From 1a4ce70ff7dd55413871bff488a7695ab8413fa4 Mon Sep 17 00:00:00 2001 From: =?UTF-8?q?=E5=BA=B7=E5=BB=BA=E4=BC=9F?= Date: Tue, 18 Feb 2020 03:44:06 +0800 Subject: [PATCH] =?UTF-8?q?:bulb:=20<07=20=E5=9B=BE>=E4=B9=A0=E9=A2=98?= =?UTF-8?q?=E4=BB=A3=E7=A0=81?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- CLion/ExerciseBook/07.14+07.16/07.14+07.16.c | 181 ++++ CLion/ExerciseBook/07.14+07.16/ALGraph.c | 737 +++++++++++++++ CLion/ExerciseBook/07.14+07.16/ALGraph.h | 162 ++++ CLion/ExerciseBook/07.14+07.16/CMakeLists.txt | 12 + .../ExerciseBook/07.14+07.16/TestData_DG.txt | 6 + .../ExerciseBook/07.14+07.16/TestData_DN.txt | 6 + .../ExerciseBook/07.14+07.16/TestData_UDG.txt | 6 + .../ExerciseBook/07.14+07.16/TestData_UDN.txt | 6 + CLion/ExerciseBook/07.15/07.15.c | 191 ++++ CLion/ExerciseBook/07.15/CMakeLists.txt | 12 + CLion/ExerciseBook/07.15/MGraph.c | 719 +++++++++++++++ CLion/ExerciseBook/07.15/MGraph.h | 160 ++++ 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VisualC++/ExerciseBook/07.42/ALGraph.h create mode 100644 VisualC++/ExerciseBook/07.42/ShortestPaths.c create mode 100644 VisualC++/ExerciseBook/07.42/ShortestPaths.h create mode 100644 VisualC++/ExerciseBook/07.42/TestData_DG.txt create mode 100644 VisualC++/ExerciseBook/07.42/TestData_DN.txt create mode 100644 VisualC++/ExerciseBook/07.42/TestData_UDG.txt create mode 100644 VisualC++/ExerciseBook/07.42/TestData_UDN.txt diff --git a/CLion/ExerciseBook/07.14+07.16/07.14+07.16.c b/CLion/ExerciseBook/07.14+07.16/07.14+07.16.c new file mode 100644 index 0000000..4308a68 --- /dev/null +++ b/CLion/ExerciseBook/07.14+07.16/07.14+07.16.c @@ -0,0 +1,181 @@ +#include +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include "Status.h" //**â–²01 绪论**// +#include "ALGraph.h" //**â–²07 图**// + +/* + * 创建图/表 + */ +Status CreateGraph_7_14(ALGraph* G, char* path[]); + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex_7_16(ALGraph* G, VertexType v); + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex_7_16(ALGraph* G, VertexType v); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * + * 对于图æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ï¼› + * 对于网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中ä¾æ¬¡åˆ—出边/弧的æƒå€¼ä»¥åŠé™„加信æ¯ã€‚ + */ +Status InsertArc_7_16(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 删除边/弧 + * + * 此删除åªæ˜¯æ›´æ–°è¾¹/弧的连通关系 + */ +Status DeleteArc_7_16(ALGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("████████ 创建并输出图/网...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph_7_14(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 删除顶点...\n"); + { + VertexType v = 'X'; + + printf("删除顶点 '%c' åŽçš„图为：\n", v); + DeleteVex_7_16(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("████████ æ’入顶点...\n"); + { + VertexType v = 'Y'; + + printf("æ’入顶点 '%c' åŽçš„图为：\n", v); + InsertVex_7_16(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("████████ æ’入边/弧...\n"); + { + // 注：是é‡å¤çš„è¾¹ + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + InfoType info[10] = {{8}, {5}, {1}, {11}, {2}, {6}, {3}, {7}, {2}, {9}}; + int k; + + // 图 + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("æ’入无æƒå€¼çš„边：<%c, %c>...\n", v[k], w[k]); + InsertArc_7_16(&G, v[k], w[k]); + } + + // 网 + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("æ’入带æƒå€¼çš„边：<%c, %c, %d>...\n", v[k], w[k], info[k].weight); + InsertArc_7_16(&G, v[k], w[k], &info[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("████████ 删除边/弧...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("删除边：<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_16(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * 创建图/表 + */ +Status CreateGraph_7_14(ALGraph* G, char* path[]) { + return CreateGraph(G, path); +} + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex_7_16(ALGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex_7_16(ALGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * + * 对于图æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ï¼› + * 对于网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中ä¾æ¬¡åˆ—出边/弧的æƒå€¼ä»¥åŠé™„加信æ¯ã€‚ + */ +Status InsertArc_7_16(ALGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + return InsertArc(G, v, w, info); +} + +/* + * 删除边/弧 + * + * 此删除åªæ˜¯æ›´æ–°è¾¹/弧的连通关系 + */ +Status DeleteArc_7_16(ALGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/CLion/ExerciseBook/07.14+07.16/ALGraph.c b/CLion/ExerciseBook/07.14+07.16/ALGraph.c new file mode 100644 index 0000000..fe1d06c --- /dev/null +++ b/CLion/ExerciseBook/07.14+07.16/ALGraph.c @@ -0,0 +1,737 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#include "ALGraph.h" + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + printf("请输入图的类型(0-有å‘图 │ 1-有å‘网 │ 2-æ— å‘图 │ 3-æ— å‘网)："); + scanf("%d", &kind); + + // 类型ä¸åˆè§„ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘图的弧数："); + scanf("%d", &arcnum); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造有å‘网 + */ +static Status CreateDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘网的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘网的弧数："); + scanf("%d", &arcnum); + printf("该有å‘网的弧上必须包å«å…¶ä»–附加信æ¯ï¼Œå› ä¸ºæ­¤å¤„çš„æƒå€¼éœ€è¦å­˜å‚¨åˆ°é™„加信æ¯ä¸­...\n"); + IncInfo = 1; + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo);// 判断弧上是å¦åŒ…å«é™„加信æ¯(此处应当包å«) + IncInfo = 1; // 强制将æƒå€¼å½•å…¥åˆ°é™„加信æ¯ä¸­ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘网ä¾æ¬¡å½•å…¥ %d æ¡å¼§(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„加信æ¯(此处需è¦å½•å…¥ç½‘çš„æƒå€¼) + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造无å‘图 + */ +static Status CreateUDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入无å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入无å‘图的边数："); + scanf("%d", &arcnum); + printf("该无å‘图的边上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入边数 + ReadData(fp, "%d", &IncInfo);// 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为无å‘图ä¾æ¬¡å½•å…¥ %d æ¡è¾¹çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + + } + + // æ’入边 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造无å‘网 + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入无å‘网的顶点数："); + scanf("%d", &vexnum); + printf("请输入无å‘网的边数："); + scanf("%d", &arcnum); + printf("该无å‘网的边上必须包å«å…¶ä»–附加信æ¯ï¼Œå› ä¸ºæ­¤å¤„çš„æƒå€¼éœ€è¦å­˜å‚¨åˆ°é™„加信æ¯ä¸­...\n"); + IncInfo = 1; + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入边数 + ReadData(fp, "%d", &IncInfo);// 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + IncInfo = 1; // 强制将æƒå€¼å½•å…¥åˆ°é™„加信æ¯ä¸­ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为无å‘网ä¾æ¬¡å½•å…¥ %d æ¡è¾¹(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„加信æ¯(此处需è¦å½•å…¥ç½‘çš„æƒå€¼) + Input(*G, &info); + } + + // æ’入边 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex(ALGraph* G, VertexType v) { + int k; + + // 顶点数过多 + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // 指定的顶点存在时，无需é‡å¤æ·»åŠ  + } + + G->vertices[(*G).vexnum].data = v; + G->vertices[(*G).vexnum].firstarc = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex(ALGraph* G, VertexType v) { + int k, i; + ArcNode* pre, * r; + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // 找到以结点v出å‘的链表，释放该链表上所有结点 + r = G->vertices[k].firstarc; + while(r != NULL) { + pre = r; + r = r->nextarc; + free(pre); + + (*G).arcnum--; + } + + G->vertices[k].firstarc = NULL; + + // é历其它所有链表，删除那些指å‘顶点v的弧；而且，下标超过k的顶点，其下标值需è¦é€’å‡ + for(i = 0; i < G->vexnum; i++) { + pre = NULL; + r = G->vertices[i].firstarc; + while(r != NULL && r->adjvex < k) { + pre = r; + r = r->nextarc; + } + + // 链表上所有顶点的下标å‡å°äºŽk + if(r == NULL) { + continue; + } + + if(r->adjvex == k) { + // 从开头删掉结点v + if(pre == NULL) { + G->vertices[i].firstarc = r->nextarc; + + // 从中间æŸä¸ªä½ç½®åˆ æŽ‰ç»“点v + } else { + pre->nextarc = r->nextarc; + } + + free(r); + + // 如果这是有å‘的图/网，ä¾ç„¶éœ€è¦é€’å‡è¾¹/å¼§çš„æ•°é‡ + if((*G).kind == DG || (*G).kind == DN) { + (*G).arcnum--; + } + } + + // å†æ¬¡ç¡®å®šrçš„ä½ç½® + if(pre == NULL) { + r = G->vertices[i].firstarc; + } else { + r = pre->nextarc; + } + + // 下标超过k的顶点，需è¦é€’å‡å…¶ä¸‹æ ‡ + while(r != NULL && r->adjvex > k) { + r->adjvex -= 1; + r = r->nextarc; + } + } + + // 顶点集å‰ç§» + for(i = k + 1; i < (*G).vexnum; i++) { + G->vertices[i - 1] = G->vertices[i]; + } + + // é¡¶ç‚¹æ•°é€’å‡ + (*G).vexnum--; + + return OK; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 删除边/弧 + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + for(count = 0; count < 2; count++) { + pre = NULL; + // 在当å‰é“¾è¡¨ä¸­æ‰¾åˆ°å¾…删除的边/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // 找到了待删除的边/弧 + if(r != NULL && r->adjvex == head) { + if(pre == NULL) { + G->vertices[tail].firstarc = r->nextarc; + } else { + pre->nextarc = r->nextarc; + } + + free(r); + } else { + return ERROR; // 没找到 + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒tailå’Œhead + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + (*G).arcnum--; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå‡ä¸€ + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.14+07.16/ALGraph.h b/CLion/ExerciseBook/07.14+07.16/ALGraph.h new file mode 100644 index 0000000..2960c9f --- /dev/null +++ b/CLion/ExerciseBook/07.14+07.16/ALGraph.h @@ -0,0 +1,162 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G); + +/* + * 构造有å‘网 + */ +static Status CreateDN(ALGraph* G); + +/* + * 构造无å‘图 + */ +static Status CreateUDG(ALGraph* G); + +/* + * 构造无å‘网 + */ +static Status CreateUDN(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex(ALGraph* G, VertexType v); + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex(ALGraph* G, VertexType v); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 删除边/弧 + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.14+07.16/CMakeLists.txt b/CLion/ExerciseBook/07.14+07.16/CMakeLists.txt new file mode 100644 index 0000000..06836ca --- /dev/null +++ b/CLion/ExerciseBook/07.14+07.16/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.14+07.16 ALGraph.h ALGraph.c 07.14+07.16.c) +# 链接公共库 +target_link_libraries(07.14+07.16 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.14+07.16/TestData_DG.txt b/CLion/ExerciseBook/07.14+07.16/TestData_DG.txt new file mode 100644 index 0000000..4768c22 --- /dev/null +++ b/CLion/ExerciseBook/07.14+07.16/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→6 +弧数→14 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，X，B，C，D，E】 +弧的集åˆâ†’ã€A，B】ã€A，C】ã€A，D】ã€B，C】ã€B，D】ã€B，E】ã€C，B】ã€C，E】ã€C，X】ã€E，A】ã€E，D】ã€E，X】ã€X，A】ã€X，D】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.14+07.16/TestData_DN.txt b/CLion/ExerciseBook/07.14+07.16/TestData_DN.txt new file mode 100644 index 0000000..953c892 --- /dev/null +++ b/CLion/ExerciseBook/07.14+07.16/TestData_DN.txt @@ -0,0 +1,6 @@ +图类型→1（有å‘网） +顶点数→6 +弧数→14 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’1 +顶点集→ã€A，X，B，C，D，E】 +弧的集åˆâ†’ã€A，B，3】ã€A，C，8】ã€A，D，11】ã€B，C，7】ã€B，D，4】ã€B，E，1】ã€C，B，5】ã€C，E，17】ã€C，X，3】ã€E，A，6】ã€E，D，4】ã€E，X，2】ã€X，A，8】ã€X，D，10】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.14+07.16/TestData_UDG.txt b/CLion/ExerciseBook/07.14+07.16/TestData_UDG.txt new file mode 100644 index 0000000..65d0356 --- /dev/null +++ b/CLion/ExerciseBook/07.14+07.16/TestData_UDG.txt @@ -0,0 +1,6 @@ +图类型→2（无å‘图） +顶点数→6 +边数→13 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，X，B，C，D，E】 +边的集åˆâ†’ã€A，B】ã€A，C】ã€A，D】ã€B，C】ã€B，D】ã€B，E】ã€C，E】ã€C，X】ã€E，A】ã€E，D】ã€E，X】ã€X，A】ã€X，D】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.14+07.16/TestData_UDN.txt b/CLion/ExerciseBook/07.14+07.16/TestData_UDN.txt new file mode 100644 index 0000000..b5f1949 --- /dev/null +++ b/CLion/ExerciseBook/07.14+07.16/TestData_UDN.txt @@ -0,0 +1,6 @@ +图类型→3（无å‘网） +顶点数→6 +边数→13 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’1 +顶点集→ã€A，X，B，C，D，E】 +边的集åˆâ†’ã€A，B，3】ã€A，C，8】ã€A，D，11】ã€B，C，7】ã€B，D，4】ã€B，E，1】ã€C，E，17】ã€C，X，3】ã€E，A，6】ã€E，D，4】ã€E，X，2】ã€X，A，8】ã€X，D，10】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.15/07.15.c b/CLion/ExerciseBook/07.15/07.15.c new file mode 100644 index 0000000..4d8f630 --- /dev/null +++ b/CLion/ExerciseBook/07.15/07.15.c @@ -0,0 +1,191 @@ +#include +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include "Status.h" //**â–²01 绪论**// +#include "MGraph.h" //**â–²07 图**// + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex_7_15(MGraph* G, VertexType v); + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex_7_15(MGraph* G, VertexType v); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * + * 对于图æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ï¼› + * 对于网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中ä¾æ¬¡åˆ—出边/弧的æƒå€¼ä»¥åŠé™„加信æ¯ã€‚ + */ +Status InsertArc_7_15(MGraph* G, VertexType v, VertexType w, ...); + +/* + * 删除边/弧 + * + * 此删除åªæ˜¯æ›´æ–°è¾¹/弧的连通关系 + */ +Status DeleteArc_7_15(MGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("████████ 创建并输出图/网...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 删除顶点...\n"); + { + VertexType v = 'X'; + + printf("删除顶点 '%c' åŽçš„图为：\n", v); + DeleteVex_7_15(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("████████ æ’入顶点...\n"); + { + VertexType v = 'Y'; + + printf("æ’入顶点 '%c' åŽçš„图为：\n", v); + InsertVex_7_15(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("████████ æ’入边/弧...\n"); + { + // 注：是é‡å¤çš„è¾¹ + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + VRType adj[10] = {8, 5, 1, 11, 2, 6, 3, 7, 2, 9}; + int k; + + // 图 + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("æ’入无æƒå€¼çš„边：<%c, %c>...\n", v[k], w[k]); + InsertArc_7_15(&G, v[k], w[k]); + } + + // 网 + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("æ’入带æƒå€¼çš„边：<%c, %c, %d>...\n", v[k], w[k], adj[k]); + InsertArc_7_15(&G, v[k], w[k], adj[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("████████ 删除边/弧...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("删除边：<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_15(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex_7_15(MGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex_7_15(MGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * + * 对于图æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ï¼› + * 对于网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中ä¾æ¬¡åˆ—出边/弧的æƒå€¼ä»¥åŠé™„加信æ¯ã€‚ + */ +Status InsertArc_7_15(MGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + VRType adj; + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + + // 图 + if((*G).kind == DG || (*G).kind == UDG) { + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + return InsertArc(G, v, w, info); + + // 网 + } else if((*G).kind == DN || (*G).kind == UDN) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + + adj = va_arg(ap, VRType); // 获å–æƒå€¼ä¿¡æ¯ + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + } + + va_end(ap); + + return InsertArc(G, v, w, adj, info); + } else { + return ERROR; + } +} + +/* + * 删除边/弧 + * + * 此删除åªæ˜¯æ›´æ–°è¾¹/弧的连通关系 + */ +Status DeleteArc_7_15(MGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/CLion/ExerciseBook/07.15/CMakeLists.txt b/CLion/ExerciseBook/07.15/CMakeLists.txt new file mode 100644 index 0000000..f442e52 --- /dev/null +++ b/CLion/ExerciseBook/07.15/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.15 MGraph.h MGraph.c 07.15.c) +# 链接公共库 +target_link_libraries(07.15 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.15/MGraph.c b/CLion/ExerciseBook/07.15/MGraph.c new file mode 100644 index 0000000..7920ec7 --- /dev/null +++ b/CLion/ExerciseBook/07.15/MGraph.c @@ -0,0 +1,719 @@ +/*================================= + * 图的数组(邻接矩阵)存储表示 + * + * 包å«ç®—法: 7.1ã€7.2ã€7.4ã€7.5ã€7.6 + ==================================*/ + +#include "MGraph.h" //**â–²07 图**// + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * ████████ 算法7.1 ████████ + * + * 创建图/表 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + printf("请输入图的类型(0-有å‘图 │ 1-有å‘网 │ 2-æ— å‘图 │ 3-æ— å‘网)："); + scanf("%d", &kind); + + // 类型ä¸åˆè§„ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // 有å‘图æ¯æ¡è¾¹çš„åˆå§‹å€¼ + VertexType v1, v2; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入有å‘图的弧数："); + scanf("%d", &((*G).arcnum)); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // åˆå§‹åŒ–有å‘图的邻接矩阵 + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + j = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + // 将指定的顶点关系设置为1，指示这两个顶点是直接连接的(注：这里没有验è¯ä¸‹æ ‡æ˜¯å¦è¶Šç•Œ) + (*G).arcs[i][j].adj = 1; + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造有å‘网 + */ +static Status CreateDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // 有å‘网æ¯æ¡å¼§çš„åˆå§‹å€¼ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("请输入有å‘网的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入有å‘网的弧数："); + scanf("%d", &((*G).arcnum)); + printf("该有å‘网的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // åˆå§‹åŒ–有å‘网的邻接矩阵 + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为有å‘网ä¾æ¬¡å½•å…¥ %d æ¡å¼§(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + scanf("%d", &w); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + j = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + // 在指定的顶点关系上记录æƒå€¼(注：这里没有验è¯ä¸‹æ ‡æ˜¯å¦è¶Šç•Œ) + (*G).arcs[i][j].adj = w; + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造无å‘图 + */ +static Status CreateUDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // æ— å‘图æ¯æ¡è¾¹çš„åˆå§‹å€¼ + VertexType v1, v2; + + if(fp == NULL) { + printf("请输入无å‘图的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入无å‘图的边数："); + scanf("%d", &((*G).arcnum)); + printf("该无å‘图的边上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入边数 + ReadData(fp, "%d", &IncInfo); // 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // åˆå§‹åŒ–æ— å‘图的邻接矩阵 + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为无å‘图ä¾æ¬¡å½•å…¥ %d æ¡è¾¹çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + j = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + // 将指定的顶点关系设置为1，指示这两个顶点是直接连接的(注：这里没有验è¯ä¸‹æ ‡æ˜¯å¦è¶Šç•Œ) + (*G).arcs[i][j].adj = 1; + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &((*G).arcs[i][j].info)); + } + + // 填充对称点 + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * ████████ 算法7.2 ████████ + * + * 构造无å‘网 + */ +static Status CreateUDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // æ— å‘网æ¯æ¡è¾¹çš„åˆå§‹å€¼ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("请输入无å‘网的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入无å‘网的边数："); + scanf("%d", &((*G).arcnum)); + printf("该无å‘网的边上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入边数 + ReadData(fp, "%d", &IncInfo); // 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // åˆå§‹åŒ–æ— å‘网的邻接矩阵 + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为无å‘网ä¾æ¬¡å½•å…¥ %d æ¡è¾¹(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + scanf("%d", &w); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + j = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + // 在指定的顶点关系上记录æƒå€¼(注：这里没有验è¯ä¸‹æ ‡æ˜¯å¦è¶Šç•Œ) + (*G).arcs[i][j].adj = w; + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &((*G).arcs[i][j].info)); + } + + // 填充对称点 + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(MGraph G, InfoType** info) { + //录入边/弧的信æ¯ï¼Œæœ¬æµ‹è¯•æ¶‰åŠåˆ°çš„è¾¹/å¼§é»˜è®¤æ— å…¶ä»–é™„åŠ ä¿¡æ¯ +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex(MGraph* G, VertexType v) { + int i, k; + VRType adj; + + // 顶点数过多 + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // 指定的顶点存在时，无需é‡å¤æ·»åŠ  + } + + // 确定一个éžè¿žé€šæ ‡è®° + if((*G).kind == DG || (*G).kind == UDG) { + adj = 0; // 图 + } else if((*G).kind == DN || (*G).kind == UDN) { + adj = INFINITE; // 网 + } else { + return ERROR; + } + + (*G).vexs[(*G).vexnum] = v; + (*G).vexnum++; + + for(i = 0; i < (*G).vexnum; i++) { + (*G).arcs[i][(*G).vexnum - 1].adj = adj; + (*G).arcs[(*G).vexnum - 1][i].adj = adj; + } + + return OK; +} + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex(MGraph* G, VertexType v) { + int i, j, k; + VRType adj; + + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // 确定一个éžè¿žé€šæ ‡è®° + if((*G).kind == DG || (*G).kind == UDG) { + adj = 0; // 图 + } else if((*G).kind == DN || (*G).kind == UDN) { + adj = INFINITE; // 网 + } else { + return ERROR; + } + + // æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + for(i = 0; i < (*G).vexnum; i++) { + // 如果存在从顶点v出å‘的边，则边的数é‡å‡ä¸€ + if((*G).arcs[k][i].adj != adj) { + (*G).arcnum--; + } + + // 如果这是有å‘的图/网，ä¾ç„¶éœ€è¦æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if((*G).kind == DG || (*G).kind == DN) { + // 如果存在到达顶点v的边，则边的数é‡å‡ä¸€ + if((*G).arcs[i][k].adj != adj) { + (*G).arcnum--; + } + } + } + + // 将邻接矩阵中的顶点关系左移 + for(j = k + 1; j < (*G).vexnum; j++) { + for(i = 0; i < (*G).vexnum; i++) { + (*G).arcs[i][j - 1] = (*G).arcs[i][j]; // å³è¾¹çš„列挪到左边的列 + } + } + + // 将邻接矩阵中的顶点关系上移 + for(i = k + 1; i < (*G).vexnum; i++) { + // 注，由于上é¢è¿›è¡Œå·¦ç§»çš„关系，所以这里的j是å°äºŽ(*G).vexnum - 1 + for(j = 0; j < (*G).vexnum - 1; j++) { + (*G).arcs[i - 1][j] = (*G).arcs[i][j]; // 下一行挪到上一行 + } + } + + // 将该顶点从顶点集中移除 + for(i = k + 1; i < (*G).vexnum; i++) { + (*G).vexs[i - 1] = (*G).vexs[i]; + } + + // 顶点数å‡ä¸€ + (*G).vexnum--; + + return OK; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * + * 对于图æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ï¼› + * 对于网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中ä¾æ¬¡åˆ—出边/弧的æƒå€¼ä»¥åŠé™„加信æ¯ã€‚ + */ +Status InsertArc(MGraph* G, VertexType v, VertexType w, ...) { + int kv, kw; + VRType adj; // 顶点关系 + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + kv = LocateVex(*G, v); + if(kv == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + kw = LocateVex(*G, w); + if(kw == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(kv == kw) { + return ERROR; + } + + /* 确定一个顶点关系 */ + + // 对于图æ¥è¯´ï¼Œè¿žé€šå…³ç³»ç”¨1表示 + if((*G).kind == DG || (*G).kind == UDG) { + adj = 1; + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + overlay = (*G).arcs[kv][kw].adj != 0; + + // 对于网æ¥è¯´ï¼Œæ­¤å¤„需è¦ä»Žå¯å˜å‚数中获å–æƒå€¼ä¿¡æ¯ + } else if((*G).kind == DN || (*G).kind == UDN) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + + adj = va_arg(ap, VRType); // 获å–æƒå€¼ä¿¡æ¯ + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + } + + va_end(ap); + + overlay = (*G).arcs[kv][kw].adj != INFINITE; + } else { + return ERROR; + } + + (*G).arcs[kv][kw].adj = adj; // 记录顶点关系 + + // 如果边/弧上存在附加信æ¯ï¼Œåˆ™è®°å½•é™„加关系 + if(IncInfo) { + (*G).arcs[kv][kw].info = info; + } + + // 如果是无å‘图/网，需è¦è€ƒè™‘对称性 + if((*G).kind == UDG || (*G).kind == UDN) { + (*G).arcs[kw][kv] = (*G).arcs[kv][kw]; + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 删除边/弧 + * + * 此删除åªæ˜¯æ›´æ–°è¾¹/弧的连通关系 + */ +Status DeleteArc(MGraph* G, VertexType v, VertexType w) { + int kv, kw; + VRType adj; + Boolean found = FALSE; // 是å¦å­˜åœ¨å¾…删除的边/弧 + + kv = LocateVex(*G, v); + if(kv == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + kw = LocateVex(*G, w); + if(kw == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // 确定一个éžè¿žé€šæ ‡è®° + if((*G).kind == DG || (*G).kind == UDG) { + adj = 0; // 图 + + found = (*G).arcs[kv][kw].adj != 0; + } else if((*G).kind == DN || (*G).kind == UDN) { + adj = INFINITE; // 网 + + found = (*G).arcs[kv][kw].adj != INFINITE; + } else { + return ERROR; + } + + // 标记这两个顶点已断开连接 + (*G).arcs[kv][kw].adj = adj; + + // 如果是无å‘图/网，需è¦è€ƒè™‘对称性 + if((*G).kind == UDG || (*G).kind == UDN) { + (*G).arcs[kw][kv] = (*G).arcs[kv][kw]; + } + + // 在找到了指定的弧时，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(found) { + (*G).arcnum--; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå‡ä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在图/网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.15/MGraph.h b/CLion/ExerciseBook/07.15/MGraph.h new file mode 100644 index 0000000..c31c48c --- /dev/null +++ b/CLion/ExerciseBook/07.15/MGraph.h @@ -0,0 +1,160 @@ +/*================================= + * 图的数组(邻接矩阵)存储表示 + * + * 包å«ç®—法: 7.1ã€7.2ã€7.4ã€7.5ã€7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // æä¾›å®INT_MAX +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + */ + +/* å®å®šä¹‰ */ +#define INFINITE INT_MAX // 最大值，用æ¥è¡¨ç¤ºç½‘中的两个顶点ä¸ç›´æŽ¥è¿žæŽ¥ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +/* + * 顶点关系类型 + * + * 在无æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸º0或1，表示两顶点是å¦ç›´æŽ¥è¿žé€šï¼› + * 在有æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸ºæƒå€¼ã€‚ + */ +typedef int VRType; + +// è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + // 如果有的è¯ï¼ŒåŽç»­ä¼šæ·»åŠ ç›¸åº”的属性 +} InfoType; + +// 边的类型，æ¯æ¡è¾¹ä¸Šå¯èƒ½æœ‰é™„加信æ¯info +typedef struct ArcCell { + VRType adj; // 顶点关系，在有æƒå›¾è·Ÿæ— æƒå›¾ä¸­çš„å«ä¹‰ä¸åŒ + InfoType* info; // 边的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcCell; + +/* 图/网的数组(邻接矩阵)存储表示类型定义 */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // 顶点å‘é‡ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // 邻接矩阵 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} MGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * ████████ 算法7.1 ████████ + * + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(MGraph* G); + +/* + * 构造有å‘网 + */ +static Status CreateDN(MGraph* G); + +/* + * 构造无å‘图 + */ +static Status CreateUDG(MGraph* G); + +/* + * ████████ 算法7.2 ████████ + * + * 构造无å‘网 + */ +static Status CreateUDN(MGraph* G); + +/* + * å½•å…¥è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(MGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(MGraph G, VertexType u); + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex(MGraph* G, VertexType v); + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex(MGraph* G, VertexType v); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * + * 对于图æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ï¼› + * 对于网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中ä¾æ¬¡åˆ—出边/弧的æƒå€¼ä»¥åŠé™„加信æ¯ã€‚ + */ +Status InsertArc(MGraph* G, VertexType v, VertexType w, ...); + +/* + * 删除边/弧 + * + * 此删除åªæ˜¯æ›´æ–°è¾¹/弧的连通关系 + */ +Status DeleteArc(MGraph* G, VertexType v, VertexType w); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在图/网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.15/TestData_DG.txt b/CLion/ExerciseBook/07.15/TestData_DG.txt new file mode 100644 index 0000000..4768c22 --- /dev/null +++ b/CLion/ExerciseBook/07.15/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→6 +弧数→14 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，X，B，C，D，E】 +弧的集åˆâ†’ã€A，B】ã€A，C】ã€A，D】ã€B，C】ã€B，D】ã€B，E】ã€C，B】ã€C，E】ã€C，X】ã€E，A】ã€E，D】ã€E，X】ã€X，A】ã€X，D】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.15/TestData_DN.txt b/CLion/ExerciseBook/07.15/TestData_DN.txt new file mode 100644 index 0000000..34f7d7a --- /dev/null +++ b/CLion/ExerciseBook/07.15/TestData_DN.txt @@ -0,0 +1,6 @@ +图类型→1（有å‘网） +顶点数→6 +弧数→14 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，X，B，C，D，E】 +弧的集åˆâ†’ã€A，B，3】ã€A，C，8】ã€A，D，11】ã€B，C，7】ã€B，D，4】ã€B，E，1】ã€C，B，5】ã€C，E，17】ã€C，X，3】ã€E，A，6】ã€E，D，4】ã€E，X，2】ã€X，A，8】ã€X，D，10】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.15/TestData_UDG.txt b/CLion/ExerciseBook/07.15/TestData_UDG.txt new file mode 100644 index 0000000..65d0356 --- /dev/null +++ b/CLion/ExerciseBook/07.15/TestData_UDG.txt @@ -0,0 +1,6 @@ +图类型→2（无å‘图） +顶点数→6 +边数→13 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，X，B，C，D，E】 +边的集åˆâ†’ã€A，B】ã€A，C】ã€A，D】ã€B，C】ã€B，D】ã€B，E】ã€C，E】ã€C，X】ã€E，A】ã€E，D】ã€E，X】ã€X，A】ã€X，D】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.15/TestData_UDN.txt b/CLion/ExerciseBook/07.15/TestData_UDN.txt new file mode 100644 index 0000000..23d0eda --- /dev/null +++ b/CLion/ExerciseBook/07.15/TestData_UDN.txt @@ -0,0 +1,6 @@ +图类型→3（无å‘网） +顶点数→6 +边数→13 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，X，B，C，D，E】 +边的集åˆâ†’ã€A，B，3】ã€A，C，8】ã€A，D，11】ã€B，C，7】ã€B，D，4】ã€B，E，1】ã€C，E，17】ã€C，X，3】ã€E，A，6】ã€E，D，4】ã€E，X，2】ã€X，A，8】ã€X，D，10】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.17/07.17.c b/CLion/ExerciseBook/07.17/07.17.c new file mode 100644 index 0000000..7d54d13 --- /dev/null +++ b/CLion/ExerciseBook/07.17/07.17.c @@ -0,0 +1,169 @@ +#include +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include "Status.h" //**â–²01 绪论**// +#include "OLGraph.h" //**â–²07 图**// + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex_7_17(OLGraph* G, VertexType v); + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex_7_17(OLGraph* G, VertexType v); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * + * 对于图æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ï¼› + * 对于网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中ä¾æ¬¡åˆ—出边/弧的æƒå€¼ä»¥åŠé™„加信æ¯ã€‚ + */ +Status InsertArc_7_17(OLGraph* G, VertexType v, VertexType w, ...); + +/* + * 删除边/弧 + * + * 此删除åªæ˜¯æ›´æ–°è¾¹/弧的连通关系 + */ +Status DeleteArc_7_17(OLGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + OLGraph G; + + printf("████████ 创建并输出图/网...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 删除顶点...\n"); + { + VertexType v = 'X'; + + printf("删除顶点 '%c' åŽçš„图为：\n", v); + DeleteVex_7_17(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("████████ æ’入顶点...\n"); + { + VertexType v = 'Y'; + + printf("æ’入顶点 '%c' åŽçš„图为：\n", v); + InsertVex_7_17(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("████████ æ’入边/弧...\n"); + { + // 注：是é‡å¤çš„è¾¹ + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + InfoType info[10] = {{8}, {5}, {1}, {11}, {2}, {6}, {3}, {7}, {2}, {9}}; + int k; + + // 图 + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("æ’入无æƒå€¼çš„边：<%c, %c>...\n", v[k], w[k]); + InsertArc_7_17(&G, v[k], w[k]); + } + + // 网 + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("æ’入带æƒå€¼çš„边：<%c, %c, %d>...\n", v[k], w[k], info[k].weight); + InsertArc_7_17(&G, v[k], w[k], &info[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("████████ 删除边/弧...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("删除边：<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_17(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex_7_17(OLGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex_7_17(OLGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * + * 对于图æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ï¼› + * 对于网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中ä¾æ¬¡åˆ—出边/弧的æƒå€¼ä»¥åŠé™„加信æ¯ã€‚ + */ +Status InsertArc_7_17(OLGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + return InsertArc(G, v, w, info); +} + +/* + * 删除边/弧 + * + * 此删除åªæ˜¯æ›´æ–°è¾¹/弧的连通关系 + */ +Status DeleteArc_7_17(OLGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/CLion/ExerciseBook/07.17/CMakeLists.txt b/CLion/ExerciseBook/07.17/CMakeLists.txt new file mode 100644 index 0000000..35cd375 --- /dev/null +++ b/CLion/ExerciseBook/07.17/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.17 OLGraph.h OLGraph.c 07.17.c) +# 链接公共库 +target_link_libraries(07.17 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.17/OLGraph.c b/CLion/ExerciseBook/07.17/OLGraph.c new file mode 100644 index 0000000..be3dd6e --- /dev/null +++ b/CLion/ExerciseBook/07.17/OLGraph.c @@ -0,0 +1,861 @@ +/*==================== + * 图的å字链表存储表示 + * + * 包å«ç®—法: 7.3 + ====================*/ + +#include "OLGraph.h" + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图的边上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(OLGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + printf("请输入图的类型(0-有å‘图 │ 1-有å‘网 │ 2-æ— å‘图 │ 3-æ— å‘网)："); + scanf("%d", &kind); + + // 类型ä¸åˆè§„ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ████████ 算法7.3 ████████ + * + * 构造有å‘图 + * + * 注： + * æ•™æ中使用了头æ’法æ¥æ’入弧，这ç§åšæ³•çš„唯一优点是æ’入方便， + * 但是在涉åŠåˆ°åˆ é™¤æˆ–查找时，效率较低； + * 而且，"头æ’法"ä¾èµ–输入的顺åºï¼Œå¦‚果输入的边/弧是乱åºçš„， + * 则最终构造出的图/网中的边/弧也是无åºçš„。 + * + * 为了克æœä»¥ä¸Šç¼ºç‚¹ï¼Œè¿™é‡Œæ”¹ç”¨"å‡åº"æ’入法，ä¿è¯æ’入的弧是"å‡åº"的。 + * 但åŒæ—¶ï¼Œè¿™æ ·åšä¼šä½¿"æ’å…¥"算法å˜å¾—较为å¤æ‚。 + */ +static Status CreateDG(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘图的弧数："); + scanf("%d", &arcnum); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造有å‘网 + */ +static Status CreateDN(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘网的弧数："); + scanf("%d", &arcnum); + printf("该有å‘网的弧上必须包å«å…¶ä»–附加信æ¯ï¼Œå› ä¸ºæ­¤å¤„çš„æƒå€¼éœ€è¦å­˜å‚¨åˆ°é™„加信æ¯ä¸­...\n"); + IncInfo = 1; + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo);// 判断弧上是å¦åŒ…å«é™„加信æ¯(此处应当包å«) + IncInfo = 1; // 强制将æƒå€¼å½•å…¥åˆ°é™„加信æ¯ä¸­ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘网ä¾æ¬¡å½•å…¥ %d æ¡å¼§(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„加信æ¯(此处需è¦å½•å…¥ç½‘çš„æƒå€¼) + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造无å‘图 + */ +static Status CreateUDG(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入无å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入无å‘图的边数："); + scanf("%d", &arcnum); + printf("该无å‘图的边上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入边数 + ReadData(fp, "%d", &IncInfo);// 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为无å‘图ä¾æ¬¡å½•å…¥ %d æ¡è¾¹çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入边 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造无å‘网 + */ +static Status CreateUDN(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入无å‘网的顶点数："); + scanf("%d", &vexnum); + printf("请输入无å‘网的边数："); + scanf("%d", &arcnum); + printf("该无å‘网的边上必须包å«å…¶ä»–附加信æ¯ï¼Œå› ä¸ºæ­¤å¤„çš„æƒå€¼éœ€è¦å­˜å‚¨åˆ°é™„加信æ¯ä¸­...\n"); + IncInfo = 1; + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入边数 + ReadData(fp, "%d", &IncInfo);// 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + IncInfo = 1; // 强制将æƒå€¼å½•å…¥åˆ°é™„加信æ¯ä¸­ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为无å‘网ä¾æ¬¡å½•å…¥ %d æ¡è¾¹(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„加信æ¯(此处需è¦å½•å…¥ç½‘çš„æƒå€¼) + Input(*G, &info); + } + + // æ’入边 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * å½•å…¥å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(OLGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(OLGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.xlist[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex(OLGraph* G, VertexType v) { + int k; + + // 顶点数过多 + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // 指定的顶点存在时，无需é‡å¤æ·»åŠ  + } + + G->xlist[(*G).vexnum].data = v; + G->xlist[(*G).vexnum].firstin = NULL; + G->xlist[(*G).vexnum].firstout = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex(OLGraph* G, VertexType v) { + int k, i; + ArcBox* pre, * r; + ArcBox* pre2, * r2; + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // 找到以结点v出å‘的链表，释放该链表上所有结点 + r = G->xlist[k].firstout; + while(r != NULL) { + pre = r; + r = r->tlink; + + // 在纵å‘链表上查找preçš„ä½ç½® + pre2 = NULL; + r2 = G->xlist[pre->headvex].firstin; // 至此，r2一定ä¸ä¸ºNULL + while(r2 != NULL && r2->tailvex != k) { + pre2 = r2; + r2 = r2->hlink; + } + + // 至此，r2一定指å‘了待删除的弧 + if(pre2 == NULL) { + G->xlist[pre->headvex].firstin = r2->hlink; + } else { + pre2->hlink = r2->hlink; + } + + free(pre); + + (*G).arcnum--; + } + + G->xlist[k].firstout = NULL; + + // é历其它所有链表，删除那些指å‘顶点v的弧；而且，下标超过k的顶点，其下标值需è¦é€’å‡ + for(i = 0; i < G->vexnum; i++) { + pre = NULL; + r = G->xlist[i].firstout; + while(r != NULL && r->headvex < k) { + if(r->tailvex > k) { + r->tailvex -= 1; + } + pre = r; + r = r->tlink; + } + + // 链表上所有顶点的下标å‡å°äºŽk + if(r == NULL) { + continue; + } + + if(r->headvex == k) { + // 从开头删掉结点v + if(pre == NULL) { + G->xlist[i].firstout = r->tlink; + + // 从中间æŸä¸ªä½ç½®åˆ æŽ‰ç»“点v + } else { + pre->tlink = r->tlink; + } + + // 在纵å‘链表上查找rçš„ä½ç½® + pre2 = NULL; + r2 = G->xlist[k].firstin; // 至此，r2一定ä¸ä¸ºNULL + while(r2 != NULL && r2->tailvex != r->tailvex) { + pre2 = r2; + r2 = r2->hlink; + } + + // 至此，r2一定指å‘了待删除的弧 + if(pre2 == NULL) { + G->xlist[k].firstin = r2->hlink; + } else { + pre2->hlink = r2->hlink; + } + + free(r); + + // 如果这是有å‘的图/网，ä¾ç„¶éœ€è¦é€’å‡è¾¹/å¼§çš„æ•°é‡ + if((*G).kind == DG || (*G).kind == DN) { + (*G).arcnum--; + } + } + + // å†æ¬¡ç¡®å®šrçš„ä½ç½® + if(pre == NULL) { + r = G->xlist[i].firstout; + } else { + r = pre->tlink; + } + + // 下标超过k的顶点，需è¦é€’å‡å…¶ä¸‹æ ‡ + while(r != NULL) { + if(r->tailvex > k) { + r->tailvex -= 1; + } + + if(r->headvex > k) { + r->headvex -= 1; + } + + r = r->tlink; + } + } + + // 顶点集å‰ç§» + for(i = k + 1; i < (*G).vexnum; i++) { + G->xlist[i - 1] = G->xlist[i]; + } + + // é¡¶ç‚¹æ•°é€’å‡ + (*G).vexnum--; + + return OK; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info) { + ArcBox* p = (ArcBox*) malloc(sizeof(ArcBox)); + if(!p) { + exit(OVERFLOW); + } + + p->tailvex = tailvex; + p->headvex = headvex; + + p->hlink = hlink; + p->tlink = tlink; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcBox* p; + ArcBox* pre; + ArcBox* r; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + + // 在横å‘链表上查找åˆé€‚çš„æ’å…¥ä½ç½® + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->xlist[tail].firstout; + while(r != NULL && r->headvex < head) { + pre = r; + r = r->tlink; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->headvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + p = newArcBoxPtr(tail, head, NULL, r, info); + + if(pre == NULL) { + G->xlist[tail].firstout = p; + } else { + pre->tlink = p; + } + } + + // 如果没有å‘生覆盖，说明æ’入了新结点，此时需è¦è€ƒè™‘其在纵å‘链表上的ä½ç½® + if(overlay == FALSE) { + // 在纵å‘链表上查找åˆé€‚çš„æ’å…¥ä½ç½® + pre = NULL; + // 指å‘以head为头的首æ¡è¾¹/弧 + r = G->xlist[head].firstin; + while(r != NULL && r->tailvex < tail) { + pre = r; + r = r->hlink; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->tailvex == tail) { + // ä¸ä¼šæ‰§è¡Œåˆ°è¿™é‡Œï¼Œå› ä¸ºå¦‚æžœå‘生了覆盖，å‰é¢è¿›ä¸æ¥ + } else { + /* 至此，结点på·²ç»å­˜åœ¨äº† */ + + if(pre == NULL) { + p->hlink = G->xlist[head].firstin; + G->xlist[head].firstin = p; + } else { + p->hlink = pre->hlink; + pre->hlink = p; + } + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 删除边/弧 + */ +Status DeleteArc(OLGraph* G, VertexType v, VertexType w) { + int tail, head, k, count; + ArcBox* pre, * r; + ArcBox* pre2, * r2; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + for(count = 0; count < 2; count++) { + pre = NULL; + // 在横å‘链表中找到待删除的边/弧 + r = G->xlist[tail].firstout; + while(r != NULL && r->headvex < head) { + pre = r; + r = r->tlink; + } + + // 找到了待删除的边/弧 + if(r != NULL && r->headvex == head) { + if(pre == NULL) { + G->xlist[tail].firstout = r->tlink; + } else { + pre->tlink = r->tlink; + } + + // 在纵å‘链表上查找rçš„ä½ç½® + pre2 = NULL; + r2 = G->xlist[head].firstin; // 至此，r2一定ä¸ä¸ºNULL + while(r2 != NULL && r2->tailvex != r->tailvex) { + pre2 = r2; + r2 = r2->hlink; + } + + // 至此，r2一定指å‘了待删除的弧 + if(pre2 == NULL) { + G->xlist[head].firstin = r2->hlink; + } else { + pre2->hlink = r2->hlink; + } + + free(r); + } else { + return ERROR; // 没找到 + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒tailå’Œhead + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + (*G).arcnum--; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå‡ä¸€ + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(OLGraph G) { + int i, head; + ArcBox* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.xlist[i].data); + + head = 0; + p = G.xlist[i].firstout; + + while(p != NULL) { + if(head < p->headvex) { + if(IncInfo == 0) { + printf(" "); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf(" "); + } + } else { + if(IncInfo == 0) { + printf("<%c, %c>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("<%c, %c, %2d>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data, p->info->weight); + } + + p = p->tlink; + } + + head++; + + if(p != NULL) { + printf(" "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.17/OLGraph.h b/CLion/ExerciseBook/07.17/OLGraph.h new file mode 100644 index 0000000..4e7f9b6 --- /dev/null +++ b/CLion/ExerciseBook/07.17/OLGraph.h @@ -0,0 +1,178 @@ +/*==================== + * 图的å字链表存储表示 + * + * 包å«ç®—法: 7.3 + ====================*/ + +#ifndef OLGRAPH_H +#define OLGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨æœ‰å‘图。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcBox { + int tailvex; // 弧头顶点ä½ç½® + int headvex; // 弧尾顶点ä½ç½® + struct ArcBox* hlink; // 指å‘下一个拥有相åŒå¼§å¤´çš„弧 + struct ArcBox* tlink; // 指å‘下一个拥有相åŒå¼§å°¾çš„弧 + InfoType* info; // è¯¥å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +} ArcBox; + +// æ¯ä¸ªæ¨ªå‘链表的头结点 +typedef struct VexNode { + VertexType data; // 顶点 + ArcBox* firstin; // 指å‘该顶点的第一æ¡å…¥å¼§ + ArcBox* firstout; // 指å‘该顶点的第一æ¡å‡ºå¼§ +} VexNode; + +/* 图的å字链表存储表示类型定义 */ +typedef struct { + VexNode xlist[MAX_VERTEX_NUM]; // 表头å‘é‡ + int vexnum, arcnum; // 顶点数和弧数 + GraphKind kind; // 图的类型标志 +} OLGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(OLGraph* G, char* path[]); + +/* + * ████████ 算法7.3 ████████ + * + * 构造有å‘图 + * + * 注： + * æ•™æ中使用了头æ’法æ¥æ’入弧，这ç§åšæ³•çš„唯一优点是æ’入方便， + * 但是在涉åŠåˆ°åˆ é™¤æˆ–查找时，效率较低； + * 而且，"头æ’法"ä¾èµ–输入的顺åºï¼Œå¦‚果输入的边/弧是乱åºçš„， + * 则最终构造出的图/网中的边/弧也是无åºçš„。 + * + * 为了克æœä»¥ä¸Šç¼ºç‚¹ï¼Œè¿™é‡Œæ”¹ç”¨"å‡åº"æ’入法，ä¿è¯æ’入的弧是"å‡åº"的。 + * 但åŒæ—¶ï¼Œè¿™æ ·åšä¼šä½¿"æ’å…¥"算法å˜å¾—较为å¤æ‚。 + */ +static Status CreateDG(OLGraph* G); + +/* + * 构造有å‘网 + */ +static Status CreateDN(OLGraph* G); + +/* + * 构造无å‘图 + */ +static Status CreateUDG(OLGraph* G); + +/* + * 构造无å‘网 + */ +static Status CreateUDN(OLGraph* G); + +/* + * å½•å…¥å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(OLGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(OLGraph G, VertexType u); + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex(OLGraph* G, VertexType v); + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex(OLGraph* G, VertexType v); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...); + +/* + * 删除边/弧 + */ +Status DeleteArc(OLGraph* G, VertexType v, VertexType w); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(OLGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.17/TestData_DG.txt b/CLion/ExerciseBook/07.17/TestData_DG.txt new file mode 100644 index 0000000..4768c22 --- /dev/null +++ b/CLion/ExerciseBook/07.17/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→6 +弧数→14 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，X，B，C，D，E】 +弧的集åˆâ†’ã€A，B】ã€A，C】ã€A，D】ã€B，C】ã€B，D】ã€B，E】ã€C，B】ã€C，E】ã€C，X】ã€E，A】ã€E，D】ã€E，X】ã€X，A】ã€X，D】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.17/TestData_DN.txt b/CLion/ExerciseBook/07.17/TestData_DN.txt new file mode 100644 index 0000000..953c892 --- /dev/null +++ b/CLion/ExerciseBook/07.17/TestData_DN.txt @@ -0,0 +1,6 @@ +图类型→1（有å‘网） +顶点数→6 +弧数→14 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’1 +顶点集→ã€A，X，B，C，D，E】 +弧的集åˆâ†’ã€A，B，3】ã€A，C，8】ã€A，D，11】ã€B，C，7】ã€B，D，4】ã€B，E，1】ã€C，B，5】ã€C，E，17】ã€C，X，3】ã€E，A，6】ã€E，D，4】ã€E，X，2】ã€X，A，8】ã€X，D，10】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.17/TestData_UDG.txt b/CLion/ExerciseBook/07.17/TestData_UDG.txt new file mode 100644 index 0000000..65d0356 --- /dev/null +++ b/CLion/ExerciseBook/07.17/TestData_UDG.txt @@ -0,0 +1,6 @@ +图类型→2（无å‘图） +顶点数→6 +边数→13 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，X，B，C，D，E】 +边的集åˆâ†’ã€A，B】ã€A，C】ã€A，D】ã€B，C】ã€B，D】ã€B，E】ã€C，E】ã€C，X】ã€E，A】ã€E，D】ã€E，X】ã€X，A】ã€X，D】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.17/TestData_UDN.txt b/CLion/ExerciseBook/07.17/TestData_UDN.txt new file mode 100644 index 0000000..b5f1949 --- /dev/null +++ b/CLion/ExerciseBook/07.17/TestData_UDN.txt @@ -0,0 +1,6 @@ +图类型→3（无å‘网） +顶点数→6 +边数→13 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’1 +顶点集→ã€A，X，B，C，D，E】 +边的集åˆâ†’ã€A，B，3】ã€A，C，8】ã€A，D，11】ã€B，C，7】ã€B，D，4】ã€B，E，1】ã€C，E，17】ã€C，X，3】ã€E，A，6】ã€E，D，4】ã€E，X，2】ã€X，A，8】ã€X，D，10】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.18-07.19/07.18-07.19.c b/CLion/ExerciseBook/07.18-07.19/07.18-07.19.c new file mode 100644 index 0000000..e3e2e66 --- /dev/null +++ b/CLion/ExerciseBook/07.18-07.19/07.18-07.19.c @@ -0,0 +1,181 @@ +#include +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include "Status.h" //**â–²01 绪论**// +#include "AMLGraph.h" //**â–²07 图**// + +/* + * 创建图/表 + */ +Status CreateGraph_7_19(AMLGraph* G, char* path[]); + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex_7_18(AMLGraph* G, VertexType v); + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex_7_18(AMLGraph* G, VertexType v); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * + * 对于图æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ï¼› + * 对于网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中ä¾æ¬¡åˆ—出边/弧的æƒå€¼ä»¥åŠé™„加信æ¯ã€‚ + */ +Status InsertArc_7_18(AMLGraph* G, VertexType v, VertexType w, ...); + +/* + * 删除边/弧 + * + * 此删除åªæ˜¯æ›´æ–°è¾¹/弧的连通关系 + */ +Status DeleteArc_7_18(AMLGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + AMLGraph G; + + printf("████████ 创建并输出图/网...\n"); + { + char* path[4]; + + path[0] = ""; + path[1] = ""; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph_7_19(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 删除顶点...\n"); + { + VertexType v = 'X'; + + printf("删除顶点 '%c' åŽçš„图为：\n", v); + DeleteVex_7_18(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("████████ æ’入顶点...\n"); + { + VertexType v = 'Y'; + + printf("æ’入顶点 '%c' åŽçš„图为：\n", v); + InsertVex_7_18(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("████████ æ’入边/弧...\n"); + { + // 注：是é‡å¤çš„è¾¹ + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + InfoType info[10] = {{8}, {5}, {1}, {11}, {2}, {6}, {3}, {7}, {2}, {9}}; + int k; + + // 图 + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("æ’入无æƒå€¼çš„边：<%c, %c>...\n", v[k], w[k]); + InsertArc_7_18(&G, v[k], w[k]); + } + + // 网 + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("æ’入带æƒå€¼çš„边：<%c, %c, %d>...\n", v[k], w[k], info[k].weight); + InsertArc_7_18(&G, v[k], w[k], &info[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("████████ 删除边/弧...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("删除边：<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_18(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * 创建图/表 + */ +Status CreateGraph_7_19(AMLGraph* G, char* path[]) { + return CreateGraph(G, path); +} + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex_7_18(AMLGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex_7_18(AMLGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * + * 对于图æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ï¼› + * 对于网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中ä¾æ¬¡åˆ—出边/弧的æƒå€¼ä»¥åŠé™„加信æ¯ã€‚ + */ +Status InsertArc_7_18(AMLGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + return InsertArc(G, v, w, info); +} + +/* + * 删除边/弧 + * + * 此删除åªæ˜¯æ›´æ–°è¾¹/弧的连通关系 + */ +Status DeleteArc_7_18(AMLGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/CLion/ExerciseBook/07.18-07.19/AMLGraph.c b/CLion/ExerciseBook/07.18-07.19/AMLGraph.c new file mode 100644 index 0000000..4bfacd4 --- /dev/null +++ b/CLion/ExerciseBook/07.18-07.19/AMLGraph.c @@ -0,0 +1,715 @@ +/*===================== + * 图的邻接多é‡è¡¨å­˜å‚¨è¡¨ç¤º + ======================*/ + +#include "AMLGraph.h" + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图的边上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(AMLGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + printf("请输入图的类型(2-æ— å‘图 │ 3-æ— å‘网)："); + scanf("%d", &kind); + + // 类型ä¸åˆè§„(åªæŽ¥å—æ— å‘的图/网) + if(kind < 2 || kind > 3) { + return ERROR; + } + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæ— å‘图或无å‘ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造无å‘图 + */ +static Status CreateUDG(AMLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).edgenum = 0; + + if(fp == NULL) { + printf("请输入无å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入无å‘图的边数："); + scanf("%d", &arcnum); + printf("该无å‘图的边上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入边数 + ReadData(fp, "%d", &IncInfo);// 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为无å‘图ä¾æ¬¡å½•å…¥ %d æ¡è¾¹çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入边 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造无å‘网 + */ +static Status CreateUDN(AMLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).edgenum = 0; + + if(fp == NULL) { + printf("请输入无å‘网的顶点数："); + scanf("%d", &vexnum); + printf("请输入无å‘网的边数："); + scanf("%d", &arcnum); + printf("该无å‘网的边上必须包å«å…¶ä»–附加信æ¯ï¼Œå› ä¸ºæ­¤å¤„çš„æƒå€¼éœ€è¦å­˜å‚¨åˆ°é™„加信æ¯ä¸­...\n"); + IncInfo = 1; + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入边数 + ReadData(fp, "%d", &IncInfo);// 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + IncInfo = 1; // 强制将æƒå€¼å½•å…¥åˆ°é™„加信æ¯ä¸­ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为无å‘网ä¾æ¬¡å½•å…¥ %d æ¡è¾¹(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„加信æ¯(此处需è¦å½•å…¥ç½‘çš„æƒå€¼) + Input(*G, &info); + } + + // æ’入边 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * å½•å…¥è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(AMLGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(AMLGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.adjmulist[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex(AMLGraph* G, VertexType v) { + int k; + + // 顶点数过多 + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // 指定的顶点存在时，无需é‡å¤æ·»åŠ  + } + + G->adjmulist[(*G).vexnum].data = v; + G->adjmulist[(*G).vexnum].firstedge = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex(AMLGraph* G, VertexType v) { + int i, k, other; + EBox* p; + EBox* pre, * r; + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + while((p = G->adjmulist[k].firstedge) != NULL) { + if(p->ivex == k) { + G->adjmulist[k].firstedge = p->ilink; + other = p->jvex; + } else if(p->jvex == k) { + G->adjmulist[k].firstedge = p->jlink; + other = p->ivex; + } else { + // 没有其他å¯èƒ½ + } + + pre = NULL; + r = G->adjmulist[other].firstedge; + + // 查找边，肯定能找到 + while(r != NULL) { + if(r->ivex == other && r->jvex < k) { + pre = r; + r = r->ilink; + } else if(r->jvex == other && r->ivex < k) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == other && r->jvex == k) { + if(pre == NULL) { + G->adjmulist[other].firstedge = r->ilink; + } else { + if(pre->ivex == other) { + pre->ilink = r->ilink; + } else if(pre->jvex == other) { + pre->jlink = r->ilink; + } else { + // 没有其他å¯èƒ½ + } + } + } else if(r != NULL && r->jvex == other && r->ivex == k) { + if(pre == NULL) { + G->adjmulist[other].firstedge = r->jlink; + } else { + if(pre->ivex == other) { + pre->ilink = r->jlink; + } else if(pre->jvex == other) { + pre->jlink = r->jlink; + } else { + // 没有其他å¯èƒ½ + } + } + } else { + // ä¸ä¼šè‡³æ­¤ï¼Œå› ä¸ºè‚¯å®šèƒ½æ‰¾åˆ° + } + + free(p); + + (*G).edgenum--; // 边数å‡ä¸€ + } + + // 下标超过k的顶点，需è¦é€’å‡å…¶ä¸‹æ ‡ + for(i = k + 1; i < (*G).vexnum; i++) { + r = G->adjmulist[i].firstedge; + + while(r!=NULL){ + if(r->ivex==i) { + r->ivex--; + r = r->ilink; + } else if(r->jvex==i) { + r->jvex--; + r = r->jlink; + } else { + // ä¸ä¼šè‡³æ­¤ + } + } + } + + // 顶点集å‰ç§» + for(i = k + 1; i < (*G).vexnum; i++) { + G->adjmulist[i - 1] = G->adjmulist[i]; + } + + // é¡¶ç‚¹æ•°é€’å‡ + (*G).vexnum--; + + return OK; +} + +/* + * 构造一个边结点(ä»…é™å†…部使用) + */ +static EBox* newEBoxPtr(VisitIf mark, int ivex, int jvex, EBox* ilink, EBox* jlink, InfoType* info) { + EBox* p = (EBox*) malloc(sizeof(EBox)); + if(!p) { + exit(OVERFLOW); + } + + p->mark = mark; + + p->ivex = ivex; + p->jvex = jvex; + + p->ilink = ilink; + p->jlink = jlink; + + p->info = info; + + return p; +} + +/* + * æ’入边 + * + * 当å‰å›¾/网是无å‘的，且由于特殊的结构，使得æ’入一æ¡è¾¹æ—¶åªéœ€è¦å¢žåŠ ä¸€å¯¹é¡¶ç‚¹å…³ç³»ï¼Œè¾¹çš„æ•°é‡ä¾ç„¶å¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹çš„æƒå€¼ã€‚ + */ +Status InsertArc(AMLGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k; + EBox* p; + EBox* pre; + EBox* r; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // å¦‚æžœè¾¹ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + pre = NULL; + r = G->adjmulist[tail].firstedge; + + while(r != NULL) { + if(r->ivex == tail && r->jvex < head) { + pre = r; + r = r->ilink; + } else if(r->jvex == tail && r->ivex < head) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == tail && r->jvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else if(r != NULL && r->jvex == tail && r->ivex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + p = newEBoxPtr(unvisit, tail, head, r, NULL, info); + + if(pre == NULL) { + G->adjmulist[tail].firstedge = p; + } else { + if(pre->ivex == tail) { + pre->ilink = p; + } else if(pre->jvex == tail) { + pre->jlink = p; + } else { + // 没有其他å¯èƒ½ + } + } + } + + if(!overlay) { + pre = NULL; + r = G->adjmulist[head].firstedge; + + while(r != NULL) { + if(r->ivex == head && r->jvex < tail) { + pre = r; + r = r->ilink; + } else if(r->jvex == head && r->ivex < tail) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + p->jlink = r; + + if(pre == NULL) { + G->adjmulist[head].firstedge = p; + } else { + if(pre->ivex == head) { + pre->ilink = p; + } else if(pre->jvex == head) { + pre->jlink = p; + } else { + // 没有其他å¯èƒ½ + } + } + } + + (*G).edgenum++; // 边数增一 + + return OK; +} + +/* + * 删除边 + */ +Status DeleteArc(AMLGraph* G, VertexType v, VertexType w) { + int tail, head; + EBox* r; + EBox* pre; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + pre = NULL; + r = G->adjmulist[tail].firstedge; + + while(r != NULL) { + if(r->ivex == tail && r->jvex < head) { + pre = r; + r = r->ilink; + } else if(r->jvex == tail && r->ivex < head) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == tail && r->jvex == head) { + if(pre == NULL) { + G->adjmulist[tail].firstedge = r->ilink; + } else { + if(pre->ivex == tail) { + pre->ilink = r->ilink; + } else if(pre->jvex == tail) { + pre->jlink = r->ilink; + } else { + // 没有其他å¯èƒ½ + } + } + } else if(r != NULL && r->jvex == tail && r->ivex == head) { + if(pre == NULL) { + G->adjmulist[tail].firstedge = r->jlink; + } else { + if(pre->ivex == tail) { + pre->ilink = r->jlink; + } else if(pre->jvex == tail) { + pre->jlink = r->jlink; + } else { + // 没有其他å¯èƒ½ + } + } + } else { + return ERROR; // 未找到 + } + + + pre = NULL; + r = G->adjmulist[head].firstedge; + + while(r != NULL) { + if(r->ivex == head && r->jvex < tail) { + pre = r; + r = r->ilink; + } else if(r->jvex == head && r->ivex < tail) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == head && r->jvex == tail) { + if(pre == NULL) { + G->adjmulist[head].firstedge = r->ilink; + } else { + if(pre->ivex == head) { + pre->ilink = r->ilink; + } else if(pre->jvex == head) { + pre->jlink = r->ilink; + } else { + // 没有其他å¯èƒ½ + } + } + } else if(r != NULL && r->jvex == head && r->ivex == tail) { + if(pre == NULL) { + G->adjmulist[head].firstedge = r->jlink; + } else { + if(pre->ivex == head) { + pre->ilink = r->jlink; + } else if(pre->jvex == head) { + pre->jlink = r->jlink; + } else { + // 没有其他å¯èƒ½ + } + } + } else { + // ä¸ä¼šè‡³æ­¤ï¼Œå› ä¸ºå‰é¢æ‰¾åˆ°äº†ï¼Œæ­¤å¤„肯定也能找到 + } + + free(r); // 释放内存 + + (*G).edgenum--; // 边数å‡ä¸€ + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(AMLGraph G) { + int i, cur, pos; + EBox* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹...\n", G.vexnum, G.edgenum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.adjmulist[i].data); + + cur = 0; + p = G.adjmulist[i].firstedge; + + while(p != NULL) { + if(p->ivex == i) { + pos = p->jvex; + } else { + pos = p->ivex; + } + + if(cur < pos) { + if(IncInfo == 0) { + printf(" "); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf(" "); + } + } else { + if(IncInfo == 0) { + printf("%c", G.adjmulist[pos].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d]", G.adjmulist[pos].data, p->info->weight); + } + + if(p->ivex == i) { + p = p->ilink; + } else { + p = p->jlink; + } + } + + cur++; + + if(p != NULL) { + printf(" "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.18-07.19/AMLGraph.h b/CLion/ExerciseBook/07.18-07.19/AMLGraph.h new file mode 100644 index 0000000..d1e53d9 --- /dev/null +++ b/CLion/ExerciseBook/07.18-07.19/AMLGraph.h @@ -0,0 +1,162 @@ +/*===================== + * 图的邻接多é‡è¡¨å­˜å‚¨è¡¨ç¤º + ======================*/ + +#ifndef AMLGRAPH_H +#define AMLGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨æ— å‘图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +// 图的类型 +typedef enum { + DG, // 0-有å‘图；此处ä¸æ”¯æŒ + DN, // 1-有å‘网(带æƒå€¼)；此处ä¸æ”¯æŒ + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + + +/* æ— å‘图（邻接多é‡è¡¨ï¼‰ç±»åž‹å®šä¹‰ */ +typedef enum { + unvisit, visit +} VisitIf; + +// 顶点类型 +typedef char VertexType; + +// è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* 边结点 */ +typedef struct EBox { + VisitIf mark; // 访问标记 + int ivex; // 该边ä¾é™„的两个顶点的ä½ç½® + int jvex; // 该边ä¾é™„的两个顶点的ä½ç½® + struct EBox* ilink; // 分别指å‘ä¾é™„这两个顶点的下一æ¡è¾¹ + struct EBox* jlink; // 分别指å‘ä¾é™„这两个顶点的下一æ¡è¾¹ + InfoType* info; +} EBox; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VexBox { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + EBox* firstedge; // 指å‘第一æ¡ä¾é™„该顶点的边的指针 +} VexBox; + +/* 图的邻接多é‡è¡¨å­˜å‚¨è¡¨ç¤ºç±»åž‹å®šä¹‰ */ +typedef struct { + VexBox adjmulist[MAX_VERTEX_NUM]; // 表头å‘é‡ + int vexnum, edgenum; // 图/网的顶点数和边数 + GraphKind kind; // 图的类型标志 +} AMLGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(AMLGraph* G, char* path[]); + +/* + * 构造无å‘图 + */ +static Status CreateUDG(AMLGraph* G); + +/* + * 构造无å‘网 + */ +static Status CreateUDN(AMLGraph* G); + +/* + * å½•å…¥è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(AMLGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(AMLGraph G, VertexType u); + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex(AMLGraph* G, VertexType v); + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex(AMLGraph* G, VertexType v); + +/* + * 构造一个边结点(ä»…é™å†…部使用) + */ +static EBox* newEBoxPtr(VisitIf mark, int ivex, int jvex, EBox* ilink, EBox* jlink, InfoType* info); + +/* + * æ’入边 + * + * 当å‰å›¾/网是无å‘的，且由于特殊的结构，使得æ’入一æ¡è¾¹æ—¶åªéœ€è¦å¢žåŠ ä¸€å¯¹é¡¶ç‚¹å…³ç³»ï¼Œè¾¹çš„æ•°é‡ä¾ç„¶å¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹çš„æƒå€¼ã€‚ + */ +Status InsertArc(AMLGraph* G, VertexType v, VertexType w, ...); + +/* + * 删除边 + */ +Status DeleteArc(AMLGraph* G, VertexType v, VertexType w); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(AMLGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.18-07.19/CMakeLists.txt b/CLion/ExerciseBook/07.18-07.19/CMakeLists.txt new file mode 100644 index 0000000..9376fca --- /dev/null +++ b/CLion/ExerciseBook/07.18-07.19/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.18-07.19 AMLGraph.h AMLGraph.c 07.18-07.19.c) +# 链接公共库 +target_link_libraries(07.18-07.19 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.18-07.19/TestData_UDG.txt b/CLion/ExerciseBook/07.18-07.19/TestData_UDG.txt new file mode 100644 index 0000000..65d0356 --- /dev/null +++ b/CLion/ExerciseBook/07.18-07.19/TestData_UDG.txt @@ -0,0 +1,6 @@ +图类型→2（无å‘图） +顶点数→6 +边数→13 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，X，B，C，D，E】 +边的集åˆâ†’ã€A，B】ã€A，C】ã€A，D】ã€B，C】ã€B，D】ã€B，E】ã€C，E】ã€C，X】ã€E，A】ã€E，D】ã€E，X】ã€X，A】ã€X，D】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.18-07.19/TestData_UDN.txt b/CLion/ExerciseBook/07.18-07.19/TestData_UDN.txt new file mode 100644 index 0000000..b5f1949 --- /dev/null +++ b/CLion/ExerciseBook/07.18-07.19/TestData_UDN.txt @@ -0,0 +1,6 @@ +图类型→3（无å‘网） +顶点数→6 +边数→13 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’1 +顶点集→ã€A，X，B，C，D，E】 +边的集åˆâ†’ã€A，B，3】ã€A，C，8】ã€A，D，11】ã€B，C，7】ã€B，D，4】ã€B，E，1】ã€C，E，17】ã€C，X，3】ã€E，A，6】ã€E，D，4】ã€E，X，2】ã€X，A，8】ã€X，D，10】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.20/07.20.c b/CLion/ExerciseBook/07.20/07.20.c new file mode 100644 index 0000000..4b3e0c0 --- /dev/null +++ b/CLion/ExerciseBook/07.20/07.20.c @@ -0,0 +1,78 @@ +#include +#include "Status.h" //**â–²01 绪论**// +#include "MGraph.h" //**â–²07 图**// + +/* + * 判断图G是å¦å¯ä¼ é€’ + */ +Status Algo_7_20(MGraph G); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("████████ 创建并输出图...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + Algo_7_20(G) ? printf("图Gå¯ä¼ é€’ï¼\n") : printf("图Gä¸å¯ä¼ é€’ï¼\n"); + printf("\n"); + + return 0; +} + + +/* + * 判断图G是å¦å¯ä¼ é€’ + */ +Status Algo_7_20(MGraph G) { + Status trans; + int x, y, z; + int flag; // ä¸è¿žé€šçš„标记 + + // 对于图，ä¸è¿žé€šæ ‡è®°æ˜¯0 + if(G.kind == DG || G.kind == UDG) { + flag = 0; + + // 对于网，ä¸è¿žé€šæ ‡è®°æ˜¯INFINITE + } else 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zagNlm9B-m5oRsI>j3mPG&?$cUzVtTUV5-*0a~x;q(V!^+FIXgB60TI0!Ruz9zK zgM$+@>Dj&nq&&N3o#%adAQ^Kv&K*brqW*}waj00!KuH@~)j$Z{lh1~K79C&v=ydN>%LPU3L{c9A)i_1V$ zYW}3Y^Vf;n);BqN_ZB2MMJ==+a8G)Qx1ZQsczTz3z(^+jNddNsccA4=0SXRY*K9Ij rksU}qhRq=gQlBPM{(&^~z62lt`_%1M|4$NVYlnNMsHspdXA$;)VE{u| literal 0 HcmV?d00001 diff --git a/CLion/ExerciseBook/07.20/CMakeLists.txt b/CLion/ExerciseBook/07.20/CMakeLists.txt new file mode 100644 index 0000000..131bd2b --- /dev/null +++ b/CLion/ExerciseBook/07.20/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.20 MGraph.h MGraph.c 07.20.c) +# 链接公共库 +target_link_libraries(07.20 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.20/MGraph.c b/CLion/ExerciseBook/07.20/MGraph.c new file mode 100644 index 0000000..6572aa6 --- /dev/null +++ b/CLion/ExerciseBook/07.20/MGraph.c @@ -0,0 +1,482 @@ +/*================================= + * 图的数组(邻接矩阵)存储表示 + * + * 包å«ç®—法: 7.1ã€7.2ã€7.4ã€7.5ã€7.6 + ==================================*/ + +#include "MGraph.h" //**â–²07 图**// + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * ████████ 算法7.1 ████████ + * + * 创建图/表 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + printf("请输入图的类型(0-有å‘图 │ 1-有å‘网 │ 2-æ— å‘图 │ 3-æ— å‘网)："); + scanf("%d", &kind); + + // 类型ä¸åˆè§„ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // 有å‘图æ¯æ¡è¾¹çš„åˆå§‹å€¼ + VertexType v1, v2; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入有å‘图的弧数："); + scanf("%d", &((*G).arcnum)); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // åˆå§‹åŒ–有å‘图的邻接矩阵 + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + j = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + // 将指定的顶点关系设置为1，指示这两个顶点是直接连接的(注：这里没有验è¯ä¸‹æ ‡æ˜¯å¦è¶Šç•Œ) + (*G).arcs[i][j].adj = 1; + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造有å‘网 + */ +static Status CreateDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // 有å‘网æ¯æ¡å¼§çš„åˆå§‹å€¼ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("请输入有å‘网的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入有å‘网的弧数："); + scanf("%d", &((*G).arcnum)); + printf("该有å‘网的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // åˆå§‹åŒ–有å‘网的邻接矩阵 + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为有å‘网ä¾æ¬¡å½•å…¥ %d æ¡å¼§(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + scanf("%d", &w); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + j = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + // 在指定的顶点关系上记录æƒå€¼(注：这里没有验è¯ä¸‹æ ‡æ˜¯å¦è¶Šç•Œ) + (*G).arcs[i][j].adj = w; + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造无å‘图 + */ +static Status CreateUDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // æ— å‘图æ¯æ¡è¾¹çš„åˆå§‹å€¼ + VertexType v1, v2; + + if(fp == NULL) { + printf("请输入无å‘图的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入无å‘图的边数："); + scanf("%d", &((*G).arcnum)); + printf("该无å‘图的边上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入边数 + ReadData(fp, "%d", &IncInfo); // 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // åˆå§‹åŒ–æ— å‘图的邻接矩阵 + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为无å‘图ä¾æ¬¡å½•å…¥ %d æ¡è¾¹çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + j = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + // 将指定的顶点关系设置为1，指示这两个顶点是直接连接的(注：这里没有验è¯ä¸‹æ ‡æ˜¯å¦è¶Šç•Œ) + (*G).arcs[i][j].adj = 1; + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &((*G).arcs[i][j].info)); + } + + // 填充对称点 + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * ████████ 算法7.2 ████████ + * + * 构造无å‘网 + */ +static Status CreateUDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // æ— å‘网æ¯æ¡è¾¹çš„åˆå§‹å€¼ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("请输入无å‘网的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入无å‘网的边数："); + scanf("%d", &((*G).arcnum)); + printf("该无å‘网的边上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入边数 + ReadData(fp, "%d", &IncInfo); // 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // åˆå§‹åŒ–æ— å‘网的邻接矩阵 + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为无å‘网ä¾æ¬¡å½•å…¥ %d æ¡è¾¹(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + scanf("%d", &w); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + j = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + // 在指定的顶点关系上记录æƒå€¼(注：这里没有验è¯ä¸‹æ ‡æ˜¯å¦è¶Šç•Œ) + (*G).arcs[i][j].adj = w; + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &((*G).arcs[i][j].info)); + } + + // 填充对称点 + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(MGraph G, InfoType** info) { + //录入边/弧的信æ¯ï¼Œæœ¬æµ‹è¯•æ¶‰åŠåˆ°çš„è¾¹/å¼§é»˜è®¤æ— å…¶ä»–é™„åŠ ä¿¡æ¯ +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在图/网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.20/MGraph.h b/CLion/ExerciseBook/07.20/MGraph.h new file mode 100644 index 0000000..7f469e1 --- /dev/null +++ b/CLion/ExerciseBook/07.20/MGraph.h @@ -0,0 +1,129 @@ +/*================================= + * 图的数组(邻接矩阵)存储表示 + * + * 包å«ç®—法: 7.1ã€7.2ã€7.4ã€7.5ã€7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // æä¾›å®INT_MAX +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + */ + +/* å®å®šä¹‰ */ +#define INFINITE INT_MAX // 最大值，用æ¥è¡¨ç¤ºç½‘中的两个顶点ä¸ç›´æŽ¥è¿žæŽ¥ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +/* + * 顶点关系类型 + * + * 在无æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸º0或1，表示两顶点是å¦ç›´æŽ¥è¿žé€šï¼› + * 在有æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸ºæƒå€¼ã€‚ + */ +typedef int VRType; + +// è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + // 如果有的è¯ï¼ŒåŽç»­ä¼šæ·»åŠ ç›¸åº”的属性 +} InfoType; + +// 边的类型，æ¯æ¡è¾¹ä¸Šå¯èƒ½æœ‰é™„加信æ¯info +typedef struct ArcCell { + VRType adj; // 顶点关系，在有æƒå›¾è·Ÿæ— æƒå›¾ä¸­çš„å«ä¹‰ä¸åŒ + InfoType* info; // 边的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcCell; + +/* 图/网的数组(邻接矩阵)存储表示类型定义 */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // 顶点å‘é‡ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // 邻接矩阵 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} MGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * ████████ 算法7.1 ████████ + * + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(MGraph* G); + +/* + * 构造有å‘网 + */ +static Status CreateDN(MGraph* G); + +/* + * 构造无å‘图 + */ +static Status CreateUDG(MGraph* G); + +/* + * ████████ 算法7.2 ████████ + * + * 构造无å‘网 + */ +static Status CreateUDN(MGraph* G); + +/* + * å½•å…¥è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(MGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(MGraph G, VertexType u); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在图/网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.20/TestData_DG.txt b/CLion/ExerciseBook/07.20/TestData_DG.txt new file mode 100644 index 0000000..7b8b53e --- /dev/null +++ b/CLion/ExerciseBook/07.20/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→5 +弧数→10 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E】 +弧的集åˆâ†’ã€A，B】ã€A，C】ã€A，D】ã€A，E】ã€B，A】ã€B，C】ã€B，D】ã€B，E】ã€C，D】ã€E，D】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.20/TestData_DN.txt b/CLion/ExerciseBook/07.20/TestData_DN.txt new file mode 100644 index 0000000..a76b093 --- /dev/null +++ b/CLion/ExerciseBook/07.20/TestData_DN.txt @@ -0,0 +1,6 @@ +图类型→1（有å‘网） +顶点数→5 +弧数→10 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E】 +弧的集åˆâ†’ã€A，B，5】ã€A，C，1】ã€A，D，2】ã€A，E，6】ã€B，A，5】ã€B，C，2】ã€B，D，8】ã€B，E，7】ã€C，D，2】ã€E，D，3】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.20/TestData_UDG.txt b/CLion/ExerciseBook/07.20/TestData_UDG.txt new file mode 100644 index 0000000..8eb3f2c --- /dev/null +++ b/CLion/ExerciseBook/07.20/TestData_UDG.txt @@ -0,0 +1,6 @@ +图类型→2（无å‘图） +顶点数→5 +边数→10 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E】 +边的集åˆâ†’ã€A，B】ã€A，C】ã€A，D】ã€A，E】ã€B，C】ã€B，D】ã€B，E】ã€C，D】ã€C，E】ã€D，E】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.20/TestData_UDN.txt b/CLion/ExerciseBook/07.20/TestData_UDN.txt new file mode 100644 index 0000000..7c9d355 --- /dev/null +++ b/CLion/ExerciseBook/07.20/TestData_UDN.txt @@ -0,0 +1,6 @@ +图类型→3（无å‘网） +顶点数→5 +边数→10 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E】 +边的集åˆâ†’ã€A，B，1】ã€A，C，3】ã€A，D，2】ã€A，E，1】ã€B，C，5】ã€B，D，3】ã€B，E，6】ã€C，D，8】ã€C，E，4】ã€D，E，7】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.21/07.21.c b/CLion/ExerciseBook/07.21/07.21.c new file mode 100644 index 0000000..83ad791 --- /dev/null +++ b/CLion/ExerciseBook/07.21/07.21.c @@ -0,0 +1,75 @@ +#include +#include "Status.h" //**â–²01 绪论**// +#include "ALGraph.h" //**â–²07 图**// + +/* + * 判断图G是å¦å¯ä¼ é€’ + */ +Status Algo_7_21(ALGraph G); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("████████ 创建并输出图...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + Algo_7_21(G) ? printf("图Gå¯ä¼ é€’ï¼\n") : printf("图Gä¸å¯ä¼ é€’ï¼\n"); + printf("\n"); + + return 0; +} + + +/* + * 判断图G是å¦å¯ä¼ é€’ + */ +Status Algo_7_21(ALGraph G) { + Status trans; + int x, y, z; + ArcNode* py, * pz, * px; + + // 预设为å¯ä¼ é€’ + trans = TRUE; + + // 对于V中æ¯ä¸ªx + for(x = 0; x < G.vexnum; x++) { + // N(x)中æ¯ä¸ªy + for(py = G.vertices[x].firstarc; py != NULL; py = py->nextarc) { + y = py->adjvex; + + for(pz = G.vertices[y].firstarc; pz != NULL; pz = pz->nextarc) { + z = pz->adjvex; + + // 排除与x相等的z + if(z != x) { + for(px = G.vertices[x].firstarc; px != NULL; px = px->nextarc) { + if(px->adjvex == z) { + break; // 找到zåŽåŠæ—¶è·³å‡º + } + } + + // 如果zä¸åœ¨N(x)中 + if(px == NULL) { + trans = FALSE; + return trans; + } + } + + } + } + } + + return trans; +} diff --git a/CLion/ExerciseBook/07.21/07.21.png b/CLion/ExerciseBook/07.21/07.21.png new file mode 100644 index 0000000000000000000000000000000000000000..29a4418760cc5fd0d0e3904258af3a0fd49246d9 GIT binary patch literal 16161 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如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + printf("请输入图的类型(0-有å‘图 │ 1-有å‘网 │ 2-æ— å‘图 │ 3-æ— å‘网)："); + scanf("%d", &kind); + + // 类型ä¸åˆè§„ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘图的弧数："); + scanf("%d", &arcnum); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造有å‘网 + */ +static Status CreateDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘网的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘网的弧数："); + scanf("%d", &arcnum); + printf("该有å‘网的弧上必须包å«å…¶ä»–附加信æ¯ï¼Œå› ä¸ºæ­¤å¤„çš„æƒå€¼éœ€è¦å­˜å‚¨åˆ°é™„加信æ¯ä¸­...\n"); + IncInfo = 1; + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo);// 判断弧上是å¦åŒ…å«é™„加信æ¯(此处应当包å«) + IncInfo = 1; // 强制将æƒå€¼å½•å…¥åˆ°é™„加信æ¯ä¸­ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘网ä¾æ¬¡å½•å…¥ %d æ¡å¼§(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„加信æ¯(此处需è¦å½•å…¥ç½‘çš„æƒå€¼) + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造无å‘图 + */ +static Status CreateUDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入无å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入无å‘图的边数："); + scanf("%d", &arcnum); + printf("该无å‘图的边上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入边数 + ReadData(fp, "%d", &IncInfo);// 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为无å‘图ä¾æ¬¡å½•å…¥ %d æ¡è¾¹çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + + } + + // æ’入边 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造无å‘网 + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入无å‘网的顶点数："); + scanf("%d", &vexnum); + printf("请输入无å‘网的边数："); + scanf("%d", &arcnum); + printf("该无å‘网的边上必须包å«å…¶ä»–附加信æ¯ï¼Œå› ä¸ºæ­¤å¤„çš„æƒå€¼éœ€è¦å­˜å‚¨åˆ°é™„加信æ¯ä¸­...\n"); + IncInfo = 1; + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入边数 + ReadData(fp, "%d", &IncInfo);// 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + IncInfo = 1; // 强制将æƒå€¼å½•å…¥åˆ°é™„加信æ¯ä¸­ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为无å‘网ä¾æ¬¡å½•å…¥ %d æ¡è¾¹(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„加信æ¯(此处需è¦å½•å…¥ç½‘çš„æƒå€¼) + Input(*G, &info); + } + + // æ’入边 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.21/ALGraph.h b/CLion/ExerciseBook/07.21/ALGraph.h new file mode 100644 index 0000000..0796902 --- /dev/null +++ b/CLion/ExerciseBook/07.21/ALGraph.h @@ -0,0 +1,143 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G); + +/* + * 构造有å‘网 + */ +static Status CreateDN(ALGraph* G); + +/* + * 构造无å‘图 + */ +static Status CreateUDG(ALGraph* G); + +/* + * 构造无å‘网 + */ +static Status CreateUDN(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.21/CMakeLists.txt b/CLion/ExerciseBook/07.21/CMakeLists.txt new file mode 100644 index 0000000..a1f421a --- /dev/null +++ b/CLion/ExerciseBook/07.21/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.21 ALGraph.h ALGraph.c 07.21.c) +# 链接公共库 +target_link_libraries(07.21 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.21/TestData_DG.txt b/CLion/ExerciseBook/07.21/TestData_DG.txt new file mode 100644 index 0000000..7b8b53e --- /dev/null +++ b/CLion/ExerciseBook/07.21/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→5 +弧数→10 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E】 +弧的集åˆâ†’ã€A，B】ã€A，C】ã€A，D】ã€A，E】ã€B，A】ã€B，C】ã€B，D】ã€B，E】ã€C，D】ã€E，D】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.21/TestData_DN.txt b/CLion/ExerciseBook/07.21/TestData_DN.txt new file mode 100644 index 0000000..f064b55 --- /dev/null +++ b/CLion/ExerciseBook/07.21/TestData_DN.txt @@ -0,0 +1,6 @@ +图类型→1（有å‘网） +顶点数→5 +弧数→10 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’1 +顶点集→ã€A，B，C，D，E】 +弧的集åˆâ†’ã€A，B，5】ã€A，C，1】ã€A，D，2】ã€A，E，6】ã€B，A，5】ã€B，C，2】ã€B，D，8】ã€B，E，7】ã€C，D，2】ã€E，D，3】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.21/TestData_UDG.txt b/CLion/ExerciseBook/07.21/TestData_UDG.txt new file mode 100644 index 0000000..8eb3f2c --- /dev/null +++ b/CLion/ExerciseBook/07.21/TestData_UDG.txt @@ -0,0 +1,6 @@ +图类型→2（无å‘图） +顶点数→5 +边数→10 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E】 +边的集åˆâ†’ã€A，B】ã€A，C】ã€A，D】ã€A，E】ã€B，C】ã€B，D】ã€B，E】ã€C，D】ã€C，E】ã€D，E】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.21/TestData_UDN.txt b/CLion/ExerciseBook/07.21/TestData_UDN.txt new file mode 100644 index 0000000..f68d702 --- /dev/null +++ b/CLion/ExerciseBook/07.21/TestData_UDN.txt @@ -0,0 +1,6 @@ +图类型→3（无å‘网） +顶点数→5 +边数→10 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’1 +顶点集→ã€A，B，C，D，E】 +边的集åˆâ†’ã€A，B，1】ã€A，C，3】ã€A，D，2】ã€A，E，1】ã€B，C，5】ã€B，D，3】ã€B，E，6】ã€C，D，8】ã€C，E，4】ã€D，E，7】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.22-07.23/07.22-07.23.c b/CLion/ExerciseBook/07.22-07.23/07.22-07.23.c new file mode 100644 index 0000000..b791193 --- /dev/null +++ b/CLion/ExerciseBook/07.22-07.23/07.22-07.23.c @@ -0,0 +1,213 @@ +#include +#include "Status.h" //**â–²01 绪论**// +#include "ALGraph.h" //**â–²07 图**// + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * 通过深度优先é历，输出顶点vi到vj之间的路径 + */ +void Algo_7_22(ALGraph G, VertexType vi, VertexType vj); + +/* + * 深度优先é历图G，查找顶点i到顶点j之间的路径存入path + */ +static Status DFS_7_22(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]); + +/* + * 通过广度优先é历，输出顶点vi到vj之间的路径 + */ +void Algo_7_23(ALGraph G, VertexType vi, VertexType vj); + +/* + * 广度优先é历图G，查找顶点i到顶点j之间的路径存入path + */ +static Status BFS_7_23(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("████████ 创建并输出图...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 题7.22：通过深度优先é历判断两顶点间是å¦å­˜åœ¨è·¯å¾„...\n"); + { + VertexType vi = 'A'; + VertexType vj = 'F'; + + Algo_7_22(G, vi, vj); + printf("\n"); + } + + printf("████████ 题7.23：通过广度优先é历判断两顶点间是å¦å­˜åœ¨è·¯å¾„...\n"); + { + VertexType vi = 'A'; + VertexType vj = 'F'; + + Algo_7_23(G, vi, vj); + printf("\n"); + } + + return 0; +} + + +/* + * 通过深度优先é历，判断顶点vi到vj之间是å¦å­˜åœ¨è·¯å¾„ + */ +void Algo_7_22(ALGraph G, VertexType vi, VertexType vj) { + int i, j, k; + int path[MAX_VERTEX_NUM + 1]; + + for(k = 0; k < G.vexnum; k++) { + visited[k] = FALSE; + } + + i = LocateVex(G, vi); + j = LocateVex(G, vj); + + path[0] = 0; + + if(DFS_7_22(G, i, j, path) == ERROR) { + printf("%c 到 %c 之间ä¸å­˜åœ¨é€šè·¯ï¼\n", vi, vj); + return; + } + + printf("%c 到 %c 之间的通路为：", vi, vj); + for(k = 1; k <= path[0]; k++) { + printf("%c ", GetVex(G, path[k])); + } + printf("\n"); +} + +/* + * 深度优先é历图G，查找顶点i到顶点j之间的路径存入path + */ +static Status DFS_7_22(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]) { + int w; + + // 将顶点i加入路径 + visited[i] = TRUE; + path[0]++; + path[path[0]] = i; + + if(i == j) { + return OK; + } + + // é历vi所有邻接点 + for(w = FirstAdjVex(G, GetVex(G, i)); w >= 0; w = NextAdjVex(G, GetVex(G, i), GetVex(G, w))) { + // 跳过已访问的顶点 + if(visited[w]) { + continue; + } + + // 递归(深度优先) + if(DFS_7_22(G, w, j, path) == OK) { + return OK; + } + } + + // 移除顶点i + visited[i] = FALSE; + path[0]--; + + return ERROR; +} + +/* + * 通过广度优先é历，判断顶点vi到vj之间是å¦å­˜åœ¨è·¯å¾„ + */ +void Algo_7_23(ALGraph G, VertexType vi, VertexType vj) { + int i, j, k; + int path[MAX_VERTEX_NUM + 1]; + + for(k = 0; k < G.vexnum; k++) { + visited[k] = FALSE; + } + + i = LocateVex(G, vi); + j = LocateVex(G, vj); + + path[0] = 0; + + if(BFS_7_23(G, i, j, path) == ERROR) { + printf("%c 到 %c 之间ä¸å­˜åœ¨é€šè·¯ï¼\n", vi, vj); + return; + } + + printf("%c 到 %c 之间的通路为：", vi, vj); + for(k = 1; k <= path[0]; k++) { + printf("%c ", GetVex(G, path[k])); + } + printf("\n"); +} + +/* + * 广度优先é历图G，查找顶点i到顶点j之间的路径存入path + */ +static Status BFS_7_23(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]) { + int w; + LinkQueue Q; + QElemType e; + + // 将顶点i加入路径 + visited[i] = TRUE; + path[0]++; + path[path[0]] = i; + + if(i == j) { + return OK; + } + + // 置空辅助队列 + InitQueue(&Q); + + // é历vi所有邻接点 + for(w = FirstAdjVex(G, GetVex(G, i)); w >= 0; w = NextAdjVex(G, GetVex(G, i), GetVex(G, w))) { + // 跳过已访问的顶点 + if(visited[w]) { + continue; + } + + if(w == j) { + // 将顶点w加入路径 + visited[w] = TRUE; + path[0]++; + path[path[0]] = w; + return OK; + } + + EnQueue(&Q, w); + } + + // 从邻接点出å‘，继续寻找目标路径 + while(!QueueEmpty(Q)) { + DeQueue(&Q, &e); + + // 递归(广度优先) + if(BFS_7_23(G, e, j, path) == OK) { + return OK; + } + } + + // 移除顶点i + visited[i] = FALSE; + path[0]--; + + return ERROR; +} 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IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + // ★★★此处固定为有å‘图 + kind = 0; + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘图的弧数："); + scanf("%d", &arcnum); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(ALGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // 指定的顶点ä¸å­˜åœ¨ + } + + return G.vertices[v].data; +} + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(ALGraph G, VertexType v) { + int k; + ArcNode* r; + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(G, v); + if(k == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + r = G.vertices[k].firstarc; + if(r == NULL) { + return -1; + } else { + return r->adjvex; + } +} + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w) { + int kv, kw; + ArcNode* r; + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + r = G.vertices[kv].firstarc; + if(r == NULL) { + return -1; // 链表为空 + } + + // 在链表中查找w + while(r != NULL && r->adjvex < kw) { + r = r->nextarc; + } + + // 如果没找到w + if(r == NULL) { + return -1; + } + + // 如果找到了w，但是wåŽé¢æ²¡æœ‰åˆ«çš„顶点，那么也无法返回邻接点 + if(r->adjvex == kw && r->nextarc != NULL) { + return r->nextarc->adjvex; + } + + return -1; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.22-07.23/ALGraph.h b/CLion/ExerciseBook/07.22-07.23/ALGraph.h new file mode 100644 index 0000000..74e2809 --- /dev/null +++ b/CLion/ExerciseBook/07.22-07.23/ALGraph.h @@ -0,0 +1,150 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// +#include "LinkQueue.h" //**â–²03 栈和队列**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(ALGraph G, int v); + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(ALGraph G, VertexType v); + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.22-07.23/CMakeLists.txt b/CLion/ExerciseBook/07.22-07.23/CMakeLists.txt new file mode 100644 index 0000000..6342a55 --- /dev/null +++ b/CLion/ExerciseBook/07.22-07.23/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.22-07.23 LinkQueue.h LinkQueue.c ALGraph.h ALGraph.c 07.22-07.23.c) +# 链接公共库 +target_link_libraries(07.22-07.23 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.22-07.23/LinkQueue.c b/CLion/ExerciseBook/07.22-07.23/LinkQueue.c new file mode 100644 index 0000000..745613f --- /dev/null +++ b/CLion/ExerciseBook/07.22-07.23/LinkQueue.c @@ -0,0 +1,102 @@ +/*========================= + * 队列的链å¼å­˜å‚¨ç»“构（链队） + ==========================*/ + +#ifndef LINKQUEUE_C +#define LINKQUEUE_C + +#include "LinkQueue.h" //**â–²03 栈和队列**// + +/* + * åˆå§‹åŒ– + * + * 构造一个空的链队。 + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€æ³¨ã€‘ + * 这里的队列带有头结点 + */ +Status InitQueue(LinkQueue* Q) { + if(Q == NULL) { + return ERROR; + } + + (*Q).front = (*Q).rear = (QueuePtr) malloc(sizeof(QNode)); + if(!(*Q).front) { + exit(OVERFLOW); + } + + (*Q).front->next = NULL; + + return OK; +} + +/* + * 判空 + * + * 判断链队中是å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 链队为空 + * FALSE: 链队ä¸ä¸ºç©º + */ +Status QueueEmpty(LinkQueue Q) { + if(Q.front == Q.rear) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * 入队 + * + * 将元素e添加到队列尾部。 + */ +Status EnQueue(LinkQueue* Q, QElemType e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL) { + return ERROR; + } + + p = (QueuePtr) malloc(sizeof(QNode)); + if(!p) { + exit(OVERFLOW); + } + + p->data = e; + p->next = NULL; + + (*Q).rear->next = p; + (*Q).rear = p; + + return OK; +} + +/* + * 出队 + * + * 移除队列头部的元素，将其存储到e中。 + */ +Status DeQueue(LinkQueue* Q, QElemType* e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL || (*Q).front == (*Q).rear) { + return ERROR; + } + + p = (*Q).front->next; + *e = p->data; + + (*Q).front->next = p->next; + if((*Q).rear == p) { + (*Q).rear = (*Q).front; + } + + free(p); + + return OK; +} + +#endif diff --git a/CLion/ExerciseBook/07.22-07.23/LinkQueue.h b/CLion/ExerciseBook/07.22-07.23/LinkQueue.h new file mode 100644 index 0000000..ec9c0e1 --- /dev/null +++ b/CLion/ExerciseBook/07.22-07.23/LinkQueue.h @@ -0,0 +1,64 @@ +/*========================= + * 队列的链å¼å­˜å‚¨ç»“构（链队） + ==========================*/ + +#ifndef LINKQUEUE_H +#define LINKQUEUE_H + +#include +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* 链队元素类型定义 */ +typedef int QElemType; + +// 队列元素结构 +typedef struct QNode { + QElemType data; + struct QNode* next; +} QNode, * QueuePtr; + +// 队列结构 +typedef struct { + QueuePtr front; // 队头指针 + QueuePtr rear; // 队尾指针 +} LinkQueue; // 队列的链å¼å­˜å‚¨è¡¨ç¤º + + +/* + * åˆå§‹åŒ– + * + * 构造一个空的链队。 + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€æ³¨ã€‘ + * 这里的队列带有头结点 + */ +Status InitQueue(LinkQueue* Q); + +/* + * 判空 + * + * 判断链队中是å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 链队为空 + * FALSE: 链队ä¸ä¸ºç©º + */ +Status QueueEmpty(LinkQueue Q); + +/* + * 入队 + * + * 将元素e添加到队列尾部。 + */ +Status EnQueue(LinkQueue* Q, QElemType e); + +/* + * 出队 + * + * 移除队列头部的元素，将其存储到e中。 + */ +Status DeQueue(LinkQueue* Q, QElemType* e); + +#endif diff --git a/CLion/ExerciseBook/07.22-07.23/TestData_DG.txt b/CLion/ExerciseBook/07.22-07.23/TestData_DG.txt new file mode 100644 index 0000000..697827d --- /dev/null +++ b/CLion/ExerciseBook/07.22-07.23/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→6 +弧数→11 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F】 +弧的集åˆâ†’ã€A，C】ã€A，D】ã€B，D】ã€C，D】ã€C，E】ã€D，C】ã€E，A】ã€E，B】ã€E，F】ã€F，B】ã€F，D】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.24/07.24.c b/CLion/ExerciseBook/07.24/07.24.c new file mode 100644 index 0000000..7fc71c5 --- /dev/null +++ b/CLion/ExerciseBook/07.24/07.24.c @@ -0,0 +1,91 @@ +#include +#include "Status.h" //**â–²01 绪论**// +#include "SqStack.h" //**â–²03 栈和队列**// +#include "MGraph.h" //**â–²07 图**// + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * 利用栈对有å‘强连通图进行深度优先é历， + * 习题中指出ä¸æ‹˜æ³¥äºŽå…·ä½“的图结构，但是这里ä¾æ—§é‡‡ç”¨äº†é‚»æŽ¥çŸ©é˜µå­˜å‚¨çš„图作为示例。 + */ +Status Algo_7_24(MGraph G); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("████████ 创建并输出图...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 深度优先é历图...\n"); + { + Algo_7_24(G); + printf("\n"); + } + + return 0; +} + + +/* + * 利用栈对有å‘强连通图进行深度优先é历， + * 习题中指出ä¸æ‹˜æ³¥äºŽå…·ä½“的图结构，但是这里ä¾æ—§é‡‡ç”¨äº†é‚»æŽ¥çŸ©é˜µå­˜å‚¨çš„图作为示例。 + */ +Status Algo_7_24(MGraph G) { + SqStack S; + SElemType e; + int i; + + if(G.vexnum < 1) { + return ERROR; + } + + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + InitStack(&S); + + // 第一个顶点入栈 + Push(&S, 0); + visited[0] = TRUE; + printf("%c ", G.vexs[0]); + + while(!StackEmpty(S)) { + GetTop(S, &e); + + for(i = 0; i < G.vexnum; i++) { + if(G.arcs[e][i].adj!=0 && visited[i]==FALSE) { + Push(&S, i); + visited[i] = TRUE; + printf("%c ", G.vexs[i]); + + // 立刻跳出当å‰å¾ªçŽ¯ï¼Œè¿›è¡Œä¸‹ä¸€è½®æ·±åº¦æœå¯» + 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zstc9djH|A9-xAt)mKLnbrHMoQopS2t=o`lxQBOLyk*(i08Y=$dj1s4}vos2&p-d76 zkQZE$@~~=CAnZCZJ8;d9Woayv46ls1+SfkM#gSn6Cdv^f^Tm7TSF!eYeE@$X#JQd@ zGdwi;8KY#{P!EtZ%l!GV;OV2?cVBW-?=9Rs2&`;EuHNm!mJ@%=5MgU{`v6}AL6%!t z-EBxDTB)V0D+w=Wr2xr-UVT1inEIsOs9rF7s->zJ(GuJJ!Y;^~pY^VK^DOhZNMw!I zEs2kw`U57L76G8;0Con+4P=5`_6`2BUias1^$^V!wCnj%Sr_dw`J=NrRc{gH4~4MG z5YTrXR4=fsc+V^hc-Co=l)OC|ITZOK_qscx~lq?oE^!on* D-4|Tz literal 0 HcmV?d00001 diff --git a/CLion/ExerciseBook/07.24/CMakeLists.txt b/CLion/ExerciseBook/07.24/CMakeLists.txt new file mode 100644 index 0000000..1d9429a --- /dev/null +++ b/CLion/ExerciseBook/07.24/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.24 SqStack.h SqStack.c MGraph.h MGraph.c 07.24.c) +# 链接公共库 +target_link_libraries(07.24 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.24/MGraph.c b/CLion/ExerciseBook/07.24/MGraph.c new file mode 100644 index 0000000..18fca40 --- /dev/null +++ b/CLion/ExerciseBook/07.24/MGraph.c @@ -0,0 +1,219 @@ +/*================================= + * 图的数组(邻接矩阵)存储表示 + * + * 包å«ç®—法: 7.1ã€7.2ã€7.4ã€7.5ã€7.6 + ==================================*/ + +#include "MGraph.h" //**â–²07 图**// + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * ████████ 算法7.1 ████████ + * + * 创建图/表 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + // ★★★此处固定为有å‘图 + kind = 0; + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // 有å‘图æ¯æ¡è¾¹çš„åˆå§‹å€¼ + VertexType v1, v2; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入有å‘图的弧数："); + scanf("%d", &((*G).arcnum)); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // åˆå§‹åŒ–有å‘图的邻接矩阵 + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + j = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + // 将指定的顶点关系设置为1，指示这两个顶点是直接连接的(注：这里没有验è¯ä¸‹æ ‡æ˜¯å¦è¶Šç•Œ) + (*G).arcs[i][j].adj = 1; + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(MGraph G, InfoType** info) { + //录入边/弧的信æ¯ï¼Œæœ¬æµ‹è¯•æ¶‰åŠåˆ°çš„è¾¹/å¼§é»˜è®¤æ— å…¶ä»–é™„åŠ ä¿¡æ¯ +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在图/网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.24/MGraph.h b/CLion/ExerciseBook/07.24/MGraph.h new file mode 100644 index 0000000..8d5fa76 --- /dev/null +++ b/CLion/ExerciseBook/07.24/MGraph.h @@ -0,0 +1,112 @@ +/*================================= + * 图的数组(邻接矩阵)存储表示 + * + * 包å«ç®—法: 7.1ã€7.2ã€7.4ã€7.5ã€7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // æä¾›å®INT_MAX +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + */ + +/* å®å®šä¹‰ */ +#define INFINITE INT_MAX // 最大值，用æ¥è¡¨ç¤ºç½‘中的两个顶点ä¸ç›´æŽ¥è¿žæŽ¥ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +/* + * 顶点关系类型 + * + * 在无æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸º0或1，表示两顶点是å¦ç›´æŽ¥è¿žé€šï¼› + * 在有æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸ºæƒå€¼ã€‚ + */ +typedef int VRType; + +// è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + // 如果有的è¯ï¼ŒåŽç»­ä¼šæ·»åŠ ç›¸åº”的属性 +} InfoType; + +// 边的类型，æ¯æ¡è¾¹ä¸Šå¯èƒ½æœ‰é™„加信æ¯info +typedef struct ArcCell { + VRType adj; // 顶点关系，在有æƒå›¾è·Ÿæ— æƒå›¾ä¸­çš„å«ä¹‰ä¸åŒ + InfoType* info; // 边的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcCell; + +/* 图/网的数组(邻接矩阵)存储表示类型定义 */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // 顶点å‘é‡ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // 邻接矩阵 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} MGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * ████████ 算法7.1 ████████ + * + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(MGraph* G); + +/* + * å½•å…¥è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(MGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(MGraph G, VertexType u); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在图/网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.24/SqStack.c b/CLion/ExerciseBook/07.24/SqStack.c new file mode 100644 index 0000000..c7e31cc --- /dev/null +++ b/CLion/ExerciseBook/07.24/SqStack.c @@ -0,0 +1,106 @@ +/*========================= + * 栈的顺åºå­˜å‚¨ç»“构（顺åºæ ˆï¼‰ + ==========================*/ + +#include "SqStack.h" //**â–²03 栈和队列**// + +/* + * åˆå§‹åŒ– + * + * 构造一个空栈。åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * 判空 + * + * 判断顺åºæ ˆä¸­æ˜¯å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 顺åºæ ˆä¸ºç©º + * FALSE: 顺åºæ ˆä¸ä¸ºç©º + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * å–值 + * + * 返回栈顶元素，并用e接收。 + */ +Status GetTop(SqStack S, SElemType* e) { + if(S.base == NULL || S.top == S.base) { + return 0; + } + + // ä¸ä¼šæ”¹å˜æ ˆä¸­å…ƒç´  + *e = *(S.top - 1); + + return OK; +} + +/* + * 入栈 + * + * 将元素e压入到栈顶。 + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // 栈满时，追加存储空间 + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // 存储分é…失败 + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // 进栈先赋值，栈顶指针å†è‡ªå¢ž + *(S->top++) = e; + + return OK; +} + +/* + * 出栈 + * + * 将栈顶元素弹出，并用e接收。 + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // 出栈栈顶指针先递å‡ï¼Œå†èµ‹å€¼ + *e = *(--(*S).top); + + return OK; +} diff --git a/CLion/ExerciseBook/07.24/SqStack.h b/CLion/ExerciseBook/07.24/SqStack.h new file mode 100644 index 0000000..f936b91 --- /dev/null +++ b/CLion/ExerciseBook/07.24/SqStack.h @@ -0,0 +1,66 @@ +/*========================= + * 栈的顺åºå­˜å‚¨ç»“构（顺åºæ ˆï¼‰ + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* å®å®šä¹‰ */ +#define STACK_INIT_SIZE 100 // 顺åºæ ˆå­˜å‚¨ç©ºé—´çš„åˆå§‹åˆ†é…é‡ +#define STACKINCREMENT 10 // 顺åºæ ˆå­˜å‚¨ç©ºé—´çš„分é…å¢žé‡ + +/* 顺åºæ ˆå…ƒç´ ç±»åž‹å®šä¹‰ */ +typedef int SElemType; + +// 顺åºæ ˆå…ƒç´ ç»“æž„ +typedef struct { + SElemType* base; // 栈底指针 + SElemType* top; // 栈顶指针 + int stacksize; // 当å‰å·²åˆ†é…的存储空间，以元素为å•ä½ +} SqStack; + + +/* + * åˆå§‹åŒ– + * + * 构造一个空栈。åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitStack(SqStack* S); + +/* + * 判空 + * + * 判断顺åºæ ˆä¸­æ˜¯å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 顺åºæ ˆä¸ºç©º + * FALSE: 顺åºæ ˆä¸ä¸ºç©º + */ +Status StackEmpty(SqStack S); + +/* + * å–值 + * + * 返回栈顶元素，并用e接收。 + */ +Status GetTop(SqStack S, SElemType* e); + +/* + * 入栈 + * + * 将元素e压入到栈顶。 + */ +Status Push(SqStack* S, SElemType e); + +/* + * 出栈 + * + * 将栈顶元素弹出，并用e接收。 + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/CLion/ExerciseBook/07.24/TestData_DG.txt b/CLion/ExerciseBook/07.24/TestData_DG.txt new file mode 100644 index 0000000..248d266 --- /dev/null +++ b/CLion/ExerciseBook/07.24/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→10 +弧数→14 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I，J】 +弧的集åˆâ†’ã€A，C】ã€C，D】ã€D，A】ã€A，B】ã€D，E】ã€E，F】ã€E，H】ã€F，D】ã€F，G】ã€G，H】ã€H，E】ã€B，J】ã€J，I】ã€I，B】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.25/07.25.c b/CLion/ExerciseBook/07.25/07.25.c new file mode 100644 index 0000000..d2e817a --- /dev/null +++ b/CLion/ExerciseBook/07.25/07.25.c @@ -0,0 +1,134 @@ +#include +#include "Graph.h" + +// 访问标志 +typedef enum { + UnVisited, // 未访问 + Visited, // 已访问 + InPath, // 在路径上 +} FLAG; + +// 访问标志数组，记录访问过的顶点 +static FLAG flags[MAX_VERTEX_NUM]; + + +/* + * 找出有å‘图中的回路 + */ +void Algo_7_25(Graph G); + +/* + * 从start顶点开始查找回路。 + * + * path用æ¥å­˜å‚¨è·¯è¿‡çš„顶点，path[0]存储path中的顶点数é‡ã€‚ + * + * 如果找到回路，返回回路起始顶点的åºå·ï¼› + * 如果没找到回路，则返回-1。 + */ +int Circuit_7_25(Graph G, int start, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + Graph G; + + printf("████████ 创建并输出图...\n"); + { + char* path = "TestData_DG.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 查找图中的回路...\n"); + { + Algo_7_25(G); + printf("\n"); + } + + return 0; +} + + +/* + * 找出有å‘图中的回路 + */ +void Algo_7_25(Graph G) { + int i, w = -1; + int path[MAX_VERTEX_NUM + 1]; // 0å·å•å…ƒç”¨æ¥è®°å½•pathä¸­å­˜å‚¨çš„é¡¶ç‚¹æ•°é‡ + + // 把所有顶点标记为未访问 + for(i = 0; i < G.vexnum; i++) { + flags[i] = UnVisited; + } + + path[0] = 0; + + for(i = 0; i < G.vexnum; i++) { + w = Circuit_7_25(G, i, path); + + if(w != -1) { + break; // 如果找到了任æ„一æ¡å›žè·¯ï¼Œè·³å‡ºå¾ªçŽ¯ + } + } + + if(w == -1) { + printf("给定的有å‘图中ä¸å­˜åœ¨å›žè·¯ï¼\n"); + return; + } + + printf("有å‘图中找到的首æ¡å›žè·¯ä¸ºï¼š"); + for(i = 1; path[i] != w; i++) { + // 寻找回路起点 + } + // 找到了回路起点 + if(path[i] == w) { + while(i <= path[0]) { + printf("%c -> ", G.vexs[path[i]]); + i++; + } + printf("%c\n", G.vexs[w]); + } +} + +/* + * 从start顶点开始查找回路。 + * + * path用æ¥å­˜å‚¨è·¯è¿‡çš„顶点，path[0]存储path中的顶点数é‡ã€‚ + * + * 如果找到回路，返回回路起始顶点的åºå·ï¼› + * 如果没找到回路，则返回-1。 + */ +int Circuit_7_25(Graph G, int start, int path[MAX_VERTEX_NUM]) { + int i; + int v, w; + + path[0]++; + path[path[0]] = start; + flags[start] = InPath; // 标记该顶点已进入路径 + + // é历顶点start的邻接点 + for(i = G.fst[start]; i <= G.lst[start]; i++) { + v = G.s[i]; // 获å–邻接点åºå· + + // 如果é‡åˆ°äº†å·²åœ¨è·¯å¾„中的邻接点，说明出现了回路 + if(flags[v] == InPath) { + return v; + + // 忽略已访问的邻接点 + } else if(flags[v] 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将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.25/Graph.c b/CLion/ExerciseBook/07.25/Graph.c new file mode 100644 index 0000000..4b727c6 --- /dev/null +++ b/CLion/ExerciseBook/07.25/Graph.c @@ -0,0 +1,164 @@ +/*================================= + * 由题7.25çš„æ述创建的一ç§æœ‰å‘图结构 + ==================================*/ + +#include "Graph.h" + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + + +/* + * 创建有å‘图 + * + * path为NULL或为""时，从控制å°è¯»å–图的åˆå§‹åŒ–ä¿¡æ¯ã€‚ + * å¦åˆ™ï¼Œä»Žé¢„设的文件中读å–图的åˆå§‹åŒ–ä¿¡æ¯ã€‚ + */ +Status CreateGraph(Graph* G, char* path) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = path == NULL || strcmp(path, "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(!readFromConsole) { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path, "r"); + if(fp == NULL) { + return ERROR; + } + } + + Create(G); + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return OK; +} + +/* + * 创建有å‘图的核心算法 + */ +static void Create(Graph* G) { + int i, j, k; + VertexType v1, v2; + Boolean adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM] = {FALSE}; // è®°å½•é‚»æŽ¥ç‚¹ä¿¡æ¯ + int cur; + + // 从控制å°è¯»å– + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入有å‘图的弧数："); + scanf("%d", &((*G).arcnum)); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + + // ä»Žæ–‡ä»¶è¯»å– + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入弧数 + + // 录入顶点集 + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + j = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + adjs[i][j] = TRUE; + } + + cur = 0; + + // è®°å½•é‚»æŽ¥ç‚¹ä¿¡æ¯ + for(i = 0; i < G->vexnum; i++) { + G->fst[i] = -1; + G->lst[i] = -2; + + for(j = 0; j < G->vexnum; j++) { + if(adjs[i][j] == TRUE) { + if(G->fst[i] == -1) { + G->fst[i] = cur; + } + + G->s[cur++] = j; // 存储åŽç»§é¡¶ç‚¹ä¿¡æ¯ + } + } + + if(G->fst[i] != -1) { + G->lst[i] = cur - 1; + } + } +} + +/* + * 查找 + * + * 返回顶点u在有å‘图中的ä½ç½® + */ +int LocateVex(Graph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * 打å°æœ‰å‘图结构 + */ +void PrintGraph(Graph G) { + int i, j; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰æœ‰å‘å›¾åŒ…å« %2d 个顶点， %2d æ¡å¼§...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c -> ", G.vexs[i]); + for(j = G.fst[i]; j <= G.lst[i]; j++) { + printf("%c ", G.vexs[G.s[j]]); + } + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.25/Graph.h b/CLion/ExerciseBook/07.25/Graph.h new file mode 100644 index 0000000..b0f474b --- /dev/null +++ b/CLion/ExerciseBook/07.25/Graph.h @@ -0,0 +1,53 @@ +/*================================= + * 由题7.25çš„æ述创建的一ç§æœ‰å‘图结构 + ==================================*/ + +#ifndef GRAPH_H +#define GRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include "Status.h" //**â–²01 绪论**// + +#define MAX_VERTEX_NUM 26 // 顶点个数最大值 +#define MAX_ADJ_NUM 650 // 所有顶点的邻接点数é‡å’Œæœ€å¤§å€¼ + +// 顶点类型 +typedef char VertexType; + +// 有å‘图类型定义 +typedef struct Graph { + VertexType vexs[MAX_VERTEX_NUM]; // 顶点å‘é‡ + int s[MAX_ADJ_NUM]; // å„顶点的邻接点 + int fst[MAX_VERTEX_NUM]; // fst[v] -> 顶点v的邻接点在s中的起始下标 + int lst[MAX_VERTEX_NUM]; // lst[v] -> 顶点v的邻接点在s中的终止下标 + int vexnum, arcnum; // 有å‘图的顶点数和弧数 +} Graph; + + +/* + * 创建有å‘图 + * + * path为NULL或为""时，从控制å°è¯»å–图的åˆå§‹åŒ–ä¿¡æ¯ã€‚ + * å¦åˆ™ï¼Œä»Žé¢„设的文件中读å–图的åˆå§‹åŒ–ä¿¡æ¯ã€‚ + */ +Status CreateGraph(Graph* G, char* path); + +/* + * 创建有å‘图的核心算法 + */ +static void Create(Graph* G); + +/* + * 查找 + * + * 返回顶点u在有å‘图中的ä½ç½® + */ +int LocateVex(Graph G, VertexType u); + +/* + * 打å°æœ‰å‘图结构 + */ +void PrintGraph(Graph G); + +#endif diff --git a/CLion/ExerciseBook/07.25/TestData_DG.txt b/CLion/ExerciseBook/07.25/TestData_DG.txt new file mode 100644 index 0000000..ddc3f6e --- /dev/null +++ b/CLion/ExerciseBook/07.25/TestData_DG.txt @@ -0,0 +1,4 @@ +顶点数→9 +弧数→11 +顶点集→ã€A，B，C，D，E，F，G，H，I】 +弧的集åˆâ†’ã€A，B】ã€A，D】ã€B，C】ã€D，E】ã€E，F】ã€F，C】ã€F，G】ã€F，H】ã€H，I】ã€I，D】ã€E，B】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.26/07.26.c b/CLion/ExerciseBook/07.26/07.26.c new file mode 100644 index 0000000..0c682e9 --- /dev/null +++ b/CLion/ExerciseBook/07.26/07.26.c @@ -0,0 +1,141 @@ +#include +#include "Status.h" //**â–²01 绪论**// +#include "ALGraph.h" //**â–²07 图**// +#include "TopologicalSorting.h" //**â–²07 图**// + +/* + * 对无回路的有å‘图中的顶点适当地编å·ï¼Œä½¿å…¶é‚»æŽ¥çŸ©é˜µä¸ºä¸‹ä¸‰è§’形且主对角线为全零。 + * 调整æˆåŠŸåŽï¼Œè¾“出新旧编å·å¯¹ç…§è¡¨ã€‚ + * + * 注：本质上求拓扑排åºçš„逆åºåˆ— + */ +void Algo_7_26(ALGraph G); + +/* + * 以图形化形å¼è¾“出调整结点顺åºåŽçš„图结构 + * + * 注：在图/网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +static void PrintGraph_7_26(ALGraph G, int topo[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("████████ 创建并输出图...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 输出有å‘图的顶点顺åº...\n"); + { + Algo_7_26(G); + printf("\n"); + } + + return 0; +} + + +/* + * 对无回路的有å‘图中的顶点适当地编å·ï¼Œä½¿å…¶é‚»æŽ¥çŸ©é˜µä¸ºä¸‹ä¸‰è§’形且主对角线为全零。 + * 调整æˆåŠŸåŽï¼Œè¾“出新旧编å·å¯¹ç…§è¡¨ã€‚ + * + * 注：本质上求拓扑排åºçš„逆åºåˆ— + */ +void Algo_7_26(ALGraph G) { + int i; + int tmp; + int topo[MAX_VERTEX_NUM]; + + if(TopologicalSort(G, topo) == ERROR) { + printf("给定的有å‘图存在回路，无法获å–其拓扑åºåˆ—...\n"); + return; + } + + printf("调整å‰ï¼š"); + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[i].data); + } + printf("\n"); + + // 对得到的拓扑åºåˆ—åšä¸€ä¸ªç®€å•çš„逆置 + for(i = 0; i < G.vexnum / 2; i++) { + tmp = topo[i]; + topo[i] = topo[G.vexnum - i - 1]; + topo[G.vexnum - i - 1] = tmp; + } + + printf("调整åŽï¼š"); + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[topo[i]].data); + } + printf("\n\n"); + + printf("████████ æ ¹æ®è°ƒæ•´åŽçš„顶点次åºï¼Œæ‰“å°å…¶å­˜å‚¨ç»“æž„(此步骤å¯é€‰)...\n"); + PrintGraph_7_26(G, topo); +} + +/* + * 以图形化形å¼è¾“出调整结点顺åºåŽçš„图结构 + * + * 注：在图/网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +static void PrintGraph_7_26(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, j; + int pos[MAX_VERTEX_NUM]; + int adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; + ArcNode* p; + + // 记录å„顶点在拓扑åºåˆ—中的索引 + for(i = 0; i < G.vexnum; i++) { + pos[topo[i]] = i; + } + + // åˆå§‹åŒ– + for(i = 0; i < G.vexnum; i++) { + for(j = 0; j < G.vexnum; j++) { + adjs[i][j] = 0; + } + } + + // é历有å‘图å„弧之间的关系 + for(i = 0; i < G.vexnum; i++) { + p = G.vertices[i].firstarc; + + while(p != NULL) { + adjs[pos[i]][pos[p->adjvex]] = 1; + p = p->nextarc; + } + } + + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vertices[topo[i]].data); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[topo[i]].data); + + for(j = 0; j < G.vexnum; j++) { + if(adjs[i][j] == 0) { + printf(" -"); + } else { + printf("%3d", adjs[i][j]); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.26/07.26.png b/CLion/ExerciseBook/07.26/07.26.png new file mode 100644 index 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录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + // ★★★此处固定为有å‘图 + kind = 0; + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘图的弧数："); + scanf("%d", &arcnum); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.26/ALGraph.h b/CLion/ExerciseBook/07.26/ALGraph.h new file mode 100644 index 0000000..ce5d0a0 --- /dev/null +++ b/CLion/ExerciseBook/07.26/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.26/CMakeLists.txt b/CLion/ExerciseBook/07.26/CMakeLists.txt new file mode 100644 index 0000000..16faef4 --- /dev/null +++ b/CLion/ExerciseBook/07.26/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.26 SqStack.h SqStack.c ALGraph.h ALGraph.c TopologicalSorting.h TopologicalSorting.c 07.26.c) +# 链接公共库 +target_link_libraries(07.26 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.26/SqStack.c b/CLion/ExerciseBook/07.26/SqStack.c new file mode 100644 index 0000000..d709204 --- /dev/null +++ b/CLion/ExerciseBook/07.26/SqStack.c @@ -0,0 +1,90 @@ +/*========================= + * 栈的顺åºå­˜å‚¨ç»“构（顺åºæ ˆï¼‰ + ==========================*/ + +#include "SqStack.h" //**â–²03 栈和队列**// + +/* + * åˆå§‹åŒ– + * + * 构造一个空栈。åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * 判空 + * + * 判断顺åºæ ˆä¸­æ˜¯å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 顺åºæ ˆä¸ºç©º + * FALSE: 顺åºæ ˆä¸ä¸ºç©º + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * 入栈 + * + * 将元素e压入到栈顶。 + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // 栈满时，追加存储空间 + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // 存储分é…失败 + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // 进栈先赋值，栈顶指针å†è‡ªå¢ž + *(S->top++) = e; + + return OK; +} + +/* + * 出栈 + * + * 将栈顶元素弹出，并用e接收。 + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // 出栈栈顶指针先递å‡ï¼Œå†èµ‹å€¼ + *e = *(--(*S).top); + + return OK; +} diff --git a/CLion/ExerciseBook/07.26/SqStack.h b/CLion/ExerciseBook/07.26/SqStack.h new file mode 100644 index 0000000..e840954 --- /dev/null +++ b/CLion/ExerciseBook/07.26/SqStack.h @@ -0,0 +1,59 @@ +/*========================= + * 栈的顺åºå­˜å‚¨ç»“构（顺åºæ ˆï¼‰ + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* å®å®šä¹‰ */ +#define STACK_INIT_SIZE 100 // 顺åºæ ˆå­˜å‚¨ç©ºé—´çš„åˆå§‹åˆ†é…é‡ +#define STACKINCREMENT 10 // 顺åºæ ˆå­˜å‚¨ç©ºé—´çš„分é…å¢žé‡ + +/* 顺åºæ ˆå…ƒç´ ç±»åž‹å®šä¹‰ */ +typedef int SElemType; + +// 顺åºæ ˆå…ƒç´ ç»“æž„ +typedef struct { + SElemType* base; // 栈底指针 + SElemType* top; // 栈顶指针 + int stacksize; // 当å‰å·²åˆ†é…的存储空间，以元素为å•ä½ +} SqStack; + + +/* + * åˆå§‹åŒ– + * + * 构造一个空栈。åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitStack(SqStack* S); + +/* + * 判空 + * + * 判断顺åºæ ˆä¸­æ˜¯å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 顺åºæ ˆä¸ºç©º + * FALSE: 顺åºæ ˆä¸ä¸ºç©º + */ +Status StackEmpty(SqStack S); + +/* + * 入栈 + * + * 将元素e压入到栈顶。 + */ +Status Push(SqStack* S, SElemType e); + +/* + * 出栈 + * + * 将栈顶元素弹出，并用e接收。 + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/CLion/ExerciseBook/07.26/TestData_DG.txt b/CLion/ExerciseBook/07.26/TestData_DG.txt new file mode 100644 index 0000000..9d20118 --- /dev/null +++ b/CLion/ExerciseBook/07.26/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→12 +弧数→16 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L】 +弧的集åˆâ†’ã€F，J】ã€F，B】ã€F，C】ã€F，A】ã€B，C】ã€J，I】ã€C，I】ã€C，H】ã€I，H】ã€C，G】ã€D，A】ã€D，L】ã€L，A】ã€D，K】ã€K，E】ã€E，G】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.26/TopologicalSorting.c b/CLion/ExerciseBook/07.26/TopologicalSorting.c new file mode 100644 index 0000000..b35a574 --- /dev/null +++ b/CLion/ExerciseBook/07.26/TopologicalSorting.c @@ -0,0 +1,96 @@ +/*======================= + * AOV-网(有å‘图)çš„æ‹“æ‰‘æŽ’åº + * + * 包å«ç®—法: 7.12 + ========================*/ + +#include "TopologicalSorting.h" + +/* + * ████████ 算法7.12 ████████ + * + * 如果有å‘图G无回路，则输出它的一个拓扑åºåˆ—并返回OKï¼›å¦åˆ™ï¼Œè¿”回FALSE。 + * 拓扑åºåˆ—通常ä¸å”¯ä¸€ï¼Œä½†æ˜¯å¿…é¡»ä¿è¯æŸäº›å…³é”®èŠ‚点的先åŽæ¬¡åºã€‚ + * + * 注：与教æä¸åŒä¹‹å¤„在于，此处增加了一个topo数组åšå‚数。 + * 　　对于求出的拓扑åºåˆ—，ä¸ä¼šç›´æŽ¥è¾“出，而是会缓存到topo中。 + * 　　这样的åšçš„目的是åŽç»­çš„习题中会有多处用到该拓扑åºåˆ—。 + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, k, count; + int indegree[MAX_VERTEX_NUM]; + SqStack S; + ArcNode* p; + + // 对å„顶点求入度 + FindInDegree(G, indegree); + + // åˆå§‹åŒ–零入度顶点栈 + InitStack(&S); + + // 建立入度为0的顶点栈 + for(i = 0; i < G.vexnum; i++) { + // 将入度为0的顶点添加到栈中 + if(indegree[i] == 0) { + Push(&S, i); + } + } + + // 对拓扑åºåˆ—中的顶点计数 + count = 0; + + // é历顶点栈 + while(!StackEmpty(S)) { + // 获å–一个零入度顶点 + Pop(&S, &i); + + // å°†å„顶点的åºå·æš‚å­˜èµ·æ¥ + topo[count++] = i; + + // é历iå·é¡¶ç‚¹çš„邻接点 + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // 获å–顶点åºå· + k = p->adjvex; + + /* + * å°†iå·é¡¶ç‚¹æ¯ä¸ªé‚»æŽ¥ç‚¹çš„入度å‡ä¸€ï¼Œè¿™ç›¸å½“于切段iå·é¡¶ç‚¹åˆ°å…¶å®ƒé‚»æŽ¥ç‚¹çš„è”系。 + * 如果出现了新的入度为0的顶点，继续将其入栈。 + */ + if((--indegree[k]) == 0) { + Push(&S, k); + } + } + } + + // 如果é‡åˆ°äº†å›žè·¯ï¼Œåˆ™è¿”回ERROR + if(count < G.vexnum) { + return ERROR; + } else { + return OK; + } +} + +/* + * 计算å„顶点的入度 + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]) { + int i; + ArcNode* p; + + // åˆå§‹åŒ–所有顶点的入度为0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // é历所有顶点 + for(i = 0; i < G.vexnum; i++) { + // 指å‘该顶点的首个邻接点 + p = G.vertices[i].firstarc; + + // é历该顶点的所有邻接点，统计å„顶点的入度 + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } +} diff --git a/CLion/ExerciseBook/07.26/TopologicalSorting.h b/CLion/ExerciseBook/07.26/TopologicalSorting.h new file mode 100644 index 0000000..ecdde03 --- /dev/null +++ b/CLion/ExerciseBook/07.26/TopologicalSorting.h @@ -0,0 +1,28 @@ +/*======================= + * AOV-网(有å‘图)çš„æ‹“æ‰‘æŽ’åº + * + * 包å«ç®—法: 7.12 + ========================*/ + +#ifndef TOPOLOGICALSORTING_H +#define TOPOLOGICALSORTING_H + +#include +#include "Status.h" //**â–²01 绪论**// +#include "SqStack.h" //**â–²03 栈和队列**// +#include "ALGraph.h" //**â–²07 图**// + +/* + * ████████ 算法7.12 ████████ + * + * 如果有å‘图G无回路，则输出它的一个拓扑åºåˆ—并返回OKï¼›å¦åˆ™ï¼Œè¿”回FALSE。 + * 拓扑åºåˆ—通常ä¸å”¯ä¸€ï¼Œä½†æ˜¯å¿…é¡»ä¿è¯æŸäº›å…³é”®èŠ‚点的先åŽæ¬¡åºã€‚ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]); + +/* + * 计算å„顶点的入度 + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]); + +#endif diff --git a/CLion/ExerciseBook/07.27/07.27.c b/CLion/ExerciseBook/07.27/07.27.c new file mode 100644 index 0000000..9f34067 --- /dev/null +++ b/CLion/ExerciseBook/07.27/07.27.c @@ -0,0 +1,133 @@ +#include +#include "Status.h" //**â–²01 绪论**// +#include "ALGraph.h" //**â–²07 图**// + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * 输出满足æ¡ä»¶çš„简å•è·¯å¾„ + */ +void Algo_7_27(ALGraph G, VertexType start, VertexType end, int k); + +/* + * 查找满足æ¡ä»¶çš„简å•è·¯å¾„。 + * + * path用æ¥å­˜å‚¨è·¯è¿‡çš„顶点，path[0]存储path中的顶点数é‡ã€‚ + * + * 如果找到简å•è·¯å¾„，则将其存储到path中，并返回OKï¼›å¦åˆ™ï¼Œè¿”回ERROR。 + */ +Status SimplePath_7_27(ALGraph G, int start, int end, int k, int path[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("████████ 创建并输出图...\n"); + { + char* path[4]; + + path[0] = ""; + path[1] = ""; + path[2] = "TestData_UDG.txt"; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 查找简å•è·¯å¾„...\n"); + { + VertexType start = 'A'; + VertexType end = 'B'; + int k = 4; + + Algo_7_27(G, start, end, k); + printf("\n"); + } + + return 0; +} + + +/* + * 输出满足æ¡ä»¶çš„简å•è·¯å¾„ + */ +void Algo_7_27(ALGraph G, VertexType start, VertexType end, int k) { + int i, m, n; + int path[MAX_VERTEX_NUM + 1]; // 0å·å•å…ƒç”¨æ¥è®°å½•pathä¸­å­˜å‚¨çš„é¡¶ç‚¹æ•°é‡ + Status s; + + m = LocateVex(G, start); + n = LocateVex(G, end); + + if(k <= 0 || m == -1 || n == -1 || m == n) { + printf("å‚数错误ï¼\n"); + return; + } + + // 把所有顶点标记为未访问 + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + s = SimplePath_7_27(G, m, n, k, path); + + if(s == ERROR) { + printf("未找到符åˆæ¡ä»¶çš„简å•è·¯å¾„ï¼\n"); + return; + } + + printf("%c 到 %c 之间存在的一æ¡é•¿åº¦ä¸º %d 的简å•è·¯å¾„为：", start, end, k); + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + printf("\n"); +} + +/* + * 查找满足æ¡ä»¶çš„简å•è·¯å¾„。 + * + * path用æ¥å­˜å‚¨è·¯è¿‡çš„顶点，path[0]存储path中的顶点数é‡ã€‚ + * + * 如果找到简å•è·¯å¾„，则将其存储到path中，并返回OKï¼›å¦åˆ™ï¼Œè¿”回ERROR。 + */ +Status SimplePath_7_27(ALGraph G, int start, int end, int k, int path[MAX_VERTEX_NUM]) { + int w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // 标记该顶点已访问 + + // 如果é‡åˆ°ç»ˆç‚¹ï¼Œåˆ™éœ€è¦è§†æƒ…形返回 + if(start == end) { + // 顶点数 = 路径长度+1 + if(path[0] == k + 1) { + return OK; + } + } else { + // 深度优先é历 + for(w = FirstAdjVex(G, G.vertices[start].data); + w >= 0; + w = NextAdjVex(G, G.vertices[start].data, G.vertices[w].data)) { + // 忽略已访问过的顶点 + if(visited[w] == TRUE) { + continue; + } + + if(SimplePath_7_27(G, w, end, k, path) == OK) { + return OK; + } + } + } + + // 从路径中移除该顶点，并将其状æ€é™çº§ä¸º"已访问" + path[0]--; + visited[start] = FALSE; // 清除访问标记 + + return ERROR; +} diff --git a/CLion/ExerciseBook/07.27/07.27.png b/CLion/ExerciseBook/07.27/07.27.png new file mode 100644 index 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z;sNQl2ckGTfkj3Sjko#9j8;vDaYc1A1)jm~`*Ju!yhY!VUgDRP{Cv$cOIi>L%Obr6 zVvp}m1tae?Ph#qzInca zL8MQ{`_p-4?Qe25f|HRw?Oy|*49{txZ(p&dL+PcNbmmp1;i38`F_mB4nE|StYY6!f z15GE*C+UAH_AS=aLxds7BT+N3pjs`c + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(ALGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // 指定的顶点ä¸å­˜åœ¨ + } + + return G.vertices[v].data; +} + +/* + * 赋值 + * + * 将顶点v赋值为value + */ +Status PutVex(ALGraph* G, VertexType v, VertexType value) { + int k; + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex((*G), v); + if(k == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // 替æ¢å¤´ç»“点 + (*G).vertices[k].data = value; + + /* 链表中的元素存储的是顶点的ä½ç½®ï¼Œæ‰€ä»¥æ— éœ€é历链表æ¥æ›¿æ¢ç›®æ ‡å€¼ */ + + return OK; +} + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(ALGraph G, VertexType v) { + int k; + ArcNode* r; + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(G, v); + if(k == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + r = G.vertices[k].firstarc; + if(r == NULL) { + return -1; + } else { + return r->adjvex; + } +} + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w) { + int kv, kw; + ArcNode* r; + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + r = G.vertices[kv].firstarc; + if(r == NULL) { + return -1; // 链表为空 + } + + // 在链表中查找w + while(r != NULL && r->adjvex < kw) { + r = r->nextarc; + } + + // 如果没找到w + if(r == NULL) { + return -1; + } + + // 如果找到了w，但是wåŽé¢æ²¡æœ‰åˆ«çš„顶点，那么也无法返回邻接点 + if(r->adjvex == kw && r->nextarc != NULL) { + return r->nextarc->adjvex; + } + + return -1; +} + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex(ALGraph* G, VertexType v) { + int k; + + // 顶点数过多 + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // 指定的顶点存在时，无需é‡å¤æ·»åŠ  + } + + G->vertices[(*G).vexnum].data = v; + G->vertices[(*G).vexnum].firstarc = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex(ALGraph* G, VertexType v) { + int k, i; + ArcNode* pre, * r; + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // 找到以结点v出å‘的链表，释放该链表上所有结点 + r = G->vertices[k].firstarc; + while(r != NULL) { + pre = r; + r = r->nextarc; + free(pre); + + (*G).arcnum--; + } + + G->vertices[k].firstarc = NULL; + + // é历其它所有链表，删除那些指å‘顶点v的弧；而且，下标超过k的顶点，其下标值需è¦é€’å‡ + for(i = 0; i < G->vexnum; i++) { + pre = NULL; + r = G->vertices[i].firstarc; + while(r != NULL && r->adjvex < k) { + pre = r; + r = r->nextarc; + } + + // 链表上所有顶点的下标å‡å°äºŽk + if(r == NULL) { + continue; + } + + if(r->adjvex == k) { + // 从开头删掉结点v + if(pre == NULL) { + G->vertices[i].firstarc = r->nextarc; + + // 从中间æŸä¸ªä½ç½®åˆ æŽ‰ç»“点v + } else { + pre->nextarc = r->nextarc; + } + + free(r); + + // 如果这是有å‘的图/网，ä¾ç„¶éœ€è¦é€’å‡è¾¹/å¼§çš„æ•°é‡ + if((*G).kind == DG || (*G).kind == DN) { + (*G).arcnum--; + } + } + + // å†æ¬¡ç¡®å®šrçš„ä½ç½® + if(pre == NULL) { + r = G->vertices[i].firstarc; + } else { + r = pre->nextarc; + } + + // 下标超过k的顶点，需è¦é€’å‡å…¶ä¸‹æ ‡ + while(r != NULL && r->adjvex > k) { + r->adjvex -= 1; + r = r->nextarc; + } + } + + // 顶点集å‰ç§» + for(i = k + 1; i < (*G).vexnum; i++) { + G->vertices[i - 1] = G->vertices[i]; + } + + // é¡¶ç‚¹æ•°é€’å‡ + (*G).vexnum--; + + return OK; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 删除边/弧 + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + for(count = 0; count < 2; count++) { + pre = NULL; + // 在当å‰é“¾è¡¨ä¸­æ‰¾åˆ°å¾…删除的边/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // 找到了待删除的边/弧 + if(r != NULL && r->adjvex == head) { + if(pre == NULL) { + G->vertices[tail].firstarc = r->nextarc; + } else { + pre->nextarc = r->nextarc; + } + + free(r); + } else { + return ERROR; // 没找到 + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒tailå’Œhead + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + (*G).arcnum--; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå‡ä¸€ + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.27/ALGraph.h b/CLion/ExerciseBook/07.27/ALGraph.h new file mode 100644 index 0000000..1baa0df --- /dev/null +++ b/CLion/ExerciseBook/07.27/ALGraph.h @@ -0,0 +1,175 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造无å‘图 + */ +static Status CreateUDG(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(ALGraph G, int v); + +/* + * 赋值 + * + * 将顶点v赋值为value + */ +Status PutVex(ALGraph* G, VertexType v, VertexType value); + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(ALGraph G, VertexType v); + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w); + +/* + * æ’入顶点 + * + * 将指定的顶点v追加到顶点集中，未建立该顶点与其他顶点的关系 + */ +Status InsertVex(ALGraph* G, VertexType v); + +/* + * 删除顶点 + * + * 从顶点集中删除指定的顶点v，注æ„需è¦æ›´æ–°ç›¸å…³çš„顶点关系 + */ +Status DeleteVex(ALGraph* G, VertexType v); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 删除边/弧 + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.27/CMakeLists.txt b/CLion/ExerciseBook/07.27/CMakeLists.txt new file mode 100644 index 0000000..c3214a4 --- /dev/null +++ b/CLion/ExerciseBook/07.27/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.27 ALGraph.h ALGraph.c 07.27.c) +# 链接公共库 +target_link_libraries(07.27 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.27/TestData_UDG.txt b/CLion/ExerciseBook/07.27/TestData_UDG.txt new file mode 100644 index 0000000..8bc43d6 --- /dev/null +++ b/CLion/ExerciseBook/07.27/TestData_UDG.txt @@ -0,0 +1,6 @@ +图类型→2（无å‘图） +顶点数→9 +边数→13 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I】 +边的集åˆâ†’ã€A，B】ã€B，E】ã€E，D】ã€D，F】ã€F，A】ã€B，D】ã€A，C】ã€C，E】ã€A，H】ã€H，G】ã€G，C】ã€C，I】ã€H，I】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.28/07.28.c b/CLion/ExerciseBook/07.28/07.28.c new file mode 100644 index 0000000..de86261 --- /dev/null +++ b/CLion/ExerciseBook/07.28/07.28.c @@ -0,0 +1,110 @@ +#include +#include "Status.h" //**â–²01 绪论**// +#include "MGraph.h" //**â–²07 图**// + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * 输出满足æ¡ä»¶çš„简å•è·¯å¾„ + */ +void Algo_7_28(MGraph G, VertexType start, VertexType end); + +/* + * 查找start到end之间的所有的简å•è·¯å¾„ + */ +void SimplePath_7_28(MGraph G, int start, int end, int path[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("████████ 创建并输出图...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 查找简å•è·¯å¾„...\n"); + { + VertexType start = 'u'; + VertexType end = 'v'; + + Algo_7_28(G, start, end); + printf("\n"); + } + + return 0; +} + + +/* + * 输出start到end之间的所有的简å•è·¯å¾„ + */ +void Algo_7_28(MGraph G, VertexType start, VertexType end) { + int i, m, n; + int path[MAX_VERTEX_NUM + 1]; // 0å·å•å…ƒç”¨æ¥è®°å½•pathä¸­å­˜å‚¨çš„é¡¶ç‚¹æ•°é‡ + + m = LocateVex(G, start); + n = LocateVex(G, end); + + if(m == -1 || n == -1 || m == n) { + printf("å‚数错误ï¼\n"); + return; + } + + // 把所有顶点标记为未访问 + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + printf("查找 %c 到 %c 之间存在的所有简å•è·¯å¾„...\n", start, end); + SimplePath_7_28(G, m, n, path); +} + +/* + * 查找start到end之间的所有的简å•è·¯å¾„ + */ +void SimplePath_7_28(MGraph G, int start, int end, int path[MAX_VERTEX_NUM]) { + int i, w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // 标记该顶点已访问 + + // 如果é‡åˆ°æ»¡è¶³é¢˜æ„的路径，则输出它 + if(start == end) { + // 输出找到的简å•è·¯å¾„ + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + printf("\n"); + } else { + // 深度优先é历 + for(w = FirstAdjVex(G, G.vexs[start]); + w >= 0; + w = NextAdjVex(G, G.vexs[start], G.vexs[w])) { + // 忽略已访问过的顶点 + if(visited[w] == TRUE) { + continue; + } + + SimplePath_7_28(G, w, end, path); + } + } + + // 从路径中移除该顶点，并将其状æ€é™çº§ä¸º"已访问" + path[0]--; + visited[start] = FALSE; // 清除访问标记 +} diff --git a/CLion/ExerciseBook/07.28/07.28.png b/CLion/ExerciseBook/07.28/07.28.png new file mode 100644 index 0000000000000000000000000000000000000000..d814ec27df79db865275062fa483cfa48ee7242e GIT binary patch literal 10441 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z@Sd31FIG4|2{1L}V{$+Ignc9^uCO>5)unFMG{mEgNBl#Tlm)%z5*rP8Qiv+-A$?5c zhCJmzSc-HfS!_Q78jo!YLE#~wEWe4>s*EjxWfVgzSky;= G.vexnum) { + return '\0'; // 指定的顶点ä¸å­˜åœ¨ + } + + return G.vexs[v]; +} + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(MGraph G, VertexType v) { + int kv, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + // 确定一个éžè¿žé€šæ ‡è®° + if(G.kind == DG || G.kind == UDG) { + adj = 0; // 图 + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // 网 + } else { + return -1; + } + + // 从头开始查找 + for(j = 0; j < G.vexnum; j++) { + // 找到与v直接连接的顶点 + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w) { + int kv, kw, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + // 确定一个éžè¿žé€šæ ‡è®° + if(G.kind == DG || G.kind == UDG) { + adj = 0; // 图 + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // 网 + } else { + return -1; + } + + // 从顶点wåŽå¼€å§‹æŸ¥æ‰¾ + for(j = kw + 1; j < G.vexnum; j++) { + // 找到与v直接连接的顶点 + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.28/MGraph.h b/CLion/ExerciseBook/07.28/MGraph.h new file mode 100644 index 0000000..4a33b72 --- /dev/null +++ b/CLion/ExerciseBook/07.28/MGraph.h @@ -0,0 +1,133 @@ +/*================================= + * 图的数组(邻接矩阵)存储表示 + * + * 包å«ç®—法: 7.1ã€7.2ã€7.4ã€7.5ã€7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // æä¾›å®INT_MAX +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + */ + +/* å®å®šä¹‰ */ +#define INFINITE INT_MAX // 最大值，用æ¥è¡¨ç¤ºç½‘中的两个顶点ä¸ç›´æŽ¥è¿žæŽ¥ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +/* + * 顶点关系类型 + * + * 在无æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸º0或1，表示两顶点是å¦ç›´æŽ¥è¿žé€šï¼› + * 在有æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸ºæƒå€¼ã€‚ + */ +typedef int VRType; + +// è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + // 如果有的è¯ï¼ŒåŽç»­ä¼šæ·»åŠ ç›¸åº”的属性 +} InfoType; + +// 边的类型，æ¯æ¡è¾¹ä¸Šå¯èƒ½æœ‰é™„加信æ¯info +typedef struct ArcCell { + VRType adj; // 顶点关系，在有æƒå›¾è·Ÿæ— æƒå›¾ä¸­çš„å«ä¹‰ä¸åŒ + InfoType* info; // 边的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcCell; + +/* 图/网的数组(邻接矩阵)存储表示类型定义 */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // 顶点å‘é‡ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // 邻接矩阵 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} MGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * ████████ 算法7.1 ████████ + * + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * 构造无å‘图 + */ +static Status CreateDG(MGraph* G); + +/* + * å½•å…¥è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(MGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(MGraph G, VertexType u); + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(MGraph G, int v); + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(MGraph G, VertexType v); + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.28/TestData_DG.txt b/CLion/ExerciseBook/07.28/TestData_DG.txt new file mode 100644 index 0000000..c16e388 --- /dev/null +++ b/CLion/ExerciseBook/07.28/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→8 +弧数→11 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€a，b，c，d，e，f，u，v】 +弧的集åˆâ†’ã€u，c】ã€c，d】ã€d，e】ã€e，u】ã€d，v】ã€e，f】ã€f，v】ã€v，b】ã€b，f】ã€u，a】ã€a，b】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.29/07.29.c b/CLion/ExerciseBook/07.29/07.29.c new file mode 100644 index 0000000..3c8c180 --- /dev/null +++ b/CLion/ExerciseBook/07.29/07.29.c @@ -0,0 +1,110 @@ +#include +#include "Status.h" //**â–²01 绪论**// +#include "MGraph.h" //**â–²07 图**// + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * 输出有å‘图G中长度为k的简å•è·¯å¾„ + */ +void Algo_7_29(MGraph G, int k); + +/* + * 查找有å‘图G中长度为k的简å•è·¯å¾„ + */ +void SimplePath_7_29(MGraph G, int start, int k, int path[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("████████ 创建并输出图...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 查找定长的简å•è·¯å¾„...\n"); + { + int k = 4; + + Algo_7_29(G, k); + printf("\n"); + } + + return 0; +} + + +/* + * 输出有å‘图G中长度为k的简å•è·¯å¾„ + */ +void Algo_7_29(MGraph G, int k) { + int i; + int path[MAX_VERTEX_NUM + 1]; // 0å·å•å…ƒç”¨æ¥è®°å½•pathä¸­å­˜å‚¨çš„é¡¶ç‚¹æ•°é‡ + + if(k <= 0) { + printf("å‚数错误ï¼\n"); + return; + } + + // 把所有顶点标记为未访问 + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + printf("查找所有长度为 %d 的简å•è·¯å¾„...\n", k); + + for(i = 0; i < G.vexnum; i++) { + SimplePath_7_29(G, i, k, path); + } + +} + +/* + * 查找有å‘图G中长度为k的简å•è·¯å¾„ + */ +void SimplePath_7_29(MGraph G, int start, int k, int path[MAX_VERTEX_NUM]) { + int i, w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // 标记该顶点已访问 + + // 如果é‡åˆ°é•¿åº¦ä¸ºk的路径(顶点数 = 路径长度+1)，则输出它 + if(path[0] == k + 1) { + // 输出找到的简å•è·¯å¾„ + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + printf("\n"); + } else { + // 深度优先é历 + for(w = FirstAdjVex(G, G.vexs[start]); + w >= 0; + w = NextAdjVex(G, G.vexs[start], 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zJOrexj{Wn<&Nqj_g^+q^oJti>#pmbMMi+c3(0^*ept~`tLPL&tURq)nM+B#yTos=^_@b=+e5*RWq}~dpZ6MH}t7f5kA4~q_ zhSb*xX$@kI2dJxO9|M|A7anj5cxP)ZoUV#~R-95Fjc)a|UwWPJYfjpt;_%Y1Ay|Jw&j+pk z>1%EI{E+QJz3$Xru-=$J;9<-INE8Cx8%buMSlce8VMYy&#G3Juxa*5uZv6%1-f5>=$#hDKP|4| z>sNqk(wI8oE*Sq5CvdLa#M*iW)e0{c zK{X27!6+uG*JDk)5|AKu%@V&9{YZ?HFGK6 zuzgwHNE^HIlwf4JK3ASa`o8am4;6hh6X)U^pJLIP^Sd(?9}? z@Sd31FIG4|2{1L}V{$+Ignc9^uCO>5)unFMG{mEgNBl#Tlm)%z5*rP8Qiv+-A$?5c zhCJmzSc-HfS!_Q78jo!YLE#~wEWe4>s*EjxWfVgzSky;= G.vexnum) { + return '\0'; // 指定的顶点ä¸å­˜åœ¨ + } + + return G.vexs[v]; +} + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(MGraph G, VertexType v) { + int kv, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + // 确定一个éžè¿žé€šæ ‡è®° + if(G.kind == DG || G.kind == UDG) { + adj = 0; // 图 + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // 网 + } else { + return -1; + } + + // 从头开始查找 + for(j = 0; j < G.vexnum; j++) { + // 找到与v直接连接的顶点 + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w) { + int kv, kw, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + // 确定一个éžè¿žé€šæ ‡è®° + if(G.kind == DG || G.kind == UDG) { + adj = 0; // 图 + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // 网 + } else { + return -1; + } + + // 从顶点wåŽå¼€å§‹æŸ¥æ‰¾ + for(j = kw + 1; j < G.vexnum; j++) { + // 找到与v直接连接的顶点 + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.29/MGraph.h b/CLion/ExerciseBook/07.29/MGraph.h new file mode 100644 index 0000000..4a33b72 --- /dev/null +++ b/CLion/ExerciseBook/07.29/MGraph.h @@ -0,0 +1,133 @@ +/*================================= + * 图的数组(邻接矩阵)存储表示 + * + * 包å«ç®—法: 7.1ã€7.2ã€7.4ã€7.5ã€7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // æä¾›å®INT_MAX +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + */ + +/* å®å®šä¹‰ */ +#define INFINITE INT_MAX // 最大值，用æ¥è¡¨ç¤ºç½‘中的两个顶点ä¸ç›´æŽ¥è¿žæŽ¥ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +/* + * 顶点关系类型 + * + * 在无æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸º0或1，表示两顶点是å¦ç›´æŽ¥è¿žé€šï¼› + * 在有æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸ºæƒå€¼ã€‚ + */ +typedef int VRType; + +// è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + // 如果有的è¯ï¼ŒåŽç»­ä¼šæ·»åŠ ç›¸åº”的属性 +} InfoType; + +// 边的类型，æ¯æ¡è¾¹ä¸Šå¯èƒ½æœ‰é™„加信æ¯info +typedef struct ArcCell { + VRType adj; // 顶点关系，在有æƒå›¾è·Ÿæ— æƒå›¾ä¸­çš„å«ä¹‰ä¸åŒ + InfoType* info; // 边的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcCell; + +/* 图/网的数组(邻接矩阵)存储表示类型定义 */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // 顶点å‘é‡ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // 邻接矩阵 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} MGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * ████████ 算法7.1 ████████ + * + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * 构造无å‘图 + */ +static Status CreateDG(MGraph* G); + +/* + * å½•å…¥è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(MGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(MGraph G, VertexType u); + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(MGraph G, int v); + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(MGraph G, VertexType v); + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.29/TestData_DG.txt b/CLion/ExerciseBook/07.29/TestData_DG.txt new file mode 100644 index 0000000..c16e388 --- /dev/null +++ b/CLion/ExerciseBook/07.29/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→8 +弧数→11 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€a，b，c，d，e，f，u，v】 +弧的集åˆâ†’ã€u，c】ã€c，d】ã€d，e】ã€e，u】ã€d，v】ã€e，f】ã€f，v】ã€v，b】ã€b，f】ã€u，a】ã€a，b】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.30/07.30.c b/CLion/ExerciseBook/07.30/07.30.c new file mode 100644 index 0000000..4ac711b --- /dev/null +++ b/CLion/ExerciseBook/07.30/07.30.c @@ -0,0 +1,99 @@ +#include +#include "Status.h" +#include "MGraph.h" + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * 找出有å‘图中所有回路 + */ +void Algo_7_30(MGraph G); + +/* + * 打å°æœ‰å‘图中所有回路 + */ +void Circuit_7_30(MGraph G, int start, int end, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("████████ 创建并输出图...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 查找图中的回路...\n"); + { + Algo_7_30(G); + printf("\n"); + } + + return 0; +} + + +/* + * 找出有å‘图中所有回路 + */ +void Algo_7_30(MGraph G) { + int i; + int path[MAX_VERTEX_NUM + 1]; // 0å·å•å…ƒç”¨æ¥è®°å½•pathä¸­å­˜å‚¨çš„é¡¶ç‚¹æ•°é‡ + + // 把所有顶点标记为未访问 + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + for(i = 0; i < G.vexnum; i++) { + Circuit_7_30(G, i, i, path); + } +} + +/* + * 打å°æœ‰å‘图中所有回路 + */ +void Circuit_7_30(MGraph G, int start, int end, int path[MAX_VERTEX_NUM]) { + int i, w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // 标记该顶点已进入路径 + + // é历顶点start的邻接点 + for(w = FirstAdjVex(G, G.vexs[start]); w >= 0; w = NextAdjVex(G, G.vexs[start], G.vexs[w])) { + // 如果é‡åˆ°äº†å·²åœ¨è·¯å¾„中的邻接点，说明出现了回路 + if(visited[w] == TRUE) { + if(w == end) { + // 输出回路 + for(i = 1; i <= path[0]; i++) { + printf("%c -> ", GetVex(G, path[i])); + } + printf("%c\n", GetVex(G, w)); + } + + } else { + // 筛掉é‡å¤è·¯å¾„ + if(w > end) { + Circuit_7_30(G, w, end, path); + } + } + } + + // 从路径中移除该顶点，并将其状æ€é™çº§ä¸º"已访问" + path[0]--; + visited[start] = FALSE; +} diff --git a/CLion/ExerciseBook/07.30/07.30.png b/CLion/ExerciseBook/07.30/07.30.png new file mode 100644 index 0000000000000000000000000000000000000000..02410bc62be3037124e596cce3277db9eab58733 GIT binary patch literal 10195 zcmYkCby!r-`~K-p5m=Ts04b$Ga%t(34q>HR5TqNHSP&5bX%G=9Dd}F8?rvGSyQIE{ zx1a0!{r-SGJ7?xOb7sywXI}Tcks4|W!~|dhG&D5gSBkP)XlUrnz;Oc}2JpY;AkGr_ zKzGwpkVY#RpxXq#U|B;{A!ul2afH|A*uZyu7exa%G&GX-`#X&t0{g#=@-Tu|jx_s}IY!+Qz-7iT=v~c-(jJsdm z5l7qegph`5hnJC>86$*{px_F_!k<@AQU)=bD#O*I@xw#v zqf5fDwvOqUS+`SOq@=?UvsoEt{pLi=+m_Y6`TB#e$-*44K^@j~1P@GIwGrFZ@D;-s 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zbZF!ll*5+wU(HDyXzSGIsN1^|!pbq_wMaVEK^ZUDvVK2-qfhEAeI2&!C!JUOGxiFM zSz;Zfv?=(?wE%aFR~AwLEpxJKC9fM{aK7~x2p3T(1=TAW@v z+q3?Wt_OA_PhYmiPk2&v!tqg73xr3w#^0FKGTkUTvk#a@z_he7AM0ZP7*kcbm%MjV z`)N%g-8z`}4w;?R!4;6q!pZH*Cd#>QfCEwg%Fu}{{g2{yeI)JGyBQ6se^Hj4K7FAj obLIyF;;kME3=N7Py_5V?lScl!>hB)#Lp-!sa%!?A(r<$Q59?0Z&;S4c literal 0 HcmV?d00001 diff --git a/CLion/ExerciseBook/07.30/CMakeLists.txt b/CLion/ExerciseBook/07.30/CMakeLists.txt new file mode 100644 index 0000000..5ca7a3b --- /dev/null +++ b/CLion/ExerciseBook/07.30/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.30 MGraph.h MGraph.c 07.30.c) +# 链接公共库 +target_link_libraries(07.30 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.30/MGraph.c b/CLion/ExerciseBook/07.30/MGraph.c new file mode 100644 index 0000000..7751984 --- /dev/null +++ b/CLion/ExerciseBook/07.30/MGraph.c @@ -0,0 +1,299 @@ +/*================================= + * 图的数组(邻接矩阵)存储表示 + * + * 包å«ç®—法: 7.1ã€7.2ã€7.4ã€7.5ã€7.6 + ==================================*/ + +#include "MGraph.h" //**â–²07 图**// + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + + +/* + * ████████ 算法7.1 ████████ + * + * 创建图/表 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + // ★★★此处固定为有å‘图 + kind = 0; + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // 有å‘图æ¯æ¡è¾¹çš„åˆå§‹å€¼ + VertexType v1, v2; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入有å‘图的弧数："); + scanf("%d", &((*G).arcnum)); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < (*G).vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // åˆå§‹åŒ–有å‘图的邻接矩阵 + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + j = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + // 将指定的顶点关系设置为1，指示这两个顶点是直接连接的(注：这里没有验è¯ä¸‹æ ‡æ˜¯å¦è¶Šç•Œ) + (*G).arcs[i][j].adj = 1; + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(MGraph G, InfoType** info) { + //录入边/弧的信æ¯ï¼Œæœ¬æµ‹è¯•æ¶‰åŠåˆ°çš„è¾¹/å¼§é»˜è®¤æ— å…¶ä»–é™„åŠ ä¿¡æ¯ +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(MGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // 指定的顶点ä¸å­˜åœ¨ + } + + return G.vexs[v]; +} + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(MGraph G, VertexType v) { + int kv, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + // 确定一个éžè¿žé€šæ ‡è®° + if(G.kind == DG || G.kind == UDG) { + adj = 0; // 图 + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // 网 + } else { + return -1; + } + + // 从头开始查找 + for(j = 0; j < G.vexnum; j++) { + // 找到与v直接连接的顶点 + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w) { + int kv, kw, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + // 确定一个éžè¿žé€šæ ‡è®° + if(G.kind == DG || G.kind == UDG) { + adj = 0; // 图 + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // 网 + } else { + return -1; + } + + // 从顶点wåŽå¼€å§‹æŸ¥æ‰¾ + for(j = kw + 1; j < G.vexnum; j++) { + // 找到与v直接连接的顶点 + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.30/MGraph.h b/CLion/ExerciseBook/07.30/MGraph.h new file mode 100644 index 0000000..4a33b72 --- /dev/null +++ b/CLion/ExerciseBook/07.30/MGraph.h @@ -0,0 +1,133 @@ +/*================================= + * 图的数组(邻接矩阵)存储表示 + * + * 包å«ç®—法: 7.1ã€7.2ã€7.4ã€7.5ã€7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // æä¾›å®INT_MAX +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + */ + +/* å®å®šä¹‰ */ +#define INFINITE INT_MAX // 最大值，用æ¥è¡¨ç¤ºç½‘中的两个顶点ä¸ç›´æŽ¥è¿žæŽ¥ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +/* + * 顶点关系类型 + * + * 在无æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸º0或1，表示两顶点是å¦ç›´æŽ¥è¿žé€šï¼› + * 在有æƒå›¾ä¸­ï¼Œè¯¥å€¼é€šå¸¸ä¸ºæƒå€¼ã€‚ + */ +typedef int VRType; + +// è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + // 如果有的è¯ï¼ŒåŽç»­ä¼šæ·»åŠ ç›¸åº”的属性 +} InfoType; + +// 边的类型，æ¯æ¡è¾¹ä¸Šå¯èƒ½æœ‰é™„加信æ¯info +typedef struct ArcCell { + VRType adj; // 顶点关系，在有æƒå›¾è·Ÿæ— æƒå›¾ä¸­çš„å«ä¹‰ä¸åŒ + InfoType* info; // 边的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcCell; + +/* 图/网的数组(邻接矩阵)存储表示类型定义 */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // 顶点å‘é‡ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // 邻接矩阵 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} MGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * ████████ 算法7.1 ████████ + * + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * 构造无å‘图 + */ +static Status CreateDG(MGraph* G); + +/* + * å½•å…¥è¾¹çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(MGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(MGraph G, VertexType u); + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(MGraph G, int v); + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(MGraph G, VertexType v); + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + * + * 注：在网中，使用"-"æ¥è¡¨ç¤ºä¸¤é¡¶ç‚¹ä¸ç›´æŽ¥è¿žé€š + */ +void PrintGraph(MGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.30/TestData_DG.txt b/CLion/ExerciseBook/07.30/TestData_DG.txt new file mode 100644 index 0000000..1602489 --- /dev/null +++ b/CLion/ExerciseBook/07.30/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→12 +弧数→16 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L】 +弧的集åˆâ†’ã€A，E】ã€B，E】ã€E，C】ã€C，F】ã€F，E】ã€D，E】ã€G，D】ã€E，H】ã€E，I】ã€I，H】ã€H，G】ã€J，G】ã€H，K】ã€L，I】ã€L，K】ã€K，J】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.31/07.31.c b/CLion/ExerciseBook/07.31/07.31.c new file mode 100644 index 0000000..2c8408c --- /dev/null +++ b/CLion/ExerciseBook/07.31/07.31.c @@ -0,0 +1,47 @@ +#include +#include "OLGraph.h" +#include "StronglyConnectedComponents.h" + +/* + * 求有å‘å›¾çš„å¼ºè¿žé€šåˆ†é‡ + */ +void Algo_7_31(OLGraph G); + + +int main(int argc, char* argv[]) { + OLGraph G; + + printf("████████ 创建并打å°æœ‰å‘图... \n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 求有å‘图的强连通分é‡... \n"); + { + Algo_7_31(G); + printf("\n"); + } + + return 0; +} + + +/* + * 求有å‘å›¾çš„å¼ºè¿žé€šåˆ†é‡ + */ +void Algo_7_31(OLGraph G) { + printf("Tarjan算法：\n"); + Tarjan(G); + +// printf("Kosaraju算法：\n"); +// Kosaraju(G); +} diff 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P{<*89saPRz8T5Yu3gj_8 literal 0 HcmV?d00001 diff --git a/CLion/ExerciseBook/07.31/CMakeLists.txt b/CLion/ExerciseBook/07.31/CMakeLists.txt new file mode 100644 index 0000000..e6810c6 --- /dev/null +++ b/CLion/ExerciseBook/07.31/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.31 OLGraph.h OLGraph.c StronglyConnectedComponents.h StronglyConnectedComponents.c 07.31.c) +# 链接公共库 +target_link_libraries(07.31 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.31/OLGraph.c b/CLion/ExerciseBook/07.31/OLGraph.c new file mode 100644 index 0000000..f0bd34a --- /dev/null +++ b/CLion/ExerciseBook/07.31/OLGraph.c @@ -0,0 +1,509 @@ +/*==================== + * 图的å字链表存储表示 + * + * 包å«ç®—法: 7.3 + ====================*/ + +#include "OLGraph.h" + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图的边上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(OLGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + // ★★★此处固定为有å‘图 + kind = 0; + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ████████ 算法7.3 ████████ + * + * 构造有å‘图 + * + * 注： + * æ•™æ中使用了头æ’法æ¥æ’入弧，这ç§åšæ³•çš„唯一优点是æ’入方便， + * 但是在涉åŠåˆ°åˆ é™¤æˆ–查找时，效率较低； + * 而且，"头æ’法"ä¾èµ–输入的顺åºï¼Œå¦‚果输入的边/弧是乱åºçš„， + * 则最终构造出的图/网中的边/弧也是无åºçš„。 + * + * 为了克æœä»¥ä¸Šç¼ºç‚¹ï¼Œè¿™é‡Œæ”¹ç”¨"å‡åº"æ’入法，ä¿è¯æ’入的弧是"å‡åº"的。 + * 但åŒæ—¶ï¼Œè¿™æ ·åšä¼šä½¿"æ’å…¥"算法å˜å¾—较为å¤æ‚。 + */ +static Status CreateDG(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘图的弧数："); + scanf("%d", &arcnum); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * å½•å…¥å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(OLGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(OLGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.xlist[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(OLGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // 指定的顶点ä¸å­˜åœ¨ + } + + return G.xlist[v].data; +} + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(OLGraph G, VertexType v) { + int k; + ArcBox* r; + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + k = LocateVex(G, v); + if(k == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + r = G.xlist[k].firstout; + if(r == NULL) { + return -1; + } else { + return r->headvex; + } +} + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(OLGraph G, VertexType v, VertexType w) { + int kv, kw; + ArcBox* r; + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + // 首先需è¦åˆ¤æ–­è¯¥é¡¶ç‚¹æ˜¯å¦å­˜åœ¨ + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // 指定的顶点ä¸å­˜åœ¨ + } + + r = G.xlist[kv].firstout; + if(r == NULL) { + return -1; // 链表为空 + } + + // 在链表中查找w + while(r != NULL && r->headvex < kw) { + r = r->tlink; + } + + // 如果没找到w + if(r == NULL) { + return -1; + } + + // 如果找到了w，但是wåŽé¢æ²¡æœ‰åˆ«çš„顶点，那么也无法返回邻接点 + if(r->headvex == kw && r->tlink != NULL) { + return r->tlink->headvex; + } + + return -1; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info) { + ArcBox* p = (ArcBox*) malloc(sizeof(ArcBox)); + if(!p) { + exit(OVERFLOW); + } + + p->tailvex = tailvex; + p->headvex = headvex; + + p->hlink = hlink; + p->tlink = tlink; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcBox* p; + ArcBox* pre; + ArcBox* r; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + + // 在横å‘链表上查找åˆé€‚çš„æ’å…¥ä½ç½® + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->xlist[tail].firstout; + while(r != NULL && r->headvex < head) { + pre = r; + r = r->tlink; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->headvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + p = newArcBoxPtr(tail, head, NULL, r, info); + + if(pre == NULL) { + G->xlist[tail].firstout = p; + } else { + pre->tlink = p; + } + } + + // 如果没有å‘生覆盖，说明æ’入了新结点，此时需è¦è€ƒè™‘其在纵å‘链表上的ä½ç½® + if(overlay == FALSE) { + // 在纵å‘链表上查找åˆé€‚çš„æ’å…¥ä½ç½® + pre = NULL; + // 指å‘以head为头的首æ¡è¾¹/弧 + r = G->xlist[head].firstin; + while(r != NULL && r->tailvex < tail) { + pre = r; + r = r->hlink; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->tailvex == tail) { + // ä¸ä¼šæ‰§è¡Œåˆ°è¿™é‡Œï¼Œå› ä¸ºå¦‚æžœå‘生了覆盖，å‰é¢è¿›ä¸æ¥ + } else { + /* 至此，结点på·²ç»å­˜åœ¨äº† */ + + if(pre == NULL) { + p->hlink = G->xlist[head].firstin; + G->xlist[head].firstin = p; + } else { + p->hlink = pre->hlink; + pre->hlink = p; + } + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 深度优先é历(此处借助递归实现) + */ +void DFSTraverse(OLGraph G, Status(Visit)(VertexType)) { + int v; + + // 使用全局å˜é‡VisitFunc，使得DFSä¸å¿…设置函数指针å‚æ•° + VisitFunc = Visit; + + // 访问标志数组åˆå§‹åŒ– + for(v = 0; v < G.vexnum; v++) { + visited[v] = FALSE; + } + + // 此处需è¦é历的原因是并ä¸èƒ½ä¿è¯æ‰€æœ‰é¡¶ç‚¹éƒ½è¿žæŽ¥åœ¨äº†ä¸€èµ· + for(v = 0; v < G.vexnum; v++) { + if(!visited[v]) { + DFS(G, v); // 对尚未访问的顶点调用DFS + } + } +} + +/* + * 深度优先é历核心函数 + */ +static void DFS(OLGraph G, int v) { + int w; + + // 从第v个顶点出å‘递归地深度优先é历图G + visited[v] = TRUE; + + // 访问第v个顶点 + VisitFunc(G.xlist[v].data); + + for(w = FirstAdjVex(G, G.xlist[v].data); + w >= 0; + w = NextAdjVex(G, G.xlist[v].data, G.xlist[w].data)) { + if(!visited[w]) { + DFS(G, w); // 对尚未访问的顶点调用DFS + } + } +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(OLGraph G) { + int i, head; + ArcBox* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.xlist[i].data); + + head = 0; + p = G.xlist[i].firstout; + + while(p != NULL) { + if(head < p->headvex) { + if(IncInfo == 0) { + printf(" "); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf(" "); + } + } else { + if(IncInfo == 0) { + printf("<%c, %c>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("<%c, %c, %2d>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data, p->info->weight); + } + + p = p->tlink; + } + + head++; + + if(p != NULL) { + printf(" "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.31/OLGraph.h b/CLion/ExerciseBook/07.31/OLGraph.h new file mode 100644 index 0000000..9a9dc81 --- /dev/null +++ b/CLion/ExerciseBook/07.31/OLGraph.h @@ -0,0 +1,175 @@ +/*==================== + * 图的å字链表存储表示 + * + * 包å«ç®—法: 7.3 + ====================*/ + +#ifndef OLGRAPH_H +#define OLGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨æœ‰å‘图。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcBox { + int tailvex; // 弧头顶点ä½ç½® + int headvex; // 弧尾顶点ä½ç½® + struct ArcBox* hlink; // 指å‘下一个拥有相åŒå¼§å¤´çš„弧 + struct ArcBox* tlink; // 指å‘下一个拥有相åŒå¼§å°¾çš„弧 + InfoType* info; // è¯¥å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +} ArcBox; + +// æ¯ä¸ªæ¨ªå‘链表的头结点 +typedef struct VexNode { + VertexType data; // 顶点 + ArcBox* firstin; // 指å‘该顶点的第一æ¡å…¥å¼§ + ArcBox* firstout; // 指å‘该顶点的第一æ¡å‡ºå¼§ +} VexNode; + +/* 图的å字链表存储表示类型定义 */ +typedef struct { + VexNode xlist[MAX_VERTEX_NUM]; // 表头å‘é‡ + int vexnum, arcnum; // 顶点数和弧数 + GraphKind kind; // 图的类型标志 +} OLGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(OLGraph* G, char* path[]); + +/* + * ████████ 算法7.3 ████████ + * + * 构造有å‘图 + * + * 注： + * æ•™æ中使用了头æ’法æ¥æ’入弧，这ç§åšæ³•çš„唯一优点是æ’入方便， + * 但是在涉åŠåˆ°åˆ é™¤æˆ–查找时，效率较低； + * 而且，"头æ’法"ä¾èµ–输入的顺åºï¼Œå¦‚果输入的边/弧是乱åºçš„， + * 则最终构造出的图/网中的边/弧也是无åºçš„。 + * + * 为了克æœä»¥ä¸Šç¼ºç‚¹ï¼Œè¿™é‡Œæ”¹ç”¨"å‡åº"æ’入法，ä¿è¯æ’入的弧是"å‡åº"的。 + * 但åŒæ—¶ï¼Œè¿™æ ·åšä¼šä½¿"æ’å…¥"算法å˜å¾—较为å¤æ‚。 + */ +static Status CreateDG(OLGraph* G); + +/* + * å½•å…¥å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(OLGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(OLGraph G, VertexType u); + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(OLGraph G, int v); + +/* + * 首个邻接点 + * + * 返回顶点v的首个邻接点 + */ +int FirstAdjVex(OLGraph G, VertexType v); + +/* + * 下一个邻接点 + * + * 返回顶点vçš„(相对于wçš„)下一个邻接点 + */ +int NextAdjVex(OLGraph G, VertexType v, VertexType w); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...); + +/* + * 深度优先é历(此处借助递归实现) + */ +void DFSTraverse(OLGraph G, Status(Visit)(VertexType)); + +/* + * 深度优先é历核心函数 + */ +static void DFS(OLGraph G, int v); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(OLGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.31/StronglyConnectedComponents.c b/CLion/ExerciseBook/07.31/StronglyConnectedComponents.c new file mode 100644 index 0000000..c1b141b --- /dev/null +++ b/CLion/ExerciseBook/07.31/StronglyConnectedComponents.c @@ -0,0 +1,262 @@ +/*================== + * 有å‘å›¾çš„å¼ºè¿žé€šåˆ†é‡ + ===================*/ + +#include "StronglyConnectedComponents.h" + + +/* 全局å˜é‡ */ +static int count; // 对访问过的结点计数 + +// Kosaraju算法 +static Boolean visited[MAX_VERTEX_NUM]; // 访问标志数组，记录访问过的顶点 +static int finished[MAX_VERTEX_NUM]; // 存储深度优先é历中访问到的元素 + +// Tarjan算法 +static int dfs[MAX_VERTEX_NUM]; // 深度优先é历时ä¾æ¬¡è®¿é—®åˆ°çš„元素(çš„åºå·) +static int low[MAX_VERTEX_NUM]; // low[v] ==> 元素vå¯ä»¥å›žæº¯åˆ°çš„最早祖先 +static int stack[MAX_VERTEX_NUM]; // 存储é历过程中é‡åˆ°çš„结点 + + +/* + * (1) Tarjan算法求å–å¼ºè¿žé€šåˆ†é‡ + * + * 核心æ€æƒ³æ˜¯æ·±åº¦ä¼˜å…ˆé历+回溯，与本章第8节求关节点的算法有类似之处 + */ +void Tarjan(OLGraph G) { + int i; + + count = -1; // åˆå§‹åŒ–计数 + + // åˆå§‹åŒ–顶点为尚未访问 + for(i = 0; i < G.vexnum; i++) { + dfs[i] = -1; + low[i] = -1; + } + + printf("打å°å½“å‰æœ‰å‘图中的å„组强连通分é‡ï¼š\n"); + + for(i = 0; i < G.vexnum; i++) { + if(dfs[i] == -1) { + DFS_Tarjan(G, i); + } + } +} + +/* + * 深度优先é历顶点vå¯è¾¾çš„所有元素，并å°è¯•æ‰¾å‡ºå…¶ä¸­çš„å¼ºè¿žé€šåˆ†é‡ + */ +static void DFS_Tarjan(OLGraph G, int v) { + int min; + int w; + int i; + + ++count; + + // è®°å½•è®¿é—®æ¬¡åº + dfs[v] = min = count; + + // 记录é‡åˆ°çš„结点 + stack[count] = v; + + // 深度é历v起始的图 + for(w = FirstAdjVex(G, G.xlist[v].data); w >= 0; w = NextAdjVex(G, G.xlist[v].data, G.xlist[w].data)) { + // 如果w结点未访问 + if(dfs[w] == -1) { + DFS_Tarjan(G, w); // 对尚未访问的顶点调用DFS + + if(low[w] < min) { + min = low[w]; + } + + // é‡åˆ°å·²è®¿é—®è¿‡çš„结点 + } else { + // 如果w已被访问过，且w是v在生æˆæ ‘上的祖先 + if(dfs[w] < min) { + min = dfs[w]; + } + } + } + + // 如果"祖先"结点还没有确定回溯祖先，则åªè®°å½•"祖先"ç»“ç‚¹ä¸Šçš„è®¿é—®æ¬¡åº + if(low[stack[min]]==-1) { + low[v] = min; + } else { + // 获å–"祖先"结点上的å¯å›žæº¯ç¥–å…ˆ + low[v] = low[stack[min]]; + } + + // 获å–当å‰å·²æœç´¢åˆ°çš„强连通å­é›† + if(low[v] == dfs[v]) { + for(i = count; i >= 0; i--) { + if(low[stack[i]] == dfs[v]) { + printf("%c ", GetVex(G, stack[i])); + count--; + } else { + break; + } + } + printf("\n"); + } +} + + +/* + * (2) Kosaraju算法求å–强连通分é‡ï¼Œè¿™æ˜¯æ•™æ中æ到的算法 + * + * 核心æ€æƒ³æ˜¯ï¼š + * 1.从æŸé¡¶ç‚¹å‡ºå‘，深度é历有å‘图，得到一个访问åºåˆ—ï¼› + * 2.逆置有å‘图； + * 3.é历上é¢å¾—出的访问åºåˆ—，对其中的æ¯ä¸ªé¡¶ç‚¹è¿›è¡Œæ·±åº¦ä¼˜å…ˆé历。 + */ +void Kosaraju(OLGraph G) { + int i, v; + + count = 0; // åˆå§‹åŒ–计数 + + // 1.从æŸé¡¶ç‚¹å‡ºå‘，深度é历有å‘图，得到一个访问åºåˆ— + DFSTraverse(G, StoreElem); + + // 2.逆置有å‘图 + InverseGraph(&G); + + // 访问标志数组åˆå§‹åŒ– + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + printf("打å°å½“å‰æœ‰å‘图中的å„组强连通分é‡ï¼š\n"); + + // 3.é历上é¢å¾—出的访问åºåˆ—，对其中的æ¯ä¸ªé¡¶ç‚¹è¿›è¡Œæ·±åº¦ä¼˜å…ˆé历 + for(i = 0; i < count; i++) { + v = LocateVex(G, finished[i]); + + if(visited[v] == TRUE) { + continue; + } + + DFS_Inverse(G, v); + printf("\n"); + } +} + +/* + * 逆置有å‘图（å字链表存储结构），å³å°†æ‰€æœ‰å¼§çš„æ–¹å‘逆置 + * + * 核心æ€æƒ³æ˜¯ï¼š + * 1.创建一个ä¸åŒ…å«ä»»ä½•å¼§çš„空图； + * 2.ä¾æ¬¡é历æ¯ä¸ªé¡¶ç‚¹çš„æ¯æ¡å…¥å¼§ï¼› + * 3.摘下é‡åˆ°çš„入弧，将其æ’入到空图中å˜æˆå‡ºå¼§ã€‚ + */ +static void InverseGraph(OLGraph* G) { + OLGraph newG = *G; + int i; + ArcBox* r; + ArcBox* pre, * p; + int tmp; + + for(i = 0; i < newG.vexnum; i++) { + newG.xlist[i].firstin = NULL; + newG.xlist[i].firstout = NULL; + } + + for(i = 0; i < (*G).vexnum; i++) { + while((*G).xlist[i].firstin != NULL) { + // 摘下é‡åˆ°çš„指å‘顶点i的入弧 + r = (*G).xlist[i].firstin; + (*G).xlist[i].firstin = r->hlink; + + // é€†ç½®å¼§çš„æ–¹å‘ + tmp = r->headvex; + r->headvex = r->tailvex; + r->tailvex = tmp; + + r->hlink = NULL; + r->tlink = NULL; + + // æ’入到新图的纵å‘上 + pre = newG.xlist[r->headvex].firstin; + if(pre == NULL) { + newG.xlist[r->headvex].firstin = r; + } else { + if(r->tailvex < pre->tailvex) { + r->hlink = newG.xlist[r->headvex].firstin; + newG.xlist[r->headvex].firstin = r; + } else if(r->tailvex > pre->tailvex) { + p = pre->hlink; + + while(p != NULL && r->tailvex > p->tailvex) { + pre = p; + p = p->hlink; + } + + if(p == NULL || r->tailvex < p->tailvex) { + r->hlink = p; + pre->hlink = r; + } + } else { + // 等于时ä¸å¤„ç† + } + } + + // æ’入到新图的横å‘上 + pre = newG.xlist[r->tailvex].firstout; + if(pre == NULL) { + newG.xlist[r->tailvex].firstout = r; + } else { + if(r->headvex < pre->headvex) { + r->tlink = newG.xlist[r->tailvex].firstout; + newG.xlist[r->tailvex].firstout = r; + } else if(r->headvex > pre->headvex) { + p = pre->tlink; + + while(p != NULL && r->headvex > p->headvex) { + pre = p; + p = p->tlink; + } + + if(p == NULL || r->headvex < p->headvex) { + r->tlink = p; + pre->tlink = r; + } + } else { + // 等于时ä¸å¤„ç† + } + } + } + } + + *G = newG; +} + +/* + * 存储深度优先é历中访问到的元素 + */ +static Status StoreElem(VertexType c) { + finished[count++] = c; + return OK; +} + +/* + * 深度é历已ç»é€†ç½®åŽçš„图 + */ +static void DFS_Inverse(OLGraph G, int v) { + int w; + + // 如果已访问过，直接返回 + if(visited[v] == TRUE) { + return; + } + + // 从第v个顶点出å‘递归地深度优先é历图G + visited[v] = TRUE; + + // 打å°è®¿é—®åˆ°çš„顶点 + printf("%c ", GetVex(G, v)); + + for(w = FirstAdjVex(G, G.xlist[v].data); + w >= 0; + w = NextAdjVex(G, G.xlist[v].data, G.xlist[w].data)) { + DFS_Inverse(G, w); // 对尚未访问的顶点调用DFS + } +} diff --git a/CLion/ExerciseBook/07.31/StronglyConnectedComponents.h b/CLion/ExerciseBook/07.31/StronglyConnectedComponents.h new file mode 100644 index 0000000..140e9a8 --- /dev/null +++ b/CLion/ExerciseBook/07.31/StronglyConnectedComponents.h @@ -0,0 +1,56 @@ +/*================== + * 有å‘å›¾çš„å¼ºè¿žé€šåˆ†é‡ + ===================*/ + +#ifndef STRONGLYCONNECTEDCOMPONENTS_H +#define STRONGLYCONNECTEDCOMPONENTS_H + +#include +#include "OLGraph.h" //**â–²07 图**// + +/* + * (1) Tarjan算法 + * + * 求å–有å‘å›¾çš„å¼ºè¿žé€šåˆ†é‡ + */ +void Tarjan(OLGraph G); + +/* + * 深度优先é历顶点vå¯è¾¾çš„所有元素，并å°è¯•æ‰¾å‡ºå…¶ä¸­çš„å¼ºè¿žé€šåˆ†é‡ + */ +static void DFS_Tarjan(OLGraph G, int v); + + +/* + * (2) Kosaraju算法 + * + * 求å–有å‘图的强连通分é‡ï¼Œè¿™æ˜¯æ•™æ中æ到的算法 + * + * 核心æ€æƒ³æ˜¯ï¼š + * 1.从æŸé¡¶ç‚¹å‡ºå‘，深度é历有å‘图，得到一个访问åºåˆ—ï¼› + * 2.逆置有å‘图； + * 3.é历上é¢å¾—出的访问åºåˆ—，对其中的æ¯ä¸ªé¡¶ç‚¹è¿›è¡Œæ·±åº¦ä¼˜å…ˆé历。 + */ +void Kosaraju(OLGraph G); + +/* + * 逆置有å‘图（å字链表存储结构），å³å°†æ‰€æœ‰å¼§çš„æ–¹å‘逆置 + * + * 核心æ€æƒ³æ˜¯ï¼š + * 1.创建一个ä¸åŒ…å«ä»»ä½•å¼§çš„空图； + * 2.ä¾æ¬¡é历æ¯ä¸ªé¡¶ç‚¹çš„æ¯æ¡å…¥å¼§ï¼› + * 3.摘下é‡åˆ°çš„入弧，将其æ’入到空图中å˜æˆå‡ºå¼§ã€‚ + */ +static void InverseGraph(OLGraph *G); + +/* + * 存储深度优先é历中访问到的元素 + */ +static Status StoreElem(VertexType c); + +/* + * 深度é历已ç»é€†ç½®åŽçš„图，仅é™å†…部使用 + */ +static void DFS_Inverse(OLGraph G, int v); + +#endif diff --git a/CLion/ExerciseBook/07.31/TestData_DG.txt b/CLion/ExerciseBook/07.31/TestData_DG.txt new file mode 100644 index 0000000..6a0b63b --- /dev/null +++ b/CLion/ExerciseBook/07.31/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→23 +弧数→32 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L，M，N，O，P，Q，R，S，T，U，V，W】 +弧的集åˆâ†’ã€A，B】ã€B，D】ã€D，A】ã€B，C】ã€C，E】ã€E，F】ã€F，C】ã€C，G】ã€G，C】ã€E，U】ã€U，V】ã€V，W】ã€W，C】ã€V，E】ã€D，O】ã€D，I】ã€O，I】ã€I，J】ã€J，N】ã€N，O】ã€J，H】ã€N，R】ã€R，Q】ã€Q，R】ã€A，L】ã€L，M】ã€M，K】ã€K，L】ã€P，S】ã€S，P】ã€P，T】ã€T，S】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.32/07.32.c b/CLion/ExerciseBook/07.32/07.32.c new file mode 100644 index 0000000..5a5a38b --- /dev/null +++ b/CLion/ExerciseBook/07.32/07.32.c @@ -0,0 +1,46 @@ +#include +#include "CSTree.h" +#include "ALGraph.h" +#include "MinimumSpanningTree.h" + +/* + * 求无å‘网的最å°ç”Ÿæˆæ£®æž— + */ +void Algo_7_32(ALGraph G); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("████████ 创建并打å°æ— å‘网... \n"); + { + char* path[4]; + + path[0] = ""; + path[1] = ""; + path[2] = ""; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + } + PressEnterToContinue(debug); + + printf("████████ 使用普里姆算法获å–最å°ç”Ÿæˆæ£®æž—... \n"); + { + Algo_7_32(G); + } + PressEnterToContinue(debug); + +} + + +/* + * 求无å‘网的最å°ç”Ÿæˆæ£®æž— + */ +void Algo_7_32(ALGraph G) { + CSTree T = MinSpanTree_PRIM(G); + + // 输出求å–的最å°ç”Ÿæˆæ£®æž—，此步骤å¯é€‰ + PrintTree(T); +} diff --git a/CLion/ExerciseBook/07.32/07.32.png b/CLion/ExerciseBook/07.32/07.32.png new file mode 100644 index 0000000000000000000000000000000000000000..efa1f3f0fdd5da47688fe5366d058d26e043cc72 GIT binary patch literal 14783 zcmYj&bzGEB^e)}8#1hg-E+rwUbT`YYNJilNl2%F0@AURfHWu} z;eGY{``vs0*bnUc&d!{fIp@qd&v_VR;U`W9< zloep!<_G!yh74*8hqtyjw5xr8&K{qV7G{{edd;bJKEm2yEw^Cg$(upRr@%m6V&)!K zKjWj{zsX8N$p;=mj`Z63_{~u#YNaQIzY(4qa=Rbxvs4|ZL`=O zA!G{!kuowd9V{?1GsiSr5hK~z_K%KAls(&)RZD_DdB=P8{ZWVR{CeBckgr=l?^N)% zQ2DYjtgfNKuv!o~C1G!8_x*c7>V#0wEfd2Cq)K~MQAEF z!nuU=Z@fYn4-*5mjvpnW{6!z}2jVq-k?f1iSIEp|A!M%1`&oRZOD=C7<@)NGHz&4~ zG!;+d2O#VX+tpi$#Lm>iammFMpNvskzI46yNx@QBA91ZhRJ1(B#|(k 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Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + // ★★★此处固定为无å‘图 + kind = 3; + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造无å‘网 + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入无å‘网的顶点数："); + scanf("%d", &vexnum); + printf("请输入无å‘网的边数："); + scanf("%d", &arcnum); + printf("该无å‘网的边上必须包å«å…¶ä»–附加信æ¯ï¼Œå› ä¸ºæ­¤å¤„çš„æƒå€¼éœ€è¦å­˜å‚¨åˆ°é™„加信æ¯ä¸­...\n"); + IncInfo = 1; + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入边数 + ReadData(fp, "%d", &IncInfo);// 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + IncInfo = 1; // 强制将æƒå€¼å½•å…¥åˆ°é™„加信æ¯ä¸­ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为无å‘网ä¾æ¬¡å½•å…¥ %d æ¡è¾¹(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„加信æ¯(此处需è¦å½•å…¥ç½‘çš„æƒå€¼) + Input(*G, &info); + } + + // æ’入边 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.32/ALGraph.h b/CLion/ExerciseBook/07.32/ALGraph.h new file mode 100644 index 0000000..60f9bd1 --- /dev/null +++ b/CLion/ExerciseBook/07.32/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造无å‘网 + */ +static Status CreateUDN(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.32/CMakeLists.txt b/CLion/ExerciseBook/07.32/CMakeLists.txt new file mode 100644 index 0000000..a5b0a1e --- /dev/null +++ b/CLion/ExerciseBook/07.32/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.32 CSTree.h CSTree.c MFSet.h MFSet.c ALGraph.h ALGraph.c MinimumSpanningTree.h MinimumSpanningTree.c 07.32.c) +# 链接公共库 +target_link_libraries(07.32 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.32/CSTree.c b/CLion/ExerciseBook/07.32/CSTree.c new file mode 100644 index 0000000..f2a7635 --- /dev/null +++ b/CLion/ExerciseBook/07.32/CSTree.c @@ -0,0 +1,76 @@ +/*=================================== + * 树的二å‰é“¾è¡¨ï¼ˆå­©å­-兄弟）结构存储表示 + ====================================*/ + +#include "CSTree.h" + +int count = 0; + +/* + * åˆå§‹åŒ– + * + * 构造空树。 + */ +Status InitTree(CSTree* T) { + if(T == NULL) { + return ERROR; + } + + *T = NULL; + + return OK; +} + +/* + * 判空 + * + * 判断树是å¦ä¸ºç©ºæ ‘。 + */ +Status TreeEmpty(CSTree T) { + return T == NULL ? TRUE : FALSE; +} + + +/*â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”┠图形化输出 â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”*/ + +// 以图形化形å¼è¾“出当å‰ç»“æž„ +void PrintTree(CSTree T) { + + // é‡åˆ°ç©ºæ ‘则无需继续计算 + if(TreeEmpty(T)) { + printf("\n"); + return; + } + + Print(T, 0); + + printf("\n"); +} + +// 图形化输出当å‰ç»“构内部实现 +static void Print(CSTree T, int row) { + int k; + + if(T == NULL) { + return; + } + + if(row==0) { + printf("\n第 %d 棵树...\n", ++count); + } + + // 访问当å‰ç»“点 + printf("%c ", T->data); + + Print(T->firstchild, row + 1); + + if(T->nextsibling != NULL) { + printf("\n"); + + for(k = 0; k < row; k++) { + printf(". "); + } + + Print(T->nextsibling, row); + } +} diff --git a/CLion/ExerciseBook/07.32/CSTree.h b/CLion/ExerciseBook/07.32/CSTree.h new file mode 100644 index 0000000..a44e6fa --- /dev/null +++ b/CLion/ExerciseBook/07.32/CSTree.h @@ -0,0 +1,54 @@ +/*=================================== + * 树的二å‰é“¾è¡¨ï¼ˆå­©å­-兄弟）结构存储表示 + ====================================*/ + +#ifndef CSTREE_H +#define CSTREE_H + +#include +#include // æä¾› mallocã€free 原型 +#include // æä¾› memsetã€strcmp 原型 +#include "Status.h" //**â–²01 绪论**// +#include "ALGraph.h" + +/* å•ä¸ªç»“点最大的孩å­æ•°é‡ */ +#define MAX_CHILD_COUNT 8 + +/* 树的元素类型定义，这里å‡è®¾å…¶å…ƒç´ ç±»åž‹ä¸ºchar */ +typedef char TElemType; + +/* (å­©å­-兄弟)树的结点定义 */ +typedef struct CSNode { + TElemType data; + struct CSNode* firstchild; // 指å‘é•¿å­ + struct CSNode* nextsibling; // 指å‘å³å…„弟 +} CSNode; + +/* (å­©å­-兄弟)树类型定义 */ +typedef CSNode* CSTree; + + +/* + * åˆå§‹åŒ– + * + * 构造空树。 + */ +Status InitTree(CSTree* T); + +/* + * 判空 + * + * 判断树是å¦ä¸ºç©ºæ ‘。 + */ +Status TreeEmpty(CSTree T); + + +/*â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”┠图形化输出 â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”*/ + +// 以图形化形å¼è¾“出当å‰ç»“æž„ +void PrintTree(CSTree T); + +// 图形化输出当å‰ç»“构内部实现 +static void Print(CSTree T, int row); + +#endif diff --git a/CLion/ExerciseBook/07.32/MFSet.c b/CLion/ExerciseBook/07.32/MFSet.c new file mode 100644 index 0000000..2ee2468 --- /dev/null +++ b/CLion/ExerciseBook/07.32/MFSet.c @@ -0,0 +1,93 @@ +/*===== + * é›†åˆ + ======*/ + +#include "MFSet.h" + +/* + * åˆå§‹åŒ–一个由多个å­é›†ï¼ˆæ¯ä¸ªå­é›†åªåŒ…å«å•ä¸ªæˆå‘˜ï¼‰æž„æˆçš„集åˆS。 + * + * + *ã€å¤‡æ³¨ã€‘ + * + * 这里对第6ç« çš„MFSetåšäº†æ”¹åŠ¨ï¼š + * 1.直接在å‚数中传入å­é›†æ•°é‡ + * 2.å­é›†ç¼–å·ä»Ž0开始计数，这会影å“到åŽé¢çš„函数中关于下标的判断 + */ +Status initial_mfset(MFSet* S, int n) { + int i; + + if(n <= 0) { + return ERROR; + } + + S->n = n; + S->r = 0; // 第一个å­é›†çš„ä½ç½®åœ¨0å·å•å…ƒ + + // å­é›†ç¼–å·ä»Ž0开始计数 + for(i = 0; i < n; i++) { + S->nodes[i].parent = -1; + } + + return OK; +} + +/* + * 求两个互ä¸ç›¸äº¤çš„å­é›†Siå’Œå­é›†Sj的并集。 + */ +Status merge_mfset(MFSet* S, int i, int j) { + + // 索引越界 + if(i < 0 || i > S->n - 1 || j < 0 || j > S->n - 1) { + return ERROR; + } + + // 相åŒçš„å­é›†æ— éœ€åˆå¹¶ï¼Œç›´æŽ¥è¿”回 + if(i == j) { + return OK; + } + + S->nodes[i].parent = j; + + return OK; +} + +/* + * 在集åˆS中查找元素i当å‰æ‰€å±žçš„å­é›†ã€‚ + */ +int find_mfset(MFSet S, int i) { + int j; + + // 索引越界 + if(i < 0 || i > S.n - 1) { + return -1; + } + + // 查找i所属的å­é›†çš„根结点 + for(j = i; S.nodes[j].parent >= 0; j = S.nodes[j].parent) { + // 从下往上查找 + } + + return j; +} + +/* + * æ ¹æ®ç­‰ä»·å…³ç³»Ræ¥æ•´ç†/建立集åˆS中的元素(å­é›†)。 + */ +Status build_mfset(MFSet* S, Relation R) { + int k; + int i, j; + + for(k = 0; k < R.n; k++) { + // 先获å–å­é›†æ ¹ç»“点 + i = find_mfset(*S, R.pairs[k].i); + j = find_mfset(*S, R.pairs[k].j); + + // 对两个互ä¸ç›¸äº¤çš„å­é›†è¿›è¡Œå½’并 + if(!merge_mfset(S, i, j)) { + return ERROR; + } + } + + return OK; +} diff --git a/CLion/ExerciseBook/07.32/MFSet.h b/CLion/ExerciseBook/07.32/MFSet.h new file mode 100644 index 0000000..a1369a0 --- /dev/null +++ b/CLion/ExerciseBook/07.32/MFSet.h @@ -0,0 +1,92 @@ +/*===== + * é›†åˆ + ======*/ + +#ifndef MFSET_H +#define MFSET_H + +#include +#include // æä¾› mallocã€free 原型 +#include // æä¾› memsetã€strcmp 原型 +#include // +#include "Status.h" //**â–²01 绪论**// + +/* 树的最大结点数，这里指示å­é›†æœ€å¤§æ•°é‡ */ +#define MAX_TREE_SIZE 1024 + +/* äºŒå…ƒå…³ç³»å¯¹æ•°é‡ */ +#define MAX_PAIR_SIZE 100 + +/* + * (åŒäº²)树的结点定义 + * + *ã€æ³¨ã€‘ + * 1.ä¾ç…§æ•™æ的图示，åŒäº²æ ‘在集åˆçš„应用中，其模型已被简化：å³åŒäº²ç»“点ä¸å†ä¿ç•™æ•°æ®åŸŸã€‚ + * 2.结点的索引用æ¥è¡¨ç¤ºå®ƒæ˜¯å“ªä¸€ä¸ªå­é›†ï¼Œå®ƒä¼šä½œä¸ºæ›´å¤§å­é›†çš„一个元素存在。 + * 3.确定æŸä¸ªå­é›†å±žäºŽS中哪个更大的å­é›†æ—¶ï¼Œéœ€è¦å‘上追溯到更大å­é›†çš„根。 + * 4.实际使用中，æ¯ä¸ªå­é›†ä¼šåŒ…å«å¾ˆå¤šæ•°æ®å…ƒç´ ï¼Œæ­¤æ—¶å¯ä»¥å°†æ¯ä¸ªæ•°æ®å…ƒç´ ä¸Žå…¶æ‰€å±žçš„å­é›†å»ºç«‹å…³è”关系 + * å³æŠŠæ¯ä¸ªæ•°æ®å…ƒç´ ä¸Žé›†åˆS中å„结点的索引关è”èµ·æ¥ + */ +typedef struct PTNode { + int parent; // åŒäº²ä½ç½®åŸŸï¼Œç”¨æ¥æŒ‡ç¤ºè¯¥ç»“点所属的å­é›† +} PTNode; + +/* + * (åŒäº²)树类型定义 + * + *ã€æ³¨ã€‘ + * 1.树中结点在nodes中"紧邻"存储，没有空隙 + * 2.当å­é›†å­˜åœ¨æ—¶ï¼Œæ ‘æ ¹r设置为1，å¦åˆ™ï¼Œæ ‘æ ¹r设置为0 + * 3.除根结点外，其他结点ä¾æ¬¡æŒ‰å±‚åºé¡ºç€æ ¹ç»“点往下排列 + * 5.这里å‡è®¾nodes空间是足够大的，å¯ä»¥è§†éœ€æ±‚将其改为动æ€åˆ†é…存储 + */ +typedef struct { + PTNode nodes[MAX_TREE_SIZE]; // 存储树中结点 + int r; // æ ‘æ ¹ä½ç½®(索引)，这里用æ¥æŒ‡ç¤ºç¬¬ä¸€ä¸ªå­é›†çš„ä½ç½® + int n; // 树的结点数，这里用æ¥æŒ‡ç¤ºæ‰€æœ‰ +} PTree; + +/* 集åˆç±»åž‹å®šä¹‰ */ +typedef PTree MFSet; + +/* å•ä¸ªäºŒå…ƒå…³ç³»å¯¹ */ +typedef struct { + int i; + int j; +} Pair; + +/* 集åˆå†…的等价关系 */ +typedef struct { + Pair pairs[MAX_PAIR_SIZE]; // 足够大的空间存储二元关系 + int n; // å·²çŸ¥çš„ç­‰ä»·å…³ç³»æ•°é‡ +} Relation; + + +/* + * åˆå§‹åŒ–一个由多个å­é›†ï¼ˆæ¯ä¸ªå­é›†åªåŒ…å«å•ä¸ªæˆå‘˜ï¼‰æž„æˆçš„集åˆS。 + * + * + *ã€å¤‡æ³¨ã€‘ + * + * 这里对第6ç« çš„MFSetåšäº†æ”¹åŠ¨ï¼š + * 1.直接在å‚数中传入å­é›†æ•°é‡ + * 2.å­é›†ç¼–å·ä»Ž0开始计数，这会影å“到åŽé¢çš„函数中关于下标的判断 + */ +Status initial_mfset(MFSet* S, int n); + +/* + * 求两个互ä¸ç›¸äº¤çš„å­é›†Siå’Œå­é›†Sj的并集。 + */ +Status merge_mfset(MFSet* S, int i, int j); + +/* + * 在集åˆS中查找元素i当å‰æ‰€å±žçš„å­é›†ã€‚ + */ +int find_mfset(MFSet S, int i); + +/* + * æ ¹æ®ç­‰ä»·å…³ç³»Ræ¥æ•´ç†/建立集åˆS中的元素(å­é›†)。 + */ +Status build_mfset(MFSet* S, Relation R); + +#endif diff --git a/CLion/ExerciseBook/07.32/MinimumSpanningTree.c b/CLion/ExerciseBook/07.32/MinimumSpanningTree.c new file mode 100644 index 0000000..bdc1cb5 --- /dev/null +++ b/CLion/ExerciseBook/07.32/MinimumSpanningTree.c @@ -0,0 +1,118 @@ +/*=================== + * æ— å‘网的最å°ç”Ÿæˆæ£®æž— + ===================*/ + +#include "MinimumSpanningTree.h" + +/* + * 普里姆算法中用到的辅助数组， + * 用æ¥è®°å½•ä»Žé¡¶ç‚¹å­é›†U到顶点å­é›†V-U的代价最å°çš„è¾¹ + */ +static struct { + VertexType adjvex; // 顶点å­é›†U中的顶点 + int lowcost; // 顶点å­é›†V-U到当å‰é¡¶ç‚¹adjvex的边的æƒå€¼ +} closedge[MAX_VERTEX_NUM]; // 辅助数组 + + +/* + * 使用普里姆算法构造无å‘网G的最å°ç”Ÿæˆæ£®æž— + */ +CSTree MinSpanTree_PRIM(ALGraph G) { + int i, j, k; + ArcNode* p; + CSTree r; + CSTree T = NULL; + CSTree curRoot = NULL; // 追踪森林中å­æ ‘的根结点 + CSTree parent[MAX_VERTEX_NUM] = {NULL}; // 追踪å„顶点在森林中的ä½ç½®(用指针指å‘该顶点) + + // 辅助数组åˆå§‹åŒ–：åˆå§‹åŒ–所有æƒå€¼ä¸º0 + for(j=0; jfirstchild = r->nextsibling = NULL; + + // 出现了新的å­æ ‘ + if(k==-1) { + printf("----------\n"); + + // 确定森林中å­æ ‘çš„æ ¹ + for(k=0; kdata = G.vertices[k].data; + parent[k] = r; + + if(curRoot==NULL) { + T = curRoot = r; + } else { + // 链接到森林中下一棵树 + curRoot->nextsibling = r; + curRoot = r; + } + + break; + } + } + } else { + r->data = G.vertices[k].data; + + // 获å–父结点在图中的åºå· + j = LocateVex(G, closedge[k].adjvex); + if(parent[j]->firstchild==NULL) { + parent[j]->firstchild = r; + } else { + // 直接采用头æ’法å³å¯ + r->nextsibling = parent[j]->firstchild->nextsibling; + parent[j]->firstchild->nextsibling = r; + } + + parent[k] = r; + + // 打å°é¡¶ç‚¹å’Œè¾¹çš„ä¿¡æ¯ + printf("%c --%2d-- %c\n", closedge[k].adjvex, closedge[k].lowcost, G.vertices[k].data); + } + + // 将顶点k加入到顶点å­é›†U + closedge[k].lowcost = 0; + + // 新顶点进入顶点å­é›†UåŽï¼Œéœ€è¦æ›´æ–°é¡¶ç‚¹å­é›†U与顶点å­é›†V-Uçš„è¾¹çš„ä¿¡æ¯ + for(p=G.vertices[k].firstarc; p!=NULL; p = p->nextarc) { + j = p->adjvex; + + if(p->info->weightinfo->weight; + } + } + } + + return T; +} + +/* + * 从顶点å­é›†V-U中选出下一个候选顶点以便åŽç»­åŠ å…¥åˆ°æœ€å°ç”Ÿæˆæ ‘ + * + * 选择顶点å­é›†U到顶点å­é›†V-Uçš„æƒå€¼æœ€å°çš„边， + * 并返回该边在顶点å­é›†V-U中那头的端点， + * 该端点åŽç»­ä¼šåŠ å…¥åˆ°é¡¶ç‚¹å­é›†U中，æˆä¸ºæœ€å°ç”Ÿæˆæ ‘的新结点。 + */ +static int minimum(ALGraph G) { + int i, k = -1; + int min = INT_MAX; + + // 从æƒå€¼ä¸ä¸º0的边中选择拥有最å°æƒå€¼çš„è¾¹ + for(i = 0; i < G.vexnum; i++) { + if(closedge[i].lowcost != 0 && closedge[i].lowcost < min) { + min = closedge[i].lowcost; + k = i; + } + } + + return k; +} diff --git a/CLion/ExerciseBook/07.32/MinimumSpanningTree.h b/CLion/ExerciseBook/07.32/MinimumSpanningTree.h new file mode 100644 index 0000000..8b92bf0 --- /dev/null +++ b/CLion/ExerciseBook/07.32/MinimumSpanningTree.h @@ -0,0 +1,30 @@ +/*=================== + * æ— å‘网的最å°ç”Ÿæˆæ£®æž— + ===================*/ + +#ifndef MINIMUMSPANNINGTREE_H +#define MINIMUMSPANNINGTREE_H + +#include +#include /* æä¾›INT_MAXå® */ +#include "MFSet.h" //**â–²06 树和二å‰æ ‘**// +#include "ALGraph.h" //**â–²07 图**// +#include "CSTree.h" //**â–²06 树和二å‰æ ‘**// + +/* + * 使用普里姆算法构造无å‘网G的最å°ç”Ÿæˆæ£®æž— + */ +CSTree MinSpanTree_PRIM(ALGraph G); + +/* + * 从顶点å­é›†V-U中选出下一个候选顶点以便åŽç»­åŠ å…¥åˆ°æœ€å°ç”Ÿæˆæ ‘ + * + * 选择顶点å­é›†U到顶点å­é›†V-Uçš„æƒå€¼æœ€å°çš„边， + * 并返回该边在顶点å­é›†V-U中那头的端点， + * 该端点åŽç»­ä¼šåŠ å…¥åˆ°é¡¶ç‚¹å­é›†U中，æˆä¸ºæœ€å°ç”Ÿæˆæ ‘的新结点。 + * + * 注：形å‚与教æ中给出的模æ¿æœ‰æ‰€ä¸åŒ + */ +static int minimum(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.32/TestData_UDN.txt b/CLion/ExerciseBook/07.32/TestData_UDN.txt new file mode 100644 index 0000000..8455e3c --- /dev/null +++ b/CLion/ExerciseBook/07.32/TestData_UDN.txt @@ -0,0 +1,6 @@ +图类型→3（无å‘网） +顶点数→13 +边数→13 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’1 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，M，N】 +边的集åˆâ†’ã€A，D，5】ã€A，B，1】ã€A，C，3】ã€A，N，7】ã€E，F，10】ã€G，I，1】ã€I，H，5】ã€G，J，2】ã€G，H，7】ã€D，K，4】ã€K，M，5】ã€K，N，2】ã€D，M，12】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.33/07.33.c b/CLion/ExerciseBook/07.33/07.33.c new file mode 100644 index 0000000..c5dade7 --- /dev/null +++ b/CLion/ExerciseBook/07.33/07.33.c @@ -0,0 +1,38 @@ +#include +#include "CSTree.h" +#include "MinimumSpanningTree.h" +#include "Graph.h" + +/* + * 求无å‘网的最å°ç”Ÿæˆæ ‘ + */ +void Algo_7_33(Graph G); + + +int main(int argc, char* argv[]) { + Graph G; + + printf("████████ 创建并打å°æ— å‘网... \n"); + { + CreateGraph(&G, "TestData_UDN.txt"); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 使用克é²æ–¯å¡å°”算法获å–最å°ç”Ÿæˆæ ‘... \n"); + { + Algo_7_33(G); + printf("\n"); + } +} + + +/* + * 求无å‘网的最å°ç”Ÿæˆæ ‘ + */ +void Algo_7_33(Graph G) { + CSTree T = MinSpanTree_KRUSKAL(G); + + // 输出求å–的最å°ç”Ÿæˆæ ‘，此步骤å¯é€‰ + PrintTree(T); +} diff --git a/CLion/ExerciseBook/07.33/07.33.png b/CLion/ExerciseBook/07.33/07.33.png new file mode 100644 index 0000000000000000000000000000000000000000..3c3b99a87eb5c3309a9d02b2686718cb859c314d GIT binary patch literal 34695 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z+O3Twmqba=;d4@$FVB(sBOsP{WCKIR{qv&hp?Aw>#6a}fYWB_-hl5rrZq8lQV*hw1 zGqN>!vCrKa&F|2NmOS^}okvHHt9=MUK@*u6IM{;FKZ@1&J=B!_qNNxM9$0k%Um=k> zx4+Y%m4*w0Es}BQmi6Ll;z;EEM?F*+N4ye5JKh` z#*ABKSZv5kGQd_sGve-pOPc`+R)X(LG=P`Xx!}g<5X{d z%b*yk80gn0_ZZ3V6`uSB(XykBW?oW){1I}KdvJMToi+3njO_`P_nwvaUQ&R*>qg^# z+jUvu(*^Hi5G$tfW+Nrw=S)yN$Le1c(_wp(<#x1ph9AWz+uX%U!4CodR1`GjOJvRb F{vRPR)V%-z literal 0 HcmV?d00001 diff --git a/CLion/ExerciseBook/07.33/CMakeLists.txt b/CLion/ExerciseBook/07.33/CMakeLists.txt new file mode 100644 index 0000000..26d8bf2 --- /dev/null +++ b/CLion/ExerciseBook/07.33/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.33 SqQueue.h SqQueue.c CSTree.h CSTree.c MFSet.h MFSet.c Graph.h Graph.c MinimumSpanningTree.h MinimumSpanningTree.c 07.33.c) +# 链接公共库 +target_link_libraries(07.33 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.33/CSTree.c b/CLion/ExerciseBook/07.33/CSTree.c new file mode 100644 index 0000000..f2a7635 --- /dev/null +++ b/CLion/ExerciseBook/07.33/CSTree.c @@ -0,0 +1,76 @@ +/*=================================== + * 树的二å‰é“¾è¡¨ï¼ˆå­©å­-兄弟）结构存储表示 + ====================================*/ + +#include "CSTree.h" + +int count = 0; + +/* + * åˆå§‹åŒ– + * + * 构造空树。 + */ +Status InitTree(CSTree* T) { + if(T == NULL) { + return ERROR; + } + + *T = NULL; + + return OK; +} + +/* + * 判空 + * + * 判断树是å¦ä¸ºç©ºæ ‘。 + */ +Status TreeEmpty(CSTree T) { + return T == NULL ? TRUE : FALSE; +} + + +/*â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”┠图形化输出 â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”*/ + +// 以图形化形å¼è¾“出当å‰ç»“æž„ +void PrintTree(CSTree T) { + + // é‡åˆ°ç©ºæ ‘则无需继续计算 + if(TreeEmpty(T)) { + printf("\n"); + return; + } + + Print(T, 0); + + printf("\n"); +} + +// 图形化输出当å‰ç»“构内部实现 +static void Print(CSTree T, int row) { + int k; + + if(T == NULL) { + return; + } + + if(row==0) { + printf("\n第 %d 棵树...\n", ++count); + } + + // 访问当å‰ç»“点 + printf("%c ", T->data); + + Print(T->firstchild, row + 1); + + if(T->nextsibling != NULL) { + printf("\n"); + + for(k = 0; k < row; k++) { + printf(". "); + } + + Print(T->nextsibling, row); + } +} diff --git a/CLion/ExerciseBook/07.33/CSTree.h b/CLion/ExerciseBook/07.33/CSTree.h new file mode 100644 index 0000000..7b8cf93 --- /dev/null +++ b/CLion/ExerciseBook/07.33/CSTree.h @@ -0,0 +1,53 @@ +/*=================================== + * 树的二å‰é“¾è¡¨ï¼ˆå­©å­-兄弟）结构存储表示 + ====================================*/ + +#ifndef CSTREE_H +#define CSTREE_H + +#include +#include // æä¾› mallocã€free 原型 +#include // æä¾› memsetã€strcmp 原型 +#include "Status.h" //**â–²01 绪论**// + +/* å•ä¸ªç»“点最大的孩å­æ•°é‡ */ +#define MAX_CHILD_COUNT 8 + +/* 树的元素类型定义，这里å‡è®¾å…¶å…ƒç´ ç±»åž‹ä¸ºchar */ +typedef char TElemType; + +/* (å­©å­-兄弟)树的结点定义 */ +typedef struct CSNode { + TElemType data; + struct CSNode* firstchild; // 指å‘é•¿å­ + struct CSNode* nextsibling; // 指å‘å³å…„弟 +} CSNode; + +/* (å­©å­-兄弟)树类型定义 */ +typedef CSNode* CSTree; + + +/* + * åˆå§‹åŒ– + * + * 构造空树。 + */ +Status InitTree(CSTree* T); + +/* + * 判空 + * + * 判断树是å¦ä¸ºç©ºæ ‘。 + */ +Status TreeEmpty(CSTree T); + + +/*â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”┠图形化输出 â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”*/ + +// 以图形化形å¼è¾“出当å‰ç»“æž„ +void PrintTree(CSTree T); + +// 图形化输出当å‰ç»“构内部实现 +static void Print(CSTree T, int row); + +#endif diff --git a/CLion/ExerciseBook/07.33/Graph.c b/CLion/ExerciseBook/07.33/Graph.c new file mode 100644 index 0000000..a011257 --- /dev/null +++ b/CLion/ExerciseBook/07.33/Graph.c @@ -0,0 +1,244 @@ +/*================================= + * 由题7.33çš„æ述创建的一ç§æ— å‘网结构 + ==================================*/ + +#include "Graph.h" + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + + +/* + * 创建无å‘网 + * + * path为NULL或为""时，从控制å°è¯»å–图的åˆå§‹åŒ–ä¿¡æ¯ã€‚ + * å¦åˆ™ï¼Œä»Žé¢„设的文件中读å–图的åˆå§‹åŒ–ä¿¡æ¯ã€‚ + */ +Status CreateGraph(Graph* G, char* path) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = path == NULL || strcmp(path, "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(!readFromConsole) { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path, "r"); + if(fp == NULL) { + return ERROR; + } + } + + Create(G); + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return OK; +} + +/* + * 创建无å‘网的核心算法 + */ +static void Create(Graph* G) { + int u, v, k; + VertexType v1, v2; + int weight; + + // 从控制å°è¯»å– + if(fp == NULL) { + printf("请输入无å‘网的顶点数："); + scanf("%d", &((*G).vexnum)); + printf("请输入无å‘网的边数："); + scanf("%d", &((*G).arcnum)); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", (*G).vexnum); + for(k = 0; k < (*G).vexnum; k++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vexs[k])); + } + + // ä»Žæ–‡ä»¶è¯»å– + } else { + ReadData(fp, "%d", &((*G).vexnum)); // 录入顶点数 + ReadData(fp, "%d", &((*G).arcnum)); // 录入边数 + + // 录入顶点集 + for(k = 0; k < (*G).vexnum; k++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[k])); + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && (*G).arcnum != 0) { + printf("请为无å‘网ä¾æ¬¡å½•å…¥ %d æ¡è¾¹çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¸Žæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", (*G).arcnum); + } + + // 构造边集结构，0å·å•å…ƒå­˜å‚¨è¾¹çš„æ•°é‡ + (*G).EdgeSet = (EdgeSetType*) malloc(((*G).arcnum + 1) * sizeof(EdgeSetType)); + if((*G).EdgeSet == NULL) { + exit(ERROR); + } + + // EdgeSetçš„0å·å•å…ƒå­˜å‚¨äº†æ— å‘ç½‘ä¸­è¾¹çš„æ•°é‡ + (*G).EdgeSet[0].weight = (*G).arcnum; + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹ä¸Žæƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%d", &weight); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &weight); + } + + u = LocateVex(*G, v1); // 获å–顶点v1在顶点集中的ä½ç½® + v = LocateVex(*G, v2); // 获å–顶点v2在顶点集中的ä½ç½® + + (*G).EdgeSet[k + 1].u = u; + (*G).EdgeSet[k + 1].v = v; + (*G).EdgeSet[k + 1].weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在无å‘网中的ä½ç½® + */ +int LocateVex(Graph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * 从边集EdgeSet中获å–最å°è¾¹çš„顶点uå’Œv，并返回TRUE。 + * 若边集为空，则返回FASLE。 + */ +Boolean GetMinEdge(EdgeSetType* EdgeSet, int* u, int* v) { + int i, j, k; + int min = INT_MAX; // 记录æƒå€¼çš„最大值 + + // 边集为空 + if(EdgeSet[0].weight == 0) { + return FALSE; + } + + // 查找æƒå€¼æœ€å°çš„è¾¹ + for(k = 1; k <= EdgeSet[0].weight; k++) { + if(EdgeSet[k].weight < min) { + min = EdgeSet[k].weight; + i = EdgeSet[k].u; + j = EdgeSet[k].v; + } + } + + // è®°å½•é¡¶ç‚¹ä¿¡æ¯ + *u = i; + *v = j; + + return TRUE; +} + +/* + * 从边集中删除ä¾é™„于顶点uå’Œv的最å°è¾¹ã€‚ + * 删除æˆåŠŸè¿”回TRUE，å¦åˆ™ï¼Œè¿”回FALSE。 + */ +Boolean DelMinEdge(EdgeSetType* EdgeSet, int u, int v) { + int k; + Boolean found = FALSE; // 是å¦æ‰¾åˆ°äº†è¾¹ + + // 边集为空 + if(EdgeSet[0].weight == 0) { + return FALSE; + } + + // 先查找该æ¡è¾¹åœ¨è¾¹é›†ä¸­çš„ä½ç½® + for(k = 1; k <= EdgeSet[0].weight; k++) { + if((EdgeSet[k].u == u && EdgeSet[k].v == v) || (EdgeSet[k].u == v && EdgeSet[k].v == u)) { + found = TRUE; + break; + } + } + + if(found == FALSE) { + return FALSE; + } + + // 这里采用的删除方å¼æ˜¯ç›´æŽ¥ç”¨æœ€åŽä¸€æ¡è¾¹çš„ä¿¡æ¯è¦†ç›–å¾…åˆ é™¤è¾¹çš„ä¿¡æ¯ + EdgeSet[k] = EdgeSet[EdgeSet[0].weight]; + EdgeSet[0].weight--; + + return TRUE; +} + +/* + * 打å°æ— å‘网结构 + */ +void PrintGraph(Graph G) { + int i, j, k, w; + int adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + // åˆå§‹åŒ–è¾¹çš„ä¿¡æ¯ + for(i = 0; i < G.vexnum; i++) { + for(j = 0; j < G.vexnum; j++) { + adjs[i][j] = INFINITE; + } + } + + // 构造边集矩阵 + for(k = 1; k <= G.EdgeSet[0].weight; k++) { + i = G.EdgeSet[k].u; + j = G.EdgeSet[k].v; + w = G.EdgeSet[k].weight; + + adjs[i][j] = adjs[j][i] = w; + } + + printf("当å‰æ— å‘ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(adjs[i][j] == INFINITE) { + printf(" -"); + } else { + printf("%3d", adjs[i][j]); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.33/Graph.h b/CLion/ExerciseBook/07.33/Graph.h new file mode 100644 index 0000000..3f0e526 --- /dev/null +++ b/CLion/ExerciseBook/07.33/Graph.h @@ -0,0 +1,71 @@ +/*================================= + * 由题7.33çš„æ述创建的一ç§æ— å‘网结构 + ==================================*/ + +#ifndef GRAPH_H +#define GRAPH_H + +#include +#include // æä¾›å®INT_MAX +#include // æä¾› mallocã€free 原型 +#include // æä¾› memsetã€strcmp 原型 +#include "Status.h" //**â–²01 绪论**// + +#define INFINITE INT_MAX // 最大值，用æ¥è¡¨ç¤ºç½‘中的两个顶点ä¸ç›´æŽ¥è¿žæŽ¥ +#define MAX_VERTEX_NUM 26 // 顶点个数最大值 + +// 顶点类型 +typedef char VertexType; + +// 边集类型 +typedef struct { + int u, v; // 顶点 + int weight; // æƒå€¼ +} EdgeSetType; + +// 有å‘图类型定义 +typedef struct Graph { + VertexType vexs[MAX_VERTEX_NUM]; // 顶点å‘é‡ + EdgeSetType* EdgeSet; // 边集 + int vexnum, arcnum; // 有å‘图的顶点数和弧数 +} Graph; + + +/* + * 创建有å‘图 + * + * path为NULL或为""时，从控制å°è¯»å–图的åˆå§‹åŒ–ä¿¡æ¯ã€‚ + * å¦åˆ™ï¼Œä»Žé¢„设的文件中读å–图的åˆå§‹åŒ–ä¿¡æ¯ã€‚ + */ +Status CreateGraph(Graph* G, char* path); + +/* + * 创建有å‘图的核心算法 + */ +static void Create(Graph* G); + +/* + * 查找 + * + * 返回顶点u在有å‘图中的ä½ç½® + */ +int LocateVex(Graph G, VertexType u); + +/* + * 从边集EdgeSet中获å–最å°è¾¹çš„顶点uå’Œv，并返回TRUE。 + * 若边集为空，则返回FASLE。 + */ +Boolean GetMinEdge(EdgeSetType* EdgeSet, int* u, int* v); + +/* + * 从边集中删除ä¾é™„于顶点uå’Œv的最å°è¾¹ã€‚ + * 删除æˆåŠŸè¿”回TRUE，å¦åˆ™ï¼Œè¿”回FALSE。 + */ +Boolean DelMinEdge(EdgeSetType* EdgeSet, int u, int v); + +/* + * 打å°æœ‰å‘图结构 + */ +void PrintGraph(Graph G); + +#endif diff --git a/CLion/ExerciseBook/07.33/MFSet.c b/CLion/ExerciseBook/07.33/MFSet.c new file mode 100644 index 0000000..2ee2468 --- /dev/null +++ b/CLion/ExerciseBook/07.33/MFSet.c @@ -0,0 +1,93 @@ +/*===== + * é›†åˆ + ======*/ + +#include "MFSet.h" + +/* + * åˆå§‹åŒ–一个由多个å­é›†ï¼ˆæ¯ä¸ªå­é›†åªåŒ…å«å•ä¸ªæˆå‘˜ï¼‰æž„æˆçš„集åˆS。 + * + * + *ã€å¤‡æ³¨ã€‘ + * + * 这里对第6ç« çš„MFSetåšäº†æ”¹åŠ¨ï¼š + * 1.直接在å‚数中传入å­é›†æ•°é‡ + * 2.å­é›†ç¼–å·ä»Ž0开始计数，这会影å“到åŽé¢çš„函数中关于下标的判断 + */ +Status initial_mfset(MFSet* S, int n) { + int i; + + if(n <= 0) { + return ERROR; + } + + S->n = n; + S->r = 0; // 第一个å­é›†çš„ä½ç½®åœ¨0å·å•å…ƒ + + // å­é›†ç¼–å·ä»Ž0开始计数 + for(i = 0; i < n; i++) { + S->nodes[i].parent = -1; + } + + return OK; +} + +/* + * 求两个互ä¸ç›¸äº¤çš„å­é›†Siå’Œå­é›†Sj的并集。 + */ +Status merge_mfset(MFSet* S, int i, int j) { + + // 索引越界 + if(i < 0 || i > S->n - 1 || j < 0 || j > S->n - 1) { + return ERROR; + } + + // 相åŒçš„å­é›†æ— éœ€åˆå¹¶ï¼Œç›´æŽ¥è¿”回 + if(i == j) { + return OK; + } + + S->nodes[i].parent = j; + + return OK; +} + +/* + * 在集åˆS中查找元素i当å‰æ‰€å±žçš„å­é›†ã€‚ + */ +int find_mfset(MFSet S, int i) { + int j; + + // 索引越界 + if(i < 0 || i > S.n - 1) { + return -1; + } + + // 查找i所属的å­é›†çš„根结点 + for(j = i; S.nodes[j].parent >= 0; j = S.nodes[j].parent) { + // 从下往上查找 + } + + return j; +} + +/* + * æ ¹æ®ç­‰ä»·å…³ç³»Ræ¥æ•´ç†/建立集åˆS中的元素(å­é›†)。 + */ +Status build_mfset(MFSet* S, Relation R) { + int k; + int i, j; + + for(k = 0; k < R.n; k++) { + // 先获å–å­é›†æ ¹ç»“点 + i = find_mfset(*S, R.pairs[k].i); + j = find_mfset(*S, R.pairs[k].j); + + // 对两个互ä¸ç›¸äº¤çš„å­é›†è¿›è¡Œå½’并 + if(!merge_mfset(S, i, j)) { + return ERROR; + } + } + + return OK; +} diff --git a/CLion/ExerciseBook/07.33/MFSet.h b/CLion/ExerciseBook/07.33/MFSet.h new file mode 100644 index 0000000..a1369a0 --- /dev/null +++ b/CLion/ExerciseBook/07.33/MFSet.h @@ -0,0 +1,92 @@ +/*===== + * é›†åˆ + ======*/ + +#ifndef MFSET_H +#define MFSET_H + +#include +#include // æä¾› mallocã€free 原型 +#include // æä¾› memsetã€strcmp 原型 +#include // +#include "Status.h" //**â–²01 绪论**// + +/* 树的最大结点数，这里指示å­é›†æœ€å¤§æ•°é‡ */ +#define MAX_TREE_SIZE 1024 + +/* äºŒå…ƒå…³ç³»å¯¹æ•°é‡ */ +#define MAX_PAIR_SIZE 100 + +/* + * (åŒäº²)树的结点定义 + * + *ã€æ³¨ã€‘ + * 1.ä¾ç…§æ•™æ的图示，åŒäº²æ ‘在集åˆçš„应用中，其模型已被简化：å³åŒäº²ç»“点ä¸å†ä¿ç•™æ•°æ®åŸŸã€‚ + * 2.结点的索引用æ¥è¡¨ç¤ºå®ƒæ˜¯å“ªä¸€ä¸ªå­é›†ï¼Œå®ƒä¼šä½œä¸ºæ›´å¤§å­é›†çš„一个元素存在。 + * 3.确定æŸä¸ªå­é›†å±žäºŽS中哪个更大的å­é›†æ—¶ï¼Œéœ€è¦å‘上追溯到更大å­é›†çš„根。 + * 4.实际使用中，æ¯ä¸ªå­é›†ä¼šåŒ…å«å¾ˆå¤šæ•°æ®å…ƒç´ ï¼Œæ­¤æ—¶å¯ä»¥å°†æ¯ä¸ªæ•°æ®å…ƒç´ ä¸Žå…¶æ‰€å±žçš„å­é›†å»ºç«‹å…³è”关系 + * å³æŠŠæ¯ä¸ªæ•°æ®å…ƒç´ ä¸Žé›†åˆS中å„结点的索引关è”èµ·æ¥ + */ +typedef struct PTNode { + int parent; // åŒäº²ä½ç½®åŸŸï¼Œç”¨æ¥æŒ‡ç¤ºè¯¥ç»“点所属的å­é›† +} PTNode; + +/* + * (åŒäº²)树类型定义 + * + *ã€æ³¨ã€‘ + * 1.树中结点在nodes中"紧邻"存储，没有空隙 + * 2.当å­é›†å­˜åœ¨æ—¶ï¼Œæ ‘æ ¹r设置为1，å¦åˆ™ï¼Œæ ‘æ ¹r设置为0 + * 3.除根结点外，其他结点ä¾æ¬¡æŒ‰å±‚åºé¡ºç€æ ¹ç»“点往下排列 + * 5.这里å‡è®¾nodes空间是足够大的，å¯ä»¥è§†éœ€æ±‚将其改为动æ€åˆ†é…存储 + */ +typedef struct { + PTNode nodes[MAX_TREE_SIZE]; // 存储树中结点 + int r; // æ ‘æ ¹ä½ç½®(索引)，这里用æ¥æŒ‡ç¤ºç¬¬ä¸€ä¸ªå­é›†çš„ä½ç½® + int n; // 树的结点数，这里用æ¥æŒ‡ç¤ºæ‰€æœ‰ +} PTree; + +/* 集åˆç±»åž‹å®šä¹‰ */ +typedef PTree MFSet; + +/* å•ä¸ªäºŒå…ƒå…³ç³»å¯¹ */ +typedef struct { + int i; + int j; +} Pair; + +/* 集åˆå†…的等价关系 */ +typedef struct { + Pair pairs[MAX_PAIR_SIZE]; // 足够大的空间存储二元关系 + int n; // å·²çŸ¥çš„ç­‰ä»·å…³ç³»æ•°é‡ +} Relation; + + +/* + * åˆå§‹åŒ–一个由多个å­é›†ï¼ˆæ¯ä¸ªå­é›†åªåŒ…å«å•ä¸ªæˆå‘˜ï¼‰æž„æˆçš„集åˆS。 + * + * + *ã€å¤‡æ³¨ã€‘ + * + * 这里对第6ç« çš„MFSetåšäº†æ”¹åŠ¨ï¼š + * 1.直接在å‚数中传入å­é›†æ•°é‡ + * 2.å­é›†ç¼–å·ä»Ž0开始计数，这会影å“到åŽé¢çš„函数中关于下标的判断 + */ +Status initial_mfset(MFSet* S, int n); + +/* + * 求两个互ä¸ç›¸äº¤çš„å­é›†Siå’Œå­é›†Sj的并集。 + */ +Status merge_mfset(MFSet* S, int i, int j); + +/* + * 在集åˆS中查找元素i当å‰æ‰€å±žçš„å­é›†ã€‚ + */ +int find_mfset(MFSet S, int i); + +/* + * æ ¹æ®ç­‰ä»·å…³ç³»Ræ¥æ•´ç†/建立集åˆS中的元素(å­é›†)。 + */ +Status build_mfset(MFSet* S, Relation R); + +#endif diff --git a/CLion/ExerciseBook/07.33/MinimumSpanningTree.c b/CLion/ExerciseBook/07.33/MinimumSpanningTree.c new file mode 100644 index 0000000..26b3fec --- /dev/null +++ b/CLion/ExerciseBook/07.33/MinimumSpanningTree.c @@ -0,0 +1,142 @@ +/*================== + * æ— å‘网的最å°ç”Ÿæˆæ ‘ + * + * 包å«ç®—法: 7.9 + ==================*/ + +#include "MinimumSpanningTree.h" + +/* + * 使用克é²æ–¯å¡å°”算法求å–最å°ç”Ÿæˆæ ‘ + */ +CSTree MinSpanTree_KRUSKAL(Graph G) { + int k; + int v1, v2; + int s1, s2; + + CSTree T = NULL; + CSTree parent[MAX_VERTEX_NUM] = {NULL}; // 追踪å„顶点在树中的ä½ç½®(用指针指å‘该顶点) + SqQueue queue; + int root; + + // 记录已ç»åŠ å…¥åˆ°æœ€å°ç”Ÿæˆæ ‘的顶点集，这里使用集åˆçš„目的是快速判断候选顶点是å¦ä¼šé€ æˆçŽ¯è·¯ + MFSet S; + Relation relation; + + // 存储有å‘网边集的一个副本 + EdgeSetType* EdgeSet; + + // 存储最å°ç”Ÿæˆæ ‘中包å«çš„边集 + EdgeSetType* tree; + EdgeSetType edge; + + // å¤åˆ¶æœ‰å‘网的边集 + EdgeSet = (EdgeSetType*) malloc((G.EdgeSet[0].weight * sizeof(EdgeSetType))); + for(k = 0; k <= G.EdgeSet[0].weight; k++) { + EdgeSet[k] = G.EdgeSet[k]; // 结构体å¯ä»¥ç›´æŽ¥å¤åˆ¶ + } + + // 最å°ç”Ÿæˆæ ‘中包å«çš„边的数é‡ä¸ºé¡¶ç‚¹æ•°-1，但这里多分é…了一个å•å…ƒï¼Œå› ä¸º0å·å•å…ƒè¦å­˜å‚¨è¾¹çš„æ•°é‡ + tree = (EdgeSetType*) malloc(G.vexnum * sizeof(EdgeSetType)); + tree[0].weight = 0; + + // åˆå§‹åŒ–é¡¶ç‚¹é›†åˆ + initial_mfset(&S, G.vexnum); + + // 从边集中ä¾æ¬¡é€‰æ‹©æƒå€¼æœ€å°ï¼Œä¸”ä¸æž„æˆçŽ¯è·¯çš„边加入到最å°ç”Ÿæˆæ ‘ + for(k = 0; k < G.arcnum; k++) { + // 选出一æ¡æƒå€¼æœ€å°çš„è¾¹ + GetMinEdge(EdgeSet, &v1, &v2); + // 选完之åŽå°±å¯ä»¥ä»Žè¾¹é›†çš„副本中删掉这æ¡è¾¹äº†ï¼Œå› ä¸ºåŽç»­ä¸å†éœ€è¦å®ƒ + DelMinEdge(EdgeSet, v1, v2); + + s1 = find_mfset(S, v1); + s2 = find_mfset(S, v2); + + // 如果这两个端点ä½äºŽåŒä¸€ä¸ªé›†åˆï¼Œåˆ™è·³è¿‡è¯¥æ¡è¾¹ + if(s1 == s2) { + continue; + } + + // 构造二元关系 + relation.n = 1; + relation.pairs[0].i = v1; + relation.pairs[0].j = v2; + + build_mfset(&S, relation); + + // 打å°é¡¶ç‚¹å’Œè¾¹çš„ä¿¡æ¯ + printf("%c %c\n", G.vexs[v1], G.vexs[v2]); + + // 创建树结点v1 + if(parent[v1] == NULL) { + parent[v1] = (CSTree) malloc(sizeof(CSNode)); + parent[v1]->data = G.vexs[v1]; + parent[v1]->firstchild = parent[v1]->nextsibling = NULL; + } + + // 创建树结点v2 + if(parent[v2] == NULL) { + parent[v2] = (CSTree) malloc(sizeof(CSNode)); + parent[v2]->data = G.vexs[v2]; + parent[v2]->firstchild = parent[v2]->nextsibling = NULL; + } + + // å‘集åˆä¸­å­˜å‚¨æž„æˆæœ€å°ç”Ÿæˆæ ‘çš„è¾¹ + tree[0].weight++; + tree[tree[0].weight].u = v1; + tree[tree[0].weight].v = v2; + } + + + /* 接下æ¥ä½¿ç”¨å·²çŸ¥çš„è¾¹æ¥æž„造树的孩å­-兄弟链表存储结构 */ + + if(tree[0].weight<=0) { + return NULL; + } + + InitQueue(&queue); + + // 确定整棵树的根结点 + T = parent[tree[1].u]; + + // 追踪æ¯æ£µå­æ ‘的根结点 + root = tree[1].u; + + while(tree[0].weight > 0) { + // 查找包å«ç«¯ç‚¹rootçš„è¾¹ + for(k = 1; k <= tree[0].weight; k++) { + if(tree[k].u == root || tree[k].v == root) { + break; + } + } + + // 找到了这样的边 + if(k <= tree[0].weight) { + edge = tree[k]; + + // 移除这æ¡è¾¹ï¼Œæ­¤å¤„åªæ˜¯ç”¨æœ€åŽä¸€æ¡è¾¹çš„ä¿¡æ¯ç®€å•åœ°è¦†ç›–è¿™æ¡è¾¹çš„ä¿¡æ¯ + tree[k] = tree[tree[0].weight]; + tree[0].weight--; + + if(edge.u == root) { + // 把结点v添加为结点u的一个孩å­ç»“点，这里简å•åœ°ä½¿ç”¨å¤´æ’法 + parent[edge.v]->nextsibling = parent[edge.u]->firstchild; + parent[edge.u]->firstchild = parent[edge.v]; + + EnQueue(&queue, edge.v); + } else { + // 把结点u添加为结点v的一个孩å­ç»“点，这里简å•åœ°ä½¿ç”¨å¤´æ’法 + parent[edge.u]->nextsibling = parent[edge.v]->firstchild; + parent[edge.v]->firstchild = parent[edge.u]; + + EnQueue(&queue, edge.u); + } + } else { + // 获å–æ–°çš„å­æ ‘çš„root + DeQueue(&queue, &root); + } + } + + return T; +} diff --git a/CLion/ExerciseBook/07.33/MinimumSpanningTree.h b/CLion/ExerciseBook/07.33/MinimumSpanningTree.h new file mode 100644 index 0000000..d4fc316 --- /dev/null +++ b/CLion/ExerciseBook/07.33/MinimumSpanningTree.h @@ -0,0 +1,22 @@ +/*================== + * æ— å‘网的最å°ç”Ÿæˆæ ‘ + * + * 包å«ç®—法: 7.9 + ==================*/ + +#ifndef MINIMUMSPANNINGTREE_H +#define MINIMUMSPANNINGTREE_H + +#include +#include // æä¾›INT_MAXå® +#include "SqQueue.h" //**â–²03 栈和队列**// +#include "MFSet.h" //**â–²06 树和二å‰æ ‘**// +#include "CSTree.h" //**â–²06 树和二å‰æ ‘**// +#include "Graph.h" + +/* + * 使用克é²æ–¯å¡å°”算法求å–最å°ç”Ÿæˆæ ‘ + */ +CSTree MinSpanTree_KRUSKAL(Graph G); + +#endif diff --git a/CLion/ExerciseBook/07.33/SqQueue.c b/CLion/ExerciseBook/07.33/SqQueue.c new file mode 100644 index 0000000..27e1655 --- /dev/null +++ b/CLion/ExerciseBook/07.33/SqQueue.c @@ -0,0 +1,147 @@ +/*============================= + * 队列的顺åºå­˜å‚¨ç»“构（顺åºé˜Ÿåˆ—） + ==============================*/ + +#include "SqQueue.h" //**â–²03 栈和队列**// + +/* + * åˆå§‹åŒ– + * + * 构造一个空的顺åºé˜Ÿåˆ—。 + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€æ³¨ã€‘ + * 这里的队列是循环队列 + */ +Status InitQueue(SqQueue* Q) { + if(Q == NULL) { + return ERROR; + } + + (*Q).base = (QElemType*) malloc(MAXQSIZE * sizeof(QElemType)); + if(!(*Q).base) { + exit(OVERFLOW); + } + + (*Q).front = (*Q).rear = 0; + + return OK; +} + +/* + * 判空 + * + * 判断循环顺åºé˜Ÿåˆ—中是å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 循环顺åºé˜Ÿåˆ—为空 + * FALSE: 循环顺åºé˜Ÿåˆ—ä¸ä¸ºç©º + */ +Status QueueEmpty(SqQueue Q) { + // 队列空的标志 + if(Q.front == Q.rear) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * 计数 + * + * 返回循环顺åºé˜Ÿåˆ—包å«çš„有效元素的数é‡ã€‚ + */ +int QueueLength(SqQueue Q) { + if(Q.base == NULL) { + return 0; + } + + // 队列长度 + return (Q.rear - Q.front + MAXQSIZE) % MAXQSIZE; +} + +/* + * å–值 + * + * 获å–队头元素，将其存储到e中。 + * 如果å¯ä»¥æ‰¾åˆ°ï¼Œè¿”回OK，å¦åˆ™ï¼Œè¿”回ERROR。 + */ +Status GetHead(SqQueue Q, QElemType* e) { + // 队列空的标志 + if(Q.base == NULL || Q.front == Q.rear) { + return ERROR; + } + + *e = Q.base[Q.front]; + + return OK; +} + +/* + * 入队 + * + * 将元素e添加到队列尾部。 + */ +Status EnQueue(SqQueue* Q, QElemType e) { + if(Q == NULL || (*Q).base == NULL) { + return ERROR; + } + + // 队列满的标志（会浪费一个空间æ¥åŒºåˆ†é˜Ÿåˆ—空和队列满） + if(((*Q).rear + 1) % MAXQSIZE == (*Q).front) { + return ERROR; + } + + // 入队 + (*Q).base[(*Q).rear] = e; + + // 尾指针å‰è¿› + (*Q).rear = ((*Q).rear + 1) % MAXQSIZE; + + return OK; +} + +/* + * 出队 + * + * 移除队列头部的元素，将其存储到e中。 + */ +Status DeQueue(SqQueue* Q, QElemType* e) { + if(Q == NULL || (*Q).base == NULL) { + return ERROR; + } + + // 队列空的标志 + if((*Q).front == (*Q).rear) { + return ERROR; + } + + // 出队 + *e = (*Q).base[(*Q).front]; + + // 头指针å‰è¿› + (*Q).front = ((*Q).front + 1) % MAXQSIZE; + + return OK; +} + +/* + * é历 + * + * 用visit函数访问队列Q + */ +Status QueueTraverse(SqQueue Q, void(Visit)(QElemType)) { + int i; + + if(Q.base == NULL) { + return ERROR; + } + + for(i = Q.front; i != Q.rear; i = (i + 1) % MAXQSIZE) { + Visit(Q.base[i]); + } + + printf("\n"); + + return OK; +} diff --git a/CLion/ExerciseBook/07.33/SqQueue.h b/CLion/ExerciseBook/07.33/SqQueue.h new file mode 100644 index 0000000..2ef7eb8 --- /dev/null +++ b/CLion/ExerciseBook/07.33/SqQueue.h @@ -0,0 +1,84 @@ +/*============================= + * 队列的顺åºå­˜å‚¨ç»“构（顺åºé˜Ÿåˆ—） + ==============================*/ + +#ifndef SQQUEUE_H +#define SQQUEUE_H + +#include +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* å®å®šä¹‰ */ +#define MAXQSIZE 1000 //最大队列长度 + +/* 循环队列元素类型定义 */ +typedef int QElemType; + +// 循环队列的顺åºå­˜å‚¨ç»“æž„ +typedef struct { + QElemType* base; // 动æ€åˆ†é…存储空间 + int front; // 头指针，若队列ä¸ç©ºï¼ŒæŒ‡å‘队头元素 + int rear; // 尾指针，若队列ä¸ç©ºï¼ŒæŒ‡å‘队列尾元素的下一个ä½ç½® +} SqQueue; + + +/* + * åˆå§‹åŒ– + * + * 构造一个空的顺åºé˜Ÿåˆ—。 + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€æ³¨ã€‘ + * 这里的队列是循环队列 + */ +Status InitQueue(SqQueue* Q); + +/* + * 判空 + * + * 判断循环顺åºé˜Ÿåˆ—中是å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 循环顺åºé˜Ÿåˆ—为空 + * FALSE: 循环顺åºé˜Ÿåˆ—ä¸ä¸ºç©º + */ +Status QueueEmpty(SqQueue Q); + +/* + * 计数 + * + * 返回循环顺åºé˜Ÿåˆ—包å«çš„有效元素的数é‡ã€‚ + */ +int QueueLength(SqQueue Q); + +/* + * å–值 + * + * 获å–队头元素，将其存储到e中。 + * 如果å¯ä»¥æ‰¾åˆ°ï¼Œè¿”回OK，å¦åˆ™ï¼Œè¿”回ERROR。 + */ +Status GetHead(SqQueue Q, QElemType* e); + +/* + * 入队 + * + * 将元素e添加到队列尾部。 + */ +Status EnQueue(SqQueue* Q, QElemType e); + +/* + * 出队 + * + * 移除队列头部的元素，将其存储到e中。 + */ +Status DeQueue(SqQueue* Q, QElemType* e); + +/* + * é历 + * + * 用visit函数访问队列Q + */ +Status QueueTraverse(SqQueue Q, void(Visit)(QElemType)); + +#endif diff --git a/CLion/ExerciseBook/07.33/TestData_UDN.txt b/CLion/ExerciseBook/07.33/TestData_UDN.txt new file mode 100644 index 0000000..5964715 --- /dev/null +++ b/CLion/ExerciseBook/07.33/TestData_UDN.txt @@ -0,0 +1,4 @@ +顶点数→6 +边数→10 +顶点集→ã€A，B，C，D，E，F】 +边的集åˆâ†’ã€A，B，6】ã€A，C，1】ã€A，D，5】ã€B，C，5】ã€B，E，3】ã€C，D，5】ã€C，E，6】ã€C，F，4】ã€D，F，2】ã€E，F，6】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.34/07.34.c b/CLion/ExerciseBook/07.34/07.34.c new file mode 100644 index 0000000..77d3373 --- /dev/null +++ b/CLion/ExerciseBook/07.34/07.34.c @@ -0,0 +1,131 @@ +#include +#include "Status.h" //**â–²01 绪论**// +#include "ALGraph.h" //**â–²07 图**// +#include "TopologicalSorting.h" //**â–²07 图**// + +/* + * 对有å‘无环图中的顶点适当地编å·ï¼Œä½¿å…¶æ‰€æœ‰å¼§vi->vj满足ivj满足iadjvex]] = 1; + p = p->nextarc; + } + } + + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vertices[topo[i]].data); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[topo[i]].data); + + for(j = 0; j < G.vexnum; j++) { + if(adjs[i][j] == 0) { + printf(" -"); + } else { + printf("%3d", adjs[i][j]); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.34/07.34.png b/CLion/ExerciseBook/07.34/07.34.png new 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录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + // ★★★此处固定为有å‘图 + kind = 0; + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘图的弧数："); + scanf("%d", &arcnum); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.34/ALGraph.h b/CLion/ExerciseBook/07.34/ALGraph.h new file mode 100644 index 0000000..ce5d0a0 --- /dev/null +++ b/CLion/ExerciseBook/07.34/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.34/CMakeLists.txt b/CLion/ExerciseBook/07.34/CMakeLists.txt new file mode 100644 index 0000000..a5e12ae --- /dev/null +++ b/CLion/ExerciseBook/07.34/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.34 SqStack.h SqStack.c ALGraph.h ALGraph.c TopologicalSorting.h TopologicalSorting.c 07.34.c) +# 链接公共库 +target_link_libraries(07.34 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.34/SqStack.c b/CLion/ExerciseBook/07.34/SqStack.c new file mode 100644 index 0000000..d709204 --- /dev/null +++ b/CLion/ExerciseBook/07.34/SqStack.c @@ -0,0 +1,90 @@ +/*========================= + * 栈的顺åºå­˜å‚¨ç»“构（顺åºæ ˆï¼‰ + ==========================*/ + +#include "SqStack.h" //**â–²03 栈和队列**// + +/* + * åˆå§‹åŒ– + * + * 构造一个空栈。åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * 判空 + * + * 判断顺åºæ ˆä¸­æ˜¯å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 顺åºæ ˆä¸ºç©º + * FALSE: 顺åºæ ˆä¸ä¸ºç©º + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * 入栈 + * + * 将元素e压入到栈顶。 + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // 栈满时，追加存储空间 + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // 存储分é…失败 + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // 进栈先赋值，栈顶指针å†è‡ªå¢ž + *(S->top++) = e; + + return OK; +} + +/* + * 出栈 + * + * 将栈顶元素弹出，并用e接收。 + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // 出栈栈顶指针先递å‡ï¼Œå†èµ‹å€¼ + *e = *(--(*S).top); + + return OK; +} diff --git a/CLion/ExerciseBook/07.34/SqStack.h b/CLion/ExerciseBook/07.34/SqStack.h new file mode 100644 index 0000000..e840954 --- /dev/null +++ b/CLion/ExerciseBook/07.34/SqStack.h @@ -0,0 +1,59 @@ +/*========================= + * 栈的顺åºå­˜å‚¨ç»“构（顺åºæ ˆï¼‰ + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* å®å®šä¹‰ */ +#define STACK_INIT_SIZE 100 // 顺åºæ ˆå­˜å‚¨ç©ºé—´çš„åˆå§‹åˆ†é…é‡ +#define STACKINCREMENT 10 // 顺åºæ ˆå­˜å‚¨ç©ºé—´çš„分é…å¢žé‡ + +/* 顺åºæ ˆå…ƒç´ ç±»åž‹å®šä¹‰ */ +typedef int SElemType; + +// 顺åºæ ˆå…ƒç´ ç»“æž„ +typedef struct { + SElemType* base; // 栈底指针 + SElemType* top; // 栈顶指针 + int stacksize; // 当å‰å·²åˆ†é…的存储空间，以元素为å•ä½ +} SqStack; + + +/* + * åˆå§‹åŒ– + * + * 构造一个空栈。åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitStack(SqStack* S); + +/* + * 判空 + * + * 判断顺åºæ ˆä¸­æ˜¯å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 顺åºæ ˆä¸ºç©º + * FALSE: 顺åºæ ˆä¸ä¸ºç©º + */ +Status StackEmpty(SqStack S); + +/* + * 入栈 + * + * 将元素e压入到栈顶。 + */ +Status Push(SqStack* S, SElemType e); + +/* + * 出栈 + * + * 将栈顶元素弹出，并用e接收。 + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/CLion/ExerciseBook/07.34/TestData_DG.txt b/CLion/ExerciseBook/07.34/TestData_DG.txt new file mode 100644 index 0000000..9d20118 --- /dev/null +++ b/CLion/ExerciseBook/07.34/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→12 +弧数→16 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L】 +弧的集åˆâ†’ã€F，J】ã€F，B】ã€F，C】ã€F，A】ã€B，C】ã€J，I】ã€C，I】ã€C，H】ã€I，H】ã€C，G】ã€D，A】ã€D，L】ã€L，A】ã€D，K】ã€K，E】ã€E，G】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.34/TopologicalSorting.c b/CLion/ExerciseBook/07.34/TopologicalSorting.c new file mode 100644 index 0000000..b35a574 --- /dev/null +++ b/CLion/ExerciseBook/07.34/TopologicalSorting.c @@ -0,0 +1,96 @@ +/*======================= + * AOV-网(有å‘图)çš„æ‹“æ‰‘æŽ’åº + * + * 包å«ç®—法: 7.12 + ========================*/ + +#include "TopologicalSorting.h" + +/* + * ████████ 算法7.12 ████████ + * + * 如果有å‘图G无回路，则输出它的一个拓扑åºåˆ—并返回OKï¼›å¦åˆ™ï¼Œè¿”回FALSE。 + * 拓扑åºåˆ—通常ä¸å”¯ä¸€ï¼Œä½†æ˜¯å¿…é¡»ä¿è¯æŸäº›å…³é”®èŠ‚点的先åŽæ¬¡åºã€‚ + * + * 注：与教æä¸åŒä¹‹å¤„在于，此处增加了一个topo数组åšå‚数。 + * 　　对于求出的拓扑åºåˆ—，ä¸ä¼šç›´æŽ¥è¾“出，而是会缓存到topo中。 + * 　　这样的åšçš„目的是åŽç»­çš„习题中会有多处用到该拓扑åºåˆ—。 + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, k, count; + int indegree[MAX_VERTEX_NUM]; + SqStack S; + ArcNode* p; + + // 对å„顶点求入度 + FindInDegree(G, indegree); + + // åˆå§‹åŒ–零入度顶点栈 + InitStack(&S); + + // 建立入度为0的顶点栈 + for(i = 0; i < G.vexnum; i++) { + // 将入度为0的顶点添加到栈中 + if(indegree[i] == 0) { + Push(&S, i); + } + } + + // 对拓扑åºåˆ—中的顶点计数 + count = 0; + + // é历顶点栈 + while(!StackEmpty(S)) { + // 获å–一个零入度顶点 + Pop(&S, &i); + + // å°†å„顶点的åºå·æš‚å­˜èµ·æ¥ + topo[count++] = i; + + // é历iå·é¡¶ç‚¹çš„邻接点 + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // 获å–顶点åºå· + k = p->adjvex; + + /* + * å°†iå·é¡¶ç‚¹æ¯ä¸ªé‚»æŽ¥ç‚¹çš„入度å‡ä¸€ï¼Œè¿™ç›¸å½“于切段iå·é¡¶ç‚¹åˆ°å…¶å®ƒé‚»æŽ¥ç‚¹çš„è”系。 + * 如果出现了新的入度为0的顶点，继续将其入栈。 + */ + if((--indegree[k]) == 0) { + Push(&S, k); + } + } + } + + // 如果é‡åˆ°äº†å›žè·¯ï¼Œåˆ™è¿”回ERROR + if(count < G.vexnum) { + return ERROR; + } else { + return OK; + } +} + +/* + * 计算å„顶点的入度 + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]) { + int i; + ArcNode* p; + + // åˆå§‹åŒ–所有顶点的入度为0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // é历所有顶点 + for(i = 0; i < G.vexnum; i++) { + // 指å‘该顶点的首个邻接点 + p = G.vertices[i].firstarc; + + // é历该顶点的所有邻接点，统计å„顶点的入度 + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } +} diff --git a/CLion/ExerciseBook/07.34/TopologicalSorting.h b/CLion/ExerciseBook/07.34/TopologicalSorting.h new file mode 100644 index 0000000..ecdde03 --- /dev/null +++ b/CLion/ExerciseBook/07.34/TopologicalSorting.h @@ -0,0 +1,28 @@ +/*======================= + * AOV-网(有å‘图)çš„æ‹“æ‰‘æŽ’åº + * + * 包å«ç®—法: 7.12 + ========================*/ + +#ifndef TOPOLOGICALSORTING_H +#define TOPOLOGICALSORTING_H + +#include +#include "Status.h" //**â–²01 绪论**// +#include "SqStack.h" //**â–²03 栈和队列**// +#include "ALGraph.h" //**â–²07 图**// + +/* + * ████████ 算法7.12 ████████ + * + * 如果有å‘图G无回路，则输出它的一个拓扑åºåˆ—并返回OKï¼›å¦åˆ™ï¼Œè¿”回FALSE。 + * 拓扑åºåˆ—通常ä¸å”¯ä¸€ï¼Œä½†æ˜¯å¿…é¡»ä¿è¯æŸäº›å…³é”®èŠ‚点的先åŽæ¬¡åºã€‚ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]); + +/* + * 计算å„顶点的入度 + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]); + +#endif diff --git a/CLion/ExerciseBook/07.35/07.35.c b/CLion/ExerciseBook/07.35/07.35.c new file mode 100644 index 0000000..7eefb6c --- /dev/null +++ b/CLion/ExerciseBook/07.35/07.35.c @@ -0,0 +1,94 @@ +#include +#include "ALGraph.h" //**â–²07 图**// + +/* + * 返回有å‘无环图的根在顶点å‘é‡ä¸­çš„åºå·ï¼Œå¦‚æžœä¸å­˜åœ¨ï¼Œè¿”回-1。 + * + * 注：如果根结点存在，则æ„味ç€è¯¥æ ¹ç»“点的入度一定为0。 + * 　　因为如果根的入度ä¸ä¸º0，那么必定会形æˆçŽ¯ã€‚ + * 　　因此，本题本质上就是寻找有å‘无环图中入度为0的那个顶点。 + */ +int Algo_7_35(ALGraph G); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("████████ 创建并输出图...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 查找有å‘无环图的根...\n"); + { + int r = Algo_7_35(G); + + if(r == -1) { + printf("给定的有å‘图无环图ä¸å­˜åœ¨æ ¹\n"); + } else { + printf("该有å‘无环图的根为：%c\n", G.vertices[r].data); + } + + printf("\n"); + } + + return 0; +} + + +/* + * 返回有å‘无环图的根在顶点å‘é‡ä¸­çš„åºå·ï¼Œå¦‚æžœä¸å­˜åœ¨ï¼Œè¿”回-1 + * + * 注：如果根结点存在，则æ„味ç€è¯¥æ ¹ç»“点的入度一定为0。 + * 　　因为如果根的入度ä¸ä¸º0，那么必定会形æˆçŽ¯ã€‚ + * 　　因此，本题本质上就是寻找有å‘无环图中入度为0的那个顶点。 + */ +int Algo_7_35(ALGraph G) { + int i, count, root; + int indegree[MAX_VERTEX_NUM]; + ArcNode* p; + + // åˆå§‹åŒ–所有顶点的入度为0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // é历所有顶点 + for(i = 0; i < G.vexnum; i++) { + // 指å‘该顶点的首个邻接点 + p = G.vertices[i].firstarc; + + // é历该顶点的所有邻接点，统计å„顶点的入度 + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } + + // 统计入度为0çš„é¡¶ç‚¹æ•°é‡ + count = 0; + root = -1; + + for(i = 0; i < G.vexnum; i++) { + if(indegree[i] == 0) { + count++; + root = i; + } + } + + // 最多åªæœ‰ä¸€ä¸ªæ ¹ + if(count==1) { + return root; + } else { + return -1; + } +} diff --git a/CLion/ExerciseBook/07.35/07.35.png b/CLion/ExerciseBook/07.35/07.35.png new file mode 100644 index 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zEP&MywofkrOujO#ZK`tA5%8kvLo=N#zs>E^_7wr*tbxPWe>j%LHvWj%Cg2|mrqCXf zkpKnC-HJ*VQ+w#iGdv&!GqZLIw>rlWGSQlI6zUCB0<2E{G>?|3>xW$tS%4$!8=&(N zdMF1M*!9pmfbae|*_v^ulmuFbg@@|czC~?#H-8Pyq@aL=sOHQ|3ylVhGMlUtouzO~ zTilXIZ2^EHw5rPNLVss37*!c2DVf;@+5fsl z4M(%yK6TUnG-2%ZM2x8JL`;P@*%c-jdCfAvy)wRyrIQ^{fwCcS-BQda$@-x4g&`0ann)0VK(2 zeGNtW?I?Y26M^Ig;YQ1`OSvZ|?^{6L5!H`oY;6$w7CiR|O_i=V%Q_7F@v3ssG@yZg z0aQ1NZ1Ei*{w|HczO|Df)W5smx+b4g>;3$8eq-~@szb;4YZ~|;bYQ3}Yb#YKybAt* D5Pw{E literal 0 HcmV?d00001 diff --git a/CLion/ExerciseBook/07.35/ALGraph.c b/CLion/ExerciseBook/07.35/ALGraph.c new file mode 100644 index 0000000..1c9c854 --- /dev/null +++ b/CLion/ExerciseBook/07.35/ALGraph.c @@ -0,0 +1,325 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#include "ALGraph.h" + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + // ★★★此处固定为有å‘图 + kind = 0; + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘图的弧数："); + scanf("%d", &arcnum); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.35/ALGraph.h b/CLion/ExerciseBook/07.35/ALGraph.h new file mode 100644 index 0000000..ce5d0a0 --- /dev/null +++ b/CLion/ExerciseBook/07.35/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.35/CMakeLists.txt b/CLion/ExerciseBook/07.35/CMakeLists.txt new file mode 100644 index 0000000..fe18c3f --- /dev/null +++ b/CLion/ExerciseBook/07.35/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.35 ALGraph.h ALGraph.c 07.35.c) +# 链接公共库 +target_link_libraries(07.35 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.35/TestData_DG.txt b/CLion/ExerciseBook/07.35/TestData_DG.txt new file mode 100644 index 0000000..7d191f3 --- /dev/null +++ b/CLion/ExerciseBook/07.35/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→12 +弧数→17 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L】 +弧的集åˆâ†’ã€F，J】ã€F，B】ã€F，C】ã€F，A】ã€B，C】ã€J，I】ã€C，I】ã€C，H】ã€I，H】ã€C，G】ã€D，A】ã€D，L】ã€L，A】ã€D，K】ã€K，E】ã€E，G】ã€F，D】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.36-07.37/07.36-07.37.c b/CLion/ExerciseBook/07.36-07.37/07.36-07.37.c new file mode 100644 index 0000000..64ca877 --- /dev/null +++ b/CLion/ExerciseBook/07.36-07.37/07.36-07.37.c @@ -0,0 +1,167 @@ +#include +#include "Status.h" //**â–²01 绪论**// +#include "ALGraph.h" //**â–²07 图**// +#include "TopologicalSorting.h" //**â–²07 图**// + +/* + * 求有å‘无环图å„顶点的最长路径。 + * + * å¯ä»¥å€ŸåŠ©å…¶æ‹“扑åºåˆ—，从åŽå‘å‰é历å„顶点æ¥è®¡ç®—最长路径， + * 原ç†æ˜¯å¯¹äºŽä»»ä¸€é¡¶ç‚¹å‡ºå‘的最长路径p1，其邻接点的最长路径p2也必定在最长路径p1上， + * å³ï¼šæŸé¡¶ç‚¹çš„最长路径 = max{邻接点的最长路径} + * + * 这里没有将MPL域直接写在ALGraph结构中，而是将其å•ç‹¬ä½œä¸ºä¸€ä¸ªæ•°ç»„å–声明，在核心算法上没有任何区别。 + */ +void Algo_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]); + +/* + * 打å°å„顶点的最长路径 + */ +static void PrintPath_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]); + +/* + * 求å–有å‘无环图的最长路径 + */ +void Algo_7_37(ALGraph G, int mpl[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("████████ 创建并输出图...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 题7.36：求å–有å‘无环图å„顶点的最长路径...\n"); + { + int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]; + + Algo_7_36(G, MPL); + PrintPath_7_36(G, MPL); + printf("\n"); + } + + printf("████████ 题7.37：求å–有å‘无环图中的最长路径...\n"); + { + int mpl[MAX_VERTEX_NUM + 1]; + int i; + + Algo_7_37(G, mpl); + for(i = 1; i <= mpl[0] + 1; i++) { + printf("%c ", G.vertices[mpl[i]].data); + } + printf("\n"); + } + + return 0; +} + + +/* + * 求有å‘无环图å„顶点的最长路径。 + * + * å¯ä»¥å€ŸåŠ©å…¶æ‹“扑åºåˆ—，从åŽå‘å‰é历å„顶点æ¥è®¡ç®—最长路径， + * 原ç†æ˜¯å¯¹äºŽä»»ä¸€é¡¶ç‚¹å‡ºå‘的最长路径p1，其邻接点的最长路径p2也必定在最长路径p1上， + * å³ï¼šæŸé¡¶ç‚¹çš„最长路径长度 = max{邻接点的最长路径长度} + 1 + * + * 这里没有将MPL域直接写在ALGraph结构中，而是将其å•ç‹¬ä½œä¸ºä¸€ä¸ªæ•°ç»„å–声明，在核心算法上没有任何区别。 + */ +void Algo_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]) { + int i, j, v, w; + int max, k; + int topo[MAX_VERTEX_NUM]; + ArcNode* p; + + if(TopologicalSort(G, topo) == ERROR) { + printf("给定的有å‘图存在回路，无法获å–其拓扑åºåˆ—...\n"); + return; + } + + // 逆åºé历拓扑åºåˆ— + for(i = G.vexnum - 1; i >= 0; i--) { + v = topo[i]; + + MPL[v][0] = 0; // 0å·å•å…ƒå­˜å‚¨è·¯å¾„长度 + MPL[v][1] = v; // 1å·å•å…ƒå­˜å‚¨è·¯å¾„的起始顶点åºå· + + p = G.vertices[v].firstarc; + + // 对于没有邻接点的顶点，其最长路径长度为0，无需å†ç ”究下去 + if(p == NULL) { + continue; + } + + max = -1; // 邻接点中最大路径长度 + k = -1; // 记录拥有最大路径长度的邻接点的åºå· + + // é历邻接点 + while(p != NULL) { + w = p->adjvex; // 邻接点åºå· + + // 如果有多æ¡ç›¸åŒé•¿åº¦çš„路径，则åªå–首先å‘çŽ°çš„ä¸€æ¡ + if(MPL[w][0] > max) { + max = MPL[w][0]; + k = w; + } + + p = p->nextarc; + } + + // 顶点最长路径长度 = max{邻接点的最长路径长度} + 1 + MPL[v][0] = max + 1; + + // 将邻接点出å‘的最长路径å¤åˆ¶åˆ°å½“å‰é¡¶ç‚¹çš„最长路径上 + for(j = 1; j <= max + 1; j++) { + MPL[v][j + 1] = MPL[k][j]; + } + } +} + +/* + * 打å°å„顶点的最长路径 + */ +static void PrintPath_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]) { + int i, j; + + for(i = 0; i < G.vexnum; i++) { + printf("从顶点 %c 出å‘的最长路径为：", G.vertices[i].data); + for(j = 1; j <= MPL[i][0] + 1; j++) { + printf("%c ", G.vertices[MPL[i][j]].data); + } + printf("\n"); + } +} + +/* + * 求å–有å‘无环图的最长路径 + */ +void Algo_7_37(ALGraph G, int mpl[MAX_VERTEX_NUM + 1]) { + int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]; + int i, max, k; + + // 求å–所有顶点的最长路径 + Algo_7_36(G, MPL); + + max = -1; + + for(i = 0; i < G.vexnum; i++) { + if(MPL[i][0] > max) { + max = MPL[i][0]; + k = i; + } + } + + for(i = 0; i <= MPL[k][0] + 1; i++) { + mpl[i] = MPL[k][i]; + } +} diff --git a/CLion/ExerciseBook/07.36-07.37/07.36-07.37.png b/CLion/ExerciseBook/07.36-07.37/07.36-07.37.png new file mode 100644 index 0000000000000000000000000000000000000000..6bb19199dc12ec07185960e5914dd51744fe7485 GIT binary patch literal 16448 zcmYMbby$?$_dQH^3?VRd35Ya9cMk|iNlAlrtCTcDH%d65G=c~S2+}P*G$P$7A|(9nq0;mUewXc%N@Xy`V07@(!EfZ;Rv zh5l4eO%bhfgnk?Rf#sl}rGSQ3olJOXjSc?B_k^1~MMER$zWqV(^C-1LLzA0US5`3a zv)FBQ^PrfSI~~p3E)Ra$wtx0R4DbEjz%XmlXS5}=N~e@Kr}Ab3J**{%?tu}_w)d!L 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zvEa4|{ks;i94P4oL$Z6^a!(O2mUb#Z9m_Ho{phu`rg5$U9t&9*QV?Hmr^BJHY^MXC zWn(zsUXvyKLW@kX-$Vh-jon$@T|~+kFu{sF`?n9oBfwfPUU-)bQKUi>v6U2TViIRT z4Bv5%;sk|G);}DV)2Tv0b#wXjT>2M?BK#A8m#}%I=6s94{Qt`j4R|6wMZ}aBWXZqu zXzr>52<=zQ?kU1s^6bwG4d?53=>Xb)A7f?cHWPWFQQY^t2mv9dD229xQq8QALy+wj zU@`74E&*i@*h!%J8$!-h3RM6)eXu9B+P}YI?$TUXZsz~&lB{(E;0>ob)88myMX3~88=g~WT0z_Udt!oIi1b@T*X~IH+x4hj z+t(A9;t8Cmgo<#CJbMJb5b2mB?B_|-dHeGI&fvHlCMY#9vV9kA|kM MqODx1Xchkd0f5#y;s5{u literal 0 HcmV?d00001 diff --git a/CLion/ExerciseBook/07.36-07.37/ALGraph.c b/CLion/ExerciseBook/07.36-07.37/ALGraph.c new file mode 100644 index 0000000..1c9c854 --- /dev/null +++ b/CLion/ExerciseBook/07.36-07.37/ALGraph.c @@ -0,0 +1,325 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#include "ALGraph.h" + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + // ★★★此处固定为有å‘图 + kind = 0; + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘图的弧数："); + scanf("%d", &arcnum); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.36-07.37/ALGraph.h b/CLion/ExerciseBook/07.36-07.37/ALGraph.h new file mode 100644 index 0000000..ce5d0a0 --- /dev/null +++ b/CLion/ExerciseBook/07.36-07.37/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.36-07.37/CMakeLists.txt b/CLion/ExerciseBook/07.36-07.37/CMakeLists.txt new file mode 100644 index 0000000..5e78b16 --- /dev/null +++ b/CLion/ExerciseBook/07.36-07.37/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.36-07.37 SqStack.h SqStack.c ALGraph.h ALGraph.c TopologicalSorting.h TopologicalSorting.c 07.36-07.37.c) +# 链接公共库 +target_link_libraries(07.36-07.37 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.36-07.37/SqStack.c b/CLion/ExerciseBook/07.36-07.37/SqStack.c new file mode 100644 index 0000000..d709204 --- /dev/null +++ b/CLion/ExerciseBook/07.36-07.37/SqStack.c @@ -0,0 +1,90 @@ +/*========================= + * 栈的顺åºå­˜å‚¨ç»“构（顺åºæ ˆï¼‰ + ==========================*/ + +#include "SqStack.h" //**â–²03 栈和队列**// + +/* + * åˆå§‹åŒ– + * + * 构造一个空栈。åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * 判空 + * + * 判断顺åºæ ˆä¸­æ˜¯å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 顺åºæ ˆä¸ºç©º + * FALSE: 顺åºæ ˆä¸ä¸ºç©º + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * 入栈 + * + * 将元素e压入到栈顶。 + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // 栈满时，追加存储空间 + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // 存储分é…失败 + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // 进栈先赋值，栈顶指针å†è‡ªå¢ž + *(S->top++) = e; + + return OK; +} + +/* + * 出栈 + * + * 将栈顶元素弹出，并用e接收。 + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // 出栈栈顶指针先递å‡ï¼Œå†èµ‹å€¼ + *e = *(--(*S).top); + + return OK; +} diff --git a/CLion/ExerciseBook/07.36-07.37/SqStack.h b/CLion/ExerciseBook/07.36-07.37/SqStack.h new file mode 100644 index 0000000..e840954 --- /dev/null +++ b/CLion/ExerciseBook/07.36-07.37/SqStack.h @@ -0,0 +1,59 @@ +/*========================= + * 栈的顺åºå­˜å‚¨ç»“构（顺åºæ ˆï¼‰ + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* å®å®šä¹‰ */ +#define STACK_INIT_SIZE 100 // 顺åºæ ˆå­˜å‚¨ç©ºé—´çš„åˆå§‹åˆ†é…é‡ +#define STACKINCREMENT 10 // 顺åºæ ˆå­˜å‚¨ç©ºé—´çš„分é…å¢žé‡ + +/* 顺åºæ ˆå…ƒç´ ç±»åž‹å®šä¹‰ */ +typedef int SElemType; + +// 顺åºæ ˆå…ƒç´ ç»“æž„ +typedef struct { + SElemType* base; // 栈底指针 + SElemType* top; // 栈顶指针 + int stacksize; // 当å‰å·²åˆ†é…的存储空间，以元素为å•ä½ +} SqStack; + + +/* + * åˆå§‹åŒ– + * + * 构造一个空栈。åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitStack(SqStack* S); + +/* + * 判空 + * + * 判断顺åºæ ˆä¸­æ˜¯å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 顺åºæ ˆä¸ºç©º + * FALSE: 顺åºæ ˆä¸ä¸ºç©º + */ +Status StackEmpty(SqStack S); + +/* + * 入栈 + * + * 将元素e压入到栈顶。 + */ +Status Push(SqStack* S, SElemType e); + +/* + * 出栈 + * + * 将栈顶元素弹出，并用e接收。 + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/CLion/ExerciseBook/07.36-07.37/TestData_DG.txt b/CLion/ExerciseBook/07.36-07.37/TestData_DG.txt new file mode 100644 index 0000000..9d20118 --- /dev/null +++ b/CLion/ExerciseBook/07.36-07.37/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→12 +弧数→16 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L】 +弧的集åˆâ†’ã€F，J】ã€F，B】ã€F，C】ã€F，A】ã€B，C】ã€J，I】ã€C，I】ã€C，H】ã€I，H】ã€C，G】ã€D，A】ã€D，L】ã€L，A】ã€D，K】ã€K，E】ã€E，G】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.36-07.37/TopologicalSorting.c b/CLion/ExerciseBook/07.36-07.37/TopologicalSorting.c new file mode 100644 index 0000000..b35a574 --- /dev/null +++ b/CLion/ExerciseBook/07.36-07.37/TopologicalSorting.c @@ -0,0 +1,96 @@ +/*======================= + * AOV-网(有å‘图)çš„æ‹“æ‰‘æŽ’åº + * + * 包å«ç®—法: 7.12 + ========================*/ + +#include "TopologicalSorting.h" + +/* + * ████████ 算法7.12 ████████ + * + * 如果有å‘图G无回路，则输出它的一个拓扑åºåˆ—并返回OKï¼›å¦åˆ™ï¼Œè¿”回FALSE。 + * 拓扑åºåˆ—通常ä¸å”¯ä¸€ï¼Œä½†æ˜¯å¿…é¡»ä¿è¯æŸäº›å…³é”®èŠ‚点的先åŽæ¬¡åºã€‚ + * + * 注：与教æä¸åŒä¹‹å¤„在于，此处增加了一个topo数组åšå‚数。 + * 　　对于求出的拓扑åºåˆ—，ä¸ä¼šç›´æŽ¥è¾“出，而是会缓存到topo中。 + * 　　这样的åšçš„目的是åŽç»­çš„习题中会有多处用到该拓扑åºåˆ—。 + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, k, count; + int indegree[MAX_VERTEX_NUM]; + SqStack S; + ArcNode* p; + + // 对å„顶点求入度 + FindInDegree(G, indegree); + + // åˆå§‹åŒ–零入度顶点栈 + InitStack(&S); + + // 建立入度为0的顶点栈 + for(i = 0; i < G.vexnum; i++) { + // 将入度为0的顶点添加到栈中 + if(indegree[i] == 0) { + Push(&S, i); + } + } + + // 对拓扑åºåˆ—中的顶点计数 + count = 0; + + // é历顶点栈 + while(!StackEmpty(S)) { + // 获å–一个零入度顶点 + Pop(&S, &i); + + // å°†å„顶点的åºå·æš‚å­˜èµ·æ¥ + topo[count++] = i; + + // é历iå·é¡¶ç‚¹çš„邻接点 + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // 获å–顶点åºå· + k = p->adjvex; + + /* + * å°†iå·é¡¶ç‚¹æ¯ä¸ªé‚»æŽ¥ç‚¹çš„入度å‡ä¸€ï¼Œè¿™ç›¸å½“于切段iå·é¡¶ç‚¹åˆ°å…¶å®ƒé‚»æŽ¥ç‚¹çš„è”系。 + * 如果出现了新的入度为0的顶点，继续将其入栈。 + */ + if((--indegree[k]) == 0) { + Push(&S, k); + } + } + } + + // 如果é‡åˆ°äº†å›žè·¯ï¼Œåˆ™è¿”回ERROR + if(count < G.vexnum) { + return ERROR; + } else { + return OK; + } +} + +/* + * 计算å„顶点的入度 + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]) { + int i; + ArcNode* p; + + // åˆå§‹åŒ–所有顶点的入度为0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // é历所有顶点 + for(i = 0; i < G.vexnum; i++) { + // 指å‘该顶点的首个邻接点 + p = G.vertices[i].firstarc; + + // é历该顶点的所有邻接点，统计å„顶点的入度 + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } +} diff --git a/CLion/ExerciseBook/07.36-07.37/TopologicalSorting.h b/CLion/ExerciseBook/07.36-07.37/TopologicalSorting.h new file mode 100644 index 0000000..ecdde03 --- /dev/null +++ b/CLion/ExerciseBook/07.36-07.37/TopologicalSorting.h @@ -0,0 +1,28 @@ +/*======================= + * AOV-网(有å‘图)çš„æ‹“æ‰‘æŽ’åº + * + * 包å«ç®—法: 7.12 + ========================*/ + +#ifndef TOPOLOGICALSORTING_H +#define TOPOLOGICALSORTING_H + +#include +#include "Status.h" //**â–²01 绪论**// +#include "SqStack.h" //**â–²03 栈和队列**// +#include "ALGraph.h" //**â–²07 图**// + +/* + * ████████ 算法7.12 ████████ + * + * 如果有å‘图G无回路，则输出它的一个拓扑åºåˆ—并返回OKï¼›å¦åˆ™ï¼Œè¿”回FALSE。 + * 拓扑åºåˆ—通常ä¸å”¯ä¸€ï¼Œä½†æ˜¯å¿…é¡»ä¿è¯æŸäº›å…³é”®èŠ‚点的先åŽæ¬¡åºã€‚ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]); + +/* + * 计算å„顶点的入度 + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]); + +#endif diff --git a/CLion/ExerciseBook/07.38/07.38.c b/CLion/ExerciseBook/07.38/07.38.c new file mode 100644 index 0000000..83aa1d2 --- /dev/null +++ b/CLion/ExerciseBook/07.38/07.38.c @@ -0,0 +1,110 @@ +#include +#include "SqList.h" +#include "ALGraph.h" + +/* + * 获å–存储在有å‘无环图中的表达å¼çš„é€†æ³¢å…°å¼ + * + * 注：表达å¼ç»“æž„å‚考教ææ’图7.23 + */ +void Algo_7_38(ALGraph G); + +/* + * 从顶点v出å‘获å–有å‘图中存储的表达å¼çš„逆波兰å¼ã€‚ + * 求å–的逆波兰å¼ä¼šå­˜å‚¨åœ¨RPN中。 + */ +static void AntiPolandFormula_7_38(ALGraph G, int v, SqList* RPN); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("████████ 创建并打å°æœ‰å‘网... \n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 求å–有å‘网中存储的表达å¼çš„逆波兰å¼... \n"); + { + Algo_7_38(G); + printf("\n"); + } + + return 0; +} + + +/* + * 获å–存储在有å‘无环图中的表达å¼çš„é€†æ³¢å…°å¼ + * + * 注：表达å¼ç»“æž„å‚考教ææ’图7.23 + */ +void Algo_7_38(ALGraph G) { + int i, root; + int indegree[MAX_VERTEX_NUM]; // æ‰€æœ‰é¡¶ç‚¹çš„å…¥åº¦ä¿¡æ¯ + ArcNode* p; + SqList RPN; // å­˜å‚¨é€†æ³¢å…°è¡¨è¾¾å¼ + ElemType e; + + // åˆå§‹åŒ–所有顶点的入度为0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // é历所有顶点 + for(i = 0; i < G.vexnum; i++) { + // 指å‘该顶点的首个邻接点 + p = G.vertices[i].firstarc; + + // é历该顶点的所有邻接点，统计å„顶点的入度 + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } + + // 查找到根结点 + for(i = 0; i < G.vexnum; i++) { + if(indegree[i] == 0) { + root = i; + break; + } + } + + // åˆå§‹åŒ–长度为0的线性表 + InitList(&RPN); + + // 从有å‘无环图的根结点出å‘，通过尾递归获å–到其中存储的表达å¼çš„é€†æ³¢å…°å¼ + AntiPolandFormula_7_38(G, root, &RPN); + + for(i = 1; i <= ListLength(RPN); i++) { + GetElem(RPN, i, &e); + printf("%c", ops[e]); + } + printf("\n"); +} + +/* + * 从顶点v出å‘获å–有å‘图中存储的表达å¼çš„逆波兰å¼ã€‚ + * 求å–的逆波兰å¼ä¼šå­˜å‚¨åœ¨RPN中。 + */ +void AntiPolandFormula_7_38(ALGraph G, int v, SqList* RPN) { + ArcNode* r; + + // å…ˆé历邻接点 + for(r = G.vertices[v].firstarc; r != NULL; r = r->nextarc) { + AntiPolandFormula_7_38(G, 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zMTw}u45OOD`QN+MSlHpFH~qW*to8kaMUoL6`$~KP-h4T67IE@LOnMdh#iS$cbCL}x zz;A$?+#why!AM>3<=Z|MSb77D>j7Fi?`|QMXhU@B#)xbs=Hs b*`=vzuIda`2N!sa*fsSBI?5G_R-yj|<&7Ks literal 0 HcmV?d00001 diff --git a/CLion/ExerciseBook/07.38/ALGraph.c b/CLion/ExerciseBook/07.38/ALGraph.c new file mode 100644 index 0000000..908415a --- /dev/null +++ b/CLion/ExerciseBook/07.38/ALGraph.c @@ -0,0 +1,344 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#include "ALGraph.h" + +// 录入数æ®çš„æºæ–‡ä»¶ï¼›fp为null时，说明需è¦ä»ŽæŽ§åˆ¶å°å½•å…¥ +static FILE* fp = NULL; + +/* + * IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + +// 与顶点一一对应的æ“作数与æ“作符 +char ops[MAX_VERTEX_NUM]; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + // ★★★此处固定为有å‘图 + kind = 0; + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘图的弧数："); + scanf("%d", &arcnum); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 录入与顶点对应的æ“作数与æ“作符 + if(fp == NULL) { + printf("请录入 %d 个与顶点一一对应的æ“作数/æ“作符，ä¸åŒæ“作数/æ“作符之间用空格隔开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &(ops[i])); + } + } else { + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &(ops[i])); + } + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.38/ALGraph.h b/CLion/ExerciseBook/07.38/ALGraph.h new file mode 100644 index 0000000..676d24c --- /dev/null +++ b/CLion/ExerciseBook/07.38/ALGraph.h @@ -0,0 +1,131 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + +// 与顶点一一对应的æ“作数与æ“作符 +extern char ops[MAX_VERTEX_NUM]; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.38/CMakeLists.txt b/CLion/ExerciseBook/07.38/CMakeLists.txt new file mode 100644 index 0000000..f6ec6aa --- /dev/null +++ b/CLion/ExerciseBook/07.38/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.38 SqList.h SqList.c ALGraph.h ALGraph.c 07.38.c) +# 链接公共库 +target_link_libraries(07.38 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.38/SqList.c b/CLion/ExerciseBook/07.38/SqList.c new file mode 100644 index 0000000..266dbe7 --- /dev/null +++ b/CLion/ExerciseBook/07.38/SqList.c @@ -0,0 +1,114 @@ +/*============================= + * 线性表的顺åºå­˜å‚¨ç»“构（顺åºè¡¨ï¼‰ + * + * 包å«ç®—法: 2.3ã€2.4ã€2.5ã€2.6 + =============================*/ + +#include "SqList.h" + +/* + * ████████ 算法2.3 ████████ + * + * åˆå§‹åŒ– + * + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitList(SqList* L) { + // 分é…指定容é‡çš„内存，如果分é…失败，则返回NULL + (*L).elem = (ElemType*) malloc(LIST_INIT_SIZE * sizeof(ElemType)); + if((*L).elem == NULL) { + // 存储内存失败 + exit(OVERFLOW); + } + + (*L).length = 0; // åˆå§‹åŒ–顺åºè¡¨é•¿åº¦ä¸º0 + (*L).listsize = LIST_INIT_SIZE; // 顺åºè¡¨åˆå§‹å†…存分é…é‡ + + return OK; // åˆå§‹åŒ–æˆåŠŸ +} + +/* + * 计数 + * + * 返回顺åºè¡¨åŒ…å«çš„有效元素的数é‡ã€‚ + */ +int ListLength(SqList L) { + return L.length; +} + +/* + * å–值 + * + * 获å–顺åºè¡¨ä¸­ç¬¬i个元素，将其存储到e中。 + * 如果å¯ä»¥æ‰¾åˆ°ï¼Œè¿”回OK，å¦åˆ™ï¼Œè¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数，但这ä¸ç¬¦åˆç¼–ç çš„通用约定。 + * 通常，içš„å«ä¹‰åº”该指索引，å³ä»Ž0开始计数。 + */ +Status GetElem(SqList L, int i, ElemType* e) { + // 因为içš„å«ä¹‰æ˜¯ä½ç½®ï¼Œæ‰€ä»¥å…¶åˆæ³•èŒƒå›´æ˜¯ï¼š[1, length] + if(i < 1 || i > L.length) { + return ERROR; //i值ä¸åˆæ³• + } + + *e = L.elem[i - 1]; + + return OK; +} + +/* + * ████████ 算法2.4 ████████ + * + * æ’å…¥ + * + * å‘顺åºè¡¨ç¬¬i个ä½ç½®ä¸Šæ’å…¥e，æ’å…¥æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数 + */ +Status ListInsert(SqList* L, int i, ElemType e) { + ElemType* newbase; + ElemType* p, * q; + + // ç¡®ä¿é¡ºåºè¡¨ç»“构存在 + if(L == NULL || (*L).elem == NULL) { + return ERROR; + } + + // i值越界 + if(i < 1 || i > (*L).length + 1) { + return ERROR; + } + + // 若存储空间已满，则增加新空间 + if((*L).length >= (*L).listsize) { + // 基于现有空间扩容 + newbase = (ElemType*) realloc((*L).elem, ((*L).listsize + LISTINCREMENT) * sizeof(ElemType)); + if(newbase == NULL) { + // 存储内存失败 + exit(OVERFLOW); + } + + // æ–°åŸºå€ + (*L).elem = newbase; + // 存的存储空间 + (*L).listsize += LISTINCREMENT; + } + + // q为æ’å…¥ä½ç½® + q = &(*L).elem[i - 1]; + + // 1.å³ç§»å…ƒç´ ï¼Œè…¾å‡ºä½ç½® + for(p = &(*L).elem[(*L).length - 1]; p >= q; --p) { + *(p + 1) = *p; + } + + // 2.æ’å…¥e + *q = e; + + // 3.表长增1 + (*L).length++; + + return OK; +} diff --git a/CLion/ExerciseBook/07.38/SqList.h b/CLion/ExerciseBook/07.38/SqList.h new file mode 100644 index 0000000..f0efa6c --- /dev/null +++ b/CLion/ExerciseBook/07.38/SqList.h @@ -0,0 +1,73 @@ +/*============================= + * 线性表的顺åºå­˜å‚¨ç»“构（顺åºè¡¨ï¼‰ + * + * 包å«ç®—法: 2.3ã€2.4ã€2.5ã€2.6 + =============================*/ + +#ifndef SQLIST_H +#define SQLIST_H + +#include +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* å®å®šä¹‰ */ +#define LIST_INIT_SIZE 100 // 顺åºè¡¨å­˜å‚¨ç©ºé—´çš„åˆå§‹åˆ†é…é‡ +#define LISTINCREMENT 10 // 顺åºè¡¨å­˜å‚¨ç©ºé—´çš„分é…å¢žé‡ + +/* 顺åºè¡¨å…ƒç´ ç±»åž‹å®šä¹‰ */ +typedef int ElemType; + +/* + * 顺åºè¡¨ç»“æž„ + * + * 注：elem在使用å‰éœ€è¦å…ˆä¸ºå…¶åˆ†é…内存，且元素从elem[0]处开始存储 + */ +typedef struct { + ElemType* elem; // 顺åºè¡¨å­˜å‚¨ç©ºé—´çš„基å€ï¼ˆæŒ‡å‘顺åºè¡¨æ‰€å å†…存的起始ä½ç½®ï¼‰ + int length; // 当å‰é¡ºåºè¡¨é•¿åº¦ï¼ˆåŒ…å«å¤šå°‘元素） + int listsize; // 当å‰åˆ†é…的存储容é‡ï¼ˆå¯ä»¥å­˜å‚¨å¤šå°‘元素） +} SqList; + + +/* + * ████████ 算法2.3 ████████ + * + * åˆå§‹åŒ– + * + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitList(SqList* L); + +/* + * 计数 + * + * 返回顺åºè¡¨åŒ…å«çš„有效元素的数é‡ã€‚ + */ +int ListLength(SqList L); + +/* + * å–值 + * + * 获å–顺åºè¡¨ä¸­ç¬¬i个元素，将其存储到e中。 + * 如果å¯ä»¥æ‰¾åˆ°ï¼Œè¿”回OK，å¦åˆ™ï¼Œè¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数，但这ä¸ç¬¦åˆç¼–ç çš„通用约定。 + * 通常，içš„å«ä¹‰åº”该指索引，å³ä»Ž0开始计数。 + */ +Status GetElem(SqList L, int i, ElemType* e); + +/* + * ████████ 算法2.4 ████████ + * + * æ’å…¥ + * + * å‘顺åºè¡¨ç¬¬i个ä½ç½®ä¸Šæ’å…¥e，æ’å…¥æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数 + */ +Status ListInsert(SqList* L, int i, ElemType e); + +#endif diff --git a/CLion/ExerciseBook/07.38/TestData_DG.txt b/CLion/ExerciseBook/07.38/TestData_DG.txt new file mode 100644 index 0000000..3c5825f --- /dev/null +++ b/CLion/ExerciseBook/07.38/TestData_DG.txt @@ -0,0 +1,8 @@ +图类型→0（有å‘图） +顶点数→12 +弧数→14 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L】 +弧的集åˆâ†’ã€A，B】ã€A，D】ã€B，C】ã€B，D】ã€C，E】ã€C，F】ã€F，G】ã€D，G】ã€D，H】ã€E，I】ã€E，J】ã€F，J】ã€G，K】ã€G，L】 + +与顶点对应的æ“作数与æ“作符→ã€*，+，*，*，+，*，+，e，a，b，c，d】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.39/07.39.c b/CLion/ExerciseBook/07.39/07.39.c new file mode 100644 index 0000000..49fb611 --- /dev/null +++ b/CLion/ExerciseBook/07.39/07.39.c @@ -0,0 +1,80 @@ +#include +#include "SqList.h" +#include "BiTree.h" + +/* + * 获å–存储在二å‰æ ‘中的表达å¼çš„é€†æ³¢å…°å¼ + * + * 注：表达å¼ç»“æž„å‚考教ææ’图7.22 + */ +void Algo_7_39(BiTree T); + +/* + * 从二å‰æ ‘的根结点出å‘获å–树中存储的表达å¼çš„逆波兰å¼ã€‚ + * 求å–的逆波兰å¼ä¼šå­˜å‚¨åœ¨RPN中。 + * + * 注：使用了åŽç»­é历 + */ +static void AntiPolandFormula_7_39(BiTree T, SqList* RPN); + + +int main(int argc, char* argv[]) { + BiTree T; + + printf("████████ 创建并打å°äºŒå‰æ ‘... \n"); + { + InitBiTree(&T); + CreateBiTree(&T, "TestData_Pre.txt"); + PrintTree(T); + printf("\n"); + } + + printf("████████ 求å–二å‰æ ‘中存储的表达å¼çš„逆波兰å¼... \n"); + { + Algo_7_39(T); + printf("\n"); + } + + return 0; +} + + +/* + * 获å–存储在二å‰æ ‘中的表达å¼çš„é€†æ³¢å…°å¼ + * + * 注：表达å¼ç»“æž„å‚考教ææ’图7.23 + */ +void Algo_7_39(BiTree T) { + int i; + SqList RPN; // å­˜å‚¨é€†æ³¢å…°è¡¨è¾¾å¼ + ElemType e; + + // åˆå§‹åŒ–长度为0的线性表 + InitList(&RPN); + + // 从有å‘无环图的根结点出å‘，通过尾递归获å–到其中存储的表达å¼çš„é€†æ³¢å…°å¼ + AntiPolandFormula_7_39(T, &RPN); + + for(i = 1; i <= ListLength(RPN); i++) { + GetElem(RPN, i, &e); + printf("%c", e); + } + printf("\n"); +} + +/* + * 从二å‰æ ‘的根结点出å‘获å–树中存储的表达å¼çš„逆波兰å¼ã€‚ + * 求å–的逆波兰å¼ä¼šå­˜å‚¨åœ¨RPN中。 + * + * 注：使用了åŽç»­é历 + */ +void AntiPolandFormula_7_39(BiTree T, SqList* RPN) { + if(T == NULL) { + return; + } + + AntiPolandFormula_7_39(T->lchild, RPN); + AntiPolandFormula_7_39(T->rchild, RPN); + // 当没有孩å­ç»“点å¯é历时，存储当å‰ç»“点 + ListInsert(RPN, ListLength(*RPN) + 1, T->data); +} diff --git a/CLion/ExerciseBook/07.39/07.39.png b/CLion/ExerciseBook/07.39/07.39.png new file mode 100644 index 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LD : RD) + 1; + } +} + + +/*â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â” ä»…é™å†…部使用的函数 â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”*/ + +// 创建二å‰æ ‘的内部函数 +static void CreateTree(BiTree* T, FILE* fp) { + char ch; + + // 读å–当å‰ç»“点的值 + if(fp == NULL) { + scanf("%c", &ch); + } else { + ReadData(fp, "%c", &ch); + } + + if(ch == '^') { + *T = NULL; + } else { + // 生æˆæ ¹ç»“点 + *T = (BiTree) malloc(sizeof(BiTNode)); + if(!(*T)) { + exit(OVERFLOW); + } + (*T)->data = ch; + CreateTree(&((*T)->lchild), fp); // 创建左å­æ ‘ + CreateTree(&((*T)->rchild), fp); // 创建å³å­æ ‘ + } +} + + +/*â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”┠图形化输出 â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”*/ + +// 以图形化形å¼è¾“出当å‰ç»“构，仅é™å†…部测试使用 +void PrintTree(BiTree T) { + int level, width; + int i, j, k, w; + int begin; + int distance; + TElemType** tmp; + LinkQueue Q; + BiTree e; + + // é‡åˆ°ç©ºæ ‘则无需继续计算 + if(BiTreeEmpty(T)) { + printf("\n"); + return; + } + + level = BiTreeDepth(T); // （完全）二å‰æ ‘结构高度 + width = (int)pow(2, level)-1; // （完全）二å‰æ ‘结构宽度 + + // 动æ€åˆ›å»ºè¡Œ + tmp = (TElemType**)malloc(level* sizeof(TElemType*)); + + // 动æ€åˆ›å»ºåˆ— + for(i = 0; i < level; i++) { + tmp[i] = (TElemType*)malloc(width* sizeof(TElemType)); + + // åˆå§‹åŒ–内存值为空字符 + memset(tmp[i], '\0', width); + } + + // 借助队列实现层åºé历 + InitQueue(&Q); + EnQueue(&Q, T); + + // é历树中所有元素，将其安排到二维数组tmp中åˆé€‚çš„ä½ç½® + for(i = 0; i < level; i++) { + w = (int) pow(2, i); // 二å‰æ ‘当å‰å±‚的宽度 + distance = width / w; // 二å‰æ ‘当å‰å±‚的元素间隔 + begin = width / (int) pow(2, i + 1); // 二å‰æ ‘当å‰å±‚首个元素之å‰çš„空格数 + + for(k = 0; k < w; k++) { + DeQueue(&Q, &e); + + if(e == NULL) { + EnQueue(&Q, NULL); + EnQueue(&Q, NULL); + } else { + j = begin + k * (1 + distance); + tmp[i][j] = e->data; + + // 左孩å­å…¥é˜Ÿ + EnQueue(&Q, e->lchild); + + // å³å­©å­å…¥é˜Ÿ + EnQueue(&Q, e->rchild); + } + } + } + + for(i = 0; i < level; i++) { + for(j = 0; j < width; j++) { + if(tmp[i][j] != '\0') { + printf("%c", tmp[i][j]); + } else { + printf(" "); + } + } + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.39/BiTree.h b/CLion/ExerciseBook/07.39/BiTree.h new file mode 100644 index 0000000..3a4dcb7 --- /dev/null +++ b/CLion/ExerciseBook/07.39/BiTree.h @@ -0,0 +1,83 @@ +/*============================= + * 二å‰æ ‘的二å‰é“¾è¡¨å­˜å‚¨ç»“æž„ + * + * 包å«ç®—法: 6.1ã€6.2ã€6.3ã€6.4 + =============================*/ + +#ifndef BITREE_H +#define BITREE_H + +#include +#include // æä¾› mallocã€free 原型 +#include // æä¾› memsetã€strcmp 原型 +#include // æä¾› pow 原型 +#include "Status.h" //**â–²01 绪论**// + +/* 二å‰æ ‘元素类型定义，这里å‡è®¾å…¶å…ƒç´ ç±»åž‹ä¸ºchar */ +typedef char TElemType; + +/* 二å‰æ ‘结点定义 */ +typedef struct BiTNode { + TElemType data; // 结点元素 + struct BiTNode* lchild; // 左孩å­æŒ‡é’ˆ + struct BiTNode* rchild; // å³å­©å­æŒ‡é’ˆ +} BiTNode; + +/* 指å‘二å‰æ ‘结点的指针 */ +typedef BiTNode* BiTree; + + +/* + * åˆå§‹åŒ– + * + * 构造空二å‰æ ‘。 + */ +Status InitBiTree(BiTree* T); + +/* + * ████████ 算法6.4 ████████ + * + * 创建 + * + * 按照预设的定义æ¥åˆ›å»ºäºŒå‰æ ‘。 + * 这里约定使用ã€å…ˆåºåºåˆ—】æ¥åˆ›å»ºäºŒå‰æ ‘。 + * + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL或者为空串， + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateBiTree(BiTree* T, char* path); + +/* + * 判空 + * + * 判断二å‰æ ‘是å¦ä¸ºç©ºæ ‘。 + */ +Status BiTreeEmpty(BiTree T); + +/* + * æ ‘æ·± + * + * 返回二å‰æ ‘的深度（层数）。 + */ +int BiTreeDepth(BiTree T); + + +/*â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â” ä»…é™å†…部使用的函数 â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”*/ + +// 创建二å‰æ ‘的内部函数 +static void CreateTree(BiTree* T, FILE* fp); + + +/*â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”┠图形化输出 â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”â”*/ + +// 以图形化形å¼è¾“出当å‰ç»“构，仅é™å†…部测试使用 +void PrintTree(BiTree T); + +#endif diff --git a/CLion/ExerciseBook/07.39/CMakeLists.txt b/CLion/ExerciseBook/07.39/CMakeLists.txt new file mode 100644 index 0000000..38a6f1d --- /dev/null +++ b/CLion/ExerciseBook/07.39/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.39 SqList.h SqList.c LinkQueue.h LinkQueue.c BiTree.h BiTree.c 07.39.c) +# 链接公共库 +target_link_libraries(07.39 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.39/LinkQueue.c b/CLion/ExerciseBook/07.39/LinkQueue.c new file mode 100644 index 0000000..d4e8d40 --- /dev/null +++ b/CLion/ExerciseBook/07.39/LinkQueue.c @@ -0,0 +1,102 @@ +/*========================= + * 队列的链å¼å­˜å‚¨ç»“构（链队） + ==========================*/ + +#ifndef LINKQUEUE_C +#define LINKQUEUE_C + +#include "LinkQueue.h" //**â–²03 栈和队列**// + +/* + * åˆå§‹åŒ– + * + * 构造一个空的链队。 + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€æ³¨ã€‘ + * 这里的队列带有头结点 + */ +Status InitQueue(LinkQueue* Q) { + if(Q == NULL) { + return ERROR; + } + + (*Q).front = (*Q).rear = (QueuePtr) malloc(sizeof(QNode)); + if(!(*Q).front) { + exit(OVERFLOW); + } + + (*Q).front->next = NULL; + + return OK; +} + +/* + * 判空 + * + * 判断链队中是å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 链队为空 + * FALSE: 链队ä¸ä¸ºç©º + */ +Status QueueEmpty(LinkQueue Q) { + if(Q.front == Q.rear) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * 入队 + * + * 将元素e添加到队列尾部。 + */ +Status EnQueue(LinkQueue* Q, QElemType e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL) { + return ERROR; + } + + p = (QueuePtr) malloc(sizeof(QNode)); + if(!p) { + exit(OVERFLOW); + } + + p->data = e; + p->next = NULL; + + (*Q).rear->next = p; + (*Q).rear = p; + + return OK; +} + +/* + * 出队 + * + * 移除队列头部的元素，将其存储到e中。 + */ +Status DeQueue(LinkQueue* Q, QElemType* e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL || (*Q).front == (*Q).rear) { + return ERROR; + } + + p = (*Q).front->next; + *e = p->data; + + (*Q).front->next = p->next; + if((*Q).rear == p) { + (*Q).rear = (*Q).front; + } + + free(p); + + return OK; +} + +#endif diff --git a/CLion/ExerciseBook/07.39/LinkQueue.h b/CLion/ExerciseBook/07.39/LinkQueue.h new file mode 100644 index 0000000..04cc75a --- /dev/null +++ b/CLion/ExerciseBook/07.39/LinkQueue.h @@ -0,0 +1,65 @@ +/*========================= + * 队列的链å¼å­˜å‚¨ç»“构（链队） + ==========================*/ + +#ifndef LINKQUEUE_H +#define LINKQUEUE_H + +#include +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// +#include "BiTree.h" //**â–²06 树和二å‰æ ‘**// + +/* 链队元素类型定义 */ +typedef BiTree QElemType; + +// 队列元素结构 +typedef struct QNode { + QElemType data; + struct QNode* next; +} QNode, * QueuePtr; + +// 队列结构 +typedef struct { + QueuePtr front; // 队头指针 + QueuePtr rear; // 队尾指针 +} LinkQueue; // 队列的链å¼å­˜å‚¨è¡¨ç¤º + + +/* + * åˆå§‹åŒ– + * + * 构造一个空的链队。 + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€æ³¨ã€‘ + * 这里的队列带有头结点 + */ +Status InitQueue(LinkQueue* Q); + +/* + * 判空 + * + * 判断链队中是å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 链队为空 + * FALSE: 链队ä¸ä¸ºç©º + */ +Status QueueEmpty(LinkQueue Q); + +/* + * 入队 + * + * 将元素e添加到队列尾部。 + */ +Status EnQueue(LinkQueue* Q, QElemType e); + +/* + * 出队 + * + * 移除队列头部的元素，将其存储到e中。 + */ +Status DeQueue(LinkQueue* Q, QElemType* e); + +#endif diff --git a/CLion/ExerciseBook/07.39/SqList.c b/CLion/ExerciseBook/07.39/SqList.c new file mode 100644 index 0000000..266dbe7 --- /dev/null +++ b/CLion/ExerciseBook/07.39/SqList.c @@ -0,0 +1,114 @@ +/*============================= + * 线性表的顺åºå­˜å‚¨ç»“构（顺åºè¡¨ï¼‰ + * + * 包å«ç®—法: 2.3ã€2.4ã€2.5ã€2.6 + =============================*/ + +#include "SqList.h" + +/* + * ████████ 算法2.3 ████████ + * + * åˆå§‹åŒ– + * + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitList(SqList* L) { + // 分é…指定容é‡çš„内存，如果分é…失败，则返回NULL + (*L).elem = (ElemType*) malloc(LIST_INIT_SIZE * sizeof(ElemType)); + if((*L).elem == NULL) { + // 存储内存失败 + exit(OVERFLOW); + } + + (*L).length = 0; // åˆå§‹åŒ–顺åºè¡¨é•¿åº¦ä¸º0 + (*L).listsize = LIST_INIT_SIZE; // 顺åºè¡¨åˆå§‹å†…存分é…é‡ + + return OK; // åˆå§‹åŒ–æˆåŠŸ +} + +/* + * 计数 + * + * 返回顺åºè¡¨åŒ…å«çš„有效元素的数é‡ã€‚ + */ +int ListLength(SqList L) { + return L.length; +} + +/* + * å–值 + * + * 获å–顺åºè¡¨ä¸­ç¬¬i个元素，将其存储到e中。 + * 如果å¯ä»¥æ‰¾åˆ°ï¼Œè¿”回OK，å¦åˆ™ï¼Œè¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数，但这ä¸ç¬¦åˆç¼–ç çš„通用约定。 + * 通常，içš„å«ä¹‰åº”该指索引，å³ä»Ž0开始计数。 + */ +Status GetElem(SqList L, int i, ElemType* e) { + // 因为içš„å«ä¹‰æ˜¯ä½ç½®ï¼Œæ‰€ä»¥å…¶åˆæ³•èŒƒå›´æ˜¯ï¼š[1, length] + if(i < 1 || i > L.length) { + return ERROR; //i值ä¸åˆæ³• + } + + *e = L.elem[i - 1]; + + return OK; +} + +/* + * ████████ 算法2.4 ████████ + * + * æ’å…¥ + * + * å‘顺åºè¡¨ç¬¬i个ä½ç½®ä¸Šæ’å…¥e，æ’å…¥æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数 + */ +Status ListInsert(SqList* L, int i, ElemType e) { + ElemType* newbase; + ElemType* p, * q; + + // ç¡®ä¿é¡ºåºè¡¨ç»“构存在 + if(L == NULL || (*L).elem == NULL) { + return ERROR; + } + + // i值越界 + if(i < 1 || i > (*L).length + 1) { + return ERROR; + } + + // 若存储空间已满，则增加新空间 + if((*L).length >= (*L).listsize) { + // 基于现有空间扩容 + newbase = (ElemType*) realloc((*L).elem, ((*L).listsize + LISTINCREMENT) * sizeof(ElemType)); + if(newbase == NULL) { + // 存储内存失败 + exit(OVERFLOW); + } + + // æ–°åŸºå€ + (*L).elem = newbase; + // 存的存储空间 + (*L).listsize += LISTINCREMENT; + } + + // q为æ’å…¥ä½ç½® + q = &(*L).elem[i - 1]; + + // 1.å³ç§»å…ƒç´ ï¼Œè…¾å‡ºä½ç½® + for(p = &(*L).elem[(*L).length - 1]; p >= q; --p) { + *(p + 1) = *p; + } + + // 2.æ’å…¥e + *q = e; + + // 3.表长增1 + (*L).length++; + + return OK; +} diff --git a/CLion/ExerciseBook/07.39/SqList.h b/CLion/ExerciseBook/07.39/SqList.h new file mode 100644 index 0000000..f0efa6c --- /dev/null +++ b/CLion/ExerciseBook/07.39/SqList.h @@ -0,0 +1,73 @@ +/*============================= + * 线性表的顺åºå­˜å‚¨ç»“构（顺åºè¡¨ï¼‰ + * + * 包å«ç®—法: 2.3ã€2.4ã€2.5ã€2.6 + =============================*/ + +#ifndef SQLIST_H +#define SQLIST_H + +#include +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* å®å®šä¹‰ */ +#define LIST_INIT_SIZE 100 // 顺åºè¡¨å­˜å‚¨ç©ºé—´çš„åˆå§‹åˆ†é…é‡ +#define LISTINCREMENT 10 // 顺åºè¡¨å­˜å‚¨ç©ºé—´çš„分é…å¢žé‡ + +/* 顺åºè¡¨å…ƒç´ ç±»åž‹å®šä¹‰ */ +typedef int ElemType; + +/* + * 顺åºè¡¨ç»“æž„ + * + * 注：elem在使用å‰éœ€è¦å…ˆä¸ºå…¶åˆ†é…内存，且元素从elem[0]处开始存储 + */ +typedef struct { + ElemType* elem; // 顺åºè¡¨å­˜å‚¨ç©ºé—´çš„基å€ï¼ˆæŒ‡å‘顺åºè¡¨æ‰€å å†…存的起始ä½ç½®ï¼‰ + int length; // 当å‰é¡ºåºè¡¨é•¿åº¦ï¼ˆåŒ…å«å¤šå°‘元素） + int listsize; // 当å‰åˆ†é…的存储容é‡ï¼ˆå¯ä»¥å­˜å‚¨å¤šå°‘元素） +} SqList; + + +/* + * ████████ 算法2.3 ████████ + * + * åˆå§‹åŒ– + * + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitList(SqList* L); + +/* + * 计数 + * + * 返回顺åºè¡¨åŒ…å«çš„有效元素的数é‡ã€‚ + */ +int ListLength(SqList L); + +/* + * å–值 + * + * 获å–顺åºè¡¨ä¸­ç¬¬i个元素，将其存储到e中。 + * 如果å¯ä»¥æ‰¾åˆ°ï¼Œè¿”回OK，å¦åˆ™ï¼Œè¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数，但这ä¸ç¬¦åˆç¼–ç çš„通用约定。 + * 通常，içš„å«ä¹‰åº”该指索引，å³ä»Ž0开始计数。 + */ +Status GetElem(SqList L, int i, ElemType* e); + +/* + * ████████ 算法2.4 ████████ + * + * æ’å…¥ + * + * å‘顺åºè¡¨ç¬¬i个ä½ç½®ä¸Šæ’å…¥e，æ’å…¥æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数 + */ +Status ListInsert(SqList* L, int i, ElemType e); + +#endif diff --git a/CLion/ExerciseBook/07.39/TestData_Pre.txt b/CLion/ExerciseBook/07.39/TestData_Pre.txt new file mode 100644 index 0000000..dede480 --- /dev/null +++ b/CLion/ExerciseBook/07.39/TestData_Pre.txt @@ -0,0 +1 @@ +å…ˆåºåºåˆ—（æœä¸Šçš„三角代表空结点）：*+*+a^^b^^*b^^+c^^d^^*+c^^d^^e^^*+c^^d^^e^^ \ No newline at end of file diff --git a/CLion/ExerciseBook/07.40/07.40.c b/CLion/ExerciseBook/07.40/07.40.c new file mode 100644 index 0000000..f0a3266 --- /dev/null +++ b/CLion/ExerciseBook/07.40/07.40.c @@ -0,0 +1,193 @@ +#include +#include +#include "SqList.h" +#include "ALGraph.h" + +/* + * 获å–存储在有å‘无环图中的表达å¼çš„é€†æ³¢å…°å¼ + * + * 注：表达å¼ç»“æž„å‚考教ææ’图7.23 + */ +void Algo_7_40(ALGraph G, SqList* RPN); + +/* + * 从顶点v出å‘获å–有å‘图中存储的表达å¼çš„逆波兰å¼ã€‚ + * 求å–的逆波兰å¼ä¼šå­˜å‚¨åœ¨RPN中。 + */ +static void AntiPolandFormula_7_40(ALGraph G, int v, SqList* RPN); + +/* + * 计算逆波兰å¼çš„值 + */ +int Evaluation_7_40(SqList RPN); + + +int main(int argc, char* argv[]) { + ALGraph G; + SqList RPN; // å­˜å‚¨é€†æ³¢å…°è¡¨è¾¾å¼ + + printf("████████ 创建并打å°æœ‰å‘网... \n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 求å–有å‘网中存储的表达å¼çš„逆波兰å¼... \n"); + { + Algo_7_40(G, &RPN); + printf("\n"); + } + + printf("████████ 计算逆波兰å¼çš„值... \n"); + { + printf("计算上述逆波兰å¼çš„值为：%d\n", Evaluation_7_40(RPN)); + printf("\n"); + } + + return 0; +} + + +/* + * 获å–存储在有å‘无环图中的表达å¼çš„é€†æ³¢å…°å¼ + * + * 注：表达å¼ç»“æž„å‚考教ææ’图7.23 + */ +void Algo_7_40(ALGraph G, SqList* RPN) { + int i, root; + int indegree[MAX_VERTEX_NUM]; // æ‰€æœ‰é¡¶ç‚¹çš„å…¥åº¦ä¿¡æ¯ + ArcNode* p; + ElemType e; + + // åˆå§‹åŒ–所有顶点的入度为0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // é历所有顶点 + for(i = 0; i < G.vexnum; i++) { + // 指å‘该顶点的首个邻接点 + p = G.vertices[i].firstarc; + + // é历该顶点的所有邻接点，统计å„顶点的入度 + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } + + // 查找到根结点 + for(i = 0; i < G.vexnum; i++) { + if(indegree[i] == 0) { + root = i; + break; + } + } + + // åˆå§‹åŒ–长度为0的线性表 + InitList(RPN); + + // 从有å‘无环图的根结点出å‘，通过尾递归获å–到其中存储的表达å¼çš„é€†æ³¢å…°å¼ + AntiPolandFormula_7_40(G, root, RPN); + + // è¾“å‡ºé€†æ³¢å…°å¼ + for(i = 1; i <= ListLength(*RPN); i++) { + GetElem(*RPN, i, &e); + + if(e.type == Operand) { + printf("%d ", e.op); // æ“作数 + } else { + printf("%c ", e.op); // æ“作符 + } + } + printf("\n"); +} + +/* + * 从顶点v出å‘获å–有å‘图中存储的表达å¼çš„逆波兰å¼ã€‚ + * 求å–的逆波兰å¼ä¼šå­˜å‚¨åœ¨RPN中。 + */ +void AntiPolandFormula_7_40(ALGraph G, int v, SqList* RPN) { + ArcNode* r; + Vertex vex; + + // å…ˆé历邻接点 + for(r = G.vertices[v].firstarc; r != NULL; r = r->nextarc) { + AntiPolandFormula_7_40(G, r->adjvex, RPN); + } + + // 获å–æ“作符/æ“作数 + vex = G.vertices[v].context; + + // 当没有邻接点å¯é历时，存储该顶点 + ListInsert(RPN, ListLength(*RPN) + 1, vex); +} + +/* + * 计算逆波兰å¼çš„值，如果å‘生错误，返回INT_MIN。 + */ +int Evaluation_7_40(SqList RPN) { + int stack[MAX_VERTEX_NUM]; // 模拟一个栈，用æ¥å­˜å‚¨è¡¨è¾¾å¼çš„计算结果 + int top = 0; // 栈顶游标 + int a, b; + ElemType e; + int i; + Boolean hasError = FALSE; // 计算过程中出现了错误 + + for(i = 1; i <= ListLength(RPN) && !hasError; i++) { + GetElem(RPN, i, &e); + + // æ“作数 + if(e.type == Operand) { + stack[top++] = e.op; + + // æ“作符 + } else { + if(top > 0) { + b = stack[--top]; + } else { + return INT_MIN; + } + + if(top > 0) { + a = stack[--top]; + } else { + return INT_MIN; + } + + switch(e.op) { + case '+': + stack[top++] = a + b; + break; + case '-': + stack[top++] = a - b; + break; + case '*': + stack[top++] = a * b; + break; + case '/': + stack[top++] = a / b; + break; + default: + printf("无法识别的æ“作符：%c\n", e.op); + hasError = TRUE; + break; + } + } + } + + // 栈中最åŽåªåº”该剩一个值 + if(hasError || top != 1) { + return INT_MIN; + } + + return stack[0]; +} diff --git a/CLion/ExerciseBook/07.40/07.40.png b/CLion/ExerciseBook/07.40/07.40.png new file mode 100644 index 0000000000000000000000000000000000000000..635f7db6052dc2e508bf9a201c23fb136629d8fe GIT binary patch literal 28101 zcmYhjWms0-^EOO(qXw1f%_4E!bx3~U|>9QX~sX?r603)VqJN(`oK zlw=qDfM6!7APNIh5ruwlhzNd0wUyR#fPum4g8qT+vne!&f%&2>BO$8hs(;Y(-eF!c z`6%s(J^p9uz;v6I_*)_isDu}Q@v2lN~drh|%`2m+> zt>n5_ewf7W(^f$Iq)gGN{psIawYMeD#`=#8_6ab!WN=_$am??1F5-qLUUANv3yihB zRB~y%jKL8@p$x#m(=3FbP6V&o{;{r;%R|1oPm_Dm!Q|R9wY$P`Iu(E;*8jFezg%Tj z;@1bg7G~t5=2 z?7htMxW*6)9UE$+3BZXl%IqB43|=3%^=P|5_3L@lWwXD!9-Q+=|6FMKr?qj_(aYWo zQwOC-+EARoPGT`56BF-+eCRU_f`w~5J|K6|pSTq|-wK`Rn~yi6{4Ua>DD7v#DKxYhJ}}|PgESM_wkeHD8IT*@)g{hw(X#cs zJjW(}hZW+@cla#q#^^){pPAau>f6f;OPv{&yi)|T*lpSXoNWGs 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z3G;qqvG8Qgw6fRuf1j=+tn*UK>+1Py+e6QdnJWJU#7&0f$H`}tZg95TKc)LC#slJJ zb~h)NC%iFd`On^8f2j60#W$KXeE&HpZGfM^>pJ*MdO&RPVn!Hz-|IAOF>v#K(Y4Gh z`hXb0!v6$tq!>DgF>i6d_*v_tdUkbvFC+e5CCq&nnG4onhLWxWoB6PxjobeW=TT$Z z@MGs%U5%l;vC})+?+xj^_Q$(1lBNaD+fRD^eV%>xQgP_x;@tBDg@41PQ_-0zOPL-d z()uXX2hmPV%Ko&efxhI&)aC&d>XR*OLf=HCp=;l_U+;oSN-{=5*dhMQ~> + InsertArc(G, v1, v2, info); + } + + + + /* 添加下é¢ä»£ç ï¼Œä»¥åº”对修改åŽçš„结构 */ + + // 录入顶点对应的æ“作符/æ“作数 + if(fp == NULL) { + printf("请为å„顶点录入æ“作符/æ“作数信æ¯ï¼š\n"); + printf(" 如果顶点是æ“作符，示范输入为：0 +\n"); + printf(" 如果顶点是æ“作数，示范输入为：1 12\n"); + for(i = 0; i < vexnum; i++) { + printf("请输入顶点 %c 对应的数æ®ä¿¡æ¯ï¼š", G->vertices[i].data); + + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%d", &type); + + // æ“作符 + if(type == 0) { + (*G).vertices[i].context.type = Operator; + scanf("%c", &o); + (*G).vertices[i].context.op = o; + } else if(type == 1) { + (*G).vertices[i].context.type = Operand; + scanf("%d", &((*G).vertices[i].context.op)); + } else { + printf("无法识别的顶点数æ®...\n"); + return ERROR; + } + } + } else { + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%d", &type); + + // æ“作符 + if(type == 0) { + (*G).vertices[i].context.type = Operator; + ReadData(fp, "%c", &o); + (*G).vertices[i].context.op = o; + } else if(type == 1) { + (*G).vertices[i].context.type = Operand; + ReadData(fp, "%d", &((*G).vertices[i].context.op)); + } else { + printf("无法识别的顶点数æ®...\n"); + return ERROR; + } + } + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.40/ALGraph.h b/CLion/ExerciseBook/07.40/ALGraph.h new file mode 100644 index 0000000..df26103 --- /dev/null +++ b/CLion/ExerciseBook/07.40/ALGraph.h @@ -0,0 +1,141 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点的数æ®ç±»åž‹ +typedef enum { + Operator, // æ“作符，用字符表示，但å¯ä»¥å­˜å‚¨åˆ°æ•´åž‹ä¸­ + Operand // æ“作数，用整数表示，如果将æ¥æ‰©å……到浮点数，å¯ä»¥ç»Ÿä¸€ä½¿ç”¨æµ®ç‚¹åž‹å­˜å‚¨ +} Type; + +// 顶点编å·ç±»åž‹ +typedef char VertexType; + +// é¡¶ç‚¹å­˜å‚¨çš„æ•°æ® +typedef struct Vertex { + Type type; // 指示当å‰é¡¶ç‚¹æ˜¯æ“作符还是æ“作数 + int op; // 存储当å‰é¡¶ç‚¹å¯¹åº”çš„æ“作符/æ“作数 +} Vertex; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + Vertex context; // 与该顶点对应的æ“作符/æ“作数 + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.40/CMakeLists.txt b/CLion/ExerciseBook/07.40/CMakeLists.txt new file mode 100644 index 0000000..b70be85 --- /dev/null +++ b/CLion/ExerciseBook/07.40/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.40 SqList.h SqList.c ALGraph.h ALGraph.c 07.40.c) +# 链接公共库 +target_link_libraries(07.40 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.40/SqList.c b/CLion/ExerciseBook/07.40/SqList.c new file mode 100644 index 0000000..266dbe7 --- /dev/null +++ b/CLion/ExerciseBook/07.40/SqList.c @@ -0,0 +1,114 @@ +/*============================= + * 线性表的顺åºå­˜å‚¨ç»“构（顺åºè¡¨ï¼‰ + * + * 包å«ç®—法: 2.3ã€2.4ã€2.5ã€2.6 + =============================*/ + +#include "SqList.h" + +/* + * ████████ 算法2.3 ████████ + * + * åˆå§‹åŒ– + * + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitList(SqList* L) { + // 分é…指定容é‡çš„内存，如果分é…失败，则返回NULL + (*L).elem = (ElemType*) malloc(LIST_INIT_SIZE * sizeof(ElemType)); + if((*L).elem == NULL) { + // 存储内存失败 + exit(OVERFLOW); + } + + (*L).length = 0; // åˆå§‹åŒ–顺åºè¡¨é•¿åº¦ä¸º0 + (*L).listsize = LIST_INIT_SIZE; // 顺åºè¡¨åˆå§‹å†…存分é…é‡ + + return OK; // åˆå§‹åŒ–æˆåŠŸ +} + +/* + * 计数 + * + * 返回顺åºè¡¨åŒ…å«çš„有效元素的数é‡ã€‚ + */ +int ListLength(SqList L) { + return L.length; +} + +/* + * å–值 + * + * 获å–顺åºè¡¨ä¸­ç¬¬i个元素，将其存储到e中。 + * 如果å¯ä»¥æ‰¾åˆ°ï¼Œè¿”回OK，å¦åˆ™ï¼Œè¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数，但这ä¸ç¬¦åˆç¼–ç çš„通用约定。 + * 通常，içš„å«ä¹‰åº”该指索引，å³ä»Ž0开始计数。 + */ +Status GetElem(SqList L, int i, ElemType* e) { + // 因为içš„å«ä¹‰æ˜¯ä½ç½®ï¼Œæ‰€ä»¥å…¶åˆæ³•èŒƒå›´æ˜¯ï¼š[1, length] + if(i < 1 || i > L.length) { + return ERROR; //i值ä¸åˆæ³• + } + + *e = L.elem[i - 1]; + + return OK; +} + +/* + * ████████ 算法2.4 ████████ + * + * æ’å…¥ + * + * å‘顺åºè¡¨ç¬¬i个ä½ç½®ä¸Šæ’å…¥e，æ’å…¥æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数 + */ +Status ListInsert(SqList* L, int i, ElemType e) { + ElemType* newbase; + ElemType* p, * q; + + // ç¡®ä¿é¡ºåºè¡¨ç»“构存在 + if(L == NULL || (*L).elem == NULL) { + return ERROR; + } + + // i值越界 + if(i < 1 || i > (*L).length + 1) { + return ERROR; + } + + // 若存储空间已满，则增加新空间 + if((*L).length >= (*L).listsize) { + // 基于现有空间扩容 + newbase = (ElemType*) realloc((*L).elem, ((*L).listsize + LISTINCREMENT) * sizeof(ElemType)); + if(newbase == NULL) { + // 存储内存失败 + exit(OVERFLOW); + } + + // æ–°åŸºå€ + (*L).elem = newbase; + // 存的存储空间 + (*L).listsize += LISTINCREMENT; + } + + // q为æ’å…¥ä½ç½® + q = &(*L).elem[i - 1]; + + // 1.å³ç§»å…ƒç´ ï¼Œè…¾å‡ºä½ç½® + for(p = &(*L).elem[(*L).length - 1]; p >= q; --p) { + *(p + 1) = *p; + } + + // 2.æ’å…¥e + *q = e; + + // 3.表长增1 + (*L).length++; + + return OK; +} diff --git a/CLion/ExerciseBook/07.40/SqList.h b/CLion/ExerciseBook/07.40/SqList.h new file mode 100644 index 0000000..70c5b39 --- /dev/null +++ b/CLion/ExerciseBook/07.40/SqList.h @@ -0,0 +1,74 @@ +/*============================= + * 线性表的顺åºå­˜å‚¨ç»“构（顺åºè¡¨ï¼‰ + * + * 包å«ç®—法: 2.3ã€2.4ã€2.5ã€2.6 + =============================*/ + +#ifndef SQLIST_H +#define SQLIST_H + +#include +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// +#include "ALGraph.h" //**â–²07 图**// + +/* å®å®šä¹‰ */ +#define LIST_INIT_SIZE 100 // 顺åºè¡¨å­˜å‚¨ç©ºé—´çš„åˆå§‹åˆ†é…é‡ +#define LISTINCREMENT 10 // 顺åºè¡¨å­˜å‚¨ç©ºé—´çš„分é…å¢žé‡ + +/* 顺åºè¡¨å…ƒç´ ç±»åž‹å®šä¹‰ */ +typedef Vertex ElemType; + +/* + * 顺åºè¡¨ç»“æž„ + * + * 注：elem在使用å‰éœ€è¦å…ˆä¸ºå…¶åˆ†é…内存，且元素从elem[0]处开始存储 + */ +typedef struct { + ElemType* elem; // 顺åºè¡¨å­˜å‚¨ç©ºé—´çš„基å€ï¼ˆæŒ‡å‘顺åºè¡¨æ‰€å å†…存的起始ä½ç½®ï¼‰ + int length; // 当å‰é¡ºåºè¡¨é•¿åº¦ï¼ˆåŒ…å«å¤šå°‘元素） + int listsize; // 当å‰åˆ†é…的存储容é‡ï¼ˆå¯ä»¥å­˜å‚¨å¤šå°‘元素） +} SqList; + + +/* + * ████████ 算法2.3 ████████ + * + * åˆå§‹åŒ– + * + * åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitList(SqList* L); + +/* + * 计数 + * + * 返回顺åºè¡¨åŒ…å«çš„有效元素的数é‡ã€‚ + */ +int ListLength(SqList L); + +/* + * å–值 + * + * 获å–顺åºè¡¨ä¸­ç¬¬i个元素，将其存储到e中。 + * 如果å¯ä»¥æ‰¾åˆ°ï¼Œè¿”回OK，å¦åˆ™ï¼Œè¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数，但这ä¸ç¬¦åˆç¼–ç çš„通用约定。 + * 通常，içš„å«ä¹‰åº”该指索引，å³ä»Ž0开始计数。 + */ +Status GetElem(SqList L, int i, ElemType* e); + +/* + * ████████ 算法2.4 ████████ + * + * æ’å…¥ + * + * å‘顺åºè¡¨ç¬¬i个ä½ç½®ä¸Šæ’å…¥e，æ’å…¥æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + * + *ã€å¤‡æ³¨ã€‘ + * æ•™æ中içš„å«ä¹‰æ˜¯å…ƒç´ ä½ç½®ï¼Œä»Ž1开始计数 + */ +Status ListInsert(SqList* L, int i, ElemType e); + +#endif diff --git a/CLion/ExerciseBook/07.40/TestData_DG.txt b/CLion/ExerciseBook/07.40/TestData_DG.txt new file mode 100644 index 0000000..14eca5e --- /dev/null +++ b/CLion/ExerciseBook/07.40/TestData_DG.txt @@ -0,0 +1,8 @@ +图类型→0（有å‘图） +顶点数→12 +弧数→14 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L】 +弧的集åˆâ†’ã€A，B】ã€A，D】ã€B，C】ã€B，D】ã€C，E】ã€C，F】ã€F，G】ã€D，G】ã€D，H】ã€E，I】ã€E，J】ã€F，J】ã€G，K】ã€G，L】 + +与顶点对应的æ“作数与æ“作符→ã€0，*】ã€0，+】ã€0，*】ã€0，*】ã€0，+】ã€0，*】ã€0，+】ã€1，12】ã€1，3】ã€1，4】ã€1，5】ã€1，6】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.41/07.41.c b/CLion/ExerciseBook/07.41/07.41.c new file mode 100644 index 0000000..0dfebbf --- /dev/null +++ b/CLion/ExerciseBook/07.41/07.41.c @@ -0,0 +1,160 @@ +#include +#include "SqStack.h" +#include "ALGraph.h" + +// 缓存已找到的æƒå€¼å’Œæœ€å¤§çš„路径的æƒå€¼å’Œ +static int MAX = -1; + + +/* + * 求å–有å‘网中的关键路径(CPM) + * + * 此处利用深度优先é历的æ€æƒ³æ¥æ±‚å–关键路径，其基本原ç†æ˜¯ï¼šå…³é”®è·¯å¾„ = æƒå€¼å’Œæœ€å¤§çš„路径 + * + * 注：教æ中应该是笔误，ä¸æ˜¯æ±‚有å‘图的关键路径，而是求有å‘网的最长路径 + */ +void Algo_7_41(ALGraph G); + +/* + * 查找关键路径上的æºç‚¹ + * + * 此处使用å¦å¤–一ç§æ–¹å¼æ±‚æºç‚¹ï¼Œè€Œä¸æ˜¯åƒä¹‹å‰ä¸€æ ·é€šè¿‡å…¥åº¦ä¿¡æ¯æ±‚æºç‚¹ï¼Œ + * ä¸è¿‡è¿™ä¸¤ç§æ–¹æ³•æ˜¯æ®Šé€”åŒå½’的。 + */ +static int FindBegin_7_41(ALGraph G); + +/* + * 通过深度优先é历查找图中从顶点v出å‘çš„æƒå€¼æœ€é•¿çš„路径(关键路径)。 + * + * sumå’ŒS用æ¥ç¼“存路径æƒå€¼å’Œä¸Žå·²ç»æ‰¾åˆ°çš„路径， + * path用æ¥è®°å½•å½“å‰æ‰¾åˆ°çš„æƒå€¼å’Œæœ€å¤§çš„路径，path[0]上存储顶点数é‡ã€‚ + */ +static void FindPath_7_41(ALGraph G, int v, int sum, SqStack* S, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("████████ 创建并打å°æœ‰å‘网... \n"); + { + char* path[4]; + + path[0] = ""; + path[1] = "TestData_DN.txt"; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + } + PressEnterToContinue(debug); + + printf("████████ 求å–有å‘网的关键路径... \n"); + { + Algo_7_41(G); + } + PressEnterToContinue(debug); + + return 0; +} + + +/* + * 求å–有å‘网中的关键路径(CPM) + * + * 此处利用深度优先é历的æ€æƒ³æ¥æ±‚å–关键路径，其基本原ç†æ˜¯ï¼šå…³é”®è·¯å¾„ = æƒå€¼å’Œæœ€å¤§çš„路径 + * + * 注：教æ中应该是笔误，ä¸æ˜¯æ±‚有å‘图的关键路径，而是求有å‘网的最长路径 + */ +void Algo_7_41(ALGraph G) { + int i; + int begin; // 关键路径上的æºç‚¹ + int path[MAX_VERTEX_NUM + 1] = {-1}; // 存储æƒå€¼å’Œæœ€å¤§çš„路径，0好å•å…ƒå­˜å‚¨æƒå€¼å’Œ + SqStack S; + + // 查找关键路径上的æºç‚¹ + begin = FindBegin_7_41(G); + + InitStack(&S); + + FindPath_7_41(G, begin, 0, &S, path); + + printf("已找到的æƒå€¼å’Œæœ€å¤§çš„路径(关键路径)为："); + for(i = 1; i <= path[0]; i++) { + printf("%c ", G.vertices[path[i]].data); + } + printf("\n"); +} + +/* + * 查找关键路径上的æºç‚¹ + * + * 此处使用å¦å¤–一ç§æ–¹å¼æ±‚æºç‚¹ï¼Œè€Œä¸æ˜¯åƒä¹‹å‰ä¸€æ ·é€šè¿‡å…¥åº¦ä¿¡æ¯æ±‚æºç‚¹ï¼Œ + * ä¸è¿‡è¿™ä¸¤ç§æ–¹æ³•æ˜¯æ®Šé€”åŒå½’的。 + */ +static int FindBegin_7_41(ALGraph G) { + int k; + ArcNode* p; + Boolean isAdj[MAX_VERTEX_NUM] = {FALSE}; // 记录哪些顶点åšäº†é‚»æŽ¥ç‚¹ + + // 找到所有邻接点 + for(k = 0; k < G.vexnum; k++) { + for(p = G.vertices[k].firstarc; p != NULL; p = p->nextarc) { + isAdj[p->adjvex] = TRUE; + } + } + + // 关键路径上的æºç‚¹æ²¡æœ‰å…¥å¼§ï¼Œæ‰€ä»¥ä¹Ÿä¸ä¼šæˆä¸ºåˆ«çš„顶点的邻接点 + for(k = 0; k < G.vexnum; k++) { + if(isAdj[k] == FALSE) { + return k; + } + } + + return -1; +} + +/* + * 通过深度优先é历查找图中从顶点v出å‘çš„æƒå€¼æœ€é•¿çš„路径(关键路径)。 + * + * sumå’ŒS用æ¥ç¼“存路径æƒå€¼å’Œä¸Žå·²ç»æ‰¾åˆ°çš„路径， + * path用æ¥è®°å½•å½“å‰æ‰¾åˆ°çš„æƒå€¼å’Œæœ€å¤§çš„路径，path[0]上存储顶点数é‡ã€‚ + */ +static void FindPath_7_41(ALGraph G, int v, int sum, SqStack* S, int path[MAX_VERTEX_NUM + 1]) { + int i; + ArcNode* p; + SElemType e; + + // å°†é‡åˆ°çš„顶点暂存到路径栈 + Push(S, v); + + // 深度优先é历 + for(p = G.vertices[v].firstarc; p != NULL; p = p->nextarc) { + sum += p->info->weight; + FindPath_7_41(G, p->adjvex, sum, S, path); + sum -= p->info->weight; + } + + /* + * 至此，此路径已é历到了尽头， + * 如果该路径的æƒå€¼å’Œæ¯”之å‰æ‰¾åˆ°çš„路径æƒå€¼å’Œæ›´å¤§ï¼Œåˆ™éœ€è¦æŠŠè¯¥è·¯å¾„完整地ä¿å­˜åˆ°path中， + * ä¿å­˜å®ŒæˆåŽï¼Œå°†å½“å‰é¡¶ç‚¹v退栈 + */ + + // 如果该顶点是终点(表现为没有邻接点) + if(G.vertices[v].firstarc == NULL) { + // å‘现了æƒå€¼å’Œæ›´å¤§çš„路径 + if(sum > MAX) { + MAX = sum; + + path[0] = StackLength(*S); + + // 将栈中ä¿å­˜çš„路径å¤åˆ¶åˆ°path中 + for(i = 0; i < StackLength(*S); i++) { + path[i + 1] = S->base[i]; + } + } + } + + Pop(S, &e); +} diff --git a/CLion/ExerciseBook/07.41/07.41.png b/CLion/ExerciseBook/07.41/07.41.png new file mode 100644 index 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z)k12O$&&rpW;!N3N- + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.41/ALGraph.h b/CLion/ExerciseBook/07.41/ALGraph.h new file mode 100644 index 0000000..4a1686c --- /dev/null +++ b/CLion/ExerciseBook/07.41/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造有å‘网 + */ +static Status CreateDN(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.41/CMakeLists.txt b/CLion/ExerciseBook/07.41/CMakeLists.txt new file mode 100644 index 0000000..4915bc7 --- /dev/null +++ b/CLion/ExerciseBook/07.41/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.41 SqStack.h SqStack.c ALGraph.h ALGraph.c 07.41.c) +# 链接公共库 +target_link_libraries(07.41 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.41/SqStack.c b/CLion/ExerciseBook/07.41/SqStack.c new file mode 100644 index 0000000..8b615a8 --- /dev/null +++ b/CLion/ExerciseBook/07.41/SqStack.c @@ -0,0 +1,103 @@ +/*========================= + * 栈的顺åºå­˜å‚¨ç»“构（顺åºæ ˆï¼‰ + ==========================*/ + +#include "SqStack.h" //**â–²03 栈和队列**// + +/* + * åˆå§‹åŒ– + * + * 构造一个空栈。åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * 判空 + * + * 判断顺åºæ ˆä¸­æ˜¯å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 顺åºæ ˆä¸ºç©º + * FALSE: 顺åºæ ˆä¸ä¸ºç©º + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * 计数 + * + * 返回顺åºæ ˆåŒ…å«çš„有效元素的数é‡ã€‚ + */ +int StackLength(SqStack S) { + if(S.base == NULL) { + return 0; + } + + return (int) (S.top - S.base); +} + +/* + * 入栈 + * + * 将元素e压入到栈顶。 + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // 栈满时，追加存储空间 + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // 存储分é…失败 + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // 进栈先赋值，栈顶指针å†è‡ªå¢ž + *(S->top++) = e; + + return OK; +} + +/* + * 出栈 + * + * 将栈顶元素弹出，并用e接收。 + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // 出栈栈顶指针先递å‡ï¼Œå†èµ‹å€¼ + *e = *(--(*S).top); + + return OK; +} diff --git a/CLion/ExerciseBook/07.41/SqStack.h b/CLion/ExerciseBook/07.41/SqStack.h new file mode 100644 index 0000000..7b77f67 --- /dev/null +++ b/CLion/ExerciseBook/07.41/SqStack.h @@ -0,0 +1,66 @@ +/*========================= + * 栈的顺åºå­˜å‚¨ç»“构（顺åºæ ˆï¼‰ + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* å®å®šä¹‰ */ +#define STACK_INIT_SIZE 100 // 顺åºæ ˆå­˜å‚¨ç©ºé—´çš„åˆå§‹åˆ†é…é‡ +#define STACKINCREMENT 10 // 顺åºæ ˆå­˜å‚¨ç©ºé—´çš„分é…å¢žé‡ + +/* 顺åºæ ˆå…ƒç´ ç±»åž‹å®šä¹‰ */ +typedef int SElemType; + +// 顺åºæ ˆå…ƒç´ ç»“æž„ +typedef struct { + SElemType* base; // 栈底指针 + SElemType* top; // 栈顶指针 + int stacksize; // 当å‰å·²åˆ†é…的存储空间，以元素为å•ä½ +} SqStack; + + +/* + * åˆå§‹åŒ– + * + * 构造一个空栈。åˆå§‹åŒ–æˆåŠŸåˆ™è¿”回OK，å¦åˆ™è¿”回ERROR。 + */ +Status InitStack(SqStack* S); + +/* + * 判空 + * + * 判断顺åºæ ˆä¸­æ˜¯å¦åŒ…å«æœ‰æ•ˆæ•°æ®ã€‚ + * + * 返回值： + * TRUE : 顺åºæ ˆä¸ºç©º + * FALSE: 顺åºæ ˆä¸ä¸ºç©º + */ +Status StackEmpty(SqStack S); + +/* + * 计数 + * + * 返回顺åºæ ˆåŒ…å«çš„有效元素的数é‡ã€‚ + */ +int StackLength(SqStack S); + +/* + * 入栈 + * + * 将元素e压入到栈顶。 + */ +Status Push(SqStack* S, SElemType e); + +/* + * 出栈 + * + * 将栈顶元素弹出，并用e接收。 + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/CLion/ExerciseBook/07.41/TestData_DN.txt b/CLion/ExerciseBook/07.41/TestData_DN.txt new file mode 100644 index 0000000..990edae --- /dev/null +++ b/CLion/ExerciseBook/07.41/TestData_DN.txt @@ -0,0 +1,6 @@ +图类型→1（有å‘网） +顶点数→13 +弧数→24 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’1 +顶点集→ã€M，A，B，C，D，E，F，G，H，I，J，K，N】 +弧的集åˆâ†’ã€M，A，1】ã€M，B，6】ã€M，D，3】ã€M，F，4】ã€M，G，3】ã€M，I，1】ã€A，C，6】ã€B，C，2】ã€D，C，7】ã€D，E，8】ã€D，J，6】ã€F，E，11】ã€F，H，5】ã€G，N，21】ã€G，H，10】ã€I，H，6】ã€H，J，4】ã€H，K，9】ã€K，J，9】ã€J，N，12】ã€J，E，3】ã€E，N，10】ã€H，C，4】ã€C，E，8】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.42/07.42.c b/CLion/ExerciseBook/07.42/07.42.c new file mode 100644 index 0000000..96ea649 --- /dev/null +++ b/CLion/ExerciseBook/07.42/07.42.c @@ -0,0 +1,54 @@ +#include +#include "ALGraph.h" +#include "ShortestPaths.h" + +/* + * 使用Dijkstra算法计算从å•æºé¡¶ç‚¹å‡ºå‘的最短路径 + */ +void Algo_7_42(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("████████ 创建并打å°æ— å‘图/网... \n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("████████ 迪æ°æ–¯ç‰¹æ‹‰ç®—法求å•æºæœ€çŸ­è·¯å¾„... \n"); + { + VertexType v0 = 'A'; + PathMatrix_DIJ P; + ShortPathTable_DIJ D; + + printf("输出从顶点 %c 到其余顶点的最短路径：\n", v0); + Algo_7_42(G, LocateVex(G, v0), P, D); + printf("\n"); + } +} + + +/* + * 使用Dijkstra算法计算从å•æºé¡¶ç‚¹å‡ºå‘的最短路径 + */ +void Algo_7_42(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D) { + + // ★★必须首先调用此函数计算å„顶点之间的关系 + GetAdjs(G); + + // 最短路径算法 + ShortestPath_DIJ(G, v0, P, D); + + // 打å°è®¡ç®—出的结果（此步骤å¯é€‰ï¼‰ + PrintPath_DIJ(G, v0, P, D); +} diff --git a/CLion/ExerciseBook/07.42/07.42.png b/CLion/ExerciseBook/07.42/07.42.png new file mode 100644 index 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IncInfo指示该图/网的边/弧上是å¦å­˜åœ¨é™„加信æ¯ã€‚ + * 如果其值ä¸ä¸º0，则表示无附加信æ¯ï¼Œå¦åˆ™ï¼Œè¡¨ç¤ºå­˜åœ¨é™„加信æ¯ã€‚ + */ +Boolean IncInfo = FALSE; + +// 访问标志数组，记录访问过的顶点 +static Boolean visited[MAX_VERTEX_NUM]; + +// 函数å˜é‡ +static Status (* VisitFunc)(VertexType e); + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // 是å¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ® + int kind; + Status flag; + + printf("请输入图的类型(0-有å‘图 │ 1-有å‘网 │ 2-æ— å‘图 │ 3-æ— å‘网)："); + scanf("%d", &kind); + + // 类型ä¸åˆè§„ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // 如果没有文件路径信æ¯ï¼Œåˆ™ä»ŽæŽ§åˆ¶å°è¯»å–输入 + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // 需è¦ä»Žæ–‡ä»¶è¯»å– + if(readFromConsole) { + (*G).kind = kind; // 记录图/网的类型 + } else { + // 打开文件，准备读å–æµ‹è¯•æ•°æ® + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // 录入图的类型 + ReadData(fp, "%d", &((*G).kind)); + } + + // éšæœºåˆ›å»ºæœ‰å‘图/网或无å‘图/ç½‘çš„ä¸€ç§ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘图的弧数："); + scanf("%d", &arcnum); + printf("该有å‘图的弧上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo); // 判断弧上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘图ä¾æ¬¡å½•å…¥ %d æ¡å¼§çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造有å‘网 + */ +static Status CreateDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入有å‘网的顶点数："); + scanf("%d", &vexnum); + printf("请输入有å‘网的弧数："); + scanf("%d", &arcnum); + printf("该有å‘网的弧上必须包å«å…¶ä»–附加信æ¯ï¼Œå› ä¸ºæ­¤å¤„çš„æƒå€¼éœ€è¦å­˜å‚¨åˆ°é™„加信æ¯ä¸­...\n"); + IncInfo = 1; + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入弧数 + ReadData(fp, "%d", &IncInfo);// 判断弧上是å¦åŒ…å«é™„加信æ¯(此处应当包å«) + IncInfo = 1; // 强制将æƒå€¼å½•å…¥åˆ°é™„加信æ¯ä¸­ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为有å‘网ä¾æ¬¡å½•å…¥ %d æ¡å¼§(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥å¼§çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡å¼§åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥å¼§çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„加信æ¯(此处需è¦å½•å…¥ç½‘çš„æƒå€¼) + Input(*G, &info); + } + + // æ’入弧 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造无å‘图 + */ +static Status CreateUDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入无å‘图的顶点数："); + scanf("%d", &vexnum); + printf("请输入无å‘图的边数："); + scanf("%d", &arcnum); + printf("该无å‘图的边上是å¦åŒ…å«å…¶ä»–附加信æ¯(0-ä¸åŒ…å«â”‚1-包å«)："); + scanf("%d", &IncInfo); + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入边数 + ReadData(fp, "%d", &IncInfo);// 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为无å‘图ä¾æ¬¡å½•å…¥ %d æ¡è¾¹çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„åŠ ä¿¡æ¯ + Input(*G, &info); + + } + + // æ’入边 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 构造无å‘网 + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("请输入无å‘网的顶点数："); + scanf("%d", &vexnum); + printf("请输入无å‘网的边数："); + scanf("%d", &arcnum); + printf("该无å‘网的边上必须包å«å…¶ä»–附加信æ¯ï¼Œå› ä¸ºæ­¤å¤„çš„æƒå€¼éœ€è¦å­˜å‚¨åˆ°é™„加信æ¯ä¸­...\n"); + IncInfo = 1; + + // 录入顶点集 + printf("请录入 %d 个顶点，ä¸åŒé¡¶ç‚¹ä¹‹é—´ç”¨ç©ºæ ¼éš”开：", vexnum); + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // 录入顶点数 + ReadData(fp, "%d", &arcnum); // 录入边数 + ReadData(fp, "%d", &IncInfo);// 判断边上是å¦åŒ…å«é™„åŠ ä¿¡æ¯ + IncInfo = 1; // 强制将æƒå€¼å½•å…¥åˆ°é™„加信æ¯ä¸­ + + // 录入顶点集 + for(i = 0; i < vexnum; i++) { + // 跳过空白，寻找下一个"å¯è¯»"ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // 仅在控制å°å½•å…¥ä¿¡æ¯æ—¶è¾“出此æ示 + if(fp == NULL && arcnum != 0) { + printf("请为无å‘网ä¾æ¬¡å½•å…¥ %d æ¡è¾¹(带æƒå€¼)çš„ä¿¡æ¯ï¼Œé¡¶ç‚¹åŠæƒå€¼ä¹‹é—´ç”¨ç©ºæ ¼éš”开：\n", arcnum); + } + + // å½•å…¥è¾¹çš„ä¿¡æ¯ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("第 %2d æ¡è¾¹åŠå…¶æƒå€¼ï¼š", k + 1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v1); + skipBlank(stdin); // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + scanf("%c", &v2); + } else { + // 跳过空白，寻找下一个å¯è¯»ç¬¦å· + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // 如果需è¦å½•å…¥è¾¹çš„å…¶ä»–é™„åŠ ä¿¡æ¯ + if(IncInfo) { + // 最åŽå½•å…¥é™„加信æ¯(此处需è¦å½•å…¥ç½‘çš„æƒå€¼) + Input(*G, &info); + } + + // æ’入边 + InsertArc(G, v1, v2, info); + } + + // 从文件中读å–æ•°æ®æ—¶ï¼Œæœ€åŽå…¶å®žåº”当判断一下是å¦è¯»åˆ°äº†è¶³å¤Ÿçš„ä¿¡æ¯ + return OK; +} + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // 在"网"的情形下需è¦å½•å…¥æƒå€¼ä¿¡æ¯ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(ALGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // 指定的顶点ä¸å­˜åœ¨ + } + + return G.vertices[v].data; +} + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // 是å¦ä¸ºè¦†ç›–添加 + InfoType* info = NULL; // è¾¹/å¼§çš„é™„åŠ ä¿¡æ¯ + va_list ap; + + tail = LocateVex(*G, v); // 获å–顶点v在顶点集中的ä½ç½® + if(tail == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + head = LocateVex(*G, w); // 获å–顶点w在顶点集中的ä½ç½® + if(head == -1) { + return ERROR; // 指定的顶点ä¸å­˜åœ¨ + } + + // æ‹’ç»çŽ¯ + if(tail == head) { + return ERROR; + } + + // 如果边/å¼§ä¸Šå­˜åœ¨é™„åŠ ä¿¡æ¯ + if(IncInfo) { + va_start(ap, w); // 在wåŽæŸ¥è¯¢é¦–个å¯å˜å‚æ•° + info = va_arg(ap, InfoType*); // 获å–é™„åŠ ä¿¡æ¯ + va_end(ap); + } + + /* 接下æ¥ï¼Œéœ€è¦æŸ¥æ‰¾åˆé€‚çš„æ’å…¥ä½ç½® */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // 指å‘以tail为尾的首æ¡è¾¹/弧 + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // é‡åˆ°äº†ç›¸åŒä½ç½®çš„结点 + if(r != NULL && r->adjvex == head) { + r->info = info; // å¤ç”¨è¯¥ç»“点 + overlay = TRUE; // å‘生了覆盖 + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // 如果当å‰å›¾/网是无å‘的，需è¦è€ƒè™‘对称性 + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // 颠倒iå’Œj + k = tail; + tail = head; + head = k; + } else { + break; // 如果是有å‘的，å¯ä»¥ç»“æŸäº† + } + } + + // 在éžè¦†ç›–的情形下，æ‰è€ƒè™‘æ›´æ–°è¾¹/å¼§çš„æ•°é‡ + if(!overlay) { + (*G).arcnum++; // ä¸è®ºæœ‰å‘æ— å‘，边/弧数åªå¢žä¸€ + } + + return OK; +} + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("空图，无需打å°ï¼\n"); + return; + } + + printf("当å‰å›¾/ç½‘åŒ…å« %2d 个顶点， %2d æ¡è¾¹/弧...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // 对于网，会从其附加信æ¯ä¸­èŽ·å–到æƒå€¼ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/CLion/ExerciseBook/07.42/ALGraph.h b/CLion/ExerciseBook/07.42/ALGraph.h new file mode 100644 index 0000000..d8476d2 --- /dev/null +++ b/CLion/ExerciseBook/07.42/ALGraph.h @@ -0,0 +1,150 @@ +/*================== + * 图的邻接表存储表示 + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // æä¾›memsetã€strcmp 原型 +#include // æä¾›å®va_listã€va_startã€va_argã€va_end +#include // æä¾›mallocã€reallocã€freeã€exit原型 +#include "Status.h" //**â–²01 绪论**// + +/* + * 注： + * + * 通常æ¥è®²ï¼Œæ— æƒå›¾è¢«ç®€ç§°ä¸ºã€å›¾ã€‘，有æƒå›¾è¢«ç®€ç§°ä¸ºã€ç½‘】。 + * æ— å‘图/网中的顶点关系被称为ã€è¾¹ã€‘，有å‘图/网中的顶点关系被称为ã€å¼§ã€‘，并区分弧头与弧尾。 + * 实际表述中，未必会严格éµå®ˆä»¥ä¸Šå‘½å。 + * + * 当å‰ç»“构适åˆå­˜å‚¨è¾¹/弧比较稀ç–的图/网。 + * + * ★ æ’入边/弧的信æ¯æ—¶ï¼Œè¿™é‡Œçš„实现是按"å‡åº"æ’入的，这使得æ’入的弧是按"å‡åº"排列的。 + */ + + +/* å®å®šä¹‰ */ +#define MAX_VERTEX_NUM 26 // 最大顶点个数 + + +// 图的类型 +typedef enum { + DG, // 0-有å‘图 + DN, // 1-有å‘网(带æƒå€¼) + UDG, // 2-æ— å‘图 + UDN // 3-æ— å‘网(带æƒå€¼) +} GraphKind; + +// 顶点类型 +typedef char VertexType; + +// è¾¹/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ +typedef struct { + /* + * 注： + * æ•™æ中给出的结构åªè€ƒè™‘了无æƒå›¾ï¼Œè€Œæ²¡è€ƒè™‘有æƒå›¾(网)。 + * 这里为了把“网â€çš„情形也考虑进去，特在附加信æ¯ä¸­å¢žåŠ äº†"æƒé‡"属性。 + */ + int weight; +} InfoType; + +/* è¾¹/弧结点 */ +typedef struct ArcNode { + int adjvex; // 该弧所指å‘的顶点的ä½ç½® + struct ArcNode* nextarc; // 指å‘下一æ¡å¼§çš„指针 + InfoType* info; // 弧的附加信æ¯ï¼Œé€šå¸¸å¿½ç•¥ +} ArcNode; + +// æ¯ä¸ªé“¾è¡¨çš„头结点 +typedef struct VNode { + VertexType data; // é¡¶ç‚¹ä¿¡æ¯ + ArcNode* firstarc; // 指å‘第一æ¡ä¾é™„该顶点的弧的指针 +} VNode; + +/* 图的邻接表存储表示类型定义 */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // 邻接表 + int vexnum, arcnum; // 图/网的顶点数和弧数 + GraphKind kind; // 图的类型标志 +} ALGraph; + + +// è¾¹/弧上是å¦å­˜åœ¨é™„åŠ ä¿¡æ¯ +extern Boolean IncInfo; + + +/* + * 创建 + * + *ã€å¤‡æ³¨ã€‘ + * + * æ•™æ中默认从控制å°è¯»å–æ•°æ®ã€‚ + * 这里为了方便测试，é¿å…æ¯æ¬¡è¿è¡Œéƒ½æ‰‹åŠ¨è¾“入数æ®ï¼Œ + * 因而å…许选择从预设的文件path中读å–测试数æ®ã€‚ + * + * 如果需è¦ä»ŽæŽ§åˆ¶å°è¯»å–æ•°æ®ï¼Œåˆ™path为NULL，或path[kind]为""。 + * 如果需è¦ä»Žæ–‡ä»¶ä¸­è¯»å–æ•°æ®ï¼Œåˆ™éœ€è¦åœ¨path中填写文件åä¿¡æ¯ã€‚ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * 构造有å‘图 + */ +static Status CreateDG(ALGraph* G); + +/* + * 构造有å‘网 + */ +static Status CreateDN(ALGraph* G); + +/* + * 构造无å‘图 + */ +static Status CreateUDG(ALGraph* G); + +/* + * 构造无å‘网 + */ +static Status CreateUDN(ALGraph* G); + +/* + * 录入边/å¼§çš„ç›¸å…³é™„åŠ ä¿¡æ¯ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * 查找 + * + * 返回顶点u在图/网中的ä½ç½® + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * å–值 + * + * 返回索引v处的顶点值 + */ +VertexType GetVex(ALGraph G, int v); + +/* + * 构造一个边/弧结点(ä»…é™å†…部使用) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * æ’入边/弧 + * + * 如果当å‰å›¾/网是无å‘的，则æ’入一æ¡å¼§éœ€è¦å¢žåŠ ä¸¤ä¸ªé¡¶ç‚¹å…³ç³»ï¼Œä½†å¼§çš„æ•°é‡åªå¢žä¸€ã€‚ + * 对于图/网æ¥è¯´ï¼Œå¯ä»¥åœ¨å¯å˜å‚数中列出边/弧的附加信æ¯ã€‚ + * + * 注：此处接收的å‚数与MGraph有些ä¸ä¸€æ ·ï¼šç½‘的附加信æ¯ä¸­åŒ…å«äº†å„æ¡è¾¹/弧的æƒå€¼ã€‚ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * 以图形化形å¼è¾“出当å‰ç»“æž„ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/CLion/ExerciseBook/07.42/CMakeLists.txt b/CLion/ExerciseBook/07.42/CMakeLists.txt new file mode 100644 index 0000000..f3aa3ee --- /dev/null +++ b/CLion/ExerciseBook/07.42/CMakeLists.txt @@ -0,0 +1,12 @@ +# 包å«å…¬å…±åº“ +include_directories(${CMAKE_SOURCE_DIR}/Status) + +# 生æˆå¯æ‰§è¡Œæ–‡ä»¶ +add_executable(07.42 ALGraph.h ALGraph.c ShortestPaths.h ShortestPaths.c 07.42.c) +# 链接公共库 +target_link_libraries(07.42 Scanf_lib) + +# 记录è¦æ‹·è´åˆ°*.exe目录下的资æºæ–‡ä»¶ +file(GLOB TestData TestData*.txt) +# 将资æºæ–‡ä»¶æ‹·è´åˆ°*.exe目录下，ä¸ç„¶æ— æ³•åŠ è½½ +file(COPY ${TestData} DESTINATION ${CMAKE_CURRENT_BINARY_DIR}) diff --git a/CLion/ExerciseBook/07.42/ShortestPaths.c b/CLion/ExerciseBook/07.42/ShortestPaths.c new file mode 100644 index 0000000..2756d30 --- /dev/null +++ b/CLion/ExerciseBook/07.42/ShortestPaths.c @@ -0,0 +1,334 @@ +/*==================== + * 最短路径算法 + * + * 包å«ç®—法: 7.15ã€7.16 + =====================*/ + +#include "ShortestPaths.h" + +/* + * 存储å„对顶点之间的关系。 + * + * 对于图æ¥è¯´ï¼Œå­˜å‚¨0表示两顶点ä¸ç›´æŽ¥è¿žé€šï¼Œå­˜å‚¨1表示两顶点直接连通； + * 对于网æ¥è¯´ï¼Œå­˜å‚¨çš„是顶点之间的æƒå€¼ï¼Œæƒå€¼ä¸ºINFINITE表示两顶点ä¸ç›´æŽ¥è¿žé€šã€‚ + */ +static int adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; + + +/* + * 应当在执行迪æ°æ–¯ç‰¹æ‹‰ç®—法之å‰è¢«è°ƒç”¨ï¼Œç”¨æ¥è®¡ç®—å„顶点之间的关系。 + */ +void GetAdjs(ALGraph G) { + int i, j; + ArcNode* p; + + for(i = 0; i < G.vexnum; i++) { + // åˆå§‹åŒ–顶点关系 + for(j = 0; j < G.vexnum; j++) { + // 如果是网，åªèµ°æ­¤åˆ†æ”¯ + if(G.kind == DN || G.kind == UDN) { + adjs[i][j] = INFINITE; + } + + // 如果是图，åªèµ°æ­¤åˆ†æ”¯ + if(G.kind == DG || G.kind == UDG) { + adjs[i][j] = 0; + } + } + + // 处ç†ç›´æŽ¥è¿žæŽ¥çš„顶点 + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // 如果是网，åªèµ°æ­¤åˆ†æ”¯ + if(G.kind == DN || G.kind == UDN) { + adjs[i][p->adjvex] = p->info->weight; + } + + // 如果是图，åªèµ°æ­¤åˆ†æ”¯ + if(G.kind == DG || G.kind == UDG) { + adjs[i][p->adjvex] = 1; + } + } + } +} + +/* + * ████████ 算法7.15 ████████ + * + * 迪æ°æ–¯ç‰¹æ‹‰(Dijkstra)算法求å•æºæœ€çŸ­è·¯å¾„ + * + * @param G å¾…é历的图。 + * @param v0 å•æºæœ€çŸ­è·¯å¾„的起点。 + * @param P 存储从v0到其余å„顶点的最短路径信æ¯ã€‚ + * P[j][k]==TRUE代表从v0->j的最短路径会ç»è¿‡é¡¶ç‚¹kï¼›å¦åˆ™ï¼Œä»£è¡¨ä¸ç»è¿‡ã€‚ + * 注： + * 1.该数组åªå映了顶点的存在性，而未å映顶点在路径上的次åºã€‚ + * 2.如果两顶点之间有多æ¡æœ€çŸ­è·¯å¾„，åªä¼šé€‰å–ä¸€æ¡ + * @param D 存储从v0到其余å„顶点的最短路径代价，在图中，该代价是步长和，在网中，该代价是æƒå€¼å’Œã€‚ + */ +void ShortestPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D) { + int v, w, i, j, min; + Status final[MAX_VERTEX_NUM]; // 用æ¥æ ‡è®°å½“å‰ç»“点是å¦å·²ç»è®¿é—®è¿‡ï¼Œå³æ˜¯å¦å·²åŠ å…¥æœ€çŸ­è·¯å¾„ + + /* + * 预设已访问过的顶点集为S，未访问过的顶点集为V-S + * åˆå§‹æ—¶ï¼Œé¡¶ç‚¹é›†S为空，而顶点集V-S为所有顶点的集åˆV + */ + for(v = 0; v < G.vexnum; v++) { + // åˆå§‹æ—¶ï¼Œæ‰€æœ‰é¡¶ç‚¹å‡æœªè®¿é—®è¿‡ + final[v] = FALSE; + + // åˆå§‹åŒ–v0->v的路径代价 + D[v] = adjs[v0][v]; + + // 预设从v0->vä¸éœ€è¦ç»è¿‡é¡¶ç‚¹w，å³è®¾ç©ºè·¯å¾„ + for(w = 0; w < G.vexnum; w++) { + P[v][w] = FALSE; + } + + // 如果是网，åªèµ°æ­¤åˆ†æ”¯(æ•™æåªå¤„ç†äº†æ­¤ç§æƒ…å½¢) + if(G.kind == DN || G.kind == UDN) { + // 如果v0->v直接连通 + if(D[v] < INFINITE) { + P[v][v0] = TRUE; // 指示v0->vå¿…å°†ç»è¿‡é¡¶ç‚¹v0(端点一) + P[v][v] = TRUE; // 指示v0->vå¿…å°†ç»è¿‡é¡¶ç‚¹v(端点二) + } + } + + // 如果是图，åªèµ°æ­¤åˆ†æ”¯ + if(G.kind == DG || G.kind == UDG) { + // 如果v0到v直接连通 + if(D[v] != 0) { + P[v][v0] = TRUE; // 指示v0->vå¿…å°†ç»è¿‡é¡¶ç‚¹v0(端点一) + P[v][v] = TRUE; // 指示v0->vå¿…å°†ç»è¿‡é¡¶ç‚¹v(端点二) + } + } + } + + // åˆå§‹åŒ–，v0进入顶点集S + D[v0] = 0; + final[v0] = TRUE; + + /* + * 开始主循环，é历其余G1.vexnum-1个顶点。 + * æ¯æ¬¡æ±‚å¾—v0到æŸä¸ªé¡¶ç‚¹çš„最短路径，则将该顶点从顶点集V-S中挪到顶点集S中 + */ + for(i = 1; i < G.vexnum; i++) { + /* + * æ¯æ¬¡è¿›å…¥é€‰å–最近顶点之å‰ï¼Œéƒ½åº”当将vé‡ç½®ä¸ºä¸€ä¸ªæ­£å¸¸é¡¶ç‚¹åºå·ä¹‹å¤–的值 + * (æ•™æ中无此步骤，需è¦è¡¥ä¸Šï¼Œå¦åˆ™ä¼šè¿›è¡Œå¾ˆå¤šæ¬¡æ— æ•ˆçš„循环) + */ + v = -1; + + // 记录å„顶点与顶点v0的最短è·ç¦» + min = INFINITE; + + // é历顶点集V-S(所有未加入路径的顶点)，从中选出è·ç¦»v0更近的顶点 + for(w = 0; w < G.vexnum; w++) { + // 如果w顶点在V-S中(未加入最短路径) + if(!final[w]) { + // 对于图æ¥è¯´ï¼Œè·ç¦»ä¸º0æ„味ç€ä¸¤é¡¶ç‚¹ä¸è¿žé€š + if((G.kind == DG || G.kind == UDG) && D[w] == 0) { + continue; + } + + // 如果v0到wçš„è·ç¦»D[w]å°äºŽå½“å‰é¢„设的最å°è·ç¦»ï¼Œåˆ™éœ€è¦æ›´æ–°é¡¶ç‚¹å’Œè·ç¦»ä¿¡æ¯ + if(D[w] < min) { + v = w; // 记下未访问的顶点中è·ç¦»v0更近的顶点，或者å¯ä»¥ç†è§£ä¸ºè®°ä¸‹é¡¶ç‚¹é›†V-S中è·ç¦»é¡¶ç‚¹é›†S更近的顶点 + min = D[w]; // 记下更近的è·ç¦» + } + } + } + + // 找到了更近的顶点 + if(v != -1) { + // 将顶点集V-S中当å‰è·ç¦»v0顶点最近的v加入S集 + final[v] = TRUE; + } else { + // 如果没找到更近的顶点，说明顶点v0与V-S中的剩余顶点没有连接，此时å¯ä»¥ç›´æŽ¥ç»“æŸç¨‹åºäº† + return; + } + + // 以上述的顶点våšè·³æ¿ï¼Œæ›´æ–°é¡¶ç‚¹v0到V-S集中其余点顶点的最短路径 + for(w = 0; w < G.vexnum; w++) { + // 如果是网，åªèµ°æ­¤åˆ†æ”¯(æ•™æåªå¤„ç†äº†æ­¤ç§æƒ…å½¢) + if(G.kind == DN || G.kind == UDN) { + /* + * 为了é¿å…溢出，需è¦ç¡®ä¿adjs[v][w]ä¸ä¸ºINFINITE。 + * 此处其实没必è¦åˆ¤æ–­min!=INFINITE，因为如果没找到更近的顶点时，上é¢å°±æå‰è¿”回了。 + * (æ•™æ的伪ç ä¸­æœªå¤„ç†æº¢å‡ºï¼Œæ•…需è¦è‡ªè¡Œæ·»åŠ ) + */ + if(min != INFINITE && adjs[v][w] != INFINITE) { + // 更新顶点集S到顶点集V-S的最近è·ç¦» + if(!final[w] && (min + adjs[v][w] < D[w])) { + // æ›´æ–°è·ç¦»ï¼šç”±äºŽé¡¶ç‚¹v0->wç»ç”±våŽä¼šèŽ·å¾—更短的è·ç¦»ï¼Œæ•…此处需è¦è®°ä¸‹è¯¥è·ç¦» + D[w] = min + adjs[v][w]; + + /* 更新路径：P[w] = P[v] + [w] */ + + // 先将v0->w的路径更新为v0->j的路径 + for(j = 0; j < G.vexnum; j++) { + P[w][j] = P[v][j]; + } + + // å†å°†w添加到v0->w的路径中 + P[w][w] = TRUE; + } + } + } + + // 如果是图，åªèµ°æ­¤åˆ†æ”¯ + if(G.kind == DG || G.kind == UDG) { + // 更新顶点集S到顶点集V-S的最近è·ç¦» + if(!final[w] && adjs[v][w] != 0 && D[w] == 0) { + // æ›´æ–°è·ç¦»ï¼šç”±äºŽé¡¶ç‚¹v0->wç»ç”±våŽä¼šèŽ·å¾—更短的è·ç¦»ï¼Œæ•…此处需è¦è®°ä¸‹è¯¥è·ç¦» + D[w] = D[v] + 1; // 图中相邻顶点步长为1 + + /* 更新路径：P[w] = P[v] + [w] */ + + // 先将v0->w的路径更新为v0->j的路径 + for(j = 0; j < G.vexnum; j++) { + P[w][j] = P[v][j]; + } + + // å†å°†w添加到v0->w的路径中 + P[w][w] = TRUE; + } + } + } + } +} + +/* + * 打å°ä½¿ç”¨è¿ªæ°æ–¯ç‰¹æ‹‰(Dijkstra)算法求å–çš„å•æºæœ€çŸ­è·¯å¾„ + */ +void PrintPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D) { + int j; + + // é历所有路径 + for(j = 0; j < G.vexnum; j++) { + if(P[j][v0] == FALSE) { + printf("%c 到 %c 之间没有通路\n", GetVex(G, v0), GetVex(G, j)); + continue; + } + + printf("%c 到 %c 之间的最短è·ç¦»ä¸º%2d，其最短路径为：", GetVex(G, v0), GetVex(G, j), D[j]); + + /* + * å°†v0->j之间的无åºé¡¶ç‚¹æŽ’列æˆä¸€æ¡æœ‰åºè·¯å¾„åŽæ‰“å° + * P[i]指示v0->jè¿™æ¡è·¯å¾„上ç»è¿‡çš„顶点 + */ + PrintPath(G, v0, j, P[j]); + } +} + +/* + * 打å°ä»Ža到b的路径，该路径的顶点信æ¯ä½äºŽP中 + */ +static void PrintPath(ALGraph G, int a, int b, Boolean P[MAX_VERTEX_NUM]) { + int i; + int vexs[MAX_VERTEX_NUM + 1]; + int path[MAX_VERTEX_NUM + 1]; + + vexs[0] = 0; + + // 获å–v0->iè¿™æ¡é€”径上的所有顶点，å¯èƒ½æ˜¯æ— åºçš„ + for(i = 0; i < G.vexnum; i++) { + if(P[i] == TRUE) { + vexs[0]++; + vexs[vexs[0]] = i; + } + } + + // åªæœ‰ä¸¤ä¸ªé¡¶ç‚¹çš„æƒ…å½¢ä¸‹å¿«é€Ÿå¤„ç† + if(vexs[0] == 2) { + path[0] = 2; + path[1] = a; + path[2] = b; + goto print; + } + + // åªæœ‰ä¸‰ä¸ªé¡¶ç‚¹çš„æƒ…å½¢ä¸‹å¿«é€Ÿå¤„ç† + if(vexs[0] == 3) { + path[0] = 3; + path[1] = a; + for(i = 1; i <= vexs[0]; i++) { + if(vexs[i] != a && vexs[i] != b) { + path[2] = vexs[i]; + break; + } + } + path[3] = b; + goto print; + } + + path[0] = 1; + path[1] = a; + + for(i = 1; i <= vexs[0]; i++) { + if(vexs[i] == a) { + vexs[i] = -1; + break; + } + } + + Find(G, a, b, vexs, path); + +print: + // 打å°æŽ’列好的路径 + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + + printf("\n"); +} + +/* + * 利用广度预先æœç´¢æ‰¾åˆ°ä¸€æ¡ä»Žpre到b的路径，该路径上路过的所有顶点ä½äºŽvexs中，找出的路径存储到path中 + */ +static Status Find(ALGraph G, int pre, int b, int vexs[MAX_VERTEX_NUM + 1], int path[MAX_VERTEX_NUM + 1]) { + int i; + int tmp; + Status s; + + for(i = 1; i <= vexs[0]; i++) { + // 已加入到路径 + if(vexs[i] == -1) { + continue; + } + + // ä¸è¿žé€š + if(((G.kind == DN || G.kind == UDN) && adjs[pre][vexs[i]] == INFINITE) + || ((G.kind == DG || G.kind == UDG) && adjs[pre][vexs[i]] == 0)) { + continue; + } + + path[0]++; + path[path[0]] = vexs[i]; + + // é‡åˆ°ç»ˆç‚¹ + if(vexs[i] == b) { + // 找到了最短路径 + if(path[0] == vexs[0]) { + return OK; + } else { + path[0]--; + continue; + } + } + + tmp = vexs[i]; + vexs[i] = -1; + + s = Find(G, tmp, b, vexs, path); + + if(s == OK) { + return OK; + } else { + // æ¢å¤è¯¥é¡¶ç‚¹ï¼Œä»¥ä¾¿åŽç»­é‡æ–°æœç´¢ + vexs[i] = tmp; + path[0]--; + } + } + + return ERROR; +} diff --git a/CLion/ExerciseBook/07.42/ShortestPaths.h b/CLion/ExerciseBook/07.42/ShortestPaths.h new file mode 100644 index 0000000..8c175a5 --- /dev/null +++ b/CLion/ExerciseBook/07.42/ShortestPaths.h @@ -0,0 +1,59 @@ +/*==================== + * 最短路径算法 + * + * 包å«ç®—法: 7.15ã€7.16 + =====================*/ + +#ifndef SHORTESTPATHS_H +#define SHORTESTPATHS_H + +#include +#include +#include "Status.h" //**â–²01 绪论**// +#include "ALGraph.h" //**â–²07 图**// + +// æƒå€¼çš„最大值，用在网中，表示两顶点ä¸ç›´æŽ¥è¿žé€š +#define INFINITE INT_MAX + + +// Dijkstra算法中的最短路径矩阵，是一个二维数组 +typedef Boolean PathMatrix_DIJ[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; +// Dijkstra算法中的最短路径代价，该代价å¯èƒ½æ˜¯æ­¥é•¿å’Œï¼Œä¹Ÿå¯èƒ½æ˜¯æƒå€¼å’Œ +typedef int ShortPathTable_DIJ[MAX_VERTEX_NUM]; + + +/* + * 应当在执行迪æ°æ–¯ç‰¹æ‹‰ç®—法之å‰è¢«è°ƒç”¨ï¼Œç”¨æ¥è®¡ç®—å„顶点之间的关系。 + */ +void GetAdjs(ALGraph G); + +/* + * ████████ 算法7.15 ████████ + * + * 迪æ°æ–¯ç‰¹æ‹‰(Dijkstra)算法求å•æºæœ€çŸ­è·¯å¾„ + * + * @param G å¾…é历的图。 + * @param v0 å•æºæœ€çŸ­è·¯å¾„的起点。 + * @param P 存储从v0到其余å„顶点的最短路径信æ¯ã€‚ + * P[j][k]==TRUE代表从v0->j的最短路径会ç»è¿‡é¡¶ç‚¹kï¼›å¦åˆ™ï¼Œä»£è¡¨ä¸ç»è¿‡ã€‚ + * 注：该数组åªå映了顶点的存在性，而未å映顶点在路径上的次åºã€‚ + * @param D 存储从v0到其余å„顶点的最短路径代价，在图中，该代价是步长和，在网中，该代价是æƒå€¼å’Œã€‚ + */ +void ShortestPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D); + +/* + * 打å°ä½¿ç”¨è¿ªæ°æ–¯ç‰¹æ‹‰(Dijkstra)算法求å–çš„å•æºæœ€çŸ­è·¯å¾„ + */ +void PrintPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D); + +/* + * 打å°ä»Ža到b的路径，该路径的顶点信æ¯ä½äºŽP中 + */ +static void PrintPath(ALGraph G, int a, int b, Boolean P[MAX_VERTEX_NUM]) ; + +/* + * 利用广度预先æœç´¢æ‰¾åˆ°ä¸€æ¡ä»Žpre到b的路径，该路径上路过的所有顶点ä½äºŽvexs中，找出的路径存储到path中 + */ +static Status Find(ALGraph G, int pre, int b, int vexs[MAX_VERTEX_NUM], int path[MAX_VERTEX_NUM]); + +#endif diff --git a/CLion/ExerciseBook/07.42/TestData_DG.txt b/CLion/ExerciseBook/07.42/TestData_DG.txt new file mode 100644 index 0000000..0173cf8 --- /dev/null +++ b/CLion/ExerciseBook/07.42/TestData_DG.txt @@ -0,0 +1,6 @@ +图类型→0（有å‘图） +顶点数→14 +弧数→20 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L，M，N】 +弧的集åˆâ†’ã€A，C】ã€A，F】ã€B，A】ã€B，H】ã€C，B】ã€D，G】ã€E，H】ã€E，C】ã€F，I】ã€F，G】ã€H，E】ã€H，J】ã€I，E】ã€I，D】ã€I，G】ã€J，D】ã€L，N】ã€N，M】ã€M，L】ã€M，K】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.42/TestData_DN.txt b/CLion/ExerciseBook/07.42/TestData_DN.txt new file mode 100644 index 0000000..23165c3 --- /dev/null +++ b/CLion/ExerciseBook/07.42/TestData_DN.txt @@ -0,0 +1,6 @@ +图类型→1（有å‘网） +顶点数→14 +弧数→20 +弧是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’1 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L，M，N】 +弧的集åˆâ†’ã€A，C，15】ã€A，F，1】ã€B，A，5】ã€B，H，4】ã€C，B，5】ã€D，G，2】ã€E，H，20】ã€E，C，4】ã€F，I，5】ã€F，G，15】ã€H，E，2】ã€H，J，1】ã€I，E，3】ã€I，D，3】ã€I，G，8】ã€J，D，2】ã€L，N，2】ã€N，M，3】ã€M，L，1】ã€M，K，4】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.42/TestData_UDG.txt b/CLion/ExerciseBook/07.42/TestData_UDG.txt new file mode 100644 index 0000000..a513bf8 --- /dev/null +++ b/CLion/ExerciseBook/07.42/TestData_UDG.txt @@ -0,0 +1,6 @@ +图类型→2（无å‘图） +顶点数→14 +边数→18 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’0 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L，M，N】 +边的集åˆâ†’ã€A，C】ã€C，E】ã€E，I】ã€I，G】ã€G，D】ã€A，B】ã€C，B】ã€E，B】ã€E，H】ã€H，J】ã€J，D】ã€A，F】ã€F，I】ã€F，G】ã€L，M】ã€L，N】ã€M，N】ã€M，K】 \ No newline at end of file diff --git a/CLion/ExerciseBook/07.42/TestData_UDN.txt b/CLion/ExerciseBook/07.42/TestData_UDN.txt new file mode 100644 index 0000000..94e2fd6 --- /dev/null +++ b/CLion/ExerciseBook/07.42/TestData_UDN.txt @@ -0,0 +1,6 @@ +图类型→3（无å‘网） +顶点数→14 +边数→18 +边是å¦å¸¦æœ‰å…¶ä»–ä¿¡æ¯â†’1 +顶点集→ã€A，B，C，D，E，F，G，H，I，J，K，L，M，N】 +边的集åˆâ†’ã€A，C，2】ã€C，E，8】ã€E，I，4】ã€I，G，5】ã€G，D，2】ã€A，B，10】ã€C，B，5】ã€E，B，3】ã€E，H，3】ã€H，J，1】ã€J，D，2】ã€A，F，15】ã€F，I，3】ã€F，G，4】ã€L，M，10】ã€L，N，3】ã€M，N，2】ã€M，K，1】 \ No newline at end of file diff --git a/CLion/ExerciseBook/CMakeLists.txt b/CLion/ExerciseBook/CMakeLists.txt index 83092aa..35d6eff 100644 --- a/CLion/ExerciseBook/CMakeLists.txt +++ b/CLion/ExerciseBook/CMakeLists.txt @@ -122,3 +122,29 @@ add_subdirectory(06.71) add_subdirectory(06.72) add_subdirectory(06.73-06.74) add_subdirectory(06.75-06.76) + +add_subdirectory(07.14+07.16) +add_subdirectory(07.15) +add_subdirectory(07.17) +add_subdirectory(07.18-07.19) +add_subdirectory(07.20) +add_subdirectory(07.21) +add_subdirectory(07.22-07.23) +add_subdirectory(07.24) +add_subdirectory(07.25) +add_subdirectory(07.26) +add_subdirectory(07.27) +add_subdirectory(07.28) +add_subdirectory(07.29) +add_subdirectory(07.30) +add_subdirectory(07.31) +add_subdirectory(07.32) +add_subdirectory(07.33) +add_subdirectory(07.34) +add_subdirectory(07.35) +add_subdirectory(07.36-07.37) +add_subdirectory(07.38) +add_subdirectory(07.39) +add_subdirectory(07.40) +add_subdirectory(07.41) +add_subdirectory(07.42) diff --git a/Dev-C++/ExerciseBook/07.14+07.16/07.14+07.16.cpp b/Dev-C++/ExerciseBook/07.14+07.16/07.14+07.16.cpp new file mode 100644 index 0000000..9255fac --- /dev/null +++ b/Dev-C++/ExerciseBook/07.14+07.16/07.14+07.16.cpp @@ -0,0 +1,181 @@ +#include +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ´´½¨Í¼/±í + */ +Status CreateGraph_7_14(ALGraph* G, char* path[]); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_16(ALGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_16(ALGraph* G, VertexType v); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_16(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_16(ALGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ/Íø...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph_7_14(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý¶¥µã...\n"); + { + VertexType v = 'X'; + + printf("ɾ³ý¶¥µã '%c' ºóµÄͼΪ£º\n", v); + DeleteVex_7_16(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈ붥µã...\n"); + { + VertexType v = 'Y'; + + printf("²åÈ붥µã '%c' ºóµÄͼΪ£º\n", v); + InsertVex_7_16(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈë±ß/»¡...\n"); + { + // ×¢£ºÊÇÖظ´µÄ±ß + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + InfoType info[10] = {{8}, {5}, {1}, {11}, {2}, {6}, {3}, {7}, {2}, {9}}; + int k; + + // ͼ + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("²åÈëÎÞȨֵµÄ±ß£º<%c, %c>...\n", v[k], w[k]); + InsertArc_7_16(&G, v[k], w[k]); + } + + // Íø + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("²åÈë´øȨֵµÄ±ß£º<%c, %c, %d>...\n", v[k], w[k], info[k].weight); + InsertArc_7_16(&G, v[k], w[k], &info[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý±ß/»¡...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("ɾ³ý±ß£º<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_16(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * ´´½¨Í¼/±í + */ +Status CreateGraph_7_14(ALGraph* G, char* path[]) { + return CreateGraph(G, path); +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_16(ALGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_16(ALGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_16(ALGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + return InsertArc(G, v, w, info); +} + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_16(ALGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/Dev-C++/ExerciseBook/07.14+07.16/07.14+07.16.dev b/Dev-C++/ExerciseBook/07.14+07.16/07.14+07.16.dev new file mode 100644 index 0000000..f976fbc --- /dev/null +++ b/Dev-C++/ExerciseBook/07.14+07.16/07.14+07.16.dev @@ -0,0 +1,118 @@ +[Project] +FileName=07.14+07.16.dev +Name=07.14+07.16 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 +UnitCount=7 + +[VersionInfo] +Major=1 +Minor=0 +Release=0 +Build=0 +LanguageID=1033 +CharsetID=1252 +CompanyName= +FileVersion= +FileDescription=Developed using the Dev-C++ IDE +InternalName= +LegalCopyright= +LegalTrademarks= +OriginalFilename= +ProductName= +ProductVersion= +AutoIncBuildNr=0 +SyncProduct=1 + +[Unit1] +FileName=07.14+07.16.cpp +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit2] +FileName=ALGraph.cpp +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit3] +FileName=ALGraph.h +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit4] +FileName=TestData_DG.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit5] +FileName=TestData_DN.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit6] +FileName=TestData_UDG.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit7] +FileName=TestData_UDN.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + diff --git a/Dev-C++/ExerciseBook/07.14+07.16/ALGraph.cpp b/Dev-C++/ExerciseBook/07.14+07.16/ALGraph.cpp new file mode 100644 index 0000000..3b0515d --- /dev/null +++ b/Dev-C++/ExerciseBook/07.14+07.16/ALGraph.cpp @@ -0,0 +1,737 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo);// Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢(´Ë´¦Ó¦µ±°üº¬) + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(ALGraph* G, VertexType v) { + int k; + + // ¶¥µãÊý¹ý¶à + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // Ö¸¶¨µÄ¶¥µã´æÔÚʱ£¬ÎÞÐèÖظ´Ìí¼Ó + } + + G->vertices[(*G).vexnum].data = v; + G->vertices[(*G).vexnum].firstarc = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(ALGraph* G, VertexType v) { + int k, i; + ArcNode* pre, * r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ÕÒµ½ÒÔ½áµãv³ö·¢µÄÁ´±í£¬ÊͷŸÃÁ´±íÉÏËùÓнáµã + r = G->vertices[k].firstarc; + while(r != NULL) { + pre = r; + r = r->nextarc; + free(pre); + + (*G).arcnum--; + } + + G->vertices[k].firstarc = NULL; + + // ±éÀúÆäËüËùÓÐÁ´±í£¬É¾³ýÄÇЩָÏò¶¥µãvµÄ»¡£»¶øÇÒ£¬Ï±곬¹ýkµÄ¶¥µã£¬ÆäϱêÖµÐèÒªµÝ¼õ + for(i = 0; i < G->vexnum; i++) { + pre = NULL; + r = G->vertices[i].firstarc; + while(r != NULL && r->adjvex < k) { + pre = r; + r = r->nextarc; + } + + // Á´±íÉÏËùÓж¥µãµÄϱê¾ùСÓÚk + if(r == NULL) { + continue; + } + + if(r->adjvex == k) { + // ´Ó¿ªÍ·É¾µô½áµãv + if(pre == NULL) { + G->vertices[i].firstarc = r->nextarc; + + // ´ÓÖмäij¸öλÖÃɾµô½áµãv + } else { + pre->nextarc = r->nextarc; + } + + free(r); + + // Èç¹ûÕâÊÇÓÐÏòµÄͼ/Íø£¬ÒÀÈ»ÐèÒªµÝ¼õ±ß/»¡µÄÊýÁ¿ + if((*G).kind == DG || (*G).kind == DN) { + (*G).arcnum--; + } + } + + // ÔÙ´ÎÈ·¶¨rµÄλÖà + if(pre == NULL) { + r = G->vertices[i].firstarc; + } else { + r = pre->nextarc; + } + + // ϱ곬¹ýkµÄ¶¥µã£¬ÐèÒªµÝ¼õÆäϱê + while(r != NULL && r->adjvex > k) { + r->adjvex -= 1; + r = r->nextarc; + } + } + + // ¶¥µã¼¯Ç°ÒÆ + for(i = k + 1; i < (*G).vexnum; i++) { + G->vertices[i - 1] = G->vertices[i]; + } + + // ¶¥µãÊýµÝ¼õ + (*G).vexnum--; + + return OK; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + for(count = 0; count < 2; count++) { + pre = NULL; + // ÔÚµ±Ç°Á´±íÖÐÕÒµ½´ýɾ³ýµÄ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // ÕÒµ½ÁË´ýɾ³ýµÄ±ß/»¡ + if(r != NULL && r->adjvex == head) { + if(pre == NULL) { + G->vertices[tail].firstarc = r->nextarc; + } else { + pre->nextarc = r->nextarc; + } + + free(r); + } else { + return ERROR; // ûÕÒµ½ + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹tailºÍhead + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + (*G).arcnum--; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»¼õÒ» + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.14+07.16/ALGraph.h b/Dev-C++/ExerciseBook/07.14+07.16/ALGraph.h new file mode 100644 index 0000000..954d08c --- /dev/null +++ b/Dev-C++/ExerciseBook/07.14+07.16/ALGraph.h @@ -0,0 +1,162 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(ALGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(ALGraph* G, VertexType v); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.14+07.16/TestData_DG.txt b/Dev-C++/ExerciseBook/07.14+07.16/TestData_DG.txt new file mode 100644 index 0000000..ae011ea --- /dev/null +++ b/Dev-C++/ExerciseBook/07.14+07.16/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬B¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.14+07.16/TestData_DN.txt b/Dev-C++/ExerciseBook/07.14+07.16/TestData_DN.txt new file mode 100644 index 0000000..c41b879 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.14+07.16/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬B£¬5¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.14+07.16/TestData_UDG.txt b/Dev-C++/ExerciseBook/07.14+07.16/TestData_UDG.txt new file mode 100644 index 0000000..6c08d74 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.14+07.16/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.14+07.16/TestData_UDN.txt b/Dev-C++/ExerciseBook/07.14+07.16/TestData_UDN.txt new file mode 100644 index 0000000..2117df2 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.14+07.16/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.15/07.15.cpp b/Dev-C++/ExerciseBook/07.15/07.15.cpp new file mode 100644 index 0000000..b59fb02 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.15/07.15.cpp @@ -0,0 +1,191 @@ +#include +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "MGraph.h" //**¡ø07 ͼ**// + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_15(MGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_15(MGraph* G, VertexType v); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_15(MGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_15(MGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ/Íø...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý¶¥µã...\n"); + { + VertexType v = 'X'; + + printf("ɾ³ý¶¥µã '%c' ºóµÄͼΪ£º\n", v); + DeleteVex_7_15(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈ붥µã...\n"); + { + VertexType v = 'Y'; + + printf("²åÈ붥µã '%c' ºóµÄͼΪ£º\n", v); + InsertVex_7_15(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈë±ß/»¡...\n"); + { + // ×¢£ºÊÇÖظ´µÄ±ß + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + VRType adj[10] = {8, 5, 1, 11, 2, 6, 3, 7, 2, 9}; + int k; + + // ͼ + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("²åÈëÎÞȨֵµÄ±ß£º<%c, %c>...\n", v[k], w[k]); + InsertArc_7_15(&G, v[k], w[k]); + } + + // Íø + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("²åÈë´øȨֵµÄ±ß£º<%c, %c, %d>...\n", v[k], w[k], adj[k]); + InsertArc_7_15(&G, v[k], w[k], adj[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý±ß/»¡...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("ɾ³ý±ß£º<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_15(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_15(MGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_15(MGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_15(MGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + VRType adj; + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + + // ͼ + if((*G).kind == DG || (*G).kind == UDG) { + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + return InsertArc(G, v, w, info); + + // Íø + } else if((*G).kind == DN || (*G).kind == UDN) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + + adj = va_arg(ap, VRType); // »ñȡȨֵÐÅÏ¢ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + } + + va_end(ap); + + return InsertArc(G, v, w, adj, info); + } else { + return ERROR; + } +} + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_15(MGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/Dev-C++/ExerciseBook/07.15/07.15.dev b/Dev-C++/ExerciseBook/07.15/07.15.dev new file mode 100644 index 0000000..9af10da --- /dev/null +++ b/Dev-C++/ExerciseBook/07.15/07.15.dev @@ -0,0 +1,118 @@ +[Project] +FileName=07.15.dev +Name=07.15 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 +UnitCount=7 + +[VersionInfo] +Major=1 +Minor=0 +Release=0 +Build=0 +LanguageID=1033 +CharsetID=1252 +CompanyName= +FileVersion= +FileDescription=Developed using the Dev-C++ IDE +InternalName= +LegalCopyright= +LegalTrademarks= +OriginalFilename= +ProductName= +ProductVersion= +AutoIncBuildNr=0 +SyncProduct=1 + +[Unit1] +FileName=07.15.cpp +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit2] +FileName=MGraph.cpp +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit3] +FileName=MGraph.h +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit4] +FileName=TestData_DG.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit5] +FileName=TestData_DN.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit6] +FileName=TestData_UDG.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit7] +FileName=TestData_UDN.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + diff --git a/Dev-C++/ExerciseBook/07.15/MGraph.cpp b/Dev-C++/ExerciseBook/07.15/MGraph.cpp new file mode 100644 index 0000000..33ec721 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.15/MGraph.cpp @@ -0,0 +1,719 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#include "MGraph.h" //**¡ø07 ͼ**// + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨Í¼/±í + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÓÐÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // ÓÐÏòÍøÿÌõ»¡µÄ³õʼֵ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòÍøµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + scanf("%d", &w); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ÔÚÖ¸¶¨µÄ¶¥µã¹ØϵÉϼǼȨֵ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = w; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÎÞÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo); // ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÎÞÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + + // Ìî³ä¶Ô³Æµã + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.2 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // ÎÞÏòÍøÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÎÞÏòÍøµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo); // ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÎÞÏòÍøµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + scanf("%d", &w); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ÔÚÖ¸¶¨µÄ¶¥µã¹ØϵÉϼǼȨֵ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = w; + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + + // Ìî³ä¶Ô³Æµã + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info) { + //¼Èë±ß/»¡µÄÐÅÏ¢£¬±¾²âÊÔÉæ¼°µ½µÄ±ß/»¡Ä¬ÈÏÎÞÆäËû¸½¼ÓÐÅÏ¢ +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(MGraph* G, VertexType v) { + int i, k; + VRType adj; + + // ¶¥µãÊý¹ý¶à + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // Ö¸¶¨µÄ¶¥µã´æÔÚʱ£¬ÎÞÐèÖظ´Ìí¼Ó + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if((*G).kind == DG || (*G).kind == UDG) { + adj = 0; // ͼ + } else if((*G).kind == DN || (*G).kind == UDN) { + adj = INFINITE; // Íø + } else { + return ERROR; + } + + (*G).vexs[(*G).vexnum] = v; + (*G).vexnum++; + + for(i = 0; i < (*G).vexnum; i++) { + (*G).arcs[i][(*G).vexnum - 1].adj = adj; + (*G).arcs[(*G).vexnum - 1][i].adj = adj; + } + + return OK; +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(MGraph* G, VertexType v) { + int i, j, k; + VRType adj; + + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if((*G).kind == DG || (*G).kind == UDG) { + adj = 0; // ͼ + } else if((*G).kind == DN || (*G).kind == UDN) { + adj = INFINITE; // Íø + } else { + return ERROR; + } + + // ¸üбß/»¡µÄÊýÁ¿ + for(i = 0; i < (*G).vexnum; i++) { + // Èç¹û´æÔÚ´Ó¶¥µãv³ö·¢µÄ±ß£¬Ôò±ßµÄÊýÁ¿¼õÒ» + if((*G).arcs[k][i].adj != adj) { + (*G).arcnum--; + } + + // Èç¹ûÕâÊÇÓÐÏòµÄͼ/Íø£¬ÒÀÈ»ÐèÒª¸üбß/»¡µÄÊýÁ¿ + if((*G).kind == DG || (*G).kind == DN) { + // Èç¹û´æÔÚµ½´ï¶¥µãvµÄ±ß£¬Ôò±ßµÄÊýÁ¿¼õÒ» + if((*G).arcs[i][k].adj != adj) { + (*G).arcnum--; + } + } + } + + // ½«ÁÚ½Ó¾ØÕóÖеĶ¥µã¹Øϵ×óÒÆ + for(j = k + 1; j < (*G).vexnum; j++) { + for(i = 0; i < (*G).vexnum; i++) { + (*G).arcs[i][j - 1] = (*G).arcs[i][j]; // ÓұߵÄÁÐŲµ½×ó±ßµÄÁÐ + } + } + + // ½«ÁÚ½Ó¾ØÕóÖеĶ¥µã¹ØϵÉÏÒÆ + for(i = k + 1; i < (*G).vexnum; i++) { + // ×¢£¬ÓÉÓÚÉÏÃæ½øÐÐ×óÒƵĹØϵ£¬ËùÒÔÕâÀïµÄjÊÇСÓÚ(*G).vexnum - 1 + for(j = 0; j < (*G).vexnum - 1; j++) { + (*G).arcs[i - 1][j] = (*G).arcs[i][j]; // ÏÂÒ»ÐÐŲµ½ÉÏÒ»ÐÐ + } + } + + // ½«¸Ã¶¥µã´Ó¶¥µã¼¯ÖÐÒƳý + for(i = k + 1; i < (*G).vexnum; i++) { + (*G).vexs[i - 1] = (*G).vexs[i]; + } + + // ¶¥µãÊý¼õÒ» + (*G).vexnum--; + + return OK; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc(MGraph* G, VertexType v, VertexType w, ...) { + int kv, kw; + VRType adj; // ¶¥µã¹Øϵ + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + kv = LocateVex(*G, v); + if(kv == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + kw = LocateVex(*G, w); + if(kw == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(kv == kw) { + return ERROR; + } + + /* È·¶¨Ò»¸ö¶¥µã¹Øϵ */ + + // ¶ÔÓÚͼÀ´Ëµ£¬Á¬Í¨¹ØϵÓÃ1±íʾ + if((*G).kind == DG || (*G).kind == UDG) { + adj = 1; + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + overlay = (*G).arcs[kv][kw].adj != 0; + + // ¶ÔÓÚÍøÀ´Ëµ£¬´Ë´¦ÐèÒª´Ó¿É±ä²ÎÊýÖлñȡȨֵÐÅÏ¢ + } else if((*G).kind == DN || (*G).kind == UDN) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + + adj = va_arg(ap, VRType); // »ñȡȨֵÐÅÏ¢ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + } + + va_end(ap); + + overlay = (*G).arcs[kv][kw].adj != INFINITE; + } else { + return ERROR; + } + + (*G).arcs[kv][kw].adj = adj; // ¼Ç¼¶¥µã¹Øϵ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢£¬Ôò¼Ç¼¸½¼Ó¹Øϵ + if(IncInfo) { + (*G).arcs[kv][kw].info = info; + } + + // Èç¹ûÊÇÎÞÏòͼ/Íø£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((*G).kind == UDG || (*G).kind == UDN) { + (*G).arcs[kw][kv] = (*G).arcs[kv][kw]; + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc(MGraph* G, VertexType v, VertexType w) { + int kv, kw; + VRType adj; + Boolean found = FALSE; // ÊÇ·ñ´æÔÚ´ýɾ³ýµÄ±ß/»¡ + + kv = LocateVex(*G, v); + if(kv == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + kw = LocateVex(*G, w); + if(kw == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if((*G).kind == DG || (*G).kind == UDG) { + adj = 0; // ͼ + + found = (*G).arcs[kv][kw].adj != 0; + } else if((*G).kind == DN || (*G).kind == UDN) { + adj = INFINITE; // Íø + + found = (*G).arcs[kv][kw].adj != INFINITE; + } else { + return ERROR; + } + + // ±ê¼ÇÕâÁ½¸ö¶¥µãÒѶϿªÁ¬½Ó + (*G).arcs[kv][kw].adj = adj; + + // Èç¹ûÊÇÎÞÏòͼ/Íø£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((*G).kind == UDG || (*G).kind == UDN) { + (*G).arcs[kw][kv] = (*G).arcs[kv][kw]; + } + + // ÔÚÕÒµ½ÁËÖ¸¶¨µÄ»¡Ê±£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(found) { + (*G).arcnum--; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»¼õÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.15/MGraph.h b/Dev-C++/ExerciseBook/07.15/MGraph.h new file mode 100644 index 0000000..9a8a555 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.15/MGraph.h @@ -0,0 +1,160 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(MGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(MGraph* G); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.2 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(MGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(MGraph* G, VertexType v); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc(MGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc(MGraph* G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.15/TestData_DG.txt b/Dev-C++/ExerciseBook/07.15/TestData_DG.txt new file mode 100644 index 0000000..ae011ea --- /dev/null +++ b/Dev-C++/ExerciseBook/07.15/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬B¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.15/TestData_DN.txt b/Dev-C++/ExerciseBook/07.15/TestData_DN.txt new file mode 100644 index 0000000..4baec42 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.15/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬B£¬5¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.15/TestData_UDG.txt b/Dev-C++/ExerciseBook/07.15/TestData_UDG.txt new file mode 100644 index 0000000..6c08d74 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.15/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.15/TestData_UDN.txt b/Dev-C++/ExerciseBook/07.15/TestData_UDN.txt new file mode 100644 index 0000000..ed04fb4 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.15/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.17/07.17.cpp b/Dev-C++/ExerciseBook/07.17/07.17.cpp new file mode 100644 index 0000000..384edfe --- /dev/null +++ b/Dev-C++/ExerciseBook/07.17/07.17.cpp @@ -0,0 +1,169 @@ +#include +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "OLGraph.h" //**¡ø07 ͼ**// + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_17(OLGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_17(OLGraph* G, VertexType v); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_17(OLGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_17(OLGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + OLGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ/Íø...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý¶¥µã...\n"); + { + VertexType v = 'X'; + + printf("ɾ³ý¶¥µã '%c' ºóµÄͼΪ£º\n", v); + DeleteVex_7_17(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈ붥µã...\n"); + { + VertexType v = 'Y'; + + printf("²åÈ붥µã '%c' ºóµÄͼΪ£º\n", v); + InsertVex_7_17(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈë±ß/»¡...\n"); + { + // ×¢£ºÊÇÖظ´µÄ±ß + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + InfoType info[10] = {{8}, {5}, {1}, {11}, {2}, {6}, {3}, {7}, {2}, {9}}; + int k; + + // ͼ + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("²åÈëÎÞȨֵµÄ±ß£º<%c, %c>...\n", v[k], w[k]); + InsertArc_7_17(&G, v[k], w[k]); + } + + // Íø + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("²åÈë´øȨֵµÄ±ß£º<%c, %c, %d>...\n", v[k], w[k], info[k].weight); + InsertArc_7_17(&G, v[k], w[k], &info[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý±ß/»¡...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("ɾ³ý±ß£º<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_17(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_17(OLGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_17(OLGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_17(OLGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + return InsertArc(G, v, w, info); +} + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_17(OLGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/Dev-C++/ExerciseBook/07.17/07.17.dev b/Dev-C++/ExerciseBook/07.17/07.17.dev new file mode 100644 index 0000000..c3cdc31 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.17/07.17.dev @@ -0,0 +1,118 @@ +[Project] +FileName=07.17.dev +Name=07.17 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 +UnitCount=7 + +[VersionInfo] +Major=1 +Minor=0 +Release=0 +Build=0 +LanguageID=1033 +CharsetID=1252 +CompanyName= +FileVersion= +FileDescription=Developed using the Dev-C++ IDE +InternalName= +LegalCopyright= +LegalTrademarks= +OriginalFilename= +ProductName= +ProductVersion= +AutoIncBuildNr=0 +SyncProduct=1 + +[Unit1] +FileName=07.17.cpp +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit2] +FileName=OLGraph.cpp +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit3] +FileName=OLGraph.h +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit4] +FileName=TestData_DG.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit5] +FileName=TestData_DN.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit6] +FileName=TestData_UDG.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit7] +FileName=TestData_UDN.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + diff --git a/Dev-C++/ExerciseBook/07.17/OLGraph.cpp b/Dev-C++/ExerciseBook/07.17/OLGraph.cpp new file mode 100644 index 0000000..b2cee58 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.17/OLGraph.cpp @@ -0,0 +1,861 @@ +/*==================== + * ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.3 + ====================*/ + +#include "OLGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸ÃͼµÄ±ßÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(OLGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÓÐÏòͼ + * + * ×¢£º + * ½Ì²ÄÖÐʹÓÃÁËÍ·²å·¨À´²åÈ뻡£¬ÕâÖÖ×ö·¨µÄΨһÓŵãÊDzåÈë·½±ã£¬ + * µ«ÊÇÔÚÉæ¼°µ½É¾³ý»ò²éÕÒʱ£¬Ð§Âʽϵͣ» + * ¶øÇÒ£¬"Í·²å·¨"ÒÀÀµÊäÈëµÄ˳Ðò£¬Èç¹ûÊäÈëµÄ±ß/»¡ÊÇÂÒÐòµÄ£¬ + * Ôò×îÖÕ¹¹Ôì³öµÄͼ/ÍøÖеıß/»¡Ò²ÊÇÎÞÐòµÄ¡£ + * + * ΪÁË¿Ë·þÒÔÉÏȱµã£¬ÕâÀï¸ÄÓÃ"ÉýÐò"²åÈë·¨£¬±£Ö¤²åÈëµÄ»¡ÊÇ"ÉýÐò"µÄ¡£ + * µ«Í¬Ê±£¬ÕâÑù×ö»áʹ"²åÈë"Ëã·¨±äµÃ½ÏΪ¸´ÔÓ¡£ + */ +static Status CreateDG(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo);// Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢(´Ë´¦Ó¦µ±°üº¬) + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼È뻡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(OLGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(OLGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.xlist[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(OLGraph* G, VertexType v) { + int k; + + // ¶¥µãÊý¹ý¶à + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // Ö¸¶¨µÄ¶¥µã´æÔÚʱ£¬ÎÞÐèÖظ´Ìí¼Ó + } + + G->xlist[(*G).vexnum].data = v; + G->xlist[(*G).vexnum].firstin = NULL; + G->xlist[(*G).vexnum].firstout = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(OLGraph* G, VertexType v) { + int k, i; + ArcBox* pre, * r; + ArcBox* pre2, * r2; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ÕÒµ½ÒÔ½áµãv³ö·¢µÄÁ´±í£¬ÊͷŸÃÁ´±íÉÏËùÓнáµã + r = G->xlist[k].firstout; + while(r != NULL) { + pre = r; + r = r->tlink; + + // ÔÚ×ÝÏòÁ´±íÉϲéÕÒpreµÄλÖà + pre2 = NULL; + r2 = G->xlist[pre->headvex].firstin; // ÖÁ´Ë£¬r2Ò»¶¨²»ÎªNULL + while(r2 != NULL && r2->tailvex != k) { + pre2 = r2; + r2 = r2->hlink; + } + + // ÖÁ´Ë£¬r2Ò»¶¨Ö¸ÏòÁË´ýɾ³ýµÄ»¡ + if(pre2 == NULL) { + G->xlist[pre->headvex].firstin = r2->hlink; + } else { + pre2->hlink = r2->hlink; + } + + free(pre); + + (*G).arcnum--; + } + + G->xlist[k].firstout = NULL; + + // ±éÀúÆäËüËùÓÐÁ´±í£¬É¾³ýÄÇЩָÏò¶¥µãvµÄ»¡£»¶øÇÒ£¬Ï±곬¹ýkµÄ¶¥µã£¬ÆäϱêÖµÐèÒªµÝ¼õ + for(i = 0; i < G->vexnum; i++) { + pre = NULL; + r = G->xlist[i].firstout; + while(r != NULL && r->headvex < k) { + if(r->tailvex > k) { + r->tailvex -= 1; + } + pre = r; + r = r->tlink; + } + + // Á´±íÉÏËùÓж¥µãµÄϱê¾ùСÓÚk + if(r == NULL) { + continue; + } + + if(r->headvex == k) { + // ´Ó¿ªÍ·É¾µô½áµãv + if(pre == NULL) { + G->xlist[i].firstout = r->tlink; + + // ´ÓÖмäij¸öλÖÃɾµô½áµãv + } else { + pre->tlink = r->tlink; + } + + // ÔÚ×ÝÏòÁ´±íÉϲéÕÒrµÄλÖà + pre2 = NULL; + r2 = G->xlist[k].firstin; // ÖÁ´Ë£¬r2Ò»¶¨²»ÎªNULL + while(r2 != NULL && r2->tailvex != r->tailvex) { + pre2 = r2; + r2 = r2->hlink; + } + + // ÖÁ´Ë£¬r2Ò»¶¨Ö¸ÏòÁË´ýɾ³ýµÄ»¡ + if(pre2 == NULL) { + G->xlist[k].firstin = r2->hlink; + } else { + pre2->hlink = r2->hlink; + } + + free(r); + + // Èç¹ûÕâÊÇÓÐÏòµÄͼ/Íø£¬ÒÀÈ»ÐèÒªµÝ¼õ±ß/»¡µÄÊýÁ¿ + if((*G).kind == DG || (*G).kind == DN) { + (*G).arcnum--; + } + } + + // ÔÙ´ÎÈ·¶¨rµÄλÖà + if(pre == NULL) { + r = G->xlist[i].firstout; + } else { + r = pre->tlink; + } + + // ϱ곬¹ýkµÄ¶¥µã£¬ÐèÒªµÝ¼õÆäϱê + while(r != NULL) { + if(r->tailvex > k) { + r->tailvex -= 1; + } + + if(r->headvex > k) { + r->headvex -= 1; + } + + r = r->tlink; + } + } + + // ¶¥µã¼¯Ç°ÒÆ + for(i = k + 1; i < (*G).vexnum; i++) { + G->xlist[i - 1] = G->xlist[i]; + } + + // ¶¥µãÊýµÝ¼õ + (*G).vexnum--; + + return OK; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info) { + ArcBox* p = (ArcBox*) malloc(sizeof(ArcBox)); + if(!p) { + exit(OVERFLOW); + } + + p->tailvex = tailvex; + p->headvex = headvex; + + p->hlink = hlink; + p->tlink = tlink; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcBox* p; + ArcBox* pre; + ArcBox* r; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + + // ÔÚºáÏòÁ´±íÉϲéÕÒºÏÊʵIJåÈëλÖà + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->xlist[tail].firstout; + while(r != NULL && r->headvex < head) { + pre = r; + r = r->tlink; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->headvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + p = newArcBoxPtr(tail, head, NULL, r, info); + + if(pre == NULL) { + G->xlist[tail].firstout = p; + } else { + pre->tlink = p; + } + } + + // Èç¹ûûÓз¢Éú¸²¸Ç£¬ËµÃ÷²åÈëÁËнáµã£¬´ËʱÐèÒª¿¼ÂÇÆäÔÚ×ÝÏòÁ´±íÉϵÄλÖà + if(overlay == FALSE) { + // ÔÚ×ÝÏòÁ´±íÉϲéÕÒºÏÊʵIJåÈëλÖà + pre = NULL; + // Ö¸ÏòÒÔheadΪͷµÄÊ×Ìõ±ß/»¡ + r = G->xlist[head].firstin; + while(r != NULL && r->tailvex < tail) { + pre = r; + r = r->hlink; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->tailvex == tail) { + // ²»»áÖ´Ðе½ÕâÀÒòΪÈç¹û·¢ÉúÁ˸²¸Ç£¬Ç°Ãæ½ø²»À´ + } else { + /* ÖÁ´Ë£¬½áµãpÒѾ­´æÔÚÁË */ + + if(pre == NULL) { + p->hlink = G->xlist[head].firstin; + G->xlist[head].firstin = p; + } else { + p->hlink = pre->hlink; + pre->hlink = p; + } + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(OLGraph* G, VertexType v, VertexType w) { + int tail, head, k, count; + ArcBox* pre, * r; + ArcBox* pre2, * r2; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + for(count = 0; count < 2; count++) { + pre = NULL; + // ÔÚºáÏòÁ´±íÖÐÕÒµ½´ýɾ³ýµÄ±ß/»¡ + r = G->xlist[tail].firstout; + while(r != NULL && r->headvex < head) { + pre = r; + r = r->tlink; + } + + // ÕÒµ½ÁË´ýɾ³ýµÄ±ß/»¡ + if(r != NULL && r->headvex == head) { + if(pre == NULL) { + G->xlist[tail].firstout = r->tlink; + } else { + pre->tlink = r->tlink; + } + + // ÔÚ×ÝÏòÁ´±íÉϲéÕÒrµÄλÖà + pre2 = NULL; + r2 = G->xlist[head].firstin; // ÖÁ´Ë£¬r2Ò»¶¨²»ÎªNULL + while(r2 != NULL && r2->tailvex != r->tailvex) { + pre2 = r2; + r2 = r2->hlink; + } + + // ÖÁ´Ë£¬r2Ò»¶¨Ö¸ÏòÁË´ýɾ³ýµÄ»¡ + if(pre2 == NULL) { + G->xlist[head].firstin = r2->hlink; + } else { + pre2->hlink = r2->hlink; + } + + free(r); + } else { + return ERROR; // ûÕÒµ½ + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹tailºÍhead + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + (*G).arcnum--; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»¼õÒ» + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(OLGraph G) { + int i, head; + ArcBox* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.xlist[i].data); + + head = 0; + p = G.xlist[i].firstout; + + while(p != NULL) { + if(head < p->headvex) { + if(IncInfo == 0) { + printf(" "); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf(" "); + } + } else { + if(IncInfo == 0) { + printf("<%c, %c>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("<%c, %c, %2d>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data, p->info->weight); + } + + p = p->tlink; + } + + head++; + + if(p != NULL) { + printf(" "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.17/OLGraph.h b/Dev-C++/ExerciseBook/07.17/OLGraph.h new file mode 100644 index 0000000..dc80aba --- /dev/null +++ b/Dev-C++/ExerciseBook/07.17/OLGraph.h @@ -0,0 +1,178 @@ +/*==================== + * ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.3 + ====================*/ + +#ifndef OLGRAPH_H +#define OLGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢ÓÐÏòͼ¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcBox { + int tailvex; // »¡Í·¶¥µãλÖà + int headvex; // »¡Î²¶¥µãλÖà + struct ArcBox* hlink; // Ö¸ÏòÏÂÒ»¸öÓµÓÐÏàͬ»¡Í·µÄ»¡ + struct ArcBox* tlink; // Ö¸ÏòÏÂÒ»¸öÓµÓÐÏàͬ»¡Î²µÄ»¡ + InfoType* info; // ¸Ã»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +} ArcBox; + +// ÿ¸öºáÏòÁ´±íµÄÍ·½áµã +typedef struct VexNode { + VertexType data; // ¶¥µã + ArcBox* firstin; // Ö¸Ïò¸Ã¶¥µãµÄµÚÒ»ÌõÈ뻡 + ArcBox* firstout; // Ö¸Ïò¸Ã¶¥µãµÄµÚÒ»Ìõ³ö»¡ +} VexNode; + +/* ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VexNode xlist[MAX_VERTEX_NUM]; // ±íÍ·ÏòÁ¿ + int vexnum, arcnum; // ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} OLGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(OLGraph* G, char* path[]); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÓÐÏòͼ + * + * ×¢£º + * ½Ì²ÄÖÐʹÓÃÁËÍ·²å·¨À´²åÈ뻡£¬ÕâÖÖ×ö·¨µÄΨһÓŵãÊDzåÈë·½±ã£¬ + * µ«ÊÇÔÚÉæ¼°µ½É¾³ý»ò²éÕÒʱ£¬Ð§Âʽϵͣ» + * ¶øÇÒ£¬"Í·²å·¨"ÒÀÀµÊäÈëµÄ˳Ðò£¬Èç¹ûÊäÈëµÄ±ß/»¡ÊÇÂÒÐòµÄ£¬ + * Ôò×îÖÕ¹¹Ôì³öµÄͼ/ÍøÖеıß/»¡Ò²ÊÇÎÞÐòµÄ¡£ + * + * ΪÁË¿Ë·þÒÔÉÏȱµã£¬ÕâÀï¸ÄÓÃ"ÉýÐò"²åÈë·¨£¬±£Ö¤²åÈëµÄ»¡ÊÇ"ÉýÐò"µÄ¡£ + * µ«Í¬Ê±£¬ÕâÑù×ö»áʹ"²åÈë"Ëã·¨±äµÃ½ÏΪ¸´ÔÓ¡£ + */ +static Status CreateDG(OLGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(OLGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(OLGraph* G); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(OLGraph* G); + +/* + * ¼È뻡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(OLGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(OLGraph G, VertexType u); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(OLGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(OLGraph* G, VertexType v); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(OLGraph* G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(OLGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.17/TestData_DG.txt b/Dev-C++/ExerciseBook/07.17/TestData_DG.txt new file mode 100644 index 0000000..ae011ea --- /dev/null +++ b/Dev-C++/ExerciseBook/07.17/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬B¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.17/TestData_DN.txt b/Dev-C++/ExerciseBook/07.17/TestData_DN.txt new file mode 100644 index 0000000..c41b879 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.17/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬B£¬5¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.17/TestData_UDG.txt b/Dev-C++/ExerciseBook/07.17/TestData_UDG.txt new file mode 100644 index 0000000..6c08d74 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.17/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.17/TestData_UDN.txt b/Dev-C++/ExerciseBook/07.17/TestData_UDN.txt new file mode 100644 index 0000000..2117df2 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.17/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.18-07.19/07.18-07.19.cpp b/Dev-C++/ExerciseBook/07.18-07.19/07.18-07.19.cpp new file mode 100644 index 0000000..fb299e2 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.18-07.19/07.18-07.19.cpp @@ -0,0 +1,181 @@ +#include +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "AMLGraph.h" //**¡ø07 ͼ**// + +/* + * ´´½¨Í¼/±í + */ +Status CreateGraph_7_19(AMLGraph* G, char* path[]); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_18(AMLGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_18(AMLGraph* G, VertexType v); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_18(AMLGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_18(AMLGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + AMLGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ/Íø...\n"); + { + char* path[4]; + + path[0] = ""; + path[1] = ""; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph_7_19(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý¶¥µã...\n"); + { + VertexType v = 'X'; + + printf("ɾ³ý¶¥µã '%c' ºóµÄͼΪ£º\n", v); + DeleteVex_7_18(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈ붥µã...\n"); + { + VertexType v = 'Y'; + + printf("²åÈ붥µã '%c' ºóµÄͼΪ£º\n", v); + InsertVex_7_18(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈë±ß/»¡...\n"); + { + // ×¢£ºÊÇÖظ´µÄ±ß + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + InfoType info[10] = {{8}, {5}, {1}, {11}, {2}, {6}, {3}, {7}, {2}, {9}}; + int k; + + // ͼ + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("²åÈëÎÞȨֵµÄ±ß£º<%c, %c>...\n", v[k], w[k]); + InsertArc_7_18(&G, v[k], w[k]); + } + + // Íø + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("²åÈë´øȨֵµÄ±ß£º<%c, %c, %d>...\n", v[k], w[k], info[k].weight); + InsertArc_7_18(&G, v[k], w[k], &info[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý±ß/»¡...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("ɾ³ý±ß£º<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_18(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * ´´½¨Í¼/±í + */ +Status CreateGraph_7_19(AMLGraph* G, char* path[]) { + return CreateGraph(G, path); +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_18(AMLGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_18(AMLGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_18(AMLGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + return InsertArc(G, v, w, info); +} + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_18(AMLGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/Dev-C++/ExerciseBook/07.18-07.19/07.18-07.19.dev b/Dev-C++/ExerciseBook/07.18-07.19/07.18-07.19.dev new file mode 100644 index 0000000..aa541ed --- /dev/null +++ b/Dev-C++/ExerciseBook/07.18-07.19/07.18-07.19.dev @@ -0,0 +1,100 @@ +[Project] +FileName=07.18-07.19.dev +Name=07.18-07.19 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 +UnitCount=5 + +[VersionInfo] +Major=1 +Minor=0 +Release=0 +Build=0 +LanguageID=1033 +CharsetID=1252 +CompanyName= +FileVersion= +FileDescription=Developed using the Dev-C++ IDE +InternalName= +LegalCopyright= +LegalTrademarks= +OriginalFilename= +ProductName= +ProductVersion= +AutoIncBuildNr=0 +SyncProduct=1 + +[Unit1] +FileName=07.18-07.19.cpp +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit2] +FileName=AMLGraph.cpp +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit3] +FileName=AMLGraph.h +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit4] +FileName=TestData_UDG.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit5] +FileName=TestData_UDN.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + diff --git a/Dev-C++/ExerciseBook/07.18-07.19/AMLGraph.cpp b/Dev-C++/ExerciseBook/07.18-07.19/AMLGraph.cpp new file mode 100644 index 0000000..013d271 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.18-07.19/AMLGraph.cpp @@ -0,0 +1,715 @@ +/*===================== + * ͼµÄÁÚ½Ó¶àÖرí´æ´¢±íʾ + ======================*/ + +#include "AMLGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸ÃͼµÄ±ßÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(AMLGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ(Ö»½ÓÊÜÎÞÏòµÄͼ/Íø) + if(kind < 2 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÎÞÏòͼ»òÎÞÏòÍøµÄÒ»ÖÖ + switch((*G).kind) { + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(AMLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).edgenum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(AMLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).edgenum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(AMLGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(AMLGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.adjmulist[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(AMLGraph* G, VertexType v) { + int k; + + // ¶¥µãÊý¹ý¶à + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // Ö¸¶¨µÄ¶¥µã´æÔÚʱ£¬ÎÞÐèÖظ´Ìí¼Ó + } + + G->adjmulist[(*G).vexnum].data = v; + G->adjmulist[(*G).vexnum].firstedge = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(AMLGraph* G, VertexType v) { + int i, k, other; + EBox* p; + EBox* pre, * r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + while((p = G->adjmulist[k].firstedge) != NULL) { + if(p->ivex == k) { + G->adjmulist[k].firstedge = p->ilink; + other = p->jvex; + } else if(p->jvex == k) { + G->adjmulist[k].firstedge = p->jlink; + other = p->ivex; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + + pre = NULL; + r = G->adjmulist[other].firstedge; + + // ²éÕұߣ¬¿Ï¶¨ÄÜÕÒµ½ + while(r != NULL) { + if(r->ivex == other && r->jvex < k) { + pre = r; + r = r->ilink; + } else if(r->jvex == other && r->ivex < k) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == other && r->jvex == k) { + if(pre == NULL) { + G->adjmulist[other].firstedge = r->ilink; + } else { + if(pre->ivex == other) { + pre->ilink = r->ilink; + } else if(pre->jvex == other) { + pre->jlink = r->ilink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else if(r != NULL && r->jvex == other && r->ivex == k) { + if(pre == NULL) { + G->adjmulist[other].firstedge = r->jlink; + } else { + if(pre->ivex == other) { + pre->ilink = r->jlink; + } else if(pre->jvex == other) { + pre->jlink = r->jlink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else { + // ²»»áÖÁ´Ë£¬ÒòΪ¿Ï¶¨ÄÜÕÒµ½ + } + + free(p); + + (*G).edgenum--; // ±ßÊý¼õÒ» + } + + // ϱ곬¹ýkµÄ¶¥µã£¬ÐèÒªµÝ¼õÆäϱê + for(i = k + 1; i < (*G).vexnum; i++) { + r = G->adjmulist[i].firstedge; + + while(r!=NULL){ + if(r->ivex==i) { + r->ivex--; + r = r->ilink; + } else if(r->jvex==i) { + r->jvex--; + r = r->jlink; + } else { + // ²»»áÖÁ´Ë + } + } + } + + // ¶¥µã¼¯Ç°ÒÆ + for(i = k + 1; i < (*G).vexnum; i++) { + G->adjmulist[i - 1] = G->adjmulist[i]; + } + + // ¶¥µãÊýµÝ¼õ + (*G).vexnum--; + + return OK; +} + +/* + * ¹¹ÔìÒ»¸ö±ß½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static EBox* newEBoxPtr(VisitIf mark, int ivex, int jvex, EBox* ilink, EBox* jlink, InfoType* info) { + EBox* p = (EBox*) malloc(sizeof(EBox)); + if(!p) { + exit(OVERFLOW); + } + + p->mark = mark; + + p->ivex = ivex; + p->jvex = jvex; + + p->ilink = ilink; + p->jlink = jlink; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß + * + * µ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÇÒÓÉÓÚÌØÊâµÄ½á¹¹£¬Ê¹µÃ²åÈëÒ»Ìõ±ßʱֻÐèÒªÔö¼ÓÒ»¶Ô¶¥µã¹Øϵ£¬±ßµÄÊýÁ¿ÒÀÈ»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ßµÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ßµÄȨֵ¡£ + */ +Status InsertArc(AMLGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k; + EBox* p; + EBox* pre; + EBox* r; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ßµÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ßÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + pre = NULL; + r = G->adjmulist[tail].firstedge; + + while(r != NULL) { + if(r->ivex == tail && r->jvex < head) { + pre = r; + r = r->ilink; + } else if(r->jvex == tail && r->ivex < head) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == tail && r->jvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else if(r != NULL && r->jvex == tail && r->ivex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + p = newEBoxPtr(unvisit, tail, head, r, NULL, info); + + if(pre == NULL) { + G->adjmulist[tail].firstedge = p; + } else { + if(pre->ivex == tail) { + pre->ilink = p; + } else if(pre->jvex == tail) { + pre->jlink = p; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } + + if(!overlay) { + pre = NULL; + r = G->adjmulist[head].firstedge; + + while(r != NULL) { + if(r->ivex == head && r->jvex < tail) { + pre = r; + r = r->ilink; + } else if(r->jvex == head && r->ivex < tail) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + p->jlink = r; + + if(pre == NULL) { + G->adjmulist[head].firstedge = p; + } else { + if(pre->ivex == head) { + pre->ilink = p; + } else if(pre->jvex == head) { + pre->jlink = p; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } + + (*G).edgenum++; // ±ßÊýÔöÒ» + + return OK; +} + +/* + * ɾ³ý±ß + */ +Status DeleteArc(AMLGraph* G, VertexType v, VertexType w) { + int tail, head; + EBox* r; + EBox* pre; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + pre = NULL; + r = G->adjmulist[tail].firstedge; + + while(r != NULL) { + if(r->ivex == tail && r->jvex < head) { + pre = r; + r = r->ilink; + } else if(r->jvex == tail && r->ivex < head) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == tail && r->jvex == head) { + if(pre == NULL) { + G->adjmulist[tail].firstedge = r->ilink; + } else { + if(pre->ivex == tail) { + pre->ilink = r->ilink; + } else if(pre->jvex == tail) { + pre->jlink = r->ilink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else if(r != NULL && r->jvex == tail && r->ivex == head) { + if(pre == NULL) { + G->adjmulist[tail].firstedge = r->jlink; + } else { + if(pre->ivex == tail) { + pre->ilink = r->jlink; + } else if(pre->jvex == tail) { + pre->jlink = r->jlink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else { + return ERROR; // δÕÒµ½ + } + + + pre = NULL; + r = G->adjmulist[head].firstedge; + + while(r != NULL) { + if(r->ivex == head && r->jvex < tail) { + pre = r; + r = r->ilink; + } else if(r->jvex == head && r->ivex < tail) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == head && r->jvex == tail) { + if(pre == NULL) { + G->adjmulist[head].firstedge = r->ilink; + } else { + if(pre->ivex == head) { + pre->ilink = r->ilink; + } else if(pre->jvex == head) { + pre->jlink = r->ilink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else if(r != NULL && r->jvex == head && r->ivex == tail) { + if(pre == NULL) { + G->adjmulist[head].firstedge = r->jlink; + } else { + if(pre->ivex == head) { + pre->ilink = r->jlink; + } else if(pre->jvex == head) { + pre->jlink = r->jlink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else { + // ²»»áÖÁ´Ë£¬ÒòΪǰÃæÕÒµ½ÁË£¬´Ë´¦¿Ï¶¨Ò²ÄÜÕÒµ½ + } + + free(r); // ÊÍ·ÅÄÚ´æ + + (*G).edgenum--; // ±ßÊý¼õÒ» + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(AMLGraph G) { + int i, cur, pos; + EBox* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß...\n", G.vexnum, G.edgenum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.adjmulist[i].data); + + cur = 0; + p = G.adjmulist[i].firstedge; + + while(p != NULL) { + if(p->ivex == i) { + pos = p->jvex; + } else { + pos = p->ivex; + } + + if(cur < pos) { + if(IncInfo == 0) { + printf(" "); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf(" "); + } + } else { + if(IncInfo == 0) { + printf("%c", G.adjmulist[pos].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d]", G.adjmulist[pos].data, p->info->weight); + } + + if(p->ivex == i) { + p = p->ilink; + } else { + p = p->jlink; + } + } + + cur++; + + if(p != NULL) { + printf(" "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.18-07.19/AMLGraph.h b/Dev-C++/ExerciseBook/07.18-07.19/AMLGraph.h new file mode 100644 index 0000000..5045840 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.18-07.19/AMLGraph.h @@ -0,0 +1,162 @@ +/*===================== + * ͼµÄÁÚ½Ó¶àÖرí´æ´¢±íʾ + ======================*/ + +#ifndef AMLGRAPH_H +#define AMLGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢ÎÞÏòͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ£»´Ë´¦²»Ö§³Ö + DN, // 1-ÓÐÏòÍø(´øȨֵ)£»´Ë´¦²»Ö§³Ö + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + + +/* ÎÞÏòͼ£¨ÁÚ½Ó¶àÖØ±í£©ÀàÐͶ¨Òå */ +typedef enum { + unvisit, visit +} VisitIf; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß½áµã */ +typedef struct EBox { + VisitIf mark; // ·ÃÎʱê¼Ç + int ivex; // ¸Ã±ßÒÀ¸½µÄÁ½¸ö¶¥µãµÄλÖà + int jvex; // ¸Ã±ßÒÀ¸½µÄÁ½¸ö¶¥µãµÄλÖà + struct EBox* ilink; // ·Ö±ðÖ¸ÏòÒÀ¸½ÕâÁ½¸ö¶¥µãµÄÏÂÒ»Ìõ±ß + struct EBox* jlink; // ·Ö±ðÖ¸ÏòÒÀ¸½ÕâÁ½¸ö¶¥µãµÄÏÂÒ»Ìõ±ß + InfoType* info; +} EBox; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VexBox { + VertexType data; // ¶¥µãÐÅÏ¢ + EBox* firstedge; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ±ßµÄÖ¸Õë +} VexBox; + +/* ͼµÄÁÚ½Ó¶àÖرí´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VexBox adjmulist[MAX_VERTEX_NUM]; // ±íÍ·ÏòÁ¿ + int vexnum, edgenum; // ͼ/ÍøµÄ¶¥µãÊýºÍ±ßÊý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} AMLGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(AMLGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(AMLGraph* G); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(AMLGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(AMLGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(AMLGraph G, VertexType u); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(AMLGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(AMLGraph* G, VertexType v); + +/* + * ¹¹ÔìÒ»¸ö±ß½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static EBox* newEBoxPtr(VisitIf mark, int ivex, int jvex, EBox* ilink, EBox* jlink, InfoType* info); + +/* + * ²åÈë±ß + * + * µ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÇÒÓÉÓÚÌØÊâµÄ½á¹¹£¬Ê¹µÃ²åÈëÒ»Ìõ±ßʱֻÐèÒªÔö¼ÓÒ»¶Ô¶¥µã¹Øϵ£¬±ßµÄÊýÁ¿ÒÀÈ»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ßµÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ßµÄȨֵ¡£ + */ +Status InsertArc(AMLGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß + */ +Status DeleteArc(AMLGraph* G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(AMLGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.18-07.19/TestData_UDG.txt b/Dev-C++/ExerciseBook/07.18-07.19/TestData_UDG.txt new file mode 100644 index 0000000..6c08d74 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.18-07.19/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.18-07.19/TestData_UDN.txt b/Dev-C++/ExerciseBook/07.18-07.19/TestData_UDN.txt new file mode 100644 index 0000000..2117df2 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.18-07.19/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.20/07.20.cpp b/Dev-C++/ExerciseBook/07.20/07.20.cpp new file mode 100644 index 0000000..8412f5a --- /dev/null +++ b/Dev-C++/ExerciseBook/07.20/07.20.cpp @@ -0,0 +1,78 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "MGraph.h" //**¡ø07 ͼ**// + +/* + * ÅжÏͼGÊÇ·ñ¿É´«µÝ + */ +Status Algo_7_20(MGraph G); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + Algo_7_20(G) ? printf("ͼG¿É´«µÝ£¡\n") : printf("ͼG²»¿É´«µÝ£¡\n"); + printf("\n"); + + return 0; +} + + +/* + * ÅжÏͼGÊÇ·ñ¿É´«µÝ + */ +Status Algo_7_20(MGraph G) { + Status trans; + int x, y, z; + int flag; // ²»Á¬Í¨µÄ±ê¼Ç + + // ¶ÔÓÚͼ£¬²»Á¬Í¨±ê¼ÇÊÇ0 + if(G.kind == DG || G.kind == UDG) { + flag = 0; + + // ¶ÔÓÚÍø£¬²»Á¬Í¨±ê¼ÇÊÇINFINITE + } else if(G.kind == DN || G.kind == UDN) { + flag = INFINITE; + } else { + return ERROR; + } + + // 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HcmV?d00001 diff --git a/Dev-C++/ExerciseBook/07.20/MGraph.cpp b/Dev-C++/ExerciseBook/07.20/MGraph.cpp new file mode 100644 index 0000000..c57dfc9 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.20/MGraph.cpp @@ -0,0 +1,482 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#include "MGraph.h" //**¡ø07 ͼ**// + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨Í¼/±í + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÓÐÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // ÓÐÏòÍøÿÌõ»¡µÄ³õʼֵ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòÍøµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + scanf("%d", &w); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ÔÚÖ¸¶¨µÄ¶¥µã¹ØϵÉϼǼȨֵ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = w; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÎÞÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo); // ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÎÞÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + + // Ìî³ä¶Ô³Æµã + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.2 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // ÎÞÏòÍøÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÎÞÏòÍøµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo); // ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÎÞÏòÍøµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + scanf("%d", &w); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ÔÚÖ¸¶¨µÄ¶¥µã¹ØϵÉϼǼȨֵ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = w; + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + + // Ìî³ä¶Ô³Æµã + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info) { + //¼Èë±ß/»¡µÄÐÅÏ¢£¬±¾²âÊÔÉæ¼°µ½µÄ±ß/»¡Ä¬ÈÏÎÞÆäËû¸½¼ÓÐÅÏ¢ +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.20/MGraph.h b/Dev-C++/ExerciseBook/07.20/MGraph.h new file mode 100644 index 0000000..fb30392 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.20/MGraph.h @@ -0,0 +1,129 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(MGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(MGraph* G); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.2 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.20/TestData_DG.txt b/Dev-C++/ExerciseBook/07.20/TestData_DG.txt new file mode 100644 index 0000000..b8bfff7 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.20/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú5 +»¡Êý¡ú10 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾A£¬E¡¿¡¾B£¬A¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬D¡¿¡¾E£¬D¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.20/TestData_DN.txt b/Dev-C++/ExerciseBook/07.20/TestData_DN.txt new file mode 100644 index 0000000..bf8212d --- /dev/null +++ b/Dev-C++/ExerciseBook/07.20/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú5 +»¡Êý¡ú10 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B£¬5¡¿¡¾A£¬C£¬1¡¿¡¾A£¬D£¬2¡¿¡¾A£¬E£¬6¡¿¡¾B£¬A£¬5¡¿¡¾B£¬C£¬2¡¿¡¾B£¬D£¬8¡¿¡¾B£¬E£¬7¡¿¡¾C£¬D£¬2¡¿¡¾E£¬D£¬3¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.20/TestData_UDG.txt b/Dev-C++/ExerciseBook/07.20/TestData_UDG.txt new file mode 100644 index 0000000..35622d5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.20/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú5 +±ßÊý¡ú10 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾A£¬E¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬D¡¿¡¾C£¬E¡¿¡¾D£¬E¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.20/TestData_UDN.txt b/Dev-C++/ExerciseBook/07.20/TestData_UDN.txt new file mode 100644 index 0000000..eb2425f --- /dev/null +++ b/Dev-C++/ExerciseBook/07.20/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú5 +±ßÊý¡ú10 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬1¡¿¡¾A£¬C£¬3¡¿¡¾A£¬D£¬2¡¿¡¾A£¬E£¬1¡¿¡¾B£¬C£¬5¡¿¡¾B£¬D£¬3¡¿¡¾B£¬E£¬6¡¿¡¾C£¬D£¬8¡¿¡¾C£¬E£¬4¡¿¡¾D£¬E£¬7¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.21/07.21.cpp b/Dev-C++/ExerciseBook/07.21/07.21.cpp new file mode 100644 index 0000000..0b8f01c --- /dev/null +++ b/Dev-C++/ExerciseBook/07.21/07.21.cpp @@ -0,0 +1,75 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ÅжÏͼGÊÇ·ñ¿É´«µÝ + */ +Status Algo_7_21(ALGraph G); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + Algo_7_21(G) ? printf("ͼG¿É´«µÝ£¡\n") : printf("ͼG²»¿É´«µÝ£¡\n"); + printf("\n"); + + return 0; +} + + +/* + * ÅжÏͼGÊÇ·ñ¿É´«µÝ + */ +Status Algo_7_21(ALGraph G) { + Status trans; + int x, y, z; + ArcNode* py, * pz, * px; + + // Ô¤ÉèΪ¿É´«µÝ + trans = TRUE; + + // ¶ÔÓÚVÖÐÿ¸öx + for(x = 0; x < G.vexnum; x++) { + // N(x)ÖÐÿ¸öy + for(py = G.vertices[x].firstarc; py != NULL; py = py->nextarc) { + y = py->adjvex; + + for(pz = G.vertices[y].firstarc; pz != NULL; pz = pz->nextarc) { + z = pz->adjvex; + + // ÅųýÓëxÏàµÈµÄz + if(z != x) { + for(px = G.vertices[x].firstarc; px != NULL; px = px->nextarc) { + if(px->adjvex == z) { + break; // ÕÒµ½zºó¼°Ê±Ìø³ö + } + } + + // Èç¹ûz²»ÔÚN(x)ÖÐ + if(px == NULL) { + trans = FALSE; + return trans; + } + } + + } + } + } + + return trans; +} diff --git a/Dev-C++/ExerciseBook/07.21/07.21.dev b/Dev-C++/ExerciseBook/07.21/07.21.dev new file mode 100644 index 0000000..b15bf78 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.21/07.21.dev @@ -0,0 +1,118 @@ +[Project] +FileName=07.21.dev +Name=07.21 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 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HcmV?d00001 diff --git a/Dev-C++/ExerciseBook/07.21/ALGraph.cpp b/Dev-C++/ExerciseBook/07.21/ALGraph.cpp new file mode 100644 index 0000000..d0f6788 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.21/ALGraph.cpp @@ -0,0 +1,570 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo);// Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢(´Ë´¦Ó¦µ±°üº¬) + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.21/ALGraph.h b/Dev-C++/ExerciseBook/07.21/ALGraph.h new file mode 100644 index 0000000..aa625ae --- /dev/null +++ b/Dev-C++/ExerciseBook/07.21/ALGraph.h @@ -0,0 +1,143 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.21/TestData_DG.txt b/Dev-C++/ExerciseBook/07.21/TestData_DG.txt new file mode 100644 index 0000000..b8bfff7 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.21/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú5 +»¡Êý¡ú10 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾A£¬E¡¿¡¾B£¬A¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬D¡¿¡¾E£¬D¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.21/TestData_DN.txt b/Dev-C++/ExerciseBook/07.21/TestData_DN.txt new file mode 100644 index 0000000..ad267ed --- /dev/null +++ b/Dev-C++/ExerciseBook/07.21/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú5 +»¡Êý¡ú10 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B£¬5¡¿¡¾A£¬C£¬1¡¿¡¾A£¬D£¬2¡¿¡¾A£¬E£¬6¡¿¡¾B£¬A£¬5¡¿¡¾B£¬C£¬2¡¿¡¾B£¬D£¬8¡¿¡¾B£¬E£¬7¡¿¡¾C£¬D£¬2¡¿¡¾E£¬D£¬3¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.21/TestData_UDG.txt b/Dev-C++/ExerciseBook/07.21/TestData_UDG.txt new file mode 100644 index 0000000..35622d5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.21/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú5 +±ßÊý¡ú10 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾A£¬E¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬D¡¿¡¾C£¬E¡¿¡¾D£¬E¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.21/TestData_UDN.txt b/Dev-C++/ExerciseBook/07.21/TestData_UDN.txt new file mode 100644 index 0000000..0cd5c13 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.21/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú5 +±ßÊý¡ú10 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬1¡¿¡¾A£¬C£¬3¡¿¡¾A£¬D£¬2¡¿¡¾A£¬E£¬1¡¿¡¾B£¬C£¬5¡¿¡¾B£¬D£¬3¡¿¡¾B£¬E£¬6¡¿¡¾C£¬D£¬8¡¿¡¾C£¬E£¬4¡¿¡¾D£¬E£¬7¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.22-07.23/07.22-07.23.cpp b/Dev-C++/ExerciseBook/07.22-07.23/07.22-07.23.cpp new file mode 100644 index 0000000..bd95121 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.22-07.23/07.22-07.23.cpp @@ -0,0 +1,213 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * ͨ¹ýÉî¶ÈÓÅÏȱéÀú£¬Êä³ö¶¥µãviµ½vjÖ®¼äµÄ·¾¶ + */ +void Algo_7_22(ALGraph G, VertexType vi, VertexType vj); + +/* + * Éî¶ÈÓÅÏȱéÀúͼG£¬²éÕÒ¶¥µãiµ½¶¥µãjÖ®¼äµÄ·¾¶´æÈëpath + */ +static Status DFS_7_22(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]); + +/* + * ͨ¹ý¹ã¶ÈÓÅÏȱéÀú£¬Êä³ö¶¥µãviµ½vjÖ®¼äµÄ·¾¶ + */ +void Algo_7_23(ALGraph G, VertexType vi, VertexType vj); + +/* + * ¹ã¶ÈÓÅÏȱéÀúͼG£¬²éÕÒ¶¥µãiµ½¶¥µãjÖ®¼äµÄ·¾¶´æÈëpath + */ +static Status BFS_7_23(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Ìâ7.22£ºÍ¨¹ýÉî¶ÈÓÅÏȱéÀúÅжÏÁ½¶¥µã¼äÊÇ·ñ´æÔÚ·¾¶...\n"); + { + VertexType vi = 'A'; + VertexType vj = 'F'; + + Algo_7_22(G, vi, vj); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Ìâ7.23£ºÍ¨¹ý¹ã¶ÈÓÅÏȱéÀúÅжÏÁ½¶¥µã¼äÊÇ·ñ´æÔÚ·¾¶...\n"); + { + VertexType vi = 'A'; + VertexType vj = 'F'; + + Algo_7_23(G, vi, vj); + printf("\n"); + } + + return 0; +} + + +/* + * ͨ¹ýÉî¶ÈÓÅÏȱéÀú£¬Åж϶¥µãviµ½vjÖ®¼äÊÇ·ñ´æÔÚ·¾¶ + */ +void Algo_7_22(ALGraph G, VertexType vi, VertexType vj) { + int i, j, k; + int path[MAX_VERTEX_NUM + 1]; + + for(k = 0; k < G.vexnum; k++) { + visited[k] = FALSE; + } + + i = LocateVex(G, vi); + j = LocateVex(G, vj); + + path[0] = 0; + + if(DFS_7_22(G, i, j, path) == ERROR) { + printf("%c µ½ %c Ö®¼ä²»´æÔÚͨ·£¡\n", vi, vj); + return; + } + + printf("%c µ½ %c Ö®¼äµÄͨ·Ϊ£º", vi, vj); + for(k = 1; k <= path[0]; k++) { + printf("%c ", GetVex(G, path[k])); + } + printf("\n"); +} + +/* + * Éî¶ÈÓÅÏȱéÀúͼG£¬²éÕÒ¶¥µãiµ½¶¥µãjÖ®¼äµÄ·¾¶´æÈëpath + */ +static Status DFS_7_22(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]) { + int w; + + // ½«¶¥µãi¼ÓÈë·¾¶ + visited[i] = TRUE; + path[0]++; + path[path[0]] = i; + + if(i == j) { + return OK; + } + + // ±éÀúviËùÓÐÁÚ½Óµã + for(w = FirstAdjVex(G, GetVex(G, i)); w >= 0; w = NextAdjVex(G, GetVex(G, i), GetVex(G, w))) { + // Ìø¹ýÒÑ·ÃÎʵĶ¥µã + if(visited[w]) { + continue; + } + + // µÝ¹é(Éî¶ÈÓÅÏÈ) + if(DFS_7_22(G, w, j, path) == OK) { + return OK; + } + } + + // ÒƳý¶¥µãi + visited[i] = FALSE; + path[0]--; + + return ERROR; +} + +/* + * ͨ¹ý¹ã¶ÈÓÅÏȱéÀú£¬Åж϶¥µãviµ½vjÖ®¼äÊÇ·ñ´æÔÚ·¾¶ + */ +void Algo_7_23(ALGraph G, VertexType vi, VertexType vj) { + int i, j, k; + int path[MAX_VERTEX_NUM + 1]; + + for(k = 0; k < G.vexnum; k++) { + visited[k] = FALSE; + } + + i = LocateVex(G, vi); + j = LocateVex(G, vj); + + path[0] = 0; + + if(BFS_7_23(G, i, j, path) == ERROR) { + printf("%c µ½ %c Ö®¼ä²»´æÔÚͨ·£¡\n", vi, vj); + return; + } + + printf("%c µ½ %c Ö®¼äµÄͨ·Ϊ£º", vi, vj); + for(k = 1; k <= path[0]; k++) { + printf("%c ", GetVex(G, path[k])); + } + printf("\n"); +} + +/* + * ¹ã¶ÈÓÅÏȱéÀúͼG£¬²éÕÒ¶¥µãiµ½¶¥µãjÖ®¼äµÄ·¾¶´æÈëpath + */ +static Status BFS_7_23(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]) { + int w; + LinkQueue Q; + QElemType e; + + // ½«¶¥µãi¼ÓÈë·¾¶ + visited[i] = TRUE; + path[0]++; + path[path[0]] = i; + + if(i == j) { + return OK; + } + + // Öÿո¨Öú¶ÓÁÐ + InitQueue(&Q); + + // ±éÀúviËùÓÐÁÚ½Óµã + for(w = FirstAdjVex(G, GetVex(G, i)); w >= 0; w = NextAdjVex(G, GetVex(G, i), GetVex(G, w))) { + // Ìø¹ýÒÑ·ÃÎʵĶ¥µã + if(visited[w]) { + continue; + } + + if(w == j) { + // ½«¶¥µãw¼ÓÈë·¾¶ + visited[w] = TRUE; + path[0]++; + path[path[0]] = w; + return OK; + } + + EnQueue(&Q, w); + } + + // ´ÓÁÚ½Óµã³ö·¢£¬¼ÌÐøÑ°ÕÒÄ¿±ê·¾¶ + while(!QueueEmpty(Q)) { + DeQueue(&Q, &e); + + // µÝ¹é(¹ã¶ÈÓÅÏÈ) + if(BFS_7_23(G, e, j, path) == OK) { + return OK; + } + } + + // ÒƳý¶¥µãi + visited[i] = FALSE; + path[0]--; + + return ERROR; +} diff --git a/Dev-C++/ExerciseBook/07.22-07.23/07.22-07.23.dev b/Dev-C++/ExerciseBook/07.22-07.23/07.22-07.23.dev new file mode 100644 index 0000000..c4827a5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.22-07.23/07.22-07.23.dev @@ -0,0 +1,111 @@ +[Project] +FileName=07.22-07.23.dev +Name=07.22-07.23 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 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b/Dev-C++/ExerciseBook/07.22-07.23/ALGraph.cpp new file mode 100644 index 0000000..d447465 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.22-07.23/ALGraph.cpp @@ -0,0 +1,405 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vertices[v].data; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(ALGraph G, VertexType v) { + int k; + ArcNode* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(G, v); + if(k == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.vertices[k].firstarc; + if(r == NULL) { + return -1; + } else { + return r->adjvex; + } +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w) { + int kv, kw; + ArcNode* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.vertices[kv].firstarc; + if(r == NULL) { + return -1; // Á´±íΪ¿Õ + } + + // ÔÚÁ´±íÖвéÕÒw + while(r != NULL && r->adjvex < kw) { + r = r->nextarc; + } + + // Èç¹ûûÕÒµ½w + if(r == NULL) { + return -1; + } + + // Èç¹ûÕÒµ½ÁËw£¬µ«ÊÇwºóÃæûÓбðµÄ¶¥µã£¬ÄÇôҲÎÞ·¨·µ»ØÁÚ½Óµã + if(r->adjvex == kw && r->nextarc != NULL) { + return r->nextarc->adjvex; + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.22-07.23/ALGraph.h b/Dev-C++/ExerciseBook/07.22-07.23/ALGraph.h new file mode 100644 index 0000000..beac42a --- /dev/null +++ b/Dev-C++/ExerciseBook/07.22-07.23/ALGraph.h @@ -0,0 +1,150 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "LinkQueue.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(ALGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.22-07.23/LinkQueue.cpp b/Dev-C++/ExerciseBook/07.22-07.23/LinkQueue.cpp new file mode 100644 index 0000000..ac47060 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.22-07.23/LinkQueue.cpp @@ -0,0 +1,102 @@ +/*========================= + * ¶ÓÁеÄÁ´Ê½´æ´¢½á¹¹£¨Á´¶Ó£© + ==========================*/ + +#ifndef LINKQUEUE_C +#define LINKQUEUE_C + +#include "LinkQueue.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄÁ´¶Ó¡£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁдøÓÐÍ·½áµã + */ +Status InitQueue(LinkQueue* Q) { + if(Q == NULL) { + return ERROR; + } + + (*Q).front = (*Q).rear = (QueuePtr) malloc(sizeof(QNode)); + if(!(*Q).front) { + exit(OVERFLOW); + } + + (*Q).front->next = NULL; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏÁ´¶ÓÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Á´¶ÓΪ¿Õ + * FALSE: Á´¶Ó²»Îª¿Õ + */ +Status QueueEmpty(LinkQueue Q) { + if(Q.front == Q.rear) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(LinkQueue* Q, QElemType e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL) { + return ERROR; + } + + p = (QueuePtr) malloc(sizeof(QNode)); + if(!p) { + exit(OVERFLOW); + } + + p->data = e; + p->next = NULL; + + (*Q).rear->next = p; + (*Q).rear = p; + + return OK; +} + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(LinkQueue* Q, QElemType* e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL || (*Q).front == (*Q).rear) { + return ERROR; + } + + p = (*Q).front->next; + *e = p->data; + + (*Q).front->next = p->next; + if((*Q).rear == p) { + (*Q).rear = (*Q).front; + } + + free(p); + + return OK; +} + +#endif diff --git a/Dev-C++/ExerciseBook/07.22-07.23/LinkQueue.h b/Dev-C++/ExerciseBook/07.22-07.23/LinkQueue.h new file mode 100644 index 0000000..a380617 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.22-07.23/LinkQueue.h @@ -0,0 +1,64 @@ +/*========================= + * ¶ÓÁеÄÁ´Ê½´æ´¢½á¹¹£¨Á´¶Ó£© + ==========================*/ + +#ifndef LINKQUEUE_H +#define LINKQUEUE_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* Á´¶ÓÔªËØÀàÐͶ¨Òå */ +typedef int QElemType; + +// ¶ÓÁÐÔªËؽṹ +typedef struct QNode { + QElemType data; + struct QNode* next; +} QNode, * QueuePtr; + +// ¶ÓÁнṹ +typedef struct { + QueuePtr front; // ¶ÓÍ·Ö¸Õë + QueuePtr rear; // ¶ÓβָÕë +} LinkQueue; // ¶ÓÁеÄÁ´Ê½´æ´¢±íʾ + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄÁ´¶Ó¡£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁдøÓÐÍ·½áµã + */ +Status InitQueue(LinkQueue* Q); + +/* + * ÅÐ¿Õ + * + * ÅжÏÁ´¶ÓÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Á´¶ÓΪ¿Õ + * FALSE: Á´¶Ó²»Îª¿Õ + */ +Status QueueEmpty(LinkQueue Q); + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(LinkQueue* Q, QElemType e); + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(LinkQueue* Q, QElemType* e); + +#endif diff --git a/Dev-C++/ExerciseBook/07.22-07.23/TestData_DG.txt b/Dev-C++/ExerciseBook/07.22-07.23/TestData_DG.txt new file mode 100644 index 0000000..c17bb67 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.22-07.23/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú6 +»¡Êý¡ú11 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬D¡¿¡¾C£¬D¡¿¡¾C£¬E¡¿¡¾D£¬C¡¿¡¾E£¬A¡¿¡¾E£¬B¡¿¡¾E£¬F¡¿¡¾F£¬B¡¿¡¾F£¬D¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.24/07.24.cpp b/Dev-C++/ExerciseBook/07.24/07.24.cpp new file mode 100644 index 0000000..c01fdb0 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.24/07.24.cpp @@ -0,0 +1,91 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// +#include "MGraph.h" //**¡ø07 ͼ**// + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * ÀûÓÃÕ»¶ÔÓÐÏòÇ¿Á¬Í¨Í¼½øÐÐÉî¶ÈÓÅÏȱéÀú£¬ + * Ï°ÌâÖÐÖ¸³ö²»¾ÐÄàÓÚ¾ßÌåµÄͼ½á¹¹£¬µ«ÊÇÕâÀïÒÀ¾É²ÉÓÃÁËÁÚ½Ó¾ØÕó´æ´¢µÄͼ×÷ΪʾÀý¡£ + */ +Status Algo_7_24(MGraph G); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Éî¶ÈÓÅÏȱéÀúͼ...\n"); + { + Algo_7_24(G); + printf("\n"); + } + + return 0; +} + + +/* + * ÀûÓÃÕ»¶ÔÓÐÏòÇ¿Á¬Í¨Í¼½øÐÐÉî¶ÈÓÅÏȱéÀú£¬ + * Ï°ÌâÖÐÖ¸³ö²»¾ÐÄàÓÚ¾ßÌåµÄͼ½á¹¹£¬µ«ÊÇÕâÀïÒÀ¾É²ÉÓÃÁËÁÚ½Ó¾ØÕó´æ´¢µÄͼ×÷ΪʾÀý¡£ + */ +Status Algo_7_24(MGraph G) { + SqStack S; + SElemType e; + int i; + + if(G.vexnum < 1) { + return ERROR; + } + + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + InitStack(&S); + + // µÚÒ»¸ö¶¥µãÈëÕ» + Push(&S, 0); + visited[0] = TRUE; + printf("%c ", G.vexs[0]); + + while(!StackEmpty(S)) { + GetTop(S, &e); + + for(i = 0; i < G.vexnum; i++) { + if(G.arcs[e][i].adj!=0 && visited[i]==FALSE) { + Push(&S, i); + visited[i] = TRUE; + printf("%c ", G.vexs[i]); + + // Á¢¿ÌÌø³öµ±Ç°Ñ­»·£¬½øÐÐÏÂÒ»ÂÖÉî¶ÈËÑÑ° + break; + } + } + + // Èç¹û¶¥µãeûÓÐδ·ÃÎʵÄÁÚ½ÓµãÁË£¬Ôò½«¸Ã¶¥µã³öÕ» + if(i == G.vexnum) { + Pop(&S, &e); + } + } + + printf("\n"); + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.24/07.24.dev b/Dev-C++/ExerciseBook/07.24/07.24.dev new file mode 100644 index 0000000..ba47d82 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.24/07.24.dev @@ -0,0 +1,111 @@ +[Project] +FileName=07.24.dev +Name=07.24 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 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zstc9djH|A9-xAt)mKLnbrHMoQopS2t=o`lxQBOLyk*(i08Y=$dj1s4}vos2&p-d76 zkQZE$@~~=CAnZCZJ8;d9Woayv46ls1+SfkM#gSn6Cdv^f^Tm7TSF!eYeE@$X#JQd@ zGdwi;8KY#{P!EtZ%l!GV;OV2?cVBW-?=9Rs2&`;EuHNm!mJ@%=5MgU{`v6}AL6%!t z-EBxDTB)V0D+w=Wr2xr-UVT1inEIsOs9rF7s->zJ(GuJJ!Y;^~pY^VK^DOhZNMw!I zEs2kw`U57L76G8;0Con+4P=5`_6`2BUias1^$^V!wCnj%Sr_dw`J=NrRc{gH4~4MG z5YTrXR4=fsc+V^hc-Co=l)OC|ITZOK_qscx~lq?oE^!on* D-4|Tz literal 0 HcmV?d00001 diff --git a/Dev-C++/ExerciseBook/07.24/MGraph.cpp b/Dev-C++/ExerciseBook/07.24/MGraph.cpp new file mode 100644 index 0000000..214a9fd --- /dev/null +++ b/Dev-C++/ExerciseBook/07.24/MGraph.cpp @@ -0,0 +1,219 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#include "MGraph.h" //**¡ø07 ͼ**// + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨Í¼/±í + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÓÐÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info) { + //¼Èë±ß/»¡µÄÐÅÏ¢£¬±¾²âÊÔÉæ¼°µ½µÄ±ß/»¡Ä¬ÈÏÎÞÆäËû¸½¼ÓÐÅÏ¢ +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.24/MGraph.h b/Dev-C++/ExerciseBook/07.24/MGraph.h new file mode 100644 index 0000000..7ba1b84 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.24/MGraph.h @@ -0,0 +1,112 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.24/SqStack.cpp b/Dev-C++/ExerciseBook/07.24/SqStack.cpp new file mode 100644 index 0000000..f0b3b3d --- /dev/null +++ b/Dev-C++/ExerciseBook/07.24/SqStack.cpp @@ -0,0 +1,106 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * È¡Öµ + * + * ·µ»ØÕ»¶¥ÔªËØ£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status GetTop(SqStack S, SElemType* e) { + if(S.base == NULL || S.top == S.base) { + return 0; + } + + // ²»»á¸Ä±äÕ»ÖÐÔªËØ + *e = *(S.top - 1); + + return OK; +} + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // Õ»Âúʱ£¬×·¼Ó´æ´¢¿Õ¼ä + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // ´æ´¢·ÖÅäʧ°Ü + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // ½øÕ»Ïȸ³Öµ£¬Õ»¶¥Ö¸ÕëÔÙ×ÔÔö + *(S->top++) = e; + + return OK; +} + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // ³öÕ»Õ»¶¥Ö¸ÕëÏȵݼõ£¬ÔÙ¸³Öµ + *e = *(--(*S).top); + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.24/SqStack.h b/Dev-C++/ExerciseBook/07.24/SqStack.h new file mode 100644 index 0000000..a7a5f21 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.24/SqStack.h @@ -0,0 +1,66 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define STACK_INIT_SIZE 100 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define STACKINCREMENT 10 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳ÐòÕ»ÔªËØÀàÐͶ¨Òå */ +typedef int SElemType; + +// ˳ÐòÕ»ÔªËؽṹ +typedef struct { + SElemType* base; // Õ»µ×Ö¸Õë + SElemType* top; // Õ»¶¥Ö¸Õë + int stacksize; // µ±Ç°ÒÑ·ÖÅäµÄ´æ´¢¿Õ¼ä£¬ÒÔÔªËØΪµ¥Î» +} SqStack; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S); + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S); + +/* + * È¡Öµ + * + * ·µ»ØÕ»¶¥ÔªËØ£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status GetTop(SqStack S, SElemType* e); + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e); + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/Dev-C++/ExerciseBook/07.24/TestData_DG.txt b/Dev-C++/ExerciseBook/07.24/TestData_DG.txt new file mode 100644 index 0000000..e330f24 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.24/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú10 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬C¡¿¡¾C£¬D¡¿¡¾D£¬A¡¿¡¾A£¬B¡¿¡¾D£¬E¡¿¡¾E£¬F¡¿¡¾E£¬H¡¿¡¾F£¬D¡¿¡¾F£¬G¡¿¡¾G£¬H¡¿¡¾H£¬E¡¿¡¾B£¬J¡¿¡¾J£¬I¡¿¡¾I£¬B¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.25/07.25.cpp b/Dev-C++/ExerciseBook/07.25/07.25.cpp new file mode 100644 index 0000000..9fa230d --- /dev/null +++ b/Dev-C++/ExerciseBook/07.25/07.25.cpp @@ -0,0 +1,134 @@ +#include +#include "Graph.h" + +// ·ÃÎʱêÖ¾ +typedef enum { + UnVisited, // δ·ÃÎÊ + Visited, // ÒÑ·ÃÎÊ + InPath, // ÔÚ·¾¶ÉÏ +} FLAG; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static FLAG flags[MAX_VERTEX_NUM]; + + +/* + * ÕÒ³öÓÐÏòͼÖеĻØ· + */ +void Algo_7_25(Graph G); + +/* + * ´Óstart¶¥µã¿ªÊ¼²éÕһط¡£ + * + * pathÓÃÀ´´æ´¢Â·¹ýµÄ¶¥µã£¬path[0]´æ´¢pathÖеĶ¥µãÊýÁ¿¡£ + * + * Èç¹ûÕÒµ½»Ø·£¬·µ»Ø»Ø·Æðʼ¶¥µãµÄÐòºÅ£» + * Èç¹ûûÕÒµ½»Ø·£¬Ôò·µ»Ø-1¡£ + */ +int Circuit_7_25(Graph G, int start, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + Graph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path = "TestData_DG.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒͼÖеĻØ·...\n"); + { + Algo_7_25(G); + printf("\n"); + } + + return 0; +} + + +/* + * ÕÒ³öÓÐÏòͼÖеĻØ· + */ +void Algo_7_25(Graph G) { + int i, w = -1; + int path[MAX_VERTEX_NUM + 1]; // 0ºÅµ¥ÔªÓÃÀ´¼Ç¼pathÖд洢µÄ¶¥µãÊýÁ¿ + + // °ÑËùÓж¥µã±ê¼ÇΪδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + flags[i] = UnVisited; + } + + path[0] = 0; + + for(i = 0; i < G.vexnum; i++) { + w = Circuit_7_25(G, i, path); + + if(w != -1) { + break; // Èç¹ûÕÒµ½ÁËÈÎÒâÒ»Ìõ»Ø·£¬Ìø³öÑ­»· + } + } + + if(w == -1) { + printf("¸ø¶¨µÄÓÐÏòͼÖв»´æÔڻط£¡\n"); + return; + } + + printf("ÓÐÏòͼÖÐÕÒµ½µÄÊ×Ìõ»Ø·Ϊ£º"); + for(i = 1; path[i] != w; i++) { + // Ñ°ÕһطÆðµã + } + // ÕÒµ½Á˻طÆðµã + if(path[i] == w) { + while(i <= path[0]) { + printf("%c -> ", G.vexs[path[i]]); + i++; + } + printf("%c\n", G.vexs[w]); + } +} + +/* + * ´Óstart¶¥µã¿ªÊ¼²éÕһط¡£ + * + * pathÓÃÀ´´æ´¢Â·¹ýµÄ¶¥µã£¬path[0]´æ´¢pathÖеĶ¥µãÊýÁ¿¡£ + * + * Èç¹ûÕÒµ½»Ø·£¬·µ»Ø»Ø·Æðʼ¶¥µãµÄÐòºÅ£» + * Èç¹ûûÕÒµ½»Ø·£¬Ôò·µ»Ø-1¡£ + */ +int Circuit_7_25(Graph G, int start, int path[MAX_VERTEX_NUM]) { + int i; + int v, w; + + path[0]++; + path[path[0]] = start; + flags[start] = InPath; // ±ê¼Ç¸Ã¶¥µãÒѽøÈë·¾¶ + + // ±éÀú¶¥µãstartµÄÁÚ½Óµã + for(i = G.fst[start]; i <= G.lst[start]; i++) { + v = G.s[i]; // »ñÈ¡ÁÚ½ÓµãÐòºÅ + + // Èç¹ûÓöµ½ÁËÒÑÔÚ·¾¶ÖеÄÁڽӵ㣬˵Ã÷³öÏÖÁ˻ط + if(flags[v] == InPath) { + return v; + + // ºöÂÔÒÑ·ÃÎʵÄÁÚ½Óµã + } else if(flags[v] == Visited) { + continue; + } else { + w = Circuit_7_25(G, v, path); + if(w != -1) { + return w; + } + } + } + + // ´Ó·¾¶ÖÐÒƳý¸Ã¶¥µã£¬²¢½«Æä״̬½µ¼¶Îª"ÒÑ·ÃÎÊ" + path[0]--; + flags[start] = Visited; + + return -1; +} diff --git a/Dev-C++/ExerciseBook/07.25/07.25.dev b/Dev-C++/ExerciseBook/07.25/07.25.dev new file mode 100644 index 0000000..21a0f3c --- /dev/null +++ b/Dev-C++/ExerciseBook/07.25/07.25.dev @@ -0,0 +1,91 @@ +[Project] +FileName=07.25.dev +Name=07.25 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 +UnitCount=4 + +[VersionInfo] +Major=1 +Minor=0 +Release=0 +Build=0 +LanguageID=1033 +CharsetID=1252 +CompanyName= +FileVersion= +FileDescription=Developed 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file mode 100644 index 0000000..5642088 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.25/Graph.cpp @@ -0,0 +1,164 @@ +/*================================= + * ÓÉÌâ7.25µÄÃèÊö´´½¨µÄÒ»ÖÖÓÐÏòͼ½á¹¹ + ==================================*/ + +#include "Graph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + + +/* + * ´´½¨ÓÐÏòͼ + * + * pathΪNULL»òΪ""ʱ£¬´Ó¿ØÖÆ̨¶ÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + * ·ñÔò£¬´ÓÔ¤ÉèµÄÎļþÖжÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + */ +Status CreateGraph(Graph* G, char* path) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = path == NULL || strcmp(path, "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(!readFromConsole) { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path, "r"); + if(fp == NULL) { + return ERROR; + } + } + + Create(G); + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return OK; +} + +/* + * ´´½¨ÓÐÏòͼµÄºËÐÄËã·¨ + */ +static void Create(Graph* G) { + int i, j, k; + VertexType v1, v2; + Boolean adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM] = {FALSE}; // ¼Ç¼ÁÚ½ÓµãÐÅÏ¢ + int cur; + + // ´Ó¿ØÖÆ̨¶ÁÈ¡ + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + + // ´ÓÎļþ¶ÁÈ¡ + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + adjs[i][j] = TRUE; + } + + cur = 0; + + // ¼Ç¼ÁÚ½ÓµãÐÅÏ¢ + for(i = 0; i < G->vexnum; i++) { + G->fst[i] = -1; + G->lst[i] = -2; + + for(j = 0; j < G->vexnum; j++) { + if(adjs[i][j] == TRUE) { + if(G->fst[i] == -1) { + G->fst[i] = cur; + } + + G->s[cur++] = j; // ´æ´¢ºó¼Ì¶¥µãÐÅÏ¢ + } + } + + if(G->fst[i] != -1) { + G->lst[i] = cur - 1; + } + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚÓÐÏòͼÖеÄλÖà + */ +int LocateVex(Graph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * ´òÓ¡ÓÐÏòͼ½á¹¹ + */ +void PrintGraph(Graph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°ÓÐÏòͼ°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c -> ", G.vexs[i]); + for(j = G.fst[i]; j <= G.lst[i]; j++) { + printf("%c ", G.vexs[G.s[j]]); + } + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.25/Graph.h b/Dev-C++/ExerciseBook/07.25/Graph.h new file mode 100644 index 0000000..b3224dc --- /dev/null +++ b/Dev-C++/ExerciseBook/07.25/Graph.h @@ -0,0 +1,53 @@ +/*================================= + * ÓÉÌâ7.25µÄÃèÊö´´½¨µÄÒ»ÖÖÓÐÏòͼ½á¹¹ + ==================================*/ + +#ifndef GRAPH_H +#define GRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +#define MAX_VERTEX_NUM 26 // ¶¥µã¸öÊý×î´óÖµ +#define MAX_ADJ_NUM 650 // ËùÓж¥µãµÄÁÚ½ÓµãÊýÁ¿ºÍ×î´óÖµ + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ÓÐÏòͼÀàÐͶ¨Òå +typedef struct Graph { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + int s[MAX_ADJ_NUM]; // ¸÷¶¥µãµÄÁÚ½Óµã + int fst[MAX_VERTEX_NUM]; // fst[v] -> ¶¥µãvµÄÁÚ½ÓµãÔÚsÖеÄÆðʼϱê + int lst[MAX_VERTEX_NUM]; // lst[v] -> ¶¥µãvµÄÁÚ½ÓµãÔÚsÖеÄÖÕֹϱê + int vexnum, arcnum; // ÓÐÏòͼµÄ¶¥µãÊýºÍ»¡Êý +} Graph; + + +/* + * ´´½¨ÓÐÏòͼ + * + * pathΪNULL»òΪ""ʱ£¬´Ó¿ØÖÆ̨¶ÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + * ·ñÔò£¬´ÓÔ¤ÉèµÄÎļþÖжÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + */ +Status CreateGraph(Graph* G, char* path); + +/* + * ´´½¨ÓÐÏòͼµÄºËÐÄËã·¨ + */ +static void Create(Graph* G); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚÓÐÏòͼÖеÄλÖà + */ +int LocateVex(Graph G, VertexType u); + +/* + * ´òÓ¡ÓÐÏòͼ½á¹¹ + */ +void PrintGraph(Graph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.25/TestData_DG.txt b/Dev-C++/ExerciseBook/07.25/TestData_DG.txt new file mode 100644 index 0000000..7941f40 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.25/TestData_DG.txt @@ -0,0 +1,4 @@ +¶¥µãÊý¡ú9 +»¡Êý¡ú11 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾D£¬E¡¿¡¾E£¬F¡¿¡¾F£¬C¡¿¡¾F£¬G¡¿¡¾F£¬H¡¿¡¾H£¬I¡¿¡¾I£¬D¡¿¡¾E£¬B¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.26/07.26.cpp b/Dev-C++/ExerciseBook/07.26/07.26.cpp new file mode 100644 index 0000000..d833b2a --- /dev/null +++ b/Dev-C++/ExerciseBook/07.26/07.26.cpp @@ -0,0 +1,141 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// +#include "TopologicalSorting.h" //**¡ø07 ͼ**// + +/* + * ¶ÔÎ޻طµÄÓÐÏòͼÖеĶ¥µãÊʵ±µØ±àºÅ£¬Ê¹ÆäÁÚ½Ó¾ØÕóΪÏÂÈý½ÇÐÎÇÒÖ÷¶Ô½ÇÏßΪȫÁã¡£ + * µ÷Õû³É¹¦ºó£¬Êä³öоɱàºÅ¶ÔÕÕ±í¡£ + * + * ×¢£º±¾ÖÊÉÏÇóÍØÆËÅÅÐòµÄÄæÐòÁÐ + */ +void Algo_7_26(ALGraph G); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ÷Õû½áµã˳ÐòºóµÄͼ½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +static void PrintGraph_7_26(ALGraph G, int topo[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Êä³öÓÐÏòͼµÄ¶¥µã˳Ðò...\n"); + { + Algo_7_26(G); + printf("\n"); + } + + return 0; +} + + +/* + * ¶ÔÎ޻طµÄÓÐÏòͼÖеĶ¥µãÊʵ±µØ±àºÅ£¬Ê¹ÆäÁÚ½Ó¾ØÕóΪÏÂÈý½ÇÐÎÇÒÖ÷¶Ô½ÇÏßΪȫÁã¡£ + * µ÷Õû³É¹¦ºó£¬Êä³öоɱàºÅ¶ÔÕÕ±í¡£ + * + * ×¢£º±¾ÖÊÉÏÇóÍØÆËÅÅÐòµÄÄæÐòÁÐ + */ +void Algo_7_26(ALGraph G) { + int i; + int tmp; + int topo[MAX_VERTEX_NUM]; + + if(TopologicalSort(G, topo) == ERROR) { + printf("¸ø¶¨µÄÓÐÏòͼ´æÔڻط£¬ÎÞ·¨»ñÈ¡ÆäÍØÆËÐòÁÐ...\n"); + return; + } + + printf("µ÷ÕûÇ°£º"); + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[i].data); + } + printf("\n"); + + // ¶ÔµÃµ½µÄÍØÆËÐòÁÐ×öÒ»¸ö¼òµ¥µÄÄæÖà + for(i = 0; i < G.vexnum / 2; i++) { + tmp = topo[i]; + topo[i] = topo[G.vexnum - i - 1]; + topo[G.vexnum - i - 1] = tmp; + } + + printf("µ÷Õûºó£º"); + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[topo[i]].data); + } + printf("\n\n"); + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ¸ù¾Ýµ÷ÕûºóµÄ¶¥µã´ÎÐò£¬´òÓ¡Æä´æ´¢½á¹¹(´Ë²½Öè¿ÉÑ¡)...\n"); + PrintGraph_7_26(G, topo); +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ÷Õû½áµã˳ÐòºóµÄͼ½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +static void PrintGraph_7_26(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, j; + int pos[MAX_VERTEX_NUM]; + int adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; + ArcNode* p; + + // ¼Ç¼¸÷¶¥µãÔÚÍØÆËÐòÁÐÖеÄË÷Òý + for(i = 0; i < G.vexnum; i++) { + pos[topo[i]] = i; + } + + // ³õʼ»¯ + for(i = 0; i < G.vexnum; i++) { + for(j = 0; j < G.vexnum; j++) { + adjs[i][j] = 0; + } + } + + // ±éÀúÓÐÏòͼ¸÷»¡Ö®¼äµÄ¹Øϵ + for(i = 0; i < G.vexnum; i++) { + p = G.vertices[i].firstarc; + + while(p != NULL) { + adjs[pos[i]][pos[p->adjvex]] = 1; + p = p->nextarc; + } + } + + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vertices[topo[i]].data); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[topo[i]].data); + + for(j = 0; j < G.vexnum; j++) { + if(adjs[i][j] == 0) { + printf(" -"); + } else { + printf("%3d", adjs[i][j]); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.26/07.26.dev 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"ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.26/ALGraph.h b/Dev-C++/ExerciseBook/07.26/ALGraph.h new file mode 100644 index 0000000..e70b2c2 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.26/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.26/SqStack.cpp b/Dev-C++/ExerciseBook/07.26/SqStack.cpp new file mode 100644 index 0000000..f056778 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.26/SqStack.cpp @@ -0,0 +1,90 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // Õ»Âúʱ£¬×·¼Ó´æ´¢¿Õ¼ä + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // ´æ´¢·ÖÅäʧ°Ü + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // ½øÕ»Ïȸ³Öµ£¬Õ»¶¥Ö¸ÕëÔÙ×ÔÔö + *(S->top++) = e; + + return OK; +} + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // ³öÕ»Õ»¶¥Ö¸ÕëÏȵݼõ£¬ÔÙ¸³Öµ + *e = *(--(*S).top); + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.26/SqStack.h b/Dev-C++/ExerciseBook/07.26/SqStack.h new file mode 100644 index 0000000..a8fe835 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.26/SqStack.h @@ -0,0 +1,59 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define STACK_INIT_SIZE 100 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define STACKINCREMENT 10 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳ÐòÕ»ÔªËØÀàÐͶ¨Òå */ +typedef int SElemType; + +// ˳ÐòÕ»ÔªËؽṹ +typedef struct { + SElemType* base; // Õ»µ×Ö¸Õë + SElemType* top; // Õ»¶¥Ö¸Õë + int stacksize; // µ±Ç°ÒÑ·ÖÅäµÄ´æ´¢¿Õ¼ä£¬ÒÔÔªËØΪµ¥Î» +} SqStack; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S); + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S); + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e); + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/Dev-C++/ExerciseBook/07.26/TestData_DG.txt b/Dev-C++/ExerciseBook/07.26/TestData_DG.txt new file mode 100644 index 0000000..a240ed8 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.26/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú16 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾F£¬J¡¿¡¾F£¬B¡¿¡¾F£¬C¡¿¡¾F£¬A¡¿¡¾B£¬C¡¿¡¾J£¬I¡¿¡¾C£¬I¡¿¡¾C£¬H¡¿¡¾I£¬H¡¿¡¾C£¬G¡¿¡¾D£¬A¡¿¡¾D£¬L¡¿¡¾L£¬A¡¿¡¾D£¬K¡¿¡¾K£¬E¡¿¡¾E£¬G¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.26/TopologicalSorting.cpp b/Dev-C++/ExerciseBook/07.26/TopologicalSorting.cpp new file mode 100644 index 0000000..82001f5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.26/TopologicalSorting.cpp @@ -0,0 +1,96 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#include "TopologicalSorting.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + * + * ×¢£ºÓë½Ì²Ä²»Í¬Ö®´¦ÔÚÓÚ£¬´Ë´¦Ôö¼ÓÁËÒ»¸ötopoÊý×é×ö²ÎÊý¡£ + * ¡¡¡¡¶ÔÓÚÇó³öµÄÍØÆËÐòÁУ¬²»»áÖ±½ÓÊä³ö£¬¶øÊǻỺ´æµ½topoÖС£ + * ¡¡¡¡ÕâÑùµÄ×öµÄÄ¿µÄÊǺóÐøµÄÏ°ÌâÖлáÓжദÓõ½¸ÃÍØÆËÐòÁС£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, k, count; + int indegree[MAX_VERTEX_NUM]; + SqStack S; + ArcNode* p; + + // ¶Ô¸÷¶¥µãÇóÈë¶È + FindInDegree(G, indegree); + + // ³õʼ»¯ÁãÈë¶È¶¥µãÕ» + InitStack(&S); + + // ½¨Á¢Èë¶ÈΪ0µÄ¶¥µãÕ» + for(i = 0; i < G.vexnum; i++) { + // ½«Èë¶ÈΪ0µÄ¶¥µãÌí¼Óµ½Õ»ÖÐ + if(indegree[i] == 0) { + Push(&S, i); + } + } + + // ¶ÔÍØÆËÐòÁÐÖеĶ¥µã¼ÆÊý + count = 0; + + // ±éÀú¶¥µãÕ» + while(!StackEmpty(S)) { + // »ñÈ¡Ò»¸öÁãÈë¶È¶¥µã + Pop(&S, &i); + + // ½«¸÷¶¥µãµÄÐòºÅÔÝ´æÆðÀ´ + topo[count++] = i; + + // ±éÀúiºÅ¶¥µãµÄÁÚ½Óµã + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // »ñÈ¡¶¥µãÐòºÅ + k = p->adjvex; + + /* + * ½«iºÅ¶¥µãÿ¸öÁÚ½ÓµãµÄÈë¶È¼õÒ»£¬ÕâÏ൱ÓÚÇжÎiºÅ¶¥µãµ½ÆäËüÁÚ½ÓµãµÄÁªÏµ¡£ + * Èç¹û³öÏÖÁËеÄÈë¶ÈΪ0µÄ¶¥µã£¬¼ÌÐø½«ÆäÈëÕ»¡£ + */ + if((--indegree[k]) == 0) { + Push(&S, k); + } + } + } + + // Èç¹ûÓöµ½Á˻ط£¬Ôò·µ»ØERROR + if(count < G.vexnum) { + return ERROR; + } else { + return OK; + } +} + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]) { + int i; + ArcNode* p; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // ±éÀú¸Ã¶¥µãµÄËùÓÐÁڽӵ㣬ͳ¼Æ¸÷¶¥µãµÄÈë¶È + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } +} diff --git a/Dev-C++/ExerciseBook/07.26/TopologicalSorting.h b/Dev-C++/ExerciseBook/07.26/TopologicalSorting.h new file mode 100644 index 0000000..3fae677 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.26/TopologicalSorting.h @@ -0,0 +1,28 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#ifndef TOPOLOGICALSORTING_H +#define TOPOLOGICALSORTING_H + +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]); + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]); + +#endif diff --git a/Dev-C++/ExerciseBook/07.27/07.27.cpp b/Dev-C++/ExerciseBook/07.27/07.27.cpp new file mode 100644 index 0000000..91012db --- /dev/null +++ b/Dev-C++/ExerciseBook/07.27/07.27.cpp @@ -0,0 +1,133 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * Êä³öÂú×ãÌõ¼þµÄ¼òµ¥Â·¾¶ + */ +void Algo_7_27(ALGraph G, VertexType start, VertexType end, int k); + +/* + * ²éÕÒÂú×ãÌõ¼þµÄ¼òµ¥Â·¾¶¡£ + * + * pathÓÃÀ´´æ´¢Â·¹ýµÄ¶¥µã£¬path[0]´æ´¢pathÖеĶ¥µãÊýÁ¿¡£ + * + * Èç¹ûÕÒµ½¼òµ¥Â·¾¶£¬Ôò½«Æä´æ´¢µ½pathÖУ¬²¢·µ»ØOK£»·ñÔò£¬·µ»ØERROR¡£ + */ +Status SimplePath_7_27(ALGraph G, int start, int end, int k, int path[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = ""; + path[1] = ""; + path[2] = "TestData_UDG.txt"; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒ¼òµ¥Â·¾¶...\n"); + { + VertexType start = 'A'; + VertexType end = 'B'; + int k = 4; + + Algo_7_27(G, start, end, k); + printf("\n"); + } + + return 0; +} + + +/* + * Êä³öÂú×ãÌõ¼þµÄ¼òµ¥Â·¾¶ + */ +void Algo_7_27(ALGraph G, VertexType start, VertexType end, int k) { + int i, m, n; + int path[MAX_VERTEX_NUM + 1]; // 0ºÅµ¥ÔªÓÃÀ´¼Ç¼pathÖд洢µÄ¶¥µãÊýÁ¿ + Status s; + + m = LocateVex(G, start); + n = LocateVex(G, end); + + if(k <= 0 || m == -1 || n == -1 || m == n) { + printf("²ÎÊý´íÎó£¡\n"); + return; + } + + // °ÑËùÓж¥µã±ê¼ÇΪδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + s = SimplePath_7_27(G, m, n, k, path); + + if(s == ERROR) { + printf("δÕÒµ½·ûºÏÌõ¼þµÄ¼òµ¥Â·¾¶£¡\n"); + return; + } + + printf("%c µ½ %c Ö®¼ä´æÔÚµÄÒ»Ìõ³¤¶ÈΪ %d µÄ¼òµ¥Â·¾¶Îª£º", start, end, k); + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + printf("\n"); +} + +/* + * ²éÕÒÂú×ãÌõ¼þµÄ¼òµ¥Â·¾¶¡£ + * + * pathÓÃÀ´´æ´¢Â·¹ýµÄ¶¥µã£¬path[0]´æ´¢pathÖеĶ¥µãÊýÁ¿¡£ + * + * Èç¹ûÕÒµ½¼òµ¥Â·¾¶£¬Ôò½«Æä´æ´¢µ½pathÖУ¬²¢·µ»ØOK£»·ñÔò£¬·µ»ØERROR¡£ + */ +Status SimplePath_7_27(ALGraph G, int start, int end, int k, int path[MAX_VERTEX_NUM]) { + int w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // ±ê¼Ç¸Ã¶¥µãÒÑ·ÃÎÊ + + // Èç¹ûÓöµ½Öյ㣬ÔòÐèÒªÊÓÇéÐηµ»Ø + if(start == end) { + // ¶¥µãÊý = ·¾¶³¤¶È+1 + if(path[0] == k + 1) { + return OK; + } + } else { + // Éî¶ÈÓÅÏȱéÀú + for(w = FirstAdjVex(G, G.vertices[start].data); + w >= 0; + w = NextAdjVex(G, G.vertices[start].data, G.vertices[w].data)) { + // ºöÂÔÒÑ·ÃÎʹýµÄ¶¥µã + if(visited[w] == TRUE) { + continue; + } + + if(SimplePath_7_27(G, w, end, k, path) == OK) { + return OK; + } + } + } + + // ´Ó·¾¶ÖÐÒƳý¸Ã¶¥µã£¬²¢½«Æä״̬½µ¼¶Îª"ÒÑ·ÃÎÊ" + path[0]--; + visited[start] = FALSE; // Çå³ý·ÃÎʱê¼Ç + + return ERROR; +} diff --git a/Dev-C++/ExerciseBook/07.27/07.27.dev b/Dev-C++/ExerciseBook/07.27/07.27.dev new file mode 100644 index 0000000..11031aa --- /dev/null +++ b/Dev-C++/ExerciseBook/07.27/07.27.dev @@ -0,0 +1,91 @@ +[Project] +FileName=07.27.dev +Name=07.27 +Type=1 +Ver=2 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+int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vertices[v].data; +} + +/* + * ¸³Öµ + * + * ½«¶¥µãv¸³ÖµÎªvalue + */ +Status PutVex(ALGraph* G, VertexType v, VertexType value) { + int k; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex((*G), v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // Ì滻ͷ½áµã + (*G).vertices[k].data = value; + + /* Á´±íÖеÄÔªËØ´æ´¢µÄÊǶ¥µãµÄλÖã¬ËùÒÔÎÞÐè±éÀúÁ´±íÀ´Ì滻Ŀ±êÖµ */ + + return OK; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(ALGraph G, VertexType v) { + int k; + ArcNode* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(G, v); + if(k == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.vertices[k].firstarc; + if(r == NULL) { + return -1; + } else { + return r->adjvex; + } +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w) { + int kv, kw; + ArcNode* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.vertices[kv].firstarc; + if(r == NULL) { + return -1; // Á´±íΪ¿Õ + } + + // ÔÚÁ´±íÖвéÕÒw + while(r != NULL && r->adjvex < kw) { + r = r->nextarc; + } + + // Èç¹ûûÕÒµ½w + if(r == NULL) { + return -1; + } + + // Èç¹ûÕÒµ½ÁËw£¬µ«ÊÇwºóÃæûÓбðµÄ¶¥µã£¬ÄÇôҲÎÞ·¨·µ»ØÁÚ½Óµã + if(r->adjvex == kw && r->nextarc != NULL) { + return r->nextarc->adjvex; + } + + return -1; +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(ALGraph* G, VertexType v) { + int k; + + // ¶¥µãÊý¹ý¶à + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // Ö¸¶¨µÄ¶¥µã´æÔÚʱ£¬ÎÞÐèÖظ´Ìí¼Ó + } + + G->vertices[(*G).vexnum].data = v; + G->vertices[(*G).vexnum].firstarc = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(ALGraph* G, VertexType v) { + int k, i; + ArcNode* pre, * r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ÕÒµ½ÒÔ½áµãv³ö·¢µÄÁ´±í£¬ÊͷŸÃÁ´±íÉÏËùÓнáµã + r = G->vertices[k].firstarc; + while(r != NULL) { + pre = r; + r = r->nextarc; + free(pre); + + (*G).arcnum--; + } + + G->vertices[k].firstarc = NULL; + + // ±éÀúÆäËüËùÓÐÁ´±í£¬É¾³ýÄÇЩָÏò¶¥µãvµÄ»¡£»¶øÇÒ£¬Ï±곬¹ýkµÄ¶¥µã£¬ÆäϱêÖµÐèÒªµÝ¼õ + for(i = 0; i < G->vexnum; i++) { + pre = NULL; + r = G->vertices[i].firstarc; + while(r != NULL && r->adjvex < k) { + pre = r; + r = r->nextarc; + } + + // Á´±íÉÏËùÓж¥µãµÄϱê¾ùСÓÚk + if(r == NULL) { + continue; + } + + if(r->adjvex == k) { + // ´Ó¿ªÍ·É¾µô½áµãv + if(pre == NULL) { + G->vertices[i].firstarc = r->nextarc; + + // ´ÓÖмäij¸öλÖÃɾµô½áµãv + } else { + pre->nextarc = r->nextarc; + } + + free(r); + + // Èç¹ûÕâÊÇÓÐÏòµÄͼ/Íø£¬ÒÀÈ»ÐèÒªµÝ¼õ±ß/»¡µÄÊýÁ¿ + if((*G).kind == DG || (*G).kind == DN) { + (*G).arcnum--; + } + } + + // ÔÙ´ÎÈ·¶¨rµÄλÖà + if(pre == NULL) { + r = G->vertices[i].firstarc; + } else { + r = pre->nextarc; + } + + // ϱ곬¹ýkµÄ¶¥µã£¬ÐèÒªµÝ¼õÆäϱê + while(r != NULL && r->adjvex > k) { + r->adjvex -= 1; + r = r->nextarc; + } + } + + // ¶¥µã¼¯Ç°ÒÆ + for(i = k + 1; i < (*G).vexnum; i++) { + G->vertices[i - 1] = G->vertices[i]; + } + + // ¶¥µãÊýµÝ¼õ + (*G).vexnum--; + + return OK; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + for(count = 0; count < 2; count++) { + pre = NULL; + // ÔÚµ±Ç°Á´±íÖÐÕÒµ½´ýɾ³ýµÄ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // ÕÒµ½ÁË´ýɾ³ýµÄ±ß/»¡ + if(r != NULL && r->adjvex == head) { + if(pre == NULL) { + G->vertices[tail].firstarc = r->nextarc; + } else { + pre->nextarc = r->nextarc; + } + + free(r); + } else { + return ERROR; // ûÕÒµ½ + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹tailºÍhead + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + (*G).arcnum--; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»¼õÒ» + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.27/ALGraph.h b/Dev-C++/ExerciseBook/07.27/ALGraph.h new file mode 100644 index 0000000..f3bbcad --- /dev/null +++ b/Dev-C++/ExerciseBook/07.27/ALGraph.h @@ -0,0 +1,175 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v); + +/* + * ¸³Öµ + * + * ½«¶¥µãv¸³ÖµÎªvalue + */ +Status PutVex(ALGraph* G, VertexType v, VertexType value); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(ALGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(ALGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(ALGraph* G, VertexType v); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.27/TestData_UDG.txt b/Dev-C++/ExerciseBook/07.27/TestData_UDG.txt new file mode 100644 index 0000000..589753c --- /dev/null +++ b/Dev-C++/ExerciseBook/07.27/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú9 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾B£¬E¡¿¡¾E£¬D¡¿¡¾D£¬F¡¿¡¾F£¬A¡¿¡¾B£¬D¡¿¡¾A£¬C¡¿¡¾C£¬E¡¿¡¾A£¬H¡¿¡¾H£¬G¡¿¡¾G£¬C¡¿¡¾C£¬I¡¿¡¾H£¬I¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.28/07.28.cpp b/Dev-C++/ExerciseBook/07.28/07.28.cpp new file mode 100644 index 0000000..d3df298 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.28/07.28.cpp @@ -0,0 +1,110 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "MGraph.h" //**¡ø07 ͼ**// + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * Êä³öÂú×ãÌõ¼þµÄ¼òµ¥Â·¾¶ + */ +void Algo_7_28(MGraph G, VertexType start, VertexType end); + +/* + * ²éÕÒstartµ½endÖ®¼äµÄËùÓеļòµ¥Â·¾¶ + */ +void SimplePath_7_28(MGraph G, int start, int end, int path[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒ¼òµ¥Â·¾¶...\n"); + { + VertexType start = 'u'; + VertexType end = 'v'; + + Algo_7_28(G, start, end); + printf("\n"); + } + + return 0; +} + + +/* + * Êä³östartµ½endÖ®¼äµÄËùÓеļòµ¥Â·¾¶ + */ +void Algo_7_28(MGraph G, VertexType start, VertexType end) { + int i, m, n; + int path[MAX_VERTEX_NUM + 1]; // 0ºÅµ¥ÔªÓÃÀ´¼Ç¼pathÖд洢µÄ¶¥µãÊýÁ¿ + + m = LocateVex(G, start); + n = LocateVex(G, end); + + if(m == -1 || n == -1 || m == n) { + printf("²ÎÊý´íÎó£¡\n"); + return; + } + + // °ÑËùÓж¥µã±ê¼ÇΪδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + printf("²éÕÒ %c µ½ %c Ö®¼ä´æÔÚµÄËùÓмòµ¥Â·¾¶...\n", start, end); + SimplePath_7_28(G, m, n, path); +} + +/* + * ²éÕÒstartµ½endÖ®¼äµÄËùÓеļòµ¥Â·¾¶ + */ +void SimplePath_7_28(MGraph G, int start, int end, int path[MAX_VERTEX_NUM]) { + int i, w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // ±ê¼Ç¸Ã¶¥µãÒÑ·ÃÎÊ + + // Èç¹ûÓöµ½Âú×ãÌâÒâµÄ·¾¶£¬ÔòÊä³öËü + if(start == end) { + // Êä³öÕÒµ½µÄ¼òµ¥Â·¾¶ + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + printf("\n"); + } else { + // Éî¶ÈÓÅÏȱéÀú + for(w = FirstAdjVex(G, G.vexs[start]); + w >= 0; + w = NextAdjVex(G, G.vexs[start], G.vexs[w])) { + // ºöÂÔÒÑ·ÃÎʹýµÄ¶¥µã + if(visited[w] == TRUE) { + continue; + } + + SimplePath_7_28(G, w, end, path); + } + } + + // ´Ó·¾¶ÖÐÒƳý¸Ã¶¥µã£¬²¢½«Æä״̬½µ¼¶Îª"ÒÑ·ÃÎÊ" + path[0]--; + visited[start] = FALSE; // Çå³ý·ÃÎʱê¼Ç +} diff --git a/Dev-C++/ExerciseBook/07.28/07.28.dev b/Dev-C++/ExerciseBook/07.28/07.28.dev 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zPz>U${0Iif{4~chad}TW3l(<%;j=&E`U*B{uCkdXiN$U2sWCO_@M@a)-d{m?jCux3 zr5)?BThDczz9=;RJ$4t!XJaG)Gp=2_Q>N#&L!8!!7h|yj)11s|ABz{>j$+(ALszjpOMtyrD$ca z1lS!YxL-pZzoVf&N29qF;UD)xCW42arYcuf`!Gs<{3Z!JkZ4-?tj>SZ2*AaAL!pXo0vabx zulQ-v6Y17U`2Z z*xueApwcu!Wh}M9q$>x{azyAJrGz_+A5J!KkhZ zJOrexj{Wn<&Nqj_g^+q^oJti>#pmbMMi+c3(0^*ept~`tLPL&tURq)nM+B#yTos=^_@b=+e5*RWq}~dpZ6MH}t7f5kA4~q_ zhSb*xX$@kI2dJxO9|M|A7anj5cxP)ZoUV#~R-95Fjc)a|UwWPJYfjpt;_%Y1Ay|Jw&j+pk z>1%EI{E+QJz3$Xru-=$J;9<-INE8Cx8%buMSlce8VMYy&#G3Juxa*5uZv6%1-f5>=$#hDKP|4| z>sNqk(wI8oE*Sq5CvdLa#M*iW)e0{c zK{X27!6+uG*JDk)5|AKu%@V&9{YZ?HFGK6 zuzgwHNE^HIlwf4JK3ASa`o8am4;6hh6X)U^pJLIP^Sd(?9}? z@Sd31FIG4|2{1L}V{$+Ignc9^uCO>5)unFMG{mEgNBl#Tlm)%z5*rP8Qiv+-A$?5c zhCJmzSc-HfS!_Q78jo!YLE#~wEWe4>s*EjxWfVgzSky;= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vexs[v]; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v) { + int kv, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´ÓÍ·¿ªÊ¼²éÕÒ + for(j = 0; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w) { + int kv, kw, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´Ó¶¥µãwºó¿ªÊ¼²éÕÒ + for(j = kw + 1; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.28/MGraph.h b/Dev-C++/ExerciseBook/07.28/MGraph.h new file mode 100644 index 0000000..143f540 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.28/MGraph.h @@ -0,0 +1,133 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(MGraph G, int v); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.28/TestData_DG.txt b/Dev-C++/ExerciseBook/07.28/TestData_DG.txt new file mode 100644 index 0000000..a19ece0 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.28/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú8 +»¡Êý¡ú11 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾a£¬b£¬c£¬d£¬e£¬f£¬u£¬v¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾u£¬c¡¿¡¾c£¬d¡¿¡¾d£¬e¡¿¡¾e£¬u¡¿¡¾d£¬v¡¿¡¾e£¬f¡¿¡¾f£¬v¡¿¡¾v£¬b¡¿¡¾b£¬f¡¿¡¾u£¬a¡¿¡¾a£¬b¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.29/07.29.cpp b/Dev-C++/ExerciseBook/07.29/07.29.cpp new file mode 100644 index 0000000..03bdcb4 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.29/07.29.cpp @@ -0,0 +1,110 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "MGraph.h" //**¡ø07 ͼ**// + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * Êä³öÓÐÏòͼGÖ㤶ÈΪkµÄ¼òµ¥Â·¾¶ + */ +void Algo_7_29(MGraph G, int k); + +/* + * ²éÕÒÓÐÏòͼGÖ㤶ÈΪkµÄ¼òµ¥Â·¾¶ + */ +void SimplePath_7_29(MGraph G, int start, int k, int path[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒ¶¨³¤µÄ¼òµ¥Â·¾¶...\n"); + { + int k = 4; + + Algo_7_29(G, k); + printf("\n"); + } + + return 0; +} + + +/* + * Êä³öÓÐÏòͼGÖ㤶ÈΪkµÄ¼òµ¥Â·¾¶ + */ +void Algo_7_29(MGraph G, int k) { + int i; + int path[MAX_VERTEX_NUM + 1]; // 0ºÅµ¥ÔªÓÃÀ´¼Ç¼pathÖд洢µÄ¶¥µãÊýÁ¿ + + if(k <= 0) { + printf("²ÎÊý´íÎó£¡\n"); + return; + } + + // °ÑËùÓж¥µã±ê¼ÇΪδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + printf("²éÕÒËùÓ㤶ÈΪ %d µÄ¼òµ¥Â·¾¶...\n", k); + + for(i = 0; i < G.vexnum; i++) { + SimplePath_7_29(G, i, k, path); + } + +} + +/* + * ²éÕÒÓÐÏòͼGÖ㤶ÈΪkµÄ¼òµ¥Â·¾¶ + */ +void SimplePath_7_29(MGraph G, int start, int k, int path[MAX_VERTEX_NUM]) { + int i, w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // ±ê¼Ç¸Ã¶¥µãÒÑ·ÃÎÊ + + // Èç¹ûÓöµ½³¤¶ÈΪkµÄ·¾¶(¶¥µãÊý = ·¾¶³¤¶È+1)£¬ÔòÊä³öËü + if(path[0] == k + 1) { + // Êä³öÕÒµ½µÄ¼òµ¥Â·¾¶ + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + printf("\n"); + } else { + // Éî¶ÈÓÅÏȱéÀú + for(w = FirstAdjVex(G, G.vexs[start]); + w >= 0; + w = NextAdjVex(G, G.vexs[start], G.vexs[w])) { + // ºöÂÔÒÑ·ÃÎʹýµÄ¶¥µã + if(visited[w] == TRUE) { + continue; + } + + SimplePath_7_29(G, w, k, path); + } + } + + // ´Ó·¾¶ÖÐÒƳý¸Ã¶¥µã£¬²¢½«Æä״̬½µ¼¶Îª"ÒÑ·ÃÎÊ" + path[0]--; + visited[start] = FALSE; // Çå³ý·ÃÎʱê¼Ç +} diff --git a/Dev-C++/ExerciseBook/07.29/07.29.dev b/Dev-C++/ExerciseBook/07.29/07.29.dev new file mode 100644 index 0000000..26cd5e3 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.29/07.29.dev @@ -0,0 +1,91 @@ +[Project] +FileName=07.29.dev +Name=07.29 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 +UnitCount=4 + +[VersionInfo] +Major=1 +Minor=0 +Release=0 +Build=0 +LanguageID=1033 +CharsetID=1252 +CompanyName= +FileVersion= +FileDescription=Developed using the Dev-C++ IDE 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return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vexs[v]; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v) { + int kv, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´ÓÍ·¿ªÊ¼²éÕÒ + for(j = 0; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w) { + int kv, kw, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´Ó¶¥µãwºó¿ªÊ¼²éÕÒ + for(j = kw + 1; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.29/MGraph.h b/Dev-C++/ExerciseBook/07.29/MGraph.h new file mode 100644 index 0000000..143f540 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.29/MGraph.h @@ -0,0 +1,133 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(MGraph G, int v); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.29/TestData_DG.txt b/Dev-C++/ExerciseBook/07.29/TestData_DG.txt new file mode 100644 index 0000000..a19ece0 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.29/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú8 +»¡Êý¡ú11 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾a£¬b£¬c£¬d£¬e£¬f£¬u£¬v¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾u£¬c¡¿¡¾c£¬d¡¿¡¾d£¬e¡¿¡¾e£¬u¡¿¡¾d£¬v¡¿¡¾e£¬f¡¿¡¾f£¬v¡¿¡¾v£¬b¡¿¡¾b£¬f¡¿¡¾u£¬a¡¿¡¾a£¬b¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.30/07.30.cpp b/Dev-C++/ExerciseBook/07.30/07.30.cpp new file mode 100644 index 0000000..3deb3ff --- /dev/null +++ b/Dev-C++/ExerciseBook/07.30/07.30.cpp @@ -0,0 +1,99 @@ +#include +#include "Status.h" +#include "MGraph.h" + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * ÕÒ³öÓÐÏòͼÖÐËùÓлØ· + */ +void Algo_7_30(MGraph G); + +/* + * ´òÓ¡ÓÐÏòͼÖÐËùÓлØ· + */ +void Circuit_7_30(MGraph G, int start, int end, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒͼÖеĻØ·...\n"); + { + Algo_7_30(G); + printf("\n"); + } + + return 0; +} + + +/* + * ÕÒ³öÓÐÏòͼÖÐËùÓлØ· + */ +void Algo_7_30(MGraph G) { + int i; + int path[MAX_VERTEX_NUM + 1]; // 0ºÅµ¥ÔªÓÃÀ´¼Ç¼pathÖд洢µÄ¶¥µãÊýÁ¿ + + // °ÑËùÓж¥µã±ê¼ÇΪδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + for(i = 0; i < G.vexnum; i++) { + Circuit_7_30(G, i, i, path); + } +} + +/* + * ´òÓ¡ÓÐÏòͼÖÐËùÓлØ· + */ +void Circuit_7_30(MGraph G, int start, int end, int path[MAX_VERTEX_NUM]) { + int i, w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // ±ê¼Ç¸Ã¶¥µãÒѽøÈë·¾¶ + + // ±éÀú¶¥µãstartµÄÁÚ½Óµã + for(w = FirstAdjVex(G, G.vexs[start]); w >= 0; w = NextAdjVex(G, G.vexs[start], G.vexs[w])) { + // Èç¹ûÓöµ½ÁËÒÑÔÚ·¾¶ÖеÄÁڽӵ㣬˵Ã÷³öÏÖÁ˻ط + if(visited[w] == TRUE) { + if(w == end) { + // Êä³ö»Ø· + for(i = 1; i <= path[0]; i++) { + printf("%c -> ", GetVex(G, path[i])); + } + printf("%c\n", GetVex(G, w)); + } + + } else { + // ɸµôÖظ´Â·¾¶ + if(w > end) { + Circuit_7_30(G, w, end, path); + } + } + } + + // ´Ó·¾¶ÖÐÒƳý¸Ã¶¥µã£¬²¢½«Æä״̬½µ¼¶Îª"ÒÑ·ÃÎÊ" + path[0]--; + visited[start] = FALSE; +} diff --git a/Dev-C++/ExerciseBook/07.30/07.30.dev b/Dev-C++/ExerciseBook/07.30/07.30.dev new file mode 100644 index 0000000..017e6da --- /dev/null +++ b/Dev-C++/ExerciseBook/07.30/07.30.dev @@ -0,0 +1,91 @@ +[Project] +FileName=07.30.dev +Name=07.30 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 +UnitCount=4 + +[VersionInfo] +Major=1 +Minor=0 +Release=0 +Build=0 +LanguageID=1033 +CharsetID=1252 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+#include "MGraph.h" //**¡ø07 ͼ**// + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨Í¼/±í + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÓÐÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info) { + //¼Èë±ß/»¡µÄÐÅÏ¢£¬±¾²âÊÔÉæ¼°µ½µÄ±ß/»¡Ä¬ÈÏÎÞÆäËû¸½¼ÓÐÅÏ¢ +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(MGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vexs[v]; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v) { + int kv, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´ÓÍ·¿ªÊ¼²éÕÒ + for(j = 0; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w) { + int kv, kw, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´Ó¶¥µãwºó¿ªÊ¼²éÕÒ + for(j = kw + 1; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.30/MGraph.h b/Dev-C++/ExerciseBook/07.30/MGraph.h new file mode 100644 index 0000000..143f540 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.30/MGraph.h @@ -0,0 +1,133 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(MGraph G, int v); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.30/TestData_DG.txt b/Dev-C++/ExerciseBook/07.30/TestData_DG.txt new file mode 100644 index 0000000..1a2f808 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.30/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú16 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ 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Tarjan(G); + +// printf("KosarajuËã·¨£º\n"); +// Kosaraju(G); +} diff --git a/Dev-C++/ExerciseBook/07.31/07.31.dev b/Dev-C++/ExerciseBook/07.31/07.31.dev new file mode 100644 index 0000000..fcbecf8 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.31/07.31.dev @@ -0,0 +1,111 @@ +[Project] +FileName=07.31.dev +Name=07.31 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 +UnitCount=6 + +[VersionInfo] +Major=1 +Minor=0 +Release=0 +Build=0 +LanguageID=1033 +CharsetID=1252 +CompanyName= +FileVersion= +FileDescription=Developed using the Dev-C++ IDE +InternalName= +LegalCopyright= +LegalTrademarks= +OriginalFilename= +ProductName= 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b/Dev-C++/ExerciseBook/07.31/OLGraph.cpp @@ -0,0 +1,509 @@ +/*==================== + * ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.3 + ====================*/ + +#include "OLGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸ÃͼµÄ±ßÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(OLGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÓÐÏòͼ + * + * ×¢£º + * ½Ì²ÄÖÐʹÓÃÁËÍ·²å·¨À´²åÈ뻡£¬ÕâÖÖ×ö·¨µÄΨһÓŵãÊDzåÈë·½±ã£¬ + * µ«ÊÇÔÚÉæ¼°µ½É¾³ý»ò²éÕÒʱ£¬Ð§Âʽϵͣ» + * ¶øÇÒ£¬"Í·²å·¨"ÒÀÀµÊäÈëµÄ˳Ðò£¬Èç¹ûÊäÈëµÄ±ß/»¡ÊÇÂÒÐòµÄ£¬ + * Ôò×îÖÕ¹¹Ôì³öµÄͼ/ÍøÖеıß/»¡Ò²ÊÇÎÞÐòµÄ¡£ + * + * ΪÁË¿Ë·þÒÔÉÏȱµã£¬ÕâÀï¸ÄÓÃ"ÉýÐò"²åÈë·¨£¬±£Ö¤²åÈëµÄ»¡ÊÇ"ÉýÐò"µÄ¡£ + * µ«Í¬Ê±£¬ÕâÑù×ö»áʹ"²åÈë"Ëã·¨±äµÃ½ÏΪ¸´ÔÓ¡£ + */ +static Status CreateDG(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼È뻡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(OLGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(OLGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.xlist[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(OLGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.xlist[v].data; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(OLGraph G, VertexType v) { + int k; + ArcBox* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(G, v); + if(k == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.xlist[k].firstout; + if(r == NULL) { + return -1; + } else { + return r->headvex; + } +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(OLGraph G, VertexType v, VertexType w) { + int kv, kw; + ArcBox* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.xlist[kv].firstout; + if(r == NULL) { + return -1; // Á´±íΪ¿Õ + } + + // ÔÚÁ´±íÖвéÕÒw + while(r != NULL && r->headvex < kw) { + r = r->tlink; + } + + // Èç¹ûûÕÒµ½w + if(r == NULL) { + return -1; + } + + // Èç¹ûÕÒµ½ÁËw£¬µ«ÊÇwºóÃæûÓбðµÄ¶¥µã£¬ÄÇôҲÎÞ·¨·µ»ØÁÚ½Óµã + if(r->headvex == kw && r->tlink != NULL) { + return r->tlink->headvex; + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info) { + ArcBox* p = (ArcBox*) malloc(sizeof(ArcBox)); + if(!p) { + exit(OVERFLOW); + } + + p->tailvex = tailvex; + p->headvex = headvex; + + p->hlink = hlink; + p->tlink = tlink; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcBox* p; + ArcBox* pre; + ArcBox* r; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + + // ÔÚºáÏòÁ´±íÉϲéÕÒºÏÊʵIJåÈëλÖà + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->xlist[tail].firstout; + while(r != NULL && r->headvex < head) { + pre = r; + r = r->tlink; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->headvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + p = newArcBoxPtr(tail, head, NULL, r, info); + + if(pre == NULL) { + G->xlist[tail].firstout = p; + } else { + pre->tlink = p; + } + } + + // Èç¹ûûÓз¢Éú¸²¸Ç£¬ËµÃ÷²åÈëÁËнáµã£¬´ËʱÐèÒª¿¼ÂÇÆäÔÚ×ÝÏòÁ´±íÉϵÄλÖà + if(overlay == FALSE) { + // ÔÚ×ÝÏòÁ´±íÉϲéÕÒºÏÊʵIJåÈëλÖà + pre = NULL; + // Ö¸ÏòÒÔheadΪͷµÄÊ×Ìõ±ß/»¡ + r = G->xlist[head].firstin; + while(r != NULL && r->tailvex < tail) { + pre = r; + r = r->hlink; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->tailvex == tail) { + // ²»»áÖ´Ðе½ÕâÀÒòΪÈç¹û·¢ÉúÁ˸²¸Ç£¬Ç°Ãæ½ø²»À´ + } else { + /* ÖÁ´Ë£¬½áµãpÒѾ­´æÔÚÁË */ + + if(pre == NULL) { + p->hlink = G->xlist[head].firstin; + G->xlist[head].firstin = p; + } else { + p->hlink = pre->hlink; + pre->hlink = p; + } + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * Éî¶ÈÓÅÏȱéÀú(´Ë´¦½èÖúµÝ¹éʵÏÖ) + */ +void DFSTraverse(OLGraph G, Status(Visit)(VertexType)) { + int v; + + // ʹÓÃÈ«¾Ö±äÁ¿VisitFunc£¬Ê¹µÃDFS²»±ØÉèÖú¯ÊýÖ¸Õë²ÎÊý + VisitFunc = Visit; + + // ·ÃÎʱêÖ¾Êý×é³õʼ»¯ + for(v = 0; v < G.vexnum; v++) { + visited[v] = FALSE; + } + + // ´Ë´¦ÐèÒª±éÀúµÄÔ­ÒòÊDz¢²»Äܱ£Ö¤ËùÓж¥µã¶¼Á¬½ÓÔÚÁËÒ»Æð + for(v = 0; v < G.vexnum; v++) { + if(!visited[v]) { + DFS(G, v); // ¶ÔÉÐδ·ÃÎʵĶ¥µãµ÷ÓÃDFS + } + } +} + +/* + * Éî¶ÈÓÅÏȱéÀúºËÐĺ¯Êý + */ +static void DFS(OLGraph G, int v) { + int w; + + // ´ÓµÚv¸ö¶¥µã³ö·¢µÝ¹éµØÉî¶ÈÓÅÏȱéÀúͼG + visited[v] = TRUE; + + // ·ÃÎʵÚv¸ö¶¥µã + VisitFunc(G.xlist[v].data); + + for(w = FirstAdjVex(G, G.xlist[v].data); + w >= 0; + w = NextAdjVex(G, G.xlist[v].data, G.xlist[w].data)) { + if(!visited[w]) { + DFS(G, w); // ¶ÔÉÐδ·ÃÎʵĶ¥µãµ÷ÓÃDFS + } + } +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(OLGraph G) { + int i, head; + ArcBox* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.xlist[i].data); + + head = 0; + p = G.xlist[i].firstout; + + while(p != NULL) { + if(head < p->headvex) { + if(IncInfo == 0) { + printf(" "); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf(" "); + } + } else { + if(IncInfo == 0) { + printf("<%c, %c>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("<%c, %c, %2d>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data, p->info->weight); + } + + p = p->tlink; + } + + head++; + + if(p != NULL) { + printf(" "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.31/OLGraph.h b/Dev-C++/ExerciseBook/07.31/OLGraph.h new file mode 100644 index 0000000..7008739 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.31/OLGraph.h @@ -0,0 +1,175 @@ +/*==================== + * ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.3 + ====================*/ + +#ifndef OLGRAPH_H +#define OLGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢ÓÐÏòͼ¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcBox { + int tailvex; // »¡Í·¶¥µãλÖà + int headvex; // »¡Î²¶¥µãλÖà + struct ArcBox* hlink; // Ö¸ÏòÏÂÒ»¸öÓµÓÐÏàͬ»¡Í·µÄ»¡ + struct ArcBox* tlink; // Ö¸ÏòÏÂÒ»¸öÓµÓÐÏàͬ»¡Î²µÄ»¡ + InfoType* info; // ¸Ã»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +} ArcBox; + +// ÿ¸öºáÏòÁ´±íµÄÍ·½áµã +typedef struct VexNode { + VertexType data; // ¶¥µã + ArcBox* firstin; // Ö¸Ïò¸Ã¶¥µãµÄµÚÒ»ÌõÈ뻡 + ArcBox* firstout; // Ö¸Ïò¸Ã¶¥µãµÄµÚÒ»Ìõ³ö»¡ +} VexNode; + +/* ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VexNode xlist[MAX_VERTEX_NUM]; // ±íÍ·ÏòÁ¿ + int vexnum, arcnum; // ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} OLGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(OLGraph* G, char* path[]); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÓÐÏòͼ + * + * ×¢£º + * ½Ì²ÄÖÐʹÓÃÁËÍ·²å·¨À´²åÈ뻡£¬ÕâÖÖ×ö·¨µÄΨһÓŵãÊDzåÈë·½±ã£¬ + * µ«ÊÇÔÚÉæ¼°µ½É¾³ý»ò²éÕÒʱ£¬Ð§Âʽϵͣ» + * ¶øÇÒ£¬"Í·²å·¨"ÒÀÀµÊäÈëµÄ˳Ðò£¬Èç¹ûÊäÈëµÄ±ß/»¡ÊÇÂÒÐòµÄ£¬ + * Ôò×îÖÕ¹¹Ôì³öµÄͼ/ÍøÖеıß/»¡Ò²ÊÇÎÞÐòµÄ¡£ + * + * ΪÁË¿Ë·þÒÔÉÏȱµã£¬ÕâÀï¸ÄÓÃ"ÉýÐò"²åÈë·¨£¬±£Ö¤²åÈëµÄ»¡ÊÇ"ÉýÐò"µÄ¡£ + * µ«Í¬Ê±£¬ÕâÑù×ö»áʹ"²åÈë"Ëã·¨±äµÃ½ÏΪ¸´ÔÓ¡£ + */ +static Status CreateDG(OLGraph* G); + +/* + * ¼È뻡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(OLGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(OLGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(OLGraph G, int v); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(OLGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(OLGraph G, VertexType v, VertexType w); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...); + +/* + * Éî¶ÈÓÅÏȱéÀú(´Ë´¦½èÖúµÝ¹éʵÏÖ) + */ +void DFSTraverse(OLGraph G, Status(Visit)(VertexType)); + +/* + * Éî¶ÈÓÅÏȱéÀúºËÐĺ¯Êý + */ +static void DFS(OLGraph G, int v); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(OLGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.31/StronglyConnectedComponents.cpp b/Dev-C++/ExerciseBook/07.31/StronglyConnectedComponents.cpp new file mode 100644 index 0000000..539f69d --- /dev/null +++ b/Dev-C++/ExerciseBook/07.31/StronglyConnectedComponents.cpp @@ -0,0 +1,262 @@ +/*================== + * ÓÐÏòͼµÄÇ¿Á¬Í¨·ÖÁ¿ + ===================*/ + +#include "StronglyConnectedComponents.h" + + +/* È«¾Ö±äÁ¿ */ +static int count; // ¶Ô·ÃÎʹýµÄ½áµã¼ÆÊý + +// KosarajuËã·¨ +static Boolean visited[MAX_VERTEX_NUM]; // ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static int finished[MAX_VERTEX_NUM]; // ´æ´¢Éî¶ÈÓÅÏȱéÀúÖзÃÎʵ½µÄÔªËØ + +// TarjanËã·¨ +static int dfs[MAX_VERTEX_NUM]; // Éî¶ÈÓÅÏȱéÀúʱÒÀ´Î·ÃÎʵ½µÄÔªËØ(µÄÐòºÅ) +static int low[MAX_VERTEX_NUM]; // low[v] ==> ÔªËØv¿ÉÒÔ»ØËݵ½µÄ×îÔç×æÏÈ +static int stack[MAX_VERTEX_NUM]; // ´æ´¢±éÀú¹ý³ÌÖÐÓöµ½µÄ½áµã + + +/* + * (1) TarjanËã·¨ÇóÈ¡Ç¿Á¬Í¨·ÖÁ¿ + * + * ºËÐÄ˼ÏëÊÇÉî¶ÈÓÅÏȱéÀú+»ØËÝ£¬Óë±¾ÕµÚ8½ÚÇó¹Ø½ÚµãµÄËã·¨ÓÐÀàËÆÖ®´¦ + */ +void Tarjan(OLGraph G) { + int i; + + count = -1; // ³õʼ»¯¼ÆÊý + + // ³õʼ»¯¶¥µãΪÉÐδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + dfs[i] = -1; + low[i] = -1; + } + + printf("´òÓ¡µ±Ç°ÓÐÏòͼÖеĸ÷×éÇ¿Á¬Í¨·ÖÁ¿£º\n"); + + for(i = 0; i < G.vexnum; i++) { + if(dfs[i] == -1) { + DFS_Tarjan(G, i); + } + } +} + +/* + * Éî¶ÈÓÅÏȱéÀú¶¥µãv¿É´ïµÄËùÓÐÔªËØ£¬²¢³¢ÊÔÕÒ³öÆäÖеÄÇ¿Á¬Í¨·ÖÁ¿ + */ +static void DFS_Tarjan(OLGraph G, int v) { + int min; + int w; + int i; + + ++count; + + // ¼Ç¼·ÃÎÊ´ÎÐò + dfs[v] = min = count; + + // ¼Ç¼Óöµ½µÄ½áµã + stack[count] = v; + + // Éî¶È±éÀúvÆðʼµÄͼ + for(w = FirstAdjVex(G, G.xlist[v].data); w >= 0; w = NextAdjVex(G, G.xlist[v].data, G.xlist[w].data)) { + // Èç¹ûw½áµãδ·ÃÎÊ + if(dfs[w] == -1) { + DFS_Tarjan(G, w); // ¶ÔÉÐδ·ÃÎʵĶ¥µãµ÷ÓÃDFS + + if(low[w] < min) { + min = low[w]; + } + + // Óöµ½ÒÑ·ÃÎʹýµÄ½áµã + } else { + // Èç¹ûwÒѱ»·ÃÎʹý£¬ÇÒwÊÇvÔÚÉú³ÉÊ÷ÉϵÄ×æÏÈ + if(dfs[w] < min) { + min = dfs[w]; + } + } + } + + // Èç¹û"×æÏÈ"½áµã»¹Ã»ÓÐÈ·¶¨»ØËÝ×æÏÈ£¬ÔòÖ»¼Ç¼"×æÏÈ"½áµãÉϵķÃÎÊ´ÎÐò + if(low[stack[min]]==-1) { + low[v] = min; + } else { + // »ñÈ¡"×æÏÈ"½áµãÉϵĿɻØËÝ×æÏÈ + low[v] = low[stack[min]]; + } + + // »ñÈ¡µ±Ç°ÒÑËÑË÷µ½µÄÇ¿Á¬Í¨×Ó¼¯ + if(low[v] == dfs[v]) { + for(i = count; i >= 0; i--) { + if(low[stack[i]] == dfs[v]) { + printf("%c ", GetVex(G, stack[i])); + count--; + } else { + break; + } + } + printf("\n"); + } +} + + +/* + * (2) KosarajuËã·¨ÇóÈ¡Ç¿Á¬Í¨·ÖÁ¿£¬ÕâÊǽ̲ÄÖÐÌáµ½µÄËã·¨ + * + * ºËÐÄ˼ÏëÊÇ£º + * 1.´Óij¶¥µã³ö·¢£¬Éî¶È±éÀúÓÐÏòͼ£¬µÃµ½Ò»¸ö·ÃÎÊÐòÁУ» + * 2.ÄæÖÃÓÐÏòͼ£» + * 3.±éÀúÉÏÃæµÃ³öµÄ·ÃÎÊÐòÁУ¬¶ÔÆäÖеÄÿ¸ö¶¥µã½øÐÐÉî¶ÈÓÅÏȱéÀú¡£ + */ +void Kosaraju(OLGraph G) { + int i, v; + + count = 0; // ³õʼ»¯¼ÆÊý + + // 1.´Óij¶¥µã³ö·¢£¬Éî¶È±éÀúÓÐÏòͼ£¬µÃµ½Ò»¸ö·ÃÎÊÐòÁÐ + DFSTraverse(G, StoreElem); + + // 2.ÄæÖÃÓÐÏòͼ + InverseGraph(&G); + + // ·ÃÎʱêÖ¾Êý×é³õʼ»¯ + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + printf("´òÓ¡µ±Ç°ÓÐÏòͼÖеĸ÷×éÇ¿Á¬Í¨·ÖÁ¿£º\n"); + + // 3.±éÀúÉÏÃæµÃ³öµÄ·ÃÎÊÐòÁУ¬¶ÔÆäÖеÄÿ¸ö¶¥µã½øÐÐÉî¶ÈÓÅÏȱéÀú + for(i = 0; i < count; i++) { + v = LocateVex(G, finished[i]); + + if(visited[v] == TRUE) { + continue; + } + + DFS_Inverse(G, v); + printf("\n"); + } +} + +/* + * ÄæÖÃÓÐÏòͼ£¨Ê®×ÖÁ´±í´æ´¢½á¹¹£©£¬¼´½«ËùÓл¡µÄ·½ÏòÄæÖà + * + * ºËÐÄ˼ÏëÊÇ£º + * 1.´´½¨Ò»¸ö²»°üº¬Èκλ¡µÄ¿Õͼ£» + * 2.ÒÀ´Î±éÀúÿ¸ö¶¥µãµÄÿÌõÈ뻡£» + * 3.ÕªÏÂÓöµ½µÄÈ뻡£¬½«Æä²åÈëµ½¿ÕͼÖбä³É³ö»¡¡£ + */ +static void InverseGraph(OLGraph* G) { + OLGraph newG = *G; + int i; + ArcBox* r; + ArcBox* pre, * p; + int tmp; + + for(i = 0; i < newG.vexnum; i++) { + newG.xlist[i].firstin = NULL; + newG.xlist[i].firstout = NULL; + } + + for(i = 0; i < (*G).vexnum; i++) { + while((*G).xlist[i].firstin != NULL) { + // ÕªÏÂÓöµ½µÄÖ¸Ïò¶¥µãiµÄÈ뻡 + r = (*G).xlist[i].firstin; + (*G).xlist[i].firstin = r->hlink; + + // ÄæÖû¡µÄ·½Ïò + tmp = r->headvex; + r->headvex = r->tailvex; + r->tailvex = tmp; + + r->hlink = NULL; + r->tlink = NULL; + + // ²åÈëµ½ÐÂͼµÄ×ÝÏòÉÏ + pre = newG.xlist[r->headvex].firstin; + if(pre == NULL) { + newG.xlist[r->headvex].firstin = r; + } else { + if(r->tailvex < pre->tailvex) { + r->hlink = newG.xlist[r->headvex].firstin; + newG.xlist[r->headvex].firstin = r; + } else if(r->tailvex > pre->tailvex) { + p = pre->hlink; + + while(p != NULL && r->tailvex > p->tailvex) { + pre = p; + p = p->hlink; + } + + if(p == NULL || r->tailvex < p->tailvex) { + r->hlink = p; + pre->hlink = r; + } + } else { + // µÈÓÚʱ²»´¦Àí + } + } + + // ²åÈëµ½ÐÂͼµÄºáÏòÉÏ + pre = newG.xlist[r->tailvex].firstout; + if(pre == NULL) { + newG.xlist[r->tailvex].firstout = r; + } else { + if(r->headvex < pre->headvex) { + r->tlink = newG.xlist[r->tailvex].firstout; + newG.xlist[r->tailvex].firstout = r; + } else if(r->headvex > pre->headvex) { + p = pre->tlink; + + while(p != NULL && r->headvex > p->headvex) { + pre = p; + p = p->tlink; + } + + if(p == NULL || r->headvex < p->headvex) { + r->tlink = p; + pre->tlink = r; + } + } else { + // µÈÓÚʱ²»´¦Àí + } + } + } + } + + *G = newG; +} + +/* + * ´æ´¢Éî¶ÈÓÅÏȱéÀúÖзÃÎʵ½µÄÔªËØ + */ +static Status StoreElem(VertexType c) { + finished[count++] = c; + return OK; +} + +/* + * Éî¶È±éÀúÒѾ­ÄæÖúóµÄͼ + */ +static void DFS_Inverse(OLGraph G, int v) { + int w; + + // Èç¹ûÒÑ·ÃÎʹý£¬Ö±½Ó·µ»Ø + if(visited[v] == TRUE) { + return; + } + + // ´ÓµÚv¸ö¶¥µã³ö·¢µÝ¹éµØÉî¶ÈÓÅÏȱéÀúͼG + visited[v] = TRUE; + + // ´òÓ¡·ÃÎʵ½µÄ¶¥µã + printf("%c ", GetVex(G, v)); + + for(w = FirstAdjVex(G, G.xlist[v].data); + w >= 0; + w = NextAdjVex(G, G.xlist[v].data, G.xlist[w].data)) { + DFS_Inverse(G, w); // ¶ÔÉÐδ·ÃÎʵĶ¥µãµ÷ÓÃDFS + } +} diff --git a/Dev-C++/ExerciseBook/07.31/StronglyConnectedComponents.h b/Dev-C++/ExerciseBook/07.31/StronglyConnectedComponents.h new file mode 100644 index 0000000..1dec1aa --- /dev/null +++ b/Dev-C++/ExerciseBook/07.31/StronglyConnectedComponents.h @@ -0,0 +1,56 @@ +/*================== + * ÓÐÏòͼµÄÇ¿Á¬Í¨·ÖÁ¿ + ===================*/ + +#ifndef STRONGLYCONNECTEDCOMPONENTS_H +#define STRONGLYCONNECTEDCOMPONENTS_H + +#include +#include "OLGraph.h" //**¡ø07 ͼ**// + +/* + * (1) TarjanËã·¨ + * + * ÇóÈ¡ÓÐÏòͼµÄÇ¿Á¬Í¨·ÖÁ¿ + */ +void Tarjan(OLGraph G); + +/* + * Éî¶ÈÓÅÏȱéÀú¶¥µãv¿É´ïµÄËùÓÐÔªËØ£¬²¢³¢ÊÔÕÒ³öÆäÖеÄÇ¿Á¬Í¨·ÖÁ¿ + */ +static void DFS_Tarjan(OLGraph G, int v); + + +/* + * (2) KosarajuËã·¨ + * + * ÇóÈ¡ÓÐÏòͼµÄÇ¿Á¬Í¨·ÖÁ¿£¬ÕâÊǽ̲ÄÖÐÌáµ½µÄËã·¨ + * + * ºËÐÄ˼ÏëÊÇ£º + * 1.´Óij¶¥µã³ö·¢£¬Éî¶È±éÀúÓÐÏòͼ£¬µÃµ½Ò»¸ö·ÃÎÊÐòÁУ» + * 2.ÄæÖÃÓÐÏòͼ£» + * 3.±éÀúÉÏÃæµÃ³öµÄ·ÃÎÊÐòÁУ¬¶ÔÆäÖеÄÿ¸ö¶¥µã½øÐÐÉî¶ÈÓÅÏȱéÀú¡£ + */ +void Kosaraju(OLGraph G); + +/* + * ÄæÖÃÓÐÏòͼ£¨Ê®×ÖÁ´±í´æ´¢½á¹¹£©£¬¼´½«ËùÓл¡µÄ·½ÏòÄæÖà + * + * ºËÐÄ˼ÏëÊÇ£º + * 1.´´½¨Ò»¸ö²»°üº¬Èκλ¡µÄ¿Õͼ£» + * 2.ÒÀ´Î±éÀúÿ¸ö¶¥µãµÄÿÌõÈ뻡£» + * 3.ÕªÏÂÓöµ½µÄÈ뻡£¬½«Æä²åÈëµ½¿ÕͼÖбä³É³ö»¡¡£ + */ +static void InverseGraph(OLGraph *G); + +/* + * ´æ´¢Éî¶ÈÓÅÏȱéÀúÖзÃÎʵ½µÄÔªËØ + */ +static Status StoreElem(VertexType c); + +/* + * Éî¶È±éÀúÒѾ­ÄæÖúóµÄͼ£¬½öÏÞÄÚ²¿Ê¹Óà + */ +static void DFS_Inverse(OLGraph G, int v); + +#endif diff --git a/Dev-C++/ExerciseBook/07.31/TestData_DG.txt b/Dev-C++/ExerciseBook/07.31/TestData_DG.txt new file mode 100644 index 0000000..417c8b5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.31/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú23 +»¡Êý¡ú32 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 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PressEnterToContinue(debug); + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ʹÓÃÆÕÀïÄ·Ëã·¨»ñÈ¡×îСÉú³ÉÉ­ÁÖ... \n"); + { + Algo_7_32(G); + } + PressEnterToContinue(debug); + +} + + +/* + * ÇóÎÞÏòÍøµÄ×îСÉú³ÉÉ­ÁÖ + */ +void Algo_7_32(ALGraph G) { + CSTree T = MinSpanTree_PRIM(G); + + // Êä³öÇóÈ¡µÄ×îСÉú³ÉÉ­ÁÖ£¬´Ë²½Öè¿ÉÑ¡ + PrintTree(T); +} diff --git a/Dev-C++/ExerciseBook/07.32/07.32.dev b/Dev-C++/ExerciseBook/07.32/07.32.dev new file mode 100644 index 0000000..aa1e57e --- /dev/null +++ b/Dev-C++/ExerciseBook/07.32/07.32.dev @@ -0,0 +1,151 @@ +[Project] +FileName=07.32.dev +Name=07.32 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 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0000000..365e9b2 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.32/ALGraph.cpp @@ -0,0 +1,326 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÎÞÏòͼ + kind = 3; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.32/ALGraph.h b/Dev-C++/ExerciseBook/07.32/ALGraph.h new file mode 100644 index 0000000..dfce53d --- /dev/null +++ b/Dev-C++/ExerciseBook/07.32/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.32/CSTree.cpp b/Dev-C++/ExerciseBook/07.32/CSTree.cpp new file mode 100644 index 0000000..3a1f268 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.32/CSTree.cpp @@ -0,0 +1,76 @@ +/*=================================== + * Ê÷µÄ¶þ²æÁ´±í£¨º¢×Ó-Ðֵܣ©½á¹¹´æ´¢±íʾ + ====================================*/ + +#include "CSTree.h" + +int count = 0; + +/* + * ³õʼ»¯ + * + * ¹¹Ôì¿ÕÊ÷¡£ + */ +Status InitTree(CSTree* T) { + if(T == NULL) { + return ERROR; + } + + *T = NULL; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏÊ÷ÊÇ·ñΪ¿ÕÊ÷¡£ + */ +Status TreeEmpty(CSTree T) { + return T == NULL ? TRUE : FALSE; +} + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ +void PrintTree(CSTree T) { + + // Óöµ½¿ÕÊ÷ÔòÎÞÐè¼ÌÐø¼ÆËã + if(TreeEmpty(T)) { + printf("\n"); + return; + } + + Print(T, 0); + + printf("\n"); +} + +// ͼÐλ¯Êä³öµ±Ç°½á¹¹ÄÚ²¿ÊµÏÖ +static void Print(CSTree T, int row) { + int k; + + if(T == NULL) { + return; + } + + if(row==0) { + printf("\nµÚ %d ¿ÃÊ÷...\n", ++count); + } + + // ·ÃÎʵ±Ç°½áµã + printf("%c ", T->data); + + Print(T->firstchild, row + 1); + + if(T->nextsibling != NULL) { + printf("\n"); + + for(k = 0; k < row; k++) { + printf(". "); + } + + Print(T->nextsibling, row); + } +} diff --git a/Dev-C++/ExerciseBook/07.32/CSTree.h b/Dev-C++/ExerciseBook/07.32/CSTree.h new file mode 100644 index 0000000..b864682 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.32/CSTree.h @@ -0,0 +1,54 @@ +/*=================================== + * Ê÷µÄ¶þ²æÁ´±í£¨º¢×Ó-Ðֵܣ©½á¹¹´æ´¢±íʾ + ====================================*/ + +#ifndef CSTREE_H +#define CSTREE_H + +#include +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" + +/* µ¥¸ö½áµã×î´óµÄº¢×ÓÊýÁ¿ */ +#define MAX_CHILD_COUNT 8 + +/* Ê÷µÄÔªËØÀàÐͶ¨Ò壬ÕâÀï¼ÙÉèÆäÔªËØÀàÐÍΪchar */ +typedef char TElemType; + +/* (º¢×Ó-ÐÖµÜ)Ê÷µÄ½áµã¶¨Òå */ +typedef struct CSNode { + TElemType data; + struct CSNode* firstchild; // Ö¸Ïò³¤×Ó + struct CSNode* nextsibling; // Ö¸ÏòÓÒÐÖµÜ +} CSNode; + +/* (º¢×Ó-ÐÖµÜ)Ê÷ÀàÐͶ¨Òå */ +typedef CSNode* CSTree; + + +/* + * ³õʼ»¯ + * + * ¹¹Ôì¿ÕÊ÷¡£ + */ +Status InitTree(CSTree* T); + +/* + * ÅÐ¿Õ + * + * ÅжÏÊ÷ÊÇ·ñΪ¿ÕÊ÷¡£ + */ +Status TreeEmpty(CSTree T); + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ +void PrintTree(CSTree T); + +// ͼÐλ¯Êä³öµ±Ç°½á¹¹ÄÚ²¿ÊµÏÖ +static void Print(CSTree T, int row); + +#endif diff --git a/Dev-C++/ExerciseBook/07.32/MFSet.cpp b/Dev-C++/ExerciseBook/07.32/MFSet.cpp new file mode 100644 index 0000000..8b9d29d --- /dev/null +++ b/Dev-C++/ExerciseBook/07.32/MFSet.cpp @@ -0,0 +1,93 @@ +/*===== + * ¼¯ºÏ + ======*/ + +#include "MFSet.h" + +/* + * ³õʼ»¯Ò»¸öÓɶà¸ö×Ó¼¯£¨Ã¿¸ö×Ó¼¯Ö»°üº¬µ¥¸ö³ÉÔ±£©¹¹³ÉµÄ¼¯ºÏS¡£ + * + * + *¡¾±¸×¢¡¿ + * + * ÕâÀï¶ÔµÚ6ÕµÄMFSet×öÁ˸Ķ¯£º + * 1.Ö±½ÓÔÚ²ÎÊýÖд«Èë×Ó¼¯ÊýÁ¿ + * 2.×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý£¬Õâ»áÓ°Ïìµ½ºóÃæµÄº¯ÊýÖйØÓÚϱêµÄÅÐ¶Ï + */ +Status initial_mfset(MFSet* S, int n) { + int i; + + if(n <= 0) { + return ERROR; + } + + S->n = n; + S->r = 0; // µÚÒ»¸ö×Ó¼¯µÄλÖÃÔÚ0ºÅµ¥Ôª + + // ×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý + for(i = 0; i < n; i++) { + S->nodes[i].parent = -1; + } + + return OK; +} + +/* + * ÇóÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯SiºÍ×Ó¼¯SjµÄ²¢¼¯¡£ + */ +Status merge_mfset(MFSet* S, int i, int j) { + + // Ë÷ÒýÔ½½ç + if(i < 0 || i > S->n - 1 || j < 0 || j > S->n - 1) { + return ERROR; + } + + // ÏàͬµÄ×Ó¼¯ÎÞÐèºÏ²¢£¬Ö±½Ó·µ»Ø + if(i == j) { + return OK; + } + + S->nodes[i].parent = j; + + return OK; +} + +/* + * ÔÚ¼¯ºÏSÖвéÕÒÔªËØiµ±Ç°ËùÊôµÄ×Ó¼¯¡£ + */ +int find_mfset(MFSet S, int i) { + int j; + + // Ë÷ÒýÔ½½ç + if(i < 0 || i > S.n - 1) { + return -1; + } + + // ²éÕÒiËùÊôµÄ×Ó¼¯µÄ¸ù½áµã + for(j = i; S.nodes[j].parent >= 0; j = S.nodes[j].parent) { + // ´ÓÏÂÍùÉϲéÕÒ + } + + return j; +} + +/* + * ¸ù¾ÝµÈ¼Û¹ØϵRÀ´ÕûÀí/½¨Á¢¼¯ºÏSÖеÄÔªËØ(×Ó¼¯)¡£ + */ +Status build_mfset(MFSet* S, Relation R) { + int k; + int i, j; + + for(k = 0; k < R.n; k++) { + // ÏÈ»ñÈ¡×Ó¼¯¸ù½áµã + i = find_mfset(*S, R.pairs[k].i); + j = find_mfset(*S, R.pairs[k].j); + + // ¶ÔÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯½øÐй鲢 + if(!merge_mfset(S, i, j)) { + return ERROR; + } + } + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.32/MFSet.h b/Dev-C++/ExerciseBook/07.32/MFSet.h new file mode 100644 index 0000000..2a061a5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.32/MFSet.h @@ -0,0 +1,92 @@ +/*===== + * ¼¯ºÏ + ======*/ + +#ifndef MFSET_H +#define MFSET_H + +#include +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include // +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* Ê÷µÄ×î´ó½áµãÊý£¬ÕâÀïָʾ×Ó¼¯×î´óÊýÁ¿ */ +#define MAX_TREE_SIZE 1024 + +/* ¶þÔª¹Øϵ¶ÔÊýÁ¿ */ +#define MAX_PAIR_SIZE 100 + +/* + * (Ë«Ç×)Ê÷µÄ½áµã¶¨Òå + * + *¡¾×¢¡¿ + * 1.ÒÀÕս̲ĵÄͼʾ£¬Ë«Ç×Ê÷ÔÚ¼¯ºÏµÄÓ¦ÓÃÖУ¬ÆäÄ£ÐÍÒѱ»¼ò»¯£º¼´Ë«Ç×½áµã²»ÔÙ±£ÁôÊý¾ÝÓò¡£ + * 2.½áµãµÄË÷ÒýÓÃÀ´±íʾËüÊÇÄÄÒ»¸ö×Ó¼¯£¬Ëü»á×÷Ϊ¸ü´ó×Ó¼¯µÄÒ»¸öÔªËØ´æÔÚ¡£ + * 3.È·¶¨Ä³¸ö×Ó¼¯ÊôÓÚSÖÐÄĸö¸ü´óµÄ×Ó¼¯Ê±£¬ÐèÒªÏòÉÏ×·Ëݵ½¸ü´ó×Ó¼¯µÄ¸ù¡£ + * 4.ʵ¼ÊʹÓÃÖУ¬Ã¿¸ö×Ó¼¯»á°üº¬ºÜ¶àÊý¾ÝÔªËØ£¬´Ëʱ¿ÉÒÔ½«Ã¿¸öÊý¾ÝÔªËØÓëÆäËùÊôµÄ×Ó¼¯½¨Á¢¹ØÁª¹Øϵ + * ¼´°Ñÿ¸öÊý¾ÝÔªËØÓ뼯ºÏSÖи÷½áµãµÄË÷Òý¹ØÁªÆðÀ´ + */ +typedef struct PTNode { + int parent; // Ë«Ç×λÖÃÓò£¬ÓÃÀ´Ö¸Ê¾¸Ã½áµãËùÊôµÄ×Ó¼¯ +} PTNode; + +/* + * (Ë«Ç×)Ê÷ÀàÐͶ¨Òå + * + *¡¾×¢¡¿ + * 1.Ê÷ÖнáµãÔÚnodesÖÐ"½ôÁÚ"´æ´¢£¬Ã»ÓпÕ϶ + * 2.µ±×Ó¼¯´æÔÚʱ£¬Ê÷¸ùrÉèÖÃΪ1£¬·ñÔò£¬Ê÷¸ùrÉèÖÃΪ0 + * 3.³ý¸ù½áµãÍ⣬ÆäËû½áµãÒÀ´Î°´²ãÐò˳ןù½áµãÍùÏÂÅÅÁÐ + * 5.ÕâÀï¼ÙÉènodes¿Õ¼äÊÇ×ã¹»´óµÄ£¬¿ÉÒÔÊÓÐèÇó½«Æä¸ÄΪ¶¯Ì¬·ÖÅä´æ´¢ + */ +typedef struct { + PTNode nodes[MAX_TREE_SIZE]; // ´æ´¢Ê÷Öнáµã + int r; // Ê÷¸ùλÖÃ(Ë÷Òý)£¬ÕâÀïÓÃÀ´Ö¸Ê¾µÚÒ»¸ö×Ó¼¯µÄλÖà + int n; // Ê÷µÄ½áµãÊý£¬ÕâÀïÓÃÀ´Ö¸Ê¾ËùÓÐ +} PTree; + +/* ¼¯ºÏÀàÐͶ¨Òå */ +typedef PTree MFSet; + +/* µ¥¸ö¶þÔª¹Øϵ¶Ô */ +typedef struct { + int i; + int j; +} Pair; + +/* ¼¯ºÏÄڵĵȼ۹Øϵ */ +typedef struct { + Pair pairs[MAX_PAIR_SIZE]; // ×ã¹»´óµÄ¿Õ¼ä´æ´¢¶þÔª¹Øϵ + int n; // ÒÑÖªµÄµÈ¼Û¹ØϵÊýÁ¿ +} Relation; + + +/* + * ³õʼ»¯Ò»¸öÓɶà¸ö×Ó¼¯£¨Ã¿¸ö×Ó¼¯Ö»°üº¬µ¥¸ö³ÉÔ±£©¹¹³ÉµÄ¼¯ºÏS¡£ + * + * + *¡¾±¸×¢¡¿ + * + * ÕâÀï¶ÔµÚ6ÕµÄMFSet×öÁ˸Ķ¯£º + * 1.Ö±½ÓÔÚ²ÎÊýÖд«Èë×Ó¼¯ÊýÁ¿ + * 2.×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý£¬Õâ»áÓ°Ïìµ½ºóÃæµÄº¯ÊýÖйØÓÚϱêµÄÅÐ¶Ï + */ +Status initial_mfset(MFSet* S, int n); + +/* + * ÇóÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯SiºÍ×Ó¼¯SjµÄ²¢¼¯¡£ + */ +Status merge_mfset(MFSet* S, int i, int j); + +/* + * ÔÚ¼¯ºÏSÖвéÕÒÔªËØiµ±Ç°ËùÊôµÄ×Ó¼¯¡£ + */ +int find_mfset(MFSet S, int i); + +/* + * ¸ù¾ÝµÈ¼Û¹ØϵRÀ´ÕûÀí/½¨Á¢¼¯ºÏSÖеÄÔªËØ(×Ó¼¯)¡£ + */ +Status build_mfset(MFSet* S, Relation R); + +#endif diff --git a/Dev-C++/ExerciseBook/07.32/MinimumSpanningTree.cpp b/Dev-C++/ExerciseBook/07.32/MinimumSpanningTree.cpp new file mode 100644 index 0000000..ff02e10 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.32/MinimumSpanningTree.cpp @@ -0,0 +1,118 @@ +/*=================== + * ÎÞÏòÍøµÄ×îСÉú³ÉÉ­ÁÖ + ===================*/ + +#include "MinimumSpanningTree.h" + +/* + * ÆÕÀïÄ·Ëã·¨ÖÐÓõ½µÄ¸¨ÖúÊý×飬 + * ÓÃÀ´¼Ç¼´Ó¶¥µã×Ó¼¯Uµ½¶¥µã×Ó¼¯V-UµÄ´ú¼Û×îСµÄ±ß + */ +static struct { + VertexType adjvex; // ¶¥µã×Ó¼¯UÖеĶ¥µã + int lowcost; // ¶¥µã×Ó¼¯V-Uµ½µ±Ç°¶¥µãadjvexµÄ±ßµÄȨֵ +} closedge[MAX_VERTEX_NUM]; // ¸¨ÖúÊý×é + + +/* + * ʹÓÃÆÕÀïÄ·Ëã·¨¹¹ÔìÎÞÏòÍøGµÄ×îСÉú³ÉÉ­ÁÖ + */ +CSTree MinSpanTree_PRIM(ALGraph G) { + int i, j, k; + ArcNode* p; + CSTree r; + CSTree T = NULL; + CSTree curRoot = NULL; // ×·×ÙÉ­ÁÖÖÐ×ÓÊ÷µÄ¸ù½áµã + CSTree parent[MAX_VERTEX_NUM] = {NULL}; // ×·×Ù¸÷¶¥µãÔÚÉ­ÁÖÖеÄλÖÃ(ÓÃÖ¸ÕëÖ¸Ïò¸Ã¶¥µã) + + // ¸¨ÖúÊý×é³õʼ»¯£º³õʼ»¯ËùÓÐȨֵΪ0 + for(j=0; jfirstchild = r->nextsibling = NULL; + + // ³öÏÖÁËеÄ×ÓÊ÷ + if(k==-1) { + printf("----------\n"); + + // È·¶¨É­ÁÖÖÐ×ÓÊ÷µÄ¸ù + for(k=0; kdata = G.vertices[k].data; + parent[k] = r; + + if(curRoot==NULL) { + T = curRoot = r; + } else { + // Á´½Óµ½É­ÁÖÖÐÏÂÒ»¿ÃÊ÷ + curRoot->nextsibling = r; + curRoot = r; + } + + break; + } + } + } else { + r->data = G.vertices[k].data; + + // »ñÈ¡¸¸½áµãÔÚͼÖеÄÐòºÅ + j = LocateVex(G, closedge[k].adjvex); + if(parent[j]->firstchild==NULL) { + parent[j]->firstchild = r; + } else { + // Ö±½Ó²ÉÓÃÍ·²å·¨¼´¿É + r->nextsibling = parent[j]->firstchild->nextsibling; + parent[j]->firstchild->nextsibling = r; + } + + parent[k] = r; + + // ´òÓ¡¶¥µãºÍ±ßµÄÐÅÏ¢ + printf("%c --%2d-- %c\n", closedge[k].adjvex, closedge[k].lowcost, G.vertices[k].data); + } + + // ½«¶¥µãk¼ÓÈëµ½¶¥µã×Ó¼¯U + closedge[k].lowcost = 0; + + // ж¥µã½øÈ붥µã×Ó¼¯Uºó£¬ÐèÒª¸üж¥µã×Ó¼¯UÓ붥µã×Ó¼¯V-UµÄ±ßµÄÐÅÏ¢ + for(p=G.vertices[k].firstarc; p!=NULL; p = p->nextarc) { + j = p->adjvex; + + if(p->info->weightinfo->weight; + } + } + } + + return T; +} + +/* + * ´Ó¶¥µã×Ó¼¯V-UÖÐÑ¡³öÏÂÒ»¸öºòÑ¡¶¥µãÒÔ±ãºóÐø¼ÓÈëµ½×îСÉú³ÉÊ÷ + * + * Ñ¡Ôñ¶¥µã×Ó¼¯Uµ½¶¥µã×Ó¼¯V-UµÄȨֵ×îСµÄ±ß£¬ + * ²¢·µ»Ø¸Ã±ßÔÚ¶¥µã×Ó¼¯V-UÖÐÄÇÍ·µÄ¶Ëµã£¬ + * ¸Ã¶ËµãºóÐø»á¼ÓÈëµ½¶¥µã×Ó¼¯UÖУ¬³ÉΪ×îСÉú³ÉÊ÷µÄнáµã¡£ + */ +static int minimum(ALGraph G) { + int i, k = -1; + int min = INT_MAX; + + // ´ÓȨֵ²»Îª0µÄ±ßÖÐÑ¡ÔñÓµÓÐ×îСȨֵµÄ±ß + for(i = 0; i < G.vexnum; i++) { + if(closedge[i].lowcost != 0 && closedge[i].lowcost < min) { + min = closedge[i].lowcost; + k = i; + } + } + + return k; +} diff --git a/Dev-C++/ExerciseBook/07.32/MinimumSpanningTree.h b/Dev-C++/ExerciseBook/07.32/MinimumSpanningTree.h new file mode 100644 index 0000000..8cf83b5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.32/MinimumSpanningTree.h @@ -0,0 +1,30 @@ +/*=================== + * ÎÞÏòÍøµÄ×îСÉú³ÉÉ­ÁÖ + ===================*/ + +#ifndef MINIMUMSPANNINGTREE_H +#define MINIMUMSPANNINGTREE_H + +#include +#include /* ÌṩINT_MAXºê */ +#include "MFSet.h" //**¡ø06 Ê÷ºÍ¶þ²æÊ÷**// +#include "ALGraph.h" //**¡ø07 ͼ**// +#include "CSTree.h" //**¡ø06 Ê÷ºÍ¶þ²æÊ÷**// + +/* + * ʹÓÃÆÕÀïÄ·Ëã·¨¹¹ÔìÎÞÏòÍøGµÄ×îСÉú³ÉÉ­ÁÖ + */ +CSTree MinSpanTree_PRIM(ALGraph G); + +/* + * ´Ó¶¥µã×Ó¼¯V-UÖÐÑ¡³öÏÂÒ»¸öºòÑ¡¶¥µãÒÔ±ãºóÐø¼ÓÈëµ½×îСÉú³ÉÊ÷ + * + * Ñ¡Ôñ¶¥µã×Ó¼¯Uµ½¶¥µã×Ó¼¯V-UµÄȨֵ×îСµÄ±ß£¬ + * ²¢·µ»Ø¸Ã±ßÔÚ¶¥µã×Ó¼¯V-UÖÐÄÇÍ·µÄ¶Ëµã£¬ + * ¸Ã¶ËµãºóÐø»á¼ÓÈëµ½¶¥µã×Ó¼¯UÖУ¬³ÉΪ×îСÉú³ÉÊ÷µÄнáµã¡£ + * + * ×¢£ºÐβÎÓë½Ì²ÄÖиø³öµÄÄ£°åÓÐËù²»Í¬ + */ +static int minimum(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.32/TestData_UDN.txt b/Dev-C++/ExerciseBook/07.32/TestData_UDN.txt new file mode 100644 index 0000000..27a36b9 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.32/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú13 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬M£¬N¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬D£¬5¡¿¡¾A£¬B£¬1¡¿¡¾A£¬C£¬3¡¿¡¾A£¬N£¬7¡¿¡¾E£¬F£¬10¡¿¡¾G£¬I£¬1¡¿¡¾I£¬H£¬5¡¿¡¾G£¬J£¬2¡¿¡¾G£¬H£¬7¡¿¡¾D£¬K£¬4¡¿¡¾K£¬M£¬5¡¿¡¾K£¬N£¬2¡¿¡¾D£¬M£¬12¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.33/07.33.cpp b/Dev-C++/ExerciseBook/07.33/07.33.cpp new file mode 100644 index 0000000..062b5f1 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/07.33.cpp @@ -0,0 +1,38 @@ +#include +#include "CSTree.h" +#include "MinimumSpanningTree.h" +#include "Graph.h" + +/* + * ÇóÎÞÏòÍøµÄ×îСÉú³ÉÊ÷ + */ +void Algo_7_33(Graph G); + + +int main(int argc, char* argv[]) { + Graph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡ÎÞÏòÍø... \n"); + { + CreateGraph(&G, "TestData_UDN.txt"); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ʹÓÿ˳˹¿¨¶ûËã·¨»ñÈ¡×îСÉú³ÉÊ÷... \n"); + { + Algo_7_33(G); + printf("\n"); + } +} + + +/* + * ÇóÎÞÏòÍøµÄ×îСÉú³ÉÊ÷ + */ +void Algo_7_33(Graph G) { + CSTree T = MinSpanTree_KRUSKAL(G); + + // Êä³öÇóÈ¡µÄ×îСÉú³ÉÊ÷£¬´Ë²½Öè¿ÉÑ¡ + PrintTree(T); +} diff 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z%b*yk80gn0_ZZ3V6`uSB(XykBW?oW){1I}KdvJMToi+3njO_`P_nwvaUQ&R*>qg^# z+jUvu(*^Hi5G$tfW+Nrw=S)yN$Le1c(_wp(<#x1ph9AWz+uX%U!4CodR1`GjOJvRb F{vRPR)V%-z literal 0 HcmV?d00001 diff --git a/Dev-C++/ExerciseBook/07.33/CSTree.cpp b/Dev-C++/ExerciseBook/07.33/CSTree.cpp new file mode 100644 index 0000000..3a1f268 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/CSTree.cpp @@ -0,0 +1,76 @@ +/*=================================== + * Ê÷µÄ¶þ²æÁ´±í£¨º¢×Ó-Ðֵܣ©½á¹¹´æ´¢±íʾ + ====================================*/ + +#include "CSTree.h" + +int count = 0; + +/* + * ³õʼ»¯ + * + * ¹¹Ôì¿ÕÊ÷¡£ + */ +Status InitTree(CSTree* T) { + if(T == NULL) { + return ERROR; + } + + *T = NULL; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏÊ÷ÊÇ·ñΪ¿ÕÊ÷¡£ + */ +Status TreeEmpty(CSTree T) { + return T == NULL ? TRUE : FALSE; +} + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ +void PrintTree(CSTree T) { + + // Óöµ½¿ÕÊ÷ÔòÎÞÐè¼ÌÐø¼ÆËã + if(TreeEmpty(T)) { + printf("\n"); + return; + } + + Print(T, 0); + + printf("\n"); +} + +// ͼÐλ¯Êä³öµ±Ç°½á¹¹ÄÚ²¿ÊµÏÖ +static void Print(CSTree T, int row) { + int k; + + if(T == NULL) { + return; + } + + if(row==0) { + printf("\nµÚ %d ¿ÃÊ÷...\n", ++count); + } + + // ·ÃÎʵ±Ç°½áµã + printf("%c ", T->data); + + Print(T->firstchild, row + 1); + + if(T->nextsibling != NULL) { + printf("\n"); + + for(k = 0; k < row; k++) { + printf(". "); + } + + Print(T->nextsibling, row); + } +} diff --git a/Dev-C++/ExerciseBook/07.33/CSTree.h b/Dev-C++/ExerciseBook/07.33/CSTree.h new file mode 100644 index 0000000..6f30d18 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/CSTree.h @@ -0,0 +1,53 @@ +/*=================================== + * Ê÷µÄ¶þ²æÁ´±í£¨º¢×Ó-Ðֵܣ©½á¹¹´æ´¢±íʾ + ====================================*/ + +#ifndef CSTREE_H +#define CSTREE_H + +#include +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* µ¥¸ö½áµã×î´óµÄº¢×ÓÊýÁ¿ */ +#define MAX_CHILD_COUNT 8 + +/* Ê÷µÄÔªËØÀàÐͶ¨Ò壬ÕâÀï¼ÙÉèÆäÔªËØÀàÐÍΪchar */ +typedef char TElemType; + +/* (º¢×Ó-ÐÖµÜ)Ê÷µÄ½áµã¶¨Òå */ +typedef struct CSNode { + TElemType data; + struct CSNode* firstchild; // Ö¸Ïò³¤×Ó + struct CSNode* nextsibling; // Ö¸ÏòÓÒÐÖµÜ +} CSNode; + +/* (º¢×Ó-ÐÖµÜ)Ê÷ÀàÐͶ¨Òå */ +typedef CSNode* CSTree; + + +/* + * ³õʼ»¯ + * + * ¹¹Ôì¿ÕÊ÷¡£ + */ +Status InitTree(CSTree* T); + +/* + * ÅÐ¿Õ + * + * ÅжÏÊ÷ÊÇ·ñΪ¿ÕÊ÷¡£ + */ +Status TreeEmpty(CSTree T); + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ +void PrintTree(CSTree T); + +// ͼÐλ¯Êä³öµ±Ç°½á¹¹ÄÚ²¿ÊµÏÖ +static void Print(CSTree T, int row); + +#endif diff --git a/Dev-C++/ExerciseBook/07.33/Graph.cpp b/Dev-C++/ExerciseBook/07.33/Graph.cpp new file mode 100644 index 0000000..131d209 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/Graph.cpp @@ -0,0 +1,244 @@ +/*================================= + * ÓÉÌâ7.33µÄÃèÊö´´½¨µÄÒ»ÖÖÎÞÏòÍø½á¹¹ + ==================================*/ + +#include "Graph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + + +/* + * ´´½¨ÎÞÏòÍø + * + * pathΪNULL»òΪ""ʱ£¬´Ó¿ØÖÆ̨¶ÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + * ·ñÔò£¬´ÓÔ¤ÉèµÄÎļþÖжÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + */ +Status CreateGraph(Graph* G, char* path) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = path == NULL || strcmp(path, "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(!readFromConsole) { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path, "r"); + if(fp == NULL) { + return ERROR; + } + } + + Create(G); + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return OK; +} + +/* + * ´´½¨ÎÞÏòÍøµÄºËÐÄËã·¨ + */ +static void Create(Graph* G) { + int u, v, k; + VertexType v1, v2; + int weight; + + // ´Ó¿ØÖÆ̨¶ÁÈ¡ + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &((*G).arcnum)); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(k = 0; k < (*G).vexnum; k++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[k])); + } + + // ´ÓÎļþ¶ÁÈ¡ + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼Èë±ßÊý + + // ¼È붥µã¼¯ + for(k = 0; k < (*G).vexnum; k++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[k])); + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÓëȨֵ֮¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¹¹Ôì±ß¼¯½á¹¹£¬0ºÅµ¥Ôª´æ´¢±ßµÄÊýÁ¿ + (*G).EdgeSet = (EdgeSetType*) malloc(((*G).arcnum + 1) * sizeof(EdgeSetType)); + if((*G).EdgeSet == NULL) { + exit(ERROR); + } + + // EdgeSetµÄ0ºÅµ¥Ôª´æ´¢ÁËÎÞÏòÍøÖбߵÄÊýÁ¿ + (*G).EdgeSet[0].weight = (*G).arcnum; + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ßÓëȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%d", &weight); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &weight); + } + + u = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + v = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + (*G).EdgeSet[k + 1].u = u; + (*G).EdgeSet[k + 1].v = v; + (*G).EdgeSet[k + 1].weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚÎÞÏòÍøÖеÄλÖà + */ +int LocateVex(Graph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * ´Ó±ß¼¯EdgeSetÖлñÈ¡×îС±ßµÄ¶¥µãuºÍv£¬²¢·µ»ØTRUE¡£ + * Èô±ß¼¯Îª¿Õ£¬Ôò·µ»ØFASLE¡£ + */ +Boolean GetMinEdge(EdgeSetType* EdgeSet, int* u, int* v) { + int i, j, k; + int min = INT_MAX; // ¼Ç¼ȨֵµÄ×î´óÖµ + + // ±ß¼¯Îª¿Õ + if(EdgeSet[0].weight == 0) { + return FALSE; + } + + // ²éÕÒȨֵ×îСµÄ±ß + for(k = 1; k <= EdgeSet[0].weight; k++) { + if(EdgeSet[k].weight < min) { + min = EdgeSet[k].weight; + i = EdgeSet[k].u; + j = EdgeSet[k].v; + } + } + + // ¼Ç¼¶¥µãÐÅÏ¢ + *u = i; + *v = j; + + return TRUE; +} + +/* + * ´Ó±ß¼¯ÖÐɾ³ýÒÀ¸½ÓÚ¶¥µãuºÍvµÄ×îС±ß¡£ + * ɾ³ý³É¹¦·µ»ØTRUE£¬·ñÔò£¬·µ»ØFALSE¡£ + */ +Boolean DelMinEdge(EdgeSetType* EdgeSet, int u, int v) { + int k; + Boolean found = FALSE; // ÊÇ·ñÕÒµ½Á豧 + + // ±ß¼¯Îª¿Õ + if(EdgeSet[0].weight == 0) { + return FALSE; + } + + // ÏȲéÕÒ¸ÃÌõ±ßÔڱ߼¯ÖеÄλÖà + for(k = 1; k <= EdgeSet[0].weight; k++) { + if((EdgeSet[k].u == u && EdgeSet[k].v == v) || (EdgeSet[k].u == v && EdgeSet[k].v == u)) { + found = TRUE; + break; + } + } + + if(found == FALSE) { + return FALSE; + } + + // ÕâÀï²ÉÓõÄɾ³ý·½Ê½ÊÇÖ±½ÓÓÃ×îºóÒ»Ìõ±ßµÄÐÅÏ¢¸²¸Ç´ýɾ³ý±ßµÄÐÅÏ¢ + EdgeSet[k] = EdgeSet[EdgeSet[0].weight]; + EdgeSet[0].weight--; + + return TRUE; +} + +/* + * ´òÓ¡ÎÞÏòÍø½á¹¹ + */ +void PrintGraph(Graph G) { + int i, j, k, w; + int adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + // ³õʼ»¯±ßµÄÐÅÏ¢ + for(i = 0; i < G.vexnum; i++) { + for(j = 0; j < G.vexnum; j++) { + adjs[i][j] = INFINITE; + } + } + + // ¹¹Ôì±ß¼¯¾ØÕó + for(k = 1; k <= G.EdgeSet[0].weight; k++) { + i = G.EdgeSet[k].u; + j = G.EdgeSet[k].v; + w = G.EdgeSet[k].weight; + + adjs[i][j] = adjs[j][i] = w; + } + + printf("µ±Ç°ÎÞÏòÍø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(adjs[i][j] == INFINITE) { + printf(" -"); + } else { + printf("%3d", adjs[i][j]); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.33/Graph.h b/Dev-C++/ExerciseBook/07.33/Graph.h new file mode 100644 index 0000000..859b43c --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/Graph.h @@ -0,0 +1,71 @@ +/*================================= + * ÓÉÌâ7.33µÄÃèÊö´´½¨µÄÒ»ÖÖÎÞÏòÍø½á¹¹ + ==================================*/ + +#ifndef GRAPH_H +#define GRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ¶¥µã¸öÊý×î´óÖµ + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß¼¯ÀàÐÍ +typedef struct { + int u, v; // ¶¥µã + int weight; // Ȩֵ +} EdgeSetType; + +// ÓÐÏòͼÀàÐͶ¨Òå +typedef struct Graph { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + EdgeSetType* EdgeSet; // ±ß¼¯ + int vexnum, arcnum; // ÓÐÏòͼµÄ¶¥µãÊýºÍ»¡Êý +} Graph; + + +/* + * ´´½¨ÓÐÏòͼ + * + * pathΪNULL»òΪ""ʱ£¬´Ó¿ØÖÆ̨¶ÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + * ·ñÔò£¬´ÓÔ¤ÉèµÄÎļþÖжÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + */ +Status CreateGraph(Graph* G, char* path); + +/* + * ´´½¨ÓÐÏòͼµÄºËÐÄËã·¨ + */ +static void Create(Graph* G); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚÓÐÏòͼÖеÄλÖà + */ +int LocateVex(Graph G, VertexType u); + +/* + * ´Ó±ß¼¯EdgeSetÖлñÈ¡×îС±ßµÄ¶¥µãuºÍv£¬²¢·µ»ØTRUE¡£ + * Èô±ß¼¯Îª¿Õ£¬Ôò·µ»ØFASLE¡£ + */ +Boolean GetMinEdge(EdgeSetType* EdgeSet, int* u, int* v); + +/* + * ´Ó±ß¼¯ÖÐɾ³ýÒÀ¸½ÓÚ¶¥µãuºÍvµÄ×îС±ß¡£ + * ɾ³ý³É¹¦·µ»ØTRUE£¬·ñÔò£¬·µ»ØFALSE¡£ + */ +Boolean DelMinEdge(EdgeSetType* EdgeSet, int u, int v); + +/* + * ´òÓ¡ÓÐÏòͼ½á¹¹ + */ +void PrintGraph(Graph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.33/MFSet.cpp b/Dev-C++/ExerciseBook/07.33/MFSet.cpp new file mode 100644 index 0000000..8b9d29d --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/MFSet.cpp @@ -0,0 +1,93 @@ +/*===== + * ¼¯ºÏ + ======*/ + +#include "MFSet.h" + +/* + * ³õʼ»¯Ò»¸öÓɶà¸ö×Ó¼¯£¨Ã¿¸ö×Ó¼¯Ö»°üº¬µ¥¸ö³ÉÔ±£©¹¹³ÉµÄ¼¯ºÏS¡£ + * + * + *¡¾±¸×¢¡¿ + * + * ÕâÀï¶ÔµÚ6ÕµÄMFSet×öÁ˸Ķ¯£º + * 1.Ö±½ÓÔÚ²ÎÊýÖд«Èë×Ó¼¯ÊýÁ¿ + * 2.×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý£¬Õâ»áÓ°Ïìµ½ºóÃæµÄº¯ÊýÖйØÓÚϱêµÄÅÐ¶Ï + */ +Status initial_mfset(MFSet* S, int n) { + int i; + + if(n <= 0) { + return ERROR; + } + + S->n = n; + S->r = 0; // µÚÒ»¸ö×Ó¼¯µÄλÖÃÔÚ0ºÅµ¥Ôª + + // ×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý + for(i = 0; i < n; i++) { + S->nodes[i].parent = -1; + } + + return OK; +} + +/* + * ÇóÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯SiºÍ×Ó¼¯SjµÄ²¢¼¯¡£ + */ +Status merge_mfset(MFSet* S, int i, int j) { + + // Ë÷ÒýÔ½½ç + if(i < 0 || i > S->n - 1 || j < 0 || j > S->n - 1) { + return ERROR; + } + + // ÏàͬµÄ×Ó¼¯ÎÞÐèºÏ²¢£¬Ö±½Ó·µ»Ø + if(i == j) { + return OK; + } + + S->nodes[i].parent = j; + + return OK; +} + +/* + * ÔÚ¼¯ºÏSÖвéÕÒÔªËØiµ±Ç°ËùÊôµÄ×Ó¼¯¡£ + */ +int find_mfset(MFSet S, int i) { + int j; + + // Ë÷ÒýÔ½½ç + if(i < 0 || i > S.n - 1) { + return -1; + } + + // ²éÕÒiËùÊôµÄ×Ó¼¯µÄ¸ù½áµã + for(j = i; S.nodes[j].parent >= 0; j = S.nodes[j].parent) { + // ´ÓÏÂÍùÉϲéÕÒ + } + + return j; +} + +/* + * ¸ù¾ÝµÈ¼Û¹ØϵRÀ´ÕûÀí/½¨Á¢¼¯ºÏSÖеÄÔªËØ(×Ó¼¯)¡£ + */ +Status build_mfset(MFSet* S, Relation R) { + int k; + int i, j; + + for(k = 0; k < R.n; k++) { + // ÏÈ»ñÈ¡×Ó¼¯¸ù½áµã + i = find_mfset(*S, R.pairs[k].i); + j = find_mfset(*S, R.pairs[k].j); + + // ¶ÔÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯½øÐй鲢 + if(!merge_mfset(S, i, j)) { + return ERROR; + } + } + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.33/MFSet.h b/Dev-C++/ExerciseBook/07.33/MFSet.h new file mode 100644 index 0000000..2a061a5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/MFSet.h @@ -0,0 +1,92 @@ +/*===== + * ¼¯ºÏ + ======*/ + +#ifndef MFSET_H +#define MFSET_H + +#include +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include // +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* Ê÷µÄ×î´ó½áµãÊý£¬ÕâÀïָʾ×Ó¼¯×î´óÊýÁ¿ */ +#define MAX_TREE_SIZE 1024 + +/* ¶þÔª¹Øϵ¶ÔÊýÁ¿ */ +#define MAX_PAIR_SIZE 100 + +/* + * (Ë«Ç×)Ê÷µÄ½áµã¶¨Òå + * + *¡¾×¢¡¿ + * 1.ÒÀÕս̲ĵÄͼʾ£¬Ë«Ç×Ê÷ÔÚ¼¯ºÏµÄÓ¦ÓÃÖУ¬ÆäÄ£ÐÍÒѱ»¼ò»¯£º¼´Ë«Ç×½áµã²»ÔÙ±£ÁôÊý¾ÝÓò¡£ + * 2.½áµãµÄË÷ÒýÓÃÀ´±íʾËüÊÇÄÄÒ»¸ö×Ó¼¯£¬Ëü»á×÷Ϊ¸ü´ó×Ó¼¯µÄÒ»¸öÔªËØ´æÔÚ¡£ + * 3.È·¶¨Ä³¸ö×Ó¼¯ÊôÓÚSÖÐÄĸö¸ü´óµÄ×Ó¼¯Ê±£¬ÐèÒªÏòÉÏ×·Ëݵ½¸ü´ó×Ó¼¯µÄ¸ù¡£ + * 4.ʵ¼ÊʹÓÃÖУ¬Ã¿¸ö×Ó¼¯»á°üº¬ºÜ¶àÊý¾ÝÔªËØ£¬´Ëʱ¿ÉÒÔ½«Ã¿¸öÊý¾ÝÔªËØÓëÆäËùÊôµÄ×Ó¼¯½¨Á¢¹ØÁª¹Øϵ + * ¼´°Ñÿ¸öÊý¾ÝÔªËØÓ뼯ºÏSÖи÷½áµãµÄË÷Òý¹ØÁªÆðÀ´ + */ +typedef struct PTNode { + int parent; // Ë«Ç×λÖÃÓò£¬ÓÃÀ´Ö¸Ê¾¸Ã½áµãËùÊôµÄ×Ó¼¯ +} PTNode; + +/* + * (Ë«Ç×)Ê÷ÀàÐͶ¨Òå + * + *¡¾×¢¡¿ + * 1.Ê÷ÖнáµãÔÚnodesÖÐ"½ôÁÚ"´æ´¢£¬Ã»ÓпÕ϶ + * 2.µ±×Ó¼¯´æÔÚʱ£¬Ê÷¸ùrÉèÖÃΪ1£¬·ñÔò£¬Ê÷¸ùrÉèÖÃΪ0 + * 3.³ý¸ù½áµãÍ⣬ÆäËû½áµãÒÀ´Î°´²ãÐò˳ןù½áµãÍùÏÂÅÅÁÐ + * 5.ÕâÀï¼ÙÉènodes¿Õ¼äÊÇ×ã¹»´óµÄ£¬¿ÉÒÔÊÓÐèÇó½«Æä¸ÄΪ¶¯Ì¬·ÖÅä´æ´¢ + */ +typedef struct { + PTNode nodes[MAX_TREE_SIZE]; // ´æ´¢Ê÷Öнáµã + int r; // Ê÷¸ùλÖÃ(Ë÷Òý)£¬ÕâÀïÓÃÀ´Ö¸Ê¾µÚÒ»¸ö×Ó¼¯µÄλÖà + int n; // Ê÷µÄ½áµãÊý£¬ÕâÀïÓÃÀ´Ö¸Ê¾ËùÓÐ +} PTree; + +/* ¼¯ºÏÀàÐͶ¨Òå */ +typedef PTree MFSet; + +/* µ¥¸ö¶þÔª¹Øϵ¶Ô */ +typedef struct { + int i; + int j; +} Pair; + +/* ¼¯ºÏÄڵĵȼ۹Øϵ */ +typedef struct { + Pair pairs[MAX_PAIR_SIZE]; // ×ã¹»´óµÄ¿Õ¼ä´æ´¢¶þÔª¹Øϵ + int n; // ÒÑÖªµÄµÈ¼Û¹ØϵÊýÁ¿ +} Relation; + + +/* + * ³õʼ»¯Ò»¸öÓɶà¸ö×Ó¼¯£¨Ã¿¸ö×Ó¼¯Ö»°üº¬µ¥¸ö³ÉÔ±£©¹¹³ÉµÄ¼¯ºÏS¡£ + * + * + *¡¾±¸×¢¡¿ + * + * ÕâÀï¶ÔµÚ6ÕµÄMFSet×öÁ˸Ķ¯£º + * 1.Ö±½ÓÔÚ²ÎÊýÖд«Èë×Ó¼¯ÊýÁ¿ + * 2.×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý£¬Õâ»áÓ°Ïìµ½ºóÃæµÄº¯ÊýÖйØÓÚϱêµÄÅÐ¶Ï + */ +Status initial_mfset(MFSet* S, int n); + +/* + * ÇóÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯SiºÍ×Ó¼¯SjµÄ²¢¼¯¡£ + */ +Status merge_mfset(MFSet* S, int i, int j); + +/* + * ÔÚ¼¯ºÏSÖвéÕÒÔªËØiµ±Ç°ËùÊôµÄ×Ó¼¯¡£ + */ +int find_mfset(MFSet S, int i); + +/* + * ¸ù¾ÝµÈ¼Û¹ØϵRÀ´ÕûÀí/½¨Á¢¼¯ºÏSÖеÄÔªËØ(×Ó¼¯)¡£ + */ +Status build_mfset(MFSet* S, Relation R); + +#endif diff --git a/Dev-C++/ExerciseBook/07.33/MinimumSpanningTree.cpp b/Dev-C++/ExerciseBook/07.33/MinimumSpanningTree.cpp new file mode 100644 index 0000000..6bdae68 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/MinimumSpanningTree.cpp @@ -0,0 +1,142 @@ +/*================== + * ÎÞÏòÍøµÄ×îСÉú³ÉÊ÷ + * + * °üº¬Ëã·¨: 7.9 + ==================*/ + +#include "MinimumSpanningTree.h" + +/* + * ʹÓÿ˳˹¿¨¶ûËã·¨ÇóÈ¡×îСÉú³ÉÊ÷ + */ +CSTree MinSpanTree_KRUSKAL(Graph G) { + int k; + int v1, v2; + int s1, s2; + + CSTree T = NULL; + CSTree parent[MAX_VERTEX_NUM] = {NULL}; // ×·×Ù¸÷¶¥µãÔÚÊ÷ÖеÄλÖÃ(ÓÃÖ¸ÕëÖ¸Ïò¸Ã¶¥µã) + SqQueue queue; + int root; + + // ¼Ç¼ÒѾ­¼ÓÈëµ½×îСÉú³ÉÊ÷µÄ¶¥µã¼¯£¬ÕâÀïʹÓü¯ºÏµÄÄ¿µÄÊÇ¿ìËÙÅжϺòÑ¡¶¥µãÊÇ·ñ»áÔì³É»·Â· + MFSet S; + Relation relation; + + // ´æ´¢ÓÐÏòÍø±ß¼¯µÄÒ»¸ö¸±±¾ + EdgeSetType* EdgeSet; + + // ´æ´¢×îСÉú³ÉÊ÷Öаüº¬µÄ±ß¼¯ + EdgeSetType* tree; + EdgeSetType edge; + + // ¸´ÖÆÓÐÏòÍøµÄ±ß¼¯ + EdgeSet = (EdgeSetType*) malloc((G.EdgeSet[0].weight * sizeof(EdgeSetType))); + for(k = 0; k <= G.EdgeSet[0].weight; k++) { + EdgeSet[k] = G.EdgeSet[k]; // ½á¹¹Ìå¿ÉÒÔÖ±½Ó¸´ÖÆ + } + + // ×îСÉú³ÉÊ÷Öаüº¬µÄ±ßµÄÊýÁ¿Îª¶¥µãÊý-1£¬µ«ÕâÀï¶à·ÖÅäÁËÒ»¸öµ¥Ôª£¬ÒòΪ0ºÅµ¥ÔªÒª´æ´¢±ßµÄÊýÁ¿ + tree = (EdgeSetType*) malloc(G.vexnum * sizeof(EdgeSetType)); + tree[0].weight = 0; + + // ³õʼ»¯¶¥µã¼¯ºÏ + initial_mfset(&S, G.vexnum); + + // ´Ó±ß¼¯ÖÐÒÀ´ÎÑ¡ÔñȨֵ×îС£¬ÇÒ²»¹¹³É»·Â·µÄ±ß¼ÓÈëµ½×îСÉú³ÉÊ÷ + for(k = 0; k < G.arcnum; k++) { + // Ñ¡³öÒ»ÌõȨֵ×îСµÄ±ß + GetMinEdge(EdgeSet, &v1, &v2); + // Ñ¡ÍêÖ®ºó¾Í¿ÉÒԴӱ߼¯µÄ¸±±¾ÖÐɾµôÕâÌõ±ßÁË£¬ÒòΪºóÐø²»ÔÙÐèÒªËü + DelMinEdge(EdgeSet, v1, v2); + + s1 = find_mfset(S, v1); + s2 = find_mfset(S, v2); + + // Èç¹ûÕâÁ½¸ö¶ËµãλÓÚͬһ¸ö¼¯ºÏ£¬ÔòÌø¹ý¸ÃÌõ±ß + if(s1 == s2) { + continue; + } + + // ¹¹Ôì¶þÔª¹Øϵ + relation.n = 1; + relation.pairs[0].i = v1; + relation.pairs[0].j = v2; + + build_mfset(&S, relation); + + // ´òÓ¡¶¥µãºÍ±ßµÄÐÅÏ¢ + printf("%c %c\n", G.vexs[v1], G.vexs[v2]); + + // ´´½¨Ê÷½áµãv1 + if(parent[v1] == NULL) { + parent[v1] = (CSTree) malloc(sizeof(CSNode)); + parent[v1]->data = G.vexs[v1]; + parent[v1]->firstchild = parent[v1]->nextsibling = NULL; + } + + // ´´½¨Ê÷½áµãv2 + if(parent[v2] == NULL) { + parent[v2] = (CSTree) malloc(sizeof(CSNode)); + parent[v2]->data = G.vexs[v2]; + parent[v2]->firstchild = parent[v2]->nextsibling = NULL; + } + + // Ïò¼¯ºÏÖд洢¹¹³É×îСÉú³ÉÊ÷µÄ±ß + tree[0].weight++; + tree[tree[0].weight].u = v1; + tree[tree[0].weight].v = v2; + } + + + /* ½ÓÏÂÀ´Ê¹ÓÃÒÑÖªµÄ±ßÀ´¹¹ÔìÊ÷µÄº¢×Ó-ÐÖµÜÁ´±í´æ´¢½á¹¹ */ + + if(tree[0].weight<=0) { + return NULL; + } + + InitQueue(&queue); + + // È·¶¨Õû¿ÃÊ÷µÄ¸ù½áµã + T = parent[tree[1].u]; + + // ×·×Ùÿ¿Ã×ÓÊ÷µÄ¸ù½áµã + root = tree[1].u; + + while(tree[0].weight > 0) { + // ²éÕÒ°üº¬¶ËµãrootµÄ±ß + for(k = 1; k <= tree[0].weight; k++) { + if(tree[k].u == root || tree[k].v == root) { + break; + } + } + + // ÕÒµ½ÁËÕâÑùµÄ±ß + if(k <= tree[0].weight) { + edge = tree[k]; + + // ÒƳýÕâÌõ±ß£¬´Ë´¦Ö»ÊÇÓÃ×îºóÒ»Ìõ±ßµÄÐÅÏ¢¼òµ¥µØ¸²¸ÇÕâÌõ±ßµÄÐÅÏ¢ + tree[k] = tree[tree[0].weight]; + tree[0].weight--; + + if(edge.u == root) { + // °Ñ½áµãvÌí¼ÓΪ½áµãuµÄÒ»¸öº¢×Ó½áµã£¬ÕâÀï¼òµ¥µØʹÓÃÍ·²å·¨ + parent[edge.v]->nextsibling = parent[edge.u]->firstchild; + parent[edge.u]->firstchild = parent[edge.v]; + + EnQueue(&queue, edge.v); + } else { + // °Ñ½áµãuÌí¼ÓΪ½áµãvµÄÒ»¸öº¢×Ó½áµã£¬ÕâÀï¼òµ¥µØʹÓÃÍ·²å·¨ + parent[edge.u]->nextsibling = parent[edge.v]->firstchild; + parent[edge.v]->firstchild = parent[edge.u]; + + EnQueue(&queue, edge.u); + } + } else { + // »ñȡеÄ×ÓÊ÷µÄroot + DeQueue(&queue, &root); + } + } + + return T; +} diff --git a/Dev-C++/ExerciseBook/07.33/MinimumSpanningTree.h b/Dev-C++/ExerciseBook/07.33/MinimumSpanningTree.h new file mode 100644 index 0000000..09cb58c --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/MinimumSpanningTree.h @@ -0,0 +1,22 @@ +/*================== + * ÎÞÏòÍøµÄ×îСÉú³ÉÊ÷ + * + * °üº¬Ëã·¨: 7.9 + ==================*/ + +#ifndef MINIMUMSPANNINGTREE_H +#define MINIMUMSPANNINGTREE_H + +#include +#include // ÌṩINT_MAXºê +#include "SqQueue.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// +#include "MFSet.h" //**¡ø06 Ê÷ºÍ¶þ²æÊ÷**// +#include "CSTree.h" //**¡ø06 Ê÷ºÍ¶þ²æÊ÷**// +#include "Graph.h" + +/* + * ʹÓÿ˳˹¿¨¶ûËã·¨ÇóÈ¡×îСÉú³ÉÊ÷ + */ +CSTree MinSpanTree_KRUSKAL(Graph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.33/SqQueue.cpp b/Dev-C++/ExerciseBook/07.33/SqQueue.cpp new file mode 100644 index 0000000..1d385f5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/SqQueue.cpp @@ -0,0 +1,147 @@ +/*============================= + * ¶ÓÁеÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò¶ÓÁУ© + ==============================*/ + +#include "SqQueue.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄ˳Ðò¶ÓÁС£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁÐÊÇÑ­»·¶ÓÁÐ + */ +Status InitQueue(SqQueue* Q) { + if(Q == NULL) { + return ERROR; + } + + (*Q).base = (QElemType*) malloc(MAXQSIZE * sizeof(QElemType)); + if(!(*Q).base) { + exit(OVERFLOW); + } + + (*Q).front = (*Q).rear = 0; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏÑ­»·Ë³Ðò¶ÓÁÐÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Ñ­»·Ë³Ðò¶ÓÁÐΪ¿Õ + * FALSE: Ñ­»·Ë³Ðò¶ÓÁв»Îª¿Õ + */ +Status QueueEmpty(SqQueue Q) { + // ¶ÓÁпյıêÖ¾ + if(Q.front == Q.rear) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * ¼ÆÊý + * + * ·µ»ØÑ­»·Ë³Ðò¶ÓÁаüº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int QueueLength(SqQueue Q) { + if(Q.base == NULL) { + return 0; + } + + // ¶ÓÁг¤¶È + return (Q.rear - Q.front + MAXQSIZE) % MAXQSIZE; +} + +/* + * È¡Öµ + * + * »ñÈ¡¶ÓÍ·ÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + */ +Status GetHead(SqQueue Q, QElemType* e) { + // ¶ÓÁпյıêÖ¾ + if(Q.base == NULL || Q.front == Q.rear) { + return ERROR; + } + + *e = Q.base[Q.front]; + + return OK; +} + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(SqQueue* Q, QElemType e) { + if(Q == NULL || (*Q).base == NULL) { + return ERROR; + } + + // ¶ÓÁÐÂúµÄ±êÖ¾£¨»áÀË·ÑÒ»¸ö¿Õ¼äÀ´Çø·Ö¶ÓÁпպͶÓÁÐÂú£© + if(((*Q).rear + 1) % MAXQSIZE == (*Q).front) { + return ERROR; + } + + // Èë¶Ó + (*Q).base[(*Q).rear] = e; + + // βָÕëÇ°½ø + (*Q).rear = ((*Q).rear + 1) % MAXQSIZE; + + return OK; +} + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(SqQueue* Q, QElemType* e) { + if(Q == NULL || (*Q).base == NULL) { + return ERROR; + } + + // ¶ÓÁпյıêÖ¾ + if((*Q).front == (*Q).rear) { + return ERROR; + } + + // ³ö¶Ó + *e = (*Q).base[(*Q).front]; + + // Í·Ö¸ÕëÇ°½ø + (*Q).front = ((*Q).front + 1) % MAXQSIZE; + + return OK; +} + +/* + * ±éÀú + * + * ÓÃvisitº¯Êý·ÃÎʶÓÁÐQ + */ +Status QueueTraverse(SqQueue Q, void(Visit)(QElemType)) { + int i; + + if(Q.base == NULL) { + return ERROR; + } + + for(i = Q.front; i != Q.rear; i = (i + 1) % MAXQSIZE) { + Visit(Q.base[i]); + } + + printf("\n"); + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.33/SqQueue.h b/Dev-C++/ExerciseBook/07.33/SqQueue.h new file mode 100644 index 0000000..f739aee --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/SqQueue.h @@ -0,0 +1,84 @@ +/*============================= + * ¶ÓÁеÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò¶ÓÁУ© + ==============================*/ + +#ifndef SQQUEUE_H +#define SQQUEUE_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define MAXQSIZE 1000 //×î´ó¶ÓÁг¤¶È + +/* Ñ­»·¶ÓÁÐÔªËØÀàÐͶ¨Òå */ +typedef int QElemType; + +// Ñ­»·¶ÓÁеÄ˳Ðò´æ´¢½á¹¹ +typedef struct { + QElemType* base; // ¶¯Ì¬·ÖÅä´æ´¢¿Õ¼ä + int front; // Í·Ö¸Õ룬Èô¶ÓÁв»¿Õ£¬Ö¸Ïò¶ÓÍ·ÔªËØ + int rear; // βָÕ룬Èô¶ÓÁв»¿Õ£¬Ö¸Ïò¶ÓÁÐβԪËصÄÏÂÒ»¸öλÖà +} SqQueue; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄ˳Ðò¶ÓÁС£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁÐÊÇÑ­»·¶ÓÁÐ + */ +Status InitQueue(SqQueue* Q); + +/* + * ÅÐ¿Õ + * + * ÅжÏÑ­»·Ë³Ðò¶ÓÁÐÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Ñ­»·Ë³Ðò¶ÓÁÐΪ¿Õ + * FALSE: Ñ­»·Ë³Ðò¶ÓÁв»Îª¿Õ + */ +Status QueueEmpty(SqQueue Q); + +/* + * ¼ÆÊý + * + * ·µ»ØÑ­»·Ë³Ðò¶ÓÁаüº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int QueueLength(SqQueue Q); + +/* + * È¡Öµ + * + * »ñÈ¡¶ÓÍ·ÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + */ +Status GetHead(SqQueue Q, QElemType* e); + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(SqQueue* Q, QElemType e); + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(SqQueue* Q, QElemType* e); + +/* + * ±éÀú + * + * ÓÃvisitº¯Êý·ÃÎʶÓÁÐQ + */ +Status QueueTraverse(SqQueue Q, void(Visit)(QElemType)); + +#endif diff --git a/Dev-C++/ExerciseBook/07.33/TestData_UDN.txt b/Dev-C++/ExerciseBook/07.33/TestData_UDN.txt new file mode 100644 index 0000000..2f18fe7 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.33/TestData_UDN.txt @@ -0,0 +1,4 @@ +¶¥µãÊý¡ú6 +±ßÊý¡ú10 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬6¡¿¡¾A£¬C£¬1¡¿¡¾A£¬D£¬5¡¿¡¾B£¬C£¬5¡¿¡¾B£¬E£¬3¡¿¡¾C£¬D£¬5¡¿¡¾C£¬E£¬6¡¿¡¾C£¬F£¬4¡¿¡¾D£¬F£¬2¡¿¡¾E£¬F£¬6¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.34/07.34.cpp b/Dev-C++/ExerciseBook/07.34/07.34.cpp new file mode 100644 index 0000000..3047d0f --- /dev/null +++ b/Dev-C++/ExerciseBook/07.34/07.34.cpp @@ -0,0 +1,131 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// +#include "TopologicalSorting.h" //**¡ø07 ͼ**// + +/* + * ¶ÔÓÐÏòÎÞ»·Í¼ÖеĶ¥µãÊʵ±µØ±àºÅ£¬Ê¹ÆäËùÓл¡vi->vjÂú×ãivjÂú×ãiadjvex]] = 1; + p = p->nextarc; + } + } + + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vertices[topo[i]].data); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[topo[i]].data); + + for(j = 0; j < G.vexnum; j++) { + if(adjs[i][j] == 0) { + printf(" -"); + } else { + printf("%3d", adjs[i][j]); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.34/07.34.dev b/Dev-C++/ExerciseBook/07.34/07.34.dev new file mode 100644 index 0000000..8517f51 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.34/07.34.dev @@ -0,0 +1,131 @@ +[Project] +FileName=07.34.dev +Name=07.34 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 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·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.34/ALGraph.h b/Dev-C++/ExerciseBook/07.34/ALGraph.h new file mode 100644 index 0000000..e70b2c2 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.34/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.34/SqStack.cpp b/Dev-C++/ExerciseBook/07.34/SqStack.cpp new file mode 100644 index 0000000..f056778 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.34/SqStack.cpp @@ -0,0 +1,90 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // Õ»Âúʱ£¬×·¼Ó´æ´¢¿Õ¼ä + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // ´æ´¢·ÖÅäʧ°Ü + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // ½øÕ»Ïȸ³Öµ£¬Õ»¶¥Ö¸ÕëÔÙ×ÔÔö + *(S->top++) = e; + + return OK; +} + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // ³öÕ»Õ»¶¥Ö¸ÕëÏȵݼõ£¬ÔÙ¸³Öµ + *e = *(--(*S).top); + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.34/SqStack.h b/Dev-C++/ExerciseBook/07.34/SqStack.h new file mode 100644 index 0000000..a8fe835 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.34/SqStack.h @@ -0,0 +1,59 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define STACK_INIT_SIZE 100 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define STACKINCREMENT 10 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳ÐòÕ»ÔªËØÀàÐͶ¨Òå */ +typedef int SElemType; + +// ˳ÐòÕ»ÔªËؽṹ +typedef struct { + SElemType* base; // Õ»µ×Ö¸Õë + SElemType* top; // Õ»¶¥Ö¸Õë + int stacksize; // µ±Ç°ÒÑ·ÖÅäµÄ´æ´¢¿Õ¼ä£¬ÒÔÔªËØΪµ¥Î» +} SqStack; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S); + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S); + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e); + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/Dev-C++/ExerciseBook/07.34/TestData_DG.txt b/Dev-C++/ExerciseBook/07.34/TestData_DG.txt new file mode 100644 index 0000000..a240ed8 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.34/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú16 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾F£¬J¡¿¡¾F£¬B¡¿¡¾F£¬C¡¿¡¾F£¬A¡¿¡¾B£¬C¡¿¡¾J£¬I¡¿¡¾C£¬I¡¿¡¾C£¬H¡¿¡¾I£¬H¡¿¡¾C£¬G¡¿¡¾D£¬A¡¿¡¾D£¬L¡¿¡¾L£¬A¡¿¡¾D£¬K¡¿¡¾K£¬E¡¿¡¾E£¬G¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.34/TopologicalSorting.cpp b/Dev-C++/ExerciseBook/07.34/TopologicalSorting.cpp new file mode 100644 index 0000000..82001f5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.34/TopologicalSorting.cpp @@ -0,0 +1,96 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#include "TopologicalSorting.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + * + * ×¢£ºÓë½Ì²Ä²»Í¬Ö®´¦ÔÚÓÚ£¬´Ë´¦Ôö¼ÓÁËÒ»¸ötopoÊý×é×ö²ÎÊý¡£ + * ¡¡¡¡¶ÔÓÚÇó³öµÄÍØÆËÐòÁУ¬²»»áÖ±½ÓÊä³ö£¬¶øÊǻỺ´æµ½topoÖС£ + * ¡¡¡¡ÕâÑùµÄ×öµÄÄ¿µÄÊǺóÐøµÄÏ°ÌâÖлáÓжദÓõ½¸ÃÍØÆËÐòÁС£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, k, count; + int indegree[MAX_VERTEX_NUM]; + SqStack S; + ArcNode* p; + + // ¶Ô¸÷¶¥µãÇóÈë¶È + FindInDegree(G, indegree); + + // ³õʼ»¯ÁãÈë¶È¶¥µãÕ» + InitStack(&S); + + // ½¨Á¢Èë¶ÈΪ0µÄ¶¥µãÕ» + for(i = 0; i < G.vexnum; i++) { + // ½«Èë¶ÈΪ0µÄ¶¥µãÌí¼Óµ½Õ»ÖÐ + if(indegree[i] == 0) { + Push(&S, i); + } + } + + // ¶ÔÍØÆËÐòÁÐÖеĶ¥µã¼ÆÊý + count = 0; + + // ±éÀú¶¥µãÕ» + while(!StackEmpty(S)) { + // »ñÈ¡Ò»¸öÁãÈë¶È¶¥µã + Pop(&S, &i); + + // ½«¸÷¶¥µãµÄÐòºÅÔÝ´æÆðÀ´ + topo[count++] = i; + + // ±éÀúiºÅ¶¥µãµÄÁÚ½Óµã + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // »ñÈ¡¶¥µãÐòºÅ + k = p->adjvex; + + /* + * ½«iºÅ¶¥µãÿ¸öÁÚ½ÓµãµÄÈë¶È¼õÒ»£¬ÕâÏ൱ÓÚÇжÎiºÅ¶¥µãµ½ÆäËüÁÚ½ÓµãµÄÁªÏµ¡£ + * Èç¹û³öÏÖÁËеÄÈë¶ÈΪ0µÄ¶¥µã£¬¼ÌÐø½«ÆäÈëÕ»¡£ + */ + if((--indegree[k]) == 0) { + Push(&S, k); + } + } + } + + // Èç¹ûÓöµ½Á˻ط£¬Ôò·µ»ØERROR + if(count < G.vexnum) { + return ERROR; + } else { + return OK; + } +} + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]) { + int i; + ArcNode* p; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // ±éÀú¸Ã¶¥µãµÄËùÓÐÁڽӵ㣬ͳ¼Æ¸÷¶¥µãµÄÈë¶È + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } +} diff --git a/Dev-C++/ExerciseBook/07.34/TopologicalSorting.h b/Dev-C++/ExerciseBook/07.34/TopologicalSorting.h new file mode 100644 index 0000000..3fae677 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.34/TopologicalSorting.h @@ -0,0 +1,28 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#ifndef TOPOLOGICALSORTING_H +#define TOPOLOGICALSORTING_H + +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]); + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]); + +#endif diff --git a/Dev-C++/ExerciseBook/07.35/07.35.cpp b/Dev-C++/ExerciseBook/07.35/07.35.cpp new file mode 100644 index 0000000..3358ebe --- /dev/null +++ b/Dev-C++/ExerciseBook/07.35/07.35.cpp @@ -0,0 +1,94 @@ +#include +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ·µ»ØÓÐÏòÎÞ»·Í¼µÄ¸ùÔÚ¶¥µãÏòÁ¿ÖеÄÐòºÅ£¬Èç¹û²»´æÔÚ£¬·µ»Ø-1¡£ + * + * ×¢£ºÈç¹û¸ù½áµã´æÔÚ£¬ÔòÒâζןøù½áµãµÄÈë¶ÈÒ»¶¨Îª0¡£ + * ¡¡¡¡ÒòΪÈç¹û¸ùµÄÈë¶È²»Îª0£¬ÄÇô±Ø¶¨»áÐγɻ·¡£ + * ¡¡¡¡Òò´Ë£¬±¾Ìâ±¾ÖÊÉϾÍÊÇÑ°ÕÒÓÐÏòÎÞ»·Í¼ÖÐÈë¶ÈΪ0µÄÄǸö¶¥µã¡£ + */ +int Algo_7_35(ALGraph G); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒÓÐÏòÎÞ»·Í¼µÄ¸ù...\n"); + { + int r = Algo_7_35(G); + + if(r == -1) { + printf("¸ø¶¨µÄÓÐÏòͼÎÞ»·Í¼²»´æÔÚ¸ù\n"); + } else { + printf("¸ÃÓÐÏòÎÞ»·Í¼µÄ¸ùΪ£º%c\n", G.vertices[r].data); + } + + printf("\n"); + } + + return 0; +} + + +/* + * ·µ»ØÓÐÏòÎÞ»·Í¼µÄ¸ùÔÚ¶¥µãÏòÁ¿ÖеÄÐòºÅ£¬Èç¹û²»´æÔÚ£¬·µ»Ø-1 + * + * ×¢£ºÈç¹û¸ù½áµã´æÔÚ£¬ÔòÒâζןøù½áµãµÄÈë¶ÈÒ»¶¨Îª0¡£ + * ¡¡¡¡ÒòΪÈç¹û¸ùµÄÈë¶È²»Îª0£¬ÄÇô±Ø¶¨»áÐγɻ·¡£ + * ¡¡¡¡Òò´Ë£¬±¾Ìâ±¾ÖÊÉϾÍÊÇÑ°ÕÒÓÐÏòÎÞ»·Í¼ÖÐÈë¶ÈΪ0µÄÄǸö¶¥µã¡£ + */ +int Algo_7_35(ALGraph G) { + int i, count, root; + int indegree[MAX_VERTEX_NUM]; + ArcNode* p; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // ±éÀú¸Ã¶¥µãµÄËùÓÐÁڽӵ㣬ͳ¼Æ¸÷¶¥µãµÄÈë¶È + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } + + // ͳ¼ÆÈë¶ÈΪ0µÄ¶¥µãÊýÁ¿ + count = 0; + root = -1; + + for(i = 0; i < G.vexnum; i++) { + if(indegree[i] == 0) { + count++; + root = i; + } + } + + // ×î¶àÖ»ÓÐÒ»¸ö¸ù + if(count==1) { + return root; + } else { + return -1; + } +} diff --git a/Dev-C++/ExerciseBook/07.35/07.35.dev b/Dev-C++/ExerciseBook/07.35/07.35.dev new file mode 100644 index 0000000..81c2aa4 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.35/07.35.dev @@ -0,0 +1,91 @@ +[Project] +FileName=07.35.dev +Name=07.35 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= 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+ +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.35/ALGraph.h b/Dev-C++/ExerciseBook/07.35/ALGraph.h new file mode 100644 index 0000000..e70b2c2 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.35/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.35/TestData_DG.txt b/Dev-C++/ExerciseBook/07.35/TestData_DG.txt new file mode 100644 index 0000000..777c5ed --- /dev/null +++ b/Dev-C++/ExerciseBook/07.35/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú17 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾F£¬J¡¿¡¾F£¬B¡¿¡¾F£¬C¡¿¡¾F£¬A¡¿¡¾B£¬C¡¿¡¾J£¬I¡¿¡¾C£¬I¡¿¡¾C£¬H¡¿¡¾I£¬H¡¿¡¾C£¬G¡¿¡¾D£¬A¡¿¡¾D£¬L¡¿¡¾L£¬A¡¿¡¾D£¬K¡¿¡¾K£¬E¡¿¡¾E£¬G¡¿¡¾F£¬D¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.36-07.37/07.36-07.37.cpp b/Dev-C++/ExerciseBook/07.36-07.37/07.36-07.37.cpp new file mode 100644 index 0000000..842d566 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.36-07.37/07.36-07.37.cpp @@ -0,0 +1,167 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// +#include "TopologicalSorting.h" //**¡ø07 ͼ**// + +/* + * ÇóÓÐÏòÎÞ»·Í¼¸÷¶¥µãµÄ×·¾¶¡£ + * + * ¿ÉÒÔ½èÖúÆäÍØÆËÐòÁУ¬´ÓºóÏòÇ°±éÀú¸÷¶¥µãÀ´¼ÆËã×·¾¶£¬ + * Ô­ÀíÊǶÔÓÚÈÎÒ»¶¥µã³ö·¢µÄ×·¾¶p1£¬ÆäÁÚ½ÓµãµÄ×·¾¶p2Ò²±Ø¶¨ÔÚ×·¾¶p1ÉÏ£¬ + * ¼´£ºÄ³¶¥µãµÄ×·¾¶ = max{ÁÚ½ÓµãµÄ×·¾¶} + * + * ÕâÀïûÓн«MPLÓòÖ±½ÓдÔÚALGraph½á¹¹ÖУ¬¶øÊǽ«Æäµ¥¶À×÷Ϊһ¸öÊý×éÈ¡ÉùÃ÷£¬ÔÚºËÐÄËã·¨ÉÏûÓÐÈκÎÇø±ð¡£ + */ +void Algo_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]); + +/* + * ´òÓ¡¸÷¶¥µãµÄ×·¾¶ + */ +static void PrintPath_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]); + +/* + * ÇóÈ¡ÓÐÏòÎÞ»·Í¼µÄ×·¾¶ + */ +void Algo_7_37(ALGraph G, int mpl[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Ìâ7.36£ºÇóÈ¡ÓÐÏòÎÞ»·Í¼¸÷¶¥µãµÄ×·¾¶...\n"); + { + int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]; + + Algo_7_36(G, MPL); + PrintPath_7_36(G, MPL); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Ìâ7.37£ºÇóÈ¡ÓÐÏòÎÞ»·Í¼ÖеÄ×·¾¶...\n"); + { + int mpl[MAX_VERTEX_NUM + 1]; + int i; + + Algo_7_37(G, mpl); + for(i = 1; i <= mpl[0] + 1; i++) { + printf("%c ", G.vertices[mpl[i]].data); + } + printf("\n"); + } + + return 0; +} + + +/* + * ÇóÓÐÏòÎÞ»·Í¼¸÷¶¥µãµÄ×·¾¶¡£ + * + * ¿ÉÒÔ½èÖúÆäÍØÆËÐòÁУ¬´ÓºóÏòÇ°±éÀú¸÷¶¥µãÀ´¼ÆËã×·¾¶£¬ + * Ô­ÀíÊǶÔÓÚÈÎÒ»¶¥µã³ö·¢µÄ×·¾¶p1£¬ÆäÁÚ½ÓµãµÄ×·¾¶p2Ò²±Ø¶¨ÔÚ×·¾¶p1ÉÏ£¬ + * ¼´£ºÄ³¶¥µãµÄ×·¾¶³¤¶È = max{ÁÚ½ÓµãµÄ×·¾¶³¤¶È} + 1 + * + * ÕâÀïûÓн«MPLÓòÖ±½ÓдÔÚALGraph½á¹¹ÖУ¬¶øÊǽ«Æäµ¥¶À×÷Ϊһ¸öÊý×éÈ¡ÉùÃ÷£¬ÔÚºËÐÄËã·¨ÉÏûÓÐÈκÎÇø±ð¡£ + */ +void Algo_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]) { + int i, j, v, w; + int max, k; + int topo[MAX_VERTEX_NUM]; + ArcNode* p; + + if(TopologicalSort(G, topo) == ERROR) { + printf("¸ø¶¨µÄÓÐÏòͼ´æÔڻط£¬ÎÞ·¨»ñÈ¡ÆäÍØÆËÐòÁÐ...\n"); + return; + } + + // ÄæÐò±éÀúÍØÆËÐòÁÐ + for(i = G.vexnum - 1; i >= 0; i--) { + v = topo[i]; + + MPL[v][0] = 0; // 0ºÅµ¥Ôª´æ´¢Â·¾¶³¤¶È + MPL[v][1] = v; // 1ºÅµ¥Ôª´æ´¢Â·¾¶µÄÆðʼ¶¥µãÐòºÅ + + p = G.vertices[v].firstarc; + + // ¶ÔÓÚûÓÐÁÚ½ÓµãµÄ¶¥µã£¬Æä×·¾¶³¤¶ÈΪ0£¬ÎÞÐèÔÙÑо¿ÏÂÈ¥ + if(p == NULL) { + continue; + } + + max = -1; // ÁÚ½ÓµãÖÐ×î´ó·¾¶³¤¶È + k = -1; // ¼Ç¼ӵÓÐ×î´ó·¾¶³¤¶ÈµÄÁÚ½ÓµãµÄÐòºÅ + + // ±éÀúÁÚ½Óµã + while(p != NULL) { + w = p->adjvex; // ÁÚ½ÓµãÐòºÅ + + // Èç¹ûÓжàÌõÏàͬ³¤¶ÈµÄ·¾¶£¬ÔòֻȡÊ×ÏÈ·¢ÏÖµÄÒ»Ìõ + if(MPL[w][0] > max) { + max = MPL[w][0]; + k = w; + } + + p = p->nextarc; + } + + // ¶¥µã×·¾¶³¤¶È = max{ÁÚ½ÓµãµÄ×·¾¶³¤¶È} + 1 + MPL[v][0] = max + 1; + + // ½«ÁÚ½Óµã³ö·¢µÄ×·¾¶¸´ÖƵ½µ±Ç°¶¥µãµÄ×·¾¶ÉÏ + for(j = 1; j <= max + 1; j++) { + MPL[v][j + 1] = MPL[k][j]; + } + } +} + +/* + * ´òÓ¡¸÷¶¥µãµÄ×·¾¶ + */ +static void PrintPath_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]) { + int i, j; + + for(i = 0; i < G.vexnum; i++) { + printf("´Ó¶¥µã %c ³ö·¢µÄ×·¾¶Îª£º", G.vertices[i].data); + for(j = 1; j <= MPL[i][0] + 1; j++) { + printf("%c ", G.vertices[MPL[i][j]].data); + } + printf("\n"); + } +} + +/* + * ÇóÈ¡ÓÐÏòÎÞ»·Í¼µÄ×·¾¶ + */ +void Algo_7_37(ALGraph G, int mpl[MAX_VERTEX_NUM + 1]) { + int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]; + int i, max, k; + + // ÇóÈ¡ËùÓж¥µãµÄ×·¾¶ + Algo_7_36(G, MPL); + + max = -1; + + for(i = 0; i < G.vexnum; i++) { + if(MPL[i][0] > max) { + max = MPL[i][0]; + k = i; + } + } + + for(i = 0; i <= MPL[k][0] + 1; i++) { + mpl[i] = MPL[k][i]; + } +} diff --git a/Dev-C++/ExerciseBook/07.36-07.37/07.36-07.37.dev b/Dev-C++/ExerciseBook/07.36-07.37/07.36-07.37.dev new file mode 100644 index 0000000..29de9ec --- /dev/null +++ b/Dev-C++/ExerciseBook/07.36-07.37/07.36-07.37.dev @@ -0,0 +1,131 @@ +[Project] +FileName=07.36-07.37.dev +Name=07.36-07.37 +Type=1 +Ver=2 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FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.36-07.37/ALGraph.h b/Dev-C++/ExerciseBook/07.36-07.37/ALGraph.h new file mode 100644 index 0000000..e70b2c2 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.36-07.37/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.36-07.37/SqStack.cpp b/Dev-C++/ExerciseBook/07.36-07.37/SqStack.cpp new file mode 100644 index 0000000..f056778 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.36-07.37/SqStack.cpp @@ -0,0 +1,90 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // Õ»Âúʱ£¬×·¼Ó´æ´¢¿Õ¼ä + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // ´æ´¢·ÖÅäʧ°Ü + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // ½øÕ»Ïȸ³Öµ£¬Õ»¶¥Ö¸ÕëÔÙ×ÔÔö + *(S->top++) = e; + + return OK; +} + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // ³öÕ»Õ»¶¥Ö¸ÕëÏȵݼõ£¬ÔÙ¸³Öµ + *e = *(--(*S).top); + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.36-07.37/SqStack.h b/Dev-C++/ExerciseBook/07.36-07.37/SqStack.h new file mode 100644 index 0000000..a8fe835 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.36-07.37/SqStack.h @@ -0,0 +1,59 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define STACK_INIT_SIZE 100 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define STACKINCREMENT 10 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳ÐòÕ»ÔªËØÀàÐͶ¨Òå */ +typedef int SElemType; + +// ˳ÐòÕ»ÔªËؽṹ +typedef struct { + SElemType* base; // Õ»µ×Ö¸Õë + SElemType* top; // Õ»¶¥Ö¸Õë + int stacksize; // µ±Ç°ÒÑ·ÖÅäµÄ´æ´¢¿Õ¼ä£¬ÒÔÔªËØΪµ¥Î» +} SqStack; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S); + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S); + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e); + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/Dev-C++/ExerciseBook/07.36-07.37/TestData_DG.txt b/Dev-C++/ExerciseBook/07.36-07.37/TestData_DG.txt new file mode 100644 index 0000000..a240ed8 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.36-07.37/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú16 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾F£¬J¡¿¡¾F£¬B¡¿¡¾F£¬C¡¿¡¾F£¬A¡¿¡¾B£¬C¡¿¡¾J£¬I¡¿¡¾C£¬I¡¿¡¾C£¬H¡¿¡¾I£¬H¡¿¡¾C£¬G¡¿¡¾D£¬A¡¿¡¾D£¬L¡¿¡¾L£¬A¡¿¡¾D£¬K¡¿¡¾K£¬E¡¿¡¾E£¬G¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.36-07.37/TopologicalSorting.cpp b/Dev-C++/ExerciseBook/07.36-07.37/TopologicalSorting.cpp new file mode 100644 index 0000000..82001f5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.36-07.37/TopologicalSorting.cpp @@ -0,0 +1,96 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#include "TopologicalSorting.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + * + * ×¢£ºÓë½Ì²Ä²»Í¬Ö®´¦ÔÚÓÚ£¬´Ë´¦Ôö¼ÓÁËÒ»¸ötopoÊý×é×ö²ÎÊý¡£ + * ¡¡¡¡¶ÔÓÚÇó³öµÄÍØÆËÐòÁУ¬²»»áÖ±½ÓÊä³ö£¬¶øÊǻỺ´æµ½topoÖС£ + * ¡¡¡¡ÕâÑùµÄ×öµÄÄ¿µÄÊǺóÐøµÄÏ°ÌâÖлáÓжദÓõ½¸ÃÍØÆËÐòÁС£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, k, count; + int indegree[MAX_VERTEX_NUM]; + SqStack S; + ArcNode* p; + + // ¶Ô¸÷¶¥µãÇóÈë¶È + FindInDegree(G, indegree); + + // ³õʼ»¯ÁãÈë¶È¶¥µãÕ» + InitStack(&S); + + // ½¨Á¢Èë¶ÈΪ0µÄ¶¥µãÕ» + for(i = 0; i < G.vexnum; i++) { + // ½«Èë¶ÈΪ0µÄ¶¥µãÌí¼Óµ½Õ»ÖÐ + if(indegree[i] == 0) { + Push(&S, i); + } + } + + // ¶ÔÍØÆËÐòÁÐÖеĶ¥µã¼ÆÊý + count = 0; + + // ±éÀú¶¥µãÕ» + while(!StackEmpty(S)) { + // »ñÈ¡Ò»¸öÁãÈë¶È¶¥µã + Pop(&S, &i); + + // ½«¸÷¶¥µãµÄÐòºÅÔÝ´æÆðÀ´ + topo[count++] = i; + + // ±éÀúiºÅ¶¥µãµÄÁÚ½Óµã + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // »ñÈ¡¶¥µãÐòºÅ + k = p->adjvex; + + /* + * ½«iºÅ¶¥µãÿ¸öÁÚ½ÓµãµÄÈë¶È¼õÒ»£¬ÕâÏ൱ÓÚÇжÎiºÅ¶¥µãµ½ÆäËüÁÚ½ÓµãµÄÁªÏµ¡£ + * Èç¹û³öÏÖÁËеÄÈë¶ÈΪ0µÄ¶¥µã£¬¼ÌÐø½«ÆäÈëÕ»¡£ + */ + if((--indegree[k]) == 0) { + Push(&S, k); + } + } + } + + // Èç¹ûÓöµ½Á˻ط£¬Ôò·µ»ØERROR + if(count < G.vexnum) { + return ERROR; + } else { + return OK; + } +} + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]) { + int i; + ArcNode* p; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // ±éÀú¸Ã¶¥µãµÄËùÓÐÁڽӵ㣬ͳ¼Æ¸÷¶¥µãµÄÈë¶È + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } +} diff --git a/Dev-C++/ExerciseBook/07.36-07.37/TopologicalSorting.h b/Dev-C++/ExerciseBook/07.36-07.37/TopologicalSorting.h new file mode 100644 index 0000000..3fae677 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.36-07.37/TopologicalSorting.h @@ -0,0 +1,28 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#ifndef TOPOLOGICALSORTING_H +#define TOPOLOGICALSORTING_H + +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]); + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]); + +#endif diff --git a/Dev-C++/ExerciseBook/07.38/07.38.cpp b/Dev-C++/ExerciseBook/07.38/07.38.cpp new file mode 100644 index 0000000..3f82ce7 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.38/07.38.cpp @@ -0,0 +1,110 @@ +#include +#include "SqList.h" +#include "ALGraph.h" + +/* + * »ñÈ¡´æ´¢ÔÚÓÐÏòÎÞ»·Í¼Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.23 + */ +void Algo_7_38(ALGraph G); + +/* + * ´Ó¶¥µãv³ö·¢»ñÈ¡ÓÐÏòͼÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½¡£ + * ÇóÈ¡µÄÄ沨À¼Ê½»á´æ´¢ÔÚRPNÖС£ + */ +static void AntiPolandFormula_7_38(ALGraph G, int v, SqList* RPN); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡ÓÐÏòÍø... \n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ÇóÈ¡ÓÐÏòÍøÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½... \n"); + { + Algo_7_38(G); + printf("\n"); + } + + return 0; +} + + +/* + * »ñÈ¡´æ´¢ÔÚÓÐÏòÎÞ»·Í¼Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.23 + */ +void Algo_7_38(ALGraph G) { + int i, root; + int indegree[MAX_VERTEX_NUM]; // ËùÓж¥µãµÄÈë¶ÈÐÅÏ¢ + ArcNode* p; + SqList RPN; // ´æ´¢Ä沨À¼±í´ïʽ + ElemType e; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // ±éÀú¸Ã¶¥µãµÄËùÓÐÁڽӵ㣬ͳ¼Æ¸÷¶¥µãµÄÈë¶È + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } + + // ²éÕÒµ½¸ù½áµã + for(i = 0; i < G.vexnum; i++) { + if(indegree[i] == 0) { + root = i; + break; + } + } + + // ³õʼ»¯³¤¶ÈΪ0µÄÏßÐÔ±í + InitList(&RPN); + + // ´ÓÓÐÏòÎÞ»·Í¼µÄ¸ù½áµã³ö·¢£¬Í¨¹ýβµÝ¹é»ñÈ¡µ½ÆäÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½ + AntiPolandFormula_7_38(G, root, &RPN); + + for(i = 1; i <= ListLength(RPN); i++) { + GetElem(RPN, i, &e); + printf("%c", ops[e]); + } + printf("\n"); +} + +/* + * ´Ó¶¥µãv³ö·¢»ñÈ¡ÓÐÏòͼÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½¡£ + * ÇóÈ¡µÄÄ沨À¼Ê½»á´æ´¢ÔÚRPNÖС£ + */ +void AntiPolandFormula_7_38(ALGraph G, int v, SqList* RPN) { + ArcNode* r; + + // ÏȱéÀúÁÚ½Óµã + for(r = G.vertices[v].firstarc; r != NULL; r = r->nextarc) { + AntiPolandFormula_7_38(G, r->adjvex, RPN); + } + + // µ±Ã»ÓÐÁÚ½Óµã¿É±éÀúʱ£¬´æ´¢¸Ã¶¥µã + ListInsert(RPN, ListLength(*RPN) + 1, v); +} diff --git a/Dev-C++/ExerciseBook/07.38/07.38.dev b/Dev-C++/ExerciseBook/07.38/07.38.dev new file mode 100644 index 0000000..57573fe --- /dev/null +++ b/Dev-C++/ExerciseBook/07.38/07.38.dev @@ -0,0 +1,111 @@ +[Project] +FileName=07.38.dev +Name=07.38 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 +UnitCount=6 + +[VersionInfo] +Major=1 +Minor=0 +Release=0 +Build=0 +LanguageID=1033 +CharsetID=1252 +CompanyName= +FileVersion= +FileDescription=Developed using the Dev-C++ IDE +InternalName= +LegalCopyright= +LegalTrademarks= +OriginalFilename= +ProductName= +ProductVersion= +AutoIncBuildNr=0 +SyncProduct=1 + +[Unit1] +FileName=07.38.cpp +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit2] +FileName=ALGraph.cpp +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit3] +FileName=ALGraph.h +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit4] +FileName=SqList.cpp +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit5] +FileName=SqList.h +CompileCpp=0 +Folder= +Compile=1 +Link=1 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + +[Unit6] +FileName=TestData_DG.txt +Folder= +Compile=0 +Link=0 +Priority=1000 +OverrideBuildCmd=0 +BuildCmd= + diff --git a/Dev-C++/ExerciseBook/07.38/07.38.png b/Dev-C++/ExerciseBook/07.38/07.38.png new file mode 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a/Dev-C++/ExerciseBook/07.38/ALGraph.cpp b/Dev-C++/ExerciseBook/07.38/ALGraph.cpp new file mode 100644 index 0000000..263a869 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.38/ALGraph.cpp @@ -0,0 +1,344 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + +// Ó붥µãÒ»Ò»¶ÔÓ¦µÄ²Ù×÷ÊýÓë²Ù×÷·û +char ops[MAX_VERTEX_NUM]; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ¼ÈëÓ붥µã¶ÔÓ¦µÄ²Ù×÷ÊýÓë²Ù×÷·û + if(fp == NULL) { + printf("Çë¼Èë %d ¸öÓ붥µãÒ»Ò»¶ÔÓ¦µÄ²Ù×÷Êý/²Ù×÷·û£¬²»Í¬²Ù×÷Êý/²Ù×÷·ûÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &(ops[i])); + } + } else { + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &(ops[i])); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.38/ALGraph.h b/Dev-C++/ExerciseBook/07.38/ALGraph.h new file mode 100644 index 0000000..2656c16 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.38/ALGraph.h @@ -0,0 +1,131 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + +// Ó붥µãÒ»Ò»¶ÔÓ¦µÄ²Ù×÷ÊýÓë²Ù×÷·û +extern char ops[MAX_VERTEX_NUM]; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.38/SqList.cpp b/Dev-C++/ExerciseBook/07.38/SqList.cpp new file mode 100644 index 0000000..623d818 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.38/SqList.cpp @@ -0,0 +1,114 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#include "SqList.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L) { + // ·ÖÅäÖ¸¶¨ÈÝÁ¿µÄÄڴ棬Èç¹û·ÖÅäʧ°Ü£¬Ôò·µ»ØNULL + (*L).elem = (ElemType*) malloc(LIST_INIT_SIZE * sizeof(ElemType)); + if((*L).elem == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + (*L).length = 0; // ³õʼ»¯Ë³Ðò±í³¤¶ÈΪ0 + (*L).listsize = LIST_INIT_SIZE; // ˳Ðò±í³õʼÄÚ´æ·ÖÅäÁ¿ + + return OK; // ³õʼ»¯³É¹¦ +} + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L) { + return L.length; +} + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e) { + // ÒòΪiµÄº¬ÒåÊÇλÖã¬ËùÒÔÆäºÏ·¨·¶Î§ÊÇ£º[1, length] + if(i < 1 || i > L.length) { + return ERROR; //iÖµ²»ºÏ·¨ + } + + *e = L.elem[i - 1]; + + return OK; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e) { + ElemType* newbase; + ElemType* p, * q; + + // È·±£Ë³Ðò±í½á¹¹´æÔÚ + if(L == NULL || (*L).elem == NULL) { + return ERROR; + } + + // iÖµÔ½½ç + if(i < 1 || i > (*L).length + 1) { + return ERROR; + } + + // Èô´æ´¢¿Õ¼äÒÑÂú£¬ÔòÔö¼Óпռä + if((*L).length >= (*L).listsize) { + // »ùÓÚÏÖÓпռäÀ©ÈÝ + newbase = (ElemType*) realloc((*L).elem, ((*L).listsize + LISTINCREMENT) * sizeof(ElemType)); + if(newbase == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + // лùÖ· + (*L).elem = newbase; + // ´æµÄ´æ´¢¿Õ¼ä + (*L).listsize += LISTINCREMENT; + } + + // qΪ²åÈëλÖà + q = &(*L).elem[i - 1]; + + // 1.ÓÒÒÆÔªËØ£¬ÌÚ³öλÖà + for(p = &(*L).elem[(*L).length - 1]; p >= q; --p) { + *(p + 1) = *p; + } + + // 2.²åÈëe + *q = e; + + // 3.±í³¤Ôö1 + (*L).length++; + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.38/SqList.h b/Dev-C++/ExerciseBook/07.38/SqList.h new file mode 100644 index 0000000..08db2a8 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.38/SqList.h @@ -0,0 +1,73 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#ifndef SQLIST_H +#define SQLIST_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define LIST_INIT_SIZE 100 // ˳Ðò±í´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define LISTINCREMENT 10 // ˳Ðò±í´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳Ðò±íÔªËØÀàÐͶ¨Òå */ +typedef int ElemType; + +/* + * ˳Ðò±í½á¹¹ + * + * ×¢£ºelemÔÚʹÓÃÇ°ÐèÒªÏÈΪÆä·ÖÅäÄڴ棬ÇÒÔªËØ´Óelem[0]´¦¿ªÊ¼´æ´¢ + */ +typedef struct { + ElemType* elem; // ˳Ðò±í´æ´¢¿Õ¼äµÄ»ùÖ·£¨Ö¸Ïò˳Ðò±íËùÕ¼ÄÚ´æµÄÆðʼλÖã© + int length; // µ±Ç°Ë³Ðò±í³¤¶È£¨°üº¬¶àÉÙÔªËØ£© + int listsize; // µ±Ç°·ÖÅäµÄ´æ´¢ÈÝÁ¿£¨¿ÉÒÔ´æ´¢¶àÉÙÔªËØ£© +} SqList; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L); + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L); + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e); + +#endif diff --git a/Dev-C++/ExerciseBook/07.38/TestData_DG.txt b/Dev-C++/ExerciseBook/07.38/TestData_DG.txt new file mode 100644 index 0000000..ee36cd9 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.38/TestData_DG.txt @@ -0,0 +1,8 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾C£¬E¡¿¡¾C£¬F¡¿¡¾F£¬G¡¿¡¾D£¬G¡¿¡¾D£¬H¡¿¡¾E£¬I¡¿¡¾E£¬J¡¿¡¾F£¬J¡¿¡¾G£¬K¡¿¡¾G£¬L¡¿ + +Ó붥µã¶ÔÓ¦µÄ²Ù×÷ÊýÓë²Ù×÷·û¡ú¡¾*£¬+£¬*£¬*£¬+£¬*£¬+£¬e£¬a£¬b£¬c£¬d¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.39/07.39.cpp b/Dev-C++/ExerciseBook/07.39/07.39.cpp new file mode 100644 index 0000000..44c80db --- /dev/null +++ b/Dev-C++/ExerciseBook/07.39/07.39.cpp @@ -0,0 +1,80 @@ +#include +#include "SqList.h" +#include "BiTree.h" + +/* + * »ñÈ¡´æ´¢ÔÚ¶þ²æÊ÷Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.22 + */ +void Algo_7_39(BiTree T); + +/* + * ´Ó¶þ²æÊ÷µÄ¸ù½áµã³ö·¢»ñÈ¡Ê÷Öд洢µÄ±í´ïʽµÄÄ沨À¼Ê½¡£ + * ÇóÈ¡µÄÄ沨À¼Ê½»á´æ´¢ÔÚRPNÖС£ + * + * ×¢£ºÊ¹ÓÃÁ˺óÐø±éÀú + */ +static void AntiPolandFormula_7_39(BiTree T, SqList* RPN); + + +int main(int argc, char* argv[]) { + BiTree T; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡¶þ²æÊ÷... \n"); + { + InitBiTree(&T); + CreateBiTree(&T, "TestData_Pre.txt"); + PrintTree(T); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ÇóÈ¡¶þ²æÊ÷Öд洢µÄ±í´ïʽµÄÄ沨À¼Ê½... \n"); + { + Algo_7_39(T); + printf("\n"); + } + + return 0; +} + + +/* + * »ñÈ¡´æ´¢ÔÚ¶þ²æÊ÷Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.23 + */ +void Algo_7_39(BiTree T) { + int i; + SqList RPN; // ´æ´¢Ä沨À¼±í´ïʽ + ElemType e; + + // ³õʼ»¯³¤¶ÈΪ0µÄÏßÐÔ±í + InitList(&RPN); + + // ´ÓÓÐÏòÎÞ»·Í¼µÄ¸ù½áµã³ö·¢£¬Í¨¹ýβµÝ¹é»ñÈ¡µ½ÆäÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½ + AntiPolandFormula_7_39(T, &RPN); + + for(i = 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z4kqA1wm}*~!1NEv_vLh8S@o!2622J!eQ0)LLo%&_b@wefxE%>5O#!Ie3K*p~e^0H| zdERDkQgYo~U3u{a(V8~?Z{7PmE>Tqi^UF2}rGT|7kW|FBzVovTwVI!#sg6a|-Un z31lyC?!E18j|n)#$h8;3T3xyMcN^&Gk$RF52BPP%;EEEinwW=8q2f`Xc~~?YlNddK zam5V?aS$`yMp>B?1_7HCc6Du7hyc8n(F{~@J>{*wP54$7t5rAV3lvKUbG}_c_!BLf zJ*lQFyImz1PPyRP2PVZzco+|SG@AKPSa~UFQ{0}GIio2dO-UZylTdXRF{F(#?B*xK!|}=L#@^1XgEeQZU6PS zlchild); // Çó×ó×ÓÊ÷Éî¶È + RD = BiTreeDepth(T->rchild); // ÇóÓÒ×ÓÊ÷Éî¶È + + return (LD >= RD ? LD : RD) + 1; + } +} + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ½öÏÞÄÚ²¿Ê¹Óõĺ¯Êý ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ´´½¨¶þ²æÊ÷µÄÄÚ²¿º¯Êý +static void CreateTree(BiTree* T, FILE* fp) { + char ch; + + // ¶ÁÈ¡µ±Ç°½áµãµÄÖµ + if(fp == NULL) { + scanf("%c", &ch); + } else { + ReadData(fp, "%c", &ch); + } + + if(ch == '^') { + *T = NULL; + } else { + // Éú³É¸ù½áµã + *T = (BiTree) malloc(sizeof(BiTNode)); + if(!(*T)) { + exit(OVERFLOW); + } + (*T)->data = ch; + CreateTree(&((*T)->lchild), fp); // ´´½¨×ó×ÓÊ÷ + CreateTree(&((*T)->rchild), fp); // ´´½¨ÓÒ×ÓÊ÷ + } +} + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹£¬½öÏÞÄÚ²¿²âÊÔʹÓà +void PrintTree(BiTree T) { + int level, width; + int i, j, k, w; + int begin; + int distance; + TElemType** tmp; + LinkQueue Q; + BiTree e; + + // Óöµ½¿ÕÊ÷ÔòÎÞÐè¼ÌÐø¼ÆËã + if(BiTreeEmpty(T)) { + printf("\n"); + return; + } + + level = BiTreeDepth(T); // £¨ÍêÈ«£©¶þ²æÊ÷½á¹¹¸ß¶È + width = (int)pow(2, level)-1; // £¨ÍêÈ«£©¶þ²æÊ÷½á¹¹¿í¶È + + // ¶¯Ì¬´´½¨ÐÐ + tmp = (TElemType**)malloc(level* sizeof(TElemType*)); + + // ¶¯Ì¬´´½¨ÁÐ + for(i = 0; i < level; i++) { + tmp[i] = (TElemType*)malloc(width* sizeof(TElemType)); + + // ³õʼ»¯ÄÚ´æֵΪ¿Õ×Ö·û + memset(tmp[i], '\0', width); + } + + // ½èÖú¶ÓÁÐʵÏÖ²ãÐò±éÀú + InitQueue(&Q); + EnQueue(&Q, T); + + // ±éÀúÊ÷ÖÐËùÓÐÔªËØ£¬½«Æä°²Åŵ½¶þάÊý×étmpÖкÏÊʵÄλÖà + for(i = 0; i < level; i++) { + w = (int) pow(2, i); // ¶þ²æÊ÷µ±Ç°²ãµÄ¿í¶È + distance = width / w; // ¶þ²æÊ÷µ±Ç°²ãµÄÔªËؼä¸ô + begin = width / (int) pow(2, i + 1); // ¶þ²æÊ÷µ±Ç°²ãÊ׸öÔªËØ֮ǰµÄ¿Õ¸ñÊý + + for(k = 0; k < w; k++) { + DeQueue(&Q, &e); + + if(e == NULL) { + EnQueue(&Q, NULL); + EnQueue(&Q, NULL); + } else { + j = begin + k * (1 + distance); + tmp[i][j] = e->data; + + // ×óº¢×ÓÈë¶Ó + EnQueue(&Q, e->lchild); + + // ÓÒº¢×ÓÈë¶Ó + EnQueue(&Q, e->rchild); + } + } + } + + for(i = 0; i < level; i++) { + for(j = 0; j < width; j++) { + if(tmp[i][j] != '\0') { + printf("%c", tmp[i][j]); + } else { + printf(" "); + } + } + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.39/BiTree.h b/Dev-C++/ExerciseBook/07.39/BiTree.h new file mode 100644 index 0000000..00f93ed --- /dev/null +++ b/Dev-C++/ExerciseBook/07.39/BiTree.h @@ -0,0 +1,83 @@ +/*============================= + * ¶þ²æÊ÷µÄ¶þ²æÁ´±í´æ´¢½á¹¹ + * + * °üº¬Ëã·¨: 6.1¡¢6.2¡¢6.3¡¢6.4 + =============================*/ + +#ifndef BITREE_H +#define BITREE_H + +#include +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include // Ìṩ pow Ô­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ¶þ²æÊ÷ÔªËØÀàÐͶ¨Ò壬ÕâÀï¼ÙÉèÆäÔªËØÀàÐÍΪchar */ +typedef char TElemType; + +/* ¶þ²æÊ÷½áµã¶¨Òå */ +typedef struct BiTNode { + TElemType data; // ½áµãÔªËØ + struct BiTNode* lchild; // ×óº¢×ÓÖ¸Õë + struct BiTNode* rchild; // ÓÒº¢×ÓÖ¸Õë +} BiTNode; + +/* Ö¸Ïò¶þ²æÊ÷½áµãµÄÖ¸Õë */ +typedef BiTNode* BiTree; + + +/* + * ³õʼ»¯ + * + * ¹¹Ôì¿Õ¶þ²æÊ÷¡£ + */ +Status InitBiTree(BiTree* T); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨6.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + * °´ÕÕÔ¤ÉèµÄ¶¨ÒåÀ´´´½¨¶þ²æÊ÷¡£ + * ÕâÀïÔ¼¶¨Ê¹Óá¾ÏÈÐòÐòÁС¿À´´´½¨¶þ²æÊ÷¡£ + * + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL»òÕßΪ¿Õ´®£¬ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateBiTree(BiTree* T, char* path); + +/* + * ÅÐ¿Õ + * + * Åж϶þ²æÊ÷ÊÇ·ñΪ¿ÕÊ÷¡£ + */ +Status BiTreeEmpty(BiTree T); + +/* + * Ê÷Éî + * + * ·µ»Ø¶þ²æÊ÷µÄÉî¶È£¨²ãÊý£©¡£ + */ +int BiTreeDepth(BiTree T); + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ½öÏÞÄÚ²¿Ê¹Óõĺ¯Êý ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ´´½¨¶þ²æÊ÷µÄÄÚ²¿º¯Êý +static void CreateTree(BiTree* T, FILE* fp); + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹£¬½öÏÞÄÚ²¿²âÊÔʹÓà +void PrintTree(BiTree T); + +#endif diff --git a/Dev-C++/ExerciseBook/07.39/LinkQueue.cpp b/Dev-C++/ExerciseBook/07.39/LinkQueue.cpp new file mode 100644 index 0000000..111c53e --- /dev/null +++ b/Dev-C++/ExerciseBook/07.39/LinkQueue.cpp @@ -0,0 +1,102 @@ +/*========================= + * ¶ÓÁеÄÁ´Ê½´æ´¢½á¹¹£¨Á´¶Ó£© + ==========================*/ + +#ifndef LINKQUEUE_C +#define LINKQUEUE_C + +#include "LinkQueue.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄÁ´¶Ó¡£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁдøÓÐÍ·½áµã + */ +Status InitQueue(LinkQueue* Q) { + if(Q == NULL) { + return ERROR; + } + + (*Q).front = (*Q).rear = (QueuePtr) malloc(sizeof(QNode)); + if(!(*Q).front) { + exit(OVERFLOW); + } + + (*Q).front->next = NULL; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏÁ´¶ÓÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Á´¶ÓΪ¿Õ + * FALSE: Á´¶Ó²»Îª¿Õ + */ +Status QueueEmpty(LinkQueue Q) { + if(Q.front == Q.rear) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(LinkQueue* Q, QElemType e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL) { + return ERROR; + } + + p = (QueuePtr) malloc(sizeof(QNode)); + if(!p) { + exit(OVERFLOW); + } + + p->data = e; + p->next = NULL; + + (*Q).rear->next = p; + (*Q).rear = p; + + return OK; +} + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(LinkQueue* Q, QElemType* e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL || (*Q).front == (*Q).rear) { + return ERROR; + } + + p = (*Q).front->next; + *e = p->data; + + (*Q).front->next = p->next; + if((*Q).rear == p) { + (*Q).rear = (*Q).front; + } + + free(p); + + return OK; +} + +#endif diff --git a/Dev-C++/ExerciseBook/07.39/LinkQueue.h b/Dev-C++/ExerciseBook/07.39/LinkQueue.h new file mode 100644 index 0000000..cc52316 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.39/LinkQueue.h @@ -0,0 +1,65 @@ +/*========================= + * ¶ÓÁеÄÁ´Ê½´æ´¢½á¹¹£¨Á´¶Ó£© + ==========================*/ + +#ifndef LINKQUEUE_H +#define LINKQUEUE_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "BiTree.h" //**¡ø06 Ê÷ºÍ¶þ²æÊ÷**// + +/* Á´¶ÓÔªËØÀàÐͶ¨Òå */ +typedef BiTree QElemType; + +// ¶ÓÁÐÔªËؽṹ +typedef struct QNode { + QElemType data; + struct QNode* next; +} QNode, * QueuePtr; + +// ¶ÓÁнṹ +typedef struct { + QueuePtr front; // ¶ÓÍ·Ö¸Õë + QueuePtr rear; // ¶ÓβָÕë +} LinkQueue; // ¶ÓÁеÄÁ´Ê½´æ´¢±íʾ + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄÁ´¶Ó¡£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁдøÓÐÍ·½áµã + */ +Status InitQueue(LinkQueue* Q); + +/* + * ÅÐ¿Õ + * + * ÅжÏÁ´¶ÓÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Á´¶ÓΪ¿Õ + * FALSE: Á´¶Ó²»Îª¿Õ + */ +Status QueueEmpty(LinkQueue Q); + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(LinkQueue* Q, QElemType e); + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(LinkQueue* Q, QElemType* e); + +#endif diff --git a/Dev-C++/ExerciseBook/07.39/SqList.cpp b/Dev-C++/ExerciseBook/07.39/SqList.cpp new file mode 100644 index 0000000..623d818 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.39/SqList.cpp @@ -0,0 +1,114 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#include "SqList.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L) { + // ·ÖÅäÖ¸¶¨ÈÝÁ¿µÄÄڴ棬Èç¹û·ÖÅäʧ°Ü£¬Ôò·µ»ØNULL + (*L).elem = (ElemType*) malloc(LIST_INIT_SIZE * sizeof(ElemType)); + if((*L).elem == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + (*L).length = 0; // ³õʼ»¯Ë³Ðò±í³¤¶ÈΪ0 + (*L).listsize = LIST_INIT_SIZE; // ˳Ðò±í³õʼÄÚ´æ·ÖÅäÁ¿ + + return OK; // ³õʼ»¯³É¹¦ +} + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L) { + return L.length; +} + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e) { + // ÒòΪiµÄº¬ÒåÊÇλÖã¬ËùÒÔÆäºÏ·¨·¶Î§ÊÇ£º[1, length] + if(i < 1 || i > L.length) { + return ERROR; //iÖµ²»ºÏ·¨ + } + + *e = L.elem[i - 1]; + + return OK; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e) { + ElemType* newbase; + ElemType* p, * q; + + // È·±£Ë³Ðò±í½á¹¹´æÔÚ + if(L == NULL || (*L).elem == NULL) { + return ERROR; + } + + // iÖµÔ½½ç + if(i < 1 || i > (*L).length + 1) { + return ERROR; + } + + // Èô´æ´¢¿Õ¼äÒÑÂú£¬ÔòÔö¼Óпռä + if((*L).length >= (*L).listsize) { + // »ùÓÚÏÖÓпռäÀ©ÈÝ + newbase = (ElemType*) realloc((*L).elem, ((*L).listsize + LISTINCREMENT) * sizeof(ElemType)); + if(newbase == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + // лùÖ· + (*L).elem = newbase; + // ´æµÄ´æ´¢¿Õ¼ä + (*L).listsize += LISTINCREMENT; + } + + // qΪ²åÈëλÖà + q = &(*L).elem[i - 1]; + + // 1.ÓÒÒÆÔªËØ£¬ÌÚ³öλÖà + for(p = &(*L).elem[(*L).length - 1]; p >= q; --p) { + *(p + 1) = *p; + } + + // 2.²åÈëe + *q = e; + + // 3.±í³¤Ôö1 + (*L).length++; + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.39/SqList.h b/Dev-C++/ExerciseBook/07.39/SqList.h new file mode 100644 index 0000000..08db2a8 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.39/SqList.h @@ -0,0 +1,73 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#ifndef SQLIST_H +#define SQLIST_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define LIST_INIT_SIZE 100 // ˳Ðò±í´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define LISTINCREMENT 10 // ˳Ðò±í´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳Ðò±íÔªËØÀàÐͶ¨Òå */ +typedef int ElemType; + +/* + * ˳Ðò±í½á¹¹ + * + * ×¢£ºelemÔÚʹÓÃÇ°ÐèÒªÏÈΪÆä·ÖÅäÄڴ棬ÇÒÔªËØ´Óelem[0]´¦¿ªÊ¼´æ´¢ + */ +typedef struct { + ElemType* elem; // ˳Ðò±í´æ´¢¿Õ¼äµÄ»ùÖ·£¨Ö¸Ïò˳Ðò±íËùÕ¼ÄÚ´æµÄÆðʼλÖã© + int length; // µ±Ç°Ë³Ðò±í³¤¶È£¨°üº¬¶àÉÙÔªËØ£© + int listsize; // µ±Ç°·ÖÅäµÄ´æ´¢ÈÝÁ¿£¨¿ÉÒÔ´æ´¢¶àÉÙÔªËØ£© +} SqList; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L); + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L); + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e); + +#endif diff --git a/Dev-C++/ExerciseBook/07.39/TestData_Pre.txt b/Dev-C++/ExerciseBook/07.39/TestData_Pre.txt new file mode 100644 index 0000000..e988f9b --- /dev/null +++ b/Dev-C++/ExerciseBook/07.39/TestData_Pre.txt @@ -0,0 +1 @@ +ÏÈÐòÐòÁУ¨³¯ÉϵÄÈý½Ç´ú±í¿Õ½áµã£©£º*+*+a^^b^^*b^^+c^^d^^*+c^^d^^e^^*+c^^d^^e^^ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.40/07.40.cpp b/Dev-C++/ExerciseBook/07.40/07.40.cpp new file mode 100644 index 0000000..cd16ce8 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.40/07.40.cpp @@ -0,0 +1,193 @@ +#include +#include +#include "SqList.h" +#include "ALGraph.h" + +/* + * »ñÈ¡´æ´¢ÔÚÓÐÏòÎÞ»·Í¼Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.23 + */ +void Algo_7_40(ALGraph G, SqList* RPN); + +/* + * ´Ó¶¥µãv³ö·¢»ñÈ¡ÓÐÏòͼÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½¡£ + * ÇóÈ¡µÄÄ沨À¼Ê½»á´æ´¢ÔÚRPNÖС£ + */ +static void AntiPolandFormula_7_40(ALGraph G, int v, SqList* RPN); + +/* + * ¼ÆËãÄ沨À¼Ê½µÄÖµ + */ +int Evaluation_7_40(SqList RPN); + + +int main(int argc, char* argv[]) { + ALGraph G; + SqList RPN; // ´æ´¢Ä沨À¼±í´ïʽ + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡ÓÐÏòÍø... \n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ÇóÈ¡ÓÐÏòÍøÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½... \n"); + { + Algo_7_40(G, &RPN); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ¼ÆËãÄ沨À¼Ê½µÄÖµ... \n"); + { + printf("¼ÆËãÉÏÊöÄ沨À¼Ê½µÄֵΪ£º%d\n", Evaluation_7_40(RPN)); + printf("\n"); + } + + return 0; +} + + +/* + * »ñÈ¡´æ´¢ÔÚÓÐÏòÎÞ»·Í¼Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.23 + */ +void Algo_7_40(ALGraph G, SqList* RPN) { + int i, root; + int indegree[MAX_VERTEX_NUM]; // ËùÓж¥µãµÄÈë¶ÈÐÅÏ¢ + ArcNode* p; + ElemType e; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // ±éÀú¸Ã¶¥µãµÄËùÓÐÁڽӵ㣬ͳ¼Æ¸÷¶¥µãµÄÈë¶È + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } + + // ²éÕÒµ½¸ù½áµã + for(i = 0; i < G.vexnum; i++) { + if(indegree[i] == 0) { + root = i; + break; + } + } + + // ³õʼ»¯³¤¶ÈΪ0µÄÏßÐÔ±í + InitList(RPN); + + // ´ÓÓÐÏòÎÞ»·Í¼µÄ¸ù½áµã³ö·¢£¬Í¨¹ýβµÝ¹é»ñÈ¡µ½ÆäÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½ + AntiPolandFormula_7_40(G, root, RPN); + + // Êä³öÄ沨À¼Ê½ + for(i = 1; i <= ListLength(*RPN); i++) { + GetElem(*RPN, i, &e); + + if(e.type == Operand) { + printf("%d ", e.op); // ²Ù×÷Êý + } else { + printf("%c ", e.op); // ²Ù×÷·û + } + } + printf("\n"); +} + +/* + * ´Ó¶¥µãv³ö·¢»ñÈ¡ÓÐÏòͼÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½¡£ + * ÇóÈ¡µÄÄ沨À¼Ê½»á´æ´¢ÔÚRPNÖС£ + */ +void AntiPolandFormula_7_40(ALGraph G, int v, SqList* RPN) { + ArcNode* r; + Vertex vex; + + // ÏȱéÀúÁÚ½Óµã + for(r = G.vertices[v].firstarc; r != NULL; r = r->nextarc) { + AntiPolandFormula_7_40(G, r->adjvex, RPN); + } + + // »ñÈ¡²Ù×÷·û/²Ù×÷Êý + vex = G.vertices[v].context; + + // µ±Ã»ÓÐÁÚ½Óµã¿É±éÀúʱ£¬´æ´¢¸Ã¶¥µã + ListInsert(RPN, ListLength(*RPN) + 1, vex); +} + +/* + * ¼ÆËãÄ沨À¼Ê½µÄÖµ£¬Èç¹û·¢Éú´íÎ󣬷µ»ØINT_MIN¡£ + */ +int Evaluation_7_40(SqList RPN) { + int stack[MAX_VERTEX_NUM]; // Ä£ÄâÒ»¸öÕ»£¬ÓÃÀ´´æ´¢±í´ïʽµÄ¼ÆËã½á¹û + int top = 0; // Õ»¶¥Óαê + int a, b; + ElemType e; + int i; + Boolean hasError = FALSE; // ¼ÆËã¹ý³ÌÖгöÏÖÁË´íÎó + + for(i = 1; i <= ListLength(RPN) && !hasError; i++) { + GetElem(RPN, i, &e); + + // ²Ù×÷Êý + if(e.type == Operand) { + stack[top++] = e.op; + + // ²Ù×÷·û + } else { + if(top > 0) { + b = stack[--top]; + } else { + return INT_MIN; + } + + if(top > 0) { + a = stack[--top]; + } else { + return INT_MIN; + } + + switch(e.op) { + case '+': + stack[top++] = a + b; + break; + case '-': + stack[top++] = a - b; + break; + case '*': + stack[top++] = a * b; + break; + case '/': + stack[top++] = a / b; + break; + default: + printf("ÎÞ·¨Ê¶±ðµÄ²Ù×÷·û£º%c\n", e.op); + hasError = TRUE; + break; + } + } + } + + // Õ»ÖÐ×îºóÖ»Ó¦¸ÃÊ£Ò»¸öÖµ + if(hasError || top != 1) { + return INT_MIN; + } + + return stack[0]; +} diff --git a/Dev-C++/ExerciseBook/07.40/07.40.dev b/Dev-C++/ExerciseBook/07.40/07.40.dev new file mode 100644 index 0000000..d5b1ee3 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.40/07.40.dev @@ -0,0 +1,111 @@ +[Project] +FileName=07.40.dev +Name=07.40 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 +UnitCount=6 + +[VersionInfo] +Major=1 +Minor=0 +Release=0 +Build=0 +LanguageID=1033 +CharsetID=1252 +CompanyName= +FileVersion= +FileDescription=Developed using the Dev-C++ IDE +InternalName= +LegalCopyright= +LegalTrademarks= 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zAiqVVVqnnD;yU3m<-?g1PfKm8KUt?l;NJf}L<)I^ zo&!2*p9fjY+mjYhQgh@k{6Q2SE4vA^+pT{cbiwb6 zqRz0S`QVqILUAuU?0DR5ZIvx$%+p}gy+HZlI)1=Kee&|p!wZXu7w?!03dfCS1}C4_ z1yt8rKn;(IUvU5XXs^INuOrI&l#BGoFjiWd$KKH-rYOZO z?*z)EzeYKdePht$Sm^zy0o|fSq*lhn!558flN$NhmEUChV%Ni0H-VXWgH-?OnV?{; zVC}Z?=i0>c;(rI9q*gI&-i79)_cIVDziZ1Z{PoBt*D|i25W22zMz@%1)!SkYWw)BI zmN)(HaO?Lg+q#UmFBV>qy&K@?x|-W!h_=71@DI6^HXdj-{~p2loLP9#wWWY5D&uPf zk>$kTWPU3wd)rvUhI30x{-41wSEE9Ci;HkNPt{L57o)J=h*~b00HZp1v9yA(Zx%6L zN|a{b`?X-gU-(8i2R$EA#)5jSAJ6Mre7xoN;0QmUp@GALI79nWp0agG=B9E51Gei; z3G;qqvG8Qgw6fRuf1j=+tn*UK>+1Py+e6QdnJWJU#7&0f$H`}tZg95TKc)LC#slJJ zb~h)NC%iFd`On^8f2j60#W$KXeE&HpZGfM^>pJ*MdO&RPVn!Hz-|IAOF>v#K(Y4Gh z`hXb0!v6$tq!>DgF>i6d_*v_tdUkbvFC+e5CCq&nnG4onhLWxWoB6PxjobeW=TT$Z z@MGs%U5%l;vC})+?+xj^_Q$(1lBNaD+fRD^eV%>xQgP_x;@tBDg@41PQ_-0zOPL-d z()uXX2hmPV%Ko&efxhI&)aC&d>XR*OLf=HCp=;l_U+;oSN-{=5*dhMQ~> + InsertArc(G, v1, v2, info); + } + + + + /* Ìí¼ÓÏÂÃæ´úÂ룬ÒÔÓ¦¶ÔÐ޸ĺóµÄ½á¹¹ */ + + // ¼È붥µã¶ÔÓ¦µÄ²Ù×÷·û/²Ù×÷Êý + if(fp == NULL) { + printf("ÇëΪ¸÷¶¥µã¼Èë²Ù×÷·û/²Ù×÷ÊýÐÅÏ¢£º\n"); + printf(" Èç¹û¶¥µãÊDzÙ×÷·û£¬Ê¾·¶ÊäÈëΪ£º0 +\n"); + printf(" Èç¹û¶¥µãÊDzÙ×÷Êý£¬Ê¾·¶ÊäÈëΪ£º1 12\n"); + for(i = 0; i < vexnum; i++) { + printf("ÇëÊäÈ붥µã %c ¶ÔÓ¦µÄÊý¾ÝÐÅÏ¢£º", G->vertices[i].data); + + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%d", &type); + + // ²Ù×÷·û + if(type == 0) { + (*G).vertices[i].context.type = Operator; + scanf("%c", &o); + (*G).vertices[i].context.op = o; + } else if(type == 1) { + (*G).vertices[i].context.type = Operand; + scanf("%d", &((*G).vertices[i].context.op)); + } else { + printf("ÎÞ·¨Ê¶±ðµÄ¶¥µãÊý¾Ý...\n"); + return ERROR; + } + } + } else { + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%d", &type); + + // ²Ù×÷·û + if(type == 0) { + (*G).vertices[i].context.type = Operator; + ReadData(fp, "%c", &o); + (*G).vertices[i].context.op = o; + } else if(type == 1) { + (*G).vertices[i].context.type = Operand; + ReadData(fp, "%d", &((*G).vertices[i].context.op)); + } else { + printf("ÎÞ·¨Ê¶±ðµÄ¶¥µãÊý¾Ý...\n"); + return ERROR; + } + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.40/ALGraph.h b/Dev-C++/ExerciseBook/07.40/ALGraph.h new file mode 100644 index 0000000..f53e2d0 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.40/ALGraph.h @@ -0,0 +1,141 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãµÄÊý¾ÝÀàÐÍ +typedef enum { + Operator, // ²Ù×÷·û£¬ÓÃ×Ö·û±íʾ£¬µ«¿ÉÒÔ´æ´¢µ½ÕûÐÍÖÐ + Operand // ²Ù×÷Êý£¬ÓÃÕûÊý±íʾ£¬Èç¹û½«À´À©³äµ½¸¡µãÊý£¬¿ÉÒÔͳһʹÓø¡µãÐÍ´æ´¢ +} Type; + +// ¶¥µã±àºÅÀàÐÍ +typedef char VertexType; + +// ¶¥µã´æ´¢µÄÊý¾Ý +typedef struct Vertex { + Type type; // ָʾµ±Ç°¶¥µãÊDzÙ×÷·û»¹ÊDzÙ×÷Êý + int op; // ´æ´¢µ±Ç°¶¥µã¶ÔÓ¦µÄ²Ù×÷·û/²Ù×÷Êý +} Vertex; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + Vertex context; // Óë¸Ã¶¥µã¶ÔÓ¦µÄ²Ù×÷·û/²Ù×÷Êý + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.40/SqList.cpp b/Dev-C++/ExerciseBook/07.40/SqList.cpp new file mode 100644 index 0000000..623d818 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.40/SqList.cpp @@ -0,0 +1,114 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#include "SqList.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L) { + // ·ÖÅäÖ¸¶¨ÈÝÁ¿µÄÄڴ棬Èç¹û·ÖÅäʧ°Ü£¬Ôò·µ»ØNULL + (*L).elem = (ElemType*) malloc(LIST_INIT_SIZE * sizeof(ElemType)); + if((*L).elem == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + (*L).length = 0; // ³õʼ»¯Ë³Ðò±í³¤¶ÈΪ0 + (*L).listsize = LIST_INIT_SIZE; // ˳Ðò±í³õʼÄÚ´æ·ÖÅäÁ¿ + + return OK; // ³õʼ»¯³É¹¦ +} + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L) { + return L.length; +} + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e) { + // ÒòΪiµÄº¬ÒåÊÇλÖã¬ËùÒÔÆäºÏ·¨·¶Î§ÊÇ£º[1, length] + if(i < 1 || i > L.length) { + return ERROR; //iÖµ²»ºÏ·¨ + } + + *e = L.elem[i - 1]; + + return OK; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e) { + ElemType* newbase; + ElemType* p, * q; + + // È·±£Ë³Ðò±í½á¹¹´æÔÚ + if(L == NULL || (*L).elem == NULL) { + return ERROR; + } + + // iÖµÔ½½ç + if(i < 1 || i > (*L).length + 1) { + return ERROR; + } + + // Èô´æ´¢¿Õ¼äÒÑÂú£¬ÔòÔö¼Óпռä + if((*L).length >= (*L).listsize) { + // »ùÓÚÏÖÓпռäÀ©ÈÝ + newbase = (ElemType*) realloc((*L).elem, ((*L).listsize + LISTINCREMENT) * sizeof(ElemType)); + if(newbase == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + // лùÖ· + (*L).elem = newbase; + // ´æµÄ´æ´¢¿Õ¼ä + (*L).listsize += LISTINCREMENT; + } + + // qΪ²åÈëλÖà + q = &(*L).elem[i - 1]; + + // 1.ÓÒÒÆÔªËØ£¬ÌÚ³öλÖà + for(p = &(*L).elem[(*L).length - 1]; p >= q; --p) { + *(p + 1) = *p; + } + + // 2.²åÈëe + *q = e; + + // 3.±í³¤Ôö1 + (*L).length++; + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.40/SqList.h b/Dev-C++/ExerciseBook/07.40/SqList.h new file mode 100644 index 0000000..8788fdb --- /dev/null +++ b/Dev-C++/ExerciseBook/07.40/SqList.h @@ -0,0 +1,74 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#ifndef SQLIST_H +#define SQLIST_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* ºê¶¨Òå */ +#define LIST_INIT_SIZE 100 // ˳Ðò±í´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define LISTINCREMENT 10 // ˳Ðò±í´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳Ðò±íÔªËØÀàÐͶ¨Òå */ +typedef Vertex ElemType; + +/* + * ˳Ðò±í½á¹¹ + * + * ×¢£ºelemÔÚʹÓÃÇ°ÐèÒªÏÈΪÆä·ÖÅäÄڴ棬ÇÒÔªËØ´Óelem[0]´¦¿ªÊ¼´æ´¢ + */ +typedef struct { + ElemType* elem; // ˳Ðò±í´æ´¢¿Õ¼äµÄ»ùÖ·£¨Ö¸Ïò˳Ðò±íËùÕ¼ÄÚ´æµÄÆðʼλÖã© + int length; // µ±Ç°Ë³Ðò±í³¤¶È£¨°üº¬¶àÉÙÔªËØ£© + int listsize; // µ±Ç°·ÖÅäµÄ´æ´¢ÈÝÁ¿£¨¿ÉÒÔ´æ´¢¶àÉÙÔªËØ£© +} SqList; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L); + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L); + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e); + +#endif diff --git a/Dev-C++/ExerciseBook/07.40/TestData_DG.txt b/Dev-C++/ExerciseBook/07.40/TestData_DG.txt new file mode 100644 index 0000000..87b0ea5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.40/TestData_DG.txt @@ -0,0 +1,8 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾C£¬E¡¿¡¾C£¬F¡¿¡¾F£¬G¡¿¡¾D£¬G¡¿¡¾D£¬H¡¿¡¾E£¬I¡¿¡¾E£¬J¡¿¡¾F£¬J¡¿¡¾G£¬K¡¿¡¾G£¬L¡¿ + +Ó붥µã¶ÔÓ¦µÄ²Ù×÷ÊýÓë²Ù×÷·û¡ú¡¾0£¬*¡¿¡¾0£¬+¡¿¡¾0£¬*¡¿¡¾0£¬*¡¿¡¾0£¬+¡¿¡¾0£¬*¡¿¡¾0£¬+¡¿¡¾1£¬12¡¿¡¾1£¬3¡¿¡¾1£¬4¡¿¡¾1£¬5¡¿¡¾1£¬6¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.41/07.41.cpp b/Dev-C++/ExerciseBook/07.41/07.41.cpp new file mode 100644 index 0000000..8a776be --- /dev/null +++ b/Dev-C++/ExerciseBook/07.41/07.41.cpp @@ -0,0 +1,160 @@ +#include +#include "SqStack.h" +#include "ALGraph.h" + +// »º´æÒÑÕÒµ½µÄȨֵºÍ×î´óµÄ·¾¶µÄȨֵºÍ +static int MAX = -1; + + +/* + * ÇóÈ¡ÓÐÏòÍøÖеĹؼü·¾¶(CPM) + * + * ´Ë´¦ÀûÓÃÉî¶ÈÓÅÏȱéÀúµÄ˼ÏëÀ´ÇóÈ¡¹Ø¼ü·¾¶£¬Æä»ù±¾Ô­ÀíÊÇ£º¹Ø¼ü·¾¶ = ȨֵºÍ×î´óµÄ·¾¶ + * + * ×¢£º½Ì²ÄÖÐÓ¦¸ÃÊDZÊÎ󣬲»ÊÇÇóÓÐÏòͼµÄ¹Ø¼ü·¾¶£¬¶øÊÇÇóÓÐÏòÍøµÄ×·¾¶ + */ +void Algo_7_41(ALGraph G); + +/* + * ²éÕҹؼü·¾¶ÉϵÄÔ´µã + * + * ´Ë´¦Ê¹ÓÃÁíÍâÒ»ÖÖ·½Ê½ÇóÔ´µã£¬¶ø²»ÊÇÏñ֮ǰһÑùͨ¹ýÈë¶ÈÐÅÏ¢ÇóÔ´µã£¬ + * ²»¹ýÕâÁ½ÖÖ·½·¨ÊÇÊâ;ͬ¹éµÄ¡£ + */ +static int FindBegin_7_41(ALGraph G); + +/* + * ͨ¹ýÉî¶ÈÓÅÏȱéÀú²éÕÒͼÖдӶ¥µãv³ö·¢µÄȨֵ×µÄ·¾¶(¹Ø¼ü·¾¶)¡£ + * + * sumºÍSÓÃÀ´»º´æ·¾¶È¨ÖµºÍÓëÒѾ­ÕÒµ½µÄ·¾¶£¬ + * pathÓÃÀ´¼Ç¼µ±Ç°ÕÒµ½µÄȨֵºÍ×î´óµÄ·¾¶£¬path[0]ÉÏ´æ´¢¶¥µãÊýÁ¿¡£ + */ +static void FindPath_7_41(ALGraph G, int v, int sum, SqStack* S, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡ÓÐÏòÍø... \n"); + { + char* path[4]; + + path[0] = ""; + path[1] = "TestData_DN.txt"; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + } + PressEnterToContinue(debug); + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ÇóÈ¡ÓÐÏòÍøµÄ¹Ø¼ü·¾¶... \n"); + { + Algo_7_41(G); + } + PressEnterToContinue(debug); + + return 0; +} + + +/* + * ÇóÈ¡ÓÐÏòÍøÖеĹؼü·¾¶(CPM) + * + * ´Ë´¦ÀûÓÃÉî¶ÈÓÅÏȱéÀúµÄ˼ÏëÀ´ÇóÈ¡¹Ø¼ü·¾¶£¬Æä»ù±¾Ô­ÀíÊÇ£º¹Ø¼ü·¾¶ = ȨֵºÍ×î´óµÄ·¾¶ + * + * ×¢£º½Ì²ÄÖÐÓ¦¸ÃÊDZÊÎ󣬲»ÊÇÇóÓÐÏòͼµÄ¹Ø¼ü·¾¶£¬¶øÊÇÇóÓÐÏòÍøµÄ×·¾¶ + */ +void Algo_7_41(ALGraph G) { + int i; + int begin; // ¹Ø¼ü·¾¶ÉϵÄÔ´µã + int path[MAX_VERTEX_NUM + 1] = {-1}; // ´æ´¢È¨ÖµºÍ×î´óµÄ·¾¶£¬0ºÃµ¥Ôª´æ´¢È¨ÖµºÍ + SqStack S; + + // ²éÕҹؼü·¾¶ÉϵÄÔ´µã + begin = FindBegin_7_41(G); + + InitStack(&S); + + FindPath_7_41(G, begin, 0, &S, path); + + printf("ÒÑÕÒµ½µÄȨֵºÍ×î´óµÄ·¾¶(¹Ø¼ü·¾¶)Ϊ£º"); + for(i = 1; i <= path[0]; i++) { + printf("%c ", G.vertices[path[i]].data); + } + printf("\n"); +} + +/* + * ²éÕҹؼü·¾¶ÉϵÄÔ´µã + * + * ´Ë´¦Ê¹ÓÃÁíÍâÒ»ÖÖ·½Ê½ÇóÔ´µã£¬¶ø²»ÊÇÏñ֮ǰһÑùͨ¹ýÈë¶ÈÐÅÏ¢ÇóÔ´µã£¬ + * ²»¹ýÕâÁ½ÖÖ·½·¨ÊÇÊâ;ͬ¹éµÄ¡£ + */ +static int FindBegin_7_41(ALGraph G) { + int k; + ArcNode* p; + Boolean isAdj[MAX_VERTEX_NUM] = {FALSE}; // ¼Ç¼ÄÄЩ¶¥µã×öÁËÁÚ½Óµã + + // ÕÒµ½ËùÓÐÁÚ½Óµã + for(k = 0; k < G.vexnum; k++) { + for(p = G.vertices[k].firstarc; p != NULL; p = p->nextarc) { + isAdj[p->adjvex] = TRUE; + } + } + + // ¹Ø¼ü·¾¶ÉϵÄÔ´µãûÓÐÈ뻡£¬ËùÒÔÒ²²»»á³ÉΪ±ðµÄ¶¥µãµÄÁÚ½Óµã + for(k = 0; k < G.vexnum; k++) { + if(isAdj[k] == FALSE) { + return k; + } + } + + return -1; +} + +/* + * ͨ¹ýÉî¶ÈÓÅÏȱéÀú²éÕÒͼÖдӶ¥µãv³ö·¢µÄȨֵ×µÄ·¾¶(¹Ø¼ü·¾¶)¡£ + * + * sumºÍSÓÃÀ´»º´æ·¾¶È¨ÖµºÍÓëÒѾ­ÕÒµ½µÄ·¾¶£¬ + * pathÓÃÀ´¼Ç¼µ±Ç°ÕÒµ½µÄȨֵºÍ×î´óµÄ·¾¶£¬path[0]ÉÏ´æ´¢¶¥µãÊýÁ¿¡£ + */ +static void FindPath_7_41(ALGraph G, int v, int sum, SqStack* S, int path[MAX_VERTEX_NUM + 1]) { + int i; + ArcNode* p; + SElemType e; + + // ½«Óöµ½µÄ¶¥µãÔݴ浽·¾¶Õ» + Push(S, v); + + // Éî¶ÈÓÅÏȱéÀú + for(p = G.vertices[v].firstarc; p != NULL; p = p->nextarc) { + sum += p->info->weight; + FindPath_7_41(G, p->adjvex, sum, S, path); + sum -= p->info->weight; + } + + /* + * ÖÁ´Ë£¬´Ë·¾¶ÒѱéÀúµ½Á˾¡Í·£¬ + * Èç¹û¸Ã·¾¶µÄȨֵºÍ±È֮ǰÕÒµ½µÄ·¾¶È¨ÖµºÍ¸ü´ó£¬ÔòÐèÒª°Ñ¸Ã·¾¶ÍêÕûµØ±£´æµ½pathÖУ¬ + * ±£´æÍê³Éºó£¬½«µ±Ç°¶¥µãvÍËÕ» + */ + + // Èç¹û¸Ã¶¥µãÊÇÖÕµã(±íÏÖΪûÓÐÁÚ½Óµã) + if(G.vertices[v].firstarc == NULL) { + // ·¢ÏÖÁËȨֵºÍ¸ü´óµÄ·¾¶ + if(sum > MAX) { + MAX = sum; + + path[0] = StackLength(*S); + + // ½«Õ»Öб£´æµÄ·¾¶¸´ÖƵ½pathÖÐ + for(i = 0; i < StackLength(*S); i++) { + path[i + 1] = S->base[i]; + } + } + } + + Pop(S, &e); +} diff --git a/Dev-C++/ExerciseBook/07.41/07.41.dev b/Dev-C++/ExerciseBook/07.41/07.41.dev new file mode 100644 index 0000000..cf4b1ec --- /dev/null +++ b/Dev-C++/ExerciseBook/07.41/07.41.dev @@ -0,0 +1,111 @@ +[Project] +FileName=07.41.dev +Name=07.41 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 +Icon= +ExeOutput= +ObjectOutput= +LogOutput= +LogOutputEnabled=0 +OverrideOutput=0 +OverrideOutputName= +HostApplication= +UseCustomMakefile=0 +CustomMakefile= +CommandLine= +Folders= +IncludeVersionInfo=0 +SupportXPThemes=0 +CompilerSet=1 +CompilerSettings=0000000000000000001000000 +UnitCount=6 + +[VersionInfo] +Major=1 +Minor=0 +Release=0 +Build=0 +LanguageID=1033 +CharsetID=1252 +CompanyName= +FileVersion= 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z)k12O$&&rpW;!N3N- + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.41/ALGraph.h b/Dev-C++/ExerciseBook/07.41/ALGraph.h new file mode 100644 index 0000000..db081e5 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.41/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.41/SqStack.cpp b/Dev-C++/ExerciseBook/07.41/SqStack.cpp new file mode 100644 index 0000000..db1b22c --- /dev/null +++ b/Dev-C++/ExerciseBook/07.41/SqStack.cpp @@ -0,0 +1,103 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * ¼ÆÊý + * + * ·µ»Ø˳ÐòÕ»°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int StackLength(SqStack S) { + if(S.base == NULL) { + return 0; + } + + return (int) (S.top - S.base); +} + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // Õ»Âúʱ£¬×·¼Ó´æ´¢¿Õ¼ä + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // ´æ´¢·ÖÅäʧ°Ü + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // ½øÕ»Ïȸ³Öµ£¬Õ»¶¥Ö¸ÕëÔÙ×ÔÔö + *(S->top++) = e; + + return OK; +} + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // ³öÕ»Õ»¶¥Ö¸ÕëÏȵݼõ£¬ÔÙ¸³Öµ + *e = *(--(*S).top); + + return OK; +} diff --git a/Dev-C++/ExerciseBook/07.41/SqStack.h b/Dev-C++/ExerciseBook/07.41/SqStack.h new file mode 100644 index 0000000..0c87d76 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.41/SqStack.h @@ -0,0 +1,66 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define STACK_INIT_SIZE 100 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define STACKINCREMENT 10 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳ÐòÕ»ÔªËØÀàÐͶ¨Òå */ +typedef int SElemType; + +// ˳ÐòÕ»ÔªËؽṹ +typedef struct { + SElemType* base; // Õ»µ×Ö¸Õë + SElemType* top; // Õ»¶¥Ö¸Õë + int stacksize; // µ±Ç°ÒÑ·ÖÅäµÄ´æ´¢¿Õ¼ä£¬ÒÔÔªËØΪµ¥Î» +} SqStack; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S); + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S); + +/* + * ¼ÆÊý + * + * ·µ»Ø˳ÐòÕ»°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int StackLength(SqStack S); + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e); + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/Dev-C++/ExerciseBook/07.41/TestData_DN.txt b/Dev-C++/ExerciseBook/07.41/TestData_DN.txt new file mode 100644 index 0000000..189ba76 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.41/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú13 +»¡Êý¡ú24 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾M£¬A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬N¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾M£¬A£¬1¡¿¡¾M£¬B£¬6¡¿¡¾M£¬D£¬3¡¿¡¾M£¬F£¬4¡¿¡¾M£¬G£¬3¡¿¡¾M£¬I£¬1¡¿¡¾A£¬C£¬6¡¿¡¾B£¬C£¬2¡¿¡¾D£¬C£¬7¡¿¡¾D£¬E£¬8¡¿¡¾D£¬J£¬6¡¿¡¾F£¬E£¬11¡¿¡¾F£¬H£¬5¡¿¡¾G£¬N£¬21¡¿¡¾G£¬H£¬10¡¿¡¾I£¬H£¬6¡¿¡¾H£¬J£¬4¡¿¡¾H£¬K£¬9¡¿¡¾K£¬J£¬9¡¿¡¾J£¬N£¬12¡¿¡¾J£¬E£¬3¡¿¡¾E£¬N£¬10¡¿¡¾H£¬C£¬4¡¿¡¾C£¬E£¬8¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.42/07.42.cpp b/Dev-C++/ExerciseBook/07.42/07.42.cpp new file mode 100644 index 0000000..bfbc6c4 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.42/07.42.cpp @@ -0,0 +1,54 @@ +#include +#include "ALGraph.h" +#include "ShortestPaths.h" + +/* + * ʹÓÃDijkstraËã·¨¼ÆËã´Óµ¥Ô´¶¥µã³ö·¢µÄ×î¶Ì·¾¶ + */ +void Algo_7_42(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡ÎÞÏòͼ/Íø... \n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ µÏ½Ü˹ÌØÀ­Ëã·¨Çóµ¥Ô´×î¶Ì·¾¶... \n"); + { + VertexType v0 = 'A'; + PathMatrix_DIJ P; + ShortPathTable_DIJ D; + + printf("Êä³ö´Ó¶¥µã %c µ½ÆäÓඥµãµÄ×î¶Ì·¾¶£º\n", v0); + Algo_7_42(G, LocateVex(G, v0), P, D); + printf("\n"); + } +} + + +/* + * ʹÓÃDijkstraËã·¨¼ÆËã´Óµ¥Ô´¶¥µã³ö·¢µÄ×î¶Ì·¾¶ + */ +void Algo_7_42(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D) { + + // ¡ï¡ï±ØÐëÊ×Ïȵ÷Óô˺¯Êý¼ÆËã¸÷¶¥µãÖ®¼äµÄ¹Øϵ + GetAdjs(G); + + // ×î¶Ì·¾¶Ëã·¨ + ShortestPath_DIJ(G, v0, P, D); + + // ´òÓ¡¼ÆËã³öµÄ½á¹û£¨´Ë²½Öè¿ÉÑ¡£© + PrintPath_DIJ(G, v0, P, D); +} diff --git a/Dev-C++/ExerciseBook/07.42/07.42.dev b/Dev-C++/ExerciseBook/07.42/07.42.dev new file mode 100644 index 0000000..be70655 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.42/07.42.dev @@ -0,0 +1,138 @@ +[Project] +FileName=07.42.dev +Name=07.42 +Type=1 +Ver=2 +ObjFiles= +Includes= +Libs= +PrivateResource= +ResourceIncludes= +MakeIncludes= +Compiler= +CppCompiler= +Linker= +IsCpp=0 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zA4v*dkmO|Kv&q0iH+62YLL?POVksKt15l5hzjO9zals_w0> zzBtgzkV?oc(f<8j-dtdn`-qihsy=7>q4}xtgKWjrH=gx9iI02_>3cvr#Oot zK-Xq|50Vfv%^V`{0Ze<#`t$Nx1SWsM2QwUBkwMaOX;w&Gq oAS8z@BJv0!gb+eVuDQSe4V@MsoW-fW-2eap07*qoM6N<$f(S(Y9{>OV literal 0 HcmV?d00001 diff --git a/Dev-C++/ExerciseBook/07.42/ALGraph.cpp b/Dev-C++/ExerciseBook/07.42/ALGraph.cpp new file mode 100644 index 0000000..e396f08 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.42/ALGraph.cpp @@ -0,0 +1,583 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = GraphKind(kind); // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo);// Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢(´Ë´¦Ó¦µ±°üº¬) + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vertices[v].data; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/Dev-C++/ExerciseBook/07.42/ALGraph.h b/Dev-C++/ExerciseBook/07.42/ALGraph.h new file mode 100644 index 0000000..385d058 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.42/ALGraph.h @@ -0,0 +1,150 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/Dev-C++/ExerciseBook/07.42/ShortestPaths.cpp b/Dev-C++/ExerciseBook/07.42/ShortestPaths.cpp new file mode 100644 index 0000000..cfc6dc4 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.42/ShortestPaths.cpp @@ -0,0 +1,334 @@ +/*==================== + * ×î¶Ì·¾¶Ëã·¨ + * + * °üº¬Ëã·¨: 7.15¡¢7.16 + =====================*/ + +#include "ShortestPaths.h" + +/* + * ´æ´¢¸÷¶Ô¶¥µãÖ®¼äµÄ¹Øϵ¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬´æ´¢0±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨£¬´æ´¢1±íʾÁ½¶¥µãÖ±½ÓÁ¬Í¨£» + * ¶ÔÓÚÍøÀ´Ëµ£¬´æ´¢µÄÊǶ¥µãÖ®¼äµÄȨֵ£¬È¨ÖµÎªINFINITE±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨¡£ + */ +static int adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; + + +/* + * Ó¦µ±ÔÚÖ´ÐеϽÜ˹ÌØÀ­Ë㷨֮ǰ±»µ÷Óã¬ÓÃÀ´¼ÆËã¸÷¶¥µãÖ®¼äµÄ¹Øϵ¡£ + */ +void GetAdjs(ALGraph G) { + int i, j; + ArcNode* p; + + for(i = 0; i < G.vexnum; i++) { + // ³õʼ»¯¶¥µã¹Øϵ + for(j = 0; j < G.vexnum; j++) { + // Èç¹ûÊÇÍø£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DN || G.kind == UDN) { + adjs[i][j] = INFINITE; + } + + // Èç¹ûÊÇͼ£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DG || G.kind == UDG) { + adjs[i][j] = 0; + } + } + + // ´¦ÀíÖ±½ÓÁ¬½ÓµÄ¶¥µã + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // Èç¹ûÊÇÍø£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DN || G.kind == UDN) { + adjs[i][p->adjvex] = p->info->weight; + } + + // Èç¹ûÊÇͼ£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DG || G.kind == UDG) { + adjs[i][p->adjvex] = 1; + } + } + } +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.15 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * µÏ½Ü˹ÌØÀ­(Dijkstra)Ëã·¨Çóµ¥Ô´×î¶Ì·¾¶ + * + * @param G ´ý±éÀúµÄͼ¡£ + * @param v0 µ¥Ô´×î¶Ì·¾¶µÄÆðµã¡£ + * @param P ´æ´¢´Óv0µ½ÆäÓà¸÷¶¥µãµÄ×î¶Ì·¾¶ÐÅÏ¢¡£ + * P[j][k]==TRUE´ú±í´Óv0->jµÄ×î¶Ì·¾¶»á¾­¹ý¶¥µãk£»·ñÔò£¬´ú±í²»¾­¹ý¡£ + * ×¢£º + * 1.¸ÃÊý×éÖ»·´Ó³Á˶¥µãµÄ´æÔÚÐÔ£¬¶øδ·´Ó³¶¥µãÔÚ·¾¶ÉϵĴÎÐò¡£ + * 2.Èç¹ûÁ½¶¥µãÖ®¼äÓжàÌõ×î¶Ì·¾¶£¬Ö»»áÑ¡È¡Ò»Ìõ + * @param D ´æ´¢´Óv0µ½ÆäÓà¸÷¶¥µãµÄ×î¶Ì·¾¶´ú¼Û£¬ÔÚͼÖУ¬¸Ã´ú¼ÛÊDz½³¤ºÍ£¬ÔÚÍøÖУ¬¸Ã´ú¼ÛÊÇȨֵºÍ¡£ + */ +void ShortestPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D) { + int v, w, i, j, min; + Status final[MAX_VERTEX_NUM]; // ÓÃÀ´±ê¼Çµ±Ç°½áµãÊÇ·ñÒѾ­·ÃÎʹý£¬¼´ÊÇ·ñÒѼÓÈë×î¶Ì·¾¶ + + /* + * Ô¤ÉèÒÑ·ÃÎʹýµÄ¶¥µã¼¯ÎªS£¬Î´·ÃÎʹýµÄ¶¥µã¼¯ÎªV-S + * ³õʼʱ£¬¶¥µã¼¯SΪ¿Õ£¬¶ø¶¥µã¼¯V-SΪËùÓж¥µãµÄ¼¯ºÏV + */ + for(v = 0; v < G.vexnum; v++) { + // ³õʼʱ£¬ËùÓж¥µã¾ùδ·ÃÎʹý + final[v] = FALSE; + + // ³õʼ»¯v0->vµÄ·¾¶´ú¼Û + D[v] = adjs[v0][v]; + + // Ô¤Éè´Óv0->v²»ÐèÒª¾­¹ý¶¥µãw£¬¼´Éè¿Õ·¾¶ + for(w = 0; w < G.vexnum; w++) { + P[v][w] = FALSE; + } + + // Èç¹ûÊÇÍø£¬Ö»×ß´Ë·ÖÖ§(½Ì²ÄÖ»´¦ÀíÁË´ËÖÖÇéÐÎ) + if(G.kind == DN || G.kind == UDN) { + // Èç¹ûv0->vÖ±½ÓÁ¬Í¨ + if(D[v] < INFINITE) { + P[v][v0] = TRUE; // ָʾv0->v±Ø½«¾­¹ý¶¥µãv0(¶ËµãÒ») + P[v][v] = TRUE; // ָʾv0->v±Ø½«¾­¹ý¶¥µãv(¶Ëµã¶þ) + } + } + + // Èç¹ûÊÇͼ£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DG || G.kind == UDG) { + // Èç¹ûv0µ½vÖ±½ÓÁ¬Í¨ + if(D[v] != 0) { + P[v][v0] = TRUE; // ָʾv0->v±Ø½«¾­¹ý¶¥µãv0(¶ËµãÒ») + P[v][v] = TRUE; // ָʾv0->v±Ø½«¾­¹ý¶¥µãv(¶Ëµã¶þ) + } + } + } + + // ³õʼ»¯£¬v0½øÈ붥µã¼¯S + D[v0] = 0; + final[v0] = TRUE; + + /* + * ¿ªÊ¼Ö÷Ñ­»·£¬±éÀúÆäÓàG1.vexnum-1¸ö¶¥µã¡£ + * ÿ´ÎÇóµÃv0µ½Ä³¸ö¶¥µãµÄ×î¶Ì·¾¶£¬Ôò½«¸Ã¶¥µã´Ó¶¥µã¼¯V-SÖÐŲµ½¶¥µã¼¯SÖÐ + */ + for(i = 1; i < G.vexnum; i++) { + /* + * ÿ´Î½øÈëÑ¡È¡×î½ü¶¥µã֮ǰ£¬¶¼Ó¦µ±½«vÖØÖÃΪһ¸öÕý³£¶¥µãÐòºÅÖ®ÍâµÄÖµ + * (½Ì²ÄÖÐÎ޴˲½Ö裬ÐèÒª²¹ÉÏ£¬·ñÔò»á½øÐкܶà´ÎÎÞЧµÄÑ­»·) + */ + v = -1; + + // ¼Ç¼¸÷¶¥µãÓ붥µãv0µÄ×î¶Ì¾àÀë + min = INFINITE; + + // ±éÀú¶¥µã¼¯V-S(ËùÓÐδ¼ÓÈë·¾¶µÄ¶¥µã)£¬´ÓÖÐÑ¡³ö¾àÀëv0¸ü½üµÄ¶¥µã + for(w = 0; w < G.vexnum; w++) { + // Èç¹ûw¶¥µãÔÚV-SÖÐ(δ¼ÓÈë×î¶Ì·¾¶) + if(!final[w]) { + // ¶ÔÓÚͼÀ´Ëµ£¬¾àÀëΪ0Òâζ×ÅÁ½¶¥µã²»Á¬Í¨ + if((G.kind == DG || G.kind == UDG) && D[w] == 0) { + continue; + } + + // Èç¹ûv0µ½wµÄ¾àÀëD[w]СÓÚµ±Ç°Ô¤ÉèµÄ×îС¾àÀ룬ÔòÐèÒª¸üж¥µãºÍ¾àÀëÐÅÏ¢ + if(D[w] < min) { + v = w; // ¼ÇÏÂδ·ÃÎʵĶ¥µãÖоàÀëv0¸ü½üµÄ¶¥µã£¬»òÕß¿ÉÒÔÀí½âΪ¼Ç϶¥µã¼¯V-SÖоàÀ붥µã¼¯S¸ü½üµÄ¶¥µã + min = D[w]; // ¼Çϸü½üµÄ¾àÀë + } + } + } + + // ÕÒµ½Á˸ü½üµÄ¶¥µã + if(v != -1) { + // ½«¶¥µã¼¯V-SÖе±Ç°¾àÀëv0¶¥µã×î½üµÄv¼ÓÈëS¼¯ + final[v] = TRUE; + } else { + // Èç¹ûûÕÒµ½¸ü½üµÄ¶¥µã£¬ËµÃ÷¶¥µãv0ÓëV-SÖеÄÊ£ÓඥµãûÓÐÁ¬½Ó£¬´Ëʱ¿ÉÒÔÖ±½Ó½áÊø³ÌÐòÁË + return; + } + + // ÒÔÉÏÊöµÄ¶¥µãv×öÌø°å£¬¸üж¥µãv0µ½V-S¼¯ÖÐÆäÓàµã¶¥µãµÄ×î¶Ì·¾¶ + for(w = 0; w < G.vexnum; w++) { + // Èç¹ûÊÇÍø£¬Ö»×ß´Ë·ÖÖ§(½Ì²ÄÖ»´¦ÀíÁË´ËÖÖÇéÐÎ) + if(G.kind == DN || G.kind == UDN) { + /* + * ΪÁ˱ÜÃâÒç³ö£¬ÐèҪȷ±£adjs[v][w]²»ÎªINFINITE¡£ + * ´Ë´¦Æäʵû±ØÒªÅжÏmin!=INFINITE£¬ÒòΪÈç¹ûûÕÒµ½¸ü½üµÄ¶¥µãʱ£¬ÉÏÃæ¾ÍÌáÇ°·µ»ØÁË¡£ + * (½Ì²ÄµÄαÂëÖÐδ´¦ÀíÒç³ö£¬¹ÊÐèÒª×ÔÐÐÌí¼Ó) + */ + if(min != INFINITE && adjs[v][w] != INFINITE) { + // ¸üж¥µã¼¯Sµ½¶¥µã¼¯V-SµÄ×î½ü¾àÀë + if(!final[w] && (min + adjs[v][w] < D[w])) { + // ¸üоàÀ룺ÓÉÓÚ¶¥µãv0->w¾­ÓÉvºó»á»ñµÃ¸ü¶ÌµÄ¾àÀ룬¹Ê´Ë´¦ÐèÒª¼ÇϸþàÀë + D[w] = min + adjs[v][w]; + + /* ¸üз¾¶£ºP[w] = P[v] + [w] */ + + // ÏȽ«v0->wµÄ·¾¶¸üÐÂΪv0->jµÄ·¾¶ + for(j = 0; j < G.vexnum; j++) { + P[w][j] = P[v][j]; + } + + // ÔÙ½«wÌí¼Óµ½v0->wµÄ·¾¶ÖÐ + P[w][w] = TRUE; + } + } + } + + // Èç¹ûÊÇͼ£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DG || G.kind == UDG) { + // ¸üж¥µã¼¯Sµ½¶¥µã¼¯V-SµÄ×î½ü¾àÀë + if(!final[w] && adjs[v][w] != 0 && D[w] == 0) { + // ¸üоàÀ룺ÓÉÓÚ¶¥µãv0->w¾­ÓÉvºó»á»ñµÃ¸ü¶ÌµÄ¾àÀ룬¹Ê´Ë´¦ÐèÒª¼ÇϸþàÀë + D[w] = D[v] + 1; // ͼÖÐÏàÁÚ¶¥µã²½³¤Îª1 + + /* ¸üз¾¶£ºP[w] = P[v] + [w] */ + + // ÏȽ«v0->wµÄ·¾¶¸üÐÂΪv0->jµÄ·¾¶ + for(j = 0; j < G.vexnum; j++) { + P[w][j] = P[v][j]; + } + + // ÔÙ½«wÌí¼Óµ½v0->wµÄ·¾¶ÖÐ + P[w][w] = TRUE; + } + } + } + } +} + +/* + * ´òӡʹÓõϽÜ˹ÌØÀ­(Dijkstra)Ëã·¨ÇóÈ¡µÄµ¥Ô´×î¶Ì·¾¶ + */ +void PrintPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D) { + int j; + + // ±éÀúËùÓз¾¶ + for(j = 0; j < G.vexnum; j++) { + if(P[j][v0] == FALSE) { + printf("%c µ½ %c Ö®¼äûÓÐͨ·\n", GetVex(G, v0), GetVex(G, j)); + continue; + } + + printf("%c µ½ %c Ö®¼äµÄ×î¶Ì¾àÀëΪ%2d£¬Æä×î¶Ì·¾¶Îª£º", GetVex(G, v0), GetVex(G, j), D[j]); + + /* + * ½«v0->jÖ®¼äµÄÎÞÐò¶¥µãÅÅÁгÉÒ»ÌõÓÐÐò·¾¶ºó´òÓ¡ + * P[i]ָʾv0->jÕâÌõ·¾¶ÉϾ­¹ýµÄ¶¥µã + */ + PrintPath(G, v0, j, P[j]); + } +} + +/* + * ´òÓ¡´Óaµ½bµÄ·¾¶£¬¸Ã·¾¶µÄ¶¥µãÐÅϢλÓÚPÖÐ + */ +static void PrintPath(ALGraph G, int a, int b, Boolean P[MAX_VERTEX_NUM]) { + int i; + int vexs[MAX_VERTEX_NUM + 1]; + int path[MAX_VERTEX_NUM + 1]; + + vexs[0] = 0; + + // »ñÈ¡v0->iÕâÌõ;¾¶ÉϵÄËùÓж¥µã£¬¿ÉÄÜÊÇÎÞÐòµÄ + for(i = 0; i < G.vexnum; i++) { + if(P[i] == TRUE) { + vexs[0]++; + vexs[vexs[0]] = i; + } + } + + // Ö»ÓÐÁ½¸ö¶¥µãµÄÇéÐÎÏ¿ìËÙ´¦Àí + if(vexs[0] == 2) { + path[0] = 2; + path[1] = a; + path[2] = b; + goto print; + } + + // Ö»ÓÐÈý¸ö¶¥µãµÄÇéÐÎÏ¿ìËÙ´¦Àí + if(vexs[0] == 3) { + path[0] = 3; + path[1] = a; + for(i = 1; i <= vexs[0]; i++) { + if(vexs[i] != a && vexs[i] != b) { + path[2] = vexs[i]; + break; + } + } + path[3] = b; + goto print; + } + + path[0] = 1; + path[1] = a; + + for(i = 1; i <= vexs[0]; i++) { + if(vexs[i] == a) { + vexs[i] = -1; + break; + } + } + + Find(G, a, b, vexs, path); + +print: + // ´òÓ¡ÅÅÁкõÄ·¾¶ + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + + printf("\n"); +} + +/* + * ÀûÓùã¶ÈÔ¤ÏÈËÑË÷ÕÒµ½Ò»Ìõ´Ópreµ½bµÄ·¾¶£¬¸Ã·¾¶ÉÏ·¹ýµÄËùÓж¥µãλÓÚvexsÖУ¬ÕÒ³öµÄ·¾¶´æ´¢µ½pathÖÐ + */ +static Status Find(ALGraph G, int pre, int b, int vexs[MAX_VERTEX_NUM + 1], int path[MAX_VERTEX_NUM + 1]) { + int i; + int tmp; + Status s; + + for(i = 1; i <= vexs[0]; i++) { + // ÒѼÓÈ뵽·¾¶ + if(vexs[i] == -1) { + continue; + } + + // ²»Á¬Í¨ + if(((G.kind == DN || G.kind == UDN) && adjs[pre][vexs[i]] == INFINITE) + || ((G.kind == DG || G.kind == UDG) && adjs[pre][vexs[i]] == 0)) { + continue; + } + + path[0]++; + path[path[0]] = vexs[i]; + + // Óöµ½ÖÕµã + if(vexs[i] == b) { + // ÕÒµ½ÁË×î¶Ì·¾¶ + if(path[0] == vexs[0]) { + return OK; + } else { + path[0]--; + continue; + } + } + + tmp = vexs[i]; + vexs[i] = -1; + + s = Find(G, tmp, b, vexs, path); + + if(s == OK) { + return OK; + } else { + // »Ö¸´¸Ã¶¥µã£¬ÒÔ±ãºóÐøÖØÐÂËÑË÷ + vexs[i] = tmp; + path[0]--; + } + } + + return ERROR; +} diff --git a/Dev-C++/ExerciseBook/07.42/ShortestPaths.h b/Dev-C++/ExerciseBook/07.42/ShortestPaths.h new file mode 100644 index 0000000..d28d204 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.42/ShortestPaths.h @@ -0,0 +1,59 @@ +/*==================== + * ×î¶Ì·¾¶Ëã·¨ + * + * °üº¬Ëã·¨: 7.15¡¢7.16 + =====================*/ + +#ifndef SHORTESTPATHS_H +#define SHORTESTPATHS_H + +#include +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +// ȨֵµÄ×î´óÖµ£¬ÓÃÔÚÍøÖУ¬±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ +#define INFINITE INT_MAX + + +// DijkstraËã·¨ÖеÄ×î¶Ì·¾¶¾ØÕó£¬ÊÇÒ»¸ö¶þάÊý×é +typedef Boolean PathMatrix_DIJ[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; +// DijkstraËã·¨ÖеÄ×î¶Ì·¾¶´ú¼Û£¬¸Ã´ú¼Û¿ÉÄÜÊDz½³¤ºÍ£¬Ò²¿ÉÄÜÊÇȨֵºÍ +typedef int ShortPathTable_DIJ[MAX_VERTEX_NUM]; + + +/* + * Ó¦µ±ÔÚÖ´ÐеϽÜ˹ÌØÀ­Ë㷨֮ǰ±»µ÷Óã¬ÓÃÀ´¼ÆËã¸÷¶¥µãÖ®¼äµÄ¹Øϵ¡£ + */ +void GetAdjs(ALGraph G); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.15 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * µÏ½Ü˹ÌØÀ­(Dijkstra)Ëã·¨Çóµ¥Ô´×î¶Ì·¾¶ + * + * @param G ´ý±éÀúµÄͼ¡£ + * @param v0 µ¥Ô´×î¶Ì·¾¶µÄÆðµã¡£ + * @param P ´æ´¢´Óv0µ½ÆäÓà¸÷¶¥µãµÄ×î¶Ì·¾¶ÐÅÏ¢¡£ + * P[j][k]==TRUE´ú±í´Óv0->jµÄ×î¶Ì·¾¶»á¾­¹ý¶¥µãk£»·ñÔò£¬´ú±í²»¾­¹ý¡£ + * ×¢£º¸ÃÊý×éÖ»·´Ó³Á˶¥µãµÄ´æÔÚÐÔ£¬¶øδ·´Ó³¶¥µãÔÚ·¾¶ÉϵĴÎÐò¡£ + * @param D ´æ´¢´Óv0µ½ÆäÓà¸÷¶¥µãµÄ×î¶Ì·¾¶´ú¼Û£¬ÔÚͼÖУ¬¸Ã´ú¼ÛÊDz½³¤ºÍ£¬ÔÚÍøÖУ¬¸Ã´ú¼ÛÊÇȨֵºÍ¡£ + */ +void ShortestPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D); + +/* + * ´òӡʹÓõϽÜ˹ÌØÀ­(Dijkstra)Ëã·¨ÇóÈ¡µÄµ¥Ô´×î¶Ì·¾¶ + */ +void PrintPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D); + +/* + * ´òÓ¡´Óaµ½bµÄ·¾¶£¬¸Ã·¾¶µÄ¶¥µãÐÅϢλÓÚPÖÐ + */ +static void PrintPath(ALGraph G, int a, int b, Boolean P[MAX_VERTEX_NUM]) ; + +/* + * ÀûÓùã¶ÈÔ¤ÏÈËÑË÷ÕÒµ½Ò»Ìõ´Ópreµ½bµÄ·¾¶£¬¸Ã·¾¶ÉÏ·¹ýµÄËùÓж¥µãλÓÚvexsÖУ¬ÕÒ³öµÄ·¾¶´æ´¢µ½pathÖÐ + */ +static Status Find(ALGraph G, int pre, int b, int vexs[MAX_VERTEX_NUM], int path[MAX_VERTEX_NUM]); + +#endif diff --git a/Dev-C++/ExerciseBook/07.42/TestData_DG.txt b/Dev-C++/ExerciseBook/07.42/TestData_DG.txt new file mode 100644 index 0000000..8bd9909 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.42/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú14 +»¡Êý¡ú20 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L£¬M£¬N¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬C¡¿¡¾A£¬F¡¿¡¾B£¬A¡¿¡¾B£¬H¡¿¡¾C£¬B¡¿¡¾D£¬G¡¿¡¾E£¬H¡¿¡¾E£¬C¡¿¡¾F£¬I¡¿¡¾F£¬G¡¿¡¾H£¬E¡¿¡¾H£¬J¡¿¡¾I£¬E¡¿¡¾I£¬D¡¿¡¾I£¬G¡¿¡¾J£¬D¡¿¡¾L£¬N¡¿¡¾N£¬M¡¿¡¾M£¬L¡¿¡¾M£¬K¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.42/TestData_DN.txt b/Dev-C++/ExerciseBook/07.42/TestData_DN.txt new file mode 100644 index 0000000..20d59bd --- /dev/null +++ b/Dev-C++/ExerciseBook/07.42/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú14 +»¡Êý¡ú20 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L£¬M£¬N¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬C£¬15¡¿¡¾A£¬F£¬1¡¿¡¾B£¬A£¬5¡¿¡¾B£¬H£¬4¡¿¡¾C£¬B£¬5¡¿¡¾D£¬G£¬2¡¿¡¾E£¬H£¬20¡¿¡¾E£¬C£¬4¡¿¡¾F£¬I£¬5¡¿¡¾F£¬G£¬15¡¿¡¾H£¬E£¬2¡¿¡¾H£¬J£¬1¡¿¡¾I£¬E£¬3¡¿¡¾I£¬D£¬3¡¿¡¾I£¬G£¬8¡¿¡¾J£¬D£¬2¡¿¡¾L£¬N£¬2¡¿¡¾N£¬M£¬3¡¿¡¾M£¬L£¬1¡¿¡¾M£¬K£¬4¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.42/TestData_UDG.txt b/Dev-C++/ExerciseBook/07.42/TestData_UDG.txt new file mode 100644 index 0000000..ecdc733 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.42/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú14 +±ßÊý¡ú18 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L£¬M£¬N¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬C¡¿¡¾C£¬E¡¿¡¾E£¬I¡¿¡¾I£¬G¡¿¡¾G£¬D¡¿¡¾A£¬B¡¿¡¾C£¬B¡¿¡¾E£¬B¡¿¡¾E£¬H¡¿¡¾H£¬J¡¿¡¾J£¬D¡¿¡¾A£¬F¡¿¡¾F£¬I¡¿¡¾F£¬G¡¿¡¾L£¬M¡¿¡¾L£¬N¡¿¡¾M£¬N¡¿¡¾M£¬K¡¿ \ No newline at end of file diff --git a/Dev-C++/ExerciseBook/07.42/TestData_UDN.txt b/Dev-C++/ExerciseBook/07.42/TestData_UDN.txt new file mode 100644 index 0000000..9cce592 --- /dev/null +++ b/Dev-C++/ExerciseBook/07.42/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú14 +±ßÊý¡ú18 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L£¬M£¬N¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬C£¬2¡¿¡¾C£¬E£¬8¡¿¡¾E£¬I£¬4¡¿¡¾I£¬G£¬5¡¿¡¾G£¬D£¬2¡¿¡¾A£¬B£¬10¡¿¡¾C£¬B£¬5¡¿¡¾E£¬B£¬3¡¿¡¾E£¬H£¬3¡¿¡¾H£¬J£¬1¡¿¡¾J£¬D£¬2¡¿¡¾A£¬F£¬15¡¿¡¾F£¬I£¬3¡¿¡¾F£¬G£¬4¡¿¡¾L£¬M£¬10¡¿¡¾L£¬N£¬3¡¿¡¾M£¬N£¬2¡¿¡¾M£¬K£¬1¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.c b/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.c new file mode 100644 index 0000000..9255fac --- /dev/null +++ b/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.c @@ -0,0 +1,181 @@ +#include +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ´´½¨Í¼/±í + */ +Status CreateGraph_7_14(ALGraph* G, char* path[]); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_16(ALGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_16(ALGraph* G, VertexType v); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_16(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_16(ALGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ/Íø...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph_7_14(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý¶¥µã...\n"); + { + VertexType v = 'X'; + + printf("ɾ³ý¶¥µã '%c' ºóµÄͼΪ£º\n", v); + DeleteVex_7_16(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈ붥µã...\n"); + { + VertexType v = 'Y'; + + printf("²åÈ붥µã '%c' ºóµÄͼΪ£º\n", v); + InsertVex_7_16(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈë±ß/»¡...\n"); + { + // ×¢£ºÊÇÖظ´µÄ±ß + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + InfoType info[10] = {{8}, {5}, {1}, {11}, {2}, {6}, {3}, {7}, {2}, {9}}; + int k; + + // ͼ + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("²åÈëÎÞȨֵµÄ±ß£º<%c, %c>...\n", v[k], w[k]); + InsertArc_7_16(&G, v[k], w[k]); + } + + // Íø + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("²åÈë´øȨֵµÄ±ß£º<%c, %c, %d>...\n", v[k], w[k], info[k].weight); + InsertArc_7_16(&G, v[k], w[k], &info[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý±ß/»¡...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("ɾ³ý±ß£º<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_16(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * ´´½¨Í¼/±í + */ +Status CreateGraph_7_14(ALGraph* G, char* path[]) { + return CreateGraph(G, path); +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_16(ALGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_16(ALGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_16(ALGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + return InsertArc(G, v, w, info); +} + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_16(ALGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.vcxproj b/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.vcxproj new file mode 100644 index 0000000..ec8e399 --- /dev/null +++ b/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.vcxproj @@ -0,0 +1,82 @@ + + + + + Debug + Win32 + + + Release + Win32 + + + + {B272A428-EFD7-4970-BBE1-A5F31E0C8911} + My07140716 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.vcxproj.filters b/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.vcxproj.filters new file mode 100644 index 0000000..493746d --- /dev/null +++ b/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.vcxproj.filters @@ -0,0 +1,44 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.vcxproj.user b/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.14+07.16/07.14+07.16.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.14+07.16/ALGraph.c b/VisualC++/ExerciseBook/07.14+07.16/ALGraph.c new file mode 100644 index 0000000..1008648 --- /dev/null +++ b/VisualC++/ExerciseBook/07.14+07.16/ALGraph.c @@ -0,0 +1,737 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo);// Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢(´Ë´¦Ó¦µ±°üº¬) + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(ALGraph* G, VertexType v) { + int k; + + // ¶¥µãÊý¹ý¶à + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // Ö¸¶¨µÄ¶¥µã´æÔÚʱ£¬ÎÞÐèÖظ´Ìí¼Ó + } + + G->vertices[(*G).vexnum].data = v; + G->vertices[(*G).vexnum].firstarc = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(ALGraph* G, VertexType v) { + int k, i; + ArcNode* pre, * r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ÕÒµ½ÒÔ½áµãv³ö·¢µÄÁ´±í£¬ÊͷŸÃÁ´±íÉÏËùÓнáµã + r = G->vertices[k].firstarc; + while(r != NULL) { + pre = r; + r = r->nextarc; + free(pre); + + (*G).arcnum--; + } + + G->vertices[k].firstarc = NULL; + + // ±éÀúÆäËüËùÓÐÁ´±í£¬É¾³ýÄÇЩָÏò¶¥µãvµÄ»¡£»¶øÇÒ£¬Ï±곬¹ýkµÄ¶¥µã£¬ÆäϱêÖµÐèÒªµÝ¼õ + for(i = 0; i < G->vexnum; i++) { + pre = NULL; + r = G->vertices[i].firstarc; + while(r != NULL && r->adjvex < k) { + pre = r; + r = r->nextarc; + } + + // Á´±íÉÏËùÓж¥µãµÄϱê¾ùСÓÚk + if(r == NULL) { + continue; + } + + if(r->adjvex == k) { + // ´Ó¿ªÍ·É¾µô½áµãv + if(pre == NULL) { + G->vertices[i].firstarc = r->nextarc; + + // ´ÓÖмäij¸öλÖÃɾµô½áµãv + } else { + pre->nextarc = r->nextarc; + } + + free(r); + + // Èç¹ûÕâÊÇÓÐÏòµÄͼ/Íø£¬ÒÀÈ»ÐèÒªµÝ¼õ±ß/»¡µÄÊýÁ¿ + if((*G).kind == DG || (*G).kind == DN) { + (*G).arcnum--; + } + } + + // ÔÙ´ÎÈ·¶¨rµÄλÖà + if(pre == NULL) { + r = G->vertices[i].firstarc; + } else { + r = pre->nextarc; + } + + // ϱ곬¹ýkµÄ¶¥µã£¬ÐèÒªµÝ¼õÆäϱê + while(r != NULL && r->adjvex > k) { + r->adjvex -= 1; + r = r->nextarc; + } + } + + // ¶¥µã¼¯Ç°ÒÆ + for(i = k + 1; i < (*G).vexnum; i++) { + G->vertices[i - 1] = G->vertices[i]; + } + + // ¶¥µãÊýµÝ¼õ + (*G).vexnum--; + + return OK; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + for(count = 0; count < 2; count++) { + pre = NULL; + // ÔÚµ±Ç°Á´±íÖÐÕÒµ½´ýɾ³ýµÄ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // ÕÒµ½ÁË´ýɾ³ýµÄ±ß/»¡ + if(r != NULL && r->adjvex == head) { + if(pre == NULL) { + G->vertices[tail].firstarc = r->nextarc; + } else { + pre->nextarc = r->nextarc; + } + + free(r); + } else { + return ERROR; // ûÕÒµ½ + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹tailºÍhead + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + (*G).arcnum--; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»¼õÒ» + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.14+07.16/ALGraph.h b/VisualC++/ExerciseBook/07.14+07.16/ALGraph.h new file mode 100644 index 0000000..954d08c --- /dev/null +++ b/VisualC++/ExerciseBook/07.14+07.16/ALGraph.h @@ -0,0 +1,162 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(ALGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(ALGraph* G, VertexType v); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.14+07.16/TestData_DG.txt b/VisualC++/ExerciseBook/07.14+07.16/TestData_DG.txt new file mode 100644 index 0000000..ae011ea --- /dev/null +++ b/VisualC++/ExerciseBook/07.14+07.16/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬B¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.14+07.16/TestData_DN.txt b/VisualC++/ExerciseBook/07.14+07.16/TestData_DN.txt new file mode 100644 index 0000000..c41b879 --- /dev/null +++ b/VisualC++/ExerciseBook/07.14+07.16/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬B£¬5¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.14+07.16/TestData_UDG.txt b/VisualC++/ExerciseBook/07.14+07.16/TestData_UDG.txt new file mode 100644 index 0000000..6c08d74 --- /dev/null +++ b/VisualC++/ExerciseBook/07.14+07.16/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.14+07.16/TestData_UDN.txt b/VisualC++/ExerciseBook/07.14+07.16/TestData_UDN.txt new file mode 100644 index 0000000..2117df2 --- /dev/null +++ b/VisualC++/ExerciseBook/07.14+07.16/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.15/07.15.c b/VisualC++/ExerciseBook/07.15/07.15.c new file mode 100644 index 0000000..b59fb02 --- /dev/null +++ b/VisualC++/ExerciseBook/07.15/07.15.c @@ -0,0 +1,191 @@ +#include +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "MGraph.h" //**¡ø07 ͼ**// + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_15(MGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_15(MGraph* G, VertexType v); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_15(MGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_15(MGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ/Íø...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý¶¥µã...\n"); + { + VertexType v = 'X'; + + printf("ɾ³ý¶¥µã '%c' ºóµÄͼΪ£º\n", v); + DeleteVex_7_15(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈ붥µã...\n"); + { + VertexType v = 'Y'; + + printf("²åÈ붥µã '%c' ºóµÄͼΪ£º\n", v); + InsertVex_7_15(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈë±ß/»¡...\n"); + { + // ×¢£ºÊÇÖظ´µÄ±ß + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + VRType adj[10] = {8, 5, 1, 11, 2, 6, 3, 7, 2, 9}; + int k; + + // ͼ + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("²åÈëÎÞȨֵµÄ±ß£º<%c, %c>...\n", v[k], w[k]); + InsertArc_7_15(&G, v[k], w[k]); + } + + // Íø + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("²åÈë´øȨֵµÄ±ß£º<%c, %c, %d>...\n", v[k], w[k], adj[k]); + InsertArc_7_15(&G, v[k], w[k], adj[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý±ß/»¡...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("ɾ³ý±ß£º<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_15(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_15(MGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_15(MGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_15(MGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + VRType adj; + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + + // ͼ + if((*G).kind == DG || (*G).kind == UDG) { + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + return InsertArc(G, v, w, info); + + // Íø + } else if((*G).kind == DN || (*G).kind == UDN) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + + adj = va_arg(ap, VRType); // »ñȡȨֵÐÅÏ¢ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + } + + va_end(ap); + + return InsertArc(G, v, w, adj, info); + } else { + return ERROR; + } +} + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_15(MGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/VisualC++/ExerciseBook/07.15/07.15.vcxproj b/VisualC++/ExerciseBook/07.15/07.15.vcxproj new file mode 100644 index 0000000..6f83d19 --- /dev/null +++ b/VisualC++/ExerciseBook/07.15/07.15.vcxproj @@ -0,0 +1,82 @@ + + + + + Debug + Win32 + + + Release + Win32 + + + + {F2C7C449-A4B9-46D2-ACB6-D5A1C52F7814} + My0715 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.15/07.15.vcxproj.filters b/VisualC++/ExerciseBook/07.15/07.15.vcxproj.filters new file mode 100644 index 0000000..74dc74a --- /dev/null +++ b/VisualC++/ExerciseBook/07.15/07.15.vcxproj.filters @@ -0,0 +1,44 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.15/07.15.vcxproj.user b/VisualC++/ExerciseBook/07.15/07.15.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.15/07.15.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.15/MGraph.c b/VisualC++/ExerciseBook/07.15/MGraph.c new file mode 100644 index 0000000..24c4dfb --- /dev/null +++ b/VisualC++/ExerciseBook/07.15/MGraph.c @@ -0,0 +1,719 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#include "MGraph.h" //**¡ø07 ͼ**// + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨Í¼/±í + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÓÐÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // ÓÐÏòÍøÿÌõ»¡µÄ³õʼֵ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòÍøµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + scanf("%d", &w); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ÔÚÖ¸¶¨µÄ¶¥µã¹ØϵÉϼǼȨֵ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = w; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÎÞÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo); // ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÎÞÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + + // Ìî³ä¶Ô³Æµã + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.2 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // ÎÞÏòÍøÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÎÞÏòÍøµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo); // ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÎÞÏòÍøµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + scanf("%d", &w); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ÔÚÖ¸¶¨µÄ¶¥µã¹ØϵÉϼǼȨֵ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = w; + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + + // Ìî³ä¶Ô³Æµã + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info) { + //¼Èë±ß/»¡µÄÐÅÏ¢£¬±¾²âÊÔÉæ¼°µ½µÄ±ß/»¡Ä¬ÈÏÎÞÆäËû¸½¼ÓÐÅÏ¢ +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(MGraph* G, VertexType v) { + int i, k; + VRType adj; + + // ¶¥µãÊý¹ý¶à + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // Ö¸¶¨µÄ¶¥µã´æÔÚʱ£¬ÎÞÐèÖظ´Ìí¼Ó + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if((*G).kind == DG || (*G).kind == UDG) { + adj = 0; // ͼ + } else if((*G).kind == DN || (*G).kind == UDN) { + adj = INFINITE; // Íø + } else { + return ERROR; + } + + (*G).vexs[(*G).vexnum] = v; + (*G).vexnum++; + + for(i = 0; i < (*G).vexnum; i++) { + (*G).arcs[i][(*G).vexnum - 1].adj = adj; + (*G).arcs[(*G).vexnum - 1][i].adj = adj; + } + + return OK; +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(MGraph* G, VertexType v) { + int i, j, k; + VRType adj; + + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if((*G).kind == DG || (*G).kind == UDG) { + adj = 0; // ͼ + } else if((*G).kind == DN || (*G).kind == UDN) { + adj = INFINITE; // Íø + } else { + return ERROR; + } + + // ¸üбß/»¡µÄÊýÁ¿ + for(i = 0; i < (*G).vexnum; i++) { + // Èç¹û´æÔÚ´Ó¶¥µãv³ö·¢µÄ±ß£¬Ôò±ßµÄÊýÁ¿¼õÒ» + if((*G).arcs[k][i].adj != adj) { + (*G).arcnum--; + } + + // Èç¹ûÕâÊÇÓÐÏòµÄͼ/Íø£¬ÒÀÈ»ÐèÒª¸üбß/»¡µÄÊýÁ¿ + if((*G).kind == DG || (*G).kind == DN) { + // Èç¹û´æÔÚµ½´ï¶¥µãvµÄ±ß£¬Ôò±ßµÄÊýÁ¿¼õÒ» + if((*G).arcs[i][k].adj != adj) { + (*G).arcnum--; + } + } + } + + // ½«ÁÚ½Ó¾ØÕóÖеĶ¥µã¹Øϵ×óÒÆ + for(j = k + 1; j < (*G).vexnum; j++) { + for(i = 0; i < (*G).vexnum; i++) { + (*G).arcs[i][j - 1] = (*G).arcs[i][j]; // ÓұߵÄÁÐŲµ½×ó±ßµÄÁÐ + } + } + + // ½«ÁÚ½Ó¾ØÕóÖеĶ¥µã¹ØϵÉÏÒÆ + for(i = k + 1; i < (*G).vexnum; i++) { + // ×¢£¬ÓÉÓÚÉÏÃæ½øÐÐ×óÒƵĹØϵ£¬ËùÒÔÕâÀïµÄjÊÇСÓÚ(*G).vexnum - 1 + for(j = 0; j < (*G).vexnum - 1; j++) { + (*G).arcs[i - 1][j] = (*G).arcs[i][j]; // ÏÂÒ»ÐÐŲµ½ÉÏÒ»ÐÐ + } + } + + // ½«¸Ã¶¥µã´Ó¶¥µã¼¯ÖÐÒƳý + for(i = k + 1; i < (*G).vexnum; i++) { + (*G).vexs[i - 1] = (*G).vexs[i]; + } + + // ¶¥µãÊý¼õÒ» + (*G).vexnum--; + + return OK; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc(MGraph* G, VertexType v, VertexType w, ...) { + int kv, kw; + VRType adj; // ¶¥µã¹Øϵ + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + kv = LocateVex(*G, v); + if(kv == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + kw = LocateVex(*G, w); + if(kw == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(kv == kw) { + return ERROR; + } + + /* È·¶¨Ò»¸ö¶¥µã¹Øϵ */ + + // ¶ÔÓÚͼÀ´Ëµ£¬Á¬Í¨¹ØϵÓÃ1±íʾ + if((*G).kind == DG || (*G).kind == UDG) { + adj = 1; + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + overlay = (*G).arcs[kv][kw].adj != 0; + + // ¶ÔÓÚÍøÀ´Ëµ£¬´Ë´¦ÐèÒª´Ó¿É±ä²ÎÊýÖлñȡȨֵÐÅÏ¢ + } else if((*G).kind == DN || (*G).kind == UDN) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + + adj = va_arg(ap, VRType); // »ñȡȨֵÐÅÏ¢ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + } + + va_end(ap); + + overlay = (*G).arcs[kv][kw].adj != INFINITE; + } else { + return ERROR; + } + + (*G).arcs[kv][kw].adj = adj; // ¼Ç¼¶¥µã¹Øϵ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢£¬Ôò¼Ç¼¸½¼Ó¹Øϵ + if(IncInfo) { + (*G).arcs[kv][kw].info = info; + } + + // Èç¹ûÊÇÎÞÏòͼ/Íø£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((*G).kind == UDG || (*G).kind == UDN) { + (*G).arcs[kw][kv] = (*G).arcs[kv][kw]; + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc(MGraph* G, VertexType v, VertexType w) { + int kv, kw; + VRType adj; + Boolean found = FALSE; // ÊÇ·ñ´æÔÚ´ýɾ³ýµÄ±ß/»¡ + + kv = LocateVex(*G, v); + if(kv == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + kw = LocateVex(*G, w); + if(kw == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if((*G).kind == DG || (*G).kind == UDG) { + adj = 0; // ͼ + + found = (*G).arcs[kv][kw].adj != 0; + } else if((*G).kind == DN || (*G).kind == UDN) { + adj = INFINITE; // Íø + + found = (*G).arcs[kv][kw].adj != INFINITE; + } else { + return ERROR; + } + + // ±ê¼ÇÕâÁ½¸ö¶¥µãÒѶϿªÁ¬½Ó + (*G).arcs[kv][kw].adj = adj; + + // Èç¹ûÊÇÎÞÏòͼ/Íø£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((*G).kind == UDG || (*G).kind == UDN) { + (*G).arcs[kw][kv] = (*G).arcs[kv][kw]; + } + + // ÔÚÕÒµ½ÁËÖ¸¶¨µÄ»¡Ê±£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(found) { + (*G).arcnum--; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»¼õÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.15/MGraph.h b/VisualC++/ExerciseBook/07.15/MGraph.h new file mode 100644 index 0000000..01a3543 --- /dev/null +++ b/VisualC++/ExerciseBook/07.15/MGraph.h @@ -0,0 +1,161 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ + void* v; // Ìí¼ÓÒ»¸öÎÞÒâÒåµÄ±äÁ¿À´Õ¼Î»£¬Èç¹û½á¹¹ÌåΪ¿ÕµÄ»°£¬ÔÚVC++Öлᱨ´í +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(MGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(MGraph* G); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.2 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(MGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(MGraph* G, VertexType v); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc(MGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc(MGraph* G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.15/TestData_DG.txt b/VisualC++/ExerciseBook/07.15/TestData_DG.txt new file mode 100644 index 0000000..ae011ea --- /dev/null +++ b/VisualC++/ExerciseBook/07.15/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬B¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.15/TestData_DN.txt b/VisualC++/ExerciseBook/07.15/TestData_DN.txt new file mode 100644 index 0000000..4baec42 --- /dev/null +++ b/VisualC++/ExerciseBook/07.15/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬B£¬5¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.15/TestData_UDG.txt b/VisualC++/ExerciseBook/07.15/TestData_UDG.txt new file mode 100644 index 0000000..6c08d74 --- /dev/null +++ b/VisualC++/ExerciseBook/07.15/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.15/TestData_UDN.txt b/VisualC++/ExerciseBook/07.15/TestData_UDN.txt new file mode 100644 index 0000000..ed04fb4 --- /dev/null +++ b/VisualC++/ExerciseBook/07.15/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.17/07.17.c b/VisualC++/ExerciseBook/07.17/07.17.c new file mode 100644 index 0000000..384edfe --- /dev/null +++ b/VisualC++/ExerciseBook/07.17/07.17.c @@ -0,0 +1,169 @@ +#include +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "OLGraph.h" //**¡ø07 ͼ**// + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_17(OLGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_17(OLGraph* G, VertexType v); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_17(OLGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_17(OLGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + OLGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ/Íø...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý¶¥µã...\n"); + { + VertexType v = 'X'; + + printf("ɾ³ý¶¥µã '%c' ºóµÄͼΪ£º\n", v); + DeleteVex_7_17(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈ붥µã...\n"); + { + VertexType v = 'Y'; + + printf("²åÈ붥µã '%c' ºóµÄͼΪ£º\n", v); + InsertVex_7_17(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈë±ß/»¡...\n"); + { + // ×¢£ºÊÇÖظ´µÄ±ß + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + InfoType info[10] = {{8}, {5}, {1}, {11}, {2}, {6}, {3}, {7}, {2}, {9}}; + int k; + + // ͼ + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("²åÈëÎÞȨֵµÄ±ß£º<%c, %c>...\n", v[k], w[k]); + InsertArc_7_17(&G, v[k], w[k]); + } + + // Íø + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("²åÈë´øȨֵµÄ±ß£º<%c, %c, %d>...\n", v[k], w[k], info[k].weight); + InsertArc_7_17(&G, v[k], w[k], &info[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý±ß/»¡...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("ɾ³ý±ß£º<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_17(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_17(OLGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_17(OLGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_17(OLGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + return InsertArc(G, v, w, info); +} + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_17(OLGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/VisualC++/ExerciseBook/07.17/07.17.vcxproj b/VisualC++/ExerciseBook/07.17/07.17.vcxproj new file mode 100644 index 0000000..19c5be5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.17/07.17.vcxproj @@ -0,0 +1,82 @@ + + + + + Debug + Win32 + + + Release + Win32 + + + + {D1637FE7-8B48-4B0B-81A2-66984FE46CA4} + My0717 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.17/07.17.vcxproj.filters b/VisualC++/ExerciseBook/07.17/07.17.vcxproj.filters new file mode 100644 index 0000000..eecace0 --- /dev/null +++ b/VisualC++/ExerciseBook/07.17/07.17.vcxproj.filters @@ -0,0 +1,44 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.17/07.17.vcxproj.user b/VisualC++/ExerciseBook/07.17/07.17.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.17/07.17.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.17/OLGraph.c b/VisualC++/ExerciseBook/07.17/OLGraph.c new file mode 100644 index 0000000..28d0b69 --- /dev/null +++ b/VisualC++/ExerciseBook/07.17/OLGraph.c @@ -0,0 +1,861 @@ +/*==================== + * ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.3 + ====================*/ + +#include "OLGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸ÃͼµÄ±ßÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(OLGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÓÐÏòͼ + * + * ×¢£º + * ½Ì²ÄÖÐʹÓÃÁËÍ·²å·¨À´²åÈ뻡£¬ÕâÖÖ×ö·¨µÄΨһÓŵãÊDzåÈë·½±ã£¬ + * µ«ÊÇÔÚÉæ¼°µ½É¾³ý»ò²éÕÒʱ£¬Ð§Âʽϵͣ» + * ¶øÇÒ£¬"Í·²å·¨"ÒÀÀµÊäÈëµÄ˳Ðò£¬Èç¹ûÊäÈëµÄ±ß/»¡ÊÇÂÒÐòµÄ£¬ + * Ôò×îÖÕ¹¹Ôì³öµÄͼ/ÍøÖеıß/»¡Ò²ÊÇÎÞÐòµÄ¡£ + * + * ΪÁË¿Ë·þÒÔÉÏȱµã£¬ÕâÀï¸ÄÓÃ"ÉýÐò"²åÈë·¨£¬±£Ö¤²åÈëµÄ»¡ÊÇ"ÉýÐò"µÄ¡£ + * µ«Í¬Ê±£¬ÕâÑù×ö»áʹ"²åÈë"Ëã·¨±äµÃ½ÏΪ¸´ÔÓ¡£ + */ +static Status CreateDG(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo);// Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢(´Ë´¦Ó¦µ±°üº¬) + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼È뻡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(OLGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(OLGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.xlist[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(OLGraph* G, VertexType v) { + int k; + + // ¶¥µãÊý¹ý¶à + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // Ö¸¶¨µÄ¶¥µã´æÔÚʱ£¬ÎÞÐèÖظ´Ìí¼Ó + } + + G->xlist[(*G).vexnum].data = v; + G->xlist[(*G).vexnum].firstin = NULL; + G->xlist[(*G).vexnum].firstout = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(OLGraph* G, VertexType v) { + int k, i; + ArcBox* pre, * r; + ArcBox* pre2, * r2; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ÕÒµ½ÒÔ½áµãv³ö·¢µÄÁ´±í£¬ÊͷŸÃÁ´±íÉÏËùÓнáµã + r = G->xlist[k].firstout; + while(r != NULL) { + pre = r; + r = r->tlink; + + // ÔÚ×ÝÏòÁ´±íÉϲéÕÒpreµÄλÖà + pre2 = NULL; + r2 = G->xlist[pre->headvex].firstin; // ÖÁ´Ë£¬r2Ò»¶¨²»ÎªNULL + while(r2 != NULL && r2->tailvex != k) { + pre2 = r2; + r2 = r2->hlink; + } + + // ÖÁ´Ë£¬r2Ò»¶¨Ö¸ÏòÁË´ýɾ³ýµÄ»¡ + if(pre2 == NULL) { + G->xlist[pre->headvex].firstin = r2->hlink; + } else { + pre2->hlink = r2->hlink; + } + + free(pre); + + (*G).arcnum--; + } + + G->xlist[k].firstout = NULL; + + // ±éÀúÆäËüËùÓÐÁ´±í£¬É¾³ýÄÇЩָÏò¶¥µãvµÄ»¡£»¶øÇÒ£¬Ï±곬¹ýkµÄ¶¥µã£¬ÆäϱêÖµÐèÒªµÝ¼õ + for(i = 0; i < G->vexnum; i++) { + pre = NULL; + r = G->xlist[i].firstout; + while(r != NULL && r->headvex < k) { + if(r->tailvex > k) { + r->tailvex -= 1; + } + pre = r; + r = r->tlink; + } + + // Á´±íÉÏËùÓж¥µãµÄϱê¾ùСÓÚk + if(r == NULL) { + continue; + } + + if(r->headvex == k) { + // ´Ó¿ªÍ·É¾µô½áµãv + if(pre == NULL) { + G->xlist[i].firstout = r->tlink; + + // ´ÓÖмäij¸öλÖÃɾµô½áµãv + } else { + pre->tlink = r->tlink; + } + + // ÔÚ×ÝÏòÁ´±íÉϲéÕÒrµÄλÖà + pre2 = NULL; + r2 = G->xlist[k].firstin; // ÖÁ´Ë£¬r2Ò»¶¨²»ÎªNULL + while(r2 != NULL && r2->tailvex != r->tailvex) { + pre2 = r2; + r2 = r2->hlink; + } + + // ÖÁ´Ë£¬r2Ò»¶¨Ö¸ÏòÁË´ýɾ³ýµÄ»¡ + if(pre2 == NULL) { + G->xlist[k].firstin = r2->hlink; + } else { + pre2->hlink = r2->hlink; + } + + free(r); + + // Èç¹ûÕâÊÇÓÐÏòµÄͼ/Íø£¬ÒÀÈ»ÐèÒªµÝ¼õ±ß/»¡µÄÊýÁ¿ + if((*G).kind == DG || (*G).kind == DN) { + (*G).arcnum--; + } + } + + // ÔÙ´ÎÈ·¶¨rµÄλÖà + if(pre == NULL) { + r = G->xlist[i].firstout; + } else { + r = pre->tlink; + } + + // ϱ곬¹ýkµÄ¶¥µã£¬ÐèÒªµÝ¼õÆäϱê + while(r != NULL) { + if(r->tailvex > k) { + r->tailvex -= 1; + } + + if(r->headvex > k) { + r->headvex -= 1; + } + + r = r->tlink; + } + } + + // ¶¥µã¼¯Ç°ÒÆ + for(i = k + 1; i < (*G).vexnum; i++) { + G->xlist[i - 1] = G->xlist[i]; + } + + // ¶¥µãÊýµÝ¼õ + (*G).vexnum--; + + return OK; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info) { + ArcBox* p = (ArcBox*) malloc(sizeof(ArcBox)); + if(!p) { + exit(OVERFLOW); + } + + p->tailvex = tailvex; + p->headvex = headvex; + + p->hlink = hlink; + p->tlink = tlink; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcBox* p; + ArcBox* pre; + ArcBox* r; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + + // ÔÚºáÏòÁ´±íÉϲéÕÒºÏÊʵIJåÈëλÖà + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->xlist[tail].firstout; + while(r != NULL && r->headvex < head) { + pre = r; + r = r->tlink; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->headvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + p = newArcBoxPtr(tail, head, NULL, r, info); + + if(pre == NULL) { + G->xlist[tail].firstout = p; + } else { + pre->tlink = p; + } + } + + // Èç¹ûûÓз¢Éú¸²¸Ç£¬ËµÃ÷²åÈëÁËнáµã£¬´ËʱÐèÒª¿¼ÂÇÆäÔÚ×ÝÏòÁ´±íÉϵÄλÖà + if(overlay == FALSE) { + // ÔÚ×ÝÏòÁ´±íÉϲéÕÒºÏÊʵIJåÈëλÖà + pre = NULL; + // Ö¸ÏòÒÔheadΪͷµÄÊ×Ìõ±ß/»¡ + r = G->xlist[head].firstin; + while(r != NULL && r->tailvex < tail) { + pre = r; + r = r->hlink; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->tailvex == tail) { + // ²»»áÖ´Ðе½ÕâÀÒòΪÈç¹û·¢ÉúÁ˸²¸Ç£¬Ç°Ãæ½ø²»À´ + } else { + /* ÖÁ´Ë£¬½áµãpÒѾ­´æÔÚÁË */ + + if(pre == NULL) { + p->hlink = G->xlist[head].firstin; + G->xlist[head].firstin = p; + } else { + p->hlink = pre->hlink; + pre->hlink = p; + } + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(OLGraph* G, VertexType v, VertexType w) { + int tail, head, k, count; + ArcBox* pre, * r; + ArcBox* pre2, * r2; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + for(count = 0; count < 2; count++) { + pre = NULL; + // ÔÚºáÏòÁ´±íÖÐÕÒµ½´ýɾ³ýµÄ±ß/»¡ + r = G->xlist[tail].firstout; + while(r != NULL && r->headvex < head) { + pre = r; + r = r->tlink; + } + + // ÕÒµ½ÁË´ýɾ³ýµÄ±ß/»¡ + if(r != NULL && r->headvex == head) { + if(pre == NULL) { + G->xlist[tail].firstout = r->tlink; + } else { + pre->tlink = r->tlink; + } + + // ÔÚ×ÝÏòÁ´±íÉϲéÕÒrµÄλÖà + pre2 = NULL; + r2 = G->xlist[head].firstin; // ÖÁ´Ë£¬r2Ò»¶¨²»ÎªNULL + while(r2 != NULL && r2->tailvex != r->tailvex) { + pre2 = r2; + r2 = r2->hlink; + } + + // ÖÁ´Ë£¬r2Ò»¶¨Ö¸ÏòÁË´ýɾ³ýµÄ»¡ + if(pre2 == NULL) { + G->xlist[head].firstin = r2->hlink; + } else { + pre2->hlink = r2->hlink; + } + + free(r); + } else { + return ERROR; // ûÕÒµ½ + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹tailºÍhead + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + (*G).arcnum--; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»¼õÒ» + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(OLGraph G) { + int i, head; + ArcBox* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.xlist[i].data); + + head = 0; + p = G.xlist[i].firstout; + + while(p != NULL) { + if(head < p->headvex) { + if(IncInfo == 0) { + printf(" "); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf(" "); + } + } else { + if(IncInfo == 0) { + printf("<%c, %c>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("<%c, %c, %2d>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data, p->info->weight); + } + + p = p->tlink; + } + + head++; + + if(p != NULL) { + printf(" "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.17/OLGraph.h b/VisualC++/ExerciseBook/07.17/OLGraph.h new file mode 100644 index 0000000..dc80aba --- /dev/null +++ b/VisualC++/ExerciseBook/07.17/OLGraph.h @@ -0,0 +1,178 @@ +/*==================== + * ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.3 + ====================*/ + +#ifndef OLGRAPH_H +#define OLGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢ÓÐÏòͼ¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcBox { + int tailvex; // »¡Í·¶¥µãλÖà + int headvex; // »¡Î²¶¥µãλÖà + struct ArcBox* hlink; // Ö¸ÏòÏÂÒ»¸öÓµÓÐÏàͬ»¡Í·µÄ»¡ + struct ArcBox* tlink; // Ö¸ÏòÏÂÒ»¸öÓµÓÐÏàͬ»¡Î²µÄ»¡ + InfoType* info; // ¸Ã»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +} ArcBox; + +// ÿ¸öºáÏòÁ´±íµÄÍ·½áµã +typedef struct VexNode { + VertexType data; // ¶¥µã + ArcBox* firstin; // Ö¸Ïò¸Ã¶¥µãµÄµÚÒ»ÌõÈ뻡 + ArcBox* firstout; // Ö¸Ïò¸Ã¶¥µãµÄµÚÒ»Ìõ³ö»¡ +} VexNode; + +/* ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VexNode xlist[MAX_VERTEX_NUM]; // ±íÍ·ÏòÁ¿ + int vexnum, arcnum; // ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} OLGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(OLGraph* G, char* path[]); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÓÐÏòͼ + * + * ×¢£º + * ½Ì²ÄÖÐʹÓÃÁËÍ·²å·¨À´²åÈ뻡£¬ÕâÖÖ×ö·¨µÄΨһÓŵãÊDzåÈë·½±ã£¬ + * µ«ÊÇÔÚÉæ¼°µ½É¾³ý»ò²éÕÒʱ£¬Ð§Âʽϵͣ» + * ¶øÇÒ£¬"Í·²å·¨"ÒÀÀµÊäÈëµÄ˳Ðò£¬Èç¹ûÊäÈëµÄ±ß/»¡ÊÇÂÒÐòµÄ£¬ + * Ôò×îÖÕ¹¹Ôì³öµÄͼ/ÍøÖеıß/»¡Ò²ÊÇÎÞÐòµÄ¡£ + * + * ΪÁË¿Ë·þÒÔÉÏȱµã£¬ÕâÀï¸ÄÓÃ"ÉýÐò"²åÈë·¨£¬±£Ö¤²åÈëµÄ»¡ÊÇ"ÉýÐò"µÄ¡£ + * µ«Í¬Ê±£¬ÕâÑù×ö»áʹ"²åÈë"Ëã·¨±äµÃ½ÏΪ¸´ÔÓ¡£ + */ +static Status CreateDG(OLGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(OLGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(OLGraph* G); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(OLGraph* G); + +/* + * ¼È뻡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(OLGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(OLGraph G, VertexType u); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(OLGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(OLGraph* G, VertexType v); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(OLGraph* G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(OLGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.17/TestData_DG.txt b/VisualC++/ExerciseBook/07.17/TestData_DG.txt new file mode 100644 index 0000000..ae011ea --- /dev/null +++ b/VisualC++/ExerciseBook/07.17/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬B¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.17/TestData_DN.txt b/VisualC++/ExerciseBook/07.17/TestData_DN.txt new file mode 100644 index 0000000..c41b879 --- /dev/null +++ b/VisualC++/ExerciseBook/07.17/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú6 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬B£¬5¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.17/TestData_UDG.txt b/VisualC++/ExerciseBook/07.17/TestData_UDG.txt new file mode 100644 index 0000000..6c08d74 --- /dev/null +++ b/VisualC++/ExerciseBook/07.17/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.17/TestData_UDN.txt b/VisualC++/ExerciseBook/07.17/TestData_UDN.txt new file mode 100644 index 0000000..2117df2 --- /dev/null +++ b/VisualC++/ExerciseBook/07.17/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.c b/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.c new file mode 100644 index 0000000..fb299e2 --- /dev/null +++ b/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.c @@ -0,0 +1,181 @@ +#include +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "AMLGraph.h" //**¡ø07 ͼ**// + +/* + * ´´½¨Í¼/±í + */ +Status CreateGraph_7_19(AMLGraph* G, char* path[]); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_18(AMLGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_18(AMLGraph* G, VertexType v); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_18(AMLGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_18(AMLGraph* G, VertexType v, VertexType w); + + +int main(int argc, char* argv[]) { + AMLGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ/Íø...\n"); + { + char* path[4]; + + path[0] = ""; + path[1] = ""; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph_7_19(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý¶¥µã...\n"); + { + VertexType v = 'X'; + + printf("ɾ³ý¶¥µã '%c' ºóµÄͼΪ£º\n", v); + DeleteVex_7_18(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈ붥µã...\n"); + { + VertexType v = 'Y'; + + printf("²åÈ붥µã '%c' ºóµÄͼΪ£º\n", v); + InsertVex_7_18(&G, v); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²åÈë±ß/»¡...\n"); + { + // ×¢£ºÊÇÖظ´µÄ±ß + VertexType v[10] = {'B', 'C', 'E', 'Y', 'Y', 'Y', 'D', 'D', 'E', 'E'}; + VertexType w[10] = {'Y', 'Y', 'Y', 'A', 'B', 'D', 'C', 'A', 'B', 'D'}; + InfoType info[10] = {{8}, {5}, {1}, {11}, {2}, {6}, {3}, {7}, {2}, {9}}; + int k; + + // ͼ + if(G.kind == DG || G.kind == UDG) { + for(k = 0; k < 10; k++) { + printf("²åÈëÎÞȨֵµÄ±ß£º<%c, %c>...\n", v[k], w[k]); + InsertArc_7_18(&G, v[k], w[k]); + } + + // Íø + } else if(G.kind == DN || G.kind == UDN) { + for(k = 0; k < 10; k++) { + printf("²åÈë´øȨֵµÄ±ß£º<%c, %c, %d>...\n", v[k], w[k], info[k].weight); + InsertArc_7_18(&G, v[k], w[k], &info[k]); + } + } else { + return ERROR; + } + + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ɾ³ý±ß/»¡...\n"); + { + VertexType v[3] = {'D', 'E', 'F'}; + VertexType w[3] = {'A', 'B', 'B'}; + int k; + + for(k = 0; k < 3; k++) { + printf("ɾ³ý±ß£º<%c, %c>...\n", v[k], w[k]); + DeleteArc_7_18(&G, v[k], w[k]); + } + PrintGraph(G); + printf("\n"); + } + + return 0; +} + + +/* + * ´´½¨Í¼/±í + */ +Status CreateGraph_7_19(AMLGraph* G, char* path[]) { + return CreateGraph(G, path); +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex_7_18(AMLGraph* G, VertexType v) { + return InsertVex(G, v); +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex_7_18(AMLGraph* G, VertexType v) { + return DeleteVex(G, v); +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢£» + * ¶ÔÓÚÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÒÀ´ÎÁгö±ß/»¡µÄȨֵÒÔ¼°¸½¼ÓÐÅÏ¢¡£ + */ +Status InsertArc_7_18(AMLGraph* G, VertexType v, VertexType w, ...) { + va_list ap; + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + return InsertArc(G, v, w, info); +} + +/* + * ɾ³ý±ß/»¡ + * + * ´Ëɾ³ýÖ»ÊǸüбß/»¡µÄÁ¬Í¨¹Øϵ + */ +Status DeleteArc_7_18(AMLGraph* G, VertexType v, VertexType w) { + return DeleteArc(G, v, w); +} diff --git a/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.vcxproj b/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.vcxproj new file mode 100644 index 0000000..5fa09df --- /dev/null +++ b/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.vcxproj @@ -0,0 +1,80 @@ + + + + + Debug + Win32 + + + Release + Win32 + + + + {3FF8A41C-0672-4B72-8677-E8F0438B848F} + My07180719 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.vcxproj.filters b/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.vcxproj.filters new file mode 100644 index 0000000..eecb14b --- /dev/null +++ b/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.vcxproj.filters @@ -0,0 +1,38 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.vcxproj.user b/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.18-07.19/07.18-07.19.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.18-07.19/AMLGraph.c b/VisualC++/ExerciseBook/07.18-07.19/AMLGraph.c new file mode 100644 index 0000000..b165d56 --- /dev/null +++ b/VisualC++/ExerciseBook/07.18-07.19/AMLGraph.c @@ -0,0 +1,715 @@ +/*===================== + * ͼµÄÁÚ½Ó¶àÖرí´æ´¢±íʾ + ======================*/ + +#include "AMLGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸ÃͼµÄ±ßÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(AMLGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ(Ö»½ÓÊÜÎÞÏòµÄͼ/Íø) + if(kind < 2 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÎÞÏòͼ»òÎÞÏòÍøµÄÒ»ÖÖ + switch((*G).kind) { + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(AMLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).edgenum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(AMLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).edgenum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).adjmulist[i].data)); + (*G).adjmulist[i].firstedge = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(AMLGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(AMLGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.adjmulist[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(AMLGraph* G, VertexType v) { + int k; + + // ¶¥µãÊý¹ý¶à + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // Ö¸¶¨µÄ¶¥µã´æÔÚʱ£¬ÎÞÐèÖظ´Ìí¼Ó + } + + G->adjmulist[(*G).vexnum].data = v; + G->adjmulist[(*G).vexnum].firstedge = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(AMLGraph* G, VertexType v) { + int i, k, other; + EBox* p; + EBox* pre, * r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + while((p = G->adjmulist[k].firstedge) != NULL) { + if(p->ivex == k) { + G->adjmulist[k].firstedge = p->ilink; + other = p->jvex; + } else if(p->jvex == k) { + G->adjmulist[k].firstedge = p->jlink; + other = p->ivex; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + + pre = NULL; + r = G->adjmulist[other].firstedge; + + // ²éÕұߣ¬¿Ï¶¨ÄÜÕÒµ½ + while(r != NULL) { + if(r->ivex == other && r->jvex < k) { + pre = r; + r = r->ilink; + } else if(r->jvex == other && r->ivex < k) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == other && r->jvex == k) { + if(pre == NULL) { + G->adjmulist[other].firstedge = r->ilink; + } else { + if(pre->ivex == other) { + pre->ilink = r->ilink; + } else if(pre->jvex == other) { + pre->jlink = r->ilink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else if(r != NULL && r->jvex == other && r->ivex == k) { + if(pre == NULL) { + G->adjmulist[other].firstedge = r->jlink; + } else { + if(pre->ivex == other) { + pre->ilink = r->jlink; + } else if(pre->jvex == other) { + pre->jlink = r->jlink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else { + // ²»»áÖÁ´Ë£¬ÒòΪ¿Ï¶¨ÄÜÕÒµ½ + } + + free(p); + + (*G).edgenum--; // ±ßÊý¼õÒ» + } + + // ϱ곬¹ýkµÄ¶¥µã£¬ÐèÒªµÝ¼õÆäϱê + for(i = k + 1; i < (*G).vexnum; i++) { + r = G->adjmulist[i].firstedge; + + while(r!=NULL){ + if(r->ivex==i) { + r->ivex--; + r = r->ilink; + } else if(r->jvex==i) { + r->jvex--; + r = r->jlink; + } else { + // ²»»áÖÁ´Ë + } + } + } + + // ¶¥µã¼¯Ç°ÒÆ + for(i = k + 1; i < (*G).vexnum; i++) { + G->adjmulist[i - 1] = G->adjmulist[i]; + } + + // ¶¥µãÊýµÝ¼õ + (*G).vexnum--; + + return OK; +} + +/* + * ¹¹ÔìÒ»¸ö±ß½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static EBox* newEBoxPtr(VisitIf mark, int ivex, int jvex, EBox* ilink, EBox* jlink, InfoType* info) { + EBox* p = (EBox*) malloc(sizeof(EBox)); + if(!p) { + exit(OVERFLOW); + } + + p->mark = mark; + + p->ivex = ivex; + p->jvex = jvex; + + p->ilink = ilink; + p->jlink = jlink; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß + * + * µ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÇÒÓÉÓÚÌØÊâµÄ½á¹¹£¬Ê¹µÃ²åÈëÒ»Ìõ±ßʱֻÐèÒªÔö¼ÓÒ»¶Ô¶¥µã¹Øϵ£¬±ßµÄÊýÁ¿ÒÀÈ»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ßµÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ßµÄȨֵ¡£ + */ +Status InsertArc(AMLGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k; + EBox* p; + EBox* pre; + EBox* r; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ßµÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ßÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + pre = NULL; + r = G->adjmulist[tail].firstedge; + + while(r != NULL) { + if(r->ivex == tail && r->jvex < head) { + pre = r; + r = r->ilink; + } else if(r->jvex == tail && r->ivex < head) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == tail && r->jvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else if(r != NULL && r->jvex == tail && r->ivex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + p = newEBoxPtr(unvisit, tail, head, r, NULL, info); + + if(pre == NULL) { + G->adjmulist[tail].firstedge = p; + } else { + if(pre->ivex == tail) { + pre->ilink = p; + } else if(pre->jvex == tail) { + pre->jlink = p; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } + + if(!overlay) { + pre = NULL; + r = G->adjmulist[head].firstedge; + + while(r != NULL) { + if(r->ivex == head && r->jvex < tail) { + pre = r; + r = r->ilink; + } else if(r->jvex == head && r->ivex < tail) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + p->jlink = r; + + if(pre == NULL) { + G->adjmulist[head].firstedge = p; + } else { + if(pre->ivex == head) { + pre->ilink = p; + } else if(pre->jvex == head) { + pre->jlink = p; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } + + (*G).edgenum++; // ±ßÊýÔöÒ» + + return OK; +} + +/* + * ɾ³ý±ß + */ +Status DeleteArc(AMLGraph* G, VertexType v, VertexType w) { + int tail, head; + EBox* r; + EBox* pre; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + pre = NULL; + r = G->adjmulist[tail].firstedge; + + while(r != NULL) { + if(r->ivex == tail && r->jvex < head) { + pre = r; + r = r->ilink; + } else if(r->jvex == tail && r->ivex < head) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == tail && r->jvex == head) { + if(pre == NULL) { + G->adjmulist[tail].firstedge = r->ilink; + } else { + if(pre->ivex == tail) { + pre->ilink = r->ilink; + } else if(pre->jvex == tail) { + pre->jlink = r->ilink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else if(r != NULL && r->jvex == tail && r->ivex == head) { + if(pre == NULL) { + G->adjmulist[tail].firstedge = r->jlink; + } else { + if(pre->ivex == tail) { + pre->ilink = r->jlink; + } else if(pre->jvex == tail) { + pre->jlink = r->jlink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else { + return ERROR; // δÕÒµ½ + } + + + pre = NULL; + r = G->adjmulist[head].firstedge; + + while(r != NULL) { + if(r->ivex == head && r->jvex < tail) { + pre = r; + r = r->ilink; + } else if(r->jvex == head && r->ivex < tail) { + pre = r; + r = r->jlink; + } else { + break; + } + } + + if(r != NULL && r->ivex == head && r->jvex == tail) { + if(pre == NULL) { + G->adjmulist[head].firstedge = r->ilink; + } else { + if(pre->ivex == head) { + pre->ilink = r->ilink; + } else if(pre->jvex == head) { + pre->jlink = r->ilink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else if(r != NULL && r->jvex == head && r->ivex == tail) { + if(pre == NULL) { + G->adjmulist[head].firstedge = r->jlink; + } else { + if(pre->ivex == head) { + pre->ilink = r->jlink; + } else if(pre->jvex == head) { + pre->jlink = r->jlink; + } else { + // ûÓÐÆäËû¿ÉÄÜ + } + } + } else { + // ²»»áÖÁ´Ë£¬ÒòΪǰÃæÕÒµ½ÁË£¬´Ë´¦¿Ï¶¨Ò²ÄÜÕÒµ½ + } + + free(r); // ÊÍ·ÅÄÚ´æ + + (*G).edgenum--; // ±ßÊý¼õÒ» + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(AMLGraph G) { + int i, cur, pos; + EBox* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß...\n", G.vexnum, G.edgenum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.adjmulist[i].data); + + cur = 0; + p = G.adjmulist[i].firstedge; + + while(p != NULL) { + if(p->ivex == i) { + pos = p->jvex; + } else { + pos = p->ivex; + } + + if(cur < pos) { + if(IncInfo == 0) { + printf(" "); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf(" "); + } + } else { + if(IncInfo == 0) { + printf("%c", G.adjmulist[pos].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d]", G.adjmulist[pos].data, p->info->weight); + } + + if(p->ivex == i) { + p = p->ilink; + } else { + p = p->jlink; + } + } + + cur++; + + if(p != NULL) { + printf(" "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.18-07.19/AMLGraph.h b/VisualC++/ExerciseBook/07.18-07.19/AMLGraph.h new file mode 100644 index 0000000..5045840 --- /dev/null +++ b/VisualC++/ExerciseBook/07.18-07.19/AMLGraph.h @@ -0,0 +1,162 @@ +/*===================== + * ͼµÄÁÚ½Ó¶àÖرí´æ´¢±íʾ + ======================*/ + +#ifndef AMLGRAPH_H +#define AMLGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢ÎÞÏòͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ£»´Ë´¦²»Ö§³Ö + DN, // 1-ÓÐÏòÍø(´øȨֵ)£»´Ë´¦²»Ö§³Ö + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + + +/* ÎÞÏòͼ£¨ÁÚ½Ó¶àÖØ±í£©ÀàÐͶ¨Òå */ +typedef enum { + unvisit, visit +} VisitIf; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß½áµã */ +typedef struct EBox { + VisitIf mark; // ·ÃÎʱê¼Ç + int ivex; // ¸Ã±ßÒÀ¸½µÄÁ½¸ö¶¥µãµÄλÖà + int jvex; // ¸Ã±ßÒÀ¸½µÄÁ½¸ö¶¥µãµÄλÖà + struct EBox* ilink; // ·Ö±ðÖ¸ÏòÒÀ¸½ÕâÁ½¸ö¶¥µãµÄÏÂÒ»Ìõ±ß + struct EBox* jlink; // ·Ö±ðÖ¸ÏòÒÀ¸½ÕâÁ½¸ö¶¥µãµÄÏÂÒ»Ìõ±ß + InfoType* info; +} EBox; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VexBox { + VertexType data; // ¶¥µãÐÅÏ¢ + EBox* firstedge; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ±ßµÄÖ¸Õë +} VexBox; + +/* ͼµÄÁÚ½Ó¶àÖرí´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VexBox adjmulist[MAX_VERTEX_NUM]; // ±íÍ·ÏòÁ¿ + int vexnum, edgenum; // ͼ/ÍøµÄ¶¥µãÊýºÍ±ßÊý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} AMLGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(AMLGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(AMLGraph* G); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(AMLGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(AMLGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(AMLGraph G, VertexType u); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(AMLGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(AMLGraph* G, VertexType v); + +/* + * ¹¹ÔìÒ»¸ö±ß½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static EBox* newEBoxPtr(VisitIf mark, int ivex, int jvex, EBox* ilink, EBox* jlink, InfoType* info); + +/* + * ²åÈë±ß + * + * µ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÇÒÓÉÓÚÌØÊâµÄ½á¹¹£¬Ê¹µÃ²åÈëÒ»Ìõ±ßʱֻÐèÒªÔö¼ÓÒ»¶Ô¶¥µã¹Øϵ£¬±ßµÄÊýÁ¿ÒÀÈ»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ßµÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ßµÄȨֵ¡£ + */ +Status InsertArc(AMLGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß + */ +Status DeleteArc(AMLGraph* G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(AMLGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.18-07.19/TestData_UDG.txt b/VisualC++/ExerciseBook/07.18-07.19/TestData_UDG.txt new file mode 100644 index 0000000..6c08d74 --- /dev/null +++ b/VisualC++/ExerciseBook/07.18-07.19/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬E¡¿¡¾C£¬X¡¿¡¾E£¬A¡¿¡¾E£¬D¡¿¡¾E£¬X¡¿¡¾X£¬A¡¿¡¾X£¬D¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.18-07.19/TestData_UDN.txt b/VisualC++/ExerciseBook/07.18-07.19/TestData_UDN.txt new file mode 100644 index 0000000..2117df2 --- /dev/null +++ b/VisualC++/ExerciseBook/07.18-07.19/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú6 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬X£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬3¡¿¡¾A£¬C£¬8¡¿¡¾A£¬D£¬11¡¿¡¾B£¬C£¬7¡¿¡¾B£¬D£¬4¡¿¡¾B£¬E£¬1¡¿¡¾C£¬E£¬17¡¿¡¾C£¬X£¬3¡¿¡¾E£¬A£¬6¡¿¡¾E£¬D£¬4¡¿¡¾E£¬X£¬2¡¿¡¾X£¬A£¬8¡¿¡¾X£¬D£¬10¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.20/07.20.c b/VisualC++/ExerciseBook/07.20/07.20.c new file mode 100644 index 0000000..8412f5a --- /dev/null +++ b/VisualC++/ExerciseBook/07.20/07.20.c @@ -0,0 +1,78 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "MGraph.h" //**¡ø07 ͼ**// + +/* + * ÅжÏͼGÊÇ·ñ¿É´«µÝ + */ +Status Algo_7_20(MGraph G); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + Algo_7_20(G) ? printf("ͼG¿É´«µÝ£¡\n") : printf("ͼG²»¿É´«µÝ£¡\n"); + printf("\n"); + + return 0; +} + + +/* + * ÅжÏͼGÊÇ·ñ¿É´«µÝ + */ +Status Algo_7_20(MGraph G) { + Status trans; + int x, y, z; + int flag; // ²»Á¬Í¨µÄ±ê¼Ç + + // ¶ÔÓÚͼ£¬²»Á¬Í¨±ê¼ÇÊÇ0 + if(G.kind == DG || G.kind == UDG) { + flag = 0; + + // ¶ÔÓÚÍø£¬²»Á¬Í¨±ê¼ÇÊÇINFINITE + } else if(G.kind == DN || G.kind == UDN) { + flag = INFINITE; + } else { + return ERROR; + } + + // Ô¤ÉèΪ¿É´«µÝ + trans = TRUE; + + // ¶ÔÓÚVÖÐÿ¸öx + for(x = 0; x < G.vexnum; x++) { + // N(x)ÖÐÿ¸öy + for(y = 0; y < G.vexnum; y++) { + if(G.arcs[x][y].adj != flag) { + // N(y)Öв»µÈÓÚxµÄÿ¸öz + for(z = 0; z < G.vexnum; z++) { + if(G.arcs[y][z].adj != flag && z != x) { + // z²»ÔÚN(x)ÖÐ + if(G.arcs[x][z].adj == flag) { + // ²»¿É´«µÝ + trans = FALSE; + return trans; + } + } + } + } + } + } + + return trans; +} diff --git a/VisualC++/ExerciseBook/07.20/07.20.png b/VisualC++/ExerciseBook/07.20/07.20.png new file mode 100644 index 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{6B15728F-E00B-46B5-8961-E407695ABF7C} + My0720 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.20/07.20.vcxproj.filters b/VisualC++/ExerciseBook/07.20/07.20.vcxproj.filters new file mode 100644 index 0000000..5e6e5d1 --- /dev/null +++ b/VisualC++/ExerciseBook/07.20/07.20.vcxproj.filters @@ -0,0 +1,44 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.20/07.20.vcxproj.user b/VisualC++/ExerciseBook/07.20/07.20.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.20/07.20.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.20/MGraph.c b/VisualC++/ExerciseBook/07.20/MGraph.c new file mode 100644 index 0000000..b6219a9 --- /dev/null +++ b/VisualC++/ExerciseBook/07.20/MGraph.c @@ -0,0 +1,482 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#include "MGraph.h" //**¡ø07 ͼ**// + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨Í¼/±í + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÓÐÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // ÓÐÏòÍøÿÌõ»¡µÄ³õʼֵ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòÍøµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + scanf("%d", &w); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ÔÚÖ¸¶¨µÄ¶¥µã¹ØϵÉϼǼȨֵ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = w; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÎÞÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo); // ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÎÞÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + + // Ìî³ä¶Ô³Æµã + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.2 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(MGraph* G) { + int i, j, k; + ArcCell arcs = {INFINITE, NULL}; // ÎÞÏòÍøÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + VRType w; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÎÞÏòÍøµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo); // ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÎÞÏòÍøµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + scanf("%d", &w); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &w); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ÔÚÖ¸¶¨µÄ¶¥µã¹ØϵÉϼǼȨֵ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = w; + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + + // Ìî³ä¶Ô³Æµã + (*G).arcs[j][i] = (*G).arcs[i][j]; + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info) { + //¼Èë±ß/»¡µÄÐÅÏ¢£¬±¾²âÊÔÉæ¼°µ½µÄ±ß/»¡Ä¬ÈÏÎÞÆäËû¸½¼ÓÐÅÏ¢ +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.20/MGraph.h b/VisualC++/ExerciseBook/07.20/MGraph.h new file mode 100644 index 0000000..19da8a3 --- /dev/null +++ b/VisualC++/ExerciseBook/07.20/MGraph.h @@ -0,0 +1,130 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ + void* v; // Ìí¼ÓÒ»¸öÎÞÒâÒåµÄ±äÁ¿À´Õ¼Î»£¬Èç¹û½á¹¹ÌåΪ¿ÕµÄ»°£¬ÔÚVC++Öлᱨ´í +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(MGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(MGraph* G); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.2 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.20/TestData_DG.txt b/VisualC++/ExerciseBook/07.20/TestData_DG.txt new file mode 100644 index 0000000..b8bfff7 --- /dev/null +++ b/VisualC++/ExerciseBook/07.20/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú5 +»¡Êý¡ú10 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾A£¬E¡¿¡¾B£¬A¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬D¡¿¡¾E£¬D¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.20/TestData_DN.txt b/VisualC++/ExerciseBook/07.20/TestData_DN.txt new file mode 100644 index 0000000..bf8212d --- /dev/null +++ b/VisualC++/ExerciseBook/07.20/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú5 +»¡Êý¡ú10 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B£¬5¡¿¡¾A£¬C£¬1¡¿¡¾A£¬D£¬2¡¿¡¾A£¬E£¬6¡¿¡¾B£¬A£¬5¡¿¡¾B£¬C£¬2¡¿¡¾B£¬D£¬8¡¿¡¾B£¬E£¬7¡¿¡¾C£¬D£¬2¡¿¡¾E£¬D£¬3¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.20/TestData_UDG.txt b/VisualC++/ExerciseBook/07.20/TestData_UDG.txt new file mode 100644 index 0000000..35622d5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.20/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú5 +±ßÊý¡ú10 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾A£¬E¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬D¡¿¡¾C£¬E¡¿¡¾D£¬E¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.20/TestData_UDN.txt b/VisualC++/ExerciseBook/07.20/TestData_UDN.txt new file mode 100644 index 0000000..eb2425f --- /dev/null +++ b/VisualC++/ExerciseBook/07.20/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú5 +±ßÊý¡ú10 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬1¡¿¡¾A£¬C£¬3¡¿¡¾A£¬D£¬2¡¿¡¾A£¬E£¬1¡¿¡¾B£¬C£¬5¡¿¡¾B£¬D£¬3¡¿¡¾B£¬E£¬6¡¿¡¾C£¬D£¬8¡¿¡¾C£¬E£¬4¡¿¡¾D£¬E£¬7¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.21/07.21.c b/VisualC++/ExerciseBook/07.21/07.21.c new file mode 100644 index 0000000..0b8f01c --- /dev/null +++ b/VisualC++/ExerciseBook/07.21/07.21.c @@ -0,0 +1,75 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ÅжÏͼGÊÇ·ñ¿É´«µÝ + */ +Status Algo_7_21(ALGraph G); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + Algo_7_21(G) ? printf("ͼG¿É´«µÝ£¡\n") : printf("ͼG²»¿É´«µÝ£¡\n"); + printf("\n"); + + return 0; +} + + +/* + * ÅжÏͼGÊÇ·ñ¿É´«µÝ + */ +Status Algo_7_21(ALGraph G) { + Status trans; + int x, y, z; + ArcNode* py, * pz, * px; + + // Ô¤ÉèΪ¿É´«µÝ + trans = TRUE; + + // ¶ÔÓÚVÖÐÿ¸öx + for(x = 0; x < G.vexnum; x++) { + // N(x)ÖÐÿ¸öy + for(py = G.vertices[x].firstarc; py != NULL; py = py->nextarc) { + y = py->adjvex; + + for(pz = G.vertices[y].firstarc; pz != NULL; pz = pz->nextarc) { + z = pz->adjvex; + + // ÅųýÓëxÏàµÈµÄz + if(z != x) { + for(px = G.vertices[x].firstarc; px != NULL; px = px->nextarc) { + if(px->adjvex == z) { + break; // ÕÒµ½zºó¼°Ê±Ìø³ö + } + } + + // Èç¹ûz²»ÔÚN(x)ÖÐ + if(px == NULL) { + trans = FALSE; + return trans; + } + } + + } + } + } + + return trans; +} diff --git a/VisualC++/ExerciseBook/07.21/07.21.png b/VisualC++/ExerciseBook/07.21/07.21.png new file mode 100644 index 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{F65B5E57-8A19-4D71-BCB7-C80BC575A47D} + My0721 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.21/07.21.vcxproj.filters b/VisualC++/ExerciseBook/07.21/07.21.vcxproj.filters new file mode 100644 index 0000000..3e718ed --- /dev/null +++ b/VisualC++/ExerciseBook/07.21/07.21.vcxproj.filters @@ -0,0 +1,44 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.21/07.21.vcxproj.user b/VisualC++/ExerciseBook/07.21/07.21.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.21/07.21.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.21/ALGraph.c b/VisualC++/ExerciseBook/07.21/ALGraph.c new file mode 100644 index 0000000..feecee6 --- /dev/null +++ b/VisualC++/ExerciseBook/07.21/ALGraph.c @@ -0,0 +1,570 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo);// Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢(´Ë´¦Ó¦µ±°üº¬) + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.21/ALGraph.h b/VisualC++/ExerciseBook/07.21/ALGraph.h new file mode 100644 index 0000000..aa625ae --- /dev/null +++ b/VisualC++/ExerciseBook/07.21/ALGraph.h @@ -0,0 +1,143 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.21/TestData_DG.txt b/VisualC++/ExerciseBook/07.21/TestData_DG.txt new file mode 100644 index 0000000..b8bfff7 --- /dev/null +++ b/VisualC++/ExerciseBook/07.21/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú5 +»¡Êý¡ú10 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾A£¬E¡¿¡¾B£¬A¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬D¡¿¡¾E£¬D¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.21/TestData_DN.txt b/VisualC++/ExerciseBook/07.21/TestData_DN.txt new file mode 100644 index 0000000..ad267ed --- /dev/null +++ b/VisualC++/ExerciseBook/07.21/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú5 +»¡Êý¡ú10 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B£¬5¡¿¡¾A£¬C£¬1¡¿¡¾A£¬D£¬2¡¿¡¾A£¬E£¬6¡¿¡¾B£¬A£¬5¡¿¡¾B£¬C£¬2¡¿¡¾B£¬D£¬8¡¿¡¾B£¬E£¬7¡¿¡¾C£¬D£¬2¡¿¡¾E£¬D£¬3¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.21/TestData_UDG.txt b/VisualC++/ExerciseBook/07.21/TestData_UDG.txt new file mode 100644 index 0000000..35622d5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.21/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú5 +±ßÊý¡ú10 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾A£¬E¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾B£¬E¡¿¡¾C£¬D¡¿¡¾C£¬E¡¿¡¾D£¬E¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.21/TestData_UDN.txt b/VisualC++/ExerciseBook/07.21/TestData_UDN.txt new file mode 100644 index 0000000..0cd5c13 --- /dev/null +++ b/VisualC++/ExerciseBook/07.21/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú5 +±ßÊý¡ú10 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬1¡¿¡¾A£¬C£¬3¡¿¡¾A£¬D£¬2¡¿¡¾A£¬E£¬1¡¿¡¾B£¬C£¬5¡¿¡¾B£¬D£¬3¡¿¡¾B£¬E£¬6¡¿¡¾C£¬D£¬8¡¿¡¾C£¬E£¬4¡¿¡¾D£¬E£¬7¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.22-07.23/07.22-07.23.c b/VisualC++/ExerciseBook/07.22-07.23/07.22-07.23.c new file mode 100644 index 0000000..bd95121 --- /dev/null +++ b/VisualC++/ExerciseBook/07.22-07.23/07.22-07.23.c @@ -0,0 +1,213 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * ͨ¹ýÉî¶ÈÓÅÏȱéÀú£¬Êä³ö¶¥µãviµ½vjÖ®¼äµÄ·¾¶ + */ +void Algo_7_22(ALGraph G, VertexType vi, VertexType vj); + +/* + * Éî¶ÈÓÅÏȱéÀúͼG£¬²éÕÒ¶¥µãiµ½¶¥µãjÖ®¼äµÄ·¾¶´æÈëpath + */ +static Status DFS_7_22(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]); + +/* + * ͨ¹ý¹ã¶ÈÓÅÏȱéÀú£¬Êä³ö¶¥µãviµ½vjÖ®¼äµÄ·¾¶ + */ +void Algo_7_23(ALGraph G, VertexType vi, VertexType vj); + +/* + * ¹ã¶ÈÓÅÏȱéÀúͼG£¬²éÕÒ¶¥µãiµ½¶¥µãjÖ®¼äµÄ·¾¶´æÈëpath + */ +static Status BFS_7_23(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Ìâ7.22£ºÍ¨¹ýÉî¶ÈÓÅÏȱéÀúÅжÏÁ½¶¥µã¼äÊÇ·ñ´æÔÚ·¾¶...\n"); + { + VertexType vi = 'A'; + VertexType vj = 'F'; + + Algo_7_22(G, vi, vj); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Ìâ7.23£ºÍ¨¹ý¹ã¶ÈÓÅÏȱéÀúÅжÏÁ½¶¥µã¼äÊÇ·ñ´æÔÚ·¾¶...\n"); + { + VertexType vi = 'A'; + VertexType vj = 'F'; + + Algo_7_23(G, vi, vj); + printf("\n"); + } + + return 0; +} + + +/* + * ͨ¹ýÉî¶ÈÓÅÏȱéÀú£¬Åж϶¥µãviµ½vjÖ®¼äÊÇ·ñ´æÔÚ·¾¶ + */ +void Algo_7_22(ALGraph G, VertexType vi, VertexType vj) { + int i, j, k; + int path[MAX_VERTEX_NUM + 1]; + + for(k = 0; k < G.vexnum; k++) { + visited[k] = FALSE; + } + + i = LocateVex(G, vi); + j = LocateVex(G, vj); + + path[0] = 0; + + if(DFS_7_22(G, i, j, path) == ERROR) { + printf("%c µ½ %c Ö®¼ä²»´æÔÚͨ·£¡\n", vi, vj); + return; + } + + printf("%c µ½ %c Ö®¼äµÄͨ·Ϊ£º", vi, vj); + for(k = 1; k <= path[0]; k++) { + printf("%c ", GetVex(G, path[k])); + } + printf("\n"); +} + +/* + * Éî¶ÈÓÅÏȱéÀúͼG£¬²éÕÒ¶¥µãiµ½¶¥µãjÖ®¼äµÄ·¾¶´æÈëpath + */ +static Status DFS_7_22(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]) { + int w; + + // ½«¶¥µãi¼ÓÈë·¾¶ + visited[i] = TRUE; + path[0]++; + path[path[0]] = i; + + if(i == j) { + return OK; + } + + // ±éÀúviËùÓÐÁÚ½Óµã + for(w = FirstAdjVex(G, GetVex(G, i)); w >= 0; w = NextAdjVex(G, GetVex(G, i), GetVex(G, w))) { + // Ìø¹ýÒÑ·ÃÎʵĶ¥µã + if(visited[w]) { + continue; + } + + // µÝ¹é(Éî¶ÈÓÅÏÈ) + if(DFS_7_22(G, w, j, path) == OK) { + return OK; + } + } + + // ÒƳý¶¥µãi + visited[i] = FALSE; + path[0]--; + + return ERROR; +} + +/* + * ͨ¹ý¹ã¶ÈÓÅÏȱéÀú£¬Åж϶¥µãviµ½vjÖ®¼äÊÇ·ñ´æÔÚ·¾¶ + */ +void Algo_7_23(ALGraph G, VertexType vi, VertexType vj) { + int i, j, k; + int path[MAX_VERTEX_NUM + 1]; + + for(k = 0; k < G.vexnum; k++) { + visited[k] = FALSE; + } + + i = LocateVex(G, vi); + j = LocateVex(G, vj); + + path[0] = 0; + + if(BFS_7_23(G, i, j, path) == ERROR) { + printf("%c µ½ %c Ö®¼ä²»´æÔÚͨ·£¡\n", vi, vj); + return; + } + + printf("%c µ½ %c Ö®¼äµÄͨ·Ϊ£º", vi, vj); + for(k = 1; k <= path[0]; k++) { + printf("%c ", GetVex(G, path[k])); + } + printf("\n"); +} + +/* + * ¹ã¶ÈÓÅÏȱéÀúͼG£¬²éÕÒ¶¥µãiµ½¶¥µãjÖ®¼äµÄ·¾¶´æÈëpath + */ +static Status BFS_7_23(ALGraph G, int i, int j, int path[MAX_VERTEX_NUM + 1]) { + int w; + LinkQueue Q; + QElemType e; + + // ½«¶¥µãi¼ÓÈë·¾¶ + visited[i] = TRUE; + path[0]++; + path[path[0]] = i; + + if(i == j) { + return OK; + } + + // Öÿո¨Öú¶ÓÁÐ + InitQueue(&Q); + + // ±éÀúviËùÓÐÁÚ½Óµã + for(w = FirstAdjVex(G, GetVex(G, i)); w >= 0; w = NextAdjVex(G, GetVex(G, i), GetVex(G, w))) { + // Ìø¹ýÒÑ·ÃÎʵĶ¥µã + if(visited[w]) { + continue; + } + + if(w == j) { + // ½«¶¥µãw¼ÓÈë·¾¶ + visited[w] = TRUE; + path[0]++; + path[path[0]] = w; + return OK; + } + + EnQueue(&Q, w); + } + + // ´ÓÁÚ½Óµã³ö·¢£¬¼ÌÐøÑ°ÕÒÄ¿±ê·¾¶ + while(!QueueEmpty(Q)) { + DeQueue(&Q, &e); + + // µÝ¹é(¹ã¶ÈÓÅÏÈ) + if(BFS_7_23(G, e, j, path) == OK) { + return OK; + } + } + + // ÒƳý¶¥µãi + 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b/VisualC++/ExerciseBook/07.22-07.23/07.22-07.23.vcxproj @@ -0,0 +1,81 @@ + + + + + Debug + Win32 + + + Release + Win32 + + + + {B144CAC0-81E4-4F92-9E6D-252CC12F3FD4} + My07220723 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.22-07.23/07.22-07.23.vcxproj.filters b/VisualC++/ExerciseBook/07.22-07.23/07.22-07.23.vcxproj.filters new file mode 100644 index 0000000..ace575b --- /dev/null +++ b/VisualC++/ExerciseBook/07.22-07.23/07.22-07.23.vcxproj.filters @@ -0,0 +1,41 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.22-07.23/07.22-07.23.vcxproj.user b/VisualC++/ExerciseBook/07.22-07.23/07.22-07.23.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.22-07.23/07.22-07.23.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.22-07.23/ALGraph.c b/VisualC++/ExerciseBook/07.22-07.23/ALGraph.c new file mode 100644 index 0000000..965a07c --- /dev/null +++ b/VisualC++/ExerciseBook/07.22-07.23/ALGraph.c @@ -0,0 +1,405 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vertices[v].data; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(ALGraph G, VertexType v) { + int k; + ArcNode* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(G, v); + if(k == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.vertices[k].firstarc; + if(r == NULL) { + return -1; + } else { + return r->adjvex; + } +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w) { + int kv, kw; + ArcNode* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.vertices[kv].firstarc; + if(r == NULL) { + return -1; // Á´±íΪ¿Õ + } + + // ÔÚÁ´±íÖвéÕÒw + while(r != NULL && r->adjvex < kw) { + r = r->nextarc; + } + + // Èç¹ûûÕÒµ½w + if(r == NULL) { + return -1; + } + + // Èç¹ûÕÒµ½ÁËw£¬µ«ÊÇwºóÃæûÓбðµÄ¶¥µã£¬ÄÇôҲÎÞ·¨·µ»ØÁÚ½Óµã + if(r->adjvex == kw && r->nextarc != NULL) { + return r->nextarc->adjvex; + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.22-07.23/ALGraph.h b/VisualC++/ExerciseBook/07.22-07.23/ALGraph.h new file mode 100644 index 0000000..beac42a --- /dev/null +++ b/VisualC++/ExerciseBook/07.22-07.23/ALGraph.h @@ -0,0 +1,150 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "LinkQueue.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(ALGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.22-07.23/LinkQueue.c b/VisualC++/ExerciseBook/07.22-07.23/LinkQueue.c new file mode 100644 index 0000000..ac47060 --- /dev/null +++ b/VisualC++/ExerciseBook/07.22-07.23/LinkQueue.c @@ -0,0 +1,102 @@ +/*========================= + * ¶ÓÁеÄÁ´Ê½´æ´¢½á¹¹£¨Á´¶Ó£© + ==========================*/ + +#ifndef LINKQUEUE_C +#define LINKQUEUE_C + +#include "LinkQueue.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄÁ´¶Ó¡£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁдøÓÐÍ·½áµã + */ +Status InitQueue(LinkQueue* Q) { + if(Q == NULL) { + return ERROR; + } + + (*Q).front = (*Q).rear = (QueuePtr) malloc(sizeof(QNode)); + if(!(*Q).front) { + exit(OVERFLOW); + } + + (*Q).front->next = NULL; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏÁ´¶ÓÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Á´¶ÓΪ¿Õ + * FALSE: Á´¶Ó²»Îª¿Õ + */ +Status QueueEmpty(LinkQueue Q) { + if(Q.front == Q.rear) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(LinkQueue* Q, QElemType e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL) { + return ERROR; + } + + p = (QueuePtr) malloc(sizeof(QNode)); + if(!p) { + exit(OVERFLOW); + } + + p->data = e; + p->next = NULL; + + (*Q).rear->next = p; + (*Q).rear = p; + + return OK; +} + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(LinkQueue* Q, QElemType* e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL || (*Q).front == (*Q).rear) { + return ERROR; + } + + p = (*Q).front->next; + *e = p->data; + + (*Q).front->next = p->next; + if((*Q).rear == p) { + (*Q).rear = (*Q).front; + } + + free(p); + + return OK; +} + +#endif diff --git a/VisualC++/ExerciseBook/07.22-07.23/LinkQueue.h b/VisualC++/ExerciseBook/07.22-07.23/LinkQueue.h new file mode 100644 index 0000000..a380617 --- /dev/null +++ b/VisualC++/ExerciseBook/07.22-07.23/LinkQueue.h @@ -0,0 +1,64 @@ +/*========================= + * ¶ÓÁеÄÁ´Ê½´æ´¢½á¹¹£¨Á´¶Ó£© + ==========================*/ + +#ifndef LINKQUEUE_H +#define LINKQUEUE_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* Á´¶ÓÔªËØÀàÐͶ¨Òå */ +typedef int QElemType; + +// ¶ÓÁÐÔªËؽṹ +typedef struct QNode { + QElemType data; + struct QNode* next; +} QNode, * QueuePtr; + +// ¶ÓÁнṹ +typedef struct { + QueuePtr front; // ¶ÓÍ·Ö¸Õë + QueuePtr rear; // ¶ÓβָÕë +} LinkQueue; // ¶ÓÁеÄÁ´Ê½´æ´¢±íʾ + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄÁ´¶Ó¡£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁдøÓÐÍ·½áµã + */ +Status InitQueue(LinkQueue* Q); + +/* + * ÅÐ¿Õ + * + * ÅжÏÁ´¶ÓÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Á´¶ÓΪ¿Õ + * FALSE: Á´¶Ó²»Îª¿Õ + */ +Status QueueEmpty(LinkQueue Q); + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(LinkQueue* Q, QElemType e); + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(LinkQueue* Q, QElemType* e); + +#endif diff --git a/VisualC++/ExerciseBook/07.22-07.23/TestData_DG.txt b/VisualC++/ExerciseBook/07.22-07.23/TestData_DG.txt new file mode 100644 index 0000000..c17bb67 --- /dev/null +++ b/VisualC++/ExerciseBook/07.22-07.23/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú6 +»¡Êý¡ú11 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬C¡¿¡¾A£¬D¡¿¡¾B£¬D¡¿¡¾C£¬D¡¿¡¾C£¬E¡¿¡¾D£¬C¡¿¡¾E£¬A¡¿¡¾E£¬B¡¿¡¾E£¬F¡¿¡¾F£¬B¡¿¡¾F£¬D¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.24/07.24.c b/VisualC++/ExerciseBook/07.24/07.24.c new file mode 100644 index 0000000..c01fdb0 --- /dev/null +++ b/VisualC++/ExerciseBook/07.24/07.24.c @@ -0,0 +1,91 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// +#include "MGraph.h" //**¡ø07 ͼ**// + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * ÀûÓÃÕ»¶ÔÓÐÏòÇ¿Á¬Í¨Í¼½øÐÐÉî¶ÈÓÅÏȱéÀú£¬ + * Ï°ÌâÖÐÖ¸³ö²»¾ÐÄàÓÚ¾ßÌåµÄͼ½á¹¹£¬µ«ÊÇÕâÀïÒÀ¾É²ÉÓÃÁËÁÚ½Ó¾ØÕó´æ´¢µÄͼ×÷ΪʾÀý¡£ + */ +Status Algo_7_24(MGraph G); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Éî¶ÈÓÅÏȱéÀúͼ...\n"); + { + Algo_7_24(G); + printf("\n"); + } + + return 0; +} + + +/* + * ÀûÓÃÕ»¶ÔÓÐÏòÇ¿Á¬Í¨Í¼½øÐÐÉî¶ÈÓÅÏȱéÀú£¬ + * Ï°ÌâÖÐÖ¸³ö²»¾ÐÄàÓÚ¾ßÌåµÄͼ½á¹¹£¬µ«ÊÇÕâÀïÒÀ¾É²ÉÓÃÁËÁÚ½Ó¾ØÕó´æ´¢µÄͼ×÷ΪʾÀý¡£ + */ +Status Algo_7_24(MGraph G) { + SqStack S; + SElemType e; + int i; + + if(G.vexnum < 1) { + return ERROR; + } + + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + InitStack(&S); + + // µÚÒ»¸ö¶¥µãÈëÕ» + Push(&S, 0); + visited[0] = TRUE; + printf("%c ", G.vexs[0]); + + while(!StackEmpty(S)) { + GetTop(S, &e); + + for(i = 0; i < G.vexnum; i++) { + if(G.arcs[e][i].adj!=0 && visited[i]==FALSE) { + Push(&S, i); + visited[i] = TRUE; + printf("%c ", G.vexs[i]); + + // Á¢¿ÌÌø³öµ±Ç°Ñ­»·£¬½øÐÐÏÂÒ»ÂÖÉî¶ÈËÑÑ° + 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+ + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.24/07.24.vcxproj.filters b/VisualC++/ExerciseBook/07.24/07.24.vcxproj.filters new file mode 100644 index 0000000..abfb303 --- /dev/null +++ b/VisualC++/ExerciseBook/07.24/07.24.vcxproj.filters @@ -0,0 +1,41 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.24/07.24.vcxproj.user b/VisualC++/ExerciseBook/07.24/07.24.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.24/07.24.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.24/MGraph.c b/VisualC++/ExerciseBook/07.24/MGraph.c new file mode 100644 index 0000000..638d5a9 --- /dev/null +++ b/VisualC++/ExerciseBook/07.24/MGraph.c @@ -0,0 +1,219 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#include "MGraph.h" //**¡ø07 ͼ**// + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨Í¼/±í + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÓÐÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info) { + //¼Èë±ß/»¡µÄÐÅÏ¢£¬±¾²âÊÔÉæ¼°µ½µÄ±ß/»¡Ä¬ÈÏÎÞÆäËû¸½¼ÓÐÅÏ¢ +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.24/MGraph.h b/VisualC++/ExerciseBook/07.24/MGraph.h new file mode 100644 index 0000000..45283af --- /dev/null +++ b/VisualC++/ExerciseBook/07.24/MGraph.h @@ -0,0 +1,113 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ + void* v; // Ìí¼ÓÒ»¸öÎÞÒâÒåµÄ±äÁ¿À´Õ¼Î»£¬Èç¹û½á¹¹ÌåΪ¿ÕµÄ»°£¬ÔÚVC++Öлᱨ´í +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.24/SqStack.c b/VisualC++/ExerciseBook/07.24/SqStack.c new file mode 100644 index 0000000..f0b3b3d --- /dev/null +++ b/VisualC++/ExerciseBook/07.24/SqStack.c @@ -0,0 +1,106 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * È¡Öµ + * + * ·µ»ØÕ»¶¥ÔªËØ£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status GetTop(SqStack S, SElemType* e) { + if(S.base == NULL || S.top == S.base) { + return 0; + } + + // ²»»á¸Ä±äÕ»ÖÐÔªËØ + *e = *(S.top - 1); + + return OK; +} + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // Õ»Âúʱ£¬×·¼Ó´æ´¢¿Õ¼ä + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // ´æ´¢·ÖÅäʧ°Ü + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // ½øÕ»Ïȸ³Öµ£¬Õ»¶¥Ö¸ÕëÔÙ×ÔÔö + *(S->top++) = e; + + return OK; +} + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // ³öÕ»Õ»¶¥Ö¸ÕëÏȵݼõ£¬ÔÙ¸³Öµ + *e = *(--(*S).top); + + return OK; +} diff --git a/VisualC++/ExerciseBook/07.24/SqStack.h b/VisualC++/ExerciseBook/07.24/SqStack.h new file mode 100644 index 0000000..a7a5f21 --- /dev/null +++ b/VisualC++/ExerciseBook/07.24/SqStack.h @@ -0,0 +1,66 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define STACK_INIT_SIZE 100 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define STACKINCREMENT 10 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳ÐòÕ»ÔªËØÀàÐͶ¨Òå */ +typedef int SElemType; + +// ˳ÐòÕ»ÔªËؽṹ +typedef struct { + SElemType* base; // Õ»µ×Ö¸Õë + SElemType* top; // Õ»¶¥Ö¸Õë + int stacksize; // µ±Ç°ÒÑ·ÖÅäµÄ´æ´¢¿Õ¼ä£¬ÒÔÔªËØΪµ¥Î» +} SqStack; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S); + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S); + +/* + * È¡Öµ + * + * ·µ»ØÕ»¶¥ÔªËØ£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status GetTop(SqStack S, SElemType* e); + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e); + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/VisualC++/ExerciseBook/07.24/TestData_DG.txt b/VisualC++/ExerciseBook/07.24/TestData_DG.txt new file mode 100644 index 0000000..e330f24 --- /dev/null +++ b/VisualC++/ExerciseBook/07.24/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú10 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬C¡¿¡¾C£¬D¡¿¡¾D£¬A¡¿¡¾A£¬B¡¿¡¾D£¬E¡¿¡¾E£¬F¡¿¡¾E£¬H¡¿¡¾F£¬D¡¿¡¾F£¬G¡¿¡¾G£¬H¡¿¡¾H£¬E¡¿¡¾B£¬J¡¿¡¾J£¬I¡¿¡¾I£¬B¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.25/07.25.c b/VisualC++/ExerciseBook/07.25/07.25.c new file mode 100644 index 0000000..9fa230d --- /dev/null +++ b/VisualC++/ExerciseBook/07.25/07.25.c @@ -0,0 +1,134 @@ +#include +#include "Graph.h" + +// ·ÃÎʱêÖ¾ +typedef enum { + UnVisited, // δ·ÃÎÊ + Visited, // ÒÑ·ÃÎÊ + InPath, // ÔÚ·¾¶ÉÏ +} FLAG; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static FLAG flags[MAX_VERTEX_NUM]; + + +/* + * ÕÒ³öÓÐÏòͼÖеĻØ· + */ +void Algo_7_25(Graph G); + +/* + * ´Óstart¶¥µã¿ªÊ¼²éÕһط¡£ + * + * pathÓÃÀ´´æ´¢Â·¹ýµÄ¶¥µã£¬path[0]´æ´¢pathÖеĶ¥µãÊýÁ¿¡£ + * + * Èç¹ûÕÒµ½»Ø·£¬·µ»Ø»Ø·Æðʼ¶¥µãµÄÐòºÅ£» + * Èç¹ûûÕÒµ½»Ø·£¬Ôò·µ»Ø-1¡£ + */ +int Circuit_7_25(Graph G, int start, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + Graph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path = "TestData_DG.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒͼÖеĻØ·...\n"); + { + Algo_7_25(G); + printf("\n"); + } + + return 0; +} + + +/* + * ÕÒ³öÓÐÏòͼÖеĻØ· + */ +void Algo_7_25(Graph G) { + int i, w = -1; + int path[MAX_VERTEX_NUM + 1]; // 0ºÅµ¥ÔªÓÃÀ´¼Ç¼pathÖд洢µÄ¶¥µãÊýÁ¿ + + // °ÑËùÓж¥µã±ê¼ÇΪδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + flags[i] = UnVisited; + } + + path[0] = 0; + + for(i = 0; i < G.vexnum; i++) { + w = Circuit_7_25(G, i, path); + + if(w != -1) { + break; // Èç¹ûÕÒµ½ÁËÈÎÒâÒ»Ìõ»Ø·£¬Ìø³öÑ­»· + } + } + + if(w == -1) { + printf("¸ø¶¨µÄÓÐÏòͼÖв»´æÔڻط£¡\n"); + return; + } + + printf("ÓÐÏòͼÖÐÕÒµ½µÄÊ×Ìõ»Ø·Ϊ£º"); + for(i = 1; path[i] != w; i++) { + // Ñ°ÕһطÆðµã + } + // ÕÒµ½Á˻طÆðµã + if(path[i] == w) { + while(i <= path[0]) { + printf("%c -> ", G.vexs[path[i]]); + i++; + } + printf("%c\n", G.vexs[w]); + } +} + +/* + * ´Óstart¶¥µã¿ªÊ¼²éÕһط¡£ + * + * pathÓÃÀ´´æ´¢Â·¹ýµÄ¶¥µã£¬path[0]´æ´¢pathÖеĶ¥µãÊýÁ¿¡£ + * + * Èç¹ûÕÒµ½»Ø·£¬·µ»Ø»Ø·Æðʼ¶¥µãµÄÐòºÅ£» + * Èç¹ûûÕÒµ½»Ø·£¬Ôò·µ»Ø-1¡£ + */ +int Circuit_7_25(Graph G, int start, int path[MAX_VERTEX_NUM]) { + int i; + int v, w; + + path[0]++; + path[path[0]] = start; + flags[start] = InPath; // ±ê¼Ç¸Ã¶¥µãÒѽøÈë·¾¶ + + // ±éÀú¶¥µãstartµÄÁÚ½Óµã + for(i = G.fst[start]; i <= G.lst[start]; i++) { + v = G.s[i]; // »ñÈ¡ÁÚ½ÓµãÐòºÅ + + // Èç¹ûÓöµ½ÁËÒÑÔÚ·¾¶ÖеÄÁڽӵ㣬˵Ã÷³öÏÖÁ˻ط + if(flags[v] == InPath) { + return v; + + // ºöÂÔÒÑ·ÃÎʵÄÁÚ½Óµã + } else if(flags[v] == Visited) { + continue; + } else { + w = Circuit_7_25(G, v, path); + if(w != -1) { + return w; + } + } + } + + // ´Ó·¾¶ÖÐÒƳý¸Ã¶¥µã£¬²¢½«Æä״̬½µ¼¶Îª"ÒÑ·ÃÎÊ" + path[0]--; + flags[start] = Visited; + + return -1; +} diff --git a/VisualC++/ExerciseBook/07.25/07.25.png b/VisualC++/ExerciseBook/07.25/07.25.png new file mode 100644 index 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file diff --git a/VisualC++/ExerciseBook/07.25/07.25.vcxproj.filters b/VisualC++/ExerciseBook/07.25/07.25.vcxproj.filters new file mode 100644 index 0000000..81f9878 --- /dev/null +++ b/VisualC++/ExerciseBook/07.25/07.25.vcxproj.filters @@ -0,0 +1,35 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.25/07.25.vcxproj.user b/VisualC++/ExerciseBook/07.25/07.25.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.25/07.25.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.25/Graph.c b/VisualC++/ExerciseBook/07.25/Graph.c new file mode 100644 index 0000000..5642088 --- /dev/null +++ b/VisualC++/ExerciseBook/07.25/Graph.c @@ -0,0 +1,164 @@ +/*================================= + * ÓÉÌâ7.25µÄÃèÊö´´½¨µÄÒ»ÖÖÓÐÏòͼ½á¹¹ + ==================================*/ + +#include "Graph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + + +/* + * ´´½¨ÓÐÏòͼ + * + * pathΪNULL»òΪ""ʱ£¬´Ó¿ØÖÆ̨¶ÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + * ·ñÔò£¬´ÓÔ¤ÉèµÄÎļþÖжÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + */ +Status CreateGraph(Graph* G, char* path) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = path == NULL || strcmp(path, "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(!readFromConsole) { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path, "r"); + if(fp == NULL) { + return ERROR; + } + } + + Create(G); + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return OK; +} + +/* + * ´´½¨ÓÐÏòͼµÄºËÐÄËã·¨ + */ +static void Create(Graph* G) { + int i, j, k; + VertexType v1, v2; + Boolean adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM] = {FALSE}; // ¼Ç¼ÁÚ½ÓµãÐÅÏ¢ + int cur; + + // ´Ó¿ØÖÆ̨¶ÁÈ¡ + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + + // ´ÓÎļþ¶ÁÈ¡ + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + adjs[i][j] = TRUE; + } + + cur = 0; + + // ¼Ç¼ÁÚ½ÓµãÐÅÏ¢ + for(i = 0; i < G->vexnum; i++) { + G->fst[i] = -1; + G->lst[i] = -2; + + for(j = 0; j < G->vexnum; j++) { + if(adjs[i][j] == TRUE) { + if(G->fst[i] == -1) { + G->fst[i] = cur; + } + + G->s[cur++] = j; // ´æ´¢ºó¼Ì¶¥µãÐÅÏ¢ + } + } + + if(G->fst[i] != -1) { + G->lst[i] = cur - 1; + } + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚÓÐÏòͼÖеÄλÖà + */ +int LocateVex(Graph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * ´òÓ¡ÓÐÏòͼ½á¹¹ + */ +void PrintGraph(Graph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°ÓÐÏòͼ°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c -> ", G.vexs[i]); + for(j = G.fst[i]; j <= G.lst[i]; j++) { + printf("%c ", G.vexs[G.s[j]]); + } + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.25/Graph.h b/VisualC++/ExerciseBook/07.25/Graph.h new file mode 100644 index 0000000..b3224dc --- /dev/null +++ b/VisualC++/ExerciseBook/07.25/Graph.h @@ -0,0 +1,53 @@ +/*================================= + * ÓÉÌâ7.25µÄÃèÊö´´½¨µÄÒ»ÖÖÓÐÏòͼ½á¹¹ + ==================================*/ + +#ifndef GRAPH_H +#define GRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +#define MAX_VERTEX_NUM 26 // ¶¥µã¸öÊý×î´óÖµ +#define MAX_ADJ_NUM 650 // ËùÓж¥µãµÄÁÚ½ÓµãÊýÁ¿ºÍ×î´óÖµ + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ÓÐÏòͼÀàÐͶ¨Òå +typedef struct Graph { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + int s[MAX_ADJ_NUM]; // ¸÷¶¥µãµÄÁÚ½Óµã + int fst[MAX_VERTEX_NUM]; // fst[v] -> ¶¥µãvµÄÁÚ½ÓµãÔÚsÖеÄÆðʼϱê + int lst[MAX_VERTEX_NUM]; // lst[v] -> ¶¥µãvµÄÁÚ½ÓµãÔÚsÖеÄÖÕֹϱê + int vexnum, arcnum; // ÓÐÏòͼµÄ¶¥µãÊýºÍ»¡Êý +} Graph; + + +/* + * ´´½¨ÓÐÏòͼ + * + * pathΪNULL»òΪ""ʱ£¬´Ó¿ØÖÆ̨¶ÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + * ·ñÔò£¬´ÓÔ¤ÉèµÄÎļþÖжÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + */ +Status CreateGraph(Graph* G, char* path); + +/* + * ´´½¨ÓÐÏòͼµÄºËÐÄËã·¨ + */ +static void Create(Graph* G); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚÓÐÏòͼÖеÄλÖà + */ +int LocateVex(Graph G, VertexType u); + +/* + * ´òÓ¡ÓÐÏòͼ½á¹¹ + */ +void PrintGraph(Graph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.25/TestData_DG.txt b/VisualC++/ExerciseBook/07.25/TestData_DG.txt new file mode 100644 index 0000000..7941f40 --- /dev/null +++ b/VisualC++/ExerciseBook/07.25/TestData_DG.txt @@ -0,0 +1,4 @@ +¶¥µãÊý¡ú9 +»¡Êý¡ú11 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾D£¬E¡¿¡¾E£¬F¡¿¡¾F£¬C¡¿¡¾F£¬G¡¿¡¾F£¬H¡¿¡¾H£¬I¡¿¡¾I£¬D¡¿¡¾E£¬B¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.26/07.26.c b/VisualC++/ExerciseBook/07.26/07.26.c new file mode 100644 index 0000000..d833b2a --- /dev/null +++ b/VisualC++/ExerciseBook/07.26/07.26.c @@ -0,0 +1,141 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// +#include "TopologicalSorting.h" //**¡ø07 ͼ**// + +/* + * ¶ÔÎ޻طµÄÓÐÏòͼÖеĶ¥µãÊʵ±µØ±àºÅ£¬Ê¹ÆäÁÚ½Ó¾ØÕóΪÏÂÈý½ÇÐÎÇÒÖ÷¶Ô½ÇÏßΪȫÁã¡£ + * µ÷Õû³É¹¦ºó£¬Êä³öоɱàºÅ¶ÔÕÕ±í¡£ + * + * ×¢£º±¾ÖÊÉÏÇóÍØÆËÅÅÐòµÄÄæÐòÁÐ + */ +void Algo_7_26(ALGraph G); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ÷Õû½áµã˳ÐòºóµÄͼ½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +static void PrintGraph_7_26(ALGraph G, int topo[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Êä³öÓÐÏòͼµÄ¶¥µã˳Ðò...\n"); + { + Algo_7_26(G); + printf("\n"); + } + + return 0; +} + + +/* + * ¶ÔÎ޻طµÄÓÐÏòͼÖеĶ¥µãÊʵ±µØ±àºÅ£¬Ê¹ÆäÁÚ½Ó¾ØÕóΪÏÂÈý½ÇÐÎÇÒÖ÷¶Ô½ÇÏßΪȫÁã¡£ + * µ÷Õû³É¹¦ºó£¬Êä³öоɱàºÅ¶ÔÕÕ±í¡£ + * + * ×¢£º±¾ÖÊÉÏÇóÍØÆËÅÅÐòµÄÄæÐòÁÐ + */ +void Algo_7_26(ALGraph G) { + int i; + int tmp; + int topo[MAX_VERTEX_NUM]; + + if(TopologicalSort(G, topo) == ERROR) { + printf("¸ø¶¨µÄÓÐÏòͼ´æÔڻط£¬ÎÞ·¨»ñÈ¡ÆäÍØÆËÐòÁÐ...\n"); + return; + } + + printf("µ÷ÕûÇ°£º"); + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[i].data); + } + printf("\n"); + + // ¶ÔµÃµ½µÄÍØÆËÐòÁÐ×öÒ»¸ö¼òµ¥µÄÄæÖà + for(i = 0; i < G.vexnum / 2; i++) { + tmp = topo[i]; + topo[i] = topo[G.vexnum - i - 1]; + topo[G.vexnum - i - 1] = tmp; + } + + printf("µ÷Õûºó£º"); + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[topo[i]].data); + } + printf("\n\n"); + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ¸ù¾Ýµ÷ÕûºóµÄ¶¥µã´ÎÐò£¬´òÓ¡Æä´æ´¢½á¹¹(´Ë²½Öè¿ÉÑ¡)...\n"); + PrintGraph_7_26(G, topo); +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ÷Õû½áµã˳ÐòºóµÄͼ½á¹¹ + * + * ×¢£ºÔÚͼ/ÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +static void PrintGraph_7_26(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, j; + int pos[MAX_VERTEX_NUM]; + int adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; + ArcNode* p; + + // ¼Ç¼¸÷¶¥µãÔÚÍØÆËÐòÁÐÖеÄË÷Òý + for(i = 0; i < G.vexnum; i++) { + pos[topo[i]] = i; + } + + // ³õʼ»¯ + for(i = 0; i < G.vexnum; i++) { + for(j = 0; j < G.vexnum; j++) { + adjs[i][j] = 0; + } + } + + // ±éÀúÓÐÏòͼ¸÷»¡Ö®¼äµÄ¹Øϵ + for(i = 0; i < G.vexnum; i++) { + p = G.vertices[i].firstarc; + + while(p != NULL) { + adjs[pos[i]][pos[p->adjvex]] = 1; + p = p->nextarc; + } + } + + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vertices[topo[i]].data); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[topo[i]].data); + + for(j = 0; j < G.vexnum; j++) { + if(adjs[i][j] == 0) { + printf(" -"); + } else { + printf("%3d", adjs[i][j]); + } + } + + printf("\n"); + } +} diff --git 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{CFBDCCF8-D245-46A4-9840-485429938441} + My0726 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.26/07.26.vcxproj.filters b/VisualC++/ExerciseBook/07.26/07.26.vcxproj.filters new file mode 100644 index 0000000..23484b7 --- /dev/null +++ b/VisualC++/ExerciseBook/07.26/07.26.vcxproj.filters @@ -0,0 +1,47 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.26/07.26.vcxproj.user b/VisualC++/ExerciseBook/07.26/07.26.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.26/07.26.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.26/ALGraph.c b/VisualC++/ExerciseBook/07.26/ALGraph.c new file mode 100644 index 0000000..4f5206b --- /dev/null +++ b/VisualC++/ExerciseBook/07.26/ALGraph.c @@ -0,0 +1,325 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.26/ALGraph.h b/VisualC++/ExerciseBook/07.26/ALGraph.h new file mode 100644 index 0000000..e70b2c2 --- /dev/null +++ b/VisualC++/ExerciseBook/07.26/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.26/SqStack.c b/VisualC++/ExerciseBook/07.26/SqStack.c new file mode 100644 index 0000000..f056778 --- /dev/null +++ b/VisualC++/ExerciseBook/07.26/SqStack.c @@ -0,0 +1,90 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // Õ»Âúʱ£¬×·¼Ó´æ´¢¿Õ¼ä + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // ´æ´¢·ÖÅäʧ°Ü + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // ½øÕ»Ïȸ³Öµ£¬Õ»¶¥Ö¸ÕëÔÙ×ÔÔö + *(S->top++) = e; + + return OK; +} + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // ³öÕ»Õ»¶¥Ö¸ÕëÏȵݼõ£¬ÔÙ¸³Öµ + *e = *(--(*S).top); + + return OK; +} diff --git a/VisualC++/ExerciseBook/07.26/SqStack.h b/VisualC++/ExerciseBook/07.26/SqStack.h new file mode 100644 index 0000000..a8fe835 --- /dev/null +++ b/VisualC++/ExerciseBook/07.26/SqStack.h @@ -0,0 +1,59 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define STACK_INIT_SIZE 100 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define STACKINCREMENT 10 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳ÐòÕ»ÔªËØÀàÐͶ¨Òå */ +typedef int SElemType; + +// ˳ÐòÕ»ÔªËؽṹ +typedef struct { + SElemType* base; // Õ»µ×Ö¸Õë + SElemType* top; // Õ»¶¥Ö¸Õë + int stacksize; // µ±Ç°ÒÑ·ÖÅäµÄ´æ´¢¿Õ¼ä£¬ÒÔÔªËØΪµ¥Î» +} SqStack; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S); + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S); + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e); + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/VisualC++/ExerciseBook/07.26/TestData_DG.txt b/VisualC++/ExerciseBook/07.26/TestData_DG.txt new file mode 100644 index 0000000..a240ed8 --- /dev/null +++ b/VisualC++/ExerciseBook/07.26/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú16 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾F£¬J¡¿¡¾F£¬B¡¿¡¾F£¬C¡¿¡¾F£¬A¡¿¡¾B£¬C¡¿¡¾J£¬I¡¿¡¾C£¬I¡¿¡¾C£¬H¡¿¡¾I£¬H¡¿¡¾C£¬G¡¿¡¾D£¬A¡¿¡¾D£¬L¡¿¡¾L£¬A¡¿¡¾D£¬K¡¿¡¾K£¬E¡¿¡¾E£¬G¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.26/TopologicalSorting.c b/VisualC++/ExerciseBook/07.26/TopologicalSorting.c new file mode 100644 index 0000000..82001f5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.26/TopologicalSorting.c @@ -0,0 +1,96 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#include "TopologicalSorting.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + * + * ×¢£ºÓë½Ì²Ä²»Í¬Ö®´¦ÔÚÓÚ£¬´Ë´¦Ôö¼ÓÁËÒ»¸ötopoÊý×é×ö²ÎÊý¡£ + * ¡¡¡¡¶ÔÓÚÇó³öµÄÍØÆËÐòÁУ¬²»»áÖ±½ÓÊä³ö£¬¶øÊǻỺ´æµ½topoÖС£ + * ¡¡¡¡ÕâÑùµÄ×öµÄÄ¿µÄÊǺóÐøµÄÏ°ÌâÖлáÓжദÓõ½¸ÃÍØÆËÐòÁС£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, k, count; + int indegree[MAX_VERTEX_NUM]; + SqStack S; + ArcNode* p; + + // ¶Ô¸÷¶¥µãÇóÈë¶È + FindInDegree(G, indegree); + + // ³õʼ»¯ÁãÈë¶È¶¥µãÕ» + InitStack(&S); + + // ½¨Á¢Èë¶ÈΪ0µÄ¶¥µãÕ» + for(i = 0; i < G.vexnum; i++) { + // ½«Èë¶ÈΪ0µÄ¶¥µãÌí¼Óµ½Õ»ÖÐ + if(indegree[i] == 0) { + Push(&S, i); + } + } + + // ¶ÔÍØÆËÐòÁÐÖеĶ¥µã¼ÆÊý + count = 0; + + // ±éÀú¶¥µãÕ» + while(!StackEmpty(S)) { + // »ñÈ¡Ò»¸öÁãÈë¶È¶¥µã + Pop(&S, &i); + + // ½«¸÷¶¥µãµÄÐòºÅÔÝ´æÆðÀ´ + topo[count++] = i; + + // ±éÀúiºÅ¶¥µãµÄÁÚ½Óµã + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // »ñÈ¡¶¥µãÐòºÅ + k = p->adjvex; + + /* + * ½«iºÅ¶¥µãÿ¸öÁÚ½ÓµãµÄÈë¶È¼õÒ»£¬ÕâÏ൱ÓÚÇжÎiºÅ¶¥µãµ½ÆäËüÁÚ½ÓµãµÄÁªÏµ¡£ + * Èç¹û³öÏÖÁËеÄÈë¶ÈΪ0µÄ¶¥µã£¬¼ÌÐø½«ÆäÈëÕ»¡£ + */ + if((--indegree[k]) == 0) { + Push(&S, k); + } + } + } + + // Èç¹ûÓöµ½Á˻ط£¬Ôò·µ»ØERROR + if(count < G.vexnum) { + return ERROR; + } else { + return OK; + } +} + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]) { + int i; + ArcNode* p; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // ±éÀú¸Ã¶¥µãµÄËùÓÐÁڽӵ㣬ͳ¼Æ¸÷¶¥µãµÄÈë¶È + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } +} diff --git a/VisualC++/ExerciseBook/07.26/TopologicalSorting.h b/VisualC++/ExerciseBook/07.26/TopologicalSorting.h new file mode 100644 index 0000000..3fae677 --- /dev/null +++ b/VisualC++/ExerciseBook/07.26/TopologicalSorting.h @@ -0,0 +1,28 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#ifndef TOPOLOGICALSORTING_H +#define TOPOLOGICALSORTING_H + +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]); + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]); + +#endif diff --git a/VisualC++/ExerciseBook/07.27/07.27.c b/VisualC++/ExerciseBook/07.27/07.27.c new file mode 100644 index 0000000..91012db --- /dev/null +++ b/VisualC++/ExerciseBook/07.27/07.27.c @@ -0,0 +1,133 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * Êä³öÂú×ãÌõ¼þµÄ¼òµ¥Â·¾¶ + */ +void Algo_7_27(ALGraph G, VertexType start, VertexType end, int k); + +/* + * ²éÕÒÂú×ãÌõ¼þµÄ¼òµ¥Â·¾¶¡£ + * + * pathÓÃÀ´´æ´¢Â·¹ýµÄ¶¥µã£¬path[0]´æ´¢pathÖеĶ¥µãÊýÁ¿¡£ + * + * Èç¹ûÕÒµ½¼òµ¥Â·¾¶£¬Ôò½«Æä´æ´¢µ½pathÖУ¬²¢·µ»ØOK£»·ñÔò£¬·µ»ØERROR¡£ + */ +Status SimplePath_7_27(ALGraph G, int start, int end, int k, int path[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = ""; + path[1] = ""; + path[2] = "TestData_UDG.txt"; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒ¼òµ¥Â·¾¶...\n"); + { + VertexType start = 'A'; + VertexType end = 'B'; + int k = 4; + + Algo_7_27(G, start, end, k); + printf("\n"); + } + + return 0; +} + + +/* + * Êä³öÂú×ãÌõ¼þµÄ¼òµ¥Â·¾¶ + */ +void Algo_7_27(ALGraph G, VertexType start, VertexType end, int k) { + int i, m, n; + int path[MAX_VERTEX_NUM + 1]; // 0ºÅµ¥ÔªÓÃÀ´¼Ç¼pathÖд洢µÄ¶¥µãÊýÁ¿ + Status s; + + m = LocateVex(G, start); + n = LocateVex(G, end); + + if(k <= 0 || m == -1 || n == -1 || m == n) { + printf("²ÎÊý´íÎó£¡\n"); + return; + } + + // °ÑËùÓж¥µã±ê¼ÇΪδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + s = SimplePath_7_27(G, m, n, k, path); + + if(s == ERROR) { + printf("δÕÒµ½·ûºÏÌõ¼þµÄ¼òµ¥Â·¾¶£¡\n"); + return; + } + + printf("%c µ½ %c Ö®¼ä´æÔÚµÄÒ»Ìõ³¤¶ÈΪ %d µÄ¼òµ¥Â·¾¶Îª£º", start, end, k); + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + printf("\n"); +} + +/* + * ²éÕÒÂú×ãÌõ¼þµÄ¼òµ¥Â·¾¶¡£ + * + * pathÓÃÀ´´æ´¢Â·¹ýµÄ¶¥µã£¬path[0]´æ´¢pathÖеĶ¥µãÊýÁ¿¡£ + * + * Èç¹ûÕÒµ½¼òµ¥Â·¾¶£¬Ôò½«Æä´æ´¢µ½pathÖУ¬²¢·µ»ØOK£»·ñÔò£¬·µ»ØERROR¡£ + */ +Status SimplePath_7_27(ALGraph G, int start, int end, int k, int path[MAX_VERTEX_NUM]) { + int w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // ±ê¼Ç¸Ã¶¥µãÒÑ·ÃÎÊ + + // Èç¹ûÓöµ½Öյ㣬ÔòÐèÒªÊÓÇéÐηµ»Ø + if(start == end) { + // ¶¥µãÊý = ·¾¶³¤¶È+1 + if(path[0] == k + 1) { + return OK; + } + } else { + // Éî¶ÈÓÅÏȱéÀú + for(w = FirstAdjVex(G, G.vertices[start].data); + w >= 0; + w = NextAdjVex(G, G.vertices[start].data, G.vertices[w].data)) { + // ºöÂÔÒÑ·ÃÎʹýµÄ¶¥µã + if(visited[w] == TRUE) { + continue; + } + + if(SimplePath_7_27(G, w, end, k, path) == OK) { + return OK; + } + } + } + + // ´Ó·¾¶ÖÐÒƳý¸Ã¶¥µã£¬²¢½«Æä״̬½µ¼¶Îª"ÒÑ·ÃÎÊ" + path[0]--; + visited[start] = FALSE; // Çå³ý·ÃÎʱê¼Ç + + return ERROR; +} diff --git a/VisualC++/ExerciseBook/07.27/07.27.png b/VisualC++/ExerciseBook/07.27/07.27.png new file mode 100644 index 0000000000000000000000000000000000000000..a37e6ceb71414701b75b1862516f5f9183058992 GIT binary patch literal 8809 zcmXY1bzGC*+a{$1X_SqYP7&EaK$;M&(};EBb%-!@19qHFs%mr>0)&Jamu}&9!EEd2Emiy{dcM;6G zb7JM|$c9KAcu~p->X{6kx7=evyMD~|A!QLj>Psq!SySe^@Cj!J91h_eBdTUsck0&z zxLDts|JY1D=V=}_L{sw(e=ydJagM4yOJHk2nf@GEg$t)x9=g&f`%O+xrq#Bguk=Ut z5Bx36Yy_;VtTyMI3+hlugodrLb;{HE*miUVY<}4O^RY0kGH-0pX0sec5jn1g6>aon 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$(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.27/07.27.vcxproj.filters b/VisualC++/ExerciseBook/07.27/07.27.vcxproj.filters new file mode 100644 index 0000000..64a37b8 --- /dev/null +++ b/VisualC++/ExerciseBook/07.27/07.27.vcxproj.filters @@ -0,0 +1,35 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.27/07.27.vcxproj.user b/VisualC++/ExerciseBook/07.27/07.27.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.27/07.27.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.27/ALGraph.c b/VisualC++/ExerciseBook/07.27/ALGraph.c new file mode 100644 index 0000000..c5ea562 --- /dev/null +++ b/VisualC++/ExerciseBook/07.27/ALGraph.c @@ -0,0 +1,595 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÎÞÏòͼ + kind = 2; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case UDG: + flag = CreateUDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vertices[v].data; +} + +/* + * ¸³Öµ + * + * ½«¶¥µãv¸³ÖµÎªvalue + */ +Status PutVex(ALGraph* G, VertexType v, VertexType value) { + int k; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex((*G), v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // Ì滻ͷ½áµã + (*G).vertices[k].data = value; + + /* Á´±íÖеÄÔªËØ´æ´¢µÄÊǶ¥µãµÄλÖã¬ËùÒÔÎÞÐè±éÀúÁ´±íÀ´Ì滻Ŀ±êÖµ */ + + return OK; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(ALGraph G, VertexType v) { + int k; + ArcNode* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(G, v); + if(k == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.vertices[k].firstarc; + if(r == NULL) { + return -1; + } else { + return r->adjvex; + } +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w) { + int kv, kw; + ArcNode* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.vertices[kv].firstarc; + if(r == NULL) { + return -1; // Á´±íΪ¿Õ + } + + // ÔÚÁ´±íÖвéÕÒw + while(r != NULL && r->adjvex < kw) { + r = r->nextarc; + } + + // Èç¹ûûÕÒµ½w + if(r == NULL) { + return -1; + } + + // Èç¹ûÕÒµ½ÁËw£¬µ«ÊÇwºóÃæûÓбðµÄ¶¥µã£¬ÄÇôҲÎÞ·¨·µ»ØÁÚ½Óµã + if(r->adjvex == kw && r->nextarc != NULL) { + return r->nextarc->adjvex; + } + + return -1; +} + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(ALGraph* G, VertexType v) { + int k; + + // ¶¥µãÊý¹ý¶à + if((*G).vexnum == MAX_VERTEX_NUM) { + return ERROR; + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k >= 0) { + return ERROR; // Ö¸¶¨µÄ¶¥µã´æÔÚʱ£¬ÎÞÐèÖظ´Ìí¼Ó + } + + G->vertices[(*G).vexnum].data = v; + G->vertices[(*G).vexnum].firstarc = NULL; + + (*G).vexnum++; + + return OK; +} + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(ALGraph* G, VertexType v) { + int k, i; + ArcNode* pre, * r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(*G, v); + if(k == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ÕÒµ½ÒÔ½áµãv³ö·¢µÄÁ´±í£¬ÊͷŸÃÁ´±íÉÏËùÓнáµã + r = G->vertices[k].firstarc; + while(r != NULL) { + pre = r; + r = r->nextarc; + free(pre); + + (*G).arcnum--; + } + + G->vertices[k].firstarc = NULL; + + // ±éÀúÆäËüËùÓÐÁ´±í£¬É¾³ýÄÇЩָÏò¶¥µãvµÄ»¡£»¶øÇÒ£¬Ï±곬¹ýkµÄ¶¥µã£¬ÆäϱêÖµÐèÒªµÝ¼õ + for(i = 0; i < G->vexnum; i++) { + pre = NULL; + r = G->vertices[i].firstarc; + while(r != NULL && r->adjvex < k) { + pre = r; + r = r->nextarc; + } + + // Á´±íÉÏËùÓж¥µãµÄϱê¾ùСÓÚk + if(r == NULL) { + continue; + } + + if(r->adjvex == k) { + // ´Ó¿ªÍ·É¾µô½áµãv + if(pre == NULL) { + G->vertices[i].firstarc = r->nextarc; + + // ´ÓÖмäij¸öλÖÃɾµô½áµãv + } else { + pre->nextarc = r->nextarc; + } + + free(r); + + // Èç¹ûÕâÊÇÓÐÏòµÄͼ/Íø£¬ÒÀÈ»ÐèÒªµÝ¼õ±ß/»¡µÄÊýÁ¿ + if((*G).kind == DG || (*G).kind == DN) { + (*G).arcnum--; + } + } + + // ÔÙ´ÎÈ·¶¨rµÄλÖà + if(pre == NULL) { + r = G->vertices[i].firstarc; + } else { + r = pre->nextarc; + } + + // ϱ곬¹ýkµÄ¶¥µã£¬ÐèÒªµÝ¼õÆäϱê + while(r != NULL && r->adjvex > k) { + r->adjvex -= 1; + r = r->nextarc; + } + } + + // ¶¥µã¼¯Ç°ÒÆ + for(i = k + 1; i < (*G).vexnum; i++) { + G->vertices[i - 1] = G->vertices[i]; + } + + // ¶¥µãÊýµÝ¼õ + (*G).vexnum--; + + return OK; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + + tail = LocateVex(*G, v); + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + for(count = 0; count < 2; count++) { + pre = NULL; + // ÔÚµ±Ç°Á´±íÖÐÕÒµ½´ýɾ³ýµÄ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // ÕÒµ½ÁË´ýɾ³ýµÄ±ß/»¡ + if(r != NULL && r->adjvex == head) { + if(pre == NULL) { + G->vertices[tail].firstarc = r->nextarc; + } else { + pre->nextarc = r->nextarc; + } + + free(r); + } else { + return ERROR; // ûÕÒµ½ + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹tailºÍhead + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + (*G).arcnum--; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»¼õÒ» + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.27/ALGraph.h b/VisualC++/ExerciseBook/07.27/ALGraph.h new file mode 100644 index 0000000..f3bbcad --- /dev/null +++ b/VisualC++/ExerciseBook/07.27/ALGraph.h @@ -0,0 +1,175 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v); + +/* + * ¸³Öµ + * + * ½«¶¥µãv¸³ÖµÎªvalue + */ +Status PutVex(ALGraph* G, VertexType v, VertexType value); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(ALGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(ALGraph G, VertexType v, VertexType w); + +/* + * ²åÈ붥µã + * + * ½«Ö¸¶¨µÄ¶¥µãv×·¼Óµ½¶¥µã¼¯ÖУ¬Î´½¨Á¢¸Ã¶¥µãÓëÆäËû¶¥µãµÄ¹Øϵ + */ +Status InsertVex(ALGraph* G, VertexType v); + +/* + * ɾ³ý¶¥µã + * + * ´Ó¶¥µã¼¯ÖÐɾ³ýÖ¸¶¨µÄ¶¥µãv£¬×¢ÒâÐèÒª¸üÐÂÏà¹ØµÄ¶¥µã¹Øϵ + */ +Status DeleteVex(ALGraph* G, VertexType v); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ɾ³ý±ß/»¡ + */ +Status DeleteArc(ALGraph* G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.27/TestData_UDG.txt b/VisualC++/ExerciseBook/07.27/TestData_UDG.txt new file mode 100644 index 0000000..589753c --- /dev/null +++ b/VisualC++/ExerciseBook/07.27/TestData_UDG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú2£¨ÎÞÏòͼ£© +¶¥µãÊý¡ú9 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾B£¬E¡¿¡¾E£¬D¡¿¡¾D£¬F¡¿¡¾F£¬A¡¿¡¾B£¬D¡¿¡¾A£¬C¡¿¡¾C£¬E¡¿¡¾A£¬H¡¿¡¾H£¬G¡¿¡¾G£¬C¡¿¡¾C£¬I¡¿¡¾H£¬I¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.28/07.28.c b/VisualC++/ExerciseBook/07.28/07.28.c new file mode 100644 index 0000000..d3df298 --- /dev/null +++ b/VisualC++/ExerciseBook/07.28/07.28.c @@ -0,0 +1,110 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "MGraph.h" //**¡ø07 ͼ**// + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * Êä³öÂú×ãÌõ¼þµÄ¼òµ¥Â·¾¶ + */ +void Algo_7_28(MGraph G, VertexType start, VertexType end); + +/* + * ²éÕÒstartµ½endÖ®¼äµÄËùÓеļòµ¥Â·¾¶ + */ +void SimplePath_7_28(MGraph G, int start, int end, int path[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒ¼òµ¥Â·¾¶...\n"); + { + VertexType start = 'u'; + VertexType end = 'v'; + + Algo_7_28(G, start, end); + printf("\n"); + } + + return 0; +} + + +/* + * Êä³östartµ½endÖ®¼äµÄËùÓеļòµ¥Â·¾¶ + */ +void Algo_7_28(MGraph G, VertexType start, VertexType end) { + int i, m, n; + int path[MAX_VERTEX_NUM + 1]; // 0ºÅµ¥ÔªÓÃÀ´¼Ç¼pathÖд洢µÄ¶¥µãÊýÁ¿ + + m = LocateVex(G, start); + n = LocateVex(G, end); + + if(m == -1 || n == -1 || m == n) { + printf("²ÎÊý´íÎó£¡\n"); + return; + } + + // °ÑËùÓж¥µã±ê¼ÇΪδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + printf("²éÕÒ %c µ½ %c Ö®¼ä´æÔÚµÄËùÓмòµ¥Â·¾¶...\n", start, end); + SimplePath_7_28(G, m, n, path); +} + +/* + * ²éÕÒstartµ½endÖ®¼äµÄËùÓеļòµ¥Â·¾¶ + */ +void SimplePath_7_28(MGraph G, int start, int end, int path[MAX_VERTEX_NUM]) { + int i, w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // ±ê¼Ç¸Ã¶¥µãÒÑ·ÃÎÊ + + // Èç¹ûÓöµ½Âú×ãÌâÒâµÄ·¾¶£¬ÔòÊä³öËü + if(start == end) { + // Êä³öÕÒµ½µÄ¼òµ¥Â·¾¶ + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + printf("\n"); + } else { + // Éî¶ÈÓÅÏȱéÀú + for(w = FirstAdjVex(G, G.vexs[start]); + w >= 0; + w = NextAdjVex(G, G.vexs[start], G.vexs[w])) { + // ºöÂÔÒÑ·ÃÎʹýµÄ¶¥µã + if(visited[w] == TRUE) { + continue; + } + + SimplePath_7_28(G, w, end, path); + } + } + + // ´Ó·¾¶ÖÐÒƳý¸Ã¶¥µã£¬²¢½«Æä״̬½µ¼¶Îª"ÒÑ·ÃÎÊ" + path[0]--; + visited[start] = FALSE; // 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a/VisualC++/ExerciseBook/07.28/07.28.vcxproj.filters b/VisualC++/ExerciseBook/07.28/07.28.vcxproj.filters new file mode 100644 index 0000000..95dd3c5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.28/07.28.vcxproj.filters @@ -0,0 +1,35 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.28/07.28.vcxproj.user b/VisualC++/ExerciseBook/07.28/07.28.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.28/07.28.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.28/MGraph.c b/VisualC++/ExerciseBook/07.28/MGraph.c new file mode 100644 index 0000000..e11656a --- /dev/null +++ b/VisualC++/ExerciseBook/07.28/MGraph.c @@ -0,0 +1,299 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#include "MGraph.h" //**¡ø07 ͼ**// + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨Í¼/±í + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÓÐÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info) { + //¼Èë±ß/»¡µÄÐÅÏ¢£¬±¾²âÊÔÉæ¼°µ½µÄ±ß/»¡Ä¬ÈÏÎÞÆäËû¸½¼ÓÐÅÏ¢ +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(MGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vexs[v]; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v) { + int kv, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´ÓÍ·¿ªÊ¼²éÕÒ + for(j = 0; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w) { + int kv, kw, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´Ó¶¥µãwºó¿ªÊ¼²éÕÒ + for(j = kw + 1; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.28/MGraph.h b/VisualC++/ExerciseBook/07.28/MGraph.h new file mode 100644 index 0000000..3308db0 --- /dev/null +++ b/VisualC++/ExerciseBook/07.28/MGraph.h @@ -0,0 +1,134 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ + void* v; // Ìí¼ÓÒ»¸öÎÞÒâÒåµÄ±äÁ¿À´Õ¼Î»£¬Èç¹û½á¹¹ÌåΪ¿ÕµÄ»°£¬ÔÚVC++Öлᱨ´í +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(MGraph G, int v); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.28/TestData_DG.txt b/VisualC++/ExerciseBook/07.28/TestData_DG.txt new file mode 100644 index 0000000..a19ece0 --- /dev/null +++ b/VisualC++/ExerciseBook/07.28/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú8 +»¡Êý¡ú11 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾a£¬b£¬c£¬d£¬e£¬f£¬u£¬v¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾u£¬c¡¿¡¾c£¬d¡¿¡¾d£¬e¡¿¡¾e£¬u¡¿¡¾d£¬v¡¿¡¾e£¬f¡¿¡¾f£¬v¡¿¡¾v£¬b¡¿¡¾b£¬f¡¿¡¾u£¬a¡¿¡¾a£¬b¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.29/07.29.c b/VisualC++/ExerciseBook/07.29/07.29.c new file mode 100644 index 0000000..03bdcb4 --- /dev/null +++ b/VisualC++/ExerciseBook/07.29/07.29.c @@ -0,0 +1,110 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "MGraph.h" //**¡ø07 ͼ**// + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * Êä³öÓÐÏòͼGÖ㤶ÈΪkµÄ¼òµ¥Â·¾¶ + */ +void Algo_7_29(MGraph G, int k); + +/* + * ²éÕÒÓÐÏòͼGÖ㤶ÈΪkµÄ¼òµ¥Â·¾¶ + */ +void SimplePath_7_29(MGraph G, int start, int k, int path[MAX_VERTEX_NUM]); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒ¶¨³¤µÄ¼òµ¥Â·¾¶...\n"); + { + int k = 4; + + Algo_7_29(G, k); + printf("\n"); + } + + return 0; +} + + +/* + * Êä³öÓÐÏòͼGÖ㤶ÈΪkµÄ¼òµ¥Â·¾¶ + */ +void Algo_7_29(MGraph G, int k) { + int i; + int path[MAX_VERTEX_NUM + 1]; // 0ºÅµ¥ÔªÓÃÀ´¼Ç¼pathÖд洢µÄ¶¥µãÊýÁ¿ + + if(k <= 0) { + printf("²ÎÊý´íÎó£¡\n"); + return; + } + + // °ÑËùÓж¥µã±ê¼ÇΪδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + printf("²éÕÒËùÓ㤶ÈΪ %d µÄ¼òµ¥Â·¾¶...\n", k); + + for(i = 0; i < G.vexnum; i++) { + SimplePath_7_29(G, i, k, path); + } + +} + +/* + * ²éÕÒÓÐÏòͼGÖ㤶ÈΪkµÄ¼òµ¥Â·¾¶ + */ +void SimplePath_7_29(MGraph G, int start, int k, int path[MAX_VERTEX_NUM]) { + int i, w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // ±ê¼Ç¸Ã¶¥µãÒÑ·ÃÎÊ + + // Èç¹ûÓöµ½³¤¶ÈΪkµÄ·¾¶(¶¥µãÊý = ·¾¶³¤¶È+1)£¬ÔòÊä³öËü + if(path[0] == k + 1) { + // Êä³öÕÒµ½µÄ¼òµ¥Â·¾¶ + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + printf("\n"); + } else { + // Éî¶ÈÓÅÏȱéÀú + for(w = FirstAdjVex(G, G.vexs[start]); + w >= 0; + w = NextAdjVex(G, G.vexs[start], G.vexs[w])) { + // ºöÂÔÒÑ·ÃÎʹýµÄ¶¥µã + if(visited[w] == TRUE) { + continue; + } + + SimplePath_7_29(G, w, k, path); + } + } + + // ´Ó·¾¶ÖÐÒƳý¸Ã¶¥µã£¬²¢½«Æä״̬½µ¼¶Îª"ÒÑ·ÃÎÊ" + path[0]--; + visited[start] = FALSE; // Çå³ý·ÃÎʱê¼Ç +} diff --git a/VisualC++/ExerciseBook/07.29/07.29.png b/VisualC++/ExerciseBook/07.29/07.29.png new file mode 100644 index 0000000000000000000000000000000000000000..d814ec27df79db865275062fa483cfa48ee7242e GIT binary patch literal 10441 zcmYj%by!s2_cf&;DqRvoHw+!p3`m2Nh~p3rIW$9e3kV2E4Be>$Qo_(mcS(a%gOqfK zyw~sN_s9D@Q+Mu(d-mC9pR?B5(YiXSj|piBv9PcntE(yNV_{)80lzm1aDY#$qOTdi 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Win32 + + + Release + Win32 + + + + {1053D204-9B69-40BF-92CC-860752E200D0} + My0729 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.29/07.29.vcxproj.filters b/VisualC++/ExerciseBook/07.29/07.29.vcxproj.filters new file mode 100644 index 0000000..abf46a6 --- /dev/null +++ b/VisualC++/ExerciseBook/07.29/07.29.vcxproj.filters @@ -0,0 +1,35 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.29/07.29.vcxproj.user b/VisualC++/ExerciseBook/07.29/07.29.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.29/07.29.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.29/MGraph.c b/VisualC++/ExerciseBook/07.29/MGraph.c new file mode 100644 index 0000000..e11656a --- /dev/null +++ b/VisualC++/ExerciseBook/07.29/MGraph.c @@ -0,0 +1,299 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#include "MGraph.h" //**¡ø07 ͼ**// + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨Í¼/±í + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÓÐÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info) { + //¼Èë±ß/»¡µÄÐÅÏ¢£¬±¾²âÊÔÉæ¼°µ½µÄ±ß/»¡Ä¬ÈÏÎÞÆäËû¸½¼ÓÐÅÏ¢ +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(MGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vexs[v]; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v) { + int kv, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´ÓÍ·¿ªÊ¼²éÕÒ + for(j = 0; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w) { + int kv, kw, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´Ó¶¥µãwºó¿ªÊ¼²éÕÒ + for(j = kw + 1; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.29/MGraph.h b/VisualC++/ExerciseBook/07.29/MGraph.h new file mode 100644 index 0000000..3308db0 --- /dev/null +++ b/VisualC++/ExerciseBook/07.29/MGraph.h @@ -0,0 +1,134 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ + void* v; // Ìí¼ÓÒ»¸öÎÞÒâÒåµÄ±äÁ¿À´Õ¼Î»£¬Èç¹û½á¹¹ÌåΪ¿ÕµÄ»°£¬ÔÚVC++Öлᱨ´í +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(MGraph G, int v); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.29/TestData_DG.txt b/VisualC++/ExerciseBook/07.29/TestData_DG.txt new file mode 100644 index 0000000..a19ece0 --- /dev/null +++ b/VisualC++/ExerciseBook/07.29/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú8 +»¡Êý¡ú11 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾a£¬b£¬c£¬d£¬e£¬f£¬u£¬v¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾u£¬c¡¿¡¾c£¬d¡¿¡¾d£¬e¡¿¡¾e£¬u¡¿¡¾d£¬v¡¿¡¾e£¬f¡¿¡¾f£¬v¡¿¡¾v£¬b¡¿¡¾b£¬f¡¿¡¾u£¬a¡¿¡¾a£¬b¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.30/07.30.c b/VisualC++/ExerciseBook/07.30/07.30.c new file mode 100644 index 0000000..3deb3ff --- /dev/null +++ b/VisualC++/ExerciseBook/07.30/07.30.c @@ -0,0 +1,99 @@ +#include +#include "Status.h" +#include "MGraph.h" + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + + +/* + * ÕÒ³öÓÐÏòͼÖÐËùÓлØ· + */ +void Algo_7_30(MGraph G); + +/* + * ´òÓ¡ÓÐÏòͼÖÐËùÓлØ· + */ +void Circuit_7_30(MGraph G, int start, int end, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + MGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒͼÖеĻØ·...\n"); + { + Algo_7_30(G); + printf("\n"); + } + + return 0; +} + + +/* + * ÕÒ³öÓÐÏòͼÖÐËùÓлØ· + */ +void Algo_7_30(MGraph G) { + int i; + int path[MAX_VERTEX_NUM + 1]; // 0ºÅµ¥ÔªÓÃÀ´¼Ç¼pathÖд洢µÄ¶¥µãÊýÁ¿ + + // °ÑËùÓж¥µã±ê¼ÇΪδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + path[0] = 0; + + for(i = 0; i < G.vexnum; i++) { + Circuit_7_30(G, i, i, path); + } +} + +/* + * ´òÓ¡ÓÐÏòͼÖÐËùÓлØ· + */ +void Circuit_7_30(MGraph G, int start, int end, int path[MAX_VERTEX_NUM]) { + int i, w; + + path[0]++; + path[path[0]] = start; + visited[start] = TRUE; // ±ê¼Ç¸Ã¶¥µãÒѽøÈë·¾¶ + + // ±éÀú¶¥µãstartµÄÁÚ½Óµã + for(w = FirstAdjVex(G, G.vexs[start]); w >= 0; w = NextAdjVex(G, G.vexs[start], G.vexs[w])) { + // Èç¹ûÓöµ½ÁËÒÑÔÚ·¾¶ÖеÄÁڽӵ㣬˵Ã÷³öÏÖÁ˻ط + if(visited[w] == TRUE) { + if(w == end) { + // Êä³ö»Ø· + for(i = 1; i <= path[0]; i++) { + printf("%c -> ", GetVex(G, path[i])); + } + printf("%c\n", GetVex(G, w)); + } + + } else { + // ɸµôÖظ´Â·¾¶ + if(w > end) { + Circuit_7_30(G, w, end, path); + } + } + } + + // ´Ó·¾¶ÖÐÒƳý¸Ã¶¥µã£¬²¢½«Æä״̬½µ¼¶Îª"ÒÑ·ÃÎÊ" + path[0]--; + visited[start] = FALSE; +} diff --git a/VisualC++/ExerciseBook/07.30/07.30.png b/VisualC++/ExerciseBook/07.30/07.30.png new file mode 100644 index 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/dev/null +++ b/VisualC++/ExerciseBook/07.30/07.30.vcxproj @@ -0,0 +1,79 @@ + + + + + Debug + Win32 + + + Release + Win32 + + + + {4C169B2E-6DE8-4BFA-AAE1-45F64C042136} + My0730 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.30/07.30.vcxproj.filters b/VisualC++/ExerciseBook/07.30/07.30.vcxproj.filters new file mode 100644 index 0000000..9a8b78c --- /dev/null +++ b/VisualC++/ExerciseBook/07.30/07.30.vcxproj.filters @@ -0,0 +1,35 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.30/07.30.vcxproj.user b/VisualC++/ExerciseBook/07.30/07.30.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.30/07.30.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.30/MGraph.c b/VisualC++/ExerciseBook/07.30/MGraph.c new file mode 100644 index 0000000..e11656a --- /dev/null +++ b/VisualC++/ExerciseBook/07.30/MGraph.c @@ -0,0 +1,299 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#include "MGraph.h" //**¡ø07 ͼ**// + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨Í¼/±í + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(MGraph* G) { + int i, j, k; + ArcCell arcs = {0, NULL}; // ÓÐÏòͼÿÌõ±ßµÄ³õʼֵ + VertexType v1, v2; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &((*G).arcnum)); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[i])); + } + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < (*G).vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[i])); + } + } + + // ³õʼ»¯ÓÐÏòͼµÄÁÚ½Ó¾ØÕó + for(i = 0; i < (*G).vexnum; i++) { + for(j = 0; j < (*G).vexnum; j++) { + (*G).arcs[i][j] = arcs; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + i = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + j = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + // ½«Ö¸¶¨µÄ¶¥µã¹ØϵÉèÖÃΪ1£¬Ö¸Ê¾ÕâÁ½¸ö¶¥µãÊÇÖ±½ÓÁ¬½ÓµÄ(×¢£ºÕâÀïûÓÐÑé֤ϱêÊÇ·ñÔ½½ç) + (*G).arcs[i][j].adj = 1; + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &((*G).arcs[i][j].info)); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info) { + //¼Èë±ß/»¡µÄÐÅÏ¢£¬±¾²âÊÔÉæ¼°µ½µÄ±ß/»¡Ä¬ÈÏÎÞÆäËû¸½¼ÓÐÅÏ¢ +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(MGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vexs[v]; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v) { + int kv, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´ÓÍ·¿ªÊ¼²éÕÒ + for(j = 0; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w) { + int kv, kw, j; + VRType adj; + + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // È·¶¨Ò»¸ö·ÇÁ¬Í¨±ê¼Ç + if(G.kind == DG || G.kind == UDG) { + adj = 0; // ͼ + } else if(G.kind == DN || G.kind == UDN) { + adj = INFINITE; // Íø + } else { + return -1; + } + + // ´Ó¶¥µãwºó¿ªÊ¼²éÕÒ + for(j = kw + 1; j < G.vexnum; j++) { + // ÕÒµ½ÓëvÖ±½ÓÁ¬½ÓµÄ¶¥µã + if(G.arcs[kv][j].adj != adj) { + return j; + } + } + + return -1; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G) { + int i, j; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(((G.kind == DG || G.kind == UDG) && G.arcs[i][j].adj == 0) || ((G.kind == DN || G.kind == UDN) && G.arcs[i][j].adj == INFINITE)) { + printf(" -"); + } else { + printf("%3d", G.arcs[i][j].adj); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.30/MGraph.h b/VisualC++/ExerciseBook/07.30/MGraph.h new file mode 100644 index 0000000..3308db0 --- /dev/null +++ b/VisualC++/ExerciseBook/07.30/MGraph.h @@ -0,0 +1,134 @@ +/*================================= + * ͼµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.1¡¢7.2¡¢7.4¡¢7.5¡¢7.6 + ==================================*/ + +#ifndef MGRAPH_H +#define MGRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + */ + +/* ºê¶¨Òå */ +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +/* + * ¶¥µã¹ØϵÀàÐÍ + * + * ÔÚÎÞȨͼÖУ¬¸Ãֵͨ³£Îª0»ò1£¬±íʾÁ½¶¥µãÊÇ·ñÖ±½ÓÁ¬Í¨£» + * ÔÚÓÐȨͼÖУ¬¸Ãֵͨ³£ÎªÈ¨Öµ¡£ + */ +typedef int VRType; + +// ±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + // Èç¹ûÓеĻ°£¬ºóÐø»áÌí¼ÓÏàÓ¦µÄÊôÐÔ + void* v; // Ìí¼ÓÒ»¸öÎÞÒâÒåµÄ±äÁ¿À´Õ¼Î»£¬Èç¹û½á¹¹ÌåΪ¿ÕµÄ»°£¬ÔÚVC++Öлᱨ´í +} InfoType; + +// ±ßµÄÀàÐÍ£¬Ã¿Ìõ±ßÉÏ¿ÉÄÜÓи½¼ÓÐÅÏ¢info +typedef struct ArcCell { + VRType adj; // ¶¥µã¹Øϵ£¬ÔÚÓÐȨͼ¸úÎÞȨͼÖеĺ¬Ò岻ͬ + InfoType* info; // ±ßµÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcCell; + +/* ͼ/ÍøµÄÊý×é(ÁÚ½Ó¾ØÕó)´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + ArcCell arcs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // ÁÚ½Ó¾ØÕó + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} MGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.1 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(MGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateDG(MGraph* G); + +/* + * ¼Èë±ßµÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(MGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(MGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(MGraph G, int v); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(MGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(MGraph G, VertexType v, VertexType w); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + * + * ×¢£ºÔÚÍøÖУ¬Ê¹ÓÃ"-"À´±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ + */ +void PrintGraph(MGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.30/TestData_DG.txt b/VisualC++/ExerciseBook/07.30/TestData_DG.txt new file mode 100644 index 0000000..1a2f808 --- /dev/null +++ b/VisualC++/ExerciseBook/07.30/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú16 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬E¡¿¡¾B£¬E¡¿¡¾E£¬C¡¿¡¾C£¬F¡¿¡¾F£¬E¡¿¡¾D£¬E¡¿¡¾G£¬D¡¿¡¾E£¬H¡¿¡¾E£¬I¡¿¡¾I£¬H¡¿¡¾H£¬G¡¿¡¾J£¬G¡¿¡¾H£¬K¡¿¡¾L£¬I¡¿¡¾L£¬K¡¿¡¾K£¬J¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.31/07.31.c b/VisualC++/ExerciseBook/07.31/07.31.c new file mode 100644 index 0000000..ea76379 --- /dev/null +++ b/VisualC++/ExerciseBook/07.31/07.31.c @@ -0,0 +1,47 @@ +#include +#include "OLGraph.h" +#include "StronglyConnectedComponents.h" + +/* + * ÇóÓÐÏòͼµÄÇ¿Á¬Í¨·ÖÁ¿ + */ +void Algo_7_31(OLGraph G); + + +int main(int argc, char* argv[]) { + OLGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡ÓÐÏòͼ... \n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ÇóÓÐÏòͼµÄÇ¿Á¬Í¨·ÖÁ¿... \n"); + { + Algo_7_31(G); + printf("\n"); + } + + return 0; +} + + +/* + * ÇóÓÐÏòͼµÄÇ¿Á¬Í¨·ÖÁ¿ + */ +void Algo_7_31(OLGraph G) { + printf("TarjanËã·¨£º\n"); + Tarjan(G); + +// printf("KosarajuËã·¨£º\n"); +// Kosaraju(G); +} diff --git a/VisualC++/ExerciseBook/07.31/07.31.png b/VisualC++/ExerciseBook/07.31/07.31.png new 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-0,0 +1,41 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.31/07.31.vcxproj.user b/VisualC++/ExerciseBook/07.31/07.31.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.31/07.31.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.31/OLGraph.c b/VisualC++/ExerciseBook/07.31/OLGraph.c new file mode 100644 index 0000000..35a212a --- /dev/null +++ b/VisualC++/ExerciseBook/07.31/OLGraph.c @@ -0,0 +1,509 @@ +/*==================== + * ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.3 + ====================*/ + +#include "OLGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸ÃͼµÄ±ßÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(OLGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÓÐÏòͼ + * + * ×¢£º + * ½Ì²ÄÖÐʹÓÃÁËÍ·²å·¨À´²åÈ뻡£¬ÕâÖÖ×ö·¨µÄΨһÓŵãÊDzåÈë·½±ã£¬ + * µ«ÊÇÔÚÉæ¼°µ½É¾³ý»ò²éÕÒʱ£¬Ð§Âʽϵͣ» + * ¶øÇÒ£¬"Í·²å·¨"ÒÀÀµÊäÈëµÄ˳Ðò£¬Èç¹ûÊäÈëµÄ±ß/»¡ÊÇÂÒÐòµÄ£¬ + * Ôò×îÖÕ¹¹Ôì³öµÄͼ/ÍøÖеıß/»¡Ò²ÊÇÎÞÐòµÄ¡£ + * + * ΪÁË¿Ë·þÒÔÉÏȱµã£¬ÕâÀï¸ÄÓÃ"ÉýÐò"²åÈë·¨£¬±£Ö¤²åÈëµÄ»¡ÊÇ"ÉýÐò"µÄ¡£ + * µ«Í¬Ê±£¬ÕâÑù×ö»áʹ"²åÈë"Ëã·¨±äµÃ½ÏΪ¸´ÔÓ¡£ + */ +static Status CreateDG(OLGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + scanf("%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).xlist[i].data)); + (*G).xlist[i].firstin = NULL; + (*G).xlist[i].firstout = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼È뻡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(OLGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(OLGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.xlist[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(OLGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.xlist[v].data; +} + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(OLGraph G, VertexType v) { + int k; + ArcBox* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + k = LocateVex(G, v); + if(k == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.xlist[k].firstout; + if(r == NULL) { + return -1; + } else { + return r->headvex; + } +} + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(OLGraph G, VertexType v, VertexType w) { + int kv, kw; + ArcBox* r; + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kv = LocateVex(G, v); + if(kv == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // Ê×ÏÈÐèÒªÅжϸö¥µãÊÇ·ñ´æÔÚ + kw = LocateVex(G, w); + if(kw == -1) { + return -1; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + r = G.xlist[kv].firstout; + if(r == NULL) { + return -1; // Á´±íΪ¿Õ + } + + // ÔÚÁ´±íÖвéÕÒw + while(r != NULL && r->headvex < kw) { + r = r->tlink; + } + + // Èç¹ûûÕÒµ½w + if(r == NULL) { + return -1; + } + + // Èç¹ûÕÒµ½ÁËw£¬µ«ÊÇwºóÃæûÓбðµÄ¶¥µã£¬ÄÇôҲÎÞ·¨·µ»ØÁÚ½Óµã + if(r->headvex == kw && r->tlink != NULL) { + return r->tlink->headvex; + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info) { + ArcBox* p = (ArcBox*) malloc(sizeof(ArcBox)); + if(!p) { + exit(OVERFLOW); + } + + p->tailvex = tailvex; + p->headvex = headvex; + + p->hlink = hlink; + p->tlink = tlink; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcBox* p; + ArcBox* pre; + ArcBox* r; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + + // ÔÚºáÏòÁ´±íÉϲéÕÒºÏÊʵIJåÈëλÖà + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->xlist[tail].firstout; + while(r != NULL && r->headvex < head) { + pre = r; + r = r->tlink; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->headvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + p = newArcBoxPtr(tail, head, NULL, r, info); + + if(pre == NULL) { + G->xlist[tail].firstout = p; + } else { + pre->tlink = p; + } + } + + // Èç¹ûûÓз¢Éú¸²¸Ç£¬ËµÃ÷²åÈëÁËнáµã£¬´ËʱÐèÒª¿¼ÂÇÆäÔÚ×ÝÏòÁ´±íÉϵÄλÖà + if(overlay == FALSE) { + // ÔÚ×ÝÏòÁ´±íÉϲéÕÒºÏÊʵIJåÈëλÖà + pre = NULL; + // Ö¸ÏòÒÔheadΪͷµÄÊ×Ìõ±ß/»¡ + r = G->xlist[head].firstin; + while(r != NULL && r->tailvex < tail) { + pre = r; + r = r->hlink; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->tailvex == tail) { + // ²»»áÖ´Ðе½ÕâÀÒòΪÈç¹û·¢ÉúÁ˸²¸Ç£¬Ç°Ãæ½ø²»À´ + } else { + /* ÖÁ´Ë£¬½áµãpÒѾ­´æÔÚÁË */ + + if(pre == NULL) { + p->hlink = G->xlist[head].firstin; + G->xlist[head].firstin = p; + } else { + p->hlink = pre->hlink; + pre->hlink = p; + } + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * Éî¶ÈÓÅÏȱéÀú(´Ë´¦½èÖúµÝ¹éʵÏÖ) + */ +void DFSTraverse(OLGraph G, Status(Visit)(VertexType)) { + int v; + + // ʹÓÃÈ«¾Ö±äÁ¿VisitFunc£¬Ê¹µÃDFS²»±ØÉèÖú¯ÊýÖ¸Õë²ÎÊý + VisitFunc = Visit; + + // ·ÃÎʱêÖ¾Êý×é³õʼ»¯ + for(v = 0; v < G.vexnum; v++) { + visited[v] = FALSE; + } + + // ´Ë´¦ÐèÒª±éÀúµÄÔ­ÒòÊDz¢²»Äܱ£Ö¤ËùÓж¥µã¶¼Á¬½ÓÔÚÁËÒ»Æð + for(v = 0; v < G.vexnum; v++) { + if(!visited[v]) { + DFS(G, v); // ¶ÔÉÐδ·ÃÎʵĶ¥µãµ÷ÓÃDFS + } + } +} + +/* + * Éî¶ÈÓÅÏȱéÀúºËÐĺ¯Êý + */ +static void DFS(OLGraph G, int v) { + int w; + + // ´ÓµÚv¸ö¶¥µã³ö·¢µÝ¹éµØÉî¶ÈÓÅÏȱéÀúͼG + visited[v] = TRUE; + + // ·ÃÎʵÚv¸ö¶¥µã + VisitFunc(G.xlist[v].data); + + for(w = FirstAdjVex(G, G.xlist[v].data); + w >= 0; + w = NextAdjVex(G, G.xlist[v].data, G.xlist[w].data)) { + if(!visited[w]) { + DFS(G, w); // ¶ÔÉÐδ·ÃÎʵĶ¥µãµ÷ÓÃDFS + } + } +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(OLGraph G) { + int i, head; + ArcBox* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.xlist[i].data); + + head = 0; + p = G.xlist[i].firstout; + + while(p != NULL) { + if(head < p->headvex) { + if(IncInfo == 0) { + printf(" "); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf(" "); + } + } else { + if(IncInfo == 0) { + printf("<%c, %c>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("<%c, %c, %2d>", G.xlist[p->tailvex].data, G.xlist[p->headvex].data, p->info->weight); + } + + p = p->tlink; + } + + head++; + + if(p != NULL) { + printf(" "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.31/OLGraph.h b/VisualC++/ExerciseBook/07.31/OLGraph.h new file mode 100644 index 0000000..7008739 --- /dev/null +++ b/VisualC++/ExerciseBook/07.31/OLGraph.h @@ -0,0 +1,175 @@ +/*==================== + * ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾ + * + * °üº¬Ëã·¨: 7.3 + ====================*/ + +#ifndef OLGRAPH_H +#define OLGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢ÓÐÏòͼ¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcBox { + int tailvex; // »¡Í·¶¥µãλÖà + int headvex; // »¡Î²¶¥µãλÖà + struct ArcBox* hlink; // Ö¸ÏòÏÂÒ»¸öÓµÓÐÏàͬ»¡Í·µÄ»¡ + struct ArcBox* tlink; // Ö¸ÏòÏÂÒ»¸öÓµÓÐÏàͬ»¡Î²µÄ»¡ + InfoType* info; // ¸Ã»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +} ArcBox; + +// ÿ¸öºáÏòÁ´±íµÄÍ·½áµã +typedef struct VexNode { + VertexType data; // ¶¥µã + ArcBox* firstin; // Ö¸Ïò¸Ã¶¥µãµÄµÚÒ»ÌõÈ뻡 + ArcBox* firstout; // Ö¸Ïò¸Ã¶¥µãµÄµÚÒ»Ìõ³ö»¡ +} VexNode; + +/* ͼµÄÊ®×ÖÁ´±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VexNode xlist[MAX_VERTEX_NUM]; // ±íÍ·ÏòÁ¿ + int vexnum, arcnum; // ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} OLGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(OLGraph* G, char* path[]); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ¹¹ÔìÓÐÏòͼ + * + * ×¢£º + * ½Ì²ÄÖÐʹÓÃÁËÍ·²å·¨À´²åÈ뻡£¬ÕâÖÖ×ö·¨µÄΨһÓŵãÊDzåÈë·½±ã£¬ + * µ«ÊÇÔÚÉæ¼°µ½É¾³ý»ò²éÕÒʱ£¬Ð§Âʽϵͣ» + * ¶øÇÒ£¬"Í·²å·¨"ÒÀÀµÊäÈëµÄ˳Ðò£¬Èç¹ûÊäÈëµÄ±ß/»¡ÊÇÂÒÐòµÄ£¬ + * Ôò×îÖÕ¹¹Ôì³öµÄͼ/ÍøÖеıß/»¡Ò²ÊÇÎÞÐòµÄ¡£ + * + * ΪÁË¿Ë·þÒÔÉÏȱµã£¬ÕâÀï¸ÄÓÃ"ÉýÐò"²åÈë·¨£¬±£Ö¤²åÈëµÄ»¡ÊÇ"ÉýÐò"µÄ¡£ + * µ«Í¬Ê±£¬ÕâÑù×ö»áʹ"²åÈë"Ëã·¨±äµÃ½ÏΪ¸´ÔÓ¡£ + */ +static Status CreateDG(OLGraph* G); + +/* + * ¼È뻡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(OLGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(OLGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(OLGraph G, int v); + +/* + * Ê׸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄÊ׸öÁÚ½Óµã + */ +int FirstAdjVex(OLGraph G, VertexType v); + +/* + * ÏÂÒ»¸öÁÚ½Óµã + * + * ·µ»Ø¶¥µãvµÄ(Ïà¶ÔÓÚwµÄ)ÏÂÒ»¸öÁÚ½Óµã + */ +int NextAdjVex(OLGraph G, VertexType v, VertexType w); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcBox* newArcBoxPtr(int tailvex, int headvex, ArcBox* hlink, ArcBox* tlink, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(OLGraph* G, VertexType v, VertexType w, ...); + +/* + * Éî¶ÈÓÅÏȱéÀú(´Ë´¦½èÖúµÝ¹éʵÏÖ) + */ +void DFSTraverse(OLGraph G, Status(Visit)(VertexType)); + +/* + * Éî¶ÈÓÅÏȱéÀúºËÐĺ¯Êý + */ +static void DFS(OLGraph G, int v); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(OLGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.31/StronglyConnectedComponents.c b/VisualC++/ExerciseBook/07.31/StronglyConnectedComponents.c new file mode 100644 index 0000000..539f69d --- /dev/null +++ b/VisualC++/ExerciseBook/07.31/StronglyConnectedComponents.c @@ -0,0 +1,262 @@ +/*================== + * ÓÐÏòͼµÄÇ¿Á¬Í¨·ÖÁ¿ + ===================*/ + +#include "StronglyConnectedComponents.h" + + +/* È«¾Ö±äÁ¿ */ +static int count; // ¶Ô·ÃÎʹýµÄ½áµã¼ÆÊý + +// KosarajuËã·¨ +static Boolean visited[MAX_VERTEX_NUM]; // ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static int finished[MAX_VERTEX_NUM]; // ´æ´¢Éî¶ÈÓÅÏȱéÀúÖзÃÎʵ½µÄÔªËØ + +// TarjanËã·¨ +static int dfs[MAX_VERTEX_NUM]; // Éî¶ÈÓÅÏȱéÀúʱÒÀ´Î·ÃÎʵ½µÄÔªËØ(µÄÐòºÅ) +static int low[MAX_VERTEX_NUM]; // low[v] ==> ÔªËØv¿ÉÒÔ»ØËݵ½µÄ×îÔç×æÏÈ +static int stack[MAX_VERTEX_NUM]; // ´æ´¢±éÀú¹ý³ÌÖÐÓöµ½µÄ½áµã + + +/* + * (1) TarjanËã·¨ÇóÈ¡Ç¿Á¬Í¨·ÖÁ¿ + * + * ºËÐÄ˼ÏëÊÇÉî¶ÈÓÅÏȱéÀú+»ØËÝ£¬Óë±¾ÕµÚ8½ÚÇó¹Ø½ÚµãµÄËã·¨ÓÐÀàËÆÖ®´¦ + */ +void Tarjan(OLGraph G) { + int i; + + count = -1; // ³õʼ»¯¼ÆÊý + + // ³õʼ»¯¶¥µãΪÉÐδ·ÃÎÊ + for(i = 0; i < G.vexnum; i++) { + dfs[i] = -1; + low[i] = -1; + } + + printf("´òÓ¡µ±Ç°ÓÐÏòͼÖеĸ÷×éÇ¿Á¬Í¨·ÖÁ¿£º\n"); + + for(i = 0; i < G.vexnum; i++) { + if(dfs[i] == -1) { + DFS_Tarjan(G, i); + } + } +} + +/* + * Éî¶ÈÓÅÏȱéÀú¶¥µãv¿É´ïµÄËùÓÐÔªËØ£¬²¢³¢ÊÔÕÒ³öÆäÖеÄÇ¿Á¬Í¨·ÖÁ¿ + */ +static void DFS_Tarjan(OLGraph G, int v) { + int min; + int w; + int i; + + ++count; + + // ¼Ç¼·ÃÎÊ´ÎÐò + dfs[v] = min = count; + + // ¼Ç¼Óöµ½µÄ½áµã + stack[count] = v; + + // Éî¶È±éÀúvÆðʼµÄͼ + for(w = FirstAdjVex(G, G.xlist[v].data); w >= 0; w = NextAdjVex(G, G.xlist[v].data, G.xlist[w].data)) { + // Èç¹ûw½áµãδ·ÃÎÊ + if(dfs[w] == -1) { + DFS_Tarjan(G, w); // ¶ÔÉÐδ·ÃÎʵĶ¥µãµ÷ÓÃDFS + + if(low[w] < min) { + min = low[w]; + } + + // Óöµ½ÒÑ·ÃÎʹýµÄ½áµã + } else { + // Èç¹ûwÒѱ»·ÃÎʹý£¬ÇÒwÊÇvÔÚÉú³ÉÊ÷ÉϵÄ×æÏÈ + if(dfs[w] < min) { + min = dfs[w]; + } + } + } + + // Èç¹û"×æÏÈ"½áµã»¹Ã»ÓÐÈ·¶¨»ØËÝ×æÏÈ£¬ÔòÖ»¼Ç¼"×æÏÈ"½áµãÉϵķÃÎÊ´ÎÐò + if(low[stack[min]]==-1) { + low[v] = min; + } else { + // »ñÈ¡"×æÏÈ"½áµãÉϵĿɻØËÝ×æÏÈ + low[v] = low[stack[min]]; + } + + // »ñÈ¡µ±Ç°ÒÑËÑË÷µ½µÄÇ¿Á¬Í¨×Ó¼¯ + if(low[v] == dfs[v]) { + for(i = count; i >= 0; i--) { + if(low[stack[i]] == dfs[v]) { + printf("%c ", GetVex(G, stack[i])); + count--; + } else { + break; + } + } + printf("\n"); + } +} + + +/* + * (2) KosarajuËã·¨ÇóÈ¡Ç¿Á¬Í¨·ÖÁ¿£¬ÕâÊǽ̲ÄÖÐÌáµ½µÄËã·¨ + * + * ºËÐÄ˼ÏëÊÇ£º + * 1.´Óij¶¥µã³ö·¢£¬Éî¶È±éÀúÓÐÏòͼ£¬µÃµ½Ò»¸ö·ÃÎÊÐòÁУ» + * 2.ÄæÖÃÓÐÏòͼ£» + * 3.±éÀúÉÏÃæµÃ³öµÄ·ÃÎÊÐòÁУ¬¶ÔÆäÖеÄÿ¸ö¶¥µã½øÐÐÉî¶ÈÓÅÏȱéÀú¡£ + */ +void Kosaraju(OLGraph G) { + int i, v; + + count = 0; // ³õʼ»¯¼ÆÊý + + // 1.´Óij¶¥µã³ö·¢£¬Éî¶È±éÀúÓÐÏòͼ£¬µÃµ½Ò»¸ö·ÃÎÊÐòÁÐ + DFSTraverse(G, StoreElem); + + // 2.ÄæÖÃÓÐÏòͼ + InverseGraph(&G); + + // ·ÃÎʱêÖ¾Êý×é³õʼ»¯ + for(i = 0; i < G.vexnum; i++) { + visited[i] = FALSE; + } + + printf("´òÓ¡µ±Ç°ÓÐÏòͼÖеĸ÷×éÇ¿Á¬Í¨·ÖÁ¿£º\n"); + + // 3.±éÀúÉÏÃæµÃ³öµÄ·ÃÎÊÐòÁУ¬¶ÔÆäÖеÄÿ¸ö¶¥µã½øÐÐÉî¶ÈÓÅÏȱéÀú + for(i = 0; i < count; i++) { + v = LocateVex(G, finished[i]); + + if(visited[v] == TRUE) { + continue; + } + + DFS_Inverse(G, v); + printf("\n"); + } +} + +/* + * ÄæÖÃÓÐÏòͼ£¨Ê®×ÖÁ´±í´æ´¢½á¹¹£©£¬¼´½«ËùÓл¡µÄ·½ÏòÄæÖà + * + * ºËÐÄ˼ÏëÊÇ£º + * 1.´´½¨Ò»¸ö²»°üº¬Èκλ¡µÄ¿Õͼ£» + * 2.ÒÀ´Î±éÀúÿ¸ö¶¥µãµÄÿÌõÈ뻡£» + * 3.ÕªÏÂÓöµ½µÄÈ뻡£¬½«Æä²åÈëµ½¿ÕͼÖбä³É³ö»¡¡£ + */ +static void InverseGraph(OLGraph* G) { + OLGraph newG = *G; + int i; + ArcBox* r; + ArcBox* pre, * p; + int tmp; + + for(i = 0; i < newG.vexnum; i++) { + newG.xlist[i].firstin = NULL; + newG.xlist[i].firstout = NULL; + } + + for(i = 0; i < (*G).vexnum; i++) { + while((*G).xlist[i].firstin != NULL) { + // ÕªÏÂÓöµ½µÄÖ¸Ïò¶¥µãiµÄÈ뻡 + r = (*G).xlist[i].firstin; + (*G).xlist[i].firstin = r->hlink; + + // ÄæÖû¡µÄ·½Ïò + tmp = r->headvex; + r->headvex = r->tailvex; + r->tailvex = tmp; + + r->hlink = NULL; + r->tlink = NULL; + + // ²åÈëµ½ÐÂͼµÄ×ÝÏòÉÏ + pre = newG.xlist[r->headvex].firstin; + if(pre == NULL) { + newG.xlist[r->headvex].firstin = r; + } else { + if(r->tailvex < pre->tailvex) { + r->hlink = newG.xlist[r->headvex].firstin; + newG.xlist[r->headvex].firstin = r; + } else if(r->tailvex > pre->tailvex) { + p = pre->hlink; + + while(p != NULL && r->tailvex > p->tailvex) { + pre = p; + p = p->hlink; + } + + if(p == NULL || r->tailvex < p->tailvex) { + r->hlink = p; + pre->hlink = r; + } + } else { + // µÈÓÚʱ²»´¦Àí + } + } + + // ²åÈëµ½ÐÂͼµÄºáÏòÉÏ + pre = newG.xlist[r->tailvex].firstout; + if(pre == NULL) { + newG.xlist[r->tailvex].firstout = r; + } else { + if(r->headvex < pre->headvex) { + r->tlink = newG.xlist[r->tailvex].firstout; + newG.xlist[r->tailvex].firstout = r; + } else if(r->headvex > pre->headvex) { + p = pre->tlink; + + while(p != NULL && r->headvex > p->headvex) { + pre = p; + p = p->tlink; + } + + if(p == NULL || r->headvex < p->headvex) { + r->tlink = p; + pre->tlink = r; + } + } else { + // µÈÓÚʱ²»´¦Àí + } + } + } + } + + *G = newG; +} + +/* + * ´æ´¢Éî¶ÈÓÅÏȱéÀúÖзÃÎʵ½µÄÔªËØ + */ +static Status StoreElem(VertexType c) { + finished[count++] = c; + return OK; +} + +/* + * Éî¶È±éÀúÒѾ­ÄæÖúóµÄͼ + */ +static void DFS_Inverse(OLGraph G, int v) { + int w; + + // Èç¹ûÒÑ·ÃÎʹý£¬Ö±½Ó·µ»Ø + if(visited[v] == TRUE) { + return; + } + + // ´ÓµÚv¸ö¶¥µã³ö·¢µÝ¹éµØÉî¶ÈÓÅÏȱéÀúͼG + visited[v] = TRUE; + + // ´òÓ¡·ÃÎʵ½µÄ¶¥µã + printf("%c ", GetVex(G, v)); + + for(w = FirstAdjVex(G, G.xlist[v].data); + w >= 0; + w = NextAdjVex(G, G.xlist[v].data, G.xlist[w].data)) { + DFS_Inverse(G, w); // ¶ÔÉÐδ·ÃÎʵĶ¥µãµ÷ÓÃDFS + } +} diff --git a/VisualC++/ExerciseBook/07.31/StronglyConnectedComponents.h b/VisualC++/ExerciseBook/07.31/StronglyConnectedComponents.h new file mode 100644 index 0000000..1dec1aa --- /dev/null +++ b/VisualC++/ExerciseBook/07.31/StronglyConnectedComponents.h @@ -0,0 +1,56 @@ +/*================== + * ÓÐÏòͼµÄÇ¿Á¬Í¨·ÖÁ¿ + ===================*/ + +#ifndef STRONGLYCONNECTEDCOMPONENTS_H +#define STRONGLYCONNECTEDCOMPONENTS_H + +#include +#include "OLGraph.h" //**¡ø07 ͼ**// + +/* + * (1) TarjanËã·¨ + * + * ÇóÈ¡ÓÐÏòͼµÄÇ¿Á¬Í¨·ÖÁ¿ + */ +void Tarjan(OLGraph G); + +/* + * Éî¶ÈÓÅÏȱéÀú¶¥µãv¿É´ïµÄËùÓÐÔªËØ£¬²¢³¢ÊÔÕÒ³öÆäÖеÄÇ¿Á¬Í¨·ÖÁ¿ + */ +static void DFS_Tarjan(OLGraph G, int v); + + +/* + * (2) KosarajuËã·¨ + * + * ÇóÈ¡ÓÐÏòͼµÄÇ¿Á¬Í¨·ÖÁ¿£¬ÕâÊǽ̲ÄÖÐÌáµ½µÄËã·¨ + * + * ºËÐÄ˼ÏëÊÇ£º + * 1.´Óij¶¥µã³ö·¢£¬Éî¶È±éÀúÓÐÏòͼ£¬µÃµ½Ò»¸ö·ÃÎÊÐòÁУ» + * 2.ÄæÖÃÓÐÏòͼ£» + * 3.±éÀúÉÏÃæµÃ³öµÄ·ÃÎÊÐòÁУ¬¶ÔÆäÖеÄÿ¸ö¶¥µã½øÐÐÉî¶ÈÓÅÏȱéÀú¡£ + */ +void Kosaraju(OLGraph G); + +/* + * ÄæÖÃÓÐÏòͼ£¨Ê®×ÖÁ´±í´æ´¢½á¹¹£©£¬¼´½«ËùÓл¡µÄ·½ÏòÄæÖà + * + * ºËÐÄ˼ÏëÊÇ£º + * 1.´´½¨Ò»¸ö²»°üº¬Èκλ¡µÄ¿Õͼ£» + * 2.ÒÀ´Î±éÀúÿ¸ö¶¥µãµÄÿÌõÈ뻡£» + * 3.ÕªÏÂÓöµ½µÄÈ뻡£¬½«Æä²åÈëµ½¿ÕͼÖбä³É³ö»¡¡£ + */ +static void InverseGraph(OLGraph *G); + +/* + * ´æ´¢Éî¶ÈÓÅÏȱéÀúÖзÃÎʵ½µÄÔªËØ + */ +static Status StoreElem(VertexType c); + +/* + * Éî¶È±éÀúÒѾ­ÄæÖúóµÄͼ£¬½öÏÞÄÚ²¿Ê¹Óà + */ +static void DFS_Inverse(OLGraph G, int v); + +#endif diff --git a/VisualC++/ExerciseBook/07.31/TestData_DG.txt b/VisualC++/ExerciseBook/07.31/TestData_DG.txt new file mode 100644 index 0000000..417c8b5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.31/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú23 +»¡Êý¡ú32 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L£¬M£¬N£¬O£¬P£¬Q£¬R£¬S£¬T£¬U£¬V£¬W¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾B£¬D¡¿¡¾D£¬A¡¿¡¾B£¬C¡¿¡¾C£¬E¡¿¡¾E£¬F¡¿¡¾F£¬C¡¿¡¾C£¬G¡¿¡¾G£¬C¡¿¡¾E£¬U¡¿¡¾U£¬V¡¿¡¾V£¬W¡¿¡¾W£¬C¡¿¡¾V£¬E¡¿¡¾D£¬O¡¿¡¾D£¬I¡¿¡¾O£¬I¡¿¡¾I£¬J¡¿¡¾J£¬N¡¿¡¾N£¬O¡¿¡¾J£¬H¡¿¡¾N£¬R¡¿¡¾R£¬Q¡¿¡¾Q£¬R¡¿¡¾A£¬L¡¿¡¾L£¬M¡¿¡¾M£¬K¡¿¡¾K£¬L¡¿¡¾P£¬S¡¿¡¾S£¬P¡¿¡¾P£¬T¡¿¡¾T£¬S¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.32/07.32.c b/VisualC++/ExerciseBook/07.32/07.32.c new file mode 100644 index 0000000..79f26d6 --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/07.32.c @@ -0,0 +1,46 @@ +#include +#include "CSTree.h" +#include "ALGraph.h" +#include "MinimumSpanningTree.h" + +/* + * ÇóÎÞÏòÍøµÄ×îСÉú³ÉÉ­ÁÖ + */ +void Algo_7_32(ALGraph G); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡ÎÞÏòÍø... \n"); + { + char* path[4]; + + path[0] = ""; + path[1] = ""; + path[2] = ""; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + } + PressEnterToContinue(debug); + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ʹÓÃÆÕÀïÄ·Ëã·¨»ñÈ¡×îСÉú³ÉÉ­ÁÖ... \n"); + { + Algo_7_32(G); + } + PressEnterToContinue(debug); + +} + + +/* + * ÇóÎÞÏòÍøµÄ×îСÉú³ÉÉ­ÁÖ + */ +void Algo_7_32(ALGraph G) { + CSTree T = MinSpanTree_PRIM(G); + + // Êä³öÇóÈ¡µÄ×îСÉú³ÉÉ­ÁÖ£¬´Ë²½Öè¿ÉÑ¡ + PrintTree(T); +} diff --git a/VisualC++/ExerciseBook/07.32/07.32.png b/VisualC++/ExerciseBook/07.32/07.32.png new file mode 100644 index 0000000000000000000000000000000000000000..efa1f3f0fdd5da47688fe5366d058d26e043cc72 GIT binary patch literal 14783 zcmYj&bzGEB^e)}8#1hg-E+rwUbT`YYNJilNl2%F0@AURfHWu} z;eGY{``vs0*bnUc&d!{fIp@qd&v_VR;U`W9< zloep!<_G!yh74*8hqtyjw5xr8&K{qV7G{{edd;bJKEm2yEw^Cg$(upRr@%m6V&)!K zKjWj{zsX8N$p;=mj`Z63_{~u#YNaQIzY(4qa=Rbxvs4|ZL`=O zA!G{!kuowd9V{?1GsiSr5hK~z_K%KAls(&)RZD_DdB=P8{ZWVR{CeBckgr=l?^N)% zQ2DYjtgfNKuv!o~C1G!8_x*c7>V#0wEfd2Cq)K~MQAEF z!nuU=Z@fYn4-*5mjvpnW{6!z}2jVq-k?f1iSIEp|A!M%1`&oRZOD=C7<@)NGHz&4~ zG!;+d2O#VX+tpi$#Lm>iammFMpNvskzI46yNx@QBA91ZhRJ1(B#|(k 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$(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.32/07.32.vcxproj.filters b/VisualC++/ExerciseBook/07.32/07.32.vcxproj.filters new file mode 100644 index 0000000..9cac618 --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/07.32.vcxproj.filters @@ -0,0 +1,53 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.32/07.32.vcxproj.user b/VisualC++/ExerciseBook/07.32/07.32.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/07.32.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.32/ALGraph.c b/VisualC++/ExerciseBook/07.32/ALGraph.c new file mode 100644 index 0000000..dabca2b --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/ALGraph.c @@ -0,0 +1,326 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÎÞÏòͼ + kind = 3; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.32/ALGraph.h b/VisualC++/ExerciseBook/07.32/ALGraph.h new file mode 100644 index 0000000..dfce53d --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.32/CSTree.c b/VisualC++/ExerciseBook/07.32/CSTree.c new file mode 100644 index 0000000..3a1f268 --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/CSTree.c @@ -0,0 +1,76 @@ +/*=================================== + * Ê÷µÄ¶þ²æÁ´±í£¨º¢×Ó-Ðֵܣ©½á¹¹´æ´¢±íʾ + ====================================*/ + +#include "CSTree.h" + +int count = 0; + +/* + * ³õʼ»¯ + * + * ¹¹Ôì¿ÕÊ÷¡£ + */ +Status InitTree(CSTree* T) { + if(T == NULL) { + return ERROR; + } + + *T = NULL; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏÊ÷ÊÇ·ñΪ¿ÕÊ÷¡£ + */ +Status TreeEmpty(CSTree T) { + return T == NULL ? TRUE : FALSE; +} + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ +void PrintTree(CSTree T) { + + // Óöµ½¿ÕÊ÷ÔòÎÞÐè¼ÌÐø¼ÆËã + if(TreeEmpty(T)) { + printf("\n"); + return; + } + + Print(T, 0); + + printf("\n"); +} + +// ͼÐλ¯Êä³öµ±Ç°½á¹¹ÄÚ²¿ÊµÏÖ +static void Print(CSTree T, int row) { + int k; + + if(T == NULL) { + return; + } + + if(row==0) { + printf("\nµÚ %d ¿ÃÊ÷...\n", ++count); + } + + // ·ÃÎʵ±Ç°½áµã + printf("%c ", T->data); + + Print(T->firstchild, row + 1); + + if(T->nextsibling != NULL) { + printf("\n"); + + for(k = 0; k < row; k++) { + printf(". "); + } + + Print(T->nextsibling, row); + } +} diff --git a/VisualC++/ExerciseBook/07.32/CSTree.h b/VisualC++/ExerciseBook/07.32/CSTree.h new file mode 100644 index 0000000..b864682 --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/CSTree.h @@ -0,0 +1,54 @@ +/*=================================== + * Ê÷µÄ¶þ²æÁ´±í£¨º¢×Ó-Ðֵܣ©½á¹¹´æ´¢±íʾ + ====================================*/ + +#ifndef CSTREE_H +#define CSTREE_H + +#include +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" + +/* µ¥¸ö½áµã×î´óµÄº¢×ÓÊýÁ¿ */ +#define MAX_CHILD_COUNT 8 + +/* Ê÷µÄÔªËØÀàÐͶ¨Ò壬ÕâÀï¼ÙÉèÆäÔªËØÀàÐÍΪchar */ +typedef char TElemType; + +/* (º¢×Ó-ÐÖµÜ)Ê÷µÄ½áµã¶¨Òå */ +typedef struct CSNode { + TElemType data; + struct CSNode* firstchild; // Ö¸Ïò³¤×Ó + struct CSNode* nextsibling; // Ö¸ÏòÓÒÐÖµÜ +} CSNode; + +/* (º¢×Ó-ÐÖµÜ)Ê÷ÀàÐͶ¨Òå */ +typedef CSNode* CSTree; + + +/* + * ³õʼ»¯ + * + * ¹¹Ôì¿ÕÊ÷¡£ + */ +Status InitTree(CSTree* T); + +/* + * ÅÐ¿Õ + * + * ÅжÏÊ÷ÊÇ·ñΪ¿ÕÊ÷¡£ + */ +Status TreeEmpty(CSTree T); + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ +void PrintTree(CSTree T); + +// ͼÐλ¯Êä³öµ±Ç°½á¹¹ÄÚ²¿ÊµÏÖ +static void Print(CSTree T, int row); + +#endif diff --git a/VisualC++/ExerciseBook/07.32/MFSet.c b/VisualC++/ExerciseBook/07.32/MFSet.c new file mode 100644 index 0000000..8b9d29d --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/MFSet.c @@ -0,0 +1,93 @@ +/*===== + * ¼¯ºÏ + ======*/ + +#include "MFSet.h" + +/* + * ³õʼ»¯Ò»¸öÓɶà¸ö×Ó¼¯£¨Ã¿¸ö×Ó¼¯Ö»°üº¬µ¥¸ö³ÉÔ±£©¹¹³ÉµÄ¼¯ºÏS¡£ + * + * + *¡¾±¸×¢¡¿ + * + * ÕâÀï¶ÔµÚ6ÕµÄMFSet×öÁ˸Ķ¯£º + * 1.Ö±½ÓÔÚ²ÎÊýÖд«Èë×Ó¼¯ÊýÁ¿ + * 2.×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý£¬Õâ»áÓ°Ïìµ½ºóÃæµÄº¯ÊýÖйØÓÚϱêµÄÅÐ¶Ï + */ +Status initial_mfset(MFSet* S, int n) { + int i; + + if(n <= 0) { + return ERROR; + } + + S->n = n; + S->r = 0; // µÚÒ»¸ö×Ó¼¯µÄλÖÃÔÚ0ºÅµ¥Ôª + + // ×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý + for(i = 0; i < n; i++) { + S->nodes[i].parent = -1; + } + + return OK; +} + +/* + * ÇóÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯SiºÍ×Ó¼¯SjµÄ²¢¼¯¡£ + */ +Status merge_mfset(MFSet* S, int i, int j) { + + // Ë÷ÒýÔ½½ç + if(i < 0 || i > S->n - 1 || j < 0 || j > S->n - 1) { + return ERROR; + } + + // ÏàͬµÄ×Ó¼¯ÎÞÐèºÏ²¢£¬Ö±½Ó·µ»Ø + if(i == j) { + return OK; + } + + S->nodes[i].parent = j; + + return OK; +} + +/* + * ÔÚ¼¯ºÏSÖвéÕÒÔªËØiµ±Ç°ËùÊôµÄ×Ó¼¯¡£ + */ +int find_mfset(MFSet S, int i) { + int j; + + // Ë÷ÒýÔ½½ç + if(i < 0 || i > S.n - 1) { + return -1; + } + + // ²éÕÒiËùÊôµÄ×Ó¼¯µÄ¸ù½áµã + for(j = i; S.nodes[j].parent >= 0; j = S.nodes[j].parent) { + // ´ÓÏÂÍùÉϲéÕÒ + } + + return j; +} + +/* + * ¸ù¾ÝµÈ¼Û¹ØϵRÀ´ÕûÀí/½¨Á¢¼¯ºÏSÖеÄÔªËØ(×Ó¼¯)¡£ + */ +Status build_mfset(MFSet* S, Relation R) { + int k; + int i, j; + + for(k = 0; k < R.n; k++) { + // ÏÈ»ñÈ¡×Ó¼¯¸ù½áµã + i = find_mfset(*S, R.pairs[k].i); + j = find_mfset(*S, R.pairs[k].j); + + // ¶ÔÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯½øÐй鲢 + if(!merge_mfset(S, i, j)) { + return ERROR; + } + } + + return OK; +} diff --git a/VisualC++/ExerciseBook/07.32/MFSet.h b/VisualC++/ExerciseBook/07.32/MFSet.h new file mode 100644 index 0000000..2a061a5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/MFSet.h @@ -0,0 +1,92 @@ +/*===== + * ¼¯ºÏ + ======*/ + +#ifndef MFSET_H +#define MFSET_H + +#include +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include // +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* Ê÷µÄ×î´ó½áµãÊý£¬ÕâÀïָʾ×Ó¼¯×î´óÊýÁ¿ */ +#define MAX_TREE_SIZE 1024 + +/* ¶þÔª¹Øϵ¶ÔÊýÁ¿ */ +#define MAX_PAIR_SIZE 100 + +/* + * (Ë«Ç×)Ê÷µÄ½áµã¶¨Òå + * + *¡¾×¢¡¿ + * 1.ÒÀÕս̲ĵÄͼʾ£¬Ë«Ç×Ê÷ÔÚ¼¯ºÏµÄÓ¦ÓÃÖУ¬ÆäÄ£ÐÍÒѱ»¼ò»¯£º¼´Ë«Ç×½áµã²»ÔÙ±£ÁôÊý¾ÝÓò¡£ + * 2.½áµãµÄË÷ÒýÓÃÀ´±íʾËüÊÇÄÄÒ»¸ö×Ó¼¯£¬Ëü»á×÷Ϊ¸ü´ó×Ó¼¯µÄÒ»¸öÔªËØ´æÔÚ¡£ + * 3.È·¶¨Ä³¸ö×Ó¼¯ÊôÓÚSÖÐÄĸö¸ü´óµÄ×Ó¼¯Ê±£¬ÐèÒªÏòÉÏ×·Ëݵ½¸ü´ó×Ó¼¯µÄ¸ù¡£ + * 4.ʵ¼ÊʹÓÃÖУ¬Ã¿¸ö×Ó¼¯»á°üº¬ºÜ¶àÊý¾ÝÔªËØ£¬´Ëʱ¿ÉÒÔ½«Ã¿¸öÊý¾ÝÔªËØÓëÆäËùÊôµÄ×Ó¼¯½¨Á¢¹ØÁª¹Øϵ + * ¼´°Ñÿ¸öÊý¾ÝÔªËØÓ뼯ºÏSÖи÷½áµãµÄË÷Òý¹ØÁªÆðÀ´ + */ +typedef struct PTNode { + int parent; // Ë«Ç×λÖÃÓò£¬ÓÃÀ´Ö¸Ê¾¸Ã½áµãËùÊôµÄ×Ó¼¯ +} PTNode; + +/* + * (Ë«Ç×)Ê÷ÀàÐͶ¨Òå + * + *¡¾×¢¡¿ + * 1.Ê÷ÖнáµãÔÚnodesÖÐ"½ôÁÚ"´æ´¢£¬Ã»ÓпÕ϶ + * 2.µ±×Ó¼¯´æÔÚʱ£¬Ê÷¸ùrÉèÖÃΪ1£¬·ñÔò£¬Ê÷¸ùrÉèÖÃΪ0 + * 3.³ý¸ù½áµãÍ⣬ÆäËû½áµãÒÀ´Î°´²ãÐò˳ןù½áµãÍùÏÂÅÅÁÐ + * 5.ÕâÀï¼ÙÉènodes¿Õ¼äÊÇ×ã¹»´óµÄ£¬¿ÉÒÔÊÓÐèÇó½«Æä¸ÄΪ¶¯Ì¬·ÖÅä´æ´¢ + */ +typedef struct { + PTNode nodes[MAX_TREE_SIZE]; // ´æ´¢Ê÷Öнáµã + int r; // Ê÷¸ùλÖÃ(Ë÷Òý)£¬ÕâÀïÓÃÀ´Ö¸Ê¾µÚÒ»¸ö×Ó¼¯µÄλÖà + int n; // Ê÷µÄ½áµãÊý£¬ÕâÀïÓÃÀ´Ö¸Ê¾ËùÓÐ +} PTree; + +/* ¼¯ºÏÀàÐͶ¨Òå */ +typedef PTree MFSet; + +/* µ¥¸ö¶þÔª¹Øϵ¶Ô */ +typedef struct { + int i; + int j; +} Pair; + +/* ¼¯ºÏÄڵĵȼ۹Øϵ */ +typedef struct { + Pair pairs[MAX_PAIR_SIZE]; // ×ã¹»´óµÄ¿Õ¼ä´æ´¢¶þÔª¹Øϵ + int n; // ÒÑÖªµÄµÈ¼Û¹ØϵÊýÁ¿ +} Relation; + + +/* + * ³õʼ»¯Ò»¸öÓɶà¸ö×Ó¼¯£¨Ã¿¸ö×Ó¼¯Ö»°üº¬µ¥¸ö³ÉÔ±£©¹¹³ÉµÄ¼¯ºÏS¡£ + * + * + *¡¾±¸×¢¡¿ + * + * ÕâÀï¶ÔµÚ6ÕµÄMFSet×öÁ˸Ķ¯£º + * 1.Ö±½ÓÔÚ²ÎÊýÖд«Èë×Ó¼¯ÊýÁ¿ + * 2.×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý£¬Õâ»áÓ°Ïìµ½ºóÃæµÄº¯ÊýÖйØÓÚϱêµÄÅÐ¶Ï + */ +Status initial_mfset(MFSet* S, int n); + +/* + * ÇóÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯SiºÍ×Ó¼¯SjµÄ²¢¼¯¡£ + */ +Status merge_mfset(MFSet* S, int i, int j); + +/* + * ÔÚ¼¯ºÏSÖвéÕÒÔªËØiµ±Ç°ËùÊôµÄ×Ó¼¯¡£ + */ +int find_mfset(MFSet S, int i); + +/* + * ¸ù¾ÝµÈ¼Û¹ØϵRÀ´ÕûÀí/½¨Á¢¼¯ºÏSÖеÄÔªËØ(×Ó¼¯)¡£ + */ +Status build_mfset(MFSet* S, Relation R); + +#endif diff --git a/VisualC++/ExerciseBook/07.32/MinimumSpanningTree.c b/VisualC++/ExerciseBook/07.32/MinimumSpanningTree.c new file mode 100644 index 0000000..ff02e10 --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/MinimumSpanningTree.c @@ -0,0 +1,118 @@ +/*=================== + * ÎÞÏòÍøµÄ×îСÉú³ÉÉ­ÁÖ + ===================*/ + +#include "MinimumSpanningTree.h" + +/* + * ÆÕÀïÄ·Ëã·¨ÖÐÓõ½µÄ¸¨ÖúÊý×飬 + * ÓÃÀ´¼Ç¼´Ó¶¥µã×Ó¼¯Uµ½¶¥µã×Ó¼¯V-UµÄ´ú¼Û×îСµÄ±ß + */ +static struct { + VertexType adjvex; // ¶¥µã×Ó¼¯UÖеĶ¥µã + int lowcost; // ¶¥µã×Ó¼¯V-Uµ½µ±Ç°¶¥µãadjvexµÄ±ßµÄȨֵ +} closedge[MAX_VERTEX_NUM]; // ¸¨ÖúÊý×é + + +/* + * ʹÓÃÆÕÀïÄ·Ëã·¨¹¹ÔìÎÞÏòÍøGµÄ×îСÉú³ÉÉ­ÁÖ + */ +CSTree MinSpanTree_PRIM(ALGraph G) { + int i, j, k; + ArcNode* p; + CSTree r; + CSTree T = NULL; + CSTree curRoot = NULL; // ×·×ÙÉ­ÁÖÖÐ×ÓÊ÷µÄ¸ù½áµã + CSTree parent[MAX_VERTEX_NUM] = {NULL}; // ×·×Ù¸÷¶¥µãÔÚÉ­ÁÖÖеÄλÖÃ(ÓÃÖ¸ÕëÖ¸Ïò¸Ã¶¥µã) + + // ¸¨ÖúÊý×é³õʼ»¯£º³õʼ»¯ËùÓÐȨֵΪ0 + for(j=0; jfirstchild = r->nextsibling = NULL; + + // ³öÏÖÁËеÄ×ÓÊ÷ + if(k==-1) { + printf("----------\n"); + + // È·¶¨É­ÁÖÖÐ×ÓÊ÷µÄ¸ù + for(k=0; kdata = G.vertices[k].data; + parent[k] = r; + + if(curRoot==NULL) { + T = curRoot = r; + } else { + // Á´½Óµ½É­ÁÖÖÐÏÂÒ»¿ÃÊ÷ + curRoot->nextsibling = r; + curRoot = r; + } + + break; + } + } + } else { + r->data = G.vertices[k].data; + + // »ñÈ¡¸¸½áµãÔÚͼÖеÄÐòºÅ + j = LocateVex(G, closedge[k].adjvex); + if(parent[j]->firstchild==NULL) { + parent[j]->firstchild = r; + } else { + // Ö±½Ó²ÉÓÃÍ·²å·¨¼´¿É + r->nextsibling = parent[j]->firstchild->nextsibling; + parent[j]->firstchild->nextsibling = r; + } + + parent[k] = r; + + // ´òÓ¡¶¥µãºÍ±ßµÄÐÅÏ¢ + printf("%c --%2d-- %c\n", closedge[k].adjvex, closedge[k].lowcost, G.vertices[k].data); + } + + // ½«¶¥µãk¼ÓÈëµ½¶¥µã×Ó¼¯U + closedge[k].lowcost = 0; + + // ж¥µã½øÈ붥µã×Ó¼¯Uºó£¬ÐèÒª¸üж¥µã×Ó¼¯UÓ붥µã×Ó¼¯V-UµÄ±ßµÄÐÅÏ¢ + for(p=G.vertices[k].firstarc; p!=NULL; p = p->nextarc) { + j = p->adjvex; + + if(p->info->weightinfo->weight; + } + } + } + + return T; +} + +/* + * ´Ó¶¥µã×Ó¼¯V-UÖÐÑ¡³öÏÂÒ»¸öºòÑ¡¶¥µãÒÔ±ãºóÐø¼ÓÈëµ½×îСÉú³ÉÊ÷ + * + * Ñ¡Ôñ¶¥µã×Ó¼¯Uµ½¶¥µã×Ó¼¯V-UµÄȨֵ×îСµÄ±ß£¬ + * ²¢·µ»Ø¸Ã±ßÔÚ¶¥µã×Ó¼¯V-UÖÐÄÇÍ·µÄ¶Ëµã£¬ + * ¸Ã¶ËµãºóÐø»á¼ÓÈëµ½¶¥µã×Ó¼¯UÖУ¬³ÉΪ×îСÉú³ÉÊ÷µÄнáµã¡£ + */ +static int minimum(ALGraph G) { + int i, k = -1; + int min = INT_MAX; + + // ´ÓȨֵ²»Îª0µÄ±ßÖÐÑ¡ÔñÓµÓÐ×îСȨֵµÄ±ß + for(i = 0; i < G.vexnum; i++) { + if(closedge[i].lowcost != 0 && closedge[i].lowcost < min) { + min = closedge[i].lowcost; + k = i; + } + } + + return k; +} diff --git a/VisualC++/ExerciseBook/07.32/MinimumSpanningTree.h b/VisualC++/ExerciseBook/07.32/MinimumSpanningTree.h new file mode 100644 index 0000000..8cf83b5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/MinimumSpanningTree.h @@ -0,0 +1,30 @@ +/*=================== + * ÎÞÏòÍøµÄ×îСÉú³ÉÉ­ÁÖ + ===================*/ + +#ifndef MINIMUMSPANNINGTREE_H +#define MINIMUMSPANNINGTREE_H + +#include +#include /* ÌṩINT_MAXºê */ +#include "MFSet.h" //**¡ø06 Ê÷ºÍ¶þ²æÊ÷**// +#include "ALGraph.h" //**¡ø07 ͼ**// +#include "CSTree.h" //**¡ø06 Ê÷ºÍ¶þ²æÊ÷**// + +/* + * ʹÓÃÆÕÀïÄ·Ëã·¨¹¹ÔìÎÞÏòÍøGµÄ×îСÉú³ÉÉ­ÁÖ + */ +CSTree MinSpanTree_PRIM(ALGraph G); + +/* + * ´Ó¶¥µã×Ó¼¯V-UÖÐÑ¡³öÏÂÒ»¸öºòÑ¡¶¥µãÒÔ±ãºóÐø¼ÓÈëµ½×îСÉú³ÉÊ÷ + * + * Ñ¡Ôñ¶¥µã×Ó¼¯Uµ½¶¥µã×Ó¼¯V-UµÄȨֵ×îСµÄ±ß£¬ + * ²¢·µ»Ø¸Ã±ßÔÚ¶¥µã×Ó¼¯V-UÖÐÄÇÍ·µÄ¶Ëµã£¬ + * ¸Ã¶ËµãºóÐø»á¼ÓÈëµ½¶¥µã×Ó¼¯UÖУ¬³ÉΪ×îСÉú³ÉÊ÷µÄнáµã¡£ + * + * ×¢£ºÐβÎÓë½Ì²ÄÖиø³öµÄÄ£°åÓÐËù²»Í¬ + */ +static int minimum(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.32/TestData_UDN.txt b/VisualC++/ExerciseBook/07.32/TestData_UDN.txt new file mode 100644 index 0000000..27a36b9 --- /dev/null +++ b/VisualC++/ExerciseBook/07.32/TestData_UDN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú3£¨ÎÞÏòÍø£© +¶¥µãÊý¡ú13 +±ßÊý¡ú13 +±ßÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬M£¬N¡¿ 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{82288C1F-279B-4FE6-AC8A-18B4FDAB7BE1} + My0733 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.33/07.33.vcxproj.filters b/VisualC++/ExerciseBook/07.33/07.33.vcxproj.filters new file mode 100644 index 0000000..e83b99e --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/07.33.vcxproj.filters @@ -0,0 +1,59 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + 头文件 + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.33/07.33.vcxproj.user b/VisualC++/ExerciseBook/07.33/07.33.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/07.33.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.33/CSTree.c b/VisualC++/ExerciseBook/07.33/CSTree.c new file mode 100644 index 0000000..3a1f268 --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/CSTree.c @@ -0,0 +1,76 @@ +/*=================================== + * Ê÷µÄ¶þ²æÁ´±í£¨º¢×Ó-Ðֵܣ©½á¹¹´æ´¢±íʾ + ====================================*/ + +#include "CSTree.h" + +int count = 0; + +/* + * ³õʼ»¯ + * + * ¹¹Ôì¿ÕÊ÷¡£ + */ +Status InitTree(CSTree* T) { + if(T == NULL) { + return ERROR; + } + + *T = NULL; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏÊ÷ÊÇ·ñΪ¿ÕÊ÷¡£ + */ +Status TreeEmpty(CSTree T) { + return T == NULL ? TRUE : FALSE; +} + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ +void PrintTree(CSTree T) { + + // Óöµ½¿ÕÊ÷ÔòÎÞÐè¼ÌÐø¼ÆËã + if(TreeEmpty(T)) { + printf("\n"); + return; + } + + Print(T, 0); + + printf("\n"); +} + +// ͼÐλ¯Êä³öµ±Ç°½á¹¹ÄÚ²¿ÊµÏÖ +static void Print(CSTree T, int row) { + int k; + + if(T == NULL) { + return; + } + + if(row==0) { + printf("\nµÚ %d ¿ÃÊ÷...\n", ++count); + } + + // ·ÃÎʵ±Ç°½áµã + printf("%c ", T->data); + + Print(T->firstchild, row + 1); + + if(T->nextsibling != NULL) { + printf("\n"); + + for(k = 0; k < row; k++) { + printf(". "); + } + + Print(T->nextsibling, row); + } +} diff --git a/VisualC++/ExerciseBook/07.33/CSTree.h b/VisualC++/ExerciseBook/07.33/CSTree.h new file mode 100644 index 0000000..6f30d18 --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/CSTree.h @@ -0,0 +1,53 @@ +/*=================================== + * Ê÷µÄ¶þ²æÁ´±í£¨º¢×Ó-Ðֵܣ©½á¹¹´æ´¢±íʾ + ====================================*/ + +#ifndef CSTREE_H +#define CSTREE_H + +#include +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* µ¥¸ö½áµã×î´óµÄº¢×ÓÊýÁ¿ */ +#define MAX_CHILD_COUNT 8 + +/* Ê÷µÄÔªËØÀàÐͶ¨Ò壬ÕâÀï¼ÙÉèÆäÔªËØÀàÐÍΪchar */ +typedef char TElemType; + +/* (º¢×Ó-ÐÖµÜ)Ê÷µÄ½áµã¶¨Òå */ +typedef struct CSNode { + TElemType data; + struct CSNode* firstchild; // Ö¸Ïò³¤×Ó + struct CSNode* nextsibling; // Ö¸ÏòÓÒÐÖµÜ +} CSNode; + +/* (º¢×Ó-ÐÖµÜ)Ê÷ÀàÐͶ¨Òå */ +typedef CSNode* CSTree; + + +/* + * ³õʼ»¯ + * + * ¹¹Ôì¿ÕÊ÷¡£ + */ +Status InitTree(CSTree* T); + +/* + * ÅÐ¿Õ + * + * ÅжÏÊ÷ÊÇ·ñΪ¿ÕÊ÷¡£ + */ +Status TreeEmpty(CSTree T); + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ +void PrintTree(CSTree T); + +// ͼÐλ¯Êä³öµ±Ç°½á¹¹ÄÚ²¿ÊµÏÖ +static void Print(CSTree T, int row); + +#endif diff --git a/VisualC++/ExerciseBook/07.33/Graph.c b/VisualC++/ExerciseBook/07.33/Graph.c new file mode 100644 index 0000000..131d209 --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/Graph.c @@ -0,0 +1,244 @@ +/*================================= + * ÓÉÌâ7.33µÄÃèÊö´´½¨µÄÒ»ÖÖÎÞÏòÍø½á¹¹ + ==================================*/ + +#include "Graph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + + +/* + * ´´½¨ÎÞÏòÍø + * + * pathΪNULL»òΪ""ʱ£¬´Ó¿ØÖÆ̨¶ÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + * ·ñÔò£¬´ÓÔ¤ÉèµÄÎļþÖжÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + */ +Status CreateGraph(Graph* G, char* path) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = path == NULL || strcmp(path, "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(!readFromConsole) { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path, "r"); + if(fp == NULL) { + return ERROR; + } + } + + Create(G); + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return OK; +} + +/* + * ´´½¨ÎÞÏòÍøµÄºËÐÄËã·¨ + */ +static void Create(Graph* G) { + int u, v, k; + VertexType v1, v2; + int weight; + + // ´Ó¿ØÖÆ̨¶ÁÈ¡ + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &((*G).vexnum)); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &((*G).arcnum)); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", (*G).vexnum); + for(k = 0; k < (*G).vexnum; k++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vexs[k])); + } + + // ´ÓÎļþ¶ÁÈ¡ + } else { + ReadData(fp, "%d", &((*G).vexnum)); // ¼È붥µãÊý + ReadData(fp, "%d", &((*G).arcnum)); // ¼Èë±ßÊý + + // ¼È붥µã¼¯ + for(k = 0; k < (*G).vexnum; k++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vexs[k])); + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && (*G).arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÓëȨֵ֮¼äÓÿոñ¸ô¿ª£º\n", (*G).arcnum); + } + + // ¹¹Ôì±ß¼¯½á¹¹£¬0ºÅµ¥Ôª´æ´¢±ßµÄÊýÁ¿ + (*G).EdgeSet = (EdgeSetType*) malloc(((*G).arcnum + 1) * sizeof(EdgeSetType)); + if((*G).EdgeSet == NULL) { + exit(ERROR); + } + + // EdgeSetµÄ0ºÅµ¥Ôª´æ´¢ÁËÎÞÏòÍøÖбߵÄÊýÁ¿ + (*G).EdgeSet[0].weight = (*G).arcnum; + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < (*G).arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ßÓëȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%d", &weight); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c%d", &v1, &v2, &weight); + } + + u = LocateVex(*G, v1); // »ñÈ¡¶¥µãv1ÔÚ¶¥µã¼¯ÖеÄλÖà + v = LocateVex(*G, v2); // »ñÈ¡¶¥µãv2ÔÚ¶¥µã¼¯ÖеÄλÖà + + (*G).EdgeSet[k + 1].u = u; + (*G).EdgeSet[k + 1].v = v; + (*G).EdgeSet[k + 1].weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚÎÞÏòÍøÖеÄλÖà + */ +int LocateVex(Graph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vexs[i] == u) { + return i; + } + } + + return -1; +} + +/* + * ´Ó±ß¼¯EdgeSetÖлñÈ¡×îС±ßµÄ¶¥µãuºÍv£¬²¢·µ»ØTRUE¡£ + * Èô±ß¼¯Îª¿Õ£¬Ôò·µ»ØFASLE¡£ + */ +Boolean GetMinEdge(EdgeSetType* EdgeSet, int* u, int* v) { + int i, j, k; + int min = INT_MAX; // ¼Ç¼ȨֵµÄ×î´óÖµ + + // ±ß¼¯Îª¿Õ + if(EdgeSet[0].weight == 0) { + return FALSE; + } + + // ²éÕÒȨֵ×îСµÄ±ß + for(k = 1; k <= EdgeSet[0].weight; k++) { + if(EdgeSet[k].weight < min) { + min = EdgeSet[k].weight; + i = EdgeSet[k].u; + j = EdgeSet[k].v; + } + } + + // ¼Ç¼¶¥µãÐÅÏ¢ + *u = i; + *v = j; + + return TRUE; +} + +/* + * ´Ó±ß¼¯ÖÐɾ³ýÒÀ¸½ÓÚ¶¥µãuºÍvµÄ×îС±ß¡£ + * ɾ³ý³É¹¦·µ»ØTRUE£¬·ñÔò£¬·µ»ØFALSE¡£ + */ +Boolean DelMinEdge(EdgeSetType* EdgeSet, int u, int v) { + int k; + Boolean found = FALSE; // ÊÇ·ñÕÒµ½Á豧 + + // ±ß¼¯Îª¿Õ + if(EdgeSet[0].weight == 0) { + return FALSE; + } + + // ÏȲéÕÒ¸ÃÌõ±ßÔڱ߼¯ÖеÄλÖà + for(k = 1; k <= EdgeSet[0].weight; k++) { + if((EdgeSet[k].u == u && EdgeSet[k].v == v) || (EdgeSet[k].u == v && EdgeSet[k].v == u)) { + found = TRUE; + break; + } + } + + if(found == FALSE) { + return FALSE; + } + + // ÕâÀï²ÉÓõÄɾ³ý·½Ê½ÊÇÖ±½ÓÓÃ×îºóÒ»Ìõ±ßµÄÐÅÏ¢¸²¸Ç´ýɾ³ý±ßµÄÐÅÏ¢ + EdgeSet[k] = EdgeSet[EdgeSet[0].weight]; + EdgeSet[0].weight--; + + return TRUE; +} + +/* + * ´òÓ¡ÎÞÏòÍø½á¹¹ + */ +void PrintGraph(Graph G) { + int i, j, k, w; + int adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + // ³õʼ»¯±ßµÄÐÅÏ¢ + for(i = 0; i < G.vexnum; i++) { + for(j = 0; j < G.vexnum; j++) { + adjs[i][j] = INFINITE; + } + } + + // ¹¹Ôì±ß¼¯¾ØÕó + for(k = 1; k <= G.EdgeSet[0].weight; k++) { + i = G.EdgeSet[k].u; + j = G.EdgeSet[k].v; + w = G.EdgeSet[k].weight; + + adjs[i][j] = adjs[j][i] = w; + } + + printf("µ±Ç°ÎÞÏòÍø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß...\n", G.vexnum, G.arcnum); + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vexs[i]); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vexs[i]); + + for(j = 0; j < G.vexnum; j++) { + if(adjs[i][j] == INFINITE) { + printf(" -"); + } else { + printf("%3d", adjs[i][j]); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.33/Graph.h b/VisualC++/ExerciseBook/07.33/Graph.h new file mode 100644 index 0000000..859b43c --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/Graph.h @@ -0,0 +1,71 @@ +/*================================= + * ÓÉÌâ7.33µÄÃèÊö´´½¨µÄÒ»ÖÖÎÞÏòÍø½á¹¹ + ==================================*/ + +#ifndef GRAPH_H +#define GRAPH_H + +#include +#include // ÌṩºêINT_MAX +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +#define INFINITE INT_MAX // ×î´óÖµ£¬ÓÃÀ´±íʾÍøÖеÄÁ½¸ö¶¥µã²»Ö±½ÓÁ¬½Ó +#define MAX_VERTEX_NUM 26 // ¶¥µã¸öÊý×î´óÖµ + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß¼¯ÀàÐÍ +typedef struct { + int u, v; // ¶¥µã + int weight; // Ȩֵ +} EdgeSetType; + +// ÓÐÏòͼÀàÐͶ¨Òå +typedef struct Graph { + VertexType vexs[MAX_VERTEX_NUM]; // ¶¥µãÏòÁ¿ + EdgeSetType* EdgeSet; // ±ß¼¯ + int vexnum, arcnum; // ÓÐÏòͼµÄ¶¥µãÊýºÍ»¡Êý +} Graph; + + +/* + * ´´½¨ÓÐÏòͼ + * + * pathΪNULL»òΪ""ʱ£¬´Ó¿ØÖÆ̨¶ÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + * ·ñÔò£¬´ÓÔ¤ÉèµÄÎļþÖжÁȡͼµÄ³õʼ»¯ÐÅÏ¢¡£ + */ +Status CreateGraph(Graph* G, char* path); + +/* + * ´´½¨ÓÐÏòͼµÄºËÐÄËã·¨ + */ +static void Create(Graph* G); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚÓÐÏòͼÖеÄλÖà + */ +int LocateVex(Graph G, VertexType u); + +/* + * ´Ó±ß¼¯EdgeSetÖлñÈ¡×îС±ßµÄ¶¥µãuºÍv£¬²¢·µ»ØTRUE¡£ + * Èô±ß¼¯Îª¿Õ£¬Ôò·µ»ØFASLE¡£ + */ +Boolean GetMinEdge(EdgeSetType* EdgeSet, int* u, int* v); + +/* + * ´Ó±ß¼¯ÖÐɾ³ýÒÀ¸½ÓÚ¶¥µãuºÍvµÄ×îС±ß¡£ + * ɾ³ý³É¹¦·µ»ØTRUE£¬·ñÔò£¬·µ»ØFALSE¡£ + */ +Boolean DelMinEdge(EdgeSetType* EdgeSet, int u, int v); + +/* + * ´òÓ¡ÓÐÏòͼ½á¹¹ + */ +void PrintGraph(Graph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.33/MFSet.c b/VisualC++/ExerciseBook/07.33/MFSet.c new file mode 100644 index 0000000..8b9d29d --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/MFSet.c @@ -0,0 +1,93 @@ +/*===== + * ¼¯ºÏ + ======*/ + +#include "MFSet.h" + +/* + * ³õʼ»¯Ò»¸öÓɶà¸ö×Ó¼¯£¨Ã¿¸ö×Ó¼¯Ö»°üº¬µ¥¸ö³ÉÔ±£©¹¹³ÉµÄ¼¯ºÏS¡£ + * + * + *¡¾±¸×¢¡¿ + * + * ÕâÀï¶ÔµÚ6ÕµÄMFSet×öÁ˸Ķ¯£º + * 1.Ö±½ÓÔÚ²ÎÊýÖд«Èë×Ó¼¯ÊýÁ¿ + * 2.×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý£¬Õâ»áÓ°Ïìµ½ºóÃæµÄº¯ÊýÖйØÓÚϱêµÄÅÐ¶Ï + */ +Status initial_mfset(MFSet* S, int n) { + int i; + + if(n <= 0) { + return ERROR; + } + + S->n = n; + S->r = 0; // µÚÒ»¸ö×Ó¼¯µÄλÖÃÔÚ0ºÅµ¥Ôª + + // ×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý + for(i = 0; i < n; i++) { + S->nodes[i].parent = -1; + } + + return OK; +} + +/* + * ÇóÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯SiºÍ×Ó¼¯SjµÄ²¢¼¯¡£ + */ +Status merge_mfset(MFSet* S, int i, int j) { + + // Ë÷ÒýÔ½½ç + if(i < 0 || i > S->n - 1 || j < 0 || j > S->n - 1) { + return ERROR; + } + + // ÏàͬµÄ×Ó¼¯ÎÞÐèºÏ²¢£¬Ö±½Ó·µ»Ø + if(i == j) { + return OK; + } + + S->nodes[i].parent = j; + + return OK; +} + +/* + * ÔÚ¼¯ºÏSÖвéÕÒÔªËØiµ±Ç°ËùÊôµÄ×Ó¼¯¡£ + */ +int find_mfset(MFSet S, int i) { + int j; + + // Ë÷ÒýÔ½½ç + if(i < 0 || i > S.n - 1) { + return -1; + } + + // ²éÕÒiËùÊôµÄ×Ó¼¯µÄ¸ù½áµã + for(j = i; S.nodes[j].parent >= 0; j = S.nodes[j].parent) { + // ´ÓÏÂÍùÉϲéÕÒ + } + + return j; +} + +/* + * ¸ù¾ÝµÈ¼Û¹ØϵRÀ´ÕûÀí/½¨Á¢¼¯ºÏSÖеÄÔªËØ(×Ó¼¯)¡£ + */ +Status build_mfset(MFSet* S, Relation R) { + int k; + int i, j; + + for(k = 0; k < R.n; k++) { + // ÏÈ»ñÈ¡×Ó¼¯¸ù½áµã + i = find_mfset(*S, R.pairs[k].i); + j = find_mfset(*S, R.pairs[k].j); + + // ¶ÔÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯½øÐй鲢 + if(!merge_mfset(S, i, j)) { + return ERROR; + } + } + + return OK; +} diff --git a/VisualC++/ExerciseBook/07.33/MFSet.h b/VisualC++/ExerciseBook/07.33/MFSet.h new file mode 100644 index 0000000..2a061a5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/MFSet.h @@ -0,0 +1,92 @@ +/*===== + * ¼¯ºÏ + ======*/ + +#ifndef MFSET_H +#define MFSET_H + +#include +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include // +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* Ê÷µÄ×î´ó½áµãÊý£¬ÕâÀïָʾ×Ó¼¯×î´óÊýÁ¿ */ +#define MAX_TREE_SIZE 1024 + +/* ¶þÔª¹Øϵ¶ÔÊýÁ¿ */ +#define MAX_PAIR_SIZE 100 + +/* + * (Ë«Ç×)Ê÷µÄ½áµã¶¨Òå + * + *¡¾×¢¡¿ + * 1.ÒÀÕս̲ĵÄͼʾ£¬Ë«Ç×Ê÷ÔÚ¼¯ºÏµÄÓ¦ÓÃÖУ¬ÆäÄ£ÐÍÒѱ»¼ò»¯£º¼´Ë«Ç×½áµã²»ÔÙ±£ÁôÊý¾ÝÓò¡£ + * 2.½áµãµÄË÷ÒýÓÃÀ´±íʾËüÊÇÄÄÒ»¸ö×Ó¼¯£¬Ëü»á×÷Ϊ¸ü´ó×Ó¼¯µÄÒ»¸öÔªËØ´æÔÚ¡£ + * 3.È·¶¨Ä³¸ö×Ó¼¯ÊôÓÚSÖÐÄĸö¸ü´óµÄ×Ó¼¯Ê±£¬ÐèÒªÏòÉÏ×·Ëݵ½¸ü´ó×Ó¼¯µÄ¸ù¡£ + * 4.ʵ¼ÊʹÓÃÖУ¬Ã¿¸ö×Ó¼¯»á°üº¬ºÜ¶àÊý¾ÝÔªËØ£¬´Ëʱ¿ÉÒÔ½«Ã¿¸öÊý¾ÝÔªËØÓëÆäËùÊôµÄ×Ó¼¯½¨Á¢¹ØÁª¹Øϵ + * ¼´°Ñÿ¸öÊý¾ÝÔªËØÓ뼯ºÏSÖи÷½áµãµÄË÷Òý¹ØÁªÆðÀ´ + */ +typedef struct PTNode { + int parent; // Ë«Ç×λÖÃÓò£¬ÓÃÀ´Ö¸Ê¾¸Ã½áµãËùÊôµÄ×Ó¼¯ +} PTNode; + +/* + * (Ë«Ç×)Ê÷ÀàÐͶ¨Òå + * + *¡¾×¢¡¿ + * 1.Ê÷ÖнáµãÔÚnodesÖÐ"½ôÁÚ"´æ´¢£¬Ã»ÓпÕ϶ + * 2.µ±×Ó¼¯´æÔÚʱ£¬Ê÷¸ùrÉèÖÃΪ1£¬·ñÔò£¬Ê÷¸ùrÉèÖÃΪ0 + * 3.³ý¸ù½áµãÍ⣬ÆäËû½áµãÒÀ´Î°´²ãÐò˳ןù½áµãÍùÏÂÅÅÁÐ + * 5.ÕâÀï¼ÙÉènodes¿Õ¼äÊÇ×ã¹»´óµÄ£¬¿ÉÒÔÊÓÐèÇó½«Æä¸ÄΪ¶¯Ì¬·ÖÅä´æ´¢ + */ +typedef struct { + PTNode nodes[MAX_TREE_SIZE]; // ´æ´¢Ê÷Öнáµã + int r; // Ê÷¸ùλÖÃ(Ë÷Òý)£¬ÕâÀïÓÃÀ´Ö¸Ê¾µÚÒ»¸ö×Ó¼¯µÄλÖà + int n; // Ê÷µÄ½áµãÊý£¬ÕâÀïÓÃÀ´Ö¸Ê¾ËùÓÐ +} PTree; + +/* ¼¯ºÏÀàÐͶ¨Òå */ +typedef PTree MFSet; + +/* µ¥¸ö¶þÔª¹Øϵ¶Ô */ +typedef struct { + int i; + int j; +} Pair; + +/* ¼¯ºÏÄڵĵȼ۹Øϵ */ +typedef struct { + Pair pairs[MAX_PAIR_SIZE]; // ×ã¹»´óµÄ¿Õ¼ä´æ´¢¶þÔª¹Øϵ + int n; // ÒÑÖªµÄµÈ¼Û¹ØϵÊýÁ¿ +} Relation; + + +/* + * ³õʼ»¯Ò»¸öÓɶà¸ö×Ó¼¯£¨Ã¿¸ö×Ó¼¯Ö»°üº¬µ¥¸ö³ÉÔ±£©¹¹³ÉµÄ¼¯ºÏS¡£ + * + * + *¡¾±¸×¢¡¿ + * + * ÕâÀï¶ÔµÚ6ÕµÄMFSet×öÁ˸Ķ¯£º + * 1.Ö±½ÓÔÚ²ÎÊýÖд«Èë×Ó¼¯ÊýÁ¿ + * 2.×Ó¼¯±àºÅ´Ó0¿ªÊ¼¼ÆÊý£¬Õâ»áÓ°Ïìµ½ºóÃæµÄº¯ÊýÖйØÓÚϱêµÄÅÐ¶Ï + */ +Status initial_mfset(MFSet* S, int n); + +/* + * ÇóÁ½¸ö»¥²»ÏཻµÄ×Ó¼¯SiºÍ×Ó¼¯SjµÄ²¢¼¯¡£ + */ +Status merge_mfset(MFSet* S, int i, int j); + +/* + * ÔÚ¼¯ºÏSÖвéÕÒÔªËØiµ±Ç°ËùÊôµÄ×Ó¼¯¡£ + */ +int find_mfset(MFSet S, int i); + +/* + * ¸ù¾ÝµÈ¼Û¹ØϵRÀ´ÕûÀí/½¨Á¢¼¯ºÏSÖеÄÔªËØ(×Ó¼¯)¡£ + */ +Status build_mfset(MFSet* S, Relation R); + +#endif diff --git a/VisualC++/ExerciseBook/07.33/MinimumSpanningTree.c b/VisualC++/ExerciseBook/07.33/MinimumSpanningTree.c new file mode 100644 index 0000000..6bdae68 --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/MinimumSpanningTree.c @@ -0,0 +1,142 @@ +/*================== + * ÎÞÏòÍøµÄ×îСÉú³ÉÊ÷ + * + * °üº¬Ëã·¨: 7.9 + ==================*/ + +#include "MinimumSpanningTree.h" + +/* + * ʹÓÿ˳˹¿¨¶ûËã·¨ÇóÈ¡×îСÉú³ÉÊ÷ + */ +CSTree MinSpanTree_KRUSKAL(Graph G) { + int k; + int v1, v2; + int s1, s2; + + CSTree T = NULL; + CSTree parent[MAX_VERTEX_NUM] = {NULL}; // ×·×Ù¸÷¶¥µãÔÚÊ÷ÖеÄλÖÃ(ÓÃÖ¸ÕëÖ¸Ïò¸Ã¶¥µã) + SqQueue queue; + int root; + + // ¼Ç¼ÒѾ­¼ÓÈëµ½×îСÉú³ÉÊ÷µÄ¶¥µã¼¯£¬ÕâÀïʹÓü¯ºÏµÄÄ¿µÄÊÇ¿ìËÙÅжϺòÑ¡¶¥µãÊÇ·ñ»áÔì³É»·Â· + MFSet S; + Relation relation; + + // ´æ´¢ÓÐÏòÍø±ß¼¯µÄÒ»¸ö¸±±¾ + EdgeSetType* EdgeSet; + + // ´æ´¢×îСÉú³ÉÊ÷Öаüº¬µÄ±ß¼¯ + EdgeSetType* tree; + EdgeSetType edge; + + // ¸´ÖÆÓÐÏòÍøµÄ±ß¼¯ + EdgeSet = (EdgeSetType*) malloc((G.EdgeSet[0].weight * sizeof(EdgeSetType))); + for(k = 0; k <= G.EdgeSet[0].weight; k++) { + EdgeSet[k] = G.EdgeSet[k]; // ½á¹¹Ìå¿ÉÒÔÖ±½Ó¸´ÖÆ + } + + // ×îСÉú³ÉÊ÷Öаüº¬µÄ±ßµÄÊýÁ¿Îª¶¥µãÊý-1£¬µ«ÕâÀï¶à·ÖÅäÁËÒ»¸öµ¥Ôª£¬ÒòΪ0ºÅµ¥ÔªÒª´æ´¢±ßµÄÊýÁ¿ + tree = (EdgeSetType*) malloc(G.vexnum * sizeof(EdgeSetType)); + tree[0].weight = 0; + + // ³õʼ»¯¶¥µã¼¯ºÏ + initial_mfset(&S, G.vexnum); + + // ´Ó±ß¼¯ÖÐÒÀ´ÎÑ¡ÔñȨֵ×îС£¬ÇÒ²»¹¹³É»·Â·µÄ±ß¼ÓÈëµ½×îСÉú³ÉÊ÷ + for(k = 0; k < G.arcnum; k++) { + // Ñ¡³öÒ»ÌõȨֵ×îСµÄ±ß + GetMinEdge(EdgeSet, &v1, &v2); + // Ñ¡ÍêÖ®ºó¾Í¿ÉÒԴӱ߼¯µÄ¸±±¾ÖÐɾµôÕâÌõ±ßÁË£¬ÒòΪºóÐø²»ÔÙÐèÒªËü + DelMinEdge(EdgeSet, v1, v2); + + s1 = find_mfset(S, v1); + s2 = find_mfset(S, v2); + + // Èç¹ûÕâÁ½¸ö¶ËµãλÓÚͬһ¸ö¼¯ºÏ£¬ÔòÌø¹ý¸ÃÌõ±ß + if(s1 == s2) { + continue; + } + + // ¹¹Ôì¶þÔª¹Øϵ + relation.n = 1; + relation.pairs[0].i = v1; + relation.pairs[0].j = v2; + + build_mfset(&S, relation); + + // ´òÓ¡¶¥µãºÍ±ßµÄÐÅÏ¢ + printf("%c %c\n", G.vexs[v1], G.vexs[v2]); + + // ´´½¨Ê÷½áµãv1 + if(parent[v1] == NULL) { + parent[v1] = (CSTree) malloc(sizeof(CSNode)); + parent[v1]->data = G.vexs[v1]; + parent[v1]->firstchild = parent[v1]->nextsibling = NULL; + } + + // ´´½¨Ê÷½áµãv2 + if(parent[v2] == NULL) { + parent[v2] = (CSTree) malloc(sizeof(CSNode)); + parent[v2]->data = G.vexs[v2]; + parent[v2]->firstchild = parent[v2]->nextsibling = NULL; + } + + // Ïò¼¯ºÏÖд洢¹¹³É×îСÉú³ÉÊ÷µÄ±ß + tree[0].weight++; + tree[tree[0].weight].u = v1; + tree[tree[0].weight].v = v2; + } + + + /* ½ÓÏÂÀ´Ê¹ÓÃÒÑÖªµÄ±ßÀ´¹¹ÔìÊ÷µÄº¢×Ó-ÐÖµÜÁ´±í´æ´¢½á¹¹ */ + + if(tree[0].weight<=0) { + return NULL; + } + + InitQueue(&queue); + + // È·¶¨Õû¿ÃÊ÷µÄ¸ù½áµã + T = parent[tree[1].u]; + + // ×·×Ùÿ¿Ã×ÓÊ÷µÄ¸ù½áµã + root = tree[1].u; + + while(tree[0].weight > 0) { + // ²éÕÒ°üº¬¶ËµãrootµÄ±ß + for(k = 1; k <= tree[0].weight; k++) { + if(tree[k].u == root || tree[k].v == root) { + break; + } + } + + // ÕÒµ½ÁËÕâÑùµÄ±ß + if(k <= tree[0].weight) { + edge = tree[k]; + + // ÒƳýÕâÌõ±ß£¬´Ë´¦Ö»ÊÇÓÃ×îºóÒ»Ìõ±ßµÄÐÅÏ¢¼òµ¥µØ¸²¸ÇÕâÌõ±ßµÄÐÅÏ¢ + tree[k] = tree[tree[0].weight]; + tree[0].weight--; + + if(edge.u == root) { + // °Ñ½áµãvÌí¼ÓΪ½áµãuµÄÒ»¸öº¢×Ó½áµã£¬ÕâÀï¼òµ¥µØʹÓÃÍ·²å·¨ + parent[edge.v]->nextsibling = parent[edge.u]->firstchild; + parent[edge.u]->firstchild = parent[edge.v]; + + EnQueue(&queue, edge.v); + } else { + // °Ñ½áµãuÌí¼ÓΪ½áµãvµÄÒ»¸öº¢×Ó½áµã£¬ÕâÀï¼òµ¥µØʹÓÃÍ·²å·¨ + parent[edge.u]->nextsibling = parent[edge.v]->firstchild; + parent[edge.v]->firstchild = parent[edge.u]; + + EnQueue(&queue, edge.u); + } + } else { + // »ñȡеÄ×ÓÊ÷µÄroot + DeQueue(&queue, &root); + } + } + + return T; +} diff --git a/VisualC++/ExerciseBook/07.33/MinimumSpanningTree.h b/VisualC++/ExerciseBook/07.33/MinimumSpanningTree.h new file mode 100644 index 0000000..09cb58c --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/MinimumSpanningTree.h @@ -0,0 +1,22 @@ +/*================== + * ÎÞÏòÍøµÄ×îСÉú³ÉÊ÷ + * + * °üº¬Ëã·¨: 7.9 + ==================*/ + +#ifndef MINIMUMSPANNINGTREE_H +#define MINIMUMSPANNINGTREE_H + +#include +#include // ÌṩINT_MAXºê +#include "SqQueue.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// +#include "MFSet.h" //**¡ø06 Ê÷ºÍ¶þ²æÊ÷**// +#include "CSTree.h" //**¡ø06 Ê÷ºÍ¶þ²æÊ÷**// +#include "Graph.h" + +/* + * ʹÓÿ˳˹¿¨¶ûËã·¨ÇóÈ¡×îСÉú³ÉÊ÷ + */ +CSTree MinSpanTree_KRUSKAL(Graph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.33/SqQueue.c b/VisualC++/ExerciseBook/07.33/SqQueue.c new file mode 100644 index 0000000..1d385f5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/SqQueue.c @@ -0,0 +1,147 @@ +/*============================= + * ¶ÓÁеÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò¶ÓÁУ© + ==============================*/ + +#include "SqQueue.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄ˳Ðò¶ÓÁС£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁÐÊÇÑ­»·¶ÓÁÐ + */ +Status InitQueue(SqQueue* Q) { + if(Q == NULL) { + return ERROR; + } + + (*Q).base = (QElemType*) malloc(MAXQSIZE * sizeof(QElemType)); + if(!(*Q).base) { + exit(OVERFLOW); + } + + (*Q).front = (*Q).rear = 0; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏÑ­»·Ë³Ðò¶ÓÁÐÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Ñ­»·Ë³Ðò¶ÓÁÐΪ¿Õ + * FALSE: Ñ­»·Ë³Ðò¶ÓÁв»Îª¿Õ + */ +Status QueueEmpty(SqQueue Q) { + // ¶ÓÁпյıêÖ¾ + if(Q.front == Q.rear) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * ¼ÆÊý + * + * ·µ»ØÑ­»·Ë³Ðò¶ÓÁаüº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int QueueLength(SqQueue Q) { + if(Q.base == NULL) { + return 0; + } + + // ¶ÓÁг¤¶È + return (Q.rear - Q.front + MAXQSIZE) % MAXQSIZE; +} + +/* + * È¡Öµ + * + * »ñÈ¡¶ÓÍ·ÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + */ +Status GetHead(SqQueue Q, QElemType* e) { + // ¶ÓÁпյıêÖ¾ + if(Q.base == NULL || Q.front == Q.rear) { + return ERROR; + } + + *e = Q.base[Q.front]; + + return OK; +} + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(SqQueue* Q, QElemType e) { + if(Q == NULL || (*Q).base == NULL) { + return ERROR; + } + + // ¶ÓÁÐÂúµÄ±êÖ¾£¨»áÀË·ÑÒ»¸ö¿Õ¼äÀ´Çø·Ö¶ÓÁпպͶÓÁÐÂú£© + if(((*Q).rear + 1) % MAXQSIZE == (*Q).front) { + return ERROR; + } + + // Èë¶Ó + (*Q).base[(*Q).rear] = e; + + // βָÕëÇ°½ø + (*Q).rear = ((*Q).rear + 1) % MAXQSIZE; + + return OK; +} + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(SqQueue* Q, QElemType* e) { + if(Q == NULL || (*Q).base == NULL) { + return ERROR; + } + + // ¶ÓÁпյıêÖ¾ + if((*Q).front == (*Q).rear) { + return ERROR; + } + + // ³ö¶Ó + *e = (*Q).base[(*Q).front]; + + // Í·Ö¸ÕëÇ°½ø + (*Q).front = ((*Q).front + 1) % MAXQSIZE; + + return OK; +} + +/* + * ±éÀú + * + * ÓÃvisitº¯Êý·ÃÎʶÓÁÐQ + */ +Status QueueTraverse(SqQueue Q, void(Visit)(QElemType)) { + int i; + + if(Q.base == NULL) { + return ERROR; + } + + for(i = Q.front; i != Q.rear; i = (i + 1) % MAXQSIZE) { + Visit(Q.base[i]); + } + + printf("\n"); + + return OK; +} diff --git a/VisualC++/ExerciseBook/07.33/SqQueue.h b/VisualC++/ExerciseBook/07.33/SqQueue.h new file mode 100644 index 0000000..f739aee --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/SqQueue.h @@ -0,0 +1,84 @@ +/*============================= + * ¶ÓÁеÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò¶ÓÁУ© + ==============================*/ + +#ifndef SQQUEUE_H +#define SQQUEUE_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define MAXQSIZE 1000 //×î´ó¶ÓÁг¤¶È + +/* Ñ­»·¶ÓÁÐÔªËØÀàÐͶ¨Òå */ +typedef int QElemType; + +// Ñ­»·¶ÓÁеÄ˳Ðò´æ´¢½á¹¹ +typedef struct { + QElemType* base; // ¶¯Ì¬·ÖÅä´æ´¢¿Õ¼ä + int front; // Í·Ö¸Õ룬Èô¶ÓÁв»¿Õ£¬Ö¸Ïò¶ÓÍ·ÔªËØ + int rear; // βָÕ룬Èô¶ÓÁв»¿Õ£¬Ö¸Ïò¶ÓÁÐβԪËصÄÏÂÒ»¸öλÖà +} SqQueue; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄ˳Ðò¶ÓÁС£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁÐÊÇÑ­»·¶ÓÁÐ + */ +Status InitQueue(SqQueue* Q); + +/* + * ÅÐ¿Õ + * + * ÅжÏÑ­»·Ë³Ðò¶ÓÁÐÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Ñ­»·Ë³Ðò¶ÓÁÐΪ¿Õ + * FALSE: Ñ­»·Ë³Ðò¶ÓÁв»Îª¿Õ + */ +Status QueueEmpty(SqQueue Q); + +/* + * ¼ÆÊý + * + * ·µ»ØÑ­»·Ë³Ðò¶ÓÁаüº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int QueueLength(SqQueue Q); + +/* + * È¡Öµ + * + * »ñÈ¡¶ÓÍ·ÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + */ +Status GetHead(SqQueue Q, QElemType* e); + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(SqQueue* Q, QElemType e); + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(SqQueue* Q, QElemType* e); + +/* + * ±éÀú + * + * ÓÃvisitº¯Êý·ÃÎʶÓÁÐQ + */ +Status QueueTraverse(SqQueue Q, void(Visit)(QElemType)); + +#endif diff --git a/VisualC++/ExerciseBook/07.33/TestData_UDN.txt b/VisualC++/ExerciseBook/07.33/TestData_UDN.txt new file mode 100644 index 0000000..2f18fe7 --- /dev/null +++ b/VisualC++/ExerciseBook/07.33/TestData_UDN.txt @@ -0,0 +1,4 @@ +¶¥µãÊý¡ú6 +±ßÊý¡ú10 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F¡¿ +±ßµÄ¼¯ºÏ¡ú¡¾A£¬B£¬6¡¿¡¾A£¬C£¬1¡¿¡¾A£¬D£¬5¡¿¡¾B£¬C£¬5¡¿¡¾B£¬E£¬3¡¿¡¾C£¬D£¬5¡¿¡¾C£¬E£¬6¡¿¡¾C£¬F£¬4¡¿¡¾D£¬F£¬2¡¿¡¾E£¬F£¬6¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.34/07.34.c b/VisualC++/ExerciseBook/07.34/07.34.c new file mode 100644 index 0000000..3047d0f --- /dev/null +++ b/VisualC++/ExerciseBook/07.34/07.34.c @@ -0,0 +1,131 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// +#include "TopologicalSorting.h" //**¡ø07 ͼ**// + +/* + * ¶ÔÓÐÏòÎÞ»·Í¼ÖеĶ¥µãÊʵ±µØ±àºÅ£¬Ê¹ÆäËùÓл¡vi->vjÂú×ãivjÂú×ãiadjvex]] = 1; + p = p->nextarc; + } + } + + + printf(" "); + for(i = 0; i < G.vexnum; i++) { + printf(" %c", G.vertices[topo[i]].data); + } + printf("\n"); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ", G.vertices[topo[i]].data); + + for(j = 0; j < G.vexnum; j++) { + if(adjs[i][j] == 0) { + printf(" -"); + } else { + printf("%3d", adjs[i][j]); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.34/07.34.png b/VisualC++/ExerciseBook/07.34/07.34.png new file mode 100644 index 0000000000000000000000000000000000000000..6bb19199dc12ec07185960e5914dd51744fe7485 GIT binary patch literal 16448 zcmYMbby$?$_dQH^3?VRd35Ya9cMk|iNlAlrtCTcDH%d65G=c~S2+}P*G$P$7A|(9nq0;mUewXc%N@Xy`V07@(!EfZ;Rv zh5l4eO%bhfgnk?Rf#sl}rGSQ3olJOXjSc?B_k^1~MMER$zWqV(^C-1LLzA0US5`3a zv)FBQ^PrfSI~~p3E)Ra$wtx0R4DbEjz%XmlXS5}=N~e@Kr}Ab3J**{%?tu}_w)d!L 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b/VisualC++/ExerciseBook/07.34/07.34.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.34/07.34.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.34/ALGraph.c b/VisualC++/ExerciseBook/07.34/ALGraph.c new file mode 100644 index 0000000..4f5206b --- /dev/null +++ b/VisualC++/ExerciseBook/07.34/ALGraph.c @@ -0,0 +1,325 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.34/ALGraph.h b/VisualC++/ExerciseBook/07.34/ALGraph.h new file mode 100644 index 0000000..e70b2c2 --- /dev/null +++ b/VisualC++/ExerciseBook/07.34/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.34/SqStack.c b/VisualC++/ExerciseBook/07.34/SqStack.c new file mode 100644 index 0000000..f056778 --- /dev/null +++ b/VisualC++/ExerciseBook/07.34/SqStack.c @@ -0,0 +1,90 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // Õ»Âúʱ£¬×·¼Ó´æ´¢¿Õ¼ä + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // ´æ´¢·ÖÅäʧ°Ü + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // ½øÕ»Ïȸ³Öµ£¬Õ»¶¥Ö¸ÕëÔÙ×ÔÔö + *(S->top++) = e; + + return OK; +} + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // ³öÕ»Õ»¶¥Ö¸ÕëÏȵݼõ£¬ÔÙ¸³Öµ + *e = *(--(*S).top); + + return OK; +} diff --git a/VisualC++/ExerciseBook/07.34/SqStack.h b/VisualC++/ExerciseBook/07.34/SqStack.h new file mode 100644 index 0000000..a8fe835 --- /dev/null +++ b/VisualC++/ExerciseBook/07.34/SqStack.h @@ -0,0 +1,59 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define STACK_INIT_SIZE 100 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define STACKINCREMENT 10 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳ÐòÕ»ÔªËØÀàÐͶ¨Òå */ +typedef int SElemType; + +// ˳ÐòÕ»ÔªËؽṹ +typedef struct { + SElemType* base; // Õ»µ×Ö¸Õë + SElemType* top; // Õ»¶¥Ö¸Õë + int stacksize; // µ±Ç°ÒÑ·ÖÅäµÄ´æ´¢¿Õ¼ä£¬ÒÔÔªËØΪµ¥Î» +} SqStack; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S); + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S); + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e); + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/VisualC++/ExerciseBook/07.34/TestData_DG.txt b/VisualC++/ExerciseBook/07.34/TestData_DG.txt new file mode 100644 index 0000000..a240ed8 --- /dev/null +++ b/VisualC++/ExerciseBook/07.34/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú16 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾F£¬J¡¿¡¾F£¬B¡¿¡¾F£¬C¡¿¡¾F£¬A¡¿¡¾B£¬C¡¿¡¾J£¬I¡¿¡¾C£¬I¡¿¡¾C£¬H¡¿¡¾I£¬H¡¿¡¾C£¬G¡¿¡¾D£¬A¡¿¡¾D£¬L¡¿¡¾L£¬A¡¿¡¾D£¬K¡¿¡¾K£¬E¡¿¡¾E£¬G¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.34/TopologicalSorting.c b/VisualC++/ExerciseBook/07.34/TopologicalSorting.c new file mode 100644 index 0000000..82001f5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.34/TopologicalSorting.c @@ -0,0 +1,96 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#include "TopologicalSorting.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + * + * ×¢£ºÓë½Ì²Ä²»Í¬Ö®´¦ÔÚÓÚ£¬´Ë´¦Ôö¼ÓÁËÒ»¸ötopoÊý×é×ö²ÎÊý¡£ + * ¡¡¡¡¶ÔÓÚÇó³öµÄÍØÆËÐòÁУ¬²»»áÖ±½ÓÊä³ö£¬¶øÊǻỺ´æµ½topoÖС£ + * ¡¡¡¡ÕâÑùµÄ×öµÄÄ¿µÄÊǺóÐøµÄÏ°ÌâÖлáÓжദÓõ½¸ÃÍØÆËÐòÁС£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, k, count; + int indegree[MAX_VERTEX_NUM]; + SqStack S; + ArcNode* p; + + // ¶Ô¸÷¶¥µãÇóÈë¶È + FindInDegree(G, indegree); + + // ³õʼ»¯ÁãÈë¶È¶¥µãÕ» + InitStack(&S); + + // ½¨Á¢Èë¶ÈΪ0µÄ¶¥µãÕ» + for(i = 0; i < G.vexnum; i++) { + // ½«Èë¶ÈΪ0µÄ¶¥µãÌí¼Óµ½Õ»ÖÐ + if(indegree[i] == 0) { + Push(&S, i); + } + } + + // ¶ÔÍØÆËÐòÁÐÖеĶ¥µã¼ÆÊý + count = 0; + + // ±éÀú¶¥µãÕ» + while(!StackEmpty(S)) { + // »ñÈ¡Ò»¸öÁãÈë¶È¶¥µã + Pop(&S, &i); + + // ½«¸÷¶¥µãµÄÐòºÅÔÝ´æÆðÀ´ + topo[count++] = i; + + // ±éÀúiºÅ¶¥µãµÄÁÚ½Óµã + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // »ñÈ¡¶¥µãÐòºÅ + k = p->adjvex; + + /* + * ½«iºÅ¶¥µãÿ¸öÁÚ½ÓµãµÄÈë¶È¼õÒ»£¬ÕâÏ൱ÓÚÇжÎiºÅ¶¥µãµ½ÆäËüÁÚ½ÓµãµÄÁªÏµ¡£ + * Èç¹û³öÏÖÁËеÄÈë¶ÈΪ0µÄ¶¥µã£¬¼ÌÐø½«ÆäÈëÕ»¡£ + */ + if((--indegree[k]) == 0) { + Push(&S, k); + } + } + } + + // Èç¹ûÓöµ½Á˻ط£¬Ôò·µ»ØERROR + if(count < G.vexnum) { + return ERROR; + } else { + return OK; + } +} + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]) { + int i; + ArcNode* p; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // ±éÀú¸Ã¶¥µãµÄËùÓÐÁڽӵ㣬ͳ¼Æ¸÷¶¥µãµÄÈë¶È + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } +} diff --git a/VisualC++/ExerciseBook/07.34/TopologicalSorting.h b/VisualC++/ExerciseBook/07.34/TopologicalSorting.h new file mode 100644 index 0000000..3fae677 --- /dev/null +++ b/VisualC++/ExerciseBook/07.34/TopologicalSorting.h @@ -0,0 +1,28 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#ifndef TOPOLOGICALSORTING_H +#define TOPOLOGICALSORTING_H + +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]); + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]); + +#endif diff --git a/VisualC++/ExerciseBook/07.35/07.35.c b/VisualC++/ExerciseBook/07.35/07.35.c new file mode 100644 index 0000000..3358ebe --- /dev/null +++ b/VisualC++/ExerciseBook/07.35/07.35.c @@ -0,0 +1,94 @@ +#include +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ·µ»ØÓÐÏòÎÞ»·Í¼µÄ¸ùÔÚ¶¥µãÏòÁ¿ÖеÄÐòºÅ£¬Èç¹û²»´æÔÚ£¬·µ»Ø-1¡£ + * + * ×¢£ºÈç¹û¸ù½áµã´æÔÚ£¬ÔòÒâζןøù½áµãµÄÈë¶ÈÒ»¶¨Îª0¡£ + * ¡¡¡¡ÒòΪÈç¹û¸ùµÄÈë¶È²»Îª0£¬ÄÇô±Ø¶¨»áÐγɻ·¡£ + * ¡¡¡¡Òò´Ë£¬±¾Ìâ±¾ÖÊÉϾÍÊÇÑ°ÕÒÓÐÏòÎÞ»·Í¼ÖÐÈë¶ÈΪ0µÄÄǸö¶¥µã¡£ + */ +int Algo_7_35(ALGraph G); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ²éÕÒÓÐÏòÎÞ»·Í¼µÄ¸ù...\n"); + { + int r = Algo_7_35(G); + + if(r == -1) { + printf("¸ø¶¨µÄÓÐÏòͼÎÞ»·Í¼²»´æÔÚ¸ù\n"); + } else { + printf("¸ÃÓÐÏòÎÞ»·Í¼µÄ¸ùΪ£º%c\n", G.vertices[r].data); + } + + printf("\n"); + } + + return 0; +} + + +/* + * ·µ»ØÓÐÏòÎÞ»·Í¼µÄ¸ùÔÚ¶¥µãÏòÁ¿ÖеÄÐòºÅ£¬Èç¹û²»´æÔÚ£¬·µ»Ø-1 + * + * ×¢£ºÈç¹û¸ù½áµã´æÔÚ£¬ÔòÒâζןøù½áµãµÄÈë¶ÈÒ»¶¨Îª0¡£ + * ¡¡¡¡ÒòΪÈç¹û¸ùµÄÈë¶È²»Îª0£¬ÄÇô±Ø¶¨»áÐγɻ·¡£ + * ¡¡¡¡Òò´Ë£¬±¾Ìâ±¾ÖÊÉϾÍÊÇÑ°ÕÒÓÐÏòÎÞ»·Í¼ÖÐÈë¶ÈΪ0µÄÄǸö¶¥µã¡£ + */ +int Algo_7_35(ALGraph G) { + int i, count, root; + int indegree[MAX_VERTEX_NUM]; + ArcNode* p; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // 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HcmV?d00001 diff --git a/VisualC++/ExerciseBook/07.35/07.35.vcxproj b/VisualC++/ExerciseBook/07.35/07.35.vcxproj new file mode 100644 index 0000000..40d89d3 --- /dev/null +++ b/VisualC++/ExerciseBook/07.35/07.35.vcxproj @@ -0,0 +1,79 @@ + + + + + Debug + Win32 + + + Release + Win32 + + + + {A1E2C405-8E90-4B6D-AC8F-FF259A7629AC} + My0735 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.35/07.35.vcxproj.filters b/VisualC++/ExerciseBook/07.35/07.35.vcxproj.filters new file mode 100644 index 0000000..164cb68 --- /dev/null +++ b/VisualC++/ExerciseBook/07.35/07.35.vcxproj.filters @@ -0,0 +1,35 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.35/07.35.vcxproj.user b/VisualC++/ExerciseBook/07.35/07.35.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.35/07.35.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.35/ALGraph.c b/VisualC++/ExerciseBook/07.35/ALGraph.c new file mode 100644 index 0000000..4f5206b --- /dev/null +++ b/VisualC++/ExerciseBook/07.35/ALGraph.c @@ -0,0 +1,325 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.35/ALGraph.h b/VisualC++/ExerciseBook/07.35/ALGraph.h new file mode 100644 index 0000000..e70b2c2 --- /dev/null +++ b/VisualC++/ExerciseBook/07.35/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.35/TestData_DG.txt b/VisualC++/ExerciseBook/07.35/TestData_DG.txt new file mode 100644 index 0000000..777c5ed --- /dev/null +++ b/VisualC++/ExerciseBook/07.35/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú17 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾F£¬J¡¿¡¾F£¬B¡¿¡¾F£¬C¡¿¡¾F£¬A¡¿¡¾B£¬C¡¿¡¾J£¬I¡¿¡¾C£¬I¡¿¡¾C£¬H¡¿¡¾I£¬H¡¿¡¾C£¬G¡¿¡¾D£¬A¡¿¡¾D£¬L¡¿¡¾L£¬A¡¿¡¾D£¬K¡¿¡¾K£¬E¡¿¡¾E£¬G¡¿¡¾F£¬D¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.36-07.37/07.36-07.37.c b/VisualC++/ExerciseBook/07.36-07.37/07.36-07.37.c new file mode 100644 index 0000000..842d566 --- /dev/null +++ b/VisualC++/ExerciseBook/07.36-07.37/07.36-07.37.c @@ -0,0 +1,167 @@ +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// +#include "TopologicalSorting.h" //**¡ø07 ͼ**// + +/* + * ÇóÓÐÏòÎÞ»·Í¼¸÷¶¥µãµÄ×·¾¶¡£ + * + * ¿ÉÒÔ½èÖúÆäÍØÆËÐòÁУ¬´ÓºóÏòÇ°±éÀú¸÷¶¥µãÀ´¼ÆËã×·¾¶£¬ + * Ô­ÀíÊǶÔÓÚÈÎÒ»¶¥µã³ö·¢µÄ×·¾¶p1£¬ÆäÁÚ½ÓµãµÄ×·¾¶p2Ò²±Ø¶¨ÔÚ×·¾¶p1ÉÏ£¬ + * ¼´£ºÄ³¶¥µãµÄ×·¾¶ = max{ÁÚ½ÓµãµÄ×·¾¶} + * + * ÕâÀïûÓн«MPLÓòÖ±½ÓдÔÚALGraph½á¹¹ÖУ¬¶øÊǽ«Æäµ¥¶À×÷Ϊһ¸öÊý×éÈ¡ÉùÃ÷£¬ÔÚºËÐÄËã·¨ÉÏûÓÐÈκÎÇø±ð¡£ + */ +void Algo_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]); + +/* + * ´òÓ¡¸÷¶¥µãµÄ×·¾¶ + */ +static void PrintPath_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]); + +/* + * ÇóÈ¡ÓÐÏòÎÞ»·Í¼µÄ×·¾¶ + */ +void Algo_7_37(ALGraph G, int mpl[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢Êä³öͼ...\n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Ìâ7.36£ºÇóÈ¡ÓÐÏòÎÞ»·Í¼¸÷¶¥µãµÄ×·¾¶...\n"); + { + int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]; + + Algo_7_36(G, MPL); + PrintPath_7_36(G, MPL); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ Ìâ7.37£ºÇóÈ¡ÓÐÏòÎÞ»·Í¼ÖеÄ×·¾¶...\n"); + { + int mpl[MAX_VERTEX_NUM + 1]; + int i; + + Algo_7_37(G, mpl); + for(i = 1; i <= mpl[0] + 1; i++) { + printf("%c ", G.vertices[mpl[i]].data); + } + printf("\n"); + } + + return 0; +} + + +/* + * ÇóÓÐÏòÎÞ»·Í¼¸÷¶¥µãµÄ×·¾¶¡£ + * + * ¿ÉÒÔ½èÖúÆäÍØÆËÐòÁУ¬´ÓºóÏòÇ°±éÀú¸÷¶¥µãÀ´¼ÆËã×·¾¶£¬ + * Ô­ÀíÊǶÔÓÚÈÎÒ»¶¥µã³ö·¢µÄ×·¾¶p1£¬ÆäÁÚ½ÓµãµÄ×·¾¶p2Ò²±Ø¶¨ÔÚ×·¾¶p1ÉÏ£¬ + * ¼´£ºÄ³¶¥µãµÄ×·¾¶³¤¶È = max{ÁÚ½ÓµãµÄ×·¾¶³¤¶È} + 1 + * + * ÕâÀïûÓн«MPLÓòÖ±½ÓдÔÚALGraph½á¹¹ÖУ¬¶øÊǽ«Æäµ¥¶À×÷Ϊһ¸öÊý×éÈ¡ÉùÃ÷£¬ÔÚºËÐÄËã·¨ÉÏûÓÐÈκÎÇø±ð¡£ + */ +void Algo_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]) { + int i, j, v, w; + int max, k; + int topo[MAX_VERTEX_NUM]; + ArcNode* p; + + if(TopologicalSort(G, topo) == ERROR) { + printf("¸ø¶¨µÄÓÐÏòͼ´æÔڻط£¬ÎÞ·¨»ñÈ¡ÆäÍØÆËÐòÁÐ...\n"); + return; + } + + // ÄæÐò±éÀúÍØÆËÐòÁÐ + for(i = G.vexnum - 1; i >= 0; i--) { + v = topo[i]; + + MPL[v][0] = 0; // 0ºÅµ¥Ôª´æ´¢Â·¾¶³¤¶È + MPL[v][1] = v; // 1ºÅµ¥Ôª´æ´¢Â·¾¶µÄÆðʼ¶¥µãÐòºÅ + + p = G.vertices[v].firstarc; + + // ¶ÔÓÚûÓÐÁÚ½ÓµãµÄ¶¥µã£¬Æä×·¾¶³¤¶ÈΪ0£¬ÎÞÐèÔÙÑо¿ÏÂÈ¥ + if(p == NULL) { + continue; + } + + max = -1; // ÁÚ½ÓµãÖÐ×î´ó·¾¶³¤¶È + k = -1; // ¼Ç¼ӵÓÐ×î´ó·¾¶³¤¶ÈµÄÁÚ½ÓµãµÄÐòºÅ + + // ±éÀúÁÚ½Óµã + while(p != NULL) { + w = p->adjvex; // ÁÚ½ÓµãÐòºÅ + + // Èç¹ûÓжàÌõÏàͬ³¤¶ÈµÄ·¾¶£¬ÔòֻȡÊ×ÏÈ·¢ÏÖµÄÒ»Ìõ + if(MPL[w][0] > max) { + max = MPL[w][0]; + k = w; + } + + p = p->nextarc; + } + + // ¶¥µã×·¾¶³¤¶È = max{ÁÚ½ÓµãµÄ×·¾¶³¤¶È} + 1 + MPL[v][0] = max + 1; + + // ½«ÁÚ½Óµã³ö·¢µÄ×·¾¶¸´ÖƵ½µ±Ç°¶¥µãµÄ×·¾¶ÉÏ + for(j = 1; j <= max + 1; j++) { + MPL[v][j + 1] = MPL[k][j]; + } + } +} + +/* + * ´òÓ¡¸÷¶¥µãµÄ×·¾¶ + */ +static void PrintPath_7_36(ALGraph G, int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]) { + int i, j; + + for(i = 0; i < G.vexnum; i++) { + printf("´Ó¶¥µã %c ³ö·¢µÄ×·¾¶Îª£º", G.vertices[i].data); + for(j = 1; j <= MPL[i][0] + 1; j++) { + printf("%c ", G.vertices[MPL[i][j]].data); + } + printf("\n"); + } +} + +/* + * ÇóÈ¡ÓÐÏòÎÞ»·Í¼µÄ×·¾¶ + */ +void Algo_7_37(ALGraph G, int mpl[MAX_VERTEX_NUM + 1]) { + int MPL[MAX_VERTEX_NUM][MAX_VERTEX_NUM + 1]; + int i, max, k; + + // ÇóÈ¡ËùÓж¥µãµÄ×·¾¶ + Algo_7_36(G, MPL); + + max = -1; + + for(i = 0; i < G.vexnum; i++) { + if(MPL[i][0] > max) { + max = MPL[i][0]; + k = i; + } + } + + for(i = 0; i <= MPL[k][0] + 1; i++) { + mpl[i] = MPL[k][i]; + } +} diff --git a/VisualC++/ExerciseBook/07.36-07.37/07.36-07.37.png b/VisualC++/ExerciseBook/07.36-07.37/07.36-07.37.png new file mode 100644 index 0000000000000000000000000000000000000000..6bb19199dc12ec07185960e5914dd51744fe7485 GIT binary patch literal 16448 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Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.36-07.37/07.36-07.37.vcxproj.filters b/VisualC++/ExerciseBook/07.36-07.37/07.36-07.37.vcxproj.filters new file mode 100644 index 0000000..7bb5822 --- /dev/null +++ b/VisualC++/ExerciseBook/07.36-07.37/07.36-07.37.vcxproj.filters @@ -0,0 +1,47 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.36-07.37/07.36-07.37.vcxproj.user b/VisualC++/ExerciseBook/07.36-07.37/07.36-07.37.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.36-07.37/07.36-07.37.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.36-07.37/ALGraph.c b/VisualC++/ExerciseBook/07.36-07.37/ALGraph.c new file mode 100644 index 0000000..4f5206b --- /dev/null +++ b/VisualC++/ExerciseBook/07.36-07.37/ALGraph.c @@ -0,0 +1,325 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.36-07.37/ALGraph.h b/VisualC++/ExerciseBook/07.36-07.37/ALGraph.h new file mode 100644 index 0000000..e70b2c2 --- /dev/null +++ b/VisualC++/ExerciseBook/07.36-07.37/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.36-07.37/SqStack.c b/VisualC++/ExerciseBook/07.36-07.37/SqStack.c new file mode 100644 index 0000000..f056778 --- /dev/null +++ b/VisualC++/ExerciseBook/07.36-07.37/SqStack.c @@ -0,0 +1,90 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // Õ»Âúʱ£¬×·¼Ó´æ´¢¿Õ¼ä + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // ´æ´¢·ÖÅäʧ°Ü + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // ½øÕ»Ïȸ³Öµ£¬Õ»¶¥Ö¸ÕëÔÙ×ÔÔö + *(S->top++) = e; + + return OK; +} + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // ³öÕ»Õ»¶¥Ö¸ÕëÏȵݼõ£¬ÔÙ¸³Öµ + *e = *(--(*S).top); + + return OK; +} diff --git a/VisualC++/ExerciseBook/07.36-07.37/SqStack.h b/VisualC++/ExerciseBook/07.36-07.37/SqStack.h new file mode 100644 index 0000000..a8fe835 --- /dev/null +++ b/VisualC++/ExerciseBook/07.36-07.37/SqStack.h @@ -0,0 +1,59 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define STACK_INIT_SIZE 100 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define STACKINCREMENT 10 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳ÐòÕ»ÔªËØÀàÐͶ¨Òå */ +typedef int SElemType; + +// ˳ÐòÕ»ÔªËؽṹ +typedef struct { + SElemType* base; // Õ»µ×Ö¸Õë + SElemType* top; // Õ»¶¥Ö¸Õë + int stacksize; // µ±Ç°ÒÑ·ÖÅäµÄ´æ´¢¿Õ¼ä£¬ÒÔÔªËØΪµ¥Î» +} SqStack; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S); + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S); + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e); + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/VisualC++/ExerciseBook/07.36-07.37/TestData_DG.txt b/VisualC++/ExerciseBook/07.36-07.37/TestData_DG.txt new file mode 100644 index 0000000..a240ed8 --- /dev/null +++ b/VisualC++/ExerciseBook/07.36-07.37/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú16 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾F£¬J¡¿¡¾F£¬B¡¿¡¾F£¬C¡¿¡¾F£¬A¡¿¡¾B£¬C¡¿¡¾J£¬I¡¿¡¾C£¬I¡¿¡¾C£¬H¡¿¡¾I£¬H¡¿¡¾C£¬G¡¿¡¾D£¬A¡¿¡¾D£¬L¡¿¡¾L£¬A¡¿¡¾D£¬K¡¿¡¾K£¬E¡¿¡¾E£¬G¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.36-07.37/TopologicalSorting.c b/VisualC++/ExerciseBook/07.36-07.37/TopologicalSorting.c new file mode 100644 index 0000000..82001f5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.36-07.37/TopologicalSorting.c @@ -0,0 +1,96 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#include "TopologicalSorting.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + * + * ×¢£ºÓë½Ì²Ä²»Í¬Ö®´¦ÔÚÓÚ£¬´Ë´¦Ôö¼ÓÁËÒ»¸ötopoÊý×é×ö²ÎÊý¡£ + * ¡¡¡¡¶ÔÓÚÇó³öµÄÍØÆËÐòÁУ¬²»»áÖ±½ÓÊä³ö£¬¶øÊǻỺ´æµ½topoÖС£ + * ¡¡¡¡ÕâÑùµÄ×öµÄÄ¿µÄÊǺóÐøµÄÏ°ÌâÖлáÓжദÓõ½¸ÃÍØÆËÐòÁС£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]) { + int i, k, count; + int indegree[MAX_VERTEX_NUM]; + SqStack S; + ArcNode* p; + + // ¶Ô¸÷¶¥µãÇóÈë¶È + FindInDegree(G, indegree); + + // ³õʼ»¯ÁãÈë¶È¶¥µãÕ» + InitStack(&S); + + // ½¨Á¢Èë¶ÈΪ0µÄ¶¥µãÕ» + for(i = 0; i < G.vexnum; i++) { + // ½«Èë¶ÈΪ0µÄ¶¥µãÌí¼Óµ½Õ»ÖÐ + if(indegree[i] == 0) { + Push(&S, i); + } + } + + // ¶ÔÍØÆËÐòÁÐÖеĶ¥µã¼ÆÊý + count = 0; + + // ±éÀú¶¥µãÕ» + while(!StackEmpty(S)) { + // »ñÈ¡Ò»¸öÁãÈë¶È¶¥µã + Pop(&S, &i); + + // ½«¸÷¶¥µãµÄÐòºÅÔÝ´æÆðÀ´ + topo[count++] = i; + + // ±éÀúiºÅ¶¥µãµÄÁÚ½Óµã + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // »ñÈ¡¶¥µãÐòºÅ + k = p->adjvex; + + /* + * ½«iºÅ¶¥µãÿ¸öÁÚ½ÓµãµÄÈë¶È¼õÒ»£¬ÕâÏ൱ÓÚÇжÎiºÅ¶¥µãµ½ÆäËüÁÚ½ÓµãµÄÁªÏµ¡£ + * Èç¹û³öÏÖÁËеÄÈë¶ÈΪ0µÄ¶¥µã£¬¼ÌÐø½«ÆäÈëÕ»¡£ + */ + if((--indegree[k]) == 0) { + Push(&S, k); + } + } + } + + // Èç¹ûÓöµ½Á˻ط£¬Ôò·µ»ØERROR + if(count < G.vexnum) { + return ERROR; + } else { + return OK; + } +} + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]) { + int i; + ArcNode* p; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // ±éÀú¸Ã¶¥µãµÄËùÓÐÁڽӵ㣬ͳ¼Æ¸÷¶¥µãµÄÈë¶È + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } +} diff --git a/VisualC++/ExerciseBook/07.36-07.37/TopologicalSorting.h b/VisualC++/ExerciseBook/07.36-07.37/TopologicalSorting.h new file mode 100644 index 0000000..3fae677 --- /dev/null +++ b/VisualC++/ExerciseBook/07.36-07.37/TopologicalSorting.h @@ -0,0 +1,28 @@ +/*======================= + * AOV-Íø(ÓÐÏòͼ)µÄÍØÆËÅÅÐò + * + * °üº¬Ëã·¨: 7.12 + ========================*/ + +#ifndef TOPOLOGICALSORTING_H +#define TOPOLOGICALSORTING_H + +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.12 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * Èç¹ûÓÐÏòͼGÎ޻ط£¬ÔòÊä³öËüµÄÒ»¸öÍØÆËÐòÁв¢·µ»ØOK£»·ñÔò£¬·µ»ØFALSE¡£ + * ÍØÆËÐòÁÐͨ³£²»Î¨Ò»£¬µ«ÊDZØÐ뱣֤ijЩ¹Ø¼ü½ÚµãµÄÏȺó´ÎÐò¡£ + */ +Status TopologicalSort(ALGraph G, int topo[MAX_VERTEX_NUM]); + +/* + * ¼ÆËã¸÷¶¥µãµÄÈë¶È + */ +static void FindInDegree(ALGraph G, int indegree[MAX_VERTEX_NUM]); + +#endif diff --git a/VisualC++/ExerciseBook/07.38/07.38.c b/VisualC++/ExerciseBook/07.38/07.38.c new file mode 100644 index 0000000..3f82ce7 --- /dev/null +++ b/VisualC++/ExerciseBook/07.38/07.38.c @@ -0,0 +1,110 @@ +#include +#include "SqList.h" +#include "ALGraph.h" + +/* + * »ñÈ¡´æ´¢ÔÚÓÐÏòÎÞ»·Í¼Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.23 + */ +void Algo_7_38(ALGraph G); + +/* + * ´Ó¶¥µãv³ö·¢»ñÈ¡ÓÐÏòͼÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½¡£ + * ÇóÈ¡µÄÄ沨À¼Ê½»á´æ´¢ÔÚRPNÖС£ + */ +static void AntiPolandFormula_7_38(ALGraph G, int v, SqList* RPN); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡ÓÐÏòÍø... \n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ÇóÈ¡ÓÐÏòÍøÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½... \n"); + { + Algo_7_38(G); + printf("\n"); + } + + return 0; +} + + +/* + * »ñÈ¡´æ´¢ÔÚÓÐÏòÎÞ»·Í¼Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.23 + */ +void Algo_7_38(ALGraph G) { + int i, root; + int indegree[MAX_VERTEX_NUM]; // ËùÓж¥µãµÄÈë¶ÈÐÅÏ¢ + ArcNode* p; + SqList RPN; // ´æ´¢Ä沨À¼±í´ïʽ + ElemType e; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // ±éÀú¸Ã¶¥µãµÄËùÓÐÁڽӵ㣬ͳ¼Æ¸÷¶¥µãµÄÈë¶È + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } + + // ²éÕÒµ½¸ù½áµã + for(i = 0; i < G.vexnum; i++) { + if(indegree[i] == 0) { + root = i; + break; + } + } + + // ³õʼ»¯³¤¶ÈΪ0µÄÏßÐÔ±í + InitList(&RPN); + + // ´ÓÓÐÏòÎÞ»·Í¼µÄ¸ù½áµã³ö·¢£¬Í¨¹ýβµÝ¹é»ñÈ¡µ½ÆäÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½ + AntiPolandFormula_7_38(G, root, &RPN); + + for(i = 1; i <= ListLength(RPN); i++) { + GetElem(RPN, i, &e); + printf("%c", ops[e]); + } + printf("\n"); +} + +/* + * ´Ó¶¥µãv³ö·¢»ñÈ¡ÓÐÏòͼÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½¡£ + * ÇóÈ¡µÄÄ沨À¼Ê½»á´æ´¢ÔÚRPNÖС£ + */ +void AntiPolandFormula_7_38(ALGraph G, int v, SqList* RPN) { + ArcNode* r; + + // ÏȱéÀúÁÚ½Óµã + for(r = G.vertices[v].firstarc; r != NULL; r = r->nextarc) { + AntiPolandFormula_7_38(G, r->adjvex, RPN); + } + + // µ±Ã»ÓÐÁÚ½Óµã¿É±éÀúʱ£¬´æ´¢¸Ã¶¥µã + ListInsert(RPN, ListLength(*RPN) + 1, v); +} diff --git a/VisualC++/ExerciseBook/07.38/07.38.png 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a/VisualC++/ExerciseBook/07.38/07.38.vcxproj b/VisualC++/ExerciseBook/07.38/07.38.vcxproj new file mode 100644 index 0000000..c83ff99 --- /dev/null +++ b/VisualC++/ExerciseBook/07.38/07.38.vcxproj @@ -0,0 +1,81 @@ + + + + + Debug + Win32 + + + Release + Win32 + + + + {D5D2D36F-358D-43FA-B296-7192867B7224} + My0738 + + + + Application + true + MultiByte + + + Application + false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.38/07.38.vcxproj.filters b/VisualC++/ExerciseBook/07.38/07.38.vcxproj.filters new file mode 100644 index 0000000..aaea2f2 --- /dev/null +++ b/VisualC++/ExerciseBook/07.38/07.38.vcxproj.filters @@ -0,0 +1,41 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.38/07.38.vcxproj.user b/VisualC++/ExerciseBook/07.38/07.38.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.38/07.38.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.38/ALGraph.c b/VisualC++/ExerciseBook/07.38/ALGraph.c new file mode 100644 index 0000000..da42955 --- /dev/null +++ b/VisualC++/ExerciseBook/07.38/ALGraph.c @@ -0,0 +1,344 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + +// Ó붥µãÒ»Ò»¶ÔÓ¦µÄ²Ù×÷ÊýÓë²Ù×÷·û +char ops[MAX_VERTEX_NUM]; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ¼ÈëÓ붥µã¶ÔÓ¦µÄ²Ù×÷ÊýÓë²Ù×÷·û + if(fp == NULL) { + printf("Çë¼Èë %d ¸öÓ붥µãÒ»Ò»¶ÔÓ¦µÄ²Ù×÷Êý/²Ù×÷·û£¬²»Í¬²Ù×÷Êý/²Ù×÷·ûÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &(ops[i])); + } + } else { + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &(ops[i])); + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.38/ALGraph.h b/VisualC++/ExerciseBook/07.38/ALGraph.h new file mode 100644 index 0000000..2656c16 --- /dev/null +++ b/VisualC++/ExerciseBook/07.38/ALGraph.h @@ -0,0 +1,131 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + +// Ó붥µãÒ»Ò»¶ÔÓ¦µÄ²Ù×÷ÊýÓë²Ù×÷·û +extern char ops[MAX_VERTEX_NUM]; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.38/SqList.c b/VisualC++/ExerciseBook/07.38/SqList.c new file mode 100644 index 0000000..623d818 --- /dev/null +++ b/VisualC++/ExerciseBook/07.38/SqList.c @@ -0,0 +1,114 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#include "SqList.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L) { + // ·ÖÅäÖ¸¶¨ÈÝÁ¿µÄÄڴ棬Èç¹û·ÖÅäʧ°Ü£¬Ôò·µ»ØNULL + (*L).elem = (ElemType*) malloc(LIST_INIT_SIZE * sizeof(ElemType)); + if((*L).elem == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + (*L).length = 0; // ³õʼ»¯Ë³Ðò±í³¤¶ÈΪ0 + (*L).listsize = LIST_INIT_SIZE; // ˳Ðò±í³õʼÄÚ´æ·ÖÅäÁ¿ + + return OK; // ³õʼ»¯³É¹¦ +} + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L) { + return L.length; +} + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e) { + // ÒòΪiµÄº¬ÒåÊÇλÖã¬ËùÒÔÆäºÏ·¨·¶Î§ÊÇ£º[1, length] + if(i < 1 || i > L.length) { + return ERROR; //iÖµ²»ºÏ·¨ + } + + *e = L.elem[i - 1]; + + return OK; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e) { + ElemType* newbase; + ElemType* p, * q; + + // È·±£Ë³Ðò±í½á¹¹´æÔÚ + if(L == NULL || (*L).elem == NULL) { + return ERROR; + } + + // iÖµÔ½½ç + if(i < 1 || i > (*L).length + 1) { + return ERROR; + } + + // Èô´æ´¢¿Õ¼äÒÑÂú£¬ÔòÔö¼Óпռä + if((*L).length >= (*L).listsize) { + // »ùÓÚÏÖÓпռäÀ©ÈÝ + newbase = (ElemType*) realloc((*L).elem, ((*L).listsize + LISTINCREMENT) * sizeof(ElemType)); + if(newbase == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + // лùÖ· + (*L).elem = newbase; + // ´æµÄ´æ´¢¿Õ¼ä + (*L).listsize += LISTINCREMENT; + } + + // qΪ²åÈëλÖà + q = &(*L).elem[i - 1]; + + // 1.ÓÒÒÆÔªËØ£¬ÌÚ³öλÖà + for(p = &(*L).elem[(*L).length - 1]; p >= q; --p) { + *(p + 1) = *p; + } + + // 2.²åÈëe + *q = e; + + // 3.±í³¤Ôö1 + (*L).length++; + + return OK; +} diff --git a/VisualC++/ExerciseBook/07.38/SqList.h b/VisualC++/ExerciseBook/07.38/SqList.h new file mode 100644 index 0000000..08db2a8 --- /dev/null +++ b/VisualC++/ExerciseBook/07.38/SqList.h @@ -0,0 +1,73 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#ifndef SQLIST_H +#define SQLIST_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define LIST_INIT_SIZE 100 // ˳Ðò±í´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define LISTINCREMENT 10 // ˳Ðò±í´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳Ðò±íÔªËØÀàÐͶ¨Òå */ +typedef int ElemType; + +/* + * ˳Ðò±í½á¹¹ + * + * ×¢£ºelemÔÚʹÓÃÇ°ÐèÒªÏÈΪÆä·ÖÅäÄڴ棬ÇÒÔªËØ´Óelem[0]´¦¿ªÊ¼´æ´¢ + */ +typedef struct { + ElemType* elem; // ˳Ðò±í´æ´¢¿Õ¼äµÄ»ùÖ·£¨Ö¸Ïò˳Ðò±íËùÕ¼ÄÚ´æµÄÆðʼλÖã© + int length; // µ±Ç°Ë³Ðò±í³¤¶È£¨°üº¬¶àÉÙÔªËØ£© + int listsize; // µ±Ç°·ÖÅäµÄ´æ´¢ÈÝÁ¿£¨¿ÉÒÔ´æ´¢¶àÉÙÔªËØ£© +} SqList; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L); + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L); + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e); + +#endif diff --git a/VisualC++/ExerciseBook/07.38/TestData_DG.txt b/VisualC++/ExerciseBook/07.38/TestData_DG.txt new file mode 100644 index 0000000..ee36cd9 --- /dev/null +++ b/VisualC++/ExerciseBook/07.38/TestData_DG.txt @@ -0,0 +1,8 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾C£¬E¡¿¡¾C£¬F¡¿¡¾F£¬G¡¿¡¾D£¬G¡¿¡¾D£¬H¡¿¡¾E£¬I¡¿¡¾E£¬J¡¿¡¾F£¬J¡¿¡¾G£¬K¡¿¡¾G£¬L¡¿ + +Ó붥µã¶ÔÓ¦µÄ²Ù×÷ÊýÓë²Ù×÷·û¡ú¡¾*£¬+£¬*£¬*£¬+£¬*£¬+£¬e£¬a£¬b£¬c£¬d¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.39/07.39.c b/VisualC++/ExerciseBook/07.39/07.39.c new file mode 100644 index 0000000..44c80db --- /dev/null +++ b/VisualC++/ExerciseBook/07.39/07.39.c @@ -0,0 +1,80 @@ +#include +#include "SqList.h" +#include "BiTree.h" + +/* + * »ñÈ¡´æ´¢ÔÚ¶þ²æÊ÷Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.22 + */ +void Algo_7_39(BiTree T); + +/* + * ´Ó¶þ²æÊ÷µÄ¸ù½áµã³ö·¢»ñÈ¡Ê÷Öд洢µÄ±í´ïʽµÄÄ沨À¼Ê½¡£ + * ÇóÈ¡µÄÄ沨À¼Ê½»á´æ´¢ÔÚRPNÖС£ + * + * ×¢£ºÊ¹ÓÃÁ˺óÐø±éÀú + */ +static void AntiPolandFormula_7_39(BiTree T, SqList* RPN); + + +int main(int argc, char* argv[]) { + BiTree T; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡¶þ²æÊ÷... \n"); + { + InitBiTree(&T); + CreateBiTree(&T, "TestData_Pre.txt"); + PrintTree(T); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ÇóÈ¡¶þ²æÊ÷Öд洢µÄ±í´ïʽµÄÄ沨À¼Ê½... \n"); + { + Algo_7_39(T); + printf("\n"); + } + + return 0; +} + + +/* + * »ñÈ¡´æ´¢ÔÚ¶þ²æÊ÷Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.23 + */ +void Algo_7_39(BiTree T) { + int i; + SqList RPN; // ´æ´¢Ä沨À¼±í´ïʽ + ElemType e; + + // ³õʼ»¯³¤¶ÈΪ0µÄÏßÐÔ±í + InitList(&RPN); + + // ´ÓÓÐÏòÎÞ»·Í¼µÄ¸ù½áµã³ö·¢£¬Í¨¹ýβµÝ¹é»ñÈ¡µ½ÆäÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½ + AntiPolandFormula_7_39(T, &RPN); + + for(i = 1; i <= ListLength(RPN); i++) { + GetElem(RPN, i, &e); + printf("%c", e); + } + printf("\n"); +} + +/* + * ´Ó¶þ²æÊ÷µÄ¸ù½áµã³ö·¢»ñÈ¡Ê÷Öд洢µÄ±í´ïʽµÄÄ沨À¼Ê½¡£ + * ÇóÈ¡µÄÄ沨À¼Ê½»á´æ´¢ÔÚRPNÖС£ + * + * ×¢£ºÊ¹ÓÃÁ˺óÐø±éÀú + */ +void AntiPolandFormula_7_39(BiTree T, SqList* RPN) { + if(T == NULL) { + return; + } + + AntiPolandFormula_7_39(T->lchild, RPN); + AntiPolandFormula_7_39(T->rchild, RPN); + // µ±Ã»Óк¢×Ó½áµã¿É±éÀúʱ£¬´æ´¢µ±Ç°½áµã + ListInsert(RPN, ListLength(*RPN) + 1, T->data); +} diff --git a/VisualC++/ExerciseBook/07.39/07.39.png b/VisualC++/ExerciseBook/07.39/07.39.png new file mode 100644 index 0000000000000000000000000000000000000000..382fc999e12140b954c07f046d694aa27e551ce1 GIT binary patch literal 23608 zcmZ_0WmuG5)HY0a42|^AAfd&xp=O-w5AX%WN?J`C0iiAt`|d3&@Ey}xQQr*#0k8MzgE;6^ZjOLpIHn{kt>a~~ z-{Io4DBnD=%sth0qjnS6rO*}JFtco}&0qEVCElJz{ZiPAX+5=R+4vc~w%Pa@%8t*! zWTlDqoQjq(!YNzBn?XoLAgs4Jmvxrk*pr!JlNDVeCh*avSx2edhJ;VEGkAOPe-S`1 zlxT9m@$yA4WvOUrXhvv>AeNz!7!c$mq-(`VAnW>W-~FcDp|<;g)Y0KJ7LQB%uo2JL ztDVZwP~>aTFj$4AA^{}o0S7Hq*+Mj{qxD1Abvyjt@G|DU-sW0u zbplsrVrUqsPRp#r~Ibv|pzel=_2GvI67uNZ5^Co**TrFHG^kM%VSf+37W`(lQ 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b/VisualC++/ExerciseBook/07.39/07.39.vcxproj.filters @@ -0,0 +1,47 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.39/07.39.vcxproj.user b/VisualC++/ExerciseBook/07.39/07.39.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.39/07.39.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.39/BiTree.c b/VisualC++/ExerciseBook/07.39/BiTree.c new file mode 100644 index 0000000..eb4affb --- /dev/null +++ b/VisualC++/ExerciseBook/07.39/BiTree.c @@ -0,0 +1,193 @@ +/*============================= + * ¶þ²æÊ÷µÄ¶þ²æÁ´±í´æ´¢½á¹¹ + * + * °üº¬Ëã·¨: 6.1¡¢6.2¡¢6.3¡¢6.4 + =============================*/ + +#include "BiTree.h" +#include "LinkQueue.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹Ôì¿Õ¶þ²æÊ÷¡£ + */ +Status InitBiTree(BiTree* T) { + if(T == NULL) { + return ERROR; + } + + *T = NULL; + + return OK; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨6.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + * °´ÕÕÔ¤ÉèµÄ¶¨ÒåÀ´´´½¨¶þ²æÊ÷¡£ + * ÕâÀïÔ¼¶¨Ê¹Óá¾ÏÈÐòÐòÁС¿À´´´½¨¶þ²æÊ÷¡£ + * + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL»òÕßΪ¿Õ´®£¬ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateBiTree(BiTree* T, char* path) { + FILE* fp; + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = path == NULL || strcmp(path, "") == 0; + + if(readFromConsole) { + printf("ÇëÊäÈë¶þ²æÊ÷µÄÏÈÐòÐòÁУ¬Èç¹ûûÓÐ×Ó½áµã£¬Ê¹ÓÃ^´úÌ棺"); + CreateTree(T, NULL); + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path, "r"); + if(fp == NULL) { + return ERROR; + } + CreateTree(T, fp); + fclose(fp); + } + + return OK; +} + +/* + * ÅÐ¿Õ + * + * Åж϶þ²æÊ÷ÊÇ·ñΪ¿ÕÊ÷¡£ + */ +Status BiTreeEmpty(BiTree T) { + return T == NULL ? TRUE : FALSE; +} + +/* + * Ê÷Éî + * + * ·µ»Ø¶þ²æÊ÷µÄÉî¶È£¨²ãÊý£©¡£ + */ +int BiTreeDepth(BiTree T) { + int LD, RD; + + if(T == NULL) { + return 0; // ¿ÕÊ÷Éî¶ÈΪ0 + } else { + LD = BiTreeDepth(T->lchild); // Çó×ó×ÓÊ÷Éî¶È + RD = BiTreeDepth(T->rchild); // ÇóÓÒ×ÓÊ÷Éî¶È + + return (LD >= RD ? LD : RD) + 1; + } +} + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ½öÏÞÄÚ²¿Ê¹Óõĺ¯Êý ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ´´½¨¶þ²æÊ÷µÄÄÚ²¿º¯Êý +static void CreateTree(BiTree* T, FILE* fp) { + char ch; + + // ¶ÁÈ¡µ±Ç°½áµãµÄÖµ + if(fp == NULL) { + scanf("%c", &ch); + } else { + ReadData(fp, "%c", &ch); + } + + if(ch == '^') { + *T = NULL; + } else { + // Éú³É¸ù½áµã + *T = (BiTree) malloc(sizeof(BiTNode)); + if(!(*T)) { + exit(OVERFLOW); + } + (*T)->data = ch; + CreateTree(&((*T)->lchild), fp); // ´´½¨×ó×ÓÊ÷ + CreateTree(&((*T)->rchild), fp); // ´´½¨ÓÒ×ÓÊ÷ + } +} + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹£¬½öÏÞÄÚ²¿²âÊÔʹÓà +void PrintTree(BiTree T) { + int level, width; + int i, j, k, w; + int begin; + int distance; + TElemType** tmp; + LinkQueue Q; + BiTree e; + + // Óöµ½¿ÕÊ÷ÔòÎÞÐè¼ÌÐø¼ÆËã + if(BiTreeEmpty(T)) { + printf("\n"); + return; + } + + level = BiTreeDepth(T); // £¨ÍêÈ«£©¶þ²æÊ÷½á¹¹¸ß¶È + width = (int)pow(2, level)-1; // £¨ÍêÈ«£©¶þ²æÊ÷½á¹¹¿í¶È + + // ¶¯Ì¬´´½¨ÐÐ + tmp = (TElemType**)malloc(level* sizeof(TElemType*)); + + // ¶¯Ì¬´´½¨ÁÐ + for(i = 0; i < level; i++) { + tmp[i] = (TElemType*)malloc(width* sizeof(TElemType)); + + // ³õʼ»¯ÄÚ´æֵΪ¿Õ×Ö·û + memset(tmp[i], '\0', width); + } + + // ½èÖú¶ÓÁÐʵÏÖ²ãÐò±éÀú + InitQueue(&Q); + EnQueue(&Q, T); + + // ±éÀúÊ÷ÖÐËùÓÐÔªËØ£¬½«Æä°²Åŵ½¶þάÊý×étmpÖкÏÊʵÄλÖà + for(i = 0; i < level; i++) { + w = (int) pow(2, i); // ¶þ²æÊ÷µ±Ç°²ãµÄ¿í¶È + distance = width / w; // ¶þ²æÊ÷µ±Ç°²ãµÄÔªËؼä¸ô + begin = width / (int) pow(2, i + 1); // ¶þ²æÊ÷µ±Ç°²ãÊ׸öÔªËØ֮ǰµÄ¿Õ¸ñÊý + + for(k = 0; k < w; k++) { + DeQueue(&Q, &e); + + if(e == NULL) { + EnQueue(&Q, NULL); + EnQueue(&Q, NULL); + } else { + j = begin + k * (1 + distance); + tmp[i][j] = e->data; + + // ×óº¢×ÓÈë¶Ó + EnQueue(&Q, e->lchild); + + // ÓÒº¢×ÓÈë¶Ó + EnQueue(&Q, e->rchild); + } + } + } + + for(i = 0; i < level; i++) { + for(j = 0; j < width; j++) { + if(tmp[i][j] != '\0') { + printf("%c", tmp[i][j]); + } else { + printf(" "); + } + } + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.39/BiTree.h b/VisualC++/ExerciseBook/07.39/BiTree.h new file mode 100644 index 0000000..00f93ed --- /dev/null +++ b/VisualC++/ExerciseBook/07.39/BiTree.h @@ -0,0 +1,83 @@ +/*============================= + * ¶þ²æÊ÷µÄ¶þ²æÁ´±í´æ´¢½á¹¹ + * + * °üº¬Ëã·¨: 6.1¡¢6.2¡¢6.3¡¢6.4 + =============================*/ + +#ifndef BITREE_H +#define BITREE_H + +#include +#include // Ìṩ malloc¡¢free Ô­ÐÍ +#include // Ìṩ memset¡¢strcmp Ô­ÐÍ +#include // Ìṩ pow Ô­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ¶þ²æÊ÷ÔªËØÀàÐͶ¨Ò壬ÕâÀï¼ÙÉèÆäÔªËØÀàÐÍΪchar */ +typedef char TElemType; + +/* ¶þ²æÊ÷½áµã¶¨Òå */ +typedef struct BiTNode { + TElemType data; // ½áµãÔªËØ + struct BiTNode* lchild; // ×óº¢×ÓÖ¸Õë + struct BiTNode* rchild; // ÓÒº¢×ÓÖ¸Õë +} BiTNode; + +/* Ö¸Ïò¶þ²æÊ÷½áµãµÄÖ¸Õë */ +typedef BiTNode* BiTree; + + +/* + * ³õʼ»¯ + * + * ¹¹Ôì¿Õ¶þ²æÊ÷¡£ + */ +Status InitBiTree(BiTree* T); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨6.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ´´½¨ + * + * °´ÕÕÔ¤ÉèµÄ¶¨ÒåÀ´´´½¨¶þ²æÊ÷¡£ + * ÕâÀïÔ¼¶¨Ê¹Óá¾ÏÈÐòÐòÁС¿À´´´½¨¶þ²æÊ÷¡£ + * + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL»òÕßΪ¿Õ´®£¬ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateBiTree(BiTree* T, char* path); + +/* + * ÅÐ¿Õ + * + * Åж϶þ²æÊ÷ÊÇ·ñΪ¿ÕÊ÷¡£ + */ +Status BiTreeEmpty(BiTree T); + +/* + * Ê÷Éî + * + * ·µ»Ø¶þ²æÊ÷µÄÉî¶È£¨²ãÊý£©¡£ + */ +int BiTreeDepth(BiTree T); + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ½öÏÞÄÚ²¿Ê¹Óõĺ¯Êý ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ´´½¨¶þ²æÊ÷µÄÄÚ²¿º¯Êý +static void CreateTree(BiTree* T, FILE* fp); + + +/*©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥ ͼÐλ¯Êä³ö ©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥©¥*/ + +// ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹£¬½öÏÞÄÚ²¿²âÊÔʹÓà +void PrintTree(BiTree T); + +#endif diff --git a/VisualC++/ExerciseBook/07.39/LinkQueue.c b/VisualC++/ExerciseBook/07.39/LinkQueue.c new file mode 100644 index 0000000..111c53e --- /dev/null +++ b/VisualC++/ExerciseBook/07.39/LinkQueue.c @@ -0,0 +1,102 @@ +/*========================= + * ¶ÓÁеÄÁ´Ê½´æ´¢½á¹¹£¨Á´¶Ó£© + ==========================*/ + +#ifndef LINKQUEUE_C +#define LINKQUEUE_C + +#include "LinkQueue.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄÁ´¶Ó¡£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁдøÓÐÍ·½áµã + */ +Status InitQueue(LinkQueue* Q) { + if(Q == NULL) { + return ERROR; + } + + (*Q).front = (*Q).rear = (QueuePtr) malloc(sizeof(QNode)); + if(!(*Q).front) { + exit(OVERFLOW); + } + + (*Q).front->next = NULL; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏÁ´¶ÓÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Á´¶ÓΪ¿Õ + * FALSE: Á´¶Ó²»Îª¿Õ + */ +Status QueueEmpty(LinkQueue Q) { + if(Q.front == Q.rear) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(LinkQueue* Q, QElemType e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL) { + return ERROR; + } + + p = (QueuePtr) malloc(sizeof(QNode)); + if(!p) { + exit(OVERFLOW); + } + + p->data = e; + p->next = NULL; + + (*Q).rear->next = p; + (*Q).rear = p; + + return OK; +} + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(LinkQueue* Q, QElemType* e) { + QueuePtr p; + + if(Q == NULL || (*Q).front == NULL || (*Q).front == (*Q).rear) { + return ERROR; + } + + p = (*Q).front->next; + *e = p->data; + + (*Q).front->next = p->next; + if((*Q).rear == p) { + (*Q).rear = (*Q).front; + } + + free(p); + + return OK; +} + +#endif diff --git a/VisualC++/ExerciseBook/07.39/LinkQueue.h b/VisualC++/ExerciseBook/07.39/LinkQueue.h new file mode 100644 index 0000000..cc52316 --- /dev/null +++ b/VisualC++/ExerciseBook/07.39/LinkQueue.h @@ -0,0 +1,65 @@ +/*========================= + * ¶ÓÁеÄÁ´Ê½´æ´¢½á¹¹£¨Á´¶Ó£© + ==========================*/ + +#ifndef LINKQUEUE_H +#define LINKQUEUE_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "BiTree.h" //**¡ø06 Ê÷ºÍ¶þ²æÊ÷**// + +/* Á´¶ÓÔªËØÀàÐͶ¨Òå */ +typedef BiTree QElemType; + +// ¶ÓÁÐÔªËؽṹ +typedef struct QNode { + QElemType data; + struct QNode* next; +} QNode, * QueuePtr; + +// ¶ÓÁнṹ +typedef struct { + QueuePtr front; // ¶ÓÍ·Ö¸Õë + QueuePtr rear; // ¶ÓβָÕë +} LinkQueue; // ¶ÓÁеÄÁ´Ê½´æ´¢±íʾ + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕµÄÁ´¶Ó¡£ + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾×¢¡¿ + * ÕâÀïµÄ¶ÓÁдøÓÐÍ·½áµã + */ +Status InitQueue(LinkQueue* Q); + +/* + * ÅÐ¿Õ + * + * ÅжÏÁ´¶ÓÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : Á´¶ÓΪ¿Õ + * FALSE: Á´¶Ó²»Îª¿Õ + */ +Status QueueEmpty(LinkQueue Q); + +/* + * Èë¶Ó + * + * ½«ÔªËØeÌí¼Óµ½¶ÓÁÐβ²¿¡£ + */ +Status EnQueue(LinkQueue* Q, QElemType e); + +/* + * ³ö¶Ó + * + * ÒƳý¶ÓÁÐÍ·²¿µÄÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + */ +Status DeQueue(LinkQueue* Q, QElemType* e); + +#endif diff --git a/VisualC++/ExerciseBook/07.39/SqList.c b/VisualC++/ExerciseBook/07.39/SqList.c new file mode 100644 index 0000000..623d818 --- /dev/null +++ b/VisualC++/ExerciseBook/07.39/SqList.c @@ -0,0 +1,114 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#include "SqList.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L) { + // ·ÖÅäÖ¸¶¨ÈÝÁ¿µÄÄڴ棬Èç¹û·ÖÅäʧ°Ü£¬Ôò·µ»ØNULL + (*L).elem = (ElemType*) malloc(LIST_INIT_SIZE * sizeof(ElemType)); + if((*L).elem == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + (*L).length = 0; // ³õʼ»¯Ë³Ðò±í³¤¶ÈΪ0 + (*L).listsize = LIST_INIT_SIZE; // ˳Ðò±í³õʼÄÚ´æ·ÖÅäÁ¿ + + return OK; // ³õʼ»¯³É¹¦ +} + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L) { + return L.length; +} + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e) { + // ÒòΪiµÄº¬ÒåÊÇλÖã¬ËùÒÔÆäºÏ·¨·¶Î§ÊÇ£º[1, length] + if(i < 1 || i > L.length) { + return ERROR; //iÖµ²»ºÏ·¨ + } + + *e = L.elem[i - 1]; + + return OK; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e) { + ElemType* newbase; + ElemType* p, * q; + + // È·±£Ë³Ðò±í½á¹¹´æÔÚ + if(L == NULL || (*L).elem == NULL) { + return ERROR; + } + + // iÖµÔ½½ç + if(i < 1 || i > (*L).length + 1) { + return ERROR; + } + + // Èô´æ´¢¿Õ¼äÒÑÂú£¬ÔòÔö¼Óпռä + if((*L).length >= (*L).listsize) { + // »ùÓÚÏÖÓпռäÀ©ÈÝ + newbase = (ElemType*) realloc((*L).elem, ((*L).listsize + LISTINCREMENT) * sizeof(ElemType)); + if(newbase == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + // лùÖ· + (*L).elem = newbase; + // ´æµÄ´æ´¢¿Õ¼ä + (*L).listsize += LISTINCREMENT; + } + + // qΪ²åÈëλÖà + q = &(*L).elem[i - 1]; + + // 1.ÓÒÒÆÔªËØ£¬ÌÚ³öλÖà + for(p = &(*L).elem[(*L).length - 1]; p >= q; --p) { + *(p + 1) = *p; + } + + // 2.²åÈëe + *q = e; + + // 3.±í³¤Ôö1 + (*L).length++; + + return OK; +} diff --git a/VisualC++/ExerciseBook/07.39/SqList.h b/VisualC++/ExerciseBook/07.39/SqList.h new file mode 100644 index 0000000..08db2a8 --- /dev/null +++ b/VisualC++/ExerciseBook/07.39/SqList.h @@ -0,0 +1,73 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#ifndef SQLIST_H +#define SQLIST_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define LIST_INIT_SIZE 100 // ˳Ðò±í´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define LISTINCREMENT 10 // ˳Ðò±í´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳Ðò±íÔªËØÀàÐͶ¨Òå */ +typedef int ElemType; + +/* + * ˳Ðò±í½á¹¹ + * + * ×¢£ºelemÔÚʹÓÃÇ°ÐèÒªÏÈΪÆä·ÖÅäÄڴ棬ÇÒÔªËØ´Óelem[0]´¦¿ªÊ¼´æ´¢ + */ +typedef struct { + ElemType* elem; // ˳Ðò±í´æ´¢¿Õ¼äµÄ»ùÖ·£¨Ö¸Ïò˳Ðò±íËùÕ¼ÄÚ´æµÄÆðʼλÖã© + int length; // µ±Ç°Ë³Ðò±í³¤¶È£¨°üº¬¶àÉÙÔªËØ£© + int listsize; // µ±Ç°·ÖÅäµÄ´æ´¢ÈÝÁ¿£¨¿ÉÒÔ´æ´¢¶àÉÙÔªËØ£© +} SqList; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L); + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L); + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e); + +#endif diff --git a/VisualC++/ExerciseBook/07.39/TestData_Pre.txt b/VisualC++/ExerciseBook/07.39/TestData_Pre.txt new file mode 100644 index 0000000..e988f9b --- /dev/null +++ b/VisualC++/ExerciseBook/07.39/TestData_Pre.txt @@ -0,0 +1 @@ +ÏÈÐòÐòÁУ¨³¯ÉϵÄÈý½Ç´ú±í¿Õ½áµã£©£º*+*+a^^b^^*b^^+c^^d^^*+c^^d^^e^^*+c^^d^^e^^ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.40/07.40.c b/VisualC++/ExerciseBook/07.40/07.40.c new file mode 100644 index 0000000..cd16ce8 --- /dev/null +++ b/VisualC++/ExerciseBook/07.40/07.40.c @@ -0,0 +1,193 @@ +#include +#include +#include "SqList.h" +#include "ALGraph.h" + +/* + * »ñÈ¡´æ´¢ÔÚÓÐÏòÎÞ»·Í¼Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.23 + */ +void Algo_7_40(ALGraph G, SqList* RPN); + +/* + * ´Ó¶¥µãv³ö·¢»ñÈ¡ÓÐÏòͼÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½¡£ + * ÇóÈ¡µÄÄ沨À¼Ê½»á´æ´¢ÔÚRPNÖС£ + */ +static void AntiPolandFormula_7_40(ALGraph G, int v, SqList* RPN); + +/* + * ¼ÆËãÄ沨À¼Ê½µÄÖµ + */ +int Evaluation_7_40(SqList RPN); + + +int main(int argc, char* argv[]) { + ALGraph G; + SqList RPN; // ´æ´¢Ä沨À¼±í´ïʽ + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡ÓÐÏòÍø... \n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = ""; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ÇóÈ¡ÓÐÏòÍøÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½... \n"); + { + Algo_7_40(G, &RPN); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ¼ÆËãÄ沨À¼Ê½µÄÖµ... \n"); + { + printf("¼ÆËãÉÏÊöÄ沨À¼Ê½µÄֵΪ£º%d\n", Evaluation_7_40(RPN)); + printf("\n"); + } + + return 0; +} + + +/* + * »ñÈ¡´æ´¢ÔÚÓÐÏòÎÞ»·Í¼Öеıí´ïʽµÄÄ沨À¼Ê½ + * + * ×¢£º±í´ïʽ½á¹¹²Î¿¼½Ì²Ä²åͼ7.23 + */ +void Algo_7_40(ALGraph G, SqList* RPN) { + int i, root; + int indegree[MAX_VERTEX_NUM]; // ËùÓж¥µãµÄÈë¶ÈÐÅÏ¢ + ArcNode* p; + ElemType e; + + // ³õʼ»¯ËùÓж¥µãµÄÈë¶ÈΪ0 + for(i = 0; i < G.vexnum; i++) { + indegree[i] = 0; + } + + // ±éÀúËùÓж¥µã + for(i = 0; i < G.vexnum; i++) { + // Ö¸Ïò¸Ã¶¥µãµÄÊ׸öÁÚ½Óµã + p = G.vertices[i].firstarc; + + // ±éÀú¸Ã¶¥µãµÄËùÓÐÁڽӵ㣬ͳ¼Æ¸÷¶¥µãµÄÈë¶È + while(p != NULL) { + indegree[p->adjvex]++; + p = p->nextarc; + } + } + + // ²éÕÒµ½¸ù½áµã + for(i = 0; i < G.vexnum; i++) { + if(indegree[i] == 0) { + root = i; + break; + } + } + + // ³õʼ»¯³¤¶ÈΪ0µÄÏßÐÔ±í + InitList(RPN); + + // ´ÓÓÐÏòÎÞ»·Í¼µÄ¸ù½áµã³ö·¢£¬Í¨¹ýβµÝ¹é»ñÈ¡µ½ÆäÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½ + AntiPolandFormula_7_40(G, root, RPN); + + // Êä³öÄ沨À¼Ê½ + for(i = 1; i <= ListLength(*RPN); i++) { + GetElem(*RPN, i, &e); + + if(e.type == Operand) { + printf("%d ", e.op); // ²Ù×÷Êý + } else { + printf("%c ", e.op); // ²Ù×÷·û + } + } + printf("\n"); +} + +/* + * ´Ó¶¥µãv³ö·¢»ñÈ¡ÓÐÏòͼÖд洢µÄ±í´ïʽµÄÄ沨À¼Ê½¡£ + * ÇóÈ¡µÄÄ沨À¼Ê½»á´æ´¢ÔÚRPNÖС£ + */ +void AntiPolandFormula_7_40(ALGraph G, int v, SqList* RPN) { + ArcNode* r; + Vertex vex; + + // ÏȱéÀúÁÚ½Óµã + for(r = G.vertices[v].firstarc; r != NULL; r = r->nextarc) { + AntiPolandFormula_7_40(G, r->adjvex, RPN); + } + + // »ñÈ¡²Ù×÷·û/²Ù×÷Êý + vex = G.vertices[v].context; + + // µ±Ã»ÓÐÁÚ½Óµã¿É±éÀúʱ£¬´æ´¢¸Ã¶¥µã + ListInsert(RPN, ListLength(*RPN) + 1, vex); +} + +/* + * ¼ÆËãÄ沨À¼Ê½µÄÖµ£¬Èç¹û·¢Éú´íÎ󣬷µ»ØINT_MIN¡£ + */ +int Evaluation_7_40(SqList RPN) { + int stack[MAX_VERTEX_NUM]; // Ä£ÄâÒ»¸öÕ»£¬ÓÃÀ´´æ´¢±í´ïʽµÄ¼ÆËã½á¹û + int top = 0; // Õ»¶¥Óαê + int a, b; + ElemType e; + int i; + Boolean hasError = FALSE; // ¼ÆËã¹ý³ÌÖгöÏÖÁË´íÎó + + for(i = 1; i <= ListLength(RPN) && !hasError; i++) { + GetElem(RPN, i, &e); + + // ²Ù×÷Êý + if(e.type == Operand) { + stack[top++] = e.op; + + // ²Ù×÷·û + } else { + if(top > 0) { + b = stack[--top]; + } else { + return INT_MIN; + } + + if(top > 0) { + a = stack[--top]; + } else { + return INT_MIN; + } + + switch(e.op) { + case '+': + stack[top++] = a + b; + break; + case '-': + stack[top++] = a - b; + break; + case '*': + stack[top++] = a * b; + break; + case '/': + stack[top++] = a / b; + break; + default: + printf("ÎÞ·¨Ê¶±ðµÄ²Ù×÷·û£º%c\n", e.op); + hasError = TRUE; + break; + } + } + } + + // 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b/VisualC++/ExerciseBook/07.40/07.40.vcxproj.filters @@ -0,0 +1,41 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.40/07.40.vcxproj.user b/VisualC++/ExerciseBook/07.40/07.40.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.40/07.40.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.40/ALGraph.c b/VisualC++/ExerciseBook/07.40/ALGraph.c new file mode 100644 index 0000000..8957deb --- /dev/null +++ b/VisualC++/ExerciseBook/07.40/ALGraph.c @@ -0,0 +1,377 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòͼ + kind = 0; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + int type; + char o; // ²Ù×÷·û + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + + + /* Ìí¼ÓÏÂÃæ´úÂ룬ÒÔÓ¦¶ÔÐ޸ĺóµÄ½á¹¹ */ + + // ¼È붥µã¶ÔÓ¦µÄ²Ù×÷·û/²Ù×÷Êý + if(fp == NULL) { + printf("ÇëΪ¸÷¶¥µã¼Èë²Ù×÷·û/²Ù×÷ÊýÐÅÏ¢£º\n"); + printf(" Èç¹û¶¥µãÊDzÙ×÷·û£¬Ê¾·¶ÊäÈëΪ£º0 +\n"); + printf(" Èç¹û¶¥µãÊDzÙ×÷Êý£¬Ê¾·¶ÊäÈëΪ£º1 12\n"); + for(i = 0; i < vexnum; i++) { + printf("ÇëÊäÈ붥µã %c ¶ÔÓ¦µÄÊý¾ÝÐÅÏ¢£º", G->vertices[i].data); + + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%d", &type); + + // ²Ù×÷·û + if(type == 0) { + (*G).vertices[i].context.type = Operator; + scanf("%c", &o); + (*G).vertices[i].context.op = o; + } else if(type == 1) { + (*G).vertices[i].context.type = Operand; + scanf("%d", &((*G).vertices[i].context.op)); + } else { + printf("ÎÞ·¨Ê¶±ðµÄ¶¥µãÊý¾Ý...\n"); + return ERROR; + } + } + } else { + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%d", &type); + + // ²Ù×÷·û + if(type == 0) { + (*G).vertices[i].context.type = Operator; + ReadData(fp, "%c", &o); + (*G).vertices[i].context.op = o; + } else if(type == 1) { + (*G).vertices[i].context.type = Operand; + ReadData(fp, "%d", &((*G).vertices[i].context.op)); + } else { + printf("ÎÞ·¨Ê¶±ðµÄ¶¥µãÊý¾Ý...\n"); + return ERROR; + } + } + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.40/ALGraph.h b/VisualC++/ExerciseBook/07.40/ALGraph.h new file mode 100644 index 0000000..f53e2d0 --- /dev/null +++ b/VisualC++/ExerciseBook/07.40/ALGraph.h @@ -0,0 +1,141 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãµÄÊý¾ÝÀàÐÍ +typedef enum { + Operator, // ²Ù×÷·û£¬ÓÃ×Ö·û±íʾ£¬µ«¿ÉÒÔ´æ´¢µ½ÕûÐÍÖÐ + Operand // ²Ù×÷Êý£¬ÓÃÕûÊý±íʾ£¬Èç¹û½«À´À©³äµ½¸¡µãÊý£¬¿ÉÒÔͳһʹÓø¡µãÐÍ´æ´¢ +} Type; + +// ¶¥µã±àºÅÀàÐÍ +typedef char VertexType; + +// ¶¥µã´æ´¢µÄÊý¾Ý +typedef struct Vertex { + Type type; // ָʾµ±Ç°¶¥µãÊDzÙ×÷·û»¹ÊDzÙ×÷Êý + int op; // ´æ´¢µ±Ç°¶¥µã¶ÔÓ¦µÄ²Ù×÷·û/²Ù×÷Êý +} Vertex; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + Vertex context; // Óë¸Ã¶¥µã¶ÔÓ¦µÄ²Ù×÷·û/²Ù×÷Êý + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.40/SqList.c b/VisualC++/ExerciseBook/07.40/SqList.c new file mode 100644 index 0000000..623d818 --- /dev/null +++ b/VisualC++/ExerciseBook/07.40/SqList.c @@ -0,0 +1,114 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#include "SqList.h" + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L) { + // ·ÖÅäÖ¸¶¨ÈÝÁ¿µÄÄڴ棬Èç¹û·ÖÅäʧ°Ü£¬Ôò·µ»ØNULL + (*L).elem = (ElemType*) malloc(LIST_INIT_SIZE * sizeof(ElemType)); + if((*L).elem == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + (*L).length = 0; // ³õʼ»¯Ë³Ðò±í³¤¶ÈΪ0 + (*L).listsize = LIST_INIT_SIZE; // ˳Ðò±í³õʼÄÚ´æ·ÖÅäÁ¿ + + return OK; // ³õʼ»¯³É¹¦ +} + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L) { + return L.length; +} + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e) { + // ÒòΪiµÄº¬ÒåÊÇλÖã¬ËùÒÔÆäºÏ·¨·¶Î§ÊÇ£º[1, length] + if(i < 1 || i > L.length) { + return ERROR; //iÖµ²»ºÏ·¨ + } + + *e = L.elem[i - 1]; + + return OK; +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e) { + ElemType* newbase; + ElemType* p, * q; + + // È·±£Ë³Ðò±í½á¹¹´æÔÚ + if(L == NULL || (*L).elem == NULL) { + return ERROR; + } + + // iÖµÔ½½ç + if(i < 1 || i > (*L).length + 1) { + return ERROR; + } + + // Èô´æ´¢¿Õ¼äÒÑÂú£¬ÔòÔö¼Óпռä + if((*L).length >= (*L).listsize) { + // »ùÓÚÏÖÓпռäÀ©ÈÝ + newbase = (ElemType*) realloc((*L).elem, ((*L).listsize + LISTINCREMENT) * sizeof(ElemType)); + if(newbase == NULL) { + // ´æ´¢ÄÚ´æʧ°Ü + exit(OVERFLOW); + } + + // лùÖ· + (*L).elem = newbase; + // ´æµÄ´æ´¢¿Õ¼ä + (*L).listsize += LISTINCREMENT; + } + + // qΪ²åÈëλÖà + q = &(*L).elem[i - 1]; + + // 1.ÓÒÒÆÔªËØ£¬ÌÚ³öλÖà + for(p = &(*L).elem[(*L).length - 1]; p >= q; --p) { + *(p + 1) = *p; + } + + // 2.²åÈëe + *q = e; + + // 3.±í³¤Ôö1 + (*L).length++; + + return OK; +} diff --git a/VisualC++/ExerciseBook/07.40/SqList.h b/VisualC++/ExerciseBook/07.40/SqList.h new file mode 100644 index 0000000..8788fdb --- /dev/null +++ b/VisualC++/ExerciseBook/07.40/SqList.h @@ -0,0 +1,74 @@ +/*============================= + * ÏßÐÔ±íµÄ˳Ðò´æ´¢½á¹¹£¨Ë³Ðò±í£© + * + * °üº¬Ëã·¨: 2.3¡¢2.4¡¢2.5¡¢2.6 + =============================*/ + +#ifndef SQLIST_H +#define SQLIST_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +/* ºê¶¨Òå */ +#define LIST_INIT_SIZE 100 // ˳Ðò±í´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define LISTINCREMENT 10 // ˳Ðò±í´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳Ðò±íÔªËØÀàÐͶ¨Òå */ +typedef Vertex ElemType; + +/* + * ˳Ðò±í½á¹¹ + * + * ×¢£ºelemÔÚʹÓÃÇ°ÐèÒªÏÈΪÆä·ÖÅäÄڴ棬ÇÒÔªËØ´Óelem[0]´¦¿ªÊ¼´æ´¢ + */ +typedef struct { + ElemType* elem; // ˳Ðò±í´æ´¢¿Õ¼äµÄ»ùÖ·£¨Ö¸Ïò˳Ðò±íËùÕ¼ÄÚ´æµÄÆðʼλÖã© + int length; // µ±Ç°Ë³Ðò±í³¤¶È£¨°üº¬¶àÉÙÔªËØ£© + int listsize; // µ±Ç°·ÖÅäµÄ´æ´¢ÈÝÁ¿£¨¿ÉÒÔ´æ´¢¶àÉÙÔªËØ£© +} SqList; + + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.3 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ³õʼ»¯ + * + * ³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitList(SqList* L); + +/* + * ¼ÆÊý + * + * ·µ»Ø˳Ðò±í°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int ListLength(SqList L); + +/* + * È¡Öµ + * + * »ñȡ˳Ðò±íÖеÚi¸öÔªËØ£¬½«Æä´æ´¢µ½eÖС£ + * Èç¹û¿ÉÒÔÕÒµ½£¬·µ»ØOK£¬·ñÔò£¬·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý£¬µ«Õâ²»·ûºÏ±àÂëµÄͨÓÃÔ¼¶¨¡£ + * ͨ³££¬iµÄº¬ÒåÓ¦¸ÃÖ¸Ë÷Òý£¬¼´´Ó0¿ªÊ¼¼ÆÊý¡£ + */ +Status GetElem(SqList L, int i, ElemType* e); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨2.4 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * ²åÈë + * + * Ïò˳Ðò±íµÚi¸öλÖÃÉϲåÈëe£¬²åÈë³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + * + *¡¾±¸×¢¡¿ + * ½Ì²ÄÖÐiµÄº¬ÒåÊÇÔªËØλÖ㬴Ó1¿ªÊ¼¼ÆÊý + */ +Status ListInsert(SqList* L, int i, ElemType e); + +#endif diff --git a/VisualC++/ExerciseBook/07.40/TestData_DG.txt b/VisualC++/ExerciseBook/07.40/TestData_DG.txt new file mode 100644 index 0000000..87b0ea5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.40/TestData_DG.txt @@ -0,0 +1,8 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú12 +»¡Êý¡ú14 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬B¡¿¡¾A£¬D¡¿¡¾B£¬C¡¿¡¾B£¬D¡¿¡¾C£¬E¡¿¡¾C£¬F¡¿¡¾F£¬G¡¿¡¾D£¬G¡¿¡¾D£¬H¡¿¡¾E£¬I¡¿¡¾E£¬J¡¿¡¾F£¬J¡¿¡¾G£¬K¡¿¡¾G£¬L¡¿ + +Ó붥µã¶ÔÓ¦µÄ²Ù×÷ÊýÓë²Ù×÷·û¡ú¡¾0£¬*¡¿¡¾0£¬+¡¿¡¾0£¬*¡¿¡¾0£¬*¡¿¡¾0£¬+¡¿¡¾0£¬*¡¿¡¾0£¬+¡¿¡¾1£¬12¡¿¡¾1£¬3¡¿¡¾1£¬4¡¿¡¾1£¬5¡¿¡¾1£¬6¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.41/07.41.c b/VisualC++/ExerciseBook/07.41/07.41.c new file mode 100644 index 0000000..8a776be --- /dev/null +++ b/VisualC++/ExerciseBook/07.41/07.41.c @@ -0,0 +1,160 @@ +#include +#include "SqStack.h" +#include "ALGraph.h" + +// »º´æÒÑÕÒµ½µÄȨֵºÍ×î´óµÄ·¾¶µÄȨֵºÍ +static int MAX = -1; + + +/* + * ÇóÈ¡ÓÐÏòÍøÖеĹؼü·¾¶(CPM) + * + * ´Ë´¦ÀûÓÃÉî¶ÈÓÅÏȱéÀúµÄ˼ÏëÀ´ÇóÈ¡¹Ø¼ü·¾¶£¬Æä»ù±¾Ô­ÀíÊÇ£º¹Ø¼ü·¾¶ = ȨֵºÍ×î´óµÄ·¾¶ + * + * ×¢£º½Ì²ÄÖÐÓ¦¸ÃÊDZÊÎ󣬲»ÊÇÇóÓÐÏòͼµÄ¹Ø¼ü·¾¶£¬¶øÊÇÇóÓÐÏòÍøµÄ×·¾¶ + */ +void Algo_7_41(ALGraph G); + +/* + * ²éÕҹؼü·¾¶ÉϵÄÔ´µã + * + * ´Ë´¦Ê¹ÓÃÁíÍâÒ»ÖÖ·½Ê½ÇóÔ´µã£¬¶ø²»ÊÇÏñ֮ǰһÑùͨ¹ýÈë¶ÈÐÅÏ¢ÇóÔ´µã£¬ + * ²»¹ýÕâÁ½ÖÖ·½·¨ÊÇÊâ;ͬ¹éµÄ¡£ + */ +static int FindBegin_7_41(ALGraph G); + +/* + * ͨ¹ýÉî¶ÈÓÅÏȱéÀú²éÕÒͼÖдӶ¥µãv³ö·¢µÄȨֵ×µÄ·¾¶(¹Ø¼ü·¾¶)¡£ + * + * sumºÍSÓÃÀ´»º´æ·¾¶È¨ÖµºÍÓëÒѾ­ÕÒµ½µÄ·¾¶£¬ + * pathÓÃÀ´¼Ç¼µ±Ç°ÕÒµ½µÄȨֵºÍ×î´óµÄ·¾¶£¬path[0]ÉÏ´æ´¢¶¥µãÊýÁ¿¡£ + */ +static void FindPath_7_41(ALGraph G, int v, int sum, SqStack* S, int path[MAX_VERTEX_NUM + 1]); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡ÓÐÏòÍø... \n"); + { + char* path[4]; + + path[0] = ""; + path[1] = "TestData_DN.txt"; + path[2] = ""; + path[3] = ""; + + CreateGraph(&G, path); + PrintGraph(G); + } + PressEnterToContinue(debug); + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ÇóÈ¡ÓÐÏòÍøµÄ¹Ø¼ü·¾¶... \n"); + { + Algo_7_41(G); + } + PressEnterToContinue(debug); + + return 0; +} + + +/* + * ÇóÈ¡ÓÐÏòÍøÖеĹؼü·¾¶(CPM) + * + * ´Ë´¦ÀûÓÃÉî¶ÈÓÅÏȱéÀúµÄ˼ÏëÀ´ÇóÈ¡¹Ø¼ü·¾¶£¬Æä»ù±¾Ô­ÀíÊÇ£º¹Ø¼ü·¾¶ = ȨֵºÍ×î´óµÄ·¾¶ + * + * ×¢£º½Ì²ÄÖÐÓ¦¸ÃÊDZÊÎ󣬲»ÊÇÇóÓÐÏòͼµÄ¹Ø¼ü·¾¶£¬¶øÊÇÇóÓÐÏòÍøµÄ×·¾¶ + */ +void Algo_7_41(ALGraph G) { + int i; + int begin; // ¹Ø¼ü·¾¶ÉϵÄÔ´µã + int path[MAX_VERTEX_NUM + 1] = {-1}; // ´æ´¢È¨ÖµºÍ×î´óµÄ·¾¶£¬0ºÃµ¥Ôª´æ´¢È¨ÖµºÍ + SqStack S; + + // ²éÕҹؼü·¾¶ÉϵÄÔ´µã + begin = FindBegin_7_41(G); + + InitStack(&S); + + FindPath_7_41(G, begin, 0, &S, path); + + printf("ÒÑÕÒµ½µÄȨֵºÍ×î´óµÄ·¾¶(¹Ø¼ü·¾¶)Ϊ£º"); + for(i = 1; i <= path[0]; i++) { + printf("%c ", G.vertices[path[i]].data); + } + printf("\n"); +} + +/* + * ²éÕҹؼü·¾¶ÉϵÄÔ´µã + * + * ´Ë´¦Ê¹ÓÃÁíÍâÒ»ÖÖ·½Ê½ÇóÔ´µã£¬¶ø²»ÊÇÏñ֮ǰһÑùͨ¹ýÈë¶ÈÐÅÏ¢ÇóÔ´µã£¬ + * ²»¹ýÕâÁ½ÖÖ·½·¨ÊÇÊâ;ͬ¹éµÄ¡£ + */ +static int FindBegin_7_41(ALGraph G) { + int k; + ArcNode* p; + Boolean isAdj[MAX_VERTEX_NUM] = {FALSE}; // ¼Ç¼ÄÄЩ¶¥µã×öÁËÁÚ½Óµã + + // ÕÒµ½ËùÓÐÁÚ½Óµã + for(k = 0; k < G.vexnum; k++) { + for(p = G.vertices[k].firstarc; p != NULL; p = p->nextarc) { + isAdj[p->adjvex] = TRUE; + } + } + + // ¹Ø¼ü·¾¶ÉϵÄÔ´µãûÓÐÈ뻡£¬ËùÒÔÒ²²»»á³ÉΪ±ðµÄ¶¥µãµÄÁÚ½Óµã + for(k = 0; k < G.vexnum; k++) { + if(isAdj[k] == FALSE) { + return k; + } + } + + return -1; +} + +/* + * ͨ¹ýÉî¶ÈÓÅÏȱéÀú²éÕÒͼÖдӶ¥µãv³ö·¢µÄȨֵ×µÄ·¾¶(¹Ø¼ü·¾¶)¡£ + * + * sumºÍSÓÃÀ´»º´æ·¾¶È¨ÖµºÍÓëÒѾ­ÕÒµ½µÄ·¾¶£¬ + * pathÓÃÀ´¼Ç¼µ±Ç°ÕÒµ½µÄȨֵºÍ×î´óµÄ·¾¶£¬path[0]ÉÏ´æ´¢¶¥µãÊýÁ¿¡£ + */ +static void FindPath_7_41(ALGraph G, int v, int sum, SqStack* S, int path[MAX_VERTEX_NUM + 1]) { + int i; + ArcNode* p; + SElemType e; + + // ½«Óöµ½µÄ¶¥µãÔݴ浽·¾¶Õ» + Push(S, v); + + // Éî¶ÈÓÅÏȱéÀú + for(p = G.vertices[v].firstarc; p != NULL; p = p->nextarc) { + sum += p->info->weight; + FindPath_7_41(G, p->adjvex, sum, S, path); + sum -= p->info->weight; + } + + /* + * ÖÁ´Ë£¬´Ë·¾¶ÒѱéÀúµ½Á˾¡Í·£¬ + * Èç¹û¸Ã·¾¶µÄȨֵºÍ±È֮ǰÕÒµ½µÄ·¾¶È¨ÖµºÍ¸ü´ó£¬ÔòÐèÒª°Ñ¸Ã·¾¶ÍêÕûµØ±£´æµ½pathÖУ¬ + * ±£´æÍê³Éºó£¬½«µ±Ç°¶¥µãvÍËÕ» + */ + + // Èç¹û¸Ã¶¥µãÊÇÖÕµã(±íÏÖΪûÓÐÁÚ½Óµã) + if(G.vertices[v].firstarc == NULL) { + // ·¢ÏÖÁËȨֵºÍ¸ü´óµÄ·¾¶ + if(sum > MAX) { + MAX = sum; + + path[0] = StackLength(*S); + + // ½«Õ»Öб£´æµÄ·¾¶¸´ÖƵ½pathÖÐ + for(i = 0; i < StackLength(*S); i++) { + path[i + 1] = S->base[i]; + } + } + } + + Pop(S, &e); +} diff --git a/VisualC++/ExerciseBook/07.41/07.41.png b/VisualC++/ExerciseBook/07.41/07.41.png new file mode 100644 index 0000000000000000000000000000000000000000..3ed9f7963757766a92efdbd61a2ad0480732600d GIT binary patch literal 36952 zcmXtf1yGya^EF=FT?@q}6o=yOUNpG7H#ih`w<1M~6e;cmcXtWy6bag5#r}DJ-+YuBP=x}gwSc(cVT5xdi^RTxIDgx}A4s>i+*ay6)mb?^P z%{1i+>;lPFQdJTTu09Fl*&G>mjpn9c;0XtZJ@DTfe#Euh3JxymTv0~yvyaJn7e+ee zi0}5q0i;`{-*P~VsXIRPOk>Pi<)1!&Ni_bU3^9W&zcU-Z^I5E$)o9anDVB*g<0L&V z<#@QvJ2)!2Q0g+XxfTiZ_kAQF+HMIvq)Z>^(@T)KHwXms2HF08IsHAk6|8gn_wKI< zhM@Cy> 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a/VisualC++/ExerciseBook/07.41/07.41.vcxproj.filters b/VisualC++/ExerciseBook/07.41/07.41.vcxproj.filters new file mode 100644 index 0000000..9a3abaa --- /dev/null +++ b/VisualC++/ExerciseBook/07.41/07.41.vcxproj.filters @@ -0,0 +1,41 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.41/07.41.vcxproj.user b/VisualC++/ExerciseBook/07.41/07.41.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.41/07.41.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.41/ALGraph.c b/VisualC++/ExerciseBook/07.41/ALGraph.c new file mode 100644 index 0000000..fc32f22 --- /dev/null +++ b/VisualC++/ExerciseBook/07.41/ALGraph.c @@ -0,0 +1,326 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + // ¡ï¡ï¡ï´Ë´¦¹Ì¶¨ÎªÓÐÏòÍø + kind = 1; + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DN: + flag = CreateDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo);// Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢(´Ë´¦Ó¦µ±°üº¬) + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.41/ALGraph.h b/VisualC++/ExerciseBook/07.41/ALGraph.h new file mode 100644 index 0000000..db081e5 --- /dev/null +++ b/VisualC++/ExerciseBook/07.41/ALGraph.h @@ -0,0 +1,128 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.41/SqStack.c b/VisualC++/ExerciseBook/07.41/SqStack.c new file mode 100644 index 0000000..db1b22c --- /dev/null +++ b/VisualC++/ExerciseBook/07.41/SqStack.c @@ -0,0 +1,103 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#include "SqStack.h" //**¡ø03 Õ»ºÍ¶ÓÁÐ**// + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S) { + if(S == NULL) { + return ERROR; + } + + (*S).base = (SElemType*) malloc(STACK_INIT_SIZE * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); + } + + (*S).top = (*S).base; + (*S).stacksize = STACK_INIT_SIZE; + + return OK; +} + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S) { + if(S.top == S.base) { + return TRUE; + } else { + return FALSE; + } +} + +/* + * ¼ÆÊý + * + * ·µ»Ø˳ÐòÕ»°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int StackLength(SqStack S) { + if(S.base == NULL) { + return 0; + } + + return (int) (S.top - S.base); +} + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + // Õ»Âúʱ£¬×·¼Ó´æ´¢¿Õ¼ä + if((*S).top - (*S).base >= (*S).stacksize) { + (*S).base = (SElemType*) realloc((*S).base, ((*S).stacksize + STACKINCREMENT) * sizeof(SElemType)); + if((*S).base == NULL) { + exit(OVERFLOW); // ´æ´¢·ÖÅäʧ°Ü + } + + (*S).top = (*S).base + (*S).stacksize; + (*S).stacksize += STACKINCREMENT; + } + + // ½øÕ»Ïȸ³Öµ£¬Õ»¶¥Ö¸ÕëÔÙ×ÔÔö + *(S->top++) = e; + + return OK; +} + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e) { + if(S == NULL || (*S).base == NULL) { + return ERROR; + } + + if((*S).top == (*S).base) { + return ERROR; + } + + // ³öÕ»Õ»¶¥Ö¸ÕëÏȵݼõ£¬ÔÙ¸³Öµ + *e = *(--(*S).top); + + return OK; +} diff --git a/VisualC++/ExerciseBook/07.41/SqStack.h b/VisualC++/ExerciseBook/07.41/SqStack.h new file mode 100644 index 0000000..0c87d76 --- /dev/null +++ b/VisualC++/ExerciseBook/07.41/SqStack.h @@ -0,0 +1,66 @@ +/*========================= + * Õ»µÄ˳Ðò´æ´¢½á¹¹£¨Ë³ÐòÕ»£© + ==========================*/ + +#ifndef SQSTACK_H +#define SQSTACK_H + +#include +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* ºê¶¨Òå */ +#define STACK_INIT_SIZE 100 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ³õʼ·ÖÅäÁ¿ +#define STACKINCREMENT 10 // ˳ÐòÕ»´æ´¢¿Õ¼äµÄ·ÖÅäÔöÁ¿ + +/* ˳ÐòÕ»ÔªËØÀàÐͶ¨Òå */ +typedef int SElemType; + +// ˳ÐòÕ»ÔªËؽṹ +typedef struct { + SElemType* base; // Õ»µ×Ö¸Õë + SElemType* top; // Õ»¶¥Ö¸Õë + int stacksize; // µ±Ç°ÒÑ·ÖÅäµÄ´æ´¢¿Õ¼ä£¬ÒÔÔªËØΪµ¥Î» +} SqStack; + + +/* + * ³õʼ»¯ + * + * ¹¹ÔìÒ»¸ö¿ÕÕ»¡£³õʼ»¯³É¹¦Ôò·µ»ØOK£¬·ñÔò·µ»ØERROR¡£ + */ +Status InitStack(SqStack* S); + +/* + * ÅÐ¿Õ + * + * ÅжÏ˳ÐòÕ»ÖÐÊÇ·ñ°üº¬ÓÐЧÊý¾Ý¡£ + * + * ·µ»ØÖµ£º + * TRUE : ˳ÐòջΪ¿Õ + * FALSE: ˳ÐòÕ»²»Îª¿Õ + */ +Status StackEmpty(SqStack S); + +/* + * ¼ÆÊý + * + * ·µ»Ø˳ÐòÕ»°üº¬µÄÓÐЧԪËصÄÊýÁ¿¡£ + */ +int StackLength(SqStack S); + +/* + * ÈëÕ» + * + * ½«ÔªËØeѹÈëµ½Õ»¶¥¡£ + */ +Status Push(SqStack* S, SElemType e); + +/* + * ³öÕ» + * + * ½«Õ»¶¥ÔªËص¯³ö£¬²¢ÓÃe½ÓÊÕ¡£ + */ +Status Pop(SqStack* S, SElemType* e); + +#endif diff --git a/VisualC++/ExerciseBook/07.41/TestData_DN.txt b/VisualC++/ExerciseBook/07.41/TestData_DN.txt new file mode 100644 index 0000000..189ba76 --- /dev/null +++ b/VisualC++/ExerciseBook/07.41/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú13 +»¡Êý¡ú24 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾M£¬A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬N¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾M£¬A£¬1¡¿¡¾M£¬B£¬6¡¿¡¾M£¬D£¬3¡¿¡¾M£¬F£¬4¡¿¡¾M£¬G£¬3¡¿¡¾M£¬I£¬1¡¿¡¾A£¬C£¬6¡¿¡¾B£¬C£¬2¡¿¡¾D£¬C£¬7¡¿¡¾D£¬E£¬8¡¿¡¾D£¬J£¬6¡¿¡¾F£¬E£¬11¡¿¡¾F£¬H£¬5¡¿¡¾G£¬N£¬21¡¿¡¾G£¬H£¬10¡¿¡¾I£¬H£¬6¡¿¡¾H£¬J£¬4¡¿¡¾H£¬K£¬9¡¿¡¾K£¬J£¬9¡¿¡¾J£¬N£¬12¡¿¡¾J£¬E£¬3¡¿¡¾E£¬N£¬10¡¿¡¾H£¬C£¬4¡¿¡¾C£¬E£¬8¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.42/07.42.c b/VisualC++/ExerciseBook/07.42/07.42.c new file mode 100644 index 0000000..bfbc6c4 --- /dev/null +++ b/VisualC++/ExerciseBook/07.42/07.42.c @@ -0,0 +1,54 @@ +#include +#include "ALGraph.h" +#include "ShortestPaths.h" + +/* + * ʹÓÃDijkstraËã·¨¼ÆËã´Óµ¥Ô´¶¥µã³ö·¢µÄ×î¶Ì·¾¶ + */ +void Algo_7_42(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D); + + +int main(int argc, char* argv[]) { + ALGraph G; + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ ´´½¨²¢´òÓ¡ÎÞÏòͼ/Íø... \n"); + { + char* path[4]; + + path[0] = "TestData_DG.txt"; + path[1] = "TestData_DN.txt"; + path[2] = "TestData_UDG.txt"; + path[3] = "TestData_UDN.txt"; + + CreateGraph(&G, path); + PrintGraph(G); + printf("\n"); + } + + printf("¨€¨€¨€¨€¨€¨€¨€¨€ µÏ½Ü˹ÌØÀ­Ëã·¨Çóµ¥Ô´×î¶Ì·¾¶... \n"); + { + VertexType v0 = 'A'; + PathMatrix_DIJ P; + ShortPathTable_DIJ D; + + printf("Êä³ö´Ó¶¥µã %c µ½ÆäÓඥµãµÄ×î¶Ì·¾¶£º\n", v0); + Algo_7_42(G, LocateVex(G, v0), P, D); + printf("\n"); + } +} + + +/* + * ʹÓÃDijkstraËã·¨¼ÆËã´Óµ¥Ô´¶¥µã³ö·¢µÄ×î¶Ì·¾¶ + */ +void Algo_7_42(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D) { + + // ¡ï¡ï±ØÐëÊ×Ïȵ÷Óô˺¯Êý¼ÆËã¸÷¶¥µãÖ®¼äµÄ¹Øϵ + GetAdjs(G); + + // ×î¶Ì·¾¶Ëã·¨ + ShortestPath_DIJ(G, v0, P, D); + + // 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false + true + MultiByte + + + + + + + + + + + + + $(SolutionDir)\..\Status;$(IncludePath) + + + + Level3 + Disabled + + + true + $(SolutionDir)\..\Status\Status.lib;%(AdditionalDependencies) + Console + + + + + Level3 + MaxSpeed + true + true + + + true + true + true + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.42/07.42.vcxproj.filters b/VisualC++/ExerciseBook/07.42/07.42.vcxproj.filters new file mode 100644 index 0000000..9e302b6 --- /dev/null +++ b/VisualC++/ExerciseBook/07.42/07.42.vcxproj.filters @@ -0,0 +1,50 @@ + + + + + {4FC737F1-C7A5-4376-A066-2A32D752A2FF} + cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx + + + {93995380-89BD-4b04-88EB-625FBE52EBFB} + h;hpp;hxx;hm;inl;inc;xsd + + + {67DA6AB6-F800-4c08-8B7A-83BB121AAD01} + rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms + + + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + æºæ–‡ä»¶ + + + + + 头文件 + + + 头文件 + + + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + 资æºæ–‡ä»¶ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.42/07.42.vcxproj.user b/VisualC++/ExerciseBook/07.42/07.42.vcxproj.user new file mode 100644 index 0000000..ace9a86 --- /dev/null +++ b/VisualC++/ExerciseBook/07.42/07.42.vcxproj.user @@ -0,0 +1,3 @@ + + + \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.42/ALGraph.c b/VisualC++/ExerciseBook/07.42/ALGraph.c new file mode 100644 index 0000000..87ddb63 --- /dev/null +++ b/VisualC++/ExerciseBook/07.42/ALGraph.c @@ -0,0 +1,583 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#include "ALGraph.h" + +// ¼ÈëÊý¾ÝµÄÔ´Îļþ£»fpΪnullʱ£¬ËµÃ÷ÐèÒª´Ó¿ØÖÆ̨¼Èë +static FILE* fp = NULL; + +/* + * IncInfoָʾ¸Ãͼ/ÍøµÄ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + * Èç¹ûÆäÖµ²»Îª0£¬Ôò±íʾÎÞ¸½¼ÓÐÅÏ¢£¬·ñÔò£¬±íʾ´æÔÚ¸½¼ÓÐÅÏ¢¡£ + */ +Boolean IncInfo = FALSE; + +// ·ÃÎʱêÖ¾Êý×飬¼Ç¼·ÃÎʹýµÄ¶¥µã +static Boolean visited[MAX_VERTEX_NUM]; + +// º¯Êý±äÁ¿ +static Status (* VisitFunc)(VertexType e); + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]) { + int readFromConsole; // ÊÇ·ñ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý + int kind; + Status flag; + + printf("ÇëÊäÈëͼµÄÀàÐÍ(0-ÓÐÏòͼ ©¦ 1-ÓÐÏòÍø ©¦ 2-ÎÞÏòͼ ©¦ 3-ÎÞÏòÍø)£º"); + scanf("%d", &kind); + + // ÀàÐͲ»ºÏ¹æ + if(kind < 0 || kind > 3) { + return ERROR; + } + + // Èç¹ûûÓÐÎļþ·¾¶ÐÅÏ¢£¬Ôò´Ó¿ØÖÆ̨¶ÁÈ¡ÊäÈë + readFromConsole = (path == NULL) || strcmp(path[kind], "") == 0; + + // ÐèÒª´ÓÎļþ¶ÁÈ¡ + if(readFromConsole) { + (*G).kind = kind; // ¼Ç¼ͼ/ÍøµÄÀàÐÍ + } else { + // ´ò¿ªÎļþ£¬×¼±¸¶ÁÈ¡²âÊÔÊý¾Ý + fp = fopen(path[kind], "r"); + if(fp == NULL) { + return ERROR; + } + + // ¼ÈëͼµÄÀàÐÍ + ReadData(fp, "%d", &((*G).kind)); + } + + // Ëæ»ú´´½¨ÓÐÏòͼ/Íø»òÎÞÏòͼ/ÍøµÄÒ»ÖÖ + switch((*G).kind) { + case DG: + flag = CreateDG(G); + break; + case DN: + flag = CreateDN(G); + break; + case UDG: + flag = CreateUDG(G); + break; + case UDN: + flag = CreateUDN(G); + break; + default: + flag = ERROR; + break; + } + + if(fp != NULL) { + fclose(fp); + fp = NULL; + } + + return flag; +} + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòͼµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòͼµÄ»¡ÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo); // Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòͼÒÀ´Î¼Èë %d Ìõ»¡µÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÓÐÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÓÐÏòÍøµÄ»¡Êý£º"); + scanf("%d", &arcnum); + printf("¸ÃÓÐÏòÍøµÄ»¡ÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼È뻡Êý + ReadData(fp, "%d", &IncInfo);// Åжϻ¡ÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢(´Ë´¦Ó¦µ±°üº¬) + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÓÐÏòÍøÒÀ´Î¼Èë %d Ìõ»¡(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼È뻡µÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ»¡¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼È뻡µÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈ뻡 + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòͼµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòͼµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòͼµÄ±ßÉÏÊÇ·ñ°üº¬ÆäËû¸½¼ÓÐÅÏ¢(0-²»°üº¬©¦1-°üº¬)£º"); + scanf("%d", &IncInfo); + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòͼÒÀ´Î¼Èë %d Ìõ±ßµÄÐÅÏ¢£¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢ + Input(*G, &info); + + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G) { + int i, k; + int vexnum, arcnum; + VertexType v1, v2; + InfoType* info = NULL; + + (*G).vexnum = (*G).arcnum = 0; + + if(fp == NULL) { + printf("ÇëÊäÈëÎÞÏòÍøµÄ¶¥µãÊý£º"); + scanf("%d", &vexnum); + printf("ÇëÊäÈëÎÞÏòÍøµÄ±ßÊý£º"); + scanf("%d", &arcnum); + printf("¸ÃÎÞÏòÍøµÄ±ßÉϱØÐë°üº¬ÆäËû¸½¼ÓÐÅÏ¢£¬ÒòΪ´Ë´¦µÄȨֵÐèÒª´æ´¢µ½¸½¼ÓÐÅÏ¢ÖÐ...\n"); + IncInfo = 1; + + // ¼È붥µã¼¯ + printf("Çë¼Èë %d ¸ö¶¥µã£¬²»Í¬¶¥µãÖ®¼äÓÿոñ¸ô¿ª£º", vexnum); + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(stdin); + scanf("%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } else { + ReadData(fp, "%d", &vexnum); // ¼È붥µãÊý + ReadData(fp, "%d", &arcnum); // ¼Èë±ßÊý + ReadData(fp, "%d", &IncInfo);// ÅжϱßÉÏÊÇ·ñ°üº¬¸½¼ÓÐÅÏ¢ + IncInfo = 1; // Ç¿Öƽ«È¨ÖµÂ¼Èëµ½¸½¼ÓÐÅÏ¢ÖÐ + + // ¼È붥µã¼¯ + for(i = 0; i < vexnum; i++) { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö"¿É¶Á"·ûºÅ + skipBlank(fp); + ReadData(fp, "%c", &((*G).vertices[i].data)); + (*G).vertices[i].firstarc = NULL; + (*G).vexnum++; + } + } + + // ½öÔÚ¿ØÖÆ̨¼ÈëÐÅϢʱÊä³ö´ËÌáʾ + if(fp == NULL && arcnum != 0) { + printf("ÇëΪÎÞÏòÍøÒÀ´Î¼Èë %d Ìõ±ß(´øȨֵ)µÄÐÅÏ¢£¬¶¥µã¼°È¨ÖµÖ®¼äÓÿոñ¸ô¿ª£º\n", arcnum); + } + + // ¼Èë±ßµÄÐÅÏ¢ + for(k = 0; k < arcnum; k++) { + if(fp == NULL) { + printf("µÚ %2d Ìõ±ß¼°ÆäȨֵ£º", k + 1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v1); + skipBlank(stdin); // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + scanf("%c", &v2); + } else { + // Ìø¹ý¿Õ°×£¬Ñ°ÕÒÏÂÒ»¸ö¿É¶Á·ûºÅ + skipBlank(fp); + ReadData(fp, "%c%c", &v1, &v2); + } + + // Èç¹ûÐèҪ¼Èë±ßµÄÆäËû¸½¼ÓÐÅÏ¢ + if(IncInfo) { + // ×îºó¼È븽¼ÓÐÅÏ¢(´Ë´¦ÐèҪ¼ÈëÍøµÄȨֵ) + Input(*G, &info); + } + + // ²åÈë±ß + InsertArc(G, v1, v2, info); + } + + // ´ÓÎļþÖжÁÈ¡Êý¾Ýʱ£¬×îºóÆäʵӦµ±ÅжÏÒ»ÏÂÊÇ·ñ¶Áµ½ÁË×ã¹»µÄÐÅÏ¢ + return OK; +} + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info) { + int weight; + + // ÔÚ"Íø"µÄÇéÐÎÏÂÐèҪ¼ÈëȨֵÐÅÏ¢ + if(G.kind == DN || G.kind == UDN) { + *info = (InfoType*) malloc(sizeof(InfoType)); + + if(fp == NULL) { + scanf("%d", &weight); + } else { + ReadData(fp, "%d", &weight); + } + + (*info)->weight = weight; + } +} + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u) { + int i; + + for(i = 0; i < G.vexnum; i++) { + if(G.vertices[i].data == u) { + return i; + } + } + + return -1; +} + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v) { + if(v < 0 || v >= G.vexnum) { + return '\0'; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + return G.vertices[v].data; +} + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info) { + ArcNode* p = (ArcNode*) malloc(sizeof(ArcNode)); + if(!p) { + exit(OVERFLOW); + } + + p->adjvex = adjvex; + + p->nextarc = nextarc; + + p->info = info; + + return p; +} + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...) { + int tail, head, k, count; + ArcNode* r; + ArcNode* pre; + Boolean overlay = FALSE; // ÊÇ·ñΪ¸²¸ÇÌí¼Ó + InfoType* info = NULL; // ±ß/»¡µÄ¸½¼ÓÐÅÏ¢ + va_list ap; + + tail = LocateVex(*G, v); // »ñÈ¡¶¥µãvÔÚ¶¥µã¼¯ÖеÄλÖà + if(tail == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + head = LocateVex(*G, w); // »ñÈ¡¶¥µãwÔÚ¶¥µã¼¯ÖеÄλÖà + if(head == -1) { + return ERROR; // Ö¸¶¨µÄ¶¥µã²»´æÔÚ + } + + // ¾Ü¾ø»· + if(tail == head) { + return ERROR; + } + + // Èç¹û±ß/»¡ÉÏ´æÔÚ¸½¼ÓÐÅÏ¢ + if(IncInfo) { + va_start(ap, w); // ÔÚwºó²éѯÊ׸ö¿É±ä²ÎÊý + info = va_arg(ap, InfoType*); // »ñÈ¡¸½¼ÓÐÅÏ¢ + va_end(ap); + } + + /* ½ÓÏÂÀ´£¬ÐèÒª²éÕÒºÏÊʵIJåÈëλÖà */ + + for(count = 0; count < 2; count++) { + pre = NULL; + // Ö¸ÏòÒÔtailΪβµÄÊ×Ìõ±ß/»¡ + r = G->vertices[tail].firstarc; + while(r != NULL && r->adjvex < head) { + pre = r; + r = r->nextarc; + } + + // Óöµ½ÁËÏàͬλÖõĽáµã + if(r != NULL && r->adjvex == head) { + r->info = info; // ¸´Óøýáµã + overlay = TRUE; // ·¢ÉúÁ˸²¸Ç + } else { + if(pre == NULL) { + G->vertices[tail].firstarc = newArcNodePtr(head, r, info); + } else { + pre->nextarc = newArcNodePtr(head, r, info); + } + } + + // Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬ÐèÒª¿¼ÂǶԳÆÐÔ + if((G->kind == UDG || G->kind == UDN) && tail != head) { + // µßµ¹iºÍj + k = tail; + tail = head; + head = k; + } else { + break; // Èç¹ûÊÇÓÐÏòµÄ£¬¿ÉÒÔ½áÊøÁË + } + } + + // ÔڷǸ²¸ÇµÄÇéÐÎÏ£¬²Å¿¼ÂǸüбß/»¡µÄÊýÁ¿ + if(!overlay) { + (*G).arcnum++; // ²»ÂÛÓÐÏòÎÞÏò£¬±ß/»¡ÊýÖ»ÔöÒ» + } + + return OK; +} + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G) { + int i; + ArcNode* p; + + if(G.vexnum == 0) { + printf("¿Õͼ£¬ÎÞÐè´òÓ¡£¡\n"); + return; + } + + printf("µ±Ç°Í¼/Íø°üº¬ %2d ¸ö¶¥µã£¬ %2d Ìõ±ß/»¡...\n", G.vexnum, G.arcnum); + + for(i = 0; i < G.vexnum; i++) { + printf("%c ===> ", G.vertices[i].data); + + p = G.vertices[i].firstarc; + while(p != NULL) { + if(IncInfo == 0) { + printf("%c ", G.vertices[p->adjvex].data); + + // ¶ÔÓÚÍø£¬»á´ÓÆ丽¼ÓÐÅÏ¢ÖлñÈ¡µ½È¨Öµ + } else { + printf("%c[%2d] ", G.vertices[p->adjvex].data, p->info->weight); + } + + p = p->nextarc; + + if(p != NULL) { + printf("- "); + } + } + + printf("\n"); + } +} diff --git a/VisualC++/ExerciseBook/07.42/ALGraph.h b/VisualC++/ExerciseBook/07.42/ALGraph.h new file mode 100644 index 0000000..385d058 --- /dev/null +++ b/VisualC++/ExerciseBook/07.42/ALGraph.h @@ -0,0 +1,150 @@ +/*================== + * ͼµÄÁÚ½Ó±í´æ´¢±íʾ + ===================*/ + +#ifndef ALGRAPH_H +#define ALGRAPH_H + +#include +#include // Ìṩmemset¡¢strcmp Ô­ÐÍ +#include // Ìṩºêva_list¡¢va_start¡¢va_arg¡¢va_end +#include // Ìṩmalloc¡¢realloc¡¢free¡¢exitÔ­ÐÍ +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// + +/* + * ×¢£º + * + * ͨ³£À´½²£¬ÎÞȨͼ±»¼ò³ÆΪ¡¾Í¼¡¿£¬ÓÐȨͼ±»¼ò³ÆΪ¡¾Íø¡¿¡£ + * ÎÞÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾±ß¡¿£¬ÓÐÏòͼ/ÍøÖеĶ¥µã¹Øϵ±»³ÆΪ¡¾»¡¡¿£¬²¢Çø·Ö»¡Í·Ó뻡β¡£ + * ʵ¼Ê±íÊöÖУ¬Î´±Ø»áÑϸñ×ñÊØÒÔÉÏÃüÃû¡£ + * + * µ±Ç°½á¹¹Êʺϴ洢±ß/»¡±È½ÏÏ¡ÊèµÄͼ/Íø¡£ + * + * ¡ï ²åÈë±ß/»¡µÄÐÅϢʱ£¬ÕâÀïµÄʵÏÖÊÇ°´"ÉýÐò"²åÈëµÄ£¬ÕâʹµÃ²åÈëµÄ»¡ÊÇ°´"ÉýÐò"ÅÅÁеġ£ + */ + + +/* ºê¶¨Òå */ +#define MAX_VERTEX_NUM 26 // ×î´ó¶¥µã¸öÊý + + +// ͼµÄÀàÐÍ +typedef enum { + DG, // 0-ÓÐÏòͼ + DN, // 1-ÓÐÏòÍø(´øȨֵ) + UDG, // 2-ÎÞÏòͼ + UDN // 3-ÎÞÏòÍø(´øȨֵ) +} GraphKind; + +// ¶¥µãÀàÐÍ +typedef char VertexType; + +// ±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ +typedef struct { + /* + * ×¢£º + * ½Ì²ÄÖиø³öµÄ½á¹¹Ö»¿¼ÂÇÁËÎÞȨͼ£¬¶øû¿¼ÂÇÓÐȨͼ(Íø)¡£ + * ÕâÀïΪÁË°Ñ¡°Íø¡±µÄÇéÐÎÒ²¿¼ÂǽøÈ¥£¬ÌØÔÚ¸½¼ÓÐÅÏ¢ÖÐÔö¼ÓÁË"ȨÖØ"ÊôÐÔ¡£ + */ + int weight; +} InfoType; + +/* ±ß/»¡½áµã */ +typedef struct ArcNode { + int adjvex; // ¸Ã»¡ËùÖ¸ÏòµÄ¶¥µãµÄλÖà + struct ArcNode* nextarc; // Ö¸ÏòÏÂÒ»Ìõ»¡µÄÖ¸Õë + InfoType* info; // »¡µÄ¸½¼ÓÐÅÏ¢£¬Í¨³£ºöÂÔ +} ArcNode; + +// ÿ¸öÁ´±íµÄÍ·½áµã +typedef struct VNode { + VertexType data; // ¶¥µãÐÅÏ¢ + ArcNode* firstarc; // Ö¸ÏòµÚÒ»ÌõÒÀ¸½¸Ã¶¥µãµÄ»¡µÄÖ¸Õë +} VNode; + +/* ͼµÄÁÚ½Ó±í´æ´¢±íʾÀàÐͶ¨Òå */ +typedef struct { + VNode vertices[MAX_VERTEX_NUM]; // ÁÚ½Ó±í + int vexnum, arcnum; // ͼ/ÍøµÄ¶¥µãÊýºÍ»¡Êý + GraphKind kind; // ͼµÄÀàÐͱêÖ¾ +} ALGraph; + + +// ±ß/»¡ÉÏÊÇ·ñ´æÔÚ¸½¼ÓÐÅÏ¢ +extern Boolean IncInfo; + + +/* + * ´´½¨ + * + *¡¾±¸×¢¡¿ + * + * ½Ì²ÄÖÐĬÈÏ´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý¡£ + * ÕâÀïΪÁË·½±ã²âÊÔ£¬±ÜÃâÿ´ÎÔËÐж¼ÊÖ¶¯ÊäÈëÊý¾Ý£¬ + * Òò¶øÔÊÐíÑ¡Ôñ´ÓÔ¤ÉèµÄÎļþpathÖжÁÈ¡²âÊÔÊý¾Ý¡£ + * + * Èç¹ûÐèÒª´Ó¿ØÖÆ̨¶ÁÈ¡Êý¾Ý£¬ÔòpathΪNULL£¬»òpath[kind]Ϊ""¡£ + * Èç¹ûÐèÒª´ÓÎļþÖжÁÈ¡Êý¾Ý£¬ÔòÐèÒªÔÚpathÖÐÌîдÎļþÃûÐÅÏ¢¡£ + */ +Status CreateGraph(ALGraph* G, char* path[]); + +/* + * ¹¹ÔìÓÐÏòͼ + */ +static Status CreateDG(ALGraph* G); + +/* + * ¹¹ÔìÓÐÏòÍø + */ +static Status CreateDN(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòͼ + */ +static Status CreateUDG(ALGraph* G); + +/* + * ¹¹ÔìÎÞÏòÍø + */ +static Status CreateUDN(ALGraph* G); + +/* + * ¼Èë±ß/»¡µÄÏà¹Ø¸½¼ÓÐÅÏ¢ + */ +static void Input(ALGraph G, InfoType** info); + +/* + * ²éÕÒ + * + * ·µ»Ø¶¥µãuÔÚͼ/ÍøÖеÄλÖà + */ +int LocateVex(ALGraph G, VertexType u); + +/* + * È¡Öµ + * + * ·µ»ØË÷Òýv´¦µÄ¶¥µãÖµ + */ +VertexType GetVex(ALGraph G, int v); + +/* + * ¹¹ÔìÒ»¸ö±ß/»¡½áµã(½öÏÞÄÚ²¿Ê¹ÓÃ) + */ +static ArcNode* newArcNodePtr(int adjvex, ArcNode* nextarc, InfoType* info); + +/* + * ²åÈë±ß/»¡ + * + * Èç¹ûµ±Ç°Í¼/ÍøÊÇÎÞÏòµÄ£¬Ôò²åÈëÒ»Ìõ»¡ÐèÒªÔö¼ÓÁ½¸ö¶¥µã¹Øϵ£¬µ«»¡µÄÊýÁ¿Ö»ÔöÒ»¡£ + * ¶ÔÓÚͼ/ÍøÀ´Ëµ£¬¿ÉÒÔÔڿɱä²ÎÊýÖÐÁгö±ß/»¡µÄ¸½¼ÓÐÅÏ¢¡£ + * + * ×¢£º´Ë´¦½ÓÊյIJÎÊýÓëMGraphÓÐЩ²»Ò»Ñù£ºÍøµÄ¸½¼ÓÐÅÏ¢Öаüº¬Á˸÷Ìõ±ß/»¡µÄȨֵ¡£ + */ +Status InsertArc(ALGraph* G, VertexType v, VertexType w, ...); + +/* + * ÒÔͼÐλ¯ÐÎʽÊä³öµ±Ç°½á¹¹ + */ +void PrintGraph(ALGraph G); + +#endif diff --git a/VisualC++/ExerciseBook/07.42/ShortestPaths.c b/VisualC++/ExerciseBook/07.42/ShortestPaths.c new file mode 100644 index 0000000..cfc6dc4 --- /dev/null +++ b/VisualC++/ExerciseBook/07.42/ShortestPaths.c @@ -0,0 +1,334 @@ +/*==================== + * ×î¶Ì·¾¶Ëã·¨ + * + * °üº¬Ëã·¨: 7.15¡¢7.16 + =====================*/ + +#include "ShortestPaths.h" + +/* + * ´æ´¢¸÷¶Ô¶¥µãÖ®¼äµÄ¹Øϵ¡£ + * + * ¶ÔÓÚͼÀ´Ëµ£¬´æ´¢0±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨£¬´æ´¢1±íʾÁ½¶¥µãÖ±½ÓÁ¬Í¨£» + * ¶ÔÓÚÍøÀ´Ëµ£¬´æ´¢µÄÊǶ¥µãÖ®¼äµÄȨֵ£¬È¨ÖµÎªINFINITE±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨¡£ + */ +static int adjs[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; + + +/* + * Ó¦µ±ÔÚÖ´ÐеϽÜ˹ÌØÀ­Ë㷨֮ǰ±»µ÷Óã¬ÓÃÀ´¼ÆËã¸÷¶¥µãÖ®¼äµÄ¹Øϵ¡£ + */ +void GetAdjs(ALGraph G) { + int i, j; + ArcNode* p; + + for(i = 0; i < G.vexnum; i++) { + // ³õʼ»¯¶¥µã¹Øϵ + for(j = 0; j < G.vexnum; j++) { + // Èç¹ûÊÇÍø£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DN || G.kind == UDN) { + adjs[i][j] = INFINITE; + } + + // Èç¹ûÊÇͼ£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DG || G.kind == UDG) { + adjs[i][j] = 0; + } + } + + // ´¦ÀíÖ±½ÓÁ¬½ÓµÄ¶¥µã + for(p = G.vertices[i].firstarc; p != NULL; p = p->nextarc) { + // Èç¹ûÊÇÍø£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DN || G.kind == UDN) { + adjs[i][p->adjvex] = p->info->weight; + } + + // Èç¹ûÊÇͼ£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DG || G.kind == UDG) { + adjs[i][p->adjvex] = 1; + } + } + } +} + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.15 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * µÏ½Ü˹ÌØÀ­(Dijkstra)Ëã·¨Çóµ¥Ô´×î¶Ì·¾¶ + * + * @param G ´ý±éÀúµÄͼ¡£ + * @param v0 µ¥Ô´×î¶Ì·¾¶µÄÆðµã¡£ + * @param P ´æ´¢´Óv0µ½ÆäÓà¸÷¶¥µãµÄ×î¶Ì·¾¶ÐÅÏ¢¡£ + * P[j][k]==TRUE´ú±í´Óv0->jµÄ×î¶Ì·¾¶»á¾­¹ý¶¥µãk£»·ñÔò£¬´ú±í²»¾­¹ý¡£ + * ×¢£º + * 1.¸ÃÊý×éÖ»·´Ó³Á˶¥µãµÄ´æÔÚÐÔ£¬¶øδ·´Ó³¶¥µãÔÚ·¾¶ÉϵĴÎÐò¡£ + * 2.Èç¹ûÁ½¶¥µãÖ®¼äÓжàÌõ×î¶Ì·¾¶£¬Ö»»áÑ¡È¡Ò»Ìõ + * @param D ´æ´¢´Óv0µ½ÆäÓà¸÷¶¥µãµÄ×î¶Ì·¾¶´ú¼Û£¬ÔÚͼÖУ¬¸Ã´ú¼ÛÊDz½³¤ºÍ£¬ÔÚÍøÖУ¬¸Ã´ú¼ÛÊÇȨֵºÍ¡£ + */ +void ShortestPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D) { + int v, w, i, j, min; + Status final[MAX_VERTEX_NUM]; // ÓÃÀ´±ê¼Çµ±Ç°½áµãÊÇ·ñÒѾ­·ÃÎʹý£¬¼´ÊÇ·ñÒѼÓÈë×î¶Ì·¾¶ + + /* + * Ô¤ÉèÒÑ·ÃÎʹýµÄ¶¥µã¼¯ÎªS£¬Î´·ÃÎʹýµÄ¶¥µã¼¯ÎªV-S + * ³õʼʱ£¬¶¥µã¼¯SΪ¿Õ£¬¶ø¶¥µã¼¯V-SΪËùÓж¥µãµÄ¼¯ºÏV + */ + for(v = 0; v < G.vexnum; v++) { + // ³õʼʱ£¬ËùÓж¥µã¾ùδ·ÃÎʹý + final[v] = FALSE; + + // ³õʼ»¯v0->vµÄ·¾¶´ú¼Û + D[v] = adjs[v0][v]; + + // Ô¤Éè´Óv0->v²»ÐèÒª¾­¹ý¶¥µãw£¬¼´Éè¿Õ·¾¶ + for(w = 0; w < G.vexnum; w++) { + P[v][w] = FALSE; + } + + // Èç¹ûÊÇÍø£¬Ö»×ß´Ë·ÖÖ§(½Ì²ÄÖ»´¦ÀíÁË´ËÖÖÇéÐÎ) + if(G.kind == DN || G.kind == UDN) { + // Èç¹ûv0->vÖ±½ÓÁ¬Í¨ + if(D[v] < INFINITE) { + P[v][v0] = TRUE; // ָʾv0->v±Ø½«¾­¹ý¶¥µãv0(¶ËµãÒ») + P[v][v] = TRUE; // ָʾv0->v±Ø½«¾­¹ý¶¥µãv(¶Ëµã¶þ) + } + } + + // Èç¹ûÊÇͼ£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DG || G.kind == UDG) { + // Èç¹ûv0µ½vÖ±½ÓÁ¬Í¨ + if(D[v] != 0) { + P[v][v0] = TRUE; // ָʾv0->v±Ø½«¾­¹ý¶¥µãv0(¶ËµãÒ») + P[v][v] = TRUE; // ָʾv0->v±Ø½«¾­¹ý¶¥µãv(¶Ëµã¶þ) + } + } + } + + // ³õʼ»¯£¬v0½øÈ붥µã¼¯S + D[v0] = 0; + final[v0] = TRUE; + + /* + * ¿ªÊ¼Ö÷Ñ­»·£¬±éÀúÆäÓàG1.vexnum-1¸ö¶¥µã¡£ + * ÿ´ÎÇóµÃv0µ½Ä³¸ö¶¥µãµÄ×î¶Ì·¾¶£¬Ôò½«¸Ã¶¥µã´Ó¶¥µã¼¯V-SÖÐŲµ½¶¥µã¼¯SÖÐ + */ + for(i = 1; i < G.vexnum; i++) { + /* + * ÿ´Î½øÈëÑ¡È¡×î½ü¶¥µã֮ǰ£¬¶¼Ó¦µ±½«vÖØÖÃΪһ¸öÕý³£¶¥µãÐòºÅÖ®ÍâµÄÖµ + * (½Ì²ÄÖÐÎ޴˲½Ö裬ÐèÒª²¹ÉÏ£¬·ñÔò»á½øÐкܶà´ÎÎÞЧµÄÑ­»·) + */ + v = -1; + + // ¼Ç¼¸÷¶¥µãÓ붥µãv0µÄ×î¶Ì¾àÀë + min = INFINITE; + + // ±éÀú¶¥µã¼¯V-S(ËùÓÐδ¼ÓÈë·¾¶µÄ¶¥µã)£¬´ÓÖÐÑ¡³ö¾àÀëv0¸ü½üµÄ¶¥µã + for(w = 0; w < G.vexnum; w++) { + // Èç¹ûw¶¥µãÔÚV-SÖÐ(δ¼ÓÈë×î¶Ì·¾¶) + if(!final[w]) { + // ¶ÔÓÚͼÀ´Ëµ£¬¾àÀëΪ0Òâζ×ÅÁ½¶¥µã²»Á¬Í¨ + if((G.kind == DG || G.kind == UDG) && D[w] == 0) { + continue; + } + + // Èç¹ûv0µ½wµÄ¾àÀëD[w]СÓÚµ±Ç°Ô¤ÉèµÄ×îС¾àÀ룬ÔòÐèÒª¸üж¥µãºÍ¾àÀëÐÅÏ¢ + if(D[w] < min) { + v = w; // ¼ÇÏÂδ·ÃÎʵĶ¥µãÖоàÀëv0¸ü½üµÄ¶¥µã£¬»òÕß¿ÉÒÔÀí½âΪ¼Ç϶¥µã¼¯V-SÖоàÀ붥µã¼¯S¸ü½üµÄ¶¥µã + min = D[w]; // ¼Çϸü½üµÄ¾àÀë + } + } + } + + // ÕÒµ½Á˸ü½üµÄ¶¥µã + if(v != -1) { + // ½«¶¥µã¼¯V-SÖе±Ç°¾àÀëv0¶¥µã×î½üµÄv¼ÓÈëS¼¯ + final[v] = TRUE; + } else { + // Èç¹ûûÕÒµ½¸ü½üµÄ¶¥µã£¬ËµÃ÷¶¥µãv0ÓëV-SÖеÄÊ£ÓඥµãûÓÐÁ¬½Ó£¬´Ëʱ¿ÉÒÔÖ±½Ó½áÊø³ÌÐòÁË + return; + } + + // ÒÔÉÏÊöµÄ¶¥µãv×öÌø°å£¬¸üж¥µãv0µ½V-S¼¯ÖÐÆäÓàµã¶¥µãµÄ×î¶Ì·¾¶ + for(w = 0; w < G.vexnum; w++) { + // Èç¹ûÊÇÍø£¬Ö»×ß´Ë·ÖÖ§(½Ì²ÄÖ»´¦ÀíÁË´ËÖÖÇéÐÎ) + if(G.kind == DN || G.kind == UDN) { + /* + * ΪÁ˱ÜÃâÒç³ö£¬ÐèҪȷ±£adjs[v][w]²»ÎªINFINITE¡£ + * ´Ë´¦Æäʵû±ØÒªÅжÏmin!=INFINITE£¬ÒòΪÈç¹ûûÕÒµ½¸ü½üµÄ¶¥µãʱ£¬ÉÏÃæ¾ÍÌáÇ°·µ»ØÁË¡£ + * (½Ì²ÄµÄαÂëÖÐδ´¦ÀíÒç³ö£¬¹ÊÐèÒª×ÔÐÐÌí¼Ó) + */ + if(min != INFINITE && adjs[v][w] != INFINITE) { + // ¸üж¥µã¼¯Sµ½¶¥µã¼¯V-SµÄ×î½ü¾àÀë + if(!final[w] && (min + adjs[v][w] < D[w])) { + // ¸üоàÀ룺ÓÉÓÚ¶¥µãv0->w¾­ÓÉvºó»á»ñµÃ¸ü¶ÌµÄ¾àÀ룬¹Ê´Ë´¦ÐèÒª¼ÇϸþàÀë + D[w] = min + adjs[v][w]; + + /* ¸üз¾¶£ºP[w] = P[v] + [w] */ + + // ÏȽ«v0->wµÄ·¾¶¸üÐÂΪv0->jµÄ·¾¶ + for(j = 0; j < G.vexnum; j++) { + P[w][j] = P[v][j]; + } + + // ÔÙ½«wÌí¼Óµ½v0->wµÄ·¾¶ÖÐ + P[w][w] = TRUE; + } + } + } + + // Èç¹ûÊÇͼ£¬Ö»×ß´Ë·ÖÖ§ + if(G.kind == DG || G.kind == UDG) { + // ¸üж¥µã¼¯Sµ½¶¥µã¼¯V-SµÄ×î½ü¾àÀë + if(!final[w] && adjs[v][w] != 0 && D[w] == 0) { + // ¸üоàÀ룺ÓÉÓÚ¶¥µãv0->w¾­ÓÉvºó»á»ñµÃ¸ü¶ÌµÄ¾àÀ룬¹Ê´Ë´¦ÐèÒª¼ÇϸþàÀë + D[w] = D[v] + 1; // ͼÖÐÏàÁÚ¶¥µã²½³¤Îª1 + + /* ¸üз¾¶£ºP[w] = P[v] + [w] */ + + // ÏȽ«v0->wµÄ·¾¶¸üÐÂΪv0->jµÄ·¾¶ + for(j = 0; j < G.vexnum; j++) { + P[w][j] = P[v][j]; + } + + // ÔÙ½«wÌí¼Óµ½v0->wµÄ·¾¶ÖÐ + P[w][w] = TRUE; + } + } + } + } +} + +/* + * ´òӡʹÓõϽÜ˹ÌØÀ­(Dijkstra)Ëã·¨ÇóÈ¡µÄµ¥Ô´×î¶Ì·¾¶ + */ +void PrintPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D) { + int j; + + // ±éÀúËùÓз¾¶ + for(j = 0; j < G.vexnum; j++) { + if(P[j][v0] == FALSE) { + printf("%c µ½ %c Ö®¼äûÓÐͨ·\n", GetVex(G, v0), GetVex(G, j)); + continue; + } + + printf("%c µ½ %c Ö®¼äµÄ×î¶Ì¾àÀëΪ%2d£¬Æä×î¶Ì·¾¶Îª£º", GetVex(G, v0), GetVex(G, j), D[j]); + + /* + * ½«v0->jÖ®¼äµÄÎÞÐò¶¥µãÅÅÁгÉÒ»ÌõÓÐÐò·¾¶ºó´òÓ¡ + * P[i]ָʾv0->jÕâÌõ·¾¶ÉϾ­¹ýµÄ¶¥µã + */ + PrintPath(G, v0, j, P[j]); + } +} + +/* + * ´òÓ¡´Óaµ½bµÄ·¾¶£¬¸Ã·¾¶µÄ¶¥µãÐÅϢλÓÚPÖÐ + */ +static void PrintPath(ALGraph G, int a, int b, Boolean P[MAX_VERTEX_NUM]) { + int i; + int vexs[MAX_VERTEX_NUM + 1]; + int path[MAX_VERTEX_NUM + 1]; + + vexs[0] = 0; + + // »ñÈ¡v0->iÕâÌõ;¾¶ÉϵÄËùÓж¥µã£¬¿ÉÄÜÊÇÎÞÐòµÄ + for(i = 0; i < G.vexnum; i++) { + if(P[i] == TRUE) { + vexs[0]++; + vexs[vexs[0]] = i; + } + } + + // Ö»ÓÐÁ½¸ö¶¥µãµÄÇéÐÎÏ¿ìËÙ´¦Àí + if(vexs[0] == 2) { + path[0] = 2; + path[1] = a; + path[2] = b; + goto print; + } + + // Ö»ÓÐÈý¸ö¶¥µãµÄÇéÐÎÏ¿ìËÙ´¦Àí + if(vexs[0] == 3) { + path[0] = 3; + path[1] = a; + for(i = 1; i <= vexs[0]; i++) { + if(vexs[i] != a && vexs[i] != b) { + path[2] = vexs[i]; + break; + } + } + path[3] = b; + goto print; + } + + path[0] = 1; + path[1] = a; + + for(i = 1; i <= vexs[0]; i++) { + if(vexs[i] == a) { + vexs[i] = -1; + break; + } + } + + Find(G, a, b, vexs, path); + +print: + // ´òÓ¡ÅÅÁкõÄ·¾¶ + for(i = 1; i <= path[0]; i++) { + printf("%c ", GetVex(G, path[i])); + } + + printf("\n"); +} + +/* + * ÀûÓùã¶ÈÔ¤ÏÈËÑË÷ÕÒµ½Ò»Ìõ´Ópreµ½bµÄ·¾¶£¬¸Ã·¾¶ÉÏ·¹ýµÄËùÓж¥µãλÓÚvexsÖУ¬ÕÒ³öµÄ·¾¶´æ´¢µ½pathÖÐ + */ +static Status Find(ALGraph G, int pre, int b, int vexs[MAX_VERTEX_NUM + 1], int path[MAX_VERTEX_NUM + 1]) { + int i; + int tmp; + Status s; + + for(i = 1; i <= vexs[0]; i++) { + // ÒѼÓÈ뵽·¾¶ + if(vexs[i] == -1) { + continue; + } + + // ²»Á¬Í¨ + if(((G.kind == DN || G.kind == UDN) && adjs[pre][vexs[i]] == INFINITE) + || ((G.kind == DG || G.kind == UDG) && adjs[pre][vexs[i]] == 0)) { + continue; + } + + path[0]++; + path[path[0]] = vexs[i]; + + // Óöµ½ÖÕµã + if(vexs[i] == b) { + // ÕÒµ½ÁË×î¶Ì·¾¶ + if(path[0] == vexs[0]) { + return OK; + } else { + path[0]--; + continue; + } + } + + tmp = vexs[i]; + vexs[i] = -1; + + s = Find(G, tmp, b, vexs, path); + + if(s == OK) { + return OK; + } else { + // »Ö¸´¸Ã¶¥µã£¬ÒÔ±ãºóÐøÖØÐÂËÑË÷ + vexs[i] = tmp; + path[0]--; + } + } + + return ERROR; +} diff --git a/VisualC++/ExerciseBook/07.42/ShortestPaths.h b/VisualC++/ExerciseBook/07.42/ShortestPaths.h new file mode 100644 index 0000000..d28d204 --- /dev/null +++ b/VisualC++/ExerciseBook/07.42/ShortestPaths.h @@ -0,0 +1,59 @@ +/*==================== + * ×î¶Ì·¾¶Ëã·¨ + * + * °üº¬Ëã·¨: 7.15¡¢7.16 + =====================*/ + +#ifndef SHORTESTPATHS_H +#define SHORTESTPATHS_H + +#include +#include +#include "Status.h" //**¡ø01 Ð÷ÂÛ**// +#include "ALGraph.h" //**¡ø07 ͼ**// + +// ȨֵµÄ×î´óÖµ£¬ÓÃÔÚÍøÖУ¬±íʾÁ½¶¥µã²»Ö±½ÓÁ¬Í¨ +#define INFINITE INT_MAX + + +// DijkstraËã·¨ÖеÄ×î¶Ì·¾¶¾ØÕó£¬ÊÇÒ»¸ö¶þάÊý×é +typedef Boolean PathMatrix_DIJ[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; +// DijkstraËã·¨ÖеÄ×î¶Ì·¾¶´ú¼Û£¬¸Ã´ú¼Û¿ÉÄÜÊDz½³¤ºÍ£¬Ò²¿ÉÄÜÊÇȨֵºÍ +typedef int ShortPathTable_DIJ[MAX_VERTEX_NUM]; + + +/* + * Ó¦µ±ÔÚÖ´ÐеϽÜ˹ÌØÀ­Ë㷨֮ǰ±»µ÷Óã¬ÓÃÀ´¼ÆËã¸÷¶¥µãÖ®¼äµÄ¹Øϵ¡£ + */ +void GetAdjs(ALGraph G); + +/* + * ¨€¨€¨€¨€¨€¨€¨€¨€ Ëã·¨7.15 ¨€¨€¨€¨€¨€¨€¨€¨€ + * + * µÏ½Ü˹ÌØÀ­(Dijkstra)Ëã·¨Çóµ¥Ô´×î¶Ì·¾¶ + * + * @param G ´ý±éÀúµÄͼ¡£ + * @param v0 µ¥Ô´×î¶Ì·¾¶µÄÆðµã¡£ + * @param P ´æ´¢´Óv0µ½ÆäÓà¸÷¶¥µãµÄ×î¶Ì·¾¶ÐÅÏ¢¡£ + * P[j][k]==TRUE´ú±í´Óv0->jµÄ×î¶Ì·¾¶»á¾­¹ý¶¥µãk£»·ñÔò£¬´ú±í²»¾­¹ý¡£ + * ×¢£º¸ÃÊý×éÖ»·´Ó³Á˶¥µãµÄ´æÔÚÐÔ£¬¶øδ·´Ó³¶¥µãÔÚ·¾¶ÉϵĴÎÐò¡£ + * @param D ´æ´¢´Óv0µ½ÆäÓà¸÷¶¥µãµÄ×î¶Ì·¾¶´ú¼Û£¬ÔÚͼÖУ¬¸Ã´ú¼ÛÊDz½³¤ºÍ£¬ÔÚÍøÖУ¬¸Ã´ú¼ÛÊÇȨֵºÍ¡£ + */ +void ShortestPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D); + +/* + * ´òӡʹÓõϽÜ˹ÌØÀ­(Dijkstra)Ëã·¨ÇóÈ¡µÄµ¥Ô´×î¶Ì·¾¶ + */ +void PrintPath_DIJ(ALGraph G, int v0, PathMatrix_DIJ P, ShortPathTable_DIJ D); + +/* + * ´òÓ¡´Óaµ½bµÄ·¾¶£¬¸Ã·¾¶µÄ¶¥µãÐÅϢλÓÚPÖÐ + */ +static void PrintPath(ALGraph G, int a, int b, Boolean P[MAX_VERTEX_NUM]) ; + +/* + * ÀûÓùã¶ÈÔ¤ÏÈËÑË÷ÕÒµ½Ò»Ìõ´Ópreµ½bµÄ·¾¶£¬¸Ã·¾¶ÉÏ·¹ýµÄËùÓж¥µãλÓÚvexsÖУ¬ÕÒ³öµÄ·¾¶´æ´¢µ½pathÖÐ + */ +static Status Find(ALGraph G, int pre, int b, int vexs[MAX_VERTEX_NUM], int path[MAX_VERTEX_NUM]); + +#endif diff --git a/VisualC++/ExerciseBook/07.42/TestData_DG.txt b/VisualC++/ExerciseBook/07.42/TestData_DG.txt new file mode 100644 index 0000000..8bd9909 --- /dev/null +++ b/VisualC++/ExerciseBook/07.42/TestData_DG.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú0£¨ÓÐÏòͼ£© +¶¥µãÊý¡ú14 +»¡Êý¡ú20 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú0 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L£¬M£¬N¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬C¡¿¡¾A£¬F¡¿¡¾B£¬A¡¿¡¾B£¬H¡¿¡¾C£¬B¡¿¡¾D£¬G¡¿¡¾E£¬H¡¿¡¾E£¬C¡¿¡¾F£¬I¡¿¡¾F£¬G¡¿¡¾H£¬E¡¿¡¾H£¬J¡¿¡¾I£¬E¡¿¡¾I£¬D¡¿¡¾I£¬G¡¿¡¾J£¬D¡¿¡¾L£¬N¡¿¡¾N£¬M¡¿¡¾M£¬L¡¿¡¾M£¬K¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.42/TestData_DN.txt b/VisualC++/ExerciseBook/07.42/TestData_DN.txt new file mode 100644 index 0000000..20d59bd --- /dev/null +++ b/VisualC++/ExerciseBook/07.42/TestData_DN.txt @@ -0,0 +1,6 @@ +ͼÀàÐÍ¡ú1£¨ÓÐÏòÍø£© +¶¥µãÊý¡ú14 +»¡Êý¡ú20 +»¡ÊÇ·ñ´øÓÐÆäËûÐÅÏ¢¡ú1 +¶¥µã¼¯¡ú¡¾A£¬B£¬C£¬D£¬E£¬F£¬G£¬H£¬I£¬J£¬K£¬L£¬M£¬N¡¿ +»¡µÄ¼¯ºÏ¡ú¡¾A£¬C£¬15¡¿¡¾A£¬F£¬1¡¿¡¾B£¬A£¬5¡¿¡¾B£¬H£¬4¡¿¡¾C£¬B£¬5¡¿¡¾D£¬G£¬2¡¿¡¾E£¬H£¬20¡¿¡¾E£¬C£¬4¡¿¡¾F£¬I£¬5¡¿¡¾F£¬G£¬15¡¿¡¾H£¬E£¬2¡¿¡¾H£¬J£¬1¡¿¡¾I£¬E£¬3¡¿¡¾I£¬D£¬3¡¿¡¾I£¬G£¬8¡¿¡¾J£¬D£¬2¡¿¡¾L£¬N£¬2¡¿¡¾N£¬M£¬3¡¿¡¾M£¬L£¬1¡¿¡¾M£¬K£¬4¡¿ \ No newline at end of file diff --git a/VisualC++/ExerciseBook/07.42/TestData_UDG.txt b/VisualC++/ExerciseBook/07.42/TestData_UDG.txt new file mode 100644 index 0000000..ecdc733 --- /dev/null +++ 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"{B272A428-EFD7-4970-BBE1-A5F31E0C8911}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.15", "07.15\07.15.vcxproj", "{F2C7C449-A4B9-46D2-ACB6-D5A1C52F7814}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.17", "07.17\07.17.vcxproj", "{D1637FE7-8B48-4B0B-81A2-66984FE46CA4}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.18-07.19", "07.18-07.19\07.18-07.19.vcxproj", "{3FF8A41C-0672-4B72-8677-E8F0438B848F}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.20", "07.20\07.20.vcxproj", "{6B15728F-E00B-46B5-8961-E407695ABF7C}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.21", "07.21\07.21.vcxproj", "{F65B5E57-8A19-4D71-BCB7-C80BC575A47D}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.22-07.23", "07.22-07.23\07.22-07.23.vcxproj", "{B144CAC0-81E4-4F92-9E6D-252CC12F3FD4}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.24", "07.24\07.24.vcxproj", "{D2C4BE28-73F2-49EE-B61C-3668CE1D790D}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.25", "07.25\07.25.vcxproj", "{299C3272-DB66-4B45-9444-7BFFE0B67E0E}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.26", "07.26\07.26.vcxproj", "{CFBDCCF8-D245-46A4-9840-485429938441}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.27", "07.27\07.27.vcxproj", "{1C7805E6-3FDA-414E-89AD-081A1F15898A}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.28", "07.28\07.28.vcxproj", "{924160F4-B4AF-44AF-B599-09F1713B1270}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.29", "07.29\07.29.vcxproj", "{1053D204-9B69-40BF-92CC-860752E200D0}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.30", "07.30\07.30.vcxproj", "{4C169B2E-6DE8-4BFA-AAE1-45F64C042136}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.31", "07.31\07.31.vcxproj", "{13AD1B48-1644-461F-9C16-B64FE5B12D79}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.32", "07.32\07.32.vcxproj", "{529A9C3D-E429-4128-911B-3D68F7FC0FDB}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.33", "07.33\07.33.vcxproj", "{82288C1F-279B-4FE6-AC8A-18B4FDAB7BE1}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.34", "07.34\07.34.vcxproj", "{B09BB515-33BE-468C-8290-81FC322805E0}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.35", "07.35\07.35.vcxproj", "{A1E2C405-8E90-4B6D-AC8F-FF259A7629AC}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.36-07.37", "07.36-07.37\07.36-07.37.vcxproj", "{707A6B90-9FB4-4CF4-9ACA-6222CFA18D9A}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.38", "07.38\07.38.vcxproj", "{D5D2D36F-358D-43FA-B296-7192867B7224}" +EndProject +Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "07.39", "07.39\07.39.vcxproj", 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{707A6B90-9FB4-4CF4-9ACA-6222CFA18D9A}.Debug|Win32.Build.0 = Debug|Win32 + {707A6B90-9FB4-4CF4-9ACA-6222CFA18D9A}.Release|Win32.ActiveCfg = Release|Win32 + {707A6B90-9FB4-4CF4-9ACA-6222CFA18D9A}.Release|Win32.Build.0 = Release|Win32 + {D5D2D36F-358D-43FA-B296-7192867B7224}.Debug|Win32.ActiveCfg = Debug|Win32 + {D5D2D36F-358D-43FA-B296-7192867B7224}.Debug|Win32.Build.0 = Debug|Win32 + {D5D2D36F-358D-43FA-B296-7192867B7224}.Release|Win32.ActiveCfg = Release|Win32 + {D5D2D36F-358D-43FA-B296-7192867B7224}.Release|Win32.Build.0 = Release|Win32 + {82014D93-91CF-49B8-A063-648FF219A996}.Debug|Win32.ActiveCfg = Debug|Win32 + {82014D93-91CF-49B8-A063-648FF219A996}.Debug|Win32.Build.0 = Debug|Win32 + {82014D93-91CF-49B8-A063-648FF219A996}.Release|Win32.ActiveCfg = Release|Win32 + {82014D93-91CF-49B8-A063-648FF219A996}.Release|Win32.Build.0 = Release|Win32 + {C3FC2734-BCD5-403A-BE50-7C874F93BDB3}.Debug|Win32.ActiveCfg = Debug|Win32 + {C3FC2734-BCD5-403A-BE50-7C874F93BDB3}.Debug|Win32.Build.0 = Debug|Win32 + {C3FC2734-BCD5-403A-BE50-7C874F93BDB3}.Release|Win32.ActiveCfg = Release|Win32 + {C3FC2734-BCD5-403A-BE50-7C874F93BDB3}.Release|Win32.Build.0 = Release|Win32 + {CCF3A00A-FFE1-4941-8A57-5F71EDDFC3D9}.Debug|Win32.ActiveCfg = Debug|Win32 + {CCF3A00A-FFE1-4941-8A57-5F71EDDFC3D9}.Debug|Win32.Build.0 = Debug|Win32 + {CCF3A00A-FFE1-4941-8A57-5F71EDDFC3D9}.Release|Win32.ActiveCfg = Release|Win32 + {CCF3A00A-FFE1-4941-8A57-5F71EDDFC3D9}.Release|Win32.Build.0 = Release|Win32 + {80E94E2F-B06C-4B8B-9B6C-88F9FE66B09B}.Debug|Win32.ActiveCfg = Debug|Win32 + {80E94E2F-B06C-4B8B-9B6C-88F9FE66B09B}.Debug|Win32.Build.0 = Debug|Win32 + {80E94E2F-B06C-4B8B-9B6C-88F9FE66B09B}.Release|Win32.ActiveCfg = Release|Win32 + {80E94E2F-B06C-4B8B-9B6C-88F9FE66B09B}.Release|Win32.Build.0 = Release|Win32 EndGlobalSection GlobalSection(SolutionProperties) = preSolution HideSolutionNode = FALSE diff --git a/VisualC++/ExerciseBook/ExerciseBook.suo b/VisualC++/ExerciseBook/ExerciseBook.suo index 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