From 95779eba18c68f309e11215224c99fdeddb5c0bf Mon Sep 17 00:00:00 2001
From: Andru Liu <90433630+WallabyLester@users.noreply.github.com>
Date: Tue, 8 Oct 2024 20:34:57 -0700
Subject: [PATCH] Created header for rbf model.

---
 CPP_Implementation/rbf_model.h | 86 ++++++++++++++++++++++++++++++++++
 1 file changed, 86 insertions(+)
 create mode 100644 CPP_Implementation/rbf_model.h

diff --git a/CPP_Implementation/rbf_model.h b/CPP_Implementation/rbf_model.h
new file mode 100644
index 0000000..4752c8c
--- /dev/null
+++ b/CPP_Implementation/rbf_model.h
@@ -0,0 +1,86 @@
+#ifndef RBF_MODEL_H
+#define RBF_MODEL_H
+
+#include <cmath>
+#include <cstdlib>
+
+/**
+ * @class RBFModel
+ * @brief Radial Basis Function (RBF) Model for function approximation.
+ * 
+ * This class implements an RBF model that evaluates outputs based
+ * on a set of radial basis functions centered at specified locations.
+ */
+class RBFModel {
+public:
+
+    /**
+     * @brief Constructor to initialize the RBF model.
+     * 
+     * Initializes the RBF model with a specified number
+     * of centers, input dimensions, and the spread (sigma) of the RBFs.
+     * Random initialization of the centers can be turned off.
+     * 
+     * @param numCenters The number of radial basis function centers.
+     * @param inputDim The dimensionality of the input data.
+     * @param sigma The spread of the RBFs (default is 1.0).
+     * @param randomCenters Boolean to initialize centers randomly (default is true).
+     */
+    RBFModel(int numCenters, int inputDim, double sigma = 1.0, bool randomCenters = true);
+    
+    /**
+     * @brief Destructor to free allocated memory.
+     */
+    ~RBFModel();
+    
+    /**
+     * @brief Evaluate the RBF output for a given input.
+     * 
+     * @param input A pointer to an array of input values.
+     * @return The computed output of the RBF model.
+     */
+    double evaluate(const double* input);
+    
+    /**
+     * @brief Adapt weights based on the error and learning rate.
+     * 
+     * @param error The difference between the desired output and the actual output.
+     * @param learningRate The rate at which the weights are adjusted.
+     * @param input A pointer to an array of input values used for adaptation.
+     */
+    void adapt(double error, double learningRate, const double* input);
+    
+    /**
+     * @brief Get the weight at a specific index.
+     * 
+     * @param index The index of the weight to retrieve.
+     * @return The weight at the specified index.
+     */
+    double get_weight(int index) const;
+    
+    /**
+     * @brief Set the weight at a specific index.
+     * 
+     * @param index The index of the weight to set.
+     * @param value The new value for the weight.
+     */
+    void set_weight(int index, double value);
+
+private:
+    double** centers; // 2D array for centers
+    double* weights;  // Array of weights
+    int numCenters;   // Number of RBF centers
+    int inputDim;     // Dimension of the input
+    double sigma;     // Spread of the RBF
+
+    /**
+     * @brief Gaussian function used in RBF evaluation.
+     * 
+     * @param input A pointer to an array of input values.
+     * @param center A pointer to an array representing the center of the Gaussian function.
+     * @return The output of the Gaussian function.
+     */
+    double gaussian(const double* input, const double* center);
+};
+
+#endif // RBF_MODEL_H