Created a gausssian_fuzzy_set.c file,which will aid in future FIS con…

…trol system algo

fuzzy_logic/gaussian_fuzzy_set.c

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+/**
+ * @file gaussian.c
+ * @brief Implementation of the Gaussian function.
+ * @details
+ * This program calculates the value of the Gaussian function for a given
+ * mean and standard deviation at a specific value.
+ * The function follows the formula:
+ * f(value) = (1 / (std_dev * sqrt(2 * pi))) * exp(-((value - mean)^2) / (2 *
+ * std_dev^2))
+ * @author Shreya123714 (https://github.com/Shreya123714)
+ *
+ * Based on: https://en.wikipedia.org/wiki/Fuzzy_set
+ */
+
+#include <assert.h>  // for assert
+#include <math.h>    // for math functions like exp() and sqrt()
+#include <stdio.h>   // for IO operations
+
+/**
+ * @brief Computes the Gaussian function value.
+ * @param value The input value at which to evaluate the function.
+ * @param mean The mean of the distribution.
+ * @param std_dev The standard deviation of the distribution.
+ * @returns The value of the Gaussian function at value.
+ */
+double gaussian(double value, double mean, double std_dev)
+{
+    // Check for valid std_dev
+    assert(std_dev > 0);
+
+    double exponent =
+        exp(-((value - mean) * (value - mean)) / (2 * std_dev * std_dev));
+    return (1 / (std_dev * sqrt(2 * M_PI))) * exponent;
+}
+
+/**
+ * @brief Self-test implementations for the Gaussian function.
+ * @returns void
+ */
+static void test_gaussian()
+{
+    // Test cases
+    assert(fabs(gaussian(0, 0, 1) - 0.3989422804014337) <
+           1e-9);  // Standard normal distribution
+    assert(fabs(gaussian(1, 0, 1) - 0.24197072451914337) < 1e-9);
+    assert(fabs(gaussian(0, 2, 1) - 0.24197072451914337) < 1e-9);
+    assert(fabs(gaussian(2, 2, 1) - 0.3989422804014337) <
+           1e-9);  // Should be 0.3989422804014337
+
+    printf("All Gaussian tests have successfully passed!\n");
+}
+
+/**
+ * @brief Main function
+ * @returns 0 on exit
+ */
+int main()
+{
+    test_gaussian();  // Run self-test implementations
+    return 0;
+}