From 93c2ea35444059833eb5e6b8490cc251e32fe8c1 Mon Sep 17 00:00:00 2001
From: Shreya123714 <yadavshreya400@gmail.com>
Date: Wed, 30 Oct 2024 21:56:48 +0530
Subject: [PATCH] Created a gausssian_fuzzy_set.c file,which will aid in future
 FIS control system algo

---
 fuzzy_logic/gaussian_fuzzy_set.c | 61 ++++++++++++++++++++++++++++++++
 1 file changed, 61 insertions(+)
 create mode 100644 fuzzy_logic/gaussian_fuzzy_set.c

diff --git a/fuzzy_logic/gaussian_fuzzy_set.c b/fuzzy_logic/gaussian_fuzzy_set.c
new file mode 100644
index 0000000000..64b423e003
--- /dev/null
+++ b/fuzzy_logic/gaussian_fuzzy_set.c
@@ -0,0 +1,61 @@
+/**
+ * @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;
+}