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2026-09-07 19:33:37 +08:00
parent c945aa211f
commit c7b6c90ec9
20 changed files with 1029 additions and 0 deletions
@@ -0,0 +1,45 @@
+#include "c_Test.h"
+#include "c_FFT.h"
+
+TEST_CASE(test_fft_forward_and_inverse_precision) {
+    c_size_t N = 8;
+    c_FFT_t fft;
+    c_err_t err = c_FFT_Init(&fft, N, NULL);
+    ASSERT_INT_EQ(C_SUCCESS, err);
+
+    /* Allocate and initialize a test complex input signal (e.g., a simple square pulse) */
+    c_Complex_t signal[8] = {
+        {1.0, 0.0}, {1.0, 0.0}, {1.0, 0.0}, {1.0, 0.0},
+        {0.0, 0.0}, {0.0, 0.0}, {0.0, 0.0}, {0.0, 0.0}
+    };
+
+    /* Backup the original signal vector values for accuracy verification tests later */
+    double original_real[8];
+    for (c_size_t i = 0; i < N; ++i) original_real[i] = signal[i].real;
+
+    /* 1. Execute Forward Fourier Transformation */
+    err = c_FFT_Execute(&fft, signal, C_FALSE);
+    ASSERT_INT_EQ(C_SUCCESS, err);
+
+    /* The DC component (index 0) must equal the sum of all elements = 4.0 */
+    ASSERT_DOUBLE_EQ_MSG(4.0, signal[0].real, "Forward FFT DC component calculation wrong");
+
+    /* 2. Execute Inverse Fourier Transformation to reconstruct the original signal */
+    err = c_FFT_Execute(&fft, signal, C_TRUE);
+    ASSERT_INT_EQ(C_SUCCESS, err);
+
+    /* Confirm that the output matches the original input wave precisely within allowed errors */
+    for (c_size_t i = 0; i < N; ++i) {
+        ASSERT_DOUBLE_EQ_MSG(original_real[i], signal[i].real, "FFT-IFFT signal precision mismatch");
+        ASSERT_DOUBLE_EQ_MSG(0.0, signal[i].imag, "Residual imaginary noise caught in reconstructed signal");
+    }
+
+    c_FFT_Destroy(&fft);
+}
+
+int main(void) {
+    TEST_START(FastFourierTransform_Engine_Suite);
+    RUN_TEST(test_fft_forward_and_inverse_precision);
+    TEST_REPORT();
+    RETURN_TEST_STATUS;
+}