Enable gating & add gating test

Resolves: RHEL-52112

.fmf/version

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+1

gating.yaml

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+--- !Policy
+
+product_versions:
+  - rhel-10
+decision_context: osci_compose_gate
+rules:
+  - !PassingTestCaseRule {test_case_name: osci.brew-build.tier0.functional}

gating/main.fmf

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+summary: Test basic FFTW functionality
+test: ./test.sh
+framework: shell
+require:
+  - gcc
+  - fftw3-devel
+

gating/test.sh

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+#!/bin/sh -eux
+
+# Create the test program source file
+cat << 'EOF' > fftw_test.c
+#include <stdio.h>
+#include <math.h>
+#include <fftw3.h>
+
+int main() {
+    int N = 4;
+
+    fftw_complex in[N], out[N], back[N];
+    fftw_plan forward_plan, backward_plan;
+
+    // Initialize input array with known values
+    for (int i = 0; i < N; i++) {
+        in[i][0] = (double)(i + 1); // Real part: 1.0, 2.0, 3.0, 4.0
+        in[i][1] = 0.0;             // Imaginary part: 0.0
+    }
+
+    forward_plan = fftw_plan_dft_1d(N, in, out, FFTW_FORWARD, FFTW_ESTIMATE);
+    backward_plan = fftw_plan_dft_1d(N, out, back, FFTW_BACKWARD, FFTW_ESTIMATE);
+
+    fftw_execute(forward_plan);
+
+    printf("Forward FFT Output (Frequency Domain):\n");
+    for (int i = 0; i < N; i++) {
+        printf("Index %d: %f + %fi\n", i, out[i][0], out[i][1]);
+    }
+
+    fftw_execute(backward_plan);
+
+    // Normalize the output of the inverse FFT
+    for (int i = 0; i < N; i++) {
+        back[i][0] /= N;
+        back[i][1] /= N;
+    }
+
+    printf("\nOriginal Input vs. Recovered Data:\n");
+    for (int i = 0; i < N; i++) {
+        printf("Index %d:\n", i);
+        printf("  Original:  %f + %fi\n", in[i][0], in[i][1]);
+        printf("  Recovered: %f + %fi\n", back[i][0], back[i][1]);
+    }
+
+    fftw_destroy_plan(forward_plan);
+    fftw_destroy_plan(backward_plan);
+
+    return 0;
+}
+EOF
+
+# Compile the test program
+gcc -o fftw_test fftw_test.c -lfftw3 -lm
+
+# Run the test program and capture its output
+OUTPUT=$(./fftw_test)
+
+# Expected output patterns (using grep-compatible regular expressions)
+EXPECTED_PATTERNS=(
+    "Forward FFT Output \(Frequency Domain\):"
+    "Index 0: 10\.000000 \+ 0\.000000i"
+    "Index 1: -2\.000000 \+ 2\.000000i"
+    "Index 2: -2\.000000 \+ 0\.000000i"
+    "Index 3: -2\.000000 \+ -2\.000000i"
+    "Original Input vs\. Recovered Data:"
+    "Index 0:"
+    "  Original:  1\.000000 \+ 0\.000000i"
+    "  Recovered: 1\.000000 \+ 0\.000000i"
+    "Index 1:"
+    "  Original:  2\.000000 \+ 0\.000000i"
+    "  Recovered: 2\.000000 \+ 0\.000000i"
+    "Index 2:"
+    "  Original:  3\.000000 \+ 0\.000000i"
+    "  Recovered: 3\.000000 \+ 0\.000000i"
+    "Index 3:"
+    "  Original:  4\.000000 \+ 0\.000000i"
+    "  Recovered: 4\.000000 \+ 0\.000000i"
+)
+
+# Verify the output
+ALL_MATCH=1
+for PATTERN in "${EXPECTED_PATTERNS[@]}"; do
+    if ! echo "$OUTPUT" | grep -qE "$PATTERN"; then
+        echo "Pattern not found: $PATTERN"
+        ALL_MATCH=0
+    fi
+done
+
+if [ $ALL_MATCH -eq 1 ]; then
+    echo "FFTW test passed."
+    exit 0
+else
+    echo "FFTW test failed."
+    echo "Program output:"
+    echo "$OUTPUT"
+    exit 1
+fi
+

plans/main.fmf

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+discover:
+    how: fmf
+execute:
+    how: tmt