fft multi channel output
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@@ -9,7 +9,7 @@ import numpy as np
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sys.path.insert(0, ".")
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from backend.data_types import DataField
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from backend.nodes.analysis import FFT2D
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from backend.nodes.analysis import FFT2D, InverseFFT2D
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def make_field(data, xreal=1e-6, yreal=1e-6):
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@@ -24,7 +24,7 @@ def test_dc_removal():
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field = make_field(data)
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node = FFT2D()
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result, = node.process(field, windowing="none", level="mean", output="magnitude")
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_, result, _, _ = node.process(field, windowing="none", level="mean")
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peak = result.data.max()
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print(f" Peak magnitude after mean subtraction of constant image: {peak:.2e}")
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assert peak < 1e-10, f"Expected ~0, got {peak}"
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@@ -43,7 +43,7 @@ def test_single_frequency():
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field = make_field(data, xreal=xreal, yreal=xreal)
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node = FFT2D()
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result, = node.process(field, windowing="none", level="mean", output="magnitude")
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_, result, _, _ = node.process(field, windowing="none", level="mean")
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# The peak should be at column offset = freq_cycles from center
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mag = result.data
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@@ -76,7 +76,7 @@ def test_2d_frequency():
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field = make_field(data)
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node = FFT2D()
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result, = node.process(field, windowing="none", level="mean", output="magnitude")
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_, result, _, _ = node.process(field, windowing="none", level="mean")
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mag = result.data
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cy, cx = N // 2, N // 2
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@@ -110,7 +110,7 @@ def test_psdf_normalization():
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field = make_field(data, xreal=xreal, yreal=xreal)
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node = FFT2D()
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result, = node.process(field, windowing="none", level="none", output="psdf")
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_, _, _, result = node.process(field, windowing="none", level="none")
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psdf = result.data
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# Integrate: sum of PSDF * dk_x * dk_y
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@@ -141,11 +141,11 @@ def test_windowing_reduces_leakage():
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node = FFT2D()
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# Without windowing
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r_none, = node.process(field, windowing="none", level="mean", output="magnitude")
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_, r_none, _, _ = node.process(field, windowing="none", level="mean")
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mag_none = r_none.data[N // 2, :] # center row
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# With Hann windowing
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r_hann, = node.process(field, windowing="hann", level="mean", output="magnitude")
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_, r_hann, _, _ = node.process(field, windowing="hann", level="mean")
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mag_hann = r_hann.data[N // 2, :]
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# Measure leakage: ratio of energy far from peak vs total
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@@ -178,15 +178,15 @@ def test_plane_subtraction():
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node = FFT2D()
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# Without leveling — huge DC and low-freq energy
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r_none, = node.process(field, windowing="none", level="none", output="magnitude")
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_, r_none, _, _ = node.process(field, windowing="none", level="none")
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dc_none = r_none.data[N // 2, N // 2]
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# With mean subtraction — DC removed but gradient leaks
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r_mean, = node.process(field, windowing="none", level="mean", output="magnitude")
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_, r_mean, _, _ = node.process(field, windowing="none", level="mean")
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dc_mean = r_mean.data[N // 2, N // 2]
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# With plane subtraction — gradient removed
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r_plane, = node.process(field, windowing="none", level="plane", output="magnitude")
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_, r_plane, _, _ = node.process(field, windowing="none", level="plane")
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dc_plane = r_plane.data[N // 2, N // 2]
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# With plane subtraction, check the low-freq energy near DC is reduced
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@@ -213,7 +213,7 @@ def test_non_square():
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field = make_field(data, xreal=1.5e-6, yreal=1.0e-6)
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node = FFT2D()
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result, = node.process(field, windowing="hann", level="mean", output="log_magnitude")
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result, _, _, _ = node.process(field, windowing="hann", level="mean")
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assert result.data.shape == (100, 150), f"Shape mismatch: {result.data.shape}"
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assert np.all(np.isfinite(result.data)), "Non-finite values in output"
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print(f" Shape: {result.data.shape}")
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@@ -234,7 +234,7 @@ def test_log_magnitude_visual_range():
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field = make_field(data)
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node = FFT2D()
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result, = node.process(field, windowing="hann", level="mean", output="log_magnitude")
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result, _, _, _ = node.process(field, windowing="hann", level="mean")
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vmin, vmax = result.data.min(), result.data.max()
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dynamic_range = vmax - vmin if vmin > 0 else vmax / max(abs(vmin), 1e-30)
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@@ -246,6 +246,91 @@ def test_log_magnitude_visual_range():
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print(" PASS\n")
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def test_inverse_fft_reconstructs_from_magnitude_and_phase():
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"""Magnitude + phase from FFT2D should reconstruct the original image."""
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print("=== Test: Inverse FFT from magnitude + phase ===")
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rng = np.random.default_rng(123)
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data = rng.standard_normal((64, 96))
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field = make_field(data, xreal=2.4e-6, yreal=1.6e-6)
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fft_node = FFT2D()
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ifft_node = InverseFFT2D()
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_, magnitude, phase, _ = fft_node.process(field, windowing="none", level="none")
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reconstructed, = ifft_node.process(magnitude, representation="magnitude", phase=phase)
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max_err = np.max(np.abs(reconstructed.data - field.data))
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print(f" Reconstruction max error: {max_err:.3e}")
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assert reconstructed.domain == "spatial"
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assert reconstructed.data.shape == field.data.shape
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assert np.isclose(reconstructed.xreal, field.xreal)
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assert np.isclose(reconstructed.yreal, field.yreal)
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assert max_err < 1e-9, f"Expected near-exact reconstruction, got {max_err}"
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print(" PASS\n")
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def test_inverse_fft_reconstructs_from_log_magnitude_and_phase():
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"""log(|F|) + phase should also reconstruct after expm1 inversion."""
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print("=== Test: Inverse FFT from log magnitude + phase ===")
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y, x = np.mgrid[0:72, 0:80] / 80.0
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data = (
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0.8 * np.sin(2 * np.pi * 6 * x)
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+ 0.35 * np.cos(2 * np.pi * 9 * y)
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+ 0.15 * np.sin(2 * np.pi * (4 * x + 3 * y))
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)
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field = make_field(data, xreal=1.6e-6, yreal=1.44e-6)
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fft_node = FFT2D()
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ifft_node = InverseFFT2D()
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log_magnitude, _, phase, _ = fft_node.process(field, windowing="none", level="none")
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reconstructed, = ifft_node.process(log_magnitude, representation="log_magnitude", phase=phase)
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rms_err = np.sqrt(np.mean((reconstructed.data - field.data) ** 2))
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print(f" Reconstruction RMS error: {rms_err:.3e}")
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assert rms_err < 1e-9, f"Expected near-exact reconstruction, got {rms_err}"
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print(" PASS\n")
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def test_inverse_fft_reconstructs_from_psdf_and_phase():
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"""PSDF + phase should reconstruct after undoing PSDF scaling."""
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print("=== Test: Inverse FFT from PSDF + phase ===")
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rng = np.random.default_rng(321)
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data = rng.standard_normal((48, 64))
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field = make_field(data, xreal=3.2e-6, yreal=2.4e-6)
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fft_node = FFT2D()
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ifft_node = InverseFFT2D()
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_, _, phase, psdf = fft_node.process(field, windowing="none", level="none")
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reconstructed, = ifft_node.process(psdf, representation="psdf", phase=phase)
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max_err = np.max(np.abs(reconstructed.data - field.data))
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print(f" Reconstruction max error: {max_err:.3e}")
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assert reconstructed.si_unit_z == field.si_unit_z
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assert max_err < 1e-8, f"Expected near-exact reconstruction, got {max_err}"
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print(" PASS\n")
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def test_inverse_fft_zero_phase_mode_returns_valid_image():
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"""Spectrum-only inversion should return a finite spatial image with the right shape."""
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print("=== Test: Inverse FFT zero-phase mode ===")
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data = np.sin(2 * np.pi * 5 * np.mgrid[0:64, 0:64][1] / 64.0)
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field = make_field(data, xreal=1e-6, yreal=1e-6)
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fft_node = FFT2D()
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ifft_node = InverseFFT2D()
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_, magnitude, _, _ = fft_node.process(field, windowing="none", level="none")
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reconstructed, = ifft_node.process(magnitude, representation="magnitude")
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print(f" Output shape: {reconstructed.data.shape}")
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assert reconstructed.domain == "spatial"
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assert reconstructed.data.shape == field.data.shape
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assert np.all(np.isfinite(reconstructed.data))
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print(" PASS\n")
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if __name__ == "__main__":
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test_dc_removal()
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test_single_frequency()
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@@ -255,4 +340,8 @@ if __name__ == "__main__":
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test_plane_subtraction()
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test_non_square()
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test_log_magnitude_visual_range()
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test_inverse_fft_reconstructs_from_magnitude_and_phase()
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test_inverse_fft_reconstructs_from_log_magnitude_and_phase()
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test_inverse_fft_reconstructs_from_psdf_and_phase()
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test_inverse_fft_zero_phase_mode_returns_valid_image()
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print("All tests passed!")
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@@ -43,9 +43,10 @@ def main():
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field = make_field(data)
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save_field(field, "01_sines_input")
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for output_mode in ["log_magnitude", "magnitude", "psdf"]:
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result, = node.process(field, windowing="hann", level="mean", output=output_mode)
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save_field(result, f"01_sines_{output_mode}")
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log_magnitude, magnitude, _, psdf = node.process(field, windowing="hann", level="mean")
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save_field(log_magnitude, "01_sines_log_magnitude")
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save_field(magnitude, "01_sines_magnitude")
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save_field(psdf, "01_sines_psdf")
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# --- Test 2: Real-world-like surface with noise + tilt ---
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print("\nTest 2: Tilted surface with features")
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@@ -57,7 +58,7 @@ def main():
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save_field(field, "02_surface_input")
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for level_mode in ["none", "mean", "plane"]:
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result, = node.process(field, windowing="hann", level=level_mode, output="log_magnitude")
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result, _, _, _ = node.process(field, windowing="hann", level=level_mode)
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save_field(result, f"02_surface_fft_level_{level_mode}")
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# --- Test 3: Checkerboard pattern ---
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@@ -67,7 +68,7 @@ def main():
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field = make_field(data)
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save_field(field, "03_checker_input")
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result, = node.process(field, windowing="none", level="mean", output="log_magnitude")
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result, _, _, _ = node.process(field, windowing="none", level="mean")
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save_field(result, "03_checker_fft")
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# --- Test 4: Concentric rings (radial frequency) ---
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@@ -77,7 +78,7 @@ def main():
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field = make_field(data)
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save_field(field, "04_rings_input")
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result, = node.process(field, windowing="hann", level="mean", output="log_magnitude")
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result, _, _, _ = node.process(field, windowing="hann", level="mean")
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save_field(result, "04_rings_fft")
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# --- Test 5: Compare windowing effects ---
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@@ -87,7 +88,7 @@ def main():
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save_field(field, "05_window_input")
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for win in ["none", "hann", "hamming", "blackman"]:
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result, = node.process(field, windowing=win, level="mean", output="log_magnitude")
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result, _, _, _ = node.process(field, windowing=win, level="mean")
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save_field(result, f"05_window_{win}")
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print(f"\nAll outputs saved to {OUT_DIR}/")
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@@ -1229,7 +1229,7 @@ def test_fft2d():
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field = make_field(data=data, xreal=1e-6, yreal=1e-6)
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# log_magnitude
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spectrum, = node.process(field, windowing="none", level="none", output="log_magnitude")
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spectrum, spec_mag, spec_phase, spec_psdf = node.process(field, windowing="none", level="none")
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assert spectrum.data.shape == (N, N)
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assert spectrum.domain == "frequency"
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assert spectrum.si_unit_xy == "1/m"
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@@ -1240,31 +1240,31 @@ def test_fft2d():
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assert abs(peak_idx - (centre + freq)) <= 1, f"Peak at {peak_idx}, expected ~{centre + freq}"
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# magnitude output
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spec_mag, = node.process(field, windowing="hann", level="mean", output="magnitude")
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_, spec_mag, _, _ = node.process(field, windowing="hann", level="mean")
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assert spec_mag.data.shape == (N, N)
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assert np.all(spec_mag.data >= 0)
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# phase output
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spec_phase, = node.process(field, windowing="none", level="none", output="phase")
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_, _, spec_phase, _ = node.process(field, windowing="none", level="none")
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assert spec_phase.data.shape == (N, N)
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assert spec_phase.data.min() >= -np.pi - 0.01
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assert spec_phase.data.max() <= np.pi + 0.01
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# psdf output — units should reflect PSDF calibration
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spec_psdf, = node.process(field, windowing="hamming", level="plane", output="psdf")
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_, _, _, spec_psdf = node.process(field, windowing="hamming", level="plane")
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assert spec_psdf.data.shape == (N, N)
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assert np.all(spec_psdf.data >= 0)
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assert "^2" in spec_psdf.si_unit_z
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# Constant field should have all energy at DC
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const_field = make_field(data=np.ones((32, 32)) * 3.0)
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spec_const, = node.process(const_field, windowing="none", level="none", output="magnitude")
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_, spec_const, _, _ = node.process(const_field, windowing="none", level="none")
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centre32 = 16
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dc_val = spec_const.data[centre32, centre32]
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assert dc_val == spec_const.data.max(), "DC should be the maximum for constant field"
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# Blackman windowing should also work without error
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spec_bk, = node.process(field, windowing="blackman", level="none", output="log_magnitude")
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spec_bk, _, _, _ = node.process(field, windowing="blackman", level="none")
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assert spec_bk.data.shape == (N, N)
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print(" PASS\n")
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