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#2567 Reduces memory overhead by extending the JTransforms FFT package to reuse its float array when calculaing the inverse FFT in the channelizer for a subset of the FFT size operations. (#2568)
Co-authored-by: sheirerd <sheirerd@ainfosec.com>
This commit is contained in:
@@ -0,0 +1,286 @@
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/*
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* *****************************************************************************
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* Copyright (C) 2014-2026 Dennis Sheirer
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*
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* This program is free software: you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation, either version 3 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License
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* along with this program. If not, see <http://www.gnu.org/licenses/>
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* ****************************************************************************
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*/
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package io.github.dsheirer.dsp.fft;
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import io.github.dsheirer.dsp.filter.channelizer.ComplexPolyphaseChannelizerM2;
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import java.lang.management.ManagementFactory;
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import java.util.Random;
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import org.jtransforms.fft.FloatFFT_1D;
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import org.junit.jupiter.api.Test;
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import static org.junit.jupiter.api.Assertions.assertArrayEquals;
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import static org.junit.jupiter.api.Assertions.assertEquals;
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import static org.junit.jupiter.api.Assertions.assertFalse;
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import static org.junit.jupiter.api.Assertions.assertThrows;
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import static org.junit.jupiter.api.Assertions.assertTrue;
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import static org.junit.jupiter.api.Assumptions.assumeTrue;
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/**
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* Verifies that the MixedRadixComplexFFT produces the same results as JTransforms FloatFFT_1D and does not allocate
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* memory per transform.
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*/
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public class MixedRadixComplexFFTTest
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{
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/**
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* Maximum error relative to the largest output magnitude.
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*/
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private static final double RELATIVE_TOLERANCE = 2e-6;
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/**
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* Sizes covering each radix (2, 3, 4, 5), mixed factorizations, powers of two and the channelizer channel counts.
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*/
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private static final int[] SIZES = {1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 25, 27, 30, 32, 40, 45, 50, 60, 64, 72,
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80, 90, 96, 100, 120, 125, 128, 150, 160, 180, 192, 200, 240, 250, 256, 270, 300, 320, 360, 384, 400, 450, 480,
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500, 512, 600, 640, 720, 750, 768, 800, 900, 960, 1000, 1024, 1080, 1200, 1500, 2000, 2400, 3000, 4096, 6000};
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private static float[] randomSamples(int length, Random random)
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{
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float[] samples = new float[length];
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for(int x = 0; x < samples.length; x++)
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{
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samples[x] = random.nextFloat() * 2.0f - 1.0f;
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}
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return samples;
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}
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/**
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* Asserts that the actual values match the expected values within a tolerance relative to the largest expected
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* magnitude.
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*/
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private static void assertClose(float[] expected, float[] actual, String message)
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{
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assertEquals(expected.length, actual.length, message + " length");
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double maxMagnitude = 1e-30;
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double maxError = 0;
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for(int x = 0; x < expected.length; x++)
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{
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maxMagnitude = Math.max(maxMagnitude, Math.abs(expected[x]));
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maxError = Math.max(maxError, Math.abs(expected[x] - actual[x]));
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}
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double relativeError = maxError / maxMagnitude;
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assertTrue(relativeError <= RELATIVE_TOLERANCE, message + " relative error " + relativeError +
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" exceeds " + RELATIVE_TOLERANCE);
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}
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/**
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* Double precision brute force DFT reference.
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* @param samples interleaved complex
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* @param sign -1 forward, +1 inverse
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*/
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private static float[] referenceDFT(float[] samples, int sign)
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{
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int n = samples.length / 2;
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float[] result = new float[samples.length];
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for(int k = 0; k < n; k++)
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{
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double re = 0;
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double im = 0;
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for(int t = 0; t < n; t++)
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{
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double angle = sign * 2.0 * Math.PI * ((long)k * t % n) / n;
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double cos = Math.cos(angle);
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double sin = Math.sin(angle);
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re += samples[2 * t] * cos - samples[2 * t + 1] * sin;
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im += samples[2 * t] * sin + samples[2 * t + 1] * cos;
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}
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result[2 * k] = (float)re;
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result[2 * k + 1] = (float)im;
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}
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return result;
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}
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@Test
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public void forwardMatchesJTransforms()
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{
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Random random = new Random(1);
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for(int size : SIZES)
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{
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float[] input = randomSamples(2 * size, random);
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float[] expected = input.clone();
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new FloatFFT_1D(size).complexForward(expected);
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float[] actual = input.clone();
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new MixedRadixComplexFFT(size).forward(actual);
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assertClose(expected, actual, "Forward size " + size);
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}
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}
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@Test
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public void inverseMatchesJTransforms()
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{
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Random random = new Random(2);
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for(int size : SIZES)
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{
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for(boolean scale : new boolean[]{true, false})
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{
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float[] input = randomSamples(2 * size, random);
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float[] expected = input.clone();
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new FloatFFT_1D(size).complexInverse(expected, scale);
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float[] actual = input.clone();
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new MixedRadixComplexFFT(size).inverse(actual, scale);
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assertClose(expected, actual, "Inverse size " + size + " scale " + scale);
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}
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}
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}
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@Test
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public void matchesDoublePrecisionReference()
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{
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Random random = new Random(3);
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for(int size : SIZES)
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{
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if(size > 1200)
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{
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continue; //Brute force reference is O(N^2)
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}
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MixedRadixComplexFFT fft = new MixedRadixComplexFFT(size);
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float[] input = randomSamples(2 * size, random);
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float[] forward = input.clone();
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fft.forward(forward);
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assertClose(referenceDFT(input, -1), forward, "Forward reference size " + size);
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float[] inverse = input.clone();
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fft.inverse(inverse, false);
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assertClose(referenceDFT(input, 1), inverse, "Inverse reference size " + size);
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}
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}
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/**
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* Mirrors the channelizer usage: repeated in-place inverse transforms of consecutive blocks in a larger array,
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* reusing a single instance and its scratch buffer. Also verifies that data outside each block is not modified.
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*/
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@Test
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public void offsetBlocksMatchJTransforms()
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{
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Random random = new Random(4);
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int blocks = 7;
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for(int size : new int[]{2, 72, 96, 100, 128, 240, 400, 480, 600})
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{
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int blockLength = 2 * size;
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int guard = 3;
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float[] input = randomSamples(blocks * blockLength + 2 * guard, random);
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float[] expected = input.clone();
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FloatFFT_1D jtransforms = new FloatFFT_1D(size);
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float[] actual = input.clone();
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MixedRadixComplexFFT fft = new MixedRadixComplexFFT(size);
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for(int offset = guard; offset < guard + blocks * blockLength; offset += blockLength)
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{
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jtransforms.complexInverse(expected, offset, true);
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fft.inverse(actual, offset, true);
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}
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assertClose(expected, actual, "Offset blocks size " + size);
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for(int x = 0; x < guard; x++)
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{
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assertEquals(input[x], actual[x], "Leading guard modified size " + size);
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assertEquals(input[input.length - 1 - x], actual[actual.length - 1 - x],
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"Trailing guard modified size " + size);
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}
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}
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}
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@Test
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public void roundTripRestoresInput()
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{
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Random random = new Random(5);
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for(int size : SIZES)
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{
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MixedRadixComplexFFT fft = new MixedRadixComplexFFT(size);
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float[] input = randomSamples(2 * size, random);
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float[] samples = input.clone();
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fft.forward(samples);
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fft.inverse(samples, true);
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assertArrayEquals(input, samples, 1e-5f, "Round trip size " + size);
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}
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}
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@Test
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public void supportsAllChannelizerChannelCounts()
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{
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for(double sampleRate = 50_000; sampleRate <= 61_440_000; sampleRate += 25_000)
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{
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int channelCount = ComplexPolyphaseChannelizerM2.getChannelCount(sampleRate);
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assertTrue(MixedRadixComplexFFT.isSupported(channelCount), "Channel count " + channelCount +
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" for sample rate " + sampleRate);
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}
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}
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@Test
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public void rejectsUnsupportedSizes()
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{
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for(int size : new int[]{0, -4, 7, 14, 49, 244, 1001})
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{
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assertFalse(MixedRadixComplexFFT.isSupported(size), "Size " + size);
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assertThrows(IllegalArgumentException.class, () -> new MixedRadixComplexFFT(size), "Size " + size);
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}
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}
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/**
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* Verifies that repeated transforms do not allocate memory, which is the reason this class exists.
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*/
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@Test
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public void doesNotAllocatePerTransform()
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{
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assumeTrue(ManagementFactory.getThreadMXBean() instanceof com.sun.management.ThreadMXBean);
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com.sun.management.ThreadMXBean threadMXBean = (com.sun.management.ThreadMXBean)ManagementFactory.getThreadMXBean();
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assumeTrue(threadMXBean.isThreadAllocatedMemorySupported() && threadMXBean.isThreadAllocatedMemoryEnabled());
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int size = 400;
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int iterations = 10_000;
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MixedRadixComplexFFT fft = new MixedRadixComplexFFT(size);
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float[] samples = randomSamples(2 * size, new Random(6));
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//Warm up so that class loading and JIT compilation are complete before measuring
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for(int x = 0; x < iterations; x++)
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{
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fft.inverse(samples, 0, true);
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}
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long threadId = Thread.currentThread().threadId();
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long before = threadMXBean.getThreadAllocatedBytes(threadId);
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for(int x = 0; x < iterations; x++)
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{
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fft.inverse(samples, 0, true);
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}
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long allocated = threadMXBean.getThreadAllocatedBytes(threadId) - before;
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//JTransforms allocates 2N floats (3200 bytes at N=400) per call, about 32 MB for these iterations
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assertTrue(allocated < 64 * 1024, "Allocated " + allocated + " bytes over " + iterations + " transforms");
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}
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}
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@@ -19,12 +19,12 @@
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package io.github.dsheirer.dsp.filter.channelizer;
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import io.github.dsheirer.dsp.fft.MixedRadixComplexFFT;
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import io.github.dsheirer.sample.complex.InterleavedComplexSamples;
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import java.util.Arrays;
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import java.util.List;
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import java.util.Random;
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import java.util.concurrent.CopyOnWriteArrayList;
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import org.jtransforms.fft.FloatFFT_1D;
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import org.junit.jupiter.api.Test;
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import static org.junit.jupiter.api.Assertions.assertEquals;
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@@ -142,7 +142,9 @@ public class ComplexPolyphaseChannelizerM2Test
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channelizer.stop();
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assertEquals(batchCount, batches.size(), "Batches (channelCount=" + channelCount + ")");
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FloatFFT_1D fft = new FloatFFT_1D(channelCount);
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//Use the same IFFT as the channelizer so the comparison remains bit-exact. Equivalence of this IFFT with
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//JTransforms is verified separately in MixedRadixComplexFFTTest.
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MixedRadixComplexFFT fft = new MixedRadixComplexFFT(channelCount);
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int blockLength = channelCount * 2;
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boolean topBlock = TAPS_PER_CHANNEL % 2 == 0;
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@@ -152,7 +154,7 @@ public class ComplexPolyphaseChannelizerM2Test
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float[] expected = harness.processFused(topBlock);
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topBlock = !topBlock;
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harness.shift(channelCount);
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fft.complexInverse(expected, true);
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fft.inverse(expected, true);
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float[] batch = batches.get(block / blocksPerBatch);
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int offset = (block % blocksPerBatch) * blockLength;
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