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/* -*- c-basic-offset: 4 indent-tabs-mode: nil -*- vi:set ts=8 sts=4 sw=4: */
/*
Sonic Visualiser
An audio file viewer and annotation editor.
Centre for Digital Music, Queen Mary, University of London.
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License as
published by the Free Software Foundation; either version 2 of the
License, or (at your option) any later version. See the file
COPYING included with this distribution for more information.
*/
#ifndef TEST_FFT_MODEL_H
#define TEST_FFT_MODEL_H
#include "../FFTModel.h"
#include "MockWaveModel.h"
#include "Compares.h"
#include <QObject>
#include <QtTest>
#include <QDir>
#include <iostream>
#include <complex>
using namespace std;
using namespace sv;
class TestFFTModel : public QObject
{
Q_OBJECT
private:
void test(ModelId model, // a DenseTimeValueModel
WindowType window, int windowSize, int windowIncrement, int fftSize,
int columnNo, vector<vector<complex<float>>> expectedValues,
int expectedWidth) {
for (int ch = 0; in_range_for(expectedValues, ch); ++ch) {
FFTModel fftm(model, ch, window, windowSize, windowIncrement, fftSize);
QCOMPARE(fftm.getWidth(), expectedWidth);
int hs1 = fftSize/2 + 1;
QCOMPARE(fftm.getHeight(), hs1);
vector<float> reals(hs1 + 1, 0.f);
vector<float> imags(hs1 + 1, 0.f);
reals[hs1] = 999.f; // overrun guards
imags[hs1] = 999.f;
for (int stepThrough = 0; stepThrough <= 1; ++stepThrough) {
if (stepThrough) {
// Read through the columns in order instead of
// randomly accessing the one we want. This is to
// exercise the case where the FFT model saves
// part of each input frame and moves along by
// only the non-overlapping distance
for (int sc = 0; sc < columnNo; ++sc) {
fftm.getValuesAt(sc, &reals[0], &imags[0]);
}
}
fftm.getValuesAt(columnNo, &reals[0], &imags[0]);
for (int i = 0; i < hs1; ++i) {
float eRe = expectedValues[ch][i].real();
float eIm = expectedValues[ch][i].imag();
float thresh = 1e-5f;
if (abs(reals[i] - eRe) > thresh ||
abs(imags[i] - eIm) > thresh) {
SVCERR << "ERROR: output is not as expected for column "
<< i << " in channel " << ch << " (stepThrough = "
<< stepThrough << ")" << endl;
SVCERR << "expected : ";
for (int j = 0; j < hs1; ++j) {
SVCERR << expectedValues[ch][j] << " ";
}
SVCERR << "\nactual : ";
for (int j = 0; j < hs1; ++j) {
SVCERR << complex<float>(reals[j], imags[j]) << " ";
}
SVCERR << endl;
}
COMPARE_FUZZIER_F(reals[i], eRe);
COMPARE_FUZZIER_F(imags[i], eIm);
}
QCOMPARE(reals[hs1], 999.f);
QCOMPARE(imags[hs1], 999.f);
}
}
}
ModelId makeMock(std::vector<Sort> sorts, int length, int pad) {
auto mwm = std::make_shared<MockWaveModel>(sorts, length, pad);
return ModelById::add(mwm);
}
void releaseMock(ModelId id) {
ModelById::release(id);
}
private slots:
// NB. FFTModel columns are centred on the sample frame, and in
// particular this means column 0 is centred at sample 0 (i.e. it
// contains only half the window-size worth of real samples, the
// others are 0-valued from before the origin). Generally in
// these tests we are padding our signal with half a window of
// zeros, in order that the result for column 0 is all zeros
// (rather than something with a step in it that is harder to
// reason about the FFT of) and the results for subsequent columns
// are those of our expected signal.
void dc_simple_rect() {
auto mwm = makeMock({ DC }, 16, 4);
test(mwm, RectangularWindow, 8, 8, 8, 0,
{ { {}, {}, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 1,
{ { { 4.f, 0.f }, {}, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 2,
{ { { 4.f, 0.f }, {}, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 3,
{ { {}, {}, {}, {}, {} } }, 4);
releaseMock(mwm);
}
void dc_simple_hann() {
// The Hann window function is a simple sinusoid with period
// equal to twice the window size, and it halves the DC energy
auto mwm = makeMock({ DC }, 16, 4);
test(mwm, HanningWindow, 8, 8, 8, 0,
{ { {}, {}, {}, {}, {} } }, 4);
test(mwm, HanningWindow, 8, 8, 8, 1,
{ { { 4.f, 0.f }, { 2.f, 0.f }, {}, {}, {} } }, 4);
test(mwm, HanningWindow, 8, 8, 8, 2,
{ { { 4.f, 0.f }, { 2.f, 0.f }, {}, {}, {} } }, 4);
test(mwm, HanningWindow, 8, 8, 8, 3,
{ { {}, {}, {}, {}, {} } }, 4);
releaseMock(mwm);
}
void dc_simple_hann_halfoverlap() {
auto mwm = makeMock({ DC }, 16, 4);
test(mwm, HanningWindow, 8, 4, 8, 0,
{ { {}, {}, {}, {}, {} } }, 7);
test(mwm, HanningWindow, 8, 4, 8, 2,
{ { { 4.f, 0.f }, { 2.f, 0.f }, {}, {}, {} } }, 7);
test(mwm, HanningWindow, 8, 4, 8, 3,
{ { { 4.f, 0.f }, { 2.f, 0.f }, {}, {}, {} } }, 7);
test(mwm, HanningWindow, 8, 4, 8, 6,
{ { {}, {}, {}, {}, {} } }, 7);
releaseMock(mwm);
}
void sine_simple_rect() {
auto mwm = makeMock({ Sine }, 16, 4);
// Sine: output is purely imaginary. Note the sign is flipped
// (normally the first half of the output would have negative
// sign for a sine starting at 0) because the model does an
// FFT shift to centre the phase
test(mwm, RectangularWindow, 8, 8, 8, 0,
{ { {}, {}, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 1,
{ { {}, { 0.f, 2.f }, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 2,
{ { {}, { 0.f, 2.f }, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 3,
{ { {}, {}, {}, {}, {} } }, 4);
releaseMock(mwm);
}
void cosine_simple_rect() {
auto mwm = makeMock({ Cosine }, 16, 4);
// Cosine: output is purely real. Note the sign is flipped
// because the model does an FFT shift to centre the phase
test(mwm, RectangularWindow, 8, 8, 8, 0,
{ { {}, {}, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 1,
{ { {}, { -2.f, 0.f }, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 2,
{ { {}, { -2.f, 0.f }, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 3,
{ { {}, {}, {}, {}, {} } }, 4);
releaseMock(mwm);
}
void twochan_simple_rect() {
auto mwm = makeMock({ Sine, Cosine }, 16, 4);
// Test that the two channels are read and converted separately
test(mwm, RectangularWindow, 8, 8, 8, 0,
{
{ {}, {}, {}, {}, {} },
{ {}, {}, {}, {}, {} }
}, 4);
test(mwm, RectangularWindow, 8, 8, 8, 1,
{
{ {}, { 0.f, 2.f }, {}, {}, {} },
{ {}, { -2.f, 0.f }, {}, {}, {} }
}, 4);
test(mwm, RectangularWindow, 8, 8, 8, 2,
{
{ {}, { 0.f, 2.f }, {}, {}, {} },
{ {}, { -2.f, 0.f }, {}, {}, {} }
}, 4);
test(mwm, RectangularWindow, 8, 8, 8, 3,
{
{ {}, {}, {}, {}, {} },
{ {}, {}, {}, {}, {} }
}, 4);
releaseMock(mwm);
}
void nyquist_simple_rect() {
auto mwm = makeMock({ Nyquist }, 16, 4);
// Again, the sign is flipped. This has the same amount of
// energy as the DC example
test(mwm, RectangularWindow, 8, 8, 8, 0,
{ { {}, {}, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 1,
{ { {}, {}, {}, {}, { -4.f, 0.f } } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 2,
{ { {}, {}, {}, {}, { -4.f, 0.f } } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 3,
{ { {}, {}, {}, {}, {} } }, 4);
releaseMock(mwm);
}
void dirac_simple_rect() {
auto mwm = makeMock({ Dirac }, 16, 4);
// The window scales by 0.5 and some signs are flipped. Only
// column 1 has any data (the single impulse).
test(mwm, RectangularWindow, 8, 8, 8, 0,
{ { {}, {}, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 1,
{ { { 0.5f, 0.f }, { -0.5f, 0.f }, { 0.5f, 0.f }, { -0.5f, 0.f }, { 0.5f, 0.f } } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 2,
{ { {}, {}, {}, {}, {} } }, 4);
test(mwm, RectangularWindow, 8, 8, 8, 3,
{ { {}, {}, {}, {}, {} } }, 4);
releaseMock(mwm);
}
void dirac_simple_rect_2() {
auto mwm = makeMock({ Dirac }, 16, 8);
// With 8 samples padding, the FFT shift places the first
// Dirac impulse at the start of column 1, thus giving all
// positive values
test(mwm, RectangularWindow, 8, 8, 8, 0,
{ { {}, {}, {}, {}, {} } }, 5);
test(mwm, RectangularWindow, 8, 8, 8, 1,
{ { { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f } } }, 5);
test(mwm, RectangularWindow, 8, 8, 8, 2,
{ { {}, {}, {}, {}, {} } }, 5);
test(mwm, RectangularWindow, 8, 8, 8, 3,
{ { {}, {}, {}, {}, {} } }, 5);
test(mwm, RectangularWindow, 8, 8, 8, 4,
{ { {}, {}, {}, {}, {} } }, 5);
releaseMock(mwm);
}
void dirac_simple_rect_halfoverlap() {
auto mwm = makeMock({ Dirac }, 16, 4);
test(mwm, RectangularWindow, 8, 4, 8, 0,
{ { {}, {}, {}, {}, {} } }, 7);
test(mwm, RectangularWindow, 8, 4, 8, 1,
{ { { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f }, { 0.5f, 0.f } } }, 7);
test(mwm, RectangularWindow, 8, 4, 8, 2,
{ { { 0.5f, 0.f }, { -0.5f, 0.f }, { 0.5f, 0.f }, { -0.5f, 0.f }, { 0.5f, 0.f } } }, 7);
test(mwm, RectangularWindow, 8, 4, 8, 3,
{ { {}, {}, {}, {}, {} } }, 7);
releaseMock(mwm);
}
};
#endif
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