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/*
File : NSLDiffTest.cpp
Project : LabPlot
Description : NSL Tests for numerical differentiation
--------------------------------------------------------------------
SPDX-FileCopyrightText: 2019 Stefan Gerlach <stefan.gerlach@uni.kn>
SPDX-License-Identifier: GPL-2.0-or-later
*/
#include "NSLDiffTest.h"
#include <QScopedArrayPointer>
extern "C" {
#include "backend/nsl/nsl_diff.h"
}
// ##############################################################################
// ################# first derivative tests
// ##############################################################################
const int N = 7;
double dxdata[] = {1, 2, 4, 8, 16, 32, 64};
void NSLDiffTest::testFirst_order2() {
double ydata[] = {1, 4, 16, 64, 256, 1024, 4096};
int status = nsl_diff_first_deriv(dxdata, ydata, N, 2);
QCOMPARE(status, 0);
for (unsigned int i = 0; i < N; i++)
QCOMPARE(ydata[i], 2 * dxdata[i]);
}
void NSLDiffTest::testFirst_order4() {
double ydata[] = {1, 8, 64, 512, 4096, 32768, 262144};
int status = nsl_diff_first_deriv(dxdata, ydata, N, 4);
QCOMPARE(status, 0);
for (unsigned int i = 0; i < N; i++)
QCOMPARE(ydata[i], 3 * dxdata[i] * dxdata[i]);
}
void NSLDiffTest::testFirst_avg() {
double ydata[] = {1, 4, 16, 64, 256, 1024, 4096};
const double result[] = {3, 4.5, 9, 18, 36, 72, 96};
int status = nsl_diff_first_deriv_avg(dxdata, ydata, N);
QCOMPARE(status, 0);
for (unsigned int i = 0; i < N; i++)
QCOMPARE(ydata[i], result[i]);
}
// ##############################################################################
// ################# second derivative tests
// ##############################################################################
void NSLDiffTest::testSecond_order1() {
double ydata[] = {1, 4, 16, 64, 256, 1024, 4096};
int status = nsl_diff_second_deriv(dxdata, ydata, N, 1);
QCOMPARE(status, 0);
for (double d : ydata)
QCOMPARE(d, 2.);
}
void NSLDiffTest::testSecond_order2() {
double ydata[] = {1, 4, 16, 64, 256, 1024, 4096};
int status = nsl_diff_second_deriv(dxdata, ydata, N, 2);
QCOMPARE(status, 0);
for (double d : ydata)
QCOMPARE(d, 2.);
}
void NSLDiffTest::testSecond_order3() {
double ydata[] = {1, 8, 64, 512, 4096, 32768, 262144};
int status = nsl_diff_second_deriv(dxdata, ydata, N, 3);
QCOMPARE(status, 0);
for (unsigned int i = 0; i < N; i++)
QCOMPARE(ydata[i], 6. * dxdata[i]);
}
// ##############################################################################
// ################# higher derivative tests
// ##############################################################################
void NSLDiffTest::testThird_order2() {
double ydata[] = {1, 8, 64, 512, 4096, 32768, 262144};
int status = nsl_diff_third_deriv(dxdata, ydata, N, 2);
QCOMPARE(status, 0);
for (double d : ydata)
QCOMPARE(d, 6.);
}
void NSLDiffTest::testFourth_order1() {
double ydata[] = {1, 8, 64, 512, 4096, 32768, 262144};
int status = nsl_diff_fourth_deriv(dxdata, ydata, N, 1);
QCOMPARE(status, 0);
for (double d : ydata)
QCOMPARE(d, 0.);
}
void NSLDiffTest::testFourth_order3() {
double ydata[] = {1, 8, 64, 512, 4096, 32768, 262144};
int status = nsl_diff_fourth_deriv(dxdata, ydata, N, 3);
QCOMPARE(status, 0);
for (double d : ydata)
QCOMPARE(d + 1., 1.);
}
void NSLDiffTest::testFifth_order2() {
double ydata[] = {1, 8, 64, 512, 4096, 32768, 262144};
int status = nsl_diff_fifth_deriv(dxdata, ydata, N, 2);
QCOMPARE(status, 0);
for (double d : ydata)
QCOMPARE(d + 1., 1.);
}
void NSLDiffTest::testSixth_order1() {
double ydata[] = {1, 8, 64, 512, 4096, 32768, 262144};
int status = nsl_diff_sixth_deriv(dxdata, ydata, N, 1);
QCOMPARE(status, 0);
for (double d : ydata)
QCOMPARE(d + 1., 1.);
}
// ##############################################################################
// ################# performance
// ##############################################################################
void NSLDiffTest::testPerformance_first() {
const int NN = 1e6;
QScopedArrayPointer<double> xdata(new double[NN]);
QScopedArrayPointer<double> ydata(new double[NN]);
for (int i = 0; i < NN; i++)
xdata[i] = ydata[i] = (double)i;
QBENCHMARK {
int status = nsl_diff_first_deriv(xdata.data(), ydata.data(), NN, 2);
QCOMPARE(status, 0);
}
}
void NSLDiffTest::testPerformance_second() {
const int NN = 1e6;
QScopedArrayPointer<double> xdata(new double[NN]);
QScopedArrayPointer<double> ydata(new double[NN]);
for (int i = 0; i < NN; i++)
xdata[i] = ydata[i] = (double)i;
QBENCHMARK {
int status = nsl_diff_second_deriv(xdata.data(), ydata.data(), NN, 2);
QCOMPARE(status, 0);
}
}
void NSLDiffTest::testPerformance_third() {
const int NN = 1e6;
QScopedArrayPointer<double> xdata(new double[NN]);
QScopedArrayPointer<double> ydata(new double[NN]);
for (int i = 0; i < NN; i++)
xdata[i] = ydata[i] = (double)i;
QBENCHMARK {
int status = nsl_diff_third_deriv(xdata.data(), ydata.data(), NN, 2);
QCOMPARE(status, 0);
}
}
QTEST_MAIN(NSLDiffTest)
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