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/*
File : NSLIntTest.cpp
Project : LabPlot
Description : NSL Tests for numerical integration
--------------------------------------------------------------------
SPDX-FileCopyrightText: 2019 Stefan Gerlach <stefan.gerlach@uni.kn>
SPDX-License-Identifier: GPL-2.0-or-later
*/
#include "NSLIntTest.h"
extern "C" {
#include "backend/nsl/nsl_int.h"
}
// ##############################################################################
// ################# rule integral/area tests
// ##############################################################################
const int N = 5;
double rxdata[] = {1, 2, 3, 5, 7};
void NSLIntTest::testRectangle_integral() {
double ydata[] = {2, 2, 2, -2, -2};
int status = nsl_int_rectangle(rxdata, ydata, N, 0);
QCOMPARE(status, 0);
QCOMPARE(ydata[N - 1], 4.);
}
void NSLIntTest::testRectangle_area() {
double ydata[] = {2, 2, 2, -2, -2};
int status = nsl_int_rectangle(rxdata, ydata, N, 1);
QCOMPARE(status, 0);
QCOMPARE(ydata[N - 1], 12.);
}
void NSLIntTest::testTrapezoid_integral() {
double ydata[] = {1, 2, 3, -1, -3};
int status = nsl_int_trapezoid(rxdata, ydata, N, 0);
QCOMPARE(status, 0);
QCOMPARE(ydata[N - 1], 2.);
}
void NSLIntTest::testTrapezoid_area() {
double ydata[] = {1, 2, 3, -1, -3};
int status = nsl_int_trapezoid(rxdata, ydata, N, 1);
QCOMPARE(status, 0);
QCOMPARE(ydata[N - 1], 10.5);
}
void NSLIntTest::test3Point_integral() {
double ydata[] = {1, 2, 3, -1, -3};
int np = (int)nsl_int_simpson(rxdata, ydata, N, 0);
QCOMPARE(np, 3);
QCOMPARE(ydata[np - 1], 4 / 3.);
}
void NSLIntTest::test4Point_integral() {
double xdata2[] = {1, 2, 3, 5, 7, 8, 9};
double ydata[] = {2, 2, 2, 2, 2, 2, 2, 2};
const int n = 7;
int np = (int)nsl_int_simpson_3_8(xdata2, ydata, n, 0);
QCOMPARE(np, 3);
QCOMPARE(ydata[np - 1], 16.);
}
// ##############################################################################
// ################# performance
// ##############################################################################
void NSLIntTest::testPerformanceRectangle() {
const int n = 1e6;
QScopedArrayPointer<double> xdata(new double[n]);
QScopedArrayPointer<double> ydata(new double[n]);
for (int i = 0; i < n; i++)
xdata[i] = (double)i;
QBENCHMARK {
for (int i = 0; i < n; i++)
ydata[i] = 1.;
int status = nsl_int_rectangle(xdata.data(), ydata.data(), n, 0);
QCOMPARE(status, 0);
}
QCOMPARE(ydata[n - 1], (double)(n - 1));
}
void NSLIntTest::testPerformanceTrapezoid() {
const int n = 1e6;
QScopedArrayPointer<double> xdata(new double[n]);
QScopedArrayPointer<double> ydata(new double[n]);
for (int i = 0; i < n; i++)
xdata[i] = (double)i;
QBENCHMARK {
for (int i = 0; i < n; i++)
ydata[i] = 1.;
int status = nsl_int_trapezoid(xdata.data(), ydata.data(), n, 0);
QCOMPARE(status, 0);
}
QCOMPARE(ydata[n - 1], (double)(n - 1));
}
void NSLIntTest::testPerformance3Point() {
const int n = 1e6;
QScopedArrayPointer<double> xdata(new double[n]);
QScopedArrayPointer<double> ydata(new double[n]);
for (int i = 0; i < n; i++)
xdata[i] = (double)i;
int np = 1;
QBENCHMARK {
for (int i = 0; i < n; i++)
ydata[i] = 1.;
np = (int)nsl_int_simpson(xdata.data(), ydata.data(), n, 0);
QCOMPARE(np, n / 2 + 1);
}
QCOMPARE(ydata[np - 1], (double)(n - 1));
}
void NSLIntTest::testPerformance4Point() {
const int n = 1e6;
QScopedArrayPointer<double> xdata(new double[n]);
QScopedArrayPointer<double> ydata(new double[n]);
for (int i = 0; i < n; i++)
xdata[i] = (double)i;
int np = 1;
QBENCHMARK {
for (int i = 0; i < n; i++)
ydata[i] = 1.;
np = (int)nsl_int_simpson_3_8(xdata.data(), ydata.data(), n, 0);
QCOMPARE(np, n / 3 + 1);
}
// TODO:
// QCOMPARE(ydata[np - 1], (double)(n - 1));
printf("%.15g %.15g\n", ydata[np - 1], (double)(n - 1));
}
QTEST_MAIN(NSLIntTest)
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