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/*
File : NSLGeomTest.cpp
Project : LabPlot
Description : NSL Tests for geometric functions
--------------------------------------------------------------------
SPDX-FileCopyrightText: 2019 Stefan Gerlach <stefan.gerlach@uni.kn>
SPDX-License-Identifier: GPL-2.0-or-later
*/
#include "NSLGeomTest.h"
extern "C" {
#include "backend/nsl/nsl_geom.h"
#include "backend/nsl/nsl_geom_linesim.h"
}
void NSLGeomTest::initTestCase() {
const QString currentDir = QLatin1String(__FILE__);
m_dataDir = currentDir.left(currentDir.lastIndexOf(QDir::separator())) + QDir::separator() + QLatin1String("data") + QDir::separator();
}
// ##############################################################################
// ################# line sim test
// ##############################################################################
void NSLGeomTest::testDist() {
double dist = nsl_geom_point_point_dist(0, 0, 1, 1);
QCOMPARE(dist, M_SQRT2);
dist = nsl_geom_point_point_dist(1, 2, 2, 1);
QCOMPARE(dist, M_SQRT2);
dist = nsl_geom_point_point_dist(-1, -2, 2, 2);
QCOMPARE(dist, 5.);
dist = nsl_geom_point_line_dist(0, 0, 1, 0, .5, 1);
QCOMPARE(dist, 1.);
dist = nsl_geom_point_line_dist(0, 0, 1, 0, 0, 1);
QCOMPARE(dist, 1.);
dist = nsl_geom_point_line_dist(0, 0, 1, 0, 1, 1);
QCOMPARE(dist, 1.);
dist = nsl_geom_point_line_dist(0, 0, 1, 1, 0, 1);
QCOMPARE(dist, M_SQRT1_2);
dist = nsl_geom_point_line_dist(0, 0, 1, 1, 1, 0);
QCOMPARE(dist, M_SQRT1_2);
// TODO: nsl_geom_point_line_dist_y
// TODO: nsl_geom_three_point_area
dist = nsl_geom_point_point_dist3(0, 0, 0, 1, 1, 1);
QCOMPARE(dist, M_SQRT3);
dist = nsl_geom_point_point_dist3(-1, -1, 1, 1, 1, 1);
QCOMPARE(dist, 2. * M_SQRT2);
}
void NSLGeomTest::testLineSim() {
const double xdata[] = {1, 2, 2.5, 3, 4, 7, 9, 11, 13, 14};
const double ydata[] = {1, 1, 1, 3, 4, 7, 8, 12, 13, 13};
const size_t n = 10;
double atol = nsl_geom_linesim_clip_diag_perpoint(xdata, ydata, n);
printf("automatic tol clip_diag_perpoint = %.15g\n", atol);
QCOMPARE(atol, 1.76918060129541);
atol = nsl_geom_linesim_clip_area_perpoint(xdata, ydata, n);
printf("automatic tol clip_area_perpoint = %.15g\n", atol);
QCOMPARE(atol, 15.6);
atol = nsl_geom_linesim_avg_dist_perpoint(xdata, ydata, n);
printf("automatic tol avg_dist = %.15g\n", atol);
QCOMPARE(atol, 1.91626789723004);
size_t index[n], i;
const double tol = 0.6;
const size_t result[] = {0, 2, 3, 6, 7, 9};
printf("* Simplification (Douglas Peucker)\n");
size_t nout = nsl_geom_linesim_douglas_peucker(xdata, ydata, n, tol, index);
double perr = nsl_geom_linesim_positional_squared_error(xdata, ydata, n, index);
double aerr = nsl_geom_linesim_area_error(xdata, ydata, n, index);
printf("pos. error = %.15g, area error = %.15g\n", perr, aerr);
QCOMPARE(nout, 6uL);
QCOMPARE(perr, 0.0378688524590164);
QCOMPARE(aerr, 0.25);
for (i = 0; i < nout; ++i)
QCOMPARE(index[i], result[i]);
const size_t no = 6;
printf("* Simplification (Douglas Peucker variant) nout = %zu\n", no);
double tolout = nsl_geom_linesim_douglas_peucker_variant(xdata, ydata, n, no, index);
perr = nsl_geom_linesim_positional_squared_error(xdata, ydata, n, index);
aerr = nsl_geom_linesim_area_error(xdata, ydata, n, index);
printf("tolout = %.15g, pos. error = %.15g, area error = %.15g)\n", tolout, perr, aerr);
QCOMPARE(tolout, 0.994505452921406);
QCOMPARE(perr, 0.0378688524590164);
QCOMPARE(aerr, 0.25);
for (i = 0; i < no; ++i)
QCOMPARE(index[i], result[i]);
const size_t np = 2;
const size_t result2[] = {0, 2, 4, 6, 8, 9};
printf("* N-th point\n");
nout = nsl_geom_linesim_nthpoint(n, np, index);
perr = nsl_geom_linesim_positional_squared_error(xdata, ydata, n, index);
aerr = nsl_geom_linesim_area_error(xdata, ydata, n, index);
printf("pos. error = %.15g, area error = %.15g\n", perr, aerr);
QCOMPARE(nout, 6uL);
QCOMPARE(perr, 0.129756097560976);
QCOMPARE(aerr, 0.525);
for (i = 0; i < nout; ++i)
QCOMPARE(index[i], result2[i]);
const double tol2 = 1.5;
const size_t result3[] = {0, 3, 5, 6, 7, 9};
printf("* Radial distance (tol = %g)\n", tol2);
nout = nsl_geom_linesim_raddist(xdata, ydata, n, tol2, index);
perr = nsl_geom_linesim_positional_squared_error(xdata, ydata, n, index);
aerr = nsl_geom_linesim_area_error(xdata, ydata, n, index);
printf("pos. error = %.15g, area error = %.15g\n", perr, aerr);
QCOMPARE(nout, 6uL);
QCOMPARE(perr, 0.1725);
QCOMPARE(aerr, 0.2);
for (i = 0; i < nout; ++i)
QCOMPARE(index[i], result3[i]);
const double tol3 = 0.5;
const size_t repeat = 3;
const size_t result4[] = {0, 2, 4, 6, 7, 9};
printf("* Perpendicular distance (repeat = %zu)\n", repeat);
nout = nsl_geom_linesim_perpdist_repeat(xdata, ydata, n, tol3, repeat, index);
perr = nsl_geom_linesim_positional_squared_error(xdata, ydata, n, index);
aerr = nsl_geom_linesim_area_error(xdata, ydata, n, index);
printf("pos. error = %.15g, area error = %.15g\n", perr, aerr);
QCOMPARE(nout, 6uL);
QCOMPARE(perr, 0.0519512195121951);
QCOMPARE(aerr, 0.275);
for (i = 0; i < nout; ++i)
QCOMPARE(index[i], result4[i]);
const double tol4 = 0.7;
printf("* Y distance (interpolation)\n");
nout = nsl_geom_linesim_interp(xdata, ydata, n, tol4, index);
perr = nsl_geom_linesim_positional_squared_error(xdata, ydata, n, index);
aerr = nsl_geom_linesim_area_error(xdata, ydata, n, index);
printf("pos. error = %.15g, area error = %.15g\n", perr, aerr);
QCOMPARE(nout, 6uL);
QCOMPARE(perr, 0.0378688524590164);
QCOMPARE(aerr, 0.25);
for (i = 0; i < nout; ++i)
QCOMPARE(index[i], result[i]);
const double tol5 = 1.6;
printf("* minimum area (Visvalingam-Whyatt)\n");
nout = nsl_geom_linesim_visvalingam_whyatt(xdata, ydata, n, tol5, index);
perr = nsl_geom_linesim_positional_squared_error(xdata, ydata, n, index);
aerr = nsl_geom_linesim_area_error(xdata, ydata, n, index);
printf("pos. error = %.15g, area error = %.15g\n", perr, aerr);
QCOMPARE(nout, 6uL);
QCOMPARE(perr, 0.1725);
QCOMPARE(aerr, 0.2);
// nout can be up to 10 when third arg of nsl_geom_linesim_visvalingam_whyatt() is 10
for (i = 0; i < std::min(nout, (size_t)6uL); ++i)
QCOMPARE(index[i], result3[i]);
const size_t result5[] = {0, 2, 3, 5, 6, 7, 9};
printf("* Perp. distance (Reumann-Witkam)\n");
nout = nsl_geom_linesim_reumann_witkam(xdata, ydata, n, tol3, index);
perr = nsl_geom_linesim_positional_squared_error(xdata, ydata, n, index);
aerr = nsl_geom_linesim_area_error(xdata, ydata, n, index);
printf("pos. error = %.15g, area error = %.15g\n", perr, aerr);
QCOMPARE(nout, 7uL);
QCOMPARE(perr, 0.01);
QCOMPARE(aerr, 0.05);
for (i = 0; i < nout; ++i)
QCOMPARE(index[i], result5[i]);
const double mintol = 2.0;
const double maxtol = 7.0;
printf("* Perp. distance (Opheim)\n");
nout = nsl_geom_linesim_opheim(xdata, ydata, n, mintol, maxtol, index);
perr = nsl_geom_linesim_positional_squared_error(xdata, ydata, n, index);
aerr = nsl_geom_linesim_area_error(xdata, ydata, n, index);
printf("pos. error = %.15g, area error = %.15g\n", perr, aerr);
QCOMPARE(nout, 6uL);
QCOMPARE(perr, 0.129756097560976);
QCOMPARE(aerr, 0.525);
for (i = 0; i < nout; ++i)
QCOMPARE(index[i], result2[i]);
const size_t region = 5;
printf("* Simplification (Lang)\n");
nout = nsl_geom_linesim_lang(xdata, ydata, n, tol3, region, index);
perr = nsl_geom_linesim_positional_squared_error(xdata, ydata, n, index);
aerr = nsl_geom_linesim_area_error(xdata, ydata, n, index);
printf("pos. error = %.15g, area error = %.15g\n", perr, aerr);
QCOMPARE(nout, 6uL);
QCOMPARE(perr, 0.0519512195121951);
QCOMPARE(aerr, 0.275);
for (i = 0; i < nout; ++i)
QCOMPARE(index[i], result4[i]);
}
#ifdef _MSC_VER // crashes on Windows
void NSLGeomTest::testLineSimMorse() {
}
#else
void NSLGeomTest::testLineSimMorse() {
printf("NSLGeomTest::testLineSimMorse()\n");
const QString fileName = m_dataDir + QStringLiteral("morse_code.dat");
FILE* file;
if ((file = fopen(fileName.toLocal8Bit().constData(), "r")) == nullptr) {
printf("ERROR reading %s. Giving up.\n", fileName.toLocal8Bit().constData());
return;
}
const int N = 152000;
const int NOUT = 15200;
printf("NSLGeomTest::testLineSimMorse(): allocating space for reading data\n");
QScopedArrayPointer<double> xdata(new double[N]);
QScopedArrayPointer<double> ydata(new double[N]);
printf("NSLGeomTest::testLineSimMorse(): reading data from file\n");
size_t i;
for (i = 0; i < N; i++) {
int num = fscanf(file, "%lf %lf", &xdata[i], &ydata[i]);
if (num != 2) { // failed to read two values
printf("ERROR reading data\n");
fclose(file);
return;
}
}
fclose(file);
double atol = nsl_geom_linesim_clip_diag_perpoint(xdata.data(), ydata.data(), N);
printf("automatic tol clip_diag_perpoint = %.15g\n", atol);
QCOMPARE(atol, 0.999993446759985);
atol = nsl_geom_linesim_clip_area_perpoint(xdata.data(), ydata.data(), N);
printf("automatic tol clip_area_perpoint = %.15g\n", atol);
QCOMPARE(atol, 34.4653732526316);
atol = nsl_geom_linesim_avg_dist_perpoint(xdata.data(), ydata.data(), N);
printf("automatic tol avg_dist = %.15g\n", atol);
QCOMPARE(atol, 4.72091524721907);
printf("* Simplification (Douglas Peucker variant) nout = %d\n", NOUT);
double tolout;
size_t index[N];
QBENCHMARK {
tolout = nsl_geom_linesim_douglas_peucker_variant(xdata.data(), ydata.data(), N, NOUT, index);
QCOMPARE(tolout, 11.5280857733246);
}
double perr = nsl_geom_linesim_positional_squared_error(xdata.data(), ydata.data(), N, index);
double aerr = nsl_geom_linesim_area_error(xdata.data(), ydata.data(), N, index);
printf("maxtol = %.15g (pos. error = %.15g, area error = %.15g)\n", tolout, perr, aerr);
QCOMPARE(perr, 11.9586266895937);
QCOMPARE(aerr, 17.558046450762);
}
#endif
// ##############################################################################
// ################# performance
// ##############################################################################
QTEST_MAIN(NSLGeomTest)
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