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#include <QtTest/QtTest>
#include <qline.h>
#include <math.h>
#ifndef M_2PI
#define M_2PI 6.28318530717958647692528676655900576
#endif
//TESTED_CLASS=
//TESTED_FILES=
class tst_QLine : public QObject
{
Q_OBJECT
public:
tst_QLine();
private slots:
void testIntersection();
void testIntersection_data();
void testLength();
void testLength_data();
void testNormalVector();
void testNormalVector_data();
void testAngle();
void testAngle_data();
void testAngle2();
void testAngle2_data();
void testAngle3();
void testAngleTo();
void testAngleTo_data();
void testSet();
};
// Square root of two
#define SQRT2 1.4142135623731
// Length of unit vector projected to x from 45 degrees
#define UNITX_45 0.707106781186547
const qreal epsilon = sizeof(qreal) == sizeof(double) ? 1e-8 : 1e-4;
tst_QLine::tst_QLine()
{
}
void tst_QLine::testSet()
{
{
QLine l;
l.setP1(QPoint(1, 2));
l.setP2(QPoint(3, 4));
QCOMPARE(l.x1(), 1);
QCOMPARE(l.y1(), 2);
QCOMPARE(l.x2(), 3);
QCOMPARE(l.y2(), 4);
l.setPoints(QPoint(5, 6), QPoint(7, 8));
QCOMPARE(l.x1(), 5);
QCOMPARE(l.y1(), 6);
QCOMPARE(l.x2(), 7);
QCOMPARE(l.y2(), 8);
l.setLine(9, 10, 11, 12);
QCOMPARE(l.x1(), 9);
QCOMPARE(l.y1(), 10);
QCOMPARE(l.x2(), 11);
QCOMPARE(l.y2(), 12);
}
{
QLineF l;
l.setP1(QPointF(1, 2));
l.setP2(QPointF(3, 4));
QCOMPARE(l.x1(), 1.0);
QCOMPARE(l.y1(), 2.0);
QCOMPARE(l.x2(), 3.0);
QCOMPARE(l.y2(), 4.0);
l.setPoints(QPointF(5, 6), QPointF(7, 8));
QCOMPARE(l.x1(), 5.0);
QCOMPARE(l.y1(), 6.0);
QCOMPARE(l.x2(), 7.0);
QCOMPARE(l.y2(), 8.0);
l.setLine(9.0, 10.0, 11.0, 12.0);
QCOMPARE(l.x1(), 9.0);
QCOMPARE(l.y1(), 10.0);
QCOMPARE(l.x2(), 11.0);
QCOMPARE(l.y2(), 12.0);
}
}
void tst_QLine::testIntersection_data()
{
QTest::addColumn<double>("xa1");
QTest::addColumn<double>("ya1");
QTest::addColumn<double>("xa2");
QTest::addColumn<double>("ya2");
QTest::addColumn<double>("xb1");
QTest::addColumn<double>("yb1");
QTest::addColumn<double>("xb2");
QTest::addColumn<double>("yb2");
QTest::addColumn<int>("type");
QTest::addColumn<double>("ix");
QTest::addColumn<double>("iy");
QTest::newRow("parallel") << 1.0 << 1.0 << 3.0 << 4.0
<< 5.0 << 6.0 << 7.0 << 9.0
<< int(QLineF::NoIntersection) << 0.0 << 0.0;
QTest::newRow("unbounded") << 1.0 << 1.0 << 5.0 << 5.0
<< 0.0 << 4.0 << 3.0 << 4.0
<< int(QLineF::UnboundedIntersection) << 4.0 << 4.0;
QTest::newRow("bounded") << 1.0 << 1.0 << 5.0 << 5.0
<< 0.0 << 4.0 << 5.0 << 4.0
<< int(QLineF::BoundedIntersection) << 4.0 << 4.0;
QTest::newRow("almost vertical") << 0.0 << 10.0 << 20.0000000000001 << 10.0
<< 10.0 << 0.0 << 10.0 << 20.0
<< int(QLineF::BoundedIntersection) << 10.0 << 10.0;
QTest::newRow("almost horizontal") << 0.0 << 10.0 << 20.0 << 10.0
<< 10.0000000000001 << 0.0 << 10.0 << 20.0
<< int(QLineF::BoundedIntersection) << 10.0 << 10.0;
QTest::newRow("task 241464") << 100.1599256468623
<< 100.7861905065196
<< 100.1599256468604
<< -9999.78619050651
<< 10.0 << 50.0 << 190.0 << 50.0
<< int(QLineF::BoundedIntersection)
<< 100.1599256468622
<< 50.0;
QLineF baseA(0, -50, 0, 50);
QLineF baseB(-50, 0, 50, 0);
for (int i = 0; i < 1000; ++i) {
QLineF a = QLineF::fromPolar(50, i);
a.setP1(-a.p2());
QLineF b = QLineF::fromPolar(50, i * 0.997 + 90);
b.setP1(-b.p2());
// make the qFuzzyCompare be a bit more lenient
a = a.translated(1, 1);
b = b.translated(1, 1);
QTest::newRow(qPrintable(QString::fromLatin1("rotation-%0").arg(i)))
<< (double)a.x1() << (double)a.y1() << (double)a.x2() << (double)a.y2()
<< (double)b.x1() << (double)b.y1() << (double)b.x2() << (double)b.y2()
<< int(QLineF::BoundedIntersection)
<< 1.0
<< 1.0;
}
}
void tst_QLine::testIntersection()
{
QFETCH(double, xa1);
QFETCH(double, ya1);
QFETCH(double, xa2);
QFETCH(double, ya2);
QFETCH(double, xb1);
QFETCH(double, yb1);
QFETCH(double, xb2);
QFETCH(double, yb2);
QFETCH(int, type);
QFETCH(double, ix);
QFETCH(double, iy);
QLineF a(xa1, ya1, xa2, ya2);
QLineF b(xb1, yb1, xb2, yb2);
QPointF ip;
QLineF::IntersectType itype = a.intersect(b, &ip);
QCOMPARE(int(itype), type);
if (type != QLineF::NoIntersection) {
QVERIFY(qAbs(ip.x() - ix) < epsilon);
QVERIFY(qAbs(ip.y() - iy) < epsilon);
}
}
void tst_QLine::testLength_data()
{
QTest::addColumn<double>("x1");
QTest::addColumn<double>("y1");
QTest::addColumn<double>("x2");
QTest::addColumn<double>("y2");
QTest::addColumn<double>("length");
QTest::addColumn<double>("lengthToSet");
QTest::addColumn<double>("vx");
QTest::addColumn<double>("vy");
QTest::newRow("[1,0]*2") << 0.0 << 0.0 << 1.0 << 0.0 << 1.0 << 2.0 << 2.0 << 0.0;
QTest::newRow("[0,1]*2") << 0.0 << 0.0 << 0.0 << 1.0 << 1.0 << 2.0 << 0.0 << 2.0;
QTest::newRow("[-1,0]*2") << 0.0 << 0.0 << -1.0 << 0.0 << 1.0 << 2.0 << -2.0 << 0.0;
QTest::newRow("[0,-1]*2") << 0.0 << 0.0 << 0.0 << -1.0 << 1.0 << 2.0 << 0.0 << -2.0;
QTest::newRow("[1,1]->|1|") << 0.0 << 0.0 << 1.0 << 1.0
<< double(SQRT2) << 1.0 << double(UNITX_45) << double(UNITX_45);
QTest::newRow("[-1,1]->|1|") << 0.0 << 0.0 << -1.0 << 1.0
<< double(SQRT2) << 1.0 << double(-UNITX_45) << double(UNITX_45);
QTest::newRow("[1,-1]->|1|") << 0.0 << 0.0 << 1.0 << -1.0
<< double(SQRT2) << 1.0 << double(UNITX_45) << double(-UNITX_45);
QTest::newRow("[-1,-1]->|1|") << 0.0 << 0.0 << -1.0 << -1.0
<< double(SQRT2) << 1.0 << double(-UNITX_45) << double(-UNITX_45);
QTest::newRow("[1,0]*2 (2,2)") << 2.0 << 2.0 << 3.0 << 2.0 << 1.0 << 2.0 << 2.0 << 0.0;
QTest::newRow("[0,1]*2 (2,2)") << 2.0 << 2.0 << 2.0 << 3.0 << 1.0 << 2.0 << 0.0 << 2.0;
QTest::newRow("[-1,0]*2 (2,2)") << 2.0 << 2.0 << 1.0 << 2.0 << 1.0 << 2.0 << -2.0 << 0.0;
QTest::newRow("[0,-1]*2 (2,2)") << 2.0 << 2.0 << 2.0 << 1.0 << 1.0 << 2.0 << 0.0 << -2.0;
QTest::newRow("[1,1]->|1| (2,2)") << 2.0 << 2.0 << 3.0 << 3.0
<< double(SQRT2) << 1.0 << double(UNITX_45) << double(UNITX_45);
QTest::newRow("[-1,1]->|1| (2,2)") << 2.0 << 2.0 << 1.0 << 3.0
<< double(SQRT2) << 1.0 << double(-UNITX_45) << double(UNITX_45);
QTest::newRow("[1,-1]->|1| (2,2)") << 2.0 << 2.0 << 3.0 << 1.0
<< double(SQRT2) << 1.0 << double(UNITX_45) << double(-UNITX_45);
QTest::newRow("[-1,-1]->|1| (2,2)") << 2.0 << 2.0 << 1.0 << 1.0
<< double(SQRT2) << 1.0 << double(-UNITX_45) << double(-UNITX_45);
}
void tst_QLine::testLength()
{
QFETCH(double, x1);
QFETCH(double, y1);
QFETCH(double, x2);
QFETCH(double, y2);
QFETCH(double, length);
QFETCH(double, lengthToSet);
QFETCH(double, vx);
QFETCH(double, vy);
QLineF l(x1, y1, x2, y2);
QCOMPARE(l.length(), qreal(length));
l.setLength(lengthToSet);
QCOMPARE(l.length(), qreal(lengthToSet));
QCOMPARE(l.dx(), qreal(vx));
QCOMPARE(l.dy(), qreal(vy));
}
void tst_QLine::testNormalVector_data()
{
QTest::addColumn<double>("x1");
QTest::addColumn<double>("y1");
QTest::addColumn<double>("x2");
QTest::addColumn<double>("y2");
QTest::addColumn<double>("nvx");
QTest::addColumn<double>("nvy");
QTest::newRow("[1, 0]") << 0.0 << 0.0 << 1.0 << 0.0 << 0.0 << -1.0;
QTest::newRow("[-1, 0]") << 0.0 << 0.0 << -1.0 << 0.0 << 0.0 << 1.0;
QTest::newRow("[0, 1]") << 0.0 << 0.0 << 0.0 << 1.0 << 1.0 << 0.0;
QTest::newRow("[0, -1]") << 0.0 << 0.0 << 0.0 << -1.0 << -1.0 << 0.0;
QTest::newRow("[2, 3]") << 2.0 << 3.0 << 4.0 << 6.0 << 3.0 << -2.0;
}
void tst_QLine::testNormalVector()
{
QFETCH(double, x1);
QFETCH(double, y1);
QFETCH(double, x2);
QFETCH(double, y2);
QFETCH(double, nvx);
QFETCH(double, nvy);
QLineF l(x1, y1, x2, y2);
QLineF n = l.normalVector();
QCOMPARE(l.x1(), n.x1());
QCOMPARE(l.y1(), n.y1());
QCOMPARE(n.dx(), qreal(nvx));
QCOMPARE(n.dy(), qreal(nvy));
}
void tst_QLine::testAngle_data()
{
QTest::addColumn<double>("xa1");
QTest::addColumn<double>("ya1");
QTest::addColumn<double>("xa2");
QTest::addColumn<double>("ya2");
QTest::addColumn<double>("xb1");
QTest::addColumn<double>("yb1");
QTest::addColumn<double>("xb2");
QTest::addColumn<double>("yb2");
QTest::addColumn<double>("angle");
QTest::newRow("parallel") << 1.0 << 1.0 << 3.0 << 4.0
<< 5.0 << 6.0 << 7.0 << 9.0
<< 0.0;
QTest::newRow("[4,4]-[4,0]") << 1.0 << 1.0 << 5.0 << 5.0
<< 0.0 << 4.0 << 3.0 << 4.0
<< 45.0;
QTest::newRow("[4,4]-[-4,0]") << 1.0 << 1.0 << 5.0 << 5.0
<< 3.0 << 4.0 << 0.0 << 4.0
<< 135.0;
for (int i=0; i<180; ++i) {
QTest::newRow(QString("angle:%1").arg(i).toLatin1())
<< 0.0 << 0.0 << double(cos(i*M_2PI/360)) << double(sin(i*M_2PI/360))
<< 0.0 << 0.0 << 1.0 << 0.0
<< double(i);
}
}
void tst_QLine::testAngle()
{
QFETCH(double, xa1);
QFETCH(double, ya1);
QFETCH(double, xa2);
QFETCH(double, ya2);
QFETCH(double, xb1);
QFETCH(double, yb1);
QFETCH(double, xb2);
QFETCH(double, yb2);
QFETCH(double, angle);
QLineF a(xa1, ya1, xa2, ya2);
QLineF b(xb1, yb1, xb2, yb2);
double resultAngle = a.angle(b);
QCOMPARE(qRound(resultAngle), qRound(angle));
}
void tst_QLine::testAngle2_data()
{
QTest::addColumn<qreal>("x1");
QTest::addColumn<qreal>("y1");
QTest::addColumn<qreal>("x2");
QTest::addColumn<qreal>("y2");
QTest::addColumn<qreal>("angle");
QTest::newRow("right") << qreal(0.0) << qreal(0.0) << qreal(10.0) << qreal(0.0) << qreal(0.0);
QTest::newRow("left") << qreal(0.0) << qreal(0.0) << qreal(-10.0) << qreal(0.0) << qreal(180.0);
QTest::newRow("up") << qreal(0.0) << qreal(0.0) << qreal(0.0) << qreal(-10.0) << qreal(90.0);
QTest::newRow("down") << qreal(0.0) << qreal(0.0) << qreal(0.0) << qreal(10.0) << qreal(270.0);
QTest::newRow("diag a") << qreal(0.0) << qreal(0.0) << qreal(10.0) << qreal(-10.0) << qreal(45.0);
QTest::newRow("diag b") << qreal(0.0) << qreal(0.0) << qreal(-10.0) << qreal(-10.0) << qreal(135.0);
QTest::newRow("diag c") << qreal(0.0) << qreal(0.0) << qreal(-10.0) << qreal(10.0) << qreal(225.0);
QTest::newRow("diag d") << qreal(0.0) << qreal(0.0) << qreal(10.0) << qreal(10.0) << qreal(315.0);
}
void tst_QLine::testAngle2()
{
QFETCH(qreal, x1);
QFETCH(qreal, y1);
QFETCH(qreal, x2);
QFETCH(qreal, y2);
QFETCH(qreal, angle);
QLineF line(x1, y1, x2, y2);
QCOMPARE(line.angle(), angle);
QLineF polar = QLineF::fromPolar(line.length(), angle);
QVERIFY(qAbs(line.x1() - polar.x1()) < epsilon);
QVERIFY(qAbs(line.y1() - polar.y1()) < epsilon);
QVERIFY(qAbs(line.x2() - polar.x2()) < epsilon);
QVERIFY(qAbs(line.y2() - polar.y2()) < epsilon);
}
void tst_QLine::testAngle3()
{
for (int i = -720; i <= 720; ++i) {
QLineF line(0, 0, 100, 0);
line.setAngle(i);
const int expected = (i + 720) % 360;
QVERIFY2(qAbs(line.angle() - qreal(expected)) < epsilon, qPrintable(QString::fromLatin1("value: %1").arg(i)));
QCOMPARE(line.length(), qreal(100.0));
QCOMPARE(QLineF::fromPolar(100.0, i), line);
}
}
void tst_QLine::testAngleTo()
{
QFETCH(qreal, xa1);
QFETCH(qreal, ya1);
QFETCH(qreal, xa2);
QFETCH(qreal, ya2);
QFETCH(qreal, xb1);
QFETCH(qreal, yb1);
QFETCH(qreal, xb2);
QFETCH(qreal, yb2);
QFETCH(qreal, angle);
QLineF a(xa1, ya1, xa2, ya2);
QLineF b(xb1, yb1, xb2, yb2);
const qreal resultAngle = a.angleTo(b);
QVERIFY(qAbs(resultAngle - angle) < epsilon);
a.translate(b.p1() - a.p1());
a.setAngle(a.angle() + resultAngle);
a.setLength(b.length());
QCOMPARE(a, b);
}
void tst_QLine::testAngleTo_data()
{
QTest::addColumn<qreal>("xa1");
QTest::addColumn<qreal>("ya1");
QTest::addColumn<qreal>("xa2");
QTest::addColumn<qreal>("ya2");
QTest::addColumn<qreal>("xb1");
QTest::addColumn<qreal>("yb1");
QTest::addColumn<qreal>("xb2");
QTest::addColumn<qreal>("yb2");
QTest::addColumn<qreal>("angle");
QTest::newRow("parallel") << qreal(1.0) << qreal(1.0) << qreal(3.0) << qreal(4.0)
<< qreal(5.0) << qreal(6.0) << qreal(7.0) << qreal(9.0)
<< qreal(0.0);
QTest::newRow("[4,4]-[4,0]") << qreal(1.0) << qreal(1.0) << qreal(5.0) << qreal(5.0)
<< qreal(0.0) << qreal(4.0) << qreal(3.0) << qreal(4.0)
<< qreal(45.0);
QTest::newRow("[4,4]-[-4,0]") << qreal(1.0) << qreal(1.0) << qreal(5.0) << qreal(5.0)
<< qreal(3.0) << qreal(4.0) << qreal(0.0) << qreal(4.0)
<< qreal(225.0);
for (int i = 0; i < 360; ++i) {
const QLineF l = QLineF::fromPolar(1, i);
QTest::newRow(QString("angle:%1").arg(i).toLatin1())
<< qreal(0.0) << qreal(0.0) << qreal(1.0) << qreal(0.0)
<< qreal(0.0) << qreal(0.0) << l.p2().x() << l.p2().y()
<< qreal(i);
}
}
QTEST_MAIN(tst_QLine)
#include "tst_qline.moc"