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qt6windows7/tests/auto/gui/math3d/qvectornd/tst_qvectornd.cpp
kleuter 85d238dfda qt 6.5.1 original
2023-10-29 23:33:08 +01:00

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// Copyright (C) 2016 The Qt Company Ltd.
// SPDX-License-Identifier: LicenseRef-Qt-Commercial OR GPL-3.0-only WITH Qt-GPL-exception-1.0
#include <QTest>
#include <QtCore/qmath.h>
#include <QtGui/qvector2d.h>
#include <QtGui/qvector3d.h>
#include <QtGui/qvector4d.h>
#include <QtGui/qmatrix4x4.h>
class tst_QVectorND : public QObject
{
Q_OBJECT
public:
tst_QVectorND() {}
~tst_QVectorND() {}
private slots:
void create2();
void create3();
void create4();
void modify2();
void modify3();
void modify4();
void length2_data();
void length2();
void length3_data();
void length3();
void length4_data();
void length4();
void normalized2_data();
void normalized2();
void normalized3_data();
void normalized3();
void normalized4_data();
void normalized4();
void normalize2_data();
void normalize2();
void normalize3_data();
void normalize3();
void normalize4_data();
void normalize4();
void compare2();
void compare3();
void compare4();
void add2_data();
void add2();
void add3_data();
void add3();
void add4_data();
void add4();
void subtract2_data();
void subtract2();
void subtract3_data();
void subtract3();
void subtract4_data();
void subtract4();
void multiply2_data();
void multiply2();
void multiply3_data();
void multiply3();
void multiply4_data();
void multiply4();
void multiplyFactor2_data();
void multiplyFactor2();
void multiplyFactor3_data();
void multiplyFactor3();
void multiplyFactor4_data();
void multiplyFactor4();
void divide2_data();
void divide2();
void divide3_data();
void divide3();
void divide4_data();
void divide4();
void divideFactor2_data();
void divideFactor2();
void divideFactor3_data();
void divideFactor3();
void divideFactor4_data();
void divideFactor4();
void negate2_data();
void negate2();
void negate3_data();
void negate3();
void negate4_data();
void negate4();
void crossProduct_data();
void crossProduct();
void normal_data();
void normal();
void distanceToPoint2_data();
void distanceToPoint2();
void distanceToPoint3_data();
void distanceToPoint3();
void distanceToPlane_data();
void distanceToPlane();
void distanceToLine2_data();
void distanceToLine2();
void distanceToLine3_data();
void distanceToLine3();
void dotProduct2_data();
void dotProduct2();
void dotProduct3_data();
void dotProduct3();
void dotProduct4_data();
void dotProduct4();
void project_data();
void project();
void unproject_data();
void unproject();
void properties();
void metaTypes();
void structuredBinding();
};
// Test the creation of QVector2D objects in various ways:
// construct, copy, and modify.
void tst_QVectorND::create2()
{
QVector2D null;
QCOMPARE(null.x(), 0.0f);
QCOMPARE(null.y(), 0.0f);
QVERIFY(null.isNull());
QVector2D nullNegativeZero(-0.0f, -0.0f);
QCOMPARE(nullNegativeZero.x(), -0.0f);
QCOMPARE(nullNegativeZero.y(), -0.0f);
QVERIFY(nullNegativeZero.isNull());
QVector2D v1(1.0f, 2.5f);
QCOMPARE(v1.x(), 1.0f);
QCOMPARE(v1.y(), 2.5f);
QVERIFY(!v1.isNull());
QVector2D v1i(1, 2);
QCOMPARE(v1i.x(), 1.0f);
QCOMPARE(v1i.y(), 2.0f);
QVERIFY(!v1i.isNull());
QVector2D v2(v1);
QCOMPARE(v2.x(), 1.0f);
QCOMPARE(v2.y(), 2.5f);
QVERIFY(!v2.isNull());
QVector2D v4;
QCOMPARE(v4.x(), 0.0f);
QCOMPARE(v4.y(), 0.0f);
QVERIFY(v4.isNull());
v4 = v1;
QCOMPARE(v4.x(), 1.0f);
QCOMPARE(v4.y(), 2.5f);
QVERIFY(!v4.isNull());
QVector2D v5(QPoint(1, 2));
QCOMPARE(v5.x(), 1.0f);
QCOMPARE(v5.y(), 2.0f);
QVERIFY(!v5.isNull());
QVector2D v6(QPointF(1, 2.5));
QCOMPARE(v6.x(), 1.0f);
QCOMPARE(v6.y(), 2.5f);
QVERIFY(!v6.isNull());
QVector2D v7(QVector3D(1.0f, 2.5f, 54.25f));
QCOMPARE(v7.x(), 1.0f);
QCOMPARE(v7.y(), 2.5f);
QVERIFY(!v6.isNull());
QVector2D v8(QVector4D(1.0f, 2.5f, 54.25f, 34.0f));
QCOMPARE(v8.x(), 1.0f);
QCOMPARE(v8.y(), 2.5f);
QVERIFY(!v6.isNull());
v1.setX(3.0f);
QCOMPARE(v1.x(), 3.0f);
QCOMPARE(v1.y(), 2.5f);
QVERIFY(!v1.isNull());
v1.setY(10.5f);
QCOMPARE(v1.x(), 3.0f);
QCOMPARE(v1.y(), 10.5f);
QVERIFY(!v1.isNull());
v1.setX(0.0f);
v1.setY(0.0f);
QCOMPARE(v1.x(), 0.0f);
QCOMPARE(v1.y(), 0.0f);
QVERIFY(v1.isNull());
QPoint p1 = v8.toPoint();
QCOMPARE(p1.x(), 1);
QCOMPARE(p1.y(), 3);
QPointF p2 = v8.toPointF();
QCOMPARE(p2.x(), 1.0f);
QCOMPARE(p2.y(), 2.5f);
QVector3D v9 = v8.toVector3D();
QCOMPARE(v9.x(), 1.0f);
QCOMPARE(v9.y(), 2.5f);
QCOMPARE(v9.z(), 0.0f);
QVector4D v10 = v8.toVector4D();
QCOMPARE(v10.x(), 1.0f);
QCOMPARE(v10.y(), 2.5f);
QCOMPARE(v10.z(), 0.0f);
QCOMPARE(v10.w(), 0.0f);
}
// Test the creation of QVector3D objects in various ways:
// construct, copy, and modify.
void tst_QVectorND::create3()
{
QVector3D null;
QCOMPARE(null.x(), 0.0f);
QCOMPARE(null.y(), 0.0f);
QCOMPARE(null.z(), 0.0f);
QVERIFY(null.isNull());
QVector3D nullNegativeZero(-0.0f, -0.0f, -0.0f);
QCOMPARE(nullNegativeZero.x(), -0.0f);
QCOMPARE(nullNegativeZero.y(), -0.0f);
QCOMPARE(nullNegativeZero.z(), -0.0f);
QVERIFY(nullNegativeZero.isNull());
QVector3D v1(1.0f, 2.5f, -89.25f);
QCOMPARE(v1.x(), 1.0f);
QCOMPARE(v1.y(), 2.5f);
QCOMPARE(v1.z(), -89.25f);
QVERIFY(!v1.isNull());
QVector3D v1i(1, 2, -89);
QCOMPARE(v1i.x(), 1.0f);
QCOMPARE(v1i.y(), 2.0f);
QCOMPARE(v1i.z(), -89.0f);
QVERIFY(!v1i.isNull());
QVector3D v2(v1);
QCOMPARE(v2.x(), 1.0f);
QCOMPARE(v2.y(), 2.5f);
QCOMPARE(v2.z(), -89.25f);
QVERIFY(!v2.isNull());
QVector3D v3(1.0f, 2.5f, 0.0f);
QCOMPARE(v3.x(), 1.0f);
QCOMPARE(v3.y(), 2.5f);
QCOMPARE(v3.z(), 0.0f);
QVERIFY(!v3.isNull());
QVector3D v3i(1, 2, 0);
QCOMPARE(v3i.x(), 1.0f);
QCOMPARE(v3i.y(), 2.0f);
QCOMPARE(v3i.z(), 0.0f);
QVERIFY(!v3i.isNull());
QVector3D v4;
QCOMPARE(v4.x(), 0.0f);
QCOMPARE(v4.y(), 0.0f);
QCOMPARE(v4.z(), 0.0f);
QVERIFY(v4.isNull());
v4 = v1;
QCOMPARE(v4.x(), 1.0f);
QCOMPARE(v4.y(), 2.5f);
QCOMPARE(v4.z(), -89.25f);
QVERIFY(!v4.isNull());
QVector3D v5(QPoint(1, 2));
QCOMPARE(v5.x(), 1.0f);
QCOMPARE(v5.y(), 2.0f);
QCOMPARE(v5.z(), 0.0f);
QVERIFY(!v5.isNull());
QVector3D v6(QPointF(1, 2.5));
QCOMPARE(v6.x(), 1.0f);
QCOMPARE(v6.y(), 2.5f);
QCOMPARE(v6.z(), 0.0f);
QVERIFY(!v6.isNull());
QVector3D v7(QVector2D(1.0f, 2.5f));
QCOMPARE(v7.x(), 1.0f);
QCOMPARE(v7.y(), 2.5f);
QCOMPARE(v7.z(), 0.0f);
QVERIFY(!v7.isNull());
QVector3D v8(QVector2D(1.0f, 2.5f), 54.25f);
QCOMPARE(v8.x(), 1.0f);
QCOMPARE(v8.y(), 2.5f);
QCOMPARE(v8.z(), 54.25f);
QVERIFY(!v8.isNull());
QVector3D v9(QVector4D(1.0f, 2.5f, 54.25f, 34.0f));
QCOMPARE(v9.x(), 1.0f);
QCOMPARE(v9.y(), 2.5f);
QCOMPARE(v9.z(), 54.25f);
QVERIFY(!v9.isNull());
v1.setX(3.0f);
QCOMPARE(v1.x(), 3.0f);
QCOMPARE(v1.y(), 2.5f);
QCOMPARE(v1.z(), -89.25f);
QVERIFY(!v1.isNull());
v1.setY(10.5f);
QCOMPARE(v1.x(), 3.0f);
QCOMPARE(v1.y(), 10.5f);
QCOMPARE(v1.z(), -89.25f);
QVERIFY(!v1.isNull());
v1.setZ(15.5f);
QCOMPARE(v1.x(), 3.0f);
QCOMPARE(v1.y(), 10.5f);
QCOMPARE(v1.z(), 15.5f);
QVERIFY(!v1.isNull());
v1.setX(0.0f);
v1.setY(0.0f);
v1.setZ(0.0f);
QCOMPARE(v1.x(), 0.0f);
QCOMPARE(v1.y(), 0.0f);
QCOMPARE(v1.z(), 0.0f);
QVERIFY(v1.isNull());
QPoint p1 = v8.toPoint();
QCOMPARE(p1.x(), 1);
QCOMPARE(p1.y(), 3);
QPointF p2 = v8.toPointF();
QCOMPARE(p2.x(), 1.0f);
QCOMPARE(p2.y(), 2.5f);
QVector2D v10 = v8.toVector2D();
QCOMPARE(v10.x(), 1.0f);
QCOMPARE(v10.y(), 2.5f);
QVector4D v11 = v8.toVector4D();
QCOMPARE(v11.x(), 1.0f);
QCOMPARE(v11.y(), 2.5f);
QCOMPARE(v11.z(), 54.25f);
QCOMPARE(v11.w(), 0.0f);
}
// Test the creation of QVector4D objects in various ways:
// construct, copy, and modify.
void tst_QVectorND::create4()
{
QVector4D null;
QCOMPARE(null.x(), 0.0f);
QCOMPARE(null.y(), 0.0f);
QCOMPARE(null.z(), 0.0f);
QCOMPARE(null.w(), 0.0f);
QVERIFY(null.isNull());
QVector4D nullNegativeZero(-0.0f, -0.0f, -0.0f, -0.0f);
QCOMPARE(nullNegativeZero.x(), -0.0f);
QCOMPARE(nullNegativeZero.y(), -0.0f);
QCOMPARE(nullNegativeZero.z(), -0.0f);
QCOMPARE(nullNegativeZero.w(), -0.0f);
QVERIFY(nullNegativeZero.isNull());
QVector4D v1(1.0f, 2.5f, -89.25f, 34.0f);
QCOMPARE(v1.x(), 1.0f);
QCOMPARE(v1.y(), 2.5f);
QCOMPARE(v1.z(), -89.25f);
QCOMPARE(v1.w(), 34.0f);
QVERIFY(!v1.isNull());
QVector4D v1i(1, 2, -89, 34);
QCOMPARE(v1i.x(), 1.0f);
QCOMPARE(v1i.y(), 2.0f);
QCOMPARE(v1i.z(), -89.0f);
QCOMPARE(v1i.w(), 34.0f);
QVERIFY(!v1i.isNull());
QVector4D v2(v1);
QCOMPARE(v2.x(), 1.0f);
QCOMPARE(v2.y(), 2.5f);
QCOMPARE(v2.z(), -89.25f);
QCOMPARE(v2.w(), 34.0f);
QVERIFY(!v2.isNull());
QVector4D v3(1.0f, 2.5f, 0.0f, 0.0f);
QCOMPARE(v3.x(), 1.0f);
QCOMPARE(v3.y(), 2.5f);
QCOMPARE(v3.z(), 0.0f);
QCOMPARE(v3.w(), 0.0f);
QVERIFY(!v3.isNull());
QVector4D v3i(1, 2, 0, 0);
QCOMPARE(v3i.x(), 1.0f);
QCOMPARE(v3i.y(), 2.0f);
QCOMPARE(v3i.z(), 0.0f);
QCOMPARE(v3i.w(), 0.0f);
QVERIFY(!v3i.isNull());
QVector4D v3b(1.0f, 2.5f, -89.25f, 0.0f);
QCOMPARE(v3b.x(), 1.0f);
QCOMPARE(v3b.y(), 2.5f);
QCOMPARE(v3b.z(), -89.25f);
QCOMPARE(v3b.w(), 0.0f);
QVERIFY(!v3b.isNull());
QVector4D v3bi(1, 2, -89, 0);
QCOMPARE(v3bi.x(), 1.0f);
QCOMPARE(v3bi.y(), 2.0f);
QCOMPARE(v3bi.z(), -89.0f);
QCOMPARE(v3bi.w(), 0.0f);
QVERIFY(!v3bi.isNull());
QVector4D v4;
QCOMPARE(v4.x(), 0.0f);
QCOMPARE(v4.y(), 0.0f);
QCOMPARE(v4.z(), 0.0f);
QCOMPARE(v4.w(), 0.0f);
QVERIFY(v4.isNull());
v4 = v1;
QCOMPARE(v4.x(), 1.0f);
QCOMPARE(v4.y(), 2.5f);
QCOMPARE(v4.z(), -89.25f);
QCOMPARE(v4.w(), 34.0f);
QVERIFY(!v4.isNull());
QVector4D v5(QPoint(1, 2));
QCOMPARE(v5.x(), 1.0f);
QCOMPARE(v5.y(), 2.0f);
QCOMPARE(v5.z(), 0.0f);
QCOMPARE(v5.w(), 0.0f);
QVERIFY(!v5.isNull());
QVector4D v6(QPointF(1, 2.5));
QCOMPARE(v6.x(), 1.0f);
QCOMPARE(v6.y(), 2.5f);
QCOMPARE(v6.z(), 0.0f);
QCOMPARE(v6.w(), 0.0f);
QVERIFY(!v6.isNull());
QVector4D v7(QVector2D(1.0f, 2.5f));
QCOMPARE(v7.x(), 1.0f);
QCOMPARE(v7.y(), 2.5f);
QCOMPARE(v7.z(), 0.0f);
QCOMPARE(v7.w(), 0.0f);
QVERIFY(!v7.isNull());
QVector4D v8(QVector3D(1.0f, 2.5f, -89.25f));
QCOMPARE(v8.x(), 1.0f);
QCOMPARE(v8.y(), 2.5f);
QCOMPARE(v8.z(), -89.25f);
QCOMPARE(v8.w(), 0.0f);
QVERIFY(!v8.isNull());
QVector4D v9(QVector3D(1.0f, 2.5f, -89.25f), 34);
QCOMPARE(v9.x(), 1.0f);
QCOMPARE(v9.y(), 2.5f);
QCOMPARE(v9.z(), -89.25f);
QCOMPARE(v9.w(), 34.0f);
QVERIFY(!v9.isNull());
QVector4D v10(QVector2D(1.0f, 2.5f), 23.5f, -8);
QCOMPARE(v10.x(), 1.0f);
QCOMPARE(v10.y(), 2.5f);
QCOMPARE(v10.z(), 23.5f);
QCOMPARE(v10.w(), -8.0f);
QVERIFY(!v10.isNull());
v1.setX(3.0f);
QCOMPARE(v1.x(), 3.0f);
QCOMPARE(v1.y(), 2.5f);
QCOMPARE(v1.z(), -89.25f);
QCOMPARE(v1.w(), 34.0f);
QVERIFY(!v1.isNull());
v1.setY(10.5f);
QCOMPARE(v1.x(), 3.0f);
QCOMPARE(v1.y(), 10.5f);
QCOMPARE(v1.z(), -89.25f);
QCOMPARE(v1.w(), 34.0f);
QVERIFY(!v1.isNull());
v1.setZ(15.5f);
QCOMPARE(v1.x(), 3.0f);
QCOMPARE(v1.y(), 10.5f);
QCOMPARE(v1.z(), 15.5f);
QCOMPARE(v1.w(), 34.0f);
QVERIFY(!v1.isNull());
v1.setW(6.0f);
QCOMPARE(v1.x(), 3.0f);
QCOMPARE(v1.y(), 10.5f);
QCOMPARE(v1.z(), 15.5f);
QCOMPARE(v1.w(), 6.0f);
QVERIFY(!v1.isNull());
v1.setX(0.0f);
v1.setY(0.0f);
v1.setZ(0.0f);
v1.setW(0.0f);
QCOMPARE(v1.x(), 0.0f);
QCOMPARE(v1.y(), 0.0f);
QCOMPARE(v1.z(), 0.0f);
QCOMPARE(v1.w(), 0.0f);
QVERIFY(v1.isNull());
QPoint p1 = v8.toPoint();
QCOMPARE(p1.x(), 1);
QCOMPARE(p1.y(), 3);
QPointF p2 = v8.toPointF();
QCOMPARE(p2.x(), 1.0f);
QCOMPARE(p2.y(), 2.5f);
QVector2D v11 = v8.toVector2D();
QCOMPARE(v11.x(), 1.0f);
QCOMPARE(v11.y(), 2.5f);
QVector3D v12 = v8.toVector3D();
QCOMPARE(v12.x(), 1.0f);
QCOMPARE(v12.y(), 2.5f);
QCOMPARE(v12.z(), -89.25f);
QVector2D v13 = v9.toVector2DAffine();
QVERIFY(qFuzzyCompare(v13.x(), (1.0f / 34.0f)));
QVERIFY(qFuzzyCompare(v13.y(), (2.5f / 34.0f)));
QVector4D zerow(1.0f, 2.0f, 3.0f, 0.0f);
v13 = zerow.toVector2DAffine();
QVERIFY(v13.isNull());
QVector3D v14 = v9.toVector3DAffine();
QVERIFY(qFuzzyCompare(v14.x(), (1.0f / 34.0f)));
QVERIFY(qFuzzyCompare(v14.y(), (2.5f / 34.0f)));
QVERIFY(qFuzzyCompare(v14.z(), (-89.25f / 34.0f)));
v14 = zerow.toVector3DAffine();
QVERIFY(v14.isNull());
}
// Test modifying vectors in various ways
void tst_QVectorND::modify2()
{
const float e = 2.7182818f;
const float pi = 3.14159f;
const QVector2D p(e, pi);
QVector2D p1;
p1.setX(e);
p1.setY(pi);
QVERIFY(qFuzzyCompare(p, p1));
QVector2D p2;
p2[0] = e;
p2[1] = pi;
QVERIFY(qFuzzyCompare(p, p2));
QVector2D p3;
for (int i = 0; i < 2; ++i)
p3[i] = p[i];
QVERIFY(qFuzzyCompare(p, p3));
}
void tst_QVectorND::modify3()
{
const float one = 1.0f;
const float e = 2.7182818f;
const float pi = 3.14159f;
const QVector3D p(one, e, pi);
QVector3D p1;
p1.setX(one);
p1.setY(e);
p1.setZ(pi);
QVERIFY(qFuzzyCompare(p, p1));
QVector3D p2;
p2[0] = one;
p2[1] = e;
p2[2] = pi;
QVERIFY(qFuzzyCompare(p, p2));
QVector3D p3;
for (int i = 0; i < 3; ++i)
p3[i] = p[i];
QVERIFY(qFuzzyCompare(p, p3));
}
void tst_QVectorND::modify4()
{
const float one = 1.0f;
const float e = 2.7182818f;
const float pi = 3.14159f;
const float big = 1.0e6f;
const QVector4D p(one, e, pi, big);
QVector4D p1;
p1.setX(one);
p1.setY(e);
p1.setZ(pi);
p1.setW(big);
QVERIFY(qFuzzyCompare(p, p1));
QVector4D p2;
p2[0] = one;
p2[1] = e;
p2[2] = pi;
p2[3] = big;
QVERIFY(qFuzzyCompare(p, p2));
QVector4D p3;
for (int i = 0; i < 4; ++i)
p3[i] = p[i];
QVERIFY(qFuzzyCompare(p, p3));
}
// Test vector length computation for 2D vectors.
void tst_QVectorND::length2_data()
{
QTest::addColumn<float>("x");
QTest::addColumn<float>("y");
QTest::addColumn<float>("len");
QTest::newRow("null") << 0.0f << 0.0f << 0.0f;
QTest::newRow("1x") << 1.0f << 0.0f << 1.0f;
QTest::newRow("1y") << 0.0f << 1.0f << 1.0f;
QTest::newRow("-1x") << -1.0f << 0.0f << 1.0f;
QTest::newRow("-1y") << 0.0f << -1.0f << 1.0f;
QTest::newRow("two") << 2.0f << -2.0f << std::sqrt(8.0f);
}
void tst_QVectorND::length2()
{
QFETCH(float, x);
QFETCH(float, y);
QFETCH(float, len);
QVector2D v(x, y);
QCOMPARE(v.length(), len);
QCOMPARE(v.lengthSquared(), x * x + y * y);
}
// Test vector length computation for 3D vectors.
void tst_QVectorND::length3_data()
{
QTest::addColumn<float>("x");
QTest::addColumn<float>("y");
QTest::addColumn<float>("z");
QTest::addColumn<float>("len");
QTest::newRow("null") << 0.0f << 0.0f << 0.0f << 0.0f;
QTest::newRow("1x") << 1.0f << 0.0f << 0.0f << 1.0f;
QTest::newRow("1y") << 0.0f << 1.0f << 0.0f << 1.0f;
QTest::newRow("1z") << 0.0f << 0.0f << 1.0f << 1.0f;
QTest::newRow("-1x") << -1.0f << 0.0f << 0.0f << 1.0f;
QTest::newRow("-1y") << 0.0f << -1.0f << 0.0f << 1.0f;
QTest::newRow("-1z") << 0.0f << 0.0f << -1.0f << 1.0f;
QTest::newRow("two") << 2.0f << -2.0f << 2.0f << std::sqrt(12.0f);
}
void tst_QVectorND::length3()
{
QFETCH(float, x);
QFETCH(float, y);
QFETCH(float, z);
QFETCH(float, len);
QVector3D v(x, y, z);
QCOMPARE(v.length(), len);
QCOMPARE(v.lengthSquared(), x * x + y * y + z * z);
}
// Test vector length computation for 4D vectors.
void tst_QVectorND::length4_data()
{
QTest::addColumn<float>("x");
QTest::addColumn<float>("y");
QTest::addColumn<float>("z");
QTest::addColumn<float>("w");
QTest::addColumn<float>("len");
QTest::newRow("null") << 0.0f << 0.0f << 0.0f << 0.0f << 0.0f;
QTest::newRow("1x") << 1.0f << 0.0f << 0.0f << 0.0f << 1.0f;
QTest::newRow("1y") << 0.0f << 1.0f << 0.0f << 0.0f << 1.0f;
QTest::newRow("1z") << 0.0f << 0.0f << 1.0f << 0.0f << 1.0f;
QTest::newRow("1w") << 0.0f << 0.0f << 0.0f << 1.0f << 1.0f;
QTest::newRow("-1x") << -1.0f << 0.0f << 0.0f << 0.0f << 1.0f;
QTest::newRow("-1y") << 0.0f << -1.0f << 0.0f << 0.0f << 1.0f;
QTest::newRow("-1z") << 0.0f << 0.0f << -1.0f << 0.0f << 1.0f;
QTest::newRow("-1w") << 0.0f << 0.0f << 0.0f << -1.0f << 1.0f;
QTest::newRow("two") << 2.0f << -2.0f << 2.0f << 2.0f << std::sqrt(16.0f);
}
void tst_QVectorND::length4()
{
QFETCH(float, x);
QFETCH(float, y);
QFETCH(float, z);
QFETCH(float, w);
QFETCH(float, len);
QVector4D v(x, y, z, w);
QCOMPARE(v.length(), len);
QCOMPARE(v.lengthSquared(), x * x + y * y + z * z + w * w);
}
// Test the unit vector conversion for 2D vectors.
void tst_QVectorND::normalized2_data()
{
// Use the same test data as the length test.
length2_data();
}
void tst_QVectorND::normalized2()
{
QFETCH(float, x);
QFETCH(float, y);
QFETCH(float, len);
QVector2D v(x, y);
QVector2D u = v.normalized();
if (v.isNull())
QVERIFY(u.isNull());
else
QVERIFY(qFuzzyCompare(u.length(), 1.0f));
QVERIFY(qFuzzyCompare(u.x() * len, v.x()));
QVERIFY(qFuzzyCompare(u.y() * len, v.y()));
}
// Test the unit vector conversion for 3D vectors.
void tst_QVectorND::normalized3_data()
{
// Use the same test data as the length test.
length3_data();
}
void tst_QVectorND::normalized3()
{
QFETCH(float, x);
QFETCH(float, y);
QFETCH(float, z);
QFETCH(float, len);
QVector3D v(x, y, z);
QVector3D u = v.normalized();
if (v.isNull())
QVERIFY(u.isNull());
else
QVERIFY(qFuzzyCompare(u.length(), 1.0f));
QVERIFY(qFuzzyCompare(u.x() * len, v.x()));
QVERIFY(qFuzzyCompare(u.y() * len, v.y()));
QVERIFY(qFuzzyCompare(u.z() * len, v.z()));
}
// Test the unit vector conversion for 4D vectors.
void tst_QVectorND::normalized4_data()
{
// Use the same test data as the length test.
length4_data();
}
void tst_QVectorND::normalized4()
{
QFETCH(float, x);
QFETCH(float, y);
QFETCH(float, z);
QFETCH(float, w);
QFETCH(float, len);
QVector4D v(x, y, z, w);
QVector4D u = v.normalized();
if (v.isNull())
QVERIFY(u.isNull());
else
QVERIFY(qFuzzyCompare(u.length(), 1.0f));
QVERIFY(qFuzzyCompare(u.x() * len, v.x()));
QVERIFY(qFuzzyCompare(u.y() * len, v.y()));
QVERIFY(qFuzzyCompare(u.z() * len, v.z()));
QVERIFY(qFuzzyCompare(u.w() * len, v.w()));
}
// Test the unit vector conversion for 2D vectors.
void tst_QVectorND::normalize2_data()
{
// Use the same test data as the length test.
length2_data();
}
void tst_QVectorND::normalize2()
{
QFETCH(float, x);
QFETCH(float, y);
QVector2D v(x, y);
bool isNull = v.isNull();
v.normalize();
if (isNull)
QVERIFY(v.isNull());
else
QVERIFY(qFuzzyCompare(v.length(), 1.0f));
}
// Test the unit vector conversion for 3D vectors.
void tst_QVectorND::normalize3_data()
{
// Use the same test data as the length test.
length3_data();
}
void tst_QVectorND::normalize3()
{
QFETCH(float, x);
QFETCH(float, y);
QFETCH(float, z);
QVector3D v(x, y, z);
bool isNull = v.isNull();
v.normalize();
if (isNull)
QVERIFY(v.isNull());
else
QVERIFY(qFuzzyCompare(v.length(), 1.0f));
}
// Test the unit vector conversion for 4D vectors.
void tst_QVectorND::normalize4_data()
{
// Use the same test data as the length test.
length4_data();
}
void tst_QVectorND::normalize4()
{
QFETCH(float, x);
QFETCH(float, y);
QFETCH(float, z);
QFETCH(float, w);
QVector4D v(x, y, z, w);
bool isNull = v.isNull();
v.normalize();
if (isNull)
QVERIFY(v.isNull());
else
QVERIFY(qFuzzyCompare(v.length(), 1.0f));
}
// Test the comparison operators for 2D vectors.
void tst_QVectorND::compare2()
{
QVector2D v1(1, 2);
QVector2D v2(1, 2);
QVector2D v3(3, 2);
QVector2D v4(1, 3);
QCOMPARE(v1, v2);
QVERIFY(v1 != v3);
QVERIFY(v1 != v4);
}
// Test the comparison operators for 3D vectors.
void tst_QVectorND::compare3()
{
QVector3D v1(1, 2, 4);
QVector3D v2(1, 2, 4);
QVector3D v3(3, 2, 4);
QVector3D v4(1, 3, 4);
QVector3D v5(1, 2, 3);
QCOMPARE(v1, v2);
QVERIFY(v1 != v3);
QVERIFY(v1 != v4);
QVERIFY(v1 != v5);
}
// Test the comparison operators for 4D vectors.
void tst_QVectorND::compare4()
{
QVector4D v1(1, 2, 4, 8);
QVector4D v2(1, 2, 4, 8);
QVector4D v3(3, 2, 4, 8);
QVector4D v4(1, 3, 4, 8);
QVector4D v5(1, 2, 3, 8);
QVector4D v6(1, 2, 4, 3);
QCOMPARE(v1, v2);
QVERIFY(v1 != v3);
QVERIFY(v1 != v4);
QVERIFY(v1 != v5);
QVERIFY(v1 != v6);
}
// Test vector addition for 2D vectors.
void tst_QVectorND::add2_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::addColumn<float>("x3");
QTest::addColumn<float>("y3");
QTest::newRow("null")
<< 0.0f << 0.0f
<< 0.0f << 0.0f
<< 0.0f << 0.0f;
QTest::newRow("xonly")
<< 1.0f << 0.0f
<< 2.0f << 0.0f
<< 3.0f << 0.0f;
QTest::newRow("yonly")
<< 0.0f << 1.0f
<< 0.0f << 2.0f
<< 0.0f << 3.0f;
QTest::newRow("all")
<< 1.0f << 2.0f
<< 4.0f << 5.0f
<< 5.0f << 7.0f;
}
void tst_QVectorND::add2()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, x3);
QFETCH(float, y3);
QVector2D v1(x1, y1);
QVector2D v2(x2, y2);
QVector2D v3(x3, y3);
QVERIFY((v1 + v2) == v3);
QVector2D v4(v1);
v4 += v2;
QCOMPARE(v4, v3);
QCOMPARE(v4.x(), v1.x() + v2.x());
QCOMPARE(v4.y(), v1.y() + v2.y());
}
// Test vector addition for 3D vectors.
void tst_QVectorND::add3_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("z1");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::addColumn<float>("z2");
QTest::addColumn<float>("x3");
QTest::addColumn<float>("y3");
QTest::addColumn<float>("z3");
QTest::newRow("null")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f;
QTest::newRow("xonly")
<< 1.0f << 0.0f << 0.0f
<< 2.0f << 0.0f << 0.0f
<< 3.0f << 0.0f << 0.0f;
QTest::newRow("yonly")
<< 0.0f << 1.0f << 0.0f
<< 0.0f << 2.0f << 0.0f
<< 0.0f << 3.0f << 0.0f;
QTest::newRow("zonly")
<< 0.0f << 0.0f << 1.0f
<< 0.0f << 0.0f << 2.0f
<< 0.0f << 0.0f << 3.0f;
QTest::newRow("all")
<< 1.0f << 2.0f << 3.0f
<< 4.0f << 5.0f << -6.0f
<< 5.0f << 7.0f << -3.0f;
}
void tst_QVectorND::add3()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
QVector3D v3(x3, y3, z3);
QVERIFY((v1 + v2) == v3);
QVector3D v4(v1);
v4 += v2;
QCOMPARE(v4, v3);
QCOMPARE(v4.x(), v1.x() + v2.x());
QCOMPARE(v4.y(), v1.y() + v2.y());
QCOMPARE(v4.z(), v1.z() + v2.z());
}
// Test vector addition for 4D vectors.
void tst_QVectorND::add4_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("z1");
QTest::addColumn<float>("w1");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::addColumn<float>("z2");
QTest::addColumn<float>("w2");
QTest::addColumn<float>("x3");
QTest::addColumn<float>("y3");
QTest::addColumn<float>("z3");
QTest::addColumn<float>("w3");
QTest::newRow("null")
<< 0.0f << 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f << 0.0f;
QTest::newRow("xonly")
<< 1.0f << 0.0f << 0.0f << 0.0f
<< 2.0f << 0.0f << 0.0f << 0.0f
<< 3.0f << 0.0f << 0.0f << 0.0f;
QTest::newRow("yonly")
<< 0.0f << 1.0f << 0.0f << 0.0f
<< 0.0f << 2.0f << 0.0f << 0.0f
<< 0.0f << 3.0f << 0.0f << 0.0f;
QTest::newRow("zonly")
<< 0.0f << 0.0f << 1.0f << 0.0f
<< 0.0f << 0.0f << 2.0f << 0.0f
<< 0.0f << 0.0f << 3.0f << 0.0f;
QTest::newRow("wonly")
<< 0.0f << 0.0f << 0.0f << 1.0f
<< 0.0f << 0.0f << 0.0f << 2.0f
<< 0.0f << 0.0f << 0.0f << 3.0f;
QTest::newRow("all")
<< 1.0f << 2.0f << 3.0f << 8.0f
<< 4.0f << 5.0f << -6.0f << 9.0f
<< 5.0f << 7.0f << -3.0f << 17.0f;
}
void tst_QVectorND::add4()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, w1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, w2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QFETCH(float, w3);
QVector4D v1(x1, y1, z1, w1);
QVector4D v2(x2, y2, z2, w2);
QVector4D v3(x3, y3, z3, w3);
QVERIFY((v1 + v2) == v3);
QVector4D v4(v1);
v4 += v2;
QCOMPARE(v4, v3);
QCOMPARE(v4.x(), v1.x() + v2.x());
QCOMPARE(v4.y(), v1.y() + v2.y());
QCOMPARE(v4.z(), v1.z() + v2.z());
QCOMPARE(v4.w(), v1.w() + v2.w());
}
// Test vector subtraction for 2D vectors.
void tst_QVectorND::subtract2_data()
{
// Use the same test data as the add test.
add2_data();
}
void tst_QVectorND::subtract2()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, x3);
QFETCH(float, y3);
QVector2D v1(x1, y1);
QVector2D v2(x2, y2);
QVector2D v3(x3, y3);
QVERIFY((v3 - v1) == v2);
QVERIFY((v3 - v2) == v1);
QVector2D v4(v3);
v4 -= v1;
QCOMPARE(v4, v2);
QCOMPARE(v4.x(), v3.x() - v1.x());
QCOMPARE(v4.y(), v3.y() - v1.y());
QVector2D v5(v3);
v5 -= v2;
QCOMPARE(v5, v1);
QCOMPARE(v5.x(), v3.x() - v2.x());
QCOMPARE(v5.y(), v3.y() - v2.y());
}
// Test vector subtraction for 3D vectors.
void tst_QVectorND::subtract3_data()
{
// Use the same test data as the add test.
add3_data();
}
void tst_QVectorND::subtract3()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
QVector3D v3(x3, y3, z3);
QVERIFY((v3 - v1) == v2);
QVERIFY((v3 - v2) == v1);
QVector3D v4(v3);
v4 -= v1;
QCOMPARE(v4, v2);
QCOMPARE(v4.x(), v3.x() - v1.x());
QCOMPARE(v4.y(), v3.y() - v1.y());
QCOMPARE(v4.z(), v3.z() - v1.z());
QVector3D v5(v3);
v5 -= v2;
QCOMPARE(v5, v1);
QCOMPARE(v5.x(), v3.x() - v2.x());
QCOMPARE(v5.y(), v3.y() - v2.y());
QCOMPARE(v5.z(), v3.z() - v2.z());
}
// Test vector subtraction for 4D vectors.
void tst_QVectorND::subtract4_data()
{
// Use the same test data as the add test.
add4_data();
}
void tst_QVectorND::subtract4()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, w1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, w2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QFETCH(float, w3);
QVector4D v1(x1, y1, z1, w1);
QVector4D v2(x2, y2, z2, w2);
QVector4D v3(x3, y3, z3, w3);
QVERIFY((v3 - v1) == v2);
QVERIFY((v3 - v2) == v1);
QVector4D v4(v3);
v4 -= v1;
QCOMPARE(v4, v2);
QCOMPARE(v4.x(), v3.x() - v1.x());
QCOMPARE(v4.y(), v3.y() - v1.y());
QCOMPARE(v4.z(), v3.z() - v1.z());
QCOMPARE(v4.w(), v3.w() - v1.w());
QVector4D v5(v3);
v5 -= v2;
QCOMPARE(v5, v1);
QCOMPARE(v5.x(), v3.x() - v2.x());
QCOMPARE(v5.y(), v3.y() - v2.y());
QCOMPARE(v5.z(), v3.z() - v2.z());
QCOMPARE(v5.w(), v3.w() - v2.w());
}
// Test component-wise vector multiplication for 2D vectors.
void tst_QVectorND::multiply2_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::addColumn<float>("x3");
QTest::addColumn<float>("y3");
QTest::newRow("null")
<< 0.0f << 0.0f
<< 0.0f << 0.0f
<< 0.0f << 0.0f;
QTest::newRow("xonly")
<< 1.0f << 0.0f
<< 2.0f << 0.0f
<< 2.0f << 0.0f;
QTest::newRow("yonly")
<< 0.0f << 1.0f
<< 0.0f << 2.0f
<< 0.0f << 2.0f;
QTest::newRow("all")
<< 1.0f << 2.0f
<< 4.0f << 5.0f
<< 4.0f << 10.0f;
}
void tst_QVectorND::multiply2()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, x3);
QFETCH(float, y3);
QVector2D v1(x1, y1);
QVector2D v2(x2, y2);
QVector2D v3(x3, y3);
QVERIFY((v1 * v2) == v3);
QVector2D v4(v1);
v4 *= v2;
QCOMPARE(v4, v3);
QCOMPARE(v4.x(), v1.x() * v2.x());
QCOMPARE(v4.y(), v1.y() * v2.y());
}
// Test component-wise vector multiplication for 3D vectors.
void tst_QVectorND::multiply3_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("z1");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::addColumn<float>("z2");
QTest::addColumn<float>("x3");
QTest::addColumn<float>("y3");
QTest::addColumn<float>("z3");
QTest::newRow("null")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f;
QTest::newRow("xonly")
<< 1.0f << 0.0f << 0.0f
<< 2.0f << 0.0f << 0.0f
<< 2.0f << 0.0f << 0.0f;
QTest::newRow("yonly")
<< 0.0f << 1.0f << 0.0f
<< 0.0f << 2.0f << 0.0f
<< 0.0f << 2.0f << 0.0f;
QTest::newRow("zonly")
<< 0.0f << 0.0f << 1.0f
<< 0.0f << 0.0f << 2.0f
<< 0.0f << 0.0f << 2.0f;
QTest::newRow("all")
<< 1.0f << 2.0f << 3.0f
<< 4.0f << 5.0f << -6.0f
<< 4.0f << 10.0f << -18.0f;
}
void tst_QVectorND::multiply3()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
QVector3D v3(x3, y3, z3);
QVERIFY((v1 * v2) == v3);
QVector3D v4(v1);
v4 *= v2;
QCOMPARE(v4, v3);
QCOMPARE(v4.x(), v1.x() * v2.x());
QCOMPARE(v4.y(), v1.y() * v2.y());
QCOMPARE(v4.z(), v1.z() * v2.z());
}
// Test component-wise vector multiplication for 4D vectors.
void tst_QVectorND::multiply4_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("z1");
QTest::addColumn<float>("w1");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::addColumn<float>("z2");
QTest::addColumn<float>("w2");
QTest::addColumn<float>("x3");
QTest::addColumn<float>("y3");
QTest::addColumn<float>("z3");
QTest::addColumn<float>("w3");
QTest::newRow("null")
<< 0.0f << 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f << 0.0f;
QTest::newRow("xonly")
<< 1.0f << 0.0f << 0.0f << 0.0f
<< 2.0f << 0.0f << 0.0f << 0.0f
<< 2.0f << 0.0f << 0.0f << 0.0f;
QTest::newRow("yonly")
<< 0.0f << 1.0f << 0.0f << 0.0f
<< 0.0f << 2.0f << 0.0f << 0.0f
<< 0.0f << 2.0f << 0.0f << 0.0f;
QTest::newRow("zonly")
<< 0.0f << 0.0f << 1.0f << 0.0f
<< 0.0f << 0.0f << 2.0f << 0.0f
<< 0.0f << 0.0f << 2.0f << 0.0f;
QTest::newRow("wonly")
<< 0.0f << 0.0f << 0.0f << 1.0f
<< 0.0f << 0.0f << 0.0f << 2.0f
<< 0.0f << 0.0f << 0.0f << 2.0f;
QTest::newRow("all")
<< 1.0f << 2.0f << 3.0f << 8.0f
<< 4.0f << 5.0f << -6.0f << 9.0f
<< 4.0f << 10.0f << -18.0f << 72.0f;
}
void tst_QVectorND::multiply4()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, w1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, w2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QFETCH(float, w3);
QVector4D v1(x1, y1, z1, w1);
QVector4D v2(x2, y2, z2, w2);
QVector4D v3(x3, y3, z3, w3);
QVERIFY((v1 * v2) == v3);
QVector4D v4(v1);
v4 *= v2;
QCOMPARE(v4, v3);
QCOMPARE(v4.x(), v1.x() * v2.x());
QCOMPARE(v4.y(), v1.y() * v2.y());
QCOMPARE(v4.z(), v1.z() * v2.z());
QCOMPARE(v4.w(), v1.w() * v2.w());
}
// Test vector multiplication by a factor for 2D vectors.
void tst_QVectorND::multiplyFactor2_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("factor");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::newRow("null")
<< 0.0f << 0.0f
<< 100.0f
<< 0.0f << 0.0f;
QTest::newRow("xonly")
<< 1.0f << 0.0f
<< 2.0f
<< 2.0f << 0.0f;
QTest::newRow("yonly")
<< 0.0f << 1.0f
<< 2.0f
<< 0.0f << 2.0f;
QTest::newRow("all")
<< 1.0f << 2.0f
<< 2.0f
<< 2.0f << 4.0f;
QTest::newRow("allzero")
<< 1.0f << 2.0f
<< 0.0f
<< 0.0f << 0.0f;
}
void tst_QVectorND::multiplyFactor2()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, factor);
QFETCH(float, x2);
QFETCH(float, y2);
QVector2D v1(x1, y1);
QVector2D v2(x2, y2);
QVERIFY((v1 * factor) == v2);
QVERIFY((factor * v1) == v2);
QVector2D v3(v1);
v3 *= factor;
QCOMPARE(v3, v2);
QCOMPARE(v3.x(), v1.x() * factor);
QCOMPARE(v3.y(), v1.y() * factor);
}
// Test vector multiplication by a factor for 3D vectors.
void tst_QVectorND::multiplyFactor3_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("z1");
QTest::addColumn<float>("factor");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::addColumn<float>("z2");
QTest::newRow("null")
<< 0.0f << 0.0f << 0.0f
<< 100.0f
<< 0.0f << 0.0f << 0.0f;
QTest::newRow("xonly")
<< 1.0f << 0.0f << 0.0f
<< 2.0f
<< 2.0f << 0.0f << 0.0f;
QTest::newRow("yonly")
<< 0.0f << 1.0f << 0.0f
<< 2.0f
<< 0.0f << 2.0f << 0.0f;
QTest::newRow("zonly")
<< 0.0f << 0.0f << 1.0f
<< 2.0f
<< 0.0f << 0.0f << 2.0f;
QTest::newRow("all")
<< 1.0f << 2.0f << -3.0f
<< 2.0f
<< 2.0f << 4.0f << -6.0f;
QTest::newRow("allzero")
<< 1.0f << 2.0f << -3.0f
<< 0.0f
<< 0.0f << 0.0f << 0.0f;
}
void tst_QVectorND::multiplyFactor3()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, factor);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
QVERIFY((v1 * factor) == v2);
QVERIFY((factor * v1) == v2);
QVector3D v3(v1);
v3 *= factor;
QCOMPARE(v3, v2);
QCOMPARE(v3.x(), v1.x() * factor);
QCOMPARE(v3.y(), v1.y() * factor);
QCOMPARE(v3.z(), v1.z() * factor);
}
// Test vector multiplication by a factor for 4D vectors.
void tst_QVectorND::multiplyFactor4_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("z1");
QTest::addColumn<float>("w1");
QTest::addColumn<float>("factor");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::addColumn<float>("z2");
QTest::addColumn<float>("w2");
QTest::newRow("null")
<< 0.0f << 0.0f << 0.0f << 0.0f
<< 100.0f
<< 0.0f << 0.0f << 0.0f << 0.0f;
QTest::newRow("xonly")
<< 1.0f << 0.0f << 0.0f << 0.0f
<< 2.0f
<< 2.0f << 0.0f << 0.0f << 0.0f;
QTest::newRow("yonly")
<< 0.0f << 1.0f << 0.0f << 0.0f
<< 2.0f
<< 0.0f << 2.0f << 0.0f << 0.0f;
QTest::newRow("zonly")
<< 0.0f << 0.0f << 1.0f << 0.0f
<< 2.0f
<< 0.0f << 0.0f << 2.0f << 0.0f;
QTest::newRow("wonly")
<< 0.0f << 0.0f << 0.0f << 1.0f
<< 2.0f
<< 0.0f << 0.0f << 0.0f << 2.0f;
QTest::newRow("all")
<< 1.0f << 2.0f << -3.0f << 4.0f
<< 2.0f
<< 2.0f << 4.0f << -6.0f << 8.0f;
QTest::newRow("allzero")
<< 1.0f << 2.0f << -3.0f << 4.0f
<< 0.0f
<< 0.0f << 0.0f << 0.0f << 0.0f;
}
void tst_QVectorND::multiplyFactor4()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, w1);
QFETCH(float, factor);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, w2);
QVector4D v1(x1, y1, z1, w1);
QVector4D v2(x2, y2, z2, w2);
QVERIFY((v1 * factor) == v2);
QVERIFY((factor * v1) == v2);
QVector4D v3(v1);
v3 *= factor;
QCOMPARE(v3, v2);
QCOMPARE(v3.x(), v1.x() * factor);
QCOMPARE(v3.y(), v1.y() * factor);
QCOMPARE(v3.z(), v1.z() * factor);
QCOMPARE(v3.w(), v1.w() * factor);
}
// Test component-wise vector division for 2D vectors.
void tst_QVectorND::divide2_data()
{
// Use the same test data as the multiply test.
multiply2_data();
}
void tst_QVectorND::divide2()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, x3);
QFETCH(float, y3);
QVector2D v1(x1, y1);
QVector2D v2(x2, y2);
QVector2D v3(x3, y3);
if (v2.x() != 0.0f && v2.y() != 0.0f) {
QVERIFY((v3 / v2) == v1);
QVector2D v4(v3);
v4 /= v2;
QCOMPARE(v4, v1);
QCOMPARE(v4.x(), v3.x() / v2.x());
QCOMPARE(v4.y(), v3.y() / v2.y());
}
if (v1.x() != 0.0f && v1.y() != 0.0f) {
QVERIFY((v3 / v1) == v2);
QVector2D v4(v3);
v4 /= v1;
QCOMPARE(v4, v2);
QCOMPARE(v4.x(), v3.x() / v1.x());
QCOMPARE(v4.y(), v3.y() / v1.y());
}
}
// Test component-wise vector division for 3D vectors.
void tst_QVectorND::divide3_data()
{
// Use the same test data as the multiply test.
multiply3_data();
}
void tst_QVectorND::divide3()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
QVector3D v3(x3, y3, z3);
if (v2.x() != 0.0f && v2.y() != 0.0f && v2.z() != 0.0f) {
QVERIFY((v3 / v2) == v1);
QVector3D v4(v3);
v4 /= v2;
QCOMPARE(v4, v1);
QCOMPARE(v4.x(), v3.x() / v2.x());
QCOMPARE(v4.y(), v3.y() / v2.y());
QCOMPARE(v4.z(), v3.z() / v2.z());
}
if (v1.x() != 0.0f && v1.y() != 0.0f && v1.z() != 0.0f) {
QVERIFY((v3 / v1) == v2);
QVector3D v4(v3);
v4 /= v1;
QCOMPARE(v4, v2);
QCOMPARE(v4.x(), v3.x() / v1.x());
QCOMPARE(v4.y(), v3.y() / v1.y());
QCOMPARE(v4.z(), v3.z() / v1.z());
}
}
// Test component-wise vector division for 4D vectors.
void tst_QVectorND::divide4_data()
{
// Use the same test data as the multiply test.
multiply4_data();
}
void tst_QVectorND::divide4()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, w1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, w2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QFETCH(float, w3);
QVector4D v1(x1, y1, z1, w1);
QVector4D v2(x2, y2, z2, w2);
QVector4D v3(x3, y3, z3, w3);
if (v2.x() != 0.0f && v2.y() != 0.0f && v2.z() != 0.0f && v2.w() != 0.0f) {
QVERIFY((v3 / v2) == v1);
QVector4D v4(v3);
v4 /= v2;
QCOMPARE(v4, v1);
QCOMPARE(v4.x(), v3.x() / v2.x());
QCOMPARE(v4.y(), v3.y() / v2.y());
QCOMPARE(v4.z(), v3.z() / v2.z());
QCOMPARE(v4.w(), v3.w() / v2.w());
}
if (v1.x() != 0.0f && v1.y() != 0.0f && v1.z() != 0.0f && v1.w() != 0.0f) {
QVERIFY((v3 / v1) == v2);
QVector4D v4(v3);
v4 /= v1;
QCOMPARE(v4, v2);
QCOMPARE(v4.x(), v3.x() / v1.x());
QCOMPARE(v4.y(), v3.y() / v1.y());
QCOMPARE(v4.z(), v3.z() / v1.z());
QCOMPARE(v4.w(), v3.w() / v1.w());
}
}
// Test vector division by a factor for 2D vectors.
void tst_QVectorND::divideFactor2_data()
{
// Use the same test data as the multiplyFactor test.
multiplyFactor2_data();
}
void tst_QVectorND::divideFactor2()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, factor);
QFETCH(float, x2);
QFETCH(float, y2);
QVector2D v1(x1, y1);
QVector2D v2(x2, y2);
if (factor == 0.0f)
return;
QVERIFY((v2 / factor) == v1);
QVector2D v3(v2);
v3 /= factor;
QCOMPARE(v3, v1);
QCOMPARE(v3.x(), v2.x() / factor);
QCOMPARE(v3.y(), v2.y() / factor);
}
// Test vector division by a factor for 3D vectors.
void tst_QVectorND::divideFactor3_data()
{
// Use the same test data as the multiplyFactor test.
multiplyFactor3_data();
}
void tst_QVectorND::divideFactor3()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, factor);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
if (factor == 0.0f)
return;
QVERIFY((v2 / factor) == v1);
QVector3D v3(v2);
v3 /= factor;
QCOMPARE(v3, v1);
QCOMPARE(v3.x(), v2.x() / factor);
QCOMPARE(v3.y(), v2.y() / factor);
QCOMPARE(v3.z(), v2.z() / factor);
}
// Test vector division by a factor for 4D vectors.
void tst_QVectorND::divideFactor4_data()
{
// Use the same test data as the multiplyFactor test.
multiplyFactor4_data();
}
void tst_QVectorND::divideFactor4()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, w1);
QFETCH(float, factor);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, w2);
QVector4D v1(x1, y1, z1, w1);
QVector4D v2(x2, y2, z2, w2);
if (factor == 0.0f)
return;
QVERIFY((v2 / factor) == v1);
QVector4D v3(v2);
v3 /= factor;
QCOMPARE(v3, v1);
QCOMPARE(v3.x(), v2.x() / factor);
QCOMPARE(v3.y(), v2.y() / factor);
QCOMPARE(v3.z(), v2.z() / factor);
QCOMPARE(v3.w(), v2.w() / factor);
}
// Test vector negation for 2D vectors.
void tst_QVectorND::negate2_data()
{
// Use the same test data as the add test.
add2_data();
}
void tst_QVectorND::negate2()
{
QFETCH(float, x1);
QFETCH(float, y1);
QVector2D v1(x1, y1);
QVector2D v2(-x1, -y1);
QCOMPARE(-v1, v2);
}
// Test vector negation for 3D vectors.
void tst_QVectorND::negate3_data()
{
// Use the same test data as the add test.
add3_data();
}
void tst_QVectorND::negate3()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QVector3D v1(x1, y1, z1);
QVector3D v2(-x1, -y1, -z1);
QCOMPARE(-v1, v2);
}
// Test vector negation for 4D vectors.
void tst_QVectorND::negate4_data()
{
// Use the same test data as the add test.
add4_data();
}
void tst_QVectorND::negate4()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, w1);
QVector4D v1(x1, y1, z1, w1);
QVector4D v2(-x1, -y1, -z1, -w1);
QCOMPARE(-v1, v2);
}
// Test the computation of vector cross-products.
void tst_QVectorND::crossProduct_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("z1");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::addColumn<float>("z2");
QTest::addColumn<float>("x3");
QTest::addColumn<float>("y3");
QTest::addColumn<float>("z3");
QTest::addColumn<float>("dot");
QTest::newRow("null")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f
<< 0.0f;
QTest::newRow("unitvec")
<< 1.0f << 0.0f << 0.0f
<< 0.0f << 1.0f << 0.0f
<< 0.0f << 0.0f << 1.0f
<< 0.0f;
QTest::newRow("complex")
<< 1.0f << 2.0f << 3.0f
<< 4.0f << 5.0f << 6.0f
<< -3.0f << 6.0f << -3.0f
<< 32.0f;
}
void tst_QVectorND::crossProduct()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
QVector3D v3(x3, y3, z3);
QVector3D v4 = QVector3D::crossProduct(v1, v2);
QCOMPARE(v4, v3);
// Compute the cross-product long-hand and check again.
float xres = y1 * z2 - z1 * y2;
float yres = z1 * x2 - x1 * z2;
float zres = x1 * y2 - y1 * x2;
QCOMPARE(v4.x(), xres);
QCOMPARE(v4.y(), yres);
QCOMPARE(v4.z(), zres);
}
// Test the computation of normals.
void tst_QVectorND::normal_data()
{
// Use the same test data as the crossProduct test.
crossProduct_data();
}
void tst_QVectorND::normal()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
QVector3D v3(x3, y3, z3);
QVERIFY(QVector3D::normal(v1, v2) == v3.normalized());
QVERIFY(QVector3D::normal(QVector3D(), v1, v2) == v3.normalized());
QVector3D point(1.0f, 2.0f, 3.0f);
QVERIFY(QVector3D::normal(point, v1 + point, v2 + point) == v3.normalized());
}
// Test distance to point calculations.
void tst_QVectorND::distanceToPoint2_data()
{
QTest::addColumn<float>("x1"); // Point to test for distance
QTest::addColumn<float>("y1");
QTest::addColumn<float>("x2"); // Point to test against
QTest::addColumn<float>("y2");
QTest::addColumn<float>("distance");
QTest::newRow("null")
<< 0.0f << 0.0f
<< 0.0f << 1.0f
<< 1.0f;
QTest::newRow("on point")
<< 1.0f << 1.0f
<< 1.0f << 1.0f
<< 0.0f;
QTest::newRow("off point")
<< 0.0f << 1.0f
<< 0.0f << 2.0f
<< 1.0f;
QTest::newRow("off point 2")
<< 0.0f << 0.0f
<< 0.0f << 2.0f
<< 2.0f;
QTest::newRow("minus point")
<< 0.0f << 0.0f
<< 0.0f << -2.0f
<< 2.0f;
}
void tst_QVectorND::distanceToPoint2()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, distance);
QVector2D v1(x1, y1);
QVector2D v2(x2, y2);
QCOMPARE(v1.distanceToPoint(v2), distance);
}
// Test distance to point calculations.
void tst_QVectorND::distanceToPoint3_data()
{
QTest::addColumn<float>("x1"); // Point to test for distance
QTest::addColumn<float>("y1");
QTest::addColumn<float>("z1");
QTest::addColumn<float>("x2"); // Point to test against
QTest::addColumn<float>("y2");
QTest::addColumn<float>("z2");
QTest::addColumn<float>("distance");
QTest::newRow("null")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 1.0f
<< 1.0f;
QTest::newRow("on point")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f
<< 0.0f;
QTest::newRow("off point")
<< 0.0f << 0.0f << 1.0f
<< 0.0f << 0.0f << 2.0f
<< 1.0f;
QTest::newRow("off point 2")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 2.0f << 0.0f
<< 2.0f;
QTest::newRow("minus point")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << -2.0f << 0.0f
<< 2.0f;
}
void tst_QVectorND::distanceToPoint3()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, distance);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
QCOMPARE(v1.distanceToPoint(v2), distance);
}
// Test distance to plane calculations.
void tst_QVectorND::distanceToPlane_data()
{
QTest::addColumn<float>("x1"); // Point on plane
QTest::addColumn<float>("y1");
QTest::addColumn<float>("z1");
QTest::addColumn<float>("x2"); // Normal to plane
QTest::addColumn<float>("y2");
QTest::addColumn<float>("z2");
QTest::addColumn<float>("x3"); // Point to test for distance
QTest::addColumn<float>("y3");
QTest::addColumn<float>("z3");
QTest::addColumn<float>("x4"); // Second point on plane
QTest::addColumn<float>("y4");
QTest::addColumn<float>("z4");
QTest::addColumn<float>("x5"); // Third point on plane
QTest::addColumn<float>("y5");
QTest::addColumn<float>("z5");
QTest::addColumn<float>("distance");
QTest::newRow("null")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 1.0f
<< 0.0f << 0.0f << 0.0f
<< 1.0f << 0.0f << 0.0f
<< 0.0f << 2.0f << 0.0f
<< 0.0f;
QTest::newRow("above")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 1.0f
<< 0.0f << 0.0f << 2.0f
<< 1.0f << 0.0f << 0.0f
<< 0.0f << 2.0f << 0.0f
<< 2.0f;
QTest::newRow("below")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 1.0f
<< -1.0f << 1.0f << -2.0f
<< 1.0f << 0.0f << 0.0f
<< 0.0f << 2.0f << 0.0f
<< -2.0f;
}
void tst_QVectorND::distanceToPlane()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QFETCH(float, x4);
QFETCH(float, y4);
QFETCH(float, z4);
QFETCH(float, x5);
QFETCH(float, y5);
QFETCH(float, z5);
QFETCH(float, distance);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
QVector3D v3(x3, y3, z3);
QVector3D v4(x4, y4, z4);
QVector3D v5(x5, y5, z5);
QCOMPARE(v3.distanceToPlane(v1, v2), distance);
QCOMPARE(v3.distanceToPlane(v1, v4, v5), distance);
}
// Test distance to line calculations.
void tst_QVectorND::distanceToLine2_data()
{
QTest::addColumn<float>("x1"); // Point on line
QTest::addColumn<float>("y1");
QTest::addColumn<float>("x2"); // Direction of the line
QTest::addColumn<float>("y2");
QTest::addColumn<float>("x3"); // Point to test for distance
QTest::addColumn<float>("y3");
QTest::addColumn<float>("distance");
QTest::newRow("null")
<< 0.0f << 0.0f
<< 0.0f << 0.1f
<< 0.0f << 0.0f
<< 0.0f;
QTest::newRow("on line")
<< 0.0f << 0.0f
<< 0.0f << 1.0f
<< 0.0f << 5.0f
<< 0.0f;
QTest::newRow("off line")
<< 0.0f << 0.0f
<< 0.0f << 1.0f
<< 1.0f << 0.0f
<< 1.0f;
QTest::newRow("off line 2")
<< 0.0f << 0.0f
<< 0.0f << 1.0f
<< -2.0f << 0.0f
<< 2.0f;
QTest::newRow("points")
<< 0.0f << 0.0f
<< 0.0f << 0.0f
<< 0.0f << 5.0f
<< 5.0f;
}
void tst_QVectorND::distanceToLine2()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, distance);
QVector2D v1(x1, y1);
QVector2D v2(x2, y2);
QVector2D v3(x3, y3);
QCOMPARE(v3.distanceToLine(v1, v2), distance);
}
// Test distance to line calculations.
void tst_QVectorND::distanceToLine3_data()
{
QTest::addColumn<float>("x1"); // Point on line
QTest::addColumn<float>("y1");
QTest::addColumn<float>("z1");
QTest::addColumn<float>("x2"); // Direction of the line
QTest::addColumn<float>("y2");
QTest::addColumn<float>("z2");
QTest::addColumn<float>("x3"); // Point to test for distance
QTest::addColumn<float>("y3");
QTest::addColumn<float>("z3");
QTest::addColumn<float>("distance");
QTest::newRow("null")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 1.0f
<< 0.0f << 0.0f << 0.0f
<< 0.0f;
QTest::newRow("on line")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 1.0f
<< 0.0f << 0.0f << 5.0f
<< 0.0f;
QTest::newRow("off line")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 1.0f
<< 1.0f << 0.0f << 0.0f
<< 1.0f;
QTest::newRow("off line 2")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 1.0f
<< 0.0f << -2.0f << 0.0f
<< 2.0f;
QTest::newRow("points")
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f
<< 0.0f << 5.0f << 0.0f
<< 5.0f;
}
void tst_QVectorND::distanceToLine3()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QFETCH(float, distance);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
QVector3D v3(x3, y3, z3);
QCOMPARE(v3.distanceToLine(v1, v2), distance);
}
// Test the computation of dot products for 2D vectors.
void tst_QVectorND::dotProduct2_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::addColumn<float>("dot");
QTest::newRow("null")
<< 0.0f << 0.0f
<< 0.0f << 0.0f
<< 0.0f;
QTest::newRow("unitvec")
<< 1.0f << 0.0f
<< 0.0f << 1.0f
<< 0.0f;
QTest::newRow("complex")
<< 1.0f << 2.0f
<< 4.0f << 5.0f
<< 14.0f;
}
void tst_QVectorND::dotProduct2()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, dot);
QVector2D v1(x1, y1);
QVector2D v2(x2, y2);
QVERIFY(QVector2D::dotProduct(v1, v2) == dot);
// Compute the dot-product long-hand and check again.
float d = x1 * x2 + y1 * y2;
QCOMPARE(QVector2D::dotProduct(v1, v2), d);
}
// Test the computation of dot products for 3D vectors.
void tst_QVectorND::dotProduct3_data()
{
// Use the same test data as the crossProduct test.
crossProduct_data();
}
void tst_QVectorND::dotProduct3()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, x3);
QFETCH(float, y3);
QFETCH(float, z3);
QFETCH(float, dot);
Q_UNUSED(x3);
Q_UNUSED(y3);
Q_UNUSED(z3);
QVector3D v1(x1, y1, z1);
QVector3D v2(x2, y2, z2);
QVERIFY(QVector3D::dotProduct(v1, v2) == dot);
// Compute the dot-product long-hand and check again.
float d = x1 * x2 + y1 * y2 + z1 * z2;
QCOMPARE(QVector3D::dotProduct(v1, v2), d);
}
// Test the computation of dot products for 4D vectors.
void tst_QVectorND::dotProduct4_data()
{
QTest::addColumn<float>("x1");
QTest::addColumn<float>("y1");
QTest::addColumn<float>("z1");
QTest::addColumn<float>("w1");
QTest::addColumn<float>("x2");
QTest::addColumn<float>("y2");
QTest::addColumn<float>("z2");
QTest::addColumn<float>("w2");
QTest::addColumn<float>("dot");
QTest::newRow("null")
<< 0.0f << 0.0f << 0.0f << 0.0f
<< 0.0f << 0.0f << 0.0f << 0.0f
<< 0.0f;
QTest::newRow("unitvec")
<< 1.0f << 0.0f << 0.0f << 0.0f
<< 0.0f << 1.0f << 0.0f << 0.0f
<< 0.0f;
QTest::newRow("complex")
<< 1.0f << 2.0f << 3.0f << 4.0f
<< 4.0f << 5.0f << 6.0f << 7.0f
<< 60.0f;
}
void tst_QVectorND::dotProduct4()
{
QFETCH(float, x1);
QFETCH(float, y1);
QFETCH(float, z1);
QFETCH(float, w1);
QFETCH(float, x2);
QFETCH(float, y2);
QFETCH(float, z2);
QFETCH(float, w2);
QFETCH(float, dot);
QVector4D v1(x1, y1, z1, w1);
QVector4D v2(x2, y2, z2, w2);
QVERIFY(QVector4D::dotProduct(v1, v2) == dot);
// Compute the dot-product long-hand and check again.
float d = x1 * x2 + y1 * y2 + z1 * z2 + w1 * w2;
QCOMPARE(QVector4D::dotProduct(v1, v2), d);
}
void tst_QVectorND::project_data()
{
QTest::addColumn<QVector3D>("point");
QTest::addColumn<QRect>("viewport");
QTest::addColumn<QMatrix4x4>("projection");
QTest::addColumn<QMatrix4x4>("view");
QTest::addColumn<QVector2D>("result");
QMatrix4x4 projection;
projection.ortho(-1.0f, 1.0f, -1.0f, 1.0f, 0.1f, 1000.0f);
QMatrix4x4 view;
// Located at (0, 0, 10), looking at origin, y is up
view.lookAt(QVector3D(0.0f, 0.0f, 10.0f), QVector3D(0.0f, 0.0f, 0.0f), QVector3D(0.0f, 1.0f, 0.0f));
QMatrix4x4 nullMatrix(0.0f, 0.0f, 0.0f, 0.0f,
0.0f, 0.0f, 0.0f, 0.0f,
0.0f, 0.0f, 0.0f, 0.0f,
0.0f, 0.0f, 0.0f, 0.0f);
QTest::newRow("center")
<< QVector3D(0.0f, 0.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< projection
<< view
<< QVector2D(400.0f, 300.0f);
QTest::newRow("topLeft")
<< QVector3D(-1.0f, 1.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< projection
<< view
<< QVector2D(0.0f, 600.0f);
QTest::newRow("topRight")
<< QVector3D(1.0f, 1.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< projection
<< view
<< QVector2D(800.0f, 600.0f);
QTest::newRow("bottomLeft")
<< QVector3D(-1.0f, -1.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< projection
<< view
<< QVector2D(0.0f, 0.0f);
QTest::newRow("bottomRight")
<< QVector3D(1.0f, -1.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< projection
<< view
<< QVector2D(800.0f, 0.0f);
QTest::newRow("nullMatrix")
<< QVector3D(0.0f, 0.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< nullMatrix
<< nullMatrix
<< QVector2D(400.0f, 300.0f);
}
void tst_QVectorND::project()
{
QFETCH(QVector3D, point);
QFETCH(QRect, viewport);
QFETCH(QMatrix4x4, projection);
QFETCH(QMatrix4x4, view);
QFETCH(QVector2D, result);
QVector3D project = point.project(view, projection, viewport);
QCOMPARE(project.toVector2D(), result);
}
void tst_QVectorND::unproject_data()
{
QTest::addColumn<QVector3D>("point");
QTest::addColumn<QRect>("viewport");
QTest::addColumn<QMatrix4x4>("projection");
QTest::addColumn<QMatrix4x4>("view");
QTest::addColumn<QVector3D>("result");
QMatrix4x4 projection;
projection.ortho(-1.0f, 1.0f, -1.0f, 1.0f, 0.1f, 1000.0f);
QMatrix4x4 view;
// Located at (0, 0, 10), looking at origin, y is up
view.lookAt(QVector3D(0.0f, 0.0f, 10.0f), QVector3D(0.0f, 0.0f, 0.0f), QVector3D(0.0f, 1.0f, 0.0f));
QMatrix4x4 nullMatrix(0.0f, 0.0f, 0.0f, 0.0f,
0.0f, 0.0f, 0.0f, 0.0f,
0.0f, 0.0f, 0.0f, 0.0f,
0.0f, 0.0f, 0.0f, 0.0f);
QTest::newRow("center")
<< QVector3D(400.0f, 300.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< projection
<< view
<< QVector3D(0.0f, 0.0f, 9.9f);
QTest::newRow("topLeft")
<< QVector3D(0.0f, 600.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< projection
<< view
<< QVector3D(-1.0f, 1.0f, 9.9f);
QTest::newRow("topRight")
<< QVector3D(800.0f, 600.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< projection
<< view
<< QVector3D(1.0f, 1.0f, 9.9f);
QTest::newRow("bottomLeft")
<< QVector3D(0.0f, 0.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< projection
<< view
<< QVector3D(-1.0, -1.0f, 9.9f);
QTest::newRow("bottomRight")
<< QVector3D(800.0f, 0.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< projection
<< view
<< QVector3D(1.0f, -1.0f, 9.9f);
QTest::newRow("nullMatrix")
<< QVector3D(400.0f, 300.0f, 0.0f)
<< QRect(0.0f, 0.0f, 800.0f, 600.0f)
<< nullMatrix
<< nullMatrix
<< QVector3D(0.0f, 0.0f, -1.0f);
}
void tst_QVectorND::unproject()
{
QFETCH(QVector3D, point);
QFETCH(QRect, viewport);
QFETCH(QMatrix4x4, projection);
QFETCH(QMatrix4x4, view);
QFETCH(QVector3D, result);
QVector3D unproject = point.unproject(view, projection, viewport);
QVERIFY(qFuzzyCompare(unproject, result));
}
class tst_QVectorNDProperties : public QObject
{
Q_OBJECT
Q_PROPERTY(QVector2D vector2D READ vector2D WRITE setVector2D)
Q_PROPERTY(QVector3D vector3D READ vector3D WRITE setVector3D)
Q_PROPERTY(QVector4D vector4D READ vector4D WRITE setVector4D)
public:
tst_QVectorNDProperties(QObject *parent = nullptr) : QObject(parent) {}
QVector2D vector2D() const { return v2; }
void setVector2D(const QVector2D& value) { v2 = value; }
QVector3D vector3D() const { return v3; }
void setVector3D(const QVector3D& value) { v3 = value; }
QVector4D vector4D() const { return v4; }
void setVector4D(const QVector4D& value) { v4 = value; }
private:
QVector2D v2;
QVector3D v3;
QVector4D v4;
};
// Test getting and setting vector properties via the metaobject system.
void tst_QVectorND::properties()
{
tst_QVectorNDProperties obj;
obj.setVector2D(QVector2D(1.0f, 2.0f));
obj.setVector3D(QVector3D(3.0f, 4.0f, 5.0f));
obj.setVector4D(QVector4D(6.0f, 7.0f, 8.0f, 9.0f));
QVector2D v2 = qvariant_cast<QVector2D>(obj.property("vector2D"));
QCOMPARE(v2.x(), 1.0f);
QCOMPARE(v2.y(), 2.0f);
QVector3D v3 = qvariant_cast<QVector3D>(obj.property("vector3D"));
QCOMPARE(v3.x(), 3.0f);
QCOMPARE(v3.y(), 4.0f);
QCOMPARE(v3.z(), 5.0f);
QVector4D v4 = qvariant_cast<QVector4D>(obj.property("vector4D"));
QCOMPARE(v4.x(), 6.0f);
QCOMPARE(v4.y(), 7.0f);
QCOMPARE(v4.z(), 8.0f);
QCOMPARE(v4.w(), 9.0f);
obj.setProperty("vector2D",
QVariant::fromValue(QVector2D(-1.0f, -2.0f)));
obj.setProperty("vector3D",
QVariant::fromValue(QVector3D(-3.0f, -4.0f, -5.0f)));
obj.setProperty("vector4D",
QVariant::fromValue(QVector4D(-6.0f, -7.0f, -8.0f, -9.0f)));
v2 = qvariant_cast<QVector2D>(obj.property("vector2D"));
QCOMPARE(v2.x(), -1.0f);
QCOMPARE(v2.y(), -2.0f);
v3 = qvariant_cast<QVector3D>(obj.property("vector3D"));
QCOMPARE(v3.x(), -3.0f);
QCOMPARE(v3.y(), -4.0f);
QCOMPARE(v3.z(), -5.0f);
v4 = qvariant_cast<QVector4D>(obj.property("vector4D"));
QCOMPARE(v4.x(), -6.0f);
QCOMPARE(v4.y(), -7.0f);
QCOMPARE(v4.z(), -8.0f);
QCOMPARE(v4.w(), -9.0f);
}
void tst_QVectorND::metaTypes()
{
QCOMPARE(QMetaType::fromName("QVector2D").id(), int(QMetaType::QVector2D));
QCOMPARE(QMetaType::fromName("QVector3D").id(), int(QMetaType::QVector3D));
QCOMPARE(QMetaType::fromName("QVector4D").id(), int(QMetaType::QVector4D));
QCOMPARE(QByteArray(QMetaType(QMetaType::QVector2D).name()),
QByteArray("QVector2D"));
QCOMPARE(QByteArray(QMetaType(QMetaType::QVector3D).name()),
QByteArray("QVector3D"));
QCOMPARE(QByteArray(QMetaType(QMetaType::QVector4D).name()),
QByteArray("QVector4D"));
QVERIFY(QMetaType::isRegistered(QMetaType::QVector2D));
QVERIFY(QMetaType::isRegistered(QMetaType::QVector3D));
QVERIFY(QMetaType::isRegistered(QMetaType::QVector4D));
QCOMPARE(qMetaTypeId<QVector2D>(), int(QMetaType::QVector2D));
QCOMPARE(qMetaTypeId<QVector3D>(), int(QMetaType::QVector3D));
QCOMPARE(qMetaTypeId<QVector4D>(), int(QMetaType::QVector4D));
}
void tst_QVectorND::structuredBinding()
{
{
QVector2D v(1.0f, 2.0f);
auto [x, y] = v;
QCOMPARE(x, 1.0f);
QCOMPARE(y, 2.0f);
}
{
QVector2D v(1.0f, 2.0f);
auto &[x, y] = v;
QCOMPARE(x, 1.0f);
QCOMPARE(y, 2.0f);
x = 10.0f;
y = 20.0f;
QCOMPARE(v.x(), 10.0f);
QCOMPARE(v.y(), 20.0f);
}
{
QVector3D v(1.0f, 2.0f, 3.0);
auto [x, y, z] = v;
QCOMPARE(x, 1.0f);
QCOMPARE(y, 2.0f);
QCOMPARE(z, 3.0f);
}
{
QVector3D v(1.0f, 2.0f, 3.0);
auto &[x, y, z] = v;
QCOMPARE(x, 1.0f);
QCOMPARE(y, 2.0f);
QCOMPARE(z, 3.0f);
x = 10.0f;
y = 20.0f;
z = 30.0f;
QCOMPARE(v.x(), 10.0f);
QCOMPARE(v.y(), 20.0f);
QCOMPARE(v.z(), 30.0f);
}
{
QVector4D v(1.0f, 2.0f, 3.0, 4.0);
auto [x, y, z, w] = v;
QCOMPARE(x, 1.0f);
QCOMPARE(y, 2.0f);
QCOMPARE(z, 3.0f);
QCOMPARE(w, 4.0f);
}
{
QVector4D v(1.0f, 2.0f, 3.0, 4.0);
auto &[x, y, z, w] = v;
QCOMPARE(x, 1.0f);
QCOMPARE(y, 2.0f);
QCOMPARE(z, 3.0f);
QCOMPARE(w, 4.0f);
x = 10.0f;
y = 20.0f;
z = 30.0f;
w = 40.0f;
QCOMPARE(v.x(), 10.0f);
QCOMPARE(v.y(), 20.0f);
QCOMPARE(v.z(), 30.0f);
QCOMPARE(v.w(), 40.0f);
}
}
QTEST_APPLESS_MAIN(tst_QVectorND)
#include "tst_qvectornd.moc"
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