diff options
Diffstat (limited to 'tests/auto/math3d/qvectornd')
| -rw-r--r-- | tests/auto/math3d/qvectornd/qvectornd.pro | 5 | ||||
| -rw-r--r-- | tests/auto/math3d/qvectornd/tst_qvectornd.cpp | 2045 |
2 files changed, 2050 insertions, 0 deletions
diff --git a/tests/auto/math3d/qvectornd/qvectornd.pro b/tests/auto/math3d/qvectornd/qvectornd.pro new file mode 100644 index 0000000..0981637 --- /dev/null +++ b/tests/auto/math3d/qvectornd/qvectornd.pro @@ -0,0 +1,5 @@ +load(qttest_p4) +VPATH += ../shared +INCLUDEPATH += ../shared +HEADERS += math3dincludes.h +SOURCES += tst_qvectornd.cpp diff --git a/tests/auto/math3d/qvectornd/tst_qvectornd.cpp b/tests/auto/math3d/qvectornd/tst_qvectornd.cpp new file mode 100644 index 0000000..f7d2411 --- /dev/null +++ b/tests/auto/math3d/qvectornd/tst_qvectornd.cpp @@ -0,0 +1,2045 @@ +/**************************************************************************** +** +** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies). +** Contact: Qt Software Information (qt-info@nokia.com) +** +** This file is part of the test suite of the Qt Toolkit. +** +** $QT_BEGIN_LICENSE:LGPL$ +** No Commercial Usage +** This file contains pre-release code and may not be distributed. +** You may use this file in accordance with the terms and conditions +** contained in the either Technology Preview License Agreement or the +** Beta Release License Agreement. +** +** GNU Lesser General Public License Usage +** Alternatively, this file may be used under the terms of the GNU Lesser +** General Public License version 2.1 as published by the Free Software +** Foundation and appearing in the file LICENSE.LGPL included in the +** packaging of this file. Please review the following information to +** ensure the GNU Lesser General Public License version 2.1 requirements +** will be met: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html. +** +** In addition, as a special exception, Nokia gives you certain +** additional rights. These rights are described in the Nokia Qt LGPL +** Exception version 1.0, included in the file LGPL_EXCEPTION.txt in this +** package. +** +** GNU General Public License Usage +** Alternatively, this file may be used under the terms of the GNU +** General Public License version 3.0 as published by the Free Software +** Foundation and appearing in the file LICENSE.GPL included in the +** packaging of this file. Please review the following information to +** ensure the GNU General Public License version 3.0 requirements will be +** met: http://www.gnu.org/copyleft/gpl.html. +** +** If you are unsure which license is appropriate for your use, please +** contact the sales department at qt-sales@nokia.com. +** $QT_END_LICENSE$ +** +****************************************************************************/ + +#include <QtTest/QtTest> +#include <QtCore/qmath.h> +#include "math3dincludes.h" + +class tst_QVector : public QObject +{ + Q_OBJECT +public: + tst_QVector() {} + ~tst_QVector() {} + +private slots: + void create2(); + void create3(); + void create4(); + + 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 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 distanceToPlane_data(); + void distanceToPlane(); + void distanceToLine_data(); + void distanceToLine(); + + void dotProduct2_data(); + void dotProduct2(); + void dotProduct3_data(); + void dotProduct3(); + void dotProduct4_data(); + void dotProduct4(); +}; + +// qFuzzyCompare isn't quite "fuzzy" enough to handle conversion +// to fixed-point and back again. So create "fuzzier" compares. +static bool fuzzyCompare(float x, float y) +{ + float diff = x - y; + if (diff < 0.0f) + diff = -diff; + return (diff < 0.001); +} + +// Test the creation of QVector2D objects in various ways: +// construct, copy, and modify. +void tst_QVector::create2() +{ + QVector2D null; + QCOMPARE(null.x(), (qreal)0.0f); + QCOMPARE(null.y(), (qreal)0.0f); + QVERIFY(null.isNull()); + + QVector2D v1(1.0f, 2.5f); + QCOMPARE(v1.x(), (qreal)1.0f); + QCOMPARE(v1.y(), (qreal)2.5f); + QVERIFY(!v1.isNull()); + + QVector2D v1i(1, 2); + QCOMPARE(v1i.x(), (qreal)1.0f); + QCOMPARE(v1i.y(), (qreal)2.0f); + QVERIFY(!v1i.isNull()); + + QVector2D v2(v1); + QCOMPARE(v2.x(), (qreal)1.0f); + QCOMPARE(v2.y(), (qreal)2.5f); + QVERIFY(!v2.isNull()); + + QVector2D v4; + QCOMPARE(v4.x(), (qreal)0.0f); + QCOMPARE(v4.y(), (qreal)0.0f); + QVERIFY(v4.isNull()); + v4 = v1; + QCOMPARE(v4.x(), (qreal)1.0f); + QCOMPARE(v4.y(), (qreal)2.5f); + QVERIFY(!v4.isNull()); + + QVector2D v5(QPoint(1, 2)); + QCOMPARE(v5.x(), (qreal)1.0f); + QCOMPARE(v5.y(), (qreal)2.0f); + QVERIFY(!v5.isNull()); + + QVector2D v6(QPointF(1, 2.5)); + QCOMPARE(v6.x(), (qreal)1.0f); + QCOMPARE(v6.y(), (qreal)2.5f); + QVERIFY(!v6.isNull()); + + QVector2D v7(QVector3D(1.0f, 2.5f, 54.25f)); + QCOMPARE(v7.x(), (qreal)1.0f); + QCOMPARE(v7.y(), (qreal)2.5f); + QVERIFY(!v6.isNull()); + + QVector2D v8(QVector4D(1.0f, 2.5f, 54.25f, 34.0f)); + QCOMPARE(v8.x(), (qreal)1.0f); + QCOMPARE(v8.y(), (qreal)2.5f); + QVERIFY(!v6.isNull()); + + v1.setX(3.0f); + QCOMPARE(v1.x(), (qreal)3.0f); + QCOMPARE(v1.y(), (qreal)2.5f); + QVERIFY(!v1.isNull()); + + v1.setY(10.5f); + QCOMPARE(v1.x(), (qreal)3.0f); + QCOMPARE(v1.y(), (qreal)10.5f); + QVERIFY(!v1.isNull()); + + v1.setX(0.0f); + v1.setY(0.0f); + QCOMPARE(v1.x(), (qreal)0.0f); + QCOMPARE(v1.y(), (qreal)0.0f); + QVERIFY(v1.isNull()); + + QPoint p1 = v8.toPoint(); + QCOMPARE(p1.x(), 1); + QCOMPARE(p1.y(), 3); + + QPointF p2 = v8.toPointF(); + QCOMPARE((qreal)p2.x(), (qreal)1.0f); + QCOMPARE((qreal)p2.y(), (qreal)2.5f); + + QVector3D v9 = v8.toVector3D(); + QCOMPARE(v9.x(), (qreal)1.0f); + QCOMPARE(v9.y(), (qreal)2.5f); + QCOMPARE(v9.z(), (qreal)0.0f); + + QVector4D v10 = v8.toVector4D(); + QCOMPARE(v10.x(), (qreal)1.0f); + QCOMPARE(v10.y(), (qreal)2.5f); + QCOMPARE(v10.z(), (qreal)0.0f); + QCOMPARE(v10.w(), (qreal)0.0f); +} + +// Test the creation of QVector3D objects in various ways: +// construct, copy, and modify. +void tst_QVector::create3() +{ + QVector3D null; + QCOMPARE(null.x(), (qreal)0.0f); + QCOMPARE(null.y(), (qreal)0.0f); + QCOMPARE(null.z(), (qreal)0.0f); + QVERIFY(null.isNull()); + + QVector3D v1(1.0f, 2.5f, -89.25f); + QCOMPARE(v1.x(), (qreal)1.0f); + QCOMPARE(v1.y(), (qreal)2.5f); + QCOMPARE(v1.z(), (qreal)-89.25f); + QVERIFY(!v1.isNull()); + + QVector3D v1i(1, 2, -89); + QCOMPARE(v1i.x(), (qreal)1.0f); + QCOMPARE(v1i.y(), (qreal)2.0f); + QCOMPARE(v1i.z(), (qreal)-89.0f); + QVERIFY(!v1i.isNull()); + + QVector3D v2(v1); + QCOMPARE(v2.x(), (qreal)1.0f); + QCOMPARE(v2.y(), (qreal)2.5f); + QCOMPARE(v2.z(), (qreal)-89.25f); + QVERIFY(!v2.isNull()); + + QVector3D v3(1.0f, 2.5f, 0.0f); + QCOMPARE(v3.x(), (qreal)1.0f); + QCOMPARE(v3.y(), (qreal)2.5f); + QCOMPARE(v3.z(), (qreal)0.0f); + QVERIFY(!v3.isNull()); + + QVector3D v3i(1, 2, 0); + QCOMPARE(v3i.x(), (qreal)1.0f); + QCOMPARE(v3i.y(), (qreal)2.0f); + QCOMPARE(v3i.z(), (qreal)0.0f); + QVERIFY(!v3i.isNull()); + + QVector3D v4; + QCOMPARE(v4.x(), (qreal)0.0f); + QCOMPARE(v4.y(), (qreal)0.0f); + QCOMPARE(v4.z(), (qreal)0.0f); + QVERIFY(v4.isNull()); + v4 = v1; + QCOMPARE(v4.x(), (qreal)1.0f); + QCOMPARE(v4.y(), (qreal)2.5f); + QCOMPARE(v4.z(), (qreal)-89.25f); + QVERIFY(!v4.isNull()); + + QVector3D v5(QPoint(1, 2)); + QCOMPARE(v5.x(), (qreal)1.0f); + QCOMPARE(v5.y(), (qreal)2.0f); + QCOMPARE(v5.z(), (qreal)0.0f); + QVERIFY(!v5.isNull()); + + QVector3D v6(QPointF(1, 2.5)); + QCOMPARE(v6.x(), (qreal)1.0f); + QCOMPARE(v6.y(), (qreal)2.5f); + QCOMPARE(v6.z(), (qreal)0.0f); + QVERIFY(!v6.isNull()); + + QVector3D v7(QVector2D(1.0f, 2.5f)); + QCOMPARE(v7.x(), (qreal)1.0f); + QCOMPARE(v7.y(), (qreal)2.5f); + QCOMPARE(v7.z(), (qreal)0.0f); + QVERIFY(!v7.isNull()); + + QVector3D v8(QVector2D(1.0f, 2.5f), 54.25f); + QCOMPARE(v8.x(), (qreal)1.0f); + QCOMPARE(v8.y(), (qreal)2.5f); + QCOMPARE(v8.z(), (qreal)54.25f); + QVERIFY(!v8.isNull()); + + QVector3D v9(QVector4D(1.0f, 2.5f, 54.25f, 34.0f)); + QCOMPARE(v9.x(), (qreal)1.0f); + QCOMPARE(v9.y(), (qreal)2.5f); + QCOMPARE(v9.z(), (qreal)54.25f); + QVERIFY(!v9.isNull()); + + v1.setX(3.0f); + QCOMPARE(v1.x(), (qreal)3.0f); + QCOMPARE(v1.y(), (qreal)2.5f); + QCOMPARE(v1.z(), (qreal)-89.25f); + QVERIFY(!v1.isNull()); + + v1.setY(10.5f); + QCOMPARE(v1.x(), (qreal)3.0f); + QCOMPARE(v1.y(), (qreal)10.5f); + QCOMPARE(v1.z(), (qreal)-89.25f); + QVERIFY(!v1.isNull()); + + v1.setZ(15.5f); + QCOMPARE(v1.x(), (qreal)3.0f); + QCOMPARE(v1.y(), (qreal)10.5f); + QCOMPARE(v1.z(), (qreal)15.5f); + QVERIFY(!v1.isNull()); + + v1.setX(0.0f); + v1.setY(0.0f); + v1.setZ(0.0f); + QCOMPARE(v1.x(), (qreal)0.0f); + QCOMPARE(v1.y(), (qreal)0.0f); + QCOMPARE(v1.z(), (qreal)0.0f); + QVERIFY(v1.isNull()); + + QPoint p1 = v8.toPoint(); + QCOMPARE(p1.x(), 1); + QCOMPARE(p1.y(), 3); + + QPointF p2 = v8.toPointF(); + QCOMPARE((qreal)p2.x(), (qreal)1.0f); + QCOMPARE((qreal)p2.y(), (qreal)2.5f); + + QVector2D v10 = v8.toVector2D(); + QCOMPARE(v10.x(), (qreal)1.0f); + QCOMPARE(v10.y(), (qreal)2.5f); + + QVector4D v11 = v8.toVector4D(); + QCOMPARE(v11.x(), (qreal)1.0f); + QCOMPARE(v11.y(), (qreal)2.5f); + QCOMPARE(v11.z(), (qreal)54.25f); + QCOMPARE(v11.w(), (qreal)0.0f); +} + +// Test the creation of QVector4D objects in various ways: +// construct, copy, and modify. +void tst_QVector::create4() +{ + QVector4D null; + QCOMPARE(null.x(), (qreal)0.0f); + QCOMPARE(null.y(), (qreal)0.0f); + QCOMPARE(null.z(), (qreal)0.0f); + QCOMPARE(null.w(), (qreal)0.0f); + QVERIFY(null.isNull()); + + QVector4D v1(1.0f, 2.5f, -89.25f, 34.0f); + QCOMPARE(v1.x(), (qreal)1.0f); + QCOMPARE(v1.y(), (qreal)2.5f); + QCOMPARE(v1.z(), (qreal)-89.25f); + QCOMPARE(v1.w(), (qreal)34.0f); + QVERIFY(!v1.isNull()); + + QVector4D v1i(1, 2, -89, 34); + QCOMPARE(v1i.x(), (qreal)1.0f); + QCOMPARE(v1i.y(), (qreal)2.0f); + QCOMPARE(v1i.z(), (qreal)-89.0f); + QCOMPARE(v1i.w(), (qreal)34.0f); + QVERIFY(!v1i.isNull()); + + QVector4D v2(v1); + QCOMPARE(v2.x(), (qreal)1.0f); + QCOMPARE(v2.y(), (qreal)2.5f); + QCOMPARE(v2.z(), (qreal)-89.25f); + QCOMPARE(v2.w(), (qreal)34.0f); + QVERIFY(!v2.isNull()); + + QVector4D v3(1.0f, 2.5f, 0.0f, 0.0f); + QCOMPARE(v3.x(), (qreal)1.0f); + QCOMPARE(v3.y(), (qreal)2.5f); + QCOMPARE(v3.z(), (qreal)0.0f); + QCOMPARE(v3.w(), (qreal)0.0f); + QVERIFY(!v3.isNull()); + + QVector4D v3i(1, 2, 0, 0); + QCOMPARE(v3i.x(), (qreal)1.0f); + QCOMPARE(v3i.y(), (qreal)2.0f); + QCOMPARE(v3i.z(), (qreal)0.0f); + QCOMPARE(v3i.w(), (qreal)0.0f); + QVERIFY(!v3i.isNull()); + + QVector4D v3b(1.0f, 2.5f, -89.25f, 0.0f); + QCOMPARE(v3b.x(), (qreal)1.0f); + QCOMPARE(v3b.y(), (qreal)2.5f); + QCOMPARE(v3b.z(), (qreal)-89.25f); + QCOMPARE(v3b.w(), (qreal)0.0f); + QVERIFY(!v3b.isNull()); + + QVector4D v3bi(1, 2, -89, 0); + QCOMPARE(v3bi.x(), (qreal)1.0f); + QCOMPARE(v3bi.y(), (qreal)2.0f); + QCOMPARE(v3bi.z(), (qreal)-89.0f); + QCOMPARE(v3bi.w(), (qreal)0.0f); + QVERIFY(!v3bi.isNull()); + + QVector4D v4; + QCOMPARE(v4.x(), (qreal)0.0f); + QCOMPARE(v4.y(), (qreal)0.0f); + QCOMPARE(v4.z(), (qreal)0.0f); + QCOMPARE(v4.w(), (qreal)0.0f); + QVERIFY(v4.isNull()); + v4 = v1; + QCOMPARE(v4.x(), (qreal)1.0f); + QCOMPARE(v4.y(), (qreal)2.5f); + QCOMPARE(v4.z(), (qreal)-89.25f); + QCOMPARE(v4.w(), (qreal)34.0f); + QVERIFY(!v4.isNull()); + + QVector4D v5(QPoint(1, 2)); + QCOMPARE(v5.x(), (qreal)1.0f); + QCOMPARE(v5.y(), (qreal)2.0f); + QCOMPARE(v5.z(), (qreal)0.0f); + QCOMPARE(v5.w(), (qreal)0.0f); + QVERIFY(!v5.isNull()); + + QVector4D v6(QPointF(1, 2.5)); + QCOMPARE(v6.x(), (qreal)1.0f); + QCOMPARE(v6.y(), (qreal)2.5f); + QCOMPARE(v6.z(), (qreal)0.0f); + QCOMPARE(v6.w(), (qreal)0.0f); + QVERIFY(!v6.isNull()); + + QVector4D v7(QVector2D(1.0f, 2.5f)); + QCOMPARE(v7.x(), (qreal)1.0f); + QCOMPARE(v7.y(), (qreal)2.5f); + QCOMPARE(v7.z(), (qreal)0.0f); + QCOMPARE(v7.w(), (qreal)0.0f); + QVERIFY(!v7.isNull()); + + QVector4D v8(QVector3D(1.0f, 2.5f, -89.25f)); + QCOMPARE(v8.x(), (qreal)1.0f); + QCOMPARE(v8.y(), (qreal)2.5f); + QCOMPARE(v8.z(), (qreal)-89.25f); + QCOMPARE(v8.w(), (qreal)0.0f); + QVERIFY(!v8.isNull()); + + QVector4D v9(QVector3D(1.0f, 2.5f, -89.25f), 34); + QCOMPARE(v9.x(), (qreal)1.0f); + QCOMPARE(v9.y(), (qreal)2.5f); + QCOMPARE(v9.z(), (qreal)-89.25f); + QCOMPARE(v9.w(), (qreal)34.0f); + QVERIFY(!v9.isNull()); + + QVector4D v10(QVector2D(1.0f, 2.5f), 23.5f, -8); + QCOMPARE(v10.x(), (qreal)1.0f); + QCOMPARE(v10.y(), (qreal)2.5f); + QCOMPARE(v10.z(), (qreal)23.5f); + QCOMPARE(v10.w(), (qreal)-8.0f); + QVERIFY(!v10.isNull()); + + v1.setX(3.0f); + QCOMPARE(v1.x(), (qreal)3.0f); + QCOMPARE(v1.y(), (qreal)2.5f); + QCOMPARE(v1.z(), (qreal)-89.25f); + QCOMPARE(v1.w(), (qreal)34.0f); + QVERIFY(!v1.isNull()); + + v1.setY(10.5f); + QCOMPARE(v1.x(), (qreal)3.0f); + QCOMPARE(v1.y(), (qreal)10.5f); + QCOMPARE(v1.z(), (qreal)-89.25f); + QCOMPARE(v1.w(), (qreal)34.0f); + QVERIFY(!v1.isNull()); + + v1.setZ(15.5f); + QCOMPARE(v1.x(), (qreal)3.0f); + QCOMPARE(v1.y(), (qreal)10.5f); + QCOMPARE(v1.z(), (qreal)15.5f); + QCOMPARE(v1.w(), (qreal)34.0f); + QVERIFY(!v1.isNull()); + + v1.setW(6.0f); + QCOMPARE(v1.x(), (qreal)3.0f); + QCOMPARE(v1.y(), (qreal)10.5f); + QCOMPARE(v1.z(), (qreal)15.5f); + QCOMPARE(v1.w(), (qreal)6.0f); + QVERIFY(!v1.isNull()); + + v1.setX(0.0f); + v1.setY(0.0f); + v1.setZ(0.0f); + v1.setW(0.0f); + QCOMPARE(v1.x(), (qreal)0.0f); + QCOMPARE(v1.y(), (qreal)0.0f); + QCOMPARE(v1.z(), (qreal)0.0f); + QCOMPARE(v1.w(), (qreal)0.0f); + QVERIFY(v1.isNull()); + + QPoint p1 = v8.toPoint(); + QCOMPARE(p1.x(), 1); + QCOMPARE(p1.y(), 3); + + QPointF p2 = v8.toPointF(); + QCOMPARE((qreal)p2.x(), (qreal)1.0f); + QCOMPARE((qreal)p2.y(), (qreal)2.5f); + + QVector2D v11 = v8.toVector2D(); + QCOMPARE(v11.x(), (qreal)1.0f); + QCOMPARE(v11.y(), (qreal)2.5f); + + QVector3D v12 = v8.toVector3D(); + QCOMPARE(v12.x(), (qreal)1.0f); + QCOMPARE(v12.y(), (qreal)2.5f); + QCOMPARE(v12.z(), (qreal)-89.25f); + + QVector2D v13 = v9.toVector2DAffine(); + QVERIFY(fuzzyCompare(v13.x(), (qreal)(1.0f / 34.0f))); + QVERIFY(fuzzyCompare(v13.y(), (qreal)(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(fuzzyCompare(v14.x(), (qreal)(1.0f / 34.0f))); + QVERIFY(fuzzyCompare(v14.y(), (qreal)(2.5f / 34.0f))); + QVERIFY(fuzzyCompare(v14.z(), (qreal)(-89.25f / 34.0f))); + + v14 = zerow.toVector3DAffine(); + QVERIFY(v14.isNull()); +} + +// Test vector length computation for 2D vectors. +void tst_QVector::length2_data() +{ + QTest::addColumn<qreal>("x"); + QTest::addColumn<qreal>("y"); + QTest::addColumn<qreal>("len"); + + QTest::newRow("null") << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + QTest::newRow("1x") << (qreal)1.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("1y") << (qreal)0.0f << (qreal)1.0f << (qreal)1.0f; + QTest::newRow("-1x") << (qreal)-1.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("-1y") << (qreal)0.0f << (qreal)-1.0f << (qreal)1.0f; + QTest::newRow("two") << (qreal)2.0f << (qreal)-2.0f << (qreal)qSqrt(8.0f); +} +void tst_QVector::length2() +{ + QFETCH(qreal, x); + QFETCH(qreal, y); + QFETCH(qreal, len); + + QVector2D v(x, y); + QCOMPARE((float)(v.length()), (float)len); + QCOMPARE((float)(v.lengthSquared()), (float)(x * x + y * y)); +} + +// Test vector length computation for 3D vectors. +void tst_QVector::length3_data() +{ + QTest::addColumn<qreal>("x"); + QTest::addColumn<qreal>("y"); + QTest::addColumn<qreal>("z"); + QTest::addColumn<qreal>("len"); + + QTest::newRow("null") << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + QTest::newRow("1x") << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("1y") << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("1z") << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f << (qreal)1.0f; + QTest::newRow("-1x") << (qreal)-1.0f << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("-1y") << (qreal)0.0f << (qreal)-1.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("-1z") << (qreal)0.0f << (qreal)0.0f << (qreal)-1.0f << (qreal)1.0f; + QTest::newRow("two") << (qreal)2.0f << (qreal)-2.0f << (qreal)2.0f << (qreal)qSqrt(12.0f); +} +void tst_QVector::length3() +{ + QFETCH(qreal, x); + QFETCH(qreal, y); + QFETCH(qreal, z); + QFETCH(qreal, len); + + QVector3D v(x, y, z); + QCOMPARE((float)(v.length()), (float)len); + QCOMPARE((float)(v.lengthSquared()), (float)(x * x + y * y + z * z)); +} + +// Test vector length computation for 4D vectors. +void tst_QVector::length4_data() +{ + QTest::addColumn<qreal>("x"); + QTest::addColumn<qreal>("y"); + QTest::addColumn<qreal>("z"); + QTest::addColumn<qreal>("w"); + QTest::addColumn<qreal>("len"); + + QTest::newRow("null") << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + QTest::newRow("1x") << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("1y") << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("1z") << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("1w") << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f << (qreal)1.0f; + QTest::newRow("-1x") << (qreal)-1.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("-1y") << (qreal)0.0f << (qreal)-1.0f << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("-1z") << (qreal)0.0f << (qreal)0.0f << (qreal)-1.0f << (qreal)0.0f << (qreal)1.0f; + QTest::newRow("-1w") << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)-1.0f << (qreal)1.0f; + QTest::newRow("two") << (qreal)2.0f << (qreal)-2.0f << (qreal)2.0f << (qreal)2.0f << (qreal)qSqrt(16.0f); +} +void tst_QVector::length4() +{ + QFETCH(qreal, x); + QFETCH(qreal, y); + QFETCH(qreal, z); + QFETCH(qreal, w); + QFETCH(qreal, len); + + QVector4D v(x, y, z, w); + QCOMPARE((float)(v.length()), (float)len); + QCOMPARE((float)(v.lengthSquared()), (float)(x * x + y * y + z * z + w * w)); +} + +// Test the unit vector conversion for 2D vectors. +void tst_QVector::normalized2_data() +{ + // Use the same test data as the length test. + length2_data(); +} +void tst_QVector::normalized2() +{ + QFETCH(qreal, x); + QFETCH(qreal, y); + QFETCH(qreal, len); + + QVector2D v(x, y); + QVector2D u = v.normalized(); + if (v.isNull()) + QVERIFY(u.isNull()); + else + QCOMPARE((float)(u.length()), (float)1.0f); + QCOMPARE((float)(u.x() * len), (float)(v.x())); + QCOMPARE((float)(u.y() * len), (float)(v.y())); +} + +// Test the unit vector conversion for 3D vectors. +void tst_QVector::normalized3_data() +{ + // Use the same test data as the length test. + length3_data(); +} +void tst_QVector::normalized3() +{ + QFETCH(qreal, x); + QFETCH(qreal, y); + QFETCH(qreal, z); + QFETCH(qreal, len); + + QVector3D v(x, y, z); + QVector3D u = v.normalized(); + if (v.isNull()) + QVERIFY(u.isNull()); + else + QCOMPARE((float)(u.length()), (float)1.0f); + QCOMPARE((float)(u.x() * len), (float)(v.x())); + QCOMPARE((float)(u.y() * len), (float)(v.y())); + QCOMPARE((float)(u.z() * len), (float)(v.z())); +} + +// Test the unit vector conversion for 4D vectors. +void tst_QVector::normalized4_data() +{ + // Use the same test data as the length test. + length4_data(); +} +void tst_QVector::normalized4() +{ + QFETCH(qreal, x); + QFETCH(qreal, y); + QFETCH(qreal, z); + QFETCH(qreal, w); + QFETCH(qreal, len); + + QVector4D v(x, y, z, w); + QVector4D u = v.normalized(); + if (v.isNull()) + QVERIFY(u.isNull()); + else + QCOMPARE((float)(u.length()), (float)1.0f); + QCOMPARE((float)(u.x() * len), (float)(v.x())); + QCOMPARE((float)(u.y() * len), (float)(v.y())); + QCOMPARE((float)(u.z() * len), (float)(v.z())); + QCOMPARE((float)(u.w() * len), (float)(v.w())); +} + +// Test the unit vector conversion for 2D vectors. +void tst_QVector::normalize2_data() +{ + // Use the same test data as the length test. + length2_data(); +} +void tst_QVector::normalize2() +{ + QFETCH(qreal, x); + QFETCH(qreal, y); + + QVector2D v(x, y); + bool isNull = v.isNull(); + v.normalize(); + if (isNull) + QVERIFY(v.isNull()); + else + QCOMPARE((float)(v.length()), (float)1.0f); +} + +// Test the unit vector conversion for 3D vectors. +void tst_QVector::normalize3_data() +{ + // Use the same test data as the length test. + length3_data(); +} +void tst_QVector::normalize3() +{ + QFETCH(qreal, x); + QFETCH(qreal, y); + QFETCH(qreal, z); + + QVector3D v(x, y, z); + bool isNull = v.isNull(); + v.normalize(); + if (isNull) + QVERIFY(v.isNull()); + else + QCOMPARE((float)(v.length()), (float)1.0f); +} + +// Test the unit vector conversion for 4D vectors. +void tst_QVector::normalize4_data() +{ + // Use the same test data as the length test. + length4_data(); +} +void tst_QVector::normalize4() +{ + QFETCH(qreal, x); + QFETCH(qreal, y); + QFETCH(qreal, z); + QFETCH(qreal, w); + + QVector4D v(x, y, z, w); + bool isNull = v.isNull(); + v.normalize(); + if (isNull) + QVERIFY(v.isNull()); + else + QCOMPARE((float)(v.length()), (float)1.0f); +} + +// Test the comparison operators for 2D vectors. +void tst_QVector::compare2() +{ + QVector2D v1(1, 2); + QVector2D v2(1, 2); + QVector2D v3(3, 2); + QVector2D v4(1, 3); + + QVERIFY(v1 == v2); + QVERIFY(v1 != v3); + QVERIFY(v1 != v4); +} + +// Test the comparison operators for 3D vectors. +void tst_QVector::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); + + QVERIFY(v1 == v2); + QVERIFY(v1 != v3); + QVERIFY(v1 != v4); + QVERIFY(v1 != v5); +} + +// Test the comparison operators for 4D vectors. +void tst_QVector::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); + + QVERIFY(v1 == v2); + QVERIFY(v1 != v3); + QVERIFY(v1 != v4); + QVERIFY(v1 != v5); + QVERIFY(v1 != v6); +} + +// Test vector addition for 2D vectors. +void tst_QVector::add2_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("x3"); + QTest::addColumn<qreal>("y3"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("xonly") + << (qreal)1.0f << (qreal)0.0f + << (qreal)2.0f << (qreal)0.0f + << (qreal)3.0f << (qreal)0.0f; + + QTest::newRow("yonly") + << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f << (qreal)2.0f + << (qreal)0.0f << (qreal)3.0f; + + QTest::newRow("all") + << (qreal)1.0f << (qreal)2.0f + << (qreal)4.0f << (qreal)5.0f + << (qreal)5.0f << (qreal)7.0f; +} +void tst_QVector::add2() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + + QVector2D v1(x1, y1); + QVector2D v2(x2, y2); + QVector2D v3(x3, y3); + + QVERIFY((v1 + v2) == v3); + + QVector2D v4(v1); + v4 += v2; + QVERIFY(v4 == v3); + + QCOMPARE(v4.x(), v1.x() + v2.x()); + QCOMPARE(v4.y(), v1.y() + v2.y()); +} + +// Test vector addition for 3D vectors. +void tst_QVector::add3_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("z1"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("z2"); + QTest::addColumn<qreal>("x3"); + QTest::addColumn<qreal>("y3"); + QTest::addColumn<qreal>("z3"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("xonly") + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)3.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("yonly") + << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)3.0f << (qreal)0.0f; + + QTest::newRow("zonly") + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)3.0f; + + QTest::newRow("all") + << (qreal)1.0f << (qreal)2.0f << (qreal)3.0f + << (qreal)4.0f << (qreal)5.0f << (qreal)-6.0f + << (qreal)5.0f << (qreal)7.0f << (qreal)-3.0f; +} +void tst_QVector::add3() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + QFETCH(qreal, 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; + QVERIFY(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_QVector::add4_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("z1"); + QTest::addColumn<qreal>("w1"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("z2"); + QTest::addColumn<qreal>("w2"); + QTest::addColumn<qreal>("x3"); + QTest::addColumn<qreal>("y3"); + QTest::addColumn<qreal>("z3"); + QTest::addColumn<qreal>("w3"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("xonly") + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)3.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("yonly") + << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)3.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("zonly") + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)3.0f << (qreal)0.0f; + + QTest::newRow("wonly") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)3.0f; + + QTest::newRow("all") + << (qreal)1.0f << (qreal)2.0f << (qreal)3.0f << (qreal)8.0f + << (qreal)4.0f << (qreal)5.0f << (qreal)-6.0f << (qreal)9.0f + << (qreal)5.0f << (qreal)7.0f << (qreal)-3.0f << (qreal)17.0f; +} +void tst_QVector::add4() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, w1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, w2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + QFETCH(qreal, z3); + QFETCH(qreal, 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; + QVERIFY(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_QVector::subtract2_data() +{ + // Use the same test data as the add test. + add2_data(); +} +void tst_QVector::subtract2() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, x3); + QFETCH(qreal, 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; + QVERIFY(v4 == v2); + + QCOMPARE(v4.x(), v3.x() - v1.x()); + QCOMPARE(v4.y(), v3.y() - v1.y()); + + QVector2D v5(v3); + v5 -= v2; + QVERIFY(v5 == v1); + + QCOMPARE(v5.x(), v3.x() - v2.x()); + QCOMPARE(v5.y(), v3.y() - v2.y()); +} + +// Test vector subtraction for 3D vectors. +void tst_QVector::subtract3_data() +{ + // Use the same test data as the add test. + add3_data(); +} +void tst_QVector::subtract3() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + QFETCH(qreal, 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; + QVERIFY(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; + QVERIFY(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_QVector::subtract4_data() +{ + // Use the same test data as the add test. + add4_data(); +} +void tst_QVector::subtract4() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, w1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, w2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + QFETCH(qreal, z3); + QFETCH(qreal, 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; + QVERIFY(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; + QVERIFY(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_QVector::multiply2_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("x3"); + QTest::addColumn<qreal>("y3"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("xonly") + << (qreal)1.0f << (qreal)0.0f + << (qreal)2.0f << (qreal)0.0f + << (qreal)2.0f << (qreal)0.0f; + + QTest::newRow("yonly") + << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f << (qreal)2.0f + << (qreal)0.0f << (qreal)2.0f; + + QTest::newRow("all") + << (qreal)1.0f << (qreal)2.0f + << (qreal)4.0f << (qreal)5.0f + << (qreal)4.0f << (qreal)10.0f; +} +void tst_QVector::multiply2() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + + QVector2D v1(x1, y1); + QVector2D v2(x2, y2); + QVector2D v3(x3, y3); + + QVERIFY((v1 * v2) == v3); + + QVector2D v4(v1); + v4 *= v2; + QVERIFY(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_QVector::multiply3_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("z1"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("z2"); + QTest::addColumn<qreal>("x3"); + QTest::addColumn<qreal>("y3"); + QTest::addColumn<qreal>("z3"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("xonly") + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("yonly") + << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f; + + QTest::newRow("zonly") + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f; + + QTest::newRow("all") + << (qreal)1.0f << (qreal)2.0f << (qreal)3.0f + << (qreal)4.0f << (qreal)5.0f << (qreal)-6.0f + << (qreal)4.0f << (qreal)10.0f << (qreal)-18.0f; +} +void tst_QVector::multiply3() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + QFETCH(qreal, 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; + QVERIFY(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_QVector::multiply4_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("z1"); + QTest::addColumn<qreal>("w1"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("z2"); + QTest::addColumn<qreal>("w2"); + QTest::addColumn<qreal>("x3"); + QTest::addColumn<qreal>("y3"); + QTest::addColumn<qreal>("z3"); + QTest::addColumn<qreal>("w3"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("xonly") + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("yonly") + << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("zonly") + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f; + + QTest::newRow("wonly") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f; + + QTest::newRow("all") + << (qreal)1.0f << (qreal)2.0f << (qreal)3.0f << (qreal)8.0f + << (qreal)4.0f << (qreal)5.0f << (qreal)-6.0f << (qreal)9.0f + << (qreal)4.0f << (qreal)10.0f << (qreal)-18.0f << (qreal)72.0f; +} +void tst_QVector::multiply4() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, w1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, w2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + QFETCH(qreal, z3); + QFETCH(qreal, 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; + QVERIFY(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_QVector::multiplyFactor2_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("factor"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f + << (qreal)100.0f + << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("xonly") + << (qreal)1.0f << (qreal)0.0f + << (qreal)2.0f + << (qreal)2.0f << (qreal)0.0f; + + QTest::newRow("yonly") + << (qreal)0.0f << (qreal)1.0f + << (qreal)2.0f + << (qreal)0.0f << (qreal)2.0f; + + QTest::newRow("all") + << (qreal)1.0f << (qreal)2.0f + << (qreal)2.0f + << (qreal)2.0f << (qreal)4.0f; + + QTest::newRow("allzero") + << (qreal)1.0f << (qreal)2.0f + << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f; +} +void tst_QVector::multiplyFactor2() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, factor); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + + QVector2D v1(x1, y1); + QVector2D v2(x2, y2); + + QVERIFY((v1 * factor) == v2); + QVERIFY((factor * v1) == v2); + + QVector2D v3(v1); + v3 *= factor; + QVERIFY(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_QVector::multiplyFactor3_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("z1"); + QTest::addColumn<qreal>("factor"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("z2"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)100.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("xonly") + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)2.0f + << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("yonly") + << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f + << (qreal)2.0f + << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f; + + QTest::newRow("zonly") + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)2.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f; + + QTest::newRow("all") + << (qreal)1.0f << (qreal)2.0f << (qreal)-3.0f + << (qreal)2.0f + << (qreal)2.0f << (qreal)4.0f << (qreal)-6.0f; + + QTest::newRow("allzero") + << (qreal)1.0f << (qreal)2.0f << (qreal)-3.0f + << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; +} +void tst_QVector::multiplyFactor3() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, factor); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + + QVector3D v1(x1, y1, z1); + QVector3D v2(x2, y2, z2); + + QVERIFY((v1 * factor) == v2); + QVERIFY((factor * v1) == v2); + + QVector3D v3(v1); + v3 *= factor; + QVERIFY(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_QVector::multiplyFactor4_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("z1"); + QTest::addColumn<qreal>("w1"); + QTest::addColumn<qreal>("factor"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("z2"); + QTest::addColumn<qreal>("w2"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)100.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("xonly") + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)2.0f + << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("yonly") + << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)2.0f + << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f << (qreal)0.0f; + + QTest::newRow("zonly") + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f + << (qreal)2.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f; + + QTest::newRow("wonly") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)2.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f; + + QTest::newRow("all") + << (qreal)1.0f << (qreal)2.0f << (qreal)-3.0f << (qreal)4.0f + << (qreal)2.0f + << (qreal)2.0f << (qreal)4.0f << (qreal)-6.0f << (qreal)8.0f; + + QTest::newRow("allzero") + << (qreal)1.0f << (qreal)2.0f << (qreal)-3.0f << (qreal)4.0f + << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; +} +void tst_QVector::multiplyFactor4() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, w1); + QFETCH(qreal, factor); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, 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; + QVERIFY(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 vector division by a factor for 2D vectors. +void tst_QVector::divide2_data() +{ + // Use the same test data as the multiply test. + multiplyFactor2_data(); +} +void tst_QVector::divide2() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, factor); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + + QVector2D v1(x1, y1); + QVector2D v2(x2, y2); + + if (factor == (qreal)0.0f) + return; + + QVERIFY((v2 / factor) == v1); + + QVector2D v3(v2); + v3 /= factor; + QVERIFY(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_QVector::divide3_data() +{ + // Use the same test data as the multiply test. + multiplyFactor3_data(); +} +void tst_QVector::divide3() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, factor); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + + QVector3D v1(x1, y1, z1); + QVector3D v2(x2, y2, z2); + + if (factor == (qreal)0.0f) + return; + + QVERIFY((v2 / factor) == v1); + + QVector3D v3(v2); + v3 /= factor; + QVERIFY(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_QVector::divide4_data() +{ + // Use the same test data as the multiply test. + multiplyFactor4_data(); +} +void tst_QVector::divide4() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, w1); + QFETCH(qreal, factor); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, w2); + + QVector4D v1(x1, y1, z1, w1); + QVector4D v2(x2, y2, z2, w2); + + if (factor == (qreal)0.0f) + return; + + QVERIFY((v2 / factor) == v1); + + QVector4D v3(v2); + v3 /= factor; + QVERIFY(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_QVector::negate2_data() +{ + // Use the same test data as the add test. + add2_data(); +} +void tst_QVector::negate2() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + + QVector2D v1(x1, y1); + QVector2D v2(-x1, -y1); + + QVERIFY(-v1 == v2); +} + +// Test vector negation for 3D vectors. +void tst_QVector::negate3_data() +{ + // Use the same test data as the add test. + add3_data(); +} +void tst_QVector::negate3() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + + QVector3D v1(x1, y1, z1); + QVector3D v2(-x1, -y1, -z1); + + QVERIFY(-v1 == v2); +} + +// Test vector negation for 4D vectors. +void tst_QVector::negate4_data() +{ + // Use the same test data as the add test. + add4_data(); +} +void tst_QVector::negate4() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, w1); + + QVector4D v1(x1, y1, z1, w1); + QVector4D v2(-x1, -y1, -z1, -w1); + + QVERIFY(-v1 == v2); +} + +// Test the computation of vector cross-products. +void tst_QVector::crossProduct_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("z1"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("z2"); + QTest::addColumn<qreal>("x3"); + QTest::addColumn<qreal>("y3"); + QTest::addColumn<qreal>("z3"); + QTest::addColumn<qreal>("dot"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f; + + QTest::newRow("unitvec") + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f; + + QTest::newRow("complex") + << (qreal)1.0f << (qreal)2.0f << (qreal)3.0f + << (qreal)4.0f << (qreal)5.0f << (qreal)6.0f + << (qreal)-3.0f << (qreal)6.0f << (qreal)-3.0f + << (qreal)32.0f; +} +void tst_QVector::crossProduct() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + QFETCH(qreal, z3); + + QVector3D v1(x1, y1, z1); + QVector3D v2(x2, y2, z2); + QVector3D v3(x3, y3, z3); + + QVector3D v4 = QVector3D::crossProduct(v1, v2); + QVERIFY(v4 == v3); + + // Compute the cross-product long-hand and check again. + qreal xres = y1 * z2 - z1 * y2; + qreal yres = z1 * x2 - x1 * z2; + qreal zres = x1 * y2 - y1 * x2; + + QCOMPARE(v4.x(), xres); + QCOMPARE(v4.y(), yres); + QCOMPARE(v4.z(), zres); +} + +// Test the computation of normals. +void tst_QVector::normal_data() +{ + // Use the same test data as the crossProduct test. + crossProduct_data(); +} +void tst_QVector::normal() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + QFETCH(qreal, 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 plane calculations. +void tst_QVector::distanceToPlane_data() +{ + QTest::addColumn<qreal>("x1"); // Point on plane + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("z1"); + QTest::addColumn<qreal>("x2"); // Normal to plane + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("z2"); + QTest::addColumn<qreal>("x3"); // Point to test for distance + QTest::addColumn<qreal>("y3"); + QTest::addColumn<qreal>("z3"); + QTest::addColumn<qreal>("x4"); // Second point on plane + QTest::addColumn<qreal>("y4"); + QTest::addColumn<qreal>("z4"); + QTest::addColumn<qreal>("x5"); // Third point on plane + QTest::addColumn<qreal>("y5"); + QTest::addColumn<qreal>("z5"); + QTest::addColumn<qreal>("distance"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f + << (qreal)0.0f; + + QTest::newRow("above") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)2.0f + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f + << (qreal)2.0f; + + QTest::newRow("below") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)-1.0f << (qreal)1.0f << (qreal)-2.0f + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)2.0f << (qreal)0.0f + << (qreal)-2.0f; +} +void tst_QVector::distanceToPlane() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + QFETCH(qreal, z3); + QFETCH(qreal, x4); + QFETCH(qreal, y4); + QFETCH(qreal, z4); + QFETCH(qreal, x5); + QFETCH(qreal, y5); + QFETCH(qreal, z5); + QFETCH(qreal, 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_QVector::distanceToLine_data() +{ + QTest::addColumn<qreal>("x1"); // Point on line + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("z1"); + QTest::addColumn<qreal>("x2"); // Direction of the line + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("z2"); + QTest::addColumn<qreal>("x3"); // Point to test for distance + QTest::addColumn<qreal>("y3"); + QTest::addColumn<qreal>("z3"); + QTest::addColumn<qreal>("distance"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f; + + QTest::newRow("on line") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)5.0f + << (qreal)0.0f; + + QTest::newRow("off line") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)1.0f; + + QTest::newRow("off line 2") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f << (qreal)-2.0f << (qreal)0.0f + << (qreal)2.0f; + + QTest::newRow("points") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)5.0f << (qreal)0.0f + << (qreal)5.0f; +} +void tst_QVector::distanceToLine() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + QFETCH(qreal, z3); + QFETCH(qreal, 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_QVector::dotProduct2_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("dot"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f; + + QTest::newRow("unitvec") + << (qreal)1.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)1.0f + << (qreal)0.0f; + + QTest::newRow("complex") + << (qreal)1.0f << (qreal)2.0f + << (qreal)4.0f << (qreal)5.0f + << (qreal)14.0f; +} +void tst_QVector::dotProduct2() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, dot); + + QVector2D v1(x1, y1); + QVector2D v2(x2, y2); + + QVERIFY(QVector2D::dotProduct(v1, v2) == dot); + + // Compute the dot-product long-hand and check again. + qreal d = x1 * x2 + y1 * y2; + + QCOMPARE(QVector2D::dotProduct(v1, v2), d); +} + +// Test the computation of dot products for 3D vectors. +void tst_QVector::dotProduct3_data() +{ + // Use the same test data as the crossProduct test. + crossProduct_data(); +} +void tst_QVector::dotProduct3() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, x3); + QFETCH(qreal, y3); + QFETCH(qreal, z3); + QFETCH(qreal, 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. + qreal d = x1 * x2 + y1 * y2 + z1 * z2; + + QCOMPARE(QVector3D::dotProduct(v1, v2), d); +} + +// Test the computation of dot products for 4D vectors. +void tst_QVector::dotProduct4_data() +{ + QTest::addColumn<qreal>("x1"); + QTest::addColumn<qreal>("y1"); + QTest::addColumn<qreal>("z1"); + QTest::addColumn<qreal>("w1"); + QTest::addColumn<qreal>("x2"); + QTest::addColumn<qreal>("y2"); + QTest::addColumn<qreal>("z2"); + QTest::addColumn<qreal>("w2"); + QTest::addColumn<qreal>("dot"); + + QTest::newRow("null") + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f; + + QTest::newRow("unitvec") + << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f + << (qreal)0.0f; + + QTest::newRow("complex") + << (qreal)1.0f << (qreal)2.0f << (qreal)3.0f << (qreal)4.0f + << (qreal)4.0f << (qreal)5.0f << (qreal)6.0f << (qreal)7.0f + << (qreal)60.0f; +} +void tst_QVector::dotProduct4() +{ + QFETCH(qreal, x1); + QFETCH(qreal, y1); + QFETCH(qreal, z1); + QFETCH(qreal, w1); + QFETCH(qreal, x2); + QFETCH(qreal, y2); + QFETCH(qreal, z2); + QFETCH(qreal, w2); + QFETCH(qreal, 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. + qreal d = x1 * x2 + y1 * y2 + z1 * z2 + w1 * w2; + + QCOMPARE(QVector4D::dotProduct(v1, v2), d); +} + +QTEST_APPLESS_MAIN(tst_QVector) + +#include "tst_qvectornd.moc" |