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Diffstat (limited to 'tests/auto/math3d/qmatrixnxn/tst_qmatrixnxn.cpp')
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diff --git a/tests/auto/math3d/qmatrixnxn/tst_qmatrixnxn.cpp b/tests/auto/math3d/qmatrixnxn/tst_qmatrixnxn.cpp deleted file mode 100644 index 5541162..0000000 --- a/tests/auto/math3d/qmatrixnxn/tst_qmatrixnxn.cpp +++ /dev/null @@ -1,3383 +0,0 @@ -/**************************************************************************** -** -** Copyright (C) 2009 Nokia Corporation and/or its subsidiary(-ies). -** Contact: Nokia Corporation (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 http://qt.nokia.com/contact. -** $QT_END_LICENSE$ -** -****************************************************************************/ - -#include <QtTest/QtTest> -#include <QtCore/qmath.h> -#include "math3dincludes.h" - -class tst_QMatrixNxN : public QObject -{ - Q_OBJECT -public: - tst_QMatrixNxN() {} - ~tst_QMatrixNxN() {} - -private slots: - void create2x2(); - void create3x3(); - void create4x4(); - void create4x3(); - - void isIdentity2x2(); - void isIdentity3x3(); - void isIdentity4x4(); - void isIdentity4x3(); - - void compare2x2(); - void compare3x3(); - void compare4x4(); - void compare4x3(); - - void transposed2x2(); - void transposed3x3(); - void transposed4x4(); - void transposed4x3(); - - void add2x2_data(); - void add2x2(); - void add3x3_data(); - void add3x3(); - void add4x4_data(); - void add4x4(); - void add4x3_data(); - void add4x3(); - - void subtract2x2_data(); - void subtract2x2(); - void subtract3x3_data(); - void subtract3x3(); - void subtract4x4_data(); - void subtract4x4(); - void subtract4x3_data(); - void subtract4x3(); - - void multiply2x2_data(); - void multiply2x2(); - void multiply3x3_data(); - void multiply3x3(); - void multiply4x4_data(); - void multiply4x4(); - void multiply4x3_data(); - void multiply4x3(); - - void multiplyFactor2x2_data(); - void multiplyFactor2x2(); - void multiplyFactor3x3_data(); - void multiplyFactor3x3(); - void multiplyFactor4x4_data(); - void multiplyFactor4x4(); - void multiplyFactor4x3_data(); - void multiplyFactor4x3(); - - void divideFactor2x2_data(); - void divideFactor2x2(); - void divideFactor3x3_data(); - void divideFactor3x3(); - void divideFactor4x4_data(); - void divideFactor4x4(); - void divideFactor4x3_data(); - void divideFactor4x3(); - - void negate2x2_data(); - void negate2x2(); - void negate3x3_data(); - void negate3x3(); - void negate4x4_data(); - void negate4x4(); - void negate4x3_data(); - void negate4x3(); - - void inverted4x4_data(); - void inverted4x4(); - - void orthonormalInverse4x4(); - - void scale4x4_data(); - void scale4x4(); - - void translate4x4_data(); - void translate4x4(); - - void rotate4x4_data(); - void rotate4x4(); - - void normalMatrix_data(); - void normalMatrix(); - - void optimizedTransforms(); - - void ortho(); - void frustum(); - void perspective(); - void flipCoordinates(); - - void convertGeneric(); - - void extractAxisRotation_data(); - void extractAxisRotation(); - - void extractTranslation_data(); - void extractTranslation(); - - void inferSpecialType_data(); - void inferSpecialType(); - - void columnsAndRows(); - - void convertQMatrix(); - void convertQTransform(); - - void fill(); - - void mapRect_data(); - void mapRect(); - - void properties(); - void metaTypes(); - -private: - static void setMatrix(QMatrix2x2& m, const qreal *values); - static void setMatrixDirect(QMatrix2x2& m, const qreal *values); - static bool isSame(const QMatrix2x2& m, const qreal *values); - static bool isIdentity(const QMatrix2x2& m); - - static void setMatrix(QMatrix3x3& m, const qreal *values); - static void setMatrixDirect(QMatrix3x3& m, const qreal *values); - static bool isSame(const QMatrix3x3& m, const qreal *values); - static bool isIdentity(const QMatrix3x3& m); - - static void setMatrix(QMatrix4x4& m, const qreal *values); - static void setMatrixDirect(QMatrix4x4& m, const qreal *values); - static bool isSame(const QMatrix4x4& m, const qreal *values); - static bool isIdentity(const QMatrix4x4& m); - - static void setMatrix(QMatrix4x3& m, const qreal *values); - static void setMatrixDirect(QMatrix4x3& m, const qreal *values); - static bool isSame(const QMatrix4x3& m, const qreal *values); - static bool isIdentity(const QMatrix4x3& m); -}; - -static const qreal nullValues2[] = - {0.0f, 0.0f, - 0.0f, 0.0f}; - -static qreal const identityValues2[16] = - {1.0f, 0.0f, - 0.0f, 1.0f}; - -static const qreal doubleIdentity2[] = - {2.0f, 0.0f, - 0.0f, 2.0f}; - -static qreal const uniqueValues2[16] = - {1.0f, 2.0f, - 5.0f, 6.0f}; - -static qreal const transposedValues2[16] = - {1.0f, 5.0f, - 2.0f, 6.0f}; - -static const qreal nullValues3[] = - {0.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 0.0f}; - -static qreal const identityValues3[16] = - {1.0f, 0.0f, 0.0f, - 0.0f, 1.0f, 0.0f, - 0.0f, 0.0f, 1.0f}; - -static const qreal doubleIdentity3[] = - {2.0f, 0.0f, 0.0f, - 0.0f, 2.0f, 0.0f, - 0.0f, 0.0f, 2.0f}; - -static qreal const uniqueValues3[16] = - {1.0f, 2.0f, 3.0f, - 5.0f, 6.0f, 7.0f, - 9.0f, 10.0f, 11.0f}; - -static qreal const transposedValues3[16] = - {1.0f, 5.0f, 9.0f, - 2.0f, 6.0f, 10.0f, - 3.0f, 7.0f, 11.0f}; - -static const qreal nullValues4[] = - {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}; - -static qreal const identityValues4[16] = - {1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 1.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 1.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - -static const qreal doubleIdentity4[] = - {2.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 2.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 2.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 2.0f}; - -static qreal const uniqueValues4[16] = - {1.0f, 2.0f, 3.0f, 4.0f, - 5.0f, 6.0f, 7.0f, 8.0f, - 9.0f, 10.0f, 11.0f, 12.0f, - 13.0f, 14.0f, 15.0f, 16.0f}; - -static qreal const transposedValues4[16] = - {1.0f, 5.0f, 9.0f, 13.0f, - 2.0f, 6.0f, 10.0f, 14.0f, - 3.0f, 7.0f, 11.0f, 15.0f, - 4.0f, 8.0f, 12.0f, 16.0f}; - -static const qreal nullValues4x3[] = - {0.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 0.0f}; - -static qreal const identityValues4x3[12] = - {1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 1.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 1.0f, 0.0f}; - -static qreal const doubleIdentity4x3[12] = - {2.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 2.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 2.0f, 0.0f}; - -static qreal const uniqueValues4x3[12] = - {1.0f, 2.0f, 3.0f, 4.0f, - 5.0f, 6.0f, 7.0f, 8.0f, - 9.0f, 10.0f, 11.0f, 12.0f}; - -static qreal const transposedValues3x4[12] = - {1.0f, 5.0f, 9.0f, - 2.0f, 6.0f, 10.0f, - 3.0f, 7.0f, 11.0f, - 4.0f, 8.0f, 12.0f}; - -// Set a matrix to a specified array of values, which are assumed -// to be in row-major order. This sets the values using floating-point. -void tst_QMatrixNxN::setMatrix(QMatrix2x2& m, const qreal *values) -{ - for (int row = 0; row < 2; ++row) - for (int col = 0; col < 2; ++col) - m(row, col) = values[row * 2 + col]; -} -void tst_QMatrixNxN::setMatrix(QMatrix3x3& m, const qreal *values) -{ - for (int row = 0; row < 3; ++row) - for (int col = 0; col < 3; ++col) - m(row, col) = values[row * 3 + col]; -} -void tst_QMatrixNxN::setMatrix(QMatrix4x4& m, const qreal *values) -{ - for (int row = 0; row < 4; ++row) - for (int col = 0; col < 4; ++col) - m(row, col) = values[row * 4 + col]; -} -void tst_QMatrixNxN::setMatrix(QMatrix4x3& m, const qreal *values) -{ - for (int row = 0; row < 3; ++row) - for (int col = 0; col < 4; ++col) - m(row, col) = values[row * 4 + col]; -} - -// Set a matrix to a specified array of values, which are assumed -// to be in row-major order. This sets the values directly into -// the internal data() array. -void tst_QMatrixNxN::setMatrixDirect(QMatrix2x2& m, const qreal *values) -{ - float *data = m.data(); - for (int row = 0; row < 2; ++row) { - for (int col = 0; col < 2; ++col) { - data[row + col * 2] = values[row * 2 + col]; - } - } -} -void tst_QMatrixNxN::setMatrixDirect(QMatrix3x3& m, const qreal *values) -{ - float *data = m.data(); - for (int row = 0; row < 3; ++row) { - for (int col = 0; col < 3; ++col) { - data[row + col * 3] = values[row * 3 + col]; - } - } -} -void tst_QMatrixNxN::setMatrixDirect(QMatrix4x4& m, const qreal *values) -{ - float *data = m.data(); - for (int row = 0; row < 4; ++row) { - for (int col = 0; col < 4; ++col) { - data[row + col * 4] = values[row * 4 + col]; - } - } -} -void tst_QMatrixNxN::setMatrixDirect(QMatrix4x3& m, const qreal *values) -{ - float *data = m.data(); - for (int row = 0; row < 3; ++row) { - for (int col = 0; col < 4; ++col) { - data[row + col * 3] = values[row * 4 + col]; - } - } -} - -// qFuzzyCompare isn't always "fuzzy" enough to handle conversion -// between float, double, and qreal. So create "fuzzier" compares. -static bool fuzzyCompare(float x, float y, qreal epsilon = 0.001) -{ - float diff = x - y; - if (diff < 0.0f) - diff = -diff; - return (diff < epsilon); -} - -static bool fuzzyCompare(const QVector3D &v1, const QVector3D &v2, qreal epsilon = 0.001) -{ - if (!fuzzyCompare(v1.x(), v2.x(), epsilon)) - return false; - if (!fuzzyCompare(v1.y(), v2.y(), epsilon)) - return false; - if (!fuzzyCompare(v1.z(), v2.z(), epsilon)) - return false; - return true; -} - -static bool matrixFuzzyCompare(const QMatrix4x4 &m1, const QMatrix4x4 &m2) -{ - bool ret = true; - for (int i = 0; i < 4; i++) { - for (int j = 0; j < 4; j++) { - ret = ret && fuzzyCompare(m1(i, j), m2(i, j)); - } - } - - return ret; -} - -// Determine if a matrix is the same as a specified array of values. -// The values are assumed to be specified in row-major order. -bool tst_QMatrixNxN::isSame(const QMatrix2x2& m, const qreal *values) -{ - const float *mv = m.constData(); - for (int row = 0; row < 2; ++row) { - for (int col = 0; col < 2; ++col) { - // Check the values using the operator() function. - if (!fuzzyCompare((float)(m(row, col)), (float)(values[row * 2 + col]))) { - qDebug() << "floating-point failure at" << row << col << "actual =" << m(row, col) << "expected =" << values[row * 2 + col]; - return false; - } - - // Check the values using direct access, which verifies that the values - // are stored internally in column-major order. - if (!fuzzyCompare((float)(mv[col * 2 + row]), (float)(values[row * 2 + col]))) { - qDebug() << "column floating-point failure at" << row << col << "actual =" << mv[col * 2 + row] << "expected =" << values[row * 2 + col]; - return false; - } - } - } - return true; -} -bool tst_QMatrixNxN::isSame(const QMatrix3x3& m, const qreal *values) -{ - const float *mv = m.constData(); - for (int row = 0; row < 3; ++row) { - for (int col = 0; col < 3; ++col) { - // Check the values using the operator() access function. - if (!fuzzyCompare((float)(m(row, col)), (float)(values[row * 3 + col]))) { - qDebug() << "floating-point failure at" << row << col << "actual =" << m(row, col) << "expected =" << values[row * 3 + col]; - return false; - } - - // Check the values using direct access, which verifies that the values - // are stored internally in column-major order. - if (!fuzzyCompare((float)(mv[col * 3 + row]), (float)(values[row * 3 + col]))) { - qDebug() << "column floating-point failure at" << row << col << "actual =" << mv[col * 3 + row] << "expected =" << values[row * 3 + col]; - return false; - } - } - } - return true; -} -bool tst_QMatrixNxN::isSame(const QMatrix4x4& m, const qreal *values) -{ - const float *mv = m.constData(); - for (int row = 0; row < 4; ++row) { - for (int col = 0; col < 4; ++col) { - // Check the values using the operator() access function. - if (!fuzzyCompare((float)(m(row, col)), (float)(values[row * 4 + col]))) { - qDebug() << "floating-point failure at" << row << col << "actual =" << m(row, col) << "expected =" << values[row * 4 + col]; - return false; - } - - // Check the values using direct access, which verifies that the values - // are stored internally in column-major order. - if (!fuzzyCompare((float)(mv[col * 4 + row]), (float)(values[row * 4 + col]))) { - qDebug() << "column floating-point failure at" << row << col << "actual =" << mv[col * 4 + row] << "expected =" << values[row * 4 + col]; - return false; - } - } - } - return true; -} -bool tst_QMatrixNxN::isSame(const QMatrix4x3& m, const qreal *values) -{ - const float *mv = m.constData(); - for (int row = 0; row < 3; ++row) { - for (int col = 0; col < 4; ++col) { - // Check the values using the operator() access function. - if (!fuzzyCompare((float)(m(row, col)), (float)(values[row * 4 + col]))) { - qDebug() << "floating-point failure at" << row << col << "actual =" << m(row, col) << "expected =" << values[row * 4 + col]; - return false; - } - - // Check the values using direct access, which verifies that the values - // are stored internally in column-major order. - if (!fuzzyCompare((float)(mv[col * 3 + row]), (float)(values[row * 4 + col]))) { - qDebug() << "column floating-point failure at" << row << col << "actual =" << mv[col * 3 + row] << "expected =" << values[row * 4 + col]; - return false; - } - } - } - return true; -} - -// Determine if a matrix is the identity. -bool tst_QMatrixNxN::isIdentity(const QMatrix2x2& m) -{ - return isSame(m, identityValues2); -} -bool tst_QMatrixNxN::isIdentity(const QMatrix3x3& m) -{ - return isSame(m, identityValues3); -} -bool tst_QMatrixNxN::isIdentity(const QMatrix4x4& m) -{ - return isSame(m, identityValues4); -} -bool tst_QMatrixNxN::isIdentity(const QMatrix4x3& m) -{ - return isSame(m, identityValues4x3); -} - -// Test the creation of QMatrix2x2 objects in various ways: -// construct, copy, and modify. -void tst_QMatrixNxN::create2x2() -{ - QMatrix2x2 m1; - QVERIFY(isIdentity(m1)); - QVERIFY(m1.isIdentity()); - - QMatrix2x2 m2; - setMatrix(m2, uniqueValues2); - QVERIFY(isSame(m2, uniqueValues2)); - QVERIFY(!m2.isIdentity()); - - QMatrix2x2 m3; - setMatrixDirect(m3, uniqueValues2); - QVERIFY(isSame(m3, uniqueValues2)); - - QMatrix2x2 m4(m3); - QVERIFY(isSame(m4, uniqueValues2)); - - QMatrix2x2 m5; - m5 = m3; - QVERIFY(isSame(m5, uniqueValues2)); - - m5.setIdentity(); - QVERIFY(isIdentity(m5)); - - QMatrix2x2 m6(uniqueValues2); - QVERIFY(isSame(m6, uniqueValues2)); - qreal vals[4]; - m6.toValueArray(vals); - for (int index = 0; index < 4; ++index) - QCOMPARE((float)(vals[index]), (float)(uniqueValues2[index])); -} - -// Test the creation of QMatrix3x3 objects in various ways: -// construct, copy, and modify. -void tst_QMatrixNxN::create3x3() -{ - QMatrix3x3 m1; - QVERIFY(isIdentity(m1)); - QVERIFY(m1.isIdentity()); - - QMatrix3x3 m2; - setMatrix(m2, uniqueValues3); - QVERIFY(isSame(m2, uniqueValues3)); - QVERIFY(!m2.isIdentity()); - - QMatrix3x3 m3; - setMatrixDirect(m3, uniqueValues3); - QVERIFY(isSame(m3, uniqueValues3)); - - QMatrix3x3 m4(m3); - QVERIFY(isSame(m4, uniqueValues3)); - - QMatrix3x3 m5; - m5 = m3; - QVERIFY(isSame(m5, uniqueValues3)); - - m5.setIdentity(); - QVERIFY(isIdentity(m5)); - - QMatrix3x3 m6(uniqueValues3); - QVERIFY(isSame(m6, uniqueValues3)); - qreal vals[9]; - m6.toValueArray(vals); - for (int index = 0; index < 9; ++index) - QCOMPARE((float)(vals[index]), (float)(uniqueValues3[index])); -} - -// Test the creation of QMatrix4x4 objects in various ways: -// construct, copy, and modify. -void tst_QMatrixNxN::create4x4() -{ - QMatrix4x4 m1; - QVERIFY(isIdentity(m1)); - QVERIFY(m1.isIdentity()); - - QMatrix4x4 m2; - setMatrix(m2, uniqueValues4); - QVERIFY(isSame(m2, uniqueValues4)); - QVERIFY(!m2.isIdentity()); - - QMatrix4x4 m3; - setMatrixDirect(m3, uniqueValues4); - QVERIFY(isSame(m3, uniqueValues4)); - - QMatrix4x4 m4(m3); - QVERIFY(isSame(m4, uniqueValues4)); - - QMatrix4x4 m5; - m5 = m3; - QVERIFY(isSame(m5, uniqueValues4)); - - m5.setIdentity(); - QVERIFY(isIdentity(m5)); - - QMatrix4x4 m6(uniqueValues4); - QVERIFY(isSame(m6, uniqueValues4)); - qreal vals[16]; - m6.toValueArray(vals); - for (int index = 0; index < 16; ++index) - QCOMPARE((float)(vals[index]), (float)(uniqueValues4[index])); - - QMatrix4x4 m8 - (uniqueValues4[0], uniqueValues4[1], uniqueValues4[2], uniqueValues4[3], - uniqueValues4[4], uniqueValues4[5], uniqueValues4[6], uniqueValues4[7], - uniqueValues4[8], uniqueValues4[9], uniqueValues4[10], uniqueValues4[11], - uniqueValues4[12], uniqueValues4[13], uniqueValues4[14], uniqueValues4[15]); - QVERIFY(isSame(m8, uniqueValues4)); -} - -// Test the creation of QMatrix4x3 objects in various ways: -// construct, copy, and modify. -void tst_QMatrixNxN::create4x3() -{ - QMatrix4x3 m1; - QVERIFY(isIdentity(m1)); - QVERIFY(m1.isIdentity()); - - QMatrix4x3 m2; - setMatrix(m2, uniqueValues4x3); - QVERIFY(isSame(m2, uniqueValues4x3)); - QVERIFY(!m2.isIdentity()); - - QMatrix4x3 m3; - setMatrixDirect(m3, uniqueValues4x3); - QVERIFY(isSame(m3, uniqueValues4x3)); - - QMatrix4x3 m4(m3); - QVERIFY(isSame(m4, uniqueValues4x3)); - - QMatrix4x3 m5; - m5 = m3; - QVERIFY(isSame(m5, uniqueValues4x3)); - - m5.setIdentity(); - QVERIFY(isIdentity(m5)); - - QMatrix4x3 m6(uniqueValues4x3); - QVERIFY(isSame(m6, uniqueValues4x3)); - qreal vals[12]; - m6.toValueArray(vals); - for (int index = 0; index < 12; ++index) - QCOMPARE((float)(vals[index]), (float)(uniqueValues4x3[index])); -} - -// Test isIdentity() for 2x2 matrices. -void tst_QMatrixNxN::isIdentity2x2() -{ - for (int i = 0; i < 2 * 2; ++i) { - QMatrix2x2 m; - QVERIFY(m.isIdentity()); - m.data()[i] = 42.0f; - QVERIFY(!m.isIdentity()); - } -} - -// Test isIdentity() for 3x3 matrices. -void tst_QMatrixNxN::isIdentity3x3() -{ - for (int i = 0; i < 3 * 3; ++i) { - QMatrix3x3 m; - QVERIFY(m.isIdentity()); - m.data()[i] = 42.0f; - QVERIFY(!m.isIdentity()); - } -} - -// Test isIdentity() for 4x4 matrices. -void tst_QMatrixNxN::isIdentity4x4() -{ - for (int i = 0; i < 4 * 4; ++i) { - QMatrix4x4 m; - QVERIFY(m.isIdentity()); - m.data()[i] = 42.0f; - QVERIFY(!m.isIdentity()); - } - - // Force the "Identity" flag bit to be lost and check again. - QMatrix4x4 m2; - m2.data()[0] = 1.0f; - QVERIFY(m2.isIdentity()); -} - -// Test isIdentity() for 4x3 matrices. -void tst_QMatrixNxN::isIdentity4x3() -{ - for (int i = 0; i < 4 * 3; ++i) { - QMatrix4x3 m; - QVERIFY(m.isIdentity()); - m.data()[i] = 42.0f; - QVERIFY(!m.isIdentity()); - } -} - -// Test 2x2 matrix comparisons. -void tst_QMatrixNxN::compare2x2() -{ - QMatrix2x2 m1(uniqueValues2); - QMatrix2x2 m2(uniqueValues2); - QMatrix2x2 m3(transposedValues2); - - QVERIFY(m1 == m2); - QVERIFY(!(m1 != m2)); - QVERIFY(m1 != m3); - QVERIFY(!(m1 == m3)); -} - -// Test 3x3 matrix comparisons. -void tst_QMatrixNxN::compare3x3() -{ - QMatrix3x3 m1(uniqueValues3); - QMatrix3x3 m2(uniqueValues3); - QMatrix3x3 m3(transposedValues3); - - QVERIFY(m1 == m2); - QVERIFY(!(m1 != m2)); - QVERIFY(m1 != m3); - QVERIFY(!(m1 == m3)); -} - -// Test 4x4 matrix comparisons. -void tst_QMatrixNxN::compare4x4() -{ - QMatrix4x4 m1(uniqueValues4); - QMatrix4x4 m2(uniqueValues4); - QMatrix4x4 m3(transposedValues4); - - QVERIFY(m1 == m2); - QVERIFY(!(m1 != m2)); - QVERIFY(m1 != m3); - QVERIFY(!(m1 == m3)); -} - -// Test 4x3 matrix comparisons. -void tst_QMatrixNxN::compare4x3() -{ - QMatrix4x3 m1(uniqueValues4x3); - QMatrix4x3 m2(uniqueValues4x3); - QMatrix4x3 m3(transposedValues3x4); - - QVERIFY(m1 == m2); - QVERIFY(!(m1 != m2)); - QVERIFY(m1 != m3); - QVERIFY(!(m1 == m3)); -} - -// Test matrix 2x2 transpose operations. -void tst_QMatrixNxN::transposed2x2() -{ - // Transposing the identity should result in the identity. - QMatrix2x2 m1; - QMatrix2x2 m2 = m1.transposed(); - QVERIFY(isIdentity(m2)); - - // Transpose a more interesting matrix that allows us to track - // exactly where each source element ends up. - QMatrix2x2 m3(uniqueValues2); - QMatrix2x2 m4 = m3.transposed(); - QVERIFY(isSame(m4, transposedValues2)); - - // Transpose in-place, just to check that the compiler is sane. - m3 = m3.transposed(); - QVERIFY(isSame(m3, transposedValues2)); -} - -// Test matrix 3x3 transpose operations. -void tst_QMatrixNxN::transposed3x3() -{ - // Transposing the identity should result in the identity. - QMatrix3x3 m1; - QMatrix3x3 m2 = m1.transposed(); - QVERIFY(isIdentity(m2)); - - // Transpose a more interesting matrix that allows us to track - // exactly where each source element ends up. - QMatrix3x3 m3(uniqueValues3); - QMatrix3x3 m4 = m3.transposed(); - QVERIFY(isSame(m4, transposedValues3)); - - // Transpose in-place, just to check that the compiler is sane. - m3 = m3.transposed(); - QVERIFY(isSame(m3, transposedValues3)); -} - -// Test matrix 4x4 transpose operations. -void tst_QMatrixNxN::transposed4x4() -{ - // Transposing the identity should result in the identity. - QMatrix4x4 m1; - QMatrix4x4 m2 = m1.transposed(); - QVERIFY(isIdentity(m2)); - - // Transpose a more interesting matrix that allows us to track - // exactly where each source element ends up. - QMatrix4x4 m3(uniqueValues4); - QMatrix4x4 m4 = m3.transposed(); - QVERIFY(isSame(m4, transposedValues4)); - - // Transpose in-place, just to check that the compiler is sane. - m3 = m3.transposed(); - QVERIFY(isSame(m3, transposedValues4)); -} - -// Test matrix 4x3 transpose operations. -void tst_QMatrixNxN::transposed4x3() -{ - QMatrix4x3 m3(uniqueValues4x3); - QMatrix3x4 m4 = m3.transposed(); - qreal values[12]; - m4.toValueArray(values); - for (int index = 0; index < 12; ++index) - QCOMPARE(values[index], transposedValues3x4[index]); -} - -// Test matrix addition for 2x2 matrices. -void tst_QMatrixNxN::add2x2_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<void *>("m2Values"); - QTest::addColumn<void *>("m3Values"); - - QTest::newRow("null") - << (void *)nullValues2 << (void *)nullValues2 << (void *)nullValues2; - - QTest::newRow("identity/null") - << (void *)identityValues2 << (void *)nullValues2 << (void *)identityValues2; - - QTest::newRow("identity/identity") - << (void *)identityValues2 << (void *)identityValues2 << (void *)doubleIdentity2; - - static qreal const sumValues[16] = - {2.0f, 7.0f, - 7.0f, 12.0f}; - QTest::newRow("unique") - << (void *)uniqueValues2 << (void *)transposedValues2 << (void *)sumValues; -} -void tst_QMatrixNxN::add2x2() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix2x2 m1((const qreal *)m1Values); - QMatrix2x2 m2((const qreal *)m2Values); - - QMatrix2x2 m4(m1); - m4 += m2; - QVERIFY(isSame(m4, (const qreal *)m3Values)); - - QMatrix2x2 m5; - m5 = m1 + m2; - QVERIFY(isSame(m5, (const qreal *)m3Values)); -} - -// Test matrix addition for 3x3 matrices. -void tst_QMatrixNxN::add3x3_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<void *>("m2Values"); - QTest::addColumn<void *>("m3Values"); - - QTest::newRow("null") - << (void *)nullValues3 << (void *)nullValues3 << (void *)nullValues3; - - QTest::newRow("identity/null") - << (void *)identityValues3 << (void *)nullValues3 << (void *)identityValues3; - - QTest::newRow("identity/identity") - << (void *)identityValues3 << (void *)identityValues3 << (void *)doubleIdentity3; - - static qreal const sumValues[16] = - {2.0f, 7.0f, 12.0f, - 7.0f, 12.0f, 17.0f, - 12.0f, 17.0f, 22.0f}; - QTest::newRow("unique") - << (void *)uniqueValues3 << (void *)transposedValues3 << (void *)sumValues; -} -void tst_QMatrixNxN::add3x3() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix3x3 m1((const qreal *)m1Values); - QMatrix3x3 m2((const qreal *)m2Values); - - QMatrix3x3 m4(m1); - m4 += m2; - QVERIFY(isSame(m4, (const qreal *)m3Values)); - - QMatrix3x3 m5; - m5 = m1 + m2; - QVERIFY(isSame(m5, (const qreal *)m3Values)); -} - -// Test matrix addition for 4x4 matrices. -void tst_QMatrixNxN::add4x4_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<void *>("m2Values"); - QTest::addColumn<void *>("m3Values"); - - QTest::newRow("null") - << (void *)nullValues4 << (void *)nullValues4 << (void *)nullValues4; - - QTest::newRow("identity/null") - << (void *)identityValues4 << (void *)nullValues4 << (void *)identityValues4; - - QTest::newRow("identity/identity") - << (void *)identityValues4 << (void *)identityValues4 << (void *)doubleIdentity4; - - static qreal const sumValues[16] = - {2.0f, 7.0f, 12.0f, 17.0f, - 7.0f, 12.0f, 17.0f, 22.0f, - 12.0f, 17.0f, 22.0f, 27.0f, - 17.0f, 22.0f, 27.0f, 32.0f}; - QTest::newRow("unique") - << (void *)uniqueValues4 << (void *)transposedValues4 << (void *)sumValues; -} -void tst_QMatrixNxN::add4x4() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix4x4 m1((const qreal *)m1Values); - QMatrix4x4 m2((const qreal *)m2Values); - - QMatrix4x4 m4(m1); - m4 += m2; - QVERIFY(isSame(m4, (const qreal *)m3Values)); - - QMatrix4x4 m5; - m5 = m1 + m2; - QVERIFY(isSame(m5, (const qreal *)m3Values)); -} - -// Test matrix addition for 4x3 matrices. -void tst_QMatrixNxN::add4x3_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<void *>("m2Values"); - QTest::addColumn<void *>("m3Values"); - - QTest::newRow("null") - << (void *)nullValues4x3 << (void *)nullValues4x3 << (void *)nullValues4x3; - - QTest::newRow("identity/null") - << (void *)identityValues4x3 << (void *)nullValues4x3 << (void *)identityValues4x3; - - QTest::newRow("identity/identity") - << (void *)identityValues4x3 << (void *)identityValues4x3 << (void *)doubleIdentity4x3; - - static qreal const sumValues[16] = - {2.0f, 7.0f, 12.0f, 6.0f, - 11.0f, 16.0f, 10.0f, 15.0f, - 20.0f, 14.0f, 19.0f, 24.0f}; - QTest::newRow("unique") - << (void *)uniqueValues4x3 << (void *)transposedValues3x4 << (void *)sumValues; -} -void tst_QMatrixNxN::add4x3() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix4x3 m1((const qreal *)m1Values); - QMatrix4x3 m2((const qreal *)m2Values); - - QMatrix4x3 m4(m1); - m4 += m2; - QVERIFY(isSame(m4, (const qreal *)m3Values)); - - QMatrix4x3 m5; - m5 = m1 + m2; - QVERIFY(isSame(m5, (const qreal *)m3Values)); -} - -// Test matrix subtraction for 2x2 matrices. -void tst_QMatrixNxN::subtract2x2_data() -{ - // Use the same test cases as the add test. - add2x2_data(); -} -void tst_QMatrixNxN::subtract2x2() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix2x2 m1((const qreal *)m1Values); - QMatrix2x2 m2((const qreal *)m2Values); - QMatrix2x2 m3((const qreal *)m3Values); - - QMatrix2x2 m4(m3); - m4 -= m1; - QVERIFY(isSame(m4, (const qreal *)m2Values)); - - QMatrix2x2 m5; - m5 = m3 - m1; - QVERIFY(isSame(m5, (const qreal *)m2Values)); - - QMatrix2x2 m6(m3); - m6 -= m2; - QVERIFY(isSame(m6, (const qreal *)m1Values)); - - QMatrix2x2 m7; - m7 = m3 - m2; - QVERIFY(isSame(m7, (const qreal *)m1Values)); -} - -// Test matrix subtraction for 3x3 matrices. -void tst_QMatrixNxN::subtract3x3_data() -{ - // Use the same test cases as the add test. - add3x3_data(); -} -void tst_QMatrixNxN::subtract3x3() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix3x3 m1((const qreal *)m1Values); - QMatrix3x3 m2((const qreal *)m2Values); - QMatrix3x3 m3((const qreal *)m3Values); - - QMatrix3x3 m4(m3); - m4 -= m1; - QVERIFY(isSame(m4, (const qreal *)m2Values)); - - QMatrix3x3 m5; - m5 = m3 - m1; - QVERIFY(isSame(m5, (const qreal *)m2Values)); - - QMatrix3x3 m6(m3); - m6 -= m2; - QVERIFY(isSame(m6, (const qreal *)m1Values)); - - QMatrix3x3 m7; - m7 = m3 - m2; - QVERIFY(isSame(m7, (const qreal *)m1Values)); -} - -// Test matrix subtraction for 4x4 matrices. -void tst_QMatrixNxN::subtract4x4_data() -{ - // Use the same test cases as the add test. - add4x4_data(); -} -void tst_QMatrixNxN::subtract4x4() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix4x4 m1((const qreal *)m1Values); - QMatrix4x4 m2((const qreal *)m2Values); - QMatrix4x4 m3((const qreal *)m3Values); - - QMatrix4x4 m4(m3); - m4 -= m1; - QVERIFY(isSame(m4, (const qreal *)m2Values)); - - QMatrix4x4 m5; - m5 = m3 - m1; - QVERIFY(isSame(m5, (const qreal *)m2Values)); - - QMatrix4x4 m6(m3); - m6 -= m2; - QVERIFY(isSame(m6, (const qreal *)m1Values)); - - QMatrix4x4 m7; - m7 = m3 - m2; - QVERIFY(isSame(m7, (const qreal *)m1Values)); -} - -// Test matrix subtraction for 4x3 matrices. -void tst_QMatrixNxN::subtract4x3_data() -{ - // Use the same test cases as the add test. - add4x3_data(); -} -void tst_QMatrixNxN::subtract4x3() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix4x3 m1((const qreal *)m1Values); - QMatrix4x3 m2((const qreal *)m2Values); - QMatrix4x3 m3((const qreal *)m3Values); - - QMatrix4x3 m4(m3); - m4 -= m1; - QVERIFY(isSame(m4, (const qreal *)m2Values)); - - QMatrix4x3 m5; - m5 = m3 - m1; - QVERIFY(isSame(m5, (const qreal *)m2Values)); - - QMatrix4x3 m6(m3); - m6 -= m2; - QVERIFY(isSame(m6, (const qreal *)m1Values)); - - QMatrix4x3 m7; - m7 = m3 - m2; - QVERIFY(isSame(m7, (const qreal *)m1Values)); -} - -// Test matrix multiplication for 2x2 matrices. -void tst_QMatrixNxN::multiply2x2_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<void *>("m2Values"); - QTest::addColumn<void *>("m3Values"); - - QTest::newRow("null") - << (void *)nullValues2 << (void *)nullValues2 << (void *)nullValues2; - - QTest::newRow("null/unique") - << (void *)nullValues2 << (void *)uniqueValues2 << (void *)nullValues2; - - QTest::newRow("unique/null") - << (void *)uniqueValues2 << (void *)nullValues2 << (void *)nullValues2; - - QTest::newRow("unique/identity") - << (void *)uniqueValues2 << (void *)identityValues2 << (void *)uniqueValues2; - - QTest::newRow("identity/unique") - << (void *)identityValues2 << (void *)uniqueValues2 << (void *)uniqueValues2; - - static qreal uniqueResult[4]; - for (int row = 0; row < 2; ++row) { - for (int col = 0; col < 2; ++col) { - qreal sum = 0.0f; - for (int j = 0; j < 2; ++j) - sum += uniqueValues2[row * 2 + j] * transposedValues2[j * 2 + col]; - uniqueResult[row * 2 + col] = sum; - } - } - - QTest::newRow("unique/transposed") - << (void *)uniqueValues2 << (void *)transposedValues2 << (void *)uniqueResult; -} -void tst_QMatrixNxN::multiply2x2() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix2x2 m1((const qreal *)m1Values); - QMatrix2x2 m2((const qreal *)m2Values); - - QMatrix2x2 m5; - m5 = m1 * m2; - QVERIFY(isSame(m5, (const qreal *)m3Values)); -} - -// Test matrix multiplication for 3x3 matrices. -void tst_QMatrixNxN::multiply3x3_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<void *>("m2Values"); - QTest::addColumn<void *>("m3Values"); - - QTest::newRow("null") - << (void *)nullValues3 << (void *)nullValues3 << (void *)nullValues3; - - QTest::newRow("null/unique") - << (void *)nullValues3 << (void *)uniqueValues3 << (void *)nullValues3; - - QTest::newRow("unique/null") - << (void *)uniqueValues3 << (void *)nullValues3 << (void *)nullValues3; - - QTest::newRow("unique/identity") - << (void *)uniqueValues3 << (void *)identityValues3 << (void *)uniqueValues3; - - QTest::newRow("identity/unique") - << (void *)identityValues3 << (void *)uniqueValues3 << (void *)uniqueValues3; - - static qreal uniqueResult[9]; - for (int row = 0; row < 3; ++row) { - for (int col = 0; col < 3; ++col) { - qreal sum = 0.0f; - for (int j = 0; j < 3; ++j) - sum += uniqueValues3[row * 3 + j] * transposedValues3[j * 3 + col]; - uniqueResult[row * 3 + col] = sum; - } - } - - QTest::newRow("unique/transposed") - << (void *)uniqueValues3 << (void *)transposedValues3 << (void *)uniqueResult; -} -void tst_QMatrixNxN::multiply3x3() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix3x3 m1((const qreal *)m1Values); - QMatrix3x3 m2((const qreal *)m2Values); - - QMatrix3x3 m5; - m5 = m1 * m2; - QVERIFY(isSame(m5, (const qreal *)m3Values)); -} - -// Test matrix multiplication for 4x4 matrices. -void tst_QMatrixNxN::multiply4x4_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<void *>("m2Values"); - QTest::addColumn<void *>("m3Values"); - - QTest::newRow("null") - << (void *)nullValues4 << (void *)nullValues4 << (void *)nullValues4; - - QTest::newRow("null/unique") - << (void *)nullValues4 << (void *)uniqueValues4 << (void *)nullValues4; - - QTest::newRow("unique/null") - << (void *)uniqueValues4 << (void *)nullValues4 << (void *)nullValues4; - - QTest::newRow("unique/identity") - << (void *)uniqueValues4 << (void *)identityValues4 << (void *)uniqueValues4; - - QTest::newRow("identity/unique") - << (void *)identityValues4 << (void *)uniqueValues4 << (void *)uniqueValues4; - - static qreal uniqueResult[16]; - for (int row = 0; row < 4; ++row) { - for (int col = 0; col < 4; ++col) { - qreal sum = 0.0f; - for (int j = 0; j < 4; ++j) - sum += uniqueValues4[row * 4 + j] * transposedValues4[j * 4 + col]; - uniqueResult[row * 4 + col] = sum; - } - } - - QTest::newRow("unique/transposed") - << (void *)uniqueValues4 << (void *)transposedValues4 << (void *)uniqueResult; -} -void tst_QMatrixNxN::multiply4x4() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix4x4 m1((const qreal *)m1Values); - QMatrix4x4 m2((const qreal *)m2Values); - - QMatrix4x4 m4; - m4 = m1; - m4 *= m2; - QVERIFY(isSame(m4, (const qreal *)m3Values)); - - QMatrix4x4 m5; - m5 = m1 * m2; - QVERIFY(isSame(m5, (const qreal *)m3Values)); -} - -// Test matrix multiplication for 4x3 matrices. -void tst_QMatrixNxN::multiply4x3_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<void *>("m2Values"); - QTest::addColumn<void *>("m3Values"); - - QTest::newRow("null") - << (void *)nullValues4x3 << (void *)nullValues4x3 << (void *)nullValues3; - - QTest::newRow("null/unique") - << (void *)nullValues4x3 << (void *)uniqueValues4x3 << (void *)nullValues3; - - QTest::newRow("unique/null") - << (void *)uniqueValues4x3 << (void *)nullValues4x3 << (void *)nullValues3; - - static qreal uniqueResult[9]; - for (int row = 0; row < 3; ++row) { - for (int col = 0; col < 3; ++col) { - qreal sum = 0.0f; - for (int j = 0; j < 4; ++j) - sum += uniqueValues4x3[row * 4 + j] * transposedValues3x4[j * 3 + col]; - uniqueResult[row * 3 + col] = sum; - } - } - - QTest::newRow("unique/transposed") - << (void *)uniqueValues4x3 << (void *)transposedValues3x4 << (void *)uniqueResult; -} -void tst_QMatrixNxN::multiply4x3() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(void *, m3Values); - - QMatrix4x3 m1((const qreal *)m1Values); - QMatrix3x4 m2((const qreal *)m2Values); - - QGenericMatrix<3, 3, qreal, float> m4; - m4 = m1 * m2; - qreal values[9]; - m4.toValueArray(values); - for (int index = 0; index < 9; ++index) - QCOMPARE(values[index], ((const qreal *)m3Values)[index]); -} - -// Test matrix multiplication by a factor for 2x2 matrices. -void tst_QMatrixNxN::multiplyFactor2x2_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<qreal>("factor"); - QTest::addColumn<void *>("m2Values"); - - QTest::newRow("null") - << (void *)nullValues2 << (qreal)1.0f << (void *)nullValues2; - - QTest::newRow("double identity") - << (void *)identityValues2 << (qreal)2.0f << (void *)doubleIdentity2; - - static qreal const values[16] = - {1.0f, 2.0f, - 5.0f, 6.0f}; - static qreal const doubleValues[16] = - {2.0f, 4.0f, - 10.0f, 12.0f}; - static qreal const negDoubleValues[16] = - {-2.0f, -4.0f, - -10.0f, -12.0f}; - - QTest::newRow("unique") - << (void *)values << (qreal)2.0f << (void *)doubleValues; - - QTest::newRow("neg") - << (void *)values << (qreal)-2.0f << (void *)negDoubleValues; - - QTest::newRow("zero") - << (void *)values << (qreal)0.0f << (void *)nullValues4; -} -void tst_QMatrixNxN::multiplyFactor2x2() -{ - QFETCH(void *, m1Values); - QFETCH(qreal, factor); - QFETCH(void *, m2Values); - - QMatrix2x2 m1((const qreal *)m1Values); - - QMatrix2x2 m3; - m3 = m1; - m3 *= factor; - QVERIFY(isSame(m3, (const qreal *)m2Values)); - - QMatrix2x2 m4; - m4 = m1 * factor; - QVERIFY(isSame(m4, (const qreal *)m2Values)); - - QMatrix2x2 m5; - m5 = factor * m1; - QVERIFY(isSame(m5, (const qreal *)m2Values)); -} - -// Test matrix multiplication by a factor for 3x3 matrices. -void tst_QMatrixNxN::multiplyFactor3x3_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<qreal>("factor"); - QTest::addColumn<void *>("m2Values"); - - QTest::newRow("null") - << (void *)nullValues3 << (qreal)1.0f << (void *)nullValues3; - - QTest::newRow("double identity") - << (void *)identityValues3 << (qreal)2.0f << (void *)doubleIdentity3; - - static qreal const values[16] = - {1.0f, 2.0f, 3.0f, - 5.0f, 6.0f, 7.0f, - 9.0f, 10.0f, 11.0f}; - static qreal const doubleValues[16] = - {2.0f, 4.0f, 6.0f, - 10.0f, 12.0f, 14.0f, - 18.0f, 20.0f, 22.0f}; - static qreal const negDoubleValues[16] = - {-2.0f, -4.0f, -6.0f, - -10.0f, -12.0f, -14.0f, - -18.0f, -20.0f, -22.0f}; - - QTest::newRow("unique") - << (void *)values << (qreal)2.0f << (void *)doubleValues; - - QTest::newRow("neg") - << (void *)values << (qreal)-2.0f << (void *)negDoubleValues; - - QTest::newRow("zero") - << (void *)values << (qreal)0.0f << (void *)nullValues4; -} -void tst_QMatrixNxN::multiplyFactor3x3() -{ - QFETCH(void *, m1Values); - QFETCH(qreal, factor); - QFETCH(void *, m2Values); - - QMatrix3x3 m1((const qreal *)m1Values); - - QMatrix3x3 m3; - m3 = m1; - m3 *= factor; - QVERIFY(isSame(m3, (const qreal *)m2Values)); - - QMatrix3x3 m4; - m4 = m1 * factor; - QVERIFY(isSame(m4, (const qreal *)m2Values)); - - QMatrix3x3 m5; - m5 = factor * m1; - QVERIFY(isSame(m5, (const qreal *)m2Values)); -} - -// Test matrix multiplication by a factor for 4x4 matrices. -void tst_QMatrixNxN::multiplyFactor4x4_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<qreal>("factor"); - QTest::addColumn<void *>("m2Values"); - - QTest::newRow("null") - << (void *)nullValues4 << (qreal)1.0f << (void *)nullValues4; - - QTest::newRow("double identity") - << (void *)identityValues4 << (qreal)2.0f << (void *)doubleIdentity4; - - static qreal const values[16] = - {1.0f, 2.0f, 3.0f, 4.0f, - 5.0f, 6.0f, 7.0f, 8.0f, - 9.0f, 10.0f, 11.0f, 12.0f, - 13.0f, 14.0f, 15.0f, 16.0f}; - static qreal const doubleValues[16] = - {2.0f, 4.0f, 6.0f, 8.0f, - 10.0f, 12.0f, 14.0f, 16.0f, - 18.0f, 20.0f, 22.0f, 24.0f, - 26.0f, 28.0f, 30.0f, 32.0f}; - static qreal const negDoubleValues[16] = - {-2.0f, -4.0f, -6.0f, -8.0f, - -10.0f, -12.0f, -14.0f, -16.0f, - -18.0f, -20.0f, -22.0f, -24.0f, - -26.0f, -28.0f, -30.0f, -32.0f}; - - QTest::newRow("unique") - << (void *)values << (qreal)2.0f << (void *)doubleValues; - - QTest::newRow("neg") - << (void *)values << (qreal)-2.0f << (void *)negDoubleValues; - - QTest::newRow("zero") - << (void *)values << (qreal)0.0f << (void *)nullValues4; -} -void tst_QMatrixNxN::multiplyFactor4x4() -{ - QFETCH(void *, m1Values); - QFETCH(qreal, factor); - QFETCH(void *, m2Values); - - QMatrix4x4 m1((const qreal *)m1Values); - - QMatrix4x4 m3; - m3 = m1; - m3 *= factor; - QVERIFY(isSame(m3, (const qreal *)m2Values)); - - QMatrix4x4 m4; - m4 = m1 * factor; - QVERIFY(isSame(m4, (const qreal *)m2Values)); - - QMatrix4x4 m5; - m5 = factor * m1; - QVERIFY(isSame(m5, (const qreal *)m2Values)); -} - -// Test matrix multiplication by a factor for 4x3 matrices. -void tst_QMatrixNxN::multiplyFactor4x3_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<qreal>("factor"); - QTest::addColumn<void *>("m2Values"); - - QTest::newRow("null") - << (void *)nullValues4x3 << (qreal)1.0f << (void *)nullValues4x3; - - QTest::newRow("double identity") - << (void *)identityValues4x3 << (qreal)2.0f << (void *)doubleIdentity4x3; - - static qreal const values[12] = - {1.0f, 2.0f, 3.0f, 4.0f, - 5.0f, 6.0f, 7.0f, 8.0f, - 9.0f, 10.0f, 11.0f, 12.0f}; - static qreal const doubleValues[12] = - {2.0f, 4.0f, 6.0f, 8.0f, - 10.0f, 12.0f, 14.0f, 16.0f, - 18.0f, 20.0f, 22.0f, 24.0f}; - static qreal const negDoubleValues[12] = - {-2.0f, -4.0f, -6.0f, -8.0f, - -10.0f, -12.0f, -14.0f, -16.0f, - -18.0f, -20.0f, -22.0f, -24.0f}; - - QTest::newRow("unique") - << (void *)values << (qreal)2.0f << (void *)doubleValues; - - QTest::newRow("neg") - << (void *)values << (qreal)-2.0f << (void *)negDoubleValues; - - QTest::newRow("zero") - << (void *)values << (qreal)0.0f << (void *)nullValues4x3; -} -void tst_QMatrixNxN::multiplyFactor4x3() -{ - QFETCH(void *, m1Values); - QFETCH(qreal, factor); - QFETCH(void *, m2Values); - - QMatrix4x3 m1((const qreal *)m1Values); - - QMatrix4x3 m3; - m3 = m1; - m3 *= factor; - QVERIFY(isSame(m3, (const qreal *)m2Values)); - - QMatrix4x3 m4; - m4 = m1 * factor; - QVERIFY(isSame(m4, (const qreal *)m2Values)); - - QMatrix4x3 m5; - m5 = factor * m1; - QVERIFY(isSame(m5, (const qreal *)m2Values)); -} - -// Test matrix division by a factor for 2x2 matrices. -void tst_QMatrixNxN::divideFactor2x2_data() -{ - // Use the same test cases as the multiplyFactor test. - multiplyFactor2x2_data(); -} -void tst_QMatrixNxN::divideFactor2x2() -{ - QFETCH(void *, m1Values); - QFETCH(qreal, factor); - QFETCH(void *, m2Values); - - if (factor == 0.0f) - return; - - QMatrix2x2 m2((const qreal *)m2Values); - - QMatrix2x2 m3; - m3 = m2; - m3 /= factor; - QVERIFY(isSame(m3, (const qreal *)m1Values)); - - QMatrix2x2 m4; - m4 = m2 / factor; - QVERIFY(isSame(m4, (const qreal *)m1Values)); -} - -// Test matrix division by a factor for 3x3 matrices. -void tst_QMatrixNxN::divideFactor3x3_data() -{ - // Use the same test cases as the multiplyFactor test. - multiplyFactor3x3_data(); -} -void tst_QMatrixNxN::divideFactor3x3() -{ - QFETCH(void *, m1Values); - QFETCH(qreal, factor); - QFETCH(void *, m2Values); - - if (factor == 0.0f) - return; - - QMatrix3x3 m2((const qreal *)m2Values); - - QMatrix3x3 m3; - m3 = m2; - m3 /= factor; - QVERIFY(isSame(m3, (const qreal *)m1Values)); - - QMatrix3x3 m4; - m4 = m2 / factor; - QVERIFY(isSame(m4, (const qreal *)m1Values)); -} - -// Test matrix division by a factor for 4x4 matrices. -void tst_QMatrixNxN::divideFactor4x4_data() -{ - // Use the same test cases as the multiplyFactor test. - multiplyFactor4x4_data(); -} -void tst_QMatrixNxN::divideFactor4x4() -{ - QFETCH(void *, m1Values); - QFETCH(qreal, factor); - QFETCH(void *, m2Values); - - if (factor == 0.0f) - return; - - QMatrix4x4 m2((const qreal *)m2Values); - - QMatrix4x4 m3; - m3 = m2; - m3 /= factor; - QVERIFY(isSame(m3, (const qreal *)m1Values)); - - QMatrix4x4 m4; - m4 = m2 / factor; - QVERIFY(isSame(m4, (const qreal *)m1Values)); -} - -// Test matrix division by a factor for 4x3 matrices. -void tst_QMatrixNxN::divideFactor4x3_data() -{ - // Use the same test cases as the multiplyFactor test. - multiplyFactor4x3_data(); -} -void tst_QMatrixNxN::divideFactor4x3() -{ - QFETCH(void *, m1Values); - QFETCH(qreal, factor); - QFETCH(void *, m2Values); - - if (factor == 0.0f) - return; - - QMatrix4x3 m2((const qreal *)m2Values); - - QMatrix4x3 m3; - m3 = m2; - m3 /= factor; - QVERIFY(isSame(m3, (const qreal *)m1Values)); - - QMatrix4x3 m4; - m4 = m2 / factor; - QVERIFY(isSame(m4, (const qreal *)m1Values)); -} - -// Test matrix negation for 2x2 matrices. -void tst_QMatrixNxN::negate2x2_data() -{ - // Use the same test cases as the multiplyFactor test. - multiplyFactor2x2_data(); -} -void tst_QMatrixNxN::negate2x2() -{ - QFETCH(void *, m1Values); - - const qreal *values = (const qreal *)m1Values; - - QMatrix2x2 m1(values); - - qreal negated[4]; - for (int index = 0; index < 4; ++index) - negated[index] = -values[index]; - - QMatrix2x2 m2; - m2 = -m1; - QVERIFY(isSame(m2, negated)); -} - -// Test matrix negation for 3x3 matrices. -void tst_QMatrixNxN::negate3x3_data() -{ - // Use the same test cases as the multiplyFactor test. - multiplyFactor3x3_data(); -} -void tst_QMatrixNxN::negate3x3() -{ - QFETCH(void *, m1Values); - - const qreal *values = (const qreal *)m1Values; - - QMatrix3x3 m1(values); - - qreal negated[9]; - for (int index = 0; index < 9; ++index) - negated[index] = -values[index]; - - QMatrix3x3 m2; - m2 = -m1; - QVERIFY(isSame(m2, negated)); -} - -// Test matrix negation for 4x4 matrices. -void tst_QMatrixNxN::negate4x4_data() -{ - // Use the same test cases as the multiplyFactor test. - multiplyFactor4x4_data(); -} -void tst_QMatrixNxN::negate4x4() -{ - QFETCH(void *, m1Values); - - const qreal *values = (const qreal *)m1Values; - - QMatrix4x4 m1(values); - - qreal negated[16]; - for (int index = 0; index < 16; ++index) - negated[index] = -values[index]; - - QMatrix4x4 m2; - m2 = -m1; - QVERIFY(isSame(m2, negated)); -} - -// Test matrix negation for 4x3 matrices. -void tst_QMatrixNxN::negate4x3_data() -{ - // Use the same test cases as the multiplyFactor test. - multiplyFactor4x3_data(); -} -void tst_QMatrixNxN::negate4x3() -{ - QFETCH(void *, m1Values); - - const qreal *values = (const qreal *)m1Values; - - QMatrix4x3 m1(values); - - qreal negated[12]; - for (int index = 0; index < 12; ++index) - negated[index] = -values[index]; - - QMatrix4x3 m2; - m2 = -m1; - QVERIFY(isSame(m2, negated)); -} - -// Matrix inverted. This is a more straight-forward implementation -// of the algorithm at http://www.j3d.org/matrix_faq/matrfaq_latest.html#Q24 -// than the optimized version in the QMatrix4x4 code. Hopefully it is -// easier to verify that this version is the same as the reference. - -struct Matrix3 -{ - qreal v[9]; -}; -struct Matrix4 -{ - qreal v[16]; -}; - -static qreal m3Determinant(const Matrix3& m) -{ - return m.v[0] * (m.v[4] * m.v[8] - m.v[7] * m.v[5]) - - m.v[1] * (m.v[3] * m.v[8] - m.v[6] * m.v[5]) + - m.v[2] * (m.v[3] * m.v[7] - m.v[6] * m.v[4]); -} - -static bool m3Inverse(const Matrix3& min, Matrix3& mout) -{ - qreal det = m3Determinant(min); - if (det == 0.0f) - return false; - mout.v[0] = (min.v[4] * min.v[8] - min.v[5] * min.v[7]) / det; - mout.v[1] = -(min.v[1] * min.v[8] - min.v[2] * min.v[7]) / det; - mout.v[2] = (min.v[1] * min.v[5] - min.v[4] * min.v[2]) / det; - mout.v[3] = -(min.v[3] * min.v[8] - min.v[5] * min.v[6]) / det; - mout.v[4] = (min.v[0] * min.v[8] - min.v[6] * min.v[2]) / det; - mout.v[5] = -(min.v[0] * min.v[5] - min.v[3] * min.v[2]) / det; - mout.v[6] = (min.v[3] * min.v[7] - min.v[6] * min.v[4]) / det; - mout.v[7] = -(min.v[0] * min.v[7] - min.v[6] * min.v[1]) / det; - mout.v[8] = (min.v[0] * min.v[4] - min.v[1] * min.v[3]) / det; - return true; -} - -static void m3Transpose(Matrix3& m) -{ - qSwap(m.v[1], m.v[3]); - qSwap(m.v[2], m.v[6]); - qSwap(m.v[5], m.v[7]); -} - -static void m4Submatrix(const Matrix4& min, Matrix3& mout, int i, int j) -{ - for (int di = 0; di < 3; ++di) { - for (int dj = 0; dj < 3; ++dj) { - int si = di + ((di >= i) ? 1 : 0); - int sj = dj + ((dj >= j) ? 1 : 0); - mout.v[di * 3 + dj] = min.v[si * 4 + sj]; - } - } -} - -static qreal m4Determinant(const Matrix4& m) -{ - qreal det; - qreal result = 0.0f; - qreal i = 1.0f; - Matrix3 msub; - for (int n = 0; n < 4; ++n, i *= -1.0f) { - m4Submatrix(m, msub, 0, n); - det = m3Determinant(msub); - result += m.v[n] * det * i; - } - return result; -} - -static void m4Inverse(const Matrix4& min, Matrix4& mout) -{ - qreal det = m4Determinant(min); - Matrix3 msub; - for (int i = 0; i < 4; ++i) { - for (int j = 0; j < 4; ++j) { - qreal sign = 1.0f - ((i + j) % 2) * 2.0f; - m4Submatrix(min, msub, i, j); - mout.v[i + j * 4] = (m3Determinant(msub) * sign) / det; - } - } -} - -// Test matrix inverted for 4x4 matrices. -void tst_QMatrixNxN::inverted4x4_data() -{ - QTest::addColumn<void *>("m1Values"); - QTest::addColumn<void *>("m2Values"); - QTest::addColumn<bool>("invertible"); - - QTest::newRow("null") - << (void *)nullValues4 << (void *)identityValues4 << false; - - QTest::newRow("identity") - << (void *)identityValues4 << (void *)identityValues4 << true; - - QTest::newRow("unique") - << (void *)uniqueValues4 << (void *)identityValues4 << false; - - static Matrix4 const invertible = { - {5.0f, 0.0f, 0.0f, 2.0f, - 0.0f, 6.0f, 0.0f, 3.0f, - 0.0f, 0.0f, 7.0f, 4.0f, - 0.0f, 0.0f, 0.0f, 1.0f} - }; - static Matrix4 inverted; - m4Inverse(invertible, inverted); - - QTest::newRow("invertible") - << (void *)invertible.v << (void *)inverted.v << true; - - static Matrix4 const translate = { - {1.0f, 0.0f, 0.0f, 2.0f, - 0.0f, 1.0f, 0.0f, 3.0f, - 0.0f, 0.0f, 1.0f, 4.0f, - 0.0f, 0.0f, 0.0f, 1.0f} - }; - static Matrix4 const inverseTranslate = { - {1.0f, 0.0f, 0.0f, -2.0f, - 0.0f, 1.0f, 0.0f, -3.0f, - 0.0f, 0.0f, 1.0f, -4.0f, - 0.0f, 0.0f, 0.0f, 1.0f} - }; - - QTest::newRow("translate") - << (void *)translate.v << (void *)inverseTranslate.v << true; -} -void tst_QMatrixNxN::inverted4x4() -{ - QFETCH(void *, m1Values); - QFETCH(void *, m2Values); - QFETCH(bool, invertible); - - QMatrix4x4 m1((const qreal *)m1Values); - - if (invertible) - QVERIFY(m1.determinant() != 0.0f); - else - QVERIFY(m1.determinant() == 0.0f); - - Matrix4 m1alt; - memcpy(m1alt.v, (const qreal *)m1Values, sizeof(m1alt.v)); - - QCOMPARE((float)(m1.determinant()), (float)(m4Determinant(m1alt))); - - QMatrix4x4 m2; - bool inv; - m2 = m1.inverted(&inv); - QVERIFY(isSame(m2, (const qreal *)m2Values)); - - if (invertible) { - QVERIFY(inv); - - Matrix4 m2alt; - m4Inverse(m1alt, m2alt); - QVERIFY(isSame(m2, m2alt.v)); - - QMatrix4x4 m3; - m3 = m1 * m2; - QVERIFY(isIdentity(m3)); - - QMatrix4x4 m4; - m4 = m2 * m1; - QVERIFY(isIdentity(m4)); - } else { - QVERIFY(!inv); - } - - // Test again, after inferring the special matrix type. - m1.inferSpecialType(); - m2 = m1.inverted(&inv); - QVERIFY(isSame(m2, (const qreal *)m2Values)); - QCOMPARE(inv, invertible); -} - -void tst_QMatrixNxN::orthonormalInverse4x4() -{ - QMatrix4x4 m1; - QVERIFY(matrixFuzzyCompare(m1.inverted(), m1)); - - QMatrix4x4 m2; - m2.rotate(45.0, 1.0, 0.0, 0.0); - m2.translate(10.0, 0.0, 0.0); - - // Use inferSpecialType() to drop the internal flags that - // mark the matrix as orthonormal. This will force inverted() - // to compute m3.inverted() the long way. We can then compare - // the result to what the faster algorithm produces on m2. - QMatrix4x4 m3 = m2; - m3.inferSpecialType(); - bool invertible; - QVERIFY(matrixFuzzyCompare(m2.inverted(&invertible), m3.inverted())); - QVERIFY(invertible); - - QMatrix4x4 m4; - m4.rotate(45.0, 0.0, 1.0, 0.0); - QMatrix4x4 m5 = m4; - m5.inferSpecialType(); - QVERIFY(matrixFuzzyCompare(m4.inverted(), m5.inverted())); - - QMatrix4x4 m6; - m1.rotate(88, 0.0, 0.0, 1.0); - m1.translate(-20.0, 20.0, 15.0); - m1.rotate(25, 1.0, 0.0, 0.0); - QMatrix4x4 m7 = m6; - m7.inferSpecialType(); - QVERIFY(matrixFuzzyCompare(m6.inverted(), m7.inverted())); -} - -// Test the generation and use of 4x4 scale matrices. -void tst_QMatrixNxN::scale4x4_data() -{ - QTest::addColumn<qreal>("x"); - QTest::addColumn<qreal>("y"); - QTest::addColumn<qreal>("z"); - QTest::addColumn<void *>("resultValues"); - - static const qreal nullScale[] = - {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, 1.0f}; - QTest::newRow("null") - << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (void *)nullScale; - - QTest::newRow("identity") - << (qreal)1.0f << (qreal)1.0f << (qreal)1.0f << (void *)identityValues4; - - static const qreal doubleScale[] = - {2.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 2.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 2.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("double") - << (qreal)2.0f << (qreal)2.0f << (qreal)2.0f << (void *)doubleScale; - - static const qreal complexScale[] = - {2.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 11.0f, 0.0f, 0.0f, - 0.0f, 0.0f, -6.5f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("complex") - << (qreal)2.0f << (qreal)11.0f << (qreal)-6.5f << (void *)complexScale; - - static const qreal complexScale2D[] = - {2.0f, 0.0f, 0.0f, 0.0f, - 0.0f, -11.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 1.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("complex2D") - << (qreal)2.0f << (qreal)-11.0f << (qreal)1.0f << (void *)complexScale2D; -} -void tst_QMatrixNxN::scale4x4() -{ - QFETCH(qreal, x); - QFETCH(qreal, y); - QFETCH(qreal, z); - QFETCH(void *, resultValues); - - QMatrix4x4 result((const qreal *)resultValues); - - QMatrix4x4 m1; - m1.scale(QVector3D(x, y, z)); - QVERIFY(isSame(m1, (const qreal *)resultValues)); - - QMatrix4x4 m2; - m2.scale(x, y, z); - QVERIFY(isSame(m2, (const qreal *)resultValues)); - - if (z == 1.0f) { - QMatrix4x4 m2b; - m2b.scale(x, y); - QVERIFY(m2b == m2); - } - - QVector3D v1(2.0f, 3.0f, -4.0f); - QVector3D v2 = m1 * v1; - QCOMPARE(v2.x(), (qreal)(2.0f * x)); - QCOMPARE(v2.y(), (qreal)(3.0f * y)); - QCOMPARE(v2.z(), (qreal)(-4.0f * z)); - - v2 = v1 * m1; - QCOMPARE(v2.x(), (qreal)(2.0f * x)); - QCOMPARE(v2.y(), (qreal)(3.0f * y)); - QCOMPARE(v2.z(), (qreal)(-4.0f * z)); - - QVector4D v3(2.0f, 3.0f, -4.0f, 34.0f); - QVector4D v4 = m1 * v3; - QCOMPARE(v4.x(), (qreal)(2.0f * x)); - QCOMPARE(v4.y(), (qreal)(3.0f * y)); - QCOMPARE(v4.z(), (qreal)(-4.0f * z)); - QCOMPARE(v4.w(), (qreal)34.0f); - - v4 = v3 * m1; - QCOMPARE(v4.x(), (qreal)(2.0f * x)); - QCOMPARE(v4.y(), (qreal)(3.0f * y)); - QCOMPARE(v4.z(), (qreal)(-4.0f * z)); - QCOMPARE(v4.w(), (qreal)34.0f); - - QPoint p1(2, 3); - QPoint p2 = m1 * p1; - QCOMPARE(p2.x(), (int)(2.0f * x)); - QCOMPARE(p2.y(), (int)(3.0f * y)); - - p2 = p1 * m1; - QCOMPARE(p2.x(), (int)(2.0f * x)); - QCOMPARE(p2.y(), (int)(3.0f * y)); - - QPointF p3(2.0f, 3.0f); - QPointF p4 = m1 * p3; - QCOMPARE(p4.x(), (qreal)(2.0f * x)); - QCOMPARE(p4.y(), (qreal)(3.0f * y)); - - p4 = p3 * m1; - QCOMPARE(p4.x(), (qreal)(2.0f * x)); - QCOMPARE(p4.y(), (qreal)(3.0f * y)); - - QMatrix4x4 m3(uniqueValues4); - QMatrix4x4 m4(m3); - m4.scale(x, y, z); - QVERIFY(m4 == m3 * m1); - - if (x == y && y == z) { - QMatrix4x4 m5; - m5.scale(x); - QVERIFY(isSame(m5, (const qreal *)resultValues)); - } - - if (z == 1.0f) { - QMatrix4x4 m4b(m3); - m4b.scale(x, y); - QVERIFY(m4b == m4); - } - - // Test coverage when the special matrix type is unknown. - - QMatrix4x4 m6; - m6(0, 0) = 1.0f; - m6.scale(QVector3D(x, y, z)); - QVERIFY(isSame(m6, (const qreal *)resultValues)); - - QMatrix4x4 m7; - m7(0, 0) = 1.0f; - m7.scale(x, y, z); - QVERIFY(isSame(m7, (const qreal *)resultValues)); - - if (x == y && y == z) { - QMatrix4x4 m8; - m8(0, 0) = 1.0f; - m8.scale(x); - QVERIFY(isSame(m8, (const qreal *)resultValues)); - - m8.inferSpecialType(); - m8.scale(1.0f); - QVERIFY(isSame(m8, (const qreal *)resultValues)); - - QMatrix4x4 m9; - m9.translate(0.0f, 0.0f, 0.0f); - m9.scale(x); - QVERIFY(isSame(m9, (const qreal *)resultValues)); - } -} - -// Test the generation and use of 4x4 translation matrices. -void tst_QMatrixNxN::translate4x4_data() -{ - QTest::addColumn<qreal>("x"); - QTest::addColumn<qreal>("y"); - QTest::addColumn<qreal>("z"); - QTest::addColumn<void *>("resultValues"); - - QTest::newRow("null") - << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (void *)identityValues4; - - static const qreal identityTranslate[] = - {1.0f, 0.0f, 0.0f, 1.0f, - 0.0f, 1.0f, 0.0f, 1.0f, - 0.0f, 0.0f, 1.0f, 1.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("identity") - << (qreal)1.0f << (qreal)1.0f << (qreal)1.0f << (void *)identityTranslate; - - static const qreal complexTranslate[] = - {1.0f, 0.0f, 0.0f, 2.0f, - 0.0f, 1.0f, 0.0f, 11.0f, - 0.0f, 0.0f, 1.0f, -6.5f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("complex") - << (qreal)2.0f << (qreal)11.0f << (qreal)-6.5f << (void *)complexTranslate; - - static const qreal complexTranslate2D[] = - {1.0f, 0.0f, 0.0f, 2.0f, - 0.0f, 1.0f, 0.0f, -11.0f, - 0.0f, 0.0f, 1.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("complex2D") - << (qreal)2.0f << (qreal)-11.0f << (qreal)0.0f << (void *)complexTranslate2D; -} -void tst_QMatrixNxN::translate4x4() -{ - QFETCH(qreal, x); - QFETCH(qreal, y); - QFETCH(qreal, z); - QFETCH(void *, resultValues); - - QMatrix4x4 result((const qreal *)resultValues); - - QMatrix4x4 m1; - m1.translate(QVector3D(x, y, z)); - QVERIFY(isSame(m1, (const qreal *)resultValues)); - - QMatrix4x4 m2; - m2.translate(x, y, z); - QVERIFY(isSame(m2, (const qreal *)resultValues)); - - if (z == 0.0f) { - QMatrix4x4 m2b; - m2b.translate(x, y); - QVERIFY(m2b == m2); - } - - QVector3D v1(2.0f, 3.0f, -4.0f); - QVector3D v2 = m1 * v1; - QCOMPARE(v2.x(), (qreal)(2.0f + x)); - QCOMPARE(v2.y(), (qreal)(3.0f + y)); - QCOMPARE(v2.z(), (qreal)(-4.0f + z)); - - QVector4D v3(2.0f, 3.0f, -4.0f, 1.0f); - QVector4D v4 = m1 * v3; - QCOMPARE(v4.x(), (qreal)(2.0f + x)); - QCOMPARE(v4.y(), (qreal)(3.0f + y)); - QCOMPARE(v4.z(), (qreal)(-4.0f + z)); - QCOMPARE(v4.w(), (qreal)1.0f); - - QVector4D v5(2.0f, 3.0f, -4.0f, 34.0f); - QVector4D v6 = m1 * v5; - QCOMPARE(v6.x(), (qreal)(2.0f + x * 34.0f)); - QCOMPARE(v6.y(), (qreal)(3.0f + y * 34.0f)); - QCOMPARE(v6.z(), (qreal)(-4.0f + z * 34.0f)); - QCOMPARE(v6.w(), (qreal)34.0f); - - QPoint p1(2, 3); - QPoint p2 = m1 * p1; - QCOMPARE(p2.x(), (int)(2.0f + x)); - QCOMPARE(p2.y(), (int)(3.0f + y)); - - QPointF p3(2.0f, 3.0f); - QPointF p4 = m1 * p3; - QCOMPARE(p4.x(), (qreal)(2.0f + x)); - QCOMPARE(p4.y(), (qreal)(3.0f + y)); - - QMatrix4x4 m3(uniqueValues4); - QMatrix4x4 m4(m3); - m4.translate(x, y, z); - QVERIFY(m4 == m3 * m1); - - if (z == 0.0f) { - QMatrix4x4 m4b(m3); - m4b.translate(x, y); - QVERIFY(m4b == m4); - } -} - -// Test the generation and use of 4x4 rotation matrices. -void tst_QMatrixNxN::rotate4x4_data() -{ - QTest::addColumn<qreal>("angle"); - QTest::addColumn<qreal>("x"); - QTest::addColumn<qreal>("y"); - QTest::addColumn<qreal>("z"); - QTest::addColumn<void *>("resultValues"); - - static const qreal nullRotate[] = - {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, 1.0f}; - QTest::newRow("null") - << (qreal)90.0f - << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f - << (void *)nullRotate; - - static const qreal noRotate[] = - {1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 1.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 1.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("zerodegrees") - << (qreal)0.0f - << (qreal)2.0f << (qreal)3.0f << (qreal)-4.0f - << (void *)noRotate; - - static const qreal xRotate[] = - {1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 0.0f, -1.0f, 0.0f, - 0.0f, 1.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("xrotate") - << (qreal)90.0f - << (qreal)1.0f << (qreal)0.0f << (qreal)0.0f - << (void *)xRotate; - - static const qreal xRotateNeg[] = - {1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 1.0f, 0.0f, - 0.0f, -1.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("-xrotate") - << (qreal)90.0f - << (qreal)-1.0f << (qreal)0.0f << (qreal)0.0f - << (void *)xRotateNeg; - - static const qreal yRotate[] = - {0.0f, 0.0f, 1.0f, 0.0f, - 0.0f, 1.0f, 0.0f, 0.0f, - -1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("yrotate") - << (qreal)90.0f - << (qreal)0.0f << (qreal)1.0f << (qreal)0.0f - << (void *)yRotate; - - static const qreal yRotateNeg[] = - {0.0f, 0.0f, -1.0f, 0.0f, - 0.0f, 1.0f, 0.0f, 0.0f, - 1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("-yrotate") - << (qreal)90.0f - << (qreal)0.0f << (qreal)-1.0f << (qreal)0.0f - << (void *)yRotateNeg; - - static const qreal zRotate[] = - {0.0f, -1.0f, 0.0f, 0.0f, - 1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 1.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("zrotate") - << (qreal)90.0f - << (qreal)0.0f << (qreal)0.0f << (qreal)1.0f - << (void *)zRotate; - - static const qreal zRotateNeg[] = - {0.0f, 1.0f, 0.0f, 0.0f, - -1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 1.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - QTest::newRow("-zrotate") - << (qreal)90.0f - << (qreal)0.0f << (qreal)0.0f << (qreal)-1.0f - << (void *)zRotateNeg; - - // Algorithm from http://en.wikipedia.org/wiki/Rotation_matrix. - // Deliberately different from the one in the code for cross-checking. - static qreal complexRotate[16]; - qreal x = 1.0f; - qreal y = 2.0f; - qreal z = -6.0f; - qreal angle = -45.0f; - qreal c = qCos(angle * M_PI / 180.0f); - qreal s = qSin(angle * M_PI / 180.0f); - qreal len = qSqrt(x * x + y * y + z * z); - qreal xu = x / len; - qreal yu = y / len; - qreal zu = z / len; - complexRotate[0] = (qreal)((1 - xu * xu) * c + xu * xu); - complexRotate[1] = (qreal)(-zu * s - xu * yu * c + xu * yu); - complexRotate[2] = (qreal)(yu * s - xu * zu * c + xu * zu); - complexRotate[3] = 0; - complexRotate[4] = (qreal)(zu * s - xu * yu * c + xu * yu); - complexRotate[5] = (qreal)((1 - yu * yu) * c + yu * yu); - complexRotate[6] = (qreal)(-xu * s - yu * zu * c + yu * zu); - complexRotate[7] = 0; - complexRotate[8] = (qreal)(-yu * s - xu * zu * c + xu * zu); - complexRotate[9] = (qreal)(xu * s - yu * zu * c + yu * zu); - complexRotate[10] = (qreal)((1 - zu * zu) * c + zu * zu); - complexRotate[11] = 0; - complexRotate[12] = 0; - complexRotate[13] = 0; - complexRotate[14] = 0; - complexRotate[15] = 1; - - QTest::newRow("complex") - << (qreal)angle - << (qreal)x << (qreal)y << (qreal)z - << (void *)complexRotate; -} -void tst_QMatrixNxN::rotate4x4() -{ - QFETCH(qreal, angle); - QFETCH(qreal, x); - QFETCH(qreal, y); - QFETCH(qreal, z); - QFETCH(void *, resultValues); - - QMatrix4x4 m1; - m1.rotate(angle, QVector3D(x, y, z)); - QVERIFY(isSame(m1, (const qreal *)resultValues)); - - QMatrix4x4 m2; - m2.rotate(angle, x, y, z); - QVERIFY(isSame(m2, (const qreal *)resultValues)); - - QMatrix4x4 m3(uniqueValues4); - QMatrix4x4 m4(m3); - m4.rotate(angle, x, y, z); - QVERIFY(matrixFuzzyCompare(m4, m3 * m1)); - - // Null vectors don't make sense for quaternion rotations. - if (x != 0 || y != 0 || z != 0) { - QMatrix4x4 m5; - m5.rotate(QQuaternion::fromAxisAndAngle(QVector3D(x, y, z), angle)); - QVERIFY(isSame(m5, (const qreal *)resultValues)); - } - -#define ROTATE4(xin,yin,zin,win,xout,yout,zout,wout) \ - do { \ - xout = ((const qreal *)resultValues)[0] * xin + \ - ((const qreal *)resultValues)[1] * yin + \ - ((const qreal *)resultValues)[2] * zin + \ - ((const qreal *)resultValues)[3] * win; \ - yout = ((const qreal *)resultValues)[4] * xin + \ - ((const qreal *)resultValues)[5] * yin + \ - ((const qreal *)resultValues)[6] * zin + \ - ((const qreal *)resultValues)[7] * win; \ - zout = ((const qreal *)resultValues)[8] * xin + \ - ((const qreal *)resultValues)[9] * yin + \ - ((const qreal *)resultValues)[10] * zin + \ - ((const qreal *)resultValues)[11] * win; \ - wout = ((const qreal *)resultValues)[12] * xin + \ - ((const qreal *)resultValues)[13] * yin + \ - ((const qreal *)resultValues)[14] * zin + \ - ((const qreal *)resultValues)[15] * win; \ - } while (0) - - // Rotate various test vectors using the straight-forward approach. - qreal v1x, v1y, v1z, v1w; - ROTATE4(2.0f, 3.0f, -4.0f, 1.0f, v1x, v1y, v1z, v1w); - v1x /= v1w; - v1y /= v1w; - v1z /= v1w; - qreal v3x, v3y, v3z, v3w; - ROTATE4(2.0f, 3.0f, -4.0f, 1.0f, v3x, v3y, v3z, v3w); - qreal v5x, v5y, v5z, v5w; - ROTATE4(2.0f, 3.0f, -4.0f, 34.0f, v5x, v5y, v5z, v5w); - qreal p1x, p1y, p1z, p1w; - ROTATE4(2.0f, 3.0f, 0.0f, 1.0f, p1x, p1y, p1z, p1w); - p1x /= p1w; - p1y /= p1w; - p1z /= p1w; - - QVector3D v1(2.0f, 3.0f, -4.0f); - QVector3D v2 = m1 * v1; - QVERIFY(fuzzyCompare(v2.x(), v1x)); - QVERIFY(fuzzyCompare(v2.y(), v1y)); - QVERIFY(fuzzyCompare(v2.z(), v1z)); - - QVector4D v3(2.0f, 3.0f, -4.0f, 1.0f); - QVector4D v4 = m1 * v3; - QVERIFY(fuzzyCompare(v4.x(), v3x)); - QVERIFY(fuzzyCompare(v4.y(), v3y)); - QVERIFY(fuzzyCompare(v4.z(), v3z)); - QVERIFY(fuzzyCompare(v4.w(), v3w)); - - QVector4D v5(2.0f, 3.0f, -4.0f, 34.0f); - QVector4D v6 = m1 * v5; - QVERIFY(fuzzyCompare(v6.x(), v5x)); - QVERIFY(fuzzyCompare(v6.y(), v5y)); - QVERIFY(fuzzyCompare(v6.z(), v5z)); - QVERIFY(fuzzyCompare(v6.w(), v5w)); - - QPoint p1(2, 3); - QPoint p2 = m1 * p1; - QCOMPARE(p2.x(), qRound(p1x)); - QCOMPARE(p2.y(), qRound(p1y)); - - QPointF p3(2.0f, 3.0f); - QPointF p4 = m1 * p3; - QVERIFY(fuzzyCompare((float)(p4.x()), p1x)); - QVERIFY(fuzzyCompare((float)(p4.y()), p1y)); - - if (x != 0 || y != 0 || z != 0) { - QQuaternion q = QQuaternion::fromAxisAndAngle(QVector3D(x, y, z), angle); - QVector3D vq = q.rotateVector(v1); - QVERIFY(fuzzyCompare(vq.x(), v1x)); - QVERIFY(fuzzyCompare(vq.y(), v1y)); - QVERIFY(fuzzyCompare(vq.z(), v1z)); - } -} - -static bool isSame(const QMatrix3x3& m1, const Matrix3& m2) -{ - for (int row = 0; row < 3; ++row) { - for (int col = 0; col < 3; ++col) { - if (!fuzzyCompare(m1(row, col), m2.v[row * 3 + col])) - return false; - } - } - return true; -} - -// Test the computation of normal matrices from 4x4 transformation matrices. -void tst_QMatrixNxN::normalMatrix_data() -{ - QTest::addColumn<void *>("mValues"); - - QTest::newRow("identity") - << (void *)identityValues4; - QTest::newRow("unique") - << (void *)uniqueValues4; // Not invertible because determinant == 0. - - static qreal const translateValues[16] = - {1.0f, 0.0f, 0.0f, 4.0f, - 0.0f, 1.0f, 0.0f, 5.0f, - 0.0f, 0.0f, 1.0f, -3.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const scaleValues[16] = - {2.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 7.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 9.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const bothValues[16] = - {2.0f, 0.0f, 0.0f, 4.0f, - 0.0f, 7.0f, 0.0f, 5.0f, - 0.0f, 0.0f, 9.0f, -3.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const nullScaleValues1[16] = - {0.0f, 0.0f, 0.0f, 4.0f, - 0.0f, 7.0f, 0.0f, 5.0f, - 0.0f, 0.0f, 9.0f, -3.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const nullScaleValues2[16] = - {2.0f, 0.0f, 0.0f, 4.0f, - 0.0f, 0.0f, 0.0f, 5.0f, - 0.0f, 0.0f, 9.0f, -3.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const nullScaleValues3[16] = - {2.0f, 0.0f, 0.0f, 4.0f, - 0.0f, 7.0f, 0.0f, 5.0f, - 0.0f, 0.0f, 0.0f, -3.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - - QTest::newRow("translate") << (void *)translateValues; - QTest::newRow("scale") << (void *)scaleValues; - QTest::newRow("both") << (void *)bothValues; - QTest::newRow("null scale 1") << (void *)nullScaleValues1; - QTest::newRow("null scale 2") << (void *)nullScaleValues2; - QTest::newRow("null scale 3") << (void *)nullScaleValues3; -} -void tst_QMatrixNxN::normalMatrix() -{ - QFETCH(void *, mValues); - const qreal *values = (const qreal *)mValues; - - // Compute the expected answer the long way. - Matrix3 min; - Matrix3 answer; - min.v[0] = values[0]; - min.v[1] = values[1]; - min.v[2] = values[2]; - min.v[3] = values[4]; - min.v[4] = values[5]; - min.v[5] = values[6]; - min.v[6] = values[8]; - min.v[7] = values[9]; - min.v[8] = values[10]; - bool invertible = m3Inverse(min, answer); - m3Transpose(answer); - - // Perform the test. - QMatrix4x4 m1(values); - QMatrix3x3 n1 = m1.normalMatrix(); - - if (invertible) - QVERIFY(::isSame(n1, answer)); - else - QVERIFY(isIdentity(n1)); - - // Perform the test again, after inferring special matrix types. - // This tests the optimized paths in the normalMatrix() function. - m1.inferSpecialType(); - n1 = m1.normalMatrix(); - - if (invertible) - QVERIFY(::isSame(n1, answer)); - else - QVERIFY(isIdentity(n1)); -} - -// Test optimized transformations on 4x4 matrices. -void tst_QMatrixNxN::optimizedTransforms() -{ - static qreal const translateValues[16] = - {1.0f, 0.0f, 0.0f, 4.0f, - 0.0f, 1.0f, 0.0f, 5.0f, - 0.0f, 0.0f, 1.0f, -3.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const translateDoubleValues[16] = - {1.0f, 0.0f, 0.0f, 8.0f, - 0.0f, 1.0f, 0.0f, 10.0f, - 0.0f, 0.0f, 1.0f, -6.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const scaleValues[16] = - {2.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 7.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 9.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const scaleDoubleValues[16] = - {4.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 49.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 81.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const bothValues[16] = - {2.0f, 0.0f, 0.0f, 4.0f, - 0.0f, 7.0f, 0.0f, 5.0f, - 0.0f, 0.0f, 9.0f, -3.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const bothReverseValues[16] = - {2.0f, 0.0f, 0.0f, 4.0f * 2.0f, - 0.0f, 7.0f, 0.0f, 5.0f * 7.0f, - 0.0f, 0.0f, 9.0f, -3.0f * 9.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const bothThenTranslateValues[16] = - {2.0f, 0.0f, 0.0f, 4.0f + 2.0f * 4.0f, - 0.0f, 7.0f, 0.0f, 5.0f + 7.0f * 5.0f, - 0.0f, 0.0f, 9.0f, -3.0f + 9.0f * -3.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - static qreal const bothThenScaleValues[16] = - {4.0f, 0.0f, 0.0f, 4.0f, - 0.0f, 49.0f, 0.0f, 5.0f, - 0.0f, 0.0f, 81.0f, -3.0f, - 0.0f, 0.0f, 0.0f, 1.0f}; - - QMatrix4x4 translate(translateValues); - QMatrix4x4 scale(scaleValues); - QMatrix4x4 both(bothValues); - - QMatrix4x4 m1; - m1.translate(4.0f, 5.0f, -3.0f); - QVERIFY(isSame(m1, translateValues)); - m1.translate(4.0f, 5.0f, -3.0f); - QVERIFY(isSame(m1, translateDoubleValues)); - - QMatrix4x4 m2; - m2.translate(QVector3D(4.0f, 5.0f, -3.0f)); - QVERIFY(isSame(m2, translateValues)); - m2.translate(QVector3D(4.0f, 5.0f, -3.0f)); - QVERIFY(isSame(m2, translateDoubleValues)); - - QMatrix4x4 m3; - m3.scale(2.0f, 7.0f, 9.0f); - QVERIFY(isSame(m3, scaleValues)); - m3.scale(2.0f, 7.0f, 9.0f); - QVERIFY(isSame(m3, scaleDoubleValues)); - - QMatrix4x4 m4; - m4.scale(QVector3D(2.0f, 7.0f, 9.0f)); - QVERIFY(isSame(m4, scaleValues)); - m4.scale(QVector3D(2.0f, 7.0f, 9.0f)); - QVERIFY(isSame(m4, scaleDoubleValues)); - - QMatrix4x4 m5; - m5.translate(4.0f, 5.0f, -3.0f); - m5.scale(2.0f, 7.0f, 9.0f); - QVERIFY(isSame(m5, bothValues)); - m5.translate(4.0f, 5.0f, -3.0f); - QVERIFY(isSame(m5, bothThenTranslateValues)); - - QMatrix4x4 m6; - m6.translate(QVector3D(4.0f, 5.0f, -3.0f)); - m6.scale(QVector3D(2.0f, 7.0f, 9.0f)); - QVERIFY(isSame(m6, bothValues)); - m6.translate(QVector3D(4.0f, 5.0f, -3.0f)); - QVERIFY(isSame(m6, bothThenTranslateValues)); - - QMatrix4x4 m7; - m7.scale(2.0f, 7.0f, 9.0f); - m7.translate(4.0f, 5.0f, -3.0f); - QVERIFY(isSame(m7, bothReverseValues)); - - QMatrix4x4 m8; - m8.scale(QVector3D(2.0f, 7.0f, 9.0f)); - m8.translate(QVector3D(4.0f, 5.0f, -3.0f)); - QVERIFY(isSame(m8, bothReverseValues)); - - QMatrix4x4 m9; - m9.translate(4.0f, 5.0f, -3.0f); - m9.scale(2.0f, 7.0f, 9.0f); - QVERIFY(isSame(m9, bothValues)); - m9.scale(2.0f, 7.0f, 9.0f); - QVERIFY(isSame(m9, bothThenScaleValues)); - - QMatrix4x4 m10; - m10.translate(QVector3D(4.0f, 5.0f, -3.0f)); - m10.scale(QVector3D(2.0f, 7.0f, 9.0f)); - QVERIFY(isSame(m10, bothValues)); - m10.scale(QVector3D(2.0f, 7.0f, 9.0f)); - QVERIFY(isSame(m10, bothThenScaleValues)); -} - -// Test orthographic projections. -void tst_QMatrixNxN::ortho() -{ - QMatrix4x4 m1; - m1.ortho(QRect(0, 0, 300, 150)); - QPointF p1 = m1 * QPointF(0, 0); - QPointF p2 = m1 * QPointF(300, 0); - QPointF p3 = m1 * QPointF(0, 150); - QPointF p4 = m1 * QPointF(300, 150); - QVector3D p5 = m1 * QVector3D(300, 150, 1); - QVERIFY(fuzzyCompare(p1.x(), -1.0)); - QVERIFY(fuzzyCompare(p1.y(), 1.0)); - QVERIFY(fuzzyCompare(p2.x(), 1.0)); - QVERIFY(fuzzyCompare(p2.y(), 1.0)); - QVERIFY(fuzzyCompare(p3.x(), -1.0)); - QVERIFY(fuzzyCompare(p3.y(), -1.0)); - QVERIFY(fuzzyCompare(p4.x(), 1.0)); - QVERIFY(fuzzyCompare(p4.y(), -1.0)); - QVERIFY(fuzzyCompare(p5.x(), (qreal)1.0)); - QVERIFY(fuzzyCompare(p5.y(), (qreal)-1.0)); - QVERIFY(fuzzyCompare(p5.z(), (qreal)-1.0)); - - QMatrix4x4 m2; - m2.ortho(QRectF(0, 0, 300, 150)); - p1 = m2 * QPointF(0, 0); - p2 = m2 * QPointF(300, 0); - p3 = m2 * QPointF(0, 150); - p4 = m2 * QPointF(300, 150); - p5 = m2 * QVector3D(300, 150, 1); - QVERIFY(fuzzyCompare(p1.x(), -1.0)); - QVERIFY(fuzzyCompare(p1.y(), 1.0)); - QVERIFY(fuzzyCompare(p2.x(), 1.0)); - QVERIFY(fuzzyCompare(p2.y(), 1.0)); - QVERIFY(fuzzyCompare(p3.x(), -1.0)); - QVERIFY(fuzzyCompare(p3.y(), -1.0)); - QVERIFY(fuzzyCompare(p4.x(), 1.0)); - QVERIFY(fuzzyCompare(p4.y(), -1.0)); - QVERIFY(fuzzyCompare(p5.x(), (qreal)1.0)); - QVERIFY(fuzzyCompare(p5.y(), (qreal)-1.0)); - QVERIFY(fuzzyCompare(p5.z(), (qreal)-1.0)); - - QMatrix4x4 m3; - m3.ortho(0, 300, 150, 0, -1, 1); - p1 = m3 * QPointF(0, 0); - p2 = m3 * QPointF(300, 0); - p3 = m3 * QPointF(0, 150); - p4 = m3 * QPointF(300, 150); - p5 = m3 * QVector3D(300, 150, 1); - QVERIFY(fuzzyCompare(p1.x(), -1.0)); - QVERIFY(fuzzyCompare(p1.y(), 1.0)); - QVERIFY(fuzzyCompare(p2.x(), 1.0)); - QVERIFY(fuzzyCompare(p2.y(), 1.0)); - QVERIFY(fuzzyCompare(p3.x(), -1.0)); - QVERIFY(fuzzyCompare(p3.y(), -1.0)); - QVERIFY(fuzzyCompare(p4.x(), 1.0)); - QVERIFY(fuzzyCompare(p4.y(), -1.0)); - QVERIFY(fuzzyCompare(p5.x(), (qreal)1.0)); - QVERIFY(fuzzyCompare(p5.y(), (qreal)-1.0)); - QVERIFY(fuzzyCompare(p5.z(), (qreal)-1.0)); - - QMatrix4x4 m4; - m4.ortho(0, 300, 150, 0, -2, 3); - p1 = m4 * QPointF(0, 0); - p2 = m4 * QPointF(300, 0); - p3 = m4 * QPointF(0, 150); - p4 = m4 * QPointF(300, 150); - p5 = m4 * QVector3D(300, 150, 1); - QVERIFY(fuzzyCompare(p1.x(), -1.0)); - QVERIFY(fuzzyCompare(p1.y(), 1.0)); - QVERIFY(fuzzyCompare(p2.x(), 1.0)); - QVERIFY(fuzzyCompare(p2.y(), 1.0)); - QVERIFY(fuzzyCompare(p3.x(), -1.0)); - QVERIFY(fuzzyCompare(p3.y(), -1.0)); - QVERIFY(fuzzyCompare(p4.x(), 1.0)); - QVERIFY(fuzzyCompare(p4.y(), -1.0)); - QVERIFY(fuzzyCompare(p5.x(), (qreal)1.0)); - QVERIFY(fuzzyCompare(p5.y(), (qreal)-1.0)); - QVERIFY(fuzzyCompare(p5.z(), (qreal)-0.6)); - - // An empty view volume should leave the matrix alone. - QMatrix4x4 m5; - m5.ortho(0, 0, 150, 0, -2, 3); - QVERIFY(m5.isIdentity()); - m5.ortho(0, 300, 150, 150, -2, 3); - QVERIFY(m5.isIdentity()); - m5.ortho(0, 300, 150, 0, 2, 2); - QVERIFY(m5.isIdentity()); -} - -// Test perspective frustum projections. -void tst_QMatrixNxN::frustum() -{ - QMatrix4x4 m1; - m1.frustum(-1.0f, 1.0f, -1.0f, 1.0f, -1.0f, 1.0f); - QVector3D p1 = m1 * QVector3D(-1.0f, -1.0f, 1.0f); - QVector3D p2 = m1 * QVector3D(1.0f, -1.0f, 1.0f); - QVector3D p3 = m1 * QVector3D(-1.0f, 1.0f, 1.0f); - QVector3D p4 = m1 * QVector3D(1.0f, 1.0f, 1.0f); - QVector3D p5 = m1 * QVector3D(0.0f, 0.0f, 2.0f); - QVERIFY(fuzzyCompare(p1.x(), -1.0f)); - QVERIFY(fuzzyCompare(p1.y(), -1.0f)); - QVERIFY(fuzzyCompare(p1.z(), -1.0f)); - QVERIFY(fuzzyCompare(p2.x(), 1.0f)); - QVERIFY(fuzzyCompare(p2.y(), -1.0f)); - QVERIFY(fuzzyCompare(p2.z(), -1.0f)); - QVERIFY(fuzzyCompare(p3.x(), -1.0f)); - QVERIFY(fuzzyCompare(p3.y(), 1.0f)); - QVERIFY(fuzzyCompare(p3.z(), -1.0f)); - QVERIFY(fuzzyCompare(p4.x(), 1.0f)); - QVERIFY(fuzzyCompare(p4.y(), 1.0f)); - QVERIFY(fuzzyCompare(p4.z(), -1.0f)); - QVERIFY(fuzzyCompare(p5.x(), 0.0f)); - QVERIFY(fuzzyCompare(p5.y(), 0.0f)); - QVERIFY(fuzzyCompare(p5.z(), -0.5f)); - - // An empty view volume should leave the matrix alone. - QMatrix4x4 m5; - m5.frustum(0, 0, 150, 0, -2, 3); - QVERIFY(m5.isIdentity()); - m5.frustum(0, 300, 150, 150, -2, 3); - QVERIFY(m5.isIdentity()); - m5.frustum(0, 300, 150, 0, 2, 2); - QVERIFY(m5.isIdentity()); -} - -// Test perspective field-of-view projections. -void tst_QMatrixNxN::perspective() -{ - QMatrix4x4 m1; - m1.perspective(45.0f, 1.0f, -1.0f, 1.0f); - QVector3D p1 = m1 * QVector3D(-1.0f, -1.0f, 1.0f); - QVector3D p2 = m1 * QVector3D(1.0f, -1.0f, 1.0f); - QVector3D p3 = m1 * QVector3D(-1.0f, 1.0f, 1.0f); - QVector3D p4 = m1 * QVector3D(1.0f, 1.0f, 1.0f); - QVector3D p5 = m1 * QVector3D(0.0f, 0.0f, 2.0f); - QVERIFY(fuzzyCompare(p1.x(), 2.41421)); - QVERIFY(fuzzyCompare(p1.y(), 2.41421)); - QVERIFY(fuzzyCompare(p1.z(), -1)); - QVERIFY(fuzzyCompare(p2.x(), -2.41421)); - QVERIFY(fuzzyCompare(p2.y(), 2.41421)); - QVERIFY(fuzzyCompare(p2.z(), -1.0f)); - QVERIFY(fuzzyCompare(p3.x(), 2.41421)); - QVERIFY(fuzzyCompare(p3.y(), -2.41421)); - QVERIFY(fuzzyCompare(p3.z(), -1.0f)); - QVERIFY(fuzzyCompare(p4.x(), -2.41421)); - QVERIFY(fuzzyCompare(p4.y(), -2.41421)); - QVERIFY(fuzzyCompare(p4.z(), -1.0f)); - QVERIFY(fuzzyCompare(p5.x(), 0.0f)); - QVERIFY(fuzzyCompare(p5.y(), 0.0f)); - QVERIFY(fuzzyCompare(p5.z(), -0.5f)); - - // An empty view volume should leave the matrix alone. - QMatrix4x4 m5; - m5.perspective(45.0f, 1.0f, 0.0f, 0.0f); - QVERIFY(m5.isIdentity()); - m5.perspective(45.0f, 0.0f, -1.0f, 1.0f); - QVERIFY(m5.isIdentity()); - m5.perspective(0.0f, 1.0f, -1.0f, 1.0f); - QVERIFY(m5.isIdentity()); -} - -// Test left-handed vs right-handed coordinate flipping. -void tst_QMatrixNxN::flipCoordinates() -{ - QMatrix4x4 m1; - m1.flipCoordinates(); - QVector3D p1 = m1 * QVector3D(2, 3, 4); - QVERIFY(p1 == QVector3D(2, -3, -4)); - - QMatrix4x4 m2; - m2.scale(2.0f, 3.0f, 1.0f); - m2.flipCoordinates(); - QVector3D p2 = m2 * QVector3D(2, 3, 4); - QVERIFY(p2 == QVector3D(4, -9, -4)); - - QMatrix4x4 m3; - m3.translate(2.0f, 3.0f, 1.0f); - m3.flipCoordinates(); - QVector3D p3 = m3 * QVector3D(2, 3, 4); - QVERIFY(p3 == QVector3D(4, 0, -3)); - - QMatrix4x4 m4; - m4.rotate(90.0f, 0.0f, 0.0f, 1.0f); - m4.flipCoordinates(); - QVector3D p4 = m4 * QVector3D(2, 3, 4); - QVERIFY(p4 == QVector3D(3, 2, -4)); -} - -// Test conversion of generic matrices to and from the non-generic types. -void tst_QMatrixNxN::convertGeneric() -{ - QMatrix4x3 m1(uniqueValues4x3); - - static qreal const unique4x4[16] = { - 1.0f, 2.0f, 3.0f, 4.0f, - 5.0f, 6.0f, 7.0f, 8.0f, - 9.0f, 10.0f, 11.0f, 12.0f, - 0.0f, 0.0f, 0.0f, 1.0f - }; -#if !defined(QT_NO_MEMBER_TEMPLATES) - QMatrix4x4 m4(m1); - QVERIFY(isSame(m4, unique4x4)); -#endif - QMatrix4x4 m5 = qGenericMatrixToMatrix4x4(m1); - QVERIFY(isSame(m5, unique4x4)); - - static qreal const conv4x4[12] = { - 1.0f, 2.0f, 3.0f, 4.0f, - 5.0f, 6.0f, 7.0f, 8.0f, - 9.0f, 10.0f, 11.0f, 12.0f - }; - QMatrix4x4 m9(uniqueValues4); -#if !defined(QT_NO_MEMBER_TEMPLATES) - QMatrix4x3 m10 = m9.toGenericMatrix<4, 3>(); - QVERIFY(isSame(m10, conv4x4)); -#endif - - QMatrix4x3 m11 = qGenericMatrixFromMatrix4x4<4, 3>(m9); - QVERIFY(isSame(m11, conv4x4)); -} - -void tst_QMatrixNxN::extractAxisRotation_data() -{ - QTest::addColumn<float>("x"); - QTest::addColumn<float>("y"); - QTest::addColumn<float>("z"); - QTest::addColumn<float>("angle"); - - QTest::newRow("1, 0, 0, 0 deg") << 1.0f << 0.0f << 0.0f << 0.0f; - QTest::newRow("1, 0, 0, 90 deg") << 1.0f << 0.0f << 0.0f << 90.0f; - QTest::newRow("1, 0, 0, 270 deg") << 1.0f << 0.0f << 0.0f << 270.0f; - QTest::newRow("1, 0, 0, 45 deg") << 1.0f << 0.0f << 0.0f << 45.0f; - QTest::newRow("1, 0, 0, 120 deg") << 1.0f << 0.0f << 0.0f << 120.0f; - QTest::newRow("1, 0, 0, 300 deg") << 1.0f << 0.0f << 0.0f << 300.0f; - - QTest::newRow("0, 1, 0, 90 deg") << 0.0f << 1.0f << 0.0f << 90.0f; - QTest::newRow("0, 1, 0, 270 deg") << 0.0f << 1.0f << 0.0f << 270.0f; - QTest::newRow("0, 1, 0, 45 deg") << 0.0f << 1.0f << 0.0f << 45.0f; - QTest::newRow("0, 1, 0, 120 deg") << 0.0f << 1.0f << 0.0f << 120.0f; - QTest::newRow("0, 1, 0, 300 deg") << 0.0f << 1.0f << 0.0f << 300.0f; - - QTest::newRow("0, 0, 1, 90 deg") << 0.0f << 0.0f << 1.0f << 90.0f; - QTest::newRow("0, 0, 1, 270 deg") << 0.0f << 0.0f << 1.0f << 270.0f; - QTest::newRow("0, 0, 1, 45 deg") << 0.0f << 0.0f << 1.0f << 45.0f; - QTest::newRow("0, 0, 1, 120 deg") << 0.0f << 0.0f << 1.0f << 120.0f; - QTest::newRow("0, 0, 1, 300 deg") << 0.0f << 0.0f << 1.0f << 300.0f; - - QTest::newRow("1, 1, 1, 90 deg") << 1.0f << 1.0f << 1.0f << 90.0f; - QTest::newRow("1, 1, 1, 270 deg") << 1.0f << 1.0f << 1.0f << 270.0f; - QTest::newRow("1, 1, 1, 45 deg") << 1.0f << 1.0f << 1.0f << 45.0f; - QTest::newRow("1, 1, 1, 120 deg") << 1.0f << 1.0f << 1.0f << 120.0f; - QTest::newRow("1, 1, 1, 300 deg") << 1.0f << 1.0f << 1.0f << 300.0f; -} - -void tst_QMatrixNxN::extractAxisRotation() -{ - QFETCH(float, x); - QFETCH(float, y); - QFETCH(float, z); - QFETCH(float, angle); - - QMatrix4x4 m; - QVector3D origAxis(x, y, z); - - m.rotate(angle, x, y, z); - - origAxis.normalize(); - QVector3D extractedAxis; - qreal extractedAngle; - - m.extractAxisRotation(extractedAngle, extractedAxis); - - qreal epsilon = 0.001; - - if (angle > 180) { - QVERIFY(fuzzyCompare(360.0f - angle, extractedAngle, epsilon)); - QVERIFY(fuzzyCompare(extractedAxis, -origAxis, epsilon)); - } else { - QVERIFY(fuzzyCompare(angle, extractedAngle, epsilon)); - QVERIFY(fuzzyCompare(extractedAxis, origAxis, epsilon)); - } -} - -void tst_QMatrixNxN::extractTranslation_data() -{ - QTest::addColumn<QMatrix4x4>("rotation"); - QTest::addColumn<float>("x"); - QTest::addColumn<float>("y"); - QTest::addColumn<float>("z"); - - static QMatrix4x4 m1; - - QTest::newRow("identity, 100, 50, 25") - << m1 << 100.0f << 50.0f << 250.0f; - - m1.rotate(45.0, 1.0, 0.0, 0.0); - QTest::newRow("rotX 45 + 100, 50, 25") << m1 << 100.0f << 50.0f << 25.0f; - - m1.setIdentity(); - m1.rotate(45.0, 0.0, 1.0, 0.0); - QTest::newRow("rotY 45 + 100, 50, 25") << m1 << 100.0f << 50.0f << 25.0f; - - m1.setIdentity(); - m1.rotate(75, 0.0, 0.0, 1.0); - m1.rotate(25, 1.0, 0.0, 0.0); - m1.rotate(45, 0.0, 1.0, 0.0); - QTest::newRow("rotZ 75, rotX 25, rotY 45, 100, 50, 25") << m1 << 100.0f << 50.0f << 25.0f; -} - -void tst_QMatrixNxN::extractTranslation() -{ - QFETCH(QMatrix4x4, rotation); - QFETCH(float, x); - QFETCH(float, y); - QFETCH(float, z); - - rotation.translate(x, y, z); - - QVector3D vec = rotation.extractTranslation(); - - qreal epsilon = 0.001; - - QVERIFY(fuzzyCompare(vec.x(), x, epsilon)); - QVERIFY(fuzzyCompare(vec.y(), y, epsilon)); - QVERIFY(fuzzyCompare(vec.z(), z, epsilon)); - - QMatrix4x4 lookAt; - QVector3D eye(1.5f, -2.5f, 2.5f); - lookAt.lookAt(eye, - QVector3D(10.0f, 10.0f, 10.0f), - QVector3D(0.0f, 1.0f, 0.0f)); - - QVector3D extEye = lookAt.extractTranslation(); - - QVERIFY(fuzzyCompare(eye.x(), -extEye.x(), epsilon)); - QVERIFY(fuzzyCompare(eye.y(), -extEye.y(), epsilon)); - QVERIFY(fuzzyCompare(eye.z(), -extEye.z(), epsilon)); -} - -// Copy of "flagBits" in qmatrix4x4.h. -enum { - Identity = 0x0001, // Identity matrix - General = 0x0002, // General matrix, unknown contents - Translation = 0x0004, // Contains a simple translation - Scale = 0x0008, // Contains a simple scale - Rotation = 0x0010 // Contains a simple rotation -}; - -// Structure that allows direct access to "flagBits" for testing. -struct Matrix4x4 -{ - float m[4][4]; - int flagBits; -}; - -// Test the inferring of special matrix types. -void tst_QMatrixNxN::inferSpecialType_data() -{ - QTest::addColumn<void *>("mValues"); - QTest::addColumn<int>("flagBits"); - - QTest::newRow("null") - << (void *)nullValues4 << (int)General; - QTest::newRow("identity") - << (void *)identityValues4 << (int)Identity; - QTest::newRow("unique") - << (void *)uniqueValues4 << (int)General; - - static qreal scaleValues[16] = { - 2.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 3.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 4.0f, 0.0f, - 0.0f, 0.0f, 0.0f, 1.0f - }; - QTest::newRow("scale") - << (void *)scaleValues << (int)Scale; - - static qreal translateValues[16] = { - 1.0f, 0.0f, 0.0f, 2.0f, - 0.0f, 1.0f, 0.0f, 3.0f, - 0.0f, 0.0f, 1.0f, 4.0f, - 0.0f, 0.0f, 0.0f, 1.0f - }; - QTest::newRow("scale") - << (void *)translateValues << (int)Translation; - - static qreal bothValues[16] = { - 1.0f, 0.0f, 0.0f, 2.0f, - 0.0f, 2.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 1.0f, 4.0f, - 0.0f, 0.0f, 0.0f, 1.0f - }; - QTest::newRow("both") - << (void *)bothValues << (int)(Scale | Translation); - - static qreal belowValues[16] = { - 1.0f, 0.0f, 0.0f, 0.0f, - 0.0f, 1.0f, 0.0f, 0.0f, - 0.0f, 0.0f, 1.0f, 0.0f, - 4.0f, 0.0f, 0.0f, 1.0f - }; - QTest::newRow("below") - << (void *)belowValues << (int)General; -} -void tst_QMatrixNxN::inferSpecialType() -{ - QFETCH(void *, mValues); - QFETCH(int, flagBits); - - QMatrix4x4 m((const qreal *)mValues); - m.inferSpecialType(); - - QCOMPARE(reinterpret_cast<Matrix4x4 *>(&m)->flagBits, flagBits); -} - -void tst_QMatrixNxN::columnsAndRows() -{ - QMatrix4x4 m1(uniqueValues4); - - QVERIFY(m1.column(0) == QVector4D(1, 5, 9, 13)); - QVERIFY(m1.column(1) == QVector4D(2, 6, 10, 14)); - QVERIFY(m1.column(2) == QVector4D(3, 7, 11, 15)); - QVERIFY(m1.column(3) == QVector4D(4, 8, 12, 16)); - - QVERIFY(m1.row(0) == QVector4D(1, 2, 3, 4)); - QVERIFY(m1.row(1) == QVector4D(5, 6, 7, 8)); - QVERIFY(m1.row(2) == QVector4D(9, 10, 11, 12)); - QVERIFY(m1.row(3) == QVector4D(13, 14, 15, 16)); - - m1.setColumn(0, QVector4D(-1, -5, -9, -13)); - m1.setColumn(1, QVector4D(-2, -6, -10, -14)); - m1.setColumn(2, QVector4D(-3, -7, -11, -15)); - m1.setColumn(3, QVector4D(-4, -8, -12, -16)); - - QVERIFY(m1.column(0) == QVector4D(-1, -5, -9, -13)); - QVERIFY(m1.column(1) == QVector4D(-2, -6, -10, -14)); - QVERIFY(m1.column(2) == QVector4D(-3, -7, -11, -15)); - QVERIFY(m1.column(3) == QVector4D(-4, -8, -12, -16)); - - QVERIFY(m1.row(0) == QVector4D(-1, -2, -3, -4)); - QVERIFY(m1.row(1) == QVector4D(-5, -6, -7, -8)); - QVERIFY(m1.row(2) == QVector4D(-9, -10, -11, -12)); - QVERIFY(m1.row(3) == QVector4D(-13, -14, -15, -16)); - - m1.setRow(0, QVector4D(1, 5, 9, 13)); - m1.setRow(1, QVector4D(2, 6, 10, 14)); - m1.setRow(2, QVector4D(3, 7, 11, 15)); - m1.setRow(3, QVector4D(4, 8, 12, 16)); - - QVERIFY(m1.column(0) == QVector4D(1, 2, 3, 4)); - QVERIFY(m1.column(1) == QVector4D(5, 6, 7, 8)); - QVERIFY(m1.column(2) == QVector4D(9, 10, 11, 12)); - QVERIFY(m1.column(3) == QVector4D(13, 14, 15, 16)); - - QVERIFY(m1.row(0) == QVector4D(1, 5, 9, 13)); - QVERIFY(m1.row(1) == QVector4D(2, 6, 10, 14)); - QVERIFY(m1.row(2) == QVector4D(3, 7, 11, 15)); - QVERIFY(m1.row(3) == QVector4D(4, 8, 12, 16)); -} - -// Test converting QMatrix objects into QMatrix4x4 and then -// checking that transformations in the original perform the -// equivalent transformations in the new matrix. -void tst_QMatrixNxN::convertQMatrix() -{ - QMatrix m1; - m1.translate(-3.5, 2.0); - QPointF p1 = m1.map(QPointF(100.0, 150.0)); - QCOMPARE(p1.x(), 100.0 - 3.5); - QCOMPARE(p1.y(), 150.0 + 2.0); - - QMatrix4x4 m2(m1); - QPointF p2 = m2 * QPointF(100.0, 150.0); - QCOMPARE((double)p2.x(), 100.0 - 3.5); - QCOMPARE((double)p2.y(), 150.0 + 2.0); - QVERIFY(m1 == m2.toAffine()); - - QMatrix m3; - m3.scale(1.5, -2.0); - QPointF p3 = m3.map(QPointF(100.0, 150.0)); - QCOMPARE(p3.x(), 1.5 * 100.0); - QCOMPARE(p3.y(), -2.0 * 150.0); - - QMatrix4x4 m4(m3); - QPointF p4 = m4 * QPointF(100.0, 150.0); - QCOMPARE((double)p4.x(), 1.5 * 100.0); - QCOMPARE((double)p4.y(), -2.0 * 150.0); - QVERIFY(m3 == m4.toAffine()); - - QMatrix m5; - m5.rotate(45.0); - QPointF p5 = m5.map(QPointF(100.0, 150.0)); - - QMatrix4x4 m6(m5); - QPointF p6 = m6 * QPointF(100.0, 150.0); - QVERIFY(fuzzyCompare(p5.x(), p6.x(), 0.005)); - QVERIFY(fuzzyCompare(p5.y(), p6.y(), 0.005)); - - QMatrix m7 = m6.toAffine(); - QVERIFY(fuzzyCompare(m5.m11(), m7.m11())); - QVERIFY(fuzzyCompare(m5.m12(), m7.m12())); - QVERIFY(fuzzyCompare(m5.m21(), m7.m21())); - QVERIFY(fuzzyCompare(m5.m22(), m7.m22())); - QVERIFY(fuzzyCompare(m5.dx(), m7.dx())); - QVERIFY(fuzzyCompare(m5.dy(), m7.dy())); -} - -// Test converting QTransform objects into QMatrix4x4 and then -// checking that transformations in the original perform the -// equivalent transformations in the new matrix. -void tst_QMatrixNxN::convertQTransform() -{ - QTransform m1; - m1.translate(-3.5, 2.0); - QPointF p1 = m1.map(QPointF(100.0, 150.0)); - QCOMPARE(p1.x(), 100.0 - 3.5); - QCOMPARE(p1.y(), 150.0 + 2.0); - - QMatrix4x4 m2(m1); - QPointF p2 = m2 * QPointF(100.0, 150.0); - QCOMPARE((double)p2.x(), 100.0 - 3.5); - QCOMPARE((double)p2.y(), 150.0 + 2.0); - QVERIFY(m1 == m2.toTransform()); - - QTransform m3; - m3.scale(1.5, -2.0); - QPointF p3 = m3.map(QPointF(100.0, 150.0)); - QCOMPARE(p3.x(), 1.5 * 100.0); - QCOMPARE(p3.y(), -2.0 * 150.0); - - QMatrix4x4 m4(m3); - QPointF p4 = m4 * QPointF(100.0, 150.0); - QCOMPARE((double)p4.x(), 1.5 * 100.0); - QCOMPARE((double)p4.y(), -2.0 * 150.0); - QVERIFY(m3 == m4.toTransform()); - - QTransform m5; - m5.rotate(45.0); - QPointF p5 = m5.map(QPointF(100.0, 150.0)); - - QMatrix4x4 m6(m5); - QPointF p6 = m6 * QPointF(100.0, 150.0); - QVERIFY(fuzzyCompare(p5.x(), p6.x(), 0.005)); - QVERIFY(fuzzyCompare(p5.y(), p6.y(), 0.005)); - - QTransform m7 = m6.toTransform(); - QVERIFY(fuzzyCompare(m5.m11(), m7.m11())); - QVERIFY(fuzzyCompare(m5.m12(), m7.m12())); - QVERIFY(fuzzyCompare(m5.m21(), m7.m21())); - QVERIFY(fuzzyCompare(m5.m22(), m7.m22())); - QVERIFY(fuzzyCompare(m5.dx(), m7.dx())); - QVERIFY(fuzzyCompare(m5.dy(), m7.dy())); - QVERIFY(fuzzyCompare(m5.m13(), m7.m13())); - QVERIFY(fuzzyCompare(m5.m23(), m7.m23())); - QVERIFY(fuzzyCompare(m5.m33(), m7.m33())); -} - -// Test filling matrices with specific values. -void tst_QMatrixNxN::fill() -{ - QMatrix4x4 m1; - m1.fill(0.0f); - QVERIFY(isSame(m1, nullValues4)); - - static const qreal fillValues4[] = - {2.5f, 2.5f, 2.5f, 2.5f, - 2.5f, 2.5f, 2.5f, 2.5f, - 2.5f, 2.5f, 2.5f, 2.5f, - 2.5f, 2.5f, 2.5f, 2.5f}; - m1.fill(2.5f); - QVERIFY(isSame(m1, fillValues4)); - - QMatrix4x3 m2; - m2.fill(0.0f); - QVERIFY(isSame(m2, nullValues4x3)); - - static const qreal fillValues4x3[] = - {2.5f, 2.5f, 2.5f, 2.5f, - 2.5f, 2.5f, 2.5f, 2.5f, - 2.5f, 2.5f, 2.5f, 2.5f}; - m2.fill(2.5f); - QVERIFY(isSame(m2, fillValues4x3)); -} - -// Test the mapRect() function for QRect and QRectF. -void tst_QMatrixNxN::mapRect_data() -{ - QTest::addColumn<qreal>("x"); - QTest::addColumn<qreal>("y"); - QTest::addColumn<qreal>("width"); - QTest::addColumn<qreal>("height"); - - QTest::newRow("null") - << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f << (qreal)0.0f; - QTest::newRow("rect") - << (qreal)1.0f << (qreal)-20.5f << (qreal)100.0f << (qreal)63.75f; -} -void tst_QMatrixNxN::mapRect() -{ - QFETCH(qreal, x); - QFETCH(qreal, y); - QFETCH(qreal, width); - QFETCH(qreal, height); - - QRectF rect(x, y, width, height); - QRect recti(qRound(x), qRound(y), qRound(width), qRound(height)); - - QMatrix4x4 m1; - QVERIFY(m1.mapRect(rect) == rect); - QVERIFY(m1.mapRect(recti) == recti); - - QMatrix4x4 m2; - m2.translate(-100.5f, 64.0f); - QRectF translated = rect.translated(-100.5f, 64.0f); - QRect translatedi = QRect(qRound(recti.x() - 100.5f), recti.y() + 64, - recti.width(), recti.height()); - QVERIFY(m2.mapRect(rect) == translated); - QVERIFY(m2.mapRect(recti) == translatedi); - - QMatrix4x4 m3; - m3.scale(-100.5f, 64.0f); - qreal scalex = x * -100.5f; - qreal scaley = y * 64.0f; - qreal scalewid = width * -100.5f; - qreal scaleht = height * 64.0f; - if (scalewid < 0.0f) { - scalewid = -scalewid; - scalex -= scalewid; - } - if (scaleht < 0.0f) { - scaleht = -scaleht; - scaley -= scaleht; - } - QRectF scaled(scalex, scaley, scalewid, scaleht); - QVERIFY(m3.mapRect(rect) == scaled); - scalex = recti.x() * -100.5f; - scaley = recti.y() * 64.0f; - scalewid = recti.width() * -100.5f; - scaleht = recti.height() * 64.0f; - if (scalewid < 0.0f) { - scalewid = -scalewid; - scalex -= scalewid; - } - if (scaleht < 0.0f) { - scaleht = -scaleht; - scaley -= scaleht; - } - QRect scaledi(qRound(scalex), qRound(scaley), - qRound(scalewid), qRound(scaleht)); - QVERIFY(m3.mapRect(recti) == scaledi); - - QMatrix4x4 m4; - m4.translate(-100.5f, 64.0f); - m4.scale(-2.5f, 4.0f); - qreal transx1 = x * -2.5f - 100.5f; - qreal transy1 = y * 4.0f + 64.0f; - qreal transx2 = (x + width) * -2.5f - 100.5f; - qreal transy2 = (y + height) * 4.0f + 64.0f; - if (transx1 > transx2) - qSwap(transx1, transx2); - if (transy1 > transy2) - qSwap(transy1, transy2); - QRectF trans(transx1, transy1, transx2 - transx1, transy2 - transy1); - QVERIFY(m4.mapRect(rect) == trans); - transx1 = recti.x() * -2.5f - 100.5f; - transy1 = recti.y() * 4.0f + 64.0f; - transx2 = (recti.x() + recti.width()) * -2.5f - 100.5f; - transy2 = (recti.y() + recti.height()) * 4.0f + 64.0f; - if (transx1 > transx2) - qSwap(transx1, transx2); - if (transy1 > transy2) - qSwap(transy1, transy2); - QRect transi(qRound(transx1), qRound(transy1), - qRound(transx2) - qRound(transx1), - qRound(transy2) - qRound(transy1)); - QVERIFY(m4.mapRect(recti) == transi); - - m4.rotate(45.0f, 0.0f, 0.0f, 1.0f); - - QTransform t4; - t4.translate(-100.5f, 64.0f); - t4.scale(-2.5f, 4.0f); - t4.rotate(45.0f); - QRectF mr = m4.mapRect(rect); - QRectF tr = t4.mapRect(rect); - QVERIFY(fuzzyCompare(mr.x(), tr.x())); - QVERIFY(fuzzyCompare(mr.y(), tr.y())); - QVERIFY(fuzzyCompare(mr.width(), tr.width())); - QVERIFY(fuzzyCompare(mr.height(), tr.height())); - - QRect mri = m4.mapRect(recti); - QRect tri = t4.mapRect(recti); - QVERIFY(mri == tri); -} - -class tst_QMatrixNxN4x4Properties : public QObject -{ - Q_OBJECT - Q_PROPERTY(QMatrix4x4 matrix READ matrix WRITE setMatrix) -public: - tst_QMatrixNxN4x4Properties(QObject *parent = 0) : QObject(parent) {} - - QMatrix4x4 matrix() const { return m; } - void setMatrix(const QMatrix4x4& value) { m = value; } - -private: - QMatrix4x4 m; -}; - -// Test getting and setting matrix properties via the metaobject system. -void tst_QMatrixNxN::properties() -{ - tst_QMatrixNxN4x4Properties obj; - - QMatrix4x4 m1(uniqueValues4); - obj.setMatrix(m1); - - QMatrix4x4 m2 = qVariantValue<QMatrix4x4>(obj.property("matrix")); - QVERIFY(isSame(m2, uniqueValues4)); - - QMatrix4x4 m3(transposedValues4); - obj.setProperty("matrix", qVariantFromValue(m3)); - - m2 = qVariantValue<QMatrix4x4>(obj.property("matrix")); - QVERIFY(isSame(m2, transposedValues4)); -} - -void tst_QMatrixNxN::metaTypes() -{ - QVERIFY(QMetaType::type("QMatrix4x4") == QMetaType::QMatrix4x4); - - QCOMPARE(QByteArray(QMetaType::typeName(QMetaType::QMatrix4x4)), - QByteArray("QMatrix4x4")); - - QVERIFY(QMetaType::isRegistered(QMetaType::QMatrix4x4)); - - QVERIFY(qMetaTypeId<QMatrix4x4>() == QMetaType::QMatrix4x4); -} - -QTEST_APPLESS_MAIN(tst_QMatrixNxN) - -#include "tst_qmatrixnxn.moc" |