a90f50942e
Task-number: QTBUG-21133 Change-Id: I83b8f652935cf92151265ca2530a3cf81c31fdef Reviewed-on: http://codereview.qt.nokia.com/3996 Reviewed-by: Qt Sanity Bot <qt_sanity_bot@ovi.com> Reviewed-by: Jo Asplin <jo.asplin@nokia.com>
3386 lines
97 KiB
C++
3386 lines
97 KiB
C++
/****************************************************************************
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**
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** Copyright (C) 2011 Nokia Corporation and/or its subsidiary(-ies).
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** All rights reserved.
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** Contact: Nokia Corporation (qt-info@nokia.com)
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**
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** This file is part of the test suite of the Qt Toolkit.
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**
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** $QT_BEGIN_LICENSE:LGPL$
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** GNU Lesser General Public License Usage
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** This file may be used under the terms of the GNU Lesser General Public
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** License version 2.1 as published by the Free Software Foundation and
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** appearing in the file LICENSE.LGPL included in the packaging of this
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** file. Please review the following information to ensure the GNU Lesser
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** General Public License version 2.1 requirements will be met:
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** http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html.
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**
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** In addition, as a special exception, Nokia gives you certain additional
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** rights. These rights are described in the Nokia Qt LGPL Exception
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** version 1.1, included in the file LGPL_EXCEPTION.txt in this package.
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**
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** GNU General Public License Usage
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** Alternatively, this file may be used under the terms of the GNU General
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** Public License version 3.0 as published by the Free Software Foundation
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** and appearing in the file LICENSE.GPL included in the packaging of this
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** file. Please review the following information to ensure the GNU General
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** Public License version 3.0 requirements will be met:
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** http://www.gnu.org/copyleft/gpl.html.
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**
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** Other Usage
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** Alternatively, this file may be used in accordance with the terms and
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** conditions contained in a signed written agreement between you and Nokia.
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**
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**
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**
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**
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**
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** $QT_END_LICENSE$
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**
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****************************************************************************/
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#include <QtTest/QtTest>
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#include <QtCore/qmath.h>
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#include <QtGui/qmatrix4x4.h>
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class tst_QMatrixNxN : public QObject
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{
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Q_OBJECT
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public:
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tst_QMatrixNxN() {}
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~tst_QMatrixNxN() {}
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private slots:
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void create2x2();
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void create3x3();
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void create4x4();
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void create4x3();
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void isIdentity2x2();
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void isIdentity3x3();
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void isIdentity4x4();
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void isIdentity4x3();
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void compare2x2();
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void compare3x3();
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void compare4x4();
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void compare4x3();
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void transposed2x2();
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void transposed3x3();
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void transposed4x4();
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void transposed4x3();
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void add2x2_data();
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void add2x2();
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void add3x3_data();
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void add3x3();
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void add4x4_data();
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void add4x4();
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void add4x3_data();
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void add4x3();
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void subtract2x2_data();
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void subtract2x2();
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void subtract3x3_data();
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void subtract3x3();
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void subtract4x4_data();
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void subtract4x4();
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void subtract4x3_data();
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void subtract4x3();
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void multiply2x2_data();
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void multiply2x2();
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void multiply3x3_data();
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void multiply3x3();
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void multiply4x4_data();
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void multiply4x4();
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void multiply4x3_data();
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void multiply4x3();
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void multiplyFactor2x2_data();
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void multiplyFactor2x2();
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void multiplyFactor3x3_data();
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void multiplyFactor3x3();
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void multiplyFactor4x4_data();
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void multiplyFactor4x4();
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void multiplyFactor4x3_data();
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void multiplyFactor4x3();
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void divideFactor2x2_data();
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void divideFactor2x2();
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void divideFactor3x3_data();
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void divideFactor3x3();
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void divideFactor4x4_data();
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void divideFactor4x4();
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void divideFactor4x3_data();
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void divideFactor4x3();
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void negate2x2_data();
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void negate2x2();
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void negate3x3_data();
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void negate3x3();
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void negate4x4_data();
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void negate4x4();
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void negate4x3_data();
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void negate4x3();
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void inverted4x4_data();
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void inverted4x4();
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void orthonormalInverse4x4();
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void scale4x4_data();
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void scale4x4();
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void translate4x4_data();
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void translate4x4();
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void rotate4x4_data();
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void rotate4x4();
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void normalMatrix_data();
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void normalMatrix();
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void optimizedTransforms();
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void ortho();
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void frustum();
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void perspective();
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void flipCoordinates();
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void convertGeneric();
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void optimize_data();
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void optimize();
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void columnsAndRows();
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void convertQMatrix();
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void convertQTransform();
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void fill();
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void mapRect_data();
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void mapRect();
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void mapVector_data();
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void mapVector();
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void properties();
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void metaTypes();
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private:
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static void setMatrix(QMatrix2x2& m, const qreal *values);
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static void setMatrixDirect(QMatrix2x2& m, const qreal *values);
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static bool isSame(const QMatrix2x2& m, const qreal *values);
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static bool isIdentity(const QMatrix2x2& m);
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static void setMatrix(QMatrix3x3& m, const qreal *values);
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static void setMatrixDirect(QMatrix3x3& m, const qreal *values);
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static bool isSame(const QMatrix3x3& m, const qreal *values);
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static bool isIdentity(const QMatrix3x3& m);
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static void setMatrix(QMatrix4x4& m, const qreal *values);
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static void setMatrixDirect(QMatrix4x4& m, const qreal *values);
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static bool isSame(const QMatrix4x4& m, const qreal *values);
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static bool isIdentity(const QMatrix4x4& m);
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static void setMatrix(QMatrix4x3& m, const qreal *values);
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static void setMatrixDirect(QMatrix4x3& m, const qreal *values);
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static bool isSame(const QMatrix4x3& m, const qreal *values);
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static bool isIdentity(const QMatrix4x3& m);
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};
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static const qreal nullValues2[] =
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{0.0f, 0.0f,
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0.0f, 0.0f};
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static qreal const identityValues2[16] =
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{1.0f, 0.0f,
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0.0f, 1.0f};
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static const qreal doubleIdentity2[] =
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{2.0f, 0.0f,
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0.0f, 2.0f};
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static qreal const uniqueValues2[16] =
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{1.0f, 2.0f,
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5.0f, 6.0f};
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static qreal const transposedValues2[16] =
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{1.0f, 5.0f,
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2.0f, 6.0f};
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static const qreal nullValues3[] =
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{0.0f, 0.0f, 0.0f,
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0.0f, 0.0f, 0.0f,
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0.0f, 0.0f, 0.0f};
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static qreal const identityValues3[16] =
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{1.0f, 0.0f, 0.0f,
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0.0f, 1.0f, 0.0f,
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0.0f, 0.0f, 1.0f};
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static const qreal doubleIdentity3[] =
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{2.0f, 0.0f, 0.0f,
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0.0f, 2.0f, 0.0f,
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0.0f, 0.0f, 2.0f};
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static qreal const uniqueValues3[16] =
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{1.0f, 2.0f, 3.0f,
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5.0f, 6.0f, 7.0f,
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9.0f, 10.0f, 11.0f};
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static qreal const transposedValues3[16] =
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{1.0f, 5.0f, 9.0f,
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2.0f, 6.0f, 10.0f,
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3.0f, 7.0f, 11.0f};
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static const qreal nullValues4[] =
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{0.0f, 0.0f, 0.0f, 0.0f,
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0.0f, 0.0f, 0.0f, 0.0f,
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0.0f, 0.0f, 0.0f, 0.0f,
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0.0f, 0.0f, 0.0f, 0.0f};
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static qreal const identityValues4[16] =
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{1.0f, 0.0f, 0.0f, 0.0f,
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0.0f, 1.0f, 0.0f, 0.0f,
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0.0f, 0.0f, 1.0f, 0.0f,
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0.0f, 0.0f, 0.0f, 1.0f};
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static const qreal doubleIdentity4[] =
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{2.0f, 0.0f, 0.0f, 0.0f,
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0.0f, 2.0f, 0.0f, 0.0f,
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0.0f, 0.0f, 2.0f, 0.0f,
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0.0f, 0.0f, 0.0f, 2.0f};
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static qreal const uniqueValues4[16] =
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{1.0f, 2.0f, 3.0f, 4.0f,
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5.0f, 6.0f, 7.0f, 8.0f,
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9.0f, 10.0f, 11.0f, 12.0f,
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13.0f, 14.0f, 15.0f, 16.0f};
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static qreal const transposedValues4[16] =
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{1.0f, 5.0f, 9.0f, 13.0f,
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2.0f, 6.0f, 10.0f, 14.0f,
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3.0f, 7.0f, 11.0f, 15.0f,
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4.0f, 8.0f, 12.0f, 16.0f};
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static const qreal nullValues4x3[] =
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{0.0f, 0.0f, 0.0f, 0.0f,
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0.0f, 0.0f, 0.0f, 0.0f,
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0.0f, 0.0f, 0.0f, 0.0f};
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static qreal const identityValues4x3[12] =
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{1.0f, 0.0f, 0.0f, 0.0f,
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0.0f, 1.0f, 0.0f, 0.0f,
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0.0f, 0.0f, 1.0f, 0.0f};
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static qreal const doubleIdentity4x3[12] =
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{2.0f, 0.0f, 0.0f, 0.0f,
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0.0f, 2.0f, 0.0f, 0.0f,
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0.0f, 0.0f, 2.0f, 0.0f};
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static qreal const uniqueValues4x3[12] =
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{1.0f, 2.0f, 3.0f, 4.0f,
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5.0f, 6.0f, 7.0f, 8.0f,
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9.0f, 10.0f, 11.0f, 12.0f};
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static qreal const transposedValues3x4[12] =
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{1.0f, 5.0f, 9.0f,
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2.0f, 6.0f, 10.0f,
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3.0f, 7.0f, 11.0f,
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4.0f, 8.0f, 12.0f};
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// Set a matrix to a specified array of values, which are assumed
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// to be in row-major order. This sets the values using floating-point.
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void tst_QMatrixNxN::setMatrix(QMatrix2x2& m, const qreal *values)
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{
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for (int row = 0; row < 2; ++row)
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for (int col = 0; col < 2; ++col)
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m(row, col) = values[row * 2 + col];
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}
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void tst_QMatrixNxN::setMatrix(QMatrix3x3& m, const qreal *values)
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{
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for (int row = 0; row < 3; ++row)
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for (int col = 0; col < 3; ++col)
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m(row, col) = values[row * 3 + col];
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}
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void tst_QMatrixNxN::setMatrix(QMatrix4x4& m, const qreal *values)
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{
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for (int row = 0; row < 4; ++row)
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for (int col = 0; col < 4; ++col)
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m(row, col) = values[row * 4 + col];
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}
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void tst_QMatrixNxN::setMatrix(QMatrix4x3& m, const qreal *values)
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{
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for (int row = 0; row < 3; ++row)
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for (int col = 0; col < 4; ++col)
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m(row, col) = values[row * 4 + col];
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}
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// Set a matrix to a specified array of values, which are assumed
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// to be in row-major order. This sets the values directly into
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// the internal data() array.
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void tst_QMatrixNxN::setMatrixDirect(QMatrix2x2& m, const qreal *values)
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{
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qreal *data = m.data();
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for (int row = 0; row < 2; ++row) {
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for (int col = 0; col < 2; ++col) {
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data[row + col * 2] = values[row * 2 + col];
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}
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}
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}
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void tst_QMatrixNxN::setMatrixDirect(QMatrix3x3& m, const qreal *values)
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{
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qreal *data = m.data();
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for (int row = 0; row < 3; ++row) {
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for (int col = 0; col < 3; ++col) {
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data[row + col * 3] = values[row * 3 + col];
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}
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}
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}
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void tst_QMatrixNxN::setMatrixDirect(QMatrix4x4& m, const qreal *values)
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{
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qreal *data = m.data();
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for (int row = 0; row < 4; ++row) {
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for (int col = 0; col < 4; ++col) {
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data[row + col * 4] = values[row * 4 + col];
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}
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}
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}
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void tst_QMatrixNxN::setMatrixDirect(QMatrix4x3& m, const qreal *values)
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{
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qreal *data = m.data();
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for (int row = 0; row < 3; ++row) {
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for (int col = 0; col < 4; ++col) {
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data[row + col * 3] = values[row * 4 + col];
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}
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}
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}
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// QVector2/3/4D use float internally, which can sometimes lead
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// to precision issues when converting to and from qreal during
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// operations involving QMatrix4x4. This fuzzy compare is slightly
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// "fuzzier" than the default qFuzzyCompare for qreal to compensate.
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static bool fuzzyCompare(qreal x, qreal y)
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{
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return qFuzzyIsNull((float)(x - y));
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}
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static bool fuzzyCompare(const QVector3D &v1, const QVector3D &v2)
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{
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if (!fuzzyCompare(v1.x(), v2.x()))
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return false;
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if (!fuzzyCompare(v1.y(), v2.y()))
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return false;
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if (!fuzzyCompare(v1.z(), v2.z()))
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return false;
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return true;
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}
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// Determine if a matrix is the same as a specified array of values.
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// The values are assumed to be specified in row-major order.
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bool tst_QMatrixNxN::isSame(const QMatrix2x2& m, const qreal *values)
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{
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const qreal *mv = m.constData();
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for (int row = 0; row < 2; ++row) {
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for (int col = 0; col < 2; ++col) {
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// Check the values using the operator() function.
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if (!fuzzyCompare(m(row, col), values[row * 2 + col])) {
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qDebug() << "floating-point failure at" << row << col << "actual =" << m(row, col) << "expected =" << values[row * 2 + col];
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return false;
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}
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// Check the values using direct access, which verifies that the values
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// are stored internally in column-major order.
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if (!fuzzyCompare(mv[col * 2 + row], values[row * 2 + col])) {
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qDebug() << "column floating-point failure at" << row << col << "actual =" << mv[col * 2 + row] << "expected =" << values[row * 2 + col];
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return false;
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}
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}
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}
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return true;
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}
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bool tst_QMatrixNxN::isSame(const QMatrix3x3& m, const qreal *values)
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{
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const qreal *mv = m.constData();
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for (int row = 0; row < 3; ++row) {
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for (int col = 0; col < 3; ++col) {
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// Check the values using the operator() access function.
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if (!fuzzyCompare(m(row, col), values[row * 3 + col])) {
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qDebug() << "floating-point failure at" << row << col << "actual =" << m(row, col) << "expected =" << values[row * 3 + col];
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return false;
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}
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// Check the values using direct access, which verifies that the values
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// are stored internally in column-major order.
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if (!fuzzyCompare(mv[col * 3 + row], values[row * 3 + col])) {
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qDebug() << "column floating-point failure at" << row << col << "actual =" << mv[col * 3 + row] << "expected =" << values[row * 3 + col];
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return false;
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}
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}
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}
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return true;
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}
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bool tst_QMatrixNxN::isSame(const QMatrix4x4& m, const qreal *values)
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{
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const qreal *mv = m.constData();
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for (int row = 0; row < 4; ++row) {
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for (int col = 0; col < 4; ++col) {
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// Check the values using the operator() access function.
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if (!fuzzyCompare(m(row, col), values[row * 4 + col])) {
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qDebug() << "floating-point failure at" << row << col << "actual =" << m(row, col) << "expected =" << values[row * 4 + col];
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return false;
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}
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// Check the values using direct access, which verifies that the values
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// are stored internally in column-major order.
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if (!fuzzyCompare(mv[col * 4 + row], values[row * 4 + col])) {
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qDebug() << "column floating-point failure at" << row << col << "actual =" << mv[col * 4 + row] << "expected =" << values[row * 4 + col];
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return false;
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}
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}
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}
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return true;
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}
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bool tst_QMatrixNxN::isSame(const QMatrix4x3& m, const qreal *values)
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{
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const qreal *mv = m.constData();
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for (int row = 0; row < 3; ++row) {
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for (int col = 0; col < 4; ++col) {
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// Check the values using the operator() access function.
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if (!fuzzyCompare(m(row, col), values[row * 4 + col])) {
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qDebug() << "floating-point failure at" << row << col << "actual =" << m(row, col) << "expected =" << values[row * 4 + col];
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return false;
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}
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// Check the values using direct access, which verifies that the values
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// are stored internally in column-major order.
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if (!fuzzyCompare(mv[col * 3 + row], 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.setToIdentity();
|
|
QVERIFY(isIdentity(m5));
|
|
|
|
QMatrix2x2 m6(uniqueValues2);
|
|
QVERIFY(isSame(m6, uniqueValues2));
|
|
qreal vals[4];
|
|
m6.copyDataTo(vals);
|
|
for (int index = 0; index < 4; ++index)
|
|
QCOMPARE(vals[index], 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.setToIdentity();
|
|
QVERIFY(isIdentity(m5));
|
|
|
|
QMatrix3x3 m6(uniqueValues3);
|
|
QVERIFY(isSame(m6, uniqueValues3));
|
|
qreal vals[9];
|
|
m6.copyDataTo(vals);
|
|
for (int index = 0; index < 9; ++index)
|
|
QCOMPARE(vals[index], 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.setToIdentity();
|
|
QVERIFY(isIdentity(m5));
|
|
|
|
QMatrix4x4 m6(uniqueValues4);
|
|
QVERIFY(isSame(m6, uniqueValues4));
|
|
qreal vals[16];
|
|
m6.copyDataTo(vals);
|
|
for (int index = 0; index < 16; ++index)
|
|
QCOMPARE(vals[index], 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.setToIdentity();
|
|
QVERIFY(isIdentity(m5));
|
|
|
|
QMatrix4x3 m6(uniqueValues4x3);
|
|
QVERIFY(isSame(m6, uniqueValues4x3));
|
|
qreal vals[12];
|
|
m6.copyDataTo(vals);
|
|
for (int index = 0; index < 12; ++index)
|
|
QCOMPARE(vals[index], 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.copyDataTo(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> m4;
|
|
m4 = m1 * m2;
|
|
qreal values[9];
|
|
m4.copyDataTo(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 invertible2 = {
|
|
{1.0f, 2.0f, 4.0f, 2.0f,
|
|
8.0f, 3.0f, 5.0f, 3.0f,
|
|
6.0f, 7.0f, 9.0f, 4.0f,
|
|
0.0f, 0.0f, 0.0f, 1.0f}
|
|
};
|
|
static Matrix4 inverted2;
|
|
m4Inverse(invertible2, inverted2);
|
|
|
|
QTest::newRow("invertible2")
|
|
<< (void *)invertible2.v << (void *)inverted2.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(m1.determinant(), 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.optimize();
|
|
m2 = m1.inverted(&inv);
|
|
QVERIFY(isSame(m2, (const qreal *)m2Values));
|
|
QCOMPARE(inv, invertible);
|
|
}
|
|
|
|
void tst_QMatrixNxN::orthonormalInverse4x4()
|
|
{
|
|
QMatrix4x4 m1;
|
|
QVERIFY(qFuzzyCompare(m1.inverted(), m1));
|
|
|
|
QMatrix4x4 m2;
|
|
m2.rotate(45.0, 1.0, 0.0, 0.0);
|
|
m2.translate(10.0, 0.0, 0.0);
|
|
|
|
// Use operator() 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(0, 0);
|
|
bool invertible;
|
|
QVERIFY(qFuzzyCompare(m2.inverted(&invertible), m3.inverted()));
|
|
QVERIFY(invertible);
|
|
|
|
QMatrix4x4 m4;
|
|
m4.rotate(45.0, 0.0, 1.0, 0.0);
|
|
QMatrix4x4 m5 = m4;
|
|
m5(0, 0);
|
|
QVERIFY(qFuzzyCompare(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(0, 0);
|
|
QVERIFY(qFuzzyCompare(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.optimize();
|
|
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(qFuzzyCompare(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(p4.x(), p1x));
|
|
QVERIFY(fuzzyCompare(p4.y(), p1y));
|
|
|
|
if (x != 0 || y != 0 || z != 0) {
|
|
QQuaternion q = QQuaternion::fromAxisAndAngle(QVector3D(x, y, z), angle);
|
|
QVector3D vq = q.rotatedVector(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 rotateValues[16] =
|
|
{0.0f, 0.0f, 1.0f, 0.0f,
|
|
1.0f, 0.0f, 0.0f, 0.0f,
|
|
0.0f, 1.0f, 0.0f, 0.0f,
|
|
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("rotate") << (void *)rotateValues;
|
|
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.optimize();
|
|
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
|
|
};
|
|
QMatrix4x4 m4(m1);
|
|
QVERIFY(isSame(m4, unique4x4));
|
|
|
|
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);
|
|
|
|
QMatrix4x3 m10 = m9.toGenericMatrix<4, 3>();
|
|
QVERIFY(isSame(m10, conv4x4));
|
|
|
|
QMatrix4x3 m11 = qGenericMatrixFromMatrix4x4<4, 3>(m9);
|
|
QVERIFY(isSame(m11, conv4x4));
|
|
}
|
|
|
|
// Copy of "flagBits" in qmatrix4x4.h.
|
|
enum {
|
|
Identity = 0x0000, // Identity matrix
|
|
Translation = 0x0001, // Contains a translation
|
|
Scale = 0x0002, // Contains a scale
|
|
Rotation2D = 0x0004, // Contains a rotation about the Z axis
|
|
Rotation = 0x0008, // Contains an arbitrary rotation
|
|
Perspective = 0x0010, // Last row is different from (0, 0, 0, 1)
|
|
General = 0x001f // General matrix, unknown contents
|
|
};
|
|
|
|
// Structure that allows direct access to "flagBits" for testing.
|
|
struct Matrix4x4
|
|
{
|
|
qreal m[4][4];
|
|
int flagBits;
|
|
};
|
|
|
|
// Test the inferring of special matrix types.
|
|
void tst_QMatrixNxN::optimize_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("translate")
|
|
<< (void *)translateValues << (int)Translation;
|
|
|
|
static qreal scaleTranslateValues[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("scaleTranslate")
|
|
<< (void *)scaleTranslateValues << (int)(Scale | Translation);
|
|
|
|
static qreal rotateValues[16] = {
|
|
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("rotate")
|
|
<< (void *)rotateValues << (int)Rotation2D;
|
|
|
|
// Left-handed system, not a simple rotation.
|
|
static qreal scaleRotateValues[16] = {
|
|
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("scaleRotate")
|
|
<< (void *)scaleRotateValues << (int)(Scale | Rotation2D);
|
|
|
|
static qreal matrix2x2Values[16] = {
|
|
1.0f, 2.0f, 0.0f, 0.0f,
|
|
8.0f, 3.0f, 0.0f, 0.0f,
|
|
0.0f, 0.0f, 9.0f, 0.0f,
|
|
0.0f, 0.0f, 0.0f, 1.0f
|
|
};
|
|
QTest::newRow("matrix2x2")
|
|
<< (void *)matrix2x2Values << (int)(Scale | Rotation2D);
|
|
|
|
static qreal matrix3x3Values[16] = {
|
|
1.0f, 2.0f, 4.0f, 0.0f,
|
|
8.0f, 3.0f, 5.0f, 0.0f,
|
|
6.0f, 7.0f, 9.0f, 0.0f,
|
|
0.0f, 0.0f, 0.0f, 1.0f
|
|
};
|
|
QTest::newRow("matrix3x3")
|
|
<< (void *)matrix3x3Values << (int)(Scale | Rotation2D | Rotation);
|
|
|
|
static qreal rotateTranslateValues[16] = {
|
|
0.0f, 1.0f, 0.0f, 1.0f,
|
|
-1.0f, 0.0f, 0.0f, 2.0f,
|
|
0.0f, 0.0f, 1.0f, 3.0f,
|
|
0.0f, 0.0f, 0.0f, 1.0f
|
|
};
|
|
QTest::newRow("rotateTranslate")
|
|
<< (void *)rotateTranslateValues << (int)(Translation | Rotation2D);
|
|
|
|
// Left-handed system, not a simple rotation.
|
|
static qreal scaleRotateTranslateValues[16] = {
|
|
0.0f, 1.0f, 0.0f, 1.0f,
|
|
1.0f, 0.0f, 0.0f, 2.0f,
|
|
0.0f, 0.0f, 1.0f, 3.0f,
|
|
0.0f, 0.0f, 0.0f, 1.0f
|
|
};
|
|
QTest::newRow("scaleRotateTranslate")
|
|
<< (void *)scaleRotateTranslateValues << (int)(Translation | Scale | Rotation2D);
|
|
|
|
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::optimize()
|
|
{
|
|
QFETCH(void *, mValues);
|
|
QFETCH(int, flagBits);
|
|
|
|
QMatrix4x4 m((const qreal *)mValues);
|
|
m.optimize();
|
|
|
|
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()));
|
|
QVERIFY(fuzzyCompare(p5.y(), p6.y()));
|
|
|
|
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()));
|
|
QVERIFY(fuzzyCompare(p5.y(), p6.y()));
|
|
|
|
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);
|
|
}
|
|
|
|
void tst_QMatrixNxN::mapVector_data()
|
|
{
|
|
QTest::addColumn<void *>("mValues");
|
|
|
|
QTest::newRow("null")
|
|
<< (void *)nullValues4;
|
|
|
|
QTest::newRow("identity")
|
|
<< (void *)identityValues4;
|
|
|
|
QTest::newRow("unique")
|
|
<< (void *)uniqueValues4;
|
|
|
|
static const qreal scale[] =
|
|
{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("scale")
|
|
<< (void *)scale;
|
|
|
|
static const qreal scaleTranslate[] =
|
|
{2.0f, 0.0f, 0.0f, 1.0f,
|
|
0.0f, 11.0f, 0.0f, 2.0f,
|
|
0.0f, 0.0f, -6.5f, 3.0f,
|
|
0.0f, 0.0f, 0.0f, 1.0f};
|
|
QTest::newRow("scaleTranslate")
|
|
<< (void *)scaleTranslate;
|
|
|
|
static const qreal translate[] =
|
|
{1.0f, 0.0f, 0.0f, 1.0f,
|
|
0.0f, 1.0f, 0.0f, 2.0f,
|
|
0.0f, 0.0f, 1.0f, 3.0f,
|
|
0.0f, 0.0f, 0.0f, 1.0f};
|
|
QTest::newRow("translate")
|
|
<< (void *)translate;
|
|
}
|
|
void tst_QMatrixNxN::mapVector()
|
|
{
|
|
QFETCH(void *, mValues);
|
|
|
|
QMatrix4x4 m1((const qreal *)mValues);
|
|
|
|
QVector3D v(3.5f, -1.0f, 2.5f);
|
|
|
|
QVector3D expected
|
|
(v.x() * m1(0, 0) + v.y() * m1(0, 1) + v.z() * m1(0, 2),
|
|
v.x() * m1(1, 0) + v.y() * m1(1, 1) + v.z() * m1(1, 2),
|
|
v.x() * m1(2, 0) + v.y() * m1(2, 1) + v.z() * m1(2, 2));
|
|
|
|
QVector3D actual = m1.mapVector(v);
|
|
m1.optimize();
|
|
QVector3D actual2 = m1.mapVector(v);
|
|
|
|
QVERIFY(fuzzyCompare(actual.x(), expected.x()));
|
|
QVERIFY(fuzzyCompare(actual.y(), expected.y()));
|
|
QVERIFY(fuzzyCompare(actual.z(), expected.z()));
|
|
QVERIFY(fuzzyCompare(actual2.x(), expected.x()));
|
|
QVERIFY(fuzzyCompare(actual2.y(), expected.y()));
|
|
QVERIFY(fuzzyCompare(actual2.z(), expected.z()));
|
|
}
|
|
|
|
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"
|