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-/****************************************************************************
-**
-** Copyright (C) 2010 Nokia Corporation and/or its subsidiary(-ies).
-** All rights reserved.
-** Contact: Nokia Corporation (qt-info@nokia.com)
-**
-** This file is part of the QtGui module of the Qt Toolkit.
-**
-** $QT_BEGIN_LICENSE:LGPL$
-** Commercial Usage
-** Licensees holding valid Qt Commercial licenses may use this file in
-** accordance with the Qt Commercial License Agreement provided with the
-** Software or, alternatively, in accordance with the terms contained in
-** a written agreement between you and Nokia.
-**
-** GNU Lesser General Public License Usage
-** Alternatively, this file may be used under the terms of the GNU Lesser
-** General Public License version 2.1 as published by the Free Software
-** Foundation and appearing in the file LICENSE.LGPL included in the
-** packaging of this file. Please review the following information to
-** ensure the GNU Lesser General Public License version 2.1 requirements
-** will be met: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html.
-**
-** In addition, as a special exception, Nokia gives you certain additional
-** rights. These rights are described in the Nokia Qt LGPL Exception
-** version 1.1, included in the file LGPL_EXCEPTION.txt in this package.
-**
-** GNU General Public License Usage
-** Alternatively, this file may be used under the terms of the GNU
-** General Public License version 3.0 as published by the Free Software
-** Foundation and appearing in the file LICENSE.GPL included in the
-** packaging of this file. Please review the following information to
-** ensure the GNU General Public License version 3.0 requirements will be
-** met: http://www.gnu.org/copyleft/gpl.html.
-**
-** If you have questions regarding the use of this file, please contact
-** Nokia at qt-info@nokia.com.
-** $QT_END_LICENSE$
-**
-****************************************************************************/
-
-#ifndef QMATRIX4X4_H
-#define QMATRIX4X4_H
-
-#include <QtGui/qvector3d.h>
-#include <QtGui/qvector4d.h>
-#include <QtGui/qquaternion.h>
-#include <QtGui/qgenericmatrix.h>
-#include <QtCore/qrect.h>
-
-QT_BEGIN_HEADER
-
-QT_BEGIN_NAMESPACE
-
-QT_MODULE(Gui)
-
-#ifndef QT_NO_MATRIX4X4
-
-class QMatrix;
-class QTransform;
-class QVariant;
-
-class Q_GUI_EXPORT QMatrix4x4
-{
-public:
- inline QMatrix4x4() { setToIdentity(); }
- explicit QMatrix4x4(const qreal *values);
- inline QMatrix4x4(qreal m11, qreal m12, qreal m13, qreal m14,
- qreal m21, qreal m22, qreal m23, qreal m24,
- qreal m31, qreal m32, qreal m33, qreal m34,
- qreal m41, qreal m42, qreal m43, qreal m44);
-#if !defined(QT_NO_MEMBER_TEMPLATES) || defined(Q_QDOC)
- template <int N, int M>
- explicit QMatrix4x4(const QGenericMatrix<N, M, qreal>& matrix);
-#endif
- QMatrix4x4(const qreal *values, int cols, int rows);
- QMatrix4x4(const QTransform& transform);
- QMatrix4x4(const QMatrix& matrix);
-
- inline const qreal& operator()(int row, int column) const;
- inline qreal& operator()(int row, int column);
-
- inline QVector4D column(int index) const;
- inline void setColumn(int index, const QVector4D& value);
-
- inline QVector4D row(int index) const;
- inline void setRow(int index, const QVector4D& value);
-
- inline bool isIdentity() const;
- inline void setToIdentity();
-
- inline void fill(qreal value);
-
- qreal determinant() const;
- QMatrix4x4 inverted(bool *invertible = 0) const;
- QMatrix4x4 transposed() const;
- QMatrix3x3 normalMatrix() const;
-
- inline QMatrix4x4& operator+=(const QMatrix4x4& other);
- inline QMatrix4x4& operator-=(const QMatrix4x4& other);
- inline QMatrix4x4& operator*=(const QMatrix4x4& other);
- inline QMatrix4x4& operator*=(qreal factor);
- QMatrix4x4& operator/=(qreal divisor);
- inline bool operator==(const QMatrix4x4& other) const;
- inline bool operator!=(const QMatrix4x4& other) const;
-
- friend QMatrix4x4 operator+(const QMatrix4x4& m1, const QMatrix4x4& m2);
- friend QMatrix4x4 operator-(const QMatrix4x4& m1, const QMatrix4x4& m2);
- friend QMatrix4x4 operator*(const QMatrix4x4& m1, const QMatrix4x4& m2);
-#ifndef QT_NO_VECTOR3D
- friend QVector3D operator*(const QMatrix4x4& matrix, const QVector3D& vector);
- friend QVector3D operator*(const QVector3D& vector, const QMatrix4x4& matrix);
-#endif
-#ifndef QT_NO_VECTOR4D
- friend QVector4D operator*(const QVector4D& vector, const QMatrix4x4& matrix);
- friend QVector4D operator*(const QMatrix4x4& matrix, const QVector4D& vector);
-#endif
- friend QPoint operator*(const QPoint& point, const QMatrix4x4& matrix);
- friend QPointF operator*(const QPointF& point, const QMatrix4x4& matrix);
- friend QMatrix4x4 operator-(const QMatrix4x4& matrix);
- friend QPoint operator*(const QMatrix4x4& matrix, const QPoint& point);
- friend QPointF operator*(const QMatrix4x4& matrix, const QPointF& point);
- friend QMatrix4x4 operator*(qreal factor, const QMatrix4x4& matrix);
- friend QMatrix4x4 operator*(const QMatrix4x4& matrix, qreal factor);
- friend Q_GUI_EXPORT QMatrix4x4 operator/(const QMatrix4x4& matrix, qreal divisor);
-
- friend inline bool qFuzzyCompare(const QMatrix4x4& m1, const QMatrix4x4& m2);
-
-#ifndef QT_NO_VECTOR3D
- void scale(const QVector3D& vector);
- void translate(const QVector3D& vector);
- void rotate(qreal angle, const QVector3D& vector);
-#endif
- void scale(qreal x, qreal y);
- void scale(qreal x, qreal y, qreal z);
- void scale(qreal factor);
- void translate(qreal x, qreal y);
- void translate(qreal x, qreal y, qreal z);
- void rotate(qreal angle, qreal x, qreal y, qreal z = 0.0f);
-#ifndef QT_NO_QUATERNION
- void rotate(const QQuaternion& quaternion);
-#endif
-
- void ortho(const QRect& rect);
- void ortho(const QRectF& rect);
- void ortho(qreal left, qreal right, qreal bottom, qreal top, qreal nearPlane, qreal farPlane);
- void frustum(qreal left, qreal right, qreal bottom, qreal top, qreal nearPlane, qreal farPlane);
- void perspective(qreal angle, qreal aspect, qreal nearPlane, qreal farPlane);
-#ifndef QT_NO_VECTOR3D
- void lookAt(const QVector3D& eye, const QVector3D& center, const QVector3D& up);
-#endif
- void flipCoordinates();
-
- void copyDataTo(qreal *values) const;
-
- QMatrix toAffine() const;
- QTransform toTransform() const;
- QTransform toTransform(qreal distanceToPlane) const;
-
- QPoint map(const QPoint& point) const;
- QPointF map(const QPointF& point) const;
-#ifndef QT_NO_VECTOR3D
- QVector3D map(const QVector3D& point) const;
- QVector3D mapVector(const QVector3D& vector) const;
-#endif
-#ifndef QT_NO_VECTOR4D
- QVector4D map(const QVector4D& point) const;
-#endif
- QRect mapRect(const QRect& rect) const;
- QRectF mapRect(const QRectF& rect) const;
-
-#if !defined(QT_NO_MEMBER_TEMPLATES) || defined(Q_QDOC)
- template <int N, int M>
- QGenericMatrix<N, M, qreal> toGenericMatrix() const;
-#endif
-
- inline qreal *data();
- inline const qreal *data() const { return m[0]; }
- inline const qreal *constData() const { return m[0]; }
-
- void optimize();
-
- operator QVariant() const;
-
-#ifndef QT_NO_DEBUG_STREAM
- friend Q_GUI_EXPORT QDebug operator<<(QDebug dbg, const QMatrix4x4 &m);
-#endif
-
-private:
- qreal m[4][4]; // Column-major order to match OpenGL.
- int flagBits; // Flag bits from the enum below.
-
- enum {
- Identity = 0x0001, // Identity matrix
- General = 0x0002, // General matrix, unknown contents
- Translation = 0x0004, // Contains a simple translation
- Scale = 0x0008, // Contains a simple scale
- Rotation = 0x0010 // Contains a simple rotation
- };
-
- // Construct without initializing identity matrix.
- QMatrix4x4(int) { flagBits = General; }
-
- QMatrix4x4 orthonormalInverse() const;
-
- void projectedRotate(qreal angle, qreal x, qreal y, qreal z);
-
- friend class QGraphicsRotation;
-};
-
-inline QMatrix4x4::QMatrix4x4
- (qreal m11, qreal m12, qreal m13, qreal m14,
- qreal m21, qreal m22, qreal m23, qreal m24,
- qreal m31, qreal m32, qreal m33, qreal m34,
- qreal m41, qreal m42, qreal m43, qreal m44)
-{
- m[0][0] = m11; m[0][1] = m21; m[0][2] = m31; m[0][3] = m41;
- m[1][0] = m12; m[1][1] = m22; m[1][2] = m32; m[1][3] = m42;
- m[2][0] = m13; m[2][1] = m23; m[2][2] = m33; m[2][3] = m43;
- m[3][0] = m14; m[3][1] = m24; m[3][2] = m34; m[3][3] = m44;
- flagBits = General;
-}
-
-#if !defined(QT_NO_MEMBER_TEMPLATES)
-
-template <int N, int M>
-Q_INLINE_TEMPLATE QMatrix4x4::QMatrix4x4
- (const QGenericMatrix<N, M, qreal>& matrix)
-{
- const qreal *values = matrix.constData();
- for (int matrixCol = 0; matrixCol < 4; ++matrixCol) {
- for (int matrixRow = 0; matrixRow < 4; ++matrixRow) {
- if (matrixCol < N && matrixRow < M)
- m[matrixCol][matrixRow] = values[matrixCol * M + matrixRow];
- else if (matrixCol == matrixRow)
- m[matrixCol][matrixRow] = 1.0f;
- else
- m[matrixCol][matrixRow] = 0.0f;
- }
- }
- flagBits = General;
-}
-
-template <int N, int M>
-QGenericMatrix<N, M, qreal> QMatrix4x4::toGenericMatrix() const
-{
- QGenericMatrix<N, M, qreal> result;
- qreal *values = result.data();
- for (int matrixCol = 0; matrixCol < N; ++matrixCol) {
- for (int matrixRow = 0; matrixRow < M; ++matrixRow) {
- if (matrixCol < 4 && matrixRow < 4)
- values[matrixCol * M + matrixRow] = m[matrixCol][matrixRow];
- else if (matrixCol == matrixRow)
- values[matrixCol * M + matrixRow] = 1.0f;
- else
- values[matrixCol * M + matrixRow] = 0.0f;
- }
- }
- return result;
-}
-
-#endif
-
-inline const qreal& QMatrix4x4::operator()(int aRow, int aColumn) const
-{
- Q_ASSERT(aRow >= 0 && aRow < 4 && aColumn >= 0 && aColumn < 4);
- return m[aColumn][aRow];
-}
-
-inline qreal& QMatrix4x4::operator()(int aRow, int aColumn)
-{
- Q_ASSERT(aRow >= 0 && aRow < 4 && aColumn >= 0 && aColumn < 4);
- flagBits = General;
- return m[aColumn][aRow];
-}
-
-inline QVector4D QMatrix4x4::column(int index) const
-{
- Q_ASSERT(index >= 0 && index < 4);
- return QVector4D(m[index][0], m[index][1], m[index][2], m[index][3]);
-}
-
-inline void QMatrix4x4::setColumn(int index, const QVector4D& value)
-{
- Q_ASSERT(index >= 0 && index < 4);
- m[index][0] = value.x();
- m[index][1] = value.y();
- m[index][2] = value.z();
- m[index][3] = value.w();
- flagBits = General;
-}
-
-inline QVector4D QMatrix4x4::row(int index) const
-{
- Q_ASSERT(index >= 0 && index < 4);
- return QVector4D(m[0][index], m[1][index], m[2][index], m[3][index]);
-}
-
-inline void QMatrix4x4::setRow(int index, const QVector4D& value)
-{
- Q_ASSERT(index >= 0 && index < 4);
- m[0][index] = value.x();
- m[1][index] = value.y();
- m[2][index] = value.z();
- m[3][index] = value.w();
- flagBits = General;
-}
-
-Q_GUI_EXPORT QMatrix4x4 operator/(const QMatrix4x4& matrix, qreal divisor);
-
-inline bool QMatrix4x4::isIdentity() const
-{
- if (flagBits == Identity)
- return true;
- if (m[0][0] != 1.0f || m[0][1] != 0.0f || m[0][2] != 0.0f)
- return false;
- if (m[0][3] != 0.0f || m[1][0] != 0.0f || m[1][1] != 1.0f)
- return false;
- if (m[1][2] != 0.0f || m[1][3] != 0.0f || m[2][0] != 0.0f)
- return false;
- if (m[2][1] != 0.0f || m[2][2] != 1.0f || m[2][3] != 0.0f)
- return false;
- if (m[3][0] != 0.0f || m[3][1] != 0.0f || m[3][2] != 0.0f)
- return false;
- return (m[3][3] == 1.0f);
-}
-
-inline void QMatrix4x4::setToIdentity()
-{
- m[0][0] = 1.0f;
- m[0][1] = 0.0f;
- m[0][2] = 0.0f;
- m[0][3] = 0.0f;
- m[1][0] = 0.0f;
- m[1][1] = 1.0f;
- m[1][2] = 0.0f;
- m[1][3] = 0.0f;
- m[2][0] = 0.0f;
- m[2][1] = 0.0f;
- m[2][2] = 1.0f;
- m[2][3] = 0.0f;
- m[3][0] = 0.0f;
- m[3][1] = 0.0f;
- m[3][2] = 0.0f;
- m[3][3] = 1.0f;
- flagBits = Identity;
-}
-
-inline void QMatrix4x4::fill(qreal value)
-{
- m[0][0] = value;
- m[0][1] = value;
- m[0][2] = value;
- m[0][3] = value;
- m[1][0] = value;
- m[1][1] = value;
- m[1][2] = value;
- m[1][3] = value;
- m[2][0] = value;
- m[2][1] = value;
- m[2][2] = value;
- m[2][3] = value;
- m[3][0] = value;
- m[3][1] = value;
- m[3][2] = value;
- m[3][3] = value;
- flagBits = General;
-}
-
-inline QMatrix4x4& QMatrix4x4::operator+=(const QMatrix4x4& other)
-{
- m[0][0] += other.m[0][0];
- m[0][1] += other.m[0][1];
- m[0][2] += other.m[0][2];
- m[0][3] += other.m[0][3];
- m[1][0] += other.m[1][0];
- m[1][1] += other.m[1][1];
- m[1][2] += other.m[1][2];
- m[1][3] += other.m[1][3];
- m[2][0] += other.m[2][0];
- m[2][1] += other.m[2][1];
- m[2][2] += other.m[2][2];
- m[2][3] += other.m[2][3];
- m[3][0] += other.m[3][0];
- m[3][1] += other.m[3][1];
- m[3][2] += other.m[3][2];
- m[3][3] += other.m[3][3];
- flagBits = General;
- return *this;
-}
-
-inline QMatrix4x4& QMatrix4x4::operator-=(const QMatrix4x4& other)
-{
- m[0][0] -= other.m[0][0];
- m[0][1] -= other.m[0][1];
- m[0][2] -= other.m[0][2];
- m[0][3] -= other.m[0][3];
- m[1][0] -= other.m[1][0];
- m[1][1] -= other.m[1][1];
- m[1][2] -= other.m[1][2];
- m[1][3] -= other.m[1][3];
- m[2][0] -= other.m[2][0];
- m[2][1] -= other.m[2][1];
- m[2][2] -= other.m[2][2];
- m[2][3] -= other.m[2][3];
- m[3][0] -= other.m[3][0];
- m[3][1] -= other.m[3][1];
- m[3][2] -= other.m[3][2];
- m[3][3] -= other.m[3][3];
- flagBits = General;
- return *this;
-}
-
-inline QMatrix4x4& QMatrix4x4::operator*=(const QMatrix4x4& other)
-{
- if (flagBits == Identity) {
- *this = other;
- return *this;
- } else if (other.flagBits == Identity) {
- return *this;
- } else {
- *this = *this * other;
- return *this;
- }
-}
-
-inline QMatrix4x4& QMatrix4x4::operator*=(qreal factor)
-{
- m[0][0] *= factor;
- m[0][1] *= factor;
- m[0][2] *= factor;
- m[0][3] *= factor;
- m[1][0] *= factor;
- m[1][1] *= factor;
- m[1][2] *= factor;
- m[1][3] *= factor;
- m[2][0] *= factor;
- m[2][1] *= factor;
- m[2][2] *= factor;
- m[2][3] *= factor;
- m[3][0] *= factor;
- m[3][1] *= factor;
- m[3][2] *= factor;
- m[3][3] *= factor;
- flagBits = General;
- return *this;
-}
-
-inline bool QMatrix4x4::operator==(const QMatrix4x4& other) const
-{
- return m[0][0] == other.m[0][0] &&
- m[0][1] == other.m[0][1] &&
- m[0][2] == other.m[0][2] &&
- m[0][3] == other.m[0][3] &&
- m[1][0] == other.m[1][0] &&
- m[1][1] == other.m[1][1] &&
- m[1][2] == other.m[1][2] &&
- m[1][3] == other.m[1][3] &&
- m[2][0] == other.m[2][0] &&
- m[2][1] == other.m[2][1] &&
- m[2][2] == other.m[2][2] &&
- m[2][3] == other.m[2][3] &&
- m[3][0] == other.m[3][0] &&
- m[3][1] == other.m[3][1] &&
- m[3][2] == other.m[3][2] &&
- m[3][3] == other.m[3][3];
-}
-
-inline bool QMatrix4x4::operator!=(const QMatrix4x4& other) const
-{
- return m[0][0] != other.m[0][0] ||
- m[0][1] != other.m[0][1] ||
- m[0][2] != other.m[0][2] ||
- m[0][3] != other.m[0][3] ||
- m[1][0] != other.m[1][0] ||
- m[1][1] != other.m[1][1] ||
- m[1][2] != other.m[1][2] ||
- m[1][3] != other.m[1][3] ||
- m[2][0] != other.m[2][0] ||
- m[2][1] != other.m[2][1] ||
- m[2][2] != other.m[2][2] ||
- m[2][3] != other.m[2][3] ||
- m[3][0] != other.m[3][0] ||
- m[3][1] != other.m[3][1] ||
- m[3][2] != other.m[3][2] ||
- m[3][3] != other.m[3][3];
-}
-
-inline QMatrix4x4 operator+(const QMatrix4x4& m1, const QMatrix4x4& m2)
-{
- QMatrix4x4 m(1);
- m.m[0][0] = m1.m[0][0] + m2.m[0][0];
- m.m[0][1] = m1.m[0][1] + m2.m[0][1];
- m.m[0][2] = m1.m[0][2] + m2.m[0][2];
- m.m[0][3] = m1.m[0][3] + m2.m[0][3];
- m.m[1][0] = m1.m[1][0] + m2.m[1][0];
- m.m[1][1] = m1.m[1][1] + m2.m[1][1];
- m.m[1][2] = m1.m[1][2] + m2.m[1][2];
- m.m[1][3] = m1.m[1][3] + m2.m[1][3];
- m.m[2][0] = m1.m[2][0] + m2.m[2][0];
- m.m[2][1] = m1.m[2][1] + m2.m[2][1];
- m.m[2][2] = m1.m[2][2] + m2.m[2][2];
- m.m[2][3] = m1.m[2][3] + m2.m[2][3];
- m.m[3][0] = m1.m[3][0] + m2.m[3][0];
- m.m[3][1] = m1.m[3][1] + m2.m[3][1];
- m.m[3][2] = m1.m[3][2] + m2.m[3][2];
- m.m[3][3] = m1.m[3][3] + m2.m[3][3];
- return m;
-}
-
-inline QMatrix4x4 operator-(const QMatrix4x4& m1, const QMatrix4x4& m2)
-{
- QMatrix4x4 m(1);
- m.m[0][0] = m1.m[0][0] - m2.m[0][0];
- m.m[0][1] = m1.m[0][1] - m2.m[0][1];
- m.m[0][2] = m1.m[0][2] - m2.m[0][2];
- m.m[0][3] = m1.m[0][3] - m2.m[0][3];
- m.m[1][0] = m1.m[1][0] - m2.m[1][0];
- m.m[1][1] = m1.m[1][1] - m2.m[1][1];
- m.m[1][2] = m1.m[1][2] - m2.m[1][2];
- m.m[1][3] = m1.m[1][3] - m2.m[1][3];
- m.m[2][0] = m1.m[2][0] - m2.m[2][0];
- m.m[2][1] = m1.m[2][1] - m2.m[2][1];
- m.m[2][2] = m1.m[2][2] - m2.m[2][2];
- m.m[2][3] = m1.m[2][3] - m2.m[2][3];
- m.m[3][0] = m1.m[3][0] - m2.m[3][0];
- m.m[3][1] = m1.m[3][1] - m2.m[3][1];
- m.m[3][2] = m1.m[3][2] - m2.m[3][2];
- m.m[3][3] = m1.m[3][3] - m2.m[3][3];
- return m;
-}
-
-inline QMatrix4x4 operator*(const QMatrix4x4& m1, const QMatrix4x4& m2)
-{
- if (m1.flagBits == QMatrix4x4::Identity)
- return m2;
- else if (m2.flagBits == QMatrix4x4::Identity)
- return m1;
-
- QMatrix4x4 m(1);
- m.m[0][0] = m1.m[0][0] * m2.m[0][0] +
- m1.m[1][0] * m2.m[0][1] +
- m1.m[2][0] * m2.m[0][2] +
- m1.m[3][0] * m2.m[0][3];
- m.m[0][1] = m1.m[0][1] * m2.m[0][0] +
- m1.m[1][1] * m2.m[0][1] +
- m1.m[2][1] * m2.m[0][2] +
- m1.m[3][1] * m2.m[0][3];
- m.m[0][2] = m1.m[0][2] * m2.m[0][0] +
- m1.m[1][2] * m2.m[0][1] +
- m1.m[2][2] * m2.m[0][2] +
- m1.m[3][2] * m2.m[0][3];
- m.m[0][3] = m1.m[0][3] * m2.m[0][0] +
- m1.m[1][3] * m2.m[0][1] +
- m1.m[2][3] * m2.m[0][2] +
- m1.m[3][3] * m2.m[0][3];
- m.m[1][0] = m1.m[0][0] * m2.m[1][0] +
- m1.m[1][0] * m2.m[1][1] +
- m1.m[2][0] * m2.m[1][2] +
- m1.m[3][0] * m2.m[1][3];
- m.m[1][1] = m1.m[0][1] * m2.m[1][0] +
- m1.m[1][1] * m2.m[1][1] +
- m1.m[2][1] * m2.m[1][2] +
- m1.m[3][1] * m2.m[1][3];
- m.m[1][2] = m1.m[0][2] * m2.m[1][0] +
- m1.m[1][2] * m2.m[1][1] +
- m1.m[2][2] * m2.m[1][2] +
- m1.m[3][2] * m2.m[1][3];
- m.m[1][3] = m1.m[0][3] * m2.m[1][0] +
- m1.m[1][3] * m2.m[1][1] +
- m1.m[2][3] * m2.m[1][2] +
- m1.m[3][3] * m2.m[1][3];
- m.m[2][0] = m1.m[0][0] * m2.m[2][0] +
- m1.m[1][0] * m2.m[2][1] +
- m1.m[2][0] * m2.m[2][2] +
- m1.m[3][0] * m2.m[2][3];
- m.m[2][1] = m1.m[0][1] * m2.m[2][0] +
- m1.m[1][1] * m2.m[2][1] +
- m1.m[2][1] * m2.m[2][2] +
- m1.m[3][1] * m2.m[2][3];
- m.m[2][2] = m1.m[0][2] * m2.m[2][0] +
- m1.m[1][2] * m2.m[2][1] +
- m1.m[2][2] * m2.m[2][2] +
- m1.m[3][2] * m2.m[2][3];
- m.m[2][3] = m1.m[0][3] * m2.m[2][0] +
- m1.m[1][3] * m2.m[2][1] +
- m1.m[2][3] * m2.m[2][2] +
- m1.m[3][3] * m2.m[2][3];
- m.m[3][0] = m1.m[0][0] * m2.m[3][0] +
- m1.m[1][0] * m2.m[3][1] +
- m1.m[2][0] * m2.m[3][2] +
- m1.m[3][0] * m2.m[3][3];
- m.m[3][1] = m1.m[0][1] * m2.m[3][0] +
- m1.m[1][1] * m2.m[3][1] +
- m1.m[2][1] * m2.m[3][2] +
- m1.m[3][1] * m2.m[3][3];
- m.m[3][2] = m1.m[0][2] * m2.m[3][0] +
- m1.m[1][2] * m2.m[3][1] +
- m1.m[2][2] * m2.m[3][2] +
- m1.m[3][2] * m2.m[3][3];
- m.m[3][3] = m1.m[0][3] * m2.m[3][0] +
- m1.m[1][3] * m2.m[3][1] +
- m1.m[2][3] * m2.m[3][2] +
- m1.m[3][3] * m2.m[3][3];
- return m;
-}
-
-#ifndef QT_NO_VECTOR3D
-
-inline QVector3D operator*(const QVector3D& vector, const QMatrix4x4& matrix)
-{
- qreal x, y, z, w;
- x = vector.x() * matrix.m[0][0] +
- vector.y() * matrix.m[0][1] +
- vector.z() * matrix.m[0][2] +
- matrix.m[0][3];
- y = vector.x() * matrix.m[1][0] +
- vector.y() * matrix.m[1][1] +
- vector.z() * matrix.m[1][2] +
- matrix.m[1][3];
- z = vector.x() * matrix.m[2][0] +
- vector.y() * matrix.m[2][1] +
- vector.z() * matrix.m[2][2] +
- matrix.m[2][3];
- w = vector.x() * matrix.m[3][0] +
- vector.y() * matrix.m[3][1] +
- vector.z() * matrix.m[3][2] +
- matrix.m[3][3];
- if (w == 1.0f)
- return QVector3D(x, y, z);
- else
- return QVector3D(x / w, y / w, z / w);
-}
-
-inline QVector3D operator*(const QMatrix4x4& matrix, const QVector3D& vector)
-{
- qreal x, y, z, w;
- if (matrix.flagBits == QMatrix4x4::Identity) {
- return vector;
- } else if (matrix.flagBits == QMatrix4x4::Translation) {
- return QVector3D(vector.x() + matrix.m[3][0],
- vector.y() + matrix.m[3][1],
- vector.z() + matrix.m[3][2]);
- } else if (matrix.flagBits ==
- (QMatrix4x4::Translation | QMatrix4x4::Scale)) {
- return QVector3D(vector.x() * matrix.m[0][0] + matrix.m[3][0],
- vector.y() * matrix.m[1][1] + matrix.m[3][1],
- vector.z() * matrix.m[2][2] + matrix.m[3][2]);
- } else if (matrix.flagBits == QMatrix4x4::Scale) {
- return QVector3D(vector.x() * matrix.m[0][0],
- vector.y() * matrix.m[1][1],
- vector.z() * matrix.m[2][2]);
- } else {
- x = vector.x() * matrix.m[0][0] +
- vector.y() * matrix.m[1][0] +
- vector.z() * matrix.m[2][0] +
- matrix.m[3][0];
- y = vector.x() * matrix.m[0][1] +
- vector.y() * matrix.m[1][1] +
- vector.z() * matrix.m[2][1] +
- matrix.m[3][1];
- z = vector.x() * matrix.m[0][2] +
- vector.y() * matrix.m[1][2] +
- vector.z() * matrix.m[2][2] +
- matrix.m[3][2];
- w = vector.x() * matrix.m[0][3] +
- vector.y() * matrix.m[1][3] +
- vector.z() * matrix.m[2][3] +
- matrix.m[3][3];
- if (w == 1.0f)
- return QVector3D(x, y, z);
- else
- return QVector3D(x / w, y / w, z / w);
- }
-}
-
-#endif
-
-#ifndef QT_NO_VECTOR4D
-
-inline QVector4D operator*(const QVector4D& vector, const QMatrix4x4& matrix)
-{
- qreal x, y, z, w;
- x = vector.x() * matrix.m[0][0] +
- vector.y() * matrix.m[0][1] +
- vector.z() * matrix.m[0][2] +
- vector.w() * matrix.m[0][3];
- y = vector.x() * matrix.m[1][0] +
- vector.y() * matrix.m[1][1] +
- vector.z() * matrix.m[1][2] +
- vector.w() * matrix.m[1][3];
- z = vector.x() * matrix.m[2][0] +
- vector.y() * matrix.m[2][1] +
- vector.z() * matrix.m[2][2] +
- vector.w() * matrix.m[2][3];
- w = vector.x() * matrix.m[3][0] +
- vector.y() * matrix.m[3][1] +
- vector.z() * matrix.m[3][2] +
- vector.w() * matrix.m[3][3];
- return QVector4D(x, y, z, w);
-}
-
-inline QVector4D operator*(const QMatrix4x4& matrix, const QVector4D& vector)
-{
- qreal x, y, z, w;
- x = vector.x() * matrix.m[0][0] +
- vector.y() * matrix.m[1][0] +
- vector.z() * matrix.m[2][0] +
- vector.w() * matrix.m[3][0];
- y = vector.x() * matrix.m[0][1] +
- vector.y() * matrix.m[1][1] +
- vector.z() * matrix.m[2][1] +
- vector.w() * matrix.m[3][1];
- z = vector.x() * matrix.m[0][2] +
- vector.y() * matrix.m[1][2] +
- vector.z() * matrix.m[2][2] +
- vector.w() * matrix.m[3][2];
- w = vector.x() * matrix.m[0][3] +
- vector.y() * matrix.m[1][3] +
- vector.z() * matrix.m[2][3] +
- vector.w() * matrix.m[3][3];
- return QVector4D(x, y, z, w);
-}
-
-#endif
-
-inline QPoint operator*(const QPoint& point, const QMatrix4x4& matrix)
-{
- qreal xin, yin;
- qreal x, y, w;
- xin = point.x();
- yin = point.y();
- x = xin * matrix.m[0][0] +
- yin * matrix.m[0][1] +
- matrix.m[0][3];
- y = xin * matrix.m[1][0] +
- yin * matrix.m[1][1] +
- matrix.m[1][3];
- w = xin * matrix.m[3][0] +
- yin * matrix.m[3][1] +
- matrix.m[3][3];
- if (w == 1.0f)
- return QPoint(qRound(x), qRound(y));
- else
- return QPoint(qRound(x / w), qRound(y / w));
-}
-
-inline QPointF operator*(const QPointF& point, const QMatrix4x4& matrix)
-{
- qreal xin, yin;
- qreal x, y, w;
- xin = point.x();
- yin = point.y();
- x = xin * matrix.m[0][0] +
- yin * matrix.m[0][1] +
- matrix.m[0][3];
- y = xin * matrix.m[1][0] +
- yin * matrix.m[1][1] +
- matrix.m[1][3];
- w = xin * matrix.m[3][0] +
- yin * matrix.m[3][1] +
- matrix.m[3][3];
- if (w == 1.0f) {
- return QPointF(qreal(x), qreal(y));
- } else {
- return QPointF(qreal(x / w), qreal(y / w));
- }
-}
-
-inline QPoint operator*(const QMatrix4x4& matrix, const QPoint& point)
-{
- qreal xin, yin;
- qreal x, y, w;
- xin = point.x();
- yin = point.y();
- if (matrix.flagBits == QMatrix4x4::Identity) {
- return point;
- } else if (matrix.flagBits == QMatrix4x4::Translation) {
- return QPoint(qRound(xin + matrix.m[3][0]),
- qRound(yin + matrix.m[3][1]));
- } else if (matrix.flagBits ==
- (QMatrix4x4::Translation | QMatrix4x4::Scale)) {
- return QPoint(qRound(xin * matrix.m[0][0] + matrix.m[3][0]),
- qRound(yin * matrix.m[1][1] + matrix.m[3][1]));
- } else if (matrix.flagBits == QMatrix4x4::Scale) {
- return QPoint(qRound(xin * matrix.m[0][0]),
- qRound(yin * matrix.m[1][1]));
- } else {
- x = xin * matrix.m[0][0] +
- yin * matrix.m[1][0] +
- matrix.m[3][0];
- y = xin * matrix.m[0][1] +
- yin * matrix.m[1][1] +
- matrix.m[3][1];
- w = xin * matrix.m[0][3] +
- yin * matrix.m[1][3] +
- matrix.m[3][3];
- if (w == 1.0f)
- return QPoint(qRound(x), qRound(y));
- else
- return QPoint(qRound(x / w), qRound(y / w));
- }
-}
-
-inline QPointF operator*(const QMatrix4x4& matrix, const QPointF& point)
-{
- qreal xin, yin;
- qreal x, y, w;
- xin = point.x();
- yin = point.y();
- if (matrix.flagBits == QMatrix4x4::Identity) {
- return point;
- } else if (matrix.flagBits == QMatrix4x4::Translation) {
- return QPointF(xin + matrix.m[3][0],
- yin + matrix.m[3][1]);
- } else if (matrix.flagBits ==
- (QMatrix4x4::Translation | QMatrix4x4::Scale)) {
- return QPointF(xin * matrix.m[0][0] + matrix.m[3][0],
- yin * matrix.m[1][1] + matrix.m[3][1]);
- } else if (matrix.flagBits == QMatrix4x4::Scale) {
- return QPointF(xin * matrix.m[0][0],
- yin * matrix.m[1][1]);
- } else {
- x = xin * matrix.m[0][0] +
- yin * matrix.m[1][0] +
- matrix.m[3][0];
- y = xin * matrix.m[0][1] +
- yin * matrix.m[1][1] +
- matrix.m[3][1];
- w = xin * matrix.m[0][3] +
- yin * matrix.m[1][3] +
- matrix.m[3][3];
- if (w == 1.0f) {
- return QPointF(qreal(x), qreal(y));
- } else {
- return QPointF(qreal(x / w), qreal(y / w));
- }
- }
-}
-
-inline QMatrix4x4 operator-(const QMatrix4x4& matrix)
-{
- QMatrix4x4 m(1);
- m.m[0][0] = -matrix.m[0][0];
- m.m[0][1] = -matrix.m[0][1];
- m.m[0][2] = -matrix.m[0][2];
- m.m[0][3] = -matrix.m[0][3];
- m.m[1][0] = -matrix.m[1][0];
- m.m[1][1] = -matrix.m[1][1];
- m.m[1][2] = -matrix.m[1][2];
- m.m[1][3] = -matrix.m[1][3];
- m.m[2][0] = -matrix.m[2][0];
- m.m[2][1] = -matrix.m[2][1];
- m.m[2][2] = -matrix.m[2][2];
- m.m[2][3] = -matrix.m[2][3];
- m.m[3][0] = -matrix.m[3][0];
- m.m[3][1] = -matrix.m[3][1];
- m.m[3][2] = -matrix.m[3][2];
- m.m[3][3] = -matrix.m[3][3];
- return m;
-}
-
-inline QMatrix4x4 operator*(qreal factor, const QMatrix4x4& matrix)
-{
- QMatrix4x4 m(1);
- m.m[0][0] = matrix.m[0][0] * factor;
- m.m[0][1] = matrix.m[0][1] * factor;
- m.m[0][2] = matrix.m[0][2] * factor;
- m.m[0][3] = matrix.m[0][3] * factor;
- m.m[1][0] = matrix.m[1][0] * factor;
- m.m[1][1] = matrix.m[1][1] * factor;
- m.m[1][2] = matrix.m[1][2] * factor;
- m.m[1][3] = matrix.m[1][3] * factor;
- m.m[2][0] = matrix.m[2][0] * factor;
- m.m[2][1] = matrix.m[2][1] * factor;
- m.m[2][2] = matrix.m[2][2] * factor;
- m.m[2][3] = matrix.m[2][3] * factor;
- m.m[3][0] = matrix.m[3][0] * factor;
- m.m[3][1] = matrix.m[3][1] * factor;
- m.m[3][2] = matrix.m[3][2] * factor;
- m.m[3][3] = matrix.m[3][3] * factor;
- return m;
-}
-
-inline QMatrix4x4 operator*(const QMatrix4x4& matrix, qreal factor)
-{
- QMatrix4x4 m(1);
- m.m[0][0] = matrix.m[0][0] * factor;
- m.m[0][1] = matrix.m[0][1] * factor;
- m.m[0][2] = matrix.m[0][2] * factor;
- m.m[0][3] = matrix.m[0][3] * factor;
- m.m[1][0] = matrix.m[1][0] * factor;
- m.m[1][1] = matrix.m[1][1] * factor;
- m.m[1][2] = matrix.m[1][2] * factor;
- m.m[1][3] = matrix.m[1][3] * factor;
- m.m[2][0] = matrix.m[2][0] * factor;
- m.m[2][1] = matrix.m[2][1] * factor;
- m.m[2][2] = matrix.m[2][2] * factor;
- m.m[2][3] = matrix.m[2][3] * factor;
- m.m[3][0] = matrix.m[3][0] * factor;
- m.m[3][1] = matrix.m[3][1] * factor;
- m.m[3][2] = matrix.m[3][2] * factor;
- m.m[3][3] = matrix.m[3][3] * factor;
- return m;
-}
-
-inline bool qFuzzyCompare(const QMatrix4x4& m1, const QMatrix4x4& m2)
-{
- return qFuzzyCompare(m1.m[0][0], m2.m[0][0]) &&
- qFuzzyCompare(m1.m[0][1], m2.m[0][1]) &&
- qFuzzyCompare(m1.m[0][2], m2.m[0][2]) &&
- qFuzzyCompare(m1.m[0][3], m2.m[0][3]) &&
- qFuzzyCompare(m1.m[1][0], m2.m[1][0]) &&
- qFuzzyCompare(m1.m[1][1], m2.m[1][1]) &&
- qFuzzyCompare(m1.m[1][2], m2.m[1][2]) &&
- qFuzzyCompare(m1.m[1][3], m2.m[1][3]) &&
- qFuzzyCompare(m1.m[2][0], m2.m[2][0]) &&
- qFuzzyCompare(m1.m[2][1], m2.m[2][1]) &&
- qFuzzyCompare(m1.m[2][2], m2.m[2][2]) &&
- qFuzzyCompare(m1.m[2][3], m2.m[2][3]) &&
- qFuzzyCompare(m1.m[3][0], m2.m[3][0]) &&
- qFuzzyCompare(m1.m[3][1], m2.m[3][1]) &&
- qFuzzyCompare(m1.m[3][2], m2.m[3][2]) &&
- qFuzzyCompare(m1.m[3][3], m2.m[3][3]);
-}
-
-inline QPoint QMatrix4x4::map(const QPoint& point) const
-{
- return *this * point;
-}
-
-inline QPointF QMatrix4x4::map(const QPointF& point) const
-{
- return *this * point;
-}
-
-#ifndef QT_NO_VECTOR3D
-
-inline QVector3D QMatrix4x4::map(const QVector3D& point) const
-{
- return *this * point;
-}
-
-inline QVector3D QMatrix4x4::mapVector(const QVector3D& vector) const
-{
- if (flagBits == Identity || flagBits == Translation) {
- return vector;
- } else if (flagBits == Scale || flagBits == (Translation | Scale)) {
- return QVector3D(vector.x() * m[0][0],
- vector.y() * m[1][1],
- vector.z() * m[2][2]);
- } else {
- return QVector3D(vector.x() * m[0][0] +
- vector.y() * m[1][0] +
- vector.z() * m[2][0],
- vector.x() * m[0][1] +
- vector.y() * m[1][1] +
- vector.z() * m[2][1],
- vector.x() * m[0][2] +
- vector.y() * m[1][2] +
- vector.z() * m[2][2]);
- }
-}
-
-#endif
-
-#ifndef QT_NO_VECTOR4D
-
-inline QVector4D QMatrix4x4::map(const QVector4D& point) const
-{
- return *this * point;
-}
-
-#endif
-
-inline qreal *QMatrix4x4::data()
-{
- // We have to assume that the caller will modify the matrix elements,
- // so we flip it over to "General" mode.
- flagBits = General;
- return m[0];
-}
-
-#ifndef QT_NO_DEBUG_STREAM
-Q_GUI_EXPORT QDebug operator<<(QDebug dbg, const QMatrix4x4 &m);
-#endif
-
-#ifndef QT_NO_DATASTREAM
-Q_GUI_EXPORT QDataStream &operator<<(QDataStream &, const QMatrix4x4 &);
-Q_GUI_EXPORT QDataStream &operator>>(QDataStream &, QMatrix4x4 &);
-#endif
-
-template <int N, int M>
-QMatrix4x4 qGenericMatrixToMatrix4x4(const QGenericMatrix<N, M, qreal>& matrix)
-{
- return QMatrix4x4(matrix.constData(), N, M);
-}
-
-template <int N, int M>
-QGenericMatrix<N, M, qreal> qGenericMatrixFromMatrix4x4(const QMatrix4x4& matrix)
-{
- QGenericMatrix<N, M, qreal> result;
- const qreal *m = matrix.constData();
- qreal *values = result.data();
- for (int col = 0; col < N; ++col) {
- for (int row = 0; row < M; ++row) {
- if (col < 4 && row < 4)
- values[col * M + row] = m[col * 4 + row];
- else if (col == row)
- values[col * M + row] = 1.0f;
- else
- values[col * M + row] = 0.0f;
- }
- }
- return result;
-}
-
-#endif
-
-QT_END_NAMESPACE
-
-QT_END_HEADER
-
-#endif
generated by cgit v1.2.3 (git 2.46.0) at 2025-10-09 11:52:19 +0000