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-/****************************************************************************
-**
-** Copyright (C) 2016 The Qt Company Ltd.
-** Contact: https://www.qt.io/licensing/
-**
-** This file is part of the QtGui module of the Qt Toolkit.
-**
-** $QT_BEGIN_LICENSE:LGPL$
-** Commercial License Usage
-** Licensees holding valid commercial Qt licenses may use this file in
-** accordance with the commercial license agreement provided with the
-** Software or, alternatively, in accordance with the terms contained in
-** a written agreement between you and The Qt Company. For licensing terms
-** and conditions see https://www.qt.io/terms-conditions. For further
-** information use the contact form at https://www.qt.io/contact-us.
-**
-** GNU Lesser General Public License Usage
-** Alternatively, this file may be used under the terms of the GNU Lesser
-** General Public License version 3 as published by the Free Software
-** Foundation and appearing in the file LICENSE.LGPL3 included in the
-** packaging of this file. Please review the following information to
-** ensure the GNU Lesser General Public License version 3 requirements
-** will be met: https://www.gnu.org/licenses/lgpl-3.0.html.
-**
-** GNU General Public License Usage
-** Alternatively, this file may be used under the terms of the GNU
-** General Public License version 2.0 or (at your option) the GNU General
-** Public license version 3 or any later version approved by the KDE Free
-** Qt Foundation. The licenses are as published by the Free Software
-** Foundation and appearing in the file LICENSE.GPL2 and LICENSE.GPL3
-** included in the packaging of this file. Please review the following
-** information to ensure the GNU General Public License requirements will
-** be met: https://www.gnu.org/licenses/gpl-2.0.html and
-** https://www.gnu.org/licenses/gpl-3.0.html.
-**
-** $QT_END_LICENSE$
-**
-****************************************************************************/
-
-#ifndef QDOUBLEMATRIX4X4_H
-#define QDOUBLEMATRIX4X4_H
-
-//
-// W A R N I N G
-// -------------
-//
-// This file is not part of the Qt API. It exists purely as an
-// implementation detail. This header file may change from version to
-// version without notice, or even be removed.
-//
-// We mean it.
-//
-
-#include <QtPositioning/private/qpositioningglobal_p.h>
-#include <QtPositioning/private/qdoublevector3d_p.h>
-#include <QtCore/QDebug>
-#include <QtCore/qmetatype.h>
-#include <QtCore/QRectF>
-
-QT_BEGIN_NAMESPACE
-
-/*
- * This class is a copy/paste/replace of QMatrix4x4
- * No algorithm has been changed.
- * Some methods have been removed.
- */
-
-class Q_POSITIONING_PRIVATE_EXPORT QDoubleMatrix4x4
-{
-public:
- inline QDoubleMatrix4x4() { setToIdentity(); }
- explicit QDoubleMatrix4x4(Qt::Initialization) : flagBits(General) {}
- explicit QDoubleMatrix4x4(const double *values);
- inline QDoubleMatrix4x4(double m11, double m12, double m13, double m14,
- double m21, double m22, double m23, double m24,
- double m31, double m32, double m33, double m34,
- double m41, double m42, double m43, double m44);
-
- QDoubleMatrix4x4(const double *values, int cols, int rows);
-
- inline const double& operator()(int row, int column) const;
- inline double& operator()(int row, int column);
-
- inline bool isAffine() const;
-
- inline bool isIdentity() const;
- inline void setToIdentity();
-
- inline void fill(double value);
-
- double determinant() const;
- QDoubleMatrix4x4 inverted(bool *invertible = nullptr) const;
- QDoubleMatrix4x4 transposed() const;
-
- inline QDoubleMatrix4x4& operator+=(const QDoubleMatrix4x4& other);
- inline QDoubleMatrix4x4& operator-=(const QDoubleMatrix4x4& other);
- inline QDoubleMatrix4x4& operator*=(const QDoubleMatrix4x4& other);
- inline QDoubleMatrix4x4& operator*=(double factor);
- QDoubleMatrix4x4& operator/=(double divisor);
- inline bool operator==(const QDoubleMatrix4x4& other) const;
- inline bool operator!=(const QDoubleMatrix4x4& other) const;
-
- friend QDoubleMatrix4x4 operator+(const QDoubleMatrix4x4& m1, const QDoubleMatrix4x4& m2);
- friend QDoubleMatrix4x4 operator-(const QDoubleMatrix4x4& m1, const QDoubleMatrix4x4& m2);
- friend QDoubleMatrix4x4 operator*(const QDoubleMatrix4x4& m1, const QDoubleMatrix4x4& m2);
-
- friend QDoubleVector3D operator*(const QDoubleMatrix4x4& matrix, const QDoubleVector3D& vector);
- friend QDoubleVector3D operator*(const QDoubleVector3D& vector, const QDoubleMatrix4x4& matrix);
-
- friend QPoint operator*(const QPoint& point, const QDoubleMatrix4x4& matrix);
- friend QPointF operator*(const QPointF& point, const QDoubleMatrix4x4& matrix);
- friend QDoubleMatrix4x4 operator-(const QDoubleMatrix4x4& matrix);
- friend QPoint operator*(const QDoubleMatrix4x4& matrix, const QPoint& point);
- friend QPointF operator*(const QDoubleMatrix4x4& matrix, const QPointF& point);
- friend QDoubleMatrix4x4 operator*(double factor, const QDoubleMatrix4x4& matrix);
- friend QDoubleMatrix4x4 operator*(const QDoubleMatrix4x4& matrix, double factor);
- friend Q_POSITIONING_PRIVATE_EXPORT QDoubleMatrix4x4 operator/(const QDoubleMatrix4x4& matrix, double divisor);
-
- friend inline bool qFuzzyCompare(const QDoubleMatrix4x4& m1, const QDoubleMatrix4x4& m2);
-
-
- void scale(const QDoubleVector3D& vector);
- void translate(const QDoubleVector3D& vector);
- void rotate(double angle, const QDoubleVector3D& vector);
-
- void scale(double x, double y);
- void scale(double x, double y, double z);
- void scale(double factor);
- void translate(double x, double y);
- void translate(double x, double y, double z);
- void rotate(double angle, double x, double y, double z = 0.0f);
-
- void ortho(const QRect& rect);
- void ortho(const QRectF& rect);
- void ortho(double left, double right, double bottom, double top, double nearPlane, double farPlane);
- void frustum(double left, double right, double bottom, double top, double nearPlane, double farPlane);
- void perspective(double verticalAngle, double aspectRatio, double nearPlane, double farPlane);
-
- void lookAt(const QDoubleVector3D& eye, const QDoubleVector3D& center, const QDoubleVector3D& up);
-
- void viewport(const QRectF &rect);
- void viewport(double left, double bottom, double width, double height, double nearPlane = 0.0f, double farPlane = 1.0f);
- void flipCoordinates();
-
- void copyDataTo(double *values) const;
-
- QPoint map(const QPoint& point) const;
- QPointF map(const QPointF& point) const;
-
- QDoubleVector3D map(const QDoubleVector3D& point) const;
- QDoubleVector3D mapVector(const QDoubleVector3D& vector) const;
-
- QRect mapRect(const QRect& rect) const;
- QRectF mapRect(const QRectF& rect) const;
-
- inline double *data();
- inline const double *data() const { return *m; }
- inline const double *constData() const { return *m; }
-
- void optimize();
-
-#ifndef QT_NO_DEBUG_STREAM
- friend Q_POSITIONING_PRIVATE_EXPORT QDebug operator<<(QDebug dbg, const QDoubleMatrix4x4 &m);
-#endif
-
-private:
- double m[4][4]; // Column-major order to match OpenGL.
- int flagBits; // Flag bits from the enum below.
-
- // When matrices are multiplied, the flag bits are or-ed together.
- 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
- };
-
- // Construct without initializing identity matrix.
- explicit QDoubleMatrix4x4(int) { }
-
- QDoubleMatrix4x4 orthonormalInverse() const;
-
- void projectedRotate(double angle, double x, double y, double z);
-};
-
-Q_DECLARE_TYPEINFO(QDoubleMatrix4x4, Q_RELOCATABLE_TYPE);
-
-inline QDoubleMatrix4x4::QDoubleMatrix4x4
- (double m11, double m12, double m13, double m14,
- double m21, double m22, double m23, double m24,
- double m31, double m32, double m33, double m34,
- double m41, double m42, double m43, double 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;
-}
-
-inline const double& QDoubleMatrix4x4::operator()(int aRow, int aColumn) const
-{
- Q_ASSERT(aRow >= 0 && aRow < 4 && aColumn >= 0 && aColumn < 4);
- return m[aColumn][aRow];
-}
-
-inline double& QDoubleMatrix4x4::operator()(int aRow, int aColumn)
-{
- Q_ASSERT(aRow >= 0 && aRow < 4 && aColumn >= 0 && aColumn < 4);
- flagBits = General;
- return m[aColumn][aRow];
-}
-
-Q_POSITIONING_PRIVATE_EXPORT QDoubleMatrix4x4 operator/(const QDoubleMatrix4x4& matrix, double divisor);
-
-inline bool QDoubleMatrix4x4::isAffine() const
-{
- return m[0][3] == 0.0f && m[1][3] == 0.0f && m[2][3] == 0.0f && m[3][3] == 1.0f;
-}
-
-inline bool QDoubleMatrix4x4::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 QDoubleMatrix4x4::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 QDoubleMatrix4x4::fill(double 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 QDoubleMatrix4x4& QDoubleMatrix4x4::operator+=(const QDoubleMatrix4x4& 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 QDoubleMatrix4x4& QDoubleMatrix4x4::operator-=(const QDoubleMatrix4x4& 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 QDoubleMatrix4x4& QDoubleMatrix4x4::operator*=(const QDoubleMatrix4x4& other)
-{
- flagBits |= other.flagBits;
-
- if (flagBits < Rotation2D) {
- m[3][0] += m[0][0] * other.m[3][0];
- m[3][1] += m[1][1] * other.m[3][1];
- m[3][2] += m[2][2] * other.m[3][2];
-
- m[0][0] *= other.m[0][0];
- m[1][1] *= other.m[1][1];
- m[2][2] *= other.m[2][2];
- return *this;
- }
-
- double m0, m1, m2;
- m0 = m[0][0] * other.m[0][0]
- + m[1][0] * other.m[0][1]
- + m[2][0] * other.m[0][2]
- + m[3][0] * other.m[0][3];
- m1 = m[0][0] * other.m[1][0]
- + m[1][0] * other.m[1][1]
- + m[2][0] * other.m[1][2]
- + m[3][0] * other.m[1][3];
- m2 = m[0][0] * other.m[2][0]
- + m[1][0] * other.m[2][1]
- + m[2][0] * other.m[2][2]
- + m[3][0] * other.m[2][3];
- m[3][0] = m[0][0] * other.m[3][0]
- + m[1][0] * other.m[3][1]
- + m[2][0] * other.m[3][2]
- + m[3][0] * other.m[3][3];
- m[0][0] = m0;
- m[1][0] = m1;
- m[2][0] = m2;
-
- m0 = m[0][1] * other.m[0][0]
- + m[1][1] * other.m[0][1]
- + m[2][1] * other.m[0][2]
- + m[3][1] * other.m[0][3];
- m1 = m[0][1] * other.m[1][0]
- + m[1][1] * other.m[1][1]
- + m[2][1] * other.m[1][2]
- + m[3][1] * other.m[1][3];
- m2 = m[0][1] * other.m[2][0]
- + m[1][1] * other.m[2][1]
- + m[2][1] * other.m[2][2]
- + m[3][1] * other.m[2][3];
- m[3][1] = m[0][1] * other.m[3][0]
- + m[1][1] * other.m[3][1]
- + m[2][1] * other.m[3][2]
- + m[3][1] * other.m[3][3];
- m[0][1] = m0;
- m[1][1] = m1;
- m[2][1] = m2;
-
- m0 = m[0][2] * other.m[0][0]
- + m[1][2] * other.m[0][1]
- + m[2][2] * other.m[0][2]
- + m[3][2] * other.m[0][3];
- m1 = m[0][2] * other.m[1][0]
- + m[1][2] * other.m[1][1]
- + m[2][2] * other.m[1][2]
- + m[3][2] * other.m[1][3];
- m2 = m[0][2] * other.m[2][0]
- + m[1][2] * other.m[2][1]
- + m[2][2] * other.m[2][2]
- + m[3][2] * other.m[2][3];
- m[3][2] = m[0][2] * other.m[3][0]
- + m[1][2] * other.m[3][1]
- + m[2][2] * other.m[3][2]
- + m[3][2] * other.m[3][3];
- m[0][2] = m0;
- m[1][2] = m1;
- m[2][2] = m2;
-
- m0 = m[0][3] * other.m[0][0]
- + m[1][3] * other.m[0][1]
- + m[2][3] * other.m[0][2]
- + m[3][3] * other.m[0][3];
- m1 = m[0][3] * other.m[1][0]
- + m[1][3] * other.m[1][1]
- + m[2][3] * other.m[1][2]
- + m[3][3] * other.m[1][3];
- m2 = m[0][3] * other.m[2][0]
- + m[1][3] * other.m[2][1]
- + m[2][3] * other.m[2][2]
- + m[3][3] * other.m[2][3];
- m[3][3] = m[0][3] * other.m[3][0]
- + m[1][3] * other.m[3][1]
- + m[2][3] * other.m[3][2]
- + m[3][3] * other.m[3][3];
- m[0][3] = m0;
- m[1][3] = m1;
- m[2][3] = m2;
- return *this;
-}
-
-inline QDoubleMatrix4x4& QDoubleMatrix4x4::operator*=(double 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 QDoubleMatrix4x4::operator==(const QDoubleMatrix4x4& 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 QDoubleMatrix4x4::operator!=(const QDoubleMatrix4x4& 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 QDoubleMatrix4x4 operator+(const QDoubleMatrix4x4& m1, const QDoubleMatrix4x4& m2)
-{
- QDoubleMatrix4x4 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];
- m.flagBits = QDoubleMatrix4x4::General;
- return m;
-}
-
-inline QDoubleMatrix4x4 operator-(const QDoubleMatrix4x4& m1, const QDoubleMatrix4x4& m2)
-{
- QDoubleMatrix4x4 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];
- m.flagBits = QDoubleMatrix4x4::General;
- return m;
-}
-
-inline QDoubleMatrix4x4 operator*(const QDoubleMatrix4x4& m1, const QDoubleMatrix4x4& m2)
-{
- int flagBits = m1.flagBits | m2.flagBits;
- if (flagBits < QDoubleMatrix4x4::Rotation2D) {
- QDoubleMatrix4x4 m = m1;
- m.m[3][0] += m.m[0][0] * m2.m[3][0];
- m.m[3][1] += m.m[1][1] * m2.m[3][1];
- m.m[3][2] += m.m[2][2] * m2.m[3][2];
-
- m.m[0][0] *= m2.m[0][0];
- m.m[1][1] *= m2.m[1][1];
- m.m[2][2] *= m2.m[2][2];
- m.flagBits = flagBits;
- return m;
- }
-
- QDoubleMatrix4x4 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];
- m.flagBits = flagBits;
- return m;
-}
-
-inline QDoubleVector3D operator*(const QDoubleVector3D& vector, const QDoubleMatrix4x4& matrix)
-{
- double 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 QDoubleVector3D(x, y, z);
- else
- return QDoubleVector3D(x / w, y / w, z / w);
-}
-
-inline QDoubleVector3D operator*(const QDoubleMatrix4x4& matrix, const QDoubleVector3D& vector)
-{
- double x, y, z, w;
- if (matrix.flagBits == QDoubleMatrix4x4::Identity) {
- return vector;
- } else if (matrix.flagBits < QDoubleMatrix4x4::Rotation2D) {
- // Translation | Scale
- return QDoubleVector3D(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 < QDoubleMatrix4x4::Rotation) {
- // Translation | Scale | Rotation2D
- return QDoubleVector3D(vector.x() * matrix.m[0][0] + vector.y() * matrix.m[1][0] + matrix.m[3][0],
- vector.x() * matrix.m[0][1] + vector.y() * matrix.m[1][1] + matrix.m[3][1],
- vector.z() * matrix.m[2][2] + matrix.m[3][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 QDoubleVector3D(x, y, z);
- else
- return QDoubleVector3D(x / w, y / w, z / w);
- }
-}
-
-inline QPoint operator*(const QPoint& point, const QDoubleMatrix4x4& matrix)
-{
- double xin, yin;
- double 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 QDoubleMatrix4x4& matrix)
-{
- double xin, yin;
- double 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(double(x), double(y));
- } else {
- return QPointF(double(x / w), double(y / w));
- }
-}
-
-inline QPoint operator*(const QDoubleMatrix4x4& matrix, const QPoint& point)
-{
- double xin, yin;
- double x, y, w;
- xin = point.x();
- yin = point.y();
- if (matrix.flagBits == QDoubleMatrix4x4::Identity) {
- return point;
- } else if (matrix.flagBits < QDoubleMatrix4x4::Rotation2D) {
- // Translation | 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 < QDoubleMatrix4x4::Perspective) {
- return QPoint(qRound(xin * matrix.m[0][0] + yin * matrix.m[1][0] + matrix.m[3][0]),
- qRound(xin * matrix.m[0][1] + yin * matrix.m[1][1] + matrix.m[3][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 QDoubleMatrix4x4& matrix, const QPointF& point)
-{
- double xin, yin;
- double x, y, w;
- xin = point.x();
- yin = point.y();
- if (matrix.flagBits == QDoubleMatrix4x4::Identity) {
- return point;
- } else if (matrix.flagBits < QDoubleMatrix4x4::Rotation2D) {
- // Translation | 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 < QDoubleMatrix4x4::Perspective) {
- return QPointF(xin * matrix.m[0][0] + yin * matrix.m[1][0] + matrix.m[3][0],
- xin * matrix.m[0][1] + yin * matrix.m[1][1] + matrix.m[3][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(double(x), double(y));
- } else {
- return QPointF(double(x / w), double(y / w));
- }
- }
-}
-
-inline QDoubleMatrix4x4 operator-(const QDoubleMatrix4x4& matrix)
-{
- QDoubleMatrix4x4 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];
- m.flagBits = QDoubleMatrix4x4::General;
- return m;
-}
-
-inline QDoubleMatrix4x4 operator*(double factor, const QDoubleMatrix4x4& matrix)
-{
- QDoubleMatrix4x4 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;
- m.flagBits = QDoubleMatrix4x4::General;
- return m;
-}
-
-inline QDoubleMatrix4x4 operator*(const QDoubleMatrix4x4& matrix, double factor)
-{
- QDoubleMatrix4x4 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;
- m.flagBits = QDoubleMatrix4x4::General;
- return m;
-}
-
-inline bool qFuzzyCompare(const QDoubleMatrix4x4& m1, const QDoubleMatrix4x4& 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 QDoubleMatrix4x4::map(const QPoint& point) const
-{
- return *this * point;
-}
-
-inline QPointF QDoubleMatrix4x4::map(const QPointF& point) const
-{
- return *this * point;
-}
-
-inline QDoubleVector3D QDoubleMatrix4x4::map(const QDoubleVector3D& point) const
-{
- return *this * point;
-}
-
-inline QDoubleVector3D QDoubleMatrix4x4::mapVector(const QDoubleVector3D& vector) const
-{
- if (flagBits < Scale) {
- // Translation
- return vector;
- } else if (flagBits < Rotation2D) {
- // Translation | Scale
- return QDoubleVector3D(vector.x() * m[0][0],
- vector.y() * m[1][1],
- vector.z() * m[2][2]);
- } else {
- return QDoubleVector3D(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]);
- }
-}
-
-inline double *QDoubleMatrix4x4::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;
-}
-
-inline void QDoubleMatrix4x4::viewport(const QRectF &rect)
-{
- viewport(rect.x(), rect.y(), rect.width(), rect.height());
-}
-
-#ifndef QT_NO_DEBUG_STREAM
-Q_POSITIONING_PRIVATE_EXPORT QDebug operator<<(QDebug dbg, const QDoubleMatrix4x4 &m);
-#endif
-
-#ifndef QT_NO_DATASTREAM
-Q_POSITIONING_PRIVATE_EXPORT QDataStream &operator<<(QDataStream &, const QDoubleMatrix4x4 &);
-Q_POSITIONING_PRIVATE_EXPORT QDataStream &operator>>(QDataStream &, QDoubleMatrix4x4 &);
-#endif
-
-
-QT_END_NAMESPACE
-
-
-#endif // QDOUBLEMATRIX4X4_H
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