/src/qtbase/src/gui/math3d/qgenericmatrix.h

Source
// Copyright (C) 2016 The Qt Company Ltd.
// SPDX-License-Identifier: LicenseRef-Qt-Commercial OR LGPL-3.0-only OR GPL-2.0-only OR GPL-3.0-only
// Qt-Security score:significant reason:default

#ifndef QGENERICMATRIX_H
#define QGENERICMATRIX_H

#include <QtGui/qtguiglobal.h>
#include <QtCore/qmetatype.h>
#include <QtCore/qdebug.h>
#include <QtCore/qdatastream.h>

QT_BEGIN_NAMESPACE


template <int N, int M, typename T>
class QGenericMatrix
{
public:
    QGenericMatrix();
    explicit QGenericMatrix(Qt::Initialization) {}
    explicit QGenericMatrix(const T *values);

    const T& operator()(int row, int column) const;
    T& operator()(int row, int column);

    bool isIdentity() const;
    void setToIdentity();

    void fill(T value);

    [[nodiscard]] QGenericMatrix<M, N, T> transposed() const;

    QGenericMatrix<N, M, T>& operator+=(const QGenericMatrix<N, M, T>& other);
    QGenericMatrix<N, M, T>& operator-=(const QGenericMatrix<N, M, T>& other);
    QGenericMatrix<N, M, T>& operator*=(T factor);
    QGenericMatrix<N, M, T>& operator/=(T divisor);
    bool operator==(const QGenericMatrix<N, M, T>& other) const;
    bool operator!=(const QGenericMatrix<N, M, T>& other) const;

    void copyDataTo(T *values) const;

    T *data() { return *m; }
    const T *data() const { return *m; }
    const T *constData() const { return *m; }

    template<int NN, int MM, typename TT>
    friend QGenericMatrix<NN, MM, TT> operator+(const QGenericMatrix<NN, MM, TT>& m1, const QGenericMatrix<NN, MM, TT>& m2);
    template<int NN, int MM, typename TT>
    friend QGenericMatrix<NN, MM, TT> operator-(const QGenericMatrix<NN, MM, TT>& m1, const QGenericMatrix<NN, MM, TT>& m2);
    template<int NN, int M1, int M2, typename TT>
    friend QGenericMatrix<M1, M2, TT> operator*(const QGenericMatrix<NN, M2, TT>& m1, const QGenericMatrix<M1, NN, TT>& m2);
    template<int NN, int MM, typename TT>
    friend QGenericMatrix<NN, MM, TT> operator-(const QGenericMatrix<NN, MM, TT>& matrix);
    template<int NN, int MM, typename TT>
    friend QGenericMatrix<NN, MM, TT> operator*(TT factor, const QGenericMatrix<NN, MM, TT>& matrix);
    template<int NN, int MM, typename TT>
    friend QGenericMatrix<NN, MM, TT> operator*(const QGenericMatrix<NN, MM, TT>& matrix, TT factor);
    template<int NN, int MM, typename TT>
    friend QGenericMatrix<NN, MM, TT> operator/(const QGenericMatrix<NN, MM, TT>& matrix, TT divisor);

private:
    T m[N][M];    // Column-major order to match OpenGL.

    template <int NN, int MM, typename TT>
    friend class QGenericMatrix;
};
template <int N, int M, typename T>
class QTypeInfo<QGenericMatrix<N, M, T> >
    : public QTypeInfoMerger<QGenericMatrix<N, M, T>, T>
{
};

template <int N, int M, typename T>
Q_INLINE_TEMPLATE QGenericMatrix<N, M, T>::QGenericMatrix()
{
    setToIdentity();
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T>::QGenericMatrix(const T *values)
{
    for (int col = 0; col < N; ++col)
        for (int row = 0; row < M; ++row)
            m[col][row] = values[row * N + col];
}

template <int N, int M, typename T>
Q_INLINE_TEMPLATE const T& QGenericMatrix<N, M, T>::operator()(int row, int column) const
{
    Q_ASSERT(row >= 0 && row < M && column >= 0 && column < N);
    return m[column][row];
}

template <int N, int M, typename T>
Q_INLINE_TEMPLATE T& QGenericMatrix<N, M, T>::operator()(int row, int column)
{
    Q_ASSERT(row >= 0 && row < M && column >= 0 && column < N);
    return m[column][row];
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE bool QGenericMatrix<N, M, T>::isIdentity() const
{
    for (int col = 0; col < N; ++col) {
        for (int row = 0; row < M; ++row) {
            if (row == col) {
                if (m[col][row] != 1.0f)
                    return false;
            } else {
                if (m[col][row] != 0.0f)
                    return false;
            }
        }
    }
    return true;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE void QGenericMatrix<N, M, T>::setToIdentity()
{
    for (int col = 0; col < N; ++col) {
        for (int row = 0; row < M; ++row) {
            if (row == col)
                m[col][row] = 1.0f;
            else
                m[col][row] = 0.0f;
        }
    }
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE void QGenericMatrix<N, M, T>::fill(T value)
{
    for (int col = 0; col < N; ++col)
        for (int row = 0; row < M; ++row)
            m[col][row] = value;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<M, N, T> QGenericMatrix<N, M, T>::transposed() const
{
    QGenericMatrix<M, N, T> result(Qt::Uninitialized);
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            result.m[row][col] = m[col][row];
    return result;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T>& QGenericMatrix<N, M, T>::operator+=(const QGenericMatrix<N, M, T>& other)
{
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            m[col][row] += other.m[col][row];
    return *this;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T>& QGenericMatrix<N, M, T>::operator-=(const QGenericMatrix<N, M, T>& other)
{
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            m[col][row] -= other.m[col][row];
    return *this;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T>& QGenericMatrix<N, M, T>::operator*=(T factor)
{
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            m[col][row] *= factor;
    return *this;
}

QT_WARNING_PUSH
QT_WARNING_DISABLE_FLOAT_COMPARE

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE bool QGenericMatrix<N, M, T>::operator==(const QGenericMatrix<N, M, T>& other) const
{
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)  {
            if (m[col][row] != other.m[col][row])
                return false;
        }
    return true;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE bool QGenericMatrix<N, M, T>::operator!=(const QGenericMatrix<N, M, T>& other) const
{
    return !(*this == other);
}

QT_WARNING_POP

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T>& QGenericMatrix<N, M, T>::operator/=(T divisor)
{
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            m[col][row] /= divisor;
    return *this;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator+(const QGenericMatrix<N, M, T>& m1, const QGenericMatrix<N, M, T>& m2)
{
    QGenericMatrix<N, M, T> result(Qt::Uninitialized);
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            result.m[col][row] = m1.m[col][row] + m2.m[col][row];
    return result;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator-(const QGenericMatrix<N, M, T>& m1, const QGenericMatrix<N, M, T>& m2)
{
    QGenericMatrix<N, M, T> result(Qt::Uninitialized);
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            result.m[col][row] = m1.m[col][row] - m2.m[col][row];
    return result;
}

template <int N, int M1, int M2, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<M1, M2, T> operator*(const QGenericMatrix<N, M2, T>& m1, const QGenericMatrix<M1, N, T>& m2)
{
    QGenericMatrix<M1, M2, T> result(Qt::Uninitialized);
    for (int row = 0; row < M2; ++row) {
        for (int col = 0; col < M1; ++col) {
            T sum(0.0f);
            for (int j = 0; j < N; ++j)
                sum += m1.m[j][row] * m2.m[col][j];
            result.m[col][row] = sum;
        }
    }
    return result;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator-(const QGenericMatrix<N, M, T>& matrix)
{
    QGenericMatrix<N, M, T> result(Qt::Uninitialized);
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            result.m[col][row] = -matrix.m[col][row];
    return result;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator*(T factor, const QGenericMatrix<N, M, T>& matrix)
{
    QGenericMatrix<N, M, T> result(Qt::Uninitialized);
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            result.m[col][row] = matrix.m[col][row] * factor;
    return result;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator*(const QGenericMatrix<N, M, T>& matrix, T factor)
{
    QGenericMatrix<N, M, T> result(Qt::Uninitialized);
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            result.m[col][row] = matrix.m[col][row] * factor;
    return result;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator/(const QGenericMatrix<N, M, T>& matrix, T divisor)
{
    QGenericMatrix<N, M, T> result(Qt::Uninitialized);
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            result.m[col][row] = matrix.m[col][row] / divisor;
    return result;
}

template <int N, int M, typename T>
Q_OUTOFLINE_TEMPLATE void QGenericMatrix<N, M, T>::copyDataTo(T *values) const
{
    for (int col = 0; col < N; ++col)
        for (int row = 0; row < M; ++row)
            values[row * N + col] = T(m[col][row]);
}

// Define aliases for the useful variants of QGenericMatrix.
typedef QGenericMatrix<2, 2, float> QMatrix2x2;
typedef QGenericMatrix<2, 3, float> QMatrix2x3;
typedef QGenericMatrix<2, 4, float> QMatrix2x4;
typedef QGenericMatrix<3, 2, float> QMatrix3x2;
typedef QGenericMatrix<3, 3, float> QMatrix3x3;
typedef QGenericMatrix<3, 4, float> QMatrix3x4;
typedef QGenericMatrix<4, 2, float> QMatrix4x2;
typedef QGenericMatrix<4, 3, float> QMatrix4x3;

#ifndef QT_NO_DEBUG_STREAM

template <int N, int M, typename T>
QDebug operator<<(QDebug dbg, const QGenericMatrix<N, M, T> &m)
{
    QDebugStateSaver saver(dbg);
    dbg.nospace() << "QGenericMatrix<" << N << ", " << M
        << ", " << QMetaType::fromType<T>().name()
        << ">(" << Qt::endl << qSetFieldWidth(10);
    for (int row = 0; row < M; ++row) {
        for (int col = 0; col < N; ++col)
            dbg << m(row, col);
        dbg << Qt::endl;
    }
    dbg << qSetFieldWidth(0) << ')';
    return dbg;
}

#endif

#ifndef QT_NO_DATASTREAM

template <int N, int M, typename T>
QDataStream &operator<<(QDataStream &stream, const QGenericMatrix<N, M, T> &matrix)
{
    for (int row = 0; row < M; ++row)
        for (int col = 0; col < N; ++col)
            stream << double(matrix(row, col));
    return stream;
}

template <int N, int M, typename T>
QDataStream &operator>>(QDataStream &stream, QGenericMatrix<N, M, T> &matrix)
{
    double x;
    for (int row = 0; row < M; ++row) {
        for (int col = 0; col < N; ++col) {
            stream >> x;
            matrix(row, col) = T(x);
        }
    }
    return stream;
}

#endif

QT_END_NAMESPACE

QT_DECL_METATYPE_EXTERN(QMatrix2x2, Q_GUI_EXPORT)
QT_DECL_METATYPE_EXTERN(QMatrix2x3, Q_GUI_EXPORT)
QT_DECL_METATYPE_EXTERN(QMatrix2x4, Q_GUI_EXPORT)
QT_DECL_METATYPE_EXTERN(QMatrix3x2, Q_GUI_EXPORT)
QT_DECL_METATYPE_EXTERN(QMatrix3x3, Q_GUI_EXPORT)
QT_DECL_METATYPE_EXTERN(QMatrix3x4, Q_GUI_EXPORT)
QT_DECL_METATYPE_EXTERN(QMatrix4x2, Q_GUI_EXPORT)
QT_DECL_METATYPE_EXTERN(QMatrix4x3, Q_GUI_EXPORT)

#endif

Coverage Report

Created: 2026-04-01 07:24

Line	Count	Source
1		// Copyright (C) 2016 The Qt Company Ltd.
2		// SPDX-License-Identifier: LicenseRef-Qt-Commercial OR LGPL-3.0-only OR GPL-2.0-only OR GPL-3.0-only
3		// Qt-Security score:significant reason:default
4
5		#ifndef QGENERICMATRIX_H
6		#define QGENERICMATRIX_H
7
8		#include <QtGui/qtguiglobal.h>
9		#include <QtCore/qmetatype.h>
10		#include <QtCore/qdebug.h>
11		#include <QtCore/qdatastream.h>
12
13		QT_BEGIN_NAMESPACE
14
15
16		template <int N, int M, typename T>
17		class QGenericMatrix
18		{
19		public:
20		QGenericMatrix();
21	0	explicit QGenericMatrix(Qt::Initialization) {}
22		explicit QGenericMatrix(const T *values);
23
24		const T& operator()(int row, int column) const;
25		T& operator()(int row, int column);
26
27		bool isIdentity() const;
28		void setToIdentity();
29
30		void fill(T value);
31
32		[[nodiscard]] QGenericMatrix<M, N, T> transposed() const;
33
34		QGenericMatrix<N, M, T>& operator+=(const QGenericMatrix<N, M, T>& other);
35		QGenericMatrix<N, M, T>& operator-=(const QGenericMatrix<N, M, T>& other);
36		QGenericMatrix<N, M, T>& operator*=(T factor);
37		QGenericMatrix<N, M, T>& operator/=(T divisor);
38		bool operator==(const QGenericMatrix<N, M, T>& other) const;
39		bool operator!=(const QGenericMatrix<N, M, T>& other) const;
40
41		void copyDataTo(T *values) const;
42
43	0	T data() { return m; }
44		const T data() const { return m; }
45	0	const T constData() const { return m; }
46
47		template<int NN, int MM, typename TT>
48		friend QGenericMatrix<NN, MM, TT> operator+(const QGenericMatrix<NN, MM, TT>& m1, const QGenericMatrix<NN, MM, TT>& m2);
49		template<int NN, int MM, typename TT>
50		friend QGenericMatrix<NN, MM, TT> operator-(const QGenericMatrix<NN, MM, TT>& m1, const QGenericMatrix<NN, MM, TT>& m2);
51		template<int NN, int M1, int M2, typename TT>
52		friend QGenericMatrix<M1, M2, TT> operator*(const QGenericMatrix<NN, M2, TT>& m1, const QGenericMatrix<M1, NN, TT>& m2);
53		template<int NN, int MM, typename TT>
54		friend QGenericMatrix<NN, MM, TT> operator-(const QGenericMatrix<NN, MM, TT>& matrix);
55		template<int NN, int MM, typename TT>
56		friend QGenericMatrix<NN, MM, TT> operator*(TT factor, const QGenericMatrix<NN, MM, TT>& matrix);
57		template<int NN, int MM, typename TT>
58		friend QGenericMatrix<NN, MM, TT> operator*(const QGenericMatrix<NN, MM, TT>& matrix, TT factor);
59		template<int NN, int MM, typename TT>
60		friend QGenericMatrix<NN, MM, TT> operator/(const QGenericMatrix<NN, MM, TT>& matrix, TT divisor);
61
62		private:
63		T m[N][M]; // Column-major order to match OpenGL.
64
65		template <int NN, int MM, typename TT>
66		friend class QGenericMatrix;
67		};
68		template <int N, int M, typename T>
69		class QTypeInfo<QGenericMatrix<N, M, T> >
70		: public QTypeInfoMerger<QGenericMatrix<N, M, T>, T>
71		{
72		};
73
74		template <int N, int M, typename T>
75		Q_INLINE_TEMPLATE QGenericMatrix<N, M, T>::QGenericMatrix()
76	0	{
77	0	setToIdentity();
78	0	}
79
80		template <int N, int M, typename T>
81		Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T>::QGenericMatrix(const T *values)
82		{
83		for (int col = 0; col < N; ++col)
84		for (int row = 0; row < M; ++row)
85		m[col][row] = values[row * N + col];
86		}
87
88		template <int N, int M, typename T>
89		Q_INLINE_TEMPLATE const T& QGenericMatrix<N, M, T>::operator()(int row, int column) const
90	0	{
91	0	Q_ASSERT(row >= 0 && row < M && column >= 0 && column < N);
92	0	return m[column][row];
93	0	}
94
95		template <int N, int M, typename T>
96		Q_INLINE_TEMPLATE T& QGenericMatrix<N, M, T>::operator()(int row, int column)
97	0	{
98	0	Q_ASSERT(row >= 0 && row < M && column >= 0 && column < N);
99	0	return m[column][row];
100	0	}
101
102		template <int N, int M, typename T>
103		Q_OUTOFLINE_TEMPLATE bool QGenericMatrix<N, M, T>::isIdentity() const
104		{
105		for (int col = 0; col < N; ++col) {
106		for (int row = 0; row < M; ++row) {
107		if (row == col) {
108		if (m[col][row] != 1.0f)
109		return false;
110		} else {
111		if (m[col][row] != 0.0f)
112		return false;
113		}
114		}
115		}
116		return true;
117		}
118
119		template <int N, int M, typename T>
120		Q_OUTOFLINE_TEMPLATE void QGenericMatrix<N, M, T>::setToIdentity()
121	0	{
122	0	for (int col = 0; col < N; ++col) {
123	0	for (int row = 0; row < M; ++row) {
124	0	if (row == col)
125	0	m[col][row] = 1.0f;
126	0	else
127	0	m[col][row] = 0.0f;
128	0	}
129	0	}
130	0	}
131
132		template <int N, int M, typename T>
133		Q_OUTOFLINE_TEMPLATE void QGenericMatrix<N, M, T>::fill(T value)
134		{
135		for (int col = 0; col < N; ++col)
136		for (int row = 0; row < M; ++row)
137		m[col][row] = value;
138		}
139
140		template <int N, int M, typename T>
141		Q_OUTOFLINE_TEMPLATE QGenericMatrix<M, N, T> QGenericMatrix<N, M, T>::transposed() const
142		{
143		QGenericMatrix<M, N, T> result(Qt::Uninitialized);
144		for (int row = 0; row < M; ++row)
145		for (int col = 0; col < N; ++col)
146		result.m[row][col] = m[col][row];
147		return result;
148		}
149
150		template <int N, int M, typename T>
151		Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T>& QGenericMatrix<N, M, T>::operator+=(const QGenericMatrix<N, M, T>& other)
152		{
153		for (int row = 0; row < M; ++row)
154		for (int col = 0; col < N; ++col)
155		m[col][row] += other.m[col][row];
156		return *this;
157		}
158
159		template <int N, int M, typename T>
160		Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T>& QGenericMatrix<N, M, T>::operator-=(const QGenericMatrix<N, M, T>& other)
161		{
162		for (int row = 0; row < M; ++row)
163		for (int col = 0; col < N; ++col)
164		m[col][row] -= other.m[col][row];
165		return *this;
166		}
167
168		template <int N, int M, typename T>
169		Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T>& QGenericMatrix<N, M, T>::operator*=(T factor)
170		{
171		for (int row = 0; row < M; ++row)
172		for (int col = 0; col < N; ++col)
173		m[col][row] *= factor;
174		return *this;
175		}
176
177		QT_WARNING_PUSH
178		QT_WARNING_DISABLE_FLOAT_COMPARE
179
180		template <int N, int M, typename T>
181		Q_OUTOFLINE_TEMPLATE bool QGenericMatrix<N, M, T>::operator==(const QGenericMatrix<N, M, T>& other) const
182		{
183		for (int row = 0; row < M; ++row)
184		for (int col = 0; col < N; ++col) {
185		if (m[col][row] != other.m[col][row])
186		return false;
187		}
188		return true;
189		}
190
191		template <int N, int M, typename T>
192		Q_OUTOFLINE_TEMPLATE bool QGenericMatrix<N, M, T>::operator!=(const QGenericMatrix<N, M, T>& other) const
193		{
194		return !(*this == other);
195		}
196
197		QT_WARNING_POP
198
199		template <int N, int M, typename T>
200		Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T>& QGenericMatrix<N, M, T>::operator/=(T divisor)
201		{
202		for (int row = 0; row < M; ++row)
203		for (int col = 0; col < N; ++col)
204		m[col][row] /= divisor;
205		return *this;
206		}
207
208		template <int N, int M, typename T>
209		Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator+(const QGenericMatrix<N, M, T>& m1, const QGenericMatrix<N, M, T>& m2)
210		{
211		QGenericMatrix<N, M, T> result(Qt::Uninitialized);
212		for (int row = 0; row < M; ++row)
213		for (int col = 0; col < N; ++col)
214		result.m[col][row] = m1.m[col][row] + m2.m[col][row];
215		return result;
216		}
217
218		template <int N, int M, typename T>
219		Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator-(const QGenericMatrix<N, M, T>& m1, const QGenericMatrix<N, M, T>& m2)
220		{
221		QGenericMatrix<N, M, T> result(Qt::Uninitialized);
222		for (int row = 0; row < M; ++row)
223		for (int col = 0; col < N; ++col)
224		result.m[col][row] = m1.m[col][row] - m2.m[col][row];
225		return result;
226		}
227
228		template <int N, int M1, int M2, typename T>
229		Q_OUTOFLINE_TEMPLATE QGenericMatrix<M1, M2, T> operator*(const QGenericMatrix<N, M2, T>& m1, const QGenericMatrix<M1, N, T>& m2)
230		{
231		QGenericMatrix<M1, M2, T> result(Qt::Uninitialized);
232		for (int row = 0; row < M2; ++row) {
233		for (int col = 0; col < M1; ++col) {
234		T sum(0.0f);
235		for (int j = 0; j < N; ++j)
236		sum += m1.m[j][row] * m2.m[col][j];
237		result.m[col][row] = sum;
238		}
239		}
240		return result;
241		}
242
243		template <int N, int M, typename T>
244		Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator-(const QGenericMatrix<N, M, T>& matrix)
245		{
246		QGenericMatrix<N, M, T> result(Qt::Uninitialized);
247		for (int row = 0; row < M; ++row)
248		for (int col = 0; col < N; ++col)
249		result.m[col][row] = -matrix.m[col][row];
250		return result;
251		}
252
253		template <int N, int M, typename T>
254		Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator*(T factor, const QGenericMatrix<N, M, T>& matrix)
255		{
256		QGenericMatrix<N, M, T> result(Qt::Uninitialized);
257		for (int row = 0; row < M; ++row)
258		for (int col = 0; col < N; ++col)
259		result.m[col][row] = matrix.m[col][row] * factor;
260		return result;
261		}
262
263		template <int N, int M, typename T>
264		Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator*(const QGenericMatrix<N, M, T>& matrix, T factor)
265		{
266		QGenericMatrix<N, M, T> result(Qt::Uninitialized);
267		for (int row = 0; row < M; ++row)
268		for (int col = 0; col < N; ++col)
269		result.m[col][row] = matrix.m[col][row] * factor;
270		return result;
271		}
272
273		template <int N, int M, typename T>
274		Q_OUTOFLINE_TEMPLATE QGenericMatrix<N, M, T> operator/(const QGenericMatrix<N, M, T>& matrix, T divisor)
275		{
276		QGenericMatrix<N, M, T> result(Qt::Uninitialized);
277		for (int row = 0; row < M; ++row)
278		for (int col = 0; col < N; ++col)
279		result.m[col][row] = matrix.m[col][row] / divisor;
280		return result;
281		}
282
283		template <int N, int M, typename T>
284		Q_OUTOFLINE_TEMPLATE void QGenericMatrix<N, M, T>::copyDataTo(T *values) const
285		{
286		for (int col = 0; col < N; ++col)
287		for (int row = 0; row < M; ++row)
288		values[row * N + col] = T(m[col][row]);
289		}
290
291		// Define aliases for the useful variants of QGenericMatrix.
292		typedef QGenericMatrix<2, 2, float> QMatrix2x2;
293		typedef QGenericMatrix<2, 3, float> QMatrix2x3;
294		typedef QGenericMatrix<2, 4, float> QMatrix2x4;
295		typedef QGenericMatrix<3, 2, float> QMatrix3x2;
296		typedef QGenericMatrix<3, 3, float> QMatrix3x3;
297		typedef QGenericMatrix<3, 4, float> QMatrix3x4;
298		typedef QGenericMatrix<4, 2, float> QMatrix4x2;
299		typedef QGenericMatrix<4, 3, float> QMatrix4x3;
300
301		#ifndef QT_NO_DEBUG_STREAM
302
303		template <int N, int M, typename T>
304		QDebug operator<<(QDebug dbg, const QGenericMatrix<N, M, T> &m)
305		{
306		QDebugStateSaver saver(dbg);
307		dbg.nospace() << "QGenericMatrix<" << N << ", " << M
308		<< ", " << QMetaType::fromType<T>().name()
309		<< ">(" << Qt::endl << qSetFieldWidth(10);
310		for (int row = 0; row < M; ++row) {
311		for (int col = 0; col < N; ++col)
312		dbg << m(row, col);
313		dbg << Qt::endl;
314		}
315		dbg << qSetFieldWidth(0) << ')';
316		return dbg;
317		}
318
319		#endif
320
321		#ifndef QT_NO_DATASTREAM
322
323		template <int N, int M, typename T>
324		QDataStream &operator<<(QDataStream &stream, const QGenericMatrix<N, M, T> &matrix)
325		{
326		for (int row = 0; row < M; ++row)
327		for (int col = 0; col < N; ++col)
328		stream << double(matrix(row, col));
329		return stream;
330		}
331
332		template <int N, int M, typename T>
333		QDataStream &operator>>(QDataStream &stream, QGenericMatrix<N, M, T> &matrix)
334		{
335		double x;
336		for (int row = 0; row < M; ++row) {
337		for (int col = 0; col < N; ++col) {
338		stream >> x;
339		matrix(row, col) = T(x);
340		}
341		}
342		return stream;
343		}
344
345		#endif
346
347		QT_END_NAMESPACE
348
349	0	QT_DECL_METATYPE_EXTERN(QMatrix2x2, Q_GUI_EXPORT) Unexecuted instantiation: int qRegisterNormalizedMetaType<QGenericMatrix<2, 2, float> >(QByteArray const&) Unexecuted instantiation: QMetaTypeId<QGenericMatrix<2, 2, float> >::qt_metatype_id()
350	0	QT_DECL_METATYPE_EXTERN(QMatrix2x3, Q_GUI_EXPORT) Unexecuted instantiation: int qRegisterNormalizedMetaType<QGenericMatrix<2, 3, float> >(QByteArray const&) Unexecuted instantiation: QMetaTypeId<QGenericMatrix<2, 3, float> >::qt_metatype_id()
351	0	QT_DECL_METATYPE_EXTERN(QMatrix2x4, Q_GUI_EXPORT) Unexecuted instantiation: int qRegisterNormalizedMetaType<QGenericMatrix<2, 4, float> >(QByteArray const&) Unexecuted instantiation: QMetaTypeId<QGenericMatrix<2, 4, float> >::qt_metatype_id()
352	0	QT_DECL_METATYPE_EXTERN(QMatrix3x2, Q_GUI_EXPORT) Unexecuted instantiation: int qRegisterNormalizedMetaType<QGenericMatrix<3, 2, float> >(QByteArray const&) Unexecuted instantiation: QMetaTypeId<QGenericMatrix<3, 2, float> >::qt_metatype_id()
353	0	QT_DECL_METATYPE_EXTERN(QMatrix3x3, Q_GUI_EXPORT) Unexecuted instantiation: int qRegisterNormalizedMetaType<QGenericMatrix<3, 3, float> >(QByteArray const&) Unexecuted instantiation: QMetaTypeId<QGenericMatrix<3, 3, float> >::qt_metatype_id()
354	0	QT_DECL_METATYPE_EXTERN(QMatrix3x4, Q_GUI_EXPORT) Unexecuted instantiation: int qRegisterNormalizedMetaType<QGenericMatrix<3, 4, float> >(QByteArray const&) Unexecuted instantiation: QMetaTypeId<QGenericMatrix<3, 4, float> >::qt_metatype_id()
355	0	QT_DECL_METATYPE_EXTERN(QMatrix4x2, Q_GUI_EXPORT) Unexecuted instantiation: int qRegisterNormalizedMetaType<QGenericMatrix<4, 2, float> >(QByteArray const&) Unexecuted instantiation: QMetaTypeId<QGenericMatrix<4, 2, float> >::qt_metatype_id()
356		QT_DECL_METATYPE_EXTERN(QMatrix4x3, Q_GUI_EXPORT) Unexecuted instantiation: int qRegisterNormalizedMetaType<QGenericMatrix<4, 3, float> >(QByteArray const&) Unexecuted instantiation: QMetaTypeId<QGenericMatrix<4, 3, float> >::qt_metatype_id()
357
358		#endif