summaryrefslogtreecommitdiffstats
path: root/src/gui/painting/qtransform.h
blob: a1ec8e93997994098d1e44fff41b142f82741070 (plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
/****************************************************************************
**
** 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 QTRANSFORM_H
#define QTRANSFORM_H

#include <QtGui/qtguiglobal.h>
#include <QtGui/qpolygon.h>
#include <QtGui/qregion.h>
#include <QtGui/qwindowdefs.h>
#include <QtCore/qline.h>
#include <QtCore/qpoint.h>
#include <QtCore/qrect.h>

QT_BEGIN_NAMESPACE

class QVariant;
class QPainterPath;

class Q_GUI_EXPORT QTransform
{
public:
    enum TransformationType {
        TxNone      = 0x00,
        TxTranslate = 0x01,
        TxScale     = 0x02,
        TxRotate    = 0x04,
        TxShear     = 0x08,
        TxProject   = 0x10
    };

    inline explicit QTransform(Qt::Initialization) {}
    inline QTransform()
        : m_matrix{ {1, 0, 0}, {0, 1, 0}, {0, 0, 1} }
        , m_type(TxNone)
        , m_dirty(TxNone) {}
    QTransform(qreal h11, qreal h12, qreal h13,
               qreal h21, qreal h22, qreal h23,
               qreal h31, qreal h32, qreal h33)
        : m_matrix{ {h11, h12, h13}, {h21, h22, h23}, {h31, h32, h33} }
        , m_type(TxNone)
        , m_dirty(TxProject) {}
    QTransform(qreal h11, qreal h12, qreal h21,
               qreal h22, qreal dx, qreal dy)
        : m_matrix{ {h11, h12, 0}, {h21, h22, 0}, {dx, dy, 1} }
        , m_type(TxNone)
        , m_dirty(TxShear) {}

    QTransform &operator=(QTransform &&other) noexcept = default;
    QTransform &operator=(const QTransform &) noexcept = default;
    QTransform(QTransform &&other) noexcept = default;
    QTransform(const QTransform &other) noexcept = default;

    bool isAffine() const;
    bool isIdentity() const;
    bool isInvertible() const;
    bool isScaling() const;
    bool isRotating() const;
    bool isTranslating() const;

    TransformationType type() const;

    inline qreal determinant() const;

    qreal m11() const;
    qreal m12() const;
    qreal m13() const;
    qreal m21() const;
    qreal m22() const;
    qreal m23() const;
    qreal m31() const;
    qreal m32() const;
    qreal m33() const;
    qreal dx() const;
    qreal dy() const;

    void setMatrix(qreal m11, qreal m12, qreal m13,
                   qreal m21, qreal m22, qreal m23,
                   qreal m31, qreal m32, qreal m33);

    [[nodiscard]] QTransform inverted(bool *invertible = nullptr) const;
    [[nodiscard]] QTransform adjoint() const;
    [[nodiscard]] QTransform transposed() const;

    QTransform &translate(qreal dx, qreal dy);
    QTransform &scale(qreal sx, qreal sy);
    QTransform &shear(qreal sh, qreal sv);
    QTransform &rotate(qreal a, Qt::Axis axis = Qt::ZAxis);
    QTransform &rotateRadians(qreal a, Qt::Axis axis = Qt::ZAxis);

    static bool squareToQuad(const QPolygonF &square, QTransform &result);
    static bool quadToSquare(const QPolygonF &quad, QTransform &result);
    static bool quadToQuad(const QPolygonF &one,
                           const QPolygonF &two,
                           QTransform &result);

    bool operator==(const QTransform &) const;
    bool operator!=(const QTransform &) const;

    QTransform &operator*=(const QTransform &);
    QTransform operator*(const QTransform &o) const;

    operator QVariant() const;

    void reset();
    QPoint       map(const QPoint &p) const;
    QPointF      map(const QPointF &p) const;
    QLine        map(const QLine &l) const;
    QLineF       map(const QLineF &l) const;
    QPolygonF    map(const QPolygonF &a) const;
    QPolygon     map(const QPolygon &a) const;
    QRegion      map(const QRegion &r) const;
    QPainterPath map(const QPainterPath &p) const;
    QPolygon     mapToPolygon(const QRect &r) const;
    QRect mapRect(const QRect &) const;
    QRectF mapRect(const QRectF &) const;
    void map(int x, int y, int *tx, int *ty) const;
    void map(qreal x, qreal y, qreal *tx, qreal *ty) const;

    QTransform &operator*=(qreal div);
    QTransform &operator/=(qreal div);
    QTransform &operator+=(qreal div);
    QTransform &operator-=(qreal div);

    static QTransform fromTranslate(qreal dx, qreal dy);
    static QTransform fromScale(qreal dx, qreal dy);

private:
    struct Affine {
             qreal (& m_matrix)[3][3];
        };

public:
    auto asAffineMatrix() { return Affine { m_matrix }; }
    friend Q_GUI_EXPORT QDataStream &operator>>(QDataStream &s, Affine &m);
    friend Q_GUI_EXPORT QDataStream &operator<<(QDataStream &s, const Affine &m);

private:
    inline TransformationType inline_type() const;
    qreal m_matrix[3][3];

    mutable uint m_type : 5;
    mutable uint m_dirty : 5;
};
Q_DECLARE_TYPEINFO(QTransform, Q_RELOCATABLE_TYPE);

Q_GUI_EXPORT Q_DECL_CONST_FUNCTION size_t qHash(const QTransform &key, size_t seed = 0) noexcept;

/******* inlines *****/
inline QTransform::TransformationType QTransform::inline_type() const
{
    if (m_dirty == TxNone)
        return static_cast<TransformationType>(m_type);
    return type();
}

inline bool QTransform::isAffine() const
{
    return inline_type() < TxProject;
}
inline bool QTransform::isIdentity() const
{
    return inline_type() == TxNone;
}

inline bool QTransform::isInvertible() const
{
    return !qFuzzyIsNull(determinant());
}

inline bool QTransform::isScaling() const
{
    return type() >= TxScale;
}
inline bool QTransform::isRotating() const
{
    return inline_type() >= TxRotate;
}

inline bool QTransform::isTranslating() const
{
    return inline_type() >= TxTranslate;
}

inline qreal QTransform::determinant() const
{
    return m_matrix[0][0] * (m_matrix[2][2] * m_matrix[1][1] - m_matrix[2][1] * m_matrix[1][2]) -
           m_matrix[1][0] * (m_matrix[2][2] * m_matrix[0][1] - m_matrix[2][1] * m_matrix[0][2]) +
           m_matrix[2][0] * (m_matrix[1][2] * m_matrix[0][1] - m_matrix[1][1] * m_matrix[0][2]);
}
inline qreal QTransform::m11() const
{
    return m_matrix[0][0];
}
inline qreal QTransform::m12() const
{
    return m_matrix[0][1];
}
inline qreal QTransform::m13() const
{
    return m_matrix[0][2];
}
inline qreal QTransform::m21() const
{
    return m_matrix[1][0];
}
inline qreal QTransform::m22() const
{
    return m_matrix[1][1];
}
inline qreal QTransform::m23() const
{
    return m_matrix[1][2];
}
inline qreal QTransform::m31() const
{
    return m_matrix[2][0];
}
inline qreal QTransform::m32() const
{
    return m_matrix[2][1];
}
inline qreal QTransform::m33() const
{
    return m_matrix[2][2];
}
inline qreal QTransform::dx() const
{
    return m_matrix[2][0];
}
inline qreal QTransform::dy() const
{
    return m_matrix[2][1];
}

QT_WARNING_PUSH
QT_WARNING_DISABLE_FLOAT_COMPARE

inline QTransform &QTransform::operator*=(qreal num)
{
    if (num == 1.)
        return *this;
    m_matrix[0][0] *= num;
    m_matrix[0][1] *= num;
    m_matrix[0][2] *= num;
    m_matrix[1][0] *= num;
    m_matrix[1][1] *= num;
    m_matrix[1][2] *= num;
    m_matrix[2][0] *= num;
    m_matrix[2][1] *= num;
    m_matrix[2][2] *= num;
    if (m_dirty < TxScale)
        m_dirty = TxScale;
    return *this;
}
inline QTransform &QTransform::operator/=(qreal div)
{
    if (div == 0)
        return *this;
    div = 1/div;
    return operator*=(div);
}
inline QTransform &QTransform::operator+=(qreal num)
{
    if (num == 0)
        return *this;
    m_matrix[0][0] += num;
    m_matrix[0][1] += num;
    m_matrix[0][2] += num;
    m_matrix[1][0] += num;
    m_matrix[1][1] += num;
    m_matrix[1][2] += num;
    m_matrix[2][0] += num;
    m_matrix[2][1] += num;
    m_matrix[2][2] += num;
    m_dirty     = TxProject;
    return *this;
}
inline QTransform &QTransform::operator-=(qreal num)
{
    if (num == 0)
        return *this;
    m_matrix[0][0] -= num;
    m_matrix[0][1] -= num;
    m_matrix[0][2] -= num;
    m_matrix[1][0] -= num;
    m_matrix[1][1] -= num;
    m_matrix[1][2] -= num;
    m_matrix[2][0] -= num;
    m_matrix[2][1] -= num;
    m_matrix[2][2] -= num;
    m_dirty     = TxProject;
    return *this;
}

QT_WARNING_POP

inline bool qFuzzyCompare(const QTransform& t1, const QTransform& t2)
{
    return qFuzzyCompare(t1.m11(), t2.m11())
        && qFuzzyCompare(t1.m12(), t2.m12())
        && qFuzzyCompare(t1.m13(), t2.m13())
        && qFuzzyCompare(t1.m21(), t2.m21())
        && qFuzzyCompare(t1.m22(), t2.m22())
        && qFuzzyCompare(t1.m23(), t2.m23())
        && qFuzzyCompare(t1.m31(), t2.m31())
        && qFuzzyCompare(t1.m32(), t2.m32())
        && qFuzzyCompare(t1.m33(), t2.m33());
}


/****** stream functions *******************/
#ifndef QT_NO_DATASTREAM
Q_GUI_EXPORT QDataStream &operator<<(QDataStream &, const QTransform &);
Q_GUI_EXPORT QDataStream &operator>>(QDataStream &, QTransform &);
#endif

#ifndef QT_NO_DEBUG_STREAM
Q_GUI_EXPORT QDebug operator<<(QDebug, const QTransform &);
#endif
/****** end stream functions *******************/

// mathematical semantics
inline QPoint operator*(const QPoint &p, const QTransform &m)
{ return m.map(p); }
inline QPointF operator*(const QPointF &p, const QTransform &m)
{ return m.map(p); }
inline QLineF operator*(const QLineF &l, const QTransform &m)
{ return m.map(l); }
inline QLine operator*(const QLine &l, const QTransform &m)
{ return m.map(l); }
inline QPolygon operator *(const QPolygon &a, const QTransform &m)
{ return m.map(a); }
inline QPolygonF operator *(const QPolygonF &a, const QTransform &m)
{ return m.map(a); }
inline QRegion operator *(const QRegion &r, const QTransform &m)
{ return m.map(r); }

inline QTransform operator *(const QTransform &a, qreal n)
{ QTransform t(a); t *= n; return t; }
inline QTransform operator /(const QTransform &a, qreal n)
{ QTransform t(a); t /= n; return t; }
inline QTransform operator +(const QTransform &a, qreal n)
{ QTransform t(a); t += n; return t; }
inline QTransform operator -(const QTransform &a, qreal n)
{ QTransform t(a); t -= n; return t; }

QT_END_NAMESPACE

#endif // QTRANSFORM_H