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qtransform.h
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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#ifndef QTRANSFORM_H
4#define QTRANSFORM_H
5
6#include <QtGui/qtguiglobal.h>
7#include <QtGui/qpolygon.h>
8#include <QtGui/qregion.h>
9#include <QtGui/qwindowdefs.h>
10#include <QtCore/qline.h>
11#include <QtCore/qpoint.h>
12#include <QtCore/qrect.h>
13
14QT_BEGIN_NAMESPACE
15
16class QVariant;
17class QPainterPath;
18
19class Q_GUI_EXPORT QTransform
20{
21public:
22 enum TransformationType {
23 TxNone = 0x00,
24 TxTranslate = 0x01,
25 TxScale = 0x02,
26 TxRotate = 0x04,
27 TxShear = 0x08,
28 TxProject = 0x10
29 };
30
31 inline explicit QTransform(Qt::Initialization) {}
32 inline QTransform()
33 : m_matrix{ {1, 0, 0}, {0, 1, 0}, {0, 0, 1} }
34 , m_type(TxNone)
35 , m_dirty(TxNone) {}
36 QTransform(qreal h11, qreal h12, qreal h13,
37 qreal h21, qreal h22, qreal h23,
38 qreal h31, qreal h32, qreal h33)
39 : m_matrix{ {h11, h12, h13}, {h21, h22, h23}, {h31, h32, h33} }
40 , m_type(TxNone)
41 , m_dirty(TxProject) {}
42 QTransform(qreal h11, qreal h12, qreal h21,
43 qreal h22, qreal dx, qreal dy)
44 : m_matrix{ {h11, h12, 0}, {h21, h22, 0}, {dx, dy, 1} }
45 , m_type(TxNone)
46 , m_dirty(TxShear) {}
47
48 QTransform &operator=(QTransform &&other) noexcept = default;
49 QTransform &operator=(const QTransform &) noexcept = default;
50 QTransform(QTransform &&other) noexcept = default;
51 QTransform(const QTransform &other) noexcept = default;
52
53 bool isAffine() const;
54 bool isIdentity() const;
55 bool isInvertible() const;
56 bool isScaling() const;
57 bool isRotating() const;
58 bool isTranslating() const;
59
60 TransformationType type() const;
61
62 inline qreal determinant() const;
63
64 qreal m11() const;
65 qreal m12() const;
66 qreal m13() const;
67 qreal m21() const;
68 qreal m22() const;
69 qreal m23() const;
70 qreal m31() const;
71 qreal m32() const;
72 qreal m33() const;
73 qreal dx() const;
74 qreal dy() const;
75
76 void setMatrix(qreal m11, qreal m12, qreal m13,
77 qreal m21, qreal m22, qreal m23,
78 qreal m31, qreal m32, qreal m33);
79
80 [[nodiscard]] QTransform inverted(bool *invertible = nullptr) const;
81 [[nodiscard]] QTransform adjoint() const;
82 [[nodiscard]] QTransform transposed() const;
83
84 QTransform &translate(qreal dx, qreal dy);
85 QTransform &scale(qreal sx, qreal sy);
86 QTransform &shear(qreal sh, qreal sv);
87#if QT_VERSION < QT_VERSION_CHECK(7, 0, 0)
88 QTransform &rotate(qreal a, Qt::Axis axis, qreal distanceToPlane);
89 // ### Qt7: Remove
90 QTransform &rotate(qreal a, Qt::Axis axis = Qt::ZAxis);
91 QTransform &rotateRadians(qreal a, Qt::Axis axis, qreal distanceToPlane);
92 // ### Qt7: Remove
93 QTransform &rotateRadians(qreal a, Qt::Axis axis = Qt::ZAxis);
94#else
95 QTransform &rotate(qreal a, Qt::Axis axis = Qt::ZAxis, qreal distanceToPlane = 1024.0f);
96 QTransform &rotateRadians(qreal a, Qt::Axis axis = Qt::ZAxis, qreal distanceToPlane = 1024.0f);
97#endif
98
99 static bool squareToQuad(const QPolygonF &square, QTransform &result);
100 static bool quadToSquare(const QPolygonF &quad, QTransform &result);
101 static bool quadToQuad(const QPolygonF &one,
102 const QPolygonF &two,
103 QTransform &result);
104
105 bool operator==(const QTransform &) const;
106 bool operator!=(const QTransform &) const;
107
108 QTransform &operator*=(const QTransform &);
109 QTransform operator*(const QTransform &o) const;
110
111 operator QVariant() const;
112
113 void reset();
114 QPoint map(const QPoint &p) const;
115 QPointF map(const QPointF &p) const;
116 QLine map(const QLine &l) const;
117 QLineF map(const QLineF &l) const;
118 QPolygonF map(const QPolygonF &a) const;
119 QPolygon map(const QPolygon &a) const;
120 QRegion map(const QRegion &r) const;
121 QPainterPath map(const QPainterPath &p) const;
122 QPolygon mapToPolygon(const QRect &r) const;
123 QRect mapRect(const QRect &) const;
124 QRectF mapRect(const QRectF &) const;
125 void map(int x, int y, int *tx, int *ty) const;
126 void map(qreal x, qreal y, qreal *tx, qreal *ty) const;
127
128 QTransform &operator*=(qreal div);
129 QTransform &operator/=(qreal div);
130 QTransform &operator+=(qreal div);
131 QTransform &operator-=(qreal div);
132
133 static QTransform fromTranslate(qreal dx, qreal dy);
134 static QTransform fromScale(qreal dx, qreal dy);
135
136private:
137 struct Affine {
138 qreal (& m_matrix)[3][3];
139 };
140
141public:
142 auto asAffineMatrix() { return Affine { m_matrix }; }
143 friend Q_GUI_EXPORT QDataStream &operator>>(QDataStream &s, Affine &m);
144 friend Q_GUI_EXPORT QDataStream &operator<<(QDataStream &s, const Affine &m);
145
146private:
147 inline TransformationType inline_type() const;
148 void do_map(qreal x, qreal y, qreal &nx, qreal &ny) const;
149 qreal m_matrix[3][3];
150
151 mutable uint m_type : 5;
152 mutable uint m_dirty : 5;
153};
154Q_DECLARE_TYPEINFO(QTransform, Q_RELOCATABLE_TYPE);
155
156Q_GUI_EXPORT Q_DECL_CONST_FUNCTION size_t qHash(const QTransform &key, size_t seed = 0) noexcept;
157
158/******* inlines *****/
159inline QTransform::TransformationType QTransform::inline_type() const
160{
161 if (m_dirty == TxNone)
162 return static_cast<TransformationType>(m_type);
163 return type();
164}
165
166inline bool QTransform::isAffine() const
167{
168 return inline_type() < TxProject;
169}
170inline bool QTransform::isIdentity() const
171{
172 return inline_type() == TxNone;
173}
174
175inline bool QTransform::isInvertible() const
176{
177 return !qFuzzyIsNull(determinant());
178}
179
180inline bool QTransform::isScaling() const
181{
182 return type() >= TxScale;
183}
184inline bool QTransform::isRotating() const
185{
186 return inline_type() >= TxRotate;
187}
188
189inline bool QTransform::isTranslating() const
190{
191 return inline_type() >= TxTranslate;
192}
193
194inline qreal QTransform::determinant() const
195{
196 return m_matrix[0][0] * (m_matrix[2][2] * m_matrix[1][1] - m_matrix[2][1] * m_matrix[1][2]) -
197 m_matrix[1][0] * (m_matrix[2][2] * m_matrix[0][1] - m_matrix[2][1] * m_matrix[0][2]) +
198 m_matrix[2][0] * (m_matrix[1][2] * m_matrix[0][1] - m_matrix[1][1] * m_matrix[0][2]);
199}
200inline qreal QTransform::m11() const
201{
202 return m_matrix[0][0];
203}
204inline qreal QTransform::m12() const
205{
206 return m_matrix[0][1];
207}
208inline qreal QTransform::m13() const
209{
210 return m_matrix[0][2];
211}
212inline qreal QTransform::m21() const
213{
214 return m_matrix[1][0];
215}
216inline qreal QTransform::m22() const
217{
218 return m_matrix[1][1];
219}
220inline qreal QTransform::m23() const
221{
222 return m_matrix[1][2];
223}
224inline qreal QTransform::m31() const
225{
226 return m_matrix[2][0];
227}
228inline qreal QTransform::m32() const
229{
230 return m_matrix[2][1];
231}
232inline qreal QTransform::m33() const
233{
234 return m_matrix[2][2];
235}
236inline qreal QTransform::dx() const
237{
238 return m_matrix[2][0];
239}
240inline qreal QTransform::dy() const
241{
242 return m_matrix[2][1];
243}
244
245QT_WARNING_PUSH
246QT_WARNING_DISABLE_FLOAT_COMPARE
247
248inline QTransform &QTransform::operator*=(qreal num)
249{
250 if (num == 1.)
251 return *this;
252 m_matrix[0][0] *= num;
253 m_matrix[0][1] *= num;
254 m_matrix[0][2] *= num;
255 m_matrix[1][0] *= num;
256 m_matrix[1][1] *= num;
257 m_matrix[1][2] *= num;
258 m_matrix[2][0] *= num;
259 m_matrix[2][1] *= num;
260 m_matrix[2][2] *= num;
261 if (m_dirty < TxScale)
262 m_dirty = TxScale;
263 return *this;
264}
265inline QTransform &QTransform::operator/=(qreal div)
266{
267 if (div == 0)
268 return *this;
269 div = 1/div;
270 return operator*=(div);
271}
272inline QTransform &QTransform::operator+=(qreal num)
273{
274 if (num == 0)
275 return *this;
276 m_matrix[0][0] += num;
277 m_matrix[0][1] += num;
278 m_matrix[0][2] += num;
279 m_matrix[1][0] += num;
280 m_matrix[1][1] += num;
281 m_matrix[1][2] += num;
282 m_matrix[2][0] += num;
283 m_matrix[2][1] += num;
284 m_matrix[2][2] += num;
285 m_dirty = TxProject;
286 return *this;
287}
288inline QTransform &QTransform::operator-=(qreal num)
289{
290 if (num == 0)
291 return *this;
292 m_matrix[0][0] -= num;
293 m_matrix[0][1] -= num;
294 m_matrix[0][2] -= num;
295 m_matrix[1][0] -= num;
296 m_matrix[1][1] -= num;
297 m_matrix[1][2] -= num;
298 m_matrix[2][0] -= num;
299 m_matrix[2][1] -= num;
300 m_matrix[2][2] -= num;
301 m_dirty = TxProject;
302 return *this;
303}
304
305QT_WARNING_POP
306
307inline bool qFuzzyCompare(const QTransform& t1, const QTransform& t2) noexcept
308{
309 return qFuzzyCompare(t1.m11(), t2.m11())
310 && qFuzzyCompare(t1.m12(), t2.m12())
311 && qFuzzyCompare(t1.m13(), t2.m13())
312 && qFuzzyCompare(t1.m21(), t2.m21())
313 && qFuzzyCompare(t1.m22(), t2.m22())
314 && qFuzzyCompare(t1.m23(), t2.m23())
315 && qFuzzyCompare(t1.m31(), t2.m31())
316 && qFuzzyCompare(t1.m32(), t2.m32())
317 && qFuzzyCompare(t1.m33(), t2.m33());
318}
319
320
321/****** stream functions *******************/
322#ifndef QT_NO_DATASTREAM
323Q_GUI_EXPORT QDataStream &operator<<(QDataStream &, const QTransform &);
324Q_GUI_EXPORT QDataStream &operator>>(QDataStream &, QTransform &);
325#endif
326
327#ifndef QT_NO_DEBUG_STREAM
328Q_GUI_EXPORT QDebug operator<<(QDebug, const QTransform &);
329#endif
330/****** end stream functions *******************/
331
332// mathematical semantics
333inline QPoint operator*(const QPoint &p, const QTransform &m)
334{ return m.map(p); }
335inline QPointF operator*(const QPointF &p, const QTransform &m)
336{ return m.map(p); }
337inline QLineF operator*(const QLineF &l, const QTransform &m)
338{ return m.map(l); }
339inline QLine operator*(const QLine &l, const QTransform &m)
340{ return m.map(l); }
341inline QPolygon operator *(const QPolygon &a, const QTransform &m)
342{ return m.map(a); }
343inline QPolygonF operator *(const QPolygonF &a, const QTransform &m)
344{ return m.map(a); }
345inline QRegion operator *(const QRegion &r, const QTransform &m)
346{ return m.map(r); }
347
348inline QTransform operator *(const QTransform &a, qreal n)
349{ QTransform t(a); t *= n; return t; }
350inline QTransform operator /(const QTransform &a, qreal n)
351{ QTransform t(a); t /= n; return t; }
352inline QTransform operator +(const QTransform &a, qreal n)
353{ QTransform t(a); t += n; return t; }
354inline QTransform operator -(const QTransform &a, qreal n)
355{ QTransform t(a); t -= n; return t; }
356
357QT_END_NAMESPACE
358
359#endif // QTRANSFORM_H
QColorTransform
The QColorTransform class is a transformation between color spaces.
Definition qcolortransform.h:26
QColorTransform::QColorTransform
QColorTransform(QColorTransform &&colorTransform)=default
QColorTransform::operator!=
friend bool operator!=(const QColorTransform &ct1, const QColorTransform &ct2)
Definition qcolortransform.h:50
QColorTransform::operator=
QColorTransform & operator=(const QColorTransform &other) noexcept
Definition qcolortransform.h:32
QColorTransform::QColorTransform
QColorTransform() noexcept=default
QColorTransform::~QColorTransform
Q_GUI_EXPORT ~QColorTransform()
QColorTransform::operator==
friend bool operator==(const QColorTransform &ct1, const QColorTransform &ct2)
Definition qcolortransform.h:48
QDataStream
\inmodule QtCore\reentrant
Definition qdatastream.h:50
QMap
Definition qmap.h:189
QTransform
The QTransform class specifies 2D transformations of a coordinate system.
Definition qtransform.h:20
qfloat16
\keyword 16-bit Floating Point Support\inmodule QtCore \inheaderfile QFloat16
Definition qfloat16.h:48
QRgbaFloat32
QRgbaFloat< float > QRgbaFloat32
Definition qcolortransform.h:21
QRgbaFloat16
QRgbaFloat< qfloat16 > QRgbaFloat16
Definition qcolortransform.h:20
Q_TRACE_METADATA
Q_TRACE_METADATA(qtcore, "ENUM { AUTO, RANGE User ... MaxUser } QEvent::Type;")
operator<<
Q_CORE_EXPORT QDebug operator<<(QDebug debug, QDir::Filters filters)
Definition qdir.cpp:2568
IWX_MSB
#define IWX_MSB(b)
Definition qimage.cpp:4424
rotated90
static QImage rotated90(const QImage &src)
Definition qimage.cpp:4775
copyMetadata
static void copyMetadata(QImage *dst, const QImage &src)
Definition qimage.cpp:1182
copyMetadata
static void copyMetadata(QImageData *dst, const QImageData *src)
Definition qimage.cpp:1173
next_qimage_serial_number
static int next_qimage_serial_number()
Definition qimage.cpp:87
QIMAGE_SANITYCHECK_MEMORY
#define QIMAGE_SANITYCHECK_MEMORY(image)
Definition qimage.cpp:65
copyPhysicalMetadata
static void copyPhysicalMetadata(QImageData *dst, const QImageData *src)
Definition qimage.cpp:1166
IWX_LSB
#define IWX_LSB(b)
Definition qimage.cpp:4433
rotated270
static QImage rotated270(const QImage &src)
Definition qimage.cpp:4819
qt_getImageText
QMap< QString, QString > qt_getImageText(const QImage &image, const QString &description)
Definition qimage.cpp:6529
qt_imageTransform
Q_GUI_EXPORT void qt_imageTransform(QImage &src, QImageIOHandler::Transformations orient)
Definition qimage.cpp:6516
PIX
#define PIX(x, y)
rotated180
static QImage rotated180(const QImage &src)
Definition qimage.cpp:4801
toOrientations
static Qt::Orientations toOrientations(QImageIOHandler::Transformations orient)
Definition qimage.cpp:6506
qt_getImageTextFromDescription
QMap< QString, QString > qt_getImageTextFromDescription(const QString &description)
Definition qimage.cpp:6540
operator*
QTransform operator*(const QTransform &a, qreal n)
Definition qtransform.h:348
Q_DECLARE_TYPEINFO
Q_DECLARE_TYPEINFO(QTransform, Q_RELOCATABLE_TYPE)
operator/
QTransform operator/(const QTransform &a, qreal n)
Definition qtransform.h:350
operator*
QPoint operator*(const QPoint &p, const QTransform &m)
Definition qtransform.h:333
operator+
QTransform operator+(const QTransform &a, qreal n)
Definition qtransform.h:352
operator-
QTransform operator-(const QTransform &a, qreal n)
Definition qtransform.h:354
qFuzzyCompare
QT_WARNING_POP bool qFuzzyCompare(const QTransform &t1, const QTransform &t2) noexcept
Definition qtransform.h:307