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1/////////////////////////////////////////////////////////////////////////////
2// Name: matrix.h
3// Purpose: wxTransformMatrix class. NOT YET USED
371a5b4e 4// Author: Chris Breeze, Julian Smart
555526fb 5// Modified by: Klaas Holwerda
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6// Created: 01/02/97
7// RCS-ID: $Id$
371a5b4e 8// Copyright: (c) Julian Smart, Chris Breeze
65571936 9// Licence: wxWindows licence
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10/////////////////////////////////////////////////////////////////////////////
11
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12#ifndef _WX_MATRIXH__
13#define _WX_MATRIXH__
c801d85f 14
555526fb 15//! headerfiles="matrix.h wx/object.h"
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16#include "wx/object.h"
17
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18//! codefiles="matrix.cpp"
19
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20// A simple 3x3 matrix. This may be replaced by a more general matrix
21// class some day.
22//
23// Note: this is intended to be used in wxDC at some point to replace
24// the current system of scaling/translation. It is not yet used.
25
65b17727 26//:definition
555526fb 27// A 3x3 matrix to do 2D transformations.
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28// It can be used to map data to window coordinates,
29// and also for manipulating your own data.
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30// For example drawing a picture (composed of several primitives)
31// at a certain coordinate and angle within another parent picture.
32// At all times m_isIdentity is set if the matrix itself is an Identity matrix.
33// It is used where possible to optimize calculations.
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34class WXDLLEXPORT wxTransformMatrix: public wxObject
35{
36public:
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37 wxTransformMatrix(void);
38 wxTransformMatrix(const wxTransformMatrix& mat);
39
40 //get the value in the matrix at col,row
41 //rows are horizontal (second index of m_matrix member)
42 //columns are vertical (first index of m_matrix member)
43 double GetValue(int col, int row) const;
44
45 //set the value in the matrix at col,row
46 //rows are horizontal (second index of m_matrix member)
47 //columns are vertical (first index of m_matrix member)
48 void SetValue(int col, int row, double value);
49
50 void operator = (const wxTransformMatrix& mat);
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51 bool operator == (const wxTransformMatrix& mat) const;
52 bool operator != (const wxTransformMatrix& mat) const;
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53
54 //multiply every element by t
55 wxTransformMatrix& operator*=(const double& t);
56 //divide every element by t
57 wxTransformMatrix& operator/=(const double& t);
58 //add matrix m to this t
59 wxTransformMatrix& operator+=(const wxTransformMatrix& m);
60 //subtract matrix m from this
61 wxTransformMatrix& operator-=(const wxTransformMatrix& m);
62 //multiply matrix m with this
63 wxTransformMatrix& operator*=(const wxTransformMatrix& m);
64
65 // constant operators
66
67 //multiply every element by t and return result
68 wxTransformMatrix operator*(const double& t) const;
69 //divide this matrix by t and return result
70 wxTransformMatrix operator/(const double& t) const;
71 //add matrix m to this and return result
72 wxTransformMatrix operator+(const wxTransformMatrix& m) const;
73 //subtract matrix m from this and return result
74 wxTransformMatrix operator-(const wxTransformMatrix& m) const;
75 //multiply this by matrix m and return result
76 wxTransformMatrix operator*(const wxTransformMatrix& m) const;
77 wxTransformMatrix operator-() const;
78
79 //rows are horizontal (second index of m_matrix member)
80 //columns are vertical (first index of m_matrix member)
81 double& operator()(int col, int row);
82
83 //rows are horizontal (second index of m_matrix member)
84 //columns are vertical (first index of m_matrix member)
85 double operator()(int col, int row) const;
86
87 // Invert matrix
88 bool Invert(void);
89
90 // Make into identity matrix
91 bool Identity(void);
92
93 // Is the matrix the identity matrix?
94 // Only returns a flag, which is set whenever an operation
95 // is done.
96 inline bool IsIdentity(void) const { return m_isIdentity; };
97
98 // This does an actual check.
99 inline bool IsIdentity1(void) const ;
100
101 //Scale by scale (isotropic scaling i.e. the same in x and y):
102 //!ex:
103 //!code: | scale 0 0 |
104 //!code: matrix' = | 0 scale 0 | x matrix
105 //!code: | 0 0 scale |
106 bool Scale(double scale);
107
108 //Scale with center point and x/y scale
109 //
110 //!ex:
111 //!code: | xs 0 xc(1-xs) |
112 //!code: matrix' = | 0 ys yc(1-ys) | x matrix
113 //!code: | 0 0 1 |
114 wxTransformMatrix& Scale(const double &xs, const double &ys,const double &xc, const double &yc);
115
116 // mirror a matrix in x, y
117 //!ex:
118 //!code: | -1 0 0 |
119 //!code: matrix' = | 0 -1 0 | x matrix
120 //!code: | 0 0 1 |
4e32eea1 121 wxTransformMatrix& Mirror(bool x=true, bool y=false);
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122 // Translate by dx, dy:
123 //!ex:
124 //!code: | 1 0 dx |
125 //!code: matrix' = | 0 1 dy | x matrix
126 //!code: | 0 0 1 |
127 bool Translate(double x, double y);
128
129 // Rotate clockwise by the given number of degrees:
130 //!ex:
131 //!code: | cos sin 0 |
132 //!code: matrix' = | -sin cos 0 | x matrix
133 //!code: | 0 0 1 |
134 bool Rotate(double angle);
135
136 //Rotate counter clockwise with point of rotation
137 //
138 //!ex:
139 //!code: | cos(r) -sin(r) x(1-cos(r))+y(sin(r)|
140 //!code: matrix' = | sin(r) cos(r) y(1-cos(r))-x(sin(r)| x matrix
141 //!code: | 0 0 1 |
142 wxTransformMatrix& Rotate(const double &r, const double &x, const double &y);
143
144 // Transform X value from logical to device
145 inline double TransformX(double x) const;
146
147 // Transform Y value from logical to device
148 inline double TransformY(double y) const;
149
150 // Transform a point from logical to device coordinates
151 bool TransformPoint(double x, double y, double& tx, double& ty) const;
152
153 // Transform a point from device to logical coordinates.
154 // Example of use:
155 // wxTransformMatrix mat = dc.GetTransformation();
156 // mat.Invert();
157 // mat.InverseTransformPoint(x, y, x1, y1);
158 // OR (shorthand:)
159 // dc.LogicalToDevice(x, y, x1, y1);
160 // The latter is slightly less efficient if we're doing several
161 // conversions, since the matrix is inverted several times.
162 // N.B. 'this' matrix is the inverse at this point
163 bool InverseTransformPoint(double x, double y, double& tx, double& ty) const;
164
165 double Get_scaleX();
166 double Get_scaleY();
167 double GetRotation();
168 void SetRotation(double rotation);
c801d85f 169
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170
171public:
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172 double m_matrix[3][3];
173 bool m_isIdentity;
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174};
175
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176
177/*
555526fb 178Chris Breeze reported, that
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179some functions of wxTransformMatrix cannot work because it is not
180known if he matrix has been inverted. Be careful when using it.
555526fb 181*/
46dc76ba 182
c801d85f 183// Transform X value from logical to device
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184// warning: this function can only be used for this purpose
185// because no rotation is involved when mapping logical to device coordinates
186// mirror and scaling for x and y will be part of the matrix
187// if you have a matrix that is rotated, eg a shape containing a matrix to place
188// it in the logical coordinate system, use TransformPoint
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189inline double wxTransformMatrix::TransformX(double x) const
190{
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191 //normally like this, but since no rotation is involved (only mirror and scale)
192 //we can do without Y -> m_matrix[1]{0] is -sin(rotation angle) and therefore zero
193 //(x * m_matrix[0][0] + y * m_matrix[1][0] + m_matrix[2][0]))
194 return (m_isIdentity ? x : (x * m_matrix[0][0] + m_matrix[2][0]));
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195}
196
197// Transform Y value from logical to device
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198// warning: this function can only be used for this purpose
199// because no rotation is involved when mapping logical to device coordinates
200// mirror and scaling for x and y will be part of the matrix
201// if you have a matrix that is rotated, eg a shape containing a matrix to place
202// it in the logical coordinate system, use TransformPoint
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203inline double wxTransformMatrix::TransformY(double y) const
204{
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205 //normally like this, but since no rotation is involved (only mirror and scale)
206 //we can do without X -> m_matrix[0]{1] is sin(rotation angle) and therefore zero
207 //(x * m_matrix[0][1] + y * m_matrix[1][1] + m_matrix[2][1]))
208 return (m_isIdentity ? y : (y * m_matrix[1][1] + m_matrix[2][1]));
c801d85f 209}
555526fb 210
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211
212// Is the matrix the identity matrix?
555526fb 213// Each operation checks whether the result is still the identity matrix and sets a flag.
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214inline bool wxTransformMatrix::IsIdentity1(void) const
215{
555526fb 216 return
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217 ( wxIsSameDouble(m_matrix[0][0], 1.0) &&
218 wxIsSameDouble(m_matrix[1][1], 1.0) &&
219 wxIsSameDouble(m_matrix[2][2], 1.0) &&
220 wxIsSameDouble(m_matrix[1][0], 0.0) &&
221 wxIsSameDouble(m_matrix[2][0], 0.0) &&
222 wxIsSameDouble(m_matrix[0][1], 0.0) &&
223 wxIsSameDouble(m_matrix[2][1], 0.0) &&
224 wxIsSameDouble(m_matrix[0][2], 0.0) &&
225 wxIsSameDouble(m_matrix[1][2], 0.0) );
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226}
227
228// Calculates the determinant of a 2 x 2 matrix
229inline double wxCalculateDet(double a11, double a21, double a12, double a22)
230{
555526fb 231 return a11 * a22 - a12 * a21;
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232}
233
c77a6796 234#endif // _WX_MATRIXH__