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1///////////////////////////////////////////////////////////////////////////////
2// Name: affinematrix2d.cpp
3// Purpose: implementation of wxAffineMatrix2D
4// Author: Based on wxTransformMatrix by Chris Breeze, Julian Smart
5// Created: 2011-04-05
6// Copyright: (c) wxWidgets team
7// Licence: wxWidgets licence
8///////////////////////////////////////////////////////////////////////////////
9
10#include "wx/wxprec.h"
11
12#ifdef __BORLANDC__
13 #pragma hdrstop
14#endif
15
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16#if wxUSE_GEOMETRY
17
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18#include "wx/affinematrix2d.h"
19#include "wx/math.h"
20
21// sets the matrix to the respective values
22void wxAffineMatrix2D::Set(const wxMatrix2D &mat2D, const wxPoint2DDouble &tr)
23{
24 m_11 = mat2D.m_11;
25 m_12 = mat2D.m_12;
26 m_21 = mat2D.m_21;
27 m_22 = mat2D.m_22;
28 m_tx = tr.m_x;
29 m_ty = tr.m_y;
30}
31
32// gets the component valuess of the matrix
33void wxAffineMatrix2D::Get(wxMatrix2D *mat2D, wxPoint2DDouble *tr) const
34{
35 mat2D->m_11 = m_11;
36 mat2D->m_12 = m_12;
37 mat2D->m_21 = m_21;
38 mat2D->m_22 = m_22;
39
40 if ( tr )
41 {
42 tr->m_x = m_tx;
43 tr->m_y = m_ty;
44 }
45}
46
47// concatenates the matrix
48// | t.m_11 t.m_12 0 | | m_11 m_12 0 |
49// | t.m_21 t.m_22 0 | x | m_21 m_22 0 |
50// | t.m_tx t.m_ty 1 | | m_tx m_ty 1 |
51void wxAffineMatrix2D::Concat(const wxAffineMatrix2DBase &t)
52{
53 wxMatrix2D mat;
54 wxPoint2DDouble tr;
55 t.Get(&mat, &tr);
56
57 m_tx += tr.m_x*m_11 + tr.m_y*m_21;
58 m_ty += tr.m_x*m_12 + tr.m_y*m_22;
59 wxDouble e11 = mat.m_11*m_11 + mat.m_12*m_21;
60 wxDouble e12 = mat.m_11*m_12 + mat.m_12*m_22;
61 wxDouble e21 = mat.m_21*m_11 + mat.m_22*m_21;
62 m_22 = mat.m_21*m_12 + mat.m_22*m_22;
63 m_11 = e11;
64 m_12 = e12;
65 m_21 = e21;
66}
67
68// makes this its inverse matrix.
69// Invert
70// | m_11 m_12 0 |
71// | m_21 m_22 0 |
72// | m_tx m_ty 1 |
73bool wxAffineMatrix2D::Invert()
74{
75 const wxDouble det = m_11*m_22 - m_12*m_21;
76
77 if ( !det )
78 return false;
79
80 wxDouble ex = (m_21*m_ty - m_22*m_tx) / det;
81 m_ty = (-m_11*m_ty + m_12*m_tx) / det;
82 m_tx = ex;
83 wxDouble e11 = m_22 / det;
84 m_12 = -m_12 / det;
85 m_21 = -m_21 / det;
86 m_22 = m_11 / det;
87 m_11 = e11;
88
89 return true;
90}
91
92// returns true if the elements of the transformation matrix are equal
93bool wxAffineMatrix2D::IsEqual(const wxAffineMatrix2DBase& t) const
94{
95 wxMatrix2D mat;
96 wxPoint2DDouble tr;
97 t.Get(&mat, &tr);
98
99 return m_11 == mat.m_11 && m_12 == mat.m_12 &&
100 m_21 == mat.m_21 && m_22 == mat.m_22 &&
101 m_tx == tr.m_x && m_ty == tr.m_y;
102}
103
104//
105// transformations
106//
107
108// add the translation to this matrix
109void wxAffineMatrix2D::Translate(wxDouble dx, wxDouble dy)
110{
111 m_tx += dx;
112 m_ty += dy;
113}
114
115// add the scale to this matrix
116// | xScale 0 0 | | m_11 m_12 0 |
117// | 0 yScale 0 | x | m_21 m_22 0 |
118// | 0 0 1 | | m_tx m_ty 1 |
119void wxAffineMatrix2D::Scale(wxDouble xScale, wxDouble yScale)
120{
121 m_11 *= xScale;
122 m_12 *= xScale;
123 m_21 *= yScale;
124 m_22 *= yScale;
125}
126
127// add the rotation to this matrix (counter clockwise, radians)
128// | cos -sin 0 | | m_11 m_12 0 |
129// | sin cos 0 | x | m_21 m_22 0 |
130// | 0 0 1 | | m_tx m_ty 1 |
131void wxAffineMatrix2D::Rotate(wxDouble ccRadians)
132{
133 wxDouble c = cos(ccRadians);
134 wxDouble s = sin(ccRadians);
135
136 wxDouble e11 = c*m_11 - s*m_21;
137 wxDouble e12 = c*m_12 - s*m_22;
138 m_21 = s*m_11 + c*m_21;
139 m_22 = s*m_12 + c*m_22;
140 m_11 = e11;
141 m_12 = e12;
142}
143
144//
145// apply the transforms
146//
147
148// applies that matrix to the point
149// | m_11 m_12 0 |
150// | src.m_x src._my 1 | x | m_21 m_22 0 |
151// | m_tx m_ty 1 |
152wxPoint2DDouble
153wxAffineMatrix2D::DoTransformPoint(const wxPoint2DDouble& src) const
154{
155 if ( IsIdentity() )
156 return src;
157
158 return wxPoint2DDouble(src.m_x * m_11 + src.m_y * m_21 + m_tx,
159 src.m_y * m_12 + src.m_y * m_22 + m_ty);
160}
161
162// applies the matrix except for translations
163// | m_11 m_12 0 |
164// | src.m_x src._my 0 | x | m_21 m_22 0 |
165// | m_tx m_ty 1 |
166wxPoint2DDouble
167wxAffineMatrix2D::DoTransformDistance(const wxPoint2DDouble& src) const
168{
169 if ( IsIdentity() )
170 return src;
171
172 return wxPoint2DDouble(src.m_x * m_11 + src.m_y * m_21,
173 src.m_y * m_12 + src.m_y * m_22);
174}
175
176bool wxAffineMatrix2D::IsIdentity() const
177{
178 return m_11 == 1 && m_12 == 0 &&
179 m_21 == 0 && m_22 == 1 &&
180 m_tx == 0 && m_ty == 0;
181}
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182
183#endif // wxUSE_GEOMETRY