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
|
<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd">
<html>
<head>
<title>SFML - Simple and Fast Multimedia Library</title>
<meta http-equiv="Content-Type" content="text/html;charset=UTF-8" />
<link href="doxygen.css" rel="stylesheet" type="text/css" />
<link href="tabs.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="logo">
<img src="./logo.jpg" width="770" height="200" title="SFML home" alt="SFML logo" />
</div>
<!-- Generated by Doxygen 1.5.8 -->
<div class="navigation" id="top">
<div class="tabs">
<ul>
<li><a href="index.htm"><span>Main Page</span></a></li>
<li><a href="namespaces.htm"><span>Namespaces</span></a></li>
<li><a href="annotated.htm"><span>Classes</span></a></li>
<li class="current"><a href="files.htm"><span>Files</span></a></li>
</ul>
</div>
<div class="tabs">
<ul>
<li><a href="files.htm"><span>File List</span></a></li>
</ul>
</div>
<h1>Matrix3.inl</h1><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001
<a name="l00002"></a>00002 <span class="comment">//</span>
<a name="l00003"></a>00003 <span class="comment">// SFGE - Simple and Fast Multimedia Library</span>
<a name="l00004"></a>00004 <span class="comment">// Copyright (C) 2007-2009 Laurent Gomila (laurent.gom@gmail.com)</span>
<a name="l00005"></a>00005 <span class="comment">//</span>
<a name="l00006"></a>00006 <span class="comment">// This software is provided 'as-is', without any express or implied warranty.</span>
<a name="l00007"></a>00007 <span class="comment">// In no event will the authors be held liable for any damages arising from the use of this software.</span>
<a name="l00008"></a>00008 <span class="comment">//</span>
<a name="l00009"></a>00009 <span class="comment">// Permission is granted to anyone to use this software for any purpose,</span>
<a name="l00010"></a>00010 <span class="comment">// including commercial applications, and to alter it and redistribute it freely,</span>
<a name="l00011"></a>00011 <span class="comment">// subject to the following restrictions:</span>
<a name="l00012"></a>00012 <span class="comment">//</span>
<a name="l00013"></a>00013 <span class="comment">// 1. The origin of this software must not be misrepresented;</span>
<a name="l00014"></a>00014 <span class="comment">// you must not claim that you wrote the original software.</span>
<a name="l00015"></a>00015 <span class="comment">// If you use this software in a product, an acknowledgment</span>
<a name="l00016"></a>00016 <span class="comment">// in the product documentation would be appreciated but is not required.</span>
<a name="l00017"></a>00017 <span class="comment">//</span>
<a name="l00018"></a>00018 <span class="comment">// 2. Altered source versions must be plainly marked as such,</span>
<a name="l00019"></a>00019 <span class="comment">// and must not be misrepresented as being the original software.</span>
<a name="l00020"></a>00020 <span class="comment">//</span>
<a name="l00021"></a>00021 <span class="comment">// 3. This notice may not be removed or altered from any source distribution.</span>
<a name="l00022"></a>00022 <span class="comment">//</span>
<a name="l00024"></a>00024 <span class="comment"></span>
<a name="l00025"></a>00025
<a name="l00029"></a>00029 <span class="keyword">inline</span> Matrix3::Matrix3()
<a name="l00030"></a>00030 {
<a name="l00031"></a>00031 myData[0] = 1.f; myData[4] = 0.f; myData[8] = 0.f; myData[12] = 0.f;
<a name="l00032"></a>00032 myData[1] = 0.f; myData[5] = 1.f; myData[9] = 0.f; myData[13] = 0.f;
<a name="l00033"></a>00033 myData[2] = 0.f; myData[6] = 0.f; myData[10] = 1.f; myData[14] = 0.f;
<a name="l00034"></a>00034 myData[3] = 0.f; myData[7] = 0.f; myData[11] = 0.f; myData[15] = 1.f;
<a name="l00035"></a>00035 }
<a name="l00036"></a>00036
<a name="l00037"></a>00037
<a name="l00041"></a>00041 <span class="keyword">inline</span> <a class="code" href="classsf_1_1Matrix3.htm#c91b75704a916deb3febe39e06962b4c" title="Default constructor (builds an identity matrix).">Matrix3::Matrix3</a>(<span class="keywordtype">float</span> a00, <span class="keywordtype">float</span> a01, <span class="keywordtype">float</span> a02,
<a name="l00042"></a>00042 <span class="keywordtype">float</span> a10, <span class="keywordtype">float</span> a11, <span class="keywordtype">float</span> a12,
<a name="l00043"></a>00043 <span class="keywordtype">float</span> a20, <span class="keywordtype">float</span> a21, <span class="keywordtype">float</span> a22)
<a name="l00044"></a>00044 {
<a name="l00045"></a>00045 myData[0] = a00; myData[4] = a01; myData[8] = 0.f; myData[12] = a02;
<a name="l00046"></a>00046 myData[1] = a10; myData[5] = a11; myData[9] = 0.f; myData[13] = a12;
<a name="l00047"></a>00047 myData[2] = 0.f; myData[6] = 0.f; myData[10] = 1.f; myData[14] = 0.f;
<a name="l00048"></a>00048 myData[3] = a20; myData[7] = a21; myData[11] = 0.f; myData[15] = a22;
<a name="l00049"></a>00049 }
<a name="l00050"></a>00050
<a name="l00051"></a>00051
<a name="l00055"></a>00055 <span class="keyword">inline</span> <span class="keywordtype">void</span> <a class="code" href="classsf_1_1Matrix3.htm#beb18b51c51229e809725e4cd5741b2d" title="Build a matrix from a set of transformations.">Matrix3::SetFromTransformations</a>(<span class="keyword">const</span> Vector2f& Center, <span class="keyword">const</span> Vector2f& Translation, <span class="keywordtype">float</span> Rotation, <span class="keyword">const</span> Vector2f& Scale)
<a name="l00056"></a>00056 {
<a name="l00057"></a>00057 <span class="keywordtype">float</span> Angle = Rotation * 3.141592654f / 180.f;
<a name="l00058"></a>00058 <span class="keywordtype">float</span> Cos = <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(cos(Angle));
<a name="l00059"></a>00059 <span class="keywordtype">float</span> Sin = <span class="keyword">static_cast<</span><span class="keywordtype">float</span><span class="keyword">></span>(sin(Angle));
<a name="l00060"></a>00060 <span class="keywordtype">float</span> SxCos = Scale.x * Cos;
<a name="l00061"></a>00061 <span class="keywordtype">float</span> SyCos = Scale.y * Cos;
<a name="l00062"></a>00062 <span class="keywordtype">float</span> SxSin = Scale.x * Sin;
<a name="l00063"></a>00063 <span class="keywordtype">float</span> SySin = Scale.y * Sin;
<a name="l00064"></a>00064 <span class="keywordtype">float</span> Tx = -Center.x * SxCos - Center.y * SySin + Translation.x;
<a name="l00065"></a>00065 <span class="keywordtype">float</span> Ty = Center.x * SxSin - Center.y * SyCos + Translation.y;
<a name="l00066"></a>00066
<a name="l00067"></a>00067 myData[0] = SxCos; myData[4] = SySin; myData[8] = 0.f; myData[12] = Tx;
<a name="l00068"></a>00068 myData[1] = -SxSin; myData[5] = SyCos; myData[9] = 0.f; myData[13] = Ty;
<a name="l00069"></a>00069 myData[2] = 0.f; myData[6] = 0.f; myData[10] = 1.f; myData[14] = 0.f;
<a name="l00070"></a>00070 myData[3] = 0.f; myData[7] = 0.f; myData[11] = 0.f; myData[15] = 1.f;
<a name="l00071"></a>00071 }
<a name="l00072"></a>00072
<a name="l00073"></a>00073
<a name="l00077"></a>00077 <span class="keyword">inline</span> Vector2f <a class="code" href="classsf_1_1Matrix3.htm#8cb1106305307a8fbf8450f4aa6f4151" title="Transform a point by the matrix.">Matrix3::Transform</a>(<span class="keyword">const</span> Vector2f& Point)<span class="keyword"> const</span>
<a name="l00078"></a>00078 <span class="keyword"></span>{
<a name="l00079"></a>00079 <span class="keywordflow">return</span> Vector2f(myData[0] * Point.x + myData[4] * Point.y + myData[12],
<a name="l00080"></a>00080 myData[1] * Point.x + myData[5] * Point.y + myData[13]);
<a name="l00081"></a>00081 }
<a name="l00082"></a>00082
<a name="l00083"></a>00083
<a name="l00087"></a>00087 <span class="keyword">inline</span> Matrix3 <a class="code" href="classsf_1_1Matrix3.htm#fa7b544f401812b55ace055043385e8e" title="Return the inverse of the matrix.">Matrix3::GetInverse</a>()<span class="keyword"> const</span>
<a name="l00088"></a>00088 <span class="keyword"></span>{
<a name="l00089"></a>00089 <span class="comment">// Compute the determinant</span>
<a name="l00090"></a>00090 <span class="keywordtype">float</span> Det = myData[0] * (myData[15] * myData[5] - myData[7] * myData[13]) -
<a name="l00091"></a>00091 myData[1] * (myData[15] * myData[4] - myData[7] * myData[12]) +
<a name="l00092"></a>00092 myData[3] * (myData[13] * myData[4] - myData[5] * myData[12]);
<a name="l00093"></a>00093
<a name="l00094"></a>00094 <span class="comment">// Compute the inverse if determinant is not zero</span>
<a name="l00095"></a>00095 <span class="keywordflow">if</span> ((Det < -1E-7f) || (Det > 1E-7f))
<a name="l00096"></a>00096 {
<a name="l00097"></a>00097 <span class="keywordflow">return</span> <a class="code" href="classsf_1_1Matrix3.htm#c91b75704a916deb3febe39e06962b4c" title="Default constructor (builds an identity matrix).">Matrix3</a>( (myData[15] * myData[5] - myData[7] * myData[13]) / Det,
<a name="l00098"></a>00098 -(myData[15] * myData[4] - myData[7] * myData[12]) / Det,
<a name="l00099"></a>00099 (myData[13] * myData[4] - myData[5] * myData[12]) / Det,
<a name="l00100"></a>00100 -(myData[15] * myData[1] - myData[3] * myData[13]) / Det,
<a name="l00101"></a>00101 (myData[15] * myData[0] - myData[3] * myData[12]) / Det,
<a name="l00102"></a>00102 -(myData[13] * myData[0] - myData[1] * myData[12]) / Det,
<a name="l00103"></a>00103 (myData[7] * myData[1] - myData[3] * myData[5]) / Det,
<a name="l00104"></a>00104 -(myData[7] * myData[0] - myData[3] * myData[4]) / Det,
<a name="l00105"></a>00105 (myData[5] * myData[0] - myData[1] * myData[4]) / Det);
<a name="l00106"></a>00106 }
<a name="l00107"></a>00107 <span class="keywordflow">else</span>
<a name="l00108"></a>00108 {
<a name="l00109"></a>00109 <span class="keywordflow">return</span> <a class="code" href="classsf_1_1Matrix3.htm#fa5a43545e529d8b8628ca42289ef40a" title="Identity matrix.">Identity</a>;
<a name="l00110"></a>00110 }
<a name="l00111"></a>00111 }
<a name="l00112"></a>00112
<a name="l00113"></a>00113
<a name="l00118"></a>00118 <span class="keyword">inline</span> <span class="keyword">const</span> <span class="keywordtype">float</span>* <a class="code" href="classsf_1_1Matrix3.htm#ff23cbd3d056d404a566a62dea4c98c1" title="Return the elements of the matrix as a 4x4, in an array of 16 floats.">Matrix3::Get4x4Elements</a>()<span class="keyword"> const</span>
<a name="l00119"></a>00119 <span class="keyword"></span>{
<a name="l00120"></a>00120 <span class="keywordflow">return</span> myData;
<a name="l00121"></a>00121 }
<a name="l00122"></a>00122
<a name="l00123"></a>00123
<a name="l00127"></a>00127 <span class="keyword">inline</span> <span class="keywordtype">float</span> <a class="code" href="classsf_1_1Matrix3.htm#fffc96664df9bfc7aff4b95a6b11aea8" title="Operator () overloads to access the matrix elements.">Matrix3::operator ()</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> Row, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> Col)<span class="keyword"> const</span>
<a name="l00128"></a>00128 <span class="keyword"></span>{
<a name="l00129"></a>00129 <span class="keywordflow">switch</span> (Row + Col * 3)
<a name="l00130"></a>00130 {
<a name="l00131"></a>00131 <span class="keywordflow">case</span> 0 : <span class="keywordflow">return</span> myData[0];
<a name="l00132"></a>00132 <span class="keywordflow">case</span> 1 : <span class="keywordflow">return</span> myData[1];
<a name="l00133"></a>00133 <span class="keywordflow">case</span> 2 : <span class="keywordflow">return</span> myData[3];
<a name="l00134"></a>00134 <span class="keywordflow">case</span> 3 : <span class="keywordflow">return</span> myData[4];
<a name="l00135"></a>00135 <span class="keywordflow">case</span> 4 : <span class="keywordflow">return</span> myData[5];
<a name="l00136"></a>00136 <span class="keywordflow">case</span> 5 : <span class="keywordflow">return</span> myData[7];
<a name="l00137"></a>00137 <span class="keywordflow">case</span> 6 : <span class="keywordflow">return</span> myData[12];
<a name="l00138"></a>00138 <span class="keywordflow">case</span> 7 : <span class="keywordflow">return</span> myData[13];
<a name="l00139"></a>00139 <span class="keywordflow">case</span> 8 : <span class="keywordflow">return</span> myData[15];
<a name="l00140"></a>00140
<a name="l00141"></a>00141 <span class="keywordflow">default</span> : <span class="keywordflow">return</span> myData[0];
<a name="l00142"></a>00142 }
<a name="l00143"></a>00143 }
<a name="l00144"></a>00144 <span class="keyword">inline</span> <span class="keywordtype">float</span>& <a class="code" href="classsf_1_1Matrix3.htm#fffc96664df9bfc7aff4b95a6b11aea8" title="Operator () overloads to access the matrix elements.">Matrix3::operator ()</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> Row, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> Col)
<a name="l00145"></a>00145 {
<a name="l00146"></a>00146 <span class="keywordflow">switch</span> (Row + Col * 3)
<a name="l00147"></a>00147 {
<a name="l00148"></a>00148 <span class="keywordflow">case</span> 0 : <span class="keywordflow">return</span> myData[0];
<a name="l00149"></a>00149 <span class="keywordflow">case</span> 1 : <span class="keywordflow">return</span> myData[1];
<a name="l00150"></a>00150 <span class="keywordflow">case</span> 2 : <span class="keywordflow">return</span> myData[3];
<a name="l00151"></a>00151 <span class="keywordflow">case</span> 3 : <span class="keywordflow">return</span> myData[4];
<a name="l00152"></a>00152 <span class="keywordflow">case</span> 4 : <span class="keywordflow">return</span> myData[5];
<a name="l00153"></a>00153 <span class="keywordflow">case</span> 5 : <span class="keywordflow">return</span> myData[7];
<a name="l00154"></a>00154 <span class="keywordflow">case</span> 6 : <span class="keywordflow">return</span> myData[12];
<a name="l00155"></a>00155 <span class="keywordflow">case</span> 7 : <span class="keywordflow">return</span> myData[13];
<a name="l00156"></a>00156 <span class="keywordflow">case</span> 8 : <span class="keywordflow">return</span> myData[15];
<a name="l00157"></a>00157
<a name="l00158"></a>00158 <span class="keywordflow">default</span> : <span class="keywordflow">return</span> myData[0];
<a name="l00159"></a>00159 }
<a name="l00160"></a>00160 }
<a name="l00161"></a>00161
<a name="l00162"></a>00162
<a name="l00166"></a>00166 <span class="keyword">inline</span> Matrix3 <a class="code" href="classsf_1_1Matrix3.htm#695f753f4aa2cd617c1cecdfa0212e28" title="Operator * overload to multiply two matrices.">Matrix3::operator *</a>(<span class="keyword">const</span> Matrix3& Mat)<span class="keyword"> const</span>
<a name="l00167"></a>00167 <span class="keyword"></span>{
<a name="l00168"></a>00168 <span class="keywordflow">return</span> <a class="code" href="classsf_1_1Matrix3.htm#c91b75704a916deb3febe39e06962b4c" title="Default constructor (builds an identity matrix).">Matrix3</a>(myData[0] * Mat.myData[0] + myData[4] * Mat.myData[1] + myData[12] * Mat.myData[3],
<a name="l00169"></a>00169 myData[0] * Mat.myData[4] + myData[4] * Mat.myData[5] + myData[12] * Mat.myData[7],
<a name="l00170"></a>00170 myData[0] * Mat.myData[12] + myData[4] * Mat.myData[13] + myData[12] * Mat.myData[15],
<a name="l00171"></a>00171 myData[1] * Mat.myData[0] + myData[5] * Mat.myData[1] + myData[13] * Mat.myData[3],
<a name="l00172"></a>00172 myData[1] * Mat.myData[4] + myData[5] * Mat.myData[5] + myData[13] * Mat.myData[7],
<a name="l00173"></a>00173 myData[1] * Mat.myData[12] + myData[5] * Mat.myData[13] + myData[13] * Mat.myData[15],
<a name="l00174"></a>00174 myData[3] * Mat.myData[0] + myData[7] * Mat.myData[1] + myData[15] * Mat.myData[3],
<a name="l00175"></a>00175 myData[3] * Mat.myData[4] + myData[7] * Mat.myData[5] + myData[15] * Mat.myData[7],
<a name="l00176"></a>00176 myData[3] * Mat.myData[12] + myData[7] * Mat.myData[13] + myData[15] * Mat.myData[15]);
<a name="l00177"></a>00177 }
<a name="l00178"></a>00178
<a name="l00179"></a>00179
<a name="l00183"></a>00183 <span class="keyword">inline</span> Matrix3& <a class="code" href="classsf_1_1Matrix3.htm#ac08a84563176fb77613c43adf402966" title="Operator *= overload to multiply-assign two matrices.">Matrix3::operator *=</a>(<span class="keyword">const</span> Matrix3& Mat)
<a name="l00184"></a>00184 {
<a name="l00185"></a>00185 <span class="keywordflow">return</span> *<span class="keyword">this</span> = *<span class="keyword">this</span> * Mat;
<a name="l00186"></a>00186 }
</pre></div></div>
<p id="footer">
:: Copyright © 2007-2008 Laurent Gomila, all rights reserved ::
Documentation generated by <a href="http://www.doxygen.org/" title="doxygen website">doxygen 1.5.2</a> ::
</p>
</body>
</html>
|
