22726e4d |
1 | /****************************************************************************** |
2 | * Arachnoid Graphics Plugin for Mupen64Plus |
3 | * http://bitbucket.org/wahrhaft/mupen64plus-video-arachnoid/ |
4 | * |
5 | * Copyright (C) 2007 Kristofer Karlsson, Rickard Niklasson |
6 | * |
7 | * This program is free software; you can redistribute it and/or |
8 | * modify it under the terms of the GNU General Public License |
9 | * as published by the Free Software Foundation; either version 2 |
10 | * of the License, or (at your option) any later version. |
11 | * |
12 | * This program is distributed in the hope that it will be useful, |
13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
15 | * GNU General Public License for more details. |
16 | * |
17 | * You should have received a copy of the GNU General Public License |
18 | * along with this program; if not, write to the Free Software |
19 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. |
20 | *****************************************************************************/ |
21 | |
22 | #ifndef MATRIX_4_H_ |
23 | #define MATRIX_4_H_ |
24 | |
25 | #include <iostream> |
26 | #include <ostream> |
27 | |
28 | //***************************************************************************** |
29 | //* Matrix4 |
30 | //! Math class defining a 4x4 matrix or an array of 16 float. |
31 | //! @details Used for viewprojection matrix and vertex transformation. |
32 | //***************************************************************************** |
33 | class Matrix4 |
34 | { |
35 | public: |
36 | |
37 | //! The matrix entries, indexed by [row][col]. |
38 | union { |
39 | float m[4][4]; |
40 | float _m[16]; |
41 | }; |
42 | |
43 | public: |
44 | |
45 | //! Default constructor. |
46 | inline Matrix4() { operator=(IDENTITY); } |
47 | inline Matrix4( |
48 | float m00, float m01, float m02, float m03, |
49 | float m10, float m11, float m12, float m13, |
50 | float m20, float m21, float m22, float m23, |
51 | float m30, float m31, float m32, float m33 ) |
52 | { |
53 | m[0][0] = m00; |
54 | m[0][1] = m01; |
55 | m[0][2] = m02; |
56 | m[0][3] = m03; |
57 | m[1][0] = m10; |
58 | m[1][1] = m11; |
59 | m[1][2] = m12; |
60 | m[1][3] = m13; |
61 | m[2][0] = m20; |
62 | m[2][1] = m21; |
63 | m[2][2] = m22; |
64 | m[2][3] = m23; |
65 | m[3][0] = m30; |
66 | m[3][1] = m31; |
67 | m[3][2] = m32; |
68 | m[3][3] = m33; |
69 | } |
70 | |
71 | //! Matrix multiplication |
72 | inline Matrix4 operator * ( const Matrix4 &m2 ) const |
73 | { |
74 | Matrix4 r; |
75 | r.m[0][0] = m[0][0] * m2.m[0][0] + m[0][1] * m2.m[1][0] + m[0][2] * m2.m[2][0] + m[0][3] * m2.m[3][0]; |
76 | r.m[0][1] = m[0][0] * m2.m[0][1] + m[0][1] * m2.m[1][1] + m[0][2] * m2.m[2][1] + m[0][3] * m2.m[3][1]; |
77 | r.m[0][2] = m[0][0] * m2.m[0][2] + m[0][1] * m2.m[1][2] + m[0][2] * m2.m[2][2] + m[0][3] * m2.m[3][2]; |
78 | r.m[0][3] = m[0][0] * m2.m[0][3] + m[0][1] * m2.m[1][3] + m[0][2] * m2.m[2][3] + m[0][3] * m2.m[3][3]; |
79 | |
80 | r.m[1][0] = m[1][0] * m2.m[0][0] + m[1][1] * m2.m[1][0] + m[1][2] * m2.m[2][0] + m[1][3] * m2.m[3][0]; |
81 | r.m[1][1] = m[1][0] * m2.m[0][1] + m[1][1] * m2.m[1][1] + m[1][2] * m2.m[2][1] + m[1][3] * m2.m[3][1]; |
82 | r.m[1][2] = m[1][0] * m2.m[0][2] + m[1][1] * m2.m[1][2] + m[1][2] * m2.m[2][2] + m[1][3] * m2.m[3][2]; |
83 | r.m[1][3] = m[1][0] * m2.m[0][3] + m[1][1] * m2.m[1][3] + m[1][2] * m2.m[2][3] + m[1][3] * m2.m[3][3]; |
84 | |
85 | r.m[2][0] = m[2][0] * m2.m[0][0] + m[2][1] * m2.m[1][0] + m[2][2] * m2.m[2][0] + m[2][3] * m2.m[3][0]; |
86 | r.m[2][1] = m[2][0] * m2.m[0][1] + m[2][1] * m2.m[1][1] + m[2][2] * m2.m[2][1] + m[2][3] * m2.m[3][1]; |
87 | r.m[2][2] = m[2][0] * m2.m[0][2] + m[2][1] * m2.m[1][2] + m[2][2] * m2.m[2][2] + m[2][3] * m2.m[3][2]; |
88 | r.m[2][3] = m[2][0] * m2.m[0][3] + m[2][1] * m2.m[1][3] + m[2][2] * m2.m[2][3] + m[2][3] * m2.m[3][3]; |
89 | |
90 | r.m[3][0] = m[3][0] * m2.m[0][0] + m[3][1] * m2.m[1][0] + m[3][2] * m2.m[2][0] + m[3][3] * m2.m[3][0]; |
91 | r.m[3][1] = m[3][0] * m2.m[0][1] + m[3][1] * m2.m[1][1] + m[3][2] * m2.m[2][1] + m[3][3] * m2.m[3][1]; |
92 | r.m[3][2] = m[3][0] * m2.m[0][2] + m[3][1] * m2.m[1][2] + m[3][2] * m2.m[2][2] + m[3][3] * m2.m[3][2]; |
93 | r.m[3][3] = m[3][0] * m2.m[0][3] + m[3][1] * m2.m[1][3] + m[3][2] * m2.m[2][3] + m[3][3] * m2.m[3][3]; |
94 | |
95 | return r; |
96 | } |
97 | |
98 | //Access operators |
99 | inline float* operator [] ( size_t iRow ) { return m[iRow]; } |
100 | |
101 | inline const float* const operator [] ( size_t iRow ) const { return m[iRow]; } |
102 | |
103 | //! Matrix addition. |
104 | inline Matrix4 operator + ( const Matrix4 &m2 ) const |
105 | { |
106 | Matrix4 r; |
107 | |
108 | r.m[0][0] = m[0][0] + m2.m[0][0]; |
109 | r.m[0][1] = m[0][1] + m2.m[0][1]; |
110 | r.m[0][2] = m[0][2] + m2.m[0][2]; |
111 | r.m[0][3] = m[0][3] + m2.m[0][3]; |
112 | |
113 | r.m[1][0] = m[1][0] + m2.m[1][0]; |
114 | r.m[1][1] = m[1][1] + m2.m[1][1]; |
115 | r.m[1][2] = m[1][2] + m2.m[1][2]; |
116 | r.m[1][3] = m[1][3] + m2.m[1][3]; |
117 | |
118 | r.m[2][0] = m[2][0] + m2.m[2][0]; |
119 | r.m[2][1] = m[2][1] + m2.m[2][1]; |
120 | r.m[2][2] = m[2][2] + m2.m[2][2]; |
121 | r.m[2][3] = m[2][3] + m2.m[2][3]; |
122 | |
123 | r.m[3][0] = m[3][0] + m2.m[3][0]; |
124 | r.m[3][1] = m[3][1] + m2.m[3][1]; |
125 | r.m[3][2] = m[3][2] + m2.m[3][2]; |
126 | r.m[3][3] = m[3][3] + m2.m[3][3]; |
127 | |
128 | return r; |
129 | } |
130 | |
131 | //! Matrix subtraction. |
132 | inline Matrix4 operator - ( const Matrix4 &m2 ) const |
133 | { |
134 | Matrix4 r; |
135 | r.m[0][0] = m[0][0] - m2.m[0][0]; |
136 | r.m[0][1] = m[0][1] - m2.m[0][1]; |
137 | r.m[0][2] = m[0][2] - m2.m[0][2]; |
138 | r.m[0][3] = m[0][3] - m2.m[0][3]; |
139 | |
140 | r.m[1][0] = m[1][0] - m2.m[1][0]; |
141 | r.m[1][1] = m[1][1] - m2.m[1][1]; |
142 | r.m[1][2] = m[1][2] - m2.m[1][2]; |
143 | r.m[1][3] = m[1][3] - m2.m[1][3]; |
144 | |
145 | r.m[2][0] = m[2][0] - m2.m[2][0]; |
146 | r.m[2][1] = m[2][1] - m2.m[2][1]; |
147 | r.m[2][2] = m[2][2] - m2.m[2][2]; |
148 | r.m[2][3] = m[2][3] - m2.m[2][3]; |
149 | |
150 | r.m[3][0] = m[3][0] - m2.m[3][0]; |
151 | r.m[3][1] = m[3][1] - m2.m[3][1]; |
152 | r.m[3][2] = m[3][2] - m2.m[3][2]; |
153 | r.m[3][3] = m[3][3] - m2.m[3][3]; |
154 | |
155 | return r; |
156 | } |
157 | |
158 | //! Tests 2 matrices for equality. |
159 | inline bool operator == ( const Matrix4& m2 ) const |
160 | { |
161 | if( |
162 | m[0][0] != m2.m[0][0] || m[0][1] != m2.m[0][1] || m[0][2] != m2.m[0][2] || m[0][3] != m2.m[0][3] || |
163 | m[1][0] != m2.m[1][0] || m[1][1] != m2.m[1][1] || m[1][2] != m2.m[1][2] || m[1][3] != m2.m[1][3] || |
164 | m[2][0] != m2.m[2][0] || m[2][1] != m2.m[2][1] || m[2][2] != m2.m[2][2] || m[2][3] != m2.m[2][3] || |
165 | m[3][0] != m2.m[3][0] || m[3][1] != m2.m[3][1] || m[3][2] != m2.m[3][2] || m[3][3] != m2.m[3][3] ) |
166 | return false; |
167 | return true; |
168 | } |
169 | |
170 | //! Tests 2 matrices for inequality. |
171 | inline bool operator != ( const Matrix4& m2 ) const |
172 | { |
173 | if( |
174 | m[0][0] != m2.m[0][0] || m[0][1] != m2.m[0][1] || m[0][2] != m2.m[0][2] || m[0][3] != m2.m[0][3] || |
175 | m[1][0] != m2.m[1][0] || m[1][1] != m2.m[1][1] || m[1][2] != m2.m[1][2] || m[1][3] != m2.m[1][3] || |
176 | m[2][0] != m2.m[2][0] || m[2][1] != m2.m[2][1] || m[2][2] != m2.m[2][2] || m[2][3] != m2.m[2][3] || |
177 | m[3][0] != m2.m[3][0] || m[3][1] != m2.m[3][1] || m[3][2] != m2.m[3][2] || m[3][3] != m2.m[3][3] ) |
178 | return true; |
179 | return false; |
180 | } |
181 | |
182 | //!Transpose Matrix (Switch columns with rows) |
183 | inline Matrix4 transpose() const |
184 | { |
185 | return Matrix4(m[0][0], m[1][0], m[2][0], m[3][0], |
186 | m[0][1], m[1][1], m[2][1], m[3][1], |
187 | m[0][2], m[1][2], m[2][2], m[3][2], |
188 | m[0][3], m[1][3], m[2][3], m[3][3]); |
189 | } |
190 | |
191 | //! Set Translation Part of the matrix |
192 | inline void setTranslationPart(const float v[3] ) |
193 | { |
194 | m[0][3] = v[0]; |
195 | m[1][3] = v[1]; |
196 | m[2][3] = v[2]; |
197 | } |
198 | |
199 | //! Builds a translation matrix |
200 | inline void setTranslation(float tx, float ty, float tz) |
201 | { |
202 | m[0][0] = 1.0; m[0][1] = 0.0; m[0][2] = 0.0; m[0][3] = tx; |
203 | m[1][0] = 0.0; m[1][1] = 1.0; m[1][2] = 0.0; m[1][3] = ty; |
204 | m[2][0] = 0.0; m[2][1] = 0.0; m[2][2] = 1.0; m[2][3] = tz; |
205 | m[3][0] = 0.0; m[3][1] = 0.0; m[3][2] = 0.0; m[3][3] = 1.0; |
206 | } |
207 | |
208 | //! Set scale part of matrix |
209 | inline void setScalePart( const float v[3] ) |
210 | { |
211 | m[0][0] = v[0]; |
212 | m[1][1] = v[1]; |
213 | m[2][2] = v[2]; |
214 | } |
215 | |
216 | static const Matrix4 ZERO; |
217 | static const Matrix4 IDENTITY; |
218 | static const Matrix4 CLIPSPACE2DTOIMAGESPACE; //! Useful little matrix which takes 2D clipspace {-1, 1} to {0,1} and inverts the Y. |
219 | |
220 | |
221 | inline Matrix4 operator*(float scalar) const |
222 | { |
223 | return Matrix4( |
224 | scalar*m[0][0], scalar*m[0][1], scalar*m[0][2], scalar*m[0][3], |
225 | scalar*m[1][0], scalar*m[1][1], scalar*m[1][2], scalar*m[1][3], |
226 | scalar*m[2][0], scalar*m[2][1], scalar*m[2][2], scalar*m[2][3], |
227 | scalar*m[3][0], scalar*m[3][1], scalar*m[3][2], scalar*m[3][3]); |
228 | } |
229 | |
230 | //! Function for writing to a stream. |
231 | inline friend std::ostream& operator << ( std::ostream& o, const Matrix4& m ) |
232 | { |
233 | o << "Matrix4("; |
234 | for (size_t i = 0; i < 4; ++i) |
235 | { |
236 | o << " row" << (unsigned)i << "{"; |
237 | for(size_t j = 0; j < 4; ++j) |
238 | { |
239 | o << m[i][j] << " "; |
240 | } |
241 | o << "}"; |
242 | } |
243 | o << ")"; |
244 | return o; |
245 | } |
246 | |
247 | float determinant() const; |
248 | Matrix4 inverse() const; |
249 | |
250 | }; |
251 | |
252 | #endif |