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Diffstat (limited to 'src/others/mimesh/libg3d-0.0.8/src/matrix.c')
-rw-r--r-- | src/others/mimesh/libg3d-0.0.8/src/matrix.c | 263 |
1 files changed, 263 insertions, 0 deletions
diff --git a/src/others/mimesh/libg3d-0.0.8/src/matrix.c b/src/others/mimesh/libg3d-0.0.8/src/matrix.c new file mode 100644 index 0000000..b2b8815 --- /dev/null +++ b/src/others/mimesh/libg3d-0.0.8/src/matrix.c | |||
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1 | /* $Id$ */ | ||
2 | |||
3 | /* | ||
4 | libg3d - 3D object loading library | ||
5 | |||
6 | Copyright (C) 2005-2009 Markus Dahms <mad@automagically.de> | ||
7 | |||
8 | This library is free software; you can redistribute it and/or | ||
9 | modify it under the terms of the GNU Lesser General Public | ||
10 | License as published by the Free Software Foundation; either | ||
11 | version 2.1 of the License, or (at your option) any later version. | ||
12 | |||
13 | This library is distributed in the hope that it will be useful, | ||
14 | but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
15 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
16 | Lesser General Public License for more details. | ||
17 | |||
18 | You should have received a copy of the GNU Lesser General Public | ||
19 | License along with this library; if not, write to the Free Software | ||
20 | Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA | ||
21 | */ | ||
22 | |||
23 | #include <string.h> | ||
24 | #include <math.h> | ||
25 | #include <glib.h> | ||
26 | #include <g3d/vector.h> | ||
27 | |||
28 | EAPI | ||
29 | gboolean g3d_matrix_identity(G3DMatrix *matrix) | ||
30 | { | ||
31 | static G3DMatrix identity[16] = { | ||
32 | 1.0, 0.0, 0.0, 0.0, | ||
33 | 0.0, 1.0, 0.0, 0.0, | ||
34 | 0.0, 0.0, 1.0, 0.0, | ||
35 | 0.0, 0.0, 0.0, 1.0 }; | ||
36 | |||
37 | memcpy(matrix, identity, sizeof(G3DMatrix) * 16); | ||
38 | return TRUE; | ||
39 | } | ||
40 | |||
41 | EAPI | ||
42 | gboolean g3d_matrix_multiply(G3DMatrix *m1, G3DMatrix *m2, G3DMatrix *rm) | ||
43 | { | ||
44 | guint32 i, j; | ||
45 | G3DMatrix matrix[16]; | ||
46 | |||
47 | for(i = 0; i < 4; i ++) | ||
48 | for(j = 0; j < 4; j ++) | ||
49 | #if 0 | ||
50 | matrix[i * 4 + j] = | ||
51 | m2[0 * 4 + j] * m1[i * 4 + 0] + | ||
52 | m2[1 * 4 + j] * m1[i * 4 + 1] + | ||
53 | m2[2 * 4 + j] * m1[i * 4 + 2] + | ||
54 | m2[3 * 4 + j] * m1[i * 4 + 3]; | ||
55 | #else | ||
56 | matrix[j * 4 + i] = | ||
57 | m2[j * 4 + 0] * m1[0 * 4 + i] + | ||
58 | m2[j * 4 + 1] * m1[1 * 4 + i] + | ||
59 | m2[j * 4 + 2] * m1[2 * 4 + i] + | ||
60 | m2[j * 4 + 3] * m1[3 * 4 + i]; | ||
61 | #endif | ||
62 | |||
63 | memcpy(rm, matrix, 16 * sizeof(G3DMatrix)); | ||
64 | return TRUE; | ||
65 | } | ||
66 | |||
67 | EAPI | ||
68 | gboolean g3d_matrix_rotate(G3DFloat angle, G3DVector ax, G3DVector ay, | ||
69 | G3DVector az, G3DMatrix *rm) | ||
70 | { | ||
71 | g3d_vector_unify(&ax, &ay, &az); | ||
72 | g3d_matrix_identity(rm); | ||
73 | |||
74 | #if 0 | ||
75 | rm[0 * 4 + 0] = cos(angle) + (ax * ax) * (1 - cos(angle)); | ||
76 | rm[0 * 4 + 1] = ax * ay * (1 - cos(angle)) - az * sin(angle); | ||
77 | rm[0 * 4 + 2] = ax * az * (1 - cos(angle)) + ay * sin(angle); | ||
78 | |||
79 | rm[1 * 4 + 0] = ay * ax * (1 - cos(angle)) + az * sin(angle); | ||
80 | rm[1 * 4 + 1] = cos(angle) + (ay * ay) * (1 - cos(angle)); | ||
81 | rm[1 * 4 + 2] = ay * az * (1 - cos(angle)) - ax * sin(angle); | ||
82 | |||
83 | rm[2 * 4 + 0] = az * ax * (1 - cos(angle)) - ay * sin(angle); | ||
84 | rm[2 * 4 + 1] = az * ay * (1 - cos(angle)) + ax * sin(angle); | ||
85 | rm[2 * 4 + 2] = cos(angle) + (az * az) * (1 - cos(angle)); | ||
86 | #else | ||
87 | rm[0 * 4 + 0] = cos(angle) + (ax * ax) * (1 - cos(angle)); | ||
88 | rm[1 * 4 + 0] = ax * ay * (1 - cos(angle)) - az * sin(angle); | ||
89 | rm[2 * 4 + 0] = ax * az * (1 - cos(angle)) + ay * sin(angle); | ||
90 | |||
91 | rm[0 * 4 + 1] = ay * ax * (1 - cos(angle)) + az * sin(angle); | ||
92 | rm[1 * 4 + 1] = cos(angle) + (ay * ay) * (1 - cos(angle)); | ||
93 | rm[2 * 4 + 1] = ay * az * (1 - cos(angle)) - ax * sin(angle); | ||
94 | |||
95 | rm[0 * 4 + 2] = az * ax * (1 - cos(angle)) - ay * sin(angle); | ||
96 | rm[1 * 4 + 2] = az * ay * (1 - cos(angle)) + ax * sin(angle); | ||
97 | rm[2 * 4 + 2] = cos(angle) + (az * az) * (1 - cos(angle)); | ||
98 | #endif | ||
99 | |||
100 | return TRUE; | ||
101 | } | ||
102 | |||
103 | EAPI | ||
104 | gboolean g3d_matrix_rotate_xyz(G3DFloat rx, G3DFloat ry, G3DFloat rz, | ||
105 | G3DMatrix *rm) | ||
106 | { | ||
107 | G3DMatrix matrix[16]; | ||
108 | |||
109 | g3d_matrix_identity(rm); | ||
110 | |||
111 | g3d_matrix_rotate(rx, 1.0, 0.0, 0.0, matrix); | ||
112 | g3d_matrix_multiply(matrix, rm, rm); | ||
113 | |||
114 | g3d_matrix_rotate(ry, 0.0, 1.0, 0.0, matrix); | ||
115 | g3d_matrix_multiply(matrix, rm, rm); | ||
116 | |||
117 | g3d_matrix_rotate(rz, 0.0, 0.0, 1.0, matrix); | ||
118 | g3d_matrix_multiply(matrix, rm, rm); | ||
119 | |||
120 | return TRUE; | ||
121 | } | ||
122 | |||
123 | EAPI | ||
124 | gboolean g3d_matrix_translate(G3DVector x, G3DVector y, G3DVector z, | ||
125 | G3DMatrix *rm) | ||
126 | { | ||
127 | guint32 i; | ||
128 | |||
129 | #if 0 | ||
130 | for(i = 0; i < 4; i ++) | ||
131 | rm[i * 4 + 3] = | ||
132 | rm[i * 4 + 0] * x + | ||
133 | rm[i * 4 + 1] * y + | ||
134 | rm[i * 4 + 2] * z + | ||
135 | rm[i * 4 + 3]; | ||
136 | #else | ||
137 | for(i = 0; i < 4; i ++) | ||
138 | rm[3 * 4 + i] = | ||
139 | rm[0 * 4 + i] * x + | ||
140 | rm[1 * 4 + i] * y + | ||
141 | rm[2 * 4 + i] * z + | ||
142 | rm[3 * 4 + i]; | ||
143 | #endif | ||
144 | return TRUE; | ||
145 | } | ||
146 | |||
147 | EAPI | ||
148 | gboolean g3d_matrix_scale(G3DVector x, G3DVector y, G3DVector z, G3DMatrix *rm) | ||
149 | { | ||
150 | G3DMatrix sm[16]; | ||
151 | |||
152 | g3d_matrix_identity(sm); | ||
153 | sm[0] = x; | ||
154 | sm[5] = y; | ||
155 | sm[10] = z; | ||
156 | |||
157 | g3d_matrix_multiply(rm, sm, rm); | ||
158 | |||
159 | return TRUE; | ||
160 | } | ||
161 | |||
162 | EAPI | ||
163 | gboolean g3d_matrix_transpose(G3DMatrix *matrix) | ||
164 | { | ||
165 | G3DMatrix tmp[16]; | ||
166 | gint32 i, j; | ||
167 | |||
168 | memcpy(tmp, matrix, 16 * sizeof(G3DMatrix)); | ||
169 | |||
170 | for(i = 0; i < 4; i ++) | ||
171 | for(j = 0; j < 4; j ++) | ||
172 | matrix[i * 4 + j] = tmp[j * 4 + i]; | ||
173 | |||
174 | return TRUE; | ||
175 | } | ||
176 | |||
177 | static G3DFloat det2x2(G3DFloat a1, G3DFloat a2, G3DFloat b1, G3DFloat b2) | ||
178 | { | ||
179 | return a1 * b2 - a2 * b1; | ||
180 | } | ||
181 | |||
182 | static G3DFloat det3x3(G3DFloat a1, G3DFloat a2, G3DFloat a3, | ||
183 | G3DFloat b1, G3DFloat b2, G3DFloat b3, | ||
184 | G3DFloat c1, G3DFloat c2, G3DFloat c3) | ||
185 | { | ||
186 | return | ||
187 | a1 * det2x2(b2, b3, c2, c3) - | ||
188 | b1 * det2x2(a2, a3, c2, c3) + | ||
189 | c1 * det2x2(a2, a3, b2, b3); | ||
190 | } | ||
191 | |||
192 | EAPI | ||
193 | G3DFloat g3d_matrix_determinant(G3DMatrix *matrix) | ||
194 | { | ||
195 | G3DFloat a1, a2, a3, a4; | ||
196 | G3DFloat b1, b2, b3, b4; | ||
197 | G3DFloat c1, c2, c3, c4; | ||
198 | G3DFloat d1, d2, d3, d4; | ||
199 | #if 0 | ||
200 | a1 = matrix[0 * 4 + 0]; | ||
201 | a2 = matrix[0 * 4 + 1]; | ||
202 | a3 = matrix[0 * 4 + 2]; | ||
203 | a4 = matrix[0 * 4 + 3]; | ||
204 | |||
205 | b1 = matrix[1 * 4 + 0]; | ||
206 | b2 = matrix[1 * 4 + 1]; | ||
207 | b3 = matrix[1 * 4 + 2]; | ||
208 | b4 = matrix[1 * 4 + 3]; | ||
209 | |||
210 | c1 = matrix[2 * 4 + 0]; | ||
211 | c2 = matrix[2 * 4 + 1]; | ||
212 | c3 = matrix[2 * 4 + 2]; | ||
213 | c4 = matrix[2 * 4 + 3]; | ||
214 | |||
215 | d1 = matrix[3 * 4 + 0]; | ||
216 | d2 = matrix[3 * 4 + 1]; | ||
217 | d3 = matrix[3 * 4 + 2]; | ||
218 | d4 = matrix[3 * 4 + 3]; | ||
219 | #else | ||
220 | a1 = matrix[0 * 4 + 0]; | ||
221 | b1 = matrix[0 * 4 + 1]; | ||
222 | c1 = matrix[0 * 4 + 2]; | ||
223 | d1 = matrix[0 * 4 + 3]; | ||
224 | |||
225 | a2 = matrix[1 * 4 + 0]; | ||
226 | b2 = matrix[1 * 4 + 1]; | ||
227 | c2 = matrix[1 * 4 + 2]; | ||
228 | d2 = matrix[1 * 4 + 3]; | ||
229 | |||
230 | a3 = matrix[2 * 4 + 0]; | ||
231 | b3 = matrix[2 * 4 + 1]; | ||
232 | c3 = matrix[2 * 4 + 2]; | ||
233 | d3 = matrix[2 * 4 + 3]; | ||
234 | |||
235 | a4 = matrix[3 * 4 + 0]; | ||
236 | b4 = matrix[3 * 4 + 1]; | ||
237 | c4 = matrix[3 * 4 + 2]; | ||
238 | d4 = matrix[3 * 4 + 3]; | ||
239 | #endif | ||
240 | return | ||
241 | a1 * det3x3(b2, b3, b4, c2, c3, c4, d2, d3, d4) - | ||
242 | b1 * det3x3(a2, a3, a4, c2, c3, c4, d2, d3, d4) + | ||
243 | c1 * det3x3(a2, a3, a4, b2, b3, b4, d2, d3, d4) - | ||
244 | d1 * det3x3(a2, a3, a4, b2, b3, b4, c2, c3, c4); | ||
245 | } | ||
246 | |||
247 | gboolean g3d_matrix_dump(G3DMatrix *matrix) | ||
248 | { | ||
249 | #if DEBUG > 0 | ||
250 | gint32 row; | ||
251 | |||
252 | for(row = 0; row < 4; row ++) | ||
253 | { | ||
254 | g_debug("[Matrix] % 2.2f % 2.2f % 2.2f % 2.2f", | ||
255 | matrix[0 * 4 + row], matrix[1 * 4 + row], | ||
256 | matrix[2 * 4 + row], matrix[3 * 4 + row]); | ||
257 | } | ||
258 | |||
259 | return TRUE; | ||
260 | #else | ||
261 | return FALSE; | ||
262 | #endif | ||
263 | } | ||