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1 | <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "xhtml1-transitional.dtd"> |
2 | <!-- saved from url=(0013)about:internet --> | |
3 | <?xml-stylesheet type="text/xsl" href="mathml.xsl"?><html xmlns="http://www.w3.org/1999/xhtml" xmlns:pref="http://www.w3.org/2002/Math/preference" pref:renderer="mathplayer-dl"><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8" /><title>glMultTransposeMatrix</title><meta name="generator" content="DocBook XSL Stylesheets V1.73.2" /></head><body><div class="refentry" lang="en" xml:lang="en"><a id="glMultTransposeMatrix"></a><div class="titlepage"></div><div class="refnamediv"><h2>Name</h2><p>glMultTransposeMatrix — multiply the current matrix with the specified row-major ordered matrix</p></div><div class="refsynopsisdiv"><h2>C Specification</h2><div class="funcsynopsis"><table border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"><tr><td><code class="funcdef">void <b class="fsfunc">glMultTransposeMatrixd</b>(</code></td><td>const GLdouble * </td><td><var class="pdparam">m</var><code>)</code>;</td></tr></table></div><div class="funcsynopsis"><table border="0" summary="Function synopsis" cellspacing="0" cellpadding="0"><tr><td><code class="funcdef">void <b class="fsfunc">glMultTransposeMatrixf</b>(</code></td><td>const GLfloat * </td><td><var class="pdparam">m</var><code>)</code>;</td></tr></table></div></div><div class="refsect1" lang="en" xml:lang="en"><a id="parameters"></a><h2>Parameters</h2><div class="variablelist"><dl><dt><span class="term"><em class="parameter"><code>m</code></em></span></dt><dd><p> | |
4 | Points to 16 consecutive values that are used as the elements of | |
5 | a | |
6 | <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> | |
7 | ||
8 | <mml:mrow> | |
9 | <mml:mn>4</mml:mn> | |
10 | <mml:mo>×</mml:mo> | |
11 | <mml:mn>4</mml:mn> | |
12 | </mml:mrow> | |
13 | </mml:math> | |
14 | row-major matrix. | |
15 | </p></dd></dl></div></div><div class="refsect1" lang="en" xml:lang="en"><a id="description"></a><h2>Description</h2><p> | |
16 | <code class="function">glMultTransposeMatrix</code> multiplies the current matrix with the one specified using <em class="parameter"><code>m</code></em>, and | |
17 | replaces the current matrix with the product. | |
18 | </p><p> | |
19 | The current matrix is determined by the current matrix mode (see | |
20 | <a class="citerefentry" href="glMatrixMode.xml"><span class="citerefentry"><span class="refentrytitle">glMatrixMode</span></span></a>). It is either the projection matrix, modelview matrix, | |
21 | or the texture matrix. | |
22 | </p></div><div class="refsect1" lang="en" xml:lang="en"><a id="examples"></a><h2>Examples</h2><p> | |
23 | If the current matrix is | |
24 | <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">C</mml:mi></mml:math> | |
25 | and the coordinates | |
26 | to be transformed are | |
27 | <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> | |
28 | ||
29 | <mml:mrow> | |
30 | <mml:mi mathvariant="italic">v</mml:mi> | |
31 | <mml:mo>=</mml:mo> | |
32 | <mml:mfenced open="(" close=")"> | |
33 | <mml:mrow> | |
34 | <mml:mi mathvariant="italic">v</mml:mi> | |
35 | <mml:mo></mml:mo> | |
36 | <mml:mfenced open="[" close="]"> | |
37 | <mml:mn>0</mml:mn> | |
38 | </mml:mfenced> | |
39 | </mml:mrow> | |
40 | <mml:mrow> | |
41 | <mml:mi mathvariant="italic">v</mml:mi> | |
42 | <mml:mo></mml:mo> | |
43 | <mml:mfenced open="[" close="]"> | |
44 | <mml:mn>1</mml:mn> | |
45 | </mml:mfenced> | |
46 | </mml:mrow> | |
47 | <mml:mrow> | |
48 | <mml:mi mathvariant="italic">v</mml:mi> | |
49 | <mml:mo></mml:mo> | |
50 | <mml:mfenced open="[" close="]"> | |
51 | <mml:mn>2</mml:mn> | |
52 | </mml:mfenced> | |
53 | </mml:mrow> | |
54 | <mml:mrow> | |
55 | <mml:mi mathvariant="italic">v</mml:mi> | |
56 | <mml:mo></mml:mo> | |
57 | <mml:mfenced open="[" close="]"> | |
58 | <mml:mn>3</mml:mn> | |
59 | </mml:mfenced> | |
60 | </mml:mrow> | |
61 | </mml:mfenced> | |
62 | </mml:mrow> | |
63 | </mml:math>, | |
64 | then the current transformation is | |
65 | <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> | |
66 | ||
67 | <mml:mrow> | |
68 | <mml:mi mathvariant="italic">C</mml:mi> | |
69 | <mml:mo>×</mml:mo> | |
70 | <mml:mi mathvariant="italic">v</mml:mi> | |
71 | </mml:mrow> | |
72 | </mml:math>, | |
73 | or | |
74 | </p><p> | |
75 | </p><div class="informalequation"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> | |
76 | ||
77 | <mml:mrow> | |
78 | <mml:mfenced open="(" close=")"> | |
79 | <mml:mtable> | |
80 | <mml:mtr> | |
81 | <mml:mtd> | |
82 | <mml:mrow> | |
83 | <mml:mi mathvariant="italic">c</mml:mi> | |
84 | <mml:mo></mml:mo> | |
85 | <mml:mfenced open="[" close="]"> | |
86 | <mml:mn>0</mml:mn> | |
87 | </mml:mfenced> | |
88 | </mml:mrow> | |
89 | </mml:mtd> | |
90 | <mml:mtd> | |
91 | <mml:mrow> | |
92 | <mml:mi mathvariant="italic">c</mml:mi> | |
93 | <mml:mo></mml:mo> | |
94 | <mml:mfenced open="[" close="]"> | |
95 | <mml:mn>4</mml:mn> | |
96 | </mml:mfenced> | |
97 | </mml:mrow> | |
98 | </mml:mtd> | |
99 | <mml:mtd> | |
100 | <mml:mrow> | |
101 | <mml:mi mathvariant="italic">c</mml:mi> | |
102 | <mml:mo></mml:mo> | |
103 | <mml:mfenced open="[" close="]"> | |
104 | <mml:mn>8</mml:mn> | |
105 | </mml:mfenced> | |
106 | </mml:mrow> | |
107 | </mml:mtd> | |
108 | <mml:mtd> | |
109 | <mml:mrow> | |
110 | <mml:mi mathvariant="italic">c</mml:mi> | |
111 | <mml:mo></mml:mo> | |
112 | <mml:mfenced open="[" close="]"> | |
113 | <mml:mn>12</mml:mn> | |
114 | </mml:mfenced> | |
115 | </mml:mrow> | |
116 | </mml:mtd> | |
117 | </mml:mtr> | |
118 | <mml:mtr> | |
119 | <mml:mtd> | |
120 | <mml:mrow> | |
121 | <mml:mi mathvariant="italic">c</mml:mi> | |
122 | <mml:mo></mml:mo> | |
123 | <mml:mfenced open="[" close="]"> | |
124 | <mml:mn>1</mml:mn> | |
125 | </mml:mfenced> | |
126 | </mml:mrow> | |
127 | </mml:mtd> | |
128 | <mml:mtd> | |
129 | <mml:mrow> | |
130 | <mml:mi mathvariant="italic">c</mml:mi> | |
131 | <mml:mo></mml:mo> | |
132 | <mml:mfenced open="[" close="]"> | |
133 | <mml:mn>5</mml:mn> | |
134 | </mml:mfenced> | |
135 | </mml:mrow> | |
136 | </mml:mtd> | |
137 | <mml:mtd> | |
138 | <mml:mrow> | |
139 | <mml:mi mathvariant="italic">c</mml:mi> | |
140 | <mml:mo></mml:mo> | |
141 | <mml:mfenced open="[" close="]"> | |
142 | <mml:mn>9</mml:mn> | |
143 | </mml:mfenced> | |
144 | </mml:mrow> | |
145 | </mml:mtd> | |
146 | <mml:mtd> | |
147 | <mml:mrow> | |
148 | <mml:mi mathvariant="italic">c</mml:mi> | |
149 | <mml:mo></mml:mo> | |
150 | <mml:mfenced open="[" close="]"> | |
151 | <mml:mn>13</mml:mn> | |
152 | </mml:mfenced> | |
153 | </mml:mrow> | |
154 | </mml:mtd> | |
155 | </mml:mtr> | |
156 | <mml:mtr> | |
157 | <mml:mtd> | |
158 | <mml:mrow> | |
159 | <mml:mi mathvariant="italic">c</mml:mi> | |
160 | <mml:mo></mml:mo> | |
161 | <mml:mfenced open="[" close="]"> | |
162 | <mml:mn>2</mml:mn> | |
163 | </mml:mfenced> | |
164 | </mml:mrow> | |
165 | </mml:mtd> | |
166 | <mml:mtd> | |
167 | <mml:mrow> | |
168 | <mml:mi mathvariant="italic">c</mml:mi> | |
169 | <mml:mo></mml:mo> | |
170 | <mml:mfenced open="[" close="]"> | |
171 | <mml:mn>6</mml:mn> | |
172 | </mml:mfenced> | |
173 | </mml:mrow> | |
174 | </mml:mtd> | |
175 | <mml:mtd> | |
176 | <mml:mrow> | |
177 | <mml:mi mathvariant="italic">c</mml:mi> | |
178 | <mml:mo></mml:mo> | |
179 | <mml:mfenced open="[" close="]"> | |
180 | <mml:mn>10</mml:mn> | |
181 | </mml:mfenced> | |
182 | </mml:mrow> | |
183 | </mml:mtd> | |
184 | <mml:mtd> | |
185 | <mml:mrow> | |
186 | <mml:mi mathvariant="italic">c</mml:mi> | |
187 | <mml:mo></mml:mo> | |
188 | <mml:mfenced open="[" close="]"> | |
189 | <mml:mn>14</mml:mn> | |
190 | </mml:mfenced> | |
191 | </mml:mrow> | |
192 | </mml:mtd> | |
193 | </mml:mtr> | |
194 | <mml:mtr> | |
195 | <mml:mtd> | |
196 | <mml:mrow> | |
197 | <mml:mi mathvariant="italic">c</mml:mi> | |
198 | <mml:mo></mml:mo> | |
199 | <mml:mfenced open="[" close="]"> | |
200 | <mml:mn>3</mml:mn> | |
201 | </mml:mfenced> | |
202 | </mml:mrow> | |
203 | </mml:mtd> | |
204 | <mml:mtd> | |
205 | <mml:mrow> | |
206 | <mml:mi mathvariant="italic">c</mml:mi> | |
207 | <mml:mo></mml:mo> | |
208 | <mml:mfenced open="[" close="]"> | |
209 | <mml:mn>7</mml:mn> | |
210 | </mml:mfenced> | |
211 | </mml:mrow> | |
212 | </mml:mtd> | |
213 | <mml:mtd> | |
214 | <mml:mrow> | |
215 | <mml:mi mathvariant="italic">c</mml:mi> | |
216 | <mml:mo></mml:mo> | |
217 | <mml:mfenced open="[" close="]"> | |
218 | <mml:mn>11</mml:mn> | |
219 | </mml:mfenced> | |
220 | </mml:mrow> | |
221 | </mml:mtd> | |
222 | <mml:mtd> | |
223 | <mml:mrow> | |
224 | <mml:mi mathvariant="italic">c</mml:mi> | |
225 | <mml:mo></mml:mo> | |
226 | <mml:mfenced open="[" close="]"> | |
227 | <mml:mn>15</mml:mn> | |
228 | </mml:mfenced> | |
229 | </mml:mrow> | |
230 | </mml:mtd> | |
231 | </mml:mtr> | |
232 | </mml:mtable> | |
233 | </mml:mfenced> | |
234 | <mml:mo>×</mml:mo> | |
235 | <mml:mfenced open="(" close=")"> | |
236 | <mml:mtable> | |
237 | <mml:mtr> | |
238 | <mml:mtd> | |
239 | <mml:mrow> | |
240 | <mml:mi mathvariant="italic">v</mml:mi> | |
241 | <mml:mo></mml:mo> | |
242 | <mml:mfenced open="[" close="]"> | |
243 | <mml:mn>0</mml:mn> | |
244 | </mml:mfenced> | |
245 | </mml:mrow> | |
246 | </mml:mtd> | |
247 | </mml:mtr> | |
248 | <mml:mtr> | |
249 | <mml:mtd> | |
250 | <mml:mrow> | |
251 | <mml:mi mathvariant="italic">v</mml:mi> | |
252 | <mml:mo></mml:mo> | |
253 | <mml:mfenced open="[" close="]"> | |
254 | <mml:mn>1</mml:mn> | |
255 | </mml:mfenced> | |
256 | </mml:mrow> | |
257 | </mml:mtd> | |
258 | </mml:mtr> | |
259 | <mml:mtr> | |
260 | <mml:mtd> | |
261 | <mml:mrow> | |
262 | <mml:mi mathvariant="italic">v</mml:mi> | |
263 | <mml:mo></mml:mo> | |
264 | <mml:mfenced open="[" close="]"> | |
265 | <mml:mn>2</mml:mn> | |
266 | </mml:mfenced> | |
267 | </mml:mrow> | |
268 | </mml:mtd> | |
269 | </mml:mtr> | |
270 | <mml:mtr> | |
271 | <mml:mtd> | |
272 | <mml:mrow> | |
273 | <mml:mi mathvariant="italic">v</mml:mi> | |
274 | <mml:mo></mml:mo> | |
275 | <mml:mfenced open="[" close="]"> | |
276 | <mml:mn>3</mml:mn> | |
277 | </mml:mfenced> | |
278 | </mml:mrow> | |
279 | </mml:mtd> | |
280 | </mml:mtr> | |
281 | </mml:mtable> | |
282 | </mml:mfenced> | |
283 | </mml:mrow> | |
284 | </mml:math></div><p> | |
285 | </p><p> | |
286 | </p><p> | |
287 | Calling <code class="function">glMultTransposeMatrix</code> with an argument of | |
288 | <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> | |
289 | ||
290 | <mml:mrow> | |
291 | <mml:mrow> | |
292 | <mml:mi mathvariant="italic">m</mml:mi> | |
293 | <mml:mo></mml:mo> | |
294 | <mml:mfenced open="[" close="]"> | |
295 | <mml:mn>16</mml:mn> | |
296 | </mml:mfenced> | |
297 | </mml:mrow> | |
298 | <mml:mo>=</mml:mo> | |
299 | <mml:mfenced open="{" close="}"> | |
300 | <mml:mrow> | |
301 | <mml:mi mathvariant="italic">m</mml:mi> | |
302 | <mml:mo></mml:mo> | |
303 | <mml:mfenced open="[" close="]"> | |
304 | <mml:mn>0</mml:mn> | |
305 | </mml:mfenced> | |
306 | </mml:mrow> | |
307 | <mml:mrow> | |
308 | <mml:mi mathvariant="italic">m</mml:mi> | |
309 | <mml:mo></mml:mo> | |
310 | <mml:mfenced open="[" close="]"> | |
311 | <mml:mn>1</mml:mn> | |
312 | </mml:mfenced> | |
313 | </mml:mrow> | |
314 | <mml:mi mathvariant="italic">...</mml:mi> | |
315 | <mml:mrow> | |
316 | <mml:mi mathvariant="italic">m</mml:mi> | |
317 | <mml:mo></mml:mo> | |
318 | <mml:mfenced open="[" close="]"> | |
319 | <mml:mn>15</mml:mn> | |
320 | </mml:mfenced> | |
321 | </mml:mrow> | |
322 | </mml:mfenced> | |
323 | </mml:mrow> | |
324 | </mml:math> | |
325 | replaces the current transformation with | |
326 | <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> | |
327 | ||
328 | <mml:mrow> | |
329 | <mml:mfenced open="(" close=")"> | |
330 | <mml:mrow> | |
331 | <mml:mi mathvariant="italic">C</mml:mi> | |
332 | <mml:mo>×</mml:mo> | |
333 | <mml:mi mathvariant="italic">M</mml:mi> | |
334 | </mml:mrow> | |
335 | </mml:mfenced> | |
336 | <mml:mo>×</mml:mo> | |
337 | <mml:mi mathvariant="italic">v</mml:mi> | |
338 | </mml:mrow> | |
339 | </mml:math>, | |
340 | or | |
341 | </p><p> | |
342 | </p><div class="informalequation"><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> | |
343 | ||
344 | <mml:mrow> | |
345 | <mml:mfenced open="(" close=")"> | |
346 | <mml:mtable> | |
347 | <mml:mtr> | |
348 | <mml:mtd> | |
349 | <mml:mrow> | |
350 | <mml:mi mathvariant="italic">c</mml:mi> | |
351 | <mml:mo></mml:mo> | |
352 | <mml:mfenced open="[" close="]"> | |
353 | <mml:mn>0</mml:mn> | |
354 | </mml:mfenced> | |
355 | </mml:mrow> | |
356 | </mml:mtd> | |
357 | <mml:mtd> | |
358 | <mml:mrow> | |
359 | <mml:mi mathvariant="italic">c</mml:mi> | |
360 | <mml:mo></mml:mo> | |
361 | <mml:mfenced open="[" close="]"> | |
362 | <mml:mn>4</mml:mn> | |
363 | </mml:mfenced> | |
364 | </mml:mrow> | |
365 | </mml:mtd> | |
366 | <mml:mtd> | |
367 | <mml:mrow> | |
368 | <mml:mi mathvariant="italic">c</mml:mi> | |
369 | <mml:mo></mml:mo> | |
370 | <mml:mfenced open="[" close="]"> | |
371 | <mml:mn>8</mml:mn> | |
372 | </mml:mfenced> | |
373 | </mml:mrow> | |
374 | </mml:mtd> | |
375 | <mml:mtd> | |
376 | <mml:mrow> | |
377 | <mml:mi mathvariant="italic">c</mml:mi> | |
378 | <mml:mo></mml:mo> | |
379 | <mml:mfenced open="[" close="]"> | |
380 | <mml:mn>12</mml:mn> | |
381 | </mml:mfenced> | |
382 | </mml:mrow> | |
383 | </mml:mtd> | |
384 | </mml:mtr> | |
385 | <mml:mtr> | |
386 | <mml:mtd> | |
387 | <mml:mrow> | |
388 | <mml:mi mathvariant="italic">c</mml:mi> | |
389 | <mml:mo></mml:mo> | |
390 | <mml:mfenced open="[" close="]"> | |
391 | <mml:mn>1</mml:mn> | |
392 | </mml:mfenced> | |
393 | </mml:mrow> | |
394 | </mml:mtd> | |
395 | <mml:mtd> | |
396 | <mml:mrow> | |
397 | <mml:mi mathvariant="italic">c</mml:mi> | |
398 | <mml:mo></mml:mo> | |
399 | <mml:mfenced open="[" close="]"> | |
400 | <mml:mn>5</mml:mn> | |
401 | </mml:mfenced> | |
402 | </mml:mrow> | |
403 | </mml:mtd> | |
404 | <mml:mtd> | |
405 | <mml:mrow> | |
406 | <mml:mi mathvariant="italic">c</mml:mi> | |
407 | <mml:mo></mml:mo> | |
408 | <mml:mfenced open="[" close="]"> | |
409 | <mml:mn>9</mml:mn> | |
410 | </mml:mfenced> | |
411 | </mml:mrow> | |
412 | </mml:mtd> | |
413 | <mml:mtd> | |
414 | <mml:mrow> | |
415 | <mml:mi mathvariant="italic">c</mml:mi> | |
416 | <mml:mo></mml:mo> | |
417 | <mml:mfenced open="[" close="]"> | |
418 | <mml:mn>13</mml:mn> | |
419 | </mml:mfenced> | |
420 | </mml:mrow> | |
421 | </mml:mtd> | |
422 | </mml:mtr> | |
423 | <mml:mtr> | |
424 | <mml:mtd> | |
425 | <mml:mrow> | |
426 | <mml:mi mathvariant="italic">c</mml:mi> | |
427 | <mml:mo></mml:mo> | |
428 | <mml:mfenced open="[" close="]"> | |
429 | <mml:mn>2</mml:mn> | |
430 | </mml:mfenced> | |
431 | </mml:mrow> | |
432 | </mml:mtd> | |
433 | <mml:mtd> | |
434 | <mml:mrow> | |
435 | <mml:mi mathvariant="italic">c</mml:mi> | |
436 | <mml:mo></mml:mo> | |
437 | <mml:mfenced open="[" close="]"> | |
438 | <mml:mn>6</mml:mn> | |
439 | </mml:mfenced> | |
440 | </mml:mrow> | |
441 | </mml:mtd> | |
442 | <mml:mtd> | |
443 | <mml:mrow> | |
444 | <mml:mi mathvariant="italic">c</mml:mi> | |
445 | <mml:mo></mml:mo> | |
446 | <mml:mfenced open="[" close="]"> | |
447 | <mml:mn>10</mml:mn> | |
448 | </mml:mfenced> | |
449 | </mml:mrow> | |
450 | </mml:mtd> | |
451 | <mml:mtd> | |
452 | <mml:mrow> | |
453 | <mml:mi mathvariant="italic">c</mml:mi> | |
454 | <mml:mo></mml:mo> | |
455 | <mml:mfenced open="[" close="]"> | |
456 | <mml:mn>14</mml:mn> | |
457 | </mml:mfenced> | |
458 | </mml:mrow> | |
459 | </mml:mtd> | |
460 | </mml:mtr> | |
461 | <mml:mtr> | |
462 | <mml:mtd> | |
463 | <mml:mrow> | |
464 | <mml:mi mathvariant="italic">c</mml:mi> | |
465 | <mml:mo></mml:mo> | |
466 | <mml:mfenced open="[" close="]"> | |
467 | <mml:mn>3</mml:mn> | |
468 | </mml:mfenced> | |
469 | </mml:mrow> | |
470 | </mml:mtd> | |
471 | <mml:mtd> | |
472 | <mml:mrow> | |
473 | <mml:mi mathvariant="italic">c</mml:mi> | |
474 | <mml:mo></mml:mo> | |
475 | <mml:mfenced open="[" close="]"> | |
476 | <mml:mn>7</mml:mn> | |
477 | </mml:mfenced> | |
478 | </mml:mrow> | |
479 | </mml:mtd> | |
480 | <mml:mtd> | |
481 | <mml:mrow> | |
482 | <mml:mi mathvariant="italic">c</mml:mi> | |
483 | <mml:mo></mml:mo> | |
484 | <mml:mfenced open="[" close="]"> | |
485 | <mml:mn>11</mml:mn> | |
486 | </mml:mfenced> | |
487 | </mml:mrow> | |
488 | </mml:mtd> | |
489 | <mml:mtd> | |
490 | <mml:mrow> | |
491 | <mml:mi mathvariant="italic">c</mml:mi> | |
492 | <mml:mo></mml:mo> | |
493 | <mml:mfenced open="[" close="]"> | |
494 | <mml:mn>15</mml:mn> | |
495 | </mml:mfenced> | |
496 | </mml:mrow> | |
497 | </mml:mtd> | |
498 | </mml:mtr> | |
499 | </mml:mtable> | |
500 | </mml:mfenced> | |
501 | <mml:mo>×</mml:mo> | |
502 | <mml:mfenced open="(" close=")"> | |
503 | <mml:mtable> | |
504 | <mml:mtr> | |
505 | <mml:mtd> | |
506 | <mml:mrow> | |
507 | <mml:mi mathvariant="italic">m</mml:mi> | |
508 | <mml:mo></mml:mo> | |
509 | <mml:mfenced open="[" close="]"> | |
510 | <mml:mn>0</mml:mn> | |
511 | </mml:mfenced> | |
512 | </mml:mrow> | |
513 | </mml:mtd> | |
514 | <mml:mtd> | |
515 | <mml:mrow> | |
516 | <mml:mi mathvariant="italic">m</mml:mi> | |
517 | <mml:mo></mml:mo> | |
518 | <mml:mfenced open="[" close="]"> | |
519 | <mml:mn>1</mml:mn> | |
520 | </mml:mfenced> | |
521 | </mml:mrow> | |
522 | </mml:mtd> | |
523 | <mml:mtd> | |
524 | <mml:mrow> | |
525 | <mml:mi mathvariant="italic">m</mml:mi> | |
526 | <mml:mo></mml:mo> | |
527 | <mml:mfenced open="[" close="]"> | |
528 | <mml:mn>2</mml:mn> | |
529 | </mml:mfenced> | |
530 | </mml:mrow> | |
531 | </mml:mtd> | |
532 | <mml:mtd> | |
533 | <mml:mrow> | |
534 | <mml:mi mathvariant="italic">m</mml:mi> | |
535 | <mml:mo></mml:mo> | |
536 | <mml:mfenced open="[" close="]"> | |
537 | <mml:mn>3</mml:mn> | |
538 | </mml:mfenced> | |
539 | </mml:mrow> | |
540 | </mml:mtd> | |
541 | </mml:mtr> | |
542 | <mml:mtr> | |
543 | <mml:mtd> | |
544 | <mml:mrow> | |
545 | <mml:mi mathvariant="italic">m</mml:mi> | |
546 | <mml:mo></mml:mo> | |
547 | <mml:mfenced open="[" close="]"> | |
548 | <mml:mn>4</mml:mn> | |
549 | </mml:mfenced> | |
550 | </mml:mrow> | |
551 | </mml:mtd> | |
552 | <mml:mtd> | |
553 | <mml:mrow> | |
554 | <mml:mi mathvariant="italic">m</mml:mi> | |
555 | <mml:mo></mml:mo> | |
556 | <mml:mfenced open="[" close="]"> | |
557 | <mml:mn>5</mml:mn> | |
558 | </mml:mfenced> | |
559 | </mml:mrow> | |
560 | </mml:mtd> | |
561 | <mml:mtd> | |
562 | <mml:mrow> | |
563 | <mml:mi mathvariant="italic">m</mml:mi> | |
564 | <mml:mo></mml:mo> | |
565 | <mml:mfenced open="[" close="]"> | |
566 | <mml:mn>6</mml:mn> | |
567 | </mml:mfenced> | |
568 | </mml:mrow> | |
569 | </mml:mtd> | |
570 | <mml:mtd> | |
571 | <mml:mrow> | |
572 | <mml:mi mathvariant="italic">m</mml:mi> | |
573 | <mml:mo></mml:mo> | |
574 | <mml:mfenced open="[" close="]"> | |
575 | <mml:mn>7</mml:mn> | |
576 | </mml:mfenced> | |
577 | </mml:mrow> | |
578 | </mml:mtd> | |
579 | </mml:mtr> | |
580 | <mml:mtr> | |
581 | <mml:mtd> | |
582 | <mml:mrow> | |
583 | <mml:mi mathvariant="italic">m</mml:mi> | |
584 | <mml:mo></mml:mo> | |
585 | <mml:mfenced open="[" close="]"> | |
586 | <mml:mn>8</mml:mn> | |
587 | </mml:mfenced> | |
588 | </mml:mrow> | |
589 | </mml:mtd> | |
590 | <mml:mtd> | |
591 | <mml:mrow> | |
592 | <mml:mi mathvariant="italic">m</mml:mi> | |
593 | <mml:mo></mml:mo> | |
594 | <mml:mfenced open="[" close="]"> | |
595 | <mml:mn>9</mml:mn> | |
596 | </mml:mfenced> | |
597 | </mml:mrow> | |
598 | </mml:mtd> | |
599 | <mml:mtd> | |
600 | <mml:mrow> | |
601 | <mml:mi mathvariant="italic">m</mml:mi> | |
602 | <mml:mo></mml:mo> | |
603 | <mml:mfenced open="[" close="]"> | |
604 | <mml:mn>10</mml:mn> | |
605 | </mml:mfenced> | |
606 | </mml:mrow> | |
607 | </mml:mtd> | |
608 | <mml:mtd> | |
609 | <mml:mrow> | |
610 | <mml:mi mathvariant="italic">m</mml:mi> | |
611 | <mml:mo></mml:mo> | |
612 | <mml:mfenced open="[" close="]"> | |
613 | <mml:mn>11</mml:mn> | |
614 | </mml:mfenced> | |
615 | </mml:mrow> | |
616 | </mml:mtd> | |
617 | </mml:mtr> | |
618 | <mml:mtr> | |
619 | <mml:mtd> | |
620 | <mml:mrow> | |
621 | <mml:mi mathvariant="italic">m</mml:mi> | |
622 | <mml:mo></mml:mo> | |
623 | <mml:mfenced open="[" close="]"> | |
624 | <mml:mn>12</mml:mn> | |
625 | </mml:mfenced> | |
626 | </mml:mrow> | |
627 | </mml:mtd> | |
628 | <mml:mtd> | |
629 | <mml:mrow> | |
630 | <mml:mi mathvariant="italic">m</mml:mi> | |
631 | <mml:mo></mml:mo> | |
632 | <mml:mfenced open="[" close="]"> | |
633 | <mml:mn>13</mml:mn> | |
634 | </mml:mfenced> | |
635 | </mml:mrow> | |
636 | </mml:mtd> | |
637 | <mml:mtd> | |
638 | <mml:mrow> | |
639 | <mml:mi mathvariant="italic">m</mml:mi> | |
640 | <mml:mo></mml:mo> | |
641 | <mml:mfenced open="[" close="]"> | |
642 | <mml:mn>14</mml:mn> | |
643 | </mml:mfenced> | |
644 | </mml:mrow> | |
645 | </mml:mtd> | |
646 | <mml:mtd> | |
647 | <mml:mrow> | |
648 | <mml:mi mathvariant="italic">m</mml:mi> | |
649 | <mml:mo></mml:mo> | |
650 | <mml:mfenced open="[" close="]"> | |
651 | <mml:mn>15</mml:mn> | |
652 | </mml:mfenced> | |
653 | </mml:mrow> | |
654 | </mml:mtd> | |
655 | </mml:mtr> | |
656 | </mml:mtable> | |
657 | </mml:mfenced> | |
658 | <mml:mo>×</mml:mo> | |
659 | <mml:mfenced open="(" close=")"> | |
660 | <mml:mtable> | |
661 | <mml:mtr> | |
662 | <mml:mtd> | |
663 | <mml:mrow> | |
664 | <mml:mi mathvariant="italic">v</mml:mi> | |
665 | <mml:mo></mml:mo> | |
666 | <mml:mfenced open="[" close="]"> | |
667 | <mml:mn>0</mml:mn> | |
668 | </mml:mfenced> | |
669 | </mml:mrow> | |
670 | </mml:mtd> | |
671 | </mml:mtr> | |
672 | <mml:mtr> | |
673 | <mml:mtd> | |
674 | <mml:mrow> | |
675 | <mml:mi mathvariant="italic">v</mml:mi> | |
676 | <mml:mo></mml:mo> | |
677 | <mml:mfenced open="[" close="]"> | |
678 | <mml:mn>1</mml:mn> | |
679 | </mml:mfenced> | |
680 | </mml:mrow> | |
681 | </mml:mtd> | |
682 | </mml:mtr> | |
683 | <mml:mtr> | |
684 | <mml:mtd> | |
685 | <mml:mrow> | |
686 | <mml:mi mathvariant="italic">v</mml:mi> | |
687 | <mml:mo></mml:mo> | |
688 | <mml:mfenced open="[" close="]"> | |
689 | <mml:mn>2</mml:mn> | |
690 | </mml:mfenced> | |
691 | </mml:mrow> | |
692 | </mml:mtd> | |
693 | </mml:mtr> | |
694 | <mml:mtr> | |
695 | <mml:mtd> | |
696 | <mml:mrow> | |
697 | <mml:mi mathvariant="italic">v</mml:mi> | |
698 | <mml:mo></mml:mo> | |
699 | <mml:mfenced open="[" close="]"> | |
700 | <mml:mn>3</mml:mn> | |
701 | </mml:mfenced> | |
702 | </mml:mrow> | |
703 | </mml:mtd> | |
704 | </mml:mtr> | |
705 | </mml:mtable> | |
706 | </mml:mfenced> | |
707 | </mml:mrow> | |
708 | </mml:math></div><p> | |
709 | </p><p> | |
710 | </p><p> | |
711 | Where | |
712 | <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">v</mml:mi></mml:math> | |
713 | is represented as a | |
714 | <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> | |
715 | ||
716 | <mml:mrow> | |
717 | <mml:mn>4</mml:mn> | |
718 | <mml:mo>×</mml:mo> | |
719 | <mml:mn>1</mml:mn> | |
720 | </mml:mrow> | |
721 | </mml:math> | |
722 | matrix. | |
723 | </p><p> | |
724 | Calling <code class="function">glMultTransposeMatrix</code> with matrix | |
725 | <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">M</mml:mi></mml:math> | |
726 | is identical in operation to | |
727 | <a class="citerefentry" href="glMultMatrix.xml"><span class="citerefentry"><span class="refentrytitle">glMultMatrix</span></span></a> with | |
728 | <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> | |
729 | ||
730 | <mml:msup><mml:mi mathvariant="italic">M</mml:mi> | |
731 | <mml:mi mathvariant="italic">T</mml:mi> | |
732 | </mml:msup> | |
733 | </mml:math>, | |
734 | where | |
735 | <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"><mml:mi mathvariant="italic">T</mml:mi></mml:math> | |
736 | represents the transpose. | |
737 | </p></div><div class="refsect1" lang="en" xml:lang="en"><a id="notes"></a><h2>Notes</h2><p> | |
738 | <code class="function">glMultTransposeMatrix</code> is available only if the GL version is 1.3 or greater. | |
739 | </p><p> | |
740 | While the elements of the matrix may be specified with | |
741 | single or double precision, the GL may store or operate on these | |
742 | values in less-than-single precision. | |
743 | </p><p> | |
744 | The order of the multiplication is important. For example, if the current | |
745 | transformation is a rotation, and <code class="function">glMultTransposeMatrix</code> is called with a translation matrix, | |
746 | the translation is done directly on the coordinates to be transformed, | |
747 | while the rotation is done on the results of that translation. | |
748 | </p></div><div class="refsect1" lang="en" xml:lang="en"><a id="errors"></a><h2>Errors</h2><p> | |
749 | <code class="constant">GL_INVALID_OPERATION</code> is generated if <code class="function">glMultTransposeMatrix</code> | |
750 | is executed between the execution of <a class="citerefentry" href="glBegin.xml"><span class="citerefentry"><span class="refentrytitle">glBegin</span></span></a> | |
751 | and the corresponding execution of <a class="citerefentry" href="glEnd.xml"><span class="citerefentry"><span class="refentrytitle">glEnd</span></span></a>. | |
752 | </p></div><div class="refsect1" lang="en" xml:lang="en"><a id="associatedgets"></a><h2>Associated Gets</h2><p> | |
753 | <a class="citerefentry" href="glGet.xml"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_MATRIX_MODE</code> | |
754 | </p><p> | |
755 | <a class="citerefentry" href="glGet.xml"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_COLOR_MATRIX</code> | |
756 | </p><p> | |
757 | <a class="citerefentry" href="glGet.xml"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_MODELVIEW_MATRIX</code> | |
758 | </p><p> | |
759 | <a class="citerefentry" href="glGet.xml"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_PROJECTION_MATRIX</code> | |
760 | </p><p> | |
761 | <a class="citerefentry" href="glGet.xml"><span class="citerefentry"><span class="refentrytitle">glGet</span></span></a> with argument <code class="constant">GL_TEXTURE_MATRIX</code> | |
762 | </p></div><div class="refsect1" lang="en" xml:lang="en"><a id="seealso"></a><h2>See Also</h2><p> | |
763 | <a class="citerefentry" href="glLoadIdentity.xml"><span class="citerefentry"><span class="refentrytitle">glLoadIdentity</span></span></a>, | |
764 | <a class="citerefentry" href="glLoadMatrix.xml"><span class="citerefentry"><span class="refentrytitle">glLoadMatrix</span></span></a>, | |
765 | <a class="citerefentry" href="glLoadTransposeMatrix.xml"><span class="citerefentry"><span class="refentrytitle">glLoadTransposeMatrix</span></span></a>, | |
766 | <a class="citerefentry" href="glMatrixMode.xml"><span class="citerefentry"><span class="refentrytitle">glMatrixMode</span></span></a>, | |
767 | <a class="citerefentry" href="glPushMatrix.xml"><span class="citerefentry"><span class="refentrytitle">glPushMatrix</span></span></a> | |
768 | </p></div><div class="refsect1" lang="en" xml:lang="en"><a id="Copyright"></a><h2>Copyright</h2><p> | |
769 | Copyright <span class="trademark"></span>© 1991-2006 | |
770 | Silicon Graphics, Inc. This document is licensed under the SGI | |
771 | Free Software B License. For details, see | |
772 | <a class="ulink" href="http://oss.sgi.com/projects/FreeB/" target="_top">http://oss.sgi.com/projects/FreeB/</a>. | |
773 | </p></div></div></body></html> |