module-mat4.html 108 KB

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  1. <!DOCTYPE html>
  2. <html lang="en">
  3. <head>
  4. <meta charset="utf-8">
  5. <title>JSDoc: Module: mat4</title>
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  14. <body>
  15. <div id="main">
  16. <h1 class="page-title">Module: mat4</h1>
  17. <section>
  18. <header>
  19. </header>
  20. <article>
  21. <div class="container-overview">
  22. <div class="description">4x4 Matrix<br>Format: column-major, when typed out it looks like row-major<br>The matrices are being post multiplied.</div>
  23. <dl class="details">
  24. <dt class="tag-source">Source:</dt>
  25. <dd class="tag-source"><ul class="dummy"><li>
  26. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line3">line 3</a>
  27. </li></ul></dd>
  28. </dl>
  29. </div>
  30. <h3 class="subsection-title">Methods</h3>
  31. <h4 class="name" id=".add"><span class="type-signature">(static) </span>add<span class="signature">(out, a, b)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  32. <div class="description">
  33. Adds two mat4's
  34. </div>
  35. <h5>Parameters:</h5>
  36. <table class="params">
  37. <thead>
  38. <tr>
  39. <th>Name</th>
  40. <th>Type</th>
  41. <th class="last">Description</th>
  42. </tr>
  43. </thead>
  44. <tbody>
  45. <tr>
  46. <td class="name"><code>out</code></td>
  47. <td class="type">
  48. <span class="param-type">mat4</span>
  49. </td>
  50. <td class="description last">the receiving matrix</td>
  51. </tr>
  52. <tr>
  53. <td class="name"><code>a</code></td>
  54. <td class="type">
  55. <span class="param-type">mat4</span>
  56. </td>
  57. <td class="description last">the first operand</td>
  58. </tr>
  59. <tr>
  60. <td class="name"><code>b</code></td>
  61. <td class="type">
  62. <span class="param-type">mat4</span>
  63. </td>
  64. <td class="description last">the second operand</td>
  65. </tr>
  66. </tbody>
  67. </table>
  68. <dl class="details">
  69. <dt class="tag-source">Source:</dt>
  70. <dd class="tag-source"><ul class="dummy"><li>
  71. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1550">line 1550</a>
  72. </li></ul></dd>
  73. </dl>
  74. <h5>Returns:</h5>
  75. <div class="param-desc">
  76. out
  77. </div>
  78. <dl>
  79. <dt>
  80. Type
  81. </dt>
  82. <dd>
  83. <span class="param-type">mat4</span>
  84. </dd>
  85. </dl>
  86. <h4 class="name" id=".adjoint"><span class="type-signature">(static) </span>adjoint<span class="signature">(out, a)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  87. <div class="description">
  88. Calculates the adjugate of a mat4
  89. </div>
  90. <h5>Parameters:</h5>
  91. <table class="params">
  92. <thead>
  93. <tr>
  94. <th>Name</th>
  95. <th>Type</th>
  96. <th class="last">Description</th>
  97. </tr>
  98. </thead>
  99. <tbody>
  100. <tr>
  101. <td class="name"><code>out</code></td>
  102. <td class="type">
  103. <span class="param-type">mat4</span>
  104. </td>
  105. <td class="description last">the receiving matrix</td>
  106. </tr>
  107. <tr>
  108. <td class="name"><code>a</code></td>
  109. <td class="type">
  110. <span class="param-type">mat4</span>
  111. </td>
  112. <td class="description last">the source matrix</td>
  113. </tr>
  114. </tbody>
  115. </table>
  116. <dl class="details">
  117. <dt class="tag-source">Source:</dt>
  118. <dd class="tag-source"><ul class="dummy"><li>
  119. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line310">line 310</a>
  120. </li></ul></dd>
  121. </dl>
  122. <h5>Returns:</h5>
  123. <div class="param-desc">
  124. out
  125. </div>
  126. <dl>
  127. <dt>
  128. Type
  129. </dt>
  130. <dd>
  131. <span class="param-type">mat4</span>
  132. </dd>
  133. </dl>
  134. <h4 class="name" id=".clone"><span class="type-signature">(static) </span>clone<span class="signature">(a)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  135. <div class="description">
  136. Creates a new mat4 initialized with values from an existing matrix
  137. </div>
  138. <h5>Parameters:</h5>
  139. <table class="params">
  140. <thead>
  141. <tr>
  142. <th>Name</th>
  143. <th>Type</th>
  144. <th class="last">Description</th>
  145. </tr>
  146. </thead>
  147. <tbody>
  148. <tr>
  149. <td class="name"><code>a</code></td>
  150. <td class="type">
  151. <span class="param-type">mat4</span>
  152. </td>
  153. <td class="description last">matrix to clone</td>
  154. </tr>
  155. </tbody>
  156. </table>
  157. <dl class="details">
  158. <dt class="tag-source">Source:</dt>
  159. <dd class="tag-source"><ul class="dummy"><li>
  160. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line42">line 42</a>
  161. </li></ul></dd>
  162. </dl>
  163. <h5>Returns:</h5>
  164. <div class="param-desc">
  165. a new 4x4 matrix
  166. </div>
  167. <dl>
  168. <dt>
  169. Type
  170. </dt>
  171. <dd>
  172. <span class="param-type">mat4</span>
  173. </dd>
  174. </dl>
  175. <h4 class="name" id=".copy"><span class="type-signature">(static) </span>copy<span class="signature">(out, a)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  176. <div class="description">
  177. Copy the values from one mat4 to another
  178. </div>
  179. <h5>Parameters:</h5>
  180. <table class="params">
  181. <thead>
  182. <tr>
  183. <th>Name</th>
  184. <th>Type</th>
  185. <th class="last">Description</th>
  186. </tr>
  187. </thead>
  188. <tbody>
  189. <tr>
  190. <td class="name"><code>out</code></td>
  191. <td class="type">
  192. <span class="param-type">mat4</span>
  193. </td>
  194. <td class="description last">the receiving matrix</td>
  195. </tr>
  196. <tr>
  197. <td class="name"><code>a</code></td>
  198. <td class="type">
  199. <span class="param-type">mat4</span>
  200. </td>
  201. <td class="description last">the source matrix</td>
  202. </tr>
  203. </tbody>
  204. </table>
  205. <dl class="details">
  206. <dt class="tag-source">Source:</dt>
  207. <dd class="tag-source"><ul class="dummy"><li>
  208. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line70">line 70</a>
  209. </li></ul></dd>
  210. </dl>
  211. <h5>Returns:</h5>
  212. <div class="param-desc">
  213. out
  214. </div>
  215. <dl>
  216. <dt>
  217. Type
  218. </dt>
  219. <dd>
  220. <span class="param-type">mat4</span>
  221. </dd>
  222. </dl>
  223. <h4 class="name" id=".create"><span class="type-signature">(static) </span>create<span class="signature">()</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  224. <div class="description">
  225. Creates a new identity mat4
  226. </div>
  227. <dl class="details">
  228. <dt class="tag-source">Source:</dt>
  229. <dd class="tag-source"><ul class="dummy"><li>
  230. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line13">line 13</a>
  231. </li></ul></dd>
  232. </dl>
  233. <h5>Returns:</h5>
  234. <div class="param-desc">
  235. a new 4x4 matrix
  236. </div>
  237. <dl>
  238. <dt>
  239. Type
  240. </dt>
  241. <dd>
  242. <span class="param-type">mat4</span>
  243. </dd>
  244. </dl>
  245. <h4 class="name" id=".determinant"><span class="type-signature">(static) </span>determinant<span class="signature">(a)</span><span class="type-signature"> &rarr; {Number}</span></h4>
  246. <div class="description">
  247. Calculates the determinant of a mat4
  248. </div>
  249. <h5>Parameters:</h5>
  250. <table class="params">
  251. <thead>
  252. <tr>
  253. <th>Name</th>
  254. <th>Type</th>
  255. <th class="last">Description</th>
  256. </tr>
  257. </thead>
  258. <tbody>
  259. <tr>
  260. <td class="name"><code>a</code></td>
  261. <td class="type">
  262. <span class="param-type">mat4</span>
  263. </td>
  264. <td class="description last">the source matrix</td>
  265. </tr>
  266. </tbody>
  267. </table>
  268. <dl class="details">
  269. <dt class="tag-source">Source:</dt>
  270. <dd class="tag-source"><ul class="dummy"><li>
  271. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line341">line 341</a>
  272. </li></ul></dd>
  273. </dl>
  274. <h5>Returns:</h5>
  275. <div class="param-desc">
  276. determinant of a
  277. </div>
  278. <dl>
  279. <dt>
  280. Type
  281. </dt>
  282. <dd>
  283. <span class="param-type">Number</span>
  284. </dd>
  285. </dl>
  286. <h4 class="name" id=".equals"><span class="type-signature">(static) </span>equals<span class="signature">(a, b)</span><span class="type-signature"> &rarr; {Boolean}</span></h4>
  287. <div class="description">
  288. Returns whether or not the matrices have approximately the same elements in the same position.
  289. </div>
  290. <h5>Parameters:</h5>
  291. <table class="params">
  292. <thead>
  293. <tr>
  294. <th>Name</th>
  295. <th>Type</th>
  296. <th class="last">Description</th>
  297. </tr>
  298. </thead>
  299. <tbody>
  300. <tr>
  301. <td class="name"><code>a</code></td>
  302. <td class="type">
  303. <span class="param-type">mat4</span>
  304. </td>
  305. <td class="description last">The first matrix.</td>
  306. </tr>
  307. <tr>
  308. <td class="name"><code>b</code></td>
  309. <td class="type">
  310. <span class="param-type">mat4</span>
  311. </td>
  312. <td class="description last">The second matrix.</td>
  313. </tr>
  314. </tbody>
  315. </table>
  316. <dl class="details">
  317. <dt class="tag-source">Source:</dt>
  318. <dd class="tag-source"><ul class="dummy"><li>
  319. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1676">line 1676</a>
  320. </li></ul></dd>
  321. </dl>
  322. <h5>Returns:</h5>
  323. <div class="param-desc">
  324. True if the matrices are equal, false otherwise.
  325. </div>
  326. <dl>
  327. <dt>
  328. Type
  329. </dt>
  330. <dd>
  331. <span class="param-type">Boolean</span>
  332. </dd>
  333. </dl>
  334. <h4 class="name" id=".exactEquals"><span class="type-signature">(static) </span>exactEquals<span class="signature">(a, b)</span><span class="type-signature"> &rarr; {Boolean}</span></h4>
  335. <div class="description">
  336. Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)
  337. </div>
  338. <h5>Parameters:</h5>
  339. <table class="params">
  340. <thead>
  341. <tr>
  342. <th>Name</th>
  343. <th>Type</th>
  344. <th class="last">Description</th>
  345. </tr>
  346. </thead>
  347. <tbody>
  348. <tr>
  349. <td class="name"><code>a</code></td>
  350. <td class="type">
  351. <span class="param-type">mat4</span>
  352. </td>
  353. <td class="description last">The first matrix.</td>
  354. </tr>
  355. <tr>
  356. <td class="name"><code>b</code></td>
  357. <td class="type">
  358. <span class="param-type">mat4</span>
  359. </td>
  360. <td class="description last">The second matrix.</td>
  361. </tr>
  362. </tbody>
  363. </table>
  364. <dl class="details">
  365. <dt class="tag-source">Source:</dt>
  366. <dd class="tag-source"><ul class="dummy"><li>
  367. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1662">line 1662</a>
  368. </li></ul></dd>
  369. </dl>
  370. <h5>Returns:</h5>
  371. <div class="param-desc">
  372. True if the matrices are equal, false otherwise.
  373. </div>
  374. <dl>
  375. <dt>
  376. Type
  377. </dt>
  378. <dd>
  379. <span class="param-type">Boolean</span>
  380. </dd>
  381. </dl>
  382. <h4 class="name" id=".frob"><span class="type-signature">(static) </span>frob<span class="signature">(a)</span><span class="type-signature"> &rarr; {Number}</span></h4>
  383. <div class="description">
  384. Returns Frobenius norm of a mat4
  385. </div>
  386. <h5>Parameters:</h5>
  387. <table class="params">
  388. <thead>
  389. <tr>
  390. <th>Name</th>
  391. <th>Type</th>
  392. <th class="last">Description</th>
  393. </tr>
  394. </thead>
  395. <tbody>
  396. <tr>
  397. <td class="name"><code>a</code></td>
  398. <td class="type">
  399. <span class="param-type">mat4</span>
  400. </td>
  401. <td class="description last">the matrix to calculate Frobenius norm of</td>
  402. </tr>
  403. </tbody>
  404. </table>
  405. <dl class="details">
  406. <dt class="tag-source">Source:</dt>
  407. <dd class="tag-source"><ul class="dummy"><li>
  408. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1538">line 1538</a>
  409. </li></ul></dd>
  410. </dl>
  411. <h5>Returns:</h5>
  412. <div class="param-desc">
  413. Frobenius norm
  414. </div>
  415. <dl>
  416. <dt>
  417. Type
  418. </dt>
  419. <dd>
  420. <span class="param-type">Number</span>
  421. </dd>
  422. </dl>
  423. <h4 class="name" id=".fromQuat"><span class="type-signature">(static) </span>fromQuat<span class="signature">(out, q)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  424. <div class="description">
  425. Calculates a 4x4 matrix from the given quaternion
  426. </div>
  427. <h5>Parameters:</h5>
  428. <table class="params">
  429. <thead>
  430. <tr>
  431. <th>Name</th>
  432. <th>Type</th>
  433. <th class="last">Description</th>
  434. </tr>
  435. </thead>
  436. <tbody>
  437. <tr>
  438. <td class="name"><code>out</code></td>
  439. <td class="type">
  440. <span class="param-type">mat4</span>
  441. </td>
  442. <td class="description last">mat4 receiving operation result</td>
  443. </tr>
  444. <tr>
  445. <td class="name"><code>q</code></td>
  446. <td class="type">
  447. <span class="param-type">quat</span>
  448. </td>
  449. <td class="description last">Quaternion to create matrix from</td>
  450. </tr>
  451. </tbody>
  452. </table>
  453. <dl class="details">
  454. <dt class="tag-source">Source:</dt>
  455. <dd class="tag-source"><ul class="dummy"><li>
  456. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1186">line 1186</a>
  457. </li></ul></dd>
  458. </dl>
  459. <h5>Returns:</h5>
  460. <div class="param-desc">
  461. out
  462. </div>
  463. <dl>
  464. <dt>
  465. Type
  466. </dt>
  467. <dd>
  468. <span class="param-type">mat4</span>
  469. </dd>
  470. </dl>
  471. <h4 class="name" id=".fromQuat2"><span class="type-signature">(static) </span>fromQuat2<span class="signature">(out, a)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  472. <div class="description">
  473. Creates a new mat4 from a dual quat.
  474. </div>
  475. <h5>Parameters:</h5>
  476. <table class="params">
  477. <thead>
  478. <tr>
  479. <th>Name</th>
  480. <th>Type</th>
  481. <th class="last">Description</th>
  482. </tr>
  483. </thead>
  484. <tbody>
  485. <tr>
  486. <td class="name"><code>out</code></td>
  487. <td class="type">
  488. <span class="param-type">mat4</span>
  489. </td>
  490. <td class="description last">Matrix</td>
  491. </tr>
  492. <tr>
  493. <td class="name"><code>a</code></td>
  494. <td class="type">
  495. <span class="param-type">quat2</span>
  496. </td>
  497. <td class="description last">Dual Quaternion</td>
  498. </tr>
  499. </tbody>
  500. </table>
  501. <dl class="details">
  502. <dt class="tag-source">Source:</dt>
  503. <dd class="tag-source"><ul class="dummy"><li>
  504. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line938">line 938</a>
  505. </li></ul></dd>
  506. </dl>
  507. <h5>Returns:</h5>
  508. <div class="param-desc">
  509. mat4 receiving operation result
  510. </div>
  511. <dl>
  512. <dt>
  513. Type
  514. </dt>
  515. <dd>
  516. <span class="param-type">mat4</span>
  517. </dd>
  518. </dl>
  519. <h4 class="name" id=".fromRotation"><span class="type-signature">(static) </span>fromRotation<span class="signature">(out, rad, axis)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  520. <div class="description">
  521. Creates a matrix from a given angle around a given axis
  522. This is equivalent to (but much faster than):
  523. mat4.identity(dest);
  524. mat4.rotate(dest, dest, rad, axis);
  525. </div>
  526. <h5>Parameters:</h5>
  527. <table class="params">
  528. <thead>
  529. <tr>
  530. <th>Name</th>
  531. <th>Type</th>
  532. <th class="last">Description</th>
  533. </tr>
  534. </thead>
  535. <tbody>
  536. <tr>
  537. <td class="name"><code>out</code></td>
  538. <td class="type">
  539. <span class="param-type">mat4</span>
  540. </td>
  541. <td class="description last">mat4 receiving operation result</td>
  542. </tr>
  543. <tr>
  544. <td class="name"><code>rad</code></td>
  545. <td class="type">
  546. <span class="param-type">Number</span>
  547. </td>
  548. <td class="description last">the angle to rotate the matrix by</td>
  549. </tr>
  550. <tr>
  551. <td class="name"><code>axis</code></td>
  552. <td class="type">
  553. <span class="param-type">vec3</span>
  554. </td>
  555. <td class="description last">the axis to rotate around</td>
  556. </tr>
  557. </tbody>
  558. </table>
  559. <dl class="details">
  560. <dt class="tag-source">Source:</dt>
  561. <dd class="tag-source"><ul class="dummy"><li>
  562. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line738">line 738</a>
  563. </li></ul></dd>
  564. </dl>
  565. <h5>Returns:</h5>
  566. <div class="param-desc">
  567. out
  568. </div>
  569. <dl>
  570. <dt>
  571. Type
  572. </dt>
  573. <dd>
  574. <span class="param-type">mat4</span>
  575. </dd>
  576. </dl>
  577. <h4 class="name" id=".fromRotationTranslation"><span class="type-signature">(static) </span>fromRotationTranslation<span class="signature">(out, q, v)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  578. <div class="description">
  579. Creates a matrix from a quaternion rotation and vector translation
  580. This is equivalent to (but much faster than):
  581. mat4.identity(dest);
  582. mat4.translate(dest, vec);
  583. let quatMat = mat4.create();
  584. quat4.toMat4(quat, quatMat);
  585. mat4.multiply(dest, quatMat);
  586. </div>
  587. <h5>Parameters:</h5>
  588. <table class="params">
  589. <thead>
  590. <tr>
  591. <th>Name</th>
  592. <th>Type</th>
  593. <th class="last">Description</th>
  594. </tr>
  595. </thead>
  596. <tbody>
  597. <tr>
  598. <td class="name"><code>out</code></td>
  599. <td class="type">
  600. <span class="param-type">mat4</span>
  601. </td>
  602. <td class="description last">mat4 receiving operation result</td>
  603. </tr>
  604. <tr>
  605. <td class="name"><code>q</code></td>
  606. <td class="type">
  607. <span class="param-type">quat4</span>
  608. </td>
  609. <td class="description last">Rotation quaternion</td>
  610. </tr>
  611. <tr>
  612. <td class="name"><code>v</code></td>
  613. <td class="type">
  614. <span class="param-type">vec3</span>
  615. </td>
  616. <td class="description last">Translation vector</td>
  617. </tr>
  618. </tbody>
  619. </table>
  620. <dl class="details">
  621. <dt class="tag-source">Source:</dt>
  622. <dd class="tag-source"><ul class="dummy"><li>
  623. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line894">line 894</a>
  624. </li></ul></dd>
  625. </dl>
  626. <h5>Returns:</h5>
  627. <div class="param-desc">
  628. out
  629. </div>
  630. <dl>
  631. <dt>
  632. Type
  633. </dt>
  634. <dd>
  635. <span class="param-type">mat4</span>
  636. </dd>
  637. </dl>
  638. <h4 class="name" id=".fromRotationTranslationScale"><span class="type-signature">(static) </span>fromRotationTranslationScale<span class="signature">(out, q, v, s)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  639. <div class="description">
  640. Creates a matrix from a quaternion rotation, vector translation and vector scale
  641. This is equivalent to (but much faster than):
  642. mat4.identity(dest);
  643. mat4.translate(dest, vec);
  644. let quatMat = mat4.create();
  645. quat4.toMat4(quat, quatMat);
  646. mat4.multiply(dest, quatMat);
  647. mat4.scale(dest, scale)
  648. </div>
  649. <h5>Parameters:</h5>
  650. <table class="params">
  651. <thead>
  652. <tr>
  653. <th>Name</th>
  654. <th>Type</th>
  655. <th class="last">Description</th>
  656. </tr>
  657. </thead>
  658. <tbody>
  659. <tr>
  660. <td class="name"><code>out</code></td>
  661. <td class="type">
  662. <span class="param-type">mat4</span>
  663. </td>
  664. <td class="description last">mat4 receiving operation result</td>
  665. </tr>
  666. <tr>
  667. <td class="name"><code>q</code></td>
  668. <td class="type">
  669. <span class="param-type">quat4</span>
  670. </td>
  671. <td class="description last">Rotation quaternion</td>
  672. </tr>
  673. <tr>
  674. <td class="name"><code>v</code></td>
  675. <td class="type">
  676. <span class="param-type">vec3</span>
  677. </td>
  678. <td class="description last">Translation vector</td>
  679. </tr>
  680. <tr>
  681. <td class="name"><code>s</code></td>
  682. <td class="type">
  683. <span class="param-type">vec3</span>
  684. </td>
  685. <td class="description last">Scaling vector</td>
  686. </tr>
  687. </tbody>
  688. </table>
  689. <dl class="details">
  690. <dt class="tag-source">Source:</dt>
  691. <dd class="tag-source"><ul class="dummy"><li>
  692. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1063">line 1063</a>
  693. </li></ul></dd>
  694. </dl>
  695. <h5>Returns:</h5>
  696. <div class="param-desc">
  697. out
  698. </div>
  699. <dl>
  700. <dt>
  701. Type
  702. </dt>
  703. <dd>
  704. <span class="param-type">mat4</span>
  705. </dd>
  706. </dl>
  707. <h4 class="name" id=".fromRotationTranslationScaleOrigin"><span class="type-signature">(static) </span>fromRotationTranslationScaleOrigin<span class="signature">(out, q, v, s, o)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  708. <div class="description">
  709. Creates a matrix from a quaternion rotation, vector translation and vector scale, rotating and scaling around the given origin
  710. This is equivalent to (but much faster than):
  711. mat4.identity(dest);
  712. mat4.translate(dest, vec);
  713. mat4.translate(dest, origin);
  714. let quatMat = mat4.create();
  715. quat4.toMat4(quat, quatMat);
  716. mat4.multiply(dest, quatMat);
  717. mat4.scale(dest, scale)
  718. mat4.translate(dest, negativeOrigin);
  719. </div>
  720. <h5>Parameters:</h5>
  721. <table class="params">
  722. <thead>
  723. <tr>
  724. <th>Name</th>
  725. <th>Type</th>
  726. <th class="last">Description</th>
  727. </tr>
  728. </thead>
  729. <tbody>
  730. <tr>
  731. <td class="name"><code>out</code></td>
  732. <td class="type">
  733. <span class="param-type">mat4</span>
  734. </td>
  735. <td class="description last">mat4 receiving operation result</td>
  736. </tr>
  737. <tr>
  738. <td class="name"><code>q</code></td>
  739. <td class="type">
  740. <span class="param-type">quat4</span>
  741. </td>
  742. <td class="description last">Rotation quaternion</td>
  743. </tr>
  744. <tr>
  745. <td class="name"><code>v</code></td>
  746. <td class="type">
  747. <span class="param-type">vec3</span>
  748. </td>
  749. <td class="description last">Translation vector</td>
  750. </tr>
  751. <tr>
  752. <td class="name"><code>s</code></td>
  753. <td class="type">
  754. <span class="param-type">vec3</span>
  755. </td>
  756. <td class="description last">Scaling vector</td>
  757. </tr>
  758. <tr>
  759. <td class="name"><code>o</code></td>
  760. <td class="type">
  761. <span class="param-type">vec3</span>
  762. </td>
  763. <td class="description last">The origin vector around which to scale and rotate</td>
  764. </tr>
  765. </tbody>
  766. </table>
  767. <dl class="details">
  768. <dt class="tag-source">Source:</dt>
  769. <dd class="tag-source"><ul class="dummy"><li>
  770. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1123">line 1123</a>
  771. </li></ul></dd>
  772. </dl>
  773. <h5>Returns:</h5>
  774. <div class="param-desc">
  775. out
  776. </div>
  777. <dl>
  778. <dt>
  779. Type
  780. </dt>
  781. <dd>
  782. <span class="param-type">mat4</span>
  783. </dd>
  784. </dl>
  785. <h4 class="name" id=".fromScaling"><span class="type-signature">(static) </span>fromScaling<span class="signature">(out, v)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  786. <div class="description">
  787. Creates a matrix from a vector scaling
  788. This is equivalent to (but much faster than):
  789. mat4.identity(dest);
  790. mat4.scale(dest, dest, vec);
  791. </div>
  792. <h5>Parameters:</h5>
  793. <table class="params">
  794. <thead>
  795. <tr>
  796. <th>Name</th>
  797. <th>Type</th>
  798. <th class="last">Description</th>
  799. </tr>
  800. </thead>
  801. <tbody>
  802. <tr>
  803. <td class="name"><code>out</code></td>
  804. <td class="type">
  805. <span class="param-type">mat4</span>
  806. </td>
  807. <td class="description last">mat4 receiving operation result</td>
  808. </tr>
  809. <tr>
  810. <td class="name"><code>v</code></td>
  811. <td class="type">
  812. <span class="param-type">vec3</span>
  813. </td>
  814. <td class="description last">Scaling vector</td>
  815. </tr>
  816. </tbody>
  817. </table>
  818. <dl class="details">
  819. <dt class="tag-source">Source:</dt>
  820. <dd class="tag-source"><ul class="dummy"><li>
  821. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line706">line 706</a>
  822. </li></ul></dd>
  823. </dl>
  824. <h5>Returns:</h5>
  825. <div class="param-desc">
  826. out
  827. </div>
  828. <dl>
  829. <dt>
  830. Type
  831. </dt>
  832. <dd>
  833. <span class="param-type">mat4</span>
  834. </dd>
  835. </dl>
  836. <h4 class="name" id=".fromTranslation"><span class="type-signature">(static) </span>fromTranslation<span class="signature">(out, v)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  837. <div class="description">
  838. Creates a matrix from a vector translation
  839. This is equivalent to (but much faster than):
  840. mat4.identity(dest);
  841. mat4.translate(dest, dest, vec);
  842. </div>
  843. <h5>Parameters:</h5>
  844. <table class="params">
  845. <thead>
  846. <tr>
  847. <th>Name</th>
  848. <th>Type</th>
  849. <th class="last">Description</th>
  850. </tr>
  851. </thead>
  852. <tbody>
  853. <tr>
  854. <td class="name"><code>out</code></td>
  855. <td class="type">
  856. <span class="param-type">mat4</span>
  857. </td>
  858. <td class="description last">mat4 receiving operation result</td>
  859. </tr>
  860. <tr>
  861. <td class="name"><code>v</code></td>
  862. <td class="type">
  863. <span class="param-type">vec3</span>
  864. </td>
  865. <td class="description last">Translation vector</td>
  866. </tr>
  867. </tbody>
  868. </table>
  869. <dl class="details">
  870. <dt class="tag-source">Source:</dt>
  871. <dd class="tag-source"><ul class="dummy"><li>
  872. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line675">line 675</a>
  873. </li></ul></dd>
  874. </dl>
  875. <h5>Returns:</h5>
  876. <div class="param-desc">
  877. out
  878. </div>
  879. <dl>
  880. <dt>
  881. Type
  882. </dt>
  883. <dd>
  884. <span class="param-type">mat4</span>
  885. </dd>
  886. </dl>
  887. <h4 class="name" id=".fromValues"><span class="type-signature">(static) </span>fromValues<span class="signature">(m00, m01, m02, m03, m10, m11, m12, m13, m20, m21, m22, m23, m30, m31, m32, m33)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  888. <div class="description">
  889. Create a new mat4 with the given values
  890. </div>
  891. <h5>Parameters:</h5>
  892. <table class="params">
  893. <thead>
  894. <tr>
  895. <th>Name</th>
  896. <th>Type</th>
  897. <th class="last">Description</th>
  898. </tr>
  899. </thead>
  900. <tbody>
  901. <tr>
  902. <td class="name"><code>m00</code></td>
  903. <td class="type">
  904. <span class="param-type">Number</span>
  905. </td>
  906. <td class="description last">Component in column 0, row 0 position (index 0)</td>
  907. </tr>
  908. <tr>
  909. <td class="name"><code>m01</code></td>
  910. <td class="type">
  911. <span class="param-type">Number</span>
  912. </td>
  913. <td class="description last">Component in column 0, row 1 position (index 1)</td>
  914. </tr>
  915. <tr>
  916. <td class="name"><code>m02</code></td>
  917. <td class="type">
  918. <span class="param-type">Number</span>
  919. </td>
  920. <td class="description last">Component in column 0, row 2 position (index 2)</td>
  921. </tr>
  922. <tr>
  923. <td class="name"><code>m03</code></td>
  924. <td class="type">
  925. <span class="param-type">Number</span>
  926. </td>
  927. <td class="description last">Component in column 0, row 3 position (index 3)</td>
  928. </tr>
  929. <tr>
  930. <td class="name"><code>m10</code></td>
  931. <td class="type">
  932. <span class="param-type">Number</span>
  933. </td>
  934. <td class="description last">Component in column 1, row 0 position (index 4)</td>
  935. </tr>
  936. <tr>
  937. <td class="name"><code>m11</code></td>
  938. <td class="type">
  939. <span class="param-type">Number</span>
  940. </td>
  941. <td class="description last">Component in column 1, row 1 position (index 5)</td>
  942. </tr>
  943. <tr>
  944. <td class="name"><code>m12</code></td>
  945. <td class="type">
  946. <span class="param-type">Number</span>
  947. </td>
  948. <td class="description last">Component in column 1, row 2 position (index 6)</td>
  949. </tr>
  950. <tr>
  951. <td class="name"><code>m13</code></td>
  952. <td class="type">
  953. <span class="param-type">Number</span>
  954. </td>
  955. <td class="description last">Component in column 1, row 3 position (index 7)</td>
  956. </tr>
  957. <tr>
  958. <td class="name"><code>m20</code></td>
  959. <td class="type">
  960. <span class="param-type">Number</span>
  961. </td>
  962. <td class="description last">Component in column 2, row 0 position (index 8)</td>
  963. </tr>
  964. <tr>
  965. <td class="name"><code>m21</code></td>
  966. <td class="type">
  967. <span class="param-type">Number</span>
  968. </td>
  969. <td class="description last">Component in column 2, row 1 position (index 9)</td>
  970. </tr>
  971. <tr>
  972. <td class="name"><code>m22</code></td>
  973. <td class="type">
  974. <span class="param-type">Number</span>
  975. </td>
  976. <td class="description last">Component in column 2, row 2 position (index 10)</td>
  977. </tr>
  978. <tr>
  979. <td class="name"><code>m23</code></td>
  980. <td class="type">
  981. <span class="param-type">Number</span>
  982. </td>
  983. <td class="description last">Component in column 2, row 3 position (index 11)</td>
  984. </tr>
  985. <tr>
  986. <td class="name"><code>m30</code></td>
  987. <td class="type">
  988. <span class="param-type">Number</span>
  989. </td>
  990. <td class="description last">Component in column 3, row 0 position (index 12)</td>
  991. </tr>
  992. <tr>
  993. <td class="name"><code>m31</code></td>
  994. <td class="type">
  995. <span class="param-type">Number</span>
  996. </td>
  997. <td class="description last">Component in column 3, row 1 position (index 13)</td>
  998. </tr>
  999. <tr>
  1000. <td class="name"><code>m32</code></td>
  1001. <td class="type">
  1002. <span class="param-type">Number</span>
  1003. </td>
  1004. <td class="description last">Component in column 3, row 2 position (index 14)</td>
  1005. </tr>
  1006. <tr>
  1007. <td class="name"><code>m33</code></td>
  1008. <td class="type">
  1009. <span class="param-type">Number</span>
  1010. </td>
  1011. <td class="description last">Component in column 3, row 3 position (index 15)</td>
  1012. </tr>
  1013. </tbody>
  1014. </table>
  1015. <dl class="details">
  1016. <dt class="tag-source">Source:</dt>
  1017. <dd class="tag-source"><ul class="dummy"><li>
  1018. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line111">line 111</a>
  1019. </li></ul></dd>
  1020. </dl>
  1021. <h5>Returns:</h5>
  1022. <div class="param-desc">
  1023. A new mat4
  1024. </div>
  1025. <dl>
  1026. <dt>
  1027. Type
  1028. </dt>
  1029. <dd>
  1030. <span class="param-type">mat4</span>
  1031. </dd>
  1032. </dl>
  1033. <h4 class="name" id=".fromXRotation"><span class="type-signature">(static) </span>fromXRotation<span class="signature">(out, rad)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1034. <div class="description">
  1035. Creates a matrix from the given angle around the X axis
  1036. This is equivalent to (but much faster than):
  1037. mat4.identity(dest);
  1038. mat4.rotateX(dest, dest, rad);
  1039. </div>
  1040. <h5>Parameters:</h5>
  1041. <table class="params">
  1042. <thead>
  1043. <tr>
  1044. <th>Name</th>
  1045. <th>Type</th>
  1046. <th class="last">Description</th>
  1047. </tr>
  1048. </thead>
  1049. <tbody>
  1050. <tr>
  1051. <td class="name"><code>out</code></td>
  1052. <td class="type">
  1053. <span class="param-type">mat4</span>
  1054. </td>
  1055. <td class="description last">mat4 receiving operation result</td>
  1056. </tr>
  1057. <tr>
  1058. <td class="name"><code>rad</code></td>
  1059. <td class="type">
  1060. <span class="param-type">Number</span>
  1061. </td>
  1062. <td class="description last">the angle to rotate the matrix by</td>
  1063. </tr>
  1064. </tbody>
  1065. </table>
  1066. <dl class="details">
  1067. <dt class="tag-source">Source:</dt>
  1068. <dd class="tag-source"><ul class="dummy"><li>
  1069. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line785">line 785</a>
  1070. </li></ul></dd>
  1071. </dl>
  1072. <h5>Returns:</h5>
  1073. <div class="param-desc">
  1074. out
  1075. </div>
  1076. <dl>
  1077. <dt>
  1078. Type
  1079. </dt>
  1080. <dd>
  1081. <span class="param-type">mat4</span>
  1082. </dd>
  1083. </dl>
  1084. <h4 class="name" id=".fromYRotation"><span class="type-signature">(static) </span>fromYRotation<span class="signature">(out, rad)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1085. <div class="description">
  1086. Creates a matrix from the given angle around the Y axis
  1087. This is equivalent to (but much faster than):
  1088. mat4.identity(dest);
  1089. mat4.rotateY(dest, dest, rad);
  1090. </div>
  1091. <h5>Parameters:</h5>
  1092. <table class="params">
  1093. <thead>
  1094. <tr>
  1095. <th>Name</th>
  1096. <th>Type</th>
  1097. <th class="last">Description</th>
  1098. </tr>
  1099. </thead>
  1100. <tbody>
  1101. <tr>
  1102. <td class="name"><code>out</code></td>
  1103. <td class="type">
  1104. <span class="param-type">mat4</span>
  1105. </td>
  1106. <td class="description last">mat4 receiving operation result</td>
  1107. </tr>
  1108. <tr>
  1109. <td class="name"><code>rad</code></td>
  1110. <td class="type">
  1111. <span class="param-type">Number</span>
  1112. </td>
  1113. <td class="description last">the angle to rotate the matrix by</td>
  1114. </tr>
  1115. </tbody>
  1116. </table>
  1117. <dl class="details">
  1118. <dt class="tag-source">Source:</dt>
  1119. <dd class="tag-source"><ul class="dummy"><li>
  1120. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line820">line 820</a>
  1121. </li></ul></dd>
  1122. </dl>
  1123. <h5>Returns:</h5>
  1124. <div class="param-desc">
  1125. out
  1126. </div>
  1127. <dl>
  1128. <dt>
  1129. Type
  1130. </dt>
  1131. <dd>
  1132. <span class="param-type">mat4</span>
  1133. </dd>
  1134. </dl>
  1135. <h4 class="name" id=".fromZRotation"><span class="type-signature">(static) </span>fromZRotation<span class="signature">(out, rad)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1136. <div class="description">
  1137. Creates a matrix from the given angle around the Z axis
  1138. This is equivalent to (but much faster than):
  1139. mat4.identity(dest);
  1140. mat4.rotateZ(dest, dest, rad);
  1141. </div>
  1142. <h5>Parameters:</h5>
  1143. <table class="params">
  1144. <thead>
  1145. <tr>
  1146. <th>Name</th>
  1147. <th>Type</th>
  1148. <th class="last">Description</th>
  1149. </tr>
  1150. </thead>
  1151. <tbody>
  1152. <tr>
  1153. <td class="name"><code>out</code></td>
  1154. <td class="type">
  1155. <span class="param-type">mat4</span>
  1156. </td>
  1157. <td class="description last">mat4 receiving operation result</td>
  1158. </tr>
  1159. <tr>
  1160. <td class="name"><code>rad</code></td>
  1161. <td class="type">
  1162. <span class="param-type">Number</span>
  1163. </td>
  1164. <td class="description last">the angle to rotate the matrix by</td>
  1165. </tr>
  1166. </tbody>
  1167. </table>
  1168. <dl class="details">
  1169. <dt class="tag-source">Source:</dt>
  1170. <dd class="tag-source"><ul class="dummy"><li>
  1171. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line855">line 855</a>
  1172. </li></ul></dd>
  1173. </dl>
  1174. <h5>Returns:</h5>
  1175. <div class="param-desc">
  1176. out
  1177. </div>
  1178. <dl>
  1179. <dt>
  1180. Type
  1181. </dt>
  1182. <dd>
  1183. <span class="param-type">mat4</span>
  1184. </dd>
  1185. </dl>
  1186. <h4 class="name" id=".frustum"><span class="type-signature">(static) </span>frustum<span class="signature">(out, left, right, bottom, top, near, far)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1187. <div class="description">
  1188. Generates a frustum matrix with the given bounds
  1189. </div>
  1190. <h5>Parameters:</h5>
  1191. <table class="params">
  1192. <thead>
  1193. <tr>
  1194. <th>Name</th>
  1195. <th>Type</th>
  1196. <th class="last">Description</th>
  1197. </tr>
  1198. </thead>
  1199. <tbody>
  1200. <tr>
  1201. <td class="name"><code>out</code></td>
  1202. <td class="type">
  1203. <span class="param-type">mat4</span>
  1204. </td>
  1205. <td class="description last">mat4 frustum matrix will be written into</td>
  1206. </tr>
  1207. <tr>
  1208. <td class="name"><code>left</code></td>
  1209. <td class="type">
  1210. <span class="param-type">Number</span>
  1211. </td>
  1212. <td class="description last">Left bound of the frustum</td>
  1213. </tr>
  1214. <tr>
  1215. <td class="name"><code>right</code></td>
  1216. <td class="type">
  1217. <span class="param-type">Number</span>
  1218. </td>
  1219. <td class="description last">Right bound of the frustum</td>
  1220. </tr>
  1221. <tr>
  1222. <td class="name"><code>bottom</code></td>
  1223. <td class="type">
  1224. <span class="param-type">Number</span>
  1225. </td>
  1226. <td class="description last">Bottom bound of the frustum</td>
  1227. </tr>
  1228. <tr>
  1229. <td class="name"><code>top</code></td>
  1230. <td class="type">
  1231. <span class="param-type">Number</span>
  1232. </td>
  1233. <td class="description last">Top bound of the frustum</td>
  1234. </tr>
  1235. <tr>
  1236. <td class="name"><code>near</code></td>
  1237. <td class="type">
  1238. <span class="param-type">Number</span>
  1239. </td>
  1240. <td class="description last">Near bound of the frustum</td>
  1241. </tr>
  1242. <tr>
  1243. <td class="name"><code>far</code></td>
  1244. <td class="type">
  1245. <span class="param-type">Number</span>
  1246. </td>
  1247. <td class="description last">Far bound of the frustum</td>
  1248. </tr>
  1249. </tbody>
  1250. </table>
  1251. <dl class="details">
  1252. <dt class="tag-source">Source:</dt>
  1253. <dd class="tag-source"><ul class="dummy"><li>
  1254. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1237">line 1237</a>
  1255. </li></ul></dd>
  1256. </dl>
  1257. <h5>Returns:</h5>
  1258. <div class="param-desc">
  1259. out
  1260. </div>
  1261. <dl>
  1262. <dt>
  1263. Type
  1264. </dt>
  1265. <dd>
  1266. <span class="param-type">mat4</span>
  1267. </dd>
  1268. </dl>
  1269. <h4 class="name" id=".getRotation"><span class="type-signature">(static) </span>getRotation<span class="signature">(out, mat)</span><span class="type-signature"> &rarr; {quat}</span></h4>
  1270. <div class="description">
  1271. Returns a quaternion representing the rotational component
  1272. of a transformation matrix. If a matrix is built with
  1273. fromRotationTranslation, the returned quaternion will be the
  1274. same as the quaternion originally supplied.
  1275. </div>
  1276. <h5>Parameters:</h5>
  1277. <table class="params">
  1278. <thead>
  1279. <tr>
  1280. <th>Name</th>
  1281. <th>Type</th>
  1282. <th class="last">Description</th>
  1283. </tr>
  1284. </thead>
  1285. <tbody>
  1286. <tr>
  1287. <td class="name"><code>out</code></td>
  1288. <td class="type">
  1289. <span class="param-type">quat</span>
  1290. </td>
  1291. <td class="description last">Quaternion to receive the rotation component</td>
  1292. </tr>
  1293. <tr>
  1294. <td class="name"><code>mat</code></td>
  1295. <td class="type">
  1296. <span class="param-type">mat4</span>
  1297. </td>
  1298. <td class="description last">Matrix to be decomposed (input)</td>
  1299. </tr>
  1300. </tbody>
  1301. </table>
  1302. <dl class="details">
  1303. <dt class="tag-source">Source:</dt>
  1304. <dd class="tag-source"><ul class="dummy"><li>
  1305. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1012">line 1012</a>
  1306. </li></ul></dd>
  1307. </dl>
  1308. <h5>Returns:</h5>
  1309. <div class="param-desc">
  1310. out
  1311. </div>
  1312. <dl>
  1313. <dt>
  1314. Type
  1315. </dt>
  1316. <dd>
  1317. <span class="param-type">quat</span>
  1318. </dd>
  1319. </dl>
  1320. <h4 class="name" id=".getScaling"><span class="type-signature">(static) </span>getScaling<span class="signature">(out, mat)</span><span class="type-signature"> &rarr; {vec3}</span></h4>
  1321. <div class="description">
  1322. Returns the scaling factor component of a transformation
  1323. matrix. If a matrix is built with fromRotationTranslationScale
  1324. with a normalized Quaternion paramter, the returned vector will be
  1325. the same as the scaling vector
  1326. originally supplied.
  1327. </div>
  1328. <h5>Parameters:</h5>
  1329. <table class="params">
  1330. <thead>
  1331. <tr>
  1332. <th>Name</th>
  1333. <th>Type</th>
  1334. <th class="last">Description</th>
  1335. </tr>
  1336. </thead>
  1337. <tbody>
  1338. <tr>
  1339. <td class="name"><code>out</code></td>
  1340. <td class="type">
  1341. <span class="param-type">vec3</span>
  1342. </td>
  1343. <td class="description last">Vector to receive scaling factor component</td>
  1344. </tr>
  1345. <tr>
  1346. <td class="name"><code>mat</code></td>
  1347. <td class="type">
  1348. <span class="param-type">mat4</span>
  1349. </td>
  1350. <td class="description last">Matrix to be decomposed (input)</td>
  1351. </tr>
  1352. </tbody>
  1353. </table>
  1354. <dl class="details">
  1355. <dt class="tag-source">Source:</dt>
  1356. <dd class="tag-source"><ul class="dummy"><li>
  1357. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line985">line 985</a>
  1358. </li></ul></dd>
  1359. </dl>
  1360. <h5>Returns:</h5>
  1361. <div class="param-desc">
  1362. out
  1363. </div>
  1364. <dl>
  1365. <dt>
  1366. Type
  1367. </dt>
  1368. <dd>
  1369. <span class="param-type">vec3</span>
  1370. </dd>
  1371. </dl>
  1372. <h4 class="name" id=".getTranslation"><span class="type-signature">(static) </span>getTranslation<span class="signature">(out, mat)</span><span class="type-signature"> &rarr; {vec3}</span></h4>
  1373. <div class="description">
  1374. Returns the translation vector component of a transformation
  1375. matrix. If a matrix is built with fromRotationTranslation,
  1376. the returned vector will be the same as the translation vector
  1377. originally supplied.
  1378. </div>
  1379. <h5>Parameters:</h5>
  1380. <table class="params">
  1381. <thead>
  1382. <tr>
  1383. <th>Name</th>
  1384. <th>Type</th>
  1385. <th class="last">Description</th>
  1386. </tr>
  1387. </thead>
  1388. <tbody>
  1389. <tr>
  1390. <td class="name"><code>out</code></td>
  1391. <td class="type">
  1392. <span class="param-type">vec3</span>
  1393. </td>
  1394. <td class="description last">Vector to receive translation component</td>
  1395. </tr>
  1396. <tr>
  1397. <td class="name"><code>mat</code></td>
  1398. <td class="type">
  1399. <span class="param-type">mat4</span>
  1400. </td>
  1401. <td class="description last">Matrix to be decomposed (input)</td>
  1402. </tr>
  1403. </tbody>
  1404. </table>
  1405. <dl class="details">
  1406. <dt class="tag-source">Source:</dt>
  1407. <dd class="tag-source"><ul class="dummy"><li>
  1408. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line967">line 967</a>
  1409. </li></ul></dd>
  1410. </dl>
  1411. <h5>Returns:</h5>
  1412. <div class="param-desc">
  1413. out
  1414. </div>
  1415. <dl>
  1416. <dt>
  1417. Type
  1418. </dt>
  1419. <dd>
  1420. <span class="param-type">vec3</span>
  1421. </dd>
  1422. </dl>
  1423. <h4 class="name" id=".identity"><span class="type-signature">(static) </span>identity<span class="signature">(out)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1424. <div class="description">
  1425. Set a mat4 to the identity matrix
  1426. </div>
  1427. <h5>Parameters:</h5>
  1428. <table class="params">
  1429. <thead>
  1430. <tr>
  1431. <th>Name</th>
  1432. <th>Type</th>
  1433. <th class="last">Description</th>
  1434. </tr>
  1435. </thead>
  1436. <tbody>
  1437. <tr>
  1438. <td class="name"><code>out</code></td>
  1439. <td class="type">
  1440. <span class="param-type">mat4</span>
  1441. </td>
  1442. <td class="description last">the receiving matrix</td>
  1443. </tr>
  1444. </tbody>
  1445. </table>
  1446. <dl class="details">
  1447. <dt class="tag-source">Source:</dt>
  1448. <dd class="tag-source"><ul class="dummy"><li>
  1449. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line181">line 181</a>
  1450. </li></ul></dd>
  1451. </dl>
  1452. <h5>Returns:</h5>
  1453. <div class="param-desc">
  1454. out
  1455. </div>
  1456. <dl>
  1457. <dt>
  1458. Type
  1459. </dt>
  1460. <dd>
  1461. <span class="param-type">mat4</span>
  1462. </dd>
  1463. </dl>
  1464. <h4 class="name" id=".invert"><span class="type-signature">(static) </span>invert<span class="signature">(out, a)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1465. <div class="description">
  1466. Inverts a mat4
  1467. </div>
  1468. <h5>Parameters:</h5>
  1469. <table class="params">
  1470. <thead>
  1471. <tr>
  1472. <th>Name</th>
  1473. <th>Type</th>
  1474. <th class="last">Description</th>
  1475. </tr>
  1476. </thead>
  1477. <tbody>
  1478. <tr>
  1479. <td class="name"><code>out</code></td>
  1480. <td class="type">
  1481. <span class="param-type">mat4</span>
  1482. </td>
  1483. <td class="description last">the receiving matrix</td>
  1484. </tr>
  1485. <tr>
  1486. <td class="name"><code>a</code></td>
  1487. <td class="type">
  1488. <span class="param-type">mat4</span>
  1489. </td>
  1490. <td class="description last">the source matrix</td>
  1491. </tr>
  1492. </tbody>
  1493. </table>
  1494. <dl class="details">
  1495. <dt class="tag-source">Source:</dt>
  1496. <dd class="tag-source"><ul class="dummy"><li>
  1497. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line256">line 256</a>
  1498. </li></ul></dd>
  1499. </dl>
  1500. <h5>Returns:</h5>
  1501. <div class="param-desc">
  1502. out
  1503. </div>
  1504. <dl>
  1505. <dt>
  1506. Type
  1507. </dt>
  1508. <dd>
  1509. <span class="param-type">mat4</span>
  1510. </dd>
  1511. </dl>
  1512. <h4 class="name" id=".lookAt"><span class="type-signature">(static) </span>lookAt<span class="signature">(out, eye, center, up)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1513. <div class="description">
  1514. Generates a look-at matrix with the given eye position, focal point, and up axis.
  1515. If you want a matrix that actually makes an object look at another object, you should use targetTo instead.
  1516. </div>
  1517. <h5>Parameters:</h5>
  1518. <table class="params">
  1519. <thead>
  1520. <tr>
  1521. <th>Name</th>
  1522. <th>Type</th>
  1523. <th class="last">Description</th>
  1524. </tr>
  1525. </thead>
  1526. <tbody>
  1527. <tr>
  1528. <td class="name"><code>out</code></td>
  1529. <td class="type">
  1530. <span class="param-type">mat4</span>
  1531. </td>
  1532. <td class="description last">mat4 frustum matrix will be written into</td>
  1533. </tr>
  1534. <tr>
  1535. <td class="name"><code>eye</code></td>
  1536. <td class="type">
  1537. <span class="param-type">vec3</span>
  1538. </td>
  1539. <td class="description last">Position of the viewer</td>
  1540. </tr>
  1541. <tr>
  1542. <td class="name"><code>center</code></td>
  1543. <td class="type">
  1544. <span class="param-type">vec3</span>
  1545. </td>
  1546. <td class="description last">Point the viewer is looking at</td>
  1547. </tr>
  1548. <tr>
  1549. <td class="name"><code>up</code></td>
  1550. <td class="type">
  1551. <span class="param-type">vec3</span>
  1552. </td>
  1553. <td class="description last">vec3 pointing up</td>
  1554. </tr>
  1555. </tbody>
  1556. </table>
  1557. <dl class="details">
  1558. <dt class="tag-source">Source:</dt>
  1559. <dd class="tag-source"><ul class="dummy"><li>
  1560. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1381">line 1381</a>
  1561. </li></ul></dd>
  1562. </dl>
  1563. <h5>Returns:</h5>
  1564. <div class="param-desc">
  1565. out
  1566. </div>
  1567. <dl>
  1568. <dt>
  1569. Type
  1570. </dt>
  1571. <dd>
  1572. <span class="param-type">mat4</span>
  1573. </dd>
  1574. </dl>
  1575. <h4 class="name" id=".mul"><span class="type-signature">(static) </span>mul<span class="signature">()</span><span class="type-signature"></span></h4>
  1576. <div class="description">
  1577. Alias for mat4.multiply
  1578. </div>
  1579. <dl class="details">
  1580. <dt class="tag-source">Source:</dt>
  1581. <dd class="tag-source"><ul class="dummy"><li>
  1582. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1709">line 1709</a>
  1583. </li></ul></dd>
  1584. </dl>
  1585. <h4 class="name" id=".multiply"><span class="type-signature">(static) </span>multiply<span class="signature">(out, a, b)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1586. <div class="description">
  1587. Multiplies two mat4s
  1588. </div>
  1589. <h5>Parameters:</h5>
  1590. <table class="params">
  1591. <thead>
  1592. <tr>
  1593. <th>Name</th>
  1594. <th>Type</th>
  1595. <th class="last">Description</th>
  1596. </tr>
  1597. </thead>
  1598. <tbody>
  1599. <tr>
  1600. <td class="name"><code>out</code></td>
  1601. <td class="type">
  1602. <span class="param-type">mat4</span>
  1603. </td>
  1604. <td class="description last">the receiving matrix</td>
  1605. </tr>
  1606. <tr>
  1607. <td class="name"><code>a</code></td>
  1608. <td class="type">
  1609. <span class="param-type">mat4</span>
  1610. </td>
  1611. <td class="description last">the first operand</td>
  1612. </tr>
  1613. <tr>
  1614. <td class="name"><code>b</code></td>
  1615. <td class="type">
  1616. <span class="param-type">mat4</span>
  1617. </td>
  1618. <td class="description last">the second operand</td>
  1619. </tr>
  1620. </tbody>
  1621. </table>
  1622. <dl class="details">
  1623. <dt class="tag-source">Source:</dt>
  1624. <dd class="tag-source"><ul class="dummy"><li>
  1625. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line372">line 372</a>
  1626. </li></ul></dd>
  1627. </dl>
  1628. <h5>Returns:</h5>
  1629. <div class="param-desc">
  1630. out
  1631. </div>
  1632. <dl>
  1633. <dt>
  1634. Type
  1635. </dt>
  1636. <dd>
  1637. <span class="param-type">mat4</span>
  1638. </dd>
  1639. </dl>
  1640. <h4 class="name" id=".multiplyScalar"><span class="type-signature">(static) </span>multiplyScalar<span class="signature">(out, a, b)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1641. <div class="description">
  1642. Multiply each element of the matrix by a scalar.
  1643. </div>
  1644. <h5>Parameters:</h5>
  1645. <table class="params">
  1646. <thead>
  1647. <tr>
  1648. <th>Name</th>
  1649. <th>Type</th>
  1650. <th class="last">Description</th>
  1651. </tr>
  1652. </thead>
  1653. <tbody>
  1654. <tr>
  1655. <td class="name"><code>out</code></td>
  1656. <td class="type">
  1657. <span class="param-type">mat4</span>
  1658. </td>
  1659. <td class="description last">the receiving matrix</td>
  1660. </tr>
  1661. <tr>
  1662. <td class="name"><code>a</code></td>
  1663. <td class="type">
  1664. <span class="param-type">mat4</span>
  1665. </td>
  1666. <td class="description last">the matrix to scale</td>
  1667. </tr>
  1668. <tr>
  1669. <td class="name"><code>b</code></td>
  1670. <td class="type">
  1671. <span class="param-type">Number</span>
  1672. </td>
  1673. <td class="description last">amount to scale the matrix's elements by</td>
  1674. </tr>
  1675. </tbody>
  1676. </table>
  1677. <dl class="details">
  1678. <dt class="tag-source">Source:</dt>
  1679. <dd class="tag-source"><ul class="dummy"><li>
  1680. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1606">line 1606</a>
  1681. </li></ul></dd>
  1682. </dl>
  1683. <h5>Returns:</h5>
  1684. <div class="param-desc">
  1685. out
  1686. </div>
  1687. <dl>
  1688. <dt>
  1689. Type
  1690. </dt>
  1691. <dd>
  1692. <span class="param-type">mat4</span>
  1693. </dd>
  1694. </dl>
  1695. <h4 class="name" id=".multiplyScalarAndAdd"><span class="type-signature">(static) </span>multiplyScalarAndAdd<span class="signature">(out, a, b, scale)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1696. <div class="description">
  1697. Adds two mat4's after multiplying each element of the second operand by a scalar value.
  1698. </div>
  1699. <h5>Parameters:</h5>
  1700. <table class="params">
  1701. <thead>
  1702. <tr>
  1703. <th>Name</th>
  1704. <th>Type</th>
  1705. <th class="last">Description</th>
  1706. </tr>
  1707. </thead>
  1708. <tbody>
  1709. <tr>
  1710. <td class="name"><code>out</code></td>
  1711. <td class="type">
  1712. <span class="param-type">mat4</span>
  1713. </td>
  1714. <td class="description last">the receiving vector</td>
  1715. </tr>
  1716. <tr>
  1717. <td class="name"><code>a</code></td>
  1718. <td class="type">
  1719. <span class="param-type">mat4</span>
  1720. </td>
  1721. <td class="description last">the first operand</td>
  1722. </tr>
  1723. <tr>
  1724. <td class="name"><code>b</code></td>
  1725. <td class="type">
  1726. <span class="param-type">mat4</span>
  1727. </td>
  1728. <td class="description last">the second operand</td>
  1729. </tr>
  1730. <tr>
  1731. <td class="name"><code>scale</code></td>
  1732. <td class="type">
  1733. <span class="param-type">Number</span>
  1734. </td>
  1735. <td class="description last">the amount to scale b's elements by before adding</td>
  1736. </tr>
  1737. </tbody>
  1738. </table>
  1739. <dl class="details">
  1740. <dt class="tag-source">Source:</dt>
  1741. <dd class="tag-source"><ul class="dummy"><li>
  1742. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1635">line 1635</a>
  1743. </li></ul></dd>
  1744. </dl>
  1745. <h5>Returns:</h5>
  1746. <div class="param-desc">
  1747. out
  1748. </div>
  1749. <dl>
  1750. <dt>
  1751. Type
  1752. </dt>
  1753. <dd>
  1754. <span class="param-type">mat4</span>
  1755. </dd>
  1756. </dl>
  1757. <h4 class="name" id=".ortho"><span class="type-signature">(static) </span>ortho<span class="signature">(out, left, right, bottom, top, near, far)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1758. <div class="description">
  1759. Generates a orthogonal projection matrix with the given bounds
  1760. </div>
  1761. <h5>Parameters:</h5>
  1762. <table class="params">
  1763. <thead>
  1764. <tr>
  1765. <th>Name</th>
  1766. <th>Type</th>
  1767. <th class="last">Description</th>
  1768. </tr>
  1769. </thead>
  1770. <tbody>
  1771. <tr>
  1772. <td class="name"><code>out</code></td>
  1773. <td class="type">
  1774. <span class="param-type">mat4</span>
  1775. </td>
  1776. <td class="description last">mat4 frustum matrix will be written into</td>
  1777. </tr>
  1778. <tr>
  1779. <td class="name"><code>left</code></td>
  1780. <td class="type">
  1781. <span class="param-type">number</span>
  1782. </td>
  1783. <td class="description last">Left bound of the frustum</td>
  1784. </tr>
  1785. <tr>
  1786. <td class="name"><code>right</code></td>
  1787. <td class="type">
  1788. <span class="param-type">number</span>
  1789. </td>
  1790. <td class="description last">Right bound of the frustum</td>
  1791. </tr>
  1792. <tr>
  1793. <td class="name"><code>bottom</code></td>
  1794. <td class="type">
  1795. <span class="param-type">number</span>
  1796. </td>
  1797. <td class="description last">Bottom bound of the frustum</td>
  1798. </tr>
  1799. <tr>
  1800. <td class="name"><code>top</code></td>
  1801. <td class="type">
  1802. <span class="param-type">number</span>
  1803. </td>
  1804. <td class="description last">Top bound of the frustum</td>
  1805. </tr>
  1806. <tr>
  1807. <td class="name"><code>near</code></td>
  1808. <td class="type">
  1809. <span class="param-type">number</span>
  1810. </td>
  1811. <td class="description last">Near bound of the frustum</td>
  1812. </tr>
  1813. <tr>
  1814. <td class="name"><code>far</code></td>
  1815. <td class="type">
  1816. <span class="param-type">number</span>
  1817. </td>
  1818. <td class="description last">Far bound of the frustum</td>
  1819. </tr>
  1820. </tbody>
  1821. </table>
  1822. <dl class="details">
  1823. <dt class="tag-source">Source:</dt>
  1824. <dd class="tag-source"><ul class="dummy"><li>
  1825. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1348">line 1348</a>
  1826. </li></ul></dd>
  1827. </dl>
  1828. <h5>Returns:</h5>
  1829. <div class="param-desc">
  1830. out
  1831. </div>
  1832. <dl>
  1833. <dt>
  1834. Type
  1835. </dt>
  1836. <dd>
  1837. <span class="param-type">mat4</span>
  1838. </dd>
  1839. </dl>
  1840. <h4 class="name" id=".perspective"><span class="type-signature">(static) </span>perspective<span class="signature">(out, fovy, aspect, near, far)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1841. <div class="description">
  1842. Generates a perspective projection matrix with the given bounds.
  1843. Passing null/undefined/no value for far will generate infinite projection matrix.
  1844. </div>
  1845. <h5>Parameters:</h5>
  1846. <table class="params">
  1847. <thead>
  1848. <tr>
  1849. <th>Name</th>
  1850. <th>Type</th>
  1851. <th class="last">Description</th>
  1852. </tr>
  1853. </thead>
  1854. <tbody>
  1855. <tr>
  1856. <td class="name"><code>out</code></td>
  1857. <td class="type">
  1858. <span class="param-type">mat4</span>
  1859. </td>
  1860. <td class="description last">mat4 frustum matrix will be written into</td>
  1861. </tr>
  1862. <tr>
  1863. <td class="name"><code>fovy</code></td>
  1864. <td class="type">
  1865. <span class="param-type">number</span>
  1866. </td>
  1867. <td class="description last">Vertical field of view in radians</td>
  1868. </tr>
  1869. <tr>
  1870. <td class="name"><code>aspect</code></td>
  1871. <td class="type">
  1872. <span class="param-type">number</span>
  1873. </td>
  1874. <td class="description last">Aspect ratio. typically viewport width/height</td>
  1875. </tr>
  1876. <tr>
  1877. <td class="name"><code>near</code></td>
  1878. <td class="type">
  1879. <span class="param-type">number</span>
  1880. </td>
  1881. <td class="description last">Near bound of the frustum</td>
  1882. </tr>
  1883. <tr>
  1884. <td class="name"><code>far</code></td>
  1885. <td class="type">
  1886. <span class="param-type">number</span>
  1887. </td>
  1888. <td class="description last">Far bound of the frustum, can be null or Infinity</td>
  1889. </tr>
  1890. </tbody>
  1891. </table>
  1892. <dl class="details">
  1893. <dt class="tag-source">Source:</dt>
  1894. <dd class="tag-source"><ul class="dummy"><li>
  1895. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1271">line 1271</a>
  1896. </li></ul></dd>
  1897. </dl>
  1898. <h5>Returns:</h5>
  1899. <div class="param-desc">
  1900. out
  1901. </div>
  1902. <dl>
  1903. <dt>
  1904. Type
  1905. </dt>
  1906. <dd>
  1907. <span class="param-type">mat4</span>
  1908. </dd>
  1909. </dl>
  1910. <h4 class="name" id=".perspectiveFromFieldOfView"><span class="type-signature">(static) </span>perspectiveFromFieldOfView<span class="signature">(out, fov, near, far)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1911. <div class="description">
  1912. Generates a perspective projection matrix with the given field of view.
  1913. This is primarily useful for generating projection matrices to be used
  1914. with the still experiemental WebVR API.
  1915. </div>
  1916. <h5>Parameters:</h5>
  1917. <table class="params">
  1918. <thead>
  1919. <tr>
  1920. <th>Name</th>
  1921. <th>Type</th>
  1922. <th class="last">Description</th>
  1923. </tr>
  1924. </thead>
  1925. <tbody>
  1926. <tr>
  1927. <td class="name"><code>out</code></td>
  1928. <td class="type">
  1929. <span class="param-type">mat4</span>
  1930. </td>
  1931. <td class="description last">mat4 frustum matrix will be written into</td>
  1932. </tr>
  1933. <tr>
  1934. <td class="name"><code>fov</code></td>
  1935. <td class="type">
  1936. <span class="param-type">Object</span>
  1937. </td>
  1938. <td class="description last">Object containing the following values: upDegrees, downDegrees, leftDegrees, rightDegrees</td>
  1939. </tr>
  1940. <tr>
  1941. <td class="name"><code>near</code></td>
  1942. <td class="type">
  1943. <span class="param-type">number</span>
  1944. </td>
  1945. <td class="description last">Near bound of the frustum</td>
  1946. </tr>
  1947. <tr>
  1948. <td class="name"><code>far</code></td>
  1949. <td class="type">
  1950. <span class="param-type">number</span>
  1951. </td>
  1952. <td class="description last">Far bound of the frustum</td>
  1953. </tr>
  1954. </tbody>
  1955. </table>
  1956. <dl class="details">
  1957. <dt class="tag-source">Source:</dt>
  1958. <dd class="tag-source"><ul class="dummy"><li>
  1959. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1309">line 1309</a>
  1960. </li></ul></dd>
  1961. </dl>
  1962. <h5>Returns:</h5>
  1963. <div class="param-desc">
  1964. out
  1965. </div>
  1966. <dl>
  1967. <dt>
  1968. Type
  1969. </dt>
  1970. <dd>
  1971. <span class="param-type">mat4</span>
  1972. </dd>
  1973. </dl>
  1974. <h4 class="name" id=".rotate"><span class="type-signature">(static) </span>rotate<span class="signature">(out, a, rad, axis)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  1975. <div class="description">
  1976. Rotates a mat4 by the given angle around the given axis
  1977. </div>
  1978. <h5>Parameters:</h5>
  1979. <table class="params">
  1980. <thead>
  1981. <tr>
  1982. <th>Name</th>
  1983. <th>Type</th>
  1984. <th class="last">Description</th>
  1985. </tr>
  1986. </thead>
  1987. <tbody>
  1988. <tr>
  1989. <td class="name"><code>out</code></td>
  1990. <td class="type">
  1991. <span class="param-type">mat4</span>
  1992. </td>
  1993. <td class="description last">the receiving matrix</td>
  1994. </tr>
  1995. <tr>
  1996. <td class="name"><code>a</code></td>
  1997. <td class="type">
  1998. <span class="param-type">mat4</span>
  1999. </td>
  2000. <td class="description last">the matrix to rotate</td>
  2001. </tr>
  2002. <tr>
  2003. <td class="name"><code>rad</code></td>
  2004. <td class="type">
  2005. <span class="param-type">Number</span>
  2006. </td>
  2007. <td class="description last">the angle to rotate the matrix by</td>
  2008. </tr>
  2009. <tr>
  2010. <td class="name"><code>axis</code></td>
  2011. <td class="type">
  2012. <span class="param-type">vec3</span>
  2013. </td>
  2014. <td class="description last">the axis to rotate around</td>
  2015. </tr>
  2016. </tbody>
  2017. </table>
  2018. <dl class="details">
  2019. <dt class="tag-source">Source:</dt>
  2020. <dd class="tag-source"><ul class="dummy"><li>
  2021. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line481">line 481</a>
  2022. </li></ul></dd>
  2023. </dl>
  2024. <h5>Returns:</h5>
  2025. <div class="param-desc">
  2026. out
  2027. </div>
  2028. <dl>
  2029. <dt>
  2030. Type
  2031. </dt>
  2032. <dd>
  2033. <span class="param-type">mat4</span>
  2034. </dd>
  2035. </dl>
  2036. <h4 class="name" id=".rotateX"><span class="type-signature">(static) </span>rotateX<span class="signature">(out, a, rad)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  2037. <div class="description">
  2038. Rotates a matrix by the given angle around the X axis
  2039. </div>
  2040. <h5>Parameters:</h5>
  2041. <table class="params">
  2042. <thead>
  2043. <tr>
  2044. <th>Name</th>
  2045. <th>Type</th>
  2046. <th class="last">Description</th>
  2047. </tr>
  2048. </thead>
  2049. <tbody>
  2050. <tr>
  2051. <td class="name"><code>out</code></td>
  2052. <td class="type">
  2053. <span class="param-type">mat4</span>
  2054. </td>
  2055. <td class="description last">the receiving matrix</td>
  2056. </tr>
  2057. <tr>
  2058. <td class="name"><code>a</code></td>
  2059. <td class="type">
  2060. <span class="param-type">mat4</span>
  2061. </td>
  2062. <td class="description last">the matrix to rotate</td>
  2063. </tr>
  2064. <tr>
  2065. <td class="name"><code>rad</code></td>
  2066. <td class="type">
  2067. <span class="param-type">Number</span>
  2068. </td>
  2069. <td class="description last">the angle to rotate the matrix by</td>
  2070. </tr>
  2071. </tbody>
  2072. </table>
  2073. <dl class="details">
  2074. <dt class="tag-source">Source:</dt>
  2075. <dd class="tag-source"><ul class="dummy"><li>
  2076. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line543">line 543</a>
  2077. </li></ul></dd>
  2078. </dl>
  2079. <h5>Returns:</h5>
  2080. <div class="param-desc">
  2081. out
  2082. </div>
  2083. <dl>
  2084. <dt>
  2085. Type
  2086. </dt>
  2087. <dd>
  2088. <span class="param-type">mat4</span>
  2089. </dd>
  2090. </dl>
  2091. <h4 class="name" id=".rotateY"><span class="type-signature">(static) </span>rotateY<span class="signature">(out, a, rad)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  2092. <div class="description">
  2093. Rotates a matrix by the given angle around the Y axis
  2094. </div>
  2095. <h5>Parameters:</h5>
  2096. <table class="params">
  2097. <thead>
  2098. <tr>
  2099. <th>Name</th>
  2100. <th>Type</th>
  2101. <th class="last">Description</th>
  2102. </tr>
  2103. </thead>
  2104. <tbody>
  2105. <tr>
  2106. <td class="name"><code>out</code></td>
  2107. <td class="type">
  2108. <span class="param-type">mat4</span>
  2109. </td>
  2110. <td class="description last">the receiving matrix</td>
  2111. </tr>
  2112. <tr>
  2113. <td class="name"><code>a</code></td>
  2114. <td class="type">
  2115. <span class="param-type">mat4</span>
  2116. </td>
  2117. <td class="description last">the matrix to rotate</td>
  2118. </tr>
  2119. <tr>
  2120. <td class="name"><code>rad</code></td>
  2121. <td class="type">
  2122. <span class="param-type">Number</span>
  2123. </td>
  2124. <td class="description last">the angle to rotate the matrix by</td>
  2125. </tr>
  2126. </tbody>
  2127. </table>
  2128. <dl class="details">
  2129. <dt class="tag-source">Source:</dt>
  2130. <dd class="tag-source"><ul class="dummy"><li>
  2131. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line586">line 586</a>
  2132. </li></ul></dd>
  2133. </dl>
  2134. <h5>Returns:</h5>
  2135. <div class="param-desc">
  2136. out
  2137. </div>
  2138. <dl>
  2139. <dt>
  2140. Type
  2141. </dt>
  2142. <dd>
  2143. <span class="param-type">mat4</span>
  2144. </dd>
  2145. </dl>
  2146. <h4 class="name" id=".rotateZ"><span class="type-signature">(static) </span>rotateZ<span class="signature">(out, a, rad)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  2147. <div class="description">
  2148. Rotates a matrix by the given angle around the Z axis
  2149. </div>
  2150. <h5>Parameters:</h5>
  2151. <table class="params">
  2152. <thead>
  2153. <tr>
  2154. <th>Name</th>
  2155. <th>Type</th>
  2156. <th class="last">Description</th>
  2157. </tr>
  2158. </thead>
  2159. <tbody>
  2160. <tr>
  2161. <td class="name"><code>out</code></td>
  2162. <td class="type">
  2163. <span class="param-type">mat4</span>
  2164. </td>
  2165. <td class="description last">the receiving matrix</td>
  2166. </tr>
  2167. <tr>
  2168. <td class="name"><code>a</code></td>
  2169. <td class="type">
  2170. <span class="param-type">mat4</span>
  2171. </td>
  2172. <td class="description last">the matrix to rotate</td>
  2173. </tr>
  2174. <tr>
  2175. <td class="name"><code>rad</code></td>
  2176. <td class="type">
  2177. <span class="param-type">Number</span>
  2178. </td>
  2179. <td class="description last">the angle to rotate the matrix by</td>
  2180. </tr>
  2181. </tbody>
  2182. </table>
  2183. <dl class="details">
  2184. <dt class="tag-source">Source:</dt>
  2185. <dd class="tag-source"><ul class="dummy"><li>
  2186. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line629">line 629</a>
  2187. </li></ul></dd>
  2188. </dl>
  2189. <h5>Returns:</h5>
  2190. <div class="param-desc">
  2191. out
  2192. </div>
  2193. <dl>
  2194. <dt>
  2195. Type
  2196. </dt>
  2197. <dd>
  2198. <span class="param-type">mat4</span>
  2199. </dd>
  2200. </dl>
  2201. <h4 class="name" id=".scale"><span class="type-signature">(static) </span>scale<span class="signature">(out, a, v)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  2202. <div class="description">
  2203. Scales the mat4 by the dimensions in the given vec3 not using vectorization
  2204. </div>
  2205. <h5>Parameters:</h5>
  2206. <table class="params">
  2207. <thead>
  2208. <tr>
  2209. <th>Name</th>
  2210. <th>Type</th>
  2211. <th class="last">Description</th>
  2212. </tr>
  2213. </thead>
  2214. <tbody>
  2215. <tr>
  2216. <td class="name"><code>out</code></td>
  2217. <td class="type">
  2218. <span class="param-type">mat4</span>
  2219. </td>
  2220. <td class="description last">the receiving matrix</td>
  2221. </tr>
  2222. <tr>
  2223. <td class="name"><code>a</code></td>
  2224. <td class="type">
  2225. <span class="param-type">mat4</span>
  2226. </td>
  2227. <td class="description last">the matrix to scale</td>
  2228. </tr>
  2229. <tr>
  2230. <td class="name"><code>v</code></td>
  2231. <td class="type">
  2232. <span class="param-type">vec3</span>
  2233. </td>
  2234. <td class="description last">the vec3 to scale the matrix by</td>
  2235. </tr>
  2236. </tbody>
  2237. </table>
  2238. <dl class="details">
  2239. <dt class="tag-source">Source:</dt>
  2240. <dd class="tag-source"><ul class="dummy"><li>
  2241. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line450">line 450</a>
  2242. </li></ul></dd>
  2243. </dl>
  2244. <h5>Returns:</h5>
  2245. <div class="param-desc">
  2246. out
  2247. </div>
  2248. <dl>
  2249. <dt>
  2250. Type
  2251. </dt>
  2252. <dd>
  2253. <span class="param-type">mat4</span>
  2254. </dd>
  2255. </dl>
  2256. <h4 class="name" id=".set"><span class="type-signature">(static) </span>set<span class="signature">(out, m00, m01, m02, m03, m10, m11, m12, m13, m20, m21, m22, m23, m30, m31, m32, m33)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  2257. <div class="description">
  2258. Set the components of a mat4 to the given values
  2259. </div>
  2260. <h5>Parameters:</h5>
  2261. <table class="params">
  2262. <thead>
  2263. <tr>
  2264. <th>Name</th>
  2265. <th>Type</th>
  2266. <th class="last">Description</th>
  2267. </tr>
  2268. </thead>
  2269. <tbody>
  2270. <tr>
  2271. <td class="name"><code>out</code></td>
  2272. <td class="type">
  2273. <span class="param-type">mat4</span>
  2274. </td>
  2275. <td class="description last">the receiving matrix</td>
  2276. </tr>
  2277. <tr>
  2278. <td class="name"><code>m00</code></td>
  2279. <td class="type">
  2280. <span class="param-type">Number</span>
  2281. </td>
  2282. <td class="description last">Component in column 0, row 0 position (index 0)</td>
  2283. </tr>
  2284. <tr>
  2285. <td class="name"><code>m01</code></td>
  2286. <td class="type">
  2287. <span class="param-type">Number</span>
  2288. </td>
  2289. <td class="description last">Component in column 0, row 1 position (index 1)</td>
  2290. </tr>
  2291. <tr>
  2292. <td class="name"><code>m02</code></td>
  2293. <td class="type">
  2294. <span class="param-type">Number</span>
  2295. </td>
  2296. <td class="description last">Component in column 0, row 2 position (index 2)</td>
  2297. </tr>
  2298. <tr>
  2299. <td class="name"><code>m03</code></td>
  2300. <td class="type">
  2301. <span class="param-type">Number</span>
  2302. </td>
  2303. <td class="description last">Component in column 0, row 3 position (index 3)</td>
  2304. </tr>
  2305. <tr>
  2306. <td class="name"><code>m10</code></td>
  2307. <td class="type">
  2308. <span class="param-type">Number</span>
  2309. </td>
  2310. <td class="description last">Component in column 1, row 0 position (index 4)</td>
  2311. </tr>
  2312. <tr>
  2313. <td class="name"><code>m11</code></td>
  2314. <td class="type">
  2315. <span class="param-type">Number</span>
  2316. </td>
  2317. <td class="description last">Component in column 1, row 1 position (index 5)</td>
  2318. </tr>
  2319. <tr>
  2320. <td class="name"><code>m12</code></td>
  2321. <td class="type">
  2322. <span class="param-type">Number</span>
  2323. </td>
  2324. <td class="description last">Component in column 1, row 2 position (index 6)</td>
  2325. </tr>
  2326. <tr>
  2327. <td class="name"><code>m13</code></td>
  2328. <td class="type">
  2329. <span class="param-type">Number</span>
  2330. </td>
  2331. <td class="description last">Component in column 1, row 3 position (index 7)</td>
  2332. </tr>
  2333. <tr>
  2334. <td class="name"><code>m20</code></td>
  2335. <td class="type">
  2336. <span class="param-type">Number</span>
  2337. </td>
  2338. <td class="description last">Component in column 2, row 0 position (index 8)</td>
  2339. </tr>
  2340. <tr>
  2341. <td class="name"><code>m21</code></td>
  2342. <td class="type">
  2343. <span class="param-type">Number</span>
  2344. </td>
  2345. <td class="description last">Component in column 2, row 1 position (index 9)</td>
  2346. </tr>
  2347. <tr>
  2348. <td class="name"><code>m22</code></td>
  2349. <td class="type">
  2350. <span class="param-type">Number</span>
  2351. </td>
  2352. <td class="description last">Component in column 2, row 2 position (index 10)</td>
  2353. </tr>
  2354. <tr>
  2355. <td class="name"><code>m23</code></td>
  2356. <td class="type">
  2357. <span class="param-type">Number</span>
  2358. </td>
  2359. <td class="description last">Component in column 2, row 3 position (index 11)</td>
  2360. </tr>
  2361. <tr>
  2362. <td class="name"><code>m30</code></td>
  2363. <td class="type">
  2364. <span class="param-type">Number</span>
  2365. </td>
  2366. <td class="description last">Component in column 3, row 0 position (index 12)</td>
  2367. </tr>
  2368. <tr>
  2369. <td class="name"><code>m31</code></td>
  2370. <td class="type">
  2371. <span class="param-type">Number</span>
  2372. </td>
  2373. <td class="description last">Component in column 3, row 1 position (index 13)</td>
  2374. </tr>
  2375. <tr>
  2376. <td class="name"><code>m32</code></td>
  2377. <td class="type">
  2378. <span class="param-type">Number</span>
  2379. </td>
  2380. <td class="description last">Component in column 3, row 2 position (index 14)</td>
  2381. </tr>
  2382. <tr>
  2383. <td class="name"><code>m33</code></td>
  2384. <td class="type">
  2385. <span class="param-type">Number</span>
  2386. </td>
  2387. <td class="description last">Component in column 3, row 3 position (index 15)</td>
  2388. </tr>
  2389. </tbody>
  2390. </table>
  2391. <dl class="details">
  2392. <dt class="tag-source">Source:</dt>
  2393. <dd class="tag-source"><ul class="dummy"><li>
  2394. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line154">line 154</a>
  2395. </li></ul></dd>
  2396. </dl>
  2397. <h5>Returns:</h5>
  2398. <div class="param-desc">
  2399. out
  2400. </div>
  2401. <dl>
  2402. <dt>
  2403. Type
  2404. </dt>
  2405. <dd>
  2406. <span class="param-type">mat4</span>
  2407. </dd>
  2408. </dl>
  2409. <h4 class="name" id=".str"><span class="type-signature">(static) </span>str<span class="signature">(a)</span><span class="type-signature"> &rarr; {String}</span></h4>
  2410. <div class="description">
  2411. Returns a string representation of a mat4
  2412. </div>
  2413. <h5>Parameters:</h5>
  2414. <table class="params">
  2415. <thead>
  2416. <tr>
  2417. <th>Name</th>
  2418. <th>Type</th>
  2419. <th class="last">Description</th>
  2420. </tr>
  2421. </thead>
  2422. <tbody>
  2423. <tr>
  2424. <td class="name"><code>a</code></td>
  2425. <td class="type">
  2426. <span class="param-type">mat4</span>
  2427. </td>
  2428. <td class="description last">matrix to represent as a string</td>
  2429. </tr>
  2430. </tbody>
  2431. </table>
  2432. <dl class="details">
  2433. <dt class="tag-source">Source:</dt>
  2434. <dd class="tag-source"><ul class="dummy"><li>
  2435. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1525">line 1525</a>
  2436. </li></ul></dd>
  2437. </dl>
  2438. <h5>Returns:</h5>
  2439. <div class="param-desc">
  2440. string representation of the matrix
  2441. </div>
  2442. <dl>
  2443. <dt>
  2444. Type
  2445. </dt>
  2446. <dd>
  2447. <span class="param-type">String</span>
  2448. </dd>
  2449. </dl>
  2450. <h4 class="name" id=".sub"><span class="type-signature">(static) </span>sub<span class="signature">()</span><span class="type-signature"></span></h4>
  2451. <div class="description">
  2452. Alias for mat4.subtract
  2453. </div>
  2454. <dl class="details">
  2455. <dt class="tag-source">Source:</dt>
  2456. <dd class="tag-source"><ul class="dummy"><li>
  2457. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1715">line 1715</a>
  2458. </li></ul></dd>
  2459. </dl>
  2460. <h4 class="name" id=".subtract"><span class="type-signature">(static) </span>subtract<span class="signature">(out, a, b)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  2461. <div class="description">
  2462. Subtracts matrix b from matrix a
  2463. </div>
  2464. <h5>Parameters:</h5>
  2465. <table class="params">
  2466. <thead>
  2467. <tr>
  2468. <th>Name</th>
  2469. <th>Type</th>
  2470. <th class="last">Description</th>
  2471. </tr>
  2472. </thead>
  2473. <tbody>
  2474. <tr>
  2475. <td class="name"><code>out</code></td>
  2476. <td class="type">
  2477. <span class="param-type">mat4</span>
  2478. </td>
  2479. <td class="description last">the receiving matrix</td>
  2480. </tr>
  2481. <tr>
  2482. <td class="name"><code>a</code></td>
  2483. <td class="type">
  2484. <span class="param-type">mat4</span>
  2485. </td>
  2486. <td class="description last">the first operand</td>
  2487. </tr>
  2488. <tr>
  2489. <td class="name"><code>b</code></td>
  2490. <td class="type">
  2491. <span class="param-type">mat4</span>
  2492. </td>
  2493. <td class="description last">the second operand</td>
  2494. </tr>
  2495. </tbody>
  2496. </table>
  2497. <dl class="details">
  2498. <dt class="tag-source">Source:</dt>
  2499. <dd class="tag-source"><ul class="dummy"><li>
  2500. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1578">line 1578</a>
  2501. </li></ul></dd>
  2502. </dl>
  2503. <h5>Returns:</h5>
  2504. <div class="param-desc">
  2505. out
  2506. </div>
  2507. <dl>
  2508. <dt>
  2509. Type
  2510. </dt>
  2511. <dd>
  2512. <span class="param-type">mat4</span>
  2513. </dd>
  2514. </dl>
  2515. <h4 class="name" id=".targetTo"><span class="type-signature">(static) </span>targetTo<span class="signature">(out, eye, center, up)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  2516. <div class="description">
  2517. Generates a matrix that makes something look at something else.
  2518. </div>
  2519. <h5>Parameters:</h5>
  2520. <table class="params">
  2521. <thead>
  2522. <tr>
  2523. <th>Name</th>
  2524. <th>Type</th>
  2525. <th class="last">Description</th>
  2526. </tr>
  2527. </thead>
  2528. <tbody>
  2529. <tr>
  2530. <td class="name"><code>out</code></td>
  2531. <td class="type">
  2532. <span class="param-type">mat4</span>
  2533. </td>
  2534. <td class="description last">mat4 frustum matrix will be written into</td>
  2535. </tr>
  2536. <tr>
  2537. <td class="name"><code>eye</code></td>
  2538. <td class="type">
  2539. <span class="param-type">vec3</span>
  2540. </td>
  2541. <td class="description last">Position of the viewer</td>
  2542. </tr>
  2543. <tr>
  2544. <td class="name"><code>center</code></td>
  2545. <td class="type">
  2546. <span class="param-type">vec3</span>
  2547. </td>
  2548. <td class="description last">Point the viewer is looking at</td>
  2549. </tr>
  2550. <tr>
  2551. <td class="name"><code>up</code></td>
  2552. <td class="type">
  2553. <span class="param-type">vec3</span>
  2554. </td>
  2555. <td class="description last">vec3 pointing up</td>
  2556. </tr>
  2557. </tbody>
  2558. </table>
  2559. <dl class="details">
  2560. <dt class="tag-source">Source:</dt>
  2561. <dd class="tag-source"><ul class="dummy"><li>
  2562. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line1468">line 1468</a>
  2563. </li></ul></dd>
  2564. </dl>
  2565. <h5>Returns:</h5>
  2566. <div class="param-desc">
  2567. out
  2568. </div>
  2569. <dl>
  2570. <dt>
  2571. Type
  2572. </dt>
  2573. <dd>
  2574. <span class="param-type">mat4</span>
  2575. </dd>
  2576. </dl>
  2577. <h4 class="name" id=".translate"><span class="type-signature">(static) </span>translate<span class="signature">(out, a, v)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  2578. <div class="description">
  2579. Translate a mat4 by the given vector
  2580. </div>
  2581. <h5>Parameters:</h5>
  2582. <table class="params">
  2583. <thead>
  2584. <tr>
  2585. <th>Name</th>
  2586. <th>Type</th>
  2587. <th class="last">Description</th>
  2588. </tr>
  2589. </thead>
  2590. <tbody>
  2591. <tr>
  2592. <td class="name"><code>out</code></td>
  2593. <td class="type">
  2594. <span class="param-type">mat4</span>
  2595. </td>
  2596. <td class="description last">the receiving matrix</td>
  2597. </tr>
  2598. <tr>
  2599. <td class="name"><code>a</code></td>
  2600. <td class="type">
  2601. <span class="param-type">mat4</span>
  2602. </td>
  2603. <td class="description last">the matrix to translate</td>
  2604. </tr>
  2605. <tr>
  2606. <td class="name"><code>v</code></td>
  2607. <td class="type">
  2608. <span class="param-type">vec3</span>
  2609. </td>
  2610. <td class="description last">vector to translate by</td>
  2611. </tr>
  2612. </tbody>
  2613. </table>
  2614. <dl class="details">
  2615. <dt class="tag-source">Source:</dt>
  2616. <dd class="tag-source"><ul class="dummy"><li>
  2617. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line413">line 413</a>
  2618. </li></ul></dd>
  2619. </dl>
  2620. <h5>Returns:</h5>
  2621. <div class="param-desc">
  2622. out
  2623. </div>
  2624. <dl>
  2625. <dt>
  2626. Type
  2627. </dt>
  2628. <dd>
  2629. <span class="param-type">mat4</span>
  2630. </dd>
  2631. </dl>
  2632. <h4 class="name" id=".transpose"><span class="type-signature">(static) </span>transpose<span class="signature">(out, a)</span><span class="type-signature"> &rarr; {mat4}</span></h4>
  2633. <div class="description">
  2634. Transpose the values of a mat4
  2635. </div>
  2636. <h5>Parameters:</h5>
  2637. <table class="params">
  2638. <thead>
  2639. <tr>
  2640. <th>Name</th>
  2641. <th>Type</th>
  2642. <th class="last">Description</th>
  2643. </tr>
  2644. </thead>
  2645. <tbody>
  2646. <tr>
  2647. <td class="name"><code>out</code></td>
  2648. <td class="type">
  2649. <span class="param-type">mat4</span>
  2650. </td>
  2651. <td class="description last">the receiving matrix</td>
  2652. </tr>
  2653. <tr>
  2654. <td class="name"><code>a</code></td>
  2655. <td class="type">
  2656. <span class="param-type">mat4</span>
  2657. </td>
  2658. <td class="description last">the source matrix</td>
  2659. </tr>
  2660. </tbody>
  2661. </table>
  2662. <dl class="details">
  2663. <dt class="tag-source">Source:</dt>
  2664. <dd class="tag-source"><ul class="dummy"><li>
  2665. <a href="mat4.js.html">mat4.js</a>, <a href="mat4.js.html#line208">line 208</a>
  2666. </li></ul></dd>
  2667. </dl>
  2668. <h5>Returns:</h5>
  2669. <div class="param-desc">
  2670. out
  2671. </div>
  2672. <dl>
  2673. <dt>
  2674. Type
  2675. </dt>
  2676. <dd>
  2677. <span class="param-type">mat4</span>
  2678. </dd>
  2679. </dl>
  2680. </article>
  2681. </section>
  2682. </div>
  2683. <nav>
  2684. <h2><a href="index.html">Home</a></h2><h3>Modules</h3><ul><li><a href="module-glMatrix.html">glMatrix</a></li><li><a href="module-mat2.html">mat2</a></li><li><a href="module-mat2d.html">mat2d</a></li><li><a href="module-mat3.html">mat3</a></li><li><a href="module-mat4.html">mat4</a></li><li><a href="module-quat.html">quat</a></li><li><a href="module-quat2.html">quat2</a></li><li><a href="module-vec2.html">vec2</a></li><li><a href="module-vec3.html">vec3</a></li><li><a href="module-vec4.html">vec4</a></li></ul>
  2685. </nav>
  2686. <br class="clear">
  2687. <footer>
  2688. Documentation generated by <a href="https://github.com/jsdoc3/jsdoc">JSDoc 3.5.5</a> on Fri Jul 13 2018 11:51:34 GMT+0200 (W. Europe Daylight Time)
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  2690. <script> prettyPrint(); </script>
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  2693. </html>