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Quaternion.html

Quaternion.html 34 KB
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  1. <!DOCTYPE html>
    2. 

  2. <html lang="en">
    3. 

  3. <head>
    4. 

  4. 	<meta charset="utf-8">
    5. 

  5. 	<title>Quaternion - Three.js Docs</title>
    6. 

  6. 	<meta name="viewport" content="width=device-width, user-scalable=no, minimum-scale=1.0, maximum-scale=1.0">
    7. 

  7. 	<script src="../scripts/highlight.min.js"></script>
    8. 

  8. 	<link type="text/css" rel="stylesheet" href="../styles/highlight-three.css">
    9. 

  9. 	<link type="text/css" rel="stylesheet" href="../styles/page.css">
    10. 

  10. </head>
    11. 

  11. <body>
    12. 

  12. 	<h1 translate="no">Quaternion</h1>
    13. 

  13. 		<section>
    14. 

  14. 			<header>
    15. 

  15. 				<div class="class-description"><p>Class for representing a Quaternion. Quaternions are used in three.js to represent rotations.</p>
    16. 

  16. <p>Iterating through a vector instance will yield its components <code>(x, y, z, w)</code> in
    17. 

  17. the corresponding order.</p>
    18. 

  18. <p>Note that three.js expects Quaternions to be normalized.</p></div>
    19. 

  19. 				<h2>Code Example</h2>
    20. 

  20. 				<div translate="no"><pre><code class="language-js">const quaternion = new THREE.Quaternion();
    21. 

  21. quaternion.setFromAxisAngle( new THREE.Vector3( 0, 1, 0 ), Math.PI / 2 );
    22. 

  22. const vector = new THREE.Vector3( 1, 0, 0 );
    23. 

  23. vector.applyQuaternion( quaternion );
    24. 

  24. </code></pre></div>
    25. 

  25. 			</header>
    26. 

  26. 			<article>
    27. 

  27. 				<div class="container-overview">
    28. 

  28. 					<h2>Constructor</h2>
    29. 

  29. 					<h3 class="name name-method" id="Quaternion" translate="no">new <a href="#Quaternion">Quaternion</a><span class="signature">( x : <span class="param-type">number</span>, y : <span class="param-type">number</span>, z : <span class="param-type">number</span>, w : <span class="param-type">number</span> )</span> </h3>
    30. 

  30. 					<div class="method">
    31. 

  31. 						<div class="description">
    32. 

  32. 							<p>Constructs a new quaternion.</p>
    33. 

  33. 						</div>
    34. 

  34. 						<table class="params">
    35. 

  35. 							<tbody>
    36. 

  36. 								<tr>
    37. 

  37. 									<td class="name">
    38. 

  38. 										<strong>x</strong>
    39. 

  39. 									</td>
    40. 

  40. 									<td class="description last">
    41. 

  41. 										<p>The x value of this quaternion.</p>
    42. 

  42. 										<p>Default is <code>0</code>.</p>
    43. 

  43. 									</td>
    44. 

  44. 								</tr>
    45. 

  45. 								<tr>
    46. 

  46. 									<td class="name">
    47. 

  47. 										<strong>y</strong>
    48. 

  48. 									</td>
    49. 

  49. 									<td class="description last">
    50. 

  50. 										<p>The y value of this quaternion.</p>
    51. 

  51. 										<p>Default is <code>0</code>.</p>
    52. 

  52. 									</td>
    53. 

  53. 								</tr>
    54. 

  54. 								<tr>
    55. 

  55. 									<td class="name">
    56. 

  56. 										<strong>z</strong>
    57. 

  57. 									</td>
    58. 

  58. 									<td class="description last">
    59. 

  59. 										<p>The z value of this quaternion.</p>
    60. 

  60. 										<p>Default is <code>0</code>.</p>
    61. 

  61. 									</td>
    62. 

  62. 								</tr>
    63. 

  63. 								<tr>
    64. 

  64. 									<td class="name">
    65. 

  65. 										<strong>w</strong>
    66. 

  66. 									</td>
    67. 

  67. 									<td class="description last">
    68. 

  68. 										<p>The w value of this quaternion.</p>
    69. 

  69. 										<p>Default is <code>1</code>.</p>
    70. 

  70. 									</td>
    71. 

  71. 								</tr>
    72. 

  72. 							</tbody>
    73. 

  73. 						</table>
    74. 

  74. 					</div>
    75. 

  75. 				</div>
    76. 

  76. 				<h2 class="subsection-title">Properties</h2>
    77. 

  77. 				<div class="member">
    78. 

  78. 					<h3 class="name" id="isQuaternion" translate="no">.<a href="#isQuaternion">isQuaternion</a><span class="type-signature"> : boolean</span> <span class="type-signature">(readonly) </span></h3>
    79. 

  79. 					<div class="description">
    80. 

  80. 						<p>This flag can be used for type testing.</p>
    81. 

  81. 						<p>Default is <code>true</code>.</p>
    82. 

  82. 					</div>
    83. 

  83. 				</div>
    84. 

  84. 				<div class="member">
    85. 

  85. 					<h3 class="name" id="w" translate="no">.<a href="#w">w</a><span class="type-signature"> : number</span> </h3>
    86. 

  86. 					<div class="description">
    87. 

  87. 						<p>The w value of this quaternion.</p>
    88. 

  88. 						<p>Default is <code>1</code>.</p>
    89. 

  89. 					</div>
    90. 

  90. 				</div>
    91. 

  91. 				<div class="member">
    92. 

  92. 					<h3 class="name" id="x" translate="no">.<a href="#x">x</a><span class="type-signature"> : number</span> </h3>
    93. 

  93. 					<div class="description">
    94. 

  94. 						<p>The x value of this quaternion.</p>
    95. 

  95. 						<p>Default is <code>0</code>.</p>
    96. 

  96. 					</div>
    97. 

  97. 				</div>
    98. 

  98. 				<div class="member">
    99. 

  99. 					<h3 class="name" id="y" translate="no">.<a href="#y">y</a><span class="type-signature"> : number</span> </h3>
    100. 

  100. 					<div class="description">
    101. 

  101. 						<p>The y value of this quaternion.</p>
    102. 

  102. 						<p>Default is <code>0</code>.</p>
    103. 

  103. 					</div>
    104. 

  104. 				</div>
    105. 

  105. 				<div class="member">
    106. 

  106. 					<h3 class="name" id="z" translate="no">.<a href="#z">z</a><span class="type-signature"> : number</span> </h3>
    107. 

  107. 					<div class="description">
    108. 

  108. 						<p>The z value of this quaternion.</p>
    109. 

  109. 						<p>Default is <code>0</code>.</p>
    110. 

  110. 					</div>
    111. 

  111. 				</div>
    112. 

  112. 				<h2 class="subsection-title">Methods</h2>
    113. 

  113. 					<h3 class="name name-method" id="angleTo" translate="no">.<a href="#angleTo">angleTo</a><span class="signature">( q : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span> )</span><span class="type-signature"> : number</span> </h3>
    114. 

  114. 					<div class="method">
    115. 

  115. 						<div class="description">
    116. 

  116. 							<p>Returns the angle between this quaternion and the given one in radians.</p>
    117. 

  117. 						</div>
    118. 

  118. 						<table class="params">
    119. 

  119. 							<tbody>
    120. 

  120. 								<tr>
    121. 

  121. 									<td class="name">
    122. 

  122. 										<strong>q</strong>
    123. 

  123. 									</td>
    124. 

  124. 									<td class="description last">
    125. 

  125. 										<p>The quaternion to compute the angle with.</p>
    126. 

  126. 									</td>
    127. 

  127. 								</tr>
    128. 

  128. 							</tbody>
    129. 

  129. 						</table>
    130. 

  130. 						<dl class="details">
    131. 

  131. 							<dt class="tag-returns"><strong>Returns:</strong> The angle in radians.</dt>
    132. 

  132. 						</dl>
    133. 

  133. 					</div>
    134. 

  134. 					<h3 class="name name-method" id="clone" translate="no">.<a href="#clone">clone</a><span class="signature">()</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    135. 

  135. 					<div class="method">
    136. 

  136. 						<div class="description">
    137. 

  137. 							<p>Returns a new quaternion with copied values from this instance.</p>
    138. 

  138. 						</div>
    139. 

  139. 						<dl class="details">
    140. 

  140. 							<dt class="tag-returns"><strong>Returns:</strong> A clone of this instance.</dt>
    141. 

  141. 						</dl>
    142. 

  142. 					</div>
    143. 

  143. 					<h3 class="name name-method" id="conjugate" translate="no">.<a href="#conjugate">conjugate</a><span class="signature">()</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    144. 

  144. 					<div class="method">
    145. 

  145. 						<div class="description">
    146. 

  146. 							<p>Returns the rotational conjugate of this quaternion. The conjugate of a
    147. 

  147. quaternion represents the same rotation in the opposite direction about
    148. 

  148. the rotational axis.</p>
    149. 

  149. 						</div>
    150. 

  150. 						<dl class="details">
    151. 

  151. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    152. 

  152. 						</dl>
    153. 

  153. 					</div>
    154. 

  154. 					<h3 class="name name-method" id="copy" translate="no">.<a href="#copy">copy</a><span class="signature">( quaternion : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    155. 

  155. 					<div class="method">
    156. 

  156. 						<div class="description">
    157. 

  157. 							<p>Copies the values of the given quaternion to this instance.</p>
    158. 

  158. 						</div>
    159. 

  159. 						<table class="params">
    160. 

  160. 							<tbody>
    161. 

  161. 								<tr>
    162. 

  162. 									<td class="name">
    163. 

  163. 										<strong>quaternion</strong>
    164. 

  164. 									</td>
    165. 

  165. 									<td class="description last">
    166. 

  166. 										<p>The quaternion to copy.</p>
    167. 

  167. 									</td>
    168. 

  168. 								</tr>
    169. 

  169. 							</tbody>
    170. 

  170. 						</table>
    171. 

  171. 						<dl class="details">
    172. 

  172. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    173. 

  173. 						</dl>
    174. 

  174. 					</div>
    175. 

  175. 					<h3 class="name name-method" id="dot" translate="no">.<a href="#dot">dot</a><span class="signature">( v : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span> )</span><span class="type-signature"> : number</span> </h3>
    176. 

  176. 					<div class="method">
    177. 

  177. 						<div class="description">
    178. 

  178. 							<p>Calculates the dot product of this quaternion and the given one.</p>
    179. 

  179. 						</div>
    180. 

  180. 						<table class="params">
    181. 

  181. 							<tbody>
    182. 

  182. 								<tr>
    183. 

  183. 									<td class="name">
    184. 

  184. 										<strong>v</strong>
    185. 

  185. 									</td>
    186. 

  186. 									<td class="description last">
    187. 

  187. 										<p>The quaternion to compute the dot product with.</p>
    188. 

  188. 									</td>
    189. 

  189. 								</tr>
    190. 

  190. 							</tbody>
    191. 

  191. 						</table>
    192. 

  192. 						<dl class="details">
    193. 

  193. 							<dt class="tag-returns"><strong>Returns:</strong> The result of the dot product.</dt>
    194. 

  194. 						</dl>
    195. 

  195. 					</div>
    196. 

  196. 					<h3 class="name name-method" id="equals" translate="no">.<a href="#equals">equals</a><span class="signature">( quaternion : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span> )</span><span class="type-signature"> : boolean</span> </h3>
    197. 

  197. 					<div class="method">
    198. 

  198. 						<div class="description">
    199. 

  199. 							<p>Returns <code>true</code> if this quaternion is equal with the given one.</p>
    200. 

  200. 						</div>
    201. 

  201. 						<table class="params">
    202. 

  202. 							<tbody>
    203. 

  203. 								<tr>
    204. 

  204. 									<td class="name">
    205. 

  205. 										<strong>quaternion</strong>
    206. 

  206. 									</td>
    207. 

  207. 									<td class="description last">
    208. 

  208. 										<p>The quaternion to test for equality.</p>
    209. 

  209. 									</td>
    210. 

  210. 								</tr>
    211. 

  211. 							</tbody>
    212. 

  212. 						</table>
    213. 

  213. 						<dl class="details">
    214. 

  214. 							<dt class="tag-returns"><strong>Returns:</strong> Whether this quaternion is equal with the given one.</dt>
    215. 

  215. 						</dl>
    216. 

  216. 					</div>
    217. 

  217. 					<h3 class="name name-method" id="fromArray" translate="no">.<a href="#fromArray">fromArray</a><span class="signature">( array : <span class="param-type">Array.&lt;number></span>, offset : <span class="param-type">number</span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    218. 

  218. 					<div class="method">
    219. 

  219. 						<div class="description">
    220. 

  220. 							<p>Sets this quaternion's components from the given array.</p>
    221. 

  221. 						</div>
    222. 

  222. 						<table class="params">
    223. 

  223. 							<tbody>
    224. 

  224. 								<tr>
    225. 

  225. 									<td class="name">
    226. 

  226. 										<strong>array</strong>
    227. 

  227. 									</td>
    228. 

  228. 									<td class="description last">
    229. 

  229. 										<p>An array holding the quaternion component values.</p>
    230. 

  230. 									</td>
    231. 

  231. 								</tr>
    232. 

  232. 								<tr>
    233. 

  233. 									<td class="name">
    234. 

  234. 										<strong>offset</strong>
    235. 

  235. 									</td>
    236. 

  236. 									<td class="description last">
    237. 

  237. 										<p>The offset into the array.</p>
    238. 

  238. 										<p>Default is <code>0</code>.</p>
    239. 

  239. 									</td>
    240. 

  240. 								</tr>
    241. 

  241. 							</tbody>
    242. 

  242. 						</table>
    243. 

  243. 						<dl class="details">
    244. 

  244. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    245. 

  245. 						</dl>
    246. 

  246. 					</div>
    247. 

  247. 					<h3 class="name name-method" id="fromBufferAttribute" translate="no">.<a href="#fromBufferAttribute">fromBufferAttribute</a><span class="signature">( attribute : <span class="param-type"><a href="BufferAttribute.html">BufferAttribute</a></span>, index : <span class="param-type">number</span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    248. 

  248. 					<div class="method">
    249. 

  249. 						<div class="description">
    250. 

  250. 							<p>Sets the components of this quaternion from the given buffer attribute.</p>
    251. 

  251. 						</div>
    252. 

  252. 						<table class="params">
    253. 

  253. 							<tbody>
    254. 

  254. 								<tr>
    255. 

  255. 									<td class="name">
    256. 

  256. 										<strong>attribute</strong>
    257. 

  257. 									</td>
    258. 

  258. 									<td class="description last">
    259. 

  259. 										<p>The buffer attribute holding quaternion data.</p>
    260. 

  260. 									</td>
    261. 

  261. 								</tr>
    262. 

  262. 								<tr>
    263. 

  263. 									<td class="name">
    264. 

  264. 										<strong>index</strong>
    265. 

  265. 									</td>
    266. 

  266. 									<td class="description last">
    267. 

  267. 										<p>The index into the attribute.</p>
    268. 

  268. 									</td>
    269. 

  269. 								</tr>
    270. 

  270. 							</tbody>
    271. 

  271. 						</table>
    272. 

  272. 						<dl class="details">
    273. 

  273. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    274. 

  274. 						</dl>
    275. 

  275. 					</div>
    276. 

  276. 					<h3 class="name name-method" id="identity" translate="no">.<a href="#identity">identity</a><span class="signature">()</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    277. 

  277. 					<div class="method">
    278. 

  278. 						<div class="description">
    279. 

  279. 							<p>Sets this quaternion to the identity quaternion; that is, to the
    280. 

  280. quaternion that represents &quot;no rotation&quot;.</p>
    281. 

  281. 						</div>
    282. 

  282. 						<dl class="details">
    283. 

  283. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    284. 

  284. 						</dl>
    285. 

  285. 					</div>
    286. 

  286. 					<h3 class="name name-method" id="invert" translate="no">.<a href="#invert">invert</a><span class="signature">()</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    287. 

  287. 					<div class="method">
    288. 

  288. 						<div class="description">
    289. 

  289. 							<p>Inverts this quaternion via <a href="Quaternion.html#conjugate">Quaternion#conjugate</a>. The
    290. 

  290. quaternion is assumed to have unit length.</p>
    291. 

  291. 						</div>
    292. 

  292. 						<dl class="details">
    293. 

  293. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    294. 

  294. 						</dl>
    295. 

  295. 					</div>
    296. 

  296. 					<h3 class="name name-method" id="length" translate="no">.<a href="#length">length</a><span class="signature">()</span><span class="type-signature"> : number</span> </h3>
    297. 

  297. 					<div class="method">
    298. 

  298. 						<div class="description">
    299. 

  299. 							<p>Computes the Euclidean length (straight-line length) of this quaternion,
    300. 

  300. considered as a 4 dimensional vector.</p>
    301. 

  301. 						</div>
    302. 

  302. 						<dl class="details">
    303. 

  303. 							<dt class="tag-returns"><strong>Returns:</strong> The Euclidean length.</dt>
    304. 

  304. 						</dl>
    305. 

  305. 					</div>
    306. 

  306. 					<h3 class="name name-method" id="lengthSq" translate="no">.<a href="#lengthSq">lengthSq</a><span class="signature">()</span><span class="type-signature"> : number</span> </h3>
    307. 

  307. 					<div class="method">
    308. 

  308. 						<div class="description">
    309. 

  309. 							<p>Computes the squared Euclidean length (straight-line length) of this quaternion,
    310. 

  310. considered as a 4 dimensional vector. This can be useful if you are comparing the
    311. 

  311. lengths of two quaternions, as this is a slightly more efficient calculation than
    312. 

  312. <a href="Quaternion.html#length">Quaternion#length</a>.</p>
    313. 

  313. 						</div>
    314. 

  314. 						<dl class="details">
    315. 

  315. 							<dt class="tag-returns"><strong>Returns:</strong> The squared Euclidean length.</dt>
    316. 

  316. 						</dl>
    317. 

  317. 					</div>
    318. 

  318. 					<h3 class="name name-method" id="multiply" translate="no">.<a href="#multiply">multiply</a><span class="signature">( q : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    319. 

  319. 					<div class="method">
    320. 

  320. 						<div class="description">
    321. 

  321. 							<p>Multiplies this quaternion by the given one.</p>
    322. 

  322. 						</div>
    323. 

  323. 						<table class="params">
    324. 

  324. 							<tbody>
    325. 

  325. 								<tr>
    326. 

  326. 									<td class="name">
    327. 

  327. 										<strong>q</strong>
    328. 

  328. 									</td>
    329. 

  329. 									<td class="description last">
    330. 

  330. 										<p>The quaternion.</p>
    331. 

  331. 									</td>
    332. 

  332. 								</tr>
    333. 

  333. 							</tbody>
    334. 

  334. 						</table>
    335. 

  335. 						<dl class="details">
    336. 

  336. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    337. 

  337. 						</dl>
    338. 

  338. 					</div>
    339. 

  339. 					<h3 class="name name-method" id="multiplyQuaternions" translate="no">.<a href="#multiplyQuaternions">multiplyQuaternions</a><span class="signature">( a : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span>, b : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    340. 

  340. 					<div class="method">
    341. 

  341. 						<div class="description">
    342. 

  342. 							<p>Multiplies the given quaternions and stores the result in this instance.</p>
    343. 

  343. 						</div>
    344. 

  344. 						<table class="params">
    345. 

  345. 							<tbody>
    346. 

  346. 								<tr>
    347. 

  347. 									<td class="name">
    348. 

  348. 										<strong>a</strong>
    349. 

  349. 									</td>
    350. 

  350. 									<td class="description last">
    351. 

  351. 										<p>The first quaternion.</p>
    352. 

  352. 									</td>
    353. 

  353. 								</tr>
    354. 

  354. 								<tr>
    355. 

  355. 									<td class="name">
    356. 

  356. 										<strong>b</strong>
    357. 

  357. 									</td>
    358. 

  358. 									<td class="description last">
    359. 

  359. 										<p>The second quaternion.</p>
    360. 

  360. 									</td>
    361. 

  361. 								</tr>
    362. 

  362. 							</tbody>
    363. 

  363. 						</table>
    364. 

  364. 						<dl class="details">
    365. 

  365. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    366. 

  366. 						</dl>
    367. 

  367. 					</div>
    368. 

  368. 					<h3 class="name name-method" id="normalize" translate="no">.<a href="#normalize">normalize</a><span class="signature">()</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    369. 

  369. 					<div class="method">
    370. 

  370. 						<div class="description">
    371. 

  371. 							<p>Normalizes this quaternion - that is, calculated the quaternion that performs
    372. 

  372. the same rotation as this one, but has a length equal to <code>1</code>.</p>
    373. 

  373. 						</div>
    374. 

  374. 						<dl class="details">
    375. 

  375. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    376. 

  376. 						</dl>
    377. 

  377. 					</div>
    378. 

  378. 					<h3 class="name name-method" id="premultiply" translate="no">.<a href="#premultiply">premultiply</a><span class="signature">( q : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    379. 

  379. 					<div class="method">
    380. 

  380. 						<div class="description">
    381. 

  381. 							<p>Pre-multiplies this quaternion by the given one.</p>
    382. 

  382. 						</div>
    383. 

  383. 						<table class="params">
    384. 

  384. 							<tbody>
    385. 

  385. 								<tr>
    386. 

  386. 									<td class="name">
    387. 

  387. 										<strong>q</strong>
    388. 

  388. 									</td>
    389. 

  389. 									<td class="description last">
    390. 

  390. 										<p>The quaternion.</p>
    391. 

  391. 									</td>
    392. 

  392. 								</tr>
    393. 

  393. 							</tbody>
    394. 

  394. 						</table>
    395. 

  395. 						<dl class="details">
    396. 

  396. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    397. 

  397. 						</dl>
    398. 

  398. 					</div>
    399. 

  399. 					<h3 class="name name-method" id="random" translate="no">.<a href="#random">random</a><span class="signature">()</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    400. 

  400. 					<div class="method">
    401. 

  401. 						<div class="description">
    402. 

  402. 							<p>Sets this quaternion to a uniformly random, normalized quaternion.</p>
    403. 

  403. 						</div>
    404. 

  404. 						<dl class="details">
    405. 

  405. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    406. 

  406. 						</dl>
    407. 

  407. 					</div>
    408. 

  408. 					<h3 class="name name-method" id="rotateTowards" translate="no">.<a href="#rotateTowards">rotateTowards</a><span class="signature">( q : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span>, step : <span class="param-type">number</span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    409. 

  409. 					<div class="method">
    410. 

  410. 						<div class="description">
    411. 

  411. 							<p>Rotates this quaternion by a given angular step to the given quaternion.
    412. 

  412. The method ensures that the final quaternion will not overshoot <code>q</code>.</p>
    413. 

  413. 						</div>
    414. 

  414. 						<table class="params">
    415. 

  415. 							<tbody>
    416. 

  416. 								<tr>
    417. 

  417. 									<td class="name">
    418. 

  418. 										<strong>q</strong>
    419. 

  419. 									</td>
    420. 

  420. 									<td class="description last">
    421. 

  421. 										<p>The target quaternion.</p>
    422. 

  422. 									</td>
    423. 

  423. 								</tr>
    424. 

  424. 								<tr>
    425. 

  425. 									<td class="name">
    426. 

  426. 										<strong>step</strong>
    427. 

  427. 									</td>
    428. 

  428. 									<td class="description last">
    429. 

  429. 										<p>The angular step in radians.</p>
    430. 

  430. 									</td>
    431. 

  431. 								</tr>
    432. 

  432. 							</tbody>
    433. 

  433. 						</table>
    434. 

  434. 						<dl class="details">
    435. 

  435. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    436. 

  436. 						</dl>
    437. 

  437. 					</div>
    438. 

  438. 					<h3 class="name name-method" id="set" translate="no">.<a href="#set">set</a><span class="signature">( x : <span class="param-type">number</span>, y : <span class="param-type">number</span>, z : <span class="param-type">number</span>, w : <span class="param-type">number</span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    439. 

  439. 					<div class="method">
    440. 

  440. 						<div class="description">
    441. 

  441. 							<p>Sets the quaternion components.</p>
    442. 

  442. 						</div>
    443. 

  443. 						<table class="params">
    444. 

  444. 							<tbody>
    445. 

  445. 								<tr>
    446. 

  446. 									<td class="name">
    447. 

  447. 										<strong>x</strong>
    448. 

  448. 									</td>
    449. 

  449. 									<td class="description last">
    450. 

  450. 										<p>The x value of this quaternion.</p>
    451. 

  451. 									</td>
    452. 

  452. 								</tr>
    453. 

  453. 								<tr>
    454. 

  454. 									<td class="name">
    455. 

  455. 										<strong>y</strong>
    456. 

  456. 									</td>
    457. 

  457. 									<td class="description last">
    458. 

  458. 										<p>The y value of this quaternion.</p>
    459. 

  459. 									</td>
    460. 

  460. 								</tr>
    461. 

  461. 								<tr>
    462. 

  462. 									<td class="name">
    463. 

  463. 										<strong>z</strong>
    464. 

  464. 									</td>
    465. 

  465. 									<td class="description last">
    466. 

  466. 										<p>The z value of this quaternion.</p>
    467. 

  467. 									</td>
    468. 

  468. 								</tr>
    469. 

  469. 								<tr>
    470. 

  470. 									<td class="name">
    471. 

  471. 										<strong>w</strong>
    472. 

  472. 									</td>
    473. 

  473. 									<td class="description last">
    474. 

  474. 										<p>The w value of this quaternion.</p>
    475. 

  475. 									</td>
    476. 

  476. 								</tr>
    477. 

  477. 							</tbody>
    478. 

  478. 						</table>
    479. 

  479. 						<dl class="details">
    480. 

  480. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    481. 

  481. 						</dl>
    482. 

  482. 					</div>
    483. 

  483. 					<h3 class="name name-method" id="setFromAxisAngle" translate="no">.<a href="#setFromAxisAngle">setFromAxisAngle</a><span class="signature">( axis : <span class="param-type"><a href="Vector3.html">Vector3</a></span>, angle : <span class="param-type">number</span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    484. 

  484. 					<div class="method">
    485. 

  485. 						<div class="description">
    486. 

  486. 							<p>Sets this quaternion from the given axis and angle.</p>
    487. 

  487. 						</div>
    488. 

  488. 						<table class="params">
    489. 

  489. 							<tbody>
    490. 

  490. 								<tr>
    491. 

  491. 									<td class="name">
    492. 

  492. 										<strong>axis</strong>
    493. 

  493. 									</td>
    494. 

  494. 									<td class="description last">
    495. 

  495. 										<p>The normalized axis.</p>
    496. 

  496. 									</td>
    497. 

  497. 								</tr>
    498. 

  498. 								<tr>
    499. 

  499. 									<td class="name">
    500. 

  500. 										<strong>angle</strong>
    501. 

  501. 									</td>
    502. 

  502. 									<td class="description last">
    503. 

  503. 										<p>The angle in radians.</p>
    504. 

  504. 									</td>
    505. 

  505. 								</tr>
    506. 

  506. 							</tbody>
    507. 

  507. 						</table>
    508. 

  508. 						<dl class="details">
    509. 

  509. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    510. 

  510. 						</dl>
    511. 

  511. 					</div>
    512. 

  512. 					<h3 class="name name-method" id="setFromEuler" translate="no">.<a href="#setFromEuler">setFromEuler</a><span class="signature">( euler : <span class="param-type"><a href="Euler.html">Euler</a></span>, update : <span class="param-type">boolean</span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    513. 

  513. 					<div class="method">
    514. 

  514. 						<div class="description">
    515. 

  515. 							<p>Sets this quaternion from the rotation specified by the given
    516. 

  516. Euler angles.</p>
    517. 

  517. 						</div>
    518. 

  518. 						<table class="params">
    519. 

  519. 							<tbody>
    520. 

  520. 								<tr>
    521. 

  521. 									<td class="name">
    522. 

  522. 										<strong>euler</strong>
    523. 

  523. 									</td>
    524. 

  524. 									<td class="description last">
    525. 

  525. 										<p>The Euler angles.</p>
    526. 

  526. 									</td>
    527. 

  527. 								</tr>
    528. 

  528. 								<tr>
    529. 

  529. 									<td class="name">
    530. 

  530. 										<strong>update</strong>
    531. 

  531. 									</td>
    532. 

  532. 									<td class="description last">
    533. 

  533. 										<p>Whether the internal <code>onChange</code> callback should be executed or not.</p>
    534. 

  534. 										<p>Default is <code>true</code>.</p>
    535. 

  535. 									</td>
    536. 

  536. 								</tr>
    537. 

  537. 							</tbody>
    538. 

  538. 						</table>
    539. 

  539. 						<dl class="details">
    540. 

  540. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    541. 

  541. 						</dl>
    542. 

  542. 					</div>
    543. 

  543. 					<h3 class="name name-method" id="setFromRotationMatrix" translate="no">.<a href="#setFromRotationMatrix">setFromRotationMatrix</a><span class="signature">( m : <span class="param-type"><a href="Matrix4.html">Matrix4</a></span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    544. 

  544. 					<div class="method">
    545. 

  545. 						<div class="description">
    546. 

  546. 							<p>Sets this quaternion from the given rotation matrix.</p>
    547. 

  547. 						</div>
    548. 

  548. 						<table class="params">
    549. 

  549. 							<tbody>
    550. 

  550. 								<tr>
    551. 

  551. 									<td class="name">
    552. 

  552. 										<strong>m</strong>
    553. 

  553. 									</td>
    554. 

  554. 									<td class="description last">
    555. 

  555. 										<p>A 4x4 matrix of which the upper 3x3 of matrix is a pure rotation matrix (i.e. unscaled).</p>
    556. 

  556. 									</td>
    557. 

  557. 								</tr>
    558. 

  558. 							</tbody>
    559. 

  559. 						</table>
    560. 

  560. 						<dl class="details">
    561. 

  561. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    562. 

  562. 						</dl>
    563. 

  563. 					</div>
    564. 

  564. 					<h3 class="name name-method" id="setFromUnitVectors" translate="no">.<a href="#setFromUnitVectors">setFromUnitVectors</a><span class="signature">( vFrom : <span class="param-type"><a href="Vector3.html">Vector3</a></span>, vTo : <span class="param-type"><a href="Vector3.html">Vector3</a></span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    565. 

  565. 					<div class="method">
    566. 

  566. 						<div class="description">
    567. 

  567. 							<p>Sets this quaternion to the rotation required to rotate the direction vector
    568. 

  568. <code>vFrom</code> to the direction vector <code>vTo</code>.</p>
    569. 

  569. 						</div>
    570. 

  570. 						<table class="params">
    571. 

  571. 							<tbody>
    572. 

  572. 								<tr>
    573. 

  573. 									<td class="name">
    574. 

  574. 										<strong>vFrom</strong>
    575. 

  575. 									</td>
    576. 

  576. 									<td class="description last">
    577. 

  577. 										<p>The first (normalized) direction vector.</p>
    578. 

  578. 									</td>
    579. 

  579. 								</tr>
    580. 

  580. 								<tr>
    581. 

  581. 									<td class="name">
    582. 

  582. 										<strong>vTo</strong>
    583. 

  583. 									</td>
    584. 

  584. 									<td class="description last">
    585. 

  585. 										<p>The second (normalized) direction vector.</p>
    586. 

  586. 									</td>
    587. 

  587. 								</tr>
    588. 

  588. 							</tbody>
    589. 

  589. 						</table>
    590. 

  590. 						<dl class="details">
    591. 

  591. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    592. 

  592. 						</dl>
    593. 

  593. 					</div>
    594. 

  594. 					<h3 class="name name-method" id="slerp" translate="no">.<a href="#slerp">slerp</a><span class="signature">( qb : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span>, t : <span class="param-type">number</span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    595. 

  595. 					<div class="method">
    596. 

  596. 						<div class="description">
    597. 

  597. 							<p>Performs a spherical linear interpolation between quaternions.</p>
    598. 

  598. 						</div>
    599. 

  599. 						<table class="params">
    600. 

  600. 							<tbody>
    601. 

  601. 								<tr>
    602. 

  602. 									<td class="name">
    603. 

  603. 										<strong>qb</strong>
    604. 

  604. 									</td>
    605. 

  605. 									<td class="description last">
    606. 

  606. 										<p>The target quaternion.</p>
    607. 

  607. 									</td>
    608. 

  608. 								</tr>
    609. 

  609. 								<tr>
    610. 

  610. 									<td class="name">
    611. 

  611. 										<strong>t</strong>
    612. 

  612. 									</td>
    613. 

  613. 									<td class="description last">
    614. 

  614. 										<p>The interpolation factor in the closed interval <code>[0, 1]</code>.</p>
    615. 

  615. 									</td>
    616. 

  616. 								</tr>
    617. 

  617. 							</tbody>
    618. 

  618. 						</table>
    619. 

  619. 						<dl class="details">
    620. 

  620. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    621. 

  621. 						</dl>
    622. 

  622. 					</div>
    623. 

  623. 					<h3 class="name name-method" id="slerpQuaternions" translate="no">.<a href="#slerpQuaternions">slerpQuaternions</a><span class="signature">( qa : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span>, qb : <span class="param-type"><a href="Quaternion.html">Quaternion</a></span>, t : <span class="param-type">number</span> )</span><span class="type-signature"> : <a href="Quaternion.html">Quaternion</a></span> </h3>
    624. 

  624. 					<div class="method">
    625. 

  625. 						<div class="description">
    626. 

  626. 							<p>Performs a spherical linear interpolation between the given quaternions
    627. 

  627. and stores the result in this quaternion.</p>
    628. 

  628. 						</div>
    629. 

  629. 						<table class="params">
    630. 

  630. 							<tbody>
    631. 

  631. 								<tr>
    632. 

  632. 									<td class="name">
    633. 

  633. 										<strong>qa</strong>
    634. 

  634. 									</td>
    635. 

  635. 									<td class="description last">
    636. 

  636. 										<p>The source quaternion.</p>
    637. 

  637. 									</td>
    638. 

  638. 								</tr>
    639. 

  639. 								<tr>
    640. 

  640. 									<td class="name">
    641. 

  641. 										<strong>qb</strong>
    642. 

  642. 									</td>
    643. 

  643. 									<td class="description last">
    644. 

  644. 										<p>The target quaternion.</p>
    645. 

  645. 									</td>
    646. 

  646. 								</tr>
    647. 

  647. 								<tr>
    648. 

  648. 									<td class="name">
    649. 

  649. 										<strong>t</strong>
    650. 

  650. 									</td>
    651. 

  651. 									<td class="description last">
    652. 

  652. 										<p>The interpolation factor in the closed interval <code>[0, 1]</code>.</p>
    653. 

  653. 									</td>
    654. 

  654. 								</tr>
    655. 

  655. 							</tbody>
    656. 

  656. 						</table>
    657. 

  657. 						<dl class="details">
    658. 

  658. 							<dt class="tag-returns"><strong>Returns:</strong> A reference to this quaternion.</dt>
    659. 

  659. 						</dl>
    660. 

  660. 					</div>
    661. 

  661. 					<h3 class="name name-method" id="toArray" translate="no">.<a href="#toArray">toArray</a><span class="signature">( array : <span class="param-type">Array.&lt;number></span>, offset : <span class="param-type">number</span> )</span><span class="type-signature"> : Array.&lt;number></span> </h3>
    662. 

  662. 					<div class="method">
    663. 

  663. 						<div class="description">
    664. 

  664. 							<p>Writes the components of this quaternion to the given array. If no array is provided,
    665. 

  665. the method returns a new instance.</p>
    666. 

  666. 						</div>
    667. 

  667. 						<table class="params">
    668. 

  668. 							<tbody>
    669. 

  669. 								<tr>
    670. 

  670. 									<td class="name">
    671. 

  671. 										<strong>array</strong>
    672. 

  672. 									</td>
    673. 

  673. 									<td class="description last">
    674. 

  674. 										<p>The target array holding the quaternion components.</p>
    675. 

  675. 										<p>Default is <code>[]</code>.</p>
    676. 

  676. 									</td>
    677. 

  677. 								</tr>
    678. 

  678. 								<tr>
    679. 

  679. 									<td class="name">
    680. 

  680. 										<strong>offset</strong>
    681. 

  681. 									</td>
    682. 

  682. 									<td class="description last">
    683. 

  683. 										<p>Index of the first element in the array.</p>
    684. 

  684. 										<p>Default is <code>0</code>.</p>
    685. 

  685. 									</td>
    686. 

  686. 								</tr>
    687. 

  687. 							</tbody>
    688. 

  688. 						</table>
    689. 

  689. 						<dl class="details">
    690. 

  690. 							<dt class="tag-returns"><strong>Returns:</strong> The quaternion components.</dt>
    691. 

  691. 						</dl>
    692. 

  692. 					</div>
    693. 

  693. 					<h3 class="name name-method" id="toJSON" translate="no">.<a href="#toJSON">toJSON</a><span class="signature">()</span><span class="type-signature"> : Array.&lt;number></span> </h3>
    694. 

  694. 					<div class="method">
    695. 

  695. 						<div class="description">
    696. 

  696. 							<p>This methods defines the serialization result of this class. Returns the
    697. 

  697. numerical elements of this quaternion in an array of format <code>[x, y, z, w]</code>.</p>
    698. 

  698. 						</div>
    699. 

  699. 						<dl class="details">
    700. 

  700. 							<dt class="tag-returns"><strong>Returns:</strong> The serialized quaternion.</dt>
    701. 

  701. 						</dl>
    702. 

  702. 					</div>
    703. 

  703. 				<h2 class="subsection-title">Static Methods</h2>
    704. 

  704. 					<h3 class="name name-method" id=".multiplyQuaternionsFlat" translate="no">.<a href="#.multiplyQuaternionsFlat">multiplyQuaternionsFlat</a><span class="signature">( dst : <span class="param-type">Array.&lt;number></span>, dstOffset : <span class="param-type">number</span>, src0 : <span class="param-type">Array.&lt;number></span>, srcOffset0 : <span class="param-type">number</span>, src1 : <span class="param-type">Array.&lt;number></span>, srcOffset1 : <span class="param-type">number</span> )</span><span class="type-signature"> : Array.&lt;number></span> </h3>
    705. 

  705. 					<div class="method">
    706. 

  706. 						<div class="description">
    707. 

  707. 							<p>Multiplies two quaternions. This implementation assumes the quaternion data are managed
    708. 

  708. in flat arrays.</p>
    709. 

  709. 						</div>
    710. 

  710. 						<table class="params">
    711. 

  711. 							<tbody>
    712. 

  712. 								<tr>
    713. 

  713. 									<td class="name">
    714. 

  714. 										<strong>dst</strong>
    715. 

  715. 									</td>
    716. 

  716. 									<td class="description last">
    717. 

  717. 										<p>The destination array.</p>
    718. 

  718. 									</td>
    719. 

  719. 								</tr>
    720. 

  720. 								<tr>
    721. 

  721. 									<td class="name">
    722. 

  722. 										<strong>dstOffset</strong>
    723. 

  723. 									</td>
    724. 

  724. 									<td class="description last">
    725. 

  725. 										<p>An offset into the destination array.</p>
    726. 

  726. 									</td>
    727. 

  727. 								</tr>
    728. 

  728. 								<tr>
    729. 

  729. 									<td class="name">
    730. 

  730. 										<strong>src0</strong>
    731. 

  731. 									</td>
    732. 

  732. 									<td class="description last">
    733. 

  733. 										<p>The source array of the first quaternion.</p>
    734. 

  734. 									</td>
    735. 

  735. 								</tr>
    736. 

  736. 								<tr>
    737. 

  737. 									<td class="name">
    738. 

  738. 										<strong>srcOffset0</strong>
    739. 

  739. 									</td>
    740. 

  740. 									<td class="description last">
    741. 

  741. 										<p>An offset into the first source array.</p>
    742. 

  742. 									</td>
    743. 

  743. 								</tr>
    744. 

  744. 								<tr>
    745. 

  745. 									<td class="name">
    746. 

  746. 										<strong>src1</strong>
    747. 

  747. 									</td>
    748. 

  748. 									<td class="description last">
    749. 

  749. 										<p>The source array of the second quaternion.</p>
    750. 

  750. 									</td>
    751. 

  751. 								</tr>
    752. 

  752. 								<tr>
    753. 

  753. 									<td class="name">
    754. 

  754. 										<strong>srcOffset1</strong>
    755. 

  755. 									</td>
    756. 

  756. 									<td class="description last">
    757. 

  757. 										<p>An offset into the second source array.</p>
    758. 

  758. 									</td>
    759. 

  759. 								</tr>
    760. 

  760. 							</tbody>
    761. 

  761. 						</table>
    762. 

  762. 						<dl class="details">
    763. 

  763. 							<dt class="tag-see">See:</dt>
    764. 

  764. 							<dd class="tag-see">
    765. 

  765. 								<ul>
    766. 

  766. 									<li><a href="Quaternion.html#multiplyQuaternions">Quaternion#multiplyQuaternions</a>.</li>
    767. 

  767. 								</ul>
    768. 

  768. 							</dd>
    769. 

  769. 						</dl>
    770. 

  770. 						<dl class="details">
    771. 

  771. 							<dt class="tag-returns"><strong>Returns:</strong> The destination array.</dt>
    772. 

  772. 						</dl>
    773. 

  773. 					</div>
    774. 

  774. 					<h3 class="name name-method" id=".slerpFlat" translate="no">.<a href="#.slerpFlat">slerpFlat</a><span class="signature">( dst : <span class="param-type">Array.&lt;number></span>, dstOffset : <span class="param-type">number</span>, src0 : <span class="param-type">Array.&lt;number></span>, srcOffset0 : <span class="param-type">number</span>, src1 : <span class="param-type">Array.&lt;number></span>, srcOffset1 : <span class="param-type">number</span>, t : <span class="param-type">number</span> )</span> </h3>
    775. 

  775. 					<div class="method">
    776. 

  776. 						<div class="description">
    777. 

  777. 							<p>Interpolates between two quaternions via SLERP. This implementation assumes the
    778. 

  778. quaternion data are managed in flat arrays.</p>
    779. 

  779. 						</div>
    780. 

  780. 						<table class="params">
    781. 

  781. 							<tbody>
    782. 

  782. 								<tr>
    783. 

  783. 									<td class="name">
    784. 

  784. 										<strong>dst</strong>
    785. 

  785. 									</td>
    786. 

  786. 									<td class="description last">
    787. 

  787. 										<p>The destination array.</p>
    788. 

  788. 									</td>
    789. 

  789. 								</tr>
    790. 

  790. 								<tr>
    791. 

  791. 									<td class="name">
    792. 

  792. 										<strong>dstOffset</strong>
    793. 

  793. 									</td>
    794. 

  794. 									<td class="description last">
    795. 

  795. 										<p>An offset into the destination array.</p>
    796. 

  796. 									</td>
    797. 

  797. 								</tr>
    798. 

  798. 								<tr>
    799. 

  799. 									<td class="name">
    800. 

  800. 										<strong>src0</strong>
    801. 

  801. 									</td>
    802. 

  802. 									<td class="description last">
    803. 

  803. 										<p>The source array of the first quaternion.</p>
    804. 

  804. 									</td>
    805. 

  805. 								</tr>
    806. 

  806. 								<tr>
    807. 

  807. 									<td class="name">
    808. 

  808. 										<strong>srcOffset0</strong>
    809. 

  809. 									</td>
    810. 

  810. 									<td class="description last">
    811. 

  811. 										<p>An offset into the first source array.</p>
    812. 

  812. 									</td>
    813. 

  813. 								</tr>
    814. 

  814. 								<tr>
    815. 

  815. 									<td class="name">
    816. 

  816. 										<strong>src1</strong>
    817. 

  817. 									</td>
    818. 

  818. 									<td class="description last">
    819. 

  819. 										<p>The source array of the second quaternion.</p>
    820. 

  820. 									</td>
    821. 

  821. 								</tr>
    822. 

  822. 								<tr>
    823. 

  823. 									<td class="name">
    824. 

  824. 										<strong>srcOffset1</strong>
    825. 

  825. 									</td>
    826. 

  826. 									<td class="description last">
    827. 

  827. 										<p>An offset into the second source array.</p>
    828. 

  828. 									</td>
    829. 

  829. 								</tr>
    830. 

  830. 								<tr>
    831. 

  831. 									<td class="name">
    832. 

  832. 										<strong>t</strong>
    833. 

  833. 									</td>
    834. 

  834. 									<td class="description last">
    835. 

  835. 										<p>The interpolation factor in the range <code>[0,1]</code>.</p>
    836. 

  836. 									</td>
    837. 

  837. 								</tr>
    838. 

  838. 							</tbody>
    839. 

  839. 						</table>
    840. 

  840. 						<dl class="details">
    841. 

  841. 							<dt class="tag-see">See:</dt>
    842. 

  842. 							<dd class="tag-see">
    843. 

  843. 								<ul>
    844. 

  844. 									<li><a href="Quaternion.html#slerp">Quaternion#slerp</a></li>
    845. 

  845. 								</ul>
    846. 

  846. 							</dd>
    847. 

  847. 						</dl>
    848. 

  848. 					</div>
    849. 

  849. 				<h2 class="subsection-title">Source</h2>
    850. 

  850. 				<p>
    851. 

  851. 					<a href="https://github.com/mrdoob/three.js/blob/master/src/math/Quaternion.js" translate="no" target="_blank" rel="noopener">src/math/Quaternion.js</a>
    852. 

  852. 				</p>
    853. 

  853. 			</article>
    854. 

  854. 		</section>
    855. 

  855. <script src="../scripts/linenumber.js"></script>
    856. 

  856. <script src="../scripts/page.js"></script>
    857. 

  857. </body>
    858. 

  858. </html>
    859.
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