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  27. For a symmetric, positive definite matrix A, the Cholesky decomposition

  28. is an lower triangular matrix L so that A = L*L'</a></li>

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  34. For an m-by-n matrix A with m &gt;= n, the LU decomposition is an m-by-n

  35. unit lower triangular matrix L, an n-by-n upper triangular matrix U,

  36. and a permutation vector piv of length m so that A(piv,:) = L*U</a></li>

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  38. For an m-by-n matrix A with m &gt;= n, the QR decomposition is an m-by-n

  39. orthogonal matrix Q and an n-by-n upper triangular matrix R so that

  40. A = Q*R</a></li>

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  42. For an m-by-n matrix A with m &gt;= n, the singular value decomposition is

  43. an m-by-n orthogonal matrix U, an n-by-n diagonal matrix S, and

  44. an n-by-n orthogonal matrix V so that A = U*S*V'</a></li>

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  46. Pythagorean Theorem:

  47. a = 3

  48. b = 4

  49. r = sqrt(square(a) + square(b))

  50. r = 5

  51. r = sqrt(a^2 + b^2) without under/overflow</a></li>

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  91. <ul class="side-nav nav nav-list">

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  93. <i class="icon-custom icon-method"></i> Methods

  94.                     <ul>

  95. <li class="method public "><a href="#method___construct" title="__construct :: Create a new PHPExcel_Calculation_Function"><span class="description">Create a new PHPExcel_Calculation_Function</span><pre>__construct()</pre></a></li>

  96. <li class="method public "><a href="#method_getCategory" title="getCategory :: Get Category (represented by CATEGORY_*)"><span class="description">Get Category (represented by CATEGORY_*)</span><pre>getCategory()</pre></a></li>

  97. <li class="method public "><a href="#method_getExcelName" title="getExcelName :: Get Excel name"><span class="description">Get Excel name</span><pre>getExcelName()</pre></a></li>

  98. <li class="method public "><a href="#method_getPHPExcelName" title="getPHPExcelName :: Get PHPExcel name"><span class="description">Get PHPExcel name</span><pre>getPHPExcelName()</pre></a></li>

  99. <li class="method public "><a href="#method_setCategory" title="setCategory :: Set Category (represented by CATEGORY_*)"><span class="description">Set Category (represented by CATEGORY_*)</span><pre>setCategory()</pre></a></li>

  100. <li class="method public "><a href="#method_setExcelName" title="setExcelName :: Set Excel name"><span class="description">Set Excel name</span><pre>setExcelName()</pre></a></li>

  101. <li class="method public "><a href="#method_setPHPExcelName" title="setPHPExcelName :: Set PHPExcel name"><span class="description">Set PHPExcel name</span><pre>setPHPExcelName()</pre></a></li>

  102. </ul>

  103. </li>

  104. <li class="nav-header">

  105. <i class="icon-custom icon-property"></i> Properties

  106.                     <ul></ul>

  107. </li>

  108. <li class="nav-header private">» Private

  109.                     <ul>

  110. <li class="property private "><a href="#property__category" title="$_category :: Category (represented by CATEGORY_*)"><span class="description"></span><pre>$_category</pre></a></li>

  111. <li class="property private "><a href="#property__excelName" title="$_excelName :: Excel name"><span class="description"></span><pre>$_excelName</pre></a></li>

  112. <li class="property private "><a href="#property__phpExcelName" title="$_phpExcelName :: PHPExcel name"><span class="description"></span><pre>$_phpExcelName</pre></a></li>

  113. </ul>

  114. </li>

  115. <li class="nav-header">

  116. <i class="icon-custom icon-constant"></i> Constants

  117.                     <ul>

  118. <li class="constant  "><a href="#constant_CATEGORY_CUBE" title="CATEGORY_CUBE :: "><span class="description">CATEGORY_CUBE</span><pre>CATEGORY_CUBE</pre></a></li>

  119. <li class="constant  "><a href="#constant_CATEGORY_DATABASE" title="CATEGORY_DATABASE :: "><span class="description">CATEGORY_DATABASE</span><pre>CATEGORY_DATABASE</pre></a></li>

  120. <li class="constant  "><a href="#constant_CATEGORY_DATE_AND_TIME" title="CATEGORY_DATE_AND_TIME :: "><span class="description">CATEGORY_DATE_AND_TIME</span><pre>CATEGORY_DATE_AND_TIME</pre></a></li>

  121. <li class="constant  "><a href="#constant_CATEGORY_ENGINEERING" title="CATEGORY_ENGINEERING :: "><span class="description">CATEGORY_ENGINEERING</span><pre>CATEGORY_ENGINEERING</pre></a></li>

  122. <li class="constant  "><a href="#constant_CATEGORY_FINANCIAL" title="CATEGORY_FINANCIAL :: "><span class="description">CATEGORY_FINANCIAL</span><pre>CATEGORY_FINANCIAL</pre></a></li>

  123. <li class="constant  "><a href="#constant_CATEGORY_INFORMATION" title="CATEGORY_INFORMATION :: "><span class="description">CATEGORY_INFORMATION</span><pre>CATEGORY_INFORMATION</pre></a></li>

  124. <li class="constant  "><a href="#constant_CATEGORY_LOGICAL" title="CATEGORY_LOGICAL :: "><span class="description">CATEGORY_LOGICAL</span><pre>CATEGORY_LOGICAL</pre></a></li>

  125. <li class="constant  "><a href="#constant_CATEGORY_LOOKUP_AND_REFERENCE" title="CATEGORY_LOOKUP_AND_REFERENCE :: "><span class="description">CATEGORY_LOOKUP_AND_REFERENCE</span><pre>CATEGORY_LOOKUP_AND_REFERENCE</pre></a></li>

  126. <li class="constant  "><a href="#constant_CATEGORY_MATH_AND_TRIG" title="CATEGORY_MATH_AND_TRIG :: "><span class="description">CATEGORY_MATH_AND_TRIG</span><pre>CATEGORY_MATH_AND_TRIG</pre></a></li>

  127. <li class="constant  "><a href="#constant_CATEGORY_STATISTICAL" title="CATEGORY_STATISTICAL :: "><span class="description">CATEGORY_STATISTICAL</span><pre>CATEGORY_STATISTICAL</pre></a></li>

  128. <li class="constant  "><a href="#constant_CATEGORY_TEXT_AND_DATA" title="CATEGORY_TEXT_AND_DATA :: "><span class="description">CATEGORY_TEXT_AND_DATA</span><pre>CATEGORY_TEXT_AND_DATA</pre></a></li>

  129. </ul>

  130. </li>

  131. </ul>

  132. </div>

  133. <div class="span8">

  134. <a id="\PHPExcel_Calculation_Function"></a><ul class="breadcrumb">

  135. <li>

  136. <a href="../index.html"><i class="icon-custom icon-class"></i></a><span class="divider">\</span>

  137. </li>

  138. <li><a href="../namespaces/global.html">global</a></li>

  139. <li class="active">

  140. <span class="divider">\</span><a href="../classes/PHPExcel_Calculation_Function.html">PHPExcel_Calculation_Function</a>

  141. </li>

  142. </ul>

  143. <div class="element class">

  144. <p class="short_description">PHPExcel_Calculation_Function</p>

  145. <div class="details">

  146. <div class="long_description"></div>

  147. <table class="table table-bordered">

  148. <tr>

  149. <th>category</th>

  150. <td>PHPExcel</td>

  151. </tr>

  152. <tr>

  153. <th>package</th>

  154. <td><a href="../packages/PHPExcel.Calculation.html">PHPExcel_Calculation</a></td>

  155. </tr>

  156. <tr>

  157. <th>copyright</th>

  158. <td>Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel)</td>

  159. </tr>

  160. </table>

  161. <h3>

  162. <i class="icon-custom icon-method"></i> Methods</h3>

  163. <a id="method___construct"></a><div class="element clickable method public method___construct" data-toggle="collapse" data-target=".method___construct .collapse">

  164. <h2>Create a new PHPExcel_Calculation_Function</h2>

  165. <pre>__construct(string $pCategory, string $pExcelName, string $pPHPExcelName) </pre>

  166. <div class="labels"></div>

  167. <div class="row collapse"><div class="detail-description">

  168. <div class="long_description"></div>

  169. <h3>Parameters</h3>

  170. <div class="subelement argument">

  171. <h4>$pCategory</h4>

  172. <code>string</code><p>Category (represented by CATEGORY_*)</p>

  173. </div>

  174. <div class="subelement argument">

  175. <h4>$pExcelName</h4>

  176. <code>string</code><p>Excel function name</p></div>

  177. <div class="subelement argument">

  178. <h4>$pPHPExcelName</h4>

  179. <code>string</code><p>PHPExcel function mapping</p></div>

  180. <h3>Exceptions</h3>

  181. <table class="table table-bordered"><tr>

  182. <th><code><a href="../classes/PHPExcel_Calculation_Exception.html">\PHPExcel_Calculation_Exception</a></code></th>

  183. <td></td>

  184. </tr></table>

  185. </div></div>

  186. </div>

  187. <a id="method_getCategory"></a><div class="element clickable method public method_getCategory" data-toggle="collapse" data-target=".method_getCategory .collapse">

  188. <h2>Get Category (represented by CATEGORY_*)</h2>

  189. <pre>getCategory() : string</pre>

  190. <div class="labels"></div>

  191. <div class="row collapse"><div class="detail-description">

  192. <div class="long_description"></div>

  193. <h3>Returns</h3>

  194. <div class="subelement response"><code>string</code></div>

  195. </div></div>

  196. </div>

  197. <a id="method_getExcelName"></a><div class="element clickable method public method_getExcelName" data-toggle="collapse" data-target=".method_getExcelName .collapse">

  198. <h2>Get Excel name</h2>

  199. <pre>getExcelName() : string</pre>

  200. <div class="labels"></div>

  201. <div class="row collapse"><div class="detail-description">

  202. <div class="long_description"></div>

  203. <h3>Returns</h3>

  204. <div class="subelement response"><code>string</code></div>

  205. </div></div>

  206. </div>

  207. <a id="method_getPHPExcelName"></a><div class="element clickable method public method_getPHPExcelName" data-toggle="collapse" data-target=".method_getPHPExcelName .collapse">

  208. <h2>Get PHPExcel name</h2>

  209. <pre>getPHPExcelName() : string</pre>

  210. <div class="labels"></div>

  211. <div class="row collapse"><div class="detail-description">

  212. <div class="long_description"></div>

  213. <h3>Returns</h3>

  214. <div class="subelement response"><code>string</code></div>

  215. </div></div>

  216. </div>

  217. <a id="method_setCategory"></a><div class="element clickable method public method_setCategory" data-toggle="collapse" data-target=".method_setCategory .collapse">

  218. <h2>Set Category (represented by CATEGORY_*)</h2>

  219. <pre>setCategory(string $value) </pre>

  220. <div class="labels"></div>

  221. <div class="row collapse"><div class="detail-description">

  222. <div class="long_description"></div>

  223. <h3>Parameters</h3>

  224. <div class="subelement argument">

  225. <h4>$value</h4>

  226. <code>string</code>

  227. </div>

  228. <h3>Exceptions</h3>

  229. <table class="table table-bordered"><tr>

  230. <th><code><a href="../classes/PHPExcel_Calculation_Exception.html">\PHPExcel_Calculation_Exception</a></code></th>

  231. <td></td>

  232. </tr></table>

  233. </div></div>

  234. </div>

  235. <a id="method_setExcelName"></a><div class="element clickable method public method_setExcelName" data-toggle="collapse" data-target=".method_setExcelName .collapse">

  236. <h2>Set Excel name</h2>

  237. <pre>setExcelName(string $value) </pre>

  238. <div class="labels"></div>

  239. <div class="row collapse"><div class="detail-description">

  240. <div class="long_description"></div>

  241. <h3>Parameters</h3>

  242. <div class="subelement argument">

  243. <h4>$value</h4>

  244. <code>string</code>

  245. </div>

  246. </div></div>

  247. </div>

  248. <a id="method_setPHPExcelName"></a><div class="element clickable method public method_setPHPExcelName" data-toggle="collapse" data-target=".method_setPHPExcelName .collapse">

  249. <h2>Set PHPExcel name</h2>

  250. <pre>setPHPExcelName(string $value) </pre>

  251. <div class="labels"></div>

  252. <div class="row collapse"><div class="detail-description">

  253. <div class="long_description"></div>

  254. <h3>Parameters</h3>

  255. <div class="subelement argument">

  256. <h4>$value</h4>

  257. <code>string</code>

  258. </div>

  259. </div></div>

  260. </div>

  261. <h3>

  262. <i class="icon-custom icon-property"></i> Properties</h3>

  263. <a id="property__category"> </a><div class="element clickable property private property__category" data-toggle="collapse" data-target=".property__category .collapse">

  264. <h2></h2>

  265. <pre>$_category : string</pre>

  266. <div class="labels"></div>

  267. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  268. </div>

  269. <a id="property__excelName"> </a><div class="element clickable property private property__excelName" data-toggle="collapse" data-target=".property__excelName .collapse">

  270. <h2></h2>

  271. <pre>$_excelName : string</pre>

  272. <div class="labels"></div>

  273. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  274. </div>

  275. <a id="property__phpExcelName"> </a><div class="element clickable property private property__phpExcelName" data-toggle="collapse" data-target=".property__phpExcelName .collapse">

  276. <h2></h2>

  277. <pre>$_phpExcelName : string</pre>

  278. <div class="labels"></div>

  279. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  280. </div>

  281. <h3>

  282. <i class="icon-custom icon-constant"></i> Constants</h3>

  283. <a id="constant_CATEGORY_CUBE"> </a><div class="element clickable constant  constant_CATEGORY_CUBE" data-toggle="collapse" data-target=".constant_CATEGORY_CUBE .collapse">

  284. <h2>CATEGORY_CUBE</h2>

  285. <pre>CATEGORY_CUBE </pre>

  286. <div class="labels"></div>

  287. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  288. </div>

  289. <a id="constant_CATEGORY_DATABASE"> </a><div class="element clickable constant  constant_CATEGORY_DATABASE" data-toggle="collapse" data-target=".constant_CATEGORY_DATABASE .collapse">

  290. <h2>CATEGORY_DATABASE</h2>

  291. <pre>CATEGORY_DATABASE </pre>

  292. <div class="labels"></div>

  293. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  294. </div>

  295. <a id="constant_CATEGORY_DATE_AND_TIME"> </a><div class="element clickable constant  constant_CATEGORY_DATE_AND_TIME" data-toggle="collapse" data-target=".constant_CATEGORY_DATE_AND_TIME .collapse">

  296. <h2>CATEGORY_DATE_AND_TIME</h2>

  297. <pre>CATEGORY_DATE_AND_TIME </pre>

  298. <div class="labels"></div>

  299. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  300. </div>

  301. <a id="constant_CATEGORY_ENGINEERING"> </a><div class="element clickable constant  constant_CATEGORY_ENGINEERING" data-toggle="collapse" data-target=".constant_CATEGORY_ENGINEERING .collapse">

  302. <h2>CATEGORY_ENGINEERING</h2>

  303. <pre>CATEGORY_ENGINEERING </pre>

  304. <div class="labels"></div>

  305. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  306. </div>

  307. <a id="constant_CATEGORY_FINANCIAL"> </a><div class="element clickable constant  constant_CATEGORY_FINANCIAL" data-toggle="collapse" data-target=".constant_CATEGORY_FINANCIAL .collapse">

  308. <h2>CATEGORY_FINANCIAL</h2>

  309. <pre>CATEGORY_FINANCIAL </pre>

  310. <div class="labels"></div>

  311. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  312. </div>

  313. <a id="constant_CATEGORY_INFORMATION"> </a><div class="element clickable constant  constant_CATEGORY_INFORMATION" data-toggle="collapse" data-target=".constant_CATEGORY_INFORMATION .collapse">

  314. <h2>CATEGORY_INFORMATION</h2>

  315. <pre>CATEGORY_INFORMATION </pre>

  316. <div class="labels"></div>

  317. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  318. </div>

  319. <a id="constant_CATEGORY_LOGICAL"> </a><div class="element clickable constant  constant_CATEGORY_LOGICAL" data-toggle="collapse" data-target=".constant_CATEGORY_LOGICAL .collapse">

  320. <h2>CATEGORY_LOGICAL</h2>

  321. <pre>CATEGORY_LOGICAL </pre>

  322. <div class="labels"></div>

  323. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  324. </div>

  325. <a id="constant_CATEGORY_LOOKUP_AND_REFERENCE"> </a><div class="element clickable constant  constant_CATEGORY_LOOKUP_AND_REFERENCE" data-toggle="collapse" data-target=".constant_CATEGORY_LOOKUP_AND_REFERENCE .collapse">

  326. <h2>CATEGORY_LOOKUP_AND_REFERENCE</h2>

  327. <pre>CATEGORY_LOOKUP_AND_REFERENCE </pre>

  328. <div class="labels"></div>

  329. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  330. </div>

  331. <a id="constant_CATEGORY_MATH_AND_TRIG"> </a><div class="element clickable constant  constant_CATEGORY_MATH_AND_TRIG" data-toggle="collapse" data-target=".constant_CATEGORY_MATH_AND_TRIG .collapse">

  332. <h2>CATEGORY_MATH_AND_TRIG</h2>

  333. <pre>CATEGORY_MATH_AND_TRIG </pre>

  334. <div class="labels"></div>

  335. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  336. </div>

  337. <a id="constant_CATEGORY_STATISTICAL"> </a><div class="element clickable constant  constant_CATEGORY_STATISTICAL" data-toggle="collapse" data-target=".constant_CATEGORY_STATISTICAL .collapse">

  338. <h2>CATEGORY_STATISTICAL</h2>

  339. <pre>CATEGORY_STATISTICAL </pre>

  340. <div class="labels"></div>

  341. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  342. </div>

  343. <a id="constant_CATEGORY_TEXT_AND_DATA"> </a><div class="element clickable constant  constant_CATEGORY_TEXT_AND_DATA" data-toggle="collapse" data-target=".constant_CATEGORY_TEXT_AND_DATA .collapse">

  344. <h2>CATEGORY_TEXT_AND_DATA</h2>

  345. <pre>CATEGORY_TEXT_AND_DATA </pre>

  346. <div class="labels"></div>

  347. <div class="row collapse"><div class="detail-description"><div class="long_description"></div></div></div>

  348. </div>

  349. </div>

  350. </div>

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