chillerlan-QRCode-Common-GF256.html 41 KB

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  104. <article class="phpdocumentor-element -class">
  105. <h2 class="phpdocumentor-content__title">
  106. GF256
  107. <div class="phpdocumentor-element__package">
  108. in package
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  110. <li class="phpdocumentor-breadcrumb"><a href="packages/Application.html">Application</a></li>
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  115. <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
  116. :
  117. <span class="phpdocumentor-element-found-in__line">29</span>
  118. </aside>
  119. <p class="phpdocumentor-summary">This class contains utility methods for performing mathematical operations over
  120. the Galois Fields. Operations use a given primitive polynomial in calculations.</p>
  121. <section class="phpdocumentor-description"><p>Throughout this package, elements of the GF are represented as an int
  122. for convenience and speed (but at the cost of memory).</p>
  123. </section>
  124. <h5 class="phpdocumentor-tag-list__heading" id="tags">
  125. Tags
  126. <a href="#tags" class="headerlink"><i class="fas fa-link"></i></a>
  127. </h5>
  128. <dl class="phpdocumentor-tag-list">
  129. <dt class="phpdocumentor-tag-list__entry">
  130. <span class="phpdocumentor-tag__name">author</span>
  131. </dt>
  132. <dd class="phpdocumentor-tag-list__definition">
  133. <section class="phpdocumentor-description"><p>Sean Owen</p>
  134. </section>
  135. </dd>
  136. <dt class="phpdocumentor-tag-list__entry">
  137. <span class="phpdocumentor-tag__name">author</span>
  138. </dt>
  139. <dd class="phpdocumentor-tag-list__definition">
  140. <section class="phpdocumentor-description"><p>David Olivier</p>
  141. </section>
  142. </dd>
  143. </dl>
  144. <h3 id="toc">
  145. Table of Contents
  146. <a href="#toc" class="headerlink"><i class="fas fa-link"></i></a>
  147. </h3>
  148. <dl class="phpdocumentor-table-of-contents">
  149. <dt class="phpdocumentor-table-of-contents__entry -constant -private">
  150. <a href="classes/chillerlan-QRCode-Common-GF256.html#constant_expTable">expTable</a>
  151. <span>
  152. &nbsp;= [1, 2, 4, 8, 16, 32, 64, 128, 29, 58, 116, 232, 205, 135, 19, 38, 76, 152, 45, 90, 180, 117, 234, 201, 143, 3, 6, 12, 24, 48, 96, 192, 157, 39, 78, 156, 37, 74, 148, 53, 106, 212, 181, 119, 238, 193, 159, 35, 70, 140, 5, 10, 20, 40, 80, 160, 93, 186, 105, 210, 185, 111, 222, 161, 95, 190, 97, 194, 153, 47, 94, 188, 101, 202, 137, 15, 30, 60, 120, 240, 253, 231, 211, 187, 107, 214, 177, 127, 254, 225, 223, 163, 91, 182, 113, 226, 217, 175, 67, 134, 17, 34, 68, 136, 13, 26, 52, 104, 208, 189, 103, 206, 129, 31, 62, 124, 248, 237, 199, 147, 59, 118, 236, 197, 151, 51, 102, 204, 133, 23, 46, 92, 184, 109, 218, 169, 79, 158, 33, 66, 132, 21, 42, 84, 168, 77, 154, 41, 82, 164, 85, 170, 73, 146, 57, 114, 228, 213, 183, 115, 230, 209, 191, 99, 198, 145, 63, 126, 252, 229, 215, 179, 123, 246, 241, 255, 227, 219, 171, 75, 150, 49, 98, 196, 149, 55, 110, 220, 165, 87, 174, 65, 130, 25, 50, 100, 200, 141, 7, 14, 28, 56, 112, 224, 221, 167, 83, 166, 81, 162, 89, 178, 121, 242, 249, 239, 195, 155, 43, 86, 172, 69, 138, 9, 18, 36, 72, 144, 61, 122, 244, 245, 247, 243, 251, 235, 203, 139, 11, 22, 44, 88, 176, 125, 250, 233, 207, 131, 27, 54, 108, 216, 173, 71, 142, 1] </span>
  153. </dt>
  154. <dd></dd>
  155. <dt class="phpdocumentor-table-of-contents__entry -constant -private">
  156. <a href="classes/chillerlan-QRCode-Common-GF256.html#constant_logTable">logTable</a>
  157. <span>
  158. &nbsp;= [
  159. 0,
  160. // the first value is never returned, index starts at 1
  161. 0,
  162. 1,
  163. 25,
  164. 2,
  165. 50,
  166. 26,
  167. 198,
  168. 3,
  169. 223,
  170. 51,
  171. 238,
  172. 27,
  173. 104,
  174. 199,
  175. 75,
  176. 4,
  177. 100,
  178. 224,
  179. 14,
  180. 52,
  181. 141,
  182. 239,
  183. 129,
  184. 28,
  185. 193,
  186. 105,
  187. 248,
  188. 200,
  189. 8,
  190. 76,
  191. 113,
  192. 5,
  193. 138,
  194. 101,
  195. 47,
  196. 225,
  197. 36,
  198. 15,
  199. 33,
  200. 53,
  201. 147,
  202. 142,
  203. 218,
  204. 240,
  205. 18,
  206. 130,
  207. 69,
  208. 29,
  209. 181,
  210. 194,
  211. 125,
  212. 106,
  213. 39,
  214. 249,
  215. 185,
  216. 201,
  217. 154,
  218. 9,
  219. 120,
  220. 77,
  221. 228,
  222. 114,
  223. 166,
  224. 6,
  225. 191,
  226. 139,
  227. 98,
  228. 102,
  229. 221,
  230. 48,
  231. 253,
  232. 226,
  233. 152,
  234. 37,
  235. 179,
  236. 16,
  237. 145,
  238. 34,
  239. 136,
  240. 54,
  241. 208,
  242. 148,
  243. 206,
  244. 143,
  245. 150,
  246. 219,
  247. 189,
  248. 241,
  249. 210,
  250. 19,
  251. 92,
  252. 131,
  253. 56,
  254. 70,
  255. 64,
  256. 30,
  257. 66,
  258. 182,
  259. 163,
  260. 195,
  261. 72,
  262. 126,
  263. 110,
  264. 107,
  265. 58,
  266. 40,
  267. 84,
  268. 250,
  269. 133,
  270. 186,
  271. 61,
  272. 202,
  273. 94,
  274. 155,
  275. 159,
  276. 10,
  277. 21,
  278. 121,
  279. 43,
  280. 78,
  281. 212,
  282. 229,
  283. 172,
  284. 115,
  285. 243,
  286. 167,
  287. 87,
  288. 7,
  289. 112,
  290. 192,
  291. 247,
  292. 140,
  293. 128,
  294. 99,
  295. 13,
  296. 103,
  297. 74,
  298. 222,
  299. 237,
  300. 49,
  301. 197,
  302. 254,
  303. 24,
  304. 227,
  305. 165,
  306. 153,
  307. 119,
  308. 38,
  309. 184,
  310. 180,
  311. 124,
  312. 17,
  313. 68,
  314. 146,
  315. 217,
  316. 35,
  317. 32,
  318. 137,
  319. 46,
  320. 55,
  321. 63,
  322. 209,
  323. 91,
  324. 149,
  325. 188,
  326. 207,
  327. 205,
  328. 144,
  329. 135,
  330. 151,
  331. 178,
  332. 220,
  333. 252,
  334. 190,
  335. 97,
  336. 242,
  337. 86,
  338. 211,
  339. 171,
  340. 20,
  341. 42,
  342. 93,
  343. 158,
  344. 132,
  345. 60,
  346. 57,
  347. 83,
  348. 71,
  349. 109,
  350. 65,
  351. 162,
  352. 31,
  353. 45,
  354. 67,
  355. 216,
  356. 183,
  357. 123,
  358. 164,
  359. 118,
  360. 196,
  361. 23,
  362. 73,
  363. 236,
  364. 127,
  365. 12,
  366. 111,
  367. 246,
  368. 108,
  369. 161,
  370. 59,
  371. 82,
  372. 41,
  373. 157,
  374. 85,
  375. 170,
  376. 251,
  377. 96,
  378. 134,
  379. 177,
  380. 187,
  381. 204,
  382. 62,
  383. 90,
  384. 203,
  385. 89,
  386. 95,
  387. 176,
  388. 156,
  389. 169,
  390. 160,
  391. 81,
  392. 11,
  393. 245,
  394. 22,
  395. 235,
  396. 122,
  397. 117,
  398. 44,
  399. 215,
  400. 79,
  401. 174,
  402. 213,
  403. 233,
  404. 230,
  405. 231,
  406. 173,
  407. 232,
  408. 116,
  409. 214,
  410. 244,
  411. 234,
  412. 168,
  413. 80,
  414. 88,
  415. 175,
  416. ] </span>
  417. </dt>
  418. <dd>irreducible polynomial whose coefficients are represented by the bits of an int,
  419. where the least-significant bit represents the constant coefficient</dd>
  420. <dt class="phpdocumentor-table-of-contents__entry -method -public">
  421. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_addOrSubtract">addOrSubtract()</a>
  422. <span>
  423. &nbsp;: int </span>
  424. </dt>
  425. <dd>Implements both addition and subtraction -- they are the same in GF(size).</dd>
  426. <dt class="phpdocumentor-table-of-contents__entry -method -public">
  427. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_buildMonomial">buildMonomial()</a>
  428. <span>
  429. &nbsp;: <a href="classes/chillerlan-QRCode-Common-GenericGFPoly.html"><abbr title="\chillerlan\QRCode\Common\GenericGFPoly">GenericGFPoly</abbr></a> </span>
  430. </dt>
  431. <dd></dd>
  432. <dt class="phpdocumentor-table-of-contents__entry -method -public">
  433. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_exp">exp()</a>
  434. <span>
  435. &nbsp;: int </span>
  436. </dt>
  437. <dd></dd>
  438. <dt class="phpdocumentor-table-of-contents__entry -method -public">
  439. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_inverse">inverse()</a>
  440. <span>
  441. &nbsp;: int </span>
  442. </dt>
  443. <dd></dd>
  444. <dt class="phpdocumentor-table-of-contents__entry -method -public">
  445. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_log">log()</a>
  446. <span>
  447. &nbsp;: int </span>
  448. </dt>
  449. <dd></dd>
  450. <dt class="phpdocumentor-table-of-contents__entry -method -public">
  451. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_multiply">multiply()</a>
  452. <span>
  453. &nbsp;: int </span>
  454. </dt>
  455. <dd></dd>
  456. </dl>
  457. <section class="phpdocumentor-constants">
  458. <h3 class="phpdocumentor-elements__header" id="constants">
  459. Constants
  460. <a href="classes/chillerlan-QRCode-Common-GF256.html#constants" class="headerlink"><i class="fas fa-link"></i></a>
  461. </h3>
  462. <article class="phpdocumentor-element -constant -private ">
  463. <h4 class="phpdocumentor-element__name" id="constant_expTable">
  464. expTable
  465. <a href="classes/chillerlan-QRCode-Common-GF256.html#constant_expTable" class="headerlink"><i class="fas fa-link"></i></a>
  466. </h4>
  467. <aside class="phpdocumentor-element-found-in">
  468. <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
  469. :
  470. <span class="phpdocumentor-element-found-in__line">57</span>
  471. </aside>
  472. <code class="phpdocumentor-signature phpdocumentor-code ">
  473. <span class="phpdocumentor-signature__visibility">private</span>
  474. <span class="phpdocumentor-signature__type">mixed</span>
  475. <span class="phpdocumentor-signature__name">expTable</span>
  476. = <span class="phpdocumentor-signature__default-value">[1, 2, 4, 8, 16, 32, 64, 128, 29, 58, 116, 232, 205, 135, 19, 38, 76, 152, 45, 90, 180, 117, 234, 201, 143, 3, 6, 12, 24, 48, 96, 192, 157, 39, 78, 156, 37, 74, 148, 53, 106, 212, 181, 119, 238, 193, 159, 35, 70, 140, 5, 10, 20, 40, 80, 160, 93, 186, 105, 210, 185, 111, 222, 161, 95, 190, 97, 194, 153, 47, 94, 188, 101, 202, 137, 15, 30, 60, 120, 240, 253, 231, 211, 187, 107, 214, 177, 127, 254, 225, 223, 163, 91, 182, 113, 226, 217, 175, 67, 134, 17, 34, 68, 136, 13, 26, 52, 104, 208, 189, 103, 206, 129, 31, 62, 124, 248, 237, 199, 147, 59, 118, 236, 197, 151, 51, 102, 204, 133, 23, 46, 92, 184, 109, 218, 169, 79, 158, 33, 66, 132, 21, 42, 84, 168, 77, 154, 41, 82, 164, 85, 170, 73, 146, 57, 114, 228, 213, 183, 115, 230, 209, 191, 99, 198, 145, 63, 126, 252, 229, 215, 179, 123, 246, 241, 255, 227, 219, 171, 75, 150, 49, 98, 196, 149, 55, 110, 220, 165, 87, 174, 65, 130, 25, 50, 100, 200, 141, 7, 14, 28, 56, 112, 224, 221, 167, 83, 166, 81, 162, 89, 178, 121, 242, 249, 239, 195, 155, 43, 86, 172, 69, 138, 9, 18, 36, 72, 144, 61, 122, 244, 245, 247, 243, 251, 235, 203, 139, 11, 22, 44, 88, 176, 125, 250, 233, 207, 131, 27, 54, 108, 216, 173, 71, 142, 1]</span>
  477. </code>
  478. <section class="phpdocumentor-description"></section>
  479. <section class="phpdocumentor-description"></section>
  480. </article>
  481. <article class="phpdocumentor-element -constant -private ">
  482. <h4 class="phpdocumentor-element__name" id="constant_logTable">
  483. logTable
  484. <a href="classes/chillerlan-QRCode-Common-GF256.html#constant_logTable" class="headerlink"><i class="fas fa-link"></i></a>
  485. </h4>
  486. <aside class="phpdocumentor-element-found-in">
  487. <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
  488. :
  489. <span class="phpdocumentor-element-found-in__line">37</span>
  490. </aside>
  491. <p class="phpdocumentor-summary">irreducible polynomial whose coefficients are represented by the bits of an int,
  492. where the least-significant bit represents the constant coefficient</p>
  493. <code class="phpdocumentor-signature phpdocumentor-code ">
  494. <span class="phpdocumentor-signature__visibility">private</span>
  495. <span class="phpdocumentor-signature__type">mixed</span>
  496. <span class="phpdocumentor-signature__name">logTable</span>
  497. = <span class="phpdocumentor-signature__default-value">[
  498. 0,
  499. // the first value is never returned, index starts at 1
  500. 0,
  501. 1,
  502. 25,
  503. 2,
  504. 50,
  505. 26,
  506. 198,
  507. 3,
  508. 223,
  509. 51,
  510. 238,
  511. 27,
  512. 104,
  513. 199,
  514. 75,
  515. 4,
  516. 100,
  517. 224,
  518. 14,
  519. 52,
  520. 141,
  521. 239,
  522. 129,
  523. 28,
  524. 193,
  525. 105,
  526. 248,
  527. 200,
  528. 8,
  529. 76,
  530. 113,
  531. 5,
  532. 138,
  533. 101,
  534. 47,
  535. 225,
  536. 36,
  537. 15,
  538. 33,
  539. 53,
  540. 147,
  541. 142,
  542. 218,
  543. 240,
  544. 18,
  545. 130,
  546. 69,
  547. 29,
  548. 181,
  549. 194,
  550. 125,
  551. 106,
  552. 39,
  553. 249,
  554. 185,
  555. 201,
  556. 154,
  557. 9,
  558. 120,
  559. 77,
  560. 228,
  561. 114,
  562. 166,
  563. 6,
  564. 191,
  565. 139,
  566. 98,
  567. 102,
  568. 221,
  569. 48,
  570. 253,
  571. 226,
  572. 152,
  573. 37,
  574. 179,
  575. 16,
  576. 145,
  577. 34,
  578. 136,
  579. 54,
  580. 208,
  581. 148,
  582. 206,
  583. 143,
  584. 150,
  585. 219,
  586. 189,
  587. 241,
  588. 210,
  589. 19,
  590. 92,
  591. 131,
  592. 56,
  593. 70,
  594. 64,
  595. 30,
  596. 66,
  597. 182,
  598. 163,
  599. 195,
  600. 72,
  601. 126,
  602. 110,
  603. 107,
  604. 58,
  605. 40,
  606. 84,
  607. 250,
  608. 133,
  609. 186,
  610. 61,
  611. 202,
  612. 94,
  613. 155,
  614. 159,
  615. 10,
  616. 21,
  617. 121,
  618. 43,
  619. 78,
  620. 212,
  621. 229,
  622. 172,
  623. 115,
  624. 243,
  625. 167,
  626. 87,
  627. 7,
  628. 112,
  629. 192,
  630. 247,
  631. 140,
  632. 128,
  633. 99,
  634. 13,
  635. 103,
  636. 74,
  637. 222,
  638. 237,
  639. 49,
  640. 197,
  641. 254,
  642. 24,
  643. 227,
  644. 165,
  645. 153,
  646. 119,
  647. 38,
  648. 184,
  649. 180,
  650. 124,
  651. 17,
  652. 68,
  653. 146,
  654. 217,
  655. 35,
  656. 32,
  657. 137,
  658. 46,
  659. 55,
  660. 63,
  661. 209,
  662. 91,
  663. 149,
  664. 188,
  665. 207,
  666. 205,
  667. 144,
  668. 135,
  669. 151,
  670. 178,
  671. 220,
  672. 252,
  673. 190,
  674. 97,
  675. 242,
  676. 86,
  677. 211,
  678. 171,
  679. 20,
  680. 42,
  681. 93,
  682. 158,
  683. 132,
  684. 60,
  685. 57,
  686. 83,
  687. 71,
  688. 109,
  689. 65,
  690. 162,
  691. 31,
  692. 45,
  693. 67,
  694. 216,
  695. 183,
  696. 123,
  697. 164,
  698. 118,
  699. 196,
  700. 23,
  701. 73,
  702. 236,
  703. 127,
  704. 12,
  705. 111,
  706. 246,
  707. 108,
  708. 161,
  709. 59,
  710. 82,
  711. 41,
  712. 157,
  713. 85,
  714. 170,
  715. 251,
  716. 96,
  717. 134,
  718. 177,
  719. 187,
  720. 204,
  721. 62,
  722. 90,
  723. 203,
  724. 89,
  725. 95,
  726. 176,
  727. 156,
  728. 169,
  729. 160,
  730. 81,
  731. 11,
  732. 245,
  733. 22,
  734. 235,
  735. 122,
  736. 117,
  737. 44,
  738. 215,
  739. 79,
  740. 174,
  741. 213,
  742. 233,
  743. 230,
  744. 231,
  745. 173,
  746. 232,
  747. 116,
  748. 214,
  749. 244,
  750. 234,
  751. 168,
  752. 80,
  753. 88,
  754. 175,
  755. ]</span>
  756. </code>
  757. <section class="phpdocumentor-description"></section>
  758. </article>
  759. </section>
  760. <section class="phpdocumentor-methods">
  761. <h3 class="phpdocumentor-elements__header" id="methods">
  762. Methods
  763. <a href="classes/chillerlan-QRCode-Common-GF256.html#methods" class="headerlink"><i class="fas fa-link"></i></a>
  764. </h3>
  765. <article
  766. class="phpdocumentor-element
  767. -method
  768. -public
  769. -static "
  770. >
  771. <h4 class="phpdocumentor-element__name" id="method_addOrSubtract">
  772. addOrSubtract()
  773. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_addOrSubtract" class="headerlink"><i class="fas fa-link"></i></a>
  774. </h4>
  775. <aside class="phpdocumentor-element-found-in">
  776. <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
  777. :
  778. <span class="phpdocumentor-element-found-in__line">81</span>
  779. </aside>
  780. <p class="phpdocumentor-summary">Implements both addition and subtraction -- they are the same in GF(size).</p>
  781. <code class="phpdocumentor-code phpdocumentor-signature ">
  782. <span class="phpdocumentor-signature__visibility">public</span>
  783. <span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">addOrSubtract</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$b</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
  784. <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
  785. <dl class="phpdocumentor-argument-list">
  786. <dt class="phpdocumentor-argument-list__entry">
  787. <span class="phpdocumentor-signature__argument__name">$a</span>
  788. : <span class="phpdocumentor-signature__argument__return-type">int</span>
  789. </dt>
  790. <dd class="phpdocumentor-argument-list__definition">
  791. <section class="phpdocumentor-description"></section>
  792. </dd>
  793. <dt class="phpdocumentor-argument-list__entry">
  794. <span class="phpdocumentor-signature__argument__name">$b</span>
  795. : <span class="phpdocumentor-signature__argument__return-type">int</span>
  796. </dt>
  797. <dd class="phpdocumentor-argument-list__definition">
  798. <section class="phpdocumentor-description"></section>
  799. </dd>
  800. </dl>
  801. <h5 class="phpdocumentor-return-value__heading">Return values</h5>
  802. <span class="phpdocumentor-signature__response_type">int</span>
  803. &mdash;
  804. <section class="phpdocumentor-description"><p>sum/difference of a and b</p>
  805. </section>
  806. </article>
  807. <article
  808. class="phpdocumentor-element
  809. -method
  810. -public
  811. -static "
  812. >
  813. <h4 class="phpdocumentor-element__name" id="method_buildMonomial">
  814. buildMonomial()
  815. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_buildMonomial" class="headerlink"><i class="fas fa-link"></i></a>
  816. </h4>
  817. <aside class="phpdocumentor-element-found-in">
  818. <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
  819. :
  820. <span class="phpdocumentor-element-found-in__line">89</span>
  821. </aside>
  822. <code class="phpdocumentor-code phpdocumentor-signature ">
  823. <span class="phpdocumentor-signature__visibility">public</span>
  824. <span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">buildMonomial</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$degree</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$coefficient</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type"><a href="classes/chillerlan-QRCode-Common-GenericGFPoly.html"><abbr title="\chillerlan\QRCode\Common\GenericGFPoly">GenericGFPoly</abbr></a></span></code>
  825. <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
  826. <dl class="phpdocumentor-argument-list">
  827. <dt class="phpdocumentor-argument-list__entry">
  828. <span class="phpdocumentor-signature__argument__name">$degree</span>
  829. : <span class="phpdocumentor-signature__argument__return-type">int</span>
  830. </dt>
  831. <dd class="phpdocumentor-argument-list__definition">
  832. <section class="phpdocumentor-description"></section>
  833. </dd>
  834. <dt class="phpdocumentor-argument-list__entry">
  835. <span class="phpdocumentor-signature__argument__name">$coefficient</span>
  836. : <span class="phpdocumentor-signature__argument__return-type">int</span>
  837. </dt>
  838. <dd class="phpdocumentor-argument-list__definition">
  839. <section class="phpdocumentor-description"></section>
  840. </dd>
  841. </dl>
  842. <h5 class="phpdocumentor-tag-list__heading" id="tags">
  843. Tags
  844. <a href="#tags" class="headerlink"><i class="fas fa-link"></i></a>
  845. </h5>
  846. <dl class="phpdocumentor-tag-list">
  847. <dt class="phpdocumentor-tag-list__entry">
  848. <span class="phpdocumentor-tag__name">throws</span>
  849. </dt>
  850. <dd class="phpdocumentor-tag-list__definition">
  851. <span class="phpdocumentor-tag-link"><a href="classes/chillerlan-QRCode-QRCodeException.html"><abbr title="\chillerlan\QRCode\QRCodeException">QRCodeException</abbr></a></span>
  852. </dd>
  853. </dl>
  854. <h5 class="phpdocumentor-return-value__heading">Return values</h5>
  855. <span class="phpdocumentor-signature__response_type"><a href="classes/chillerlan-QRCode-Common-GenericGFPoly.html"><abbr title="\chillerlan\QRCode\Common\GenericGFPoly">GenericGFPoly</abbr></a></span>
  856. &mdash;
  857. <section class="phpdocumentor-description"><p>the monomial representing coefficient * x^degree</p>
  858. </section>
  859. </article>
  860. <article
  861. class="phpdocumentor-element
  862. -method
  863. -public
  864. -static "
  865. >
  866. <h4 class="phpdocumentor-element__name" id="method_exp">
  867. exp()
  868. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_exp" class="headerlink"><i class="fas fa-link"></i></a>
  869. </h4>
  870. <aside class="phpdocumentor-element-found-in">
  871. <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
  872. :
  873. <span class="phpdocumentor-element-found-in__line">104</span>
  874. </aside>
  875. <code class="phpdocumentor-code phpdocumentor-signature ">
  876. <span class="phpdocumentor-signature__visibility">public</span>
  877. <span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">exp</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
  878. <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
  879. <dl class="phpdocumentor-argument-list">
  880. <dt class="phpdocumentor-argument-list__entry">
  881. <span class="phpdocumentor-signature__argument__name">$a</span>
  882. : <span class="phpdocumentor-signature__argument__return-type">int</span>
  883. </dt>
  884. <dd class="phpdocumentor-argument-list__definition">
  885. <section class="phpdocumentor-description"></section>
  886. </dd>
  887. </dl>
  888. <h5 class="phpdocumentor-return-value__heading">Return values</h5>
  889. <span class="phpdocumentor-signature__response_type">int</span>
  890. &mdash;
  891. <section class="phpdocumentor-description"><p>2 to the power of $a in GF(size)</p>
  892. </section>
  893. </article>
  894. <article
  895. class="phpdocumentor-element
  896. -method
  897. -public
  898. -static "
  899. >
  900. <h4 class="phpdocumentor-element__name" id="method_inverse">
  901. inverse()
  902. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_inverse" class="headerlink"><i class="fas fa-link"></i></a>
  903. </h4>
  904. <aside class="phpdocumentor-element-found-in">
  905. <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
  906. :
  907. <span class="phpdocumentor-element-found-in__line">133</span>
  908. </aside>
  909. <code class="phpdocumentor-code phpdocumentor-signature ">
  910. <span class="phpdocumentor-signature__visibility">public</span>
  911. <span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">inverse</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
  912. <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
  913. <dl class="phpdocumentor-argument-list">
  914. <dt class="phpdocumentor-argument-list__entry">
  915. <span class="phpdocumentor-signature__argument__name">$a</span>
  916. : <span class="phpdocumentor-signature__argument__return-type">int</span>
  917. </dt>
  918. <dd class="phpdocumentor-argument-list__definition">
  919. <section class="phpdocumentor-description"></section>
  920. </dd>
  921. </dl>
  922. <h5 class="phpdocumentor-tag-list__heading" id="tags">
  923. Tags
  924. <a href="#tags" class="headerlink"><i class="fas fa-link"></i></a>
  925. </h5>
  926. <dl class="phpdocumentor-tag-list">
  927. <dt class="phpdocumentor-tag-list__entry">
  928. <span class="phpdocumentor-tag__name">throws</span>
  929. </dt>
  930. <dd class="phpdocumentor-tag-list__definition">
  931. <span class="phpdocumentor-tag-link"><a href="classes/chillerlan-QRCode-QRCodeException.html"><abbr title="\chillerlan\QRCode\QRCodeException">QRCodeException</abbr></a></span>
  932. </dd>
  933. </dl>
  934. <h5 class="phpdocumentor-return-value__heading">Return values</h5>
  935. <span class="phpdocumentor-signature__response_type">int</span>
  936. &mdash;
  937. <section class="phpdocumentor-description"><p>multiplicative inverse of a</p>
  938. </section>
  939. </article>
  940. <article
  941. class="phpdocumentor-element
  942. -method
  943. -public
  944. -static "
  945. >
  946. <h4 class="phpdocumentor-element__name" id="method_log">
  947. log()
  948. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_log" class="headerlink"><i class="fas fa-link"></i></a>
  949. </h4>
  950. <aside class="phpdocumentor-element-found-in">
  951. <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
  952. :
  953. <span class="phpdocumentor-element-found-in__line">120</span>
  954. </aside>
  955. <code class="phpdocumentor-code phpdocumentor-signature ">
  956. <span class="phpdocumentor-signature__visibility">public</span>
  957. <span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">log</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
  958. <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
  959. <dl class="phpdocumentor-argument-list">
  960. <dt class="phpdocumentor-argument-list__entry">
  961. <span class="phpdocumentor-signature__argument__name">$a</span>
  962. : <span class="phpdocumentor-signature__argument__return-type">int</span>
  963. </dt>
  964. <dd class="phpdocumentor-argument-list__definition">
  965. <section class="phpdocumentor-description"></section>
  966. </dd>
  967. </dl>
  968. <h5 class="phpdocumentor-tag-list__heading" id="tags">
  969. Tags
  970. <a href="#tags" class="headerlink"><i class="fas fa-link"></i></a>
  971. </h5>
  972. <dl class="phpdocumentor-tag-list">
  973. <dt class="phpdocumentor-tag-list__entry">
  974. <span class="phpdocumentor-tag__name">throws</span>
  975. </dt>
  976. <dd class="phpdocumentor-tag-list__definition">
  977. <span class="phpdocumentor-tag-link"><a href="classes/chillerlan-QRCode-QRCodeException.html"><abbr title="\chillerlan\QRCode\QRCodeException">QRCodeException</abbr></a></span>
  978. </dd>
  979. </dl>
  980. <h5 class="phpdocumentor-return-value__heading">Return values</h5>
  981. <span class="phpdocumentor-signature__response_type">int</span>
  982. &mdash;
  983. <section class="phpdocumentor-description"><p>base 2 log of $a in GF(size)</p>
  984. </section>
  985. </article>
  986. <article
  987. class="phpdocumentor-element
  988. -method
  989. -public
  990. -static "
  991. >
  992. <h4 class="phpdocumentor-element__name" id="method_multiply">
  993. multiply()
  994. <a href="classes/chillerlan-QRCode-Common-GF256.html#method_multiply" class="headerlink"><i class="fas fa-link"></i></a>
  995. </h4>
  996. <aside class="phpdocumentor-element-found-in">
  997. <abbr class="phpdocumentor-element-found-in__file" title="src/Common/GF256.php"><a href="files/src-common-gf256.html"><abbr title="src/Common/GF256.php">GF256.php</abbr></a></abbr>
  998. :
  999. <span class="phpdocumentor-element-found-in__line">145</span>
  1000. </aside>
  1001. <code class="phpdocumentor-code phpdocumentor-signature ">
  1002. <span class="phpdocumentor-signature__visibility">public</span>
  1003. <span class="phpdocumentor-signature__static">static</span> <span class="phpdocumentor-signature__name">multiply</span><span>(</span><span class="phpdocumentor-signature__argument"><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$a</span></span><span class="phpdocumentor-signature__argument"><span>, </span><span class="phpdocumentor-signature__argument__return-type">int&nbsp;</span><span class="phpdocumentor-signature__argument__name">$b</span></span><span>)</span><span> : </span><span class="phpdocumentor-signature__response_type">int</span></code>
  1004. <h5 class="phpdocumentor-argument-list__heading">Parameters</h5>
  1005. <dl class="phpdocumentor-argument-list">
  1006. <dt class="phpdocumentor-argument-list__entry">
  1007. <span class="phpdocumentor-signature__argument__name">$a</span>
  1008. : <span class="phpdocumentor-signature__argument__return-type">int</span>
  1009. </dt>
  1010. <dd class="phpdocumentor-argument-list__definition">
  1011. <section class="phpdocumentor-description"></section>
  1012. </dd>
  1013. <dt class="phpdocumentor-argument-list__entry">
  1014. <span class="phpdocumentor-signature__argument__name">$b</span>
  1015. : <span class="phpdocumentor-signature__argument__return-type">int</span>
  1016. </dt>
  1017. <dd class="phpdocumentor-argument-list__definition">
  1018. <section class="phpdocumentor-description"></section>
  1019. </dd>
  1020. </dl>
  1021. <h5 class="phpdocumentor-return-value__heading">Return values</h5>
  1022. <span class="phpdocumentor-signature__response_type">int</span>
  1023. &mdash;
  1024. <section class="phpdocumentor-description"><p>product of a and b in GF(size)</p>
  1025. </section>
  1026. </article>
  1027. </section>
  1028. <script type="text/javascript">
  1029. function loadExternalCodeSnippets(line) {
  1030. Array.prototype.slice.call(document.querySelectorAll('pre[data-src]')).forEach((pre) => {
  1031. var src = pre.getAttribute('data-src').replace( /\\/g, '/');
  1032. var extension = (src.match(/\.(\w+)$/) || [, ''])[1];
  1033. var language = 'php';
  1034. var code = document.createElement('code');
  1035. code.className = 'language-' + language;
  1036. pre.textContent = '';
  1037. pre.setAttribute('data-line', line)
  1038. code.textContent = 'Loading…';
  1039. pre.appendChild(code);
  1040. var xhr = new XMLHttpRequest();
  1041. xhr.open('GET', src, true);
  1042. xhr.onreadystatechange = function () {
  1043. if (xhr.readyState == 4) {
  1044. if (xhr.status < 400 && xhr.responseText) {
  1045. code.textContent = xhr.responseText;
  1046. Prism.highlightElement(code);
  1047. }
  1048. else if (xhr.status >= 400) {
  1049. code.textContent = '✖ Error ' + xhr.status + ' while fetching file: ' + xhr.statusText;
  1050. }
  1051. else {
  1052. code.textContent = '✖ Error: File does not exist, is empty or trying to view from localhost';
  1053. }
  1054. }
  1055. };
  1056. xhr.send(null);
  1057. });
  1058. }
  1059. var modals = document.querySelectorAll("[data-modal]");
  1060. modals.forEach(function (trigger) {
  1061. trigger.addEventListener("click", function (event) {
  1062. //event.preventDefault();
  1063. const modal = document.getElementById(trigger.dataset.modal);
  1064. modal.classList.add("phpdocumentor-modal__open");
  1065. loadExternalCodeSnippets(trigger.dataset.line)
  1066. const exits = modal.querySelectorAll("[data-exit-button]");
  1067. exits.forEach(function (exit) {
  1068. exit.addEventListener("click", function (event) {
  1069. event.preventDefault();
  1070. modal.classList.remove("phpdocumentor-modal__open");
  1071. });
  1072. });
  1073. });
  1074. });
  1075. </script>
  1076. </article>
  1077. <section data-search-results class="phpdocumentor-search-results phpdocumentor-search-results--hidden">
  1078. <section class="phpdocumentor-search-results__dialog">
  1079. <header class="phpdocumentor-search-results__header">
  1080. <h2 class="phpdocumentor-search-results__title">Search results</h2>
  1081. <button class="phpdocumentor-search-results__close"><i class="fas fa-times"></i></button>
  1082. </header>
  1083. <section class="phpdocumentor-search-results__body">
  1084. <ul class="phpdocumentor-search-results__entries"></ul>
  1085. </section>
  1086. </section>
  1087. </section>
  1088. </div>
  1089. </div>
  1090. <a href="classes/chillerlan-QRCode-Common-GF256.html#top" class="phpdocumentor-back-to-top"><i class="fas fa-chevron-circle-up"></i></a>
  1091. </main>
  1092. <script>
  1093. cssVars({});
  1094. </script>
  1095. <script src="https://cdn.jsdelivr.net/npm/prismjs@1.23.0/prism.min.js"></script>
  1096. <script src="https://cdn.jsdelivr.net/npm/prismjs@1.23.0/plugins/autoloader/prism-autoloader.min.js"></script>
  1097. <script src="https://cdn.jsdelivr.net/npm/prismjs@1.23.0/plugins/line-numbers/prism-line-numbers.min.js"></script>
  1098. <script src="https://cdn.jsdelivr.net/npm/prismjs@1.23.0/plugins/line-highlight/prism-line-highlight.min.js"></script>
  1099. </body>
  1100. </html>