bandlimited.h
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上传日期:2020-07-06
资源大小:29949k
文件大小:34k
源码类别:

midi

开发平台:

Unix_Linux

  1. /*****************************************************************************
  2.  * bandlimited.h : bandlimited interpolation resampler
  3.  *****************************************************************************
  4.  * Copyright (C) 2002 the VideoLAN team
  5.  * $Id: 5ef18270a682e5d59fcad39bda5eb37aa494dc1f $
  6.  *
  7.  * Authors: Gildas Bazin <gbazin@netcourrier.com>
  8.  *
  9.  * This program is free software; you can redistribute it and/or modify
  10.  * it under the terms of the GNU General Public License as published by
  11.  * the Free Software Foundation; either version 2 of the License, or
  12.  * (at your option) any later version.
  13.  *
  14.  * This program is distributed in the hope that it will be useful,
  15.  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  16.  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  17.  * GNU General Public License for more details.
  18.  *
  19.  * You should have received a copy of the GNU General Public License
  20.  * along with this program; if not, write to the Free Software
  21.  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston MA 02110-1301, USA.
  22.  *****************************************************************************/
  23. /* Conversion constants */
  24. #define Nhc       8
  25. #define Npc      (1<<Nhc)
  26. /* Description of constants:
  27.  *
  28.  * Npc - is the number of look-up values available for the lowpass filter
  29.  *    between the beginning of its impulse response and the "cutoff time"
  30.  *    of the filter.  The cutoff time is defined as the reciprocal of the
  31.  *    lowpass-filter cut off frequence in Hz.  For example, if the
  32.  *    lowpass filter were a sinc function, Npc would be the index of the
  33.  *    impulse-response lookup-table corresponding to the first zero-
  34.  *    crossing of the sinc function.  (The inverse first zero-crossing
  35.  *    time of a sinc function equals its nominal cutoff frequency in Hz.)
  36.  *    Npc must be a power of 2 due to the details of the current
  37.  *    implementation. The default value of 512 is sufficiently high that
  38.  *    using linear interpolation to fill in between the table entries
  39.  *    gives approximately 16-bit accuracy in filter coefficients.
  40.  *
  41.  * Nhc - is log base 2 of Npc.
  42.  */
  43. #define SMALL_FILTER_NMULT ((int16_t)13)
  44. #define SMALL_FILTER_SCALE 13128 /* Unity-gain scale factor */
  45. #define SMALL_FILTER_NWING 1536 /* Filter table length */
  46. static const float SMALL_FILTER_FLOAT_IMP[] /* Impulse response */ = {
  47. 0.900000,
  48. 0.899980,
  49. 0.899920,
  50. 0.899821,
  51. 0.899681,
  52. 0.899502,
  53. 0.899283,
  54. 0.899024,
  55. 0.898726,
  56. 0.898388,
  57. 0.898010,
  58. 0.897592,
  59. 0.897135,
  60. 0.896638,
  61. 0.896102,
  62. 0.895526,
  63. 0.894911,
  64. 0.894256,
  65. 0.893562,
  66. 0.892829,
  67. 0.892056,
  68. 0.891244,
  69. 0.890394,
  70. 0.889504,
  71. 0.888575,
  72. 0.887608,
  73. 0.886602,
  74. 0.885557,
  75. 0.884474,
  76. 0.883352,
  77. 0.882192,
  78. 0.880993,
  79. 0.879756,
  80. 0.878482,
  81. 0.877169,
  82. 0.875818,
  83. 0.874430,
  84. 0.873004,
  85. 0.871541,
  86. 0.870040,
  87. 0.868502,
  88. 0.866927,
  89. 0.865315,
  90. 0.863667,
  91. 0.861981,
  92. 0.860259,
  93. 0.858501,
  94. 0.856707,
  95. 0.854876,
  96. 0.853010,
  97. 0.851108,
  98. 0.849170,
  99. 0.847197,
  100. 0.845189,
  101. 0.843146,
  102. 0.841067,
  103. 0.838954,
  104. 0.836807,
  105. 0.834625,
  106. 0.832409,
  107. 0.830160,
  108. 0.827876,
  109. 0.825559,
  110. 0.823209,
  111. 0.820825,
  112. 0.818408,
  113. 0.815959,
  114. 0.813477,
  115. 0.810963,
  116. 0.808417,
  117. 0.805839,
  118. 0.803229,
  119. 0.800588,
  120. 0.797916,
  121. 0.795213,
  122. 0.792479,
  123. 0.789714,
  124. 0.786919,
  125. 0.784095,
  126. 0.781240,
  127. 0.778356,
  128. 0.775442,
  129. 0.772500,
  130. 0.769529,
  131. 0.766529,
  132. 0.763501,
  133. 0.760444,
  134. 0.757361,
  135. 0.754249,
  136. 0.751110,
  137. 0.747945,
  138. 0.744753,
  139. 0.741534,
  140. 0.738289,
  141. 0.735018,
  142. 0.731721,
  143. 0.728400,
  144. 0.725053,
  145. 0.721681,
  146. 0.718285,
  147. 0.714865,
  148. 0.711420,
  149. 0.707953,
  150. 0.704461,
  151. 0.700947,
  152. 0.697410,
  153. 0.693851,
  154. 0.690269,
  155. 0.686665,
  156. 0.683040,
  157. 0.679394,
  158. 0.675727,
  159. 0.672039,
  160. 0.668331,
  161. 0.664602,
  162. 0.660854,
  163. 0.657087,
  164. 0.653300,
  165. 0.649495,
  166. 0.645671,
  167. 0.641829,
  168. 0.637969,
  169. 0.634091,
  170. 0.630197,
  171. 0.626285,
  172. 0.622357,
  173. 0.618412,
  174. 0.614452,
  175. 0.610476,
  176. 0.606485,
  177. 0.602478,
  178. 0.598457,
  179. 0.594422,
  180. 0.590373,
  181. 0.586310,
  182. 0.582234,
  183. 0.578144,
  184. 0.574042,
  185. 0.569928,
  186. 0.565801,
  187. 0.561663,
  188. 0.557514,
  189. 0.553353,
  190. 0.549182,
  191. 0.545001,
  192. 0.540809,
  193. 0.536607,
  194. 0.532397,
  195. 0.528177,
  196. 0.523948,
  197. 0.519711,
  198. 0.515466,
  199. 0.511214,
  200. 0.506954,
  201. 0.502686,
  202. 0.498413,
  203. 0.494132,
  204. 0.489846,
  205. 0.485554,
  206. 0.481256,
  207. 0.476954,
  208. 0.472646,
  209. 0.468335,
  210. 0.464019,
  211. 0.459699,
  212. 0.455377,
  213. 0.451050,
  214. 0.446722,
  215. 0.442390,
  216. 0.438057,
  217. 0.433722,
  218. 0.429385,
  219. 0.425048,
  220. 0.420709,
  221. 0.416370,
  222. 0.412031,
  223. 0.407692,
  224. 0.403354,
  225. 0.399016,
  226. 0.394679,
  227. 0.390344,
  228. 0.386011,
  229. 0.381680,
  230. 0.377351,
  231. 0.373025,
  232. 0.368702,
  233. 0.364382,
  234. 0.360066,
  235. 0.355754,
  236. 0.351446,
  237. 0.347143,
  238. 0.342844,
  239. 0.338551,
  240. 0.334264,
  241. 0.329982,
  242. 0.325706,
  243. 0.321437,
  244. 0.317174,
  245. 0.312918,
  246. 0.308670,
  247. 0.304429,
  248. 0.300197,
  249. 0.295972,
  250. 0.291756,
  251. 0.287548,
  252. 0.283350,
  253. 0.279161,
  254. 0.274982,
  255. 0.270812,
  256. 0.266653,
  257. 0.262504,
  258. 0.258366,
  259. 0.254239,
  260. 0.250123,
  261. 0.246018,
  262. 0.241926,
  263. 0.237846,
  264. 0.233777,
  265. 0.229722,
  266. 0.225679,
  267. 0.221650,
  268. 0.217634,
  269. 0.213632,
  270. 0.209643,
  271. 0.205669,
  272. 0.201709,
  273. 0.197764,
  274. 0.193833,
  275. 0.189918,
  276. 0.186018,
  277. 0.182134,
  278. 0.178265,
  279. 0.174413,
  280. 0.170577,
  281. 0.166758,
  282. 0.162955,
  283. 0.159169,
  284. 0.155401,
  285. 0.151650,
  286. 0.147916,
  287. 0.144201,
  288. 0.140503,
  289. 0.136824,
  290. 0.133163,
  291. 0.129521,
  292. 0.125898,
  293. 0.122294,
  294. 0.118710,
  295. 0.115145,
  296. 0.111599,
  297. 0.108073,
  298. 0.104568,
  299. 0.101083,
  300. 0.097618,
  301. 0.094174,
  302. 0.090750,
  303. 0.087348,
  304. 0.083966,
  305. 0.080606,
  306. 0.077268,
  307. 0.073951,
  308. 0.070656,
  309. 0.067383,
  310. 0.064132,
  311. 0.060903,
  312. 0.057697,
  313. 0.054513,
  314. 0.051352,
  315. 0.048214,
  316. 0.045099,
  317. 0.042006,
  318. 0.038938,
  319. 0.035892,
  320. 0.032870,
  321. 0.029872,
  322. 0.026898,
  323. 0.023947,
  324. 0.021021,
  325. 0.018118,
  326. 0.015240,
  327. 0.012386,
  328. 0.009557,
  329. 0.006752,
  330. 0.003972,
  331. 0.001217,
  332. -0.001514,
  333. -0.004219,
  334. -0.006900,
  335. -0.009555,
  336. -0.012186,
  337. -0.014790,
  338. -0.017370,
  339. -0.019924,
  340. -0.022453,
  341. -0.024956,
  342. -0.027433,
  343. -0.029885,
  344. -0.032310,
  345. -0.034710,
  346. -0.037085,
  347. -0.039433,
  348. -0.041755,
  349. -0.044051,
  350. -0.046321,
  351. -0.048565,
  352. -0.050782,
  353. -0.052974,
  354. -0.055139,
  355. -0.057278,
  356. -0.059391,
  357. -0.061477,
  358. -0.063537,
  359. -0.065570,
  360. -0.067577,
  361. -0.069558,
  362. -0.071513,
  363. -0.073440,
  364. -0.075342,
  365. -0.077217,
  366. -0.079065,
  367. -0.080887,
  368. -0.082683,
  369. -0.084452,
  370. -0.086195,
  371. -0.087911,
  372. -0.089601,
  373. -0.091265,
  374. -0.092902,
  375. -0.094513,
  376. -0.096097,
  377. -0.097656,
  378. -0.099188,
  379. -0.100693,
  380. -0.102173,
  381. -0.103626,
  382. -0.105053,
  383. -0.106454,
  384. -0.107830,
  385. -0.109179,
  386. -0.110502,
  387. -0.111799,
  388. -0.113070,
  389. -0.114316,
  390. -0.115536,
  391. -0.116730,
  392. -0.117899,
  393. -0.119042,
  394. -0.120159,
  395. -0.121251,
  396. -0.122318,
  397. -0.123360,
  398. -0.124376,
  399. -0.125368,
  400. -0.126334,
  401. -0.127275,
  402. -0.128192,
  403. -0.129083,
  404. -0.129950,
  405. -0.130793,
  406. -0.131611,
  407. -0.132404,
  408. -0.133174,
  409. -0.133919,
  410. -0.134640,
  411. -0.135337,
  412. -0.136010,
  413. -0.136659,
  414. -0.137284,
  415. -0.137886,
  416. -0.138465,
  417. -0.139020,
  418. -0.139552,
  419. -0.140061,
  420. -0.140547,
  421. -0.141010,
  422. -0.141451,
  423. -0.141868,
  424. -0.142263,
  425. -0.142636,
  426. -0.142987,
  427. -0.143316,
  428. -0.143622,
  429. -0.143907,
  430. -0.144170,
  431. -0.144412,
  432. -0.144632,
  433. -0.144830,
  434. -0.145008,
  435. -0.145165,
  436. -0.145301,
  437. -0.145416,
  438. -0.145511,
  439. -0.145585,
  440. -0.145639,
  441. -0.145673,
  442. -0.145687,
  443. -0.145681,
  444. -0.145656,
  445. -0.145611,
  446. -0.145547,
  447. -0.145464,
  448. -0.145361,
  449. -0.145240,
  450. -0.145100,
  451. -0.144942,
  452. -0.144766,
  453. -0.144571,
  454. -0.144358,
  455. -0.144127,
  456. -0.143879,
  457. -0.143613,
  458. -0.143330,
  459. -0.143030,
  460. -0.142713,
  461. -0.142379,
  462. -0.142028,
  463. -0.141661,
  464. -0.141278,
  465. -0.140878,
  466. -0.140463,
  467. -0.140032,
  468. -0.139585,
  469. -0.139123,
  470. -0.138646,
  471. -0.138153,
  472. -0.137646,
  473. -0.137124,
  474. -0.136588,
  475. -0.136037,
  476. -0.135473,
  477. -0.134894,
  478. -0.134302,
  479. -0.133696,
  480. -0.133076,
  481. -0.132444,
  482. -0.131798,
  483. -0.131140,
  484. -0.130469,
  485. -0.129785,
  486. -0.129089,
  487. -0.128381,
  488. -0.127662,
  489. -0.126930,
  490. -0.126187,
  491. -0.125433,
  492. -0.124668,
  493. -0.123891,
  494. -0.123104,
  495. -0.122306,
  496. -0.121498,
  497. -0.120680,
  498. -0.119851,
  499. -0.119013,
  500. -0.118165,
  501. -0.117308,
  502. -0.116441,
  503. -0.115565,
  504. -0.114681,
  505. -0.113788,
  506. -0.112886,
  507. -0.111976,
  508. -0.111057,
  509. -0.110131,
  510. -0.109197,
  511. -0.108255,
  512. -0.107306,
  513. -0.106350,
  514. -0.105386,
  515. -0.104416,
  516. -0.103439,
  517. -0.102455,
  518. -0.101466,
  519. -0.100470,
  520. -0.099468,
  521. -0.098460,
  522. -0.097447,
  523. -0.096428,
  524. -0.095404,
  525. -0.094375,
  526. -0.093341,
  527. -0.092303,
  528. -0.091260,
  529. -0.090212,
  530. -0.089161,
  531. -0.088105,
  532. -0.087046,
  533. -0.085982,
  534. -0.084916,
  535. -0.083846,
  536. -0.082773,
  537. -0.081697,
  538. -0.080618,
  539. -0.079536,
  540. -0.078452,
  541. -0.077366,
  542. -0.076277,
  543. -0.075187,
  544. -0.074095,
  545. -0.073001,
  546. -0.071905,
  547. -0.070808,
  548. -0.069710,
  549. -0.068611,
  550. -0.067512,
  551. -0.066411,
  552. -0.065310,
  553. -0.064209,
  554. -0.063107,
  555. -0.062005,
  556. -0.060903,
  557. -0.059802,
  558. -0.058701,
  559. -0.057600,
  560. -0.056500,
  561. -0.055401,
  562. -0.054303,
  563. -0.053206,
  564. -0.052110,
  565. -0.051015,
  566. -0.049922,
  567. -0.048831,
  568. -0.047741,
  569. -0.046654,
  570. -0.045568,
  571. -0.044485,
  572. -0.043403,
  573. -0.042325,
  574. -0.041249,
  575. -0.040175,
  576. -0.039105,
  577. -0.038037,
  578. -0.036973,
  579. -0.035912,
  580. -0.034854,
  581. -0.033799,
  582. -0.032749,
  583. -0.031701,
  584. -0.030658,
  585. -0.029619,
  586. -0.028583,
  587. -0.027552,
  588. -0.026525,
  589. -0.025502,
  590. -0.024484,
  591. -0.023471,
  592. -0.022462,
  593. -0.021458,
  594. -0.020459,
  595. -0.019464,
  596. -0.018475,
  597. -0.017491,
  598. -0.016513,
  599. -0.015539,
  600. -0.014572,
  601. -0.013610,
  602. -0.012653,
  603. -0.011702,
  604. -0.010757,
  605. -0.009818,
  606. -0.008885,
  607. -0.007958,
  608. -0.007038,
  609. -0.006123,
  610. -0.005215,
  611. -0.004313,
  612. -0.003418,
  613. -0.002530,
  614. -0.001648,
  615. -0.000772,
  616. 0.000096,
  617. 0.000958,
  618. 0.001813,
  619. 0.002660,
  620. 0.003501,
  621. 0.004335,
  622. 0.005161,
  623. 0.005980,
  624. 0.006792,
  625. 0.007597,
  626. 0.008394,
  627. 0.009183,
  628. 0.009965,
  629. 0.010740,
  630. 0.011507,
  631. 0.012266,
  632. 0.013018,
  633. 0.013762,
  634. 0.014498,
  635. 0.015226,
  636. 0.015946,
  637. 0.016658,
  638. 0.017363,
  639. 0.018059,
  640. 0.018747,
  641. 0.019428,
  642. 0.020100,
  643. 0.020764,
  644. 0.021420,
  645. 0.022067,
  646. 0.022707,
  647. 0.023338,
  648. 0.023961,
  649. 0.024575,
  650. 0.025181,
  651. 0.025779,
  652. 0.026369,
  653. 0.026950,
  654. 0.027523,
  655. 0.028087,
  656. 0.028643,
  657. 0.029191,
  658. 0.029730,
  659. 0.030260,
  660. 0.030782,
  661. 0.031296,
  662. 0.031801,
  663. 0.032297,
  664. 0.032785,
  665. 0.033265,
  666. 0.033736,
  667. 0.034199,
  668. 0.034653,
  669. 0.035098,
  670. 0.035536,
  671. 0.035964,
  672. 0.036384,
  673. 0.036796,
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  1397. 0.000571,
  1398. 0.000559,
  1399. 0.000547,
  1400. 0.000536,
  1401. 0.000524,
  1402. 0.000512,
  1403. 0.000501,
  1404. 0.000490,
  1405. 0.000479,
  1406. 0.000467,
  1407. 0.000456,
  1408. 0.000446,
  1409. 0.000435,
  1410. 0.000424,
  1411. 0.000414,
  1412. 0.000403,
  1413. 0.000393,
  1414. 0.000383,
  1415. 0.000373,
  1416. 0.000363,
  1417. 0.000353,
  1418. 0.000343,
  1419. 0.000333,
  1420. 0.000324,
  1421. 0.000315,
  1422. 0.000305,
  1423. 0.000296,
  1424. 0.000287,
  1425. 0.000278,
  1426. 0.000269,
  1427. 0.000261,
  1428. 0.000252,
  1429. 0.000244,
  1430. 0.000235,
  1431. 0.000227,
  1432. 0.000219,
  1433. 0.000211,
  1434. 0.000203,
  1435. 0.000196,
  1436. 0.000188,
  1437. 0.000181,
  1438. 0.000173,
  1439. 0.000166,
  1440. 0.000159,
  1441. 0.000152,
  1442. 0.000145,
  1443. 0.000138,
  1444. 0.000131,
  1445. 0.000125,
  1446. 0.000118,
  1447. 0.000112,
  1448. 0.000106,
  1449. 0.000100,
  1450. 0.000094,
  1451. 0.000088,
  1452. 0.000082,
  1453. 0.000077,
  1454. 0.000071,
  1455. 0.000066,
  1456. 0.000060,
  1457. 0.000055,
  1458. 0.000050,
  1459. 0.000045,
  1460. 0.000040,
  1461. 0.000035,
  1462. 0.000031,
  1463. 0.000026,
  1464. 0.000022,
  1465. 0.000017,
  1466. 0.000013,
  1467. 0.000009,
  1468. 0.000005,
  1469. 0.000001,
  1470. -0.000003,
  1471. -0.000007,
  1472. -0.000010,
  1473. -0.000014,
  1474. -0.000017,
  1475. -0.000021,
  1476. -0.000024,
  1477. -0.000027,
  1478. -0.000030,
  1479. -0.000033,
  1480. -0.000036,
  1481. -0.000039,
  1482. -0.000042,
  1483. -0.000044,
  1484. -0.000047,
  1485. -0.000049,
  1486. -0.000052,
  1487. -0.000054,
  1488. -0.000056,
  1489. -0.000059,
  1490. -0.000061,
  1491. -0.000063,
  1492. -0.000065,
  1493. -0.000066,
  1494. -0.000068,
  1495. -0.000070,
  1496. -0.000071,
  1497. -0.000073,
  1498. -0.000074,
  1499. -0.000076,
  1500. -0.000077,
  1501. -0.000078,
  1502. -0.000080,
  1503. -0.000081,
  1504. -0.000082,
  1505. -0.000083,
  1506. -0.000084,
  1507. -0.000085,
  1508. -0.000085,
  1509. -0.000086,
  1510. -0.000087,
  1511. -0.000087,
  1512. -0.000088,
  1513. -0.000089,
  1514. -0.000089,
  1515. -0.000089,
  1516. -0.000090,
  1517. -0.000090,
  1518. -0.000090,
  1519. -0.000091,
  1520. -0.000091,
  1521. -0.000091,
  1522. -0.000091,
  1523. -0.000091,
  1524. -0.000091,
  1525. -0.000091,
  1526. -0.000091,
  1527. -0.000091,
  1528. -0.000090,
  1529. -0.000090,
  1530. -0.000090,
  1531. -0.000090,
  1532. -0.000089,
  1533. -0.000089,
  1534. -0.000089,
  1535. -0.000088,
  1536. -0.000088,
  1537. -0.000087,
  1538. -0.000087,
  1539. -0.000086,
  1540. -0.000085,
  1541. -0.000085,
  1542. -0.000084,
  1543. -0.000084,
  1544. -0.000083,
  1545. -0.000082,
  1546. -0.000081,
  1547. -0.000081,
  1548. -0.000080,
  1549. -0.000079,
  1550. -0.000078,
  1551. -0.000077,
  1552. -0.000077,
  1553. -0.000076,
  1554. -0.000075,
  1555. -0.000074,
  1556. -0.000073,
  1557. -0.000072,
  1558. -0.000071,
  1559. -0.000070,
  1560. -0.000069,
  1561. -0.000068,
  1562. -0.000067,
  1563. -0.000066,
  1564. -0.000065,
  1565. -0.000064,
  1566. -0.000063,
  1567. -0.000062,
  1568. -0.000061,
  1569. -0.000060,
  1570. -0.000059,
  1571. -0.000058,
  1572. -0.000057,
  1573. -0.000056,
  1574. -0.000055,
  1575. -0.000054,
  1576. -0.000052,
  1577. -0.000051,
  1578. -0.000050,
  1579. -0.000049,
  1580. -0.000048,
  1581. -0.000047,
  1582. -0.000046
  1583. };
  1584. static const float SMALL_FILTER_FLOAT_IMPD[] /* Impulse response */ = {
  1585. -0.000020,
  1586. -0.000060,
  1587. -0.000100,
  1588. -0.000139,
  1589. -0.000179,
  1590. -0.000219,
  1591. -0.000259,
  1592. -0.000299,
  1593. -0.000338,
  1594. -0.000378,
  1595. -0.000418,
  1596. -0.000457,
  1597. -0.000497,
  1598. -0.000536,
  1599. -0.000576,
  1600. -0.000615,
  1601. -0.000655,
  1602. -0.000694,
  1603. -0.000733,
  1604. -0.000772,
  1605. -0.000812,
  1606. -0.000851,
  1607. -0.000890,
  1608. -0.000929,
  1609. -0.000967,
  1610. -0.001006,
  1611. -0.001045,
  1612. -0.001083,
  1613. -0.001122,
  1614. -0.001160,
  1615. -0.001199,
  1616. -0.001237,
  1617. -0.001275,
  1618. -0.001313,
  1619. -0.001351,
  1620. -0.001388,
  1621. -0.001426,
  1622. -0.001463,
  1623. -0.001501,
  1624. -0.001538,
  1625. -0.001575,
  1626. -0.001612,
  1627. -0.001649,
  1628. -0.001685,
  1629. -0.001722,
  1630. -0.001758,
  1631. -0.001794,
  1632. -0.001830,
  1633. -0.001866,
  1634. -0.001902,
  1635. -0.001938,
  1636. -0.001973,
  1637. -0.002008,
  1638. -0.002043,
  1639. -0.002078,
  1640. -0.002113,
  1641. -0.002147,
  1642. -0.002182,
  1643. -0.002216,
  1644. -0.002250,
  1645. -0.002284,
  1646. -0.002317,
  1647. -0.002350,
  1648. -0.002384,
  1649. -0.002417,
  1650. -0.002449,
  1651. -0.002482,
  1652. -0.002514,
  1653. -0.002546,
  1654. -0.002578,
  1655. -0.002610,
  1656. -0.002641,
  1657. -0.002672,
  1658. -0.002703,
  1659. -0.002734,
  1660. -0.002765,
  1661. -0.002795,
  1662. -0.002825,
  1663. -0.002855,
  1664. -0.002884,
  1665. -0.002913,
  1666. -0.002942,
  1667. -0.002971,
  1668. -0.003000,
  1669. -0.003028,
  1670. -0.003056,
  1671. -0.003084,
  1672. -0.003111,
  1673. -0.003139,
  1674. -0.003166,
  1675. -0.003192,
  1676. -0.003219,
  1677. -0.003245,
  1678. -0.003271,
  1679. -0.003296,
  1680. -0.003322,
  1681. -0.003347,
  1682. -0.003372,
  1683. -0.003396,
  1684. -0.003420,
  1685. -0.003444,
  1686. -0.003468,
  1687. -0.003491,
  1688. -0.003514,
  1689. -0.003537,
  1690. -0.003559,
  1691. -0.003582,
  1692. -0.003604,
  1693. -0.003625,
  1694. -0.003646,
  1695. -0.003667,
  1696. -0.003688,
  1697. -0.003708,
  1698. -0.003728,
  1699. -0.003748,
  1700. -0.003767,
  1701. -0.003787,
  1702. -0.003805,
  1703. -0.003824,
  1704. -0.003842,
  1705. -0.003860,
  1706. -0.003877,
  1707. -0.003895,
  1708. -0.003912,
  1709. -0.003928,
  1710. -0.003944,
  1711. -0.003960,
  1712. -0.003976,
  1713. -0.003991,
  1714. -0.004006,
  1715. -0.004021,
  1716. -0.004035,
  1717. -0.004049,
  1718. -0.004063,
  1719. -0.004076,
  1720. -0.004089,
  1721. -0.004102,
  1722. -0.004114,
  1723. -0.004126,
  1724. -0.004138,
  1725. -0.004149,
  1726. -0.004161,
  1727. -0.004171,
  1728. -0.004182,
  1729. -0.004192,
  1730. -0.004201,
  1731. -0.004211,
  1732. -0.004220,
  1733. -0.004229,
  1734. -0.004237,
  1735. -0.004245,
  1736. -0.004253,
  1737. -0.004260,
  1738. -0.004267,
  1739. -0.004274,
  1740. -0.004280,
  1741. -0.004286,
  1742. -0.004292,
  1743. -0.004297,
  1744. -0.004303,
  1745. -0.004307,
  1746. -0.004312,
  1747. -0.004316,
  1748. -0.004320,
  1749. -0.004323,
  1750. -0.004326,
  1751. -0.004329,
  1752. -0.004331,
  1753. -0.004333,
  1754. -0.004335,
  1755. -0.004337,
  1756. -0.004338,
  1757. -0.004339,
  1758. -0.004339,
  1759. -0.004339,
  1760. -0.004339,
  1761. -0.004338,
  1762. -0.004338,
  1763. -0.004337,
  1764. -0.004335,
  1765. -0.004333,
  1766. -0.004331,
  1767. -0.004329,
  1768. -0.004326,
  1769. -0.004323,
  1770. -0.004320,
  1771. -0.004316,
  1772. -0.004312,
  1773. -0.004308,
  1774. -0.004303,
  1775. -0.004298,
  1776. -0.004293,
  1777. -0.004288,
  1778. -0.004282,
  1779. -0.004276,
  1780. -0.004269,
  1781. -0.004263,
  1782. -0.004256,
  1783. -0.004248,
  1784. -0.004241,
  1785. -0.004233,
  1786. -0.004225,
  1787. -0.004216,
  1788. -0.004207,
  1789. -0.004198,
  1790. -0.004189,
  1791. -0.004179,
  1792. -0.004170,
  1793. -0.004159,
  1794. -0.004149,
  1795. -0.004138,
  1796. -0.004127,
  1797. -0.004116,
  1798. -0.004104,
  1799. -0.004092,
  1800. -0.004080,
  1801. -0.004068,
  1802. -0.004055,
  1803. -0.004043,
  1804. -0.004029,
  1805. -0.004016,
  1806. -0.004002,
  1807. -0.003988,
  1808. -0.003974,
  1809. -0.003960,
  1810. -0.003945,
  1811. -0.003930,
  1812. -0.003915,
  1813. -0.003900,
  1814. -0.003884,
  1815. -0.003868,
  1816. -0.003852,
  1817. -0.003836,
  1818. -0.003819,
  1819. -0.003803,
  1820. -0.003786,
  1821. -0.003768,
  1822. -0.003751,
  1823. -0.003733,
  1824. -0.003716,
  1825. -0.003697,
  1826. -0.003679,
  1827. -0.003661,
  1828. -0.003642,
  1829. -0.003623,
  1830. -0.003604,
  1831. -0.003585,
  1832. -0.003565,
  1833. -0.003545,
  1834. -0.003526,
  1835. -0.003506,
  1836. -0.003485,
  1837. -0.003465,
  1838. -0.003444,
  1839. -0.003423,
  1840. -0.003402,
  1841. -0.003381,
  1842. -0.003360,
  1843. -0.003339,
  1844. -0.003317,
  1845. -0.003295,
  1846. -0.003273,
  1847. -0.003251,
  1848. -0.003229,
  1849. -0.003206,
  1850. -0.003184,
  1851. -0.003161,
  1852. -0.003138,
  1853. -0.003115,
  1854. -0.003092,
  1855. -0.003069,
  1856. -0.003045,
  1857. -0.003022,
  1858. -0.002998,
  1859. -0.002974,
  1860. -0.002951,
  1861. -0.002927,
  1862. -0.002902,
  1863. -0.002878,
  1864. -0.002854,
  1865. -0.002829,
  1866. -0.002805,
  1867. -0.002780,
  1868. -0.002755,
  1869. -0.002731,
  1870. -0.002706,
  1871. -0.002681,
  1872. -0.002655,
  1873. -0.002630,
  1874. -0.002605,
  1875. -0.002580,
  1876. -0.002554,
  1877. -0.002529,
  1878. -0.002503,
  1879. -0.002477,
  1880. -0.002452,
  1881. -0.002426,
  1882. -0.002400,
  1883. -0.002374,
  1884. -0.002348,
  1885. -0.002322,
  1886. -0.002296,
  1887. -0.002270,
  1888. -0.002244,
  1889. -0.002218,
  1890. -0.002191,
  1891. -0.002165,
  1892. -0.002139,
  1893. -0.002113,
  1894. -0.002086,
  1895. -0.002060,
  1896. -0.002034,
  1897. -0.002007,
  1898. -0.001981,
  1899. -0.001954,
  1900. -0.001928,
  1901. -0.001901,
  1902. -0.001875,
  1903. -0.001849,
  1904. -0.001822,
  1905. -0.001796,
  1906. -0.001769,
  1907. -0.001743,
  1908. -0.001716,
  1909. -0.001690,
  1910. -0.001664,
  1911. -0.001637,
  1912. -0.001611,
  1913. -0.001585,
  1914. -0.001558,
  1915. -0.001532,
  1916. -0.001506,
  1917. -0.001480,
  1918. -0.001453,
  1919. -0.001427,
  1920. -0.001401,
  1921. -0.001375,
  1922. -0.001349,
  1923. -0.001323,
  1924. -0.001297,
  1925. -0.001271,
  1926. -0.001246,
  1927. -0.001220,
  1928. -0.001194,
  1929. -0.001169,
  1930. -0.001143,
  1931. -0.001118,
  1932. -0.001092,
  1933. -0.001067,
  1934. -0.001042,
  1935. -0.001016,
  1936. -0.000991,
  1937. -0.000966,
  1938. -0.000941,
  1939. -0.000916,
  1940. -0.000892,
  1941. -0.000867,
  1942. -0.000842,
  1943. -0.000818,
  1944. -0.000794,
  1945. -0.000769,
  1946. -0.000745,
  1947. -0.000721,
  1948. -0.000697,
  1949. -0.000673,
  1950. -0.000649,
  1951. -0.000626,
  1952. -0.000602,
  1953. -0.000579,
  1954. -0.000555,
  1955. -0.000532,
  1956. -0.000509,
  1957. -0.000486,
  1958. -0.000463,
  1959. -0.000440,
  1960. -0.000418,
  1961. -0.000395,
  1962. -0.000373,
  1963. -0.000351,
  1964. -0.000329,
  1965. -0.000307,
  1966. -0.000285,
  1967. -0.000263,
  1968. -0.000242,
  1969. -0.000220,
  1970. -0.000199,
  1971. -0.000178,
  1972. -0.000157,
  1973. -0.000136,
  1974. -0.000115,
  1975. -0.000095,
  1976. -0.000074,
  1977. -0.000054,
  1978. -0.000034,
  1979. -0.000014,
  1980. 0.000006,
  1981. 0.000025,
  1982. 0.000045,
  1983. 0.000064,
  1984. 0.000083,
  1985. 0.000102,
  1986. 0.000121,
  1987. 0.000140,
  1988. 0.000158,
  1989. 0.000177,
  1990. 0.000195,
  1991. 0.000213,
  1992. 0.000231,
  1993. 0.000248,
  1994. 0.000266,
  1995. 0.000283,
  1996. 0.000300,
  1997. 0.000317,
  1998. 0.000334,
  1999. 0.000351,
  2000. 0.000367,
  2001. 0.000383,
  2002. 0.000399,
  2003. 0.000415,
  2004. 0.000431,
  2005. 0.000447,
  2006. 0.000462,
  2007. 0.000477,
  2008. 0.000492,
  2009. 0.000507,
  2010. 0.000522,
  2011. 0.000536,
  2012. 0.000551,
  2013. 0.000565,
  2014. 0.000579,
  2015. 0.000592,
  2016. 0.000606,
  2017. 0.000619,
  2018. 0.000633,
  2019. 0.000646,
  2020. 0.000658,
  2021. 0.000671,
  2022. 0.000684,
  2023. 0.000696,
  2024. 0.000708,
  2025. 0.000720,
  2026. 0.000731,
  2027. 0.000743,
  2028. 0.000754,
  2029. 0.000765,
  2030. 0.000776,
  2031. 0.000787,
  2032. 0.000798,
  2033. 0.000808,
  2034. 0.000818,
  2035. 0.000828,
  2036. 0.000838,
  2037. 0.000848,
  2038. 0.000857,
  2039. 0.000867,
  2040. 0.000876,
  2041. 0.000885,
  2042. 0.000893,
  2043. 0.000902,
  2044. 0.000910,
  2045. 0.000918,
  2046. 0.000926,
  2047. 0.000934,
  2048. 0.000942,
  2049. 0.000949,
  2050. 0.000956,
  2051. 0.000963,
  2052. 0.000970,
  2053. 0.000977,
  2054. 0.000983,
  2055. 0.000990,
  2056. 0.000996,
  2057. 0.001002,
  2058. 0.001008,
  2059. 0.001013,
  2060. 0.001019,
  2061. 0.001024,
  2062. 0.001029,
  2063. 0.001034,
  2064. 0.001039,
  2065. 0.001043,
  2066. 0.001047,
  2067. 0.001052,
  2068. 0.001056,
  2069. 0.001059,
  2070. 0.001063,
  2071. 0.001067,
  2072. 0.001070,
  2073. 0.001073,
  2074. 0.001076,
  2075. 0.001079,
  2076. 0.001082,
  2077. 0.001084,
  2078. 0.001086,
  2079. 0.001088,
  2080. 0.001090,
  2081. 0.001092,
  2082. 0.001094,
  2083. 0.001095,
  2084. 0.001097,
  2085. 0.001098,
  2086. 0.001099,
  2087. 0.001100,
  2088. 0.001101,
  2089. 0.001101,
  2090. 0.001101,
  2091. 0.001102,
  2092. 0.001102,
  2093. 0.001102,
  2094. 0.001102,
  2095. 0.001101,
  2096. 0.001101,
  2097. 0.001100,
  2098. 0.001099,
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