Lines Matching full:l
4 * Copyright (c) 2008 Stephen L. Moshier <steve@moshier.net>
31 S. L. Moshier */
37 static long double MACHEPL = 1.9259299443872358530559779425849273185381E-34L;
100 {"exp", expl, 1.0L, 2.7182769775390625L,
101 4.85091998273536028747135266249775725E-6L,
103 {"exp", expl, -1.0L, 3.678741455078125e-1L,
104 5.29566362982159552377016146086744581E-6L,
105 3.67879441171442321595523770161460867E-1L, TOL},
106 {"exp", expl, 0.5L, 1.648712158203125L,
107 9.11249700314684865078781416357165378E-6L,
108 1.64872127070012814684865078781416357L, TOL},
109 {"exp", expl, -0.5L, 6.065216064453125e-1L,
110 9.05326732092360379953499118045344192E-6L,
111 6.06530659712633423603799534991180453E-1L, TOL},
112 {"exp", expl, 2.0L, 7.3890533447265625L,
113 2.75420408772723042746057500781318032E-6L,
115 {"exp", expl, -2.0L, 1.353302001953125e-1L,
116 5.08304130019189399949497248440340763E-6L,
117 1.35335283236612691893999494972484403E-1L, TOL},
118 {"expm1", expm1l, 1.0L, 1.7182769775390625L,
119 4.85091998273536028747135266249775725E-6L,
121 {"expm1", expm1l, 0.5L, 0.648712158203125L,
122 9.11249700314684865078781416357165378E-6L,
123 1.64872127070012814684865078781416357L, TOL},
124 {"expm1", expm1l, 2.0L, 6.3890533447265625L,
125 2.75420408772723042746057500781318032E-6L,
127 {"log", logl, 1.41421356237309504880168872420969798L,
128 3.465728759765625E-1L,
129 7.14303410154708616060729088217412434E-7L,
130 7.07106781186547524400844362104849086E-1L, TOL},
131 {"log", logl, 7.07106781186547524400844362104848992E-1L,
132 -3.46588134765625E-1L,
133 1.45444856523452913839392709116493369E-5L,
135 {"log1p", log1pl, 0.41421356237309504880168872420969798L,
136 3.465728759765625E-1L,
137 7.14303410154708616060729088217412434E-7L,
138 7.07106781186547524400844362104849086E-1L, TOL},
139 {"sin", sinl, 7.85398163397448309615660845819875699E-1L,
140 7.0709228515625E-1L,
141 1.44960302975244008443621048490239551E-5L,
143 {"sin", sinl, -7.85398163397448309615660845819875699E-1L,
144 -7.071075439453125E-1L,
145 7.62758764975599155637895150976044903E-7L,
146 7.07106781186547524400844362104849055E-1L, TOL},
148 9.999847412109375E-1L,
149 1.52587890625E-5L,
150 0.0L, TOL},
152 -1.0L,
153 0.0L,
154 0.0L, TOL},
156 -1.0L,
157 0.0L,
158 0.0L, TOL},
160 1.0L,
161 0.0L,
162 0.0L, TOL},
163 {"cos", cosl, 3.92699081698724154807830422909937850E-1L,
164 9.238739013671875E-1L,
165 5.63114409925612818318939678829097061E-6L,
166 -3.82683432365089771728459984030398857E-1L, TOL},
167 {"cos", cosl, 7.85398163397448309615660845819875699E-1L,
168 7.0709228515625E-1L,
169 1.44960302975244008443621048490546146E-5L,
170 -7.07106781186547524400844362104849024E-1L, TOL},
172 3.826751708984375E-1L,
173 8.26146665227172845998403039889680525E-6L,
174 -9.23879532511286756128183189396788274E-1L, TOL},
176 -3.826904296875E-1L,
177 6.99732241022827154001596960118331183E-6L,
178 -9.23879532511286756128183189396788308E-1L, TOL},
180 -7.071075439453125E-1L,
181 7.62758764975599155637895151006704382E-7L,
182 -7.07106781186547524400844362104849085E-1L, TOL},
184 -9.2388916015625E-1L,
185 9.62764496324387181681060321174221497E-6L,
186 -3.82683432365089771728459984030398937E-1L, TOL},
188 -1.0L,
189 0.0L,
190 0.0L, TOL},
191 {"tan", tanl, 7.8539816339744830961566084581987569936977E-1L,
192 9.999847412109375E-1L,
193 1.5258789062499999999999999999956640949349E-5L,
194 2.0L, TOL},
196 2.4141998291015625L,
197 1.3733271532548801688724209697856514083701E-5L,
200 -2.414215087890625L,
201 1.52551752995119831127579030155133768E-6L,
204 -1.0000152587890625L,
205 1.52587890624999999999999999998699228E-5L,
206 2.0L, TOL},
208 -4.14215087890625E-1L,
209 1.52551752995119831127579030183253332E-6L,
211 {"atan", atanl, 4.14213562373095048801688724209698081E-1L,
212 3.926849365234375E-1L,
213 1.41451752866548078304229099378622950E-5L,
214 8.53553390593273762200422181052424518E-1L, TOL},
215 {"atan", atanl, 1.0L,
216 7.853851318359375E-1L,
217 1.30315615108096156608458198757210493E-5L,
218 0.5L, TOL},
220 1.1780853271484375L,
221 1.19179477349644234912687298135959800E-5L,
222 1.46446609406726237799577818947575470E-1L, TOL},
224 -1.1781005859375L,
225 3.34084132753557650873127018640402003E-6L,
226 1.46446609406726237799577818947575470E-1L, TOL},
227 {"atan", atanl, -1.0L,
228 -7.85400390625E-1L,
229 2.22722755169038433915418012427895071E-6L,
230 0.5L, TOL},
231 {"atan", atanl, -4.14213562373095048801688724209698081E-1L,
232 -3.927001953125E-1L,
233 1.11361377584519216957709006213770502E-6L,
234 8.53553390593273762200422181052424518E-1L, TOL},
235 {"asin", asinl, 3.82683432365089771728459984030398880E-1L,
236 3.926849365234375E-1L,
237 1.41451752866548078304229099378750938E-5L,
239 {"asin", asinl, 0.5L,
240 5.23590087890625E-1L,
241 8.68770767387307710723054658381403286E-6L,
243 {"asin", asinl, 7.07106781186547524400844362104848992E-1L,
244 7.853851318359375E-1L,
245 1.30315615108096156608458198756544240E-5L,
247 {"asin", asinl, 9.23879532511286756128183189396788310E-1L,
248 1.1780853271484375L,
249 1.19179477349644234912687298136415266E-5L,
251 {"asin", asinl, -0.5L,
252 -5.236053466796875E-1L,
253 6.57108138862692289276945341618596714E-6L,
255 {"asin", asinl, 1.16415321826934814453125E-10L,
256 1.16415321826934814453125E-10L,
257 2.62953635073670601805513180586984061E-31L,
259 {"asin", asinl, 0.625L,
260 6.751251220703125E-1L,
261 6.41086671914720905626529438801420419E-6L,
263 {"asin", asinl, 9.74999999999999999999999999999999981E-1L,
264 1.346710205078125L,
265 1.08364149523595315129076204973231659E-5L,
267 {"acos", acosl, 1.95090322016128267848284868477022248E-1L,
268 1.3744354248046875L,
269 1.13611408470418274064801847825042255E-5L,
271 {"acos", acosl, 3.82683432365089771728459984030398880E-1L,
272 1.1780853271484375L,
273 1.19179477349644234912687298135670048E-5L,
275 {"acos", acosl, 0.5L,
276 1.0471954345703125L,
277 2.11662628524615421446109316762806572E-6L,
279 {"acos", acosl, 7.07106781186547524400844362104848992E-1L,
280 7.853851318359375E-1L,
281 1.30315615108096156608458198757876746E-5L,
283 {"acos", acosl, 9.23879532511286756128183189396788310E-1L,
284 3.926849365234375E-1L,
285 1.41451752866548078304229099378005720E-5L,
287 {"acos", acosl, 9.80785280403230449126182236134239047E-1L,
288 1.963348388671875E-1L,
289 1.47019821745774039152114549688769794E-5L,
291 {"acos", acosl, -0.5L,
292 2.094390869140625L,
293 4.23325257049230842892218633525613145E-6L,
295 {"sinh", sinhl, 1.0L,
296 1.1751861572265625L,
297 1.50364172389568823818505956008151557E-5L,
299 {"sinh", sinhl, 11355.5L,
303 {"sinh", sinhl, 2.22044604925031308084726333618164062E-16L,
304 2.22044604925031308084726333618164062E-16L,
305 1.82460737542293889443193956157541613E-48L,
307 {"sinh", sinhl, 40.0L,
308 1.17692633418509992E17L, 7.039499553745174001302586809814832360E-1L,
310 {"sinh", sinhl, 6.938893903907228377647697925567626953E-18L, /* 2^-57 */
311 6.938893903907228377647697925567626953E-18L,
312 5.568259812692074262792784306565587261E-53L, 1.0L, TOL},
313 {"sinh", sinhl, 11356.375L,
317 {"cosh", coshl, 40.0L,
319 -1.036733679609227143506056540471143597E-18L,
321 {"cosh", coshl, 6.938893903907228377647697925567626953E-18L,
322 1.0L, 2.407412430484044816319972428231159158E-35L,
323 6.938893903907228377647697925567627009E-18L, TOL},
324 {"cosh", coshl, 11356.375L,
328 {"cosh", coshl, 11355.5L,
332 {"cosh", coshl, 1.0L,
333 1.5430755615234375L,
334 5.07329180627847790562075706168260153E-6L,
336 {"cosh", coshl, 0.5L,
337 1.12762451171875L,
338 1.45348763078522622516140267201254785E-6L,
339 5.21095305493747361622425626411491559E-1L, TOL},
340 {"tanh", tanhl, 0.5L,
341 4.621124267578125E-1L,
342 4.73050219725850231848364367254873029E-6L,
343 7.86447732965927410149698934343636102E-1L, TOL},
344 {"tanh", tanhl, 5.49306144334054845697622618461262805E-1L,
345 4.999847412109375E-1L,
346 1.52587890624999999999999999999648170E-5L,
347 7.50000000000000000000000000000000035E-1L, TOL},
348 {"tanh", tanhl, 0.625L,
349 5.54595947265625E-1L,
350 3.77508375729399903909532308359605810E-6L,
351 6.92419147969988069630753311573341685E-1L, TOL},
352 {"tanh", tanhl, 40.0L,
353 1.0L,
354 -3.609702775690830344624256714700054777E-35L,
355 7.219405551381660689248513429400109424E-35L, TOL},
356 {"tanh", tanhl, 6.9388939039072283776476979255676269531250E-18L, /* 2^-57 */
357 6.9388939039072283776476979255676269531250E-18L,
358 -1.1136519625384148525585568613131174280582E-52L,
359 9.9999999999999999999999999999999995185175E-1L, TOL},
360 {"tanh", tanhl, 2.775557561562891351059079170227050781E-17L, /* 2^-55 */
361 2.775557561562891351059079170227050781E-17L,
362 -7.127372560245855056374763912403949481E-51L,
363 9.999999999999999999999999999999992296E-1L, TOL},
364 {"tanh", tanhl, 1.0L,
365 7.615814208984375e-1L,
366 1.273505732738811945828260479359041277E-5L,
367 4.199743416140260693944967390417014449E-1L, TOL},
368 {"asinh", asinhl, 0.5L,
369 4.81201171875E-1L,
370 1.06531846034474977589134243684231352E-5L,
371 8.94427190999915878563669467492510494E-1L, TOL},
372 {"asinh", asinhl, 1.0L,
373 8.813629150390625E-1L,
374 1.06719804805252326093249797923090282E-5L,
375 7.07106781186547524400844362104849039E-1L, TOL},
376 {"asinh", asinhl, 2.0L,
377 1.443634033203125L,
378 1.44197568534249327674027310526940555E-6L,
379 4.47213595499957939281834733746255247E-1L, TOL},
380 {"asinh", asinhl, 1.3877787807814456755295395851135253906250E-17L, /*2^-56*/
381 1.3877787807814456755295395851135253906250E-17L,
382 -4.4546078501536594102342274452524694119585E-52L,
383 9.9999999999999999999999999999999990370350E-1L, TOL},
385 38.1230926513671875L,
386 2.2794298045179477666801997120145244851447E-6L,
387 5.5511151231257827021181583404540930096529E-17L, TOL},
388 {"acosh", acoshl, 2.0L,
389 1.31695556640625L,
390 2.33051856670862504634730796844402698E-6L,
391 5.77350269189625764509148780501957456E-1L, TOL},
392 {"acosh", acoshl, 1.5L,
393 9.624176025390625E-1L,
394 6.04758014439499551782684873684627037E-6L,
395 8.94427190999915878563669467492510494E-1L, TOL},
396 {"acosh", acoshl, 1.03125L,
397 2.493438720703125E-1L,
398 9.62177257298785143907541001884302707E-6L,
401 20.10125732421875L,
402 1.091201966396963028457033350626731006E-5L,
403 3.725290298461914088349394142282115109E-9L, TOL},
405 38.1230926513671875L,
406 2.279429804517947766680199710473780530E-6L,
407 5.551115123125782702118158340454110115E-17L, TOL},
409 21.487548828125L,
410 1.376923330459171735533070637272346848E-5L,
411 9.313225746154785160288967834731580446E-10L, TOL},
412 {"atanh", atanhl, 0.5L,
413 5.493011474609375E-1L,
414 4.99687311734569762261846126285232375E-6L,
420 {"j0", j0l, 16.0L, -1.749114990234375e-1L,
421 1.24250398083151715974822741805925455E-5L,
422 -9.03971756613041862386833024580760244E-2L, -2},
423 {"j0", j0l, 8.0L, 1.716461181640625E-1L,
424 4.68897349140609086940785197200106842E-6L,
425 -2.34636346853914624381276651590454612E-1L, -2},
427 -6.427001953125e-2L,
428 2.71515994768793872858212682917411767E-6L,
429 3.46125605116223455248039758589625114E-1L, -2},
430 {"j0", j0l, 4.0L, -3.9715576171875e-1L,
431 5.95185490262771340923154830195802438E-6L,
432 6.60433280235491361431854208032750287E-2L, -2},
433 {"j0", j0l, 3.2L, -3.201904296875e-1L,
434 2.26003037709271056745460231434000663E-6L,
435 -2.61343248780504837362986742359905319E-1L, -2},
437 -1.275634765625e-1L,
438 2.48895584953746034929481550434723427E-6L,
439 -4.51651148392987785778929732830311060E-1L, -2},
441 6.3262939453125e-2L,
442 7.41898014310740285267270594759284975E-6L,
443 -5.42395540605083481518545728422177515E-1L, -2},
444 {"j0", j0l, 2.0L,
445 2.23876953125e-1L,
446 1.38260162356680518274546499486258252E-5L,
447 -5.76724807756873387202448242269137087E-1L, -2},
448 {"y0", y0l, 16.0L,
449 9.58099365234375e-2L,
450 1.06055727490314207096590322941832776E-6L,
451 -1.77975168939416859630601904359871915E-1L, -2},
452 {"y0", y0l, 8.0L,
453 2.235107421875e-1L,
454 1.07472000662205273234004986203592748E-5L,
455 1.58060461731247494255555266187483550E-1L, -2},
457 -3.387451171875e-1L,
458 1.48763307492243286439161163883136261E-5L,
459 -3.30338692743198039852173817311267913E-2L, -2},
460 {"y0", y0l, 4.0L,
461 -1.69525146484375E-2L,
462 1.17753233725080963648655528467817595E-5L,
463 -3.97925710557100005253979972450791852E-1L, -2},
464 {"y0", y0l, 3.2L,
465 3.070526123046875E-1L,
466 6.37827715583546999256417236405953385E-7L,
467 -3.70711338441274693924314235987044508E-1L, -2},
469 4.67864990234375E-1L,
470 1.52461165366402773840048623192120982E-5L,
471 -2.14907152209457967672108494960545800E-1L, -2},
473 5.18768310546875E-1L,
474 3.23404086137065314580351322765266943E-6L,
475 -4.51747395962233519705260050662299281E-2L, -2},
476 {"y0", y0l, 2.0L,
477 5.103607177734375E-1L,
478 1.49548763076195966065927271578732681E-5L,
479 1.07032431540937546888370772277476637E-1L, -2},
480 {"j1", j1l, 16.0L,
481 9.039306640625e-2L,
482 4.1092550541862386833024580760244495945291E-6L,
483 -1.8054889746246069646832022412944915898260E-1L, -2},
484 {"j1", j1l, 8.0L,
485 2.346343994140625e-1L,
486 1.9474398521243812766515904546115487521615E-6L,
487 1.4232126378081457804320982640316517462483E-1L, -2},
489 -3.4613037109375e-1L,
490 4.7659775265447519602414103748858036315250E-6L,
491 6.3124658798958579773603686238379727242328E-4L, -2},
492 {"j1", j1l, 4.0L,
493 -6.60552978515625e-2L,
494 1.1969828013363856814579196724971272576580E-5L,
495 -3.8063897785796008825079441325087928479376E-1L, -2},
497 2.613372802734375e-1L,
498 5.9685070673373629867423599052573498655055E-6L,
499 -4.0185793490103066896536590238515608924925E-1L, -2},
501 4.516448974609375e-1L,
502 6.2509320502857789297328303110978154167062E-6L,
503 -2.9693016825402088220674935499586226461144E-1L, -2},
505 5.42388916015625e-1L,
506 6.6245894584815185457284221775341820978577E-6L,
507 -1.7402769058145591576151108347875503008807E-1L, -2},
508 {"j1", j1l, 2.0L,
509 5.7672119140625e-1L,
510 3.6163506233872024482422691370869203026897E-6L,
511 -6.4471624737201025549396666484619917634997E-2L, -2},
512 {"y1", y1l, 16.0L,
513 1.779632568359375e-1L,
514 1.1912103479359630601904359871915459722520E-5L,
515 8.4687549021998849415158346880737423611524E-2L, -2},
516 {"y1", y1l, 8.0L,
517 -1.580657958984375e-1L,
518 5.3341671900057444447338125164496726559505E-6L,
519 2.4327904710397215730926780877205580306573E-1L, -2},
521 3.302001953125e-2L,
522 1.3849743069803985217381731126879849266308E-5L,
523 -3.4492409134568573891858434295819796816112E-1L, -2},
524 {"y1", y1l, 4.0L,
525 3.97918701171875e-1L,
526 7.0093852250052539799724507918522711891816E-6L,
527 -1.1642216696433999321713012755985118130829E-1L, -2},
529 3.70697021484375e-1L,
530 1.4316956899693924314235987044537888863453E-5L,
531 1.9120595686950474169565105767128493632383E-1L, -2},
533 2.1490478515625e-1L,
534 2.3670532079676721084949605457501811641711E-6L,
535 3.8729005427236490240034331925211457949310E-1L, -2},
537 4.5166015625e-2L,
538 8.7239712233519705260050662298731987015100E-6L,
539 4.9900759601438865416604067629675208716502E-1L, -2},
540 {"y1", y1l, 2.0L,
541 -1.070404052734375e-1L,
542 7.9737324999531116292277225233633125191018E-6L,
543 5.6389188842021389304079197886589619161188E-1L, -2},
544 {"jnl", NULL, 6.9388939039072283776476979255676269531250E-18L,
545 6.9602982143332406209530299018670212642178E-54L,
546 2.6551531852207537950481339962774251294400E-59L,
547 3.0092655e-36L, -2},
549 {"lgamma", lgammal, 8.0L, 8.525146484375L,
550 1.4876690414300165531036347125050759667737E-5L,
552 {"lgamma", lgammal, 0.125L, 2.0194091796875E0L,
553 9.1778662963453202905211670995899482809521E-6L,
555 {"lgamma", lgammal, 0.375L, 8.63067626953125E-1L,
556 6.3553175224624050890941340154953324706293E-6L,
558 {"lgamma", lgammal, 0.625L, 3.608245849609375E-1L,
559 4.9105280026811849576858227794878573691202E-6L,
561 {"lgamma", lgammal, 0.875L, 8.5845947265625E-2L,
562 1.2759959709323502365583769487702269719126E-5L,
563 -8.0401707154769538232421854974614639758707E-1L, 4},
564 {"lgamma", lgammal, 1.0L, 0.0L,
565 0.0L, -5.7721566490153286060651209008240239144696E-1L, -4},
566 {"lgamma", lgammal, 1.125L, -6.0028076171875E-2L,
567 4.8920458354170685941567925698857217805491E-6L,
568 -3.8849266329585486780274292308634296426837E-1L, 4},
569 {"lgamma", lgammal, 1.375L, -1.17767333984375E-1L,
570 1.2063243296225548637966682011495753460784E-5L,
571 -8.7332382478472909097352552137901409325952E-2L, 4},
572 {"lgamma", lgammal, 1.625L, -1.091766357421875E-1L,
573 2.5019853921275340206546744374231564700714E-6L,
574 1.4729123542343343278921838797662273312715E-1L, 4},
575 {"lgamma", lgammal, 1.875L, -4.76837158203125E-2L,
576 1.1030421124200356021962838137727680303452E-5L,
577 3.3884007130944747481863859311099645955579E-1L, 4},
578 {"lgamma", lgammal, 2.375L, 2.0068359375E-1L,
579 1.4866627455841358885180272611091348667235E-5L,
580 6.3994034479425436362992017513482586340132E-1L, 4},
581 {"lgamma", lgammal, 2.75L, 4.752044677734375E-1L,
582 1.0199141499630313102466395428861742242065E-5L,
583 8.1890102497543259227787514194472409043081E-1L, 4},
584 {"lgamma", lgammal, 3.5L, 1.2009735107421875E0L,
585 9.1604886724816021881450712995770238915468E-8L,
587 {"lgamma", lgammal, 4.5L, 2.4537353515625E0L,
588 1.2192799422205041425034357161573318235107E-6L,
590 {"lgamma", lgammal, 5.5L, 3.9578094482421875E0L,
591 4.5193765287938774008558225909985513044920E-6L,
593 {"lgamma", lgammal, 6.5L, 5.6625518798828125E0L,
594 1.0179974329028522112312329543730297511212E-5L,
596 {"lgamma", lgammal, 7.5L, 7.53436279296875E0L,
597 1.4437899829551583676324366857670272790220E-6L,
599 {"lgamma", lgammal, 8.5L, 9.54925537109375E0L,
600 1.1886207247711737140081127222543124870800E-5L,
602 {"lgamma", lgammal, 9.5L, 1.16893310546875E1L,
603 2.3661097684825694425775421725106375736779E-6L,
605 {"lgamma", lgammal, 10.5L, 1.394061279296875E1L,
606 1.2426435013633161237887971849479799452805E-5L,
608 {"lgamma", lgammal, 11.5L, 1.62919921875E1L,
609 8.2890672413202446037468793783460085279579E-6L,
611 {"lgamma", lgammal, 12.5L, 1.8734344482421875E1L,
612 3.0295145707016341244572313978963754081384E-6L,
614 {"lgamma", lgammal, 13.5L, 2.126007080078125E1L,
615 5.3554634511414184110022255966073511107125E-6L,
617 {"lgamma", lgammal, -0.5L, 1.2655029296875E0L,
618 9.1937971453964889457971347059238991475408E-6L,
619 3.6489973978576520559023667001244459279636E-2L, 4},
620 {"lgamma", lgammal, -1.5L, 8.6004638671875E-1L,
621 6.2865773101451093268167035678732715711736E-7L,
622 7.0315664064524318722569033366791112594630E-1L, 4},
623 {"lgamma", lgammal, -2.5L, -5.6243896484375E-2L,
624 1.7998670094932740546990234571587705589745E-7L,
626 {"lgamma", lgammal, -3.5L,-1.30902099609375E0L,
627 1.4311100707953639284847917342554315471302E-5L,
632 {"tgamma", tgammal, 1.0L, 1.0L,
633 0.0L, -5.772156649015328606e-1L, 4},
634 {"tgamma", tgammal, 2.0L, 1.0L,
635 0.0L, 4.2278433509846713939e-1L, 4},
636 {"tgamma", tgammal, 3.0L, 2.0L,
637 0.0L, 1.845568670196934279L, 4},
638 {"tgamma", tgammal, 4.0L, 6.0L,
639 0.0L, 7.536706010590802836L, 4},
640 {NULL, NULL, 0.0L, 0.0L, 0.0L, 1},
661 m = 0.25L * MACHEPL * volat1 * updown;
741 if (fabsl(volat1) > 1.0L) in monotll()
784 if (fabsl(volat1) > 1.0L) in monotll()