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|
assertEq(Math.cosh(1000), Infinity);
assertEq(Math.cosh(Number.MAX_VALUE), Infinity);
assertNear(Math.cosh(1e-30), 1);
assertNear(Math.cosh(1e-10), 1);
var cosh_data = [
[0.0016914556651292944, 1.0000014305114746],
[0.001953124689559275, 1.0000019073486328],
[0.003782208044661295, 1.000007152557373],
[0.005258943946801101, 1.000013828277588],
[0.005859366618129203, 1.0000171661376953],
[0.010961831992188852, 1.0000600814819336],
[0.015285472131830425, 1.0001168251037598],
[0.017249319093529877, 1.0001487731933594],
[0.028218171738655373, 1.0003981590270996],
[0.03573281468231457, 1.000638484954834],
[0.046287402472878776, 1.0010714530944824],
[0.07771996527168971, 1.0030217170715332],
[0.0998975930860278, 1.0049939155578613],
[0.13615938768032465, 1.0092840194702148],
[0.21942279004958354, 1.024169921875],
[0.3511165938166055, 1.0622773170471191],
[0.48975026711288183, 1.1223440170288086],
[0.692556883708491, 1.2495574951171875],
[0.954530572221414, 1.4912219047546387],
[1.307581416910453, 1.983847141265869],
[1.4035188779741334, 2.1576128005981445],
[1.5250070845427517, 2.406397819519043],
[1.8905372013072799, 3.386958122253418],
[2.1735673399948254, 4.451677322387695],
[2.625091127868242, 6.939132690429686],
[2.737434918695162, 7.756023406982421],
[2.8740317167801948, 8.88236999511719],
[2.97998639328949, 9.869171142578123],
[3.516549380542481, 16.848876953125],
[3.51867003468025, 16.884582519531254],
[3.593185165198829, 18.18859100341797],
[3.6273672142963385, 18.82012176513672],
[3.646553244410946, 19.184181213378906],
[3.872413451393967, 24.03952026367187],
[3.972085568933329, 26.556991577148434],
[4.022209178119238, 27.921104431152337],
[4.168428891496629, 32.31466674804686],
[4.240546229861005, 34.730087280273445],
[4.290698214968891, 36.51556396484376],
[4.352722738491574, 38.851287841796875],
[4.594386162629449, 49.46875],
[4.598500387004538, 49.67265319824219],
[4.7152173401856095, 55.821014404296896],
[4.73822104001982, 57.119781494140604],
[4.793733825338029, 60.37983703613279],
[4.8435923769530165, 63.46618652343747],
[4.849190310904695, 63.82241821289062],
[4.85767897228448, 64.36642456054685],
[4.880061548144127, 65.82318115234375],
[4.921430721025434, 68.60302734374997],
[4.94406835208057, 70.17358398437497],
[4.967000841791218, 71.80126953124997],
[5.016014824864732, 75.40786743164065],
[5.017205657609766, 75.49771118164062],
[5.0506448716550825, 78.06475830078126],
[5.0707363201405276, 79.64892578125],
[5.073517411135063, 79.87072753906253],
[5.101574796209937, 82.14324951171874],
[5.152357710985635, 86.4221496582031],
[5.167705692500117, 87.75869750976562],
[5.2390637098028074, 94.24942016601562],
[5.247023676519904, 95.00259399414062],
[5.258134994273664, 96.06402587890626],
[5.289261389093961, 99.10101318359374],
[5.345425863147171, 104.82595825195315],
[5.3555664787245885, 105.89431762695308],
[5.363617180711895, 106.750244140625],
[5.388152468690488, 109.40167236328122],
[5.405320225963013, 111.2959899902344],
[5.417698597745429, 112.68215942382815],
[5.445406415908933, 115.8478698730469],
[5.501396249028249, 122.51895141601562],
[5.531718947357248, 126.29083251953128],
[5.544277233951787, 127.88677978515626],
[5.547444176085567, 128.29241943359372],
[5.556786759298988, 129.49658203125006],
[5.625710723366437, 138.7365112304687],
[5.628934733085022, 139.18450927734378],
[5.634566685055491, 139.97058105468747],
[5.660401141376928, 143.63366699218747],
[5.698541939965668, 149.21765136718753],
[5.7078698961812995, 150.6160278320313],
[5.714741890601693, 151.6546020507813],
[5.735111323217677, 154.77532958984378],
[5.761781191641161, 158.95861816406253],
[5.763503378028959, 159.23260498046878],
[5.810483079631769, 166.89166259765622],
[5.824362807770767, 169.22418212890625],
[5.833939098607025, 170.85247802734372],
[5.861586030831371, 175.64184570312503],
[5.866335876872544, 176.47808837890625],
[5.869449614294116, 177.02844238281247],
[5.879497954012966, 178.81622314453122],
[5.893213844044451, 181.28570556640625],
[5.944588630523773, 190.84246826171866],
[5.947493525920713, 191.39764404296875],
[5.962341215900494, 194.26062011718753],
[5.9656082276276, 194.89630126953122],
[5.9749284849312865, 196.7212524414062],
[5.975165500176202, 196.76788330078128],
[5.981706804024238, 198.05920410156241],
[5.991310884439669, 199.9705200195312],
[6.004868209578554, 202.70001220703122],
[6.0159406892865155, 204.95684814453116],
[6.025476453825986, 206.92059326171866],
[6.047172064627678, 211.45886230468741],
[6.0479418642231595, 211.62170410156256],
[6.050479329955437, 212.1593627929687],
[6.086466833749719, 219.93341064453125],
[6.101870903204913, 223.3474731445312],
[6.1249427443985525, 228.56036376953128],
[6.129204755426344, 229.53656005859375],
[6.136241935513706, 231.1575317382813],
[6.153688953514383, 235.22589111328134],
[6.1619244798633215, 237.17108154296884],
[6.165012268502458, 237.90454101562506],
[6.187036941752032, 243.202392578125],
[6.191527178125454, 244.29687500000003],
[6.196001570568187, 245.3923950195312],
[6.197677082130341, 245.80389404296875],
[6.2133379061260285, 249.68365478515622],
[6.223871642756905, 252.3276367187501],
[6.228398760115369, 253.47253417968756],
[6.269692237869835, 264.1583251953126],
[6.276143287577458, 265.8679199218749],
[6.305884283737176, 273.89379882812494],
[6.306492908028797, 274.0605468750001],
[6.3065018163217115, 274.06298828125006],
[6.31104892482331, 275.3120117187501],
[6.3322712125431915, 281.2171630859374],
[6.343324976847916, 284.34289550781244],
[6.345081883725142, 284.84289550781256],
[6.353683609448096, 287.30358886718756],
[6.366114643735997, 290.8973388671876],
[6.373476431987165, 293.0467529296875],
[6.3734826803404045, 293.04858398437494],
[6.3862671775996915, 296.819091796875],
[6.389086936901673, 297.6572265625],
[6.424562459508495, 308.4062500000001],
[6.4506171773701535, 316.5472412109376],
[6.462221144761522, 320.24182128906256],
[6.468740575092418, 322.33642578125],
[6.472375224718483, 323.5101318359374],
[6.485834999462654, 327.8939208984375],
[6.486412623146554, 328.08337402343744],
[6.486812521370483, 328.214599609375],
[6.498698952535687, 332.1391601562501],
[6.521175044233963, 339.6888427734376],
[6.522595306993373, 340.171630859375],
[6.522766822935215, 340.2299804687499],
[6.52502285413445, 340.99841308593744],
[6.5445411825986985, 347.7194824218749],
[6.5451209675856825, 347.9211425781249],
[6.55061885367159, 349.8392333984375],
[6.560126626713879, 353.1812744140626],
[6.560510895819139, 353.31701660156244],
[6.565186990039135, 354.97302246093756],
[6.567067660815945, 355.64123535156233],
[6.588081320423386, 363.19360351562517],
[6.5896131163651415, 363.7503662109376],
[6.597598047275183, 366.66650390624983],
[6.608222493065004, 370.5828857421874],
[6.611563301604297, 371.822998046875],
[6.622421213257873, 375.88220214843756],
[6.625684248051368, 377.11071777343744],
[6.626950731244344, 377.58862304687483],
[6.630267034079059, 378.8428955078124],
[6.630977920761718, 379.11230468749994],
[6.636217452968849, 381.10388183593756],
[6.638857149899159, 382.1112060546874],
[6.641161660644278, 382.9927978515625],
[6.652047018118426, 387.1845703124999],
[6.658445560711748, 389.66992187499994],
[6.658790721334144, 389.8044433593749],
[6.675345858154136, 396.3114013671875],
[6.677094789236718, 397.00512695312494],
[6.6775691166680895, 397.1934814453124],
[6.679106750673113, 397.80468749999994],
[6.681712590609845, 398.84265136718744],
[6.682523938576487, 399.16638183593744],
[6.68274532345516, 399.2547607421874],
[6.685459416477178, 400.3398437499999],
[6.694456277839498, 403.9578857421875],
[6.6952522228540765, 404.27954101562517],
[6.6971746771142415, 405.05749511718744],
[6.702764738337774, 407.328125],
[6.7033022311799595, 407.54711914062506],
[6.710763953621196, 410.59948730468756],
[6.711256159037373, 410.8016357421876],
[6.712054288828399, 411.12963867187494],
[6.713939407502346, 411.9053955078124],
[6.722828986708716, 415.5833740234374],
[6.727835453862132, 417.66918945312506],
[6.734632628835641, 420.51782226562506],
[6.743787740494532, 424.38537597656233],
[6.744565219553757, 424.71545410156244],
[6.7715720212680655, 436.3419189453125],
[6.776510146304201, 438.50195312500017],
[6.778412462065226, 439.33691406250017],
[6.79247934060035, 445.5606689453126],
[6.809016260337229, 452.9901123046875],
[6.810747231716348, 453.7749023437499],
[6.817335895109251, 456.7745361328125],
[6.819910421197311, 457.9520263671875],
[6.821497844004013, 458.6795654296874],
[6.8254946428721475, 460.51647949218767],
[6.828433164406687, 461.87170410156256],
[6.834543470287694, 464.70251464843756],
[6.839609377592375, 467.06262207031267],
[6.839627933844213, 467.0712890625001],
[6.846084943645239, 470.09692382812494],
[6.856799276049143, 475.16076660156233],
[6.861822721577315, 477.5537109374998],
[6.864066049482581, 478.62622070312517],
[6.864420497333681, 478.79589843750017],
[6.866278653973069, 479.68640136718733],
[6.866487814627139, 479.7867431640625],
[6.8667493311188395, 479.9122314453126],
[6.872084270243208, 482.4793701171875],
[6.872164723177875, 482.5181884765627],
[6.874982560453874, 483.87976074218767],
[6.876191234145179, 484.46496582031233],
[6.877966548833207, 485.3258056640624],
[6.888721726428236, 490.57373046875006],
[6.89515989558997, 493.74230957031244],
[6.896232568812718, 494.2722167968751],
[6.900624415355815, 496.44775390624983],
[6.901816998553275, 497.0401611328125],
[6.9042162822876465, 498.23413085937483],
[7.193052598670793, 665.0791015625001],
[7.758155143419732, 1170.29150390625],
[8.323023697145112, 2058.795898437501],
[9.36298131161099, 5824.533203125004],
[9.810748008110926, 9114.308593750004],
[11.047341056314202, 31388.40624999998],
[11.584925435512535, 53732.765624999956],
[12.366958539207397, 117455.0937500001],
[13.107089828327874, 246210.62499999983],
[13.84248373881162, 513670.1250000003],
[14.27084873575108, 788353.2499999999],
[15.060339852215408, 1736170.999999999],
[15.835873313657556, 3770530.0000000005],
[15.977474039173265, 4344089.999999998],
[16.943967899150145, 11419360.000000006],
[17.943394339560967, 31023239.99999997],
[18.214035936745432, 40665424.00000006],
[19.374560581709215, 129788063.99999991],
[19.927723623778547, 225668224.00000027],
[20.619308638400597, 450631936.0000006],
[21.129986093026698, 750941952.0000008],
[22.05159150215413, 1887358976.0000033],
[22.734966842639743, 3738011648.0000052],
[23.42954051928097, 7486695423.99999],
[23.955498471391667, 12668080127.99998],
[24.591055724582848, 23918272512],
[25.305424481799395, 48862560256.00005],
[26.150535181949436, 113763549183.99998],
[26.499894449532565, 161334755328.00018],
[27.19075733422632, 321933279232.0004],
[27.989721778208146, 715734122496],
[28.953212876533797, 1875817529343.9976],
];
for (var [x, y] of cosh_data)
assertNear(Math.cosh(x), y);
for (var i = -20; i < 20; i++)
assertNear(Math.cosh(i), (Math.exp(i) + Math.exp(-i)) / 2);
reportCompare(0, 0, "ok");
|
