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|
for (var i = -20; i < 20; i++)
assertNear(Math.sinh(i), (Math.exp(i) - Math.exp(-i)) / 2);
assertEq(Math.sinh(1000), Infinity);
assertEq(Math.sinh(Number.MAX_VALUE), Infinity);
assertNear(Math.sinh(1e-30), 1e-30);
assertNear(Math.sinh(1e-10), 1e-10);
var sinh_data = [
[-6.902103625349695, -497.1816406250001],
[-6.898143347143859, -495.21655273437517],
[-6.883664481302669, -488.0980224609375],
[-6.880304842490273, -486.46093750000006],
[-6.871561546509046, -482.2261962890624],
[-6.841973895837549, -468.167236328125],
[-6.836376331805493, -465.5539550781251],
[-6.833654100575195, -464.2883300781251],
[-6.8320816635009045, -463.55883789062483],
[-6.8108680173663085, -453.82861328125],
[-6.799689165151487, -448.78356933593756],
[-6.793579326246197, -446.0499267578126],
[-6.762510387544996, -432.4046630859374],
[-6.743225720989222, -424.14575195312506],
[-6.691758395994307, -402.86828613281244],
[-6.690743430063694, -402.4595947265625],
[-6.6596501292114505, -390.1383056640624],
[-6.652956360641761, -387.5355224609375],
[-6.635954365364267, -381.00231933593767],
[-6.619587562578274, -374.81726074218744],
[-6.617681179427804, -374.10339355468744],
[-6.614762741096185, -373.0131835937501],
[-6.60690568753706, -370.0938720703124],
[-6.591738907156094, -364.5230712890626],
[-6.583066984213974, -361.3756103515625],
[-6.573999516974134, -358.1136474609374],
[-6.553610904389896, -350.8861083984376],
[-6.553097634736138, -350.7060546875001],
[-6.538320325468202, -345.56164550781267],
[-6.529090881007076, -342.386962890625],
[-6.527791927233787, -341.94250488281256],
[-6.514383886150781, -337.38830566406244],
[-6.488639771044976, -328.8133544921875],
[-6.480460592697477, -326.13488769531256],
[-6.439759999015992, -313.1274414062499],
[-6.434927968512049, -311.61804199218744],
[-6.4082177348965725, -303.4047851562501],
[-6.369671035834965, -291.93200683593756],
[-6.362310184909175, -289.79101562500006],
[-6.356373428913315, -288.0756835937499],
[-6.337756593913614, -282.76220703125006],
[-6.32424009706147, -278.96594238281256],
[-6.314232650754295, -276.18811035156256],
[-6.290994606392703, -269.8439941406249],
[-6.240182555852785, -256.4750976562499],
[-6.2102675039793604, -248.9161987304687],
[-6.197335184435549, -245.71783447265628],
[-6.194021350132335, -244.90490722656253],
[-6.184119163536406, -242.4917602539062],
[-6.104686221071835, -223.97491455078116],
[-6.100669325836893, -223.07702636718747],
[-6.093582856519022, -221.50177001953122],
[-6.0598807500687935, -214.16101074218741],
[-6.0062142965262515, -202.97058105468741],
[-5.9923121073369945, -200.1683349609375],
[-5.981859446096083, -198.08691406249997],
[-5.9497792165852905, -191.83300781250006],
[-5.90509449745879, -183.44958496093747],
[-5.902097012275789, -182.90051269531256],
[-5.8144483910067954, -167.55175781250006],
[-5.786154254111214, -162.8773803710938],
[-5.765917008989405, -159.61425781250006],
[-5.703902219845274, -150.0162963867188],
[-5.6926689504460395, -148.34051513671872],
[-5.685206387751923, -147.23760986328122],
[-5.660572815631807, -143.6548461914062],
[-5.625516713960633, -138.70599365234375],
[-5.476934234171879, -119.55416870117192],
[-5.467584665632571, -118.4415588378906],
[-5.417932675603434, -112.70410156250004],
[-5.406565756574079, -111.43020629882811],
[-5.373195678988387, -107.77297973632808],
[-5.3723285712183735, -107.67956542968749],
[-5.348004040102253, -105.09179687499999],
[-5.31087758970896, -101.261474609375],
[-5.255348419702703, -95.79150390624997],
[-5.206986845736275, -91.26885986328122],
[-5.162914035396619, -87.33349609375003],
[-5.052952927749896, -78.23873901367186],
[-5.048772883924985, -77.91235351562501],
[-5.034848487644809, -76.83489990234378],
[-4.808269821238499, -61.25564575195312],
[-4.689849459883311, -54.413803100585945],
[-4.476720236388958, -43.96719360351561],
[-4.431216695067421, -42.01084899902342],
[-4.114720236218123, -30.60937499999999],
[-3.9785790831656023, -26.711166381835938],
[-3.9220215830953484, -25.24131774902344],
[-3.3770026324620295, -14.624359130859379],
[-3.214961448471211, -12.431087493896483],
[-3.021397455139021, -10.235607147216797],
[-2.937831931335705, -9.41094970703125],
[-1.267878515574959, -1.6359391212463381],
[1.6504814008555524e-12, 1.6504814008555524e-12],
[2.0654207510961697e-12, 2.0654207510961697e-12],
[6.933230031758164e-12, 6.933230031758164e-12],
[1.3351444949627478e-11, 1.3351444949627478e-11],
[1.6399812063916386e-11, 1.6399812063916386e-11],
[5.730159402528301e-11, 5.730159402528301e-11],
[1.113731329382972e-10, 1.113731329382972e-10],
[1.4214707189097453e-10, 1.4214707189097453e-10],
[3.8006320313144215e-10, 3.8006320313144215e-10],
[6.09162720266454e-10, 6.09162720266454e-10],
[1.0221641311147778e-9, 1.0221641311147778e-9],
[2.8819222563924995e-9, 2.8819222563924995e-9],
[4.7627768395841485e-9, 4.7627768395841485e-9],
[8.854133426439148e-9, 8.854133426439148e-9],
[2.305032609228874e-8, 2.3050326092288742e-8],
[5.939249092534734e-8, 5.9392490925347374e-8],
[1.1667648891489053e-7, 1.166764889148908e-7],
[2.379967440901942e-7, 2.3799674409019644e-7],
[4.6846594159431437e-7, 4.684659415943315e-7],
[9.382699772685088e-7, 9.382699772686465e-7],
[0.0000011039855962733358, 0.00000110398559627356],
[0.000003291776010877096, 0.0000032917760108830407],
[0.000007517213816683722, 0.00000751721381675452],
[0.000015114666893502755, 0.000015114666894078255],
[0.00002986399339999406, 0.00002986399340443313],
[0.000033870281179478836, 0.00003387028118595481],
[0.00009066011977069884, 0.00009066011989489198],
[0.00021949532498377364, 0.00021949532674625516],
[0.00043952149320897676, 0.00043952150736004114],
[0.0006333151408864353, 0.0006333151832222939],
[0.0011151230445582744, 0.001115123275667429],
[0.0019624658370807177, 0.001962467096745968],
[0.005553725496786973, 0.005553754046559334],
[0.008691018931968294, 0.008691128343343735],
[0.02992889492062484, 0.02993336319923401],
[0.05122020579778827, 0.05124260485172272],
[0.1117800293787828, 0.11201295256614685],
[0.23269806521543376, 0.23480379581451416],
[0.4721357117742938, 0.4898730516433716],
[0.694611571189336, 0.7518312931060792],
[1.2781607348262256, 1.6557407379150393],
[1.9917262343245115, 3.5958566665649414],
[2.009484184971722, 3.6627054214477544],
[2.128787712416205, 4.142845153808595],
[2.4846967934155475, 5.95706558227539],
[3.083125584533294, 10.890350341796875],
[4.002981567623351, 27.3714599609375],
[4.080736210902826, 29.586067199707028],
[4.120845430011113, 30.79753875732421],
[4.351258506393416, 38.78157043457031],
[4.540883728536112, 46.88148498535155],
[4.547981853382592, 47.21551513671875],
[4.5480891170767, 47.220581054687514],
[4.599728302509061, 49.72361755371096],
[4.8131842711857535, 61.557464599609396],
[4.910082619934558, 67.82162475585939],
[4.924747230639767, 68.82363891601564],
[4.993937439635391, 73.75466918945312],
[5.087099712053554, 80.95669555664065],
[5.1389346970196295, 85.26406860351562],
[5.138977285472121, 85.26770019531251],
[5.223879832616765, 92.82385253906247],
[5.241812789460327, 94.50357055664062],
[5.447141014648796, 116.04467773437499],
[5.511633288238573, 123.77554321289061],
[5.578681289305598, 132.3592529296875],
[5.633110296634631, 139.76330566406253],
[5.662701238627725, 143.96093750000003],
[5.678906941005323, 146.31298828124997],
[5.737214893086866, 155.0980224609375],
[5.739660763047893, 155.4778442382812],
[5.741349685869528, 155.74066162109372],
[5.790614371552514, 163.60546874999994],
[5.879059869096351, 178.73510742187494],
[5.884458728291027, 179.70269775390622],
[5.885109945587401, 179.8197631835937],
[5.893636014368936, 181.35949707031256],
[5.965274032538233, 194.82861328125003],
[5.967346683696556, 195.23284912109375],
[5.986843466070591, 199.07666015624994],
[6.019932686217942, 205.77423095703134],
[6.021252909681261, 206.0460815429687],
[6.037231102920489, 209.36480712890634],
[6.043606439928324, 210.70385742187506],
[6.06478541011501, 215.21398925781244],
[6.112974120371601, 225.83892822265622],
[6.117902255760311, 226.95465087890622],
[6.1433256889594094, 232.79864501953136],
[6.176483527820343, 240.64721679687503],
[6.186757751007361, 243.13244628906241],
[6.219667373726848, 251.26702880859372],
[6.229418088083555, 253.72906494140634],
[6.233184983047428, 254.68664550781241],
[6.243005711460192, 257.20019531250006],
[6.245102704489327, 257.74011230468744],
[6.260468857392134, 261.73120117187506],
[6.268152459140511, 263.74999999999994],
[6.2748285545831655, 265.5167236328125],
[6.305976070434008, 273.9171142578125],
[6.32399546069982, 278.8977050781249],
[6.324961403980197, 279.16723632812506],
[6.370613506132747, 292.20727539062494],
[6.375359978930309, 293.59753417968744],
[6.3766447200146, 293.9749755859376],
[6.380802563199264, 295.19982910156244],
[6.387824152942429, 297.27990722656244],
[6.390003820200831, 297.9285888671876],
[6.3905985680679, 298.10583496093744],
[6.397866642974941, 300.2803955078125],
[6.421725738171608, 307.5310058593751],
[6.423818963102848, 308.17541503906244],
[6.428865255911759, 309.7344970703124],
[6.443449261058927, 314.28479003906244],
[6.444844602076255, 314.7236328125],
[6.464094341970107, 320.84069824218756],
[6.465356699668166, 321.24597167968744],
[6.467400466944125, 321.90319824218756],
[6.472218114936839, 323.457763671875],
[6.4947499213823265, 330.8286132812501],
[6.507305446835735, 335.00854492187483],
[6.524202033435675, 340.71716308593756],
[6.546694993078936, 348.46777343749994],
[6.548591493378012, 349.1292724609374],
[6.613194950203132, 372.4288330078126],
[6.6247505436339065, 376.7574462890626],
[6.629181796246806, 378.43066406249994],
[6.6616087711302185, 390.9031982421874],
[6.698989091751707, 405.79187011718744],
[6.702857353572475, 407.3646240234375],
[6.717505881986416, 413.37585449218756],
[6.723197804327891, 415.73547363281256],
[6.726699007993023, 417.1936035156251],
[6.735483889307782, 420.87475585937483],
[6.755219602793124, 429.26354980468756],
[6.756366380816258, 429.75610351562506],
[6.766177290841293, 433.99316406250006],
[6.766217511883346, 434.01062011718767],
[6.780091308338912, 440.0739746093749],
[6.802889310303153, 450.22204589843744],
[6.813484439494547, 455.017578125],
[6.818196843455478, 457.16687011718744],
[6.818940201487998, 457.50683593749994],
[6.822833193143805, 459.29138183593756],
[6.82327083544577, 459.49243164062506],
[6.823817951018, 459.743896484375],
[6.834945773756887, 464.8884277343749],
[6.835113285253827, 464.96630859375017],
[6.840964582694129, 467.6949462890624],
[6.84346890521034, 468.86767578125017],
[6.847141429556457, 470.5927734375002],
[6.869243403190376, 481.10961914062483],
[6.882355637062964, 487.4595947265624],
[6.884531678915821, 488.5214843750001],
[6.89341643293734, 492.8812255859376],
[6.895822338701104, 494.06848144531233],
[6.900653737167637, 496.46130371093733],
[7.2670429692740965, 716.1540527343751],
[8.188647968122073, 1799.925781250001],
[8.872023251113289, 3564.8457031250014],
[9.566596912986167, 7139.869140625004],
[10.092554861905608, 12081.222656249996],
[10.728112113864427, 22810.24218749999],
[11.442480870715618, 46598.96875000003],
[12.28759157077177, 108493.37500000009],
[12.636950838344218, 153860.81249999988],
[13.327813723030063, 307019.4999999998],
[14.126778167009777, 682577.25],
[15.090269265334971, 1788919.000000001],
[15.835512291283944, 3769169],
[15.973721689554742, 4327820.000000002],
[16.910547205715446, 11044023.999999983],
[17.573132558903225, 21423208.000000004],
[18.649063156437965, 62828288.00000006],
[18.760110887365155, 70207360.00000012],
[19.547111966180875, 154231424.00000012],
[20.193967491567523, 294509055.9999997],
[21.484592263156223, 1070557183.9999999],
[22.088297141021556, 1957922816.0000024],
[22.780591462699917, 3912507392.0000005],
[23.401438520318692, 7279233024.000007],
[23.684949498080787, 9665245184.000017],
[24.5355829820426, 22627590144.000004],
[25.520740767599584, 60601991168.00004],
[26.31438890085422, 134018236416.00002],
[26.73876398039979, 204864946175.99973],
[27.06660583008718, 284346286080.00024],
[28.234874284944635, 914576637951.9989],
[28.78280496108106, 1581915832319.9973]
];
for (var [x, y] of sinh_data)
assertNear(Math.sinh(x), y);
reportCompare(0, 0, "ok");
|
