| var sloppy_tolerance = 100; |
| for (var i = -20; i < 20; i++) |
| assertNear(Math.sinh(i), (Math.exp(i) - Math.exp(-i)) / 2, sloppy_tolerance); |
| |
| assertEq(Math.sinh(1000), Infinity); |
| assertEq(Math.sinh(Number.MAX_VALUE), Infinity); |
| assertNear(Math.sinh(1e-30), 1e-30, sloppy_tolerance); |
| assertNear(Math.sinh(1e-10), 1e-10, sloppy_tolerance); |
| |
| 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, sloppy_tolerance); |
| |
| reportCompare(0, 0, "ok"); |
| |
