js/src/tests/ecma_6/Math/acosh-approx.js

Wed, 31 Dec 2014 06:09:35 +0100

author
Michael Schloh von Bennewitz <michael@schloh.com>
date
Wed, 31 Dec 2014 06:09:35 +0100
changeset 0
6474c204b198
permissions
-rw-r--r--

Cloned upstream origin tor-browser at tor-browser-31.3.0esr-4.5-1-build1
revision ID fc1c9ff7c1b2defdbc039f12214767608f46423f for hacking purpose.

     1 var cosh_data = [
     2     [1.0000014305114746, 0.0016914556651292944],
     3     [1.0000019073486328, 0.001953124689559275],
     4     [1.000007152557373, 0.003782208044661295],
     5     [1.000013828277588, 0.005258943946801101],
     6     [1.0000171661376953, 0.005859366618129203],
     7     [1.0000600814819336, 0.010961831992188852],
     8     [1.0001168251037598, 0.015285472131830425],
     9     [1.0001487731933594, 0.017249319093529877],
    10     [1.0003981590270996, 0.028218171738655373],
    11     [1.000638484954834, 0.03573281468231457],
    12     [1.0010714530944824, 0.046287402472878776],
    13     [1.0030217170715332, 0.07771996527168971],
    14     [1.0049939155578613, 0.0998975930860278],
    15     [1.0092840194702148, 0.13615938768032465],
    16     [1.024169921875, 0.21942279004958354],
    17     [1.0622773170471191, 0.3511165938166055],
    18     [1.1223440170288086, 0.48975026711288183],
    19     [1.2495574951171875, 0.692556883708491],
    20     [1.4912219047546387, 0.954530572221414],
    21     [1.9838471412658691, 1.307581416910453],
    22     [2.1576128005981445, 1.4035188779741334],
    23     [2.406397819519043, 1.5250070845427517],
    24     [3.386958122253418, 1.8905372013072799],
    25     [4.451677322387695, 2.1735673399948254],
    26     [6.9391326904296875, 2.625091127868242],
    27     [7.756023406982422, 2.737434918695162],
    28     [8.882369995117188, 2.8740317167801948],
    29     [9.869171142578125, 2.97998639328949],
    30     [16.848876953125, 3.516549380542481],
    31     [16.88458251953125, 3.51867003468025],
    32     [18.18859100341797, 3.593185165198829],
    33     [18.82012176513672, 3.6273672142963385],
    34     [19.184181213378906, 3.646553244410946],
    35     [24.039520263671875, 3.872413451393967],
    36     [26.556991577148438, 3.972085568933329],
    37     [27.921104431152344, 4.022209178119238],
    38     [32.314666748046875, 4.168428891496629],
    39     [34.73008728027344, 4.240546229861005],
    40     [36.51556396484375, 4.290698214968891],
    41     [38.851287841796875, 4.352722738491574],
    42     [49.46875, 4.594386162629449],
    43     [49.67265319824219, 4.598500387004538],
    44     [55.821014404296875, 4.7152173401856095],
    45     [57.119781494140625, 4.73822104001982],
    46     [60.37983703613281, 4.793733825338029],
    47     [63.4661865234375, 4.8435923769530165],
    48     [63.822418212890625, 4.849190310904695],
    49     [64.36642456054688, 4.85767897228448],
    50     [65.82318115234375, 4.880061548144127],
    51     [68.60302734375, 4.921430721025434],
    52     [70.173583984375, 4.94406835208057],
    53     [71.80126953125, 4.967000841791218],
    54     [75.40786743164062, 5.016014824864732],
    55     [75.49771118164062, 5.017205657609766],
    56     [78.06475830078125, 5.0506448716550825],
    57     [79.64892578125, 5.0707363201405276],
    58     [79.8707275390625, 5.073517411135063],
    59     [82.14324951171875, 5.101574796209937],
    60     [86.42214965820312, 5.152357710985635],
    61     [87.75869750976562, 5.167705692500117],
    62     [94.24942016601562, 5.2390637098028074],
    63     [95.00259399414062, 5.247023676519904],
    64     [96.06402587890625, 5.258134994273664],
    65     [99.10101318359375, 5.289261389093961],
    66     [104.82595825195312, 5.345425863147171],
    67     [105.89431762695312, 5.3555664787245885],
    68     [106.750244140625, 5.363617180711895],
    69     [109.40167236328125, 5.388152468690488],
    70     [111.29598999023438, 5.405320225963013],
    71     [112.68215942382812, 5.417698597745429],
    72     [115.84786987304688, 5.445406415908933],
    73     [122.51895141601562, 5.501396249028249],
    74     [126.29083251953125, 5.531718947357248],
    75     [127.88677978515625, 5.544277233951787],
    76     [128.29241943359375, 5.547444176085567],
    77     [129.49658203125, 5.556786759298988],
    78     [138.73651123046875, 5.625710723366437],
    79     [139.18450927734375, 5.628934733085022],
    80     [139.9705810546875, 5.634566685055491],
    81     [143.6336669921875, 5.660401141376928],
    82     [149.2176513671875, 5.698541939965668],
    83     [150.61602783203125, 5.7078698961812995],
    84     [151.65460205078125, 5.714741890601693],
    85     [154.77532958984375, 5.735111323217677],
    86     [158.9586181640625, 5.761781191641161],
    87     [159.23260498046875, 5.763503378028959],
    88     [166.89166259765625, 5.810483079631769],
    89     [169.22418212890625, 5.824362807770767],
    90     [170.85247802734375, 5.833939098607025],
    91     [175.641845703125, 5.861586030831371],
    92     [176.47808837890625, 5.866335876872544],
    93     [177.0284423828125, 5.869449614294116],
    94     [178.81622314453125, 5.879497954012966],
    95     [181.28570556640625, 5.893213844044451],
    96     [190.84246826171875, 5.944588630523773],
    97     [191.39764404296875, 5.947493525920713],
    98     [194.2606201171875, 5.962341215900494],
    99     [194.89630126953125, 5.9656082276276],
   100     [196.72125244140625, 5.9749284849312865],
   101     [196.76788330078125, 5.975165500176202],
   102     [198.0592041015625, 5.981706804024238],
   103     [199.97052001953125, 5.991310884439669],
   104     [202.70001220703125, 6.004868209578554],
   105     [204.95684814453125, 6.0159406892865155],
   106     [206.92059326171875, 6.025476453825986],
   107     [211.4588623046875, 6.047172064627678],
   108     [211.6217041015625, 6.0479418642231595],
   109     [212.15936279296875, 6.050479329955437],
   110     [219.93341064453125, 6.086466833749719],
   111     [223.34747314453125, 6.101870903204913],
   112     [228.56036376953125, 6.1249427443985525],
   113     [229.53656005859375, 6.129204755426344],
   114     [231.15753173828125, 6.136241935513706],
   115     [235.22589111328125, 6.153688953514383],
   116     [237.17108154296875, 6.1619244798633215],
   117     [237.904541015625, 6.165012268502458],
   118     [243.202392578125, 6.187036941752032],
   119     [244.296875, 6.191527178125454],
   120     [245.39239501953125, 6.196001570568187],
   121     [245.80389404296875, 6.197677082130341],
   122     [249.68365478515625, 6.2133379061260285],
   123     [252.32763671875, 6.223871642756905],
   124     [253.4725341796875, 6.228398760115369],
   125     [264.1583251953125, 6.269692237869835],
   126     [265.867919921875, 6.276143287577458],
   127     [273.893798828125, 6.305884283737176],
   128     [274.060546875, 6.306492908028797],
   129     [274.06298828125, 6.3065018163217115],
   130     [275.31201171875, 6.31104892482331],
   131     [281.2171630859375, 6.3322712125431915],
   132     [284.3428955078125, 6.343324976847916],
   133     [284.8428955078125, 6.345081883725142],
   134     [287.3035888671875, 6.353683609448096],
   135     [290.8973388671875, 6.366114643735997],
   136     [293.0467529296875, 6.373476431987165],
   137     [293.048583984375, 6.3734826803404045],
   138     [296.819091796875, 6.3862671775996915],
   139     [297.6572265625, 6.389086936901673],
   140     [308.40625, 6.424562459508495],
   141     [316.5472412109375, 6.4506171773701535],
   142     [320.2418212890625, 6.462221144761522],
   143     [322.33642578125, 6.468740575092418],
   144     [323.5101318359375, 6.472375224718483],
   145     [327.8939208984375, 6.485834999462654],
   146     [328.0833740234375, 6.486412623146554],
   147     [328.214599609375, 6.486812521370483],
   148     [332.13916015625, 6.498698952535687],
   149     [339.6888427734375, 6.521175044233963],
   150     [340.171630859375, 6.522595306993373],
   151     [340.22998046875, 6.522766822935215],
   152     [340.9984130859375, 6.52502285413445],
   153     [347.719482421875, 6.5445411825986985],
   154     [347.921142578125, 6.5451209675856825],
   155     [349.8392333984375, 6.55061885367159],
   156     [353.1812744140625, 6.560126626713879],
   157     [353.3170166015625, 6.560510895819139],
   158     [354.9730224609375, 6.565186990039135],
   159     [355.6412353515625, 6.567067660815945],
   160     [363.193603515625, 6.588081320423386],
   161     [363.7503662109375, 6.5896131163651415],
   162     [366.66650390625, 6.597598047275183],
   163     [370.5828857421875, 6.608222493065004],
   164     [371.822998046875, 6.611563301604297],
   165     [375.8822021484375, 6.622421213257873],
   166     [377.1107177734375, 6.625684248051368],
   167     [377.588623046875, 6.626950731244344],
   168     [378.8428955078125, 6.630267034079059],
   169     [379.1123046875, 6.630977920761718],
   170     [381.1038818359375, 6.636217452968849],
   171     [382.1112060546875, 6.638857149899159],
   172     [382.9927978515625, 6.641161660644278],
   173     [387.1845703125, 6.652047018118426],
   174     [389.669921875, 6.658445560711748],
   175     [389.804443359375, 6.658790721334144],
   176     [396.3114013671875, 6.675345858154136],
   177     [397.005126953125, 6.677094789236718],
   178     [397.1934814453125, 6.6775691166680895],
   179     [397.8046875, 6.679106750673113],
   180     [398.8426513671875, 6.681712590609845],
   181     [399.1663818359375, 6.682523938576487],
   182     [399.2547607421875, 6.68274532345516],
   183     [400.33984375, 6.685459416477178],
   184     [403.9578857421875, 6.694456277839498],
   185     [404.279541015625, 6.6952522228540765],
   186     [405.0574951171875, 6.6971746771142415],
   187     [407.328125, 6.702764738337774],
   188     [407.547119140625, 6.7033022311799595],
   189     [410.5994873046875, 6.710763953621196],
   190     [410.8016357421875, 6.711256159037373],
   191     [411.129638671875, 6.712054288828399],
   192     [411.9053955078125, 6.713939407502346],
   193     [415.5833740234375, 6.722828986708716],
   194     [417.669189453125, 6.727835453862132],
   195     [420.517822265625, 6.734632628835641],
   196     [424.3853759765625, 6.743787740494532],
   197     [424.7154541015625, 6.744565219553757],
   198     [436.3419189453125, 6.7715720212680655],
   199     [438.501953125, 6.776510146304201],
   200     [439.3369140625, 6.778412462065226],
   201     [445.5606689453125, 6.79247934060035],
   202     [452.9901123046875, 6.809016260337229],
   203     [453.77490234375, 6.810747231716348],
   204     [456.7745361328125, 6.817335895109251],
   205     [457.9520263671875, 6.819910421197311],
   206     [458.6795654296875, 6.821497844004013],
   207     [460.5164794921875, 6.8254946428721475],
   208     [461.8717041015625, 6.828433164406687],
   209     [464.7025146484375, 6.834543470287694],
   210     [467.0626220703125, 6.839609377592375],
   211     [467.0712890625, 6.839627933844213],
   212     [470.096923828125, 6.846084943645239],
   213     [475.1607666015625, 6.856799276049143],
   214     [477.5537109375, 6.861822721577315],
   215     [478.626220703125, 6.864066049482581],
   216     [478.7958984375, 6.864420497333681],
   217     [479.6864013671875, 6.866278653973069],
   218     [479.7867431640625, 6.866487814627139],
   219     [479.9122314453125, 6.8667493311188395],
   220     [482.4793701171875, 6.872084270243208],
   221     [482.5181884765625, 6.872164723177875],
   222     [483.8797607421875, 6.874982560453874],
   223     [484.4649658203125, 6.876191234145179],
   224     [485.3258056640625, 6.877966548833207],
   225     [490.57373046875, 6.888721726428236],
   226     [493.7423095703125, 6.89515989558997],
   227     [494.272216796875, 6.896232568812718],
   228     [496.44775390625, 6.900624415355815],
   229     [497.0401611328125, 6.901816998553275],
   230     [498.234130859375, 6.9042162822876465],
   231     [665.0791015625, 7.193052598670793],
   232     [1170.29150390625, 7.758155143419732],
   233     [2058.7958984375, 8.323023697145112],
   234     [5824.533203125, 9.36298131161099],
   235     [9114.30859375, 9.810748008110926],
   236     [31388.40625, 11.047341056314202],
   237     [53732.765625, 11.584925435512535],
   238     [117455.09375, 12.366958539207397],
   239     [246210.625, 13.107089828327874],
   240     [513670.125, 13.84248373881162],
   241     [788353.25, 14.27084873575108],
   242     [1736171, 15.060339852215408],
   243     [3770530, 15.835873313657556],
   244     [4344090, 15.977474039173265],
   245     [11419360, 16.943967899150145],
   246     [31023240, 17.943394339560967],
   247     [40665424, 18.214035936745432],
   248     [129788064, 19.374560581709215],
   249     [225668224, 19.927723623778547],
   250     [450631936, 20.619308638400597],
   251     [750941952, 21.129986093026698],
   252     [1887358976, 22.05159150215413],
   253     [3738011648, 22.734966842639743],
   254     [7486695424, 23.42954051928097],
   255     [12668080128, 23.955498471391667],
   256     [23918272512, 24.591055724582848],
   257     [48862560256, 25.305424481799395],
   258     [113763549184, 26.150535181949436],
   259     [161334755328, 26.499894449532565],
   260     [321933279232, 27.19075733422632],
   261     [715734122496, 27.989721778208146],
   262     [1875817529344, 28.953212876533797]
   263 ];
   265 var sloppy_tolerance = 1000;  // FIXME
   267 for (var [x, y] of cosh_data)
   268     assertNear(Math.acosh(x), y, sloppy_tolerance);
   270 assertNear(Math.acosh(1e300), 691.4686750787737, sloppy_tolerance);
   271 assertNear(Math.acosh(1.0000000001), 0.000014142136208675862, sloppy_tolerance);
   273 for (var i = 0; i <= 100; i++) {
   274     var x = (i - 50) / 5;
   275     var y = Math.cosh(x);
   276     var z = Math.acosh(y);
   277     assertNear(z, Math.abs(x), sloppy_tolerance);
   278 }
   280 for (var i = 1; i < 20; i++)
   281     assertNear(Math.acosh(Math.cosh(i)), i, sloppy_tolerance);
   283 reportCompare(0, 0, "ok");

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