$SPAD/src/input asinhatanh.input

Timothy Daly December 3, 2016

Abstract

This is a set of tests for the tanh and coth functions.

Contents

2

In the following table there are 4 columns. The first column is the argument of asinh, ranging from 0.00 to 1.00. The second column is the reference value of asinh from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp221

— * —

)set break resume
)spool asinhatanh.output
)set message test on
)set message auto off
)clear all
--S 1 of 2
[[0.00,0.000000000,asinh(0.00),asinh(0.00)-0.000000000],_
[0.01,0.009999833,asinh(0.01),asinh(0.01)-0.009999833],_
[0.02,0.019998667,asinh(0.02),asinh(0.02)-0.019998667],_
[0.03,0.029995502,asinh(0.03),asinh(0.03)-0.029995502],_
[0.04,0.039989341,asinh(0.04),asinh(0.04)-0.039989341],_
[0.05,0.049979190,asinh(0.05),asinh(0.05)-0.049979190],_
[0.06,0.059964058,asinh(0.06),asinh(0.06)-0.059964058],_
[0.07,0.069942959,asinh(0.07),asinh(0.07)-0.069942959],_
[0.08,0.079914912,asinh(0.08),asinh(0.08)-0.079914912],_
[0.09,0.089878941,asinh(0.09),asinh(0.09)-0.089878941],_
[0.10,0.099834079,asinh(0.10),asinh(0.10)-0.099834079],_
[0.11,0.109779366,asinh(0.11),asinh(0.11)-0.109779366],_
[0.12,0.119713851,asinh(0.12),asinh(0.12)-0.119713851],_
[0.13,0.129636590,asinh(0.13),asinh(0.13)-0.129636590],_
[0.14,0.139546654,asinh(0.14),asinh(0.14)-0.139546654],_
[0.15,0.149443120,asinh(0.15),asinh(0.15)-0.149443120],_
[0.16,0.159325080,asinh(0.16),asinh(0.16)-0.159325080],_
[0.17,0.169191636,asinh(0.17),asinh(0.17)-0.169191636],_
[0.18,0.179041904,asinh(0.18),asinh(0.18)-0.179041904],_
[0.19,0.188875015,asinh(0.19),asinh(0.19)-0.188875015],_
[0.20,0.198690110,asinh(0.20),asinh(0.20)-0.198690110],_
[0.21,0.208486350,asinh(0.21),asinh(0.21)-0.208486350],_
[0.22,0.218262908,asinh(0.22),asinh(0.22)-0.218262908],_
[0.23,0.228018972,asinh(0.23),asinh(0.23)-0.228018972],_
[0.24,0.237753749,asinh(0.24),asinh(0.24)-0.237753749],_
[0.25,0.247466462,asinh(0.25),asinh(0.25)-0.247466462],_
[0.26,0.257156349,asinh(0.26),asinh(0.26)-0.257156349],_
[0.27,0.266822667,asinh(0.27),asinh(0.27)-0.266822667],_
[0.28,0.276464691,asinh(0.28),asinh(0.28)-0.276464691],_
[0.29,0.286081715,asinh(0.29),asinh(0.29)-0.286081715],_
[0.30,0.295673048,asinh(0.30),asinh(0.30)-0.295673048],_
[0.31,0.305238020,asinh(0.31),asinh(0.31)-0.305238020],_
[0.32,0.314775980,asinh(0.32),asinh(0.32)-0.314775980],_
[0.33,0.324286295,asinh(0.33),asinh(0.33)-0.324286295],_
[0.34,0.333768352,asinh(0.34),asinh(0.34)-0.333768352],_
[0.35,0.343221555,asinh(0.35),asinh(0.35)-0.343221555],_

[0.36,0.352645330,asinh(0.36),asinh(0.36)-0.352645330],_
[0.37,0.362039121,asinh(0.37),asinh(0.37)-0.362039121],_
[0.38,0.371402391,asinh(0.38),asinh(0.38)-0.371402391],_
[0.39,0.380734624,asinh(0.39),asinh(0.39)-0.380734624],_
[0.40,0.390035320,asinh(0.40),asinh(0.40)-0.390035320],_
[0.41,0.399304001,asinh(0.41),asinh(0.41)-0.399304001],_
[0.42,0.408540208,asinh(0.42),asinh(0.42)-0.408540208],_
[0.43,0.417743500,asinh(0.43),asinh(0.43)-0.417743500],_
[0.44,0.426913454,asinh(0.44),asinh(0.44)-0.426913454],_
[0.45,0.436049669,asinh(0.45),asinh(0.45)-0.436049669],_
[0.46,0.445151759,asinh(0.46),asinh(0.46)-0.445151759],_
[0.47,0.454219359,asinh(0.47),asinh(0.47)-0.454219359],_
[0.48,0.463252120,asinh(0.48),asinh(0.48)-0.463252120],_
[0.49,0.472249713,asinh(0.49),asinh(0.49)-0.472249713],_
[0.50,0.481211825,asinh(0.50),asinh(0.50)-0.481211825],_
[0.51,0.490138161,asinh(0.51),asinh(0.51)-0.490138161],_
[0.52,0.499028444,asinh(0.52),asinh(0.52)-0.499028444],_
[0.53,0.507882413,asinh(0.53),asinh(0.53)-0.507882413],_
[0.54,0.516699824,asinh(0.54),asinh(0.54)-0.516699824],_
[0.55,0.525480448,asinh(0.55),asinh(0.55)-0.525480448],_
[0.56,0.534224074,asinh(0.56),asinh(0.56)-0.534224074],_
[0.57,0.542930505,asinh(0.57),asinh(0.57)-0.542930505],_
[0.58,0.551599562,asinh(0.58),asinh(0.58)-0.551599562],_
[0.59,0.560231077,asinh(0.59),asinh(0.59)-0.560231077],_
[0.60,0.568824899,asinh(0.60),asinh(0.60)-0.568824899],_
[0.61,0.577380892,asinh(0.61),asinh(0.61)-0.577380892],_
[0.62,0.585898932,asinh(0.62),asinh(0.62)-0.585898932],_
[0.63,0.594378911,asinh(0.63),asinh(0.63)-0.594378911],_
[0.64,0.602820733,asinh(0.64),asinh(0.64)-0.602820733],_
[0.65,0.611224314,asinh(0.65),asinh(0.65)-0.611224314],_
[0.66,0.619589584,asinh(0.66),asinh(0.66)-0.619589584],_
[0.67,0.627916485,asinh(0.67),asinh(0.67)-0.627916485],_
[0.68,0.636204970,asinh(0.68),asinh(0.68)-0.636204970],_
[0.69,0.644455005,asinh(0.69),asinh(0.69)-0.644455005],_
[0.70,0.652666566,asinh(0.70),asinh(0.70)-0.652666566],_
[0.71,0.660839641,asinh(0.71),asinh(0.71)-0.660839641],_
[0.72,0.668974227,asinh(0.72),asinh(0.72)-0.668974227],_
[0.73,0.677070332,asinh(0.73),asinh(0.73)-0.677070332],_
[0.74,0.685127974,asinh(0.74),asinh(0.74)-0.685127974],_
[0.75,0.693147181,asinh(0.75),asinh(0.75)-0.693147181],_
[0.76,0.701127988,asinh(0.76),asinh(0.76)-0.701127988],_
[0.77,0.709070441,asinh(0.77),asinh(0.77)-0.709070441],_
[0.78,0.716974594,asinh(0.78),asinh(0.78)-0.716974594],_
[0.79,0.724840509,asinh(0.79),asinh(0.79)-0.724840509],_
[0.80,0.732668256,asinh(0.80),asinh(0.80)-0.732668256],_
[0.81,0.740457912,asinh(0.81),asinh(0.81)-0.740457912],_
[0.82,0.748209563,asinh(0.82),asinh(0.82)-0.748209563],_
[0.83,0.755923300,asinh(0.83),asinh(0.83)-0.755923300],_
[0.84,0.763599222,asinh(0.84),asinh(0.84)-0.763599222],_
[0.85,0.771237433,asinh(0.85),asinh(0.85)-0.771237433],_

[0.86,0.778838046,asinh(0.86),asinh(0.86)-0.778838046],_
[0.87,0.786401177,asinh(0.87),asinh(0.87)-0.786401177],_
[0.88,0.793926950,asinh(0.88),asinh(0.88)-0.793926950],_
[0.89,0.801415491,asinh(0.89),asinh(0.89)-0.801415491],_
[0.90,0.808866936,asinh(0.90),asinh(0.90)-0.808866936],_
[0.91,0.816281421,asinh(0.91),asinh(0.91)-0.816281421],_
[0.92,0.823659091,asinh(0.92),asinh(0.92)-0.823659091],_
[0.93,0.831000091,asinh(0.93),asinh(0.93)-0.831000091],_
[0.94,0.838304575,asinh(0.94),asinh(0.94)-0.838304575],_
[0.95,0.845572697,asinh(0.95),asinh(0.95)-0.845572697],_
[0.96,0.852804617,asinh(0.96),asinh(0.96)-0.852804617],_
[0.97,0.860000498,asinh(0.97),asinh(0.97)-0.860000498],_
[0.98,0.867160507,asinh(0.98),asinh(0.98)-0.867160507],_
[0.99,0.874284812,asinh(0.99),asinh(0.99)-0.874284812],_
[1.00,0.881373587,asinh(1.00),asinh(1.00)-0.881373587]]
--R
--R
--R   (1)
--R   [[0.0,0.0,0.0,0.0],
--R    [0.01,0.009999833,0.0099998333 4083288693 52,0.3408328869 35 E -9],
--R    [0.02,0.019998667,0.0199986669 0660953936,- 0.9339046064 E -10],
--R    [0.03,0.029995502,0.0299955018 2152425832 6,- 0.1784757416 74 E -9],
--R    [0.04,0.039989341,0.0399893410 0602700269 1,0.6027002691 E -11],
--R    [0.05,0.04997919,0.0499791900 6934866523 2,0.6934866523 2 E -10],
--R    [0.06,0.059964058,0.0599640581 9533394203 3,0.1953339420 3 E -9],
--R    [0.07,0.069942959,0.0699429590 1940182241 9,0.1940182242 E -10],
--R    [0.08,0.079914912,0.0799149114 9449676816 5,- 0.5055032318 35 E -9],
--R    [0.09,0.089878941,0.0898789407 4394680193 8,- 0.2560531980 6 E -9],
--R    [0.1,0.099834079,0.0998340788 9920756332 7,- 0.1007924366 7 E -9],
--R    [0.11,0.109779366,0.1097793659 2054342078,- 0.7945657921 7 E -10],
--R    [0.12,0.119713851,0.1197138503 9877738636,- 0.6012226136 36 E -9],
--R    [0.13,0.12963659,0.1296365903 3633024308,0.3363302430 8 E -9],
--R    [0.14,0.139546654,0.1395466539 0586528422,- 0.9413471578 E -10],
--R    [0.15,0.14944312,0.1494431201 8495765616,0.1849576561 6 E -9],
--R    [0.16,0.15932508,0.1593250798 6531572882,- 0.1346842711 8 E -9],
--R    [0.17,0.169191636,0.1691916359 3519539889,- 0.6480460111 E -10],
--R    [0.18,0.179041904,0.1790419043 3376594692,0.3337659469 2 E -9],
--R    [0.19,0.188875015,0.1888750145 7630719416,- 0.4236928058 4 E -9],
--R    [0.2,0.19869011,0.1986901103 4924140647,0.3492414064 7 E -9],
--R    [0.21,0.20848635,0.2084863500 7412884481,0.7412884481 E -10],
--R    [0.22,0.218262908,0.2182629074 3988224632,- 0.5601177536 8 E -9],
--R    [0.23,0.228018972,0.2280189719 0258204081,- 0.9741795919 E -10],
--R    [0.24,0.237753749,0.2377537491 5239999115,0.1523999911 5 E -9],
--R    [0.25,0.247466462,0.2474664615 4726345294,- 0.4527365470 6 E -9],
--R    [0.26,0.257156349,0.2571563485 1301487614,- 0.4869851238 6 E -9],
--R    [0.27,0.266822667,0.2668226669 0994085825,- 0.9005914175 E -10],
--R    [0.28,0.276464691,0.2764646913 6566139339,0.3656613933 9 E -9],
--R    [0.29,0.286081715,0.2860817145 7448237948,- 0.4255176205 2 E -9],
--R    [0.3,0.295673048,0.2956730475 634224391,- 0.4365775609 E -9],
--R    [0.31,0.30523802,0.3052380199 2522822388,- 0.7477177612 E -10],

--R    [0.32,0.31477598,0.3147759800 1879020946,0.187902095 E -10],
--R    [0.33,0.324286295,0.3242862951 3746321043,0.1374632104 E -9],
--R    [0.34,0.333768352,0.3337683516 4588216777,- 0.3541178322 3 E -9],
--R    [0.35,0.343221555,0.3432215550 8594396213,0.8594396213 E -10],
--R    [0.36,0.35264533,0.3526453302 5269991354,0.2526999135 4 E -9],
--R    [0.37,0.362039121,0.3620391212 4097112736,0.2409711273 6 E -9],
--R    [0.38,0.371402391,0.3714023914 6355987334,0.4635598733 4 E -9],
--R    [0.39,0.380734624,0.3807346236 4198472547,- 0.3580152745 3 E -9],
--R    [0.4,0.39003532,0.3900353197 7071527608,- 0.2292847239 E -9],
--R    [0.41,0.399304001,0.3993040010 5592394477,0.5592394477 E -10],
--R    [0.42,0.408540208,0.4085402078 298078441,- 0.1701921559 E -9],
--R    [0.43,0.4177435,0.4177434994 4156299241,- 0.5584370075 9 E -9],
--R    [0.44,0.426913454,0.4269134541 2611656164,0.1261165616 E -9],
--R    [0.45,0.436049669,0.4360496688 517405265,- 0.1482594735 E -9],
--R    [0.46,0.445151759,0.4451517591 4768227909,0.1476822791 E -9],
--R    [0.47,0.454219359,0.4542193589 1295474595,- 0.8704525405 E -10],
--R    [0.48,0.46325212,0.4632521202 0743057053,0.2074305705 E -9],
--R    [0.49,0.472249713,0.4722497130 2638229031,0.263822903 E -10],
--R    [0.5,0.481211825,0.4812118250 596034475,0.596034475 E -10],
--R    [0.51,0.490138161,0.4901381614 3623452983,0.4362345298 3 E -9],
--R    [0.52,0.499028444,0.4990284444 564028591,0.4564028591 E -9],
--R    [0.53,0.507882413,0.5078824133 1076734063,0.3107673406 E -9],
--R    [0.54,0.516699824,0.5166998237 890376715,- 0.2109623285 E -9],
--R    [0.55,0.525480448,0.5254804479 7851348895,- 0.214865111 E -10],
--R    [0.56,0.534224074,0.5342240739 5366232528,- 0.463376747 E -10],
--R    [0.57,0.542930505,0.5429305054 5772642154,0.4577264215 E -9],
--R    [0.58,0.551599562,0.5515995615 7731772498,- 0.422682275 E -9],
--R    [0.59,0.560231077,0.5602310764 1092803468,- 0.5890719653 2 E -9],
--R    [0.6,0.568824899,0.5688248987 322475301,- 0.2677524699 E -9],
--R    [0.61,0.577380892,0.5773808916 4915007492,- 0.3508499251 E -9],
--R    [0.62,0.585898932,0.5858989322 5916797142,0.2591679714 E -9],
--R    [0.63,0.594378911,0.5943789113 0224247799,0.302242478 E -9],
--R    [0.64,0.602820733,0.6028207328 1149960517,- 0.1885003948 E -9],
--R    [0.65,0.611224314,0.6112243137 62763672,- 0.237236328 E -9],
--R    [0.66,0.619589584,0.6195895837 234840191,- 0.2765159809 E -9],
--R    [0.67,0.627916485,0.6279164845 0171330467,- 0.4982866953 3 E -9],
--R    [0.68,0.63620497,0.6362049697 9573911039,- 0.2042608896 E -9],
--R    [0.69,0.644455005,0.6444550048 449342957,- 0.1550657043 E -9],
--R    [0.7,0.652666566,0.6526665660 8235578681,0.8235578681 E -10],
--R    [0.71,0.660839641,0.6608396407 8958638519,- 0.2104136148 E -9],
--R    [0.72,0.668974227,0.6689742267 542798277,- 0.2457201723 E -9],
--R    [0.73,0.677070332,0.6770703319 3083581572,- 0.6916418427 E -10],
--R    [0.74,0.685127974,0.6851279741 0459912826,0.1045991283 E -9],
--R    [0.75,0.693147181,0.6931471805 5994530942,- 0.4400546906 E -9],
--R    [0.76,0.701127988,0.7011279877 5258482712,- 0.2474151729 E -9],
--R    [0.77,0.709070441,0.7090704409 8638808148,- 0.136119185 E -10],
--R    [0.78,0.716974594,0.7169745940 9500523361,0.9500523361 E -10],
--R    [0.79,0.724840509,0.7248405091 2852755291,0.1285275529 E -9],
--R    [0.8,0.732668256,0.7326682560 4541086415,0.454108642 E -10],
--R    [0.81,0.740457912,0.7404579124 098567228,0.4098567228 E -9],

--R    [0.82,0.748209563,0.7482095630 9482316487,0.9482316487 E -10],
--R    [0.83,0.7559233,0.7559232999 9081426309,- 0.918573691 E -11],
--R    [0.84,0.763599222,0.7635992217 205762674,- 0.2794237326 E -9],
--R    [0.85,0.771237433,0.7712374333 5980780282,0.3598078028 E -9],
--R    [0.86,0.778838046,0.7788380461 6397242546,0.1639724255 E -9],
--R    [0.87,0.786401177,0.7864011773 0128377712,0.3012837771 E -9],
--R    [0.88,0.79392695,0.7939269495 9191660771,- 0.4080833923 E -9],
--R    [0.89,0.801415491,0.8014154912 5348102582,0.2534810258 E -9],
--R    [0.9,0.808866936,0.8088669356 5278246251,- 0.3472175375 E -9],
--R    [0.91,0.816281421,0.8162814210 6387596132,0.6387596132 E -10],
--R    [0.92,0.823659091,0.8236590904 3241050549,- 0.5675894945 2 E -9],
--R    [0.93,0.831000091,0.8310000911 4624712798,0.146247128 E -9],
--R    [0.94,0.838304575,0.8383045748 1232348677,- 0.1876765132 E -9],
--R    [0.95,0.845572697,0.8455726970 3972738992,0.397273899 E -10],
--R    [0.96,0.852804617,0.8528046172 2893238837,0.2289323884 E -9],
--R    [0.97,0.860000498,0.8600004983 6713998068,0.3671399807 E -9],
--R    [0.98,0.867160507,0.8671605068 2966515846,- 0.1703348415 E -9],
--R    [0.99,0.874284812,0.8742848121 8729492676,0.1872949268 E -9],
--R    [1.0,0.881373587,0.8813735870 1954302523,0.195430252 E -10]]
--R                                                      Type: List(List(Float))
--E 1

———-

In the following table there are 4 columns. The first column is the argument of atanh, ranging from 0.01 to 0.99. The second column is the reference value of atanh from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp221

— * —

--S 2 of 2
[[0.00,0.000000000,atanh(0.00),atanh(0.00)-0.000000000],_
[0.01,0.010000333,atanh(0.01),atanh(0.01)-0.010000333],_
[0.02,0.020002667,atanh(0.02),atanh(0.02)-0.020002667],_
[0.03,0.030009004,atanh(0.03),atanh(0.03)-0.030009004],_
[0.04,0.040021353,atanh(0.04),atanh(0.04)-0.040021353],_
[0.05,0.050041729,atanh(0.05),atanh(0.05)-0.050041729],_
[0.06,0.060072156,atanh(0.06),atanh(0.06)-0.060072156],_
[0.07,0.070114671,atanh(0.07),atanh(0.07)-0.070114671],_
[0.08,0.080171325,atanh(0.08),atanh(0.08)-0.080171325],_
[0.09,0.090244188,atanh(0.09),atanh(0.09)-0.090244188],_
[0.10,0.100335347,atanh(0.10),atanh(0.10)-0.100335347],_
[0.11,0.110446915,atanh(0.11),atanh(0.11)-0.110446915],_
[0.12,0.120581028,atanh(0.12),atanh(0.12)-0.120581028],_
[0.13,0.130739850,atanh(0.13),atanh(0.13)-0.130739850],_
[0.14,0.140925576,atanh(0.14),atanh(0.14)-0.140925576],_
[0.15,0.151140436,atanh(0.15),atanh(0.15)-0.151140436],_
[0.16,0.161386696,atanh(0.16),atanh(0.16)-0.161386696],_
[0.17,0.171666663,atanh(0.17),atanh(0.17)-0.171666663],_
[0.18,0.181982689,atanh(0.18),atanh(0.18)-0.181982689],_

[0.19,0.192337169,atanh(0.19),atanh(0.19)-0.192337169],_
[0.20,0.202732554,atanh(0.20),atanh(0.20)-0.202732554],_
[0.21,0.213171346,atanh(0.21),atanh(0.21)-0.213171346],_
[0.22,0.223656109,atanh(0.22),atanh(0.22)-0.223656109],_
[0.23,0.234189466,atanh(0.23),atanh(0.23)-0.234189466],_
[0.24,0.244774112,atanh(0.24),atanh(0.24)-0.244774112],_
[0.25,0.255412812,atanh(0.25),atanh(0.25)-0.255412812],_
[0.26,0.266108407,atanh(0.26),atanh(0.26)-0.266108407],_
[0.27,0.276863823,atanh(0.27),atanh(0.27)-0.276863823],_
[0.28,0.287682072,atanh(0.28),atanh(0.28)-0.287682072],_
[0.29,0.298566264,atanh(0.29),atanh(0.29)-0.298566264],_
[0.30,0.309519604,atanh(0.30),atanh(0.30)-0.309519604],_
[0.31,0.320545409,atanh(0.31),atanh(0.31)-0.320545409],_
[0.32,0.331647108,atanh(0.32),atanh(0.32)-0.331647108],_
[0.33,0.342828254,atanh(0.33),atanh(0.33)-0.342828254],_
[0.34,0.354092528,atanh(0.34),atanh(0.34)-0.354092528],_
[0.35,0.365443754,atanh(0.35),atanh(0.35)-0.365443754],_
[0.36,0.376885901,atanh(0.36),atanh(0.36)-0.376885901],_
[0.37,0.388423100,atanh(0.37),atanh(0.37)-0.388423100],_
[0.38,0.400059650,atanh(0.38),atanh(0.38)-0.400059650],_
[0.39,0.411800034,atanh(0.39),atanh(0.39)-0.411800034],_
[0.40,0.423648930,atanh(0.40),atanh(0.40)-0.423648930],_
[0.41,0.435611223,atanh(0.41),atanh(0.41)-0.435611223],_
[0.42,0.447692023,atanh(0.42),atanh(0.42)-0.447692023],_
[0.43,0.459896681,atanh(0.43),atanh(0.43)-0.459896681],_
[0.44,0.472230804,atanh(0.44),atanh(0.44)-0.472230804],_
[0.45,0.484700279,atanh(0.45),atanh(0.45)-0.484700279],_
[0.46,0.497311288,atanh(0.46),atanh(0.46)-0.497311288],_
[0.47,0.510070337,atanh(0.47),atanh(0.47)-0.510070337],_
[0.48,0.522984278,atanh(0.48),atanh(0.48)-0.522984278],_
[0.49,0.536060337,atanh(0.49),atanh(0.49)-0.536060337],_
[0.50,0.549306144,atanh(0.50),atanh(0.50)-0.549306144],_
[0.51,0.562729769,atanh(0.51),atanh(0.51)-0.562729769],_
[0.52,0.576339754,atanh(0.52),atanh(0.52)-0.576339754],_
[0.53,0.590145160,atanh(0.53),atanh(0.53)-0.590145160],_
[0.54,0.604155603,atanh(0.54),atanh(0.54)-0.604155603],_
[0.55,0.618381313,atanh(0.55),atanh(0.55)-0.618381313],_
[0.56,0.632833186,atanh(0.56),atanh(0.56)-0.632833186],_
[0.57,0.647522844,atanh(0.57),atanh(0.57)-0.647522844],_
[0.58,0.662462707,atanh(0.58),atanh(0.58)-0.662462707],_
[0.59,0.677666068,atanh(0.59),atanh(0.59)-0.677666068],_
[0.60,0.693147180,atanh(0.60),atanh(0.60)-0.693147180],_
[0.61,0.708921359,atanh(0.61),atanh(0.61)-0.708921359],_
[0.62,0.725005087,atanh(0.62),atanh(0.62)-0.725005087],_
[0.63,0.741416144,atanh(0.63),atanh(0.63)-0.741416144],_
[0.64,0.758173745,atanh(0.64),atanh(0.64)-0.758173745],_
[0.65,0.775298706,atanh(0.65),atanh(0.65)-0.775298706],_
[0.66,0.792813631,atanh(0.66),atanh(0.66)-0.792813631],_
[0.67,0.810743125,atanh(0.67),atanh(0.67)-0.810743125],_
[0.68,0.829114038,atanh(0.68),atanh(0.68)-0.829114038],_

[0.69,0.847955755,atanh(0.69),atanh(0.69)-0.847955755],_
[0.70,0.867300527,atanh(0.70),atanh(0.70)-0.867300527],_
[0.71,0.887183863,atanh(0.71),atanh(0.71)-0.887183863],_
[0.72,0.907644983,atanh(0.72),atanh(0.72)-0.907644983],_
[0.73,0.928727364,atanh(0.73),atanh(0.73)-0.928727364],_
[0.74,0.950479381,atanh(0.74),atanh(0.74)-0.950479381],_
[0.75,0.972955074,atanh(0.75),atanh(0.75)-0.972955074],_
[0.76,0.996215082,atanh(0.76),atanh(0.76)-0.996215082],_
[0.77,1.020327758,atanh(0.77),atanh(0.77)-1.020327758],_
[0.78,1.045370548,atanh(0.78),atanh(0.78)-1.045370548],_
[0.79,1.071431684,atanh(0.79),atanh(0.79)-1.071431684],_
[0.80,1.098612289,atanh(0.80),atanh(0.80)-1.098612289],_
[0.81,1.127029026,atanh(0.81),atanh(0.81)-1.127029026],_
[0.82,1.156817465,atanh(0.82),atanh(0.82)-1.156817465],_
[0.83,1.188136404,atanh(0.83),atanh(0.83)-1.188136404],_
[0.84,1.221173518,atanh(0.84),atanh(0.84)-1.221173518],_
[0.85,1.256152811,atanh(0.85),atanh(0.85)-1.256152811],_
[0.86,1.293344672,atanh(0.86),atanh(0.86)-1.293344672],_
[0.87,1.333079629,atanh(0.87),atanh(0.87)-1.333079629],_
[0.88,1.375767657,atanh(0.88),atanh(0.88)-1.375767657],_
[0.89,1.421925871,atanh(0.89),atanh(0.89)-1.421925871],_
[0.90,1.472219490,atanh(0.90),atanh(0.90)-1.472219490],_
[0.91,1.527524425,atanh(0.91),atanh(0.91)-1.527524425],_
[0.92,1.589026915,atanh(0.92),atanh(0.92)-1.589026915],_
[0.93,1.658390020,atanh(0.93),atanh(0.93)-1.658390020],_
[0.94,1.738049345,atanh(0.94),atanh(0.94)-1.738049345],_
[0.95,1.831780823,atanh(0.95),atanh(0.95)-1.831780823],_
[0.96,1.945910149,atanh(0.96),atanh(0.96)-1.945910149],_
[0.97,2.092295720,atanh(0.97),atanh(0.97)-2.092295720],_
[0.98,2.297559925,atanh(0.98),atanh(0.98)-2.297559925],_
[0.99,2.646652412,atanh(0.99),atanh(0.99)-2.646652412]]
--R
--R
--R   (2)
--R   [[0.0,0.0,0.0,0.0],
--R    [0.01,0.010000333,0.0100003333 5333476201 6,0.3533347620 16 E -9],
--R    [0.02,0.020002667,0.0200026673 0684958071 7,0.3068495807 17 E -9],
--R    [0.03,0.030009004,0.0300090048 6312647432 6,0.8631264743 26 E -9],
--R    [0.04,0.040021353,0.0400213538 3676821291 2,0.8367682129 12 E -9],
--R    [0.05,0.050041729,0.0500417292 7849126824 6,0.2784912682 46 E -9],
--R    [0.06,0.060072156,0.0600721559 2103162366 2,- 0.7896837633 8 E -10],
--R    [0.07,0.070114671,0.0701146706 5432511799,- 0.3456748820 1 E -9],
--R    [0.08,0.080171325,0.0801713250 3758969169,0.3758969169 E -10],
--R    [0.09,0.090244188,0.0902441878 5614682960 9,- 0.1438531703 9 E -9],
--R    [0.1,0.100335347,0.1003353477 3107558064,0.7310755806 36 E -9],
--R    [0.11,0.110446915,0.1104469157 9009714872,0.7900971487 22 E -9],
--R    [0.12,0.120581028,0.1205810284 0844403523,0.4084440352 3 E -9],
--R    [0.13,0.13073985,0.1307398500 28878425,0.28878425 E -10],
--R    [0.14,0.140925576,0.1409255760 7049386396,0.7049386396 E -10],
--R    [0.15,0.151140436,0.1511404359 3646680528,- 0.6353319472 E -10],

--R    [0.16,0.161386696,0.1613866961 3152551534,0.1315255153 4 E -9],
--R    [0.17,0.171666663,0.1716666635 0057909768,0.5005790976 8 E -9],
--R    [0.18,0.181982689,0.1819826886 0070582337,- 0.3992941766 3 E -9],
--R    [0.19,0.192337169,0.1923371692 1954530989,0.2195453098 9 E -9],
--R    [0.2,0.202732554,0.2027325540 5408219099,0.5408219099 E -10],
--R    [0.21,0.213171346,0.2131713465 6485979698,0.5648597969 8 E -9],
--R    [0.22,0.223656109,0.2236561090 2183241065,0.2183241065 E -10],
--R    [0.23,0.234189466,0.2341894667 5936682305,0.7593668230 5 E -9],
--R    [0.24,0.244774112,0.2447741126 5935289296,0.6593528929 6 E -9],
--R    [0.25,0.255412812,0.2554128118 829953416,- 0.1170046584 E -9],
--R    [0.26,0.266108407,0.2661084068 7365412176,- 0.1263458782 E -9],
--R    [0.27,0.276863823,0.2768638226 5510007198,- 0.3448999280 2 E -9],
--R    [0.28,0.287682072,0.2876820724 5178092744,0.4517809274 4 E -9],
--R    [0.29,0.298566264,0.2985662636 6017834677,- 0.3398216532 3 E -9],
--R    [0.3,0.309519604,0.3095196042 0311171547,0.2031117155 E -9],
--R    [0.31,0.320545409,0.3205454093 0194608097,0.3019460809 7 E -9],
--R    [0.32,0.331647108,0.3316471087 051320776,0.7051320776 E -9],
--R    [0.33,0.342828254,0.3428282544 1539385272,0.4153938527 2 E -9],
--R    [0.34,0.354092528,0.3540925289 6224291211,0.9622429121 E -9],
--R    [0.35,0.365443754,0.3654437542 7139616907,0.2713961690 7 E -9],
--R    [0.36,0.376885901,0.3768859011 88190076,0.188190076 E -9],
--R    [0.37,0.3884231,0.3884230997 1829611371,- 0.2817038862 9 E -9],
--R    [0.38,0.40005965,0.4000596500 5605656814,0.5605656814 E -10],
--R    [0.39,0.411800034,0.4118000344 7869025422,0.4786902542 2 E -9],
--R    [0.4,0.42364893,0.4236489301 9360180685,0.1936018069 E -9],
--R    [0.41,0.435611223,0.4356112232 362244138,0.2362244138 E -9],
--R    [0.42,0.447692023,0.4476920235 2742069707,0.5274206970 7 E -9],
--R    [0.43,0.459896681,0.4598966812 1267856435,0.2126785644 E -9],
--R    [0.44,0.472230804,0.4722308044 2042569355,0.4204256935 5 E -9],
--R    [0.45,0.484700279,0.4847002785 9405174156,- 0.4059482584 4 E -9],
--R    [0.46,0.497311288,0.4973112875 7203102745,- 0.4279689725 5 E -9],
--R    [0.47,0.510070337,0.5100703366 1330723373,- 0.3866927663 E -9],
--R    [0.48,0.522984278,0.5229842775 9134385416,- 0.4086561458 E -9],
--R    [0.49,0.536060337,0.5360603366 1056668467,- 0.3894333153 E -9],
--R    [0.5,0.549306144,0.5493061443 340548457,0.3340548457 E -9],
--R    [0.51,0.562729769,0.5627297693 521488593,0.3521488593 E -9],
--R    [0.52,0.576339754,0.5763397549 691927296,0.9691927296 E -9],
--R    [0.53,0.59014516,0.5901451598 4118843811,- 0.1588115619 E -9],
--R    [0.54,0.604155603,0.6041556029 6226707918,- 0.377329208 E -10],
--R    [0.55,0.618381313,0.6183813135 7446343157,0.5744634315 7 E -9],
--R    [0.56,0.632833186,0.6328331866 6563794169,0.6656379416 9 E -9],
--R    [0.57,0.647522844,0.6475228448 2737281698,0.8273728169 8 E -9],
--R    [0.58,0.662462707,0.6624627073 7179924883,0.3717992488 E -9],
--R    [0.59,0.677666068,0.6776660677 5796186084,- 0.2420381392 E -9],
--R    [0.6,0.69314718,0.6931471805 5994530942,0.5599453094 2 E -9],
--R    [0.61,0.708921359,0.7089213594 2740828423,0.4274082842 E -9],
--R    [0.62,0.725005087,0.7250050877 5299915279,0.7529991527 9 E -9],
--R    [0.63,0.741416144,0.7414161440 8126894485,0.8126894484 E -10],
--R    [0.64,0.758173745,0.7581737446 8404421054,- 0.3159557895 E -9],
--R    [0.65,0.775298706,0.7752987062 0558346517,0.2055834652 E -9],

--R    [0.66,0.792813631,0.7928136318 7019092161,0.8701909216 1 E -9],
--R    [0.67,0.810743125,0.8107431254 7513743591,0.4751374359 1 E -9],
--R    [0.68,0.829114038,0.8291140383 0176618883,0.3017661888 E -9],
--R    [0.69,0.847955755,0.8479557552 1896361309,0.2189636131 E -9],
--R    [0.7,0.867300527,0.8673005276 9405319443,0.6940531944 3 E -9],
--R    [0.71,0.887183863,0.8871838632 5809290781,0.2580929078 E -9],
--R    [0.72,0.907644983,0.9076449833 1912455918,0.3191245592 E -9],
--R    [0.73,0.928727364,0.9287273642 4672493638,0.2467249364 E -9],
--R    [0.74,0.950479381,0.9504793805 9652349126,- 0.4034765087 E -9],
--R    [0.75,0.972955074,0.9729550745 2765665255,0.5276566525 5 E -9],
--R    [0.76,0.996215082,0.9962150823 4510308105,0.345103081 E -9],
--R    [0.77,1.020327758,1.0203277583 223397256,0.3223397256 E -9],
--R    [0.78,1.045370548,1.0453705484 668846471,0.4668846471 E -9],
--R    [0.79,1.071431684,1.0714316840 586659998,0.586659998 E -10],
--R    [0.8,1.098612289,1.0986122886 681096914,- 0.3318903086 E -9],
--R    [0.81,1.127029026,1.1270290260 496926434,0.496926434 E -10],
--R    [0.82,1.156817465,1.1568174645 903153292,- 0.4096846708 E -9],
--R    [0.83,1.188136404,1.1881364043 926024299,0.3926024299 E -9],
--R    [0.84,1.221173518,1.2211735176 846021907,- 0.3153978093 E -9],
--R    [0.85,1.256152811,1.2561528119 880573765,0.9880573764 9 E -9],
--R    [0.86,1.293344672,1.2933446720 489713161,0.489713161 E -10],
--R    [0.87,1.333079629,1.3330796296 965249441,0.6965249441 E -9],
--R    [0.88,1.375767657,1.3757676565 209744477,- 0.4790255523 E -9],
--R    [0.89,1.421925871,1.4219258711 306359176,0.1306359176 E -9],
--R    [0.9,1.47221949,1.4722194895 8322023,- 0.41677977 E -9],
--R    [0.91,1.527524425,1.5275244253 55205245,0.355205245 E -9],
--R    [0.92,1.589026915,1.5890269151 739728098,0.1739728098 E -9],
--R    [0.93,1.65839002,1.6583900199 247861234,- 0.752138766 E -10],
--R    [0.94,1.738049345,1.7380493449 176365654,- 0.823634346 E -10],
--R    [0.95,1.831780823,1.8317808230 648232137,0.648232137 E -10],
--R    [0.96,1.945910149,1.9459101490 553133051,0.553133051 E -10],
--R    [0.97,2.09229572,2.0922957200 349394077,0.349394077 E -10],
--R    [0.98,2.297559925,2.2975599250 672949634,0.672949634 E -10],
--R    [0.99,2.646652412,2.6466524123 622461976,0.3622461976 E -9]]
--R                                                      Type: List(List(Float))
--E 2
)spool
)lisp (bye)

———-

References

[1] Digital Library of Mathematical Functions, http://dlmf.nist.gov

[2] Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp221