$SPAD/src/input tanhcoth.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 tanh, ranging from 0.00 to 2.00. The second column is the reference value of tanh from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp213-216

— * —

)set break resume
)spool tanhcoth.output
)set message test on
)set message auto off
)clear all
--S 1 of 2
[[0.00,0.00000000,tanh(0.00),tanh(0.00)-0.00000000],_
[0.01,0.00999967,tanh(0.01),tanh(0.01)-0.00999967],_
[0.02,0.01999733,tanh(0.02),tanh(0.02)-0.01999733],_
[0.03,0.02999100,tanh(0.03),tanh(0.03)-0.02999100],_
[0.04,0.03997868,tanh(0.04),tanh(0.04)-0.03997868],_
[0.05,0.04995838,tanh(0.05),tanh(0.05)-0.04995838],_
[0.06,0.05992810,tanh(0.06),tanh(0.06)-0.05992810],_
[0.07,0.06988589,tanh(0.07),tanh(0.07)-0.06988589],_
[0.08,0.07982977,tanh(0.08),tanh(0.08)-0.07982977],_
[0.09,0.08975779,tanh(0.09),tanh(0.09)-0.08975779],_
[0.10,0.09966800,tanh(0.10),tanh(0.10)-0.09966800],_
[0.11,0.10955847,tanh(0.11),tanh(0.11)-0.10955847],_
[0.12,0.11942730,tanh(0.12),tanh(0.12)-0.11942730],_
[0.13,0.12927258,tanh(0.13),tanh(0.13)-0.12927258],_
[0.14,0.13909245,tanh(0.14),tanh(0.14)-0.13909245],_
[0.15,0.14888503,tanh(0.15),tanh(0.15)-0.14888503],_
[0.16,0.15864850,tanh(0.16),tanh(0.16)-0.15864850],_
[0.17,0.16838105,tanh(0.17),tanh(0.17)-0.16838105],_
[0.18,0.17808087,tanh(0.18),tanh(0.18)-0.17808087],_
[0.19,0.18774621,tanh(0.19),tanh(0.19)-0.18774621],_
[0.20,0.19737532,tanh(0.20),tanh(0.20)-0.19737532],_
[0.21,0.20696650,tanh(0.21),tanh(0.21)-0.20696650],_
[0.22,0.21651806,tanh(0.22),tanh(0.22)-0.21651806],_
[0.23,0.22602835,tanh(0.23),tanh(0.23)-0.22602835],_
[0.24,0.23549575,tanh(0.24),tanh(0.24)-0.23549575],_
[0.25,0.24491866,tanh(0.25),tanh(0.25)-0.24491866],_
[0.26,0.25429553,tanh(0.26),tanh(0.26)-0.25429553],_
[0.27,0.26362484,tanh(0.27),tanh(0.27)-0.26362484],_
[0.28,0.27290508,tanh(0.28),tanh(0.28)-0.27290508],_
[0.29,0.28213481,tanh(0.29),tanh(0.29)-0.28213481],_
[0.30,0.29131261,tanh(0.30),tanh(0.30)-0.29131261],_
[0.31,0.30043710,tanh(0.31),tanh(0.31)-0.30043710],_
[0.32,0.30950692,tanh(0.32),tanh(0.32)-0.30950692],_
[0.33,0.31852078,tanh(0.33),tanh(0.33)-0.31852078],_
[0.34,0.32747740,tanh(0.34),tanh(0.34)-0.32747740],_
[0.35,0.33637554,tanh(0.35),tanh(0.35)-0.33637554],_

[0.36,0.34521403,tanh(0.36),tanh(0.36)-0.34521403],_
[0.37,0.35399171,tanh(0.37),tanh(0.37)-0.35399171],_
[0.38,0.36270747,tanh(0.38),tanh(0.38)-0.36270747],_
[0.39,0.37136023,tanh(0.39),tanh(0.39)-0.37136023],_
[0.40,0.37994896,tanh(0.40),tanh(0.40)-0.37994896],_
[0.41,0.38847268,tanh(0.41),tanh(0.41)-0.38847268],_
[0.42,0.39693043,tanh(0.42),tanh(0.42)-0.39693043],_
[0.43,0.40532131,tanh(0.43),tanh(0.43)-0.40532131],_
[0.44,0.41364444,tanh(0.44),tanh(0.44)-0.41364444],_
[0.45,0.42189901,tanh(0.45),tanh(0.45)-0.42189901],_
[0.46,0.43008421,tanh(0.46),tanh(0.46)-0.43008421],_
[0.47,0.43819932,tanh(0.47),tanh(0.47)-0.43819932],_
[0.48,0.44624361,tanh(0.48),tanh(0.48)-0.44624361],_
[0.49,0.45421643,tanh(0.49),tanh(0.49)-0.45421643],_
[0.50,0.46211716,tanh(0.50),tanh(0.50)-0.46211716],_
[0.51,0.46994520,tanh(0.51),tanh(0.51)-0.46994520],_
[0.52,0.47770001,tanh(0.52),tanh(0.52)-0.47770001],_
[0.53,0.48538109,tanh(0.53),tanh(0.53)-0.48538109],_
[0.54,0.49298797,tanh(0.54),tanh(0.54)-0.49298797],_
[0.55,0.50052021,tanh(0.55),tanh(0.55)-0.50052021],_
[0.56,0.50797743,tanh(0.56),tanh(0.56)-0.50797743],_
[0.57,0.51535928,tanh(0.57),tanh(0.57)-0.51535928],_
[0.58,0.52266543,tanh(0.58),tanh(0.58)-0.52266543],_
[0.59,0.52989561,tanh(0.59),tanh(0.59)-0.52989561],_
[0.60,0.53704957,tanh(0.60),tanh(0.60)-0.53704957],_
[0.61,0.54412710,tanh(0.61),tanh(0.61)-0.54412710],_
[0.62,0.55112803,tanh(0.62),tanh(0.62)-0.55112803],_
[0.63,0.55805222,tanh(0.63),tanh(0.63)-0.55805222],_
[0.64,0.56489955,tanh(0.64),tanh(0.64)-0.56489955],_
[0.65,0.57166997,tanh(0.65),tanh(0.65)-0.57166997],_
[0.66,0.57836341,tanh(0.66),tanh(0.66)-0.57836341],_
[0.67,0.58497988,tanh(0.67),tanh(0.67)-0.58497988],_
[0.68,0.59151940,tanh(0.68),tanh(0.68)-0.59151940],_
[0.69,0.59798200,tanh(0.69),tanh(0.69)-0.59798200],_
[0.70,0.60436778,tanh(0.70),tanh(0.70)-0.60436778],_
[0.71,0.61067683,tanh(0.71),tanh(0.71)-0.61067683],_
[0.72,0.61690930,tanh(0.72),tanh(0.72)-0.61690930],_
[0.73,0.62306535,tanh(0.73),tanh(0.73)-0.62306535],_
[0.74,0.62914516,tanh(0.74),tanh(0.74)-0.62914516],_
[0.75,0.63514895,tanh(0.75),tanh(0.75)-0.63514895],_
[0.76,0.64107696,tanh(0.76),tanh(0.76)-0.64107696],_
[0.77,0.64692945,tanh(0.77),tanh(0.77)-0.64692945],_
[0.78,0.65270671,tanh(0.78),tanh(0.78)-0.65270671],_
[0.79,0.65840904,tanh(0.79),tanh(0.79)-0.65840904],_
[0.80,0.66403677,tanh(0.80),tanh(0.80)-0.66403677],_
[0.81,0.66959026,tanh(0.81),tanh(0.81)-0.66959026],_
[0.82,0.67506987,tanh(0.82),tanh(0.82)-0.67506987],_
[0.83,0.68047601,tanh(0.83),tanh(0.83)-0.68047601],_
[0.84,0.68580906,tanh(0.84),tanh(0.84)-0.68580906],_
[0.85,0.69106947,tanh(0.85),tanh(0.85)-0.69106947],_

[0.86,0.69625767,tanh(0.86),tanh(0.86)-0.69625767],_
[0.87,0.70137413,tanh(0.87),tanh(0.87)-0.70137413],_
[0.88,0.70641932,tanh(0.88),tanh(0.88)-0.70641932],_
[0.89,0.71139373,tanh(0.89),tanh(0.89)-0.71139373],_
[0.90,0.71629787,tanh(0.90),tanh(0.90)-0.71629787],_
[0.91,0.72113225,tanh(0.91),tanh(0.91)-0.72113225],_
[0.92,0.72589742,tanh(0.92),tanh(0.92)-0.72589742],_
[0.93,0.73059390,tanh(0.93),tanh(0.93)-0.73059390],_
[0.94,0.73522225,tanh(0.94),tanh(0.94)-0.73522225],_
[0.95,0.73978305,tanh(0.95),tanh(0.95)-0.73978305],_
[0.96,0.74427687,tanh(0.96),tanh(0.96)-0.74427687],_
[0.97,0.74870429,tanh(0.97),tanh(0.97)-0.74870429],_
[0.98,0.75306591,tanh(0.98),tanh(0.98)-0.75306591],_
[0.99,0.75736232,tanh(0.99),tanh(0.99)-0.75736232],_
[1.00,0.76159416,tanh(1.00),tanh(1.00)-0.76159416],_
[1.01,0.76576202,tanh(1.01),tanh(1.01)-0.76576202],_
[1.02,0.76986654,tanh(1.02),tanh(1.02)-0.76986654],_
[1.03,0.77390834,tanh(1.03),tanh(1.03)-0.77390834],_
[1.04,0.77788807,tanh(1.04),tanh(1.04)-0.77788807],_
[1.05,0.78180636,tanh(1.05),tanh(1.05)-0.78180636],_
[1.06,0.78566386,tanh(1.06),tanh(1.06)-0.78566386],_
[1.07,0.78946122,tanh(1.07),tanh(1.07)-0.78946122],_
[1.08,0.79319910,tanh(1.08),tanh(1.08)-0.79319910],_
[1.09,0.79687814,tanh(1.09),tanh(1.09)-0.79687814],_
[1.10,0.80049902,tanh(1.10),tanh(1.10)-0.80049902],_
[1.11,0.80406239,tanh(1.11),tanh(1.11)-0.80406239],_
[1.12,0.80756892,tanh(1.12),tanh(1.12)-0.80756892],_
[1.13,0.81101926,tanh(1.13),tanh(1.13)-0.81101926],_
[1.14,0.81441409,tanh(1.14),tanh(1.14)-0.81441409],_
[1.15,0.81775408,tanh(1.15),tanh(1.15)-0.81775408],_
[1.16,0.82103988,tanh(1.16),tanh(1.16)-0.82103988],_
[1.17,0.82427217,tanh(1.17),tanh(1.17)-0.82427217],_
[1.18,0.82745161,tanh(1.18),tanh(1.18)-0.82745161],_
[1.19,0.83057887,tanh(1.19),tanh(1.19)-0.83057887],_
[1.20,0.83365461,tanh(1.20),tanh(1.20)-0.83365461],_
[1.21,0.83667949,tanh(1.21),tanh(1.21)-0.83667949],_
[1.22,0.83965418,tanh(1.22),tanh(1.22)-0.83965418],_
[1.23,0.84257933,tanh(1.23),tanh(1.23)-0.84257933],_
[1.24,0.84545560,tanh(1.24),tanh(1.24)-0.84545560],_
[1.25,0.84828364,tanh(1.25),tanh(1.25)-0.84828364],_
[1.26,0.85106411,tanh(1.26),tanh(1.26)-0.85106411],_
[1.27,0.85379765,tanh(1.27),tanh(1.27)-0.85379765],_
[1.28,0.85648492,tanh(1.28),tanh(1.28)-0.85648492],_
[1.29,0.85912654,tanh(1.29),tanh(1.29)-0.85912654],_
[1.30,0.86172316,tanh(1.30),tanh(1.30)-0.86172316],_
[1.31,0.86427541,tanh(1.31),tanh(1.31)-0.86427541],_
[1.32,0.86678393,tanh(1.32),tanh(1.32)-0.86678393],_
[1.33,0.86924933,tanh(1.33),tanh(1.33)-0.86924933],_
[1.34,0.87167225,tanh(1.34),tanh(1.34)-0.87167225],_
[1.35,0.87405329,tanh(1.35),tanh(1.35)-0.87405329],_

[1.36,0.87639307,tanh(1.36),tanh(1.36)-0.87639307],_
[1.37,0.87869219,tanh(1.37),tanh(1.37)-0.87869219],_
[1.38,0.88095127,tanh(1.38),tanh(1.38)-0.88095127],_
[1.39,0.88317089,tanh(1.39),tanh(1.39)-0.88317089],_
[1.40,0.88535165,tanh(1.40),tanh(1.40)-0.88535165],_
[1.41,0.88749413,tanh(1.41),tanh(1.41)-0.88749413],_
[1.42,0.88959892,tanh(1.42),tanh(1.42)-0.88959892],_
[1.43,0.89166660,tanh(1.43),tanh(1.43)-0.89166660],_
[1.44,0.89369773,tanh(1.44),tanh(1.44)-0.89369773],_
[1.45,0.89569287,tanh(1.45),tanh(1.45)-0.89569287],_
[1.46,0.89765260,tanh(1.46),tanh(1.46)-0.89765260],_
[1.47,0.89957745,tanh(1.47),tanh(1.47)-0.89957745],_
[1.48,0.90146799,tanh(1.48),tanh(1.48)-0.90146799],_
[1.49,0.90332474,tanh(1.49),tanh(1.49)-0.90332474],_
[1.50,0.90514825,tanh(1.50),tanh(1.50)-0.90514825],_
[1.51,0.90693905,tanh(1.51),tanh(1.51)-0.90693905],_
[1.52,0.90869766,tanh(1.52),tanh(1.52)-0.90869766],_
[1.53,0.91042459,tanh(1.53),tanh(1.53)-0.91042459],_
[1.54,0.91212037,tanh(1.54),tanh(1.54)-0.91212037],_
[1.55,0.91378549,tanh(1.55),tanh(1.55)-0.91378549],_
[1.56,0.91542046,tanh(1.56),tanh(1.56)-0.91542046],_
[1.57,0.91702576,tanh(1.57),tanh(1.57)-0.91702576],_
[1.58,0.91860189,tanh(1.58),tanh(1.58)-0.91860189],_
[1.59,0.92014933,tanh(1.59),tanh(1.59)-0.92014933],_
[1.60,0.92166855,tanh(1.60),tanh(1.60)-0.92166855],_
[1.61,0.92316003,tanh(1.61),tanh(1.61)-0.92316003],_
[1.62,0.92462422,tanh(1.62),tanh(1.62)-0.92462422],_
[1.63,0.92606158,tanh(1.63),tanh(1.63)-0.92606158],_
[1.64,0.92747257,tanh(1.64),tanh(1.64)-0.92747257],_
[1.65,0.92885762,tanh(1.65),tanh(1.65)-0.92885762],_
[1.66,0.93021718,tanh(1.66),tanh(1.66)-0.93021718],_
[1.67,0.93155168,tanh(1.67),tanh(1.67)-0.93155168],_
[1.68,0.93286155,tanh(1.68),tanh(1.68)-0.93286155],_
[1.69,0.93414721,tanh(1.69),tanh(1.69)-0.93414721],_
[1.70,0.93540907,tanh(1.70),tanh(1.70)-0.93540907],_
[1.71,0.93664754,tanh(1.71),tanh(1.71)-0.93664754],_
[1.72,0.93786303,tanh(1.72),tanh(1.72)-0.93786303],_
[1.73,0.93905593,tanh(1.73),tanh(1.73)-0.93905593],_
[1.74,0.94022664,tanh(1.74),tanh(1.74)-0.94022664],_
[1.75,0.94137554,tanh(1.75),tanh(1.75)-0.94137554],_
[1.76,0.94250301,tanh(1.76),tanh(1.76)-0.94250301],_
[1.77,0.94360942,tanh(1.77),tanh(1.77)-0.94360942],_
[1.78,0.94469516,tanh(1.78),tanh(1.78)-0.94469516],_
[1.79,0.94576057,tanh(1.79),tanh(1.79)-0.94576057],_
[1.80,0.94680601,tanh(1.80),tanh(1.80)-0.94680601],_
[1.81,0.94783185,tanh(1.81),tanh(1.81)-0.94783185],_
[1.82,0.94883842,tanh(1.82),tanh(1.82)-0.94883842],_
[1.83,0.94982608,tanh(1.83),tanh(1.83)-0.94982608],_
[1.84,0.95079514,tanh(1.84),tanh(1.84)-0.95079514],_
[1.85,0.95174596,tanh(1.85),tanh(1.85)-0.95174596],_

[1.86,0.95267884,tanh(1.86),tanh(1.86)-0.95267884],_
[1.87,0.95359412,tanh(1.87),tanh(1.87)-0.95359412],_
[1.88,0.95449211,tanh(1.88),tanh(1.88)-0.95449211],_
[1.89,0.95537312,tanh(1.89),tanh(1.89)-0.95537312],_
[1.90,0.95623746,tanh(1.90),tanh(1.90)-0.95623746],_
[1.91,0.95708542,tanh(1.91),tanh(1.91)-0.95708542],_
[1.92,0.95791731,tanh(1.92),tanh(1.92)-0.95791731],_
[1.93,0.95873341,tanh(1.93),tanh(1.93)-0.95873341],_
[1.94,0.95953401,tanh(1.94),tanh(1.94)-0.95953401],_
[1.95,0.96031939,tanh(1.95),tanh(1.95)-0.96031939],_
[1.96,0.96108983,tanh(1.96),tanh(1.96)-0.96108983],_
[1.97,0.96184561,tanh(1.97),tanh(1.97)-0.96184561],_
[1.98,0.96258698,tanh(1.98),tanh(1.98)-0.96258698],_
[1.99,0.96331422,tanh(1.99),tanh(1.99)-0.96331422],_
[2.00,0.96402758,tanh(2.00),tanh(2.00)-0.96402758]]
--R
--R
--R   (1)
--R   [[0.0,0.0,0.0,0.0],
--R    [0.01,0.00999967,0.0099996666 7999946033 94,- 0.3320000539 661 E -8],
--R    [0.02,0.01999733,0.0199973337 5993093183,0.3759930931 83 E -8],
--R    [0.03,0.029991,0.0299910032 3882014458 6,0.3238820144 586 E -8],
--R    [0.04,0.03997868,0.0399786803 1116357051,0.3111635705 1 E -9],
--R    [0.05,0.04995838,0.0499583749 5787997219 8,- 0.5042120027 802 E -8],
--R    [0.06,0.0599281,0.0599281035 2914350154 2,0.3529143501 54 E -8],
--R    [0.07,0.06988589,0.0698858903 1642898589,0.3164289858 9 E -9],
--R    [0.08,0.07982977,0.0798297691 1113136183 9,- 0.8888686381 61 E -9],
--R    [0.09,0.08975779,0.0897577847 4716010803 6,- 0.5252839891 96 E -8],
--R    [0.1,0.099668,0.0996679946 2495581711 9,- 0.5375044182 88 E -8],
--R    [0.11,0.10955847,0.1095584702 1442952908,0.2144295290 8 E -9],
--R    [0.12,0.1194273,0.1194272985 3438588961,- 0.1465614110 39 E -8],
--R    [0.13,0.12927258,0.1292725836 0605833328,0.3606058333 28 E -8],
--R    [0.14,0.13909245,0.1390924478 784580318,- 0.2121541968 2 E -8],
--R    [0.15,0.14888503,0.1488850336 233179743,0.3623317974 3 E -8],
--R    [0.16,0.1586485,0.1586485042 9749891877,0.4297498918 77 E -8],
--R    [0.17,0.16838105,0.1683810458 7081470823,- 0.4129185291 77 E -8],
--R    [0.18,0.17808087,0.1780808681 1733019976,- 0.1882669800 24 E -8],
--R    [0.19,0.18774621,0.1877462058 6828540771,- 0.4131714592 29 E -8],
--R    [0.2,0.19737532,0.1973753202 2490400074,0.2249040007 4 E -9],
--R    [0.21,0.2069665,0.2069664997 2945258659,- 0.2705474134 1 E -9],
--R    [0.22,0.21651806,0.2165180614 9302883095,0.1493028830 95 E -8],
--R    [0.23,0.22602835,0.2260283522 7867094146,0.2278670941 46 E -8],
--R    [0.24,0.23549575,0.2354957495 3849795383,- 0.4615020461 7 E -9],
--R    [0.25,0.24491866,0.2449186624 0370912928,0.2403709129 28 E -8],
--R    [0.26,0.25429553,0.2542955326 2639115734,0.2626391157 34 E -8],
--R    [0.27,0.26362484,0.2636248354 7220330218,- 0.4527796697 82 E -8],
--R    [0.28,0.27290508,0.2729050805 6313268583,0.5631326858 3 E -9],
--R    [0.29,0.28213481,0.2821348126 69634126,0.2669634126 E -8],
--R    [0.3,0.29131261,0.2913126124 5159090582,0.2451590905 82 E -8],
--R    [0.31,0.3004371,0.3004370971 4765412566,- 0.2852345874 34 E -8],

--R    [0.32,0.30950692,0.3095069212 1263846218,0.1212638462 2 E -8],
--R    [0.33,0.31852078,0.3185207769 0277084152,- 0.3097229158 48 E -8],
--R    [0.34,0.3274774,0.3274773948 0870534188,- 0.5191294658 12 E -8],
--R    [0.35,0.33637554,0.3363755443 3633221306,0.4336332213 06 E -8],
--R    [0.36,0.34521403,0.3452140341 3552089347,0.4135520893 47 E -8],
--R    [0.37,0.35399171,0.3539917124 7704599471,0.2477045994 71 E -8],
--R    [0.38,0.36270747,0.3627074675 7805110773,- 0.2421948892 27 E -8],
--R    [0.39,0.37136023,0.3713602278 7650768234,- 0.2123492317 66 E -8],
--R    [0.4,0.37994896,0.3799489622 5522488527,0.2255224885 27 E -8],
--R    [0.41,0.38847268,0.3884726802 1606101676,0.2160610168 E -9],
--R    [0.42,0.39693043,0.3969304320 0507755095,0.2005077550 95 E -8],
--R    [0.43,0.40532131,0.4053213086 8946297362,- 0.1310537026 4 E -8],
--R    [0.44,0.41364444,0.4136444421 8713516018,0.2187135160 18 E -8],
--R    [0.45,0.42189901,0.4218990052 5000792693,- 0.4749992073 07 E -8],
--R    [0.46,0.43008421,0.4300842114 0197948596,0.1401979486 E -8],
--R    [0.47,0.43819932,0.4381993148 3276774568,- 0.5167232254 32 E -8],
--R    [0.48,0.44624361,0.4462436102 4877965713,0.2487796571 3 E -9],
--R    [0.49,0.45421643,0.4542164326 8225906516,0.2682259065 16 E -8],
--R    [0.5,0.46211716,0.4621171572 600097585,- 0.2739990241 5 E -8],
--R    [0.51,0.4699452,0.4699451989 3303762132,- 0.1066962378 7 E -8],
--R    [0.52,0.47770001,0.4777000121 684979886,0.2168497988 6 E -8],
--R    [0.53,0.48538109,0.4853810906 0537153481,0.6053715348 1 E -9],
--R    [0.54,0.49298797,0.4929879666 7532433568,- 0.3324675664 32 E -8],
--R    [0.55,0.50052021,0.5005202111 9023520842,0.1190235208 4 E -8],
--R    [0.56,0.50797743,0.5079774328 9789614585,0.2897896145 9 E -8],
--R    [0.57,0.51535928,0.5153592780 0740971805,- 0.1992590281 9 E -8],
--R    [0.58,0.52266543,0.5226654296 858208395,- 0.3141791605 E -9],
--R    [0.59,0.52989561,0.5298956075 2752942099,- 0.2472470579 E -8],
--R    [0.6,0.53704957,0.5370495669 9803528586,- 0.3001964714 1 E -8],
--R    [0.61,0.5441271,0.5441270988 5356748241,- 0.1146432517 6 E -8],
--R    [0.62,0.55112803,0.5511280285 3814693008,- 0.1461853069 9 E -8],
--R    [0.63,0.55805222,0.5580522155 596243666,- 0.4440375633 4 E -8],
--R    [0.64,0.56489955,0.5648995528 4622499294,0.2846224992 9 E -8],
--R    [0.65,0.57166997,0.5716699660 851172252,- 0.3914882774 8 E -8],
--R    [0.66,0.57836341,0.5783634130 4450574496,0.3044505745 E -8],
--R    [0.67,0.58497988,0.5849798828 8072878147,0.2880728781 5 E -8],
--R    [0.68,0.5915194,0.5915193954 3181645487,- 0.4568183545 13 E -8],
--R    [0.69,0.597982,0.5979820004 9894125254,0.4989412525 4 E -9],
--R    [0.7,0.60436778,0.6043677771 1716349631,- 0.2882836503 7 E -8],
--R    [0.71,0.61067683,0.6106768328 1684418132,0.2816844181 3 E -8],
--R    [0.72,0.6169093,0.6169093028 7706502085,0.2877065020 8 E -8],
--R    [0.73,0.62306535,0.6230653495 723611072,- 0.4276388928 E -9],
--R    [0.74,0.62914516,0.6291451614 140354854,0.1414035485 4 E -8],
--R    [0.75,0.63514895,0.6351489523 8728731921,0.2387287319 2 E -8],
--R    [0.76,0.64107696,0.6410769611 8534638918,0.1185346389 2 E -8],
--R    [0.77,0.64692945,0.6469294504 4176657733,0.4417665773 E -9],
--R    [0.78,0.65270671,0.6527067059 6198993346,- 0.4038010066 55 E -8],
--R    [0.79,0.65840904,0.6584090359 5525105073,- 0.4044748949 27 E -8],
--R    [0.8,0.66403677,0.6640367702 6784896369,0.2678489637 E -9],
--R    [0.81,0.66959026,0.6695902596 1877077296,- 0.381229227 E -9],

--R    [0.82,0.67506987,0.6750698748 386078472,0.4838607847 2 E -8],
--R    [0.83,0.68047601,0.6804760061 1266189234,- 0.3887338107 66 E -8],
--R    [0.84,0.68580906,0.6858090622 290945476,0.2229094547 6 E -8],
--R    [0.85,0.69106947,0.6910694698 3293059133,- 0.1670694087 E -9],
--R    [0.86,0.69625767,0.6962576726 8668143869,0.2686681438 7 E -8],
--R    [0.87,0.70137413,0.7013741309 3831249855,0.9383124985 5 E -9],
--R    [0.88,0.70641932,0.7064193203 9723523504,0.397235235 E -9],
--R    [0.89,0.71139373,0.7113937318 1896254629,0.1818962546 3 E -8],
--R    [0.9,0.71629787,0.7162978701 9902442081,0.1990244208 E -9],
--R    [0.91,0.72113225,0.7211322540 7669984382,0.4076699843 82 E -8],
--R    [0.92,0.72589742,0.7258974148 4908067729,- 0.5150919322 71 E -8],
--R    [0.93,0.7305939,0.7305938960 9594379981,- 0.3904056200 19 E -8],
--R    [0.94,0.73522225,0.7352222529 1586922682,0.2915869226 8 E -8],
--R    [0.95,0.73978305,0.7397830512 7400429569,0.1274004295 7 E -8],
--R    [0.96,0.74427687,0.7442768673 6183734344,- 0.2638162656 6 E -8],
--R    [0.97,0.74870429,0.7487042869 6930867119,- 0.3030691328 8 E -8],
--R    [0.98,0.75306591,0.7530659048 6955201716,- 0.5130447982 84 E -8],
--R    [0.99,0.75736232,0.7573623242 1652628152,0.4216526281 52 E -8],
--R    [1.0,0.76159416,0.7615941559 5576488812,- 0.4044235111 88 E -8],
--R    [1.01,0.76576202,0.7657620182 4843895284,- 0.1751561047 2 E -8],
--R    [1.02,0.76986654,0.7698665359 0890037199,- 0.4091099628 01 E -8],
--R    [1.03,0.77390834,0.7739083398 5584205966,- 0.1441579403 E -9],
--R    [1.04,0.77788807,0.7778880665 7718485812,- 0.3422815141 9 E -8],
--R    [1.05,0.78180636,0.7818063576 087741234,- 0.2391225876 6 E -8],
--R    [1.06,0.78566386,0.7856638590 2694365005,- 0.9730563499 5 E -9],
--R    [1.07,0.78946122,0.7894612209 5498044002,0.9549804400 2 E -9],
--R    [1.08,0.7931991,0.7931990970 8350083423,- 0.2916499165 8 E -8],
--R    [1.09,0.79687814,0.7968781442 0472670169,0.4204726701 69 E -8],
--R    [1.1,0.80049902,0.8004990217 6062970601,0.1760629706 E -8],
--R    [1.11,0.80406239,0.8040623914 0489212927,0.1404892129 3 E -8],
--R    [1.12,0.80756892,0.8075689165 7861430767,- 0.3421385692 3 E -8],
--R    [1.13,0.81101926,0.8110192620 9968140547,0.2099681405 5 E -8],
--R    [1.14,0.81441409,0.8144140937 6568599783,0.3765685997 83 E -8],
--R    [1.15,0.81775408,0.8177540779 7028772932,- 0.2029712270 7 E -8],
--R    [1.16,0.82103988,0.8210398813 3287713399,0.1332877134 E -8],
--R    [1.17,0.82427217,0.8242721703 4139752183,0.3413975218 E -9],
--R    [1.18,0.82745161,0.8274516110 0816662528,0.1008166625 3 E -8],
--R    [1.19,0.83057887,0.8305788685 3852843014,- 0.1461471569 9 E -8],
--R    [1.2,0.83365461,0.8336546070 1215525867,- 0.2987844741 3 E -8],
--R    [1.21,0.83667949,0.8366794890 7681069839,- 0.9231893016 1 E -9],
--R    [1.22,0.83965418,0.8396541756 5437534711,- 0.4345624652 89 E -8],
--R    [1.23,0.84257933,0.8425793256 5892954289,- 0.4341070457 11 E -8],
--R    [1.24,0.8454556,0.8454555957 2668023505,- 0.4273319764 96 E -8],
--R    [1.25,0.84828364,0.8482836399 5751289761,- 0.424871024 E -10],
--R    [1.26,0.85106411,0.8510641096 6794385925,- 0.3320561407 E -9],
--R    [1.27,0.85379765,0.8537976531 55243591,0.3155243591 E -8],
--R    [1.28,0.85648492,0.8564849154 7249732563,- 0.4527502674 37 E -8],
--R    [1.29,0.85912654,0.8591265382 1436584793,- 0.1785634152 1 E -8],
--R    [1.3,0.86172316,0.8617231593 1330636429,- 0.6866936357 1 E -9],
--R    [1.31,0.86427541,0.8642754128 4601100184,0.2846011001 8 E -8],

--R    [1.32,0.86678393,0.8667839288 4981867301,- 0.1150181327 E -8],
--R    [1.33,0.86924933,0.8692493331 4885474185,0.3148854741 8 E -8],
--R    [1.34,0.87167225,0.8716722471 8965211443,- 0.2810347885 6 E -8],
--R    [1.35,0.87405329,0.8740532878 8600702097,- 0.2113992979 E -8],
--R    [1.36,0.87639307,0.8763930674 7282283326,- 0.2527177166 7 E -8],
--R    [1.37,0.87869219,0.8786921933 6869574227,0.3368695742 3 E -8],
--R    [1.38,0.88095127,0.8809512680 4699698152,- 0.1953003018 5 E -8],
--R    [1.39,0.88317089,0.8831708889 1520749667,- 0.1084792503 3 E -8],
--R    [1.4,0.88535165,0.8853516482 0226250758,- 0.1797737492 4 E -8],
--R    [1.41,0.88749413,0.8874941328 5366526128,0.2853665261 3 E -8],
--R    [1.42,0.88959892,0.8895989244 3413141195,0.4434131411 95 E -8],
--R    [1.43,0.8916666,0.8916665990 3752786391,- 0.9624721360 9 E -9],
--R    [1.44,0.89369773,0.8936977272 0387255605,- 0.2796127443 9 E -8],
--R    [1.45,0.89569287,0.8956928738 4316453044,0.3843164530 44 E -8],
--R    [1.46,0.8976526,0.8976525981 6581669501,- 0.1834183305 E -8],
--R    [1.47,0.89957745,0.8995774536 1946694194,0.3619466941 9 E -8],
--R    [1.48,0.90146799,0.9014679878 3194670176,- 0.2168053298 2 E -8],
--R    [1.49,0.90332474,0.9033247425 6018958154,0.2560189581 5 E -8],
--R    [1.5,0.90514825,0.9051482536 4486643824,0.3644866438 2 E -8],
--R    [1.51,0.90693905,0.9069390509 705370591,0.9705370591 E -9],
--R    [1.52,0.90869766,0.9086976584 3111254663,- 0.1568887453 4 E -8],
--R    [1.53,0.91042459,0.9104245939 004265213,0.3900426521 3 E -8],
--R    [1.54,0.91212037,0.9121203692 077173486,- 0.7922826513 9 E -9],
--R    [1.55,0.91378549,0.9137854901 1782775489,0.1178277549 E -9],
--R    [1.56,0.91542046,0.9154204563 1593240882,- 0.3684067591 2 E -8],
--R    [1.57,0.91702576,0.9170257613 9660829878,0.1396608298 8 E -8],
--R    [1.58,0.91860189,0.9186018928 5706702341,0.2857067023 4 E -8],
--R    [1.59,0.92014933,0.9201493320 9437242057,0.2094372420 6 E -8],
--R    [1.6,0.92166855,0.9216685544 0647128268,0.4406471282 68 E -8],
--R    [1.61,0.92316003,0.9231600289 9686923262,- 0.1003130767 4 E -8],
--R    [1.62,0.92462422,0.9246242189 8278815827,- 0.1017211841 7 E -8],
--R    [1.63,0.92606158,0.9260615814 0664591708,0.1406645917 1 E -8],
--R    [1.64,0.92747257,0.9274725672 5070331722,- 0.2749296682 8 E -8],
--R    [1.65,0.92885762,0.9288576214 5472765445,0.1454727654 4 E -8],
--R    [1.66,0.93021718,0.9302171829 3652632524,0.2936526325 2 E -8],
--R    [1.67,0.93155168,0.9315516846 1520824452,0.4615208244 51 E -8],
--R    [1.68,0.93286155,0.9328615534 3703496255,0.3437034962 6 E -8],
--R    [1.69,0.93414721,0.9341472104 0372749847,0.4037274985 E -9],
--R    [1.7,0.93540907,0.9354090706 0309898052,0.6030989805 2 E -9],
--R    [1.71,0.93664754,0.9366475432 4188720437,0.3241887204 4 E -8],
--R    [1.72,0.93786303,0.9378630316 8066518501,0.1680665185 E -8],
--R    [1.73,0.93905593,0.9390559334 7071168332,0.3470711683 3 E -8],
--R    [1.74,0.94022664,0.9402266403 9272753171,0.3927275317 E -9],
--R    [1.75,0.94137554,0.9413755384 9728736227,- 0.1502712637 7 E -8],
--R    [1.76,0.94250301,0.9425030081 4692005344,- 0.1853079946 6 E -8],
--R    [1.77,0.94360942,0.9436094240 5971485511,0.4059714855 11 E -8],
--R    [1.78,0.94469516,0.9446951553 5435372611,- 0.4645646273 89 E -8],
--R    [1.79,0.94576057,0.9457605655 9647392056,- 0.4403526079 44 E -8],
--R    [1.8,0.94680601,0.9468060128 4626828964,0.2846268289 6 E -8],
--R    [1.81,0.94783185,0.9478318497 0723412158,- 0.2927658784 E -9],

--R    [1.82,0.94883842,0.9488384233 7598462509,0.3375984625 1 E -8],
--R    [1.83,0.94982608,0.9498260756 9304036887,- 0.4306959631 13 E -8],
--R    [1.84,0.95079514,0.9507951431 9452112204,0.3194521122 E -8],
--R    [1.85,0.95174596,0.9517459571 6466159744,- 0.2835338402 6 E -8],
--R    [1.86,0.95267884,0.9526788436 8907758132,0.3689077581 3 E -8],
--R    [1.87,0.95359412,0.9535941237 0871183917,0.3708711839 2 E -8],
--R    [1.88,0.95449211,0.9544921130 7439201893,0.3074392018 9 E -8],
--R    [1.89,0.95537312,0.9553731226 0193552915,0.2601935529 1 E -8],
--R    [1.9,0.95623746,0.9562374581 2773905209,- 0.1872260947 9 E -8],
--R    [1.91,0.95708542,0.9570854205 6479296064,0.5647929606 4 E -9],
--R    [1.92,0.95791731,0.9579173059 5906344306,- 0.4040936556 95 E -8],
--R    [1.93,0.95873341,0.9587334055 4618760356,- 0.4453812396 44 E -8],
--R    [1.94,0.95953401,0.9595340058 0842919816,- 0.4191570801 84 E -8],
--R    [1.95,0.96031939,0.9603193885 3184498689,- 0.1468155013 1 E -8],
--R    [1.96,0.96108983,0.9610898308 6361393517,0.8636139351 7 E -9],
--R    [1.97,0.96184561,0.9618456053 6948368021,- 0.4630516319 79 E -8],
--R    [1.98,0.96258698,0.9625869800 9129079438,0.9129079438 E -10],
--R    [1.99,0.96331422,0.9633142186 0451342618,- 0.1395486573 8 E -8],
--R    [2.0,0.96402758,0.9640275800 7581688395,0.7581688395 E -10]]
--R                                                      Type: List(List(Float))
--E 1

———-

In the following table there are 4 columns. The first column is the argument of coth, ranging from 0.01 to 2.00. The second column is the reference value of coth from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp213-216

— * —

--S 2 of 2
[[0.01,100.0033333,coth(0.01),coth(0.01)-100.003333],_
[0.02,50.0066665,coth(0.02),coth(0.02)-50.0066665],_
[0.03,33.3433327,coth(0.03),coth(0.03)-33.3433327],_
[0.04,25.0133319,coth(0.04),coth(0.04)-25.0133319],_
[0.05,20.0166639,coth(0.05),coth(0.05)-20.0166639],_
[0.06,16.6866619,coth(0.06),coth(0.06)-16.6866619],_
[0.07,14.3090400,coth(0.07),coth(0.07)-14.3090400],_
[0.08,12.5266553,coth(0.08),coth(0.08)-12.5266553],_
[0.09,11.1410949,coth(0.09),coth(0.09)-11.1410949],_
[0.10,10.0333111,coth(0.10),coth(0.10)-10.0333111],_
[0.11,9.1275462,coth(0.11),coth(0.11)-9.1275462],_
[0.12,8.3732950,coth(0.12),coth(0.12)-8.3732950],_
[0.13,7.7355923,coth(0.13),coth(0.13)-7.7355923],_
[0.14,7.1894629,coth(0.14),coth(0.14)-7.1894629],_
[0.15,6.7165918,coth(0.15),coth(0.15)-6.7165918],_
[0.16,6.3032425,coth(0.16),coth(0.16)-6.3032425],_
[0.17,5.9389107,coth(0.17),coth(0.17)-5.9389107],_
[0.18,5.6154264,coth(0.18),coth(0.18)-5.6154264],_
[0.19,5.3263393,coth(0.19),coth(0.19)-5.3263393],_

[0.20,5.0664896,coth(0.20),coth(0.20)-5.0664896],_
[0.21,4.8316998,coth(0.21),coth(0.21)-4.8316998],_
[0.22,4.6185523,coth(0.22),coth(0.22)-4.6185523],_
[0.23,4.4242237,coth(0.23),coth(0.23)-4.4242237],_
[0.24,4.2463611,coth(0.24),coth(0.24)-4.2463611],_
[0.25,4.0829882,coth(0.25),coth(0.25)-4.0829882],_
[0.26,3.9324324,coth(0.26),coth(0.26)-3.9324324],_
[0.27,3.7932693,coth(0.27),coth(0.27)-3.7932693],_
[0.28,3.6642777,coth(0.28),coth(0.28)-3.6642777],_
[0.29,3.5444049,coth(0.29),coth(0.29)-3.5444049],_
[0.30,3.4327384,coth(0.30),coth(0.30)-3.4327384],_
[0.31,3.3284838,coth(0.31),coth(0.31)-3.3284838],_
[0.32,3.2309455,coth(0.32),coth(0.32)-3.2309455],_
[0.33,3.1395126,coth(0.33),coth(0.33)-3.1395126],_
[0.34,3.0536459,coth(0.34),coth(0.34)-3.0536459],_
[0.35,2.9728677,coth(0.35),coth(0.35)-2.9728677],_
[0.36,2.8967536,coth(0.36),coth(0.36)-2.8967536],_
[0.37,2.8249249,coth(0.37),coth(0.37)-2.8249249],_
[0.38,2.7570428,coth(0.38),coth(0.38)-2.7570428],_
[0.39,2.6928032,coth(0.39),coth(0.39)-2.6928032],_
[0.40,2.6319324,coth(0.40),coth(0.40)-2.6319324],_
[0.41,2.5741836,coth(0.41),coth(0.41)-2.5741836],_
[0.42,2.5193332,coth(0.42),coth(0.42)-2.5193332],_
[0.43,2.4671785,coth(0.43),coth(0.43)-2.4671785],_
[0.44,2.4175352,coth(0.44),coth(0.44)-2.4175352],_
[0.45,2.3702355,coth(0.45),coth(0.45)-2.3702355],_
[0.46,2.3251260,coth(0.46),coth(0.46)-2.3251260],_
[0.47,2.2820666,coth(0.47),coth(0.47)-2.2820666],_
[0.48,2.2409284,coth(0.48),coth(0.48)-2.2409284],_
[0.49,2.2015936,coth(0.49),coth(0.49)-2.2015936],_
[0.50,2.1639534,coth(0.50),coth(0.50)-2.1639534],_
[0.51,2.1279077,coth(0.51),coth(0.51)-2.1279077],_
[0.52,2.0933640,coth(0.52),coth(0.52)-2.0933640],_
[0.53,2.0602368,coth(0.53),coth(0.53)-2.0602368],_
[0.54,2.0284471,coth(0.54),coth(0.54)-2.0284471],_
[0.55,1.9979213,coth(0.55),coth(0.55)-1.9979213],_
[0.56,1.9685914,coth(0.56),coth(0.56)-1.9685914],_
[0.57,1.9403939,coth(0.57),coth(0.57)-1.9403939],_
[0.58,1.9132698,coth(0.58),coth(0.58)-1.9132698],_
[0.59,1.8871642,coth(0.59),coth(0.59)-1.8871642],_
[0.60,1.8620255,coth(0.60),coth(0.60)-1.8620255],_
[0.61,1.8378059,coth(0.61),coth(0.61)-1.8378059],_
[0.62,1.8144604,coth(0.62),coth(0.62)-1.8144604],_
[0.63,1.7919470,coth(0.63),coth(0.63)-1.7919470],_
[0.64,1.7702262,coth(0.64),coth(0.64)-1.7702262],_
[0.65,1.7492610,coth(0.65),coth(0.65)-1.7492610],_
[0.66,1.7290167,coth(0.66),coth(0.66)-1.7290167],_
[0.67,1.7094605,coth(0.67),coth(0.67)-1.7094605],_
[0.68,1.6905616,coth(0.68),coth(0.68)-1.6905616],_
[0.69,1.6722911,coth(0.69),coth(0.69)-1.6722911],_

[0.70,1.6546216,coth(0.70),coth(0.70)-1.6546216],_
[0.71,1.6375273,coth(0.71),coth(0.71)-1.6375273],_
[0.72,1.6209838,coth(0.72),coth(0.72)-1.6209838],_
[0.73,1.6049681,coth(0.73),coth(0.73)-1.6049681],_
[0.74,1.5894583,coth(0.74),coth(0.74)-1.5894583],_
[0.75,1.5744338,coth(0.75),coth(0.75)-1.5744338],_
[0.76,1.5598751,coth(0.76),coth(0.76)-1.5598751],_
[0.77,1.5457636,coth(0.77),coth(0.77)-1.5457636],_
[0.78,1.5320817,coth(0.78),coth(0.78)-1.5320817],_
[0.79,1.5188127,coth(0.79),coth(0.79)-1.5188127],_
[0.80,1.5059407,coth(0.80),coth(0.80)-1.5059407],_
[0.81,1.4934506,coth(0.81),coth(0.81)-1.4934506],_
[0.82,1.4813281,coth(0.82),coth(0.82)-1.4813281],_
[0.83,1.4695595,coth(0.83),coth(0.83)-1.4695595],_
[0.84,1.4581318,coth(0.84),coth(0.84)-1.4581318],_
[0.85,1.4470325,coth(0.85),coth(0.85)-1.4470325],_
[0.86,1.4362499,coth(0.86),coth(0.86)-1.4362499],_
[0.87,1.4257726,coth(0.87),coth(0.87)-1.4257726],_
[0.88,1.4155898,coth(0.88),coth(0.88)-1.4155898],_
[0.89,1.4056913,coth(0.89),coth(0.89)-1.4056913],_
[0.90,1.3960673,coth(0.90),coth(0.90)-1.3960673],_
[0.91,1.3867082,coth(0.91),coth(0.91)-1.3867082],_
[0.92,1.3776051,coth(0.92),coth(0.92)-1.3776051],_
[0.93,1.3687495,coth(0.93),coth(0.93)-1.3687495],_
[0.94,1.3601329,coth(0.94),coth(0.94)-1.3601329],_
[0.95,1.3517476,coth(0.95),coth(0.95)-1.3517476],_
[0.96,1.3435860,coth(0.96),coth(0.96)-1.3435860],_
[0.97,1.3356408,coth(0.97),coth(0.97)-1.3356408],_
[0.98,1.3279050,coth(0.98),coth(0.98)-1.3279050],_
[0.99,1.3203720,coth(0.99),coth(0.99)-1.3203720],_
[1.00,1.3130353,coth(1.00),coth(1.00)-1.3130353],_
[1.01,1.3058887,coth(1.01),coth(1.01)-1.3058887],_
[1.02,1.2989264,coth(1.02),coth(1.02)-1.2989264],_
[1.03,1.2921427,coth(1.03),coth(1.03)-1.2921427],_
[1.04,1.2855320,coth(1.04),coth(1.04)-1.2855320],_
[1.05,1.2790891,coth(1.05),coth(1.05)-1.2790891],_
[1.06,1.2728090,coth(1.06),coth(1.06)-1.2728090],_
[1.07,1.2666867,coth(1.07),coth(1.07)-1.2666867],_
[1.08,1.2607175,coth(1.08),coth(1.08)-1.2607175],_
[1.09,1.2548970,coth(1.09),coth(1.09)-1.2548970],_
[1.10,1.2492208,coth(1.10),coth(1.10)-1.2492208],_
[1.11,1.2436846,coth(1.11),coth(1.11)-1.2436846],_
[1.12,1.2382844,coth(1.12),coth(1.12)-1.2382844],_
[1.13,1.2330163,coth(1.13),coth(1.13)-1.2330163],_
[1.14,1.2278766,coth(1.14),coth(1.14)-1.2278766],_
[1.15,1.2228615,coth(1.15),coth(1.15)-1.2228615],_
[1.16,1.2179676,coth(1.16),coth(1.16)-1.2179676],_
[1.17,1.2131915,coth(1.17),coth(1.17)-1.2131915],_
[1.18,1.2085299,coth(1.18),coth(1.18)-1.2085299],_
[1.19,1.2039796,coth(1.19),coth(1.19)-1.2039796],_

[1.20,1.1995375,coth(1.20),coth(1.20)-1.1995375],_
[1.21,1.1952008,coth(1.21),coth(1.21)-1.1952008],_
[1.22,1.1909665,coth(1.22),coth(1.22)-1.1909665],_
[1.23,1.1868319,coth(1.23),coth(1.23)-1.1868319],_
[1.24,1.1827942,coth(1.24),coth(1.24)-1.1827942],_
[1.25,1.1788510,coth(1.25),coth(1.25)-1.1788510],_
[1.26,1.1749996,coth(1.26),coth(1.26)-1.1749996],_
[1.27,1.1712377,coth(1.27),coth(1.27)-1.1712377],_
[1.28,1.1675629,coth(1.28),coth(1.28)-1.1675629],_
[1.29,1.1639729,coth(1.29),coth(1.29)-1.1639729],_
[1.30,1.1604655,coth(1.30),coth(1.30)-1.1604655],_
[1.31,1.1570386,coth(1.31),coth(1.31)-1.1570386],_
[1.32,1.1536901,coth(1.32),coth(1.32)-1.1536901],_
[1.33,1.1504179,coth(1.33),coth(1.33)-1.1504179],_
[1.34,1.1472202,coth(1.34),coth(1.34)-1.1472202],_
[1.35,1.1440950,coth(1.35),coth(1.35)-1.1440950],_
[1.36,1.1410405,coth(1.36),coth(1.36)-1.1410405],_
[1.37,1.1380550,coth(1.37),coth(1.37)-1.1380550],_
[1.38,1.1351366,coth(1.38),coth(1.38)-1.1351366],_
[1.39,1.1322837,coth(1.39),coth(1.39)-1.1322837],_
[1.40,1.1294947,coth(1.40),coth(1.40)-1.1294947],_
[1.41,1.1267680,coth(1.41),coth(1.41)-1.1267680],_
[1.42,1.1241021,coth(1.42),coth(1.42)-1.1241021],_
[1.43,1.1214954,coth(1.43),coth(1.43)-1.1214954],_
[1.44,1.1189466,coth(1.44),coth(1.44)-1.1189466],_
[1.45,1.1164541,coth(1.45),coth(1.45)-1.1164541],_
[1.46,1.1140167,coth(1.46),coth(1.46)-1.1140167],_
[1.47,1.1116330,coth(1.47),coth(1.47)-1.1116330],_
[1.48,1.1093017,coth(1.48),coth(1.48)-1.1093017],_
[1.49,1.1070216,coth(1.49),coth(1.49)-1.1070216],_
[1.50,1.1047914,coth(1.50),coth(1.50)-1.1047914],_
[1.51,1.1026099,coth(1.51),coth(1.51)-1.1026099],_
[1.52,1.1004760,coth(1.52),coth(1.52)-1.1004760],_
[1.53,1.0983886,coth(1.53),coth(1.53)-1.0983886],_
[1.54,1.0963465,coth(1.54),coth(1.54)-1.0963465],_
[1.55,1.0943487,coth(1.55),coth(1.55)-1.0943487],_
[1.56,1.0923942,coth(1.56),coth(1.56)-1.0923942],_
[1.57,1.0904819,coth(1.57),coth(1.57)-1.0904819],_
[1.58,1.0886109,coth(1.58),coth(1.58)-1.0886109],_
[1.59,1.0867801,coth(1.59),coth(1.59)-1.0867801],_
[1.60,1.0849887,coth(1.60),coth(1.60)-1.0849887],_
[1.61,1.0832358,coth(1.61),coth(1.61)-1.0832358],_
[1.62,1.0815204,coth(1.62),coth(1.62)-1.0815204],_
[1.63,1.0798418,coth(1.63),coth(1.63)-1.0798418],_
[1.64,1.0781990,coth(1.64),coth(1.64)-1.0781990],_
[1.65,1.0765913,coth(1.65),coth(1.65)-1.0765913],_
[1.66,1.0750178,coth(1.66),coth(1.66)-1.0750178],_
[1.67,1.0734777,coth(1.67),coth(1.67)-1.0734777],_
[1.68,1.0719704,coth(1.68),coth(1.68)-1.0719704],_
[1.69,1.0704951,coth(1.69),coth(1.69)-1.0704951],_

[1.70,1.0690510,coth(1.70),coth(1.70)-1.0690510],_
[1.71,1.0676375,coth(1.71),coth(1.71)-1.0676375],_
[1.72,1.0662538,coth(1.72),coth(1.72)-1.0662538],_
[1.73,1.0648993,coth(1.73),coth(1.73)-1.0648993],_
[1.74,1.0635734,coth(1.74),coth(1.74)-1.0635734],_
[1.75,1.0622753,coth(1.75),coth(1.75)-1.0622753],_
[1.76,1.0610046,coth(1.76),coth(1.76)-1.0610046],_
[1.77,1.0597605,coth(1.77),coth(1.77)-1.0597605],_
[1.78,1.0585425,coth(1.78),coth(1.78)-1.0585425],_
[1.79,1.0573501,coth(1.79),coth(1.79)-1.0573501],_
[1.80,1.0561826,coth(1.80),coth(1.80)-1.0561826],_
[1.81,1.0550395,coth(1.81),coth(1.81)-1.0550395],_
[1.82,1.0539202,coth(1.82),coth(1.82)-1.0539202],_
[1.83,1.0528243,coth(1.83),coth(1.83)-1.0528243],_
[1.84,1.0517513,coth(1.84),coth(1.84)-1.0517513],_
[1.85,1.0507005,coth(1.85),coth(1.85)-1.0507005],_
[1.86,1.0496717,coth(1.86),coth(1.86)-1.0496717],_
[1.87,1.0486642,coth(1.87),coth(1.87)-1.0486642],_
[1.88,1.0476776,coth(1.88),coth(1.88)-1.0476776],_
[1.89,1.0467115,coth(1.89),coth(1.89)-1.0467115],_
[1.90,1.0457653,coth(1.90),coth(1.90)-1.0457653],_
[1.91,1.0448388,coth(1.91),coth(1.91)-1.0448388],_
[1.92,1.0439314,coth(1.92),coth(1.92)-1.0439314],_
[1.93,1.0430428,coth(1.93),coth(1.93)-1.0430428],_
[1.94,1.0421725,coth(1.94),coth(1.94)-1.0421725],_
[1.95,1.0413202,coth(1.95),coth(1.95)-1.0413202],_
[1.96,1.0404855,coth(1.96),coth(1.96)-1.0404855],_
[1.97,1.0396679,coth(1.97),coth(1.97)-1.0396679],_
[1.98,1.0388672,coth(1.98),coth(1.98)-1.0388672],_
[1.99,1.0380829,coth(1.99),coth(1.99)-1.0380829],_
[2.00,1.0373147,coth(2.00),coth(2.00)-1.0373147]]
--R
--R
--R   (2)
--R   [[0.01,100.0033333,100.0033333111 1132275,0.3111113227 5 E -6],
--R    [0.02,50.0066665,50.0066664888 95661105,- 0.111043389 E -7],
--R    [0.03,33.3433327,33.3433327333 84757277,0.3338475727 7 E -7],
--R    [0.04,25.0133319,25.0133319113 27796018,0.1132779602 E -7],
--R    [0.05,20.0166639,20.0166638895 50099248,- 0.1044990075 E -7],
--R    [0.06,16.6866619,16.6866618683 11788711,- 0.3168821128 9 E -7],
--R    [0.07,14.30904,14.3090400003 80691777,0.380691777 E -9],
--R    [0.08,12.5266553,12.5266552958 19479794,- 0.4180520206 E -8],
--R    [0.09,11.1410949,11.1410949235 98139558,0.2359813955 8 E -7],
--R    [0.1,10.0333111,10.0333111322 5398961,0.3225398961 E -7],
--R    [0.11,9.1275462,9.1275462138 41655179,0.1384165517 9 E -7],
--R    [0.12,8.373295,8.3732949859 20466106,- 0.1407953389 4 E -7],
--R    [0.13,7.7355923,7.7355922818 667577388,- 0.1813324226 1 E -7],
--R    [0.14,7.1894629,7.1894629453 485603813,0.4534856038 12 E -7],
--R    [0.15,6.7165918,6.7165918270 201652046,0.2702016520 5 E -7],
--R    [0.16,6.3032425,6.3032425324 653055781,0.3246530557 81 E -7],

--R    [0.17,5.9389107,5.9389107296 982815716,0.2969828157 2 E -7],
--R    [0.18,5.6154264,5.6154263541 72649833,- 0.4582735016 7 E -7],
--R    [0.19,5.3263393,5.3263393280 051508097,0.2800515081 E -7],
--R    [0.2,5.0664896,5.0664895634 394727136,- 0.3656052728 64 E -7],
--R    [0.21,4.8316998,4.8316998224 69838787,0.2246983878 7 E -7],
--R    [0.22,4.6185523,4.6185523420 28042354,0.4202804235 4 E -7],
--R    [0.23,4.4242237,4.4242237308 667251076,0.3086672510 75 E -7],
--R    [0.24,4.2463611,4.2463611422 274259979,0.4222742599 79 E -7],
--R    [0.25,4.0829882,4.0829881650 735965683,- 0.3492640343 17 E -7],
--R    [0.26,3.9324324,3.9324324327 36408036,0.3273640803 6 E -7],
--R    [0.27,3.7932693,3.7932693185 329284388,0.1853292843 88 E -7],
--R    [0.28,3.6642777,3.6642776966 135092065,- 0.3386490793 5 E -8],
--R    [0.29,3.5444049,3.5444048557 416074988,- 0.4425839250 12 E -7],
--R    [0.3,3.4327384,3.4327384303 217415894,0.3032174158 94 E -7],
--R    [0.31,3.3284838,3.3284837641 356108564,- 0.3586438914 36 E -7],
--R    [0.32,3.2309455,3.2309455183 814022485,0.1838140224 85 E -7],
--R    [0.33,3.1395126,3.1395126237 094799327,0.2370947993 27 E -7],
--R    [0.34,3.0536459,3.0536458877 845481399,- 0.1221545186 E -7],
--R    [0.35,2.9728677,2.9728677272 689265964,0.2726892659 64 E -7],
--R    [0.36,2.8967536,2.8967536111 449900164,0.1114499001 6 E -7],
--R    [0.37,2.8249249,2.8249248916 098377328,- 0.8390162267 1 E -8],
--R    [0.38,2.7570428,2.7570427669 367181087,- 0.3306328189 13 E -7],
--R    [0.39,2.6928032,2.6928031731 296236301,- 0.2687037636 99 E -7],
--R    [0.4,2.6319324,2.6319324418 321883572,0.4183218835 72 E -7],
--R    [0.41,2.5741836,2.5741835936 66919577,- 0.6333080423 E -8],
--R    [0.42,2.5193332,2.5193331610 996456868,- 0.3890035431 32 E -7],
--R    [0.43,2.4671785,2.4671784546 273392718,- 0.4537266072 82 E -7],
--R    [0.44,2.4175352,2.4175352017 605355925,0.1760535592 E -8],
--R    [0.45,2.3702355,2.3702355008 100157433,0.8100157433 E -9],
--R    [0.46,2.325126,2.3251260415 726980245,0.4157269802 45 E -7],
--R    [0.47,2.2820666,2.2820665531 657326625,- 0.4683426733 75 E -7],
--R    [0.48,2.2409284,2.2409284458 829619758,0.4588296197 58 E -7],
--R    [0.49,2.2015936,2.2015936193 562076931,0.1935620769 3 E -7],
--R    [0.5,2.1639534,2.1639534137 386528488,0.1373865284 9 E -7],
--R    [0.51,2.1279077,2.1279076842 79778673,- 0.1572022132 7 E -7],
--R    [0.52,2.093364,2.0933639826 813995967,- 0.1731860040 33 E -7],
--R    [0.53,2.0602368,2.0602368311 315780091,0.3113157800 91 E -7],
--R    [0.54,2.0284471,2.0284470770 025658705,- 0.2299743412 95 E -7],
--R    [0.55,1.9979213,1.9979213179 463896248,0.1794638962 48 E -7],
--R    [0.56,1.9685914,1.9685913885 883209462,- 0.1141167905 38 E -7],
--R    [0.57,1.9403939,1.9403939012 535294422,0.1253529442 2 E -8],
--R    [0.58,1.9132698,1.9132698342 056208124,0.3420562081 24 E -7],
--R    [0.59,1.8871642,1.8871641617 600075376,- 0.3823999246 24 E -7],
--R    [0.6,1.8620255,1.8620255213 866662476,0.2138666624 76 E -7],
--R    [0.61,1.8378059,1.8378059135 575501759,0.1355755017 59 E -7],
--R    [0.62,1.8144604,1.8144604306 416324911,0.3064163249 11 E -7],
--R    [0.63,1.791947,1.7919470116 200198016,0.1162001980 16 E -7],
--R    [0.64,1.7702262,1.7702262197 970203553,0.1979702035 53 E -7],
--R    [0.65,1.749261,1.7492610410 306350676,0.4103063506 76 E -7],
--R    [0.66,1.7290167,1.7290167003 061253871,0.3061253871 E -9],

--R    [0.67,1.7094605,1.7094604947 361744339,- 0.5263825566 1 E -8],
--R    [0.68,1.6905616,1.6905616412 966267409,0.4129662674 09 E -7],
--R    [0.69,1.6722911,1.6722911378 028518669,0.3780285186 7 E -7],
--R    [0.7,1.6546216,1.6546216358 026294047,0.3580262940 47 E -7],
--R    [0.71,1.6375273,1.6375273242 106478561,0.2421064785 61 E -7],
--R    [0.72,1.6209838,1.6209838226 402554549,0.2264025545 49 E -7],
--R    [0.73,1.6049681,1.6049680835 025519782,- 0.1649744802 18 E -7],
--R    [0.74,1.5894583,1.5894583020 434418638,0.2043441863 8 E -8],
--R    [0.75,1.5744338,1.5744338335 777364887,0.3357773648 87 E -7],
--R    [0.76,1.5598751,1.5598751172 573846082,0.1725738460 82 E -7],
--R    [0.77,1.5457636,1.5457636057 797852649,0.5779785264 9 E -8],
--R    [0.78,1.5320817,1.5320817005 030656562,0.5030656562 E -9],
--R    [0.79,1.5188127,1.5188126914 891934625,- 0.8510806537 49 E -8],
--R    [0.8,1.5059407,1.5059407020 437066212,0.2043706621 2 E -8],
--R    [0.81,1.4934506,1.4934506373 634333213,0.3736343332 13 E -7],
--R    [0.82,1.4813281,1.4813281369 414902969,0.3694149029 69 E -7],
--R    [0.83,1.4695595,1.4695595304 126515262,0.3041265152 62 E -7],
--R    [0.84,1.4581318,1.4581317965 523616189,- 0.3447638381 1 E -8],
--R    [0.85,1.4470325,1.4470325251 696546055,0.2516965460 55 E -7],
--R    [0.86,1.4362499,1.4362498816 584011227,- 0.1834159887 73 E -7],
--R    [0.87,1.4257726,1.4257725739 929697346,- 0.2600703026 54 E -7],
--R    [0.88,1.4155898,1.4155898219 738353763,0.2197383537 63 E -7],
--R    [0.89,1.4056913,1.4056913285 461485888,0.2854614858 88 E -7],
--R    [0.9,1.3960673,1.3960672530 300118351,- 0.4696998816 49 E -7],
--R    [0.91,1.3867082,1.3867081861 153858453,- 0.1388461415 47 E -7],
--R    [0.92,1.3776051,1.3776051264 873387552,0.2648733875 52 E -7],
--R    [0.93,1.3687495,1.3687494589 589029032,- 0.4104109709 68 E -7],
--R    [0.94,1.3601329,1.3601329339 992502041,0.3399925020 41 E -7],
--R    [0.95,1.3517476,1.3517476485 543534541,0.4855435345 41 E -7],
--R    [0.96,1.343586,1.3435860280 658708165,0.2806587081 65 E -7],
--R    [0.97,1.3356408,1.3356408096 017654982,0.9601765498 2 E -8],
--R    [0.98,1.327905,1.3279050260 192333791,0.2601923337 91 E -7],
--R    [0.99,1.320372,1.3203719910 869302267,- 0.8913069773 26 E -8],
--R    [1.0,1.3130353,1.3130352854 993313036,- 0.1450066869 64 E -7],
--R    [1.01,1.3058887,1.3058887437 213768521,0.4372137685 21 E -7],
--R    [1.02,1.2989264,1.2989264416 064081471,0.4160640814 71 E -7],
--R    [1.03,1.2921427,1.2921426847 348261269,- 0.1526517387 31 E -7],
--R    [1.04,1.285532,1.2855319974 249487926,- 0.2575051207 4 E -8],
--R    [1.05,1.2790891,1.2790891123 712411139,0.1237124111 39 E -7],
--R    [1.06,1.272809,1.2728089608 684747719,- 0.3913152522 81 E -7],
--R    [1.07,1.2666867,1.2666866635 834740719,- 0.3641652592 81 E -7],
--R    [1.08,1.2607175,1.2607175218 389451031,0.2183894510 31 E -7],
--R    [1.09,1.254897,1.2548970093 764914129,0.9376491412 86 E -8],
--R    [1.1,1.2492208,1.2492207645 683124166,- 0.3543168758 34 E -7],
--R    [1.11,1.2436846,1.2436845830 492796933,- 0.1695072030 67 E -7],
--R    [1.12,1.2382844,1.2382844107 43108546,0.1074310854 6 E -7],
--R    [1.13,1.2330163,1.2330163372 582033675,0.3725820336 75 E -7],
--R    [1.14,1.2278766,1.2278765896 304695801,- 0.1036953041 99 E -7],
--R    [1.15,1.2228615,1.2228615263 919649847,0.2639196498 47 E -7],
--R    [1.16,1.2179676,1.2179676319 457208259,0.3194572082 59 E -7],

--R    [1.17,1.2131915,1.2131915112 284082387,0.1122840823 87 E -7],
--R    [1.18,1.2085299,1.2085298846 437684793,- 0.1535623152 07 E -7],
--R    [1.19,1.2039796,1.2039795832 508740941,- 0.1674912590 59 E -7],
--R    [1.2,1.1995375,1.1995375441 923507667,0.4419235076 67 E -7],
--R    [1.21,1.1952008,1.1952008063 486731313,0.6348673131 3 E -8],
--R    [1.22,1.1909665,1.1909665062 055588292,0.6205558829 2 E -8],
--R    [1.23,1.1868319,1.1868318739 22329409,- 0.2607767059 1 E -7],
--R    [1.24,1.1827942,1.1827942295 898897106,0.2958988971 06 E -7],
--R    [1.25,1.178851,1.1788509796 677040268,- 0.2033229597 32 E -7],
--R    [1.26,1.1749996,1.1749996135 898220841,0.1358982208 41 E -7],
--R    [1.27,1.1712377,1.1712377005 306348077,0.5306348077 E -9],
--R    [1.28,1.1675629,1.1675628863 216226741,- 0.1367837732 59 E -7],
--R    [1.29,1.1639729,1.1639728905 10901625,- 0.9489098374 98 E -8],
--R    [1.3,1.1604655,1.1604655035 578761464,0.3557876146 4 E -8],
--R    [1.31,1.1570386,1.1570385841 557790704,- 0.1584422092 96 E -7],
--R    [1.32,1.1536901,1.1536900566 75315566,- 0.4332468443 4 E -7],
--R    [1.33,1.1504179,1.1504179087 23037052,0.8723037051 99 E -8],
--R    [1.34,1.1472202,1.1472201888 084516077,- 0.1119154839 23 E -7],
--R    [1.35,1.144095,1.1440950041 142329045,0.4114232904 5 E -8],
--R    [1.36,1.1410405,1.1410405183 642215979,0.1836422159 79 E -7],
--R    [1.37,1.138055,1.1380549497 842232286,- 0.5021577677 14 E -7],
--R    [1.38,1.1351366,1.1351365691 508965597,- 0.3084910344 03 E -7],
--R    [1.39,1.1322837,1.1322836979 242973771,- 0.2075702622 9 E -8],
--R    [1.4,1.1294947,1.1294947064 598964505,0.6459896450 5 E -8],
--R    [1.41,1.126768,1.1267680122 961278243,0.1229612782 43 E -7],
--R    [1.42,1.1241021,1.1241020785 137460187,- 0.2148625398 13 E -7],
--R    [1.43,1.1214954,1.1214954121 634791355,0.1216347913 55 E -7],
--R    [1.44,1.1189466,1.1189465627 586602379,- 0.3724133976 21 E -7],
--R    [1.45,1.1164541,1.1164541208 297026222,0.2082970262 22 E -7],
--R    [1.46,1.1140167,1.1140167165 374565427,0.1653745654 27 E -7],
--R    [1.47,1.111633,1.1116330183 426463597,0.1834264635 97 E -7],
--R    [1.48,1.1093017,1.1093017317 287386746,0.3172873867 46 E -7],
--R    [1.49,1.1070216,1.1070215979 757344389,- 0.2024265561 1 E -8],
--R    [1.5,1.1047914,1.1047913929 825119039,- 0.7017488096 1 E -8],
--R    [1.51,1.1026099,1.1026099261 354731665,0.2613547316 65 E -7],
--R    [1.52,1.100476,1.1004760392 213654987,0.3922136549 87 E -7],
--R    [1.53,1.0983886,1.0983886053 822601088,0.5382260108 8 E -8],
--R    [1.54,1.0963465,1.0963465281 107759211,0.2811077592 11 E -7],
--R    [1.55,1.0943487,1.0943487402 837348018,0.4028373480 18 E -7],
--R    [1.56,1.0923942,1.0923942032 325277949,0.3232527794 9 E -8],
--R    [1.57,1.0904819,1.0904819058 485597183,0.5848559718 3 E -8],
--R    [1.58,1.0886109,1.0886108637 222222566,- 0.3627777774 34 E -7],
--R    [1.59,1.0867801,1.0867801183 139237769,0.1831392377 69 E -7],
--R    [1.6,1.0849887,1.0849887361 557777925,0.3615577779 25 E -7],
--R    [1.61,1.0832358,1.0832358080 826215661,0.8082621566 08 E -8],
--R    [1.62,1.0815204,1.0815204484 911020471,0.4849110204 71 E -7],
--R    [1.63,1.0798418,1.0798417946 256284042,- 0.5374371595 8 E -8],
--R    [1.64,1.078199,1.0781990058 90049072,0.5890049072 E -8],
--R    [1.65,1.0765913,1.0765912631 839666847,- 0.3681603331 53 E -7],
--R    [1.66,1.0750178,1.0750177682 626567093,- 0.3173734329 07 E -7],

--R    [1.67,1.0734777,1.0734777431 19605205,0.4311960520 5 E -7],
--R    [1.68,1.0719704,1.0719704293 907280832,0.2939072808 32 E -7],
--R    [1.69,1.0704951,1.0704950877 793786871,- 0.1222062131 29 E -7],
--R    [1.7,1.069051,1.0690509975 012925984,- 0.2498707401 6 E -8],
--R    [1.71,1.0676375,1.0676374557 486584477,- 0.4425134155 23 E -7],
--R    [1.72,1.0662538,1.0662537771 725412807,- 0.2282745871 93 E -7],
--R    [1.73,1.0648993,1.0648992933 829208457,- 0.6617079154 3 E -8],
--R    [1.74,1.0635734,1.0635733524 656411166,- 0.4753435888 34 E -7],
--R    [1.75,1.0622753,1.0622753185 155995724,0.1851559957 24 E -7],
--R    [1.76,1.0610046,1.0610045711 855353057,- 0.2881446469 43 E -7],
--R    [1.77,1.0597605,1.0597605052 49804028,0.5249804028 E -8],
--R    [1.78,1.0585425,1.0585425301 825555676,0.3018255556 76 E -7],
--R    [1.79,1.0573501,1.0573500697 497555933,- 0.3025024440 67 E -7],
--R    [1.8,1.0561826,1.0561825616 145181279,- 0.3838548187 21 E -7],
--R    [1.81,1.0550395,1.0550394569 552390051,- 0.4304476099 49 E -7],
--R    [1.82,1.0539202,1.0539202200 960428446,0.2009604284 46 E -7],
--R    [1.83,1.0528243,1.0528243281 490774395,0.2814907743 95 E -7],
--R    [1.84,1.0517513,1.0517512706 682097163,- 0.2933179028 37 E -7],
--R    [1.85,1.0507005,1.0507005493 136967107,0.4931369671 07 E -7],
--R    [1.86,1.0496717,1.0496716775 274233515,- 0.2247257664 85 E -7],
--R    [1.87,1.0486642,1.0486641802 183162995,- 0.1978168370 05 E -7],
--R    [1.88,1.0476776,1.0476775934 575597155,- 0.6542440284 5 E -8],
--R    [1.89,1.0467115,1.0467114641 832546561,- 0.3581674534 39 E -7],
--R    [1.9,1.0457653,1.0457653499 141788749,0.4991417887 49 E -7],
--R    [1.91,1.0448388,1.0448388184 72318166,0.1847231816 6 E -7],
--R    [1.92,1.0439314,1.0439314477 1385408,0.4771385408 E -7],
--R    [1.93,1.0430428,1.0430428252 683058841,0.2526830588 41 E -7],
--R    [1.94,1.0421725,1.0421725482 855370847,0.4828553708 47 E -7],
--R    [1.95,1.0413202,1.0413202231 90348688,0.2319034868 8 E -7],
--R    [1.96,1.0404855,1.0404854654 443926981,- 0.3455560730 19 E -7],
--R    [1.97,1.0396679,1.0396678993 151501465,- 0.6848498535 E -9],
--R    [1.98,1.0388672,1.0388671576 517282541,- 0.4234827174 59 E -7],
--R    [1.99,1.0380829,1.0380828816 672411665,- 0.1833275883 35 E -7],
--R    [2.0,1.0373147,1.0373147207 275480959,0.2072754809 59 E -7]]
--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. pp213-216