$SPAD/src/input asinatan.input

Timothy Daly December 3, 2016

Abstract

This compares the asin and atan functions with the tables published in Abramowitz and Stegun.

Contents

2

In the following table there are 4 columns. The first column is the argument of asin(x), ranging from 0.01 to 1.00. The second column is the reference value of tan from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp203-212

— * —

)set break resume
)spool asinatan.output
)set message test on
)set message auto off
)clear all
--S 1 of 2
[[0.01,0.010000166674,asin(0.01),asin(0.01)-0.010000166674],_
[0.02,0.020001333573,asin(0.02),asin(0.02)-0.020001333573],_
[0.03,0.030004501823,asin(0.03),asin(0.03)-0.030004501823],_
[0.04,0.040010674354,asin(0.04),asin(0.04)-0.040010674354],_
[0.05,0.050020856806,asin(0.05),asin(0.05)-0.050020856806],_
[0.06,0.060036058445,asin(0.06),asin(0.06)-0.060036058445],_
[0.07,0.070057293088,asin(0.07),asin(0.07)-0.070057293088],_
[0.08,0.080085580034,asin(0.08),asin(0.08)-0.080085580034],_
[0.09,0.090121945015,asin(0.09),asin(0.09)-0.090121945015],_
[0.10,0.100167421162,asin(0.10),asin(0.10)-0.100167421162],_
[0.11,0.110223049988,asin(0.11),asin(0.11)-0.110223049988],_
[0.12,0.120289882395,asin(0.12),asin(0.12)-0.120289882395],_
[0.13,0.130368979703,asin(0.13),asin(0.13)-0.130368979703],_
[0.14,0.140461414710,asin(0.14),asin(0.14)-0.140461414710],_
[0.15,0.150568272777,asin(0.15),asin(0.15)-0.150568272777],_
[0.16,0.160690652952,asin(0.16),asin(0.16)-0.160690652952],_
[0.17,0.170829669129,asin(0.17),asin(0.17)-0.170829669129],_
[0.18,0.180986451247,asin(0.18),asin(0.18)-0.180986451247],_
[0.19,0.191162146531,asin(0.19),asin(0.19)-0.191162146531],_
[0.20,0.201357920790,asin(0.20),asin(0.20)-0.201357920790],_
[0.21,0.211574959758,asin(0.21),asin(0.21)-0.211574959758],_
[0.22,0.221814470497,asin(0.22),asin(0.22)-0.221814470497],_
[0.23,0.232077682863,asin(0.23),asin(0.23)-0.232077682863],_
[0.24,0.242365851039,asin(0.24),asin(0.24)-0.242365851039],_
[0.25,0.252680255142,asin(0.25),asin(0.25)-0.252680255142],_
[0.26,0.263022202908,asin(0.26),asin(0.26)-0.263022202908],_
[0.27,0.273393031467,asin(0.27),asin(0.27)-0.273393031467],_
[0.28,0.283794109208,asin(0.28),asin(0.28)-0.283794109208],_
[0.29,0.294226837749,asin(0.29),asin(0.29)-0.294226837749],_
[0.30,0.304692654015,asin(0.30),asin(0.30)-0.304692654015],_
[0.31,0.315193032441,asin(0.31),asin(0.31)-0.315193032441],_
[0.32,0.325729487295,asin(0.32),asin(0.32)-0.325729487295],_
[0.33,0.336303575154,asin(0.33),asin(0.33)-0.336303575154],_
[0.34,0.346916897527,asin(0.34),asin(0.34)-0.346916897527],_
[0.35,0.357571103646,asin(0.35),asin(0.35)-0.357571103646],_
[0.36,0.368267893437,asin(0.36),asin(0.36)-0.368267893437],_
[0.37,0.379009020696,asin(0.37),asin(0.37)-0.379009020696],_

[0.38,0.389796296474,asin(0.38),asin(0.38)-0.389796296474],_
[0.39,0.400631592701,asin(0.39),asin(0.39)-0.400631592701],_
[0.40,0.411516846067,asin(0.40),asin(0.40)-0.411516846067],_
[0.41,0.422454062187,asin(0.41),asin(0.41)-0.422454062187],_
[0.42,0.433445320070,asin(0.42),asin(0.42)-0.433445320070],_
[0.43,0.444492776936,asin(0.43),asin(0.43)-0.444492776936],_
[0.44,0.455598673396,asin(0.44),asin(0.44)-0.455598673396],_
[0.45,0.466765339047,asin(0.45),asin(0.45)-0.466765339047],_
[0.46,0.477995198519,asin(0.46),asin(0.46)-0.477995198519],_
[0.47,0.489290778014,asin(0.47),asin(0.47)-0.489290778014],_
[0.48,0.500654712405,asin(0.48),asin(0.48)-0.500654712405],_
[0.49,0.512089752934,asin(0.49),asin(0.49)-0.512089752934],_
[0.50,0.523598775598,asin(0.50),asin(0.50)-0.523598775598],_
[0.51,0.535184790276,asin(0.51),asin(0.51)-0.535184790276],_
[0.52,0.546850950696,asin(0.52),asin(0.52)-0.546850950696],_
[0.53,0.558600565343,asin(0.53),asin(0.53)-0.558600565343],_
[0.54,0.570437109400,asin(0.54),asin(0.54)-0.570437109400],_
[0.55,0.582364237869,asin(0.55),asin(0.55)-0.582364237869],_
[0.56,0.594385800001,asin(0.56),asin(0.56)-0.594385800001],_
[0.57,0.606505855213,asin(0.57),asin(0.57)-0.606505855213],_
[0.58,0.618728690672,asin(0.58),asin(0.58)-0.618728690672],_
[0.59,0.631058840778,asin(0.59),asin(0.59)-0.631058840778],_
[0.60,0.643501108793,asin(0.60),asin(0.60)-0.643501108793],_
[0.61,0.656060590925,asin(0.61),asin(0.61)-0.656060590925],_
[0.62,0.668742703202,asin(0.62),asin(0.62)-0.668742703202],_
[0.63,0.681553211563,asin(0.63),asin(0.63)-0.681553211563],_
[0.64,0.694498265627,asin(0.64),asin(0.64)-0.694498265627],_
[0.65,0.707584436725,asin(0.65),asin(0.65)-0.707584436725],_
[0.66,0.720818760870,asin(0.66),asin(0.66)-0.720818760870],_
[0.67,0.734208787453,asin(0.67),asin(0.67)-0.734208787453],_
[0.68,0.747762634660,asin(0.68),asin(0.68)-0.747762634660],_
[0.69,0.761489052748,asin(0.69),asin(0.69)-0.761489052748],_
[0.70,0.775397496611,asin(0.70),asin(0.70)-0.775397496611],_
[0.71,0.789498209346,asin(0.71),asin(0.71)-0.789498209346],_
[0.72,0.803802318933,asin(0.72),asin(0.72)-0.803802318933],_
[0.73,0.818321950632,asin(0.73),asin(0.73)-0.818321950632],_
[0.74,0.833070358342,asin(0.74),asin(0.74)-0.833070358342],_
[0.75,0.848062078981,asin(0.75),asin(0.75)-0.848062078981],_
[0.76,0.863313115016,asin(0.76),asin(0.76)-0.863313115016],_
[0.77,0.878841151669,asin(0.77),asin(0.77)-0.878841151669],_
[0.78,0.894665817234,asin(0.78),asin(0.78)-0.894665817234],_
[0.79,0.910808997407,asin(0.79),asin(0.79)-0.910808997407],_
[0.80,0.927295218002,asin(0.80),asin(0.80)-0.927295218002],_
[0.81,0.944152115154,asin(0.81),asin(0.81)-0.944152115154],_
[0.82,0.961411018764,asin(0.82),asin(0.82)-0.961411018764],_
[0.83,0.979107684368,asin(0.83),asin(0.83)-0.979107684368],_
[0.84,0.997283222372,asin(0.84),asin(0.84)-0.997283222372],_
[0.85,1.015985293815,asin(0.85),asin(0.85)-1.015985293815],_
[0.86,1.035269672481,asin(0.86),asin(0.86)-1.035269672481],_
[0.87,1.055202320549,asin(0.87),asin(0.87)-1.055202320549],_

[0.88,1.075862200454,asin(0.88),asin(0.88)-1.075862200454],_
[0.89,1.097345169523,asin(0.89),asin(0.89)-1.097345169523],_
[0.90,1.119769514999,asin(0.90),asin(0.90)-1.119769514999],_
[0.91,1.143284061850,asin(0.91),asin(0.91)-1.143284061850],_
[0.92,1.168080485214,asin(0.92),asin(0.92)-1.168080485214],_
[0.93,1.194412844477,asin(0.93),asin(0.93)-1.194412844477],_
[0.94,1.222630305522,asin(0.94),asin(0.94)-1.222630305522],_
[0.95,1.253235897503,asin(0.95),asin(0.95)-1.253235897503],_
[0.96,1.287002217587,asin(0.96),asin(0.96)-1.287002217587],_
[0.97,1.325230809280,asin(0.97),asin(0.97)-1.325230809280],_
[0.98,1.370461484472,asin(0.98),asin(0.98)-1.370461484472],_
[0.99,1.429256853470,asin(0.99),asin(0.99)-1.429256853470],_
[1.00,1.570796326795,asin(1.00),asin(1.00)-1.570796326795]]
--R
--R
--R   (1)
--R   [[0.01,0.0100001666 74,0.0100001666 7416711312 6,0.167113126 E -12],
--R    [0.02,0.0200013335 73,0.0200013335 7339049175 1,0.390491751 E -12],
--R    [0.03,0.0300045018 23,0.0300045018 2347693769,0.47693769 E -12],
--R    [0.04,0.0400106743 54,0.0400106743 5398892622 1,- 0.1107378 E -13],
--R    [0.05,0.0500208568 06,0.0500208568 0577001466 3,- 0.229985337 E -12],
--R    [0.06,0.0600360584 45,0.0600360584 452784225,0.2784225 E -12],
--R    [0.07,0.0700572930 88,0.0700572930 8805025329 9,0.502533 E -13],
--R    [0.08,0.0800855800 34,0.0800855800 3365901374 8,- 0.34098625 E -12],
--R    [0.09,0.0901219450 15,0.0901219450 1459525581 5,- 0.40474419 E -12],
--R    [0.1,0.1001674211 62,0.1001674211 6155979635,- 0.44020365 E -12],
--R    [0.11,0.1102230499 88,0.1102230499 8774663318,- 0.25336682 E -12],
--R    [0.12,0.1202898823 95,0.1202898823 9478807132,- 0.21192868 E -12],
--R    [0.13,0.1303689797 03,0.1303689797 0314551294,0.14551294 E -12],
--R    [0.14,0.1404614147 1,0.1404614147 0985580027,- 0.14419973 E -12],
--R    [0.15,0.1505682727 77,0.1505682727 7668602642,- 0.31397358 E -12],
--R    [0.16,0.1606906529 52,0.1606906529 5191060036,- 0.8939964 E -13],
--R    [0.17,0.1708296691 29,0.1708296691 2910450072,0.1045007 E -12],
--R    [0.18,0.1809864512 47,0.1809864512 4654770725,- 0.45229275 E -12],
--R    [0.19,0.1911621465 31,0.1911621465 3105960346,0.5960346 E -13],
--R    [0.2,0.2013579207 9,0.2013579207 9033079146,0.33079146 E -12],
--R    [0.21,0.2115749597 58,0.2115749597 5809561381,0.9561381 E -13],
--R    [0.22,0.2218144704 97,0.2218144704 9679441094,- 0.20558906 E -12],
--R    [0.23,0.2320776828 63,0.2320776828 6271317742,- 0.28682258 E -12],
--R    [0.24,0.2423658510 39,0.2423658510 3896323277,- 0.3676723 E -13],
--R    [0.25,0.2526802551 42,0.2526802551 4207865349,0.7865349 E -13],
--R    [0.26,0.2630222029 08,0.2630222029 0846889582,0.46889582 E -12],
--R    [0.27,0.2733930314 67,0.2733930314 6747322258,0.47322258 E -12],
--R    [0.28,0.2837941092 08,0.2837941092 0832784562,0.32784563 E -12],
--R    [0.29,0.2942268377 49,0.2942268377 4898247936,- 0.175206 E -13],
--R    [0.3,0.3046926540 15,0.3046926540 1539750797,0.39750797 E -12],
--R    [0.31,0.3151930324 41,0.3151930324 4072444134,- 0.27555866 E -12],
--R    [0.32,0.3257294872 95,0.3257294872 9463015931,- 0.36984069 E -12],
--R    [0.33,0.3363035751 54,0.3363035751 5398034192,- 0.196581 E -13],
--R    [0.34,0.3469168975 27,0.3469168975 2716170922,0.1617092 E -12],

--R    [0.35,0.3575711036 46,0.3575711036 4551028671,- 0.48971329 E -12],
--R    [0.36,0.3682678934 37,0.3682678934 3663998093,- 0.36001907 E -12],
--R    [0.37,0.3790090206 96,0.3790090206 9595081407,- 0.4918592 E -13],
--R    [0.38,0.3897962964 74,0.3897962964 7426056359,0.26056359 E -12],
--R    [0.39,0.4006315927 01,0.4006315927 0137191121,0.37191121 E -12],
--R    [0.4,0.4115168460 67,0.4115168460 6748801938,0.48801938 E -12],
--R    [0.41,0.4224540621 87,0.4224540621 8675575657,- 0.24424343 E -12],
--R    [0.42,0.4334453200 7,0.4334453200 6988597641,- 0.1140236 E -12],
--R    [0.43,0.4444927769 36,0.4444927769 3581903875,- 0.1809612 E -12],
--R    [0.44,0.4555986733 96,0.4555986733 9582336298,- 0.176637 E -12],
--R    [0.45,0.4667653390 47,0.4667653390 4729636185,0.29636185 E -12],
--R    [0.46,0.4779951985 19,0.4779951985 1895237921,- 0.4762079 E -13],
--R    [0.47,0.4892907780 14,0.4892907780 1411571422,0.1157142 E -12],
--R    [0.48,0.5006547124 05,0.5006547124 0458816211,- 0.4118379 E -12],
--R    [0.49,0.5120897529 34,0.5120897529 3414777137,0.1477714 E -12],
--R    [0.5,0.5235987755 98,0.5235987755 9829887308,0.2988731 E -12],
--R    [0.51,0.5351847902 76,0.5351847902 7559984754,- 0.4001525 E -12],
--R    [0.52,0.5468509506 96,0.5468509506 9594410879,- 0.558912 E -13],
--R    [0.53,0.5586005653 43,0.5586005653 4280071945,- 0.1992805 E -12],
--R    [0.54,0.5704371094,0.5704371093 9992190735,- 0.7809265 E -13],
--R    [0.55,0.5823642378 69,0.5823642378 6874344183,- 0.2565582 E -12],
--R    [0.56,0.5943858000 01,0.5943858000 0106220388,0.6220388 E -13],
--R    [0.57,0.6065058552 13,0.6065058552 1308694718,0.8694718 E -13],
--R    [0.58,0.6187286906 72,0.6187286906 7225109051,0.2510905 E -12],
--R    [0.59,0.6310588407 78,0.6310588407 7802138008,0.213801 E -13],
--R    [0.6,0.6435011087 93,0.6435011087 932843868,0.2843868 E -12],
--R    [0.61,0.6560605909 25,0.6560605909 2492264451,- 0.7735549 E -13],
--R    [0.62,0.6687427032 02,0.6687427032 0237175414,0.3717541 E -12],
--R    [0.63,0.6815532115 63,0.6815532115 6311692392,0.1169239 E -12],
--R    [0.64,0.6944982656 27,0.6944982656 2655598784,- 0.4440122 E -12],
--R    [0.65,0.7075844367 25,0.7075844367 2535557545,0.3555755 E -12],
--R    [0.66,0.7208187608 7,0.7208187608 7008963003,0.8963003 E -13],
--R    [0.67,0.7342087874 53,0.7342087874 533589103,0.3589103 E -12],
--R    [0.68,0.7477626346 6,0.7477626346 5992058046,- 0.7941954 E -13],
--R    [0.69,0.7614890527 48,0.7614890527 4763322831,- 0.3667717 E -12],
--R    [0.7,0.7753974966 11,0.7753974966 1075306374,- 0.2469363 E -12],
--R    [0.71,0.7894982093 46,0.7894982093 4617197301,0.171973 E -12],
--R    [0.72,0.8038023189 33,0.8038023189 3303003221,0.300322 E -13],
--R    [0.73,0.8183219506 32,0.8183219506 3155981721,- 0.4401828 E -12],
--R    [0.74,0.8330703583 42,0.8330703583 4164781149,- 0.3521885 E -12],
--R    [0.75,0.8480620789 81,0.8480620789 8148100805,0.48100805 E -12],
--R    [0.76,0.8633131150 16,0.8633131150 1555364761,- 0.4463524 E -12],
--R    [0.77,0.8788411516 69,0.8788411516 6857970602,- 0.420294 E -12],
--R    [0.78,0.8946658172 34,0.8946658172 3423520948,0.2352095 E -12],
--R    [0.79,0.9108089974 07,0.9108089974 0739818925,0.3981893 E -12],
--R    [0.8,0.9272952180 02,0.9272952180 0161223243,- 0.3877676 E -12],
--R    [0.81,0.9441521151 54,0.9441521151 5415595048,0.1559505 E -12],
--R    [0.82,0.9614110187 64,0.9614110187 6410160329,0.1016033 E -12],
--R    [0.83,0.9791076843 68,0.9791076843 6835265479,0.3526548 E -12],
--R    [0.84,0.9972832223 72,0.9972832223 7179986605,- 0.2001339 E -12],

--R    [0.85,1.0159852938 15,1.0159852938 148251312,- 0.1748688 E -12],
--R    [0.86,1.0352696724 81,1.0352696724 805087973,- 0.4912027 E -12],
--R    [0.87,1.0552023205 49,1.0552023205 488061213,- 0.1938787 E -12],
--R    [0.88,1.0758622004 54,1.0758622004 540010964,0.10964 E -14],
--R    [0.89,1.0973451695 23,1.0973451695 228303977,- 0.1696023 E -12],
--R    [0.9,1.1197695149 99,1.1197695149 986341867,- 0.3658133 E -12],
--R    [0.91,1.1432840618 5,1.1432840618 500270323,0.270323 E -13],
--R    [0.92,1.1680804852 14,1.1680804852 142350363,0.2350363 E -12],
--R    [0.93,1.1944128444 77,1.1944128444 771683741,0.1683741 E -12],
--R    [0.94,1.2226303055 22,1.2226303055 21935738,- 0.64262 E -13],
--R    [0.95,1.2532358975 03,1.2532358975 033752587,0.3752587 E -12],
--R    [0.96,1.2870022175 87,1.2870022175 865687736,- 0.4312264 E -12],
--R    [0.97,1.3252308092 8,1.3252308092 796046112,- 0.3953888 E -12],
--R    [0.98,1.3704614844 72,1.3704614844 717770265,- 0.2229735 E -12],
--R    [0.99,1.4292568534 7,1.4292568534 704694005,0.4694005 E -12],
--R    [1.0,1.5707963267 95,1.5707963267 948966192,- 0.103381 E -12]]
--R                                                      Type: List(List(Float))
--E 1

———-

In the following table there are 4 columns. The first column is the argument of atan(x), ranging from 0.01 to 1.00. The second column is the reference value of tan from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp203-212

— * —

--S 2 of 2
[[0.01,0.009999666687,atan(0.01),atan(0.01)-0.009999666687],_
[0.02,0.019997333973,atan(0.02),atan(0.02)-0.019997333973],_
[0.03,0.029991004857,atan(0.03),atan(0.03)-0.029991004857],_
[0.04,0.039978687123,atan(0.04),atan(0.04)-0.039978687123],_
[0.05,0.049958395722,atan(0.05),atan(0.05)-0.049958395722],_
[0.06,0.059928155121,atan(0.06),atan(0.06)-0.059928155121],_
[0.07,0.069886001635,atan(0.07),atan(0.07)-0.069886001635],_
[0.08,0.079829985712,atan(0.08),atan(0.08)-0.079829985712],_
[0.09,0.089758174190,atan(0.09),atan(0.09)-0.089758174190],_
[0.10,0.099668652491,atan(0.10),atan(0.10)-0.099668652491],_
[0.11,0.109559526774,atan(0.11),atan(0.11)-0.109559526774],_
[0.12,0.119428926018,atan(0.12),atan(0.12)-0.119428926018],_
[0.13,0.129275004048,atan(0.13),atan(0.13)-0.129275004048],_
[0.14,0.139095941482,atan(0.14),atan(0.14)-0.139095941482],_
[0.15,0.148889947609,atan(0.15),atan(0.15)-0.148889947609],_
[0.16,0.158655262186,atan(0.16),atan(0.16)-0.158655262186],_
[0.17,0.168390157148,atan(0.17),atan(0.17)-0.168390157148],_
[0.18,0.178092938231,atan(0.18),atan(0.18)-0.178092938231],_
[0.19,0.187761946514,atan(0.19),atan(0.19)-0.187761946514],_
[0.20,0.197395559850,atan(0.20),atan(0.20)-0.197395559850],_
[0.21,0.206992194220,atan(0.21),atan(0.21)-0.206992194220],_
[0.22,0.216550304976,atan(0.22),atan(0.22)-0.216550304976],_

[0.23,0.226068387994,atan(0.23),atan(0.23)-0.226068387994],_
[0.24,0.235544980721,atan(0.24),atan(0.24)-0.235544980721],_
[0.25,0.244978663127,atan(0.25),atan(0.25)-0.244978663127],_
[0.26,0.254368058553,atan(0.26),atan(0.26)-0.254368058553],_
[0.27,0.263711834462,atan(0.27),atan(0.27)-0.263711834462],_
[0.28,0.273008703087,atan(0.28),atan(0.28)-0.273008703087],_
[0.29,0.282257421981,atan(0.29),atan(0.29)-0.282257421981],_
[0.30,0.291456794478,atan(0.30),atan(0.30)-0.291456794478],_
[0.31,0.300605670042,atan(0.31),atan(0.31)-0.300605670042],_
[0.32,0.309702944542,atan(0.32),atan(0.32)-0.309702944542],_
[0.33,0.318747560421,atan(0.33),atan(0.33)-0.318747560421],_
[0.34,0.327738506781,atan(0.34),atan(0.34)-0.327738506781],_
[0.35,0.336674819387,atan(0.35),atan(0.35)-0.336674819387],_
[0.36,0.345555580582,atan(0.36),atan(0.36)-0.345555580582],_
[0.37,0.354379919123,atan(0.37),atan(0.37)-0.354379919123],_
[0.38,0.363147009946,atan(0.38),atan(0.38)-0.363147009946],_
[0.39,0.371856073849,atan(0.39),atan(0.39)-0.371856073849],_
[0.40,0.380506377112,atan(0.40),atan(0.40)-0.380506377112],_
[0.41,0.389097231055,atan(0.41),atan(0.41)-0.389097231055],_
[0.42,0.397627991522,atan(0.42),atan(0.42)-0.397627991522],_
[0.43,0.406098058318,atan(0.43),atan(0.43)-0.406098058318],_
[0.44,0.414506874585,atan(0.44),atan(0.44)-0.414506874585],_
[0.45,0.422853926133,atan(0.45),atan(0.45)-0.422853926133],_
[0.46,0.431138740719,atan(0.46),atan(0.46)-0.431138740719],_
[0.47,0.439360887285,atan(0.47),atan(0.47)-0.439360887285],_
[0.48,0.447519975157,atan(0.48),atan(0.48)-0.447519975157],_
[0.49,0.455615653211,atan(0.49),atan(0.49)-0.455615653211],_
[0.50,0.463647609001,atan(0.50),atan(0.50)-0.463647609001],_
[0.51,0.471615567862,atan(0.51),atan(0.51)-0.471615567862],_
[0.52,0.479519291993,atan(0.52),atan(0.52)-0.479519291993],_
[0.53,0.487358579505,atan(0.53),atan(0.53)-0.487358579505],_
[0.54,0.495133263468,atan(0.54),atan(0.54)-0.495133263468],_
[0.55,0.502843210928,atan(0.55),atan(0.55)-0.502843210928],_
[0.56,0.510488321917,atan(0.56),atan(0.56)-0.510488321917],_
[0.57,0.518068528457,atan(0.57),atan(0.57)-0.518068528457],_
[0.58,0.525583793552,atan(0.58),atan(0.58)-0.525583793552],_
[0.59,0.533034110177,atan(0.59),atan(0.59)-0.533034110177],_
[0.60,0.540419500271,atan(0.60),atan(0.60)-0.540419500271],_
[0.61,0.547740013716,atan(0.61),atan(0.61)-0.547740013716],_
[0.62,0.554995727339,atan(0.62),atan(0.62)-0.554995727339],_
[0.63,0.562186743900,atan(0.63),atan(0.63)-0.562186743900],_
[0.64,0.569313191101,atan(0.64),atan(0.64)-0.569313191101],_
[0.65,0.576375220591,atan(0.65),atan(0.65)-0.576375220591],_
[0.66,0.583373006994,atan(0.66),atan(0.66)-0.583373006994],_
[0.67,0.590306746935,atan(0.67),atan(0.67)-0.590306746935],_
[0.68,0.597176658093,atan(0.68),atan(0.68)-0.597176658093],_
[0.69,0.603982978253,atan(0.69),atan(0.69)-0.603982978253],_
[0.70,0.610725964389,atan(0.70),atan(0.70)-0.610725964389],_
[0.71,0.617405891752,atan(0.71),atan(0.71)-0.617405891752],_
[0.72,0.624023052977,atan(0.72),atan(0.72)-0.624023052977],_

[0.73,0.630577757215,atan(0.73),atan(0.73)-0.630577757215],_
[0.74,0.637070329276,atan(0.74),atan(0.74)-0.637070329276],_
[0.75,0.643501108793,atan(0.75),atan(0.75)-0.643501108793],_
[0.76,0.649870449412,atan(0.76),atan(0.76)-0.649870449412],_
[0.77,0.656178717991,atan(0.77),atan(0.77)-0.656178717991],_
[0.78,0.662426293833,atan(0.78),atan(0.78)-0.662426293833],_
[0.79,0.668613567928,atan(0.79),atan(0.79)-0.668613567928],_
[0.80,0.674740942224,atan(0.80),atan(0.80)-0.674740942224],_
[0.81,0.680808828916,atan(0.81),atan(0.81)-0.680808828916],_
[0.82,0.686817649759,atan(0.82),atan(0.82)-0.686817649759],_
[0.83,0.692767835397,atan(0.83),atan(0.83)-0.692767835397],_
[0.84,0.698659824721,atan(0.84),atan(0.84)-0.698659824721],_
[0.85,0.704494064242,atan(0.85),atan(0.85)-0.704494064242],_
[0.86,0.710271007487,atan(0.86),atan(0.86)-0.710271007487],_
[0.87,0.715991114416,atan(0.87),atan(0.87)-0.715991114416],_
[0.88,0.721654850865,atan(0.88),atan(0.88)-0.721654850865],_
[0.89,0.727262687997,atan(0.89),atan(0.89)-0.727262687997],_
[0.90,0.732815101787,atan(0.90),atan(0.90)-0.732815101787],_
[0.91,0.738312572517,atan(0.91),atan(0.91)-0.738312572517],_
[0.92,0.743755584299,atan(0.92),atan(0.92)-0.743755584299],_
[0.93,0.749144624606,atan(0.93),atan(0.93)-0.749144624606],_
[0.94,0.754480183834,atan(0.94),atan(0.94)-0.754480183834],_
[0.95,0.759762754876,atan(0.95),atan(0.95)-0.759762754876],_
[0.96,0.764992832711,atan(0.96),atan(0.96)-0.764992832711],_
[0.97,0.770170914020,atan(0.97),atan(0.97)-0.770170914020],_
[0.98,0.775297496812,atan(0.98),atan(0.98)-0.775297496812],_
[0.99,0.780373080067,atan(0.99),atan(0.99)-0.780373080067],_
[1.00,0.785398163397,atan(1.00),atan(1.00)-0.785398163397]]
--R
--R
--R   (2)
--R   [[0.01,0.0099996666 87,0.0099996666 8666523820 63,- 0.334761794 E -12],
--R    [0.02,0.0199973339 73,0.0199973339 7315053306 1,0.150533061 E -12],
--R    [0.03,0.0299910048 57,0.0299910048 5687789967 7,- 0.122100323 E -12],
--R    [0.04,0.0399786871 23,0.0399786871 2329004141 4,0.290041414 E -12],
--R    [0.05,0.0499583957 22,0.0499583957 2194276141,- 0.5723859 E -13],
--R    [0.06,0.0599281551 21,0.0599281551 2120788443 2,0.20788443 E -12],
--R    [0.07,0.0698860016 35,0.0698860016 3464249929 5,- 0.35750071 E -12],
--R    [0.08,0.0798299857 12,0.0798299857 1223731589 3,0.23731589 E -12],
--R    [0.09,0.0897581741 9,0.0897581741 8995052315,- 0.4947685 E -13],
--R    [0.1,0.0996686524 91,0.0996686524 9116202737 9,0.16202738 E -12],
--R    [0.11,0.1095595267 74,0.1095595267 7394434487,- 0.5565513 E -13],
--R    [0.12,0.1194289260 18,0.1194289260 1833845181,0.33845181 E -12],
--R    [0.13,0.1292750040 48,0.1292750040 4814305472,0.14305472 E -12],
--R    [0.14,0.1390959414 82,0.1390959414 820713243,0.713243 E -13],
--R    [0.15,0.1488899476 09,0.1488899476 0949725059,0.49725059 E -12],
--R    [0.16,0.1586552621 86,0.1586552621 8640140386,0.40140386 E -12],
--R    [0.17,0.1683901571 48,0.1683901571 4752989727,- 0.47010272 E -12],
--R    [0.18,0.1780929382 31,0.1780929382 3119754967,0.19754967 E -12],
--R    [0.19,0.1877619465 14,0.1877619465 135934152,- 0.4065848 E -12],

--R    [0.2,0.1973955598 5,0.1973955598 4988075837,- 0.11924163 E -12],
--R    [0.21,0.2069921942 2,0.2069921942 198210249,- 0.1789751 E -12],
--R    [0.22,0.2165503049 76,0.2165503049 7608927648,0.8927648 E -13],
--R    [0.23,0.2260683879 94,0.2260683879 9388390584,- 0.11609416 E -12],
--R    [0.24,0.2355449807 21,0.2355449807 2086334143,- 0.13665857 E -12],
--R    [0.25,0.2449786631 27,0.2449786631 2686415417,- 0.13584583 E -12],
--R    [0.26,0.2543680585 53,0.2543680585 5326593143,0.26593143 E -12],
--R    [0.27,0.2637118344 62,0.2637118344 6226612016,0.26612016 E -12],
--R    [0.28,0.2730087030 87,0.2730087030 8671060295,- 0.28939705 E -12],
--R    [0.29,0.2822574219 81,0.2822574219 8149112127,0.49112127 E -12],
--R    [0.3,0.2914567944 78,0.2914567944 77867092,- 0.132908 E -12],
--R    [0.31,0.3006056700 42,0.3006056700 4239540423,0.39540423 E -12],
--R    [0.32,0.3097029445 42,0.3097029445 4245619992,0.45619992 E -12],
--R    [0.33,0.3187475604 21,0.3187475604 2064443712,- 0.35556288 E -12],
--R    [0.34,0.3277385067 81,0.3277385067 80555446,- 0.444554 E -12],
--R    [0.35,0.3366748193 87,0.3366748193 867271814,- 0.2728186 E -12],
--R    [0.36,0.3455555805 82,0.3455555805 8171213686,- 0.28786314 E -12],
--R    [0.37,0.3543799191 23,0.3543799191 2343780983,0.43780983 E -12],
--R    [0.38,0.3631470099 46,0.3631470099 4617628972,0.1762897 E -12],
--R    [0.39,0.3718560738 49,0.3718560738 485812575,- 0.4187425 E -12],
--R    [0.4,0.3805063771 12,0.3805063771 123648863,0.3648863 E -12],
--R    [0.41,0.3890972310 55,0.3890972310 5527841924,0.27841924 E -12],
--R    [0.42,0.3976279915 22,0.3976279915 22129314,0.129314 E -12],
--R    [0.43,0.4060980583 18,0.4060980583 1761564783,- 0.38435217 E -12],
--R    [0.44,0.4145068745 85,0.4145068745 8478593834,- 0.2140617 E -12],
--R    [0.45,0.4228539261 33,0.4228539261 3294071297,- 0.5928703 E -13],
--R    [0.46,0.4311387407 19,0.4311387407 1878218339,- 0.2178166 E -12],
--R    [0.47,0.4393608872 85,0.4393608872 8459143742,- 0.40856258 E -12],
--R    [0.48,0.4475199751 57,0.4475199751 5716987972,0.1698797 E -12],
--R    [0.49,0.4556156532 11,0.4556156532 1122449214,0.2244921 E -12],
--R    [0.5,0.4636476090 01,0.4636476090 0080611621,- 0.1938838 E -12],
--R    [0.51,0.4716155678 62,0.4716155678 6232766012,0.32766012 E -12],
--R    [0.52,0.4795192919 93,0.4795192919 9259616542,- 0.40383458 E -12],
--R    [0.53,0.4873585795 05,0.4873585795 0519028312,0.1902831 E -12],
--R    [0.54,0.4951332634 68,0.4951332634 6840412185,0.40412185 E -12],
--R    [0.55,0.5028432109 28,0.5028432109 2786082733,- 0.1391727 E -12],
--R    [0.56,0.5104883219 17,0.5104883219 1677576997,- 0.22423 E -12],
--R    [0.57,0.5180685284 57,0.5180685284 56720949,- 0.279051 E -12],
--R    [0.58,0.5255837935 52,0.5255837935 5161020277,- 0.3897972 E -12],
--R    [0.59,0.5330341101 77,0.5330341101 7749002604,0.49002604 E -12],
--R    [0.6,0.5404195002 71,0.5404195002 7058415544,- 0.4158446 E -12],
--R    [0.61,0.5477400137 16,0.5477400137 1590245052,- 0.9754948 E -13],
--R    [0.62,0.5549957273 39,0.5549957273 3858676242,- 0.4132376 E -12],
--R    [0.63,0.5621867439,0.5621867439 0002917485,0.291748 E -13],
--R    [0.64,0.5693131911 01,0.5693131911 0066188631,- 0.3381137 E -12],
--R    [0.65,0.5763752205 91,0.5763752205 9118368022,0.1836802 E -12],
--R    [0.66,0.5833730069 94,0.5833730069 9385593947,- 0.1440605 E -12],
--R    [0.67,0.5903067469 35,0.5903067469 3537198239,0.3719824 E -12],
--R    [0.68,0.5971766580 93,0.5971766580 9267754844,- 0.3224516 E -12],
--R    [0.69,0.6039829782 53,0.6039829782 5299790738,- 0.20926 E -14],

--R    [0.7,0.6107259643 89,0.6107259643 8920861654,0.2086165 E -12],
--R    [0.71,0.6174058917 52,0.6174058917 5157266652,- 0.4273335 E -12],
--R    [0.72,0.6240230529 77,0.6240230529 7675684759,- 0.2431524 E -12],
--R    [0.73,0.6305777572 15,0.6305777572 1493480666,- 0.6519333 E -13],
--R    [0.74,0.6370703292 76,0.6370703292 7568357172,- 0.3164283 E -12],
--R    [0.75,0.6435011087 93,0.6435011087 932843868,0.2843868 E -12],
--R    [0.76,0.6498704494 12,0.6498704494 1194757749,- 0.524225 E -13],
--R    [0.77,0.6561787179 91,0.6561787179 9139487538,0.3948754 E -12],
--R    [0.78,0.6624262938 33,0.6624262938 3315116177,0.1511618 E -12],
--R    [0.79,0.6686135679 28,0.6686135679 2782091069,- 0.1790893 E -12],
--R    [0.8,0.6747409422 24,0.6747409422 2355266306,- 0.4473369 E -12],
--R    [0.81,0.6808088289 16,0.6808088289 1582756649,- 0.1724335 E -12],
--R    [0.82,0.6868176497 59,0.6868176497 5864527553,- 0.3547245 E -12],
--R    [0.83,0.6927678353 97,0.6927678353 9712221066,0.1222107 E -12],
--R    [0.84,0.6986598247 21,0.6986598247 214631978,0.4631978 E -12],
--R    [0.85,0.7044940642 42,0.7044940642 4221771666,0.2177167 E -12],
--R    [0.86,0.7102710074 87,0.7102710074 8668623033,- 0.3137697 E -12],
--R    [0.87,0.7159911144 16,0.7159911144 1630019894,0.3001989 E -12],
--R    [0.88,0.7216548508 65,0.7216548508 6476123707,- 0.2387629 E -12],
--R    [0.89,0.7272626879 97,0.7272626879 9669029805,- 0.309702 E -12],
--R    [0.9,0.7328151017 87,0.7328151017 8650659164,- 0.49340836 E -12],
--R    [0.91,0.7383125725 17,0.7383125725 1722800021,0.2280002 E -12],
--R    [0.92,0.7437555842 99,0.7437555842 9885988576,- 0.1401142 E -12],
--R    [0.93,0.7491446246 06,0.7491446246 0601721032,0.172103 E -13],
--R    [0.94,0.7544801838 34,0.7544801838 3440566231,0.4056623 E -12],
--R    [0.95,0.7597627548 76,0.7597627548 7577082892,- 0.2291711 E -12],
--R    [0.96,0.7649928327 11,0.7649928327 1091022317,- 0.8977683 E -13],
--R    [0.97,0.7701709140 2,0.7701709140 2033100726,0.3310073 E -12],
--R    [0.98,0.7752974968 12,0.7752974968 1212640304,0.126403 E -12],
--R    [0.99,0.7803730800 67,0.7803730800 666358989,- 0.3641011 E -12],
--R    [1.0,0.7853981633 97,0.7853981633 9744830961,0.4483096 E -12]]
--R                                                      Type: List(List(Float))
--E 2
)spool
)lisp (bye)

———-

References

[1] Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp203-212