$SPAD/src/input log.input

Timothy Daly December 3, 2016

Abstract

This compares Axiom’s log function 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 log(x), ranging from 0.01 to 2.00. The second column is the reference value of log from the book Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp100-113

— * —

)set break resume
)spool log.output
)set message test on
)set message auto off
)clear all
--S 1 of 1
[[0.01, -4.6051701859880914, log(0.01), log(0.01)-(-4.6051701859880914)], _
[0.02, -3.9120230054281461, log(0.02), log(0.02)-(-3.9120230054281461)], _
[0.03, -3.5065578973199817, log(0.03), log(0.03)-(-3.5065578973199817)], _
[0.04, -3.2188758248682007, log(0.04), log(0.04)-(-3.2188758248682007)], _
[0.05, -2.9957322735539910, log(0.05), log(0.05)-(-2.9957322735539910)], _
[0.06, -2.8134107167600364, log(0.06), log(0.06)-(-2.8134107167600364)], _
[0.07, -2.6592600369327781, log(0.07), log(0.07)-(-2.6592600369327781)], _
[0.08, -2.5257286443082554, log(0.08), log(0.08)-(-2.5257286443082554)], _
[0.09, -2.4079456086518720, log(0.09), log(0.09)-(-2.4079456086518720)], _
[0.10, -2.3025850929940457, log(0.10), log(0.10)-(-2.3025850929940457)], _
[0.11, -2.2072749131897208, log(0.11), log(0.11)-(-2.2072749131897208)], _
[0.12, -2.1202635362000911, log(0.12), log(0.12)-(-2.1202635362000911)], _
[0.13, -2.0402208285265546, log(0.13), log(0.13)-(-2.0402208285265546)], _
[0.14, -1.9661128563728328, log(0.14), log(0.14)-(-1.9661128563728328)], _
[0.15, -1.8971199848858813, log(0.15), log(0.15)-(-1.8971199848858813)], _
[0.16, -1.8325814637483101, log(0.16), log(0.16)-(-1.8325814637483101)], _
[0.17, -1.7719568419318753, log(0.17), log(0.17)-(-1.7719568419318753)], _
[0.18, -1.7147984280919267, log(0.18), log(0.18)-(-1.7147984280919267)], _
[0.19, -1.6607312068216509, log(0.19), log(0.19)-(-1.6607312068216509)], _
[0.20, -1.6094379124341004, log(0.20), log(0.20)-(-1.6094379124341004)], _
[0.21, -1.5606477482646684, log(0.21), log(0.21)-(-1.5606477482646684)], _
[0.22, -1.5141277326297755, log(0.22), log(0.22)-(-1.5141277326297755)], _
[0.23, -1.4696759700589417, log(0.23), log(0.23)-(-1.4696759700589417)], _
[0.24, -1.4271163556401457, log(0.24), log(0.24)-(-1.4271163556401457)], _
[0.25, -1.3862943611198906, log(0.25), log(0.25)-(-1.3862943611198906)], _
[0.26, -1.3470736479666093, log(0.26), log(0.26)-(-1.3470736479666093)], _
[0.27, -1.3093333199837623, log(0.27), log(0.27)-(-1.3093333199837623)], _
[0.28, -1.2729656758128874, log(0.28), log(0.28)-(-1.2729656758128874)], _
[0.29, -1.2378743560016173, log(0.29), log(0.29)-(-1.2378743560016173)], _
[0.30, -1.2039728043259360, log(0.30), log(0.30)-(-1.2039728043259360)], _
[0.31, -1.1711829815029451, log(0.31), log(0.31)-(-1.1711829815029451)], _
[0.32, -1.1394342831883648, log(0.32), log(0.32)-(-1.1394342831883648)], _
[0.33, -1.1086626245216111, log(0.33), log(0.33)-(-1.1086626245216111)], _
[0.34, -1.0788096613719300, log(0.34), log(0.34)-(-1.0788096613719300)], _
[0.35, -1.0498221244986777, log(0.35), log(0.35)-(-1.0498221244986777)], _
[0.36, -1.0216512475319814, log(0.36), log(0.36)-(-1.0216512475319814)], _

[0.37, -0.9942522733438669, log(0.37), log(0.37)-(-0.9942522733438669)], _
[0.38, -0.9675840262617056, log(0.38), log(0.38)-(-0.9675840262617056)], _
[0.39, -0.9416085398584449, log(0.39), log(0.39)-(-0.9416085398584449)], _
[0.40, -0.9162907318741551, log(0.40), log(0.40)-(-0.9162907318741551)], _
[0.41, -0.8915981192837836, log(0.41), log(0.41)-(-0.8915981192837836)], _
[0.42, -0.8675005677047231, log(0.42), log(0.42)-(-0.8675005677047231)], _
[0.43, -0.8439700702945289, log(0.43), log(0.43)-(-0.8439700702945289)], _
[0.44, -0.8209805520698302, log(0.44), log(0.44)-(-0.8209805520698302)], _
[0.45, -0.7985076962177716, log(0.45), log(0.45)-(-0.7985076962177716)], _
[0.46, -0.7765287894989964, log(0.46), log(0.46)-(-0.7765287894989964)], _
[0.47, -0.7550225842780328, log(0.47), log(0.47)-(-0.7550225842780328)], _
[0.48, -0.7339691750802004, log(0.48), log(0.48)-(-0.7339691750802004)], _
[0.49, -0.7133498878774648, log(0.49), log(0.49)-(-0.7133498878774648)], _
[0.50, -0.6931471805599453, log(0.50), log(0.50)-(-0.6931471805599453)], _
[0.51, -0.6733445532637656, log(0.51), log(0.51)-(-0.6733445532637656)], _
[0.52, -0.6539264674066640, log(0.52), log(0.52)-(-0.6539264674066640)], _
[0.53, -0.6348782724359695, log(0.53), log(0.53)-(-0.6348782724359695)], _
[0.54, -0.6161861394238170, log(0.54), log(0.54)-(-0.6161861394238170)], _
[0.55, -0.5978370007556204, log(0.55), log(0.55)-(-0.5978370007556204)], _
[0.56, -0.5798184952529421, log(0.56), log(0.56)-(-0.5798184952529421)], _
[0.57, -0.5621189181535412, log(0.57), log(0.57)-(-0.5621189181535412)], _
[0.58, -0.5447271754416720, log(0.58), log(0.58)-(-0.5447271754416720)], _
[0.59, -0.5276327420823719, log(0.59), log(0.59)-(-0.5276327420823719)], _
[0.60, -0.5108256237659907, log(0.60), log(0.60)-(-0.5108256237659907)], _
[0.61, -0.4942963218147801, log(0.61), log(0.61)-(-0.4942963218147801)], _
[0.62, -0.4780358009429998, log(0.62), log(0.62)-(-0.4780358009429998)], _
[0.63, -0.4620354595965587, log(0.63), log(0.63)-(-0.4620354595965587)], _
[0.64, -0.4462871026284195, log(0.64), log(0.64)-(-0.4462871026284195)], _
[0.65, -0.4307829160924543, log(0.65), log(0.65)-(-0.4307829160924543)], _
[0.66, -0.4155154439616658, log(0.66), log(0.66)-(-0.4155154439616658)], _
[0.67, -0.4004775665971253, log(0.67), log(0.67)-(-0.4004775665971253)], _
[0.68, -0.3856624808119847, log(0.68), log(0.68)-(-0.3856624808119847)], _
[0.69, -0.3710636813908320, log(0.69), log(0.69)-(-0.3710636813908320)], _
[0.70, -0.3566749439387324, log(0.70), log(0.70)-(-0.3566749439387324)], _
[0.71, -0.3424903089467759, log(0.71), log(0.71)-(-0.3424903089467759)], _
[0.72, -0.3285040669720361, log(0.72), log(0.72)-(-0.3285040669720361)], _
[0.73, -0.3147107448397002, log(0.73), log(0.73)-(-0.3147107448397002)], _
[0.74, -0.3011050927839216, log(0.74), log(0.74)-(-0.3011050927839216)], _
[0.75, -0.2876820724517809, log(0.75), log(0.75)-(-0.2876820724517809)], _
[0.76, -0.2744368457017603, log(0.76), log(0.76)-(-0.2744368457017603)], _
[0.77, -0.2613647641344075, log(0.77), log(0.77)-(-0.2613647641344075)], _
[0.78, -0.2484613592984996, log(0.78), log(0.78)-(-0.2484613592984996)], _
[0.79, -0.2357223335210699, log(0.79), log(0.79)-(-0.2357223335210699)], _
[0.80, -0.2231435513142098, log(0.80), log(0.80)-(-0.2231435513142098)], _
[0.81, -0.2107210313156526, log(0.81), log(0.81)-(-0.2107210313156526)], _
[0.82, -0.1984509387238383, log(0.82), log(0.82)-(-0.1984509387238383)], _
[0.83, -0.1863295781914934, log(0.83), log(0.83)-(-0.1863295781914934)], _
[0.84, -0.1743533871447778, log(0.84), log(0.84)-(-0.1743533871447778)], _
[0.85, -0.1625189294977749, log(0.85), log(0.85)-(-0.1625189294977749)], _
[0.86, -0.1508228897345836, log(0.86), log(0.86)-(-0.1508228897345836)], _

[0.87, -0.1392620673335076, log(0.87), log(0.87)-(-0.1392620673335076)], _
[0.88, -0.1278333715098849, log(0.88), log(0.88)-(-0.1278333715098849)], _
[0.89, -0.1165338162559515, log(0.89), log(0.89)-(-0.1165338162559515)], _
[0.90, -0.1053605156578263, log(0.90), log(0.90)-(-0.1053605156578263)], _
[0.91, -0.0943106794712413, log(0.91), log(0.91)-(-0.0943106794712413)], _
[0.92, -0.0833816089390511, log(0.92), log(0.92)-(-0.0833816089390511)], _
[0.93, -0.0725706928348354, log(0.93), log(0.93)-(-0.0725706928348354)], _
[0.94, -0.0618754037180875, log(0.94), log(0.94)-(-0.0618754037180875)], _
[0.95, -0.0512932943875505, log(0.95), log(0.95)-(-0.0512932943875505)], _
[0.96, -0.0408219945202551, log(0.96), log(0.96)-(-0.0408219945202551)], _
[0.97, -0.0304592074847085, log(0.97), log(0.97)-(-0.0304592074847085)], _
[0.98, -0.0202027073175194, log(0.98), log(0.98)-(-0.0202027073175194)], _
[0.99, -0.0100503358535014, log(0.99), log(0.99)-(-0.0100503358535014)], _
[1.00, 0.0000000000000000, log(1.00), log(1.00)-(0.0000000000000000)], _
[1.01, 0.0099503308531681, log(1.01), log(1.01)-(0.0099503308531681)], _
[1.02, 0.0198026272961797, log(1.02), log(1.02)-(0.0198026272961797)], _
[1.03, 0.0295588022415444, log(1.03), log(1.03)-(0.0295588022415444)], _
[1.04, 0.0392207131532813, log(1.04), log(1.04)-(0.0392207131532813)], _
[1.05, 0.0487901641694320, log(1.05), log(1.05)-(0.0487901641694320)], _
[1.06, 0.0582689081239758, log(1.06), log(1.06)-(0.0582689081239758)], _
[1.07, 0.0676586484738148, log(1.07), log(1.07)-(0.0676586484738148)], _
[1.08, 0.0769610411361283, log(1.08), log(1.08)-(0.0769610411361283)], _
[1.09, 0.0861776962410523, log(1.09), log(1.09)-(0.0861776962410523)], _
[1.10, 0.0953101798043249, log(1.10), log(1.10)-(0.0953101798043249)], _
[1.11, 0.1043600153242428, log(1.11), log(1.11)-(0.1043600153242428)], _
[1.12, 0.1133286853070032, log(1.12), log(1.12)-(0.1133286853070032)], _
[1.13, 0.1222176327242492, log(1.13), log(1.13)-(0.1222176327242492)], _
[1.14, 0.1310282624064041, log(1.14), log(1.14)-(0.1310282624064041)], _
[1.15, 0.1397619423751587, log(1.15), log(1.15)-(0.1397619423751587)], _
[1.16, 0.1484200051182733, log(1.16), log(1.16)-(0.1484200051182733)], _
[1.17, 0.1570037488096648, log(1.17), log(1.17)-(0.1570037488096648)], _
[1.18, 0.1655144384775734, log(1.18), log(1.18)-(0.1655144384775734)], _
[1.19, 0.1739533071234380, log(1.19), log(1.19)-(0.1739533071234380)], _
[1.20, 0.1823215567939546, log(1.20), log(1.20)-(0.1823215567939546)], _
[1.21, 0.1906203596086497, log(1.21), log(1.21)-(0.1906203596086497)], _
[1.22, 0.1988508587451652, log(1.22), log(1.22)-(0.1988508587451652)], _
[1.23, 0.2070141693843261, log(1.23), log(1.23)-(0.2070141693843261)], _
[1.24, 0.2151113796169455, log(1.24), log(1.24)-(0.2151113796169455)], _
[1.25, 0.2231435513142098, log(1.25), log(1.25)-(0.2231435513142098)], _
[1.26, 0.2311117209633866, log(1.26), log(1.26)-(0.2311117209633866)], _
[1.27, 0.2390169004704999, log(1.27), log(1.27)-(0.2390169004704999)], _
[1.28, 0.2468600779315258, log(1.28), log(1.28)-(0.2468600779315258)], _
[1.29, 0.2546422183735807, log(1.29), log(1.29)-(0.2546422183735807)], _
[1.30, 0.2623642644674911, log(1.30), log(1.30)-(0.2623642644674911)], _
[1.31, 0.2700271372130602, log(1.31), log(1.31)-(0.2700271372130602)], _
[1.32, 0.2776317365982795, log(1.32), log(1.32)-(0.2776317365982795)], _
[1.33, 0.2851789422336624, log(1.33), log(1.33)-(0.2851789422336624)], _
[1.34, 0.2926696139628200, log(1.34), log(1.34)-(0.2926696139628200)], _
[1.35, 0.3001045924503381, log(1.35), log(1.35)-(0.3001045924503381)], _
[1.36, 0.3074846997479606, log(1.36), log(1.36)-(0.3074846997479606)], _

[1.37, 0.3148107398400335, log(1.37), log(1.37)-(0.3148107398400335)], _
[1.38, 0.3220834991691133, log(1.38), log(1.38)-(0.3220834991691133)], _
[1.39, 0.3293037471426004, log(1.39), log(1.39)-(0.3293037471426004)], _
[1.40, 0.3364722366212129, log(1.40), log(1.40)-(0.3364722366212129)], _
[1.41, 0.3435897043900769, log(1.41), log(1.41)-(0.3435897043900769)], _
[1.42, 0.3506568716131694, log(1.42), log(1.42)-(0.3506568716131694)], _
[1.43, 0.3576744442718159, log(1.43), log(1.43)-(0.3576744442718159)], _
[1.44, 0.3646431135879093, log(1.44), log(1.44)-(0.3646431135879093)], _
[1.45, 0.3715635564324830, log(1.45), log(1.45)-(0.3715635564324830)], _
[1.46, 0.3784364357202451, log(1.46), log(1.46)-(0.3784364357202451)], _
[1.47, 0.3852624007906449, log(1.47), log(1.47)-(0.3852624007906449)], _
[1.48, 0.3920420877760237, log(1.48), log(1.48)-(0.3920420877760237)], _
[1.49, 0.3987761199573678, log(1.49), log(1.49)-(0.3987761199573678)], _
[1.50, 0.4054651081081644, log(1.50), log(1.50)-(0.4054651081081644)], _
[1.51, 0.4121096508268330, log(1.51), log(1.51)-(0.4121096508268330)], _
[1.52, 0.4187103348581850, log(1.52), log(1.52)-(0.4187103348581850)], _
[1.53, 0.4252677354043441, log(1.53), log(1.53)-(0.4252677354043441)], _
[1.54, 0.4317824164255378, log(1.54), log(1.54)-(0.4317824164255378)], _
[1.55, 0.4382549309311553, log(1.55), log(1.55)-(0.4382549309311553)], _
[1.56, 0.4446858212614457, log(1.56), log(1.56)-(0.4446858212614457)], _
[1.57, 0.4510756193602167, log(1.57), log(1.57)-(0.4510756193602167)], _
[1.58, 0.4574248470388754, log(1.58), log(1.58)-(0.4574248470388754)], _
[1.59, 0.4637340162321402, log(1.59), log(1.59)-(0.4637340162321402)], _
[1.60, 0.4700036292457356, log(1.60), log(1.60)-(0.4700036292457356)], _
[1.61, 0.4762341789963716, log(1.61), log(1.61)-(0.4762341789963716)], _
[1.62, 0.4824261492442927, log(1.62), log(1.62)-(0.4824261492442927)], _
[1.63, 0.4885800148186710, log(1.63), log(1.63)-(0.4885800148186710)], _
[1.64, 0.4946962418361071, log(1.64), log(1.64)-(0.4946962418361071)], _
[1.65, 0.5007752879124892, log(1.65), log(1.65)-(0.5007752879124892)], _
[1.66, 0.5068176023684519, log(1.66), log(1.66)-(0.5068176023684519)], _
[1.67, 0.5128236264286637, log(1.67), log(1.67)-(0.5128236264286637)], _
[1.68, 0.5187937934151676, log(1.68), log(1.68)-(0.5187937934151676)], _
[1.69, 0.5247285289349821, log(1.69), log(1.69)-(0.5247285289349821)], _
[1.70, 0.5306282510621704, log(1.70), log(1.70)-(0.5306282510621704)], _
[1.71, 0.5364933705145685, log(1.71), log(1.71)-(0.5364933705145685)], _
[1.72, 0.5423242908253617, log(1.72), log(1.72)-(0.5423242908253617)], _
[1.73, 0.5481214085096876, log(1.73), log(1.73)-(0.5481214085096876)], _
[1.74, 0.5538851132264377, log(1.74), log(1.74)-(0.5538851132264377)], _
[1.75, 0.5596157879354227, log(1.75), log(1.75)-(0.5596157879354227)], _
[1.76, 0.5653138090500604, log(1.76), log(1.76)-(0.5653138090500604)], _
[1.77, 0.5709795465857378, log(1.77), log(1.77)-(0.5709795465857378)], _
[1.78, 0.5766133643039938, log(1.78), log(1.78)-(0.5766133643039938)], _
[1.79, 0.5822156198526636, log(1.79), log(1.79)-(0.5822156198526636)], _
[1.80, 0.5877866649021190, log(1.80), log(1.80)-(0.5877866649021190)], _
[1.81, 0.5933268452777344, log(1.81), log(1.81)-(0.5933268452777344)], _
[1.82, 0.5988365010887040, log(1.82), log(1.82)-(0.5988365010887040)], _
[1.83, 0.6043159668533296, log(1.83), log(1.83)-(0.6043159668533296)], _
[1.84, 0.6097655716208943, log(1.84), log(1.84)-(0.6097655716208943)], _
[1.85, 0.6151856390902335, log(1.85), log(1.85)-(0.6151856390902335)], _
[1.86, 0.6205764877251099, log(1.86), log(1.86)-(0.6205764877251099)], _

[1.87, 0.6259384308664953, log(1.87), log(1.87)-(0.6259384308664953)], _
[1.88, 0.6312717768418578, log(1.88), log(1.88)-(0.6312717768418578)], _
[1.89, 0.6365768290715510, log(1.89), log(1.89)-(0.6365768290715510)], _
[1.90, 0.6418538861723948, log(1.90), log(1.90)-(0.6418538861723948)], _
[1.91, 0.6471032420585385, log(1.91), log(1.91)-(0.6471032420585385)], _
[1.92, 0.6523251860396902, log(1.92), log(1.92)-(0.6523251860396902)], _
[1.93, 0.6575200029167942, log(1.93), log(1.93)-(0.6575200029167942)], _
[1.94, 0.6626879730752368, log(1.94), log(1.94)-(0.6626879730752368)], _
[1.95, 0.6678293725756554, log(1.95), log(1.95)-(0.6678293725756554)], _
[1.96, 0.6729444732424259, log(1.96), log(1.96)-(0.6729444732424259)], _
[1.97, 0.6780335427498971, log(1.97), log(1.97)-(0.6780335427498971)], _
[1.98, 0.6830968447064439, log(1.98), log(1.98)-(0.6830968447064439)], _
[1.99, 0.6881346387364010, log(1.99), log(1.99)-(0.6881346387364010)], _
[2.00, 0.6931471805599453, log(2.00), log(2.00)-(0.6931471805599453)]]
--R
--R
--R   (1)
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--R                                                      Type: List(List(Float))
--E 1
)spool
)lisp (bye)

———-

References

[1] Abramowitz and Stegun, “Handbook of Mathematical Functions”, Dover Publications, Inc. New York 1965. pp100-113