traverseda
/
cpython
1
0
Fork 0
Code Issues Pull Requests Releases Wiki Activity
cpython/Lib/test/decimaltestdata/ln.decTest

612 lines
35 KiB
Plaintext
Raw Normal View History

Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
------------------------------------------------------------------------
-- ln.decTest -- decimal natural logarithm --
Issue #3449: Update decimal module to use most recent specification (v. 1.68) and tests (v. 2.58) from IBM.
2008-07-27 03:39:07 -03:00
-- Copyright (c) IBM Corporation, 2005, 2008. All rights reserved. --
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases" --
-- at http://www2.hursley.ibm.com/decimal for the description of --
-- these testcases. --
-- --
-- These testcases are experimental ('beta' versions), and they --
-- may contain errors. They are offered on an as-is basis. In --
-- particular, achieving the same results as the tests here is not --
-- a guarantee that an implementation complies with any Standard --
-- or specification. The tests are not exhaustive. --
-- --
-- Please send comments, suggestions, and corrections to the author: --
-- Mike Cowlishaw, IBM Fellow --
-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
-- mfc@uk.ibm.com --
------------------------------------------------------------------------
Merged revisions 75286 via svnmerge from svn+ssh://pythondev@svn.python.org/python/trunk ........ r75286 | mark.dickinson | 2009-10-08 17:28:39 +0100 (Thu, 08 Oct 2009) | 2 lines Update decimal test data to the most recent set from Mike Cowlishaw. ........
2009-10-27 14:02:46 -03:00
version: 2.59
Merged the decimal-branch (revisions 54886 to 58140). Decimal is now fully updated to the latests Decimal Specification (v1.66) and the latests test cases (v2.56). Thanks to Mark Dickinson for all his help during this process.
2007-09-13 15:13:15 -03:00
extended: 1
precision: 16
rounding: half_even
maxExponent: 384
minexponent: -383
-- basics (examples in specification)
precision: 9
lnxs001 ln 0 -> -Infinity
lnxs002 ln 1.000 -> 0
lnxs003 ln 2.71828183 -> 1.00000000 Inexact Rounded
lnxs004 ln 10 -> 2.30258509 Inexact Rounded
lnxs005 ln +Infinity -> Infinity
-- basics
precision: 16
lnx0001 ln 0 -> -Infinity
lnx0002 ln 1E-9 -> -20.72326583694641 Inexact Rounded
lnx0003 ln 0.0007 -> -7.264430222920869 Inexact Rounded
lnx0004 ln 0.1 -> -2.302585092994046 Inexact Rounded
lnx0005 ln 0.7 -> -0.3566749439387324 Inexact Rounded
lnx0006 ln 1 -> 0
lnx0007 ln 1.000 -> 0
lnx0008 ln 1.5 -> 0.4054651081081644 Inexact Rounded
lnx0009 ln 2 -> 0.6931471805599453 Inexact Rounded
lnx0010 ln 2.718281828459045 -> 0.9999999999999999 Inexact Rounded
lnx0011 ln 2.718281828459046 -> 1.000000000000000 Inexact Rounded
lnx0012 ln 2.718281828459047 -> 1.000000000000001 Inexact Rounded
lnx0013 ln 10 -> 2.302585092994046 Inexact Rounded
lnx0014 ln 10.5 -> 2.351375257163478 Inexact Rounded
lnx0015 ln 9999 -> 9.210240366975849 Inexact Rounded
lnx0016 ln 1E6 -> 13.81551055796427 Inexact Rounded
lnx0017 ln 1E+9 -> 20.72326583694641 Inexact Rounded
lnx0018 ln +Infinity -> Infinity
-- notable cases
-- negatives
lnx0021 ln -1E-9 -> NaN Invalid_operation
lnx0022 ln -0.0007 -> NaN Invalid_operation
lnx0023 ln -0.1 -> NaN Invalid_operation
lnx0024 ln -0.7 -> NaN Invalid_operation
lnx0025 ln -1 -> NaN Invalid_operation
lnx0026 ln -1.5 -> NaN Invalid_operation
lnx0027 ln -2 -> NaN Invalid_operation
lnx0029 ln -10.5 -> NaN Invalid_operation
lnx0028 ln -9999 -> NaN Invalid_operation
lnx0030 ln -2.718281828459045 -> NaN Invalid_operation
lnx0031 ln -2.718281828459046 -> NaN Invalid_operation
lnx0032 ln -0 -> -Infinity
lnx0033 ln -0E+17 -> -Infinity
lnx0034 ln -0E-17 -> -Infinity
-- other zeros
lnx0041 ln 0 -> -Infinity
lnx0042 ln 0E+17 -> -Infinity
lnx0043 ln 0E-17 -> -Infinity
-- infinities
lnx0045 ln -Infinity -> NaN Invalid_operation
lnx0046 ln +Infinity -> Infinity
-- ones
lnx0050 ln 1 -> 0
lnx0051 ln 1.0 -> 0
lnx0052 ln 1.000000000000000 -> 0
lnx0053 ln 1.000000000000000000 -> 0
-- lower precision basics
Precision: 7
lnx0101 ln 0 -> -Infinity
lnx0102 ln 1E-9 -> -20.72327 Inexact Rounded
lnx0103 ln 0.0007 -> -7.264430 Inexact Rounded
lnx0104 ln 0.1 -> -2.302585 Inexact Rounded
lnx0105 ln 0.7 -> -0.3566749 Inexact Rounded
lnx0106 ln 1 -> 0
lnx0107 ln 1.5 -> 0.4054651 Inexact Rounded
lnx0108 ln 2 -> 0.6931472 Inexact Rounded
lnx0109 ln 2.718281828459045 -> 1.000000 Inexact Rounded
lnx0110 ln 2.718281828459046 -> 1.000000 Inexact Rounded
lnx0111 ln 2.718281828459047 -> 1.000000 Inexact Rounded
lnx0112 ln 10 -> 2.302585 Inexact Rounded
lnx0113 ln 10.5 -> 2.351375 Inexact Rounded
lnx0114 ln 9999 -> 9.210240 Inexact Rounded
lnx0115 ln 1E6 -> 13.81551 Inexact Rounded
lnx0116 ln 1E+9 -> 20.72327 Inexact Rounded
lnx0117 ln +Infinity -> Infinity
Precision: 2
lnx0121 ln 0 -> -Infinity
lnx0122 ln 1E-9 -> -21 Inexact Rounded
lnx0123 ln 0.0007 -> -7.3 Inexact Rounded
lnx0124 ln 0.1 -> -2.3 Inexact Rounded
lnx0125 ln 0.7 -> -0.36 Inexact Rounded
lnx0126 ln 1 -> 0
lnx0127 ln 1.5 -> 0.41 Inexact Rounded
lnx0128 ln 2 -> 0.69 Inexact Rounded
lnx0129 ln 2.718281828459045 -> 1.0 Inexact Rounded
lnx0130 ln 2.718281828459046 -> 1.0 Inexact Rounded
lnx0131 ln 2.718281828459047 -> 1.0 Inexact Rounded
lnx0132 ln 10 -> 2.3 Inexact Rounded
lnx0133 ln 10.5 -> 2.4 Inexact Rounded
lnx0134 ln 9999 -> 9.2 Inexact Rounded
lnx0135 ln 1E6 -> 14 Inexact Rounded
lnx0136 ln 1E+9 -> 21 Inexact Rounded
lnx0137 ln +Infinity -> Infinity
Precision: 1
lnx0141 ln 0 -> -Infinity
lnx0142 ln 1E-9 -> -2E+1 Inexact Rounded
lnx0143 ln 0.0007 -> -7 Inexact Rounded
lnx0144 ln 0.1 -> -2 Inexact Rounded
lnx0145 ln 0.7 -> -0.4 Inexact Rounded
lnx0146 ln 1 -> 0
lnx0147 ln 1.5 -> 0.4 Inexact Rounded
lnx0148 ln 2 -> 0.7 Inexact Rounded
lnx0149 ln 2.718281828459045 -> 1 Inexact Rounded
lnx0150 ln 2.718281828459046 -> 1 Inexact Rounded
lnx0151 ln 2.718281828459047 -> 1 Inexact Rounded
lnx0152 ln 10 -> 2 Inexact Rounded
lnx0153 ln 10.5 -> 2 Inexact Rounded
lnx0154 ln 9999 -> 9 Inexact Rounded
lnx0155 ln 1E6 -> 1E+1 Inexact Rounded
lnx0156 ln 1E+9 -> 2E+1 Inexact Rounded
lnx0157 ln +Infinity -> Infinity
-- group low-precision ln(1)s:
precision: 1
lnx0161 ln 1 -> 0
precision: 2
lnx0162 ln 1 -> 0
precision: 3
lnx0163 ln 1 -> 0
precision: 4
lnx0164 ln 1 -> 0
precision: 5
lnx0165 ln 1 -> 0
precision: 6
lnx0166 ln 1 -> 0
precision: 7
lnx0167 ln 1 -> 0
precision: 8
lnx0168 ln 1 -> 0
-- edge-test ln(2) and ln(10) in case of lookasides
precision: 45
lnx201 ln 2 -> 0.693147180559945309417232121458176568075500134 Inexact Rounded
lnx202 ln 10 -> 2.30258509299404568401799145468436420760110149 Inexact Rounded
precision: 44
lnx203 ln 2 -> 0.69314718055994530941723212145817656807550013 Inexact Rounded
lnx204 ln 10 -> 2.3025850929940456840179914546843642076011015 Inexact Rounded
precision: 43
lnx205 ln 2 -> 0.6931471805599453094172321214581765680755001 Inexact Rounded
lnx206 ln 10 -> 2.302585092994045684017991454684364207601101 Inexact Rounded
precision: 42
lnx207 ln 2 -> 0.693147180559945309417232121458176568075500 Inexact Rounded
lnx208 ln 10 -> 2.30258509299404568401799145468436420760110 Inexact Rounded
precision: 41
lnx209 ln 2 -> 0.69314718055994530941723212145817656807550 Inexact Rounded
lnx210 ln 10 -> 2.3025850929940456840179914546843642076011 Inexact Rounded
precision: 40
lnx211 ln 2 -> 0.6931471805599453094172321214581765680755 Inexact Rounded
lnx212 ln 10 -> 2.302585092994045684017991454684364207601 Inexact Rounded
precision: 39
lnx213 ln 2 -> 0.693147180559945309417232121458176568076 Inexact Rounded
lnx214 ln 10 -> 2.30258509299404568401799145468436420760 Inexact Rounded
precision: 38
lnx215 ln 2 -> 0.69314718055994530941723212145817656808 Inexact Rounded
lnx216 ln 10 -> 2.3025850929940456840179914546843642076 Inexact Rounded
precision: 37
lnx217 ln 2 -> 0.6931471805599453094172321214581765681 Inexact Rounded
lnx218 ln 10 -> 2.302585092994045684017991454684364208 Inexact Rounded
precision: 36
lnx219 ln 2 -> 0.693147180559945309417232121458176568 Inexact Rounded
lnx220 ln 10 -> 2.30258509299404568401799145468436421 Inexact Rounded
precision: 35
lnx221 ln 2 -> 0.69314718055994530941723212145817657 Inexact Rounded
lnx222 ln 10 -> 2.3025850929940456840179914546843642 Inexact Rounded
precision: 34
lnx223 ln 2 -> 0.6931471805599453094172321214581766 Inexact Rounded
lnx224 ln 10 -> 2.302585092994045684017991454684364 Inexact Rounded
precision: 33
lnx225 ln 2 -> 0.693147180559945309417232121458177 Inexact Rounded
lnx226 ln 10 -> 2.30258509299404568401799145468436 Inexact Rounded
precision: 32
lnx227 ln 2 -> 0.69314718055994530941723212145818 Inexact Rounded
lnx228 ln 10 -> 2.3025850929940456840179914546844 Inexact Rounded
precision: 31
lnx229 ln 2 -> 0.6931471805599453094172321214582 Inexact Rounded
lnx230 ln 10 -> 2.302585092994045684017991454684 Inexact Rounded
precision: 30
lnx231 ln 2 -> 0.693147180559945309417232121458 Inexact Rounded
lnx232 ln 10 -> 2.30258509299404568401799145468 Inexact Rounded
-- extreme input range values
maxExponent: 384
minExponent: -383
Precision: 16
lnx0901 ln 1e-400 -> -921.0340371976183 Inexact Rounded
lnx0902 ln 1e+400 -> 921.0340371976183 Inexact Rounded
lnx0903 ln 1e-999999 -> -2302582.790408953 Inexact Rounded
lnx0904 ln 1e+999999 -> 2302582.790408953 Inexact Rounded
lnx0905 ln 1e-1000013 -> -2302615.026600255 Inexact Rounded
lnx0906 ln 2e-1000013 -> -2302614.333453074 Inexact Rounded
lnx0910 ln 9.999999e+999999 -> 2302585.092993946 Inexact Rounded
lnx0911 ln 9.9999999e+999999 -> 2302585.092994036 Inexact Rounded
lnx0912 ln 9.99999999e+999999 -> 2302585.092994045 Inexact Rounded
lnx0913 ln 9.999999999e+999999 -> 2302585.092994046 Inexact Rounded
lnx0914 ln 9.999999999999e+999999 -> 2302585.092994046 Inexact Rounded
lnx0915 ln 9.999999999999999e+999999 -> 2302585.092994046 Inexact Rounded
lnx0916 ln 9.999999999999999999999999e+999999 -> 2302585.092994046 Inexact Rounded
-- randoms
-- P=50, within 0-999
Precision: 50
maxExponent: 384
minExponent: -383
lnx1501 ln 0.00098800906574486388604608477869812518857023768951 -> -6.9198186844033787995945147836955586009548513043689 Inexact Rounded
lnx1502 ln 158.15866624664623070184595045304145949900714987827 -> 5.0635987458895647454907806507503825602758392287684 Inexact Rounded
lnx1503 ln 0.00565661412059571925040285814021799775249288309321 -> -5.1749297776760632102047540300491550931651318975237 Inexact Rounded
lnx1504 ln 0.00000006914232532620489602008402091666547903180607 -> -16.487098770877825308138976818688771638172333034347 Inexact Rounded
lnx1505 ln 0.00025380374621297657504661540749355251231770070723 -> -8.2789492423005003205242162741569033124260321954589 Inexact Rounded
lnx1506 ln 83.033654063877426261108592599182418953442677554806 -> 4.4192459962647137976949249810815698465031609843669 Inexact Rounded
lnx1507 ln 0.00000000416863228092481651627734668440663678118729 -> -19.295677845122141772791294599714950175284915666430 Inexact Rounded
lnx1508 ln 0.00000140847873187820570181214271960511080523457669 -> -13.473000349581967189668305314384952251556809480339 Inexact Rounded
lnx1509 ln 66.176106555181527101630351127583944689752069132522 -> 4.1923194696232505883666171116966137694013431504252 Inexact Rounded
lnx1510 ln 0.00000000000009899043487403590900111602024562297908 -> -29.943753166877840985821508112917991506656545174163 Inexact Rounded
lnx1511 ln 0.00000000000324618296721747097510453388683912733569 -> -26.453541281444586819009546418577507163362590139422 Inexact Rounded
lnx1512 ln 72.646968818463546449499147579023555008392860423385 -> 4.2856116660689646882852128853423566276718230426479 Inexact Rounded
lnx1513 ln 0.00000000000000066755483124635612574263153825990523 -> -34.942910142802769319262875080398852491588707172483 Inexact Rounded
lnx1514 ln 61.002910447202398204114909451851111424657671911002 -> 4.1109215752843377323363182051446177066434038096529 Inexact Rounded
lnx1515 ln 917.06917611331980999227893584010544542312239174774 -> 6.8211829068303114128752453661946446979787826282907 Inexact Rounded
lnx1516 ln 0.00000000170823794883673083358549749078972003965194 -> -20.187803436976150477297246666771626827057191023004 Inexact Rounded
lnx1517 ln 0.53731767845358224445809761315159249898566542910649 -> -0.62116577939968409211736413628236285160048357000961 Inexact Rounded
lnx1518 ln 0.00000000000000008965291392882804161299758708033373 -> -36.950585970980857376081265073276303670820056916206 Inexact Rounded
lnx1519 ln 0.00000000006990244916026429904498278982530170295668 -> -23.383920429244457578373523508427783144589480420753 Inexact Rounded
lnx1520 ln 4.0312542977070300070506064666536478373801988540614 -> 1.3940775676592451945795752796421391871302024763305 Inexact Rounded
lnx1521 ln 271.84991311551875601432518819562391699324632396423 -> 5.6052501239873862517916679747146539808077431873478 Inexact Rounded
lnx1522 ln 7.4118671629373864667229445746862314443895404818689 -> 2.0030823863706344628239147639318289961917060121141 Inexact Rounded
lnx1523 ln 0.00000000000002026311452625364905357321664186034258 -> -31.529974180054438792043856877314043794320951134754 Inexact Rounded
lnx1524 ln 0.00000000000009563398651261756952398250624737809347 -> -29.978248130576972953141284136962670021368834792579 Inexact Rounded
lnx1525 ln 0.00000000009556772669409858653026558223465197808991 -> -23.071185939748285541228206161472956661196956741186 Inexact Rounded
lnx1526 ln 6.8441648298027301292342057248737326152250794026761 -> 1.9233964395801946597272589473417948024361005082908 Inexact Rounded
lnx1527 ln 0.00000000000073059699884439979394945822035704264577 -> -27.944914388353724718836101828677771967128509603158 Inexact Rounded
lnx1528 ln 0.00000000000000002610078280419082263138064745416787 -> -38.184566367516207885573773320135965798717120735115 Inexact Rounded
lnx1529 ln 0.00000000000000000150259517166294243088546806083283 -> -41.039337946266676108538170837580051699618334928421 Inexact Rounded
lnx1530 ln 0.00000000000000087919160541714580707181969708502091 -> -34.667528818827671507514319744047440696187358676848 Inexact Rounded
lnx1531 ln 0.00000000000395726725120787763271849577708068584598 -> -26.255467416961357741818735787226671938678424748431 Inexact Rounded
lnx1532 ln 0.00000000002014334901669366218018377213150715938355 -> -24.628146955635359035289123027319969201693737159108 Inexact Rounded
lnx1533 ln 0.00000008097927101101093117753938766241442896030637 -> -16.329072628469715178637178365710373398203190937454 Inexact Rounded
lnx1534 ln 0.00000000000017115834162632864392039668116243984176 -> -29.396187292434898225453626794459285157263177528034 Inexact Rounded
lnx1535 ln 0.39168317593866334087305459933723864294857086105035 -> -0.93730199062757240485836637306785037368746737693029 Inexact Rounded
lnx1536 ln 79.335036798971515026519630103325369729637514127617 -> 4.3736798570287828823772149735170431010616961976965 Inexact Rounded
lnx1537 ln 0.00000000000000056004952129926137413602116591493625 -> -35.118506463181870020730685884333000241039028127213 Inexact Rounded
lnx1538 ln 0.00000006006035907843890918832481099660639553666078 -> -16.627915795747112566532705974853114454405010472043 Inexact Rounded
lnx1539 ln 0.00000000085242024937414906371333826574632450587590 -> -20.882941460268101080186482230657774997273494107221 Inexact Rounded
lnx1540 ln 0.00000000000043671099499262350316173246550771951561 -> -28.459504757285639221776305968469058854558726593945 Inexact Rounded
-- P=34, within 0-999
Precision: 34
lnx1201 ln 0.0086732880815927182997566810334394 -> -4.747507311920844752486938187973721 Inexact Rounded
lnx1202 ln 0.0007104103693460260609792222569854 -> -7.249667769903503023005549250347695 Inexact Rounded
lnx1203 ln 786.8398945385105190697541493392742 -> 6.668024790031836340471824147010546 Inexact Rounded
lnx1204 ln 0.7723073620282687656895190171967399 -> -0.2583726708506850868786816238217326 Inexact Rounded
lnx1205 ln 0.0061057951517197631287183938412200 -> -5.098516933918797347064454103742635 Inexact Rounded
lnx1206 ln 0.6181379708184393730103917562498745 -> -0.4810435926903365087463387760350021 Inexact Rounded
lnx1207 ln 09.13888261229039989110753389096760 -> 2.212538125507975574509563027696021 Inexact Rounded
lnx1208 ln 802.0105417063143696497292158147174 -> 6.687121752052341737234832203350214 Inexact Rounded
lnx1209 ln 778.7749710387773713523028497333058 -> 6.657722135126935472086625031413031 Inexact Rounded
lnx1210 ln 0.0024457295895346502513567679390616 -> -6.013411799940245345321348290398517 Inexact Rounded
lnx1211 ln 0.0000511296947872828310338864217860 -> -9.881145118237281798081573131711636 Inexact Rounded
lnx1212 ln 0.0000246803508602554924938685155658 -> -10.60950314264825661825360971430218 Inexact Rounded
lnx1213 ln 9.027898199253511668242977766616082 -> 2.200319582778899029786017830557293 Inexact Rounded
lnx1214 ln 0.0991812396542505631850692800904188 -> -2.310806398964672258823043180400384 Inexact Rounded
lnx1215 ln 0.0000000000070238810143028811223924 -> -25.68170519961636647174714538290075 Inexact Rounded
lnx1216 ln 2.630101665342826494730394729313167 -> 0.9670225014664367465128243039749559 Inexact Rounded
lnx1217 ln 0.0056878928594359587691526063254683 -> -5.169415422904037819736637399445096 Inexact Rounded
lnx1218 ln 567.3436047121057843908106573095590 -> 6.340965124964258486463444360787970 Inexact Rounded
lnx1219 ln 1.199291248124655996614605745649725 -> 0.1817307557425911805765087755675657 Inexact Rounded
lnx1220 ln 25.02050448582031098696267479135557 -> 3.219695668137659139544178905459317 Inexact Rounded
lnx1221 ln 0.0000000000009939597023558756961300 -> -27.63707972996537636504396558259058 Inexact Rounded
lnx1222 ln 0.0000007988551670159429716506430403 -> -14.04008617542597230988198612376415 Inexact Rounded
lnx1223 ln 4.681515800176129184873770605589795 -> 1.543621946415383338972124445445748 Inexact Rounded
lnx1224 ln 15.95126669161103011206658749345781 -> 2.769538242479483539275986395443539 Inexact Rounded
lnx1225 ln 0.0301626783922211213675457279076066 -> -3.501149933677283341023932281826341 Inexact Rounded
lnx1226 ln 000.0040544064881821770528475185674 -> -5.507950967557021671647165889608324 Inexact Rounded
lnx1227 ln 29.01617095935593792095913785100360 -> 3.367853293862745651888450004473297 Inexact Rounded
lnx1228 ln 78.01836167344736733024804243195323 -> 4.356944205055768575987781375003992 Inexact Rounded
lnx1229 ln 0.0000000096545319316965321158634893 -> -18.45583840160965814462095477365013 Inexact Rounded
lnx1230 ln 97.95475237720579752770587185074428 -> 4.584505661612812742208619358214729 Inexact Rounded
lnx1231 ln 528.0609262050423246402564228432371 -> 6.269211667589138113396583894315956 Inexact Rounded
lnx1232 ln 0.0000002250064349732969696660452972 -> -15.30713683526963996712167701738724 Inexact Rounded
lnx1233 ln 47.97063637767998658567199049725754 -> 3.870589081585660692195989854842372 Inexact Rounded
lnx1234 ln 0.0005394311344541432318853513414361 -> -7.524995428393925934087126702974121 Inexact Rounded
lnx1235 ln 0.0000000090973385649567471674972633 -> -18.51528393158931783447035004125791 Inexact Rounded
lnx1236 ln 0.0000000000238776490227576197317977 -> -24.45807828188389561331158879207262 Inexact Rounded
lnx1237 ln 0.0000236587000231921532145326218758 -> -10.65177964499823314952429277979034 Inexact Rounded
lnx1238 ln 499.1277448846130709827154556125942 -> 6.212862064761427967461188083514774 Inexact Rounded
lnx1239 ln 0.0000003960192300284787663712417647 -> -14.74180306619298548093697608293284 Inexact Rounded
lnx1240 ln 41.08268350829477451667228892495136 -> 3.715586706887278039173584859218960 Inexact Rounded
-- P=16, within 0-99
Precision: 16
lnx1101 ln 7.964875261033948 -> 2.075041282352241 Inexact Rounded
lnx1102 ln 13.54527396845394 -> 2.606037701870263 Inexact Rounded
lnx1103 ln 0.0008026554341331 -> -7.127585034321814 Inexact Rounded
lnx1104 ln 0.0000030582233261 -> -12.69767642300625 Inexact Rounded
lnx1105 ln 0.0004477497509672 -> -7.711276073210766 Inexact Rounded
lnx1106 ln 7.616268622474371 -> 2.030286567675148 Inexact Rounded
lnx1107 ln 51.58329925806381 -> 3.943197962309569 Inexact Rounded
lnx1108 ln 0.0018197497951263 -> -6.309056262549345 Inexact Rounded
lnx1109 ln 2.956282457072984 -> 1.083932552334575 Inexact Rounded
lnx1110 ln 0.3843325579189906 -> -0.9562470649400558 Inexact Rounded
lnx1111 ln 0.0074466329265663 -> -4.899993304919237 Inexact Rounded
lnx1112 ln 0.0003372478532993 -> -7.994692428206378 Inexact Rounded
lnx1113 ln 0.0084792263167809 -> -4.770136069569271 Inexact Rounded
lnx1114 ln 5.926756998151102 -> 1.779477182834305 Inexact Rounded
lnx1115 ln 9.025699152180897 -> 2.200075969604119 Inexact Rounded
lnx1116 ln 1.910124643533526 -> 0.6471684983238183 Inexact Rounded
lnx1117 ln 0.8158922711411020 -> -0.2034729533939387 Inexact Rounded
lnx1118 ln 0.0067080016475322 -> -5.004454189414139 Inexact Rounded
lnx1119 ln 0.0047583242092716 -> -5.347859729601094 Inexact Rounded
lnx1120 ln 0.0386647411641339 -> -3.252827175263113 Inexact Rounded
lnx1121 ln 0.0050226427841761 -> -5.293799032774131 Inexact Rounded
lnx1122 ln 6.927937541637261 -> 1.935562155866906 Inexact Rounded
lnx1123 ln 0.0000095745343513 -> -11.55640365579814 Inexact Rounded
lnx1124 ln 1.602465492956538 -> 0.4715433763243936 Inexact Rounded
lnx1125 ln 38.98415625087535 -> 3.663155313610213 Inexact Rounded
lnx1126 ln 5.343182042276734 -> 1.675821363568112 Inexact Rounded
lnx1127 ln 55.89763703245816 -> 4.023522107934110 Inexact Rounded
lnx1128 ln 0.7445257810280847 -> -0.2950077988101030 Inexact Rounded
lnx1129 ln 1.631407314946094 -> 0.4894430257201248 Inexact Rounded
lnx1130 ln 0.0005462451932602 -> -7.512442611116852 Inexact Rounded
lnx1131 ln 0.0000864173269362 -> -9.356322359017317 Inexact Rounded
lnx1132 ln 5.227161719132849 -> 1.653868438439637 Inexact Rounded
lnx1133 ln 60.57078466941998 -> 4.103812675662452 Inexact Rounded
lnx1134 ln 0.0992864325333160 -> -2.309746348350318 Inexact Rounded
lnx1135 ln 09.48564268447325 -> 2.249779359074983 Inexact Rounded
lnx1136 ln 0.0036106089355634 -> -5.623878840650787 Inexact Rounded
lnx1137 ln 1.805176865587172 -> 0.5906585734593707 Inexact Rounded
lnx1138 ln 62.59363259642255 -> 4.136663557220559 Inexact Rounded
lnx1139 ln 4.373828261137201 -> 1.475638657912000 Inexact Rounded
lnx1140 ln 0.994483524148738 -> -0.005531747794938690 Inexact Rounded
-- P=7, within 0-9
Precision: 7
lnx1001 ln 0.0912025 -> -2.394673 Inexact Rounded
lnx1002 ln 0.9728626 -> -0.02751242 Inexact Rounded
lnx1003 ln 0.3886032 -> -0.9451965 Inexact Rounded
lnx1004 ln 8.798639 -> 2.174597 Inexact Rounded
lnx1005 ln 2.459121 -> 0.8998040 Inexact Rounded
lnx1006 ln 2.013193 -> 0.6997220 Inexact Rounded
lnx1007 ln 9.064857 -> 2.204405 Inexact Rounded
lnx1008 ln 5.796417 -> 1.757240 Inexact Rounded
lnx1009 ln 0.1143471 -> -2.168517 Inexact Rounded
lnx1010 ln 0.5341542 -> -0.6270707 Inexact Rounded
lnx1011 ln 6.693781 -> 1.901179 Inexact Rounded
lnx1012 ln 0.0081779 -> -4.806320 Inexact Rounded
lnx1013 ln 8.313616 -> 2.117895 Inexact Rounded
lnx1014 ln 3.486925 -> 1.249020 Inexact Rounded
lnx1015 ln 0.1801401 -> -1.714020 Inexact Rounded
lnx1016 ln 0.5227148 -> -0.6487193 Inexact Rounded
lnx1017 ln 7.818111 -> 2.056443 Inexact Rounded
lnx1018 ln 0.0870671 -> -2.441076 Inexact Rounded
lnx1019 ln 8.153966 -> 2.098504 Inexact Rounded
lnx1020 ln 2.040975 -> 0.7134276 Inexact Rounded
lnx1021 ln 1.481642 -> 0.3931509 Inexact Rounded
lnx1022 ln 0.2610123 -> -1.343188 Inexact Rounded
lnx1023 ln 0.466723 -> -0.7620193 Inexact Rounded
lnx1024 ln 0.0518756 -> -2.958907 Inexact Rounded
lnx1025 ln 2.056410 -> 0.7209617 Inexact Rounded
lnx1026 ln 0.181522 -> -1.706378 Inexact Rounded
lnx1027 ln 0.515551 -> -0.6625190 Inexact Rounded
lnx1028 ln 8.425089 -> 2.131214 Inexact Rounded
lnx1029 ln 2.077091 -> 0.7309684 Inexact Rounded
lnx1030 ln 6.212705 -> 1.826596 Inexact Rounded
lnx1031 ln 5.729343 -> 1.745601 Inexact Rounded
lnx1032 ln 4.831251 -> 1.575105 Inexact Rounded
lnx1033 ln 2.029760 -> 0.7079176 Inexact Rounded
lnx1034 ln 8.615060 -> 2.153512 Inexact Rounded
lnx1035 ln 0.0611511 -> -2.794407 Inexact Rounded
lnx1036 ln 5.195269 -> 1.647748 Inexact Rounded
lnx1037 ln 9.617686 -> 2.263604 Inexact Rounded
lnx1038 ln 0.0049382 -> -5.310754 Inexact Rounded
lnx1039 ln 2.786840 -> 1.024908 Inexact Rounded
lnx1040 ln 0.0091073 -> -4.698679 Inexact Rounded
-- from here 3-digit tests are based on reverse exp tests
precision: 9
rounding: half_even
maxExponent: 384
minexponent: -383
lnx001 ln 0 -> -Infinity
lnx002 ln 0.367879441 -> -1.00000000 Inexact Rounded
lnx003 ln 1 -> 0
lnx005 ln 2.71828183 -> 1.00000000 Inexact Rounded
lnx006 ln 2.00000000 -> 0.693147181 Inexact Rounded
lnx007 ln +Infinity -> Infinity
-- tiny edge cases
precision: 7
lnx011 ln 1.105171 -> 0.1000001 Inexact Rounded
lnx012 ln 1.010050 -> 0.009999835 Inexact Rounded
lnx013 ln 1.000010 -> 0.000009999950 Inexact Rounded
lnx014 ln 1.000001 -> 9.999995E-7 Inexact Rounded
lnx015 ln 1.000000 -> 0
-- basic e=0, e=1, e=2, e=4, e>=8 cases
precision: 7
lnx041 ln 2.718282 -> 1.000000 Inexact Rounded
lnx042 ln 0.3678794 -> -1.000000 Inexact Rounded
lnx043 ln 22026.47 -> 10.00000 Inexact Rounded
lnx044 ln 0.00004539993 -> -10.00000 Inexact Rounded
lnx045 ln 2.688117E+43 -> 100.0000 Inexact Rounded
lnx046 ln 3.720076E-44 -> -100.0000 Inexact Rounded
lnx047 ln Infinity -> Infinity
lnx048 ln 0E-389 -> -Infinity
-- miscellanea
precision: 16
lnx055 ln 2.717658486884572E-236 -> -542.4103112874415 Inexact Rounded
precision: 17
lnx056 ln 2.7176584868845721E-236 -> -542.41031128744146 Inexact Rounded
precision: 18
lnx057 ln 2.71765848688457211E-236 -> -542.410311287441459 Inexact Rounded
precision: 19
lnx058 ln 2.717658486884572112E-236 -> -542.4103112874414592 Inexact Rounded
precision: 20
lnx059 ln 2.7176584868845721118E-236 -> -542.41031128744145917 Inexact Rounded
-- inputs ending in ..500.., ..499.., ..100.., ..999.. sequences
precision: 50
lnx102 ln 0.9999999100000040499998785000027 -> -9.0000000000000000000000033749953829996446124861750E-8 Inexact Rounded
precision: 30
lnx103 ln 0.999999910000004049999878500003 -> -8.99999999999999999999997337499E-8 Inexact Rounded
precision: 29
lnx104 ln 0.99999991000000404999987850000 -> -9.0000000000000000000002733750E-8 Inexact Rounded
precision: 28
lnx105 ln 0.9999999100000040499998785000 -> -9.000000000000000000000273375E-8 Inexact Rounded
precision: 27
lnx106 ln 0.999999910000004049999878500 -> -9.00000000000000000000027338E-8 Inexact Rounded
precision: 26
lnx107 ln 0.99999991000000404999987850 -> -9.0000000000000000000002734E-8 Inexact Rounded
precision: 25
lnx108 ln 0.9999999100000040499998785 -> -9.000000000000000000000273E-8 Inexact Rounded
precision: 24
lnx109 ln 0.999999910000004049999879 -> -8.99999999999999995000027E-8 Inexact Rounded
precision: 23
lnx110 ln 0.99999991000000404999988 -> -8.9999999999999998500003E-8 Inexact Rounded
precision: 22
lnx111 ln 0.9999999100000040499999 -> -8.999999999999997850000E-8 Inexact Rounded
precision: 21
lnx112 ln 0.999999910000004050000 -> -8.99999999999998785000E-8 Inexact Rounded
precision: 20
lnx113 ln 0.99999991000000405000 -> -8.9999999999999878500E-8 Inexact Rounded
precision: 19
lnx114 ln 0.9999999100000040500 -> -8.999999999999987850E-8 Inexact Rounded
precision: 18
lnx115 ln 0.999999910000004050 -> -8.99999999999998785E-8 Inexact Rounded
-- next may be a > 0.5ulp case; a more precise answer is:
-- -8.99999999999998784999918E-8
precision: 17
lnx116 ln 0.99999991000000405 -> -8.9999999999999878E-8 Inexact Rounded
precision: 16
lnx117 ln 0.9999999100000040 -> -9.000000004999988E-8 Inexact Rounded
precision: 15
lnx118 ln 0.999999910000004 -> -9.00000000499999E-8 Inexact Rounded
precision: 14
lnx119 ln 0.99999991000000 -> -9.0000004050000E-8 Inexact Rounded
precision: 13
lnx120 ln 0.9999999100000 -> -9.000000405000E-8 Inexact Rounded
precision: 12
lnx121 ln 0.999999910000 -> -9.00000040500E-8 Inexact Rounded
precision: 11
lnx122 ln 0.99999991000 -> -9.0000004050E-8 Inexact Rounded
precision: 10
lnx123 ln 0.9999999100 -> -9.000000405E-8 Inexact Rounded
precision: 9
lnx124 ln 0.999999910 -> -9.00000041E-8 Inexact Rounded
precision: 8
lnx125 ln 0.99999991 -> -9.0000004E-8 Inexact Rounded
precision: 7
lnx126 ln 0.9999999 -> -1.000000E-7 Inexact Rounded
precision: 16
lnx126b ln 0.9999999 -> -1.000000050000003E-7 Inexact Rounded
precision: 6
lnx127 ln 0.999999 -> -0.00000100000 Inexact Rounded
precision: 5
lnx128 ln 0.99999 -> -0.000010000 Inexact Rounded
precision: 4
lnx129 ln 0.9999 -> -0.0001000 Inexact Rounded
precision: 3
lnx130 ln 0.999 -> -0.00100 Inexact Rounded
precision: 2
lnx131 ln 0.99 -> -0.010 Inexact Rounded
precision: 1
lnx132 ln 0.9 -> -0.1 Inexact Rounded
-- cases near 1 -- 1 2345678901234567890
precision: 20
lnx401 ln 2.7182818284589365041 -> 0.99999999999996000000 Inexact Rounded
lnx402 ln 2.7182818284589636869 -> 0.99999999999997000000 Inexact Rounded
lnx403 ln 2.7182818284589908697 -> 0.99999999999997999999 Inexact Rounded
lnx404 ln 2.7182818284590180525 -> 0.99999999999998999998 Inexact Rounded
lnx405 ln 2.7182818284590452354 -> 1.0000000000000000000 Inexact Rounded
lnx406 ln 2.7182818284593170635 -> 1.0000000000001000000 Inexact Rounded
lnx407 ln 2.7182818284595888917 -> 1.0000000000002000000 Inexact Rounded
precision: 14
lnx411 ln 2.7182818284589 -> 0.99999999999995 Inexact Rounded
lnx413 ln 2.7182818284590 -> 0.99999999999998 Inexact Rounded
lnx416 ln 2.7182818284591 -> 1.0000000000000 Inexact Rounded
lnx417 ln 2.7182818284592 -> 1.0000000000001 Inexact Rounded
-- overflows, including some exp overprecise borderlines
precision: 7
maxExponent: 384
minExponent: -383
lnx709 ln 9.999999E+384 -> 886.4953 Inexact Rounded
lnx711 ln 9.999992E+384 -> 886.4953 Inexact Rounded
precision: 16
lnx722 ln 9.999999999999999E+384 -> 886.4952608027076 Inexact Rounded
lnx724 ln 9.999999999999917E+384 -> 886.4952608027076 Inexact Rounded
lnx726 ln 9.999999999999117E+384 -> 886.4952608027075 Inexact Rounded
-- and more...
precision: 15
maxExponent: 999
minExponent: -999
lnx731 ln 9.99999999999999E+999 -> 2302.58509299405 Inexact Rounded
-- next may be a > 0.5ulp case; a more precise answer is:
-- 2302.58509299404495001799145442
lnx732 ln 9.99999999999266E+999 -> 2302.58509299404 Inexact Rounded
lnx733 ln 9.99999999999265E+999 -> 2302.58509299404 Inexact Rounded
lnx734 ln 9.99999999999264E+999 -> 2302.58509299404 Inexact Rounded
-- subnormals and underflows for exp, including underflow-to-zero edge point
precision: 7
maxExponent: 384
minExponent: -383
lnx751 ln 0E-389 -> -Infinity
lnx758 ln 1.000001E-383 -> -881.8901 Inexact Rounded
lnx759 ln 9.99991E-384 -> -881.8901 Inexact Rounded
lnx760 ln 4.4605E-385 -> -885.0000 Inexact Rounded
lnx761 ln 2.221E-386 -> -887.9999 Inexact Rounded
lnx762 ln 3.01E-387 -> -889.9985 Inexact Rounded
lnx763 ln 1.7E-388 -> -892.8724 Inexact Rounded
lnx764 ln 1.5E-388 -> -892.9976 Inexact Rounded
lnx765 ln 9E-389 -> -893.5084 Inexact Rounded
lnx766 ln 1E-389 -> -895.7056 Inexact Rounded
lnx774 ln 0E-389 -> -Infinity
-- special values
lnx820 ln Infinity -> Infinity
lnx821 ln 0 -> -Infinity
lnx822 ln NaN -> NaN
lnx823 ln sNaN -> NaN Invalid_operation
-- propagating NaNs
lnx824 ln sNaN123 -> NaN123 Invalid_operation
lnx825 ln -sNaN321 -> -NaN321 Invalid_operation
lnx826 ln NaN456 -> NaN456
lnx827 ln -NaN654 -> -NaN654
lnx828 ln NaN1 -> NaN1
-- Invalid operations due to restrictions
-- [next two probably skipped by most test harnesses]
precision: 100000000
lnx901 ln 1 -> NaN Invalid_context
precision: 99999999
lnx902 ln 0 -> NaN Invalid_context
precision: 9
maxExponent: 1000000
minExponent: -999999
lnx903 ln 1 -> NaN Invalid_context
maxExponent: 999999
minExponent: -999999
lnx904 ln 0 -> -Infinity
maxExponent: 999999
minExponent: -1000000
lnx905 ln 1 -> NaN Invalid_context
maxExponent: 999999
minExponent: -999998
lnx906 ln 0 -> -Infinity
-- payload decapitate
precision: 5
lnx910 ln -sNaN1234567890 -> -NaN67890 Invalid_operation
-- Null test
lnx900 ln # -> NaN Invalid_operation