Learn more »
Push, build, and install
RubyGems
npm packages
Python packages
Maven artifacts
PHP packages
Go Modules
Bower components
Debian packages
RPM packages
NuGet packages
agriconnect / libpython3.8-testsuite deb
Repository URL to install this package:
Version:
3.8.5-1+stretch1
Version:
3.8.5-1+stretch1
/ usr / lib / python3.8 / test / decimaltestdata / exp.decTest
------------------------------------------------------------------------
-- exp.decTest -- decimal natural exponentiation --
-- Copyright (c) IBM Corporation, 2005, 2008. All rights reserved. --
------------------------------------------------------------------------
-- 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 --
------------------------------------------------------------------------
version: 2.59
-- Tests of the exponential function. Currently all testcases here
-- show results which are correctly rounded (within <= 0.5 ulp).
extended: 1
precision: 9
rounding: half_even
maxExponent: 384
minexponent: -383
-- basics (examples in specificiation, etc.)
expx001 exp -Infinity -> 0
expx002 exp -10 -> 0.0000453999298 Inexact Rounded
expx003 exp -1 -> 0.367879441 Inexact Rounded
expx004 exp 0 -> 1
expx005 exp -0 -> 1
expx006 exp 1 -> 2.71828183 Inexact Rounded
expx007 exp 0.693147181 -> 2.00000000 Inexact Rounded
expx008 exp 10 -> 22026.4658 Inexact Rounded
expx009 exp +Infinity -> Infinity
-- tiny edge cases
precision: 7
expx011 exp 0.1 -> 1.105171 Inexact Rounded
expx012 exp 0.01 -> 1.010050 Inexact Rounded
expx013 exp 0.001 -> 1.001001 Inexact Rounded
expx014 exp 0.0001 -> 1.000100 Inexact Rounded
expx015 exp 0.00001 -> 1.000010 Inexact Rounded
expx016 exp 0.000001 -> 1.000001 Inexact Rounded
expx017 exp 0.0000001 -> 1.000000 Inexact Rounded
expx018 exp 0.0000003 -> 1.000000 Inexact Rounded
expx019 exp 0.0000004 -> 1.000000 Inexact Rounded
expx020 exp 0.0000005 -> 1.000001 Inexact Rounded
expx021 exp 0.0000008 -> 1.000001 Inexact Rounded
expx022 exp 0.0000009 -> 1.000001 Inexact Rounded
expx023 exp 0.0000010 -> 1.000001 Inexact Rounded
expx024 exp 0.0000011 -> 1.000001 Inexact Rounded
expx025 exp 0.00000009 -> 1.000000 Inexact Rounded
expx026 exp 0.00000005 -> 1.000000 Inexact Rounded
expx027 exp 0.00000004 -> 1.000000 Inexact Rounded
expx028 exp 0.00000001 -> 1.000000 Inexact Rounded
-- and some more zeros
expx030 exp 0.00000000 -> 1
expx031 exp 0E+100 -> 1
expx032 exp 0E-100 -> 1
expx033 exp -0.00000000 -> 1
expx034 exp -0E+100 -> 1
expx035 exp -0E-100 -> 1
-- basic e=0, e=1, e=2, e=4, e>=8 cases
precision: 7
expx041 exp 1 -> 2.718282 Inexact Rounded
expx042 exp -1 -> 0.3678794 Inexact Rounded
expx043 exp 10 -> 22026.47 Inexact Rounded
expx044 exp -10 -> 0.00004539993 Inexact Rounded
expx045 exp 100 -> 2.688117E+43 Inexact Rounded
expx046 exp -100 -> 3.720076E-44 Inexact Rounded
expx047 exp 1000 -> Infinity Overflow Inexact Rounded
expx048 exp -1000 -> 0E-389 Underflow Inexact Rounded Clamped Subnormal
expx049 exp 100000000 -> Infinity Overflow Inexact Rounded
expx050 exp -100000000 -> 0E-389 Underflow Inexact Rounded Clamped Subnormal
-- miscellanea
-- similar to 'VF bug' test, at 17, but with last digit corrected for decimal
precision: 16
expx055 exp -5.42410311287441459172E+2 -> 2.717658486884572E-236 Inexact Rounded
-- result from NetRexx/Java prototype -> 2.7176584868845721117677929628617246054459644711108E-236
-- result from Rexx (series) version -> 2.717658486884572111767792962861724605446E-236
precision: 17
expx056 exp -5.42410311287441459172E+2 -> 2.7176584868845721E-236 Inexact Rounded
precision: 18
expx057 exp -5.42410311287441459172E+2 -> 2.71765848688457211E-236 Inexact Rounded
precision: 19
expx058 exp -5.42410311287441459172E+2 -> 2.717658486884572112E-236 Inexact Rounded
precision: 20
expx059 exp -5.42410311287441459172E+2 -> 2.7176584868845721118E-236 Inexact Rounded
-- rounding in areas of ..500.., ..499.., ..100.., ..999.. sequences
precision: 50
expx101 exp -9E-8 -> 0.99999991000000404999987850000273374995079250073811 Inexact Rounded
precision: 31
expx102 exp -9E-8 -> 0.9999999100000040499998785000027 Inexact Rounded
precision: 30
expx103 exp -9E-8 -> 0.999999910000004049999878500003 Inexact Rounded
precision: 29
expx104 exp -9E-8 -> 0.99999991000000404999987850000 Inexact Rounded
precision: 28
expx105 exp -9E-8 -> 0.9999999100000040499998785000 Inexact Rounded
precision: 27
expx106 exp -9E-8 -> 0.999999910000004049999878500 Inexact Rounded
precision: 26
expx107 exp -9E-8 -> 0.99999991000000404999987850 Inexact Rounded
precision: 25
expx108 exp -9E-8 -> 0.9999999100000040499998785 Inexact Rounded
precision: 24
expx109 exp -9E-8 -> 0.999999910000004049999879 Inexact Rounded
precision: 23
expx110 exp -9E-8 -> 0.99999991000000404999988 Inexact Rounded
precision: 22
expx111 exp -9E-8 -> 0.9999999100000040499999 Inexact Rounded
precision: 21
expx112 exp -9E-8 -> 0.999999910000004050000 Inexact Rounded
precision: 20
expx113 exp -9E-8 -> 0.99999991000000405000 Inexact Rounded
precision: 19
expx114 exp -9E-8 -> 0.9999999100000040500 Inexact Rounded
precision: 18
expx115 exp -9E-8 -> 0.999999910000004050 Inexact Rounded
precision: 17
expx116 exp -9E-8 -> 0.99999991000000405 Inexact Rounded
precision: 16
expx117 exp -9E-8 -> 0.9999999100000040 Inexact Rounded
precision: 15
expx118 exp -9E-8 -> 0.999999910000004 Inexact Rounded
precision: 14
expx119 exp -9E-8 -> 0.99999991000000 Inexact Rounded
precision: 13
expx120 exp -9E-8 -> 0.9999999100000 Inexact Rounded
precision: 12
expx121 exp -9E-8 -> 0.999999910000 Inexact Rounded
precision: 11
expx122 exp -9E-8 -> 0.99999991000 Inexact Rounded
precision: 10
expx123 exp -9E-8 -> 0.9999999100 Inexact Rounded
precision: 9
expx124 exp -9E-8 -> 0.999999910 Inexact Rounded
precision: 8
expx125 exp -9E-8 -> 0.99999991 Inexact Rounded
precision: 7
expx126 exp -9E-8 -> 0.9999999 Inexact Rounded
precision: 6
expx127 exp -9E-8 -> 1.00000 Inexact Rounded
precision: 5
expx128 exp -9E-8 -> 1.0000 Inexact Rounded
precision: 4
expx129 exp -9E-8 -> 1.000 Inexact Rounded
precision: 3
expx130 exp -9E-8 -> 1.00 Inexact Rounded
precision: 2
expx131 exp -9E-8 -> 1.0 Inexact Rounded
precision: 1
expx132 exp -9E-8 -> 1 Inexact Rounded
-- sanity checks, with iteration counts [normalized so 0<=|x|<1]
precision: 50
expx210 exp 0 -> 1
-- iterations: 2
expx211 exp -1E-40 -> 0.99999999999999999999999999999999999999990000000000 Inexact Rounded
-- iterations: 8
expx212 exp -9E-7 -> 0.99999910000040499987850002733749507925073811240510 Inexact Rounded
-- iterations: 6
expx213 exp -9E-8 -> 0.99999991000000404999987850000273374995079250073811 Inexact Rounded
-- iterations: 15
expx214 exp -0.003 -> 0.99700449550337297601206623409756091074177480489845 Inexact Rounded
-- iterations: 14
expx215 exp -0.001 -> 0.99900049983337499166805535716765597470235590236008 Inexact Rounded
-- iterations: 26
expx216 exp -0.1 -> 0.90483741803595957316424905944643662119470536098040 Inexact Rounded
-- iterations: 39
expx217 exp -0.7 -> 0.49658530379140951470480009339752896170766716571182 Inexact Rounded
-- iterations: 41
expx218 exp -0.9 -> 0.40656965974059911188345423964562598783370337617038 Inexact Rounded
-- iterations: 43
expx219 exp -0.99 -> 0.37157669102204569053152411990820138691802885490501 Inexact Rounded
-- iterations: 26
expx220 exp -1 -> 0.36787944117144232159552377016146086744581113103177 Inexact Rounded
-- iterations: 26
expx221 exp -1.01 -> 0.36421897957152331975704629563734548959589139192482 Inexact Rounded
-- iterations: 27
expx222 exp -1.1 -> 0.33287108369807955328884690643131552161247952156921 Inexact Rounded
-- iterations: 28
expx223 exp -1.5 -> 0.22313016014842982893328047076401252134217162936108 Inexact Rounded
-- iterations: 30
expx224 exp -2 -> 0.13533528323661269189399949497248440340763154590958 Inexact Rounded
-- iterations: 36
expx225 exp -5 -> 0.0067379469990854670966360484231484242488495850273551 Inexact Rounded
-- iterations: 26
expx226 exp -10 -> 0.000045399929762484851535591515560550610237918088866565 Inexact Rounded
-- iterations: 28
expx227 exp -14 -> 8.3152871910356788406398514256526229460765836498457E-7 Inexact Rounded
-- iterations: 29
expx228 exp -15 -> 3.0590232050182578837147949770228963937082078081856E-7 Inexact Rounded
-- iterations: 30
expx233 exp 0 -> 1
-- iterations: 2
expx234 exp 1E-40 -> 1.0000000000000000000000000000000000000001000000000 Inexact Rounded
-- iterations: 7
expx235 exp 9E-7 -> 1.0000009000004050001215000273375049207507381125949 Inexact Rounded
-- iterations: 6
expx236 exp 9E-8 -> 1.0000000900000040500001215000027337500492075007381 Inexact Rounded
-- iterations: 15
expx237 exp 0.003 -> 1.0030045045033770260129340913489002053318727195619 Inexact Rounded
-- iterations: 13
expx238 exp 0.001 -> 1.0010005001667083416680557539930583115630762005807 Inexact Rounded
-- iterations: 25
expx239 exp 0.1 -> 1.1051709180756476248117078264902466682245471947375 Inexact Rounded
-- iterations: 38
expx240 exp 0.7 -> 2.0137527074704765216245493885830652700175423941459 Inexact Rounded
-- iterations: 41
expx241 exp 0.9 -> 2.4596031111569496638001265636024706954217723064401 Inexact Rounded
-- iterations: 42
expx242 exp 0.99 -> 2.6912344723492622890998794040710139721802931841030 Inexact Rounded
-- iterations: 26
expx243 exp 1 -> 2.7182818284590452353602874713526624977572470937000 Inexact Rounded
-- iterations: 26
expx244 exp 1.01 -> 2.7456010150169164939897763166603876240737508195960 Inexact Rounded
-- iterations: 26
expx245 exp 1.1 -> 3.0041660239464331120584079535886723932826810260163 Inexact Rounded
-- iterations: 28
expx246 exp 1.5 -> 4.4816890703380648226020554601192758190057498683697 Inexact Rounded
-- iterations: 29
expx247 exp 2 -> 7.3890560989306502272304274605750078131803155705518 Inexact Rounded
-- iterations: 36
expx248 exp 5 -> 148.41315910257660342111558004055227962348766759388 Inexact Rounded
-- iterations: 26
expx249 exp 10 -> 22026.465794806716516957900645284244366353512618557 Inexact Rounded
-- iterations: 28
expx250 exp 14 -> 1202604.2841647767777492367707678594494124865433761 Inexact Rounded
-- iterations: 28
expx251 exp 15 -> 3269017.3724721106393018550460917213155057385438200 Inexact Rounded
-- iterations: 29
-- a biggie [result verified 3 ways]
precision: 250
expx260 exp 1 -> 2.718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466391932003059921817413596629043572900334295260595630738132328627943490763233829880753195251019011573834187930702154089149934884167509244761460668 Inexact Rounded
-- extreme range boundaries
precision: 16
maxExponent: 999999
minExponent: -999999
-- Ntiny boundary
expx290 exp -2302618.022332529 -> 0E-1000014 Underflow Subnormal Inexact Rounded Clamped
expx291 exp -2302618.022332528 -> 1E-1000014 Underflow Subnormal Inexact Rounded
-- Nmax/10 and Nmax boundary
expx292 exp 2302582.790408952 -> 9.999999993100277E+999998 Inexact Rounded
expx293 exp 2302582.790408953 -> 1.000000000310028E+999999 Inexact Rounded
expx294 exp 2302585.092993946 -> 9.999999003159870E+999999 Inexact Rounded
expx295 exp 2302585.092994036 -> 9.999999903159821E+999999 Inexact Rounded
expx296 exp 2302585.092994045 -> 9.999999993159820E+999999 Inexact Rounded
expx297 exp 2302585.092994046 -> Infinity Overflow Inexact Rounded
-- 0<-x<<1 effects
precision: 30
expx320 exp -4.9999999999999E-8 -> 0.999999950000001250000979166617 Inexact Rounded
expx321 exp -5.0000000000000E-8 -> 0.999999950000001249999979166667 Inexact Rounded
expx322 exp -5.0000000000001E-8 -> 0.999999950000001249998979166717 Inexact Rounded
precision: 20
expx323 exp -4.9999999999999E-8 -> 0.99999995000000125000 Inexact Rounded
expx324 exp -5.0000000000000E-8 -> 0.99999995000000125000 Inexact Rounded
expx325 exp -5.0000000000001E-8 -> 0.99999995000000125000 Inexact Rounded
precision: 14
expx326 exp -4.9999999999999E-8 -> 0.99999995000000 Inexact Rounded
expx327 exp -5.0000000000000E-8 -> 0.99999995000000 Inexact Rounded
expx328 exp -5.0000000000001E-8 -> 0.99999995000000 Inexact Rounded
-- overprecise and 0<-x<<1
precision: 8
expx330 exp -4.9999999999999E-8 -> 0.99999995 Inexact Rounded
expx331 exp -5.0000000000000E-8 -> 0.99999995 Inexact Rounded
expx332 exp -5.0000000000001E-8 -> 0.99999995 Inexact Rounded
precision: 7
expx333 exp -4.9999999999999E-8 -> 1.000000 Inexact Rounded
expx334 exp -5.0000000000000E-8 -> 1.000000 Inexact Rounded
expx335 exp -5.0000000000001E-8 -> 1.000000 Inexact Rounded
precision: 3
expx336 exp -4.9999999999999E-8 -> 1.00 Inexact Rounded
expx337 exp -5.0000000000000E-8 -> 1.00 Inexact Rounded
expx338 exp -5.0000000000001E-8 -> 1.00 Inexact Rounded
-- 0<x<<1 effects
precision: 30
expx340 exp 4.9999999999999E-8 -> 1.00000005000000124999902083328 Inexact Rounded
expx341 exp 5.0000000000000E-8 -> 1.00000005000000125000002083333 Inexact Rounded
expx342 exp 5.0000000000001E-8 -> 1.00000005000000125000102083338 Inexact Rounded
precision: 20
expx343 exp 4.9999999999999E-8 -> 1.0000000500000012500 Inexact Rounded
expx344 exp 5.0000000000000E-8 -> 1.0000000500000012500 Inexact Rounded
expx345 exp 5.0000000000001E-8 -> 1.0000000500000012500 Inexact Rounded
precision: 14
expx346 exp 4.9999999999999E-8 -> 1.0000000500000 Inexact Rounded
expx347 exp 5.0000000000000E-8 -> 1.0000000500000 Inexact Rounded
expx348 exp 5.0000000000001E-8 -> 1.0000000500000 Inexact Rounded
-- overprecise and 0<x<<1
precision: 8
expx350 exp 4.9999999999999E-8 -> 1.0000001 Inexact Rounded
expx351 exp 5.0000000000000E-8 -> 1.0000001 Inexact Rounded
expx352 exp 5.0000000000001E-8 -> 1.0000001 Inexact Rounded
precision: 7
expx353 exp 4.9999999999999E-8 -> 1.000000 Inexact Rounded
expx354 exp 5.0000000000000E-8 -> 1.000000 Inexact Rounded
expx355 exp 5.0000000000001E-8 -> 1.000000 Inexact Rounded
precision: 3
expx356 exp 4.9999999999999E-8 -> 1.00 Inexact Rounded
expx357 exp 5.0000000000000E-8 -> 1.00 Inexact Rounded
expx358 exp 5.0000000000001E-8 -> 1.00 Inexact Rounded
-- cases near 1 -- 1 2345678901234567890
precision: 20
expx401 exp 0.99999999999996 -> 2.7182818284589365041 Inexact Rounded
expx402 exp 0.99999999999997 -> 2.7182818284589636869 Inexact Rounded
expx403 exp 0.99999999999998 -> 2.7182818284589908697 Inexact Rounded
expx404 exp 0.99999999999999 -> 2.7182818284590180525 Inexact Rounded
expx405 exp 1.0000000000000 -> 2.7182818284590452354 Inexact Rounded
expx406 exp 1.0000000000001 -> 2.7182818284593170635 Inexact Rounded
expx407 exp 1.0000000000002 -> 2.7182818284595888917 Inexact Rounded
precision: 14
expx411 exp 0.99999999999996 -> 2.7182818284589 Inexact Rounded
expx412 exp 0.99999999999997 -> 2.7182818284590 Inexact Rounded
expx413 exp 0.99999999999998 -> 2.7182818284590 Inexact Rounded
expx414 exp 0.99999999999999 -> 2.7182818284590 Inexact Rounded
expx415 exp 1.0000000000000 -> 2.7182818284590 Inexact Rounded
expx416 exp 1.0000000000001 -> 2.7182818284593 Inexact Rounded
expx417 exp 1.0000000000002 -> 2.7182818284596 Inexact Rounded
-- overprecise...
precision: 7
expx421 exp 0.99999999999996 -> 2.718282 Inexact Rounded
expx422 exp 0.99999999999997 -> 2.718282 Inexact Rounded
expx423 exp 0.99999999999998 -> 2.718282 Inexact Rounded
expx424 exp 0.99999999999999 -> 2.718282 Inexact Rounded
expx425 exp 1.0000000000001 -> 2.718282 Inexact Rounded
expx426 exp 1.0000000000002 -> 2.718282 Inexact Rounded
expx427 exp 1.0000000000003 -> 2.718282 Inexact Rounded
precision: 2
Loading ...