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cpython/Lib/test/decimaltestdata/exp.decTest

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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
------------------------------------------------------------------------
-- exp.decTest -- decimal natural exponentiation --
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 --
------------------------------------------------------------------------
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
version: 2.58
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
-- Tests of the exponential funtion. 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
expx431 exp 0.99999999999996 -> 2.7 Inexact Rounded
expx432 exp 0.99999999999997 -> 2.7 Inexact Rounded
expx433 exp 0.99999999999998 -> 2.7 Inexact Rounded
expx434 exp 0.99999999999999 -> 2.7 Inexact Rounded
expx435 exp 1.0000000000001 -> 2.7 Inexact Rounded
expx436 exp 1.0000000000002 -> 2.7 Inexact Rounded
expx437 exp 1.0000000000003 -> 2.7 Inexact Rounded
-- basics at low precisions
precision: 3
expx501 exp -Infinity -> 0
expx502 exp -10 -> 0.0000454 Inexact Rounded
expx503 exp -1 -> 0.368 Inexact Rounded
expx504 exp 0 -> 1
expx505 exp -0 -> 1
expx506 exp 1 -> 2.72 Inexact Rounded
expx507 exp 0.693147181 -> 2.00 Inexact Rounded
expx508 exp 10 -> 2.20E+4 Inexact Rounded
expx509 exp +Infinity -> Infinity
precision: 2
expx511 exp -Infinity -> 0
expx512 exp -10 -> 0.000045 Inexact Rounded
expx513 exp -1 -> 0.37 Inexact Rounded
expx514 exp 0 -> 1
expx515 exp -0 -> 1
expx516 exp 1 -> 2.7 Inexact Rounded
expx517 exp 0.693147181 -> 2.0 Inexact Rounded
expx518 exp 10 -> 2.2E+4 Inexact Rounded
expx519 exp +Infinity -> Infinity
precision: 1
expx521 exp -Infinity -> 0
expx522 exp -10 -> 0.00005 Inexact Rounded
expx523 exp -1 -> 0.4 Inexact Rounded
expx524 exp 0 -> 1
expx525 exp -0 -> 1
expx526 exp 1 -> 3 Inexact Rounded
expx527 exp 0.693147181 -> 2 Inexact Rounded
expx528 exp 10 -> 2E+4 Inexact Rounded
expx529 exp +Infinity -> Infinity
-- overflows, including some overprecise borderlines
precision: 7
maxExponent: 384
minExponent: -383
expx701 exp 1000000000 -> Infinity Overflow Inexact Rounded
expx702 exp 100000000 -> Infinity Overflow Inexact Rounded
expx703 exp 10000000 -> Infinity Overflow Inexact Rounded
expx704 exp 1000000 -> Infinity Overflow Inexact Rounded
expx705 exp 100000 -> Infinity Overflow Inexact Rounded
expx706 exp 10000 -> Infinity Overflow Inexact Rounded
expx707 exp 1000 -> Infinity Overflow Inexact Rounded
expx708 exp 886.4952608 -> Infinity Overflow Inexact Rounded
expx709 exp 886.4952607 -> 9.999999E+384 Inexact Rounded
expx710 exp 886.49527 -> Infinity Overflow Inexact Rounded
expx711 exp 886.49526 -> 9.999992E+384 Inexact Rounded
precision: 16
expx721 exp 886.4952608027075883 -> Infinity Overflow Inexact Rounded
expx722 exp 886.4952608027075882 -> 9.999999999999999E+384 Inexact Rounded
expx723 exp 886.49526080270759 -> Infinity Overflow Inexact Rounded
expx724 exp 886.49526080270758 -> 9.999999999999917E+384 Inexact Rounded
expx725 exp 886.4952608027076 -> Infinity Overflow Inexact Rounded
expx726 exp 886.4952608027075 -> 9.999999999999117E+384 Inexact Rounded
-- and by special request ...
precision: 15
expx731 exp 886.495260802708 -> Infinity Overflow Inexact Rounded
expx732 exp 886.495260802707 -> 9.99999999999412E+384 Inexact Rounded
expx733 exp 886.495260802706 -> 9.99999999998412E+384 Inexact Rounded
maxExponent: 999
minExponent: -999
expx735 exp 2302.58509299405 -> Infinity Overflow Inexact Rounded
expx736 exp 2302.58509299404 -> 9.99999999994316E+999 Inexact Rounded
expx737 exp 2302.58509299403 -> 9.99999999984316E+999 Inexact Rounded
-- subnormals and underflows, including underflow-to-zero edge point
precision: 7
maxExponent: 384
minExponent: -383
expx751 exp -1000000000 -> 0E-389 Underflow Inexact Rounded Clamped Subnormal
expx752 exp -100000000 -> 0E-389 Underflow Inexact Rounded Clamped Subnormal
expx753 exp -10000000 -> 0E-389 Underflow Inexact Rounded Clamped Subnormal
expx754 exp -1000000 -> 0E-389 Underflow Inexact Rounded Clamped Subnormal
expx755 exp -100000 -> 0E-389 Underflow Inexact Rounded Clamped Subnormal
expx756 exp -10000 -> 0E-389 Underflow Inexact Rounded Clamped Subnormal
expx757 exp -1000 -> 0E-389 Underflow Inexact Rounded Clamped Subnormal
expx758 exp -881.89009 -> 1.000001E-383 Inexact Rounded
expx759 exp -881.8901 -> 9.99991E-384 Inexact Rounded Underflow Subnormal
expx760 exp -885 -> 4.4605E-385 Inexact Rounded Underflow Subnormal
expx761 exp -888 -> 2.221E-386 Inexact Rounded Underflow Subnormal
expx762 exp -890 -> 3.01E-387 Inexact Rounded Underflow Subnormal
expx763 exp -892.9 -> 1.7E-388 Inexact Rounded Underflow Subnormal
expx764 exp -893 -> 1.5E-388 Inexact Rounded Underflow Subnormal
expx765 exp -893.5 -> 9E-389 Inexact Rounded Underflow Subnormal
expx766 exp -895.7056 -> 1E-389 Inexact Rounded Underflow Subnormal
expx769 exp -895.8 -> 1E-389 Inexact Rounded Underflow Subnormal
expx770 exp -895.73 -> 1E-389 Inexact Rounded Underflow Subnormal
expx771 exp -896.3987 -> 1E-389 Inexact Rounded Underflow Subnormal
expx772 exp -896.3988 -> 0E-389 Inexact Rounded Underflow Subnormal Clamped
expx773 exp -898.0081 -> 0E-389 Inexact Rounded Underflow Subnormal Clamped
expx774 exp -898.0082 -> 0E-389 Inexact Rounded Underflow Subnormal Clamped
-- special values
maxexponent: 999
minexponent: -999
expx820 exp Inf -> Infinity
expx821 exp -Inf -> 0
expx822 exp NaN -> NaN
expx823 exp sNaN -> NaN Invalid_operation
-- propagating NaNs
expx824 exp sNaN123 -> NaN123 Invalid_operation
expx825 exp -sNaN321 -> -NaN321 Invalid_operation
expx826 exp NaN456 -> NaN456
expx827 exp -NaN654 -> -NaN654
expx828 exp NaN1 -> NaN1
-- Invalid operations due to restrictions
-- [next two probably skipped by most test harnesses]
precision: 100000000
expx901 exp -Infinity -> NaN Invalid_context
precision: 99999999
expx902 exp -Infinity -> NaN Invalid_context
precision: 9
maxExponent: 1000000
minExponent: -999999
expx903 exp -Infinity -> NaN Invalid_context
maxExponent: 999999
minExponent: -999999
expx904 exp -Infinity -> 0
maxExponent: 999999
minExponent: -1000000
expx905 exp -Infinity -> NaN Invalid_context
maxExponent: 999999
minExponent: -999998
expx906 exp -Infinity -> 0
--
maxExponent: 384
minExponent: -383
precision: 16
rounding: half_even
-- Null test
expx900 exp # -> NaN Invalid_operation
-- Randoms P=50, within 0-999
Precision: 50
maxExponent: 384
minExponent: -383
expx1501 exp 656.35397950590285612266095596539934213943872885728 -> 1.1243757610640319783611178528839652672062820040314E+285 Inexact Rounded
expx1502 exp 0.93620571093652800225038550600780322831236082781471 -> 2.5502865130986176689199711857825771311178046842009 Inexact Rounded
expx1503 exp 0.00000000000000008340785856601514714183373874105791 -> 1.0000000000000000834078585660151506202691740252512 Inexact Rounded
expx1504 exp 0.00009174057262887789625745574686545163168788456203 -> 1.0000917447809239005146722341251524081006051473273 Inexact Rounded
expx1505 exp 33.909116897973797735657751591014926629051117541243 -> 532773181025002.03543618901306726495870476617232229 Inexact Rounded
expx1506 exp 0.00000740470413004406592124575295278456936809587311 -> 1.0000074047315449333590066395670306135567889210814 Inexact Rounded
expx1507 exp 0.00000000000124854922222108802453746922483071445492 -> 1.0000000000012485492222218674621176239911424968263 Inexact Rounded
expx1508 exp 4.1793280674155659794286951159430651258356014391382 -> 65.321946520147199404199787811336860087975118278185 Inexact Rounded
expx1509 exp 485.43595745460655893746179890255529919221550201686 -> 6.6398403920459617255950476953129377459845366585463E+210 Inexact Rounded
expx1510 exp 0.00000000003547259806590856032527875157830328156597 -> 1.0000000000354725980665377129320589406715000685515 Inexact Rounded
expx1511 exp 0.00000000000000759621497339104047930616478635042678 -> 1.0000000000000075962149733910693305471257715463887 Inexact Rounded
expx1512 exp 9.7959168821760339304571595474480640286072720233796 -> 17960.261146042955179164303653412650751681436352437 Inexact Rounded
expx1513 exp 0.00000000566642006258290526783901451194943164535581 -> 1.0000000056664200786370634609832438815665249347650 Inexact Rounded
expx1514 exp 741.29888791134298194088827572374718940925820027354 -> 8.7501694006317332808128946666402622432064923198731E+321 Inexact Rounded
expx1515 exp 032.75573003552517668808529099897153710887014947935 -> 168125196578678.17725841108617955904425345631092339 Inexact Rounded
expx1516 exp 42.333700726429333308594265553422902463737399437644 -> 2428245675864172475.4681119493045657797309369672012 Inexact Rounded
expx1517 exp 0.00000000000000559682616876491888197609158802835798 -> 1.0000000000000055968261687649345442076732739577049 Inexact Rounded
expx1518 exp 0.00000000000080703688668280193584758300973549486312 -> 1.0000000000008070368866831275901158164321867914342 Inexact Rounded
expx1519 exp 640.72396012796509482382712891709072570653606838251 -> 1.8318094990683394229304133068983914236995326891045E+278 Inexact Rounded
expx1520 exp 0.00000000000000509458922167631071416948112219512224 -> 1.0000000000000050945892216763236915891499324358556 Inexact Rounded
expx1521 exp 6.7670394314315206378625221583973414660727960241395 -> 868.73613012822031367806248697092884415119568271315 Inexact Rounded
expx1522 exp 04.823217407412963506638267226891024138054783122548 -> 124.36457929588837129731821077586705505565904205366 Inexact Rounded
expx1523 exp 193.51307878701196403991208482520115359690106143615 -> 1.1006830872854715677390914655452261550768957576034E+84 Inexact Rounded
expx1524 exp 5.7307749038303650539200345901210497015617393970463 -> 308.20800743106843083522721523715645950574866495196 Inexact Rounded
expx1525 exp 0.00000000000095217825199797965200541169123743500267 -> 1.0000000000009521782519984329737172007991390381273 Inexact Rounded
expx1526 exp 0.00027131440949183370966393682617930153495028919140 -> 1.0002713512185751022906058160480606598754913607364 Inexact Rounded
expx1527 exp 0.00000000064503059114680682343002315662069272707123 -> 1.0000000006450305913548390552323517403613135496633 Inexact Rounded
expx1528 exp 0.00000000000000095616643506527288866235238548440593 -> 1.0000000000000009561664350652733457894781582009094 Inexact Rounded
expx1529 exp 0.00000000000000086449942811678650244459550252743433 -> 1.0000000000000008644994281167868761242261096529986 Inexact Rounded
expx1530 exp 0.06223488355635359965683053157729204988381887621850 -> 1.0642122813392406657789688931838919323826250630831 Inexact Rounded
expx1531 exp 0.00000400710807804429435502657131912308680674057053 -> 1.0000040071161065125925620890019319832127863559260 Inexact Rounded
expx1532 exp 85.522796894744576211573232055494551429297878413017 -> 13870073686404228452757799770251085177.853337368935 Inexact Rounded
expx1533 exp 9.1496720811363678696938036379756663548353399954363 -> 9411.3537122832743386783597629161763057370034495157 Inexact Rounded
expx1534 exp 8.2215705240788294472944382056330516738577785177942 -> 3720.3406813383076953899654701615084425598377758189 Inexact Rounded
expx1535 exp 0.00000000015772064569640613142823203726821076239561 -> 1.0000000001577206457088440324683315788358926129830 Inexact Rounded
expx1536 exp 0.58179346473959531432624153576883440625538017532480 -> 1.7892445018275360163797022372655837188423194863605 Inexact Rounded
expx1537 exp 33.555726197149525061455517784870570470833498096559 -> 374168069896324.62578073148993526626307095854407952 Inexact Rounded
expx1538 exp 9.7898079803906215094140010009583375537259810398659 -> 17850.878119912208888217100998019986634620368538426 Inexact Rounded
expx1539 exp 89.157697327174521542502447953032536541038636966347 -> 525649152320166503771224149330448089550.67293829227 Inexact Rounded
expx1540 exp 25.022947600123328912029051897171319573322888514885 -> 73676343442.952517824345431437683153304645851960524 Inexact Rounded
-- exp(1) at 34
Precision: 34
expx1200 exp 1 -> 2.718281828459045235360287471352662 Inexact Rounded
-- Randoms P=34, within 0-999
Precision: 34
maxExponent: 6144
minExponent: -6143
expx1201 exp 309.5948855821510212996700645087188 -> 2.853319692901387521201738015050724E+134 Inexact Rounded
expx1202 exp 9.936543068706211420422803962680164 -> 20672.15839203171877476511093276022 Inexact Rounded
expx1203 exp 6.307870323881505684429839491707908 -> 548.8747777054637296137277391754665 Inexact Rounded
expx1204 exp 0.0003543281389438420535201308282503 -> 1.000354390920573746164733350843155 Inexact Rounded
expx1205 exp 0.0000037087453363918375598394920229 -> 1.000003708752213796324841920189323 Inexact Rounded
expx1206 exp 0.0020432312687512438040222444116585 -> 1.002045320088164826013561630975308 Inexact Rounded
expx1207 exp 6.856313340032177672550343216129586 -> 949.8587981604144147983589660524396 Inexact Rounded
expx1208 exp 0.0000000000402094928333815643326418 -> 1.000000000040209492834189965989612 Inexact Rounded
expx1209 exp 0.0049610784722412117632647003545839 -> 1.004973404997901987039589029277833 Inexact Rounded
expx1210 exp 0.0000891471883724066909746786702686 -> 1.000089151162101085412780088266699 Inexact Rounded
expx1211 exp 08.59979170376061890684723211112566 -> 5430.528314920905714615339273738097 Inexact Rounded
expx1212 exp 9.473117039341003854872778112752590 -> 13005.36234331224953460055897913917 Inexact Rounded
expx1213 exp 0.0999060724692207648429969999310118 -> 1.105067116975190602296052700726802 Inexact Rounded
expx1214 exp 0.0000000927804533555877884082269247 -> 1.000000092780457659694183954740772 Inexact Rounded
expx1215 exp 0.0376578583872889916298772818265677 -> 1.038375900489771946477857818447556 Inexact Rounded
expx1216 exp 261.6896411697539524911536116712307 -> 4.470613562127465095241600174941460E+113 Inexact Rounded
expx1217 exp 0.0709997423269162980875824213889626 -> 1.073580949235407949417814485533172 Inexact Rounded
expx1218 exp 0.0000000444605583295169895235658731 -> 1.000000044460559317887627657593900 Inexact Rounded
expx1219 exp 0.0000021224072854777512281369815185 -> 1.000002122409537785687390631070906 Inexact Rounded
expx1220 exp 547.5174462574156885473558485475052 -> 6.078629247383807942612114579728672E+237 Inexact Rounded
expx1221 exp 0.0000009067598041615192002339844670 -> 1.000000906760215268314680115374387 Inexact Rounded
expx1222 exp 0.0316476500308065365803455533244603 -> 1.032153761880187977658387961769034 Inexact Rounded
expx1223 exp 84.46160530377645101833996706384473 -> 4.799644995897968383503269871697856E+36 Inexact Rounded
expx1224 exp 0.0000000000520599740290848018904145 -> 1.000000000052059974030439922338393 Inexact Rounded
expx1225 exp 0.0000006748530640093620665651726708 -> 1.000000674853291722742292331812997 Inexact Rounded
expx1226 exp 0.0000000116853119761042020507916169 -> 1.000000011685312044377460306165203 Inexact Rounded
expx1227 exp 0.0022593818094258636727616886693280 -> 1.002261936135876893707094845543461 Inexact Rounded
expx1228 exp 0.0029398857673478912249856509667517 -> 1.002944211469495086813087651287012 Inexact Rounded
expx1229 exp 0.7511480029928802775376270557636963 -> 2.119431734510320169806976569366789 Inexact Rounded
expx1230 exp 174.9431952176750671150886423048447 -> 9.481222305374955011464619468044051E+75 Inexact Rounded
expx1231 exp 0.0000810612451694136129199895164424 -> 1.000081064530720924186615149646920 Inexact Rounded
expx1232 exp 51.06888989702669288180946272499035 -> 15098613888619165073959.89896018749 Inexact Rounded
expx1233 exp 0.0000000005992887599437093651494510 -> 1.000000000599288760123282874082758 Inexact Rounded
expx1234 exp 714.8549046761054856311108828903972 -> 2.867744544891081117381595080480784E+310 Inexact Rounded
expx1235 exp 0.0000000004468247802990643645607110 -> 1.000000000446824780398890556720233 Inexact Rounded
expx1236 exp 831.5818151589890366323551672043709 -> 1.417077409182624969435938062261655E+361 Inexact Rounded
expx1237 exp 0.0000000006868323825179605747108044 -> 1.000000000686832382753829935602454 Inexact Rounded
expx1238 exp 0.0000001306740266408976840228440255 -> 1.000000130674035178748675187648098 Inexact Rounded
expx1239 exp 0.3182210609022267704811502412335163 -> 1.374680115667798185758927247894859 Inexact Rounded
expx1240 exp 0.0147741234179104437440264644295501 -> 1.014883800239950682628277534839222 Inexact Rounded
-- Randoms P=16, within 0-99
Precision: 16
maxExponent: 384
minExponent: -383
expx1101 exp 8.473011527013724 -> 4783.900643969246 Inexact Rounded
expx1102 exp 0.0000055753022764 -> 1.000005575317818 Inexact Rounded
expx1103 exp 0.0000323474114482 -> 1.000032347934631 Inexact Rounded
expx1104 exp 64.54374138544166 -> 1.073966476173531E+28 Inexact Rounded
expx1105 exp 90.47203246416569 -> 1.956610887250643E+39 Inexact Rounded
expx1106 exp 9.299931532342757 -> 10937.27033325227 Inexact Rounded
expx1107 exp 8.759678437852203 -> 6372.062234495381 Inexact Rounded
expx1108 exp 0.0000931755127172 -> 1.000093179853690 Inexact Rounded
expx1109 exp 0.0000028101158373 -> 1.000002810119786 Inexact Rounded
expx1110 exp 0.0000008008130919 -> 1.000000800813413 Inexact Rounded
expx1111 exp 8.339771722299049 -> 4187.133803081878 Inexact Rounded
expx1112 exp 0.0026140497995474 -> 1.002617469406750 Inexact Rounded
expx1113 exp 0.7478033356261771 -> 2.112354781975418 Inexact Rounded
expx1114 exp 51.77663761827966 -> 3.064135801120365E+22 Inexact Rounded
expx1115 exp 0.1524989783061012 -> 1.164741272084955 Inexact Rounded
expx1116 exp 0.0066298798669219 -> 1.006651906170791 Inexact Rounded
expx1117 exp 9.955141865534960 -> 21060.23334287038 Inexact Rounded
expx1118 exp 92.34503059198483 -> 1.273318993481226E+40 Inexact Rounded
expx1119 exp 0.0000709388677346 -> 1.000070941383956 Inexact Rounded
expx1120 exp 79.12883036433204 -> 2.318538899389243E+34 Inexact Rounded
expx1121 exp 0.0000090881548873 -> 1.000009088196185 Inexact Rounded
expx1122 exp 0.0424828809603411 -> 1.043398194245720 Inexact Rounded
expx1123 exp 0.8009035891427416 -> 2.227552811933310 Inexact Rounded
expx1124 exp 8.825786167283102 -> 6807.540455289995 Inexact Rounded
expx1125 exp 1.535457249746275 -> 4.643448260146849 Inexact Rounded
expx1126 exp 69.02254254355800 -> 9.464754500670653E+29 Inexact Rounded
expx1127 exp 0.0007050554368713 -> 1.000705304046880 Inexact Rounded
expx1128 exp 0.0000081206549504 -> 1.000008120687923 Inexact Rounded
expx1129 exp 0.621774854641137 -> 1.862230298554903 Inexact Rounded
expx1130 exp 3.847629031404354 -> 46.88177613568203 Inexact Rounded
expx1131 exp 24.81250184697732 -> 59694268456.19966 Inexact Rounded
expx1132 exp 5.107546500516044 -> 165.2643809755670 Inexact Rounded
expx1133 exp 79.17810943951986 -> 2.435656372541360E+34 Inexact Rounded
expx1134 exp 0.0051394695667015 -> 1.005152699295301 Inexact Rounded
expx1135 exp 57.44504488501725 -> 8.872908566929688E+24 Inexact Rounded
expx1136 exp 0.0000508388968036 -> 1.000050840189122 Inexact Rounded
expx1137 exp 69.71309932148997 -> 1.888053740693541E+30 Inexact Rounded
expx1138 exp 0.0064183412981502 -> 1.006438982988835 Inexact Rounded
expx1139 exp 9.346991220814677 -> 11464.27802035082 Inexact Rounded
expx1140 exp 33.09087139999152 -> 235062229168763.5 Inexact Rounded
-- Randoms P=7, within 0-9
Precision: 7
maxExponent: 96
minExponent: -95
expx1001 exp 2.395441 -> 10.97304 Inexact Rounded
expx1002 exp 0.6406779 -> 1.897767 Inexact Rounded
expx1003 exp 0.5618218 -> 1.753865 Inexact Rounded
expx1004 exp 3.055120 -> 21.22373 Inexact Rounded
expx1005 exp 1.536792 -> 4.649650 Inexact Rounded
expx1006 exp 0.0801591 -> 1.083459 Inexact Rounded
expx1007 exp 0.0966875 -> 1.101516 Inexact Rounded
expx1008 exp 0.0646761 -> 1.066813 Inexact Rounded
expx1009 exp 0.0095670 -> 1.009613 Inexact Rounded
expx1010 exp 2.956859 -> 19.23745 Inexact Rounded
expx1011 exp 7.504679 -> 1816.522 Inexact Rounded
expx1012 exp 0.0045259 -> 1.004536 Inexact Rounded
expx1013 exp 3.810071 -> 45.15364 Inexact Rounded
expx1014 exp 1.502390 -> 4.492413 Inexact Rounded
expx1015 exp 0.0321523 -> 1.032675 Inexact Rounded
expx1016 exp 0.0057214 -> 1.005738 Inexact Rounded
expx1017 exp 9.811445 -> 18241.33 Inexact Rounded
expx1018 exp 3.245249 -> 25.66810 Inexact Rounded
expx1019 exp 0.3189742 -> 1.375716 Inexact Rounded
expx1020 exp 0.8621610 -> 2.368273 Inexact Rounded
expx1021 exp 0.0122511 -> 1.012326 Inexact Rounded
expx1022 exp 2.202088 -> 9.043877 Inexact Rounded
expx1023 exp 8.778203 -> 6491.202 Inexact Rounded
expx1024 exp 0.1896279 -> 1.208800 Inexact Rounded
expx1025 exp 0.4510947 -> 1.570030 Inexact Rounded
expx1026 exp 0.276413 -> 1.318392 Inexact Rounded
expx1027 exp 4.490067 -> 89.12742 Inexact Rounded
expx1028 exp 0.0439786 -> 1.044960 Inexact Rounded
expx1029 exp 0.8168245 -> 2.263301 Inexact Rounded
expx1030 exp 0.0391658 -> 1.039943 Inexact Rounded
expx1031 exp 9.261816 -> 10528.24 Inexact Rounded
expx1032 exp 9.611186 -> 14930.87 Inexact Rounded
expx1033 exp 9.118125 -> 9119.087 Inexact Rounded
expx1034 exp 9.469083 -> 12953.00 Inexact Rounded
expx1035 exp 0.0499983 -> 1.051269 Inexact Rounded
expx1036 exp 0.0050746 -> 1.005087 Inexact Rounded
expx1037 exp 0.0014696 -> 1.001471 Inexact Rounded
expx1038 exp 9.138494 -> 9306.739 Inexact Rounded
expx1039 exp 0.0065436 -> 1.006565 Inexact Rounded
expx1040 exp 0.7284803 -> 2.071930 Inexact Rounded