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------------------------------------------------------------------------
-- 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 --
-- [email protected] --
------------------------------------------------------------------------
version: 2.59
-- 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 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 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