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cpython/Lib/test/decimaltestdata/power.decTest

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Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
----------------------------------------------------------------------
-- power.decTest -- decimal exponentiation --
-- Copyright (c) IBM Corporation, 1981, 2003. 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: 2.38
-- This set of testcases tests raising numbers to an integer power only.
-- If arbitrary powers were supported, 1 ulp differences would be
-- permitted.
extended: 1
precision: 9
rounding: half_up
maxExponent: 999
minexponent: -999
-- base checks. Note 0**0 is an error.
powx001 power '0' '0' -> NaN Invalid_operation
powx002 power '0' '1' -> '0'
powx003 power '0' '2' -> '0'
powx004 power '1' '0' -> '1'
powx005 power '1' '1' -> '1'
powx006 power '1' '2' -> '1'
powx010 power '2' '0' -> '1'
powx011 power '2' '1' -> '2'
powx012 power '2' '2' -> '4'
powx013 power '2' '3' -> '8'
powx014 power '2' '4' -> '16'
powx015 power '2' '5' -> '32'
powx016 power '2' '6' -> '64'
powx017 power '2' '7' -> '128'
powx018 power '2' '8' -> '256'
powx019 power '2' '9' -> '512'
powx020 power '2' '10' -> '1024'
powx021 power '2' '11' -> '2048'
powx022 power '2' '12' -> '4096'
powx023 power '2' '15' -> '32768'
powx024 power '2' '16' -> '65536'
powx025 power '2' '31' -> '2.14748365E+9' Inexact Rounded
-- NB 0 not stripped in next
powx026 power '2' '32' -> '4.29496730E+9' Inexact Rounded
precision: 10
powx027 power '2' '31' -> '2147483648'
powx028 power '2' '32' -> '4294967296'
precision: 9
powx030 power '3' '2' -> 9
powx031 power '4' '2' -> 16
powx032 power '5' '2' -> 25
powx033 power '6' '2' -> 36
powx034 power '7' '2' -> 49
powx035 power '8' '2' -> 64
powx036 power '9' '2' -> 81
powx037 power '10' '2' -> 100
powx038 power '11' '2' -> 121
powx039 power '12' '2' -> 144
powx040 power '3' '3' -> 27
powx041 power '4' '3' -> 64
powx042 power '5' '3' -> 125
powx043 power '6' '3' -> 216
powx044 power '7' '3' -> 343
powx050 power '10' '0' -> 1
powx051 power '10' '1' -> 10
powx052 power '10' '2' -> 100
powx053 power '10' '3' -> 1000
powx054 power '10' '4' -> 10000
powx055 power '10' '5' -> 100000
powx056 power '10' '6' -> 1000000
powx057 power '10' '7' -> 10000000
powx058 power '10' '8' -> 100000000
powx059 power '10' '9' -> 1.00000000E+9 Rounded
powx060 power '10' '22' -> 1.00000000E+22 Rounded
powx061 power '10' '77' -> 1.00000000E+77 Rounded
powx062 power '10' '99' -> 1.00000000E+99 Rounded
maxexponent: 999999999
minexponent: -999999999
powx063 power '10' '999999999' -> '1.00000000E+999999999' Rounded
powx064 power '10' '999999998' -> '1.00000000E+999999998' Rounded
powx065 power '10' '999999997' -> '1.00000000E+999999997' Rounded
powx066 power '10' '333333333' -> '1.00000000E+333333333' Rounded
powx070 power '0.3' '0' -> '1'
powx071 power '0.3' '1' -> '0.3'
powx072 power '0.3' '1.00' -> '0.3'
powx073 power '0.3' '2.00' -> '0.09'
powx074 power '0.3' '2.000000000' -> '0.09'
powx075 power '6.0' '1' -> '6.0' -- NB zeros not stripped
powx076 power '6.0' '2' -> '36.00' -- ..
powx077 power '-3' '2' -> '9' -- from NetRexx book
powx078 power '4' '3' -> '64' -- .. (sort of)
powx080 power 0.1 0 -> 1
powx081 power 0.1 1 -> 0.1
powx082 power 0.1 2 -> 0.01
powx083 power 0.1 3 -> 0.001
powx084 power 0.1 4 -> 0.0001
powx085 power 0.1 5 -> 0.00001
powx086 power 0.1 6 -> 0.000001
powx087 power 0.1 7 -> 1E-7
powx088 power 0.1 8 -> 1E-8
powx089 power 0.1 9 -> 1E-9
powx090 power 101 2 -> 10201
powx091 power 101 3 -> 1030301
powx092 power 101 4 -> 104060401
powx093 power 101 5 -> 1.05101005E+10 Inexact Rounded
powx094 power 101 6 -> 1.06152015E+12 Inexact Rounded
powx095 power 101 7 -> 1.07213535E+14 Inexact Rounded
-- negative powers
powx101 power '2' '-1' -> 0.5
powx102 power '2' '-2' -> 0.25
powx103 power '2' '-4' -> 0.0625
powx104 power '2' '-8' -> 0.00390625
powx105 power '2' '-16' -> 0.0000152587891 Inexact Rounded
powx106 power '2' '-32' -> 2.32830644E-10 Inexact Rounded
powx108 power '2' '-64' -> 5.42101086E-20 Inexact Rounded
powx110 power '10' '-8' -> 1E-8
powx111 power '10' '-7' -> 1E-7
powx112 power '10' '-6' -> 0.000001
powx113 power '10' '-5' -> 0.00001
powx114 power '10' '-4' -> 0.0001
powx115 power '10' '-3' -> 0.001
powx116 power '10' '-2' -> 0.01
powx117 power '10' '-1' -> 0.1
powx118 power '10' '-333333333' -> 1E-333333333
powx119 power '10' '-999999998' -> 1E-999999998
powx120 power '10' '-999999999' -> 1E-999999999
powx121 power '10' '-77' -> '1E-77'
powx122 power '10' '-22' -> '1E-22'
powx123 power '2' '-1' -> '0.5'
powx124 power '2' '-2' -> '0.25'
powx125 power '2' '-4' -> '0.0625'
powx126 power '0' '-1' -> Infinity Division_by_zero
powx127 power '0' '-2' -> Infinity Division_by_zero
powx128 power -0 '-1' -> -Infinity Division_by_zero
powx129 power -0 '-2' -> Infinity Division_by_zero
-- out-of-range edge cases
powx181 power '7' '999999998' -> 2.10892313E+845098038 Inexact Rounded
powx182 power '7' '999999999' -> 1.47624619E+845098039 Inexact Rounded
powx183 power '7' '1000000000' -> NaN Invalid_operation
powx184 power '7' '1000000001' -> NaN Invalid_operation
powx185 power '7' '10000000000' -> NaN Invalid_operation
powx186 power '7' '-1000000001' -> NaN Invalid_operation
powx187 power '7' '-1000000000' -> NaN Invalid_operation
powx189 power '7' '-999999999' -> 6.77393787E-845098040 Inexact Rounded
powx190 power '7' '-999999998' -> 4.74175651E-845098039 Inexact Rounded
-- some baddies [more below]
powx191 power '2' '2.000001' -> NaN Invalid_operation
powx192 power '2' '2.00000000' -> 4
powx193 power '2' '2.000000001' -> NaN Invalid_operation
powx194 power '2' '2.0000000001' -> NaN Invalid_operation
-- "0.5" tests from original Rexx diagnostics [loop unrolled]
powx200 power 0.5 0 -> 1
powx201 power 0.5 1 -> 0.5
powx202 power 0.5 2 -> 0.25
powx203 power 0.5 3 -> 0.125
powx204 power 0.5 4 -> 0.0625
powx205 power 0.5 5 -> 0.03125
powx206 power 0.5 6 -> 0.015625
powx207 power 0.5 7 -> 0.0078125
powx208 power 0.5 8 -> 0.00390625
powx209 power 0.5 9 -> 0.001953125
powx210 power 0.5 10 -> 0.0009765625
-- A (rare) case where the last digit is not within 0.5 ULP
precision: 9
powx215 power "-21971575.0E+31454441" "-7" -> "-4.04549503E-220181139" Inexact Rounded
precision: 20
powx216 power "-21971575.0E+31454441" "-7" -> "-4.0454950249324891788E-220181139" Inexact Rounded
-- The Vienna case. Checks both setup and 1/acc working precision
-- Modified 1998.12.14 as RHS no longer rounded before use (must fit)
-- Modified 1990.02.04 as LHS is now rounded (instead of truncated to guard)
-- '123456789E+10' -- lhs .. rounded to 1.23E+18
-- '-1.23000e+2' -- rhs .. [was: -1.23455e+2, rounds to -123]
-- Modified 2002.10.06 -- finally, no input rounding
-- With input rounding, result would be 8.74E-2226
precision: 3
powx219 power '123456789E+10' '-1.23000e+2' -> '5.54E-2226' Inexact Rounded
-- whole number checks
precision: 9
powx221 power 1 1234 -> 1
precision: 4
powx222 power 1 1234 -> 1
precision: 3
powx223 power 1 1234 -> 1
powx224 power 1 12.34e+2 -> 1
powx225 power 1 12.3 -> NaN Invalid_operation
powx226 power 1 12.0 -> 1
powx227 power 1 1.01 -> NaN Invalid_operation
powx228 power 2 1.00 -> 2
powx229 power 2 2.00 -> 4
precision: 9
powx230 power 1 1.0001 -> NaN Invalid_operation
powx231 power 1 1.0000001 -> NaN Invalid_operation
powx232 power 1 1.0000000001 -> NaN Invalid_operation
powx233 power 1 1.0000000000001 -> NaN Invalid_operation
precision: 5
powx234 power 1 1.0001 -> NaN Invalid_operation
powx235 power 1 1.0000001 -> NaN Invalid_operation
powx236 power 1 1.0000000001 -> NaN Invalid_operation
powx237 power 1 1.0000000000001 -> NaN Invalid_operation
powx238 power 1 1.0000000000001 -> NaN Invalid_operation
maxexponent: 999999999
minexponent: -999999999
powx239 power 1 5.67E-987654321 -> NaN Invalid_operation
powx240 power 1 100000000 -> 1
powx241 power 1 999999998 -> 1
powx242 power 1 999999999 -> 1
powx243 power 1 1000000000 -> NaN Invalid_operation
powx244 power 1 9999999999 -> NaN Invalid_operation
-- Checks for 'Too much precision needed'
-- For x^12, digits+elength+1 = digits+3
precision: 999999999
powx249 add 1 1 -> 2 -- check basic operation at this precision
powx250 power 2 12 -> Infinity Overflow
precision: 999999998
powx251 power 2 12 -> Infinity Overflow
precision: 999999997
powx252 power 2 12 -> Infinity Overflow
precision: 999999996
powx253 power 2 12 -> 4096
precision: 999999995
powx254 power 2 12 -> 4096
-- zeros
maxexponent: +96
minexponent: -95
precision: 7
powx260 power 0E-34 3 -> 0E-101 Clamped
powx261 power 0E-33 3 -> 0E-99
powx262 power 0E-32 3 -> 0E-96
powx263 power 0E-30 3 -> 0E-90
powx264 power 0E-10 3 -> 0E-30
powx265 power 0E-1 3 -> 0.000
powx266 power 0E+0 3 -> 0
powx267 power 0 3 -> 0
powx268 power 0E+1 3 -> 0E+3
powx269 power 0E+10 3 -> 0E+30
powx270 power 0E+30 3 -> 0E+90
powx271 power 0E+32 3 -> 0E+96
powx272 power 0E+33 3 -> 0E+96 Clamped
-- overflow and underflow tests
maxexponent: 999999999
minexponent: -999999999
precision: 9
powx280 power 9 999999999 -> 3.05550054E+954242508 Inexact Rounded
powx281 power 10 999999999 -> 1.00000000E+999999999 Rounded
powx282 power 10.0001 999999999 -> Infinity Overflow Inexact Rounded
powx283 power 10.1 999999999 -> Infinity Overflow Inexact Rounded
powx284 power 11 999999999 -> Infinity Overflow Inexact Rounded
powx285 power 12 999999999 -> Infinity Overflow Inexact Rounded
powx286 power 999 999999999 -> Infinity Overflow Inexact Rounded
powx287 power 999999 999999999 -> Infinity Overflow Inexact Rounded
powx288 power 999999999 999999999 -> Infinity Overflow Inexact Rounded
powx289 power 9.9E999999999 999999999 -> Infinity Overflow Inexact Rounded
powx290 power 0.5 999999999 -> 4.33559594E-301029996 Inexact Rounded
powx291 power 0.1 999999999 -> 1E-999999999 -- unrounded
powx292 power 0.09 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx293 power 0.05 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx294 power 0.01 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx295 power 0.0001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx297 power 0.0000001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx298 power 0.0000000001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx299 power 1E-999999999 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx310 power -9 999999999 -> -3.05550054E+954242508 Inexact Rounded
powx311 power -10 999999999 -> -1.00000000E+999999999 Rounded
powx312 power -10.0001 999999999 -> -Infinity Overflow Inexact Rounded
powx313 power -10.1 999999999 -> -Infinity Overflow Inexact Rounded
powx314 power -11 999999999 -> -Infinity Overflow Inexact Rounded
powx315 power -12 999999999 -> -Infinity Overflow Inexact Rounded
powx316 power -999 999999999 -> -Infinity Overflow Inexact Rounded
powx317 power -999999 999999999 -> -Infinity Overflow Inexact Rounded
powx318 power -999999999 999999999 -> -Infinity Overflow Inexact Rounded
powx319 power -9.9E999999999 999999999 -> -Infinity Overflow Inexact Rounded
powx320 power -0.5 999999999 -> -4.33559594E-301029996 Inexact Rounded
powx321 power -0.1 999999999 -> -1E-999999999
powx322 power -0.09 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx323 power -0.05 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx324 power -0.01 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx325 power -0.0001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx327 power -0.0000001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx328 power -0.0000000001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx329 power -1E-999999999 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
-- note no trim of next result
powx330 power -9 999999998 -> 3.39500060E+954242507 Inexact Rounded
powx331 power -10 999999998 -> 1.00000000E+999999998 Rounded
powx332 power -10.0001 999999998 -> Infinity Overflow Inexact Rounded
powx333 power -10.1 999999998 -> Infinity Overflow Inexact Rounded
powx334 power -11 999999998 -> Infinity Overflow Inexact Rounded
powx335 power -12 999999998 -> Infinity Overflow Inexact Rounded
powx336 power -999 999999998 -> Infinity Overflow Inexact Rounded
powx337 power -999999 999999998 -> Infinity Overflow Inexact Rounded
powx338 power -999999999 999999998 -> Infinity Overflow Inexact Rounded
powx339 power -9.9E999999999 999999998 -> Infinity Overflow Inexact Rounded
powx340 power -0.5 999999998 -> 8.67119187E-301029996 Inexact Rounded
powx341 power -0.1 999999998 -> 1E-999999998 -- NB exact unrounded
powx342 power -0.09 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx343 power -0.05 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx344 power -0.01 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx345 power -0.0001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx347 power -0.0000001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx348 power -0.0000000001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx349 power -1E-999999999 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
-- some subnormals
precision: 9
-- [precision is 9, so smallest exponent is -1000000007
powx350 power 1e-1 500000000 -> 1E-500000000
powx351 power 1e-2 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx352 power 1e-2 500000000 -> 1E-1000000000 Subnormal
powx353 power 1e-2 500000001 -> 1E-1000000002 Subnormal
powx354 power 1e-2 500000002 -> 1E-1000000004 Subnormal
powx355 power 1e-2 500000003 -> 1E-1000000006 Subnormal
powx356 power 1e-2 500000004 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
powx360 power 0.010001 500000000 -> 4.34941988E-999978287 Inexact Rounded
powx361 power 0.010000001 500000000 -> 5.18469257E-999999979 Inexact Rounded
powx362 power 0.010000001 500000001 -> 5.18469309E-999999981 Inexact Rounded
powx363 power 0.0100000009 500000000 -> 3.49342003E-999999981 Inexact Rounded
powx364 power 0.0100000001 500000000 -> 1.48413155E-999999998 Inexact Rounded
powx365 power 0.01 500000000 -> 1E-1000000000 Subnormal
powx366 power 0.0099999999 500000000 -> 6.7379E-1000000003 Underflow Subnormal Inexact Rounded
powx367 power 0.0099999998 500000000 -> 4.54E-1000000005 Underflow Subnormal Inexact Rounded
powx368 power 0.0099999997 500000000 -> 3E-1000000007 Underflow Subnormal Inexact Rounded
powx369 power 0.0099999996 500000000 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
powx370 power 0.009 500000000 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
-- 1/subnormal -> overflow
powx371 power 1e-1 -500000000 -> 1E+500000000
powx372 power 1e-2 -999999999 -> Infinity Overflow Inexact Rounded
powx373 power 1e-2 -500000000 -> Infinity Overflow Inexact Rounded
powx374 power 1e-2 -500000001 -> Infinity Overflow Inexact Rounded
powx375 power 1e-2 -500000002 -> Infinity Overflow Inexact Rounded
powx376 power 1e-2 -500000003 -> Infinity Overflow Inexact Rounded
powx377 power 1e-2 -500000004 -> Infinity Overflow Inexact Rounded
powx381 power 0.010001 -500000000 -> 2.29915719E+999978286 Inexact Rounded
powx382 power 0.010000001 -500000000 -> 1.92875467E+999999978 Inexact Rounded
powx383 power 0.010000001 -500000001 -> 1.92875448E+999999980 Inexact Rounded
powx384 power 0.0100000009 -500000000 -> 2.86252438E+999999980 Inexact Rounded
powx385 power 0.0100000001 -500000000 -> 6.73794717E+999999997 Inexact Rounded
powx386 power 0.01 -500000000 -> Infinity Overflow Inexact Rounded
powx387 power 0.009999 -500000000 -> Infinity Overflow Inexact Rounded
-- negative power giving subnormal
powx388 power 100.000001 -500000000 -> 6.7379E-1000000003 Underflow Subnormal Inexact Rounded
-- some more edge cases
precision: 15
maxExponent: 999
minexponent: -999
powx391 power 0.1 999 -> 1E-999
powx392 power 0.099 999 -> 4.360732062E-1004 Underflow Subnormal Inexact Rounded
powx393 power 0.098 999 -> 1.71731E-1008 Underflow Subnormal Inexact Rounded
powx394 power 0.097 999 -> 6E-1013 Underflow Subnormal Inexact Rounded
powx395 power 0.096 999 -> 0E-1013 Underflow Subnormal Inexact Rounded
powx396 power 0.01 999 -> 0E-1013 Underflow Subnormal Inexact Rounded Clamped
-- multiply tests are here to aid checking and test for consistent handling
-- of underflow
precision: 5
maxexponent: 999
minexponent: -999
-- squares
mulx400 multiply 1E-502 1e-502 -> 0E-1003 Subnormal Inexact Underflow Rounded
mulx401 multiply 1E-501 1e-501 -> 1E-1002 Subnormal
mulx402 multiply 2E-501 2e-501 -> 4E-1002 Subnormal
mulx403 multiply 4E-501 4e-501 -> 1.6E-1001 Subnormal
mulx404 multiply 10E-501 10e-501 -> 1.00E-1000 Subnormal
mulx405 multiply 30E-501 30e-501 -> 9.00E-1000 Subnormal
mulx406 multiply 40E-501 40e-501 -> 1.600E-999
powx400 power 1E-502 2 -> 0E-1003 Underflow Subnormal Inexact Rounded
powx401 power 1E-501 2 -> 1E-1002 Subnormal
powx402 power 2E-501 2 -> 4E-1002 Subnormal
powx403 power 4E-501 2 -> 1.6E-1001 Subnormal
powx404 power 10E-501 2 -> 1.00E-1000 Subnormal
powx405 power 30E-501 2 -> 9.00E-1000 Subnormal
powx406 power 40E-501 2 -> 1.600E-999
-- cubes
mulx410 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded
mulx411 multiply 1E-668 1e-334 -> 1E-1002 Subnormal
mulx412 multiply 4E-668 2e-334 -> 8E-1002 Subnormal
mulx413 multiply 9E-668 3e-334 -> 2.7E-1001 Subnormal
mulx414 multiply 16E-668 4e-334 -> 6.4E-1001 Subnormal
mulx415 multiply 25E-668 5e-334 -> 1.25E-1000 Subnormal
mulx416 multiply 10E-668 100e-334 -> 1.000E-999
powx410 power 1E-335 3 -> 0E-1003 Underflow Subnormal Inexact Rounded
powx411 power 1E-334 3 -> 1E-1002 Subnormal
powx412 power 2E-334 3 -> 8E-1002 Subnormal
powx413 power 3E-334 3 -> 2.7E-1001 Subnormal
powx414 power 4E-334 3 -> 6.4E-1001 Subnormal
powx415 power 5E-334 3 -> 1.25E-1000 Subnormal
powx416 power 10E-334 3 -> 1.000E-999
-- negative powers, testing subnormals
precision: 5
maxExponent: 999
minexponent: -999
powx421 power 2.5E-501 -2 -> Infinity Overflow Inexact Rounded
powx422 power 2.5E-500 -2 -> 1.6E+999
powx423 power 2.5E+499 -2 -> 1.6E-999
powx424 power 2.5E+500 -2 -> 1.6E-1001 Subnormal
powx425 power 2.5E+501 -2 -> 2E-1003 Underflow Subnormal Inexact Rounded
powx426 power 2.5E+502 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded
powx427 power 0.25E+499 -2 -> 1.6E-997
powx428 power 0.25E+500 -2 -> 1.6E-999
powx429 power 0.25E+501 -2 -> 1.6E-1001 Subnormal
powx430 power 0.25E+502 -2 -> 2E-1003 Underflow Subnormal Inexact Rounded
powx431 power 0.25E+503 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded
powx432 power 0.04E+499 -2 -> 6.25E-996
powx433 power 0.04E+500 -2 -> 6.25E-998
powx434 power 0.04E+501 -2 -> 6.25E-1000 Subnormal
powx435 power 0.04E+502 -2 -> 6.3E-1002 Underflow Subnormal Inexact Rounded
powx436 power 0.04E+503 -2 -> 1E-1003 Underflow Subnormal Inexact Rounded
powx437 power 0.04E+504 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded
powx441 power 0.04E+334 -3 -> 1.5625E-998
powx442 power 0.04E+335 -3 -> 1.56E-1001 Underflow Subnormal Inexact Rounded
powx443 power 0.04E+336 -3 -> 0E-1003 Underflow Subnormal Inexact Rounded
powx444 power 0.25E+333 -3 -> 6.4E-998
powx445 power 0.25E+334 -3 -> 6.4E-1001 Subnormal
powx446 power 0.25E+335 -3 -> 1E-1003 Underflow Subnormal Inexact Rounded
powx447 power 0.25E+336 -3 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
-- check sign for cubes and a few squares
powx448 power -0.04E+334 -3 -> -1.5625E-998
powx449 power -0.04E+335 -3 -> -1.56E-1001 Underflow Subnormal Inexact Rounded
powx450 power -0.04E+336 -3 -> -0E-1003 Underflow Subnormal Inexact Rounded
powx451 power -0.25E+333 -3 -> -6.4E-998
powx452 power -0.25E+334 -3 -> -6.4E-1001 Subnormal
powx453 power -0.25E+335 -3 -> -1E-1003 Underflow Subnormal Inexact Rounded
powx454 power -0.25E+336 -3 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
powx455 power -0.04E+499 -2 -> 6.25E-996
powx456 power -0.04E+500 -2 -> 6.25E-998
powx457 power -0.04E+501 -2 -> 6.25E-1000 Subnormal
powx458 power -0.04E+502 -2 -> 6.3E-1002 Underflow Subnormal Inexact Rounded
-- test -0s
precision: 9
powx560 power 0 0 -> NaN Invalid_operation
powx561 power 0 -0 -> NaN Invalid_operation
powx562 power -0 0 -> NaN Invalid_operation
powx563 power -0 -0 -> NaN Invalid_operation
powx564 power 1 0 -> 1
powx565 power 1 -0 -> 1
powx566 power -1 0 -> 1
powx567 power -1 -0 -> 1
powx568 power 0 1 -> 0
powx569 power 0 -1 -> Infinity Division_by_zero
powx570 power -0 1 -> -0
powx571 power -0 -1 -> -Infinity Division_by_zero
powx572 power 0 2 -> 0
powx573 power 0 -2 -> Infinity Division_by_zero
powx574 power -0 2 -> 0
powx575 power -0 -2 -> Infinity Division_by_zero
powx576 power 0 3 -> 0
powx577 power 0 -3 -> Infinity Division_by_zero
powx578 power -0 3 -> -0
powx579 power -0 -3 -> -Infinity Division_by_zero
-- Specials
powx580 power Inf -Inf -> NaN Invalid_operation
powx581 power Inf -1000 -> 0
powx582 power Inf -1 -> 0
powx583 power Inf -0 -> 1
powx584 power Inf 0 -> 1
powx585 power Inf 1 -> Infinity
powx586 power Inf 1000 -> Infinity
powx587 power Inf Inf -> NaN Invalid_operation
powx588 power -1000 Inf -> NaN Invalid_operation
powx589 power -Inf Inf -> NaN Invalid_operation
powx590 power -1 Inf -> NaN Invalid_operation
powx591 power -0 Inf -> NaN Invalid_operation
powx592 power 0 Inf -> NaN Invalid_operation
powx593 power 1 Inf -> NaN Invalid_operation
powx594 power 1000 Inf -> NaN Invalid_operation
powx595 power Inf Inf -> NaN Invalid_operation
powx600 power -Inf -Inf -> NaN Invalid_operation
powx601 power -Inf -1000 -> 0
powx602 power -Inf -1 -> -0
powx603 power -Inf -0 -> 1
powx604 power -Inf 0 -> 1
powx605 power -Inf 1 -> -Infinity
powx606 power -Inf 1000 -> Infinity
powx607 power -Inf Inf -> NaN Invalid_operation
powx608 power -1000 Inf -> NaN Invalid_operation
powx609 power -Inf -Inf -> NaN Invalid_operation
powx610 power -1 -Inf -> NaN Invalid_operation
powx611 power -0 -Inf -> NaN Invalid_operation
powx612 power 0 -Inf -> NaN Invalid_operation
powx613 power 1 -Inf -> NaN Invalid_operation
powx614 power 1000 -Inf -> NaN Invalid_operation
powx615 power Inf -Inf -> NaN Invalid_operation
powx621 power NaN -Inf -> NaN Invalid_operation
powx622 power NaN -1000 -> NaN
powx623 power NaN -1 -> NaN
powx624 power NaN -0 -> NaN
powx625 power NaN 0 -> NaN
powx626 power NaN 1 -> NaN
powx627 power NaN 1000 -> NaN
powx628 power NaN Inf -> NaN Invalid_operation
powx629 power NaN NaN -> NaN
powx630 power -Inf NaN -> NaN
powx631 power -1000 NaN -> NaN
powx632 power -1 NaN -> NaN
powx633 power -0 NaN -> NaN
powx634 power 0 NaN -> NaN
powx635 power 1 NaN -> NaN
powx636 power 1000 NaN -> NaN
powx637 power Inf NaN -> NaN
powx641 power sNaN -Inf -> NaN Invalid_operation
powx642 power sNaN -1000 -> NaN Invalid_operation
powx643 power sNaN -1 -> NaN Invalid_operation
powx644 power sNaN -0 -> NaN Invalid_operation
powx645 power sNaN 0 -> NaN Invalid_operation
powx646 power sNaN 1 -> NaN Invalid_operation
powx647 power sNaN 1000 -> NaN Invalid_operation
powx648 power sNaN NaN -> NaN Invalid_operation
powx649 power sNaN sNaN -> NaN Invalid_operation
powx650 power NaN sNaN -> NaN Invalid_operation
powx651 power -Inf sNaN -> NaN Invalid_operation
powx652 power -1000 sNaN -> NaN Invalid_operation
powx653 power -1 sNaN -> NaN Invalid_operation
powx654 power -0 sNaN -> NaN Invalid_operation
powx655 power 0 sNaN -> NaN Invalid_operation
powx656 power 1 sNaN -> NaN Invalid_operation
powx657 power 1000 sNaN -> NaN Invalid_operation
powx658 power Inf sNaN -> NaN Invalid_operation
powx659 power NaN sNaN -> NaN Invalid_operation
-- NaN propagation
powx660 power NaN3 sNaN7 -> NaN7 Invalid_operation
powx661 power sNaN8 NaN6 -> NaN8 Invalid_operation
powx662 power 1 sNaN7 -> NaN7 Invalid_operation
powx663 power sNaN8 1 -> NaN8 Invalid_operation
powx664 power Inf sNaN7 -> NaN7 Invalid_operation
powx665 power sNaN8 Inf -> NaN Invalid_operation
powx666 power Inf NaN9 -> NaN9
powx667 power NaN6 Inf -> NaN Invalid_operation
powx668 power 1 NaN5 -> NaN5
powx669 power NaN2 1 -> NaN2
powx670 power NaN2 Nan4 -> NaN2
powx671 power NaN Nan4 -> NaN
powx672 power NaN345 Nan -> NaN345
powx673 power Inf -sNaN7 -> -NaN7 Invalid_operation
powx674 power -sNaN8 Inf -> NaN Invalid_operation
powx675 power Inf -NaN9 -> -NaN9
powx676 power -NaN6 Inf -> NaN Invalid_operation
powx677 power -NaN2 -Nan4 -> -NaN2
-- Examples from extended specification
powx690 power Inf -2 -> 0
powx691 power Inf -1 -> 0
powx692 power Inf 0 -> 1
powx693 power Inf 1 -> Infinity
powx694 power Inf 2 -> Infinity
powx695 power -Inf -2 -> 0
powx696 power -Inf -1 -> -0
powx697 power -Inf 0 -> 1
powx698 power -Inf 1 -> -Infinity
powx699 power -Inf 2 -> Infinity
powx700 power 0 0 -> NaN Invalid_operation
-- long operand and RHS range checks
maxexponent: 999
minexponent: -999
precision: 9
powx701 power 12345678000 1 -> 1.23456780E+10 Rounded
powx702 power 1234567800 1 -> 1.23456780E+9 Rounded
powx703 power 1234567890 1 -> 1.23456789E+9 Rounded
powx704 power 1234567891 1 -> 1.23456789E+9 Inexact Rounded
powx705 power 12345678901 1 -> 1.23456789E+10 Inexact Rounded
powx706 power 1234567896 1 -> 1.23456790E+9 Inexact Rounded
powx707 power 1 12345678000 -> NaN Invalid_operation
powx708 power 1 1234567800 -> NaN Invalid_operation
powx709 power 1 1234567890 -> NaN Invalid_operation
powx710 power 1 11234567891 -> NaN Invalid_operation
powx711 power 1 12345678901 -> NaN Invalid_operation
powx712 power 1 1234567896 -> NaN Invalid_operation
powx713 power 1 -1234567896 -> NaN Invalid_operation
powx714 power 1 1000000000 -> NaN Invalid_operation
powx715 power 1 -1000000000 -> NaN Invalid_operation
precision: 15
-- still checking
powx741 power 12345678000 1 -> 12345678000
powx742 power 1234567800 1 -> 1234567800
powx743 power 1234567890 1 -> 1234567890
powx744 power 1234567891 1 -> 1234567891
powx745 power 12345678901 1 -> 12345678901
powx746 power 1234567896 1 -> 1234567896
powx747 power 1 12345678000 -> NaN Invalid_operation
powx748 power 1 -1234567896 -> NaN Invalid_operation
powx749 power 1 1000000000 -> NaN Invalid_operation
powx740 power 1 -1000000000 -> NaN Invalid_operation
-- check for double-rounded subnormals
precision: 5
maxexponent: 79
minexponent: -79
powx750 power 1.2347E-40 2 -> 1.524E-80 Inexact Rounded Subnormal Underflow
-- Null tests
powx900 power 1 # -> NaN Invalid_operation
powx901 power # 1 -> NaN Invalid_operation