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cpython/Lib/test/decimaltestdata/power.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
------------------------------------------------------------------------
-- power.decTest -- decimal exponentiation [power(x, y)] --
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, 1981, 2008. All rights reserved. --
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -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 --
------------------------------------------------------------------------
Update decimal test data to the most recent set from Mike Cowlishaw.
2009-10-08 13:28:39 -03:00
version: 2.59
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
-- In addition to the power operator testcases here, see also the file
-- powersqrt.decTest which includes all the tests from
-- squareroot.decTest implemented using power(x, 0.5)
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
extended: 1
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
precision: 16
rounding: half_even
maxExponent: 384
minExponent: -383
Move Decimal from the sandbox into production.
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-- 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'
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
powx025 power '2' '31' -> '2147483648'
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- NB 0 not stripped in next
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
powx026 power '2' '32' -> '4294967296'
precision: 9
powx027 power '2' '31' -> '2.14748365E+9' Inexact Rounded
-- NB 0 not stripped in next
powx028 power '2' '32' -> '4.29496730E+9' Inexact Rounded
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
precision: 10
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
powx029 power '2' '31' -> '2147483648'
powx030 power '2' '32' -> '4294967296'
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
precision: 9
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
powx031 power '3' '2' -> 9
powx032 power '4' '2' -> 16
powx033 power '5' '2' -> 25
powx034 power '6' '2' -> 36
powx035 power '7' '2' -> 49
powx036 power '8' '2' -> 64
powx037 power '9' '2' -> 81
powx038 power '10' '2' -> 100
powx039 power '11' '2' -> 121
powx040 power '12' '2' -> 144
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
powx041 power '3' '3' -> 27
powx042 power '4' '3' -> 64
powx043 power '5' '3' -> 125
powx044 power '6' '3' -> 216
powx045 power '7' '3' -> 343
powx047 power '-3' '3' -> -27
powx048 power '-4' '3' -> -64
powx049 power '-5' '3' -> -125
powx050 power '-6' '3' -> -216
powx051 power '-7' '3' -> -343
powx052 power '10' '0' -> 1
powx053 power '10' '1' -> 10
powx054 power '10' '2' -> 100
powx055 power '10' '3' -> 1000
powx056 power '10' '4' -> 10000
powx057 power '10' '5' -> 100000
powx058 power '10' '6' -> 1000000
powx059 power '10' '7' -> 10000000
powx060 power '10' '8' -> 100000000
powx061 power '10' '9' -> 1.00000000E+9 Rounded
powx062 power '10' '22' -> 1.00000000E+22 Rounded
powx063 power '10' '77' -> 1.00000000E+77 Rounded
powx064 power '10' '99' -> 1.00000000E+99 Rounded
Move Decimal from the sandbox into production.
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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
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
powx099 power '1' '-1' -> 1
powx100 power '3' '-1' -> 0.333333333 Inexact Rounded
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
powx121 power '10' '-77' -> '1E-77'
powx122 power '10' '-22' -> '1E-22'
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
powx123 power '2' '-1' -> '0.5'
powx124 power '2' '-2' -> '0.25'
powx125 power '2' '-4' -> '0.0625'
powx126 power '0' '-1' -> Infinity
powx127 power '0' '-2' -> Infinity
powx128 power -0 '-1' -> -Infinity
powx129 power -0 '-2' -> Infinity
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- "0.5" tests from original Rexx diagnostics [loop unrolled]
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
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
powx211 power 1 100000000 -> 1
powx212 power 1 999999998 -> 1
powx213 power 1 999999999 -> 1
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- 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
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
maxexponent: 5000
minexponent: -5000
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx219 power '123456789E+10' '-1.23000e+2' -> '5.54E-2226' Inexact Rounded
-- zeros
maxexponent: +96
minexponent: -95
precision: 7
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
powx223 power 0E-30 3 -> 0
powx224 power 0E-10 3 -> 0
powx225 power 0E-1 3 -> 0
powx226 power 0E+0 3 -> 0
powx227 power 0 3 -> 0
powx228 power 0E+1 3 -> 0
powx229 power 0E+10 3 -> 0
powx230 power 0E+30 3 -> 0
powx231 power 3 0E-30 -> 1
powx232 power 3 0E-10 -> 1
powx233 power 3 0E-1 -> 1
powx234 power 3 0E+0 -> 1
powx235 power 3 0 -> 1
powx236 power 3 0E+1 -> 1
powx237 power 3 0E+10 -> 1
powx238 power 3 0E+30 -> 1
powx239 power 0E-30 -3 -> Infinity
powx240 power 0E-10 -3 -> Infinity
powx241 power 0E-1 -3 -> Infinity
powx242 power 0E+0 -3 -> Infinity
powx243 power 0 -3 -> Infinity
powx244 power 0E+1 -3 -> Infinity
powx245 power 0E+10 -3 -> Infinity
powx246 power 0E+30 -3 -> Infinity
powx247 power -3 0E-30 -> 1
powx248 power -3 0E-10 -> 1
powx249 power -3 0E-1 -> 1
powx250 power -3 0E+0 -> 1
powx251 power -3 0 -> 1
powx252 power -3 0E+1 -> 1
powx253 power -3 0E+10 -> 1
powx254 power -3 0E+30 -> 1
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
-- a few lhs negatives
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
precision: 9
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
maxExponent: 999
minexponent: -999
powx260 power -10 '0' -> 1
powx261 power -10 '1' -> -10
powx262 power -10 '2' -> 100
powx263 power -10 '3' -> -1000
powx264 power -10 '4' -> 10000
powx265 power -10 '5' -> -100000
powx266 power -10 '6' -> 1000000
powx267 power -10 '7' -> -10000000
powx268 power -10 '8' -> 100000000
powx269 power -10 '9' -> -1.00000000E+9 Rounded
powx270 power -10 '22' -> 1.00000000E+22 Rounded
powx271 power -10 '77' -> -1.00000000E+77 Rounded
powx272 power -10 '99' -> -1.00000000E+99 Rounded
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- 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
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
powx395 power 0.096 999 -> 0E-1013 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx396 power 0.01 999 -> 0E-1013 Underflow Subnormal Inexact Rounded Clamped
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
powx397 power 0.02 100000000 -> 0E-1013 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- multiply tests are here to aid checking and test for consistent handling
-- of underflow
precision: 5
maxexponent: 999
minexponent: -999
-- squares
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
mulx400 multiply 1E-502 1e-502 -> 0E-1003 Subnormal Inexact Underflow Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
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
powx400 power 1E-502 2 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
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
mulx410 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
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
powx410 power 1E-335 3 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
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
powx426 power 2.5E+502 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
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
powx431 power 0.25E+503 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
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
powx435 power 0.04E+502 -2 -> 6.2E-1002 Underflow Subnormal Inexact Rounded
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx436 power 0.04E+503 -2 -> 1E-1003 Underflow Subnormal Inexact Rounded
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
powx437 power 0.04E+504 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx441 power 0.04E+334 -3 -> 1.5625E-998
powx442 power 0.04E+335 -3 -> 1.56E-1001 Underflow Subnormal Inexact Rounded
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
powx443 power 0.04E+336 -3 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
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
powx450 power -0.04E+336 -3 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
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
powx458 power -0.04E+502 -2 -> 6.2E-1002 Underflow Subnormal Inexact Rounded
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- 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
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
powx569 power 0 -1 -> Infinity
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx570 power -0 1 -> -0
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
powx571 power -0 -1 -> -Infinity
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx572 power 0 2 -> 0
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
powx573 power 0 -2 -> Infinity
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx574 power -0 2 -> 0
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
powx575 power -0 -2 -> Infinity
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx576 power 0 3 -> 0
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
powx577 power 0 -3 -> Infinity
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx578 power -0 3 -> -0
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
powx579 power -0 -3 -> -Infinity
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- Specials
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
powx580 power Inf -Inf -> 0
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx581 power Inf -1000 -> 0
powx582 power Inf -1 -> 0
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
powx583 power Inf -0.5 -> 0
powx584 power Inf -0 -> 1
powx585 power Inf 0 -> 1
powx586 power Inf 0.5 -> Infinity
powx587 power Inf 1 -> Infinity
powx588 power Inf 1000 -> Infinity
powx589 power Inf Inf -> Infinity
powx590 power -1000 Inf -> NaN Invalid_operation
powx591 power -Inf Inf -> NaN Invalid_operation
powx592 power -1 Inf -> NaN Invalid_operation
powx593 power -0.5 Inf -> NaN Invalid_operation
powx594 power -0 Inf -> 0
powx595 power 0 Inf -> 0
powx596 power 0.5 Inf -> 0
powx597 power 1 Inf -> 1.00000000 Inexact Rounded
powx598 power 1000 Inf -> Infinity
powx599 power Inf Inf -> Infinity
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx600 power -Inf -Inf -> NaN Invalid_operation
powx601 power -Inf -1000 -> 0
powx602 power -Inf -1 -> -0
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
powx603 power -Inf -0.5 -> NaN Invalid_operation
powx604 power -Inf -0 -> 1
powx605 power -Inf 0 -> 1
powx606 power -Inf 0.5 -> NaN Invalid_operation
powx607 power -Inf 1 -> -Infinity
powx608 power -Inf 1000 -> Infinity
powx609 power -Inf Inf -> NaN Invalid_operation
powx610 power -1000 Inf -> NaN Invalid_operation
powx611 power -Inf -Inf -> NaN Invalid_operation
powx612 power -1 -Inf -> NaN Invalid_operation
powx613 power -0.5 -Inf -> NaN Invalid_operation
powx614 power -0 -Inf -> Infinity
powx615 power 0 -Inf -> Infinity
powx616 power 0.5 -Inf -> Infinity
powx617 power 1 -Inf -> 1.00000000 Inexact Rounded
powx618 power 1000 -Inf -> 0
powx619 power Inf -Inf -> 0
powx621 power NaN -Inf -> NaN
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx622 power NaN -1000 -> NaN
powx623 power NaN -1 -> NaN
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
powx624 power NaN -0.5 -> NaN
powx625 power NaN -0 -> NaN
powx626 power NaN 0 -> NaN
powx627 power NaN 0.5 -> NaN
powx628 power NaN 1 -> NaN
powx629 power NaN 1000 -> NaN
powx630 power NaN Inf -> NaN
powx631 power NaN NaN -> NaN
powx632 power -Inf NaN -> NaN
powx633 power -1000 NaN -> NaN
powx634 power -1 NaN -> NaN
powx635 power -0 NaN -> NaN
powx636 power 0 NaN -> NaN
powx637 power 1 NaN -> NaN
powx638 power 1000 NaN -> NaN
powx639 power Inf NaN -> NaN
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
powx641 power sNaN -Inf -> NaN Invalid_operation
powx642 power sNaN -1000 -> NaN Invalid_operation
powx643 power sNaN -1 -> NaN Invalid_operation
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
powx644 power sNaN -0.5 -> NaN Invalid_operation
powx645 power sNaN -0 -> NaN Invalid_operation
powx646 power sNaN 0 -> NaN Invalid_operation
powx647 power sNaN 0.5 -> NaN Invalid_operation
powx648 power sNaN 1 -> NaN Invalid_operation
powx649 power sNaN 1000 -> NaN Invalid_operation
powx650 power sNaN NaN -> NaN Invalid_operation
powx651 power sNaN sNaN -> NaN Invalid_operation
powx652 power NaN sNaN -> NaN Invalid_operation
powx653 power -Inf sNaN -> NaN Invalid_operation
powx654 power -1000 sNaN -> NaN Invalid_operation
powx655 power -1 sNaN -> NaN Invalid_operation
powx656 power -0.5 sNaN -> NaN Invalid_operation
powx657 power -0 sNaN -> NaN Invalid_operation
powx658 power 0 sNaN -> NaN Invalid_operation
powx659 power 0.5 sNaN -> NaN Invalid_operation
powx660 power 1 sNaN -> NaN Invalid_operation
powx661 power 1000 sNaN -> NaN Invalid_operation
powx662 power Inf sNaN -> NaN Invalid_operation
powx663 power NaN sNaN -> NaN Invalid_operation
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- NaN propagation
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
powx670 power NaN3 sNaN7 -> NaN7 Invalid_operation
powx671 power sNaN8 NaN6 -> NaN8 Invalid_operation
powx672 power 1 sNaN7 -> NaN7 Invalid_operation
powx673 power sNaN8 1 -> NaN8 Invalid_operation
powx674 power Inf sNaN7 -> NaN7 Invalid_operation
powx675 power sNaN8 Inf -> NaN8 Invalid_operation
powx676 power Inf NaN9 -> NaN9
powx677 power NaN6 Inf -> NaN6
powx678 power 1 NaN5 -> NaN5
powx679 power NaN2 1 -> NaN2
powx680 power NaN2 Nan4 -> NaN2
powx681 power NaN Nan4 -> NaN
powx682 power NaN345 Nan -> NaN345
powx683 power Inf -sNaN7 -> -NaN7 Invalid_operation
powx684 power -sNaN8 Inf -> -NaN8 Invalid_operation
powx685 power Inf -NaN9 -> -NaN9
powx686 power -NaN6 Inf -> -NaN6
powx687 power -NaN2 -Nan4 -> -NaN2
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
-- 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
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
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
maxexponent: 999999
minexponent: -999999
precision: 9
-- near out-of-range edge cases
powx163 power '10' '999999' -> '1.00000000E+999999' Rounded
powx164 power '10' '999998' -> '1.00000000E+999998' Rounded
powx165 power '10' '999997' -> '1.00000000E+999997' Rounded
powx166 power '10' '333333' -> '1.00000000E+333333' Rounded
powx183 power '7' '1000000' -> 1.09651419E+845098 Inexact Rounded
powx184 power '7' '1000001' -> 7.67559934E+845098 Inexact Rounded
powx186 power '7' '-1000001' -> 1.30282986E-845099 Inexact Rounded
powx187 power '7' '-1000000' -> 9.11980901E-845099 Inexact Rounded
powx118 power '10' '-333333' -> 1E-333333
powx119 power '10' '-999998' -> 1E-999998
powx120 power '10' '-999999' -> 1E-999999
powx181 power '7' '999998' -> 2.23778406E+845096 Inexact Rounded
powx182 power '7' '999999' -> 1.56644884E+845097 Inexact Rounded
powx189 power '7' '-999999' -> 6.38386631E-845098 Inexact Rounded
powx190 power '7' '-999998' -> 4.46870641E-845097 Inexact Rounded
-- overflow and underflow tests
precision: 9
powx277 power 9 999999 -> 3.59084629E+954241 Inexact Rounded
powx278 power 9.99999999 999999 -> 9.99000501E+999998 Inexact Rounded
powx279 power 10 999999 -> 1.00000000E+999999 Rounded
powx280 power 10.0000001 999999 -> 1.01005016E+999999 Inexact Rounded
powx281 power 10.000001 999999 -> 1.10517080E+999999 Inexact Rounded
powx282 power 10.00001 999999 -> 2.71827775E+999999 Inexact Rounded
powx283 power 10.0001 999999 -> Infinity Overflow Inexact Rounded
powx285 power 11 999999 -> Infinity Overflow Inexact Rounded
powx286 power 12 999999 -> Infinity Overflow Inexact Rounded
powx287 power 999 999999 -> Infinity Overflow Inexact Rounded
powx288 power 999999999 999999 -> Infinity Overflow Inexact Rounded
powx289 power 9.9E999999999 999999 -> Infinity Overflow Inexact Rounded
powx290 power 0.5 999999 -> 2.02006812E-301030 Inexact Rounded
powx291 power 0.1 999999 -> 1E-999999 -- unrounded
powx292 power 0.09 999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx293 power 0.05 999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx294 power 0.01 999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx295 power 0.0001 999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx297 power 0.0000001 999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx298 power 0.0000000001 999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx299 power 1E-999999999 999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx310 power -9 999999 -> -3.59084629E+954241 Inexact Rounded
powx311 power -10 999999 -> -1.00000000E+999999 Rounded
powx312 power -10.0001 999999 -> -Infinity Overflow Inexact Rounded
powx313 power -10.1 999999 -> -Infinity Overflow Inexact Rounded
powx314 power -11 999999 -> -Infinity Overflow Inexact Rounded
powx315 power -12 999999 -> -Infinity Overflow Inexact Rounded
powx316 power -999 999999 -> -Infinity Overflow Inexact Rounded
powx317 power -999999 999999 -> -Infinity Overflow Inexact Rounded
powx318 power -999999999 999999 -> -Infinity Overflow Inexact Rounded
powx319 power -9.9E999999999 999999 -> -Infinity Overflow Inexact Rounded
powx320 power -0.5 999999 -> -2.02006812E-301030 Inexact Rounded
powx321 power -0.1 999999 -> -1E-999999
powx322 power -0.09 999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx323 power -0.05 999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx324 power -0.01 999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx325 power -0.0001 999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx327 power -0.0000001 999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx328 power -0.0000000001 999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx329 power -1E-999999999 999999 -> -0E-1000007 Underflow Subnormal Inexact Rounded Clamped
-- note no trim of next result
powx330 power -9 999998 -> 3.98982921E+954240 Inexact Rounded
powx331 power -10 999998 -> 1.00000000E+999998 Rounded
powx332 power -10.0001 999998 -> Infinity Overflow Inexact Rounded
powx333 power -10.1 999998 -> Infinity Overflow Inexact Rounded
powx334 power -11 999998 -> Infinity Overflow Inexact Rounded
powx335 power -12 999998 -> Infinity Overflow Inexact Rounded
powx336 power -999 999998 -> Infinity Overflow Inexact Rounded
powx337 power -999999 999998 -> Infinity Overflow Inexact Rounded
powx338 power -999999999 999998 -> Infinity Overflow Inexact Rounded
powx339 power -9.9E999999999 999998 -> Infinity Overflow Inexact Rounded
powx340 power -0.5 999998 -> 4.04013624E-301030 Inexact Rounded
powx341 power -0.1 999998 -> 1E-999998 -- NB exact unrounded
powx342 power -0.09 999998 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx343 power -0.05 999998 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx344 power -0.01 999998 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx345 power -0.0001 999998 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx347 power -0.0000001 999998 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx348 power -0.0000000001 999998 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx349 power -1E-999999999 999998 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
-- some subnormals
precision: 9
-- [precision is 9, so smallest exponent is -1000000007
powx350 power 1e-1 500000 -> 1E-500000
powx351 power 1e-2 999999 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx352 power 1e-2 500000 -> 1E-1000000 Subnormal
powx353 power 1e-2 500001 -> 1E-1000002 Subnormal
powx354 power 1e-2 500002 -> 1E-1000004 Subnormal
powx355 power 1e-2 500003 -> 1E-1000006 Subnormal
powx356 power 1e-2 500004 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
powx360 power 0.010001 500000 -> 5.17176082E-999979 Inexact Rounded
powx361 power 0.010000001 500000 -> 1.0512711E-1000000 Underflow Subnormal Inexact Rounded
powx362 power 0.010000001 500001 -> 1.05127E-1000002 Underflow Subnormal Inexact Rounded
powx363 power 0.0100000009 500000 -> 1.0460279E-1000000 Underflow Subnormal Inexact Rounded
powx364 power 0.0100000001 500000 -> 1.0050125E-1000000 Underflow Subnormal Inexact Rounded
powx365 power 0.01 500000 -> 1E-1000000 Subnormal
powx366 power 0.0099999999 500000 -> 9.950125E-1000001 Underflow Subnormal Inexact Rounded
powx367 power 0.0099999998 500000 -> 9.900498E-1000001 Underflow Subnormal Inexact Rounded
powx368 power 0.0099999997 500000 -> 9.851119E-1000001 Underflow Subnormal Inexact Rounded
powx369 power 0.0099999996 500000 -> 9.801987E-1000001 Underflow Subnormal Inexact Rounded
powx370 power 0.009 500000 -> 0E-1000007 Underflow Subnormal Inexact Rounded Clamped
-- 1/subnormal -> overflow
powx371 power 1e-1 -500000 -> 1E+500000
powx372 power 1e-2 -999999 -> Infinity Overflow Inexact Rounded
powx373 power 1e-2 -500000 -> Infinity Overflow Inexact Rounded
powx374 power 1e-2 -500001 -> Infinity Overflow Inexact Rounded
powx375 power 1e-2 -500002 -> Infinity Overflow Inexact Rounded
powx376 power 1e-2 -500003 -> Infinity Overflow Inexact Rounded
powx377 power 1e-2 -500004 -> Infinity Overflow Inexact Rounded
powx381 power 0.010001 -500000 -> 1.93357743E+999978 Inexact Rounded
powx382 power 0.010000001 -500000 -> 9.51229427E+999999 Inexact Rounded
powx383 power 0.010000001 -500001 -> Infinity Overflow Inexact Rounded
powx384 power 0.0100000009 -500000 -> 9.55997484E+999999 Inexact Rounded
powx385 power 0.0100000001 -500000 -> 9.95012479E+999999 Inexact Rounded
powx386 power 0.01 -500000 -> Infinity Overflow Inexact Rounded
powx387 power 0.009999 -500000 -> Infinity Overflow Inexact Rounded
-- negative power giving subnormal
powx388 power 100.000001 -500000 -> 9.950125E-1000001 Underflow Subnormal Inexact Rounded
-- test some 'false integer' boundaries
precision: 16
rounding: half_even
maxExponent: 384
minExponent: -383
powx501 power 100 1E+1 -> 1.000000000000000E+20 Rounded
powx502 power 100 1E+2 -> 1.000000000000000E+200 Rounded
powx503 power 100 1E+3 -> Infinity Overflow Inexact Rounded
powx504 power 100 1E+4 -> Infinity Overflow Inexact Rounded
powx505 power 100 1E+5 -> Infinity Overflow Inexact Rounded
powx506 power 100 1E+6 -> Infinity Overflow Inexact Rounded
powx507 power 100 1E+7 -> Infinity Overflow Inexact Rounded
powx508 power 100 1E+8 -> Infinity Overflow Inexact Rounded
powx509 power 100 1E+9 -> Infinity Overflow Inexact Rounded
powx510 power 100 1E+10 -> Infinity Overflow Inexact Rounded
powx511 power 100 1E+11 -> Infinity Overflow Inexact Rounded
powx512 power 100 1E+12 -> Infinity Overflow Inexact Rounded
powx513 power 100 1E+13 -> Infinity Overflow Inexact Rounded
powx514 power 100 1E+14 -> Infinity Overflow Inexact Rounded
powx515 power 100 1E+15 -> Infinity Overflow Inexact Rounded
powx516 power 100 1E+16 -> Infinity Overflow Inexact Rounded
powx517 power 100 1E+17 -> Infinity Overflow Inexact Rounded
powx518 power 100 1E+18 -> Infinity Overflow Inexact Rounded
powx519 power 100 1E+19 -> Infinity Overflow Inexact Rounded
powx520 power 100 1E+20 -> Infinity Overflow Inexact Rounded
powx521 power 100 1E+21 -> Infinity Overflow Inexact Rounded
powx522 power 100 1E+22 -> Infinity Overflow Inexact Rounded
powx523 power 100 1E+23 -> Infinity Overflow Inexact Rounded
powx524 power 100 1E+24 -> Infinity Overflow Inexact Rounded
powx525 power 100 1E+25 -> Infinity Overflow Inexact Rounded
powx526 power 100 1E+26 -> Infinity Overflow Inexact Rounded
powx527 power 100 1E+27 -> Infinity Overflow Inexact Rounded
powx528 power 100 1E+28 -> Infinity Overflow Inexact Rounded
powx529 power 100 1E+29 -> Infinity Overflow Inexact Rounded
powx530 power 100 1E+30 -> Infinity Overflow Inexact Rounded
powx531 power 100 1E+40 -> Infinity Overflow Inexact Rounded
powx532 power 100 1E+50 -> Infinity Overflow Inexact Rounded
powx533 power 100 1E+100 -> Infinity Overflow Inexact Rounded
powx534 power 100 1E+383 -> Infinity Overflow Inexact Rounded
-- a check for double-rounded subnormals
Move Decimal from the sandbox into production.
2004-07-01 08:01:35 -03:00
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
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
----------------------------------------------------------------------
-- Below here are tests with a precision or context outside of the --
-- decNumber 'mathematical functions' restricted range. These --
-- remain supported in decNumber to minimize breakage, but may be --
-- outside the range of other implementations. --
----------------------------------------------------------------------
maxexponent: 999999999
minexponent: -999999999
precision: 9
powx1063 power '10' '999999999' -> '1.00000000E+999999999' Rounded
powx1064 power '10' '999999998' -> '1.00000000E+999999998' Rounded
powx1065 power '10' '999999997' -> '1.00000000E+999999997' Rounded
powx1066 power '10' '333333333' -> '1.00000000E+333333333' Rounded
-- next two are integer-out-of range
powx1183 power '7' '1000000000' -> NaN Invalid_context
powx1184 power '7' '1000000001' -> NaN Invalid_context
powx1186 power '7' '-1000000001' -> 1.38243630E-845098041 Inexact Rounded
powx1187 power '7' '-1000000000' -> 9.67705411E-845098041 Inexact Rounded
-- out-of-range edge cases
powx1118 power '10' '-333333333' -> 1E-333333333
powx1119 power '10' '-999999998' -> 1E-999999998
powx1120 power '10' '-999999999' -> 1E-999999999
powx1181 power '7' '999999998' -> 2.10892313E+845098038 Inexact Rounded
powx1182 power '7' '999999999' -> 1.47624619E+845098039 Inexact Rounded
powx1189 power '7' '-999999999' -> 6.77393787E-845098040 Inexact Rounded
powx1190 power '7' '-999999998' -> 4.74175651E-845098039 Inexact Rounded
-- A (rare) case where the last digit is not within 0.5 ULP with classic precision
precision: 9
powx1215 power "-21971575.0E+31454441" "-7" -> "-4.04549502E-220181139" Inexact Rounded
precision: 20
powx1216 power "-21971575.0E+31454441" "-7" -> "-4.0454950249324891788E-220181139" Inexact Rounded
-- overflow and underflow tests
precision: 9
powx1280 power 9 999999999 -> 3.05550054E+954242508 Inexact Rounded
powx1281 power 10 999999999 -> 1.00000000E+999999999 Rounded
powx1282 power 10.0001 999999999 -> Infinity Overflow Inexact Rounded
powx1283 power 10.1 999999999 -> Infinity Overflow Inexact Rounded
powx1284 power 11 999999999 -> Infinity Overflow Inexact Rounded
powx1285 power 12 999999999 -> Infinity Overflow Inexact Rounded
powx1286 power 999 999999999 -> Infinity Overflow Inexact Rounded
powx1287 power 999999 999999999 -> Infinity Overflow Inexact Rounded
powx1288 power 999999999 999999999 -> Infinity Overflow Inexact Rounded
powx1289 power 9.9E999999999 999999999 -> Infinity Overflow Inexact Rounded
powx1290 power 0.5 999999999 -> 4.33559594E-301029996 Inexact Rounded
powx1291 power 0.1 999999999 -> 1E-999999999 -- unrounded
powx1292 power 0.09 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1293 power 0.05 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1294 power 0.01 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1295 power 0.0001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1297 power 0.0000001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1298 power 0.0000000001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1299 power 1E-999999999 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1310 power -9 999999999 -> -3.05550054E+954242508 Inexact Rounded
powx1311 power -10 999999999 -> -1.00000000E+999999999 Rounded
powx1312 power -10.0001 999999999 -> -Infinity Overflow Inexact Rounded
powx1313 power -10.1 999999999 -> -Infinity Overflow Inexact Rounded
powx1314 power -11 999999999 -> -Infinity Overflow Inexact Rounded
powx1315 power -12 999999999 -> -Infinity Overflow Inexact Rounded
powx1316 power -999 999999999 -> -Infinity Overflow Inexact Rounded
powx1317 power -999999 999999999 -> -Infinity Overflow Inexact Rounded
powx1318 power -999999999 999999999 -> -Infinity Overflow Inexact Rounded
powx1319 power -9.9E999999999 999999999 -> -Infinity Overflow Inexact Rounded
powx1320 power -0.5 999999999 -> -4.33559594E-301029996 Inexact Rounded
powx1321 power -0.1 999999999 -> -1E-999999999
powx1322 power -0.09 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1323 power -0.05 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1324 power -0.01 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1325 power -0.0001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1327 power -0.0000001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1328 power -0.0000000001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1329 power -1E-999999999 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
-- note no trim of next result
powx1330 power -9 999999998 -> 3.39500060E+954242507 Inexact Rounded
powx1331 power -10 999999998 -> 1.00000000E+999999998 Rounded
powx1332 power -10.0001 999999998 -> Infinity Overflow Inexact Rounded
powx1333 power -10.1 999999998 -> Infinity Overflow Inexact Rounded
powx1334 power -11 999999998 -> Infinity Overflow Inexact Rounded
powx1335 power -12 999999998 -> Infinity Overflow Inexact Rounded
powx1336 power -999 999999998 -> Infinity Overflow Inexact Rounded
powx1337 power -999999 999999998 -> Infinity Overflow Inexact Rounded
powx1338 power -999999999 999999998 -> Infinity Overflow Inexact Rounded
powx1339 power -9.9E999999999 999999998 -> Infinity Overflow Inexact Rounded
powx1340 power -0.5 999999998 -> 8.67119187E-301029996 Inexact Rounded
powx1341 power -0.1 999999998 -> 1E-999999998 -- NB exact unrounded
powx1342 power -0.09 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1343 power -0.05 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1344 power -0.01 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1345 power -0.0001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1347 power -0.0000001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1348 power -0.0000000001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1349 power -1E-999999999 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
-- some subnormals
precision: 9
-- [precision is 9, so smallest exponent is -1000000007
powx1350 power 1e-1 500000000 -> 1E-500000000
powx1351 power 1e-2 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1352 power 1e-2 500000000 -> 1E-1000000000 Subnormal
powx1353 power 1e-2 500000001 -> 1E-1000000002 Subnormal
powx1354 power 1e-2 500000002 -> 1E-1000000004 Subnormal
powx1355 power 1e-2 500000003 -> 1E-1000000006 Subnormal
powx1356 power 1e-2 500000004 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1360 power 0.010001 500000000 -> 4.34941988E-999978287 Inexact Rounded
powx1361 power 0.010000001 500000000 -> 5.18469257E-999999979 Inexact Rounded
powx1362 power 0.010000001 500000001 -> 5.18469309E-999999981 Inexact Rounded
powx1363 power 0.0100000009 500000000 -> 3.49342003E-999999981 Inexact Rounded
powx1364 power 0.0100000001 500000000 -> 1.48413155E-999999998 Inexact Rounded
powx1365 power 0.01 500000000 -> 1E-1000000000 Subnormal
powx1366 power 0.0099999999 500000000 -> 6.7379E-1000000003 Underflow Subnormal Inexact Rounded
powx1367 power 0.0099999998 500000000 -> 4.54E-1000000005 Underflow Subnormal Inexact Rounded
powx1368 power 0.0099999997 500000000 -> 3E-1000000007 Underflow Subnormal Inexact Rounded
powx1369 power 0.0099999996 500000000 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
powx1370 power 0.009 500000000 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
-- 1/subnormal -> overflow
powx1371 power 1e-1 -500000000 -> 1E+500000000
powx1372 power 1e-2 -999999999 -> Infinity Overflow Inexact Rounded
powx1373 power 1e-2 -500000000 -> Infinity Overflow Inexact Rounded
powx1374 power 1e-2 -500000001 -> Infinity Overflow Inexact Rounded
powx1375 power 1e-2 -500000002 -> Infinity Overflow Inexact Rounded
powx1376 power 1e-2 -500000003 -> Infinity Overflow Inexact Rounded
powx1377 power 1e-2 -500000004 -> Infinity Overflow Inexact Rounded
powx1381 power 0.010001 -500000000 -> 2.29915719E+999978286 Inexact Rounded
powx1382 power 0.010000001 -500000000 -> 1.92875467E+999999978 Inexact Rounded
powx1383 power 0.010000001 -500000001 -> 1.92875448E+999999980 Inexact Rounded
powx1384 power 0.0100000009 -500000000 -> 2.86252438E+999999980 Inexact Rounded
powx1385 power 0.0100000001 -500000000 -> 6.73794717E+999999997 Inexact Rounded
powx1386 power 0.01 -500000000 -> Infinity Overflow Inexact Rounded
powx1387 power 0.009999 -500000000 -> Infinity Overflow Inexact Rounded
-- negative power giving subnormal
powx1388 power 100.000001 -500000000 -> 6.7379E-1000000003 Underflow Subnormal Inexact Rounded
----------------------------------------------------------------------
-- Below here are the tests with a non-integer rhs, including the --
-- tests that previously caused Invalid operation. An integer-only --
-- (on rhs) implementation should handle all the tests above as --
-- shown, and would flag most of the following tests as Invalid. --
----------------------------------------------------------------------
precision: 16
rounding: half_even
maxExponent: 384
minExponent: -383
powx2000 power 7 '10000000000' -> Infinity Overflow Inexact Rounded
powx2001 power 2 '2.000001' -> 4.000002772589683 Inexact Rounded
powx2002 power 2 '2.00000000' -> 4
powx2003 power 2 '2.000000001' -> 4.000000002772589 Inexact Rounded
powx2004 power 2 '2.0000000001' -> 4.000000000277259 Inexact Rounded
powx2005 power 2 '2.00000000001' -> 4.000000000027726 Inexact Rounded
powx2006 power 2 '2.000000000001' -> 4.000000000002773 Inexact Rounded
powx2007 power 2 '2.0000000000001' -> 4.000000000000277 Inexact Rounded
powx2008 power 2 '2.00000000000001' -> 4.000000000000028 Inexact Rounded
powx2009 power 2 '2.000000000000001' -> 4.000000000000003 Inexact Rounded
powx2010 power 2 '2.0000000000000001' -> 4.000000000000000 Inexact Rounded
-- 1 234567890123456
powx2011 power 1 1234 -> 1
precision: 4
powx2012 power 1 1234 -> 1
precision: 3
powx2013 power 1 1234 -> 1
powx2014 power 1 12.34e+2 -> 1
powx2015 power 1 12.3 -> 1.00 Inexact Rounded
powx2016 power 1 12.0 -> 1
powx2017 power 1 1.01 -> 1.00 Inexact Rounded
powx2018 power 2 1.00 -> 2
powx2019 power 2 2.00 -> 4
precision: 9
powx2030 power 1 1.0001 -> 1.00000000 Inexact Rounded
powx2031 power 1 1.0000001 -> 1.00000000 Inexact Rounded
powx2032 power 1 1.0000000001 -> 1.00000000 Inexact Rounded
powx2033 power 1 1.0000000000001 -> 1.00000000 Inexact Rounded
precision: 5
powx2034 power 1 1.0001 -> 1.0000 Inexact Rounded
powx2035 power 1 1.0000001 -> 1.0000 Inexact Rounded
powx2036 power 1 1.0000000001 -> 1.0000 Inexact Rounded
powx2037 power 1 1.0000000000001 -> 1.0000 Inexact Rounded
powx2038 power 1 1.0000000000001 -> 1.0000 Inexact Rounded
rounding: ceiling
precision: 3
powx2039 power 1 1.01 -> 1.00 Inexact Rounded
powx2040 power 1 12.3 -> 1.00 Inexact Rounded
rounding: half_even
-- 1 ** any integer, including big ones, should be exact
powx2041 power 1 1000000000 -> 1
powx2042 power 1 9999999999 -> 1
powx2043 power 1 12345678000 -> 1
powx2044 power 1 1234567800 -> 1
powx2045 power 1 1234567890 -> 1
powx2046 power 1 11234567891 -> 1
powx2047 power 1 12345678901 -> 1
powx2048 power 1 1234567896 -> 1
powx2049 power 1 -1234567896 -> 1
powx2051 power 1 1000000000 -> 1
powx2052 power 1 -1000000000 -> 1
powx2053 power 1 12345678000 -> 1
powx2054 power 1 -1234567896 -> 1
powx2055 power 1 1000000000 -> 1
powx2056 power 1 4300000000 -> 1
powx2057 power 1 -1000000000 -> 1
-- negatives ... but not out of range for decNumber
powx2061 power -1 100000 -> 1
powx2062 power -1 999999 -> -1
powx2063 power -1 1278000 -> 1
powx2064 power -1 127803 -> -1
powx2065 power -1 127890 -> 1
powx2066 power -1 1167891 -> -1
powx2067 power -1 1278901 -> -1
powx2068 power -1 127896 -> 1
powx2069 power -1 -167897 -> -1
powx2071 power -1 100000 -> 1
powx2072 power -1 -100001 -> -1
powx2073 power -1 1278000 -> 1
powx2074 power -1 -167896 -> 1
powx2075 power -1 100000 -> 1
powx2076 power -1 -100009 -> -1
-- The above were derived from the earlier version of power.decTest;
-- now start new tests for power(x,y) for non-integer y
precision: 9
-- tests from specification
powx2081 power 2 3 -> '8'
powx2082 power -2 3 -> '-8'
powx2083 power 2 -3 -> '0.125'
powx2084 power 1.7 '8' -> '69.7575744' Inexact Rounded
powx2085 power 10 0.301029996 -> 2.00000000 Inexact Rounded
powx2086 power Infinity '-1' -> '0'
powx2087 power Infinity '0' -> '1'
powx2088 power Infinity '1' -> 'Infinity'
powx2089 power -Infinity '-1' -> '-0'
powx2090 power -Infinity '0' -> '1'
powx2091 power -Infinity '1' -> '-Infinity'
powx2092 power -Infinity '2' -> 'Infinity'
powx2093 power 0 0 -> 'NaN' Invalid_operation
precision: 16
rounding: half_even
maxExponent: 384
minExponent: -383
-- basics
powx2100 power 1E-7 1E-7 -> 0.9999983881917339 Inexact Rounded
powx2101 power 0.003 1E-7 -> 0.9999994190858697 Inexact Rounded
powx2102 power 0.7 1E-7 -> 0.9999999643325062 Inexact Rounded
powx2103 power 1.2 1E-7 -> 1.000000018232156 Inexact Rounded
powx2104 power 71 1E-7 -> 1.000000426268079 Inexact Rounded
powx2105 power 9E+9 1E-7 -> 1.000002292051668 Inexact Rounded
powx2110 power 1E-7 0.003 -> 0.9527961640236519 Inexact Rounded
powx2111 power 0.003 0.003 -> 0.9827235503366797 Inexact Rounded
powx2112 power 0.7 0.003 -> 0.9989305474406207 Inexact Rounded
powx2113 power 1.2 0.003 -> 1.000547114282834 Inexact Rounded
powx2114 power 71 0.003 -> 1.012870156273545 Inexact Rounded
powx2115 power 9E+9 0.003 -> 1.071180671278787 Inexact Rounded
powx2120 power 1E-7 0.7 -> 0.00001258925411794167 Inexact Rounded
powx2121 power 0.003 0.7 -> 0.01713897630281030 Inexact Rounded
powx2122 power 0.7 0.7 -> 0.7790559126704491 Inexact Rounded
powx2123 power 1.2 0.7 -> 1.136126977198889 Inexact Rounded
powx2124 power 71 0.7 -> 19.76427300093870 Inexact Rounded
powx2125 power 9E+9 0.7 -> 9289016.976853710 Inexact Rounded
powx2130 power 1E-7 1.2 -> 3.981071705534973E-9 Inexact Rounded
powx2131 power 0.003 1.2 -> 0.0009387403933595694 Inexact Rounded
powx2132 power 0.7 1.2 -> 0.6518049405663864 Inexact Rounded
powx2133 power 1.2 1.2 -> 1.244564747203978 Inexact Rounded
powx2134 power 71 1.2 -> 166.5367244638552 Inexact Rounded
powx2135 power 9E+9 1.2 -> 881233526124.8791 Inexact Rounded
powx2140 power 1E-7 71 -> 0E-398 Inexact Rounded Underflow Subnormal Clamped
powx2141 power 0.003 71 -> 7.509466514979725E-180 Inexact Rounded
powx2142 power 0.7 71 -> 1.004525211269079E-11 Inexact Rounded
powx2143 power 1.2 71 -> 418666.7483186515 Inexact Rounded
powx2144 power 71 71 -> 2.750063734834616E+131 Inexact Rounded
powx2145 power 9E+9 71 -> Infinity Inexact Rounded Overflow
powx2150 power 1E-7 9E+9 -> 0E-398 Inexact Rounded Underflow Subnormal Clamped
powx2151 power 0.003 9E+9 -> 0E-398 Inexact Rounded Underflow Subnormal Clamped
powx2152 power 0.7 9E+9 -> 0E-398 Inexact Rounded Underflow Subnormal Clamped
powx2153 power 1.2 9E+9 -> Infinity Inexact Rounded Overflow
powx2154 power 71 9E+9 -> Infinity Inexact Rounded Overflow
powx2155 power 9E+9 9E+9 -> Infinity Inexact Rounded Overflow
-- number line milestones with lhs<1 and lhs>1
-- Overflow boundary (Nmax)
powx2202 power 71 207.966651583983200 -> Infinity Inexact Rounded Overflow
powx2201 power 71 207.966651583983199 -> 9.999999999999994E+384 Inexact Rounded
powx2204 power 0.003 -152.603449817093577 -> Infinity Inexact Rounded Overflow
powx2203 power 0.003 -152.603449817093576 -> 9.999999999999994E+384 Inexact Rounded
-- Nmin boundary
powx2211 power 71 -206.886305341988480 -> 1.000000000000005E-383 Inexact Rounded
powx2212 power 71 -206.886305341988481 -> 1.000000000000001E-383 Inexact Rounded
powx2213 power 71 -206.886305341988482 -> 9.99999999999997E-384 Inexact Rounded Underflow Subnormal
powx2214 power 71 -206.886305341988483 -> 9.99999999999992E-384 Inexact Rounded Underflow Subnormal
-- 9.999999999999924565357019820
powx2215 power 0.003 151.810704623238543 -> 1.000000000000009E-383 Inexact Rounded
powx2216 power 0.003 151.810704623238544 -> 1.000000000000003E-383 Inexact Rounded
powx2217 power 0.003 151.810704623238545 -> 9.99999999999997E-384 Inexact Rounded Underflow Subnormal
powx2218 power 0.003 151.810704623238546 -> 9.99999999999991E-384 Inexact Rounded Underflow Subnormal
-- Ntiny boundary, these edge cases determined using half_up rounding
rounding: half_up
powx2221 power 71 -215.151510469220498 -> 1E-398 Inexact Rounded Underflow Subnormal
powx2222 power 71 -215.151510469220499 -> 1E-398 Inexact Rounded Underflow Subnormal
powx2223 power 71 -215.151510469220500 -> 0E-398 Inexact Rounded Underflow Subnormal Clamped
powx2224 power 71 -215.151510469220501 -> 0E-398 Inexact Rounded Underflow Subnormal Clamped
powx2225 power 0.003 157.875613618285691 -> 1E-398 Inexact Rounded Underflow Subnormal
powx2226 power 0.003 157.875613618285692 -> 1E-398 Inexact Rounded Underflow Subnormal
powx2227 power 0.003 157.875613618285693 -> 0E-398 Inexact Rounded Underflow Subnormal Clamped
powx2228 power 0.003 220 -> 0E-398 Inexact Rounded Underflow Subnormal Clamped
rounding: half_even
-- power(10, y) are important ...
-- Integer powers are exact, unless over/underflow
powx2301 power 10 385 -> Infinity Overflow Inexact Rounded
powx2302 power 10 384 -> 1.000000000000000E+384 Rounded
powx2303 power 10 17 -> 1.000000000000000E+17 Rounded
powx2304 power 10 16 -> 1.000000000000000E+16 Rounded
powx2305 power 10 15 -> 1000000000000000
powx2306 power 10 10 -> 10000000000
powx2307 power 10 5 -> 100000
powx2308 power 10 1 -> 10
powx2309 power 10 0 -> 1
powx2310 power 10 -1 -> 0.1
powx2311 power 10 -5 -> 0.00001
powx2312 power 10 -6 -> 0.000001
powx2313 power 10 -7 -> 1E-7
powx2314 power 10 -8 -> 1E-8
powx2315 power 10 -9 -> 1E-9
powx2316 power 10 -10 -> 1E-10
powx2317 power 10 -383 -> 1E-383
powx2318 power 10 -384 -> 1E-384 Subnormal
powx2319 power 10 -385 -> 1E-385 Subnormal
powx2320 power 10 -397 -> 1E-397 Subnormal
powx2321 power 10 -398 -> 1E-398 Subnormal
powx2322 power 10 -399 -> 0E-398 Subnormal Underflow Inexact Rounded Clamped
powx2323 power 10 -400 -> 0E-398 Subnormal Underflow Inexact Rounded Clamped
-- Independent sanity check: 1961 Godfrey & Siddons four-figure logs
powx2351 power 10 0.0000 -> 1
powx2352 power 10 0.3010 -> 1.999861869632744 Inexact Rounded
powx2353 power 10 0.4771 -> 2.999853181190793 Inexact Rounded
powx2354 power 10 0.6021 -> 4.000368510461250 Inexact Rounded
powx2355 power 10 0.6990 -> 5.000345349769785 Inexact Rounded
powx2356 power 10 0.7782 -> 6.000673538641164 Inexact Rounded
powx2357 power 10 0.8451 -> 7.000031591308969 Inexact Rounded
powx2358 power 10 0.9031 -> 8.000184448550990 Inexact Rounded
powx2359 power 10 0.9542 -> 8.999119108700520 Inexact Rounded
powx2360 power 10 0.9956 -> 9.899197750805841 Inexact Rounded
powx2361 power 10 0.9996 -> 9.990793899844618 Inexact Rounded
precision: 4
powx2371 power 10 0.0000 -> 1
powx2372 power 10 0.3010 -> 2.000 Inexact Rounded
powx2373 power 10 0.4771 -> 3.000 Inexact Rounded
powx2374 power 10 0.6021 -> 4.000 Inexact Rounded
powx2375 power 10 0.6990 -> 5.000 Inexact Rounded
powx2376 power 10 0.7782 -> 6.001 Inexact Rounded
powx2377 power 10 0.8451 -> 7.000 Inexact Rounded
powx2378 power 10 0.9031 -> 8.000 Inexact Rounded
powx2379 power 10 0.9542 -> 8.999 Inexact Rounded
powx2380 power 10 0.9956 -> 9.899 Inexact Rounded
powx2381 power 10 0.9996 -> 9.991 Inexact Rounded
-- 10**x ~=2 (inverse of the test in log10.decTest)
precision: 50
powx2401 power 10 0.30102999566398119521373889472449302676818988146211 -> 2.0000000000000000000000000000000000000000000000000 Inexact Rounded
precision: 49
powx2402 power 10 0.3010299956639811952137388947244930267681898814621 -> 2.000000000000000000000000000000000000000000000000 Inexact Rounded
precision: 48
powx2403 power 10 0.301029995663981195213738894724493026768189881462 -> 2.00000000000000000000000000000000000000000000000 Inexact Rounded
precision: 47
powx2404 power 10 0.30102999566398119521373889472449302676818988146 -> 2.0000000000000000000000000000000000000000000000 Inexact Rounded
precision: 46
powx2405 power 10 0.3010299956639811952137388947244930267681898815 -> 2.000000000000000000000000000000000000000000000 Inexact Rounded
precision: 45
powx2406 power 10 0.301029995663981195213738894724493026768189881 -> 2.00000000000000000000000000000000000000000000 Inexact Rounded
precision: 44
powx2407 power 10 0.30102999566398119521373889472449302676818988 -> 2.0000000000000000000000000000000000000000000 Inexact Rounded
precision: 43
powx2408 power 10 0.3010299956639811952137388947244930267681899 -> 2.000000000000000000000000000000000000000000 Inexact Rounded
precision: 42
powx2409 power 10 0.301029995663981195213738894724493026768190 -> 2.00000000000000000000000000000000000000000 Inexact Rounded
precision: 41
powx2410 power 10 0.30102999566398119521373889472449302676819 -> 2.0000000000000000000000000000000000000000 Inexact Rounded
precision: 40
powx2411 power 10 0.3010299956639811952137388947244930267682 -> 2.000000000000000000000000000000000000000 Inexact Rounded
precision: 39
powx2412 power 10 0.301029995663981195213738894724493026768 -> 2.00000000000000000000000000000000000000 Inexact Rounded
precision: 38
powx2413 power 10 0.30102999566398119521373889472449302677 -> 2.0000000000000000000000000000000000000 Inexact Rounded
precision: 37
powx2414 power 10 0.3010299956639811952137388947244930268 -> 2.000000000000000000000000000000000000 Inexact Rounded
precision: 36
powx2415 power 10 0.301029995663981195213738894724493027 -> 2.00000000000000000000000000000000000 Inexact Rounded
precision: 35
powx2416 power 10 0.30102999566398119521373889472449303 -> 2.0000000000000000000000000000000000 Inexact Rounded
precision: 34
powx2417 power 10 0.3010299956639811952137388947244930 -> 2.000000000000000000000000000000000 Inexact Rounded
precision: 33
powx2418 power 10 0.301029995663981195213738894724493 -> 2.00000000000000000000000000000000 Inexact Rounded
precision: 32
powx2419 power 10 0.30102999566398119521373889472449 -> 2.0000000000000000000000000000000 Inexact Rounded
precision: 31
powx2420 power 10 0.3010299956639811952137388947245 -> 2.000000000000000000000000000000 Inexact Rounded
precision: 30
powx2421 power 10 0.301029995663981195213738894725 -> 2.00000000000000000000000000000 Inexact Rounded
precision: 29
powx2422 power 10 0.30102999566398119521373889472 -> 2.0000000000000000000000000000 Inexact Rounded
precision: 28
powx2423 power 10 0.3010299956639811952137388947 -> 2.000000000000000000000000000 Inexact Rounded
precision: 27
powx2424 power 10 0.301029995663981195213738895 -> 2.00000000000000000000000000 Inexact Rounded
precision: 26
powx2425 power 10 0.30102999566398119521373889 -> 2.0000000000000000000000000 Inexact Rounded
precision: 25
powx2426 power 10 0.3010299956639811952137389 -> 2.000000000000000000000000 Inexact Rounded
precision: 24
powx2427 power 10 0.301029995663981195213739 -> 2.00000000000000000000000 Inexact Rounded
precision: 23
powx2428 power 10 0.30102999566398119521374 -> 2.0000000000000000000000 Inexact Rounded
precision: 22
powx2429 power 10 0.3010299956639811952137 -> 2.000000000000000000000 Inexact Rounded
precision: 21
powx2430 power 10 0.301029995663981195214 -> 2.00000000000000000000 Inexact Rounded
precision: 20
powx2431 power 10 0.30102999566398119521 -> 2.0000000000000000000 Inexact Rounded
precision: 19
powx2432 power 10 0.3010299956639811952 -> 2.000000000000000000 Inexact Rounded
precision: 18
powx2433 power 10 0.301029995663981195 -> 2.00000000000000000 Inexact Rounded
precision: 17
powx2434 power 10 0.30102999566398120 -> 2.0000000000000000 Inexact Rounded
precision: 16
powx2435 power 10 0.3010299956639812 -> 2.000000000000000 Inexact Rounded
precision: 15
powx2436 power 10 0.301029995663981 -> 2.00000000000000 Inexact Rounded
precision: 14
powx2437 power 10 0.30102999566398 -> 2.0000000000000 Inexact Rounded
precision: 13
powx2438 power 10 0.3010299956640 -> 2.000000000000 Inexact Rounded
precision: 12
powx2439 power 10 0.301029995664 -> 2.00000000000 Inexact Rounded
precision: 11
powx2440 power 10 0.30102999566 -> 2.0000000000 Inexact Rounded
precision: 10
powx2441 power 10 0.3010299957 -> 2.000000000 Inexact Rounded
precision: 9
powx2442 power 10 0.301029996 -> 2.00000000 Inexact Rounded
precision: 8
powx2443 power 10 0.30103000 -> 2.0000000 Inexact Rounded
precision: 7
powx2444 power 10 0.3010300 -> 2.000000 Inexact Rounded
precision: 6
powx2445 power 10 0.301030 -> 2.00000 Inexact Rounded
precision: 5
powx2446 power 10 0.30103 -> 2.0000 Inexact Rounded
precision: 4
powx2447 power 10 0.3010 -> 2.000 Inexact Rounded
precision: 3
powx2448 power 10 0.301 -> 2.00 Inexact Rounded
precision: 2
powx2449 power 10 0.30 -> 2.0 Inexact Rounded
precision: 1
powx2450 power 10 0.3 -> 2 Inexact Rounded
maxExponent: 384
minExponent: -383
precision: 16
rounding: half_even
-- Close-to-e tests
precision: 34
powx2500 power 10 0.4342944819032518276511289189166048 -> 2.718281828459045235360287471352661 Inexact Rounded
powx2501 power 10 0.4342944819032518276511289189166049 -> 2.718281828459045235360287471352661 Inexact Rounded
powx2502 power 10 0.4342944819032518276511289189166050 -> 2.718281828459045235360287471352662 Inexact Rounded
powx2503 power 10 0.4342944819032518276511289189166051 -> 2.718281828459045235360287471352663 Inexact Rounded
powx2504 power 10 0.4342944819032518276511289189166052 -> 2.718281828459045235360287471352663 Inexact Rounded
-- e**e, 16->34
powx2505 power 2.718281828459045 2.718281828459045 -> '15.15426224147925705633739513098219' Inexact Rounded
-- Sequence around an integer
powx2512 power 10 2.9999999999999999999999999999999997 -> 999.9999999999999999999999999999993 Inexact Rounded
powx2513 power 10 2.9999999999999999999999999999999998 -> 999.9999999999999999999999999999995 Inexact Rounded
powx2514 power 10 2.9999999999999999999999999999999999 -> 999.9999999999999999999999999999998 Inexact Rounded
powx2515 power 10 3.0000000000000000000000000000000000 -> 1000
powx2516 power 10 3.0000000000000000000000000000000001 -> 1000.000000000000000000000000000000 Inexact Rounded
powx2517 power 10 3.0000000000000000000000000000000002 -> 1000.000000000000000000000000000000 Inexact Rounded
powx2518 power 10 3.0000000000000000000000000000000003 -> 1000.000000000000000000000000000001 Inexact Rounded
-- randomly generated tests
maxExponent: 384
minExponent: -383
-- P=34, within 0-999 -- positive arg2
Precision: 34
powx3201 power 5.301557744131969249145904611290735 369.3175647984435534243813466380579 -> 3.427165676345688240023113326603960E+267 Inexact Rounded
powx3202 power 0.0000000000506875655819165973738225 21.93514102704466434121826965196878 -> 1.498169860033487321566659495340789E-226 Inexact Rounded
powx3203 power 97.88877680721519917858007810494043 5.159898445242793470476673109899554 -> 18705942904.43290467281449559427982 Inexact Rounded
powx3204 power 7.380441015594399747973924380493799 17.93614173904818313507525109033288 -> 3715757985820076.273336082702577274 Inexact Rounded
powx3205 power 2.045623627647350918819219169855040 1082.999652407430697958175966996254 -> 4.208806435006704867447150904279854E+336 Inexact Rounded
powx3206 power 0.0000000762582873112118926142955423 20.30534237055073996975203864170432 -> 2.967574278677013090697130349198877E-145 Inexact Rounded
powx3207 power 0.0000000000194091470907814855660535 14.71164213947722238856835440242911 -> 2.564391397469554735037158345963280E-158 Inexact Rounded
powx3208 power 0.0000000000509434185382818596853504 20.97051498204188277347203735421595 -> 1.420157372748083000927138678417272E-216 Inexact Rounded
powx3209 power 0.0005389217212073307301395750745119 43.96798225485747315858678755538971 -> 1.957850185781292007977898626137240E-144 Inexact Rounded
powx3210 power 498.5690105989136050444077447411198 128.1038813807243375878831104745803 -> 3.882212970903893127009102293596268E+345 Inexact Rounded
powx3211 power 0.0000000935428918637303954281938975 5.736933454863278597460091596496099 -> 4.733219644540496152403967823635195E-41 Inexact Rounded
powx3212 power 8.581586784734161309180363110126352 252.0229459968869784643374981477208 -> 1.907464842458674622356177850049873E+235 Inexact Rounded
powx3213 power 294.1005302951621709143320795278305 155.5466374141708615975111014663722 -> 9.251717033292072959166737280729728E+383 Inexact Rounded
powx3214 power 0.0000000041253343654396865855722090 19.00170974760425576247662125110472 -> 4.779566288553864405790921353593512E-160 Inexact Rounded
powx3215 power 0.0000000000046912257352141395184092 24.66089523148729269098773236636878 -> 4.205126874048597849476723538057527E-280 Inexact Rounded
powx3216 power 0.0000000000036796674296520639450494 22.09713956900694689234335912523078 -> 2.173081843837539818472071316420405E-253 Inexact Rounded
powx3217 power 9.659887100303037657934372148567685 277.3765665424320875993026404492216 -> 1.614974043145519382749740616665041E+273 Inexact Rounded
powx3218 power 0.0000083231310642229204398943076403 29.33123211782131466471359128190372 -> 1.013330439786660210757226597785328E-149 Inexact Rounded
powx3219 power 0.0938084859086450954956863725653664 262.6091918199905272837286784975012 -> 1.262802485286301066967555821509344E-270 Inexact Rounded
powx3220 power 8.194926977580900145696305910223304 184.3705133945546202012995485297248 -> 2.696353910907824016690021495828584E+168 Inexact Rounded
powx3221 power 72.39594594653085161522285114566120 168.7721909489321402152033939836725 -> 7.379858293630460043361584410795031E+313 Inexact Rounded
powx3222 power 0.0000000000003436856010144185445537 26.34329868961274988994452526178983 -> 4.585379573595865689605567720192768E-329 Inexact Rounded
powx3223 power 20.18365633762226550254542489492623 127.2099705237021350103678072707790 -> 1.020919629336979353690271762206060E+166 Inexact Rounded
powx3224 power 0.0000000553723990761530290129268131 8.157597566134754638015199501162405 -> 6.349030513396147480954474615067145E-60 Inexact Rounded
powx3225 power 0.0001028742674265840656614682618035 93.99842317306603797965470281716482 -> 1.455871110222736531854990397769940E-375 Inexact Rounded
powx3226 power 95.90195152775543876489746343266050 143.5992850002211509777720799352475 -> 3.881540015848530405189834366588567E+284 Inexact Rounded
powx3227 power 0.0000000000041783747057233878360333 12.14591167764993506821334760954430 -> 6.190998557456885985124592807383163E-139 Inexact Rounded
powx3228 power 0.5572830497086740798434917090018768 1001.921811263919522230330241349166 -> 3.871145158537170450093833881625838E-255 Inexact Rounded
powx3229 power 516.4754759779093954790813881333232 29.23812463126309057800793645336343 -> 2.110986192408878294012450052929185E+79 Inexact Rounded
powx3230 power 0.0000835892099464584776847299020706 27.64279992884843877453592659341588 -> 1.891535098905506689512376224943293E-113 Inexact Rounded
powx3231 power 72.45836577748571838139900165184955 166.2562890735032545091688015160084 -> 1.784091549041561516923092542939141E+309 Inexact Rounded
powx3232 power 305.1823317643335924007629563009032 83.01065159508472884219290136319623 -> 1.757493136164395229602456782779110E+206 Inexact Rounded
powx3233 power 7.108527102951713603542835791733786 145.7057852766236365450463428821948 -> 1.285934774113104362663619896550528E+124 Inexact Rounded
powx3234 power 6.471393503175464828149365697049824 64.11741937262455725284754171995720 -> 9.978990355881803195280027533011699E+51 Inexact Rounded
powx3235 power 39.72898094138459885662380866268385 239.9677288017447400786672779735168 -> 5.422218208517098335832848487375086E+383 Inexact Rounded
powx3236 power 0.0002865592332736973000183287329933 90.34733869590583787065642532641096 -> 8.293733126976212033209243257136796E-321 Inexact Rounded
powx3237 power 0.0000011343384394864811195077357936 1.926568285528399656789140809399396 -> 3.516055639378350146874261077470142E-12 Inexact Rounded
powx3238 power 0.0000000035321610295065299384889224 7.583861778824284092434085265265582 -> 7.970899823817369764381976286536230E-65 Inexact Rounded
powx3239 power 657.5028301569352677543770758346683 90.55778453811965116200206020172758 -> 1.522530898581564200655160665723268E+255 Inexact Rounded
powx3240 power 8.484756398325748879450577520251447 389.7468292476262478578280531222417 -> 8.595142803587368093392510310811218E+361 Inexact Rounded
-- P=16, within 0-99 -- positive arg2
Precision: 16
powx3101 power 0.0000215524639223 48.37532522355252 -> 1.804663257287277E-226 Inexact Rounded
powx3102 power 00.80705856227999 2706.777535121391 -> 1.029625065876157E-252 Inexact Rounded
powx3103 power 3.445441676383689 428.5185892455830 -> 1.657401683096454E+230 Inexact Rounded
powx3104 power 0.0040158689495826 159.5725558816240 -> 4.255743665762492E-383 Inexact Rounded
powx3105 power 0.0000841553281215 38.32504413453944 -> 6.738653902512052E-157 Inexact Rounded
powx3106 power 0.7322610252571353 502.1254457674118 -> 1.109978126985943E-68 Inexact Rounded
powx3107 power 10.75052532144880 67.34180604734781 -> 2.873015019470189E+69 Inexact Rounded
powx3108 power 26.20425952945617 104.6002671186488 -> 2.301859355777030E+148 Inexact Rounded
powx3109 power 0.0000055737473850 31.16285859005424 -> 1.883348470100446E-164 Inexact Rounded
powx3110 power 61.06096011360700 10.93608439088726 -> 3.382686473028249E+19 Inexact Rounded
powx3111 power 9.340880853257137 179.9094938131726 -> 3.819299795937696E+174 Inexact Rounded
powx3112 power 0.0000050767371756 72.03346394186741 -> 4.216236691569869E-382 Inexact Rounded
powx3113 power 6.838478807860596 47.49665590602285 -> 4.547621630099203E+39 Inexact Rounded
powx3114 power 0.1299324346439081 397.7440523576938 -> 3.065047705553981E-353 Inexact Rounded
powx3115 power 0.0003418047034264 20.00516791512018 -> 4.546189665380487E-70 Inexact Rounded
powx3116 power 0.0001276899611715 78.12968287355703 -> 5.960217405063995E-305 Inexact Rounded
powx3117 power 25.93160588180509 252.6245071004620 -> 1.472171597589146E+357 Inexact Rounded
powx3118 power 35.47516857763178 86.14723037360925 -> 3.324299908481125E+133 Inexact Rounded
powx3119 power 0.0000048171086721 43.31965603038666 -> 4.572331516616228E-231 Inexact Rounded
powx3120 power 17.97652681097851 144.4684576550292 -> 1.842509906097860E+181 Inexact Rounded
powx3121 power 3.622765141518729 305.1948680344950 -> 4.132320967578704E+170 Inexact Rounded
powx3122 power 0.0080959002453519 143.9899444945627 -> 6.474627812947047E-302 Inexact Rounded
powx3123 power 9.841699927276571 299.2466668837188 -> 1.489097656208736E+297 Inexact Rounded
powx3124 power 0.0786659206232355 347.4750796962570 -> 2.05764809646925E-384 Inexact Rounded Underflow Subnormal
powx3125 power 0.0000084459792645 52.47348690745487 -> 6.076251876516942E-267 Inexact Rounded
powx3126 power 27.86589909967504 191.7296537102283 -> 1.157064112989386E+277 Inexact Rounded
powx3127 power 0.0000419907937234 58.44957702730767 -> 1.496950672075162E-256 Inexact Rounded
powx3128 power 0.0000664977739382 80.06749213261876 -> 3.488517620107875E-335 Inexact Rounded
powx3129 power 58.49554484886656 125.8480768373499 -> 2.449089862146640E+222 Inexact Rounded
powx3130 power 15.02820060024449 212.3527988973338 -> 8.307913932682067E+249 Inexact Rounded
powx3131 power 0.0002650089942992 30.92173123678761 -> 2.517827664836147E-111 Inexact Rounded
powx3132 power 0.0007342977426578 69.49168880741123 -> 1.600168665674440E-218 Inexact Rounded
powx3133 power 0.0063816068650629 150.1400094183812 -> 2.705057295799001E-330 Inexact Rounded
powx3134 power 9.912921122728791 297.8274013633411 -> 4.967624993438900E+296 Inexact Rounded
powx3135 power 1.988603563989245 768.4862967922182 -> 2.692842474899596E+229 Inexact Rounded
powx3136 power 8.418014519517691 164.2431359980725 -> 9.106211585888836E+151 Inexact Rounded
powx3137 power 6.068823604450686 120.2955212365837 -> 1.599431918105982E+94 Inexact Rounded
powx3138 power 56.90062738303850 54.90468294683645 -> 2.312839177902428E+96 Inexact Rounded
powx3139 power 5.710905139750871 73.44608752962156 -> 3.775876053709929E+55 Inexact Rounded
powx3140 power 0.0000017446761203 1.223981492228899 -> 8.952936595465635E-8 Inexact Rounded
-- P=7, within 0-9 -- positive arg2
Precision: 7
powx3001 power 8.738689 55.96523 -> 4.878180E+52 Inexact Rounded
powx3002 power 0.0404763 147.4965 -> 3.689722E-206 Inexact Rounded
powx3003 power 0.0604232 76.69778 -> 3.319183E-94 Inexact Rounded
powx3004 power 0.0058855 107.5018 -> 1.768875E-240 Inexact Rounded
powx3005 power 2.058302 1173.050 -> 5.778899E+367 Inexact Rounded
powx3006 power 0.0056998 85.70157 -> 4.716783E-193 Inexact Rounded
powx3007 power 0.8169297 3693.537 -> 4.475962E-325 Inexact Rounded
powx3008 power 0.2810153 659.9568 -> 1.533177E-364 Inexact Rounded
powx3009 power 4.617478 15.68308 -> 2.629748E+10 Inexact Rounded
powx3010 power 0.0296418 244.2302 -> 6.207949E-374 Inexact Rounded
powx3011 power 0.0036456 127.9987 -> 8.120891E-313 Inexact Rounded
powx3012 power 0.5012813 577.5418 -> 6.088802E-174 Inexact Rounded
powx3013 power 0.0033275 119.9800 -> 5.055049E-298 Inexact Rounded
powx3014 power 0.0037652 111.7092 -> 1.560351E-271 Inexact Rounded
powx3015 power 0.6463252 239.0568 -> 4.864564E-46 Inexact Rounded
powx3016 power 4.784378 475.0521 -> 8.964460E+322 Inexact Rounded
powx3017 power 4.610305 563.1791 -> 6.290298E+373 Inexact Rounded
powx3018 power 0.0175167 80.52208 -> 3.623472E-142 Inexact Rounded
powx3019 power 5.238307 356.7944 -> 4.011461E+256 Inexact Rounded
powx3020 power 0.0003527 96.26347 -> 4.377932E-333 Inexact Rounded
powx3021 power 0.0015155 136.0516 -> 2.57113E-384 Inexact Rounded Underflow Subnormal
powx3022 power 5.753573 273.2340 -> 4.373184E+207 Inexact Rounded
powx3023 power 7.778665 332.7917 -> 3.060640E+296 Inexact Rounded
powx3024 power 1.432479 2046.064 -> 2.325829E+319 Inexact Rounded
powx3025 power 5.610516 136.4563 -> 1.607502E+102 Inexact Rounded
powx3026 power 0.0050697 137.4513 -> 3.522315E-316 Inexact Rounded
powx3027 power 5.678737 85.16253 -> 1.713909E+64 Inexact Rounded
powx3028 power 0.0816167 236.1973 -> 9.228802E-258 Inexact Rounded
powx3029 power 0.2602805 562.0157 -> 2.944556E-329 Inexact Rounded
powx3030 power 0.0080936 24.25367 -> 1.839755E-51 Inexact Rounded
powx3031 power 4.092016 82.94603 -> 5.724948E+50 Inexact Rounded
powx3032 power 0.0078255 7.204184 -> 6.675342E-16 Inexact Rounded
powx3033 power 0.9917693 29846.44 -> 7.430177E-108 Inexact Rounded
powx3034 power 1.610380 301.2467 -> 2.170142E+62 Inexact Rounded
powx3035 power 0.0588236 212.1097 -> 1.023196E-261 Inexact Rounded
powx3036 power 2.498069 531.4647 -> 2.054561E+211 Inexact Rounded
powx3037 power 9.964342 326.5438 -> 1.089452E+326 Inexact Rounded
powx3038 power 0.0820626 268.8718 -> 1.107350E-292 Inexact Rounded
powx3039 power 6.176486 360.7779 -> 1.914449E+285 Inexact Rounded
powx3040 power 4.206363 16.17288 -> 1.231314E+10 Inexact Rounded
-- P=34, within 0-999 -- negative arg2
Precision: 34
powx3701 power 376.0915270000109486633402827007902 -35.69822349904102131649243701958463 -> 1.165722831225506457828653413200143E-92 Inexact Rounded
powx3702 power 0.0000000503747440074613191665845314 -9.520308341497979093021813571450575 -> 3.000432478861883953977971226770410E+69 Inexact Rounded
powx3703 power 290.6858731495339778337953407938308 -118.5459048597789693292455673428367 -> 9.357969047113989238392527565200302E-293 Inexact Rounded
powx3704 power 4.598864607620052062908700928454182 -299.8323667698931125720218537483753 -> 2.069641269855413539579128114448478E-199 Inexact Rounded
powx3705 power 2.556952676986830645708349254938903 -425.1755373251941383147998924703593 -> 4.428799777833598654260883861514638E-174 Inexact Rounded
powx3706 power 0.0000005656198763404221986640610118 -32.83361380678301321230028730075315 -> 1.340270622401829145968477601029251E+205 Inexact Rounded
powx3707 power 012.4841978642452960750801410372125 -214.3734291828712962809866663321921 -> 9.319857751170603140459057535971202E-236 Inexact Rounded
powx3708 power 0.0000000056041586148066919174315551 -37.21129049213858341528033343116533 -> 1.118345010652454313186702341873169E+307 Inexact Rounded
powx3709 power 0.0694569218941833767199998804202152 -8.697509072368973932501239815677732 -> 11862866995.51026489032838174290271 Inexact Rounded
powx3710 power 6.380984024259450398729243522354144 -451.0635696889193561457985486366827 -> 8.800353109387322474809325670314330E-364 Inexact Rounded
powx3711 power 786.0264840756809048288007204917801 -43.09935384678762773057342161718540 -> 1.616324183365644133979585419925934E-125 Inexact Rounded
powx3712 power 96.07836427113204744101287948445130 -185.1414572546330024388914720271876 -> 8.586320815218383004023264980018610E-368 Inexact Rounded
powx3713 power 0.0000000002332189796855870659792406 -5.779561613164628076880609893753327 -> 4.678450775876385793618570483345066E+55 Inexact Rounded
powx3714 power 0.7254146672024602242369943237968857 -2115.512891397828615710130092245691 -> 8.539080958041689288202111403102495E+294 Inexact Rounded
powx3715 power 0.0017380543649702864796144008592137 -6.307668017761022788220578633538713 -> 256309141459075651.2275798017695017 Inexact Rounded
powx3716 power 05.29498758952276908267649116142379 -287.3233896734103442991981056134167 -> 1.039130027847489364009368608104291E-208 Inexact Rounded
powx3717 power 15.64403593865932622003462779104178 -110.5296633358063267478609032002475 -> 9.750540276026524527375125980296142E-133 Inexact Rounded
powx3718 power 89.69639006761571087634945077373508 -181.3209914139357665609268339422627 -> 8.335034232277762924539395632025281E-355 Inexact Rounded
powx3719 power 6.974087483731006359914914110135058 -174.6815625746710345173615508179842 -> 4.553072265122011176641590109568031E-148 Inexact Rounded
powx3720 power 0.0034393024010554821130553772681993 -93.60931598413919272595497100497364 -> 4.067468855817145539589988349449394E+230 Inexact Rounded
powx3721 power 63.32834072300379155053737260965633 -168.3926799435088324825751446957616 -> 4.207907835462640471617519501741094E-304 Inexact Rounded
powx3722 power 00.00216088174206276369011255907785 -70.12279562855442784757874508991013 -> 8.000657143378187029609343435067057E+186 Inexact Rounded
powx3723 power 934.5957982703545893572134393004375 -102.2287735565878252484031426026726 -> 2.073813769209257617246544424827240E-304 Inexact Rounded
powx3724 power 107.9116792558793921873995885441177 -44.11941092260869786313838181499158 -> 2.005476533631183268912552168759595E-90 Inexact Rounded
powx3725 power 0.0000000000188049827381428191769262 -19.32118917192242027966847501724073 -> 1.713174297100918857053338286389034E+207 Inexact Rounded
powx3726 power 614.9820907366248142166636259027728 -4.069913257030791586645250035698123 -> 4.462432572576935752713876293746717E-12 Inexact Rounded
powx3727 power 752.0655175769182096165651274049422 -22.59292060348797472013598378334370 -> 1.039881526694635205040192531504131E-65 Inexact Rounded
powx3728 power 72.20446632047659449616175456059013 -175.4705356401853924020842356605072 -> 7.529540175791582421966947814549028E-327 Inexact Rounded
powx3729 power 518.8346486600403405764055847937416 -65.87320268592761588756963215588232 -> 1.420189426992170936958891180073151E-179 Inexact Rounded
powx3730 power 3.457164372003960576453458502270716 -440.3201118177861273814529713443698 -> 6.176418595751201287186292664257369E-238 Inexact Rounded
powx3731 power 7.908352793344189720739467675503991 -298.6646112894719680394152664740255 -> 5.935857120229147638104675057695125E-269 Inexact Rounded
powx3732 power 0.0000004297399403788595027926075086 -22.66504617185071293588817501468339 -> 2.012270405520600820469665145636204E+144 Inexact Rounded
powx3733 power 0.0000008592124097322966354868716443 -9.913109586558030204789520190180906 -> 1.354958763843310237046818832755215E+60 Inexact Rounded
powx3734 power 161.4806080561258105880907470989925 -70.72907837434814261716311990271578 -> 6.632555003698945544941329872901929E-157 Inexact Rounded
powx3735 power 0.0000000090669568624173832705631918 -36.53759624613665940127058439106640 -> 7.161808401023414735428130112941559E+293 Inexact Rounded
powx3736 power 0.0000000000029440295978365709342752 -1.297354238738921988884421117731562 -> 911731060579291.7661267358872917380 Inexact Rounded
powx3737 power 21.37477220144832172175460425143692 -76.95949933640539226475686997477889 -> 4.481741242418091914011962399912885E-103 Inexact Rounded
powx3738 power 0.0000000000186657798201636342150903 -20.18296240350678245567049161730909 -> 3.483954007114900406906338526575672E+216 Inexact Rounded
powx3739 power 0.0006522464792960191985996959126792 -80.03762491483514679886504099194414 -> 9.266548513614215557228467517053035E+254 Inexact Rounded
powx3740 power 0.0000000032851343694200568966168055 -21.53462116926375512242403160008026 -> 4.873201679668455240861376213601189E+182 Inexact Rounded
-- P=16, within 0-99 -- negative arg2
Precision: 16
powx3601 power 0.0000151338748474 -40.84655618364688 -> 7.628470824137755E+196 Inexact Rounded
powx3602 power 0.1542771848654862 -435.8830009466800 -> 6.389817177800744E+353 Inexact Rounded
powx3603 power 48.28477749367364 -218.5929209902050 -> 8.531049532576154E-369 Inexact Rounded
powx3604 power 7.960775891584911 -12.78113732182505 -> 3.053270889769488E-12 Inexact Rounded
powx3605 power 0.9430340651863058 -9010.470056913748 -> 3.313374654923807E+229 Inexact Rounded
powx3606 power 0.0000202661501602 -65.57915207383306 -> 5.997379176536464E+307 Inexact Rounded
powx3607 power 04.33007440798390 -232.0476834666588 -> 2.007827183010456E-148 Inexact Rounded
powx3608 power 0.0000141944643914 -11.32407921958717 -> 7.902934485074846E+54 Inexact Rounded
powx3609 power 0.0000021977758261 -53.53706138253307 -> 8.195631772317815E+302 Inexact Rounded
powx3610 power 39.51297655474188 -19.40370976012326 -> 1.040699608072659E-31 Inexact Rounded
powx3611 power 38.71210232488775 -66.58341618227921 -> 1.886855066146495E-106 Inexact Rounded
powx3612 power 0.0000804235229062 -6.715207948992859 -> 3.134757864389333E+27 Inexact Rounded
powx3613 power 0.0000073547092399 -11.27725685719934 -> 7.781428390953695E+57 Inexact Rounded
powx3614 power 52.72181272599316 -186.1422311607435 -> 2.916601998744177E-321 Inexact Rounded
powx3615 power 0.0969519963083306 -280.8220862151369 -> 3.955906885970987E+284 Inexact Rounded
powx3616 power 94.07263302150081 -148.2031146071230 -> 3.361958990752490E-293 Inexact Rounded
powx3617 power 85.80286965053704 -90.21453695813759 -> 3.715602429645798E-175 Inexact Rounded
powx3618 power 03.52699858152259 -492.0414362539196 -> 4.507309220081092E-270 Inexact Rounded
powx3619 power 0.0508278086396068 -181.0871731572167 -> 2.034428013017949E+234 Inexact Rounded
powx3620 power 0.395576740303172 -915.5524507432392 -> 5.706585187437578E+368 Inexact Rounded
powx3621 power 38.06105826789202 -49.75913753435335 -> 2.273188991431738E-79 Inexact Rounded
powx3622 power 0.0003656748910646 -73.28988491310354 -> 7.768936940568763E+251 Inexact Rounded
powx3623 power 0.0000006373551809 -51.30825234200690 -> 7.697618167701985E+317 Inexact Rounded
powx3624 power 82.41729920673856 -35.73319631625699 -> 3.424042354585529E-69 Inexact Rounded
powx3625 power 0.7845821453127670 -971.4982028897663 -> 2.283415527661089E+102 Inexact Rounded
powx3626 power 4.840983673433497 -182.3730452370515 -> 1.220591407927770E-125 Inexact Rounded
powx3627 power 0.0000006137592139 -2.122139474431484 -> 15231217034839.29 Inexact Rounded
powx3628 power 0.0003657962862984 -35.97993782448099 -> 4.512701319250839E+123 Inexact Rounded
powx3629 power 40.93693004443150 -165.1362408792997 -> 6.044276411057239E-267 Inexact Rounded
powx3630 power 0.2941552583028898 -17.41046264945892 -> 1787833103.503346 Inexact Rounded
powx3631 power 63.99335135369977 -69.92417205168579 -> 5.099359804872509E-127 Inexact Rounded
powx3632 power 0.0000657924467388 -89.14497293588313 -> 6.145878266688521E+372 Inexact Rounded
powx3633 power 11.35071250339147 -323.3705865614542 -> 6.863626248766775E-342 Inexact Rounded
powx3634 power 23.88024718470895 -277.7117513329510 -> 2.006441422612815E-383 Inexact Rounded
powx3635 power 0.0000009111939914 -58.51782946929182 -> 2.954352883996773E+353 Inexact Rounded
powx3636 power 0.0000878179048782 -75.81060420238669 -> 3.306878455207585E+307 Inexact Rounded
powx3637 power 07.39190564273779 -287.5047307244636 -> 1.692080354659805E-250 Inexact Rounded
powx3638 power 0.0000298310819799 -1.844740377759355 -> 222874718.7238888 Inexact Rounded
powx3639 power 0.0000006412929384 -28.24850078229290 -> 8.737164230666529E+174 Inexact Rounded
powx3640 power 0.0000010202965998 -47.17573701956498 -> 4.392845306049341E+282 Inexact Rounded
-- P=7, within 0-9 -- negative arg2
Precision: 7
powx3501 power 0.326324 -71.96509 -> 1.000673E+35 Inexact Rounded
powx3502 power 0.0017635 -0.7186967 -> 95.28419 Inexact Rounded
powx3503 power 8.564155 -253.0899 -> 8.850512E-237 Inexact Rounded
powx3504 power 8.987272 -2.155789 -> 0.008793859 Inexact Rounded
powx3505 power 9.604856 -139.9630 -> 3.073492E-138 Inexact Rounded
powx3506 power 0.8472919 -2539.085 -> 5.372686E+182 Inexact Rounded
powx3507 power 5.312329 -60.32965 -> 1.753121E-44 Inexact Rounded
powx3508 power 0.0338294 -100.5440 -> 7.423939E+147 Inexact Rounded
powx3509 power 0.0017777 -130.8583 -> 7.565629E+359 Inexact Rounded
powx3510 power 8.016154 -405.5689 -> 2.395977E-367 Inexact Rounded
powx3511 power 5.016570 -327.8906 -> 2.203784E-230 Inexact Rounded
powx3512 power 0.8161743 -744.5276 -> 4.786899E+65 Inexact Rounded
powx3513 power 0.0666343 -164.7320 -> 5.951240E+193 Inexact Rounded
powx3514 power 0.0803966 -202.2666 -> 2.715512E+221 Inexact Rounded
powx3515 power 0.0014752 -12.55547 -> 3.518905E+35 Inexact Rounded
powx3516 power 9.737565 -14.69615 -> 2.975672E-15 Inexact Rounded
powx3517 power 0.6634172 -152.7308 -> 1.654458E+27 Inexact Rounded
powx3518 power 0.0009337 -33.32939 -> 9.575039E+100 Inexact Rounded
powx3519 power 8.679922 -224.4194 -> 2.392446E-211 Inexact Rounded
powx3520 power 7.390494 -161.9483 -> 2.088375E-141 Inexact Rounded
powx3521 power 0.4631489 -417.1673 -> 2.821106E+139 Inexact Rounded
powx3522 power 0.0095471 -7.677458 -> 3.231855E+15 Inexact Rounded
powx3523 power 6.566339 -176.1867 -> 9.965633E-145 Inexact Rounded
powx3524 power 2.696128 -26.15501 -> 5.419731E-12 Inexact Rounded
powx3525 power 0.4464366 -852.1893 -> 2.957725E+298 Inexact Rounded
powx3526 power 0.4772006 -921.4111 -> 1.118105E+296 Inexact Rounded
powx3527 power 8.923696 -359.2211 -> 3.501573E-342 Inexact Rounded
powx3528 power 0.0018008 -66.91252 -> 4.402718E+183 Inexact Rounded
powx3529 power 0.0811964 -92.83278 -> 1.701111E+101 Inexact Rounded
powx3530 power 0.0711219 -58.94347 -> 4.644148E+67 Inexact Rounded
powx3531 power 7.958121 -50.66123 -> 2.311161E-46 Inexact Rounded
powx3532 power 6.106466 -81.83610 -> 4.943285E-65 Inexact Rounded
powx3533 power 4.557634 -129.5268 -> 4.737917E-86 Inexact Rounded
powx3534 power 0.0027348 -9.180135 -> 3.383524E+23 Inexact Rounded
powx3535 power 0.0083924 -46.24016 -> 9.996212E+95 Inexact Rounded
powx3536 power 2.138523 -47.25897 -> 2.507009E-16 Inexact Rounded
powx3537 power 1.626728 -1573.830 -> 2.668117E-333 Inexact Rounded
powx3538 power 0.082615 -164.5842 -> 1.717882E+178 Inexact Rounded
powx3539 power 7.636003 -363.6763 -> 8.366174E-322 Inexact Rounded
powx3540 power 0.0021481 -138.0065 -> 1.562505E+368 Inexact Rounded
-- Invalid operations due to restrictions
-- [next two probably skipped by most test harnesses]
precision: 100000000
powx4001 power 1 1.1 -> NaN Invalid_context
precision: 99999999
powx4002 power 1 1.1 -> NaN Invalid_context
precision: 9
maxExponent: 1000000
minExponent: -999999
powx4003 power 1 1.1 -> NaN Invalid_context
maxExponent: 999999
minExponent: -999999
powx4004 power 1 1.1 -> 1.00000000 Inexact Rounded
maxExponent: 999999
minExponent: -1000000
powx4005 power 1 1.1 -> NaN Invalid_context
maxExponent: 999999
minExponent: -999998
powx4006 power 1 1.1 -> 1.00000000 Inexact Rounded
-- operand range violations
powx4007 power 1 1.1E+999999 -> 1
powx4008 power 1 1.1E+1000000 -> NaN Invalid_operation
powx4009 power 1.1E+999999 1.1 -> Infinity Overflow Inexact Rounded
powx4010 power 1.1E+1000000 1.1 -> NaN Invalid_operation
powx4011 power 1 1.1E-1999997 -> 1.00000000 Inexact Rounded
powx4012 power 1 1.1E-1999998 -> NaN Invalid_operation
powx4013 power 1.1E-1999997 1.1 -> 0E-1000006 Underflow Inexact Rounded Clamped Subnormal
powx4014 power 1.1E-1999998 1.1 -> NaN Invalid_operation
-- rounding modes -- power is sensitive
precision: 7
maxExponent: 99
minExponent: -99
-- 0.7 ** 3.3 => 0.30819354053418943822
-- 0.7 ** 3.4 => 0.29739477638272533854
-- -1.2 ** 17 => -22.18611106740436992
-- -1.3 ** 17 => -86.50415919381337933
-- 0.5 ** 11 => 0.00048828125
-- 3.15 ** 3 => 31.255875
rounding: up
powx4100 power 0.7 3.3 -> 0.3081936 Inexact Rounded
powx4101 power 0.7 3.4 -> 0.2973948 Inexact Rounded
powx4102 power -1.2 17 -> -22.18612 Inexact Rounded
powx4103 power -1.3 17 -> -86.50416 Inexact Rounded
powx4104 power 17 81.27115 -> 9.999974E+99 Inexact Rounded
powx4105 power 17 81.27116 -> Infinity Overflow Inexact Rounded
rounding: down
powx4120 power 0.7 3.3 -> 0.3081935 Inexact Rounded
powx4121 power 0.7 3.4 -> 0.2973947 Inexact Rounded
powx4122 power -1.2 17 -> -22.18611 Inexact Rounded
powx4123 power -1.3 17 -> -86.50415 Inexact Rounded
powx4124 power 17 81.27115 -> 9.999973E+99 Inexact Rounded
powx4125 power 17 81.27116 -> 9.999999E+99 Overflow Inexact Rounded
rounding: floor
powx4140 power 0.7 3.3 -> 0.3081935 Inexact Rounded
powx4141 power 0.7 3.4 -> 0.2973947 Inexact Rounded
powx4142 power -1.2 17 -> -22.18612 Inexact Rounded
powx4143 power -1.3 17 -> -86.50416 Inexact Rounded
powx4144 power 17 81.27115 -> 9.999973E+99 Inexact Rounded
powx4145 power 17 81.27116 -> 9.999999E+99 Overflow Inexact Rounded
rounding: ceiling
powx4160 power 0.7 3.3 -> 0.3081936 Inexact Rounded
powx4161 power 0.7 3.4 -> 0.2973948 Inexact Rounded
powx4162 power -1.2 17 -> -22.18611 Inexact Rounded
powx4163 power -1.3 17 -> -86.50415 Inexact Rounded
powx4164 power 17 81.27115 -> 9.999974E+99 Inexact Rounded
powx4165 power 17 81.27116 -> Infinity Overflow Inexact Rounded
rounding: half_up
powx4180 power 0.7 3.3 -> 0.3081935 Inexact Rounded
powx4181 power 0.7 3.4 -> 0.2973948 Inexact Rounded
powx4182 power -1.2 17 -> -22.18611 Inexact Rounded
powx4183 power -1.3 17 -> -86.50416 Inexact Rounded
powx4184 power 0.5 11 -> 0.0004882813 Inexact Rounded
powx4185 power 3.15 3 -> 31.25588 Inexact Rounded
powx4186 power 17 81.27115 -> 9.999974E+99 Inexact Rounded
powx4187 power 17 81.27116 -> Infinity Overflow Inexact Rounded
rounding: half_even
powx4200 power 0.7 3.3 -> 0.3081935 Inexact Rounded
powx4201 power 0.7 3.4 -> 0.2973948 Inexact Rounded
powx4202 power -1.2 17 -> -22.18611 Inexact Rounded
powx4203 power -1.3 17 -> -86.50416 Inexact Rounded
powx4204 power 0.5 11 -> 0.0004882812 Inexact Rounded
powx4205 power 3.15 3 -> 31.25588 Inexact Rounded
powx4206 power 17 81.27115 -> 9.999974E+99 Inexact Rounded
powx4207 power 17 81.27116 -> Infinity Overflow Inexact Rounded
rounding: half_down
powx4220 power 0.7 3.3 -> 0.3081935 Inexact Rounded
powx4221 power 0.7 3.4 -> 0.2973948 Inexact Rounded
powx4222 power -1.2 17 -> -22.18611 Inexact Rounded
powx4223 power -1.3 17 -> -86.50416 Inexact Rounded
powx4224 power 0.5 11 -> 0.0004882812 Inexact Rounded
powx4225 power 3.15 3 -> 31.25587 Inexact Rounded
powx4226 power -3.15 3 -> -31.25587 Inexact Rounded
powx4227 power 17 81.27115 -> 9.999974E+99 Inexact Rounded
powx4228 power 17 81.27116 -> Infinity Overflow Inexact Rounded
-- more rounding tests as per Ilan Nehama's suggestions & analysis
-- these are likely to show > 0.5 ulp error for very small powers
precision: 7
maxExponent: 96
minExponent: -95
-- For x=nextfp(1)=1.00..001 (where the number of 0s is precision-2)
-- power(x,y)=x when the rounding is up (e.g., toward_pos_inf or
-- ceil) for any y in (0,1].
rounding: ceiling
powx4301 power 1.000001 0 -> 1
-- The next test should be skipped for decNumber
powx4302 power 1.000001 1e-101 -> 1.000001 Inexact Rounded
-- The next test should be skipped for decNumber
powx4303 power 1.000001 1e-95 -> 1.000001 Inexact Rounded
powx4304 power 1.000001 1e-10 -> 1.000001 Inexact Rounded
powx4305 power 1.000001 0.1 -> 1.000001 Inexact Rounded
powx4306 power 1.000001 0.1234567 -> 1.000001 Inexact Rounded
powx4307 power 1.000001 0.7 -> 1.000001 Inexact Rounded
powx4308 power 1.000001 0.9999999 -> 1.000001 Inexact Rounded
powx4309 power 1.000001 1.000000 -> 1.000001
-- power(x,y)=1 when the rounding is down (e.g. toward_zero or
-- floor) for any y in [0,1).
rounding: floor
powx4321 power 1.000001 0 -> 1
powx4322 power 1.000001 1e-101 -> 1.000000 Inexact Rounded
powx4323 power 1.000001 1e-95 -> 1.000000 Inexact Rounded
powx4324 power 1.000001 1e-10 -> 1.000000 Inexact Rounded
powx4325 power 1.000001 0.1 -> 1.000000 Inexact Rounded
powx4326 power 1.000001 0.1234567 -> 1.000000 Inexact Rounded
powx4327 power 1.000001 0.7 -> 1.000000 Inexact Rounded
powx4328 power 1.000001 0.9999999 -> 1.000000 Inexact Rounded
powx4329 power 1.000001 1.000000 -> 1.000001
-- For x=prevfp(1)=0.99..99 (where the number of 9s is precision)
-- power(x,y)=x when the rounding is down for any y in (0,1].
rounding: floor
powx4341 power 0.9999999 0 -> 1
-- The next test should be skipped for decNumber
powx4342 power 0.9999999 1e-101 -> 0.9999999 Inexact Rounded
-- The next test should be skipped for decNumber
powx4343 power 0.9999999 1e-95 -> 0.9999999 Inexact Rounded
powx4344 power 0.9999999 1e-10 -> 0.9999999 Inexact Rounded
powx4345 power 0.9999999 0.1 -> 0.9999999 Inexact Rounded
powx4346 power 0.9999999 0.1234567 -> 0.9999999 Inexact Rounded
powx4347 power 0.9999999 0.7 -> 0.9999999 Inexact Rounded
powx4348 power 0.9999999 0.9999999 -> 0.9999999 Inexact Rounded
powx4349 power 0.9999999 1.000000 -> 0.9999999
-- power(x,y)=1 when the rounding is up for any y in (0,1].
rounding: ceiling
powx4361 power 0.9999999 0 -> 1
powx4362 power 0.9999999 1e-101 -> 1.000000 Inexact Rounded
powx4363 power 0.9999999 1e-95 -> 1.000000 Inexact Rounded
powx4364 power 0.9999999 1e-10 -> 1.000000 Inexact Rounded
powx4365 power 0.9999999 0.1 -> 1.000000 Inexact Rounded
powx4366 power 0.9999999 0.1234567 -> 1.000000 Inexact Rounded
powx4367 power 0.9999999 0.7 -> 1.000000 Inexact Rounded
powx4368 power 0.9999999 0.9999999 -> 1.000000 Inexact Rounded
powx4369 power 0.9999999 1.000000 -> 0.9999999
-- For x=nextfp(0)
-- power(x,y)=0 when the rounding is down for any y larger than 1.
rounding: floor
powx4382 power 1e-101 0 -> 1
powx4383 power 1e-101 0.9999999 -> 1E-101 Underflow Subnormal Inexact Rounded
powx4384 power 1e-101 1.000000 -> 1E-101 Subnormal
powx4385 power 1e-101 1.000001 -> 0E-101 Underflow Subnormal Inexact Rounded Clamped
powx4386 power 1e-101 2.000000 -> 0E-101 Underflow Subnormal Inexact Rounded Clamped