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agriconnect / libpython3.8-testsuite deb
Repository URL to install this package:
Version:
3.8.5-1+stretch1
Version:
3.8.5-1+stretch1
/ usr / lib / python3.8 / test / decimaltestdata / power.decTest
------------------------------------------------------------------------
-- power.decTest -- decimal exponentiation [power(x, y)] --
-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases" --
-- at http://www2.hursley.ibm.com/decimal for the description of --
-- these testcases. --
-- --
-- These testcases are experimental ('beta' versions), and they --
-- may contain errors. They are offered on an as-is basis. In --
-- particular, achieving the same results as the tests here is not --
-- a guarantee that an implementation complies with any Standard --
-- or specification. The tests are not exhaustive. --
-- --
-- Please send comments, suggestions, and corrections to the author: --
-- Mike Cowlishaw, IBM Fellow --
-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
-- mfc@uk.ibm.com --
------------------------------------------------------------------------
version: 2.59
-- 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)
extended: 1
precision: 16
rounding: half_even
maxExponent: 384
minExponent: -383
-- base checks. Note 0**0 is an error.
powx001 power '0' '0' -> NaN Invalid_operation
powx002 power '0' '1' -> '0'
powx003 power '0' '2' -> '0'
powx004 power '1' '0' -> '1'
powx005 power '1' '1' -> '1'
powx006 power '1' '2' -> '1'
powx010 power '2' '0' -> '1'
powx011 power '2' '1' -> '2'
powx012 power '2' '2' -> '4'
powx013 power '2' '3' -> '8'
powx014 power '2' '4' -> '16'
powx015 power '2' '5' -> '32'
powx016 power '2' '6' -> '64'
powx017 power '2' '7' -> '128'
powx018 power '2' '8' -> '256'
powx019 power '2' '9' -> '512'
powx020 power '2' '10' -> '1024'
powx021 power '2' '11' -> '2048'
powx022 power '2' '12' -> '4096'
powx023 power '2' '15' -> '32768'
powx024 power '2' '16' -> '65536'
powx025 power '2' '31' -> '2147483648'
-- NB 0 not stripped in next
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
precision: 10
powx029 power '2' '31' -> '2147483648'
powx030 power '2' '32' -> '4294967296'
precision: 9
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
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
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
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'
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
-- "0.5" tests from original Rexx diagnostics [loop unrolled]
powx200 power 0.5 0 -> 1
powx201 power 0.5 1 -> 0.5
powx202 power 0.5 2 -> 0.25
powx203 power 0.5 3 -> 0.125
powx204 power 0.5 4 -> 0.0625
powx205 power 0.5 5 -> 0.03125
powx206 power 0.5 6 -> 0.015625
powx207 power 0.5 7 -> 0.0078125
powx208 power 0.5 8 -> 0.00390625
powx209 power 0.5 9 -> 0.001953125
powx210 power 0.5 10 -> 0.0009765625
powx211 power 1 100000000 -> 1
powx212 power 1 999999998 -> 1
powx213 power 1 999999999 -> 1
-- 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
maxexponent: 5000
minexponent: -5000
powx219 power '123456789E+10' '-1.23000e+2' -> '5.54E-2226' Inexact Rounded
-- zeros
maxexponent: +96
minexponent: -95
precision: 7
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
-- a few lhs negatives
precision: 9
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
-- some more edge cases
precision: 15
maxExponent: 999
minexponent: -999
powx391 power 0.1 999 -> 1E-999
powx392 power 0.099 999 -> 4.360732062E-1004 Underflow Subnormal Inexact Rounded
powx393 power 0.098 999 -> 1.71731E-1008 Underflow Subnormal Inexact Rounded
powx394 power 0.097 999 -> 6E-1013 Underflow Subnormal Inexact Rounded
powx395 power 0.096 999 -> 0E-1013 Underflow Subnormal Inexact Rounded Clamped
powx396 power 0.01 999 -> 0E-1013 Underflow Subnormal Inexact Rounded Clamped
powx397 power 0.02 100000000 -> 0E-1013 Underflow Subnormal Inexact Rounded Clamped
-- multiply tests are here to aid checking and test for consistent handling
-- of underflow
precision: 5
maxexponent: 999
minexponent: -999
-- squares
mulx400 multiply 1E-502 1e-502 -> 0E-1003 Subnormal Inexact Underflow Rounded Clamped
mulx401 multiply 1E-501 1e-501 -> 1E-1002 Subnormal
mulx402 multiply 2E-501 2e-501 -> 4E-1002 Subnormal
mulx403 multiply 4E-501 4e-501 -> 1.6E-1001 Subnormal
mulx404 multiply 10E-501 10e-501 -> 1.00E-1000 Subnormal
mulx405 multiply 30E-501 30e-501 -> 9.00E-1000 Subnormal
mulx406 multiply 40E-501 40e-501 -> 1.600E-999
powx400 power 1E-502 2 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
powx401 power 1E-501 2 -> 1E-1002 Subnormal
powx402 power 2E-501 2 -> 4E-1002 Subnormal
powx403 power 4E-501 2 -> 1.6E-1001 Subnormal
powx404 power 10E-501 2 -> 1.00E-1000 Subnormal
powx405 power 30E-501 2 -> 9.00E-1000 Subnormal
powx406 power 40E-501 2 -> 1.600E-999
-- cubes
mulx410 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
mulx411 multiply 1E-668 1e-334 -> 1E-1002 Subnormal
mulx412 multiply 4E-668 2e-334 -> 8E-1002 Subnormal
mulx413 multiply 9E-668 3e-334 -> 2.7E-1001 Subnormal
mulx414 multiply 16E-668 4e-334 -> 6.4E-1001 Subnormal
mulx415 multiply 25E-668 5e-334 -> 1.25E-1000 Subnormal
mulx416 multiply 10E-668 100e-334 -> 1.000E-999
powx410 power 1E-335 3 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
powx411 power 1E-334 3 -> 1E-1002 Subnormal
powx412 power 2E-334 3 -> 8E-1002 Subnormal
powx413 power 3E-334 3 -> 2.7E-1001 Subnormal
powx414 power 4E-334 3 -> 6.4E-1001 Subnormal
powx415 power 5E-334 3 -> 1.25E-1000 Subnormal
powx416 power 10E-334 3 -> 1.000E-999
-- negative powers, testing subnormals
precision: 5
maxExponent: 999
minexponent: -999
powx421 power 2.5E-501 -2 -> Infinity Overflow Inexact Rounded
powx422 power 2.5E-500 -2 -> 1.6E+999
powx423 power 2.5E+499 -2 -> 1.6E-999
powx424 power 2.5E+500 -2 -> 1.6E-1001 Subnormal
powx425 power 2.5E+501 -2 -> 2E-1003 Underflow Subnormal Inexact Rounded
powx426 power 2.5E+502 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
powx427 power 0.25E+499 -2 -> 1.6E-997
powx428 power 0.25E+500 -2 -> 1.6E-999
powx429 power 0.25E+501 -2 -> 1.6E-1001 Subnormal
powx430 power 0.25E+502 -2 -> 2E-1003 Underflow Subnormal Inexact Rounded
powx431 power 0.25E+503 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
powx432 power 0.04E+499 -2 -> 6.25E-996
powx433 power 0.04E+500 -2 -> 6.25E-998
powx434 power 0.04E+501 -2 -> 6.25E-1000 Subnormal
powx435 power 0.04E+502 -2 -> 6.2E-1002 Underflow Subnormal Inexact Rounded
powx436 power 0.04E+503 -2 -> 1E-1003 Underflow Subnormal Inexact Rounded
powx437 power 0.04E+504 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
powx441 power 0.04E+334 -3 -> 1.5625E-998
powx442 power 0.04E+335 -3 -> 1.56E-1001 Underflow Subnormal Inexact Rounded
powx443 power 0.04E+336 -3 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
powx444 power 0.25E+333 -3 -> 6.4E-998
powx445 power 0.25E+334 -3 -> 6.4E-1001 Subnormal
powx446 power 0.25E+335 -3 -> 1E-1003 Underflow Subnormal Inexact Rounded
powx447 power 0.25E+336 -3 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
-- check sign for cubes and a few squares
powx448 power -0.04E+334 -3 -> -1.5625E-998
powx449 power -0.04E+335 -3 -> -1.56E-1001 Underflow Subnormal Inexact Rounded
powx450 power -0.04E+336 -3 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
powx451 power -0.25E+333 -3 -> -6.4E-998
powx452 power -0.25E+334 -3 -> -6.4E-1001 Subnormal
powx453 power -0.25E+335 -3 -> -1E-1003 Underflow Subnormal Inexact Rounded
powx454 power -0.25E+336 -3 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
powx455 power -0.04E+499 -2 -> 6.25E-996
powx456 power -0.04E+500 -2 -> 6.25E-998
powx457 power -0.04E+501 -2 -> 6.25E-1000 Subnormal
powx458 power -0.04E+502 -2 -> 6.2E-1002 Underflow Subnormal Inexact Rounded
-- test -0s
precision: 9
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