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prodejna/qdecimal/test/tc_subset/power0.decTest

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------------------------------------------------------------------------
-- power0.decTest -- decimal exponentiation (simplified) --
-- 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: 2.58
-- This set of testcases tests raising numbers to an integer power only.
-- If arbitrary powers were supported, 1 ulp differences would be
-- permitted.
extended: 0
precision: 9
rounding: half_up
maxExponent: 999
minexponent: -999
pow001 power '0' '0' -> '1'
pow002 power '0' '1' -> '0'
pow003 power '0' '2' -> '0'
pow004 power '1' '0' -> '1'
pow005 power '1' '1' -> '1'
pow006 power '1' '2' -> '1'
pow010 power '2' '0' -> '1'
pow011 power '2' '1' -> '2'
pow012 power '2' '2' -> '4'
pow013 power '2' '3' -> '8'
pow014 power '2' '4' -> '16'
pow015 power '2' '5' -> '32'
pow016 power '2' '6' -> '64'
pow017 power '2' '7' -> '128'
pow018 power '2' '8' -> '256'
pow019 power '2' '9' -> '512'
pow020 power '2' '10' -> '1024'
pow021 power '2' '11' -> '2048'
pow022 power '2' '12' -> '4096'
pow023 power '2' '15' -> '32768'
pow024 power '2' '16' -> '65536'
pow025 power '2' '31' -> '2.14748365E+9' Inexact Rounded
-- NB 0 stripped in next
pow026 power '2' '32' -> '4.2949673E+9' Inexact Rounded
precision: 10
pow027 power '2' '31' -> '2147483648'
pow028 power '2' '32' -> '4294967296'
precision: 9
pow030 power '3' '2' -> 9
pow031 power '4' '2' -> 16
pow032 power '5' '2' -> 25
pow033 power '6' '2' -> 36
pow034 power '7' '2' -> 49
pow035 power '8' '2' -> 64
pow036 power '9' '2' -> 81
pow037 power '10' '2' -> 100
pow038 power '11' '2' -> 121
pow039 power '12' '2' -> 144
pow040 power '3' '3' -> 27
pow041 power '4' '3' -> 64
pow042 power '5' '3' -> 125
pow043 power '6' '3' -> 216
pow044 power '7' '3' -> 343
pow050 power '10' '0' -> 1
pow051 power '10' '1' -> 10
pow052 power '10' '2' -> 100
pow053 power '10' '3' -> 1000
pow054 power '10' '4' -> 10000
pow055 power '10' '5' -> 100000
pow056 power '10' '6' -> 1000000
pow057 power '10' '7' -> 10000000
pow058 power '10' '8' -> 100000000
pow059 power '10' '9' -> 1E+9 Rounded
pow060 power '10' '22' -> 1E+22 Rounded
pow061 power '10' '77' -> 1E+77 Rounded
pow062 power '10' '99' -> 1E+99 Rounded
maxexponent: 999999999
minexponent: -999999999
pow063 power '10' '999999999' -> '1E+999999999' Rounded
pow064 power '10' '999999998' -> '1E+999999998' Rounded
pow065 power '10' '999999997' -> '1E+999999997' Rounded
pow066 power '10' '333333333' -> '1E+333333333' Rounded
maxexponent: 999999
minexponent: -999999
pow070 power '0.3' '0' -> '1'
pow071 power '0.3' '1' -> '0.3'
pow072 power '0.3' '1.00' -> '0.3'
pow073 power '0.3' '2.00' -> '0.09'
pow074 power '0.3' '2.000000000' -> '0.09' Rounded
pow075 power '6.0' '2' -> '36'
pow076 power '-3' '2' -> '9' -- from NetRexx book
pow077 power '4' '3' -> '64' -- .. (sort of)
pow080 power 0.1 0 -> 1
pow081 power 0.1 1 -> 0.1
pow082 power 0.1 2 -> 0.01
pow083 power 0.1 3 -> 0.001
pow084 power 0.1 4 -> 0.0001
pow085 power 0.1 5 -> 0.00001
pow086 power 0.1 6 -> 0.000001
pow087 power 0.1 7 -> 1E-7
pow088 power 0.1 8 -> 1E-8
pow089 power 0.1 9 -> 1E-9
pow090 power 101 2 -> 10201
pow091 power 101 3 -> 1030301
pow092 power 101 4 -> 104060401
pow093 power 101 5 -> 1.05101005E+10 Inexact Rounded
pow094 power 101 6 -> 1.06152015E+12 Inexact Rounded
pow095 power 101 7 -> 1.07213535E+14 Inexact Rounded
-- negative powers
pow100 power '0' '-1' -> ? Invalid_operation
pow101 power '2' '-1' -> 0.5
pow102 power '2' '-2' -> 0.25
pow103 power '2' '-4' -> 0.0625
pow104 power '2' '-8' -> 0.00390625
pow105 power '2' '-16' -> 0.0000152587891 Inexact Rounded
pow106 power '2' '-32' -> 2.32830644E-10 Inexact Rounded
pow108 power '2' '-64' -> 5.42101086E-20 Inexact Rounded
pow110 power '10' '-8' -> 1E-8
pow111 power '10' '-7' -> 1E-7
pow112 power '10' '-6' -> 0.000001
pow113 power '10' '-5' -> 0.00001
pow114 power '10' '-4' -> 0.0001
pow115 power '10' '-3' -> 0.001
pow116 power '10' '-2' -> 0.01
pow117 power '10' '-1' -> 0.1
maxexponent: 999999999
minexponent: -999999999
pow118 power '10' '-333333333' -> 1E-333333333 Rounded
pow119 power '10' '-999999998' -> 1E-999999998 Rounded
pow120 power '10' '-999999999' -> 1E-999999999 Rounded
maxexponent: 999999
minexponent: -999999
pow121 power '10' '-77' -> '1E-77' Rounded
pow122 power '10' '-22' -> '1E-22' Rounded
pow123 power '2' '-1' -> '0.5'
pow124 power '2' '-2' -> '0.25'
pow125 power '2' '-4' -> '0.0625'
pow126 power '0' '-1' -> ? Invalid_operation
pow127 power '0' '-2' -> ? Invalid_operation
-- out-of-range edge cases
maxexponent: 999999999
minexponent: -999999999
pow181 power '7' '999999998' -> 2.10892313E+845098038 Inexact Rounded
pow182 power '7' '999999999' -> 1.47624619E+845098039 Inexact Rounded
pow183 power '7' '1000000000' -> ? Invalid_context Rounded
pow184 power '7' '1000000001' -> ? Invalid_context Inexact Lost_digits Rounded
pow186 power '7' '-1000000001' -> 9.67705411E-845098041 Inexact Lost_digits Rounded
pow187 power '7' '-1000000000' -> 9.67705411E-845098041 Inexact Rounded
pow189 power '7' '-999999999' -> 6.77393787E-845098040 Inexact Rounded
pow190 power '7' '-999999998' -> 4.74175651E-845098039 Inexact Rounded
maxexponent: 999999
minexponent: -999999
-- "0.5" tests from original Rexx diagnostics [loop unrolled]
pow200 power 0.5 0 -> 1
pow201 power 0.5 1 -> 0.5
pow202 power 0.5 2 -> 0.25
pow203 power 0.5 3 -> 0.125
pow204 power 0.5 4 -> 0.0625
pow205 power 0.5 5 -> 0.03125
pow206 power 0.5 6 -> 0.015625
pow207 power 0.5 7 -> 0.0078125
pow208 power 0.5 8 -> 0.00390625
pow209 power 0.5 9 -> 0.001953125
pow210 power 0.5 10 -> 0.0009765625
-- A (rare) case where the last digit is not within 0.5 ULP
maxexponent: 999999999
minexponent: -999999999
precision: 9
pow215 power "-21971575.0E+31454441" "-7" -> "-4.04549502E-220181139" Inexact Rounded
precision: 20
pow216 power "-21971575.0E+31454441" "-7" -> "-4.0454950249324891788E-220181139" Inexact Rounded
maxexponent: 999999
minexponent: -999999
-- 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]
-- Without the input rounding, result would be 5.54E-2226
precision: 3
pow220 power '123456789E+10' '-1.23000e+2' -> '8.74E-2226' Inexact Lost_digits Rounded
precision: 5
pow240 power 1 99999 -> 1
pow241 power 1 100000 -> 1 Rounded
pow242 power 1 100001 -> 1 Inexact Rounded Lost_digits
pow243 power 1 1000000000 -> 1 Rounded
pow244 power 1 9999999999 -> 1 Inexact Rounded Lost_digits
-- Checks for 'Too much precision needed'
-- For x^12, digits+elength+1 = digits+3
precision: 999999999
--SSC: pow249 add 1 1 -> 2 -- check basic operation at this precision
pow250 power 2 12 -> ? Overflow
precision: 999999998
pow251 power 2 12 -> ? Overflow
precision: 999999997
pow252 power 2 12 -> ? Overflow
precision: 999999996
pow253 power 2 12 -> 4096
precision: 999999995
pow254 power 2 12 -> 4096
-- overflow and underflow tests
maxexponent: 999999999
minexponent: -999999999
precision: 9
pow260 power 9 999999999 -> 3.05550054E+954242508 Inexact Rounded
pow261 power 10 999999999 -> 1E+999999999 Rounded
pow262 power 10.0001 999999999 -> ? Overflow Inexact Rounded
pow263 power 10.1 999999999 -> ? Overflow Inexact Rounded
pow264 power 11 999999999 -> ? Overflow Inexact Rounded
pow265 power 12 999999999 -> ? Overflow Inexact Rounded
pow266 power 999 999999999 -> ? Overflow Inexact Rounded
pow267 power 999999 999999999 -> ? Overflow Inexact Rounded
pow268 power 999999999 999999999 -> ? Overflow Inexact Rounded
pow269 power 9.9E999999999 999999999 -> ? Overflow Inexact Rounded
pow270 power 0.5 999999999 -> 4.33559594E-301029996 Inexact Rounded
pow271 power 0.1 999999999 -> 1E-999999999
pow272 power 0.09 999999999 -> ? Underflow Subnormal Inexact Rounded
pow273 power 0.05 999999999 -> ? Underflow Subnormal Inexact Rounded
pow274 power 0.01 999999999 -> ? Underflow Subnormal Inexact Rounded
pow275 power 0.0001 999999999 -> ? Underflow Subnormal Inexact Rounded
pow277 power 0.0000001 999999999 -> ? Underflow Subnormal Inexact Rounded
pow278 power 0.0000000001 999999999 -> ? Underflow Subnormal Inexact Rounded
pow279 power 1E-999999999 999999999 -> ? Underflow Subnormal Inexact Rounded
pow310 power -9 999999999 -> -3.05550054E+954242508 Inexact Rounded
pow311 power -10 999999999 -> -1E+999999999 Rounded
pow312 power -10.0001 999999999 -> ? Overflow Inexact Rounded
pow313 power -10.1 999999999 -> ? Overflow Inexact Rounded
pow314 power -11 999999999 -> ? Overflow Inexact Rounded
pow315 power -12 999999999 -> ? Overflow Inexact Rounded
pow316 power -999 999999999 -> ? Overflow Inexact Rounded
pow317 power -999999 999999999 -> ? Overflow Inexact Rounded
pow318 power -999999999 999999999 -> ? Overflow Inexact Rounded
pow319 power -9.9E999999999 999999999 -> ? Overflow Inexact Rounded
pow320 power -0.5 999999999 -> -4.33559594E-301029996 Inexact Rounded
pow321 power -0.1 999999999 -> -1E-999999999
pow322 power -0.09 999999999 -> ? Underflow Subnormal Inexact Rounded
pow323 power -0.05 999999999 -> ? Underflow Subnormal Inexact Rounded
pow324 power -0.01 999999999 -> ? Underflow Subnormal Inexact Rounded
pow325 power -0.0001 999999999 -> ? Underflow Subnormal Inexact Rounded
pow327 power -0.0000001 999999999 -> ? Underflow Subnormal Inexact Rounded
pow328 power -0.0000000001 999999999 -> ? Underflow Subnormal Inexact Rounded
pow329 power -1E-999999999 999999999 -> ? Underflow Subnormal Inexact Rounded
pow330 power -9 999999998 -> 3.3950006E+954242507 Inexact Rounded
pow331 power -10 999999998 -> 1E+999999998 Rounded
pow332 power -10.0001 999999998 -> ? Overflow Inexact Rounded
pow333 power -10.1 999999998 -> ? Overflow Inexact Rounded
pow334 power -11 999999998 -> ? Overflow Inexact Rounded
pow335 power -12 999999998 -> ? Overflow Inexact Rounded
pow336 power -999 999999998 -> ? Overflow Inexact Rounded
pow337 power -999999 999999998 -> ? Overflow Inexact Rounded
pow338 power -999999999 999999998 -> ? Overflow Inexact Rounded
pow339 power -9.9E999999999 999999998 -> ? Overflow Inexact Rounded
pow340 power -0.5 999999998 -> 8.67119187E-301029996 Inexact Rounded
pow341 power -0.1 999999998 -> 1E-999999998
pow342 power -0.09 999999998 -> ? Underflow Subnormal Inexact Rounded
pow343 power -0.05 999999998 -> ? Underflow Subnormal Inexact Rounded
pow344 power -0.01 999999998 -> ? Underflow Subnormal Inexact Rounded
pow345 power -0.0001 999999998 -> ? Underflow Subnormal Inexact Rounded
pow347 power -0.0000001 999999998 -> ? Underflow Subnormal Inexact Rounded
pow348 power -0.0000000001 999999998 -> ? Underflow Subnormal Inexact Rounded
pow349 power -1E-999999999 999999998 -> ? Underflow Subnormal Inexact Rounded
-- lostDigits and RHS range checks
maxexponent: 999
minexponent: -999
precision: 9
pow401 power 12345678000 1 -> 1.2345678E+10 Rounded
pow402 power 1234567800 1 -> 1.2345678E+9 Rounded
pow403 power 1234567890 1 -> 1.23456789E+9 Rounded
pow404 power 1234567891 1 -> 1.23456789E+9 Inexact Lost_digits Rounded
pow405 power 12345678901 1 -> 1.23456789E+10 Inexact Lost_digits Rounded
pow406 power 1234567896 1 -> 1.2345679E+9 Inexact Lost_digits Rounded
precision: 15
-- still checking for [no] lostDigits
pow441 power 12345678000 1 -> 12345678000
pow442 power 1234567800 1 -> 1234567800
pow443 power 1234567890 1 -> 1234567890
pow444 power 1234567891 1 -> 1234567891
pow445 power 12345678901 1 -> 12345678901
pow446 power 1234567896 1 -> 1234567896
pow447 power 1 12345678000 -> 1
pow448 power 1 -1234567896 -> 1
pow449 power 1 1000000000 -> 1
pow440 power 1 -1000000000 -> 1
-- Null tests
pow500 power 1 # -> ? Invalid_operation
pow501 power # 1 -> ? Invalid_operation
----------------------------------------------------------------------
-- 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 flag most of the following tests as Invalid. --
----------------------------------------------------------------------
precision: 16
rounding: half_up
maxExponent: 384
minExponent: -383
pow2000 power 7 '10000000000' -> ? Overflow Inexact Rounded
pow2001 power 2 '2.000001' -> 4.000002772589683 Inexact Rounded
pow2002 power 2 '2.00000000' -> 4
pow2003 power 2 '2.000000001' -> 4.000000002772589 Inexact Rounded
pow2004 power 2 '2.0000000001' -> 4.000000000277259 Inexact Rounded
pow2005 power 2 '2.00000000001' -> 4.000000000027726 Inexact Rounded
pow2006 power 2 '2.000000000001' -> 4.000000000002773 Inexact Rounded
pow2007 power 2 '2.0000000000001' -> 4.000000000000277 Inexact Rounded
pow2008 power 2 '2.00000000000001' -> 4.000000000000028 Inexact Rounded
pow2009 power 2 '2.000000000000001' -> 4.000000000000003 Inexact Rounded
pow2010 power 2 '2.0000000000000001' -> 4 Inexact Rounded Lost_digits
-- 1 234567890123456
pow2011 power 1 1234 -> 1
precision: 4
pow2012 power 1 1234 -> 1
precision: 3
pow2013 power 1 1234 -> 1 Inexact Rounded Lost_digits
pow2014 power 1 12.34e+2 -> 1 Inexact Rounded Lost_digits
pow2015 power 1 12.3 -> 1 Inexact Rounded
pow2016 power 1 12.0 -> 1
pow2017 power 1 1.01 -> 1 Inexact Rounded
pow2018 power 2 1.00 -> 2
pow2019 power 2 2.00 -> 4
precision: 9
pow2030 power 1 1.0001 -> 1 Inexact Rounded
pow2031 power 1 1.0000001 -> 1 Inexact Rounded
pow2032 power 1 1.0000000001 -> 1 Inexact Rounded Lost_digits
pow2033 power 1 1.0000000000001 -> 1 Inexact Rounded Lost_digits
precision: 5
pow2034 power 1 1.0001 -> 1 Inexact Rounded
pow2035 power 1 1.0000001 -> 1 Inexact Rounded Lost_digits
pow2036 power 1 1.0000000001 -> 1 Inexact Rounded Lost_digits
pow2037 power 1 1.0000000000001 -> 1 Inexact Rounded Lost_digits
pow2038 power 1 1.0000000000001 -> 1 Inexact Rounded Lost_digits
-- 1 ** big integer should be exact if no input rounding
precision: 15
pow2041 power 1 1000000000 -> 1
pow2042 power 1 9999999999 -> 1
pow2043 power 1 12345678000 -> 1
pow2044 power 1 1234567800 -> 1
pow2045 power 1 1234567890 -> 1
pow2046 power 1 11234567891 -> 1
pow2047 power 1 12345678901 -> 1
pow2048 power 1 1234567896 -> 1
pow2049 power 1 -1234567896 -> 1
pow2051 power 1 1000000000 -> 1
pow2052 power 1 -1000000000 -> 1
pow2053 power 1 12345678000 -> 1
pow2054 power 1 -1234567896 -> 1
pow2055 power 1 1000000000 -> 1
pow2056 power 1 -1000000000 -> 1
-- (Other x**y results tested in power.decTest)
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