652 lines
31 KiB
Plaintext
652 lines
31 KiB
Plaintext
----------------------------------------------------------------------
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-- power.decTest -- decimal exponentiation --
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-- Copyright (c) IBM Corporation, 1981, 2003. All rights reserved. --
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------------------------------------------------------------------------
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-- Please see the document "General Decimal Arithmetic Testcases" --
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-- at http://www2.hursley.ibm.com/decimal for the description of --
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-- these testcases. --
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-- --
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-- These testcases are experimental ('beta' versions), and they --
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-- may contain errors. They are offered on an as-is basis. In --
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-- particular, achieving the same results as the tests here is not --
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-- a guarantee that an implementation complies with any Standard --
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-- or specification. The tests are not exhaustive. --
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-- --
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-- Please send comments, suggestions, and corrections to the author: --
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-- Mike Cowlishaw, IBM Fellow --
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-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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-- mfc@uk.ibm.com --
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------------------------------------------------------------------------
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version: 2.38
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-- This set of testcases tests raising numbers to an integer power only.
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-- If arbitrary powers were supported, 1 ulp differences would be
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-- permitted.
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extended: 1
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precision: 9
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rounding: half_up
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maxExponent: 999
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minexponent: -999
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-- base checks. Note 0**0 is an error.
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powx001 power '0' '0' -> NaN Invalid_operation
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powx002 power '0' '1' -> '0'
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powx003 power '0' '2' -> '0'
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powx004 power '1' '0' -> '1'
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powx005 power '1' '1' -> '1'
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powx006 power '1' '2' -> '1'
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powx010 power '2' '0' -> '1'
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powx011 power '2' '1' -> '2'
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powx012 power '2' '2' -> '4'
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powx013 power '2' '3' -> '8'
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powx014 power '2' '4' -> '16'
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powx015 power '2' '5' -> '32'
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powx016 power '2' '6' -> '64'
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powx017 power '2' '7' -> '128'
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powx018 power '2' '8' -> '256'
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powx019 power '2' '9' -> '512'
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powx020 power '2' '10' -> '1024'
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powx021 power '2' '11' -> '2048'
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powx022 power '2' '12' -> '4096'
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powx023 power '2' '15' -> '32768'
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powx024 power '2' '16' -> '65536'
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powx025 power '2' '31' -> '2.14748365E+9' Inexact Rounded
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-- NB 0 not stripped in next
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powx026 power '2' '32' -> '4.29496730E+9' Inexact Rounded
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precision: 10
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powx027 power '2' '31' -> '2147483648'
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powx028 power '2' '32' -> '4294967296'
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precision: 9
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powx030 power '3' '2' -> 9
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powx031 power '4' '2' -> 16
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powx032 power '5' '2' -> 25
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powx033 power '6' '2' -> 36
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powx034 power '7' '2' -> 49
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powx035 power '8' '2' -> 64
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powx036 power '9' '2' -> 81
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powx037 power '10' '2' -> 100
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powx038 power '11' '2' -> 121
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powx039 power '12' '2' -> 144
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powx040 power '3' '3' -> 27
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powx041 power '4' '3' -> 64
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powx042 power '5' '3' -> 125
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powx043 power '6' '3' -> 216
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powx044 power '7' '3' -> 343
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powx050 power '10' '0' -> 1
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powx051 power '10' '1' -> 10
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powx052 power '10' '2' -> 100
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powx053 power '10' '3' -> 1000
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powx054 power '10' '4' -> 10000
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powx055 power '10' '5' -> 100000
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powx056 power '10' '6' -> 1000000
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powx057 power '10' '7' -> 10000000
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powx058 power '10' '8' -> 100000000
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powx059 power '10' '9' -> 1.00000000E+9 Rounded
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powx060 power '10' '22' -> 1.00000000E+22 Rounded
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powx061 power '10' '77' -> 1.00000000E+77 Rounded
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powx062 power '10' '99' -> 1.00000000E+99 Rounded
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maxexponent: 999999999
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minexponent: -999999999
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powx063 power '10' '999999999' -> '1.00000000E+999999999' Rounded
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powx064 power '10' '999999998' -> '1.00000000E+999999998' Rounded
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powx065 power '10' '999999997' -> '1.00000000E+999999997' Rounded
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powx066 power '10' '333333333' -> '1.00000000E+333333333' Rounded
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powx070 power '0.3' '0' -> '1'
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powx071 power '0.3' '1' -> '0.3'
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powx072 power '0.3' '1.00' -> '0.3'
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powx073 power '0.3' '2.00' -> '0.09'
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powx074 power '0.3' '2.000000000' -> '0.09'
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powx075 power '6.0' '1' -> '6.0' -- NB zeros not stripped
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powx076 power '6.0' '2' -> '36.00' -- ..
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powx077 power '-3' '2' -> '9' -- from NetRexx book
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powx078 power '4' '3' -> '64' -- .. (sort of)
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powx080 power 0.1 0 -> 1
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powx081 power 0.1 1 -> 0.1
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powx082 power 0.1 2 -> 0.01
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powx083 power 0.1 3 -> 0.001
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powx084 power 0.1 4 -> 0.0001
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powx085 power 0.1 5 -> 0.00001
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powx086 power 0.1 6 -> 0.000001
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powx087 power 0.1 7 -> 1E-7
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powx088 power 0.1 8 -> 1E-8
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powx089 power 0.1 9 -> 1E-9
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powx090 power 101 2 -> 10201
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powx091 power 101 3 -> 1030301
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powx092 power 101 4 -> 104060401
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powx093 power 101 5 -> 1.05101005E+10 Inexact Rounded
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powx094 power 101 6 -> 1.06152015E+12 Inexact Rounded
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powx095 power 101 7 -> 1.07213535E+14 Inexact Rounded
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-- negative powers
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powx101 power '2' '-1' -> 0.5
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powx102 power '2' '-2' -> 0.25
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powx103 power '2' '-4' -> 0.0625
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powx104 power '2' '-8' -> 0.00390625
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powx105 power '2' '-16' -> 0.0000152587891 Inexact Rounded
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powx106 power '2' '-32' -> 2.32830644E-10 Inexact Rounded
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powx108 power '2' '-64' -> 5.42101086E-20 Inexact Rounded
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powx110 power '10' '-8' -> 1E-8
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powx111 power '10' '-7' -> 1E-7
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powx112 power '10' '-6' -> 0.000001
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powx113 power '10' '-5' -> 0.00001
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powx114 power '10' '-4' -> 0.0001
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powx115 power '10' '-3' -> 0.001
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powx116 power '10' '-2' -> 0.01
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powx117 power '10' '-1' -> 0.1
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powx118 power '10' '-333333333' -> 1E-333333333
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powx119 power '10' '-999999998' -> 1E-999999998
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powx120 power '10' '-999999999' -> 1E-999999999
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powx121 power '10' '-77' -> '1E-77'
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powx122 power '10' '-22' -> '1E-22'
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powx123 power '2' '-1' -> '0.5'
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powx124 power '2' '-2' -> '0.25'
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powx125 power '2' '-4' -> '0.0625'
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powx126 power '0' '-1' -> Infinity Division_by_zero
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powx127 power '0' '-2' -> Infinity Division_by_zero
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powx128 power -0 '-1' -> -Infinity Division_by_zero
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powx129 power -0 '-2' -> Infinity Division_by_zero
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-- out-of-range edge cases
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powx181 power '7' '999999998' -> 2.10892313E+845098038 Inexact Rounded
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powx182 power '7' '999999999' -> 1.47624619E+845098039 Inexact Rounded
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powx183 power '7' '1000000000' -> NaN Invalid_operation
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powx184 power '7' '1000000001' -> NaN Invalid_operation
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powx185 power '7' '10000000000' -> NaN Invalid_operation
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powx186 power '7' '-1000000001' -> NaN Invalid_operation
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powx187 power '7' '-1000000000' -> NaN Invalid_operation
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powx189 power '7' '-999999999' -> 6.77393787E-845098040 Inexact Rounded
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powx190 power '7' '-999999998' -> 4.74175651E-845098039 Inexact Rounded
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-- some baddies [more below]
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powx191 power '2' '2.000001' -> NaN Invalid_operation
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powx192 power '2' '2.00000000' -> 4
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powx193 power '2' '2.000000001' -> NaN Invalid_operation
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powx194 power '2' '2.0000000001' -> NaN Invalid_operation
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-- "0.5" tests from original Rexx diagnostics [loop unrolled]
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powx200 power 0.5 0 -> 1
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powx201 power 0.5 1 -> 0.5
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powx202 power 0.5 2 -> 0.25
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powx203 power 0.5 3 -> 0.125
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powx204 power 0.5 4 -> 0.0625
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powx205 power 0.5 5 -> 0.03125
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powx206 power 0.5 6 -> 0.015625
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powx207 power 0.5 7 -> 0.0078125
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powx208 power 0.5 8 -> 0.00390625
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powx209 power 0.5 9 -> 0.001953125
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powx210 power 0.5 10 -> 0.0009765625
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-- A (rare) case where the last digit is not within 0.5 ULP
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precision: 9
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powx215 power "-21971575.0E+31454441" "-7" -> "-4.04549503E-220181139" Inexact Rounded
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precision: 20
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powx216 power "-21971575.0E+31454441" "-7" -> "-4.0454950249324891788E-220181139" Inexact Rounded
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-- The Vienna case. Checks both setup and 1/acc working precision
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-- Modified 1998.12.14 as RHS no longer rounded before use (must fit)
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-- Modified 1990.02.04 as LHS is now rounded (instead of truncated to guard)
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-- '123456789E+10' -- lhs .. rounded to 1.23E+18
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-- '-1.23000e+2' -- rhs .. [was: -1.23455e+2, rounds to -123]
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-- Modified 2002.10.06 -- finally, no input rounding
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-- With input rounding, result would be 8.74E-2226
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precision: 3
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powx219 power '123456789E+10' '-1.23000e+2' -> '5.54E-2226' Inexact Rounded
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-- whole number checks
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precision: 9
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powx221 power 1 1234 -> 1
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precision: 4
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powx222 power 1 1234 -> 1
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precision: 3
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powx223 power 1 1234 -> 1
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powx224 power 1 12.34e+2 -> 1
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powx225 power 1 12.3 -> NaN Invalid_operation
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powx226 power 1 12.0 -> 1
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powx227 power 1 1.01 -> NaN Invalid_operation
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powx228 power 2 1.00 -> 2
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powx229 power 2 2.00 -> 4
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precision: 9
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powx230 power 1 1.0001 -> NaN Invalid_operation
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powx231 power 1 1.0000001 -> NaN Invalid_operation
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powx232 power 1 1.0000000001 -> NaN Invalid_operation
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powx233 power 1 1.0000000000001 -> NaN Invalid_operation
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precision: 5
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powx234 power 1 1.0001 -> NaN Invalid_operation
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powx235 power 1 1.0000001 -> NaN Invalid_operation
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powx236 power 1 1.0000000001 -> NaN Invalid_operation
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powx237 power 1 1.0000000000001 -> NaN Invalid_operation
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powx238 power 1 1.0000000000001 -> NaN Invalid_operation
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maxexponent: 999999999
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minexponent: -999999999
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powx239 power 1 5.67E-987654321 -> NaN Invalid_operation
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powx240 power 1 100000000 -> 1
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powx241 power 1 999999998 -> 1
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powx242 power 1 999999999 -> 1
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powx243 power 1 1000000000 -> NaN Invalid_operation
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powx244 power 1 9999999999 -> NaN Invalid_operation
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-- Checks for 'Too much precision needed'
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-- For x^12, digits+elength+1 = digits+3
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precision: 999999999
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powx249 add 1 1 -> 2 -- check basic operation at this precision
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powx250 power 2 12 -> Infinity Overflow
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precision: 999999998
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powx251 power 2 12 -> Infinity Overflow
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precision: 999999997
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powx252 power 2 12 -> Infinity Overflow
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precision: 999999996
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powx253 power 2 12 -> 4096
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precision: 999999995
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powx254 power 2 12 -> 4096
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-- zeros
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maxexponent: +96
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minexponent: -95
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precision: 7
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powx260 power 0E-34 3 -> 0E-101 Clamped
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powx261 power 0E-33 3 -> 0E-99
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powx262 power 0E-32 3 -> 0E-96
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powx263 power 0E-30 3 -> 0E-90
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powx264 power 0E-10 3 -> 0E-30
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powx265 power 0E-1 3 -> 0.000
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powx266 power 0E+0 3 -> 0
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powx267 power 0 3 -> 0
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powx268 power 0E+1 3 -> 0E+3
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powx269 power 0E+10 3 -> 0E+30
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powx270 power 0E+30 3 -> 0E+90
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powx271 power 0E+32 3 -> 0E+96
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powx272 power 0E+33 3 -> 0E+96 Clamped
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-- overflow and underflow tests
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maxexponent: 999999999
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minexponent: -999999999
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precision: 9
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powx280 power 9 999999999 -> 3.05550054E+954242508 Inexact Rounded
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powx281 power 10 999999999 -> 1.00000000E+999999999 Rounded
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powx282 power 10.0001 999999999 -> Infinity Overflow Inexact Rounded
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powx283 power 10.1 999999999 -> Infinity Overflow Inexact Rounded
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powx284 power 11 999999999 -> Infinity Overflow Inexact Rounded
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powx285 power 12 999999999 -> Infinity Overflow Inexact Rounded
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powx286 power 999 999999999 -> Infinity Overflow Inexact Rounded
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powx287 power 999999 999999999 -> Infinity Overflow Inexact Rounded
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powx288 power 999999999 999999999 -> Infinity Overflow Inexact Rounded
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powx289 power 9.9E999999999 999999999 -> Infinity Overflow Inexact Rounded
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powx290 power 0.5 999999999 -> 4.33559594E-301029996 Inexact Rounded
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powx291 power 0.1 999999999 -> 1E-999999999 -- unrounded
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powx292 power 0.09 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx293 power 0.05 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx294 power 0.01 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx295 power 0.0001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx297 power 0.0000001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx298 power 0.0000000001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx299 power 1E-999999999 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx310 power -9 999999999 -> -3.05550054E+954242508 Inexact Rounded
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powx311 power -10 999999999 -> -1.00000000E+999999999 Rounded
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powx312 power -10.0001 999999999 -> -Infinity Overflow Inexact Rounded
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powx313 power -10.1 999999999 -> -Infinity Overflow Inexact Rounded
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powx314 power -11 999999999 -> -Infinity Overflow Inexact Rounded
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powx315 power -12 999999999 -> -Infinity Overflow Inexact Rounded
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powx316 power -999 999999999 -> -Infinity Overflow Inexact Rounded
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powx317 power -999999 999999999 -> -Infinity Overflow Inexact Rounded
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powx318 power -999999999 999999999 -> -Infinity Overflow Inexact Rounded
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powx319 power -9.9E999999999 999999999 -> -Infinity Overflow Inexact Rounded
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powx320 power -0.5 999999999 -> -4.33559594E-301029996 Inexact Rounded
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powx321 power -0.1 999999999 -> -1E-999999999
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powx322 power -0.09 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx323 power -0.05 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx324 power -0.01 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx325 power -0.0001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx327 power -0.0000001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx328 power -0.0000000001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx329 power -1E-999999999 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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-- note no trim of next result
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powx330 power -9 999999998 -> 3.39500060E+954242507 Inexact Rounded
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powx331 power -10 999999998 -> 1.00000000E+999999998 Rounded
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powx332 power -10.0001 999999998 -> Infinity Overflow Inexact Rounded
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powx333 power -10.1 999999998 -> Infinity Overflow Inexact Rounded
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powx334 power -11 999999998 -> Infinity Overflow Inexact Rounded
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powx335 power -12 999999998 -> Infinity Overflow Inexact Rounded
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powx336 power -999 999999998 -> Infinity Overflow Inexact Rounded
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powx337 power -999999 999999998 -> Infinity Overflow Inexact Rounded
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powx338 power -999999999 999999998 -> Infinity Overflow Inexact Rounded
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powx339 power -9.9E999999999 999999998 -> Infinity Overflow Inexact Rounded
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powx340 power -0.5 999999998 -> 8.67119187E-301029996 Inexact Rounded
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powx341 power -0.1 999999998 -> 1E-999999998 -- NB exact unrounded
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powx342 power -0.09 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx343 power -0.05 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx344 power -0.01 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx345 power -0.0001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx347 power -0.0000001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx348 power -0.0000000001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx349 power -1E-999999999 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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-- some subnormals
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precision: 9
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-- [precision is 9, so smallest exponent is -1000000007
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powx350 power 1e-1 500000000 -> 1E-500000000
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powx351 power 1e-2 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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powx352 power 1e-2 500000000 -> 1E-1000000000 Subnormal
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powx353 power 1e-2 500000001 -> 1E-1000000002 Subnormal
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powx354 power 1e-2 500000002 -> 1E-1000000004 Subnormal
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powx355 power 1e-2 500000003 -> 1E-1000000006 Subnormal
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powx356 power 1e-2 500000004 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
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powx360 power 0.010001 500000000 -> 4.34941988E-999978287 Inexact Rounded
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powx361 power 0.010000001 500000000 -> 5.18469257E-999999979 Inexact Rounded
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powx362 power 0.010000001 500000001 -> 5.18469309E-999999981 Inexact Rounded
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powx363 power 0.0100000009 500000000 -> 3.49342003E-999999981 Inexact Rounded
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powx364 power 0.0100000001 500000000 -> 1.48413155E-999999998 Inexact Rounded
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powx365 power 0.01 500000000 -> 1E-1000000000 Subnormal
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powx366 power 0.0099999999 500000000 -> 6.7379E-1000000003 Underflow Subnormal Inexact Rounded
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powx367 power 0.0099999998 500000000 -> 4.54E-1000000005 Underflow Subnormal Inexact Rounded
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powx368 power 0.0099999997 500000000 -> 3E-1000000007 Underflow Subnormal Inexact Rounded
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powx369 power 0.0099999996 500000000 -> 0E-1000000007 Underflow Subnormal Inexact Rounded
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powx370 power 0.009 500000000 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped
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-- 1/subnormal -> overflow
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powx371 power 1e-1 -500000000 -> 1E+500000000
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powx372 power 1e-2 -999999999 -> Infinity Overflow Inexact Rounded
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powx373 power 1e-2 -500000000 -> Infinity Overflow Inexact Rounded
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powx374 power 1e-2 -500000001 -> Infinity Overflow Inexact Rounded
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powx375 power 1e-2 -500000002 -> Infinity Overflow Inexact Rounded
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powx376 power 1e-2 -500000003 -> Infinity Overflow Inexact Rounded
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powx377 power 1e-2 -500000004 -> Infinity Overflow Inexact Rounded
|
|
|
|
powx381 power 0.010001 -500000000 -> 2.29915719E+999978286 Inexact Rounded
|
|
powx382 power 0.010000001 -500000000 -> 1.92875467E+999999978 Inexact Rounded
|
|
powx383 power 0.010000001 -500000001 -> 1.92875448E+999999980 Inexact Rounded
|
|
powx384 power 0.0100000009 -500000000 -> 2.86252438E+999999980 Inexact Rounded
|
|
powx385 power 0.0100000001 -500000000 -> 6.73794717E+999999997 Inexact Rounded
|
|
powx386 power 0.01 -500000000 -> Infinity Overflow Inexact Rounded
|
|
powx387 power 0.009999 -500000000 -> Infinity Overflow Inexact Rounded
|
|
|
|
-- negative power giving subnormal
|
|
powx388 power 100.000001 -500000000 -> 6.7379E-1000000003 Underflow Subnormal Inexact Rounded
|
|
|
|
-- some more edge cases
|
|
precision: 15
|
|
maxExponent: 999
|
|
minexponent: -999
|
|
powx391 power 0.1 999 -> 1E-999
|
|
powx392 power 0.099 999 -> 4.360732062E-1004 Underflow Subnormal Inexact Rounded
|
|
powx393 power 0.098 999 -> 1.71731E-1008 Underflow Subnormal Inexact Rounded
|
|
powx394 power 0.097 999 -> 6E-1013 Underflow Subnormal Inexact Rounded
|
|
powx395 power 0.096 999 -> 0E-1013 Underflow Subnormal Inexact Rounded
|
|
powx396 power 0.01 999 -> 0E-1013 Underflow Subnormal Inexact Rounded Clamped
|
|
|
|
-- multiply tests are here to aid checking and test for consistent handling
|
|
-- of underflow
|
|
precision: 5
|
|
maxexponent: 999
|
|
minexponent: -999
|
|
|
|
-- squares
|
|
mulx400 multiply 1E-502 1e-502 -> 0E-1003 Subnormal Inexact Underflow Rounded
|
|
mulx401 multiply 1E-501 1e-501 -> 1E-1002 Subnormal
|
|
mulx402 multiply 2E-501 2e-501 -> 4E-1002 Subnormal
|
|
mulx403 multiply 4E-501 4e-501 -> 1.6E-1001 Subnormal
|
|
mulx404 multiply 10E-501 10e-501 -> 1.00E-1000 Subnormal
|
|
mulx405 multiply 30E-501 30e-501 -> 9.00E-1000 Subnormal
|
|
mulx406 multiply 40E-501 40e-501 -> 1.600E-999
|
|
|
|
powx400 power 1E-502 2 -> 0E-1003 Underflow Subnormal Inexact Rounded
|
|
powx401 power 1E-501 2 -> 1E-1002 Subnormal
|
|
powx402 power 2E-501 2 -> 4E-1002 Subnormal
|
|
powx403 power 4E-501 2 -> 1.6E-1001 Subnormal
|
|
powx404 power 10E-501 2 -> 1.00E-1000 Subnormal
|
|
powx405 power 30E-501 2 -> 9.00E-1000 Subnormal
|
|
powx406 power 40E-501 2 -> 1.600E-999
|
|
|
|
-- cubes
|
|
mulx410 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded
|
|
mulx411 multiply 1E-668 1e-334 -> 1E-1002 Subnormal
|
|
mulx412 multiply 4E-668 2e-334 -> 8E-1002 Subnormal
|
|
mulx413 multiply 9E-668 3e-334 -> 2.7E-1001 Subnormal
|
|
mulx414 multiply 16E-668 4e-334 -> 6.4E-1001 Subnormal
|
|
mulx415 multiply 25E-668 5e-334 -> 1.25E-1000 Subnormal
|
|
mulx416 multiply 10E-668 100e-334 -> 1.000E-999
|
|
|
|
powx410 power 1E-335 3 -> 0E-1003 Underflow Subnormal Inexact Rounded
|
|
powx411 power 1E-334 3 -> 1E-1002 Subnormal
|
|
powx412 power 2E-334 3 -> 8E-1002 Subnormal
|
|
powx413 power 3E-334 3 -> 2.7E-1001 Subnormal
|
|
powx414 power 4E-334 3 -> 6.4E-1001 Subnormal
|
|
powx415 power 5E-334 3 -> 1.25E-1000 Subnormal
|
|
powx416 power 10E-334 3 -> 1.000E-999
|
|
|
|
-- negative powers, testing subnormals
|
|
precision: 5
|
|
maxExponent: 999
|
|
minexponent: -999
|
|
powx421 power 2.5E-501 -2 -> Infinity Overflow Inexact Rounded
|
|
powx422 power 2.5E-500 -2 -> 1.6E+999
|
|
|
|
powx423 power 2.5E+499 -2 -> 1.6E-999
|
|
powx424 power 2.5E+500 -2 -> 1.6E-1001 Subnormal
|
|
powx425 power 2.5E+501 -2 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|
powx426 power 2.5E+502 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded
|
|
|
|
powx427 power 0.25E+499 -2 -> 1.6E-997
|
|
powx428 power 0.25E+500 -2 -> 1.6E-999
|
|
powx429 power 0.25E+501 -2 -> 1.6E-1001 Subnormal
|
|
powx430 power 0.25E+502 -2 -> 2E-1003 Underflow Subnormal Inexact Rounded
|
|
powx431 power 0.25E+503 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded
|
|
|
|
powx432 power 0.04E+499 -2 -> 6.25E-996
|
|
powx433 power 0.04E+500 -2 -> 6.25E-998
|
|
powx434 power 0.04E+501 -2 -> 6.25E-1000 Subnormal
|
|
powx435 power 0.04E+502 -2 -> 6.3E-1002 Underflow Subnormal Inexact Rounded
|
|
powx436 power 0.04E+503 -2 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|
powx437 power 0.04E+504 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded
|
|
|
|
powx441 power 0.04E+334 -3 -> 1.5625E-998
|
|
powx442 power 0.04E+335 -3 -> 1.56E-1001 Underflow Subnormal Inexact Rounded
|
|
powx443 power 0.04E+336 -3 -> 0E-1003 Underflow Subnormal Inexact Rounded
|
|
powx444 power 0.25E+333 -3 -> 6.4E-998
|
|
powx445 power 0.25E+334 -3 -> 6.4E-1001 Subnormal
|
|
powx446 power 0.25E+335 -3 -> 1E-1003 Underflow Subnormal Inexact Rounded
|
|
powx447 power 0.25E+336 -3 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|
-- check sign for cubes and a few squares
|
|
powx448 power -0.04E+334 -3 -> -1.5625E-998
|
|
powx449 power -0.04E+335 -3 -> -1.56E-1001 Underflow Subnormal Inexact Rounded
|
|
powx450 power -0.04E+336 -3 -> -0E-1003 Underflow Subnormal Inexact Rounded
|
|
powx451 power -0.25E+333 -3 -> -6.4E-998
|
|
powx452 power -0.25E+334 -3 -> -6.4E-1001 Subnormal
|
|
powx453 power -0.25E+335 -3 -> -1E-1003 Underflow Subnormal Inexact Rounded
|
|
powx454 power -0.25E+336 -3 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped
|
|
powx455 power -0.04E+499 -2 -> 6.25E-996
|
|
powx456 power -0.04E+500 -2 -> 6.25E-998
|
|
powx457 power -0.04E+501 -2 -> 6.25E-1000 Subnormal
|
|
powx458 power -0.04E+502 -2 -> 6.3E-1002 Underflow Subnormal Inexact Rounded
|
|
|
|
-- test -0s
|
|
precision: 9
|
|
powx560 power 0 0 -> NaN Invalid_operation
|
|
powx561 power 0 -0 -> NaN Invalid_operation
|
|
powx562 power -0 0 -> NaN Invalid_operation
|
|
powx563 power -0 -0 -> NaN Invalid_operation
|
|
powx564 power 1 0 -> 1
|
|
powx565 power 1 -0 -> 1
|
|
powx566 power -1 0 -> 1
|
|
powx567 power -1 -0 -> 1
|
|
powx568 power 0 1 -> 0
|
|
powx569 power 0 -1 -> Infinity Division_by_zero
|
|
powx570 power -0 1 -> -0
|
|
powx571 power -0 -1 -> -Infinity Division_by_zero
|
|
powx572 power 0 2 -> 0
|
|
powx573 power 0 -2 -> Infinity Division_by_zero
|
|
powx574 power -0 2 -> 0
|
|
powx575 power -0 -2 -> Infinity Division_by_zero
|
|
powx576 power 0 3 -> 0
|
|
powx577 power 0 -3 -> Infinity Division_by_zero
|
|
powx578 power -0 3 -> -0
|
|
powx579 power -0 -3 -> -Infinity Division_by_zero
|
|
|
|
-- Specials
|
|
powx580 power Inf -Inf -> NaN Invalid_operation
|
|
powx581 power Inf -1000 -> 0
|
|
powx582 power Inf -1 -> 0
|
|
powx583 power Inf -0 -> 1
|
|
powx584 power Inf 0 -> 1
|
|
powx585 power Inf 1 -> Infinity
|
|
powx586 power Inf 1000 -> Infinity
|
|
powx587 power Inf Inf -> NaN Invalid_operation
|
|
powx588 power -1000 Inf -> NaN Invalid_operation
|
|
powx589 power -Inf Inf -> NaN Invalid_operation
|
|
powx590 power -1 Inf -> NaN Invalid_operation
|
|
powx591 power -0 Inf -> NaN Invalid_operation
|
|
powx592 power 0 Inf -> NaN Invalid_operation
|
|
powx593 power 1 Inf -> NaN Invalid_operation
|
|
powx594 power 1000 Inf -> NaN Invalid_operation
|
|
powx595 power Inf Inf -> NaN Invalid_operation
|
|
|
|
powx600 power -Inf -Inf -> NaN Invalid_operation
|
|
powx601 power -Inf -1000 -> 0
|
|
powx602 power -Inf -1 -> -0
|
|
powx603 power -Inf -0 -> 1
|
|
powx604 power -Inf 0 -> 1
|
|
powx605 power -Inf 1 -> -Infinity
|
|
powx606 power -Inf 1000 -> Infinity
|
|
powx607 power -Inf Inf -> NaN Invalid_operation
|
|
powx608 power -1000 Inf -> NaN Invalid_operation
|
|
powx609 power -Inf -Inf -> NaN Invalid_operation
|
|
powx610 power -1 -Inf -> NaN Invalid_operation
|
|
powx611 power -0 -Inf -> NaN Invalid_operation
|
|
powx612 power 0 -Inf -> NaN Invalid_operation
|
|
powx613 power 1 -Inf -> NaN Invalid_operation
|
|
powx614 power 1000 -Inf -> NaN Invalid_operation
|
|
powx615 power Inf -Inf -> NaN Invalid_operation
|
|
|
|
powx621 power NaN -Inf -> NaN Invalid_operation
|
|
powx622 power NaN -1000 -> NaN
|
|
powx623 power NaN -1 -> NaN
|
|
powx624 power NaN -0 -> NaN
|
|
powx625 power NaN 0 -> NaN
|
|
powx626 power NaN 1 -> NaN
|
|
powx627 power NaN 1000 -> NaN
|
|
powx628 power NaN Inf -> NaN Invalid_operation
|
|
powx629 power NaN NaN -> NaN
|
|
powx630 power -Inf NaN -> NaN
|
|
powx631 power -1000 NaN -> NaN
|
|
powx632 power -1 NaN -> NaN
|
|
powx633 power -0 NaN -> NaN
|
|
powx634 power 0 NaN -> NaN
|
|
powx635 power 1 NaN -> NaN
|
|
powx636 power 1000 NaN -> NaN
|
|
powx637 power Inf NaN -> NaN
|
|
|
|
powx641 power sNaN -Inf -> NaN Invalid_operation
|
|
powx642 power sNaN -1000 -> NaN Invalid_operation
|
|
powx643 power sNaN -1 -> NaN Invalid_operation
|
|
powx644 power sNaN -0 -> NaN Invalid_operation
|
|
powx645 power sNaN 0 -> NaN Invalid_operation
|
|
powx646 power sNaN 1 -> NaN Invalid_operation
|
|
powx647 power sNaN 1000 -> NaN Invalid_operation
|
|
powx648 power sNaN NaN -> NaN Invalid_operation
|
|
powx649 power sNaN sNaN -> NaN Invalid_operation
|
|
powx650 power NaN sNaN -> NaN Invalid_operation
|
|
powx651 power -Inf sNaN -> NaN Invalid_operation
|
|
powx652 power -1000 sNaN -> NaN Invalid_operation
|
|
powx653 power -1 sNaN -> NaN Invalid_operation
|
|
powx654 power -0 sNaN -> NaN Invalid_operation
|
|
powx655 power 0 sNaN -> NaN Invalid_operation
|
|
powx656 power 1 sNaN -> NaN Invalid_operation
|
|
powx657 power 1000 sNaN -> NaN Invalid_operation
|
|
powx658 power Inf sNaN -> NaN Invalid_operation
|
|
powx659 power NaN sNaN -> NaN Invalid_operation
|
|
|
|
-- NaN propagation
|
|
powx660 power NaN3 sNaN7 -> NaN7 Invalid_operation
|
|
powx661 power sNaN8 NaN6 -> NaN8 Invalid_operation
|
|
powx662 power 1 sNaN7 -> NaN7 Invalid_operation
|
|
powx663 power sNaN8 1 -> NaN8 Invalid_operation
|
|
powx664 power Inf sNaN7 -> NaN7 Invalid_operation
|
|
powx665 power sNaN8 Inf -> NaN Invalid_operation
|
|
powx666 power Inf NaN9 -> NaN9
|
|
powx667 power NaN6 Inf -> NaN Invalid_operation
|
|
powx668 power 1 NaN5 -> NaN5
|
|
powx669 power NaN2 1 -> NaN2
|
|
powx670 power NaN2 Nan4 -> NaN2
|
|
powx671 power NaN Nan4 -> NaN
|
|
powx672 power NaN345 Nan -> NaN345
|
|
powx673 power Inf -sNaN7 -> -NaN7 Invalid_operation
|
|
powx674 power -sNaN8 Inf -> NaN Invalid_operation
|
|
powx675 power Inf -NaN9 -> -NaN9
|
|
powx676 power -NaN6 Inf -> NaN Invalid_operation
|
|
powx677 power -NaN2 -Nan4 -> -NaN2
|
|
|
|
-- Examples from extended specification
|
|
powx690 power Inf -2 -> 0
|
|
powx691 power Inf -1 -> 0
|
|
powx692 power Inf 0 -> 1
|
|
powx693 power Inf 1 -> Infinity
|
|
powx694 power Inf 2 -> Infinity
|
|
powx695 power -Inf -2 -> 0
|
|
powx696 power -Inf -1 -> -0
|
|
powx697 power -Inf 0 -> 1
|
|
powx698 power -Inf 1 -> -Infinity
|
|
powx699 power -Inf 2 -> Infinity
|
|
powx700 power 0 0 -> NaN Invalid_operation
|
|
|
|
-- long operand and RHS range checks
|
|
maxexponent: 999
|
|
minexponent: -999
|
|
precision: 9
|
|
powx701 power 12345678000 1 -> 1.23456780E+10 Rounded
|
|
powx702 power 1234567800 1 -> 1.23456780E+9 Rounded
|
|
powx703 power 1234567890 1 -> 1.23456789E+9 Rounded
|
|
powx704 power 1234567891 1 -> 1.23456789E+9 Inexact Rounded
|
|
powx705 power 12345678901 1 -> 1.23456789E+10 Inexact Rounded
|
|
powx706 power 1234567896 1 -> 1.23456790E+9 Inexact Rounded
|
|
powx707 power 1 12345678000 -> NaN Invalid_operation
|
|
powx708 power 1 1234567800 -> NaN Invalid_operation
|
|
powx709 power 1 1234567890 -> NaN Invalid_operation
|
|
powx710 power 1 11234567891 -> NaN Invalid_operation
|
|
powx711 power 1 12345678901 -> NaN Invalid_operation
|
|
powx712 power 1 1234567896 -> NaN Invalid_operation
|
|
powx713 power 1 -1234567896 -> NaN Invalid_operation
|
|
powx714 power 1 1000000000 -> NaN Invalid_operation
|
|
powx715 power 1 -1000000000 -> NaN Invalid_operation
|
|
|
|
precision: 15
|
|
-- still checking
|
|
powx741 power 12345678000 1 -> 12345678000
|
|
powx742 power 1234567800 1 -> 1234567800
|
|
powx743 power 1234567890 1 -> 1234567890
|
|
powx744 power 1234567891 1 -> 1234567891
|
|
powx745 power 12345678901 1 -> 12345678901
|
|
powx746 power 1234567896 1 -> 1234567896
|
|
powx747 power 1 12345678000 -> NaN Invalid_operation
|
|
powx748 power 1 -1234567896 -> NaN Invalid_operation
|
|
powx749 power 1 1000000000 -> NaN Invalid_operation
|
|
powx740 power 1 -1000000000 -> NaN Invalid_operation
|
|
|
|
-- check for double-rounded subnormals
|
|
precision: 5
|
|
maxexponent: 79
|
|
minexponent: -79
|
|
powx750 power 1.2347E-40 2 -> 1.524E-80 Inexact Rounded Subnormal Underflow
|
|
|
|
-- Null tests
|
|
powx900 power 1 # -> NaN Invalid_operation
|
|
powx901 power # 1 -> NaN Invalid_operation
|
|
|