| ------------------------------------------------------------------------ |
| -- 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 |
| 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 |
| powx570 power -0 1 -> -0 |
| powx571 power -0 -1 -> -Infinity |
| powx572 power 0 2 -> 0 |
| powx573 power 0 -2 -> Infinity |
| powx574 power -0 2 -> 0 |
| powx575 power -0 -2 -> Infinity |
| powx576 power 0 3 -> 0 |
| powx577 power 0 -3 -> Infinity |
| powx578 power -0 3 -> -0 |
| powx579 power -0 -3 -> -Infinity |
| |
| -- Specials |
| powx580 power Inf -Inf -> 0 |
| powx581 power Inf -1000 -> 0 |
| powx582 power Inf -1 -> 0 |
| 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 |
| |
| powx600 power -Inf -Inf -> NaN Invalid_operation |
| powx601 power -Inf -1000 -> 0 |
| powx602 power -Inf -1 -> -0 |
| 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 |
| powx622 power NaN -1000 -> NaN |
| powx623 power NaN -1 -> NaN |
| 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 |
| |
| powx641 power sNaN -Inf -> NaN Invalid_operation |
| powx642 power sNaN -1000 -> NaN Invalid_operation |
| powx643 power sNaN -1 -> NaN Invalid_operation |
| powx644 power sNaN -0.5 -> 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 |
| |
| -- NaN propagation |
| 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 |
| |
| -- 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 |
| |
| 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 |
| 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 |
| |
| ---------------------------------------------------------------------- |
| -- 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 |
