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✏️ power.decTest
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------------------------------------------------------------------------ -- 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
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