---------------------------------------------------------------------- -- power.decTest -- decimal exponentiation -- -- Copyright (c) IBM Corporation, 1981, 2003. 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: 2.39 -- This set of testcases tests raising numbers to an integer power only. -- If arbitrary powers were supported, 1 ulp differences would be -- permitted. extended: 1 precision: 9 rounding: half_up maxExponent: 999 minexponent: -999 -- 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' -> '2.14748365E+9' Inexact Rounded -- NB 0 not stripped in next powx026 power '2' '32' -> '4.29496730E+9' Inexact Rounded precision: 10 powx027 power '2' '31' -> '2147483648' powx028 power '2' '32' -> '4294967296' precision: 9 powx030 power '3' '2' -> 9 powx031 power '4' '2' -> 16 powx032 power '5' '2' -> 25 powx033 power '6' '2' -> 36 powx034 power '7' '2' -> 49 powx035 power '8' '2' -> 64 powx036 power '9' '2' -> 81 powx037 power '10' '2' -> 100 powx038 power '11' '2' -> 121 powx039 power '12' '2' -> 144 powx040 power '3' '3' -> 27 powx041 power '4' '3' -> 64 powx042 power '5' '3' -> 125 powx043 power '6' '3' -> 216 powx044 power '7' '3' -> 343 powx050 power '10' '0' -> 1 powx051 power '10' '1' -> 10 powx052 power '10' '2' -> 100 powx053 power '10' '3' -> 1000 powx054 power '10' '4' -> 10000 powx055 power '10' '5' -> 100000 powx056 power '10' '6' -> 1000000 powx057 power '10' '7' -> 10000000 powx058 power '10' '8' -> 100000000 powx059 power '10' '9' -> 1.00000000E+9 Rounded powx060 power '10' '22' -> 1.00000000E+22 Rounded powx061 power '10' '77' -> 1.00000000E+77 Rounded powx062 power '10' '99' -> 1.00000000E+99 Rounded maxexponent: 999999999 minexponent: -999999999 powx063 power '10' '999999999' -> '1.00000000E+999999999' Rounded powx064 power '10' '999999998' -> '1.00000000E+999999998' Rounded powx065 power '10' '999999997' -> '1.00000000E+999999997' Rounded powx066 power '10' '333333333' -> '1.00000000E+333333333' 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 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 powx118 power '10' '-333333333' -> 1E-333333333 powx119 power '10' '-999999998' -> 1E-999999998 powx120 power '10' '-999999999' -> 1E-999999999 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 Division_by_zero powx127 power '0' '-2' -> Infinity Division_by_zero powx128 power -0 '-1' -> -Infinity Division_by_zero powx129 power -0 '-2' -> Infinity Division_by_zero -- out-of-range edge cases powx181 power '7' '999999998' -> 2.10892313E+845098038 Inexact Rounded powx182 power '7' '999999999' -> 1.47624619E+845098039 Inexact Rounded powx183 power '7' '1000000000' -> NaN Invalid_operation powx184 power '7' '1000000001' -> NaN Invalid_operation powx185 power '7' '10000000000' -> NaN Invalid_operation powx186 power '7' '-1000000001' -> NaN Invalid_operation powx187 power '7' '-1000000000' -> NaN Invalid_operation powx189 power '7' '-999999999' -> 6.77393787E-845098040 Inexact Rounded powx190 power '7' '-999999998' -> 4.74175651E-845098039 Inexact Rounded -- some baddies [more below] powx191 power '2' '2.000001' -> NaN Invalid_operation powx192 power '2' '2.00000000' -> 4 powx193 power '2' '2.000000001' -> NaN Invalid_operation powx194 power '2' '2.0000000001' -> NaN Invalid_operation -- "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 -- A (rare) case where the last digit is not within 0.5 ULP precision: 9 powx215 power "-21971575.0E+31454441" "-7" -> "-4.04549503E-220181139" Inexact Rounded precision: 20 powx216 power "-21971575.0E+31454441" "-7" -> "-4.0454950249324891788E-220181139" Inexact Rounded -- 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 powx219 power '123456789E+10' '-1.23000e+2' -> '5.54E-2226' Inexact Rounded -- whole number checks precision: 9 powx221 power 1 1234 -> 1 precision: 4 powx222 power 1 1234 -> 1 precision: 3 powx223 power 1 1234 -> 1 powx224 power 1 12.34e+2 -> 1 powx225 power 1 12.3 -> NaN Invalid_operation powx226 power 1 12.0 -> 1 powx227 power 1 1.01 -> NaN Invalid_operation powx228 power 2 1.00 -> 2 powx229 power 2 2.00 -> 4 precision: 9 powx230 power 1 1.0001 -> NaN Invalid_operation powx231 power 1 1.0000001 -> NaN Invalid_operation powx232 power 1 1.0000000001 -> NaN Invalid_operation powx233 power 1 1.0000000000001 -> NaN Invalid_operation precision: 5 powx234 power 1 1.0001 -> NaN Invalid_operation powx235 power 1 1.0000001 -> NaN Invalid_operation powx236 power 1 1.0000000001 -> NaN Invalid_operation powx237 power 1 1.0000000000001 -> NaN Invalid_operation powx238 power 1 1.0000000000001 -> NaN Invalid_operation maxexponent: 999999999 minexponent: -999999999 powx239 power 1 5.67E-987654321 -> NaN Invalid_operation powx240 power 1 100000000 -> 1 powx241 power 1 999999998 -> 1 powx242 power 1 999999999 -> 1 powx243 power 1 1000000000 -> NaN Invalid_operation powx244 power 1 9999999999 -> NaN Invalid_operation -- Checks for 'Too much precision needed' -- For x^12, digits+elength+1 = digits+3 precision: 999999999 powx249 add 1 1 -> 2 -- check basic operation at this precision powx250 power 2 12 -> Infinity Overflow precision: 999999998 powx251 power 2 12 -> Infinity Overflow precision: 999999997 powx252 power 2 12 -> Infinity Overflow precision: 999999996 powx253 power 2 12 -> 4096 precision: 999999995 powx254 power 2 12 -> 4096 -- zeros maxexponent: +96 minexponent: -95 precision: 7 powx260 power 0E-34 3 -> 0E-101 Clamped powx261 power 0E-33 3 -> 0E-99 powx262 power 0E-32 3 -> 0E-96 powx263 power 0E-30 3 -> 0E-90 powx264 power 0E-10 3 -> 0E-30 powx265 power 0E-1 3 -> 0.000 powx266 power 0E+0 3 -> 0 powx267 power 0 3 -> 0 powx268 power 0E+1 3 -> 0E+3 powx269 power 0E+10 3 -> 0E+30 powx270 power 0E+30 3 -> 0E+90 powx271 power 0E+32 3 -> 0E+96 powx272 power 0E+33 3 -> 0E+96 Clamped -- overflow and underflow tests maxexponent: 999999999 minexponent: -999999999 precision: 9 powx280 power 9 999999999 -> 3.05550054E+954242508 Inexact Rounded powx281 power 10 999999999 -> 1.00000000E+999999999 Rounded powx282 power 10.0001 999999999 -> Infinity Overflow Inexact Rounded powx283 power 10.1 999999999 -> Infinity Overflow Inexact Rounded powx284 power 11 999999999 -> Infinity Overflow Inexact Rounded powx285 power 12 999999999 -> Infinity Overflow Inexact Rounded powx286 power 999 999999999 -> Infinity Overflow Inexact Rounded powx287 power 999999 999999999 -> Infinity Overflow Inexact Rounded powx288 power 999999999 999999999 -> Infinity Overflow Inexact Rounded powx289 power 9.9E999999999 999999999 -> Infinity Overflow Inexact Rounded powx290 power 0.5 999999999 -> 4.33559594E-301029996 Inexact Rounded powx291 power 0.1 999999999 -> 1E-999999999 -- unrounded powx292 power 0.09 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx293 power 0.05 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx294 power 0.01 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx295 power 0.0001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx297 power 0.0000001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx298 power 0.0000000001 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx299 power 1E-999999999 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx310 power -9 999999999 -> -3.05550054E+954242508 Inexact Rounded powx311 power -10 999999999 -> -1.00000000E+999999999 Rounded powx312 power -10.0001 999999999 -> -Infinity Overflow Inexact Rounded powx313 power -10.1 999999999 -> -Infinity Overflow Inexact Rounded powx314 power -11 999999999 -> -Infinity Overflow Inexact Rounded powx315 power -12 999999999 -> -Infinity Overflow Inexact Rounded powx316 power -999 999999999 -> -Infinity Overflow Inexact Rounded powx317 power -999999 999999999 -> -Infinity Overflow Inexact Rounded powx318 power -999999999 999999999 -> -Infinity Overflow Inexact Rounded powx319 power -9.9E999999999 999999999 -> -Infinity Overflow Inexact Rounded powx320 power -0.5 999999999 -> -4.33559594E-301029996 Inexact Rounded powx321 power -0.1 999999999 -> -1E-999999999 powx322 power -0.09 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx323 power -0.05 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx324 power -0.01 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx325 power -0.0001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx327 power -0.0000001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx328 power -0.0000000001 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx329 power -1E-999999999 999999999 -> -0E-1000000007 Underflow Subnormal Inexact Rounded Clamped -- note no trim of next result powx330 power -9 999999998 -> 3.39500060E+954242507 Inexact Rounded powx331 power -10 999999998 -> 1.00000000E+999999998 Rounded powx332 power -10.0001 999999998 -> Infinity Overflow Inexact Rounded powx333 power -10.1 999999998 -> Infinity Overflow Inexact Rounded powx334 power -11 999999998 -> Infinity Overflow Inexact Rounded powx335 power -12 999999998 -> Infinity Overflow Inexact Rounded powx336 power -999 999999998 -> Infinity Overflow Inexact Rounded powx337 power -999999 999999998 -> Infinity Overflow Inexact Rounded powx338 power -999999999 999999998 -> Infinity Overflow Inexact Rounded powx339 power -9.9E999999999 999999998 -> Infinity Overflow Inexact Rounded powx340 power -0.5 999999998 -> 8.67119187E-301029996 Inexact Rounded powx341 power -0.1 999999998 -> 1E-999999998 -- NB exact unrounded powx342 power -0.09 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx343 power -0.05 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx344 power -0.01 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx345 power -0.0001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx347 power -0.0000001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx348 power -0.0000000001 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx349 power -1E-999999999 999999998 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped -- some subnormals precision: 9 -- [precision is 9, so smallest exponent is -1000000007 powx350 power 1e-1 500000000 -> 1E-500000000 powx351 power 1e-2 999999999 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped powx352 power 1e-2 500000000 -> 1E-1000000000 Subnormal powx353 power 1e-2 500000001 -> 1E-1000000002 Subnormal powx354 power 1e-2 500000002 -> 1E-1000000004 Subnormal powx355 power 1e-2 500000003 -> 1E-1000000006 Subnormal powx356 power 1e-2 500000004 -> 0E-1000000007 Underflow Subnormal Inexact Rounded powx360 power 0.010001 500000000 -> 4.34941988E-999978287 Inexact Rounded powx361 power 0.010000001 500000000 -> 5.18469257E-999999979 Inexact Rounded powx362 power 0.010000001 500000001 -> 5.18469309E-999999981 Inexact Rounded powx363 power 0.0100000009 500000000 -> 3.49342003E-999999981 Inexact Rounded powx364 power 0.0100000001 500000000 -> 1.48413155E-999999998 Inexact Rounded powx365 power 0.01 500000000 -> 1E-1000000000 Subnormal powx366 power 0.0099999999 500000000 -> 6.7379E-1000000003 Underflow Subnormal Inexact Rounded powx367 power 0.0099999998 500000000 -> 4.54E-1000000005 Underflow Subnormal Inexact Rounded powx368 power 0.0099999997 500000000 -> 3E-1000000007 Underflow Subnormal Inexact Rounded powx369 power 0.0099999996 500000000 -> 0E-1000000007 Underflow Subnormal Inexact Rounded powx370 power 0.009 500000000 -> 0E-1000000007 Underflow Subnormal Inexact Rounded Clamped -- 1/subnormal -> overflow powx371 power 1e-1 -500000000 -> 1E+500000000 powx372 power 1e-2 -999999999 -> Infinity Overflow Inexact Rounded powx373 power 1e-2 -500000000 -> Infinity Overflow Inexact Rounded powx374 power 1e-2 -500000001 -> Infinity Overflow Inexact Rounded powx375 power 1e-2 -500000002 -> Infinity Overflow Inexact Rounded powx376 power 1e-2 -500000003 -> Infinity Overflow Inexact Rounded powx377 power 1e-2 -500000004 -> Infinity Overflow Inexact Rounded powx381 power 0.010001 -500000000 -> 2.29915719E+999978286 Inexact Rounded powx382 power 0.010000001 -500000000 -> 1.92875467E+999999978 Inexact Rounded powx383 power 0.010000001 -500000001 -> 1.92875448E+999999980 Inexact Rounded powx384 power 0.0100000009 -500000000 -> 2.86252438E+999999980 Inexact Rounded powx385 power 0.0100000001 -500000000 -> 6.73794717E+999999997 Inexact Rounded powx386 power 0.01 -500000000 -> Infinity Overflow Inexact Rounded powx387 power 0.009999 -500000000 -> Infinity Overflow Inexact Rounded -- negative power giving subnormal powx388 power 100.000001 -500000000 -> 6.7379E-1000000003 Underflow Subnormal Inexact Rounded -- some more edge cases precision: 15 maxExponent: 999 minexponent: -999 powx391 power 0.1 999 -> 1E-999 powx392 power 0.099 999 -> 4.360732062E-1004 Underflow Subnormal Inexact Rounded powx393 power 0.098 999 -> 1.71731E-1008 Underflow Subnormal Inexact Rounded powx394 power 0.097 999 -> 6E-1013 Underflow Subnormal Inexact Rounded powx395 power 0.096 999 -> 0E-1013 Underflow Subnormal Inexact Rounded powx396 power 0.01 999 -> 0E-1013 Underflow Subnormal Inexact Rounded Clamped -- multiply tests are here to aid checking and test for consistent handling -- of underflow precision: 5 maxexponent: 999 minexponent: -999 -- squares mulx400 multiply 1E-502 1e-502 -> 0E-1003 Subnormal Inexact Underflow Rounded mulx401 multiply 1E-501 1e-501 -> 1E-1002 Subnormal mulx402 multiply 2E-501 2e-501 -> 4E-1002 Subnormal mulx403 multiply 4E-501 4e-501 -> 1.6E-1001 Subnormal mulx404 multiply 10E-501 10e-501 -> 1.00E-1000 Subnormal mulx405 multiply 30E-501 30e-501 -> 9.00E-1000 Subnormal mulx406 multiply 40E-501 40e-501 -> 1.600E-999 powx400 power 1E-502 2 -> 0E-1003 Underflow Subnormal Inexact Rounded powx401 power 1E-501 2 -> 1E-1002 Subnormal powx402 power 2E-501 2 -> 4E-1002 Subnormal powx403 power 4E-501 2 -> 1.6E-1001 Subnormal powx404 power 10E-501 2 -> 1.00E-1000 Subnormal powx405 power 30E-501 2 -> 9.00E-1000 Subnormal powx406 power 40E-501 2 -> 1.600E-999 -- cubes mulx410 multiply 1E-670 1e-335 -> 0E-1003 Underflow Subnormal Inexact Rounded mulx411 multiply 1E-668 1e-334 -> 1E-1002 Subnormal mulx412 multiply 4E-668 2e-334 -> 8E-1002 Subnormal mulx413 multiply 9E-668 3e-334 -> 2.7E-1001 Subnormal mulx414 multiply 16E-668 4e-334 -> 6.4E-1001 Subnormal mulx415 multiply 25E-668 5e-334 -> 1.25E-1000 Subnormal mulx416 multiply 10E-668 100e-334 -> 1.000E-999 powx410 power 1E-335 3 -> 0E-1003 Underflow Subnormal Inexact Rounded powx411 power 1E-334 3 -> 1E-1002 Subnormal powx412 power 2E-334 3 -> 8E-1002 Subnormal powx413 power 3E-334 3 -> 2.7E-1001 Subnormal powx414 power 4E-334 3 -> 6.4E-1001 Subnormal powx415 power 5E-334 3 -> 1.25E-1000 Subnormal powx416 power 10E-334 3 -> 1.000E-999 -- negative powers, testing subnormals precision: 5 maxExponent: 999 minexponent: -999 powx421 power 2.5E-501 -2 -> Infinity Overflow Inexact Rounded powx422 power 2.5E-500 -2 -> 1.6E+999 powx423 power 2.5E+499 -2 -> 1.6E-999 powx424 power 2.5E+500 -2 -> 1.6E-1001 Subnormal powx425 power 2.5E+501 -2 -> 2E-1003 Underflow Subnormal Inexact Rounded powx426 power 2.5E+502 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded powx427 power 0.25E+499 -2 -> 1.6E-997 powx428 power 0.25E+500 -2 -> 1.6E-999 powx429 power 0.25E+501 -2 -> 1.6E-1001 Subnormal powx430 power 0.25E+502 -2 -> 2E-1003 Underflow Subnormal Inexact Rounded powx431 power 0.25E+503 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded powx432 power 0.04E+499 -2 -> 6.25E-996 powx433 power 0.04E+500 -2 -> 6.25E-998 powx434 power 0.04E+501 -2 -> 6.25E-1000 Subnormal powx435 power 0.04E+502 -2 -> 6.3E-1002 Underflow Subnormal Inexact Rounded powx436 power 0.04E+503 -2 -> 1E-1003 Underflow Subnormal Inexact Rounded powx437 power 0.04E+504 -2 -> 0E-1003 Underflow Subnormal Inexact Rounded powx441 power 0.04E+334 -3 -> 1.5625E-998 powx442 power 0.04E+335 -3 -> 1.56E-1001 Underflow Subnormal Inexact Rounded powx443 power 0.04E+336 -3 -> 0E-1003 Underflow Subnormal Inexact Rounded powx444 power 0.25E+333 -3 -> 6.4E-998 powx445 power 0.25E+334 -3 -> 6.4E-1001 Subnormal powx446 power 0.25E+335 -3 -> 1E-1003 Underflow Subnormal Inexact Rounded powx447 power 0.25E+336 -3 -> 0E-1003 Underflow Subnormal Inexact Rounded Clamped -- check sign for cubes and a few squares powx448 power -0.04E+334 -3 -> -1.5625E-998 powx449 power -0.04E+335 -3 -> -1.56E-1001 Underflow Subnormal Inexact Rounded powx450 power -0.04E+336 -3 -> -0E-1003 Underflow Subnormal Inexact Rounded powx451 power -0.25E+333 -3 -> -6.4E-998 powx452 power -0.25E+334 -3 -> -6.4E-1001 Subnormal powx453 power -0.25E+335 -3 -> -1E-1003 Underflow Subnormal Inexact Rounded powx454 power -0.25E+336 -3 -> -0E-1003 Underflow Subnormal Inexact Rounded Clamped powx455 power -0.04E+499 -2 -> 6.25E-996 powx456 power -0.04E+500 -2 -> 6.25E-998 powx457 power -0.04E+501 -2 -> 6.25E-1000 Subnormal powx458 power -0.04E+502 -2 -> 6.3E-1002 Underflow Subnormal Inexact Rounded -- test -0s precision: 9 powx560 power 0 0 -> NaN Invalid_operation powx561 power 0 -0 -> NaN Invalid_operation powx562 power -0 0 -> NaN Invalid_operation powx563 power -0 -0 -> NaN Invalid_operation powx564 power 1 0 -> 1 powx565 power 1 -0 -> 1 powx566 power -1 0 -> 1 powx567 power -1 -0 -> 1 powx568 power 0 1 -> 0 powx569 power 0 -1 -> Infinity Division_by_zero powx570 power -0 1 -> -0 powx571 power -0 -1 -> -Infinity Division_by_zero powx572 power 0 2 -> 0 powx573 power 0 -2 -> Infinity Division_by_zero powx574 power -0 2 -> 0 powx575 power -0 -2 -> Infinity Division_by_zero powx576 power 0 3 -> 0 powx577 power 0 -3 -> Infinity Division_by_zero powx578 power -0 3 -> -0 powx579 power -0 -3 -> -Infinity Division_by_zero -- Specials powx580 power Inf -Inf -> NaN Invalid_operation powx581 power Inf -1000 -> 0 powx582 power Inf -1 -> 0 powx583 power Inf -0 -> 1 powx584 power Inf 0 -> 1 powx585 power Inf 1 -> Infinity powx586 power Inf 1000 -> Infinity powx587 power Inf Inf -> NaN Invalid_operation powx588 power -1000 Inf -> NaN Invalid_operation powx589 power -Inf Inf -> NaN Invalid_operation powx590 power -1 Inf -> NaN Invalid_operation powx591 power -0 Inf -> NaN Invalid_operation powx592 power 0 Inf -> NaN Invalid_operation powx593 power 1 Inf -> NaN Invalid_operation powx594 power 1000 Inf -> NaN Invalid_operation powx595 power Inf Inf -> NaN Invalid_operation powx600 power -Inf -Inf -> NaN Invalid_operation powx601 power -Inf -1000 -> 0 powx602 power -Inf -1 -> -0 powx603 power -Inf -0 -> 1 powx604 power -Inf 0 -> 1 powx605 power -Inf 1 -> -Infinity powx606 power -Inf 1000 -> Infinity powx607 power -Inf Inf -> NaN Invalid_operation powx608 power -1000 Inf -> NaN Invalid_operation powx609 power -Inf -Inf -> NaN Invalid_operation powx610 power -1 -Inf -> NaN Invalid_operation powx611 power -0 -Inf -> NaN Invalid_operation powx612 power 0 -Inf -> NaN Invalid_operation powx613 power 1 -Inf -> NaN Invalid_operation powx614 power 1000 -Inf -> NaN Invalid_operation powx615 power Inf -Inf -> NaN Invalid_operation powx621 power NaN -Inf -> NaN Invalid_operation powx622 power NaN -1000 -> NaN powx623 power NaN -1 -> NaN powx624 power NaN -0 -> NaN powx625 power NaN 0 -> NaN powx626 power NaN 1 -> NaN powx627 power NaN 1000 -> NaN powx628 power NaN Inf -> NaN Invalid_operation powx629 power NaN NaN -> NaN powx630 power -Inf NaN -> NaN powx631 power -1000 NaN -> NaN powx632 power -1 NaN -> NaN powx633 power -0 NaN -> NaN powx634 power 0 NaN -> NaN powx635 power 1 NaN -> NaN powx636 power 1000 NaN -> NaN powx637 power Inf NaN -> NaN powx641 power sNaN -Inf -> NaN Invalid_operation powx642 power sNaN -1000 -> NaN Invalid_operation powx643 power sNaN -1 -> NaN Invalid_operation powx644 power sNaN -0 -> NaN Invalid_operation powx645 power sNaN 0 -> NaN Invalid_operation powx646 power sNaN 1 -> NaN Invalid_operation powx647 power sNaN 1000 -> NaN Invalid_operation powx648 power sNaN NaN -> NaN Invalid_operation powx649 power sNaN sNaN -> NaN Invalid_operation powx650 power NaN sNaN -> NaN Invalid_operation powx651 power -Inf sNaN -> NaN Invalid_operation powx652 power -1000 sNaN -> NaN Invalid_operation powx653 power -1 sNaN -> NaN Invalid_operation powx654 power -0 sNaN -> NaN Invalid_operation powx655 power 0 sNaN -> NaN Invalid_operation powx656 power 1 sNaN -> NaN Invalid_operation powx657 power 1000 sNaN -> NaN Invalid_operation powx658 power Inf sNaN -> NaN Invalid_operation powx659 power NaN sNaN -> NaN Invalid_operation -- NaN propagation powx660 power NaN3 sNaN7 -> NaN7 Invalid_operation powx661 power sNaN8 NaN6 -> NaN8 Invalid_operation powx662 power 1 sNaN7 -> NaN7 Invalid_operation powx663 power sNaN8 1 -> NaN8 Invalid_operation powx664 power Inf sNaN7 -> NaN7 Invalid_operation powx665 power sNaN8 Inf -> NaN Invalid_operation powx666 power Inf NaN9 -> NaN9 powx667 power NaN6 Inf -> NaN Invalid_operation powx668 power 1 NaN5 -> NaN5 powx669 power NaN2 1 -> NaN2 powx670 power NaN2 Nan4 -> NaN2 powx671 power NaN Nan4 -> NaN powx672 power NaN345 Nan -> NaN345 powx673 power Inf -sNaN7 -> -NaN7 Invalid_operation powx674 power -sNaN8 Inf -> NaN Invalid_operation powx675 power Inf -NaN9 -> -NaN9 powx676 power -NaN6 Inf -> NaN Invalid_operation powx677 power -NaN2 -Nan4 -> -NaN2 -- Examples from extended specification powx690 power Inf -2 -> 0 powx691 power Inf -1 -> 0 powx692 power Inf 0 -> 1 powx693 power Inf 1 -> Infinity powx694 power Inf 2 -> Infinity powx695 power -Inf -2 -> 0 powx696 power -Inf -1 -> -0 powx697 power -Inf 0 -> 1 powx698 power -Inf 1 -> -Infinity powx699 power -Inf 2 -> Infinity powx700 power 0 0 -> NaN Invalid_operation -- long operand and RHS range checks maxexponent: 999 minexponent: -999 precision: 9 powx701 power 12345678000 1 -> 1.23456780E+10 Rounded powx702 power 1234567800 1 -> 1.23456780E+9 Rounded powx703 power 1234567890 1 -> 1.23456789E+9 Rounded powx704 power 1234567891 1 -> 1.23456789E+9 Inexact Rounded powx705 power 12345678901 1 -> 1.23456789E+10 Inexact Rounded powx706 power 1234567896 1 -> 1.23456790E+9 Inexact Rounded powx707 power 1 12345678000 -> NaN Invalid_operation powx708 power 1 1234567800 -> NaN Invalid_operation powx709 power 1 1234567890 -> NaN Invalid_operation powx710 power 1 11234567891 -> NaN Invalid_operation powx711 power 1 12345678901 -> NaN Invalid_operation powx712 power 1 1234567896 -> NaN Invalid_operation powx713 power 1 -1234567896 -> NaN Invalid_operation powx714 power 1 1000000000 -> NaN Invalid_operation powx715 power 1 -1000000000 -> NaN Invalid_operation precision: 15 -- still checking powx741 power 12345678000 1 -> 12345678000 powx742 power 1234567800 1 -> 1234567800 powx743 power 1234567890 1 -> 1234567890 powx744 power 1234567891 1 -> 1234567891 powx745 power 12345678901 1 -> 12345678901 powx746 power 1234567896 1 -> 1234567896 powx747 power 1 12345678000 -> NaN Invalid_operation powx748 power 1 -1234567896 -> NaN Invalid_operation powx749 power 1 1000000000 -> NaN Invalid_operation powx740 power 1 -1000000000 -> NaN Invalid_operation -- check for double-rounded subnormals precision: 5 maxexponent: 79 minexponent: -79 powx750 power 1.2347E-40 2 -> 1.524E-80 Inexact Rounded Subnormal Underflow -- Null tests powx900 power 1 # -> NaN Invalid_operation powx901 power # 1 -> NaN Invalid_operation