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------/cancell---------------------------------------------------------- -- add.decTest -- decimal addition -- -- 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 precision: 9 rounding: half_up maxExponent: 384 minexponent: -383 extended: 1 -- [first group are 'quick confidence check'] addx001 add 1 1 -> 2 addx002 add 2 3 -> 5 addx003 add '5.75' '3.3' -> 9.05 addx004 add '5' '-3' -> 2 addx005 add '-5' '-3' -> -8 addx006 add '-7' '2.5' -> -4.5 addx007 add '0.7' '0.3' -> 1.0 addx008 add '1.25' '1.25' -> 2.50 addx009 add '1.23456789' '1.00000000' -> '2.23456789' addx010 add '1.23456789' '1.00000011' -> '2.23456800' addx011 add '0.4444444444' '0.5555555555' -> '1.00000000' Inexact Rounded addx012 add '0.4444444440' '0.5555555555' -> '1.00000000' Inexact Rounded addx013 add '0.4444444444' '0.5555555550' -> '0.999999999' Inexact Rounded addx014 add '0.44444444449' '0' -> '0.444444444' Inexact Rounded addx015 add '0.444444444499' '0' -> '0.444444444' Inexact Rounded addx016 add '0.4444444444999' '0' -> '0.444444444' Inexact Rounded addx017 add '0.4444444445000' '0' -> '0.444444445' Inexact Rounded addx018 add '0.4444444445001' '0' -> '0.444444445' Inexact Rounded addx019 add '0.444444444501' '0' -> '0.444444445' Inexact Rounded addx020 add '0.44444444451' '0' -> '0.444444445' Inexact Rounded addx021 add 0 1 -> 1 addx022 add 1 1 -> 2 addx023 add 2 1 -> 3 addx024 add 3 1 -> 4 addx025 add 4 1 -> 5 addx026 add 5 1 -> 6 addx027 add 6 1 -> 7 addx028 add 7 1 -> 8 addx029 add 8 1 -> 9 addx030 add 9 1 -> 10 -- some carrying effects addx031 add '0.9998' '0.0000' -> '0.9998' addx032 add '0.9998' '0.0001' -> '0.9999' addx033 add '0.9998' '0.0002' -> '1.0000' addx034 add '0.9998' '0.0003' -> '1.0001' addx035 add '70' '10000e+9' -> '1.00000000E+13' Inexact Rounded addx036 add '700' '10000e+9' -> '1.00000000E+13' Inexact Rounded addx037 add '7000' '10000e+9' -> '1.00000000E+13' Inexact Rounded addx038 add '70000' '10000e+9' -> '1.00000001E+13' Inexact Rounded addx039 add '700000' '10000e+9' -> '1.00000007E+13' Rounded -- symmetry: addx040 add '10000e+9' '70' -> '1.00000000E+13' Inexact Rounded addx041 add '10000e+9' '700' -> '1.00000000E+13' Inexact Rounded addx042 add '10000e+9' '7000' -> '1.00000000E+13' Inexact Rounded addx044 add '10000e+9' '70000' -> '1.00000001E+13' Inexact Rounded addx045 add '10000e+9' '700000' -> '1.00000007E+13' Rounded -- same, higher precision precision: 15 addx046 add '10000e+9' '7' -> '10000000000007' addx047 add '10000e+9' '70' -> '10000000000070' addx048 add '10000e+9' '700' -> '10000000000700' addx049 add '10000e+9' '7000' -> '10000000007000' addx050 add '10000e+9' '70000' -> '10000000070000' addx051 add '10000e+9' '700000' -> '10000000700000' addx052 add '10000e+9' '7000000' -> '10000007000000' -- examples from decarith addx053 add '12' '7.00' -> '19.00' addx054 add '1.3' '-1.07' -> '0.23' addx055 add '1.3' '-1.30' -> '0.00' addx056 add '1.3' '-2.07' -> '-0.77' addx057 add '1E+2' '1E+4' -> '1.01E+4' -- zero preservation precision: 6 addx060 add '10000e+9' '70000' -> '1.00000E+13' Inexact Rounded addx061 add 1 '0.0001' -> '1.0001' addx062 add 1 '0.00001' -> '1.00001' addx063 add 1 '0.000001' -> '1.00000' Inexact Rounded addx064 add 1 '0.0000001' -> '1.00000' Inexact Rounded addx065 add 1 '0.00000001' -> '1.00000' Inexact Rounded -- some funny zeros [in case of bad signum] addx070 add 1 0 -> 1 addx071 add 1 0. -> 1 addx072 add 1 .0 -> 1.0 addx073 add 1 0.0 -> 1.0 addx074 add 1 0.00 -> 1.00 addx075 add 0 1 -> 1 addx076 add 0. 1 -> 1 addx077 add .0 1 -> 1.0 addx078 add 0.0 1 -> 1.0 addx079 add 0.00 1 -> 1.00 precision: 9 -- some carries addx080 add 999999998 1 -> 999999999 addx081 add 999999999 1 -> 1.00000000E+9 Rounded addx082 add 99999999 1 -> 100000000 addx083 add 9999999 1 -> 10000000 addx084 add 999999 1 -> 1000000 addx085 add 99999 1 -> 100000 addx086 add 9999 1 -> 10000 addx087 add 999 1 -> 1000 addx088 add 99 1 -> 100 addx089 add 9 1 -> 10 -- more LHS swaps addx090 add '-56267E-10' 0 -> '-0.0000056267' addx091 add '-56267E-6' 0 -> '-0.056267' addx092 add '-56267E-5' 0 -> '-0.56267' addx093 add '-56267E-4' 0 -> '-5.6267' addx094 add '-56267E-3' 0 -> '-56.267' addx095 add '-56267E-2' 0 -> '-562.67' addx096 add '-56267E-1' 0 -> '-5626.7' addx097 add '-56267E-0' 0 -> '-56267' addx098 add '-5E-10' 0 -> '-5E-10' addx099 add '-5E-7' 0 -> '-5E-7' addx100 add '-5E-6' 0 -> '-0.000005' addx101 add '-5E-5' 0 -> '-0.00005' addx102 add '-5E-4' 0 -> '-0.0005' addx103 add '-5E-1' 0 -> '-0.5' addx104 add '-5E0' 0 -> '-5' addx105 add '-5E1' 0 -> '-50' addx106 add '-5E5' 0 -> '-500000' addx107 add '-5E8' 0 -> '-500000000' addx108 add '-5E9' 0 -> '-5.00000000E+9' Rounded addx109 add '-5E10' 0 -> '-5.00000000E+10' Rounded addx110 add '-5E11' 0 -> '-5.00000000E+11' Rounded addx111 add '-5E100' 0 -> '-5.00000000E+100' Rounded -- more RHS swaps addx113 add 0 '-56267E-10' -> '-0.0000056267' addx114 add 0 '-56267E-6' -> '-0.056267' addx116 add 0 '-56267E-5' -> '-0.56267' addx117 add 0 '-56267E-4' -> '-5.6267' addx119 add 0 '-56267E-3' -> '-56.267' addx120 add 0 '-56267E-2' -> '-562.67' addx121 add 0 '-56267E-1' -> '-5626.7' addx122 add 0 '-56267E-0' -> '-56267' addx123 add 0 '-5E-10' -> '-5E-10' addx124 add 0 '-5E-7' -> '-5E-7' addx125 add 0 '-5E-6' -> '-0.000005' addx126 add 0 '-5E-5' -> '-0.00005' addx127 add 0 '-5E-4' -> '-0.0005' addx128 add 0 '-5E-1' -> '-0.5' addx129 add 0 '-5E0' -> '-5' addx130 add 0 '-5E1' -> '-50' addx131 add 0 '-5E5' -> '-500000' addx132 add 0 '-5E8' -> '-500000000' addx133 add 0 '-5E9' -> '-5.00000000E+9' Rounded addx134 add 0 '-5E10' -> '-5.00000000E+10' Rounded addx135 add 0 '-5E11' -> '-5.00000000E+11' Rounded addx136 add 0 '-5E100' -> '-5.00000000E+100' Rounded -- related addx137 add 1 '0E-12' -> '1.00000000' Rounded addx138 add -1 '0E-12' -> '-1.00000000' Rounded addx139 add '0E-12' 1 -> '1.00000000' Rounded addx140 add '0E-12' -1 -> '-1.00000000' Rounded addx141 add 1E+4 0.0000 -> '10000.0000' addx142 add 1E+4 0.00000 -> '10000.0000' Rounded addx143 add 0.000 1E+5 -> '100000.000' addx144 add 0.0000 1E+5 -> '100000.000' Rounded -- [some of the next group are really constructor tests] addx146 add '00.0' 0 -> '0.0' addx147 add '0.00' 0 -> '0.00' addx148 add 0 '0.00' -> '0.00' addx149 add 0 '00.0' -> '0.0' addx150 add '00.0' '0.00' -> '0.00' addx151 add '0.00' '00.0' -> '0.00' addx152 add '3' '.3' -> '3.3' addx153 add '3.' '.3' -> '3.3' addx154 add '3.0' '.3' -> '3.3' addx155 add '3.00' '.3' -> '3.30' addx156 add '3' '3' -> '6' addx157 add '3' '+3' -> '6' addx158 add '3' '-3' -> '0' addx159 add '0.3' '-0.3' -> '0.0' addx160 add '0.03' '-0.03' -> '0.00' -- try borderline precision, with carries, etc. precision: 15 addx161 add '1E+12' '-1' -> '999999999999' addx162 add '1E+12' '1.11' -> '1000000000001.11' addx163 add '1.11' '1E+12' -> '1000000000001.11' addx164 add '-1' '1E+12' -> '999999999999' addx165 add '7E+12' '-1' -> '6999999999999' addx166 add '7E+12' '1.11' -> '7000000000001.11' addx167 add '1.11' '7E+12' -> '7000000000001.11' addx168 add '-1' '7E+12' -> '6999999999999' -- 123456789012345 123456789012345 1 23456789012345 addx170 add '0.444444444444444' '0.555555555555563' -> '1.00000000000001' Inexact Rounded addx171 add '0.444444444444444' '0.555555555555562' -> '1.00000000000001' Inexact Rounded addx172 add '0.444444444444444' '0.555555555555561' -> '1.00000000000001' Inexact Rounded addx173 add '0.444444444444444' '0.555555555555560' -> '1.00000000000000' Inexact Rounded addx174 add '0.444444444444444' '0.555555555555559' -> '1.00000000000000' Inexact Rounded addx175 add '0.444444444444444' '0.555555555555558' -> '1.00000000000000' Inexact Rounded addx176 add '0.444444444444444' '0.555555555555557' -> '1.00000000000000' Inexact Rounded addx177 add '0.444444444444444' '0.555555555555556' -> '1.00000000000000' Rounded addx178 add '0.444444444444444' '0.555555555555555' -> '0.999999999999999' addx179 add '0.444444444444444' '0.555555555555554' -> '0.999999999999998' addx180 add '0.444444444444444' '0.555555555555553' -> '0.999999999999997' addx181 add '0.444444444444444' '0.555555555555552' -> '0.999999999999996' addx182 add '0.444444444444444' '0.555555555555551' -> '0.999999999999995' addx183 add '0.444444444444444' '0.555555555555550' -> '0.999999999999994' -- and some more, including residue effects and different roundings precision: 9 rounding: half_up addx200 add '123456789' 0 -> '123456789' addx201 add '123456789' 0.000000001 -> '123456789' Inexact Rounded addx202 add '123456789' 0.000001 -> '123456789' Inexact Rounded addx203 add '123456789' 0.1 -> '123456789' Inexact Rounded addx204 add '123456789' 0.4 -> '123456789' Inexact Rounded addx205 add '123456789' 0.49 -> '123456789' Inexact Rounded addx206 add '123456789' 0.499999 -> '123456789' Inexact Rounded addx207 add '123456789' 0.499999999 -> '123456789' Inexact Rounded addx208 add '123456789' 0.5 -> '123456790' Inexact Rounded addx209 add '123456789' 0.500000001 -> '123456790' Inexact Rounded addx210 add '123456789' 0.500001 -> '123456790' Inexact Rounded addx211 add '123456789' 0.51 -> '123456790' Inexact Rounded addx212 add '123456789' 0.6 -> '123456790' Inexact Rounded addx213 add '123456789' 0.9 -> '123456790' Inexact Rounded addx214 add '123456789' 0.99999 -> '123456790' Inexact Rounded addx215 add '123456789' 0.999999999 -> '123456790' Inexact Rounded addx216 add '123456789' 1 -> '123456790' addx217 add '123456789' 1.000000001 -> '123456790' Inexact Rounded addx218 add '123456789' 1.00001 -> '123456790' Inexact Rounded addx219 add '123456789' 1.1 -> '123456790' Inexact Rounded rounding: half_even addx220 add '123456789' 0 -> '123456789' addx221 add '123456789' 0.000000001 -> '123456789' Inexact Rounded addx222 add '123456789' 0.000001 -> '123456789' Inexact Rounded addx223 add '123456789' 0.1 -> '123456789' Inexact Rounded addx224 add '123456789' 0.4 -> '123456789' Inexact Rounded addx225 add '123456789' 0.49 -> '123456789' Inexact Rounded addx226 add '123456789' 0.499999 -> '123456789' Inexact Rounded addx227 add '123456789' 0.499999999 -> '123456789' Inexact Rounded addx228 add '123456789' 0.5 -> '123456790' Inexact Rounded addx229 add '123456789' 0.500000001 -> '123456790' Inexact Rounded addx230 add '123456789' 0.500001 -> '123456790' Inexact Rounded addx231 add '123456789' 0.51 -> '123456790' Inexact Rounded addx232 add '123456789' 0.6 -> '123456790' Inexact Rounded addx233 add '123456789' 0.9 -> '123456790' Inexact Rounded addx234 add '123456789' 0.99999 -> '123456790' Inexact Rounded addx235 add '123456789' 0.999999999 -> '123456790' Inexact Rounded addx236 add '123456789' 1 -> '123456790' addx237 add '123456789' 1.00000001 -> '123456790' Inexact Rounded addx238 add '123456789' 1.00001 -> '123456790' Inexact Rounded addx239 add '123456789' 1.1 -> '123456790' Inexact Rounded -- critical few with even bottom digit... addx240 add '123456788' 0.499999999 -> '123456788' Inexact Rounded addx241 add '123456788' 0.5 -> '123456788' Inexact Rounded addx242 add '123456788' 0.500000001 -> '123456789' Inexact Rounded rounding: down addx250 add '123456789' 0 -> '123456789' addx251 add '123456789' 0.000000001 -> '123456789' Inexact Rounded addx252 add '123456789' 0.000001 -> '123456789' Inexact Rounded addx253 add '123456789' 0.1 -> '123456789' Inexact Rounded addx254 add '123456789' 0.4 -> '123456789' Inexact Rounded addx255 add '123456789' 0.49 -> '123456789' Inexact Rounded addx256 add '123456789' 0.499999 -> '123456789' Inexact Rounded addx257 add '123456789' 0.499999999 -> '123456789' Inexact Rounded addx258 add '123456789' 0.5 -> '123456789' Inexact Rounded addx259 add '123456789' 0.500000001 -> '123456789' Inexact Rounded addx260 add '123456789' 0.500001 -> '123456789' Inexact Rounded addx261 add '123456789' 0.51 -> '123456789' Inexact Rounded addx262 add '123456789' 0.6 -> '123456789' Inexact Rounded addx263 add '123456789' 0.9 -> '123456789' Inexact Rounded addx264 add '123456789' 0.99999 -> '123456789' Inexact Rounded addx265 add '123456789' 0.999999999 -> '123456789' Inexact Rounded addx266 add '123456789' 1 -> '123456790' addx267 add '123456789' 1.00000001 -> '123456790' Inexact Rounded addx268 add '123456789' 1.00001 -> '123456790' Inexact Rounded addx269 add '123456789' 1.1 -> '123456790' Inexact Rounded -- input preparation tests (operands should not be rounded) precision: 3 rounding: half_up addx270 add '12345678900000' 9999999999999 -> '2.23E+13' Inexact Rounded addx271 add '9999999999999' 12345678900000 -> '2.23E+13' Inexact Rounded addx272 add '12E+3' '3444' -> '1.54E+4' Inexact Rounded addx273 add '12E+3' '3446' -> '1.54E+4' Inexact Rounded addx274 add '12E+3' '3449.9' -> '1.54E+4' Inexact Rounded addx275 add '12E+3' '3450.0' -> '1.55E+4' Inexact Rounded addx276 add '12E+3' '3450.1' -> '1.55E+4' Inexact Rounded addx277 add '12E+3' '3454' -> '1.55E+4' Inexact Rounded addx278 add '12E+3' '3456' -> '1.55E+4' Inexact Rounded addx281 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded addx282 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded addx283 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded addx284 add '3450.0' '12E+3' -> '1.55E+4' Inexact Rounded addx285 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded addx286 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded addx287 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded rounding: half_down addx291 add '3444' '12E+3' -> '1.54E+4' Inexact Rounded addx292 add '3446' '12E+3' -> '1.54E+4' Inexact Rounded addx293 add '3449.9' '12E+3' -> '1.54E+4' Inexact Rounded addx294 add '3450.0' '12E+3' -> '1.54E+4' Inexact Rounded addx295 add '3450.1' '12E+3' -> '1.55E+4' Inexact Rounded addx296 add '3454' '12E+3' -> '1.55E+4' Inexact Rounded addx297 add '3456' '12E+3' -> '1.55E+4' Inexact Rounded -- 1 in last place tests rounding: half_up addx301 add -1 1 -> 0 addx302 add 0 1 -> 1 addx303 add 1 1 -> 2 addx304 add 12 1 -> 13 addx305 add 98 1 -> 99 addx306 add 99 1 -> 100 addx307 add 100 1 -> 101 addx308 add 101 1 -> 102 addx309 add -1 -1 -> -2 addx310 add 0 -1 -> -1 addx311 add 1 -1 -> 0 addx312 add 12 -1 -> 11 addx313 add 98 -1 -> 97 addx314 add 99 -1 -> 98 addx315 add 100 -1 -> 99 addx316 add 101 -1 -> 100 addx321 add -0.01 0.01 -> 0.00 addx322 add 0.00 0.01 -> 0.01 addx323 add 0.01 0.01 -> 0.02 addx324 add 0.12 0.01 -> 0.13 addx325 add 0.98 0.01 -> 0.99 addx326 add 0.99 0.01 -> 1.00 addx327 add 1.00 0.01 -> 1.01 addx328 add 1.01 0.01 -> 1.02 addx329 add -0.01 -0.01 -> -0.02 addx330 add 0.00 -0.01 -> -0.01 addx331 add 0.01 -0.01 -> 0.00 addx332 add 0.12 -0.01 -> 0.11 addx333 add 0.98 -0.01 -> 0.97 addx334 add 0.99 -0.01 -> 0.98 addx335 add 1.00 -0.01 -> 0.99 addx336 add 1.01 -0.01 -> 1.00 -- some more cases where adding 0 affects the coefficient precision: 9 addx340 add 1E+3 0 -> 1000 addx341 add 1E+8 0 -> 100000000 addx342 add 1E+9 0 -> 1.00000000E+9 Rounded addx343 add 1E+10 0 -> 1.00000000E+10 Rounded -- which simply follow from these cases ... addx344 add 1E+3 1 -> 1001 addx345 add 1E+8 1 -> 100000001 addx346 add 1E+9 1 -> 1.00000000E+9 Inexact Rounded addx347 add 1E+10 1 -> 1.00000000E+10 Inexact Rounded addx348 add 1E+3 7 -> 1007 addx349 add 1E+8 7 -> 100000007 addx350 add 1E+9 7 -> 1.00000001E+9 Inexact Rounded addx351 add 1E+10 7 -> 1.00000000E+10 Inexact Rounded -- tryzeros cases precision: 7 rounding: half_up maxExponent: 92 minexponent: -92 addx361 add 0E+50 10000E+1 -> 1.0000E+5 addx362 add 10000E+1 0E-50 -> 100000.0 Rounded addx363 add 10000E+1 10000E-50 -> 100000.0 Rounded Inexact addx364 add 9.999999E+92 -9.999999E+92 -> 0E+86 -- a curiosity from JSR 13 testing rounding: half_down precision: 10 addx370 add 99999999 81512 -> 100081511 precision: 6 addx371 add 99999999 81512 -> 1.00082E+8 Rounded Inexact rounding: half_up precision: 10 addx372 add 99999999 81512 -> 100081511 precision: 6 addx373 add 99999999 81512 -> 1.00082E+8 Rounded Inexact rounding: half_even precision: 10 addx374 add 99999999 81512 -> 100081511 precision: 6 addx375 add 99999999 81512 -> 1.00082E+8 Rounded Inexact -- ulp replacement tests precision: 9 maxexponent: 999999999 minexponent: -999999999 addx400 add 1 77e-7 -> 1.0000077 addx401 add 1 77e-8 -> 1.00000077 addx402 add 1 77e-9 -> 1.00000008 Inexact Rounded addx403 add 1 77e-10 -> 1.00000001 Inexact Rounded addx404 add 1 77e-11 -> 1.00000000 Inexact Rounded addx405 add 1 77e-12 -> 1.00000000 Inexact Rounded addx406 add 1 77e-999 -> 1.00000000 Inexact Rounded addx407 add 1 77e-9999999 -> 1.00000000 Inexact Rounded addx410 add 10 77e-7 -> 10.0000077 addx411 add 10 77e-8 -> 10.0000008 Inexact Rounded addx412 add 10 77e-9 -> 10.0000001 Inexact Rounded addx413 add 10 77e-10 -> 10.0000000 Inexact Rounded addx414 add 10 77e-11 -> 10.0000000 Inexact Rounded addx415 add 10 77e-12 -> 10.0000000 Inexact Rounded addx416 add 10 77e-999 -> 10.0000000 Inexact Rounded addx417 add 10 77e-9999999 -> 10.0000000 Inexact Rounded addx420 add 77e-7 1 -> 1.0000077 addx421 add 77e-8 1 -> 1.00000077 addx422 add 77e-9 1 -> 1.00000008 Inexact Rounded addx423 add 77e-10 1 -> 1.00000001 Inexact Rounded addx424 add 77e-11 1 -> 1.00000000 Inexact Rounded addx425 add 77e-12 1 -> 1.00000000 Inexact Rounded addx426 add 77e-999 1 -> 1.00000000 Inexact Rounded addx427 add 77e-9999999 1 -> 1.00000000 Inexact Rounded addx430 add 77e-7 10 -> 10.0000077 addx431 add 77e-8 10 -> 10.0000008 Inexact Rounded addx432 add 77e-9 10 -> 10.0000001 Inexact Rounded addx433 add 77e-10 10 -> 10.0000000 Inexact Rounded addx434 add 77e-11 10 -> 10.0000000 Inexact Rounded addx435 add 77e-12 10 -> 10.0000000 Inexact Rounded addx436 add 77e-999 10 -> 10.0000000 Inexact Rounded addx437 add 77e-9999999 10 -> 10.0000000 Inexact Rounded -- negative ulps addx440 add 1 -77e-7 -> 0.9999923 addx441 add 1 -77e-8 -> 0.99999923 addx442 add 1 -77e-9 -> 0.999999923 addx443 add 1 -77e-10 -> 0.999999992 Inexact Rounded addx444 add 1 -77e-11 -> 0.999999999 Inexact Rounded addx445 add 1 -77e-12 -> 1.00000000 Inexact Rounded addx446 add 1 -77e-999 -> 1.00000000 Inexact Rounded addx447 add 1 -77e-9999999 -> 1.00000000 Inexact Rounded addx450 add 10 -77e-7 -> 9.9999923 addx451 add 10 -77e-8 -> 9.99999923 addx452 add 10 -77e-9 -> 9.99999992 Inexact Rounded addx453 add 10 -77e-10 -> 9.99999999 Inexact Rounded addx454 add 10 -77e-11 -> 10.0000000 Inexact Rounded addx455 add 10 -77e-12 -> 10.0000000 Inexact Rounded addx456 add 10 -77e-999 -> 10.0000000 Inexact Rounded addx457 add 10 -77e-9999999 -> 10.0000000 Inexact Rounded addx460 add -77e-7 1 -> 0.9999923 addx461 add -77e-8 1 -> 0.99999923 addx462 add -77e-9 1 -> 0.999999923 addx463 add -77e-10 1 -> 0.999999992 Inexact Rounded addx464 add -77e-11 1 -> 0.999999999 Inexact Rounded addx465 add -77e-12 1 -> 1.00000000 Inexact Rounded addx466 add -77e-999 1 -> 1.00000000 Inexact Rounded addx467 add -77e-9999999 1 -> 1.00000000 Inexact Rounded addx470 add -77e-7 10 -> 9.9999923 addx471 add -77e-8 10 -> 9.99999923 addx472 add -77e-9 10 -> 9.99999992 Inexact Rounded addx473 add -77e-10 10 -> 9.99999999 Inexact Rounded addx474 add -77e-11 10 -> 10.0000000 Inexact Rounded addx475 add -77e-12 10 -> 10.0000000 Inexact Rounded addx476 add -77e-999 10 -> 10.0000000 Inexact Rounded addx477 add -77e-9999999 10 -> 10.0000000 Inexact Rounded -- negative ulps addx480 add -1 77e-7 -> -0.9999923 addx481 add -1 77e-8 -> -0.99999923 addx482 add -1 77e-9 -> -0.999999923 addx483 add -1 77e-10 -> -0.999999992 Inexact Rounded addx484 add -1 77e-11 -> -0.999999999 Inexact Rounded addx485 add -1 77e-12 -> -1.00000000 Inexact Rounded addx486 add -1 77e-999 -> -1.00000000 Inexact Rounded addx487 add -1 77e-9999999 -> -1.00000000 Inexact Rounded addx490 add -10 77e-7 -> -9.9999923 addx491 add -10 77e-8 -> -9.99999923 addx492 add -10 77e-9 -> -9.99999992 Inexact Rounded addx493 add -10 77e-10 -> -9.99999999 Inexact Rounded addx494 add -10 77e-11 -> -10.0000000 Inexact Rounded addx495 add -10 77e-12 -> -10.0000000 Inexact Rounded addx496 add -10 77e-999 -> -10.0000000 Inexact Rounded addx497 add -10 77e-9999999 -> -10.0000000 Inexact Rounded addx500 add 77e-7 -1 -> -0.9999923 addx501 add 77e-8 -1 -> -0.99999923 addx502 add 77e-9 -1 -> -0.999999923 addx503 add 77e-10 -1 -> -0.999999992 Inexact Rounded addx504 add 77e-11 -1 -> -0.999999999 Inexact Rounded addx505 add 77e-12 -1 -> -1.00000000 Inexact Rounded addx506 add 77e-999 -1 -> -1.00000000 Inexact Rounded addx507 add 77e-9999999 -1 -> -1.00000000 Inexact Rounded addx510 add 77e-7 -10 -> -9.9999923 addx511 add 77e-8 -10 -> -9.99999923 addx512 add 77e-9 -10 -> -9.99999992 Inexact Rounded addx513 add 77e-10 -10 -> -9.99999999 Inexact Rounded addx514 add 77e-11 -10 -> -10.0000000 Inexact Rounded addx515 add 77e-12 -10 -> -10.0000000 Inexact Rounded addx516 add 77e-999 -10 -> -10.0000000 Inexact Rounded addx517 add 77e-9999999 -10 -> -10.0000000 Inexact Rounded -- long operands maxexponent: 999 minexponent: -999 precision: 9 addx521 add 12345678000 0 -> 1.23456780E+10 Rounded addx522 add 0 12345678000 -> 1.23456780E+10 Rounded addx523 add 1234567800 0 -> 1.23456780E+9 Rounded addx524 add 0 1234567800 -> 1.23456780E+9 Rounded addx525 add 1234567890 0 -> 1.23456789E+9 Rounded addx526 add 0 1234567890 -> 1.23456789E+9 Rounded addx527 add 1234567891 0 -> 1.23456789E+9 Inexact Rounded addx528 add 0 1234567891 -> 1.23456789E+9 Inexact Rounded addx529 add 12345678901 0 -> 1.23456789E+10 Inexact Rounded addx530 add 0 12345678901 -> 1.23456789E+10 Inexact Rounded addx531 add 1234567896 0 -> 1.23456790E+9 Inexact Rounded addx532 add 0 1234567896 -> 1.23456790E+9 Inexact Rounded precision: 15 -- still checking addx541 add 12345678000 0 -> 12345678000 addx542 add 0 12345678000 -> 12345678000 addx543 add 1234567800 0 -> 1234567800 addx544 add 0 1234567800 -> 1234567800 addx545 add 1234567890 0 -> 1234567890 addx546 add 0 1234567890 -> 1234567890 addx547 add 1234567891 0 -> 1234567891 addx548 add 0 1234567891 -> 1234567891 addx549 add 12345678901 0 -> 12345678901 addx550 add 0 12345678901 -> 12345678901 addx551 add 1234567896 0 -> 1234567896 addx552 add 0 1234567896 -> 1234567896 -- verify a query precision: 16 maxExponent: +394 minExponent: -393 rounding: down addx561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded addx562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded -- and using decimal64 bounds (see also ddadd.decTest) precision: 16 maxExponent: +384 minExponent: -383 rounding: down addx563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded addx564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded -- some more residue effects with extreme rounding precision: 9 rounding: half_up addx601 add 123456789 0.000001 -> 123456789 Inexact Rounded rounding: half_even addx602 add 123456789 0.000001 -> 123456789 Inexact Rounded rounding: half_down addx603 add 123456789 0.000001 -> 123456789 Inexact Rounded rounding: floor addx604 add 123456789 0.000001 -> 123456789 Inexact Rounded rounding: ceiling addx605 add 123456789 0.000001 -> 123456790 Inexact Rounded rounding: up addx606 add 123456789 0.000001 -> 123456790 Inexact Rounded rounding: down addx607 add 123456789 0.000001 -> 123456789 Inexact Rounded rounding: half_up addx611 add 123456789 -0.000001 -> 123456789 Inexact Rounded rounding: half_even addx612 add 123456789 -0.000001 -> 123456789 Inexact Rounded rounding: half_down addx613 add 123456789 -0.000001 -> 123456789 Inexact Rounded rounding: floor addx614 add 123456789 -0.000001 -> 123456788 Inexact Rounded rounding: ceiling addx615 add 123456789 -0.000001 -> 123456789 Inexact Rounded rounding: up addx616 add 123456789 -0.000001 -> 123456789 Inexact Rounded rounding: down addx617 add 123456789 -0.000001 -> 123456788 Inexact Rounded rounding: half_up addx621 add 123456789 0.499999 -> 123456789 Inexact Rounded rounding: half_even addx622 add 123456789 0.499999 -> 123456789 Inexact Rounded rounding: half_down addx623 add 123456789 0.499999 -> 123456789 Inexact Rounded rounding: floor addx624 add 123456789 0.499999 -> 123456789 Inexact Rounded rounding: ceiling addx625 add 123456789 0.499999 -> 123456790 Inexact Rounded rounding: up addx626 add 123456789 0.499999 -> 123456790 Inexact Rounded rounding: down addx627 add 123456789 0.499999 -> 123456789 Inexact Rounded rounding: half_up addx631 add 123456789 -0.499999 -> 123456789 Inexact Rounded rounding: half_even addx632 add 123456789 -0.499999 -> 123456789 Inexact Rounded rounding: half_down addx633 add 123456789 -0.499999 -> 123456789 Inexact Rounded rounding: floor addx634 add 123456789 -0.499999 -> 123456788 Inexact Rounded rounding: ceiling addx635 add 123456789 -0.499999 -> 123456789 Inexact Rounded rounding: up addx636 add 123456789 -0.499999 -> 123456789 Inexact Rounded rounding: down addx637 add 123456789 -0.499999 -> 123456788 Inexact Rounded rounding: half_up addx641 add 123456789 0.500001 -> 123456790 Inexact Rounded rounding: half_even addx642 add 123456789 0.500001 -> 123456790 Inexact Rounded rounding: half_down addx643 add 123456789 0.500001 -> 123456790 Inexact Rounded rounding: floor addx644 add 123456789 0.500001 -> 123456789 Inexact Rounded rounding: ceiling addx645 add 123456789 0.500001 -> 123456790 Inexact Rounded rounding: up addx646 add 123456789 0.500001 -> 123456790 Inexact Rounded rounding: down addx647 add 123456789 0.500001 -> 123456789 Inexact Rounded rounding: half_up addx651 add 123456789 -0.500001 -> 123456788 Inexact Rounded rounding: half_even addx652 add 123456789 -0.500001 -> 123456788 Inexact Rounded rounding: half_down addx653 add 123456789 -0.500001 -> 123456788 Inexact Rounded rounding: floor addx654 add 123456789 -0.500001 -> 123456788 Inexact Rounded rounding: ceiling addx655 add 123456789 -0.500001 -> 123456789 Inexact Rounded rounding: up addx656 add 123456789 -0.500001 -> 123456789 Inexact Rounded rounding: down addx657 add 123456789 -0.500001 -> 123456788 Inexact Rounded -- long operand triangle rounding: half_up precision: 37 addx660 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114834538 precision: 36 addx661 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483454 Inexact Rounded precision: 35 addx662 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148345 Inexact Rounded precision: 34 addx663 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337114835 Inexact Rounded precision: 33 addx664 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711483 Inexact Rounded precision: 32 addx665 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371148 Inexact Rounded precision: 31 addx666 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337115 Inexact Rounded precision: 30 addx667 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892233711 Inexact Rounded precision: 29 addx668 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223371 Inexact Rounded precision: 28 addx669 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922337 Inexact Rounded precision: 27 addx670 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892234 Inexact Rounded precision: 26 addx671 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389223 Inexact Rounded precision: 25 addx672 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023638922 Inexact Rounded precision: 24 addx673 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102363892 Inexact Rounded precision: 23 addx674 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236389 Inexact Rounded precision: 22 addx675 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211023639 Inexact Rounded precision: 21 addx676 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102364 Inexact Rounded precision: 20 addx677 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110236 Inexact Rounded precision: 19 addx678 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211024 Inexact Rounded precision: 18 addx679 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221102 Inexact Rounded precision: 17 addx680 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422110 Inexact Rounded precision: 16 addx681 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42211 Inexact Rounded precision: 15 addx682 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4221 Inexact Rounded precision: 14 addx683 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.422 Inexact Rounded precision: 13 addx684 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.42 Inexact Rounded precision: 12 addx685 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166.4 Inexact Rounded precision: 11 addx686 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 98471174166 Inexact Rounded precision: 10 addx687 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117417E+10 Inexact Rounded precision: 9 addx688 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84711742E+10 Inexact Rounded precision: 8 addx689 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471174E+10 Inexact Rounded precision: 7 addx690 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847117E+10 Inexact Rounded precision: 6 addx691 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.84712E+10 Inexact Rounded precision: 5 addx692 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8471E+10 Inexact Rounded precision: 4 addx693 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.847E+10 Inexact Rounded precision: 3 addx694 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.85E+10 Inexact Rounded precision: 2 addx695 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 9.8E+10 Inexact Rounded precision: 1 addx696 add 98471198160.56524417578665886060 -23994.14313393939743548945165462 -> 1E+11 Inexact Rounded -- more zeros, etc. rounding: half_up precision: 9 addx701 add 5.00 1.00E-3 -> 5.00100 addx702 add 00.00 0.000 -> 0.000 addx703 add 00.00 0E-3 -> 0.000 addx704 add 0E-3 00.00 -> 0.000 addx710 add 0E+3 00.00 -> 0.00 addx711 add 0E+3 00.0 -> 0.0 addx712 add 0E+3 00. -> 0 addx713 add 0E+3 00.E+1 -> 0E+1 addx714 add 0E+3 00.E+2 -> 0E+2 addx715 add 0E+3 00.E+3 -> 0E+3 addx716 add 0E+3 00.E+4 -> 0E+3 addx717 add 0E+3 00.E+5 -> 0E+3 addx718 add 0E+3 -00.0 -> 0.0 addx719 add 0E+3 -00. -> 0 addx731 add 0E+3 -00.E+1 -> 0E+1 addx720 add 00.00 0E+3 -> 0.00 addx721 add 00.0 0E+3 -> 0.0 addx722 add 00. 0E+3 -> 0 addx723 add 00.E+1 0E+3 -> 0E+1 addx724 add 00.E+2 0E+3 -> 0E+2 addx725 add 00.E+3 0E+3 -> 0E+3 addx726 add 00.E+4 0E+3 -> 0E+3 addx727 add 00.E+5 0E+3 -> 0E+3 addx728 add -00.00 0E+3 -> 0.00 addx729 add -00.0 0E+3 -> 0.0 addx730 add -00. 0E+3 -> 0 addx732 add 0 0 -> 0 addx733 add 0 -0 -> 0 addx734 add -0 0 -> 0 addx735 add -0 -0 -> -0 -- IEEE 854 special case addx736 add 1 -1 -> 0 addx737 add -1 -1 -> -2 addx738 add 1 1 -> 2 addx739 add -1 1 -> 0 addx741 add 0 -1 -> -1 addx742 add -0 -1 -> -1 addx743 add 0 1 -> 1 addx744 add -0 1 -> 1 addx745 add -1 0 -> -1 addx746 add -1 -0 -> -1 addx747 add 1 0 -> 1 addx748 add 1 -0 -> 1 addx751 add 0.0 -1 -> -1.0 addx752 add -0.0 -1 -> -1.0 addx753 add 0.0 1 -> 1.0 addx754 add -0.0 1 -> 1.0 addx755 add -1.0 0 -> -1.0 addx756 add -1.0 -0 -> -1.0 addx757 add 1.0 0 -> 1.0 addx758 add 1.0 -0 -> 1.0 addx761 add 0 -1.0 -> -1.0 addx762 add -0 -1.0 -> -1.0 addx763 add 0 1.0 -> 1.0 addx764 add -0 1.0 -> 1.0 addx765 add -1 0.0 -> -1.0 addx766 add -1 -0.0 -> -1.0 addx767 add 1 0.0 -> 1.0 addx768 add 1 -0.0 -> 1.0 addx771 add 0.0 -1.0 -> -1.0 addx772 add -0.0 -1.0 -> -1.0 addx773 add 0.0 1.0 -> 1.0 addx774 add -0.0 1.0 -> 1.0 addx775 add -1.0 0.0 -> -1.0 addx776 add -1.0 -0.0 -> -1.0 addx777 add 1.0 0.0 -> 1.0 addx778 add 1.0 -0.0 -> 1.0 -- Specials addx780 add -Inf -Inf -> -Infinity addx781 add -Inf -1000 -> -Infinity addx782 add -Inf -1 -> -Infinity addx783 add -Inf -0 -> -Infinity addx784 add -Inf 0 -> -Infinity addx785 add -Inf 1 -> -Infinity addx786 add -Inf 1000 -> -Infinity addx787 add -1000 -Inf -> -Infinity addx788 add -Inf -Inf -> -Infinity addx789 add -1 -Inf -> -Infinity addx790 add -0 -Inf -> -Infinity addx791 add 0 -Inf -> -Infinity addx792 add 1 -Inf -> -Infinity addx793 add 1000 -Inf -> -Infinity addx794 add Inf -Inf -> NaN Invalid_operation addx800 add Inf -Inf -> NaN Invalid_operation addx801 add Inf -1000 -> Infinity addx802 add Inf -1 -> Infinity addx803 add Inf -0 -> Infinity addx804 add Inf 0 -> Infinity addx805 add Inf 1 -> Infinity addx806 add Inf 1000 -> Infinity addx807 add Inf Inf -> Infinity addx808 add -1000 Inf -> Infinity addx809 add -Inf Inf -> NaN Invalid_operation addx810 add -1 Inf -> Infinity addx811 add -0 Inf -> Infinity addx812 add 0 Inf -> Infinity addx813 add 1 Inf -> Infinity addx814 add 1000 Inf -> Infinity addx815 add Inf Inf -> Infinity addx821 add NaN -Inf -> NaN addx822 add NaN -1000 -> NaN addx823 add NaN -1 -> NaN addx824 add NaN -0 -> NaN addx825 add NaN 0 -> NaN addx826 add NaN 1 -> NaN addx827 add NaN 1000 -> NaN addx828 add NaN Inf -> NaN addx829 add NaN NaN -> NaN addx830 add -Inf NaN -> NaN addx831 add -1000 NaN -> NaN addx832 add -1 NaN -> NaN addx833 add -0 NaN -> NaN addx834 add 0 NaN -> NaN addx835 add 1 NaN -> NaN addx836 add 1000 NaN -> NaN addx837 add Inf NaN -> NaN addx841 add sNaN -Inf -> NaN Invalid_operation addx842 add sNaN -1000 -> NaN Invalid_operation addx843 add sNaN -1 -> NaN Invalid_operation addx844 add sNaN -0 -> NaN Invalid_operation addx845 add sNaN 0 -> NaN Invalid_operation addx846 add sNaN 1 -> NaN Invalid_operation addx847 add sNaN 1000 -> NaN Invalid_operation addx848 add sNaN NaN -> NaN Invalid_operation addx849 add sNaN sNaN -> NaN Invalid_operation addx850 add NaN sNaN -> NaN Invalid_operation addx851 add -Inf sNaN -> NaN Invalid_operation addx852 add -1000 sNaN -> NaN Invalid_operation addx853 add -1 sNaN -> NaN Invalid_operation addx854 add -0 sNaN -> NaN Invalid_operation addx855 add 0 sNaN -> NaN Invalid_operation addx856 add 1 sNaN -> NaN Invalid_operation addx857 add 1000 sNaN -> NaN Invalid_operation addx858 add Inf sNaN -> NaN Invalid_operation addx859 add NaN sNaN -> NaN Invalid_operation -- propagating NaNs addx861 add NaN1 -Inf -> NaN1 addx862 add +NaN2 -1000 -> NaN2 addx863 add NaN3 1000 -> NaN3 addx864 add NaN4 Inf -> NaN4 addx865 add NaN5 +NaN6 -> NaN5 addx866 add -Inf NaN7 -> NaN7 addx867 add -1000 NaN8 -> NaN8 addx868 add 1000 NaN9 -> NaN9 addx869 add Inf +NaN10 -> NaN10 addx871 add sNaN11 -Inf -> NaN11 Invalid_operation addx872 add sNaN12 -1000 -> NaN12 Invalid_operation addx873 add sNaN13 1000 -> NaN13 Invalid_operation addx874 add sNaN14 NaN17 -> NaN14 Invalid_operation addx875 add sNaN15 sNaN18 -> NaN15 Invalid_operation addx876 add NaN16 sNaN19 -> NaN19 Invalid_operation addx877 add -Inf +sNaN20 -> NaN20 Invalid_operation addx878 add -1000 sNaN21 -> NaN21 Invalid_operation addx879 add 1000 sNaN22 -> NaN22 Invalid_operation addx880 add Inf sNaN23 -> NaN23 Invalid_operation addx881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation addx882 add -NaN26 NaN28 -> -NaN26 addx883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation addx884 add 1000 -NaN30 -> -NaN30 addx885 add 1000 -sNaN31 -> -NaN31 Invalid_operation -- overflow, underflow and subnormal tests maxexponent: 999999999 minexponent: -999999999 precision: 9 addx890 add 1E+999999999 9E+999999999 -> Infinity Overflow Inexact Rounded addx891 add 9E+999999999 1E+999999999 -> Infinity Overflow Inexact Rounded addx892 add -1.1E-999999999 1E-999999999 -> -1E-1000000000 Subnormal addx893 add 1E-999999999 -1.1e-999999999 -> -1E-1000000000 Subnormal addx894 add -1.0001E-999999999 1E-999999999 -> -1E-1000000003 Subnormal addx895 add 1E-999999999 -1.0001e-999999999 -> -1E-1000000003 Subnormal addx896 add -1E+999999999 -9E+999999999 -> -Infinity Overflow Inexact Rounded addx897 add -9E+999999999 -1E+999999999 -> -Infinity Overflow Inexact Rounded addx898 add +1.1E-999999999 -1E-999999999 -> 1E-1000000000 Subnormal addx899 add -1E-999999999 +1.1e-999999999 -> 1E-1000000000 Subnormal addx900 add +1.0001E-999999999 -1E-999999999 -> 1E-1000000003 Subnormal addx901 add -1E-999999999 +1.0001e-999999999 -> 1E-1000000003 Subnormal addx902 add -1E+999999999 +9E+999999999 -> 8E+999999999 addx903 add -9E+999999999 +1E+999999999 -> -8E+999999999 precision: 3 addx904 add 0 -9.999E+999999999 -> -Infinity Inexact Overflow Rounded addx905 add -9.999E+999999999 0 -> -Infinity Inexact Overflow Rounded addx906 add 0 9.999E+999999999 -> Infinity Inexact Overflow Rounded addx907 add 9.999E+999999999 0 -> Infinity Inexact Overflow Rounded precision: 3 maxexponent: 999 minexponent: -999 addx910 add 1.00E-999 0 -> 1.00E-999 addx911 add 0.1E-999 0 -> 1E-1000 Subnormal addx912 add 0.10E-999 0 -> 1.0E-1000 Subnormal addx913 add 0.100E-999 0 -> 1.0E-1000 Subnormal Rounded addx914 add 0.01E-999 0 -> 1E-1001 Subnormal -- next is rounded to Nmin addx915 add 0.999E-999 0 -> 1.00E-999 Inexact Rounded Subnormal Underflow addx916 add 0.099E-999 0 -> 1.0E-1000 Inexact Rounded Subnormal Underflow addx917 add 0.009E-999 0 -> 1E-1001 Inexact Rounded Subnormal Underflow addx918 add 0.001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped addx919 add 0.0009E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped addx920 add 0.0001E-999 0 -> 0E-1001 Inexact Rounded Subnormal Underflow Clamped addx930 add -1.00E-999 0 -> -1.00E-999 addx931 add -0.1E-999 0 -> -1E-1000 Subnormal addx932 add -0.10E-999 0 -> -1.0E-1000 Subnormal addx933 add -0.100E-999 0 -> -1.0E-1000 Subnormal Rounded addx934 add -0.01E-999 0 -> -1E-1001 Subnormal -- next is rounded to Nmin addx935 add -0.999E-999 0 -> -1.00E-999 Inexact Rounded Subnormal Underflow addx936 add -0.099E-999 0 -> -1.0E-1000 Inexact Rounded Subnormal Underflow addx937 add -0.009E-999 0 -> -1E-1001 Inexact Rounded Subnormal Underflow addx938 add -0.001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped addx939 add -0.0009E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped addx940 add -0.0001E-999 0 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped -- some non-zero subnormal adds addx950 add 1.00E-999 0.1E-999 -> 1.10E-999 addx951 add 0.1E-999 0.1E-999 -> 2E-1000 Subnormal addx952 add 0.10E-999 0.1E-999 -> 2.0E-1000 Subnormal addx953 add 0.100E-999 0.1E-999 -> 2.0E-1000 Subnormal Rounded addx954 add 0.01E-999 0.1E-999 -> 1.1E-1000 Subnormal addx955 add 0.999E-999 0.1E-999 -> 1.10E-999 Inexact Rounded addx956 add 0.099E-999 0.1E-999 -> 2.0E-1000 Inexact Rounded Subnormal Underflow addx957 add 0.009E-999 0.1E-999 -> 1.1E-1000 Inexact Rounded Subnormal Underflow addx958 add 0.001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow addx959 add 0.0009E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow addx960 add 0.0001E-999 0.1E-999 -> 1.0E-1000 Inexact Rounded Subnormal Underflow -- negatives... addx961 add 1.00E-999 -0.1E-999 -> 9.0E-1000 Subnormal addx962 add 0.1E-999 -0.1E-999 -> 0E-1000 addx963 add 0.10E-999 -0.1E-999 -> 0E-1001 addx964 add 0.100E-999 -0.1E-999 -> 0E-1001 Clamped addx965 add 0.01E-999 -0.1E-999 -> -9E-1001 Subnormal addx966 add 0.999E-999 -0.1E-999 -> 9.0E-1000 Inexact Rounded Subnormal Underflow addx967 add 0.099E-999 -0.1E-999 -> -0E-1001 Inexact Rounded Subnormal Underflow Clamped addx968 add 0.009E-999 -0.1E-999 -> -9E-1001 Inexact Rounded Subnormal Underflow addx969 add 0.001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow addx970 add 0.0009E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow addx971 add 0.0001E-999 -0.1E-999 -> -1.0E-1000 Inexact Rounded Subnormal Underflow -- some 'real' numbers maxExponent: 384 minExponent: -383 precision: 8 addx566 add 99999061735E-394 0E-394 -> 9.999906E-384 Inexact Rounded Underflow Subnormal precision: 7 addx567 add 99999061735E-394 0E-394 -> 9.99991E-384 Inexact Rounded Underflow Subnormal precision: 6 addx568 add 99999061735E-394 0E-394 -> 9.9999E-384 Inexact Rounded Underflow Subnormal -- now the case where we can get underflow but the result is normal -- [note this can't happen if the operands are also bounded, as we -- cannot represent 1E-399, for example] precision: 16 rounding: half_up maxExponent: 384 minExponent: -383 addx571 add 1E-383 0 -> 1E-383 addx572 add 1E-384 0 -> 1E-384 Subnormal addx573 add 1E-383 1E-384 -> 1.1E-383 addx574 subtract 1E-383 1E-384 -> 9E-384 Subnormal -- Here we explore the boundary of rounding a subnormal to Nmin addx575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal addx576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal addx577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded addx578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded addx579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded addx580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded -- check overflow edge case precision: 7 rounding: half_up maxExponent: 96 minExponent: -95 addx972 apply 9.999999E+96 -> 9.999999E+96 addx973 add 9.999999E+96 1 -> 9.999999E+96 Inexact Rounded addx974 add 9999999E+90 1 -> 9.999999E+96 Inexact Rounded addx975 add 9999999E+90 1E+90 -> Infinity Overflow Inexact Rounded addx976 add 9999999E+90 9E+89 -> Infinity Overflow Inexact Rounded addx977 add 9999999E+90 8E+89 -> Infinity Overflow Inexact Rounded addx978 add 9999999E+90 7E+89 -> Infinity Overflow Inexact Rounded addx979 add 9999999E+90 6E+89 -> Infinity Overflow Inexact Rounded addx980 add 9999999E+90 5E+89 -> Infinity Overflow Inexact Rounded addx981 add 9999999E+90 4E+89 -> 9.999999E+96 Inexact Rounded addx982 add 9999999E+90 3E+89 -> 9.999999E+96 Inexact Rounded addx983 add 9999999E+90 2E+89 -> 9.999999E+96 Inexact Rounded addx984 add 9999999E+90 1E+89 -> 9.999999E+96 Inexact Rounded addx985 apply -9.999999E+96 -> -9.999999E+96 addx986 add -9.999999E+96 -1 -> -9.999999E+96 Inexact Rounded addx987 add -9999999E+90 -1 -> -9.999999E+96 Inexact Rounded addx988 add -9999999E+90 -1E+90 -> -Infinity Overflow Inexact Rounded addx989 add -9999999E+90 -9E+89 -> -Infinity Overflow Inexact Rounded addx990 add -9999999E+90 -8E+89 -> -Infinity Overflow Inexact Rounded addx991 add -9999999E+90 -7E+89 -> -Infinity Overflow Inexact Rounded addx992 add -9999999E+90 -6E+89 -> -Infinity Overflow Inexact Rounded addx993 add -9999999E+90 -5E+89 -> -Infinity Overflow Inexact Rounded addx994 add -9999999E+90 -4E+89 -> -9.999999E+96 Inexact Rounded addx995 add -9999999E+90 -3E+89 -> -9.999999E+96 Inexact Rounded addx996 add -9999999E+90 -2E+89 -> -9.999999E+96 Inexact Rounded addx997 add -9999999E+90 -1E+89 -> -9.999999E+96 Inexact Rounded -- check for double-rounded subnormals precision: 5 maxexponent: 79 minexponent: -79 -- Add: lhs and rhs 0 addx1001 add 1.52444E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow addx1002 add 1.52445E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow addx1003 add 1.52446E-80 0 -> 1.524E-80 Inexact Rounded Subnormal Underflow addx1004 add 0 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow addx1005 add 0 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow addx1006 add 0 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow -- Add: lhs >> rhs and vice versa addx1011 add 1.52444E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow addx1012 add 1.52445E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow addx1013 add 1.52446E-80 1E-100 -> 1.524E-80 Inexact Rounded Subnormal Underflow addx1014 add 1E-100 1.52444E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow addx1015 add 1E-100 1.52445E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow addx1016 add 1E-100 1.52446E-80 -> 1.524E-80 Inexact Rounded Subnormal Underflow -- Add: lhs + rhs addition carried out addx1021 add 1.52443E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow addx1022 add 1.52444E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow addx1023 add 1.52445E-80 1.00001E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow addx1024 add 1.00001E-80 1.52443E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow addx1025 add 1.00001E-80 1.52444E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow addx1026 add 1.00001E-80 1.52445E-80 -> 2.524E-80 Inexact Rounded Subnormal Underflow -- And for round down full and subnormal results precision: 16 maxExponent: +384 minExponent: -383 rounding: down addx1100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact addx1101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact addx1103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact addx1104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact addx1105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact addx1106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact addx1107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact addx1108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact addx1109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact rounding: ceiling addx1110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact addx1111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact addx1113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact addx1114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact addx1115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact addx1116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact addx1117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact addx1118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact addx1119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact addx1120 add +1e-383 -1e+2 -> -99.99999999999999 Rounded Inexact addx1121 add +1e-383 -1e+1 -> -9.999999999999999 Rounded Inexact addx1123 add +1e-383 -1 -> -0.9999999999999999 Rounded Inexact addx1124 add +1e-383 -1e-1 -> -0.09999999999999999 Rounded Inexact addx1125 add +1e-383 -1e-2 -> -0.009999999999999999 Rounded Inexact addx1126 add +1e-383 -1e-3 -> -0.0009999999999999999 Rounded Inexact addx1127 add +1e-383 -1e-4 -> -0.00009999999999999999 Rounded Inexact addx1128 add +1e-383 -1e-5 -> -0.000009999999999999999 Rounded Inexact addx1129 add +1e-383 -1e-6 -> -9.999999999999999E-7 Rounded Inexact rounding: down precision: 7 maxExponent: +96 minExponent: -95 addx1130 add 1 -1e-200 -> 0.9999999 Rounded Inexact -- subnormal boundary addx1131 add 1.000000E-94 -1e-200 -> 9.999999E-95 Rounded Inexact addx1132 add 1.000001E-95 -1e-200 -> 1.000000E-95 Rounded Inexact addx1133 add 1.000000E-95 -1e-200 -> 9.99999E-96 Rounded Inexact Subnormal Underflow addx1134 add 0.999999E-95 -1e-200 -> 9.99998E-96 Rounded Inexact Subnormal Underflow addx1135 add 0.001000E-95 -1e-200 -> 9.99E-99 Rounded Inexact Subnormal Underflow addx1136 add 0.000999E-95 -1e-200 -> 9.98E-99 Rounded Inexact Subnormal Underflow addx1137 add 1.000000E-95 -1e-101 -> 9.99999E-96 Subnormal addx1138 add 10000E-101 -1e-200 -> 9.999E-98 Subnormal Inexact Rounded Underflow addx1139 add 1000E-101 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow addx1140 add 100E-101 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow addx1141 add 10E-101 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow addx1142 add 1E-101 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped addx1143 add 0E-101 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped addx1144 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped addx1151 add 10000E-102 -1e-200 -> 9.99E-99 Subnormal Inexact Rounded Underflow addx1152 add 1000E-102 -1e-200 -> 9.9E-100 Subnormal Inexact Rounded Underflow addx1153 add 100E-102 -1e-200 -> 9E-101 Subnormal Inexact Rounded Underflow addx1154 add 10E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped addx1155 add 1E-102 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped addx1156 add 0E-102 -1e-200 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped addx1157 add 1E-103 -1e-200 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped addx1160 add 100E-105 -1e-101 -> -0E-101 Subnormal Inexact Rounded Underflow Clamped addx1161 add 100E-105 -1e-201 -> 0E-101 Subnormal Inexact Rounded Underflow Clamped -- tests based on Gunnar Degnbol's edge case precision: 15 rounding: half_up maxExponent: 384 minexponent: -383 addx1200 add 1E15 -0.5 -> 1.00000000000000E+15 Inexact Rounded addx1201 add 1E15 -0.50 -> 1.00000000000000E+15 Inexact Rounded addx1210 add 1E15 -0.51 -> 999999999999999 Inexact Rounded addx1211 add 1E15 -0.501 -> 999999999999999 Inexact Rounded addx1212 add 1E15 -0.5001 -> 999999999999999 Inexact Rounded addx1213 add 1E15 -0.50001 -> 999999999999999 Inexact Rounded addx1214 add 1E15 -0.500001 -> 999999999999999 Inexact Rounded addx1215 add 1E15 -0.5000001 -> 999999999999999 Inexact Rounded addx1216 add 1E15 -0.50000001 -> 999999999999999 Inexact Rounded addx1217 add 1E15 -0.500000001 -> 999999999999999 Inexact Rounded addx1218 add 1E15 -0.5000000001 -> 999999999999999 Inexact Rounded addx1219 add 1E15 -0.50000000001 -> 999999999999999 Inexact Rounded addx1220 add 1E15 -0.500000000001 -> 999999999999999 Inexact Rounded addx1221 add 1E15 -0.5000000000001 -> 999999999999999 Inexact Rounded addx1222 add 1E15 -0.50000000000001 -> 999999999999999 Inexact Rounded addx1223 add 1E15 -0.500000000000001 -> 999999999999999 Inexact Rounded addx1224 add 1E15 -0.5000000000000001 -> 999999999999999 Inexact Rounded addx1225 add 1E15 -0.5000000000000000 -> 1.00000000000000E+15 Inexact Rounded addx1230 add 1E15 -5000000.000000001 -> 999999995000000 Inexact Rounded precision: 16 addx1300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded addx1310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded addx1311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded addx1312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded addx1313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded addx1314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded addx1315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded addx1316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded addx1317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded addx1318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded addx1319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded addx1320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded addx1321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded addx1322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded addx1323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded addx1324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded addx1325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded addx1326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded addx1327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded addx1328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded addx1329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded addx1330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded addx1331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded addx1332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded addx1333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded addx1334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded addx1335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded addx1336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded addx1337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded addx1338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded addx1339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded addx1340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded addx1341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded addx1349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded addx1350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded addx1351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded addx1352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded addx1353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded addx1354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded addx1355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded addx1356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded addx1357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded addx1358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded addx1359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded addx1360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded addx1361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded addx1362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded addx1363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded addx1364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded addx1365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded addx1367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded addx1368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded addx1369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded addx1370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded addx1371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded addx1372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded addx1373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded addx1374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded addx1375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded addx1376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded addx1377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded addx1378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded addx1379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded addx1380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded addx1381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded addx1382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded addx1383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded addx1384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded addx1385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded addx1386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded addx1387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded addx1388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded addx1389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded addx1390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded addx1391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded addx1392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded addx1393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded addx1394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded addx1395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded addx1396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded -- More GD edge cases, where difference between the unadjusted -- exponents is larger than the maximum precision and one side is 0 precision: 15 rounding: half_up maxExponent: 384 minexponent: -383 addx1400 add 0 1.23456789012345 -> 1.23456789012345 addx1401 add 0 1.23456789012345E-1 -> 0.123456789012345 addx1402 add 0 1.23456789012345E-2 -> 0.0123456789012345 addx1403 add 0 1.23456789012345E-3 -> 0.00123456789012345 addx1404 add 0 1.23456789012345E-4 -> 0.000123456789012345 addx1405 add 0 1.23456789012345E-5 -> 0.0000123456789012345 addx1406 add 0 1.23456789012345E-6 -> 0.00000123456789012345 addx1407 add 0 1.23456789012345E-7 -> 1.23456789012345E-7 addx1408 add 0 1.23456789012345E-8 -> 1.23456789012345E-8 addx1409 add 0 1.23456789012345E-9 -> 1.23456789012345E-9 addx1410 add 0 1.23456789012345E-10 -> 1.23456789012345E-10 addx1411 add 0 1.23456789012345E-11 -> 1.23456789012345E-11 addx1412 add 0 1.23456789012345E-12 -> 1.23456789012345E-12 addx1413 add 0 1.23456789012345E-13 -> 1.23456789012345E-13 addx1414 add 0 1.23456789012345E-14 -> 1.23456789012345E-14 addx1415 add 0 1.23456789012345E-15 -> 1.23456789012345E-15 addx1416 add 0 1.23456789012345E-16 -> 1.23456789012345E-16 addx1417 add 0 1.23456789012345E-17 -> 1.23456789012345E-17 addx1418 add 0 1.23456789012345E-18 -> 1.23456789012345E-18 addx1419 add 0 1.23456789012345E-19 -> 1.23456789012345E-19 -- same, precision 16.. precision: 16 addx1420 add 0 1.123456789012345 -> 1.123456789012345 addx1421 add 0 1.123456789012345E-1 -> 0.1123456789012345 addx1422 add 0 1.123456789012345E-2 -> 0.01123456789012345 addx1423 add 0 1.123456789012345E-3 -> 0.001123456789012345 addx1424 add 0 1.123456789012345E-4 -> 0.0001123456789012345 addx1425 add 0 1.123456789012345E-5 -> 0.00001123456789012345 addx1426 add 0 1.123456789012345E-6 -> 0.000001123456789012345 addx1427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7 addx1428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8 addx1429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9 addx1430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10 addx1431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11 addx1432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12 addx1433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13 addx1434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14 addx1435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15 addx1436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16 addx1437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17 addx1438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18 addx1439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19 -- same, reversed 0 addx1440 add 1.123456789012345 0 -> 1.123456789012345 addx1441 add 1.123456789012345E-1 0 -> 0.1123456789012345 addx1442 add 1.123456789012345E-2 0 -> 0.01123456789012345 addx1443 add 1.123456789012345E-3 0 -> 0.001123456789012345 addx1444 add 1.123456789012345E-4 0 -> 0.0001123456789012345 addx1445 add 1.123456789012345E-5 0 -> 0.00001123456789012345 addx1446 add 1.123456789012345E-6 0 -> 0.000001123456789012345 addx1447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7 addx1448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8 addx1449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9 addx1450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10 addx1451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11 addx1452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12 addx1453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13 addx1454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14 addx1455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15 addx1456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16 addx1457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17 addx1458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18 addx1459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19 -- same, Es on the 0 addx1460 add 1.123456789012345 0E-0 -> 1.123456789012345 addx1461 add 1.123456789012345 0E-1 -> 1.123456789012345 addx1462 add 1.123456789012345 0E-2 -> 1.123456789012345 addx1463 add 1.123456789012345 0E-3 -> 1.123456789012345 addx1464 add 1.123456789012345 0E-4 -> 1.123456789012345 addx1465 add 1.123456789012345 0E-5 -> 1.123456789012345 addx1466 add 1.123456789012345 0E-6 -> 1.123456789012345 addx1467 add 1.123456789012345 0E-7 -> 1.123456789012345 addx1468 add 1.123456789012345 0E-8 -> 1.123456789012345 addx1469 add 1.123456789012345 0E-9 -> 1.123456789012345 addx1470 add 1.123456789012345 0E-10 -> 1.123456789012345 addx1471 add 1.123456789012345 0E-11 -> 1.123456789012345 addx1472 add 1.123456789012345 0E-12 -> 1.123456789012345 addx1473 add 1.123456789012345 0E-13 -> 1.123456789012345 addx1474 add 1.123456789012345 0E-14 -> 1.123456789012345 addx1475 add 1.123456789012345 0E-15 -> 1.123456789012345 -- next four flag Rounded because the 0 extends the result addx1476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded addx1477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded addx1478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded addx1479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded -- sum of two opposite-sign operands is exactly 0 and floor => -0 precision: 16 maxExponent: 384 minexponent: -383 rounding: half_up -- exact zeros from zeros addx1500 add 0 0E-19 -> 0E-19 addx1501 add -0 0E-19 -> 0E-19 addx1502 add 0 -0E-19 -> 0E-19 addx1503 add -0 -0E-19 -> -0E-19 addx1504 add 0E-400 0E-19 -> 0E-398 Clamped addx1505 add -0E-400 0E-19 -> 0E-398 Clamped addx1506 add 0E-400 -0E-19 -> 0E-398 Clamped addx1507 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx1511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped addx1514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- some exact zeros from non-zeros addx1515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1516 add -1E-401 1E-401 -> 0E-398 Clamped addx1517 add 1E-401 -1E-401 -> 0E-398 Clamped addx1518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped rounding: half_down -- exact zeros from zeros addx1520 add 0 0E-19 -> 0E-19 addx1521 add -0 0E-19 -> 0E-19 addx1522 add 0 -0E-19 -> 0E-19 addx1523 add -0 -0E-19 -> -0E-19 addx1524 add 0E-400 0E-19 -> 0E-398 Clamped addx1525 add -0E-400 0E-19 -> 0E-398 Clamped addx1526 add 0E-400 -0E-19 -> 0E-398 Clamped addx1527 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx1531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped addx1534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- some exact zeros from non-zeros addx1535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1536 add -1E-401 1E-401 -> 0E-398 Clamped addx1537 add 1E-401 -1E-401 -> 0E-398 Clamped addx1538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped rounding: half_even -- exact zeros from zeros addx1540 add 0 0E-19 -> 0E-19 addx1541 add -0 0E-19 -> 0E-19 addx1542 add 0 -0E-19 -> 0E-19 addx1543 add -0 -0E-19 -> -0E-19 addx1544 add 0E-400 0E-19 -> 0E-398 Clamped addx1545 add -0E-400 0E-19 -> 0E-398 Clamped addx1546 add 0E-400 -0E-19 -> 0E-398 Clamped addx1547 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx1551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped addx1554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- some exact zeros from non-zeros addx1555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1556 add -1E-401 1E-401 -> 0E-398 Clamped addx1557 add 1E-401 -1E-401 -> 0E-398 Clamped addx1558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped rounding: up -- exact zeros from zeros addx1560 add 0 0E-19 -> 0E-19 addx1561 add -0 0E-19 -> 0E-19 addx1562 add 0 -0E-19 -> 0E-19 addx1563 add -0 -0E-19 -> -0E-19 addx1564 add 0E-400 0E-19 -> 0E-398 Clamped addx1565 add -0E-400 0E-19 -> 0E-398 Clamped addx1566 add 0E-400 -0E-19 -> 0E-398 Clamped addx1567 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx1571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow addx1572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow addx1573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow addx1574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow -- some exact zeros from non-zeros addx1575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow addx1576 add -1E-401 1E-401 -> 0E-398 Clamped addx1577 add 1E-401 -1E-401 -> 0E-398 Clamped addx1578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow rounding: down -- exact zeros from zeros addx1580 add 0 0E-19 -> 0E-19 addx1581 add -0 0E-19 -> 0E-19 addx1582 add 0 -0E-19 -> 0E-19 addx1583 add -0 -0E-19 -> -0E-19 addx1584 add 0E-400 0E-19 -> 0E-398 Clamped addx1585 add -0E-400 0E-19 -> 0E-398 Clamped addx1586 add 0E-400 -0E-19 -> 0E-398 Clamped addx1587 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx1591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped addx1594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- some exact zeros from non-zeros addx1595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1596 add -1E-401 1E-401 -> 0E-398 Clamped addx1597 add 1E-401 -1E-401 -> 0E-398 Clamped addx1598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped rounding: ceiling -- exact zeros from zeros addx1600 add 0 0E-19 -> 0E-19 addx1601 add -0 0E-19 -> 0E-19 addx1602 add 0 -0E-19 -> 0E-19 addx1603 add -0 -0E-19 -> -0E-19 addx1604 add 0E-400 0E-19 -> 0E-398 Clamped addx1605 add -0E-400 0E-19 -> 0E-398 Clamped addx1606 add 0E-400 -0E-19 -> 0E-398 Clamped addx1607 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx1611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow addx1612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow addx1613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped addx1614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- some exact zeros from non-zeros addx1615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow addx1616 add -1E-401 1E-401 -> 0E-398 Clamped addx1617 add 1E-401 -1E-401 -> 0E-398 Clamped addx1618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- and the extra-special ugly case; unusual minuses marked by -- * rounding: floor -- exact zeros from zeros addx1620 add 0 0E-19 -> 0E-19 addx1621 add -0 0E-19 -> -0E-19 -- * addx1622 add 0 -0E-19 -> -0E-19 -- * addx1623 add -0 -0E-19 -> -0E-19 addx1624 add 0E-400 0E-19 -> 0E-398 Clamped addx1625 add -0E-400 0E-19 -> -0E-398 Clamped -- * addx1626 add 0E-400 -0E-19 -> -0E-398 Clamped -- * addx1627 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx1631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow addx1634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow -- some exact zeros from non-zeros addx1635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx1636 add -1E-401 1E-401 -> -0E-398 Clamped -- * addx1637 add 1E-401 -1E-401 -> -0E-398 Clamped -- * addx1638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow -- BigDecimal problem testcases 2006.01.23 precision: 16 maxExponent: 384 minexponent: -383 rounding: down precision: 7 addx1651 add 10001E+2 -2E+1 -> 1.00008E+6 precision: 6 addx1652 add 10001E+2 -2E+1 -> 1.00008E+6 precision: 5 addx1653 add 10001E+2 -2E+1 -> 1.0000E+6 Inexact Rounded precision: 4 addx1654 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded precision: 3 addx1655 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded precision: 2 addx1656 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded precision: 1 addx1657 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded rounding: half_even precision: 7 addx1661 add 10001E+2 -2E+1 -> 1.00008E+6 precision: 6 addx1662 add 10001E+2 -2E+1 -> 1.00008E+6 precision: 5 addx1663 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded precision: 4 addx1664 add 10001E+2 -2E+1 -> 1.000E+6 Inexact Rounded precision: 3 addx1665 add 10001E+2 -2E+1 -> 1.00E+6 Inexact Rounded precision: 2 addx1666 add 10001E+2 -2E+1 -> 1.0E+6 Inexact Rounded precision: 1 addx1667 add 10001E+2 -2E+1 -> 1E+6 Inexact Rounded rounding: up precision: 7 addx1671 add 10001E+2 -2E+1 -> 1.00008E+6 precision: 6 addx1672 add 10001E+2 -2E+1 -> 1.00008E+6 precision: 5 addx1673 add 10001E+2 -2E+1 -> 1.0001E+6 Inexact Rounded precision: 4 addx1674 add 10001E+2 -2E+1 -> 1.001E+6 Inexact Rounded precision: 3 addx1675 add 10001E+2 -2E+1 -> 1.01E+6 Inexact Rounded precision: 2 addx1676 add 10001E+2 -2E+1 -> 1.1E+6 Inexact Rounded precision: 1 addx1677 add 10001E+2 -2E+1 -> 2E+6 Inexact Rounded precision: 34 rounding: half_up maxExponent: 6144 minExponent: -6143 -- Examples from SQL proposal (Krishna Kulkarni) addx1701 add 130E-2 120E-2 -> 2.50 addx1702 add 130E-2 12E-1 -> 2.50 addx1703 add 130E-2 1E0 -> 2.30 addx1704 add 1E2 1E4 -> 1.01E+4 addx1705 subtract 130E-2 120E-2 -> 0.10 addx1706 subtract 130E-2 12E-1 -> 0.10 addx1707 subtract 130E-2 1E0 -> 0.30 addx1708 subtract 1E2 1E4 -> -9.9E+3 ------------------------------------------------------------------------ -- Same as above, using decimal64 default parameters -- ------------------------------------------------------------------------ precision: 16 rounding: half_even maxExponent: 384 minexponent: -383 -- [first group are 'quick confidence check'] addx6001 add 1 1 -> 2 addx6002 add 2 3 -> 5 addx6003 add '5.75' '3.3' -> 9.05 addx6004 add '5' '-3' -> 2 addx6005 add '-5' '-3' -> -8 addx6006 add '-7' '2.5' -> -4.5 addx6007 add '0.7' '0.3' -> 1.0 addx6008 add '1.25' '1.25' -> 2.50 addx6009 add '1.23456789' '1.00000000' -> '2.23456789' addx6010 add '1.23456789' '1.00000011' -> '2.23456800' addx6011 add '0.44444444444444444' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded addx6012 add '0.44444444444444440' '0.55555555555555555' -> '1.000000000000000' Inexact Rounded addx6013 add '0.44444444444444444' '0.55555555555555550' -> '0.9999999999999999' Inexact Rounded addx6014 add '0.444444444444444449' '0' -> '0.4444444444444444' Inexact Rounded addx6015 add '0.4444444444444444499' '0' -> '0.4444444444444444' Inexact Rounded addx6016 add '0.44444444444444444999' '0' -> '0.4444444444444444' Inexact Rounded addx6017 add '0.44444444444444445000' '0' -> '0.4444444444444444' Inexact Rounded addx6018 add '0.44444444444444445001' '0' -> '0.4444444444444445' Inexact Rounded addx6019 add '0.4444444444444444501' '0' -> '0.4444444444444445' Inexact Rounded addx6020 add '0.444444444444444451' '0' -> '0.4444444444444445' Inexact Rounded addx6021 add 0 1 -> 1 addx6022 add 1 1 -> 2 addx6023 add 2 1 -> 3 addx6024 add 3 1 -> 4 addx6025 add 4 1 -> 5 addx6026 add 5 1 -> 6 addx6027 add 6 1 -> 7 addx6028 add 7 1 -> 8 addx6029 add 8 1 -> 9 addx6030 add 9 1 -> 10 -- some carrying effects addx6031 add '0.9998' '0.0000' -> '0.9998' addx6032 add '0.9998' '0.0001' -> '0.9999' addx6033 add '0.9998' '0.0002' -> '1.0000' addx6034 add '0.9998' '0.0003' -> '1.0001' addx6035 add '70' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded addx6036 add '700' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded addx6037 add '7000' '10000e+16' -> '1.000000000000000E+20' Inexact Rounded addx6038 add '70000' '10000e+16' -> '1.000000000000001E+20' Inexact Rounded addx6039 add '700000' '10000e+16' -> '1.000000000000007E+20' Rounded -- symmetry: addx6040 add '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded addx6041 add '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded addx6042 add '10000e+16' '7000' -> '1.000000000000000E+20' Inexact Rounded addx6044 add '10000e+16' '70000' -> '1.000000000000001E+20' Inexact Rounded addx6045 add '10000e+16' '700000' -> '1.000000000000007E+20' Rounded addx6046 add '10000e+9' '7' -> '10000000000007' addx6047 add '10000e+9' '70' -> '10000000000070' addx6048 add '10000e+9' '700' -> '10000000000700' addx6049 add '10000e+9' '7000' -> '10000000007000' addx6050 add '10000e+9' '70000' -> '10000000070000' addx6051 add '10000e+9' '700000' -> '10000000700000' -- examples from decarith addx6053 add '12' '7.00' -> '19.00' addx6054 add '1.3' '-1.07' -> '0.23' addx6055 add '1.3' '-1.30' -> '0.00' addx6056 add '1.3' '-2.07' -> '-0.77' addx6057 add '1E+2' '1E+4' -> '1.01E+4' -- from above addx6060 add 1 '0.1' -> '1.1' addx6061 add 1 '0.01' -> '1.01' addx6062 add 1 '0.001' -> '1.001' addx6063 add 1 '0.0001' -> '1.0001' addx6064 add 1 '0.00001' -> '1.00001' addx6065 add 1 '0.000001' -> '1.000001' addx6066 add 1 '0.0000001' -> '1.0000001' addx6067 add 1 '0.00000001' -> '1.00000001' -- cancellation to integer addx6068 add 99999999999999123456789 -99999999999999E+9 -> 123456789 -- similar from FMA fun addx6069 add "-1234567890123455.234567890123454" "1234567890123456" -> 0.765432109876546 -- some funny zeros [in case of bad signum] addx6070 add 1 0 -> 1 addx6071 add 1 0. -> 1 addx6072 add 1 .0 -> 1.0 addx6073 add 1 0.0 -> 1.0 addx6074 add 1 0.00 -> 1.00 addx6075 add 0 1 -> 1 addx6076 add 0. 1 -> 1 addx6077 add .0 1 -> 1.0 addx6078 add 0.0 1 -> 1.0 addx6079 add 0.00 1 -> 1.00 -- some carries addx6080 add 9999999999999998 1 -> 9999999999999999 addx6081 add 9999999999999999 1 -> 1.000000000000000E+16 Rounded addx6082 add 999999999999999 1 -> 1000000000000000 addx6083 add 9999999999999 1 -> 10000000000000 addx6084 add 99999999999 1 -> 100000000000 addx6085 add 999999999 1 -> 1000000000 addx6086 add 9999999 1 -> 10000000 addx6087 add 99999 1 -> 100000 addx6088 add 999 1 -> 1000 addx6089 add 9 1 -> 10 -- more LHS swaps addx6090 add '-56267E-10' 0 -> '-0.0000056267' addx6091 add '-56267E-6' 0 -> '-0.056267' addx6092 add '-56267E-5' 0 -> '-0.56267' addx6093 add '-56267E-4' 0 -> '-5.6267' addx6094 add '-56267E-3' 0 -> '-56.267' addx6095 add '-56267E-2' 0 -> '-562.67' addx6096 add '-56267E-1' 0 -> '-5626.7' addx6097 add '-56267E-0' 0 -> '-56267' addx6098 add '-5E-10' 0 -> '-5E-10' addx6099 add '-5E-7' 0 -> '-5E-7' addx6100 add '-5E-6' 0 -> '-0.000005' addx6101 add '-5E-5' 0 -> '-0.00005' addx6102 add '-5E-4' 0 -> '-0.0005' addx6103 add '-5E-1' 0 -> '-0.5' addx6104 add '-5E0' 0 -> '-5' addx6105 add '-5E1' 0 -> '-50' addx6106 add '-5E5' 0 -> '-500000' addx6107 add '-5E15' 0 -> '-5000000000000000' addx6108 add '-5E16' 0 -> '-5.000000000000000E+16' Rounded addx6109 add '-5E17' 0 -> '-5.000000000000000E+17' Rounded addx6110 add '-5E18' 0 -> '-5.000000000000000E+18' Rounded addx6111 add '-5E100' 0 -> '-5.000000000000000E+100' Rounded -- more RHS swaps addx6113 add 0 '-56267E-10' -> '-0.0000056267' addx6114 add 0 '-56267E-6' -> '-0.056267' addx6116 add 0 '-56267E-5' -> '-0.56267' addx6117 add 0 '-56267E-4' -> '-5.6267' addx6119 add 0 '-56267E-3' -> '-56.267' addx6120 add 0 '-56267E-2' -> '-562.67' addx6121 add 0 '-56267E-1' -> '-5626.7' addx6122 add 0 '-56267E-0' -> '-56267' addx6123 add 0 '-5E-10' -> '-5E-10' addx6124 add 0 '-5E-7' -> '-5E-7' addx6125 add 0 '-5E-6' -> '-0.000005' addx6126 add 0 '-5E-5' -> '-0.00005' addx6127 add 0 '-5E-4' -> '-0.0005' addx6128 add 0 '-5E-1' -> '-0.5' addx6129 add 0 '-5E0' -> '-5' addx6130 add 0 '-5E1' -> '-50' addx6131 add 0 '-5E5' -> '-500000' addx6132 add 0 '-5E15' -> '-5000000000000000' addx6133 add 0 '-5E16' -> '-5.000000000000000E+16' Rounded addx6134 add 0 '-5E17' -> '-5.000000000000000E+17' Rounded addx6135 add 0 '-5E18' -> '-5.000000000000000E+18' Rounded addx6136 add 0 '-5E100' -> '-5.000000000000000E+100' Rounded -- related addx6137 add 1 '0E-19' -> '1.000000000000000' Rounded addx6138 add -1 '0E-19' -> '-1.000000000000000' Rounded addx6139 add '0E-19' 1 -> '1.000000000000000' Rounded addx6140 add '0E-19' -1 -> '-1.000000000000000' Rounded addx6141 add 1E+11 0.0000 -> '100000000000.0000' addx6142 add 1E+11 0.00000 -> '100000000000.0000' Rounded addx6143 add 0.000 1E+12 -> '1000000000000.000' addx6144 add 0.0000 1E+12 -> '1000000000000.000' Rounded -- [some of the next group are really constructor tests] addx6146 add '00.0' 0 -> '0.0' addx6147 add '0.00' 0 -> '0.00' addx6148 add 0 '0.00' -> '0.00' addx6149 add 0 '00.0' -> '0.0' addx6150 add '00.0' '0.00' -> '0.00' addx6151 add '0.00' '00.0' -> '0.00' addx6152 add '3' '.3' -> '3.3' addx6153 add '3.' '.3' -> '3.3' addx6154 add '3.0' '.3' -> '3.3' addx6155 add '3.00' '.3' -> '3.30' addx6156 add '3' '3' -> '6' addx6157 add '3' '+3' -> '6' addx6158 add '3' '-3' -> '0' addx6159 add '0.3' '-0.3' -> '0.0' addx6160 add '0.03' '-0.03' -> '0.00' -- try borderline precision, with carries, etc. addx6161 add '1E+13' '-1' -> '9999999999999' addx6162 add '1E+13' '1.11' -> '10000000000001.11' addx6163 add '1.11' '1E+13' -> '10000000000001.11' addx6164 add '-1' '1E+13' -> '9999999999999' addx6165 add '7E+13' '-1' -> '69999999999999' addx6166 add '7E+13' '1.11' -> '70000000000001.11' addx6167 add '1.11' '7E+13' -> '70000000000001.11' addx6168 add '-1' '7E+13' -> '69999999999999' -- 1234567890123456 1234567890123456 1 234567890123456 addx6170 add '0.4444444444444444' '0.5555555555555563' -> '1.000000000000001' Inexact Rounded addx6171 add '0.4444444444444444' '0.5555555555555562' -> '1.000000000000001' Inexact Rounded addx6172 add '0.4444444444444444' '0.5555555555555561' -> '1.000000000000000' Inexact Rounded addx6173 add '0.4444444444444444' '0.5555555555555560' -> '1.000000000000000' Inexact Rounded addx6174 add '0.4444444444444444' '0.5555555555555559' -> '1.000000000000000' Inexact Rounded addx6175 add '0.4444444444444444' '0.5555555555555558' -> '1.000000000000000' Inexact Rounded addx6176 add '0.4444444444444444' '0.5555555555555557' -> '1.000000000000000' Inexact Rounded addx6177 add '0.4444444444444444' '0.5555555555555556' -> '1.000000000000000' Rounded addx6178 add '0.4444444444444444' '0.5555555555555555' -> '0.9999999999999999' addx6179 add '0.4444444444444444' '0.5555555555555554' -> '0.9999999999999998' addx6180 add '0.4444444444444444' '0.5555555555555553' -> '0.9999999999999997' addx6181 add '0.4444444444444444' '0.5555555555555552' -> '0.9999999999999996' addx6182 add '0.4444444444444444' '0.5555555555555551' -> '0.9999999999999995' addx6183 add '0.4444444444444444' '0.5555555555555550' -> '0.9999999999999994' -- and some more, including residue effects and different roundings rounding: half_up addx6200 add '6543210123456789' 0 -> '6543210123456789' addx6201 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded addx6202 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded addx6203 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded addx6204 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded addx6205 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded addx6206 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded addx6207 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded addx6208 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded addx6209 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded addx6210 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded addx6211 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded addx6212 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded addx6213 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded addx6214 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded addx6215 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded addx6216 add '6543210123456789' 1 -> '6543210123456790' addx6217 add '6543210123456789' 1.000000001 -> '6543210123456790' Inexact Rounded addx6218 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded addx6219 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded rounding: half_even addx6220 add '6543210123456789' 0 -> '6543210123456789' addx6221 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded addx6222 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded addx6223 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded addx6224 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded addx6225 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded addx6226 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded addx6227 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded addx6228 add '6543210123456789' 0.5 -> '6543210123456790' Inexact Rounded addx6229 add '6543210123456789' 0.500000001 -> '6543210123456790' Inexact Rounded addx6230 add '6543210123456789' 0.500001 -> '6543210123456790' Inexact Rounded addx6231 add '6543210123456789' 0.51 -> '6543210123456790' Inexact Rounded addx6232 add '6543210123456789' 0.6 -> '6543210123456790' Inexact Rounded addx6233 add '6543210123456789' 0.9 -> '6543210123456790' Inexact Rounded addx6234 add '6543210123456789' 0.99999 -> '6543210123456790' Inexact Rounded addx6235 add '6543210123456789' 0.999999999 -> '6543210123456790' Inexact Rounded addx6236 add '6543210123456789' 1 -> '6543210123456790' addx6237 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded addx6238 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded addx6239 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded -- critical few with even bottom digit... addx6240 add '6543210123456788' 0.499999999 -> '6543210123456788' Inexact Rounded addx6241 add '6543210123456788' 0.5 -> '6543210123456788' Inexact Rounded addx6242 add '6543210123456788' 0.500000001 -> '6543210123456789' Inexact Rounded rounding: down addx6250 add '6543210123456789' 0 -> '6543210123456789' addx6251 add '6543210123456789' 0.000000001 -> '6543210123456789' Inexact Rounded addx6252 add '6543210123456789' 0.000001 -> '6543210123456789' Inexact Rounded addx6253 add '6543210123456789' 0.1 -> '6543210123456789' Inexact Rounded addx6254 add '6543210123456789' 0.4 -> '6543210123456789' Inexact Rounded addx6255 add '6543210123456789' 0.49 -> '6543210123456789' Inexact Rounded addx6256 add '6543210123456789' 0.499999 -> '6543210123456789' Inexact Rounded addx6257 add '6543210123456789' 0.499999999 -> '6543210123456789' Inexact Rounded addx6258 add '6543210123456789' 0.5 -> '6543210123456789' Inexact Rounded addx6259 add '6543210123456789' 0.500000001 -> '6543210123456789' Inexact Rounded addx6260 add '6543210123456789' 0.500001 -> '6543210123456789' Inexact Rounded addx6261 add '6543210123456789' 0.51 -> '6543210123456789' Inexact Rounded addx6262 add '6543210123456789' 0.6 -> '6543210123456789' Inexact Rounded addx6263 add '6543210123456789' 0.9 -> '6543210123456789' Inexact Rounded addx6264 add '6543210123456789' 0.99999 -> '6543210123456789' Inexact Rounded addx6265 add '6543210123456789' 0.999999999 -> '6543210123456789' Inexact Rounded addx6266 add '6543210123456789' 1 -> '6543210123456790' addx6267 add '6543210123456789' 1.00000001 -> '6543210123456790' Inexact Rounded addx6268 add '6543210123456789' 1.00001 -> '6543210123456790' Inexact Rounded addx6269 add '6543210123456789' 1.1 -> '6543210123456790' Inexact Rounded -- 1 in last place tests rounding: half_even addx6301 add -1 1 -> 0 addx6302 add 0 1 -> 1 addx6303 add 1 1 -> 2 addx6304 add 12 1 -> 13 addx6305 add 98 1 -> 99 addx6306 add 99 1 -> 100 addx6307 add 100 1 -> 101 addx6308 add 101 1 -> 102 addx6309 add -1 -1 -> -2 addx6310 add 0 -1 -> -1 addx6311 add 1 -1 -> 0 addx6312 add 12 -1 -> 11 addx6313 add 98 -1 -> 97 addx6314 add 99 -1 -> 98 addx6315 add 100 -1 -> 99 addx6316 add 101 -1 -> 100 addx6321 add -0.01 0.01 -> 0.00 addx6322 add 0.00 0.01 -> 0.01 addx6323 add 0.01 0.01 -> 0.02 addx6324 add 0.12 0.01 -> 0.13 addx6325 add 0.98 0.01 -> 0.99 addx6326 add 0.99 0.01 -> 1.00 addx6327 add 1.00 0.01 -> 1.01 addx6328 add 1.01 0.01 -> 1.02 addx6329 add -0.01 -0.01 -> -0.02 addx6330 add 0.00 -0.01 -> -0.01 addx6331 add 0.01 -0.01 -> 0.00 addx6332 add 0.12 -0.01 -> 0.11 addx6333 add 0.98 -0.01 -> 0.97 addx6334 add 0.99 -0.01 -> 0.98 addx6335 add 1.00 -0.01 -> 0.99 addx6336 add 1.01 -0.01 -> 1.00 -- some more cases where adding 0 affects the coefficient addx6340 add 1E+3 0 -> 1000 addx6341 add 1E+15 0 -> 1000000000000000 addx6342 add 1E+16 0 -> 1.000000000000000E+16 Rounded addx6343 add 1E+17 0 -> 1.000000000000000E+17 Rounded -- which simply follow from these cases ... addx6344 add 1E+3 1 -> 1001 addx6345 add 1E+15 1 -> 1000000000000001 addx6346 add 1E+16 1 -> 1.000000000000000E+16 Inexact Rounded addx6347 add 1E+17 1 -> 1.000000000000000E+17 Inexact Rounded addx6348 add 1E+3 7 -> 1007 addx6349 add 1E+15 7 -> 1000000000000007 addx6350 add 1E+16 7 -> 1.000000000000001E+16 Inexact Rounded addx6351 add 1E+17 7 -> 1.000000000000000E+17 Inexact Rounded -- tryzeros cases addx6361 add 0E+50 10000E+1 -> 1.0000E+5 addx6362 add 10000E+1 0E-50 -> 100000.0000000000 Rounded addx6363 add 10000E+1 10000E-50 -> 100000.0000000000 Rounded Inexact addx6364 add 12.34 0e-398 -> 12.34000000000000 Rounded -- ulp replacement tests addx6400 add 1 77e-14 -> 1.00000000000077 addx6401 add 1 77e-15 -> 1.000000000000077 addx6402 add 1 77e-16 -> 1.000000000000008 Inexact Rounded addx6403 add 1 77e-17 -> 1.000000000000001 Inexact Rounded addx6404 add 1 77e-18 -> 1.000000000000000 Inexact Rounded addx6405 add 1 77e-19 -> 1.000000000000000 Inexact Rounded addx6406 add 1 77e-99 -> 1.000000000000000 Inexact Rounded addx6410 add 10 77e-14 -> 10.00000000000077 addx6411 add 10 77e-15 -> 10.00000000000008 Inexact Rounded addx6412 add 10 77e-16 -> 10.00000000000001 Inexact Rounded addx6413 add 10 77e-17 -> 10.00000000000000 Inexact Rounded addx6414 add 10 77e-18 -> 10.00000000000000 Inexact Rounded addx6415 add 10 77e-19 -> 10.00000000000000 Inexact Rounded addx6416 add 10 77e-99 -> 10.00000000000000 Inexact Rounded addx6420 add 77e-14 1 -> 1.00000000000077 addx6421 add 77e-15 1 -> 1.000000000000077 addx6422 add 77e-16 1 -> 1.000000000000008 Inexact Rounded addx6423 add 77e-17 1 -> 1.000000000000001 Inexact Rounded addx6424 add 77e-18 1 -> 1.000000000000000 Inexact Rounded addx6425 add 77e-19 1 -> 1.000000000000000 Inexact Rounded addx6426 add 77e-99 1 -> 1.000000000000000 Inexact Rounded addx6430 add 77e-14 10 -> 10.00000000000077 addx6431 add 77e-15 10 -> 10.00000000000008 Inexact Rounded addx6432 add 77e-16 10 -> 10.00000000000001 Inexact Rounded addx6433 add 77e-17 10 -> 10.00000000000000 Inexact Rounded addx6434 add 77e-18 10 -> 10.00000000000000 Inexact Rounded addx6435 add 77e-19 10 -> 10.00000000000000 Inexact Rounded addx6436 add 77e-99 10 -> 10.00000000000000 Inexact Rounded -- negative ulps addx6440 add 1 -77e-14 -> 0.99999999999923 addx6441 add 1 -77e-15 -> 0.999999999999923 addx6442 add 1 -77e-16 -> 0.9999999999999923 addx6443 add 1 -77e-17 -> 0.9999999999999992 Inexact Rounded addx6444 add 1 -77e-18 -> 0.9999999999999999 Inexact Rounded addx6445 add 1 -77e-19 -> 1.000000000000000 Inexact Rounded addx6446 add 1 -77e-99 -> 1.000000000000000 Inexact Rounded addx6450 add 10 -77e-14 -> 9.99999999999923 addx6451 add 10 -77e-15 -> 9.999999999999923 addx6452 add 10 -77e-16 -> 9.999999999999992 Inexact Rounded addx6453 add 10 -77e-17 -> 9.999999999999999 Inexact Rounded addx6454 add 10 -77e-18 -> 10.00000000000000 Inexact Rounded addx6455 add 10 -77e-19 -> 10.00000000000000 Inexact Rounded addx6456 add 10 -77e-99 -> 10.00000000000000 Inexact Rounded addx6460 add -77e-14 1 -> 0.99999999999923 addx6461 add -77e-15 1 -> 0.999999999999923 addx6462 add -77e-16 1 -> 0.9999999999999923 addx6463 add -77e-17 1 -> 0.9999999999999992 Inexact Rounded addx6464 add -77e-18 1 -> 0.9999999999999999 Inexact Rounded addx6465 add -77e-19 1 -> 1.000000000000000 Inexact Rounded addx6466 add -77e-99 1 -> 1.000000000000000 Inexact Rounded addx6470 add -77e-14 10 -> 9.99999999999923 addx6471 add -77e-15 10 -> 9.999999999999923 addx6472 add -77e-16 10 -> 9.999999999999992 Inexact Rounded addx6473 add -77e-17 10 -> 9.999999999999999 Inexact Rounded addx6474 add -77e-18 10 -> 10.00000000000000 Inexact Rounded addx6475 add -77e-19 10 -> 10.00000000000000 Inexact Rounded addx6476 add -77e-99 10 -> 10.00000000000000 Inexact Rounded -- negative ulps addx6480 add -1 77e-14 -> -0.99999999999923 addx6481 add -1 77e-15 -> -0.999999999999923 addx6482 add -1 77e-16 -> -0.9999999999999923 addx6483 add -1 77e-17 -> -0.9999999999999992 Inexact Rounded addx6484 add -1 77e-18 -> -0.9999999999999999 Inexact Rounded addx6485 add -1 77e-19 -> -1.000000000000000 Inexact Rounded addx6486 add -1 77e-99 -> -1.000000000000000 Inexact Rounded addx6490 add -10 77e-14 -> -9.99999999999923 addx6491 add -10 77e-15 -> -9.999999999999923 addx6492 add -10 77e-16 -> -9.999999999999992 Inexact Rounded addx6493 add -10 77e-17 -> -9.999999999999999 Inexact Rounded addx6494 add -10 77e-18 -> -10.00000000000000 Inexact Rounded addx6495 add -10 77e-19 -> -10.00000000000000 Inexact Rounded addx6496 add -10 77e-99 -> -10.00000000000000 Inexact Rounded addx6500 add 77e-14 -1 -> -0.99999999999923 addx6501 add 77e-15 -1 -> -0.999999999999923 addx6502 add 77e-16 -1 -> -0.9999999999999923 addx6503 add 77e-17 -1 -> -0.9999999999999992 Inexact Rounded addx6504 add 77e-18 -1 -> -0.9999999999999999 Inexact Rounded addx6505 add 77e-19 -1 -> -1.000000000000000 Inexact Rounded addx6506 add 77e-99 -1 -> -1.000000000000000 Inexact Rounded addx6510 add 77e-14 -10 -> -9.99999999999923 addx6511 add 77e-15 -10 -> -9.999999999999923 addx6512 add 77e-16 -10 -> -9.999999999999992 Inexact Rounded addx6513 add 77e-17 -10 -> -9.999999999999999 Inexact Rounded addx6514 add 77e-18 -10 -> -10.00000000000000 Inexact Rounded addx6515 add 77e-19 -10 -> -10.00000000000000 Inexact Rounded addx6516 add 77e-99 -10 -> -10.00000000000000 Inexact Rounded -- long operands addx6521 add 101234562345678000 0 -> 1.012345623456780E+17 Rounded addx6522 add 0 101234562345678000 -> 1.012345623456780E+17 Rounded addx6523 add 10123456234567800 0 -> 1.012345623456780E+16 Rounded addx6524 add 0 10123456234567800 -> 1.012345623456780E+16 Rounded addx6525 add 10123456234567890 0 -> 1.012345623456789E+16 Rounded addx6526 add 0 10123456234567890 -> 1.012345623456789E+16 Rounded addx6527 add 10123456234567891 0 -> 1.012345623456789E+16 Inexact Rounded addx6528 add 0 10123456234567891 -> 1.012345623456789E+16 Inexact Rounded addx6529 add 101234562345678901 0 -> 1.012345623456789E+17 Inexact Rounded addx6530 add 0 101234562345678901 -> 1.012345623456789E+17 Inexact Rounded addx6531 add 10123456234567896 0 -> 1.012345623456790E+16 Inexact Rounded addx6532 add 0 10123456234567896 -> 1.012345623456790E+16 Inexact Rounded -- verify a query rounding: down addx6561 add 1e-398 9.000000000000000E+384 -> 9.000000000000000E+384 Inexact Rounded addx6562 add 0 9.000000000000000E+384 -> 9.000000000000000E+384 Rounded -- and using decimal64 bounds... rounding: down addx6563 add 1e-388 9.000000000000000E+374 -> 9.000000000000000E+374 Inexact Rounded addx6564 add 0 9.000000000000000E+374 -> 9.000000000000000E+374 Rounded -- more zeros, etc. rounding: half_even addx6701 add 5.00 1.00E-3 -> 5.00100 addx6702 add 00.00 0.000 -> 0.000 addx6703 add 00.00 0E-3 -> 0.000 addx6704 add 0E-3 00.00 -> 0.000 addx6710 add 0E+3 00.00 -> 0.00 addx6711 add 0E+3 00.0 -> 0.0 addx6712 add 0E+3 00. -> 0 addx6713 add 0E+3 00.E+1 -> 0E+1 addx6714 add 0E+3 00.E+2 -> 0E+2 addx6715 add 0E+3 00.E+3 -> 0E+3 addx6716 add 0E+3 00.E+4 -> 0E+3 addx6717 add 0E+3 00.E+5 -> 0E+3 addx6718 add 0E+3 -00.0 -> 0.0 addx6719 add 0E+3 -00. -> 0 addx6731 add 0E+3 -00.E+1 -> 0E+1 addx6720 add 00.00 0E+3 -> 0.00 addx6721 add 00.0 0E+3 -> 0.0 addx6722 add 00. 0E+3 -> 0 addx6723 add 00.E+1 0E+3 -> 0E+1 addx6724 add 00.E+2 0E+3 -> 0E+2 addx6725 add 00.E+3 0E+3 -> 0E+3 addx6726 add 00.E+4 0E+3 -> 0E+3 addx6727 add 00.E+5 0E+3 -> 0E+3 addx6728 add -00.00 0E+3 -> 0.00 addx6729 add -00.0 0E+3 -> 0.0 addx6730 add -00. 0E+3 -> 0 addx6732 add 0 0 -> 0 addx6733 add 0 -0 -> 0 addx6734 add -0 0 -> 0 addx6735 add -0 -0 -> -0 -- IEEE 854 special case addx6736 add 1 -1 -> 0 addx6737 add -1 -1 -> -2 addx6738 add 1 1 -> 2 addx6739 add -1 1 -> 0 addx6741 add 0 -1 -> -1 addx6742 add -0 -1 -> -1 addx6743 add 0 1 -> 1 addx6744 add -0 1 -> 1 addx6745 add -1 0 -> -1 addx6746 add -1 -0 -> -1 addx6747 add 1 0 -> 1 addx6748 add 1 -0 -> 1 addx6751 add 0.0 -1 -> -1.0 addx6752 add -0.0 -1 -> -1.0 addx6753 add 0.0 1 -> 1.0 addx6754 add -0.0 1 -> 1.0 addx6755 add -1.0 0 -> -1.0 addx6756 add -1.0 -0 -> -1.0 addx6757 add 1.0 0 -> 1.0 addx6758 add 1.0 -0 -> 1.0 addx6761 add 0 -1.0 -> -1.0 addx6762 add -0 -1.0 -> -1.0 addx6763 add 0 1.0 -> 1.0 addx6764 add -0 1.0 -> 1.0 addx6765 add -1 0.0 -> -1.0 addx6766 add -1 -0.0 -> -1.0 addx6767 add 1 0.0 -> 1.0 addx6768 add 1 -0.0 -> 1.0 addx6771 add 0.0 -1.0 -> -1.0 addx6772 add -0.0 -1.0 -> -1.0 addx6773 add 0.0 1.0 -> 1.0 addx6774 add -0.0 1.0 -> 1.0 addx6775 add -1.0 0.0 -> -1.0 addx6776 add -1.0 -0.0 -> -1.0 addx6777 add 1.0 0.0 -> 1.0 addx6778 add 1.0 -0.0 -> 1.0 -- Specials addx6780 add -Inf -Inf -> -Infinity addx6781 add -Inf -1000 -> -Infinity addx6782 add -Inf -1 -> -Infinity addx6783 add -Inf -0 -> -Infinity addx6784 add -Inf 0 -> -Infinity addx6785 add -Inf 1 -> -Infinity addx6786 add -Inf 1000 -> -Infinity addx6787 add -1000 -Inf -> -Infinity addx6788 add -Inf -Inf -> -Infinity addx6789 add -1 -Inf -> -Infinity addx6790 add -0 -Inf -> -Infinity addx6791 add 0 -Inf -> -Infinity addx6792 add 1 -Inf -> -Infinity addx6793 add 1000 -Inf -> -Infinity addx6794 add Inf -Inf -> NaN Invalid_operation addx6800 add Inf -Inf -> NaN Invalid_operation addx6801 add Inf -1000 -> Infinity addx6802 add Inf -1 -> Infinity addx6803 add Inf -0 -> Infinity addx6804 add Inf 0 -> Infinity addx6805 add Inf 1 -> Infinity addx6806 add Inf 1000 -> Infinity addx6807 add Inf Inf -> Infinity addx6808 add -1000 Inf -> Infinity addx6809 add -Inf Inf -> NaN Invalid_operation addx6810 add -1 Inf -> Infinity addx6811 add -0 Inf -> Infinity addx6812 add 0 Inf -> Infinity addx6813 add 1 Inf -> Infinity addx6814 add 1000 Inf -> Infinity addx6815 add Inf Inf -> Infinity addx6821 add NaN -Inf -> NaN addx6822 add NaN -1000 -> NaN addx6823 add NaN -1 -> NaN addx6824 add NaN -0 -> NaN addx6825 add NaN 0 -> NaN addx6826 add NaN 1 -> NaN addx6827 add NaN 1000 -> NaN addx6828 add NaN Inf -> NaN addx6829 add NaN NaN -> NaN addx6830 add -Inf NaN -> NaN addx6831 add -1000 NaN -> NaN addx6832 add -1 NaN -> NaN addx6833 add -0 NaN -> NaN addx6834 add 0 NaN -> NaN addx6835 add 1 NaN -> NaN addx6836 add 1000 NaN -> NaN addx6837 add Inf NaN -> NaN addx6841 add sNaN -Inf -> NaN Invalid_operation addx6842 add sNaN -1000 -> NaN Invalid_operation addx6843 add sNaN -1 -> NaN Invalid_operation addx6844 add sNaN -0 -> NaN Invalid_operation addx6845 add sNaN 0 -> NaN Invalid_operation addx6846 add sNaN 1 -> NaN Invalid_operation addx6847 add sNaN 1000 -> NaN Invalid_operation addx6848 add sNaN NaN -> NaN Invalid_operation addx6849 add sNaN sNaN -> NaN Invalid_operation addx6850 add NaN sNaN -> NaN Invalid_operation addx6851 add -Inf sNaN -> NaN Invalid_operation addx6852 add -1000 sNaN -> NaN Invalid_operation addx6853 add -1 sNaN -> NaN Invalid_operation addx6854 add -0 sNaN -> NaN Invalid_operation addx6855 add 0 sNaN -> NaN Invalid_operation addx6856 add 1 sNaN -> NaN Invalid_operation addx6857 add 1000 sNaN -> NaN Invalid_operation addx6858 add Inf sNaN -> NaN Invalid_operation addx6859 add NaN sNaN -> NaN Invalid_operation -- propagating NaNs addx6861 add NaN1 -Inf -> NaN1 addx6862 add +NaN2 -1000 -> NaN2 addx6863 add NaN3 1000 -> NaN3 addx6864 add NaN4 Inf -> NaN4 addx6865 add NaN5 +NaN6 -> NaN5 addx6866 add -Inf NaN7 -> NaN7 addx6867 add -1000 NaN8 -> NaN8 addx6868 add 1000 NaN9 -> NaN9 addx6869 add Inf +NaN10 -> NaN10 addx6871 add sNaN11 -Inf -> NaN11 Invalid_operation addx6872 add sNaN12 -1000 -> NaN12 Invalid_operation addx6873 add sNaN13 1000 -> NaN13 Invalid_operation addx6874 add sNaN14 NaN17 -> NaN14 Invalid_operation addx6875 add sNaN15 sNaN18 -> NaN15 Invalid_operation addx6876 add NaN16 sNaN19 -> NaN19 Invalid_operation addx6877 add -Inf +sNaN20 -> NaN20 Invalid_operation addx6878 add -1000 sNaN21 -> NaN21 Invalid_operation addx6879 add 1000 sNaN22 -> NaN22 Invalid_operation addx6880 add Inf sNaN23 -> NaN23 Invalid_operation addx6881 add +NaN25 +sNaN24 -> NaN24 Invalid_operation addx6882 add -NaN26 NaN28 -> -NaN26 addx6883 add -sNaN27 sNaN29 -> -NaN27 Invalid_operation addx6884 add 1000 -NaN30 -> -NaN30 addx6885 add 1000 -sNaN31 -> -NaN31 Invalid_operation -- now the case where we can get underflow but the result is normal -- [note this can't happen if the operands are also bounded, as we -- cannot represent 1E-399, for example] addx6571 add 1E-383 0 -> 1E-383 addx6572 add 1E-384 0 -> 1E-384 Subnormal addx6573 add 1E-383 1E-384 -> 1.1E-383 addx6574 subtract 1E-383 1E-384 -> 9E-384 Subnormal -- Here we explore the boundary of rounding a subnormal to Nmin addx6575 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal addx6576 subtract 1E-383 1E-398 -> 9.99999999999999E-384 Subnormal addx6577 subtract 1E-383 1E-399 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded addx6578 subtract 1E-383 1E-400 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded addx6579 subtract 1E-383 1E-401 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded addx6580 subtract 1E-383 1E-402 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded -- check overflow edge case -- 1234567890123456 addx6972 apply 9.999999999999999E+384 -> 9.999999999999999E+384 addx6973 add 9.999999999999999E+384 1 -> 9.999999999999999E+384 Inexact Rounded addx6974 add 9999999999999999E+369 1 -> 9.999999999999999E+384 Inexact Rounded addx6975 add 9999999999999999E+369 1E+369 -> Infinity Overflow Inexact Rounded addx6976 add 9999999999999999E+369 9E+368 -> Infinity Overflow Inexact Rounded addx6977 add 9999999999999999E+369 8E+368 -> Infinity Overflow Inexact Rounded addx6978 add 9999999999999999E+369 7E+368 -> Infinity Overflow Inexact Rounded addx6979 add 9999999999999999E+369 6E+368 -> Infinity Overflow Inexact Rounded addx6980 add 9999999999999999E+369 5E+368 -> Infinity Overflow Inexact Rounded addx6981 add 9999999999999999E+369 4E+368 -> 9.999999999999999E+384 Inexact Rounded addx6982 add 9999999999999999E+369 3E+368 -> 9.999999999999999E+384 Inexact Rounded addx6983 add 9999999999999999E+369 2E+368 -> 9.999999999999999E+384 Inexact Rounded addx6984 add 9999999999999999E+369 1E+368 -> 9.999999999999999E+384 Inexact Rounded addx6985 apply -9.999999999999999E+384 -> -9.999999999999999E+384 addx6986 add -9.999999999999999E+384 -1 -> -9.999999999999999E+384 Inexact Rounded addx6987 add -9999999999999999E+369 -1 -> -9.999999999999999E+384 Inexact Rounded addx6988 add -9999999999999999E+369 -1E+369 -> -Infinity Overflow Inexact Rounded addx6989 add -9999999999999999E+369 -9E+368 -> -Infinity Overflow Inexact Rounded addx6990 add -9999999999999999E+369 -8E+368 -> -Infinity Overflow Inexact Rounded addx6991 add -9999999999999999E+369 -7E+368 -> -Infinity Overflow Inexact Rounded addx6992 add -9999999999999999E+369 -6E+368 -> -Infinity Overflow Inexact Rounded addx6993 add -9999999999999999E+369 -5E+368 -> -Infinity Overflow Inexact Rounded addx6994 add -9999999999999999E+369 -4E+368 -> -9.999999999999999E+384 Inexact Rounded addx6995 add -9999999999999999E+369 -3E+368 -> -9.999999999999999E+384 Inexact Rounded addx6996 add -9999999999999999E+369 -2E+368 -> -9.999999999999999E+384 Inexact Rounded addx6997 add -9999999999999999E+369 -1E+368 -> -9.999999999999999E+384 Inexact Rounded -- And for round down full and subnormal results rounding: down addx61100 add 1e+2 -1e-383 -> 99.99999999999999 Rounded Inexact addx61101 add 1e+1 -1e-383 -> 9.999999999999999 Rounded Inexact addx61103 add +1 -1e-383 -> 0.9999999999999999 Rounded Inexact addx61104 add 1e-1 -1e-383 -> 0.09999999999999999 Rounded Inexact addx61105 add 1e-2 -1e-383 -> 0.009999999999999999 Rounded Inexact addx61106 add 1e-3 -1e-383 -> 0.0009999999999999999 Rounded Inexact addx61107 add 1e-4 -1e-383 -> 0.00009999999999999999 Rounded Inexact addx61108 add 1e-5 -1e-383 -> 0.000009999999999999999 Rounded Inexact addx61109 add 1e-6 -1e-383 -> 9.999999999999999E-7 Rounded Inexact rounding: ceiling addx61110 add -1e+2 +1e-383 -> -99.99999999999999 Rounded Inexact addx61111 add -1e+1 +1e-383 -> -9.999999999999999 Rounded Inexact addx61113 add -1 +1e-383 -> -0.9999999999999999 Rounded Inexact addx61114 add -1e-1 +1e-383 -> -0.09999999999999999 Rounded Inexact addx61115 add -1e-2 +1e-383 -> -0.009999999999999999 Rounded Inexact addx61116 add -1e-3 +1e-383 -> -0.0009999999999999999 Rounded Inexact addx61117 add -1e-4 +1e-383 -> -0.00009999999999999999 Rounded Inexact addx61118 add -1e-5 +1e-383 -> -0.000009999999999999999 Rounded Inexact addx61119 add -1e-6 +1e-383 -> -9.999999999999999E-7 Rounded Inexact -- tests based on Gunnar Degnbol's edge case rounding: half_even addx61300 add 1E16 -0.5 -> 1.000000000000000E+16 Inexact Rounded addx61310 add 1E16 -0.51 -> 9999999999999999 Inexact Rounded addx61311 add 1E16 -0.501 -> 9999999999999999 Inexact Rounded addx61312 add 1E16 -0.5001 -> 9999999999999999 Inexact Rounded addx61313 add 1E16 -0.50001 -> 9999999999999999 Inexact Rounded addx61314 add 1E16 -0.500001 -> 9999999999999999 Inexact Rounded addx61315 add 1E16 -0.5000001 -> 9999999999999999 Inexact Rounded addx61316 add 1E16 -0.50000001 -> 9999999999999999 Inexact Rounded addx61317 add 1E16 -0.500000001 -> 9999999999999999 Inexact Rounded addx61318 add 1E16 -0.5000000001 -> 9999999999999999 Inexact Rounded addx61319 add 1E16 -0.50000000001 -> 9999999999999999 Inexact Rounded addx61320 add 1E16 -0.500000000001 -> 9999999999999999 Inexact Rounded addx61321 add 1E16 -0.5000000000001 -> 9999999999999999 Inexact Rounded addx61322 add 1E16 -0.50000000000001 -> 9999999999999999 Inexact Rounded addx61323 add 1E16 -0.500000000000001 -> 9999999999999999 Inexact Rounded addx61324 add 1E16 -0.5000000000000001 -> 9999999999999999 Inexact Rounded addx61325 add 1E16 -0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded addx61326 add 1E16 -0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded addx61327 add 1E16 -0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded addx61328 add 1E16 -0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded addx61329 add 1E16 -0.500000000000 -> 1.000000000000000E+16 Inexact Rounded addx61330 add 1E16 -0.50000000000 -> 1.000000000000000E+16 Inexact Rounded addx61331 add 1E16 -0.5000000000 -> 1.000000000000000E+16 Inexact Rounded addx61332 add 1E16 -0.500000000 -> 1.000000000000000E+16 Inexact Rounded addx61333 add 1E16 -0.50000000 -> 1.000000000000000E+16 Inexact Rounded addx61334 add 1E16 -0.5000000 -> 1.000000000000000E+16 Inexact Rounded addx61335 add 1E16 -0.500000 -> 1.000000000000000E+16 Inexact Rounded addx61336 add 1E16 -0.50000 -> 1.000000000000000E+16 Inexact Rounded addx61337 add 1E16 -0.5000 -> 1.000000000000000E+16 Inexact Rounded addx61338 add 1E16 -0.500 -> 1.000000000000000E+16 Inexact Rounded addx61339 add 1E16 -0.50 -> 1.000000000000000E+16 Inexact Rounded addx61340 add 1E16 -5000000.000010001 -> 9999999995000000 Inexact Rounded addx61341 add 1E16 -5000000.000000001 -> 9999999995000000 Inexact Rounded addx61349 add 9999999999999999 0.4 -> 9999999999999999 Inexact Rounded addx61350 add 9999999999999999 0.49 -> 9999999999999999 Inexact Rounded addx61351 add 9999999999999999 0.499 -> 9999999999999999 Inexact Rounded addx61352 add 9999999999999999 0.4999 -> 9999999999999999 Inexact Rounded addx61353 add 9999999999999999 0.49999 -> 9999999999999999 Inexact Rounded addx61354 add 9999999999999999 0.499999 -> 9999999999999999 Inexact Rounded addx61355 add 9999999999999999 0.4999999 -> 9999999999999999 Inexact Rounded addx61356 add 9999999999999999 0.49999999 -> 9999999999999999 Inexact Rounded addx61357 add 9999999999999999 0.499999999 -> 9999999999999999 Inexact Rounded addx61358 add 9999999999999999 0.4999999999 -> 9999999999999999 Inexact Rounded addx61359 add 9999999999999999 0.49999999999 -> 9999999999999999 Inexact Rounded addx61360 add 9999999999999999 0.499999999999 -> 9999999999999999 Inexact Rounded addx61361 add 9999999999999999 0.4999999999999 -> 9999999999999999 Inexact Rounded addx61362 add 9999999999999999 0.49999999999999 -> 9999999999999999 Inexact Rounded addx61363 add 9999999999999999 0.499999999999999 -> 9999999999999999 Inexact Rounded addx61364 add 9999999999999999 0.4999999999999999 -> 9999999999999999 Inexact Rounded addx61365 add 9999999999999999 0.5000000000000000 -> 1.000000000000000E+16 Inexact Rounded addx61367 add 9999999999999999 0.500000000000000 -> 1.000000000000000E+16 Inexact Rounded addx61368 add 9999999999999999 0.50000000000000 -> 1.000000000000000E+16 Inexact Rounded addx61369 add 9999999999999999 0.5000000000000 -> 1.000000000000000E+16 Inexact Rounded addx61370 add 9999999999999999 0.500000000000 -> 1.000000000000000E+16 Inexact Rounded addx61371 add 9999999999999999 0.50000000000 -> 1.000000000000000E+16 Inexact Rounded addx61372 add 9999999999999999 0.5000000000 -> 1.000000000000000E+16 Inexact Rounded addx61373 add 9999999999999999 0.500000000 -> 1.000000000000000E+16 Inexact Rounded addx61374 add 9999999999999999 0.50000000 -> 1.000000000000000E+16 Inexact Rounded addx61375 add 9999999999999999 0.5000000 -> 1.000000000000000E+16 Inexact Rounded addx61376 add 9999999999999999 0.500000 -> 1.000000000000000E+16 Inexact Rounded addx61377 add 9999999999999999 0.50000 -> 1.000000000000000E+16 Inexact Rounded addx61378 add 9999999999999999 0.5000 -> 1.000000000000000E+16 Inexact Rounded addx61379 add 9999999999999999 0.500 -> 1.000000000000000E+16 Inexact Rounded addx61380 add 9999999999999999 0.50 -> 1.000000000000000E+16 Inexact Rounded addx61381 add 9999999999999999 0.5 -> 1.000000000000000E+16 Inexact Rounded addx61382 add 9999999999999999 0.5000000000000001 -> 1.000000000000000E+16 Inexact Rounded addx61383 add 9999999999999999 0.500000000000001 -> 1.000000000000000E+16 Inexact Rounded addx61384 add 9999999999999999 0.50000000000001 -> 1.000000000000000E+16 Inexact Rounded addx61385 add 9999999999999999 0.5000000000001 -> 1.000000000000000E+16 Inexact Rounded addx61386 add 9999999999999999 0.500000000001 -> 1.000000000000000E+16 Inexact Rounded addx61387 add 9999999999999999 0.50000000001 -> 1.000000000000000E+16 Inexact Rounded addx61388 add 9999999999999999 0.5000000001 -> 1.000000000000000E+16 Inexact Rounded addx61389 add 9999999999999999 0.500000001 -> 1.000000000000000E+16 Inexact Rounded addx61390 add 9999999999999999 0.50000001 -> 1.000000000000000E+16 Inexact Rounded addx61391 add 9999999999999999 0.5000001 -> 1.000000000000000E+16 Inexact Rounded addx61392 add 9999999999999999 0.500001 -> 1.000000000000000E+16 Inexact Rounded addx61393 add 9999999999999999 0.50001 -> 1.000000000000000E+16 Inexact Rounded addx61394 add 9999999999999999 0.5001 -> 1.000000000000000E+16 Inexact Rounded addx61395 add 9999999999999999 0.501 -> 1.000000000000000E+16 Inexact Rounded addx61396 add 9999999999999999 0.51 -> 1.000000000000000E+16 Inexact Rounded -- More GD edge cases, where difference between the unadjusted -- exponents is larger than the maximum precision and one side is 0 addx61420 add 0 1.123456789012345 -> 1.123456789012345 addx61421 add 0 1.123456789012345E-1 -> 0.1123456789012345 addx61422 add 0 1.123456789012345E-2 -> 0.01123456789012345 addx61423 add 0 1.123456789012345E-3 -> 0.001123456789012345 addx61424 add 0 1.123456789012345E-4 -> 0.0001123456789012345 addx61425 add 0 1.123456789012345E-5 -> 0.00001123456789012345 addx61426 add 0 1.123456789012345E-6 -> 0.000001123456789012345 addx61427 add 0 1.123456789012345E-7 -> 1.123456789012345E-7 addx61428 add 0 1.123456789012345E-8 -> 1.123456789012345E-8 addx61429 add 0 1.123456789012345E-9 -> 1.123456789012345E-9 addx61430 add 0 1.123456789012345E-10 -> 1.123456789012345E-10 addx61431 add 0 1.123456789012345E-11 -> 1.123456789012345E-11 addx61432 add 0 1.123456789012345E-12 -> 1.123456789012345E-12 addx61433 add 0 1.123456789012345E-13 -> 1.123456789012345E-13 addx61434 add 0 1.123456789012345E-14 -> 1.123456789012345E-14 addx61435 add 0 1.123456789012345E-15 -> 1.123456789012345E-15 addx61436 add 0 1.123456789012345E-16 -> 1.123456789012345E-16 addx61437 add 0 1.123456789012345E-17 -> 1.123456789012345E-17 addx61438 add 0 1.123456789012345E-18 -> 1.123456789012345E-18 addx61439 add 0 1.123456789012345E-19 -> 1.123456789012345E-19 -- same, reversed 0 addx61440 add 1.123456789012345 0 -> 1.123456789012345 addx61441 add 1.123456789012345E-1 0 -> 0.1123456789012345 addx61442 add 1.123456789012345E-2 0 -> 0.01123456789012345 addx61443 add 1.123456789012345E-3 0 -> 0.001123456789012345 addx61444 add 1.123456789012345E-4 0 -> 0.0001123456789012345 addx61445 add 1.123456789012345E-5 0 -> 0.00001123456789012345 addx61446 add 1.123456789012345E-6 0 -> 0.000001123456789012345 addx61447 add 1.123456789012345E-7 0 -> 1.123456789012345E-7 addx61448 add 1.123456789012345E-8 0 -> 1.123456789012345E-8 addx61449 add 1.123456789012345E-9 0 -> 1.123456789012345E-9 addx61450 add 1.123456789012345E-10 0 -> 1.123456789012345E-10 addx61451 add 1.123456789012345E-11 0 -> 1.123456789012345E-11 addx61452 add 1.123456789012345E-12 0 -> 1.123456789012345E-12 addx61453 add 1.123456789012345E-13 0 -> 1.123456789012345E-13 addx61454 add 1.123456789012345E-14 0 -> 1.123456789012345E-14 addx61455 add 1.123456789012345E-15 0 -> 1.123456789012345E-15 addx61456 add 1.123456789012345E-16 0 -> 1.123456789012345E-16 addx61457 add 1.123456789012345E-17 0 -> 1.123456789012345E-17 addx61458 add 1.123456789012345E-18 0 -> 1.123456789012345E-18 addx61459 add 1.123456789012345E-19 0 -> 1.123456789012345E-19 -- same, Es on the 0 addx61460 add 1.123456789012345 0E-0 -> 1.123456789012345 addx61461 add 1.123456789012345 0E-1 -> 1.123456789012345 addx61462 add 1.123456789012345 0E-2 -> 1.123456789012345 addx61463 add 1.123456789012345 0E-3 -> 1.123456789012345 addx61464 add 1.123456789012345 0E-4 -> 1.123456789012345 addx61465 add 1.123456789012345 0E-5 -> 1.123456789012345 addx61466 add 1.123456789012345 0E-6 -> 1.123456789012345 addx61467 add 1.123456789012345 0E-7 -> 1.123456789012345 addx61468 add 1.123456789012345 0E-8 -> 1.123456789012345 addx61469 add 1.123456789012345 0E-9 -> 1.123456789012345 addx61470 add 1.123456789012345 0E-10 -> 1.123456789012345 addx61471 add 1.123456789012345 0E-11 -> 1.123456789012345 addx61472 add 1.123456789012345 0E-12 -> 1.123456789012345 addx61473 add 1.123456789012345 0E-13 -> 1.123456789012345 addx61474 add 1.123456789012345 0E-14 -> 1.123456789012345 addx61475 add 1.123456789012345 0E-15 -> 1.123456789012345 -- next four flag Rounded because the 0 extends the result addx61476 add 1.123456789012345 0E-16 -> 1.123456789012345 Rounded addx61477 add 1.123456789012345 0E-17 -> 1.123456789012345 Rounded addx61478 add 1.123456789012345 0E-18 -> 1.123456789012345 Rounded addx61479 add 1.123456789012345 0E-19 -> 1.123456789012345 Rounded -- sum of two opposite-sign operands is exactly 0 and floor => -0 rounding: half_up -- exact zeros from zeros addx61500 add 0 0E-19 -> 0E-19 addx61501 add -0 0E-19 -> 0E-19 addx61502 add 0 -0E-19 -> 0E-19 addx61503 add -0 -0E-19 -> -0E-19 addx61504 add 0E-400 0E-19 -> 0E-398 Clamped addx61505 add -0E-400 0E-19 -> 0E-398 Clamped addx61506 add 0E-400 -0E-19 -> 0E-398 Clamped addx61507 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx61511 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61512 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61513 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped addx61514 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- some exact zeros from non-zeros addx61515 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61516 add -1E-401 1E-401 -> 0E-398 Clamped addx61517 add 1E-401 -1E-401 -> 0E-398 Clamped addx61518 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped rounding: half_down -- exact zeros from zeros addx61520 add 0 0E-19 -> 0E-19 addx61521 add -0 0E-19 -> 0E-19 addx61522 add 0 -0E-19 -> 0E-19 addx61523 add -0 -0E-19 -> -0E-19 addx61524 add 0E-400 0E-19 -> 0E-398 Clamped addx61525 add -0E-400 0E-19 -> 0E-398 Clamped addx61526 add 0E-400 -0E-19 -> 0E-398 Clamped addx61527 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx61531 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61532 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61533 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped addx61534 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- some exact zeros from non-zeros addx61535 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61536 add -1E-401 1E-401 -> 0E-398 Clamped addx61537 add 1E-401 -1E-401 -> 0E-398 Clamped addx61538 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped rounding: half_even -- exact zeros from zeros addx61540 add 0 0E-19 -> 0E-19 addx61541 add -0 0E-19 -> 0E-19 addx61542 add 0 -0E-19 -> 0E-19 addx61543 add -0 -0E-19 -> -0E-19 addx61544 add 0E-400 0E-19 -> 0E-398 Clamped addx61545 add -0E-400 0E-19 -> 0E-398 Clamped addx61546 add 0E-400 -0E-19 -> 0E-398 Clamped addx61547 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx61551 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61552 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61553 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped addx61554 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- some exact zeros from non-zeros addx61555 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61556 add -1E-401 1E-401 -> 0E-398 Clamped addx61557 add 1E-401 -1E-401 -> 0E-398 Clamped addx61558 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped rounding: up -- exact zeros from zeros addx61560 add 0 0E-19 -> 0E-19 addx61561 add -0 0E-19 -> 0E-19 addx61562 add 0 -0E-19 -> 0E-19 addx61563 add -0 -0E-19 -> -0E-19 addx61564 add 0E-400 0E-19 -> 0E-398 Clamped addx61565 add -0E-400 0E-19 -> 0E-398 Clamped addx61566 add 0E-400 -0E-19 -> 0E-398 Clamped addx61567 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx61571 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow addx61572 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow addx61573 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow addx61574 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow -- some exact zeros from non-zeros addx61575 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow addx61576 add -1E-401 1E-401 -> 0E-398 Clamped addx61577 add 1E-401 -1E-401 -> 0E-398 Clamped addx61578 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow rounding: down -- exact zeros from zeros addx61580 add 0 0E-19 -> 0E-19 addx61581 add -0 0E-19 -> 0E-19 addx61582 add 0 -0E-19 -> 0E-19 addx61583 add -0 -0E-19 -> -0E-19 addx61584 add 0E-400 0E-19 -> 0E-398 Clamped addx61585 add -0E-400 0E-19 -> 0E-398 Clamped addx61586 add 0E-400 -0E-19 -> 0E-398 Clamped addx61587 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx61591 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61592 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61593 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped addx61594 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- some exact zeros from non-zeros addx61595 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61596 add -1E-401 1E-401 -> 0E-398 Clamped addx61597 add 1E-401 -1E-401 -> 0E-398 Clamped addx61598 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped rounding: ceiling -- exact zeros from zeros addx61600 add 0 0E-19 -> 0E-19 addx61601 add -0 0E-19 -> 0E-19 addx61602 add 0 -0E-19 -> 0E-19 addx61603 add -0 -0E-19 -> -0E-19 addx61604 add 0E-400 0E-19 -> 0E-398 Clamped addx61605 add -0E-400 0E-19 -> 0E-398 Clamped addx61606 add 0E-400 -0E-19 -> 0E-398 Clamped addx61607 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx61611 add 1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow addx61612 add -1E-401 1E-400 -> 1E-398 Subnormal Inexact Rounded Underflow addx61613 add 1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped addx61614 add -1E-401 -1E-400 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- some exact zeros from non-zeros addx61615 add 1E-401 1E-401 -> 1E-398 Subnormal Inexact Rounded Underflow addx61616 add -1E-401 1E-401 -> 0E-398 Clamped addx61617 add 1E-401 -1E-401 -> 0E-398 Clamped addx61618 add -1E-401 -1E-401 -> -0E-398 Subnormal Inexact Rounded Underflow Clamped -- and the extra-special ugly case; unusual minuses marked by -- * rounding: floor -- exact zeros from zeros addx61620 add 0 0E-19 -> 0E-19 addx61621 add -0 0E-19 -> -0E-19 -- * addx61622 add 0 -0E-19 -> -0E-19 -- * addx61623 add -0 -0E-19 -> -0E-19 addx61624 add 0E-400 0E-19 -> 0E-398 Clamped addx61625 add -0E-400 0E-19 -> -0E-398 Clamped -- * addx61626 add 0E-400 -0E-19 -> -0E-398 Clamped -- * addx61627 add -0E-400 -0E-19 -> -0E-398 Clamped -- inexact zeros addx61631 add 1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61632 add -1E-401 1E-400 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61633 add 1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow addx61634 add -1E-401 -1E-400 -> -1E-398 Subnormal Inexact Rounded Underflow -- some exact zeros from non-zeros addx61635 add 1E-401 1E-401 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped addx61636 add -1E-401 1E-401 -> -0E-398 Clamped -- * addx61637 add 1E-401 -1E-401 -> -0E-398 Clamped -- * addx61638 add -1E-401 -1E-401 -> -1E-398 Subnormal Inexact Rounded Underflow -- Examples from SQL proposal (Krishna Kulkarni) addx61701 add 130E-2 120E-2 -> 2.50 addx61702 add 130E-2 12E-1 -> 2.50 addx61703 add 130E-2 1E0 -> 2.30 addx61704 add 1E2 1E4 -> 1.01E+4 addx61705 subtract 130E-2 120E-2 -> 0.10 addx61706 subtract 130E-2 12E-1 -> 0.10 addx61707 subtract 130E-2 1E0 -> 0.30 addx61708 subtract 1E2 1E4 -> -9.9E+3 -- Gappy coefficients; check residue handling even with full coefficient gap rounding: half_even addx62001 add 1234567890123456 1 -> 1234567890123457 addx62002 add 1234567890123456 0.6 -> 1234567890123457 Inexact Rounded addx62003 add 1234567890123456 0.06 -> 1234567890123456 Inexact Rounded addx62004 add 1234567890123456 6E-3 -> 1234567890123456 Inexact Rounded addx62005 add 1234567890123456 6E-4 -> 1234567890123456 Inexact Rounded addx62006 add 1234567890123456 6E-5 -> 1234567890123456 Inexact Rounded addx62007 add 1234567890123456 6E-6 -> 1234567890123456 Inexact Rounded addx62008 add 1234567890123456 6E-7 -> 1234567890123456 Inexact Rounded addx62009 add 1234567890123456 6E-8 -> 1234567890123456 Inexact Rounded addx62010 add 1234567890123456 6E-9 -> 1234567890123456 Inexact Rounded addx62011 add 1234567890123456 6E-10 -> 1234567890123456 Inexact Rounded addx62012 add 1234567890123456 6E-11 -> 1234567890123456 Inexact Rounded addx62013 add 1234567890123456 6E-12 -> 1234567890123456 Inexact Rounded addx62014 add 1234567890123456 6E-13 -> 1234567890123456 Inexact Rounded addx62015 add 1234567890123456 6E-14 -> 1234567890123456 Inexact Rounded addx62016 add 1234567890123456 6E-15 -> 1234567890123456 Inexact Rounded addx62017 add 1234567890123456 6E-16 -> 1234567890123456 Inexact Rounded addx62018 add 1234567890123456 6E-17 -> 1234567890123456 Inexact Rounded addx62019 add 1234567890123456 6E-18 -> 1234567890123456 Inexact Rounded addx62020 add 1234567890123456 6E-19 -> 1234567890123456 Inexact Rounded addx62021 add 1234567890123456 6E-20 -> 1234567890123456 Inexact Rounded -- widening second argument at gap addx62030 add 12345678 1 -> 12345679 addx62031 add 12345678 0.1 -> 12345678.1 addx62032 add 12345678 0.12 -> 12345678.12 addx62033 add 12345678 0.123 -> 12345678.123 addx62034 add 12345678 0.1234 -> 12345678.1234 addx62035 add 12345678 0.12345 -> 12345678.12345 addx62036 add 12345678 0.123456 -> 12345678.123456 addx62037 add 12345678 0.1234567 -> 12345678.1234567 addx62038 add 12345678 0.12345678 -> 12345678.12345678 addx62039 add 12345678 0.123456789 -> 12345678.12345679 Inexact Rounded addx62040 add 12345678 0.123456785 -> 12345678.12345678 Inexact Rounded addx62041 add 12345678 0.1234567850 -> 12345678.12345678 Inexact Rounded addx62042 add 12345678 0.1234567851 -> 12345678.12345679 Inexact Rounded addx62043 add 12345678 0.12345678501 -> 12345678.12345679 Inexact Rounded addx62044 add 12345678 0.123456785001 -> 12345678.12345679 Inexact Rounded addx62045 add 12345678 0.1234567850001 -> 12345678.12345679 Inexact Rounded addx62046 add 12345678 0.12345678500001 -> 12345678.12345679 Inexact Rounded addx62047 add 12345678 0.123456785000001 -> 12345678.12345679 Inexact Rounded addx62048 add 12345678 0.1234567850000001 -> 12345678.12345679 Inexact Rounded addx62049 add 12345678 0.1234567850000000 -> 12345678.12345678 Inexact Rounded -- 90123456 rounding: half_even addx62050 add 12345678 0.0234567750000000 -> 12345678.02345678 Inexact Rounded addx62051 add 12345678 0.0034567750000000 -> 12345678.00345678 Inexact Rounded addx62052 add 12345678 0.0004567750000000 -> 12345678.00045678 Inexact Rounded addx62053 add 12345678 0.0000567750000000 -> 12345678.00005678 Inexact Rounded addx62054 add 12345678 0.0000067750000000 -> 12345678.00000678 Inexact Rounded addx62055 add 12345678 0.0000007750000000 -> 12345678.00000078 Inexact Rounded addx62056 add 12345678 0.0000000750000000 -> 12345678.00000008 Inexact Rounded addx62057 add 12345678 0.0000000050000000 -> 12345678.00000000 Inexact Rounded addx62060 add 12345678 0.0234567750000001 -> 12345678.02345678 Inexact Rounded addx62061 add 12345678 0.0034567750000001 -> 12345678.00345678 Inexact Rounded addx62062 add 12345678 0.0004567750000001 -> 12345678.00045678 Inexact Rounded addx62063 add 12345678 0.0000567750000001 -> 12345678.00005678 Inexact Rounded addx62064 add 12345678 0.0000067750000001 -> 12345678.00000678 Inexact Rounded addx62065 add 12345678 0.0000007750000001 -> 12345678.00000078 Inexact Rounded addx62066 add 12345678 0.0000000750000001 -> 12345678.00000008 Inexact Rounded addx62067 add 12345678 0.0000000050000001 -> 12345678.00000001 Inexact Rounded -- far-out residues (full coefficient gap is 16+15 digits) rounding: up addx62070 add 12345678 1E-8 -> 12345678.00000001 addx62071 add 12345678 1E-9 -> 12345678.00000001 Inexact Rounded addx62072 add 12345678 1E-10 -> 12345678.00000001 Inexact Rounded addx62073 add 12345678 1E-11 -> 12345678.00000001 Inexact Rounded addx62074 add 12345678 1E-12 -> 12345678.00000001 Inexact Rounded addx62075 add 12345678 1E-13 -> 12345678.00000001 Inexact Rounded addx62076 add 12345678 1E-14 -> 12345678.00000001 Inexact Rounded addx62077 add 12345678 1E-15 -> 12345678.00000001 Inexact Rounded addx62078 add 12345678 1E-16 -> 12345678.00000001 Inexact Rounded addx62079 add 12345678 1E-17 -> 12345678.00000001 Inexact Rounded addx62080 add 12345678 1E-18 -> 12345678.00000001 Inexact Rounded addx62081 add 12345678 1E-19 -> 12345678.00000001 Inexact Rounded addx62082 add 12345678 1E-20 -> 12345678.00000001 Inexact Rounded addx62083 add 12345678 1E-25 -> 12345678.00000001 Inexact Rounded addx62084 add 12345678 1E-30 -> 12345678.00000001 Inexact Rounded addx62085 add 12345678 1E-31 -> 12345678.00000001 Inexact Rounded addx62086 add 12345678 1E-32 -> 12345678.00000001 Inexact Rounded addx62087 add 12345678 1E-33 -> 12345678.00000001 Inexact Rounded addx62088 add 12345678 1E-34 -> 12345678.00000001 Inexact Rounded addx62089 add 12345678 1E-35 -> 12345678.00000001 Inexact Rounded -- payload decapitate precision: 5 addx62100 add 11 sNaN123456789 -> NaN56789 Invalid_operation addx62101 add -11 -sNaN123456789 -> -NaN56789 Invalid_operation addx62102 add 11 NaN123456789 -> NaN56789 addx62103 add -11 -NaN123456789 -> -NaN56789 -- Null tests addx9990 add 10 # -> NaN Invalid_operation addx9991 add # 10 -> NaN Invalid_operation
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