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Diffstat (limited to 'lib/python2.7/test/decimaltestdata/rounding.decTest')
| -rw-r--r-- | lib/python2.7/test/decimaltestdata/rounding.decTest | 1303 |
1 files changed, 0 insertions, 1303 deletions
diff --git a/lib/python2.7/test/decimaltestdata/rounding.decTest b/lib/python2.7/test/decimaltestdata/rounding.decTest deleted file mode 100644 index 95f1326..0000000 --- a/lib/python2.7/test/decimaltestdata/rounding.decTest +++ /dev/null @@ -1,1303 +0,0 @@ ------------------------------------------------------------------------- --- rounding.decTest -- decimal rounding modes testcases -- --- 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 - --- These tests require that implementations take account of residues in --- order to get correct results for some rounding modes. Rather than --- single rounding tests we therefore need tests for most operators. --- [We do assume add/minus/plus/subtract are common paths, however, as --- is rounding of negatives (if the latter works for addition, assume it --- works for the others, too).] --- --- Round-for-reround (05UP) is tested as a separate block, mostly for --- 'historical' reasons. --- --- Underflow Subnormal and overflow behaviours are tested under the --- individual operators. - -extended: 1 -precision: 5 -- for easier visual inspection -maxExponent: 999 -minexponent: -999 - --- Addition operators ------------------------------------------------- -rounding: down - -radx100 add 12345 -0.1 -> 12344 Inexact Rounded -radx101 add 12345 -0.01 -> 12344 Inexact Rounded -radx102 add 12345 -0.001 -> 12344 Inexact Rounded -radx103 add 12345 -0.00001 -> 12344 Inexact Rounded -radx104 add 12345 -0.000001 -> 12344 Inexact Rounded -radx105 add 12345 -0.0000001 -> 12344 Inexact Rounded -radx106 add 12345 0 -> 12345 -radx107 add 12345 0.0000001 -> 12345 Inexact Rounded -radx108 add 12345 0.000001 -> 12345 Inexact Rounded -radx109 add 12345 0.00001 -> 12345 Inexact Rounded -radx110 add 12345 0.0001 -> 12345 Inexact Rounded -radx111 add 12345 0.001 -> 12345 Inexact Rounded -radx112 add 12345 0.01 -> 12345 Inexact Rounded -radx113 add 12345 0.1 -> 12345 Inexact Rounded - -radx115 add 12346 0.49999 -> 12346 Inexact Rounded -radx116 add 12346 0.5 -> 12346 Inexact Rounded -radx117 add 12346 0.50001 -> 12346 Inexact Rounded - -radx120 add 12345 0.4 -> 12345 Inexact Rounded -radx121 add 12345 0.49 -> 12345 Inexact Rounded -radx122 add 12345 0.499 -> 12345 Inexact Rounded -radx123 add 12345 0.49999 -> 12345 Inexact Rounded -radx124 add 12345 0.5 -> 12345 Inexact Rounded -radx125 add 12345 0.50001 -> 12345 Inexact Rounded -radx126 add 12345 0.5001 -> 12345 Inexact Rounded -radx127 add 12345 0.501 -> 12345 Inexact Rounded -radx128 add 12345 0.51 -> 12345 Inexact Rounded -radx129 add 12345 0.6 -> 12345 Inexact Rounded - -rounding: half_down - -radx140 add 12345 -0.1 -> 12345 Inexact Rounded -radx141 add 12345 -0.01 -> 12345 Inexact Rounded -radx142 add 12345 -0.001 -> 12345 Inexact Rounded -radx143 add 12345 -0.00001 -> 12345 Inexact Rounded -radx144 add 12345 -0.000001 -> 12345 Inexact Rounded -radx145 add 12345 -0.0000001 -> 12345 Inexact Rounded -radx146 add 12345 0 -> 12345 -radx147 add 12345 0.0000001 -> 12345 Inexact Rounded -radx148 add 12345 0.000001 -> 12345 Inexact Rounded -radx149 add 12345 0.00001 -> 12345 Inexact Rounded -radx150 add 12345 0.0001 -> 12345 Inexact Rounded -radx151 add 12345 0.001 -> 12345 Inexact Rounded -radx152 add 12345 0.01 -> 12345 Inexact Rounded -radx153 add 12345 0.1 -> 12345 Inexact Rounded - -radx155 add 12346 0.49999 -> 12346 Inexact Rounded -radx156 add 12346 0.5 -> 12346 Inexact Rounded -radx157 add 12346 0.50001 -> 12347 Inexact Rounded - -radx160 add 12345 0.4 -> 12345 Inexact Rounded -radx161 add 12345 0.49 -> 12345 Inexact Rounded -radx162 add 12345 0.499 -> 12345 Inexact Rounded -radx163 add 12345 0.49999 -> 12345 Inexact Rounded -radx164 add 12345 0.5 -> 12345 Inexact Rounded -radx165 add 12345 0.50001 -> 12346 Inexact Rounded -radx166 add 12345 0.5001 -> 12346 Inexact Rounded -radx167 add 12345 0.501 -> 12346 Inexact Rounded -radx168 add 12345 0.51 -> 12346 Inexact Rounded -radx169 add 12345 0.6 -> 12346 Inexact Rounded - -rounding: half_even - -radx170 add 12345 -0.1 -> 12345 Inexact Rounded -radx171 add 12345 -0.01 -> 12345 Inexact Rounded -radx172 add 12345 -0.001 -> 12345 Inexact Rounded -radx173 add 12345 -0.00001 -> 12345 Inexact Rounded -radx174 add 12345 -0.000001 -> 12345 Inexact Rounded -radx175 add 12345 -0.0000001 -> 12345 Inexact Rounded -radx176 add 12345 0 -> 12345 -radx177 add 12345 0.0000001 -> 12345 Inexact Rounded -radx178 add 12345 0.000001 -> 12345 Inexact Rounded -radx179 add 12345 0.00001 -> 12345 Inexact Rounded -radx180 add 12345 0.0001 -> 12345 Inexact Rounded -radx181 add 12345 0.001 -> 12345 Inexact Rounded -radx182 add 12345 0.01 -> 12345 Inexact Rounded -radx183 add 12345 0.1 -> 12345 Inexact Rounded - -radx185 add 12346 0.49999 -> 12346 Inexact Rounded -radx186 add 12346 0.5 -> 12346 Inexact Rounded -radx187 add 12346 0.50001 -> 12347 Inexact Rounded - -radx190 add 12345 0.4 -> 12345 Inexact Rounded -radx191 add 12345 0.49 -> 12345 Inexact Rounded -radx192 add 12345 0.499 -> 12345 Inexact Rounded -radx193 add 12345 0.49999 -> 12345 Inexact Rounded -radx194 add 12345 0.5 -> 12346 Inexact Rounded -radx195 add 12345 0.50001 -> 12346 Inexact Rounded -radx196 add 12345 0.5001 -> 12346 Inexact Rounded -radx197 add 12345 0.501 -> 12346 Inexact Rounded -radx198 add 12345 0.51 -> 12346 Inexact Rounded -radx199 add 12345 0.6 -> 12346 Inexact Rounded - -rounding: half_up - -radx200 add 12345 -0.1 -> 12345 Inexact Rounded -radx201 add 12345 -0.01 -> 12345 Inexact Rounded -radx202 add 12345 -0.001 -> 12345 Inexact Rounded -radx203 add 12345 -0.00001 -> 12345 Inexact Rounded -radx204 add 12345 -0.000001 -> 12345 Inexact Rounded -radx205 add 12345 -0.0000001 -> 12345 Inexact Rounded -radx206 add 12345 0 -> 12345 -radx207 add 12345 0.0000001 -> 12345 Inexact Rounded -radx208 add 12345 0.000001 -> 12345 Inexact Rounded -radx209 add 12345 0.00001 -> 12345 Inexact Rounded -radx210 add 12345 0.0001 -> 12345 Inexact Rounded -radx211 add 12345 0.001 -> 12345 Inexact Rounded -radx212 add 12345 0.01 -> 12345 Inexact Rounded -radx213 add 12345 0.1 -> 12345 Inexact Rounded - -radx215 add 12346 0.49999 -> 12346 Inexact Rounded -radx216 add 12346 0.5 -> 12347 Inexact Rounded -radx217 add 12346 0.50001 -> 12347 Inexact Rounded - -radx220 add 12345 0.4 -> 12345 Inexact Rounded -radx221 add 12345 0.49 -> 12345 Inexact Rounded -radx222 add 12345 0.499 -> 12345 Inexact Rounded -radx223 add 12345 0.49999 -> 12345 Inexact Rounded -radx224 add 12345 0.5 -> 12346 Inexact Rounded -radx225 add 12345 0.50001 -> 12346 Inexact Rounded -radx226 add 12345 0.5001 -> 12346 Inexact Rounded -radx227 add 12345 0.501 -> 12346 Inexact Rounded -radx228 add 12345 0.51 -> 12346 Inexact Rounded -radx229 add 12345 0.6 -> 12346 Inexact Rounded - -rounding: up - -radx230 add 12345 -0.1 -> 12345 Inexact Rounded -radx231 add 12345 -0.01 -> 12345 Inexact Rounded -radx232 add 12345 -0.001 -> 12345 Inexact Rounded -radx233 add 12345 -0.00001 -> 12345 Inexact Rounded -radx234 add 12345 -0.000001 -> 12345 Inexact Rounded -radx235 add 12345 -0.0000001 -> 12345 Inexact Rounded -radx236 add 12345 0 -> 12345 -radx237 add 12345 0.0000001 -> 12346 Inexact Rounded -radx238 add 12345 0.000001 -> 12346 Inexact Rounded -radx239 add 12345 0.00001 -> 12346 Inexact Rounded -radx240 add 12345 0.0001 -> 12346 Inexact Rounded -radx241 add 12345 0.001 -> 12346 Inexact Rounded -radx242 add 12345 0.01 -> 12346 Inexact Rounded -radx243 add 12345 0.1 -> 12346 Inexact Rounded - -radx245 add 12346 0.49999 -> 12347 Inexact Rounded -radx246 add 12346 0.5 -> 12347 Inexact Rounded -radx247 add 12346 0.50001 -> 12347 Inexact Rounded - -radx250 add 12345 0.4 -> 12346 Inexact Rounded -radx251 add 12345 0.49 -> 12346 Inexact Rounded -radx252 add 12345 0.499 -> 12346 Inexact Rounded -radx253 add 12345 0.49999 -> 12346 Inexact Rounded -radx254 add 12345 0.5 -> 12346 Inexact Rounded -radx255 add 12345 0.50001 -> 12346 Inexact Rounded -radx256 add 12345 0.5001 -> 12346 Inexact Rounded -radx257 add 12345 0.501 -> 12346 Inexact Rounded -radx258 add 12345 0.51 -> 12346 Inexact Rounded -radx259 add 12345 0.6 -> 12346 Inexact Rounded - -rounding: floor - -radx300 add 12345 -0.1 -> 12344 Inexact Rounded -radx301 add 12345 -0.01 -> 12344 Inexact Rounded -radx302 add 12345 -0.001 -> 12344 Inexact Rounded -radx303 add 12345 -0.00001 -> 12344 Inexact Rounded -radx304 add 12345 -0.000001 -> 12344 Inexact Rounded -radx305 add 12345 -0.0000001 -> 12344 Inexact Rounded -radx306 add 12345 0 -> 12345 -radx307 add 12345 0.0000001 -> 12345 Inexact Rounded -radx308 add 12345 0.000001 -> 12345 Inexact Rounded -radx309 add 12345 0.00001 -> 12345 Inexact Rounded -radx310 add 12345 0.0001 -> 12345 Inexact Rounded -radx311 add 12345 0.001 -> 12345 Inexact Rounded -radx312 add 12345 0.01 -> 12345 Inexact Rounded -radx313 add 12345 0.1 -> 12345 Inexact Rounded - -radx315 add 12346 0.49999 -> 12346 Inexact Rounded -radx316 add 12346 0.5 -> 12346 Inexact Rounded -radx317 add 12346 0.50001 -> 12346 Inexact Rounded - -radx320 add 12345 0.4 -> 12345 Inexact Rounded -radx321 add 12345 0.49 -> 12345 Inexact Rounded -radx322 add 12345 0.499 -> 12345 Inexact Rounded -radx323 add 12345 0.49999 -> 12345 Inexact Rounded -radx324 add 12345 0.5 -> 12345 Inexact Rounded -radx325 add 12345 0.50001 -> 12345 Inexact Rounded -radx326 add 12345 0.5001 -> 12345 Inexact Rounded -radx327 add 12345 0.501 -> 12345 Inexact Rounded -radx328 add 12345 0.51 -> 12345 Inexact Rounded -radx329 add 12345 0.6 -> 12345 Inexact Rounded - -rounding: ceiling - -radx330 add 12345 -0.1 -> 12345 Inexact Rounded -radx331 add 12345 -0.01 -> 12345 Inexact Rounded -radx332 add 12345 -0.001 -> 12345 Inexact Rounded -radx333 add 12345 -0.00001 -> 12345 Inexact Rounded -radx334 add 12345 -0.000001 -> 12345 Inexact Rounded -radx335 add 12345 -0.0000001 -> 12345 Inexact Rounded -radx336 add 12345 0 -> 12345 -radx337 add 12345 0.0000001 -> 12346 Inexact Rounded -radx338 add 12345 0.000001 -> 12346 Inexact Rounded -radx339 add 12345 0.00001 -> 12346 Inexact Rounded -radx340 add 12345 0.0001 -> 12346 Inexact Rounded -radx341 add 12345 0.001 -> 12346 Inexact Rounded -radx342 add 12345 0.01 -> 12346 Inexact Rounded -radx343 add 12345 0.1 -> 12346 Inexact Rounded - -radx345 add 12346 0.49999 -> 12347 Inexact Rounded -radx346 add 12346 0.5 -> 12347 Inexact Rounded -radx347 add 12346 0.50001 -> 12347 Inexact Rounded - -radx350 add 12345 0.4 -> 12346 Inexact Rounded -radx351 add 12345 0.49 -> 12346 Inexact Rounded -radx352 add 12345 0.499 -> 12346 Inexact Rounded -radx353 add 12345 0.49999 -> 12346 Inexact Rounded -radx354 add 12345 0.5 -> 12346 Inexact Rounded -radx355 add 12345 0.50001 -> 12346 Inexact Rounded -radx356 add 12345 0.5001 -> 12346 Inexact Rounded -radx357 add 12345 0.501 -> 12346 Inexact Rounded -radx358 add 12345 0.51 -> 12346 Inexact Rounded -radx359 add 12345 0.6 -> 12346 Inexact Rounded - --- negatives... - -rounding: down - -rsux100 add -12345 -0.1 -> -12345 Inexact Rounded -rsux101 add -12345 -0.01 -> -12345 Inexact Rounded -rsux102 add -12345 -0.001 -> -12345 Inexact Rounded -rsux103 add -12345 -0.00001 -> -12345 Inexact Rounded -rsux104 add -12345 -0.000001 -> -12345 Inexact Rounded -rsux105 add -12345 -0.0000001 -> -12345 Inexact Rounded -rsux106 add -12345 0 -> -12345 -rsux107 add -12345 0.0000001 -> -12344 Inexact Rounded -rsux108 add -12345 0.000001 -> -12344 Inexact Rounded -rsux109 add -12345 0.00001 -> -12344 Inexact Rounded -rsux110 add -12345 0.0001 -> -12344 Inexact Rounded -rsux111 add -12345 0.001 -> -12344 Inexact Rounded -rsux112 add -12345 0.01 -> -12344 Inexact Rounded -rsux113 add -12345 0.1 -> -12344 Inexact Rounded - -rsux115 add -12346 0.49999 -> -12345 Inexact Rounded -rsux116 add -12346 0.5 -> -12345 Inexact Rounded -rsux117 add -12346 0.50001 -> -12345 Inexact Rounded - -rsux120 add -12345 0.4 -> -12344 Inexact Rounded -rsux121 add -12345 0.49 -> -12344 Inexact Rounded -rsux122 add -12345 0.499 -> -12344 Inexact Rounded -rsux123 add -12345 0.49999 -> -12344 Inexact Rounded -rsux124 add -12345 0.5 -> -12344 Inexact Rounded -rsux125 add -12345 0.50001 -> -12344 Inexact Rounded -rsux126 add -12345 0.5001 -> -12344 Inexact Rounded -rsux127 add -12345 0.501 -> -12344 Inexact Rounded -rsux128 add -12345 0.51 -> -12344 Inexact Rounded -rsux129 add -12345 0.6 -> -12344 Inexact Rounded - -rounding: half_down - -rsux140 add -12345 -0.1 -> -12345 Inexact Rounded -rsux141 add -12345 -0.01 -> -12345 Inexact Rounded -rsux142 add -12345 -0.001 -> -12345 Inexact Rounded -rsux143 add -12345 -0.00001 -> -12345 Inexact Rounded -rsux144 add -12345 -0.000001 -> -12345 Inexact Rounded -rsux145 add -12345 -0.0000001 -> -12345 Inexact Rounded -rsux146 add -12345 0 -> -12345 -rsux147 add -12345 0.0000001 -> -12345 Inexact Rounded -rsux148 add -12345 0.000001 -> -12345 Inexact Rounded -rsux149 add -12345 0.00001 -> -12345 Inexact Rounded -rsux150 add -12345 0.0001 -> -12345 Inexact Rounded -rsux151 add -12345 0.001 -> -12345 Inexact Rounded -rsux152 add -12345 0.01 -> -12345 Inexact Rounded -rsux153 add -12345 0.1 -> -12345 Inexact Rounded - -rsux155 add -12346 0.49999 -> -12346 Inexact Rounded -rsux156 add -12346 0.5 -> -12345 Inexact Rounded -rsux157 add -12346 0.50001 -> -12345 Inexact Rounded - -rsux160 add -12345 0.4 -> -12345 Inexact Rounded -rsux161 add -12345 0.49 -> -12345 Inexact Rounded -rsux162 add -12345 0.499 -> -12345 Inexact Rounded -rsux163 add -12345 0.49999 -> -12345 Inexact Rounded -rsux164 add -12345 0.5 -> -12344 Inexact Rounded -rsux165 add -12345 0.50001 -> -12344 Inexact Rounded -rsux166 add -12345 0.5001 -> -12344 Inexact Rounded -rsux167 add -12345 0.501 -> -12344 Inexact Rounded -rsux168 add -12345 0.51 -> -12344 Inexact Rounded -rsux169 add -12345 0.6 -> -12344 Inexact Rounded - -rounding: half_even - -rsux170 add -12345 -0.1 -> -12345 Inexact Rounded -rsux171 add -12345 -0.01 -> -12345 Inexact Rounded -rsux172 add -12345 -0.001 -> -12345 Inexact Rounded -rsux173 add -12345 -0.00001 -> -12345 Inexact Rounded -rsux174 add -12345 -0.000001 -> -12345 Inexact Rounded -rsux175 add -12345 -0.0000001 -> -12345 Inexact Rounded -rsux176 add -12345 0 -> -12345 -rsux177 add -12345 0.0000001 -> -12345 Inexact Rounded -rsux178 add -12345 0.000001 -> -12345 Inexact Rounded -rsux179 add -12345 0.00001 -> -12345 Inexact Rounded -rsux180 add -12345 0.0001 -> -12345 Inexact Rounded -rsux181 add -12345 0.001 -> -12345 Inexact Rounded -rsux182 add -12345 0.01 -> -12345 Inexact Rounded -rsux183 add -12345 0.1 -> -12345 Inexact Rounded - -rsux185 add -12346 0.49999 -> -12346 Inexact Rounded -rsux186 add -12346 0.5 -> -12346 Inexact Rounded -rsux187 add -12346 0.50001 -> -12345 Inexact Rounded - -rsux190 add -12345 0.4 -> -12345 Inexact Rounded -rsux191 add -12345 0.49 -> -12345 Inexact Rounded -rsux192 add -12345 0.499 -> -12345 Inexact Rounded -rsux193 add -12345 0.49999 -> -12345 Inexact Rounded -rsux194 add -12345 0.5 -> -12344 Inexact Rounded -rsux195 add -12345 0.50001 -> -12344 Inexact Rounded -rsux196 add -12345 0.5001 -> -12344 Inexact Rounded -rsux197 add -12345 0.501 -> -12344 Inexact Rounded -rsux198 add -12345 0.51 -> -12344 Inexact Rounded -rsux199 add -12345 0.6 -> -12344 Inexact Rounded - -rounding: half_up - -rsux200 add -12345 -0.1 -> -12345 Inexact Rounded -rsux201 add -12345 -0.01 -> -12345 Inexact Rounded -rsux202 add -12345 -0.001 -> -12345 Inexact Rounded -rsux203 add -12345 -0.00001 -> -12345 Inexact Rounded -rsux204 add -12345 -0.000001 -> -12345 Inexact Rounded -rsux205 add -12345 -0.0000001 -> -12345 Inexact Rounded -rsux206 add -12345 0 -> -12345 -rsux207 add -12345 0.0000001 -> -12345 Inexact Rounded -rsux208 add -12345 0.000001 -> -12345 Inexact Rounded -rsux209 add -12345 0.00001 -> -12345 Inexact Rounded -rsux210 add -12345 0.0001 -> -12345 Inexact Rounded -rsux211 add -12345 0.001 -> -12345 Inexact Rounded -rsux212 add -12345 0.01 -> -12345 Inexact Rounded -rsux213 add -12345 0.1 -> -12345 Inexact Rounded - -rsux215 add -12346 0.49999 -> -12346 Inexact Rounded -rsux216 add -12346 0.5 -> -12346 Inexact Rounded -rsux217 add -12346 0.50001 -> -12345 Inexact Rounded - -rsux220 add -12345 0.4 -> -12345 Inexact Rounded -rsux221 add -12345 0.49 -> -12345 Inexact Rounded -rsux222 add -12345 0.499 -> -12345 Inexact Rounded -rsux223 add -12345 0.49999 -> -12345 Inexact Rounded -rsux224 add -12345 0.5 -> -12345 Inexact Rounded -rsux225 add -12345 0.50001 -> -12344 Inexact Rounded -rsux226 add -12345 0.5001 -> -12344 Inexact Rounded -rsux227 add -12345 0.501 -> -12344 Inexact Rounded -rsux228 add -12345 0.51 -> -12344 Inexact Rounded -rsux229 add -12345 0.6 -> -12344 Inexact Rounded - -rounding: up - -rsux230 add -12345 -0.1 -> -12346 Inexact Rounded -rsux231 add -12345 -0.01 -> -12346 Inexact Rounded -rsux232 add -12345 -0.001 -> -12346 Inexact Rounded -rsux233 add -12345 -0.00001 -> -12346 Inexact Rounded -rsux234 add -12345 -0.000001 -> -12346 Inexact Rounded -rsux235 add -12345 -0.0000001 -> -12346 Inexact Rounded -rsux236 add -12345 0 -> -12345 -rsux237 add -12345 0.0000001 -> -12345 Inexact Rounded -rsux238 add -12345 0.000001 -> -12345 Inexact Rounded -rsux239 add -12345 0.00001 -> -12345 Inexact Rounded -rsux240 add -12345 0.0001 -> -12345 Inexact Rounded -rsux241 add -12345 0.001 -> -12345 Inexact Rounded -rsux242 add -12345 0.01 -> -12345 Inexact Rounded -rsux243 add -12345 0.1 -> -12345 Inexact Rounded - -rsux245 add -12346 0.49999 -> -12346 Inexact Rounded -rsux246 add -12346 0.5 -> -12346 Inexact Rounded -rsux247 add -12346 0.50001 -> -12346 Inexact Rounded - -rsux250 add -12345 0.4 -> -12345 Inexact Rounded -rsux251 add -12345 0.49 -> -12345 Inexact Rounded -rsux252 add -12345 0.499 -> -12345 Inexact Rounded -rsux253 add -12345 0.49999 -> -12345 Inexact Rounded -rsux254 add -12345 0.5 -> -12345 Inexact Rounded -rsux255 add -12345 0.50001 -> -12345 Inexact Rounded -rsux256 add -12345 0.5001 -> -12345 Inexact Rounded -rsux257 add -12345 0.501 -> -12345 Inexact Rounded -rsux258 add -12345 0.51 -> -12345 Inexact Rounded -rsux259 add -12345 0.6 -> -12345 Inexact Rounded - -rounding: floor - -rsux300 add -12345 -0.1 -> -12346 Inexact Rounded -rsux301 add -12345 -0.01 -> -12346 Inexact Rounded -rsux302 add -12345 -0.001 -> -12346 Inexact Rounded -rsux303 add -12345 -0.00001 -> -12346 Inexact Rounded -rsux304 add -12345 -0.000001 -> -12346 Inexact Rounded -rsux305 add -12345 -0.0000001 -> -12346 Inexact Rounded -rsux306 add -12345 0 -> -12345 -rsux307 add -12345 0.0000001 -> -12345 Inexact Rounded -rsux308 add -12345 0.000001 -> -12345 Inexact Rounded -rsux309 add -12345 0.00001 -> -12345 Inexact Rounded -rsux310 add -12345 0.0001 -> -12345 Inexact Rounded -rsux311 add -12345 0.001 -> -12345 Inexact Rounded -rsux312 add -12345 0.01 -> -12345 Inexact Rounded -rsux313 add -12345 0.1 -> -12345 Inexact Rounded - -rsux315 add -12346 0.49999 -> -12346 Inexact Rounded -rsux316 add -12346 0.5 -> -12346 Inexact Rounded -rsux317 add -12346 0.50001 -> -12346 Inexact Rounded - -rsux320 add -12345 0.4 -> -12345 Inexact Rounded -rsux321 add -12345 0.49 -> -12345 Inexact Rounded -rsux322 add -12345 0.499 -> -12345 Inexact Rounded -rsux323 add -12345 0.49999 -> -12345 Inexact Rounded -rsux324 add -12345 0.5 -> -12345 Inexact Rounded -rsux325 add -12345 0.50001 -> -12345 Inexact Rounded -rsux326 add -12345 0.5001 -> -12345 Inexact Rounded -rsux327 add -12345 0.501 -> -12345 Inexact Rounded -rsux328 add -12345 0.51 -> -12345 Inexact Rounded -rsux329 add -12345 0.6 -> -12345 Inexact Rounded - -rounding: ceiling - -rsux330 add -12345 -0.1 -> -12345 Inexact Rounded -rsux331 add -12345 -0.01 -> -12345 Inexact Rounded -rsux332 add -12345 -0.001 -> -12345 Inexact Rounded -rsux333 add -12345 -0.00001 -> -12345 Inexact Rounded -rsux334 add -12345 -0.000001 -> -12345 Inexact Rounded -rsux335 add -12345 -0.0000001 -> -12345 Inexact Rounded -rsux336 add -12345 0 -> -12345 -rsux337 add -12345 0.0000001 -> -12344 Inexact Rounded -rsux338 add -12345 0.000001 -> -12344 Inexact Rounded -rsux339 add -12345 0.00001 -> -12344 Inexact Rounded -rsux340 add -12345 0.0001 -> -12344 Inexact Rounded -rsux341 add -12345 0.001 -> -12344 Inexact Rounded -rsux342 add -12345 0.01 -> -12344 Inexact Rounded -rsux343 add -12345 0.1 -> -12344 Inexact Rounded - -rsux345 add -12346 0.49999 -> -12345 Inexact Rounded -rsux346 add -12346 0.5 -> -12345 Inexact Rounded -rsux347 add -12346 0.50001 -> -12345 Inexact Rounded - -rsux350 add -12345 0.4 -> -12344 Inexact Rounded -rsux351 add -12345 0.49 -> -12344 Inexact Rounded -rsux352 add -12345 0.499 -> -12344 Inexact Rounded -rsux353 add -12345 0.49999 -> -12344 Inexact Rounded -rsux354 add -12345 0.5 -> -12344 Inexact Rounded -rsux355 add -12345 0.50001 -> -12344 Inexact Rounded -rsux356 add -12345 0.5001 -> -12344 Inexact Rounded -rsux357 add -12345 0.501 -> -12344 Inexact Rounded -rsux358 add -12345 0.51 -> -12344 Inexact Rounded -rsux359 add -12345 0.6 -> -12344 Inexact Rounded - --- Check cancellation subtractions --- (The IEEE 854 'curious rule' in $6.3) - -rounding: down -rzex001 add 0 0 -> 0 -rzex002 add 0 -0 -> 0 -rzex003 add -0 0 -> 0 -rzex004 add -0 -0 -> -0 -rzex005 add 1 -1 -> 0 -rzex006 add -1 1 -> 0 -rzex007 add 1.5 -1.5 -> 0.0 -rzex008 add -1.5 1.5 -> 0.0 -rzex009 add 2 -2 -> 0 -rzex010 add -2 2 -> 0 - -rounding: up -rzex011 add 0 0 -> 0 -rzex012 add 0 -0 -> 0 -rzex013 add -0 0 -> 0 -rzex014 add -0 -0 -> -0 -rzex015 add 1 -1 -> 0 -rzex016 add -1 1 -> 0 -rzex017 add 1.5 -1.5 -> 0.0 -rzex018 add -1.5 1.5 -> 0.0 -rzex019 add 2 -2 -> 0 -rzex020 add -2 2 -> 0 - -rounding: half_up -rzex021 add 0 0 -> 0 -rzex022 add 0 -0 -> 0 -rzex023 add -0 0 -> 0 -rzex024 add -0 -0 -> -0 -rzex025 add 1 -1 -> 0 -rzex026 add -1 1 -> 0 -rzex027 add 1.5 -1.5 -> 0.0 -rzex028 add -1.5 1.5 -> 0.0 -rzex029 add 2 -2 -> 0 -rzex030 add -2 2 -> 0 - -rounding: half_down -rzex031 add 0 0 -> 0 -rzex032 add 0 -0 -> 0 -rzex033 add -0 0 -> 0 -rzex034 add -0 -0 -> -0 -rzex035 add 1 -1 -> 0 -rzex036 add -1 1 -> 0 -rzex037 add 1.5 -1.5 -> 0.0 -rzex038 add -1.5 1.5 -> 0.0 -rzex039 add 2 -2 -> 0 -rzex040 add -2 2 -> 0 - -rounding: half_even -rzex041 add 0 0 -> 0 -rzex042 add 0 -0 -> 0 -rzex043 add -0 0 -> 0 -rzex044 add -0 -0 -> -0 -rzex045 add 1 -1 -> 0 -rzex046 add -1 1 -> 0 -rzex047 add 1.5 -1.5 -> 0.0 -rzex048 add -1.5 1.5 -> 0.0 -rzex049 add 2 -2 -> 0 -rzex050 add -2 2 -> 0 - -rounding: floor -rzex051 add 0 0 -> 0 -rzex052 add 0 -0 -> -0 -- here are two 'curious' -rzex053 add -0 0 -> -0 -- -rzex054 add -0 -0 -> -0 -rzex055 add 1 -1 -> -0 -- here are the rest -rzex056 add -1 1 -> -0 -- .. -rzex057 add 1.5 -1.5 -> -0.0 -- .. -rzex058 add -1.5 1.5 -> -0.0 -- .. -rzex059 add 2 -2 -> -0 -- .. -rzex060 add -2 2 -> -0 -- .. - -rounding: ceiling -rzex061 add 0 0 -> 0 -rzex062 add 0 -0 -> 0 -rzex063 add -0 0 -> 0 -rzex064 add -0 -0 -> -0 -rzex065 add 1 -1 -> 0 -rzex066 add -1 1 -> 0 -rzex067 add 1.5 -1.5 -> 0.0 -rzex068 add -1.5 1.5 -> 0.0 -rzex069 add 2 -2 -> 0 -rzex070 add -2 2 -> 0 - - --- Division operators ------------------------------------------------- - -rounding: down -rdvx101 divide 12345 1 -> 12345 -rdvx102 divide 12345 1.0001 -> 12343 Inexact Rounded -rdvx103 divide 12345 1.001 -> 12332 Inexact Rounded -rdvx104 divide 12345 1.01 -> 12222 Inexact Rounded -rdvx105 divide 12345 1.1 -> 11222 Inexact Rounded -rdvx106 divide 12355 4 -> 3088.7 Inexact Rounded -rdvx107 divide 12345 4 -> 3086.2 Inexact Rounded -rdvx108 divide 12355 4.0001 -> 3088.6 Inexact Rounded -rdvx109 divide 12345 4.0001 -> 3086.1 Inexact Rounded -rdvx110 divide 12345 4.9 -> 2519.3 Inexact Rounded -rdvx111 divide 12345 4.99 -> 2473.9 Inexact Rounded -rdvx112 divide 12345 4.999 -> 2469.4 Inexact Rounded -rdvx113 divide 12345 4.9999 -> 2469.0 Inexact Rounded -rdvx114 divide 12345 5 -> 2469 -rdvx115 divide 12345 5.0001 -> 2468.9 Inexact Rounded -rdvx116 divide 12345 5.001 -> 2468.5 Inexact Rounded -rdvx117 divide 12345 5.01 -> 2464.0 Inexact Rounded -rdvx118 divide 12345 5.1 -> 2420.5 Inexact Rounded - -rounding: half_down -rdvx201 divide 12345 1 -> 12345 -rdvx202 divide 12345 1.0001 -> 12344 Inexact Rounded -rdvx203 divide 12345 1.001 -> 12333 Inexact Rounded -rdvx204 divide 12345 1.01 -> 12223 Inexact Rounded -rdvx205 divide 12345 1.1 -> 11223 Inexact Rounded -rdvx206 divide 12355 4 -> 3088.7 Inexact Rounded -rdvx207 divide 12345 4 -> 3086.2 Inexact Rounded -rdvx208 divide 12355 4.0001 -> 3088.7 Inexact Rounded -rdvx209 divide 12345 4.0001 -> 3086.2 Inexact Rounded -rdvx210 divide 12345 4.9 -> 2519.4 Inexact Rounded -rdvx211 divide 12345 4.99 -> 2473.9 Inexact Rounded -rdvx212 divide 12345 4.999 -> 2469.5 Inexact Rounded -rdvx213 divide 12345 4.9999 -> 2469.0 Inexact Rounded -rdvx214 divide 12345 5 -> 2469 -rdvx215 divide 12345 5.0001 -> 2469.0 Inexact Rounded -rdvx216 divide 12345 5.001 -> 2468.5 Inexact Rounded -rdvx217 divide 12345 5.01 -> 2464.1 Inexact Rounded -rdvx218 divide 12345 5.1 -> 2420.6 Inexact Rounded - -rounding: half_even -rdvx301 divide 12345 1 -> 12345 -rdvx302 divide 12345 1.0001 -> 12344 Inexact Rounded -rdvx303 divide 12345 1.001 -> 12333 Inexact Rounded -rdvx304 divide 12345 1.01 -> 12223 Inexact Rounded -rdvx305 divide 12345 1.1 -> 11223 Inexact Rounded -rdvx306 divide 12355 4 -> 3088.8 Inexact Rounded -rdvx307 divide 12345 4 -> 3086.2 Inexact Rounded -rdvx308 divide 12355 4.0001 -> 3088.7 Inexact Rounded -rdvx309 divide 12345 4.0001 -> 3086.2 Inexact Rounded -rdvx310 divide 12345 4.9 -> 2519.4 Inexact Rounded -rdvx311 divide 12345 4.99 -> 2473.9 Inexact Rounded -rdvx312 divide 12345 4.999 -> 2469.5 Inexact Rounded -rdvx313 divide 12345 4.9999 -> 2469.0 Inexact Rounded -rdvx314 divide 12345 5 -> 2469 -rdvx315 divide 12345 5.0001 -> 2469.0 Inexact Rounded -rdvx316 divide 12345 5.001 -> 2468.5 Inexact Rounded -rdvx317 divide 12345 5.01 -> 2464.1 Inexact Rounded -rdvx318 divide 12345 5.1 -> 2420.6 Inexact Rounded - -rounding: half_up -rdvx401 divide 12345 1 -> 12345 -rdvx402 divide 12345 1.0001 -> 12344 Inexact Rounded -rdvx403 divide 12345 1.001 -> 12333 Inexact Rounded -rdvx404 divide 12345 1.01 -> 12223 Inexact Rounded -rdvx405 divide 12345 1.1 -> 11223 Inexact Rounded -rdvx406 divide 12355 4 -> 3088.8 Inexact Rounded -rdvx407 divide 12345 4 -> 3086.3 Inexact Rounded -rdvx408 divide 12355 4.0001 -> 3088.7 Inexact Rounded -rdvx409 divide 12345 4.0001 -> 3086.2 Inexact Rounded -rdvx410 divide 12345 4.9 -> 2519.4 Inexact Rounded -rdvx411 divide 12345 4.99 -> 2473.9 Inexact Rounded -rdvx412 divide 12345 4.999 -> 2469.5 Inexact Rounded -rdvx413 divide 12345 4.9999 -> 2469.0 Inexact Rounded -rdvx414 divide 12345 5 -> 2469 -rdvx415 divide 12345 5.0001 -> 2469.0 Inexact Rounded -rdvx416 divide 12345 5.001 -> 2468.5 Inexact Rounded -rdvx417 divide 12345 5.01 -> 2464.1 Inexact Rounded -rdvx418 divide 12345 5.1 -> 2420.6 Inexact Rounded - -rounding: up -rdvx501 divide 12345 1 -> 12345 -rdvx502 divide 12345 1.0001 -> 12344 Inexact Rounded -rdvx503 divide 12345 1.001 -> 12333 Inexact Rounded -rdvx504 divide 12345 1.01 -> 12223 Inexact Rounded -rdvx505 divide 12345 1.1 -> 11223 Inexact Rounded -rdvx506 divide 12355 4 -> 3088.8 Inexact Rounded -rdvx507 divide 12345 4 -> 3086.3 Inexact Rounded -rdvx508 divide 12355 4.0001 -> 3088.7 Inexact Rounded -rdvx509 divide 12345 4.0001 -> 3086.2 Inexact Rounded -rdvx510 divide 12345 4.9 -> 2519.4 Inexact Rounded -rdvx511 divide 12345 4.99 -> 2474.0 Inexact Rounded -rdvx512 divide 12345 4.999 -> 2469.5 Inexact Rounded -rdvx513 divide 12345 4.9999 -> 2469.1 Inexact Rounded -rdvx514 divide 12345 5 -> 2469 -rdvx515 divide 12345 5.0001 -> 2469.0 Inexact Rounded -rdvx516 divide 12345 5.001 -> 2468.6 Inexact Rounded -rdvx517 divide 12345 5.01 -> 2464.1 Inexact Rounded -rdvx518 divide 12345 5.1 -> 2420.6 Inexact Rounded - -rounding: floor -rdvx601 divide 12345 1 -> 12345 -rdvx602 divide 12345 1.0001 -> 12343 Inexact Rounded -rdvx603 divide 12345 1.001 -> 12332 Inexact Rounded -rdvx604 divide 12345 1.01 -> 12222 Inexact Rounded -rdvx605 divide 12345 1.1 -> 11222 Inexact Rounded -rdvx606 divide 12355 4 -> 3088.7 Inexact Rounded -rdvx607 divide 12345 4 -> 3086.2 Inexact Rounded -rdvx608 divide 12355 4.0001 -> 3088.6 Inexact Rounded -rdvx609 divide 12345 4.0001 -> 3086.1 Inexact Rounded -rdvx610 divide 12345 4.9 -> 2519.3 Inexact Rounded -rdvx611 divide 12345 4.99 -> 2473.9 Inexact Rounded -rdvx612 divide 12345 4.999 -> 2469.4 Inexact Rounded -rdvx613 divide 12345 4.9999 -> 2469.0 Inexact Rounded -rdvx614 divide 12345 5 -> 2469 -rdvx615 divide 12345 5.0001 -> 2468.9 Inexact Rounded -rdvx616 divide 12345 5.001 -> 2468.5 Inexact Rounded -rdvx617 divide 12345 5.01 -> 2464.0 Inexact Rounded -rdvx618 divide 12345 5.1 -> 2420.5 Inexact Rounded - -rounding: ceiling -rdvx701 divide 12345 1 -> 12345 -rdvx702 divide 12345 1.0001 -> 12344 Inexact Rounded -rdvx703 divide 12345 1.001 -> 12333 Inexact Rounded -rdvx704 divide 12345 1.01 -> 12223 Inexact Rounded -rdvx705 divide 12345 1.1 -> 11223 Inexact Rounded -rdvx706 divide 12355 4 -> 3088.8 Inexact Rounded -rdvx707 divide 12345 4 -> 3086.3 Inexact Rounded -rdvx708 divide 12355 4.0001 -> 3088.7 Inexact Rounded -rdvx709 divide 12345 4.0001 -> 3086.2 Inexact Rounded -rdvx710 divide 12345 4.9 -> 2519.4 Inexact Rounded -rdvx711 divide 12345 4.99 -> 2474.0 Inexact Rounded -rdvx712 divide 12345 4.999 -> 2469.5 Inexact Rounded -rdvx713 divide 12345 4.9999 -> 2469.1 Inexact Rounded -rdvx714 divide 12345 5 -> 2469 -rdvx715 divide 12345 5.0001 -> 2469.0 Inexact Rounded -rdvx716 divide 12345 5.001 -> 2468.6 Inexact Rounded -rdvx717 divide 12345 5.01 -> 2464.1 Inexact Rounded -rdvx718 divide 12345 5.1 -> 2420.6 Inexact Rounded - --- [divideInteger and remainder unaffected] - --- Multiplication operator -------------------------------------------- - -rounding: down -rmux101 multiply 12345 1 -> 12345 -rmux102 multiply 12345 1.0001 -> 12346 Inexact Rounded -rmux103 multiply 12345 1.001 -> 12357 Inexact Rounded -rmux104 multiply 12345 1.01 -> 12468 Inexact Rounded -rmux105 multiply 12345 1.1 -> 13579 Inexact Rounded -rmux106 multiply 12345 4 -> 49380 -rmux107 multiply 12345 4.0001 -> 49381 Inexact Rounded -rmux108 multiply 12345 4.9 -> 60490 Inexact Rounded -rmux109 multiply 12345 4.99 -> 61601 Inexact Rounded -rmux110 multiply 12345 4.999 -> 61712 Inexact Rounded -rmux111 multiply 12345 4.9999 -> 61723 Inexact Rounded -rmux112 multiply 12345 5 -> 61725 -rmux113 multiply 12345 5.0001 -> 61726 Inexact Rounded -rmux114 multiply 12345 5.001 -> 61737 Inexact Rounded -rmux115 multiply 12345 5.01 -> 61848 Inexact Rounded -rmux116 multiply 12345 12 -> 1.4814E+5 Rounded -rmux117 multiply 12345 13 -> 1.6048E+5 Inexact Rounded -rmux118 multiply 12355 12 -> 1.4826E+5 Rounded -rmux119 multiply 12355 13 -> 1.6061E+5 Inexact Rounded - -rounding: half_down -rmux201 multiply 12345 1 -> 12345 -rmux202 multiply 12345 1.0001 -> 12346 Inexact Rounded -rmux203 multiply 12345 1.001 -> 12357 Inexact Rounded -rmux204 multiply 12345 1.01 -> 12468 Inexact Rounded -rmux205 multiply 12345 1.1 -> 13579 Inexact Rounded -rmux206 multiply 12345 4 -> 49380 -rmux207 multiply 12345 4.0001 -> 49381 Inexact Rounded -rmux208 multiply 12345 4.9 -> 60490 Inexact Rounded -rmux209 multiply 12345 4.99 -> 61602 Inexact Rounded -rmux210 multiply 12345 4.999 -> 61713 Inexact Rounded -rmux211 multiply 12345 4.9999 -> 61724 Inexact Rounded -rmux212 multiply 12345 5 -> 61725 -rmux213 multiply 12345 5.0001 -> 61726 Inexact Rounded -rmux214 multiply 12345 5.001 -> 61737 Inexact Rounded -rmux215 multiply 12345 5.01 -> 61848 Inexact Rounded -rmux216 multiply 12345 12 -> 1.4814E+5 Rounded -rmux217 multiply 12345 13 -> 1.6048E+5 Inexact Rounded -rmux218 multiply 12355 12 -> 1.4826E+5 Rounded -rmux219 multiply 12355 13 -> 1.6061E+5 Inexact Rounded - -rounding: half_even -rmux301 multiply 12345 1 -> 12345 -rmux302 multiply 12345 1.0001 -> 12346 Inexact Rounded -rmux303 multiply 12345 1.001 -> 12357 Inexact Rounded -rmux304 multiply 12345 1.01 -> 12468 Inexact Rounded -rmux305 multiply 12345 1.1 -> 13580 Inexact Rounded -rmux306 multiply 12345 4 -> 49380 -rmux307 multiply 12345 4.0001 -> 49381 Inexact Rounded -rmux308 multiply 12345 4.9 -> 60490 Inexact Rounded -rmux309 multiply 12345 4.99 -> 61602 Inexact Rounded -rmux310 multiply 12345 4.999 -> 61713 Inexact Rounded -rmux311 multiply 12345 4.9999 -> 61724 Inexact Rounded -rmux312 multiply 12345 5 -> 61725 -rmux313 multiply 12345 5.0001 -> 61726 Inexact Rounded -rmux314 multiply 12345 5.001 -> 61737 Inexact Rounded -rmux315 multiply 12345 5.01 -> 61848 Inexact Rounded -rmux316 multiply 12345 12 -> 1.4814E+5 Rounded -rmux317 multiply 12345 13 -> 1.6048E+5 Inexact Rounded -rmux318 multiply 12355 12 -> 1.4826E+5 Rounded -rmux319 multiply 12355 13 -> 1.6062E+5 Inexact Rounded - -rounding: half_up -rmux401 multiply 12345 1 -> 12345 -rmux402 multiply 12345 1.0001 -> 12346 Inexact Rounded -rmux403 multiply 12345 1.001 -> 12357 Inexact Rounded -rmux404 multiply 12345 1.01 -> 12468 Inexact Rounded -rmux405 multiply 12345 1.1 -> 13580 Inexact Rounded -rmux406 multiply 12345 4 -> 49380 -rmux407 multiply 12345 4.0001 -> 49381 Inexact Rounded -rmux408 multiply 12345 4.9 -> 60491 Inexact Rounded -rmux409 multiply 12345 4.99 -> 61602 Inexact Rounded -rmux410 multiply 12345 4.999 -> 61713 Inexact Rounded -rmux411 multiply 12345 4.9999 -> 61724 Inexact Rounded -rmux412 multiply 12345 5 -> 61725 -rmux413 multiply 12345 5.0001 -> 61726 Inexact Rounded -rmux414 multiply 12345 5.001 -> 61737 Inexact Rounded -rmux415 multiply 12345 5.01 -> 61848 Inexact Rounded -rmux416 multiply 12345 12 -> 1.4814E+5 Rounded -rmux417 multiply 12345 13 -> 1.6049E+5 Inexact Rounded -rmux418 multiply 12355 12 -> 1.4826E+5 Rounded -rmux419 multiply 12355 13 -> 1.6062E+5 Inexact Rounded - -rounding: up -rmux501 multiply 12345 1 -> 12345 -rmux502 multiply 12345 1.0001 -> 12347 Inexact Rounded -rmux503 multiply 12345 1.001 -> 12358 Inexact Rounded -rmux504 multiply 12345 1.01 -> 12469 Inexact Rounded -rmux505 multiply 12345 1.1 -> 13580 Inexact Rounded -rmux506 multiply 12345 4 -> 49380 -rmux507 multiply 12345 4.0001 -> 49382 Inexact Rounded -rmux508 multiply 12345 4.9 -> 60491 Inexact Rounded -rmux509 multiply 12345 4.99 -> 61602 Inexact Rounded -rmux510 multiply 12345 4.999 -> 61713 Inexact Rounded -rmux511 multiply 12345 4.9999 -> 61724 Inexact Rounded -rmux512 multiply 12345 5 -> 61725 -rmux513 multiply 12345 5.0001 -> 61727 Inexact Rounded -rmux514 multiply 12345 5.001 -> 61738 Inexact Rounded -rmux515 multiply 12345 5.01 -> 61849 Inexact Rounded -rmux516 multiply 12345 12 -> 1.4814E+5 Rounded -rmux517 multiply 12345 13 -> 1.6049E+5 Inexact Rounded -rmux518 multiply 12355 12 -> 1.4826E+5 Rounded -rmux519 multiply 12355 13 -> 1.6062E+5 Inexact Rounded --- [rmux516 & rmux518] can surprise - -rounding: floor -rmux601 multiply 12345 1 -> 12345 -rmux602 multiply 12345 1.0001 -> 12346 Inexact Rounded -rmux603 multiply 12345 1.001 -> 12357 Inexact Rounded -rmux604 multiply 12345 1.01 -> 12468 Inexact Rounded -rmux605 multiply 12345 1.1 -> 13579 Inexact Rounded -rmux606 multiply 12345 4 -> 49380 -rmux607 multiply 12345 4.0001 -> 49381 Inexact Rounded -rmux608 multiply 12345 4.9 -> 60490 Inexact Rounded -rmux609 multiply 12345 4.99 -> 61601 Inexact Rounded -rmux610 multiply 12345 4.999 -> 61712 Inexact Rounded -rmux611 multiply 12345 4.9999 -> 61723 Inexact Rounded -rmux612 multiply 12345 5 -> 61725 -rmux613 multiply 12345 5.0001 -> 61726 Inexact Rounded -rmux614 multiply 12345 5.001 -> 61737 Inexact Rounded -rmux615 multiply 12345 5.01 -> 61848 Inexact Rounded -rmux616 multiply 12345 12 -> 1.4814E+5 Rounded -rmux617 multiply 12345 13 -> 1.6048E+5 Inexact Rounded -rmux618 multiply 12355 12 -> 1.4826E+5 Rounded -rmux619 multiply 12355 13 -> 1.6061E+5 Inexact Rounded - -rounding: ceiling -rmux701 multiply 12345 1 -> 12345 -rmux702 multiply 12345 1.0001 -> 12347 Inexact Rounded -rmux703 multiply 12345 1.001 -> 12358 Inexact Rounded -rmux704 multiply 12345 1.01 -> 12469 Inexact Rounded -rmux705 multiply 12345 1.1 -> 13580 Inexact Rounded -rmux706 multiply 12345 4 -> 49380 -rmux707 multiply 12345 4.0001 -> 49382 Inexact Rounded -rmux708 multiply 12345 4.9 -> 60491 Inexact Rounded -rmux709 multiply 12345 4.99 -> 61602 Inexact Rounded -rmux710 multiply 12345 4.999 -> 61713 Inexact Rounded -rmux711 multiply 12345 4.9999 -> 61724 Inexact Rounded -rmux712 multiply 12345 5 -> 61725 -rmux713 multiply 12345 5.0001 -> 61727 Inexact Rounded -rmux714 multiply 12345 5.001 -> 61738 Inexact Rounded -rmux715 multiply 12345 5.01 -> 61849 Inexact Rounded -rmux716 multiply 12345 12 -> 1.4814E+5 Rounded -rmux717 multiply 12345 13 -> 1.6049E+5 Inexact Rounded -rmux718 multiply 12355 12 -> 1.4826E+5 Rounded -rmux719 multiply 12355 13 -> 1.6062E+5 Inexact Rounded - --- Power operator ----------------------------------------------------- - -rounding: down -rpox101 power 12345 -5 -> 3.4877E-21 Inexact Rounded -rpox102 power 12345 -4 -> 4.3056E-17 Inexact Rounded -rpox103 power 12345 -3 -> 5.3152E-13 Inexact Rounded -rpox104 power 12345 -2 -> 6.5617E-9 Inexact Rounded -rpox105 power 12345 -1 -> 0.000081004 Inexact Rounded -rpox106 power 12345 0 -> 1 -rpox107 power 12345 1 -> 12345 -rpox108 power 12345 2 -> 1.5239E+8 Inexact Rounded -rpox109 power 12345 3 -> 1.8813E+12 Inexact Rounded -rpox110 power 12345 4 -> 2.3225E+16 Inexact Rounded -rpox111 power 12345 5 -> 2.8671E+20 Inexact Rounded -rpox112 power 415 2 -> 1.7222E+5 Inexact Rounded -rpox113 power 75 3 -> 4.2187E+5 Inexact Rounded - -rounding: half_down -rpox201 power 12345 -5 -> 3.4877E-21 Inexact Rounded -rpox202 power 12345 -4 -> 4.3056E-17 Inexact Rounded -rpox203 power 12345 -3 -> 5.3153E-13 Inexact Rounded -rpox204 power 12345 -2 -> 6.5617E-9 Inexact Rounded -rpox205 power 12345 -1 -> 0.000081004 Inexact Rounded -rpox206 power 12345 0 -> 1 -rpox207 power 12345 1 -> 12345 -rpox208 power 12345 2 -> 1.5240E+8 Inexact Rounded -rpox209 power 12345 3 -> 1.8814E+12 Inexact Rounded -rpox210 power 12345 4 -> 2.3225E+16 Inexact Rounded -rpox211 power 12345 5 -> 2.8672E+20 Inexact Rounded -rpox212 power 415 2 -> 1.7222E+5 Inexact Rounded -rpox213 power 75 3 -> 4.2187E+5 Inexact Rounded - -rounding: half_even -rpox301 power 12345 -5 -> 3.4877E-21 Inexact Rounded -rpox302 power 12345 -4 -> 4.3056E-17 Inexact Rounded -rpox303 power 12345 -3 -> 5.3153E-13 Inexact Rounded -rpox304 power 12345 -2 -> 6.5617E-9 Inexact Rounded -rpox305 power 12345 -1 -> 0.000081004 Inexact Rounded -rpox306 power 12345 0 -> 1 -rpox307 power 12345 1 -> 12345 -rpox308 power 12345 2 -> 1.5240E+8 Inexact Rounded -rpox309 power 12345 3 -> 1.8814E+12 Inexact Rounded -rpox310 power 12345 4 -> 2.3225E+16 Inexact Rounded -rpox311 power 12345 5 -> 2.8672E+20 Inexact Rounded -rpox312 power 415 2 -> 1.7222E+5 Inexact Rounded -rpox313 power 75 3 -> 4.2188E+5 Inexact Rounded - -rounding: half_up -rpox401 power 12345 -5 -> 3.4877E-21 Inexact Rounded -rpox402 power 12345 -4 -> 4.3056E-17 Inexact Rounded -rpox403 power 12345 -3 -> 5.3153E-13 Inexact Rounded -rpox404 power 12345 -2 -> 6.5617E-9 Inexact Rounded -rpox405 power 12345 -1 -> 0.000081004 Inexact Rounded -rpox406 power 12345 0 -> 1 -rpox407 power 12345 1 -> 12345 -rpox408 power 12345 2 -> 1.5240E+8 Inexact Rounded -rpox409 power 12345 3 -> 1.8814E+12 Inexact Rounded -rpox410 power 12345 4 -> 2.3225E+16 Inexact Rounded -rpox411 power 12345 5 -> 2.8672E+20 Inexact Rounded -rpox412 power 415 2 -> 1.7223E+5 Inexact Rounded -rpox413 power 75 3 -> 4.2188E+5 Inexact Rounded - -rounding: up -rpox501 power 12345 -5 -> 3.4878E-21 Inexact Rounded -rpox502 power 12345 -4 -> 4.3057E-17 Inexact Rounded -rpox503 power 12345 -3 -> 5.3153E-13 Inexact Rounded -rpox504 power 12345 -2 -> 6.5618E-9 Inexact Rounded -rpox505 power 12345 -1 -> 0.000081005 Inexact Rounded -rpox506 power 12345 0 -> 1 -rpox507 power 12345 1 -> 12345 -rpox508 power 12345 2 -> 1.5240E+8 Inexact Rounded -rpox509 power 12345 3 -> 1.8814E+12 Inexact Rounded -rpox510 power 12345 4 -> 2.3226E+16 Inexact Rounded -rpox511 power 12345 5 -> 2.8672E+20 Inexact Rounded -rpox512 power 415 2 -> 1.7223E+5 Inexact Rounded -rpox513 power 75 3 -> 4.2188E+5 Inexact Rounded - -rounding: floor -rpox601 power 12345 -5 -> 3.4877E-21 Inexact Rounded -rpox602 power 12345 -4 -> 4.3056E-17 Inexact Rounded -rpox603 power 12345 -3 -> 5.3152E-13 Inexact Rounded -rpox604 power 12345 -2 -> 6.5617E-9 Inexact Rounded -rpox605 power 12345 -1 -> 0.000081004 Inexact Rounded -rpox606 power 12345 0 -> 1 -rpox607 power 12345 1 -> 12345 -rpox608 power 12345 2 -> 1.5239E+8 Inexact Rounded -rpox609 power 12345 3 -> 1.8813E+12 Inexact Rounded -rpox610 power 12345 4 -> 2.3225E+16 Inexact Rounded -rpox611 power 12345 5 -> 2.8671E+20 Inexact Rounded -rpox612 power 415 2 -> 1.7222E+5 Inexact Rounded -rpox613 power 75 3 -> 4.2187E+5 Inexact Rounded - -rounding: ceiling -rpox701 power 12345 -5 -> 3.4878E-21 Inexact Rounded -rpox702 power 12345 -4 -> 4.3057E-17 Inexact Rounded -rpox703 power 12345 -3 -> 5.3153E-13 Inexact Rounded -rpox704 power 12345 -2 -> 6.5618E-9 Inexact Rounded -rpox705 power 12345 -1 -> 0.000081005 Inexact Rounded -rpox706 power 12345 0 -> 1 -rpox707 power 12345 1 -> 12345 -rpox708 power 12345 2 -> 1.5240E+8 Inexact Rounded -rpox709 power 12345 3 -> 1.8814E+12 Inexact Rounded -rpox710 power 12345 4 -> 2.3226E+16 Inexact Rounded -rpox711 power 12345 5 -> 2.8672E+20 Inexact Rounded -rpox712 power 415 2 -> 1.7223E+5 Inexact Rounded -rpox713 power 75 3 -> 4.2188E+5 Inexact Rounded - --- Underflow Subnormal and overflow values vary with rounding mode and sign -maxexponent: 999999999 -minexponent: -999999999 -rounding: down -rovx100 multiply 10 9E+999999999 -> 9.9999E+999999999 Overflow Inexact Rounded -rovx101 multiply -10 9E+999999999 -> -9.9999E+999999999 Overflow Inexact Rounded -rovx102 divide 1E-9 9E+999999999 -> 0E-1000000003 Underflow Subnormal Inexact Rounded Clamped -rovx104 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded Clamped - -rounding: up -rovx110 multiply 10 9E+999999999 -> Infinity Overflow Inexact Rounded -rovx111 multiply -10 9E+999999999 -> -Infinity Overflow Inexact Rounded -rovx112 divide 1E-9 9E+999999999 -> 1E-1000000003 Underflow Subnormal Inexact Rounded -rovx114 divide -1E-9 9E+999999999 -> -1E-1000000003 Underflow Subnormal Inexact Rounded - -rounding: ceiling -rovx120 multiply 10 9E+999999999 -> Infinity Overflow Inexact Rounded -rovx121 multiply -10 9E+999999999 -> -9.9999E+999999999 Overflow Inexact Rounded -rovx122 divide 1E-9 9E+999999999 -> 1E-1000000003 Underflow Subnormal Inexact Rounded -rovx124 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded Clamped - -rounding: floor -rovx130 multiply 10 9E+999999999 -> 9.9999E+999999999 Overflow Inexact Rounded -rovx131 multiply -10 9E+999999999 -> -Infinity Overflow Inexact Rounded -rovx132 divide 1E-9 9E+999999999 -> 0E-1000000003 Underflow Subnormal Inexact Rounded Clamped -rovx134 divide -1E-9 9E+999999999 -> -1E-1000000003 Underflow Subnormal Inexact Rounded - -rounding: half_up -rovx140 multiply 10 9E+999999999 -> Infinity Overflow Inexact Rounded -rovx141 multiply -10 9E+999999999 -> -Infinity Overflow Inexact Rounded -rovx142 divide 1E-9 9E+999999999 -> 0E-1000000003 Underflow Subnormal Inexact Rounded Clamped -rovx144 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded Clamped - -rounding: half_even -rovx150 multiply 10 9E+999999999 -> Infinity Overflow Inexact Rounded -rovx151 multiply -10 9E+999999999 -> -Infinity Overflow Inexact Rounded -rovx152 divide 1E-9 9E+999999999 -> 0E-1000000003 Underflow Subnormal Inexact Rounded Clamped -rovx154 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded Clamped - -rounding: half_down -rovx160 multiply 10 9E+999999999 -> Infinity Overflow Inexact Rounded -rovx161 multiply -10 9E+999999999 -> -Infinity Overflow Inexact Rounded -rovx162 divide 1E-9 9E+999999999 -> 0E-1000000003 Underflow Subnormal Inexact Rounded Clamped -rovx164 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded Clamped - --- check maximum finite value over a range of precisions -rounding: down -precision: 1 -rovx200 multiply 10 9E+999999999 -> 9E+999999999 Overflow Inexact Rounded -rovx201 multiply -10 9E+999999999 -> -9E+999999999 Overflow Inexact Rounded -precision: 2 -rovx210 multiply 10 9E+999999999 -> 9.9E+999999999 Overflow Inexact Rounded -rovx211 multiply -10 9E+999999999 -> -9.9E+999999999 Overflow Inexact Rounded -precision: 3 -rovx220 multiply 10 9E+999999999 -> 9.99E+999999999 Overflow Inexact Rounded -rovx221 multiply -10 9E+999999999 -> -9.99E+999999999 Overflow Inexact Rounded -precision: 4 -rovx230 multiply 10 9E+999999999 -> 9.999E+999999999 Overflow Inexact Rounded -rovx231 multiply -10 9E+999999999 -> -9.999E+999999999 Overflow Inexact Rounded -precision: 5 -rovx240 multiply 10 9E+999999999 -> 9.9999E+999999999 Overflow Inexact Rounded -rovx241 multiply -10 9E+999999999 -> -9.9999E+999999999 Overflow Inexact Rounded -precision: 6 -rovx250 multiply 10 9E+999999999 -> 9.99999E+999999999 Overflow Inexact Rounded -rovx251 multiply -10 9E+999999999 -> -9.99999E+999999999 Overflow Inexact Rounded -precision: 7 -rovx260 multiply 10 9E+999999999 -> 9.999999E+999999999 Overflow Inexact Rounded -rovx261 multiply -10 9E+999999999 -> -9.999999E+999999999 Overflow Inexact Rounded -precision: 8 -rovx270 multiply 10 9E+999999999 -> 9.9999999E+999999999 Overflow Inexact Rounded -rovx271 multiply -10 9E+999999999 -> -9.9999999E+999999999 Overflow Inexact Rounded -precision: 9 -rovx280 multiply 10 9E+999999999 -> 9.99999999E+999999999 Overflow Inexact Rounded -rovx281 multiply -10 9E+999999999 -> -9.99999999E+999999999 Overflow Inexact Rounded -precision: 10 -rovx290 multiply 10 9E+999999999 -> 9.999999999E+999999999 Overflow Inexact Rounded -rovx291 multiply -10 9E+999999999 -> -9.999999999E+999999999 Overflow Inexact Rounded - --- reprise rounding mode effect (using multiplies so precision directive used) -precision: 9 -maxexponent: 999999999 -rounding: half_up -rmex400 multiply -9.999E+999999999 10 -> -Infinity Overflow Inexact Rounded -rmex401 multiply 9.999E+999999999 10 -> Infinity Overflow Inexact Rounded -rounding: half_down -rmex402 multiply -9.999E+999999999 10 -> -Infinity Overflow Inexact Rounded -rmex403 multiply 9.999E+999999999 10 -> Infinity Overflow Inexact Rounded -rounding: half_even -rmex404 multiply -9.999E+999999999 10 -> -Infinity Overflow Inexact Rounded -rmex405 multiply 9.999E+999999999 10 -> Infinity Overflow Inexact Rounded -rounding: floor -rmex406 multiply -9.999E+999999999 10 -> -Infinity Overflow Inexact Rounded -rmex407 multiply 9.999E+999999999 10 -> 9.99999999E+999999999 Overflow Inexact Rounded -rounding: ceiling -rmex408 multiply -9.999E+999999999 10 -> -9.99999999E+999999999 Overflow Inexact Rounded -rmex409 multiply 9.999E+999999999 10 -> Infinity Overflow Inexact Rounded -rounding: up -rmex410 multiply -9.999E+999999999 10 -> -Infinity Overflow Inexact Rounded -rmex411 multiply 9.999E+999999999 10 -> Infinity Overflow Inexact Rounded -rounding: down -rmex412 multiply -9.999E+999999999 10 -> -9.99999999E+999999999 Overflow Inexact Rounded -rmex413 multiply 9.999E+999999999 10 -> 9.99999999E+999999999 Overflow Inexact Rounded - ------ Round-for-reround ----- -rounding: 05up -precision: 5 -- for easier visual inspection -maxExponent: 999 -minexponent: -999 - --- basic rounding; really is just 0 and 5 up -r05up001 add 12340 0.001 -> 12341 Inexact Rounded -r05up002 add 12341 0.001 -> 12341 Inexact Rounded -r05up003 add 12342 0.001 -> 12342 Inexact Rounded -r05up004 add 12343 0.001 -> 12343 Inexact Rounded -r05up005 add 12344 0.001 -> 12344 Inexact Rounded -r05up006 add 12345 0.001 -> 12346 Inexact Rounded -r05up007 add 12346 0.001 -> 12346 Inexact Rounded -r05up008 add 12347 0.001 -> 12347 Inexact Rounded -r05up009 add 12348 0.001 -> 12348 Inexact Rounded -r05up010 add 12349 0.001 -> 12349 Inexact Rounded - -r05up011 add 12340 0.000 -> 12340 Rounded -r05up012 add 12341 0.000 -> 12341 Rounded -r05up013 add 12342 0.000 -> 12342 Rounded -r05up014 add 12343 0.000 -> 12343 Rounded -r05up015 add 12344 0.000 -> 12344 Rounded -r05up016 add 12345 0.000 -> 12345 Rounded -r05up017 add 12346 0.000 -> 12346 Rounded -r05up018 add 12347 0.000 -> 12347 Rounded -r05up019 add 12348 0.000 -> 12348 Rounded -r05up020 add 12349 0.000 -> 12349 Rounded - -r05up021 add 12340 0.901 -> 12341 Inexact Rounded -r05up022 add 12341 0.901 -> 12341 Inexact Rounded -r05up023 add 12342 0.901 -> 12342 Inexact Rounded -r05up024 add 12343 0.901 -> 12343 Inexact Rounded -r05up025 add 12344 0.901 -> 12344 Inexact Rounded -r05up026 add 12345 0.901 -> 12346 Inexact Rounded -r05up027 add 12346 0.901 -> 12346 Inexact Rounded -r05up028 add 12347 0.901 -> 12347 Inexact Rounded -r05up029 add 12348 0.901 -> 12348 Inexact Rounded -r05up030 add 12349 0.901 -> 12349 Inexact Rounded - -r05up031 add -12340 -0.001 -> -12341 Inexact Rounded -r05up032 add -12341 -0.001 -> -12341 Inexact Rounded -r05up033 add -12342 -0.001 -> -12342 Inexact Rounded -r05up034 add -12343 -0.001 -> -12343 Inexact Rounded -r05up035 add -12344 -0.001 -> -12344 Inexact Rounded -r05up036 add -12345 -0.001 -> -12346 Inexact Rounded -r05up037 add -12346 -0.001 -> -12346 Inexact Rounded -r05up038 add -12347 -0.001 -> -12347 Inexact Rounded -r05up039 add -12348 -0.001 -> -12348 Inexact Rounded -r05up040 add -12349 -0.001 -> -12349 Inexact Rounded - -r05up041 add -12340 0.001 -> -12339 Inexact Rounded -r05up042 add -12341 0.001 -> -12341 Inexact Rounded -r05up043 add -12342 0.001 -> -12341 Inexact Rounded -r05up044 add -12343 0.001 -> -12342 Inexact Rounded -r05up045 add -12344 0.001 -> -12343 Inexact Rounded -r05up046 add -12345 0.001 -> -12344 Inexact Rounded -r05up047 add -12346 0.001 -> -12346 Inexact Rounded -r05up048 add -12347 0.001 -> -12346 Inexact Rounded -r05up049 add -12348 0.001 -> -12347 Inexact Rounded -r05up050 add -12349 0.001 -> -12348 Inexact Rounded - --- Addition operators ------------------------------------------------- --- [The first few of these check negative residue possibilities; these --- cases may be implemented as a negative residue in fastpaths] - -r0adx100 add 12345 -0.1 -> 12344 Inexact Rounded -r0adx101 add 12345 -0.01 -> 12344 Inexact Rounded -r0adx102 add 12345 -0.001 -> 12344 Inexact Rounded -r0adx103 add 12345 -0.00001 -> 12344 Inexact Rounded -r0adx104 add 12345 -0.000001 -> 12344 Inexact Rounded -r0adx105 add 12345 -0.0000001 -> 12344 Inexact Rounded -r0adx106 add 12345 0 -> 12345 -r0adx107 add 12345 0.0000001 -> 12346 Inexact Rounded -r0adx108 add 12345 0.000001 -> 12346 Inexact Rounded -r0adx109 add 12345 0.00001 -> 12346 Inexact Rounded -r0adx110 add 12345 0.0001 -> 12346 Inexact Rounded -r0adx111 add 12345 0.001 -> 12346 Inexact Rounded -r0adx112 add 12345 0.01 -> 12346 Inexact Rounded -r0adx113 add 12345 0.1 -> 12346 Inexact Rounded - -r0adx115 add 12346 0.49999 -> 12346 Inexact Rounded -r0adx116 add 12346 0.5 -> 12346 Inexact Rounded -r0adx117 add 12346 0.50001 -> 12346 Inexact Rounded - -r0adx120 add 12345 0.4 -> 12346 Inexact Rounded -r0adx121 add 12345 0.49 -> 12346 Inexact Rounded -r0adx122 add 12345 0.499 -> 12346 Inexact Rounded -r0adx123 add 12345 0.49999 -> 12346 Inexact Rounded -r0adx124 add 12345 0.5 -> 12346 Inexact Rounded -r0adx125 add 12345 0.50001 -> 12346 Inexact Rounded -r0adx126 add 12345 0.5001 -> 12346 Inexact Rounded -r0adx127 add 12345 0.501 -> 12346 Inexact Rounded -r0adx128 add 12345 0.51 -> 12346 Inexact Rounded -r0adx129 add 12345 0.6 -> 12346 Inexact Rounded - --- negatives... - -r0sux100 add -12345 -0.1 -> -12346 Inexact Rounded -r0sux101 add -12345 -0.01 -> -12346 Inexact Rounded -r0sux102 add -12345 -0.001 -> -12346 Inexact Rounded -r0sux103 add -12345 -0.00001 -> -12346 Inexact Rounded -r0sux104 add -12345 -0.000001 -> -12346 Inexact Rounded -r0sux105 add -12345 -0.0000001 -> -12346 Inexact Rounded -r0sux106 add -12345 0 -> -12345 -r0sux107 add -12345 0.0000001 -> -12344 Inexact Rounded -r0sux108 add -12345 0.000001 -> -12344 Inexact Rounded -r0sux109 add -12345 0.00001 -> -12344 Inexact Rounded -r0sux110 add -12345 0.0001 -> -12344 Inexact Rounded -r0sux111 add -12345 0.001 -> -12344 Inexact Rounded -r0sux112 add -12345 0.01 -> -12344 Inexact Rounded -r0sux113 add -12345 0.1 -> -12344 Inexact Rounded - -r0sux115 add -12346 0.49999 -> -12346 Inexact Rounded -r0sux116 add -12346 0.5 -> -12346 Inexact Rounded -r0sux117 add -12346 0.50001 -> -12346 Inexact Rounded - -r0sux120 add -12345 0.4 -> -12344 Inexact Rounded -r0sux121 add -12345 0.49 -> -12344 Inexact Rounded -r0sux122 add -12345 0.499 -> -12344 Inexact Rounded -r0sux123 add -12345 0.49999 -> -12344 Inexact Rounded -r0sux124 add -12345 0.5 -> -12344 Inexact Rounded -r0sux125 add -12345 0.50001 -> -12344 Inexact Rounded -r0sux126 add -12345 0.5001 -> -12344 Inexact Rounded -r0sux127 add -12345 0.501 -> -12344 Inexact Rounded -r0sux128 add -12345 0.51 -> -12344 Inexact Rounded -r0sux129 add -12345 0.6 -> -12344 Inexact Rounded - --- Check cancellation subtractions --- (The IEEE 854 'curious rule' in $6.3) - -r0zex001 add 0 0 -> 0 -r0zex002 add 0 -0 -> 0 -r0zex003 add -0 0 -> 0 -r0zex004 add -0 -0 -> -0 -r0zex005 add 1 -1 -> 0 -r0zex006 add -1 1 -> 0 -r0zex007 add 1.5 -1.5 -> 0.0 -r0zex008 add -1.5 1.5 -> 0.0 -r0zex009 add 2 -2 -> 0 -r0zex010 add -2 2 -> 0 - - --- Division operators ------------------------------------------------- - -r0dvx101 divide 12345 1 -> 12345 -r0dvx102 divide 12345 1.0001 -> 12343 Inexact Rounded -r0dvx103 divide 12345 1.001 -> 12332 Inexact Rounded -r0dvx104 divide 12345 1.01 -> 12222 Inexact Rounded -r0dvx105 divide 12345 1.1 -> 11222 Inexact Rounded -r0dvx106 divide 12355 4 -> 3088.7 Inexact Rounded -r0dvx107 divide 12345 4 -> 3086.2 Inexact Rounded -r0dvx108 divide 12355 4.0001 -> 3088.6 Inexact Rounded -r0dvx109 divide 12345 4.0001 -> 3086.1 Inexact Rounded -r0dvx110 divide 12345 4.9 -> 2519.3 Inexact Rounded -r0dvx111 divide 12345 4.99 -> 2473.9 Inexact Rounded -r0dvx112 divide 12345 4.999 -> 2469.4 Inexact Rounded -r0dvx113 divide 12345 4.9999 -> 2469.1 Inexact Rounded -r0dvx114 divide 12345 5 -> 2469 -r0dvx115 divide 12345 5.0001 -> 2468.9 Inexact Rounded -r0dvx116 divide 12345 5.001 -> 2468.6 Inexact Rounded -r0dvx117 divide 12345 5.01 -> 2464.1 Inexact Rounded -r0dvx118 divide 12345 5.1 -> 2420.6 Inexact Rounded - --- [divideInteger and remainder unaffected] - --- Multiplication operator -------------------------------------------- - -r0mux101 multiply 12345 1 -> 12345 -r0mux102 multiply 12345 1.0001 -> 12346 Inexact Rounded -r0mux103 multiply 12345 1.001 -> 12357 Inexact Rounded -r0mux104 multiply 12345 1.01 -> 12468 Inexact Rounded -r0mux105 multiply 12345 1.1 -> 13579 Inexact Rounded -r0mux106 multiply 12345 4 -> 49380 -r0mux107 multiply 12345 4.0001 -> 49381 Inexact Rounded -r0mux108 multiply 12345 4.9 -> 60491 Inexact Rounded -r0mux109 multiply 12345 4.99 -> 61601 Inexact Rounded -r0mux110 multiply 12345 4.999 -> 61712 Inexact Rounded -r0mux111 multiply 12345 4.9999 -> 61723 Inexact Rounded -r0mux112 multiply 12345 5 -> 61725 -r0mux113 multiply 12345 5.0001 -> 61726 Inexact Rounded -r0mux114 multiply 12345 5.001 -> 61737 Inexact Rounded -r0mux115 multiply 12345 5.01 -> 61848 Inexact Rounded -r0mux116 multiply 12345 12 -> 1.4814E+5 Rounded -r0mux117 multiply 12345 13 -> 1.6048E+5 Inexact Rounded -r0mux118 multiply 12355 12 -> 1.4826E+5 Rounded -r0mux119 multiply 12355 13 -> 1.6061E+5 Inexact Rounded - - --- Power operator ----------------------------------------------------- - -r0pox101 power 12345 -5 -> 3.4877E-21 Inexact Rounded -r0pox102 power 12345 -4 -> 4.3056E-17 Inexact Rounded -r0pox103 power 12345 -3 -> 5.3152E-13 Inexact Rounded -r0pox104 power 12345 -2 -> 6.5617E-9 Inexact Rounded -r0pox105 power 12345 -1 -> 0.000081004 Inexact Rounded -r0pox106 power 12345 0 -> 1 -r0pox107 power 12345 1 -> 12345 -r0pox108 power 12345 2 -> 1.5239E+8 Inexact Rounded -r0pox109 power 12345 3 -> 1.8813E+12 Inexact Rounded -r0pox110 power 12345 4 -> 2.3226E+16 Inexact Rounded -r0pox111 power 12345 5 -> 2.8671E+20 Inexact Rounded -r0pox112 power 415 2 -> 1.7222E+5 Inexact Rounded -r0pox113 power 75 3 -> 4.2187E+5 Inexact Rounded - - --- Underflow Subnormal and overflow values vary with rounding mode and sign -maxexponent: 999999999 -minexponent: -999999999 --- [round down gives Nmax on first two and .0E... on the next two] -r0ovx100 multiply 10 9E+999999999 -> 9.9999E+999999999 Overflow Inexact Rounded -r0ovx101 multiply -10 9E+999999999 -> -9.9999E+999999999 Overflow Inexact Rounded -r0ovx102 divide 1E-9 9E+999999999 -> 1E-1000000003 Underflow Subnormal Inexact Rounded -r0ovx104 divide -1E-9 9E+999999999 -> -1E-1000000003 Underflow Subnormal Inexact Rounded - --- reprise rounding mode effect (using multiplies so precision directive used) -precision: 9 -maxexponent: 999999999 -r0mex412 multiply -9.999E+999999999 10 -> -9.99999999E+999999999 Overflow Inexact Rounded -r0mex413 multiply 9.999E+999999999 10 -> 9.99999999E+999999999 Overflow Inexact Rounded - |