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cpython/Lib/test/decimaltestdata/rounding.decTest

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Move Decimal from the sandbox into production.
2004-07-01 11:01:35 +00:00
------------------------------------------------------------------------
-- rounding.decTest -- decimal rounding modes testcases --
-- Copyright (c) IBM Corporation, 1981, 2003. All rights reserved. --
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases" --
-- at http://www2.hursley.ibm.com/decimal for the description of --
-- these testcases. --
-- --
-- These testcases are experimental ('beta' versions), and they --
-- may contain errors. They are offered on an as-is basis. In --
-- particular, achieving the same results as the tests here is not --
-- a guarantee that an implementation complies with any Standard --
-- or specification. The tests are not exhaustive. --
-- --
-- Please send comments, suggestions, and corrections to the author: --
-- Mike Cowlishaw, IBM Fellow --
-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
-- mfc@uk.ibm.com --
------------------------------------------------------------------------
Add two new files and update remaining tests from the latest update of the test suite in version 2.39 of dectest.zip.
2004-08-17 06:42:13 +00:00
version: 2.39
Move Decimal from the sandbox into production.
2004-07-01 11:01:35 +00:00
-- 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).]
--
-- 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
rovx104 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded
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
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
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
rovx144 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded
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
rovx154 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded
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
rovx164 divide -1E-9 9E+999999999 -> -0E-1000000003 Underflow Subnormal Inexact Rounded
-- 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
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