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------------------------------------------------------------------------
-- rescale.decTest -- decimal rescale operation --
-- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.57
-- [obsolete] Quantize.decTest has the improved version
-- 2004.03.15 Underflow for quantize is suppressed
extended: 1
precision: 9
rounding: half_up
maxExponent: 999
minexponent: -999
-- sanity checks
resx001 rescale 0 0 -> 0
resx002 rescale 1 0 -> 1
resx003 rescale 0.1 +2 -> 0E+2 Inexact Rounded
resx005 rescale 0.1 +1 -> 0E+1 Inexact Rounded
resx006 rescale 0.1 0 -> 0 Inexact Rounded
resx007 rescale 0.1 -1 -> 0.1
resx008 rescale 0.1 -2 -> 0.10
resx009 rescale 0.1 -3 -> 0.100
resx010 rescale 0.9 +2 -> 0E+2 Inexact Rounded
resx011 rescale 0.9 +1 -> 0E+1 Inexact Rounded
resx012 rescale 0.9 +0 -> 1 Inexact Rounded
resx013 rescale 0.9 -1 -> 0.9
resx014 rescale 0.9 -2 -> 0.90
resx015 rescale 0.9 -3 -> 0.900
-- negatives
resx021 rescale -0 0 -> -0
resx022 rescale -1 0 -> -1
resx023 rescale -0.1 +2 -> -0E+2 Inexact Rounded
resx025 rescale -0.1 +1 -> -0E+1 Inexact Rounded
resx026 rescale -0.1 0 -> -0 Inexact Rounded
resx027 rescale -0.1 -1 -> -0.1
resx028 rescale -0.1 -2 -> -0.10
resx029 rescale -0.1 -3 -> -0.100
resx030 rescale -0.9 +2 -> -0E+2 Inexact Rounded
resx031 rescale -0.9 +1 -> -0E+1 Inexact Rounded
resx032 rescale -0.9 +0 -> -1 Inexact Rounded
resx033 rescale -0.9 -1 -> -0.9
resx034 rescale -0.9 -2 -> -0.90
resx035 rescale -0.9 -3 -> -0.900
resx036 rescale -0.5 +2 -> -0E+2 Inexact Rounded
resx037 rescale -0.5 +1 -> -0E+1 Inexact Rounded
resx038 rescale -0.5 +0 -> -1 Inexact Rounded
resx039 rescale -0.5 -1 -> -0.5
resx040 rescale -0.5 -2 -> -0.50
resx041 rescale -0.5 -3 -> -0.500
resx042 rescale -0.9 +2 -> -0E+2 Inexact Rounded
resx043 rescale -0.9 +1 -> -0E+1 Inexact Rounded
resx044 rescale -0.9 +0 -> -1 Inexact Rounded
resx045 rescale -0.9 -1 -> -0.9
resx046 rescale -0.9 -2 -> -0.90
resx047 rescale -0.9 -3 -> -0.900
-- examples from Specification
resx060 rescale 2.17 -3 -> 2.170
resx061 rescale 2.17 -2 -> 2.17
resx062 rescale 2.17 -1 -> 2.2 Inexact Rounded
resx063 rescale 2.17 0 -> 2 Inexact Rounded
resx064 rescale 2.17 +1 -> 0E+1 Inexact Rounded
resx065 rescale 2 Inf -> NaN Invalid_operation
resx066 rescale -0.1 0 -> -0 Inexact Rounded
resx067 rescale -0 5 -> -0E+5
resx068 rescale +35236450.6 -2 -> NaN Invalid_operation
resx069 rescale -35236450.6 -2 -> NaN Invalid_operation
resx070 rescale 217 -1 -> 217.0
resx071 rescale 217 0 -> 217
resx072 rescale 217 +1 -> 2.2E+2 Inexact Rounded
resx073 rescale 217 +2 -> 2E+2 Inexact Rounded
-- general tests ..
resx089 rescale 12 +4 -> 0E+4 Inexact Rounded
resx090 rescale 12 +3 -> 0E+3 Inexact Rounded
resx091 rescale 12 +2 -> 0E+2 Inexact Rounded
resx092 rescale 12 +1 -> 1E+1 Inexact Rounded
resx093 rescale 1.2345 -2 -> 1.23 Inexact Rounded
resx094 rescale 1.2355 -2 -> 1.24 Inexact Rounded
resx095 rescale 1.2345 -6 -> 1.234500
resx096 rescale 9.9999 -2 -> 10.00 Inexact Rounded
resx097 rescale 0.0001 -2 -> 0.00 Inexact Rounded
resx098 rescale 0.001 -2 -> 0.00 Inexact Rounded
resx099 rescale 0.009 -2 -> 0.01 Inexact Rounded
resx100 rescale 92 +2 -> 1E+2 Inexact Rounded
resx101 rescale -1 0 -> -1
resx102 rescale -1 -1 -> -1.0
resx103 rescale -1 -2 -> -1.00
resx104 rescale 0 0 -> 0
resx105 rescale 0 -1 -> 0.0
resx106 rescale 0 -2 -> 0.00
resx107 rescale 0.00 0 -> 0
resx108 rescale 0 +1 -> 0E+1
resx109 rescale 0 +2 -> 0E+2
resx110 rescale +1 0 -> 1
resx111 rescale +1 -1 -> 1.0
resx112 rescale +1 -2 -> 1.00
resx120 rescale 1.04 -3 -> 1.040
resx121 rescale 1.04 -2 -> 1.04
resx122 rescale 1.04 -1 -> 1.0 Inexact Rounded
resx123 rescale 1.04 0 -> 1 Inexact Rounded
resx124 rescale 1.05 -3 -> 1.050
resx125 rescale 1.05 -2 -> 1.05
resx126 rescale 1.05 -1 -> 1.1 Inexact Rounded
resx127 rescale 1.05 0 -> 1 Inexact Rounded
resx128 rescale 1.05 -3 -> 1.050
resx129 rescale 1.05 -2 -> 1.05
resx130 rescale 1.05 -1 -> 1.1 Inexact Rounded
resx131 rescale 1.05 0 -> 1 Inexact Rounded
resx132 rescale 1.06 -3 -> 1.060
resx133 rescale 1.06 -2 -> 1.06
resx134 rescale 1.06 -1 -> 1.1 Inexact Rounded
resx135 rescale 1.06 0 -> 1 Inexact Rounded
resx140 rescale -10 -2 -> -10.00
resx141 rescale +1 -2 -> 1.00
resx142 rescale +10 -2 -> 10.00
resx143 rescale 1E+10 -2 -> NaN Invalid_operation
resx144 rescale 1E-10 -2 -> 0.00 Inexact Rounded
resx145 rescale 1E-3 -2 -> 0.00 Inexact Rounded
resx146 rescale 1E-2 -2 -> 0.01
resx147 rescale 1E-1 -2 -> 0.10
resx148 rescale 0E-10 -2 -> 0.00
resx150 rescale 1.0600 -5 -> 1.06000
resx151 rescale 1.0600 -4 -> 1.0600
resx152 rescale 1.0600 -3 -> 1.060 Rounded
resx153 rescale 1.0600 -2 -> 1.06 Rounded
resx154 rescale 1.0600 -1 -> 1.1 Inexact Rounded
resx155 rescale 1.0600 0 -> 1 Inexact Rounded
-- +ve exponents ..
resx201 rescale -1 +0 -> -1
resx202 rescale -1 +1 -> -0E+1 Inexact Rounded
resx203 rescale -1 +2 -> -0E+2 Inexact Rounded
resx204 rescale 0 +0 -> 0
resx205 rescale 0 +1 -> 0E+1
resx206 rescale 0 +2 -> 0E+2
resx207 rescale +1 +0 -> 1
resx208 rescale +1 +1 -> 0E+1 Inexact Rounded
resx209 rescale +1 +2 -> 0E+2 Inexact Rounded
resx220 rescale 1.04 +3 -> 0E+3 Inexact Rounded
resx221 rescale 1.04 +2 -> 0E+2 Inexact Rounded
resx222 rescale 1.04 +1 -> 0E+1 Inexact Rounded
resx223 rescale 1.04 +0 -> 1 Inexact Rounded
resx224 rescale 1.05 +3 -> 0E+3 Inexact Rounded
resx225 rescale 1.05 +2 -> 0E+2 Inexact Rounded
resx226 rescale 1.05 +1 -> 0E+1 Inexact Rounded
resx227 rescale 1.05 +0 -> 1 Inexact Rounded
resx228 rescale 1.05 +3 -> 0E+3 Inexact Rounded
resx229 rescale 1.05 +2 -> 0E+2 Inexact Rounded
resx230 rescale 1.05 +1 -> 0E+1 Inexact Rounded
resx231 rescale 1.05 +0 -> 1 Inexact Rounded
resx232 rescale 1.06 +3 -> 0E+3 Inexact Rounded
resx233 rescale 1.06 +2 -> 0E+2 Inexact Rounded
resx234 rescale 1.06 +1 -> 0E+1 Inexact Rounded
resx235 rescale 1.06 +0 -> 1 Inexact Rounded
resx240 rescale -10 +1 -> -1E+1 Rounded
resx241 rescale +1 +1 -> 0E+1 Inexact Rounded
resx242 rescale +10 +1 -> 1E+1 Rounded
resx243 rescale 1E+1 +1 -> 1E+1 -- underneath this is E+1
resx244 rescale 1E+2 +1 -> 1.0E+2 -- underneath this is E+1
resx245 rescale 1E+3 +1 -> 1.00E+3 -- underneath this is E+1
resx246 rescale 1E+4 +1 -> 1.000E+4 -- underneath this is E+1
resx247 rescale 1E+5 +1 -> 1.0000E+5 -- underneath this is E+1
resx248 rescale 1E+6 +1 -> 1.00000E+6 -- underneath this is E+1
resx249 rescale 1E+7 +1 -> 1.000000E+7 -- underneath this is E+1
resx250 rescale 1E+8 +1 -> 1.0000000E+8 -- underneath this is E+1
resx251 rescale 1E+9 +1 -> 1.00000000E+9 -- underneath this is E+1
-- next one tries to add 9 zeros
resx252 rescale 1E+10 +1 -> NaN Invalid_operation
resx253 rescale 1E-10 +1 -> 0E+1 Inexact Rounded
resx254 rescale 1E-2 +1 -> 0E+1 Inexact Rounded
resx255 rescale 0E-10 +1 -> 0E+1
resx256 rescale -0E-10 +1 -> -0E+1
resx257 rescale -0E-1 +1 -> -0E+1
resx258 rescale -0 +1 -> -0E+1
resx259 rescale -0E+1 +1 -> -0E+1
resx260 rescale -10 +2 -> -0E+2 Inexact Rounded
resx261 rescale +1 +2 -> 0E+2 Inexact Rounded
resx262 rescale +10 +2 -> 0E+2 Inexact Rounded
resx263 rescale 1E+1 +2 -> 0E+2 Inexact Rounded
resx264 rescale 1E+2 +2 -> 1E+2
resx265 rescale 1E+3 +2 -> 1.0E+3
resx266 rescale 1E+4 +2 -> 1.00E+4
resx267 rescale 1E+5 +2 -> 1.000E+5
resx268 rescale 1E+6 +2 -> 1.0000E+6
resx269 rescale 1E+7 +2 -> 1.00000E+7
resx270 rescale 1E+8 +2 -> 1.000000E+8
resx271 rescale 1E+9 +2 -> 1.0000000E+9
resx272 rescale 1E+10 +2 -> 1.00000000E+10
resx273 rescale 1E-10 +2 -> 0E+2 Inexact Rounded
resx274 rescale 1E-2 +2 -> 0E+2 Inexact Rounded
resx275 rescale 0E-10 +2 -> 0E+2
resx280 rescale -10 +3 -> -0E+3 Inexact Rounded
resx281 rescale +1 +3 -> 0E+3 Inexact Rounded
resx282 rescale +10 +3 -> 0E+3 Inexact Rounded
resx283 rescale 1E+1 +3 -> 0E+3 Inexact Rounded
resx284 rescale 1E+2 +3 -> 0E+3 Inexact Rounded
resx285 rescale 1E+3 +3 -> 1E+3
resx286 rescale 1E+4 +3 -> 1.0E+4
resx287 rescale 1E+5 +3 -> 1.00E+5
resx288 rescale 1E+6 +3 -> 1.000E+6
resx289 rescale 1E+7 +3 -> 1.0000E+7
resx290 rescale 1E+8 +3 -> 1.00000E+8
resx291 rescale 1E+9 +3 -> 1.000000E+9
resx292 rescale 1E+10 +3 -> 1.0000000E+10
resx293 rescale 1E-10 +3 -> 0E+3 Inexact Rounded
resx294 rescale 1E-2 +3 -> 0E+3 Inexact Rounded
resx295 rescale 0E-10 +3 -> 0E+3
-- round up from below [sign wrong in JIT compiler once]
resx300 rescale 0.0078 -5 -> 0.00780
resx301 rescale 0.0078 -4 -> 0.0078
resx302 rescale 0.0078 -3 -> 0.008 Inexact Rounded
resx303 rescale 0.0078 -2 -> 0.01 Inexact Rounded
resx304 rescale 0.0078 -1 -> 0.0 Inexact Rounded
resx305 rescale 0.0078 0 -> 0 Inexact Rounded
resx306 rescale 0.0078 +1 -> 0E+1 Inexact Rounded
resx307 rescale 0.0078 +2 -> 0E+2 Inexact Rounded
resx310 rescale -0.0078 -5 -> -0.00780
resx311 rescale -0.0078 -4 -> -0.0078
resx312 rescale -0.0078 -3 -> -0.008 Inexact Rounded
resx313 rescale -0.0078 -2 -> -0.01 Inexact Rounded
resx314 rescale -0.0078 -1 -> -0.0 Inexact Rounded
resx315 rescale -0.0078 0 -> -0 Inexact Rounded
resx316 rescale -0.0078 +1 -> -0E+1 Inexact Rounded
resx317 rescale -0.0078 +2 -> -0E+2 Inexact Rounded
resx320 rescale 0.078 -5 -> 0.07800
resx321 rescale 0.078 -4 -> 0.0780
resx322 rescale 0.078 -3 -> 0.078
resx323 rescale 0.078 -2 -> 0.08 Inexact Rounded
resx324 rescale 0.078 -1 -> 0.1 Inexact Rounded
resx325 rescale 0.078 0 -> 0 Inexact Rounded
resx326 rescale 0.078 +1 -> 0E+1 Inexact Rounded
resx327 rescale 0.078 +2 -> 0E+2 Inexact Rounded
resx330 rescale -0.078 -5 -> -0.07800
resx331 rescale -0.078 -4 -> -0.0780
resx332 rescale -0.078 -3 -> -0.078
resx333 rescale -0.078 -2 -> -0.08 Inexact Rounded
resx334 rescale -0.078 -1 -> -0.1 Inexact Rounded
resx335 rescale -0.078 0 -> -0 Inexact Rounded
resx336 rescale -0.078 +1 -> -0E+1 Inexact Rounded
resx337 rescale -0.078 +2 -> -0E+2 Inexact Rounded
resx340 rescale 0.78 -5 -> 0.78000
resx341 rescale 0.78 -4 -> 0.7800
resx342 rescale 0.78 -3 -> 0.780
resx343 rescale 0.78 -2 -> 0.78
resx344 rescale 0.78 -1 -> 0.8 Inexact Rounded
resx345 rescale 0.78 0 -> 1 Inexact Rounded
resx346 rescale 0.78 +1 -> 0E+1 Inexact Rounded
resx347 rescale 0.78 +2 -> 0E+2 Inexact Rounded
resx350 rescale -0.78 -5 -> -0.78000
resx351 rescale -0.78 -4 -> -0.7800
resx352 rescale -0.78 -3 -> -0.780
resx353 rescale -0.78 -2 -> -0.78
resx354 rescale -0.78 -1 -> -0.8 Inexact Rounded
resx355 rescale -0.78 0 -> -1 Inexact Rounded
resx356 rescale -0.78 +1 -> -0E+1 Inexact Rounded
resx357 rescale -0.78 +2 -> -0E+2 Inexact Rounded
resx360 rescale 7.8 -5 -> 7.80000
resx361 rescale 7.8 -4 -> 7.8000
resx362 rescale 7.8 -3 -> 7.800
resx363 rescale 7.8 -2 -> 7.80
resx364 rescale 7.8 -1 -> 7.8
resx365 rescale 7.8 0 -> 8 Inexact Rounded
resx366 rescale 7.8 +1 -> 1E+1 Inexact Rounded
resx367 rescale 7.8 +2 -> 0E+2 Inexact Rounded
resx368 rescale 7.8 +3 -> 0E+3 Inexact Rounded
resx370 rescale -7.8 -5 -> -7.80000
resx371 rescale -7.8 -4 -> -7.8000
resx372 rescale -7.8 -3 -> -7.800
resx373 rescale -7.8 -2 -> -7.80
resx374 rescale -7.8 -1 -> -7.8
resx375 rescale -7.8 0 -> -8 Inexact Rounded
resx376 rescale -7.8 +1 -> -1E+1 Inexact Rounded
resx377 rescale -7.8 +2 -> -0E+2 Inexact Rounded
resx378 rescale -7.8 +3 -> -0E+3 Inexact Rounded
-- some individuals
precision: 9
resx380 rescale 352364.506 -2 -> 352364.51 Inexact Rounded
resx381 rescale 3523645.06 -2 -> 3523645.06
resx382 rescale 35236450.6 -2 -> NaN Invalid_operation
resx383 rescale 352364506 -2 -> NaN Invalid_operation
resx384 rescale -352364.506 -2 -> -352364.51 Inexact Rounded
resx385 rescale -3523645.06 -2 -> -3523645.06
resx386 rescale -35236450.6 -2 -> NaN Invalid_operation
resx387 rescale -352364506 -2 -> NaN Invalid_operation
rounding: down
resx389 rescale 35236450.6 -2 -> NaN Invalid_operation
-- ? should that one instead have been:
-- resx389 rescale 35236450.6 -2 -> NaN Invalid_operation
rounding: half_up
-- and a few more from e-mail discussions
precision: 7
resx391 rescale 12.34567 -3 -> 12.346 Inexact Rounded
resx392 rescale 123.4567 -3 -> 123.457 Inexact Rounded
resx393 rescale 1234.567 -3 -> 1234.567
resx394 rescale 12345.67 -3 -> NaN Invalid_operation
resx395 rescale 123456.7 -3 -> NaN Invalid_operation
resx396 rescale 1234567. -3 -> NaN Invalid_operation
-- some 9999 round-up cases
precision: 9
resx400 rescale 9.999 -5 -> 9.99900
resx401 rescale 9.999 -4 -> 9.9990
resx402 rescale 9.999 -3 -> 9.999
resx403 rescale 9.999 -2 -> 10.00 Inexact Rounded
resx404 rescale 9.999 -1 -> 10.0 Inexact Rounded
resx405 rescale 9.999 0 -> 10 Inexact Rounded
resx406 rescale 9.999 1 -> 1E+1 Inexact Rounded
resx407 rescale 9.999 2 -> 0E+2 Inexact Rounded
resx410 rescale 0.999 -5 -> 0.99900
resx411 rescale 0.999 -4 -> 0.9990
resx412 rescale 0.999 -3 -> 0.999
resx413 rescale 0.999 -2 -> 1.00 Inexact Rounded
resx414 rescale 0.999 -1 -> 1.0 Inexact Rounded
resx415 rescale 0.999 0 -> 1 Inexact Rounded
resx416 rescale 0.999 1 -> 0E+1 Inexact Rounded
resx420 rescale 0.0999 -5 -> 0.09990
resx421 rescale 0.0999 -4 -> 0.0999
resx422 rescale 0.0999 -3 -> 0.100 Inexact Rounded
resx423 rescale 0.0999 -2 -> 0.10 Inexact Rounded
resx424 rescale 0.0999 -1 -> 0.1 Inexact Rounded
resx425 rescale 0.0999 0 -> 0 Inexact Rounded
resx426 rescale 0.0999 1 -> 0E+1 Inexact Rounded
resx430 rescale 0.00999 -5 -> 0.00999
resx431 rescale 0.00999 -4 -> 0.0100 Inexact Rounded
resx432 rescale 0.00999 -3 -> 0.010 Inexact Rounded
resx433 rescale 0.00999 -2 -> 0.01 Inexact Rounded
resx434 rescale 0.00999 -1 -> 0.0 Inexact Rounded
resx435 rescale 0.00999 0 -> 0 Inexact Rounded
resx436 rescale 0.00999 1 -> 0E+1 Inexact Rounded
resx440 rescale 0.000999 -5 -> 0.00100 Inexact Rounded
resx441 rescale 0.000999 -4 -> 0.0010 Inexact Rounded
resx442 rescale 0.000999 -3 -> 0.001 Inexact Rounded
resx443 rescale 0.000999 -2 -> 0.00 Inexact Rounded
resx444 rescale 0.000999 -1 -> 0.0 Inexact Rounded
resx445 rescale 0.000999 0 -> 0 Inexact Rounded
resx446 rescale 0.000999 1 -> 0E+1 Inexact Rounded
precision: 8
resx449 rescale 9.999E-15 -23 -> NaN Invalid_operation
resx450 rescale 9.999E-15 -22 -> 9.9990000E-15
resx451 rescale 9.999E-15 -21 -> 9.999000E-15
resx452 rescale 9.999E-15 -20 -> 9.99900E-15
resx453 rescale 9.999E-15 -19 -> 9.9990E-15
resx454 rescale 9.999E-15 -18 -> 9.999E-15
resx455 rescale 9.999E-15 -17 -> 1.000E-14 Inexact Rounded
resx456 rescale 9.999E-15 -16 -> 1.00E-14 Inexact Rounded
resx457 rescale 9.999E-15 -15 -> 1.0E-14 Inexact Rounded
resx458 rescale 9.999E-15 -14 -> 1E-14 Inexact Rounded
resx459 rescale 9.999E-15 -13 -> 0E-13 Inexact Rounded
resx460 rescale 9.999E-15 -12 -> 0E-12 Inexact Rounded
resx461 rescale 9.999E-15 -11 -> 0E-11 Inexact Rounded
resx462 rescale 9.999E-15 -10 -> 0E-10 Inexact Rounded
resx463 rescale 9.999E-15 -9 -> 0E-9 Inexact Rounded
resx464 rescale 9.999E-15 -8 -> 0E-8 Inexact Rounded
resx465 rescale 9.999E-15 -7 -> 0E-7 Inexact Rounded
resx466 rescale 9.999E-15 -6 -> 0.000000 Inexact Rounded
resx467 rescale 9.999E-15 -5 -> 0.00000 Inexact Rounded
resx468 rescale 9.999E-15 -4 -> 0.0000 Inexact Rounded
resx469 rescale 9.999E-15 -3 -> 0.000 Inexact Rounded
resx470 rescale 9.999E-15 -2 -> 0.00 Inexact Rounded
resx471 rescale 9.999E-15 -1 -> 0.0 Inexact Rounded
resx472 rescale 9.999E-15 0 -> 0 Inexact Rounded
resx473 rescale 9.999E-15 1 -> 0E+1 Inexact Rounded
-- [additional tests for "don't fit" edge cases are in
-- quantize.decTest. Here's a critical one.]
precision: 3
resx480 rescale 0.9999 -3 -> NaN Invalid_operation
-- long operand checks [rhs checks removed]
maxexponent: 999
minexponent: -999
precision: 9
resx481 rescale 12345678000 +3 -> 1.2345678E+10 Rounded
resx482 rescale 1234567800 +1 -> 1.23456780E+9 Rounded
resx483 rescale 1234567890 +1 -> 1.23456789E+9 Rounded
resx484 rescale 1234567891 +1 -> 1.23456789E+9 Inexact Rounded
resx485 rescale 12345678901 +2 -> 1.23456789E+10 Inexact Rounded
resx486 rescale 1234567896 +1 -> 1.23456790E+9 Inexact Rounded
-- a potential double-round
resx487 rescale 1234.987643 -4 -> 1234.9876 Inexact Rounded
resx488 rescale 1234.987647 -4 -> 1234.9876 Inexact Rounded
precision: 15
resx491 rescale 12345678000 +3 -> 1.2345678E+10 Rounded
resx492 rescale 1234567800 +1 -> 1.23456780E+9 Rounded
resx493 rescale 1234567890 +1 -> 1.23456789E+9 Rounded
resx494 rescale 1234567891 +1 -> 1.23456789E+9 Inexact Rounded
resx495 rescale 12345678901 +2 -> 1.23456789E+10 Inexact Rounded
resx496 rescale 1234567896 +1 -> 1.23456790E+9 Inexact Rounded
resx497 rescale 1234.987643 -4 -> 1234.9876 Inexact Rounded
resx498 rescale 1234.987647 -4 -> 1234.9876 Inexact Rounded
-- Zeros
resx500 rescale 0 1 -> 0E+1
resx501 rescale 0 0 -> 0
resx502 rescale 0 -1 -> 0.0
resx503 rescale 0.0 -1 -> 0.0
resx504 rescale 0.0 0 -> 0
resx505 rescale 0.0 +1 -> 0E+1
resx506 rescale 0E+1 -1 -> 0.0
resx507 rescale 0E+1 0 -> 0
resx508 rescale 0E+1 +1 -> 0E+1
resx509 rescale -0 1 -> -0E+1
resx510 rescale -0 0 -> -0
resx511 rescale -0 -1 -> -0.0
resx512 rescale -0.0 -1 -> -0.0
resx513 rescale -0.0 0 -> -0
resx514 rescale -0.0 +1 -> -0E+1
resx515 rescale -0E+1 -1 -> -0.0
resx516 rescale -0E+1 0 -> -0
resx517 rescale -0E+1 +1 -> -0E+1
-- Suspicious RHS values
maxexponent: 999999999
minexponent: -999999999
precision: 15
resx520 rescale 1.234 999999E+3 -> 0E+999999000 Inexact Rounded
resx521 rescale 123.456 999999E+3 -> 0E+999999000 Inexact Rounded
resx522 rescale 1.234 999999999 -> 0E+999999999 Inexact Rounded
resx523 rescale 123.456 999999999 -> 0E+999999999 Inexact Rounded
resx524 rescale 123.456 1000000000 -> NaN Invalid_operation
resx525 rescale 123.456 12345678903 -> NaN Invalid_operation
-- next four are "won't fit" overflows
resx526 rescale 1.234 -999999E+3 -> NaN Invalid_operation
resx527 rescale 123.456 -999999E+3 -> NaN Invalid_operation
resx528 rescale 1.234 -999999999 -> NaN Invalid_operation
resx529 rescale 123.456 -999999999 -> NaN Invalid_operation
resx530 rescale 123.456 -1000000014 -> NaN Invalid_operation
resx531 rescale 123.456 -12345678903 -> NaN Invalid_operation
maxexponent: 999
minexponent: -999
precision: 15
resx532 rescale 1.234E+999 999 -> 1E+999 Inexact Rounded
resx533 rescale 1.234E+998 999 -> 0E+999 Inexact Rounded
resx534 rescale 1.234 999 -> 0E+999 Inexact Rounded
resx535 rescale 1.234 1000 -> NaN Invalid_operation
resx536 rescale 1.234 5000 -> NaN Invalid_operation
resx537 rescale 0 -999 -> 0E-999
-- next two are "won't fit" overflows
resx538 rescale 1.234 -999 -> NaN Invalid_operation
resx539 rescale 1.234 -1000 -> NaN Invalid_operation
resx540 rescale 1.234 -5000 -> NaN Invalid_operation
-- [more below]
-- check bounds (lhs maybe out of range for destination, etc.)
precision: 7
resx541 rescale 1E+999 +999 -> 1E+999
resx542 rescale 1E+1000 +999 -> NaN Invalid_operation
resx543 rescale 1E+999 +1000 -> NaN Invalid_operation
resx544 rescale 1E-999 -999 -> 1E-999
resx545 rescale 1E-1000 -999 -> 0E-999 Inexact Rounded
resx546 rescale 1E-999 -1000 -> 1.0E-999
resx547 rescale 1E-1005 -999 -> 0E-999 Inexact Rounded
resx548 rescale 1E-1006 -999 -> 0E-999 Inexact Rounded
resx549 rescale 1E-1007 -999 -> 0E-999 Inexact Rounded
resx550 rescale 1E-998 -1005 -> NaN Invalid_operation -- won't fit
resx551 rescale 1E-999 -1005 -> 1.000000E-999
resx552 rescale 1E-1000 -1005 -> 1.00000E-1000 Subnormal
resx553 rescale 1E-999 -1006 -> NaN Invalid_operation
resx554 rescale 1E-999 -1007 -> NaN Invalid_operation
-- related subnormal rounding
resx555 rescale 1.666666E-999 -1005 -> 1.666666E-999
resx556 rescale 1.666666E-1000 -1005 -> 1.66667E-1000 Subnormal Inexact Rounded
resx557 rescale 1.666666E-1001 -1005 -> 1.6667E-1001 Subnormal Inexact Rounded
resx558 rescale 1.666666E-1002 -1005 -> 1.667E-1002 Subnormal Inexact Rounded
resx559 rescale 1.666666E-1003 -1005 -> 1.67E-1003 Subnormal Inexact Rounded
resx560 rescale 1.666666E-1004 -1005 -> 1.7E-1004 Subnormal Inexact Rounded
resx561 rescale 1.666666E-1005 -1005 -> 2E-1005 Subnormal Inexact Rounded
resx562 rescale 1.666666E-1006 -1005 -> 0E-1005 Inexact Rounded
resx563 rescale 1.666666E-1007 -1005 -> 0E-1005 Inexact Rounded
-- fractional RHS, some good and some bad
precision: 9
resx564 rescale 222 +2.0 -> 2E+2 Inexact Rounded
resx565 rescale 222 +2.00000000 -> 2E+2 Inexact Rounded
resx566 rescale 222 +2.00100000000 -> NaN Invalid_operation
resx567 rescale 222 +2.000001 -> NaN Invalid_operation
resx568 rescale 222 +2.000000001 -> NaN Invalid_operation
resx569 rescale 222 +2.0000000001 -> NaN Invalid_operation
resx570 rescale 222 +2.00000000001 -> NaN Invalid_operation
resx571 rescale 222 +2.99999999999 -> NaN Invalid_operation
resx572 rescale 222 -2.00000000 -> 222.00
resx573 rescale 222 -2.00100000000 -> NaN Invalid_operation
resx574 rescale 222 -2.0000001000 -> NaN Invalid_operation
resx575 rescale 222 -2.00000000001 -> NaN Invalid_operation
resx576 rescale 222 -2.99999999999 -> NaN Invalid_operation
-- Specials
resx580 rescale Inf -Inf -> Infinity
resx581 rescale Inf -1000 -> NaN Invalid_operation
resx582 rescale Inf -1 -> NaN Invalid_operation
resx583 rescale Inf 0 -> NaN Invalid_operation
resx584 rescale Inf 1 -> NaN Invalid_operation
resx585 rescale Inf 1000 -> NaN Invalid_operation
resx586 rescale Inf Inf -> Infinity
resx587 rescale -1000 Inf -> NaN Invalid_operation
resx588 rescale -Inf Inf -> -Infinity
resx589 rescale -1 Inf -> NaN Invalid_operation
resx590 rescale 0 Inf -> NaN Invalid_operation
resx591 rescale 1 Inf -> NaN Invalid_operation
resx592 rescale 1000 Inf -> NaN Invalid_operation
resx593 rescale Inf Inf -> Infinity
resx594 rescale Inf -0 -> NaN Invalid_operation
resx595 rescale -0 Inf -> NaN Invalid_operation
resx600 rescale -Inf -Inf -> -Infinity
resx601 rescale -Inf -1000 -> NaN Invalid_operation
resx602 rescale -Inf -1 -> NaN Invalid_operation
resx603 rescale -Inf 0 -> NaN Invalid_operation
resx604 rescale -Inf 1 -> NaN Invalid_operation
resx605 rescale -Inf 1000 -> NaN Invalid_operation
resx606 rescale -Inf Inf -> -Infinity
resx607 rescale -1000 Inf -> NaN Invalid_operation
resx608 rescale -Inf -Inf -> -Infinity
resx609 rescale -1 -Inf -> NaN Invalid_operation
resx610 rescale 0 -Inf -> NaN Invalid_operation
resx611 rescale 1 -Inf -> NaN Invalid_operation
resx612 rescale 1000 -Inf -> NaN Invalid_operation
resx613 rescale Inf -Inf -> Infinity
resx614 rescale -Inf -0 -> NaN Invalid_operation
resx615 rescale -0 -Inf -> NaN Invalid_operation
resx621 rescale NaN -Inf -> NaN
resx622 rescale NaN -1000 -> NaN
resx623 rescale NaN -1 -> NaN
resx624 rescale NaN 0 -> NaN
resx625 rescale NaN 1 -> NaN
resx626 rescale NaN 1000 -> NaN
resx627 rescale NaN Inf -> NaN
resx628 rescale NaN NaN -> NaN
resx629 rescale -Inf NaN -> NaN
resx630 rescale -1000 NaN -> NaN
resx631 rescale -1 NaN -> NaN
resx632 rescale 0 NaN -> NaN
resx633 rescale 1 -NaN -> -NaN
resx634 rescale 1000 NaN -> NaN
resx635 rescale Inf NaN -> NaN
resx636 rescale NaN -0 -> NaN
resx637 rescale -0 NaN -> NaN
resx641 rescale sNaN -Inf -> NaN Invalid_operation
resx642 rescale sNaN -1000 -> NaN Invalid_operation
resx643 rescale sNaN -1 -> NaN Invalid_operation
resx644 rescale sNaN 0 -> NaN Invalid_operation
resx645 rescale sNaN 1 -> NaN Invalid_operation
resx646 rescale sNaN 1000 -> NaN Invalid_operation
resx647 rescale -sNaN NaN -> -NaN Invalid_operation
resx648 rescale sNaN -sNaN -> NaN Invalid_operation
resx649 rescale NaN sNaN -> NaN Invalid_operation
resx650 rescale -Inf sNaN -> NaN Invalid_operation
resx651 rescale -1000 sNaN -> NaN Invalid_operation
resx652 rescale -1 sNaN -> NaN Invalid_operation
resx653 rescale 0 sNaN -> NaN Invalid_operation
resx654 rescale 1 -sNaN -> -NaN Invalid_operation
resx655 rescale 1000 sNaN -> NaN Invalid_operation
resx656 rescale Inf sNaN -> NaN Invalid_operation
resx657 rescale NaN sNaN -> NaN Invalid_operation
resx658 rescale sNaN -0 -> NaN Invalid_operation
resx659 rescale -0 sNaN -> NaN Invalid_operation
-- propagating NaNs
resx661 rescale NaN9 -Inf -> NaN9
resx662 rescale NaN81 919 -> NaN81
resx663 rescale NaN72 Inf -> NaN72
resx664 rescale -NaN66 NaN5 -> -NaN66
resx665 rescale -Inf NaN4 -> NaN4
resx666 rescale -919 NaN32 -> NaN32
resx667 rescale Inf NaN2 -> NaN2
resx671 rescale sNaN99 -Inf -> NaN99 Invalid_operation
resx672 rescale -sNaN98 -11 -> -NaN98 Invalid_operation
resx673 rescale sNaN97 NaN -> NaN97 Invalid_operation
resx674 rescale sNaN16 sNaN94 -> NaN16 Invalid_operation
resx675 rescale NaN95 sNaN93 -> NaN93 Invalid_operation
resx676 rescale -Inf sNaN92 -> NaN92 Invalid_operation
resx677 rescale 088 -sNaN91 -> -NaN91 Invalid_operation
resx678 rescale Inf -sNaN90 -> -NaN90 Invalid_operation
resx679 rescale NaN sNaN87 -> NaN87 Invalid_operation
-- subnormals and underflow
precision: 4
maxexponent: 999
minexponent: -999
resx710 rescale 1.00E-999 -999 -> 1E-999 Rounded
resx711 rescale 0.1E-999 -1000 -> 1E-1000 Subnormal
resx712 rescale 0.10E-999 -1000 -> 1E-1000 Subnormal Rounded
resx713 rescale 0.100E-999 -1000 -> 1E-1000 Subnormal Rounded
resx714 rescale 0.01E-999 -1001 -> 1E-1001 Subnormal
-- next is rounded to Emin
resx715 rescale 0.999E-999 -999 -> 1E-999 Inexact Rounded
resx716 rescale 0.099E-999 -1000 -> 1E-1000 Inexact Rounded Subnormal
resx717 rescale 0.009E-999 -1001 -> 1E-1001 Inexact Rounded Subnormal
resx718 rescale 0.001E-999 -1001 -> 0E-1001 Inexact Rounded
resx719 rescale 0.0009E-999 -1001 -> 0E-1001 Inexact Rounded
resx720 rescale 0.0001E-999 -1001 -> 0E-1001 Inexact Rounded
resx730 rescale -1.00E-999 -999 -> -1E-999 Rounded
resx731 rescale -0.1E-999 -999 -> -0E-999 Rounded Inexact
resx732 rescale -0.10E-999 -999 -> -0E-999 Rounded Inexact
resx733 rescale -0.100E-999 -999 -> -0E-999 Rounded Inexact
resx734 rescale -0.01E-999 -999 -> -0E-999 Inexact Rounded
-- next is rounded to Emin
resx735 rescale -0.999E-999 -999 -> -1E-999 Inexact Rounded
resx736 rescale -0.099E-999 -999 -> -0E-999 Inexact Rounded
resx737 rescale -0.009E-999 -999 -> -0E-999 Inexact Rounded
resx738 rescale -0.001E-999 -999 -> -0E-999 Inexact Rounded
resx739 rescale -0.0001E-999 -999 -> -0E-999 Inexact Rounded
resx740 rescale -1.00E-999 -1000 -> -1.0E-999 Rounded
resx741 rescale -0.1E-999 -1000 -> -1E-1000 Subnormal
resx742 rescale -0.10E-999 -1000 -> -1E-1000 Subnormal Rounded
resx743 rescale -0.100E-999 -1000 -> -1E-1000 Subnormal Rounded
resx744 rescale -0.01E-999 -1000 -> -0E-1000 Inexact Rounded
-- next is rounded to Emin
resx745 rescale -0.999E-999 -1000 -> -1.0E-999 Inexact Rounded
resx746 rescale -0.099E-999 -1000 -> -1E-1000 Inexact Rounded Subnormal
resx747 rescale -0.009E-999 -1000 -> -0E-1000 Inexact Rounded
resx748 rescale -0.001E-999 -1000 -> -0E-1000 Inexact Rounded
resx749 rescale -0.0001E-999 -1000 -> -0E-1000 Inexact Rounded
resx750 rescale -1.00E-999 -1001 -> -1.00E-999
resx751 rescale -0.1E-999 -1001 -> -1.0E-1000 Subnormal
resx752 rescale -0.10E-999 -1001 -> -1.0E-1000 Subnormal
resx753 rescale -0.100E-999 -1001 -> -1.0E-1000 Subnormal Rounded
resx754 rescale -0.01E-999 -1001 -> -1E-1001 Subnormal
-- next is rounded to Emin
resx755 rescale -0.999E-999 -1001 -> -1.00E-999 Inexact Rounded
resx756 rescale -0.099E-999 -1001 -> -1.0E-1000 Inexact Rounded Subnormal
resx757 rescale -0.009E-999 -1001 -> -1E-1001 Inexact Rounded Subnormal
resx758 rescale -0.001E-999 -1001 -> -0E-1001 Inexact Rounded
resx759 rescale -0.0001E-999 -1001 -> -0E-1001 Inexact Rounded
resx760 rescale -1.00E-999 -1002 -> -1.000E-999
resx761 rescale -0.1E-999 -1002 -> -1.00E-1000 Subnormal
resx762 rescale -0.10E-999 -1002 -> -1.00E-1000 Subnormal
resx763 rescale -0.100E-999 -1002 -> -1.00E-1000 Subnormal
resx764 rescale -0.01E-999 -1002 -> -1.0E-1001 Subnormal
resx765 rescale -0.999E-999 -1002 -> -9.99E-1000 Subnormal
resx766 rescale -0.099E-999 -1002 -> -9.9E-1001 Subnormal
resx767 rescale -0.009E-999 -1002 -> -9E-1002 Subnormal
resx768 rescale -0.001E-999 -1002 -> -1E-1002 Subnormal
resx769 rescale -0.0001E-999 -1002 -> -0E-1002 Inexact Rounded
-- rhs must be no less than Etiny
resx770 rescale -1.00E-999 -1003 -> NaN Invalid_operation
resx771 rescale -0.1E-999 -1003 -> NaN Invalid_operation
resx772 rescale -0.10E-999 -1003 -> NaN Invalid_operation
resx773 rescale -0.100E-999 -1003 -> NaN Invalid_operation
resx774 rescale -0.01E-999 -1003 -> NaN Invalid_operation
resx775 rescale -0.999E-999 -1003 -> NaN Invalid_operation
resx776 rescale -0.099E-999 -1003 -> NaN Invalid_operation
resx777 rescale -0.009E-999 -1003 -> NaN Invalid_operation
resx778 rescale -0.001E-999 -1003 -> NaN Invalid_operation
resx779 rescale -0.0001E-999 -1003 -> NaN Invalid_operation
precision: 9
maxExponent: 999999999
minexponent: -999999999
-- getInt worries
resx801 rescale 0 1000000000 -> NaN Invalid_operation
resx802 rescale 0 -1000000000 -> 0E-1000000000
resx803 rescale 0 2000000000 -> NaN Invalid_operation
resx804 rescale 0 -2000000000 -> NaN Invalid_operation
resx805 rescale 0 3000000000 -> NaN Invalid_operation
resx806 rescale 0 -3000000000 -> NaN Invalid_operation
resx807 rescale 0 4000000000 -> NaN Invalid_operation
resx808 rescale 0 -4000000000 -> NaN Invalid_operation
resx809 rescale 0 5000000000 -> NaN Invalid_operation
resx810 rescale 0 -5000000000 -> NaN Invalid_operation
resx811 rescale 0 6000000000 -> NaN Invalid_operation
resx812 rescale 0 -6000000000 -> NaN Invalid_operation
resx813 rescale 0 7000000000 -> NaN Invalid_operation
resx814 rescale 0 -7000000000 -> NaN Invalid_operation
resx815 rescale 0 8000000000 -> NaN Invalid_operation
resx816 rescale 0 -8000000000 -> NaN Invalid_operation
resx817 rescale 0 9000000000 -> NaN Invalid_operation
resx818 rescale 0 -9000000000 -> NaN Invalid_operation
resx819 rescale 0 9999999999 -> NaN Invalid_operation
resx820 rescale 0 -9999999999 -> NaN Invalid_operation
resx821 rescale 0 10000000000 -> NaN Invalid_operation
resx822 rescale 0 -10000000000 -> NaN Invalid_operation
resx831 rescale 1 0E-1 -> 1
resx832 rescale 1 0E-2 -> 1
resx833 rescale 1 0E-3 -> 1
resx834 rescale 1 0E-4 -> 1
resx835 rescale 1 0E-100 -> 1
resx836 rescale 1 0E-100000 -> 1
resx837 rescale 1 0E+100 -> 1
resx838 rescale 1 0E+100000 -> 1
resx841 rescale 0 5E-1000000 -> NaN Invalid_operation
resx842 rescale 0 5E-1000000 -> NaN Invalid_operation
resx843 rescale 0 999999999 -> 0E+999999999
resx844 rescale 0 1000000000 -> NaN Invalid_operation
resx845 rescale 0 -999999999 -> 0E-999999999
resx846 rescale 0 -1000000000 -> 0E-1000000000
resx847 rescale 0 -1000000001 -> 0E-1000000001
resx848 rescale 0 -1000000002 -> 0E-1000000002
resx849 rescale 0 -1000000003 -> 0E-1000000003
resx850 rescale 0 -1000000004 -> 0E-1000000004
resx851 rescale 0 -1000000005 -> 0E-1000000005
resx852 rescale 0 -1000000006 -> 0E-1000000006
resx853 rescale 0 -1000000007 -> 0E-1000000007
resx854 rescale 0 -1000000008 -> NaN Invalid_operation
resx861 rescale 1 +2147483649 -> NaN Invalid_operation
resx862 rescale 1 +2147483648 -> NaN Invalid_operation
resx863 rescale 1 +2147483647 -> NaN Invalid_operation
resx864 rescale 1 -2147483647 -> NaN Invalid_operation
resx865 rescale 1 -2147483648 -> NaN Invalid_operation
resx866 rescale 1 -2147483649 -> NaN Invalid_operation
-- Null tests
res900 rescale 10 # -> NaN Invalid_operation
res901 rescale # 10 -> NaN Invalid_operation