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✏️ Editing: rescale.decTest

------------------------------------------------------------------------
-- rescale.decTest -- decimal rescale operation                       --
-- 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

-- [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

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