------------------------------------------------------------------------
-- quantize.decTest -- decimal quantize 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: 2.58

-- Most of the tests here assume a "regular pattern", where the
-- sign and coefficient are +1.
-- 2004.03.15 Underflow for quantize is suppressed
-- 2005.06.08 More extensive tests for 'does not fit'

extended:    1
precision:   9
rounding:    half_up
maxExponent: 999
minexponent: -999

-- sanity checks
quax001 quantize 0       1e0   -> 0
quax002 quantize 1       1e0   -> 1
quax003 quantize 0.1    1e+2   -> 0E+2 Inexact Rounded
quax005 quantize 0.1    1e+1   -> 0E+1 Inexact Rounded
quax006 quantize 0.1     1e0   -> 0 Inexact Rounded
quax007 quantize 0.1    1e-1   -> 0.1
quax008 quantize 0.1    1e-2   -> 0.10
quax009 quantize 0.1    1e-3   -> 0.100
quax010 quantize 0.9    1e+2   -> 0E+2 Inexact Rounded
quax011 quantize 0.9    1e+1   -> 0E+1 Inexact Rounded
quax012 quantize 0.9    1e+0   -> 1 Inexact Rounded
quax013 quantize 0.9    1e-1   -> 0.9
quax014 quantize 0.9    1e-2   -> 0.90
quax015 quantize 0.9    1e-3   -> 0.900
-- negatives
quax021 quantize -0      1e0   -> -0
quax022 quantize -1      1e0   -> -1
quax023 quantize -0.1   1e+2   -> -0E+2 Inexact Rounded
quax025 quantize -0.1   1e+1   -> -0E+1 Inexact Rounded
quax026 quantize -0.1    1e0   -> -0 Inexact Rounded
quax027 quantize -0.1   1e-1   -> -0.1
quax028 quantize -0.1   1e-2   -> -0.10
quax029 quantize -0.1   1e-3   -> -0.100
quax030 quantize -0.9   1e+2   -> -0E+2 Inexact Rounded
quax031 quantize -0.9   1e+1   -> -0E+1 Inexact Rounded
quax032 quantize -0.9   1e+0   -> -1 Inexact Rounded
quax033 quantize -0.9   1e-1   -> -0.9
quax034 quantize -0.9   1e-2   -> -0.90
quax035 quantize -0.9   1e-3   -> -0.900
quax036 quantize -0.5   1e+2   -> -0E+2 Inexact Rounded
quax037 quantize -0.5   1e+1   -> -0E+1 Inexact Rounded
quax038 quantize -0.5   1e+0   -> -1 Inexact Rounded
quax039 quantize -0.5   1e-1   -> -0.5
quax040 quantize -0.5   1e-2   -> -0.50
quax041 quantize -0.5   1e-3   -> -0.500
quax042 quantize -0.9   1e+2   -> -0E+2 Inexact Rounded
quax043 quantize -0.9   1e+1   -> -0E+1 Inexact Rounded
quax044 quantize -0.9   1e+0   -> -1 Inexact Rounded
quax045 quantize -0.9   1e-1   -> -0.9
quax046 quantize -0.9   1e-2   -> -0.90
quax047 quantize -0.9   1e-3   -> -0.900

-- examples from Specification
quax060 quantize 2.17   0.001  -> 2.170
quax061 quantize 2.17   0.01   -> 2.17
quax062 quantize 2.17   0.1    -> 2.2 Inexact Rounded
quax063 quantize 2.17   1e+0   -> 2 Inexact Rounded
quax064 quantize 2.17   1e+1   -> 0E+1 Inexact Rounded
quax065 quantize -Inf    Inf   -> -Infinity
quax066 quantize 2       Inf   -> NaN Invalid_operation
quax067 quantize -0.1    1     -> -0 Inexact Rounded
quax068 quantize -0      1e+5     -> -0E+5
quax069 quantize +35236450.6 1e-2 -> NaN Invalid_operation
quax070 quantize -35236450.6 1e-2 -> NaN Invalid_operation
quax071 quantize 217    1e-1   -> 217.0
quax072 quantize 217    1e+0   -> 217
quax073 quantize 217    1e+1   -> 2.2E+2 Inexact Rounded
quax074 quantize 217    1e+2   -> 2E+2 Inexact Rounded

-- general tests ..
quax089 quantize 12     1e+4   -> 0E+4 Inexact Rounded
quax090 quantize 12     1e+3   -> 0E+3 Inexact Rounded
quax091 quantize 12     1e+2   -> 0E+2 Inexact Rounded
quax092 quantize 12     1e+1   -> 1E+1 Inexact Rounded
quax093 quantize 1.2345 1e-2   -> 1.23 Inexact Rounded
quax094 quantize 1.2355 1e-2   -> 1.24 Inexact Rounded
quax095 quantize 1.2345 1e-6   -> 1.234500
quax096 quantize 9.9999 1e-2   -> 10.00 Inexact Rounded
quax097 quantize 0.0001 1e-2   -> 0.00 Inexact Rounded
quax098 quantize 0.001  1e-2   -> 0.00 Inexact Rounded
quax099 quantize 0.009  1e-2   -> 0.01 Inexact Rounded
quax100 quantize 92     1e+2   -> 1E+2 Inexact Rounded

quax101 quantize -1      1e0   ->  -1
quax102 quantize -1     1e-1   ->  -1.0
quax103 quantize -1     1e-2   ->  -1.00
quax104 quantize  0      1e0   ->  0
quax105 quantize  0     1e-1   ->  0.0
quax106 quantize  0     1e-2   ->  0.00
quax107 quantize  0.00   1e0   ->  0
quax108 quantize  0     1e+1   ->  0E+1
quax109 quantize  0     1e+2   ->  0E+2
quax110 quantize +1      1e0   ->  1
quax111 quantize +1     1e-1   ->  1.0
quax112 quantize +1     1e-2   ->  1.00

quax120 quantize   1.04  1e-3 ->  1.040
quax121 quantize   1.04  1e-2 ->  1.04
quax122 quantize   1.04  1e-1 ->  1.0 Inexact Rounded
quax123 quantize   1.04   1e0 ->  1 Inexact Rounded
quax124 quantize   1.05  1e-3 ->  1.050
quax125 quantize   1.05  1e-2 ->  1.05
quax126 quantize   1.05  1e-1 ->  1.1 Inexact Rounded
quax131 quantize   1.05   1e0 ->  1 Inexact Rounded
quax132 quantize   1.06  1e-3 ->  1.060
quax133 quantize   1.06  1e-2 ->  1.06
quax134 quantize   1.06  1e-1 ->  1.1 Inexact Rounded
quax135 quantize   1.06   1e0 ->  1 Inexact Rounded

quax140 quantize   -10    1e-2  ->  -10.00
quax141 quantize   +1     1e-2  ->  1.00
quax142 quantize   +10    1e-2  ->  10.00
quax143 quantize   1E+10  1e-2  ->  NaN Invalid_operation
quax144 quantize   1E-10  1e-2  ->  0.00 Inexact Rounded
quax145 quantize   1E-3   1e-2  ->  0.00 Inexact Rounded
quax146 quantize   1E-2   1e-2  ->  0.01
quax147 quantize   1E-1   1e-2  ->  0.10
quax148 quantize   0E-10  1e-2  ->  0.00

quax150 quantize   1.0600 1e-5 ->  1.06000
quax151 quantize   1.0600 1e-4 ->  1.0600
quax152 quantize   1.0600 1e-3 ->  1.060 Rounded
quax153 quantize   1.0600 1e-2 ->  1.06 Rounded
quax154 quantize   1.0600 1e-1 ->  1.1 Inexact Rounded
quax155 quantize   1.0600  1e0 ->  1 Inexact Rounded

-- base tests with non-1 coefficients
quax161 quantize 0      -9e0   -> 0
quax162 quantize 1      -7e0   -> 1
quax163 quantize 0.1   -1e+2   -> 0E+2 Inexact Rounded
quax165 quantize 0.1    0e+1   -> 0E+1 Inexact Rounded
quax166 quantize 0.1     2e0   -> 0 Inexact Rounded
quax167 quantize 0.1    3e-1   -> 0.1
quax168 quantize 0.1   44e-2   -> 0.10
quax169 quantize 0.1  555e-3   -> 0.100
quax170 quantize 0.9 6666e+2   -> 0E+2 Inexact Rounded
quax171 quantize 0.9 -777e+1   -> 0E+1 Inexact Rounded
quax172 quantize 0.9  -88e+0   -> 1 Inexact Rounded
quax173 quantize 0.9   -9e-1   -> 0.9
quax174 quantize 0.9    0e-2   -> 0.90
quax175 quantize 0.9  1.1e-3   -> 0.9000
-- negatives
quax181 quantize -0    1.1e0   -> -0.0
quax182 quantize -1     -1e0   -> -1
quax183 quantize -0.1  11e+2   -> -0E+2 Inexact Rounded
quax185 quantize -0.1 111e+1   -> -0E+1 Inexact Rounded
quax186 quantize -0.1   71e0   -> -0 Inexact Rounded
quax187 quantize -0.1 -91e-1   -> -0.1
quax188 quantize -0.1 -.1e-2   -> -0.100
quax189 quantize -0.1  -1e-3   -> -0.100
quax190 quantize -0.9   0e+2   -> -0E+2 Inexact Rounded
quax191 quantize -0.9  -0e+1   -> -0E+1 Inexact Rounded
quax192 quantize -0.9 -10e+0   -> -1 Inexact Rounded
quax193 quantize -0.9 100e-1   -> -0.9
quax194 quantize -0.9 999e-2   -> -0.90

-- +ve exponents ..
quax201 quantize   -1   1e+0 ->  -1
quax202 quantize   -1   1e+1 ->  -0E+1 Inexact Rounded
quax203 quantize   -1   1e+2 ->  -0E+2 Inexact Rounded
quax204 quantize    0   1e+0 ->  0
quax205 quantize    0   1e+1 ->  0E+1
quax206 quantize    0   1e+2 ->  0E+2
quax207 quantize   +1   1e+0 ->  1
quax208 quantize   +1   1e+1 ->  0E+1 Inexact Rounded
quax209 quantize   +1   1e+2 ->  0E+2 Inexact Rounded

quax220 quantize   1.04 1e+3 ->  0E+3 Inexact Rounded
quax221 quantize   1.04 1e+2 ->  0E+2 Inexact Rounded
quax222 quantize   1.04 1e+1 ->  0E+1 Inexact Rounded
quax223 quantize   1.04 1e+0 ->  1 Inexact Rounded
quax224 quantize   1.05 1e+3 ->  0E+3 Inexact Rounded
quax225 quantize   1.05 1e+2 ->  0E+2 Inexact Rounded
quax226 quantize   1.05 1e+1 ->  0E+1 Inexact Rounded
quax227 quantize   1.05 1e+0 ->  1 Inexact Rounded
quax228 quantize   1.05 1e+3 ->  0E+3 Inexact Rounded
quax229 quantize   1.05 1e+2 ->  0E+2 Inexact Rounded
quax230 quantize   1.05 1e+1 ->  0E+1 Inexact Rounded
quax231 quantize   1.05 1e+0 ->  1 Inexact Rounded
quax232 quantize   1.06 1e+3 ->  0E+3 Inexact Rounded
quax233 quantize   1.06 1e+2 ->  0E+2 Inexact Rounded
quax234 quantize   1.06 1e+1 ->  0E+1 Inexact Rounded
quax235 quantize   1.06 1e+0 ->  1 Inexact Rounded

quax240 quantize   -10   1e+1  ->  -1E+1 Rounded
quax241 quantize   +1    1e+1  ->  0E+1 Inexact Rounded
quax242 quantize   +10   1e+1  ->  1E+1 Rounded
quax243 quantize   1E+1  1e+1  ->  1E+1          -- underneath this is E+1
quax244 quantize   1E+2  1e+1  ->  1.0E+2        -- underneath this is E+1
quax245 quantize   1E+3  1e+1  ->  1.00E+3       -- underneath this is E+1
quax246 quantize   1E+4  1e+1  ->  1.000E+4      -- underneath this is E+1
quax247 quantize   1E+5  1e+1  ->  1.0000E+5     -- underneath this is E+1
quax248 quantize   1E+6  1e+1  ->  1.00000E+6    -- underneath this is E+1
quax249 quantize   1E+7  1e+1  ->  1.000000E+7   -- underneath this is E+1
quax250 quantize   1E+8  1e+1  ->  1.0000000E+8  -- underneath this is E+1
quax251 quantize   1E+9  1e+1  ->  1.00000000E+9 -- underneath this is E+1
-- next one tries to add 9 zeros
quax252 quantize   1E+10 1e+1  ->  NaN Invalid_operation
quax253 quantize   1E-10 1e+1  ->  0E+1 Inexact Rounded
quax254 quantize   1E-2  1e+1  ->  0E+1 Inexact Rounded
quax255 quantize   0E-10 1e+1  ->  0E+1
quax256 quantize  -0E-10 1e+1  -> -0E+1
quax257 quantize  -0E-1  1e+1  -> -0E+1
quax258 quantize  -0     1e+1  -> -0E+1
quax259 quantize  -0E+1  1e+1  -> -0E+1

quax260 quantize   -10   1e+2  ->  -0E+2 Inexact Rounded
quax261 quantize   +1    1e+2  ->  0E+2 Inexact Rounded
quax262 quantize   +10   1e+2  ->  0E+2 Inexact Rounded
quax263 quantize   1E+1  1e+2  ->  0E+2 Inexact Rounded
quax264 quantize   1E+2  1e+2  ->  1E+2
quax265 quantize   1E+3  1e+2  ->  1.0E+3
quax266 quantize   1E+4  1e+2  ->  1.00E+4
quax267 quantize   1E+5  1e+2  ->  1.000E+5
quax268 quantize   1E+6  1e+2  ->  1.0000E+6
quax269 quantize   1E+7  1e+2  ->  1.00000E+7
quax270 quantize   1E+8  1e+2  ->  1.000000E+8
quax271 quantize   1E+9  1e+2  ->  1.0000000E+9
quax272 quantize   1E+10 1e+2  ->  1.00000000E+10
quax273 quantize   1E-10 1e+2  ->  0E+2 Inexact Rounded
quax274 quantize   1E-2  1e+2  ->  0E+2 Inexact Rounded
quax275 quantize   0E-10 1e+2  ->  0E+2

quax280 quantize   -10   1e+3  ->  -0E+3 Inexact Rounded
quax281 quantize   +1    1e+3  ->  0E+3 Inexact Rounded
quax282 quantize   +10   1e+3  ->  0E+3 Inexact Rounded
quax283 quantize   1E+1  1e+3  ->  0E+3 Inexact Rounded
quax284 quantize   1E+2  1e+3  ->  0E+3 Inexact Rounded
quax285 quantize   1E+3  1e+3  ->  1E+3
quax286 quantize   1E+4  1e+3  ->  1.0E+4
quax287 quantize   1E+5  1e+3  ->  1.00E+5
quax288 quantize   1E+6  1e+3  ->  1.000E+6
quax289 quantize   1E+7  1e+3  ->  1.0000E+7
quax290 quantize   1E+8  1e+3  ->  1.00000E+8
quax291 quantize   1E+9  1e+3  ->  1.000000E+9
quax292 quantize   1E+10 1e+3  ->  1.0000000E+10
quax293 quantize   1E-10 1e+3  ->  0E+3 Inexact Rounded
quax294 quantize   1E-2  1e+3  ->  0E+3 Inexact Rounded
quax295 quantize   0E-10 1e+3  ->  0E+3

-- round up from below [sign wrong in JIT compiler once]
quax300 quantize   0.0078 1e-5 ->  0.00780
quax301 quantize   0.0078 1e-4 ->  0.0078
quax302 quantize   0.0078 1e-3 ->  0.008 Inexact Rounded
quax303 quantize   0.0078 1e-2 ->  0.01 Inexact Rounded
quax304 quantize   0.0078 1e-1 ->  0.0 Inexact Rounded
quax305 quantize   0.0078  1e0 ->  0 Inexact Rounded
quax306 quantize   0.0078 1e+1 ->  0E+1 Inexact Rounded
quax307 quantize   0.0078 1e+2 ->  0E+2 Inexact Rounded

quax310 quantize  -0.0078 1e-5 -> -0.00780
quax311 quantize  -0.0078 1e-4 -> -0.0078
quax312 quantize  -0.0078 1e-3 -> -0.008 Inexact Rounded
quax313 quantize  -0.0078 1e-2 -> -0.01 Inexact Rounded
quax314 quantize  -0.0078 1e-1 -> -0.0 Inexact Rounded
quax315 quantize  -0.0078  1e0 -> -0 Inexact Rounded
quax316 quantize  -0.0078 1e+1 -> -0E+1 Inexact Rounded
quax317 quantize  -0.0078 1e+2 -> -0E+2 Inexact Rounded

quax320 quantize   0.078 1e-5 ->  0.07800
quax321 quantize   0.078 1e-4 ->  0.0780
quax322 quantize   0.078 1e-3 ->  0.078
quax323 quantize   0.078 1e-2 ->  0.08 Inexact Rounded
quax324 quantize   0.078 1e-1 ->  0.1 Inexact Rounded
quax325 quantize   0.078  1e0 ->  0 Inexact Rounded
quax326 quantize   0.078 1e+1 ->  0E+1 Inexact Rounded
quax327 quantize   0.078 1e+2 ->  0E+2 Inexact Rounded

quax330 quantize  -0.078 1e-5 -> -0.07800
quax331 quantize  -0.078 1e-4 -> -0.0780
quax332 quantize  -0.078 1e-3 -> -0.078
quax333 quantize  -0.078 1e-2 -> -0.08 Inexact Rounded
quax334 quantize  -0.078 1e-1 -> -0.1 Inexact Rounded
quax335 quantize  -0.078  1e0 -> -0 Inexact Rounded
quax336 quantize  -0.078 1e+1 -> -0E+1 Inexact Rounded
quax337 quantize  -0.078 1e+2 -> -0E+2 Inexact Rounded

quax340 quantize   0.78 1e-5 ->  0.78000
quax341 quantize   0.78 1e-4 ->  0.7800
quax342 quantize   0.78 1e-3 ->  0.780
quax343 quantize   0.78 1e-2 ->  0.78
quax344 quantize   0.78 1e-1 ->  0.8 Inexact Rounded
quax345 quantize   0.78  1e0 ->  1 Inexact Rounded
quax346 quantize   0.78 1e+1 ->  0E+1 Inexact Rounded
quax347 quantize   0.78 1e+2 ->  0E+2 Inexact Rounded

quax350 quantize  -0.78 1e-5 -> -0.78000
quax351 quantize  -0.78 1e-4 -> -0.7800
quax352 quantize  -0.78 1e-3 -> -0.780
quax353 quantize  -0.78 1e-2 -> -0.78
quax354 quantize  -0.78 1e-1 -> -0.8 Inexact Rounded
quax355 quantize  -0.78  1e0 -> -1 Inexact Rounded
quax356 quantize  -0.78 1e+1 -> -0E+1 Inexact Rounded
quax357 quantize  -0.78 1e+2 -> -0E+2 Inexact Rounded

quax360 quantize   7.8 1e-5 ->  7.80000
quax361 quantize   7.8 1e-4 ->  7.8000
quax362 quantize   7.8 1e-3 ->  7.800
quax363 quantize   7.8 1e-2 ->  7.80
quax364 quantize   7.8 1e-1 ->  7.8
quax365 quantize   7.8  1e0 ->  8 Inexact Rounded
quax366 quantize   7.8 1e+1 ->  1E+1 Inexact Rounded
quax367 quantize   7.8 1e+2 ->  0E+2 Inexact Rounded
quax368 quantize   7.8 1e+3 ->  0E+3 Inexact Rounded

quax370 quantize  -7.8 1e-5 -> -7.80000
quax371 quantize  -7.8 1e-4 -> -7.8000
quax372 quantize  -7.8 1e-3 -> -7.800
quax373 quantize  -7.8 1e-2 -> -7.80
quax374 quantize  -7.8 1e-1 -> -7.8
quax375 quantize  -7.8  1e0 -> -8 Inexact Rounded
quax376 quantize  -7.8 1e+1 -> -1E+1 Inexact Rounded
quax377 quantize  -7.8 1e+2 -> -0E+2 Inexact Rounded
quax378 quantize  -7.8 1e+3 -> -0E+3 Inexact Rounded

-- some individuals
precision: 9
quax380 quantize   352364.506 1e-2 -> 352364.51 Inexact Rounded
quax381 quantize   3523645.06 1e-2 -> 3523645.06
quax382 quantize   35236450.6 1e-2 -> NaN Invalid_operation
quax383 quantize   352364506  1e-2 -> NaN Invalid_operation
quax384 quantize  -352364.506 1e-2 -> -352364.51 Inexact Rounded
quax385 quantize  -3523645.06 1e-2 -> -3523645.06
quax386 quantize  -35236450.6 1e-2 -> NaN Invalid_operation
quax387 quantize  -352364506  1e-2 -> NaN Invalid_operation

rounding: down
quax389 quantize   35236450.6 1e-2 -> NaN Invalid_operation
-- ? should that one instead have been:
-- quax389 quantize   35236450.6 1e-2 -> NaN Invalid_operation
rounding: half_up

-- and a few more from e-mail discussions
precision: 7
quax391 quantize  12.34567  1e-3 -> 12.346   Inexact Rounded
quax392 quantize  123.4567  1e-3 -> 123.457  Inexact Rounded
quax393 quantize  1234.567  1e-3 -> 1234.567
quax394 quantize  12345.67  1e-3 -> NaN Invalid_operation
quax395 quantize  123456.7  1e-3 -> NaN Invalid_operation
quax396 quantize  1234567.  1e-3 -> NaN Invalid_operation

-- some 9999 round-up cases
precision: 9
quax400 quantize   9.999        1e-5  ->  9.99900
quax401 quantize   9.999        1e-4  ->  9.9990
quax402 quantize   9.999        1e-3  ->  9.999
quax403 quantize   9.999        1e-2  -> 10.00     Inexact Rounded
quax404 quantize   9.999        1e-1  -> 10.0      Inexact Rounded
quax405 quantize   9.999         1e0  -> 10        Inexact Rounded
quax406 quantize   9.999         1e1  -> 1E+1      Inexact Rounded
quax407 quantize   9.999         1e2  -> 0E+2      Inexact Rounded

quax410 quantize   0.999        1e-5  ->  0.99900
quax411 quantize   0.999        1e-4  ->  0.9990
quax412 quantize   0.999        1e-3  ->  0.999
quax413 quantize   0.999        1e-2  ->  1.00     Inexact Rounded
quax414 quantize   0.999        1e-1  ->  1.0      Inexact Rounded
quax415 quantize   0.999         1e0  ->  1        Inexact Rounded
quax416 quantize   0.999         1e1  -> 0E+1      Inexact Rounded

quax420 quantize   0.0999       1e-5  ->  0.09990
quax421 quantize   0.0999       1e-4  ->  0.0999
quax422 quantize   0.0999       1e-3  ->  0.100    Inexact Rounded
quax423 quantize   0.0999       1e-2  ->  0.10     Inexact Rounded
quax424 quantize   0.0999       1e-1  ->  0.1      Inexact Rounded
quax425 quantize   0.0999        1e0  ->  0        Inexact Rounded
quax426 quantize   0.0999        1e1  -> 0E+1      Inexact Rounded

quax430 quantize   0.00999      1e-5  ->  0.00999
quax431 quantize   0.00999      1e-4  ->  0.0100   Inexact Rounded
quax432 quantize   0.00999      1e-3  ->  0.010    Inexact Rounded
quax433 quantize   0.00999      1e-2  ->  0.01     Inexact Rounded
quax434 quantize   0.00999      1e-1  ->  0.0      Inexact Rounded
quax435 quantize   0.00999       1e0  ->  0        Inexact Rounded
quax436 quantize   0.00999       1e1  -> 0E+1      Inexact Rounded

quax440 quantize   0.000999     1e-5  ->  0.00100  Inexact Rounded
quax441 quantize   0.000999     1e-4  ->  0.0010   Inexact Rounded
quax442 quantize   0.000999     1e-3  ->  0.001    Inexact Rounded
quax443 quantize   0.000999     1e-2  ->  0.00     Inexact Rounded
quax444 quantize   0.000999     1e-1  ->  0.0      Inexact Rounded
quax445 quantize   0.000999      1e0  ->  0        Inexact Rounded
quax446 quantize   0.000999      1e1  -> 0E+1      Inexact Rounded

precision: 8
quax449 quantize   9.999E-15    1e-23 ->  NaN Invalid_operation
quax450 quantize   9.999E-15    1e-22 ->  9.9990000E-15
quax451 quantize   9.999E-15    1e-21 ->  9.999000E-15
quax452 quantize   9.999E-15    1e-20 ->  9.99900E-15
quax453 quantize   9.999E-15    1e-19 ->  9.9990E-15
quax454 quantize   9.999E-15    1e-18 ->  9.999E-15
quax455 quantize   9.999E-15    1e-17 ->  1.000E-14 Inexact Rounded
quax456 quantize   9.999E-15    1e-16 ->  1.00E-14  Inexact Rounded
quax457 quantize   9.999E-15    1e-15 ->  1.0E-14   Inexact Rounded
quax458 quantize   9.999E-15    1e-14 ->  1E-14     Inexact Rounded
quax459 quantize   9.999E-15    1e-13 ->  0E-13     Inexact Rounded
quax460 quantize   9.999E-15    1e-12 ->  0E-12     Inexact Rounded
quax461 quantize   9.999E-15    1e-11 ->  0E-11     Inexact Rounded
quax462 quantize   9.999E-15    1e-10 ->  0E-10     Inexact Rounded
quax463 quantize   9.999E-15     1e-9 ->  0E-9      Inexact Rounded
quax464 quantize   9.999E-15     1e-8 ->  0E-8      Inexact Rounded
quax465 quantize   9.999E-15     1e-7 ->  0E-7      Inexact Rounded
quax466 quantize   9.999E-15     1e-6 ->  0.000000  Inexact Rounded
quax467 quantize   9.999E-15     1e-5 ->  0.00000   Inexact Rounded
quax468 quantize   9.999E-15     1e-4 ->  0.0000    Inexact Rounded
quax469 quantize   9.999E-15     1e-3 ->  0.000     Inexact Rounded
quax470 quantize   9.999E-15     1e-2 ->  0.00      Inexact Rounded
quax471 quantize   9.999E-15     1e-1 ->  0.0       Inexact Rounded
quax472 quantize   9.999E-15      1e0 ->  0         Inexact Rounded
quax473 quantize   9.999E-15      1e1 ->  0E+1      Inexact Rounded

precision: 7
quax900 quantize   9.999E-15    1e-22 ->  NaN       Invalid_operation
quax901 quantize   9.999E-15    1e-21 ->  9.999000E-15
quax902 quantize   9.999E-15    1e-20 ->  9.99900E-15
quax903 quantize   9.999E-15    1e-19 ->  9.9990E-15
quax904 quantize   9.999E-15    1e-18 ->  9.999E-15
quax905 quantize   9.999E-15    1e-17 ->  1.000E-14 Inexact Rounded
quax906 quantize   9.999E-15    1e-16 ->  1.00E-14  Inexact Rounded
quax907 quantize   9.999E-15    1e-15 ->  1.0E-14   Inexact Rounded
quax908 quantize   9.999E-15    1e-14 ->  1E-14     Inexact Rounded
quax909 quantize   9.999E-15    1e-13 ->  0E-13     Inexact Rounded
quax910 quantize   9.999E-15    1e-12 ->  0E-12     Inexact Rounded
quax911 quantize   9.999E-15    1e-11 ->  0E-11     Inexact Rounded
quax912 quantize   9.999E-15    1e-10 ->  0E-10     Inexact Rounded
quax913 quantize   9.999E-15     1e-9 ->  0E-9      Inexact Rounded
quax914 quantize   9.999E-15     1e-8 ->  0E-8      Inexact Rounded
quax915 quantize   9.999E-15     1e-7 ->  0E-7      Inexact Rounded
quax916 quantize   9.999E-15     1e-6 ->  0.000000  Inexact Rounded
quax917 quantize   9.999E-15     1e-5 ->  0.00000   Inexact Rounded
quax918 quantize   9.999E-15     1e-4 ->  0.0000    Inexact Rounded
quax919 quantize   9.999E-15     1e-3 ->  0.000     Inexact Rounded
quax920 quantize   9.999E-15     1e-2 ->  0.00      Inexact Rounded
quax921 quantize   9.999E-15     1e-1 ->  0.0       Inexact Rounded
quax922 quantize   9.999E-15      1e0 ->  0         Inexact Rounded
quax923 quantize   9.999E-15      1e1 ->  0E+1      Inexact Rounded

precision: 6
quax930 quantize   9.999E-15    1e-22 ->  NaN       Invalid_operation
quax931 quantize   9.999E-15    1e-21 ->  NaN       Invalid_operation
quax932 quantize   9.999E-15    1e-20 ->  9.99900E-15
quax933 quantize   9.999E-15    1e-19 ->  9.9990E-15
quax934 quantize   9.999E-15    1e-18 ->  9.999E-15
quax935 quantize   9.999E-15    1e-17 ->  1.000E-14 Inexact Rounded
quax936 quantize   9.999E-15    1e-16 ->  1.00E-14  Inexact Rounded
quax937 quantize   9.999E-15    1e-15 ->  1.0E-14   Inexact Rounded
quax938 quantize   9.999E-15    1e-14 ->  1E-14     Inexact Rounded
quax939 quantize   9.999E-15    1e-13 ->  0E-13     Inexact Rounded
quax940 quantize   9.999E-15    1e-12 ->  0E-12     Inexact Rounded
quax941 quantize   9.999E-15    1e-11 ->  0E-11     Inexact Rounded
quax942 quantize   9.999E-15    1e-10 ->  0E-10     Inexact Rounded
quax943 quantize   9.999E-15     1e-9 ->  0E-9      Inexact Rounded
quax944 quantize   9.999E-15     1e-8 ->  0E-8      Inexact Rounded
quax945 quantize   9.999E-15     1e-7 ->  0E-7      Inexact Rounded
quax946 quantize   9.999E-15     1e-6 ->  0.000000  Inexact Rounded
quax947 quantize   9.999E-15     1e-5 ->  0.00000   Inexact Rounded
quax948 quantize   9.999E-15     1e-4 ->  0.0000    Inexact Rounded
quax949 quantize   9.999E-15     1e-3 ->  0.000     Inexact Rounded
quax950 quantize   9.999E-15     1e-2 ->  0.00      Inexact Rounded
quax951 quantize   9.999E-15     1e-1 ->  0.0       Inexact Rounded
quax952 quantize   9.999E-15      1e0 ->  0         Inexact Rounded
quax953 quantize   9.999E-15      1e1 ->  0E+1      Inexact Rounded

precision: 3
quax960 quantize   9.999E-15    1e-22 ->  NaN       Invalid_operation
quax961 quantize   9.999E-15    1e-21 ->  NaN       Invalid_operation
quax962 quantize   9.999E-15    1e-20 ->  NaN       Invalid_operation
quax963 quantize   9.999E-15    1e-19 ->  NaN       Invalid_operation
quax964 quantize   9.999E-15    1e-18 ->  NaN       Invalid_operation
quax965 quantize   9.999E-15    1e-17 ->  NaN       Invalid_operation
quax966 quantize   9.999E-15    1e-16 ->  1.00E-14  Inexact Rounded
quax967 quantize   9.999E-15    1e-15 ->  1.0E-14   Inexact Rounded
quax968 quantize   9.999E-15    1e-14 ->  1E-14     Inexact Rounded
quax969 quantize   9.999E-15    1e-13 ->  0E-13     Inexact Rounded
quax970 quantize   9.999E-15    1e-12 ->  0E-12     Inexact Rounded
quax971 quantize   9.999E-15    1e-11 ->  0E-11     Inexact Rounded
quax972 quantize   9.999E-15    1e-10 ->  0E-10     Inexact Rounded
quax973 quantize   9.999E-15     1e-9 ->  0E-9      Inexact Rounded
quax974 quantize   9.999E-15     1e-8 ->  0E-8      Inexact Rounded
quax975 quantize   9.999E-15     1e-7 ->  0E-7      Inexact Rounded
quax976 quantize   9.999E-15     1e-6 ->  0.000000  Inexact Rounded
quax977 quantize   9.999E-15     1e-5 ->  0.00000   Inexact Rounded
quax978 quantize   9.999E-15     1e-4 ->  0.0000    Inexact Rounded
quax979 quantize   9.999E-15     1e-3 ->  0.000     Inexact Rounded
quax980 quantize   9.999E-15     1e-2 ->  0.00      Inexact Rounded
quax981 quantize   9.999E-15     1e-1 ->  0.0       Inexact Rounded
quax982 quantize   9.999E-15      1e0 ->  0         Inexact Rounded
quax983 quantize   9.999E-15      1e1 ->  0E+1      Inexact Rounded

-- Fung Lee's case & similar
precision: 3
quax1001 quantize  0.000        0.001 ->  0.000
quax1002 quantize  0.001        0.001 ->  0.001
quax1003 quantize  0.0012       0.001 ->  0.001     Inexact Rounded
quax1004 quantize  0.0018       0.001 ->  0.002     Inexact Rounded
quax1005 quantize  0.501        0.001 ->  0.501
quax1006 quantize  0.5012       0.001 ->  0.501     Inexact Rounded
quax1007 quantize  0.5018       0.001 ->  0.502     Inexact Rounded
quax1008 quantize  0.999        0.001 ->  0.999
quax1009 quantize  0.9992       0.001 ->  0.999     Inexact Rounded
quax1010 quantize  0.9998       0.001 ->  NaN       Invalid_operation
quax1011 quantize  1.0001       0.001 ->  NaN       Invalid_operation
quax1012 quantize  1.0051       0.001 ->  NaN       Invalid_operation
quax1013 quantize  1.0551       0.001 ->  NaN       Invalid_operation
quax1014 quantize  1.5551       0.001 ->  NaN       Invalid_operation
quax1015 quantize  1.9999       0.001 ->  NaN       Invalid_operation

-- long operand checks [rhs checks removed]
maxexponent: 999
minexponent: -999
precision: 9
quax481 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded
quax482 quantize 1234567800  1e+1 -> 1.23456780E+9 Rounded
quax483 quantize 1234567890  1e+1 -> 1.23456789E+9 Rounded
quax484 quantize 1234567891  1e+1 -> 1.23456789E+9 Inexact Rounded
quax485 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded
quax486 quantize 1234567896  1e+1 -> 1.23456790E+9 Inexact Rounded
-- a potential double-round
quax487 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded
quax488 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded

precision: 15
quax491 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded
quax492 quantize 1234567800  1e+1 -> 1.23456780E+9 Rounded
quax493 quantize 1234567890  1e+1 -> 1.23456789E+9 Rounded
quax494 quantize 1234567891  1e+1 -> 1.23456789E+9 Inexact Rounded
quax495 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded
quax496 quantize 1234567896  1e+1 -> 1.23456790E+9 Inexact Rounded
quax497 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded
quax498 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded

-- Zeros
quax500 quantize   0     1e1 ->  0E+1
quax501 quantize   0     1e0 ->  0
quax502 quantize   0    1e-1 ->  0.0
quax503 quantize   0.0  1e-1 ->  0.0
quax504 quantize   0.0   1e0 ->  0
quax505 quantize   0.0  1e+1 ->  0E+1
quax506 quantize   0E+1 1e-1 ->  0.0
quax507 quantize   0E+1  1e0 ->  0
quax508 quantize   0E+1 1e+1 ->  0E+1
quax509 quantize  -0     1e1 -> -0E+1
quax510 quantize  -0     1e0 -> -0
quax511 quantize  -0    1e-1 -> -0.0
quax512 quantize  -0.0  1e-1 -> -0.0
quax513 quantize  -0.0   1e0 -> -0
quax514 quantize  -0.0  1e+1 -> -0E+1
quax515 quantize  -0E+1 1e-1 -> -0.0
quax516 quantize  -0E+1  1e0 -> -0
quax517 quantize  -0E+1 1e+1 -> -0E+1

-- Suspicious RHS values
maxexponent: 999999999
minexponent: -999999999
precision: 15
quax520 quantize   1.234    1e999999000 -> 0E+999999000 Inexact Rounded
quax521 quantize 123.456    1e999999000 -> 0E+999999000 Inexact Rounded
quax522 quantize   1.234    1e999999999 -> 0E+999999999 Inexact Rounded
quax523 quantize 123.456    1e999999999 -> 0E+999999999 Inexact Rounded
quax524 quantize 123.456   1e1000000000 -> NaN Invalid_operation
quax525 quantize 123.456  1e12345678903 -> NaN Invalid_operation
-- next four are "won't fit" overflows
quax526 quantize   1.234   1e-999999000 -> NaN Invalid_operation
quax527 quantize 123.456   1e-999999000 -> NaN Invalid_operation
quax528 quantize   1.234   1e-999999999 -> NaN Invalid_operation
quax529 quantize 123.456   1e-999999999 -> NaN Invalid_operation
quax530 quantize 123.456  1e-1000000014 -> NaN Invalid_operation
quax531 quantize 123.456 1e-12345678903 -> NaN Invalid_operation

maxexponent: 999
minexponent: -999
precision: 15
quax532 quantize   1.234E+999    1e999 -> 1E+999    Inexact Rounded
quax533 quantize   1.234E+998    1e999 -> 0E+999    Inexact Rounded
quax534 quantize   1.234         1e999 -> 0E+999    Inexact Rounded
quax535 quantize   1.234        1e1000 -> NaN Invalid_operation
quax536 quantize   1.234        1e5000 -> NaN Invalid_operation
quax537 quantize   0            1e-999 -> 0E-999
-- next two are "won't fit" overflows
quax538 quantize   1.234        1e-999 -> NaN Invalid_operation
quax539 quantize   1.234       1e-1000 -> NaN Invalid_operation
quax540 quantize   1.234       1e-5000 -> NaN Invalid_operation
-- [more below]

-- check bounds (lhs maybe out of range for destination, etc.)
precision:     7
quax541 quantize   1E+999   1e+999 -> 1E+999
quax542 quantize   1E+1000  1e+999 -> NaN Invalid_operation
quax543 quantize   1E+999  1e+1000 -> NaN Invalid_operation
quax544 quantize   1E-999   1e-999 -> 1E-999
quax545 quantize   1E-1000  1e-999 -> 0E-999    Inexact Rounded
quax546 quantize   1E-999  1e-1000 -> 1.0E-999
quax547 quantize   1E-1005  1e-999 -> 0E-999    Inexact Rounded
quax548 quantize   1E-1006  1e-999 -> 0E-999    Inexact Rounded
quax549 quantize   1E-1007  1e-999 -> 0E-999    Inexact Rounded
quax550 quantize   1E-998  1e-1005 -> NaN Invalid_operation  -- won't fit
quax551 quantize   1E-999  1e-1005 -> 1.000000E-999
quax552 quantize   1E-1000 1e-1005 -> 1.00000E-1000 Subnormal
quax553 quantize   1E-999  1e-1006 -> NaN Invalid_operation
quax554 quantize   1E-999  1e-1007 -> NaN Invalid_operation
-- related subnormal rounding
quax555 quantize   1.666666E-999  1e-1005 -> 1.666666E-999
quax556 quantize   1.666666E-1000 1e-1005 -> 1.66667E-1000  Subnormal Inexact Rounded
quax557 quantize   1.666666E-1001 1e-1005 -> 1.6667E-1001  Subnormal Inexact Rounded
quax558 quantize   1.666666E-1002 1e-1005 -> 1.667E-1002  Subnormal Inexact Rounded
quax559 quantize   1.666666E-1003 1e-1005 -> 1.67E-1003  Subnormal Inexact Rounded
quax560 quantize   1.666666E-1004 1e-1005 -> 1.7E-1004  Subnormal Inexact Rounded
quax561 quantize   1.666666E-1005 1e-1005 -> 2E-1005  Subnormal Inexact Rounded
quax562 quantize   1.666666E-1006 1e-1005 -> 0E-1005   Inexact Rounded
quax563 quantize   1.666666E-1007 1e-1005 -> 0E-1005   Inexact Rounded

-- Specials
quax580 quantize  Inf    -Inf   ->  Infinity
quax581 quantize  Inf  1e-1000  ->  NaN  Invalid_operation
quax582 quantize  Inf  1e-1     ->  NaN  Invalid_operation
quax583 quantize  Inf   1e0     ->  NaN  Invalid_operation
quax584 quantize  Inf   1e1     ->  NaN  Invalid_operation
quax585 quantize  Inf   1e1000  ->  NaN  Invalid_operation
quax586 quantize  Inf     Inf   ->  Infinity
quax587 quantize -1000    Inf   ->  NaN  Invalid_operation
quax588 quantize -Inf     Inf   ->  -Infinity
quax589 quantize -1       Inf   ->  NaN  Invalid_operation
quax590 quantize  0       Inf   ->  NaN  Invalid_operation
quax591 quantize  1       Inf   ->  NaN  Invalid_operation
quax592 quantize  1000    Inf   ->  NaN  Invalid_operation
quax593 quantize  Inf     Inf   ->  Infinity
quax594 quantize  Inf  1e-0     ->  NaN  Invalid_operation
quax595 quantize -0       Inf   ->  NaN  Invalid_operation

quax600 quantize -Inf    -Inf   ->  -Infinity
quax601 quantize -Inf  1e-1000  ->  NaN  Invalid_operation
quax602 quantize -Inf  1e-1     ->  NaN  Invalid_operation
quax603 quantize -Inf   1e0     ->  NaN  Invalid_operation
quax604 quantize -Inf   1e1     ->  NaN  Invalid_operation
quax605 quantize -Inf   1e1000  ->  NaN  Invalid_operation
quax606 quantize -Inf     Inf   ->  -Infinity
quax607 quantize -1000    Inf   ->  NaN  Invalid_operation
quax608 quantize -Inf    -Inf   ->  -Infinity
quax609 quantize -1      -Inf   ->  NaN  Invalid_operation
quax610 quantize  0      -Inf   ->  NaN  Invalid_operation
quax611 quantize  1      -Inf   ->  NaN  Invalid_operation
quax612 quantize  1000   -Inf   ->  NaN  Invalid_operation
quax613 quantize  Inf    -Inf   ->  Infinity
quax614 quantize -Inf  1e-0     ->  NaN  Invalid_operation
quax615 quantize -0      -Inf   ->  NaN  Invalid_operation

quax621 quantize  NaN   -Inf    ->  NaN
quax622 quantize  NaN 1e-1000   ->  NaN
quax623 quantize  NaN 1e-1      ->  NaN
quax624 quantize  NaN  1e0      ->  NaN
quax625 quantize  NaN  1e1      ->  NaN
quax626 quantize  NaN  1e1000   ->  NaN
quax627 quantize  NaN    Inf    ->  NaN
quax628 quantize  NaN    NaN    ->  NaN
quax629 quantize -Inf    NaN    ->  NaN
quax630 quantize -1000   NaN    ->  NaN
quax631 quantize -1      NaN    ->  NaN
quax632 quantize  0      NaN    ->  NaN
quax633 quantize  1      NaN    ->  NaN
quax634 quantize  1000   NaN    ->  NaN
quax635 quantize  Inf    NaN    ->  NaN
quax636 quantize  NaN 1e-0      ->  NaN
quax637 quantize -0      NaN    ->  NaN

quax641 quantize  sNaN   -Inf   ->  NaN  Invalid_operation
quax642 quantize  sNaN 1e-1000  ->  NaN  Invalid_operation
quax643 quantize  sNaN 1e-1     ->  NaN  Invalid_operation
quax644 quantize  sNaN  1e0     ->  NaN  Invalid_operation
quax645 quantize  sNaN  1e1     ->  NaN  Invalid_operation
quax646 quantize  sNaN  1e1000  ->  NaN  Invalid_operation
quax647 quantize  sNaN    NaN   ->  NaN  Invalid_operation
quax648 quantize  sNaN   sNaN   ->  NaN  Invalid_operation
quax649 quantize  NaN    sNaN   ->  NaN  Invalid_operation
quax650 quantize -Inf    sNaN   ->  NaN  Invalid_operation
quax651 quantize -1000   sNaN   ->  NaN  Invalid_operation
quax652 quantize -1      sNaN   ->  NaN  Invalid_operation
quax653 quantize  0      sNaN   ->  NaN  Invalid_operation
quax654 quantize  1      sNaN   ->  NaN  Invalid_operation
quax655 quantize  1000   sNaN   ->  NaN  Invalid_operation
quax656 quantize  Inf    sNaN   ->  NaN  Invalid_operation
quax657 quantize  NaN    sNaN   ->  NaN  Invalid_operation
quax658 quantize  sNaN 1e-0     ->  NaN  Invalid_operation
quax659 quantize -0      sNaN   ->  NaN  Invalid_operation

-- propagating NaNs
quax661 quantize  NaN9 -Inf   ->  NaN9
quax662 quantize  NaN8  919   ->  NaN8
quax663 quantize  NaN71 Inf   ->  NaN71
quax664 quantize  NaN6  NaN5  ->  NaN6
quax665 quantize -Inf   NaN4  ->  NaN4
quax666 quantize -919   NaN31 ->  NaN31
quax667 quantize  Inf   NaN2  ->  NaN2

quax671 quantize  sNaN99 -Inf    ->  NaN99 Invalid_operation
quax672 quantize  sNaN98 -11     ->  NaN98 Invalid_operation
quax673 quantize  sNaN97  NaN    ->  NaN97 Invalid_operation
quax674 quantize  sNaN16 sNaN94  ->  NaN16 Invalid_operation
quax675 quantize  NaN95  sNaN93  ->  NaN93 Invalid_operation
quax676 quantize -Inf    sNaN92  ->  NaN92 Invalid_operation
quax677 quantize  088    sNaN91  ->  NaN91 Invalid_operation
quax678 quantize  Inf    sNaN90  ->  NaN90 Invalid_operation
quax679 quantize  NaN    sNaN88  ->  NaN88 Invalid_operation

quax681 quantize -NaN9 -Inf   -> -NaN9
quax682 quantize -NaN8  919   -> -NaN8
quax683 quantize -NaN71 Inf   -> -NaN71
quax684 quantize -NaN6 -NaN5  -> -NaN6
quax685 quantize -Inf  -NaN4  -> -NaN4
quax686 quantize -919  -NaN31 -> -NaN31
quax687 quantize  Inf  -NaN2  -> -NaN2

quax691 quantize -sNaN99 -Inf    -> -NaN99 Invalid_operation
quax692 quantize -sNaN98 -11     -> -NaN98 Invalid_operation
quax693 quantize -sNaN97  NaN    -> -NaN97 Invalid_operation
quax694 quantize -sNaN16 sNaN94  -> -NaN16 Invalid_operation
quax695 quantize -NaN95 -sNaN93  -> -NaN93 Invalid_operation
quax696 quantize -Inf   -sNaN92  -> -NaN92 Invalid_operation
quax697 quantize  088   -sNaN91  -> -NaN91 Invalid_operation
quax698 quantize  Inf   -sNaN90  -> -NaN90 Invalid_operation
quax699 quantize  NaN   -sNaN88  -> -NaN88 Invalid_operation

-- subnormals and underflow
precision: 4
maxexponent: 999
minexponent: -999
quax710 quantize  1.00E-999    1e-999  ->   1E-999    Rounded
quax711 quantize  0.1E-999    2e-1000  ->   1E-1000   Subnormal
quax712 quantize  0.10E-999   3e-1000  ->   1E-1000   Subnormal Rounded
quax713 quantize  0.100E-999  4e-1000  ->   1E-1000   Subnormal Rounded
quax714 quantize  0.01E-999   5e-1001  ->   1E-1001   Subnormal
-- next is rounded to Emin
quax715 quantize  0.999E-999   1e-999  ->   1E-999    Inexact Rounded
quax716 quantize  0.099E-999 10e-1000  ->   1E-1000   Inexact Rounded Subnormal

quax717 quantize  0.009E-999  1e-1001  ->   1E-1001   Inexact Rounded Subnormal
quax718 quantize  0.001E-999  1e-1001  ->   0E-1001   Inexact Rounded
quax719 quantize  0.0009E-999 1e-1001  ->   0E-1001   Inexact Rounded
quax720 quantize  0.0001E-999 1e-1001  ->   0E-1001   Inexact Rounded

quax730 quantize -1.00E-999   1e-999  ->  -1E-999     Rounded
quax731 quantize -0.1E-999    1e-999  ->  -0E-999     Rounded Inexact
quax732 quantize -0.10E-999   1e-999  ->  -0E-999     Rounded Inexact
quax733 quantize -0.100E-999  1e-999  ->  -0E-999     Rounded Inexact
quax734 quantize -0.01E-999   1e-999  ->  -0E-999     Inexact Rounded
-- next is rounded to Emin
quax735 quantize -0.999E-999 90e-999  ->  -1E-999     Inexact Rounded
quax736 quantize -0.099E-999 -1e-999  ->  -0E-999     Inexact Rounded
quax737 quantize -0.009E-999 -1e-999  ->  -0E-999     Inexact Rounded
quax738 quantize -0.001E-999 -0e-999  ->  -0E-999     Inexact Rounded
quax739 quantize -0.0001E-999 0e-999  ->  -0E-999     Inexact Rounded

quax740 quantize -1.00E-999   1e-1000 ->  -1.0E-999   Rounded
quax741 quantize -0.1E-999    1e-1000 ->  -1E-1000    Subnormal
quax742 quantize -0.10E-999   1e-1000 ->  -1E-1000    Subnormal Rounded
quax743 quantize -0.100E-999  1e-1000 ->  -1E-1000    Subnormal Rounded
quax744 quantize -0.01E-999   1e-1000 ->  -0E-1000    Inexact Rounded
-- next is rounded to Emin
quax745 quantize -0.999E-999  1e-1000 ->  -1.0E-999   Inexact Rounded
quax746 quantize -0.099E-999  1e-1000 ->  -1E-1000    Inexact Rounded Subnormal
quax747 quantize -0.009E-999  1e-1000 ->  -0E-1000    Inexact Rounded
quax748 quantize -0.001E-999  1e-1000 ->  -0E-1000    Inexact Rounded
quax749 quantize -0.0001E-999 1e-1000 ->  -0E-1000    Inexact Rounded

quax750 quantize -1.00E-999   1e-1001 ->  -1.00E-999
quax751 quantize -0.1E-999    1e-1001 ->  -1.0E-1000  Subnormal
quax752 quantize -0.10E-999   1e-1001 ->  -1.0E-1000  Subnormal
quax753 quantize -0.100E-999  1e-1001 ->  -1.0E-1000  Subnormal Rounded
quax754 quantize -0.01E-999   1e-1001 ->  -1E-1001    Subnormal
-- next is rounded to Emin
quax755 quantize -0.999E-999  1e-1001 ->  -1.00E-999  Inexact Rounded
quax756 quantize -0.099E-999  1e-1001 ->  -1.0E-1000  Inexact Rounded Subnormal
quax757 quantize -0.009E-999  1e-1001 ->  -1E-1001    Inexact Rounded Subnormal
quax758 quantize -0.001E-999  1e-1001 ->  -0E-1001    Inexact Rounded
quax759 quantize -0.0001E-999 1e-1001 ->  -0E-1001    Inexact Rounded

quax760 quantize -1.00E-999   1e-1002 ->  -1.000E-999
quax761 quantize -0.1E-999    1e-1002 ->  -1.00E-1000  Subnormal
quax762 quantize -0.10E-999   1e-1002 ->  -1.00E-1000  Subnormal
quax763 quantize -0.100E-999  1e-1002 ->  -1.00E-1000  Subnormal
quax764 quantize -0.01E-999   1e-1002 ->  -1.0E-1001   Subnormal
quax765 quantize -0.999E-999  1e-1002 ->  -9.99E-1000  Subnormal
quax766 quantize -0.099E-999  1e-1002 ->  -9.9E-1001   Subnormal
quax767 quantize -0.009E-999  1e-1002 ->  -9E-1002     Subnormal
quax768 quantize -0.001E-999  1e-1002 ->  -1E-1002     Subnormal
quax769 quantize -0.0001E-999 1e-1002 ->  -0E-1002     Inexact Rounded

-- rhs must be no less than Etiny
quax770 quantize -1.00E-999   1e-1003 ->  NaN Invalid_operation
quax771 quantize -0.1E-999    1e-1003 ->  NaN Invalid_operation
quax772 quantize -0.10E-999   1e-1003 ->  NaN Invalid_operation
quax773 quantize -0.100E-999  1e-1003 ->  NaN Invalid_operation
quax774 quantize -0.01E-999   1e-1003 ->  NaN Invalid_operation
quax775 quantize -0.999E-999  1e-1003 ->  NaN Invalid_operation
quax776 quantize -0.099E-999  1e-1003 ->  NaN Invalid_operation
quax777 quantize -0.009E-999  1e-1003 ->  NaN Invalid_operation
quax778 quantize -0.001E-999  1e-1003 ->  NaN Invalid_operation
quax779 quantize -0.0001E-999 1e-1003 ->  NaN Invalid_operation
quax780 quantize -0.0001E-999 1e-1004 ->  NaN Invalid_operation

precision:   9
maxExponent: 999999999
minexponent: -999999999

-- some extremes derived from Rescale testcases
quax801 quantize   0   1e1000000000 -> NaN Invalid_operation
quax802 quantize   0  1e-1000000000 -> 0E-1000000000
quax803 quantize   0   1e2000000000 -> NaN Invalid_operation
quax804 quantize   0  1e-2000000000 -> NaN Invalid_operation
quax805 quantize   0   1e3000000000 -> NaN Invalid_operation
quax806 quantize   0  1e-3000000000 -> NaN Invalid_operation
quax807 quantize   0   1e4000000000 -> NaN Invalid_operation
quax808 quantize   0  1e-4000000000 -> NaN Invalid_operation
quax809 quantize   0   1e5000000000 -> NaN Invalid_operation
quax810 quantize   0  1e-5000000000 -> NaN Invalid_operation
quax811 quantize   0   1e6000000000 -> NaN Invalid_operation
quax812 quantize   0  1e-6000000000 -> NaN Invalid_operation
quax813 quantize   0   1e7000000000 -> NaN Invalid_operation
quax814 quantize   0  1e-7000000000 -> NaN Invalid_operation
quax815 quantize   0   1e8000000000 -> NaN Invalid_operation
quax816 quantize   0  1e-8000000000 -> NaN Invalid_operation
quax817 quantize   0   1e9000000000 -> NaN Invalid_operation
quax818 quantize   0  1e-9000000000 -> NaN Invalid_operation
quax819 quantize   0   1e9999999999 -> NaN Invalid_operation
quax820 quantize   0  1e-9999999999 -> NaN Invalid_operation
quax821 quantize   0   1e10000000000 -> NaN Invalid_operation
quax822 quantize   0  1e-10000000000 -> NaN Invalid_operation

quax843 quantize   0    1e999999999 -> 0E+999999999
quax844 quantize   0   1e1000000000 -> NaN Invalid_operation
quax845 quantize   0   1e-999999999 -> 0E-999999999
quax846 quantize   0  1e-1000000000 -> 0E-1000000000
quax847 quantize   0  1e-1000000001 -> 0E-1000000001
quax848 quantize   0  1e-1000000002 -> 0E-1000000002
quax849 quantize   0  1e-1000000003 -> 0E-1000000003
quax850 quantize   0  1e-1000000004 -> 0E-1000000004
quax851 quantize   0  1e-1000000005 -> 0E-1000000005
quax852 quantize   0  1e-1000000006 -> 0E-1000000006
quax853 quantize   0  1e-1000000007 -> 0E-1000000007
quax854 quantize   0  1e-1000000008 -> NaN Invalid_operation

quax861 quantize   1  1e+2147483649 -> NaN Invalid_operation
quax862 quantize   1  1e+2147483648 -> NaN Invalid_operation
quax863 quantize   1  1e+2147483647 -> NaN Invalid_operation
quax864 quantize   1  1e-2147483647 -> NaN Invalid_operation
quax865 quantize   1  1e-2147483648 -> NaN Invalid_operation
quax866 quantize   1  1e-2147483649 -> NaN Invalid_operation

-- More from Fung Lee
precision:   16
rounding:    half_up
maxExponent: 384
minExponent: -383
quax1021 quantize    8.666666666666000E+384     1.000000000000000E+384  -> 8.666666666666000E+384
quax1022 quantize 64#8.666666666666000E+384  64#1.000000000000000E+384  -> 8.666666666666000E+384
quax1023 quantize 64#8.666666666666000E+384  128#1.000000000000000E+384 -> 8.666666666666000E+384
quax1024 quantize 64#8.666666666666000E+384  64#1E+384                  -> 8.666666666666000E+384
quax1025 quantize 64#8.666666666666000E+384  64#1E+384   -> 64#8.666666666666000E+384
quax1026 quantize 64#8.666666666666000E+384 128#1E+384   -> 64#9E+384 Inexact Rounded Clamped
quax1027 quantize 64#8.666666666666000E+323  64#1E+31    -> NaN Invalid_operation
quax1028 quantize 64#8.666666666666000E+323 128#1E+31    -> NaN Invalid_operation
quax1029 quantize 64#8.66666666E+3          128#1E+10    -> 64#0E10 Inexact Rounded
quax1030 quantize    8.66666666E+3              1E+3     -> 9E+3 Inexact Rounded

-- Int and uInt32 edge values for testing conversions
quax1040 quantize -2147483646     0 -> -2147483646
quax1041 quantize -2147483647     0 -> -2147483647
quax1042 quantize -2147483648     0 -> -2147483648
quax1043 quantize -2147483649     0 -> -2147483649
quax1044 quantize  2147483646     0 ->  2147483646
quax1045 quantize  2147483647     0 ->  2147483647
quax1046 quantize  2147483648     0 ->  2147483648
quax1047 quantize  2147483649     0 ->  2147483649
quax1048 quantize  4294967294     0 ->  4294967294
quax1049 quantize  4294967295     0 ->  4294967295
quax1050 quantize  4294967296     0 ->  4294967296
quax1051 quantize  4294967297     0 ->  4294967297
-- and powers of ten for same
quax1101 quantize  5000000000     0 ->  5000000000
quax1102 quantize  4000000000     0 ->  4000000000
quax1103 quantize  2000000000     0 ->  2000000000
quax1104 quantize  1000000000     0 ->  1000000000
quax1105 quantize  0100000000     0 ->  100000000
quax1106 quantize  0010000000     0 ->  10000000
quax1107 quantize  0001000000     0 ->  1000000
quax1108 quantize  0000100000     0 ->  100000
quax1109 quantize  0000010000     0 ->  10000
quax1110 quantize  0000001000     0 ->  1000
quax1111 quantize  0000000100     0 ->  100
quax1112 quantize  0000000010     0 ->  10
quax1113 quantize  0000000001     0 ->  1
quax1114 quantize  0000000000     0 ->  0
-- and powers of ten for same
quax1121 quantize -5000000000     0 -> -5000000000
quax1122 quantize -4000000000     0 -> -4000000000
quax1123 quantize -2000000000     0 -> -2000000000
quax1124 quantize -1000000000     0 -> -1000000000
quax1125 quantize -0100000000     0 -> -100000000
quax1126 quantize -0010000000     0 -> -10000000
quax1127 quantize -0001000000     0 -> -1000000
quax1128 quantize -0000100000     0 -> -100000
quax1129 quantize -0000010000     0 -> -10000
quax1130 quantize -0000001000     0 -> -1000
quax1131 quantize -0000000100     0 -> -100
quax1132 quantize -0000000010     0 -> -10
quax1133 quantize -0000000001     0 -> -1
quax1134 quantize -0000000000     0 -> -0

-- Some miscellany
precision:   34
rounding:    half_up
maxExponent: 6144
minExponent: -6143
--                             1         2         3
--                   1 234567890123456789012345678901234
quax0a1 quantize     8.555555555555555555555555555555555E+6143  1E+6143      -> 9E+6143   Inexact Rounded
quax0a2 quantize 128#8.555555555555555555555555555555555E+6143  128#1E+6143  -> 8.55555555555555555555555555555556E+6143   Rounded Inexact
quax0a3 quantize 128#8.555555555555555555555555555555555E+6144  128#1E+6144  -> 8.555555555555555555555555555555555E+6144

-- payload decapitate
precision: 5
quax62100 quantize 11 -sNaN1234567890 -> -NaN67890  Invalid_operation

-- Null tests
quax998 quantize 10    # -> NaN Invalid_operation
quax999 quantize  # 1e10 -> NaN Invalid_operation
