dqQuantize.decTest

------------------------------------------------------------------------
-- dqQuantize.decTest -- decQuad 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: 2.59

-- 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'
-- [Forked from quantize.decTest 2006.11.25]

extended:    1
clamp:       1
precision:   34
maxExponent: 6144
minExponent: -6143
rounding:    half_even

-- sanity checks
dqqua001 quantize 0       1e0   -> 0
dqqua002 quantize 1       1e0   -> 1
dqqua003 quantize 0.1    1e+2   -> 0E+2 Inexact Rounded
dqqua005 quantize 0.1    1e+1   -> 0E+1 Inexact Rounded
dqqua006 quantize 0.1     1e0   -> 0 Inexact Rounded
dqqua007 quantize 0.1    1e-1   -> 0.1
dqqua008 quantize 0.1    1e-2   -> 0.10
dqqua009 quantize 0.1    1e-3   -> 0.100
dqqua010 quantize 0.9    1e+2   -> 0E+2 Inexact Rounded
dqqua011 quantize 0.9    1e+1   -> 0E+1 Inexact Rounded
dqqua012 quantize 0.9    1e+0   -> 1 Inexact Rounded
dqqua013 quantize 0.9    1e-1   -> 0.9
dqqua014 quantize 0.9    1e-2   -> 0.90
dqqua015 quantize 0.9    1e-3   -> 0.900
-- negatives
dqqua021 quantize -0      1e0   -> -0
dqqua022 quantize -1      1e0   -> -1
dqqua023 quantize -0.1   1e+2   -> -0E+2 Inexact Rounded
dqqua025 quantize -0.1   1e+1   -> -0E+1 Inexact Rounded
dqqua026 quantize -0.1    1e0   -> -0 Inexact Rounded
dqqua027 quantize -0.1   1e-1   -> -0.1
dqqua028 quantize -0.1   1e-2   -> -0.10
dqqua029 quantize -0.1   1e-3   -> -0.100
dqqua030 quantize -0.9   1e+2   -> -0E+2 Inexact Rounded
dqqua031 quantize -0.9   1e+1   -> -0E+1 Inexact Rounded
dqqua032 quantize -0.9   1e+0   -> -1 Inexact Rounded
dqqua033 quantize -0.9   1e-1   -> -0.9
dqqua034 quantize -0.9   1e-2   -> -0.90
dqqua035 quantize -0.9   1e-3   -> -0.900
dqqua036 quantize -0.5   1e+2   -> -0E+2 Inexact Rounded
dqqua037 quantize -0.5   1e+1   -> -0E+1 Inexact Rounded
dqqua038 quantize -0.5   1e+0   -> -0 Inexact Rounded
dqqua039 quantize -0.5   1e-1   -> -0.5
dqqua040 quantize -0.5   1e-2   -> -0.50
dqqua041 quantize -0.5   1e-3   -> -0.500
dqqua042 quantize -0.9   1e+2   -> -0E+2 Inexact Rounded
dqqua043 quantize -0.9   1e+1   -> -0E+1 Inexact Rounded
dqqua044 quantize -0.9   1e+0   -> -1 Inexact Rounded
dqqua045 quantize -0.9   1e-1   -> -0.9
dqqua046 quantize -0.9   1e-2   -> -0.90
dqqua047 quantize -0.9   1e-3   -> -0.900

-- examples from Specification
dqqua060 quantize 2.17   0.001  -> 2.170
dqqua061 quantize 2.17   0.01   -> 2.17
dqqua062 quantize 2.17   0.1    -> 2.2 Inexact Rounded
dqqua063 quantize 2.17   1e+0   -> 2 Inexact Rounded
dqqua064 quantize 2.17   1e+1   -> 0E+1 Inexact Rounded
dqqua065 quantize -Inf    Inf   -> -Infinity
dqqua066 quantize 2       Inf   -> NaN Invalid_operation
dqqua067 quantize -0.1    1     -> -0 Inexact Rounded
dqqua068 quantize -0      1e+5     -> -0E+5
dqqua069 quantize +123451234567899876543216789012345.6 1e-2 -> NaN Invalid_operation
dqqua070 quantize -987651234567899876543214335236450.6 1e-2 -> NaN Invalid_operation
dqqua071 quantize 217    1e-1   -> 217.0
dqqua072 quantize 217    1e+0   -> 217
dqqua073 quantize 217    1e+1   -> 2.2E+2 Inexact Rounded
dqqua074 quantize 217    1e+2   -> 2E+2 Inexact Rounded

-- general tests ..
dqqua089 quantize 12     1e+4   -> 0E+4 Inexact Rounded
dqqua090 quantize 12     1e+3   -> 0E+3 Inexact Rounded
dqqua091 quantize 12     1e+2   -> 0E+2 Inexact Rounded
dqqua092 quantize 12     1e+1   -> 1E+1 Inexact Rounded
dqqua093 quantize 1.2345 1e-2   -> 1.23 Inexact Rounded
dqqua094 quantize 1.2355 1e-2   -> 1.24 Inexact Rounded
dqqua095 quantize 1.2345 1e-6   -> 1.234500
dqqua096 quantize 9.9999 1e-2   -> 10.00 Inexact Rounded
dqqua097 quantize 0.0001 1e-2   -> 0.00 Inexact Rounded
dqqua098 quantize 0.001  1e-2   -> 0.00 Inexact Rounded
dqqua099 quantize 0.009  1e-2   -> 0.01 Inexact Rounded
dqqua100 quantize 92     1e+2   -> 1E+2 Inexact Rounded

dqqua101 quantize -1      1e0   ->  -1
dqqua102 quantize -1     1e-1   ->  -1.0
dqqua103 quantize -1     1e-2   ->  -1.00
dqqua104 quantize  0      1e0   ->  0
dqqua105 quantize  0     1e-1   ->  0.0
dqqua106 quantize  0     1e-2   ->  0.00
dqqua107 quantize  0.00   1e0   ->  0
dqqua108 quantize  0     1e+1   ->  0E+1
dqqua109 quantize  0     1e+2   ->  0E+2
dqqua110 quantize +1      1e0   ->  1
dqqua111 quantize +1     1e-1   ->  1.0
dqqua112 quantize +1     1e-2   ->  1.00

dqqua120 quantize   1.04  1e-3 ->  1.040
dqqua121 quantize   1.04  1e-2 ->  1.04
dqqua122 quantize   1.04  1e-1 ->  1.0 Inexact Rounded
dqqua123 quantize   1.04   1e0 ->  1 Inexact Rounded
dqqua124 quantize   1.05  1e-3 ->  1.050
dqqua125 quantize   1.05  1e-2 ->  1.05
dqqua126 quantize   1.05  1e-1 ->  1.0 Inexact Rounded
dqqua131 quantize   1.05   1e0 ->  1 Inexact Rounded
dqqua132 quantize   1.06  1e-3 ->  1.060
dqqua133 quantize   1.06  1e-2 ->  1.06
dqqua134 quantize   1.06  1e-1 ->  1.1 Inexact Rounded
dqqua135 quantize   1.06   1e0 ->  1 Inexact Rounded

dqqua140 quantize   -10    1e-2  ->  -10.00
dqqua141 quantize   +1     1e-2  ->  1.00
dqqua142 quantize   +10    1e-2  ->  10.00
dqqua143 quantize   1E+37  1e-2  ->  NaN Invalid_operation
dqqua144 quantize   1E-37  1e-2  ->  0.00 Inexact Rounded
dqqua145 quantize   1E-3   1e-2  ->  0.00 Inexact Rounded
dqqua146 quantize   1E-2   1e-2  ->  0.01
dqqua147 quantize   1E-1   1e-2  ->  0.10
dqqua148 quantize   0E-37  1e-2  ->  0.00

dqqua150 quantize   1.0600 1e-5 ->  1.06000
dqqua151 quantize   1.0600 1e-4 ->  1.0600
dqqua152 quantize   1.0600 1e-3 ->  1.060 Rounded
dqqua153 quantize   1.0600 1e-2 ->  1.06 Rounded
dqqua154 quantize   1.0600 1e-1 ->  1.1 Inexact Rounded
dqqua155 quantize   1.0600  1e0 ->  1 Inexact Rounded

-- a couple where rounding was different in base tests
rounding:    half_up
dqqua157 quantize -0.5   1e+0   -> -1 Inexact Rounded
dqqua158 quantize   1.05  1e-1 ->  1.1 Inexact Rounded
dqqua159 quantize   1.06   1e0 ->  1 Inexact Rounded
rounding:    half_even

-- base tests with non-1 coefficients
dqqua161 quantize 0      -9e0   -> 0
dqqua162 quantize 1      -7e0   -> 1
dqqua163 quantize 0.1   -1e+2   -> 0E+2 Inexact Rounded
dqqua165 quantize 0.1    0e+1   -> 0E+1 Inexact Rounded
dqqua166 quantize 0.1     2e0   -> 0 Inexact Rounded
dqqua167 quantize 0.1    3e-1   -> 0.1
dqqua168 quantize 0.1   44e-2   -> 0.10
dqqua169 quantize 0.1  555e-3   -> 0.100
dqqua170 quantize 0.9 6666e+2   -> 0E+2 Inexact Rounded
dqqua171 quantize 0.9 -777e+1   -> 0E+1 Inexact Rounded
dqqua172 quantize 0.9  -88e+0   -> 1 Inexact Rounded
dqqua173 quantize 0.9   -9e-1   -> 0.9
dqqua174 quantize 0.9    0e-2   -> 0.90
dqqua175 quantize 0.9  1.1e-3   -> 0.9000
-- negatives
dqqua181 quantize -0    1.1e0   -> -0.0
dqqua182 quantize -1     -1e0   -> -1
dqqua183 quantize -0.1  11e+2   -> -0E+2 Inexact Rounded
dqqua185 quantize -0.1 111e+1   -> -0E+1 Inexact Rounded
dqqua186 quantize -0.1   71e0   -> -0 Inexact Rounded
dqqua187 quantize -0.1 -91e-1   -> -0.1
dqqua188 quantize -0.1 -.1e-2   -> -0.100
dqqua189 quantize -0.1  -1e-3   -> -0.100
dqqua190 quantize -0.9   0e+2   -> -0E+2 Inexact Rounded
dqqua191 quantize -0.9  -0e+1   -> -0E+1 Inexact Rounded
dqqua192 quantize -0.9 -10e+0   -> -1 Inexact Rounded
dqqua193 quantize -0.9 100e-1   -> -0.9
dqqua194 quantize -0.9 999e-2   -> -0.90

-- +ve exponents ..
dqqua201 quantize   -1   1e+0 ->  -1
dqqua202 quantize   -1   1e+1 ->  -0E+1 Inexact Rounded
dqqua203 quantize   -1   1e+2 ->  -0E+2 Inexact Rounded
dqqua204 quantize    0   1e+0 ->  0
dqqua205 quantize    0   1e+1 ->  0E+1
dqqua206 quantize    0   1e+2 ->  0E+2
dqqua207 quantize   +1   1e+0 ->  1
dqqua208 quantize   +1   1e+1 ->  0E+1 Inexact Rounded
dqqua209 quantize   +1   1e+2 ->  0E+2 Inexact Rounded

dqqua220 quantize   1.04 1e+3 ->  0E+3 Inexact Rounded
dqqua221 quantize   1.04 1e+2 ->  0E+2 Inexact Rounded
dqqua222 quantize   1.04 1e+1 ->  0E+1 Inexact Rounded
dqqua223 quantize   1.04 1e+0 ->  1 Inexact Rounded
dqqua224 quantize   1.05 1e+3 ->  0E+3 Inexact Rounded
dqqua225 quantize   1.05 1e+2 ->  0E+2 Inexact Rounded
dqqua226 quantize   1.05 1e+1 ->  0E+1 Inexact Rounded
dqqua227 quantize   1.05 1e+0 ->  1 Inexact Rounded
dqqua228 quantize   1.05 1e+3 ->  0E+3 Inexact Rounded
dqqua229 quantize   1.05 1e+2 ->  0E+2 Inexact Rounded
dqqua230 quantize   1.05 1e+1 ->  0E+1 Inexact Rounded
dqqua231 quantize   1.05 1e+0 ->  1 Inexact Rounded
dqqua232 quantize   1.06 1e+3 ->  0E+3 Inexact Rounded
dqqua233 quantize   1.06 1e+2 ->  0E+2 Inexact Rounded
dqqua234 quantize   1.06 1e+1 ->  0E+1 Inexact Rounded
dqqua235 quantize   1.06 1e+0 ->  1 Inexact Rounded

dqqua240 quantize   -10   1e+1  ->  -1E+1 Rounded
dqqua241 quantize   +1    1e+1  ->  0E+1 Inexact Rounded
dqqua242 quantize   +10   1e+1  ->  1E+1 Rounded
dqqua243 quantize   1E+1  1e+1  ->  1E+1          -- underneath this is E+1
dqqua244 quantize   1E+2  1e+1  ->  1.0E+2        -- underneath this is E+1
dqqua245 quantize   1E+3  1e+1  ->  1.00E+3       -- underneath this is E+1
dqqua246 quantize   1E+4  1e+1  ->  1.000E+4      -- underneath this is E+1
dqqua247 quantize   1E+5  1e+1  ->  1.0000E+5     -- underneath this is E+1
dqqua248 quantize   1E+6  1e+1  ->  1.00000E+6    -- underneath this is E+1
dqqua249 quantize   1E+7  1e+1  ->  1.000000E+7   -- underneath this is E+1
dqqua250 quantize   1E+8  1e+1  ->  1.0000000E+8  -- underneath this is E+1
dqqua251 quantize   1E+9  1e+1  ->  1.00000000E+9 -- underneath this is E+1
-- next one tries to add 9 zeros
dqqua252 quantize   1E+37 1e+1  ->  NaN Invalid_operation
dqqua253 quantize   1E-37 1e+1  ->  0E+1 Inexact Rounded
dqqua254 quantize   1E-2  1e+1  ->  0E+1 Inexact Rounded
dqqua255 quantize   0E-37 1e+1  ->  0E+1
dqqua256 quantize  -0E-37 1e+1  -> -0E+1
dqqua257 quantize  -0E-1  1e+1  -> -0E+1
dqqua258 quantize  -0     1e+1  -> -0E+1
dqqua259 quantize  -0E+1  1e+1  -> -0E+1

dqqua260 quantize   -10   1e+2  ->  -0E+2 Inexact Rounded
dqqua261 quantize   +1    1e+2  ->  0E+2 Inexact Rounded
dqqua262 quantize   +10   1e+2  ->  0E+2 Inexact Rounded
dqqua263 quantize   1E+1  1e+2  ->  0E+2 Inexact Rounded
dqqua264 quantize   1E+2  1e+2  ->  1E+2
dqqua265 quantize   1E+3  1e+2  ->  1.0E+3
dqqua266 quantize   1E+4  1e+2  ->  1.00E+4
dqqua267 quantize   1E+5  1e+2  ->  1.000E+5
dqqua268 quantize   1E+6  1e+2  ->  1.0000E+6
dqqua269 quantize   1E+7  1e+2  ->  1.00000E+7
dqqua270 quantize   1E+8  1e+2  ->  1.000000E+8
dqqua271 quantize   1E+9  1e+2  ->  1.0000000E+9
dqqua272 quantize   1E+10 1e+2  ->  1.00000000E+10
dqqua273 quantize   1E-10 1e+2  ->  0E+2 Inexact Rounded
dqqua274 quantize   1E-2  1e+2  ->  0E+2 Inexact Rounded
dqqua275 quantize   0E-10 1e+2  ->  0E+2

dqqua280 quantize   -10   1e+3  ->  -0E+3 Inexact Rounded
dqqua281 quantize   +1    1e+3  ->  0E+3 Inexact Rounded
dqqua282 quantize   +10   1e+3  ->  0E+3 Inexact Rounded
dqqua283 quantize   1E+1  1e+3  ->  0E+3 Inexact Rounded
dqqua284 quantize   1E+2  1e+3  ->  0E+3 Inexact Rounded
dqqua285 quantize   1E+3  1e+3  ->  1E+3
dqqua286 quantize   1E+4  1e+3  ->  1.0E+4
dqqua287 quantize   1E+5  1e+3  ->  1.00E+5
dqqua288 quantize   1E+6  1e+3  ->  1.000E+6
dqqua289 quantize   1E+7  1e+3  ->  1.0000E+7
dqqua290 quantize   1E+8  1e+3  ->  1.00000E+8
dqqua291 quantize   1E+9  1e+3  ->  1.000000E+9
dqqua292 quantize   1E+10 1e+3  ->  1.0000000E+10
dqqua293 quantize   1E-10 1e+3  ->  0E+3 Inexact Rounded
dqqua294 quantize   1E-2  1e+3  ->  0E+3 Inexact Rounded
dqqua295 quantize   0E-10 1e+3  ->  0E+3

-- round up from below [sign wrong in JIT compiler once]
dqqua300 quantize   0.0078 1e-5 ->  0.00780
dqqua301 quantize   0.0078 1e-4 ->  0.0078
dqqua302 quantize   0.0078 1e-3 ->  0.008 Inexact Rounded
dqqua303 quantize   0.0078 1e-2 ->  0.01 Inexact Rounded
dqqua304 quantize   0.0078 1e-1 ->  0.0 Inexact Rounded
dqqua305 quantize   0.0078  1e0 ->  0 Inexact Rounded
dqqua306 quantize   0.0078 1e+1 ->  0E+1 Inexact Rounded
dqqua307 quantize   0.0078 1e+2 ->  0E+2 Inexact Rounded

dqqua310 quantize  -0.0078 1e-5 -> -0.00780
dqqua311 quantize  -0.0078 1e-4 -> -0.0078
dqqua312 quantize  -0.0078 1e-3 -> -0.008 Inexact Rounded
dqqua313 quantize  -0.0078 1e-2 -> -0.01 Inexact Rounded
dqqua314 quantize  -0.0078 1e-1 -> -0.0 Inexact Rounded
dqqua315 quantize  -0.0078  1e0 -> -0 Inexact Rounded
dqqua316 quantize  -0.0078 1e+1 -> -0E+1 Inexact Rounded
dqqua317 quantize  -0.0078 1e+2 -> -0E+2 Inexact Rounded

dqqua320 quantize   0.078 1e-5 ->  0.07800
dqqua321 quantize   0.078 1e-4 ->  0.0780
dqqua322 quantize   0.078 1e-3 ->  0.078
dqqua323 quantize   0.078 1e-2 ->  0.08 Inexact Rounded
dqqua324 quantize   0.078 1e-1 ->  0.1 Inexact Rounded
dqqua325 quantize   0.078  1e0 ->  0 Inexact Rounded
dqqua326 quantize   0.078 1e+1 ->  0E+1 Inexact Rounded
dqqua327 quantize   0.078 1e+2 ->  0E+2 Inexact Rounded

dqqua330 quantize  -0.078 1e-5 -> -0.07800
dqqua331 quantize  -0.078 1e-4 -> -0.0780
dqqua332 quantize  -0.078 1e-3 -> -0.078
dqqua333 quantize  -0.078 1e-2 -> -0.08 Inexact Rounded
dqqua334 quantize  -0.078 1e-1 -> -0.1 Inexact Rounded
dqqua335 quantize  -0.078  1e0 -> -0 Inexact Rounded
dqqua336 quantize  -0.078 1e+1 -> -0E+1 Inexact Rounded
dqqua337 quantize  -0.078 1e+2 -> -0E+2 Inexact Rounded

dqqua340 quantize   0.78 1e-5 ->  0.78000
dqqua341 quantize   0.78 1e-4 ->  0.7800
dqqua342 quantize   0.78 1e-3 ->  0.780
dqqua343 quantize   0.78 1e-2 ->  0.78
dqqua344 quantize   0.78 1e-1 ->  0.8 Inexact Rounded
dqqua345 quantize   0.78  1e0 ->  1 Inexact Rounded
dqqua346 quantize   0.78 1e+1 ->  0E+1 Inexact Rounded
dqqua347 quantize   0.78 1e+2 ->  0E+2 Inexact Rounded

dqqua350 quantize  -0.78 1e-5 -> -0.78000
dqqua351 quantize  -0.78 1e-4 -> -0.7800
dqqua352 quantize  -0.78 1e-3 -> -0.780
dqqua353 quantize  -0.78 1e-2 -> -0.78
dqqua354 quantize  -0.78 1e-1 -> -0.8 Inexact Rounded
dqqua355 quantize  -0.78  1e0 -> -1 Inexact Rounded
dqqua356 quantize  -0.78 1e+1 -> -0E+1 Inexact Rounded
dqqua357 quantize  -0.78 1e+2 -> -0E+2 Inexact Rounded

dqqua360 quantize   7.8 1e-5 ->  7.80000
dqqua361 quantize   7.8 1e-4 ->  7.8000
dqqua362 quantize   7.8 1e-3 ->  7.800
dqqua363 quantize   7.8 1e-2 ->  7.80
dqqua364 quantize   7.8 1e-1 ->  7.8
dqqua365 quantize   7.8  1e0 ->  8 Inexact Rounded
dqqua366 quantize   7.8 1e+1 ->  1E+1 Inexact Rounded
dqqua367 quantize   7.8 1e+2 ->  0E+2 Inexact Rounded
dqqua368 quantize   7.8 1e+3 ->  0E+3 Inexact Rounded

dqqua370 quantize  -7.8 1e-5 -> -7.80000
dqqua371 quantize  -7.8 1e-4 -> -7.8000
dqqua372 quantize  -7.8 1e-3 -> -7.800
dqqua373 quantize  -7.8 1e-2 -> -7.80
dqqua374 quantize  -7.8 1e-1 -> -7.8
dqqua375 quantize  -7.8  1e0 -> -8 Inexact Rounded
dqqua376 quantize  -7.8 1e+1 -> -1E+1 Inexact Rounded
dqqua377 quantize  -7.8 1e+2 -> -0E+2 Inexact Rounded
dqqua378 quantize  -7.8 1e+3 -> -0E+3 Inexact Rounded

-- some individuals
dqqua380 quantize   1122334455667788991234567352364.506 1e-2 -> 1122334455667788991234567352364.51 Inexact Rounded
dqqua381 quantize   11223344556677889912345673523645.06 1e-2 -> 11223344556677889912345673523645.06
dqqua382 quantize   112233445566778899123456735236450.6 1e-2 -> NaN Invalid_operation
dqqua383 quantize   1122334455667788991234567352364506  1e-2 -> NaN Invalid_operation
dqqua384 quantize  -1122334455667788991234567352364.506 1e-2 -> -1122334455667788991234567352364.51 Inexact Rounded
dqqua385 quantize  -11223344556677889912345673523645.06 1e-2 -> -11223344556677889912345673523645.06
dqqua386 quantize  -112233445566778899123456735236450.6 1e-2 -> NaN Invalid_operation
dqqua387 quantize  -1122334455667788991234567352364506  1e-2 -> NaN Invalid_operation

rounding: down
dqqua389 quantize   112233445566778899123456735236450.6 1e-2 -> NaN Invalid_operation
rounding: half_up

-- and a few more from e-mail discussions
dqqua391 quantize  11223344556677889912345678912.34567  1e-3 -> 11223344556677889912345678912.346   Inexact Rounded
dqqua392 quantize  112233445566778899123456789123.4567  1e-3 -> 112233445566778899123456789123.457  Inexact Rounded
dqqua393 quantize  1122334455667788991234567891234567.  1e-3 -> NaN Invalid_operation

-- some 9999 round-up cases
dqqua400 quantize   9.999        1e-5  ->  9.99900
dqqua401 quantize   9.999        1e-4  ->  9.9990
dqqua402 quantize   9.999        1e-3  ->  9.999
dqqua403 quantize   9.999        1e-2  -> 10.00     Inexact Rounded
dqqua404 quantize   9.999        1e-1  -> 10.0      Inexact Rounded
dqqua405 quantize   9.999         1e0  -> 10        Inexact Rounded
dqqua406 quantize   9.999         1e1  -> 1E+1      Inexact Rounded
dqqua407 quantize   9.999         1e2  -> 0E+2      Inexact Rounded

dqqua410 quantize   0.999        1e-5  ->  0.99900
dqqua411 quantize   0.999        1e-4  ->  0.9990
dqqua412 quantize   0.999        1e-3  ->  0.999
dqqua413 quantize   0.999        1e-2  ->  1.00     Inexact Rounded
dqqua414 quantize   0.999        1e-1  ->  1.0      Inexact Rounded
dqqua415 quantize   0.999         1e0  ->  1        Inexact Rounded
dqqua416 quantize   0.999         1e1  -> 0E+1      Inexact Rounded

dqqua420 quantize   0.0999       1e-5  ->  0.09990
dqqua421 quantize   0.0999       1e-4  ->  0.0999
dqqua422 quantize   0.0999       1e-3  ->  0.100    Inexact Rounded
dqqua423 quantize   0.0999       1e-2  ->  0.10     Inexact Rounded
dqqua424 quantize   0.0999       1e-1  ->  0.1      Inexact Rounded
dqqua425 quantize   0.0999        1e0  ->  0        Inexact Rounded
dqqua426 quantize   0.0999        1e1  -> 0E+1      Inexact Rounded

dqqua430 quantize   0.00999      1e-5  ->  0.00999
dqqua431 quantize   0.00999      1e-4  ->  0.0100   Inexact Rounded
dqqua432 quantize   0.00999      1e-3  ->  0.010    Inexact Rounded
dqqua433 quantize   0.00999      1e-2  ->  0.01     Inexact Rounded
dqqua434 quantize   0.00999      1e-1  ->  0.0      Inexact Rounded
dqqua435 quantize   0.00999       1e0  ->  0        Inexact Rounded
dqqua436 quantize   0.00999       1e1  -> 0E+1      Inexact Rounded

dqqua440 quantize   0.000999     1e-5  ->  0.00100  Inexact Rounded
dqqua441 quantize   0.000999     1e-4  ->  0.0010   Inexact Rounded
dqqua442 quantize   0.000999     1e-3  ->  0.001    Inexact Rounded
dqqua443 quantize   0.000999     1e-2  ->  0.00     Inexact Rounded
dqqua444 quantize   0.000999     1e-1  ->  0.0      Inexact Rounded
dqqua445 quantize   0.000999      1e0  ->  0        Inexact Rounded
dqqua446 quantize   0.000999      1e1  -> 0E+1      Inexact Rounded

dqqua1001 quantize  0.000        0.001 ->  0.000
dqqua1002 quantize  0.001        0.001 ->  0.001
dqqua1003 quantize  0.0012       0.001 ->  0.001     Inexact Rounded
dqqua1004 quantize  0.0018       0.001 ->  0.002     Inexact Rounded
dqqua1005 quantize  0.501        0.001 ->  0.501
dqqua1006 quantize  0.5012       0.001 ->  0.501     Inexact Rounded
dqqua1007 quantize  0.5018       0.001 ->  0.502     Inexact Rounded
dqqua1008 quantize  0.999        0.001 ->  0.999

dqqua481 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded
dqqua482 quantize 1234567800  1e+1 -> 1.23456780E+9 Rounded
dqqua483 quantize 1234567890  1e+1 -> 1.23456789E+9 Rounded
dqqua484 quantize 1234567891  1e+1 -> 1.23456789E+9 Inexact Rounded
dqqua485 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded
dqqua486 quantize 1234567896  1e+1 -> 1.23456790E+9 Inexact Rounded
-- a potential double-round
dqqua487 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded
dqqua488 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded

dqqua491 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded
dqqua492 quantize 1234567800  1e+1 -> 1.23456780E+9 Rounded
dqqua493 quantize 1234567890  1e+1 -> 1.23456789E+9 Rounded
dqqua494 quantize 1234567891  1e+1 -> 1.23456789E+9 Inexact Rounded
dqqua495 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded
dqqua496 quantize 1234567896  1e+1 -> 1.23456790E+9 Inexact Rounded
dqqua497 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded
dqqua498 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded

-- Zeros
dqqua500 quantize   0     1e1 ->  0E+1
dqqua501 quantize   0     1e0 ->  0
dqqua502 quantize   0    1e-1 ->  0.0
dqqua503 quantize   0.0  1e-1 ->  0.0
dqqua504 quantize   0.0   1e0 ->  0
dqqua505 quantize   0.0  1e+1 ->  0E+1
dqqua506 quantize   0E+1 1e-1 ->  0.0
dqqua507 quantize   0E+1  1e0 ->  0
dqqua508 quantize   0E+1 1e+1 ->  0E+1
dqqua509 quantize  -0     1e1 -> -0E+1
dqqua510 quantize  -0     1e0 -> -0
dqqua511 quantize  -0    1e-1 -> -0.0
dqqua512 quantize  -0.0  1e-1 -> -0.0
dqqua513 quantize  -0.0   1e0 -> -0
dqqua514 quantize  -0.0  1e+1 -> -0E+1
dqqua515 quantize  -0E+1 1e-1 -> -0.0
dqqua516 quantize  -0E+1  1e0 -> -0
dqqua517 quantize  -0E+1 1e+1 -> -0E+1
-- #519 here once a problem
dqqua518 quantize  0    0E-3  -> 0.000
dqqua519 quantize  0    0E-33 -> 0E-33
dqqua520 quantize  0.00000000000000000000000000000000   0E-33 -> 0E-33
dqqua521 quantize  0.000000000000000000000000000000000  0E-33 -> 0E-33

-- Some non-zeros with lots of padding on the right
dqqua523 quantize   1   0E-33 -> 1.000000000000000000000000000000000
dqqua524 quantize  12   0E-32 -> 12.00000000000000000000000000000000
dqqua525 quantize 123   0E-31 -> 123.0000000000000000000000000000000
dqqua526 quantize 123   0E-32 -> NaN Invalid_operation
dqqua527 quantize 123.4 0E-31 -> 123.4000000000000000000000000000000
dqqua528 quantize 123.4 0E-32 -> NaN Invalid_operation

-- Suspicious RHS values
dqqua530 quantize   1.234    1e359 -> 0E+359 Inexact Rounded
dqqua531 quantize 123.456    1e359 -> 0E+359 Inexact Rounded
dqqua532 quantize   1.234    1e359 -> 0E+359 Inexact Rounded
dqqua533 quantize 123.456    1e359 -> 0E+359 Inexact Rounded
-- next four are "won't fit" overflows
dqqua536 quantize   1.234   1e-299 -> NaN Invalid_operation
dqqua537 quantize 123.456   1e-299 -> NaN Invalid_operation
dqqua538 quantize   1.234   1e-299 -> NaN Invalid_operation
dqqua539 quantize 123.456   1e-299 -> NaN Invalid_operation

dqqua542 quantize   1.234E+299    1e299 -> 1E+299    Inexact Rounded
dqqua543 quantize   1.234E+298    1e299 -> 0E+299    Inexact Rounded
dqqua544 quantize   1.234         1e299 -> 0E+299    Inexact Rounded
dqqua547 quantize   0            1e-299 -> 0E-299
-- next two are "won't fit" overflows
dqqua548 quantize   1.234        1e-299 -> NaN Invalid_operation
dqqua549 quantize   1.234        1e-300 -> NaN Invalid_operation
-- [more below]

-- Specials
dqqua580 quantize  Inf    -Inf   ->  Infinity
dqqua581 quantize  Inf  1e-299   ->  NaN  Invalid_operation
dqqua582 quantize  Inf  1e-1     ->  NaN  Invalid_operation
dqqua583 quantize  Inf   1e0     ->  NaN  Invalid_operation
dqqua584 quantize  Inf   1e1     ->  NaN  Invalid_operation
dqqua585 quantize  Inf   1e299   ->  NaN  Invalid_operation
dqqua586 quantize  Inf     Inf   ->  Infinity
dqqua587 quantize -1000    Inf   ->  NaN  Invalid_operation
dqqua588 quantize -Inf     Inf   ->  -Infinity
dqqua589 quantize -1       Inf   ->  NaN  Invalid_operation
dqqua590 quantize  0       Inf   ->  NaN  Invalid_operation
dqqua591 quantize  1       Inf   ->  NaN  Invalid_operation
dqqua592 quantize  1000    Inf   ->  NaN  Invalid_operation
dqqua593 quantize  Inf     Inf   ->  Infinity
dqqua594 quantize  Inf  1e-0     ->  NaN  Invalid_operation
dqqua595 quantize -0       Inf   ->  NaN  Invalid_operation

dqqua600 quantize -Inf    -Inf   ->  -Infinity
dqqua601 quantize -Inf  1e-299   ->  NaN  Invalid_operation
dqqua602 quantize -Inf  1e-1     ->  NaN  Invalid_operation
dqqua603 quantize -Inf   1e0     ->  NaN  Invalid_operation
dqqua604 quantize -Inf   1e1     ->  NaN  Invalid_operation
dqqua605 quantize -Inf   1e299   ->  NaN  Invalid_operation
dqqua606 quantize -Inf     Inf   ->  -Infinity
dqqua607 quantize -1000    Inf   ->  NaN  Invalid_operation
dqqua608 quantize -Inf    -Inf   ->  -Infinity
dqqua609 quantize -1      -Inf   ->  NaN  Invalid_operation
dqqua610 quantize  0      -Inf   ->  NaN  Invalid_operation
dqqua611 quantize  1      -Inf   ->  NaN  Invalid_operation
dqqua612 quantize  1000   -Inf   ->  NaN  Invalid_operation
dqqua613 quantize  Inf    -Inf   ->  Infinity
dqqua614 quantize -Inf  1e-0     ->  NaN  Invalid_operation
dqqua615 quantize -0      -Inf   ->  NaN  Invalid_operation

dqqua621 quantize  NaN   -Inf    ->  NaN
dqqua622 quantize  NaN 1e-299    ->  NaN
dqqua623 quantize  NaN 1e-1      ->  NaN
dqqua624 quantize  NaN  1e0      ->  NaN
dqqua625 quantize  NaN  1e1      ->  NaN
dqqua626 quantize  NaN  1e299    ->  NaN
dqqua627 quantize  NaN    Inf    ->  NaN
dqqua628 quantize  NaN    NaN    ->  NaN
dqqua629 quantize -Inf    NaN    ->  NaN
dqqua630 quantize -1000   NaN    ->  NaN
dqqua631 quantize -1      NaN    ->  NaN
dqqua632 quantize  0      NaN    ->  NaN
dqqua633 quantize  1      NaN    ->  NaN
dqqua634 quantize  1000   NaN    ->  NaN
dqqua635 quantize  Inf    NaN    ->  NaN
dqqua636 quantize  NaN 1e-0      ->  NaN
dqqua637 quantize -0      NaN    ->  NaN

dqqua641 quantize  sNaN   -Inf   ->  NaN  Invalid_operation
dqqua642 quantize  sNaN 1e-299   ->  NaN  Invalid_operation
dqqua643 quantize  sNaN 1e-1     ->  NaN  Invalid_operation
dqqua644 quantize  sNaN  1e0     ->  NaN  Invalid_operation
dqqua645 quantize  sNaN  1e1     ->  NaN  Invalid_operation
dqqua646 quantize  sNaN  1e299   ->  NaN  Invalid_operation
dqqua647 quantize  sNaN    NaN   ->  NaN  Invalid_operation
dqqua648 quantize  sNaN   sNaN   ->  NaN  Invalid_operation
dqqua649 quantize  NaN    sNaN   ->  NaN  Invalid_operation
dqqua650 quantize -Inf    sNaN   ->  NaN  Invalid_operation
dqqua651 quantize -1000   sNaN   ->  NaN  Invalid_operation
dqqua652 quantize -1      sNaN   ->  NaN  Invalid_operation
dqqua653 quantize  0      sNaN   ->  NaN  Invalid_operation
dqqua654 quantize  1      sNaN   ->  NaN  Invalid_operation
dqqua655 quantize  1000   sNaN   ->  NaN  Invalid_operation
dqqua656 quantize  Inf    sNaN   ->  NaN  Invalid_operation
dqqua657 quantize  NaN    sNaN   ->  NaN  Invalid_operation
dqqua658 quantize  sNaN 1e-0     ->  NaN  Invalid_operation
dqqua659 quantize -0      sNaN   ->  NaN  Invalid_operation

-- propagating NaNs
dqqua661 quantize  NaN9 -Inf   ->  NaN9
dqqua662 quantize  NaN8  919   ->  NaN8
dqqua663 quantize  NaN71 Inf   ->  NaN71
dqqua664 quantize  NaN6  NaN5  ->  NaN6
dqqua665 quantize -Inf   NaN4  ->  NaN4
dqqua666 quantize -919   NaN31 ->  NaN31
dqqua667 quantize  Inf   NaN2  ->  NaN2

dqqua671 quantize  sNaN99 -Inf    ->  NaN99 Invalid_operation
dqqua672 quantize  sNaN98 -11     ->  NaN98 Invalid_operation
dqqua673 quantize  sNaN97  NaN    ->  NaN97 Invalid_operation
dqqua674 quantize  sNaN16 sNaN94  ->  NaN16 Invalid_operation
dqqua675 quantize  NaN95  sNaN93  ->  NaN93 Invalid_operation
dqqua676 quantize -Inf    sNaN92  ->  NaN92 Invalid_operation
dqqua677 quantize  088    sNaN91  ->  NaN91 Invalid_operation
dqqua678 quantize  Inf    sNaN90  ->  NaN90 Invalid_operation
dqqua679 quantize  NaN    sNaN88  ->  NaN88 Invalid_operation

dqqua681 quantize -NaN9 -Inf   -> -NaN9
dqqua682 quantize -NaN8  919   -> -NaN8
dqqua683 quantize -NaN71 Inf   -> -NaN71
dqqua684 quantize -NaN6 -NaN5  -> -NaN6
dqqua685 quantize -Inf  -NaN4  -> -NaN4
dqqua686 quantize -919  -NaN31 -> -NaN31
dqqua687 quantize  Inf  -NaN2  -> -NaN2

dqqua691 quantize -sNaN99 -Inf    -> -NaN99 Invalid_operation
dqqua692 quantize -sNaN98 -11     -> -NaN98 Invalid_operation
dqqua693 quantize -sNaN97  NaN    -> -NaN97 Invalid_operation
dqqua694 quantize -sNaN16 sNaN94  -> -NaN16 Invalid_operation
dqqua695 quantize -NaN95 -sNaN93  -> -NaN93 Invalid_operation
dqqua696 quantize -Inf   -sNaN92  -> -NaN92 Invalid_operation
dqqua697 quantize  088   -sNaN91  -> -NaN91 Invalid_operation
dqqua698 quantize  Inf   -sNaN90  -> -NaN90 Invalid_operation
dqqua699 quantize  NaN   -sNaN88  -> -NaN88 Invalid_operation

-- subnormals and underflow
dqqua710 quantize  1.00E-6143   1e-6143  ->   1E-6143   Rounded
dqqua711 quantize  0.1E-6143    2e-6144  ->   1E-6144   Subnormal
dqqua712 quantize  0.10E-6143   3e-6144  ->   1E-6144   Subnormal Rounded
dqqua713 quantize  0.100E-6143  4e-6144  ->   1E-6144   Subnormal Rounded
dqqua714 quantize  0.01E-6143   5e-6145  ->   1E-6145   Subnormal
-- next is rounded to Emin
dqqua715 quantize  0.999E-6143  1e-6143  ->   1E-6143   Inexact Rounded
dqqua716 quantize  0.099E-6143 10e-6144  ->   1E-6144   Inexact Rounded Subnormal

dqqua717 quantize  0.009E-6143  1e-6145  ->   1E-6145   Inexact Rounded Subnormal
dqqua718 quantize  0.001E-6143  1e-6145  ->   0E-6145   Inexact Rounded
dqqua719 quantize  0.0009E-6143 1e-6145  ->   0E-6145   Inexact Rounded
dqqua720 quantize  0.0001E-6143 1e-6145  ->   0E-6145   Inexact Rounded

dqqua730 quantize -1.00E-6143   1e-6143  ->  -1E-6143     Rounded
dqqua731 quantize -0.1E-6143    1e-6143  ->  -0E-6143     Rounded Inexact
dqqua732 quantize -0.10E-6143   1e-6143  ->  -0E-6143     Rounded Inexact
dqqua733 quantize -0.100E-6143  1e-6143  ->  -0E-6143     Rounded Inexact
dqqua734 quantize -0.01E-6143   1e-6143  ->  -0E-6143     Inexact Rounded
-- next is rounded to Emin
dqqua735 quantize -0.999E-6143 90e-6143  ->  -1E-6143     Inexact Rounded
dqqua736 quantize -0.099E-6143 -1e-6143  ->  -0E-6143     Inexact Rounded
dqqua737 quantize -0.009E-6143 -1e-6143  ->  -0E-6143     Inexact Rounded
dqqua738 quantize -0.001E-6143 -0e-6143  ->  -0E-6143     Inexact Rounded
dqqua739 quantize -0.0001E-6143 0e-6143  ->  -0E-6143     Inexact Rounded

dqqua740 quantize -1.00E-6143   1e-6144 ->  -1.0E-6143   Rounded
dqqua741 quantize -0.1E-6143    1e-6144 ->  -1E-6144    Subnormal
dqqua742 quantize -0.10E-6143   1e-6144 ->  -1E-6144    Subnormal Rounded
dqqua743 quantize -0.100E-6143  1e-6144 ->  -1E-6144    Subnormal Rounded
dqqua744 quantize -0.01E-6143   1e-6144 ->  -0E-6144    Inexact Rounded
-- next is rounded to Emin
dqqua745 quantize -0.999E-6143  1e-6144 ->  -1.0E-6143   Inexact Rounded
dqqua746 quantize -0.099E-6143  1e-6144 ->  -1E-6144    Inexact Rounded Subnormal
dqqua747 quantize -0.009E-6143  1e-6144 ->  -0E-6144    Inexact Rounded
dqqua748 quantize -0.001E-6143  1e-6144 ->  -0E-6144    Inexact Rounded
dqqua749 quantize -0.0001E-6143 1e-6144 ->  -0E-6144    Inexact Rounded

dqqua750 quantize -1.00E-6143   1e-6145 ->  -1.00E-6143
dqqua751 quantize -0.1E-6143    1e-6145 ->  -1.0E-6144  Subnormal
dqqua752 quantize -0.10E-6143   1e-6145 ->  -1.0E-6144  Subnormal
dqqua753 quantize -0.100E-6143  1e-6145 ->  -1.0E-6144  Subnormal Rounded
dqqua754 quantize -0.01E-6143   1e-6145 ->  -1E-6145    Subnormal
-- next is rounded to Emin
dqqua755 quantize -0.999E-6143  1e-6145 ->  -1.00E-6143  Inexact Rounded
dqqua756 quantize -0.099E-6143  1e-6145 ->  -1.0E-6144  Inexact Rounded Subnormal
dqqua757 quantize -0.009E-6143  1e-6145 ->  -1E-6145    Inexact Rounded Subnormal
dqqua758 quantize -0.001E-6143  1e-6145 ->  -0E-6145    Inexact Rounded
dqqua759 quantize -0.0001E-6143 1e-6145 ->  -0E-6145    Inexact Rounded

dqqua760 quantize -1.00E-6143   1e-6146 ->  -1.000E-6143
dqqua761 quantize -0.1E-6143    1e-6146 ->  -1.00E-6144  Subnormal
dqqua762 quantize -0.10E-6143   1e-6146 ->  -1.00E-6144  Subnormal
dqqua763 quantize -0.100E-6143  1e-6146 ->  -1.00E-6144  Subnormal
dqqua764 quantize -0.01E-6143   1e-6146 ->  -1.0E-6145   Subnormal
dqqua765 quantize -0.999E-6143  1e-6146 ->  -9.99E-6144  Subnormal
dqqua766 quantize -0.099E-6143  1e-6146 ->  -9.9E-6145   Subnormal
dqqua767 quantize -0.009E-6143  1e-6146 ->  -9E-6146     Subnormal
dqqua768 quantize -0.001E-6143  1e-6146 ->  -1E-6146     Subnormal
dqqua769 quantize -0.0001E-6143 1e-6146 ->  -0E-6146     Inexact Rounded

-- More from Fung Lee
-- the next four would appear to be in error, but they are misleading (the
-- operands will be clamped to a lower exponent) and so are omitted
-- dqqua1021 quantize  8.666666666666000E+6144  1.000000000000000E+6144 ->  8.666666666666000000000000000000000E+6144  Clamped
-- dqqua1022 quantize -8.666666666666000E+6144  1.000000000000000E+6144 -> -8.666666666666000000000000000000000E+6144  Clamped
-- dqqua1027 quantize 8.666666666666000E+323  1E+31    -> NaN Invalid_operation
-- dqqua1030 quantize 8.66666666E+3           1E+3     -> 9E+3 Inexact Rounded

-- Int and uInt32 edge values for testing conversions
dqqua1040 quantize -2147483646     0 -> -2147483646
dqqua1041 quantize -2147483647     0 -> -2147483647
dqqua1042 quantize -2147483648     0 -> -2147483648
dqqua1043 quantize -2147483649     0 -> -2147483649
dqqua1044 quantize  2147483646     0 ->  2147483646
dqqua1045 quantize  2147483647     0 ->  2147483647
dqqua1046 quantize  2147483648     0 ->  2147483648
dqqua1047 quantize  2147483649     0 ->  2147483649
dqqua1048 quantize  4294967294     0 ->  4294967294
dqqua1049 quantize  4294967295     0 ->  4294967295
dqqua1050 quantize  4294967296     0 ->  4294967296
dqqua1051 quantize  4294967297     0 ->  4294967297

-- Rounding swathe
rounding: half_even
dqqua1100 quantize  1.2300    1.00    ->  1.23  Rounded
dqqua1101 quantize  1.2301    1.00    ->  1.23  Inexact Rounded
dqqua1102 quantize  1.2310    1.00    ->  1.23  Inexact Rounded
dqqua1103 quantize  1.2350    1.00    ->  1.24  Inexact Rounded
dqqua1104 quantize  1.2351    1.00    ->  1.24  Inexact Rounded
dqqua1105 quantize  1.2450    1.00    ->  1.24  Inexact Rounded
dqqua1106 quantize  1.2451    1.00    ->  1.25  Inexact Rounded
dqqua1107 quantize  1.2360    1.00    ->  1.24  Inexact Rounded
dqqua1108 quantize  1.2370    1.00    ->  1.24  Inexact Rounded
dqqua1109 quantize  1.2399    1.00    ->  1.24  Inexact Rounded

rounding: half_up
dqqua1200 quantize  1.2300    1.00    ->  1.23  Rounded
dqqua1201 quantize  1.2301    1.00    ->  1.23  Inexact Rounded
dqqua1202 quantize  1.2310    1.00    ->  1.23  Inexact Rounded
dqqua1203 quantize  1.2350    1.00    ->  1.24  Inexact Rounded
dqqua1204 quantize  1.2351    1.00    ->  1.24  Inexact Rounded
dqqua1205 quantize  1.2450    1.00    ->  1.25  Inexact Rounded
dqqua1206 quantize  1.2451    1.00    ->  1.25  Inexact Rounded
dqqua1207 quantize  1.2360    1.00    ->  1.24  Inexact Rounded
dqqua1208 quantize  1.2370    1.00    ->  1.24  Inexact Rounded
dqqua1209 quantize  1.2399    1.00    ->  1.24  Inexact Rounded

rounding: half_down
dqqua1300 quantize  1.2300    1.00    ->  1.23  Rounded
dqqua1301 quantize  1.2301    1.00    ->  1.23  Inexact Rounded
dqqua1302 quantize  1.2310    1.00    ->  1.23  Inexact Rounded
dqqua1303 quantize  1.2350    1.00    ->  1.23  Inexact Rounded
dqqua1304 quantize  1.2351    1.00    ->  1.24  Inexact Rounded
dqqua1305 quantize  1.2450    1.00    ->  1.24  Inexact Rounded
dqqua1306 quantize  1.2451    1.00    ->  1.25  Inexact Rounded
dqqua1307 quantize  1.2360    1.00    ->  1.24  Inexact Rounded
dqqua1308 quantize  1.2370    1.00    ->  1.24  Inexact Rounded
dqqua1309 quantize  1.2399    1.00    ->  1.24  Inexact Rounded

rounding: up
dqqua1400 quantize  1.2300    1.00    ->  1.23  Rounded
dqqua1401 quantize  1.2301    1.00    ->  1.24  Inexact Rounded
dqqua1402 quantize  1.2310    1.00    ->  1.24  Inexact Rounded
dqqua1403 quantize  1.2350    1.00    ->  1.24  Inexact Rounded
dqqua1404 quantize  1.2351    1.00    ->  1.24  Inexact Rounded
dqqua1405 quantize  1.2450    1.00    ->  1.25  Inexact Rounded
dqqua1406 quantize  1.2451    1.00    ->  1.25  Inexact Rounded
dqqua1407 quantize  1.2360    1.00    ->  1.24  Inexact Rounded
dqqua1408 quantize  1.2370    1.00    ->  1.24  Inexact Rounded
dqqua1409 quantize  1.2399    1.00    ->  1.24  Inexact Rounded
dqqua1411 quantize -1.2399    1.00    -> -1.24  Inexact Rounded

rounding: down
dqqua1500 quantize  1.2300    1.00    ->  1.23  Rounded
dqqua1501 quantize  1.2301    1.00    ->  1.23  Inexact Rounded
dqqua1502 quantize  1.2310    1.00    ->  1.23  Inexact Rounded
dqqua1503 quantize  1.2350    1.00    ->  1.23  Inexact Rounded
dqqua1504 quantize  1.2351    1.00    ->  1.23  Inexact Rounded
dqqua1505 quantize  1.2450    1.00    ->  1.24  Inexact Rounded
dqqua1506 quantize  1.2451    1.00    ->  1.24  Inexact Rounded
dqqua1507 quantize  1.2360    1.00    ->  1.23  Inexact Rounded
dqqua1508 quantize  1.2370    1.00    ->  1.23  Inexact Rounded
dqqua1509 quantize  1.2399    1.00    ->  1.23  Inexact Rounded
dqqua1511 quantize -1.2399    1.00    -> -1.23  Inexact Rounded

rounding: ceiling
dqqua1600 quantize  1.2300    1.00    ->  1.23  Rounded
dqqua1601 quantize  1.2301    1.00    ->  1.24  Inexact Rounded
dqqua1602 quantize  1.2310    1.00    ->  1.24  Inexact Rounded
dqqua1603 quantize  1.2350    1.00    ->  1.24  Inexact Rounded
dqqua1604 quantize  1.2351    1.00    ->  1.24  Inexact Rounded
dqqua1605 quantize  1.2450    1.00    ->  1.25  Inexact Rounded
dqqua1606 quantize  1.2451    1.00    ->  1.25  Inexact Rounded
dqqua1607 quantize  1.2360    1.00    ->  1.24  Inexact Rounded
dqqua1608 quantize  1.2370    1.00    ->  1.24  Inexact Rounded
dqqua1609 quantize  1.2399    1.00    ->  1.24  Inexact Rounded
dqqua1611 quantize -1.2399    1.00    -> -1.23  Inexact Rounded

rounding: floor
dqqua1700 quantize  1.2300    1.00    ->  1.23  Rounded
dqqua1701 quantize  1.2301    1.00    ->  1.23  Inexact Rounded
dqqua1702 quantize  1.2310    1.00    ->  1.23  Inexact Rounded
dqqua1703 quantize  1.2350    1.00    ->  1.23  Inexact Rounded
dqqua1704 quantize  1.2351    1.00    ->  1.23  Inexact Rounded
dqqua1705 quantize  1.2450    1.00    ->  1.24  Inexact Rounded
dqqua1706 quantize  1.2451    1.00    ->  1.24  Inexact Rounded
dqqua1707 quantize  1.2360    1.00    ->  1.23  Inexact Rounded
dqqua1708 quantize  1.2370    1.00    ->  1.23  Inexact Rounded
dqqua1709 quantize  1.2399    1.00    ->  1.23  Inexact Rounded
dqqua1711 quantize -1.2399    1.00    -> -1.24  Inexact Rounded

rounding: 05up
dqqua1800 quantize  1.2000    1.00    ->  1.20  Rounded
dqqua1801 quantize  1.2001    1.00    ->  1.21  Inexact Rounded
dqqua1802 quantize  1.2010    1.00    ->  1.21  Inexact Rounded
dqqua1803 quantize  1.2050    1.00    ->  1.21  Inexact Rounded
dqqua1804 quantize  1.2051    1.00    ->  1.21  Inexact Rounded
dqqua1807 quantize  1.2060    1.00    ->  1.21  Inexact Rounded
dqqua1808 quantize  1.2070    1.00    ->  1.21  Inexact Rounded
dqqua1809 quantize  1.2099    1.00    ->  1.21  Inexact Rounded
dqqua1811 quantize -1.2099    1.00    -> -1.21  Inexact Rounded

dqqua1900 quantize  1.2100    1.00    ->  1.21  Rounded
dqqua1901 quantize  1.2101    1.00    ->  1.21  Inexact Rounded
dqqua1902 quantize  1.2110    1.00    ->  1.21  Inexact Rounded
dqqua1903 quantize  1.2150    1.00    ->  1.21  Inexact Rounded
dqqua1904 quantize  1.2151    1.00    ->  1.21  Inexact Rounded
dqqua1907 quantize  1.2160    1.00    ->  1.21  Inexact Rounded
dqqua1908 quantize  1.2170    1.00    ->  1.21  Inexact Rounded
dqqua1909 quantize  1.2199    1.00    ->  1.21  Inexact Rounded
dqqua1911 quantize -1.2199    1.00    -> -1.21  Inexact Rounded

dqqua2000 quantize  1.2400    1.00    ->  1.24  Rounded
dqqua2001 quantize  1.2401    1.00    ->  1.24  Inexact Rounded
dqqua2002 quantize  1.2410    1.00    ->  1.24  Inexact Rounded
dqqua2003 quantize  1.2450    1.00    ->  1.24  Inexact Rounded
dqqua2004 quantize  1.2451    1.00    ->  1.24  Inexact Rounded
dqqua2007 quantize  1.2460    1.00    ->  1.24  Inexact Rounded
dqqua2008 quantize  1.2470    1.00    ->  1.24  Inexact Rounded
dqqua2009 quantize  1.2499    1.00    ->  1.24  Inexact Rounded
dqqua2011 quantize -1.2499    1.00    -> -1.24  Inexact Rounded

dqqua2100 quantize  1.2500    1.00    ->  1.25  Rounded
dqqua2101 quantize  1.2501    1.00    ->  1.26  Inexact Rounded
dqqua2102 quantize  1.2510    1.00    ->  1.26  Inexact Rounded
dqqua2103 quantize  1.2550    1.00    ->  1.26  Inexact Rounded
dqqua2104 quantize  1.2551    1.00    ->  1.26  Inexact Rounded
dqqua2107 quantize  1.2560    1.00    ->  1.26  Inexact Rounded
dqqua2108 quantize  1.2570    1.00    ->  1.26  Inexact Rounded
dqqua2109 quantize  1.2599    1.00    ->  1.26  Inexact Rounded
dqqua2111 quantize -1.2599    1.00    -> -1.26  Inexact Rounded

dqqua2200 quantize  1.2600    1.00    ->  1.26  Rounded
dqqua2201 quantize  1.2601    1.00    ->  1.26  Inexact Rounded
dqqua2202 quantize  1.2610    1.00    ->  1.26  Inexact Rounded
dqqua2203 quantize  1.2650    1.00    ->  1.26  Inexact Rounded
dqqua2204 quantize  1.2651    1.00    ->  1.26  Inexact Rounded
dqqua2207 quantize  1.2660    1.00    ->  1.26  Inexact Rounded
dqqua2208 quantize  1.2670    1.00    ->  1.26  Inexact Rounded
dqqua2209 quantize  1.2699    1.00    ->  1.26  Inexact Rounded
dqqua2211 quantize -1.2699    1.00    -> -1.26  Inexact Rounded

dqqua2300 quantize  1.2900    1.00    ->  1.29  Rounded
dqqua2301 quantize  1.2901    1.00    ->  1.29  Inexact Rounded
dqqua2302 quantize  1.2910    1.00    ->  1.29  Inexact Rounded
dqqua2303 quantize  1.2950    1.00    ->  1.29  Inexact Rounded
dqqua2304 quantize  1.2951    1.00    ->  1.29  Inexact Rounded
dqqua2307 quantize  1.2960    1.00    ->  1.29  Inexact Rounded
dqqua2308 quantize  1.2970    1.00    ->  1.29  Inexact Rounded
dqqua2309 quantize  1.2999    1.00    ->  1.29  Inexact Rounded
dqqua2311 quantize -1.2999    1.00    -> -1.29  Inexact Rounded

-- Null tests
dqqua998 quantize 10    # -> NaN Invalid_operation
dqqua999 quantize  # 1e10 -> NaN Invalid_operation