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cpython/Lib/test/decimaltestdata/quantize.decTest

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------------------------------------------------------------------------
-- quantize.decTest -- decimal quantize operation --
-- Copyright (c) IBM Corporation, 1981, 2004. 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: 2.39
-- Most of the tests here assume a "regular pattern", where the
-- sign and coefficient are +1.
-- 2004.03.15 Underflow for quantize is suppressed
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
quax127 quantize 1.05 1e0 -> 1 Inexact Rounded
quax128 quantize 1.05 1e-3 -> 1.050
quax129 quantize 1.05 1e-2 -> 1.05
quax130 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
-- 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
-- Null tests
quax900 quantize 10 # -> NaN Invalid_operation
quax901 quantize # 1e10 -> NaN Invalid_operation
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