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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