1 ------------------------------------------------------------------------ 2 -- quantize.decTest -- decimal quantize operation -- 3 -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- 4 ------------------------------------------------------------------------ 5 -- Please see the document "General Decimal Arithmetic Testcases" -- 6 -- at http://www2.hursley.ibm.com/decimal for the description of -- 7 -- these testcases. -- 8 -- -- 9 -- These testcases are experimental ('beta' versions), and they -- 10 -- may contain errors. They are offered on an as-is basis. In -- 11 -- particular, achieving the same results as the tests here is not -- 12 -- a guarantee that an implementation complies with any Standard -- 13 -- or specification. The tests are not exhaustive. -- 14 -- -- 15 -- Please send comments, suggestions, and corrections to the author: -- 16 -- Mike Cowlishaw, IBM Fellow -- 17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- 18 -- mfc@uk.ibm.com -- 19 ------------------------------------------------------------------------ 20 version: 2.59 21 22 -- Most of the tests here assume a "regular pattern", where the 23 -- sign and coefficient are +1. 24 -- 2004.03.15 Underflow for quantize is suppressed 25 -- 2005.06.08 More extensive tests for 'does not fit' 26 27 extended: 1 28 precision: 9 29 rounding: half_up 30 maxExponent: 999 31 minexponent: -999 32 33 -- sanity checks 34 quax001 quantize 0 1e0 -> 0 35 quax002 quantize 1 1e0 -> 1 36 quax003 quantize 0.1 1e+2 -> 0E+2 Inexact Rounded 37 quax005 quantize 0.1 1e+1 -> 0E+1 Inexact Rounded 38 quax006 quantize 0.1 1e0 -> 0 Inexact Rounded 39 quax007 quantize 0.1 1e-1 -> 0.1 40 quax008 quantize 0.1 1e-2 -> 0.10 41 quax009 quantize 0.1 1e-3 -> 0.100 42 quax010 quantize 0.9 1e+2 -> 0E+2 Inexact Rounded 43 quax011 quantize 0.9 1e+1 -> 0E+1 Inexact Rounded 44 quax012 quantize 0.9 1e+0 -> 1 Inexact Rounded 45 quax013 quantize 0.9 1e-1 -> 0.9 46 quax014 quantize 0.9 1e-2 -> 0.90 47 quax015 quantize 0.9 1e-3 -> 0.900 48 -- negatives 49 quax021 quantize -0 1e0 -> -0 50 quax022 quantize -1 1e0 -> -1 51 quax023 quantize -0.1 1e+2 -> -0E+2 Inexact Rounded 52 quax025 quantize -0.1 1e+1 -> -0E+1 Inexact Rounded 53 quax026 quantize -0.1 1e0 -> -0 Inexact Rounded 54 quax027 quantize -0.1 1e-1 -> -0.1 55 quax028 quantize -0.1 1e-2 -> -0.10 56 quax029 quantize -0.1 1e-3 -> -0.100 57 quax030 quantize -0.9 1e+2 -> -0E+2 Inexact Rounded 58 quax031 quantize -0.9 1e+1 -> -0E+1 Inexact Rounded 59 quax032 quantize -0.9 1e+0 -> -1 Inexact Rounded 60 quax033 quantize -0.9 1e-1 -> -0.9 61 quax034 quantize -0.9 1e-2 -> -0.90 62 quax035 quantize -0.9 1e-3 -> -0.900 63 quax036 quantize -0.5 1e+2 -> -0E+2 Inexact Rounded 64 quax037 quantize -0.5 1e+1 -> -0E+1 Inexact Rounded 65 quax038 quantize -0.5 1e+0 -> -1 Inexact Rounded 66 quax039 quantize -0.5 1e-1 -> -0.5 67 quax040 quantize -0.5 1e-2 -> -0.50 68 quax041 quantize -0.5 1e-3 -> -0.500 69 quax042 quantize -0.9 1e+2 -> -0E+2 Inexact Rounded 70 quax043 quantize -0.9 1e+1 -> -0E+1 Inexact Rounded 71 quax044 quantize -0.9 1e+0 -> -1 Inexact Rounded 72 quax045 quantize -0.9 1e-1 -> -0.9 73 quax046 quantize -0.9 1e-2 -> -0.90 74 quax047 quantize -0.9 1e-3 -> -0.900 75 76 -- examples from Specification 77 quax060 quantize 2.17 0.001 -> 2.170 78 quax061 quantize 2.17 0.01 -> 2.17 79 quax062 quantize 2.17 0.1 -> 2.2 Inexact Rounded 80 quax063 quantize 2.17 1e+0 -> 2 Inexact Rounded 81 quax064 quantize 2.17 1e+1 -> 0E+1 Inexact Rounded 82 quax065 quantize -Inf Inf -> -Infinity 83 quax066 quantize 2 Inf -> NaN Invalid_operation 84 quax067 quantize -0.1 1 -> -0 Inexact Rounded 85 quax068 quantize -0 1e+5 -> -0E+5 86 quax069 quantize +35236450.6 1e-2 -> NaN Invalid_operation 87 quax070 quantize -35236450.6 1e-2 -> NaN Invalid_operation 88 quax071 quantize 217 1e-1 -> 217.0 89 quax072 quantize 217 1e+0 -> 217 90 quax073 quantize 217 1e+1 -> 2.2E+2 Inexact Rounded 91 quax074 quantize 217 1e+2 -> 2E+2 Inexact Rounded 92 93 -- general tests .. 94 quax089 quantize 12 1e+4 -> 0E+4 Inexact Rounded 95 quax090 quantize 12 1e+3 -> 0E+3 Inexact Rounded 96 quax091 quantize 12 1e+2 -> 0E+2 Inexact Rounded 97 quax092 quantize 12 1e+1 -> 1E+1 Inexact Rounded 98 quax093 quantize 1.2345 1e-2 -> 1.23 Inexact Rounded 99 quax094 quantize 1.2355 1e-2 -> 1.24 Inexact Rounded 100 quax095 quantize 1.2345 1e-6 -> 1.234500 101 quax096 quantize 9.9999 1e-2 -> 10.00 Inexact Rounded 102 quax097 quantize 0.0001 1e-2 -> 0.00 Inexact Rounded 103 quax098 quantize 0.001 1e-2 -> 0.00 Inexact Rounded 104 quax099 quantize 0.009 1e-2 -> 0.01 Inexact Rounded 105 quax100 quantize 92 1e+2 -> 1E+2 Inexact Rounded 106 107 quax101 quantize -1 1e0 -> -1 108 quax102 quantize -1 1e-1 -> -1.0 109 quax103 quantize -1 1e-2 -> -1.00 110 quax104 quantize 0 1e0 -> 0 111 quax105 quantize 0 1e-1 -> 0.0 112 quax106 quantize 0 1e-2 -> 0.00 113 quax107 quantize 0.00 1e0 -> 0 114 quax108 quantize 0 1e+1 -> 0E+1 115 quax109 quantize 0 1e+2 -> 0E+2 116 quax110 quantize +1 1e0 -> 1 117 quax111 quantize +1 1e-1 -> 1.0 118 quax112 quantize +1 1e-2 -> 1.00 119 120 quax120 quantize 1.04 1e-3 -> 1.040 121 quax121 quantize 1.04 1e-2 -> 1.04 122 quax122 quantize 1.04 1e-1 -> 1.0 Inexact Rounded 123 quax123 quantize 1.04 1e0 -> 1 Inexact Rounded 124 quax124 quantize 1.05 1e-3 -> 1.050 125 quax125 quantize 1.05 1e-2 -> 1.05 126 quax126 quantize 1.05 1e-1 -> 1.1 Inexact Rounded 127 quax131 quantize 1.05 1e0 -> 1 Inexact Rounded 128 quax132 quantize 1.06 1e-3 -> 1.060 129 quax133 quantize 1.06 1e-2 -> 1.06 130 quax134 quantize 1.06 1e-1 -> 1.1 Inexact Rounded 131 quax135 quantize 1.06 1e0 -> 1 Inexact Rounded 132 133 quax140 quantize -10 1e-2 -> -10.00 134 quax141 quantize +1 1e-2 -> 1.00 135 quax142 quantize +10 1e-2 -> 10.00 136 quax143 quantize 1E+10 1e-2 -> NaN Invalid_operation 137 quax144 quantize 1E-10 1e-2 -> 0.00 Inexact Rounded 138 quax145 quantize 1E-3 1e-2 -> 0.00 Inexact Rounded 139 quax146 quantize 1E-2 1e-2 -> 0.01 140 quax147 quantize 1E-1 1e-2 -> 0.10 141 quax148 quantize 0E-10 1e-2 -> 0.00 142 143 quax150 quantize 1.0600 1e-5 -> 1.06000 144 quax151 quantize 1.0600 1e-4 -> 1.0600 145 quax152 quantize 1.0600 1e-3 -> 1.060 Rounded 146 quax153 quantize 1.0600 1e-2 -> 1.06 Rounded 147 quax154 quantize 1.0600 1e-1 -> 1.1 Inexact Rounded 148 quax155 quantize 1.0600 1e0 -> 1 Inexact Rounded 149 150 -- base tests with non-1 coefficients 151 quax161 quantize 0 -9e0 -> 0 152 quax162 quantize 1 -7e0 -> 1 153 quax163 quantize 0.1 -1e+2 -> 0E+2 Inexact Rounded 154 quax165 quantize 0.1 0e+1 -> 0E+1 Inexact Rounded 155 quax166 quantize 0.1 2e0 -> 0 Inexact Rounded 156 quax167 quantize 0.1 3e-1 -> 0.1 157 quax168 quantize 0.1 44e-2 -> 0.10 158 quax169 quantize 0.1 555e-3 -> 0.100 159 quax170 quantize 0.9 6666e+2 -> 0E+2 Inexact Rounded 160 quax171 quantize 0.9 -777e+1 -> 0E+1 Inexact Rounded 161 quax172 quantize 0.9 -88e+0 -> 1 Inexact Rounded 162 quax173 quantize 0.9 -9e-1 -> 0.9 163 quax174 quantize 0.9 0e-2 -> 0.90 164 quax175 quantize 0.9 1.1e-3 -> 0.9000 165 -- negatives 166 quax181 quantize -0 1.1e0 -> -0.0 167 quax182 quantize -1 -1e0 -> -1 168 quax183 quantize -0.1 11e+2 -> -0E+2 Inexact Rounded 169 quax185 quantize -0.1 111e+1 -> -0E+1 Inexact Rounded 170 quax186 quantize -0.1 71e0 -> -0 Inexact Rounded 171 quax187 quantize -0.1 -91e-1 -> -0.1 172 quax188 quantize -0.1 -.1e-2 -> -0.100 173 quax189 quantize -0.1 -1e-3 -> -0.100 174 quax190 quantize -0.9 0e+2 -> -0E+2 Inexact Rounded 175 quax191 quantize -0.9 -0e+1 -> -0E+1 Inexact Rounded 176 quax192 quantize -0.9 -10e+0 -> -1 Inexact Rounded 177 quax193 quantize -0.9 100e-1 -> -0.9 178 quax194 quantize -0.9 999e-2 -> -0.90 179 180 -- +ve exponents .. 181 quax201 quantize -1 1e+0 -> -1 182 quax202 quantize -1 1e+1 -> -0E+1 Inexact Rounded 183 quax203 quantize -1 1e+2 -> -0E+2 Inexact Rounded 184 quax204 quantize 0 1e+0 -> 0 185 quax205 quantize 0 1e+1 -> 0E+1 186 quax206 quantize 0 1e+2 -> 0E+2 187 quax207 quantize +1 1e+0 -> 1 188 quax208 quantize +1 1e+1 -> 0E+1 Inexact Rounded 189 quax209 quantize +1 1e+2 -> 0E+2 Inexact Rounded 190 191 quax220 quantize 1.04 1e+3 -> 0E+3 Inexact Rounded 192 quax221 quantize 1.04 1e+2 -> 0E+2 Inexact Rounded 193 quax222 quantize 1.04 1e+1 -> 0E+1 Inexact Rounded 194 quax223 quantize 1.04 1e+0 -> 1 Inexact Rounded 195 quax224 quantize 1.05 1e+3 -> 0E+3 Inexact Rounded 196 quax225 quantize 1.05 1e+2 -> 0E+2 Inexact Rounded 197 quax226 quantize 1.05 1e+1 -> 0E+1 Inexact Rounded 198 quax227 quantize 1.05 1e+0 -> 1 Inexact Rounded 199 quax228 quantize 1.05 1e+3 -> 0E+3 Inexact Rounded 200 quax229 quantize 1.05 1e+2 -> 0E+2 Inexact Rounded 201 quax230 quantize 1.05 1e+1 -> 0E+1 Inexact Rounded 202 quax231 quantize 1.05 1e+0 -> 1 Inexact Rounded 203 quax232 quantize 1.06 1e+3 -> 0E+3 Inexact Rounded 204 quax233 quantize 1.06 1e+2 -> 0E+2 Inexact Rounded 205 quax234 quantize 1.06 1e+1 -> 0E+1 Inexact Rounded 206 quax235 quantize 1.06 1e+0 -> 1 Inexact Rounded 207 208 quax240 quantize -10 1e+1 -> -1E+1 Rounded 209 quax241 quantize +1 1e+1 -> 0E+1 Inexact Rounded 210 quax242 quantize +10 1e+1 -> 1E+1 Rounded 211 quax243 quantize 1E+1 1e+1 -> 1E+1 -- underneath this is E+1 212 quax244 quantize 1E+2 1e+1 -> 1.0E+2 -- underneath this is E+1 213 quax245 quantize 1E+3 1e+1 -> 1.00E+3 -- underneath this is E+1 214 quax246 quantize 1E+4 1e+1 -> 1.000E+4 -- underneath this is E+1 215 quax247 quantize 1E+5 1e+1 -> 1.0000E+5 -- underneath this is E+1 216 quax248 quantize 1E+6 1e+1 -> 1.00000E+6 -- underneath this is E+1 217 quax249 quantize 1E+7 1e+1 -> 1.000000E+7 -- underneath this is E+1 218 quax250 quantize 1E+8 1e+1 -> 1.0000000E+8 -- underneath this is E+1 219 quax251 quantize 1E+9 1e+1 -> 1.00000000E+9 -- underneath this is E+1 220 -- next one tries to add 9 zeros 221 quax252 quantize 1E+10 1e+1 -> NaN Invalid_operation 222 quax253 quantize 1E-10 1e+1 -> 0E+1 Inexact Rounded 223 quax254 quantize 1E-2 1e+1 -> 0E+1 Inexact Rounded 224 quax255 quantize 0E-10 1e+1 -> 0E+1 225 quax256 quantize -0E-10 1e+1 -> -0E+1 226 quax257 quantize -0E-1 1e+1 -> -0E+1 227 quax258 quantize -0 1e+1 -> -0E+1 228 quax259 quantize -0E+1 1e+1 -> -0E+1 229 230 quax260 quantize -10 1e+2 -> -0E+2 Inexact Rounded 231 quax261 quantize +1 1e+2 -> 0E+2 Inexact Rounded 232 quax262 quantize +10 1e+2 -> 0E+2 Inexact Rounded 233 quax263 quantize 1E+1 1e+2 -> 0E+2 Inexact Rounded 234 quax264 quantize 1E+2 1e+2 -> 1E+2 235 quax265 quantize 1E+3 1e+2 -> 1.0E+3 236 quax266 quantize 1E+4 1e+2 -> 1.00E+4 237 quax267 quantize 1E+5 1e+2 -> 1.000E+5 238 quax268 quantize 1E+6 1e+2 -> 1.0000E+6 239 quax269 quantize 1E+7 1e+2 -> 1.00000E+7 240 quax270 quantize 1E+8 1e+2 -> 1.000000E+8 241 quax271 quantize 1E+9 1e+2 -> 1.0000000E+9 242 quax272 quantize 1E+10 1e+2 -> 1.00000000E+10 243 quax273 quantize 1E-10 1e+2 -> 0E+2 Inexact Rounded 244 quax274 quantize 1E-2 1e+2 -> 0E+2 Inexact Rounded 245 quax275 quantize 0E-10 1e+2 -> 0E+2 246 247 quax280 quantize -10 1e+3 -> -0E+3 Inexact Rounded 248 quax281 quantize +1 1e+3 -> 0E+3 Inexact Rounded 249 quax282 quantize +10 1e+3 -> 0E+3 Inexact Rounded 250 quax283 quantize 1E+1 1e+3 -> 0E+3 Inexact Rounded 251 quax284 quantize 1E+2 1e+3 -> 0E+3 Inexact Rounded 252 quax285 quantize 1E+3 1e+3 -> 1E+3 253 quax286 quantize 1E+4 1e+3 -> 1.0E+4 254 quax287 quantize 1E+5 1e+3 -> 1.00E+5 255 quax288 quantize 1E+6 1e+3 -> 1.000E+6 256 quax289 quantize 1E+7 1e+3 -> 1.0000E+7 257 quax290 quantize 1E+8 1e+3 -> 1.00000E+8 258 quax291 quantize 1E+9 1e+3 -> 1.000000E+9 259 quax292 quantize 1E+10 1e+3 -> 1.0000000E+10 260 quax293 quantize 1E-10 1e+3 -> 0E+3 Inexact Rounded 261 quax294 quantize 1E-2 1e+3 -> 0E+3 Inexact Rounded 262 quax295 quantize 0E-10 1e+3 -> 0E+3 263 264 -- round up from below [sign wrong in JIT compiler once] 265 quax300 quantize 0.0078 1e-5 -> 0.00780 266 quax301 quantize 0.0078 1e-4 -> 0.0078 267 quax302 quantize 0.0078 1e-3 -> 0.008 Inexact Rounded 268 quax303 quantize 0.0078 1e-2 -> 0.01 Inexact Rounded 269 quax304 quantize 0.0078 1e-1 -> 0.0 Inexact Rounded 270 quax305 quantize 0.0078 1e0 -> 0 Inexact Rounded 271 quax306 quantize 0.0078 1e+1 -> 0E+1 Inexact Rounded 272 quax307 quantize 0.0078 1e+2 -> 0E+2 Inexact Rounded 273 274 quax310 quantize -0.0078 1e-5 -> -0.00780 275 quax311 quantize -0.0078 1e-4 -> -0.0078 276 quax312 quantize -0.0078 1e-3 -> -0.008 Inexact Rounded 277 quax313 quantize -0.0078 1e-2 -> -0.01 Inexact Rounded 278 quax314 quantize -0.0078 1e-1 -> -0.0 Inexact Rounded 279 quax315 quantize -0.0078 1e0 -> -0 Inexact Rounded 280 quax316 quantize -0.0078 1e+1 -> -0E+1 Inexact Rounded 281 quax317 quantize -0.0078 1e+2 -> -0E+2 Inexact Rounded 282 283 quax320 quantize 0.078 1e-5 -> 0.07800 284 quax321 quantize 0.078 1e-4 -> 0.0780 285 quax322 quantize 0.078 1e-3 -> 0.078 286 quax323 quantize 0.078 1e-2 -> 0.08 Inexact Rounded 287 quax324 quantize 0.078 1e-1 -> 0.1 Inexact Rounded 288 quax325 quantize 0.078 1e0 -> 0 Inexact Rounded 289 quax326 quantize 0.078 1e+1 -> 0E+1 Inexact Rounded 290 quax327 quantize 0.078 1e+2 -> 0E+2 Inexact Rounded 291 292 quax330 quantize -0.078 1e-5 -> -0.07800 293 quax331 quantize -0.078 1e-4 -> -0.0780 294 quax332 quantize -0.078 1e-3 -> -0.078 295 quax333 quantize -0.078 1e-2 -> -0.08 Inexact Rounded 296 quax334 quantize -0.078 1e-1 -> -0.1 Inexact Rounded 297 quax335 quantize -0.078 1e0 -> -0 Inexact Rounded 298 quax336 quantize -0.078 1e+1 -> -0E+1 Inexact Rounded 299 quax337 quantize -0.078 1e+2 -> -0E+2 Inexact Rounded 300 301 quax340 quantize 0.78 1e-5 -> 0.78000 302 quax341 quantize 0.78 1e-4 -> 0.7800 303 quax342 quantize 0.78 1e-3 -> 0.780 304 quax343 quantize 0.78 1e-2 -> 0.78 305 quax344 quantize 0.78 1e-1 -> 0.8 Inexact Rounded 306 quax345 quantize 0.78 1e0 -> 1 Inexact Rounded 307 quax346 quantize 0.78 1e+1 -> 0E+1 Inexact Rounded 308 quax347 quantize 0.78 1e+2 -> 0E+2 Inexact Rounded 309 310 quax350 quantize -0.78 1e-5 -> -0.78000 311 quax351 quantize -0.78 1e-4 -> -0.7800 312 quax352 quantize -0.78 1e-3 -> -0.780 313 quax353 quantize -0.78 1e-2 -> -0.78 314 quax354 quantize -0.78 1e-1 -> -0.8 Inexact Rounded 315 quax355 quantize -0.78 1e0 -> -1 Inexact Rounded 316 quax356 quantize -0.78 1e+1 -> -0E+1 Inexact Rounded 317 quax357 quantize -0.78 1e+2 -> -0E+2 Inexact Rounded 318 319 quax360 quantize 7.8 1e-5 -> 7.80000 320 quax361 quantize 7.8 1e-4 -> 7.8000 321 quax362 quantize 7.8 1e-3 -> 7.800 322 quax363 quantize 7.8 1e-2 -> 7.80 323 quax364 quantize 7.8 1e-1 -> 7.8 324 quax365 quantize 7.8 1e0 -> 8 Inexact Rounded 325 quax366 quantize 7.8 1e+1 -> 1E+1 Inexact Rounded 326 quax367 quantize 7.8 1e+2 -> 0E+2 Inexact Rounded 327 quax368 quantize 7.8 1e+3 -> 0E+3 Inexact Rounded 328 329 quax370 quantize -7.8 1e-5 -> -7.80000 330 quax371 quantize -7.8 1e-4 -> -7.8000 331 quax372 quantize -7.8 1e-3 -> -7.800 332 quax373 quantize -7.8 1e-2 -> -7.80 333 quax374 quantize -7.8 1e-1 -> -7.8 334 quax375 quantize -7.8 1e0 -> -8 Inexact Rounded 335 quax376 quantize -7.8 1e+1 -> -1E+1 Inexact Rounded 336 quax377 quantize -7.8 1e+2 -> -0E+2 Inexact Rounded 337 quax378 quantize -7.8 1e+3 -> -0E+3 Inexact Rounded 338 339 -- some individuals 340 precision: 9 341 quax380 quantize 352364.506 1e-2 -> 352364.51 Inexact Rounded 342 quax381 quantize 3523645.06 1e-2 -> 3523645.06 343 quax382 quantize 35236450.6 1e-2 -> NaN Invalid_operation 344 quax383 quantize 352364506 1e-2 -> NaN Invalid_operation 345 quax384 quantize -352364.506 1e-2 -> -352364.51 Inexact Rounded 346 quax385 quantize -3523645.06 1e-2 -> -3523645.06 347 quax386 quantize -35236450.6 1e-2 -> NaN Invalid_operation 348 quax387 quantize -352364506 1e-2 -> NaN Invalid_operation 349 350 rounding: down 351 quax389 quantize 35236450.6 1e-2 -> NaN Invalid_operation 352 -- ? should that one instead have been: 353 -- quax389 quantize 35236450.6 1e-2 -> NaN Invalid_operation 354 rounding: half_up 355 356 -- and a few more from e-mail discussions 357 precision: 7 358 quax391 quantize 12.34567 1e-3 -> 12.346 Inexact Rounded 359 quax392 quantize 123.4567 1e-3 -> 123.457 Inexact Rounded 360 quax393 quantize 1234.567 1e-3 -> 1234.567 361 quax394 quantize 12345.67 1e-3 -> NaN Invalid_operation 362 quax395 quantize 123456.7 1e-3 -> NaN Invalid_operation 363 quax396 quantize 1234567. 1e-3 -> NaN Invalid_operation 364 365 -- some 9999 round-up cases 366 precision: 9 367 quax400 quantize 9.999 1e-5 -> 9.99900 368 quax401 quantize 9.999 1e-4 -> 9.9990 369 quax402 quantize 9.999 1e-3 -> 9.999 370 quax403 quantize 9.999 1e-2 -> 10.00 Inexact Rounded 371 quax404 quantize 9.999 1e-1 -> 10.0 Inexact Rounded 372 quax405 quantize 9.999 1e0 -> 10 Inexact Rounded 373 quax406 quantize 9.999 1e1 -> 1E+1 Inexact Rounded 374 quax407 quantize 9.999 1e2 -> 0E+2 Inexact Rounded 375 376 quax410 quantize 0.999 1e-5 -> 0.99900 377 quax411 quantize 0.999 1e-4 -> 0.9990 378 quax412 quantize 0.999 1e-3 -> 0.999 379 quax413 quantize 0.999 1e-2 -> 1.00 Inexact Rounded 380 quax414 quantize 0.999 1e-1 -> 1.0 Inexact Rounded 381 quax415 quantize 0.999 1e0 -> 1 Inexact Rounded 382 quax416 quantize 0.999 1e1 -> 0E+1 Inexact Rounded 383 384 quax420 quantize 0.0999 1e-5 -> 0.09990 385 quax421 quantize 0.0999 1e-4 -> 0.0999 386 quax422 quantize 0.0999 1e-3 -> 0.100 Inexact Rounded 387 quax423 quantize 0.0999 1e-2 -> 0.10 Inexact Rounded 388 quax424 quantize 0.0999 1e-1 -> 0.1 Inexact Rounded 389 quax425 quantize 0.0999 1e0 -> 0 Inexact Rounded 390 quax426 quantize 0.0999 1e1 -> 0E+1 Inexact Rounded 391 392 quax430 quantize 0.00999 1e-5 -> 0.00999 393 quax431 quantize 0.00999 1e-4 -> 0.0100 Inexact Rounded 394 quax432 quantize 0.00999 1e-3 -> 0.010 Inexact Rounded 395 quax433 quantize 0.00999 1e-2 -> 0.01 Inexact Rounded 396 quax434 quantize 0.00999 1e-1 -> 0.0 Inexact Rounded 397 quax435 quantize 0.00999 1e0 -> 0 Inexact Rounded 398 quax436 quantize 0.00999 1e1 -> 0E+1 Inexact Rounded 399 400 quax440 quantize 0.000999 1e-5 -> 0.00100 Inexact Rounded 401 quax441 quantize 0.000999 1e-4 -> 0.0010 Inexact Rounded 402 quax442 quantize 0.000999 1e-3 -> 0.001 Inexact Rounded 403 quax443 quantize 0.000999 1e-2 -> 0.00 Inexact Rounded 404 quax444 quantize 0.000999 1e-1 -> 0.0 Inexact Rounded 405 quax445 quantize 0.000999 1e0 -> 0 Inexact Rounded 406 quax446 quantize 0.000999 1e1 -> 0E+1 Inexact Rounded 407 408 precision: 8 409 quax449 quantize 9.999E-15 1e-23 -> NaN Invalid_operation 410 quax450 quantize 9.999E-15 1e-22 -> 9.9990000E-15 411 quax451 quantize 9.999E-15 1e-21 -> 9.999000E-15 412 quax452 quantize 9.999E-15 1e-20 -> 9.99900E-15 413 quax453 quantize 9.999E-15 1e-19 -> 9.9990E-15 414 quax454 quantize 9.999E-15 1e-18 -> 9.999E-15 415 quax455 quantize 9.999E-15 1e-17 -> 1.000E-14 Inexact Rounded 416 quax456 quantize 9.999E-15 1e-16 -> 1.00E-14 Inexact Rounded 417 quax457 quantize 9.999E-15 1e-15 -> 1.0E-14 Inexact Rounded 418 quax458 quantize 9.999E-15 1e-14 -> 1E-14 Inexact Rounded 419 quax459 quantize 9.999E-15 1e-13 -> 0E-13 Inexact Rounded 420 quax460 quantize 9.999E-15 1e-12 -> 0E-12 Inexact Rounded 421 quax461 quantize 9.999E-15 1e-11 -> 0E-11 Inexact Rounded 422 quax462 quantize 9.999E-15 1e-10 -> 0E-10 Inexact Rounded 423 quax463 quantize 9.999E-15 1e-9 -> 0E-9 Inexact Rounded 424 quax464 quantize 9.999E-15 1e-8 -> 0E-8 Inexact Rounded 425 quax465 quantize 9.999E-15 1e-7 -> 0E-7 Inexact Rounded 426 quax466 quantize 9.999E-15 1e-6 -> 0.000000 Inexact Rounded 427 quax467 quantize 9.999E-15 1e-5 -> 0.00000 Inexact Rounded 428 quax468 quantize 9.999E-15 1e-4 -> 0.0000 Inexact Rounded 429 quax469 quantize 9.999E-15 1e-3 -> 0.000 Inexact Rounded 430 quax470 quantize 9.999E-15 1e-2 -> 0.00 Inexact Rounded 431 quax471 quantize 9.999E-15 1e-1 -> 0.0 Inexact Rounded 432 quax472 quantize 9.999E-15 1e0 -> 0 Inexact Rounded 433 quax473 quantize 9.999E-15 1e1 -> 0E+1 Inexact Rounded 434 435 precision: 7 436 quax900 quantize 9.999E-15 1e-22 -> NaN Invalid_operation 437 quax901 quantize 9.999E-15 1e-21 -> 9.999000E-15 438 quax902 quantize 9.999E-15 1e-20 -> 9.99900E-15 439 quax903 quantize 9.999E-15 1e-19 -> 9.9990E-15 440 quax904 quantize 9.999E-15 1e-18 -> 9.999E-15 441 quax905 quantize 9.999E-15 1e-17 -> 1.000E-14 Inexact Rounded 442 quax906 quantize 9.999E-15 1e-16 -> 1.00E-14 Inexact Rounded 443 quax907 quantize 9.999E-15 1e-15 -> 1.0E-14 Inexact Rounded 444 quax908 quantize 9.999E-15 1e-14 -> 1E-14 Inexact Rounded 445 quax909 quantize 9.999E-15 1e-13 -> 0E-13 Inexact Rounded 446 quax910 quantize 9.999E-15 1e-12 -> 0E-12 Inexact Rounded 447 quax911 quantize 9.999E-15 1e-11 -> 0E-11 Inexact Rounded 448 quax912 quantize 9.999E-15 1e-10 -> 0E-10 Inexact Rounded 449 quax913 quantize 9.999E-15 1e-9 -> 0E-9 Inexact Rounded 450 quax914 quantize 9.999E-15 1e-8 -> 0E-8 Inexact Rounded 451 quax915 quantize 9.999E-15 1e-7 -> 0E-7 Inexact Rounded 452 quax916 quantize 9.999E-15 1e-6 -> 0.000000 Inexact Rounded 453 quax917 quantize 9.999E-15 1e-5 -> 0.00000 Inexact Rounded 454 quax918 quantize 9.999E-15 1e-4 -> 0.0000 Inexact Rounded 455 quax919 quantize 9.999E-15 1e-3 -> 0.000 Inexact Rounded 456 quax920 quantize 9.999E-15 1e-2 -> 0.00 Inexact Rounded 457 quax921 quantize 9.999E-15 1e-1 -> 0.0 Inexact Rounded 458 quax922 quantize 9.999E-15 1e0 -> 0 Inexact Rounded 459 quax923 quantize 9.999E-15 1e1 -> 0E+1 Inexact Rounded 460 461 precision: 6 462 quax930 quantize 9.999E-15 1e-22 -> NaN Invalid_operation 463 quax931 quantize 9.999E-15 1e-21 -> NaN Invalid_operation 464 quax932 quantize 9.999E-15 1e-20 -> 9.99900E-15 465 quax933 quantize 9.999E-15 1e-19 -> 9.9990E-15 466 quax934 quantize 9.999E-15 1e-18 -> 9.999E-15 467 quax935 quantize 9.999E-15 1e-17 -> 1.000E-14 Inexact Rounded 468 quax936 quantize 9.999E-15 1e-16 -> 1.00E-14 Inexact Rounded 469 quax937 quantize 9.999E-15 1e-15 -> 1.0E-14 Inexact Rounded 470 quax938 quantize 9.999E-15 1e-14 -> 1E-14 Inexact Rounded 471 quax939 quantize 9.999E-15 1e-13 -> 0E-13 Inexact Rounded 472 quax940 quantize 9.999E-15 1e-12 -> 0E-12 Inexact Rounded 473 quax941 quantize 9.999E-15 1e-11 -> 0E-11 Inexact Rounded 474 quax942 quantize 9.999E-15 1e-10 -> 0E-10 Inexact Rounded 475 quax943 quantize 9.999E-15 1e-9 -> 0E-9 Inexact Rounded 476 quax944 quantize 9.999E-15 1e-8 -> 0E-8 Inexact Rounded 477 quax945 quantize 9.999E-15 1e-7 -> 0E-7 Inexact Rounded 478 quax946 quantize 9.999E-15 1e-6 -> 0.000000 Inexact Rounded 479 quax947 quantize 9.999E-15 1e-5 -> 0.00000 Inexact Rounded 480 quax948 quantize 9.999E-15 1e-4 -> 0.0000 Inexact Rounded 481 quax949 quantize 9.999E-15 1e-3 -> 0.000 Inexact Rounded 482 quax950 quantize 9.999E-15 1e-2 -> 0.00 Inexact Rounded 483 quax951 quantize 9.999E-15 1e-1 -> 0.0 Inexact Rounded 484 quax952 quantize 9.999E-15 1e0 -> 0 Inexact Rounded 485 quax953 quantize 9.999E-15 1e1 -> 0E+1 Inexact Rounded 486 487 precision: 3 488 quax960 quantize 9.999E-15 1e-22 -> NaN Invalid_operation 489 quax961 quantize 9.999E-15 1e-21 -> NaN Invalid_operation 490 quax962 quantize 9.999E-15 1e-20 -> NaN Invalid_operation 491 quax963 quantize 9.999E-15 1e-19 -> NaN Invalid_operation 492 quax964 quantize 9.999E-15 1e-18 -> NaN Invalid_operation 493 quax965 quantize 9.999E-15 1e-17 -> NaN Invalid_operation 494 quax966 quantize 9.999E-15 1e-16 -> 1.00E-14 Inexact Rounded 495 quax967 quantize 9.999E-15 1e-15 -> 1.0E-14 Inexact Rounded 496 quax968 quantize 9.999E-15 1e-14 -> 1E-14 Inexact Rounded 497 quax969 quantize 9.999E-15 1e-13 -> 0E-13 Inexact Rounded 498 quax970 quantize 9.999E-15 1e-12 -> 0E-12 Inexact Rounded 499 quax971 quantize 9.999E-15 1e-11 -> 0E-11 Inexact Rounded 500 quax972 quantize 9.999E-15 1e-10 -> 0E-10 Inexact Rounded 501 quax973 quantize 9.999E-15 1e-9 -> 0E-9 Inexact Rounded 502 quax974 quantize 9.999E-15 1e-8 -> 0E-8 Inexact Rounded 503 quax975 quantize 9.999E-15 1e-7 -> 0E-7 Inexact Rounded 504 quax976 quantize 9.999E-15 1e-6 -> 0.000000 Inexact Rounded 505 quax977 quantize 9.999E-15 1e-5 -> 0.00000 Inexact Rounded 506 quax978 quantize 9.999E-15 1e-4 -> 0.0000 Inexact Rounded 507 quax979 quantize 9.999E-15 1e-3 -> 0.000 Inexact Rounded 508 quax980 quantize 9.999E-15 1e-2 -> 0.00 Inexact Rounded 509 quax981 quantize 9.999E-15 1e-1 -> 0.0 Inexact Rounded 510 quax982 quantize 9.999E-15 1e0 -> 0 Inexact Rounded 511 quax983 quantize 9.999E-15 1e1 -> 0E+1 Inexact Rounded 512 513 -- Fung Lee's case & similar 514 precision: 3 515 quax1001 quantize 0.000 0.001 -> 0.000 516 quax1002 quantize 0.001 0.001 -> 0.001 517 quax1003 quantize 0.0012 0.001 -> 0.001 Inexact Rounded 518 quax1004 quantize 0.0018 0.001 -> 0.002 Inexact Rounded 519 quax1005 quantize 0.501 0.001 -> 0.501 520 quax1006 quantize 0.5012 0.001 -> 0.501 Inexact Rounded 521 quax1007 quantize 0.5018 0.001 -> 0.502 Inexact Rounded 522 quax1008 quantize 0.999 0.001 -> 0.999 523 quax1009 quantize 0.9992 0.001 -> 0.999 Inexact Rounded 524 quax1010 quantize 0.9998 0.001 -> NaN Invalid_operation 525 quax1011 quantize 1.0001 0.001 -> NaN Invalid_operation 526 quax1012 quantize 1.0051 0.001 -> NaN Invalid_operation 527 quax1013 quantize 1.0551 0.001 -> NaN Invalid_operation 528 quax1014 quantize 1.5551 0.001 -> NaN Invalid_operation 529 quax1015 quantize 1.9999 0.001 -> NaN Invalid_operation 530 531 -- long operand checks [rhs checks removed] 532 maxexponent: 999 533 minexponent: -999 534 precision: 9 535 quax481 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded 536 quax482 quantize 1234567800 1e+1 -> 1.23456780E+9 Rounded 537 quax483 quantize 1234567890 1e+1 -> 1.23456789E+9 Rounded 538 quax484 quantize 1234567891 1e+1 -> 1.23456789E+9 Inexact Rounded 539 quax485 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded 540 quax486 quantize 1234567896 1e+1 -> 1.23456790E+9 Inexact Rounded 541 -- a potential double-round 542 quax487 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded 543 quax488 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded 544 545 precision: 15 546 quax491 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded 547 quax492 quantize 1234567800 1e+1 -> 1.23456780E+9 Rounded 548 quax493 quantize 1234567890 1e+1 -> 1.23456789E+9 Rounded 549 quax494 quantize 1234567891 1e+1 -> 1.23456789E+9 Inexact Rounded 550 quax495 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded 551 quax496 quantize 1234567896 1e+1 -> 1.23456790E+9 Inexact Rounded 552 quax497 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded 553 quax498 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded 554 555 -- Zeros 556 quax500 quantize 0 1e1 -> 0E+1 557 quax501 quantize 0 1e0 -> 0 558 quax502 quantize 0 1e-1 -> 0.0 559 quax503 quantize 0.0 1e-1 -> 0.0 560 quax504 quantize 0.0 1e0 -> 0 561 quax505 quantize 0.0 1e+1 -> 0E+1 562 quax506 quantize 0E+1 1e-1 -> 0.0 563 quax507 quantize 0E+1 1e0 -> 0 564 quax508 quantize 0E+1 1e+1 -> 0E+1 565 quax509 quantize -0 1e1 -> -0E+1 566 quax510 quantize -0 1e0 -> -0 567 quax511 quantize -0 1e-1 -> -0.0 568 quax512 quantize -0.0 1e-1 -> -0.0 569 quax513 quantize -0.0 1e0 -> -0 570 quax514 quantize -0.0 1e+1 -> -0E+1 571 quax515 quantize -0E+1 1e-1 -> -0.0 572 quax516 quantize -0E+1 1e0 -> -0 573 quax517 quantize -0E+1 1e+1 -> -0E+1 574 575 -- Suspicious RHS values 576 maxexponent: 999999999 577 minexponent: -999999999 578 precision: 15 579 quax520 quantize 1.234 1e999999000 -> 0E+999999000 Inexact Rounded 580 quax521 quantize 123.456 1e999999000 -> 0E+999999000 Inexact Rounded 581 quax522 quantize 1.234 1e999999999 -> 0E+999999999 Inexact Rounded 582 quax523 quantize 123.456 1e999999999 -> 0E+999999999 Inexact Rounded 583 quax524 quantize 123.456 1e1000000000 -> NaN Invalid_operation 584 quax525 quantize 123.456 1e12345678903 -> NaN Invalid_operation 585 -- next four are "won't fit" overflows 586 quax526 quantize 1.234 1e-999999000 -> NaN Invalid_operation 587 quax527 quantize 123.456 1e-999999000 -> NaN Invalid_operation 588 quax528 quantize 1.234 1e-999999999 -> NaN Invalid_operation 589 quax529 quantize 123.456 1e-999999999 -> NaN Invalid_operation 590 quax530 quantize 123.456 1e-1000000014 -> NaN Invalid_operation 591 quax531 quantize 123.456 1e-12345678903 -> NaN Invalid_operation 592 593 maxexponent: 999 594 minexponent: -999 595 precision: 15 596 quax532 quantize 1.234E+999 1e999 -> 1E+999 Inexact Rounded 597 quax533 quantize 1.234E+998 1e999 -> 0E+999 Inexact Rounded 598 quax534 quantize 1.234 1e999 -> 0E+999 Inexact Rounded 599 quax535 quantize 1.234 1e1000 -> NaN Invalid_operation 600 quax536 quantize 1.234 1e5000 -> NaN Invalid_operation 601 quax537 quantize 0 1e-999 -> 0E-999 602 -- next two are "won't fit" overflows 603 quax538 quantize 1.234 1e-999 -> NaN Invalid_operation 604 quax539 quantize 1.234 1e-1000 -> NaN Invalid_operation 605 quax540 quantize 1.234 1e-5000 -> NaN Invalid_operation 606 -- [more below] 607 608 -- check bounds (lhs maybe out of range for destination, etc.) 609 precision: 7 610 quax541 quantize 1E+999 1e+999 -> 1E+999 611 quax542 quantize 1E+1000 1e+999 -> NaN Invalid_operation 612 quax543 quantize 1E+999 1e+1000 -> NaN Invalid_operation 613 quax544 quantize 1E-999 1e-999 -> 1E-999 614 quax545 quantize 1E-1000 1e-999 -> 0E-999 Inexact Rounded 615 quax546 quantize 1E-999 1e-1000 -> 1.0E-999 616 quax547 quantize 1E-1005 1e-999 -> 0E-999 Inexact Rounded 617 quax548 quantize 1E-1006 1e-999 -> 0E-999 Inexact Rounded 618 quax549 quantize 1E-1007 1e-999 -> 0E-999 Inexact Rounded 619 quax550 quantize 1E-998 1e-1005 -> NaN Invalid_operation -- won't fit 620 quax551 quantize 1E-999 1e-1005 -> 1.000000E-999 621 quax552 quantize 1E-1000 1e-1005 -> 1.00000E-1000 Subnormal 622 quax553 quantize 1E-999 1e-1006 -> NaN Invalid_operation 623 quax554 quantize 1E-999 1e-1007 -> NaN Invalid_operation 624 -- related subnormal rounding 625 quax555 quantize 1.666666E-999 1e-1005 -> 1.666666E-999 626 quax556 quantize 1.666666E-1000 1e-1005 -> 1.66667E-1000 Subnormal Inexact Rounded 627 quax557 quantize 1.666666E-1001 1e-1005 -> 1.6667E-1001 Subnormal Inexact Rounded 628 quax558 quantize 1.666666E-1002 1e-1005 -> 1.667E-1002 Subnormal Inexact Rounded 629 quax559 quantize 1.666666E-1003 1e-1005 -> 1.67E-1003 Subnormal Inexact Rounded 630 quax560 quantize 1.666666E-1004 1e-1005 -> 1.7E-1004 Subnormal Inexact Rounded 631 quax561 quantize 1.666666E-1005 1e-1005 -> 2E-1005 Subnormal Inexact Rounded 632 quax562 quantize 1.666666E-1006 1e-1005 -> 0E-1005 Inexact Rounded 633 quax563 quantize 1.666666E-1007 1e-1005 -> 0E-1005 Inexact Rounded 634 635 -- Specials 636 quax580 quantize Inf -Inf -> Infinity 637 quax581 quantize Inf 1e-1000 -> NaN Invalid_operation 638 quax582 quantize Inf 1e-1 -> NaN Invalid_operation 639 quax583 quantize Inf 1e0 -> NaN Invalid_operation 640 quax584 quantize Inf 1e1 -> NaN Invalid_operation 641 quax585 quantize Inf 1e1000 -> NaN Invalid_operation 642 quax586 quantize Inf Inf -> Infinity 643 quax587 quantize -1000 Inf -> NaN Invalid_operation 644 quax588 quantize -Inf Inf -> -Infinity 645 quax589 quantize -1 Inf -> NaN Invalid_operation 646 quax590 quantize 0 Inf -> NaN Invalid_operation 647 quax591 quantize 1 Inf -> NaN Invalid_operation 648 quax592 quantize 1000 Inf -> NaN Invalid_operation 649 quax593 quantize Inf Inf -> Infinity 650 quax594 quantize Inf 1e-0 -> NaN Invalid_operation 651 quax595 quantize -0 Inf -> NaN Invalid_operation 652 653 quax600 quantize -Inf -Inf -> -Infinity 654 quax601 quantize -Inf 1e-1000 -> NaN Invalid_operation 655 quax602 quantize -Inf 1e-1 -> NaN Invalid_operation 656 quax603 quantize -Inf 1e0 -> NaN Invalid_operation 657 quax604 quantize -Inf 1e1 -> NaN Invalid_operation 658 quax605 quantize -Inf 1e1000 -> NaN Invalid_operation 659 quax606 quantize -Inf Inf -> -Infinity 660 quax607 quantize -1000 Inf -> NaN Invalid_operation 661 quax608 quantize -Inf -Inf -> -Infinity 662 quax609 quantize -1 -Inf -> NaN Invalid_operation 663 quax610 quantize 0 -Inf -> NaN Invalid_operation 664 quax611 quantize 1 -Inf -> NaN Invalid_operation 665 quax612 quantize 1000 -Inf -> NaN Invalid_operation 666 quax613 quantize Inf -Inf -> Infinity 667 quax614 quantize -Inf 1e-0 -> NaN Invalid_operation 668 quax615 quantize -0 -Inf -> NaN Invalid_operation 669 670 quax621 quantize NaN -Inf -> NaN 671 quax622 quantize NaN 1e-1000 -> NaN 672 quax623 quantize NaN 1e-1 -> NaN 673 quax624 quantize NaN 1e0 -> NaN 674 quax625 quantize NaN 1e1 -> NaN 675 quax626 quantize NaN 1e1000 -> NaN 676 quax627 quantize NaN Inf -> NaN 677 quax628 quantize NaN NaN -> NaN 678 quax629 quantize -Inf NaN -> NaN 679 quax630 quantize -1000 NaN -> NaN 680 quax631 quantize -1 NaN -> NaN 681 quax632 quantize 0 NaN -> NaN 682 quax633 quantize 1 NaN -> NaN 683 quax634 quantize 1000 NaN -> NaN 684 quax635 quantize Inf NaN -> NaN 685 quax636 quantize NaN 1e-0 -> NaN 686 quax637 quantize -0 NaN -> NaN 687 688 quax641 quantize sNaN -Inf -> NaN Invalid_operation 689 quax642 quantize sNaN 1e-1000 -> NaN Invalid_operation 690 quax643 quantize sNaN 1e-1 -> NaN Invalid_operation 691 quax644 quantize sNaN 1e0 -> NaN Invalid_operation 692 quax645 quantize sNaN 1e1 -> NaN Invalid_operation 693 quax646 quantize sNaN 1e1000 -> NaN Invalid_operation 694 quax647 quantize sNaN NaN -> NaN Invalid_operation 695 quax648 quantize sNaN sNaN -> NaN Invalid_operation 696 quax649 quantize NaN sNaN -> NaN Invalid_operation 697 quax650 quantize -Inf sNaN -> NaN Invalid_operation 698 quax651 quantize -1000 sNaN -> NaN Invalid_operation 699 quax652 quantize -1 sNaN -> NaN Invalid_operation 700 quax653 quantize 0 sNaN -> NaN Invalid_operation 701 quax654 quantize 1 sNaN -> NaN Invalid_operation 702 quax655 quantize 1000 sNaN -> NaN Invalid_operation 703 quax656 quantize Inf sNaN -> NaN Invalid_operation 704 quax657 quantize NaN sNaN -> NaN Invalid_operation 705 quax658 quantize sNaN 1e-0 -> NaN Invalid_operation 706 quax659 quantize -0 sNaN -> NaN Invalid_operation 707 708 -- propagating NaNs 709 quax661 quantize NaN9 -Inf -> NaN9 710 quax662 quantize NaN8 919 -> NaN8 711 quax663 quantize NaN71 Inf -> NaN71 712 quax664 quantize NaN6 NaN5 -> NaN6 713 quax665 quantize -Inf NaN4 -> NaN4 714 quax666 quantize -919 NaN31 -> NaN31 715 quax667 quantize Inf NaN2 -> NaN2 716 717 quax671 quantize sNaN99 -Inf -> NaN99 Invalid_operation 718 quax672 quantize sNaN98 -11 -> NaN98 Invalid_operation 719 quax673 quantize sNaN97 NaN -> NaN97 Invalid_operation 720 quax674 quantize sNaN16 sNaN94 -> NaN16 Invalid_operation 721 quax675 quantize NaN95 sNaN93 -> NaN93 Invalid_operation 722 quax676 quantize -Inf sNaN92 -> NaN92 Invalid_operation 723 quax677 quantize 088 sNaN91 -> NaN91 Invalid_operation 724 quax678 quantize Inf sNaN90 -> NaN90 Invalid_operation 725 quax679 quantize NaN sNaN88 -> NaN88 Invalid_operation 726 727 quax681 quantize -NaN9 -Inf -> -NaN9 728 quax682 quantize -NaN8 919 -> -NaN8 729 quax683 quantize -NaN71 Inf -> -NaN71 730 quax684 quantize -NaN6 -NaN5 -> -NaN6 731 quax685 quantize -Inf -NaN4 -> -NaN4 732 quax686 quantize -919 -NaN31 -> -NaN31 733 quax687 quantize Inf -NaN2 -> -NaN2 734 735 quax691 quantize -sNaN99 -Inf -> -NaN99 Invalid_operation 736 quax692 quantize -sNaN98 -11 -> -NaN98 Invalid_operation 737 quax693 quantize -sNaN97 NaN -> -NaN97 Invalid_operation 738 quax694 quantize -sNaN16 sNaN94 -> -NaN16 Invalid_operation 739 quax695 quantize -NaN95 -sNaN93 -> -NaN93 Invalid_operation 740 quax696 quantize -Inf -sNaN92 -> -NaN92 Invalid_operation 741 quax697 quantize 088 -sNaN91 -> -NaN91 Invalid_operation 742 quax698 quantize Inf -sNaN90 -> -NaN90 Invalid_operation 743 quax699 quantize NaN -sNaN88 -> -NaN88 Invalid_operation 744 745 -- subnormals and underflow 746 precision: 4 747 maxexponent: 999 748 minexponent: -999 749 quax710 quantize 1.00E-999 1e-999 -> 1E-999 Rounded 750 quax711 quantize 0.1E-999 2e-1000 -> 1E-1000 Subnormal 751 quax712 quantize 0.10E-999 3e-1000 -> 1E-1000 Subnormal Rounded 752 quax713 quantize 0.100E-999 4e-1000 -> 1E-1000 Subnormal Rounded 753 quax714 quantize 0.01E-999 5e-1001 -> 1E-1001 Subnormal 754 -- next is rounded to Emin 755 quax715 quantize 0.999E-999 1e-999 -> 1E-999 Inexact Rounded 756 quax716 quantize 0.099E-999 10e-1000 -> 1E-1000 Inexact Rounded Subnormal 757 758 quax717 quantize 0.009E-999 1e-1001 -> 1E-1001 Inexact Rounded Subnormal 759 quax718 quantize 0.001E-999 1e-1001 -> 0E-1001 Inexact Rounded 760 quax719 quantize 0.0009E-999 1e-1001 -> 0E-1001 Inexact Rounded 761 quax720 quantize 0.0001E-999 1e-1001 -> 0E-1001 Inexact Rounded 762 763 quax730 quantize -1.00E-999 1e-999 -> -1E-999 Rounded 764 quax731 quantize -0.1E-999 1e-999 -> -0E-999 Rounded Inexact 765 quax732 quantize -0.10E-999 1e-999 -> -0E-999 Rounded Inexact 766 quax733 quantize -0.100E-999 1e-999 -> -0E-999 Rounded Inexact 767 quax734 quantize -0.01E-999 1e-999 -> -0E-999 Inexact Rounded 768 -- next is rounded to Emin 769 quax735 quantize -0.999E-999 90e-999 -> -1E-999 Inexact Rounded 770 quax736 quantize -0.099E-999 -1e-999 -> -0E-999 Inexact Rounded 771 quax737 quantize -0.009E-999 -1e-999 -> -0E-999 Inexact Rounded 772 quax738 quantize -0.001E-999 -0e-999 -> -0E-999 Inexact Rounded 773 quax739 quantize -0.0001E-999 0e-999 -> -0E-999 Inexact Rounded 774 775 quax740 quantize -1.00E-999 1e-1000 -> -1.0E-999 Rounded 776 quax741 quantize -0.1E-999 1e-1000 -> -1E-1000 Subnormal 777 quax742 quantize -0.10E-999 1e-1000 -> -1E-1000 Subnormal Rounded 778 quax743 quantize -0.100E-999 1e-1000 -> -1E-1000 Subnormal Rounded 779 quax744 quantize -0.01E-999 1e-1000 -> -0E-1000 Inexact Rounded 780 -- next is rounded to Emin 781 quax745 quantize -0.999E-999 1e-1000 -> -1.0E-999 Inexact Rounded 782 quax746 quantize -0.099E-999 1e-1000 -> -1E-1000 Inexact Rounded Subnormal 783 quax747 quantize -0.009E-999 1e-1000 -> -0E-1000 Inexact Rounded 784 quax748 quantize -0.001E-999 1e-1000 -> -0E-1000 Inexact Rounded 785 quax749 quantize -0.0001E-999 1e-1000 -> -0E-1000 Inexact Rounded 786 787 quax750 quantize -1.00E-999 1e-1001 -> -1.00E-999 788 quax751 quantize -0.1E-999 1e-1001 -> -1.0E-1000 Subnormal 789 quax752 quantize -0.10E-999 1e-1001 -> -1.0E-1000 Subnormal 790 quax753 quantize -0.100E-999 1e-1001 -> -1.0E-1000 Subnormal Rounded 791 quax754 quantize -0.01E-999 1e-1001 -> -1E-1001 Subnormal 792 -- next is rounded to Emin 793 quax755 quantize -0.999E-999 1e-1001 -> -1.00E-999 Inexact Rounded 794 quax756 quantize -0.099E-999 1e-1001 -> -1.0E-1000 Inexact Rounded Subnormal 795 quax757 quantize -0.009E-999 1e-1001 -> -1E-1001 Inexact Rounded Subnormal 796 quax758 quantize -0.001E-999 1e-1001 -> -0E-1001 Inexact Rounded 797 quax759 quantize -0.0001E-999 1e-1001 -> -0E-1001 Inexact Rounded 798 799 quax760 quantize -1.00E-999 1e-1002 -> -1.000E-999 800 quax761 quantize -0.1E-999 1e-1002 -> -1.00E-1000 Subnormal 801 quax762 quantize -0.10E-999 1e-1002 -> -1.00E-1000 Subnormal 802 quax763 quantize -0.100E-999 1e-1002 -> -1.00E-1000 Subnormal 803 quax764 quantize -0.01E-999 1e-1002 -> -1.0E-1001 Subnormal 804 quax765 quantize -0.999E-999 1e-1002 -> -9.99E-1000 Subnormal 805 quax766 quantize -0.099E-999 1e-1002 -> -9.9E-1001 Subnormal 806 quax767 quantize -0.009E-999 1e-1002 -> -9E-1002 Subnormal 807 quax768 quantize -0.001E-999 1e-1002 -> -1E-1002 Subnormal 808 quax769 quantize -0.0001E-999 1e-1002 -> -0E-1002 Inexact Rounded 809 810 -- rhs must be no less than Etiny 811 quax770 quantize -1.00E-999 1e-1003 -> NaN Invalid_operation 812 quax771 quantize -0.1E-999 1e-1003 -> NaN Invalid_operation 813 quax772 quantize -0.10E-999 1e-1003 -> NaN Invalid_operation 814 quax773 quantize -0.100E-999 1e-1003 -> NaN Invalid_operation 815 quax774 quantize -0.01E-999 1e-1003 -> NaN Invalid_operation 816 quax775 quantize -0.999E-999 1e-1003 -> NaN Invalid_operation 817 quax776 quantize -0.099E-999 1e-1003 -> NaN Invalid_operation 818 quax777 quantize -0.009E-999 1e-1003 -> NaN Invalid_operation 819 quax778 quantize -0.001E-999 1e-1003 -> NaN Invalid_operation 820 quax779 quantize -0.0001E-999 1e-1003 -> NaN Invalid_operation 821 quax780 quantize -0.0001E-999 1e-1004 -> NaN Invalid_operation 822 823 precision: 9 824 maxExponent: 999999999 825 minexponent: -999999999 826 827 -- some extremes derived from Rescale testcases 828 quax801 quantize 0 1e1000000000 -> NaN Invalid_operation 829 quax802 quantize 0 1e-1000000000 -> 0E-1000000000 830 quax803 quantize 0 1e2000000000 -> NaN Invalid_operation 831 quax804 quantize 0 1e-2000000000 -> NaN Invalid_operation 832 quax805 quantize 0 1e3000000000 -> NaN Invalid_operation 833 quax806 quantize 0 1e-3000000000 -> NaN Invalid_operation 834 quax807 quantize 0 1e4000000000 -> NaN Invalid_operation 835 quax808 quantize 0 1e-4000000000 -> NaN Invalid_operation 836 quax809 quantize 0 1e5000000000 -> NaN Invalid_operation 837 quax810 quantize 0 1e-5000000000 -> NaN Invalid_operation 838 quax811 quantize 0 1e6000000000 -> NaN Invalid_operation 839 quax812 quantize 0 1e-6000000000 -> NaN Invalid_operation 840 quax813 quantize 0 1e7000000000 -> NaN Invalid_operation 841 quax814 quantize 0 1e-7000000000 -> NaN Invalid_operation 842 quax815 quantize 0 1e8000000000 -> NaN Invalid_operation 843 quax816 quantize 0 1e-8000000000 -> NaN Invalid_operation 844 quax817 quantize 0 1e9000000000 -> NaN Invalid_operation 845 quax818 quantize 0 1e-9000000000 -> NaN Invalid_operation 846 quax819 quantize 0 1e9999999999 -> NaN Invalid_operation 847 quax820 quantize 0 1e-9999999999 -> NaN Invalid_operation 848 quax821 quantize 0 1e10000000000 -> NaN Invalid_operation 849 quax822 quantize 0 1e-10000000000 -> NaN Invalid_operation 850 851 quax843 quantize 0 1e999999999 -> 0E+999999999 852 quax844 quantize 0 1e1000000000 -> NaN Invalid_operation 853 quax845 quantize 0 1e-999999999 -> 0E-999999999 854 quax846 quantize 0 1e-1000000000 -> 0E-1000000000 855 quax847 quantize 0 1e-1000000001 -> 0E-1000000001 856 quax848 quantize 0 1e-1000000002 -> 0E-1000000002 857 quax849 quantize 0 1e-1000000003 -> 0E-1000000003 858 quax850 quantize 0 1e-1000000004 -> 0E-1000000004 859 quax851 quantize 0 1e-1000000005 -> 0E-1000000005 860 quax852 quantize 0 1e-1000000006 -> 0E-1000000006 861 quax853 quantize 0 1e-1000000007 -> 0E-1000000007 862 quax854 quantize 0 1e-1000000008 -> NaN Invalid_operation 863 864 quax861 quantize 1 1e+2147483649 -> NaN Invalid_operation 865 quax862 quantize 1 1e+2147483648 -> NaN Invalid_operation 866 quax863 quantize 1 1e+2147483647 -> NaN Invalid_operation 867 quax864 quantize 1 1e-2147483647 -> NaN Invalid_operation 868 quax865 quantize 1 1e-2147483648 -> NaN Invalid_operation 869 quax866 quantize 1 1e-2147483649 -> NaN Invalid_operation 870 871 -- More from Fung Lee 872 precision: 16 873 rounding: half_up 874 maxExponent: 384 875 minExponent: -383 876 quax1021 quantize 8.666666666666000E+384 1.000000000000000E+384 -> 8.666666666666000E+384 877 quax1022 quantize 64#8.666666666666000E+384 64#1.000000000000000E+384 -> 8.666666666666000E+384 878 quax1023 quantize 64#8.666666666666000E+384 128#1.000000000000000E+384 -> 8.666666666666000E+384 879 quax1024 quantize 64#8.666666666666000E+384 64#1E+384 -> 8.666666666666000E+384 880 quax1025 quantize 64#8.666666666666000E+384 64#1E+384 -> 64#8.666666666666000E+384 881 quax1026 quantize 64#8.666666666666000E+384 128#1E+384 -> 64#9E+384 Inexact Rounded Clamped 882 quax1027 quantize 64#8.666666666666000E+323 64#1E+31 -> NaN Invalid_operation 883 quax1028 quantize 64#8.666666666666000E+323 128#1E+31 -> NaN Invalid_operation 884 quax1029 quantize 64#8.66666666E+3 128#1E+10 -> 64#0E10 Inexact Rounded 885 quax1030 quantize 8.66666666E+3 1E+3 -> 9E+3 Inexact Rounded 886 887 -- Int and uInt32 edge values for testing conversions 888 quax1040 quantize -2147483646 0 -> -2147483646 889 quax1041 quantize -2147483647 0 -> -2147483647 890 quax1042 quantize -2147483648 0 -> -2147483648 891 quax1043 quantize -2147483649 0 -> -2147483649 892 quax1044 quantize 2147483646 0 -> 2147483646 893 quax1045 quantize 2147483647 0 -> 2147483647 894 quax1046 quantize 2147483648 0 -> 2147483648 895 quax1047 quantize 2147483649 0 -> 2147483649 896 quax1048 quantize 4294967294 0 -> 4294967294 897 quax1049 quantize 4294967295 0 -> 4294967295 898 quax1050 quantize 4294967296 0 -> 4294967296 899 quax1051 quantize 4294967297 0 -> 4294967297 900 -- and powers of ten for same 901 quax1101 quantize 5000000000 0 -> 5000000000 902 quax1102 quantize 4000000000 0 -> 4000000000 903 quax1103 quantize 2000000000 0 -> 2000000000 904 quax1104 quantize 1000000000 0 -> 1000000000 905 quax1105 quantize 0100000000 0 -> 100000000 906 quax1106 quantize 0010000000 0 -> 10000000 907 quax1107 quantize 0001000000 0 -> 1000000 908 quax1108 quantize 0000100000 0 -> 100000 909 quax1109 quantize 0000010000 0 -> 10000 910 quax1110 quantize 0000001000 0 -> 1000 911 quax1111 quantize 0000000100 0 -> 100 912 quax1112 quantize 0000000010 0 -> 10 913 quax1113 quantize 0000000001 0 -> 1 914 quax1114 quantize 0000000000 0 -> 0 915 -- and powers of ten for same 916 quax1121 quantize -5000000000 0 -> -5000000000 917 quax1122 quantize -4000000000 0 -> -4000000000 918 quax1123 quantize -2000000000 0 -> -2000000000 919 quax1124 quantize -1000000000 0 -> -1000000000 920 quax1125 quantize -0100000000 0 -> -100000000 921 quax1126 quantize -0010000000 0 -> -10000000 922 quax1127 quantize -0001000000 0 -> -1000000 923 quax1128 quantize -0000100000 0 -> -100000 924 quax1129 quantize -0000010000 0 -> -10000 925 quax1130 quantize -0000001000 0 -> -1000 926 quax1131 quantize -0000000100 0 -> -100 927 quax1132 quantize -0000000010 0 -> -10 928 quax1133 quantize -0000000001 0 -> -1 929 quax1134 quantize -0000000000 0 -> -0 930 931 -- Some miscellany 932 precision: 34 933 rounding: half_up 934 maxExponent: 6144 935 minExponent: -6143 936 -- 1 2 3 937 -- 1 234567890123456789012345678901234 938 quax0a1 quantize 8.555555555555555555555555555555555E+6143 1E+6143 -> 9E+6143 Inexact Rounded 939 quax0a2 quantize 128#8.555555555555555555555555555555555E+6143 128#1E+6143 -> 8.55555555555555555555555555555556E+6143 Rounded Inexact 940 quax0a3 quantize 128#8.555555555555555555555555555555555E+6144 128#1E+6144 -> 8.555555555555555555555555555555555E+6144 941 942 -- payload decapitate 943 precision: 5 944 quax62100 quantize 11 -sNaN1234567890 -> -NaN67890 Invalid_operation 945 946 -- Null tests 947 quax998 quantize 10 # -> NaN Invalid_operation 948 quax999 quantize # 1e10 -> NaN Invalid_operation 949