1 ------------------------------------------------------------------------ 2 -- ddQuantize.decTest -- decDouble 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 (a] 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 precision: 16 27 maxExponent: 384 28 minExponent: -383 29 extended: 1 30 clamp: 1 31 rounding: half_even 32 33 -- sanity checks 34 ddqua001 quantize 0 1e0 -> 0 35 ddqua002 quantize 1 1e0 -> 1 36 ddqua003 quantize 0.1 1e+2 -> 0E+2 Inexact Rounded 37 ddqua005 quantize 0.1 1e+1 -> 0E+1 Inexact Rounded 38 ddqua006 quantize 0.1 1e0 -> 0 Inexact Rounded 39 ddqua007 quantize 0.1 1e-1 -> 0.1 40 ddqua008 quantize 0.1 1e-2 -> 0.10 41 ddqua009 quantize 0.1 1e-3 -> 0.100 42 ddqua010 quantize 0.9 1e+2 -> 0E+2 Inexact Rounded 43 ddqua011 quantize 0.9 1e+1 -> 0E+1 Inexact Rounded 44 ddqua012 quantize 0.9 1e+0 -> 1 Inexact Rounded 45 ddqua013 quantize 0.9 1e-1 -> 0.9 46 ddqua014 quantize 0.9 1e-2 -> 0.90 47 ddqua015 quantize 0.9 1e-3 -> 0.900 48 -- negatives 49 ddqua021 quantize -0 1e0 -> -0 50 ddqua022 quantize -1 1e0 -> -1 51 ddqua023 quantize -0.1 1e+2 -> -0E+2 Inexact Rounded 52 ddqua025 quantize -0.1 1e+1 -> -0E+1 Inexact Rounded 53 ddqua026 quantize -0.1 1e0 -> -0 Inexact Rounded 54 ddqua027 quantize -0.1 1e-1 -> -0.1 55 ddqua028 quantize -0.1 1e-2 -> -0.10 56 ddqua029 quantize -0.1 1e-3 -> -0.100 57 ddqua030 quantize -0.9 1e+2 -> -0E+2 Inexact Rounded 58 ddqua031 quantize -0.9 1e+1 -> -0E+1 Inexact Rounded 59 ddqua032 quantize -0.9 1e+0 -> -1 Inexact Rounded 60 ddqua033 quantize -0.9 1e-1 -> -0.9 61 ddqua034 quantize -0.9 1e-2 -> -0.90 62 ddqua035 quantize -0.9 1e-3 -> -0.900 63 ddqua036 quantize -0.5 1e+2 -> -0E+2 Inexact Rounded 64 ddqua037 quantize -0.5 1e+1 -> -0E+1 Inexact Rounded 65 ddqua038 quantize -0.5 1e+0 -> -0 Inexact Rounded 66 ddqua039 quantize -0.5 1e-1 -> -0.5 67 ddqua040 quantize -0.5 1e-2 -> -0.50 68 ddqua041 quantize -0.5 1e-3 -> -0.500 69 ddqua042 quantize -0.9 1e+2 -> -0E+2 Inexact Rounded 70 ddqua043 quantize -0.9 1e+1 -> -0E+1 Inexact Rounded 71 ddqua044 quantize -0.9 1e+0 -> -1 Inexact Rounded 72 ddqua045 quantize -0.9 1e-1 -> -0.9 73 ddqua046 quantize -0.9 1e-2 -> -0.90 74 ddqua047 quantize -0.9 1e-3 -> -0.900 75 76 -- examples from Specification 77 ddqua060 quantize 2.17 0.001 -> 2.170 78 ddqua061 quantize 2.17 0.01 -> 2.17 79 ddqua062 quantize 2.17 0.1 -> 2.2 Inexact Rounded 80 ddqua063 quantize 2.17 1e+0 -> 2 Inexact Rounded 81 ddqua064 quantize 2.17 1e+1 -> 0E+1 Inexact Rounded 82 ddqua065 quantize -Inf Inf -> -Infinity 83 ddqua066 quantize 2 Inf -> NaN Invalid_operation 84 ddqua067 quantize -0.1 1 -> -0 Inexact Rounded 85 ddqua068 quantize -0 1e+5 -> -0E+5 86 ddqua069 quantize +123456789012345.6 1e-2 -> NaN Invalid_operation 87 ddqua070 quantize -987654335236450.6 1e-2 -> NaN Invalid_operation 88 ddqua071 quantize 217 1e-1 -> 217.0 89 ddqua072 quantize 217 1e+0 -> 217 90 ddqua073 quantize 217 1e+1 -> 2.2E+2 Inexact Rounded 91 ddqua074 quantize 217 1e+2 -> 2E+2 Inexact Rounded 92 93 -- general tests .. 94 ddqua089 quantize 12 1e+4 -> 0E+4 Inexact Rounded 95 ddqua090 quantize 12 1e+3 -> 0E+3 Inexact Rounded 96 ddqua091 quantize 12 1e+2 -> 0E+2 Inexact Rounded 97 ddqua092 quantize 12 1e+1 -> 1E+1 Inexact Rounded 98 ddqua093 quantize 1.2345 1e-2 -> 1.23 Inexact Rounded 99 ddqua094 quantize 1.2355 1e-2 -> 1.24 Inexact Rounded 100 ddqua095 quantize 1.2345 1e-6 -> 1.234500 101 ddqua096 quantize 9.9999 1e-2 -> 10.00 Inexact Rounded 102 ddqua097 quantize 0.0001 1e-2 -> 0.00 Inexact Rounded 103 ddqua098 quantize 0.001 1e-2 -> 0.00 Inexact Rounded 104 ddqua099 quantize 0.009 1e-2 -> 0.01 Inexact Rounded 105 ddqua100 quantize 92 1e+2 -> 1E+2 Inexact Rounded 106 107 ddqua101 quantize -1 1e0 -> -1 108 ddqua102 quantize -1 1e-1 -> -1.0 109 ddqua103 quantize -1 1e-2 -> -1.00 110 ddqua104 quantize 0 1e0 -> 0 111 ddqua105 quantize 0 1e-1 -> 0.0 112 ddqua106 quantize 0 1e-2 -> 0.00 113 ddqua107 quantize 0.00 1e0 -> 0 114 ddqua108 quantize 0 1e+1 -> 0E+1 115 ddqua109 quantize 0 1e+2 -> 0E+2 116 ddqua110 quantize +1 1e0 -> 1 117 ddqua111 quantize +1 1e-1 -> 1.0 118 ddqua112 quantize +1 1e-2 -> 1.00 119 120 ddqua120 quantize 1.04 1e-3 -> 1.040 121 ddqua121 quantize 1.04 1e-2 -> 1.04 122 ddqua122 quantize 1.04 1e-1 -> 1.0 Inexact Rounded 123 ddqua123 quantize 1.04 1e0 -> 1 Inexact Rounded 124 ddqua124 quantize 1.05 1e-3 -> 1.050 125 ddqua125 quantize 1.05 1e-2 -> 1.05 126 ddqua126 quantize 1.05 1e-1 -> 1.0 Inexact Rounded 127 ddqua131 quantize 1.05 1e0 -> 1 Inexact Rounded 128 ddqua132 quantize 1.06 1e-3 -> 1.060 129 ddqua133 quantize 1.06 1e-2 -> 1.06 130 ddqua134 quantize 1.06 1e-1 -> 1.1 Inexact Rounded 131 ddqua135 quantize 1.06 1e0 -> 1 Inexact Rounded 132 133 ddqua140 quantize -10 1e-2 -> -10.00 134 ddqua141 quantize +1 1e-2 -> 1.00 135 ddqua142 quantize +10 1e-2 -> 10.00 136 ddqua143 quantize 1E+17 1e-2 -> NaN Invalid_operation 137 ddqua144 quantize 1E-17 1e-2 -> 0.00 Inexact Rounded 138 ddqua145 quantize 1E-3 1e-2 -> 0.00 Inexact Rounded 139 ddqua146 quantize 1E-2 1e-2 -> 0.01 140 ddqua147 quantize 1E-1 1e-2 -> 0.10 141 ddqua148 quantize 0E-17 1e-2 -> 0.00 142 143 ddqua150 quantize 1.0600 1e-5 -> 1.06000 144 ddqua151 quantize 1.0600 1e-4 -> 1.0600 145 ddqua152 quantize 1.0600 1e-3 -> 1.060 Rounded 146 ddqua153 quantize 1.0600 1e-2 -> 1.06 Rounded 147 ddqua154 quantize 1.0600 1e-1 -> 1.1 Inexact Rounded 148 ddqua155 quantize 1.0600 1e0 -> 1 Inexact Rounded 149 150 -- a couple where rounding was different in base tests 151 rounding: half_up 152 ddqua157 quantize -0.5 1e+0 -> -1 Inexact Rounded 153 ddqua158 quantize 1.05 1e-1 -> 1.1 Inexact Rounded 154 ddqua159 quantize 1.06 1e0 -> 1 Inexact Rounded 155 rounding: half_even 156 157 -- base tests with non-1 coefficients 158 ddqua161 quantize 0 -9e0 -> 0 159 ddqua162 quantize 1 -7e0 -> 1 160 ddqua163 quantize 0.1 -1e+2 -> 0E+2 Inexact Rounded 161 ddqua165 quantize 0.1 0e+1 -> 0E+1 Inexact Rounded 162 ddqua166 quantize 0.1 2e0 -> 0 Inexact Rounded 163 ddqua167 quantize 0.1 3e-1 -> 0.1 164 ddqua168 quantize 0.1 44e-2 -> 0.10 165 ddqua169 quantize 0.1 555e-3 -> 0.100 166 ddqua170 quantize 0.9 6666e+2 -> 0E+2 Inexact Rounded 167 ddqua171 quantize 0.9 -777e+1 -> 0E+1 Inexact Rounded 168 ddqua172 quantize 0.9 -88e+0 -> 1 Inexact Rounded 169 ddqua173 quantize 0.9 -9e-1 -> 0.9 170 ddqua174 quantize 0.9 0e-2 -> 0.90 171 ddqua175 quantize 0.9 1.1e-3 -> 0.9000 172 -- negatives 173 ddqua181 quantize -0 1.1e0 -> -0.0 174 ddqua182 quantize -1 -1e0 -> -1 175 ddqua183 quantize -0.1 11e+2 -> -0E+2 Inexact Rounded 176 ddqua185 quantize -0.1 111e+1 -> -0E+1 Inexact Rounded 177 ddqua186 quantize -0.1 71e0 -> -0 Inexact Rounded 178 ddqua187 quantize -0.1 -91e-1 -> -0.1 179 ddqua188 quantize -0.1 -.1e-2 -> -0.100 180 ddqua189 quantize -0.1 -1e-3 -> -0.100 181 ddqua190 quantize -0.9 0e+2 -> -0E+2 Inexact Rounded 182 ddqua191 quantize -0.9 -0e+1 -> -0E+1 Inexact Rounded 183 ddqua192 quantize -0.9 -10e+0 -> -1 Inexact Rounded 184 ddqua193 quantize -0.9 100e-1 -> -0.9 185 ddqua194 quantize -0.9 999e-2 -> -0.90 186 187 -- +ve exponents .. 188 ddqua201 quantize -1 1e+0 -> -1 189 ddqua202 quantize -1 1e+1 -> -0E+1 Inexact Rounded 190 ddqua203 quantize -1 1e+2 -> -0E+2 Inexact Rounded 191 ddqua204 quantize 0 1e+0 -> 0 192 ddqua205 quantize 0 1e+1 -> 0E+1 193 ddqua206 quantize 0 1e+2 -> 0E+2 194 ddqua207 quantize +1 1e+0 -> 1 195 ddqua208 quantize +1 1e+1 -> 0E+1 Inexact Rounded 196 ddqua209 quantize +1 1e+2 -> 0E+2 Inexact Rounded 197 198 ddqua220 quantize 1.04 1e+3 -> 0E+3 Inexact Rounded 199 ddqua221 quantize 1.04 1e+2 -> 0E+2 Inexact Rounded 200 ddqua222 quantize 1.04 1e+1 -> 0E+1 Inexact Rounded 201 ddqua223 quantize 1.04 1e+0 -> 1 Inexact Rounded 202 ddqua224 quantize 1.05 1e+3 -> 0E+3 Inexact Rounded 203 ddqua225 quantize 1.05 1e+2 -> 0E+2 Inexact Rounded 204 ddqua226 quantize 1.05 1e+1 -> 0E+1 Inexact Rounded 205 ddqua227 quantize 1.05 1e+0 -> 1 Inexact Rounded 206 ddqua228 quantize 1.05 1e+3 -> 0E+3 Inexact Rounded 207 ddqua229 quantize 1.05 1e+2 -> 0E+2 Inexact Rounded 208 ddqua230 quantize 1.05 1e+1 -> 0E+1 Inexact Rounded 209 ddqua231 quantize 1.05 1e+0 -> 1 Inexact Rounded 210 ddqua232 quantize 1.06 1e+3 -> 0E+3 Inexact Rounded 211 ddqua233 quantize 1.06 1e+2 -> 0E+2 Inexact Rounded 212 ddqua234 quantize 1.06 1e+1 -> 0E+1 Inexact Rounded 213 ddqua235 quantize 1.06 1e+0 -> 1 Inexact Rounded 214 215 ddqua240 quantize -10 1e+1 -> -1E+1 Rounded 216 ddqua241 quantize +1 1e+1 -> 0E+1 Inexact Rounded 217 ddqua242 quantize +10 1e+1 -> 1E+1 Rounded 218 ddqua243 quantize 1E+1 1e+1 -> 1E+1 -- underneath this is E+1 219 ddqua244 quantize 1E+2 1e+1 -> 1.0E+2 -- underneath this is E+1 220 ddqua245 quantize 1E+3 1e+1 -> 1.00E+3 -- underneath this is E+1 221 ddqua246 quantize 1E+4 1e+1 -> 1.000E+4 -- underneath this is E+1 222 ddqua247 quantize 1E+5 1e+1 -> 1.0000E+5 -- underneath this is E+1 223 ddqua248 quantize 1E+6 1e+1 -> 1.00000E+6 -- underneath this is E+1 224 ddqua249 quantize 1E+7 1e+1 -> 1.000000E+7 -- underneath this is E+1 225 ddqua250 quantize 1E+8 1e+1 -> 1.0000000E+8 -- underneath this is E+1 226 ddqua251 quantize 1E+9 1e+1 -> 1.00000000E+9 -- underneath this is E+1 227 -- next one tries to add 9 zeros 228 ddqua252 quantize 1E+17 1e+1 -> NaN Invalid_operation 229 ddqua253 quantize 1E-17 1e+1 -> 0E+1 Inexact Rounded 230 ddqua254 quantize 1E-2 1e+1 -> 0E+1 Inexact Rounded 231 ddqua255 quantize 0E-17 1e+1 -> 0E+1 232 ddqua256 quantize -0E-17 1e+1 -> -0E+1 233 ddqua257 quantize -0E-1 1e+1 -> -0E+1 234 ddqua258 quantize -0 1e+1 -> -0E+1 235 ddqua259 quantize -0E+1 1e+1 -> -0E+1 236 237 ddqua260 quantize -10 1e+2 -> -0E+2 Inexact Rounded 238 ddqua261 quantize +1 1e+2 -> 0E+2 Inexact Rounded 239 ddqua262 quantize +10 1e+2 -> 0E+2 Inexact Rounded 240 ddqua263 quantize 1E+1 1e+2 -> 0E+2 Inexact Rounded 241 ddqua264 quantize 1E+2 1e+2 -> 1E+2 242 ddqua265 quantize 1E+3 1e+2 -> 1.0E+3 243 ddqua266 quantize 1E+4 1e+2 -> 1.00E+4 244 ddqua267 quantize 1E+5 1e+2 -> 1.000E+5 245 ddqua268 quantize 1E+6 1e+2 -> 1.0000E+6 246 ddqua269 quantize 1E+7 1e+2 -> 1.00000E+7 247 ddqua270 quantize 1E+8 1e+2 -> 1.000000E+8 248 ddqua271 quantize 1E+9 1e+2 -> 1.0000000E+9 249 ddqua272 quantize 1E+10 1e+2 -> 1.00000000E+10 250 ddqua273 quantize 1E-10 1e+2 -> 0E+2 Inexact Rounded 251 ddqua274 quantize 1E-2 1e+2 -> 0E+2 Inexact Rounded 252 ddqua275 quantize 0E-10 1e+2 -> 0E+2 253 254 ddqua280 quantize -10 1e+3 -> -0E+3 Inexact Rounded 255 ddqua281 quantize +1 1e+3 -> 0E+3 Inexact Rounded 256 ddqua282 quantize +10 1e+3 -> 0E+3 Inexact Rounded 257 ddqua283 quantize 1E+1 1e+3 -> 0E+3 Inexact Rounded 258 ddqua284 quantize 1E+2 1e+3 -> 0E+3 Inexact Rounded 259 ddqua285 quantize 1E+3 1e+3 -> 1E+3 260 ddqua286 quantize 1E+4 1e+3 -> 1.0E+4 261 ddqua287 quantize 1E+5 1e+3 -> 1.00E+5 262 ddqua288 quantize 1E+6 1e+3 -> 1.000E+6 263 ddqua289 quantize 1E+7 1e+3 -> 1.0000E+7 264 ddqua290 quantize 1E+8 1e+3 -> 1.00000E+8 265 ddqua291 quantize 1E+9 1e+3 -> 1.000000E+9 266 ddqua292 quantize 1E+10 1e+3 -> 1.0000000E+10 267 ddqua293 quantize 1E-10 1e+3 -> 0E+3 Inexact Rounded 268 ddqua294 quantize 1E-2 1e+3 -> 0E+3 Inexact Rounded 269 ddqua295 quantize 0E-10 1e+3 -> 0E+3 270 271 -- round up from below [sign wrong in JIT compiler once] 272 ddqua300 quantize 0.0078 1e-5 -> 0.00780 273 ddqua301 quantize 0.0078 1e-4 -> 0.0078 274 ddqua302 quantize 0.0078 1e-3 -> 0.008 Inexact Rounded 275 ddqua303 quantize 0.0078 1e-2 -> 0.01 Inexact Rounded 276 ddqua304 quantize 0.0078 1e-1 -> 0.0 Inexact Rounded 277 ddqua305 quantize 0.0078 1e0 -> 0 Inexact Rounded 278 ddqua306 quantize 0.0078 1e+1 -> 0E+1 Inexact Rounded 279 ddqua307 quantize 0.0078 1e+2 -> 0E+2 Inexact Rounded 280 281 ddqua310 quantize -0.0078 1e-5 -> -0.00780 282 ddqua311 quantize -0.0078 1e-4 -> -0.0078 283 ddqua312 quantize -0.0078 1e-3 -> -0.008 Inexact Rounded 284 ddqua313 quantize -0.0078 1e-2 -> -0.01 Inexact Rounded 285 ddqua314 quantize -0.0078 1e-1 -> -0.0 Inexact Rounded 286 ddqua315 quantize -0.0078 1e0 -> -0 Inexact Rounded 287 ddqua316 quantize -0.0078 1e+1 -> -0E+1 Inexact Rounded 288 ddqua317 quantize -0.0078 1e+2 -> -0E+2 Inexact Rounded 289 290 ddqua320 quantize 0.078 1e-5 -> 0.07800 291 ddqua321 quantize 0.078 1e-4 -> 0.0780 292 ddqua322 quantize 0.078 1e-3 -> 0.078 293 ddqua323 quantize 0.078 1e-2 -> 0.08 Inexact Rounded 294 ddqua324 quantize 0.078 1e-1 -> 0.1 Inexact Rounded 295 ddqua325 quantize 0.078 1e0 -> 0 Inexact Rounded 296 ddqua326 quantize 0.078 1e+1 -> 0E+1 Inexact Rounded 297 ddqua327 quantize 0.078 1e+2 -> 0E+2 Inexact Rounded 298 299 ddqua330 quantize -0.078 1e-5 -> -0.07800 300 ddqua331 quantize -0.078 1e-4 -> -0.0780 301 ddqua332 quantize -0.078 1e-3 -> -0.078 302 ddqua333 quantize -0.078 1e-2 -> -0.08 Inexact Rounded 303 ddqua334 quantize -0.078 1e-1 -> -0.1 Inexact Rounded 304 ddqua335 quantize -0.078 1e0 -> -0 Inexact Rounded 305 ddqua336 quantize -0.078 1e+1 -> -0E+1 Inexact Rounded 306 ddqua337 quantize -0.078 1e+2 -> -0E+2 Inexact Rounded 307 308 ddqua340 quantize 0.78 1e-5 -> 0.78000 309 ddqua341 quantize 0.78 1e-4 -> 0.7800 310 ddqua342 quantize 0.78 1e-3 -> 0.780 311 ddqua343 quantize 0.78 1e-2 -> 0.78 312 ddqua344 quantize 0.78 1e-1 -> 0.8 Inexact Rounded 313 ddqua345 quantize 0.78 1e0 -> 1 Inexact Rounded 314 ddqua346 quantize 0.78 1e+1 -> 0E+1 Inexact Rounded 315 ddqua347 quantize 0.78 1e+2 -> 0E+2 Inexact Rounded 316 317 ddqua350 quantize -0.78 1e-5 -> -0.78000 318 ddqua351 quantize -0.78 1e-4 -> -0.7800 319 ddqua352 quantize -0.78 1e-3 -> -0.780 320 ddqua353 quantize -0.78 1e-2 -> -0.78 321 ddqua354 quantize -0.78 1e-1 -> -0.8 Inexact Rounded 322 ddqua355 quantize -0.78 1e0 -> -1 Inexact Rounded 323 ddqua356 quantize -0.78 1e+1 -> -0E+1 Inexact Rounded 324 ddqua357 quantize -0.78 1e+2 -> -0E+2 Inexact Rounded 325 326 ddqua360 quantize 7.8 1e-5 -> 7.80000 327 ddqua361 quantize 7.8 1e-4 -> 7.8000 328 ddqua362 quantize 7.8 1e-3 -> 7.800 329 ddqua363 quantize 7.8 1e-2 -> 7.80 330 ddqua364 quantize 7.8 1e-1 -> 7.8 331 ddqua365 quantize 7.8 1e0 -> 8 Inexact Rounded 332 ddqua366 quantize 7.8 1e+1 -> 1E+1 Inexact Rounded 333 ddqua367 quantize 7.8 1e+2 -> 0E+2 Inexact Rounded 334 ddqua368 quantize 7.8 1e+3 -> 0E+3 Inexact Rounded 335 336 ddqua370 quantize -7.8 1e-5 -> -7.80000 337 ddqua371 quantize -7.8 1e-4 -> -7.8000 338 ddqua372 quantize -7.8 1e-3 -> -7.800 339 ddqua373 quantize -7.8 1e-2 -> -7.80 340 ddqua374 quantize -7.8 1e-1 -> -7.8 341 ddqua375 quantize -7.8 1e0 -> -8 Inexact Rounded 342 ddqua376 quantize -7.8 1e+1 -> -1E+1 Inexact Rounded 343 ddqua377 quantize -7.8 1e+2 -> -0E+2 Inexact Rounded 344 ddqua378 quantize -7.8 1e+3 -> -0E+3 Inexact Rounded 345 346 -- some individuals 347 ddqua380 quantize 1234567352364.506 1e-2 -> 1234567352364.51 Inexact Rounded 348 ddqua381 quantize 12345673523645.06 1e-2 -> 12345673523645.06 349 ddqua382 quantize 123456735236450.6 1e-2 -> NaN Invalid_operation 350 ddqua383 quantize 1234567352364506 1e-2 -> NaN Invalid_operation 351 ddqua384 quantize -1234567352364.506 1e-2 -> -1234567352364.51 Inexact Rounded 352 ddqua385 quantize -12345673523645.06 1e-2 -> -12345673523645.06 353 ddqua386 quantize -123456735236450.6 1e-2 -> NaN Invalid_operation 354 ddqua387 quantize -1234567352364506 1e-2 -> NaN Invalid_operation 355 356 rounding: down 357 ddqua389 quantize 123456735236450.6 1e-2 -> NaN Invalid_operation 358 -- ? should that one instead have been: 359 -- ddqua389 quantize 123456735236450.6 1e-2 -> NaN Invalid_operation 360 rounding: half_up 361 362 -- and a few more from e-mail discussions 363 ddqua391 quantize 12345678912.34567 1e-3 -> 12345678912.346 Inexact Rounded 364 ddqua392 quantize 123456789123.4567 1e-3 -> 123456789123.457 Inexact Rounded 365 ddqua393 quantize 1234567891234.567 1e-3 -> 1234567891234.567 366 ddqua394 quantize 12345678912345.67 1e-3 -> NaN Invalid_operation 367 ddqua395 quantize 123456789123456.7 1e-3 -> NaN Invalid_operation 368 ddqua396 quantize 1234567891234567. 1e-3 -> NaN Invalid_operation 369 370 -- some 9999 round-up cases 371 ddqua400 quantize 9.999 1e-5 -> 9.99900 372 ddqua401 quantize 9.999 1e-4 -> 9.9990 373 ddqua402 quantize 9.999 1e-3 -> 9.999 374 ddqua403 quantize 9.999 1e-2 -> 10.00 Inexact Rounded 375 ddqua404 quantize 9.999 1e-1 -> 10.0 Inexact Rounded 376 ddqua405 quantize 9.999 1e0 -> 10 Inexact Rounded 377 ddqua406 quantize 9.999 1e1 -> 1E+1 Inexact Rounded 378 ddqua407 quantize 9.999 1e2 -> 0E+2 Inexact Rounded 379 380 ddqua410 quantize 0.999 1e-5 -> 0.99900 381 ddqua411 quantize 0.999 1e-4 -> 0.9990 382 ddqua412 quantize 0.999 1e-3 -> 0.999 383 ddqua413 quantize 0.999 1e-2 -> 1.00 Inexact Rounded 384 ddqua414 quantize 0.999 1e-1 -> 1.0 Inexact Rounded 385 ddqua415 quantize 0.999 1e0 -> 1 Inexact Rounded 386 ddqua416 quantize 0.999 1e1 -> 0E+1 Inexact Rounded 387 388 ddqua420 quantize 0.0999 1e-5 -> 0.09990 389 ddqua421 quantize 0.0999 1e-4 -> 0.0999 390 ddqua422 quantize 0.0999 1e-3 -> 0.100 Inexact Rounded 391 ddqua423 quantize 0.0999 1e-2 -> 0.10 Inexact Rounded 392 ddqua424 quantize 0.0999 1e-1 -> 0.1 Inexact Rounded 393 ddqua425 quantize 0.0999 1e0 -> 0 Inexact Rounded 394 ddqua426 quantize 0.0999 1e1 -> 0E+1 Inexact Rounded 395 396 ddqua430 quantize 0.00999 1e-5 -> 0.00999 397 ddqua431 quantize 0.00999 1e-4 -> 0.0100 Inexact Rounded 398 ddqua432 quantize 0.00999 1e-3 -> 0.010 Inexact Rounded 399 ddqua433 quantize 0.00999 1e-2 -> 0.01 Inexact Rounded 400 ddqua434 quantize 0.00999 1e-1 -> 0.0 Inexact Rounded 401 ddqua435 quantize 0.00999 1e0 -> 0 Inexact Rounded 402 ddqua436 quantize 0.00999 1e1 -> 0E+1 Inexact Rounded 403 404 ddqua440 quantize 0.000999 1e-5 -> 0.00100 Inexact Rounded 405 ddqua441 quantize 0.000999 1e-4 -> 0.0010 Inexact Rounded 406 ddqua442 quantize 0.000999 1e-3 -> 0.001 Inexact Rounded 407 ddqua443 quantize 0.000999 1e-2 -> 0.00 Inexact Rounded 408 ddqua444 quantize 0.000999 1e-1 -> 0.0 Inexact Rounded 409 ddqua445 quantize 0.000999 1e0 -> 0 Inexact Rounded 410 ddqua446 quantize 0.000999 1e1 -> 0E+1 Inexact Rounded 411 412 ddqua1001 quantize 0.000 0.001 -> 0.000 413 ddqua1002 quantize 0.001 0.001 -> 0.001 414 ddqua1003 quantize 0.0012 0.001 -> 0.001 Inexact Rounded 415 ddqua1004 quantize 0.0018 0.001 -> 0.002 Inexact Rounded 416 ddqua1005 quantize 0.501 0.001 -> 0.501 417 ddqua1006 quantize 0.5012 0.001 -> 0.501 Inexact Rounded 418 ddqua1007 quantize 0.5018 0.001 -> 0.502 Inexact Rounded 419 ddqua1008 quantize 0.999 0.001 -> 0.999 420 421 ddqua481 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded 422 ddqua482 quantize 1234567800 1e+1 -> 1.23456780E+9 Rounded 423 ddqua483 quantize 1234567890 1e+1 -> 1.23456789E+9 Rounded 424 ddqua484 quantize 1234567891 1e+1 -> 1.23456789E+9 Inexact Rounded 425 ddqua485 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded 426 ddqua486 quantize 1234567896 1e+1 -> 1.23456790E+9 Inexact Rounded 427 -- a potential double-round 428 ddqua487 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded 429 ddqua488 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded 430 431 ddqua491 quantize 12345678000 1e+3 -> 1.2345678E+10 Rounded 432 ddqua492 quantize 1234567800 1e+1 -> 1.23456780E+9 Rounded 433 ddqua493 quantize 1234567890 1e+1 -> 1.23456789E+9 Rounded 434 ddqua494 quantize 1234567891 1e+1 -> 1.23456789E+9 Inexact Rounded 435 ddqua495 quantize 12345678901 1e+2 -> 1.23456789E+10 Inexact Rounded 436 ddqua496 quantize 1234567896 1e+1 -> 1.23456790E+9 Inexact Rounded 437 ddqua497 quantize 1234.987643 1e-4 -> 1234.9876 Inexact Rounded 438 ddqua498 quantize 1234.987647 1e-4 -> 1234.9876 Inexact Rounded 439 440 -- Zeros 441 ddqua500 quantize 0 1e1 -> 0E+1 442 ddqua501 quantize 0 1e0 -> 0 443 ddqua502 quantize 0 1e-1 -> 0.0 444 ddqua503 quantize 0.0 1e-1 -> 0.0 445 ddqua504 quantize 0.0 1e0 -> 0 446 ddqua505 quantize 0.0 1e+1 -> 0E+1 447 ddqua506 quantize 0E+1 1e-1 -> 0.0 448 ddqua507 quantize 0E+1 1e0 -> 0 449 ddqua508 quantize 0E+1 1e+1 -> 0E+1 450 ddqua509 quantize -0 1e1 -> -0E+1 451 ddqua510 quantize -0 1e0 -> -0 452 ddqua511 quantize -0 1e-1 -> -0.0 453 ddqua512 quantize -0.0 1e-1 -> -0.0 454 ddqua513 quantize -0.0 1e0 -> -0 455 ddqua514 quantize -0.0 1e+1 -> -0E+1 456 ddqua515 quantize -0E+1 1e-1 -> -0.0 457 ddqua516 quantize -0E+1 1e0 -> -0 458 ddqua517 quantize -0E+1 1e+1 -> -0E+1 459 460 -- Suspicious RHS values 461 ddqua520 quantize 1.234 1e359 -> 0E+359 Inexact Rounded 462 ddqua521 quantize 123.456 1e359 -> 0E+359 Inexact Rounded 463 ddqua522 quantize 1.234 1e359 -> 0E+359 Inexact Rounded 464 ddqua523 quantize 123.456 1e359 -> 0E+359 Inexact Rounded 465 -- next four are "won't fit" overfl 466 ddqua526 quantize 1.234 1e-299 -> NaN Invalid_operation 467 ddqua527 quantize 123.456 1e-299 -> NaN Invalid_operation 468 ddqua528 quantize 1.234 1e-299 -> NaN Invalid_operation 469 ddqua529 quantize 123.456 1e-299 -> NaN Invalid_operation 470 471 ddqua532 quantize 1.234E+299 1e299 -> 1E+299 Inexact Rounded 472 ddqua533 quantize 1.234E+298 1e299 -> 0E+299 Inexact Rounded 473 ddqua534 quantize 1.234 1e299 -> 0E+299 Inexact Rounded 474 ddqua537 quantize 0 1e-299 -> 0E-299 475 -- next two are "won't fit" overflows 476 ddqua538 quantize 1.234 1e-299 -> NaN Invalid_operation 477 ddqua539 quantize 1.234 1e-300 -> NaN Invalid_operation 478 -- [more below] 479 480 -- Specials 481 ddqua580 quantize Inf -Inf -> Infinity 482 ddqua581 quantize Inf 1e-299 -> NaN Invalid_operation 483 ddqua582 quantize Inf 1e-1 -> NaN Invalid_operation 484 ddqua583 quantize Inf 1e0 -> NaN Invalid_operation 485 ddqua584 quantize Inf 1e1 -> NaN Invalid_operation 486 ddqua585 quantize Inf 1e299 -> NaN Invalid_operation 487 ddqua586 quantize Inf Inf -> Infinity 488 ddqua587 quantize -1000 Inf -> NaN Invalid_operation 489 ddqua588 quantize -Inf Inf -> -Infinity 490 ddqua589 quantize -1 Inf -> NaN Invalid_operation 491 ddqua590 quantize 0 Inf -> NaN Invalid_operation 492 ddqua591 quantize 1 Inf -> NaN Invalid_operation 493 ddqua592 quantize 1000 Inf -> NaN Invalid_operation 494 ddqua593 quantize Inf Inf -> Infinity 495 ddqua594 quantize Inf 1e-0 -> NaN Invalid_operation 496 ddqua595 quantize -0 Inf -> NaN Invalid_operation 497 498 ddqua600 quantize -Inf -Inf -> -Infinity 499 ddqua601 quantize -Inf 1e-299 -> NaN Invalid_operation 500 ddqua602 quantize -Inf 1e-1 -> NaN Invalid_operation 501 ddqua603 quantize -Inf 1e0 -> NaN Invalid_operation 502 ddqua604 quantize -Inf 1e1 -> NaN Invalid_operation 503 ddqua605 quantize -Inf 1e299 -> NaN Invalid_operation 504 ddqua606 quantize -Inf Inf -> -Infinity 505 ddqua607 quantize -1000 Inf -> NaN Invalid_operation 506 ddqua608 quantize -Inf -Inf -> -Infinity 507 ddqua609 quantize -1 -Inf -> NaN Invalid_operation 508 ddqua610 quantize 0 -Inf -> NaN Invalid_operation 509 ddqua611 quantize 1 -Inf -> NaN Invalid_operation 510 ddqua612 quantize 1000 -Inf -> NaN Invalid_operation 511 ddqua613 quantize Inf -Inf -> Infinity 512 ddqua614 quantize -Inf 1e-0 -> NaN Invalid_operation 513 ddqua615 quantize -0 -Inf -> NaN Invalid_operation 514 515 ddqua621 quantize NaN -Inf -> NaN 516 ddqua622 quantize NaN 1e-299 -> NaN 517 ddqua623 quantize NaN 1e-1 -> NaN 518 ddqua624 quantize NaN 1e0 -> NaN 519 ddqua625 quantize NaN 1e1 -> NaN 520 ddqua626 quantize NaN 1e299 -> NaN 521 ddqua627 quantize NaN Inf -> NaN 522 ddqua628 quantize NaN NaN -> NaN 523 ddqua629 quantize -Inf NaN -> NaN 524 ddqua630 quantize -1000 NaN -> NaN 525 ddqua631 quantize -1 NaN -> NaN 526 ddqua632 quantize 0 NaN -> NaN 527 ddqua633 quantize 1 NaN -> NaN 528 ddqua634 quantize 1000 NaN -> NaN 529 ddqua635 quantize Inf NaN -> NaN 530 ddqua636 quantize NaN 1e-0 -> NaN 531 ddqua637 quantize -0 NaN -> NaN 532 533 ddqua641 quantize sNaN -Inf -> NaN Invalid_operation 534 ddqua642 quantize sNaN 1e-299 -> NaN Invalid_operation 535 ddqua643 quantize sNaN 1e-1 -> NaN Invalid_operation 536 ddqua644 quantize sNaN 1e0 -> NaN Invalid_operation 537 ddqua645 quantize sNaN 1e1 -> NaN Invalid_operation 538 ddqua646 quantize sNaN 1e299 -> NaN Invalid_operation 539 ddqua647 quantize sNaN NaN -> NaN Invalid_operation 540 ddqua648 quantize sNaN sNaN -> NaN Invalid_operation 541 ddqua649 quantize NaN sNaN -> NaN Invalid_operation 542 ddqua650 quantize -Inf sNaN -> NaN Invalid_operation 543 ddqua651 quantize -1000 sNaN -> NaN Invalid_operation 544 ddqua652 quantize -1 sNaN -> NaN Invalid_operation 545 ddqua653 quantize 0 sNaN -> NaN Invalid_operation 546 ddqua654 quantize 1 sNaN -> NaN Invalid_operation 547 ddqua655 quantize 1000 sNaN -> NaN Invalid_operation 548 ddqua656 quantize Inf sNaN -> NaN Invalid_operation 549 ddqua657 quantize NaN sNaN -> NaN Invalid_operation 550 ddqua658 quantize sNaN 1e-0 -> NaN Invalid_operation 551 ddqua659 quantize -0 sNaN -> NaN Invalid_operation 552 553 -- propagating NaNs 554 ddqua661 quantize NaN9 -Inf -> NaN9 555 ddqua662 quantize NaN8 919 -> NaN8 556 ddqua663 quantize NaN71 Inf -> NaN71 557 ddqua664 quantize NaN6 NaN5 -> NaN6 558 ddqua665 quantize -Inf NaN4 -> NaN4 559 ddqua666 quantize -919 NaN31 -> NaN31 560 ddqua667 quantize Inf NaN2 -> NaN2 561 562 ddqua671 quantize sNaN99 -Inf -> NaN99 Invalid_operation 563 ddqua672 quantize sNaN98 -11 -> NaN98 Invalid_operation 564 ddqua673 quantize sNaN97 NaN -> NaN97 Invalid_operation 565 ddqua674 quantize sNaN16 sNaN94 -> NaN16 Invalid_operation 566 ddqua675 quantize NaN95 sNaN93 -> NaN93 Invalid_operation 567 ddqua676 quantize -Inf sNaN92 -> NaN92 Invalid_operation 568 ddqua677 quantize 088 sNaN91 -> NaN91 Invalid_operation 569 ddqua678 quantize Inf sNaN90 -> NaN90 Invalid_operation 570 ddqua679 quantize NaN sNaN88 -> NaN88 Invalid_operation 571 572 ddqua681 quantize -NaN9 -Inf -> -NaN9 573 ddqua682 quantize -NaN8 919 -> -NaN8 574 ddqua683 quantize -NaN71 Inf -> -NaN71 575 ddqua684 quantize -NaN6 -NaN5 -> -NaN6 576 ddqua685 quantize -Inf -NaN4 -> -NaN4 577 ddqua686 quantize -919 -NaN31 -> -NaN31 578 ddqua687 quantize Inf -NaN2 -> -NaN2 579 580 ddqua691 quantize -sNaN99 -Inf -> -NaN99 Invalid_operation 581 ddqua692 quantize -sNaN98 -11 -> -NaN98 Invalid_operation 582 ddqua693 quantize -sNaN97 NaN -> -NaN97 Invalid_operation 583 ddqua694 quantize -sNaN16 sNaN94 -> -NaN16 Invalid_operation 584 ddqua695 quantize -NaN95 -sNaN93 -> -NaN93 Invalid_operation 585 ddqua696 quantize -Inf -sNaN92 -> -NaN92 Invalid_operation 586 ddqua697 quantize 088 -sNaN91 -> -NaN91 Invalid_operation 587 ddqua698 quantize Inf -sNaN90 -> -NaN90 Invalid_operation 588 ddqua699 quantize NaN -sNaN88 -> -NaN88 Invalid_operation 589 590 -- subnormals and underflow 591 ddqua710 quantize 1.00E-383 1e-383 -> 1E-383 Rounded 592 ddqua711 quantize 0.1E-383 2e-384 -> 1E-384 Subnormal 593 ddqua712 quantize 0.10E-383 3e-384 -> 1E-384 Subnormal Rounded 594 ddqua713 quantize 0.100E-383 4e-384 -> 1E-384 Subnormal Rounded 595 ddqua714 quantize 0.01E-383 5e-385 -> 1E-385 Subnormal 596 -- next is rounded to Emin 597 ddqua715 quantize 0.999E-383 1e-383 -> 1E-383 Inexact Rounded 598 ddqua716 quantize 0.099E-383 10e-384 -> 1E-384 Inexact Rounded Subnormal 599 600 ddqua717 quantize 0.009E-383 1e-385 -> 1E-385 Inexact Rounded Subnormal 601 ddqua718 quantize 0.001E-383 1e-385 -> 0E-385 Inexact Rounded 602 ddqua719 quantize 0.0009E-383 1e-385 -> 0E-385 Inexact Rounded 603 ddqua720 quantize 0.0001E-383 1e-385 -> 0E-385 Inexact Rounded 604 605 ddqua730 quantize -1.00E-383 1e-383 -> -1E-383 Rounded 606 ddqua731 quantize -0.1E-383 1e-383 -> -0E-383 Rounded Inexact 607 ddqua732 quantize -0.10E-383 1e-383 -> -0E-383 Rounded Inexact 608 ddqua733 quantize -0.100E-383 1e-383 -> -0E-383 Rounded Inexact 609 ddqua734 quantize -0.01E-383 1e-383 -> -0E-383 Inexact Rounded 610 -- next is rounded to Emin 611 ddqua735 quantize -0.999E-383 90e-383 -> -1E-383 Inexact Rounded 612 ddqua736 quantize -0.099E-383 -1e-383 -> -0E-383 Inexact Rounded 613 ddqua737 quantize -0.009E-383 -1e-383 -> -0E-383 Inexact Rounded 614 ddqua738 quantize -0.001E-383 -0e-383 -> -0E-383 Inexact Rounded 615 ddqua739 quantize -0.0001E-383 0e-383 -> -0E-383 Inexact Rounded 616 617 ddqua740 quantize -1.00E-383 1e-384 -> -1.0E-383 Rounded 618 ddqua741 quantize -0.1E-383 1e-384 -> -1E-384 Subnormal 619 ddqua742 quantize -0.10E-383 1e-384 -> -1E-384 Subnormal Rounded 620 ddqua743 quantize -0.100E-383 1e-384 -> -1E-384 Subnormal Rounded 621 ddqua744 quantize -0.01E-383 1e-384 -> -0E-384 Inexact Rounded 622 -- next is rounded to Emin 623 ddqua745 quantize -0.999E-383 1e-384 -> -1.0E-383 Inexact Rounded 624 ddqua746 quantize -0.099E-383 1e-384 -> -1E-384 Inexact Rounded Subnormal 625 ddqua747 quantize -0.009E-383 1e-384 -> -0E-384 Inexact Rounded 626 ddqua748 quantize -0.001E-383 1e-384 -> -0E-384 Inexact Rounded 627 ddqua749 quantize -0.0001E-383 1e-384 -> -0E-384 Inexact Rounded 628 629 ddqua750 quantize -1.00E-383 1e-385 -> -1.00E-383 630 ddqua751 quantize -0.1E-383 1e-385 -> -1.0E-384 Subnormal 631 ddqua752 quantize -0.10E-383 1e-385 -> -1.0E-384 Subnormal 632 ddqua753 quantize -0.100E-383 1e-385 -> -1.0E-384 Subnormal Rounded 633 ddqua754 quantize -0.01E-383 1e-385 -> -1E-385 Subnormal 634 -- next is rounded to Emin 635 ddqua755 quantize -0.999E-383 1e-385 -> -1.00E-383 Inexact Rounded 636 ddqua756 quantize -0.099E-383 1e-385 -> -1.0E-384 Inexact Rounded Subnormal 637 ddqua757 quantize -0.009E-383 1e-385 -> -1E-385 Inexact Rounded Subnormal 638 ddqua758 quantize -0.001E-383 1e-385 -> -0E-385 Inexact Rounded 639 ddqua759 quantize -0.0001E-383 1e-385 -> -0E-385 Inexact Rounded 640 641 ddqua760 quantize -1.00E-383 1e-386 -> -1.000E-383 642 ddqua761 quantize -0.1E-383 1e-386 -> -1.00E-384 Subnormal 643 ddqua762 quantize -0.10E-383 1e-386 -> -1.00E-384 Subnormal 644 ddqua763 quantize -0.100E-383 1e-386 -> -1.00E-384 Subnormal 645 ddqua764 quantize -0.01E-383 1e-386 -> -1.0E-385 Subnormal 646 ddqua765 quantize -0.999E-383 1e-386 -> -9.99E-384 Subnormal 647 ddqua766 quantize -0.099E-383 1e-386 -> -9.9E-385 Subnormal 648 ddqua767 quantize -0.009E-383 1e-386 -> -9E-386 Subnormal 649 ddqua768 quantize -0.001E-383 1e-386 -> -1E-386 Subnormal 650 ddqua769 quantize -0.0001E-383 1e-386 -> -0E-386 Inexact Rounded 651 652 -- More from Fung Lee 653 ddqua1021 quantize 8.666666666666000E+384 1.000000000000000E+384 -> 8.666666666666000E+384 654 ddqua1022 quantize -8.666666666666000E+384 1.000000000000000E+384 -> -8.666666666666000E+384 655 ddqua1027 quantize 8.666666666666000E+323 1E+31 -> NaN Invalid_operation 656 ddqua1029 quantize 8.66666666E+3 1E+3 -> 9E+3 Inexact Rounded 657 658 659 --ddqua1030 quantize 8.666666666666000E+384 1E+384 -> 9.000000000000000E+384 Rounded Inexact 660 --ddqua1031 quantize 8.666666666666000E+384 1E+384 -> 8.666666666666000E+384 Rounded 661 --ddqua1032 quantize 8.666666666666000E+384 1E+383 -> 8.666666666666000E+384 Rounded 662 --ddqua1033 quantize 8.666666666666000E+384 1E+382 -> 8.666666666666000E+384 Rounded 663 --ddqua1034 quantize 8.666666666666000E+384 1E+381 -> 8.666666666666000E+384 Rounded 664 --ddqua1035 quantize 8.666666666666000E+384 1E+380 -> 8.666666666666000E+384 Rounded 665 666 -- Int and uInt32 edge values for testing conversions 667 ddqua1040 quantize -2147483646 0 -> -2147483646 668 ddqua1041 quantize -2147483647 0 -> -2147483647 669 ddqua1042 quantize -2147483648 0 -> -2147483648 670 ddqua1043 quantize -2147483649 0 -> -2147483649 671 ddqua1044 quantize 2147483646 0 -> 2147483646 672 ddqua1045 quantize 2147483647 0 -> 2147483647 673 ddqua1046 quantize 2147483648 0 -> 2147483648 674 ddqua1047 quantize 2147483649 0 -> 2147483649 675 ddqua1048 quantize 4294967294 0 -> 4294967294 676 ddqua1049 quantize 4294967295 0 -> 4294967295 677 ddqua1050 quantize 4294967296 0 -> 4294967296 678 ddqua1051 quantize 4294967297 0 -> 4294967297 679 680 -- Rounding swathe 681 rounding: half_even 682 ddqua1100 quantize 1.2300 1.00 -> 1.23 Rounded 683 ddqua1101 quantize 1.2301 1.00 -> 1.23 Inexact Rounded 684 ddqua1102 quantize 1.2310 1.00 -> 1.23 Inexact Rounded 685 ddqua1103 quantize 1.2350 1.00 -> 1.24 Inexact Rounded 686 ddqua1104 quantize 1.2351 1.00 -> 1.24 Inexact Rounded 687 ddqua1105 quantize 1.2450 1.00 -> 1.24 Inexact Rounded 688 ddqua1106 quantize 1.2451 1.00 -> 1.25 Inexact Rounded 689 ddqua1107 quantize 1.2360 1.00 -> 1.24 Inexact Rounded 690 ddqua1108 quantize 1.2370 1.00 -> 1.24 Inexact Rounded 691 ddqua1109 quantize 1.2399 1.00 -> 1.24 Inexact Rounded 692 693 rounding: half_up 694 ddqua1200 quantize 1.2300 1.00 -> 1.23 Rounded 695 ddqua1201 quantize 1.2301 1.00 -> 1.23 Inexact Rounded 696 ddqua1202 quantize 1.2310 1.00 -> 1.23 Inexact Rounded 697 ddqua1203 quantize 1.2350 1.00 -> 1.24 Inexact Rounded 698 ddqua1204 quantize 1.2351 1.00 -> 1.24 Inexact Rounded 699 ddqua1205 quantize 1.2450 1.00 -> 1.25 Inexact Rounded 700 ddqua1206 quantize 1.2451 1.00 -> 1.25 Inexact Rounded 701 ddqua1207 quantize 1.2360 1.00 -> 1.24 Inexact Rounded 702 ddqua1208 quantize 1.2370 1.00 -> 1.24 Inexact Rounded 703 ddqua1209 quantize 1.2399 1.00 -> 1.24 Inexact Rounded 704 705 rounding: half_down 706 ddqua1300 quantize 1.2300 1.00 -> 1.23 Rounded 707 ddqua1301 quantize 1.2301 1.00 -> 1.23 Inexact Rounded 708 ddqua1302 quantize 1.2310 1.00 -> 1.23 Inexact Rounded 709 ddqua1303 quantize 1.2350 1.00 -> 1.23 Inexact Rounded 710 ddqua1304 quantize 1.2351 1.00 -> 1.24 Inexact Rounded 711 ddqua1305 quantize 1.2450 1.00 -> 1.24 Inexact Rounded 712 ddqua1306 quantize 1.2451 1.00 -> 1.25 Inexact Rounded 713 ddqua1307 quantize 1.2360 1.00 -> 1.24 Inexact Rounded 714 ddqua1308 quantize 1.2370 1.00 -> 1.24 Inexact Rounded 715 ddqua1309 quantize 1.2399 1.00 -> 1.24 Inexact Rounded 716 717 rounding: up 718 ddqua1400 quantize 1.2300 1.00 -> 1.23 Rounded 719 ddqua1401 quantize 1.2301 1.00 -> 1.24 Inexact Rounded 720 ddqua1402 quantize 1.2310 1.00 -> 1.24 Inexact Rounded 721 ddqua1403 quantize 1.2350 1.00 -> 1.24 Inexact Rounded 722 ddqua1404 quantize 1.2351 1.00 -> 1.24 Inexact Rounded 723 ddqua1405 quantize 1.2450 1.00 -> 1.25 Inexact Rounded 724 ddqua1406 quantize 1.2451 1.00 -> 1.25 Inexact Rounded 725 ddqua1407 quantize 1.2360 1.00 -> 1.24 Inexact Rounded 726 ddqua1408 quantize 1.2370 1.00 -> 1.24 Inexact Rounded 727 ddqua1409 quantize 1.2399 1.00 -> 1.24 Inexact Rounded 728 ddqua1411 quantize -1.2399 1.00 -> -1.24 Inexact Rounded 729 730 rounding: down 731 ddqua1500 quantize 1.2300 1.00 -> 1.23 Rounded 732 ddqua1501 quantize 1.2301 1.00 -> 1.23 Inexact Rounded 733 ddqua1502 quantize 1.2310 1.00 -> 1.23 Inexact Rounded 734 ddqua1503 quantize 1.2350 1.00 -> 1.23 Inexact Rounded 735 ddqua1504 quantize 1.2351 1.00 -> 1.23 Inexact Rounded 736 ddqua1505 quantize 1.2450 1.00 -> 1.24 Inexact Rounded 737 ddqua1506 quantize 1.2451 1.00 -> 1.24 Inexact Rounded 738 ddqua1507 quantize 1.2360 1.00 -> 1.23 Inexact Rounded 739 ddqua1508 quantize 1.2370 1.00 -> 1.23 Inexact Rounded 740 ddqua1509 quantize 1.2399 1.00 -> 1.23 Inexact Rounded 741 ddqua1511 quantize -1.2399 1.00 -> -1.23 Inexact Rounded 742 743 rounding: ceiling 744 ddqua1600 quantize 1.2300 1.00 -> 1.23 Rounded 745 ddqua1601 quantize 1.2301 1.00 -> 1.24 Inexact Rounded 746 ddqua1602 quantize 1.2310 1.00 -> 1.24 Inexact Rounded 747 ddqua1603 quantize 1.2350 1.00 -> 1.24 Inexact Rounded 748 ddqua1604 quantize 1.2351 1.00 -> 1.24 Inexact Rounded 749 ddqua1605 quantize 1.2450 1.00 -> 1.25 Inexact Rounded 750 ddqua1606 quantize 1.2451 1.00 -> 1.25 Inexact Rounded 751 ddqua1607 quantize 1.2360 1.00 -> 1.24 Inexact Rounded 752 ddqua1608 quantize 1.2370 1.00 -> 1.24 Inexact Rounded 753 ddqua1609 quantize 1.2399 1.00 -> 1.24 Inexact Rounded 754 ddqua1611 quantize -1.2399 1.00 -> -1.23 Inexact Rounded 755 756 rounding: floor 757 ddqua1700 quantize 1.2300 1.00 -> 1.23 Rounded 758 ddqua1701 quantize 1.2301 1.00 -> 1.23 Inexact Rounded 759 ddqua1702 quantize 1.2310 1.00 -> 1.23 Inexact Rounded 760 ddqua1703 quantize 1.2350 1.00 -> 1.23 Inexact Rounded 761 ddqua1704 quantize 1.2351 1.00 -> 1.23 Inexact Rounded 762 ddqua1705 quantize 1.2450 1.00 -> 1.24 Inexact Rounded 763 ddqua1706 quantize 1.2451 1.00 -> 1.24 Inexact Rounded 764 ddqua1707 quantize 1.2360 1.00 -> 1.23 Inexact Rounded 765 ddqua1708 quantize 1.2370 1.00 -> 1.23 Inexact Rounded 766 ddqua1709 quantize 1.2399 1.00 -> 1.23 Inexact Rounded 767 ddqua1711 quantize -1.2399 1.00 -> -1.24 Inexact Rounded 768 769 rounding: 05up 770 ddqua1800 quantize 1.2000 1.00 -> 1.20 Rounded 771 ddqua1801 quantize 1.2001 1.00 -> 1.21 Inexact Rounded 772 ddqua1802 quantize 1.2010 1.00 -> 1.21 Inexact Rounded 773 ddqua1803 quantize 1.2050 1.00 -> 1.21 Inexact Rounded 774 ddqua1804 quantize 1.2051 1.00 -> 1.21 Inexact Rounded 775 ddqua1807 quantize 1.2060 1.00 -> 1.21 Inexact Rounded 776 ddqua1808 quantize 1.2070 1.00 -> 1.21 Inexact Rounded 777 ddqua1809 quantize 1.2099 1.00 -> 1.21 Inexact Rounded 778 ddqua1811 quantize -1.2099 1.00 -> -1.21 Inexact Rounded 779 780 ddqua1900 quantize 1.2100 1.00 -> 1.21 Rounded 781 ddqua1901 quantize 1.2101 1.00 -> 1.21 Inexact Rounded 782 ddqua1902 quantize 1.2110 1.00 -> 1.21 Inexact Rounded 783 ddqua1903 quantize 1.2150 1.00 -> 1.21 Inexact Rounded 784 ddqua1904 quantize 1.2151 1.00 -> 1.21 Inexact Rounded 785 ddqua1907 quantize 1.2160 1.00 -> 1.21 Inexact Rounded 786 ddqua1908 quantize 1.2170 1.00 -> 1.21 Inexact Rounded 787 ddqua1909 quantize 1.2199 1.00 -> 1.21 Inexact Rounded 788 ddqua1911 quantize -1.2199 1.00 -> -1.21 Inexact Rounded 789 790 ddqua2000 quantize 1.2400 1.00 -> 1.24 Rounded 791 ddqua2001 quantize 1.2401 1.00 -> 1.24 Inexact Rounded 792 ddqua2002 quantize 1.2410 1.00 -> 1.24 Inexact Rounded 793 ddqua2003 quantize 1.2450 1.00 -> 1.24 Inexact Rounded 794 ddqua2004 quantize 1.2451 1.00 -> 1.24 Inexact Rounded 795 ddqua2007 quantize 1.2460 1.00 -> 1.24 Inexact Rounded 796 ddqua2008 quantize 1.2470 1.00 -> 1.24 Inexact Rounded 797 ddqua2009 quantize 1.2499 1.00 -> 1.24 Inexact Rounded 798 ddqua2011 quantize -1.2499 1.00 -> -1.24 Inexact Rounded 799 800 ddqua2100 quantize 1.2500 1.00 -> 1.25 Rounded 801 ddqua2101 quantize 1.2501 1.00 -> 1.26 Inexact Rounded 802 ddqua2102 quantize 1.2510 1.00 -> 1.26 Inexact Rounded 803 ddqua2103 quantize 1.2550 1.00 -> 1.26 Inexact Rounded 804 ddqua2104 quantize 1.2551 1.00 -> 1.26 Inexact Rounded 805 ddqua2107 quantize 1.2560 1.00 -> 1.26 Inexact Rounded 806 ddqua2108 quantize 1.2570 1.00 -> 1.26 Inexact Rounded 807 ddqua2109 quantize 1.2599 1.00 -> 1.26 Inexact Rounded 808 ddqua2111 quantize -1.2599 1.00 -> -1.26 Inexact Rounded 809 810 ddqua2200 quantize 1.2600 1.00 -> 1.26 Rounded 811 ddqua2201 quantize 1.2601 1.00 -> 1.26 Inexact Rounded 812 ddqua2202 quantize 1.2610 1.00 -> 1.26 Inexact Rounded 813 ddqua2203 quantize 1.2650 1.00 -> 1.26 Inexact Rounded 814 ddqua2204 quantize 1.2651 1.00 -> 1.26 Inexact Rounded 815 ddqua2207 quantize 1.2660 1.00 -> 1.26 Inexact Rounded 816 ddqua2208 quantize 1.2670 1.00 -> 1.26 Inexact Rounded 817 ddqua2209 quantize 1.2699 1.00 -> 1.26 Inexact Rounded 818 ddqua2211 quantize -1.2699 1.00 -> -1.26 Inexact Rounded 819 820 ddqua2300 quantize 1.2900 1.00 -> 1.29 Rounded 821 ddqua2301 quantize 1.2901 1.00 -> 1.29 Inexact Rounded 822 ddqua2302 quantize 1.2910 1.00 -> 1.29 Inexact Rounded 823 ddqua2303 quantize 1.2950 1.00 -> 1.29 Inexact Rounded 824 ddqua2304 quantize 1.2951 1.00 -> 1.29 Inexact Rounded 825 ddqua2307 quantize 1.2960 1.00 -> 1.29 Inexact Rounded 826 ddqua2308 quantize 1.2970 1.00 -> 1.29 Inexact Rounded 827 ddqua2309 quantize 1.2999 1.00 -> 1.29 Inexact Rounded 828 ddqua2311 quantize -1.2999 1.00 -> -1.29 Inexact Rounded 829 830 -- Null tests 831 rounding: half_even 832 ddqua998 quantize 10 # -> NaN Invalid_operation 833 ddqua999 quantize # 1e10 -> NaN Invalid_operation 834
