1 ------------------------------------------------------------------------ 2 -- comparetotmag.decTest -- decimal comparison, abs. total ordering -- 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 -- Note that it cannot be assumed that add/subtract tests cover paths 23 -- for this operation adequately, here, because the code might be 24 -- quite different (comparison cannot overflow or underflow, so 25 -- actual subtractions are not necessary). Similarly, comparetotal 26 -- will have some radically different paths than compare. 27 28 extended: 1 29 precision: 16 30 rounding: half_up 31 maxExponent: 384 32 minExponent: -383 33 34 -- sanity checks 35 ctmx001 comparetotmag -2 -2 -> 0 36 ctmx002 comparetotmag -2 -1 -> 1 37 ctmx003 comparetotmag -2 0 -> 1 38 ctmx004 comparetotmag -2 1 -> 1 39 ctmx005 comparetotmag -2 2 -> 0 40 ctmx006 comparetotmag -1 -2 -> -1 41 ctmx007 comparetotmag -1 -1 -> 0 42 ctmx008 comparetotmag -1 0 -> 1 43 ctmx009 comparetotmag -1 1 -> 0 44 ctmx010 comparetotmag -1 2 -> -1 45 ctmx011 comparetotmag 0 -2 -> -1 46 ctmx012 comparetotmag 0 -1 -> -1 47 ctmx013 comparetotmag 0 0 -> 0 48 ctmx014 comparetotmag 0 1 -> -1 49 ctmx015 comparetotmag 0 2 -> -1 50 ctmx016 comparetotmag 1 -2 -> -1 51 ctmx017 comparetotmag 1 -1 -> 0 52 ctmx018 comparetotmag 1 0 -> 1 53 ctmx019 comparetotmag 1 1 -> 0 54 ctmx020 comparetotmag 1 2 -> -1 55 ctmx021 comparetotmag 2 -2 -> 0 56 ctmx022 comparetotmag 2 -1 -> 1 57 ctmx023 comparetotmag 2 0 -> 1 58 ctmx025 comparetotmag 2 1 -> 1 59 ctmx026 comparetotmag 2 2 -> 0 60 61 ctmx031 comparetotmag -20 -20 -> 0 62 ctmx032 comparetotmag -20 -10 -> 1 63 ctmx033 comparetotmag -20 00 -> 1 64 ctmx034 comparetotmag -20 10 -> 1 65 ctmx035 comparetotmag -20 20 -> 0 66 ctmx036 comparetotmag -10 -20 -> -1 67 ctmx037 comparetotmag -10 -10 -> 0 68 ctmx038 comparetotmag -10 00 -> 1 69 ctmx039 comparetotmag -10 10 -> 0 70 ctmx040 comparetotmag -10 20 -> -1 71 ctmx041 comparetotmag 00 -20 -> -1 72 ctmx042 comparetotmag 00 -10 -> -1 73 ctmx043 comparetotmag 00 00 -> 0 74 ctmx044 comparetotmag 00 10 -> -1 75 ctmx045 comparetotmag 00 20 -> -1 76 ctmx046 comparetotmag 10 -20 -> -1 77 ctmx047 comparetotmag 10 -10 -> 0 78 ctmx048 comparetotmag 10 00 -> 1 79 ctmx049 comparetotmag 10 10 -> 0 80 ctmx050 comparetotmag 10 20 -> -1 81 ctmx051 comparetotmag 20 -20 -> 0 82 ctmx052 comparetotmag 20 -10 -> 1 83 ctmx053 comparetotmag 20 00 -> 1 84 ctmx055 comparetotmag 20 10 -> 1 85 ctmx056 comparetotmag 20 20 -> 0 86 87 ctmx061 comparetotmag -2.0 -2.0 -> 0 88 ctmx062 comparetotmag -2.0 -1.0 -> 1 89 ctmx063 comparetotmag -2.0 0.0 -> 1 90 ctmx064 comparetotmag -2.0 1.0 -> 1 91 ctmx065 comparetotmag -2.0 2.0 -> 0 92 ctmx066 comparetotmag -1.0 -2.0 -> -1 93 ctmx067 comparetotmag -1.0 -1.0 -> 0 94 ctmx068 comparetotmag -1.0 0.0 -> 1 95 ctmx069 comparetotmag -1.0 1.0 -> 0 96 ctmx070 comparetotmag -1.0 2.0 -> -1 97 ctmx071 comparetotmag 0.0 -2.0 -> -1 98 ctmx072 comparetotmag 0.0 -1.0 -> -1 99 ctmx073 comparetotmag 0.0 0.0 -> 0 100 ctmx074 comparetotmag 0.0 1.0 -> -1 101 ctmx075 comparetotmag 0.0 2.0 -> -1 102 ctmx076 comparetotmag 1.0 -2.0 -> -1 103 ctmx077 comparetotmag 1.0 -1.0 -> 0 104 ctmx078 comparetotmag 1.0 0.0 -> 1 105 ctmx079 comparetotmag 1.0 1.0 -> 0 106 ctmx080 comparetotmag 1.0 2.0 -> -1 107 ctmx081 comparetotmag 2.0 -2.0 -> 0 108 ctmx082 comparetotmag 2.0 -1.0 -> 1 109 ctmx083 comparetotmag 2.0 0.0 -> 1 110 ctmx085 comparetotmag 2.0 1.0 -> 1 111 ctmx086 comparetotmag 2.0 2.0 -> 0 112 113 -- now some cases which might overflow if subtract were used 114 maxexponent: 999999999 115 minexponent: -999999999 116 ctmx090 comparetotmag 9.99999999E+999999999 9.99999999E+999999999 -> 0 117 ctmx091 comparetotmag -9.99999999E+999999999 9.99999999E+999999999 -> 0 118 ctmx092 comparetotmag 9.99999999E+999999999 -9.99999999E+999999999 -> 0 119 ctmx093 comparetotmag -9.99999999E+999999999 -9.99999999E+999999999 -> 0 120 121 -- some differing length/exponent cases 122 -- in this first group, compare would compare all equal 123 ctmx100 comparetotmag 7.0 7.0 -> 0 124 ctmx101 comparetotmag 7.0 7 -> -1 125 ctmx102 comparetotmag 7 7.0 -> 1 126 ctmx103 comparetotmag 7E+0 7.0 -> 1 127 ctmx104 comparetotmag 70E-1 7.0 -> 0 128 ctmx105 comparetotmag 0.7E+1 7 -> 0 129 ctmx106 comparetotmag 70E-1 7 -> -1 130 ctmx107 comparetotmag 7.0 7E+0 -> -1 131 ctmx108 comparetotmag 7.0 70E-1 -> 0 132 ctmx109 comparetotmag 7 0.7E+1 -> 0 133 ctmx110 comparetotmag 7 70E-1 -> 1 134 135 ctmx120 comparetotmag 8.0 7.0 -> 1 136 ctmx121 comparetotmag 8.0 7 -> 1 137 ctmx122 comparetotmag 8 7.0 -> 1 138 ctmx123 comparetotmag 8E+0 7.0 -> 1 139 ctmx124 comparetotmag 80E-1 7.0 -> 1 140 ctmx125 comparetotmag 0.8E+1 7 -> 1 141 ctmx126 comparetotmag 80E-1 7 -> 1 142 ctmx127 comparetotmag 8.0 7E+0 -> 1 143 ctmx128 comparetotmag 8.0 70E-1 -> 1 144 ctmx129 comparetotmag 8 0.7E+1 -> 1 145 ctmx130 comparetotmag 8 70E-1 -> 1 146 147 ctmx140 comparetotmag 8.0 9.0 -> -1 148 ctmx141 comparetotmag 8.0 9 -> -1 149 ctmx142 comparetotmag 8 9.0 -> -1 150 ctmx143 comparetotmag 8E+0 9.0 -> -1 151 ctmx144 comparetotmag 80E-1 9.0 -> -1 152 ctmx145 comparetotmag 0.8E+1 9 -> -1 153 ctmx146 comparetotmag 80E-1 9 -> -1 154 ctmx147 comparetotmag 8.0 9E+0 -> -1 155 ctmx148 comparetotmag 8.0 90E-1 -> -1 156 ctmx149 comparetotmag 8 0.9E+1 -> -1 157 ctmx150 comparetotmag 8 90E-1 -> -1 158 159 -- and again, with sign changes -+ .. 160 ctmx200 comparetotmag -7.0 7.0 -> 0 161 ctmx201 comparetotmag -7.0 7 -> -1 162 ctmx202 comparetotmag -7 7.0 -> 1 163 ctmx203 comparetotmag -7E+0 7.0 -> 1 164 ctmx204 comparetotmag -70E-1 7.0 -> 0 165 ctmx205 comparetotmag -0.7E+1 7 -> 0 166 ctmx206 comparetotmag -70E-1 7 -> -1 167 ctmx207 comparetotmag -7.0 7E+0 -> -1 168 ctmx208 comparetotmag -7.0 70E-1 -> 0 169 ctmx209 comparetotmag -7 0.7E+1 -> 0 170 ctmx210 comparetotmag -7 70E-1 -> 1 171 172 ctmx220 comparetotmag -8.0 7.0 -> 1 173 ctmx221 comparetotmag -8.0 7 -> 1 174 ctmx222 comparetotmag -8 7.0 -> 1 175 ctmx223 comparetotmag -8E+0 7.0 -> 1 176 ctmx224 comparetotmag -80E-1 7.0 -> 1 177 ctmx225 comparetotmag -0.8E+1 7 -> 1 178 ctmx226 comparetotmag -80E-1 7 -> 1 179 ctmx227 comparetotmag -8.0 7E+0 -> 1 180 ctmx228 comparetotmag -8.0 70E-1 -> 1 181 ctmx229 comparetotmag -8 0.7E+1 -> 1 182 ctmx230 comparetotmag -8 70E-1 -> 1 183 184 ctmx240 comparetotmag -8.0 9.0 -> -1 185 ctmx241 comparetotmag -8.0 9 -> -1 186 ctmx242 comparetotmag -8 9.0 -> -1 187 ctmx243 comparetotmag -8E+0 9.0 -> -1 188 ctmx244 comparetotmag -80E-1 9.0 -> -1 189 ctmx245 comparetotmag -0.8E+1 9 -> -1 190 ctmx246 comparetotmag -80E-1 9 -> -1 191 ctmx247 comparetotmag -8.0 9E+0 -> -1 192 ctmx248 comparetotmag -8.0 90E-1 -> -1 193 ctmx249 comparetotmag -8 0.9E+1 -> -1 194 ctmx250 comparetotmag -8 90E-1 -> -1 195 196 -- and again, with sign changes +- .. 197 ctmx300 comparetotmag 7.0 -7.0 -> 0 198 ctmx301 comparetotmag 7.0 -7 -> -1 199 ctmx302 comparetotmag 7 -7.0 -> 1 200 ctmx303 comparetotmag 7E+0 -7.0 -> 1 201 ctmx304 comparetotmag 70E-1 -7.0 -> 0 202 ctmx305 comparetotmag .7E+1 -7 -> 0 203 ctmx306 comparetotmag 70E-1 -7 -> -1 204 ctmx307 comparetotmag 7.0 -7E+0 -> -1 205 ctmx308 comparetotmag 7.0 -70E-1 -> 0 206 ctmx309 comparetotmag 7 -.7E+1 -> 0 207 ctmx310 comparetotmag 7 -70E-1 -> 1 208 209 ctmx320 comparetotmag 8.0 -7.0 -> 1 210 ctmx321 comparetotmag 8.0 -7 -> 1 211 ctmx322 comparetotmag 8 -7.0 -> 1 212 ctmx323 comparetotmag 8E+0 -7.0 -> 1 213 ctmx324 comparetotmag 80E-1 -7.0 -> 1 214 ctmx325 comparetotmag .8E+1 -7 -> 1 215 ctmx326 comparetotmag 80E-1 -7 -> 1 216 ctmx327 comparetotmag 8.0 -7E+0 -> 1 217 ctmx328 comparetotmag 8.0 -70E-1 -> 1 218 ctmx329 comparetotmag 8 -.7E+1 -> 1 219 ctmx330 comparetotmag 8 -70E-1 -> 1 220 221 ctmx340 comparetotmag 8.0 -9.0 -> -1 222 ctmx341 comparetotmag 8.0 -9 -> -1 223 ctmx342 comparetotmag 8 -9.0 -> -1 224 ctmx343 comparetotmag 8E+0 -9.0 -> -1 225 ctmx344 comparetotmag 80E-1 -9.0 -> -1 226 ctmx345 comparetotmag .8E+1 -9 -> -1 227 ctmx346 comparetotmag 80E-1 -9 -> -1 228 ctmx347 comparetotmag 8.0 -9E+0 -> -1 229 ctmx348 comparetotmag 8.0 -90E-1 -> -1 230 ctmx349 comparetotmag 8 -.9E+1 -> -1 231 ctmx350 comparetotmag 8 -90E-1 -> -1 232 233 -- and again, with sign changes -- .. 234 ctmx400 comparetotmag -7.0 -7.0 -> 0 235 ctmx401 comparetotmag -7.0 -7 -> -1 236 ctmx402 comparetotmag -7 -7.0 -> 1 237 ctmx403 comparetotmag -7E+0 -7.0 -> 1 238 ctmx404 comparetotmag -70E-1 -7.0 -> 0 239 ctmx405 comparetotmag -.7E+1 -7 -> 0 240 ctmx406 comparetotmag -70E-1 -7 -> -1 241 ctmx407 comparetotmag -7.0 -7E+0 -> -1 242 ctmx408 comparetotmag -7.0 -70E-1 -> 0 243 ctmx409 comparetotmag -7 -.7E+1 -> 0 244 ctmx410 comparetotmag -7 -70E-1 -> 1 245 246 ctmx420 comparetotmag -8.0 -7.0 -> 1 247 ctmx421 comparetotmag -8.0 -7 -> 1 248 ctmx422 comparetotmag -8 -7.0 -> 1 249 ctmx423 comparetotmag -8E+0 -7.0 -> 1 250 ctmx424 comparetotmag -80E-1 -7.0 -> 1 251 ctmx425 comparetotmag -.8E+1 -7 -> 1 252 ctmx426 comparetotmag -80E-1 -7 -> 1 253 ctmx427 comparetotmag -8.0 -7E+0 -> 1 254 ctmx428 comparetotmag -8.0 -70E-1 -> 1 255 ctmx429 comparetotmag -8 -.7E+1 -> 1 256 ctmx430 comparetotmag -8 -70E-1 -> 1 257 258 ctmx440 comparetotmag -8.0 -9.0 -> -1 259 ctmx441 comparetotmag -8.0 -9 -> -1 260 ctmx442 comparetotmag -8 -9.0 -> -1 261 ctmx443 comparetotmag -8E+0 -9.0 -> -1 262 ctmx444 comparetotmag -80E-1 -9.0 -> -1 263 ctmx445 comparetotmag -.8E+1 -9 -> -1 264 ctmx446 comparetotmag -80E-1 -9 -> -1 265 ctmx447 comparetotmag -8.0 -9E+0 -> -1 266 ctmx448 comparetotmag -8.0 -90E-1 -> -1 267 ctmx449 comparetotmag -8 -.9E+1 -> -1 268 ctmx450 comparetotmag -8 -90E-1 -> -1 269 270 271 -- testcases that subtract to lots of zeros at boundaries [pgr] 272 precision: 40 273 ctmx470 comparetotmag 123.4560000000000000E789 123.456E789 -> -1 274 ctmx471 comparetotmag 123.456000000000000E-89 123.456E-89 -> -1 275 ctmx472 comparetotmag 123.45600000000000E789 123.456E789 -> -1 276 ctmx473 comparetotmag 123.4560000000000E-89 123.456E-89 -> -1 277 ctmx474 comparetotmag 123.456000000000E789 123.456E789 -> -1 278 ctmx475 comparetotmag 123.45600000000E-89 123.456E-89 -> -1 279 ctmx476 comparetotmag 123.4560000000E789 123.456E789 -> -1 280 ctmx477 comparetotmag 123.456000000E-89 123.456E-89 -> -1 281 ctmx478 comparetotmag 123.45600000E789 123.456E789 -> -1 282 ctmx479 comparetotmag 123.4560000E-89 123.456E-89 -> -1 283 ctmx480 comparetotmag 123.456000E789 123.456E789 -> -1 284 ctmx481 comparetotmag 123.45600E-89 123.456E-89 -> -1 285 ctmx482 comparetotmag 123.4560E789 123.456E789 -> -1 286 ctmx483 comparetotmag 123.456E-89 123.456E-89 -> 0 287 ctmx484 comparetotmag 123.456E-89 123.4560000000000000E-89 -> 1 288 ctmx485 comparetotmag 123.456E789 123.456000000000000E789 -> 1 289 ctmx486 comparetotmag 123.456E-89 123.45600000000000E-89 -> 1 290 ctmx487 comparetotmag 123.456E789 123.4560000000000E789 -> 1 291 ctmx488 comparetotmag 123.456E-89 123.456000000000E-89 -> 1 292 ctmx489 comparetotmag 123.456E789 123.45600000000E789 -> 1 293 ctmx490 comparetotmag 123.456E-89 123.4560000000E-89 -> 1 294 ctmx491 comparetotmag 123.456E789 123.456000000E789 -> 1 295 ctmx492 comparetotmag 123.456E-89 123.45600000E-89 -> 1 296 ctmx493 comparetotmag 123.456E789 123.4560000E789 -> 1 297 ctmx494 comparetotmag 123.456E-89 123.456000E-89 -> 1 298 ctmx495 comparetotmag 123.456E789 123.45600E789 -> 1 299 ctmx496 comparetotmag 123.456E-89 123.4560E-89 -> 1 300 ctmx497 comparetotmag 123.456E789 123.456E789 -> 0 301 302 -- wide-ranging, around precision; signs equal 303 precision: 9 304 ctmx500 comparetotmag 1 1E-15 -> 1 305 ctmx501 comparetotmag 1 1E-14 -> 1 306 ctmx502 comparetotmag 1 1E-13 -> 1 307 ctmx503 comparetotmag 1 1E-12 -> 1 308 ctmx504 comparetotmag 1 1E-11 -> 1 309 ctmx505 comparetotmag 1 1E-10 -> 1 310 ctmx506 comparetotmag 1 1E-9 -> 1 311 ctmx507 comparetotmag 1 1E-8 -> 1 312 ctmx508 comparetotmag 1 1E-7 -> 1 313 ctmx509 comparetotmag 1 1E-6 -> 1 314 ctmx510 comparetotmag 1 1E-5 -> 1 315 ctmx511 comparetotmag 1 1E-4 -> 1 316 ctmx512 comparetotmag 1 1E-3 -> 1 317 ctmx513 comparetotmag 1 1E-2 -> 1 318 ctmx514 comparetotmag 1 1E-1 -> 1 319 ctmx515 comparetotmag 1 1E-0 -> 0 320 ctmx516 comparetotmag 1 1E+1 -> -1 321 ctmx517 comparetotmag 1 1E+2 -> -1 322 ctmx518 comparetotmag 1 1E+3 -> -1 323 ctmx519 comparetotmag 1 1E+4 -> -1 324 ctmx521 comparetotmag 1 1E+5 -> -1 325 ctmx522 comparetotmag 1 1E+6 -> -1 326 ctmx523 comparetotmag 1 1E+7 -> -1 327 ctmx524 comparetotmag 1 1E+8 -> -1 328 ctmx525 comparetotmag 1 1E+9 -> -1 329 ctmx526 comparetotmag 1 1E+10 -> -1 330 ctmx527 comparetotmag 1 1E+11 -> -1 331 ctmx528 comparetotmag 1 1E+12 -> -1 332 ctmx529 comparetotmag 1 1E+13 -> -1 333 ctmx530 comparetotmag 1 1E+14 -> -1 334 ctmx531 comparetotmag 1 1E+15 -> -1 335 -- LR swap 336 ctmx540 comparetotmag 1E-15 1 -> -1 337 ctmx541 comparetotmag 1E-14 1 -> -1 338 ctmx542 comparetotmag 1E-13 1 -> -1 339 ctmx543 comparetotmag 1E-12 1 -> -1 340 ctmx544 comparetotmag 1E-11 1 -> -1 341 ctmx545 comparetotmag 1E-10 1 -> -1 342 ctmx546 comparetotmag 1E-9 1 -> -1 343 ctmx547 comparetotmag 1E-8 1 -> -1 344 ctmx548 comparetotmag 1E-7 1 -> -1 345 ctmx549 comparetotmag 1E-6 1 -> -1 346 ctmx550 comparetotmag 1E-5 1 -> -1 347 ctmx551 comparetotmag 1E-4 1 -> -1 348 ctmx552 comparetotmag 1E-3 1 -> -1 349 ctmx553 comparetotmag 1E-2 1 -> -1 350 ctmx554 comparetotmag 1E-1 1 -> -1 351 ctmx555 comparetotmag 1E-0 1 -> 0 352 ctmx556 comparetotmag 1E+1 1 -> 1 353 ctmx557 comparetotmag 1E+2 1 -> 1 354 ctmx558 comparetotmag 1E+3 1 -> 1 355 ctmx559 comparetotmag 1E+4 1 -> 1 356 ctmx561 comparetotmag 1E+5 1 -> 1 357 ctmx562 comparetotmag 1E+6 1 -> 1 358 ctmx563 comparetotmag 1E+7 1 -> 1 359 ctmx564 comparetotmag 1E+8 1 -> 1 360 ctmx565 comparetotmag 1E+9 1 -> 1 361 ctmx566 comparetotmag 1E+10 1 -> 1 362 ctmx567 comparetotmag 1E+11 1 -> 1 363 ctmx568 comparetotmag 1E+12 1 -> 1 364 ctmx569 comparetotmag 1E+13 1 -> 1 365 ctmx570 comparetotmag 1E+14 1 -> 1 366 ctmx571 comparetotmag 1E+15 1 -> 1 367 -- similar with an useful coefficient, one side only 368 ctmx580 comparetotmag 0.000000987654321 1E-15 -> 1 369 ctmx581 comparetotmag 0.000000987654321 1E-14 -> 1 370 ctmx582 comparetotmag 0.000000987654321 1E-13 -> 1 371 ctmx583 comparetotmag 0.000000987654321 1E-12 -> 1 372 ctmx584 comparetotmag 0.000000987654321 1E-11 -> 1 373 ctmx585 comparetotmag 0.000000987654321 1E-10 -> 1 374 ctmx586 comparetotmag 0.000000987654321 1E-9 -> 1 375 ctmx587 comparetotmag 0.000000987654321 1E-8 -> 1 376 ctmx588 comparetotmag 0.000000987654321 1E-7 -> 1 377 ctmx589 comparetotmag 0.000000987654321 1E-6 -> -1 378 ctmx590 comparetotmag 0.000000987654321 1E-5 -> -1 379 ctmx591 comparetotmag 0.000000987654321 1E-4 -> -1 380 ctmx592 comparetotmag 0.000000987654321 1E-3 -> -1 381 ctmx593 comparetotmag 0.000000987654321 1E-2 -> -1 382 ctmx594 comparetotmag 0.000000987654321 1E-1 -> -1 383 ctmx595 comparetotmag 0.000000987654321 1E-0 -> -1 384 ctmx596 comparetotmag 0.000000987654321 1E+1 -> -1 385 ctmx597 comparetotmag 0.000000987654321 1E+2 -> -1 386 ctmx598 comparetotmag 0.000000987654321 1E+3 -> -1 387 ctmx599 comparetotmag 0.000000987654321 1E+4 -> -1 388 389 -- check some unit-y traps 390 precision: 20 391 ctmx600 comparetotmag 12 12.2345 -> -1 392 ctmx601 comparetotmag 12.0 12.2345 -> -1 393 ctmx602 comparetotmag 12.00 12.2345 -> -1 394 ctmx603 comparetotmag 12.000 12.2345 -> -1 395 ctmx604 comparetotmag 12.0000 12.2345 -> -1 396 ctmx605 comparetotmag 12.00000 12.2345 -> -1 397 ctmx606 comparetotmag 12.000000 12.2345 -> -1 398 ctmx607 comparetotmag 12.0000000 12.2345 -> -1 399 ctmx608 comparetotmag 12.00000000 12.2345 -> -1 400 ctmx609 comparetotmag 12.000000000 12.2345 -> -1 401 ctmx610 comparetotmag 12.1234 12 -> 1 402 ctmx611 comparetotmag 12.1234 12.0 -> 1 403 ctmx612 comparetotmag 12.1234 12.00 -> 1 404 ctmx613 comparetotmag 12.1234 12.000 -> 1 405 ctmx614 comparetotmag 12.1234 12.0000 -> 1 406 ctmx615 comparetotmag 12.1234 12.00000 -> 1 407 ctmx616 comparetotmag 12.1234 12.000000 -> 1 408 ctmx617 comparetotmag 12.1234 12.0000000 -> 1 409 ctmx618 comparetotmag 12.1234 12.00000000 -> 1 410 ctmx619 comparetotmag 12.1234 12.000000000 -> 1 411 ctmx620 comparetotmag -12 -12.2345 -> -1 412 ctmx621 comparetotmag -12.0 -12.2345 -> -1 413 ctmx622 comparetotmag -12.00 -12.2345 -> -1 414 ctmx623 comparetotmag -12.000 -12.2345 -> -1 415 ctmx624 comparetotmag -12.0000 -12.2345 -> -1 416 ctmx625 comparetotmag -12.00000 -12.2345 -> -1 417 ctmx626 comparetotmag -12.000000 -12.2345 -> -1 418 ctmx627 comparetotmag -12.0000000 -12.2345 -> -1 419 ctmx628 comparetotmag -12.00000000 -12.2345 -> -1 420 ctmx629 comparetotmag -12.000000000 -12.2345 -> -1 421 ctmx630 comparetotmag -12.1234 -12 -> 1 422 ctmx631 comparetotmag -12.1234 -12.0 -> 1 423 ctmx632 comparetotmag -12.1234 -12.00 -> 1 424 ctmx633 comparetotmag -12.1234 -12.000 -> 1 425 ctmx634 comparetotmag -12.1234 -12.0000 -> 1 426 ctmx635 comparetotmag -12.1234 -12.00000 -> 1 427 ctmx636 comparetotmag -12.1234 -12.000000 -> 1 428 ctmx637 comparetotmag -12.1234 -12.0000000 -> 1 429 ctmx638 comparetotmag -12.1234 -12.00000000 -> 1 430 ctmx639 comparetotmag -12.1234 -12.000000000 -> 1 431 precision: 9 432 433 -- extended zeros 434 ctmx640 comparetotmag 0 0 -> 0 435 ctmx641 comparetotmag 0 -0 -> 0 436 ctmx642 comparetotmag 0 -0.0 -> 1 437 ctmx643 comparetotmag 0 0.0 -> 1 438 ctmx644 comparetotmag -0 0 -> 0 439 ctmx645 comparetotmag -0 -0 -> 0 440 ctmx646 comparetotmag -0 -0.0 -> 1 441 ctmx647 comparetotmag -0 0.0 -> 1 442 ctmx648 comparetotmag 0.0 0 -> -1 443 ctmx649 comparetotmag 0.0 -0 -> -1 444 ctmx650 comparetotmag 0.0 -0.0 -> 0 445 ctmx651 comparetotmag 0.0 0.0 -> 0 446 ctmx652 comparetotmag -0.0 0 -> -1 447 ctmx653 comparetotmag -0.0 -0 -> -1 448 ctmx654 comparetotmag -0.0 -0.0 -> 0 449 ctmx655 comparetotmag -0.0 0.0 -> 0 450 451 ctmx656 comparetotmag -0E1 0.0 -> 1 452 ctmx657 comparetotmag -0E2 0.0 -> 1 453 ctmx658 comparetotmag 0E1 0.0 -> 1 454 ctmx659 comparetotmag 0E2 0.0 -> 1 455 ctmx660 comparetotmag -0E1 0 -> 1 456 ctmx661 comparetotmag -0E2 0 -> 1 457 ctmx662 comparetotmag 0E1 0 -> 1 458 ctmx663 comparetotmag 0E2 0 -> 1 459 ctmx664 comparetotmag -0E1 -0E1 -> 0 460 ctmx665 comparetotmag -0E2 -0E1 -> 1 461 ctmx666 comparetotmag 0E1 -0E1 -> 0 462 ctmx667 comparetotmag 0E2 -0E1 -> 1 463 ctmx668 comparetotmag -0E1 -0E2 -> -1 464 ctmx669 comparetotmag -0E2 -0E2 -> 0 465 ctmx670 comparetotmag 0E1 -0E2 -> -1 466 ctmx671 comparetotmag 0E2 -0E2 -> 0 467 ctmx672 comparetotmag -0E1 0E1 -> 0 468 ctmx673 comparetotmag -0E2 0E1 -> 1 469 ctmx674 comparetotmag 0E1 0E1 -> 0 470 ctmx675 comparetotmag 0E2 0E1 -> 1 471 ctmx676 comparetotmag -0E1 0E2 -> -1 472 ctmx677 comparetotmag -0E2 0E2 -> 0 473 ctmx678 comparetotmag 0E1 0E2 -> -1 474 ctmx679 comparetotmag 0E2 0E2 -> 0 475 476 -- trailing zeros; unit-y 477 precision: 20 478 ctmx680 comparetotmag 12 12 -> 0 479 ctmx681 comparetotmag 12 12.0 -> 1 480 ctmx682 comparetotmag 12 12.00 -> 1 481 ctmx683 comparetotmag 12 12.000 -> 1 482 ctmx684 comparetotmag 12 12.0000 -> 1 483 ctmx685 comparetotmag 12 12.00000 -> 1 484 ctmx686 comparetotmag 12 12.000000 -> 1 485 ctmx687 comparetotmag 12 12.0000000 -> 1 486 ctmx688 comparetotmag 12 12.00000000 -> 1 487 ctmx689 comparetotmag 12 12.000000000 -> 1 488 ctmx690 comparetotmag 12 12 -> 0 489 ctmx691 comparetotmag 12.0 12 -> -1 490 ctmx692 comparetotmag 12.00 12 -> -1 491 ctmx693 comparetotmag 12.000 12 -> -1 492 ctmx694 comparetotmag 12.0000 12 -> -1 493 ctmx695 comparetotmag 12.00000 12 -> -1 494 ctmx696 comparetotmag 12.000000 12 -> -1 495 ctmx697 comparetotmag 12.0000000 12 -> -1 496 ctmx698 comparetotmag 12.00000000 12 -> -1 497 ctmx699 comparetotmag 12.000000000 12 -> -1 498 499 -- long operand checks 500 maxexponent: 999 501 minexponent: -999 502 precision: 9 503 ctmx701 comparetotmag 12345678000 1 -> 1 504 ctmx702 comparetotmag 1 12345678000 -> -1 505 ctmx703 comparetotmag 1234567800 1 -> 1 506 ctmx704 comparetotmag 1 1234567800 -> -1 507 ctmx705 comparetotmag 1234567890 1 -> 1 508 ctmx706 comparetotmag 1 1234567890 -> -1 509 ctmx707 comparetotmag 1234567891 1 -> 1 510 ctmx708 comparetotmag 1 1234567891 -> -1 511 ctmx709 comparetotmag 12345678901 1 -> 1 512 ctmx710 comparetotmag 1 12345678901 -> -1 513 ctmx711 comparetotmag 1234567896 1 -> 1 514 ctmx712 comparetotmag 1 1234567896 -> -1 515 ctmx713 comparetotmag -1234567891 1 -> 1 516 ctmx714 comparetotmag 1 -1234567891 -> -1 517 ctmx715 comparetotmag -12345678901 1 -> 1 518 ctmx716 comparetotmag 1 -12345678901 -> -1 519 ctmx717 comparetotmag -1234567896 1 -> 1 520 ctmx718 comparetotmag 1 -1234567896 -> -1 521 522 precision: 15 523 -- same with plenty of precision 524 ctmx721 comparetotmag 12345678000 1 -> 1 525 ctmx722 comparetotmag 1 12345678000 -> -1 526 ctmx723 comparetotmag 1234567800 1 -> 1 527 ctmx724 comparetotmag 1 1234567800 -> -1 528 ctmx725 comparetotmag 1234567890 1 -> 1 529 ctmx726 comparetotmag 1 1234567890 -> -1 530 ctmx727 comparetotmag 1234567891 1 -> 1 531 ctmx728 comparetotmag 1 1234567891 -> -1 532 ctmx729 comparetotmag 12345678901 1 -> 1 533 ctmx730 comparetotmag 1 12345678901 -> -1 534 ctmx731 comparetotmag 1234567896 1 -> 1 535 ctmx732 comparetotmag 1 1234567896 -> -1 536 537 -- residue cases 538 precision: 5 539 ctmx740 comparetotmag 1 0.9999999 -> 1 540 ctmx741 comparetotmag 1 0.999999 -> 1 541 ctmx742 comparetotmag 1 0.99999 -> 1 542 ctmx743 comparetotmag 1 1.0000 -> 1 543 ctmx744 comparetotmag 1 1.00001 -> -1 544 ctmx745 comparetotmag 1 1.000001 -> -1 545 ctmx746 comparetotmag 1 1.0000001 -> -1 546 ctmx750 comparetotmag 0.9999999 1 -> -1 547 ctmx751 comparetotmag 0.999999 1 -> -1 548 ctmx752 comparetotmag 0.99999 1 -> -1 549 ctmx753 comparetotmag 1.0000 1 -> -1 550 ctmx754 comparetotmag 1.00001 1 -> 1 551 ctmx755 comparetotmag 1.000001 1 -> 1 552 ctmx756 comparetotmag 1.0000001 1 -> 1 553 554 -- a selection of longies 555 ctmx760 comparetotmag -36852134.84194296250843579428931 -5830629.8347085025808756560357940 -> 1 556 ctmx761 comparetotmag -36852134.84194296250843579428931 -36852134.84194296250843579428931 -> 0 557 ctmx762 comparetotmag -36852134.94194296250843579428931 -36852134.84194296250843579428931 -> 1 558 ctmx763 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 559 -- precisions above or below the difference should have no effect 560 precision: 11 561 ctmx764 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 562 precision: 10 563 ctmx765 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 564 precision: 9 565 ctmx766 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 566 precision: 8 567 ctmx767 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 568 precision: 7 569 ctmx768 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 570 precision: 6 571 ctmx769 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 572 precision: 5 573 ctmx770 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 574 precision: 4 575 ctmx771 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 576 precision: 3 577 ctmx772 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 578 precision: 2 579 ctmx773 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 580 precision: 1 581 ctmx774 comparetotmag -36852134.84194296250843579428931 -36852134.94194296250843579428931 -> -1 582 583 -- Specials 584 precision: 9 585 ctmx780 comparetotmag Inf -Inf -> 0 586 ctmx781 comparetotmag Inf -1000 -> 1 587 ctmx782 comparetotmag Inf -1 -> 1 588 ctmx783 comparetotmag Inf -0 -> 1 589 ctmx784 comparetotmag Inf 0 -> 1 590 ctmx785 comparetotmag Inf 1 -> 1 591 ctmx786 comparetotmag Inf 1000 -> 1 592 ctmx787 comparetotmag Inf Inf -> 0 593 ctmx788 comparetotmag -1000 Inf -> -1 594 ctmx789 comparetotmag -Inf Inf -> 0 595 ctmx790 comparetotmag -1 Inf -> -1 596 ctmx791 comparetotmag -0 Inf -> -1 597 ctmx792 comparetotmag 0 Inf -> -1 598 ctmx793 comparetotmag 1 Inf -> -1 599 ctmx794 comparetotmag 1000 Inf -> -1 600 ctmx795 comparetotmag Inf Inf -> 0 601 602 ctmx800 comparetotmag -Inf -Inf -> 0 603 ctmx801 comparetotmag -Inf -1000 -> 1 604 ctmx802 comparetotmag -Inf -1 -> 1 605 ctmx803 comparetotmag -Inf -0 -> 1 606 ctmx804 comparetotmag -Inf 0 -> 1 607 ctmx805 comparetotmag -Inf 1 -> 1 608 ctmx806 comparetotmag -Inf 1000 -> 1 609 ctmx807 comparetotmag -Inf Inf -> 0 610 ctmx808 comparetotmag -Inf -Inf -> 0 611 ctmx809 comparetotmag -1000 -Inf -> -1 612 ctmx810 comparetotmag -1 -Inf -> -1 613 ctmx811 comparetotmag -0 -Inf -> -1 614 ctmx812 comparetotmag 0 -Inf -> -1 615 ctmx813 comparetotmag 1 -Inf -> -1 616 ctmx814 comparetotmag 1000 -Inf -> -1 617 ctmx815 comparetotmag Inf -Inf -> 0 618 619 ctmx821 comparetotmag NaN -Inf -> 1 620 ctmx822 comparetotmag NaN -1000 -> 1 621 ctmx823 comparetotmag NaN -1 -> 1 622 ctmx824 comparetotmag NaN -0 -> 1 623 ctmx825 comparetotmag NaN 0 -> 1 624 ctmx826 comparetotmag NaN 1 -> 1 625 ctmx827 comparetotmag NaN 1000 -> 1 626 ctmx828 comparetotmag NaN Inf -> 1 627 ctmx829 comparetotmag NaN NaN -> 0 628 ctmx830 comparetotmag -Inf NaN -> -1 629 ctmx831 comparetotmag -1000 NaN -> -1 630 ctmx832 comparetotmag -1 NaN -> -1 631 ctmx833 comparetotmag -0 NaN -> -1 632 ctmx834 comparetotmag 0 NaN -> -1 633 ctmx835 comparetotmag 1 NaN -> -1 634 ctmx836 comparetotmag 1000 NaN -> -1 635 ctmx837 comparetotmag Inf NaN -> -1 636 ctmx838 comparetotmag -NaN -NaN -> 0 637 ctmx839 comparetotmag +NaN -NaN -> 0 638 ctmx840 comparetotmag -NaN +NaN -> 0 639 640 ctmx841 comparetotmag sNaN -sNaN -> 0 641 ctmx842 comparetotmag sNaN -NaN -> -1 642 ctmx843 comparetotmag sNaN -Inf -> 1 643 ctmx844 comparetotmag sNaN -1000 -> 1 644 ctmx845 comparetotmag sNaN -1 -> 1 645 ctmx846 comparetotmag sNaN -0 -> 1 646 ctmx847 comparetotmag sNaN 0 -> 1 647 ctmx848 comparetotmag sNaN 1 -> 1 648 ctmx849 comparetotmag sNaN 1000 -> 1 649 ctmx850 comparetotmag sNaN NaN -> -1 650 ctmx851 comparetotmag sNaN sNaN -> 0 651 652 ctmx852 comparetotmag -sNaN sNaN -> 0 653 ctmx853 comparetotmag -NaN sNaN -> 1 654 ctmx854 comparetotmag -Inf sNaN -> -1 655 ctmx855 comparetotmag -1000 sNaN -> -1 656 ctmx856 comparetotmag -1 sNaN -> -1 657 ctmx857 comparetotmag -0 sNaN -> -1 658 ctmx858 comparetotmag 0 sNaN -> -1 659 ctmx859 comparetotmag 1 sNaN -> -1 660 ctmx860 comparetotmag 1000 sNaN -> -1 661 ctmx861 comparetotmag Inf sNaN -> -1 662 ctmx862 comparetotmag NaN sNaN -> 1 663 ctmx863 comparetotmag sNaN sNaN -> 0 664 665 ctmx871 comparetotmag -sNaN -sNaN -> 0 666 ctmx872 comparetotmag -sNaN -NaN -> -1 667 ctmx873 comparetotmag -sNaN -Inf -> 1 668 ctmx874 comparetotmag -sNaN -1000 -> 1 669 ctmx875 comparetotmag -sNaN -1 -> 1 670 ctmx876 comparetotmag -sNaN -0 -> 1 671 ctmx877 comparetotmag -sNaN 0 -> 1 672 ctmx878 comparetotmag -sNaN 1 -> 1 673 ctmx879 comparetotmag -sNaN 1000 -> 1 674 ctmx880 comparetotmag -sNaN NaN -> -1 675 ctmx881 comparetotmag -sNaN sNaN -> 0 676 677 ctmx882 comparetotmag -sNaN -sNaN -> 0 678 ctmx883 comparetotmag -NaN -sNaN -> 1 679 ctmx884 comparetotmag -Inf -sNaN -> -1 680 ctmx885 comparetotmag -1000 -sNaN -> -1 681 ctmx886 comparetotmag -1 -sNaN -> -1 682 ctmx887 comparetotmag -0 -sNaN -> -1 683 ctmx888 comparetotmag 0 -sNaN -> -1 684 ctmx889 comparetotmag 1 -sNaN -> -1 685 ctmx890 comparetotmag 1000 -sNaN -> -1 686 ctmx891 comparetotmag Inf -sNaN -> -1 687 ctmx892 comparetotmag NaN -sNaN -> 1 688 ctmx893 comparetotmag sNaN -sNaN -> 0 689 690 -- NaNs with payload 691 ctmx960 comparetotmag NaN9 -Inf -> 1 692 ctmx961 comparetotmag NaN8 999 -> 1 693 ctmx962 comparetotmag NaN77 Inf -> 1 694 ctmx963 comparetotmag -NaN67 NaN5 -> 1 695 ctmx964 comparetotmag -Inf -NaN4 -> -1 696 ctmx965 comparetotmag -999 -NaN33 -> -1 697 ctmx966 comparetotmag Inf NaN2 -> -1 698 699 ctmx970 comparetotmag -NaN41 -NaN42 -> -1 700 ctmx971 comparetotmag +NaN41 -NaN42 -> -1 701 ctmx972 comparetotmag -NaN41 +NaN42 -> -1 702 ctmx973 comparetotmag +NaN41 +NaN42 -> -1 703 ctmx974 comparetotmag -NaN42 -NaN01 -> 1 704 ctmx975 comparetotmag +NaN42 -NaN01 -> 1 705 ctmx976 comparetotmag -NaN42 +NaN01 -> 1 706 ctmx977 comparetotmag +NaN42 +NaN01 -> 1 707 708 ctmx980 comparetotmag -sNaN771 -sNaN772 -> -1 709 ctmx981 comparetotmag +sNaN771 -sNaN772 -> -1 710 ctmx982 comparetotmag -sNaN771 +sNaN772 -> -1 711 ctmx983 comparetotmag +sNaN771 +sNaN772 -> -1 712 ctmx984 comparetotmag -sNaN772 -sNaN771 -> 1 713 ctmx985 comparetotmag +sNaN772 -sNaN771 -> 1 714 ctmx986 comparetotmag -sNaN772 +sNaN771 -> 1 715 ctmx987 comparetotmag +sNaN772 +sNaN771 -> 1 716 717 ctmx991 comparetotmag -sNaN99 -Inf -> 1 718 ctmx992 comparetotmag sNaN98 -11 -> 1 719 ctmx993 comparetotmag sNaN97 NaN -> -1 720 ctmx994 comparetotmag sNaN16 sNaN94 -> -1 721 ctmx995 comparetotmag NaN85 sNaN83 -> 1 722 ctmx996 comparetotmag -Inf sNaN92 -> -1 723 ctmx997 comparetotmag 088 sNaN81 -> -1 724 ctmx998 comparetotmag Inf sNaN90 -> -1 725 ctmx999 comparetotmag NaN -sNaN89 -> 1 726 727 -- overflow and underflow tests .. subnormal results now allowed 728 maxExponent: 999999999 729 minexponent: -999999999 730 ctmx1080 comparetotmag +1.23456789012345E-0 9E+999999999 -> -1 731 ctmx1081 comparetotmag 9E+999999999 +1.23456789012345E-0 -> 1 732 ctmx1082 comparetotmag +0.100 9E-999999999 -> 1 733 ctmx1083 comparetotmag 9E-999999999 +0.100 -> -1 734 ctmx1085 comparetotmag -1.23456789012345E-0 9E+999999999 -> -1 735 ctmx1086 comparetotmag 9E+999999999 -1.23456789012345E-0 -> 1 736 ctmx1087 comparetotmag -0.100 9E-999999999 -> 1 737 ctmx1088 comparetotmag 9E-999999999 -0.100 -> -1 738 739 ctmx1089 comparetotmag 1e-599999999 1e-400000001 -> -1 740 ctmx1090 comparetotmag 1e-599999999 1e-400000000 -> -1 741 ctmx1091 comparetotmag 1e-600000000 1e-400000000 -> -1 742 ctmx1092 comparetotmag 9e-999999998 0.01 -> -1 743 ctmx1093 comparetotmag 9e-999999998 0.1 -> -1 744 ctmx1094 comparetotmag 0.01 9e-999999998 -> 1 745 ctmx1095 comparetotmag 1e599999999 1e400000001 -> 1 746 ctmx1096 comparetotmag 1e599999999 1e400000000 -> 1 747 ctmx1097 comparetotmag 1e600000000 1e400000000 -> 1 748 ctmx1098 comparetotmag 9e999999998 100 -> 1 749 ctmx1099 comparetotmag 9e999999998 10 -> 1 750 ctmx1100 comparetotmag 100 9e999999998 -> -1 751 -- signs 752 ctmx1101 comparetotmag 1e+777777777 1e+411111111 -> 1 753 ctmx1102 comparetotmag 1e+777777777 -1e+411111111 -> 1 754 ctmx1103 comparetotmag -1e+777777777 1e+411111111 -> 1 755 ctmx1104 comparetotmag -1e+777777777 -1e+411111111 -> 1 756 ctmx1105 comparetotmag 1e-777777777 1e-411111111 -> -1 757 ctmx1106 comparetotmag 1e-777777777 -1e-411111111 -> -1 758 ctmx1107 comparetotmag -1e-777777777 1e-411111111 -> -1 759 ctmx1108 comparetotmag -1e-777777777 -1e-411111111 -> -1 760 761 -- spread zeros 762 ctmx1110 comparetotmag 0E-383 0 -> -1 763 ctmx1111 comparetotmag 0E-383 -0 -> -1 764 ctmx1112 comparetotmag -0E-383 0 -> -1 765 ctmx1113 comparetotmag -0E-383 -0 -> -1 766 ctmx1114 comparetotmag 0E-383 0E+384 -> -1 767 ctmx1115 comparetotmag 0E-383 -0E+384 -> -1 768 ctmx1116 comparetotmag -0E-383 0E+384 -> -1 769 ctmx1117 comparetotmag -0E-383 -0E+384 -> -1 770 ctmx1118 comparetotmag 0 0E+384 -> -1 771 ctmx1119 comparetotmag 0 -0E+384 -> -1 772 ctmx1120 comparetotmag -0 0E+384 -> -1 773 ctmx1121 comparetotmag -0 -0E+384 -> -1 774 775 ctmx1130 comparetotmag 0E+384 0 -> 1 776 ctmx1131 comparetotmag 0E+384 -0 -> 1 777 ctmx1132 comparetotmag -0E+384 0 -> 1 778 ctmx1133 comparetotmag -0E+384 -0 -> 1 779 ctmx1134 comparetotmag 0E+384 0E-383 -> 1 780 ctmx1135 comparetotmag 0E+384 -0E-383 -> 1 781 ctmx1136 comparetotmag -0E+384 0E-383 -> 1 782 ctmx1137 comparetotmag -0E+384 -0E-383 -> 1 783 ctmx1138 comparetotmag 0 0E-383 -> 1 784 ctmx1139 comparetotmag 0 -0E-383 -> 1 785 ctmx1140 comparetotmag -0 0E-383 -> 1 786 ctmx1141 comparetotmag -0 -0E-383 -> 1 787 788 -- Null tests 789 ctmx9990 comparetotmag 10 # -> NaN Invalid_operation 790 ctmx9991 comparetotmag # 10 -> NaN Invalid_operation 791