lib/Math/BigInt/t/bigfltpm.inc

   1 #include this file into another test for subclass testing...
   2 while (<DATA>)
   3   {
   4   chop;
   5   $_ =~ s/#.*$//;       # remove comments
   6   $_ =~ s/\s+$//;       # trailing spaces
   7   next if /^$/;         # skip empty lines & comments
   8   if (s/^&//)
   9     {
  10     $f = $_;
  11     }
  12   elsif (/^\$/)
  13     {
  14     $setup = $_; $setup =~ s/\$/\$${class}::/g; # round_mode, div_scale
  15     #print "\$setup== $setup\n";
  16     }
  17   else
  18     {
  19     if (m|^(.*?):(/.+)$|)
  20       {
  21       $ans = $2;
  22       @args = split(/:/,$1,99);
  23       }
  24     else
  25       {
  26       @args = split(/:/,$_,99); $ans = pop(@args);
  27       }
  28     $try = "\$x = new $class \"$args[0]\";";
  29     if ($f eq "fnorm")
  30       {
  31         $try .= "\$x;";
  32       } elsif ($f eq "finf") {
  33         $try .= "\$x->finf('$args[1]');";
  34       } elsif ($f eq "fnan") {
  35         $try .= "\$x->fnan();";
  36       } elsif ($f eq "numify") {
  37         $try .= "\$x->numify();";
  38       } elsif ($f eq "fone") {
  39         $try .= "\$x->bone('$args[1]');";
  40       } elsif ($f eq "fstr") {
  41         $try .= "\$x->accuracy($args[1]); \$x->precision($args[2]);";
  42         $try .= '$x->fstr();';
  43       } elsif ($f eq "fsstr") {
  44         $try .= '$x->fsstr();';
  45       } elsif ($f eq "parts") {
  46         # ->bstr() to see if an object is returned
  47         $try .= '($a,$b) = $x->parts(); $a = $a->bstr(); $b = $b->bstr();';
  48         $try .= '"$a $b";';
  49       } elsif ($f eq "length") {
  50         $try .= '$x->length();';
  51       } elsif ($f eq "exponent") {
  52         # ->bstr() to see if an object is returned
  53         $try .= '$x->exponent()->bstr();';
  54       } elsif ($f eq "mantissa") {
  55         # ->bstr() to see if an object is returned
  56         $try .= '$x->mantissa()->bstr();';
  57       } elsif ($f eq "fneg") {
  58         $try .= '$x->bneg();';
  59       } elsif ($f eq "fnorm") {
  60         $try .= '$x->fnorm();';
  61       } elsif ($f eq "bfloor") {
  62         $try .= '$x->ffloor();';
  63       } elsif ($f eq "bceil") {
  64         $try .= '$x->fceil();';
  65       } elsif ($f eq "is_zero") {
  66         $try .= '$x->is_zero();';
  67       } elsif ($f eq "is_one") {
  68         $try .= '$x->is_one();';
  69       } elsif ($f eq "is_positive") {
  70         $try .= '$x->is_positive();';
  71       } elsif ($f eq "is_negative") {
  72         $try .= '$x->is_negative();';
  73       } elsif ($f eq "is_odd") {
  74         $try .= '$x->is_odd();';
  75       } elsif ($f eq "is_even") {
  76         $try .= '$x->is_even();';
  77       } elsif ($f eq "as_number") {
  78         $try .= '$x->as_number();';
  79       } elsif ($f eq "fabs") {
  80         $try .= '$x->fabs();';
  81       } elsif ($f eq "finc") {
  82         $try .= '++$x;';
  83       } elsif ($f eq "fdec") {
  84         $try .= '--$x;';
  85       }elsif ($f eq "fround") {
  86         $try .= "$setup; \$x->fround($args[1]);";
  87       } elsif ($f eq "ffround") {
  88         $try .= "$setup; \$x->ffround($args[1]);";
  89       } elsif ($f eq "fsqrt") {
  90         $try .= "$setup; \$x->fsqrt();";
  91       }
  92     else
  93       {
  94       $try .= "\$y = new $class \"$args[1]\";";
  95       if ($f eq "fcmp") {
  96         $try .= '$x <=> $y;';
  97       } elsif ($f eq "facmp") {
  98         $try .= '$x->facmp($y);';
  99       } elsif ($f eq "fpow") {
 100         $try .= '$x ** $y;';
 101       } elsif ($f eq "fadd") {
 102         $try .= '$x + $y;';
 103       } elsif ($f eq "fsub") {
 104         $try .= '$x - $y;';
 105       } elsif ($f eq "fmul") {
 106         $try .= '$x * $y;';
 107       } elsif ($f eq "fdiv") {
 108         $try .= "$setup; \$x / \$y;";
 109       } elsif ($f eq "fmod") {
 110         $try .= '$x % $y;';
 111       } else { warn "Unknown op '$f'"; }
 112     }
 113     $ans1 = eval $try;
 114     if ($ans =~ m|^/(.*)$|)
 115       {
 116       my $pat = $1;
 117       if ($ans1 =~ /$pat/)
 118         {
 119         ok (1,1);
 120         }
 121       else
 122         {
 123         print "# '$try' expected: /$pat/ got: '$ans1'\n" if !ok(1,0);
 124         }
 125       }
 126     else
 127       {
 128       if ($ans eq "")
 129         {
 130         ok_undef ($ans1);
 131         }
 132       else
 133         {
 134         print "# Tried: '$try'\n" if !ok ($ans1, $ans);
 135         if (ref($ans1) eq "$class")
 136           {
 137           #print $ans1->_trailing_zeros(),"\n";
 138           print "# Has trailing zeros after '$try'\n"
 139            if !ok ($ans1->{_m}->_trailing_zeros(), 0);
 140           }
 141         }
 142       } # end pattern or string
 143     }
 144   } # end while
 145
 146 # check whether new() for BigInts destroys them ($y == 12 in this case)
 147 $x = Math::BigInt->new(1200); $y = $class->new($x);
 148 ok ($y,1200); ok ($x,1200);
 149
 150 ###############################################################################
 151 # fdiv() in list context
 152 $x = $class->bzero(); ($x,$y) = $x->fdiv(0);
 153 ok ($x,'NaN'); ok ($y,'NaN');
 154
 155 # fdiv() in list context
 156 $x = $class->bzero(); ($x,$y) = $x->fdiv(1);
 157 ok ($x,0); ok ($y,0);
 158
 159 # all done
 160
 161 ###############################################################################
 162 # Perl 5.005 does not like ok ($x,undef)
 163
 164 sub ok_undef
 165   {
 166   my $x = shift;
 167
 168   ok (1,1) and return if !defined $x;
 169   ok ($x,'undef');
 170   }
 171
 172 __DATA__
 173 &fnorm
 174 1:1
 175 -0:0
 176 fnormNaN:NaN
 177 +inf:inf
 178 -inf:-inf
 179 123:123
 180 -123.4567:-123.4567
 181 &as_number
 182 0:0
 183 1:1
 184 1.2:1
 185 2.345:2
 186 -2:-2
 187 -123.456:-123
 188 -200:-200
 189 &finf
 190 1:+:inf
 191 2:-:-inf
 192 3:abc:inf
 193 &numify
 194 0:0e+1
 195 +1:1e+0
 196 1234:1234e+0
 197 NaN:NaN
 198 +inf:inf
 199 -inf:-inf
 200 &fnan
 201 abc:NaN
 202 2:NaN
 203 -2:NaN
 204 0:NaN
 205 &fone
 206 2:+:1
 207 -2:-:-1
 208 -2:+:1
 209 2:-:-1
 210 0::1
 211 -2::1
 212 abc::1
 213 2:abc:1
 214 &fsstr
 215 +inf:inf
 216 -inf:-inf
 217 abcfsstr:NaN
 218 1234.567:1234567e-3
 219 &fstr
 220 +inf:::inf
 221 -inf:::-inf
 222 abcfstr:::NaN
 223 1234.567:9::1234.56700
 224 1234.567::-6:1234.567000
 225 12345:5::12345
 226 0.001234:6::0.00123400
 227 0.001234::-8:0.00123400
 228 0:4::0
 229 0::-4:0.0000
 230 &fnorm
 231 inf:inf
 232 +inf:inf
 233 -inf:-inf
 234 +infinity:NaN
 235 +-inf:NaN
 236 abc:NaN
 237    1 a:NaN
 238 1bcd2:NaN
 239 11111b:NaN
 240 +1z:NaN
 241 -1z:NaN
 242 0:0
 243 +0:0
 244 +00:0
 245 +0_0_0:0
 246 000000_0000000_00000:0
 247 -0:0
 248 -0000:0
 249 +1:1
 250 +01:1
 251 +001:1
 252 +00000100000:100000
 253 123456789:123456789
 254 -1:-1
 255 -01:-1
 256 -001:-1
 257 -123456789:-123456789
 258 -00000100000:-100000
 259 123.456a:NaN
 260 123.456:123.456
 261 0.01:0.01
 262 .002:0.002
 263 +.2:0.2
 264 -0.0003:-0.0003
 265 -.0000000004:-0.0000000004
 266 123456E2:12345600
 267 123456E-2:1234.56
 268 -123456E2:-12345600
 269 -123456E-2:-1234.56
 270 1e1:10
 271 2e-11:0.00000000002
 272 # excercise _split
 273   .02e-1:0.002
 274    000001:1
 275    -00001:-1
 276    -1:-1
 277   000.01:0.01
 278    -000.0023:-0.0023
 279   1.1e1:11
 280 -3e111:-3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
 281 -4e-1111:-0.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004
 282 &fpow
 283 2:2:4
 284 1:2:1
 285 1:3:1
 286 -1:2:1
 287 -1:3:-1
 288 123.456:2:15241.383936
 289 2:-2:0.25
 290 2:-3:0.125
 291 128:-2:0.00006103515625
 292 abc:123.456:NaN
 293 123.456:abc:NaN
 294 +inf:123.45:inf
 295 -inf:123.45:-inf
 296 +inf:-123.45:inf
 297 -inf:-123.45:-inf
 298 &fneg
 299 fnegNaN:NaN
 300 +inf:-inf
 301 -inf:inf
 302 +0:0
 303 +1:-1
 304 -1:1
 305 +123456789:-123456789
 306 -123456789:123456789
 307 +123.456789:-123.456789
 308 -123456.789:123456.789
 309 &fabs
 310 fabsNaN:NaN
 311 +inf:inf
 312 -inf:inf
 313 +0:0
 314 +1:1
 315 -1:1
 316 +123456789:123456789
 317 -123456789:123456789
 318 +123.456789:123.456789
 319 -123456.789:123456.789
 320 &fround
 321 $round_mode = "trunc"
 322 +inf:5:inf
 323 -inf:5:-inf
 324 0:5:0
 325 NaNfround:5:NaN
 326 +10123456789:5:10123000000
 327 -10123456789:5:-10123000000
 328 +10123456789.123:5:10123000000
 329 -10123456789.123:5:-10123000000
 330 +10123456789:9:10123456700
 331 -10123456789:9:-10123456700
 332 +101234500:6:101234000
 333 -101234500:6:-101234000
 334 $round_mode = "zero"
 335 +20123456789:5:20123000000
 336 -20123456789:5:-20123000000
 337 +20123456789.123:5:20123000000
 338 -20123456789.123:5:-20123000000
 339 +20123456789:9:20123456800
 340 -20123456789:9:-20123456800
 341 +201234500:6:201234000
 342 -201234500:6:-201234000
 343 $round_mode = "+inf"
 344 +30123456789:5:30123000000
 345 -30123456789:5:-30123000000
 346 +30123456789.123:5:30123000000
 347 -30123456789.123:5:-30123000000
 348 +30123456789:9:30123456800
 349 -30123456789:9:-30123456800
 350 +301234500:6:301235000
 351 -301234500:6:-301234000
 352 $round_mode = "-inf"
 353 +40123456789:5:40123000000
 354 -40123456789:5:-40123000000
 355 +40123456789.123:5:40123000000
 356 -40123456789.123:5:-40123000000
 357 +40123456789:9:40123456800
 358 -40123456789:9:-40123456800
 359 +401234500:6:401234000
 360 -401234500:6:-401235000
 361 $round_mode = "odd"
 362 +50123456789:5:50123000000
 363 -50123456789:5:-50123000000
 364 +50123456789.123:5:50123000000
 365 -50123456789.123:5:-50123000000
 366 +50123456789:9:50123456800
 367 -50123456789:9:-50123456800
 368 +501234500:6:501235000
 369 -501234500:6:-501235000
 370 $round_mode = "even"
 371 +60123456789:5:60123000000
 372 -60123456789:5:-60123000000
 373 +60123456789:9:60123456800
 374 -60123456789:9:-60123456800
 375 +601234500:6:601234000
 376 -601234500:6:-601234000
 377 +60123456789.0123:5:60123000000
 378 -60123456789.0123:5:-60123000000
 379 &ffround
 380 $round_mode = "trunc"
 381 +inf:5:inf
 382 -inf:5:-inf
 383 0:5:0
 384 NaNffround:5:NaN
 385 +1.23:-1:1.2
 386 +1.234:-1:1.2
 387 +1.2345:-1:1.2
 388 +1.23:-2:1.23
 389 +1.234:-2:1.23
 390 +1.2345:-2:1.23
 391 +1.23:-3:1.230
 392 +1.234:-3:1.234
 393 +1.2345:-3:1.234
 394 -1.23:-1:-1.2
 395 +1.27:-1:1.2
 396 -1.27:-1:-1.2
 397 +1.25:-1:1.2
 398 -1.25:-1:-1.2
 399 +1.35:-1:1.3
 400 -1.35:-1:-1.3
 401 -0.0061234567890:-1:0.0
 402 -0.0061:-1:0.0
 403 -0.00612:-1:0.0
 404 -0.00612:-2:0.00
 405 -0.006:-1:0.0
 406 -0.006:-2:0.00
 407 -0.0006:-2:0.00
 408 -0.0006:-3:0.000
 409 -0.0065:-3:/-0\.006|-6e-03
 410 -0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 411 -0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 412 0.05:0:0
 413 0.5:0:0
 414 0.51:0:0
 415 0.41:0:0
 416 $round_mode = "zero"
 417 +2.23:-1:/2.2(?:0{5}\d+)?
 418 -2.23:-1:/-2.2(?:0{5}\d+)?
 419 +2.27:-1:/2.(?:3|29{5}\d+)
 420 -2.27:-1:/-2.(?:3|29{5}\d+)
 421 +2.25:-1:/2.2(?:0{5}\d+)?
 422 -2.25:-1:/-2.2(?:0{5}\d+)?
 423 +2.35:-1:/2.(?:3|29{5}\d+)
 424 -2.35:-1:/-2.(?:3|29{5}\d+)
 425 -0.0065:-1:0.0
 426 -0.0065:-2:/-0\.01|-1e-02
 427 -0.0065:-3:/-0\.006|-6e-03
 428 -0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 429 -0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 430 0.05:0:0
 431 0.5:0:0
 432 0.51:0:1
 433 0.41:0:0
 434 $round_mode = "+inf"
 435 +3.23:-1:/3.2(?:0{5}\d+)?
 436 -3.23:-1:/-3.2(?:0{5}\d+)?
 437 +3.27:-1:/3.(?:3|29{5}\d+)
 438 -3.27:-1:/-3.(?:3|29{5}\d+)
 439 +3.25:-1:/3.(?:3|29{5}\d+)
 440 -3.25:-1:/-3.2(?:0{5}\d+)?
 441 +3.35:-1:/3.(?:4|39{5}\d+)
 442 -3.35:-1:/-3.(?:3|29{5}\d+)
 443 -0.0065:-1:0.0
 444 -0.0065:-2:/-0\.01|-1e-02
 445 -0.0065:-3:/-0\.006|-6e-03
 446 -0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 447 -0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 448 0.05:0:0
 449 0.5:0:1
 450 0.51:0:1
 451 0.41:0:0
 452 $round_mode = "-inf"
 453 +4.23:-1:/4.2(?:0{5}\d+)?
 454 -4.23:-1:/-4.2(?:0{5}\d+)?
 455 +4.27:-1:/4.(?:3|29{5}\d+)
 456 -4.27:-1:/-4.(?:3|29{5}\d+)
 457 +4.25:-1:/4.2(?:0{5}\d+)?
 458 -4.25:-1:/-4.(?:3|29{5}\d+)
 459 +4.35:-1:/4.(?:3|29{5}\d+)
 460 -4.35:-1:/-4.(?:4|39{5}\d+)
 461 -0.0065:-1:0.0
 462 -0.0065:-2:/-0\.01|-1e-02
 463 -0.0065:-3:/-0\.007|-7e-03
 464 -0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 465 -0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 466 0.05:0:0
 467 0.5:0:0
 468 0.51:0:1
 469 0.41:0:0
 470 $round_mode = "odd"
 471 +5.23:-1:/5.2(?:0{5}\d+)?
 472 -5.23:-1:/-5.2(?:0{5}\d+)?
 473 +5.27:-1:/5.(?:3|29{5}\d+)
 474 -5.27:-1:/-5.(?:3|29{5}\d+)
 475 +5.25:-1:/5.(?:3|29{5}\d+)
 476 -5.25:-1:/-5.(?:3|29{5}\d+)
 477 +5.35:-1:/5.(?:3|29{5}\d+)
 478 -5.35:-1:/-5.(?:3|29{5}\d+)
 479 -0.0065:-1:0.0
 480 -0.0065:-2:/-0\.01|-1e-02
 481 -0.0065:-3:/-0\.007|-7e-03
 482 -0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 483 -0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 484 0.05:0:0
 485 0.5:0:1
 486 0.51:0:1
 487 0.41:0:0
 488 $round_mode = "even"
 489 +6.23:-1:/6.2(?:0{5}\d+)?
 490 -6.23:-1:/-6.2(?:0{5}\d+)?
 491 +6.27:-1:/6.(?:3|29{5}\d+)
 492 -6.27:-1:/-6.(?:3|29{5}\d+)
 493 +6.25:-1:/6.(?:2(?:0{5}\d+)?|29{5}\d+)
 494 -6.25:-1:/-6.(?:2(?:0{5}\d+)?|29{5}\d+)
 495 +6.35:-1:/6.(?:4|39{5}\d+|29{8}\d+)
 496 -6.35:-1:/-6.(?:4|39{5}\d+|29{8}\d+)
 497 -0.0065:-1:0.0
 498 -0.0065:-2:/-0\.01|-1e-02
 499 -0.0065:-3:/-0\.006|-7e-03
 500 -0.0065:-4:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 501 -0.0065:-5:/-0\.006(?:5|49{5}\d+)|-6\.5e-03
 502 0.05:0:0
 503 0.5:0:0
 504 0.51:0:1
 505 0.41:0:0
 506 0.01234567:-3:0.012
 507 0.01234567:-4:0.0123
 508 0.01234567:-5:0.01235
 509 0.01234567:-6:0.012346
 510 0.01234567:-7:0.0123457
 511 0.01234567:-8:0.01234567
 512 0.01234567:-9:0.012345670
 513 0.01234567:-12:0.012345670000
 514 &fcmp
 515 fcmpNaN:fcmpNaN:
 516 fcmpNaN:+0:
 517 +0:fcmpNaN:
 518 +0:+0:0
 519 -1:+0:-1
 520 +0:-1:1
 521 +1:+0:1
 522 +0:+1:-1
 523 -1:+1:-1
 524 +1:-1:1
 525 -1:-1:0
 526 +1:+1:0
 527 -1.1:0:-1
 528 +0:-1.1:1
 529 +1.1:+0:1
 530 +0:+1.1:-1
 531 +123:+123:0
 532 +123:+12:1
 533 +12:+123:-1
 534 -123:-123:0
 535 -123:-12:-1
 536 -12:-123:1
 537 +123:+124:-1
 538 +124:+123:1
 539 -123:-124:1
 540 -124:-123:-1
 541 0:0.01:-1
 542 0:0.0001:-1
 543 0:-0.0001:1
 544 0:-0.1:1
 545 0.1:0:1
 546 0.00001:0:1
 547 -0.0001:0:-1
 548 -0.1:0:-1
 549 0:0.0001234:-1
 550 0:-0.0001234:1
 551 0.0001234:0:1
 552 -0.0001234:0:-1
 553 0.0001:0.0005:-1
 554 0.0005:0.0001:1
 555 0.005:0.0001:1
 556 0.001:0.0005:1
 557 0.000001:0.0005:-1
 558 0.00000123:0.0005:-1
 559 0.00512:0.0001:1
 560 0.005:0.000112:1
 561 0.00123:0.0005:1
 562 1.5:2:-1
 563 2:1.5:1
 564 1.54321:234:-1
 565 234:1.54321:1
 566 # infinity
 567 -inf:5432112345:-1
 568 +inf:5432112345:1
 569 -inf:-5432112345:-1
 570 +inf:-5432112345:1
 571 -inf:54321.12345:-1
 572 +inf:54321.12345:1
 573 -inf:-54321.12345:-1
 574 +inf:-54321.12345:1
 575 +inf:+inf:0
 576 -inf:-inf:0
 577 +inf:-inf:1
 578 -inf:+inf:-1
 579 # return undef
 580 +inf:NaN:
 581 NaN:inf:
 582 -inf:NaN:
 583 NaN:-inf:
 584 &facmp
 585 fcmpNaN:fcmpNaN:
 586 fcmpNaN:+0:
 587 +0:fcmpNaN:
 588 +0:+0:0
 589 -1:+0:1
 590 +0:-1:-1
 591 +1:+0:1
 592 +0:+1:-1
 593 -1:+1:0
 594 +1:-1:0
 595 -1:-1:0
 596 +1:+1:0
 597 -1.1:0:1
 598 +0:-1.1:-1
 599 +1.1:+0:1
 600 +0:+1.1:-1
 601 +123:+123:0
 602 +123:+12:1
 603 +12:+123:-1
 604 -123:-123:0
 605 -123:-12:1
 606 -12:-123:-1
 607 +123:+124:-1
 608 +124:+123:1
 609 -123:-124:-1
 610 -124:-123:1
 611 0:0.01:-1
 612 0:0.0001:-1
 613 0:-0.0001:-1
 614 0:-0.1:-1
 615 0.1:0:1
 616 0.00001:0:1
 617 -0.0001:0:1
 618 -0.1:0:1
 619 0:0.0001234:-1
 620 0:-0.0001234:-1
 621 0.0001234:0:1
 622 -0.0001234:0:1
 623 0.0001:0.0005:-1
 624 0.0005:0.0001:1
 625 0.005:0.0001:1
 626 0.001:0.0005:1
 627 0.000001:0.0005:-1
 628 0.00000123:0.0005:-1
 629 0.00512:0.0001:1
 630 0.005:0.000112:1
 631 0.00123:0.0005:1
 632 1.5:2:-1
 633 2:1.5:1
 634 1.54321:234:-1
 635 234:1.54321:1
 636 # infinity
 637 -inf:5432112345:1
 638 +inf:5432112345:1
 639 -inf:-5432112345:1
 640 +inf:-5432112345:1
 641 -inf:54321.12345:1
 642 +inf:54321.12345:1
 643 -inf:-54321.12345:1
 644 +inf:-54321.12345:1
 645 +inf:+inf:0
 646 -inf:-inf:0
 647 +inf:-inf:0
 648 -inf:+inf:0
 649 5:inf:-1
 650 -1:inf:-1
 651 5:-inf:-1
 652 -1:-inf:-1
 653 # return undef
 654 +inf:facmpNaN:
 655 facmpNaN:inf:
 656 -inf:facmpNaN:
 657 facmpNaN:-inf:
 658 &fdec
 659 fdecNaN:NaN
 660 +inf:inf
 661 -inf:-inf
 662 +0:-1
 663 +1:0
 664 -1:-2
 665 1.23:0.23
 666 -1.23:-2.23
 667 &finc
 668 fincNaN:NaN
 669 +inf:inf
 670 -inf:-inf
 671 +0:1
 672 +1:2
 673 -1:0
 674 1.23:2.23
 675 -1.23:-0.23
 676 &fadd
 677 abc:abc:NaN
 678 abc:+0:NaN
 679 +0:abc:NaN
 680 +inf:-inf:0
 681 -inf:+inf:0
 682 +inf:+inf:inf
 683 -inf:-inf:-inf
 684 baddNaN:+inf:NaN
 685 baddNaN:+inf:NaN
 686 +inf:baddNaN:NaN
 687 -inf:baddNaN:NaN
 688 +0:+0:0
 689 +1:+0:1
 690 +0:+1:1
 691 +1:+1:2
 692 -1:+0:-1
 693 +0:-1:-1
 694 -1:-1:-2
 695 -1:+1:0
 696 +1:-1:0
 697 +9:+1:10
 698 +99:+1:100
 699 +999:+1:1000
 700 +9999:+1:10000
 701 +99999:+1:100000
 702 +999999:+1:1000000
 703 +9999999:+1:10000000
 704 +99999999:+1:100000000
 705 +999999999:+1:1000000000
 706 +9999999999:+1:10000000000
 707 +99999999999:+1:100000000000
 708 +10:-1:9
 709 +100:-1:99
 710 +1000:-1:999
 711 +10000:-1:9999
 712 +100000:-1:99999
 713 +1000000:-1:999999
 714 +10000000:-1:9999999
 715 +100000000:-1:99999999
 716 +1000000000:-1:999999999
 717 +10000000000:-1:9999999999
 718 +123456789:+987654321:1111111110
 719 -123456789:+987654321:864197532
 720 -123456789:-987654321:-1111111110
 721 +123456789:-987654321:-864197532
 722 0.001234:0.0001234:0.0013574
 723 &fsub
 724 abc:abc:NaN
 725 abc:+0:NaN
 726 +0:abc:NaN
 727 +inf:-inf:inf
 728 -inf:+inf:-inf
 729 +inf:+inf:0
 730 -inf:-inf:0
 731 baddNaN:+inf:NaN
 732 baddNaN:+inf:NaN
 733 +inf:baddNaN:NaN
 734 -inf:baddNaN:NaN
 735 +0:+0:0
 736 +1:+0:1
 737 +0:+1:-1
 738 +1:+1:0
 739 -1:+0:-1
 740 +0:-1:1
 741 -1:-1:0
 742 -1:+1:-2
 743 +1:-1:2
 744 +9:+1:8
 745 +99:+1:98
 746 +999:+1:998
 747 +9999:+1:9998
 748 +99999:+1:99998
 749 +999999:+1:999998
 750 +9999999:+1:9999998
 751 +99999999:+1:99999998
 752 +999999999:+1:999999998
 753 +9999999999:+1:9999999998
 754 +99999999999:+1:99999999998
 755 +10:-1:11
 756 +100:-1:101
 757 +1000:-1:1001
 758 +10000:-1:10001
 759 +100000:-1:100001
 760 +1000000:-1:1000001
 761 +10000000:-1:10000001
 762 +100000000:-1:100000001
 763 +1000000000:-1:1000000001
 764 +10000000000:-1:10000000001
 765 +123456789:+987654321:-864197532
 766 -123456789:+987654321:-1111111110
 767 -123456789:-987654321:864197532
 768 +123456789:-987654321:1111111110
 769 &fmul
 770 abc:abc:NaN
 771 abc:+0:NaN
 772 +0:abc:NaN
 773 +inf:NaNmul:NaN
 774 +inf:NaNmul:NaN
 775 NaNmul:+inf:NaN
 776 NaNmul:-inf:NaN
 777 +inf:+inf:inf
 778 +inf:-inf:-inf
 779 +inf:-inf:-inf
 780 +inf:+inf:inf
 781 +inf:123.34:inf
 782 +inf:-123.34:-inf
 783 -inf:123.34:-inf
 784 -inf:-123.34:inf
 785 123.34:+inf:inf
 786 -123.34:+inf:-inf
 787 123.34:-inf:-inf
 788 -123.34:-inf:inf
 789 +0:+0:0
 790 +0:+1:0
 791 +1:+0:0
 792 +0:-1:0
 793 -1:+0:0
 794 +123456789123456789:+0:0
 795 +0:+123456789123456789:0
 796 -1:-1:1
 797 -1:+1:-1
 798 +1:-1:-1
 799 +1:+1:1
 800 +2:+3:6
 801 -2:+3:-6
 802 +2:-3:-6
 803 -2:-3:6
 804 +111:+111:12321
 805 +10101:+10101:102030201
 806 +1001001:+1001001:1002003002001
 807 +100010001:+100010001:10002000300020001
 808 +10000100001:+10000100001:100002000030000200001
 809 +11111111111:+9:99999999999
 810 +22222222222:+9:199999999998
 811 +33333333333:+9:299999999997
 812 +44444444444:+9:399999999996
 813 +55555555555:+9:499999999995
 814 +66666666666:+9:599999999994
 815 +77777777777:+9:699999999993
 816 +88888888888:+9:799999999992
 817 +99999999999:+9:899999999991
 818 6:120:720
 819 10:10000:100000
 820 &fdiv
 821 $div_scale = 40; $round_mode = 'even'
 822 abc:abc:NaN
 823 abc:+1:abc:NaN
 824 +1:abc:NaN
 825 -1:abc:NaN
 826 0:abc:NaN
 827 +0:+0:NaN
 828 +0:+1:0
 829 +1:+0:inf
 830 +3214:+0:inf
 831 +0:-1:0
 832 -1:+0:-inf
 833 -3214:+0:-inf
 834 +1:+1:1
 835 -1:-1:1
 836 +1:-1:-1
 837 -1:+1:-1
 838 +1:+2:0.5
 839 +2:+1:2
 840 123:+inf:0
 841 123:-inf:0
 842 +10:+5:2
 843 +100:+4:25
 844 +1000:+8:125
 845 +10000:+16:625
 846 +10000:-16:-625
 847 +999999999999:+9:111111111111
 848 +999999999999:+99:10101010101
 849 +999999999999:+999:1001001001
 850 +999999999999:+9999:100010001
 851 +999999999999999:+99999:10000100001
 852 +1000000000:+9:111111111.1111111111111111111111111111111
 853 +2000000000:+9:222222222.2222222222222222222222222222222
 854 +3000000000:+9:333333333.3333333333333333333333333333333
 855 +4000000000:+9:444444444.4444444444444444444444444444444
 856 +5000000000:+9:555555555.5555555555555555555555555555556
 857 +6000000000:+9:666666666.6666666666666666666666666666667
 858 +7000000000:+9:777777777.7777777777777777777777777777778
 859 +8000000000:+9:888888888.8888888888888888888888888888889
 860 +9000000000:+9:1000000000
 861 +35500000:+113:314159.2920353982300884955752212389380531
 862 +71000000:+226:314159.2920353982300884955752212389380531
 863 +106500000:+339:314159.2920353982300884955752212389380531
 864 +1000000000:+3:333333333.3333333333333333333333333333333
 865 2:25.024996000799840031993601279744051189762:0.07992009269196593320152084692285869265447
 866 $div_scale = 20
 867 +1000000000:+9:111111111.11111111111
 868 +2000000000:+9:222222222.22222222222
 869 +3000000000:+9:333333333.33333333333
 870 +4000000000:+9:444444444.44444444444
 871 +5000000000:+9:555555555.55555555556
 872 +6000000000:+9:666666666.66666666667
 873 +7000000000:+9:777777777.77777777778
 874 +8000000000:+9:888888888.88888888889
 875 +9000000000:+9:1000000000
 876 1:10:0.1
 877 1:100:0.01
 878 1:1000:0.001
 879 1:10000:0.0001
 880 1:504:0.001984126984126984127
 881 2:1.987654321:1.0062111801179738436
 882 # the next two cases are the "old" behaviour, but are now (>v0.01) different
 883 #+35500000:+113:314159.292035398230088
 884 #+71000000:+226:314159.292035398230088
 885 +35500000:+113:314159.29203539823009
 886 +71000000:+226:314159.29203539823009
 887 +106500000:+339:314159.29203539823009
 888 +1000000000:+3:333333333.33333333333
 889 $div_scale = 1
 890 # round to accuracy 1 after bdiv
 891 +124:+3:40
 892 # reset scale for further tests
 893 $div_scale = 40
 894 &fmod
 895 +0:0:NaN
 896 +0:1:0
 897 +3:1:0
 898 #+5:2:1
 899 #+9:4:1
 900 #+9:5:4
 901 #+9000:56:40
 902 #+56:9000:56
 903 &fsqrt
 904 +0:0
 905 -1:NaN
 906 -2:NaN
 907 -16:NaN
 908 -123.45:NaN
 909 nanfsqrt:NaN
 910 +inf:inf
 911 -inf:NaN
 912 +1:1
 913 +2:1.41421356237309504880168872420969807857
 914 +4:2
 915 +16:4
 916 +100:10
 917 +123.456:11.11107555549866648462149404118219234119
 918 +15241.38393:123.4559999756998444766131352122991626468
 919 +1.44:1.2
 920 &is_odd
 921 abc:0
 922 0:0
 923 -1:1
 924 -3:1
 925 1:1
 926 3:1
 927 1000001:1
 928 1000002:0
 929 +inf:0
 930 -inf:0
 931 123.45:0
 932 -123.45:0
 933 2:0
 934 &is_even
 935 abc:0
 936 0:1
 937 -1:0
 938 -3:0
 939 1:0
 940 3:0
 941 1000001:0
 942 1000002:1
 943 2:1
 944 +inf:0
 945 -inf:0
 946 123.456:0
 947 -123.456:0
 948 &is_positive
 949 0:1
 950 1:1
 951 -1:0
 952 -123:0
 953 NaN:0
 954 -inf:0
 955 +inf:1
 956 &is_negative
 957 0:0
 958 1:0
 959 -1:1
 960 -123:1
 961 NaN:0
 962 -inf:1
 963 +inf:0
 964 &parts
 965 0:0 1
 966 1:1 0
 967 123:123 0
 968 -123:-123 0
 969 -1200:-12 2
 970 NaNparts:NaN NaN
 971 +inf:inf inf
 972 -inf:-inf inf
 973 &exponent
 974 0:1
 975 1:0
 976 123:0
 977 -123:0
 978 -1200:2
 979 +inf:inf
 980 -inf:inf
 981 NaNexponent:NaN
 982 &mantissa
 983 0:0
 984 1:1
 985 123:123
 986 -123:-123
 987 -1200:-12
 988 +inf:inf
 989 -inf:-inf
 990 NaNmantissa:NaN
 991 &length
 992 123:3
 993 -123:3
 994 0:1
 995 1:1
 996 12345678901234567890:20
 997 &is_zero
 998 NaNzero:0
 999 +inf:0
1000 -inf:0
1001 0:1
1002 -1:0
1003 1:0
1004 &is_one
1005 NaNone:0
1006 +inf:0
1007 -inf:0
1008 0:0
1009 2:0
1010 1:1
1011 -1:0
1012 -2:0
1013 &bfloor
1014 0:0
1015 abc:NaN
1016 +inf:inf
1017 -inf:-inf
1018 1:1
1019 -51:-51
1020 -51.2:-52
1021 12.2:12
1022 &bceil
1023 0:0
1024 abc:NaN
1025 +inf:inf
1026 -inf:-inf
1027 1:1
1028 -51:-51
1029 -51.2:-51
1030 12.2:13