Commit | Line | Data |
b3abae2a |
1 | #include this file into another for subclass testing |
2 | |
3 | # This file is nearly identical to bigintpm.t, except that certain results |
4 | # are _requird_ to be different due to "upgrading" or "promoting" to BigFloat. |
5 | # The reverse is not true, any unmarked results can be either BigInt or |
79c55733 |
6 | # BigFloat, depending on how good the internal optimization is (e.g. it |
7 | # is usually desirable to have 2 ** 2 return an BigInt, not an BigFloat). |
b3abae2a |
8 | |
79c55733 |
9 | # Results that are required to be BigFloat are marked with an "^" at the end. |
10 | |
11 | # Please note that the testcount goes up by two for each extra result marked |
b3abae2a |
12 | # with ^, since then we test whether it has the proper class and that it left |
13 | # the upgrade variable alone. |
14 | |
15 | my $version = ${"$class\::VERSION"}; |
16 | |
17 | ############################################################################## |
18 | # for testing inheritance of _swap |
19 | |
20 | package Math::Foo; |
21 | |
22 | use Math::BigInt lib => $main::CL; |
23 | use vars qw/@ISA/; |
24 | @ISA = (qw/Math::BigInt/); |
25 | |
26 | use overload |
27 | # customized overload for sub, since original does not use swap there |
28 | '-' => sub { my @a = ref($_[0])->_swap(@_); |
29 | $a[0]->bsub($a[1])}; |
30 | |
31 | sub _swap |
32 | { |
33 | # a fake _swap, which reverses the params |
34 | my $self = shift; # for override in subclass |
35 | if ($_[2]) |
36 | { |
37 | my $c = ref ($_[0] ) || 'Math::Foo'; |
38 | return ( $_[0]->copy(), $_[1] ); |
39 | } |
40 | else |
41 | { |
42 | return ( Math::Foo->new($_[1]), $_[0] ); |
43 | } |
44 | } |
45 | |
46 | ############################################################################## |
47 | package main; |
48 | |
49 | my $CALC = $class->config()->{lib}; ok ($CALC,$CL); |
50 | |
51 | my ($f,$z,$a,$exp,@a,$m,$e,$round_mode,$expected_class); |
52 | |
53 | while (<DATA>) |
54 | { |
d614cd8b |
55 | chomp; |
b3abae2a |
56 | next if /^#/; # skip comments |
57 | if (s/^&//) |
58 | { |
59 | $f = $_; next; |
60 | } |
61 | elsif (/^\$/) |
62 | { |
63 | $round_mode = $_; $round_mode =~ s/^\$/$class\->/; next; |
64 | } |
65 | |
66 | @args = split(/:/,$_,99); $ans = pop(@args); |
67 | $expected_class = $class; |
68 | if ($ans =~ /\^$/) |
69 | { |
70 | $expected_class = $ECL; $ans =~ s/\^$//; |
71 | } |
72 | $try = "\$x = $class->new(\"$args[0]\");"; |
73 | if ($f eq "bnorm") |
74 | { |
75 | $try = "\$x = $class->bnorm(\"$args[0]\");"; |
76 | # some is_xxx tests |
77 | } elsif ($f =~ /^is_(zero|one|odd|even|negative|positive|nan|int)$/) { |
78 | $try .= "\$x->$f();"; |
79 | } elsif ($f eq "as_hex") { |
80 | $try .= '$x->as_hex();'; |
81 | } elsif ($f eq "as_bin") { |
82 | $try .= '$x->as_bin();'; |
83 | } elsif ($f eq "is_inf") { |
84 | $try .= "\$x->is_inf('$args[1]');"; |
85 | } elsif ($f eq "binf") { |
86 | $try .= "\$x->binf('$args[1]');"; |
87 | } elsif ($f eq "bone") { |
88 | $try .= "\$x->bone('$args[1]');"; |
89 | # some unary ops |
90 | } elsif ($f =~ /^b(nan|floor|ceil|sstr|neg|abs|inc|dec|not|sqrt|fac)$/) { |
91 | $try .= "\$x->$f();"; |
92 | } elsif ($f eq "length") { |
93 | $try .= '$x->length();'; |
94 | } elsif ($f eq "exponent"){ |
95 | # ->bstr() to see if an object is returned |
96 | $try .= '$x = $x->exponent()->bstr();'; |
97 | } elsif ($f eq "mantissa"){ |
98 | # ->bstr() to see if an object is returned |
99 | $try .= '$x = $x->mantissa()->bstr();'; |
100 | } elsif ($f eq "parts"){ |
101 | $try .= '($m,$e) = $x->parts();'; |
102 | # ->bstr() to see if an object is returned |
103 | $try .= '$m = $m->bstr(); $m = "NaN" if !defined $m;'; |
104 | $try .= '$e = $e->bstr(); $e = "NaN" if !defined $e;'; |
105 | $try .= '"$m,$e";'; |
106 | } else { |
79c55733 |
107 | if ($args[1] !~ /\./) |
108 | { |
109 | $try .= "\$y = $class->new(\"$args[1]\");"; # BigInt |
110 | } |
111 | else |
112 | { |
113 | $try .= "\$y = $ECL->new(\"$args[1]\");"; # BigFloat |
114 | } |
b3abae2a |
115 | if ($f eq "bcmp") |
116 | { |
117 | $try .= '$x <=> $y;'; |
118 | } elsif ($f eq "bround") { |
119 | $try .= "$round_mode; \$x->bround(\$y);"; |
120 | } elsif ($f eq "bacmp"){ |
121 | $try .= '$x->bacmp($y);'; |
122 | } elsif ($f eq "badd"){ |
123 | $try .= '$x + $y;'; |
124 | } elsif ($f eq "bsub"){ |
125 | $try .= '$x - $y;'; |
126 | } elsif ($f eq "bmul"){ |
127 | $try .= '$x * $y;'; |
128 | } elsif ($f eq "bdiv"){ |
129 | $try .= '$x / $y;'; |
130 | } elsif ($f eq "bdiv-list"){ |
131 | $try .= 'join (",",$x->bdiv($y));'; |
132 | # overload via x= |
133 | } elsif ($f =~ /^.=$/){ |
134 | $try .= "\$x $f \$y;"; |
135 | # overload via x |
136 | } elsif ($f =~ /^.$/){ |
137 | $try .= "\$x $f \$y;"; |
138 | } elsif ($f eq "bmod"){ |
139 | $try .= '$x % $y;'; |
140 | } elsif ($f eq "bgcd") |
141 | { |
142 | if (defined $args[2]) |
143 | { |
144 | $try .= " \$z = $class->new('$args[2]'); "; |
145 | } |
146 | $try .= "$class\::bgcd(\$x, \$y"; |
147 | $try .= ", \$z" if (defined $args[2]); |
148 | $try .= " );"; |
149 | } |
150 | elsif ($f eq "blcm") |
151 | { |
152 | if (defined $args[2]) |
153 | { |
154 | $try .= " \$z = $class->new('$args[2]'); "; |
155 | } |
156 | $try .= "$class\::blcm(\$x, \$y"; |
157 | $try .= ", \$z" if (defined $args[2]); |
158 | $try .= " );"; |
159 | }elsif ($f eq "blsft"){ |
160 | if (defined $args[2]) |
161 | { |
162 | $try .= "\$x->blsft(\$y,$args[2]);"; |
163 | } |
164 | else |
165 | { |
166 | $try .= "\$x << \$y;"; |
167 | } |
168 | }elsif ($f eq "brsft"){ |
169 | if (defined $args[2]) |
170 | { |
171 | $try .= "\$x->brsft(\$y,$args[2]);"; |
172 | } |
173 | else |
174 | { |
175 | $try .= "\$x >> \$y;"; |
176 | } |
177 | }elsif ($f eq "band"){ |
178 | $try .= "\$x & \$y;"; |
179 | }elsif ($f eq "bior"){ |
180 | $try .= "\$x | \$y;"; |
181 | }elsif ($f eq "bxor"){ |
182 | $try .= "\$x ^ \$y;"; |
183 | }elsif ($f eq "bpow"){ |
184 | $try .= "\$x ** \$y;"; |
185 | }elsif ($f eq "digit"){ |
186 | $try = "\$x = $class->new('$args[0]'); \$x->digit($args[1]);"; |
187 | } else { warn "Unknown op '$f'"; } |
188 | } # end else all other ops |
189 | |
190 | $ans1 = eval $try; |
191 | # convert hex/binary targets to decimal |
192 | if ($ans =~ /^(0x0x|0b0b)/) |
193 | { |
194 | $ans =~ s/^0[xb]//; $ans = Math::BigInt->new($ans)->bstr(); |
195 | } |
196 | if ($ans eq "") |
197 | { |
198 | ok_undef ($ans1); |
199 | } |
200 | else |
201 | { |
202 | # print "try: $try ans: $ans1 $ans\n"; |
203 | print "# Tried: '$try'\n" if !ok ($ans1, $ans); |
204 | if ($expected_class ne $class) |
205 | { |
206 | ok (ref($ans1),$expected_class); # also checks that it really is ref! |
207 | ok ($Math::BigInt::upgrade,'Math::BigFloat'); # still okay? |
208 | } |
209 | } |
210 | # check internal state of number objects |
211 | is_valid($ans1,$f) if ref $ans1; |
212 | } # endwhile data tests |
213 | close DATA; |
214 | |
215 | # all tests done |
216 | |
217 | 1; |
218 | |
219 | ############################################################################### |
220 | ############################################################################### |
221 | # Perl 5.005 does not like ok ($x,undef) |
222 | |
223 | sub ok_undef |
224 | { |
225 | my $x = shift; |
226 | |
227 | ok (1,1) and return if !defined $x; |
228 | ok ($x,'undef'); |
229 | } |
230 | |
231 | ############################################################################### |
232 | # sub to check validity of a BigInt internally, to ensure that no op leaves a |
233 | # number object in an invalid state (f.i. "-0") |
234 | |
235 | sub is_valid |
236 | { |
237 | my ($x,$f,$c) = @_; |
238 | |
239 | # The checks here are loosened a bit to allow BigInt or BigFloats to pass |
240 | |
241 | my $e = 0; # error? |
242 | # ok as reference? |
243 | # $e = "Not a reference to $c" if (ref($x) || '') ne $c; |
244 | |
245 | # has ok sign? |
246 | $e = "Illegal sign $x->{sign} (expected: '+', '-', '-inf', '+inf' or 'NaN'" |
247 | if $e eq '0' && $x->{sign} !~ /^(\+|-|\+inf|-inf|NaN)$/; |
248 | |
249 | $e = "-0 is invalid!" if $e ne '0' && $x->{sign} eq '-' && $x == 0; |
250 | #$e = $CALC->_check($x->{value}) if $e eq '0'; |
251 | |
252 | # test done, see if error did crop up |
253 | ok (1,1), return if ($e eq '0'); |
254 | |
255 | ok (1,$e." after op '$f'"); |
256 | } |
257 | |
258 | __DATA__ |
259 | &.= |
260 | 1234:-345:1234-345 |
261 | &+= |
262 | 1:2:3 |
263 | -1:-2:-3 |
264 | &-= |
265 | 1:2:-1 |
266 | -1:-2:1 |
267 | &*= |
268 | 2:3:6 |
269 | -1:5:-5 |
270 | &%= |
271 | 100:3:1 |
272 | 8:9:8 |
273 | &/= |
79c55733 |
274 | 100:3:33.33333333333333333333333333333333333333 |
b3abae2a |
275 | -8:2:-4 |
276 | &|= |
277 | 2:1:3 |
278 | &&= |
279 | 5:7:5 |
280 | &^= |
281 | 5:7:2 |
282 | &is_negative |
283 | 0:0 |
284 | -1:1 |
285 | 1:0 |
286 | +inf:0 |
287 | -inf:1 |
288 | NaNneg:0 |
289 | &is_positive |
290 | 0:1 |
291 | -1:0 |
292 | 1:1 |
293 | +inf:1 |
294 | -inf:0 |
295 | NaNneg:0 |
296 | &is_odd |
297 | abc:0 |
298 | 0:0 |
299 | 1:1 |
300 | 3:1 |
301 | -1:1 |
302 | -3:1 |
303 | 10000001:1 |
304 | 10000002:0 |
305 | 2:0 |
306 | 120:0 |
307 | 121:1 |
308 | &is_int |
309 | NaN:0 |
310 | inf:0 |
311 | -inf:0 |
312 | 1:1 |
313 | 12:1 |
314 | 123e12:1 |
315 | &is_even |
316 | abc:0 |
317 | 0:1 |
318 | 1:0 |
319 | 3:0 |
320 | -1:0 |
321 | -3:0 |
322 | 10000001:0 |
323 | 10000002:1 |
324 | 2:1 |
325 | 120:1 |
326 | 121:0 |
327 | &bacmp |
328 | +0:-0:0 |
329 | +0:+1:-1 |
330 | -1:+1:0 |
331 | +1:-1:0 |
332 | -1:+2:-1 |
333 | +2:-1:1 |
334 | -123456789:+987654321:-1 |
335 | +123456789:-987654321:-1 |
336 | +987654321:+123456789:1 |
337 | -987654321:+123456789:1 |
338 | -123:+4567889:-1 |
339 | # NaNs |
340 | acmpNaN:123: |
341 | 123:acmpNaN: |
342 | acmpNaN:acmpNaN: |
343 | # infinity |
344 | +inf:+inf:0 |
345 | -inf:-inf:0 |
346 | +inf:-inf:0 |
347 | -inf:+inf:0 |
348 | +inf:123:1 |
349 | -inf:123:1 |
350 | +inf:-123:1 |
351 | -inf:-123:1 |
352 | # return undef |
353 | +inf:NaN: |
354 | NaN:inf: |
355 | -inf:NaN: |
356 | NaN:-inf: |
357 | &bnorm |
358 | 123:123 |
359 | 12.3:12.3^ |
360 | # binary input |
361 | 0babc:NaN |
362 | 0b123:NaN |
363 | 0b0:0 |
364 | -0b0:0 |
365 | -0b1:-1 |
366 | 0b0001:1 |
367 | 0b001:1 |
368 | 0b011:3 |
369 | 0b101:5 |
370 | 0b1001:9 |
371 | 0b10001:17 |
372 | 0b100001:33 |
373 | 0b1000001:65 |
374 | 0b10000001:129 |
375 | 0b100000001:257 |
376 | 0b1000000001:513 |
377 | 0b10000000001:1025 |
378 | 0b100000000001:2049 |
379 | 0b1000000000001:4097 |
380 | 0b10000000000001:8193 |
381 | 0b100000000000001:16385 |
382 | 0b1000000000000001:32769 |
383 | 0b10000000000000001:65537 |
384 | 0b100000000000000001:131073 |
385 | 0b1000000000000000001:262145 |
386 | 0b10000000000000000001:524289 |
387 | 0b100000000000000000001:1048577 |
388 | 0b1000000000000000000001:2097153 |
389 | 0b10000000000000000000001:4194305 |
390 | 0b100000000000000000000001:8388609 |
391 | 0b1000000000000000000000001:16777217 |
392 | 0b10000000000000000000000001:33554433 |
393 | 0b100000000000000000000000001:67108865 |
394 | 0b1000000000000000000000000001:134217729 |
395 | 0b10000000000000000000000000001:268435457 |
396 | 0b100000000000000000000000000001:536870913 |
397 | 0b1000000000000000000000000000001:1073741825 |
398 | 0b10000000000000000000000000000001:2147483649 |
399 | 0b100000000000000000000000000000001:4294967297 |
400 | 0b1000000000000000000000000000000001:8589934593 |
401 | 0b10000000000000000000000000000000001:17179869185 |
402 | 0b_101:NaN |
403 | 0b1_0_1:5 |
404 | 0b0_0_0_1:1 |
405 | # hex input |
406 | -0x0:0 |
407 | 0xabcdefgh:NaN |
408 | 0x1234:4660 |
409 | 0xabcdef:11259375 |
410 | -0xABCDEF:-11259375 |
411 | -0x1234:-4660 |
412 | 0x12345678:305419896 |
413 | 0x1_2_3_4_56_78:305419896 |
414 | 0xa_b_c_d_e_f:11259375 |
415 | 0x_123:NaN |
416 | 0x9:9 |
417 | 0x11:17 |
418 | 0x21:33 |
419 | 0x41:65 |
420 | 0x81:129 |
421 | 0x101:257 |
422 | 0x201:513 |
423 | 0x401:1025 |
424 | 0x801:2049 |
425 | 0x1001:4097 |
426 | 0x2001:8193 |
427 | 0x4001:16385 |
428 | 0x8001:32769 |
429 | 0x10001:65537 |
430 | 0x20001:131073 |
431 | 0x40001:262145 |
432 | 0x80001:524289 |
433 | 0x100001:1048577 |
434 | 0x200001:2097153 |
435 | 0x400001:4194305 |
436 | 0x800001:8388609 |
437 | 0x1000001:16777217 |
438 | 0x2000001:33554433 |
439 | 0x4000001:67108865 |
440 | 0x8000001:134217729 |
441 | 0x10000001:268435457 |
442 | 0x20000001:536870913 |
443 | 0x40000001:1073741825 |
444 | 0x80000001:2147483649 |
445 | 0x100000001:4294967297 |
446 | 0x200000001:8589934593 |
447 | 0x400000001:17179869185 |
448 | 0x800000001:34359738369 |
449 | # inf input |
450 | inf:inf |
451 | +inf:inf |
452 | -inf:-inf |
453 | 0inf:NaN |
454 | # abnormal input |
455 | :NaN |
456 | abc:NaN |
457 | 1 a:NaN |
458 | 1bcd2:NaN |
459 | 11111b:NaN |
460 | +1z:NaN |
461 | -1z:NaN |
462 | # only one underscore between two digits |
463 | _123:NaN |
464 | _123_:NaN |
465 | 123_:NaN |
466 | 1__23:NaN |
467 | 1E1__2:NaN |
468 | 1_E12:NaN |
469 | 1E_12:NaN |
470 | 1_E_12:NaN |
471 | +_1E12:NaN |
472 | +0_1E2:100 |
473 | +0_0_1E2:100 |
474 | -0_0_1E2:-100 |
475 | -0_0_1E+0_0_2:-100 |
476 | E1:NaN |
477 | E23:NaN |
478 | 1.23E1:12.3^ |
479 | 1.23E-1:0.123^ |
480 | # bug with two E's in number beeing valid |
481 | 1e2e3:NaN |
482 | 1e2r:NaN |
483 | 1e2.0:NaN |
484 | # leading zeros |
485 | 012:12 |
486 | 0123:123 |
487 | 01234:1234 |
488 | 012345:12345 |
489 | 0123456:123456 |
490 | 01234567:1234567 |
491 | 012345678:12345678 |
492 | 0123456789:123456789 |
493 | 01234567891:1234567891 |
494 | 012345678912:12345678912 |
495 | 0123456789123:123456789123 |
496 | 01234567891234:1234567891234 |
497 | # normal input |
498 | 0:0 |
499 | +0:0 |
500 | +00:0 |
501 | +000:0 |
502 | 000000000000000000:0 |
503 | -0:0 |
504 | -0000:0 |
505 | +1:1 |
506 | +01:1 |
507 | +001:1 |
508 | +00000100000:100000 |
509 | 123456789:123456789 |
510 | -1:-1 |
511 | -01:-1 |
512 | -001:-1 |
513 | -123456789:-123456789 |
514 | -00000100000:-100000 |
515 | 1_2_3:123 |
516 | 10000000000E-1_0:1 |
517 | 1E2:100 |
518 | 1E1:10 |
519 | 1E0:1 |
520 | 1.23E2:123 |
521 | 100E-1:10 |
522 | # floating point input |
523 | # .2e2:20 |
524 | 1.E3:1000 |
525 | 1.01E2:101 |
526 | 1010E-1:101 |
527 | -1010E0:-1010 |
528 | -1010E1:-10100 |
529 | 1234.00:1234 |
530 | # non-integer numbers |
531 | -1010E-2:-10.1^ |
532 | -1.01E+1:-10.1^ |
533 | -1.01E-1:-0.101^ |
534 | &bnan |
535 | 1:NaN |
536 | 2:NaN |
537 | abc:NaN |
538 | &bone |
539 | 2:+:1 |
540 | 2:-:-1 |
541 | boneNaN:-:-1 |
542 | boneNaN:+:1 |
543 | 2:abc:1 |
544 | 3::1 |
545 | &binf |
546 | 1:+:inf |
547 | 2:-:-inf |
548 | 3:abc:inf |
549 | &is_nan |
550 | 123:0 |
551 | abc:1 |
552 | NaN:1 |
553 | -123:0 |
554 | &is_inf |
555 | +inf::1 |
556 | -inf::1 |
557 | abc::0 |
558 | 1::0 |
559 | NaN::0 |
560 | -1::0 |
561 | +inf:-:0 |
562 | +inf:+:1 |
563 | -inf:-:1 |
564 | -inf:+:0 |
565 | # it must be exactly /^[+-]inf$/ |
566 | +infinity::0 |
567 | -infinity::0 |
568 | &blsft |
569 | abc:abc:NaN |
570 | +2:+2:8 |
571 | +1:+32:4294967296 |
572 | +1:+48:281474976710656 |
573 | +8:-2:NaN |
574 | # excercise base 10 |
575 | +12345:4:10:123450000 |
576 | -1234:0:10:-1234 |
577 | +1234:0:10:1234 |
578 | +2:2:10:200 |
579 | +12:2:10:1200 |
580 | +1234:-3:10:NaN |
581 | 1234567890123:12:10:1234567890123000000000000 |
582 | &brsft |
583 | abc:abc:NaN |
584 | +8:+2:2 |
585 | +4294967296:+32:1 |
586 | +281474976710656:+48:1 |
587 | +2:-2:NaN |
588 | # excercise base 10 |
589 | -1234:0:10:-1234 |
590 | +1234:0:10:1234 |
591 | +200:2:10:2 |
592 | +1234:3:10:1 |
593 | +1234:2:10:12 |
594 | +1234:-3:10:NaN |
595 | 310000:4:10:31 |
596 | 12300000:5:10:123 |
597 | 1230000000000:10:10:123 |
598 | 09876123456789067890:12:10:9876123 |
599 | 1234561234567890123:13:10:123456 |
600 | &bsstr |
601 | 1e+34:1e+34 |
602 | 123.456E3:123456e+0 |
603 | 100:1e+2 |
604 | abc:NaN |
605 | &bneg |
606 | bnegNaN:NaN |
607 | +inf:-inf |
608 | -inf:inf |
609 | abd:NaN |
610 | 0:0 |
611 | 1:-1 |
612 | -1:1 |
613 | +123456789:-123456789 |
614 | -123456789:123456789 |
615 | &babs |
616 | babsNaN:NaN |
617 | +inf:inf |
618 | -inf:inf |
619 | 0:0 |
620 | 1:1 |
621 | -1:1 |
622 | +123456789:123456789 |
623 | -123456789:123456789 |
624 | &bcmp |
625 | bcmpNaN:bcmpNaN: |
626 | bcmpNaN:0: |
627 | 0:bcmpNaN: |
628 | 0:0:0 |
629 | -1:0:-1 |
630 | 0:-1:1 |
631 | 1:0:1 |
632 | 0:1:-1 |
633 | -1:1:-1 |
634 | 1:-1:1 |
635 | -1:-1:0 |
636 | 1:1:0 |
637 | 123:123:0 |
638 | 123:12:1 |
639 | 12:123:-1 |
640 | -123:-123:0 |
641 | -123:-12:-1 |
642 | -12:-123:1 |
643 | 123:124:-1 |
644 | 124:123:1 |
645 | -123:-124:1 |
646 | -124:-123:-1 |
647 | 100:5:1 |
648 | -123456789:987654321:-1 |
649 | +123456789:-987654321:1 |
650 | -987654321:123456789:-1 |
651 | -inf:5432112345:-1 |
652 | +inf:5432112345:1 |
653 | -inf:-5432112345:-1 |
654 | +inf:-5432112345:1 |
655 | +inf:+inf:0 |
656 | -inf:-inf:0 |
657 | +inf:-inf:1 |
658 | -inf:+inf:-1 |
659 | 5:inf:-1 |
660 | 5:inf:-1 |
661 | -5:-inf:1 |
662 | -5:-inf:1 |
663 | # return undef |
664 | +inf:NaN: |
665 | NaN:inf: |
666 | -inf:NaN: |
667 | NaN:-inf: |
668 | &binc |
669 | abc:NaN |
670 | +inf:inf |
671 | -inf:-inf |
672 | +0:1 |
673 | +1:2 |
674 | -1:0 |
675 | &bdec |
676 | abc:NaN |
677 | +inf:inf |
678 | -inf:-inf |
679 | +0:-1 |
680 | +1:0 |
681 | -1:-2 |
682 | &badd |
683 | abc:abc:NaN |
684 | abc:0:NaN |
685 | +0:abc:NaN |
686 | +inf:-inf:NaN |
687 | -inf:+inf:NaN |
688 | +inf:+inf:inf |
689 | -inf:-inf:-inf |
690 | baddNaN:+inf:NaN |
691 | baddNaN:+inf:NaN |
692 | +inf:baddNaN:NaN |
693 | -inf:baddNaN:NaN |
694 | 0:0:0 |
695 | 1:0:1 |
696 | 0:1:1 |
697 | 1:1:2 |
698 | -1:0:-1 |
699 | 0:-1:-1 |
700 | -1:-1:-2 |
701 | -1:+1:0 |
702 | +1:-1:0 |
703 | +9:+1:10 |
704 | +99:+1:100 |
705 | +999:+1:1000 |
706 | +9999:+1:10000 |
707 | +99999:+1:100000 |
708 | +999999:+1:1000000 |
709 | +9999999:+1:10000000 |
710 | +99999999:+1:100000000 |
711 | +999999999:+1:1000000000 |
712 | +9999999999:+1:10000000000 |
713 | +99999999999:+1:100000000000 |
714 | +10:-1:9 |
715 | +100:-1:99 |
716 | +1000:-1:999 |
717 | +10000:-1:9999 |
718 | +100000:-1:99999 |
719 | +1000000:-1:999999 |
720 | +10000000:-1:9999999 |
721 | +100000000:-1:99999999 |
722 | +1000000000:-1:999999999 |
723 | +10000000000:-1:9999999999 |
724 | +123456789:987654321:1111111110 |
725 | -123456789:987654321:864197532 |
726 | -123456789:-987654321:-1111111110 |
727 | +123456789:-987654321:-864197532 |
56b9c951 |
728 | 2:2.5:4.5^ |
729 | -123:-1.5:-124.5^ |
730 | -1.2:1:-0.2^ |
b3abae2a |
731 | &bsub |
732 | abc:abc:NaN |
733 | abc:+0:NaN |
734 | +0:abc:NaN |
735 | +inf:-inf:inf |
736 | -inf:+inf:-inf |
737 | +inf:+inf:NaN |
738 | -inf:-inf:NaN |
739 | +0:+0:0 |
740 | +1:+0:1 |
741 | +0:+1:-1 |
742 | +1:+1:0 |
743 | -1:+0:-1 |
744 | +0:-1:1 |
745 | -1:-1:0 |
746 | -1:+1:-2 |
747 | +1:-1:2 |
748 | +9:+1:8 |
749 | +99:+1:98 |
750 | +999:+1:998 |
751 | +9999:+1:9998 |
752 | +99999:+1:99998 |
753 | +999999:+1:999998 |
754 | +9999999:+1:9999998 |
755 | +99999999:+1:99999998 |
756 | +999999999:+1:999999998 |
757 | +9999999999:+1:9999999998 |
758 | +99999999999:+1:99999999998 |
759 | +10:-1:11 |
760 | +100:-1:101 |
761 | +1000:-1:1001 |
762 | +10000:-1:10001 |
763 | +100000:-1:100001 |
764 | +1000000:-1:1000001 |
765 | +10000000:-1:10000001 |
766 | +100000000:-1:100000001 |
767 | +1000000000:-1:1000000001 |
768 | +10000000000:-1:10000000001 |
769 | +123456789:+987654321:-864197532 |
770 | -123456789:+987654321:-1111111110 |
771 | -123456789:-987654321:864197532 |
772 | +123456789:-987654321:1111111110 |
773 | &bmul |
774 | abc:abc:NaN |
775 | abc:+0:NaN |
776 | +0:abc:NaN |
777 | NaNmul:+inf:NaN |
778 | NaNmul:-inf:NaN |
779 | -inf:NaNmul:NaN |
780 | +inf:NaNmul:NaN |
781 | +inf:+inf:inf |
782 | +inf:-inf:-inf |
783 | -inf:+inf:-inf |
784 | -inf:-inf:inf |
785 | +0:+0:0 |
786 | +0:+1:0 |
787 | +1:+0:0 |
788 | +0:-1:0 |
789 | -1:+0:0 |
790 | 123456789123456789:0:0 |
791 | 0:123456789123456789:0 |
792 | -1:-1:1 |
793 | -1:+1:-1 |
794 | +1:-1:-1 |
795 | +1:+1:1 |
796 | +2:+3:6 |
797 | -2:+3:-6 |
798 | +2:-3:-6 |
799 | -2:-3:6 |
800 | 111:111:12321 |
801 | 10101:10101:102030201 |
802 | 1001001:1001001:1002003002001 |
803 | 100010001:100010001:10002000300020001 |
804 | 10000100001:10000100001:100002000030000200001 |
805 | 11111111111:9:99999999999 |
806 | 22222222222:9:199999999998 |
807 | 33333333333:9:299999999997 |
808 | 44444444444:9:399999999996 |
809 | 55555555555:9:499999999995 |
810 | 66666666666:9:599999999994 |
811 | 77777777777:9:699999999993 |
812 | 88888888888:9:799999999992 |
813 | 99999999999:9:899999999991 |
814 | +25:+25:625 |
815 | +12345:+12345:152399025 |
816 | +99999:+11111:1111088889 |
817 | 9999:10000:99990000 |
818 | 99999:100000:9999900000 |
819 | 999999:1000000:999999000000 |
820 | 9999999:10000000:99999990000000 |
821 | 99999999:100000000:9999999900000000 |
822 | 999999999:1000000000:999999999000000000 |
823 | 9999999999:10000000000:99999999990000000000 |
824 | 99999999999:100000000000:9999999999900000000000 |
825 | 999999999999:1000000000000:999999999999000000000000 |
826 | 9999999999999:10000000000000:99999999999990000000000000 |
827 | 99999999999999:100000000000000:9999999999999900000000000000 |
828 | 999999999999999:1000000000000000:999999999999999000000000000000 |
829 | 9999999999999999:10000000000000000:99999999999999990000000000000000 |
830 | 99999999999999999:100000000000000000:9999999999999999900000000000000000 |
831 | 999999999999999999:1000000000000000000:999999999999999999000000000000000000 |
832 | 9999999999999999999:10000000000000000000:99999999999999999990000000000000000000 |
79c55733 |
833 | 3:3.5:10.5^ |
834 | 3.5:3:10.5^ |
b3abae2a |
835 | &bdiv-list |
836 | 100:20:5,0 |
837 | 4095:4095:1,0 |
838 | -4095:-4095:1,0 |
839 | 4095:-4095:-1,0 |
840 | -4095:4095:-1,0 |
79c55733 |
841 | 123:2:61.5,1 |
842 | 9:5:1.8,4 |
843 | 9:4:2.25,1 |
b3abae2a |
844 | # inf handling and general remainder |
845 | 5:8:0.625,5 |
846 | 0:8:0,0 |
79c55733 |
847 | 11:2:5.5,1 |
848 | 11:-2:-5.5,-1 |
849 | -11:2:-5.5,1 |
b3abae2a |
850 | # see table in documentation in MBI |
851 | 0:inf:0,0 |
852 | 0:-inf:0,0 |
853 | 5:inf:0,5 |
854 | 5:-inf:0,5 |
855 | -5:inf:0,-5 |
856 | -5:-inf:0,-5 |
857 | inf:5:inf,0 |
858 | -inf:5:-inf,0 |
859 | inf:-5:-inf,0 |
860 | -inf:-5:inf,0 |
861 | 5:5:1,0 |
862 | -5:-5:1,0 |
863 | inf:inf:NaN,NaN |
864 | -inf:-inf:NaN,NaN |
865 | -inf:inf:NaN,NaN |
866 | inf:-inf:NaN,NaN |
867 | 8:0:inf,8 |
868 | inf:0:inf,inf |
869 | # exceptions to reminder rule |
870 | -8:0:-inf,-8 |
871 | -inf:0:-inf,-inf |
872 | 0:0:NaN,NaN |
873 | &bdiv |
874 | abc:abc:NaN |
875 | abc:1:NaN |
876 | 1:abc:NaN |
877 | 0:0:NaN |
878 | # inf handling (see table in doc) |
879 | 0:inf:0 |
880 | 0:-inf:0 |
881 | 5:inf:0 |
882 | 5:-inf:0 |
883 | -5:inf:0 |
884 | -5:-inf:0 |
885 | inf:5:inf |
886 | -inf:5:-inf |
887 | inf:-5:-inf |
888 | -inf:-5:inf |
889 | 5:5:1 |
890 | -5:-5:1 |
891 | inf:inf:NaN |
892 | -inf:-inf:NaN |
893 | -inf:inf:NaN |
894 | inf:-inf:NaN |
895 | 8:0:inf |
896 | inf:0:inf |
897 | -8:0:-inf |
898 | -inf:0:-inf |
899 | 0:0:NaN |
79c55733 |
900 | 11:2:5.5^ |
901 | -11:-2:5.5^ |
902 | -11:2:-5.5^ |
903 | 11:-2:-5.5^ |
b3abae2a |
904 | 0:1:0 |
905 | 0:-1:0 |
906 | 1:1:1 |
907 | -1:-1:1 |
908 | 1:-1:-1 |
909 | -1:1:-1 |
910 | 1:2:0.5^ |
911 | 2:1:2 |
79c55733 |
912 | 1000000000:9:111111111.1111111111111111111111111111111^ |
913 | 2000000000:9:222222222.2222222222222222222222222222222^ |
914 | 3000000000:9:333333333.3333333333333333333333333333333^ |
915 | 4000000000:9:444444444.4444444444444444444444444444444^ |
916 | 5000000000:9:555555555.5555555555555555555555555555556^ |
917 | 6000000000:9:666666666.6666666666666666666666666666667^ |
918 | 7000000000:9:777777777.7777777777777777777777777777778^ |
919 | 8000000000:9:888888888.8888888888888888888888888888889^ |
b3abae2a |
920 | 9000000000:9:1000000000 |
79c55733 |
921 | 35500000:113:314159.2920353982300884955752212389380531^ |
922 | 71000000:226:314159.2920353982300884955752212389380531^ |
923 | 106500000:339:314159.2920353982300884955752212389380531^ |
924 | 1000000000:3:333333333.3333333333333333333333333333333^ |
b3abae2a |
925 | +10:+5:2 |
926 | +100:+4:25 |
927 | +1000:+8:125 |
928 | +10000:+16:625 |
929 | 999999999999:9:111111111111 |
930 | 999999999999:99:10101010101 |
931 | 999999999999:999:1001001001 |
932 | 999999999999:9999:100010001 |
933 | 999999999999999:99999:10000100001 |
934 | +1111088889:99999:11111 |
79c55733 |
935 | -5:-3:1.666666666666666666666666666666666666667^ |
936 | -5:3:-1.666666666666666666666666666666666666667^ |
937 | 4:3:1.333333333333333333333333333333333333333^ |
938 | 4:-3:-1.333333333333333333333333333333333333333^ |
939 | 1:3:0.3333333333333333333333333333333333333333^ |
940 | 1:-3:-0.3333333333333333333333333333333333333333^ |
941 | -2:-3:0.6666666666666666666666666666666666666667^ |
942 | -2:3:-0.6666666666666666666666666666666666666667^ |
943 | 8:5:1.6^ |
944 | -8:5:-1.6^ |
945 | 14:-3:-4.666666666666666666666666666666666666667^ |
946 | -14:3:-4.666666666666666666666666666666666666667^ |
947 | -14:-3:4.666666666666666666666666666666666666667^ |
948 | 14:3:4.666666666666666666666666666666666666667^ |
b3abae2a |
949 | # bug in Calc with '99999' vs $BASE-1 |
79c55733 |
950 | #10000000000000000000000000000000000000000000000000000000000000000000000000000000000:10000000375084540248994272022843165711074:999999962491547381984643365663244474111576 |
b3abae2a |
951 | 12:24:0.5^ |
952 | &bmod |
953 | # inf handling, see table in doc |
954 | 0:inf:0 |
955 | 0:-inf:0 |
956 | 5:inf:5 |
957 | 5:-inf:5 |
958 | -5:inf:-5 |
959 | -5:-inf:-5 |
960 | inf:5:0 |
961 | -inf:5:0 |
962 | inf:-5:0 |
963 | -inf:-5:0 |
964 | 5:5:0 |
965 | -5:-5:0 |
966 | inf:inf:NaN |
967 | -inf:-inf:NaN |
968 | -inf:inf:NaN |
969 | inf:-inf:NaN |
970 | 8:0:8 |
971 | inf:0:inf |
972 | # exceptions to reminder rule |
973 | -inf:0:-inf |
974 | -8:0:-8 |
975 | 0:0:NaN |
976 | abc:abc:NaN |
977 | abc:1:abc:NaN |
978 | 1:abc:NaN |
979 | 0:0:NaN |
980 | 0:1:0 |
981 | 1:0:1 |
982 | 0:-1:0 |
983 | -1:0:-1 |
984 | 1:1:0 |
985 | -1:-1:0 |
986 | 1:-1:0 |
987 | -1:1:0 |
988 | 1:2:1 |
989 | 2:1:0 |
990 | 1000000000:9:1 |
991 | 2000000000:9:2 |
992 | 3000000000:9:3 |
993 | 4000000000:9:4 |
994 | 5000000000:9:5 |
995 | 6000000000:9:6 |
996 | 7000000000:9:7 |
997 | 8000000000:9:8 |
998 | 9000000000:9:0 |
999 | 35500000:113:33 |
1000 | 71000000:226:66 |
1001 | 106500000:339:99 |
1002 | 1000000000:3:1 |
1003 | 10:5:0 |
1004 | 100:4:0 |
1005 | 1000:8:0 |
1006 | 10000:16:0 |
1007 | 999999999999:9:0 |
1008 | 999999999999:99:0 |
1009 | 999999999999:999:0 |
1010 | 999999999999:9999:0 |
1011 | 999999999999999:99999:0 |
1012 | -9:+5:1 |
1013 | +9:-5:-1 |
1014 | -9:-5:-4 |
1015 | -5:3:1 |
1016 | -2:3:1 |
1017 | 4:3:1 |
1018 | 1:3:1 |
1019 | -5:-3:-2 |
1020 | -2:-3:-2 |
1021 | 4:-3:-2 |
1022 | 1:-3:-2 |
1023 | 4095:4095:0 |
1024 | 100041000510123:3:0 |
1025 | 152403346:12345:4321 |
1026 | 9:5:4 |
1027 | &bgcd |
1028 | abc:abc:NaN |
1029 | abc:+0:NaN |
1030 | +0:abc:NaN |
1031 | +0:+0:0 |
1032 | +0:+1:1 |
1033 | +1:+0:1 |
1034 | +1:+1:1 |
1035 | +2:+3:1 |
1036 | +3:+2:1 |
1037 | -3:+2:1 |
1038 | 100:625:25 |
1039 | 4096:81:1 |
1040 | 1034:804:2 |
1041 | 27:90:56:1 |
1042 | 27:90:54:9 |
1043 | &blcm |
1044 | abc:abc:NaN |
1045 | abc:+0:NaN |
1046 | +0:abc:NaN |
1047 | +0:+0:NaN |
1048 | +1:+0:0 |
1049 | +0:+1:0 |
1050 | +27:+90:270 |
1051 | +1034:+804:415668 |
1052 | &band |
1053 | abc:abc:NaN |
1054 | abc:0:NaN |
1055 | 0:abc:NaN |
1056 | 1:2:0 |
1057 | 3:2:2 |
1058 | +8:+2:0 |
1059 | +281474976710656:0:0 |
1060 | +281474976710656:1:0 |
1061 | +281474976710656:+281474976710656:281474976710656 |
1062 | -2:-3:-4 |
1063 | -1:-1:-1 |
1064 | -6:-6:-6 |
1065 | -7:-4:-8 |
1066 | -7:4:0 |
1067 | -4:7:4 |
1068 | # equal arguments are treated special, so also do some test with unequal ones |
1069 | 0xFFFF:0xFFFF:0x0xFFFF |
1070 | 0xFFFFFF:0xFFFFFF:0x0xFFFFFF |
1071 | 0xFFFFFFFF:0xFFFFFFFF:0x0xFFFFFFFF |
1072 | 0xFFFFFFFFFF:0xFFFFFFFFFF:0x0xFFFFFFFFFF |
1073 | 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF |
1074 | 0xF0F0:0xF0F0:0x0xF0F0 |
1075 | 0x0F0F:0x0F0F:0x0x0F0F |
1076 | 0xF0F0F0:0xF0F0F0:0x0xF0F0F0 |
1077 | 0x0F0F0F:0x0F0F0F:0x0x0F0F0F |
1078 | 0xF0F0F0F0:0xF0F0F0F0:0x0xF0F0F0F0 |
1079 | 0x0F0F0F0F:0x0F0F0F0F:0x0x0F0F0F0F |
1080 | 0xF0F0F0F0F0:0xF0F0F0F0F0:0x0xF0F0F0F0F0 |
1081 | 0x0F0F0F0F0F:0x0F0F0F0F0F:0x0x0F0F0F0F0F |
1082 | 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0x0xF0F0F0F0F0F0 |
1083 | 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0x0x0F0F0F0F0F0F |
1084 | 0x1F0F0F0F0F0F:0x3F0F0F0F0F0F:0x0x1F0F0F0F0F0F |
1085 | &bior |
1086 | abc:abc:NaN |
1087 | abc:0:NaN |
1088 | 0:abc:NaN |
1089 | 1:2:3 |
1090 | +8:+2:10 |
1091 | +281474976710656:0:281474976710656 |
1092 | +281474976710656:1:281474976710657 |
1093 | +281474976710656:281474976710656:281474976710656 |
1094 | -2:-3:-1 |
1095 | -1:-1:-1 |
1096 | -6:-6:-6 |
1097 | -7:4:-3 |
1098 | -4:7:-1 |
1099 | # equal arguments are treated special, so also do some test with unequal ones |
1100 | 0xFFFF:0xFFFF:0x0xFFFF |
1101 | 0xFFFFFF:0xFFFFFF:0x0xFFFFFF |
1102 | 0xFFFFFFFF:0xFFFFFFFF:0x0xFFFFFFFF |
1103 | 0xFFFFFFFFFF:0xFFFFFFFFFF:0x0xFFFFFFFFFF |
1104 | 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF |
1105 | 0:0xFFFF:0x0xFFFF |
1106 | 0:0xFFFFFF:0x0xFFFFFF |
1107 | 0:0xFFFFFFFF:0x0xFFFFFFFF |
1108 | 0:0xFFFFFFFFFF:0x0xFFFFFFFFFF |
1109 | 0:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF |
1110 | 0xFFFF:0:0x0xFFFF |
1111 | 0xFFFFFF:0:0x0xFFFFFF |
1112 | 0xFFFFFFFF:0:0x0xFFFFFFFF |
1113 | 0xFFFFFFFFFF:0:0x0xFFFFFFFFFF |
1114 | 0xFFFFFFFFFFFF:0:0x0xFFFFFFFFFFFF |
1115 | 0xF0F0:0xF0F0:0x0xF0F0 |
1116 | 0x0F0F:0x0F0F:0x0x0F0F |
1117 | 0xF0F0:0x0F0F:0x0xFFFF |
1118 | 0xF0F0F0:0xF0F0F0:0x0xF0F0F0 |
1119 | 0x0F0F0F:0x0F0F0F:0x0x0F0F0F |
1120 | 0x0F0F0F:0xF0F0F0:0x0xFFFFFF |
1121 | 0xF0F0F0F0:0xF0F0F0F0:0x0xF0F0F0F0 |
1122 | 0x0F0F0F0F:0x0F0F0F0F:0x0x0F0F0F0F |
1123 | 0x0F0F0F0F:0xF0F0F0F0:0x0xFFFFFFFF |
1124 | 0xF0F0F0F0F0:0xF0F0F0F0F0:0x0xF0F0F0F0F0 |
1125 | 0x0F0F0F0F0F:0x0F0F0F0F0F:0x0x0F0F0F0F0F |
1126 | 0x0F0F0F0F0F:0xF0F0F0F0F0:0x0xFFFFFFFFFF |
1127 | 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0x0xF0F0F0F0F0F0 |
1128 | 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0x0x0F0F0F0F0F0F |
1129 | 0x0F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF |
1130 | 0x1F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF |
1131 | &bxor |
1132 | abc:abc:NaN |
1133 | abc:0:NaN |
1134 | 0:abc:NaN |
1135 | 1:2:3 |
1136 | +8:+2:10 |
1137 | +281474976710656:0:281474976710656 |
1138 | +281474976710656:1:281474976710657 |
1139 | +281474976710656:281474976710656:0 |
1140 | -2:-3:3 |
1141 | -1:-1:0 |
1142 | -6:-6:0 |
1143 | -7:4:-3 |
1144 | -4:7:-5 |
1145 | 4:-7:-3 |
1146 | -4:-7:5 |
1147 | # equal arguments are treated special, so also do some test with unequal ones |
1148 | 0xFFFF:0xFFFF:0 |
1149 | 0xFFFFFF:0xFFFFFF:0 |
1150 | 0xFFFFFFFF:0xFFFFFFFF:0 |
1151 | 0xFFFFFFFFFF:0xFFFFFFFFFF:0 |
1152 | 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0 |
1153 | 0:0xFFFF:0x0xFFFF |
1154 | 0:0xFFFFFF:0x0xFFFFFF |
1155 | 0:0xFFFFFFFF:0x0xFFFFFFFF |
1156 | 0:0xFFFFFFFFFF:0x0xFFFFFFFFFF |
1157 | 0:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF |
1158 | 0xFFFF:0:0x0xFFFF |
1159 | 0xFFFFFF:0:0x0xFFFFFF |
1160 | 0xFFFFFFFF:0:0x0xFFFFFFFF |
1161 | 0xFFFFFFFFFF:0:0x0xFFFFFFFFFF |
1162 | 0xFFFFFFFFFFFF:0:0x0xFFFFFFFFFFFF |
1163 | 0xF0F0:0xF0F0:0 |
1164 | 0x0F0F:0x0F0F:0 |
1165 | 0xF0F0:0x0F0F:0x0xFFFF |
1166 | 0xF0F0F0:0xF0F0F0:0 |
1167 | 0x0F0F0F:0x0F0F0F:0 |
1168 | 0x0F0F0F:0xF0F0F0:0x0xFFFFFF |
1169 | 0xF0F0F0F0:0xF0F0F0F0:0 |
1170 | 0x0F0F0F0F:0x0F0F0F0F:0 |
1171 | 0x0F0F0F0F:0xF0F0F0F0:0x0xFFFFFFFF |
1172 | 0xF0F0F0F0F0:0xF0F0F0F0F0:0 |
1173 | 0x0F0F0F0F0F:0x0F0F0F0F0F:0 |
1174 | 0x0F0F0F0F0F:0xF0F0F0F0F0:0x0xFFFFFFFFFF |
1175 | 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0 |
1176 | 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0 |
1177 | 0x0F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF |
1178 | &bnot |
1179 | abc:NaN |
1180 | +0:-1 |
1181 | +8:-9 |
1182 | +281474976710656:-281474976710657 |
1183 | -1:0 |
1184 | -2:1 |
1185 | -12:11 |
1186 | &digit |
1187 | 0:0:0 |
1188 | 12:0:2 |
1189 | 12:1:1 |
1190 | 123:0:3 |
1191 | 123:1:2 |
1192 | 123:2:1 |
1193 | 123:-1:1 |
1194 | 123:-2:2 |
1195 | 123:-3:3 |
1196 | 123456:0:6 |
1197 | 123456:1:5 |
1198 | 123456:2:4 |
1199 | 123456:3:3 |
1200 | 123456:4:2 |
1201 | 123456:5:1 |
1202 | 123456:-1:1 |
1203 | 123456:-2:2 |
1204 | 123456:-3:3 |
1205 | 100000:-3:0 |
1206 | 100000:0:0 |
1207 | 100000:1:0 |
1208 | &mantissa |
1209 | abc:NaN |
1210 | 1e4:1 |
1211 | 2e0:2 |
1212 | 123:123 |
1213 | -1:-1 |
1214 | -2:-2 |
1215 | +inf:inf |
1216 | -inf:-inf |
1217 | &exponent |
1218 | abc:NaN |
1219 | 1e4:4 |
1220 | 2e0:0 |
1221 | 123:0 |
1222 | -1:0 |
1223 | -2:0 |
1224 | 0:1 |
1225 | +inf:inf |
1226 | -inf:inf |
1227 | &parts |
1228 | abc:NaN,NaN |
1229 | 1e4:1,4 |
1230 | 2e0:2,0 |
1231 | 123:123,0 |
1232 | -1:-1,0 |
1233 | -2:-2,0 |
1234 | 0:0,1 |
1235 | +inf:inf,inf |
1236 | -inf:-inf,inf |
1237 | &bfac |
1238 | -1:NaN |
1239 | NaNfac:NaN |
1240 | +inf:NaN |
1241 | -inf:NaN |
1242 | 0:1 |
1243 | 1:1 |
1244 | 2:2 |
1245 | 3:6 |
1246 | 4:24 |
1247 | 5:120 |
1248 | 6:720 |
1249 | 10:3628800 |
1250 | 11:39916800 |
1251 | 12:479001600 |
1252 | &bpow |
1253 | abc:12:NaN |
1254 | 12:abc:NaN |
1255 | 0:0:1 |
1256 | 0:1:0 |
1257 | 0:2:0 |
1258 | 0:-1:NaN |
1259 | 0:-2:NaN |
1260 | 1:0:1 |
1261 | 1:1:1 |
1262 | 1:2:1 |
1263 | 1:3:1 |
1264 | 1:-1:1 |
1265 | 1:-2:1 |
1266 | 1:-3:1 |
1267 | 2:0:1 |
1268 | 2:1:2 |
1269 | 2:2:4 |
1270 | 2:3:8 |
1271 | 3:3:27 |
1272 | 2:-1:NaN |
1273 | -2:-1:NaN |
1274 | 2:-2:NaN |
1275 | -2:-2:NaN |
1276 | +inf:1234500012:inf |
1277 | -inf:1234500012:-inf |
1278 | +inf:-12345000123:inf |
1279 | -inf:-12345000123:-inf |
1280 | # 1 ** -x => 1 / (1 ** x) |
1281 | -1:0:1 |
1282 | -2:0:1 |
1283 | -1:1:-1 |
1284 | -1:2:1 |
1285 | -1:3:-1 |
1286 | -1:4:1 |
1287 | -1:5:-1 |
1288 | -1:-1:-1 |
1289 | -1:-2:1 |
1290 | -1:-3:-1 |
1291 | -1:-4:1 |
1292 | 10:2:100 |
1293 | 10:3:1000 |
1294 | 10:4:10000 |
1295 | 10:5:100000 |
1296 | 10:6:1000000 |
1297 | 10:7:10000000 |
1298 | 10:8:100000000 |
1299 | 10:9:1000000000 |
1300 | 10:20:100000000000000000000 |
1301 | 123456:2:15241383936 |
79c55733 |
1302 | #2:0.5:1.41^ |
b3abae2a |
1303 | &length |
1304 | 100:3 |
1305 | 10:2 |
1306 | 1:1 |
1307 | 0:1 |
1308 | 12345:5 |
1309 | 10000000000000000:17 |
1310 | -123:3 |
1311 | 215960156869840440586892398248:30 |
1312 | &bsqrt |
1313 | 145:12.04159457879229548012824103037860805243^ |
1314 | 144:12^ |
1315 | 143:11.95826074310139802112984075619561661399^ |
1316 | 16:4 |
1317 | 170:13.03840481040529742916594311485836883306^ |
1318 | 169:13 |
1319 | 168:12.96148139681572046193193487217599331541^ |
1320 | 4:2 |
1321 | 3:1.732050807568877293527446341505872366943^ |
1322 | 2:1.41421356237309504880168872420969807857^ |
1323 | 9:3 |
1324 | 12:3.464101615137754587054892683011744733886^ |
1325 | 256:16 |
1326 | 100000000:10000 |
1327 | 4000000000000:2000000 |
1328 | 152399026:12345.00004050222755607815159966235881398^ |
1329 | 152399025:12345 |
1330 | 152399024:12344.99995949777231103967404745303741942^ |
1331 | 1:1 |
1332 | 0:0 |
1333 | -2:NaN |
1334 | -123:NaN |
1335 | Nan:NaN |
1336 | +inf:NaN |
1337 | &bround |
1338 | $round_mode('trunc') |
1339 | 0:12:0 |
1340 | NaNbround:12:NaN |
1341 | +inf:12:inf |
1342 | -inf:12:-inf |
1343 | 1234:0:1234 |
1344 | 1234:2:1200 |
1345 | 123456:4:123400 |
1346 | 123456:5:123450 |
1347 | 123456:6:123456 |
1348 | +10123456789:5:10123000000 |
1349 | -10123456789:5:-10123000000 |
1350 | +10123456789:9:10123456700 |
1351 | -10123456789:9:-10123456700 |
1352 | +101234500:6:101234000 |
1353 | -101234500:6:-101234000 |
1354 | #+101234500:-4:101234000 |
1355 | #-101234500:-4:-101234000 |
1356 | $round_mode('zero') |
1357 | +20123456789:5:20123000000 |
1358 | -20123456789:5:-20123000000 |
1359 | +20123456789:9:20123456800 |
1360 | -20123456789:9:-20123456800 |
1361 | +201234500:6:201234000 |
1362 | -201234500:6:-201234000 |
1363 | #+201234500:-4:201234000 |
1364 | #-201234500:-4:-201234000 |
1365 | +12345000:4:12340000 |
1366 | -12345000:4:-12340000 |
1367 | $round_mode('+inf') |
1368 | +30123456789:5:30123000000 |
1369 | -30123456789:5:-30123000000 |
1370 | +30123456789:9:30123456800 |
1371 | -30123456789:9:-30123456800 |
1372 | +301234500:6:301235000 |
1373 | -301234500:6:-301234000 |
1374 | #+301234500:-4:301235000 |
1375 | #-301234500:-4:-301234000 |
1376 | +12345000:4:12350000 |
1377 | -12345000:4:-12340000 |
1378 | $round_mode('-inf') |
1379 | +40123456789:5:40123000000 |
1380 | -40123456789:5:-40123000000 |
1381 | +40123456789:9:40123456800 |
1382 | -40123456789:9:-40123456800 |
1383 | +401234500:6:401234000 |
1384 | +401234500:6:401234000 |
1385 | #-401234500:-4:-401235000 |
1386 | #-401234500:-4:-401235000 |
1387 | +12345000:4:12340000 |
1388 | -12345000:4:-12350000 |
1389 | $round_mode('odd') |
1390 | +50123456789:5:50123000000 |
1391 | -50123456789:5:-50123000000 |
1392 | +50123456789:9:50123456800 |
1393 | -50123456789:9:-50123456800 |
1394 | +501234500:6:501235000 |
1395 | -501234500:6:-501235000 |
1396 | #+501234500:-4:501235000 |
1397 | #-501234500:-4:-501235000 |
1398 | +12345000:4:12350000 |
1399 | -12345000:4:-12350000 |
1400 | $round_mode('even') |
1401 | +60123456789:5:60123000000 |
1402 | -60123456789:5:-60123000000 |
1403 | +60123456789:9:60123456800 |
1404 | -60123456789:9:-60123456800 |
1405 | +601234500:6:601234000 |
1406 | -601234500:6:-601234000 |
1407 | #+601234500:-4:601234000 |
1408 | #-601234500:-4:-601234000 |
1409 | #-601234500:-9:0 |
1410 | #-501234500:-9:0 |
1411 | #-601234500:-8:0 |
1412 | #-501234500:-8:0 |
1413 | +1234567:7:1234567 |
1414 | +1234567:6:1234570 |
1415 | +12345000:4:12340000 |
1416 | -12345000:4:-12340000 |
1417 | &is_zero |
1418 | 0:1 |
1419 | NaNzero:0 |
1420 | +inf:0 |
1421 | -inf:0 |
1422 | 123:0 |
1423 | -1:0 |
1424 | 1:0 |
1425 | &is_one |
1426 | 0:0 |
1427 | NaNone:0 |
1428 | +inf:0 |
1429 | -inf:0 |
1430 | 1:1 |
1431 | 2:0 |
1432 | -1:0 |
1433 | -2:0 |
1434 | # floor and ceil tests are pretty pointless in integer space...but play safe |
1435 | &bfloor |
1436 | 0:0 |
1437 | NaNfloor:NaN |
1438 | +inf:inf |
1439 | -inf:-inf |
1440 | -1:-1 |
1441 | -2:-2 |
1442 | 2:2 |
1443 | 3:3 |
1444 | abc:NaN |
1445 | &bceil |
1446 | NaNceil:NaN |
1447 | +inf:inf |
1448 | -inf:-inf |
1449 | 0:0 |
1450 | -1:-1 |
1451 | -2:-2 |
1452 | 2:2 |
1453 | 3:3 |
1454 | abc:NaN |
1455 | &as_hex |
1456 | 128:0x80 |
1457 | -128:-0x80 |
1458 | 0:0x0 |
1459 | -0:0x0 |
1460 | 1:0x1 |
1461 | 0x123456789123456789:0x123456789123456789 |
1462 | +inf:inf |
1463 | -inf:-inf |
1464 | NaNas_hex:NaN |
1465 | &as_bin |
1466 | 128:0b10000000 |
1467 | -128:-0b10000000 |
1468 | 0:0b0 |
1469 | -0:0b0 |
1470 | 1:0b1 |
1471 | 0b1010111101010101010110110110110110101:0b1010111101010101010110110110110110101 |
1472 | +inf:inf |
1473 | -inf:-inf |
1474 | NaNas_bin:NaN |