Commit | Line | Data |
---|---|---|
b3abae2a JH |
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 | |
6 | # BigFloat, depending on how good the internal optimization is. | |
7 | ||
8 | # Plaese note that the testcount goes up by two for each extra result marked | |
9 | # with ^, since then we test whether it has the proper class and that it left | |
10 | # the upgrade variable alone. | |
11 | ||
12 | my $version = ${"$class\::VERSION"}; | |
13 | ||
14 | ############################################################################## | |
15 | # for testing inheritance of _swap | |
16 | ||
17 | package Math::Foo; | |
18 | ||
19 | use Math::BigInt lib => $main::CL; | |
20 | use vars qw/@ISA/; | |
21 | @ISA = (qw/Math::BigInt/); | |
22 | ||
23 | use overload | |
24 | # customized overload for sub, since original does not use swap there | |
25 | '-' => sub { my @a = ref($_[0])->_swap(@_); | |
26 | $a[0]->bsub($a[1])}; | |
27 | ||
28 | sub _swap | |
29 | { | |
30 | # a fake _swap, which reverses the params | |
31 | my $self = shift; # for override in subclass | |
32 | if ($_[2]) | |
33 | { | |
34 | my $c = ref ($_[0] ) || 'Math::Foo'; | |
35 | return ( $_[0]->copy(), $_[1] ); | |
36 | } | |
37 | else | |
38 | { | |
39 | return ( Math::Foo->new($_[1]), $_[0] ); | |
40 | } | |
41 | } | |
42 | ||
43 | ############################################################################## | |
44 | package main; | |
45 | ||
46 | my $CALC = $class->config()->{lib}; ok ($CALC,$CL); | |
47 | ||
48 | my ($f,$z,$a,$exp,@a,$m,$e,$round_mode,$expected_class); | |
49 | ||
50 | while (<DATA>) | |
51 | { | |
52 | chop; | |
53 | next if /^#/; # skip comments | |
54 | if (s/^&//) | |
55 | { | |
56 | $f = $_; next; | |
57 | } | |
58 | elsif (/^\$/) | |
59 | { | |
60 | $round_mode = $_; $round_mode =~ s/^\$/$class\->/; next; | |
61 | } | |
62 | ||
63 | @args = split(/:/,$_,99); $ans = pop(@args); | |
64 | $expected_class = $class; | |
65 | if ($ans =~ /\^$/) | |
66 | { | |
67 | $expected_class = $ECL; $ans =~ s/\^$//; | |
68 | } | |
69 | $try = "\$x = $class->new(\"$args[0]\");"; | |
70 | if ($f eq "bnorm") | |
71 | { | |
72 | $try = "\$x = $class->bnorm(\"$args[0]\");"; | |
73 | # some is_xxx tests | |
74 | } elsif ($f =~ /^is_(zero|one|odd|even|negative|positive|nan|int)$/) { | |
75 | $try .= "\$x->$f();"; | |
76 | } elsif ($f eq "as_hex") { | |
77 | $try .= '$x->as_hex();'; | |
78 | } elsif ($f eq "as_bin") { | |
79 | $try .= '$x->as_bin();'; | |
80 | } elsif ($f eq "is_inf") { | |
81 | $try .= "\$x->is_inf('$args[1]');"; | |
82 | } elsif ($f eq "binf") { | |
83 | $try .= "\$x->binf('$args[1]');"; | |
84 | } elsif ($f eq "bone") { | |
85 | $try .= "\$x->bone('$args[1]');"; | |
86 | # some unary ops | |
87 | } elsif ($f =~ /^b(nan|floor|ceil|sstr|neg|abs|inc|dec|not|sqrt|fac)$/) { | |
88 | $try .= "\$x->$f();"; | |
89 | } elsif ($f eq "length") { | |
90 | $try .= '$x->length();'; | |
91 | } elsif ($f eq "exponent"){ | |
92 | # ->bstr() to see if an object is returned | |
93 | $try .= '$x = $x->exponent()->bstr();'; | |
94 | } elsif ($f eq "mantissa"){ | |
95 | # ->bstr() to see if an object is returned | |
96 | $try .= '$x = $x->mantissa()->bstr();'; | |
97 | } elsif ($f eq "parts"){ | |
98 | $try .= '($m,$e) = $x->parts();'; | |
99 | # ->bstr() to see if an object is returned | |
100 | $try .= '$m = $m->bstr(); $m = "NaN" if !defined $m;'; | |
101 | $try .= '$e = $e->bstr(); $e = "NaN" if !defined $e;'; | |
102 | $try .= '"$m,$e";'; | |
103 | } else { | |
104 | $try .= "\$y = $class->new('$args[1]');"; | |
105 | if ($f eq "bcmp") | |
106 | { | |
107 | $try .= '$x <=> $y;'; | |
108 | } elsif ($f eq "bround") { | |
109 | $try .= "$round_mode; \$x->bround(\$y);"; | |
110 | } elsif ($f eq "bacmp"){ | |
111 | $try .= '$x->bacmp($y);'; | |
112 | } elsif ($f eq "badd"){ | |
113 | $try .= '$x + $y;'; | |
114 | } elsif ($f eq "bsub"){ | |
115 | $try .= '$x - $y;'; | |
116 | } elsif ($f eq "bmul"){ | |
117 | $try .= '$x * $y;'; | |
118 | } elsif ($f eq "bdiv"){ | |
119 | $try .= '$x / $y;'; | |
120 | } elsif ($f eq "bdiv-list"){ | |
121 | $try .= 'join (",",$x->bdiv($y));'; | |
122 | # overload via x= | |
123 | } elsif ($f =~ /^.=$/){ | |
124 | $try .= "\$x $f \$y;"; | |
125 | # overload via x | |
126 | } elsif ($f =~ /^.$/){ | |
127 | $try .= "\$x $f \$y;"; | |
128 | } elsif ($f eq "bmod"){ | |
129 | $try .= '$x % $y;'; | |
130 | } elsif ($f eq "bgcd") | |
131 | { | |
132 | if (defined $args[2]) | |
133 | { | |
134 | $try .= " \$z = $class->new('$args[2]'); "; | |
135 | } | |
136 | $try .= "$class\::bgcd(\$x, \$y"; | |
137 | $try .= ", \$z" if (defined $args[2]); | |
138 | $try .= " );"; | |
139 | } | |
140 | elsif ($f eq "blcm") | |
141 | { | |
142 | if (defined $args[2]) | |
143 | { | |
144 | $try .= " \$z = $class->new('$args[2]'); "; | |
145 | } | |
146 | $try .= "$class\::blcm(\$x, \$y"; | |
147 | $try .= ", \$z" if (defined $args[2]); | |
148 | $try .= " );"; | |
149 | }elsif ($f eq "blsft"){ | |
150 | if (defined $args[2]) | |
151 | { | |
152 | $try .= "\$x->blsft(\$y,$args[2]);"; | |
153 | } | |
154 | else | |
155 | { | |
156 | $try .= "\$x << \$y;"; | |
157 | } | |
158 | }elsif ($f eq "brsft"){ | |
159 | if (defined $args[2]) | |
160 | { | |
161 | $try .= "\$x->brsft(\$y,$args[2]);"; | |
162 | } | |
163 | else | |
164 | { | |
165 | $try .= "\$x >> \$y;"; | |
166 | } | |
167 | }elsif ($f eq "band"){ | |
168 | $try .= "\$x & \$y;"; | |
169 | }elsif ($f eq "bior"){ | |
170 | $try .= "\$x | \$y;"; | |
171 | }elsif ($f eq "bxor"){ | |
172 | $try .= "\$x ^ \$y;"; | |
173 | }elsif ($f eq "bpow"){ | |
174 | $try .= "\$x ** \$y;"; | |
175 | }elsif ($f eq "digit"){ | |
176 | $try = "\$x = $class->new('$args[0]'); \$x->digit($args[1]);"; | |
177 | } else { warn "Unknown op '$f'"; } | |
178 | } # end else all other ops | |
179 | ||
180 | $ans1 = eval $try; | |
181 | # convert hex/binary targets to decimal | |
182 | if ($ans =~ /^(0x0x|0b0b)/) | |
183 | { | |
184 | $ans =~ s/^0[xb]//; $ans = Math::BigInt->new($ans)->bstr(); | |
185 | } | |
186 | if ($ans eq "") | |
187 | { | |
188 | ok_undef ($ans1); | |
189 | } | |
190 | else | |
191 | { | |
192 | # print "try: $try ans: $ans1 $ans\n"; | |
193 | print "# Tried: '$try'\n" if !ok ($ans1, $ans); | |
194 | if ($expected_class ne $class) | |
195 | { | |
196 | ok (ref($ans1),$expected_class); # also checks that it really is ref! | |
197 | ok ($Math::BigInt::upgrade,'Math::BigFloat'); # still okay? | |
198 | } | |
199 | } | |
200 | # check internal state of number objects | |
201 | is_valid($ans1,$f) if ref $ans1; | |
202 | } # endwhile data tests | |
203 | close DATA; | |
204 | ||
205 | # all tests done | |
206 | ||
207 | 1; | |
208 | ||
209 | ############################################################################### | |
210 | ############################################################################### | |
211 | # Perl 5.005 does not like ok ($x,undef) | |
212 | ||
213 | sub ok_undef | |
214 | { | |
215 | my $x = shift; | |
216 | ||
217 | ok (1,1) and return if !defined $x; | |
218 | ok ($x,'undef'); | |
219 | } | |
220 | ||
221 | ############################################################################### | |
222 | # sub to check validity of a BigInt internally, to ensure that no op leaves a | |
223 | # number object in an invalid state (f.i. "-0") | |
224 | ||
225 | sub is_valid | |
226 | { | |
227 | my ($x,$f,$c) = @_; | |
228 | ||
229 | # The checks here are loosened a bit to allow BigInt or BigFloats to pass | |
230 | ||
231 | my $e = 0; # error? | |
232 | # ok as reference? | |
233 | # $e = "Not a reference to $c" if (ref($x) || '') ne $c; | |
234 | ||
235 | # has ok sign? | |
236 | $e = "Illegal sign $x->{sign} (expected: '+', '-', '-inf', '+inf' or 'NaN'" | |
237 | if $e eq '0' && $x->{sign} !~ /^(\+|-|\+inf|-inf|NaN)$/; | |
238 | ||
239 | $e = "-0 is invalid!" if $e ne '0' && $x->{sign} eq '-' && $x == 0; | |
240 | #$e = $CALC->_check($x->{value}) if $e eq '0'; | |
241 | ||
242 | # test done, see if error did crop up | |
243 | ok (1,1), return if ($e eq '0'); | |
244 | ||
245 | ok (1,$e." after op '$f'"); | |
246 | } | |
247 | ||
248 | __DATA__ | |
249 | &.= | |
250 | 1234:-345:1234-345 | |
251 | &+= | |
252 | 1:2:3 | |
253 | -1:-2:-3 | |
254 | &-= | |
255 | 1:2:-1 | |
256 | -1:-2:1 | |
257 | &*= | |
258 | 2:3:6 | |
259 | -1:5:-5 | |
260 | &%= | |
261 | 100:3:1 | |
262 | 8:9:8 | |
263 | &/= | |
264 | 100:3:33 | |
265 | -8:2:-4 | |
266 | &|= | |
267 | 2:1:3 | |
268 | &&= | |
269 | 5:7:5 | |
270 | &^= | |
271 | 5:7:2 | |
272 | &is_negative | |
273 | 0:0 | |
274 | -1:1 | |
275 | 1:0 | |
276 | +inf:0 | |
277 | -inf:1 | |
278 | NaNneg:0 | |
279 | &is_positive | |
280 | 0:1 | |
281 | -1:0 | |
282 | 1:1 | |
283 | +inf:1 | |
284 | -inf:0 | |
285 | NaNneg:0 | |
286 | &is_odd | |
287 | abc:0 | |
288 | 0:0 | |
289 | 1:1 | |
290 | 3:1 | |
291 | -1:1 | |
292 | -3:1 | |
293 | 10000001:1 | |
294 | 10000002:0 | |
295 | 2:0 | |
296 | 120:0 | |
297 | 121:1 | |
298 | &is_int | |
299 | NaN:0 | |
300 | inf:0 | |
301 | -inf:0 | |
302 | 1:1 | |
303 | 12:1 | |
304 | 123e12:1 | |
305 | &is_even | |
306 | abc:0 | |
307 | 0:1 | |
308 | 1:0 | |
309 | 3:0 | |
310 | -1:0 | |
311 | -3:0 | |
312 | 10000001:0 | |
313 | 10000002:1 | |
314 | 2:1 | |
315 | 120:1 | |
316 | 121:0 | |
317 | &bacmp | |
318 | +0:-0:0 | |
319 | +0:+1:-1 | |
320 | -1:+1:0 | |
321 | +1:-1:0 | |
322 | -1:+2:-1 | |
323 | +2:-1:1 | |
324 | -123456789:+987654321:-1 | |
325 | +123456789:-987654321:-1 | |
326 | +987654321:+123456789:1 | |
327 | -987654321:+123456789:1 | |
328 | -123:+4567889:-1 | |
329 | # NaNs | |
330 | acmpNaN:123: | |
331 | 123:acmpNaN: | |
332 | acmpNaN:acmpNaN: | |
333 | # infinity | |
334 | +inf:+inf:0 | |
335 | -inf:-inf:0 | |
336 | +inf:-inf:0 | |
337 | -inf:+inf:0 | |
338 | +inf:123:1 | |
339 | -inf:123:1 | |
340 | +inf:-123:1 | |
341 | -inf:-123:1 | |
342 | # return undef | |
343 | +inf:NaN: | |
344 | NaN:inf: | |
345 | -inf:NaN: | |
346 | NaN:-inf: | |
347 | &bnorm | |
348 | 123:123 | |
349 | 12.3:12.3^ | |
350 | # binary input | |
351 | 0babc:NaN | |
352 | 0b123:NaN | |
353 | 0b0:0 | |
354 | -0b0:0 | |
355 | -0b1:-1 | |
356 | 0b0001:1 | |
357 | 0b001:1 | |
358 | 0b011:3 | |
359 | 0b101:5 | |
360 | 0b1001:9 | |
361 | 0b10001:17 | |
362 | 0b100001:33 | |
363 | 0b1000001:65 | |
364 | 0b10000001:129 | |
365 | 0b100000001:257 | |
366 | 0b1000000001:513 | |
367 | 0b10000000001:1025 | |
368 | 0b100000000001:2049 | |
369 | 0b1000000000001:4097 | |
370 | 0b10000000000001:8193 | |
371 | 0b100000000000001:16385 | |
372 | 0b1000000000000001:32769 | |
373 | 0b10000000000000001:65537 | |
374 | 0b100000000000000001:131073 | |
375 | 0b1000000000000000001:262145 | |
376 | 0b10000000000000000001:524289 | |
377 | 0b100000000000000000001:1048577 | |
378 | 0b1000000000000000000001:2097153 | |
379 | 0b10000000000000000000001:4194305 | |
380 | 0b100000000000000000000001:8388609 | |
381 | 0b1000000000000000000000001:16777217 | |
382 | 0b10000000000000000000000001:33554433 | |
383 | 0b100000000000000000000000001:67108865 | |
384 | 0b1000000000000000000000000001:134217729 | |
385 | 0b10000000000000000000000000001:268435457 | |
386 | 0b100000000000000000000000000001:536870913 | |
387 | 0b1000000000000000000000000000001:1073741825 | |
388 | 0b10000000000000000000000000000001:2147483649 | |
389 | 0b100000000000000000000000000000001:4294967297 | |
390 | 0b1000000000000000000000000000000001:8589934593 | |
391 | 0b10000000000000000000000000000000001:17179869185 | |
392 | 0b_101:NaN | |
393 | 0b1_0_1:5 | |
394 | 0b0_0_0_1:1 | |
395 | # hex input | |
396 | -0x0:0 | |
397 | 0xabcdefgh:NaN | |
398 | 0x1234:4660 | |
399 | 0xabcdef:11259375 | |
400 | -0xABCDEF:-11259375 | |
401 | -0x1234:-4660 | |
402 | 0x12345678:305419896 | |
403 | 0x1_2_3_4_56_78:305419896 | |
404 | 0xa_b_c_d_e_f:11259375 | |
405 | 0x_123:NaN | |
406 | 0x9:9 | |
407 | 0x11:17 | |
408 | 0x21:33 | |
409 | 0x41:65 | |
410 | 0x81:129 | |
411 | 0x101:257 | |
412 | 0x201:513 | |
413 | 0x401:1025 | |
414 | 0x801:2049 | |
415 | 0x1001:4097 | |
416 | 0x2001:8193 | |
417 | 0x4001:16385 | |
418 | 0x8001:32769 | |
419 | 0x10001:65537 | |
420 | 0x20001:131073 | |
421 | 0x40001:262145 | |
422 | 0x80001:524289 | |
423 | 0x100001:1048577 | |
424 | 0x200001:2097153 | |
425 | 0x400001:4194305 | |
426 | 0x800001:8388609 | |
427 | 0x1000001:16777217 | |
428 | 0x2000001:33554433 | |
429 | 0x4000001:67108865 | |
430 | 0x8000001:134217729 | |
431 | 0x10000001:268435457 | |
432 | 0x20000001:536870913 | |
433 | 0x40000001:1073741825 | |
434 | 0x80000001:2147483649 | |
435 | 0x100000001:4294967297 | |
436 | 0x200000001:8589934593 | |
437 | 0x400000001:17179869185 | |
438 | 0x800000001:34359738369 | |
439 | # inf input | |
440 | inf:inf | |
441 | +inf:inf | |
442 | -inf:-inf | |
443 | 0inf:NaN | |
444 | # abnormal input | |
445 | :NaN | |
446 | abc:NaN | |
447 | 1 a:NaN | |
448 | 1bcd2:NaN | |
449 | 11111b:NaN | |
450 | +1z:NaN | |
451 | -1z:NaN | |
452 | # only one underscore between two digits | |
453 | _123:NaN | |
454 | _123_:NaN | |
455 | 123_:NaN | |
456 | 1__23:NaN | |
457 | 1E1__2:NaN | |
458 | 1_E12:NaN | |
459 | 1E_12:NaN | |
460 | 1_E_12:NaN | |
461 | +_1E12:NaN | |
462 | +0_1E2:100 | |
463 | +0_0_1E2:100 | |
464 | -0_0_1E2:-100 | |
465 | -0_0_1E+0_0_2:-100 | |
466 | E1:NaN | |
467 | E23:NaN | |
468 | 1.23E1:12.3^ | |
469 | 1.23E-1:0.123^ | |
470 | # bug with two E's in number beeing valid | |
471 | 1e2e3:NaN | |
472 | 1e2r:NaN | |
473 | 1e2.0:NaN | |
474 | # leading zeros | |
475 | 012:12 | |
476 | 0123:123 | |
477 | 01234:1234 | |
478 | 012345:12345 | |
479 | 0123456:123456 | |
480 | 01234567:1234567 | |
481 | 012345678:12345678 | |
482 | 0123456789:123456789 | |
483 | 01234567891:1234567891 | |
484 | 012345678912:12345678912 | |
485 | 0123456789123:123456789123 | |
486 | 01234567891234:1234567891234 | |
487 | # normal input | |
488 | 0:0 | |
489 | +0:0 | |
490 | +00:0 | |
491 | +000:0 | |
492 | 000000000000000000:0 | |
493 | -0:0 | |
494 | -0000:0 | |
495 | +1:1 | |
496 | +01:1 | |
497 | +001:1 | |
498 | +00000100000:100000 | |
499 | 123456789:123456789 | |
500 | -1:-1 | |
501 | -01:-1 | |
502 | -001:-1 | |
503 | -123456789:-123456789 | |
504 | -00000100000:-100000 | |
505 | 1_2_3:123 | |
506 | 10000000000E-1_0:1 | |
507 | 1E2:100 | |
508 | 1E1:10 | |
509 | 1E0:1 | |
510 | 1.23E2:123 | |
511 | 100E-1:10 | |
512 | # floating point input | |
513 | # .2e2:20 | |
514 | 1.E3:1000 | |
515 | 1.01E2:101 | |
516 | 1010E-1:101 | |
517 | -1010E0:-1010 | |
518 | -1010E1:-10100 | |
519 | 1234.00:1234 | |
520 | # non-integer numbers | |
521 | -1010E-2:-10.1^ | |
522 | -1.01E+1:-10.1^ | |
523 | -1.01E-1:-0.101^ | |
524 | &bnan | |
525 | 1:NaN | |
526 | 2:NaN | |
527 | abc:NaN | |
528 | &bone | |
529 | 2:+:1 | |
530 | 2:-:-1 | |
531 | boneNaN:-:-1 | |
532 | boneNaN:+:1 | |
533 | 2:abc:1 | |
534 | 3::1 | |
535 | &binf | |
536 | 1:+:inf | |
537 | 2:-:-inf | |
538 | 3:abc:inf | |
539 | &is_nan | |
540 | 123:0 | |
541 | abc:1 | |
542 | NaN:1 | |
543 | -123:0 | |
544 | &is_inf | |
545 | +inf::1 | |
546 | -inf::1 | |
547 | abc::0 | |
548 | 1::0 | |
549 | NaN::0 | |
550 | -1::0 | |
551 | +inf:-:0 | |
552 | +inf:+:1 | |
553 | -inf:-:1 | |
554 | -inf:+:0 | |
555 | # it must be exactly /^[+-]inf$/ | |
556 | +infinity::0 | |
557 | -infinity::0 | |
558 | &blsft | |
559 | abc:abc:NaN | |
560 | +2:+2:8 | |
561 | +1:+32:4294967296 | |
562 | +1:+48:281474976710656 | |
563 | +8:-2:NaN | |
564 | # excercise base 10 | |
565 | +12345:4:10:123450000 | |
566 | -1234:0:10:-1234 | |
567 | +1234:0:10:1234 | |
568 | +2:2:10:200 | |
569 | +12:2:10:1200 | |
570 | +1234:-3:10:NaN | |
571 | 1234567890123:12:10:1234567890123000000000000 | |
572 | &brsft | |
573 | abc:abc:NaN | |
574 | +8:+2:2 | |
575 | +4294967296:+32:1 | |
576 | +281474976710656:+48:1 | |
577 | +2:-2:NaN | |
578 | # excercise base 10 | |
579 | -1234:0:10:-1234 | |
580 | +1234:0:10:1234 | |
581 | +200:2:10:2 | |
582 | +1234:3:10:1 | |
583 | +1234:2:10:12 | |
584 | +1234:-3:10:NaN | |
585 | 310000:4:10:31 | |
586 | 12300000:5:10:123 | |
587 | 1230000000000:10:10:123 | |
588 | 09876123456789067890:12:10:9876123 | |
589 | 1234561234567890123:13:10:123456 | |
590 | &bsstr | |
591 | 1e+34:1e+34 | |
592 | 123.456E3:123456e+0 | |
593 | 100:1e+2 | |
594 | abc:NaN | |
595 | &bneg | |
596 | bnegNaN:NaN | |
597 | +inf:-inf | |
598 | -inf:inf | |
599 | abd:NaN | |
600 | 0:0 | |
601 | 1:-1 | |
602 | -1:1 | |
603 | +123456789:-123456789 | |
604 | -123456789:123456789 | |
605 | &babs | |
606 | babsNaN:NaN | |
607 | +inf:inf | |
608 | -inf:inf | |
609 | 0:0 | |
610 | 1:1 | |
611 | -1:1 | |
612 | +123456789:123456789 | |
613 | -123456789:123456789 | |
614 | &bcmp | |
615 | bcmpNaN:bcmpNaN: | |
616 | bcmpNaN:0: | |
617 | 0:bcmpNaN: | |
618 | 0:0:0 | |
619 | -1:0:-1 | |
620 | 0:-1:1 | |
621 | 1:0:1 | |
622 | 0:1:-1 | |
623 | -1:1:-1 | |
624 | 1:-1:1 | |
625 | -1:-1:0 | |
626 | 1:1:0 | |
627 | 123:123:0 | |
628 | 123:12:1 | |
629 | 12:123:-1 | |
630 | -123:-123:0 | |
631 | -123:-12:-1 | |
632 | -12:-123:1 | |
633 | 123:124:-1 | |
634 | 124:123:1 | |
635 | -123:-124:1 | |
636 | -124:-123:-1 | |
637 | 100:5:1 | |
638 | -123456789:987654321:-1 | |
639 | +123456789:-987654321:1 | |
640 | -987654321:123456789:-1 | |
641 | -inf:5432112345:-1 | |
642 | +inf:5432112345:1 | |
643 | -inf:-5432112345:-1 | |
644 | +inf:-5432112345:1 | |
645 | +inf:+inf:0 | |
646 | -inf:-inf:0 | |
647 | +inf:-inf:1 | |
648 | -inf:+inf:-1 | |
649 | 5:inf:-1 | |
650 | 5:inf:-1 | |
651 | -5:-inf:1 | |
652 | -5:-inf:1 | |
653 | # return undef | |
654 | +inf:NaN: | |
655 | NaN:inf: | |
656 | -inf:NaN: | |
657 | NaN:-inf: | |
658 | &binc | |
659 | abc:NaN | |
660 | +inf:inf | |
661 | -inf:-inf | |
662 | +0:1 | |
663 | +1:2 | |
664 | -1:0 | |
665 | &bdec | |
666 | abc:NaN | |
667 | +inf:inf | |
668 | -inf:-inf | |
669 | +0:-1 | |
670 | +1:0 | |
671 | -1:-2 | |
672 | &badd | |
673 | abc:abc:NaN | |
674 | abc:0:NaN | |
675 | +0:abc:NaN | |
676 | +inf:-inf:NaN | |
677 | -inf:+inf:NaN | |
678 | +inf:+inf:inf | |
679 | -inf:-inf:-inf | |
680 | baddNaN:+inf:NaN | |
681 | baddNaN:+inf:NaN | |
682 | +inf:baddNaN:NaN | |
683 | -inf:baddNaN:NaN | |
684 | 0:0:0 | |
685 | 1:0:1 | |
686 | 0:1:1 | |
687 | 1:1:2 | |
688 | -1:0:-1 | |
689 | 0:-1:-1 | |
690 | -1:-1:-2 | |
691 | -1:+1:0 | |
692 | +1:-1:0 | |
693 | +9:+1:10 | |
694 | +99:+1:100 | |
695 | +999:+1:1000 | |
696 | +9999:+1:10000 | |
697 | +99999:+1:100000 | |
698 | +999999:+1:1000000 | |
699 | +9999999:+1:10000000 | |
700 | +99999999:+1:100000000 | |
701 | +999999999:+1:1000000000 | |
702 | +9999999999:+1:10000000000 | |
703 | +99999999999:+1:100000000000 | |
704 | +10:-1:9 | |
705 | +100:-1:99 | |
706 | +1000:-1:999 | |
707 | +10000:-1:9999 | |
708 | +100000:-1:99999 | |
709 | +1000000:-1:999999 | |
710 | +10000000:-1:9999999 | |
711 | +100000000:-1:99999999 | |
712 | +1000000000:-1:999999999 | |
713 | +10000000000:-1:9999999999 | |
714 | +123456789:987654321:1111111110 | |
715 | -123456789:987654321:864197532 | |
716 | -123456789:-987654321:-1111111110 | |
717 | +123456789:-987654321:-864197532 | |
718 | #2:2.5:4.5^ | |
719 | #-123:-1.5:-124.5^ | |
720 | #-1.2:1:-0.2^ | |
721 | &bsub | |
722 | abc:abc:NaN | |
723 | abc:+0:NaN | |
724 | +0:abc:NaN | |
725 | +inf:-inf:inf | |
726 | -inf:+inf:-inf | |
727 | +inf:+inf:NaN | |
728 | -inf:-inf:NaN | |
729 | +0:+0:0 | |
730 | +1:+0:1 | |
731 | +0:+1:-1 | |
732 | +1:+1:0 | |
733 | -1:+0:-1 | |
734 | +0:-1:1 | |
735 | -1:-1:0 | |
736 | -1:+1:-2 | |
737 | +1:-1:2 | |
738 | +9:+1:8 | |
739 | +99:+1:98 | |
740 | +999:+1:998 | |
741 | +9999:+1:9998 | |
742 | +99999:+1:99998 | |
743 | +999999:+1:999998 | |
744 | +9999999:+1:9999998 | |
745 | +99999999:+1:99999998 | |
746 | +999999999:+1:999999998 | |
747 | +9999999999:+1:9999999998 | |
748 | +99999999999:+1:99999999998 | |
749 | +10:-1:11 | |
750 | +100:-1:101 | |
751 | +1000:-1:1001 | |
752 | +10000:-1:10001 | |
753 | +100000:-1:100001 | |
754 | +1000000:-1:1000001 | |
755 | +10000000:-1:10000001 | |
756 | +100000000:-1:100000001 | |
757 | +1000000000:-1:1000000001 | |
758 | +10000000000:-1:10000000001 | |
759 | +123456789:+987654321:-864197532 | |
760 | -123456789:+987654321:-1111111110 | |
761 | -123456789:-987654321:864197532 | |
762 | +123456789:-987654321:1111111110 | |
763 | &bmul | |
764 | abc:abc:NaN | |
765 | abc:+0:NaN | |
766 | +0:abc:NaN | |
767 | NaNmul:+inf:NaN | |
768 | NaNmul:-inf:NaN | |
769 | -inf:NaNmul:NaN | |
770 | +inf:NaNmul:NaN | |
771 | +inf:+inf:inf | |
772 | +inf:-inf:-inf | |
773 | -inf:+inf:-inf | |
774 | -inf:-inf:inf | |
775 | +0:+0:0 | |
776 | +0:+1:0 | |
777 | +1:+0:0 | |
778 | +0:-1:0 | |
779 | -1:+0:0 | |
780 | 123456789123456789:0:0 | |
781 | 0:123456789123456789:0 | |
782 | -1:-1:1 | |
783 | -1:+1:-1 | |
784 | +1:-1:-1 | |
785 | +1:+1:1 | |
786 | +2:+3:6 | |
787 | -2:+3:-6 | |
788 | +2:-3:-6 | |
789 | -2:-3:6 | |
790 | 111:111:12321 | |
791 | 10101:10101:102030201 | |
792 | 1001001:1001001:1002003002001 | |
793 | 100010001:100010001:10002000300020001 | |
794 | 10000100001:10000100001:100002000030000200001 | |
795 | 11111111111:9:99999999999 | |
796 | 22222222222:9:199999999998 | |
797 | 33333333333:9:299999999997 | |
798 | 44444444444:9:399999999996 | |
799 | 55555555555:9:499999999995 | |
800 | 66666666666:9:599999999994 | |
801 | 77777777777:9:699999999993 | |
802 | 88888888888:9:799999999992 | |
803 | 99999999999:9:899999999991 | |
804 | +25:+25:625 | |
805 | +12345:+12345:152399025 | |
806 | +99999:+11111:1111088889 | |
807 | 9999:10000:99990000 | |
808 | 99999:100000:9999900000 | |
809 | 999999:1000000:999999000000 | |
810 | 9999999:10000000:99999990000000 | |
811 | 99999999:100000000:9999999900000000 | |
812 | 999999999:1000000000:999999999000000000 | |
813 | 9999999999:10000000000:99999999990000000000 | |
814 | 99999999999:100000000000:9999999999900000000000 | |
815 | 999999999999:1000000000000:999999999999000000000000 | |
816 | 9999999999999:10000000000000:99999999999990000000000000 | |
817 | 99999999999999:100000000000000:9999999999999900000000000000 | |
818 | 999999999999999:1000000000000000:999999999999999000000000000000 | |
819 | 9999999999999999:10000000000000000:99999999999999990000000000000000 | |
820 | 99999999999999999:100000000000000000:9999999999999999900000000000000000 | |
821 | 999999999999999999:1000000000000000000:999999999999999999000000000000000000 | |
822 | 9999999999999999999:10000000000000000000:99999999999999999990000000000000000000 | |
823 | &bdiv-list | |
824 | 100:20:5,0 | |
825 | 4095:4095:1,0 | |
826 | -4095:-4095:1,0 | |
827 | 4095:-4095:-1,0 | |
828 | -4095:4095:-1,0 | |
829 | 123:2:61,1 | |
830 | 9:5:1,4 | |
831 | 9:4:2,1 | |
832 | # inf handling and general remainder | |
833 | 5:8:0.625,5 | |
834 | 0:8:0,0 | |
835 | 11:2:5,1 | |
836 | 11:-2:-5,-1 | |
837 | -11:2:-5,1 | |
838 | # see table in documentation in MBI | |
839 | 0:inf:0,0 | |
840 | 0:-inf:0,0 | |
841 | 5:inf:0,5 | |
842 | 5:-inf:0,5 | |
843 | -5:inf:0,-5 | |
844 | -5:-inf:0,-5 | |
845 | inf:5:inf,0 | |
846 | -inf:5:-inf,0 | |
847 | inf:-5:-inf,0 | |
848 | -inf:-5:inf,0 | |
849 | 5:5:1,0 | |
850 | -5:-5:1,0 | |
851 | inf:inf:NaN,NaN | |
852 | -inf:-inf:NaN,NaN | |
853 | -inf:inf:NaN,NaN | |
854 | inf:-inf:NaN,NaN | |
855 | 8:0:inf,8 | |
856 | inf:0:inf,inf | |
857 | # exceptions to reminder rule | |
858 | -8:0:-inf,-8 | |
859 | -inf:0:-inf,-inf | |
860 | 0:0:NaN,NaN | |
861 | &bdiv | |
862 | abc:abc:NaN | |
863 | abc:1:NaN | |
864 | 1:abc:NaN | |
865 | 0:0:NaN | |
866 | # inf handling (see table in doc) | |
867 | 0:inf:0 | |
868 | 0:-inf:0 | |
869 | 5:inf:0 | |
870 | 5:-inf:0 | |
871 | -5:inf:0 | |
872 | -5:-inf:0 | |
873 | inf:5:inf | |
874 | -inf:5:-inf | |
875 | inf:-5:-inf | |
876 | -inf:-5:inf | |
877 | 5:5:1 | |
878 | -5:-5:1 | |
879 | inf:inf:NaN | |
880 | -inf:-inf:NaN | |
881 | -inf:inf:NaN | |
882 | inf:-inf:NaN | |
883 | 8:0:inf | |
884 | inf:0:inf | |
885 | -8:0:-inf | |
886 | -inf:0:-inf | |
887 | 0:0:NaN | |
888 | 11:2:5 | |
889 | -11:-2:5 | |
890 | -11:2:-5 | |
891 | 11:-2:-5 | |
892 | 0:1:0 | |
893 | 0:-1:0 | |
894 | 1:1:1 | |
895 | -1:-1:1 | |
896 | 1:-1:-1 | |
897 | -1:1:-1 | |
898 | 1:2:0.5^ | |
899 | 2:1:2 | |
900 | 1000000000:9:111111111 | |
901 | 2000000000:9:222222222 | |
902 | 3000000000:9:333333333 | |
903 | 4000000000:9:444444444 | |
904 | 5000000000:9:555555555 | |
905 | 6000000000:9:666666666 | |
906 | 7000000000:9:777777777 | |
907 | 8000000000:9:888888888 | |
908 | 9000000000:9:1000000000 | |
909 | 35500000:113:314159 | |
910 | 71000000:226:314159 | |
911 | 106500000:339:314159 | |
912 | 1000000000:3:333333333 | |
913 | +10:+5:2 | |
914 | +100:+4:25 | |
915 | +1000:+8:125 | |
916 | +10000:+16:625 | |
917 | 999999999999:9:111111111111 | |
918 | 999999999999:99:10101010101 | |
919 | 999999999999:999:1001001001 | |
920 | 999999999999:9999:100010001 | |
921 | 999999999999999:99999:10000100001 | |
922 | +1111088889:99999:11111 | |
923 | -5:-3:1 | |
924 | -5:3:-1 | |
925 | 4:3:1 | |
926 | 4:-3:-1 | |
927 | 1:3:0.3333333333333333333333333333333333333333 | |
928 | 1:-3:-0.3333333333333333333333333333333333333333 | |
929 | -2:-3:0.6666666666666666666666666666666666666667 | |
930 | -2:3:-0.6666666666666666666666666666666666666667 | |
931 | #8:5:1.6^ | |
932 | #-8:5:-1.6^ | |
933 | 8:5:1 | |
934 | -8:5:-1 | |
935 | 14:-3:-4 | |
936 | -14:3:-4 | |
937 | -14:-3:4 | |
938 | 14:3:4 | |
939 | # bug in Calc with '99999' vs $BASE-1 | |
940 | 10000000000000000000000000000000000000000000000000000000000000000000000000000000000:10000000375084540248994272022843165711074:999999962491547381984643365663244474111576 | |
941 | 12:24:0.5^ | |
942 | &bmod | |
943 | # inf handling, see table in doc | |
944 | 0:inf:0 | |
945 | 0:-inf:0 | |
946 | 5:inf:5 | |
947 | 5:-inf:5 | |
948 | -5:inf:-5 | |
949 | -5:-inf:-5 | |
950 | inf:5:0 | |
951 | -inf:5:0 | |
952 | inf:-5:0 | |
953 | -inf:-5:0 | |
954 | 5:5:0 | |
955 | -5:-5:0 | |
956 | inf:inf:NaN | |
957 | -inf:-inf:NaN | |
958 | -inf:inf:NaN | |
959 | inf:-inf:NaN | |
960 | 8:0:8 | |
961 | inf:0:inf | |
962 | # exceptions to reminder rule | |
963 | -inf:0:-inf | |
964 | -8:0:-8 | |
965 | 0:0:NaN | |
966 | abc:abc:NaN | |
967 | abc:1:abc:NaN | |
968 | 1:abc:NaN | |
969 | 0:0:NaN | |
970 | 0:1:0 | |
971 | 1:0:1 | |
972 | 0:-1:0 | |
973 | -1:0:-1 | |
974 | 1:1:0 | |
975 | -1:-1:0 | |
976 | 1:-1:0 | |
977 | -1:1:0 | |
978 | 1:2:1 | |
979 | 2:1:0 | |
980 | 1000000000:9:1 | |
981 | 2000000000:9:2 | |
982 | 3000000000:9:3 | |
983 | 4000000000:9:4 | |
984 | 5000000000:9:5 | |
985 | 6000000000:9:6 | |
986 | 7000000000:9:7 | |
987 | 8000000000:9:8 | |
988 | 9000000000:9:0 | |
989 | 35500000:113:33 | |
990 | 71000000:226:66 | |
991 | 106500000:339:99 | |
992 | 1000000000:3:1 | |
993 | 10:5:0 | |
994 | 100:4:0 | |
995 | 1000:8:0 | |
996 | 10000:16:0 | |
997 | 999999999999:9:0 | |
998 | 999999999999:99:0 | |
999 | 999999999999:999:0 | |
1000 | 999999999999:9999:0 | |
1001 | 999999999999999:99999:0 | |
1002 | -9:+5:1 | |
1003 | +9:-5:-1 | |
1004 | -9:-5:-4 | |
1005 | -5:3:1 | |
1006 | -2:3:1 | |
1007 | 4:3:1 | |
1008 | 1:3:1 | |
1009 | -5:-3:-2 | |
1010 | -2:-3:-2 | |
1011 | 4:-3:-2 | |
1012 | 1:-3:-2 | |
1013 | 4095:4095:0 | |
1014 | 100041000510123:3:0 | |
1015 | 152403346:12345:4321 | |
1016 | 9:5:4 | |
1017 | &bgcd | |
1018 | abc:abc:NaN | |
1019 | abc:+0:NaN | |
1020 | +0:abc:NaN | |
1021 | +0:+0:0 | |
1022 | +0:+1:1 | |
1023 | +1:+0:1 | |
1024 | +1:+1:1 | |
1025 | +2:+3:1 | |
1026 | +3:+2:1 | |
1027 | -3:+2:1 | |
1028 | 100:625:25 | |
1029 | 4096:81:1 | |
1030 | 1034:804:2 | |
1031 | 27:90:56:1 | |
1032 | 27:90:54:9 | |
1033 | &blcm | |
1034 | abc:abc:NaN | |
1035 | abc:+0:NaN | |
1036 | +0:abc:NaN | |
1037 | +0:+0:NaN | |
1038 | +1:+0:0 | |
1039 | +0:+1:0 | |
1040 | +27:+90:270 | |
1041 | +1034:+804:415668 | |
1042 | &band | |
1043 | abc:abc:NaN | |
1044 | abc:0:NaN | |
1045 | 0:abc:NaN | |
1046 | 1:2:0 | |
1047 | 3:2:2 | |
1048 | +8:+2:0 | |
1049 | +281474976710656:0:0 | |
1050 | +281474976710656:1:0 | |
1051 | +281474976710656:+281474976710656:281474976710656 | |
1052 | -2:-3:-4 | |
1053 | -1:-1:-1 | |
1054 | -6:-6:-6 | |
1055 | -7:-4:-8 | |
1056 | -7:4:0 | |
1057 | -4:7:4 | |
1058 | # equal arguments are treated special, so also do some test with unequal ones | |
1059 | 0xFFFF:0xFFFF:0x0xFFFF | |
1060 | 0xFFFFFF:0xFFFFFF:0x0xFFFFFF | |
1061 | 0xFFFFFFFF:0xFFFFFFFF:0x0xFFFFFFFF | |
1062 | 0xFFFFFFFFFF:0xFFFFFFFFFF:0x0xFFFFFFFFFF | |
1063 | 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF | |
1064 | 0xF0F0:0xF0F0:0x0xF0F0 | |
1065 | 0x0F0F:0x0F0F:0x0x0F0F | |
1066 | 0xF0F0F0:0xF0F0F0:0x0xF0F0F0 | |
1067 | 0x0F0F0F:0x0F0F0F:0x0x0F0F0F | |
1068 | 0xF0F0F0F0:0xF0F0F0F0:0x0xF0F0F0F0 | |
1069 | 0x0F0F0F0F:0x0F0F0F0F:0x0x0F0F0F0F | |
1070 | 0xF0F0F0F0F0:0xF0F0F0F0F0:0x0xF0F0F0F0F0 | |
1071 | 0x0F0F0F0F0F:0x0F0F0F0F0F:0x0x0F0F0F0F0F | |
1072 | 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0x0xF0F0F0F0F0F0 | |
1073 | 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0x0x0F0F0F0F0F0F | |
1074 | 0x1F0F0F0F0F0F:0x3F0F0F0F0F0F:0x0x1F0F0F0F0F0F | |
1075 | &bior | |
1076 | abc:abc:NaN | |
1077 | abc:0:NaN | |
1078 | 0:abc:NaN | |
1079 | 1:2:3 | |
1080 | +8:+2:10 | |
1081 | +281474976710656:0:281474976710656 | |
1082 | +281474976710656:1:281474976710657 | |
1083 | +281474976710656:281474976710656:281474976710656 | |
1084 | -2:-3:-1 | |
1085 | -1:-1:-1 | |
1086 | -6:-6:-6 | |
1087 | -7:4:-3 | |
1088 | -4:7:-1 | |
1089 | # equal arguments are treated special, so also do some test with unequal ones | |
1090 | 0xFFFF:0xFFFF:0x0xFFFF | |
1091 | 0xFFFFFF:0xFFFFFF:0x0xFFFFFF | |
1092 | 0xFFFFFFFF:0xFFFFFFFF:0x0xFFFFFFFF | |
1093 | 0xFFFFFFFFFF:0xFFFFFFFFFF:0x0xFFFFFFFFFF | |
1094 | 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF | |
1095 | 0:0xFFFF:0x0xFFFF | |
1096 | 0:0xFFFFFF:0x0xFFFFFF | |
1097 | 0:0xFFFFFFFF:0x0xFFFFFFFF | |
1098 | 0:0xFFFFFFFFFF:0x0xFFFFFFFFFF | |
1099 | 0:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF | |
1100 | 0xFFFF:0:0x0xFFFF | |
1101 | 0xFFFFFF:0:0x0xFFFFFF | |
1102 | 0xFFFFFFFF:0:0x0xFFFFFFFF | |
1103 | 0xFFFFFFFFFF:0:0x0xFFFFFFFFFF | |
1104 | 0xFFFFFFFFFFFF:0:0x0xFFFFFFFFFFFF | |
1105 | 0xF0F0:0xF0F0:0x0xF0F0 | |
1106 | 0x0F0F:0x0F0F:0x0x0F0F | |
1107 | 0xF0F0:0x0F0F:0x0xFFFF | |
1108 | 0xF0F0F0:0xF0F0F0:0x0xF0F0F0 | |
1109 | 0x0F0F0F:0x0F0F0F:0x0x0F0F0F | |
1110 | 0x0F0F0F:0xF0F0F0:0x0xFFFFFF | |
1111 | 0xF0F0F0F0:0xF0F0F0F0:0x0xF0F0F0F0 | |
1112 | 0x0F0F0F0F:0x0F0F0F0F:0x0x0F0F0F0F | |
1113 | 0x0F0F0F0F:0xF0F0F0F0:0x0xFFFFFFFF | |
1114 | 0xF0F0F0F0F0:0xF0F0F0F0F0:0x0xF0F0F0F0F0 | |
1115 | 0x0F0F0F0F0F:0x0F0F0F0F0F:0x0x0F0F0F0F0F | |
1116 | 0x0F0F0F0F0F:0xF0F0F0F0F0:0x0xFFFFFFFFFF | |
1117 | 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0x0xF0F0F0F0F0F0 | |
1118 | 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0x0x0F0F0F0F0F0F | |
1119 | 0x0F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF | |
1120 | 0x1F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF | |
1121 | &bxor | |
1122 | abc:abc:NaN | |
1123 | abc:0:NaN | |
1124 | 0:abc:NaN | |
1125 | 1:2:3 | |
1126 | +8:+2:10 | |
1127 | +281474976710656:0:281474976710656 | |
1128 | +281474976710656:1:281474976710657 | |
1129 | +281474976710656:281474976710656:0 | |
1130 | -2:-3:3 | |
1131 | -1:-1:0 | |
1132 | -6:-6:0 | |
1133 | -7:4:-3 | |
1134 | -4:7:-5 | |
1135 | 4:-7:-3 | |
1136 | -4:-7:5 | |
1137 | # equal arguments are treated special, so also do some test with unequal ones | |
1138 | 0xFFFF:0xFFFF:0 | |
1139 | 0xFFFFFF:0xFFFFFF:0 | |
1140 | 0xFFFFFFFF:0xFFFFFFFF:0 | |
1141 | 0xFFFFFFFFFF:0xFFFFFFFFFF:0 | |
1142 | 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0 | |
1143 | 0:0xFFFF:0x0xFFFF | |
1144 | 0:0xFFFFFF:0x0xFFFFFF | |
1145 | 0:0xFFFFFFFF:0x0xFFFFFFFF | |
1146 | 0:0xFFFFFFFFFF:0x0xFFFFFFFFFF | |
1147 | 0:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF | |
1148 | 0xFFFF:0:0x0xFFFF | |
1149 | 0xFFFFFF:0:0x0xFFFFFF | |
1150 | 0xFFFFFFFF:0:0x0xFFFFFFFF | |
1151 | 0xFFFFFFFFFF:0:0x0xFFFFFFFFFF | |
1152 | 0xFFFFFFFFFFFF:0:0x0xFFFFFFFFFFFF | |
1153 | 0xF0F0:0xF0F0:0 | |
1154 | 0x0F0F:0x0F0F:0 | |
1155 | 0xF0F0:0x0F0F:0x0xFFFF | |
1156 | 0xF0F0F0:0xF0F0F0:0 | |
1157 | 0x0F0F0F:0x0F0F0F:0 | |
1158 | 0x0F0F0F:0xF0F0F0:0x0xFFFFFF | |
1159 | 0xF0F0F0F0:0xF0F0F0F0:0 | |
1160 | 0x0F0F0F0F:0x0F0F0F0F:0 | |
1161 | 0x0F0F0F0F:0xF0F0F0F0:0x0xFFFFFFFF | |
1162 | 0xF0F0F0F0F0:0xF0F0F0F0F0:0 | |
1163 | 0x0F0F0F0F0F:0x0F0F0F0F0F:0 | |
1164 | 0x0F0F0F0F0F:0xF0F0F0F0F0:0x0xFFFFFFFFFF | |
1165 | 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0 | |
1166 | 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0 | |
1167 | 0x0F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF | |
1168 | &bnot | |
1169 | abc:NaN | |
1170 | +0:-1 | |
1171 | +8:-9 | |
1172 | +281474976710656:-281474976710657 | |
1173 | -1:0 | |
1174 | -2:1 | |
1175 | -12:11 | |
1176 | &digit | |
1177 | 0:0:0 | |
1178 | 12:0:2 | |
1179 | 12:1:1 | |
1180 | 123:0:3 | |
1181 | 123:1:2 | |
1182 | 123:2:1 | |
1183 | 123:-1:1 | |
1184 | 123:-2:2 | |
1185 | 123:-3:3 | |
1186 | 123456:0:6 | |
1187 | 123456:1:5 | |
1188 | 123456:2:4 | |
1189 | 123456:3:3 | |
1190 | 123456:4:2 | |
1191 | 123456:5:1 | |
1192 | 123456:-1:1 | |
1193 | 123456:-2:2 | |
1194 | 123456:-3:3 | |
1195 | 100000:-3:0 | |
1196 | 100000:0:0 | |
1197 | 100000:1:0 | |
1198 | &mantissa | |
1199 | abc:NaN | |
1200 | 1e4:1 | |
1201 | 2e0:2 | |
1202 | 123:123 | |
1203 | -1:-1 | |
1204 | -2:-2 | |
1205 | +inf:inf | |
1206 | -inf:-inf | |
1207 | &exponent | |
1208 | abc:NaN | |
1209 | 1e4:4 | |
1210 | 2e0:0 | |
1211 | 123:0 | |
1212 | -1:0 | |
1213 | -2:0 | |
1214 | 0:1 | |
1215 | +inf:inf | |
1216 | -inf:inf | |
1217 | &parts | |
1218 | abc:NaN,NaN | |
1219 | 1e4:1,4 | |
1220 | 2e0:2,0 | |
1221 | 123:123,0 | |
1222 | -1:-1,0 | |
1223 | -2:-2,0 | |
1224 | 0:0,1 | |
1225 | +inf:inf,inf | |
1226 | -inf:-inf,inf | |
1227 | &bfac | |
1228 | -1:NaN | |
1229 | NaNfac:NaN | |
1230 | +inf:NaN | |
1231 | -inf:NaN | |
1232 | 0:1 | |
1233 | 1:1 | |
1234 | 2:2 | |
1235 | 3:6 | |
1236 | 4:24 | |
1237 | 5:120 | |
1238 | 6:720 | |
1239 | 10:3628800 | |
1240 | 11:39916800 | |
1241 | 12:479001600 | |
1242 | &bpow | |
1243 | abc:12:NaN | |
1244 | 12:abc:NaN | |
1245 | 0:0:1 | |
1246 | 0:1:0 | |
1247 | 0:2:0 | |
1248 | 0:-1:NaN | |
1249 | 0:-2:NaN | |
1250 | 1:0:1 | |
1251 | 1:1:1 | |
1252 | 1:2:1 | |
1253 | 1:3:1 | |
1254 | 1:-1:1 | |
1255 | 1:-2:1 | |
1256 | 1:-3:1 | |
1257 | 2:0:1 | |
1258 | 2:1:2 | |
1259 | 2:2:4 | |
1260 | 2:3:8 | |
1261 | 3:3:27 | |
1262 | 2:-1:NaN | |
1263 | -2:-1:NaN | |
1264 | 2:-2:NaN | |
1265 | -2:-2:NaN | |
1266 | +inf:1234500012:inf | |
1267 | -inf:1234500012:-inf | |
1268 | +inf:-12345000123:inf | |
1269 | -inf:-12345000123:-inf | |
1270 | # 1 ** -x => 1 / (1 ** x) | |
1271 | -1:0:1 | |
1272 | -2:0:1 | |
1273 | -1:1:-1 | |
1274 | -1:2:1 | |
1275 | -1:3:-1 | |
1276 | -1:4:1 | |
1277 | -1:5:-1 | |
1278 | -1:-1:-1 | |
1279 | -1:-2:1 | |
1280 | -1:-3:-1 | |
1281 | -1:-4:1 | |
1282 | 10:2:100 | |
1283 | 10:3:1000 | |
1284 | 10:4:10000 | |
1285 | 10:5:100000 | |
1286 | 10:6:1000000 | |
1287 | 10:7:10000000 | |
1288 | 10:8:100000000 | |
1289 | 10:9:1000000000 | |
1290 | 10:20:100000000000000000000 | |
1291 | 123456:2:15241383936 | |
1292 | &length | |
1293 | 100:3 | |
1294 | 10:2 | |
1295 | 1:1 | |
1296 | 0:1 | |
1297 | 12345:5 | |
1298 | 10000000000000000:17 | |
1299 | -123:3 | |
1300 | 215960156869840440586892398248:30 | |
1301 | &bsqrt | |
1302 | 145:12.04159457879229548012824103037860805243^ | |
1303 | 144:12^ | |
1304 | 143:11.95826074310139802112984075619561661399^ | |
1305 | 16:4 | |
1306 | 170:13.03840481040529742916594311485836883306^ | |
1307 | 169:13 | |
1308 | 168:12.96148139681572046193193487217599331541^ | |
1309 | 4:2 | |
1310 | 3:1.732050807568877293527446341505872366943^ | |
1311 | 2:1.41421356237309504880168872420969807857^ | |
1312 | 9:3 | |
1313 | 12:3.464101615137754587054892683011744733886^ | |
1314 | 256:16 | |
1315 | 100000000:10000 | |
1316 | 4000000000000:2000000 | |
1317 | 152399026:12345.00004050222755607815159966235881398^ | |
1318 | 152399025:12345 | |
1319 | 152399024:12344.99995949777231103967404745303741942^ | |
1320 | 1:1 | |
1321 | 0:0 | |
1322 | -2:NaN | |
1323 | -123:NaN | |
1324 | Nan:NaN | |
1325 | +inf:NaN | |
1326 | &bround | |
1327 | $round_mode('trunc') | |
1328 | 0:12:0 | |
1329 | NaNbround:12:NaN | |
1330 | +inf:12:inf | |
1331 | -inf:12:-inf | |
1332 | 1234:0:1234 | |
1333 | 1234:2:1200 | |
1334 | 123456:4:123400 | |
1335 | 123456:5:123450 | |
1336 | 123456:6:123456 | |
1337 | +10123456789:5:10123000000 | |
1338 | -10123456789:5:-10123000000 | |
1339 | +10123456789:9:10123456700 | |
1340 | -10123456789:9:-10123456700 | |
1341 | +101234500:6:101234000 | |
1342 | -101234500:6:-101234000 | |
1343 | #+101234500:-4:101234000 | |
1344 | #-101234500:-4:-101234000 | |
1345 | $round_mode('zero') | |
1346 | +20123456789:5:20123000000 | |
1347 | -20123456789:5:-20123000000 | |
1348 | +20123456789:9:20123456800 | |
1349 | -20123456789:9:-20123456800 | |
1350 | +201234500:6:201234000 | |
1351 | -201234500:6:-201234000 | |
1352 | #+201234500:-4:201234000 | |
1353 | #-201234500:-4:-201234000 | |
1354 | +12345000:4:12340000 | |
1355 | -12345000:4:-12340000 | |
1356 | $round_mode('+inf') | |
1357 | +30123456789:5:30123000000 | |
1358 | -30123456789:5:-30123000000 | |
1359 | +30123456789:9:30123456800 | |
1360 | -30123456789:9:-30123456800 | |
1361 | +301234500:6:301235000 | |
1362 | -301234500:6:-301234000 | |
1363 | #+301234500:-4:301235000 | |
1364 | #-301234500:-4:-301234000 | |
1365 | +12345000:4:12350000 | |
1366 | -12345000:4:-12340000 | |
1367 | $round_mode('-inf') | |
1368 | +40123456789:5:40123000000 | |
1369 | -40123456789:5:-40123000000 | |
1370 | +40123456789:9:40123456800 | |
1371 | -40123456789:9:-40123456800 | |
1372 | +401234500:6:401234000 | |
1373 | +401234500:6:401234000 | |
1374 | #-401234500:-4:-401235000 | |
1375 | #-401234500:-4:-401235000 | |
1376 | +12345000:4:12340000 | |
1377 | -12345000:4:-12350000 | |
1378 | $round_mode('odd') | |
1379 | +50123456789:5:50123000000 | |
1380 | -50123456789:5:-50123000000 | |
1381 | +50123456789:9:50123456800 | |
1382 | -50123456789:9:-50123456800 | |
1383 | +501234500:6:501235000 | |
1384 | -501234500:6:-501235000 | |
1385 | #+501234500:-4:501235000 | |
1386 | #-501234500:-4:-501235000 | |
1387 | +12345000:4:12350000 | |
1388 | -12345000:4:-12350000 | |
1389 | $round_mode('even') | |
1390 | +60123456789:5:60123000000 | |
1391 | -60123456789:5:-60123000000 | |
1392 | +60123456789:9:60123456800 | |
1393 | -60123456789:9:-60123456800 | |
1394 | +601234500:6:601234000 | |
1395 | -601234500:6:-601234000 | |
1396 | #+601234500:-4:601234000 | |
1397 | #-601234500:-4:-601234000 | |
1398 | #-601234500:-9:0 | |
1399 | #-501234500:-9:0 | |
1400 | #-601234500:-8:0 | |
1401 | #-501234500:-8:0 | |
1402 | +1234567:7:1234567 | |
1403 | +1234567:6:1234570 | |
1404 | +12345000:4:12340000 | |
1405 | -12345000:4:-12340000 | |
1406 | &is_zero | |
1407 | 0:1 | |
1408 | NaNzero:0 | |
1409 | +inf:0 | |
1410 | -inf:0 | |
1411 | 123:0 | |
1412 | -1:0 | |
1413 | 1:0 | |
1414 | &is_one | |
1415 | 0:0 | |
1416 | NaNone:0 | |
1417 | +inf:0 | |
1418 | -inf:0 | |
1419 | 1:1 | |
1420 | 2:0 | |
1421 | -1:0 | |
1422 | -2:0 | |
1423 | # floor and ceil tests are pretty pointless in integer space...but play safe | |
1424 | &bfloor | |
1425 | 0:0 | |
1426 | NaNfloor:NaN | |
1427 | +inf:inf | |
1428 | -inf:-inf | |
1429 | -1:-1 | |
1430 | -2:-2 | |
1431 | 2:2 | |
1432 | 3:3 | |
1433 | abc:NaN | |
1434 | &bceil | |
1435 | NaNceil:NaN | |
1436 | +inf:inf | |
1437 | -inf:-inf | |
1438 | 0:0 | |
1439 | -1:-1 | |
1440 | -2:-2 | |
1441 | 2:2 | |
1442 | 3:3 | |
1443 | abc:NaN | |
1444 | &as_hex | |
1445 | 128:0x80 | |
1446 | -128:-0x80 | |
1447 | 0:0x0 | |
1448 | -0:0x0 | |
1449 | 1:0x1 | |
1450 | 0x123456789123456789:0x123456789123456789 | |
1451 | +inf:inf | |
1452 | -inf:-inf | |
1453 | NaNas_hex:NaN | |
1454 | &as_bin | |
1455 | 128:0b10000000 | |
1456 | -128:-0b10000000 | |
1457 | 0:0b0 | |
1458 | -0:0b0 | |
1459 | 1:0b1 | |
1460 | 0b1010111101010101010110110110110110101:0b1010111101010101010110110110110110101 | |
1461 | +inf:inf | |
1462 | -inf:-inf | |
1463 | NaNas_bin:NaN |