Commit | Line | Data |
6854fd01 |
1 | #include this file into another for subclass testing |
2 | |
3 | my $version = ${"$class\::VERSION"}; |
4 | |
5 | ############################################################################## |
6 | # for testing inheritance of _swap |
7 | |
8 | package Math::Foo; |
9 | |
10 | use Math::BigInt; |
11 | #use Math::BigInt lib => 'BitVect'; # for testing |
12 | use vars qw/@ISA/; |
13 | @ISA = (qw/Math::BigInt/); |
14 | |
15 | use overload |
16 | # customized overload for sub, since original does not use swap there |
17 | '-' => sub { my @a = ref($_[0])->_swap(@_); |
18 | $a[0]->bsub($a[1])}; |
19 | |
20 | sub _swap |
21 | { |
22 | # a fake _swap, which reverses the params |
23 | my $self = shift; # for override in subclass |
24 | if ($_[2]) |
25 | { |
26 | my $c = ref ($_[0] ) || 'Math::Foo'; |
27 | return ( $_[0]->copy(), $_[1] ); |
28 | } |
29 | else |
30 | { |
31 | return ( Math::Foo->new($_[1]), $_[0] ); |
32 | } |
33 | } |
34 | |
35 | ############################################################################## |
36 | package main; |
37 | |
38 | my $CALC = $class->_core_lib(); ok ($CALC,'Math::BigInt::Calc'); |
39 | |
40 | my ($f,$z,$a,$exp,@a,$m,$e,$round_mode); |
41 | |
42 | while (<DATA>) |
43 | { |
44 | chop; |
45 | next if /^#/; # skip comments |
46 | if (s/^&//) |
47 | { |
48 | $f = $_; |
49 | } |
50 | elsif (/^\$/) |
51 | { |
52 | $round_mode = $_; |
53 | $round_mode =~ s/^\$/$class\->/; |
54 | # print "$round_mode\n"; |
55 | } |
56 | else |
57 | { |
58 | @args = split(/:/,$_,99); |
59 | $ans = pop(@args); |
60 | $try = "\$x = $class->new(\"$args[0]\");"; |
61 | if ($f eq "bnorm"){ |
62 | $try = "\$x = $class->bnorm(\"$args[0]\");"; |
027dc388 |
63 | # some is_xxx tests |
64 | } elsif ($f =~ /^is_(zero|one|odd|even|negative|positive|nan)$/) { |
65 | $try .= "\$x->$f();"; |
6854fd01 |
66 | } elsif ($f eq "as_hex") { |
67 | $try .= '$x->as_hex();'; |
68 | } elsif ($f eq "as_bin") { |
69 | $try .= '$x->as_bin();'; |
70 | } elsif ($f eq "is_inf") { |
71 | $try .= "\$x->is_inf('$args[1]');"; |
72 | } elsif ($f eq "binf") { |
73 | $try .= "\$x->binf('$args[1]');"; |
74 | } elsif ($f eq "bone") { |
75 | $try .= "\$x->bone('$args[1]');"; |
027dc388 |
76 | # some unary ops |
77 | } elsif ($f =~ /^b(nan|floor|ceil|sstr|neg|abs|inc|dec|not|sqrt)$/) { |
78 | $try .= "\$x->$f();"; |
6854fd01 |
79 | }elsif ($f eq "length") { |
80 | $try .= '$x->length();'; |
81 | }elsif ($f eq "exponent"){ |
82 | # ->bstr() to see if an object is returned |
83 | $try .= '$x = $x->exponent()->bstr();'; |
84 | }elsif ($f eq "mantissa"){ |
85 | # ->bstr() to see if an object is returned |
86 | $try .= '$x = $x->mantissa()->bstr();'; |
87 | }elsif ($f eq "parts"){ |
88 | $try .= '($m,$e) = $x->parts();'; |
89 | # ->bstr() to see if an object is returned |
90 | $try .= '$m = $m->bstr(); $m = "NaN" if !defined $m;'; |
91 | $try .= '$e = $e->bstr(); $e = "NaN" if !defined $e;'; |
92 | $try .= '"$m,$e";'; |
93 | } else { |
94 | $try .= "\$y = $class->new('$args[1]');"; |
95 | if ($f eq "bcmp"){ |
96 | $try .= '$x <=> $y;'; |
97 | }elsif ($f eq "bround") { |
98 | $try .= "$round_mode; \$x->bround(\$y);"; |
99 | }elsif ($f eq "bacmp"){ |
100 | $try .= '$x->bacmp($y);'; |
101 | }elsif ($f eq "badd"){ |
102 | $try .= '$x + $y;'; |
103 | }elsif ($f eq "bsub"){ |
104 | $try .= '$x - $y;'; |
105 | }elsif ($f eq "bmul"){ |
106 | $try .= '$x * $y;'; |
107 | }elsif ($f eq "bdiv"){ |
108 | $try .= '$x / $y;'; |
109 | }elsif ($f eq "bdiv-list"){ |
110 | $try .= 'join (",",$x->bdiv($y));'; |
027dc388 |
111 | # overload via x= |
112 | }elsif ($f =~ /^.=$/){ |
113 | $try .= "\$x $f \$y;"; |
114 | # overload via x |
115 | }elsif ($f =~ /^.$/){ |
116 | $try .= "\$x $f \$y;"; |
6854fd01 |
117 | }elsif ($f eq "bmod"){ |
118 | $try .= '$x % $y;'; |
119 | }elsif ($f eq "bgcd") |
120 | { |
121 | if (defined $args[2]) |
122 | { |
123 | $try .= " \$z = $class->new(\"$args[2]\"); "; |
124 | } |
125 | $try .= "$class\::bgcd(\$x, \$y"; |
126 | $try .= ", \$z" if (defined $args[2]); |
127 | $try .= " );"; |
128 | } |
129 | elsif ($f eq "blcm") |
130 | { |
131 | if (defined $args[2]) |
132 | { |
133 | $try .= " \$z = $class->new(\"$args[2]\"); "; |
134 | } |
135 | $try .= "$class\::blcm(\$x, \$y"; |
136 | $try .= ", \$z" if (defined $args[2]); |
137 | $try .= " );"; |
138 | }elsif ($f eq "blsft"){ |
139 | if (defined $args[2]) |
140 | { |
141 | $try .= "\$x->blsft(\$y,$args[2]);"; |
142 | } |
143 | else |
144 | { |
145 | $try .= "\$x << \$y;"; |
146 | } |
147 | }elsif ($f eq "brsft"){ |
148 | if (defined $args[2]) |
149 | { |
150 | $try .= "\$x->brsft(\$y,$args[2]);"; |
151 | } |
152 | else |
153 | { |
154 | $try .= "\$x >> \$y;"; |
155 | } |
156 | }elsif ($f eq "band"){ |
157 | $try .= "\$x & \$y;"; |
158 | }elsif ($f eq "bior"){ |
159 | $try .= "\$x | \$y;"; |
160 | }elsif ($f eq "bxor"){ |
161 | $try .= "\$x ^ \$y;"; |
162 | }elsif ($f eq "bpow"){ |
163 | $try .= "\$x ** \$y;"; |
164 | }elsif ($f eq "digit"){ |
165 | $try = "\$x = $class->new(\"$args[0]\"); \$x->digit($args[1]);"; |
166 | } else { warn "Unknown op '$f'"; } |
167 | } |
168 | # print "trying $try\n"; |
169 | $ans1 = eval $try; |
170 | $ans =~ s/^[+]([0-9])/$1/; # remove leading '+' |
171 | if ($ans eq "") |
172 | { |
173 | ok_undef ($ans1); |
174 | } |
175 | else |
176 | { |
177 | # print "try: $try ans: $ans1 $ans\n"; |
178 | print "# Tried: '$try'\n" if !ok ($ans1, $ans); |
179 | } |
180 | # check internal state of number objects |
181 | is_valid($ans1,$f) if ref $ans1; |
182 | } |
183 | } # endwhile data tests |
184 | close DATA; |
185 | |
186 | # test some more |
187 | @a = (); |
188 | for (my $i = 1; $i < 10; $i++) |
189 | { |
190 | push @a, $i; |
191 | } |
192 | ok "@a", "1 2 3 4 5 6 7 8 9"; |
193 | |
194 | # test whether self-multiplication works correctly (result is 2**64) |
195 | $try = "\$x = $class->new('4294967296');"; |
196 | $try .= '$a = $x->bmul($x);'; |
197 | $ans1 = eval $try; |
198 | print "# Tried: '$try'\n" if !ok ($ans1, $class->new(2) ** 64); |
199 | # test self-pow |
200 | $try = "\$x = $class->new(10);"; |
201 | $try .= '$a = $x->bpow($x);'; |
202 | $ans1 = eval $try; |
203 | print "# Tried: '$try'\n" if !ok ($ans1, $class->new(10) ** 10); |
204 | |
205 | # test whether op destroys args or not (should better not) |
206 | |
207 | $x = $class->new(3); |
208 | $y = $class->new(4); |
209 | $z = $x & $y; |
210 | ok ($x,3); |
211 | ok ($y,4); |
212 | ok ($z,0); |
213 | $z = $x | $y; |
214 | ok ($x,3); |
215 | ok ($y,4); |
216 | ok ($z,7); |
217 | $x = $class->new(1); |
218 | $y = $class->new(2); |
219 | $z = $x | $y; |
220 | ok ($x,1); |
221 | ok ($y,2); |
222 | ok ($z,3); |
223 | |
224 | $x = $class->new(5); |
225 | $y = $class->new(4); |
226 | $z = $x ^ $y; |
227 | ok ($x,5); |
228 | ok ($y,4); |
229 | ok ($z,1); |
230 | |
231 | $x = $class->new(-5); $y = -$x; |
232 | ok ($x, -5); |
233 | |
234 | $x = $class->new(-5); $y = abs($x); |
235 | ok ($x, -5); |
236 | |
237 | # check whether overloading cmp works |
238 | $try = "\$x = $class->new(0);"; |
239 | $try .= "\$y = 10;"; |
240 | $try .= "'false' if \$x ne \$y;"; |
241 | $ans = eval $try; |
242 | print "# For '$try'\n" if (!ok "$ans" , "false" ); |
243 | |
244 | # we cant test for working cmpt with other objects here, we would need a dummy |
245 | # object with stringify overload for this. see Math::String tests as example |
246 | |
247 | ############################################################################### |
6854fd01 |
248 | # check reversed order of arguments |
027dc388 |
249 | |
6854fd01 |
250 | $try = "\$x = $class->new(10); \$x = 2 ** \$x;"; |
251 | $try .= "'ok' if \$x == 1024;"; $ans = eval $try; |
252 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
253 | |
254 | $try = "\$x = $class->new(10); \$x = 2 * \$x;"; |
255 | $try .= "'ok' if \$x == 20;"; $ans = eval $try; |
256 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
257 | |
258 | $try = "\$x = $class->new(10); \$x = 2 + \$x;"; |
259 | $try .= "'ok' if \$x == 12;"; $ans = eval $try; |
260 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
261 | |
262 | $try = "\$x = $class\->new(10); \$x = 2 - \$x;"; |
263 | $try .= "'ok' if \$x == -8;"; $ans = eval $try; |
264 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
265 | |
266 | $try = "\$x = $class\->new(10); \$x = 20 / \$x;"; |
267 | $try .= "'ok' if \$x == 2;"; $ans = eval $try; |
268 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
269 | |
027dc388 |
270 | $try = "\$x = $class\->new(3); \$x = 20 % \$x;"; |
271 | $try .= "'ok' if \$x == 2;"; $ans = eval $try; |
272 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
273 | |
274 | $try = "\$x = $class\->new(7); \$x = 20 & \$x;"; |
275 | $try .= "'ok' if \$x == 4;"; $ans = eval $try; |
276 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
277 | |
278 | $try = "\$x = $class\->new(7); \$x = 0x20 | \$x;"; |
279 | $try .= "'ok' if \$x == 0x27;"; $ans = eval $try; |
280 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
281 | |
282 | $try = "\$x = $class\->new(7); \$x = 0x20 ^ \$x;"; |
283 | $try .= "'ok' if \$x == 0x27;"; $ans = eval $try; |
284 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
285 | |
6854fd01 |
286 | ############################################################################### |
287 | # check badd(4,5) form |
288 | |
289 | $try = "\$x = $class\->badd(4,5);"; |
290 | $try .= "'ok' if \$x == 9;"; |
291 | $ans = eval $try; |
292 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
293 | |
294 | ############################################################################### |
295 | # check undefs: NOT DONE YET |
296 | |
297 | ############################################################################### |
298 | # bool |
299 | |
300 | $x = Math::BigInt->new(1); if ($x) { ok (1,1); } else { ok($x,'to be true') } |
301 | $x = Math::BigInt->new(0); if (!$x) { ok (1,1); } else { ok($x,'to be false') } |
302 | |
303 | ############################################################################### |
304 | # objectify() |
305 | |
306 | @args = Math::BigInt::objectify(2,4,5); |
307 | ok (scalar @args,3); # $class, 4, 5 |
308 | ok ($args[0],$class); |
309 | ok ($args[1],4); |
310 | ok ($args[2],5); |
311 | |
312 | @args = Math::BigInt::objectify(0,4,5); |
313 | ok (scalar @args,3); # $class, 4, 5 |
314 | ok ($args[0],$class); |
315 | ok ($args[1],4); |
316 | ok ($args[2],5); |
317 | |
318 | @args = Math::BigInt::objectify(2,4,5); |
319 | ok (scalar @args,3); # $class, 4, 5 |
320 | ok ($args[0],$class); |
321 | ok ($args[1],4); |
322 | ok ($args[2],5); |
323 | |
324 | @args = Math::BigInt::objectify(2,4,5,6,7); |
325 | ok (scalar @args,5); # $class, 4, 5, 6, 7 |
326 | ok ($args[0],$class); |
327 | ok ($args[1],4); ok (ref($args[1]),$args[0]); |
328 | ok ($args[2],5); ok (ref($args[2]),$args[0]); |
329 | ok ($args[3],6); ok (ref($args[3]),''); |
330 | ok ($args[4],7); ok (ref($args[4]),''); |
331 | |
332 | @args = Math::BigInt::objectify(2,$class,4,5,6,7); |
333 | ok (scalar @args,5); # $class, 4, 5, 6, 7 |
334 | ok ($args[0],$class); |
335 | ok ($args[1],4); ok (ref($args[1]),$args[0]); |
336 | ok ($args[2],5); ok (ref($args[2]),$args[0]); |
337 | ok ($args[3],6); ok (ref($args[3]),''); |
338 | ok ($args[4],7); ok (ref($args[4]),''); |
339 | |
340 | ############################################################################### |
341 | # test for floating-point input (other tests in bnorm() below) |
342 | |
343 | $z = 1050000000000000; # may be int on systems with 64bit? |
344 | $x = $class->new($z); ok ($x->bsstr(),'105e+13'); # not 1.05e+15 |
345 | $z = 1e+129; # definitely a float (may fail on UTS) |
346 | # don't compare to $z, since some Perl versions stringify $z into something |
347 | # like '1.e+129' or something equally ugly |
348 | $x = $class->new($z); ok ($x->bsstr(),'1e+129'); |
349 | |
350 | ############################################################################### |
351 | # prime number tests, also test for **= and length() |
352 | # found on: http://www.utm.edu/research/primes/notes/by_year.html |
353 | |
354 | # ((2^148)-1)/17 |
355 | $x = $class->new(2); $x **= 148; $x++; $x = $x / 17; |
356 | ok ($x,"20988936657440586486151264256610222593863921"); |
357 | ok ($x->length(),length "20988936657440586486151264256610222593863921"); |
358 | |
359 | # MM7 = 2^127-1 |
360 | $x = $class->new(2); $x **= 127; $x--; |
361 | ok ($x,"170141183460469231731687303715884105727"); |
362 | |
363 | $x = $class->new('215960156869840440586892398248'); |
364 | ($x,$y) = $x->length(); |
365 | ok ($x,30); ok ($y,0); |
366 | |
367 | $x = $class->new('1_000_000_000_000'); |
368 | ($x,$y) = $x->length(); |
369 | ok ($x,13); ok ($y,0); |
370 | |
371 | # I am afraid the following is not yet possible due to slowness |
372 | # Also, testing for 2 meg output is a bit hard ;) |
373 | #$x = $class->new(2); $x **= 6972593; $x--; |
374 | |
375 | # 593573509*2^332162+1 has exactly 1,000,000 digits |
376 | # takes about 24 mins on 300 Mhz, so cannot be done yet ;) |
377 | #$x = $class->new(2); $x **= 332162; $x *= "593573509"; $x++; |
378 | #ok ($x->length(),1_000_000); |
379 | |
380 | ############################################################################### |
381 | # inheritance and overriding of _swap |
382 | |
383 | $x = Math::Foo->new(5); |
384 | $x = $x - 8; # 8 - 5 instead of 5-8 |
385 | ok ($x,3); |
386 | ok (ref($x),'Math::Foo'); |
387 | |
388 | $x = Math::Foo->new(5); |
389 | $x = 8 - $x; # 5 - 8 instead of 8 - 5 |
390 | ok ($x,-3); |
391 | ok (ref($x),'Math::Foo'); |
392 | |
393 | ############################################################################### |
394 | # Test whether +inf eq inf |
395 | # This tried to test whether BigInt inf equals Perl inf. Unfortunately, Perl |
396 | # hasn't (before 5.7.3 at least) a consistent way to say inf, and some things |
397 | # like 1e100000 crash on some platforms. So simple test for the string 'inf' |
398 | $x = $class->new('+inf'); ok ($x,'inf'); |
399 | |
400 | ############################################################################### |
401 | ############################################################################### |
402 | # the followin tests only make sense with Math::BigInt::Calc |
403 | |
404 | exit if $CALC ne 'Math::BigInt::Calc'; # for Pari et al. |
405 | |
406 | ############################################################################### |
407 | # check proper length of internal arrays |
408 | |
409 | my $bl = Math::BigInt::Calc::_base_len(); |
410 | my $BASE = '9' x $bl; |
411 | my $MAX = $BASE; |
412 | $BASE++; |
413 | |
414 | $x = $class->new($MAX); is_valid($x); # f.i. 9999 |
415 | $x += 1; ok ($x,$BASE); is_valid($x); # 10000 |
416 | $x -= 1; ok ($x,$MAX); is_valid($x); # 9999 again |
417 | |
418 | ############################################################################### |
419 | # check numify |
420 | |
421 | $x = $class->new($BASE-1); ok ($x->numify(),$BASE-1); |
422 | $x = $class->new(-($BASE-1)); ok ($x->numify(),-($BASE-1)); |
423 | $x = $class->new($BASE); ok ($x->numify(),$BASE); |
424 | $x = $class->new(-$BASE); ok ($x->numify(),-$BASE); |
425 | $x = $class->new( -($BASE*$BASE*1+$BASE*1+1) ); |
426 | ok($x->numify(),-($BASE*$BASE*1+$BASE*1+1)); |
427 | |
428 | ############################################################################### |
429 | # test bug in _digits with length($c[-1]) where $c[-1] was "00001" instead of 1 |
430 | |
431 | $x = Math::BigInt->new(99998); $x++; $x++; $x++; $x++; |
432 | if ($x > 100000) { ok (1,1) } else { ok ("$x < 100000","$x > 100000"); } |
433 | |
434 | $x = Math::BigInt->new(100003); $x++; |
435 | $y = Math::BigInt->new(1000000); |
436 | if ($x < 1000000) { ok (1,1) } else { ok ("$x > 1000000","$x < 1000000"); } |
437 | |
438 | ############################################################################### |
439 | # bug in sub where number with at least 6 trailing zeros after any op failed |
440 | |
441 | $x = Math::BigInt->new(123456); $z = Math::BigInt->new(10000); $z *= 10; |
442 | $x -= $z; |
443 | ok ($z, 100000); |
444 | ok ($x, 23456); |
445 | |
446 | ############################################################################### |
447 | # bug in shortcut in mul() |
448 | |
449 | # construct a number with a zero-hole of BASE_LEN |
450 | $x = '1' x $bl . '0' x $bl . '1' x $bl . '0' x $bl; |
451 | $y = '1' x (2*$bl); |
6854fd01 |
452 | $x = Math::BigInt->new($x)->bmul($y); |
453 | # result is 123..$bl . $bl x (3*bl-1) . $bl...321 . '0' x $bl |
454 | $y = ''; my $d = ''; |
455 | for (my $i = 1; $i <= $bl; $i++) |
456 | { |
457 | $y .= $i; $d = $i.$d; |
458 | } |
6854fd01 |
459 | $y .= $bl x (3*$bl-1) . $d . '0' x $bl; |
460 | ok ($x,$y); |
461 | |
462 | ############################################################################### |
463 | # bug with rest "-0" in div, causing further div()s to fail |
464 | |
465 | $x = Math::BigInt->new('-322056000'); ($x,$y) = $x->bdiv('-12882240'); |
466 | |
467 | ok ($y,'0','not -0'); # not '-0' |
468 | is_valid($y); |
469 | |
470 | ### all tests done ############################################################ |
471 | |
472 | 1; |
473 | |
474 | ############################################################################### |
475 | # Perl 5.005 does not like ok ($x,undef) |
476 | |
477 | sub ok_undef |
478 | { |
479 | my $x = shift; |
480 | |
481 | ok (1,1) and return if !defined $x; |
482 | ok ($x,'undef'); |
483 | } |
484 | |
485 | ############################################################################### |
486 | # sub to check validity of a BigInt internally, to ensure that no op leaves a |
487 | # number object in an invalid state (f.i. "-0") |
488 | |
489 | sub is_valid |
490 | { |
491 | my ($x,$f) = @_; |
492 | |
493 | my $e = 0; # error? |
494 | # ok as reference? |
495 | $e = 'Not a reference to Math::BigInt' if !ref($x); |
496 | |
497 | # has ok sign? |
498 | $e = "Illegal sign $x->{sign} (expected: '+', '-', '-inf', '+inf' or 'NaN'" |
499 | if $e eq '0' && $x->{sign} !~ /^(\+|-|\+inf|-inf|NaN)$/; |
500 | |
501 | $e = "-0 is invalid!" if $e ne '0' && $x->{sign} eq '-' && $x == 0; |
502 | $e = $CALC->_check($x->{value}) if $e eq '0'; |
503 | |
504 | # test done, see if error did crop up |
505 | ok (1,1), return if ($e eq '0'); |
506 | |
027dc388 |
507 | ok (1,$e." after op '$f'"); |
6854fd01 |
508 | } |
509 | |
510 | __DATA__ |
027dc388 |
511 | &.= |
512 | 1234:-345:1234-345 |
513 | &+= |
514 | 1:2:3 |
515 | -1:-2:-3 |
516 | &-= |
517 | 1:2:-1 |
518 | -1:-2:1 |
519 | &*= |
520 | 2:3:6 |
521 | -1:5:-5 |
522 | &%= |
523 | 100:3:1 |
524 | 8:9:8 |
525 | &/= |
526 | 100:3:33 |
527 | -8:2:-4 |
528 | &|= |
529 | 2:1:3 |
530 | &&= |
531 | 5:7:5 |
532 | &^= |
533 | 5:7:2 |
6854fd01 |
534 | &is_negative |
535 | 0:0 |
536 | -1:1 |
537 | 1:0 |
538 | +inf:0 |
539 | -inf:1 |
540 | NaNneg:0 |
541 | &is_positive |
542 | 0:1 |
543 | -1:0 |
544 | 1:1 |
545 | +inf:1 |
546 | -inf:0 |
547 | NaNneg:0 |
548 | &is_odd |
549 | abc:0 |
550 | 0:0 |
551 | 1:1 |
552 | 3:1 |
553 | -1:1 |
554 | -3:1 |
555 | 10000001:1 |
556 | 10000002:0 |
557 | 2:0 |
558 | &is_even |
559 | abc:0 |
560 | 0:1 |
561 | 1:0 |
562 | 3:0 |
563 | -1:0 |
564 | -3:0 |
565 | 10000001:0 |
566 | 10000002:1 |
567 | 2:1 |
568 | &bacmp |
569 | +0:-0:0 |
570 | +0:+1:-1 |
571 | -1:+1:0 |
572 | +1:-1:0 |
573 | -1:+2:-1 |
574 | +2:-1:1 |
575 | -123456789:+987654321:-1 |
576 | +123456789:-987654321:-1 |
577 | +987654321:+123456789:1 |
578 | -987654321:+123456789:1 |
579 | -123:+4567889:-1 |
580 | # NaNs |
581 | acmpNaN:123: |
582 | 123:acmpNaN: |
583 | acmpNaN:acmpNaN: |
584 | # infinity |
585 | +inf:+inf:0 |
586 | -inf:-inf:0 |
587 | +inf:-inf:0 |
588 | -inf:+inf:0 |
589 | +inf:123:1 |
590 | -inf:123:1 |
591 | +inf:-123:1 |
592 | -inf:-123:1 |
593 | # return undef |
594 | +inf:NaN: |
595 | NaN:inf: |
596 | -inf:NaN: |
597 | NaN:-inf: |
598 | &bnorm |
599 | 123:123 |
600 | # binary input |
601 | 0babc:NaN |
602 | 0b123:NaN |
603 | 0b0:0 |
604 | -0b0:0 |
605 | -0b1:-1 |
606 | 0b0001:1 |
607 | 0b001:1 |
608 | 0b011:3 |
609 | 0b101:5 |
610 | 0b1000000000000000000000000000000:1073741824 |
611 | 0b_101:NaN |
612 | 0b1_0_1:5 |
613 | # hex input |
614 | -0x0:0 |
615 | 0xabcdefgh:NaN |
616 | 0x1234:4660 |
617 | 0xabcdef:11259375 |
618 | -0xABCDEF:-11259375 |
619 | -0x1234:-4660 |
620 | 0x12345678:305419896 |
621 | 0x1_2_3_4_56_78:305419896 |
622 | 0x_123:NaN |
623 | # inf input |
624 | inf:inf |
625 | +inf:inf |
626 | -inf:-inf |
627 | 0inf:NaN |
027dc388 |
628 | # abnormal input |
6854fd01 |
629 | :NaN |
630 | abc:NaN |
631 | 1 a:NaN |
632 | 1bcd2:NaN |
633 | 11111b:NaN |
634 | +1z:NaN |
635 | -1z:NaN |
027dc388 |
636 | # only one underscore between two digits |
637 | _123:NaN |
638 | _123_:NaN |
639 | 123_:NaN |
640 | 1__23:NaN |
641 | 1E1__2:NaN |
642 | 1_E12:NaN |
643 | 1E_12:NaN |
644 | 1_E_12:NaN |
645 | +_1E12:NaN |
646 | +0_1E2:100 |
647 | +0_0_1E2:100 |
648 | -0_0_1E2:-100 |
649 | -0_0_1E+0_0_2:-100 |
650 | E1:NaN |
651 | E23:NaN |
652 | 1.23E1:NaN |
653 | 1.23E-1:NaN |
654 | # bug with two E's in number beeing valid |
655 | 1e2e3:NaN |
656 | 1e2r:NaN |
657 | 1e2.0:NaN |
658 | # normal input |
6854fd01 |
659 | 0:0 |
660 | +0:0 |
661 | +00:0 |
662 | +000:0 |
663 | 000000000000000000:0 |
664 | -0:0 |
665 | -0000:0 |
666 | +1:1 |
667 | +01:1 |
668 | +001:1 |
669 | +00000100000:100000 |
670 | 123456789:123456789 |
671 | -1:-1 |
672 | -01:-1 |
673 | -001:-1 |
674 | -123456789:-123456789 |
675 | -00000100000:-100000 |
676 | 1_2_3:123 |
6854fd01 |
677 | 10000000000E-1_0:1 |
678 | 1E2:100 |
679 | 1E1:10 |
680 | 1E0:1 |
6854fd01 |
681 | 1.23E2:123 |
6854fd01 |
682 | 100E-1:10 |
683 | # floating point input |
027dc388 |
684 | # .2e2:20 |
685 | 1.E3:1000 |
6854fd01 |
686 | 1.01E2:101 |
687 | 1010E-1:101 |
688 | -1010E0:-1010 |
689 | -1010E1:-10100 |
027dc388 |
690 | 1234.00:1234 |
691 | # non-integer numbers |
6854fd01 |
692 | -1010E-2:NaN |
693 | -1.01E+1:NaN |
694 | -1.01E-1:NaN |
6854fd01 |
695 | &bnan |
696 | 1:NaN |
697 | 2:NaN |
698 | abc:NaN |
699 | &bone |
700 | 2:+:+1 |
701 | 2:-:-1 |
702 | boneNaN:-:-1 |
703 | boneNaN:+:+1 |
704 | 2:abc:+1 |
705 | 3::+1 |
706 | &binf |
707 | 1:+:inf |
708 | 2:-:-inf |
709 | 3:abc:inf |
027dc388 |
710 | &is_nan |
711 | 123:0 |
712 | abc:1 |
713 | NaN:1 |
714 | -123:0 |
6854fd01 |
715 | &is_inf |
716 | +inf::1 |
717 | -inf::1 |
718 | abc::0 |
719 | 1::0 |
720 | NaN::0 |
721 | -1::0 |
722 | +inf:-:0 |
723 | +inf:+:1 |
724 | -inf:-:1 |
725 | -inf:+:0 |
726 | # it must be exactly /^[+-]inf$/ |
727 | +infinity::0 |
728 | -infinity::0 |
729 | &blsft |
730 | abc:abc:NaN |
731 | +2:+2:+8 |
732 | +1:+32:+4294967296 |
733 | +1:+48:+281474976710656 |
734 | +8:-2:NaN |
735 | # excercise base 10 |
736 | +12345:4:10:123450000 |
737 | -1234:0:10:-1234 |
738 | +1234:0:10:+1234 |
739 | +2:2:10:200 |
740 | +12:2:10:1200 |
741 | +1234:-3:10:NaN |
742 | 1234567890123:12:10:1234567890123000000000000 |
743 | &brsft |
744 | abc:abc:NaN |
745 | +8:+2:+2 |
746 | +4294967296:+32:+1 |
747 | +281474976710656:+48:+1 |
748 | +2:-2:NaN |
749 | # excercise base 10 |
750 | -1234:0:10:-1234 |
751 | +1234:0:10:+1234 |
752 | +200:2:10:2 |
753 | +1234:3:10:1 |
754 | +1234:2:10:12 |
755 | +1234:-3:10:NaN |
756 | 310000:4:10:31 |
757 | 12300000:5:10:123 |
758 | 1230000000000:10:10:123 |
759 | 09876123456789067890:12:10:9876123 |
760 | 1234561234567890123:13:10:123456 |
761 | &bsstr |
762 | 1e+34:1e+34 |
763 | 123.456E3:123456e+0 |
764 | 100:1e+2 |
765 | abc:NaN |
766 | &bneg |
767 | bnegNaN:NaN |
768 | +inf:-inf |
769 | -inf:inf |
770 | abd:NaN |
771 | +0:+0 |
772 | +1:-1 |
773 | -1:+1 |
774 | +123456789:-123456789 |
775 | -123456789:+123456789 |
776 | &babs |
777 | babsNaN:NaN |
778 | +inf:inf |
779 | -inf:inf |
780 | +0:+0 |
781 | +1:+1 |
782 | -1:+1 |
783 | +123456789:+123456789 |
784 | -123456789:+123456789 |
785 | &bcmp |
786 | bcmpNaN:bcmpNaN: |
787 | bcmpNaN:+0: |
788 | +0:bcmpNaN: |
789 | +0:+0:0 |
790 | -1:+0:-1 |
791 | +0:-1:1 |
792 | +1:+0:1 |
793 | +0:+1:-1 |
794 | -1:+1:-1 |
795 | +1:-1:1 |
796 | -1:-1:0 |
797 | +1:+1:0 |
798 | +123:+123:0 |
799 | +123:+12:1 |
800 | +12:+123:-1 |
801 | -123:-123:0 |
802 | -123:-12:-1 |
803 | -12:-123:1 |
804 | +123:+124:-1 |
805 | +124:+123:1 |
806 | -123:-124:1 |
807 | -124:-123:-1 |
808 | +100:+5:1 |
809 | -123456789:+987654321:-1 |
810 | +123456789:-987654321:1 |
811 | -987654321:+123456789:-1 |
812 | -inf:5432112345:-1 |
813 | +inf:5432112345:1 |
814 | -inf:-5432112345:-1 |
815 | +inf:-5432112345:1 |
816 | +inf:+inf:0 |
817 | -inf:-inf:0 |
818 | +inf:-inf:1 |
819 | -inf:+inf:-1 |
820 | 5:inf:-1 |
821 | 5:inf:-1 |
822 | -5:-inf:1 |
823 | -5:-inf:1 |
824 | # return undef |
825 | +inf:NaN: |
826 | NaN:inf: |
827 | -inf:NaN: |
828 | NaN:-inf: |
829 | &binc |
830 | abc:NaN |
831 | +inf:inf |
832 | -inf:-inf |
833 | +0:+1 |
834 | +1:+2 |
835 | -1:+0 |
836 | &bdec |
837 | abc:NaN |
838 | +inf:inf |
839 | -inf:-inf |
840 | +0:-1 |
841 | +1:+0 |
842 | -1:-2 |
843 | &badd |
844 | abc:abc:NaN |
845 | abc:+0:NaN |
846 | +0:abc:NaN |
847 | +inf:-inf:0 |
848 | -inf:+inf:0 |
849 | +inf:+inf:inf |
850 | -inf:-inf:-inf |
851 | baddNaN:+inf:NaN |
852 | baddNaN:+inf:NaN |
853 | +inf:baddNaN:NaN |
854 | -inf:baddNaN:NaN |
855 | +0:+0:+0 |
856 | +1:+0:+1 |
857 | +0:+1:+1 |
858 | +1:+1:+2 |
859 | -1:+0:-1 |
860 | +0:-1:-1 |
861 | -1:-1:-2 |
862 | -1:+1:+0 |
863 | +1:-1:+0 |
864 | +9:+1:+10 |
865 | +99:+1:+100 |
866 | +999:+1:+1000 |
867 | +9999:+1:+10000 |
868 | +99999:+1:+100000 |
869 | +999999:+1:+1000000 |
870 | +9999999:+1:+10000000 |
871 | +99999999:+1:+100000000 |
872 | +999999999:+1:+1000000000 |
873 | +9999999999:+1:+10000000000 |
874 | +99999999999:+1:+100000000000 |
875 | +10:-1:+9 |
876 | +100:-1:+99 |
877 | +1000:-1:+999 |
878 | +10000:-1:+9999 |
879 | +100000:-1:+99999 |
880 | +1000000:-1:+999999 |
881 | +10000000:-1:+9999999 |
882 | +100000000:-1:+99999999 |
883 | +1000000000:-1:+999999999 |
884 | +10000000000:-1:+9999999999 |
885 | +123456789:+987654321:+1111111110 |
886 | -123456789:+987654321:+864197532 |
887 | -123456789:-987654321:-1111111110 |
888 | +123456789:-987654321:-864197532 |
889 | &bsub |
890 | abc:abc:NaN |
891 | abc:+0:NaN |
892 | +0:abc:NaN |
893 | +inf:-inf:inf |
894 | -inf:+inf:-inf |
895 | +inf:+inf:0 |
896 | -inf:-inf:0 |
897 | +0:+0:+0 |
898 | +1:+0:+1 |
899 | +0:+1:-1 |
900 | +1:+1:+0 |
901 | -1:+0:-1 |
902 | +0:-1:+1 |
903 | -1:-1:+0 |
904 | -1:+1:-2 |
905 | +1:-1:+2 |
906 | +9:+1:+8 |
907 | +99:+1:+98 |
908 | +999:+1:+998 |
909 | +9999:+1:+9998 |
910 | +99999:+1:+99998 |
911 | +999999:+1:+999998 |
912 | +9999999:+1:+9999998 |
913 | +99999999:+1:+99999998 |
914 | +999999999:+1:+999999998 |
915 | +9999999999:+1:+9999999998 |
916 | +99999999999:+1:+99999999998 |
917 | +10:-1:+11 |
918 | +100:-1:+101 |
919 | +1000:-1:+1001 |
920 | +10000:-1:+10001 |
921 | +100000:-1:+100001 |
922 | +1000000:-1:+1000001 |
923 | +10000000:-1:+10000001 |
924 | +100000000:-1:+100000001 |
925 | +1000000000:-1:+1000000001 |
926 | +10000000000:-1:+10000000001 |
927 | +123456789:+987654321:-864197532 |
928 | -123456789:+987654321:-1111111110 |
929 | -123456789:-987654321:+864197532 |
930 | +123456789:-987654321:+1111111110 |
931 | &bmul |
932 | abc:abc:NaN |
933 | abc:+0:NaN |
934 | +0:abc:NaN |
935 | NaNmul:+inf:NaN |
936 | NaNmul:-inf:NaN |
937 | -inf:NaNmul:NaN |
938 | +inf:NaNmul:NaN |
939 | +inf:+inf:inf |
940 | +inf:-inf:-inf |
941 | -inf:+inf:-inf |
942 | -inf:-inf:inf |
943 | +0:+0:+0 |
944 | +0:+1:+0 |
945 | +1:+0:+0 |
946 | +0:-1:+0 |
947 | -1:+0:+0 |
948 | +123456789123456789:+0:+0 |
949 | +0:+123456789123456789:+0 |
950 | -1:-1:+1 |
951 | -1:+1:-1 |
952 | +1:-1:-1 |
953 | +1:+1:+1 |
954 | +2:+3:+6 |
955 | -2:+3:-6 |
956 | +2:-3:-6 |
957 | -2:-3:+6 |
958 | +111:+111:+12321 |
959 | +10101:+10101:+102030201 |
960 | +1001001:+1001001:+1002003002001 |
961 | +100010001:+100010001:+10002000300020001 |
962 | +10000100001:+10000100001:+100002000030000200001 |
963 | +11111111111:+9:+99999999999 |
964 | +22222222222:+9:+199999999998 |
965 | +33333333333:+9:+299999999997 |
966 | +44444444444:+9:+399999999996 |
967 | +55555555555:+9:+499999999995 |
968 | +66666666666:+9:+599999999994 |
969 | +77777777777:+9:+699999999993 |
970 | +88888888888:+9:+799999999992 |
971 | +99999999999:+9:+899999999991 |
972 | +25:+25:+625 |
973 | +12345:+12345:+152399025 |
974 | +99999:+11111:+1111088889 |
975 | 9999:10000:99990000 |
976 | 99999:100000:9999900000 |
977 | 999999:1000000:999999000000 |
978 | 9999999:10000000:99999990000000 |
979 | 99999999:100000000:9999999900000000 |
980 | 999999999:1000000000:999999999000000000 |
981 | 9999999999:10000000000:99999999990000000000 |
982 | 99999999999:100000000000:9999999999900000000000 |
983 | 999999999999:1000000000000:999999999999000000000000 |
984 | 9999999999999:10000000000000:99999999999990000000000000 |
985 | 99999999999999:100000000000000:9999999999999900000000000000 |
986 | 999999999999999:1000000000000000:999999999999999000000000000000 |
987 | 9999999999999999:10000000000000000:99999999999999990000000000000000 |
988 | 99999999999999999:100000000000000000:9999999999999999900000000000000000 |
989 | 999999999999999999:1000000000000000000:999999999999999999000000000000000000 |
990 | 9999999999999999999:10000000000000000000:99999999999999999990000000000000000000 |
991 | &bdiv-list |
992 | 100:20:5,0 |
993 | 4095:4095:1,0 |
994 | -4095:-4095:1,0 |
995 | 4095:-4095:-1,0 |
996 | -4095:4095:-1,0 |
997 | 123:2:61,1 |
998 | # inf handling and general remainder |
999 | 5:8:0,5 |
1000 | 0:8:0,0 |
1001 | 11:2:5,1 |
1002 | 11:-2:-5,-1 |
1003 | -11:2:-5,1 |
1004 | # see table in documentation in MBI |
1005 | 0:inf:0,0 |
1006 | 0:-inf:0,0 |
1007 | 5:inf:0,5 |
1008 | 5:-inf:0,5 |
1009 | -5:inf:0,-5 |
1010 | -5:-inf:0,-5 |
1011 | inf:5:inf,0 |
1012 | -inf:5:-inf,0 |
1013 | inf:-5:-inf,0 |
1014 | -inf:-5:inf,0 |
1015 | 5:5:1,0 |
1016 | -5:-5:1,0 |
1017 | inf:inf:1,0 |
1018 | -inf:-inf:1,0 |
1019 | -inf:inf:-1,0 |
1020 | inf:-inf:-1,0 |
1021 | 8:0:inf,8 |
1022 | inf:0:inf,inf |
1023 | # exceptions to reminder rule |
1024 | -8:0:-inf,-8 |
1025 | -inf:0:-inf,-inf |
1026 | 0:0:NaN,NaN |
1027 | &bdiv |
1028 | abc:abc:NaN |
1029 | abc:+1:NaN |
1030 | +1:abc:NaN |
1031 | +0:+0:NaN |
1032 | # inf handling (see table in doc) |
1033 | 0:inf:0 |
1034 | 0:-inf:0 |
1035 | 5:inf:0 |
1036 | 5:-inf:0 |
1037 | -5:inf:0 |
1038 | -5:-inf:0 |
1039 | inf:5:inf |
1040 | -inf:5:-inf |
1041 | inf:-5:-inf |
1042 | -inf:-5:inf |
1043 | 5:5:1 |
1044 | -5:-5:1 |
1045 | inf:inf:1 |
1046 | -inf:-inf:1 |
1047 | -inf:inf:-1 |
1048 | inf:-inf:-1 |
1049 | 8:0:inf |
1050 | inf:0:inf |
1051 | -8:0:-inf |
1052 | -inf:0:-inf |
1053 | 0:0:NaN |
1054 | 11:2:5 |
1055 | -11:-2:5 |
1056 | -11:2:-5 |
1057 | 11:-2:-5 |
1058 | +0:+1:+0 |
1059 | +0:-1:+0 |
1060 | +1:+1:+1 |
1061 | -1:-1:+1 |
1062 | +1:-1:-1 |
1063 | -1:+1:-1 |
1064 | +1:+2:+0 |
1065 | +2:+1:+2 |
1066 | +1:+26:+0 |
1067 | +1000000000:+9:+111111111 |
1068 | +2000000000:+9:+222222222 |
1069 | +3000000000:+9:+333333333 |
1070 | +4000000000:+9:+444444444 |
1071 | +5000000000:+9:+555555555 |
1072 | +6000000000:+9:+666666666 |
1073 | +7000000000:+9:+777777777 |
1074 | +8000000000:+9:+888888888 |
1075 | +9000000000:+9:+1000000000 |
1076 | +35500000:+113:+314159 |
1077 | +71000000:+226:+314159 |
1078 | +106500000:+339:+314159 |
1079 | +1000000000:+3:+333333333 |
1080 | +10:+5:+2 |
1081 | +100:+4:+25 |
1082 | +1000:+8:+125 |
1083 | +10000:+16:+625 |
1084 | +999999999999:+9:+111111111111 |
1085 | +999999999999:+99:+10101010101 |
1086 | +999999999999:+999:+1001001001 |
1087 | +999999999999:+9999:+100010001 |
1088 | +999999999999999:+99999:+10000100001 |
1089 | +1111088889:+99999:+11111 |
1090 | -5:-3:1 |
1091 | -5:3:-1 |
1092 | 4:3:1 |
1093 | 4:-3:-1 |
1094 | 1:3:0 |
1095 | 1:-3:0 |
1096 | -2:-3:0 |
1097 | -2:3:0 |
1098 | 8:3:2 |
1099 | -8:3:-2 |
1100 | 14:-3:-4 |
1101 | -14:3:-4 |
1102 | -14:-3:4 |
1103 | 14:3:4 |
1104 | # bug in Calc with '99999' vs $BASE-1 |
1105 | 10000000000000000000000000000000000000000000000000000000000000000000000000000000000:10000000375084540248994272022843165711074:999999962491547381984643365663244474111576 |
1106 | &bmod |
1107 | # inf handling, see table in doc |
1108 | 0:inf:0 |
1109 | 0:-inf:0 |
1110 | 5:inf:5 |
1111 | 5:-inf:5 |
1112 | -5:inf:-5 |
1113 | -5:-inf:-5 |
1114 | inf:5:0 |
1115 | -inf:5:0 |
1116 | inf:-5:0 |
1117 | -inf:-5:0 |
1118 | 5:5:0 |
1119 | -5:-5:0 |
1120 | inf:inf:0 |
1121 | -inf:-inf:0 |
1122 | -inf:inf:0 |
1123 | inf:-inf:0 |
1124 | 8:0:8 |
1125 | inf:0:inf |
1126 | # exceptions to reminder rule |
1127 | -inf:0:-inf |
1128 | -8:0:-8 |
1129 | 0:0:NaN |
1130 | abc:abc:NaN |
1131 | abc:+1:abc:NaN |
1132 | +1:abc:NaN |
1133 | +0:+0:NaN |
1134 | +0:+1:+0 |
1135 | +1:+0:+1 |
1136 | +0:-1:+0 |
1137 | -1:+0:-1 |
1138 | +1:+1:+0 |
1139 | -1:-1:+0 |
1140 | +1:-1:+0 |
1141 | -1:+1:+0 |
1142 | +1:+2:+1 |
1143 | +2:+1:+0 |
1144 | +1000000000:+9:+1 |
1145 | +2000000000:+9:+2 |
1146 | +3000000000:+9:+3 |
1147 | +4000000000:+9:+4 |
1148 | +5000000000:+9:+5 |
1149 | +6000000000:+9:+6 |
1150 | +7000000000:+9:+7 |
1151 | +8000000000:+9:+8 |
1152 | +9000000000:+9:+0 |
1153 | +35500000:+113:+33 |
1154 | +71000000:+226:+66 |
1155 | +106500000:+339:+99 |
1156 | +1000000000:+3:+1 |
1157 | +10:+5:+0 |
1158 | +100:+4:+0 |
1159 | +1000:+8:+0 |
1160 | +10000:+16:+0 |
1161 | +999999999999:+9:+0 |
1162 | +999999999999:+99:+0 |
1163 | +999999999999:+999:+0 |
1164 | +999999999999:+9999:+0 |
1165 | +999999999999999:+99999:+0 |
1166 | -9:+5:+1 |
1167 | +9:-5:-1 |
1168 | -9:-5:-4 |
1169 | -5:3:1 |
1170 | -2:3:1 |
1171 | 4:3:1 |
1172 | 1:3:1 |
1173 | -5:-3:-2 |
1174 | -2:-3:-2 |
1175 | 4:-3:-2 |
1176 | 1:-3:-2 |
1177 | 4095:4095:0 |
027dc388 |
1178 | 100041000510123:3:0 |
1179 | 152403346:12345:4321 |
6854fd01 |
1180 | &bgcd |
1181 | abc:abc:NaN |
1182 | abc:+0:NaN |
1183 | +0:abc:NaN |
1184 | +0:+0:+0 |
1185 | +0:+1:+1 |
1186 | +1:+0:+1 |
1187 | +1:+1:+1 |
1188 | +2:+3:+1 |
1189 | +3:+2:+1 |
1190 | -3:+2:+1 |
1191 | +100:+625:+25 |
1192 | +4096:+81:+1 |
1193 | +1034:+804:+2 |
1194 | +27:+90:+56:+1 |
1195 | +27:+90:+54:+9 |
1196 | &blcm |
1197 | abc:abc:NaN |
1198 | abc:+0:NaN |
1199 | +0:abc:NaN |
1200 | +0:+0:NaN |
1201 | +1:+0:+0 |
1202 | +0:+1:+0 |
1203 | +27:+90:+270 |
1204 | +1034:+804:+415668 |
1205 | &band |
1206 | abc:abc:NaN |
1207 | abc:0:NaN |
1208 | 0:abc:NaN |
1209 | 1:2:0 |
1210 | 3:2:2 |
1211 | +8:+2:+0 |
1212 | +281474976710656:+0:+0 |
1213 | +281474976710656:+1:+0 |
1214 | +281474976710656:+281474976710656:+281474976710656 |
1215 | -2:-3:-4 |
1216 | -1:-1:-1 |
1217 | -6:-6:-6 |
1218 | -7:-4:-8 |
1219 | -7:4:0 |
1220 | -4:7:4 |
1221 | &bior |
1222 | abc:abc:NaN |
1223 | abc:0:NaN |
1224 | 0:abc:NaN |
1225 | 1:2:3 |
1226 | +8:+2:+10 |
1227 | +281474976710656:+0:+281474976710656 |
1228 | +281474976710656:+1:+281474976710657 |
1229 | +281474976710656:+281474976710656:+281474976710656 |
1230 | -2:-3:-1 |
1231 | -1:-1:-1 |
1232 | -6:-6:-6 |
1233 | -7:4:-3 |
1234 | -4:7:-1 |
1235 | &bxor |
1236 | abc:abc:NaN |
1237 | abc:0:NaN |
1238 | 0:abc:NaN |
1239 | 1:2:3 |
1240 | +8:+2:+10 |
1241 | +281474976710656:+0:+281474976710656 |
1242 | +281474976710656:+1:+281474976710657 |
1243 | +281474976710656:+281474976710656:+0 |
1244 | -2:-3:3 |
1245 | -1:-1:0 |
1246 | -6:-6:0 |
1247 | -7:4:-3 |
1248 | -4:7:-5 |
1249 | 4:-7:-3 |
1250 | -4:-7:5 |
1251 | &bnot |
1252 | abc:NaN |
1253 | +0:-1 |
1254 | +8:-9 |
1255 | +281474976710656:-281474976710657 |
1256 | -1:0 |
1257 | -2:1 |
1258 | -12:11 |
1259 | &digit |
1260 | 0:0:0 |
1261 | 12:0:2 |
1262 | 12:1:1 |
1263 | 123:0:3 |
1264 | 123:1:2 |
1265 | 123:2:1 |
1266 | 123:-1:1 |
1267 | 123:-2:2 |
1268 | 123:-3:3 |
1269 | 123456:0:6 |
1270 | 123456:1:5 |
1271 | 123456:2:4 |
1272 | 123456:3:3 |
1273 | 123456:4:2 |
1274 | 123456:5:1 |
1275 | 123456:-1:1 |
1276 | 123456:-2:2 |
1277 | 123456:-3:3 |
1278 | 100000:-3:0 |
1279 | 100000:0:0 |
1280 | 100000:1:0 |
1281 | &mantissa |
1282 | abc:NaN |
1283 | 1e4:1 |
1284 | 2e0:2 |
1285 | 123:123 |
1286 | -1:-1 |
1287 | -2:-2 |
1288 | +inf:inf |
1289 | -inf:-inf |
1290 | &exponent |
1291 | abc:NaN |
1292 | 1e4:4 |
1293 | 2e0:0 |
1294 | 123:0 |
1295 | -1:0 |
1296 | -2:0 |
1297 | 0:1 |
1298 | +inf:inf |
1299 | -inf:inf |
1300 | &parts |
1301 | abc:NaN,NaN |
1302 | 1e4:1,4 |
1303 | 2e0:2,0 |
1304 | 123:123,0 |
1305 | -1:-1,0 |
1306 | -2:-2,0 |
1307 | 0:0,1 |
1308 | +inf:inf,inf |
1309 | -inf:-inf,inf |
1310 | &bpow |
1311 | abc:12:NaN |
1312 | 12:abc:NaN |
1313 | 0:0:1 |
1314 | 0:1:0 |
1315 | 0:2:0 |
1316 | 0:-1:NaN |
1317 | 0:-2:NaN |
1318 | 1:0:1 |
1319 | 1:1:1 |
1320 | 1:2:1 |
1321 | 1:3:1 |
1322 | 1:-1:1 |
1323 | 1:-2:1 |
1324 | 1:-3:1 |
1325 | 2:0:1 |
1326 | 2:1:2 |
1327 | 2:2:4 |
1328 | 2:3:8 |
1329 | 3:3:27 |
1330 | 2:-1:NaN |
1331 | -2:-1:NaN |
1332 | 2:-2:NaN |
1333 | -2:-2:NaN |
1334 | +inf:1234500012:inf |
1335 | -inf:1234500012:-inf |
1336 | +inf:-12345000123:inf |
1337 | -inf:-12345000123:-inf |
1338 | # 1 ** -x => 1 / (1 ** x) |
1339 | -1:0:1 |
1340 | -2:0:1 |
1341 | -1:1:-1 |
1342 | -1:2:1 |
1343 | -1:3:-1 |
1344 | -1:4:1 |
1345 | -1:5:-1 |
1346 | -1:-1:-1 |
1347 | -1:-2:1 |
1348 | -1:-3:-1 |
1349 | -1:-4:1 |
1350 | 10:2:100 |
1351 | 10:3:1000 |
1352 | 10:4:10000 |
1353 | 10:5:100000 |
1354 | 10:6:1000000 |
1355 | 10:7:10000000 |
1356 | 10:8:100000000 |
1357 | 10:9:1000000000 |
1358 | 10:20:100000000000000000000 |
1359 | 123456:2:15241383936 |
1360 | &length |
1361 | 100:3 |
1362 | 10:2 |
1363 | 1:1 |
1364 | 0:1 |
1365 | 12345:5 |
1366 | 10000000000000000:17 |
1367 | -123:3 |
1368 | 215960156869840440586892398248:30 |
1369 | &bsqrt |
1370 | 144:12 |
1371 | 16:4 |
1372 | 4:2 |
1373 | 2:1 |
1374 | 12:3 |
1375 | 256:16 |
1376 | 100000000:10000 |
1377 | 4000000000000:2000000 |
1378 | 1:1 |
1379 | 0:0 |
1380 | -2:NaN |
1381 | Nan:NaN |
1382 | &bround |
1383 | $round_mode('trunc') |
1384 | 0:12:0 |
1385 | NaNbround:12:NaN |
1386 | +inf:12:inf |
1387 | -inf:12:-inf |
1388 | 1234:0:1234 |
1389 | 1234:2:1200 |
1390 | 123456:4:123400 |
1391 | 123456:5:123450 |
1392 | 123456:6:123456 |
1393 | +10123456789:5:+10123000000 |
1394 | -10123456789:5:-10123000000 |
1395 | +10123456789:9:+10123456700 |
1396 | -10123456789:9:-10123456700 |
1397 | +101234500:6:+101234000 |
1398 | -101234500:6:-101234000 |
1399 | #+101234500:-4:+101234000 |
1400 | #-101234500:-4:-101234000 |
1401 | $round_mode('zero') |
1402 | +20123456789:5:+20123000000 |
1403 | -20123456789:5:-20123000000 |
1404 | +20123456789:9:+20123456800 |
1405 | -20123456789:9:-20123456800 |
1406 | +201234500:6:+201234000 |
1407 | -201234500:6:-201234000 |
1408 | #+201234500:-4:+201234000 |
1409 | #-201234500:-4:-201234000 |
1410 | +12345000:4:12340000 |
1411 | -12345000:4:-12340000 |
1412 | $round_mode('+inf') |
1413 | +30123456789:5:+30123000000 |
1414 | -30123456789:5:-30123000000 |
1415 | +30123456789:9:+30123456800 |
1416 | -30123456789:9:-30123456800 |
1417 | +301234500:6:+301235000 |
1418 | -301234500:6:-301234000 |
1419 | #+301234500:-4:+301235000 |
1420 | #-301234500:-4:-301234000 |
1421 | +12345000:4:12350000 |
1422 | -12345000:4:-12340000 |
1423 | $round_mode('-inf') |
1424 | +40123456789:5:+40123000000 |
1425 | -40123456789:5:-40123000000 |
1426 | +40123456789:9:+40123456800 |
1427 | -40123456789:9:-40123456800 |
1428 | +401234500:6:+401234000 |
1429 | +401234500:6:+401234000 |
1430 | #-401234500:-4:-401235000 |
1431 | #-401234500:-4:-401235000 |
1432 | +12345000:4:12340000 |
1433 | -12345000:4:-12350000 |
1434 | $round_mode('odd') |
1435 | +50123456789:5:+50123000000 |
1436 | -50123456789:5:-50123000000 |
1437 | +50123456789:9:+50123456800 |
1438 | -50123456789:9:-50123456800 |
1439 | +501234500:6:+501235000 |
1440 | -501234500:6:-501235000 |
1441 | #+501234500:-4:+501235000 |
1442 | #-501234500:-4:-501235000 |
1443 | +12345000:4:12350000 |
1444 | -12345000:4:-12350000 |
1445 | $round_mode('even') |
1446 | +60123456789:5:+60123000000 |
1447 | -60123456789:5:-60123000000 |
1448 | +60123456789:9:+60123456800 |
1449 | -60123456789:9:-60123456800 |
1450 | +601234500:6:+601234000 |
1451 | -601234500:6:-601234000 |
1452 | #+601234500:-4:+601234000 |
1453 | #-601234500:-4:-601234000 |
1454 | #-601234500:-9:0 |
1455 | #-501234500:-9:0 |
1456 | #-601234500:-8:0 |
1457 | #-501234500:-8:0 |
1458 | +1234567:7:1234567 |
1459 | +1234567:6:1234570 |
1460 | +12345000:4:12340000 |
1461 | -12345000:4:-12340000 |
1462 | &is_zero |
1463 | 0:1 |
1464 | NaNzero:0 |
1465 | +inf:0 |
1466 | -inf:0 |
1467 | 123:0 |
1468 | -1:0 |
1469 | 1:0 |
1470 | &is_one |
1471 | 0:0 |
1472 | NaNone:0 |
1473 | +inf:0 |
1474 | -inf:0 |
1475 | 1:1 |
1476 | 2:0 |
1477 | -1:0 |
1478 | -2:0 |
1479 | # floor and ceil tests are pretty pointless in integer space...but play safe |
1480 | &bfloor |
1481 | 0:0 |
1482 | NaNfloor:NaN |
1483 | +inf:inf |
1484 | -inf:-inf |
1485 | -1:-1 |
1486 | -2:-2 |
1487 | 2:2 |
1488 | 3:3 |
1489 | abc:NaN |
1490 | &bceil |
1491 | NaNceil:NaN |
1492 | +inf:inf |
1493 | -inf:-inf |
1494 | 0:0 |
1495 | -1:-1 |
1496 | -2:-2 |
1497 | 2:2 |
1498 | 3:3 |
1499 | abc:NaN |
1500 | &as_hex |
1501 | 128:0x80 |
1502 | -128:-0x80 |
1503 | 0:0x0 |
1504 | -0:0x0 |
1505 | 1:0x1 |
1506 | 0x123456789123456789:0x123456789123456789 |
1507 | +inf:inf |
1508 | -inf:-inf |
1509 | NaNas_hex:NaN |
1510 | &as_bin |
1511 | 128:0b10000000 |
1512 | -128:-0b10000000 |
1513 | 0:0b0 |
1514 | -0:0b0 |
1515 | 1:0b1 |
1516 | 0b1010111101010101010110110110110110101:0b1010111101010101010110110110110110101 |
1517 | +inf:inf |
1518 | -inf:-inf |
1519 | NaNas_bin:NaN |