Commit | Line | Data |
6854fd01 |
1 | #include this file into another for subclass testing |
2 | |
3 | my $version = ${"$class\::VERSION"}; |
4 | |
56d9de68 |
5 | use strict; |
6 | |
6854fd01 |
7 | ############################################################################## |
8 | # for testing inheritance of _swap |
9 | |
10 | package Math::Foo; |
11 | |
61f5c3f5 |
12 | use Math::BigInt lib => $main::CL; |
6854fd01 |
13 | use vars qw/@ISA/; |
14 | @ISA = (qw/Math::BigInt/); |
15 | |
16 | use overload |
17 | # customized overload for sub, since original does not use swap there |
18 | '-' => sub { my @a = ref($_[0])->_swap(@_); |
19 | $a[0]->bsub($a[1])}; |
20 | |
21 | sub _swap |
22 | { |
23 | # a fake _swap, which reverses the params |
24 | my $self = shift; # for override in subclass |
25 | if ($_[2]) |
26 | { |
27 | my $c = ref ($_[0] ) || 'Math::Foo'; |
28 | return ( $_[0]->copy(), $_[1] ); |
29 | } |
30 | else |
31 | { |
32 | return ( Math::Foo->new($_[1]), $_[0] ); |
33 | } |
34 | } |
35 | |
36 | ############################################################################## |
37 | package main; |
38 | |
b3abae2a |
39 | my $CALC = $class->config()->{lib}; ok ($CALC,$CL); |
6854fd01 |
40 | |
b3abae2a |
41 | my ($f,$z,$a,$exp,@a,$m,$e,$round_mode,$expected_class); |
6854fd01 |
42 | |
43 | while (<DATA>) |
44 | { |
d614cd8b |
45 | chomp; |
6854fd01 |
46 | next if /^#/; # skip comments |
47 | if (s/^&//) |
48 | { |
61f5c3f5 |
49 | $f = $_; next; |
6854fd01 |
50 | } |
51 | elsif (/^\$/) |
52 | { |
61f5c3f5 |
53 | $round_mode = $_; $round_mode =~ s/^\$/$class\->/; next; |
6854fd01 |
54 | } |
61f5c3f5 |
55 | |
56 | @args = split(/:/,$_,99); $ans = pop(@args); |
b3abae2a |
57 | $expected_class = $class; |
58 | if ($ans =~ /(.*?)=(.*)/) |
59 | { |
60 | $expected_class = $2; $ans = $1; |
61 | } |
61f5c3f5 |
62 | $try = "\$x = $class->new(\"$args[0]\");"; |
63 | if ($f eq "bnorm") |
6854fd01 |
64 | { |
61f5c3f5 |
65 | $try = "\$x = $class->bnorm(\"$args[0]\");"; |
66 | # some is_xxx tests |
b3abae2a |
67 | } elsif ($f =~ /^is_(zero|one|odd|even|negative|positive|nan|int)$/) { |
56d9de68 |
68 | $try .= "\$x->$f() || 0;"; |
61f5c3f5 |
69 | } elsif ($f eq "is_inf") { |
70 | $try .= "\$x->is_inf('$args[1]');"; |
71 | } elsif ($f eq "binf") { |
72 | $try .= "\$x->binf('$args[1]');"; |
73 | } elsif ($f eq "bone") { |
74 | $try .= "\$x->bone('$args[1]');"; |
56d9de68 |
75 | # some unary ops |
b3abae2a |
76 | } elsif ($f =~ /^b(nan|floor|ceil|sstr|neg|abs|inc|dec|not|sqrt|fac)$/) { |
61f5c3f5 |
77 | $try .= "\$x->$f();"; |
56d9de68 |
78 | } elsif ($f =~ /^(numify|length|stringify|as_hex|as_bin)$/) { |
79 | $try .= "\$x->$f();"; |
61f5c3f5 |
80 | } elsif ($f eq "exponent"){ |
81 | # ->bstr() to see if an object is returned |
82 | $try .= '$x = $x->exponent()->bstr();'; |
83 | } elsif ($f eq "mantissa"){ |
84 | # ->bstr() to see if an object is returned |
85 | $try .= '$x = $x->mantissa()->bstr();'; |
86 | } elsif ($f eq "parts"){ |
87 | $try .= '($m,$e) = $x->parts();'; |
88 | # ->bstr() to see if an object is returned |
89 | $try .= '$m = $m->bstr(); $m = "NaN" if !defined $m;'; |
90 | $try .= '$e = $e->bstr(); $e = "NaN" if !defined $e;'; |
91 | $try .= '"$m,$e";'; |
50109ad0 |
92 | }elsif ($f eq "bexp"){ |
93 | $try .= "\$x->bexp();"; |
fdb4b05f |
94 | } elsif ($f eq "bpi"){ |
95 | $try .= "$class\->bpi(\$x);"; |
61f5c3f5 |
96 | } else { |
56d9de68 |
97 | # binary ops |
61f5c3f5 |
98 | $try .= "\$y = $class->new('$args[1]');"; |
99 | if ($f eq "bcmp") |
100 | { |
a0ac753d |
101 | $try .= '$x->bcmp($y);'; |
61f5c3f5 |
102 | } elsif ($f eq "bround") { |
6854fd01 |
103 | $try .= "$round_mode; \$x->bround(\$y);"; |
61f5c3f5 |
104 | } elsif ($f eq "bacmp"){ |
105 | $try .= '$x->bacmp($y);'; |
106 | } elsif ($f eq "badd"){ |
107 | $try .= '$x + $y;'; |
108 | } elsif ($f eq "bsub"){ |
109 | $try .= '$x - $y;'; |
110 | } elsif ($f eq "bmul"){ |
111 | $try .= '$x * $y;'; |
112 | } elsif ($f eq "bdiv"){ |
113 | $try .= '$x / $y;'; |
114 | } elsif ($f eq "bdiv-list"){ |
115 | $try .= 'join (",",$x->bdiv($y));'; |
027dc388 |
116 | # overload via x= |
61f5c3f5 |
117 | } elsif ($f =~ /^.=$/){ |
118 | $try .= "\$x $f \$y;"; |
027dc388 |
119 | # overload via x |
61f5c3f5 |
120 | } elsif ($f =~ /^.$/){ |
121 | $try .= "\$x $f \$y;"; |
122 | } elsif ($f eq "bmod"){ |
123 | $try .= '$x % $y;'; |
124 | } elsif ($f eq "bgcd") |
6854fd01 |
125 | { |
126 | if (defined $args[2]) |
127 | { |
61f5c3f5 |
128 | $try .= " \$z = $class->new('$args[2]'); "; |
6854fd01 |
129 | } |
130 | $try .= "$class\::bgcd(\$x, \$y"; |
131 | $try .= ", \$z" if (defined $args[2]); |
132 | $try .= " );"; |
133 | } |
134 | elsif ($f eq "blcm") |
135 | { |
136 | if (defined $args[2]) |
137 | { |
61f5c3f5 |
138 | $try .= " \$z = $class->new('$args[2]'); "; |
6854fd01 |
139 | } |
140 | $try .= "$class\::blcm(\$x, \$y"; |
141 | $try .= ", \$z" if (defined $args[2]); |
142 | $try .= " );"; |
143 | }elsif ($f eq "blsft"){ |
144 | if (defined $args[2]) |
145 | { |
146 | $try .= "\$x->blsft(\$y,$args[2]);"; |
147 | } |
148 | else |
149 | { |
150 | $try .= "\$x << \$y;"; |
151 | } |
152 | }elsif ($f eq "brsft"){ |
153 | if (defined $args[2]) |
154 | { |
155 | $try .= "\$x->brsft(\$y,$args[2]);"; |
156 | } |
157 | else |
158 | { |
159 | $try .= "\$x >> \$y;"; |
160 | } |
50109ad0 |
161 | }elsif ($f eq "bnok"){ |
162 | $try .= "\$x->bnok(\$y);"; |
990fb837 |
163 | }elsif ($f eq "broot"){ |
164 | $try .= "\$x->broot(\$y);"; |
091c87b1 |
165 | }elsif ($f eq "blog"){ |
166 | $try .= "\$x->blog(\$y);"; |
6854fd01 |
167 | }elsif ($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;"; |
d614cd8b |
175 | } elsif( $f eq "bmodinv") { |
176 | $try .= "\$x->bmodinv(\$y);"; |
6854fd01 |
177 | }elsif ($f eq "digit"){ |
56b9c951 |
178 | $try .= "\$x->digit(\$y);"; |
30afc38d |
179 | }elsif ($f eq "batan2"){ |
180 | $try .= "\$x->batan2(\$y);"; |
d614cd8b |
181 | } else { |
80365507 |
182 | # Functions with three arguments |
d614cd8b |
183 | $try .= "\$z = $class->new(\"$args[2]\");"; |
184 | |
d614cd8b |
185 | if( $f eq "bmodpow") { |
186 | $try .= "\$x->bmodpow(\$y,\$z);"; |
80365507 |
187 | } elsif ($f eq "bmuladd"){ |
188 | $try .= "\$x->bmuladd(\$y,\$z);"; |
d614cd8b |
189 | } else { warn "Unknown op '$f'"; } |
190 | } |
61f5c3f5 |
191 | } # end else all other ops |
192 | |
193 | $ans1 = eval $try; |
194 | # convert hex/binary targets to decimal |
195 | if ($ans =~ /^(0x0x|0b0b)/) |
196 | { |
197 | $ans =~ s/^0[xb]//; $ans = Math::BigInt->new($ans)->bstr(); |
6854fd01 |
198 | } |
61f5c3f5 |
199 | if ($ans eq "") |
200 | { |
201 | ok_undef ($ans1); |
202 | } |
203 | else |
204 | { |
205 | # print "try: $try ans: $ans1 $ans\n"; |
206 | print "# Tried: '$try'\n" if !ok ($ans1, $ans); |
b3abae2a |
207 | ok (ref($ans),$expected_class) if $expected_class ne $class; |
6854fd01 |
208 | } |
61f5c3f5 |
209 | # check internal state of number objects |
210 | is_valid($ans1,$f) if ref $ans1; |
6854fd01 |
211 | } # endwhile data tests |
212 | close DATA; |
213 | |
214 | # test some more |
215 | @a = (); |
216 | for (my $i = 1; $i < 10; $i++) |
217 | { |
218 | push @a, $i; |
219 | } |
220 | ok "@a", "1 2 3 4 5 6 7 8 9"; |
221 | |
222 | # test whether self-multiplication works correctly (result is 2**64) |
223 | $try = "\$x = $class->new('4294967296');"; |
224 | $try .= '$a = $x->bmul($x);'; |
225 | $ans1 = eval $try; |
226 | print "# Tried: '$try'\n" if !ok ($ans1, $class->new(2) ** 64); |
227 | # test self-pow |
228 | $try = "\$x = $class->new(10);"; |
229 | $try .= '$a = $x->bpow($x);'; |
230 | $ans1 = eval $try; |
231 | print "# Tried: '$try'\n" if !ok ($ans1, $class->new(10) ** 10); |
232 | |
07d34614 |
233 | ############################################################################### |
6854fd01 |
234 | # test whether op destroys args or not (should better not) |
235 | |
236 | $x = $class->new(3); |
237 | $y = $class->new(4); |
238 | $z = $x & $y; |
239 | ok ($x,3); |
240 | ok ($y,4); |
241 | ok ($z,0); |
242 | $z = $x | $y; |
243 | ok ($x,3); |
244 | ok ($y,4); |
245 | ok ($z,7); |
246 | $x = $class->new(1); |
247 | $y = $class->new(2); |
248 | $z = $x | $y; |
249 | ok ($x,1); |
250 | ok ($y,2); |
251 | ok ($z,3); |
252 | |
253 | $x = $class->new(5); |
254 | $y = $class->new(4); |
255 | $z = $x ^ $y; |
256 | ok ($x,5); |
257 | ok ($y,4); |
258 | ok ($z,1); |
259 | |
260 | $x = $class->new(-5); $y = -$x; |
261 | ok ($x, -5); |
262 | |
263 | $x = $class->new(-5); $y = abs($x); |
264 | ok ($x, -5); |
265 | |
07d34614 |
266 | $x = $class->new(8); |
267 | $y = $class->new(-1); |
268 | $z = $class->new(5033); |
269 | my $u = $x->copy()->bmodpow($y,$z); |
270 | ok ($u,4404); |
271 | ok ($y,-1); |
272 | ok ($z,5033); |
273 | |
274 | $x = $class->new(-5); $y = -$x; ok ($x,-5); ok ($y,5); |
275 | $x = $class->new(-5); $y = $x->copy()->bneg(); ok ($x,-5); ok ($y,5); |
276 | |
277 | $x = $class->new(-5); $y = $class->new(3); $x->bmul($y); ok ($x,-15); ok ($y,3); |
278 | $x = $class->new(-5); $y = $class->new(3); $x->badd($y); ok ($x,-2); ok ($y,3); |
279 | $x = $class->new(-5); $y = $class->new(3); $x->bsub($y); ok ($x,-8); ok ($y,3); |
280 | $x = $class->new(-15); $y = $class->new(3); $x->bdiv($y); ok ($x,-5); ok ($y,3); |
281 | $x = $class->new(-5); $y = $class->new(3); $x->bmod($y); ok ($x,1); ok ($y,3); |
282 | |
283 | $x = $class->new(5); $y = $class->new(3); $x->bmul($y); ok ($x,15); ok ($y,3); |
284 | $x = $class->new(5); $y = $class->new(3); $x->badd($y); ok ($x,8); ok ($y,3); |
285 | $x = $class->new(5); $y = $class->new(3); $x->bsub($y); ok ($x,2); ok ($y,3); |
286 | $x = $class->new(15); $y = $class->new(3); $x->bdiv($y); ok ($x,5); ok ($y,3); |
287 | $x = $class->new(5); $y = $class->new(3); $x->bmod($y); ok ($x,2); ok ($y,3); |
288 | |
289 | $x = $class->new(5); $y = $class->new(-3); $x->bmul($y); ok ($x,-15); ok($y,-3); |
290 | $x = $class->new(5); $y = $class->new(-3); $x->badd($y); ok ($x,2); ok($y,-3); |
291 | $x = $class->new(5); $y = $class->new(-3); $x->bsub($y); ok ($x,8); ok($y,-3); |
292 | $x = $class->new(15); $y = $class->new(-3); $x->bdiv($y); ok ($x,-5); ok($y,-3); |
293 | $x = $class->new(5); $y = $class->new(-3); $x->bmod($y); ok ($x,-1); ok($y,-3); |
294 | |
295 | ############################################################################### |
6854fd01 |
296 | # check whether overloading cmp works |
297 | $try = "\$x = $class->new(0);"; |
298 | $try .= "\$y = 10;"; |
299 | $try .= "'false' if \$x ne \$y;"; |
300 | $ans = eval $try; |
301 | print "# For '$try'\n" if (!ok "$ans" , "false" ); |
302 | |
303 | # we cant test for working cmpt with other objects here, we would need a dummy |
304 | # object with stringify overload for this. see Math::String tests as example |
305 | |
306 | ############################################################################### |
6854fd01 |
307 | # check reversed order of arguments |
027dc388 |
308 | |
6854fd01 |
309 | $try = "\$x = $class->new(10); \$x = 2 ** \$x;"; |
310 | $try .= "'ok' if \$x == 1024;"; $ans = eval $try; |
311 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
312 | |
313 | $try = "\$x = $class->new(10); \$x = 2 * \$x;"; |
314 | $try .= "'ok' if \$x == 20;"; $ans = eval $try; |
315 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
316 | |
317 | $try = "\$x = $class->new(10); \$x = 2 + \$x;"; |
318 | $try .= "'ok' if \$x == 12;"; $ans = eval $try; |
319 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
320 | |
321 | $try = "\$x = $class\->new(10); \$x = 2 - \$x;"; |
322 | $try .= "'ok' if \$x == -8;"; $ans = eval $try; |
323 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
324 | |
325 | $try = "\$x = $class\->new(10); \$x = 20 / \$x;"; |
326 | $try .= "'ok' if \$x == 2;"; $ans = eval $try; |
327 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
328 | |
027dc388 |
329 | $try = "\$x = $class\->new(3); \$x = 20 % \$x;"; |
330 | $try .= "'ok' if \$x == 2;"; $ans = eval $try; |
331 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
332 | |
333 | $try = "\$x = $class\->new(7); \$x = 20 & \$x;"; |
334 | $try .= "'ok' if \$x == 4;"; $ans = eval $try; |
335 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
336 | |
337 | $try = "\$x = $class\->new(7); \$x = 0x20 | \$x;"; |
338 | $try .= "'ok' if \$x == 0x27;"; $ans = eval $try; |
339 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
340 | |
341 | $try = "\$x = $class\->new(7); \$x = 0x20 ^ \$x;"; |
342 | $try .= "'ok' if \$x == 0x27;"; $ans = eval $try; |
343 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
344 | |
6854fd01 |
345 | ############################################################################### |
346 | # check badd(4,5) form |
347 | |
348 | $try = "\$x = $class\->badd(4,5);"; |
349 | $try .= "'ok' if \$x == 9;"; |
350 | $ans = eval $try; |
351 | print "# For '$try'\n" if (!ok "$ans" , "ok" ); |
352 | |
353 | ############################################################################### |
354 | # check undefs: NOT DONE YET |
355 | |
356 | ############################################################################### |
357 | # bool |
358 | |
f9a08e12 |
359 | $x = $class->new(1); if ($x) { ok (1,1); } else { ok($x,'to be true') } |
360 | $x = $class->new(0); if (!$x) { ok (1,1); } else { ok($x,'to be false') } |
6854fd01 |
361 | |
362 | ############################################################################### |
363 | # objectify() |
364 | |
365 | @args = Math::BigInt::objectify(2,4,5); |
366 | ok (scalar @args,3); # $class, 4, 5 |
56b9c951 |
367 | ok ($args[0] =~ /^Math::BigInt/); |
6854fd01 |
368 | ok ($args[1],4); |
369 | ok ($args[2],5); |
370 | |
371 | @args = Math::BigInt::objectify(0,4,5); |
372 | ok (scalar @args,3); # $class, 4, 5 |
56b9c951 |
373 | ok ($args[0] =~ /^Math::BigInt/); |
6854fd01 |
374 | ok ($args[1],4); |
375 | ok ($args[2],5); |
376 | |
377 | @args = Math::BigInt::objectify(2,4,5); |
378 | ok (scalar @args,3); # $class, 4, 5 |
56b9c951 |
379 | ok ($args[0] =~ /^Math::BigInt/); |
6854fd01 |
380 | ok ($args[1],4); |
381 | ok ($args[2],5); |
382 | |
383 | @args = Math::BigInt::objectify(2,4,5,6,7); |
384 | ok (scalar @args,5); # $class, 4, 5, 6, 7 |
56b9c951 |
385 | ok ($args[0] =~ /^Math::BigInt/); |
6854fd01 |
386 | ok ($args[1],4); ok (ref($args[1]),$args[0]); |
387 | ok ($args[2],5); ok (ref($args[2]),$args[0]); |
388 | ok ($args[3],6); ok (ref($args[3]),''); |
389 | ok ($args[4],7); ok (ref($args[4]),''); |
390 | |
391 | @args = Math::BigInt::objectify(2,$class,4,5,6,7); |
392 | ok (scalar @args,5); # $class, 4, 5, 6, 7 |
393 | ok ($args[0],$class); |
394 | ok ($args[1],4); ok (ref($args[1]),$args[0]); |
395 | ok ($args[2],5); ok (ref($args[2]),$args[0]); |
396 | ok ($args[3],6); ok (ref($args[3]),''); |
397 | ok ($args[4],7); ok (ref($args[4]),''); |
398 | |
399 | ############################################################################### |
f9a08e12 |
400 | # test whether an opp calls objectify properly or not (or at least does what |
401 | # it should do given non-objects, w/ or w/o objectify()) |
402 | |
403 | ok ($class->new(123)->badd(123),246); |
404 | ok ($class->badd(123,321),444); |
405 | ok ($class->badd(123,$class->new(321)),444); |
406 | |
407 | ok ($class->new(123)->bsub(122),1); |
408 | ok ($class->bsub(321,123),198); |
409 | ok ($class->bsub(321,$class->new(123)),198); |
410 | |
411 | ok ($class->new(123)->bmul(123),15129); |
412 | ok ($class->bmul(123,123),15129); |
413 | ok ($class->bmul(123,$class->new(123)),15129); |
414 | |
415 | ok ($class->new(15129)->bdiv(123),123); |
416 | ok ($class->bdiv(15129,123),123); |
417 | ok ($class->bdiv(15129,$class->new(123)),123); |
418 | |
419 | ok ($class->new(15131)->bmod(123),2); |
420 | ok ($class->bmod(15131,123),2); |
421 | ok ($class->bmod(15131,$class->new(123)),2); |
422 | |
423 | ok ($class->new(2)->bpow(16),65536); |
424 | ok ($class->bpow(2,16),65536); |
425 | ok ($class->bpow(2,$class->new(16)),65536); |
426 | |
427 | ok ($class->new(2**15)->brsft(1),2**14); |
428 | ok ($class->brsft(2**15,1),2**14); |
429 | ok ($class->brsft(2**15,$class->new(1)),2**14); |
430 | |
431 | ok ($class->new(2**13)->blsft(1),2**14); |
432 | ok ($class->blsft(2**13,1),2**14); |
433 | ok ($class->blsft(2**13,$class->new(1)),2**14); |
434 | |
435 | ############################################################################### |
6854fd01 |
436 | # test for floating-point input (other tests in bnorm() below) |
437 | |
438 | $z = 1050000000000000; # may be int on systems with 64bit? |
439 | $x = $class->new($z); ok ($x->bsstr(),'105e+13'); # not 1.05e+15 |
440 | $z = 1e+129; # definitely a float (may fail on UTS) |
441 | # don't compare to $z, since some Perl versions stringify $z into something |
442 | # like '1.e+129' or something equally ugly |
443 | $x = $class->new($z); ok ($x->bsstr(),'1e+129'); |
444 | |
445 | ############################################################################### |
56d9de68 |
446 | # test for whitespace inlcuding newlines to be handled correctly |
447 | |
448 | # ok ($Math::BigInt::strict,1); # the default |
449 | |
450 | foreach my $c ( |
451 | qw/1 12 123 1234 12345 123456 1234567 12345678 123456789 1234567890/) |
452 | { |
453 | my $m = $class->new($c); |
454 | ok ($class->new("$c"),$m); |
455 | ok ($class->new(" $c"),$m); |
456 | ok ($class->new("$c "),$m); |
457 | ok ($class->new(" $c "),$m); |
458 | ok ($class->new("\n$c"),$m); |
459 | ok ($class->new("$c\n"),$m); |
460 | ok ($class->new("\n$c\n"),$m); |
461 | ok ($class->new(" \n$c\n"),$m); |
462 | ok ($class->new(" \n$c \n"),$m); |
463 | ok ($class->new(" \n$c\n "),$m); |
464 | ok ($class->new(" \n$c\n1"),'NaN'); |
465 | ok ($class->new("1 \n$c\n1"),'NaN'); |
466 | } |
467 | |
468 | ############################################################################### |
6854fd01 |
469 | # prime number tests, also test for **= and length() |
470 | # found on: http://www.utm.edu/research/primes/notes/by_year.html |
471 | |
472 | # ((2^148)-1)/17 |
473 | $x = $class->new(2); $x **= 148; $x++; $x = $x / 17; |
474 | ok ($x,"20988936657440586486151264256610222593863921"); |
475 | ok ($x->length(),length "20988936657440586486151264256610222593863921"); |
476 | |
477 | # MM7 = 2^127-1 |
478 | $x = $class->new(2); $x **= 127; $x--; |
479 | ok ($x,"170141183460469231731687303715884105727"); |
480 | |
481 | $x = $class->new('215960156869840440586892398248'); |
482 | ($x,$y) = $x->length(); |
483 | ok ($x,30); ok ($y,0); |
484 | |
485 | $x = $class->new('1_000_000_000_000'); |
486 | ($x,$y) = $x->length(); |
487 | ok ($x,13); ok ($y,0); |
488 | |
2d2b2744 |
489 | # test <<=, >>= |
490 | $x = $class->new('2'); |
491 | my $y = $class->new('18'); |
492 | ok ($x <<= $y, 2 << 18); |
493 | ok ($x, 2 << 18); |
494 | ok ($x >>= $y, 2); |
495 | ok ($x, 2); |
496 | |
6854fd01 |
497 | # I am afraid the following is not yet possible due to slowness |
498 | # Also, testing for 2 meg output is a bit hard ;) |
499 | #$x = $class->new(2); $x **= 6972593; $x--; |
500 | |
501 | # 593573509*2^332162+1 has exactly 1,000,000 digits |
502 | # takes about 24 mins on 300 Mhz, so cannot be done yet ;) |
503 | #$x = $class->new(2); $x **= 332162; $x *= "593573509"; $x++; |
504 | #ok ($x->length(),1_000_000); |
505 | |
506 | ############################################################################### |
507 | # inheritance and overriding of _swap |
508 | |
509 | $x = Math::Foo->new(5); |
510 | $x = $x - 8; # 8 - 5 instead of 5-8 |
511 | ok ($x,3); |
512 | ok (ref($x),'Math::Foo'); |
513 | |
514 | $x = Math::Foo->new(5); |
515 | $x = 8 - $x; # 5 - 8 instead of 8 - 5 |
516 | ok ($x,-3); |
517 | ok (ref($x),'Math::Foo'); |
518 | |
519 | ############################################################################### |
520 | # Test whether +inf eq inf |
521 | # This tried to test whether BigInt inf equals Perl inf. Unfortunately, Perl |
522 | # hasn't (before 5.7.3 at least) a consistent way to say inf, and some things |
523 | # like 1e100000 crash on some platforms. So simple test for the string 'inf' |
524 | $x = $class->new('+inf'); ok ($x,'inf'); |
525 | |
526 | ############################################################################### |
527 | ############################################################################### |
56d9de68 |
528 | # the followin tests only make sense with Math::BigInt::Calc or BareCalc or |
529 | # FastCalc |
6854fd01 |
530 | |
56d9de68 |
531 | exit if $CALC !~ /^Math::BigInt::(|Bare|Fast)Calc$/; # for Pari et al. |
6854fd01 |
532 | |
533 | ############################################################################### |
534 | # check proper length of internal arrays |
535 | |
394e6ffb |
536 | my $bl = $CL->_base_len(); |
6854fd01 |
537 | my $BASE = '9' x $bl; |
538 | my $MAX = $BASE; |
539 | $BASE++; |
540 | |
541 | $x = $class->new($MAX); is_valid($x); # f.i. 9999 |
542 | $x += 1; ok ($x,$BASE); is_valid($x); # 10000 |
543 | $x -= 1; ok ($x,$MAX); is_valid($x); # 9999 again |
544 | |
545 | ############################################################################### |
546 | # check numify |
547 | |
548 | $x = $class->new($BASE-1); ok ($x->numify(),$BASE-1); |
549 | $x = $class->new(-($BASE-1)); ok ($x->numify(),-($BASE-1)); |
61f5c3f5 |
550 | |
551 | # +0 is to protect from 1e15 vs 100000000 (stupid to_string aaaarglburblll...) |
552 | $x = $class->new($BASE); ok ($x->numify()+0,$BASE+0); |
6854fd01 |
553 | $x = $class->new(-$BASE); ok ($x->numify(),-$BASE); |
554 | $x = $class->new( -($BASE*$BASE*1+$BASE*1+1) ); |
555 | ok($x->numify(),-($BASE*$BASE*1+$BASE*1+1)); |
556 | |
557 | ############################################################################### |
558 | # test bug in _digits with length($c[-1]) where $c[-1] was "00001" instead of 1 |
559 | |
394e6ffb |
560 | $x = $class->new($BASE-2); $x++; $x++; $x++; $x++; |
561 | if ($x > $BASE) { ok (1,1) } else { ok ("$x < $BASE","$x > $BASE"); } |
562 | |
563 | $x = $class->new($BASE+3); $x++; |
564 | if ($x > $BASE) { ok (1,1) } else { ok ("$x > $BASE","$x < $BASE"); } |
6854fd01 |
565 | |
394e6ffb |
566 | # test for +0 instead of int(): |
567 | $x = $class->new($MAX); ok ($x->length(), length($MAX)); |
6854fd01 |
568 | |
569 | ############################################################################### |
56b9c951 |
570 | # test bug that $class->digit($string) did not work |
571 | |
572 | ok ($class->digit(123,2),1); |
573 | |
574 | ############################################################################### |
6854fd01 |
575 | # bug in sub where number with at least 6 trailing zeros after any op failed |
576 | |
394e6ffb |
577 | $x = $class->new(123456); $z = $class->new(10000); $z *= 10; $x -= $z; |
6854fd01 |
578 | ok ($z, 100000); |
579 | ok ($x, 23456); |
580 | |
581 | ############################################################################### |
582 | # bug in shortcut in mul() |
583 | |
61f5c3f5 |
584 | # construct a number with a zero-hole of BASE_LEN_SMALL |
585 | { |
586 | my @bl = $CL->_base_len(); my $bl = $bl[4]; |
587 | |
588 | $x = '1' x $bl . '0' x $bl . '1' x $bl . '0' x $bl; |
589 | $y = '1' x (2*$bl); |
590 | $x = $class->new($x)->bmul($y); |
591 | # result is 123..$bl . $bl x (3*bl-1) . $bl...321 . '0' x $bl |
592 | $y = ''; my $d = ''; |
593 | for (my $i = 1; $i <= $bl; $i++) |
594 | { |
595 | $y .= $i; $d = $i.$d; |
596 | } |
597 | $y .= $bl x (3*$bl-1) . $d . '0' x $bl; |
598 | ok ($x,$y); |
599 | |
6854fd01 |
600 | |
f9a08e12 |
601 | ############################################################################# |
602 | # see if mul shortcut for small numbers works |
394e6ffb |
603 | |
f9a08e12 |
604 | $x = '9' x $bl; |
605 | $x = $class->new($x); |
606 | # 999 * 999 => 998 . 001, 9999*9999 => 9998 . 0001 |
607 | ok ($x*$x, '9' x ($bl-1) . '8' . '0' x ($bl-1) . '1'); |
608 | } |
61f5c3f5 |
609 | |
394e6ffb |
610 | ############################################################################### |
6854fd01 |
611 | # bug with rest "-0" in div, causing further div()s to fail |
612 | |
394e6ffb |
613 | $x = $class->new('-322056000'); ($x,$y) = $x->bdiv('-12882240'); |
6854fd01 |
614 | |
61f5c3f5 |
615 | ok ($y,'0'); is_valid($y); # $y not '-0' |
394e6ffb |
616 | |
79c55733 |
617 | ############################################################################### |
f9a08e12 |
618 | # bug in $x->bmod($y) |
07d34614 |
619 | |
f9a08e12 |
620 | # if $x < 0 and $y > 0 |
07d34614 |
621 | $x = $class->new('-629'); ok ($x->bmod(5033),4404); |
622 | |
623 | ############################################################################### |
56b9c951 |
624 | # bone/binf etc as plain calls (Lite failed them) |
625 | |
626 | ok ($class->bzero(),0); |
627 | ok ($class->bone(),1); |
628 | ok ($class->bone('+'),1); |
629 | ok ($class->bone('-'),-1); |
630 | ok ($class->bnan(),'NaN'); |
631 | ok ($class->binf(),'inf'); |
632 | ok ($class->binf('+'),'inf'); |
633 | ok ($class->binf('-'),'-inf'); |
634 | ok ($class->binf('-inf'),'-inf'); |
635 | |
636 | ############################################################################### |
990fb837 |
637 | # is_one('-') |
638 | |
639 | ok ($class->new(1)->is_one('-'),0); |
640 | ok ($class->new(-1)->is_one('-'),1); |
641 | ok ($class->new(1)->is_one(),1); |
642 | ok ($class->new(-1)->is_one(),0); |
643 | |
644 | ############################################################################### |
03874afe |
645 | # [perl #30609] bug with $x -= $x not beeing 0, but 2*$x |
646 | |
647 | $x = $class->new(3); $x -= $x; ok ($x, 0); |
648 | $x = $class->new(-3); $x -= $x; ok ($x, 0); |
649 | $x = $class->new('NaN'); $x -= $x; ok ($x->is_nan(), 1); |
650 | $x = $class->new('inf'); $x -= $x; ok ($x->is_nan(), 1); |
651 | $x = $class->new('-inf'); $x -= $x; ok ($x->is_nan(), 1); |
652 | |
653 | $x = $class->new('NaN'); $x += $x; ok ($x->is_nan(), 1); |
654 | $x = $class->new('inf'); $x += $x; ok ($x->is_inf(), 1); |
655 | $x = $class->new('-inf'); $x += $x; ok ($x->is_inf('-'), 1); |
656 | $x = $class->new(3); $x += $x; ok ($x, 6); |
657 | $x = $class->new(-3); $x += $x; ok ($x, -6); |
658 | |
659 | $x = $class->new(3); $x *= $x; ok ($x, 9); |
660 | $x = $class->new(-3); $x *= $x; ok ($x, 9); |
661 | $x = $class->new(3); $x /= $x; ok ($x, 1); |
662 | $x = $class->new(-3); $x /= $x; ok ($x, 1); |
663 | $x = $class->new(3); $x %= $x; ok ($x, 0); |
664 | $x = $class->new(-3); $x %= $x; ok ($x, 0); |
665 | |
666 | ############################################################################### |
61f5c3f5 |
667 | # all tests done |
6854fd01 |
668 | |
669 | 1; |
670 | |
671 | ############################################################################### |
61f5c3f5 |
672 | ############################################################################### |
6854fd01 |
673 | # Perl 5.005 does not like ok ($x,undef) |
674 | |
675 | sub ok_undef |
676 | { |
677 | my $x = shift; |
678 | |
679 | ok (1,1) and return if !defined $x; |
680 | ok ($x,'undef'); |
681 | } |
682 | |
683 | ############################################################################### |
684 | # sub to check validity of a BigInt internally, to ensure that no op leaves a |
685 | # number object in an invalid state (f.i. "-0") |
686 | |
687 | sub is_valid |
688 | { |
689 | my ($x,$f) = @_; |
690 | |
691 | my $e = 0; # error? |
6854fd01 |
692 | |
56b9c951 |
693 | # allow the check to pass for all Lite, and all MBI and subclasses |
694 | # ok as reference? |
695 | $e = 'Not a reference to Math::BigInt' if ref($x) !~ /^Math::BigInt/; |
6854fd01 |
696 | |
56b9c951 |
697 | if (ref($x) ne 'Math::BigInt::Lite') |
698 | { |
699 | # has ok sign? |
700 | $e = "Illegal sign $x->{sign} (expected: '+', '-', '-inf', '+inf' or 'NaN'" |
701 | if $e eq '0' && $x->{sign} !~ /^(\+|-|\+inf|-inf|NaN)$/; |
702 | |
703 | $e = "-0 is invalid!" if $e ne '0' && $x->{sign} eq '-' && $x == 0; |
704 | $e = $CALC->_check($x->{value}) if $e eq '0'; |
705 | } |
6854fd01 |
706 | |
707 | # test done, see if error did crop up |
708 | ok (1,1), return if ($e eq '0'); |
709 | |
027dc388 |
710 | ok (1,$e." after op '$f'"); |
6854fd01 |
711 | } |
712 | |
713 | __DATA__ |
027dc388 |
714 | &.= |
715 | 1234:-345:1234-345 |
716 | &+= |
717 | 1:2:3 |
718 | -1:-2:-3 |
719 | &-= |
720 | 1:2:-1 |
721 | -1:-2:1 |
722 | &*= |
723 | 2:3:6 |
724 | -1:5:-5 |
725 | &%= |
726 | 100:3:1 |
727 | 8:9:8 |
07d34614 |
728 | -629:5033:4404 |
027dc388 |
729 | &/= |
730 | 100:3:33 |
731 | -8:2:-4 |
732 | &|= |
733 | 2:1:3 |
734 | &&= |
735 | 5:7:5 |
736 | &^= |
737 | 5:7:2 |
091c87b1 |
738 | &blog |
739 | NaNlog:2:NaN |
740 | 122:NaNlog:NaN |
741 | NaNlog1:NaNlog:NaN |
742 | 122:inf:NaN |
743 | inf:122:NaN |
744 | 122:-inf:NaN |
745 | -inf:122:NaN |
746 | -inf:-inf:NaN |
747 | inf:inf:NaN |
748 | 0:4:NaN |
749 | -21:4:NaN |
750 | 21:-21:NaN |
751 | # normal results |
752 | 1024:2:10 |
753 | 81:3:4 |
754 | # 3.01.. truncate |
755 | 82:3:4 |
756 | # 3.9... truncate |
757 | 80:3:3 |
758 | 15625:5:6 |
759 | 15626:5:6 |
760 | 15624:5:5 |
8df1e0a2 |
761 | 1000:10:3 |
762 | 10000:10:4 |
763 | 100000:10:5 |
764 | 1000000:10:6 |
765 | 10000000:10:7 |
766 | 100000000:10:8 |
767 | 8916100448256:12:12 |
768 | 8916100448257:12:12 |
769 | 8916100448255:12:11 |
770 | 2251799813685248:8:17 |
771 | 72057594037927936:2:56 |
772 | 144115188075855872:2:57 |
773 | 288230376151711744:2:58 |
774 | 576460752303423488:2:59 |
775 | 4096:2:12 |
776 | 1329227995784915872903807060280344576:2:120 |
091c87b1 |
777 | # $x == $base => result 1 |
778 | 3:3:1 |
779 | # $x < $base => result 0 ($base ** 0 <= $x) |
780 | 3:4:0 |
781 | # $x == 1 => result 0 |
782 | 1:5:0 |
6854fd01 |
783 | &is_negative |
784 | 0:0 |
785 | -1:1 |
786 | 1:0 |
787 | +inf:0 |
788 | -inf:1 |
789 | NaNneg:0 |
790 | &is_positive |
b68b7ab1 |
791 | 0:0 |
6854fd01 |
792 | -1:0 |
793 | 1:1 |
794 | +inf:1 |
795 | -inf:0 |
796 | NaNneg:0 |
b3abae2a |
797 | &is_int |
798 | -inf:0 |
799 | +inf:0 |
800 | NaNis_int:0 |
801 | 1:1 |
802 | 0:1 |
803 | 123e12:1 |
6854fd01 |
804 | &is_odd |
805 | abc:0 |
806 | 0:0 |
807 | 1:1 |
808 | 3:1 |
809 | -1:1 |
810 | -3:1 |
811 | 10000001:1 |
812 | 10000002:0 |
813 | 2:0 |
b3abae2a |
814 | 120:0 |
815 | 121:1 |
6854fd01 |
816 | &is_even |
817 | abc:0 |
818 | 0:1 |
819 | 1:0 |
820 | 3:0 |
821 | -1:0 |
822 | -3:0 |
823 | 10000001:0 |
824 | 10000002:1 |
825 | 2:1 |
b3abae2a |
826 | 120:1 |
827 | 121:0 |
6854fd01 |
828 | &bacmp |
829 | +0:-0:0 |
830 | +0:+1:-1 |
831 | -1:+1:0 |
832 | +1:-1:0 |
833 | -1:+2:-1 |
834 | +2:-1:1 |
835 | -123456789:+987654321:-1 |
836 | +123456789:-987654321:-1 |
837 | +987654321:+123456789:1 |
838 | -987654321:+123456789:1 |
839 | -123:+4567889:-1 |
840 | # NaNs |
841 | acmpNaN:123: |
842 | 123:acmpNaN: |
843 | acmpNaN:acmpNaN: |
844 | # infinity |
845 | +inf:+inf:0 |
846 | -inf:-inf:0 |
847 | +inf:-inf:0 |
848 | -inf:+inf:0 |
849 | +inf:123:1 |
850 | -inf:123:1 |
851 | +inf:-123:1 |
852 | -inf:-123:1 |
ef9466ea |
853 | 123:-inf:-1 |
854 | -123:inf:-1 |
855 | -123:-inf:-1 |
856 | 123:inf:-1 |
6854fd01 |
857 | # return undef |
858 | +inf:NaN: |
859 | NaN:inf: |
860 | -inf:NaN: |
861 | NaN:-inf: |
862 | &bnorm |
aef458a0 |
863 | 0e999:0 |
864 | 0e-999:0 |
865 | -0e999:0 |
866 | -0e-999:0 |
6854fd01 |
867 | 123:123 |
868 | # binary input |
869 | 0babc:NaN |
870 | 0b123:NaN |
871 | 0b0:0 |
872 | -0b0:0 |
873 | -0b1:-1 |
874 | 0b0001:1 |
875 | 0b001:1 |
876 | 0b011:3 |
877 | 0b101:5 |
61f5c3f5 |
878 | 0b1001:9 |
879 | 0b10001:17 |
880 | 0b100001:33 |
881 | 0b1000001:65 |
882 | 0b10000001:129 |
883 | 0b100000001:257 |
884 | 0b1000000001:513 |
885 | 0b10000000001:1025 |
886 | 0b100000000001:2049 |
887 | 0b1000000000001:4097 |
888 | 0b10000000000001:8193 |
889 | 0b100000000000001:16385 |
890 | 0b1000000000000001:32769 |
891 | 0b10000000000000001:65537 |
892 | 0b100000000000000001:131073 |
893 | 0b1000000000000000001:262145 |
894 | 0b10000000000000000001:524289 |
895 | 0b100000000000000000001:1048577 |
896 | 0b1000000000000000000001:2097153 |
897 | 0b10000000000000000000001:4194305 |
898 | 0b100000000000000000000001:8388609 |
899 | 0b1000000000000000000000001:16777217 |
900 | 0b10000000000000000000000001:33554433 |
901 | 0b100000000000000000000000001:67108865 |
902 | 0b1000000000000000000000000001:134217729 |
903 | 0b10000000000000000000000000001:268435457 |
904 | 0b100000000000000000000000000001:536870913 |
905 | 0b1000000000000000000000000000001:1073741825 |
906 | 0b10000000000000000000000000000001:2147483649 |
907 | 0b100000000000000000000000000000001:4294967297 |
908 | 0b1000000000000000000000000000000001:8589934593 |
909 | 0b10000000000000000000000000000000001:17179869185 |
6854fd01 |
910 | 0b_101:NaN |
911 | 0b1_0_1:5 |
394e6ffb |
912 | 0b0_0_0_1:1 |
6854fd01 |
913 | # hex input |
914 | -0x0:0 |
915 | 0xabcdefgh:NaN |
916 | 0x1234:4660 |
917 | 0xabcdef:11259375 |
918 | -0xABCDEF:-11259375 |
919 | -0x1234:-4660 |
920 | 0x12345678:305419896 |
921 | 0x1_2_3_4_56_78:305419896 |
394e6ffb |
922 | 0xa_b_c_d_e_f:11259375 |
6854fd01 |
923 | 0x_123:NaN |
61f5c3f5 |
924 | 0x9:9 |
925 | 0x11:17 |
926 | 0x21:33 |
927 | 0x41:65 |
928 | 0x81:129 |
929 | 0x101:257 |
930 | 0x201:513 |
931 | 0x401:1025 |
932 | 0x801:2049 |
933 | 0x1001:4097 |
934 | 0x2001:8193 |
935 | 0x4001:16385 |
936 | 0x8001:32769 |
937 | 0x10001:65537 |
938 | 0x20001:131073 |
939 | 0x40001:262145 |
940 | 0x80001:524289 |
941 | 0x100001:1048577 |
942 | 0x200001:2097153 |
943 | 0x400001:4194305 |
944 | 0x800001:8388609 |
945 | 0x1000001:16777217 |
946 | 0x2000001:33554433 |
947 | 0x4000001:67108865 |
948 | 0x8000001:134217729 |
949 | 0x10000001:268435457 |
950 | 0x20000001:536870913 |
951 | 0x40000001:1073741825 |
952 | 0x80000001:2147483649 |
953 | 0x100000001:4294967297 |
954 | 0x200000001:8589934593 |
955 | 0x400000001:17179869185 |
956 | 0x800000001:34359738369 |
2d2b2744 |
957 | # bug found by Mark Lakata in Calc.pm creating too big one-element numbers in _from_hex() |
958 | 0x2dd59e18a125dbed30a6ab1d93e9c855569f44f75806f0645dc9a2e98b808c3:1295719234436071846486578237372801883390756472611551858964079371952886122691 |
6854fd01 |
959 | # inf input |
960 | inf:inf |
961 | +inf:inf |
962 | -inf:-inf |
963 | 0inf:NaN |
027dc388 |
964 | # abnormal input |
6854fd01 |
965 | :NaN |
966 | abc:NaN |
967 | 1 a:NaN |
968 | 1bcd2:NaN |
969 | 11111b:NaN |
970 | +1z:NaN |
971 | -1z:NaN |
027dc388 |
972 | # only one underscore between two digits |
973 | _123:NaN |
974 | _123_:NaN |
975 | 123_:NaN |
976 | 1__23:NaN |
977 | 1E1__2:NaN |
978 | 1_E12:NaN |
979 | 1E_12:NaN |
980 | 1_E_12:NaN |
981 | +_1E12:NaN |
982 | +0_1E2:100 |
983 | +0_0_1E2:100 |
984 | -0_0_1E2:-100 |
985 | -0_0_1E+0_0_2:-100 |
986 | E1:NaN |
987 | E23:NaN |
988 | 1.23E1:NaN |
989 | 1.23E-1:NaN |
990 | # bug with two E's in number beeing valid |
991 | 1e2e3:NaN |
992 | 1e2r:NaN |
993 | 1e2.0:NaN |
07d34614 |
994 | # bug with two '.' in number beeing valid |
995 | 1.2.2:NaN |
996 | 1.2.3e1:NaN |
997 | -1.2.3:NaN |
998 | -1.2.3e-4:NaN |
999 | 1.2e3.4:NaN |
1000 | 1.2e-3.4:NaN |
1001 | 1.2.3.4:NaN |
1002 | 1.2.t:NaN |
1003 | 1..2:NaN |
1004 | 1..2e1:NaN |
1005 | 1..2e1..1:NaN |
1006 | 12e1..1:NaN |
1007 | ..2:NaN |
1008 | .-2:NaN |
61f5c3f5 |
1009 | # leading zeros |
1010 | 012:12 |
1011 | 0123:123 |
1012 | 01234:1234 |
1013 | 012345:12345 |
1014 | 0123456:123456 |
1015 | 01234567:1234567 |
1016 | 012345678:12345678 |
1017 | 0123456789:123456789 |
1018 | 01234567891:1234567891 |
1019 | 012345678912:12345678912 |
1020 | 0123456789123:123456789123 |
1021 | 01234567891234:1234567891234 |
2d2b2744 |
1022 | # some inputs that result in zero |
1023 | 0e0:0 |
1024 | +0e0:0 |
1025 | +0e+0:0 |
1026 | -0e+0:0 |
1027 | 0e-0:0 |
1028 | -0e-0:0 |
1029 | +0e-0:0 |
1030 | 000:0 |
1031 | 00e2:0 |
1032 | 00e02:0 |
1033 | 000e002:0 |
1034 | 000e1230:0 |
1035 | 00e-3:0 |
1036 | 00e+3:0 |
1037 | 00e-03:0 |
1038 | 00e+03:0 |
1039 | -000:0 |
1040 | -00e2:0 |
1041 | -00e02:0 |
1042 | -000e002:0 |
1043 | -000e1230:0 |
1044 | -00e-3:0 |
1045 | -00e+3:0 |
1046 | -00e-03:0 |
1047 | -00e+03:0 |
027dc388 |
1048 | # normal input |
6854fd01 |
1049 | 0:0 |
1050 | +0:0 |
1051 | +00:0 |
1052 | +000:0 |
1053 | 000000000000000000:0 |
1054 | -0:0 |
1055 | -0000:0 |
1056 | +1:1 |
1057 | +01:1 |
1058 | +001:1 |
1059 | +00000100000:100000 |
1060 | 123456789:123456789 |
1061 | -1:-1 |
1062 | -01:-1 |
1063 | -001:-1 |
1064 | -123456789:-123456789 |
1065 | -00000100000:-100000 |
1066 | 1_2_3:123 |
6854fd01 |
1067 | 10000000000E-1_0:1 |
1068 | 1E2:100 |
1069 | 1E1:10 |
1070 | 1E0:1 |
6854fd01 |
1071 | 1.23E2:123 |
6854fd01 |
1072 | 100E-1:10 |
1073 | # floating point input |
027dc388 |
1074 | # .2e2:20 |
1075 | 1.E3:1000 |
6854fd01 |
1076 | 1.01E2:101 |
1077 | 1010E-1:101 |
1078 | -1010E0:-1010 |
1079 | -1010E1:-10100 |
027dc388 |
1080 | 1234.00:1234 |
1081 | # non-integer numbers |
6854fd01 |
1082 | -1010E-2:NaN |
1083 | -1.01E+1:NaN |
1084 | -1.01E-1:NaN |
6854fd01 |
1085 | &bnan |
1086 | 1:NaN |
1087 | 2:NaN |
1088 | abc:NaN |
1089 | &bone |
61f5c3f5 |
1090 | 2:+:1 |
6854fd01 |
1091 | 2:-:-1 |
1092 | boneNaN:-:-1 |
61f5c3f5 |
1093 | boneNaN:+:1 |
1094 | 2:abc:1 |
1095 | 3::1 |
6854fd01 |
1096 | &binf |
1097 | 1:+:inf |
1098 | 2:-:-inf |
1099 | 3:abc:inf |
027dc388 |
1100 | &is_nan |
1101 | 123:0 |
1102 | abc:1 |
1103 | NaN:1 |
1104 | -123:0 |
6854fd01 |
1105 | &is_inf |
1106 | +inf::1 |
1107 | -inf::1 |
1108 | abc::0 |
1109 | 1::0 |
1110 | NaN::0 |
1111 | -1::0 |
1112 | +inf:-:0 |
1113 | +inf:+:1 |
1114 | -inf:-:1 |
1115 | -inf:+:0 |
79c55733 |
1116 | -inf:-inf:1 |
1117 | -inf:+inf:0 |
1118 | +inf:-inf:0 |
1119 | +inf:+inf:1 |
6854fd01 |
1120 | # it must be exactly /^[+-]inf$/ |
1121 | +infinity::0 |
1122 | -infinity::0 |
1123 | &blsft |
1124 | abc:abc:NaN |
61f5c3f5 |
1125 | +2:+2:8 |
1126 | +1:+32:4294967296 |
1127 | +1:+48:281474976710656 |
6854fd01 |
1128 | +8:-2:NaN |
1129 | # excercise base 10 |
1130 | +12345:4:10:123450000 |
1131 | -1234:0:10:-1234 |
61f5c3f5 |
1132 | +1234:0:10:1234 |
6854fd01 |
1133 | +2:2:10:200 |
1134 | +12:2:10:1200 |
1135 | +1234:-3:10:NaN |
1136 | 1234567890123:12:10:1234567890123000000000000 |
b3abae2a |
1137 | -3:1:2:-6 |
1138 | -5:1:2:-10 |
1139 | -2:1:2:-4 |
1140 | -102533203:1:2:-205066406 |
6854fd01 |
1141 | &brsft |
1142 | abc:abc:NaN |
61f5c3f5 |
1143 | +8:+2:2 |
1144 | +4294967296:+32:1 |
1145 | +281474976710656:+48:1 |
6854fd01 |
1146 | +2:-2:NaN |
1147 | # excercise base 10 |
1148 | -1234:0:10:-1234 |
61f5c3f5 |
1149 | +1234:0:10:1234 |
6854fd01 |
1150 | +200:2:10:2 |
1151 | +1234:3:10:1 |
1152 | +1234:2:10:12 |
1153 | +1234:-3:10:NaN |
1154 | 310000:4:10:31 |
1155 | 12300000:5:10:123 |
1156 | 1230000000000:10:10:123 |
1157 | 09876123456789067890:12:10:9876123 |
1158 | 1234561234567890123:13:10:123456 |
b3abae2a |
1159 | 820265627:1:2:410132813 |
1160 | # test shifting negative numbers in base 2 |
1161 | -15:1:2:-8 |
1162 | -14:1:2:-7 |
1163 | -13:1:2:-7 |
1164 | -12:1:2:-6 |
1165 | -11:1:2:-6 |
1166 | -10:1:2:-5 |
1167 | -9:1:2:-5 |
1168 | -8:1:2:-4 |
1169 | -7:1:2:-4 |
1170 | -6:1:2:-3 |
1171 | -5:1:2:-3 |
1172 | -4:1:2:-2 |
1173 | -3:1:2:-2 |
1174 | -2:1:2:-1 |
1175 | -1:1:2:-1 |
1176 | -1640531254:2:2:-410132814 |
1177 | -1640531254:1:2:-820265627 |
1178 | -820265627:1:2:-410132814 |
1179 | -205066405:1:2:-102533203 |
6854fd01 |
1180 | &bsstr |
56d9de68 |
1181 | +inf:inf |
1182 | -inf:-inf |
6854fd01 |
1183 | 1e+34:1e+34 |
1184 | 123.456E3:123456e+0 |
1185 | 100:1e+2 |
56d9de68 |
1186 | bsstrabc:NaN |
1187 | -5:-5e+0 |
1188 | -100:-1e+2 |
1189 | &numify |
1190 | numifyabc:NaN |
1191 | +inf:inf |
1192 | -inf:-inf |
1193 | 5:5 |
1194 | -5:-5 |
1195 | 100:100 |
1196 | -100:-100 |
6854fd01 |
1197 | &bneg |
1198 | bnegNaN:NaN |
1199 | +inf:-inf |
1200 | -inf:inf |
1201 | abd:NaN |
61f5c3f5 |
1202 | 0:0 |
1203 | 1:-1 |
1204 | -1:1 |
6854fd01 |
1205 | +123456789:-123456789 |
61f5c3f5 |
1206 | -123456789:123456789 |
6854fd01 |
1207 | &babs |
1208 | babsNaN:NaN |
1209 | +inf:inf |
1210 | -inf:inf |
61f5c3f5 |
1211 | 0:0 |
1212 | 1:1 |
1213 | -1:1 |
1214 | +123456789:123456789 |
1215 | -123456789:123456789 |
6854fd01 |
1216 | &bcmp |
1217 | bcmpNaN:bcmpNaN: |
61f5c3f5 |
1218 | bcmpNaN:0: |
1219 | 0:bcmpNaN: |
1220 | 0:0:0 |
1221 | -1:0:-1 |
1222 | 0:-1:1 |
1223 | 1:0:1 |
1224 | 0:1:-1 |
1225 | -1:1:-1 |
1226 | 1:-1:1 |
6854fd01 |
1227 | -1:-1:0 |
61f5c3f5 |
1228 | 1:1:0 |
1229 | 123:123:0 |
1230 | 123:12:1 |
1231 | 12:123:-1 |
6854fd01 |
1232 | -123:-123:0 |
1233 | -123:-12:-1 |
1234 | -12:-123:1 |
61f5c3f5 |
1235 | 123:124:-1 |
1236 | 124:123:1 |
6854fd01 |
1237 | -123:-124:1 |
1238 | -124:-123:-1 |
61f5c3f5 |
1239 | 100:5:1 |
1240 | -123456789:987654321:-1 |
6854fd01 |
1241 | +123456789:-987654321:1 |
61f5c3f5 |
1242 | -987654321:123456789:-1 |
6854fd01 |
1243 | -inf:5432112345:-1 |
1244 | +inf:5432112345:1 |
1245 | -inf:-5432112345:-1 |
1246 | +inf:-5432112345:1 |
1247 | +inf:+inf:0 |
1248 | -inf:-inf:0 |
1249 | +inf:-inf:1 |
1250 | -inf:+inf:-1 |
1251 | 5:inf:-1 |
1252 | 5:inf:-1 |
1253 | -5:-inf:1 |
1254 | -5:-inf:1 |
1255 | # return undef |
1256 | +inf:NaN: |
1257 | NaN:inf: |
1258 | -inf:NaN: |
1259 | NaN:-inf: |
1260 | &binc |
1261 | abc:NaN |
1262 | +inf:inf |
1263 | -inf:-inf |
61f5c3f5 |
1264 | +0:1 |
1265 | +1:2 |
1266 | -1:0 |
6854fd01 |
1267 | &bdec |
1268 | abc:NaN |
1269 | +inf:inf |
1270 | -inf:-inf |
1271 | +0:-1 |
61f5c3f5 |
1272 | +1:0 |
6854fd01 |
1273 | -1:-2 |
1274 | &badd |
1275 | abc:abc:NaN |
61f5c3f5 |
1276 | abc:0:NaN |
6854fd01 |
1277 | +0:abc:NaN |
b3abae2a |
1278 | +inf:-inf:NaN |
1279 | -inf:+inf:NaN |
6854fd01 |
1280 | +inf:+inf:inf |
1281 | -inf:-inf:-inf |
1282 | baddNaN:+inf:NaN |
1283 | baddNaN:+inf:NaN |
1284 | +inf:baddNaN:NaN |
1285 | -inf:baddNaN:NaN |
61f5c3f5 |
1286 | 0:0:0 |
1287 | 1:0:1 |
1288 | 0:1:1 |
1289 | 1:1:2 |
1290 | -1:0:-1 |
1291 | 0:-1:-1 |
6854fd01 |
1292 | -1:-1:-2 |
61f5c3f5 |
1293 | -1:+1:0 |
1294 | +1:-1:0 |
1295 | +9:+1:10 |
1296 | +99:+1:100 |
1297 | +999:+1:1000 |
1298 | +9999:+1:10000 |
1299 | +99999:+1:100000 |
1300 | +999999:+1:1000000 |
1301 | +9999999:+1:10000000 |
1302 | +99999999:+1:100000000 |
1303 | +999999999:+1:1000000000 |
1304 | +9999999999:+1:10000000000 |
1305 | +99999999999:+1:100000000000 |
1306 | +10:-1:9 |
1307 | +100:-1:99 |
1308 | +1000:-1:999 |
1309 | +10000:-1:9999 |
1310 | +100000:-1:99999 |
1311 | +1000000:-1:999999 |
1312 | +10000000:-1:9999999 |
1313 | +100000000:-1:99999999 |
1314 | +1000000000:-1:999999999 |
1315 | +10000000000:-1:9999999999 |
1316 | +123456789:987654321:1111111110 |
1317 | -123456789:987654321:864197532 |
6854fd01 |
1318 | -123456789:-987654321:-1111111110 |
1319 | +123456789:-987654321:-864197532 |
56b9c951 |
1320 | -1:10001:10000 |
1321 | -1:100001:100000 |
1322 | -1:1000001:1000000 |
1323 | -1:10000001:10000000 |
1324 | -1:100000001:100000000 |
1325 | -1:1000000001:1000000000 |
1326 | -1:10000000001:10000000000 |
1327 | -1:100000000001:100000000000 |
1328 | -1:1000000000001:1000000000000 |
1329 | -1:10000000000001:10000000000000 |
1330 | -1:-10001:-10002 |
1331 | -1:-100001:-100002 |
1332 | -1:-1000001:-1000002 |
1333 | -1:-10000001:-10000002 |
1334 | -1:-100000001:-100000002 |
1335 | -1:-1000000001:-1000000002 |
1336 | -1:-10000000001:-10000000002 |
1337 | -1:-100000000001:-100000000002 |
1338 | -1:-1000000000001:-1000000000002 |
1339 | -1:-10000000000001:-10000000000002 |
6854fd01 |
1340 | &bsub |
1341 | abc:abc:NaN |
1342 | abc:+0:NaN |
1343 | +0:abc:NaN |
1344 | +inf:-inf:inf |
1345 | -inf:+inf:-inf |
b3abae2a |
1346 | +inf:+inf:NaN |
1347 | -inf:-inf:NaN |
61f5c3f5 |
1348 | +0:+0:0 |
1349 | +1:+0:1 |
6854fd01 |
1350 | +0:+1:-1 |
61f5c3f5 |
1351 | +1:+1:0 |
6854fd01 |
1352 | -1:+0:-1 |
61f5c3f5 |
1353 | +0:-1:1 |
1354 | -1:-1:0 |
6854fd01 |
1355 | -1:+1:-2 |
61f5c3f5 |
1356 | +1:-1:2 |
1357 | +9:+1:8 |
1358 | +99:+1:98 |
1359 | +999:+1:998 |
1360 | +9999:+1:9998 |
1361 | +99999:+1:99998 |
1362 | +999999:+1:999998 |
1363 | +9999999:+1:9999998 |
1364 | +99999999:+1:99999998 |
1365 | +999999999:+1:999999998 |
1366 | +9999999999:+1:9999999998 |
1367 | +99999999999:+1:99999999998 |
1368 | +10:-1:11 |
1369 | +100:-1:101 |
1370 | +1000:-1:1001 |
1371 | +10000:-1:10001 |
1372 | +100000:-1:100001 |
1373 | +1000000:-1:1000001 |
1374 | +10000000:-1:10000001 |
1375 | +100000000:-1:100000001 |
1376 | +1000000000:-1:1000000001 |
1377 | +10000000000:-1:10000000001 |
6854fd01 |
1378 | +123456789:+987654321:-864197532 |
1379 | -123456789:+987654321:-1111111110 |
61f5c3f5 |
1380 | -123456789:-987654321:864197532 |
1381 | +123456789:-987654321:1111111110 |
56b9c951 |
1382 | 10001:1:10000 |
1383 | 100001:1:100000 |
1384 | 1000001:1:1000000 |
1385 | 10000001:1:10000000 |
1386 | 100000001:1:100000000 |
1387 | 1000000001:1:1000000000 |
1388 | 10000000001:1:10000000000 |
1389 | 100000000001:1:100000000000 |
1390 | 1000000000001:1:1000000000000 |
1391 | 10000000000001:1:10000000000000 |
1392 | 10001:-1:10002 |
1393 | 100001:-1:100002 |
1394 | 1000001:-1:1000002 |
1395 | 10000001:-1:10000002 |
1396 | 100000001:-1:100000002 |
1397 | 1000000001:-1:1000000002 |
1398 | 10000000001:-1:10000000002 |
1399 | 100000000001:-1:100000000002 |
1400 | 1000000000001:-1:1000000000002 |
1401 | 10000000000001:-1:10000000000002 |
80365507 |
1402 | &bmuladd |
1403 | abc:abc:0:NaN |
1404 | abc:+0:0:NaN |
1405 | +0:abc:0:NaN |
1406 | +0:0:abc:NaN |
1407 | NaNmul:+inf:0:NaN |
1408 | NaNmul:-inf:0:NaN |
1409 | -inf:NaNmul:0:NaN |
1410 | +inf:NaNmul:0:NaN |
1411 | +inf:+inf:0:inf |
1412 | +inf:-inf:0:-inf |
1413 | -inf:+inf:0:-inf |
1414 | -inf:-inf:0:inf |
1415 | +0:+0:0:0 |
1416 | +0:+1:0:0 |
1417 | +1:+0:0:0 |
1418 | +0:-1:0:0 |
1419 | -1:+0:0:0 |
1420 | 123456789123456789:0:0:0 |
1421 | 0:123456789123456789:0:0 |
1422 | -1:-1:0:1 |
1423 | -1:-1:0:1 |
1424 | -1:+1:0:-1 |
1425 | +1:-1:0:-1 |
1426 | +1:+1:0:1 |
1427 | +2:+3:0:6 |
1428 | -2:+3:0:-6 |
1429 | +2:-3:0:-6 |
1430 | -2:-3:0:6 |
1431 | 111:111:0:12321 |
1432 | 10101:10101:0:102030201 |
1433 | 1001001:1001001:0:1002003002001 |
1434 | 100010001:100010001:0:10002000300020001 |
1435 | 10000100001:10000100001:0:100002000030000200001 |
1436 | 11111111111:9:0:99999999999 |
1437 | 22222222222:9:0:199999999998 |
1438 | 33333333333:9:0:299999999997 |
1439 | 44444444444:9:0:399999999996 |
1440 | 55555555555:9:0:499999999995 |
1441 | 66666666666:9:0:599999999994 |
1442 | 77777777777:9:0:699999999993 |
1443 | 88888888888:9:0:799999999992 |
1444 | 99999999999:9:0:899999999991 |
1445 | 11111111111:9:1:100000000000 |
1446 | 22222222222:9:1:199999999999 |
1447 | 33333333333:9:1:299999999998 |
1448 | 44444444444:9:1:399999999997 |
1449 | 55555555555:9:1:499999999996 |
1450 | 66666666666:9:1:599999999995 |
1451 | 77777777777:9:1:699999999994 |
1452 | 88888888888:9:1:799999999993 |
1453 | 99999999999:9:1:899999999992 |
1454 | -3:-4:-5:7 |
1455 | 3:-4:-5:-17 |
1456 | -3:4:-5:-17 |
1457 | 3:4:-5:7 |
1458 | -3:4:5:-7 |
1459 | 3:-4:5:-7 |
1460 | 9999999999999999999:10000000000000000000:1234567890:99999999999999999990000000001234567890 |
1461 | 2:3:12345678901234567890:12345678901234567896 |
6854fd01 |
1462 | &bmul |
1463 | abc:abc:NaN |
1464 | abc:+0:NaN |
1465 | +0:abc:NaN |
1466 | NaNmul:+inf:NaN |
1467 | NaNmul:-inf:NaN |
1468 | -inf:NaNmul:NaN |
1469 | +inf:NaNmul:NaN |
1470 | +inf:+inf:inf |
1471 | +inf:-inf:-inf |
1472 | -inf:+inf:-inf |
1473 | -inf:-inf:inf |
61f5c3f5 |
1474 | +0:+0:0 |
1475 | +0:+1:0 |
1476 | +1:+0:0 |
1477 | +0:-1:0 |
1478 | -1:+0:0 |
1479 | 123456789123456789:0:0 |
1480 | 0:123456789123456789:0 |
1481 | -1:-1:1 |
6854fd01 |
1482 | -1:+1:-1 |
1483 | +1:-1:-1 |
61f5c3f5 |
1484 | +1:+1:1 |
1485 | +2:+3:6 |
6854fd01 |
1486 | -2:+3:-6 |
1487 | +2:-3:-6 |
61f5c3f5 |
1488 | -2:-3:6 |
1489 | 111:111:12321 |
1490 | 10101:10101:102030201 |
1491 | 1001001:1001001:1002003002001 |
1492 | 100010001:100010001:10002000300020001 |
1493 | 10000100001:10000100001:100002000030000200001 |
1494 | 11111111111:9:99999999999 |
1495 | 22222222222:9:199999999998 |
1496 | 33333333333:9:299999999997 |
1497 | 44444444444:9:399999999996 |
1498 | 55555555555:9:499999999995 |
1499 | 66666666666:9:599999999994 |
1500 | 77777777777:9:699999999993 |
1501 | 88888888888:9:799999999992 |
1502 | 99999999999:9:899999999991 |
1503 | +25:+25:625 |
1504 | +12345:+12345:152399025 |
1505 | +99999:+11111:1111088889 |
6854fd01 |
1506 | 9999:10000:99990000 |
1507 | 99999:100000:9999900000 |
1508 | 999999:1000000:999999000000 |
1509 | 9999999:10000000:99999990000000 |
1510 | 99999999:100000000:9999999900000000 |
1511 | 999999999:1000000000:999999999000000000 |
1512 | 9999999999:10000000000:99999999990000000000 |
1513 | 99999999999:100000000000:9999999999900000000000 |
1514 | 999999999999:1000000000000:999999999999000000000000 |
1515 | 9999999999999:10000000000000:99999999999990000000000000 |
1516 | 99999999999999:100000000000000:9999999999999900000000000000 |
1517 | 999999999999999:1000000000000000:999999999999999000000000000000 |
1518 | 9999999999999999:10000000000000000:99999999999999990000000000000000 |
1519 | 99999999999999999:100000000000000000:9999999999999999900000000000000000 |
1520 | 999999999999999999:1000000000000000000:999999999999999999000000000000000000 |
1521 | 9999999999999999999:10000000000000000000:99999999999999999990000000000000000000 |
1522 | &bdiv-list |
1523 | 100:20:5,0 |
1524 | 4095:4095:1,0 |
1525 | -4095:-4095:1,0 |
1526 | 4095:-4095:-1,0 |
1527 | -4095:4095:-1,0 |
1528 | 123:2:61,1 |
b3abae2a |
1529 | 9:5:1,4 |
1530 | 9:4:2,1 |
6854fd01 |
1531 | # inf handling and general remainder |
1532 | 5:8:0,5 |
1533 | 0:8:0,0 |
1534 | 11:2:5,1 |
1535 | 11:-2:-5,-1 |
1536 | -11:2:-5,1 |
1537 | # see table in documentation in MBI |
1538 | 0:inf:0,0 |
1539 | 0:-inf:0,0 |
1540 | 5:inf:0,5 |
1541 | 5:-inf:0,5 |
1542 | -5:inf:0,-5 |
1543 | -5:-inf:0,-5 |
1544 | inf:5:inf,0 |
1545 | -inf:5:-inf,0 |
1546 | inf:-5:-inf,0 |
1547 | -inf:-5:inf,0 |
1548 | 5:5:1,0 |
1549 | -5:-5:1,0 |
b3abae2a |
1550 | inf:inf:NaN,NaN |
1551 | -inf:-inf:NaN,NaN |
1552 | -inf:inf:NaN,NaN |
1553 | inf:-inf:NaN,NaN |
6854fd01 |
1554 | 8:0:inf,8 |
1555 | inf:0:inf,inf |
1556 | # exceptions to reminder rule |
1557 | -8:0:-inf,-8 |
1558 | -inf:0:-inf,-inf |
1559 | 0:0:NaN,NaN |
990fb837 |
1560 | # test the shortcut in Calc if @$x == @$yorg |
1561 | 1234567812345678:123456712345678:10,688888898 |
1562 | 12345671234567:1234561234567:10,58888897 |
1563 | 123456123456:12345123456:10,4888896 |
1564 | 1234512345:123412345:10,388895 |
1565 | 1234567890999999999:1234567890:1000000000,999999999 |
1566 | 1234567890000000000:1234567890:1000000000,0 |
1567 | 1234567890999999999:9876543210:124999998,9503086419 |
1568 | 1234567890000000000:9876543210:124999998,8503086420 |
1569 | 96969696969696969696969696969678787878626262626262626262626262:484848484848484848484848486666666666666689898989898989898989:199,484848484848484848484848123012121211954972727272727272727451 |
7596a890 |
1570 | # bug in v1.76 |
1571 | 1267650600228229401496703205375:1267650600228229401496703205376:0,1267650600228229401496703205375 |
b68b7ab1 |
1572 | # excercise shortcut for numbers of the same length in div |
1573 | 999999999999999999999999999999999:999999999999999999999999999999999:1,0 |
1574 | 999999999999999999999999999999999:888888888888888888888888888888888:1,111111111111111111111111111111111 |
1575 | 999999999999999999999999999999999:777777777777777777777777777777777:1,222222222222222222222222222222222 |
1576 | 999999999999999999999999999999999:666666666666666666666666666666666:1,333333333333333333333333333333333 |
1577 | 999999999999999999999999999999999:555555555555555555555555555555555:1,444444444444444444444444444444444 |
1578 | 999999999999999999999999999999999:444444444444444444444444444444444:2,111111111111111111111111111111111 |
1579 | 999999999999999999999999999999999:333333333333333333333333333333333:3,0 |
1580 | 999999999999999999999999999999999:222222222222222222222222222222222:4,111111111111111111111111111111111 |
1581 | 999999999999999999999999999999999:111111111111111111111111111111111:9,0 |
1582 | 9999999_9999999_9999999_9999999:3333333_3333333_3333333_3333333:3,0 |
1583 | 9999999_9999999_9999999_9999999:3333333_0000000_0000000_0000000:3,999999999999999999999 |
1584 | 9999999_9999999_9999999_9999999:3000000_0000000_0000000_0000000:3,999999999999999999999999999 |
1585 | 9999999_9999999_9999999_9999999:2000000_0000000_0000000_0000000:4,1999999999999999999999999999 |
1586 | 9999999_9999999_9999999_9999999:1000000_0000000_0000000_0000000:9,999999999999999999999999999 |
1587 | 9999999_9999999_9999999_9999999:100000_0000000_0000000_0000000:99,99999999999999999999999999 |
1588 | 9999999_9999999_9999999_9999999:10000_0000000_0000000_0000000:999,9999999999999999999999999 |
1589 | 9999999_9999999_9999999_9999999:1000_0000000_0000000_0000000:9999,999999999999999999999999 |
1590 | 9999999_9999999_9999999_9999999:100_0000000_0000000_0000000:99999,99999999999999999999999 |
1591 | 9999999_9999999_9999999_9999999:10_0000000_0000000_0000000:999999,9999999999999999999999 |
1592 | 9999999_9999999_9999999_9999999:1_0000000_0000000_0000000:9999999,999999999999999999999 |
6854fd01 |
1593 | &bdiv |
1594 | abc:abc:NaN |
61f5c3f5 |
1595 | abc:1:NaN |
1596 | 1:abc:NaN |
1597 | 0:0:NaN |
6854fd01 |
1598 | # inf handling (see table in doc) |
1599 | 0:inf:0 |
1600 | 0:-inf:0 |
1601 | 5:inf:0 |
1602 | 5:-inf:0 |
1603 | -5:inf:0 |
1604 | -5:-inf:0 |
1605 | inf:5:inf |
1606 | -inf:5:-inf |
1607 | inf:-5:-inf |
1608 | -inf:-5:inf |
1609 | 5:5:1 |
1610 | -5:-5:1 |
b3abae2a |
1611 | inf:inf:NaN |
1612 | -inf:-inf:NaN |
1613 | -inf:inf:NaN |
1614 | inf:-inf:NaN |
6854fd01 |
1615 | 8:0:inf |
1616 | inf:0:inf |
1617 | -8:0:-inf |
1618 | -inf:0:-inf |
1619 | 0:0:NaN |
1620 | 11:2:5 |
1621 | -11:-2:5 |
1622 | -11:2:-5 |
1623 | 11:-2:-5 |
61f5c3f5 |
1624 | 0:1:0 |
1625 | 0:-1:0 |
1626 | 1:1:1 |
1627 | -1:-1:1 |
1628 | 1:-1:-1 |
1629 | -1:1:-1 |
1630 | 1:2:0 |
1631 | 2:1:2 |
1632 | 1:26:0 |
1633 | 1000000000:9:111111111 |
1634 | 2000000000:9:222222222 |
1635 | 3000000000:9:333333333 |
1636 | 4000000000:9:444444444 |
1637 | 5000000000:9:555555555 |
1638 | 6000000000:9:666666666 |
1639 | 7000000000:9:777777777 |
1640 | 8000000000:9:888888888 |
1641 | 9000000000:9:1000000000 |
1642 | 35500000:113:314159 |
1643 | 71000000:226:314159 |
1644 | 106500000:339:314159 |
1645 | 1000000000:3:333333333 |
1646 | +10:+5:2 |
1647 | +100:+4:25 |
1648 | +1000:+8:125 |
1649 | +10000:+16:625 |
1650 | 999999999999:9:111111111111 |
1651 | 999999999999:99:10101010101 |
1652 | 999999999999:999:1001001001 |
1653 | 999999999999:9999:100010001 |
1654 | 999999999999999:99999:10000100001 |
1655 | +1111088889:99999:11111 |
6854fd01 |
1656 | -5:-3:1 |
1657 | -5:3:-1 |
1658 | 4:3:1 |
1659 | 4:-3:-1 |
1660 | 1:3:0 |
1661 | 1:-3:0 |
1662 | -2:-3:0 |
1663 | -2:3:0 |
1664 | 8:3:2 |
1665 | -8:3:-2 |
1666 | 14:-3:-4 |
1667 | -14:3:-4 |
1668 | -14:-3:4 |
1669 | 14:3:4 |
1670 | # bug in Calc with '99999' vs $BASE-1 |
1671 | 10000000000000000000000000000000000000000000000000000000000000000000000000000000000:10000000375084540248994272022843165711074:999999962491547381984643365663244474111576 |
990fb837 |
1672 | # test the shortcut in Calc if @$x == @$yorg |
1673 | 1234567812345678:123456712345678:10 |
1674 | 12345671234567:1234561234567:10 |
1675 | 123456123456:12345123456:10 |
1676 | 1234512345:123412345:10 |
1677 | 1234567890999999999:1234567890:1000000000 |
1678 | 1234567890000000000:1234567890:1000000000 |
1679 | 1234567890999999999:9876543210:124999998 |
1680 | 1234567890000000000:9876543210:124999998 |
1681 | 96969696969696969696969696969678787878626262626262626262626262:484848484848484848484848486666666666666689898989898989898989:199 |
aef458a0 |
1682 | # bug up to v0.35 in Calc (--$q one too many) |
1683 | 84696969696969696956565656566184292929292929292847474747436308080808080808086765396464646464646465:13131313131313131313131313131394949494949494949494949494943535353535353535353535:6449999999999999999 |
1684 | 84696969696969696943434343434871161616161616161452525252486813131313131313143230042929292929292930:13131313131313131313131313131394949494949494949494949494943535353535353535353535:6449999999999999998 |
1685 | 84696969696969696969696969697497424242424242424242424242385803030303030303030300750000000000000000:13131313131313131313131313131394949494949494949494949494943535353535353535353535:6450000000000000000 |
1686 | 84696969696969696930303030303558030303030303030057575757537318181818181818199694689393939393939395:13131313131313131313131313131394949494949494949494949494943535353535353535353535:6449999999999999997 |
b68b7ab1 |
1687 | # excercise shortcut for numbers of the same length in div |
1688 | 999999999999999999999999999999999:999999999999999999999999999999999:1 |
1689 | 999999999999999999999999999999999:888888888888888888888888888888888:1 |
1690 | 999999999999999999999999999999999:777777777777777777777777777777777:1 |
1691 | 999999999999999999999999999999999:666666666666666666666666666666666:1 |
1692 | 999999999999999999999999999999999:555555555555555555555555555555555:1 |
1693 | 999999999999999999999999999999999:444444444444444444444444444444444:2 |
1694 | 999999999999999999999999999999999:333333333333333333333333333333333:3 |
1695 | 999999999999999999999999999999999:222222222222222222222222222222222:4 |
1696 | 999999999999999999999999999999999:111111111111111111111111111111111:9 |
1697 | 9999999_9999999_9999999_9999999:3333333_3333333_3333333_3333333:3 |
1698 | 9999999_9999999_9999999_9999999:3333333_0000000_0000000_0000000:3 |
1699 | 9999999_9999999_9999999_9999999:3000000_0000000_0000000_0000000:3 |
1700 | 9999999_9999999_9999999_9999999:2000000_0000000_0000000_0000000:4 |
1701 | 9999999_9999999_9999999_9999999:1000000_0000000_0000000_0000000:9 |
1702 | 9999999_9999999_9999999_9999999:100000_0000000_0000000_0000000:99 |
1703 | 9999999_9999999_9999999_9999999:10000_0000000_0000000_0000000:999 |
1704 | 9999999_9999999_9999999_9999999:1000_0000000_0000000_0000000:9999 |
1705 | 9999999_9999999_9999999_9999999:100_0000000_0000000_0000000:99999 |
1706 | 9999999_9999999_9999999_9999999:10_0000000_0000000_0000000:999999 |
1707 | 9999999_9999999_9999999_9999999:1_0000000_0000000_0000000:9999999 |
a87115f0 |
1708 | # bug with shortcut in Calc 0.44 |
1709 | 949418181818187070707070707070707070:181818181853535353535353535353535353:5 |
07d34614 |
1710 | &bmodinv |
1711 | # format: number:modulus:result |
1712 | # bmodinv Data errors |
1713 | abc:abc:NaN |
1714 | abc:5:NaN |
1715 | 5:abc:NaN |
1716 | # bmodinv Expected Results from normal use |
1717 | 1:5:1 |
1718 | 3:5:2 |
1719 | -2:5:2 |
1720 | 8:5033:4404 |
56d9de68 |
1721 | 1234567891:13:6 |
1722 | -1234567891:13:7 |
07d34614 |
1723 | 324958749843759385732954874325984357439658735983745:2348249874968739:1741662881064902 |
d614cd8b |
1724 | ## bmodinv Error cases / useless use of function |
07d34614 |
1725 | 3:-5:NaN |
1726 | inf:5:NaN |
1ddff52a |
1727 | 5:inf:NaN |
1728 | -inf:5:NaN |
1729 | 5:-inf:NaN |
07d34614 |
1730 | &bmodpow |
1731 | # format: number:exponent:modulus:result |
1732 | # bmodpow Data errors |
1733 | abc:abc:abc:NaN |
1734 | 5:abc:abc:NaN |
1735 | abc:5:abc:NaN |
1736 | abc:abc:5:NaN |
1737 | 5:5:abc:NaN |
1738 | 5:abc:5:NaN |
1739 | abc:5:5:NaN |
1740 | # bmodpow Expected results |
1741 | 0:0:2:1 |
1742 | 1:0:2:1 |
1743 | 0:0:1:0 |
1744 | 8:7:5032:3840 |
1745 | 8:-1:5033:4404 |
1746 | 98436739867439843769485798542749827593285729587325:43698764986460981048259837659386739857456983759328457:6943857329857295827698367:3104744730915914415259518 |
1747 | # bmodpow Error cases |
1748 | 8:8:-5:NaN |
1749 | 8:-1:16:NaN |
1750 | inf:5:13:NaN |
1751 | 5:inf:13:NaN |
6854fd01 |
1752 | &bmod |
1753 | # inf handling, see table in doc |
1754 | 0:inf:0 |
1755 | 0:-inf:0 |
1756 | 5:inf:5 |
1757 | 5:-inf:5 |
1758 | -5:inf:-5 |
1759 | -5:-inf:-5 |
1760 | inf:5:0 |
1761 | -inf:5:0 |
1762 | inf:-5:0 |
1763 | -inf:-5:0 |
1764 | 5:5:0 |
1765 | -5:-5:0 |
b3abae2a |
1766 | inf:inf:NaN |
1767 | -inf:-inf:NaN |
1768 | -inf:inf:NaN |
1769 | inf:-inf:NaN |
6854fd01 |
1770 | 8:0:8 |
1771 | inf:0:inf |
1772 | # exceptions to reminder rule |
1773 | -inf:0:-inf |
1774 | -8:0:-8 |
1775 | 0:0:NaN |
1776 | abc:abc:NaN |
61f5c3f5 |
1777 | abc:1:abc:NaN |
1778 | 1:abc:NaN |
1779 | 0:0:NaN |
1780 | 0:1:0 |
1781 | 1:0:1 |
1782 | 0:-1:0 |
1783 | -1:0:-1 |
1784 | 1:1:0 |
1785 | -1:-1:0 |
1786 | 1:-1:0 |
1787 | -1:1:0 |
1788 | 1:2:1 |
1789 | 2:1:0 |
1790 | 1000000000:9:1 |
1791 | 2000000000:9:2 |
1792 | 3000000000:9:3 |
1793 | 4000000000:9:4 |
1794 | 5000000000:9:5 |
1795 | 6000000000:9:6 |
1796 | 7000000000:9:7 |
1797 | 8000000000:9:8 |
1798 | 9000000000:9:0 |
1799 | 35500000:113:33 |
1800 | 71000000:226:66 |
1801 | 106500000:339:99 |
1802 | 1000000000:3:1 |
1803 | 10:5:0 |
1804 | 100:4:0 |
1805 | 1000:8:0 |
1806 | 10000:16:0 |
1807 | 999999999999:9:0 |
1808 | 999999999999:99:0 |
1809 | 999999999999:999:0 |
1810 | 999999999999:9999:0 |
1811 | 999999999999999:99999:0 |
1812 | -9:+5:1 |
6854fd01 |
1813 | +9:-5:-1 |
1814 | -9:-5:-4 |
1815 | -5:3:1 |
1816 | -2:3:1 |
1817 | 4:3:1 |
1818 | 1:3:1 |
1819 | -5:-3:-2 |
1820 | -2:-3:-2 |
1821 | 4:-3:-2 |
1822 | 1:-3:-2 |
1823 | 4095:4095:0 |
027dc388 |
1824 | 100041000510123:3:0 |
1825 | 152403346:12345:4321 |
b3abae2a |
1826 | 9:5:4 |
28df3e88 |
1827 | # test shortcuts in Calc |
1828 | # 1ex % 9 is always == 1, 1ex % 113 is != 1 for x = (4..9), 1ex % 10 = 0 |
1829 | 1234:9:1 |
1830 | 123456:9:3 |
1831 | 12345678:9:0 |
1832 | 1234567891:9:1 |
1833 | 123456789123:9:6 |
1834 | 12345678912345:9:6 |
1835 | 1234567891234567:9:1 |
1836 | 123456789123456789:9:0 |
1837 | 1234:10:4 |
1838 | 123456:10:6 |
1839 | 12345678:10:8 |
1840 | 1234567891:10:1 |
1841 | 123456789123:10:3 |
1842 | 12345678912345:10:5 |
1843 | 1234567891234567:10:7 |
1844 | 123456789123456789:10:9 |
1845 | 1234:113:104 |
1846 | 123456:113:60 |
1847 | 12345678:113:89 |
1848 | 1234567891:113:64 |
1849 | 123456789123:113:95 |
1850 | 12345678912345:113:53 |
1851 | 1234567891234567:113:56 |
1852 | 123456789123456789:113:39 |
07d34614 |
1853 | # bug in bmod() not modifying the variable in place |
1854 | -629:5033:4404 |
aef458a0 |
1855 | # bug in bmod() in Calc in the _div_use_div() shortcut code path, |
1856 | # when X == X and X was big |
1857 | 111111111111111111111111111111:111111111111111111111111111111:0 |
1858 | 12345678901234567890:12345678901234567890:0 |
6854fd01 |
1859 | &bgcd |
9b924220 |
1860 | inf:12:NaN |
1861 | -inf:12:NaN |
1862 | 12:inf:NaN |
1863 | 12:-inf:NaN |
1864 | inf:inf:NaN |
1865 | inf:-inf:NaN |
1866 | -inf:-inf:NaN |
6854fd01 |
1867 | abc:abc:NaN |
1868 | abc:+0:NaN |
1869 | +0:abc:NaN |
61f5c3f5 |
1870 | +0:+0:0 |
1871 | +0:+1:1 |
1872 | +1:+0:1 |
1873 | +1:+1:1 |
1874 | +2:+3:1 |
1875 | +3:+2:1 |
1876 | -3:+2:1 |
9b924220 |
1877 | -3:-2:1 |
1878 | -144:-60:12 |
1879 | 144:-60:12 |
1880 | 144:60:12 |
61f5c3f5 |
1881 | 100:625:25 |
1882 | 4096:81:1 |
1883 | 1034:804:2 |
1884 | 27:90:56:1 |
1885 | 27:90:54:9 |
6854fd01 |
1886 | &blcm |
1887 | abc:abc:NaN |
1888 | abc:+0:NaN |
1889 | +0:abc:NaN |
1890 | +0:+0:NaN |
61f5c3f5 |
1891 | +1:+0:0 |
1892 | +0:+1:0 |
1893 | +27:+90:270 |
1894 | +1034:+804:415668 |
6854fd01 |
1895 | &band |
1896 | abc:abc:NaN |
1897 | abc:0:NaN |
1898 | 0:abc:NaN |
1899 | 1:2:0 |
1900 | 3:2:2 |
61f5c3f5 |
1901 | +8:+2:0 |
1902 | +281474976710656:0:0 |
1903 | +281474976710656:1:0 |
1904 | +281474976710656:+281474976710656:281474976710656 |
9b924220 |
1905 | 281474976710656:-1:281474976710656 |
6854fd01 |
1906 | -2:-3:-4 |
1907 | -1:-1:-1 |
1908 | -6:-6:-6 |
1909 | -7:-4:-8 |
1910 | -7:4:0 |
1911 | -4:7:4 |
9b924220 |
1912 | # negative argument is bitwise shorter than positive [perl #26559] |
1913 | 30:-3:28 |
1914 | 123:-1:123 |
394e6ffb |
1915 | # equal arguments are treated special, so also do some test with unequal ones |
1916 | 0xFFFF:0xFFFF:0x0xFFFF |
1917 | 0xFFFFFF:0xFFFFFF:0x0xFFFFFF |
1918 | 0xFFFFFFFF:0xFFFFFFFF:0x0xFFFFFFFF |
1919 | 0xFFFFFFFFFF:0xFFFFFFFFFF:0x0xFFFFFFFFFF |
1920 | 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF |
1921 | 0xF0F0:0xF0F0:0x0xF0F0 |
1922 | 0x0F0F:0x0F0F:0x0x0F0F |
1923 | 0xF0F0F0:0xF0F0F0:0x0xF0F0F0 |
1924 | 0x0F0F0F:0x0F0F0F:0x0x0F0F0F |
1925 | 0xF0F0F0F0:0xF0F0F0F0:0x0xF0F0F0F0 |
1926 | 0x0F0F0F0F:0x0F0F0F0F:0x0x0F0F0F0F |
1927 | 0xF0F0F0F0F0:0xF0F0F0F0F0:0x0xF0F0F0F0F0 |
1928 | 0x0F0F0F0F0F:0x0F0F0F0F0F:0x0x0F0F0F0F0F |
1929 | 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0x0xF0F0F0F0F0F0 |
1930 | 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0x0x0F0F0F0F0F0F |
1931 | 0x1F0F0F0F0F0F:0x3F0F0F0F0F0F:0x0x1F0F0F0F0F0F |
6854fd01 |
1932 | &bior |
1933 | abc:abc:NaN |
1934 | abc:0:NaN |
1935 | 0:abc:NaN |
1936 | 1:2:3 |
61f5c3f5 |
1937 | +8:+2:10 |
1938 | +281474976710656:0:281474976710656 |
1939 | +281474976710656:1:281474976710657 |
1940 | +281474976710656:281474976710656:281474976710656 |
6854fd01 |
1941 | -2:-3:-1 |
1942 | -1:-1:-1 |
1943 | -6:-6:-6 |
1944 | -7:4:-3 |
1945 | -4:7:-1 |
9b924220 |
1946 | +281474976710656:-1:-1 |
1947 | 30:-3:-1 |
1948 | 30:-4:-2 |
1949 | 300:-76:-68 |
1950 | -76:300:-68 |
394e6ffb |
1951 | # equal arguments are treated special, so also do some test with unequal ones |
1952 | 0xFFFF:0xFFFF:0x0xFFFF |
1953 | 0xFFFFFF:0xFFFFFF:0x0xFFFFFF |
1954 | 0xFFFFFFFF:0xFFFFFFFF:0x0xFFFFFFFF |
1955 | 0xFFFFFFFFFF:0xFFFFFFFFFF:0x0xFFFFFFFFFF |
1956 | 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF |
1957 | 0:0xFFFF:0x0xFFFF |
1958 | 0:0xFFFFFF:0x0xFFFFFF |
1959 | 0:0xFFFFFFFF:0x0xFFFFFFFF |
1960 | 0:0xFFFFFFFFFF:0x0xFFFFFFFFFF |
1961 | 0:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF |
1962 | 0xFFFF:0:0x0xFFFF |
1963 | 0xFFFFFF:0:0x0xFFFFFF |
1964 | 0xFFFFFFFF:0:0x0xFFFFFFFF |
1965 | 0xFFFFFFFFFF:0:0x0xFFFFFFFFFF |
1966 | 0xFFFFFFFFFFFF:0:0x0xFFFFFFFFFFFF |
1967 | 0xF0F0:0xF0F0:0x0xF0F0 |
1968 | 0x0F0F:0x0F0F:0x0x0F0F |
1969 | 0xF0F0:0x0F0F:0x0xFFFF |
1970 | 0xF0F0F0:0xF0F0F0:0x0xF0F0F0 |
1971 | 0x0F0F0F:0x0F0F0F:0x0x0F0F0F |
1972 | 0x0F0F0F:0xF0F0F0:0x0xFFFFFF |
1973 | 0xF0F0F0F0:0xF0F0F0F0:0x0xF0F0F0F0 |
1974 | 0x0F0F0F0F:0x0F0F0F0F:0x0x0F0F0F0F |
1975 | 0x0F0F0F0F:0xF0F0F0F0:0x0xFFFFFFFF |
1976 | 0xF0F0F0F0F0:0xF0F0F0F0F0:0x0xF0F0F0F0F0 |
1977 | 0x0F0F0F0F0F:0x0F0F0F0F0F:0x0x0F0F0F0F0F |
1978 | 0x0F0F0F0F0F:0xF0F0F0F0F0:0x0xFFFFFFFFFF |
1979 | 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0x0xF0F0F0F0F0F0 |
1980 | 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0x0x0F0F0F0F0F0F |
1981 | 0x0F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF |
1982 | 0x1F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF |
6854fd01 |
1983 | &bxor |
1984 | abc:abc:NaN |
1985 | abc:0:NaN |
1986 | 0:abc:NaN |
1987 | 1:2:3 |
61f5c3f5 |
1988 | +8:+2:10 |
1989 | +281474976710656:0:281474976710656 |
1990 | +281474976710656:1:281474976710657 |
1991 | +281474976710656:281474976710656:0 |
6854fd01 |
1992 | -2:-3:3 |
1993 | -1:-1:0 |
1994 | -6:-6:0 |
1995 | -7:4:-3 |
1996 | -4:7:-5 |
1997 | 4:-7:-3 |
1998 | -4:-7:5 |
9b924220 |
1999 | 30:-3:-29 |
2000 | 30:-4:-30 |
2001 | 300:-76:-360 |
2002 | -76:300:-360 |
394e6ffb |
2003 | # equal arguments are treated special, so also do some test with unequal ones |
2004 | 0xFFFF:0xFFFF:0 |
2005 | 0xFFFFFF:0xFFFFFF:0 |
2006 | 0xFFFFFFFF:0xFFFFFFFF:0 |
2007 | 0xFFFFFFFFFF:0xFFFFFFFFFF:0 |
2008 | 0xFFFFFFFFFFFF:0xFFFFFFFFFFFF:0 |
2009 | 0:0xFFFF:0x0xFFFF |
2010 | 0:0xFFFFFF:0x0xFFFFFF |
2011 | 0:0xFFFFFFFF:0x0xFFFFFFFF |
2012 | 0:0xFFFFFFFFFF:0x0xFFFFFFFFFF |
2013 | 0:0xFFFFFFFFFFFF:0x0xFFFFFFFFFFFF |
2014 | 0xFFFF:0:0x0xFFFF |
2015 | 0xFFFFFF:0:0x0xFFFFFF |
2016 | 0xFFFFFFFF:0:0x0xFFFFFFFF |
2017 | 0xFFFFFFFFFF:0:0x0xFFFFFFFFFF |
2018 | 0xFFFFFFFFFFFF:0:0x0xFFFFFFFFFFFF |
2019 | 0xF0F0:0xF0F0:0 |
2020 | 0x0F0F:0x0F0F:0 |
2021 | 0xF0F0:0x0F0F:0x0xFFFF |
2022 | 0xF0F0F0:0xF0F0F0:0 |
2023 | 0x0F0F0F:0x0F0F0F:0 |
2024 | 0x0F0F0F:0xF0F0F0:0x0xFFFFFF |
2025 | 0xF0F0F0F0:0xF0F0F0F0:0 |
2026 | 0x0F0F0F0F:0x0F0F0F0F:0 |
2027 | 0x0F0F0F0F:0xF0F0F0F0:0x0xFFFFFFFF |
2028 | 0xF0F0F0F0F0:0xF0F0F0F0F0:0 |
2029 | 0x0F0F0F0F0F:0x0F0F0F0F0F:0 |
2030 | 0x0F0F0F0F0F:0xF0F0F0F0F0:0x0xFFFFFFFFFF |
2031 | 0xF0F0F0F0F0F0:0xF0F0F0F0F0F0:0 |
2032 | 0x0F0F0F0F0F0F:0x0F0F0F0F0F0F:0 |
2033 | 0x0F0F0F0F0F0F:0xF0F0F0F0F0F0:0x0xFFFFFFFFFFFF |
6854fd01 |
2034 | &bnot |
2035 | abc:NaN |
2036 | +0:-1 |
2037 | +8:-9 |
2038 | +281474976710656:-281474976710657 |
2039 | -1:0 |
2040 | -2:1 |
2041 | -12:11 |
2042 | &digit |
2043 | 0:0:0 |
2044 | 12:0:2 |
2045 | 12:1:1 |
2046 | 123:0:3 |
2047 | 123:1:2 |
2048 | 123:2:1 |
2049 | 123:-1:1 |
2050 | 123:-2:2 |
2051 | 123:-3:3 |
2052 | 123456:0:6 |
2053 | 123456:1:5 |
2054 | 123456:2:4 |
2055 | 123456:3:3 |
2056 | 123456:4:2 |
2057 | 123456:5:1 |
2058 | 123456:-1:1 |
2059 | 123456:-2:2 |
2060 | 123456:-3:3 |
2061 | 100000:-3:0 |
2062 | 100000:0:0 |
2063 | 100000:1:0 |
2064 | &mantissa |
2065 | abc:NaN |
2066 | 1e4:1 |
2067 | 2e0:2 |
2068 | 123:123 |
2069 | -1:-1 |
2070 | -2:-2 |
2071 | +inf:inf |
2072 | -inf:-inf |
2073 | &exponent |
2074 | abc:NaN |
2075 | 1e4:4 |
2076 | 2e0:0 |
2077 | 123:0 |
2078 | -1:0 |
2079 | -2:0 |
2080 | 0:1 |
2081 | +inf:inf |
2082 | -inf:inf |
2083 | &parts |
2084 | abc:NaN,NaN |
2085 | 1e4:1,4 |
2086 | 2e0:2,0 |
2087 | 123:123,0 |
2088 | -1:-1,0 |
2089 | -2:-2,0 |
2090 | 0:0,1 |
2091 | +inf:inf,inf |
2092 | -inf:-inf,inf |
b3abae2a |
2093 | &bfac |
2094 | -1:NaN |
2095 | NaNfac:NaN |
b282a552 |
2096 | +inf:inf |
b3abae2a |
2097 | -inf:NaN |
2098 | 0:1 |
2099 | 1:1 |
2100 | 2:2 |
2101 | 3:6 |
2102 | 4:24 |
2103 | 5:120 |
2104 | 6:720 |
990fb837 |
2105 | 7:5040 |
2106 | 8:40320 |
2107 | 9:362880 |
b3abae2a |
2108 | 10:3628800 |
2109 | 11:39916800 |
2110 | 12:479001600 |
50109ad0 |
2111 | 20:2432902008176640000 |
2112 | 22:1124000727777607680000 |
2113 | 69:171122452428141311372468338881272839092270544893520369393648040923257279754140647424000000000000000 |
6854fd01 |
2114 | &bpow |
2115 | abc:12:NaN |
2116 | 12:abc:NaN |
2117 | 0:0:1 |
2118 | 0:1:0 |
2119 | 0:2:0 |
9b924220 |
2120 | 0:-1:inf |
2121 | 0:-2:inf |
6854fd01 |
2122 | 1:0:1 |
2123 | 1:1:1 |
2124 | 1:2:1 |
2125 | 1:3:1 |
2126 | 1:-1:1 |
2127 | 1:-2:1 |
2128 | 1:-3:1 |
2129 | 2:0:1 |
2130 | 2:1:2 |
2131 | 2:2:4 |
2132 | 2:3:8 |
2133 | 3:3:27 |
2d2b2744 |
2134 | -2:2:4 |
2135 | -2:3:-8 |
2136 | -2:4:16 |
2137 | -2:5:-32 |
6854fd01 |
2138 | 2:-1:NaN |
2139 | -2:-1:NaN |
2140 | 2:-2:NaN |
2141 | -2:-2:NaN |
2d2b2744 |
2142 | # inf tests |
6854fd01 |
2143 | +inf:1234500012:inf |
2d2b2744 |
2144 | -inf:1234500012:inf |
2145 | -inf:1234500013:-inf |
6854fd01 |
2146 | +inf:-12345000123:inf |
2147 | -inf:-12345000123:-inf |
2d2b2744 |
2148 | # -inf * -inf = inf |
2149 | -inf:2:inf |
2150 | -inf:0:NaN |
2151 | -inf:-1:0 |
2152 | -inf:inf:NaN |
2153 | 2:inf:inf |
2154 | 2:-inf:0 |
2155 | 0:inf:0 |
2156 | 0:-inf:inf |
2157 | -1:-inf:NaN |
2158 | -1:inf:NaN |
2159 | -2:inf:NaN |
2160 | -2:-inf:0 |
2161 | NaN:inf:NaN |
2162 | NaN:-inf:NaN |
2163 | -inf:NaN:NaN |
2164 | inf:NaN:NaN |
2165 | inf:-inf:NaN |
2166 | 1:inf:1 |
2167 | 1:-inf:1 |
6854fd01 |
2168 | # 1 ** -x => 1 / (1 ** x) |
2169 | -1:0:1 |
2170 | -2:0:1 |
2171 | -1:1:-1 |
2172 | -1:2:1 |
2173 | -1:3:-1 |
2174 | -1:4:1 |
2175 | -1:5:-1 |
2176 | -1:-1:-1 |
2177 | -1:-2:1 |
2178 | -1:-3:-1 |
2179 | -1:-4:1 |
2180 | 10:2:100 |
2181 | 10:3:1000 |
2182 | 10:4:10000 |
2183 | 10:5:100000 |
2184 | 10:6:1000000 |
2185 | 10:7:10000000 |
2186 | 10:8:100000000 |
2187 | 10:9:1000000000 |
2188 | 10:20:100000000000000000000 |
2189 | 123456:2:15241383936 |
9b924220 |
2190 | -2:2:4 |
2191 | -2:3:-8 |
2192 | -2:4:16 |
2193 | -2:5:-32 |
2194 | -3:2:9 |
2195 | -3:3:-27 |
2196 | -3:4:81 |
2197 | -3:5:-243 |
6854fd01 |
2198 | &length |
2199 | 100:3 |
2200 | 10:2 |
2201 | 1:1 |
2202 | 0:1 |
2203 | 12345:5 |
2204 | 10000000000000000:17 |
2205 | -123:3 |
2206 | 215960156869840440586892398248:30 |
990fb837 |
2207 | &broot |
2208 | # sqrt() |
2209 | +0:2:0 |
2210 | +1:2:1 |
2211 | -1:2:NaN |
2212 | # -$x ** (1/2) => -$y, but not in froot() |
2213 | -123:2:NaN |
2214 | +inf:2:inf |
2215 | -inf:2:NaN |
2216 | 2:2:1 |
2217 | -2:2:NaN |
2218 | 4:2:2 |
2219 | 9:2:3 |
2220 | 16:2:4 |
2221 | 100:2:10 |
2222 | 123:2:11 |
2223 | 15241:2:123 |
2224 | 144:2:12 |
2225 | 12:2:3 |
2226 | 0.49:2:0 |
2227 | 0.0049:2:0 |
2228 | # invalid ones |
2229 | 1:NaN:NaN |
2230 | -1:NaN:NaN |
2231 | 0:NaN:NaN |
2232 | -inf:NaN:NaN |
2233 | +inf:NaN:NaN |
2234 | NaN:0:NaN |
2235 | NaN:2:NaN |
2236 | NaN:inf:NaN |
2237 | NaN:inf:NaN |
2238 | 12:-inf:NaN |
2239 | 12:inf:NaN |
2240 | +0:0:NaN |
2241 | +1:0:NaN |
2242 | -1:0:NaN |
2243 | -2:0:NaN |
2244 | -123.45:0:NaN |
2245 | +inf:0:NaN |
2246 | 12:1:12 |
2247 | -12:1:NaN |
2248 | 8:-1:NaN |
2249 | -8:-1:NaN |
2250 | # cubic root |
2251 | 8:3:2 |
2252 | -8:3:NaN |
2253 | # fourths root |
c38b2de2 |
2254 | 16:4:2 |
2255 | 81:4:3 |
3a427a11 |
2256 | # 2 ** 64 |
c38b2de2 |
2257 | 18446744073709551616:4:65536 |
2258 | 18446744073709551616:8:256 |
2259 | 18446744073709551616:16:16 |
2260 | 18446744073709551616:32:4 |
2261 | 18446744073709551616:64:2 |
2262 | 18446744073709551616:128:1 |
3a427a11 |
2263 | # 213 ** 15 |
2264 | 84274086103068221283760416414557757:15:213 |
50109ad0 |
2265 | # see t/bigroot.t for more tests |
6854fd01 |
2266 | &bsqrt |
394e6ffb |
2267 | 145:12 |
6854fd01 |
2268 | 144:12 |
394e6ffb |
2269 | 143:11 |
6854fd01 |
2270 | 16:4 |
394e6ffb |
2271 | 170:13 |
2272 | 169:13 |
2273 | 168:12 |
6854fd01 |
2274 | 4:2 |
394e6ffb |
2275 | 3:1 |
6854fd01 |
2276 | 2:1 |
394e6ffb |
2277 | 9:3 |
6854fd01 |
2278 | 12:3 |
2279 | 256:16 |
2280 | 100000000:10000 |
2281 | 4000000000000:2000000 |
394e6ffb |
2282 | 152399026:12345 |
2283 | 152399025:12345 |
2284 | 152399024:12344 |
3a427a11 |
2285 | # 2 ** 64 => 2 ** 32 |
2286 | 18446744073709551616:4294967296 |
2287 | 84274086103068221283760416414557757:290299993288095377 |
6854fd01 |
2288 | 1:1 |
2289 | 0:0 |
2290 | -2:NaN |
394e6ffb |
2291 | -123:NaN |
6854fd01 |
2292 | Nan:NaN |
990fb837 |
2293 | +inf:inf |
2294 | -inf:NaN |
50109ad0 |
2295 | # see t/biglog.t for more tests |
2296 | &bexp |
2297 | NaN:NaN |
2298 | inf:inf |
2299 | 1:2 |
2300 | 2:7 |
30afc38d |
2301 | &batan2 |
2302 | NaN:1:10:NaN |
2303 | NaN:NaN:10:NaN |
2304 | 1:NaN:10:NaN |
2305 | inf:1:14:1 |
2306 | -inf:1:14:-1 |
2307 | 1:5:13:0 |
2308 | 1:5:14:0 |
2309 | 0:0:10:0 |
2310 | 0:1:14:0 |
2311 | 0:2:14:0 |
2312 | 1:0:14:1 |
2313 | 5:0:14:1 |
2314 | -1:0:11:-1 |
2315 | -2:0:77:-1 |
2316 | 2:0:77:1 |
2317 | -1:5:14:0 |
2318 | 1:5:14:0 |
2319 | -1:8:14:0 |
2320 | 1:8:14:0 |
2321 | -1:1:14:0 |
fdb4b05f |
2322 | &bpi |
2323 | 77:3 |
2324 | +0:3 |
2325 | 11:3 |
50109ad0 |
2326 | # see t/bignok.t for more tests |
2327 | &bnok |
2328 | +inf:10:inf |
2329 | NaN:NaN:NaN |
2330 | NaN:1:NaN |
2331 | 1:NaN:NaN |
2332 | 1:1:1 |
2333 | # k > n |
2334 | 1:2:0 |
2335 | 2:3:0 |
2336 | # k < 0 |
2337 | 1:-2:0 |
2338 | # 7 over 3 = 35 |
2339 | 7:3:35 |
2340 | 7:6:1 |
2341 | 100:90:17310309456440 |
2342 | 100:95:75287520 |
6854fd01 |
2343 | &bround |
2344 | $round_mode('trunc') |
2345 | 0:12:0 |
2346 | NaNbround:12:NaN |
2347 | +inf:12:inf |
2348 | -inf:12:-inf |
2349 | 1234:0:1234 |
2350 | 1234:2:1200 |
2351 | 123456:4:123400 |
2352 | 123456:5:123450 |
2353 | 123456:6:123456 |
61f5c3f5 |
2354 | +10123456789:5:10123000000 |
6854fd01 |
2355 | -10123456789:5:-10123000000 |
61f5c3f5 |
2356 | +10123456789:9:10123456700 |
6854fd01 |
2357 | -10123456789:9:-10123456700 |
61f5c3f5 |
2358 | +101234500:6:101234000 |
6854fd01 |
2359 | -101234500:6:-101234000 |
61f5c3f5 |
2360 | #+101234500:-4:101234000 |
6854fd01 |
2361 | #-101234500:-4:-101234000 |
2362 | $round_mode('zero') |
61f5c3f5 |
2363 | +20123456789:5:20123000000 |
6854fd01 |
2364 | -20123456789:5:-20123000000 |
61f5c3f5 |
2365 | +20123456789:9:20123456800 |
6854fd01 |
2366 | -20123456789:9:-20123456800 |
61f5c3f5 |
2367 | +201234500:6:201234000 |
6854fd01 |
2368 | -201234500:6:-201234000 |
61f5c3f5 |
2369 | #+201234500:-4:201234000 |
6854fd01 |
2370 | #-201234500:-4:-201234000 |
2371 | +12345000:4:12340000 |
2372 | -12345000:4:-12340000 |
2373 | $round_mode('+inf') |
61f5c3f5 |
2374 | +30123456789:5:30123000000 |
6854fd01 |
2375 | -30123456789:5:-30123000000 |
61f5c3f5 |
2376 | +30123456789:9:30123456800 |
6854fd01 |
2377 | -30123456789:9:-30123456800 |
61f5c3f5 |
2378 | +301234500:6:301235000 |
6854fd01 |
2379 | -301234500:6:-301234000 |
61f5c3f5 |
2380 | #+301234500:-4:301235000 |
6854fd01 |
2381 | #-301234500:-4:-301234000 |
2382 | +12345000:4:12350000 |
2383 | -12345000:4:-12340000 |
2384 | $round_mode('-inf') |
61f5c3f5 |
2385 | +40123456789:5:40123000000 |
6854fd01 |
2386 | -40123456789:5:-40123000000 |
61f5c3f5 |
2387 | +40123456789:9:40123456800 |
6854fd01 |
2388 | -40123456789:9:-40123456800 |
61f5c3f5 |
2389 | +401234500:6:401234000 |
2390 | +401234500:6:401234000 |
6854fd01 |
2391 | #-401234500:-4:-401235000 |
2392 | #-401234500:-4:-401235000 |
2393 | +12345000:4:12340000 |
2394 | -12345000:4:-12350000 |
2395 | $round_mode('odd') |
61f5c3f5 |
2396 | +50123456789:5:50123000000 |
6854fd01 |
2397 | -50123456789:5:-50123000000 |
61f5c3f5 |
2398 | +50123456789:9:50123456800 |
6854fd01 |
2399 | -50123456789:9:-50123456800 |
61f5c3f5 |
2400 | +501234500:6:501235000 |
6854fd01 |
2401 | -501234500:6:-501235000 |
61f5c3f5 |
2402 | #+501234500:-4:501235000 |
6854fd01 |
2403 | #-501234500:-4:-501235000 |
2404 | +12345000:4:12350000 |
2405 | -12345000:4:-12350000 |
2406 | $round_mode('even') |
61f5c3f5 |
2407 | +60123456789:5:60123000000 |
6854fd01 |
2408 | -60123456789:5:-60123000000 |
61f5c3f5 |
2409 | +60123456789:9:60123456800 |
6854fd01 |
2410 | -60123456789:9:-60123456800 |
61f5c3f5 |
2411 | +601234500:6:601234000 |
6854fd01 |
2412 | -601234500:6:-601234000 |
61f5c3f5 |
2413 | #+601234500:-4:601234000 |
6854fd01 |
2414 | #-601234500:-4:-601234000 |
2415 | #-601234500:-9:0 |
2416 | #-501234500:-9:0 |
2417 | #-601234500:-8:0 |
2418 | #-501234500:-8:0 |
2419 | +1234567:7:1234567 |
2420 | +1234567:6:1234570 |
2421 | +12345000:4:12340000 |
2422 | -12345000:4:-12340000 |
7b29e1e6 |
2423 | $round_mode('common') |
2424 | +60123456789:5:60123000000 |
2425 | +60123199999:5:60123000000 |
2426 | +60123299999:5:60123000000 |
2427 | +60123399999:5:60123000000 |
2428 | +60123499999:5:60123000000 |
2429 | +60123500000:5:60124000000 |
2430 | +60123600000:5:60124000000 |
2431 | +60123700000:5:60124000000 |
2432 | +60123800000:5:60124000000 |
2433 | +60123900000:5:60124000000 |
2434 | -60123456789:5:-60123000000 |
2435 | -60123199999:5:-60123000000 |
2436 | -60123299999:5:-60123000000 |
2437 | -60123399999:5:-60123000000 |
2438 | -60123499999:5:-60123000000 |
2439 | -60123500000:5:-60124000000 |
2440 | -60123600000:5:-60124000000 |
2441 | -60123700000:5:-60124000000 |
2442 | -60123800000:5:-60124000000 |
2443 | -60123900000:5:-60124000000 |
6854fd01 |
2444 | &is_zero |
2445 | 0:1 |
2446 | NaNzero:0 |
2447 | +inf:0 |
2448 | -inf:0 |
2449 | 123:0 |
2450 | -1:0 |
2451 | 1:0 |
2452 | &is_one |
2453 | 0:0 |
2454 | NaNone:0 |
2455 | +inf:0 |
2456 | -inf:0 |
2457 | 1:1 |
2458 | 2:0 |
2459 | -1:0 |
2460 | -2:0 |
2461 | # floor and ceil tests are pretty pointless in integer space...but play safe |
2462 | &bfloor |
2463 | 0:0 |
2464 | NaNfloor:NaN |
2465 | +inf:inf |
2466 | -inf:-inf |
2467 | -1:-1 |
2468 | -2:-2 |
2469 | 2:2 |
2470 | 3:3 |
2471 | abc:NaN |
2472 | &bceil |
2473 | NaNceil:NaN |
2474 | +inf:inf |
2475 | -inf:-inf |
2476 | 0:0 |
2477 | -1:-1 |
2478 | -2:-2 |
2479 | 2:2 |
2480 | 3:3 |
2481 | abc:NaN |
2482 | &as_hex |
2483 | 128:0x80 |
2484 | -128:-0x80 |
2485 | 0:0x0 |
2486 | -0:0x0 |
2487 | 1:0x1 |
2488 | 0x123456789123456789:0x123456789123456789 |
2489 | +inf:inf |
2490 | -inf:-inf |
2491 | NaNas_hex:NaN |
2492 | &as_bin |
2493 | 128:0b10000000 |
2494 | -128:-0b10000000 |
2495 | 0:0b0 |
2496 | -0:0b0 |
2497 | 1:0b1 |
2498 | 0b1010111101010101010110110110110110101:0b1010111101010101010110110110110110101 |
1ddff52a |
2499 | 0x123456789123456789:0b100100011010001010110011110001001000100100011010001010110011110001001 |
6854fd01 |
2500 | +inf:inf |
2501 | -inf:-inf |
2502 | NaNas_bin:NaN |