projects / p5sagit/p5-mst-13.2.git / blame
? search:
summary | shortlog | log | commit | commitdiff | tree
blob | history | HEAD
Move Math::BigInt from ext/ to cpan/
[p5sagit/p5-mst-13.2.git] / cpan / Math-BigInt / t / mbimbf.inc
CommitLineData
61f5c3f5 1# test rounding, accuracy, precicion and fallback, round_mode and mixing
2# of classes
3
4# Make sure you always quote any bare floating-point values, lest 123.46 will
5# be stringified to 123.4599999999 due to limited float prevision.
6
56d9de68 7use strict;
61f5c3f5 8my ($x,$y,$z,$u,$rc);
9
10###############################################################################
11# test defaults and set/get
12
56d9de68 13{
14 no strict 'refs';
15 ok_undef (${"$mbi\::accuracy"});
16 ok_undef (${"$mbi\::precision"});
17 ok_undef ($mbi->accuracy());
18 ok_undef ($mbi->precision());
19 ok (${"$mbi\::div_scale"},40);
20 ok (${"$mbi\::round_mode"},'even');
21 ok ($mbi->round_mode(),'even');
22
23 ok_undef (${"$mbf\::accuracy"});
24 ok_undef (${"$mbf\::precision"});
25 ok_undef ($mbf->precision());
26 ok_undef ($mbf->precision());
27 ok (${"$mbf\::div_scale"},40);
28 ok (${"$mbf\::round_mode"},'even');
29 ok ($mbf->round_mode(),'even');
30}
61f5c3f5 31
32# accessors
33foreach my $class ($mbi,$mbf)
34 {
35 ok_undef ($class->accuracy());
36 ok_undef ($class->precision());
37 ok ($class->round_mode(),'even');
38 ok ($class->div_scale(),40);
39
40 ok ($class->div_scale(20),20);
41 $class->div_scale(40); ok ($class->div_scale(),40);
42
43 ok ($class->round_mode('odd'),'odd');
44 $class->round_mode('even'); ok ($class->round_mode(),'even');
45
46 ok ($class->accuracy(2),2);
47 $class->accuracy(3); ok ($class->accuracy(),3);
48 ok_undef ($class->accuracy(undef));
49
50 ok ($class->precision(2),2);
51 ok ($class->precision(-2),-2);
52 $class->precision(3); ok ($class->precision(),3);
53 ok_undef ($class->precision(undef));
54 }
55
56d9de68 56{
57 no strict 'refs';
58 # accuracy
59 foreach (qw/5 42 -1 0/)
60 {
61 ok (${"$mbf\::accuracy"} = $_,$_);
62 ok (${"$mbi\::accuracy"} = $_,$_);
63 }
64 ok_undef (${"$mbf\::accuracy"} = undef);
65 ok_undef (${"$mbi\::accuracy"} = undef);
61f5c3f5 66
56d9de68 67 # precision
68 foreach (qw/5 42 -1 0/)
69 {
70 ok (${"$mbf\::precision"} = $_,$_);
71 ok (${"$mbi\::precision"} = $_,$_);
72 }
73 ok_undef (${"$mbf\::precision"} = undef);
74 ok_undef (${"$mbi\::precision"} = undef);
61f5c3f5 75
56d9de68 76 # fallback
77 foreach (qw/5 42 1/)
78 {
79 ok (${"$mbf\::div_scale"} = $_,$_);
80 ok (${"$mbi\::div_scale"} = $_,$_);
81 }
82 # illegal values are possible for fallback due to no accessor
61f5c3f5 83
56d9de68 84 # round_mode
85 foreach (qw/odd even zero trunc +inf -inf/)
86 {
87 ok (${"$mbf\::round_mode"} = $_,$_);
88 ok (${"$mbi\::round_mode"} = $_,$_);
89 }
90 ${"$mbf\::round_mode"} = 'zero';
91 ok (${"$mbf\::round_mode"},'zero');
92 ok (${"$mbi\::round_mode"},'-inf'); # from above
93
2ab5f49d 94 # reset for further tests
56d9de68 95 ${"$mbi\::accuracy"} = undef;
96 ${"$mbi\::precision"} = undef;
2ab5f49d 97 ${"$mbf\::div_scale"} = 40;
56d9de68 98}
61f5c3f5 99
61f5c3f5 100# local copies
101$x = $mbf->new('123.456');
102ok_undef ($x->accuracy());
103ok ($x->accuracy(5),5);
104ok_undef ($x->accuracy(undef),undef);
105ok_undef ($x->precision());
106ok ($x->precision(5),5);
107ok_undef ($x->precision(undef),undef);
108
56d9de68 109{
110 no strict 'refs';
111 # see if MBF changes MBIs values
112 ok (${"$mbi\::accuracy"} = 42,42);
113 ok (${"$mbf\::accuracy"} = 64,64);
114 ok (${"$mbi\::accuracy"},42); # should be still 42
115 ok (${"$mbf\::accuracy"},64); # should be now 64
116}
61f5c3f5 117
118###############################################################################
119# see if creating a number under set A or P will round it
120
56d9de68 121{
122 no strict 'refs';
123 ${"$mbi\::accuracy"} = 4;
124 ${"$mbi\::precision"} = undef;
61f5c3f5 125
56d9de68 126 ok ($mbi->new(123456),123500); # with A
127 ${"$mbi\::accuracy"} = undef;
128 ${"$mbi\::precision"} = 3;
129 ok ($mbi->new(123456),123000); # with P
61f5c3f5 130
56d9de68 131 ${"$mbf\::accuracy"} = 4;
132 ${"$mbf\::precision"} = undef;
133 ${"$mbi\::precision"} = undef;
61f5c3f5 134
56d9de68 135 ok ($mbf->new('123.456'),'123.5'); # with A
136 ${"$mbf\::accuracy"} = undef;
137 ${"$mbf\::precision"} = -1;
138 ok ($mbf->new('123.456'),'123.5'); # with P from MBF, not MBI!
61f5c3f5 139
56d9de68 140 ${"$mbf\::precision"} = undef; # reset
141}
61f5c3f5 142
143###############################################################################
144# see if MBI leaves MBF's private parts alone
145
56d9de68 146{
147 no strict 'refs';
148 ${"$mbi\::precision"} = undef; ${"$mbf\::precision"} = undef;
149 ${"$mbi\::accuracy"} = 4; ${"$mbf\::accuracy"} = undef;
150 ok ($mbf->new('123.456'),'123.456');
151 ${"$mbi\::accuracy"} = undef; # reset
152}
61f5c3f5 153
154###############################################################################
155# see if setting accuracy/precision actually rounds the number
156
157$x = $mbf->new('123.456'); $x->accuracy(4); ok ($x,'123.5');
158$x = $mbf->new('123.456'); $x->precision(-2); ok ($x,'123.46');
159
160$x = $mbi->new(123456); $x->accuracy(4); ok ($x,123500);
161$x = $mbi->new(123456); $x->precision(2); ok ($x,123500);
162
163###############################################################################
164# test actual rounding via round()
165
166$x = $mbf->new('123.456');
167ok ($x->copy()->round(5),'123.46');
168ok ($x->copy()->round(4),'123.5');
169ok ($x->copy()->round(5,2),'NaN');
170ok ($x->copy()->round(undef,-2),'123.46');
b3abae2a 171ok ($x->copy()->round(undef,2),120);
61f5c3f5 172
173$x = $mbi->new('123');
174ok ($x->round(5,2),'NaN');
175
176$x = $mbf->new('123.45000');
177ok ($x->copy()->round(undef,-1,'odd'),'123.5');
178
179# see if rounding is 'sticky'
180$x = $mbf->new('123.4567');
181$y = $x->copy()->bround(); # no-op since nowhere A or P defined
182
183ok ($y,123.4567);
184$y = $x->copy()->round(5);
185ok ($y->accuracy(),5);
186ok_undef ($y->precision()); # A has precedence, so P still unset
187$y = $x->copy()->round(undef,2);
188ok ($y->precision(),2);
189ok_undef ($y->accuracy()); # P has precedence, so A still unset
190
191# see if setting A clears P and vice versa
192$x = $mbf->new('123.4567');
193ok ($x,'123.4567');
194ok ($x->accuracy(4),4);
195ok ($x->precision(-2),-2); # clear A
196ok_undef ($x->accuracy());
197
198$x = $mbf->new('123.4567');
199ok ($x,'123.4567');
200ok ($x->precision(-2),-2);
201ok ($x->accuracy(4),4); # clear P
202ok_undef ($x->precision());
203
204# does copy work?
205$x = $mbf->new(123.456); $x->accuracy(4); $x->precision(2);
206$z = $x->copy(); ok_undef ($z->accuracy(),undef); ok ($z->precision(),2);
207
56d9de68 208# does $x->bdiv($y,d) work when $d > div_scale?
209$x = $mbf->new('0.008'); $x->accuracy(8);
210
211for my $e ( 4, 8, 16, 32 )
212 {
213 print "# Tried: $x->bdiv(3,$e)\n"
214 unless ok (scalar $x->copy()->bdiv(3,$e), '0.002' . ('6' x ($e-2)) . '7');
215 }
216
61f5c3f5 217# does accuracy()/precision work on zeros?
56d9de68 218foreach my $c ($mbi,$mbf)
61f5c3f5 219 {
56d9de68 220 $x = $c->bzero(); $x->accuracy(5); ok ($x->{_a},5);
221 $x = $c->bzero(); $x->precision(5); ok ($x->{_p},5);
222 $x = $c->new(0); $x->accuracy(5); ok ($x->{_a},5);
223 $x = $c->new(0); $x->precision(5); ok ($x->{_p},5);
61f5c3f5 224
56d9de68 225 $x = $c->bzero(); $x->round(5); ok ($x->{_a},5);
226 $x = $c->bzero(); $x->round(undef,5); ok ($x->{_p},5);
227 $x = $c->new(0); $x->round(5); ok ($x->{_a},5);
228 $x = $c->new(0); $x->round(undef,5); ok ($x->{_p},5);
61f5c3f5 229
230 # see if trying to increasing A in bzero() doesn't do something
56d9de68 231 $x = $c->bzero(); $x->{_a} = 3; $x->round(5); ok ($x->{_a},3);
232 }
233
234###############################################################################
235# test whether an opp calls objectify properly or not (or at least does what
236# it should do given non-objects, w/ or w/o objectify())
237
238foreach my $c ($mbi,$mbf)
239 {
240# ${"$c\::precision"} = undef; # reset
241# ${"$c\::accuracy"} = undef; # reset
242
243 ok ($c->new(123)->badd(123),246);
244 ok ($c->badd(123,321),444);
245 ok ($c->badd(123,$c->new(321)),444);
246
247 ok ($c->new(123)->bsub(122),1);
248 ok ($c->bsub(321,123),198);
249 ok ($c->bsub(321,$c->new(123)),198);
250
251 ok ($c->new(123)->bmul(123),15129);
252 ok ($c->bmul(123,123),15129);
253 ok ($c->bmul(123,$c->new(123)),15129);
254
255# ok ($c->new(15129)->bdiv(123),123);
256# ok ($c->bdiv(15129,123),123);
257# ok ($c->bdiv(15129,$c->new(123)),123);
258
259 ok ($c->new(15131)->bmod(123),2);
260 ok ($c->bmod(15131,123),2);
261 ok ($c->bmod(15131,$c->new(123)),2);
262
263 ok ($c->new(2)->bpow(16),65536);
264 ok ($c->bpow(2,16),65536);
265 ok ($c->bpow(2,$c->new(16)),65536);
266
9b924220 267 ok ($c->new(2**15)->brsft(1),2**14);
268 ok ($c->brsft(2**15,1),2**14);
269 ok ($c->brsft(2**15,$c->new(1)),2**14);
56d9de68 270
271 ok ($c->new(2**13)->blsft(1),2**14);
272 ok ($c->blsft(2**13,1),2**14);
273 ok ($c->blsft(2**13,$c->new(1)),2**14);
61f5c3f5 274 }
275
276###############################################################################
277# test wether operations round properly afterwards
278# These tests are not complete, since they do not excercise every "return"
279# statement in the op's. But heh, it's better than nothing...
280
281$x = $mbf->new('123.456');
282$y = $mbf->new('654.321');
283$x->{_a} = 5; # $x->accuracy(5) would round $x straightaway
284$y->{_a} = 4; # $y->accuracy(4) would round $x straightaway
285
286$z = $x + $y; ok ($z,'777.8');
287$z = $y - $x; ok ($z,'530.9');
288$z = $y * $x; ok ($z,'80780');
289$z = $x ** 2; ok ($z,'15241');
290$z = $x * $x; ok ($z,'15241');
291
292# not: $z = -$x; ok ($z,'-123.46'); ok ($x,'123.456');
293$z = $x->copy(); $z->{_a} = 2; $z = $z / 2; ok ($z,62);
294$x = $mbf->new(123456); $x->{_a} = 4;
295$z = $x->copy; $z++; ok ($z,123500);
296
297$x = $mbi->new(123456);
298$y = $mbi->new(654321);
299$x->{_a} = 5; # $x->accuracy(5) would round $x straightaway
300$y->{_a} = 4; # $y->accuracy(4) would round $x straightaway
301
302$z = $x + $y; ok ($z,777800);
303$z = $y - $x; ok ($z,530900);
304$z = $y * $x; ok ($z,80780000000);
305$z = $x ** 2; ok ($z,15241000000);
306# not yet: $z = -$x; ok ($z,-123460); ok ($x,123456);
307$z = $x->copy; $z++; ok ($z,123460);
308$z = $x->copy(); $z->{_a} = 2; $z = $z / 2; ok ($z,62000);
309
310$x = $mbi->new(123400); $x->{_a} = 4;
311ok ($x->bnot(),-123400); # not -1234001
312
313# both babs() and bneg() don't need to round, since the input will already
314# be rounded (either as $x or via new($string)), and they don't change the
315# value. The two tests below peek at this by using _a (illegally) directly
316$x = $mbi->new(-123401); $x->{_a} = 4; ok ($x->babs(),123401);
317$x = $mbi->new(-123401); $x->{_a} = 4; ok ($x->bneg(),123401);
318
319# test fdiv rounding to A and R (bug in v1.48 and maybe earlier versions)
320$mbf->round_mode('even');
321$x = $mbf->new('740.7')->fdiv('6',4,undef,'zero'); ok ($x,'123.4');
322
990fb837 323$x = $mbi->new('123456'); $y = $mbi->new('123456'); $y->{_a} = 6;
324ok ($x->bdiv($y),1); ok ($x->{_a},6); # carried over
325
326$x = $mbi->new('123456'); $y = $mbi->new('123456'); $x->{_a} = 6;
327ok ($x->bdiv($y),1); ok ($x->{_a},6); # carried over
328
329$x = $mbi->new('123456'); $y = $mbi->new('223456'); $y->{_a} = 6;
330ok ($x->bdiv($y),0); ok ($x->{_a},6); # carried over
331
332$x = $mbi->new('123456'); $y = $mbi->new('223456'); $x->{_a} = 6;
333ok ($x->bdiv($y),0); ok ($x->{_a},6); # carried over
334
61f5c3f5 335###############################################################################
2ab5f49d 336# test that bop(0) does the same than bop(undef)
337
338$x = $mbf->new('1234567890');
339ok ($x->copy()->bsqrt(0),$x->copy()->bsqrt(undef));
340ok ($x->copy->bsqrt(0),'35136.41828644462161665823116758077037159');
341
342ok_undef ($x->{_a});
343
344# test that bsqrt() modifies $x and does not just return something else
345# (especially under BareCalc)
346$z = $x->bsqrt();
347ok ($z,$x); ok ($x,'35136.41828644462161665823116758077037159');
348
349$x = $mbf->new('1.234567890123456789');
350ok ($x->copy()->bpow('0.5',0),$x->copy()->bpow('0.5',undef));
351ok ($x->copy()->bpow('0.5',0),$x->copy()->bsqrt(undef));
352ok ($x->copy()->bpow('2',0),'1.524157875323883675019051998750190521');
353
354###############################################################################
f9a08e12 355# test (also under Bare) that bfac() rounds at last step
356
357ok ($mbi->new(12)->bfac(),'479001600');
358ok ($mbi->new(12)->bfac(2),'480000000');
359$x = $mbi->new(12); $x->accuracy(2); ok ($x->bfac(),'480000000');
360$x = $mbi->new(13); $x->accuracy(2); ok ($x->bfac(),'6200000000');
361$x = $mbi->new(13); $x->accuracy(3); ok ($x->bfac(),'6230000000');
362$x = $mbi->new(13); $x->accuracy(4); ok ($x->bfac(),'6227000000');
363# this does 1,2,3...9,10,11,12...20
364$x = $mbi->new(20); $x->accuracy(1); ok ($x->bfac(),'2000000000000000000');
365
366###############################################################################
367# test bsqrt) rounding to given A/P/R (bug prior to v1.60)
368$x = $mbi->new('123456')->bsqrt(2,undef); ok ($x,'350'); # not 351
369$x = $mbi->new('3')->bsqrt(2,undef); ok ($x->accuracy(),2);
370
371$mbi->round_mode('even'); $x = $mbi->new('126025')->bsqrt(2,undef,'+inf');
372ok ($x,'360'); # not 355 nor 350
373
374$x = $mbi->new('126025')->bsqrt(undef,2); ok ($x,'400'); # not 355
375
376
377###############################################################################
61f5c3f5 378# test mixed arguments
379
380$x = $mbf->new(10);
381$u = $mbf->new(2.5);
382$y = $mbi->new(2);
383
384$z = $x + $y; ok ($z,12); ok (ref($z),$mbf);
385$z = $x / $y; ok ($z,5); ok (ref($z),$mbf);
386$z = $u * $y; ok ($z,5); ok (ref($z),$mbf);
387
388$y = $mbi->new(12345);
389$z = $u->copy()->bmul($y,2,undef,'odd'); ok ($z,31000);
390$z = $u->copy()->bmul($y,3,undef,'odd'); ok ($z,30900);
391$z = $u->copy()->bmul($y,undef,0,'odd'); ok ($z,30863);
b3abae2a 392$z = $u->copy()->bmul($y,undef,1,'odd'); ok ($z,30863);
393$z = $u->copy()->bmul($y,undef,2,'odd'); ok ($z,30860);
394$z = $u->copy()->bmul($y,undef,3,'odd'); ok ($z,30900);
61f5c3f5 395$z = $u->copy()->bmul($y,undef,-1,'odd'); ok ($z,30862.5);
396
56d9de68 397my $warn = ''; $SIG{__WARN__} = sub { $warn = shift; };
a0ac753d 398# these should no longer warn, even tho '3.17' is a NaN in BigInt (>= returns
399# now false, bug until v1.80)
400$warn = ''; eval "\$z = 3.17 <= \$y"; ok ($z, '');
56d9de68 401print "# Got: '$warn'\n" unless
a0ac753d 402ok ($warn !~ /^Use of uninitialized value (\$y )?(in numeric le \(<=\) |)at/);
403$warn = ''; eval "\$z = \$y >= 3.17"; ok ($z, '');
56d9de68 404print "# Got: '$warn'\n" unless
a0ac753d 405ok ($warn !~ /^Use of uninitialized value (\$y )?(in numeric ge \(>=\) |)at/);
56d9de68 406
407# XXX TODO breakage:
61f5c3f5 408# $z = $y->copy()->bmul($u,2,0,'odd'); ok ($z,31000);
409# $z = $y * $u; ok ($z,5); ok (ref($z),$mbi);
410# $z = $y + $x; ok ($z,12); ok (ref($z),$mbi);
411# $z = $y / $x; ok ($z,0); ok (ref($z),$mbi);
412
413###############################################################################
414# rounding in bdiv with fallback and already set A or P
415
56d9de68 416{
417 no strict 'refs';
418 ${"$mbf\::accuracy"} = undef;
419 ${"$mbf\::precision"} = undef;
420 ${"$mbf\::div_scale"} = 40;
421}
61f5c3f5 422
56d9de68 423 $x = $mbf->new(10); $x->{_a} = 4;
424 ok ($x->bdiv(3),'3.333');
425 ok ($x->{_a},4); # set's it since no fallback
61f5c3f5 426
427$x = $mbf->new(10); $x->{_a} = 4; $y = $mbf->new(3);
428ok ($x->bdiv($y),'3.333');
429ok ($x->{_a},4); # set's it since no fallback
430
431# rounding to P of x
432$x = $mbf->new(10); $x->{_p} = -2;
433ok ($x->bdiv(3),'3.33');
434
435# round in div with requested P
436$x = $mbf->new(10);
437ok ($x->bdiv(3,undef,-2),'3.33');
438
439# round in div with requested P greater than fallback
56d9de68 440{
441 no strict 'refs';
442 ${"$mbf\::div_scale"} = 5;
443 $x = $mbf->new(10);
444 ok ($x->bdiv(3,undef,-8),'3.33333333');
445 ${"$mbf\::div_scale"} = 40;
446}
61f5c3f5 447
448$x = $mbf->new(10); $y = $mbf->new(3); $y->{_a} = 4;
449ok ($x->bdiv($y),'3.333');
450ok ($x->{_a},4); ok ($y->{_a},4); # set's it since no fallback
451ok_undef ($x->{_p}); ok_undef ($y->{_p});
452
453# rounding to P of y
454$x = $mbf->new(10); $y = $mbf->new(3); $y->{_p} = -2;
455ok ($x->bdiv($y),'3.33');
456ok ($x->{_p},-2);
457 ok ($y->{_p},-2);
458ok_undef ($x->{_a}); ok_undef ($y->{_a});
459
460###############################################################################
461# test whether bround(-n) fails in MBF (undocumented in MBI)
462eval { $x = $mbf->new(1); $x->bround(-2); };
463ok ($@ =~ /^bround\(\) needs positive accuracy/,1);
464
465# test whether rounding to higher accuracy is no-op
466$x = $mbf->new(1); $x->{_a} = 4;
467ok ($x,'1.000');
468$x->bround(6); # must be no-op
469ok ($x->{_a},4);
470ok ($x,'1.000');
471
472$x = $mbi->new(1230); $x->{_a} = 3;
473ok ($x,'1230');
474$x->bround(6); # must be no-op
475ok ($x->{_a},3);
476ok ($x,'1230');
477
478# bround(n) should set _a
479$x->bround(2); # smaller works
480ok ($x,'1200');
481ok ($x->{_a},2);
482
483# bround(-n) is undocumented and only used by MBF
484# bround(-n) should set _a
485$x = $mbi->new(12345);
486$x->bround(-1);
487ok ($x,'12300');
488ok ($x->{_a},4);
489
490# bround(-n) should set _a
491$x = $mbi->new(12345);
492$x->bround(-2);
493ok ($x,'12000');
494ok ($x->{_a},3);
495
496# bround(-n) should set _a
497$x = $mbi->new(12345); $x->{_a} = 5;
498$x->bround(-3);
499ok ($x,'10000');
500ok ($x->{_a},2);
501
502# bround(-n) should set _a
503$x = $mbi->new(12345); $x->{_a} = 5;
504$x->bround(-4);
505ok ($x,'0');
506ok ($x->{_a},1);
507
508# bround(-n) should be noop if n too big
509$x = $mbi->new(12345);
510$x->bround(-5);
511ok ($x,'0'); # scale to "big" => 0
512ok ($x->{_a},0);
513
514# bround(-n) should be noop if n too big
515$x = $mbi->new(54321);
516$x->bround(-5);
517ok ($x,'100000'); # used by MBF to round 0.0054321 at 0.0_6_00000
518ok ($x->{_a},0);
519
520# bround(-n) should be noop if n too big
521$x = $mbi->new(54321); $x->{_a} = 5;
522$x->bround(-6);
523ok ($x,'100000'); # no-op
524ok ($x->{_a},0);
525
526# bround(n) should set _a
527$x = $mbi->new(12345); $x->{_a} = 5;
528$x->bround(5); # must be no-op
529ok ($x,'12345');
530ok ($x->{_a},5);
531
532# bround(n) should set _a
533$x = $mbi->new(12345); $x->{_a} = 5;
534$x->bround(6); # must be no-op
535ok ($x,'12345');
536
b3abae2a 537$x = $mbf->new('0.0061'); $x->bfround(-2); ok ($x,'0.01');
538$x = $mbf->new('0.004'); $x->bfround(-2); ok ($x,'0.00');
539$x = $mbf->new('0.005'); $x->bfround(-2); ok ($x,'0.00');
540
541$x = $mbf->new('12345'); $x->bfround(2); ok ($x,'12340');
542$x = $mbf->new('12340'); $x->bfround(2); ok ($x,'12340');
61f5c3f5 543
544# MBI::bfround should clear A for negative P
545$x = $mbi->new('1234'); $x->accuracy(3); $x->bfround(-2);
546ok_undef ($x->{_a});
547
9b924220 548# test that bfround() and bround() work with large numbers
549
550$x = $mbf->new(1)->bdiv(5678,undef,-63);
551ok ($x, '0.000176118351532229658330398027474462839027826699542092286016203');
552
553$x = $mbf->new(1)->bdiv(5678,undef,-90);
554ok ($x, '0.000176118351532229658330398027474462839027826699542092286016202888340965128566396618527651');
555
556$x = $mbf->new(1)->bdiv(5678,80);
557ok ($x, '0.00017611835153222965833039802747446283902782669954209228601620288834096512856639662');
558
61f5c3f5 559###############################################################################
560# rounding with already set precision/accuracy
561
562$x = $mbf->new(1); $x->{_p} = -5;
563ok ($x,'1.00000');
564
565# further rounding donw
566ok ($x->bfround(-2),'1.00');
567ok ($x->{_p},-2);
568
569$x = $mbf->new(12345); $x->{_a} = 5;
570ok ($x->bround(2),'12000');
571ok ($x->{_a},2);
572
573$x = $mbf->new('1.2345'); $x->{_a} = 5;
574ok ($x->bround(2),'1.2');
575ok ($x->{_a},2);
576
577# mantissa/exponent format and A/P
578$x = $mbf->new('12345.678'); $x->accuracy(4);
579ok ($x,'12350'); ok ($x->{_a},4); ok_undef ($x->{_p});
9b924220 580
581#ok_undef ($x->{_m}->{_a}); ok_undef ($x->{_e}->{_a});
582#ok_undef ($x->{_m}->{_p}); ok_undef ($x->{_e}->{_p});
61f5c3f5 583
584# check for no A/P in case of fallback
585# result
586$x = $mbf->new(100) / 3;
587ok_undef ($x->{_a}); ok_undef ($x->{_p});
588
589# result & reminder
590$x = $mbf->new(100) / 3; ($x,$y) = $x->bdiv(3);
591ok_undef ($x->{_a}); ok_undef ($x->{_p});
592ok_undef ($y->{_a}); ok_undef ($y->{_p});
593
594###############################################################################
595# math with two numbers with differen A and P
596
597$x = $mbf->new(12345); $x->accuracy(4); # '12340'
598$y = $mbf->new(12345); $y->accuracy(2); # '12000'
599ok ($x+$y,24000); # 12340+12000=> 24340 => 24000
600
601$x = $mbf->new(54321); $x->accuracy(4); # '12340'
602$y = $mbf->new(12345); $y->accuracy(3); # '12000'
603ok ($x-$y,42000); # 54320+12300=> 42020 => 42000
604
605$x = $mbf->new('1.2345'); $x->precision(-2); # '1.23'
606$y = $mbf->new('1.2345'); $y->precision(-4); # '1.2345'
607ok ($x+$y,'2.46'); # 1.2345+1.2300=> 2.4645 => 2.46
608
609###############################################################################
610# round should find and use proper class
611
612#$x = Foo->new();
613#ok ($x->round($Foo::accuracy),'a' x $Foo::accuracy);
614#ok ($x->round(undef,$Foo::precision),'p' x $Foo::precision);
615#ok ($x->bfround($Foo::precision),'p' x $Foo::precision);
616#ok ($x->bround($Foo::accuracy),'a' x $Foo::accuracy);
617
618###############################################################################
619# find out whether _find_round_parameters is doing what's it's supposed to do
56d9de68 620
621{
622 no strict 'refs';
623 ${"$mbi\::accuracy"} = undef;
624 ${"$mbi\::precision"} = undef;
625 ${"$mbi\::div_scale"} = 40;
626 ${"$mbi\::round_mode"} = 'odd';
627}
628
61f5c3f5 629$x = $mbi->new(123);
630my @params = $x->_find_round_parameters();
631ok (scalar @params,1); # nothing to round
632
633@params = $x->_find_round_parameters(1);
634ok (scalar @params,4); # a=1
635ok ($params[0],$x); # self
636ok ($params[1],1); # a
637ok_undef ($params[2]); # p
638ok ($params[3],'odd'); # round_mode
639
640@params = $x->_find_round_parameters(undef,2);
641ok (scalar @params,4); # p=2
642ok ($params[0],$x); # self
643ok_undef ($params[1]); # a
644ok ($params[2],2); # p
645ok ($params[3],'odd'); # round_mode
646
647eval { @params = $x->_find_round_parameters(undef,2,'foo'); };
648ok ($@ =~ /^Unknown round mode 'foo'/,1);
649
650@params = $x->_find_round_parameters(undef,2,'+inf');
651ok (scalar @params,4); # p=2
652ok ($params[0],$x); # self
653ok_undef ($params[1]); # a
654ok ($params[2],2); # p
655ok ($params[3],'+inf'); # round_mode
656
657@params = $x->_find_round_parameters(2,-2,'+inf');
658ok (scalar @params,1); # error, A and P defined
659ok ($params[0],$x); # self
660
56d9de68 661{
662 no strict 'refs';
663 ${"$mbi\::accuracy"} = 1;
664 @params = $x->_find_round_parameters(undef,-2);
665 ok (scalar @params,1); # error, A and P defined
666 ok ($params[0],$x); # self
990fb837 667 ok ($x->is_nan(),1); # and must be NaN
56d9de68 668
669 ${"$mbi\::accuracy"} = undef;
670 ${"$mbi\::precision"} = 1;
671 @params = $x->_find_round_parameters(1,undef);
672 ok (scalar @params,1); # error, A and P defined
673 ok ($params[0],$x); # self
990fb837 674 ok ($x->is_nan(),1); # and must be NaN
56d9de68 675
676 ${"$mbi\::precision"} = undef; # reset
677}
61f5c3f5 678
679###############################################################################
680# test whether bone/bzero take additional A & P, or reset it etc
681
f9a08e12 682foreach my $c ($mbi,$mbf)
61f5c3f5 683 {
f9a08e12 684 $x = $c->new(2)->bzero(); ok_undef ($x->{_a}); ok_undef ($x->{_p});
685 $x = $c->new(2)->bone(); ok_undef ($x->{_a}); ok_undef ($x->{_p});
686 $x = $c->new(2)->binf(); ok_undef ($x->{_a}); ok_undef ($x->{_p});
687 $x = $c->new(2)->bnan(); ok_undef ($x->{_a}); ok_undef ($x->{_p});
61f5c3f5 688
f9a08e12 689 $x = $c->new(2); $x->{_a} = 1; $x->{_p} = 2; $x->bnan();
61f5c3f5 690 ok_undef ($x->{_a}); ok_undef ($x->{_p});
f9a08e12 691 $x = $c->new(2); $x->{_a} = 1; $x->{_p} = 2; $x->binf();
61f5c3f5 692 ok_undef ($x->{_a}); ok_undef ($x->{_p});
693
f9a08e12 694 $x = $c->new(2,1); ok ($x->{_a},1); ok_undef ($x->{_p});
695 $x = $c->new(2,undef,1); ok_undef ($x->{_a}); ok ($x->{_p},1);
696
697 $x = $c->new(2,1)->bzero(); ok ($x->{_a},1); ok_undef ($x->{_p});
698 $x = $c->new(2,undef,1)->bzero(); ok_undef ($x->{_a}); ok ($x->{_p},1);
699
700 $x = $c->new(2,1)->bone(); ok ($x->{_a},1); ok_undef ($x->{_p});
701 $x = $c->new(2,undef,1)->bone(); ok_undef ($x->{_a}); ok ($x->{_p},1);
702
703 $x = $c->new(2); $x->bone('+',2,undef); ok ($x->{_a},2); ok_undef ($x->{_p});
704 $x = $c->new(2); $x->bone('+',undef,2); ok_undef ($x->{_a}); ok ($x->{_p},2);
705 $x = $c->new(2); $x->bone('-',2,undef); ok ($x->{_a},2); ok_undef ($x->{_p});
706 $x = $c->new(2); $x->bone('-',undef,2); ok_undef ($x->{_a}); ok ($x->{_p},2);
61f5c3f5 707
f9a08e12 708 $x = $c->new(2); $x->bzero(2,undef); ok ($x->{_a},2); ok_undef ($x->{_p});
709 $x = $c->new(2); $x->bzero(undef,2); ok_undef ($x->{_a}); ok ($x->{_p},2);
710 }
711
712###############################################################################
713# test whether bone/bzero honour globals
61f5c3f5 714
f9a08e12 715for my $c ($mbi,$mbf)
716 {
717 $c->accuracy(2);
718 $x = $c->bone(); ok ($x->accuracy(),2);
719 $x = $c->bzero(); ok ($x->accuracy(),2);
720 $c->accuracy(undef);
721
722 $c->precision(-2);
723 $x = $c->bone(); ok ($x->precision(),-2);
724 $x = $c->bzero(); ok ($x->precision(),-2);
725 $c->precision(undef);
61f5c3f5 726 }
727
728###############################################################################
729# check whether mixing A and P creates a NaN
730
731# new with set accuracy/precision and with parameters
56d9de68 732{
733 no strict 'refs';
734 foreach my $c ($mbi,$mbf)
735 {
736 ok ($c->new(123,4,-3),'NaN'); # with parameters
737 ${"$c\::accuracy"} = 42;
738 ${"$c\::precision"} = 2;
739 ok ($c->new(123),'NaN'); # with globals
740 ${"$c\::accuracy"} = undef;
741 ${"$c\::precision"} = undef;
742 }
743}
61f5c3f5 744
745# binary ops
746foreach my $class ($mbi,$mbf)
747 {
748 foreach (qw/add sub mul pow mod/)
749 #foreach (qw/add sub mul div pow mod/)
750 {
751 my $try = "my \$x = $class->new(1234); \$x->accuracy(5); ";
752 $try .= "my \$y = $class->new(12); \$y->precision(-3); ";
753 $try .= "\$x->b$_(\$y);";
754 $rc = eval $try;
755 print "# Tried: '$try'\n" if !ok ($rc, 'NaN');
756 }
757 }
758
759# unary ops
760foreach (qw/new bsqrt/)
761 {
762 my $try = 'my $x = $mbi->$_(1234,5,-3); ';
763 $rc = eval $try;
764 print "# Tried: '$try'\n" if !ok ($rc, 'NaN');
765 }
766
28df3e88 767# see if $x->bsub(0) and $x->badd(0) really round
768foreach my $class ($mbi,$mbf)
769 {
770 $x = $class->new(123); $class->accuracy(2); $x->bsub(0);
771 ok ($x,120);
772 $class->accuracy(undef);
773 $x = $class->new(123); $class->accuracy(2); $x->badd(0);
774 ok ($x,120);
775 $class->accuracy(undef);
776 }
b3abae2a 777
61f5c3f5 778###############################################################################
779# test whether shortcuts returning zero/one preserve A and P
780
781my ($ans1,$f,$a,$p,$xp,$yp,$xa,$ya,$try,$ans,@args);
b3abae2a 782my $CALC = Math::BigInt->config()->{lib};
61f5c3f5 783while (<DATA>)
784 {
f7f86b73 785 $_ =~ s/[\n\r]//g; # remove newlines
61f5c3f5 786 next if /^\s*(#|$)/; # skip comments and empty lines
787 if (s/^&//)
788 {
789 $f = $_; next; # function
790 }
791 @args = split(/:/,$_,99);
792 my $ans = pop(@args);
793
794 ($x,$xa,$xp) = split (/,/,$args[0]);
795 $xa = $xa || ''; $xp = $xp || '';
796 $try = "\$x = $mbi->new('$x'); ";
797 $try .= "\$x->accuracy($xa); " if $xa ne '';
798 $try .= "\$x->precision($xp); " if $xp ne '';
799
800 ($y,$ya,$yp) = split (/,/,$args[1]);
801 $ya = $ya || ''; $yp = $yp || '';
802 $try .= "\$y = $mbi->new('$y'); ";
803 $try .= "\$y->accuracy($ya); " if $ya ne '';
804 $try .= "\$y->precision($yp); " if $yp ne '';
805
806 $try .= "\$x->$f(\$y);";
807
9b924220 808 # print "trying $try\n";
61f5c3f5 809 $rc = eval $try;
810 # convert hex/binary targets to decimal
811 if ($ans =~ /^(0x0x|0b0b)/)
812 {
813 $ans =~ s/^0[xb]//;
814 $ans = $mbi->new($ans)->bstr();
815 }
816 print "# Tried: '$try'\n" if !ok ($rc, $ans);
817 # check internal state of number objects
818 is_valid($rc,$f) if ref $rc;
819
820 # now check whether A and P are set correctly
821 # only one of $a or $p will be set (no crossing here)
822 $a = $xa || $ya; $p = $xp || $yp;
823
824 # print "Check a=$a p=$p\n";
b3abae2a 825 # print "# Tried: '$try'\n";
f9a08e12 826 if ($a ne '')
827 {
828 if (!(ok ($x->{_a}, $a) && ok_undef ($x->{_p})))
829 {
830 print "# Check: A=$a and P=undef\n";
831 print "# Tried: '$try'\n";
832 }
833 }
834 if ($p ne '')
835 {
836 if (!(ok ($x->{_p}, $p) && ok_undef ($x->{_a})))
837 {
838 print "# Check: A=undef and P=$p\n";
839 print "# Tried: '$try'\n";
840 }
841 }
61f5c3f5 842 }
843
844# all done
8451;
846
847###############################################################################
848###############################################################################
849# Perl 5.005 does not like ok ($x,undef)
850
851sub ok_undef
852 {
853 my $x = shift;
854
f9a08e12 855 ok (1,1) and return 1 if !defined $x;
61f5c3f5 856 ok ($x,'undef');
857 print "# Called from ",join(' ',caller()),"\n";
f9a08e12 858 return 0;
61f5c3f5 859 }
860
861###############################################################################
862# sub to check validity of a BigInt internally, to ensure that no op leaves a
863# number object in an invalid state (f.i. "-0")
864
865sub is_valid
866 {
867 my ($x,$f) = @_;
868
869 my $e = 0; # error?
870 # ok as reference?
871 $e = 'Not a reference' if !ref($x);
872
873 # has ok sign?
874 $e = "Illegal sign $x->{sign} (expected: '+', '-', '-inf', '+inf' or 'NaN'"
875 if $e eq '0' && $x->{sign} !~ /^(\+|-|\+inf|-inf|NaN)$/;
876
877 $e = "-0 is invalid!" if $e ne '0' && $x->{sign} eq '-' && $x == 0;
878 $e = $CALC->_check($x->{value}) if $e eq '0';
879
880 # test done, see if error did crop up
881 ok (1,1), return if ($e eq '0');
882
883 ok (1,$e." after op '$f'");
884 }
885
886# format is:
887# x,A,P:x,A,P:result
888# 123,,3 means 123 with precision 3 (A is undef)
889# the A or P of the result is calculated automatically
890__DATA__
891&badd
61f5c3f5 892123,,:123,,:246
893123,3,:0,,:123
894123,,-3:0,,:123
895123,,:0,3,:123
896123,,:0,,-3:123
897&bmul
898123,,:1,,:123
899123,3,:0,,:0
900123,,-3:0,,:0
901123,,:0,3,:0
902123,,:0,,-3:0
903123,3,:1,,:123
904123,,-3:1,,:123
905123,,:1,3,:123
906123,,:1,,-3:123
9071,3,:123,,:123
9081,,-3:123,,:123
9091,,:123,3,:123
9101,,:123,,-3:123
911&bdiv
912123,,:1,,:123
913123,4,:1,,:123
914123,,:1,4,:123
915123,,:1,,-4:123
916123,,-4:1,,:123
9171,4,:123,,:0
9181,,:123,4,:0
9191,,:123,,-4:0
9201,,-4:123,,:0
f9a08e12 921&band
9221,,:3,,:1
9231234,1,:0,,:0
9241234,,:0,1,:0
9251234,,-1:0,,:0
9261234,,:0,,-1:0
9270xFF,,:0x10,,:0x0x10
9280xFF,2,:0xFF,,:250
9290xFF,,:0xFF,2,:250
9300xFF,,1:0xFF,,:250
9310xFF,,:0xFF,,1:250
932&bxor
9331,,:3,,:2
9341234,1,:0,,:1000
9351234,,:0,1,:1000
9361234,,3:0,,:1000
9371234,,:0,,3:1000
9380xFF,,:0x10,,:239
939# 250 ^ 255 => 5
9400xFF,2,:0xFF,,:5
9410xFF,,:0xFF,2,:5
9420xFF,,1:0xFF,,:5
9430xFF,,:0xFF,,1:5
944# 250 ^ 4095 = 3845 => 3800
9450xFF,2,:0xFFF,,:3800
946# 255 ^ 4100 = 4347 => 4300
9470xFF,,:0xFFF,2,:4300
9480xFF,,2:0xFFF,,:3800
949# 255 ^ 4100 = 10fb => 4347 => 4300
9500xFF,,:0xFFF,,2:4300
951&bior
9521,,:3,,:3
9531234,1,:0,,:1000
9541234,,:0,1,:1000
9551234,,3:0,,:1000
9561234,,:0,,3:1000
9570xFF,,:0x10,,:0x0xFF
958# FF | FA = FF => 250
959250,2,:0xFF,,:250
9600xFF,,:250,2,:250
9610xFF,,1:0xFF,,:250
9620xFF,,:0xFF,,1:250
963&bpow
9642,,:3,,:8
9652,,:0,,:1
9662,2,:0,,:1
9672,,:0,2,:1
Unnamed repository; edit this file to name it for gitweb.