Commit | Line | Data |
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 | |
7 | my ($x,$y,$z,$u,$rc); |
8 | |
9 | ############################################################################### |
10 | # test defaults and set/get |
11 | |
12 | ok_undef (${"$mbi\::accuracy"}); |
13 | ok_undef (${"$mbi\::precision"}); |
14 | ok_undef ($mbi->accuracy()); |
15 | ok_undef ($mbi->precision()); |
16 | ok (${"$mbi\::div_scale"},40); |
17 | ok (${"$mbi\::round_mode"},'even'); |
18 | ok ($mbi->round_mode(),'even'); |
19 | |
20 | ok_undef (${"$mbf\::accuracy"}); |
21 | ok_undef (${"$mbf\::precision"}); |
22 | ok_undef ($mbf->precision()); |
23 | ok_undef ($mbf->precision()); |
24 | ok (${"$mbf\::div_scale"},40); |
25 | ok (${"$mbf\::round_mode"},'even'); |
26 | ok ($mbf->round_mode(),'even'); |
27 | |
28 | # accessors |
29 | foreach my $class ($mbi,$mbf) |
30 | { |
31 | ok_undef ($class->accuracy()); |
32 | ok_undef ($class->precision()); |
33 | ok ($class->round_mode(),'even'); |
34 | ok ($class->div_scale(),40); |
35 | |
36 | ok ($class->div_scale(20),20); |
37 | $class->div_scale(40); ok ($class->div_scale(),40); |
38 | |
39 | ok ($class->round_mode('odd'),'odd'); |
40 | $class->round_mode('even'); ok ($class->round_mode(),'even'); |
41 | |
42 | ok ($class->accuracy(2),2); |
43 | $class->accuracy(3); ok ($class->accuracy(),3); |
44 | ok_undef ($class->accuracy(undef)); |
45 | |
46 | ok ($class->precision(2),2); |
47 | ok ($class->precision(-2),-2); |
48 | $class->precision(3); ok ($class->precision(),3); |
49 | ok_undef ($class->precision(undef)); |
50 | } |
51 | |
52 | # accuracy |
53 | foreach (qw/5 42 -1 0/) |
54 | { |
55 | ok (${"$mbf\::accuracy"} = $_,$_); |
56 | ok (${"$mbi\::accuracy"} = $_,$_); |
57 | } |
58 | ok_undef (${"$mbf\::accuracy"} = undef); |
59 | ok_undef (${"$mbi\::accuracy"} = undef); |
60 | |
61 | # precision |
62 | foreach (qw/5 42 -1 0/) |
63 | { |
64 | ok (${"$mbf\::precision"} = $_,$_); |
65 | ok (${"$mbi\::precision"} = $_,$_); |
66 | } |
67 | ok_undef (${"$mbf\::precision"} = undef); |
68 | ok_undef (${"$mbi\::precision"} = undef); |
69 | |
70 | # fallback |
71 | foreach (qw/5 42 1/) |
72 | { |
73 | ok (${"$mbf\::div_scale"} = $_,$_); |
74 | ok (${"$mbi\::div_scale"} = $_,$_); |
75 | } |
76 | # illegal values are possible for fallback due to no accessor |
77 | |
78 | # round_mode |
79 | foreach (qw/odd even zero trunc +inf -inf/) |
80 | { |
81 | ok (${"$mbf\::round_mode"} = $_,$_); |
82 | ok (${"$mbi\::round_mode"} = $_,$_); |
83 | } |
84 | ${"$mbf\::round_mode"} = 'zero'; |
85 | ok (${"$mbf\::round_mode"},'zero'); |
86 | ok (${"$mbi\::round_mode"},'-inf'); # from above |
87 | |
88 | ${"$mbi\::accuracy"} = undef; |
89 | ${"$mbi\::precision"} = undef; |
90 | # local copies |
91 | $x = $mbf->new('123.456'); |
92 | ok_undef ($x->accuracy()); |
93 | ok ($x->accuracy(5),5); |
94 | ok_undef ($x->accuracy(undef),undef); |
95 | ok_undef ($x->precision()); |
96 | ok ($x->precision(5),5); |
97 | ok_undef ($x->precision(undef),undef); |
98 | |
99 | # see if MBF changes MBIs values |
100 | ok (${"$mbi\::accuracy"} = 42,42); |
101 | ok (${"$mbf\::accuracy"} = 64,64); |
102 | ok (${"$mbi\::accuracy"},42); # should be still 42 |
103 | ok (${"$mbf\::accuracy"},64); # should be now 64 |
104 | |
105 | ############################################################################### |
106 | # see if creating a number under set A or P will round it |
107 | |
108 | ${"$mbi\::accuracy"} = 4; |
109 | ${"$mbi\::precision"} = undef; |
110 | |
111 | ok ($mbi->new(123456),123500); # with A |
112 | ${"$mbi\::accuracy"} = undef; |
113 | ${"$mbi\::precision"} = 3; |
114 | ok ($mbi->new(123456),123000); # with P |
115 | |
116 | ${"$mbf\::accuracy"} = 4; |
117 | ${"$mbf\::precision"} = undef; |
118 | ${"$mbi\::precision"} = undef; |
119 | |
120 | ok ($mbf->new('123.456'),'123.5'); # with A |
121 | ${"$mbf\::accuracy"} = undef; |
122 | ${"$mbf\::precision"} = -1; |
123 | ok ($mbf->new('123.456'),'123.5'); # with P from MBF, not MBI! |
124 | |
125 | ${"$mbf\::precision"} = undef; # reset |
126 | |
127 | ############################################################################### |
128 | # see if MBI leaves MBF's private parts alone |
129 | |
130 | ${"$mbi\::precision"} = undef; ${"$mbf\::precision"} = undef; |
131 | ${"$mbi\::accuracy"} = 4; ${"$mbf\::accuracy"} = undef; |
f9a08e12 |
132 | ok ($mbf->new('123.456'),'123.456'); |
61f5c3f5 |
133 | ${"$mbi\::accuracy"} = undef; # reset |
134 | |
135 | ############################################################################### |
136 | # see if setting accuracy/precision actually rounds the number |
137 | |
138 | $x = $mbf->new('123.456'); $x->accuracy(4); ok ($x,'123.5'); |
139 | $x = $mbf->new('123.456'); $x->precision(-2); ok ($x,'123.46'); |
140 | |
141 | $x = $mbi->new(123456); $x->accuracy(4); ok ($x,123500); |
142 | $x = $mbi->new(123456); $x->precision(2); ok ($x,123500); |
143 | |
144 | ############################################################################### |
145 | # test actual rounding via round() |
146 | |
147 | $x = $mbf->new('123.456'); |
148 | ok ($x->copy()->round(5),'123.46'); |
149 | ok ($x->copy()->round(4),'123.5'); |
150 | ok ($x->copy()->round(5,2),'NaN'); |
151 | ok ($x->copy()->round(undef,-2),'123.46'); |
b3abae2a |
152 | ok ($x->copy()->round(undef,2),120); |
61f5c3f5 |
153 | |
154 | $x = $mbi->new('123'); |
155 | ok ($x->round(5,2),'NaN'); |
156 | |
157 | $x = $mbf->new('123.45000'); |
158 | ok ($x->copy()->round(undef,-1,'odd'),'123.5'); |
159 | |
160 | # see if rounding is 'sticky' |
161 | $x = $mbf->new('123.4567'); |
162 | $y = $x->copy()->bround(); # no-op since nowhere A or P defined |
163 | |
164 | ok ($y,123.4567); |
165 | $y = $x->copy()->round(5); |
166 | ok ($y->accuracy(),5); |
167 | ok_undef ($y->precision()); # A has precedence, so P still unset |
168 | $y = $x->copy()->round(undef,2); |
169 | ok ($y->precision(),2); |
170 | ok_undef ($y->accuracy()); # P has precedence, so A still unset |
171 | |
172 | # see if setting A clears P and vice versa |
173 | $x = $mbf->new('123.4567'); |
174 | ok ($x,'123.4567'); |
175 | ok ($x->accuracy(4),4); |
176 | ok ($x->precision(-2),-2); # clear A |
177 | ok_undef ($x->accuracy()); |
178 | |
179 | $x = $mbf->new('123.4567'); |
180 | ok ($x,'123.4567'); |
181 | ok ($x->precision(-2),-2); |
182 | ok ($x->accuracy(4),4); # clear P |
183 | ok_undef ($x->precision()); |
184 | |
185 | # does copy work? |
186 | $x = $mbf->new(123.456); $x->accuracy(4); $x->precision(2); |
187 | $z = $x->copy(); ok_undef ($z->accuracy(),undef); ok ($z->precision(),2); |
188 | |
189 | # does accuracy()/precision work on zeros? |
190 | foreach my $class ($mbi,$mbf) |
191 | { |
192 | $x = $class->bzero(); $x->accuracy(5); ok ($x->{_a},5); |
193 | $x = $class->bzero(); $x->precision(5); ok ($x->{_p},5); |
194 | $x = $class->new(0); $x->accuracy(5); ok ($x->{_a},5); |
195 | $x = $class->new(0); $x->precision(5); ok ($x->{_p},5); |
196 | |
197 | $x = $class->bzero(); $x->round(5); ok ($x->{_a},5); |
198 | $x = $class->bzero(); $x->round(undef,5); ok ($x->{_p},5); |
199 | $x = $class->new(0); $x->round(5); ok ($x->{_a},5); |
200 | $x = $class->new(0); $x->round(undef,5); ok ($x->{_p},5); |
201 | |
202 | # see if trying to increasing A in bzero() doesn't do something |
203 | $x = $class->bzero(); $x->{_a} = 3; $x->round(5); ok ($x->{_a},3); |
204 | } |
205 | |
206 | ############################################################################### |
207 | # test wether operations round properly afterwards |
208 | # These tests are not complete, since they do not excercise every "return" |
209 | # statement in the op's. But heh, it's better than nothing... |
210 | |
211 | $x = $mbf->new('123.456'); |
212 | $y = $mbf->new('654.321'); |
213 | $x->{_a} = 5; # $x->accuracy(5) would round $x straightaway |
214 | $y->{_a} = 4; # $y->accuracy(4) would round $x straightaway |
215 | |
216 | $z = $x + $y; ok ($z,'777.8'); |
217 | $z = $y - $x; ok ($z,'530.9'); |
218 | $z = $y * $x; ok ($z,'80780'); |
219 | $z = $x ** 2; ok ($z,'15241'); |
220 | $z = $x * $x; ok ($z,'15241'); |
221 | |
222 | # not: $z = -$x; ok ($z,'-123.46'); ok ($x,'123.456'); |
223 | $z = $x->copy(); $z->{_a} = 2; $z = $z / 2; ok ($z,62); |
224 | $x = $mbf->new(123456); $x->{_a} = 4; |
225 | $z = $x->copy; $z++; ok ($z,123500); |
226 | |
227 | $x = $mbi->new(123456); |
228 | $y = $mbi->new(654321); |
229 | $x->{_a} = 5; # $x->accuracy(5) would round $x straightaway |
230 | $y->{_a} = 4; # $y->accuracy(4) would round $x straightaway |
231 | |
232 | $z = $x + $y; ok ($z,777800); |
233 | $z = $y - $x; ok ($z,530900); |
234 | $z = $y * $x; ok ($z,80780000000); |
235 | $z = $x ** 2; ok ($z,15241000000); |
236 | # not yet: $z = -$x; ok ($z,-123460); ok ($x,123456); |
237 | $z = $x->copy; $z++; ok ($z,123460); |
238 | $z = $x->copy(); $z->{_a} = 2; $z = $z / 2; ok ($z,62000); |
239 | |
240 | $x = $mbi->new(123400); $x->{_a} = 4; |
241 | ok ($x->bnot(),-123400); # not -1234001 |
242 | |
243 | # both babs() and bneg() don't need to round, since the input will already |
244 | # be rounded (either as $x or via new($string)), and they don't change the |
245 | # value. The two tests below peek at this by using _a (illegally) directly |
246 | $x = $mbi->new(-123401); $x->{_a} = 4; ok ($x->babs(),123401); |
247 | $x = $mbi->new(-123401); $x->{_a} = 4; ok ($x->bneg(),123401); |
248 | |
249 | # test fdiv rounding to A and R (bug in v1.48 and maybe earlier versions) |
250 | $mbf->round_mode('even'); |
251 | $x = $mbf->new('740.7')->fdiv('6',4,undef,'zero'); ok ($x,'123.4'); |
252 | |
253 | ############################################################################### |
f9a08e12 |
254 | # test (also under Bare) that bfac() rounds at last step |
255 | |
256 | ok ($mbi->new(12)->bfac(),'479001600'); |
257 | ok ($mbi->new(12)->bfac(2),'480000000'); |
258 | $x = $mbi->new(12); $x->accuracy(2); ok ($x->bfac(),'480000000'); |
259 | $x = $mbi->new(13); $x->accuracy(2); ok ($x->bfac(),'6200000000'); |
260 | $x = $mbi->new(13); $x->accuracy(3); ok ($x->bfac(),'6230000000'); |
261 | $x = $mbi->new(13); $x->accuracy(4); ok ($x->bfac(),'6227000000'); |
262 | # this does 1,2,3...9,10,11,12...20 |
263 | $x = $mbi->new(20); $x->accuracy(1); ok ($x->bfac(),'2000000000000000000'); |
264 | |
265 | ############################################################################### |
266 | # test bsqrt) rounding to given A/P/R (bug prior to v1.60) |
267 | $x = $mbi->new('123456')->bsqrt(2,undef); ok ($x,'350'); # not 351 |
268 | $x = $mbi->new('3')->bsqrt(2,undef); ok ($x->accuracy(),2); |
269 | |
270 | $mbi->round_mode('even'); $x = $mbi->new('126025')->bsqrt(2,undef,'+inf'); |
271 | ok ($x,'360'); # not 355 nor 350 |
272 | |
273 | $x = $mbi->new('126025')->bsqrt(undef,2); ok ($x,'400'); # not 355 |
274 | |
275 | |
276 | ############################################################################### |
61f5c3f5 |
277 | # test mixed arguments |
278 | |
279 | $x = $mbf->new(10); |
280 | $u = $mbf->new(2.5); |
281 | $y = $mbi->new(2); |
282 | |
283 | $z = $x + $y; ok ($z,12); ok (ref($z),$mbf); |
284 | $z = $x / $y; ok ($z,5); ok (ref($z),$mbf); |
285 | $z = $u * $y; ok ($z,5); ok (ref($z),$mbf); |
286 | |
287 | $y = $mbi->new(12345); |
288 | $z = $u->copy()->bmul($y,2,undef,'odd'); ok ($z,31000); |
289 | $z = $u->copy()->bmul($y,3,undef,'odd'); ok ($z,30900); |
290 | $z = $u->copy()->bmul($y,undef,0,'odd'); ok ($z,30863); |
b3abae2a |
291 | $z = $u->copy()->bmul($y,undef,1,'odd'); ok ($z,30863); |
292 | $z = $u->copy()->bmul($y,undef,2,'odd'); ok ($z,30860); |
293 | $z = $u->copy()->bmul($y,undef,3,'odd'); ok ($z,30900); |
61f5c3f5 |
294 | $z = $u->copy()->bmul($y,undef,-1,'odd'); ok ($z,30862.5); |
295 | |
296 | # breakage: |
297 | # $z = $y->copy()->bmul($u,2,0,'odd'); ok ($z,31000); |
298 | # $z = $y * $u; ok ($z,5); ok (ref($z),$mbi); |
299 | # $z = $y + $x; ok ($z,12); ok (ref($z),$mbi); |
300 | # $z = $y / $x; ok ($z,0); ok (ref($z),$mbi); |
301 | |
302 | ############################################################################### |
303 | # rounding in bdiv with fallback and already set A or P |
304 | |
305 | ${"$mbf\::accuracy"} = undef; |
306 | ${"$mbf\::precision"} = undef; |
307 | ${"$mbf\::div_scale"} = 40; |
308 | |
309 | $x = $mbf->new(10); $x->{_a} = 4; |
310 | ok ($x->bdiv(3),'3.333'); |
311 | ok ($x->{_a},4); # set's it since no fallback |
312 | |
313 | $x = $mbf->new(10); $x->{_a} = 4; $y = $mbf->new(3); |
314 | ok ($x->bdiv($y),'3.333'); |
315 | ok ($x->{_a},4); # set's it since no fallback |
316 | |
317 | # rounding to P of x |
318 | $x = $mbf->new(10); $x->{_p} = -2; |
319 | ok ($x->bdiv(3),'3.33'); |
320 | |
321 | # round in div with requested P |
322 | $x = $mbf->new(10); |
323 | ok ($x->bdiv(3,undef,-2),'3.33'); |
324 | |
325 | # round in div with requested P greater than fallback |
326 | ${"$mbf\::div_scale"} = 5; |
327 | $x = $mbf->new(10); |
328 | ok ($x->bdiv(3,undef,-8),'3.33333333'); |
329 | ${"$mbf\::div_scale"} = 40; |
330 | |
331 | $x = $mbf->new(10); $y = $mbf->new(3); $y->{_a} = 4; |
332 | ok ($x->bdiv($y),'3.333'); |
333 | ok ($x->{_a},4); ok ($y->{_a},4); # set's it since no fallback |
334 | ok_undef ($x->{_p}); ok_undef ($y->{_p}); |
335 | |
336 | # rounding to P of y |
337 | $x = $mbf->new(10); $y = $mbf->new(3); $y->{_p} = -2; |
338 | ok ($x->bdiv($y),'3.33'); |
339 | ok ($x->{_p},-2); |
340 | ok ($y->{_p},-2); |
341 | ok_undef ($x->{_a}); ok_undef ($y->{_a}); |
342 | |
343 | ############################################################################### |
344 | # test whether bround(-n) fails in MBF (undocumented in MBI) |
345 | eval { $x = $mbf->new(1); $x->bround(-2); }; |
346 | ok ($@ =~ /^bround\(\) needs positive accuracy/,1); |
347 | |
348 | # test whether rounding to higher accuracy is no-op |
349 | $x = $mbf->new(1); $x->{_a} = 4; |
350 | ok ($x,'1.000'); |
351 | $x->bround(6); # must be no-op |
352 | ok ($x->{_a},4); |
353 | ok ($x,'1.000'); |
354 | |
355 | $x = $mbi->new(1230); $x->{_a} = 3; |
356 | ok ($x,'1230'); |
357 | $x->bround(6); # must be no-op |
358 | ok ($x->{_a},3); |
359 | ok ($x,'1230'); |
360 | |
361 | # bround(n) should set _a |
362 | $x->bround(2); # smaller works |
363 | ok ($x,'1200'); |
364 | ok ($x->{_a},2); |
365 | |
366 | # bround(-n) is undocumented and only used by MBF |
367 | # bround(-n) should set _a |
368 | $x = $mbi->new(12345); |
369 | $x->bround(-1); |
370 | ok ($x,'12300'); |
371 | ok ($x->{_a},4); |
372 | |
373 | # bround(-n) should set _a |
374 | $x = $mbi->new(12345); |
375 | $x->bround(-2); |
376 | ok ($x,'12000'); |
377 | ok ($x->{_a},3); |
378 | |
379 | # bround(-n) should set _a |
380 | $x = $mbi->new(12345); $x->{_a} = 5; |
381 | $x->bround(-3); |
382 | ok ($x,'10000'); |
383 | ok ($x->{_a},2); |
384 | |
385 | # bround(-n) should set _a |
386 | $x = $mbi->new(12345); $x->{_a} = 5; |
387 | $x->bround(-4); |
388 | ok ($x,'0'); |
389 | ok ($x->{_a},1); |
390 | |
391 | # bround(-n) should be noop if n too big |
392 | $x = $mbi->new(12345); |
393 | $x->bround(-5); |
394 | ok ($x,'0'); # scale to "big" => 0 |
395 | ok ($x->{_a},0); |
396 | |
397 | # bround(-n) should be noop if n too big |
398 | $x = $mbi->new(54321); |
399 | $x->bround(-5); |
400 | ok ($x,'100000'); # used by MBF to round 0.0054321 at 0.0_6_00000 |
401 | ok ($x->{_a},0); |
402 | |
403 | # bround(-n) should be noop if n too big |
404 | $x = $mbi->new(54321); $x->{_a} = 5; |
405 | $x->bround(-6); |
406 | ok ($x,'100000'); # no-op |
407 | ok ($x->{_a},0); |
408 | |
409 | # bround(n) should set _a |
410 | $x = $mbi->new(12345); $x->{_a} = 5; |
411 | $x->bround(5); # must be no-op |
412 | ok ($x,'12345'); |
413 | ok ($x->{_a},5); |
414 | |
415 | # bround(n) should set _a |
416 | $x = $mbi->new(12345); $x->{_a} = 5; |
417 | $x->bround(6); # must be no-op |
418 | ok ($x,'12345'); |
419 | |
b3abae2a |
420 | $x = $mbf->new('0.0061'); $x->bfround(-2); ok ($x,'0.01'); |
421 | $x = $mbf->new('0.004'); $x->bfround(-2); ok ($x,'0.00'); |
422 | $x = $mbf->new('0.005'); $x->bfround(-2); ok ($x,'0.00'); |
423 | |
424 | $x = $mbf->new('12345'); $x->bfround(2); ok ($x,'12340'); |
425 | $x = $mbf->new('12340'); $x->bfround(2); ok ($x,'12340'); |
61f5c3f5 |
426 | |
427 | # MBI::bfround should clear A for negative P |
428 | $x = $mbi->new('1234'); $x->accuracy(3); $x->bfround(-2); |
429 | ok_undef ($x->{_a}); |
430 | |
431 | ############################################################################### |
432 | # rounding with already set precision/accuracy |
433 | |
434 | $x = $mbf->new(1); $x->{_p} = -5; |
435 | ok ($x,'1.00000'); |
436 | |
437 | # further rounding donw |
438 | ok ($x->bfround(-2),'1.00'); |
439 | ok ($x->{_p},-2); |
440 | |
441 | $x = $mbf->new(12345); $x->{_a} = 5; |
442 | ok ($x->bround(2),'12000'); |
443 | ok ($x->{_a},2); |
444 | |
445 | $x = $mbf->new('1.2345'); $x->{_a} = 5; |
446 | ok ($x->bround(2),'1.2'); |
447 | ok ($x->{_a},2); |
448 | |
449 | # mantissa/exponent format and A/P |
450 | $x = $mbf->new('12345.678'); $x->accuracy(4); |
451 | ok ($x,'12350'); ok ($x->{_a},4); ok_undef ($x->{_p}); |
452 | ok_undef ($x->{_m}->{_a}); ok_undef ($x->{_e}->{_a}); |
453 | ok_undef ($x->{_m}->{_p}); ok_undef ($x->{_e}->{_p}); |
454 | |
455 | # check for no A/P in case of fallback |
456 | # result |
457 | $x = $mbf->new(100) / 3; |
458 | ok_undef ($x->{_a}); ok_undef ($x->{_p}); |
459 | |
460 | # result & reminder |
461 | $x = $mbf->new(100) / 3; ($x,$y) = $x->bdiv(3); |
462 | ok_undef ($x->{_a}); ok_undef ($x->{_p}); |
463 | ok_undef ($y->{_a}); ok_undef ($y->{_p}); |
464 | |
465 | ############################################################################### |
466 | # math with two numbers with differen A and P |
467 | |
468 | $x = $mbf->new(12345); $x->accuracy(4); # '12340' |
469 | $y = $mbf->new(12345); $y->accuracy(2); # '12000' |
470 | ok ($x+$y,24000); # 12340+12000=> 24340 => 24000 |
471 | |
472 | $x = $mbf->new(54321); $x->accuracy(4); # '12340' |
473 | $y = $mbf->new(12345); $y->accuracy(3); # '12000' |
474 | ok ($x-$y,42000); # 54320+12300=> 42020 => 42000 |
475 | |
476 | $x = $mbf->new('1.2345'); $x->precision(-2); # '1.23' |
477 | $y = $mbf->new('1.2345'); $y->precision(-4); # '1.2345' |
478 | ok ($x+$y,'2.46'); # 1.2345+1.2300=> 2.4645 => 2.46 |
479 | |
480 | ############################################################################### |
481 | # round should find and use proper class |
482 | |
483 | #$x = Foo->new(); |
484 | #ok ($x->round($Foo::accuracy),'a' x $Foo::accuracy); |
485 | #ok ($x->round(undef,$Foo::precision),'p' x $Foo::precision); |
486 | #ok ($x->bfround($Foo::precision),'p' x $Foo::precision); |
487 | #ok ($x->bround($Foo::accuracy),'a' x $Foo::accuracy); |
488 | |
489 | ############################################################################### |
490 | # find out whether _find_round_parameters is doing what's it's supposed to do |
491 | |
492 | ${"$mbi\::accuracy"} = undef; |
493 | ${"$mbi\::precision"} = undef; |
494 | ${"$mbi\::div_scale"} = 40; |
495 | ${"$mbi\::round_mode"} = 'odd'; |
496 | |
497 | $x = $mbi->new(123); |
498 | my @params = $x->_find_round_parameters(); |
499 | ok (scalar @params,1); # nothing to round |
500 | |
501 | @params = $x->_find_round_parameters(1); |
502 | ok (scalar @params,4); # a=1 |
503 | ok ($params[0],$x); # self |
504 | ok ($params[1],1); # a |
505 | ok_undef ($params[2]); # p |
506 | ok ($params[3],'odd'); # round_mode |
507 | |
508 | @params = $x->_find_round_parameters(undef,2); |
509 | ok (scalar @params,4); # p=2 |
510 | ok ($params[0],$x); # self |
511 | ok_undef ($params[1]); # a |
512 | ok ($params[2],2); # p |
513 | ok ($params[3],'odd'); # round_mode |
514 | |
515 | eval { @params = $x->_find_round_parameters(undef,2,'foo'); }; |
516 | ok ($@ =~ /^Unknown round mode 'foo'/,1); |
517 | |
518 | @params = $x->_find_round_parameters(undef,2,'+inf'); |
519 | ok (scalar @params,4); # p=2 |
520 | ok ($params[0],$x); # self |
521 | ok_undef ($params[1]); # a |
522 | ok ($params[2],2); # p |
523 | ok ($params[3],'+inf'); # round_mode |
524 | |
525 | @params = $x->_find_round_parameters(2,-2,'+inf'); |
526 | ok (scalar @params,1); # error, A and P defined |
527 | ok ($params[0],$x); # self |
528 | |
529 | ${"$mbi\::accuracy"} = 1; |
530 | @params = $x->_find_round_parameters(undef,-2); |
531 | ok (scalar @params,1); # error, A and P defined |
532 | ok ($params[0],$x); # self |
533 | |
534 | ${"$mbi\::accuracy"} = undef; |
535 | ${"$mbi\::precision"} = 1; |
536 | @params = $x->_find_round_parameters(1,undef); |
537 | ok (scalar @params,1); # error, A and P defined |
538 | ok ($params[0],$x); # self |
539 | |
540 | ${"$mbi\::precision"} = undef; # reset |
541 | |
542 | ############################################################################### |
543 | # test whether bone/bzero take additional A & P, or reset it etc |
544 | |
f9a08e12 |
545 | foreach my $c ($mbi,$mbf) |
61f5c3f5 |
546 | { |
f9a08e12 |
547 | $x = $c->new(2)->bzero(); ok_undef ($x->{_a}); ok_undef ($x->{_p}); |
548 | $x = $c->new(2)->bone(); ok_undef ($x->{_a}); ok_undef ($x->{_p}); |
549 | $x = $c->new(2)->binf(); ok_undef ($x->{_a}); ok_undef ($x->{_p}); |
550 | $x = $c->new(2)->bnan(); ok_undef ($x->{_a}); ok_undef ($x->{_p}); |
61f5c3f5 |
551 | |
f9a08e12 |
552 | $x = $c->new(2); $x->{_a} = 1; $x->{_p} = 2; $x->bnan(); |
61f5c3f5 |
553 | ok_undef ($x->{_a}); ok_undef ($x->{_p}); |
f9a08e12 |
554 | $x = $c->new(2); $x->{_a} = 1; $x->{_p} = 2; $x->binf(); |
61f5c3f5 |
555 | ok_undef ($x->{_a}); ok_undef ($x->{_p}); |
556 | |
f9a08e12 |
557 | $x = $c->new(2,1); ok ($x->{_a},1); ok_undef ($x->{_p}); |
558 | $x = $c->new(2,undef,1); ok_undef ($x->{_a}); ok ($x->{_p},1); |
559 | |
560 | $x = $c->new(2,1)->bzero(); ok ($x->{_a},1); ok_undef ($x->{_p}); |
561 | $x = $c->new(2,undef,1)->bzero(); ok_undef ($x->{_a}); ok ($x->{_p},1); |
562 | |
563 | $x = $c->new(2,1)->bone(); ok ($x->{_a},1); ok_undef ($x->{_p}); |
564 | $x = $c->new(2,undef,1)->bone(); ok_undef ($x->{_a}); ok ($x->{_p},1); |
565 | |
566 | $x = $c->new(2); $x->bone('+',2,undef); ok ($x->{_a},2); ok_undef ($x->{_p}); |
567 | $x = $c->new(2); $x->bone('+',undef,2); ok_undef ($x->{_a}); ok ($x->{_p},2); |
568 | $x = $c->new(2); $x->bone('-',2,undef); ok ($x->{_a},2); ok_undef ($x->{_p}); |
569 | $x = $c->new(2); $x->bone('-',undef,2); ok_undef ($x->{_a}); ok ($x->{_p},2); |
61f5c3f5 |
570 | |
f9a08e12 |
571 | $x = $c->new(2); $x->bzero(2,undef); ok ($x->{_a},2); ok_undef ($x->{_p}); |
572 | $x = $c->new(2); $x->bzero(undef,2); ok_undef ($x->{_a}); ok ($x->{_p},2); |
573 | } |
574 | |
575 | ############################################################################### |
576 | # test whether bone/bzero honour globals |
61f5c3f5 |
577 | |
f9a08e12 |
578 | for my $c ($mbi,$mbf) |
579 | { |
580 | $c->accuracy(2); |
581 | $x = $c->bone(); ok ($x->accuracy(),2); |
582 | $x = $c->bzero(); ok ($x->accuracy(),2); |
583 | $c->accuracy(undef); |
584 | |
585 | $c->precision(-2); |
586 | $x = $c->bone(); ok ($x->precision(),-2); |
587 | $x = $c->bzero(); ok ($x->precision(),-2); |
588 | $c->precision(undef); |
61f5c3f5 |
589 | } |
590 | |
591 | ############################################################################### |
592 | # check whether mixing A and P creates a NaN |
593 | |
594 | # new with set accuracy/precision and with parameters |
595 | |
f9a08e12 |
596 | foreach my $c ($mbi,$mbf) |
61f5c3f5 |
597 | { |
f9a08e12 |
598 | ok ($c->new(123,4,-3),'NaN'); # with parameters |
599 | ${"$c\::accuracy"} = 42; |
600 | ${"$c\::precision"} = 2; |
601 | ok ($c->new(123),'NaN'); # with globals |
602 | ${"$c\::accuracy"} = undef; |
603 | ${"$c\::precision"} = undef; |
61f5c3f5 |
604 | } |
605 | |
606 | # binary ops |
607 | foreach my $class ($mbi,$mbf) |
608 | { |
609 | foreach (qw/add sub mul pow mod/) |
610 | #foreach (qw/add sub mul div pow mod/) |
611 | { |
612 | my $try = "my \$x = $class->new(1234); \$x->accuracy(5); "; |
613 | $try .= "my \$y = $class->new(12); \$y->precision(-3); "; |
614 | $try .= "\$x->b$_(\$y);"; |
615 | $rc = eval $try; |
616 | print "# Tried: '$try'\n" if !ok ($rc, 'NaN'); |
617 | } |
618 | } |
619 | |
620 | # unary ops |
621 | foreach (qw/new bsqrt/) |
622 | { |
623 | my $try = 'my $x = $mbi->$_(1234,5,-3); '; |
624 | $rc = eval $try; |
625 | print "# Tried: '$try'\n" if !ok ($rc, 'NaN'); |
626 | } |
627 | |
28df3e88 |
628 | # see if $x->bsub(0) and $x->badd(0) really round |
629 | foreach my $class ($mbi,$mbf) |
630 | { |
631 | $x = $class->new(123); $class->accuracy(2); $x->bsub(0); |
632 | ok ($x,120); |
633 | $class->accuracy(undef); |
634 | $x = $class->new(123); $class->accuracy(2); $x->badd(0); |
635 | ok ($x,120); |
636 | $class->accuracy(undef); |
637 | } |
b3abae2a |
638 | |
61f5c3f5 |
639 | ############################################################################### |
640 | # test whether shortcuts returning zero/one preserve A and P |
641 | |
642 | my ($ans1,$f,$a,$p,$xp,$yp,$xa,$ya,$try,$ans,@args); |
b3abae2a |
643 | my $CALC = Math::BigInt->config()->{lib}; |
61f5c3f5 |
644 | while (<DATA>) |
645 | { |
d614cd8b |
646 | chomp; |
61f5c3f5 |
647 | next if /^\s*(#|$)/; # skip comments and empty lines |
648 | if (s/^&//) |
649 | { |
650 | $f = $_; next; # function |
651 | } |
652 | @args = split(/:/,$_,99); |
653 | my $ans = pop(@args); |
654 | |
655 | ($x,$xa,$xp) = split (/,/,$args[0]); |
656 | $xa = $xa || ''; $xp = $xp || ''; |
657 | $try = "\$x = $mbi->new('$x'); "; |
658 | $try .= "\$x->accuracy($xa); " if $xa ne ''; |
659 | $try .= "\$x->precision($xp); " if $xp ne ''; |
660 | |
661 | ($y,$ya,$yp) = split (/,/,$args[1]); |
662 | $ya = $ya || ''; $yp = $yp || ''; |
663 | $try .= "\$y = $mbi->new('$y'); "; |
664 | $try .= "\$y->accuracy($ya); " if $ya ne ''; |
665 | $try .= "\$y->precision($yp); " if $yp ne ''; |
666 | |
667 | $try .= "\$x->$f(\$y);"; |
668 | |
669 | # print "trying $try\n"; |
670 | $rc = eval $try; |
671 | # convert hex/binary targets to decimal |
672 | if ($ans =~ /^(0x0x|0b0b)/) |
673 | { |
674 | $ans =~ s/^0[xb]//; |
675 | $ans = $mbi->new($ans)->bstr(); |
676 | } |
677 | print "# Tried: '$try'\n" if !ok ($rc, $ans); |
678 | # check internal state of number objects |
679 | is_valid($rc,$f) if ref $rc; |
680 | |
681 | # now check whether A and P are set correctly |
682 | # only one of $a or $p will be set (no crossing here) |
683 | $a = $xa || $ya; $p = $xp || $yp; |
684 | |
685 | # print "Check a=$a p=$p\n"; |
b3abae2a |
686 | # print "# Tried: '$try'\n"; |
f9a08e12 |
687 | if ($a ne '') |
688 | { |
689 | if (!(ok ($x->{_a}, $a) && ok_undef ($x->{_p}))) |
690 | { |
691 | print "# Check: A=$a and P=undef\n"; |
692 | print "# Tried: '$try'\n"; |
693 | } |
694 | } |
695 | if ($p ne '') |
696 | { |
697 | if (!(ok ($x->{_p}, $p) && ok_undef ($x->{_a}))) |
698 | { |
699 | print "# Check: A=undef and P=$p\n"; |
700 | print "# Tried: '$try'\n"; |
701 | } |
702 | } |
61f5c3f5 |
703 | } |
704 | |
705 | # all done |
706 | 1; |
707 | |
708 | ############################################################################### |
709 | ############################################################################### |
710 | # Perl 5.005 does not like ok ($x,undef) |
711 | |
712 | sub ok_undef |
713 | { |
714 | my $x = shift; |
715 | |
f9a08e12 |
716 | ok (1,1) and return 1 if !defined $x; |
61f5c3f5 |
717 | ok ($x,'undef'); |
718 | print "# Called from ",join(' ',caller()),"\n"; |
f9a08e12 |
719 | return 0; |
61f5c3f5 |
720 | } |
721 | |
722 | ############################################################################### |
723 | # sub to check validity of a BigInt internally, to ensure that no op leaves a |
724 | # number object in an invalid state (f.i. "-0") |
725 | |
726 | sub is_valid |
727 | { |
728 | my ($x,$f) = @_; |
729 | |
730 | my $e = 0; # error? |
731 | # ok as reference? |
732 | $e = 'Not a reference' if !ref($x); |
733 | |
734 | # has ok sign? |
735 | $e = "Illegal sign $x->{sign} (expected: '+', '-', '-inf', '+inf' or 'NaN'" |
736 | if $e eq '0' && $x->{sign} !~ /^(\+|-|\+inf|-inf|NaN)$/; |
737 | |
738 | $e = "-0 is invalid!" if $e ne '0' && $x->{sign} eq '-' && $x == 0; |
739 | $e = $CALC->_check($x->{value}) if $e eq '0'; |
740 | |
741 | # test done, see if error did crop up |
742 | ok (1,1), return if ($e eq '0'); |
743 | |
744 | ok (1,$e." after op '$f'"); |
745 | } |
746 | |
747 | # format is: |
748 | # x,A,P:x,A,P:result |
749 | # 123,,3 means 123 with precision 3 (A is undef) |
750 | # the A or P of the result is calculated automatically |
751 | __DATA__ |
752 | &badd |
61f5c3f5 |
753 | 123,,:123,,:246 |
754 | 123,3,:0,,:123 |
755 | 123,,-3:0,,:123 |
756 | 123,,:0,3,:123 |
757 | 123,,:0,,-3:123 |
758 | &bmul |
759 | 123,,:1,,:123 |
760 | 123,3,:0,,:0 |
761 | 123,,-3:0,,:0 |
762 | 123,,:0,3,:0 |
763 | 123,,:0,,-3:0 |
764 | 123,3,:1,,:123 |
765 | 123,,-3:1,,:123 |
766 | 123,,:1,3,:123 |
767 | 123,,:1,,-3:123 |
768 | 1,3,:123,,:123 |
769 | 1,,-3:123,,:123 |
770 | 1,,:123,3,:123 |
771 | 1,,:123,,-3:123 |
772 | &bdiv |
773 | 123,,:1,,:123 |
774 | 123,4,:1,,:123 |
775 | 123,,:1,4,:123 |
776 | 123,,:1,,-4:123 |
777 | 123,,-4:1,,:123 |
778 | 1,4,:123,,:0 |
779 | 1,,:123,4,:0 |
780 | 1,,:123,,-4:0 |
781 | 1,,-4:123,,:0 |
f9a08e12 |
782 | &band |
783 | 1,,:3,,:1 |
784 | 1234,1,:0,,:0 |
785 | 1234,,:0,1,:0 |
786 | 1234,,-1:0,,:0 |
787 | 1234,,:0,,-1:0 |
788 | 0xFF,,:0x10,,:0x0x10 |
789 | 0xFF,2,:0xFF,,:250 |
790 | 0xFF,,:0xFF,2,:250 |
791 | 0xFF,,1:0xFF,,:250 |
792 | 0xFF,,:0xFF,,1:250 |
793 | &bxor |
794 | 1,,:3,,:2 |
795 | 1234,1,:0,,:1000 |
796 | 1234,,:0,1,:1000 |
797 | 1234,,3:0,,:1000 |
798 | 1234,,:0,,3:1000 |
799 | 0xFF,,:0x10,,:239 |
800 | # 250 ^ 255 => 5 |
801 | 0xFF,2,:0xFF,,:5 |
802 | 0xFF,,:0xFF,2,:5 |
803 | 0xFF,,1:0xFF,,:5 |
804 | 0xFF,,:0xFF,,1:5 |
805 | # 250 ^ 4095 = 3845 => 3800 |
806 | 0xFF,2,:0xFFF,,:3800 |
807 | # 255 ^ 4100 = 4347 => 4300 |
808 | 0xFF,,:0xFFF,2,:4300 |
809 | 0xFF,,2:0xFFF,,:3800 |
810 | # 255 ^ 4100 = 10fb => 4347 => 4300 |
811 | 0xFF,,:0xFFF,,2:4300 |
812 | &bior |
813 | 1,,:3,,:3 |
814 | 1234,1,:0,,:1000 |
815 | 1234,,:0,1,:1000 |
816 | 1234,,3:0,,:1000 |
817 | 1234,,:0,,3:1000 |
818 | 0xFF,,:0x10,,:0x0xFF |
819 | # FF | FA = FF => 250 |
820 | 250,2,:0xFF,,:250 |
821 | 0xFF,,:250,2,:250 |
822 | 0xFF,,1:0xFF,,:250 |
823 | 0xFF,,:0xFF,,1:250 |
824 | &bpow |
825 | 2,,:3,,:8 |
826 | 2,,:0,,:1 |
827 | 2,2,:0,,:1 |
828 | 2,,:0,2,:1 |