1bigfloat(3) User Contributed Perl Documentation bigfloat(3)
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6 bigfloat - transparent big floating point number support for Perl
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9 use bigfloat;
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11 $x = 2 + 4.5; # Math::BigFloat 6.5
12 print 2 ** 512 * 0.1; # Math::BigFloat 134...09.6
13 print inf + 42; # Math::BigFloat inf
14 print NaN * 7; # Math::BigFloat NaN
15 print hex("0x1234567890123490"); # Perl v5.10.0 or later
16
17 {
18 no bigfloat;
19 print 2 ** 256; # a normal Perl scalar now
20 }
21
22 # for older Perls, import into current package:
23 use bigfloat qw/hex oct/;
24 print hex("0x1234567890123490");
25 print oct("01234567890123490");
26
28 All numeric literals in the given scope are converted to Math::BigFloat
29 objects.
30
31 All operators (including basic math operations) except the range
32 operator ".." are overloaded.
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34 So, the following:
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36 use bigfloat;
37 $x = 1234;
38
39 creates a Math::BigFloat and stores a reference to in $x. This happens
40 transparently and behind your back, so to speak.
41
42 You can see this with the following:
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44 perl -Mbigfloat -le 'print ref(1234)'
45
46 Since numbers are actually objects, you can call all the usual methods
47 from Math::BigFloat on them. This even works to some extent on
48 expressions:
49
50 perl -Mbigfloat -le '$x = 1234; print $x->bdec()'
51 perl -Mbigfloat -le 'print 1234->copy()->binc();'
52 perl -Mbigfloat -le 'print 1234->copy()->binc->badd(6);'
53 perl -Mbigfloat -le 'print +(1234)->copy()->binc()'
54
55 (Note that print doesn't do what you expect if the expression starts
56 with '(' hence the "+")
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58 You can even chain the operations together as usual:
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60 perl -Mbigfloat -le 'print 1234->copy()->binc->badd(6);'
61 1241
62
63 Please note the following does not work as expected (prints nothing),
64 since overloading of '..' is not yet possible in Perl (as of v5.8.0):
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66 perl -Mbigfloat -le 'for (1..2) { print ref($_); }'
67
68 Options
69 "bigfloat" recognizes some options that can be passed while loading it
70 via via "use". The following options exist:
71
72 a or accuracy
73 This sets the accuracy for all math operations. The argument must
74 be greater than or equal to zero. See Math::BigInt's bround()
75 method for details.
76
77 perl -Mbigfloat=a,50 -le 'print sqrt(20)'
78
79 Note that setting precision and accuracy at the same time is not
80 possible.
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82 p or precision
83 This sets the precision for all math operations. The argument can
84 be any integer. Negative values mean a fixed number of digits after
85 the dot, while a positive value rounds to this digit left from the
86 dot. 0 means round to integer. See Math::BigInt's bfround() method
87 for details.
88
89 perl -Mbigfloat=p,-50 -le 'print sqrt(20)'
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91 Note that setting precision and accuracy at the same time is not
92 possible.
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94 t or trace
95 This enables a trace mode and is primarily for debugging.
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97 l, lib, try, or only
98 Load a different math lib, see "Math Library".
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100 perl -Mbigfloat=l,GMP -e 'print 2 ** 512'
101 perl -Mbigfloat=lib,GMP -e 'print 2 ** 512'
102 perl -Mbigfloat=try,GMP -e 'print 2 ** 512'
103 perl -Mbigfloat=only,GMP -e 'print 2 ** 512'
104
105 hex Override the built-in hex() method with a version that can handle
106 big numbers. This overrides it by exporting it to the current
107 package. Under Perl v5.10.0 and higher, this is not so necessary,
108 as hex() is lexically overridden in the current scope whenever the
109 "bigfloat" pragma is active.
110
111 oct Override the built-in oct() method with a version that can handle
112 big numbers. This overrides it by exporting it to the current
113 package. Under Perl v5.10.0 and higher, this is not so necessary,
114 as oct() is lexically overridden in the current scope whenever the
115 "bigfloat" pragma is active.
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117 v or version
118 this prints out the name and version of the modules and then exits.
119
120 perl -Mbigfloat=v
121
122 Math Library
123 Math with the numbers is done (by default) by a backend library module
124 called Math::BigInt::Calc. The default is equivalent to saying:
125
126 use bigfloat lib => 'Calc';
127
128 you can change this by using:
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130 use bigfloat lib => 'GMP';
131
132 The following would first try to find Math::BigInt::Foo, then
133 Math::BigInt::Bar, and if this also fails, revert to
134 Math::BigInt::Calc:
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136 use bigfloat lib => 'Foo,Math::BigInt::Bar';
137
138 Using c<lib> warns if none of the specified libraries can be found and
139 Math::BigInt fell back to one of the default libraries. To suppress
140 this warning, use c<try> instead:
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142 use bigfloat try => 'GMP';
143
144 If you want the code to die instead of falling back, use "only"
145 instead:
146
147 use bigfloat only => 'GMP';
148
149 Please see respective module documentation for further details.
150
151 Method calls
152 Since all numbers are now objects, you can use all methods that are
153 part of the Math::BigFloat API.
154
155 But a warning is in order. When using the following to make a copy of a
156 number, only a shallow copy will be made.
157
158 $x = 9; $y = $x;
159 $x = $y = 7;
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161 Using the copy or the original with overloaded math is okay, e.g., the
162 following work:
163
164 $x = 9; $y = $x;
165 print $x + 1, " ", $y,"\n"; # prints 10 9
166
167 but calling any method that modifies the number directly will result in
168 both the original and the copy being destroyed:
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170 $x = 9; $y = $x;
171 print $x->badd(1), " ", $y,"\n"; # prints 10 10
172
173 $x = 9; $y = $x;
174 print $x->binc(1), " ", $y,"\n"; # prints 10 10
175
176 $x = 9; $y = $x;
177 print $x->bmul(2), " ", $y,"\n"; # prints 18 18
178
179 Using methods that do not modify, but test that the contents works:
180
181 $x = 9; $y = $x;
182 $z = 9 if $x->is_zero(); # works fine
183
184 See the documentation about the copy constructor and "=" in overload,
185 as well as the documentation in Math::BigFloat for further details.
186
187 Methods
188 inf()
189 A shortcut to return Math::BigFloat->binf(). Useful because Perl
190 does not always handle bareword "inf" properly.
191
192 NaN()
193 A shortcut to return Math::BigFloat->bnan(). Useful because Perl
194 does not always handle bareword "NaN" properly.
195
196 e
197 # perl -Mbigfloat=e -wle 'print e'
198
199 Returns Euler's number "e", aka exp(1)
200
201 PI
202 # perl -Mbigfloat=PI -wle 'print PI'
203
204 Returns PI.
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206 bexp()
207 bexp($power, $accuracy);
208
209 Returns Euler's number "e" raised to the appropriate power, to the
210 wanted accuracy.
211
212 Example:
213
214 # perl -Mbigfloat=bexp -wle 'print bexp(1,80)'
215
216 bpi()
217 bpi($accuracy);
218
219 Returns PI to the wanted accuracy.
220
221 Example:
222
223 # perl -Mbigfloat=bpi -wle 'print bpi(80)'
224
225 accuracy()
226 Set or get the accuracy.
227
228 precision()
229 Set or get the precision.
230
231 round_mode()
232 Set or get the rounding mode.
233
234 div_scale()
235 Set or get the division scale.
236
237 upgrade()
238 Set or get the class that the downgrade class upgrades to, if any.
239 Set the upgrade class to "undef" to disable upgrading.
240
241 Upgrading is disabled by default.
242
243 downgrade()
244 Set or get the class that the upgrade class downgrades to, if any.
245 Set the downgrade class to "undef" to disable upgrading.
246
247 Downgrading is disabled by default.
248
249 in_effect()
250 use bigfloat;
251
252 print "in effect\n" if bigfloat::in_effect; # true
253 {
254 no bigfloat;
255 print "in effect\n" if bigfloat::in_effect; # false
256 }
257
258 Returns true or false if "bigfloat" is in effect in the current
259 scope.
260
261 This method only works on Perl v5.9.4 or later.
262
264 Hexadecimal, octal, and binary floating point literals
265 Perl (and this module) accepts hexadecimal, octal, and binary
266 floating point literals, but use them with care with Perl versions
267 before v5.32.0, because some versions of Perl silently give the
268 wrong result.
269
270 Operator vs literal overloading
271 "bigrat" works by overloading handling of integer and floating
272 point literals, converting them to Math::BigRat objects.
273
274 This means that arithmetic involving only string values or string
275 literals are performed using Perl's built-in operators.
276
277 For example:
278
279 use bigrat;
280 my $x = "900000000000000009";
281 my $y = "900000000000000007";
282 print $x - $y;
283
284 outputs 0 on default 32-bit builds, since "bigfloat" never sees the
285 string literals. To ensure the expression is all treated as
286 "Math::BigFloat" objects, use a literal number in the expression:
287
288 print +(0+$x) - $y;
289
290 Ranges
291 Perl does not allow overloading of ranges, so you can neither
292 safely use ranges with "bigfloat" endpoints, nor is the iterator
293 variable a "Math::BigFloat".
294
295 use 5.010;
296 for my $i (12..13) {
297 for my $j (20..21) {
298 say $i ** $j; # produces a floating-point number,
299 # not an object
300 }
301 }
302
303 in_effect()
304 This method only works on Perl v5.9.4 or later.
305
306 hex()/oct()
307 "bigfloat" overrides these routines with versions that can also
308 handle big integer values. Under Perl prior to version v5.9.4,
309 however, this will not happen unless you specifically ask for it
310 with the two import tags "hex" and "oct" - and then it will be
311 global and cannot be disabled inside a scope with "no bigfloat":
312
313 use bigfloat qw/hex oct/;
314
315 print hex("0x1234567890123456");
316 {
317 no bigfloat;
318 print hex("0x1234567890123456");
319 }
320
321 The second call to hex() will warn about a non-portable constant.
322
323 Compare this to:
324
325 use bigfloat;
326
327 # will warn only under Perl older than v5.9.4
328 print hex("0x1234567890123456");
329
331 Some cool command line examples to impress the Python crowd ;)
332
333 perl -Mbigfloat -le 'print sqrt(33)'
334 perl -Mbigfloat -le 'print 2**255'
335 perl -Mbigfloat -le 'print 4.5+2**255'
336 perl -Mbigfloat -le 'print 3/7 + 5/7 + 8/3'
337 perl -Mbigfloat -le 'print 123->is_odd()'
338 perl -Mbigfloat -le 'print log(2)'
339 perl -Mbigfloat -le 'print exp(1)'
340 perl -Mbigfloat -le 'print 2 ** 0.5'
341 perl -Mbigfloat=a,65 -le 'print 2 ** 0.2'
342 perl -Mbigfloat=l,GMP -le 'print 7 ** 7777'
343
345 Please report any bugs or feature requests to "bug-bignum at
346 rt.cpan.org", or through the web interface at
347 <https://rt.cpan.org/Ticket/Create.html?Queue=bignum> (requires login).
348 We will be notified, and then you'll automatically be notified of
349 progress on your bug as I make changes.
350
352 You can find documentation for this module with the perldoc command.
353
354 perldoc bigfloat
355
356 You can also look for information at:
357
358 • GitHub
359
360 <https://github.com/pjacklam/p5-bignum>
361
362 • RT: CPAN's request tracker
363
364 <https://rt.cpan.org/Dist/Display.html?Name=bignum>
365
366 • MetaCPAN
367
368 <https://metacpan.org/release/bignum>
369
370 • CPAN Testers Matrix
371
372 <http://matrix.cpantesters.org/?dist=bignum>
373
374 • CPAN Ratings
375
376 <https://cpanratings.perl.org/dist/bignum>
377
379 This program is free software; you may redistribute it and/or modify it
380 under the same terms as Perl itself.
381
383 bigint and bigrat.
384
385 Math::BigInt, Math::BigFloat, Math::BigRat and Math::Big as well as
386 Math::BigInt::FastCalc, Math::BigInt::Pari and Math::BigInt::GMP.
387
389 • (C) by Tels <http://bloodgate.com/> in early 2002 - 2007.
390
391 • Maintained by Peter John Acklam <pjacklam@gmail.com>, 2014-.
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395perl v5.36.0 2022-07-22 bigfloat(3)