bigrat(3pm) Perl Programmers Reference Guide bigrat(3pm)
NAME
bigrat - transparent big rational number support for Perl
SYNOPSIS
use bigrat;
print 2 + 4.5; # Math::BigRat 13/2
print 1/3 + 1/4; # Math::BigRat 7/12
print inf + 42; # Math::BigRat inf
print NaN * 7; # Math::BigRat NaN
print hex("0x1234567890123490"); # Perl v5.10.0 or later
{
no bigrat;
print 1/3; # 0.33333...
}
# for older Perls, import into current package:
use bigrat qw/hex oct/;
print hex("0x1234567890123490");
print oct("01234567890123490");
DESCRIPTION
All numeric literal in the given scope are converted to Math::BigRat
objects.
All operators (including basic math operations) except the range
operator ".." are overloaded.
So, the following:
use bigrat;
$x = 1234;
creates a Math::BigRat and stores a reference to in $x. This happens
transparently and behind your back, so to speak.
You can see this with the following:
perl -Mbigrat -le 'print ref(1234)'
Since numbers are actually objects, you can call all the usual methods
from Math::BigRat on them. This even works to some extent on
expressions:
perl -Mbigrat -le '$x = 1234; print $x->bdec()'
perl -Mbigrat -le 'print 1234->copy()->binc();'
perl -Mbigrat -le 'print 1234->copy()->binc->badd(6);'
perl -Mbigrat -le 'print +(1234)->copy()->binc()'
(Note that print doesn't do what you expect if the expression starts
with '(' hence the "+")
You can even chain the operations together as usual:
perl -Mbigrat -le 'print 1234->copy()->binc->badd(6);'
1241
Please note the following does not work as expected (prints nothing),
since overloading of '..' is not yet possible in Perl (as of v5.8.0):
perl -Mbigrat -le 'for (1..2) { print ref($_); }'
Options
"bigrat" recognizes some options that can be passed while loading it
via "use". The following options exist:
a or accuracy
This sets the accuracy for all math operations. The argument must
be greater than or equal to zero. See Math::BigInt's bround()
method for details.
perl -Mbigrat=a,50 -le 'print sqrt(20)'
Note that setting precision and accuracy at the same time is not
possible.
p or precision
This sets the precision for all math operations. The argument can
be any integer. Negative values mean a fixed number of digits after
the dot, while a positive value rounds to this digit left from the
dot. 0 means round to integer. See Math::BigInt's bfround() method
for details.
perl -Mbigrat=p,-50 -le 'print sqrt(20)'
Note that setting precision and accuracy at the same time is not
possible.
t or trace
This enables a trace mode and is primarily for debugging.
l, lib, try, or only
Load a different math lib, see "Math Library".
perl -Mbigrat=l,GMP -e 'print 2 ** 512'
perl -Mbigrat=lib,GMP -e 'print 2 ** 512'
perl -Mbigrat=try,GMP -e 'print 2 ** 512'
perl -Mbigrat=only,GMP -e 'print 2 ** 512'
hex Override the built-in hex() method with a version that can handle
big numbers. This overrides it by exporting it to the current
package. Under Perl v5.10.0 and higher, this is not so necessary,
as hex() is lexically overridden in the current scope whenever the
"bigrat" pragma is active.
oct Override the built-in oct() method with a version that can handle
big numbers. This overrides it by exporting it to the current
package. Under Perl v5.10.0 and higher, this is not so necessary,
as oct() is lexically overridden in the current scope whenever the
"bigrat" pragma is active.
v or version
this prints out the name and version of the modules and then exits.
perl -Mbigrat=v
Math Library
Math with the numbers is done (by default) by a backend library module
called Math::BigInt::Calc. The default is equivalent to saying:
use bigrat lib => 'Calc';
you can change this by using:
use bigrat lib => 'GMP';
The following would first try to find Math::BigInt::Foo, then
Math::BigInt::Bar, and if this also fails, revert to
Math::BigInt::Calc:
use bigrat lib => 'Foo,Math::BigInt::Bar';
Using c<lib> warns if none of the specified libraries can be found and
Math::BigInt fell back to one of the default libraries. To suppress
this warning, use c<try> instead:
use bigrat try => 'GMP';
If you want the code to die instead of falling back, use "only"
instead:
use bigrat only => 'GMP';
Please see the respective module documentation for further details.
Method calls
Since all numbers are now objects, you can use all methods that are
part of the Math::BigRat API.
But a warning is in order. When using the following to make a copy of a
number, only a shallow copy will be made.
$x = 9; $y = $x;
$x = $y = 7;
Using the copy or the original with overloaded math is okay, e.g., the
following work:
$x = 9; $y = $x;
print $x + 1, " ", $y,"\n"; # prints 10 9
but calling any method that modifies the number directly will result in
both the original and the copy being destroyed:
$x = 9; $y = $x;
print $x->badd(1), " ", $y,"\n"; # prints 10 10
$x = 9; $y = $x;
print $x->binc(1), " ", $y,"\n"; # prints 10 10
$x = 9; $y = $x;
print $x->bmul(2), " ", $y,"\n"; # prints 18 18
Using methods that do not modify, but test that the contents works:
$x = 9; $y = $x;
$z = 9 if $x->is_zero(); # works fine
See the documentation about the copy constructor and "=" in overload,
as well as the documentation in Math::BigFloat for further details.
Methods
inf()
A shortcut to return Math::BigRat->binf(). Useful because Perl does
not always handle bareword "inf" properly.
NaN()
A shortcut to return Math::BigRat->bnan(). Useful because Perl does
not always handle bareword "NaN" properly.
e
# perl -Mbigrat=e -wle 'print e'
Returns Euler's number "e", aka exp(1).
PI
# perl -Mbigrat=PI -wle 'print PI'
Returns PI.
bexp()
bexp($power, $accuracy);
Returns Euler's number "e" raised to the appropriate power, to the
wanted accuracy.
Example:
# perl -Mbigrat=bexp -wle 'print bexp(1,80)'
bpi()
bpi($accuracy);
Returns PI to the wanted accuracy.
Example:
# perl -Mbigrat=bpi -wle 'print bpi(80)'
accuracy()
Set or get the accuracy.
precision()
Set or get the precision.
round_mode()
Set or get the rounding mode.
div_scale()
Set or get the division scale.
in_effect()
use bigrat;
print "in effect\n" if bigrat::in_effect; # true
{
no bigrat;
print "in effect\n" if bigrat::in_effect; # false
}
Returns true or false if "bigrat" is in effect in the current
scope.
This method only works on Perl v5.9.4 or later.
CAVEATS
Hexadecimal, octal, and binary floating point literals
Perl (and this module) accepts hexadecimal, octal, and binary
floating point literals, but use them with care with Perl versions
before v5.32.0, because some versions of Perl silently give the
wrong result.
Operator vs literal overloading
"bigrat" works by overloading handling of integer and floating
point literals, converting them to Math::BigRat objects.
This means that arithmetic involving only string values or string
literals are performed using Perl's built-in operators.
For example:
use bigrat;
my $x = "900000000000000009";
my $y = "900000000000000007";
print $x - $y;
outputs 0 on default 32-bit builds, since "bigrat" never sees the
string literals. To ensure the expression is all treated as
"Math::BigRat" objects, use a literal number in the expression:
print +(0+$x) - $y;
Ranges
Perl does not allow overloading of ranges, so you can neither
safely use ranges with "bigrat" endpoints, nor is the iterator
variable a "Math::BigRat".
use 5.010;
for my $i (12..13) {
for my $j (20..21) {
say $i ** $j; # produces a floating-point number,
# not an object
}
}
in_effect()
This method only works on Perl v5.9.4 or later.
hex()/oct()
"bigrat" overrides these routines with versions that can also
handle big integer values. Under Perl prior to version v5.9.4,
however, this will not happen unless you specifically ask for it
with the two import tags "hex" and "oct" - and then it will be
global and cannot be disabled inside a scope with "no bigrat":
use bigrat qw/hex oct/;
print hex("0x1234567890123456");
{
no bigrat;
print hex("0x1234567890123456");
}
The second call to hex() will warn about a non-portable constant.
Compare this to:
use bigrat;
# will warn only under Perl older than v5.9.4
print hex("0x1234567890123456");
EXAMPLES
perl -Mbigrat -le 'print sqrt(33)'
perl -Mbigrat -le 'print 2**255'
perl -Mbigrat -le 'print 4.5+2**255'
perl -Mbigrat -le 'print 3/7 + 5/7 + 8/3'
perl -Mbigrat -le 'print 12->is_odd()';
perl -Mbigrat=l,GMP -le 'print 7 ** 7777'
BUGS
Please report any bugs or feature requests to "bug-bignum at
rt.cpan.org", or through the web interface at
<https://rt.cpan.org/Ticket/Create.html?Queue=bignum> (requires login).
We will be notified, and then you'll automatically be notified of
progress on your bug as I make changes.
SUPPORT
You can find documentation for this module with the perldoc command.
perldoc bigrat
You can also look for information at:
o GitHub
<https://github.com/pjacklam/p5-bignum>
o RT: CPAN's request tracker
<https://rt.cpan.org/Dist/Display.html?Name=bignum>
o MetaCPAN
<https://metacpan.org/release/bignum>
o CPAN Testers Matrix
<http://matrix.cpantesters.org/?dist=bignum>
o CPAN Ratings
<https://cpanratings.perl.org/dist/bignum>
LICENSE
This program is free software; you may redistribute it and/or modify it
under the same terms as Perl itself.
SEE ALSO
bignum(3) and bigint(3).
Math::BigInt(3), Math::BigFloat(3), Math::BigRat(3) and Math::Big(3) as
well as Math::BigInt::FastCalc(3), Math::BigInt::Pari(3) and
Math::BigInt::GMP(3).
AUTHORS
o (C) by Tels <http://bloodgate.com/> in early 2002 - 2007.
o Maintained by Peter John Acklam <pjacklam@gmail.com>, 2014-.
perl v5.38.2 2023-11-28 bigrat(3pm)
perl 5.38.2 - Generated Sun Dec 15 13:47:54 CST 2024