/ 
bignum-0.60
River stage three • 32 direct dependents • 485 total dependents
/ bigrat

NAME

bigrat - transparent big rational number support for Perl

SYNOPSIS

use bigrat;

print 2 + 4.5,"\n";             # Math::BigRat 13/2
print 1/3 + 1/4,"\n";           # produces 7/12

{
    no bigrat;
    print 1/3,"\n";             # 0.33333...
}

# for older Perls, import into current package:
use bigrat qw/hex oct/;
print hex("0x1234567890123490"),"\n";
print oct("01234567890123490"),"\n";

DESCRIPTION

All operators (including basic math operations) except the range operator .. are overloaded. All literal numeric constants are converted to Math::BigRat objects.

Math Library

Math with the numbers is done (by default) by a module called Math::BigInt::Calc. This 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 when this also fails, revert to Math::BigInt::Calc:

use bigrat lib => 'Foo,Math::BigInt::Bar';

Using lib warns if none of the specified libraries can be found and Math::BigInt did fall back to one of the default libraries. To suppress this warning, use 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 respective module documentation for further details.

Sign

The sign is either '+', '-', 'NaN', '+inf' or '-inf'.

A sign of 'NaN' is used to represent the result when input arguments are not numbers or as a result of 0/0. '+inf' and '-inf' represent plus respectively minus infinity. You will get '+inf' when dividing a positive number by 0, and '-inf' when dividing any negative number by 0.

Methods

Since all numbers are not objects, you can use all functions that are part of the Math::BigInt or Math::BigFloat API. It is wise to use only the bxxx() notation, and not the fxxx() notation, though. This makes you independent on the fact that the underlying object might morph into a different class than Math::BigFloat.

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)'
upgrade()

Return the class that numbers are upgraded to, if any.

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.

MATH LIBRARY

Math with the numbers is done (by default) by a module called

Caveat

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;

If you want to make a real copy, use the following:

$y = $x->copy();

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 testthe 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::BigInt for further details.

Options

bigrat recognizes some options that can be passed while loading it via use. The options can (currently) be either a single letter form, or the long form. 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() function 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 or 1 mean round to integer. See Math::BigInt's bfround() function 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 bigrat or Math::BigInt/Math::BigFloat.

l or lib

Load a different math lib, see "MATH LIBRARY".

perl -Mbigrat=l,GMP -e 'print 2 ** 512'

Currently there is no way to specify more than one library on the command line. This means the following does not work:

perl -Mbigrat=l,GMP,Pari -e 'print 2 ** 512'

This will be hopefully fixed soon ;)

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 all modules used and then exits.

perl -Mbigrat=v

CAVEATS

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 will be performed using Perl's built-in operators.

For example:

use bigrat;
my $x = "900000000000000009";
my $y = "900000000000000007";
print $x - $y;

will output 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;
in_effect()

This method only works on Perl v5.9.4 or later.

hex()/oct()

bigint 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 bigint":

use bigint qw/hex oct/;

print hex("0x1234567890123456");
{
    no bigint;
    print hex("0x1234567890123456");
}

The second call to hex() will warn about a non-portable constant.

Compare this to:

use bigint;

# 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

For information about bugs and how to report them, see the BUGS section in the documentation available with the perldoc command.

perldoc bignum

SUPPORT

You can find documentation for this module with the perldoc command.

perldoc bigrat

For more information, see the SUPPORT section in the documentation available with the perldoc command.

perldoc 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 and bigint.

Math::BigInt, Math::BigFloat, Math::BigRat and Math::Big as well as Math::BigInt::FastCalc, Math::BigInt::Pari and Math::BigInt::GMP.

AUTHORS