[p5sagit/p5-mst-13.2.git] / lib / bigrat.pm

package bigrat;
use 5.006002;

$VERSION = '0.09';
require Exporter;
@ISA		= qw( Exporter );
@EXPORT_OK	= qw( ); 
@EXPORT		= qw( inf NaN ); 

use strict;
use overload;

############################################################################## 

# These are all alike, and thus faked by AUTOLOAD

my @faked = qw/round_mode accuracy precision div_scale/;
use vars qw/$VERSION $AUTOLOAD $_lite/;		# _lite for testsuite

sub AUTOLOAD
  {
  my $name = $AUTOLOAD;

  $name =~ s/.*:://;    # split package
  no strict 'refs';
  foreach my $n (@faked)
    {
    if ($n eq $name)
      {
      *{"bigrat::$name"} = sub 
        {
        my $self = shift;
        no strict 'refs';
        if (defined $_[0])
          {
          Math::BigInt->$name($_[0]);
          Math::BigFloat->$name($_[0]);
          return Math::BigRat->$name($_[0]);
          }
        return Math::BigInt->$name();
        };
      return &$name;
      }
    }
 
  # delayed load of Carp and avoid recursion
  require Carp;
  Carp::croak ("Can't call bigrat\-\>$name, not a valid method");
  }

sub upgrade
  {
  my $self = shift;
  no strict 'refs';
#  if (defined $_[0])
#    {
#    $Math::BigInt::upgrade = $_[0];
#    $Math::BigFloat::upgrade = $_[0];
#    }
  $Math::BigInt::upgrade;
  }

sub _binary_constant
  {
  # this takes a binary/hexadecimal/octal constant string and returns it
  # as string suitable for new. Basically it converts octal to decimal, and
  # passes every thing else unmodified back.
  my $string = shift;

  return Math::BigInt->new($string) if $string =~ /^0[bx]/;

  # so it must be an octal constant
  Math::BigInt->from_oct($string);
  }

sub import 
  {
  my $self = shift;

  # see also bignum->import() for additional comments

  # some defaults
  my $lib = ''; my $upgrade = 'Math::BigFloat';

  my @import = ( ':constant' );				# drive it w/ constant
  my @a = @_; my $l = scalar @_; my $j = 0;
  my ($a,$p);
  my ($ver,$trace);					# version? trace?
  for ( my $i = 0; $i < $l ; $i++,$j++ )
    {
    if ($_[$i] eq 'upgrade')
      {
      # this causes upgrading
      $upgrade = $_[$i+1];		# or undef to disable
      my $s = 2; $s = 1 if @a-$j < 2;	# avoid "can not modify non-existant..."
      splice @a, $j, $s; $j -= $s;
      }
    elsif ($_[$i] =~ /^(l|lib)$/)
      {
      # this causes a different low lib to take care...
      $lib = $_[$i+1] || '';
      my $s = 2; $s = 1 if @a-$j < 2;	# avoid "can not modify non-existant..."
      splice @a, $j, $s; $j -= $s; $i++;
      }
    elsif ($_[$i] =~ /^(a|accuracy)$/)
      {
      $a = $_[$i+1];
      my $s = 2; $s = 1 if @a-$j < 2;   # avoid "can not modify non-existant..."
      splice @a, $j, $s; $j -= $s; $i++;
      }
    elsif ($_[$i] =~ /^(p|precision)$/)
      {
      $p = $_[$i+1];
      my $s = 2; $s = 1 if @a-$j < 2;   # avoid "can not modify non-existant..."
      splice @a, $j, $s; $j -= $s; $i++;
      }
    elsif ($_[$i] =~ /^(v|version)$/)
      {
      $ver = 1;
      splice @a, $j, 1; $j --;
      }
    elsif ($_[$i] =~ /^(t|trace)$/)
      {
      $trace = 1;
      splice @a, $j, 1; $j --;
      }
    else
      {
      die ("unknown option $_[$i]");
      }
    }
  my $class;
  $_lite = 0;                                   # using M::BI::L ?
  if ($trace)
    {
    require Math::BigInt::Trace; $class = 'Math::BigInt::Trace';
    $upgrade = 'Math::BigFloat::Trace';
    }
  else
    {
    # see if we can find Math::BigInt::Lite
    if (!defined $a && !defined $p)             # rounding won't work to well
      {
      eval 'require Math::BigInt::Lite;';
      if ($@ eq '')
        {
        @import = ( );                          # :constant in Lite, not MBI
        Math::BigInt::Lite->import( ':constant' );
        $_lite= 1;                              # signal okay
        }
      }
    require Math::BigInt if $_lite == 0;        # not already loaded?
    $class = 'Math::BigInt';                    # regardless of MBIL or not
    }
  push @import, 'lib' => $lib if $lib ne '';
  # Math::BigInt::Trace or plain Math::BigInt
  $class->import(@import, upgrade => $upgrade);

  require Math::BigFloat;
  Math::BigFloat->import( upgrade => 'Math::BigRat', ':constant' );
  require Math::BigRat;

  bigrat->accuracy($a) if defined $a;
  bigrat->precision($p) if defined $p;
  if ($ver)
    {
    print "bigrat\t\t\t v$VERSION\n";
    print "Math::BigInt::Lite\t v$Math::BigInt::Lite::VERSION\n" if $_lite;  
    print "Math::BigInt\t\t v$Math::BigInt::VERSION";
    my $config = Math::BigInt->config();
    print " lib => $config->{lib} v$config->{lib_version}\n";
    print "Math::BigFloat\t\t v$Math::BigFloat::VERSION\n";
    print "Math::BigRat\t\t v$Math::BigRat::VERSION\n";
    exit;
    }

  # Take care of octal/hexadecimal constants
  overload::constant binary => sub { _binary_constant(shift) };

  $self->export_to_level(1,$self,@a);           # export inf and NaN
  }

sub inf () { Math::BigInt->binf(); }
sub NaN () { Math::BigInt->bnan(); }

1;

__END__

=head1 NAME

bigrat - Transparent BigNumber/BigRational support for Perl

=head1 SYNOPSIS

  use bigrat;

  $x = 2 + 4.5,"\n";			# BigFloat 6.5
  print 1/3 + 1/4,"\n";			# produces 7/12

=head1 DESCRIPTION

All operators (including basic math operations) are overloaded. Integer and
floating-point constants are created as proper BigInts or BigFloats,
respectively.

Other than L<bignum>, this module upgrades to Math::BigRat, meaning that
instead of 2.5 you will get 2+1/2 as output.

=head2 Modules Used

C<bigrat> is just a thin wrapper around various modules of the Math::BigInt
family. Think of it as the head of the family, who runs the shop, and orders
the others to do the work.

The following modules are currently used by bignum:

        Math::BigInt::Lite      (for speed, and only if it is loadable)
        Math::BigInt
        Math::BigFloat
        Math::BigRat

=head2 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 => 'BitVect';

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';

Please see respective module documentation for further details.

=head2 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.

=head2 Methods

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

=over 2

=item inf()

A shortcut to return Math::BigInt->binf(). Useful because Perl does not always
handle bareword C<inf> properly.

=item NaN()

A shortcut to return Math::BigInt->bnan(). Useful because Perl does not always
handle bareword C<NaN> properly.

=item upgrade()

Return the class that numbers are upgraded to, is in fact returning
C<$Math::BigInt::upgrade>.

=back

=head2 MATH LIBRARY

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

=head2 Cavaet

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
B<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 C<=> in overload, as
well as the documentation in BigInt for further details.

=head2 Options

bignum 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:

=over 2

=item 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 accurary at the same time is not possible.

=item 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 accurary at the same time is not possible.

=item t or trace

This enables a trace mode and is primarily for debugging bignum or
Math::BigInt/Math::BigFloat.

=item l or lib

Load a different math lib, see L<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 -Mbignum=l,GMP,Pari -e 'print 2 ** 512'

This will be hopefully fixed soon ;)

=item v or version

This prints out the name and version of all modules used and then exits.

	perl -Mbigrat=v

=back

=head1 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 -Mbignum=l,GMP -le 'print 7 ** 7777'

=head1 LICENSE

This program is free software; you may redistribute it and/or modify it under
the same terms as Perl itself.

=head1 SEE ALSO

Especially L<bignum>.

L<Math::BigFloat>, L<Math::BigInt>, L<Math::BigRat> and L<Math::Big> as well
as L<Math::BigInt::BitVect>, L<Math::BigInt::Pari> and  L<Math::BigInt::GMP>.

=head1 AUTHORS

(C) by Tels L<http://bloodgate.com/> in early 2002 - 2007.

=cut
Commit	Line	Data
126f3c5f	1	package bigrat;
95a2d02c	2	use 5.006002;
126f3c5f	3
95a2d02c	4	$VERSION = '0.09';
b68b7ab1	5	require Exporter;
b4bc5691	6	@ISA = qw( Exporter );
	7	@EXPORT_OK = qw( );
	8	@EXPORT = qw( inf NaN );
126f3c5f	9
126f3c5f	10	use strict;
95a2d02c	11	use overload;
126f3c5f	12
	13	##############################################################################
	14
	15	# These are all alike, and thus faked by AUTOLOAD
	16
	17	my @faked = qw/round_mode accuracy precision div_scale/;
	18	use vars qw/$VERSION $AUTOLOAD $_lite/; # _lite for testsuite
	19
	20	sub AUTOLOAD
	21	{
	22	my $name = $AUTOLOAD;
	23
	24	$name =~ s/.*:://; # split package
	25	no strict 'refs';
	26	foreach my $n (@faked)
	27	{
	28	if ($n eq $name)
	29	{
	30	*{"bigrat::$name"} = sub
	31	{
	32	my $self = shift;
	33	no strict 'refs';
	34	if (defined $_[0])
	35	{
	36	Math::BigInt->$name($_[0]);
	37	Math::BigFloat->$name($_[0]);
990fb837	38	return Math::BigRat->$name($_[0]);
126f3c5f	39	}
	40	return Math::BigInt->$name();
	41	};
	42	return &$name;
	43	}
	44	}
	45
	46	# delayed load of Carp and avoid recursion
	47	require Carp;
	48	Carp::croak ("Can't call bigrat\-\>$name, not a valid method");
	49	}
	50
	51	sub upgrade
	52	{
	53	my $self = shift;
	54	no strict 'refs';
	55	# if (defined $_[0])
	56	# {
	57	# $Math::BigInt::upgrade = $_[0];
	58	# $Math::BigFloat::upgrade = $_[0];
	59	# }
95a2d02c	60	$Math::BigInt::upgrade;
	61	}
	62
	63	sub _binary_constant
	64	{
	65	# this takes a binary/hexadecimal/octal constant string and returns it
	66	# as string suitable for new. Basically it converts octal to decimal, and
	67	# passes every thing else unmodified back.
	68	my $string = shift;
	69
	70	return Math::BigInt->new($string) if $string =~ /^0[bx]/;
	71
	72	# so it must be an octal constant
	73	Math::BigInt->from_oct($string);
126f3c5f	74	}
	75
	76	sub import
	77	{
	78	my $self = shift;
	79
	80	# see also bignum->import() for additional comments
	81
	82	# some defaults
233f7bc0	83	my $lib = ''; my $upgrade = 'Math::BigFloat';
126f3c5f	84
	85	my @import = ( ':constant' ); # drive it w/ constant
	86	my @a = @_; my $l = scalar @_; my $j = 0;
	87	my ($a,$p);
	88	my ($ver,$trace); # version? trace?
	89	for ( my $i = 0; $i < $l ; $i++,$j++ )
	90	{
	91	if ($_[$i] eq 'upgrade')
	92	{
	93	# this causes upgrading
	94	$upgrade = $_[$i+1]; # or undef to disable
	95	my $s = 2; $s = 1 if @a-$j < 2; # avoid "can not modify non-existant..."
	96	splice @a, $j, $s; $j -= $s;
	97	}
	98	elsif ($_[$i] =~ /^(l\|lib)$/)
	99	{
	100	# this causes a different low lib to take care...
	101	$lib = $_[$i+1] \|\| '';
	102	my $s = 2; $s = 1 if @a-$j < 2; # avoid "can not modify non-existant..."
b68b7ab1	103	splice @a, $j, $s; $j -= $s; $i++;
	104	}
	105	elsif ($_[$i] =~ /^(a\|accuracy)$/)
	106	{
	107	$a = $_[$i+1];
	108	my $s = 2; $s = 1 if @a-$j < 2; # avoid "can not modify non-existant..."
	109	splice @a, $j, $s; $j -= $s; $i++;
	110	}
	111	elsif ($_[$i] =~ /^(p\|precision)$/)
	112	{
	113	$p = $_[$i+1];
	114	my $s = 2; $s = 1 if @a-$j < 2; # avoid "can not modify non-existant..."
	115	splice @a, $j, $s; $j -= $s; $i++;
126f3c5f	116	}
	117	elsif ($_[$i] =~ /^(v\|version)$/)
	118	{
	119	$ver = 1;
	120	splice @a, $j, 1; $j --;
	121	}
	122	elsif ($_[$i] =~ /^(t\|trace)$/)
	123	{
	124	$trace = 1;
	125	splice @a, $j, 1; $j --;
	126	}
	127	else
	128	{
	129	die ("unknown option $_[$i]");
	130	}
	131	}
	132	my $class;
	133	$_lite = 0; # using M::BI::L ?
	134	if ($trace)
	135	{
	136	require Math::BigInt::Trace; $class = 'Math::BigInt::Trace';
	137	$upgrade = 'Math::BigFloat::Trace';
126f3c5f	138	}
	139	else
	140	{
	141	# see if we can find Math::BigInt::Lite
	142	if (!defined $a && !defined $p) # rounding won't work to well
	143	{
	144	eval 'require Math::BigInt::Lite;';
	145	if ($@ eq '')
	146	{
	147	@import = ( ); # :constant in Lite, not MBI
	148	Math::BigInt::Lite->import( ':constant' );
	149	$_lite= 1; # signal okay
	150	}
	151	}
	152	require Math::BigInt if $_lite == 0; # not already loaded?
	153	$class = 'Math::BigInt'; # regardless of MBIL or not
	154	}
233f7bc0	155	push @import, 'lib' => $lib if $lib ne '';
126f3c5f	156	# Math::BigInt::Trace or plain Math::BigInt
233f7bc0	157	$class->import(@import, upgrade => $upgrade);
126f3c5f	158
	159	require Math::BigFloat;
	160	Math::BigFloat->import( upgrade => 'Math::BigRat', ':constant' );
	161	require Math::BigRat;
b68b7ab1	162
	163	bigrat->accuracy($a) if defined $a;
	164	bigrat->precision($p) if defined $p;
126f3c5f	165	if ($ver)
	166	{
	167	print "bigrat\t\t\t v$VERSION\n";
	168	print "Math::BigInt::Lite\t v$Math::BigInt::Lite::VERSION\n" if $_lite;
	169	print "Math::BigInt\t\t v$Math::BigInt::VERSION";
	170	my $config = Math::BigInt->config();
	171	print " lib => $config->{lib} v$config->{lib_version}\n";
	172	print "Math::BigFloat\t\t v$Math::BigFloat::VERSION\n";
	173	print "Math::BigRat\t\t v$Math::BigRat::VERSION\n";
	174	exit;
	175	}
95a2d02c	176
	177	# Take care of octal/hexadecimal constants
	178	overload::constant binary => sub { _binary_constant(shift) };
	179
b4bc5691	180	$self->export_to_level(1,$self,@a); # export inf and NaN
126f3c5f	181	}
126f3c5f	182
b4bc5691	183	sub inf () { Math::BigInt->binf(); }
	184	sub NaN () { Math::BigInt->bnan(); }
	185
126f3c5f	186	1;
	187
	188	__END__
	189
	190	=head1 NAME
	191
b1f79218	192	bigrat - Transparent BigNumber/BigRational support for Perl
126f3c5f	193
	194	=head1 SYNOPSIS
	195
	196	use bigrat;
	197
	198	$x = 2 + 4.5,"\n"; # BigFloat 6.5
	199	print 1/3 + 1/4,"\n"; # produces 7/12
	200
	201	=head1 DESCRIPTION
	202
3c4b39be	203	All operators (including basic math operations) are overloaded. Integer and
126f3c5f	204	floating-point constants are created as proper BigInts or BigFloats,
	205	respectively.
	206
	207	Other than L<bignum>, this module upgrades to Math::BigRat, meaning that
	208	instead of 2.5 you will get 2+1/2 as output.
	209
b68b7ab1	210	=head2 Modules Used
126f3c5f	211
	212	C<bigrat> is just a thin wrapper around various modules of the Math::BigInt
	213	family. Think of it as the head of the family, who runs the shop, and orders
	214	the others to do the work.
	215
	216	The following modules are currently used by bignum:
	217
	218	Math::BigInt::Lite (for speed, and only if it is loadable)
	219	Math::BigInt
	220	Math::BigFloat
	221	Math::BigRat
	222
b68b7ab1	223	=head2 Math Library
126f3c5f	224
	225	Math with the numbers is done (by default) by a module called
	226	Math::BigInt::Calc. This is equivalent to saying:
	227
	228	use bigrat lib => 'Calc';
	229
	230	You can change this by using:
	231
	232	use bigrat lib => 'BitVect';
	233
	234	The following would first try to find Math::BigInt::Foo, then
	235	Math::BigInt::Bar, and when this also fails, revert to Math::BigInt::Calc:
	236
	237	use bigrat lib => 'Foo,Math::BigInt::Bar';
	238
	239	Please see respective module documentation for further details.
	240
b68b7ab1	241	=head2 Sign
126f3c5f	242
b68b7ab1	243	The sign is either '+', '-', 'NaN', '+inf' or '-inf'.
126f3c5f	244
	245	A sign of 'NaN' is used to represent the result when input arguments are not
	246	numbers or as a result of 0/0. '+inf' and '-inf' represent plus respectively
	247	minus infinity. You will get '+inf' when dividing a positive number by 0, and
	248	'-inf' when dividing any negative number by 0.
	249
b68b7ab1	250	=head2 Methods
126f3c5f	251
	252	Since all numbers are not objects, you can use all functions that are part of
	253	the BigInt or BigFloat API. It is wise to use only the bxxx() notation, and not
	254	the fxxx() notation, though. This makes you independed on the fact that the
	255	underlying object might morph into a different class than BigFloat.
	256
95a2d02c	257	=over 2
	258
	259	=item inf()
	260
	261	A shortcut to return Math::BigInt->binf(). Useful because Perl does not always
	262	handle bareword C<inf> properly.
	263
	264	=item NaN()
	265
	266	A shortcut to return Math::BigInt->bnan(). Useful because Perl does not always
	267	handle bareword C<NaN> properly.
	268
	269	=item upgrade()
	270
	271	Return the class that numbers are upgraded to, is in fact returning
	272	C<$Math::BigInt::upgrade>.
	273
	274	=back
	275
	276	=head2 MATH LIBRARY
	277
	278	Math with the numbers is done (by default) by a module called
	279
	280	=head2 Cavaet
990fb837	281
	282	But a warning is in order. When using the following to make a copy of a number,
	283	only a shallow copy will be made.
	284
	285	$x = 9; $y = $x;
	286	$x = $y = 7;
	287
b68b7ab1	288	If you want to make a real copy, use the following:
	289
	290	$y = $x->copy();
	291
990fb837	292	Using the copy or the original with overloaded math is okay, e.g. the
	293	following work:
	294
	295	$x = 9; $y = $x;
	296	print $x + 1, " ", $y,"\n"; # prints 10 9
	297
	298	but calling any method that modifies the number directly will result in
3c4b39be	299	B<both> the original and the copy being destroyed:
990fb837	300
	301	$x = 9; $y = $x;
	302	print $x->badd(1), " ", $y,"\n"; # prints 10 10
	303
	304	$x = 9; $y = $x;
	305	print $x->binc(1), " ", $y,"\n"; # prints 10 10
	306
	307	$x = 9; $y = $x;
	308	print $x->bmul(2), " ", $y,"\n"; # prints 18 18
	309
	310	Using methods that do not modify, but testthe contents works:
	311
	312	$x = 9; $y = $x;
	313	$z = 9 if $x->is_zero(); # works fine
	314
	315	See the documentation about the copy constructor and C<=> in overload, as
	316	well as the documentation in BigInt for further details.
	317
b68b7ab1	318	=head2 Options
	319
	320	bignum recognizes some options that can be passed while loading it via use.
	321	The options can (currently) be either a single letter form, or the long form.
	322	The following options exist:
	323
	324	=over 2
	325
	326	=item a or accuracy
	327
	328	This sets the accuracy for all math operations. The argument must be greater
	329	than or equal to zero. See Math::BigInt's bround() function for details.
	330
	331	perl -Mbigrat=a,50 -le 'print sqrt(20)'
	332
95a2d02c	333	Note that setting precision and accurary at the same time is not possible.
95a2d02c	334
b68b7ab1	335	=item p or precision
	336
	337	This sets the precision for all math operations. The argument can be any
	338	integer. Negative values mean a fixed number of digits after the dot, while
	339	a positive value rounds to this digit left from the dot. 0 or 1 mean round to
	340	integer. See Math::BigInt's bfround() function for details.
	341
	342	perl -Mbigrat=p,-50 -le 'print sqrt(20)'
	343
95a2d02c	344	Note that setting precision and accurary at the same time is not possible.
95a2d02c	345
b68b7ab1	346	=item t or trace
	347
	348	This enables a trace mode and is primarily for debugging bignum or
	349	Math::BigInt/Math::BigFloat.
	350
	351	=item l or lib
	352
	353	Load a different math lib, see L<MATH LIBRARY>.
	354
	355	perl -Mbigrat=l,GMP -e 'print 2 ** 512'
	356
	357	Currently there is no way to specify more than one library on the command
95a2d02c	358	line. This means the following does not work:
	359
	360	perl -Mbignum=l,GMP,Pari -e 'print 2 ** 512'
	361
	362	This will be hopefully fixed soon ;)
b68b7ab1	363
	364	=item v or version
	365
	366	This prints out the name and version of all modules used and then exits.
	367
	368	perl -Mbigrat=v
	369
95a2d02c	370	=back
95a2d02c	371
126f3c5f	372	=head1 EXAMPLES
	373
	374	perl -Mbigrat -le 'print sqrt(33)'
	375	perl -Mbigrat -le 'print 2*255'
	376	perl -Mbigrat -le 'print 4.5+2*255'
	377	perl -Mbigrat -le 'print 3/7 + 5/7 + 8/3'
	378	perl -Mbigrat -le 'print 12->is_odd()';
95a2d02c	379	perl -Mbignum=l,GMP -le 'print 7 ** 7777'
126f3c5f	380
	381	=head1 LICENSE
	382
	383	This program is free software; you may redistribute it and/or modify it under
	384	the same terms as Perl itself.
	385
	386	=head1 SEE ALSO
	387
	388	Especially L<bignum>.
	389
	390	L<Math::BigFloat>, L<Math::BigInt>, L<Math::BigRat> and L<Math::Big> as well
	391	as L<Math::BigInt::BitVect>, L<Math::BigInt::Pari> and L<Math::BigInt::GMP>.
	392
	393	=head1 AUTHORS
	394
95a2d02c	395	(C) by Tels L<http://bloodgate.com/> in early 2002 - 2007.
126f3c5f	396
126f3c5f	397	=cut