diff options
author | Chris Williams <chris@bingosnet.co.uk> | 2009-09-10 21:30:20 +0100 |
---|---|---|
committer | Chris Williams <chris@bingosnet.co.uk> | 2009-09-10 21:30:20 +0100 |
commit | a3bef8ed8dece3b48e9e11993f255fbe719a0647 (patch) | |
tree | a1c54009ef1eb097495c49c44bb8b4133a93c5aa /lib | |
parent | 5711376d83710d8f98ce1dc447317524afb70055 (diff) | |
download | perl-a3bef8ed8dece3b48e9e11993f255fbe719a0647.tar.gz |
Moved bignum from lib/ to ext/
Diffstat (limited to 'lib')
-rw-r--r-- | lib/.gitignore | 5 | ||||
-rw-r--r-- | lib/Math/BigFloat/Trace.pm | 58 | ||||
-rw-r--r-- | lib/Math/BigInt/Trace.pm | 47 | ||||
-rw-r--r-- | lib/bigint.pm | 675 | ||||
-rw-r--r-- | lib/bignum.pm | 681 | ||||
-rw-r--r-- | lib/bignum/t/big_e_pi.t | 23 | ||||
-rw-r--r-- | lib/bignum/t/bigexp.t | 26 | ||||
-rw-r--r-- | lib/bignum/t/bigint.t | 123 | ||||
-rw-r--r-- | lib/bignum/t/bignum.t | 94 | ||||
-rw-r--r-- | lib/bignum/t/bigrat.t | 98 | ||||
-rw-r--r-- | lib/bignum/t/bii_e_pi.t | 24 | ||||
-rw-r--r-- | lib/bignum/t/biinfnan.t | 22 | ||||
-rw-r--r-- | lib/bignum/t/bir_e_pi.t | 25 | ||||
-rw-r--r-- | lib/bignum/t/bn_lite.t | 30 | ||||
-rw-r--r-- | lib/bignum/t/bninfnan.t | 39 | ||||
-rw-r--r-- | lib/bignum/t/br_lite.t | 30 | ||||
-rw-r--r-- | lib/bignum/t/brinfnan.t | 22 | ||||
-rw-r--r-- | lib/bignum/t/in_effect.t | 42 | ||||
-rw-r--r-- | lib/bignum/t/infnan.inc | 35 | ||||
-rw-r--r-- | lib/bignum/t/option_a.t | 31 | ||||
-rw-r--r-- | lib/bignum/t/option_l.t | 54 | ||||
-rw-r--r-- | lib/bignum/t/option_p.t | 29 | ||||
-rw-r--r-- | lib/bignum/t/ratopt_a.t | 34 | ||||
-rw-r--r-- | lib/bignum/t/scope_f.t | 41 | ||||
-rw-r--r-- | lib/bignum/t/scope_i.t | 42 | ||||
-rw-r--r-- | lib/bignum/t/scope_r.t | 41 | ||||
-rw-r--r-- | lib/bigrat.pm | 566 |
27 files changed, 5 insertions, 2932 deletions
diff --git a/lib/.gitignore b/lib/.gitignore index 7c5244a13f..7add995da0 100644 --- a/lib/.gitignore +++ b/lib/.gitignore @@ -8,6 +8,9 @@ /autouse.pm /B.pm /B +/bigint.pm +/bignum.pm +/bigrat.pm /Compress /Config.pm /Config.pod @@ -207,6 +210,8 @@ /Log/Message/Simple.pm /MIME /Math/BigInt/FastCalc.pm +/Math/BigInt/Trace.pm +/Math/BigFloat/Trace.pm /Memoize.pm /Memoize /Memoize/AnyDBM_File.pm diff --git a/lib/Math/BigFloat/Trace.pm b/lib/Math/BigFloat/Trace.pm deleted file mode 100644 index 871b2a969e..0000000000 --- a/lib/Math/BigFloat/Trace.pm +++ /dev/null @@ -1,58 +0,0 @@ -#!/usr/bin/perl -w - -package Math::BigFloat::Trace; - -require 5.005_02; -use strict; - -use Exporter; -use Math::BigFloat; -use vars qw($VERSION @ISA $PACKAGE @EXPORT_OK - $accuracy $precision $round_mode $div_scale); - -@ISA = qw(Exporter Math::BigFloat); - -$VERSION = 0.01; - -use overload; # inherit overload from BigFloat - -# Globals -$accuracy = $precision = undef; -$round_mode = 'even'; -$div_scale = 40; - -sub new -{ - my $proto = shift; - my $class = ref($proto) || $proto; - - my $value = shift; - my $a = $accuracy; $a = $_[0] if defined $_[0]; - my $p = $precision; $p = $_[1] if defined $_[1]; - my $self = Math::BigFloat->new($value,$a,$p,$round_mode); - -# remember, downgrading may return a BigInt, so don't meddle with class -# bless $self,$class; - - print "MBF new '$value' => '$self' (",ref($self),")"; - return $self; -} - -sub import - { - print "MBF import ",join(' ',@_); - my $self = shift; - - # we catch the constants, the rest goes go BigFloat - my @a = (); - foreach (@_) - { - push @a, $_ if $_ ne ':constant'; - } - overload::constant float => sub { $self->new(shift); }; - - Math::BigFloat->import(@a); # need it for subclasses -# $self->export_to_level(1,$self,@_); # need this ? - } - -1; diff --git a/lib/Math/BigInt/Trace.pm b/lib/Math/BigInt/Trace.pm deleted file mode 100644 index 4733d22634..0000000000 --- a/lib/Math/BigInt/Trace.pm +++ /dev/null @@ -1,47 +0,0 @@ -#!/usr/bin/perl -w - -package Math::BigInt::Trace; - -require 5.005_02; -use strict; - -use Exporter; -use Math::BigInt; -use vars qw($VERSION @ISA $PACKAGE @EXPORT_OK - $accuracy $precision $round_mode $div_scale); - -@ISA = qw(Exporter Math::BigInt); - -$VERSION = 0.01; - -use overload; # inherit overload from BigInt - -# Globals -$accuracy = $precision = undef; -$round_mode = 'even'; -$div_scale = 40; - -sub new -{ - my $proto = shift; - my $class = ref($proto) || $proto; - - my $value = shift; - my $a = $accuracy; $a = $_[0] if defined $_[0]; - my $p = $precision; $p = $_[1] if defined $_[1]; - my $self = Math::BigInt->new($value,$a,$p,$round_mode); - bless $self,$class; - print "MBI new '$value' => '$self' (",ref($self),")"; - return $self; -} - -sub import - { - print "MBI import ",join(' ',@_); - my $self = shift; - Math::BigInt::import($self,@_); # need it for subclasses -# $self->export_to_level(1,$self,@_); # need this ? - @_ = (); - } - -1; diff --git a/lib/bigint.pm b/lib/bigint.pm deleted file mode 100644 index e143af61d0..0000000000 --- a/lib/bigint.pm +++ /dev/null @@ -1,675 +0,0 @@ -package bigint; -use 5.006; - -$VERSION = '0.23'; -use Exporter; -@ISA = qw( Exporter ); -@EXPORT_OK = qw( PI e bpi bexp ); -@EXPORT = qw( inf NaN ); - -use strict; -use overload; - -############################################################################## - -# These are all alike, and thus faked by AUTOLOAD - -my @faked = qw/round_mode accuracy precision div_scale/; -use vars qw/$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 $name) - { - *{"bigint::$name"} = sub - { - my $self = shift; - no strict 'refs'; - if (defined $_[0]) - { - return Math::BigInt->$name($_[0]); - } - return Math::BigInt->$name(); - }; - return &$name; - } - } - - # delayed load of Carp and avoid recursion - require Carp; - Carp::croak ("Can't call bigint\-\>$name, not a valid method"); - } - -sub upgrade - { - $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 _float_constant - { - # this takes a floating point constant string and returns it truncated to - # integer. For instance, '4.5' => '4', '1.234e2' => '123' etc - my $float = shift; - - # some simple cases first - return $float if ($float =~ /^[+-]?[0-9]+$/); # '+123','-1','0' etc - return $float - if ($float =~ /^[+-]?[0-9]+\.?[eE]\+?[0-9]+$/); # 123e2, 123.e+2 - return '0' if ($float =~ /^[+-]?[0]*\.[0-9]+$/); # .2, 0.2, -.1 - if ($float =~ /^[+-]?[0-9]+\.[0-9]*$/) # 1., 1.23, -1.2 etc - { - $float =~ s/\..*//; - return $float; - } - my ($mis,$miv,$mfv,$es,$ev) = Math::BigInt::_split($float); - return $float if !defined $mis; # doesn't look like a number to me - my $ec = int($$ev); - my $sign = $$mis; $sign = '' if $sign eq '+'; - if ($$es eq '-') - { - # ignore fraction part entirely - if ($ec >= length($$miv)) # 123.23E-4 - { - return '0'; - } - return $sign . substr ($$miv,0,length($$miv)-$ec); # 1234.45E-2 = 12 - } - # xE+y - if ($ec >= length($$mfv)) - { - $ec -= length($$mfv); - return $sign.$$miv.$$mfv if $ec == 0; # 123.45E+2 => 12345 - return $sign.$$miv.$$mfv.'E'.$ec; # 123.45e+3 => 12345e1 - } - $mfv = substr($$mfv,0,$ec); - $sign.$$miv.$mfv; # 123.45e+1 => 1234 - } - -sub unimport - { - $^H{bigint} = undef; # no longer in effect - overload::remove_constant('binary','','float','','integer'); - } - -sub in_effect - { - my $level = shift || 0; - my $hinthash = (caller($level))[10]; - $hinthash->{bigint}; - } - -############################################################################# -# the following two routines are for "use bigint qw/hex oct/;": - -sub _hex_global - { - my $i = $_[0]; - $i = '0x'.$i unless $i =~ /^0x/; - Math::BigInt->new($i); - } - -sub _oct_global - { - my $i = $_[0]; - return Math::BigInt->from_oct($i) if $i =~ /^0[0-7]/; - Math::BigInt->new($i); - } - -############################################################################# -# the following two routines are for Perl 5.9.4 or later and are lexical - -sub _hex - { - return CORE::hex($_[0]) unless in_effect(1); - my $i = $_[0]; - $i = '0x'.$i unless $i =~ /^0x/; - Math::BigInt->new($i); - } - -sub _oct - { - return CORE::oct($_[0]) unless in_effect(1); - my $i = $_[0]; - return Math::BigInt->from_oct($i) if $i =~ /^0[0-7]/; - Math::BigInt->new($i); - } - -sub import - { - my $self = shift; - - $^H{bigint} = 1; # we are in effect - - my ($hex,$oct); - # for newer Perls always override hex() and oct() with a lexical version: - if ($] > 5.009004) - { - $oct = \&_oct; - $hex = \&_hex; - } - # some defaults - my $lib = ''; my $lib_kind = 'try'; - - my @import = ( ':constant' ); # drive it w/ constant - my @a = @_; my $l = scalar @_; my $j = 0; - my ($ver,$trace); # version? trace? - my ($a,$p); # accuracy, precision - for ( my $i = 0; $i < $l ; $i++,$j++ ) - { - if ($_[$i] =~ /^(l|lib|try|only)$/) - { - # this causes a different low lib to take care... - $lib_kind = $1; $lib_kind = 'lib' if $lib_kind eq 'l'; - $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; $j --; - } - elsif ($_[$i] eq 'hex') - { - splice @a, $j, 1; $j --; - $hex = \&_hex_global; - } - elsif ($_[$i] eq 'oct') - { - splice @a, $j, 1; $j --; - $oct = \&_oct_global; - } - elsif ($_[$i] !~ /^(PI|e|bpi|bexp)\z/) - { - die ("unknown option $_[$i]"); - } - } - my $class; - $_lite = 0; # using M::BI::L ? - if ($trace) - { - require Math::BigInt::Trace; $class = 'Math::BigInt::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_kind => $lib if $lib ne ''; - # Math::BigInt::Trace or plain Math::BigInt - $class->import(@import); - - bigint->accuracy($a) if defined $a; - bigint->precision($p) if defined $p; - if ($ver) - { - print "bigint\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"; - exit; - } - # we take care of floating point constants, since BigFloat isn't available - # and BigInt doesn't like them: - overload::constant float => sub { Math::BigInt->new( _float_constant(shift) ); }; - # Take care of octal/hexadecimal constants - overload::constant binary => sub { _binary_constant(shift) }; - - # if another big* was already loaded: - my ($package) = caller(); - - no strict 'refs'; - if (!defined *{"${package}::inf"}) - { - $self->export_to_level(1,$self,@a); # export inf and NaN, e and PI - } - { - no warnings 'redefine'; - *CORE::GLOBAL::oct = $oct if $oct; - *CORE::GLOBAL::hex = $hex if $hex; - } - } - -sub inf () { Math::BigInt::binf(); } -sub NaN () { Math::BigInt::bnan(); } - -sub PI () { Math::BigInt->new(3); } -sub e () { Math::BigInt->new(2); } -sub bpi ($) { Math::BigInt->new(3); } -sub bexp ($$) { my $x = Math::BigInt->new($_[0]); $x->bexp($_[1]); } - -1; - -__END__ - -=head1 NAME - -bigint - Transparent BigInteger support for Perl - -=head1 SYNOPSIS - - use bigint; - - $x = 2 + 4.5,"\n"; # BigInt 6 - print 2 ** 512,"\n"; # really is what you think it is - print inf + 42,"\n"; # inf - print NaN * 7,"\n"; # NaN - print hex("0x1234567890123490"),"\n"; # Perl v5.9.4 or later - - { - no bigint; - print 2 ** 256,"\n"; # a normal Perl scalar now - } - - # Note that this will be global: - use bigint qw/hex oct/; - print hex("0x1234567890123490"),"\n"; - print oct("01234567890123490"),"\n"; - -=head1 DESCRIPTION - -All operators (including basic math operations) are overloaded. Integer -constants are created as proper BigInts. - -Floating point constants are truncated to integer. All parts and results of -expressions are also truncated. - -Unlike L<integer>, this pragma creates integer constants that are only -limited in their size by the available memory and CPU time. - -=head2 use integer vs. use bigint - -There is one small difference between C<use integer> and C<use bigint>: the -former will not affect assignments to variables and the return value of -some functions. C<bigint> truncates these results to integer too: - - # perl -Minteger -wle 'print 3.2' - 3.2 - # perl -Minteger -wle 'print 3.2 + 0' - 3 - # perl -Mbigint -wle 'print 3.2' - 3 - # perl -Mbigint -wle 'print 3.2 + 0' - 3 - - # perl -Mbigint -wle 'print exp(1) + 0' - 2 - # perl -Mbigint -wle 'print exp(1)' - 2 - # perl -Minteger -wle 'print exp(1)' - 2.71828182845905 - # perl -Minteger -wle 'print exp(1) + 0' - 2 - -In practice this makes seldom a difference as B<parts and results> of -expressions will be truncated anyway, but this can, for instance, affect the -return value of subroutines: - - sub three_integer { use integer; return 3.2; } - sub three_bigint { use bigint; return 3.2; } - - print three_integer(), " ", three_bigint(),"\n"; # prints "3.2 3" - -=head2 Options - -bigint 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 -Mbigint=a,2 -le 'print 12345+1' - -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, and -are <B>ignored</B> since all operations happen in integer space. -A positive value rounds to this digit left from the dot. 0 or 1 mean round to -integer and are ignore like negative values. - -See Math::BigInt's bfround() function for details. - - perl -Mbignum=p,5 -le 'print 123456789+123' - -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 bigint or -Math::BigInt. - -=item hex - -Override the built-in hex() method with a version that can handle big -integers. Note that under Perl v5.9.4 or ealier, this will be global -and cannot be disabled with "no bigint;". - -=item oct - -Override the built-in oct() method with a version that can handle big -integers. Note that under Perl v5.9.4 or ealier, this will be global -and cannot be disabled with "no bigint;". - -=item l, lib, try or only - -Load a different math lib, see L<Math Library>. - - perl -Mbigint=lib,GMP -e 'print 2 ** 512' - perl -Mbigint=try,GMP -e 'print 2 ** 512' - perl -Mbigint=only,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 -Mbigint=v - -=back - -=head2 Math Library - -Math with the numbers is done (by default) by a module called -Math::BigInt::Calc. This is equivalent to saying: - - use bigint lib => 'Calc'; - -You can change this by using: - - use bignum 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 bigint lib => 'Foo,Math::BigInt::Bar'; - -Using C<lib> warns if none of the specified libraries can be found and -L<Math::BigInt> did fall back to one of the default libraries. -To supress this warning, use C<try> instead: - - use bignum try => 'GMP'; - -If you want the code to die instead of falling back, use C<only> instead: - - use bignum only => 'GMP'; - -Please see respective module documentation for further details. - -=head2 Internal Format - -The numbers are stored as objects, and their internals might change at anytime, -especially between math operations. The objects also might belong to different -classes, like Math::BigInt, or Math::BigInt::Lite. Mixing them together, even -with normal scalars is not extraordinary, but normal and expected. - -You should not depend on the internal format, all accesses must go through -accessor methods. E.g. looking at $x->{sign} is not a good idea since there -is no guaranty that the object in question has such a hash key, nor is a hash -underneath at all. - -=head2 Sign - -The sign is either '+', '-', 'NaN', '+inf' or '-inf'. -You can access it with the sign() method. - -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 now objects, you can use all functions that are part of -the BigInt API. You can only use the bxxx() notation, and not the fxxx() -notation, though. - -=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 e - - # perl -Mbigint=e -wle 'print e' - -Returns Euler's number C<e>, aka exp(1). Note that under bigint, this is -truncated to an integer, and hence simple '2'. - -=item PI - - # perl -Mbigint=PI -wle 'print PI' - -Returns PI. Note that under bigint, this is truncated to an integer, and hence -simple '3'. - -=item bexp() - - bexp($power,$accuracy); - -Returns Euler's number C<e> raised to the appropriate power, to -the wanted accuracy. - -Note that under bigint, the result is truncated to an integer. - -Example: - - # perl -Mbigint=bexp -wle 'print bexp(1,80)' - -=item bpi() - - bpi($accuracy); - -Returns PI to the wanted accuracy. Note that under bigint, this is truncated -to an integer, and hence simple '3'. - -Example: - - # perl -Mbigint=bpi -wle 'print bpi(80)' - -=item upgrade() - -Return the class that numbers are upgraded to, is in fact returning -C<$Math::BigInt::upgrade>. - -=item in_effect() - - use bigint; - - print "in effect\n" if bigint::in_effect; # true - { - no bigint; - print "in effect\n" if bigint::in_effect; # false - } - -Returns true or false if C<bigint> is in effect in the current scope. - -This method only works on Perl v5.9.4 or later. - -=back - -=head2 MATH LIBRARY - -Math with the numbers is done (by default) by a module called - -=head2 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; - -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. - -=head1 CAVAETS - -=over 2 - -=item in_effect() - -This method only works on Perl v5.9.4 or later. - -=item hex()/oct() - -C<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"); - -=back - -=head1 MODULES USED - -C<bigint> 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 bigint: - - Math::BigInt::Lite (for speed, and only if it is loadable) - Math::BigInt - -=head1 EXAMPLES - -Some cool command line examples to impress the Python crowd ;) You might want -to compare them to the results under -Mbignum or -Mbigrat: - - perl -Mbigint -le 'print sqrt(33)' - perl -Mbigint -le 'print 2*255' - perl -Mbigint -le 'print 4.5+2*255' - perl -Mbigint -le 'print 3/7 + 5/7 + 8/3' - perl -Mbigint -le 'print 123->is_odd()' - perl -Mbigint -le 'print log(2)' - perl -Mbigint -le 'print 2 ** 0.5' - perl -Mbigint=a,65 -le 'print 2 ** 0.2' - perl -Mbignum=a,65,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<bigrat> as in C<perl -Mbigrat -le 'print 1/3+1/4'> and -L<bignum> as in C<perl -Mbignum -le 'print sqrt(2)'>. - -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 diff --git a/lib/bignum.pm b/lib/bignum.pm deleted file mode 100644 index 2e075c8b5a..0000000000 --- a/lib/bignum.pm +++ /dev/null @@ -1,681 +0,0 @@ -package bignum; -use 5.006; - -$VERSION = '0.23'; -use Exporter; -@ISA = qw( bigint ); -@EXPORT_OK = qw( PI e bexp bpi ); -@EXPORT = qw( inf NaN ); - -use strict; -use overload; -require bigint; # no "use" to avoid import being called - -############################################################################## - -BEGIN - { - *inf = \&bigint::inf; - *NaN = \&bigint::NaN; - } - -# 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) - { - *{"bignum::$name"} = sub - { - my $self = shift; - no strict 'refs'; - if (defined $_[0]) - { - Math::BigInt->$name($_[0]); - return Math::BigFloat->$name($_[0]); - } - return Math::BigInt->$name(); - }; - return &$name; - } - } - - # delayed load of Carp and avoid recursion - require Carp; - Carp::croak ("Can't call bignum\-\>$name, not a valid method"); - } - -sub unimport - { - $^H{bignum} = undef; # no longer in effect - overload::remove_constant('binary','','float','','integer'); - } - -sub in_effect - { - my $level = shift || 0; - my $hinthash = (caller($level))[10]; - $hinthash->{bignum}; - } - -############################################################################# -# the following two routines are for Perl 5.9.4 or later and are lexical - -sub _hex - { - return CORE::hex($_[0]) unless in_effect(1); - my $i = $_[0]; - $i = '0x'.$i unless $i =~ /^0x/; - Math::BigInt->new($i); - } - -sub _oct - { - return CORE::oct($_[0]) unless in_effect(1); - my $i = $_[0]; - return Math::BigInt->from_oct($i) if $i =~ /^0[0-7]/; - Math::BigInt->new($i); - } - -sub import - { - my $self = shift; - - $^H{bignum} = 1; # we are in effect - - my ($hex,$oct); - - # for newer Perls override hex() and oct() with a lexical version: - if ($] > 5.009003) - { - $hex = \&_hex; - $oct = \&_oct; - } - - # some defaults - my $lib = ''; my $lib_kind = 'try'; - my $upgrade = 'Math::BigFloat'; - my $downgrade = 'Math::BigInt'; - - my @import = ( ':constant' ); # drive it w/ constant - my @a = @_; my $l = scalar @_; my $j = 0; - my ($ver,$trace); # version? trace? - my ($a,$p); # accuracy, precision - 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; $i++; - } - elsif ($_[$i] eq 'downgrade') - { - # this causes downgrading - $downgrade = $_[$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; $i++; - } - elsif ($_[$i] =~ /^(l|lib|try|only)$/) - { - # this causes a different low lib to take care... - $lib_kind = $1; $lib_kind = 'lib' if $lib_kind eq 'l'; - $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 --; - } - elsif ($_[$i] eq 'hex') - { - splice @a, $j, 1; $j --; - $hex = \&bigint::_hex_global; - } - elsif ($_[$i] eq 'oct') - { - splice @a, $j, 1; $j --; - $oct = \&bigint::_oct_global; - } - elsif ($_[$i] !~ /^(PI|e|bexp|bpi)\z/) - { - 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_kind => $lib if $lib ne ''; - # Math::BigInt::Trace or plain Math::BigInt - $class->import(@import, upgrade => $upgrade); - - if ($trace) - { - require Math::BigFloat::Trace; $class = 'Math::BigFloat::Trace'; - $downgrade = 'Math::BigInt::Trace'; - } - else - { - require Math::BigFloat; $class = 'Math::BigFloat'; - } - $class->import(':constant','downgrade',$downgrade); - - bignum->accuracy($a) if defined $a; - bignum->precision($p) if defined $p; - if ($ver) - { - print "bignum\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"; - exit; - } - - # Take care of octal/hexadecimal constants - overload::constant binary => sub { bigint::_binary_constant(shift) }; - - # if another big* was already loaded: - my ($package) = caller(); - - no strict 'refs'; - if (!defined *{"${package}::inf"}) - { - $self->export_to_level(1,$self,@a); # export inf and NaN - } - { - no warnings 'redefine'; - *CORE::GLOBAL::oct = $oct if $oct; - *CORE::GLOBAL::hex = $hex if $hex; - } - } - -sub PI () { Math::BigFloat->new('3.141592653589793238462643383279502884197'); } -sub e () { Math::BigFloat->new('2.718281828459045235360287471352662497757'); } -sub bpi ($) { Math::BigFloat::bpi(@_); } -sub bexp ($$) { my $x = Math::BigFloat->new($_[0]); $x->bexp($_[1]); } - -1; - -__END__ - -=head1 NAME - -bignum - Transparent BigNumber support for Perl - -=head1 SYNOPSIS - - use bignum; - - $x = 2 + 4.5,"\n"; # BigFloat 6.5 - print 2 ** 512 * 0.1,"\n"; # really is what you think it is - print inf * inf,"\n"; # prints inf - print NaN * 3,"\n"; # prints NaN - - { - no bignum; - print 2 ** 256,"\n"; # a normal Perl scalar now - } - - # for older Perls, note that this will be global: - use bignum qw/hex oct/; - print hex("0x1234567890123490"),"\n"; - print oct("01234567890123490"),"\n"; - -=head1 DESCRIPTION - -All operators (including basic math operations) are overloaded. Integer and -floating-point constants are created as proper BigInts or BigFloats, -respectively. - -If you do - - use bignum; - -at the top of your script, Math::BigFloat and Math::BigInt will be loaded -and any constant number will be converted to an object (Math::BigFloat for -floats like 3.1415 and Math::BigInt for integers like 1234). - -So, the following line: - - $x = 1234; - -creates actually a Math::BigInt 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 -Mbignum -le 'print ref(1234)' - -Don't worry if it says Math::BigInt::Lite, bignum and friends will use Lite -if it is installed since it is faster for some operations. It will be -automatically upgraded to BigInt whenever necessary: - - perl -Mbignum -le 'print ref(2**255)' - -This also means it is a bad idea to check for some specific package, since -the actual contents of $x might be something unexpected. Due to the -transparent way of bignum C<ref()> should not be necessary, anyway. - -Since Math::BigInt and BigFloat also overload the normal math operations, -the following line will still work: - - perl -Mbignum -le 'print ref(1234+1234)' - -Since numbers are actually objects, you can call all the usual methods from -BigInt/BigFloat on them. This even works to some extent on expressions: - - perl -Mbignum -le '$x = 1234; print $x->bdec()' - perl -Mbignum -le 'print 1234->copy()->binc();' - perl -Mbignum -le 'print 1234->copy()->binc->badd(6);' - perl -Mbignum -le 'print +(1234)->copy()->binc()' - -(Note that print doesn't do what you expect if the expression starts with -'(' hence the C<+>) - -You can even chain the operations together as usual: - - perl -Mbignum -le 'print 1234->copy()->binc->badd(6);' - 1241 - -Under bignum (or bigint or bigrat), Perl will "upgrade" the numbers -appropriately. This means that: - - perl -Mbignum -le 'print 1234+4.5' - 1238.5 - -will work correctly. These mixed cases don't do always work when using -Math::BigInt or Math::BigFloat alone, or at least not in the way normal Perl -scalars work. - -If you do want to work with large integers like under C<use integer;>, try -C<use bigint;>: - - perl -Mbigint -le 'print 1234.5+4.5' - 1238 - -There is also C<use bigrat;> which gives you big rationals: - - perl -Mbigrat -le 'print 1234+4.1' - 12381/10 - -The entire upgrading/downgrading is still experimental and might not work -as you expect or may even have bugs. You might get errors like this: - - Can't use an undefined value as an ARRAY reference at - /usr/local/lib/perl5/5.8.0/Math/BigInt/Calc.pm line 864 - -This means somewhere a routine got a BigFloat/Lite but expected a BigInt (or -vice versa) and the upgrade/downgrad path was missing. This is a bug, please -report it so that we can fix it. - -You might consider using just Math::BigInt or Math::BigFloat, since they -allow you finer control over what get's done in which module/space. For -instance, simple loop counters will be Math::BigInts under C<use bignum;> and -this is slower than keeping them as Perl scalars: - - perl -Mbignum -le 'for ($i = 0; $i < 10; $i++) { print ref($i); }' - -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 -Mbignum -le 'for (1..2) { print ref($_); }' - -=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 -Mbignum=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 -Mbignum=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 -Mbignum=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 hex - -Override the built-in hex() method with a version that can handle big -integers. Note that under Perl older than v5.9.4, this will be global -and cannot be disabled with "no bigint;". - -=item oct - -Override the built-in oct() method with a version that can handle big -integers. Note that under Perl older than v5.9.4, this will be global -and cannot be disabled with "no bigint;". - -=item v or version - -This prints out the name and version of all modules used and then exits. - - perl -Mbignum=v - -=back - -=head2 Methods - -Beside import() and AUTOLOAD() there are only a few other methods. - -Since all numbers are now 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 it possible that the underlying object -might morph into a different class than BigFloat. - -=head2 Caveats - -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 test the contents works: - - $x = 9; $y = $x; - $z = 9 if $x->is_zero(); # works fine - -See the documentation about the copy constructor and C<=> in overload, as -well as the documentation in BigInt for further details. - -=over 2 - -=item inf() - -A shortcut to return Math::BigInt->binf(). Useful because Perl does not always -handle bareword C<inf> properly. - -=item NaN() - -A shortcut to return Math::BigInt->bnan(). Useful because Perl does not always -handle bareword C<NaN> properly. - -=item e - - # perl -Mbignum=e -wle 'print e' - -Returns Euler's number C<e>, aka exp(1). - -=item PI() - - # perl -Mbignum=PI -wle 'print PI' - -Returns PI. - -=item bexp() - - bexp($power,$accuracy); - -Returns Euler's number C<e> raised to the appropriate power, to -the wanted accuracy. - -Example: - - # perl -Mbignum=bexp -wle 'print bexp(1,80)' - -=item bpi() - - bpi($accuracy); - -Returns PI to the wanted accuracy. - -Example: - - # perl -Mbignum=bpi -wle 'print bpi(80)' - -=item upgrade() - -Return the class that numbers are upgraded to, is in fact returning -C<$Math::BigInt::upgrade>. - -=item in_effect() - - use bignum; - - print "in effect\n" if bignum::in_effect; # true - { - no bignum; - print "in effect\n" if bignum::in_effect; # false - } - -Returns true or false if C<bignum> is in effect in the current scope. - -This method only works on Perl v5.9.4 or later. - -=back - -=head2 Math Library - -Math with the numbers is done (by default) by a module called -Math::BigInt::Calc. This is equivalent to saying: - - use bignum lib => 'Calc'; - -You can change this by using: - - use bignum 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 bignum lib => 'Foo,Math::BigInt::Bar'; - -Please see respective module documentation for further details. - -Using C<lib> warns if none of the specified libraries can be found and -L<Math::BigInt> did fall back to one of the default libraries. -To supress this warning, use C<try> instead: - - use bignum try => 'GMP'; - -If you want the code to die instead of falling back, use C<only> instead: - - use bignum only => 'GMP'; - -=head2 INTERNAL FORMAT - -The numbers are stored as objects, and their internals might change at anytime, -especially between math operations. The objects also might belong to different -classes, like Math::BigInt, or Math::BigFLoat. Mixing them together, even -with normal scalars is not extraordinary, but normal and expected. - -You should not depend on the internal format, all accesses must go through -accessor methods. E.g. looking at $x->{sign} is not a bright idea since there -is no guaranty that the object in question has such a hashkey, nor is a hash -underneath at all. - -=head2 SIGN - -The sign is either '+', '-', 'NaN', '+inf' or '-inf' and stored seperately. -You can access it with the sign() method. - -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. - -=head1 CAVAETS - -=over 2 - -=item in_effect() - -This method only works on Perl v5.9.4 or later. - -=item hex()/oct() - -C<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 older than v5.9.4 - print hex("0x1234567890123456"); - -=back - -=head1 MODULES USED - -C<bignum> 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 - -=head1 EXAMPLES - -Some cool command line examples to impress the Python crowd ;) - - perl -Mbignum -le 'print sqrt(33)' - perl -Mbignum -le 'print 2*255' - perl -Mbignum -le 'print 4.5+2*255' - perl -Mbignum -le 'print 3/7 + 5/7 + 8/3' - perl -Mbignum -le 'print 123->is_odd()' - perl -Mbignum -le 'print log(2)' - perl -Mbignum -le 'print exp(1)' - perl -Mbignum -le 'print 2 ** 0.5' - perl -Mbignum=a,65 -le 'print 2 ** 0.2' - perl -Mbignum=a,65,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<bigrat> as in C<perl -Mbigrat -le 'print 1/3+1/4'>. - -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 diff --git a/lib/bignum/t/big_e_pi.t b/lib/bignum/t/big_e_pi.t deleted file mode 100644 index 819e22528a..0000000000 --- a/lib/bignum/t/big_e_pi.t +++ /dev/null @@ -1,23 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### -# test for e() and PI() exports - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 4; - } - -use bignum qw/e PI bexp bpi/; - -is (e, "2.718281828459045235360287471352662497757", 'e'); -is (PI, "3.141592653589793238462643383279502884197", 'PI'); - -is (bexp(1,10), "2.718281828", 'e'); -is (bpi(10), "3.141592654", 'PI'); diff --git a/lib/bignum/t/bigexp.t b/lib/bignum/t/bigexp.t deleted file mode 100644 index 2fc631fff1..0000000000 --- a/lib/bignum/t/bigexp.t +++ /dev/null @@ -1,26 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### -# test for bug #18025: bignum/bigrat can lead to a number that is both 1 and 0 - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 4; - } - -use bignum; - -my $lnev = -7 / (10**17); -my $ev=exp($lnev); - -is( sprintf('%0.5f',$ev) , '1.00000', '($ev) is approx. 1' ); -is( sprintf('%0.5f',1-$ev) , '0.00000', '(1-$ev) is approx. 0' ); -is( sprintf('%0.5f',1-"$ev") , '0.00000', '(1-"$ev") is approx. 0' ); - -cmp_ok( $ev, '!=', 0, '$ev should not equal 0'); diff --git a/lib/bignum/t/bigint.t b/lib/bignum/t/bigint.t deleted file mode 100644 index baf76a3005..0000000000 --- a/lib/bignum/t/bigint.t +++ /dev/null @@ -1,123 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### - -use Test; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 51; - } - -use bigint qw/hex oct/; - -############################################################################### -# _constant tests - -foreach (qw/ - 123:123 - 123.4:123 - 1.4:1 - 0.1:0 - -0.1:0 - -1.1:-1 - -123.4:-123 - -123:-123 - 123e2:123e2 - 123e-1:12 - 123e-4:0 - 123e-3:0 - 123.345e-1:12 - 123.456e+2:12345 - 1234.567e+3:1234567 - 1234.567e+4:1234567E1 - 1234.567e+6:1234567E3 - /) - { - my ($x,$y) = split /:/; - print "# Try $x\n"; - ok (bigint::_float_constant("$x"),"$y"); - } - -foreach (qw/ - 0100:64 - 0200:128 - 0x100:256 - 0b1001:9 - /) - { - my ($x,$y) = split /:/; - print "# Try $x\n"; - ok (bigint::_binary_constant("$x"),"$y"); - } - -############################################################################### -# general tests - -my $x = 5; ok (ref($x) =~ /^Math::BigInt/); # :constant - -# todo: ok (2 + 2.5,4.5); # should still work -# todo: $x = 2 + 3.5; ok (ref($x),'Math::BigFloat'); - -$x = 2 ** 255; ok (ref($x) =~ /^Math::BigInt/); - -ok (12->bfac(),479001600); -ok (9/4,2); - -ok (4.5+4.5,8); # truncate -ok (ref(4.5+4.5) =~ /^Math::BigInt/); - - -############################################################################### -# accurarcy and precision - -ok_undef (bigint->accuracy()); -ok (bigint->accuracy(12),12); -ok (bigint->accuracy(),12); - -ok_undef (bigint->precision()); -ok (bigint->precision(12),12); -ok (bigint->precision(),12); - -ok (bigint->round_mode(),'even'); -ok (bigint->round_mode('odd'),'odd'); -ok (bigint->round_mode(),'odd'); - -############################################################################### -# hex() and oct() - -my $c = 'Math::BigInt'; - -ok (ref(hex(1)), $c); -ok (ref(hex(0x1)), $c); -ok (ref(hex("af")), $c); -ok (hex("af"), Math::BigInt->new(0xaf)); -ok (ref(hex("0x1")), $c); - -ok (ref(oct("0x1")), $c); -ok (ref(oct("01")), $c); -ok (ref(oct("0b01")), $c); -ok (ref(oct("1")), $c); -ok (ref(oct(" 1")), $c); -ok (ref(oct(" 0x1")), $c); - -ok (ref(oct(0x1)), $c); -ok (ref(oct(01)), $c); -ok (ref(oct(0b01)), $c); -ok (ref(oct(1)), $c); - -############################################################################### -############################################################################### -# Perl 5.005 does not like ok ($x,undef) - -sub ok_undef - { - my $x = shift; - - ok (1,1) and return if !defined $x; - ok ($x,'undef'); - } diff --git a/lib/bignum/t/bignum.t b/lib/bignum/t/bignum.t deleted file mode 100644 index fe299a2e24..0000000000 --- a/lib/bignum/t/bignum.t +++ /dev/null @@ -1,94 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### - -use Test; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 35; - } - -use bignum qw/oct hex/; - -############################################################################### -# general tests - -my $x = 5; ok (ref($x) =~ /^Math::BigInt/); # :constant - -ok (2 + 2.5,4.5); -$x = 2 + 3.5; ok (ref($x),'Math::BigFloat'); -ok (2 * 2.1,4.2); -$x = 2 + 2.1; ok (ref($x),'Math::BigFloat'); - -$x = 2 ** 255; ok (ref($x) =~ /^Math::BigInt/); - -# see if Math::BigInt constant and upgrading works -ok (Math::BigInt::bsqrt('12'),'3.464101615137754587054892683011744733886'); -ok (sqrt(12),'3.464101615137754587054892683011744733886'); - -ok (2/3,"0.6666666666666666666666666666666666666667"); - -#ok (2 ** 0.5, 'NaN'); # should be sqrt(2); - -ok (12->bfac(),479001600); - -# see if Math::BigFloat constant works - -# 0123456789 0123456789 <- default 40 -# 0123456789 0123456789 -ok (1/3, '0.3333333333333333333333333333333333333333'); - -############################################################################### -# accurarcy and precision - -ok_undef (bignum->accuracy()); -ok (bignum->accuracy(12),12); -ok (bignum->accuracy(),12); - -ok_undef (bignum->precision()); -ok (bignum->precision(12),12); -ok (bignum->precision(),12); - -ok (bignum->round_mode(),'even'); -ok (bignum->round_mode('odd'),'odd'); -ok (bignum->round_mode(),'odd'); - -############################################################################### -# hex() and oct() - -my $c = 'Math::BigInt'; - -ok (ref(hex(1)), $c); -ok (ref(hex(0x1)), $c); -ok (ref(hex("af")), $c); -ok (hex("af"), Math::BigInt->new(0xaf)); -ok (ref(hex("0x1")), $c); - -ok (ref(oct("0x1")), $c); -ok (ref(oct("01")), $c); -ok (ref(oct("0b01")), $c); -ok (ref(oct("1")), $c); -ok (ref(oct(" 1")), $c); -ok (ref(oct(" 0x1")), $c); - -ok (ref(oct(0x1)), $c); -ok (ref(oct(01)), $c); -ok (ref(oct(0b01)), $c); -ok (ref(oct(1)), $c); - -############################################################################### -############################################################################### -# Perl 5.005 does not like ok ($x,undef) - -sub ok_undef - { - my $x = shift; - - ok (1,1) and return if !defined $x; - ok ($x,'undef'); - } diff --git a/lib/bignum/t/bigrat.t b/lib/bignum/t/bigrat.t deleted file mode 100644 index 972b83cde2..0000000000 --- a/lib/bignum/t/bigrat.t +++ /dev/null @@ -1,98 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### - -use Test; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 40; - } - -use bigrat qw/oct hex/; - -############################################################################### -# general tests - -my $x = 5; ok (ref($x) =~ /^Math::BigInt/); # :constant - -# todo: ok (2 + 2.5,4.5); # should still work -# todo: $x = 2 + 3.5; ok (ref($x),'Math::BigFloat'); - -$x = 2 ** 255; ok (ref($x) =~ /^Math::BigInt/); - -# see if Math::BigRat constant works -ok (1/3, '1/3'); -ok (1/4+1/3,'7/12'); -ok (5/7+3/7,'8/7'); - -ok (3/7+1,'10/7'); -ok (3/7+1.1,'107/70'); -ok (3/7+3/7,'6/7'); - -ok (3/7-1,'-4/7'); -ok (3/7-1.1,'-47/70'); -ok (3/7-2/7,'1/7'); - -# fails ? -# ok (1+3/7,'10/7'); - -ok (1.1+3/7,'107/70'); -ok (3/7*5/7,'15/49'); -ok (3/7 / (5/7),'3/5'); -ok (3/7 / 1,'3/7'); -ok (3/7 / 1.5,'2/7'); - -############################################################################### -# accurarcy and precision - -ok_undef (bigrat->accuracy()); -ok (bigrat->accuracy(12),12); -ok (bigrat->accuracy(),12); - -ok_undef (bigrat->precision()); -ok (bigrat->precision(12),12); -ok (bigrat->precision(),12); - -ok (bigrat->round_mode(),'even'); -ok (bigrat->round_mode('odd'),'odd'); -ok (bigrat->round_mode(),'odd'); - -############################################################################### -# hex() and oct() - -my $c = 'Math::BigInt'; - -ok (ref(hex(1)), $c); -ok (ref(hex(0x1)), $c); -ok (ref(hex("af")), $c); -ok (hex("af"), Math::BigInt->new(0xaf)); -ok (ref(hex("0x1")), $c); - -ok (ref(oct("0x1")), $c); -ok (ref(oct("01")), $c); -ok (ref(oct("0b01")), $c); -ok (ref(oct("1")), $c); -ok (ref(oct(" 1")), $c); -ok (ref(oct(" 0x1")), $c); - -ok (ref(oct(0x1)), $c); -ok (ref(oct(01)), $c); -ok (ref(oct(0b01)), $c); -ok (ref(oct(1)), $c); - -############################################################################### -############################################################################### -# Perl 5.005 does not like ok ($x,undef) - -sub ok_undef - { - my $x = shift; - - ok (1,1) and return if !defined $x; - ok ($x,'undef'); - } diff --git a/lib/bignum/t/bii_e_pi.t b/lib/bignum/t/bii_e_pi.t deleted file mode 100644 index 76ee07ae29..0000000000 --- a/lib/bignum/t/bii_e_pi.t +++ /dev/null @@ -1,24 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### -# test for e() and PI() exports - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 5; - } - -use bigint qw/e PI bpi bexp/; - -is (e, "2", 'e'); -is (PI, "3", 'PI'); - -is (bexp(1,10), "2", 'e'); -is (bexp(3,10), "20", 'e'); -is (bpi(10), "3", 'PI'); diff --git a/lib/bignum/t/biinfnan.t b/lib/bignum/t/biinfnan.t deleted file mode 100644 index f136c1e66e..0000000000 --- a/lib/bignum/t/biinfnan.t +++ /dev/null @@ -1,22 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### - -use Test; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - unshift @INC, '../lib/bignum/t' if $ENV{PERL_CORE}; - plan tests => 26; - } - -use bigint; - -my ($x); - -require "infnan.inc"; - diff --git a/lib/bignum/t/bir_e_pi.t b/lib/bignum/t/bir_e_pi.t deleted file mode 100644 index 88342b05bd..0000000000 --- a/lib/bignum/t/bir_e_pi.t +++ /dev/null @@ -1,25 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### -# test for e() and PI() exports - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 4; - } - -use bigrat qw/e PI bexp bpi/; - -is (e, "2.718281828459045235360287471352662497757", 'e'); -is (PI, "3.141592653589793238462643383279502884197", 'PI'); - -# these tests should actually produce big rationals, but this is not yet -# implemented: -is (bexp(1,10), "2.718281828", 'e'); -is (bpi(10), "3.141592654", 'PI'); diff --git a/lib/bignum/t/bn_lite.t b/lib/bignum/t/bn_lite.t deleted file mode 100644 index 21247c1ee7..0000000000 --- a/lib/bignum/t/bn_lite.t +++ /dev/null @@ -1,30 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### - -use Test; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 1; - } - -eval 'require Math::BigInt::Lite;'; -if ($@ eq '') - { - # can use Lite, so let bignum try it - require bignum; bignum->import(); - # can't get to work a ref(1+1) here, presumable because :constant phase - # already done - ok ($bignum::_lite,1); - } -else - { - print "ok 1 # skipped, no Math::BigInt::Lite\n"; - } - - diff --git a/lib/bignum/t/bninfnan.t b/lib/bignum/t/bninfnan.t deleted file mode 100644 index 2d6d7ec072..0000000000 --- a/lib/bignum/t/bninfnan.t +++ /dev/null @@ -1,39 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### - -use Test; -use strict; - -BEGIN - { - $| = 1; - my $location = $0; $location =~ s/bninfnan.t//i; - if ($ENV{PERL_CORE}) - { - @INC = qw(../lib ../lib/bignum/t); # testing with the core distribution - } - else - { - unshift @INC, '../lib'; # for testing manually - } - if (-d 't') - { - chdir 't'; - require File::Spec; - unshift @INC, File::Spec->catdir(File::Spec->updir, $location); - } - else - { - unshift @INC, $location; - } - print "# INC = @INC\n"; - plan tests => 26; - } - -use bignum; - -my ($x); - -require "infnan.inc"; - diff --git a/lib/bignum/t/br_lite.t b/lib/bignum/t/br_lite.t deleted file mode 100644 index 2bf77d4037..0000000000 --- a/lib/bignum/t/br_lite.t +++ /dev/null @@ -1,30 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### - -use Test; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 1; - } - -eval 'require Math::BigInt::Lite;'; -if ($@ eq '') - { - # can use Lite, so let bignum try it - require bigrat; bigrat->import(); - # can't get to work a ref(1+1) here, presumable because :constant phase - # already done - ok ($bigrat::_lite,1); - } -else - { - print "ok 1 # skipped, no Math::BigInt::Lite\n"; - } - - diff --git a/lib/bignum/t/brinfnan.t b/lib/bignum/t/brinfnan.t deleted file mode 100644 index 286adbc0ca..0000000000 --- a/lib/bignum/t/brinfnan.t +++ /dev/null @@ -1,22 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### - -use Test; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - unshift @INC, '../lib/bignum/t' if $ENV{PERL_CORE}; - plan tests => 26; - } - -use bigrat; - -my ($x); - -require "infnan.inc"; - diff --git a/lib/bignum/t/in_effect.t b/lib/bignum/t/in_effect.t deleted file mode 100644 index b163f12b8f..0000000000 --- a/lib/bignum/t/in_effect.t +++ /dev/null @@ -1,42 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### -# Test in_effect() - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 9; - } - -use bigint; -use bignum; -use bigrat; - -can_ok ('bigint', qw/in_effect/); -can_ok ('bignum', qw/in_effect/); -can_ok ('bigrat', qw/in_effect/); - -SKIP: { - skip ('Need at least Perl v5.9.4', 3) if $] < "5.009005"; - - is (bigint::in_effect(), 1, 'bigint in effect'); - is (bignum::in_effect(), 1, 'bignum in effect'); - is (bigrat::in_effect(), 1, 'bigrat in effect'); - } - -{ - no bigint; - no bignum; - no bigrat; - - is (bigint::in_effect(), undef, 'bigint not in effect'); - is (bignum::in_effect(), undef, 'bignum not in effect'); - is (bigrat::in_effect(), undef, 'bigrat not in effect'); -} - diff --git a/lib/bignum/t/infnan.inc b/lib/bignum/t/infnan.inc deleted file mode 100644 index 771b94e748..0000000000 --- a/lib/bignum/t/infnan.inc +++ /dev/null @@ -1,35 +0,0 @@ - -use strict; - -my ($x); - -############################################################################### -# inf tests - -$x = 1+inf; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'inf'); -$x = 1*inf; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'inf'); - -# these don't work without exporting inf() -$x = inf; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'inf'); -$x = inf+inf; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'inf'); -$x = inf*inf; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'inf'); - -############################################################################### -# NaN tests - -$x = 1+NaN; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'NaN'); -$x = 1*NaN; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'NaN'); - -# these don't work without exporting NaN() -$x = NaN; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'NaN'); -$x = NaN+NaN; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'NaN'); -$x = NaN*NaN; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'NaN'); - -############################################################################### -# mixed tests - -# these don't work without exporting NaN() or inf() -$x = NaN+inf; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'NaN'); -$x = NaN*inf; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'NaN'); -$x = inf*NaN; ok (ref($x) =~ /^Math::BigInt/); ok ($x->bstr(),'NaN'); - diff --git a/lib/bignum/t/option_a.t b/lib/bignum/t/option_a.t deleted file mode 100644 index 2086f9a8d8..0000000000 --- a/lib/bignum/t/option_a.t +++ /dev/null @@ -1,31 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 4; - } - -use bignum a => '12'; - -my @C = qw/Math::BigInt Math::BigFloat/; - -foreach my $c (@C) - { - is ($c->accuracy(),12, "$c accuracy = 12"); - } - -bignum->import( accuracy => '23'); - -foreach my $c (@C) - { - is ($c->accuracy(), 23, "$c accuracy = 23"); - } - diff --git a/lib/bignum/t/option_l.t b/lib/bignum/t/option_l.t deleted file mode 100644 index cfa8033f22..0000000000 --- a/lib/bignum/t/option_l.t +++ /dev/null @@ -1,54 +0,0 @@ -#!/usr/bin/perl -w - -# test the "l", "lib", "try" and "only" options: - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 19; - } - -use bignum; - -my @W; -{ -# catch warnings: -require Carp; -no warnings 'redefine'; -*Carp::carp = sub { push @W, $_[0]; }; -} - -my $rc = eval ('bignum->import( "l" => "foo" );'); -is ($@,''); # shouldn't die -is (scalar @W, 1, 'one warning'); -like ($W[0], qr/fallback to Math::/, 'got fallback'); - -$rc = eval ('bignum->import( "lib" => "foo" );'); -is ($@,''); # ditto -is (scalar @W, 2, 'two warnings'); -like ($W[1], qr/fallback to Math::/, 'got fallback'); - -$rc = eval ('bignum->import( "try" => "foo" );'); -is ($@,''); # shouldn't die -$rc = eval ('bignum->import( "try" => "foo" );'); -is ($@,''); # ditto - -$rc = eval ('bignum->import( "foo" => "bar" );'); -like ($@, qr/^Unknown option foo/i, 'died'); # should die - -$rc = eval ('bignum->import( "only" => "bar" );'); -like ($@, qr/fallback disallowed/i, 'died'); # should die - -# test that options are only lowercase (don't see a reason why allow UPPER) - -foreach (qw/L LIB Lib T Trace TRACE V Version VERSION/) - { - $rc = eval ('bignum->import( "$_" => "bar" );'); - like ($@, qr/^Unknown option $_/i, 'died'); # should die - } - diff --git a/lib/bignum/t/option_p.t b/lib/bignum/t/option_p.t deleted file mode 100644 index b84883be4b..0000000000 --- a/lib/bignum/t/option_p.t +++ /dev/null @@ -1,29 +0,0 @@ -#!/usr/bin/perl -w - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 4; - } - -my @C = qw/Math::BigInt Math::BigFloat/; - -use bignum p => '12'; - -foreach my $c (@C) - { - is ($c->precision(),12, "$c precision = 12"); - } - -bignum->import( p => '42' ); - -foreach my $c (@C) - { - is ($c->precision(),42, "$c precision = 42"); - } - diff --git a/lib/bignum/t/ratopt_a.t b/lib/bignum/t/ratopt_a.t deleted file mode 100644 index f004afe428..0000000000 --- a/lib/bignum/t/ratopt_a.t +++ /dev/null @@ -1,34 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 7; - } - -my @C = qw/Math::BigInt Math::BigFloat Math::BigRat/; - -# bigrat (bug until v0.15) -use bigrat a => 2; - -foreach my $c (@C) - { - is ($c->accuracy(), 2, "$c accuracy = 2"); - } - -eval { bigrat->import( accuracy => '42') }; - -is ($@, '', 'no error'); - -foreach my $c (@C) - { - is ($c->accuracy(), 42, "$c accuracy = 42"); - } - diff --git a/lib/bignum/t/scope_f.t b/lib/bignum/t/scope_f.t deleted file mode 100644 index dd748e11c8..0000000000 --- a/lib/bignum/t/scope_f.t +++ /dev/null @@ -1,41 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### -# Test "no bignum;" and overloading of hex()/oct() for newer Perls - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 10; - } - -# no :hex and :oct means these do not get overloaded for older Perls: -use bignum; - -isnt (ref(1), '', 'is in effect'); -isnt (ref(2.0), '', 'is in effect'); -isnt (ref(0x20), '', 'is in effect'); - -SKIP: { - skip ('Need at least Perl v5.9.4', 2) if $] < 5.009004; - - is (ref(hex(9)), 'Math::BigInt', 'hex is overloaded'); - is (ref(oct(07)), 'Math::BigInt', 'oct is overloaded'); - } - -{ - no bignum; - - is (ref(1), '', 'is not in effect'); - is (ref(2.0), '', 'is not in effect'); - is (ref(0x20), '', 'is not in effect'); - - isnt (ref(hex(9)), 'Math::BigInt', 'hex is not overloaded'); - isnt (ref(oct(07)), 'Math::BigInt', 'oct is not overloaded'); -} - diff --git a/lib/bignum/t/scope_i.t b/lib/bignum/t/scope_i.t deleted file mode 100644 index 4e2f1e6e7f..0000000000 --- a/lib/bignum/t/scope_i.t +++ /dev/null @@ -1,42 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### -# Test "no bigint;" and overloading of hex()/oct() for newer Perls - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 10; - } - -# no :hex and :oct means these do not get overloaded for older Perls: -use bigint; - -isnt (ref(1), '', 'is in effect'); -isnt (ref(2.0), '', 'is in effect'); -isnt (ref(0x20), '', 'is in effect'); - -SKIP: { - skip ('Need at least Perl v5.9.4', 2) if $] < "5.009004"; # quote due to "use bigint;" - - is (ref(hex(9)), 'Math::BigInt', 'hex is overloaded'); - is (ref(oct(07)), 'Math::BigInt', 'oct is overloaded'); - } - -{ - no bigint; - - is (ref(1), '', 'is not in effect'); - is (ref(2.0), '', 'is not in effect'); - is (ref(0x20), '', 'is not in effect'); - - isnt (ref(hex(9)), 'Math::BigInt', 'hex is not overloaded'); - isnt (ref(oct(07)), 'Math::BigInt', 'oct is not overloaded'); - -} - diff --git a/lib/bignum/t/scope_r.t b/lib/bignum/t/scope_r.t deleted file mode 100644 index 784fe0e6b0..0000000000 --- a/lib/bignum/t/scope_r.t +++ /dev/null @@ -1,41 +0,0 @@ -#!/usr/bin/perl -w - -############################################################################### -# Test "no bigrat;" and overloading of hex()/oct() for newer Perls - -use Test::More; -use strict; - -BEGIN - { - $| = 1; - chdir 't' if -d 't'; - unshift @INC, '../lib'; - plan tests => 10; - } - -# no :hex and :oct means these do not get overloaded for older Perls: -use bigrat; - -isnt (ref(1), '', 'is in effect'); -isnt (ref(2.0), '', 'is in effect'); -isnt (ref(0x20), '', 'is in effect'); - -SKIP: { - skip ('Need at least Perl v5.9.4', 2) if $] < 5.009004; - - is (ref(hex(9)), 'Math::BigInt', 'hex is overloaded'); - is (ref(oct(07)), 'Math::BigInt', 'oct is overloaded'); - } - -{ - no bigrat; - - is (ref(1), '', 'is not in effect'); - is (ref(2.0), '', 'is not in effect'); - is (ref(0x20), '', 'is not in effect'); - - isnt (ref(hex(9)), 'Math::BigInt', 'hex is not overloaded'); - isnt (ref(oct(07)), 'Math::BigInt', 'oct is not overloaded'); -} - diff --git a/lib/bigrat.pm b/lib/bigrat.pm deleted file mode 100644 index 10e8057abd..0000000000 --- a/lib/bigrat.pm +++ /dev/null @@ -1,566 +0,0 @@ -package bigrat; -use 5.006; - -$VERSION = '0.23'; -require Exporter; -@ISA = qw( bigint ); -@EXPORT_OK = qw( PI e bpi bexp ); -@EXPORT = qw( inf NaN ); - -use strict; -use overload; -require bigint; # no "use" to avoid callind import - -############################################################################## - -BEGIN - { - *inf = \&bigint::inf; - *NaN = \&bigint::NaN; - } - -# 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 unimport - { - $^H{bigrat} = undef; # no longer in effect - overload::remove_constant('binary','','float','','integer'); - } - -sub in_effect - { - my $level = shift || 0; - my $hinthash = (caller($level))[10]; - $hinthash->{bigrat}; - } - -############################################################################# -# the following two routines are for Perl 5.9.4 or later and are lexical - -sub _hex - { - return CORE::hex($_[0]) unless in_effect(1); - my $i = $_[0]; - $i = '0x'.$i unless $i =~ /^0x/; - Math::BigInt->new($i); - } - -sub _oct - { - return CORE::oct($_[0]) unless in_effect(1); - my $i = $_[0]; - return Math::BigInt->from_oct($i) if $i =~ /^0[0-7]/; - Math::BigInt->new($i); - } - -sub import - { - my $self = shift; - - # see also bignum->import() for additional comments - - $^H{bigrat} = 1; # we are in effect - - my ($hex,$oct); - # for newer Perls always override hex() and oct() with a lexical version: - if ($] > 5.009004) - { - $oct = \&_oct; - $hex = \&_hex; - } - # some defaults - my $lib = ''; my $lib_kind = 'try'; 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 -= $s; - } - elsif ($_[$i] =~ /^(l|lib|try|only)$/) - { - # this causes a different low lib to take care... - $lib_kind = $1; $lib_kind = 'lib' if $lib_kind eq 'l'; - $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; $j --; - } - elsif ($_[$i] eq 'hex') - { - splice @a, $j, 1; $j --; - $hex = \&bigint::_hex_global; - } - elsif ($_[$i] eq 'oct') - { - splice @a, $j, 1; $j --; - $oct = \&bigint::_oct_global; - } - elsif ($_[$i] !~ /^(PI|e|bpi|bexp)\z/) - { - 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_kind => $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 { bigint::_binary_constant(shift) }; - - # if another big* was already loaded: - my ($package) = caller(); - - no strict 'refs'; - if (!defined *{"${package}::inf"}) - { - $self->export_to_level(1,$self,@a); # export inf and NaN - } - { - no warnings 'redefine'; - *CORE::GLOBAL::oct = $oct if $oct; - *CORE::GLOBAL::hex = $hex if $hex; - } - } - -sub PI () { Math::BigFloat->new('3.141592653589793238462643383279502884197'); } -sub e () { Math::BigFloat->new('2.718281828459045235360287471352662497757'); } - -sub bpi ($) { local $Math::BigFloat::upgrade; Math::BigFloat::bpi(@_); } - -sub bexp ($$) - { - local $Math::BigFloat::upgrade; - my $x = Math::BigFloat->new($_[0]); $x->bexp($_[1]); - } - -1; - -__END__ - -=head1 NAME - -bigrat - Transparent BigNumber/BigRational support for Perl - -=head1 SYNOPSIS - - use bigrat; - - print 2 + 4.5,"\n"; # BigFloat 6.5 - print 1/3 + 1/4,"\n"; # produces 7/12 - - { - no bigrat; - print 1/3,"\n"; # 0.33333... - } - - # Note that this will make hex() and oct() be globally overriden: - use bigrat qw/hex oct/; - print hex("0x1234567890123490"),"\n"; - print oct("01234567890123490"),"\n"; - -=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 bignum 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 C<lib> warns if none of the specified libraries can be found and -L<Math::BigInt> did fall back to one of the default libraries. -To supress this warning, use C<try> instead: - - use bignum try => 'GMP'; - -If you want the code to die instead of falling back, use C<only> instead: - - use bignum only => 'GMP'; - -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 e - - # perl -Mbigrat=e -wle 'print e' - -Returns Euler's number C<e>, aka exp(1). - -=item PI - - # perl -Mbigrat=PI -wle 'print PI' - -Returns PI. - -=item bexp() - - bexp($power,$accuracy); - - -Returns Euler's number C<e> raised to the appropriate power, to -the wanted accuracy. - -Example: - - # perl -Mbigrat=bexp -wle 'print bexp(1,80)' - -=item bpi() - - bpi($accuracy); - -Returns PI to the wanted accuracy. - -Example: - - # perl -Mbigrat=bpi -wle 'print bpi(80)' - -=item upgrade() - -Return the class that numbers are upgraded to, is in fact returning -C<$Math::BigInt::upgrade>. - -=item 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 C<bigrat> is in effect in the current scope. - -This method only works on Perl v5.9.4 or later. - -=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 hex - -Override the built-in hex() method with a version that can handle big -integers. Note that under Perl v5.9.4 or ealier, this will be global -and cannot be disabled with "no bigint;". - -=item oct - -Override the built-in oct() method with a version that can handle big -integers. Note that under Perl v5.9.4 or ealier, this will be global -and cannot be disabled with "no bigint;". - -=item v or version - -This prints out the name and version of all modules used and then exits. - - perl -Mbigrat=v - -=back - -=head1 CAVAETS - -=over 2 - -=item in_effect() - -This method only works on Perl v5.9.4 or later. - -=item hex()/oct() - -C<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"); - -=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 |