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Diffstat (limited to 'chromium/third_party/cygwin/lib/perl5/5.10/bigint.pm')
| -rw-r--r-- | chromium/third_party/cygwin/lib/perl5/5.10/bigint.pm | 675 |
1 files changed, 0 insertions, 675 deletions
diff --git a/chromium/third_party/cygwin/lib/perl5/5.10/bigint.pm b/chromium/third_party/cygwin/lib/perl5/5.10/bigint.pm deleted file mode 100644 index e143af61d0a..00000000000 --- a/chromium/third_party/cygwin/lib/perl5/5.10/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 |