| 1 | package bigrat; |
| 2 | require 5.005; |
| 3 | |
| 4 | $VERSION = '0.05'; |
| 5 | use Exporter; |
| 6 | @ISA = qw( Exporter ); |
| 7 | @EXPORT_OK = qw( ); |
| 8 | @EXPORT = qw( inf NaN ); |
| 9 | |
| 10 | use strict; |
| 11 | |
| 12 | ############################################################################## |
| 13 | |
| 14 | # These are all alike, and thus faked by AUTOLOAD |
| 15 | |
| 16 | my @faked = qw/round_mode accuracy precision div_scale/; |
| 17 | use vars qw/$VERSION $AUTOLOAD $_lite/; # _lite for testsuite |
| 18 | |
| 19 | sub AUTOLOAD |
| 20 | { |
| 21 | my $name = $AUTOLOAD; |
| 22 | |
| 23 | $name =~ s/.*:://; # split package |
| 24 | no strict 'refs'; |
| 25 | foreach my $n (@faked) |
| 26 | { |
| 27 | if ($n eq $name) |
| 28 | { |
| 29 | *{"bigrat::$name"} = sub |
| 30 | { |
| 31 | my $self = shift; |
| 32 | no strict 'refs'; |
| 33 | if (defined $_[0]) |
| 34 | { |
| 35 | Math::BigInt->$name($_[0]); |
| 36 | Math::BigFloat->$name($_[0]); |
| 37 | } |
| 38 | return Math::BigInt->$name(); |
| 39 | }; |
| 40 | return &$name; |
| 41 | } |
| 42 | } |
| 43 | |
| 44 | # delayed load of Carp and avoid recursion |
| 45 | require Carp; |
| 46 | Carp::croak ("Can't call bigrat\-\>$name, not a valid method"); |
| 47 | } |
| 48 | |
| 49 | sub upgrade |
| 50 | { |
| 51 | my $self = shift; |
| 52 | no strict 'refs'; |
| 53 | # if (defined $_[0]) |
| 54 | # { |
| 55 | # $Math::BigInt::upgrade = $_[0]; |
| 56 | # $Math::BigFloat::upgrade = $_[0]; |
| 57 | # } |
| 58 | return $Math::BigInt::upgrade; |
| 59 | } |
| 60 | |
| 61 | sub import |
| 62 | { |
| 63 | my $self = shift; |
| 64 | |
| 65 | # see also bignum->import() for additional comments |
| 66 | |
| 67 | # some defaults |
| 68 | my $lib = 'Calc'; my $upgrade = 'Math::BigFloat'; |
| 69 | |
| 70 | my @import = ( ':constant' ); # drive it w/ constant |
| 71 | my @a = @_; my $l = scalar @_; my $j = 0; |
| 72 | my ($a,$p); |
| 73 | my ($ver,$trace); # version? trace? |
| 74 | for ( my $i = 0; $i < $l ; $i++,$j++ ) |
| 75 | { |
| 76 | if ($_[$i] eq 'upgrade') |
| 77 | { |
| 78 | # this causes upgrading |
| 79 | $upgrade = $_[$i+1]; # or undef to disable |
| 80 | my $s = 2; $s = 1 if @a-$j < 2; # avoid "can not modify non-existant..." |
| 81 | splice @a, $j, $s; $j -= $s; |
| 82 | } |
| 83 | elsif ($_[$i] =~ /^(l|lib)$/) |
| 84 | { |
| 85 | # this causes a different low lib to take care... |
| 86 | $lib = $_[$i+1] || ''; |
| 87 | my $s = 2; $s = 1 if @a-$j < 2; # avoid "can not modify non-existant..." |
| 88 | splice @a, $j, $s; $j -= $s; |
| 89 | } |
| 90 | elsif ($_[$i] =~ /^(v|version)$/) |
| 91 | { |
| 92 | $ver = 1; |
| 93 | splice @a, $j, 1; $j --; |
| 94 | } |
| 95 | elsif ($_[$i] =~ /^(t|trace)$/) |
| 96 | { |
| 97 | $trace = 1; |
| 98 | splice @a, $j, 1; $j --; |
| 99 | } |
| 100 | else |
| 101 | { |
| 102 | die ("unknown option $_[$i]"); |
| 103 | } |
| 104 | } |
| 105 | my $class; |
| 106 | $_lite = 0; # using M::BI::L ? |
| 107 | if ($trace) |
| 108 | { |
| 109 | require Math::BigInt::Trace; $class = 'Math::BigInt::Trace'; |
| 110 | $upgrade = 'Math::BigFloat::Trace'; |
| 111 | } |
| 112 | else |
| 113 | { |
| 114 | # see if we can find Math::BigInt::Lite |
| 115 | if (!defined $a && !defined $p) # rounding won't work to well |
| 116 | { |
| 117 | eval 'require Math::BigInt::Lite;'; |
| 118 | if ($@ eq '') |
| 119 | { |
| 120 | @import = ( ); # :constant in Lite, not MBI |
| 121 | Math::BigInt::Lite->import( ':constant' ); |
| 122 | $_lite= 1; # signal okay |
| 123 | } |
| 124 | } |
| 125 | require Math::BigInt if $_lite == 0; # not already loaded? |
| 126 | $class = 'Math::BigInt'; # regardless of MBIL or not |
| 127 | } |
| 128 | # Math::BigInt::Trace or plain Math::BigInt |
| 129 | $class->import(@import, upgrade => $upgrade, lib => $lib); |
| 130 | |
| 131 | require Math::BigFloat; |
| 132 | Math::BigFloat->import( upgrade => 'Math::BigRat', ':constant' ); |
| 133 | require Math::BigRat; |
| 134 | if ($ver) |
| 135 | { |
| 136 | print "bigrat\t\t\t v$VERSION\n"; |
| 137 | print "Math::BigInt::Lite\t v$Math::BigInt::Lite::VERSION\n" if $_lite; |
| 138 | print "Math::BigInt\t\t v$Math::BigInt::VERSION"; |
| 139 | my $config = Math::BigInt->config(); |
| 140 | print " lib => $config->{lib} v$config->{lib_version}\n"; |
| 141 | print "Math::BigFloat\t\t v$Math::BigFloat::VERSION\n"; |
| 142 | print "Math::BigRat\t\t v$Math::BigRat::VERSION\n"; |
| 143 | exit; |
| 144 | } |
| 145 | $self->export_to_level(1,$self,@a); # export inf and NaN |
| 146 | } |
| 147 | |
| 148 | sub inf () { Math::BigInt->binf(); } |
| 149 | sub NaN () { Math::BigInt->bnan(); } |
| 150 | |
| 151 | 1; |
| 152 | |
| 153 | __END__ |
| 154 | |
| 155 | =head1 NAME |
| 156 | |
| 157 | bigrat - Transparent BigNumber/BigRationale support for Perl |
| 158 | |
| 159 | =head1 SYNOPSIS |
| 160 | |
| 161 | use bigrat; |
| 162 | |
| 163 | $x = 2 + 4.5,"\n"; # BigFloat 6.5 |
| 164 | print 1/3 + 1/4,"\n"; # produces 7/12 |
| 165 | |
| 166 | =head1 DESCRIPTION |
| 167 | |
| 168 | All operators (inlcuding basic math operations) are overloaded. Integer and |
| 169 | floating-point constants are created as proper BigInts or BigFloats, |
| 170 | respectively. |
| 171 | |
| 172 | Other than L<bignum>, this module upgrades to Math::BigRat, meaning that |
| 173 | instead of 2.5 you will get 2+1/2 as output. |
| 174 | |
| 175 | =head2 MODULES USED |
| 176 | |
| 177 | C<bigrat> is just a thin wrapper around various modules of the Math::BigInt |
| 178 | family. Think of it as the head of the family, who runs the shop, and orders |
| 179 | the others to do the work. |
| 180 | |
| 181 | The following modules are currently used by bignum: |
| 182 | |
| 183 | Math::BigInt::Lite (for speed, and only if it is loadable) |
| 184 | Math::BigInt |
| 185 | Math::BigFloat |
| 186 | Math::BigRat |
| 187 | |
| 188 | =head2 MATH LIBRARY |
| 189 | |
| 190 | Math with the numbers is done (by default) by a module called |
| 191 | Math::BigInt::Calc. This is equivalent to saying: |
| 192 | |
| 193 | use bigrat lib => 'Calc'; |
| 194 | |
| 195 | You can change this by using: |
| 196 | |
| 197 | use bigrat lib => 'BitVect'; |
| 198 | |
| 199 | The following would first try to find Math::BigInt::Foo, then |
| 200 | Math::BigInt::Bar, and when this also fails, revert to Math::BigInt::Calc: |
| 201 | |
| 202 | use bigrat lib => 'Foo,Math::BigInt::Bar'; |
| 203 | |
| 204 | Please see respective module documentation for further details. |
| 205 | |
| 206 | =head2 SIGN |
| 207 | |
| 208 | The sign is either '+', '-', 'NaN', '+inf' or '-inf' and stored seperately. |
| 209 | |
| 210 | A sign of 'NaN' is used to represent the result when input arguments are not |
| 211 | numbers or as a result of 0/0. '+inf' and '-inf' represent plus respectively |
| 212 | minus infinity. You will get '+inf' when dividing a positive number by 0, and |
| 213 | '-inf' when dividing any negative number by 0. |
| 214 | |
| 215 | =head2 METHODS |
| 216 | |
| 217 | Since all numbers are not objects, you can use all functions that are part of |
| 218 | the BigInt or BigFloat API. It is wise to use only the bxxx() notation, and not |
| 219 | the fxxx() notation, though. This makes you independed on the fact that the |
| 220 | underlying object might morph into a different class than BigFloat. |
| 221 | |
| 222 | =head1 EXAMPLES |
| 223 | |
| 224 | perl -Mbigrat -le 'print sqrt(33)' |
| 225 | perl -Mbigrat -le 'print 2*255' |
| 226 | perl -Mbigrat -le 'print 4.5+2*255' |
| 227 | perl -Mbigrat -le 'print 3/7 + 5/7 + 8/3' |
| 228 | perl -Mbigrat -le 'print 12->is_odd()'; |
| 229 | |
| 230 | =head1 LICENSE |
| 231 | |
| 232 | This program is free software; you may redistribute it and/or modify it under |
| 233 | the same terms as Perl itself. |
| 234 | |
| 235 | =head1 SEE ALSO |
| 236 | |
| 237 | Especially L<bignum>. |
| 238 | |
| 239 | L<Math::BigFloat>, L<Math::BigInt>, L<Math::BigRat> and L<Math::Big> as well |
| 240 | as L<Math::BigInt::BitVect>, L<Math::BigInt::Pari> and L<Math::BigInt::GMP>. |
| 241 | |
| 242 | =head1 AUTHORS |
| 243 | |
| 244 | (C) by Tels L<http://bloodgate.com/> in early 2002. |
| 245 | |
| 246 | =cut |