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1 | package bigint; |
| 2 | require 5.005; |
| 3 | |
| 4 | $VERSION = '0.02'; |
| 5 | use Exporter; |
| 6 | @ISA = qw( Exporter ); |
| 7 | @EXPORT_OK = qw( ); |
| 8 | |
| 9 | use strict; |
| 10 | use overload; |
| 11 | |
| 12 | ############################################################################## |
| 13 | |
| 14 | # These are all alike, and thus faked by AUTOLOAD |
| 15 | |
| 16 | my @faked = qw/round_mode accuracy precision div_scale/; |
| 17 | use vars qw/$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 $name) |
| 28 | { |
| 29 | *{"bigint::$name"} = sub |
| 30 | { |
| 31 | my $self = shift; |
| 32 | no strict 'refs'; |
| 33 | if (defined $_[0]) |
| 34 | { |
| 35 | Math::BigInt->$name($_[0]); |
| 36 | } |
| 37 | return Math::BigInt->$name(); |
| 38 | }; |
| 39 | return &$name; |
| 40 | } |
| 41 | } |
| 42 | |
| 43 | # delayed load of Carp and avoid recursion |
| 44 | require Carp; |
| 45 | Carp::croak ("Can't call bigint\-\>$name, not a valid method"); |
| 46 | } |
| 47 | |
| 48 | sub upgrade |
| 49 | { |
| 50 | my $self = shift; |
| 51 | no strict 'refs'; |
| 52 | # if (defined $_[0]) |
| 53 | # { |
| 54 | # $Math::BigInt::upgrade = $_[0]; |
| 55 | # } |
| 56 | return $Math::BigInt::upgrade; |
| 57 | } |
| 58 | |
| 59 | sub _constant |
| 60 | { |
| 61 | # this takes a floating point constant string and returns it truncated to |
| 62 | # integer. For instance, '4.5' => '4', '1.234e2' => '123' etc |
| 63 | my $float = shift; |
| 64 | |
| 65 | # some simple cases first |
| 66 | return $float if ($float =~ /^[+-]?[0-9]+$/); # '+123','-1','0' etc |
| 67 | return $float |
| 68 | if ($float =~ /^[+-]?[0-9]+\.?[eE]\+?[0-9]+$/); # 123e2, 123.e+2 |
| 69 | return '0' if ($float =~ /^[+-]?[0]*\.[0-9]+$/); # .2, 0.2, -.1 |
| 70 | if ($float =~ /^[+-]?[0-9]+\.[0-9]*$/) # 1., 1.23, -1.2 etc |
| 71 | { |
| 72 | $float =~ s/\..*//; |
| 73 | return $float; |
| 74 | } |
| 75 | my ($mis,$miv,$mfv,$es,$ev) = Math::BigInt::_split(\$float); |
| 76 | return $float if !defined $mis; # doesn't look like a number to me |
| 77 | my $ec = int($$ev); |
| 78 | my $sign = $$mis; $sign = '' if $sign eq '+'; |
| 79 | if ($$es eq '-') |
| 80 | { |
| 81 | # ignore fraction part entirely |
| 82 | if ($ec >= length($$miv)) # 123.23E-4 |
| 83 | { |
| 84 | return '0'; |
| 85 | } |
| 86 | return $sign . substr ($$miv,0,length($$miv)-$ec); # 1234.45E-2 = 12 |
| 87 | } |
| 88 | # xE+y |
| 89 | if ($ec >= length($$mfv)) |
| 90 | { |
| 91 | $ec -= length($$mfv); |
| 92 | return $sign.$$miv.$$mfv if $ec == 0; # 123.45E+2 => 12345 |
| 93 | return $sign.$$miv.$$mfv.'E'.$ec; # 123.45e+3 => 12345e1 |
| 94 | } |
| 95 | $mfv = substr($$mfv,0,$ec); |
| 96 | return $sign.$$miv.$mfv; # 123.45e+1 => 1234 |
| 97 | } |
| 98 | |
| 99 | sub import |
| 100 | { |
| 101 | my $self = shift; |
| 102 | |
| 103 | # some defaults |
| 104 | my $lib = 'Calc'; |
| 105 | |
| 106 | my @import = ( ':constant' ); # drive it w/ constant |
| 107 | my @a = @_; my $l = scalar @_; my $j = 0; |
| 108 | my ($ver,$trace); # version? trace? |
| 109 | my ($a,$p); # accuracy, precision |
| 110 | for ( my $i = 0; $i < $l ; $i++,$j++ ) |
| 111 | { |
| 112 | if ($_[$i] =~ /^(l|lib)$/) |
| 113 | { |
| 114 | # this causes a different low lib to take care... |
| 115 | $lib = $_[$i+1] || ''; |
| 116 | my $s = 2; $s = 1 if @a-$j < 2; # avoid "can not modify non-existant..." |
| 117 | splice @a, $j, $s; $j -= $s; $i++; |
| 118 | } |
| 119 | elsif ($_[$i] =~ /^(a|accuracy)$/) |
| 120 | { |
| 121 | $a = $_[$i+1]; |
| 122 | my $s = 2; $s = 1 if @a-$j < 2; # avoid "can not modify non-existant..." |
| 123 | splice @a, $j, $s; $j -= $s; $i++; |
| 124 | } |
| 125 | elsif ($_[$i] =~ /^(p|precision)$/) |
| 126 | { |
| 127 | $p = $_[$i+1]; |
| 128 | my $s = 2; $s = 1 if @a-$j < 2; # avoid "can not modify non-existant..." |
| 129 | splice @a, $j, $s; $j -= $s; $i++; |
| 130 | } |
| 131 | elsif ($_[$i] =~ /^(v|version)$/) |
| 132 | { |
| 133 | $ver = 1; |
| 134 | splice @a, $j, 1; $j --; |
| 135 | } |
| 136 | elsif ($_[$i] =~ /^(t|trace)$/) |
| 137 | { |
| 138 | $trace = 1; |
| 139 | splice @a, $j, 1; $j --; |
| 140 | } |
| 141 | else { die "unknown option $_[$i]"; } |
| 142 | } |
| 143 | my $class; |
| 144 | $_lite = 0; # using M::BI::L ? |
| 145 | if ($trace) |
| 146 | { |
| 147 | require Math::BigInt::Trace; $class = 'Math::BigInt::Trace'; |
| 126f3c5f |
148 | } |
| 149 | else |
| 150 | { |
| 151 | # see if we can find Math::BigInt::Lite |
| 152 | if (!defined $a && !defined $p) # rounding won't work to well |
| 153 | { |
| 154 | eval 'require Math::BigInt::Lite;'; |
| 155 | if ($@ eq '') |
| 156 | { |
| 157 | @import = ( ); # :constant in Lite, not MBI |
| 158 | Math::BigInt::Lite->import( ':constant' ); |
| 159 | $_lite= 1; # signal okay |
| 160 | } |
| 161 | } |
| 162 | require Math::BigInt if $_lite == 0; # not already loaded? |
| 163 | $class = 'Math::BigInt'; # regardless of MBIL or not |
| 164 | } |
| 165 | # Math::BigInt::Trace or plain Math::BigInt |
| 166 | $class->import(@import, lib => $lib); |
| 167 | |
| 168 | bigint->accuracy($a) if defined $a; |
| 169 | bigint->precision($p) if defined $p; |
| 170 | if ($ver) |
| 171 | { |
| 172 | print "bigint\t\t\t v$VERSION\n"; |
| 173 | print "Math::BigInt::Lite\t v$Math::BigInt::Lite::VERSION\n" if $_lite; |
| 174 | print "Math::BigInt\t\t v$Math::BigInt::VERSION"; |
| 175 | my $config = Math::BigInt->config(); |
| 176 | print " lib => $config->{lib} v$config->{lib_version}\n"; |
| 177 | exit; |
| 178 | } |
| 179 | # we take care of floating point constants, since BigFloat isn't available |
| 180 | # and BigInt doesn't like them: |
| 181 | overload::constant float => sub { Math::BigInt->new( _constant(shift) ); }; |
| 182 | } |
| 183 | |
| 184 | 1; |
| 185 | |
| 186 | __END__ |
| 187 | |
| 188 | =head1 NAME |
| 189 | |
| 190 | bigint - Transparent big integer support for Perl |
| 191 | |
| 192 | =head1 SYNOPSIS |
| 193 | |
| 194 | use bignt; |
| 195 | |
| 196 | $x = 2 + 4.5,"\n"; # BigInt 6 |
| 197 | print 2 ** 512; # really is what you think it is |
| 198 | |
| 199 | =head1 DESCRIPTION |
| 200 | |
| 201 | All operators (including basic math operations) are overloaded. Integer |
| 202 | constants are created as proper BigInts. |
| 203 | |
| 204 | Floating point constants are truncated to integer. All results are also |
| 205 | trunctaed. |
| 206 | |
| 207 | =head2 OPTIONS |
| 208 | |
| 209 | bigint recognizes some options that can be passed while loading it via use. |
| 210 | The options can (currently) be either a single letter form, or the long form. |
| 211 | The following options exist: |
| 212 | |
| 213 | =over 2 |
| 214 | |
| 215 | =item a or accuracy |
| 216 | |
| 217 | This sets the accuracy for all math operations. The argument must be greater |
| 218 | than or equal to zero. See Math::BigInt's bround() function for details. |
| 219 | |
| 220 | perl -Mbigint=a,2 -le 'print 12345+1' |
| 221 | |
| 222 | =item p or precision |
| 223 | |
| 224 | This sets the precision for all math operations. The argument can be any |
| 225 | integer. Negative values mean a fixed number of digits after the dot, and |
| 226 | are <B>ignored</B> since all operations happen in integer space. |
| 227 | A positive value rounds to this digit left from the dot. 0 or 1 mean round to |
| 228 | integer and are ignore like negative values. |
| 229 | |
| 230 | See Math::BigInt's bfround() function for details. |
| 231 | |
| 232 | perl -Mbignum=p,5 -le 'print 123456789+123' |
| 233 | |
| 234 | =item t or trace |
| 235 | |
| 236 | This enables a trace mode and is primarily for debugging bigint or |
| 237 | Math::BigInt. |
| 238 | |
| 239 | =item l or lib |
| 240 | |
| 241 | Load a different math lib, see L<MATH LIBRARY>. |
| 242 | |
| 243 | perl -Mbigint=l,GMP -e 'print 2 ** 512' |
| 244 | |
| 245 | Currently there is no way to specify more than one library on the command |
| 246 | line. This will be hopefully fixed soon ;) |
| 247 | |
| 248 | =item v or version |
| 249 | |
| 250 | This prints out the name and version of all modules used and then exits. |
| 251 | |
| 252 | perl -Mbigint=v -e '' |
| 253 | |
| 254 | =head2 MATH LIBRARY |
| 255 | |
| 256 | Math with the numbers is done (by default) by a module called |
| 257 | Math::BigInt::Calc. This is equivalent to saying: |
| 258 | |
| 259 | use bigint lib => 'Calc'; |
| 260 | |
| 261 | You can change this by using: |
| 262 | |
| 263 | use bigint lib => 'BitVect'; |
| 264 | |
| 265 | The following would first try to find Math::BigInt::Foo, then |
| 266 | Math::BigInt::Bar, and when this also fails, revert to Math::BigInt::Calc: |
| 267 | |
| 268 | use bigint lib => 'Foo,Math::BigInt::Bar'; |
| 269 | |
| 270 | Please see respective module documentation for further details. |
| 271 | |
| 272 | =head2 INTERNAL FORMAT |
| 273 | |
| 274 | The numbers are stored as objects, and their internals might change at anytime, |
| 275 | especially between math operations. The objects also might belong to different |
| 276 | classes, like Math::BigInt, or Math::BigInt::Lite. Mixing them together, even |
| 277 | with normal scalars is not extraordinary, but normal and expected. |
| 278 | |
| 279 | You should not depend on the internal format, all accesses must go through |
| 280 | accessor methods. E.g. looking at $x->{sign} is not a bright idea since there |
| 281 | is no guaranty that the object in question has such a hash key, nor is a hash |
| 282 | underneath at all. |
| 283 | |
| 284 | =head2 SIGN |
| 285 | |
| 286 | The sign is either '+', '-', 'NaN', '+inf' or '-inf' and stored seperately. |
| 287 | You can access it with the sign() method. |
| 288 | |
| 289 | A sign of 'NaN' is used to represent the result when input arguments are not |
| 290 | numbers or as a result of 0/0. '+inf' and '-inf' represent plus respectively |
| 291 | minus infinity. You will get '+inf' when dividing a positive number by 0, and |
| 292 | '-inf' when dividing any negative number by 0. |
| 293 | |
| 294 | =head2 METHODS |
| 295 | |
| 296 | Since all numbers are now objects, you can use all functions that are part of |
| 297 | the BigInt API. You can only use the bxxx() notation, and not the fxxx() |
| 298 | notation, though. |
| 299 | |
| 300 | =head1 MODULES USED |
| 301 | |
| 302 | C<bigint> is just a thin wrapper around various modules of the Math::BigInt |
| 303 | family. Think of it as the head of the family, who runs the shop, and orders |
| 304 | the others to do the work. |
| 305 | |
| 306 | The following modules are currently used by bigint: |
| 307 | |
| 308 | Math::BigInt::Lite (for speed, and only if it is loadable) |
| 309 | Math::BigInt |
| 310 | |
| 311 | =head1 EXAMPLES |
| 312 | |
| 313 | Some cool command line examples to impress the Python crowd ;) You might want |
| 314 | to compare them to the results under -Mbignum or -Mbigrat: |
| 315 | |
| 316 | perl -Mbigint -le 'print sqrt(33)' |
| 317 | perl -Mbigint -le 'print 2*255' |
| 318 | perl -Mbigint -le 'print 4.5+2*255' |
| 319 | perl -Mbigint -le 'print 3/7 + 5/7 + 8/3' |
| 320 | perl -Mbigint -le 'print 123->is_odd()' |
| 321 | perl -Mbigint -le 'print log(2)' |
| 322 | perl -Mbigint -le 'print 2 ** 0.5' |
| 323 | perl -Mbigint=a,65 -le 'print 2 ** 0.2' |
| 324 | |
| 325 | =head1 LICENSE |
| 326 | |
| 327 | This program is free software; you may redistribute it and/or modify it under |
| 328 | the same terms as Perl itself. |
| 329 | |
| 330 | =head1 SEE ALSO |
| 331 | |
| 332 | Especially L<bigrat> as in C<perl -Mbigrat -le 'print 1/3+1/4'> and |
| 333 | L<bignum> as in C<perl -Mbignum -le 'print sqrt(2)'>. |
| 334 | |
| 335 | L<Math::BigInt>, L<Math::BigRat> and L<Math::Big> as well |
| 336 | as L<Math::BigInt::BitVect>, L<Math::BigInt::Pari> and L<Math::BigInt::GMP>. |
| 337 | |
| 338 | =head1 AUTHORS |
| 339 | |
| 340 | (C) by Tels L<http://bloodgate.com/> in early 2002. |
| 341 | |
| 342 | =cut |
projects / p5sagit/p5-mst-13.2.git / blame