X-Git-Url: http://git.shadowcat.co.uk/gitweb/gitweb.cgi?a=blobdiff_plain;f=lib%2FMath%2FBigInt.pm;h=a43969c2b2328aa7dcd10e2bfd81ba9967273ea5;hb=f4c556ac9d141bf86702c68d95acad2db5ec6874;hp=cd5c221b84f416863aada0470446d740808bfcd3;hpb=9f6ab4074f86da83f9650997df3135d1f2daf062;p=p5sagit%2Fp5-mst-13.2.git diff --git a/lib/Math/BigInt.pm b/lib/Math/BigInt.pm index cd5c221..a43969c 100644 --- a/lib/Math/BigInt.pm +++ b/lib/Math/BigInt.pm @@ -4,10 +4,8 @@ use overload '+' => sub {new Math::BigInt &badd}, '-' => sub {new Math::BigInt $_[2]? bsub($_[1],${$_[0]}) : bsub(${$_[0]},$_[1])}, -'<=>' => sub {new Math::BigInt - $_[2]? bcmp($_[1],${$_[0]}) : bcmp(${$_[0]},$_[1])}, -'cmp' => sub {new Math::BigInt - $_[2]? ($_[1] cmp ${$_[0]}) : (${$_[0]} cmp $_[1])}, +'<=>' => sub {$_[2]? bcmp($_[1],${$_[0]}) : bcmp(${$_[0]},$_[1])}, +'cmp' => sub {$_[2]? ($_[1] cmp ${$_[0]}) : (${$_[0]} cmp $_[1])}, '*' => sub {new Math::BigInt &bmul}, '/' => sub {new Math::BigInt $_[2]? scalar bdiv($_[1],${$_[0]}) : @@ -18,6 +16,14 @@ use overload $_[2]? bpow($_[1],${$_[0]}) : bpow(${$_[0]},$_[1])}, 'neg' => sub {new Math::BigInt &bneg}, 'abs' => sub {new Math::BigInt &babs}, +'<<' => sub {new Math::BigInt + $_[2]? blsft($_[1],${$_[0]}) : blsft(${$_[0]},$_[1])}, +'>>' => sub {new Math::BigInt + $_[2]? brsft($_[1],${$_[0]}) : brsft(${$_[0]},$_[1])}, +'&' => sub {new Math::BigInt &band}, +'|' => sub {new Math::BigInt &bior}, +'^' => sub {new Math::BigInt &bxor}, +'~' => sub {new Math::BigInt &bnot}, qw( "" stringify @@ -258,9 +264,11 @@ sub bdiv { #(dividend: num_str, divisor: num_str) return num_str else { push(@x, 0); } - @q = (); ($v2,$v1) = ($y[-2] || 0, $y[-1]); + @q = (); ($v2,$v1) = @y[-2,-1]; + $v2 = 0 unless $v2; while ($#x > $#y) { - ($u2,$u1,$u0) = ($x[-3] || 0, $x[-2] || 0, $x[-1]); + ($u2,$u1,$u0) = @x[-3..-1]; + $u2 = 0 unless $u2; $q = (($u0 == $v1) ? 99999 : int(($u0*1e5+$u1)/$v1)); --$q while ($v2*$q > ($u0*1e5+$u1-$q*$v1)*1e5+$u2); if ($q) { @@ -328,6 +336,69 @@ sub bpow { #(num_str, num_str) return num_str } } +# compute x << y, y >= 0 +sub blsft { #(num_str, num_str) return num_str + &bmul($_[$[], &bpow(2, $_[$[+1])); +} + +# compute x >> y, y >= 0 +sub brsft { #(num_str, num_str) return num_str + &bdiv($_[$[], &bpow(2, $_[$[+1])); +} + +# compute x & y +sub band { #(num_str, num_str) return num_str + local($x,$y,$r,$m,$xr,$yr) = (&bnorm($_[$[]),&bnorm($_[$[+1]),0,1); + if ($x eq 'NaN' || $y eq 'NaN') { + 'NaN'; + } else { + while ($x ne '+0' && $y ne '+0') { + ($x, $xr) = &bdiv($x, 0x10000); + ($y, $yr) = &bdiv($y, 0x10000); + $r = &badd(&bmul(int $xr & $yr, $m), $r); + $m = &bmul($m, 0x10000); + } + $r; + } +} + +# compute x | y +sub bior { #(num_str, num_str) return num_str + local($x,$y,$r,$m,$xr,$yr) = (&bnorm($_[$[]),&bnorm($_[$[+1]),0,1); + if ($x eq 'NaN' || $y eq 'NaN') { + 'NaN'; + } else { + while ($x ne '+0' || $y ne '+0') { + ($x, $xr) = &bdiv($x, 0x10000); + ($y, $yr) = &bdiv($y, 0x10000); + $r = &badd(&bmul(int $xr | $yr, $m), $r); + $m = &bmul($m, 0x10000); + } + $r; + } +} + +# compute x ^ y +sub bxor { #(num_str, num_str) return num_str + local($x,$y,$r,$m,$xr,$yr) = (&bnorm($_[$[]),&bnorm($_[$[+1]),0,1); + if ($x eq 'NaN' || $y eq 'NaN') { + 'NaN'; + } else { + while ($x ne '+0' || $y ne '+0') { + ($x, $xr) = &bdiv($x, 0x10000); + ($y, $yr) = &bdiv($y, 0x10000); + $r = &badd(&bmul(int $xr ^ $yr, $m), $r); + $m = &bmul($m, 0x10000); + } + $r; + } +} + +# represent ~x as twos-complement number +sub bnot { #(num_str) return num_str + &bsub(-1,$_[$[]); +} + 1; __END__ @@ -350,6 +421,12 @@ Math::BigInt - Arbitrary size integer math package $i->bmod(BINT) return BINT modulus $i->bgcd(BINT) return BINT greatest common divisor $i->bnorm return BINT normalization + $i->blsft(BINT) return BINT left shift + $i->brsft(BINT) return (BINT,BINT) right shift (quo,rem) just quo if scalar + $i->band(BINT) return BINT bit-wise and + $i->bior(BINT) return BINT bit-wise inclusive or + $i->bxor(BINT) return BINT bit-wise exclusive or + $i->bnot return BINT bit-wise not =head1 DESCRIPTION @@ -400,8 +477,8 @@ In particular perl -MMath::BigInt=:constant -e 'print 2**100' -print the integer value of C<2**100>. Note that without convertion of -constants the expression 2**100 will be calculatted as floating point number. +print the integer value of C<2**100>. Note that without conversion of +constants the expression 2**100 will be calculated as floating point number. =head1 BUGS