X-Git-Url: http://git.shadowcat.co.uk/gitweb/gitweb.cgi?a=blobdiff_plain;f=lib%2Fbigint.pl;h=bd1d91f82293343aab7f112bfcddef0cff253344;hb=35c0985d87e203a100f5c5fc6518bee6a2e2fd9d;hp=a2a0da977e4a0e29c280c67b29f3efea78da4801;hpb=79072805bf63abe5b5978b5928ab00d360ea3e7f;p=p5sagit%2Fp5-mst-13.2.git diff --git a/lib/bigint.pl b/lib/bigint.pl index a2a0da9..bd1d91f 100644 --- a/lib/bigint.pl +++ b/lib/bigint.pl @@ -1,5 +1,13 @@ package bigint; - +# +# This library is no longer being maintained, and is included for backward +# compatibility with Perl 4 programs which may require it. +# +# In particular, this should not be used as an example of modern Perl +# programming techniques. +# +# Suggested alternative: Math::BigInt +# # arbitrary size integer math package # # by Mark Biggar @@ -12,7 +20,7 @@ package bigint; # '+0' canonical zero value # ' -123 123 123' canonical value '-123123123' # '1 23 456 7890' canonical value '+1234567890' -# Output values always always in canonical form +# Output values always in canonical form # # Actual math is done in an internal format consisting of an array # whose first element is the sign (/^[+-]$/) and whose remaining @@ -33,10 +41,20 @@ package bigint; # bgcd(BINT,BINT) return BINT greatest common divisor # bnorm(BINT) return BINT normalization # + +# overcome a floating point problem on certain osnames (posix-bc, os390) +BEGIN { + my $x = 100000.0; + my $use_mult = int($x*1e-5)*1e5 == $x ? 1 : 0; +} + +$zero = 0; + # normalize string form of number. Strip leading zeros. Strip any # white space and add a sign, if missing. # Strings that are not numbers result the value 'NaN'. + sub main'bnorm { #(num_str) return num_str local($_) = @_; s/\s+//g; # strip white space @@ -70,7 +88,7 @@ sub external { #(int_num_array) return num_str sub main'bneg { #(num_str) return num_str local($_) = &'bnorm(@_); vec($_,0,8) ^= ord('+') ^ ord('-') unless $_ eq '+0'; - s/^H/N/; + s/^./N/ unless /^[-+]/; # works both in ASCII and EBCDIC $_; } @@ -99,13 +117,23 @@ sub main'bcmp { #(num_str, num_str) return cond_code sub cmp { # post-normalized compare for internal use local($cx, $cy) = @_; - $cx cmp $cy - && - ( - ord($cy) <=> ord($cx) - || - ($cx cmp ',') * (length($cy) <=> length($cx) || $cy cmp $cx) - ); + return 0 if ($cx eq $cy); + + local($sx, $sy) = (substr($cx, 0, 1), substr($cy, 0, 1)); + local($ld); + + if ($sx eq '+') { + return 1 if ($sy eq '-' || $cy eq '+0'); + $ld = length($cx) - length($cy); + return $ld if ($ld); + return $cx cmp $cy; + } else { # $sx eq '-' + return -1 if ($sy eq '+'); + $ld = length($cy) - length($cx); + return $ld if ($ld); + return $cy cmp $cx; + } + } sub main'badd { #(num_str, num_str) return num_str @@ -154,11 +182,11 @@ sub add { #(int_num_array, int_num_array) return int_num_array $car = 0; for $x (@x) { last unless @y || $car; - $x -= 1e5 if $car = (($x += shift(@y) + $car) >= 1e5); + $x -= 1e5 if $car = (($x += shift(@y) + $car) >= 1e5) ? 1 : 0; } for $y (@y) { last unless $car; - $y -= 1e5 if $car = (($y += $car) >= 1e5); + $y -= 1e5 if $car = (($y += $car) >= 1e5) ? 1 : 0; } (@x, @y, $car); } @@ -190,8 +218,14 @@ sub main'bmul { #(num_str, num_str) return num_str ($car, $cty) = (0, $[); for $y (@y) { $prod = $x * $y + $prod[$cty] + $car; - $prod[$cty++] = - $prod - ($car = int($prod * 1e-5)) * 1e5; + if ($use_mult) { + $prod[$cty++] = + $prod - ($car = int($prod * 1e-5)) * 1e5; + } + else { + $prod[$cty++] = + $prod - ($car = int($prod / 1e5)) * 1e5; + } } $prod[$cty] += $car if $car; $x = shift @prod; @@ -217,27 +251,42 @@ sub main'bdiv { #(dividend: num_str, divisor: num_str) return num_str if (($dd = int(1e5/($y[$#y]+1))) != 1) { for $x (@x) { $x = $x * $dd + $car; + if ($use_mult) { $x -= ($car = int($x * 1e-5)) * 1e5; + } + else { + $x -= ($car = int($x / 1e5)) * 1e5; + } } push(@x, $car); $car = 0; for $y (@y) { $y = $y * $dd + $car; + if ($use_mult) { $y -= ($car = int($y * 1e-5)) * 1e5; + } + else { + $y -= ($car = int($y / 1e5)) * 1e5; + } } } else { push(@x, 0); } - @q = (); ($v2,$v1) = @y[$#y-1,$#y]; + @q = (); ($v2,$v1) = @y[-2,-1]; while ($#x > $#y) { - ($u2,$u1,$u0) = @x[($#x-2)..$#x]; + ($u2,$u1,$u0) = @x[-3..-1]; $q = (($u0 == $v1) ? 99999 : int(($u0*1e5+$u1)/$v1)); --$q while ($v2*$q > ($u0*1e5+$u1-$q*$v1)*1e5+$u2); if ($q) { ($car, $bar) = (0,0); for ($y = $[, $x = $#x-$#y+$[-1; $y <= $#y; ++$y,++$x) { $prd = $q * $y[$y] + $car; + if ($use_mult) { $prd -= ($car = int($prd * 1e-5)) * 1e5; + } + else { + $prd -= ($car = int($prd / 1e5)) * 1e5; + } $x[$x] += 1e5 if ($bar = (($x[$x] -= $prd + $bar) < 0)); } if ($x[$#x] < $car + $bar) { @@ -263,7 +312,7 @@ sub main'bdiv { #(dividend: num_str, divisor: num_str) return num_str else { @d = @x; } - (&external($sr, @q), &external($srem, @d, 0)); + (&external($sr, @q), &external($srem, @d, $zero)); } else { &external($sr, @q); }