X-Git-Url: http://git.shadowcat.co.uk/gitweb/gitweb.cgi?a=blobdiff_plain;f=lib%2Fbigrat.pl;h=fb436ce570814edd15ebe285c2315664d60e3ed2;hb=9d116dd7c895b17badf4ad422ae44da0c4df7bc2;hp=008befff2080886ddcb4bfa11c1a2f58844b9745;hpb=fe14fcc35f78a371a174a1d14256c2f35ae4262b;p=p5sagit%2Fp5-mst-13.2.git diff --git a/lib/bigrat.pl b/lib/bigrat.pl index 008beff..fb436ce 100644 --- a/lib/bigrat.pl +++ b/lib/bigrat.pl @@ -3,6 +3,8 @@ require "bigint.pl"; # Arbitrary size rational math package # +# by Mark Biggar +# # Input values to these routines consist of strings of the form # m|^\s*[+-]?[\d\s]+(/[\d\s]+)?$|. # Examples: @@ -53,6 +55,7 @@ sub norm { #(bint, bint) return rat_num 'NaN'; } else { local($gcd) = &'bgcd($num,$dom); + $gcd =~ s/^-/+/; if ($gcd ne '+1') { $num = &'bdiv($num,$gcd); $dom = &'bdiv($dom,$gcd); @@ -60,63 +63,63 @@ sub norm { #(bint, bint) return rat_num $num = &'bnorm($num); $dom = &'bnorm($dom); } - substr($dom,0,1) = ''; + substr($dom,$[,1) = ''; "$num/$dom"; } } # negation sub main'rneg { #(rat_num) return rat_num - local($_) = &'rnorm($_[0]); + local($_) = &'rnorm(@_); tr/-+/+-/ if ($_ ne '+0/1'); $_; } # absolute value sub main'rabs { #(rat_num) return $rat_num - local($_) = &'rnorm($_[0]); - substr($_,0,1) = '+' unless $_ eq 'NaN'; + local($_) = &'rnorm(@_); + substr($_,$[,1) = '+' unless $_ eq 'NaN'; $_; } # multipication sub main'rmul { #(rat_num, rat_num) return rat_num - local($xn,$xd) = split('/',&'rnorm($_[0])); - local($yn,$yd) = split('/',&'rnorm($_[1])); + local($xn,$xd) = split('/',&'rnorm($_[$[])); + local($yn,$yd) = split('/',&'rnorm($_[$[+1])); &norm(&'bmul($xn,$yn),&'bmul($xd,$yd)); } # division sub main'rdiv { #(rat_num, rat_num) return rat_num - local($xn,$xd) = split('/',&'rnorm($_[0])); - local($yn,$yd) = split('/',&'rnorm($_[1])); + local($xn,$xd) = split('/',&'rnorm($_[$[])); + local($yn,$yd) = split('/',&'rnorm($_[$[+1])); &norm(&'bmul($xn,$yd),&'bmul($xd,$yn)); } # addition sub main'radd { #(rat_num, rat_num) return rat_num - local($xn,$xd) = split('/',&'rnorm($_[0])); - local($yn,$yd) = split('/',&'rnorm($_[1])); + local($xn,$xd) = split('/',&'rnorm($_[$[])); + local($yn,$yd) = split('/',&'rnorm($_[$[+1])); &norm(&'badd(&'bmul($xn,$yd),&'bmul($yn,$xd)),&'bmul($xd,$yd)); } # subtraction sub main'rsub { #(rat_num, rat_num) return rat_num - local($xn,$xd) = split('/',&'rnorm($_[0])); - local($yn,$yd) = split('/',&'rnorm($_[1])); + local($xn,$xd) = split('/',&'rnorm($_[$[])); + local($yn,$yd) = split('/',&'rnorm($_[$[+1])); &norm(&'bsub(&'bmul($xn,$yd),&'bmul($yn,$xd)),&'bmul($xd,$yd)); } # comparison sub main'rcmp { #(rat_num, rat_num) return cond_code - local($xn,$xd) = split('/',&'rnorm($_[0])); - local($yn,$yd) = split('/',&'rnorm($_[1])); + local($xn,$xd) = split('/',&'rnorm($_[$[])); + local($yn,$yd) = split('/',&'rnorm($_[$[+1])); &bigint'cmp(&'bmul($xn,$yd),&'bmul($yn,$xd)); } # int and frac parts sub main'rmod { #(rat_num) return (rat_num,rat_num) - local($xn,$xd) = split('/',&'rnorm($_[0])); + local($xn,$xd) = split('/',&'rnorm(@_)); local($i,$f) = &'bdiv($xn,$xd); if (wantarray) { ("$i/1", "$f/$xd"); @@ -128,7 +131,7 @@ sub main'rmod { #(rat_num) return (rat_num,rat_num) # square root by Newtons method. # cycles specifies the number of iterations default: 5 sub main'rsqrt { #(fnum_str[, cycles]) return fnum_str - local($x, $scale) = (&'rnorm($_[0]), $_[1]); + local($x, $scale) = (&'rnorm($_[$[]), $_[$[+1]); if ($x eq 'NaN') { 'NaN'; } elsif ($x =~ /^-/) {