#!/usr/local/bin/perl package ActinicDiffie; use Exporter; @ActinicDiffie::ISA = ('Exporter'); @ActinicDiffie::EXPORT_OK = ('ModPow', 'Encrypt', 'InitDiffie', , 'AsBytes', 'AsHex', 'g_nPrime', 'g_nBase', 'g_nPublicKey', 'bnorm'); $ActinicDiffie::BLOB_HEADER_LENGTH = 8; $ActinicDiffie::BLOB_VERSION_1 = 1; $ActinicDiffie::BLOB_VERSION_2 = 2; $ActinicDiffie::BLOB_SAFER_SK128 = 1; $ActinicDiffie::BLOB_PRIME_128_1 = 0; $ActinicDiffie::g_nPrime = '+46779512018758372353420000348743236593'; $ActinicDiffie::g_nBase = '+5'; $ActinicDiffie::g_nPublicKey = '+0'; $ActinicDiffie::KEY_LENGTH_256 = 32; $ActinicDiffie::KEY_LENGTH_128 = 16; BEGIN {} END {} $ActinicDiffie::zero = 0; sub bnorm { #(num_str) return num_str local($_) = @_; s/\s+//g; if (s/^([+-]?)0*(\d+)$/$1$2/) { substr($_,$[,0) = '+' unless $1; s/^-0/+0/; $_; } else { 'NaN'; } } sub internal { #(num_str) return int_num_array local($d) = @_; ($is,$il) = (substr($d,$[,1),length($d)-2); substr($d,$[,1) = ''; ($is, reverse(unpack("a" . ($il%5+1) . ("a5" x ($il/5)), $d))); } sub external { #(int_num_array) return num_str $es = shift; grep($_ > 9999 || ($_ = substr('0000'.$_,-5)), @_); &bnorm(join('', $es, reverse(@_))); } sub bneg { #(num_str) return num_str local($_) = &bnorm(@_); vec($_,0,8) ^= ord('+') ^ ord('-') unless $_ eq '+0'; s/^H/N/; $_; } sub babs { #(num_str) return num_str &abs(&bnorm(@_)); } sub abs { # post-normalized abs for internal use local($_) = @_; s/^-/+/; $_; } sub bcmp { #(num_str, num_str) return cond_code local($x,$y) = (&bnorm($_[$[]),&bnorm($_[$[+1])); if ($x eq 'NaN') { undef; } elsif ($y eq 'NaN') { undef; } else { &cmp($x,$y); } } sub cmp { # post-normalized compare for internal use local($cx, $cy) = @_; return 0 if ($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 $cx; } } sub badd { #(num_str, num_str) return num_str local(*x, *y); ($x, $y) = (&bnorm($_[$[]),&bnorm($_[$[+1])); if ($x eq 'NaN') { 'NaN'; } elsif ($y eq 'NaN') { 'NaN'; } else { @x = &internal($x); @y = &internal($y); local($sx, $sy) = (shift @x, shift @y); if ($sx eq $sy) { &external($sx, &add(*x, *y)); } else { ($x, $y) = (&abs($x),&abs($y)); if (&cmp($y,$x) > 0) { &external($sy, &sub(*y, *x)); } else { &external($sx, &sub(*x, *y)); } } } } sub bsub { #(num_str, num_str) return num_str &badd($_[$[],&bneg($_[$[+1])); } sub bgcd { #(num_str, num_str) return num_str local($x,$y) = (&bnorm($_[$[]),&bnorm($_[$[+1])); if ($x eq 'NaN' || $y eq 'NaN') { 'NaN'; } else { ($x, $y) = ($y,&bmod($x,$y)) while $y ne '+0'; $x; } } sub add { #(int_num_array, int_num_array) return int_num_array local(*x, *y) = @_; $car = 0; for $x (@x) { last unless @y || $car; $x -= 1e5 if $car = (($x += shift(@y) + $car) >= 1e5); } for $y (@y) { last unless $car; $y -= 1e5 if $car = (($y += $car) >= 1e5); } (@x, @y, $car); } sub sub { #(int_num_array, int_num_array) return int_num_array local(*sx, *sy) = @_; $bar = 0; for $sx (@sx) { last unless @y || $bar; $sx += 1e5 if $bar = (($sx -= shift(@sy) + $bar) < 0); } @sx; } sub bmul { #(num_str, num_str) return num_str local(*x, *y); ($x, $y) = (&bnorm($_[$[]), &bnorm($_[$[+1])); if ($x eq 'NaN') { 'NaN'; } elsif ($y eq 'NaN') { 'NaN'; } else { @x = &internal($x); @y = &internal($y); local($signr) = (shift @x ne shift @y) ? '-' : '+'; @prod = (); for $x (@x) { ($car, $cty) = (0, $[); for $y (@y) { $prod = $x * $y + $prod[$cty] + $car; $prod[$cty++] = $prod - ($car = int($prod * 1e-5)) * 1e5; } $prod[$cty] += $car if $car; $x = shift @prod; } &external($signr, @x, @prod); } } sub bmod { #(num_str, num_str) return num_str (&bdiv(@_))[$[+1]; } sub bdiv { #(dividend: num_str, divisor: num_str) return num_str local (*x, *y); ($x, $y) = (&bnorm($_[$[]), &bnorm($_[$[+1])); return wantarray ? ('NaN','NaN') : 'NaN' if ($x eq 'NaN' || $y eq 'NaN' || $y eq '+0'); return wantarray ? ('+0',$x) : '+0' if (&cmp(&abs($x),&abs($y)) < 0); @x = &internal($x); @y = &internal($y); $srem = $y[$[]; $sr = (shift @x ne shift @y) ? '-' : '+'; $car = $bar = $prd = 0; if (($dd = int(1e5/($y[$#y]+1))) != 1) { for $x (@x) { $x = $x * $dd + $car; $x -= ($car = int($x * 1e-5)) * 1e5; } push(@x, $car); $car = 0; for $y (@y) { $y = $y * $dd + $car; $y -= ($car = int($y * 1e-5)) * 1e5; } } else { push(@x, 0); } @q = (); ($v2,$v1) = @y[-2,-1]; while ($#x > $#y) { ($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; $prd -= ($car = int($prd * 1e-5)) * 1e5; $x[$x] += 1e5 if ($bar = (($x[$x] -= $prd + $bar) < 0)); } if ($x[$#x] < $car + $bar) { $car = 0; --$q; for ($y = $[, $x = $#x-$#y+$[-1; $y <= $#y; ++$y,++$x) { $x[$x] -= 1e5 if ($car = (($x[$x] += $y[$y] + $car) > 1e5)); } } } pop(@x); unshift(@q, $q); } if (wantarray) { @d = (); if ($dd != 1) { $car = 0; for $x (reverse @x) { $prd = $car * 1e5 + $x; $car = $prd - ($tmp = int($prd / $dd)) * $dd; unshift(@d, $tmp); } } else { @d = @x; } (&external($sr, @q), &external($srem, @d, $zero)); } else { &external($sr, @q); } } sub ModPow { my ($nValue, $nPower, $nModulo) = @_; my $nSquare = $nValue; my $nResult = '+1'; if ($nPower <= 0) { return('+1'); } while ($nPower ne '+0') { if ($nPower =~ /([13579])$/) { if ($nResult eq '+1') { $nResult = $nSquare; } else { $nResult = &bmod(&bmul($nResult, $nSquare), $nModulo); } } $nSquare = &bmod(&bmul($nSquare, $nSquare), $nModulo); $nPower = &bdiv($nPower, '+2'); } return($nResult); } sub AsBytes { my $nNumber = shift; my (@bResult, $nPos); for ($nPos = 0; $nPos < 16; $nPos++) { $bResult[$nPos] = bmod($nNumber, '256'); $nNumber = bdiv($nNumber, '256'); } return(@bResult); } sub AsHex { my $nNumber = shift; my (@bytes, $nPos, $sOutput); $sOutput = ""; @bytes = ActinicDiffie::AsBytes($nNumber); for ($nPos = $#bytes; $nPos >= 0; $nPos--) { $sOutput = $sOutput . sprintf "%02x", $bytes[$nPos]; } return($sOutput); } sub FromBytes { my $nRetVal = &bnorm($_[$#_]); my $i; for ($i = $#_ - 1; $i >= 0; $i--) { $nRetVal = badd(bmul($nRetVal, '256'), $_[$i]); } return($nRetVal); } sub InitDiffie { my $nPos; $ActinicDiffie::g_nPublicKey = '+0'; for ($nPos = $#_; $nPos >= 0; $nPos--) { $ActinicDiffie::g_nPublicKey = badd(bmul($ActinicDiffie::g_nPublicKey, 256), $_[$nPos]); } } 1;