includes/diffiehellman.php
changeset 436 242353360e37
child 467 e4bbd6fb8df3
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/includes/diffiehellman.php	Wed Feb 20 14:38:39 2008 -0500
@@ -0,0 +1,450 @@
+<?php
+
+/*
+ * Enano - an open-source CMS capable of wiki functions, Drupal-like sidebar blocks, and everything in between
+ * Version 1.1.2 (Caoineag alpha 2)
+ * Copyright (C) 2006-2007 Dan Fuhry
+ * diffiehellman.php - Diffie Hellman key exchange and supporting functions
+ *
+ * This program is Free Software; you can redistribute and/or modify it under the terms of the GNU General Public License
+ * as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied
+ * warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for details.
+ */
+
+/**
+ * Class to handle math operations that require the use of >32-bit integers.
+ */
+
+class EnanoMath
+{
+  
+  var $api = 'gmp';
+  var $limb = 16;
+  
+  function __construct()
+  {
+    /*
+    // big_int support is untested.
+    if ( extension_loaded('big_int') )
+    {
+      $this->api = 'bigint';
+    }
+    else
+    */
+    if ( function_exists('gmp_init') )
+    {
+      $this->api = 'gmp';
+    }
+    else if ( function_exists('bcpow') )
+    {
+      $this->api = 'bcmath';
+    }
+    else
+    {
+      throw new Exception('dh_err_not_supported');
+    }
+  }
+  
+  function powmod($base, $pow, $mod)
+  {
+    switch($this->api)
+    {
+      case 'bigint':
+        return ( pow($base, $pow) % $mod );
+        break;
+      case 'gmp':
+        return ( function_exists('gmp_powm') ) ? gmp_powm($base, $pow, $mod) : gmp_mod(gmp_pow($base, $pow), $mod);
+        break;
+      case 'bcmath':
+        return ( function_exists('bcpowmod') ) ? bcpowmod($base, $pow, $mod) : bcmod( bcpow($base, $pow), $mod );
+        break;
+    }
+  }
+  
+  function random($len)
+  {
+    switch($this->api)
+    {
+      case 'gmp':
+        return gmp_random($len);
+        break;
+      case 'bcmath':
+        return $this->_bcmath_random($len);
+        break;
+      case 'bigint':
+        return $this->_bigint_random($len);
+        break;
+    }
+  }
+  
+  function _bcmath_random($len)
+  {
+    $len = ( $this->limb / 2 ) * $len;
+    $chars = '0123456789abcdef';
+    $ret = '';
+    for ( $i = 0; $i < $len; $i++ )
+    {
+      $chid = mt_rand ( 0, strlen($chars) - 1 );
+      $chr = $chars{$chid};
+      $ret .= $chr;
+    }
+    return $this->basecon($ret, 16, 10);
+  }
+  
+  function _bigint_random($len)
+  {
+    $len = ( $this->limb / 2 ) * $len;
+    $chars = '0123456789abcdef';
+    $ret = '';
+    for ( $i = 0; $i < $len; $i++ )
+    {
+      $chid = mt_rand ( 0, strlen($chars) - 1 );
+      $chr = $chars{$chid};
+      $ret .= $chr;
+    }
+    return $this->basecon($ret, 16, 10);
+  }
+  
+  function basecon($int, $from, $to)
+  {
+    switch($this->api)
+    {
+      case 'gmp':
+        return gmp_strval(gmp_init($int, $from), $to);
+        break;
+      case 'bcmath':
+        return $this->_bcmath_baseconv($int, $from, $to);
+        break;
+      case 'bigint':
+        return base_convert($int, $from, $to);
+        break;
+    }
+  }
+  
+  function str($res, $base = 10)
+  {
+    switch($this->api)
+    {
+      case 'bigint':
+      case 'bcmath':
+        return strval($this->basecon($res, 10, $base));
+        break;
+      case 'gmp':
+        return gmp_strval($res, $base);
+        break;
+    }
+  }
+  
+  function compare($v1, $v2)
+  {
+    switch($this->api)
+    {
+      case 'bigint':
+        return ( $v1 === $v2 );
+        break;
+      case 'bcmath':
+        return ( bccomp($v1, $v2) === 0 );
+        break;
+      case 'gmp':
+        return ( gmp_cmp($v1, $v2) === 0 );
+        break;
+    }
+  }
+  
+  function _bcmath_baseconv($int, $from, $to)
+  {
+    if ( $from != 10 )
+      $int = $this->_bcmath_base2dec($int, $from);
+    if ( $to != 10 )
+      $int = $this->_bcmath_dec2base($int, $to);
+    return $int;
+  }
+  
+  // from us.php.net/bc:
+  // convert a decimal value to any other base value
+  function _bcmath_dec2base($dec,$base,$digits=FALSE) {
+      if($base<2 or $base>256) die("Invalid Base: ".$base);
+      bcscale(0);
+      $value="";
+      if(!$digits) $digits=$this->_bcmath_digits($base);
+      while($dec>$base-1) {
+          $rest=bcmod($dec,$base);
+          $dec=bcdiv($dec,$base);
+          $value=$digits[$rest].$value;
+      }
+      $value=$digits[intval($dec)].$value;
+      return (string) $value;
+  }
+  
+  // convert another base value to its decimal value
+  function _bcmath_base2dec($value,$base,$digits=FALSE) {
+      if($base<2 or $base>256) die("Invalid Base: ".$base);
+      bcscale(0);
+      if($base<37) $value=strtolower($value);
+      if(!$digits) $digits=$this->_bcmath_digits($base);
+      $size=strlen($value);
+      $dec="0";
+      for($loop=0;$loop<$size;$loop++) {
+          $element=strpos($digits,$value[$loop]);
+          $power=bcpow($base,$size-$loop-1);
+          $dec=bcadd($dec,bcmul($element,$power));
+      }
+      return (string) $dec;
+  }
+  
+  function _bcmath_digits($base) {
+      if($base>64) {
+          $digits="";
+          for($loop=0;$loop<256;$loop++) {
+              $digits.=chr($loop);
+          }
+      } else {
+          $digits ="0123456789abcdefghijklmnopqrstuvwxyz";
+          $digits.="ABCDEFGHIJKLMNOPQRSTUVWXYZ-_";
+      }
+      $digits=substr($digits,0,$base);
+      return (string) $digits;
+  }
+}
+
+/**
+ * The Diffie-Hellman key exchange protocol
+ */
+
+$GLOBALS['_math'] = new EnanoMath();
+// Our prime number as a base for operations.
+$GLOBALS['dh_prime'] = '82818079787776757473727170696867666564636261605958575655545352515049484746454443424140393837363534333231302928272625242322212019181716151413121110987654321';
+
+// g, a primitive root used as an exponent
+// (2 and 5 are acceptable, but BigInt is faster with odd numbers)
+$GLOBALS['dh_g'] = '5';
+
+/**
+ * Generates a Diffie-Hellman private key
+ * @return string(BigInt)
+ */
+
+function dh_gen_private()
+{
+  global $_math;
+  return $_math->random(256);
+}
+
+/**
+ * Calculates the public key from the private key
+ * @param string(BigInt)
+ * @return string(BigInt)
+ */
+
+function dh_gen_public($b)
+{
+  global $_math, $dh_g, $dh_prime;
+  return $_math->powmod($dh_g, $b, $dh_prime);
+}
+
+/**
+ * Calculates the shared secret.
+ * @param string(BigInt) Our private key
+ * @param string(BigInt) Remote party's public key
+ * @return string(BigInt)
+ */
+
+function dh_gen_shared_secret($a, $B)
+{
+  global $_math, $dh_g, $dh_prime;
+  return $_math->powmod($B, $a, $dh_prime);
+}
+
+/*
+SHA-256 algorithm - ported from Javascript
+
+Copyright (c) 2003-2004, Angel Marin
+All rights reserved.
+Portions copyright (c) 2008 Dan Fuhry.
+
+Redistribution and use in source and binary forms, with or without modification,
+are permitted provided that the following conditions are met:
+
+ * Redistributions of source code must retain the above copyright notice, this
+   list of conditions and the following disclaimer.
+ * Redistributions in binary form must reproduce the above copyright notice,
+   this list of conditions and the following disclaimer in the documentation
+   and/or other materials provided with the distribution.
+ * Neither the name of the <ORGANIZATION> nor the names of its contributors may
+   be used to endorse or promote products derived from this software without
+   specific prior written permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
+ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
+IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT,
+INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING,
+BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
+DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
+OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+OF THE POSSIBILITY OF SUCH DAMAGE.
+*/
+class SHA256
+{
+  var $chrsz = 8;  /* bits per input character. 8 - ASCII; 16 - Unicode  */
+  
+  function safe_add ($x, $y) {
+    $lsw = ($x & 0xFFFF) + ($y & 0xFFFF);
+    $msw = ($x >> 16) + ($y >> 16) + ($lsw >> 16);
+    return ($msw << 16) | ($lsw & 0xFFFF);
+  }
+  function rshz($X, $n)
+  {
+    // equivalent to $X >>> $n in javascript
+    // pulled from http://www.tapouillo.com/firefox_extension/sourcecode.txt, public domain
+    $z = hexdec(80000000); 
+    if ($z & $X) 
+    { 
+        $X = ($X>>1); 
+        $X &= (~$z); 
+        $X |= 0x40000000; 
+        $X = ($X>>($n-1)); 
+    } 
+    else 
+    { 
+        $X = ($X>>$n); 
+    } 
+    return $X; 
+  }
+  function S ($X, $n) {return ( $this->rshz($X, $n) ) | ($X << (32 - $n));}
+  function R ($X, $n) {return ( $this->rshz($X, $n) );}
+  function Ch($x, $y, $z)  {return (($x & $y) ^ ((~$x) & $z));}
+  function Maj($x, $y, $z) {return (($x & $y) ^ ($x & $z) ^ ($y & $z));}
+  function Sigma0256($x) {return ($this->S($x, 2)  ^ $this->S($x, 13) ^ $this->S($x, 22));}
+  function Sigma1256($x) {return ($this->S($x, 6)  ^ $this->S($x, 11) ^ $this->S($x, 25));}
+  function Gamma0256($x) {return ($this->S($x, 7)  ^ $this->S($x, 18) ^ $this->R($x, 3));}
+  function Gamma1256($x) {return ($this->S($x, 17) ^ $this->S($x, 19) ^ $this->R($x, 10));}
+  function core_sha256 ($m, $l) {
+      $K = Array(0x428A2F98,0x71374491,0xB5C0FBCF,0xE9B5DBA5,0x3956C25B,0x59F111F1,0x923F82A4,0xAB1C5ED5,0xD807AA98,0x12835B01,0x243185BE,0x550C7DC3,0x72BE5D74,0x80DEB1FE,0x9BDC06A7,0xC19BF174,0xE49B69C1,0xEFBE4786,0xFC19DC6,0x240CA1CC,0x2DE92C6F,0x4A7484AA,0x5CB0A9DC,0x76F988DA,0x983E5152,0xA831C66D,0xB00327C8,0xBF597FC7,0xC6E00BF3,0xD5A79147,0x6CA6351,0x14292967,0x27B70A85,0x2E1B2138,0x4D2C6DFC,0x53380D13,0x650A7354,0x766A0ABB,0x81C2C92E,0x92722C85,0xA2BFE8A1,0xA81A664B,0xC24B8B70,0xC76C51A3,0xD192E819,0xD6990624,0xF40E3585,0x106AA070,0x19A4C116,0x1E376C08,0x2748774C,0x34B0BCB5,0x391C0CB3,0x4ED8AA4A,0x5B9CCA4F,0x682E6FF3,0x748F82EE,0x78A5636F,0x84C87814,0x8CC70208,0x90BEFFFA,0xA4506CEB,0xBEF9A3F7,0xC67178F2);
+      $HASH = Array(0x6A09E667, 0xBB67AE85, 0x3C6EF372, 0xA54FF53A, 0x510E527F, 0x9B05688C, 0x1F83D9AB, 0x5BE0CD19);
+      $W = Array(64);
+      /* append padding */
+      $m[$l >> 5] |= 0x80 << (24 - $l % 32);
+      $m[(($l + 64 >> 9) << 4) + 15] = $l;
+      for ( $i = 0; $i<count($m); $i+=16 ) {
+          $a = $HASH[0];
+          $b = $HASH[1];
+          $c = $HASH[2];
+          $d = $HASH[3];
+          $e = $HASH[4];
+          $f = $HASH[5];
+          $g = $HASH[6];
+          $h = $HASH[7];
+          for ( $j = 0; $j<64; $j++)
+          {
+              if ( $j < 16 )
+              {
+                $W[$j] = ( isset($m[$j + $i]) ) ? $m[$j + $i] : 0;
+              }
+              else
+              {
+                $W[$j] = $this->safe_add(
+                  $this->safe_add(
+                    $this->safe_add(
+                      $this->Gamma1256($W[$j - 2]), $W[$j - 7]),
+                    $this->Gamma0256($W[$j - 15])),
+                  $W[$j - 16]);
+              }
+              $T1 = $this->safe_add(
+                $this->safe_add(
+                  $this->safe_add(
+                    $this->safe_add($h, $this->Sigma1256($e)
+                      ),
+                    $this->Ch($e, $f, $g)),
+                  $K[$j]),
+                $W[$j]);
+              $T2 = $this->safe_add($this->Sigma0256($a), $this->Maj($a, $b, $c));
+              $h = $g;
+              $g = $f;
+              $f = $e;
+              $e = $this->safe_add($d, $T1);
+              $d = $c;
+              $c = $b;
+              $b = $a;
+              $a = $this->safe_add($T1, $T2);
+          }
+          $HASH[0] = $this->safe_add($a, $HASH[0]);
+          $HASH[1] = $this->safe_add($b, $HASH[1]);
+          $HASH[2] = $this->safe_add($c, $HASH[2]);
+          $HASH[3] = $this->safe_add($d, $HASH[3]);
+          $HASH[4] = $this->safe_add($e, $HASH[4]);
+          $HASH[5] = $this->safe_add($f, $HASH[5]);
+          $HASH[6] = $this->safe_add($g, $HASH[6]);
+          $HASH[7] = $this->safe_add($h, $HASH[7]);
+      }
+      return $HASH;
+  }
+  function str2binb ($str) {
+    $bin = Array();
+    for ( $i = 0; $i < strlen($str); $i++ )
+    {
+      $byte = ord($str{$i});
+      $block = floor($i / 4);
+      $stage = $i % 4;
+      if ( $stage == 0 )
+      {
+        $bin[$block] = $byte;
+      }
+      else
+      {
+        $bin[$block] <<= 8;
+        $bin[$block] |= $byte;
+      }
+    }
+    while ( $stage < 3 )
+    {
+      $stage++;
+      $bin[$block] <<= 8;
+    }
+    return $bin;
+  }
+  function byte2hex($byte)
+  {
+    $b = dechex(ord($byte));
+    return ( strlen($b) < 2 ) ? "0$b" : $b;
+  }
+  function binb2hex ($binarray) {
+    $hexcase = 0; /* hex output format. 0 - lowercase; 1 - uppercase */
+    $hex_tab = $hexcase ? "0123456789ABCDEF" : "0123456789abcdef";
+    $str = "";
+    foreach ( $binarray as $bytes )
+    {
+      $str .= implode('', array(
+          $this->byte2hex(chr(( $bytes >> 24 ) & 0xFF)),
+          $this->byte2hex(chr(( $bytes >> 16 ) & 0xFF)),
+          $this->byte2hex(chr(( $bytes >> 8 ) & 0xFF)),
+          $this->byte2hex(chr($bytes & 0xFF))
+        ));
+    }
+    return $str;
+  }
+  function hex_sha256 ( $s )
+  {
+    return $this->binb2hex(
+      $this->core_sha256(
+        $this->str2binb($s),
+        strlen($s) * $this->chrsz)
+      );
+  }
+}
+
+if ( !function_exists('sha256') )
+{
+  function sha256($text)
+  {
+    static $sha_obj = false;
+    if ( !is_object($sha_obj) )
+      $sha_obj = new SHA256();
+    return $sha_obj->hex_sha256($text);
+  }
+}
+
+?>