forked from dolphin-emu/dolphin
		
	The loops relied on unsigned integer overflow, which is not immediately obvious. Replace them with less clever variants that are clearer. Also implement bn_compare using std::memcmp.
		
			
				
	
	
		
			99 lines
		
	
	
		
			1.8 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			99 lines
		
	
	
		
			1.8 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
// Copyright 2007,2008  Segher Boessenkool  <segher@kernel.crashing.org>
 | 
						|
// Licensed under the terms of the GNU GPL, version 2
 | 
						|
// http://www.gnu.org/licenses/old-licenses/gpl-2.0.txt
 | 
						|
 | 
						|
#include <cstdio>
 | 
						|
#include <cstring>
 | 
						|
 | 
						|
#include "Common/CommonTypes.h"
 | 
						|
#include "Common/Crypto/bn.h"
 | 
						|
 | 
						|
static void bn_zero(u8* d, int n)
 | 
						|
{
 | 
						|
  std::memset(d, 0, n);
 | 
						|
}
 | 
						|
 | 
						|
static void bn_copy(u8* d, const u8* a, int n)
 | 
						|
{
 | 
						|
  std::memcpy(d, a, n);
 | 
						|
}
 | 
						|
 | 
						|
int bn_compare(const u8* a, const u8* b, int n)
 | 
						|
{
 | 
						|
  return std::memcmp(a, b, n);
 | 
						|
}
 | 
						|
 | 
						|
void bn_sub_modulus(u8* a, const u8* N, int n)
 | 
						|
{
 | 
						|
  u8 c = 0;
 | 
						|
  for (int i = n - 1; i >= 0; --i)
 | 
						|
  {
 | 
						|
    u32 dig = N[i] + c;
 | 
						|
    c = (a[i] < dig);
 | 
						|
    a[i] -= dig;
 | 
						|
  }
 | 
						|
}
 | 
						|
 | 
						|
void bn_add(u8* d, const u8* a, const u8* b, const u8* N, int n)
 | 
						|
{
 | 
						|
  u8 c = 0;
 | 
						|
  for (int i = n - 1; i >= 0; --i)
 | 
						|
  {
 | 
						|
    u32 dig = a[i] + b[i] + c;
 | 
						|
    c = (dig >= 0x100);
 | 
						|
    d[i] = dig;
 | 
						|
  }
 | 
						|
 | 
						|
  if (c)
 | 
						|
    bn_sub_modulus(d, N, n);
 | 
						|
 | 
						|
  if (bn_compare(d, N, n) >= 0)
 | 
						|
    bn_sub_modulus(d, N, n);
 | 
						|
}
 | 
						|
 | 
						|
void bn_mul(u8* d, const u8* a, const u8* b, const u8* N, int n)
 | 
						|
{
 | 
						|
  bn_zero(d, n);
 | 
						|
 | 
						|
  for (int i = 0; i < n; i++)
 | 
						|
  {
 | 
						|
    for (u8 mask = 0x80; mask != 0; mask >>= 1)
 | 
						|
    {
 | 
						|
      bn_add(d, d, d, N, n);
 | 
						|
      if ((a[i] & mask) != 0)
 | 
						|
        bn_add(d, d, b, N, n);
 | 
						|
    }
 | 
						|
  }
 | 
						|
}
 | 
						|
 | 
						|
void bn_exp(u8* d, const u8* a, const u8* N, int n, const u8* e, int en)
 | 
						|
{
 | 
						|
  u8 t[512];
 | 
						|
 | 
						|
  bn_zero(d, n);
 | 
						|
  d[n - 1] = 1;
 | 
						|
  for (int i = 0; i < en; i++)
 | 
						|
  {
 | 
						|
    for (u8 mask = 0x80; mask != 0; mask >>= 1)
 | 
						|
    {
 | 
						|
      bn_mul(t, d, d, N, n);
 | 
						|
      if ((e[i] & mask) != 0)
 | 
						|
        bn_mul(d, t, a, N, n);
 | 
						|
      else
 | 
						|
        bn_copy(d, t, n);
 | 
						|
    }
 | 
						|
  }
 | 
						|
}
 | 
						|
 | 
						|
// only for prime N -- stupid but lazy, see if I care
 | 
						|
void bn_inv(u8* d, const u8* a, const u8* N, int n)
 | 
						|
{
 | 
						|
  u8 t[512], s[512];
 | 
						|
 | 
						|
  bn_copy(t, N, n);
 | 
						|
  bn_zero(s, n);
 | 
						|
  s[n - 1] = 2;
 | 
						|
  bn_sub_modulus(t, s, n);
 | 
						|
  bn_exp(d, a, N, n, t, n);
 | 
						|
}
 |