don't write beyond buffer
[oweals/openssl.git] / crypto / bn / bn_gcd.c
index 2c6fb2379a99328add8f52434e3c50efcd2d39d9..7649f63fd22ab2562d7cfe384fc39b5e379eeb2b 100644 (file)
@@ -244,17 +244,19 @@ BIGNUM *BN_mod_inverse(BIGNUM *in,
         *      sign*Y*a  ==  A   (mod |n|).
         */
 
-       if (BN_is_odd(n) && (BN_num_bits(n) <= 400))
+       if (BN_is_odd(n) && (BN_num_bits(n) <= (BN_BITS <= 32 ? 450 : 2048)))
                {
                /* Binary inversion algorithm; requires odd modulus.
                 * This is faster than the general algorithm if the modulus
-                * is sufficiently small. */
+                * is sufficiently small (about 400 .. 500 bits on 32-bit
+                * sytems, but much more on 64-bit systems) */
                int shift;
                
                while (!BN_is_zero(B))
                        {
                        /*
-                        *      0 < B < A <= |n|,
+                        *      0 < B < |n|,
+                        *      0 < A <= |n|,
                         * (1) -sign*X*a  ==  B   (mod |n|),
                         * (2)  sign*Y*a  ==  A   (mod |n|)
                         */
@@ -299,13 +301,16 @@ BIGNUM *BN_mod_inverse(BIGNUM *in,
                                }
 
                        
-                       /* We still have (1) and (2), but  A  may no longer be larger than  B.
+                       /* We still have (1) and (2).
                         * Both  A  and  B  are odd.
                         * The following computations ensure that
                         *
-                        *      0 =< B < A = |n|,
+                        *     0 <= B < |n|,
+                        *      0 < A < |n|,
                         * (1) -sign*X*a  ==  B   (mod |n|),
-                        * (2)  sign*Y*a  ==  A   (mod |n|)
+                        * (2)  sign*Y*a  ==  A   (mod |n|),
+                        *
+                        * and that either  A  or  B  is even in the next iteration.
                         */
                        if (BN_ucmp(B, A) >= 0)
                                {
@@ -326,7 +331,7 @@ BIGNUM *BN_mod_inverse(BIGNUM *in,
                }
        else
                {
-               /* general inversion algorithm (less efficient than binary inversion) */
+               /* general inversion algorithm */
 
                while (!BN_is_zero(B))
                        {