*) Implement binary inversion algorithm for BN_mod_inverse in addition
to the algorithm using long divison. The binary algorithm can be
- used only if the modulus is odd. It is faster only for relatively
- small moduli (roughly 20% for 128-bit moduli, roughly 5% for 256-bit
- moduli), so we use it only for moduli up to 400 bits.
+ used only if the modulus is odd. On 32-bit systems, it is faster
+ only for relatively small moduli (roughly 20-30% for 128-bit moduli,
+ roughly 5-15% for 256-bit moduli), so we use it only for moduli
+ up to 450 bits. In 64-bit environments, the binary algorithm
+ appears to be advantageous for much longer moduli; here we use it
+ for moduli up to 2048 bits.
[Bodo Moeller]
*) Change bctest again: '-x' expressions are not available in all
* 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))