2003-02-28 16:08:34 +00:00
|
|
|
/* Tune the Karatsuba parameters
|
|
|
|
*
|
|
|
|
* Tom St Denis, tomstdenis@iahu.ca
|
|
|
|
*/
|
|
|
|
#include <tommath.h>
|
|
|
|
#include <time.h>
|
|
|
|
|
2003-05-17 12:33:54 +00:00
|
|
|
#ifndef X86_TIMER
|
|
|
|
|
|
|
|
/* generic ISO C timer */
|
|
|
|
unsigned long long __T;
|
|
|
|
void t_start(void) { __T = clock(); }
|
|
|
|
unsigned long long t_read(void) { return clock() - __T; }
|
|
|
|
|
|
|
|
#else
|
|
|
|
extern void t_start(void);
|
|
|
|
extern unsigned long long t_read(void);
|
|
|
|
#endif
|
|
|
|
|
|
|
|
unsigned long long
|
2003-02-28 16:08:34 +00:00
|
|
|
time_mult (void)
|
|
|
|
{
|
2003-03-13 02:11:11 +00:00
|
|
|
int x, y;
|
|
|
|
mp_int a, b, c;
|
2003-02-28 16:08:34 +00:00
|
|
|
|
|
|
|
mp_init (&a);
|
|
|
|
mp_init (&b);
|
|
|
|
mp_init (&c);
|
|
|
|
|
2003-05-17 12:33:54 +00:00
|
|
|
t_start();
|
|
|
|
for (x = 32; x <= 288; x += 4) {
|
2003-03-13 02:11:11 +00:00
|
|
|
mp_rand (&a, x);
|
|
|
|
mp_rand (&b, x);
|
2003-05-17 12:33:54 +00:00
|
|
|
for (y = 0; y < 100; y++) {
|
2003-02-28 16:08:34 +00:00
|
|
|
mp_mul (&a, &b, &c);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
mp_clear (&a);
|
|
|
|
mp_clear (&b);
|
|
|
|
mp_clear (&c);
|
2003-05-17 12:33:54 +00:00
|
|
|
return t_read();
|
2003-02-28 16:08:34 +00:00
|
|
|
}
|
|
|
|
|
2003-05-17 12:33:54 +00:00
|
|
|
unsigned long long
|
2003-02-28 16:08:34 +00:00
|
|
|
time_sqr (void)
|
|
|
|
{
|
2003-03-13 02:11:11 +00:00
|
|
|
int x, y;
|
|
|
|
mp_int a, b;
|
2003-02-28 16:08:34 +00:00
|
|
|
|
|
|
|
mp_init (&a);
|
|
|
|
mp_init (&b);
|
|
|
|
|
2003-05-17 12:33:54 +00:00
|
|
|
t_start();
|
|
|
|
for (x = 32; x <= 288; x += 4) {
|
2003-03-13 02:11:11 +00:00
|
|
|
mp_rand (&a, x);
|
2003-05-17 12:33:54 +00:00
|
|
|
for (y = 0; y < 100; y++) {
|
2003-02-28 16:08:34 +00:00
|
|
|
mp_sqr (&a, &b);
|
|
|
|
}
|
|
|
|
}
|
|
|
|
mp_clear (&a);
|
|
|
|
mp_clear (&b);
|
2003-05-17 12:33:54 +00:00
|
|
|
return t_read();
|
2003-03-13 02:11:11 +00:00
|
|
|
}
|
|
|
|
|
2003-02-28 16:08:34 +00:00
|
|
|
int
|
|
|
|
main (void)
|
|
|
|
{
|
2003-05-17 12:33:54 +00:00
|
|
|
int best_mult, best_square;
|
|
|
|
unsigned long long best, ti;
|
2003-03-13 02:11:11 +00:00
|
|
|
FILE *log;
|
2003-02-28 16:08:34 +00:00
|
|
|
|
2003-05-17 12:33:54 +00:00
|
|
|
best_mult = best_square = 0;
|
2003-02-28 16:08:34 +00:00
|
|
|
/* tune multiplication first */
|
2003-03-13 02:11:11 +00:00
|
|
|
log = fopen ("mult.log", "w");
|
2003-05-17 12:33:54 +00:00
|
|
|
best = -1;
|
|
|
|
for (KARATSUBA_MUL_CUTOFF = 8; KARATSUBA_MUL_CUTOFF <= 200; KARATSUBA_MUL_CUTOFF++) {
|
2003-02-28 16:08:34 +00:00
|
|
|
ti = time_mult ();
|
2003-05-17 12:33:54 +00:00
|
|
|
printf ("%4d : %9llu\r", KARATSUBA_MUL_CUTOFF, ti);
|
|
|
|
fprintf (log, "%d, %llu\n", KARATSUBA_MUL_CUTOFF, ti);
|
2003-02-28 16:08:34 +00:00
|
|
|
fflush (stdout);
|
|
|
|
if (ti < best) {
|
2003-05-17 12:33:54 +00:00
|
|
|
printf ("New best: %llu, %d \n", ti, KARATSUBA_MUL_CUTOFF);
|
2003-02-28 16:08:34 +00:00
|
|
|
best = ti;
|
|
|
|
best_mult = KARATSUBA_MUL_CUTOFF;
|
|
|
|
}
|
|
|
|
}
|
2003-03-13 02:11:11 +00:00
|
|
|
fclose (log);
|
2003-02-28 16:08:34 +00:00
|
|
|
/* tune squaring */
|
2003-03-13 02:11:11 +00:00
|
|
|
log = fopen ("sqr.log", "w");
|
2003-05-17 12:33:54 +00:00
|
|
|
best = -1;
|
|
|
|
for (KARATSUBA_SQR_CUTOFF = 8; KARATSUBA_SQR_CUTOFF <= 200; KARATSUBA_SQR_CUTOFF++) {
|
2003-02-28 16:08:34 +00:00
|
|
|
ti = time_sqr ();
|
2003-05-17 12:33:54 +00:00
|
|
|
printf ("%4d : %9llu\r", KARATSUBA_SQR_CUTOFF, ti);
|
|
|
|
fprintf (log, "%d, %llu\n", KARATSUBA_SQR_CUTOFF, ti);
|
2003-02-28 16:08:34 +00:00
|
|
|
fflush (stdout);
|
|
|
|
if (ti < best) {
|
2003-05-17 12:33:54 +00:00
|
|
|
printf ("New best: %llu, %d \n", ti, KARATSUBA_SQR_CUTOFF);
|
2003-02-28 16:08:34 +00:00
|
|
|
best = ti;
|
|
|
|
best_square = KARATSUBA_SQR_CUTOFF;
|
|
|
|
}
|
|
|
|
}
|
2003-03-13 02:11:11 +00:00
|
|
|
fclose (log);
|
|
|
|
|
2003-02-28 16:08:34 +00:00
|
|
|
printf
|
2003-05-17 12:33:54 +00:00
|
|
|
("\n\n\nKaratsuba Multiplier Cutoff: %d\nKaratsuba Squaring Cutoff: %d\n",
|
|
|
|
best_mult, best_square);
|
2003-02-28 16:08:34 +00:00
|
|
|
|
|
|
|
return 0;
|
|
|
|
}
|