1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
|
/* Tune the Karatsuba parameters
*
* Tom St Denis, tomstdenis@iahu.ca
*/
#include <tommath.h>
#include <time.h>
/* how many times todo each size mult. Depends on your computer. For slow computers
* this can be low like 5 or 10. For fast [re: Athlon] should be 25 - 50 or so
*/
#define TIMES (1UL<<14UL)
#ifndef X86_TIMER
/* generic ISO C timer */
ulong64 LBL_T;
void t_start(void) { LBL_T = clock(); }
ulong64 t_read(void) { return clock() - LBL_T; }
#else
extern void t_start(void);
extern ulong64 t_read(void);
#endif
ulong64 time_mult(int size, int s)
{
unsigned long x;
mp_int a, b, c;
ulong64 t1;
mp_init (&a);
mp_init (&b);
mp_init (&c);
mp_rand (&a, size);
mp_rand (&b, size);
if (s == 1) {
KARATSUBA_MUL_CUTOFF = size;
} else {
KARATSUBA_MUL_CUTOFF = 100000;
}
t_start();
for (x = 0; x < TIMES; x++) {
mp_mul(&a,&b,&c);
}
t1 = t_read();
mp_clear (&a);
mp_clear (&b);
mp_clear (&c);
return t1;
}
ulong64 time_sqr(int size, int s)
{
unsigned long x;
mp_int a, b;
ulong64 t1;
mp_init (&a);
mp_init (&b);
mp_rand (&a, size);
if (s == 1) {
KARATSUBA_SQR_CUTOFF = size;
} else {
KARATSUBA_SQR_CUTOFF = 100000;
}
t_start();
for (x = 0; x < TIMES; x++) {
mp_sqr(&a,&b);
}
t1 = t_read();
mp_clear (&a);
mp_clear (&b);
return t1;
}
int
main (void)
{
ulong64 t1, t2;
int x, y;
for (x = 8; ; x += 2) {
t1 = time_mult(x, 0);
t2 = time_mult(x, 1);
printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1);
if (t2 < t1) break;
}
y = x;
for (x = 8; ; x += 2) {
t1 = time_sqr(x, 0);
t2 = time_sqr(x, 1);
printf("%d: %9llu %9llu, %9llu\n", x, t1, t2, t2 - t1);
if (t2 < t1) break;
}
printf("KARATSUBA_MUL_CUTOFF = %d\n", y);
printf("KARATSUBA_SQR_CUTOFF = %d\n", x);
return 0;
}
|