2003-02-28 16:08:34 +00:00
										 
									 
								 
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								/* Tune the Karatsuba parameters
							 | 
						
					
						
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								 *
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											2016-02-03 13:07:27 -05:00
										 
									 
								 
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								 * Tom St Denis, tstdenis82@gmail.com
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											2003-02-28 16:08:34 +00:00
										 
									 
								 
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								 */
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								#include <tommath.h>
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											2016-02-03 13:07:27 -05:00
										 
									 
								 
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								#include <stdint.h>
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											2003-02-28 16:08:34 +00:00
										 
									 
								 
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											2003-06-06 19:35:48 +00:00
										 
									 
								 
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								/* how many times todo each size mult.  Depends on your computer.  For slow computers
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											2014-09-02 02:14:38 +02:00
										 
									 
								 
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								 * this can be low like 5 or 10.  For fast [re: Athlon] should be 25 - 50 or so
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											2003-06-06 19:35:48 +00:00
										 
									 
								 
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								 */
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											2004-10-29 22:07:18 +00:00
										 
									 
								 
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								#define TIMES (1UL<<14UL)
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											2003-06-06 19:35:48 +00:00
										 
									 
								 
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											2014-09-28 13:12:10 +02:00
										 
									 
								 
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								#ifndef X86_TIMER
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											2005-02-12 08:40:15 +00:00
										 
									 
								 
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								/* RDTSC from Scott Duplichan */
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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								static uint64_t TIMFUNC(void)
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								{
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								#   if defined __GNUC__
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								#      if defined(__i386__) || defined(__x86_64__)
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								   /* version from http://www.mcs.anl.gov/~kazutomo/rdtsc.html
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								    * the old code always got a warning issued by gcc, clang did not complain...
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								    */
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								   unsigned hi, lo;
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								   __asm__ __volatile__("rdtsc" : "=a"(lo), "=d"(hi));
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								   return ((uint64_t)lo)|(((uint64_t)hi)<<32);
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								#      else /* gcc-IA64 version */
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								   unsigned long result;
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								   __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory");
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							 | 
							
							
								   while (__builtin_expect((int) result == -1, 0))
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							 | 
							
							
								      __asm__ __volatile__("mov %0=ar.itc" : "=r"(result) :: "memory");
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								   return result;
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								#      endif
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											2005-02-12 08:40:15 +00:00
										 
									 
								 
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								   // Microsoft and Intel Windows compilers
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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								#   elif defined _M_IX86
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							 | 
							
							
								   __asm rdtsc
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								#   elif defined _M_AMD64
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								   return __rdtsc();
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								#   elif defined _M_IA64
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								#      if defined __INTEL_COMPILER
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								#         include <ia64intrin.h>
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								#      endif
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								   return __getReg(3116);
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								#   else
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								#      error need rdtsc function for this build
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								#   endif
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								}
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											2005-02-12 08:40:15 +00:00
										 
									 
								 
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											2003-06-06 19:35:48 +00:00
										 
									 
								 
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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								/* *INDENT-OFF* */
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											2003-05-17 12:33:54 +00:00
										 
									 
								 
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								/* generic ISO C timer */
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											2018-02-01 22:28:43 +01:00
										 
									 
								 
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								static uint64_t LBL_T;
							 | 
						
					
						
							| 
								
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							 | 
							
							
								static void t_start(void) { LBL_T = TIMFUNC(); }
							 | 
						
					
						
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							 | 
							
								
							 | 
							
								
							 | 
							
							
								static uint64_t t_read(void) { return TIMFUNC() - LBL_T; }
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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								/* *INDENT-ON* */
							 | 
						
					
						
							
								
									
										
										
										
											2003-05-17 12:33:54 +00:00
										 
									 
								 
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							 | 
							
							
								#else
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							 | 
							
							
								extern void t_start(void);
							 | 
						
					
						
							
								
									
										
										
										
											2016-02-03 13:07:27 -05:00
										 
									 
								 
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							 | 
							
								
							 | 
							
							
								extern uint64_t t_read(void);
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											2003-05-17 12:33:54 +00:00
										 
									 
								 
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								#endif
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											2018-02-01 22:28:43 +01:00
										 
									 
								 
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								static uint64_t time_mult(int size, int s)
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											2003-02-28 16:08:34 +00:00
										 
									 
								 
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								{
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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							 | 
							
							
								   unsigned long     x;
							 | 
						
					
						
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							 | 
							
							
								   mp_int  a, b, c;
							 | 
						
					
						
							| 
								
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							 | 
							
							
								   uint64_t t1;
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											2003-02-28 16:08:34 +00:00
										 
									 
								 
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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							 | 
							
							
								   mp_init(&a);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   mp_init(&b);
							 | 
						
					
						
							| 
								
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							 | 
							
							
								   mp_init(&c);
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											2003-02-28 16:08:34 +00:00
										 
									 
								 
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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							 | 
							
							
								   mp_rand(&a, size);
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							| 
								
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							 | 
							
								
							 | 
							
							
								   mp_rand(&b, size);
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											2004-10-29 22:07:18 +00:00
										 
									 
								 
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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								   if (s == 1) {
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											2004-10-29 22:07:18 +00:00
										 
									 
								 
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							 | 
							
							
								      KARATSUBA_MUL_CUTOFF = size;
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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								   } else {
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											2004-10-29 22:07:18 +00:00
										 
									 
								 
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							 | 
							
							
								      KARATSUBA_MUL_CUTOFF = 100000;
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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								   }
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											2004-10-29 22:07:18 +00:00
										 
									 
								 
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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							 | 
							
							
								   t_start();
							 | 
						
					
						
							| 
								
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							 | 
							
							
								   for (x = 0; x < TIMES; x++) {
							 | 
						
					
						
							
								
									
										
										
										
											2004-10-29 22:07:18 +00:00
										 
									 
								 
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							 | 
							
								
							 | 
							
							
								      mp_mul(&a,&b,&c);
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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								   }
							 | 
						
					
						
							| 
								
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								   t1 = t_read();
							 | 
						
					
						
							| 
								
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							 | 
							
							
								   mp_clear(&a);
							 | 
						
					
						
							| 
								
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							 | 
							
							
								   mp_clear(&b);
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								   mp_clear(&c);
							 | 
						
					
						
							| 
								
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							 | 
							
							
								   return t1;
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											2003-02-28 16:08:34 +00:00
										 
									 
								 
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								}
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											2018-02-01 22:28:43 +01:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								static uint64_t time_sqr(int size, int s)
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
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								{
							 | 
						
					
						
							
								
									
										
										
										
											2017-10-18 10:44:06 +02:00
										 
									 
								 
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							 | 
							
								
							 | 
							
							
								   unsigned long     x;
							 | 
						
					
						
							| 
								
							 | 
							
								
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							 | 
							
							
								   mp_int  a, b;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   uint64_t t1;
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   mp_init(&a);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   mp_init(&b);
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
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							 | 
						
					
						
							
								
									
										
										
										
											2017-10-18 10:44:06 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   mp_rand(&a, size);
							 | 
						
					
						
							
								
									
										
										
										
											2004-10-29 22:07:18 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
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											2017-10-18 10:44:06 +02:00
										 
									 
								 
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							 | 
							
								
							 | 
							
							
								   if (s == 1) {
							 | 
						
					
						
							
								
									
										
										
										
											2004-10-29 22:07:18 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								      KARATSUBA_SQR_CUTOFF = size;
							 | 
						
					
						
							
								
									
										
										
										
											2017-10-18 10:44:06 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   } else {
							 | 
						
					
						
							
								
									
										
										
										
											2004-10-29 22:07:18 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								      KARATSUBA_SQR_CUTOFF = 100000;
							 | 
						
					
						
							
								
									
										
										
										
											2017-10-18 10:44:06 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   }
							 | 
						
					
						
							
								
									
										
										
										
											2004-10-29 22:07:18 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2017-10-18 10:44:06 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   t_start();
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   for (x = 0; x < TIMES; x++) {
							 | 
						
					
						
							
								
									
										
										
										
											2004-10-29 22:07:18 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								      mp_sqr(&a,&b);
							 | 
						
					
						
							
								
									
										
										
										
											2017-10-18 10:44:06 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   t1 = t_read();
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   mp_clear(&a);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   mp_clear(&b);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   return t1;
							 | 
						
					
						
							
								
									
										
										
										
											2003-03-13 02:11:11 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2017-10-18 10:44:06 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								int main(void)
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								{
							 | 
						
					
						
							
								
									
										
										
										
											2017-10-18 10:44:06 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   uint64_t 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;
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							
								
									
										
										
										
											2005-08-01 16:37:28 +00:00
										 
									 
								 
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							 | 
							
							
								
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											2017-08-28 16:27:26 +02:00
										 
									 
								 
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							 | 
							
								
							 | 
							
							
								/* ref:         $Format:%D$ */
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								/* git commit:  $Format:%H$ */
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							 | 
							
								
							 | 
							
							
								/* commit time: $Format:%ai$ */
							 |