2018-05-02 21:43:17 +02:00
										 
									 
								 
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								#include "tommath_private.h"
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											2004-10-29 22:07:18 +00:00
										 
									 
								 
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								#ifdef BN_MP_RAND_C
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											2003-02-28 16:08:34 +00:00
										 
									 
								 
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								/* LibTomMath, multiple-precision integer library -- Tom St Denis
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								 *
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											2003-08-05 01:24:44 +00:00
										 
									 
								 
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								 * LibTomMath is a library that provides multiple-precision
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											2003-02-28 16:08:34 +00:00
										 
									 
								 
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								 * integer arithmetic as well as number theoretic functionality.
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								 *
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								 * The library was designed directly after the MPI library by
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											2003-02-28 16:08:34 +00:00
										 
									 
								 
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								 * Michael Fromberger but has been written from scratch with
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								 * additional optimizations in place.
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								 *
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								 * The library is free for all purposes without any express
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								 * guarantee it works.
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								 */
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											2018-04-14 14:33:36 +02:00
										 
									 
								 
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								/* First the OS-specific special cases
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								 * - *BSD
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								 * - Windows
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								 */
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								#if defined(__FreeBSD__) || defined(__OpenBSD__) || defined(__NetBSD__) || defined(__DragonFly__)
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								#define MP_ARC4RANDOM
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								#define MP_GEN_RANDOM_MAX     0xffffffffu
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								#define MP_GEN_RANDOM_SHIFT   32
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											2016-04-10 13:55:42 +02:00
										 
									 
								 
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											2018-09-23 21:37:58 +02:00
										 
									 
								 
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								static int s_read_arc4random(mp_digit *p)
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											2016-04-10 01:01:29 +02:00
										 
									 
								 
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								{
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											2017-08-30 20:23:46 +02:00
										 
									 
								 
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								   mp_digit d = 0, msk = 0;
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								   do {
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								      d <<= MP_GEN_RANDOM_SHIFT;
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											2018-04-14 14:33:36 +02:00
										 
									 
								 
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								      d |= ((mp_digit) arc4random());
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											2017-08-30 20:23:46 +02:00
										 
									 
								 
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								      msk <<= MP_GEN_RANDOM_SHIFT;
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								      msk |= (MP_MASK & MP_GEN_RANDOM_MAX);
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								   } while ((MP_MASK & msk) != MP_MASK);
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											2018-04-14 14:33:36 +02:00
										 
									 
								 
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								   *p = d;
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								   return MP_OKAY;
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								}
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								#endif
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								#if defined(_WIN32) || defined(_WIN32_WCE)
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								#define MP_WIN_CSP
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								#ifndef _WIN32_WINNT
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											2018-09-23 21:37:58 +02:00
										 
									 
								 
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								#define _WIN32_WINNT 0x0400
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								#endif
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								#ifdef _WIN32_WCE
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								#define UNDER_CE
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								#define ARM
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								#endif
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								#define WIN32_LEAN_AND_MEAN
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								#include <windows.h>
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								#include <wincrypt.h>
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								static HCRYPTPROV hProv = 0;
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								static void s_cleanup_win_csp(void)
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								{
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								   CryptReleaseContext(hProv, 0);
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								   hProv = 0;
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								}
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											2018-09-23 21:37:58 +02:00
										 
									 
								 
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								static int s_read_win_csp(mp_digit *p)
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								{
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								   int ret = -1;
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								   if (hProv == 0) {
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								      if (!CryptAcquireContext(&hProv, NULL, MS_DEF_PROV, PROV_RSA_FULL,
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								                               (CRYPT_VERIFYCONTEXT | CRYPT_MACHINE_KEYSET)) &&
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								          !CryptAcquireContext(&hProv, NULL, MS_DEF_PROV, PROV_RSA_FULL,
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											2018-04-14 14:33:36 +02:00
										 
									 
								 
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								                               CRYPT_VERIFYCONTEXT | CRYPT_MACHINE_KEYSET | CRYPT_NEWKEYSET)) {
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								         hProv = 0;
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								         return ret;
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								      }
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								      atexit(s_cleanup_win_csp);
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								   }
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											2018-09-23 21:37:58 +02:00
										 
									 
								 
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								   if (CryptGenRandom(hProv, sizeof(*p), (void *)p) == TRUE) {
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											2018-04-14 14:33:36 +02:00
										 
									 
								 
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								      ret = MP_OKAY;
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								   }
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								   return ret;
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								}
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								#endif /* WIN32 */
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								#if !defined(MP_WIN_CSP) && defined(__linux__) && defined(__GLIBC_PREREQ)
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								#if __GLIBC_PREREQ(2, 25)
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								#define MP_GETRANDOM
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								#include <sys/random.h>
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								#include <errno.h>
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								static int s_read_getrandom(mp_digit *p)
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								{
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								   int ret;
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								   do {
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								      ret = getrandom(p, sizeof(*p), 0);
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								   } while ((ret == -1) && (errno == EINTR));
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								   if (ret == sizeof(*p)) return MP_OKAY;
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								   return -1;
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								}
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								#endif
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								#endif
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								/* We assume all platforms besides windows provide "/dev/urandom".
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								 * In case yours doesn't, define MP_NO_DEV_URANDOM at compile-time.
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								 */
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								#if !defined(MP_WIN_CSP) && !defined(MP_NO_DEV_URANDOM)
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								#ifndef MP_DEV_URANDOM
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								#define MP_DEV_URANDOM "/dev/urandom"
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								#endif
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								#include <fcntl.h>
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								#include <errno.h>
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								#include <unistd.h>
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								static int s_read_dev_urandom(mp_digit *p)
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								{
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								   ssize_t r;
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								   int fd;
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								   do {
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								      fd = open(MP_DEV_URANDOM, O_RDONLY);
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											2018-09-23 21:37:58 +02:00
										 
									 
								 
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								   } while ((fd == -1) && (errno == EINTR));
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								   if (fd == -1) return -1;
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								   do {
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								      r = read(fd, p, sizeof(*p));
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								   } while ((r == -1) && (errno == EINTR));
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								   close(fd);
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								   if (r != sizeof(*p)) return -1;
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								   return MP_OKAY;
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								}
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								#endif
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								#if defined(MP_PRNG_ENABLE_LTM_RNG)
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								unsigned long (*ltm_rng)(unsigned char *out, unsigned long outlen, void (*callback)(void));
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								void (*ltm_rng_callback)(void);
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								static int s_read_ltm_rng(mp_digit *p)
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								{
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								   unsigned long ret;
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							 | 
							
							
								   if (ltm_rng == NULL) return -1;
							 | 
						
					
						
							
								
									
										
										
										
											2018-09-23 21:37:58 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   ret = ltm_rng((void *)p, sizeof(*p), ltm_rng_callback);
							 | 
						
					
						
							
								
									
										
										
										
											2018-04-14 14:33:36 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   if (ret != sizeof(*p)) return -1;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   return MP_OKAY;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#endif
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2018-09-23 21:37:58 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								static int s_rand_digit(mp_digit *p)
							 | 
						
					
						
							
								
									
										
										
										
											2018-04-14 14:33:36 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								{
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   int ret = -1;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#if defined(MP_ARC4RANDOM)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   ret = s_read_arc4random(p);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   if (ret == MP_OKAY) return ret;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#endif
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#if defined(MP_WIN_CSP)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   ret = s_read_win_csp(p);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   if (ret == MP_OKAY) return ret;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#else
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#if defined(MP_GETRANDOM)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   ret = s_read_getrandom(p);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   if (ret == MP_OKAY) return ret;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#endif
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#if defined(MP_DEV_URANDOM)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   ret = s_read_dev_urandom(p);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   if (ret == MP_OKAY) return ret;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#endif
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#endif /* MP_WIN_CSP */
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#if defined(MP_PRNG_ENABLE_LTM_RNG)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   ret = s_read_ltm_rng(p);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   if (ret == MP_OKAY) return ret;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								#endif
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   return ret;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								/* makes a pseudo-random int of a given size */
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								static int s_gen_random(mp_digit *r)
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								{
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   int ret = s_rand_digit(r);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   *r &= MP_MASK;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   return ret;
							 | 
						
					
						
							
								
									
										
										
										
											2016-04-10 01:01:29 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2017-08-30 19:07:12 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								int mp_rand(mp_int *a, int digits)
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								{
							 | 
						
					
						
							
								
									
										
										
										
											2017-08-30 20:23:46 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   int     res;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   mp_digit d;
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2017-08-30 20:23:46 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   mp_zero(a);
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   if (digits <= 0) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      return MP_OKAY;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   }
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2017-08-30 20:23:46 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   /* first place a random non-zero digit */
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   do {
							 | 
						
					
						
							
								
									
										
										
										
											2018-04-14 14:33:36 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								      if (s_gen_random(&d) != MP_OKAY) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								         return MP_VAL;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      }
							 | 
						
					
						
							
								
									
										
										
										
											2017-10-15 19:57:12 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   } while (d == 0u);
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2017-08-30 20:23:46 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   if ((res = mp_add_d(a, d, a)) != MP_OKAY) {
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      return res;
							 | 
						
					
						
							
								
									
										
										
										
											2017-08-30 20:23:46 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   }
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:09:08 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2017-08-30 20:23:46 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   while (--digits > 0) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      if ((res = mp_lshd(a, 1)) != MP_OKAY) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								         return res;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2018-04-14 14:33:36 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								      if (s_gen_random(&d) != MP_OKAY) {
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								         return MP_VAL;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      if ((res = mp_add_d(a, d, a)) != MP_OKAY) {
							 | 
						
					
						
							
								
									
										
										
										
											2017-08-30 20:23:46 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								         return res;
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								      }
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								   }
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2017-08-30 20:23:46 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								   return MP_OKAY;
							 | 
						
					
						
							
								
									
										
										
										
											2003-02-28 16:08:34 +00:00
										 
									 
								 
							 | 
							
								
							 | 
							
								
							 | 
							
							
								}
							 | 
						
					
						
							
								
									
										
										
										
											2004-10-29 22:07:18 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								#endif
							 | 
						
					
						
							
								
									
										
										
										
											2005-08-01 16:37:28 +00:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								
							 | 
						
					
						
							
								
									
										
										
										
											2017-08-28 16:27:26 +02:00
										 
									 
								 
							 | 
							
								
									
										
									
								
							 | 
							
								
							 | 
							
							
								/* ref:         $Format:%D$ */
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								/* git commit:  $Format:%H$ */
							 | 
						
					
						
							| 
								
							 | 
							
								
							 | 
							
								
							 | 
							
							
								/* commit time: $Format:%ai$ */
							 |