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| /*
* dh.c
* Example source file for D-H algorithm in key exchange
* Example fields: IPsec, MG<->MGC authentication
* Example usage: ./dh 10000 8888 523
* dhKey = g^a mod(p)
* g – unsigned long, like 2-4294967295
* a – unsigned int, like 2-65535
* p – unsigned int, prime number, like 2-65535
* Build cmd: gcc -o dh -lm dh.c
* Input sequence: g a p
* 2011/04/20
* [email]dave.tian@alcatel-lucentc.om[/email]
* [url]http://daveti.blog.com[/url]
*/
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <sys/times.h>
#include <unistd.h>
unsigned long dh1( unsigned long, unsigned int, unsigned int);
unsigned long dh2( unsigned long, unsigned int, unsigned int);
int main( int argc, char **argv)
{
if ( argc != 4)
{
printf(“Error\n”);
return 1;
}
// Get the input from cli
unsigned long g = strtoul( argv[ 1], NULL, 10);
unsigned int a = strtoul( argv[ 2], NULL, 10);
unsigned int p = strtoul( argv[ 3], NULL, 10);
printf(“g = %lu\na = %u\np = %u\n”, g, a, p);
// Check if p is a prime number
// C++ may have a function called isPrime? – not sure of that:)
unsigned int i = 0;
unsigned int r = (unsigned int)sqrt( p);
for( i = 2; i <= r; i++)
{
if ( p%i == 0)
{
printf(“‘p’ is not a prime: %u\n”, p);
return 1;
}
}
// D-H algorithm: g^a mod(p);
// Time measurement could be added here to compare
// the different performance between the 2 implementations
// However, memory consideration comparison is missed here
// between the 2 functions…Personally I assume recurrsion
// function should consume more dynamic memory because of
// large number of stacks, which may cause memory overflow.
unsigned long dhKey = 0;
struct tms time_buf_head, time_buf_end;
clock_t time_head, time_end;
long tck = sysconf (_SC_CLK_TCK);
time_head = times( &time_buf_head );
dhKey = dh1( g, a, p);
time_end = times( &time_buf_end );
printf(“dh1(), user time: %f, sys time: %f, child user time: %f, child sys time: %f\n”,
((time_buf_end.tms_utime – time_buf_head.tms_utime) / (double)tck),
((time_buf_end.tms_stime – time_buf_head.tms_stime) / (double)tck),
((time_buf_end.tms_cutime – time_buf_head.tms_cutime) / (double)tck),
((time_buf_end.tms_cstime – time_buf_head.tms_cstime) / (double)tck) );
printf(“dh1 = %lu\n”, dhKey);
time_head = times( &time_buf_head );
dhKey = dh2( g, a, p);
time_end = times( &time_buf_end );
printf(“dh2(), user time: %f, sys time: %f, child user time: %f, child sys time: %f\n”,
((time_buf_end.tms_utime – time_buf_head.tms_utime) / (double)tck),
((time_buf_end.tms_stime – time_buf_head.tms_stime) / (double)tck),
((time_buf_end.tms_cutime – time_buf_head.tms_cutime) / (double)tck),
((time_buf_end.tms_cstime – time_buf_head.tms_cstime) / (double)tck) );
printf(“dh2 = %lu\n”, dhKey);
return 0;
}
unsigned long dh1( unsigned long g, unsigned int a, unsigned int p)
{
// This is a recurssion version of D-H algorithm
// implemented by daveti on 2011/04/20
if ( a == 0)
{
printf(“Error\n”);
return 0;
}
if ( a == 1)
{
return g%p;
}
// (a*b)%c == ((a%c)*(b%c))%c
return ((g%p)*(dh1( g, a-1, p)))%p;
}
unsigned long dh2( unsigned long g, unsigned int a, unsigned int p)
{
// This is non-recurssion version of D-H algorithm
// implemented by daveti on 2011/04/21
// g^4%p = (g%p*((g%p*((g%p*(g%p))%p))%p))%p
// let z = g%p
// g^4%p = (z*((z*((z*z)%p))%p))%p
// = (((((z*z)%p)*z)%p)*z)%p
if ( a == 0)
{
printf(“Error\n”);
return 0;
}
unsigned long z = g%p;
if ( a == 1)
{
return z;
}
unsigned int idx = 0;
unsigned long tmp = z;
for ( idx = 2; idx <= a; idx++)
{
tmp = (tmp*z)%p;
}
return tmp;
}
/*
* dh.c
* Example source file for D-H algorithm in key exchange
* Example fields: IPsec, MG<->MGC authentication
* Example usage: ./dh 10000 8888 523
* dhKey = g^a mod(p)
* g – unsigned long, like 2-4294967295
* a – unsigned int, like 2-65535
* p – unsigned int, prime number, like 2-65535
* Build cmd: gcc -o dh -lm dh.c
* Input sequence: g a p
* 2011/04/20
* [email]dave.tian@alcatel-lucentc.om[/email]
* [url]http://daveti.blog.com[/url]
*/
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <sys/times.h>
#include <unistd.h>
unsigned long dh1( unsigned long, unsigned int, unsigned int);
unsigned long dh2( unsigned long, unsigned int, unsigned int);
int main( int argc, char **argv)
{
if ( argc != 4)
{
printf(“Error\n”);
return 1;
}
// Get the input from cli
unsigned long g = strtoul( argv[ 1], NULL, 10);
unsigned int a = strtoul( argv[ 2], NULL, 10);
unsigned int p = strtoul( argv[ 3], NULL, 10);
printf(“g = %lu\na = %u\np = %u\n”, g, a, p);
// Check if p is a prime number
// C++ may have a function called isPrime? – not sure of that:)
unsigned int i = 0;
unsigned int r = (unsigned int)sqrt( p);
for( i = 2; i <= r; i++)
{
if ( p%i == 0)
{
printf(“‘p’ is not a prime: %u\n”, p);
return 1;
}
}
// D-H algorithm: g^a mod(p);
// Time measurement could be added here to compare
// the different performance between the 2 implementations
// However, memory consideration comparison is missed here
// between the 2 functions…Personally I assume recurrsion
// function should consume more dynamic memory because of
// large number of stacks, which may cause memory overflow.
unsigned long dhKey = 0;
struct tms time_buf_head, time_buf_end;
clock_t time_head, time_end;
long tck = sysconf (_SC_CLK_TCK);
time_head = times( &time_buf_head );
dhKey = dh1( g, a, p);
time_end = times( &time_buf_end );
printf(“dh1(), user time: %f, sys time: %f, child user time: %f, child sys time: %f\n”,
((time_buf_end.tms_utime – time_buf_head.tms_utime) / (double)tck),
((time_buf_end.tms_stime – time_buf_head.tms_stime) / (double)tck),
((time_buf_end.tms_cutime – time_buf_head.tms_cutime) / (double)tck),
((time_buf_end.tms_cstime – time_buf_head.tms_cstime) / (double)tck) );
printf(“dh1 = %lu\n”, dhKey);
time_head = times( &time_buf_head );
dhKey = dh2( g, a, p);
time_end = times( &time_buf_end );
printf(“dh2(), user time: %f, sys time: %f, child user time: %f, child sys time: %f\n”,
((time_buf_end.tms_utime – time_buf_head.tms_utime) / (double)tck),
((time_buf_end.tms_stime – time_buf_head.tms_stime) / (double)tck),
((time_buf_end.tms_cutime – time_buf_head.tms_cutime) / (double)tck),
((time_buf_end.tms_cstime – time_buf_head.tms_cstime) / (double)tck) );
printf(“dh2 = %lu\n”, dhKey);
return 0;
}
unsigned long dh1( unsigned long g, unsigned int a, unsigned int p)
{
// This is a recurssion version of D-H algorithm
// implemented by daveti on 2011/04/20
if ( a == 0)
{
printf(“Error\n”);
return 0;
}
if ( a == 1)
{
return g%p;
}
// (a*b)%c == ((a%c)*(b%c))%c
return ((g%p)*(dh1( g, a-1, p)))%p;
}
unsigned long dh2( unsigned long g, unsigned int a, unsigned int p)
{
// This is non-recurssion version of D-H algorithm
// implemented by daveti on 2011/04/21
// g^4%p = (g%p*((g%p*((g%p*(g%p))%p))%p))%p
// let z = g%p
// g^4%p = (z*((z*((z*z)%p))%p))%p
// = (((((z*z)%p)*z)%p)*z)%p
if ( a == 0)
{
printf(“Error\n”);
return 0;
}
unsigned long z = g%p;
if ( a == 1)
{
return z;
}
unsigned int idx = 0;
unsigned long tmp = z;
for ( idx = 2; idx <= a; idx++)
{
tmp = (tmp*z)%p;
}
return tmp;
}
[size="1"][color="grey"][I]Добавлено через 13 минут[/I][/color][/size]
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <sys/times.h>
#include <unistd.h>
unsigned long dh1( unsigned long, unsigned int, unsigned int);
unsigned long dh2( unsigned long, unsigned int, unsigned int);
int main( int argc, char **argv)
{
if ( argc != 4)
{
printf(“Error\n”);
return 1;
}
// Get the input from cli
unsigned long g = strtoul( argv[ 1], NULL, 10);
unsigned int a = strtoul( argv[ 2], NULL, 10);
unsigned int p = strtoul( argv[ 3], NULL, 10);
printf(“g = %lu\na = %u\np = %u\n”, g, a, p);
// Check if p is a prime number
// C++ may have a function called isPrime? – not sure of that:)
unsigned int i = 0;
unsigned int r = (unsigned int)sqrt( p);
for( i = 2; i <= r; i++)
{
if ( p%i == 0)
{
printf(“‘p’ is not a prime: %u\n”, p);
return 1;
}
}
// D-H algorithm: g^a mod(p);
// Time measurement could be added here to compare
// the different performance between the 2 implementations
// However, memory consideration comparison is missed here
// between the 2 functions…Personally I assume recurrsion
// function should consume more dynamic memory because of
// large number of stacks, which may cause memory overflow.
unsigned long dhKey = 0;
struct tms time_buf_head, time_buf_end;
clock_t time_head, time_end;
long tck = sysconf (_SC_CLK_TCK);
time_head = times( &time_buf_head );
dhKey = dh1( g, a, p);
time_end = times( &time_buf_end );
printf(“dh1(), user time: %f, sys time: %f, child user time: %f, child sys time: %f\n”,
((time_buf_end.tms_utime – time_buf_head.tms_utime) / (double)tck),
((time_buf_end.tms_stime – time_buf_head.tms_stime) / (double)tck),
((time_buf_end.tms_cutime – time_buf_head.tms_cutime) / (double)tck),
((time_buf_end.tms_cstime – time_buf_head.tms_cstime) / (double)tck) );
printf(“dh1 = %lu\n”, dhKey);
time_head = times( &time_buf_head );
dhKey = dh2( g, a, p);
time_end = times( &time_buf_end );
printf(“dh2(), user time: %f, sys time: %f, child user time: %f, child sys time: %f\n”,
((time_buf_end.tms_utime – time_buf_head.tms_utime) / (double)tck),
((time_buf_end.tms_stime – time_buf_head.tms_stime) / (double)tck),
((time_buf_end.tms_cutime – time_buf_head.tms_cutime) / (double)tck),
((time_buf_end.tms_cstime – time_buf_head.tms_cstime) / (double)tck) );
printf(“dh2 = %lu\n”, dhKey);
return 0;
}
unsigned long dh1( unsigned long g, unsigned int a, unsigned int p)
{
// This is a recurssion version of D-H algorithm
// implemented by daveti on 2011/04/20
if ( a == 0)
{
printf(“Error\n”);
return 0;
}
if ( a == 1)
{
return g%p;
}
// (a*b)%c == ((a%c)*(b%c))%c
return ((g%p)*(dh1( g, a-1, p)))%p;
}
unsigned long dh2( unsigned long g, unsigned int a, unsigned int p)
{
// This is non-recurssion version of D-H algorithm
// implemented by daveti on 2011/04/21
// g^4%p = (g%p*((g%p*((g%p*(g%p))%p))%p))%p
// let z = g%p
// g^4%p = (z*((z*((z*z)%p))%p))%p
// = (((((z*z)%p)*z)%p)*z)%p
if ( a == 0)
{
printf(“Error\n”);
return 0;
}
unsigned long z = g%p;
if ( a == 1)
{
return z;
}
unsigned int idx = 0;
unsigned long tmp = z;
for ( idx = 2; idx <= a; idx++)
{
tmp = (tmp*z)%p;
}
return tmp;
} |
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