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main_bis.c
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#include "entete.h"
void main(int argc, char** argv) {
mpz_t p,a,b,n,k;
point_t P;
mpz_inits(p,a,b,n,k,NULL);
point_init(P);
//p from example 7.
mpz_set_str(p,"1461501637330902918203684832716283019655932313743",10);
mpz_set_ui(a,0);
mpz_set_ui(b,3);
//n = #(E) (prime)
mpz_set_str(n,"1461501637330902918203687013445034429194588307251",10);
//k is a big integer
mpz_set_str(P->X,"1",10);
mpz_set_str(P->Y,"2",10);
mpz_set_str(P->Z,"1",10);
////////////////////////////////////////////////////////////////////////////////////
mpz_t pp,lambda,beta,k1,k2;
mpz_inits(pp,lambda,beta,k1,k2,NULL);
//On vérifie qu'on est dans le cas p = 1 mod 3
mpz_mod_ui(pp,p,3);
if(mpz_cmp_ui(pp,1) != 0) {printf("NON!\n");}
//Variables temporaires utiles
mpz_t tmp1,tmp2,tmp3;
mpz_inits(tmp1,tmp2,tmp3,NULL);
//tmp1 = (p+1)/4
mpz_add_ui(tmp1,p,1);
mpz_tdiv_q_ui(tmp1,tmp1,4);
//β est une racine cubique de 1 : ( (p-3)^((p+1)/4) - 1 ) /2 (voir rapport)
mpz_sub_ui(tmp3,p,3);
mpz_powm(tmp2,tmp3,tmp1,p);
mpz_sub_ui(tmp2,tmp2,1);
mpz_set_ui(tmp3,2);
mpz_invert(tmp3,tmp3,p);
mpz_mul(tmp2,tmp2,tmp3);
mpz_mod(tmp2,tmp2,p);
mpz_set(beta,tmp2);
//tmp1 = (n+1)/4
mpz_add_ui(tmp1,n,1);
mpz_tdiv_q_ui(tmp1,tmp1,4);
//λ vérifie λ^2+λ+1 = 0 mod N : ( -(n-3)^((n+1)/4) - 1 ) /2 (voir rapport)
mpz_sub_ui(tmp3,n,3);
mpz_powm(tmp2,tmp3,tmp1,n);
//Il faut choisir la bonne racine !
mpz_neg(tmp2,tmp2);
mpz_sub_ui(tmp2,tmp2,1);
mpz_set_ui(tmp3,2);
mpz_invert(tmp3,tmp3,n);
mpz_mul(tmp2,tmp2,tmp3);
mpz_mod(tmp2,tmp2,n);
mpz_set(lambda,tmp2);
//Q = φ(P) avec φ endomorphisme de l'exemple 4.
point_t Q;
point_init(Q);
mpz_mul(Q->X,beta,P->X);
mpz_set(Q->Y,P->Y);
mpz_set_ui(Q->Z,1);
point_t R,R2;
point_init(R);
point_init(R2);
point_t RR,RR2,PP;
point_init(RR);
point_init(RR2);
point_init(PP);
for(int w = 2; w<5 ; w++) {printf("w=%d\n",w);
gmp_randstate_t state;
gmp_randinit_default(state);
clock_t start, end;
double cpu_time_used;
double aver_daa=0;
double aver_glv=0;
FILE *file;
file = fopen("bench_aver2.txt", "a");
fprintf(file, "%d, ",w);
for(int j = 0; j < 5 ; j++){
mpz_urandomm(k,state,n);
start = clock();
for(int i = 0 ; i < 1000; i++){
double_and_add(p,a,b,P,k,R);
}
end = clock();
cpu_time_used = ((double) (end - start)) / CLOCKS_PER_SEC;
aver_daa += cpu_time_used;
start = clock();
for(int i = 0 ; i < 1000; i++){
decompose(k,n,lambda,k1,k2);
multiple_multiplication(p,a,b,w,k1,k2,P,Q,R);
}
end = clock();
cpu_time_used = ((double) (end - start)) / CLOCKS_PER_SEC;
aver_glv += cpu_time_used;
}
fprintf(file,"%f, %f\n",aver_daa/5.0,aver_glv/5.0);
fclose(file);
}
point_clear(Q); point_clear(R); point_clear(R2);
point_clear(RR); point_clear(RR2);point_clear(PP);
mpz_clears(tmp1,tmp2,tmp3,NULL);
mpz_clears(pp,lambda,beta,k1,k2,NULL);
////////////////////////////////////////////////////////////////////////////////////
point_clear(P);
mpz_clears(p,a,b,n,k,NULL);
}