int main(void) {
mpz_t p, q, N, d;
mpz_t dmp1, dmq1;
mpz_t ipmq, iqmp;
mpz_t adq, adp;
field_t f;
element_t a, b;
double t0, t1, tnaive = 0, tcrt=0;
int i, n;
mpz_init(p);
mpz_init(q);
mpz_init(N);
mpz_init(d);
mpz_init(dmp1);
mpz_init(dmq1);
mpz_init(ipmq);
mpz_init(iqmp);
mpz_init(adp);
mpz_init(adq);
pbc_mpz_randomb(p, 512);
pbc_mpz_randomb(q, 512);
mpz_nextprime(p, p);
mpz_nextprime(q, q);
mpz_mul(N, p, q);
mpz_invert(ipmq, p, q);
mpz_invert(iqmp, q, p);
field_init_fp(f, N);
element_init(a, f);
element_init(b, f);
n = 10;
for (i=0; i<n; i++) {
pbc_mpz_random(d, N);
element_random(a);
t0 = pbc_get_time();
element_pow_mpz(b, a, d);
t1 = pbc_get_time();
tnaive += t1 - t0;
mpz_sub_ui(p, p, 1);
mpz_sub_ui(q, q, 1);
mpz_mod(dmp1, d, p);
mpz_mod(dmq1, d, q);
mpz_add_ui(p, p, 1);
mpz_add_ui(q, q, 1);
element_to_mpz(adq, a);
element_to_mpz(adp, a);
t0 = pbc_get_time();
mpz_powm(adp, adp, d, p);
mpz_powm(adq, adq, d, q);
/* textbook CRT
mpz_mul(adp, adp, q);
mpz_mul(adp, adp, iqmp);
mpz_mul(adq, adq, p);
mpz_mul(adq, adq, ipmq);
mpz_add(adp, adp, adq);
*/
// Garner's algorithm
mpz_sub(adq, adq, adp);
mpz_mul(adq, adq, ipmq);
mpz_mod(adq, adq, q);
mpz_mul(adq, adq, p);
mpz_add(adp, adp, adq);
t1 = pbc_get_time();
tcrt += t1 - t0;
element_set_mpz(b, adp);
}
printf("average RSA exp time = %lf\n", tnaive / n);
printf("average RSA exp time (CRT) = %lf\n", tcrt / n);
return 0;
}
int main(int argc, char **argv) {
pairing_t pairing;
double time1, time2;
element_t P, a, b, c, Ka, Kb, Kc, t1, t2, t3, t4, t5, t6;
pbc_demo_pairing_init(pairing, argc, argv);
if (!pairing_is_symmetric(pairing)) pbc_die("pairing must be symmetric");
element_init_G1(P, pairing);
element_init_G1(t1, pairing);
element_init_G1(t2, pairing);
element_init_G1(t3, pairing);
element_init_Zr(a, pairing);
element_init_Zr(b, pairing);
element_init_Zr(c, pairing);
element_init_GT(t4, pairing);
element_init_GT(t5, pairing);
element_init_GT(t6, pairing);
element_init_GT(Ka, pairing);
element_init_GT(Kb, pairing);
element_init_GT(Kc, pairing);
time1 = pbc_get_time();
printf("Joux key agreement between A, B and C.\n");
element_random(P);
element_random(a);
element_random(b);
element_random(c);
element_mul_zn(t1, P, a);
printf("A sends B and C: aP\n");
element_printf("aP = %B\n", t1);
element_mul_zn(t2, P, b);
printf("B sends A and C: bP\n");
element_printf("bP = %B\n", t2);
element_mul_zn(t3, P, c);
printf("C sends A and B: cP\n");
element_printf("cP = %B\n", t3);
element_pairing(t4, t2, t3);
element_pow_zn(Ka, t4, a);
element_printf("Ka = %B\n", Ka);
element_pairing(t5, t1, t3);
element_pow_zn(Kb, t5, b);
element_printf("Kb = %B\n", Kb);
element_pairing(t6, t1, t2);
element_pow_zn(Kc, t6, c);
element_printf("Kc = %B\n", Kc);
printf("Shared key K = Ka = Kb = Kc\n");
time2 = pbc_get_time();
printf("All time = %fs\n", time2 - time1);
element_clear(P);
element_clear(a);
element_clear(b);
element_clear(c);
element_clear(Ka);
element_clear(Kb);
element_clear(Kc);
element_clear(t1);
element_clear(t2);
element_clear(t3);
element_clear(t4);
element_clear(t5);
element_clear(t6);
pairing_clear(pairing);
return 0;
}
int main(int argc, char **argv) {
pairing_t pairing;
element_t g1, u1, up1, g2, u2, up2, r;
mpz_t r_mpz;
element_pp_t g1_pp, g2_pp;
double t0, t1;
int i, n;
printf("reading pairing from stdin...\n");
pbc_demo_pairing_init(pairing, argc, argv);
element_init(r, pairing->Zr);
element_init(g1, pairing->G1);
element_init(u1, pairing->G1);
element_init(up1, pairing->G1);
element_init(g2, pairing->G2);
element_init(u2, pairing->G2);
element_init(up2, pairing->G2);
element_random(r);
element_random(g1);
element_random(g2);
mpz_init(r_mpz);
element_to_mpz(r_mpz, r);
element_pp_init(g1_pp, g1);
element_pp_init(g2_pp, g2);
n = 100;
t0 = pbc_get_time();
for (i=0; i<n; i++) {
element_pow_mpz(u1, g1, r_mpz);
}
t1 = pbc_get_time();
printf("G1 exp:\t\t%fs\n", t1 - t0);
n = 100;
t0 = pbc_get_time();
for (i=0; i<n; i++) {
element_pow_mpz(u2, g2, r_mpz);
}
t1 = pbc_get_time();
printf("G2 exp:\t\t%fs\n", t1 - t0);
n = 100;
t0 = pbc_get_time();
for (i=0; i<n; i++) {
element_pp_pow(up1, r_mpz, g1_pp);
}
t1 = pbc_get_time();
printf("G1 pp exp:\t%fs\n", t1 - t0);
n = 100;
t0 = pbc_get_time();
for (i=0; i<n; i++) {
element_pp_pow(up2, r_mpz, g2_pp);
}
t1 = pbc_get_time();
printf("G2 pp exp:\t%fs\n", t1 - t0);
if (element_cmp(u1, up1)) {
printf("Oops 1!\n");
}
if (element_cmp(u2, up2)) {
printf("Oops 2!\n");
}
mpz_clear(r_mpz);
element_clear(g1);
element_clear(u1);
element_clear(up1);
element_clear(g2);
element_clear(u2);
element_clear(up2);
element_clear(r);
element_pp_clear(g1_pp);
element_pp_clear(g2_pp);
pairing_clear(pairing);
return 0;
}
int main(int argc, char **argv) {
pairing_t pairing;
pbc_demo_pairing_init(pairing, argc, argv);
if (!pairing_is_symmetric(pairing)) pbc_die("pairing must be symmetric");
double time1, time2;
element_t P, Ppub, x, S, H, t1, t2, t3, t4;
element_init_Zr(x, pairing);
element_init_Zr(H, pairing);
element_init_Zr(t1, pairing);
element_init_G1(S, pairing);
element_init_G1(P, pairing);
element_init_G1(Ppub, pairing);
element_init_G1(t2, pairing);
element_init_GT(t3, pairing);
element_init_GT(t4, pairing);
printf("ZSS short signature schema\n");
printf("KEYGEN\n");
time1 = pbc_get_time();
element_random(x);
element_random(P);
element_mul_zn(Ppub, P, x);
element_printf("P = %B\n", P);
element_printf("x = %B\n", x);
element_printf("Ppub = %B\n", Ppub);
printf("SIGN\n");
element_from_hash(H, "Message", 7);
element_add(t1, H, x);
element_invert(t1, t1);
element_mul_zn(S, P, t1);
printf("Signature of message \"Message\" is:\n");
element_printf("S = %B\n", S);
printf("VERIFY\n");
element_from_hash(H, "Message", 7);
element_mul_zn(t2, P, H);
element_add(t2, t2, Ppub);
element_pairing(t3, t2, S);
element_pairing(t4, P, P);
element_printf("e(H(m)P + Ppub, S) = %B\n", t3);
element_printf("e(P, P) = %B\n", t4);
if (!element_cmp(t3, t4)) printf("Signature is valid\n");
else printf("Signature is invalid\n");
time2 = pbc_get_time();
printf("All time = %fs\n", time2 - time1);
element_clear(P);
element_clear(Ppub);
element_clear(x);
element_clear(S);
element_clear(H);
element_clear(t1);
element_clear(t2);
element_clear(t3);
element_clear(t4);
pairing_clear(pairing);
return 0;
}
int main(int argc, char **argv) {
pairing_t pairing;
element_t g1;
element_t s, r;
element_t id;
element_t pri_id;
element_t gID;
element_t Ppub;
element_t C1;
element_t gIDr;
pbc_demo_pairing_init(pairing, argc, argv);
element_init_G1(g1, pairing);
element_init_Zr(s, pairing);
element_init_Zr(r, pairing);
element_init_G1(id, pairing);
element_init_G1(pri_id, pairing);
element_init_GT(gID, pairing);
element_init_G1(Ppub, pairing);
element_init_G1(C1, pairing);
element_init_GT(gIDr, pairing);
double t0, t1, ttotal, ttotalpp;
element_random(g1);
element_random(s);
element_random(r);
element_random(id);
element_pow_zn(Ppub, g1, s);
ttotal = 0.0;
t0 = pbc_get_time();
element_pow_zn(pri_id, id, s);
element_pairing(gID, id, Ppub);
element_pow_zn(gIDr, gID, r);
t1 = pbc_get_time();
int i = 0;
int n = 1000;
for(i; i<n; i++)
{
t0 = pbc_get_time();
element_pow_zn(C1, g1, r);
t1 = pbc_get_time();
ttotal += t1 - t0;
}
printf("if we only have one user and the user is cached, average enc time = %f\n", ttotal / n);
i = 0;
ttotal = 0.0;
for(i; i<n; i++)
{
element_random(id);
t0 = pbc_get_time();
element_pow_zn(pri_id, id, s);
element_pairing(gID, id, Ppub);
element_pow_zn(gIDr, gID, r);
element_pow_zn(C1, g1, r);
t1 = pbc_get_time();
ttotal += t1 - t0;
}
printf("100 diff users, average enc time = %f\n", ttotal / n);
//dec
ttotal = 0.0;
element_t gIDr_prime;
element_init_GT(gIDr_prime, pairing);
i = 0;
for(i; i<n; i++)
{
element_random(pri_id);
element_random(C1);
t0 = pbc_get_time();
element_pairing(gIDr_prime, pri_id, C1);
t1 = pbc_get_time();
ttotal += t1 - t0;
}
printf("dec random messages, average dec time = %f\n", ttotal / n);
/*if (!element_cmp(gIDr_prime, gIDr)) {
printf("----------Confirm----------------\n");}
else{
printf("----------damn--------\n");
}*/
}