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#include "fr.h"
#include <stdio.h>
#include <stdlib.h>
#include <gmp.h>
#include <assert.h>
mpz_t q;
mpz_t zero;
mpz_t one;
mpz_t mask;
size_t nBits;
void Fr_toMpz(mpz_t r, PFrElement pE) {
Fr_toNormal(pE);
if (!(pE->type & Fr_LONG)) {
mpz_set_si(r, pE->shortVal);
if (pE->shortVal<0) {
mpz_add(r, r, q);
}
} else {
Fr_toNormal(pE);
mpz_import(r, Fr_N64, -1, 8, -1, 0, (const void *)pE->longVal);
}
}
void Fr_fromMpz(PFrElement pE, mpz_t v) {
if (mpz_fits_sint_p(v)) {
pE->type = Fr_SHORT;
pE->shortVal = mpz_get_si(v);
} else {
pE->type = Fr_LONG;
for (int i=0; i<Fr_N64; i++) pE->longVal[i] = 0;
mpz_export((void *)(pE->longVal), NULL, -1, 8, -1, 0, v);
}
}
void Fr_init() {
mpz_init(q);
mpz_import(q, Fr_N64, -1, 8, -1, 0, (const void *)Fr_q.longVal);
mpz_init_set_ui(zero, 0);
mpz_init_set_ui(one, 1);
nBits = mpz_sizeinbase (q, 2);
mpz_init(mask);
mpz_mul_2exp(mask, one, nBits);
mpz_sub(mask, mask, one);
}
void Fr_str2element(PFrElement pE, char const *s) {
mpz_t mr;
mpz_init_set_str(mr, s, 10);
Fr_fromMpz(pE, mr);
}
char *Fr_element2str(PFrElement pE) {
mpz_t r;
if (!(pE->type & Fr_LONG)) {
if (pE->shortVal>=0) {
char *r = new char[32];
sprintf(r, "%d", pE->shortVal);
return r;
} else {
mpz_init_set_si(r, pE->shortVal);
mpz_add(r, r, q);
}
} else {
Fr_toNormal(pE);
mpz_init(r);
mpz_import(r, Fr_N64, -1, 8, -1, 0, (const void *)pE->longVal);
}
char *res = mpz_get_str (0, 10, r);
mpz_clear(r);
return res;
}
void Fr_idiv(PFrElement r, PFrElement a, PFrElement b) {
mpz_t ma;
mpz_t mb;
mpz_t mr;
mpz_init(ma);
mpz_init(mb);
mpz_init(mr);
Fr_toMpz(ma, a);
// char *s1 = mpz_get_str (0, 10, ma);
// printf("s1 %s\n", s1);
Fr_toMpz(mb, b);
// char *s2 = mpz_get_str (0, 10, mb);
// printf("s2 %s\n", s2);
mpz_fdiv_q(mr, ma, mb);
// char *sr = mpz_get_str (0, 10, mr);
// printf("r %s\n", sr);
Fr_fromMpz(r, mr);
}
void Fr_mod(PFrElement r, PFrElement a, PFrElement b) {
mpz_t ma;
mpz_t mb;
mpz_t mr;
mpz_init(ma);
mpz_init(mb);
mpz_init(mr);
Fr_toMpz(ma, a);
Fr_toMpz(mb, b);
mpz_fdiv_r(mr, ma, mb);
Fr_fromMpz(r, mr);
}
void Fr_shl(PFrElement r, PFrElement a, PFrElement b) {
mpz_t ma;
mpz_t mb;
mpz_t mr;
mpz_init(ma);
mpz_init(mb);
mpz_init(mr);
Fr_toMpz(ma, a);
Fr_toMpz(mb, b);
if (mpz_cmp_ui(mb, nBits) < 0) {
mpz_mul_2exp(mr, ma, mpz_get_ui(mb));
mpz_and(mr, mr, mask);
if (mpz_cmp(mr, q) >= 0) {
mpz_sub(mr, mr, q);
}
} else {
mpz_sub(mb, q, mb);
if (mpz_cmp_ui(mb, nBits) < 0) {
mpz_tdiv_q_2exp(mr, ma, mpz_get_ui(mb));
} else {
mpz_set(mr, zero);
}
}
Fr_fromMpz(r, mr);
}
void Fr_shr(PFrElement r, PFrElement a, PFrElement b) {
mpz_t ma;
mpz_t mb;
mpz_t mr;
mpz_init(ma);
mpz_init(mb);
mpz_init(mr);
Fr_toMpz(ma, a);
Fr_toMpz(mb, b);
if (mpz_cmp_ui(mb, nBits) < 0) {
mpz_tdiv_q_2exp(mr, ma, mpz_get_ui(mb));
} else {
mpz_sub(mb, q, mb);
if (mpz_cmp_ui(mb, nBits) < 0) {
mpz_mul_2exp(mr, ma, mpz_get_ui(mb));
mpz_and(mr, mr, mask);
if (mpz_cmp(mr, q) >= 0) {
mpz_sub(mr, mr, q);
}
} else {
mpz_set(mr, zero);
}
}
Fr_fromMpz(r, mr);
}
void Fr_pow(PFrElement r, PFrElement a, PFrElement b) {
mpz_t ma;
mpz_t mb;
mpz_t mr;
mpz_init(ma);
mpz_init(mb);
mpz_init(mr);
Fr_toMpz(ma, a);
Fr_toMpz(mb, b);
mpz_powm(mr, ma, mb, q);
Fr_fromMpz(r, mr);
}
void Fr_inv(PFrElement r, PFrElement a) {
mpz_t ma;
mpz_t mr;
mpz_init(ma);
mpz_init(mr);
Fr_toMpz(ma, a);
mpz_invert(mr, ma, q);
Fr_fromMpz(r, mr);
}
void Fr_div(PFrElement r, PFrElement a, PFrElement b) {
FrElement tmp;
Fr_inv(&tmp, b);
Fr_mul(r, a, &tmp);
}
void Fr_fail() {
assert(false);
}