void gej_equals_gej(const secp256k1_gej_t *a, const secp256k1_gej_t *b) {
secp256k1_ge_t aa, bb;
secp256k1_gej_t aj = *a, bj = *b;
secp256k1_ge_set_gej_var(&aa, &aj);
secp256k1_ge_set_gej_var(&bb, &bj);
CHECK(ge_equals_ge(&aa, &bb));
}
void test_exhaustive_addition(const secp256k1_ge *group, const secp256k1_gej *groupj, int order) {
int i, j;
/* Sanity-check (and check infinity functions) */
CHECK(secp256k1_ge_is_infinity(&group[0]));
CHECK(secp256k1_gej_is_infinity(&groupj[0]));
for (i = 1; i < order; i++) {
CHECK(!secp256k1_ge_is_infinity(&group[i]));
CHECK(!secp256k1_gej_is_infinity(&groupj[i]));
}
/* Check all addition formulae */
for (j = 0; j < order; j++) {
secp256k1_fe fe_inv;
secp256k1_fe_inv(&fe_inv, &groupj[j].z);
for (i = 0; i < order; i++) {
secp256k1_ge zless_gej;
secp256k1_gej tmp;
/* add_var */
secp256k1_gej_add_var(&tmp, &groupj[i], &groupj[j], NULL);
ge_equals_gej(&group[(i + j) % order], &tmp);
/* add_ge */
if (j > 0) {
secp256k1_gej_add_ge(&tmp, &groupj[i], &group[j]);
ge_equals_gej(&group[(i + j) % order], &tmp);
}
/* add_ge_var */
secp256k1_gej_add_ge_var(&tmp, &groupj[i], &group[j], NULL);
ge_equals_gej(&group[(i + j) % order], &tmp);
/* add_zinv_var */
zless_gej.infinity = groupj[j].infinity;
zless_gej.x = groupj[j].x;
zless_gej.y = groupj[j].y;
secp256k1_gej_add_zinv_var(&tmp, &groupj[i], &zless_gej, &fe_inv);
ge_equals_gej(&group[(i + j) % order], &tmp);
}
}
/* Check doubling */
for (i = 0; i < order; i++) {
secp256k1_gej tmp;
if (i > 0) {
secp256k1_gej_double_nonzero(&tmp, &groupj[i], NULL);
ge_equals_gej(&group[(2 * i) % order], &tmp);
}
secp256k1_gej_double_var(&tmp, &groupj[i], NULL);
ge_equals_gej(&group[(2 * i) % order], &tmp);
}
/* Check negation */
for (i = 1; i < order; i++) {
secp256k1_ge tmp;
secp256k1_gej tmpj;
secp256k1_ge_neg(&tmp, &group[i]);
ge_equals_ge(&group[order - i], &tmp);
secp256k1_gej_neg(&tmpj, &groupj[i]);
ge_equals_gej(&group[order - i], &tmpj);
}
}
void test_exhaustive_endomorphism(const secp256k1_ge *group, int order) {
int i;
for (i = 0; i < order; i++) {
secp256k1_ge res;
secp256k1_ge_mul_lambda(&res, &group[i]);
ge_equals_ge(&group[i * EXHAUSTIVE_TEST_LAMBDA % EXHAUSTIVE_TEST_ORDER], &res);
}
}
void ge_equals_gej(const secp256k1_ge_t *a, const secp256k1_gej_t *b) {
secp256k1_ge_t bb;
secp256k1_gej_t bj = *b;
secp256k1_ge_set_gej_var(&bb, &bj);
CHECK(ge_equals_ge(a, &bb));
}
