void ep2_add_slp_basic(ep2_t r, fp2_t s, ep2_t p, ep2_t q) {
if (ep2_is_infty(p)) {
ep2_copy(r, q);
return;
}
if (ep2_is_infty(q)) {
ep2_copy(r, p);
return;
}
ep2_add_basic_imp(r, s, p, q);
}
int ep2_size_bin(ep2_t a, int pack) {
ep2_t t;
int size = 0;
ep2_null(t);
if (ep2_is_infty(a)) {
return 1;
}
TRY {
ep2_new(t);
ep2_norm(t, a);
size = 1 + 2 * FP_BYTES;
if (!pack) {
size += 2 * FP_BYTES;
}
} CATCH_ANY {
THROW(ERR_CAUGHT);
} FINALLY {
ep2_free(t);
}
return size;
}
void ep2_dbl_projc(ep2_t r, ep2_t p) {
if (ep2_is_infty(p)) {
ep2_set_infty(r);
return;
}
ep2_dbl_projc_imp(r, p);
}
void ep2_dbl_slp_basic(ep2_t r, fp2_t s, ep2_t p) {
if (ep2_is_infty(p)) {
ep2_set_infty(r);
return;
}
ep2_dbl_basic_imp(r, s, p);
}
void ep2_dbl_basic(ep2_t r, ep2_t p) {
if (ep2_is_infty(p)) {
ep2_set_infty(r);
return;
}
ep2_dbl_basic_imp(r, NULL, p);
}
void ep2_add_projc(ep2_t r, ep2_t p, ep2_t q) {
if (ep2_is_infty(p)) {
ep2_copy(r, q);
return;
}
if (ep2_is_infty(q)) {
ep2_copy(r, p);
return;
}
if (p == q) {
/* TODO: This is a quick hack. Should we fix this? */
ep2_dbl(r, p);
return;
}
ep2_add_projc_imp(r, p, q);
}
void pp_map_weilp_k12(fp12_t r, ep_t p, ep2_t q) {
ep_t _p[1], t0[1];
ep2_t _q[1], t1[1];
fp12_t r0, r1;
bn_t n;
ep_null(_p[0]);
ep_null(t0[1]);
ep2_null(_q[0]);
ep2_null(t1[1]);
fp12_null(r0);
fp12_null(r1);
bn_null(n);
TRY {
ep_new(_p[0]);
ep_new(t0[0]);
ep2_new(_q[0]);
ep2_new(t1[0]);
fp12_new(r0);
fp12_new(r1);
bn_new(n);
ep_norm(_p[0], p);
ep2_norm(_q[0], q);
ep_curve_get_ord(n);
bn_sub_dig(n, n, 1);
fp12_set_dig(r0, 1);
fp12_set_dig(r1, 1);
if (!ep_is_infty(_p[0]) && !ep2_is_infty(_q[0])) {
pp_mil_lit_k12(r0, t0, _p, _q, 1, n);
pp_mil_k12(r1, t1, _q, _p, 1, n);
fp12_inv(r1, r1);
fp12_mul(r0, r0, r1);
fp12_inv(r1, r0);
fp12_inv_uni(r0, r0);
}
fp12_mul(r, r0, r1);
}
CATCH_ANY {
THROW(ERR_CAUGHT);
}
FINALLY {
ep_free(_p[0]);
ep_free(t0[0]);
ep2_free(_q[0]);
ep2_free(t1[0]);
fp12_free(r0);
fp12_free(r1);
bn_free(n);
}
}
void pp_norm_k12(ep2_t r, ep2_t p) {
if (ep2_is_infty(p)) {
ep2_set_infty(r);
return;
}
if (p->norm) {
/* If the point is represented in affine coordinates, we just copy it. */
ep2_copy(r, p);
}
#if EP_ADD == PROJC || !defined(STRIP)
pp_norm_imp(r, p);
#endif
}
void ep2_neg_projc(ep2_t r, ep2_t p) {
if (ep2_is_infty(p)) {
ep2_set_infty(r);
return;
}
if (r != p) {
fp2_copy(r->x, p->x);
fp2_copy(r->z, p->z);
}
fp2_neg(r->y, p->y);
r->norm = p->norm;
}
void pp_map_sim_tatep_k12(fp12_t r, ep_t *p, ep2_t *q, int m) {
ep_t _p[m], t[m];
ep2_t _q[m];
bn_t n;
int i, j;
bn_null(n);
TRY {
bn_new(n);
for (i = 0; i < m; i++) {
ep_null(_p[i]);
ep_null(t[i]);
ep2_null(_q[i]);
ep_new(_p[i]);
ep_new(t[i]);
ep2_new(_q[i]);
}
j = 0;
for (i = 0; i < m; i++) {
if (!ep_is_infty(p[i]) && !ep2_is_infty(q[i])) {
ep_norm(_p[j], p[i]);
ep2_norm(_q[j++], q[i]);
}
}
ep_curve_get_ord(n);
fp12_set_dig(r, 1);
if (j > 0) {
pp_mil_lit_k12(r, t, _p, _q, j, n);
pp_exp_k12(r, r);
}
}
CATCH_ANY {
THROW(ERR_CAUGHT);
}
FINALLY {
bn_free(n);
for (i = 0; i < m; i++) {
ep_free(_p[i]);
ep_free(t[i]);
ep2_free(_q[i]);
}
}
}
void ep2_write_bin(uint8_t *bin, int len, ep2_t a, int pack) {
ep2_t t;
ep2_null(t);
if (ep2_is_infty(a)) {
if (len != 1) {
THROW(ERR_NO_BUFFER);
} else {
bin[0] = 0;
return;
}
}
TRY {
ep2_new(t);
ep2_norm(t, a);
if (pack) {
if (len < 2 * FP_BYTES + 1) {
THROW(ERR_NO_BUFFER);
} else {
ep2_pck(t, t);
bin[0] = 2 | fp_get_bit(t->y[0], 0);
fp2_write_bin(bin + 1, 2 * FP_BYTES, t->x, 0);
}
} else {
if (len < 4 * FP_BYTES + 1) {
THROW(ERR_NO_BUFFER);
} else {
bin[0] = 4;
fp2_write_bin(bin + 1, 2 * FP_BYTES, t->x, 0);
fp2_write_bin(bin + 2 * FP_BYTES + 1, 2 * FP_BYTES, t->y, 0);
}
}
} CATCH_ANY {
THROW(ERR_CAUGHT);
} FINALLY {
ep2_free(t);
}
}
int ep2_is_valid(ep2_t p) {
ep2_t t;
int r = 0;
ep2_null(t);
TRY {
ep2_new(t);
ep2_norm(t, p);
ep2_rhs(t->x, t);
fp2_sqr(t->y, t->y);
r = (fp2_cmp(t->x, t->y) == CMP_EQ) || ep2_is_infty(p);
} CATCH_ANY {
THROW(ERR_CAUGHT);
} FINALLY {
ep2_free(t);
}
return r;
}
void pp_map_tatep_k12(fp12_t r, ep_t p, ep2_t q) {
ep_t _p[1], t[1];
ep2_t _q[1];
bn_t n;
ep_null(_p[0]);
ep_null(t[0]);
ep2_null(_q[0]);
bn_null(n);
TRY {
ep_new(_p[0]);
ep_new(t[0]);
ep2_new(_q[0]);
bn_new(n);
ep_norm(_p[0], p);
ep2_norm(_q[0], q);
ep_curve_get_ord(n);
fp12_set_dig(r, 1);
if (!ep_is_infty(p) && !ep2_is_infty(q)) {
pp_mil_lit_k12(r, t, _p, _q, 1, n);
pp_exp_k12(r, r);
}
}
CATCH_ANY {
THROW(ERR_CAUGHT);
}
FINALLY {
ep_free(_p[0]);
ep_free(t[0]);
ep2_free(_q[0]);
bn_free(n);
}
}
void pp_map_sim_oatep_k12(fp12_t r, ep_t *p, ep2_t *q, int m) {
ep_t _p[m];
ep2_t t[m], _q[m];
bn_t a;
int i, j, len = FP_BITS, s[FP_BITS];
TRY {
bn_null(a);
bn_new(a);
for (i = 0; i < m; i++) {
ep_null(_p[i]);
ep2_null(_q[i]);
ep2_null(t[i]);
ep_new(_p[i]);
ep2_new(_q[i]);
ep2_new(t[i]);
}
j = 0;
for (i = 0; i < m; i++) {
if (!ep_is_infty(p[i]) && !ep2_is_infty(q[i])) {
ep_norm(_p[j], p[i]);
ep2_norm(_q[j++], q[i]);
}
}
fp12_set_dig(r, 1);
fp_param_get_var(a);
bn_mul_dig(a, a, 6);
bn_add_dig(a, a, 2);
fp_param_get_map(s, &len);
if (j > 0) {
switch (ep_param_get()) {
case BN_P158:
case BN_P254:
case BN_P256:
case BN_P638:
/* r = f_{|a|,Q}(P). */
pp_mil_sps_k12(r, t, _q, _p, j, s, len);
if (bn_sign(a) == BN_NEG) {
/* f_{-a,Q}(P) = 1/f_{a,Q}(P). */
fp12_inv_uni(r, r);
}
for (i = 0; i < j; i++) {
if (bn_sign(a) == BN_NEG) {
ep2_neg(t[i], t[i]);
}
pp_fin_k12_oatep(r, t[i], _q[i], _p[i]);
}
pp_exp_k12(r, r);
break;
case B12_P638:
/* r = f_{|a|,Q}(P). */
pp_mil_sps_k12(r, t, _q, _p, j, s, len);
if (bn_sign(a) == BN_NEG) {
fp12_inv_uni(r, r);
}
pp_exp_k12(r, r);
break;
}
}
}
CATCH_ANY {
THROW(ERR_CAUGHT);
}
FINALLY {
bn_free(a);
for (i = 0; i < m; i++) {
ep_free(_p[i]);
ep2_free(_q[i]);
ep2_free(t[i]);
}
}
}
void pp_map_oatep_k12(fp12_t r, ep_t p, ep2_t q) {
ep_t _p[1];
ep2_t t[1], _q[1];
bn_t a;
int len = FP_BITS, s[FP_BITS];
ep_null(_p[0]);
ep2_null(_q[0]);
ep2_null(t[0]);
bn_null(a);
TRY {
ep_new(_p[0]);
ep2_new(_q[0]);
ep2_new(t[0]);
bn_new(a);
fp_param_get_var(a);
bn_mul_dig(a, a, 6);
bn_add_dig(a, a, 2);
fp_param_get_map(s, &len);
fp12_set_dig(r, 1);
ep_norm(_p[0], p);
ep2_norm(_q[0], q);
if (!ep_is_infty(_p[0]) && !ep2_is_infty(_q[0])) {
switch (ep_param_get()) {
case BN_P158:
case BN_P254:
case BN_P256:
case BN_P638:
/* r = f_{|a|,Q}(P). */
pp_mil_sps_k12(r, t, _q, _p, 1, s, len);
if (bn_sign(a) == BN_NEG) {
/* f_{-a,Q}(P) = 1/f_{a,Q}(P). */
fp12_inv_uni(r, r);
ep2_neg(t[0], t[0]);
}
pp_fin_k12_oatep(r, t[0], _q[0], _p[0]);
pp_exp_k12(r, r);
break;
case B12_P638:
/* r = f_{|a|,Q}(P). */
pp_mil_sps_k12(r, t, _q, _p, 1, s, len);
if (bn_sign(a) == BN_NEG) {
fp12_inv_uni(r, r);
ep2_neg(t[0], t[0]);
}
pp_exp_k12(r, r);
break;
}
}
}
CATCH_ANY {
THROW(ERR_CAUGHT);
}
FINALLY {
ep_free(_p[0]);
ep2_free(_q[0]);
ep2_free(t[0]);
bn_free(a);
}
}
void pp_map_sim_weilp_k12(fp12_t r, ep_t *p, ep2_t *q, int m) {
ep_t _p[m], t0[m];
ep2_t _q[m], t1[m];
fp12_t r0, r1;
bn_t n;
int i, j;
fp12_null(r0);
fp12_null(r1);
bn_null(r);
TRY {
fp12_new(r0);
fp12_new(r1);
bn_new(n);
for (i = 0; i < m; i++) {
ep_null(_p[i]);
ep_null(t0[i]);
ep2_null(_q[i]);
ep2_null(t1[i]);
ep_new(_p[i]);
ep_new(t0[i]);
ep2_new(_q[i]);
ep2_new(t1[i]);
}
j = 0;
for (i = 0; i < m; i++) {
if (!ep_is_infty(p[i]) && !ep2_is_infty(q[i])) {
ep_norm(_p[j], p[i]);
ep2_norm(_q[j++], q[i]);
}
}
ep_curve_get_ord(n);
bn_sub_dig(n, n, 1);
fp12_set_dig(r0, 1);
fp12_set_dig(r1, 1);
if (j > 0) {
pp_mil_lit_k12(r0, t0, _p, _q, j, n);
pp_mil_k12(r1, t1, _q, _p, j, n);
fp12_inv(r1, r1);
fp12_mul(r0, r0, r1);
fp12_inv(r1, r0);
fp12_inv_uni(r0, r0);
}
fp12_mul(r, r0, r1);
}
CATCH_ANY {
THROW(ERR_CAUGHT);
}
FINALLY {
fp12_free(r0);
fp12_free(r1);
bn_free(n);
for (i = 0; i < m; i++) {
ep_free(_p[i]);
ep_free(t0[i]);
ep2_free(_q[i]);
ep2_free(t1[i]);
}
}
}
