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Diffstat (limited to 'src/secp256k1/src/group_impl.h')
-rw-r--r--src/secp256k1/src/group_impl.h250
1 files changed, 116 insertions, 134 deletions
diff --git a/src/secp256k1/src/group_impl.h b/src/secp256k1/src/group_impl.h
index fef06df289..8d8c359c5a 100644
--- a/src/secp256k1/src/group_impl.h
+++ b/src/secp256k1/src/group_impl.h
@@ -13,6 +13,16 @@
#include "field.h"
#include "group.h"
+/** Generator for secp256k1, value 'g' defined in
+ * "Standards for Efficient Cryptography" (SEC2) 2.7.1.
+ */
+static const secp256k1_ge_t secp256k1_ge_const_g = SECP256K1_GE_CONST(
+ 0x79BE667EUL, 0xF9DCBBACUL, 0x55A06295UL, 0xCE870B07UL,
+ 0x029BFCDBUL, 0x2DCE28D9UL, 0x59F2815BUL, 0x16F81798UL,
+ 0x483ADA77UL, 0x26A3C465UL, 0x5DA4FBFCUL, 0x0E1108A8UL,
+ 0xFD17B448UL, 0xA6855419UL, 0x9C47D08FUL, 0xFB10D4B8UL
+);
+
static void secp256k1_ge_set_infinity(secp256k1_ge_t *r) {
r->infinity = 1;
}
@@ -33,32 +43,12 @@ static void secp256k1_ge_neg(secp256k1_ge_t *r, const secp256k1_ge_t *a) {
secp256k1_fe_negate(&r->y, &r->y, 1);
}
-static void secp256k1_ge_get_hex(char *r, int *rlen, const secp256k1_ge_t *a) {
- char cx[65]; int lx=65;
- char cy[65]; int ly=65;
- secp256k1_fe_get_hex(cx, &lx, &a->x);
- secp256k1_fe_get_hex(cy, &ly, &a->y);
- lx = strlen(cx);
- ly = strlen(cy);
- int len = lx + ly + 3 + 1;
- if (*rlen < len) {
- *rlen = len;
- return;
- }
- *rlen = len;
- r[0] = '(';
- memcpy(r+1, cx, lx);
- r[1+lx] = ',';
- memcpy(r+2+lx, cy, ly);
- r[2+lx+ly] = ')';
- r[3+lx+ly] = 0;
-}
-
static void secp256k1_ge_set_gej(secp256k1_ge_t *r, secp256k1_gej_t *a) {
+ secp256k1_fe_t z2, z3;
r->infinity = a->infinity;
secp256k1_fe_inv(&a->z, &a->z);
- secp256k1_fe_t z2; secp256k1_fe_sqr(&z2, &a->z);
- secp256k1_fe_t z3; secp256k1_fe_mul(&z3, &a->z, &z2);
+ secp256k1_fe_sqr(&z2, &a->z);
+ secp256k1_fe_mul(&z3, &a->z, &z2);
secp256k1_fe_mul(&a->x, &a->x, &z2);
secp256k1_fe_mul(&a->y, &a->y, &z3);
secp256k1_fe_set_int(&a->z, 1);
@@ -67,13 +57,14 @@ static void secp256k1_ge_set_gej(secp256k1_ge_t *r, secp256k1_gej_t *a) {
}
static void secp256k1_ge_set_gej_var(secp256k1_ge_t *r, secp256k1_gej_t *a) {
+ secp256k1_fe_t z2, z3;
r->infinity = a->infinity;
if (a->infinity) {
return;
}
secp256k1_fe_inv_var(&a->z, &a->z);
- secp256k1_fe_t z2; secp256k1_fe_sqr(&z2, &a->z);
- secp256k1_fe_t z3; secp256k1_fe_mul(&z3, &a->z, &z2);
+ secp256k1_fe_sqr(&z2, &a->z);
+ secp256k1_fe_mul(&z3, &a->z, &z2);
secp256k1_fe_mul(&a->x, &a->x, &z2);
secp256k1_fe_mul(&a->y, &a->y, &z3);
secp256k1_fe_set_int(&a->z, 1);
@@ -81,26 +72,30 @@ static void secp256k1_ge_set_gej_var(secp256k1_ge_t *r, secp256k1_gej_t *a) {
r->y = a->y;
}
-static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge_t r[len], const secp256k1_gej_t a[len]) {
+static void secp256k1_ge_set_all_gej_var(size_t len, secp256k1_ge_t *r, const secp256k1_gej_t *a) {
+ secp256k1_fe_t *az;
+ secp256k1_fe_t *azi;
+ size_t i;
size_t count = 0;
- secp256k1_fe_t *az = checked_malloc(sizeof(secp256k1_fe_t) * len);
- for (size_t i=0; i<len; i++) {
+ az = checked_malloc(sizeof(secp256k1_fe_t) * len);
+ for (i = 0; i < len; i++) {
if (!a[i].infinity) {
az[count++] = a[i].z;
}
}
- secp256k1_fe_t *azi = checked_malloc(sizeof(secp256k1_fe_t) * count);
+ azi = checked_malloc(sizeof(secp256k1_fe_t) * count);
secp256k1_fe_inv_all_var(count, azi, az);
free(az);
count = 0;
- for (size_t i=0; i<len; i++) {
+ for (i = 0; i < len; i++) {
r[i].infinity = a[i].infinity;
if (!a[i].infinity) {
+ secp256k1_fe_t zi2, zi3;
secp256k1_fe_t *zi = &azi[count++];
- secp256k1_fe_t zi2; secp256k1_fe_sqr(&zi2, zi);
- secp256k1_fe_t zi3; secp256k1_fe_mul(&zi3, &zi2, zi);
+ secp256k1_fe_sqr(&zi2, zi);
+ secp256k1_fe_mul(&zi3, &zi2, zi);
secp256k1_fe_mul(&r[i].x, &a[i].x, &zi2);
secp256k1_fe_mul(&r[i].y, &a[i].y, &zi3);
}
@@ -136,11 +131,12 @@ static void secp256k1_ge_clear(secp256k1_ge_t *r) {
}
static int secp256k1_ge_set_xo_var(secp256k1_ge_t *r, const secp256k1_fe_t *x, int odd) {
+ secp256k1_fe_t x2, x3, c;
r->x = *x;
- secp256k1_fe_t x2; secp256k1_fe_sqr(&x2, x);
- secp256k1_fe_t x3; secp256k1_fe_mul(&x3, x, &x2);
+ secp256k1_fe_sqr(&x2, x);
+ secp256k1_fe_mul(&x3, x, &x2);
r->infinity = 0;
- secp256k1_fe_t c; secp256k1_fe_set_int(&c, 7);
+ secp256k1_fe_set_int(&c, 7);
secp256k1_fe_add(&c, &x3);
if (!secp256k1_fe_sqrt_var(&r->y, &c))
return 0;
@@ -158,9 +154,10 @@ static void secp256k1_gej_set_ge(secp256k1_gej_t *r, const secp256k1_ge_t *a) {
}
static int secp256k1_gej_eq_x_var(const secp256k1_fe_t *x, const secp256k1_gej_t *a) {
+ secp256k1_fe_t r, r2;
VERIFY_CHECK(!a->infinity);
- secp256k1_fe_t r; secp256k1_fe_sqr(&r, &a->z); secp256k1_fe_mul(&r, &r, x);
- secp256k1_fe_t r2 = a->x; secp256k1_fe_normalize_weak(&r2);
+ secp256k1_fe_sqr(&r, &a->z); secp256k1_fe_mul(&r, &r, x);
+ r2 = a->x; secp256k1_fe_normalize_weak(&r2);
return secp256k1_fe_equal_var(&r, &r2);
}
@@ -178,6 +175,7 @@ static int secp256k1_gej_is_infinity(const secp256k1_gej_t *a) {
}
static int secp256k1_gej_is_valid_var(const secp256k1_gej_t *a) {
+ secp256k1_fe_t y2, x3, z2, z6;
if (a->infinity)
return 0;
/** y^2 = x^3 + 7
@@ -185,10 +183,10 @@ static int secp256k1_gej_is_valid_var(const secp256k1_gej_t *a) {
* Y^2 / Z^6 = X^3 / Z^6 + 7
* Y^2 = X^3 + 7*Z^6
*/
- secp256k1_fe_t y2; secp256k1_fe_sqr(&y2, &a->y);
- secp256k1_fe_t x3; secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x);
- secp256k1_fe_t z2; secp256k1_fe_sqr(&z2, &a->z);
- secp256k1_fe_t z6; secp256k1_fe_sqr(&z6, &z2); secp256k1_fe_mul(&z6, &z6, &z2);
+ secp256k1_fe_sqr(&y2, &a->y);
+ secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x);
+ secp256k1_fe_sqr(&z2, &a->z);
+ secp256k1_fe_sqr(&z6, &z2); secp256k1_fe_mul(&z6, &z6, &z2);
secp256k1_fe_mul_int(&z6, 7);
secp256k1_fe_add(&x3, &z6);
secp256k1_fe_normalize_weak(&x3);
@@ -196,27 +194,30 @@ static int secp256k1_gej_is_valid_var(const secp256k1_gej_t *a) {
}
static int secp256k1_ge_is_valid_var(const secp256k1_ge_t *a) {
+ secp256k1_fe_t y2, x3, c;
if (a->infinity)
return 0;
/* y^2 = x^3 + 7 */
- secp256k1_fe_t y2; secp256k1_fe_sqr(&y2, &a->y);
- secp256k1_fe_t x3; secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x);
- secp256k1_fe_t c; secp256k1_fe_set_int(&c, 7);
+ secp256k1_fe_sqr(&y2, &a->y);
+ secp256k1_fe_sqr(&x3, &a->x); secp256k1_fe_mul(&x3, &x3, &a->x);
+ secp256k1_fe_set_int(&c, 7);
secp256k1_fe_add(&x3, &c);
secp256k1_fe_normalize_weak(&x3);
return secp256k1_fe_equal_var(&y2, &x3);
}
static void secp256k1_gej_double_var(secp256k1_gej_t *r, const secp256k1_gej_t *a) {
- // For secp256k1, 2Q is infinity if and only if Q is infinity. This is because if 2Q = infinity,
- // Q must equal -Q, or that Q.y == -(Q.y), or Q.y is 0. For a point on y^2 = x^3 + 7 to have
- // y=0, x^3 must be -7 mod p. However, -7 has no cube root mod p.
+ /* Operations: 3 mul, 4 sqr, 0 normalize, 12 mul_int/add/negate */
+ secp256k1_fe_t t1,t2,t3,t4;
+ /** For secp256k1, 2Q is infinity if and only if Q is infinity. This is because if 2Q = infinity,
+ * Q must equal -Q, or that Q.y == -(Q.y), or Q.y is 0. For a point on y^2 = x^3 + 7 to have
+ * y=0, x^3 must be -7 mod p. However, -7 has no cube root mod p.
+ */
r->infinity = a->infinity;
if (r->infinity) {
return;
}
- secp256k1_fe_t t1,t2,t3,t4;
secp256k1_fe_mul(&r->z, &a->z, &a->y);
secp256k1_fe_mul_int(&r->z, 2); /* Z' = 2*Y*Z (2) */
secp256k1_fe_sqr(&t1, &a->x);
@@ -240,6 +241,8 @@ static void secp256k1_gej_double_var(secp256k1_gej_t *r, const secp256k1_gej_t *
}
static void secp256k1_gej_add_var(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_gej_t *b) {
+ /* Operations: 12 mul, 4 sqr, 2 normalize, 12 mul_int/add/negate */
+ secp256k1_fe_t z22, z12, u1, u2, s1, s2, h, i, i2, h2, h3, t;
if (a->infinity) {
*r = *b;
return;
@@ -249,14 +252,14 @@ static void secp256k1_gej_add_var(secp256k1_gej_t *r, const secp256k1_gej_t *a,
return;
}
r->infinity = 0;
- secp256k1_fe_t z22; secp256k1_fe_sqr(&z22, &b->z);
- secp256k1_fe_t z12; secp256k1_fe_sqr(&z12, &a->z);
- secp256k1_fe_t u1; secp256k1_fe_mul(&u1, &a->x, &z22);
- secp256k1_fe_t u2; secp256k1_fe_mul(&u2, &b->x, &z12);
- secp256k1_fe_t s1; secp256k1_fe_mul(&s1, &a->y, &z22); secp256k1_fe_mul(&s1, &s1, &b->z);
- secp256k1_fe_t s2; secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &a->z);
- secp256k1_fe_t h; secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2);
- secp256k1_fe_t i; secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2);
+ secp256k1_fe_sqr(&z22, &b->z);
+ secp256k1_fe_sqr(&z12, &a->z);
+ secp256k1_fe_mul(&u1, &a->x, &z22);
+ secp256k1_fe_mul(&u2, &b->x, &z12);
+ secp256k1_fe_mul(&s1, &a->y, &z22); secp256k1_fe_mul(&s1, &s1, &b->z);
+ secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &a->z);
+ secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2);
+ secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2);
if (secp256k1_fe_normalizes_to_zero_var(&h)) {
if (secp256k1_fe_normalizes_to_zero_var(&i)) {
secp256k1_gej_double_var(r, a);
@@ -265,11 +268,11 @@ static void secp256k1_gej_add_var(secp256k1_gej_t *r, const secp256k1_gej_t *a,
}
return;
}
- secp256k1_fe_t i2; secp256k1_fe_sqr(&i2, &i);
- secp256k1_fe_t h2; secp256k1_fe_sqr(&h2, &h);
- secp256k1_fe_t h3; secp256k1_fe_mul(&h3, &h, &h2);
+ secp256k1_fe_sqr(&i2, &i);
+ secp256k1_fe_sqr(&h2, &h);
+ secp256k1_fe_mul(&h3, &h, &h2);
secp256k1_fe_mul(&r->z, &a->z, &b->z); secp256k1_fe_mul(&r->z, &r->z, &h);
- secp256k1_fe_t t; secp256k1_fe_mul(&t, &u1, &h2);
+ secp256k1_fe_mul(&t, &u1, &h2);
r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2);
secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i);
secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1);
@@ -277,6 +280,8 @@ static void secp256k1_gej_add_var(secp256k1_gej_t *r, const secp256k1_gej_t *a,
}
static void secp256k1_gej_add_ge_var(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_ge_t *b) {
+ /* 8 mul, 3 sqr, 4 normalize, 12 mul_int/add/negate */
+ secp256k1_fe_t z12, u1, u2, s1, s2, h, i, i2, h2, h3, t;
if (a->infinity) {
r->infinity = b->infinity;
r->x = b->x;
@@ -289,13 +294,13 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej_t *r, const secp256k1_gej_t *
return;
}
r->infinity = 0;
- secp256k1_fe_t z12; secp256k1_fe_sqr(&z12, &a->z);
- secp256k1_fe_t u1 = a->x; secp256k1_fe_normalize_weak(&u1);
- secp256k1_fe_t u2; secp256k1_fe_mul(&u2, &b->x, &z12);
- secp256k1_fe_t s1 = a->y; secp256k1_fe_normalize_weak(&s1);
- secp256k1_fe_t s2; secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &a->z);
- secp256k1_fe_t h; secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2);
- secp256k1_fe_t i; secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2);
+ secp256k1_fe_sqr(&z12, &a->z);
+ u1 = a->x; secp256k1_fe_normalize_weak(&u1);
+ secp256k1_fe_mul(&u2, &b->x, &z12);
+ s1 = a->y; secp256k1_fe_normalize_weak(&s1);
+ secp256k1_fe_mul(&s2, &b->y, &z12); secp256k1_fe_mul(&s2, &s2, &a->z);
+ secp256k1_fe_negate(&h, &u1, 1); secp256k1_fe_add(&h, &u2);
+ secp256k1_fe_negate(&i, &s1, 1); secp256k1_fe_add(&i, &s2);
if (secp256k1_fe_normalizes_to_zero_var(&h)) {
if (secp256k1_fe_normalizes_to_zero_var(&i)) {
secp256k1_gej_double_var(r, a);
@@ -304,11 +309,11 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej_t *r, const secp256k1_gej_t *
}
return;
}
- secp256k1_fe_t i2; secp256k1_fe_sqr(&i2, &i);
- secp256k1_fe_t h2; secp256k1_fe_sqr(&h2, &h);
- secp256k1_fe_t h3; secp256k1_fe_mul(&h3, &h, &h2);
+ secp256k1_fe_sqr(&i2, &i);
+ secp256k1_fe_sqr(&h2, &h);
+ secp256k1_fe_mul(&h3, &h, &h2);
r->z = a->z; secp256k1_fe_mul(&r->z, &r->z, &h);
- secp256k1_fe_t t; secp256k1_fe_mul(&t, &u1, &h2);
+ secp256k1_fe_mul(&t, &u1, &h2);
r->x = t; secp256k1_fe_mul_int(&r->x, 2); secp256k1_fe_add(&r->x, &h3); secp256k1_fe_negate(&r->x, &r->x, 3); secp256k1_fe_add(&r->x, &i2);
secp256k1_fe_negate(&r->y, &r->x, 5); secp256k1_fe_add(&r->y, &t); secp256k1_fe_mul(&r->y, &r->y, &i);
secp256k1_fe_mul(&h3, &h3, &s1); secp256k1_fe_negate(&h3, &h3, 1);
@@ -316,6 +321,9 @@ static void secp256k1_gej_add_ge_var(secp256k1_gej_t *r, const secp256k1_gej_t *
}
static void secp256k1_gej_add_ge(secp256k1_gej_t *r, const secp256k1_gej_t *a, const secp256k1_ge_t *b) {
+ /* Operations: 7 mul, 5 sqr, 5 normalize, 19 mul_int/add/negate */
+ secp256k1_fe_t zz, u1, u2, s1, s2, z, t, m, n, q, rr;
+ int infinity;
VERIFY_CHECK(!b->infinity);
VERIFY_CHECK(a->infinity == 0 || a->infinity == 1);
@@ -341,24 +349,24 @@ static void secp256k1_gej_add_ge(secp256k1_gej_t *r, const secp256k1_gej_t *a, c
* (Note that the paper uses xi = Xi / Zi and yi = Yi / Zi instead.)
*/
- secp256k1_fe_t zz; secp256k1_fe_sqr(&zz, &a->z); /* z = Z1^2 */
- secp256k1_fe_t u1 = a->x; secp256k1_fe_normalize_weak(&u1); /* u1 = U1 = X1*Z2^2 (1) */
- secp256k1_fe_t u2; secp256k1_fe_mul(&u2, &b->x, &zz); /* u2 = U2 = X2*Z1^2 (1) */
- secp256k1_fe_t s1 = a->y; secp256k1_fe_normalize_weak(&s1); /* s1 = S1 = Y1*Z2^3 (1) */
- secp256k1_fe_t s2; secp256k1_fe_mul(&s2, &b->y, &zz); /* s2 = Y2*Z2^2 (1) */
- secp256k1_fe_mul(&s2, &s2, &a->z); /* s2 = S2 = Y2*Z1^3 (1) */
- secp256k1_fe_t z = a->z; /* z = Z = Z1*Z2 (8) */
- secp256k1_fe_t t = u1; secp256k1_fe_add(&t, &u2); /* t = T = U1+U2 (2) */
- secp256k1_fe_t m = s1; secp256k1_fe_add(&m, &s2); /* m = M = S1+S2 (2) */
- secp256k1_fe_t n; secp256k1_fe_sqr(&n, &m); /* n = M^2 (1) */
- secp256k1_fe_t q; secp256k1_fe_mul(&q, &n, &t); /* q = Q = T*M^2 (1) */
- secp256k1_fe_sqr(&n, &n); /* n = M^4 (1) */
- secp256k1_fe_t rr; secp256k1_fe_sqr(&rr, &t); /* rr = T^2 (1) */
+ secp256k1_fe_sqr(&zz, &a->z); /* z = Z1^2 */
+ u1 = a->x; secp256k1_fe_normalize_weak(&u1); /* u1 = U1 = X1*Z2^2 (1) */
+ secp256k1_fe_mul(&u2, &b->x, &zz); /* u2 = U2 = X2*Z1^2 (1) */
+ s1 = a->y; secp256k1_fe_normalize_weak(&s1); /* s1 = S1 = Y1*Z2^3 (1) */
+ secp256k1_fe_mul(&s2, &b->y, &zz); /* s2 = Y2*Z2^2 (1) */
+ secp256k1_fe_mul(&s2, &s2, &a->z); /* s2 = S2 = Y2*Z1^3 (1) */
+ z = a->z; /* z = Z = Z1*Z2 (8) */
+ t = u1; secp256k1_fe_add(&t, &u2); /* t = T = U1+U2 (2) */
+ m = s1; secp256k1_fe_add(&m, &s2); /* m = M = S1+S2 (2) */
+ secp256k1_fe_sqr(&n, &m); /* n = M^2 (1) */
+ secp256k1_fe_mul(&q, &n, &t); /* q = Q = T*M^2 (1) */
+ secp256k1_fe_sqr(&n, &n); /* n = M^4 (1) */
+ secp256k1_fe_sqr(&rr, &t); /* rr = T^2 (1) */
secp256k1_fe_mul(&t, &u1, &u2); secp256k1_fe_negate(&t, &t, 1); /* t = -U1*U2 (2) */
secp256k1_fe_add(&rr, &t); /* rr = R = T^2-U1*U2 (3) */
secp256k1_fe_sqr(&t, &rr); /* t = R^2 (1) */
secp256k1_fe_mul(&r->z, &m, &z); /* r->z = M*Z (1) */
- int infinity = secp256k1_fe_normalizes_to_zero(&r->z) * (1 - a->infinity);
+ infinity = secp256k1_fe_normalizes_to_zero(&r->z) * (1 - a->infinity);
secp256k1_fe_mul_int(&r->z, 2 * (1 - a->infinity)); /* r->z = Z3 = 2*M*Z (2) */
r->x = t; /* r->x = R^2 (1) */
secp256k1_fe_negate(&q, &q, 1); /* q = -Q (2) */
@@ -386,63 +394,37 @@ static void secp256k1_gej_add_ge(secp256k1_gej_t *r, const secp256k1_gej_t *a, c
r->infinity = infinity;
}
+static void secp256k1_ge_to_storage(secp256k1_ge_storage_t *r, const secp256k1_ge_t *a) {
+ secp256k1_fe_t x, y;
+ VERIFY_CHECK(!a->infinity);
+ x = a->x;
+ secp256k1_fe_normalize(&x);
+ y = a->y;
+ secp256k1_fe_normalize(&y);
+ secp256k1_fe_to_storage(&r->x, &x);
+ secp256k1_fe_to_storage(&r->y, &y);
+}
+static void secp256k1_ge_from_storage(secp256k1_ge_t *r, const secp256k1_ge_storage_t *a) {
+ secp256k1_fe_from_storage(&r->x, &a->x);
+ secp256k1_fe_from_storage(&r->y, &a->y);
+ r->infinity = 0;
+}
-static void secp256k1_gej_get_hex(char *r, int *rlen, const secp256k1_gej_t *a) {
- secp256k1_gej_t c = *a;
- secp256k1_ge_t t; secp256k1_ge_set_gej(&t, &c);
- secp256k1_ge_get_hex(r, rlen, &t);
+static SECP256K1_INLINE void secp256k1_ge_storage_cmov(secp256k1_ge_storage_t *r, const secp256k1_ge_storage_t *a, int flag) {
+ secp256k1_fe_storage_cmov(&r->x, &a->x, flag);
+ secp256k1_fe_storage_cmov(&r->y, &a->y, flag);
}
#ifdef USE_ENDOMORPHISM
static void secp256k1_gej_mul_lambda(secp256k1_gej_t *r, const secp256k1_gej_t *a) {
- const secp256k1_fe_t *beta = &secp256k1_ge_consts->beta;
+ static const secp256k1_fe_t beta = SECP256K1_FE_CONST(
+ 0x7ae96a2bul, 0x657c0710ul, 0x6e64479eul, 0xac3434e9ul,
+ 0x9cf04975ul, 0x12f58995ul, 0xc1396c28ul, 0x719501eeul
+ );
*r = *a;
- secp256k1_fe_mul(&r->x, &r->x, beta);
+ secp256k1_fe_mul(&r->x, &r->x, &beta);
}
#endif
-static void secp256k1_ge_start(void) {
- static const unsigned char secp256k1_ge_consts_g_x[] = {
- 0x79,0xBE,0x66,0x7E,0xF9,0xDC,0xBB,0xAC,
- 0x55,0xA0,0x62,0x95,0xCE,0x87,0x0B,0x07,
- 0x02,0x9B,0xFC,0xDB,0x2D,0xCE,0x28,0xD9,
- 0x59,0xF2,0x81,0x5B,0x16,0xF8,0x17,0x98
- };
- static const unsigned char secp256k1_ge_consts_g_y[] = {
- 0x48,0x3A,0xDA,0x77,0x26,0xA3,0xC4,0x65,
- 0x5D,0xA4,0xFB,0xFC,0x0E,0x11,0x08,0xA8,
- 0xFD,0x17,0xB4,0x48,0xA6,0x85,0x54,0x19,
- 0x9C,0x47,0xD0,0x8F,0xFB,0x10,0xD4,0xB8
- };
-#ifdef USE_ENDOMORPHISM
- /* properties of secp256k1's efficiently computable endomorphism */
- static const unsigned char secp256k1_ge_consts_beta[] = {
- 0x7a,0xe9,0x6a,0x2b,0x65,0x7c,0x07,0x10,
- 0x6e,0x64,0x47,0x9e,0xac,0x34,0x34,0xe9,
- 0x9c,0xf0,0x49,0x75,0x12,0xf5,0x89,0x95,
- 0xc1,0x39,0x6c,0x28,0x71,0x95,0x01,0xee
- };
-#endif
- if (secp256k1_ge_consts == NULL) {
- secp256k1_ge_consts_t *ret = (secp256k1_ge_consts_t*)checked_malloc(sizeof(secp256k1_ge_consts_t));
-#ifdef USE_ENDOMORPHISM
- VERIFY_CHECK(secp256k1_fe_set_b32(&ret->beta, secp256k1_ge_consts_beta));
-#endif
- secp256k1_fe_t g_x, g_y;
- VERIFY_CHECK(secp256k1_fe_set_b32(&g_x, secp256k1_ge_consts_g_x));
- VERIFY_CHECK(secp256k1_fe_set_b32(&g_y, secp256k1_ge_consts_g_y));
- secp256k1_ge_set_xy(&ret->g, &g_x, &g_y);
- secp256k1_ge_consts = ret;
- }
-}
-
-static void secp256k1_ge_stop(void) {
- if (secp256k1_ge_consts != NULL) {
- secp256k1_ge_consts_t *c = (secp256k1_ge_consts_t*)secp256k1_ge_consts;
- free((void*)c);
- secp256k1_ge_consts = NULL;
- }
-}
-
#endif
generated by cgit v1.2.3 (git 2.26.2) at 2024-07-21 02:51:47 +0000