提交 946cd9a5 编写于 作者: B Bodo Möller

Change submitted files so that they compile (in particular,

use BN_CTX_start/get/end instead of accessing ctx->tos).

Change indentation to "EAY" style.
上级 0ac87024
......@@ -20,70 +20,69 @@
int BN_legendre(BIGNUM *a, BIGNUM *p, BN_CTX *ctx)
{
{
BIGNUM *x, *y, *y2;
BN_ULONG m;
int L;
assert(a != NULL && p != NULL && ctx != NULL);
x = ctx->bn[ctx->tos];
y = ctx->bn[ctx->tos + 1];
y2 = ctx->bn[ctx->tos + 2];
ctx->tos += 3;
BN_CTX_start(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
y2 = BN_CTX_get(ctx);
if (y2 == NULL) goto err;
if (!BN_nnmod(x, a, p, ctx)) goto err;
if (BN_is_zero(x))
{
ctx->tos -= 3;
{
BN_CTX_end(ctx);
return 0;
}
}
if (BN_copy(y, p) == NULL) goto err;
L = 1;
while (1)
{
{
if (!BN_rshift1(y2, y)) goto err;
if (BN_cmp(x, y2) > 0)
{
{
if (!BN_sub(x, y, x)) goto err;
if (BN_mod_word(y, 4) == 3)
L = -L;
}
}
while (BN_mod_word(x, 4) == 0)
BN_div_word(x, 4);
if (BN_mod_word(x, 2) == 0)
{
{
BN_div_word(x, 2);
m = BN_mod_word(y, 8);
if (m == 3 || m == 5) L = -L;
}
}
if (BN_is_one(x))
{
ctx->tos -= 3;
{
BN_CTX_end(ctx);
return L;
}
}
if (BN_mod_word(x, 4) == 3 && BN_mod_word(y, 4) == 3) L = -L;
if (!BN_swap(x, y)) goto err;
BN_swap(x, y);
if (!BN_nnmod(x, x, y, ctx)) goto err;
}
}
err:
ctx->tos -= 3;
BN_CTX_end(ctx);
return -2;
}
}
int BN_mod_sqrt(BIGNUM *x, BIGNUM *a, BIGNUM *p, BN_CTX *ctx)
/* x^2 = a (mod p) */
{
{
int ret;
BIGNUM *n0, *n1, *r, *b, *m;
int max;
......@@ -94,14 +93,15 @@ int BN_mod_sqrt(BIGNUM *x, BIGNUM *a, BIGNUM *p, BN_CTX *ctx)
ret = BN_legendre(a, p, ctx);
if (ret < 0 || ret > 1) return 0;
if (ret == 0)
{
{
if (!BN_zero(x)) return 0;
return 1;
}
}
n0 = ctx->bn[ctx->tos];
n1 = ctx->bn[ctx->tos + 1];
ctx->tos += 2;
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
if (n1 == NULL) goto err;
if ((r = BN_new()) == NULL) goto err;
if ((b = BN_new()) == NULL) goto err;
......@@ -116,22 +116,23 @@ int BN_mod_sqrt(BIGNUM *x, BIGNUM *a, BIGNUM *p, BN_CTX *ctx)
max = 0;
do{
do
{
if (max++ > MAX_ROUNDS) goto err; /* if p is not prime could never stop*/
if (!BN_add_word(m, 1)) goto err;
ret = BN_legendre(m, p, ctx);
if (ret < -1 || ret > 1) goto err;
}while(ret != -1);
}
while (ret != -1);
if (BN_copy(n1, p) == NULL) goto err;
if (!BN_sub_word(n1, 1)) goto err;
while (!BN_is_odd(n1))
{
{
if (!BN_add_word(r, 1)) goto err;
if (!BN_rshift1(n1, n1)) goto err;
}
}
if (!BN_mod_exp_simple(n0, m, n1, p, ctx)) goto err;
......@@ -145,15 +146,14 @@ int BN_mod_sqrt(BIGNUM *x, BIGNUM *a, BIGNUM *p, BN_CTX *ctx)
if (!BN_mod_mul(x, x, a, p, ctx)) goto err;
while (!BN_is_one(b))
{
{
if (!BN_one(m)) goto err;
if (!BN_mod_sqr(n1, b, p, ctx)) goto err;
while(!BN_is_one(n1))
{
{
if (!BN_mod_mul(n1, n1, n1, p, ctx)) goto err;
if (!BN_add_word(m, 1)) goto err;
}
}
if (!BN_sub(r, r, m)) goto err;
if (!BN_sub_word(r, 1)) goto err;
......@@ -161,16 +161,16 @@ int BN_mod_sqrt(BIGNUM *x, BIGNUM *a, BIGNUM *p, BN_CTX *ctx)
if (BN_copy(n1, n0) == NULL) goto err;
while(!BN_is_zero(r))
{
{
if (!BN_mod_mul(n1, n1, n1, p, ctx)) goto err;
if (!BN_sub_word(r, 1)) goto err;
}
}
if (!BN_mod_mul(n0, n1, n1, p, ctx)) goto err;
if (BN_copy(r, m) == NULL) goto err;
if (!BN_mod_mul(x, x, n1, p, ctx)) goto err;
if (!BN_mod_mul(b, b, n0, p, ctx)) goto err;
}
}
#ifdef TEST
......@@ -181,12 +181,12 @@ int BN_mod_sqrt(BIGNUM *x, BIGNUM *a, BIGNUM *p, BN_CTX *ctx)
if (r != NULL) BN_clear_free(r);
if (b != NULL) BN_clear_free(b);
if (m != NULL) BN_clear_free(m);
ctx->tos -= 2;
BN_CTX_end(ctx);
return 1;
err:
if (r != NULL) BN_clear_free(r);
if (b != NULL) BN_clear_free(b);
if (m != NULL) BN_clear_free(m);
ctx->tos -= 2;
BN_CTX_end(ctx);
return 0;
}
}
......@@ -15,7 +15,7 @@
#include <openssl/bn.h>
#include "bn_mont2.h"
#include "../bn/bn_mont2.h" /* XXX */
typedef struct bn_ec_struct /* E: y^2 = x^3 + Ax + B (mod p) */
{
......
......@@ -16,12 +16,13 @@
#include <openssl/bn.h>
#include "bn_modfs.h"
#include "bn_mont2.h"
#include "../bn/bn_modfs.h" /* XXX */
#include "../bn/bn_mont2.h" /* XXX */
#include "ec.h"
EC_POINT *ECP_new()
{
{
EC_POINT *ret;
ret=(EC_POINT *)malloc(sizeof(EC_POINT));
......@@ -31,19 +32,20 @@ EC_POINT *ECP_new()
ret->Z = BN_new();
ret->is_in_mont = 0;
if (ret->X == NULL || ret->Y == NULL || ret->Z == NULL)
{
if (ret->X == NULL || ret->Y == NULL || ret->Z == NULL)
{
if (ret->X != NULL) BN_free(ret->X);
if (ret->Y != NULL) BN_free(ret->Y);
if (ret->Z != NULL) BN_free(ret->Z);
free(ret);
return(NULL);
}
}
return(ret);
}
}
void ECP_clear_free(EC_POINT *P)
{
{
if (P == NULL) return;
P->is_in_mont = 0;
......@@ -51,31 +53,34 @@ void ECP_clear_free(EC_POINT *P)
if (P->Y != NULL) BN_clear_free(P->Y);
if (P->Z != NULL) BN_clear_free(P->Z);
free(P);
}
}
void ECP_clear_free_precompute(ECP_PRECOMPUTE *prec)
{
{
int i;
int max;
if (prec == NULL) return;
if (prec->Pi != NULL)
{
{
max = 1;
max <<= (prec->r - 1);
for (i = 0; i < max; i++)
{
{
if (prec->Pi[i] != NULL) ECP_clear_free(prec->Pi[i]);
}
}
}
free(prec);
}
}
int ECP_is_on_ec(EC_POINT *P, EC *E, BN_CTX *ctx)
{
{
BIGNUM *n0, *n1, *n2, *p;
int Pnorm;
int ret = -1;
assert(P != NULL);
assert(P->X != NULL && P->Y != NULL && P->Z != NULL);
......@@ -89,70 +94,67 @@ int ECP_is_on_ec(EC_POINT *P, EC *E, BN_CTX *ctx)
if (ECP_is_infty(P)) return 1;
n0 = ctx->bn[ctx->tos];
n1 = ctx->bn[ctx->tos + 1];
n2 = ctx->bn[ctx->tos + 2];
ctx->tos += 3;
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
n2 = BN_CTX_get(ctx);
if (n2 == NULL)
goto err;
p = E->p;
Pnorm = (ECP_is_norm(P));
if (!Pnorm)
{
{
if (!BN_mod_mul(n0, P->Z, P->Z, p, ctx)) goto err;
if (!BN_mod_mul(n1, n0, n0, p, ctx)) goto err;
if (!BN_mod_mul(n2, n0, n1, p, ctx)) goto err;
}
}
if (!BN_mod_mul(n0, P->X, P->X, p, ctx)) goto err;
if (!BN_mod_mul(n0, n0, P->X, p, ctx)) goto err;
if (Pnorm)
{
{
if (!BN_mod_mul(n1, P->X, E->A, p, ctx)) goto err;
}
}
else
{
{
if (!BN_mod_mul(n1, n1, P->X, p, ctx)) goto err;
if (!BN_mod_mul(n1, n1, E->A, p, ctx)) goto err;
}
}
if (!BN_mod_add(n0, n0, n1, p, ctx)) goto err;
if (Pnorm)
{
{
if (!BN_mod_add(n0, n0, E->B, p, ctx)) goto err;
}
}
else
{
{
if (!BN_mod_mul(n2, n2, E->B, p, ctx)) goto err;
if (!BN_mod_add(n0, n0, n2, p, ctx)) goto err;
}
}
if (!BN_mod_mul(n1, P->Y, P->Y, p, ctx)) goto err;
if (BN_cmp(n0, n1))
{
ctx->tos -= 3;
return 0;
}
if (BN_cmp(n0, n1))
ret = 0;
else
ret = 1;
ctx->tos -= 3;
return 1;
err:
ctx->tos -= 3;
return -1;
}
BN_CTX_end(ctx);
return ret;
}
EC_POINT *ECP_generate(BIGNUM *x, BIGNUM *z,EC *E, BN_CTX *ctx)
/* x == NULL || z = 0 -> point of infinity */
/* z == NULL || z = 1 -> normalized */
{
{
BIGNUM *n0, *n1;
EC_POINT *ret;
EC_POINT *ret = NULL;
int Pnorm, Pinfty, X0, A0;
assert(E != NULL);
......@@ -162,22 +164,22 @@ EC_POINT *ECP_generate(BIGNUM *x, BIGNUM *z,EC *E, BN_CTX *ctx)
Pinfty = (x == NULL);
Pnorm = (z == NULL);
if (!Pnorm)
{
if (!Pnorm)
{
Pnorm = BN_is_one(z);
Pinfty = (Pinfty || BN_is_zero(z));
}
}
if (Pinfty)
{
if (Pinfty)
{
if ((ret = ECP_new()) == NULL) return NULL;
if (!BN_zero(ret->Z))
{
if (!BN_zero(ret->Z))
{
ECP_clear_free(ret);
return NULL;
}
}
return ret;
}
}
X0 = BN_is_zero(x);
A0 = BN_is_zero(E->A);
......@@ -186,24 +188,25 @@ EC_POINT *ECP_generate(BIGNUM *x, BIGNUM *z,EC *E, BN_CTX *ctx)
ret->is_in_mont = 0;
n0 = ctx->bn[ctx->tos];
n1 = ctx->bn[ctx->tos + 1];
if (!BN_zero(n0)) return NULL;
if (!BN_zero(n1)) return NULL;
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
if (n1 == NULL) goto err;
ctx->tos += 2;
if (!BN_zero(n0)) goto err;
if (!BN_zero(n1)) goto err;
if (!X0)
{
{
if (!BN_mod_sqr(n0, x, E->p, ctx)) goto err;
if (!BN_mod_mul(n0, n0, x, E->p, ctx)) goto err; /* x^3 */
}
}
if (!X0 && !A0)
{
{
if (!BN_mod_mul(n1, E->A, x, E->p, ctx)) goto err; /* Ax */
if (!BN_mod_add(n0, n0, n1, E->p, ctx)) goto err; /* x^3 + Ax */
}
}
if (!BN_is_zero(E->B))
if (!BN_mod_add(n0, n0, E->B, E->p, ctx)) goto err; /* x^3 + Ax +B */
......@@ -212,36 +215,37 @@ EC_POINT *ECP_generate(BIGNUM *x, BIGNUM *z,EC *E, BN_CTX *ctx)
if (BN_copy(ret->X, x) == NULL) goto err;
if (Pnorm)
{
{
if (!BN_one(ret->Z)) goto err;
}
}
else
{
{
if (BN_copy(ret->Z, z) == NULL) goto err;
if (!BN_mod_sqr(n0, z, E->p, ctx)) goto err;
if (!BN_mod_mul(ret->X, ret->X, n0, E->p, ctx)) goto err;
if (!BN_mod_mul(n0, n0, z, E->p, ctx)) goto err;
if (!BN_mod_mul(ret->Y, ret->Y, n0, E->p, ctx)) goto err;
}
}
#ifdef TEST
if (!ECP_is_on_ec(ret, E, ctx)) goto err;
#endif
ctx->tos -= 2;
BN_CTX_end(ctx);
return ret;
err:
if (ret != NULL) ECP_clear_free(ret);
ctx->tos -= 2;
BN_CTX_end(ctx);
return NULL;
}
}
int ECP_ecp2bin(EC_POINT *P, unsigned char *to, int form)
/* form = 1 ... compressed
2 ... uncompressed
3 ... hybrid */
{
2 ... uncompressed
3 ... hybrid */
{
int bytes, bx, by;
assert (P != NULL);
......@@ -252,41 +256,42 @@ int ECP_ecp2bin(EC_POINT *P, unsigned char *to, int form)
assert (form > 0 && form < 4);
if (BN_is_zero(P->Z))
{
{
to[0] = 0;
return 1;
}
}
bx = BN_num_bytes(P->X);
if (form == 1 ) bytes = bx + 1;
else
{
else
{
by = BN_num_bytes(P->Y);
bytes = (bx > by ? bx : by);
bytes = bytes * 2 + 1;
}
}
memset(to, 0, bytes);
switch (form)
{
{
case 1: to[0] = 2; break;
case 2: to[0] = 4; break;
case 3: to[0] = 6; break;
}
}
if (form != 2) to[0] += BN_is_bit_set(P->Y, 0);
if ((BN_bn2bin(P->X, to + 1)) != bx) return 0;
if (form != 1)
{
{
if ((BN_bn2bin(P->Y, to + bx + 1)) != by) return 0;
}
}
return bytes;
}
}
int ECP_bin2ecp(unsigned char *from, int len, EC_POINT *P, EC *E, BN_CTX *ctx)
{
{
int y;
BIGNUM *x;
EC_POINT *pp;
......@@ -303,13 +308,13 @@ int ECP_bin2ecp(unsigned char *from, int len, EC_POINT *P, EC *E, BN_CTX *ctx)
if (len == 1 && from[0] != 0) return 0;
if (len == 0 || len == 1)
{
{
if (!BN_zero(P->Z)) return 0;
return 1;
}
}
switch (from[0])
{
{
case 2:
case 3:
y = from[0] - 2;
......@@ -339,14 +344,15 @@ int ECP_bin2ecp(unsigned char *from, int len, EC_POINT *P, EC *E, BN_CTX *ctx)
default:
assert(0);
}
}
if (!ECP_is_on_ec(P, E, ctx)) return 0;
return 1;
}
}
int ECP_normalize(EC_POINT *P, EC *E, BN_CTX *ctx)
{
{
BIGNUM *z, *zm;
assert (P != NULL);
......@@ -365,8 +371,9 @@ int ECP_normalize(EC_POINT *P, EC *E, BN_CTX *ctx)
assert(!P->is_in_mont);
z = ctx->bn[ctx->tos];
ctx->tos++;
BN_CTX_start(ctx);
z = BN_CTX_get(ctx);
if (z == NULL) goto err;
if (!BN_mod_mul(z, zm, zm, E->p, ctx)) goto err;
if (!BN_mod_mul(P->X, P->X, z, E->p, ctx)) goto err;
......@@ -378,17 +385,18 @@ int ECP_normalize(EC_POINT *P, EC *E, BN_CTX *ctx)
if (zm != NULL) BN_clear_free(zm);
ctx->tos--;
BN_CTX_end(ctx);
return 1;
err:
if (zm != NULL) BN_clear_free(zm);
ctx->tos--;
BN_CTX_end(ctx);
return 0;
}
}
int ECP_copy(EC_POINT *R, EC_POINT *P)
{
{
assert(P != NULL);
assert(P->X != NULL && P->Y != NULL && P->Z != NULL);
......@@ -401,27 +409,28 @@ int ECP_copy(EC_POINT *R, EC_POINT *P)
R->is_in_mont = P->is_in_mont;
return 1;
}
}
EC_POINT *ECP_dup(EC_POINT *P)
{
{
EC_POINT *ret;
ret = ECP_new();
if (ret == NULL) return NULL;
if (!ECP_copy(ret, P))
{
{
ECP_clear_free(ret);
return(NULL);
}
}
return(ret);
}
}
EC_POINT *ECP_minus(EC_POINT *P, BIGNUM *p) /* mont || non-mont */
{
{
EC_POINT *ret;
assert(P != NULL);
......@@ -437,24 +446,24 @@ EC_POINT *ECP_minus(EC_POINT *P, BIGNUM *p) /* mont || non-mont */
if (BN_is_zero(ret->Y)) return ret;
if (!BN_sub(ret->Y, p, ret->Y))
{
{
ECP_clear_free(ret);
return NULL;
}
}
return ret;
}
}
#ifdef SIMPLE
int ECP_cmp(EC_POINT *P, EC_POINT *Q, BIGNUM *p, BN_CTX *ctx)
/* return values:
/* return values:
-2 ... error
0 ... P = Q
0 ... P = Q
-1 ... P = -Q
1 ... else
*/
{
{
BIGNUM *n0, *n1, *n2, *n3, *n4;
int Pnorm, Qnorm;
......@@ -477,68 +486,70 @@ int ECP_cmp(EC_POINT *P, EC_POINT *Q, BIGNUM *p, BN_CTX *ctx)
Pnorm = (ECP_is_norm(P));
Qnorm = (ECP_is_norm(Q));
n0 = ctx->bn[ctx->tos];
n1 = ctx->bn[ctx->tos + 1];
n2 = ctx->bn[ctx->tos + 2];
n3 = ctx->bn[ctx->tos + 3];
n4 = ctx->bn[ctx->tos + 4];
ctx->tos += 5;
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
n2 = BN_CTX_get(ctx);
n3 = BN_CTX_get(ctx);
n4 = BN_CTX_get(ctx);
if (n4 == NULL) goto err;
if (Qnorm)
{
{
if (BN_copy(n1, P->X) == NULL) goto err; /* L1 = x_p */
if (BN_copy(n2, P->Y) == NULL) goto err; /* L2 = y_p */
}
}
else
{
{
if (!BN_sqr(n0, Q->Z, ctx)) goto err;
if (!BN_mod_mul(n1, P->X, n0, p, ctx)) goto err; /* L1 = x_p * z_q^2 */
if (!BN_mod_mul(n0, n0, Q->Z, p, ctx)) goto err;
if (!BN_mod_mul(n0, n0, Q->Z, p, ctx)) goto err;
if (!BN_mod_mul(n2, P->Y, n0, p, ctx)) goto err; /* L2 = y_p * z_q^3 */
}
}
if (Pnorm)
{
{
if (BN_copy(n3, Q->X) == NULL) goto err; /* L3 = x_q */
if (BN_copy(n4, Q->Y) == NULL) goto err; /* L4 = y_q */
}
}
else
{
{
if (!BN_sqr(n0, P->Z, ctx)) goto err;
if (!BN_mod_mul(n3, Q->X, n0, p, ctx)) goto err; /* L3 = x_q * z_p^2 */
if (!BN_mod_mul(n0, n0, P->Z, p, ctx)) goto err;
if (!BN_mod_mul(n0, n0, P->Z, p, ctx)) goto err;
if (!BN_mod_mul(n4, Q->Y, n0, p, ctx)) goto err; /* L4 = y_q * z_p^3 */
}
}
if (!BN_mod_sub(n0, n1, n3, p, ctx)) goto err; /* L5 = L1 - L3 */
if (!BN_is_zero(n0))
{
ctx->tos -= 5;
{
BN_CTX_end(ctx);
return 1;
}
}
if (!BN_mod_sub(n0, n2, n4, p, ctx)) goto err; /* L6 = L2 - L4 */
if (!BN_is_zero(n0))
{
ctx->tos -= 5;
{
BN_CTX_end(ctx);
return -1;
}
}
ctx->tos -= 5;
BN_CTX_end(ctx);
return 0;
err:
ctx->tos -= 5;
BN_CTX_end(ctx);
return -2;
}
}
int ECP_double(EC_POINT *R, EC_POINT *P, EC *E, BN_CTX *ctx)
/* R <- 2P (on E) */
{
{
BIGNUM *n0, *n1, *n2, *n3, *p;
int Pnorm, A0;
......@@ -556,71 +567,72 @@ int ECP_double(EC_POINT *R, EC_POINT *P, EC *E, BN_CTX *ctx)
assert(!P->is_in_mont);
if (ECP_is_infty(P))
{
{
if (!BN_zero(R->Z)) return 0;
return 1;
}
}
Pnorm = (ECP_is_norm(P));
A0 = (BN_is_zero(E->A));
n0 = ctx->bn[ctx->tos];
n1 = ctx->bn[ctx->tos + 1];
n2 = ctx->bn[ctx->tos + 2];
n3 = ctx->bn[ctx->tos + 3];
ctx->tos += 4;
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
n2 = BN_CTX_get(ctx);
n3 = BN_CTX_get(ctx);
if (n3 == NULL) goto err;
p = E->p;
/* L1 */
if (Pnorm || A0)
{
{
if (!BN_mod_sqr(n1, P->X, p, ctx)) goto err;
if (!BN_mul_word(n1, 3)) goto err;
if (!BN_mul_word(n1, 3)) goto err;
if (!A0) /* if A = 0: L1 = 3 * x^2 + a * z^4 = 3 * x ^2 */
if (!BN_mod_add(n1, n1, E->A, p, ctx)) goto err; /* L1 = 3 * x^2 + a * z^4 = 3 * x^2 + a */
}
}
else
{
{
if (!BN_mod_sqr(n0, P->Z, p, ctx)) goto err;
if (!BN_mod_mul(n0, n0, n0, p, ctx)) goto err;
if (!BN_mod_mul(n0, n0, E->A, p, ctx)) goto err;
if (!BN_mod_mul(n0, n0, E->A, p, ctx)) goto err;
if (!BN_mod_sqr(n1, P->X, p, ctx)) goto err;
if (!BN_mul_word(n1, 3)) goto err;
if (!BN_mul_word(n1, 3)) goto err;
if (!BN_mod_add(n1, n1, n0, p, ctx)) goto err; /* L1 = 3 * x^2 + a * z^4 */
}
}
/* Z */
if (Pnorm)
{
{
if (BN_copy(n0, P->Y) == NULL) goto err;
}
}
else
{
if (!BN_mod_mul(n0, P->Y, P->Z, p, ctx)) goto err;
}
if (!BN_lshift1(n0, n0)) goto err;
{
if (!BN_mod_mul(n0, P->Y, P->Z, p, ctx)) goto err;
}
if (!BN_lshift1(n0, n0)) goto err;
if (!BN_smod(R->Z, n0, p, ctx)) goto err; /* Z = 2 * y * z */
/* L2 */
if (!BN_mod_sqr(n3, P->Y, p, ctx)) goto err;
if (!BN_mod_mul(n2, P->X, n3, p, ctx)) goto err;
if (!BN_lshift(n2, n2, 2)) goto err;
if (!BN_mod_mul(n2, P->X, n3, p, ctx)) goto err;
if (!BN_lshift(n2, n2, 2)) goto err;
if (!BN_smod(n2, n2, p, ctx)) goto err; /* L2 = 4 * x * y^2 */
/* X */
if (!BN_lshift1(n0, n2)) goto err;
if (!BN_lshift1(n0, n2)) goto err;
if (!BN_mod_sqr(R->X, n1, p, ctx)) goto err;
if (!BN_mod_sub(R->X, R->X, n0, p, ctx)) goto err; /* X = L1^2 - 2 * L2 */
/* L3 */
if (!BN_mod_sqr(n0, n3, p, ctx)) goto err;
if (!BN_lshift(n3, n0, 3)) goto err;
if (!BN_lshift(n3, n0, 3)) goto err;
if (!BN_smod(n3, n3, p, ctx)) goto err; /* L3 = 8 * y^4 */
/* Y */
if (!BN_mod_sub(n0, n2, R->X, p, ctx)) goto err;
if (!BN_mod_mul(n0, n1, n0, p, ctx)) goto err;
if (!BN_mod_sub(n0, n2, R->X, p, ctx)) goto err;
if (!BN_mod_mul(n0, n1, n0, p, ctx)) goto err;
if (!BN_mod_sub(R->Y, n0, n3, p, ctx)) goto err; /* Y = L1 * (L2 - X) - L3 */
......@@ -628,17 +640,18 @@ int ECP_double(EC_POINT *R, EC_POINT *P, EC *E, BN_CTX *ctx)
if (!ECP_is_on_ec(R, E, ctx)) return 0;
#endif
ctx->tos -= 4;
BN_CTX_end(ctx);
return 1;
err:
ctx->tos -= 4;
BN_CTX_end(ctx);
return 0;
}
}
int ECP_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_CTX *ctx)
/* R <- P + Q (on E) */
{
{
BIGNUM *n0, *n1, *n2, *n3, *n4, *n5, *n6, *p;
int Pnorm, Qnorm;
......@@ -668,45 +681,47 @@ int ECP_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_CTX *ctx)
Pnorm = (ECP_is_norm(P));
Qnorm = (ECP_is_norm(Q));
n0 = ctx->bn[ctx->tos];
n1 = ctx->bn[ctx->tos + 1];
n2 = ctx->bn[ctx->tos + 2];
n3 = ctx->bn[ctx->tos + 3];
n4 = ctx->bn[ctx->tos + 4];
n5 = ctx->bn[ctx->tos + 5];
n6 = ctx->bn[ctx->tos + 6];
ctx->tos += 7;
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
n2 = BN_CTX_get(ctx);
n3 = BN_CTX_get(ctx);
n4 = BN_CTX_get(ctx);
n5 = BN_CTX_get(ctx);
n6 = BN_CTX_get(ctx);
if (n6 == NULL) goto err;
p = E->p;
/* L1; L2 */
if (Qnorm)
{
{
if (BN_copy(n1, P->X) == NULL) goto err; /* L1 = x_p */
if (BN_copy(n2, P->Y) == NULL) goto err; /* L2 = y_p */
}
}
else
{
{
if (!BN_sqr(n0, Q->Z, ctx)) goto err;
if (!BN_mod_mul(n1, P->X, n0, p, ctx)) goto err; /* L1 = x_p * z_q^2 */
if (!BN_mod_mul(n0, n0, Q->Z, p, ctx)) goto err;
if (!BN_mod_mul(n0, n0, Q->Z, p, ctx)) goto err;
if (!BN_mod_mul(n2, P->Y, n0, p, ctx)) goto err; /* L2 = y_p * z_q^3 */
}
}
/* L3; L4 */
if (Pnorm)
{
{
if (BN_copy(n3, Q->X) == NULL) goto err; /* L3 = x_q */
if (BN_copy(n4, Q->Y) == NULL) goto err; /* L4 = y_q */
}
}
else
{
{
if (!BN_sqr(n0, P->Z, ctx)) goto err;
if (!BN_mod_mul(n3, Q->X, n0, p, ctx)) goto err; /* L3 = x_q * z_p^2 */
if (!BN_mod_mul(n0, n0, P->Z, p, ctx)) goto err;
if (!BN_mod_mul(n0, n0, P->Z, p, ctx)) goto err;
if (!BN_mod_mul(n4, Q->Y, n0, p, ctx)) goto err; /* L4 = y_q * z_p^3 */
}
}
/* L5; L6 */
if (!BN_mod_sub(n5, n1, n3, p, ctx)) goto err; /* L5 = L1 - L3 */
......@@ -714,39 +729,39 @@ int ECP_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_CTX *ctx)
/* pata */
if (BN_is_zero(n5))
{
if (BN_is_zero(n6)) /* P = Q => P + Q = 2P */
{
ctx->tos -= 7;
if (BN_is_zero(n6)) /* P = Q => P + Q = 2P */
{
BN_CTX_end(ctx);
return ECP_double(R, P, E, ctx);
}
}
else /* P = -Q => P + Q = \infty */
{
ctx->tos -= 7;
{
BN_CTX_end(ctx);
if (!BN_zero(R->Z)) return 0;
return 1;
}
}
}
/* L7; L8 */
if (!BN_mod_add(n1, n1, n3, p, ctx)) goto err; /* L7 = L1 + L3 */
if (!BN_mod_add(n2, n2, n4, p, ctx)) goto err; /* L8 = L2 + L4 */
/* Z */
if (Pnorm)
{
if (Pnorm)
{
if (BN_copy(n0, Q->Z) == NULL) goto err;
}
}
else
{
{
if (!BN_mod_mul(n0, P->Z, Q->Z, p, ctx)) goto err;
}
}
if (!BN_mod_mul(R->Z, n0, n5, p, ctx)) goto err; /* Z = z_p * z_q * L_5 */
/* X */
if (!BN_mod_sqr(n0, n6, p, ctx)) goto err;
if (!BN_mod_sqr(n4, n5, p, ctx)) goto err;
if (!BN_mod_mul(n3, n1, n4, p, ctx)) goto err;
if (!BN_mod_mul(n3, n1, n4, p, ctx)) goto err;
if (!BN_mod_sub(R->X, n0, n3, p, ctx)) goto err; /* X = L6^2 - L5^2 * L7 */
/* L9 */
......@@ -754,10 +769,10 @@ int ECP_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_CTX *ctx)
if (!BN_mod_sub(n0, n3, n0, p, ctx)) goto err; /* L9 = L5^2 * L7 - 2X */
/* Y */
if (!BN_mod_mul(n0, n0, n6, p, ctx)) goto err;
if (!BN_mod_mul(n5, n4, n5, p, ctx)) goto err;
if (!BN_mod_mul(n1, n2, n5, p, ctx)) goto err;
if (!BN_mod_sub(n0, n0, n1, p, ctx)) goto err;
if (!BN_mod_mul(n0, n0, n6, p, ctx)) goto err;
if (!BN_mod_mul(n5, n4, n5, p, ctx)) goto err;
if (!BN_mod_mul(n1, n2, n5, p, ctx)) goto err;
if (!BN_mod_sub(n0, n0, n1, p, ctx)) goto err;
if (!BN_mod_mul(R->Y, n0, E->h, p, ctx)) goto err; /* Y = (L6 * L9 - L8 * L5^3) / 2 */
......@@ -766,17 +781,17 @@ int ECP_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_CTX *ctx)
if (!ECP_is_on_ec(R, E, ctx)) return 0;
#endif
ctx->tos -= 7;
BN_CTX_end(ctx);
return 1;
err:
ctx->tos -= 7;
BN_CTX_end(cxt);
return 0;
}
}
ECP_PRECOMPUTE *ECP_precompute(int r, EC_POINT *P, EC *E, BN_CTX *ctx)
{
{
ECP_PRECOMPUTE *ret;
EC_POINT *P2;
int i, max;
......@@ -807,11 +822,11 @@ ECP_PRECOMPUTE *ECP_precompute(int r, EC_POINT *P, EC *E, BN_CTX *ctx)
/* P_i = P_(i-1) + P2 */
for (i = 1; i < max; i++)
{
{
if ((ret->Pi[i] = ECP_new()) == NULL) goto err;
if (!ECP_add(ret->Pi[i], P2, ret->Pi[i - 1], E, ctx)) goto err;
}
}
ret->r = r;
ECP_clear_free(P2);
......@@ -822,11 +837,12 @@ err:
ECP_clear_free(P2);
ECP_clear_free_precompute(ret);
return NULL;
}
}
int ECP_multiply(EC_POINT *R, BIGNUM *k, ECP_PRECOMPUTE *prec, EC *E, BN_CTX *ctx)
/* R = [k]P */
{
{
int j;
int t, nextw, h, r;
......@@ -845,11 +861,11 @@ int ECP_multiply(EC_POINT *R, BIGNUM *k, ECP_PRECOMPUTE *prec, EC *E, BN_CTX *ct
assert(!E->is_in_mont);
if (BN_is_zero(k))
{
{
if (!BN_zero(R->Z)) return 0;
R->is_in_mont = 0;
return 1;
}
}
j = BN_num_bits(k);
......@@ -861,59 +877,57 @@ int ECP_multiply(EC_POINT *R, BIGNUM *k, ECP_PRECOMPUTE *prec, EC *E, BN_CTX *ct
R->is_in_mont = 0;
while(j >= 0)
{
if (!BN_is_bit_set(k, j))
{
if (!BN_is_bit_set(k, j))
{
if (!ECP_double(R, R, E, ctx)) return 0;
j--;
}
}
else
{
{
nextw = j - r;
if (nextw < -1) nextw = -1;
t = nextw + 1;
while(!BN_is_bit_set(k, t))
{
t++;
}
if (!ECP_double(R, R, E, ctx)) return 0;
j--;
if (j < t) h = 0;
else
{
else
{
h = 1;
for(; j > t; j--)
{
{
h <<= 1;
if (BN_is_bit_set(k, j)) h++;
if (!ECP_double(R, R, E, ctx)) return 0;
}
}
if (!ECP_double(R, R, E, ctx)) return 0;
j--;
}
}
if (!ECP_add(R, R, prec->Pi[h], E, ctx)) return 0;
for (; j > nextw; j--)
{
{
if (!ECP_double(R, R, E, ctx)) return 0;
}
}
}
}
}
return 1;
}
}
#endif /* SIMPLE */
#ifdef MONTGOMERY
int ECP_to_montgomery(EC_POINT *P, BN_MONTGOMERY *mont, BN_CTX *ctx)
{
{
assert(P != NULL);
assert(P->X != NULL && P->Y != NULL && P->Z != NULL);
......@@ -935,11 +949,11 @@ int ECP_to_montgomery(EC_POINT *P, BN_MONTGOMERY *mont, BN_CTX *ctx)
P->is_in_mont = 1;
return 1;
}
}
int ECP_from_montgomery(EC_POINT *P, BN_MONTGOMERY *mont, BN_CTX *ctx)
{
{
assert(P != NULL);
assert(P->X != NULL && P->Y != NULL && P->Z != NULL);
......@@ -957,16 +971,17 @@ int ECP_from_montgomery(EC_POINT *P, BN_MONTGOMERY *mont, BN_CTX *ctx)
P->is_in_mont = 0;
return 1;
}
}
int ECP_mont_cmp(EC_POINT *P, EC_POINT *Q, BN_MONTGOMERY *mont, BN_CTX *ctx)
/* return values:
int ECP_mont_cmp(EC_POINT *P, EC_POINT *Q, BN_MONTGOMERY *mont, BN_CTX *ctx)
/* return values:
-2 ... error
0 ... P = Q
0 ... P = Q
-1 ... P = -Q
1 ... else
*/
{
{
BIGNUM *n0, *n1, *n2, *n3, *n4, *n5, *p;
assert(P != NULL);
......@@ -991,13 +1006,15 @@ int ECP_mont_cmp(EC_POINT *P, EC_POINT *Q, BN_MONTGOMERY *mont, BN_CTX *ctx)
if (ECP_is_infty(P) || ECP_is_infty(Q)) return 1;
n0 = ctx->bn[ctx->tos];
n1 = ctx->bn[ctx->tos + 1];
n2 = ctx->bn[ctx->tos + 2];
n3 = ctx->bn[ctx->tos + 3];
n4 = ctx->bn[ctx->tos + 4];
n5 = ctx->bn[ctx->tos + 5];
ctx->tos += 6;
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
n2 = BN_CTX_get(ctx);
n3 = BN_CTX_get(ctx);
n4 = BN_CTX_get(ctx);
n5 = BN_CTX_get(ctx);
if (n5 == 0) goto err;
p = mont->p;
......@@ -1005,44 +1022,44 @@ int ECP_mont_cmp(EC_POINT *P, EC_POINT *Q, BN_MONTGOMERY *mont, BN_CTX *ctx)
if (!BN_mont_mod_mul(n5, Q->Z, Q->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n1, P->X, n5, mont, ctx)) goto err; /* L1 = x_p * z_q^2 */
if (!BN_mont_mod_mul(n0, n5, Q->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n0, n5, Q->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n2, P->Y, n0, mont, ctx)) goto err; /* L2 = y_p * z_q^3 */
if (!BN_mont_mod_mul(n5, P->Z, P->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n3, Q->X, n5, mont, ctx)) goto err; /* L3 = x_q * z_p^2 */
if (!BN_mont_mod_mul(n0, n5, P->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n0, n5, P->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n4, Q->Y, n0, mont, ctx)) goto err; /* L4 = y_q * z_p^3 */
if (!BN_mod_sub_quick(n0, n1, n3, p)) goto err; /* L5 = L1 - L3 */
if (!BN_is_zero(n0))
{
ctx->tos -= 6;
{
BN_CTX_end(ctx);
return 1;
}
}
if (!BN_mod_sub_quick(n0, n2, n4, p)) goto err; /* L6 = L2 - L4 */
if (!BN_is_zero(n0))
{
ctx->tos -= 6;
{
BN_CTX_end(ctx);
return -1;
}
}
ctx->tos -= 6;
BN_CTX_end(ctx);
return 0;
err:
ctx->tos -= 6;
BN_CTX_end(ctx);
return -2;
}
}
int ECP_mont_double(EC_POINT *R, EC_POINT *P, EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx)
/* R <- 2P (on E) */
{
{
BIGNUM *n0, *n1, *n2, *n3, *p;
assert(P != NULL);
......@@ -1059,47 +1076,47 @@ int ECP_mont_double(EC_POINT *R, EC_POINT *P, EC *E, BN_MONTGOMERY *mont, BN_CTX
if (!P->is_in_mont)
if (!ECP_to_montgomery(P, mont, ctx)) return 0;
if (!E->is_in_mont)
if (!E->is_in_mont)
if (!EC_to_montgomery(E, mont, ctx)) return 0;
R->is_in_mont = 1;
if (ECP_is_infty(P))
{
{
if (!BN_zero(R->Z)) return 0;
return 1;
}
}
n0 = ctx->bn[ctx->tos];
n1 = ctx->bn[ctx->tos + 1];
n2 = ctx->bn[ctx->tos + 2];
n3 = ctx->bn[ctx->tos + 3];
ctx->tos += 4;
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
n2 = BN_CTX_get(ctx);
n3 = BN_CTX_get(ctx);
if (n3 == 0) goto err;
p = E->p;
/* L1 */
if (!BN_mont_mod_mul(n0, P->Z, P->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n2, n0, n0, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n0, n2, E->A, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n0, n2, E->A, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n1, P->X, P->X, mont, ctx)) goto err;
if (!BN_mod_lshift1_quick(n2, n1, p)) goto err;
if (!BN_mod_add_quick(n1, n1, n2, p)) goto err;
if (!BN_mod_add_quick(n1, n1, n0, p)) goto err; /* L1 = 3 * x^2 + a * z^4 */
/* Z */
if (!BN_mont_mod_mul(n0, P->Y, P->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n0, P->Y, P->Z, mont, ctx)) goto err;
if (!BN_mod_lshift1_quick(R->Z, n0, p)) goto err; /* Z = 2 * y * z */
/* L2 */
if (!BN_mont_mod_mul(n3, P->Y, P->Y, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n2, P->X, n3, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n2, P->X, n3, mont, ctx)) goto err;
if (!BN_mod_lshift_quick(n2, n2, 2, p)) goto err; /* L2 = 4 * x * y^2 */
/* X */
if (!BN_mod_lshift1_quick(n0, n2, p)) goto err;
if (!BN_mod_lshift1_quick(n0, n2, p)) goto err;
if (!BN_mont_mod_mul(R->X, n1, n1, mont, ctx)) goto err;
if (!BN_mod_sub_quick(R->X, R->X, n0, p)) goto err; /* X = L1^2 - 2 * L2 */
......@@ -1109,22 +1126,22 @@ int ECP_mont_double(EC_POINT *R, EC_POINT *P, EC *E, BN_MONTGOMERY *mont, BN_CTX
/* Y */
if (!BN_mod_sub_quick(n2, n2, R->X, p)) goto err;
if (!BN_mont_mod_mul(n0, n1, n2, mont, ctx)) goto err;
if (!BN_mod_sub_quick(n2, n2, R->X, p)) goto err;
if (!BN_mont_mod_mul(n0, n1, n2, mont, ctx)) goto err;
if (!BN_mod_sub_quick(R->Y, n0, n3, p)) goto err; /* Y = L1 * (L2 - X) - L3 */
ctx->tos -= 4;
BN_CTX_end(ctx);
return 1;
err:
ctx->tos -= 4;
BN_CTX_end(ctx);
return 0;
}
}
int ECP_mont_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx)
/* R <- P + Q (on E) */
{
{
BIGNUM *n0, *n1, *n2, *n3, *n4, *n5, *n6, *p;
assert(P != NULL);
......@@ -1148,7 +1165,7 @@ int ECP_mont_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_MONTGOMERY *mo
if (!P->is_in_mont)
if (!ECP_to_montgomery(P, mont, ctx)) return 0;
if (!E->is_in_mont)
if (!E->is_in_mont)
if (!EC_to_montgomery(E, mont, ctx)) return 0;
if (P == Q) return ECP_mont_double(R, P, E, mont, ctx);
......@@ -1157,14 +1174,15 @@ int ECP_mont_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_MONTGOMERY *mo
if (ECP_is_infty(Q)) return ECP_copy(R, P);
n0 = ctx->bn[ctx->tos];
n1 = ctx->bn[ctx->tos + 1];
n2 = ctx->bn[ctx->tos + 2];
n3 = ctx->bn[ctx->tos + 3];
n4 = ctx->bn[ctx->tos + 4];
n5 = ctx->bn[ctx->tos + 5];
n6 = ctx->bn[ctx->tos + 6];
ctx->tos += 7;
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
n2 = BN_CTX_get(ctx);
n3 = BN_CTX_get(ctx);
n4 = BN_CTX_get(ctx);
n5 = BN_CTX_get(ctx);
n6 = BN_CTX_get(ctx);
if (n6 == NULL) goto err;
p = E->p;
......@@ -1175,7 +1193,7 @@ int ECP_mont_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_MONTGOMERY *mo
if (!BN_mont_mod_mul(n6, Q->Z, Q->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n1, P->X, n6, mont, ctx)) goto err; /* L1 = x_p * z_q^2 */
if (!BN_mont_mod_mul(n0, n6, Q->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n0, n6, Q->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n2, P->Y, n0, mont, ctx)) goto err; /* L2 = y_p * z_q^3 */
......@@ -1183,7 +1201,7 @@ int ECP_mont_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_MONTGOMERY *mo
if (!BN_mont_mod_mul(n6, P->Z, P->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n3, Q->X, n6, mont, ctx)) goto err; /* L3 = x_q * z_p^2 */
if (!BN_mont_mod_mul(n0, n6, P->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n0, n6, P->Z, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n4, Q->Y, n0, mont, ctx)) goto err; /* L4 = y_q * z_p^3 */
......@@ -1194,19 +1212,19 @@ int ECP_mont_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_MONTGOMERY *mo
/* pata */
if (BN_is_zero(n5))
{
if (BN_is_zero(n6)) /* P = Q => P + Q = 2P */
{
ctx->tos -= 7;
if (BN_is_zero(n6)) /* P = Q => P + Q = 2P */
{
BN_CTX_end(ctx);
return ECP_mont_double(R, P, E, mont, ctx);
}
}
else /* P = -Q => P + Q = \infty */
{
ctx->tos -= 7;
{
BN_CTX_end(ctx);
if (!BN_zero(R->Z)) return 0;
return 1;
}
}
}
/* L7; L8 */
if (!BN_mod_add_quick(n1, n1, n3, p)) goto err; /* L7 = L1 + L3 */
......@@ -1221,7 +1239,7 @@ int ECP_mont_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_MONTGOMERY *mo
/* X */
if (!BN_mont_mod_mul(n0, n6, n6, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n4, n5, n5, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n3, n1, n4, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n3, n1, n4, mont, ctx)) goto err;
if (!BN_mod_sub_quick(R->X, n0, n3, p)) goto err; /* X = L6^2 - L5^2 * L7 */
......@@ -1231,24 +1249,24 @@ int ECP_mont_add(EC_POINT *R, EC_POINT *P, EC_POINT *Q, EC *E, BN_MONTGOMERY *mo
/* Y */
if (!BN_mont_mod_mul(n0, n3, n6, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n6, n4, n5, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n1, n2, n6, mont, ctx)) goto err;
if (!BN_mod_sub_quick(n0, n0, n1, p)) goto err;
if (!BN_mont_mod_mul(n0, n3, n6, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n6, n4, n5, mont, ctx)) goto err;
if (!BN_mont_mod_mul(n1, n2, n6, mont, ctx)) goto err;
if (!BN_mod_sub_quick(n0, n0, n1, p)) goto err;
if (!BN_mont_mod_mul(R->Y, n0, E->h, mont, ctx)) goto err; /* Y = (L6 * L9 - L8 * L5^3) / 2 */
ctx->tos -= 7;
BN_CTX_end(ctx);
return 1;
err:
ctx->tos -= 7;
BN_CTX_end(ctx);
return 0;
}
}
ECP_PRECOMPUTE *ECP_mont_precompute(int r, EC_POINT *P, EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx)
{
{
ECP_PRECOMPUTE *ret;
EC_POINT *P2;
int i, max;
......@@ -1262,7 +1280,7 @@ ECP_PRECOMPUTE *ECP_mont_precompute(int r, EC_POINT *P, EC *E, BN_MONTGOMERY *mo
if (!P->is_in_mont)
if (!ECP_to_montgomery(P, mont, ctx)) return 0;
if (!E->is_in_mont)
if (!E->is_in_mont)
if (!EC_to_montgomery(E, mont, ctx)) return 0;
ret=(ECP_PRECOMPUTE *)malloc(sizeof(ECP_PRECOMPUTE));
......@@ -1287,10 +1305,10 @@ ECP_PRECOMPUTE *ECP_mont_precompute(int r, EC_POINT *P, EC *E, BN_MONTGOMERY *mo
/* P_i = P_(i-1) + P2 */
for (i = 1; i < max; i++)
{
{
if ((ret->Pi[i] = ECP_new()) == NULL) goto err;
if (!ECP_mont_add(ret->Pi[i], P2, ret->Pi[i - 1], E, mont, ctx)) goto err;
}
}
ret->r = r;
ECP_clear_free(P2);
......@@ -1301,11 +1319,12 @@ err:
ECP_clear_free(P2);
ECP_clear_free_precompute(ret);
return NULL;
}
}
int ECP_mont_multiply(EC_POINT *R, BIGNUM *k, ECP_PRECOMPUTE *prec, EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx)
/* R = [k]P P = prec->Pi[0]*/
{
{
int j;
int t, nextw, h, r;
......@@ -1324,16 +1343,16 @@ int ECP_mont_multiply(EC_POINT *R, BIGNUM *k, ECP_PRECOMPUTE *prec, EC *E, BN_MO
assert(mont != NULL);
assert(mont->p != NULL);
if (!E->is_in_mont)
if (!E->is_in_mont)
if (!EC_to_montgomery(E, mont, ctx)) return 0;
if (BN_is_zero(k))
{
{
if (!BN_zero(R->Z)) return 0;
R->is_in_mont = 1;
return 1;
}
}
j = BN_num_bits(k);
j--;
......@@ -1344,56 +1363,54 @@ int ECP_mont_multiply(EC_POINT *R, BIGNUM *k, ECP_PRECOMPUTE *prec, EC *E, BN_MO
R->is_in_mont = 1;
while(j >= 0)
{
if (!BN_is_bit_set(k, j))
{
if (!BN_is_bit_set(k, j))
{
if (!ECP_mont_double(R, R, E, mont, ctx)) return 0;
j--;
}
}
else
{
{
nextw = j - r;
if (nextw < -1) nextw = -1;
t = nextw + 1;
while(!BN_is_bit_set(k, t))
{
t++;
}
if (!ECP_mont_double(R, R, E, mont, ctx)) return 0;
j--;
if (j < t) h = 0;
else
{
else
{
h = 1;
for(; j > t; j--)
{
{
h <<= 1;
if (BN_is_bit_set(k, j)) h++;
if (!ECP_mont_double(R, R, E, mont, ctx)) return 0;
}
}
if (!ECP_mont_double(R, R, E, mont, ctx)) return 0;
j--;
}
}
if (!ECP_mont_add(R, R, prec->Pi[h], E, mont, ctx)) return 0;
for (; j > nextw; j--)
{
{
if (!ECP_mont_double(R, R, E, mont, ctx)) return 0;
}
}
}
}
}
return 1;
}
}
int ECP_mont_multiply2(EC_POINT *R, BIGNUM *k, EC_POINT *P, EC *E, BN_MONTGOMERY *mont, BN_CTX *ctx)
/* R = [k]P */
{
{
int j, hj, kj;
BIGNUM *h;
EC_POINT *mP;
......@@ -1415,19 +1432,19 @@ int ECP_mont_multiply2(EC_POINT *R, BIGNUM *k, EC_POINT *P, EC *E, BN_MONTGOMERY
assert(mont != NULL);
assert(mont->p != NULL);
if (!E->is_in_mont)
if (!E->is_in_mont)
if (!EC_to_montgomery(E, mont, ctx)) return 0;
if (!P->is_in_mont)
if (!P->is_in_mont)
if (!ECP_to_montgomery(P, mont, ctx)) return 0;
if (BN_is_zero(k))
{
{
if (!BN_zero(R->Z)) return 0;
R->is_in_mont = 1;
return 1;
}
}
if ((h = BN_dup(k)) == NULL) return 0;
......@@ -1438,7 +1455,7 @@ int ECP_mont_multiply2(EC_POINT *R, BIGNUM *k, EC_POINT *P, EC *E, BN_MONTGOMERY
if ((mP = ECP_mont_minus(P, mont)) == NULL) goto err;
for(j = BN_num_bits(h) - 2; j > 0; j--)
{
{
if (!ECP_mont_double(R, R, E, mont, ctx)) goto err;
kj = BN_is_bit_set(k, j);
hj = BN_is_bit_set(h, j);
......@@ -1446,7 +1463,7 @@ int ECP_mont_multiply2(EC_POINT *R, BIGNUM *k, EC_POINT *P, EC *E, BN_MONTGOMERY
if (!ECP_mont_add(R, R, P, E, mont, ctx)) goto err;
if (hj == 0 && kj == 1)
if (!ECP_mont_add(R, R, mP, E, mont, ctx)) goto err;
}
}
if (h != NULL) BN_free(h);
if (mP != NULL) ECP_clear_free(mP);
......@@ -1456,6 +1473,6 @@ err:
if (h != NULL) BN_free(h);
if (mP != NULL) ECP_clear_free(mP);
return 0;
}
}
#endif /* MONTGOMERY */
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