Update pre9
This commit is contained in:
+225
-7
@@ -65,9 +65,9 @@ const EC_METHOD *EC_GFp_simple_method(void)
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ecdh_simple_compute_key,
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0, /* field_inverse_mod_ord */
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ec_GFp_simple_blind_coordinates,
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0, /* ladder_pre */
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0, /* ladder_step */
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0 /* ladder_post */
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ec_GFp_simple_ladder_pre,
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ec_GFp_simple_ladder_step,
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ec_GFp_simple_ladder_post
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};
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return &ret;
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@@ -1181,9 +1181,9 @@ int ec_GFp_simple_make_affine(const EC_GROUP *group, EC_POINT *point,
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if (y == NULL)
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goto err;
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if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx))
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if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx))
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goto err;
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if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, ctx))
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if (!EC_POINT_set_affine_coordinates(group, point, x, y, ctx))
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goto err;
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if (!point->Z_is_one) {
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ECerr(EC_F_EC_GFP_SIMPLE_MAKE_AFFINE, ERR_R_INTERNAL_ERROR);
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@@ -1418,6 +1418,224 @@ int ec_GFp_simple_blind_coordinates(const EC_GROUP *group, EC_POINT *p,
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ret = 1;
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err:
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BN_CTX_end(ctx);
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return ret;
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BN_CTX_end(ctx);
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return ret;
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}
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/*-
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* Set s := p, r := 2p.
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*
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* For doubling we use Formula 3 from Izu-Takagi "A fast parallel elliptic curve
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* multiplication resistant against side channel attacks" appendix, as described
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* at
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* https://hyperelliptic.org/EFD/g1p/auto-shortw-xz.html#doubling-dbl-2002-it-2
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*
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* The input point p will be in randomized Jacobian projective coords:
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* x = X/Z**2, y=Y/Z**3
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*
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* The output points p, s, and r are converted to standard (homogeneous)
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* projective coords:
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* x = X/Z, y=Y/Z
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*/
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int ec_GFp_simple_ladder_pre(const EC_GROUP *group,
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EC_POINT *r, EC_POINT *s,
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EC_POINT *p, BN_CTX *ctx)
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{
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BIGNUM *t1, *t2, *t3, *t4, *t5, *t6 = NULL;
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t1 = r->Z;
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t2 = r->Y;
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t3 = s->X;
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t4 = r->X;
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t5 = s->Y;
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t6 = s->Z;
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/* convert p: (X,Y,Z) -> (XZ,Y,Z**3) */
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if (!group->meth->field_mul(group, p->X, p->X, p->Z, ctx)
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|| !group->meth->field_sqr(group, t1, p->Z, ctx)
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|| !group->meth->field_mul(group, p->Z, p->Z, t1, ctx)
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/* r := 2p */
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|| !group->meth->field_sqr(group, t2, p->X, ctx)
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|| !group->meth->field_sqr(group, t3, p->Z, ctx)
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|| !group->meth->field_mul(group, t4, t3, group->a, ctx)
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|| !BN_mod_sub_quick(t5, t2, t4, group->field)
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|| !BN_mod_add_quick(t2, t2, t4, group->field)
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|| !group->meth->field_sqr(group, t5, t5, ctx)
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|| !group->meth->field_mul(group, t6, t3, group->b, ctx)
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|| !group->meth->field_mul(group, t1, p->X, p->Z, ctx)
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|| !group->meth->field_mul(group, t4, t1, t6, ctx)
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|| !BN_mod_lshift_quick(t4, t4, 3, group->field)
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/* r->X coord output */
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|| !BN_mod_sub_quick(r->X, t5, t4, group->field)
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|| !group->meth->field_mul(group, t1, t1, t2, ctx)
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|| !group->meth->field_mul(group, t2, t3, t6, ctx)
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|| !BN_mod_add_quick(t1, t1, t2, group->field)
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/* r->Z coord output */
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|| !BN_mod_lshift_quick(r->Z, t1, 2, group->field)
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|| !EC_POINT_copy(s, p))
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return 0;
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r->Z_is_one = 0;
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s->Z_is_one = 0;
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p->Z_is_one = 0;
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return 1;
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}
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/*-
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* Differential addition-and-doubling using Eq. (8) and (10) from Izu-Takagi
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* "A fast parallel elliptic curve multiplication resistant against side channel
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* attacks", as described at
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* https://hyperelliptic.org/EFD/g1p/auto-shortw-xz.html#ladder-ladd-2002-it-3
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*/
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int ec_GFp_simple_ladder_step(const EC_GROUP *group,
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EC_POINT *r, EC_POINT *s,
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EC_POINT *p, BN_CTX *ctx)
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{
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int ret = 0;
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BIGNUM *t0, *t1, *t2, *t3, *t4, *t5, *t6, *t7 = NULL;
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BN_CTX_start(ctx);
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t0 = BN_CTX_get(ctx);
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t1 = BN_CTX_get(ctx);
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t2 = BN_CTX_get(ctx);
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t3 = BN_CTX_get(ctx);
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t4 = BN_CTX_get(ctx);
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t5 = BN_CTX_get(ctx);
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t6 = BN_CTX_get(ctx);
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t7 = BN_CTX_get(ctx);
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if (t7 == NULL
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|| !group->meth->field_mul(group, t0, r->X, s->X, ctx)
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|| !group->meth->field_mul(group, t1, r->Z, s->Z, ctx)
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|| !group->meth->field_mul(group, t2, r->X, s->Z, ctx)
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|| !group->meth->field_mul(group, t3, r->Z, s->X, ctx)
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|| !group->meth->field_mul(group, t4, group->a, t1, ctx)
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|| !BN_mod_sub_quick(t4, t0, t4, group->field)
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|| !BN_mod_add_quick(t5, t3, t2, group->field)
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|| !group->meth->field_sqr(group, t4, t4, ctx)
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|| !group->meth->field_mul(group, t5, t1, t5, ctx)
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|| !BN_mod_lshift_quick(t0, group->b, 2, group->field)
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|| !group->meth->field_mul(group, t5, t0, t5, ctx)
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|| !BN_mod_sub_quick(t5, t4, t5, group->field)
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/* s->X coord output */
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|| !group->meth->field_mul(group, s->X, t5, p->Z, ctx)
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|| !BN_mod_sub_quick(t3, t2, t3, group->field)
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|| !group->meth->field_sqr(group, t3, t3, ctx)
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/* s->Z coord output */
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|| !group->meth->field_mul(group, s->Z, t3, p->X, ctx)
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|| !group->meth->field_sqr(group, t2, r->X, ctx)
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|| !group->meth->field_sqr(group, t4, r->Z, ctx)
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|| !group->meth->field_mul(group, t1, t4, group->a, ctx)
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|| !BN_mod_add_quick(t6, r->X, r->Z, group->field)
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|| !group->meth->field_sqr(group, t6, t6, ctx)
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|| !BN_mod_sub_quick(t6, t6, t2, group->field)
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|| !BN_mod_sub_quick(t6, t6, t4, group->field)
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|| !BN_mod_sub_quick(t7, t2, t1, group->field)
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|| !group->meth->field_sqr(group, t7, t7, ctx)
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|| !group->meth->field_mul(group, t5, t4, t6, ctx)
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|| !group->meth->field_mul(group, t5, t0, t5, ctx)
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/* r->X coord output */
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|| !BN_mod_sub_quick(r->X, t7, t5, group->field)
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|| !BN_mod_add_quick(t2, t2, t1, group->field)
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|| !group->meth->field_sqr(group, t5, t4, ctx)
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|| !group->meth->field_mul(group, t5, t5, t0, ctx)
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|| !group->meth->field_mul(group, t6, t6, t2, ctx)
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|| !BN_mod_lshift1_quick(t6, t6, group->field)
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/* r->Z coord output */
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|| !BN_mod_add_quick(r->Z, t5, t6, group->field))
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goto err;
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ret = 1;
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err:
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BN_CTX_end(ctx);
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return ret;
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}
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/*-
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* Recovers the y-coordinate of r using Eq. (8) from Brier-Joye, "Weierstrass
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* Elliptic Curves and Side-Channel Attacks", modified to work in projective
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* coordinates and return r in Jacobian projective coordinates.
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*
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* X4 = two*Y1*X2*Z3*Z2*Z1;
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* Y4 = two*b*Z3*SQR(Z2*Z1) + Z3*(a*Z2*Z1+X1*X2)*(X1*Z2+X2*Z1) - X3*SQR(X1*Z2-X2*Z1);
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* Z4 = two*Y1*Z3*SQR(Z2)*Z1;
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*
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* Z4 != 0 because:
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* - Z1==0 implies p is at infinity, which would have caused an early exit in
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* the caller;
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* - Z2==0 implies r is at infinity (handled by the BN_is_zero(r->Z) branch);
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* - Z3==0 implies s is at infinity (handled by the BN_is_zero(s->Z) branch);
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* - Y1==0 implies p has order 2, so either r or s are infinity and handled by
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* one of the BN_is_zero(...) branches.
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*/
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int ec_GFp_simple_ladder_post(const EC_GROUP *group,
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EC_POINT *r, EC_POINT *s,
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EC_POINT *p, BN_CTX *ctx)
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{
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int ret = 0;
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BIGNUM *t0, *t1, *t2, *t3, *t4, *t5, *t6 = NULL;
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if (BN_is_zero(r->Z))
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return EC_POINT_set_to_infinity(group, r);
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if (BN_is_zero(s->Z)) {
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/* (X,Y,Z) -> (XZ,YZ**2,Z) */
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if (!group->meth->field_mul(group, r->X, p->X, p->Z, ctx)
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|| !group->meth->field_sqr(group, r->Z, p->Z, ctx)
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|| !group->meth->field_mul(group, r->Y, p->Y, r->Z, ctx)
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|| !BN_copy(r->Z, p->Z)
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|| !EC_POINT_invert(group, r, ctx))
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return 0;
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return 1;
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}
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BN_CTX_start(ctx);
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t0 = BN_CTX_get(ctx);
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t1 = BN_CTX_get(ctx);
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t2 = BN_CTX_get(ctx);
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t3 = BN_CTX_get(ctx);
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t4 = BN_CTX_get(ctx);
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t5 = BN_CTX_get(ctx);
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t6 = BN_CTX_get(ctx);
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if (t6 == NULL
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|| !BN_mod_lshift1_quick(t0, p->Y, group->field)
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|| !group->meth->field_mul(group, t1, r->X, p->Z, ctx)
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|| !group->meth->field_mul(group, t2, r->Z, s->Z, ctx)
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|| !group->meth->field_mul(group, t2, t1, t2, ctx)
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|| !group->meth->field_mul(group, t3, t2, t0, ctx)
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|| !group->meth->field_mul(group, t2, r->Z, p->Z, ctx)
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|| !group->meth->field_sqr(group, t4, t2, ctx)
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|| !BN_mod_lshift1_quick(t5, group->b, group->field)
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|| !group->meth->field_mul(group, t4, t4, t5, ctx)
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|| !group->meth->field_mul(group, t6, t2, group->a, ctx)
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|| !group->meth->field_mul(group, t5, r->X, p->X, ctx)
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|| !BN_mod_add_quick(t5, t6, t5, group->field)
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|| !group->meth->field_mul(group, t6, r->Z, p->X, ctx)
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|| !BN_mod_add_quick(t2, t6, t1, group->field)
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|| !group->meth->field_mul(group, t5, t5, t2, ctx)
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|| !BN_mod_sub_quick(t6, t6, t1, group->field)
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|| !group->meth->field_sqr(group, t6, t6, ctx)
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|| !group->meth->field_mul(group, t6, t6, s->X, ctx)
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|| !BN_mod_add_quick(t4, t5, t4, group->field)
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|| !group->meth->field_mul(group, t4, t4, s->Z, ctx)
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|| !BN_mod_sub_quick(t4, t4, t6, group->field)
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|| !group->meth->field_sqr(group, t5, r->Z, ctx)
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|| !group->meth->field_mul(group, r->Z, p->Z, s->Z, ctx)
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|| !group->meth->field_mul(group, r->Z, t5, r->Z, ctx)
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|| !group->meth->field_mul(group, r->Z, r->Z, t0, ctx)
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/* t3 := X, t4 := Y */
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/* (X,Y,Z) -> (XZ,YZ**2,Z) */
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|| !group->meth->field_mul(group, r->X, t3, r->Z, ctx)
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|| !group->meth->field_sqr(group, t3, r->Z, ctx)
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|| !group->meth->field_mul(group, r->Y, t4, t3, ctx))
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goto err;
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ret = 1;
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err:
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BN_CTX_end(ctx);
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return ret;
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}
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