diff options
Diffstat (limited to 'deps/openssl/openssl/crypto/ec/ec2_smpl.c')
| -rw-r--r-- | deps/openssl/openssl/crypto/ec/ec2_smpl.c | 370 |
1 files changed, 282 insertions, 88 deletions
diff --git a/deps/openssl/openssl/crypto/ec/ec2_smpl.c b/deps/openssl/openssl/crypto/ec/ec2_smpl.c index cdacce61ac..87f7ce5691 100644 --- a/deps/openssl/openssl/crypto/ec/ec2_smpl.c +++ b/deps/openssl/openssl/crypto/ec/ec2_smpl.c @@ -1,5 +1,6 @@ /* * Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved. + * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved * * Licensed under the OpenSSL license (the "License"). You may not use * this file except in compliance with the License. You can obtain a copy @@ -7,21 +8,6 @@ * https://www.openssl.org/source/license.html */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * - * The Elliptic Curve Public-Key Crypto Library (ECC Code) included - * herein is developed by SUN MICROSYSTEMS, INC., and is contributed - * to the OpenSSL project. - * - * The ECC Code is licensed pursuant to the OpenSSL open source - * license provided below. - * - * The software is originally written by Sheueling Chang Shantz and - * Douglas Stebila of Sun Microsystems Laboratories. - * - */ - #include <openssl/err.h> #include "internal/bn_int.h" @@ -29,67 +15,6 @@ #ifndef OPENSSL_NO_EC2M -const EC_METHOD *EC_GF2m_simple_method(void) -{ - static const EC_METHOD ret = { - EC_FLAGS_DEFAULT_OCT, - NID_X9_62_characteristic_two_field, - ec_GF2m_simple_group_init, - ec_GF2m_simple_group_finish, - ec_GF2m_simple_group_clear_finish, - ec_GF2m_simple_group_copy, - ec_GF2m_simple_group_set_curve, - ec_GF2m_simple_group_get_curve, - ec_GF2m_simple_group_get_degree, - ec_group_simple_order_bits, - ec_GF2m_simple_group_check_discriminant, - ec_GF2m_simple_point_init, - ec_GF2m_simple_point_finish, - ec_GF2m_simple_point_clear_finish, - ec_GF2m_simple_point_copy, - ec_GF2m_simple_point_set_to_infinity, - 0 /* set_Jprojective_coordinates_GFp */ , - 0 /* get_Jprojective_coordinates_GFp */ , - ec_GF2m_simple_point_set_affine_coordinates, - ec_GF2m_simple_point_get_affine_coordinates, - 0, 0, 0, - ec_GF2m_simple_add, - ec_GF2m_simple_dbl, - ec_GF2m_simple_invert, - ec_GF2m_simple_is_at_infinity, - ec_GF2m_simple_is_on_curve, - ec_GF2m_simple_cmp, - ec_GF2m_simple_make_affine, - ec_GF2m_simple_points_make_affine, - - /* - * the following three method functions are defined in ec2_mult.c - */ - ec_GF2m_simple_mul, - ec_GF2m_precompute_mult, - ec_GF2m_have_precompute_mult, - - ec_GF2m_simple_field_mul, - ec_GF2m_simple_field_sqr, - ec_GF2m_simple_field_div, - 0 /* field_encode */ , - 0 /* field_decode */ , - 0, /* field_set_to_one */ - ec_key_simple_priv2oct, - ec_key_simple_oct2priv, - 0, /* set private */ - ec_key_simple_generate_key, - ec_key_simple_check_key, - ec_key_simple_generate_public_key, - 0, /* keycopy */ - 0, /* keyfinish */ - ecdh_simple_compute_key, - 0 /* blind_coordinates */ - }; - - return &ret; -} - /* * Initialize a GF(2^m)-based EC_GROUP structure. Note that all other members * are handled by EC_GROUP_new. @@ -465,7 +390,7 @@ int ec_GF2m_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, if (!BN_copy(y0, a->Y)) goto err; } else { - if (!EC_POINT_get_affine_coordinates_GF2m(group, a, x0, y0, ctx)) + if (!EC_POINT_get_affine_coordinates(group, a, x0, y0, ctx)) goto err; } if (b->Z_is_one) { @@ -474,7 +399,7 @@ int ec_GF2m_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, if (!BN_copy(y1, b->Y)) goto err; } else { - if (!EC_POINT_get_affine_coordinates_GF2m(group, b, x1, y1, ctx)) + if (!EC_POINT_get_affine_coordinates(group, b, x1, y1, ctx)) goto err; } @@ -522,7 +447,7 @@ int ec_GF2m_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, if (!BN_GF2m_add(y2, y2, y1)) goto err; - if (!EC_POINT_set_affine_coordinates_GF2m(group, r, x2, y2, ctx)) + if (!EC_POINT_set_affine_coordinates(group, r, x2, y2, ctx)) goto err; ret = 1; @@ -619,9 +544,9 @@ int ec_GF2m_simple_is_on_curve(const EC_GROUP *group, const EC_POINT *point, if (!BN_GF2m_add(lh, lh, y2)) goto err; ret = BN_is_zero(lh); + err: - if (ctx) - BN_CTX_end(ctx); + BN_CTX_end(ctx); BN_CTX_free(new_ctx); return ret; } @@ -665,15 +590,14 @@ int ec_GF2m_simple_cmp(const EC_GROUP *group, const EC_POINT *a, if (bY == NULL) goto err; - if (!EC_POINT_get_affine_coordinates_GF2m(group, a, aX, aY, ctx)) + if (!EC_POINT_get_affine_coordinates(group, a, aX, aY, ctx)) goto err; - if (!EC_POINT_get_affine_coordinates_GF2m(group, b, bX, bY, ctx)) + if (!EC_POINT_get_affine_coordinates(group, b, bX, bY, ctx)) goto err; ret = ((BN_cmp(aX, bX) == 0) && BN_cmp(aY, bY) == 0) ? 0 : 1; err: - if (ctx) - BN_CTX_end(ctx); + BN_CTX_end(ctx); BN_CTX_free(new_ctx); return ret; } @@ -701,7 +625,7 @@ int ec_GF2m_simple_make_affine(const EC_GROUP *group, EC_POINT *point, if (y == NULL) goto err; - if (!EC_POINT_get_affine_coordinates_GF2m(group, point, x, y, ctx)) + if (!EC_POINT_get_affine_coordinates(group, point, x, y, ctx)) goto err; if (!BN_copy(point->X, x)) goto err; @@ -714,8 +638,7 @@ int ec_GF2m_simple_make_affine(const EC_GROUP *group, EC_POINT *point, ret = 1; err: - if (ctx) - BN_CTX_end(ctx); + BN_CTX_end(ctx); BN_CTX_free(new_ctx); return ret; } @@ -757,4 +680,275 @@ int ec_GF2m_simple_field_div(const EC_GROUP *group, BIGNUM *r, return BN_GF2m_mod_div(r, a, b, group->field, ctx); } +/*- + * Lopez-Dahab ladder, pre step. + * See e.g. "Guide to ECC" Alg 3.40. + * Modified to blind s and r independently. + * s:= p, r := 2p + */ +static +int ec_GF2m_simple_ladder_pre(const EC_GROUP *group, + EC_POINT *r, EC_POINT *s, + EC_POINT *p, BN_CTX *ctx) +{ + /* if p is not affine, something is wrong */ + if (p->Z_is_one == 0) + return 0; + + /* s blinding: make sure lambda (s->Z here) is not zero */ + do { + if (!BN_priv_rand(s->Z, BN_num_bits(group->field) - 1, + BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY)) { + ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_PRE, ERR_R_BN_LIB); + return 0; + } + } while (BN_is_zero(s->Z)); + + /* if field_encode defined convert between representations */ + if ((group->meth->field_encode != NULL + && !group->meth->field_encode(group, s->Z, s->Z, ctx)) + || !group->meth->field_mul(group, s->X, p->X, s->Z, ctx)) + return 0; + + /* r blinding: make sure lambda (r->Y here for storage) is not zero */ + do { + if (!BN_priv_rand(r->Y, BN_num_bits(group->field) - 1, + BN_RAND_TOP_ANY, BN_RAND_BOTTOM_ANY)) { + ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_PRE, ERR_R_BN_LIB); + return 0; + } + } while (BN_is_zero(r->Y)); + + if ((group->meth->field_encode != NULL + && !group->meth->field_encode(group, r->Y, r->Y, ctx)) + || !group->meth->field_sqr(group, r->Z, p->X, ctx) + || !group->meth->field_sqr(group, r->X, r->Z, ctx) + || !BN_GF2m_add(r->X, r->X, group->b) + || !group->meth->field_mul(group, r->Z, r->Z, r->Y, ctx) + || !group->meth->field_mul(group, r->X, r->X, r->Y, ctx)) + return 0; + + s->Z_is_one = 0; + r->Z_is_one = 0; + + return 1; +} + +/*- + * Ladder step: differential addition-and-doubling, mixed Lopez-Dahab coords. + * http://www.hyperelliptic.org/EFD/g12o/auto-code/shortw/xz/ladder/mladd-2003-s.op3 + * s := r + s, r := 2r + */ +static +int ec_GF2m_simple_ladder_step(const EC_GROUP *group, + EC_POINT *r, EC_POINT *s, + EC_POINT *p, BN_CTX *ctx) +{ + if (!group->meth->field_mul(group, r->Y, r->Z, s->X, ctx) + || !group->meth->field_mul(group, s->X, r->X, s->Z, ctx) + || !group->meth->field_sqr(group, s->Y, r->Z, ctx) + || !group->meth->field_sqr(group, r->Z, r->X, ctx) + || !BN_GF2m_add(s->Z, r->Y, s->X) + || !group->meth->field_sqr(group, s->Z, s->Z, ctx) + || !group->meth->field_mul(group, s->X, r->Y, s->X, ctx) + || !group->meth->field_mul(group, r->Y, s->Z, p->X, ctx) + || !BN_GF2m_add(s->X, s->X, r->Y) + || !group->meth->field_sqr(group, r->Y, r->Z, ctx) + || !group->meth->field_mul(group, r->Z, r->Z, s->Y, ctx) + || !group->meth->field_sqr(group, s->Y, s->Y, ctx) + || !group->meth->field_mul(group, s->Y, s->Y, group->b, ctx) + || !BN_GF2m_add(r->X, r->Y, s->Y)) + return 0; + + return 1; +} + +/*- + * Recover affine (x,y) result from Lopez-Dahab r and s, affine p. + * See e.g. "Fast Multiplication on Elliptic Curves over GF(2**m) + * without Precomputation" (Lopez and Dahab, CHES 1999), + * Appendix Alg Mxy. + */ +static +int ec_GF2m_simple_ladder_post(const EC_GROUP *group, + EC_POINT *r, EC_POINT *s, + EC_POINT *p, BN_CTX *ctx) +{ + int ret = 0; + BIGNUM *t0, *t1, *t2 = NULL; + + if (BN_is_zero(r->Z)) + return EC_POINT_set_to_infinity(group, r); + + if (BN_is_zero(s->Z)) { + if (!EC_POINT_copy(r, p) + || !EC_POINT_invert(group, r, ctx)) { + ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_POST, ERR_R_EC_LIB); + return 0; + } + return 1; + } + + BN_CTX_start(ctx); + t0 = BN_CTX_get(ctx); + t1 = BN_CTX_get(ctx); + t2 = BN_CTX_get(ctx); + if (t2 == NULL) { + ECerr(EC_F_EC_GF2M_SIMPLE_LADDER_POST, ERR_R_MALLOC_FAILURE); + goto err; + } + + if (!group->meth->field_mul(group, t0, r->Z, s->Z, ctx) + || !group->meth->field_mul(group, t1, p->X, r->Z, ctx) + || !BN_GF2m_add(t1, r->X, t1) + || !group->meth->field_mul(group, t2, p->X, s->Z, ctx) + || !group->meth->field_mul(group, r->Z, r->X, t2, ctx) + || !BN_GF2m_add(t2, t2, s->X) + || !group->meth->field_mul(group, t1, t1, t2, ctx) + || !group->meth->field_sqr(group, t2, p->X, ctx) + || !BN_GF2m_add(t2, p->Y, t2) + || !group->meth->field_mul(group, t2, t2, t0, ctx) + || !BN_GF2m_add(t1, t2, t1) + || !group->meth->field_mul(group, t2, p->X, t0, ctx) + || !BN_GF2m_mod_inv(t2, t2, group->field, ctx) + || !group->meth->field_mul(group, t1, t1, t2, ctx) + || !group->meth->field_mul(group, r->X, r->Z, t2, ctx) + || !BN_GF2m_add(t2, p->X, r->X) + || !group->meth->field_mul(group, t2, t2, t1, ctx) + || !BN_GF2m_add(r->Y, p->Y, t2) + || !BN_one(r->Z)) + goto err; + + r->Z_is_one = 1; + + /* GF(2^m) field elements should always have BIGNUM::neg = 0 */ + BN_set_negative(r->X, 0); + BN_set_negative(r->Y, 0); + + ret = 1; + + err: + BN_CTX_end(ctx); + return ret; +} + +static +int ec_GF2m_simple_points_mul(const EC_GROUP *group, EC_POINT *r, + const BIGNUM *scalar, size_t num, + const EC_POINT *points[], + const BIGNUM *scalars[], + BN_CTX *ctx) +{ + int ret = 0; + EC_POINT *t = NULL; + + /*- + * We limit use of the ladder only to the following cases: + * - r := scalar * G + * Fixed point mul: scalar != NULL && num == 0; + * - r := scalars[0] * points[0] + * Variable point mul: scalar == NULL && num == 1; + * - r := scalar * G + scalars[0] * points[0] + * used, e.g., in ECDSA verification: scalar != NULL && num == 1 + * + * In any other case (num > 1) we use the default wNAF implementation. + * + * We also let the default implementation handle degenerate cases like group + * order or cofactor set to 0. + */ + if (num > 1 || BN_is_zero(group->order) || BN_is_zero(group->cofactor)) + return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx); + + if (scalar != NULL && num == 0) + /* Fixed point multiplication */ + return ec_scalar_mul_ladder(group, r, scalar, NULL, ctx); + + if (scalar == NULL && num == 1) + /* Variable point multiplication */ + return ec_scalar_mul_ladder(group, r, scalars[0], points[0], ctx); + + /*- + * Double point multiplication: + * r := scalar * G + scalars[0] * points[0] + */ + + if ((t = EC_POINT_new(group)) == NULL) { + ECerr(EC_F_EC_GF2M_SIMPLE_POINTS_MUL, ERR_R_MALLOC_FAILURE); + return 0; + } + + if (!ec_scalar_mul_ladder(group, t, scalar, NULL, ctx) + || !ec_scalar_mul_ladder(group, r, scalars[0], points[0], ctx) + || !EC_POINT_add(group, r, t, r, ctx)) + goto err; + + ret = 1; + + err: + EC_POINT_free(t); + return ret; +} + +const EC_METHOD *EC_GF2m_simple_method(void) +{ + static const EC_METHOD ret = { + EC_FLAGS_DEFAULT_OCT, + NID_X9_62_characteristic_two_field, + ec_GF2m_simple_group_init, + ec_GF2m_simple_group_finish, + ec_GF2m_simple_group_clear_finish, + ec_GF2m_simple_group_copy, + ec_GF2m_simple_group_set_curve, + ec_GF2m_simple_group_get_curve, + ec_GF2m_simple_group_get_degree, + ec_group_simple_order_bits, + ec_GF2m_simple_group_check_discriminant, + ec_GF2m_simple_point_init, + ec_GF2m_simple_point_finish, + ec_GF2m_simple_point_clear_finish, + ec_GF2m_simple_point_copy, + ec_GF2m_simple_point_set_to_infinity, + 0, /* set_Jprojective_coordinates_GFp */ + 0, /* get_Jprojective_coordinates_GFp */ + ec_GF2m_simple_point_set_affine_coordinates, + ec_GF2m_simple_point_get_affine_coordinates, + 0, /* point_set_compressed_coordinates */ + 0, /* point2oct */ + 0, /* oct2point */ + ec_GF2m_simple_add, + ec_GF2m_simple_dbl, + ec_GF2m_simple_invert, + ec_GF2m_simple_is_at_infinity, + ec_GF2m_simple_is_on_curve, + ec_GF2m_simple_cmp, + ec_GF2m_simple_make_affine, + ec_GF2m_simple_points_make_affine, + ec_GF2m_simple_points_mul, + 0, /* precompute_mult */ + 0, /* have_precompute_mult */ + ec_GF2m_simple_field_mul, + ec_GF2m_simple_field_sqr, + ec_GF2m_simple_field_div, + 0, /* field_encode */ + 0, /* field_decode */ + 0, /* field_set_to_one */ + ec_key_simple_priv2oct, + ec_key_simple_oct2priv, + 0, /* set private */ + ec_key_simple_generate_key, + ec_key_simple_check_key, + ec_key_simple_generate_public_key, + 0, /* keycopy */ + 0, /* keyfinish */ + ecdh_simple_compute_key, + 0, /* field_inverse_mod_ord */ + 0, /* blind_coordinates */ + ec_GF2m_simple_ladder_pre, + ec_GF2m_simple_ladder_step, + ec_GF2m_simple_ladder_post + }; + + return &ret; +} + #endif |