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+/* Originally written by Bodo Moeller for the OpenSSL project.
+ * ====================================================================
+ * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions
+ * are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in
+ * the documentation and/or other materials provided with the
+ * distribution.
+ *
+ * 3. All advertising materials mentioning features or use of this
+ * software must display the following acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
+ *
+ * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
+ * endorse or promote products derived from this software without
+ * prior written permission. For written permission, please contact
+ * openssl-core@openssl.org.
+ *
+ * 5. Products derived from this software may not be called "OpenSSL"
+ * nor may "OpenSSL" appear in their names without prior written
+ * permission of the OpenSSL Project.
+ *
+ * 6. Redistributions of any form whatsoever must retain the following
+ * acknowledgment:
+ * "This product includes software developed by the OpenSSL Project
+ * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
+ * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
+ * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
+ * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
+ * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
+ * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
+ * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
+ * OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ====================================================================
+ *
+ * This product includes cryptographic software written by Eric Young
+ * (eay@cryptsoft.com). This product includes software written by Tim
+ * Hudson (tjh@cryptsoft.com).
+ *
+ */
+/* ====================================================================
+ * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
+ *
+ * Portions of the attached software ("Contribution") are developed by
+ * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
+ *
+ * The Contribution is licensed pursuant to the OpenSSL open source
+ * license provided above.
+ *
+ * The elliptic curve binary polynomial software is originally written by
+ * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
+ * Laboratories. */
+
+#ifndef OPENSSL_HEADER_EC_INTERNAL_H
+#define OPENSSL_HEADER_EC_INTERNAL_H
+
+#include <openssl/base.h>
+
+#include <openssl/bn.h>
+#include <openssl/ex_data.h>
+#include <openssl/thread.h>
+
+#if defined(__cplusplus)
+extern "C" {
+#endif
+
+
+/* Use default functions for poin2oct, oct2point and compressed coordinates */
+#define EC_FLAGS_DEFAULT_OCT 0x1
+
+struct ec_method_st {
+ /* Various method flags */
+ int flags;
+
+ /* used by EC_GROUP_new, EC_GROUP_free, EC_GROUP_clear_free, EC_GROUP_copy: */
+ int (*group_init)(EC_GROUP *);
+ void (*group_finish)(EC_GROUP *);
+ void (*group_clear_finish)(EC_GROUP *);
+ int (*group_copy)(EC_GROUP *, const EC_GROUP *);
+
+ /* used by EC_GROUP_set_curve_GFp, EC_GROUP_get_curve_GFp, */
+ /* EC_GROUP_set_curve_GF2m, and EC_GROUP_get_curve_GF2m: */
+ int (*group_set_curve)(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *);
+ int (*group_get_curve)(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b,
+ BN_CTX *);
+
+ /* used by EC_GROUP_get_degree: */
+ int (*group_get_degree)(const EC_GROUP *);
+
+ /* used by EC_GROUP_check: */
+ int (*group_check_discriminant)(const EC_GROUP *, BN_CTX *);
+
+ /* used by EC_POINT_new, EC_POINT_free, EC_POINT_clear_free, EC_POINT_copy: */
+ int (*point_init)(EC_POINT *);
+ void (*point_finish)(EC_POINT *);
+ void (*point_clear_finish)(EC_POINT *);
+ int (*point_copy)(EC_POINT *, const EC_POINT *);
+
+ /* used by EC_POINT_set_to_infinity,
+ * EC_POINT_set_Jprojective_coordinates_GFp,
+ * EC_POINT_get_Jprojective_coordinates_GFp,
+ * EC_POINT_set_affine_coordinates_GFp, ..._GF2m,
+ * EC_POINT_get_affine_coordinates_GFp, ..._GF2m,
+ * EC_POINT_set_compressed_coordinates_GFp, ..._GF2m:
+ */
+ int (*point_set_to_infinity)(const EC_GROUP *, EC_POINT *);
+ int (*point_set_Jprojective_coordinates_GFp)(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y,
+ const BIGNUM *z, BN_CTX *);
+ int (*point_get_Jprojective_coordinates_GFp)(const EC_GROUP *,
+ const EC_POINT *, BIGNUM *x,
+ BIGNUM *y, BIGNUM *z, BN_CTX *);
+ int (*point_set_affine_coordinates)(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y,
+ BN_CTX *);
+ int (*point_get_affine_coordinates)(const EC_GROUP *, const EC_POINT *,
+ BIGNUM *x, BIGNUM *y, BN_CTX *);
+ int (*point_set_compressed_coordinates)(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, int y_bit, BN_CTX *);
+
+ /* used by EC_POINT_point2oct, EC_POINT_oct2point: */
+ size_t (*point2oct)(const EC_GROUP *, const EC_POINT *,
+ point_conversion_form_t form, unsigned char *buf,
+ size_t len, BN_CTX *);
+ int (*oct2point)(const EC_GROUP *, EC_POINT *, const unsigned char *buf,
+ size_t len, BN_CTX *);
+
+ /* used by EC_POINT_add, EC_POINT_dbl, ECP_POINT_invert: */
+ int (*add)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
+ const EC_POINT *b, BN_CTX *);
+ int (*dbl)(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
+ int (*invert)(const EC_GROUP *, EC_POINT *, BN_CTX *);
+
+ /* used by EC_POINT_is_at_infinity, EC_POINT_is_on_curve, EC_POINT_cmp: */
+ int (*is_at_infinity)(const EC_GROUP *, const EC_POINT *);
+ int (*is_on_curve)(const EC_GROUP *, const EC_POINT *, BN_CTX *);
+ int (*point_cmp)(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
+ BN_CTX *);
+
+ /* used by EC_POINT_make_affine, EC_POINTs_make_affine: */
+ int (*make_affine)(const EC_GROUP *, EC_POINT *, BN_CTX *);
+ int (*points_make_affine)(const EC_GROUP *, size_t num, EC_POINT * [],
+ BN_CTX *);
+
+ /* used by EC_POINTs_mul, EC_POINT_mul, EC_POINT_precompute_mult,
+ * EC_POINT_have_precompute_mult
+ * (default implementations are used if the 'mul' pointer is 0): */
+ int (*mul)(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
+ BN_CTX *);
+ int (*precompute_mult)(EC_GROUP *group, BN_CTX *);
+ int (*have_precompute_mult)(const EC_GROUP *group);
+
+
+ /* internal functions */
+
+ /* 'field_mul', 'field_sqr', and 'field_div' can be used by 'add' and 'dbl'
+ * so that the same implementations of point operations can be used with
+ * different optimized implementations of expensive field operations: */
+ int (*field_mul)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *);
+ int (*field_sqr)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a, BN_CTX *);
+ int (*field_div)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *);
+
+ int (*field_encode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
+ BN_CTX *); /* e.g. to Montgomery */
+ int (*field_decode)(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
+ BN_CTX *); /* e.g. from Montgomery */
+ int (*field_set_to_one)(const EC_GROUP *, BIGNUM *r, BN_CTX *);
+} /* EC_METHOD */;
+
+const EC_METHOD* EC_GFp_mont_method(void);
+
+struct ec_pre_comp_st;
+void ec_pre_comp_free(struct ec_pre_comp_st *pre_comp);
+void *ec_pre_comp_dup(struct ec_pre_comp_st *pre_comp);
+
+struct ec_group_st {
+ const EC_METHOD *meth;
+
+ EC_POINT *generator; /* optional */
+ BIGNUM order, cofactor;
+
+ int curve_name; /* optional NID for named curve */
+
+ struct ec_pre_comp_st *pre_comp;
+
+ /* The following members are handled by the method functions,
+ * even if they appear generic */
+
+ BIGNUM field; /* For curves over GF(p), this is the modulus. */
+
+ BIGNUM a, b; /* Curve coefficients. */
+
+ int a_is_minus3; /* enable optimized point arithmetics for special case */
+
+ BN_MONT_CTX *mont; /* Montgomery structure. */
+ BIGNUM *one; /* The value one */
+} /* EC_GROUP */;
+
+struct ec_point_st {
+ const EC_METHOD *meth;
+
+ /* All members except 'meth' are handled by the method functions,
+ * even if they appear generic */
+
+ BIGNUM X;
+ BIGNUM Y;
+ BIGNUM Z; /* Jacobian projective coordinates:
+ * (X, Y, Z) represents (X/Z^2, Y/Z^3) if Z != 0 */
+ int Z_is_one; /* enable optimized point arithmetics for special case */
+} /* EC_POINT */;
+
+EC_GROUP *ec_group_new(const EC_METHOD *meth);
+int ec_group_copy(EC_GROUP *dest, const EC_GROUP *src);
+
+int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
+ size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
+ BN_CTX *);
+int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *);
+int ec_wNAF_have_precompute_mult(const EC_GROUP *group);
+
+/* method functions in simple.c */
+int ec_GFp_simple_group_init(EC_GROUP *);
+void ec_GFp_simple_group_finish(EC_GROUP *);
+void ec_GFp_simple_group_clear_finish(EC_GROUP *);
+int ec_GFp_simple_group_copy(EC_GROUP *, const EC_GROUP *);
+int ec_GFp_simple_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *);
+int ec_GFp_simple_group_get_curve(const EC_GROUP *, BIGNUM *p, BIGNUM *a,
+ BIGNUM *b, BN_CTX *);
+int ec_GFp_simple_group_get_degree(const EC_GROUP *);
+int ec_GFp_simple_group_check_discriminant(const EC_GROUP *, BN_CTX *);
+int ec_GFp_simple_point_init(EC_POINT *);
+void ec_GFp_simple_point_finish(EC_POINT *);
+void ec_GFp_simple_point_clear_finish(EC_POINT *);
+int ec_GFp_simple_point_copy(EC_POINT *, const EC_POINT *);
+int ec_GFp_simple_point_set_to_infinity(const EC_GROUP *, EC_POINT *);
+int ec_GFp_simple_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x,
+ const BIGNUM *y,
+ const BIGNUM *z, BN_CTX *);
+int ec_GFp_simple_get_Jprojective_coordinates_GFp(const EC_GROUP *,
+ const EC_POINT *, BIGNUM *x,
+ BIGNUM *y, BIGNUM *z,
+ BN_CTX *);
+int ec_GFp_simple_point_set_affine_coordinates(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, const BIGNUM *y,
+ BN_CTX *);
+int ec_GFp_simple_point_get_affine_coordinates(const EC_GROUP *,
+ const EC_POINT *, BIGNUM *x,
+ BIGNUM *y, BN_CTX *);
+int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *, EC_POINT *,
+ const BIGNUM *x, int y_bit,
+ BN_CTX *);
+int ec_GFp_simple_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
+ const EC_POINT *b, BN_CTX *);
+int ec_GFp_simple_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
+ BN_CTX *);
+int ec_GFp_simple_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
+int ec_GFp_simple_is_at_infinity(const EC_GROUP *, const EC_POINT *);
+int ec_GFp_simple_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
+int ec_GFp_simple_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
+ BN_CTX *);
+int ec_GFp_simple_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
+int ec_GFp_simple_points_make_affine(const EC_GROUP *, size_t num,
+ EC_POINT * [], BN_CTX *);
+int ec_GFp_simple_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *);
+int ec_GFp_simple_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
+ BN_CTX *);
+
+/* method functions in montgomery.c */
+int ec_GFp_mont_group_init(EC_GROUP *);
+int ec_GFp_mont_group_set_curve(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *);
+void ec_GFp_mont_group_finish(EC_GROUP *);
+void ec_GFp_mont_group_clear_finish(EC_GROUP *);
+int ec_GFp_mont_group_copy(EC_GROUP *, const EC_GROUP *);
+int ec_GFp_mont_field_mul(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *);
+int ec_GFp_mont_field_sqr(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
+ BN_CTX *);
+int ec_GFp_mont_field_encode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
+ BN_CTX *);
+int ec_GFp_mont_field_decode(const EC_GROUP *, BIGNUM *r, const BIGNUM *a,
+ BN_CTX *);
+int ec_GFp_mont_field_set_to_one(const EC_GROUP *, BIGNUM *r, BN_CTX *);
+
+int ec_point_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
+ EC_POINT *point, const BIGNUM *x,
+ const BIGNUM *y, const BIGNUM *z,
+ BN_CTX *ctx);
+
+void ec_GFp_nistp_points_make_affine_internal(
+ size_t num, void *point_array, size_t felem_size, void *tmp_felems,
+ void (*felem_one)(void *out), int (*felem_is_zero)(const void *in),
+ void (*felem_assign)(void *out, const void *in),
+ void (*felem_square)(void *out, const void *in),
+ void (*felem_mul)(void *out, const void *in1, const void *in2),
+ void (*felem_inv)(void *out, const void *in),
+ void (*felem_contract)(void *out, const void *in));
+
+void ec_GFp_nistp_recode_scalar_bits(uint8_t *sign, uint8_t *digit, uint8_t in);
+
+const EC_METHOD *EC_GFp_nistp256_method(void);
+
+struct ec_key_st {
+ int version;
+
+ EC_GROUP *group;
+
+ EC_POINT *pub_key;
+ BIGNUM *priv_key;
+
+ unsigned int enc_flag;
+ point_conversion_form_t conv_form;
+
+ CRYPTO_refcount_t references;
+ int flags;
+
+ ECDSA_METHOD *ecdsa_meth;
+
+ CRYPTO_EX_DATA ex_data;
+} /* EC_KEY */;
+
+/* curve_data contains data about a built-in elliptic curve. */
+struct curve_data {
+ /* comment is a human-readable string describing the curve. */
+ const char *comment;
+ /* param_len is the number of bytes needed to store a field element. */
+ uint8_t param_len;
+ /* cofactor is the cofactor of the group (i.e. the number of elements in the
+ * group divided by the size of the main subgroup. */
+ uint8_t cofactor; /* promoted to BN_ULONG */
+ /* data points to an array of 6*|param_len| bytes which hold the field
+ * elements of the following (in big-endian order): prime, a, b, generator x,
+ * generator y, order. */
+ const uint8_t data[];
+};
+
+struct built_in_curve {
+ int nid;
+ const struct curve_data *data;
+ const EC_METHOD *(*method)(void);
+};
+
+/* OPENSSL_built_in_curves is terminated with an entry where |nid| is
+ * |NID_undef|. */
+extern const struct built_in_curve OPENSSL_built_in_curves[];
+
+#if defined(__cplusplus)
+} /* extern C */
+#endif
+
+#endif /* OPENSSL_HEADER_EC_INTERNAL_H */