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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_H
+#define OPENSSL_HEADER_EC_H
+
+#include <openssl/base.h>
+
+#if defined(__cplusplus)
+extern "C" {
+#endif
+
+
+/* Low-level operations on elliptic curves. */
+
+
+typedef struct ec_group_st EC_GROUP;
+typedef struct ec_point_st EC_POINT;
+
+/** Enum for the point conversion form as defined in X9.62 (ECDSA)
+ * for the encoding of a elliptic curve point (x,y) */
+typedef enum {
+ /** the point is encoded as z||x, where the octet z specifies
+ * which solution of the quadratic equation y is */
+ POINT_CONVERSION_COMPRESSED = 2,
+ /** the point is encoded as z||x||y, where z is the octet 0x04 */
+ POINT_CONVERSION_UNCOMPRESSED = 4
+} point_conversion_form_t;
+
+
+/* Elliptic curve groups. */
+
+/* EC_GROUP_new_by_curve_name returns a fresh EC_GROUP object for the elliptic
+ * curve specified by |nid|, or NULL on error.
+ *
+ * The supported NIDs are:
+ * NID_secp224r1,
+ * NID_X9_62_prime256v1,
+ * NID_secp384r1,
+ * NID_secp521r1 */
+OPENSSL_EXPORT EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
+
+/* EC_GROUP_free frees |group| and the data that it points to. */
+OPENSSL_EXPORT void EC_GROUP_free(EC_GROUP *group);
+
+/* EC_GROUP_dup returns a fresh |EC_GROUP| which is equal to |a| or NULL on
+ * error. */
+OPENSSL_EXPORT EC_GROUP *EC_GROUP_dup(const EC_GROUP *a);
+
+/* EC_GROUP_cmp returns zero if |a| and |b| are the same group and non-zero
+ * otherwise. */
+OPENSSL_EXPORT int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b,
+ BN_CTX *ignored);
+
+/* EC_GROUP_get0_generator returns a pointer to the internal |EC_POINT| object
+ * in |group| that specifies the generator for the group. */
+OPENSSL_EXPORT const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
+
+/* EC_GROUP_get_order sets |*order| to the order of |group|, if it's not
+ * NULL. It returns one on success and zero otherwise. |ctx| is ignored. */
+OPENSSL_EXPORT int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order,
+ BN_CTX *ctx);
+
+/* EC_GROUP_get_cofactor sets |*cofactor| to the cofactor of |group| using
+ * |ctx|, if it's not NULL. It returns one on success and zero otherwise. */
+OPENSSL_EXPORT int EC_GROUP_get_cofactor(const EC_GROUP *group,
+ BIGNUM *cofactor, BN_CTX *ctx);
+
+/* EC_GROUP_get_curve_GFp gets various parameters about a group. It sets
+ * |*out_p| to the order of the coordinate field and |*out_a| and |*out_b| to
+ * the parameters of the curve when expressed as y² = x³ + ax + b. Any of the
+ * output parameters can be NULL. It returns one on success and zero on
+ * error. */
+OPENSSL_EXPORT int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *out_p,
+ BIGNUM *out_a, BIGNUM *out_b,
+ BN_CTX *ctx);
+
+/* EC_GROUP_get_curve_name returns a NID that identifies |group|. */
+OPENSSL_EXPORT int EC_GROUP_get_curve_name(const EC_GROUP *group);
+
+/* EC_GROUP_get_degree returns the number of bits needed to represent an
+ * element of the field underlying |group|. */
+OPENSSL_EXPORT int EC_GROUP_get_degree(const EC_GROUP *group);
+
+/* EC_GROUP_precompute_mult precomputes multiplies of the generator in order to
+ * speed up operations that involve calculating generator multiples. It returns
+ * one on sucess and zero otherwise. If |ctx| is not NULL, it may be used. */
+OPENSSL_EXPORT int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
+
+/* EC_GROUP_have_precompute_mult returns one if |group| contains precomputed
+ * generator multiples. */
+OPENSSL_EXPORT int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
+
+
+/* Points on elliptic curves. */
+
+/* EC_POINT_new returns a fresh |EC_POINT| object in the given group, or NULL
+ * on error. */
+OPENSSL_EXPORT EC_POINT *EC_POINT_new(const EC_GROUP *group);
+
+/* EC_POINT_free frees |point| and the data that it points to. */
+OPENSSL_EXPORT void EC_POINT_free(EC_POINT *point);
+
+/* EC_POINT_clear_free clears the data that |point| points to, frees it and
+ * then frees |point| itself. */
+OPENSSL_EXPORT void EC_POINT_clear_free(EC_POINT *point);
+
+/* EC_POINT_copy sets |*dest| equal to |*src|. It returns one on success and
+ * zero otherwise. */
+OPENSSL_EXPORT int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src);
+
+/* EC_POINT_dup returns a fresh |EC_POINT| that contains the same values as
+ * |src|, or NULL on error. */
+OPENSSL_EXPORT EC_POINT *EC_POINT_dup(const EC_POINT *src,
+ const EC_GROUP *group);
+
+/* EC_POINT_set_to_infinity sets |point| to be the "point at infinity" for the
+ * given group. */
+OPENSSL_EXPORT int EC_POINT_set_to_infinity(const EC_GROUP *group,
+ EC_POINT *point);
+
+/* EC_POINT_is_at_infinity returns one iff |point| is the point at infinity and
+ * zero otherwise. */
+OPENSSL_EXPORT int EC_POINT_is_at_infinity(const EC_GROUP *group,
+ const EC_POINT *point);
+
+/* EC_POINT_is_on_curve returns one if |point| is an element of |group| and
+ * zero otheriwse. If |ctx| is non-NULL, it may be used. */
+OPENSSL_EXPORT int EC_POINT_is_on_curve(const EC_GROUP *group,
+ const EC_POINT *point, BN_CTX *ctx);
+
+/* EC_POINT_cmp returns zero if |a| is equal to |b|, greater than zero is
+ * non-equal and -1 on error. If |ctx| is not NULL, it may be used. */
+OPENSSL_EXPORT int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a,
+ const EC_POINT *b, BN_CTX *ctx);
+
+/* EC_POINT_make_affine converts |point| to affine form, internally. It returns
+ * one on success and zero otherwise. If |ctx| is not NULL, it may be used. */
+OPENSSL_EXPORT int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point,
+ BN_CTX *ctx);
+
+/* EC_POINTs_make_affine converts |num| points from |points| to affine form,
+ * internally. It returns one on success and zero otherwise. If |ctx| is not
+ * NULL, it may be used. */
+OPENSSL_EXPORT int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
+ EC_POINT *points[], BN_CTX *ctx);
+
+
+/* Point conversion. */
+
+/* EC_POINT_get_affine_coordinates_GFp sets |x| and |y| to the affine value of
+ * |point| using |ctx|, if it's not NULL. It returns one on success and zero
+ * otherwise. */
+OPENSSL_EXPORT int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
+ const EC_POINT *point,
+ BIGNUM *x, BIGNUM *y,
+ BN_CTX *ctx);
+
+/* EC_POINT_set_affine_coordinates_GFp sets the value of |p| to be (|x|, |y|). The
+ * |ctx| argument may be used if not NULL. */
+OPENSSL_EXPORT int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
+ EC_POINT *point,
+ const BIGNUM *x,
+ const BIGNUM *y,
+ BN_CTX *ctx);
+
+/* EC_POINT_point2oct serialises |point| into the X9.62 form given by |form|
+ * into, at most, |len| bytes at |buf|. It returns the number of bytes written
+ * or zero on error if |buf| is non-NULL, else the number of bytes needed. The
+ * |ctx| argument may be used if not NULL. */
+OPENSSL_EXPORT size_t EC_POINT_point2oct(const EC_GROUP *group,
+ const EC_POINT *point,
+ point_conversion_form_t form,
+ uint8_t *buf, size_t len, BN_CTX *ctx);
+
+/* EC_POINT_oct2point sets |point| from |len| bytes of X9.62 format
+ * serialisation in |buf|. It returns one on success and zero otherwise. The
+ * |ctx| argument may be used if not NULL. */
+OPENSSL_EXPORT int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
+ const uint8_t *buf, size_t len,
+ BN_CTX *ctx);
+
+/* EC_POINT_set_compressed_coordinates_GFp sets |point| to equal the point with
+ * the given |x| coordinate and the y coordinate specified by |y_bit| (see
+ * X9.62). It returns one on success and zero otherwise. */
+OPENSSL_EXPORT int EC_POINT_set_compressed_coordinates_GFp(
+ const EC_GROUP *group, EC_POINT *point, const BIGNUM *x, int y_bit,
+ BN_CTX *ctx);
+
+
+/* Group operations. */
+
+/* EC_POINT_add sets |r| equal to |a| plus |b|. It returns one on success and
+ * zero otherwise. If |ctx| is not NULL, it may be used. */
+OPENSSL_EXPORT int EC_POINT_add(const EC_GROUP *group, EC_POINT *r,
+ const EC_POINT *a, const EC_POINT *b,
+ BN_CTX *ctx);
+
+/* EC_POINT_dbl sets |r| equal to |a| plus |a|. It returns one on success and
+ * zero otherwise. If |ctx| is not NULL, it may be used. */
+OPENSSL_EXPORT int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r,
+ const EC_POINT *a, BN_CTX *ctx);
+
+/* EC_POINT_invert sets |a| equal to minus |a|. It returns one on success and zero
+ * otherwise. If |ctx| is not NULL, it may be used. */
+OPENSSL_EXPORT int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a,
+ BN_CTX *ctx);
+
+/* EC_POINT_mul sets r = generator*n + q*m. It returns one on success and zero
+ * otherwise. If |ctx| is not NULL, it may be used. */
+OPENSSL_EXPORT int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r,
+ const BIGNUM *n, const EC_POINT *q,
+ const BIGNUM *m, BN_CTX *ctx);
+
+/* EC_POINTs_mul sets r = generator*n + sum(p[i]*m[i]). It returns one on
+ * success and zero otherwise. If |ctx| is not NULL, it may be used. */
+OPENSSL_EXPORT int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r,
+ const BIGNUM *n, size_t num,
+ const EC_POINT *p[], const BIGNUM *m[],
+ BN_CTX *ctx);
+
+
+/* Deprecated functions. */
+
+/* EC_GROUP_new_curve_GFp creates a new, arbitrary elliptic curve group based
+ * on the equation y² = x³ + a·x + b. It returns the new group or NULL on
+ * error.
+ *
+ * |EC_GROUP|s returned by this function will always compare as unequal via
+ * |EC_GROUP_cmp| (even to themselves). |EC_GROUP_get_curve_name| will always
+ * return |NID_undef|. */
+OPENSSL_EXPORT EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p,
+ const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *ctx);
+
+/* EC_GROUP_set_generator sets the generator for |group| to |generator|, which
+ * must have the given order and cofactor. This should only be used with
+ * |EC_GROUP| objects returned by |EC_GROUP_new_curve_GFp|. */
+OPENSSL_EXPORT int EC_GROUP_set_generator(EC_GROUP *group,
+ const EC_POINT *generator,
+ const BIGNUM *order,
+ const BIGNUM *cofactor);
+
+/* EC_GROUP_set_asn1_flag does nothing. */
+OPENSSL_EXPORT void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
+
+#define OPENSSL_EC_NAMED_CURVE 0
+
+typedef struct ec_method_st EC_METHOD;
+
+/* EC_GROUP_method_of returns NULL. */
+OPENSSL_EXPORT const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
+
+/* EC_METHOD_get_field_type returns NID_X9_62_prime_field. */
+OPENSSL_EXPORT int EC_METHOD_get_field_type(const EC_METHOD *meth);
+
+/* EC_GROUP_set_point_conversion_form aborts the process if |form| is not
+ * |POINT_CONVERSION_UNCOMPRESSED| and otherwise does nothing. */
+OPENSSL_EXPORT void EC_GROUP_set_point_conversion_form(
+ EC_GROUP *group, point_conversion_form_t form);
+
+
+/* Old code expects to get EC_KEY from ec.h. */
+#if !defined(OPENSSL_HEADER_EC_KEY_H)
+#include <openssl/ec_key.h>
+#endif
+
+
+#if defined(__cplusplus)
+} /* extern C */
+#endif
+
+#define EC_R_BUFFER_TOO_SMALL 100
+#define EC_R_COORDINATES_OUT_OF_RANGE 101
+#define EC_R_D2I_ECPKPARAMETERS_FAILURE 102
+#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 103
+#define EC_R_GROUP2PKPARAMETERS_FAILURE 104
+#define EC_R_I2D_ECPKPARAMETERS_FAILURE 105
+#define EC_R_INCOMPATIBLE_OBJECTS 106
+#define EC_R_INVALID_COMPRESSED_POINT 107
+#define EC_R_INVALID_COMPRESSION_BIT 108
+#define EC_R_INVALID_ENCODING 109
+#define EC_R_INVALID_FIELD 110
+#define EC_R_INVALID_FORM 111
+#define EC_R_INVALID_GROUP_ORDER 112
+#define EC_R_INVALID_PRIVATE_KEY 113
+#define EC_R_MISSING_PARAMETERS 114
+#define EC_R_MISSING_PRIVATE_KEY 115
+#define EC_R_NON_NAMED_CURVE 116
+#define EC_R_NOT_INITIALIZED 117
+#define EC_R_PKPARAMETERS2GROUP_FAILURE 118
+#define EC_R_POINT_AT_INFINITY 119
+#define EC_R_POINT_IS_NOT_ON_CURVE 120
+#define EC_R_SLOT_FULL 121
+#define EC_R_UNDEFINED_GENERATOR 122
+#define EC_R_UNKNOWN_GROUP 123
+#define EC_R_UNKNOWN_ORDER 124
+#define EC_R_WRONG_ORDER 125
+#define EC_R_BIGNUM_OUT_OF_RANGE 126
+#define EC_R_WRONG_CURVE_PARAMETERS 127
+
+#endif /* OPENSSL_HEADER_EC_H */