crypto/ec/ec.h - third_party/openssl - Git at Google

 /* crypto/ec/ec.h */
 /* ====================================================================
  * Copyright (c) 1998-2002 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).
  *
  */

 #ifndef HEADER_EC_H
 #define HEADER_EC_H

 #ifdef OPENSSL_NO_EC
 #error EC is disabled.
 #endif

 #include <openssl/bn.h>
 #include <openssl/asn1.h>
 #include <openssl/symhacks.h>

 #ifdef  __cplusplus
 extern "C" {
 #endif


 typedef enum {
 	/* values as defined in X9.62 (ECDSA) and elsewhere */
 	POINT_CONVERSION_COMPRESSED = 2,
 	POINT_CONVERSION_UNCOMPRESSED = 4,
 	POINT_CONVERSION_HYBRID = 6
 } point_conversion_form_t;


 typedef struct ec_method_st EC_METHOD;

 typedef struct ec_group_st
 	/*
 	 EC_METHOD *meth;
 	 -- field definition
 	 -- curve coefficients
 	 -- optional generator with associated information (order, cofactor)
 	 -- optional extra data (TODO: precomputed table for fast computation of multiples of generator)
 	 -- ASN1 stuff
 	*/
 	EC_GROUP;

 typedef struct ec_point_st EC_POINT;


 /* EC_METHODs for curves over GF(p).
  * EC_GFp_simple_method provides the basis for the optimized methods.
  */
 const EC_METHOD *EC_GFp_simple_method(void);
 const EC_METHOD *EC_GFp_mont_method(void);
 #if 0
 const EC_METHOD *EC_GFp_recp_method(void); /* TODO */
 const EC_METHOD *EC_GFp_nist_method(void); /* TODO */
 #endif


 EC_GROUP *EC_GROUP_new(const EC_METHOD *);
 void EC_GROUP_free(EC_GROUP *);
 void EC_GROUP_clear_free(EC_GROUP *);
 int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);

 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
 int EC_METHOD_get_field_type(const EC_METHOD *);

 int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
 EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *);
 int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
 int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);

 void EC_GROUP_set_nid(EC_GROUP *, int); /* curve name */
 int EC_GROUP_get_nid(const EC_GROUP *);

 void EC_GROUP_set_asn1_flag(EC_GROUP *, int flag);
 int EC_GROUP_get_asn1_flag(const EC_GROUP *);

 void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);

 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);

 /* We don't have types for field specifications and field elements in general.
  * Otherwise we could declare
  *     int EC_GROUP_set_curve(EC_GROUP *, .....);
  */
 int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);

 /* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */
 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
 /* EC_GROUP_check_discriminant() returns 1 if the discriminant of the
  * elliptic curve is not zero, 0 otherwise */
 int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *);

 /* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp()
  * after choosing an appropriate EC_METHOD */
 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);

 /* EC_GROUP_new_by_nid() and EC_GROUP_new_by_name() also set
  * generator and order */
 EC_GROUP *EC_GROUP_new_by_nid(int nid);
 EC_GROUP *EC_GROUP_new_by_name(int name);
 /* Currently valid arguments to EC_GROUP_new_by_name() */
 #define EC_GROUP_NO_CURVE		0
 #define EC_GROUP_NIST_PRIME_192		NID_X9_62_prime192v1
 #define EC_GROUP_NIST_PRIME_224		NID_secp224r1
 #define EC_GROUP_NIST_PRIME_256		NID_X9_62_prime256v1
 #define EC_GROUP_NIST_PRIME_384		NID_secp384r1
 #define EC_GROUP_NIST_PRIME_521		NID_secp521r1
 #define EC_GROUP_X9_62_PRIME_192V1	NID_X9_62_prime192v1
 #define EC_GROUP_X9_62_PRIME_192V2	NID_X9_62_prime192v2
 #define EC_GROUP_X9_62_PRIME_192V3	NID_X9_62_prime192v3
 #define EC_GROUP_X9_62_PRIME_239V1	NID_X9_62_prime239v1
 #define EC_GROUP_X9_62_PRIME_239V2	NID_X9_62_prime239v2
 #define EC_GROUP_X9_62_PRIME_239V3	NID_X9_62_prime239v3
 #define EC_GROUP_X9_62_PRIME_256V1	NID_X9_62_prime256v1
 #define EC_GROUP_SECG_PRIME_112R1	NID_secp112r1
 #define EC_GROUP_SECG_PRIME_112R2	NID_secp112r2
 #define EC_GROUP_SECG_PRIME_128R1	NID_secp128r1
 #define EC_GROUP_SECG_PRIME_128R2	NID_secp128r2
 #define EC_GROUP_SECG_PRIME_160K1	NID_secp160k1
 #define EC_GROUP_SECG_PRIME_160R1	NID_secp160r1
 #define EC_GROUP_SECG_PRIME_160R2	NID_secp160r2
 #define EC_GROUP_SECG_PRIME_192K1	NID_secp192k1
 #define EC_GROUP_SECG_PRIME_192R1	NID_X9_62_prime192v1
 #define EC_GROUP_SECG_PRIME_224K1	NID_secp224k1
 #define EC_GROUP_SECG_PRIME_224R1	NID_secp224r1
 #define EC_GROUP_SECG_PRIME_256K1	NID_secp256k1
 #define EC_GROUP_SECG_PRIME_256R1	NID_X9_62_prime256v1
 #define EC_GROUP_SECG_PRIME_384R1	NID_secp384r1
 #define EC_GROUP_SECG_PRIME_521R1	NID_secp521r1
 #define EC_GROUP_WTLS_6			NID_wap_wsg_idm_ecid_wtls6
 #define EC_GROUP_WTLS_7			NID_secp160r1
 #define EC_GROUP_WTLS_8			NID_wap_wsg_idm_ecid_wtls8
 #define EC_GROUP_WTLS_9			NID_wap_wsg_idm_ecid_wtls9
 #define EC_GROUP_WTLS_12		NID_secp224r1

 EC_POINT *EC_POINT_new(const EC_GROUP *);
 void EC_POINT_free(EC_POINT *);
 void EC_POINT_clear_free(EC_POINT *);
 int EC_POINT_copy(EC_POINT *, const EC_POINT *);

 const EC_METHOD *EC_POINT_method_of(const EC_POINT *);

 int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *);
 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 	const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
 	BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 	const BIGNUM *x, const BIGNUM *y, BN_CTX *);
 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
 	BIGNUM *x, BIGNUM *y, BN_CTX *);
 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 	const BIGNUM *x, int y_bit, BN_CTX *);

 size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
         unsigned char *buf, size_t len, BN_CTX *);
 int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *,
         const unsigned char *buf, size_t len, BN_CTX *);

 /* other interfaces to point2oct/oct2point: */
 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
 	point_conversion_form_t form, BIGNUM *, BN_CTX *);
 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
 	EC_POINT *, BN_CTX *);
 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
 	point_conversion_form_t form, BN_CTX *);
 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
 	EC_POINT *, BN_CTX *);

 int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
 int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
 int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);

 int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *);
 int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
 int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);

 int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);


 int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, const EC_POINT *[], const BIGNUM *[], BN_CTX *);
 int EC_POINT_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, const EC_POINT *, const BIGNUM *, BN_CTX *);
 int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *);


 /* ASN1 stuff */
 #define OPENSSL_EC_NAMED_CURVE	0x001

 typedef struct ec_parameters_st ECPARAMETERS;
 typedef struct ecpk_parameters_st ECPKPARAMETERS;

 DECLARE_ASN1_ITEM(ECPARAMETERS)
 DECLARE_ASN1_ITEM(ECPKPARAMETERS)
 DECLARE_ASN1_ENCODE_FUNCTIONS_const(ECPARAMETERS, ECPARAMETERS)
 DECLARE_ASN1_ENCODE_FUNCTIONS_const(ECPKPARAMETERS, ECPKPARAMETERS)

 EC_GROUP *EC_ASN1_pkparameters2group(const ECPKPARAMETERS *);
 ECPKPARAMETERS *EC_ASN1_group2pkparameters(const EC_GROUP *, ECPKPARAMETERS *);


 EC_GROUP *d2i_ECParameters(EC_GROUP **, const unsigned char **in, long len);
 int i2d_ECParameters(const EC_GROUP *, unsigned char **out);

 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);

 #define d2i_ECPKParameters_bio(bp,x) (EC_GROUP *)ASN1_d2i_bio(NULL, \
                 (char *(*)())d2i_ECPKParameters,(bp),(unsigned char **)(x))
 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio(i2d_ECPKParameters,(bp), \
 		(unsigned char *)(x))
 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
                 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
 		(unsigned char *)(x))

 #ifndef OPENSSL_NO_BIO
 int     ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
 #endif
 #ifndef OPENSSL_NO_FP_API
 int     ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
 #endif


 /* BEGIN ERROR CODES */
 /* The following lines are auto generated by the script mkerr.pl. Any changes
  * made after this point may be overwritten when the script is next run.
  */
 void ERR_load_EC_strings(void);

 /* Error codes for the EC functions. */

 /* Function codes. */
 #define EC_F_COMPUTE_WNAF				 143
 #define EC_F_D2I_ECDSAPARAMETERS			 154
 #define EC_F_D2I_ECPARAMETERS				 155
 #define EC_F_D2I_ECPKPARAMETERS				 161
 #define EC_F_ECPKPARAMETERS_PRINT			 166
 #define EC_F_ECPKPARAMETERS_PRINT_FP			 167
 #define EC_F_EC_ASN1_GROUP2CURVE			 159
 #define EC_F_EC_ASN1_GROUP2FIELDID			 156
 #define EC_F_EC_ASN1_GROUP2PARAMETERS			 160
 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS			 162
 #define EC_F_EC_ASN1_PARAMETERS2GROUP			 157
 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP			 163
 #define EC_F_EC_GFP_MONT_FIELD_DECODE			 133
 #define EC_F_EC_GFP_MONT_FIELD_ENCODE			 134
 #define EC_F_EC_GFP_MONT_FIELD_MUL			 131
 #define EC_F_EC_GFP_MONT_FIELD_SQR			 132
 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT	 152
 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP		 100
 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR		 101
 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE			 102
 #define EC_F_EC_GFP_SIMPLE_OCT2POINT			 103
 #define EC_F_EC_GFP_SIMPLE_POINT2OCT			 104
 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE		 137
 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
 #define EC_F_EC_GROUP_CHECK				 150
 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT		 153
 #define EC_F_EC_GROUP_COPY				 106
 #define EC_F_EC_GROUP_GET0_GENERATOR			 139
 #define EC_F_EC_GROUP_GET_COFACTOR			 140
 #define EC_F_EC_GROUP_GET_CURVE_GFP			 130
 #define EC_F_EC_GROUP_GET_EXTRA_DATA			 107
 #define EC_F_EC_GROUP_GET_ORDER				 141
 #define EC_F_EC_GROUP_GROUP2NID				 147
 #define EC_F_EC_GROUP_NEW				 108
 #define EC_F_EC_GROUP_NEW_BY_NAME			 144
 #define EC_F_EC_GROUP_NEW_BY_NID			 146
 #define EC_F_EC_GROUP_NEW_GFP_FROM_HEX			 148
 #define EC_F_EC_GROUP_PRECOMPUTE_MULT			 142
 #define EC_F_EC_GROUP_SET_CURVE_GFP			 109
 #define EC_F_EC_GROUP_SET_EXTRA_DATA			 110
 #define EC_F_EC_GROUP_SET_GENERATOR			 111
 #define EC_F_EC_POINTS_MAKE_AFFINE			 136
 #define EC_F_EC_POINTS_MUL				 138
 #define EC_F_EC_POINT_ADD				 112
 #define EC_F_EC_POINT_CMP				 113
 #define EC_F_EC_POINT_COPY				 114
 #define EC_F_EC_POINT_DBL				 115
 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP	 116
 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP	 117
 #define EC_F_EC_POINT_IS_AT_INFINITY			 118
 #define EC_F_EC_POINT_IS_ON_CURVE			 119
 #define EC_F_EC_POINT_MAKE_AFFINE			 120
 #define EC_F_EC_POINT_NEW				 121
 #define EC_F_EC_POINT_OCT2POINT				 122
 #define EC_F_EC_POINT_POINT2OCT				 123
 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP	 124
 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP	 125
 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP	 126
 #define EC_F_EC_POINT_SET_TO_INFINITY			 127
 #define EC_F_GFP_MONT_GROUP_SET_CURVE_GFP		 135
 #define EC_F_I2D_ECDSAPARAMETERS			 158
 #define EC_F_I2D_ECPARAMETERS				 164
 #define EC_F_I2D_ECPKPARAMETERS				 165

 /* Reason codes. */
 #define EC_R_ASN1_ERROR					 130
 #define EC_R_ASN1_UNKNOWN_FIELD				 131
 #define EC_R_BUFFER_TOO_SMALL				 100
 #define EC_R_D2I_ECPARAMETERS_FAILURE			 132
 #define EC_R_D2I_ECPKPARAMETERS_FAILURE			 133
 #define EC_R_D2I_EC_PARAMETERS_FAILURE			 123
 #define EC_R_DISCRIMINANT_IS_ZERO			 118
 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE		 124
 #define EC_R_GROUP2PARAMETERS_FAILURE			 125
 #define EC_R_GROUP2PKPARAMETERS_FAILURE			 134
 #define EC_R_I2D_ECPKPARAMETERS_FAILURE			 135
 #define EC_R_I2D_EC_PARAMETERS_FAILURE			 126
 #define EC_R_INCOMPATIBLE_OBJECTS			 101
 #define EC_R_INVALID_ARGUMENT				 112
 #define EC_R_INVALID_COMPRESSED_POINT			 110
 #define EC_R_INVALID_COMPRESSION_BIT			 109
 #define EC_R_INVALID_ENCODING				 102
 #define EC_R_INVALID_FIELD				 103
 #define EC_R_INVALID_FORM				 104
 #define EC_R_INVALID_GROUP_ORDER			 119
 #define EC_R_MISSING_PARAMETERS				 127
 #define EC_R_NOT_IMPLEMENTED				 136
 #define EC_R_NOT_INITIALIZED				 111
 #define EC_R_NO_SUCH_EXTRA_DATA				 105
 #define EC_R_PARAMETERS2GROUP_FAILURE			 128
 #define EC_R_PKPARAMETERS2GROUP_FAILURE			 137
 #define EC_R_POINT_AT_INFINITY				 106
 #define EC_R_POINT_IS_NOT_ON_CURVE			 107
 #define EC_R_SLOT_FULL					 108
 #define EC_R_UNDEFINED_GENERATOR			 113
 #define EC_R_UNDEFINED_ORDER				 122
 #define EC_R_UNKNOWN_GROUP				 116
 #define EC_R_UNKNOWN_NID				 117
 #define EC_R_UNKNOWN_ORDER				 114
 #define EC_R_UNKNOWN_PARAMETERS_TYPE			 129

 #ifdef  __cplusplus
 }
 #endif
 #endif
	/* crypto/ec/ec.h */
	/* ====================================================================
	* Copyright (c) 1998-2002 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).
	*
	*/

	#ifndef HEADER_EC_H
	#define HEADER_EC_H

	#ifdef OPENSSL_NO_EC
	#error EC is disabled.
	#endif

	#include <openssl/bn.h>
	#include <openssl/asn1.h>
	#include <openssl/symhacks.h>

	#ifdef __cplusplus
	extern "C" {
	#endif


	typedef enum {
	/* values as defined in X9.62 (ECDSA) and elsewhere */
	POINT_CONVERSION_COMPRESSED = 2,
	POINT_CONVERSION_UNCOMPRESSED = 4,
	POINT_CONVERSION_HYBRID = 6
	} point_conversion_form_t;


	typedef struct ec_method_st EC_METHOD;

	typedef struct ec_group_st
	/*
	EC_METHOD *meth;
	-- field definition
	-- curve coefficients
	-- optional generator with associated information (order, cofactor)
	-- optional extra data (TODO: precomputed table for fast computation of multiples of generator)
	-- ASN1 stuff
	*/
	EC_GROUP;

	typedef struct ec_point_st EC_POINT;


	/* EC_METHODs for curves over GF(p).
	* EC_GFp_simple_method provides the basis for the optimized methods.
	*/
	const EC_METHOD *EC_GFp_simple_method(void);
	const EC_METHOD *EC_GFp_mont_method(void);
	#if 0
	const EC_METHOD EC_GFp_recp_method(void); / TODO */
	const EC_METHOD EC_GFp_nist_method(void); / TODO */
	#endif


	EC_GROUP EC_GROUP_new(const EC_METHOD );
	void EC_GROUP_free(EC_GROUP *);
	void EC_GROUP_clear_free(EC_GROUP *);
	int EC_GROUP_copy(EC_GROUP , const EC_GROUP );

	const EC_METHOD EC_GROUP_method_of(const EC_GROUP );
	int EC_METHOD_get_field_type(const EC_METHOD *);

	int EC_GROUP_set_generator(EC_GROUP , const EC_POINT generator, const BIGNUM order, const BIGNUM cofactor);
	EC_POINT EC_GROUP_get0_generator(const EC_GROUP );
	int EC_GROUP_get_order(const EC_GROUP , BIGNUM order, BN_CTX *);
	int EC_GROUP_get_cofactor(const EC_GROUP , BIGNUM cofactor, BN_CTX *);

	void EC_GROUP_set_nid(EC_GROUP , int); / curve name */
	int EC_GROUP_get_nid(const EC_GROUP *);

	void EC_GROUP_set_asn1_flag(EC_GROUP *, int flag);
	int EC_GROUP_get_asn1_flag(const EC_GROUP *);

	void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
	point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);

	unsigned char EC_GROUP_get0_seed(const EC_GROUP );
	size_t EC_GROUP_get_seed_len(const EC_GROUP *);
	size_t EC_GROUP_set_seed(EC_GROUP , const unsigned char , size_t len);

	/* We don't have types for field specifications and field elements in general.
	* Otherwise we could declare
	* int EC_GROUP_set_curve(EC_GROUP *, .....);
	*/
	int EC_GROUP_set_curve_GFp(EC_GROUP , const BIGNUM p, const BIGNUM a, const BIGNUM b, BN_CTX *);
	int EC_GROUP_get_curve_GFp(const EC_GROUP , BIGNUM p, BIGNUM a, BIGNUM b, BN_CTX *);

	/* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */
	int EC_GROUP_check(const EC_GROUP group, BN_CTX ctx);
	/* EC_GROUP_check_discriminant() returns 1 if the discriminant of the
	* elliptic curve is not zero, 0 otherwise */
	int EC_GROUP_check_discriminant(const EC_GROUP , BN_CTX );

	/* EC_GROUP_new_GFp() calls EC_GROUP_new() and EC_GROUP_set_GFp()
	* after choosing an appropriate EC_METHOD */
	EC_GROUP EC_GROUP_new_curve_GFp(const BIGNUM p, const BIGNUM a, const BIGNUM b, BN_CTX *);

	/* EC_GROUP_new_by_nid() and EC_GROUP_new_by_name() also set
	* generator and order */
	EC_GROUP *EC_GROUP_new_by_nid(int nid);
	EC_GROUP *EC_GROUP_new_by_name(int name);
	/* Currently valid arguments to EC_GROUP_new_by_name() */
	#define EC_GROUP_NO_CURVE 0
	#define EC_GROUP_NIST_PRIME_192 NID_X9_62_prime192v1
	#define EC_GROUP_NIST_PRIME_224 NID_secp224r1
	#define EC_GROUP_NIST_PRIME_256 NID_X9_62_prime256v1
	#define EC_GROUP_NIST_PRIME_384 NID_secp384r1
	#define EC_GROUP_NIST_PRIME_521 NID_secp521r1
	#define EC_GROUP_X9_62_PRIME_192V1 NID_X9_62_prime192v1
	#define EC_GROUP_X9_62_PRIME_192V2 NID_X9_62_prime192v2
	#define EC_GROUP_X9_62_PRIME_192V3 NID_X9_62_prime192v3
	#define EC_GROUP_X9_62_PRIME_239V1 NID_X9_62_prime239v1
	#define EC_GROUP_X9_62_PRIME_239V2 NID_X9_62_prime239v2
	#define EC_GROUP_X9_62_PRIME_239V3 NID_X9_62_prime239v3
	#define EC_GROUP_X9_62_PRIME_256V1 NID_X9_62_prime256v1
	#define EC_GROUP_SECG_PRIME_112R1 NID_secp112r1
	#define EC_GROUP_SECG_PRIME_112R2 NID_secp112r2
	#define EC_GROUP_SECG_PRIME_128R1 NID_secp128r1
	#define EC_GROUP_SECG_PRIME_128R2 NID_secp128r2
	#define EC_GROUP_SECG_PRIME_160K1 NID_secp160k1
	#define EC_GROUP_SECG_PRIME_160R1 NID_secp160r1
	#define EC_GROUP_SECG_PRIME_160R2 NID_secp160r2
	#define EC_GROUP_SECG_PRIME_192K1 NID_secp192k1
	#define EC_GROUP_SECG_PRIME_192R1 NID_X9_62_prime192v1
	#define EC_GROUP_SECG_PRIME_224K1 NID_secp224k1
	#define EC_GROUP_SECG_PRIME_224R1 NID_secp224r1
	#define EC_GROUP_SECG_PRIME_256K1 NID_secp256k1
	#define EC_GROUP_SECG_PRIME_256R1 NID_X9_62_prime256v1
	#define EC_GROUP_SECG_PRIME_384R1 NID_secp384r1
	#define EC_GROUP_SECG_PRIME_521R1 NID_secp521r1
	#define EC_GROUP_WTLS_6 NID_wap_wsg_idm_ecid_wtls6
	#define EC_GROUP_WTLS_7 NID_secp160r1
	#define EC_GROUP_WTLS_8 NID_wap_wsg_idm_ecid_wtls8
	#define EC_GROUP_WTLS_9 NID_wap_wsg_idm_ecid_wtls9
	#define EC_GROUP_WTLS_12 NID_secp224r1

	EC_POINT EC_POINT_new(const EC_GROUP );
	void EC_POINT_free(EC_POINT *);
	void EC_POINT_clear_free(EC_POINT *);
	int EC_POINT_copy(EC_POINT , const EC_POINT );

	const EC_METHOD EC_POINT_method_of(const EC_POINT );

	int EC_POINT_set_to_infinity(const EC_GROUP , EC_POINT );
	int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP , EC_POINT ,
	const BIGNUM x, const BIGNUM y, const BIGNUM z, BN_CTX );
	int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP , const EC_POINT ,
	BIGNUM x, BIGNUM y, BIGNUM z, BN_CTX );
	int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP , EC_POINT ,
	const BIGNUM x, const BIGNUM y, BN_CTX *);
	int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP , const EC_POINT ,
	BIGNUM x, BIGNUM y, BN_CTX *);
	int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP , EC_POINT ,
	const BIGNUM x, int y_bit, BN_CTX );

	size_t EC_POINT_point2oct(const EC_GROUP , const EC_POINT , point_conversion_form_t form,
	unsigned char buf, size_t len, BN_CTX );
	int EC_POINT_oct2point(const EC_GROUP , EC_POINT ,
	const unsigned char buf, size_t len, BN_CTX );

	/* other interfaces to point2oct/oct2point: */
	BIGNUM EC_POINT_point2bn(const EC_GROUP , const EC_POINT *,
	point_conversion_form_t form, BIGNUM , BN_CTX );
	EC_POINT EC_POINT_bn2point(const EC_GROUP , const BIGNUM *,
	EC_POINT , BN_CTX );
	char EC_POINT_point2hex(const EC_GROUP , const EC_POINT *,
	point_conversion_form_t form, BN_CTX *);
	EC_POINT EC_POINT_hex2point(const EC_GROUP , const char *,
	EC_POINT , BN_CTX );

	int EC_POINT_add(const EC_GROUP , EC_POINT r, const EC_POINT a, const EC_POINT b, BN_CTX *);
	int EC_POINT_dbl(const EC_GROUP , EC_POINT r, const EC_POINT a, BN_CTX );
	int EC_POINT_invert(const EC_GROUP , EC_POINT , BN_CTX *);

	int EC_POINT_is_at_infinity(const EC_GROUP , const EC_POINT );
	int EC_POINT_is_on_curve(const EC_GROUP , const EC_POINT , BN_CTX *);
	int EC_POINT_cmp(const EC_GROUP , const EC_POINT a, const EC_POINT b, BN_CTX );

	int EC_POINT_make_affine(const EC_GROUP , EC_POINT , BN_CTX *);
	int EC_POINTs_make_affine(const EC_GROUP , size_t num, EC_POINT [], BN_CTX *);


	int EC_POINTs_mul(const EC_GROUP , EC_POINT r, const BIGNUM , size_t num, const EC_POINT [], const BIGNUM [], BN_CTX );
	int EC_POINT_mul(const EC_GROUP , EC_POINT r, const BIGNUM , const EC_POINT , const BIGNUM , BN_CTX );
	int EC_GROUP_precompute_mult(EC_GROUP , BN_CTX );



	/* ASN1 stuff */
	#define OPENSSL_EC_NAMED_CURVE 0x001

	typedef struct ec_parameters_st ECPARAMETERS;
	typedef struct ecpk_parameters_st ECPKPARAMETERS;

	DECLARE_ASN1_ITEM(ECPARAMETERS)
	DECLARE_ASN1_ITEM(ECPKPARAMETERS)
	DECLARE_ASN1_ENCODE_FUNCTIONS_const(ECPARAMETERS, ECPARAMETERS)
	DECLARE_ASN1_ENCODE_FUNCTIONS_const(ECPKPARAMETERS, ECPKPARAMETERS)

	EC_GROUP EC_ASN1_pkparameters2group(const ECPKPARAMETERS );
	ECPKPARAMETERS EC_ASN1_group2pkparameters(const EC_GROUP , ECPKPARAMETERS *);


	EC_GROUP d2i_ECParameters(EC_GROUP , const unsigned char *in, long len);
	int i2d_ECParameters(const EC_GROUP , unsigned char *out);

	EC_GROUP d2i_ECPKParameters(EC_GROUP , const unsigned char *in, long len);
	int i2d_ECPKParameters(const EC_GROUP , unsigned char *out);

	#define d2i_ECPKParameters_bio(bp,x) (EC_GROUP *)ASN1_d2i_bio(NULL, \
	(char ()())d2i_ECPKParameters,(bp),(unsigned char **)(x))
	#define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio(i2d_ECPKParameters,(bp), \
	(unsigned char *)(x))
	#define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
	(char ()())d2i_ECPKParameters,(fp),(unsigned char **)(x))
	#define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
	(unsigned char *)(x))

	#ifndef OPENSSL_NO_BIO
	int ECPKParameters_print(BIO bp, const EC_GROUP x, int off);
	#endif
	#ifndef OPENSSL_NO_FP_API
	int ECPKParameters_print_fp(FILE fp, const EC_GROUP x, int off);
	#endif


	/* BEGIN ERROR CODES */
	/* The following lines are auto generated by the script mkerr.pl. Any changes
	* made after this point may be overwritten when the script is next run.
	*/
	void ERR_load_EC_strings(void);

	/* Error codes for the EC functions. */

	/* Function codes. */
	#define EC_F_COMPUTE_WNAF 143
	#define EC_F_D2I_ECDSAPARAMETERS 154
	#define EC_F_D2I_ECPARAMETERS 155
	#define EC_F_D2I_ECPKPARAMETERS 161
	#define EC_F_ECPKPARAMETERS_PRINT 166
	#define EC_F_ECPKPARAMETERS_PRINT_FP 167
	#define EC_F_EC_ASN1_GROUP2CURVE 159
	#define EC_F_EC_ASN1_GROUP2FIELDID 156
	#define EC_F_EC_ASN1_GROUP2PARAMETERS 160
	#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 162
	#define EC_F_EC_ASN1_PARAMETERS2GROUP 157
	#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 163
	#define EC_F_EC_GFP_MONT_FIELD_DECODE 133
	#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
	#define EC_F_EC_GFP_MONT_FIELD_MUL 131
	#define EC_F_EC_GFP_MONT_FIELD_SQR 132
	#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 152
	#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
	#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
	#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
	#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
	#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
	#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
	#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
	#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
	#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
	#define EC_F_EC_GROUP_CHECK 150
	#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 153
	#define EC_F_EC_GROUP_COPY 106
	#define EC_F_EC_GROUP_GET0_GENERATOR 139
	#define EC_F_EC_GROUP_GET_COFACTOR 140
	#define EC_F_EC_GROUP_GET_CURVE_GFP 130
	#define EC_F_EC_GROUP_GET_EXTRA_DATA 107
	#define EC_F_EC_GROUP_GET_ORDER 141
	#define EC_F_EC_GROUP_GROUP2NID 147
	#define EC_F_EC_GROUP_NEW 108
	#define EC_F_EC_GROUP_NEW_BY_NAME 144
	#define EC_F_EC_GROUP_NEW_BY_NID 146
	#define EC_F_EC_GROUP_NEW_GFP_FROM_HEX 148
	#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
	#define EC_F_EC_GROUP_SET_CURVE_GFP 109
	#define EC_F_EC_GROUP_SET_EXTRA_DATA 110
	#define EC_F_EC_GROUP_SET_GENERATOR 111
	#define EC_F_EC_POINTS_MAKE_AFFINE 136
	#define EC_F_EC_POINTS_MUL 138
	#define EC_F_EC_POINT_ADD 112
	#define EC_F_EC_POINT_CMP 113
	#define EC_F_EC_POINT_COPY 114
	#define EC_F_EC_POINT_DBL 115
	#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
	#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
	#define EC_F_EC_POINT_IS_AT_INFINITY 118
	#define EC_F_EC_POINT_IS_ON_CURVE 119
	#define EC_F_EC_POINT_MAKE_AFFINE 120
	#define EC_F_EC_POINT_NEW 121
	#define EC_F_EC_POINT_OCT2POINT 122
	#define EC_F_EC_POINT_POINT2OCT 123
	#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
	#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
	#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
	#define EC_F_EC_POINT_SET_TO_INFINITY 127
	#define EC_F_GFP_MONT_GROUP_SET_CURVE_GFP 135
	#define EC_F_I2D_ECDSAPARAMETERS 158
	#define EC_F_I2D_ECPARAMETERS 164
	#define EC_F_I2D_ECPKPARAMETERS 165

	/* Reason codes. */
	#define EC_R_ASN1_ERROR 130
	#define EC_R_ASN1_UNKNOWN_FIELD 131
	#define EC_R_BUFFER_TOO_SMALL 100
	#define EC_R_D2I_ECPARAMETERS_FAILURE 132
	#define EC_R_D2I_ECPKPARAMETERS_FAILURE 133
	#define EC_R_D2I_EC_PARAMETERS_FAILURE 123
	#define EC_R_DISCRIMINANT_IS_ZERO 118
	#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 124
	#define EC_R_GROUP2PARAMETERS_FAILURE 125
	#define EC_R_GROUP2PKPARAMETERS_FAILURE 134
	#define EC_R_I2D_ECPKPARAMETERS_FAILURE 135
	#define EC_R_I2D_EC_PARAMETERS_FAILURE 126
	#define EC_R_INCOMPATIBLE_OBJECTS 101
	#define EC_R_INVALID_ARGUMENT 112
	#define EC_R_INVALID_COMPRESSED_POINT 110
	#define EC_R_INVALID_COMPRESSION_BIT 109
	#define EC_R_INVALID_ENCODING 102
	#define EC_R_INVALID_FIELD 103
	#define EC_R_INVALID_FORM 104
	#define EC_R_INVALID_GROUP_ORDER 119
	#define EC_R_MISSING_PARAMETERS 127
	#define EC_R_NOT_IMPLEMENTED 136
	#define EC_R_NOT_INITIALIZED 111
	#define EC_R_NO_SUCH_EXTRA_DATA 105
	#define EC_R_PARAMETERS2GROUP_FAILURE 128
	#define EC_R_PKPARAMETERS2GROUP_FAILURE 137
	#define EC_R_POINT_AT_INFINITY 106
	#define EC_R_POINT_IS_NOT_ON_CURVE 107
	#define EC_R_SLOT_FULL 108
	#define EC_R_UNDEFINED_GENERATOR 113
	#define EC_R_UNDEFINED_ORDER 122
	#define EC_R_UNKNOWN_GROUP 116
	#define EC_R_UNKNOWN_NID 117
	#define EC_R_UNKNOWN_ORDER 114
	#define EC_R_UNKNOWN_PARAMETERS_TYPE 129

	#ifdef __cplusplus
	}
	#endif
	#endif