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

Classes
struct	EC_builtin_curve

Macros
#define	OPENSSL_ECC_MAX_FIELD_BITS 661

#define	OPENSSL_EC_NAMED_CURVE 0x001

#define	d2i_ECPKParameters_bio(bp, x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)

#define	i2d_ECPKParameters_bio(bp, x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)

#define	d2i_ECPKParameters_fp(fp, x)

#define	i2d_ECPKParameters_fp(fp, x)

#define	EC_PKEY_NO_PARAMETERS 0x001

#define	EC_PKEY_NO_PUBKEY 0x002

#define	EC_FLAG_NON_FIPS_ALLOW 0x1

#define	EC_FLAG_FIPS_CHECKED 0x2

#define	ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)

#define	EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid)

#define	EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)

#define	EC_F_BN_TO_FELEM 224

#define	EC_F_COMPUTE_WNAF 143

#define	EC_F_D2I_ECPARAMETERS 144

#define	EC_F_D2I_ECPKPARAMETERS 145

#define	EC_F_D2I_ECPRIVATEKEY 146

#define	EC_F_DO_EC_KEY_PRINT 221

#define	EC_F_ECKEY_PARAM2TYPE 223

#define	EC_F_ECKEY_PARAM_DECODE 212

#define	EC_F_ECKEY_PRIV_DECODE 213

#define	EC_F_ECKEY_PRIV_ENCODE 214

#define	EC_F_ECKEY_PUB_DECODE 215

#define	EC_F_ECKEY_PUB_ENCODE 216

#define	EC_F_ECKEY_TYPE2PARAM 220

#define	EC_F_ECPARAMETERS_PRINT 147

#define	EC_F_ECPARAMETERS_PRINT_FP 148

#define	EC_F_ECPKPARAMETERS_PRINT 149

#define	EC_F_ECPKPARAMETERS_PRINT_FP 150

#define	EC_F_ECP_NIST_MOD_192 203

#define	EC_F_ECP_NIST_MOD_224 204

#define	EC_F_ECP_NIST_MOD_256 205

#define	EC_F_ECP_NIST_MOD_521 206

#define	EC_F_EC_ASN1_GROUP2CURVE 153

#define	EC_F_EC_ASN1_GROUP2FIELDID 154

#define	EC_F_EC_ASN1_GROUP2PARAMETERS 155

#define	EC_F_EC_ASN1_GROUP2PKPARAMETERS 156

#define	EC_F_EC_ASN1_PARAMETERS2GROUP 157

#define	EC_F_EC_ASN1_PKPARAMETERS2GROUP 158

#define	EC_F_EC_EX_DATA_SET_DATA 211

#define	EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208

#define	EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159

#define	EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195

#define	EC_F_EC_GF2M_SIMPLE_OCT2POINT 160

#define	EC_F_EC_GF2M_SIMPLE_POINT2OCT 161

#define	EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162

#define	EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163

#define	EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164

#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_SET_TO_ONE 209

#define	EC_F_EC_GFP_MONT_FIELD_SQR 132

#define	EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189

#define	EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135

#define	EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225

#define	EC_F_EC_GFP_NISTP224_POINTS_MUL 228

#define	EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226

#define	EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230

#define	EC_F_EC_GFP_NISTP256_POINTS_MUL 231

#define	EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232

#define	EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233

#define	EC_F_EC_GFP_NISTP521_POINTS_MUL 234

#define	EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235

#define	EC_F_EC_GFP_NIST_FIELD_MUL 200

#define	EC_F_EC_GFP_NIST_FIELD_SQR 201

#define	EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202

#define	EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165

#define	EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166

#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 167

#define	EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105

#define	EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168

#define	EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128

#define	EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169

#define	EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129

#define	EC_F_EC_GROUP_CHECK 170

#define	EC_F_EC_GROUP_CHECK_DISCRIMINANT 171

#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_GF2M 172

#define	EC_F_EC_GROUP_GET_CURVE_GFP 130

#define	EC_F_EC_GROUP_GET_DEGREE 173

#define	EC_F_EC_GROUP_GET_ORDER 141

#define	EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193

#define	EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194

#define	EC_F_EC_GROUP_NEW 108

#define	EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174

#define	EC_F_EC_GROUP_NEW_FROM_DATA 175

#define	EC_F_EC_GROUP_PRECOMPUTE_MULT 142

#define	EC_F_EC_GROUP_SET_CURVE_GF2M 176

#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_KEY_CHECK_KEY 177

#define	EC_F_EC_KEY_COPY 178

#define	EC_F_EC_KEY_GENERATE_KEY 179

#define	EC_F_EC_KEY_NEW 182

#define	EC_F_EC_KEY_PRINT 180

#define	EC_F_EC_KEY_PRINT_FP 181

#define	EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229

#define	EC_F_EC_POINTS_MAKE_AFFINE 136

#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_GF2M 183

#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_INVERT 210

#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_MUL 184

#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_GF2M 185

#define	EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124

#define	EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186

#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_EC_PRE_COMP_DUP 207

#define	EC_F_EC_PRE_COMP_NEW 196

#define	EC_F_EC_WNAF_MUL 187

#define	EC_F_EC_WNAF_PRECOMPUTE_MULT 188

#define	EC_F_I2D_ECPARAMETERS 190

#define	EC_F_I2D_ECPKPARAMETERS 191

#define	EC_F_I2D_ECPRIVATEKEY 192

#define	EC_F_I2O_ECPUBLICKEY 151

#define	EC_F_NISTP224_PRE_COMP_NEW 227

#define	EC_F_NISTP256_PRE_COMP_NEW 236

#define	EC_F_NISTP521_PRE_COMP_NEW 237

#define	EC_F_O2I_ECPUBLICKEY 152

#define	EC_F_OLD_EC_PRIV_DECODE 222

#define	EC_F_PKEY_EC_CTRL 197

#define	EC_F_PKEY_EC_CTRL_STR 198

#define	EC_F_PKEY_EC_DERIVE 217

#define	EC_F_PKEY_EC_KEYGEN 199

#define	EC_F_PKEY_EC_PARAMGEN 219

#define	EC_F_PKEY_EC_SIGN 218

#define	EC_R_ASN1_ERROR 115

#define	EC_R_ASN1_UNKNOWN_FIELD 116

#define	EC_R_BIGNUM_OUT_OF_RANGE 144

#define	EC_R_BUFFER_TOO_SMALL 100

#define	EC_R_COORDINATES_OUT_OF_RANGE 146

#define	EC_R_D2I_ECPKPARAMETERS_FAILURE 117

#define	EC_R_DECODE_ERROR 142

#define	EC_R_DISCRIMINANT_IS_ZERO 118

#define	EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119

#define	EC_R_FIELD_TOO_LARGE 143

#define	EC_R_GF2M_NOT_SUPPORTED 147

#define	EC_R_GROUP2PKPARAMETERS_FAILURE 120

#define	EC_R_I2D_ECPKPARAMETERS_FAILURE 121

#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_CURVE 141

#define	EC_R_INVALID_DIGEST_TYPE 138

#define	EC_R_INVALID_ENCODING 102

#define	EC_R_INVALID_FIELD 103

#define	EC_R_INVALID_FORM 104

#define	EC_R_INVALID_GROUP_ORDER 122

#define	EC_R_INVALID_PENTANOMIAL_BASIS 132

#define	EC_R_INVALID_PRIVATE_KEY 123

#define	EC_R_INVALID_TRINOMIAL_BASIS 137

#define	EC_R_KEYS_NOT_SET 140

#define	EC_R_MISSING_PARAMETERS 124

#define	EC_R_MISSING_PRIVATE_KEY 125

#define	EC_R_NOT_A_NIST_PRIME 135

#define	EC_R_NOT_A_SUPPORTED_NIST_PRIME 136

#define	EC_R_NOT_IMPLEMENTED 126

#define	EC_R_NOT_INITIALIZED 111

#define	EC_R_NO_FIELD_MOD 133

#define	EC_R_NO_PARAMETERS_SET 139

#define	EC_R_PASSED_NULL_PARAMETER 134

#define	EC_R_PKPARAMETERS2GROUP_FAILURE 127

#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 128

#define	EC_R_UNKNOWN_GROUP 129

#define	EC_R_UNKNOWN_ORDER 114

#define	EC_R_UNSUPPORTED_FIELD 131

#define	EC_R_WRONG_CURVE_PARAMETERS 145

#define	EC_R_WRONG_ORDER 130

Typedefs
typedef struct ec_method_st	EC_METHOD

typedef struct ec_group_st	EC_GROUP

typedef struct ec_point_st	EC_POINT

typedef struct ecpk_parameters_st	ECPKPARAMETERS

typedef struct ec_key_st	EC_KEY

Enumerations
enum	point_conversion_form_t { POINT_CONVERSION_COMPRESSED = 2, POINT_CONVERSION_UNCOMPRESSED = 4, POINT_CONVERSION_HYBRID = 6, POINT_CONVERSION_COMPRESSED = 2, POINT_CONVERSION_UNCOMPRESSED = 4, POINT_CONVERSION_HYBRID = 6 }

Functions
const EC_METHOD *	EC_GFp_simple_method (void)

const EC_METHOD *	EC_GFp_mont_method (void)

const EC_METHOD *	EC_GFp_nist_method (void)

const EC_METHOD *	EC_GFp_nistp224_method (void)

const EC_METHOD *	EC_GFp_nistp256_method (void)

const EC_METHOD *	EC_GFp_nistp521_method (void)

const EC_METHOD *	EC_GF2m_simple_method (void)

EC_GROUP *	EC_GROUP_new (const EC_METHOD *meth)

void	EC_GROUP_free (EC_GROUP *group)

void	EC_GROUP_clear_free (EC_GROUP *group)

int	EC_GROUP_copy (EC_GROUP dst, const EC_GROUP src)

EC_GROUP *	EC_GROUP_dup (const EC_GROUP *src)

const EC_METHOD *	EC_GROUP_method_of (const EC_GROUP *group)

int	EC_METHOD_get_field_type (const EC_METHOD *meth)

int	EC_GROUP_set_generator (EC_GROUP group, const EC_POINT generator, const BIGNUM order, const BIGNUM cofactor)

const EC_POINT *	EC_GROUP_get0_generator (const EC_GROUP *group)

int	EC_GROUP_get_order (const EC_GROUP group, BIGNUM order, BN_CTX *ctx)

int	EC_GROUP_get_cofactor (const EC_GROUP group, BIGNUM cofactor, BN_CTX *ctx)

void	EC_GROUP_set_curve_name (EC_GROUP *group, int nid)

int	EC_GROUP_get_curve_name (const EC_GROUP *group)

void	EC_GROUP_set_asn1_flag (EC_GROUP *group, int flag)

int	EC_GROUP_get_asn1_flag (const EC_GROUP *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)

int	EC_GROUP_set_curve_GFp (EC_GROUP group, const BIGNUM p, const BIGNUM a, const BIGNUM b, BN_CTX *ctx)

int	EC_GROUP_get_curve_GFp (const EC_GROUP group, BIGNUM p, BIGNUM a, BIGNUM b, BN_CTX *ctx)

int	EC_GROUP_set_curve_GF2m (EC_GROUP group, const BIGNUM p, const BIGNUM a, const BIGNUM b, BN_CTX *ctx)

int	EC_GROUP_get_curve_GF2m (const EC_GROUP group, BIGNUM p, BIGNUM a, BIGNUM b, BN_CTX *ctx)

int	EC_GROUP_get_degree (const EC_GROUP *group)

int	EC_GROUP_check (const EC_GROUP group, BN_CTX ctx)

int	EC_GROUP_check_discriminant (const EC_GROUP group, BN_CTX ctx)

int	EC_GROUP_cmp (const EC_GROUP a, const EC_GROUP b, BN_CTX *ctx)

EC_GROUP *	EC_GROUP_new_curve_GFp (const BIGNUM p, const BIGNUM a, const BIGNUM b, BN_CTX ctx)

EC_GROUP *	EC_GROUP_new_curve_GF2m (const BIGNUM p, const BIGNUM a, const BIGNUM b, BN_CTX ctx)

EC_GROUP *	EC_GROUP_new_by_curve_name (int nid)

size_t	EC_get_builtin_curves (EC_builtin_curve *r, size_t nitems)

EC_POINT *	EC_POINT_new (const EC_GROUP *group)

void	EC_POINT_free (EC_POINT *point)

void	EC_POINT_clear_free (EC_POINT *point)

int	EC_POINT_copy (EC_POINT dst, const EC_POINT src)

EC_POINT *	EC_POINT_dup (const EC_POINT src, const EC_GROUP group)

const EC_METHOD *	EC_POINT_method_of (const EC_POINT *point)

int	EC_POINT_set_to_infinity (const EC_GROUP group, EC_POINT point)

int	EC_POINT_set_Jprojective_coordinates_GFp (const EC_GROUP group, EC_POINT p, const BIGNUM x, const BIGNUM y, const BIGNUM z, BN_CTX ctx)

int	EC_POINT_get_Jprojective_coordinates_GFp (const EC_GROUP group, const EC_POINT p, BIGNUM x, BIGNUM y, BIGNUM z, BN_CTX ctx)

int	EC_POINT_set_affine_coordinates_GFp (const EC_GROUP group, EC_POINT p, const BIGNUM x, const BIGNUM y, BN_CTX *ctx)

int	EC_POINT_get_affine_coordinates_GFp (const EC_GROUP group, const EC_POINT p, BIGNUM x, BIGNUM y, BN_CTX *ctx)

int	EC_POINT_set_compressed_coordinates_GFp (const EC_GROUP group, EC_POINT p, const BIGNUM x, int y_bit, BN_CTX ctx)

int	EC_POINT_set_affine_coordinates_GF2m (const EC_GROUP group, EC_POINT p, const BIGNUM x, const BIGNUM y, BN_CTX *ctx)

int	EC_POINT_get_affine_coordinates_GF2m (const EC_GROUP group, const EC_POINT p, BIGNUM x, BIGNUM y, BN_CTX *ctx)

int	EC_POINT_set_compressed_coordinates_GF2m (const EC_GROUP group, EC_POINT p, const BIGNUM x, int y_bit, BN_CTX ctx)

size_t	EC_POINT_point2oct (const EC_GROUP group, const EC_POINT p, point_conversion_form_t form, unsigned char buf, size_t len, BN_CTX ctx)

int	EC_POINT_oct2point (const EC_GROUP group, EC_POINT p, const unsigned char buf, size_t len, BN_CTX ctx)

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 group, EC_POINT r, const EC_POINT a, const EC_POINT b, BN_CTX *ctx)

int	EC_POINT_dbl (const EC_GROUP group, EC_POINT r, const EC_POINT a, BN_CTX ctx)

int	EC_POINT_invert (const EC_GROUP group, EC_POINT a, BN_CTX *ctx)

int	EC_POINT_is_at_infinity (const EC_GROUP group, const EC_POINT p)

int	EC_POINT_is_on_curve (const EC_GROUP group, const EC_POINT point, BN_CTX *ctx)

int	EC_POINT_cmp (const EC_GROUP group, const EC_POINT a, const EC_POINT b, BN_CTX 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 group, EC_POINT r, const BIGNUM n, size_t num, const EC_POINT p[], const BIGNUM m[], BN_CTX ctx)

int	EC_POINT_mul (const EC_GROUP group, EC_POINT r, const BIGNUM n, const EC_POINT q, const BIGNUM m, BN_CTX ctx)

int	EC_GROUP_precompute_mult (EC_GROUP group, BN_CTX ctx)

int	EC_GROUP_have_precompute_mult (const EC_GROUP *group)

int	EC_GROUP_get_basis_type (const EC_GROUP *)

int	EC_GROUP_get_trinomial_basis (const EC_GROUP , unsigned int k)

int	EC_GROUP_get_pentanomial_basis (const EC_GROUP , unsigned int k1, unsigned int k2, unsigned int k3)

EC_GROUP *	d2i_ECPKParameters (EC_GROUP , const unsigned char in, long len)

int	i2d_ECPKParameters (const EC_GROUP , unsigned char *out)

int	ECPKParameters_print (BIO bp, const EC_GROUP x, int off)

int	ECPKParameters_print_fp (FILE fp, const EC_GROUP x, int off)

EC_KEY *	EC_KEY_new (void)

int	EC_KEY_get_flags (const EC_KEY *key)

void	EC_KEY_set_flags (EC_KEY *key, int flags)

void	EC_KEY_clear_flags (EC_KEY *key, int flags)

EC_KEY *	EC_KEY_new_by_curve_name (int nid)

void	EC_KEY_free (EC_KEY *key)

EC_KEY *	EC_KEY_copy (EC_KEY dst, const EC_KEY src)

EC_KEY *	EC_KEY_dup (const EC_KEY *src)

int	EC_KEY_up_ref (EC_KEY *key)

const EC_GROUP *	EC_KEY_get0_group (const EC_KEY *key)

int	EC_KEY_set_group (EC_KEY key, const EC_GROUP group)

const BIGNUM *	EC_KEY_get0_private_key (const EC_KEY *key)

int	EC_KEY_set_private_key (EC_KEY key, const BIGNUM prv)

const EC_POINT *	EC_KEY_get0_public_key (const EC_KEY *key)

int	EC_KEY_set_public_key (EC_KEY key, const EC_POINT pub)

unsigned	EC_KEY_get_enc_flags (const EC_KEY *key)

void	EC_KEY_set_enc_flags (EC_KEY *, unsigned int)

point_conversion_form_t	EC_KEY_get_conv_form (const EC_KEY *)

void	EC_KEY_set_conv_form (EC_KEY *, point_conversion_form_t)

void *	EC_KEY_get_key_method_data (EC_KEY , void (dup_func)(void ), void(free_func)(void ), void(clear_free_func)(void ))

void	EC_KEY_insert_key_method_data (EC_KEY , void data, void (dup_func)(void ), void(free_func)(void ), void(clear_free_func)(void *))

void	EC_KEY_set_asn1_flag (EC_KEY *, int)

int	EC_KEY_precompute_mult (EC_KEY key, BN_CTX ctx)

int	EC_KEY_generate_key (EC_KEY *key)

int	EC_KEY_check_key (const EC_KEY *key)

int	EC_KEY_set_public_key_affine_coordinates (EC_KEY key, BIGNUM x, BIGNUM *y)

EC_KEY *	d2i_ECPrivateKey (EC_KEY key, const unsigned char in, long len)

int	i2d_ECPrivateKey (EC_KEY key, unsigned char *out)

EC_KEY *	d2i_ECParameters (EC_KEY key, const unsigned char in, long len)

int	i2d_ECParameters (EC_KEY key, unsigned char *out)

EC_KEY *	o2i_ECPublicKey (EC_KEY key, const unsigned char in, long len)

int	i2o_ECPublicKey (EC_KEY key, unsigned char *out)

int	ECParameters_print (BIO bp, const EC_KEY key)

int	EC_KEY_print (BIO bp, const EC_KEY key, int off)

int	ECParameters_print_fp (FILE fp, const EC_KEY key)

int	EC_KEY_print_fp (FILE fp, const EC_KEY key, int off)

void	ERR_load_EC_strings (void)

Detailed Description

Include file for the OpenSSL EC functions

Author: Originally written by Bodo Moeller for the OpenSSL project

Definition in file ec.h.

Macro Definition Documentation

#define d2i_ECPKParameters_bio	(	bp,
		x
	)	ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)

Definition at line 689 of file ec.h.

#define d2i_ECPKParameters_fp	(	fp,
		x
	)

Value:

(EC_GROUP *)ASN1_d2i_fp(NULL, \

(char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))

Definition at line 691 of file ec.h.

#define EC_F_BN_TO_FELEM 224

Definition at line 970 of file ec.h.

#define EC_F_COMPUTE_WNAF 143

Definition at line 971 of file ec.h.

#define EC_F_D2I_ECPARAMETERS 144

Definition at line 972 of file ec.h.

#define EC_F_D2I_ECPKPARAMETERS 145

Definition at line 973 of file ec.h.

#define EC_F_D2I_ECPRIVATEKEY 146

Definition at line 974 of file ec.h.

#define EC_F_DO_EC_KEY_PRINT 221

Definition at line 975 of file ec.h.

#define EC_F_EC_ASN1_GROUP2CURVE 153

Definition at line 991 of file ec.h.

#define EC_F_EC_ASN1_GROUP2FIELDID 154

Definition at line 992 of file ec.h.

#define EC_F_EC_ASN1_GROUP2PARAMETERS 155

Definition at line 993 of file ec.h.

#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156

Definition at line 994 of file ec.h.

#define EC_F_EC_ASN1_PARAMETERS2GROUP 157

Definition at line 995 of file ec.h.

#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158

Definition at line 996 of file ec.h.

#define EC_F_EC_EX_DATA_SET_DATA 211

Definition at line 997 of file ec.h.

#define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208

Definition at line 998 of file ec.h.

#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159

Definition at line 999 of file ec.h.

#define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195

Definition at line 1000 of file ec.h.

#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160

Definition at line 1001 of file ec.h.

#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161

Definition at line 1002 of file ec.h.

#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162

Definition at line 1003 of file ec.h.

#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163

Definition at line 1004 of file ec.h.

#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164

Definition at line 1005 of file ec.h.

#define EC_F_EC_GFP_MONT_FIELD_DECODE 133

Definition at line 1006 of file ec.h.

#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134

Definition at line 1007 of file ec.h.

#define EC_F_EC_GFP_MONT_FIELD_MUL 131

Definition at line 1008 of file ec.h.

#define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209

Definition at line 1009 of file ec.h.

#define EC_F_EC_GFP_MONT_FIELD_SQR 132

Definition at line 1010 of file ec.h.

#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189

Definition at line 1011 of file ec.h.

#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135

Definition at line 1012 of file ec.h.

#define EC_F_EC_GFP_NIST_FIELD_MUL 200

Definition at line 1022 of file ec.h.

#define EC_F_EC_GFP_NIST_FIELD_SQR 201

Definition at line 1023 of file ec.h.

#define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202

Definition at line 1024 of file ec.h.

#define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225

Definition at line 1013 of file ec.h.

#define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226

Definition at line 1015 of file ec.h.

#define EC_F_EC_GFP_NISTP224_POINTS_MUL 228

Definition at line 1014 of file ec.h.

#define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230

Definition at line 1016 of file ec.h.

#define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232

Definition at line 1018 of file ec.h.

#define EC_F_EC_GFP_NISTP256_POINTS_MUL 231

Definition at line 1017 of file ec.h.

#define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233

Definition at line 1019 of file ec.h.

#define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235

Definition at line 1021 of file ec.h.

#define EC_F_EC_GFP_NISTP521_POINTS_MUL 234

Definition at line 1020 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165

Definition at line 1025 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166

Definition at line 1026 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100

Definition at line 1027 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101

Definition at line 1028 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102

Definition at line 1029 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103

Definition at line 1030 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104

Definition at line 1031 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167

Definition at line 1033 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105

Definition at line 1034 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168

Definition at line 1035 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128

Definition at line 1036 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137

Definition at line 1032 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169

Definition at line 1037 of file ec.h.

#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129

Definition at line 1038 of file ec.h.

#define EC_F_EC_GROUP_CHECK 170

Definition at line 1039 of file ec.h.

#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171

Definition at line 1040 of file ec.h.

#define EC_F_EC_GROUP_COPY 106

Definition at line 1041 of file ec.h.

#define EC_F_EC_GROUP_GET0_GENERATOR 139

Definition at line 1042 of file ec.h.

#define EC_F_EC_GROUP_GET_COFACTOR 140

Definition at line 1043 of file ec.h.

#define EC_F_EC_GROUP_GET_CURVE_GF2M 172

Definition at line 1044 of file ec.h.

#define EC_F_EC_GROUP_GET_CURVE_GFP 130

Definition at line 1045 of file ec.h.

#define EC_F_EC_GROUP_GET_DEGREE 173

Definition at line 1046 of file ec.h.

#define EC_F_EC_GROUP_GET_ORDER 141

Definition at line 1047 of file ec.h.

#define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193

Definition at line 1048 of file ec.h.

#define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194

Definition at line 1049 of file ec.h.

#define EC_F_EC_GROUP_NEW 108

Definition at line 1050 of file ec.h.

#define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174

Definition at line 1051 of file ec.h.

#define EC_F_EC_GROUP_NEW_FROM_DATA 175

Definition at line 1052 of file ec.h.

#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142

Definition at line 1053 of file ec.h.

#define EC_F_EC_GROUP_SET_CURVE_GF2M 176

Definition at line 1054 of file ec.h.

#define EC_F_EC_GROUP_SET_CURVE_GFP 109

Definition at line 1055 of file ec.h.

#define EC_F_EC_GROUP_SET_EXTRA_DATA 110

Definition at line 1056 of file ec.h.

#define EC_F_EC_GROUP_SET_GENERATOR 111

Definition at line 1057 of file ec.h.

#define EC_F_EC_KEY_CHECK_KEY 177

Definition at line 1058 of file ec.h.

#define EC_F_EC_KEY_COPY 178

Definition at line 1059 of file ec.h.

#define EC_F_EC_KEY_GENERATE_KEY 179

Definition at line 1060 of file ec.h.

#define EC_F_EC_KEY_NEW 182

Definition at line 1061 of file ec.h.

#define EC_F_EC_KEY_PRINT 180

Definition at line 1062 of file ec.h.

#define EC_F_EC_KEY_PRINT_FP 181

Definition at line 1063 of file ec.h.

#define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229

Definition at line 1064 of file ec.h.

#define EC_F_EC_POINT_ADD 112

Definition at line 1066 of file ec.h.

#define EC_F_EC_POINT_CMP 113

Definition at line 1067 of file ec.h.

#define EC_F_EC_POINT_COPY 114

Definition at line 1068 of file ec.h.

#define EC_F_EC_POINT_DBL 115

Definition at line 1069 of file ec.h.

#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183

Definition at line 1070 of file ec.h.

#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116

Definition at line 1071 of file ec.h.

#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117

Definition at line 1072 of file ec.h.

#define EC_F_EC_POINT_INVERT 210

Definition at line 1073 of file ec.h.

#define EC_F_EC_POINT_IS_AT_INFINITY 118

Definition at line 1074 of file ec.h.

#define EC_F_EC_POINT_IS_ON_CURVE 119

Definition at line 1075 of file ec.h.

#define EC_F_EC_POINT_MAKE_AFFINE 120

Definition at line 1076 of file ec.h.

#define EC_F_EC_POINT_MUL 184

Definition at line 1077 of file ec.h.

#define EC_F_EC_POINT_NEW 121

Definition at line 1078 of file ec.h.

#define EC_F_EC_POINT_OCT2POINT 122

Definition at line 1079 of file ec.h.

#define EC_F_EC_POINT_POINT2OCT 123

Definition at line 1080 of file ec.h.

#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185

Definition at line 1081 of file ec.h.

#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124

Definition at line 1082 of file ec.h.

#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186

Definition at line 1083 of file ec.h.

#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125

Definition at line 1084 of file ec.h.

#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126

Definition at line 1085 of file ec.h.

#define EC_F_EC_POINT_SET_TO_INFINITY 127

Definition at line 1086 of file ec.h.

#define EC_F_EC_POINTS_MAKE_AFFINE 136

Definition at line 1065 of file ec.h.

#define EC_F_EC_PRE_COMP_DUP 207

Definition at line 1087 of file ec.h.

#define EC_F_EC_PRE_COMP_NEW 196

Definition at line 1088 of file ec.h.

#define EC_F_EC_WNAF_MUL 187

Definition at line 1089 of file ec.h.

#define EC_F_EC_WNAF_PRECOMPUTE_MULT 188

Definition at line 1090 of file ec.h.

#define EC_F_ECKEY_PARAM2TYPE 223

Definition at line 976 of file ec.h.

#define EC_F_ECKEY_PARAM_DECODE 212

Definition at line 977 of file ec.h.

#define EC_F_ECKEY_PRIV_DECODE 213

Definition at line 978 of file ec.h.

#define EC_F_ECKEY_PRIV_ENCODE 214

Definition at line 979 of file ec.h.

#define EC_F_ECKEY_PUB_DECODE 215

Definition at line 980 of file ec.h.

#define EC_F_ECKEY_PUB_ENCODE 216

Definition at line 981 of file ec.h.

#define EC_F_ECKEY_TYPE2PARAM 220

Definition at line 982 of file ec.h.

#define EC_F_ECP_NIST_MOD_192 203

Definition at line 987 of file ec.h.

#define EC_F_ECP_NIST_MOD_224 204

Definition at line 988 of file ec.h.

#define EC_F_ECP_NIST_MOD_256 205

Definition at line 989 of file ec.h.

#define EC_F_ECP_NIST_MOD_521 206

Definition at line 990 of file ec.h.

#define EC_F_ECPARAMETERS_PRINT 147

Definition at line 983 of file ec.h.

#define EC_F_ECPARAMETERS_PRINT_FP 148

Definition at line 984 of file ec.h.

#define EC_F_ECPKPARAMETERS_PRINT 149

Definition at line 985 of file ec.h.

#define EC_F_ECPKPARAMETERS_PRINT_FP 150

Definition at line 986 of file ec.h.

#define EC_F_I2D_ECPARAMETERS 190

Definition at line 1091 of file ec.h.

#define EC_F_I2D_ECPKPARAMETERS 191

Definition at line 1092 of file ec.h.

#define EC_F_I2D_ECPRIVATEKEY 192

Definition at line 1093 of file ec.h.

#define EC_F_I2O_ECPUBLICKEY 151

Definition at line 1094 of file ec.h.

#define EC_F_NISTP224_PRE_COMP_NEW 227

Definition at line 1095 of file ec.h.

#define EC_F_NISTP256_PRE_COMP_NEW 236

Definition at line 1096 of file ec.h.

#define EC_F_NISTP521_PRE_COMP_NEW 237

Definition at line 1097 of file ec.h.

#define EC_F_O2I_ECPUBLICKEY 152

Definition at line 1098 of file ec.h.

#define EC_F_OLD_EC_PRIV_DECODE 222

Definition at line 1099 of file ec.h.

#define EC_F_PKEY_EC_CTRL 197

Definition at line 1100 of file ec.h.

#define EC_F_PKEY_EC_CTRL_STR 198

Definition at line 1101 of file ec.h.

#define EC_F_PKEY_EC_DERIVE 217

Definition at line 1102 of file ec.h.

#define EC_F_PKEY_EC_KEYGEN 199

Definition at line 1103 of file ec.h.

#define EC_F_PKEY_EC_PARAMGEN 219

Definition at line 1104 of file ec.h.

#define EC_F_PKEY_EC_SIGN 218

Definition at line 1105 of file ec.h.

#define EC_FLAG_FIPS_CHECKED 0x2

Definition at line 716 of file ec.h.

#define EC_FLAG_NON_FIPS_ALLOW 0x1

Definition at line 715 of file ec.h.

#define EC_PKEY_NO_PARAMETERS 0x001

Definition at line 711 of file ec.h.

#define EC_PKEY_NO_PUBKEY 0x002

Definition at line 712 of file ec.h.

#define EC_R_ASN1_ERROR 115

Definition at line 1108 of file ec.h.

#define EC_R_ASN1_UNKNOWN_FIELD 116

Definition at line 1109 of file ec.h.

#define EC_R_BIGNUM_OUT_OF_RANGE 144

Definition at line 1110 of file ec.h.

#define EC_R_BUFFER_TOO_SMALL 100

Definition at line 1111 of file ec.h.

#define EC_R_COORDINATES_OUT_OF_RANGE 146

Definition at line 1112 of file ec.h.

#define EC_R_D2I_ECPKPARAMETERS_FAILURE 117

Definition at line 1113 of file ec.h.

#define EC_R_DECODE_ERROR 142

Definition at line 1114 of file ec.h.

#define EC_R_DISCRIMINANT_IS_ZERO 118

Definition at line 1115 of file ec.h.

#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119

Definition at line 1116 of file ec.h.

#define EC_R_FIELD_TOO_LARGE 143

Definition at line 1117 of file ec.h.

#define EC_R_GF2M_NOT_SUPPORTED 147

Definition at line 1118 of file ec.h.

#define EC_R_GROUP2PKPARAMETERS_FAILURE 120

Definition at line 1119 of file ec.h.

#define EC_R_I2D_ECPKPARAMETERS_FAILURE 121

Definition at line 1120 of file ec.h.

#define EC_R_INCOMPATIBLE_OBJECTS 101

Definition at line 1121 of file ec.h.

#define EC_R_INVALID_ARGUMENT 112

Definition at line 1122 of file ec.h.

#define EC_R_INVALID_COMPRESSED_POINT 110

Definition at line 1123 of file ec.h.

#define EC_R_INVALID_COMPRESSION_BIT 109

Definition at line 1124 of file ec.h.

#define EC_R_INVALID_CURVE 141

Definition at line 1125 of file ec.h.

#define EC_R_INVALID_DIGEST_TYPE 138

Definition at line 1126 of file ec.h.

#define EC_R_INVALID_ENCODING 102

Definition at line 1127 of file ec.h.

#define EC_R_INVALID_FIELD 103

Definition at line 1128 of file ec.h.

#define EC_R_INVALID_FORM 104

Definition at line 1129 of file ec.h.

#define EC_R_INVALID_GROUP_ORDER 122

Definition at line 1130 of file ec.h.

#define EC_R_INVALID_PENTANOMIAL_BASIS 132

Definition at line 1131 of file ec.h.

#define EC_R_INVALID_PRIVATE_KEY 123

Definition at line 1132 of file ec.h.

#define EC_R_INVALID_TRINOMIAL_BASIS 137

Definition at line 1133 of file ec.h.

#define EC_R_KEYS_NOT_SET 140

Definition at line 1134 of file ec.h.

#define EC_R_MISSING_PARAMETERS 124

Definition at line 1135 of file ec.h.

#define EC_R_MISSING_PRIVATE_KEY 125

Definition at line 1136 of file ec.h.

#define EC_R_NO_FIELD_MOD 133

Definition at line 1141 of file ec.h.

#define EC_R_NO_PARAMETERS_SET 139

Definition at line 1142 of file ec.h.

#define EC_R_NOT_A_NIST_PRIME 135

Definition at line 1137 of file ec.h.

#define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136

Definition at line 1138 of file ec.h.

#define EC_R_NOT_IMPLEMENTED 126

Definition at line 1139 of file ec.h.

#define EC_R_NOT_INITIALIZED 111

Definition at line 1140 of file ec.h.

#define EC_R_PASSED_NULL_PARAMETER 134

Definition at line 1143 of file ec.h.

#define EC_R_PKPARAMETERS2GROUP_FAILURE 127

Definition at line 1144 of file ec.h.

#define EC_R_POINT_AT_INFINITY 106

Definition at line 1145 of file ec.h.

#define EC_R_POINT_IS_NOT_ON_CURVE 107

Definition at line 1146 of file ec.h.

#define EC_R_SLOT_FULL 108

Definition at line 1147 of file ec.h.

#define EC_R_UNDEFINED_GENERATOR 113

Definition at line 1148 of file ec.h.

#define EC_R_UNDEFINED_ORDER 128

Definition at line 1149 of file ec.h.

#define EC_R_UNKNOWN_GROUP 129

Definition at line 1150 of file ec.h.

#define EC_R_UNKNOWN_ORDER 114

Definition at line 1151 of file ec.h.

#define EC_R_UNSUPPORTED_FIELD 131

Definition at line 1152 of file ec.h.

#define EC_R_WRONG_CURVE_PARAMETERS 145

Definition at line 1153 of file ec.h.

#define EC_R_WRONG_ORDER 130

Definition at line 1154 of file ec.h.

#define ECParameters_dup ( x ) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)

Definition at line 944 of file ec.h.

#define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)

Definition at line 959 of file ec.h.

#define EVP_PKEY_CTX_set_ec_paramgen_curve_nid	(	ctx,
		nid
	)

Value:

EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \

EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)

Definition at line 954 of file ec.h.

#define i2d_ECPKParameters_bio	(	bp,
		x
	)	ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)

Definition at line 690 of file ec.h.

#define i2d_ECPKParameters_fp	(	fp,
		x
	)

Value:

ASN1_i2d_fp(i2d_ECPKParameters,(fp), \

(unsigned char *)(x))

Definition at line 693 of file ec.h.

#define OPENSSL_EC_NAMED_CURVE 0x001

Definition at line 682 of file ec.h.

#define OPENSSL_ECC_MAX_FIELD_BITS 661

Definition at line 101 of file ec.h.

Typedef Documentation

typedef struct ec_group_st EC_GROUP

Definition at line 120 of file ec.h.

typedef struct ec_key_st EC_KEY

Definition at line 708 of file ec.h.

typedef struct ec_method_st EC_METHOD

Definition at line 118 of file ec.h.

typedef struct ec_point_st EC_POINT

Definition at line 131 of file ec.h.

typedef struct ecpk_parameters_st ECPKPARAMETERS

Definition at line 684 of file ec.h.

Enumeration Type Documentation

enum point_conversion_form_t

Enum for the point conversion form as defined in X9.62 (ECDSA) for the encoding of a elliptic curve point (x,y)

Enumerator:

POINT_CONVERSION_COMPRESSED	the point is encoded as z\|\|x, where the octet z specifies which solution of the quadratic equation y is
POINT_CONVERSION_UNCOMPRESSED	the point is encoded as z\|\|x\|\|y, where z is the octet 0x02
POINT_CONVERSION_HYBRID	the point is encoded as z\|\|x\|\|y, where the octet z specifies which solution of the quadratic equation y is
POINT_CONVERSION_COMPRESSED	the point is encoded as z\|\|x, where the octet z specifies which solution of the quadratic equation y is
POINT_CONVERSION_UNCOMPRESSED	the point is encoded as z\|\|x\|\|y, where z is the octet 0x02
POINT_CONVERSION_HYBRID	the point is encoded as z\|\|x\|\|y, where the octet z specifies which solution of the quadratic equation y is

Definition at line 106 of file ec.h.

Function Documentation

EC_KEY* d2i_ECParameters	(	EC_KEY **	key,
		const unsigned char **	in,
		long	len
	)

Decodes ec parameter from a memory buffer.

Parameters

key	a pointer to a EC_KEY object which should be used (or NULL)
in	pointer to memory with the DER encoded ec parameters
len	length of the DER encoded ec parameters

Returns: a EC_KEY object with the decoded parameters or NULL if an error occurred.

Definition at line 1344 of file ec_asn1.c.

EC_GROUP* d2i_ECPKParameters	(	EC_GROUP **	,
		const unsigned char **	in,
		long	len
	)

Definition at line 1066 of file ec_asn1.c.

EC_KEY* d2i_ECPrivateKey	(	EC_KEY **	key,
		const unsigned char **	in,
		long	len
	)

Decodes a private key from a memory buffer.

Parameters

key	a pointer to a EC_KEY object which should be used (or NULL)
in	pointer to memory with the DER encoded private key
len	length of the DER encoded private key

Returns: the decoded private key or NULL if an error occurred.

Definition at line 1116 of file ec_asn1.c.

size_t EC_get_builtin_curves	(	EC_builtin_curve *	r,
		size_t	nitems
	)

Definition at line 2084 of file ec_curve.c.

const EC_METHOD* EC_GF2m_simple_method ( void )

Returns the basic GF2m ec method

Returns: EC_METHOD object

Definition at line 81 of file ec2_smpl.c.

const EC_METHOD* EC_GFp_mont_method ( void )

Returns GFp methods using montgomery multiplication.

Returns: EC_METHOD object

Definition at line 73 of file ecp_mont.c.

const EC_METHOD* EC_GFp_nist_method ( void )

Returns GFp methods using optimized methods for NIST recommended curves

Returns: EC_METHOD object

Definition at line 74 of file ecp_nist.c.

const EC_METHOD* EC_GFp_nistp224_method ( void )

Returns 64-bit optimized methods for nistp224

Returns: EC_METHOD object

Definition at line 236 of file ecp_nistp224.c.

const EC_METHOD* EC_GFp_nistp256_method ( void )

Returns 64-bit optimized methods for nistp256

Returns: EC_METHOD object

Definition at line 1616 of file ecp_nistp256.c.

const EC_METHOD* EC_GFp_nistp521_method ( void )

Returns 64-bit optimized methods for nistp521

Returns: EC_METHOD object

Definition at line 1482 of file ecp_nistp521.c.

const EC_METHOD* EC_GFp_simple_method ( void )

Returns the basic GFp ec methods which provides the basis for the optimized methods.

Returns: EC_METHOD object

Definition at line 74 of file ecp_smpl.c.

int EC_GROUP_check	(	const EC_GROUP *	group,
		BN_CTX *	ctx
	)

Checks whether the parameter in the EC_GROUP define a valid ec group

Parameters

group	EC_GROUP object
ctx	BN_CTX object (optional)

Returns: 1 if group is a valid ec group and 0 otherwise

Definition at line 59 of file ec_check.c.

int EC_GROUP_check_discriminant	(	const EC_GROUP *	group,
		BN_CTX *	ctx
	)

Checks whether the discriminant of the elliptic curve is zero or not

Parameters

group	EC_GROUP object
ctx	BN_CTX object (optional)

Returns: 1 if the discriminant is not zero and 0 otherwise

Definition at line 462 of file ec_lib.c.

void EC_GROUP_clear_free ( EC_GROUP * group )

Clears and frees a EC_GROUP object

Parameters

group EC_GROUP object to be cleared and freed.

Definition at line 144 of file ec_lib.c.

int EC_GROUP_cmp	(	const EC_GROUP *	a,
		const EC_GROUP *	b,
		BN_CTX *	ctx
	)

Compares two EC_GROUP objects

Parameters

a	first EC_GROUP object
b	second EC_GROUP object
ctx	BN_CTX object (optional)

Returns: 0 if both groups are equal and 1 otherwise

Definition at line 473 of file ec_lib.c.

int EC_GROUP_copy	(	EC_GROUP *	dst,
		const EC_GROUP *	src
	)

Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.

Parameters

dst	destination EC_GROUP object
src	source EC_GROUP object

Returns: 1 on success and 0 if an error occurred.

Definition at line 171 of file ec_lib.c.

EC_GROUP* EC_GROUP_dup ( const EC_GROUP * src )

Creates a new EC_GROUP object and copies the copies the content form src to the newly created EC_KEY object

Parameters

src	source EC_GROUP object

Returns: newly created EC_GROUP object or NULL in case of an error.

Definition at line 250 of file ec_lib.c.

void EC_GROUP_free ( EC_GROUP * group )

Frees a EC_GROUP object

Parameters

group EC_GROUP object to be freed.

Definition at line 123 of file ec_lib.c.

const EC_POINT* EC_GROUP_get0_generator ( const EC_GROUP * group )

Returns the generator of a EC_GROUP object.

Parameters

group EC_GROUP object

Returns: the currently used generator (possibly NULL).

Definition at line 313 of file ec_lib.c.

unsigned char* EC_GROUP_get0_seed ( const EC_GROUP * )

Definition at line 395 of file ec_lib.c.

int EC_GROUP_get_asn1_flag ( const EC_GROUP * group )

Definition at line 355 of file ec_lib.c.

int EC_GROUP_get_basis_type ( const EC_GROUP * )

Definition at line 66 of file ec_asn1.c.

int EC_GROUP_get_cofactor	(	const EC_GROUP *	group,
		BIGNUM *	cofactor,
		BN_CTX *	ctx
	)

Gets the cofactor of a EC_GROUP

Parameters

group	EC_GROUP object
cofactor	BIGNUM to which the cofactor is copied
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 328 of file ec_lib.c.

int EC_GROUP_get_curve_GF2m	(	const EC_GROUP *	group,
		BIGNUM *	p,
		BIGNUM *	a,
		BIGNUM *	b,
		BN_CTX *	ctx
	)

Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b

Parameters

group	EC_GROUP object
p	BIGNUM for the polynomial defining the underlying field
a	BIGNUM for parameter a of the equation
b	BIGNUM for parameter b of the equation
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 440 of file ec_lib.c.

int EC_GROUP_get_curve_GFp	(	const EC_GROUP *	group,
		BIGNUM *	p,
		BIGNUM *	a,
		BIGNUM *	b,
		BN_CTX *	ctx
	)

Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b

Parameters

group	EC_GROUP object
p	BIGNUM for the prime number
a	BIGNUM for parameter a of the equation
b	BIGNUM for parameter b of the equation
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 418 of file ec_lib.c.

int EC_GROUP_get_curve_name ( const EC_GROUP * group )

Returns the curve name of a EC_GROUP object

Parameters

group EC_GROUP object

Returns: NID of the curve name OID or 0 if not set.

Definition at line 343 of file ec_lib.c.

int EC_GROUP_get_degree ( const EC_GROUP * group )

Returns the number of bits needed to represent a field element

Parameters

group EC_GROUP object

Returns: number of bits needed to represent a field element

Definition at line 451 of file ec_lib.c.

int EC_GROUP_get_order	(	const EC_GROUP *	group,
		BIGNUM *	order,
		BN_CTX *	ctx
	)

Gets the order of a EC_GROUP

Parameters

group	EC_GROUP object
order	BIGNUM to which the order is copied
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 319 of file ec_lib.c.

int EC_GROUP_get_pentanomial_basis	(	const EC_GROUP *	,
		unsigned int *	k1,
		unsigned int *	k2,
		unsigned int *	k3
	)

Definition at line 104 of file ec_asn1.c.

point_conversion_form_t EC_GROUP_get_point_conversion_form ( const EC_GROUP * )

Definition at line 368 of file ec_lib.c.

size_t EC_GROUP_get_seed_len ( const EC_GROUP * )

Definition at line 401 of file ec_lib.c.

int EC_GROUP_get_trinomial_basis	(	const EC_GROUP *	,
		unsigned int *	k
	)

Definition at line 87 of file ec_asn1.c.

int EC_GROUP_have_precompute_mult ( const EC_GROUP * group )

Reports whether a precomputation has been done

Parameters

group EC_GROUP object

Returns: 1 if a pre-computation has been done and 0 otherwise

Definition at line 1086 of file ec_lib.c.

const EC_METHOD* EC_GROUP_method_of ( const EC_GROUP * group )

Returns the EC_METHOD of the EC_GROUP object.

Parameters

group EC_GROUP object

Returns: EC_METHOD used in this EC_GROUP object.

Definition at line 272 of file ec_lib.c.

EC_GROUP* EC_GROUP_new ( const EC_METHOD * meth )

Creates a new EC_GROUP object

Parameters

meth	EC_METHOD to use

Returns: newly created EC_GROUP object or NULL in case of an error.

Definition at line 76 of file ec_lib.c.

EC_GROUP* EC_GROUP_new_by_curve_name ( int nid )

Creates a EC_GROUP object with a curve specified by a NID

Parameters

nid	NID of the OID of the curve name

Returns: newly created EC_GROUP object with specified curve or NULL if an error occurred

Definition at line 2058 of file ec_curve.c.

EC_GROUP* EC_GROUP_new_curve_GF2m	(	const BIGNUM *	p,
		const BIGNUM *	a,
		const BIGNUM *	b,
		BN_CTX *	ctx
	)

Creates a new EC_GROUP object with the specified parameters defined over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)

Parameters

p	BIGNUM with the polynomial defining the underlying field
a	BIGNUM with the parameter a of the equation
b	BIGNUM with the parameter b of the equation
ctx	BN_CTX object (optional)

Returns: newly created EC_GROUP object with the specified parameters

Definition at line 151 of file ec_cvt.c.

EC_GROUP* EC_GROUP_new_curve_GFp	(	const BIGNUM *	p,
		const BIGNUM *	a,
		const BIGNUM *	b,
		BN_CTX *	ctx
	)

Creates a new EC_GROUP object with the specified parameters defined over GFp (defined by the equation y^2 = x^3 + a*x + b)

Parameters

p	BIGNUM with the prime number
a	BIGNUM with the parameter a of the equation
b	BIGNUM with the parameter b of the equation
ctx	BN_CTX object (optional)

Returns: newly created EC_GROUP object with the specified parameters

Definition at line 76 of file ec_cvt.c.

int EC_GROUP_precompute_mult	(	EC_GROUP *	group,
		BN_CTX *	ctx
	)

Stores multiples of generator for faster point multiplication

Parameters

group	EC_GROUP object
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 1074 of file ec_lib.c.

void EC_GROUP_set_asn1_flag	(	EC_GROUP *	group,
		int	flag
	)

Definition at line 349 of file ec_lib.c.

int EC_GROUP_set_curve_GF2m	(	EC_GROUP *	group,
		const BIGNUM *	p,
		const BIGNUM *	a,
		const BIGNUM *	b,
		BN_CTX *	ctx
	)

Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b

Parameters

group	EC_GROUP object
p	BIGNUM with the polynomial defining the underlying field
a	BIGNUM with parameter a of the equation
b	BIGNUM with parameter b of the equation
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 429 of file ec_lib.c.

int EC_GROUP_set_curve_GFp	(	EC_GROUP *	group,
		const BIGNUM *	p,
		const BIGNUM *	a,
		const BIGNUM *	b,
		BN_CTX *	ctx
	)

Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b

Parameters

group	EC_GROUP object
p	BIGNUM with the prime number
a	BIGNUM with parameter a of the equation
b	BIGNUM with parameter b of the equation
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 407 of file ec_lib.c.

void EC_GROUP_set_curve_name	(	EC_GROUP *	group,
		int	nid
	)

Sets the name of a EC_GROUP object

Parameters

group	EC_GROUP object
nid	NID of the curve name OID

Definition at line 337 of file ec_lib.c.

int EC_GROUP_set_generator	(	EC_GROUP *	group,
		const EC_POINT *	generator,
		const BIGNUM *	order,
		const BIGNUM *	cofactor
	)

Sets the generator and it's order/cofactor of a EC_GROUP object.

Parameters

group	EC_GROUP object
generator	EC_POINT object with the generator.
order	the order of the group generated by the generator.
cofactor	the index of the sub-group generated by the generator in the group of all points on the elliptic curve.

Returns: 1 on success and 0 if an error occured

Definition at line 284 of file ec_lib.c.

void EC_GROUP_set_point_conversion_form	(	EC_GROUP *	,
		point_conversion_form_t
	)

Definition at line 361 of file ec_lib.c.

size_t EC_GROUP_set_seed	(	EC_GROUP *	,
		const unsigned char *	,
		size_t	len
	)

Definition at line 374 of file ec_lib.c.

int EC_KEY_check_key ( const EC_KEY * key )

Verifies that a private and/or public key is valid.

Parameters

key	the EC_KEY object

Returns: 1 on success and 0 otherwise.

Definition at line 304 of file ec_key.c.

void EC_KEY_clear_flags	(	EC_KEY *	key,
		int	flags
	)

Definition at line 560 of file ec_key.c.

EC_KEY* EC_KEY_copy	(	EC_KEY *	dst,
		const EC_KEY *	src
	)

Copies a EC_KEY object.

Parameters

dst	destination EC_KEY object
src	src EC_KEY object

Returns: dst or NULL if an error occurred.

Definition at line 141 of file ec_key.c.

EC_KEY* EC_KEY_dup ( const EC_KEY * src )

Creates a new EC_KEY object and copies the content from src to it.

Parameters

src	the source EC_KEY object

Returns: newly created EC_KEY object or NULL if an error occurred.

Definition at line 208 of file ec_key.c.

void EC_KEY_free ( EC_KEY * key )

Frees a EC_KEY object.

Parameters

key	EC_KEY object to be freed.

Definition at line 108 of file ec_key.c.

int EC_KEY_generate_key ( EC_KEY * key )

Creates a new ec private (and optional a new public) key.

Parameters

key	EC_KEY object

Returns: 1 on success and 0 if an error occurred.

Definition at line 237 of file ec_key.c.

const EC_GROUP* EC_KEY_get0_group ( const EC_KEY * key )

Returns the EC_GROUP object of a EC_KEY object

Parameters

key	EC_KEY object

Returns: the EC_GROUP object (possibly NULL).

Definition at line 459 of file ec_key.c.

const BIGNUM* EC_KEY_get0_private_key ( const EC_KEY * key )

Returns the private key of a EC_KEY object.

Parameters

key	EC_KEY object

Returns: a BIGNUM with the private key (possibly NULL).

Definition at line 472 of file ec_key.c.

const EC_POINT* EC_KEY_get0_public_key ( const EC_KEY * key )

Returns the public key of a EC_KEY object.

Parameters

key	the EC_KEY object

Returns: a EC_POINT object with the public key (possibly NULL)

Definition at line 485 of file ec_key.c.

point_conversion_form_t EC_KEY_get_conv_form ( const EC_KEY * )

Definition at line 508 of file ec_key.c.

unsigned EC_KEY_get_enc_flags ( const EC_KEY * key )

Definition at line 498 of file ec_key.c.

int EC_KEY_get_flags ( const EC_KEY * key )

Definition at line 550 of file ec_key.c.

void* EC_KEY_get_key_method_data	(	EC_KEY *	,
		void ()(void *)	dup_func,
		void()(void )	free_func,
		void()(void )	clear_free_func
	)

Definition at line 520 of file ec_key.c.

void EC_KEY_insert_key_method_data	(	EC_KEY *	,
		void *	data,
		void ()(void *)	dup_func,
		void()(void )	free_func,
		void()(void )	clear_free_func
	)

Definition at line 526 of file ec_key.c.

EC_KEY* EC_KEY_new ( void )

Creates a new EC_KEY object.

Returns: EC_KEY object or NULL if an error occurred.

Definition at line 71 of file ec_key.c.

EC_KEY* EC_KEY_new_by_curve_name ( int nid )

Creates a new EC_KEY object using a named curve as underlying EC_GROUP object.

Parameters

nid	NID of the named curve.

Returns: EC_KEY object or NULL if an error occurred.

Definition at line 94 of file ec_key.c.

int EC_KEY_precompute_mult	(	EC_KEY *	key,
		BN_CTX *	ctx
	)

Creates a table of pre-computed multiples of the generator to accelerate further EC_KEY operations.

Parameters

key	EC_KEY object
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occurred.

Definition at line 543 of file ec_key.c.

int EC_KEY_print	(	BIO *	bp,
		const EC_KEY *	key,
		int	off
	)

Prints out the contents of a EC_KEY object

Parameters

bp	BIO object to which the information is printed
key	EC_KEY object
off	line offset

Returns: 1 on success and 0 if an error occurred

Definition at line 120 of file eck_prn.c.

int EC_KEY_print_fp	(	FILE *	fp,
		const EC_KEY *	key,
		int	off
	)

Prints out the contents of a EC_KEY object

Parameters

fp	file descriptor to which the information is printed
key	EC_KEY object
off	line offset

Returns: 1 on success and 0 if an error occurred

Definition at line 87 of file eck_prn.c.

void EC_KEY_set_asn1_flag	(	EC_KEY *	,
		int
	)

Definition at line 537 of file ec_key.c.

void EC_KEY_set_conv_form	(	EC_KEY *	,
		point_conversion_form_t
	)

Definition at line 513 of file ec_key.c.

void EC_KEY_set_enc_flags	(	EC_KEY *	,
		unsigned	int
	)

Definition at line 503 of file ec_key.c.

void EC_KEY_set_flags	(	EC_KEY *	key,
		int	flags
	)

Definition at line 555 of file ec_key.c.

int EC_KEY_set_group	(	EC_KEY *	key,
		const EC_GROUP *	group
	)

Sets the EC_GROUP of a EC_KEY object.

Parameters

key	EC_KEY object
group	EC_GROUP to use in the EC_KEY object (note: the EC_KEY object will use an own copy of the EC_GROUP).

Returns: 1 on success and 0 if an error occurred.

Definition at line 464 of file ec_key.c.

int EC_KEY_set_private_key	(	EC_KEY *	key,
		const BIGNUM *	prv
	)

Sets the private key of a EC_KEY object.

Parameters

key	EC_KEY object
prv	BIGNUM with the private key (note: the EC_KEY object will use an own copy of the BIGNUM).

Returns: 1 on success and 0 if an error occurred.

Definition at line 477 of file ec_key.c.

int EC_KEY_set_public_key	(	EC_KEY *	key,
		const EC_POINT *	pub
	)

Sets the public key of a EC_KEY object.

Parameters

key	EC_KEY object
pub	EC_POINT object with the public key (note: the EC_KEY object will use an own copy of the EC_POINT object).

Returns: 1 on success and 0 if an error occurred.

Definition at line 490 of file ec_key.c.

int EC_KEY_set_public_key_affine_coordinates	(	EC_KEY *	key,
		BIGNUM *	x,
		BIGNUM *	y
	)

Sets a public key from affine coordindates performing neccessary NIST PKV tests.

Parameters

key	the EC_KEY object
x	public key x coordinate
y	public key y coordinate

Returns: 1 on success and 0 otherwise.

Definition at line 383 of file ec_key.c.

int EC_KEY_up_ref ( EC_KEY * key )

Increases the internal reference count of a EC_KEY object.

Parameters

key	EC_KEY object

Returns: 1 on success and 0 if an error occurred.

Definition at line 221 of file ec_key.c.

int EC_METHOD_get_field_type ( const EC_METHOD * meth )

Returns the field type of the EC_METHOD.

Parameters

meth	EC_METHOD object

Returns: NID of the underlying field type OID.

Definition at line 278 of file ec_lib.c.

int EC_POINT_add	(	const EC_GROUP *	group,
		EC_POINT *	r,
		const EC_POINT *	a,
		const EC_POINT *	b,
		BN_CTX *	ctx
	)

Computes the sum of two EC_POINT

Parameters

group	underlying EC_GROUP object
r	EC_POINT object for the result (r = a + b)
a	EC_POINT object with the first summand
b	EC_POINT object with the second summand
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 911 of file ec_lib.c.

EC_POINT* EC_POINT_bn2point	(	const EC_GROUP *	,
		const BIGNUM *	,
		EC_POINT *	,
		BN_CTX *
	)

Definition at line 89 of file ec_print.c.

void EC_POINT_clear_free ( EC_POINT * point )

Clears and frees a EC_POINT object

Parameters

point EC_POINT object to be cleared and freed

Definition at line 737 of file ec_lib.c.

int EC_POINT_cmp	(	const EC_GROUP *	group,
		const EC_POINT *	a,
		const EC_POINT *	b,
		BN_CTX *	ctx
	)

Compares two EC_POINTs

Parameters

group	underlying EC_GROUP object
a	first EC_POINT object
b	second EC_POINT object
ctx	BN_CTX object (optional)

Returns: 0 if both points are equal and a value != 0 otherwise

Definition at line 991 of file ec_lib.c.

int EC_POINT_copy	(	EC_POINT *	dst,
		const EC_POINT *	src
	)

Copies EC_POINT object

Parameters

dst	destination EC_POINT object
src	source EC_POINT object

Returns: 1 on success and 0 if an error occured

Definition at line 750 of file ec_lib.c.

int EC_POINT_dbl	(	const EC_GROUP *	group,
		EC_POINT *	r,
		const EC_POINT *	a,
		BN_CTX *	ctx
	)

Computes the double of a EC_POINT

Parameters

group	underlying EC_GROUP object
r	EC_POINT object for the result (r = 2 * a)
a	EC_POINT object
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 927 of file ec_lib.c.

EC_POINT* EC_POINT_dup	(	const EC_POINT *	src,
		const EC_GROUP *	group
	)

Creates a new EC_POINT object and copies the content of the supplied EC_POINT

Parameters

src	source EC_POINT object
group	underlying the EC_GROUP object

Returns: newly created EC_POINT object or NULL if an error occurred

Definition at line 768 of file ec_lib.c.

void EC_POINT_free ( EC_POINT * point )

Frees a EC_POINT object

Parameters

point EC_POINT object to be freed

Definition at line 727 of file ec_lib.c.

int EC_POINT_get_affine_coordinates_GF2m	(	const EC_GROUP *	group,
		const EC_POINT *	p,
		BIGNUM *	x,
		BIGNUM *	y,
		BN_CTX *	ctx
	)

Gets the affine coordinates of a EC_POINT over GF2m

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM for the x-coordinate
y	BIGNUM for the y-coordinate
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 894 of file ec_lib.c.

int EC_POINT_get_affine_coordinates_GFp	(	const EC_GROUP *	group,
		const EC_POINT *	p,
		BIGNUM *	x,
		BIGNUM *	y,
		BN_CTX *	ctx
	)

Gets the affine coordinates of a EC_POINT over GFp

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM for the x-coordinate
y	BIGNUM for the y-coordinate
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 877 of file ec_lib.c.

int EC_POINT_get_Jprojective_coordinates_GFp	(	const EC_GROUP *	group,
		const EC_POINT *	p,
		BIGNUM *	x,
		BIGNUM *	y,
		BIGNUM *	z,
		BN_CTX *	ctx
	)

Gets the jacobian projective coordinates of a EC_POINT over GFp

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM for the x-coordinate
y	BIGNUM for the y-coordinate
z	BIGNUM for the z-coordinate
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 826 of file ec_lib.c.

EC_POINT* EC_POINT_hex2point	(	const EC_GROUP *	,
		const char *	,
		EC_POINT *	,
		BN_CTX *
	)

Definition at line 179 of file ec_print.c.

int EC_POINT_invert	(	const EC_GROUP *	group,
		EC_POINT *	a,
		BN_CTX *	ctx
	)

Computes the inverse of a EC_POINT

Parameters

group	underlying EC_GROUP object
a	EC_POINT object to be inverted (it's used for the result as well)
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 943 of file ec_lib.c.

int EC_POINT_is_at_infinity	(	const EC_GROUP *	group,
		const EC_POINT *	p
	)

Checks whether the point is the neutral element of the group

Parameters

group	the underlying EC_GROUP object
p	EC_POINT object

Returns: 1 if the point is the neutral element and 0 otherwise

Definition at line 959 of file ec_lib.c.

int EC_POINT_is_on_curve	(	const EC_GROUP *	group,
		const EC_POINT *	point,
		BN_CTX *	ctx
	)

Checks whether the point is on the curve

Parameters

group	underlying EC_GROUP object
point	EC_POINT object to check
ctx	BN_CTX object (optional)

Returns: 1 if point if on the curve and 0 otherwise

Definition at line 975 of file ec_lib.c.

int EC_POINT_make_affine	(	const EC_GROUP *	,
		EC_POINT *	,
		BN_CTX *
	)

Definition at line 1007 of file ec_lib.c.

const EC_METHOD* EC_POINT_method_of ( const EC_POINT * point )

Returns the EC_METHOD used in EC_POINT object

Parameters

point EC_POINT object

Returns: the EC_METHOD used

Definition at line 787 of file ec_lib.c.

int EC_POINT_mul	(	const EC_GROUP *	group,
		EC_POINT *	r,
		const BIGNUM *	n,
		const EC_POINT *	q,
		const BIGNUM *	m,
		BN_CTX *	ctx
	)

Computes r = generator * n + q * m

Parameters

group	underlying EC_GROUP object
r	EC_POINT object for the result
n	BIGNUM with the multiplier for the group generator (optional)
q	EC_POINT object with the first factor of the second summand
m	BIGNUM with the second factor of the second summand
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 1060 of file ec_lib.c.

EC_POINT* EC_POINT_new ( const EC_GROUP * group )

Creates a new EC_POINT object for the specified EC_GROUP

Parameters

group EC_GROUP the underlying EC_GROUP object

Returns: newly created EC_POINT object or NULL if an error occurred

Definition at line 693 of file ec_lib.c.

int EC_POINT_oct2point	(	const EC_GROUP *	group,
		EC_POINT *	p,
		const unsigned char *	buf,
		size_t	len,
		BN_CTX *	ctx
	)

Decodes a EC_POINT from a octet string

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
buf	memory buffer with the encoded ec point
len	length of the encoded ec point
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 167 of file ec_oct.c.

BIGNUM* EC_POINT_point2bn	(	const EC_GROUP *	,
		const EC_POINT *	,
		point_conversion_form_t	form,
		BIGNUM *	,
		BN_CTX *
	)

Definition at line 59 of file ec_print.c.

char* EC_POINT_point2hex	(	const EC_GROUP *	,
		const EC_POINT *	,
		point_conversion_form_t	form,
		BN_CTX *
	)

Definition at line 135 of file ec_print.c.

size_t EC_POINT_point2oct	(	const EC_GROUP *	group,
		const EC_POINT *	p,
		point_conversion_form_t	form,
		unsigned char *	buf,
		size_t	len,
		BN_CTX *	ctx
	)

Encodes a EC_POINT object to a octet string

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
form	point conversion form
buf	memory buffer for the result. If NULL the function returns required buffer size.
len	length of the memory buffer
ctx	BN_CTX object (optional)

Returns: the length of the encoded octet string or 0 if an error occurred

Definition at line 132 of file ec_oct.c.

int EC_POINT_set_affine_coordinates_GF2m	(	const EC_GROUP *	group,
		EC_POINT *	p,
		const BIGNUM *	x,
		const BIGNUM *	y,
		BN_CTX *	ctx
	)

Sets the affine coordinates of a EC_POINT over GF2m

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM with the x-coordinate
y	BIGNUM with the y-coordinate
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 860 of file ec_lib.c.

int EC_POINT_set_affine_coordinates_GFp	(	const EC_GROUP *	group,
		EC_POINT *	p,
		const BIGNUM *	x,
		const BIGNUM *	y,
		BN_CTX *	ctx
	)

Sets the affine coordinates of a EC_POINT over GFp

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM with the x-coordinate
y	BIGNUM with the y-coordinate
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 843 of file ec_lib.c.

int EC_POINT_set_compressed_coordinates_GF2m	(	const EC_GROUP *	group,
		EC_POINT *	p,
		const BIGNUM *	x,
		int	y_bit,
		BN_CTX *	ctx
	)

Sets the x9.62 compressed coordinates of a EC_POINT over GF2m

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM with x-coordinate
y_bit	integer with the y-Bit (either 0 or 1)
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 105 of file ec_oct.c.

int EC_POINT_set_compressed_coordinates_GFp	(	const EC_GROUP *	group,
		EC_POINT *	p,
		const BIGNUM *	x,
		int	y_bit,
		BN_CTX *	ctx
	)

Sets the x9.62 compressed coordinates of a EC_POINT over GFp

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM with x-coordinate
y_bit	integer with the y-Bit (either 0 or 1)
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 71 of file ec_oct.c.

int EC_POINT_set_Jprojective_coordinates_GFp	(	const EC_GROUP *	group,
		EC_POINT *	p,
		const BIGNUM *	x,
		const BIGNUM *	y,
		const BIGNUM *	z,
		BN_CTX *	ctx
	)

Sets the jacobian projective coordinates of a EC_POINT over GFp

Parameters

group	underlying EC_GROUP object
p	EC_POINT object
x	BIGNUM with the x-coordinate
y	BIGNUM with the y-coordinate
z	BIGNUM with the z-coordinate
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 809 of file ec_lib.c.

int EC_POINT_set_to_infinity	(	const EC_GROUP *	group,
		EC_POINT *	point
	)

Sets a point to infinity (neutral element)

Parameters

group	underlying EC_GROUP object
point	EC_POINT to set to infinity

Returns: 1 on success and 0 if an error occured

Definition at line 793 of file ec_lib.c.

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

Definition at line 1023 of file ec_lib.c.

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
	)

Computes r = generator * n sum_{i=0}^num p[i] * m[i]

Parameters

group	underlying EC_GROUP object
r	EC_POINT object for the result
n	BIGNUM with the multiplier for the group generator (optional)
num	number futher summands
p	array of size num of EC_POINT objects
m	array of size num of BIGNUM objects
ctx	BN_CTX object (optional)

Returns: 1 on success and 0 if an error occured

Definition at line 1050 of file ec_lib.c.

int ECParameters_print	(	BIO *	bp,
		const EC_KEY *	key
	)

Prints out the ec parameters on human readable form.

Parameters

bp	BIO object to which the information is printed
key	EC_KEY object

Returns: 1 on success and 0 if an error occurred

Definition at line 132 of file eck_prn.c.

int ECParameters_print_fp	(	FILE *	fp,
		const EC_KEY *	key
	)

Prints out the ec parameters on human readable form.

Parameters

fp	file descriptor to which the information is printed
key	EC_KEY object

Returns: 1 on success and 0 if an error occurred

Definition at line 103 of file eck_prn.c.

int ECPKParameters_print	(	BIO *	bp,
		const EC_GROUP *	x,
		int	off
	)

Definition at line 147 of file eck_prn.c.

int ECPKParameters_print_fp	(	FILE *	fp,
		const EC_GROUP *	x,
		int	off
	)

Definition at line 71 of file eck_prn.c.

void ERR_load_EC_strings ( void )

Definition at line 266 of file ec_err.c.

int i2d_ECParameters	(	EC_KEY *	key,
		unsigned char **	out
	)

Encodes ec parameter and stores the result in a buffer.

Parameters

key	the EC_KEY object with ec paramters to encode
out	the buffer for the result (if NULL the function returns number of bytes needed).

Returns: 1 on success and 0 if an error occurred.

Definition at line 1334 of file ec_asn1.c.

int i2d_ECPKParameters	(	const EC_GROUP *	,
		unsigned char **	out
	)

Definition at line 1095 of file ec_asn1.c.

int i2d_ECPrivateKey	(	EC_KEY *	key,
		unsigned char **	out
	)

Encodes a private key object and stores the result in a buffer.

Parameters

key	the EC_KEY object to encode
out	the buffer for the result (if NULL the function returns number of bytes needed).

Returns: 1 on success and 0 if an error occurred.

Definition at line 1224 of file ec_asn1.c.

int i2o_ECPublicKey	(	EC_KEY *	key,
		unsigned char **	out
	)

Encodes a ec public key in an octet string.

Parameters

key	the EC_KEY object with the public key
out	the buffer for the result (if NULL the function returns number of bytes needed).

Returns: 1 on success and 0 if an error occurred

Definition at line 1405 of file ec_asn1.c.

EC_KEY* o2i_ECPublicKey	(	EC_KEY **	key,
		const unsigned char **	in,
		long	len
	)

Decodes a ec public key from a octet string.

Parameters

key	a pointer to a EC_KEY object which should be used
in	memory buffer with the encoded public key
len	length of the encoded public key

Returns: EC_KEY object with decoded public key or NULL if an error occurred.

Definition at line 1376 of file ec_asn1.c.

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