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package Crypt::OpenSSL::EC; use 5.008005; use strict; use warnings; use Carp; require Exporter; use AutoLoader; our @ISA = qw(Exporter); # 0=no warns, 1=only errors, 2=ciphers, 3=progress, 4=dump data $Crypt::OpenSSL::EC::trace = 0; # Do not change here, use # $Crypt::OpenSSL::EC::trace = [1-4] in caller # Items to export into callers namespace by default. Note: do not export # names by default without a very good reason. Use EXPORT_OK instead. # Do not simply export all your public functions/methods/constants. # This allows declaration use Crypt::OpenSSL::EC ':all'; # If you do not need this, moving things directly into @EXPORT or @EXPORT_OK # will save memory. our %EXPORT_TAGS = ( 'all' => [ qw( EC_F_COMPUTE_WNAF EC_F_D2I_ECPARAMETERS EC_F_D2I_ECPKPARAMETERS EC_F_D2I_ECPRIVATEKEY EC_F_DO_EC_KEY_PRINT EC_F_ECKEY_PARAM2TYPE EC_F_ECKEY_PARAM_DECODE EC_F_ECKEY_PRIV_DECODE EC_F_ECKEY_PRIV_ENCODE EC_F_ECKEY_PUB_DECODE EC_F_ECKEY_PUB_ENCODE EC_F_ECKEY_TYPE2PARAM EC_F_ECPARAMETERS_PRINT EC_F_ECPARAMETERS_PRINT_FP EC_F_ECPKPARAMETERS_PRINT EC_F_ECPKPARAMETERS_PRINT_FP EC_F_ECP_NIST_MOD_192 EC_F_ECP_NIST_MOD_224 EC_F_ECP_NIST_MOD_256 EC_F_ECP_NIST_MOD_521 EC_F_EC_ASN1_GROUP2CURVE EC_F_EC_ASN1_GROUP2FIELDID EC_F_EC_ASN1_GROUP2PARAMETERS EC_F_EC_ASN1_GROUP2PKPARAMETERS EC_F_EC_ASN1_PARAMETERS2GROUP EC_F_EC_ASN1_PKPARAMETERS2GROUP EC_F_EC_EX_DATA_SET_DATA EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE EC_F_EC_GF2M_SIMPLE_OCT2POINT EC_F_EC_GF2M_SIMPLE_POINT2OCT EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES EC_F_EC_GFP_MONT_FIELD_DECODE EC_F_EC_GFP_MONT_FIELD_ENCODE EC_F_EC_GFP_MONT_FIELD_MUL EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE EC_F_EC_GFP_MONT_FIELD_SQR EC_F_EC_GFP_MONT_GROUP_SET_CURVE EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP EC_F_EC_GFP_NIST_FIELD_MUL EC_F_EC_GFP_NIST_FIELD_SQR EC_F_EC_GFP_NIST_GROUP_SET_CURVE EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR EC_F_EC_GFP_SIMPLE_MAKE_AFFINE EC_F_EC_GFP_SIMPLE_OCT2POINT EC_F_EC_GFP_SIMPLE_POINT2OCT EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP EC_F_EC_GROUP_CHECK EC_F_EC_GROUP_CHECK_DISCRIMINANT EC_F_EC_GROUP_COPY EC_F_EC_GROUP_GET0_GENERATOR EC_F_EC_GROUP_GET_COFACTOR EC_F_EC_GROUP_GET_CURVE_GF2M EC_F_EC_GROUP_GET_CURVE_GFP EC_F_EC_GROUP_GET_DEGREE EC_F_EC_GROUP_GET_ORDER EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS EC_F_EC_GROUP_GET_TRINOMIAL_BASIS EC_F_EC_GROUP_NEW EC_F_EC_GROUP_NEW_BY_CURVE_NAME EC_F_EC_GROUP_NEW_FROM_DATA EC_F_EC_GROUP_PRECOMPUTE_MULT EC_F_EC_GROUP_SET_CURVE_GF2M EC_F_EC_GROUP_SET_CURVE_GFP EC_F_EC_GROUP_SET_EXTRA_DATA EC_F_EC_GROUP_SET_GENERATOR EC_F_EC_KEY_CHECK_KEY EC_F_EC_KEY_COPY EC_F_EC_KEY_GENERATE_KEY EC_F_EC_KEY_NEW EC_F_EC_KEY_PRINT EC_F_EC_KEY_PRINT_FP EC_F_EC_POINTS_MAKE_AFFINE EC_F_EC_POINT_ADD EC_F_EC_POINT_CMP EC_F_EC_POINT_COPY EC_F_EC_POINT_DBL EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP EC_F_EC_POINT_INVERT EC_F_EC_POINT_IS_AT_INFINITY EC_F_EC_POINT_IS_ON_CURVE EC_F_EC_POINT_MAKE_AFFINE EC_F_EC_POINT_MUL EC_F_EC_POINT_NEW EC_F_EC_POINT_OCT2POINT EC_F_EC_POINT_POINT2OCT EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP EC_F_EC_POINT_SET_TO_INFINITY EC_F_EC_PRE_COMP_DUP EC_F_EC_PRE_COMP_NEW EC_F_EC_WNAF_MUL EC_F_EC_WNAF_PRECOMPUTE_MULT EC_F_I2D_ECPARAMETERS EC_F_I2D_ECPKPARAMETERS EC_F_I2D_ECPRIVATEKEY EC_F_I2O_ECPUBLICKEY EC_F_O2I_ECPUBLICKEY EC_F_OLD_EC_PRIV_DECODE EC_F_PKEY_EC_CTRL EC_F_PKEY_EC_CTRL_STR EC_F_PKEY_EC_DERIVE EC_F_PKEY_EC_KEYGEN EC_F_PKEY_EC_PARAMGEN EC_F_PKEY_EC_SIGN EC_PKEY_NO_PARAMETERS EC_PKEY_NO_PUBKEY EC_R_ASN1_ERROR EC_R_ASN1_UNKNOWN_FIELD EC_R_BUFFER_TOO_SMALL EC_R_D2I_ECPKPARAMETERS_FAILURE EC_R_DECODE_ERROR EC_R_DISCRIMINANT_IS_ZERO EC_R_EC_GROUP_NEW_BY_NAME_FAILURE EC_R_FIELD_TOO_LARGE EC_R_GROUP2PKPARAMETERS_FAILURE EC_R_I2D_ECPKPARAMETERS_FAILURE EC_R_INCOMPATIBLE_OBJECTS EC_R_INVALID_ARGUMENT EC_R_INVALID_COMPRESSED_POINT EC_R_INVALID_COMPRESSION_BIT EC_R_INVALID_CURVE EC_R_INVALID_DIGEST_TYPE EC_R_INVALID_ENCODING EC_R_INVALID_FIELD EC_R_INVALID_FORM EC_R_INVALID_GROUP_ORDER EC_R_INVALID_PENTANOMIAL_BASIS EC_R_INVALID_PRIVATE_KEY EC_R_INVALID_TRINOMIAL_BASIS EC_R_KEYS_NOT_SET EC_R_MISSING_PARAMETERS EC_R_MISSING_PRIVATE_KEY EC_R_NOT_A_NIST_PRIME EC_R_NOT_A_SUPPORTED_NIST_PRIME EC_R_NOT_IMPLEMENTED EC_R_NOT_INITIALIZED EC_R_NO_FIELD_MOD EC_R_NO_PARAMETERS_SET EC_R_PASSED_NULL_PARAMETER EC_R_PKPARAMETERS2GROUP_FAILURE EC_R_POINT_AT_INFINITY EC_R_POINT_IS_NOT_ON_CURVE EC_R_SLOT_FULL EC_R_UNDEFINED_GENERATOR EC_R_UNDEFINED_ORDER EC_R_UNKNOWN_GROUP EC_R_UNKNOWN_ORDER EC_R_UNSUPPORTED_FIELD EC_R_WRONG_ORDER EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID OPENSSL_ECC_MAX_FIELD_BITS OPENSSL_EC_NAMED_CURVE POINT_CONVERSION_COMPRESSED POINT_CONVERSION_HYBRID POINT_CONVERSION_UNCOMPRESSED ) ] ); our @EXPORT_OK = ( @{ $EXPORT_TAGS{'all'} } ); our @EXPORT = qw( EC_F_COMPUTE_WNAF EC_F_D2I_ECPARAMETERS EC_F_D2I_ECPKPARAMETERS EC_F_D2I_ECPRIVATEKEY EC_F_DO_EC_KEY_PRINT EC_F_ECKEY_PARAM2TYPE EC_F_ECKEY_PARAM_DECODE EC_F_ECKEY_PRIV_DECODE EC_F_ECKEY_PRIV_ENCODE EC_F_ECKEY_PUB_DECODE EC_F_ECKEY_PUB_ENCODE EC_F_ECKEY_TYPE2PARAM EC_F_ECPARAMETERS_PRINT EC_F_ECPARAMETERS_PRINT_FP EC_F_ECPKPARAMETERS_PRINT EC_F_ECPKPARAMETERS_PRINT_FP EC_F_ECP_NIST_MOD_192 EC_F_ECP_NIST_MOD_224 EC_F_ECP_NIST_MOD_256 EC_F_ECP_NIST_MOD_521 EC_F_EC_ASN1_GROUP2CURVE EC_F_EC_ASN1_GROUP2FIELDID EC_F_EC_ASN1_GROUP2PARAMETERS EC_F_EC_ASN1_GROUP2PKPARAMETERS EC_F_EC_ASN1_PARAMETERS2GROUP EC_F_EC_ASN1_PKPARAMETERS2GROUP EC_F_EC_EX_DATA_SET_DATA EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE EC_F_EC_GF2M_SIMPLE_OCT2POINT EC_F_EC_GF2M_SIMPLE_POINT2OCT EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES EC_F_EC_GFP_MONT_FIELD_DECODE EC_F_EC_GFP_MONT_FIELD_ENCODE EC_F_EC_GFP_MONT_FIELD_MUL EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE EC_F_EC_GFP_MONT_FIELD_SQR EC_F_EC_GFP_MONT_GROUP_SET_CURVE EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP EC_F_EC_GFP_NIST_FIELD_MUL EC_F_EC_GFP_NIST_FIELD_SQR EC_F_EC_GFP_NIST_GROUP_SET_CURVE EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR EC_F_EC_GFP_SIMPLE_MAKE_AFFINE EC_F_EC_GFP_SIMPLE_OCT2POINT EC_F_EC_GFP_SIMPLE_POINT2OCT EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP EC_F_EC_GROUP_CHECK EC_F_EC_GROUP_CHECK_DISCRIMINANT EC_F_EC_GROUP_COPY EC_F_EC_GROUP_GET0_GENERATOR EC_F_EC_GROUP_GET_COFACTOR EC_F_EC_GROUP_GET_CURVE_GF2M EC_F_EC_GROUP_GET_CURVE_GFP EC_F_EC_GROUP_GET_DEGREE EC_F_EC_GROUP_GET_ORDER EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS EC_F_EC_GROUP_GET_TRINOMIAL_BASIS EC_F_EC_GROUP_NEW EC_F_EC_GROUP_NEW_BY_CURVE_NAME EC_F_EC_GROUP_NEW_FROM_DATA EC_F_EC_GROUP_PRECOMPUTE_MULT EC_F_EC_GROUP_SET_CURVE_GF2M EC_F_EC_GROUP_SET_CURVE_GFP EC_F_EC_GROUP_SET_EXTRA_DATA EC_F_EC_GROUP_SET_GENERATOR EC_F_EC_KEY_CHECK_KEY EC_F_EC_KEY_COPY EC_F_EC_KEY_GENERATE_KEY EC_F_EC_KEY_NEW EC_F_EC_KEY_PRINT EC_F_EC_KEY_PRINT_FP EC_F_EC_POINTS_MAKE_AFFINE EC_F_EC_POINT_ADD EC_F_EC_POINT_CMP EC_F_EC_POINT_COPY EC_F_EC_POINT_DBL EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP EC_F_EC_POINT_INVERT EC_F_EC_POINT_IS_AT_INFINITY EC_F_EC_POINT_IS_ON_CURVE EC_F_EC_POINT_MAKE_AFFINE EC_F_EC_POINT_MUL EC_F_EC_POINT_NEW EC_F_EC_POINT_OCT2POINT EC_F_EC_POINT_POINT2OCT EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP EC_F_EC_POINT_SET_TO_INFINITY EC_F_EC_PRE_COMP_DUP EC_F_EC_PRE_COMP_NEW EC_F_EC_WNAF_MUL EC_F_EC_WNAF_PRECOMPUTE_MULT EC_F_I2D_ECPARAMETERS EC_F_I2D_ECPKPARAMETERS EC_F_I2D_ECPRIVATEKEY EC_F_I2O_ECPUBLICKEY EC_F_O2I_ECPUBLICKEY EC_F_OLD_EC_PRIV_DECODE EC_F_PKEY_EC_CTRL EC_F_PKEY_EC_CTRL_STR EC_F_PKEY_EC_DERIVE EC_F_PKEY_EC_KEYGEN EC_F_PKEY_EC_PARAMGEN EC_F_PKEY_EC_SIGN EC_PKEY_NO_PARAMETERS EC_PKEY_NO_PUBKEY EC_R_ASN1_ERROR EC_R_ASN1_UNKNOWN_FIELD EC_R_BUFFER_TOO_SMALL EC_R_D2I_ECPKPARAMETERS_FAILURE EC_R_DECODE_ERROR EC_R_DISCRIMINANT_IS_ZERO EC_R_EC_GROUP_NEW_BY_NAME_FAILURE EC_R_FIELD_TOO_LARGE EC_R_GROUP2PKPARAMETERS_FAILURE EC_R_I2D_ECPKPARAMETERS_FAILURE EC_R_INCOMPATIBLE_OBJECTS EC_R_INVALID_ARGUMENT EC_R_INVALID_COMPRESSED_POINT EC_R_INVALID_COMPRESSION_BIT EC_R_INVALID_CURVE EC_R_INVALID_DIGEST_TYPE EC_R_INVALID_ENCODING EC_R_INVALID_FIELD EC_R_INVALID_FORM EC_R_INVALID_GROUP_ORDER EC_R_INVALID_PENTANOMIAL_BASIS EC_R_INVALID_PRIVATE_KEY EC_R_INVALID_TRINOMIAL_BASIS EC_R_KEYS_NOT_SET EC_R_MISSING_PARAMETERS EC_R_MISSING_PRIVATE_KEY EC_R_NOT_A_NIST_PRIME EC_R_NOT_A_SUPPORTED_NIST_PRIME EC_R_NOT_IMPLEMENTED EC_R_NOT_INITIALIZED EC_R_NO_FIELD_MOD EC_R_NO_PARAMETERS_SET EC_R_PASSED_NULL_PARAMETER EC_R_PKPARAMETERS2GROUP_FAILURE EC_R_POINT_AT_INFINITY EC_R_POINT_IS_NOT_ON_CURVE EC_R_SLOT_FULL EC_R_UNDEFINED_GENERATOR EC_R_UNDEFINED_ORDER EC_R_UNKNOWN_GROUP EC_R_UNKNOWN_ORDER EC_R_UNSUPPORTED_FIELD EC_R_WRONG_ORDER EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID OPENSSL_ECC_MAX_FIELD_BITS OPENSSL_EC_NAMED_CURVE POINT_CONVERSION_COMPRESSED POINT_CONVERSION_HYBRID POINT_CONVERSION_UNCOMPRESSED ); our $VERSION = '1.32'; sub AUTOLOAD { # This AUTOLOAD is used to 'autoload' constants from the constant() # XS function. my $constname; our $AUTOLOAD; ($constname = $AUTOLOAD) =~ s/.:://; croak "&Crypt::OpenSSL::EC::constant not defined" if $constname eq 'constant'; my ($error, $val) = constant($constname); if ($error) { croak $error; } { no strict 'refs'; # Fixed between 5.005_53 and 5.005_61 #XXX if ($] >= 5.00561) { #XXX $AUTOLOAD = sub () { $val }; #XXX } #XXX else { $AUTOLOAD = sub { $val }; #XXX } } goto &$AUTOLOAD; } require XSLoader; XSLoader::load('Crypt::OpenSSL::EC', $VERSION); # Preloaded methods go here. sub print_errs { my ($msg) = @_; my ($count, $err, $errs, $e) = (0,0,''); while ($err = Crypt::OpenSSL::EC::ERR_get_error()) { $count ++; $e = "$msg $$: $count - " . Crypt::OpenSSL::EC::ERR_error_string($err) . "\n"; $errs .= $e; warn $e if $Crypt::OpenSSL::EC::trace; } return $errs; } # Autoload methods go after =cut, and are processed by the autosplit program. 1; __END__ =head1 NAME Crypt::OpenSSL::EC - Perl extension for OpenSSL EC (Elliptic Curves) library =head1 SYNOPSIS use Crypt::OpenSSL::EC; use Crypt::OpenSSL::Bignum::CTX; # Use of $ctx is optional in all calls, here we demonstrate its use. # If it is provided it will increase performance. my $ctx = Crypt::OpenSSL::Bignum::CTX->new(); my $method = Crypt::OpenSSL::EC::EC_GFp_mont_method(); my $group = Crypt::OpenSSL::EC::EC_GROUP::new($method); Crypt::OpenSSL::EC::EC_GROUP::set_curve_GFp($group, $p, $a, $b, $ctx); my $method = Crypt::OpenSSL::EC::EC_GROUP::method_of($group); Crypt::OpenSSL::EC::EC_GROUP::copy($tmp, $group); Crypt::OpenSSL::EC::EC_GROUP::get_curve_GFp($group, $p, $a, $b, $ctx); $Crypt::OpenSSL::EC::trace = 1; Crypt::OpenSSL::EC::print_errs(); my $P = Crypt::OpenSSL::EC::EC_POINT::new($group); Crypt::OpenSSL::EC::EC_POINT_set_to_infinity($group, $P); my $bool = Crypt::OpenSSL::EC::EC_POINT::is_at_infinity($group, $P); my $buf = Crypt::OpenSSL::EC::EC_POINT::point2oct($group, $Q, &Crypt::OpenSSL::EC::POINT_CONVERSION_COMPRESSED, $ctx); Crypt::OpenSSL::EC::EC_POINT::oct2point($group, $P, $buf, $ctx); Crypt::OpenSSL::EC::EC_POINT::add($group, $P, $P, $Q, $ctx); Crypt::OpenSSL::EC::EC_POINT::set_compressed_coordinates_GFp($group, $Q, $x, 1, $ctx)); my $bool = Crypt::OpenSSL::EC::EC_POINT::is_on_curve($group, $Q, $ctx)); Crypt::OpenSSL::EC::EC_POINT::copy($R, $P); my $result = Crypt::OpenSSL::EC::EC_POINT::cmp($group, $P, $Q, $ctx); Crypt::OpenSSL::EC::EC_POINT::set_affine_coordinates_GFp($group, $P, $x, $y, $ctx); Crypt::OpenSSL::EC::EC_POINT::get_affine_coordinates_GFp($group, $P, $x, $y, $ctx); Crypt::OpenSSL::EC::EC_GROUP::set_generator($group, $P, $z, Crypt::OpenSSL::Bignum->one()); my $degree = Crypt::OpenSSL::EC::EC_GROUP::get_degree($group) my $order = Crypt::OpenSSL::EC::EC_GROUP::get_order($group, $order, $ctx); Crypt::OpenSSL::EC::EC_POINT::mul($group, $Q, $order, $P, $n1, $ctx)); Crypt::OpenSSL::EC::EC_POINT::free($P); Crypt::OpenSSL::EC::EC_GROUP::free($group); =head1 DESCRIPTION This module provides a standard (non-OO) interface to the OpenSSL EC (Elliptic Curve) library. Some OO Calls are supported. Most of the functions described in openssl/ec.h are supported. It provides the Crypt::OpenSSL::EC class which defines some high level functions and constants. At also provides 4 other classes for managing EC objects: =over 4 =item Crypt::OpenSSL::EC::EC_GROUP =item Crypt::OpenSSL::EC::EC_POINT =item Crypt::OpenSSL::EC::EC_KEY =item Crypt::OpenSSL::EC::EC_METHOD =back All objects created by these 4 classes are implemented as blessed Perl mortal references. This ensures they will be auto-destroyed when the Perl variable becomes unreferenced. ASlo the approproae EC free function wil be called to free the underlying EC object. Further, it means that many of the functions below can be called using O-O methods. If a method's first argument is the same as the class the method is in, then it can be called O-O style. For example the following 2 calls are equivalent: =over 4 =item my $newgroup = Crypt::OpenSSL::EC::EC_GROUP::dup($group); =item my $newgroup = $group->dup(); =back =over 4 =item Crypt::OpenSSL::EC::EC_GFp_simple_method(); Returns the basic GFp ec methods which provides the basis for the optimized methods. =item Crypt::OpenSSL::EC::EC_GFp_mont_method(); Returns GFp methods using montgomery multiplication. =item Crypt::OpenSSL::EC::EC_GFp_nist_method(); Returns GFp methods using optimized methods for NIST recommended curves =item Crypt::OpenSSL::EC::EC_GF2m_simple_method(); Not available if OPENSSL_NO_EC2M is defined in OpenSSL. Returns the basic GF2m ec method =item Crypt::OpenSSL::EC::EC_GROUP::new($method); Creates a new EC_GROUP object $method is the method to use =item Crypt::OpenSSL::EC::EC_GROUP::set_curve_GFp($group, $p, $a, $b, $ctx); Sets the parameter of a ec over GFp defined by y^2 = x^3 + ax + b group EC_GROUP object p BIGNUM with the prime number a BIGNUM with parameter a of the equation b BIGNUM with parameter b of the equation ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_GROUP::method_of($group); Returns the EC_METHOD of the EC_GROUP object. =item Crypt::OpenSSL::EC::EC_METHOD::get_field_type($method) Returns the field type of the EC_METHOD. =item Crypt::OpenSSL::EC::EC_GROUP::copy($dst, $src); Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD. return newly created EC_GROUP object or NULL in case of an error. =item Crypt::OpenSSL::EC::EC_GROUP::dup($src); Creates a new EC_GROUP object and copies the copies the content form src to the newly created EC_GROUP object. return newly created EC_GROUP object or NULL in case of an error. =item Crypt::OpenSSL::EC::EC_GROUP::get_curve_GFp($group, $p, $a, $b, $ctx); Gets the parameter of the ec over GFp defined by y^2 = x^3 + ax + b group EC_GROUP object p BIGNUM for the prime number a BIGNUM for parameter a of the equation b BIGNUM for parameter b of the equation ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_GROUP::set_curve_GF2m($group, $p, $a, $b, $ctx); Not available if OPENSSL_NO_EC2M is defined in OpenSSL. Sets the parameter of a ec over GF2m defined by y^2 + xy = x^3 + ax^2 + b group EC_GROUP object p BIGNUM with the polynomial defining the underlying field a BIGNUM with parameter a of the equation b BIGNUM with parameter b of the equation ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_GROUP::get_curve_GF2m($group, $p, $a, $b, $ctx); Not available if OPENSSL_NO_EC2M is defined in OpenSSL. Gets the parameter of the ec over GF2m defined by y^2 + xy = x^3 + ax^2 + b group EC_GROUP object p BIGNUM for the polynomial defining the underlying field a BIGNUM for parameter a of the equation b BIGNUM for parameter b of the equation ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::print_errs(); =item Crypt::OpenSSL::EC::EC_POINT::new($group); Creates a new EC_POINT object for the specified EC_GROUP group EC_GROUP the underlying EC_GROUP object return newly created EC_POINT object or NULL if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::free($point); Frees a EC_POINT object point EC_POINT object to be freed This should normally not be called from Perl, since EC_POINT objects created by this library are auto-destroyed when they become unreferenced. =item Crypt::OpenSSL::EC::EC_POINT::clear_free($point); Clears and frees a EC_POINT object point EC_POINT object to be cleared and freed This should normally not be called from Perl, since EC_POINT objects created by this library are auto-destroyed when they become unreferenced. =item Crypt::OpenSSL::EC::EC_POINT::copy($dst, $src); Copies EC_POINT object dst destination EC_POINT object src source EC_POINT object return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::dup($src, $group); Creates a new EC_POINT object and copies the content of the supplied EC_POINT src source EC_POINT object group underlying the EC_GROUP object return newly created EC_POINT object or NULL if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::set_to_infinity($group, $point); Sets a point to infinity (neutral element) group underlying EC_GROUP object point EC_POINT to set to infinity return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::get_Jprojective_coordinates_GFp($group, $p, $x, $y, $z, $ctx); Gets the jacobian projective coordinates of a EC_POINT over GFp group underlying EC_GROUP object p EC_POINT object x BIGNUM for the x-coordinate y BIGNUM for the y-coordinate z BIGNUM for the z-coordinate ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::set_affine_coordinates_GFp($group, $p, $x, $y, $ctx); Sets the affine coordinates of a EC_POINT over GFp group underlying EC_GROUP object p EC_POINT object x BIGNUM with the x-coordinate y BIGNUM with the y-coordinate ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::get_affine_coordinates_GFp($group, $p, $x, $y, $ctx); Gets the affine coordinates of a EC_POINT over GFp group underlying EC_GROUP object p EC_POINT object x BIGNUM for the x-coordinate y BIGNUM for the y-coordinate ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::set_compressed_coordinates_GFp($group, $p, $x, $y_bit, $ctx); Sets the x9.62 compressed coordinates of a EC_POINT over GFp group underlying EC_GROUP object p EC_POINT object x BIGNUM with x-coordinate y_bit integer with the y-Bit (either 0 or 1) ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::set_affine_coordinates_GF2m($group, $p, $x, $y, $ctx); Not available if OPENSSL_NO_EC2M is defined in OpenSSL. Sets the affine coordinates of a EC_POINT over GF2m group underlying EC_GROUP object p EC_POINT object x BIGNUM with the x-coordinate y BIGNUM with the y-coordinate ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::get_affine_coordinates_GF2m($group, $p, $x, $y, $ctx); Not available if OPENSSL_NO_EC2M is defined in OpenSSL. Gets the affine coordinates of a EC_POINT over GF2m group underlying EC_GROUP object p EC_POINT object x BIGNUM for the x-coordinate y BIGNUM for the y-coordinate ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::set_compressed_coordinates_GF2m($group, $p, $x, $y_bit, $ctx); Not available if OPENSSL_NO_EC2M is defined in OpenSSL. Sets the x9.62 compressed coordinates of a EC_POINT over GF2m group underlying EC_GROUP object p EC_POINT object x BIGNUM with x-coordinate y_bit integer with the y-Bit (either 0 or 1) ctx BN_CTX object (optional) \return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::is_at_infinity($group, $p); Checks whether the point is the neutral element of the group group the underlying EC_GROUP object p EC_POINT object return 1 if the point is the neutral element and 0 otherwise =item Crypt::OpenSSL::EC::EC_POINT::point2oct($group, $p, $form, $ctx); Encodes a EC_POINT object to a octet string group underlying EC_GROUP object p EC_POINT object form point conversion form ctx BN_CTX object (optional) return the encoded EC point =item Crypt::OpenSSL::EC::EC_POINT::oct2point($group, $p, $buf, $ctx); Decodes a EC_POINT from a octet string group underlying EC_GROUP object p EC_POINT object buf buffer with the encoded ec point ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::point2bn($group, $p, $form, $bn, $ctx); =item Crypt::OpenSSL::EC::EC_POINT::bn2point($group, $bn, $p, $ctx); =item Crypt::OpenSSL::EC::EC_POINT::point2hex($group, $p, $form, $bn, $ctx); =item Crypt::OpenSSL::EC::EC_POINT::hex2point($group, $bn, $p, $ctx); =item Crypt::OpenSSL::EC::EC_POINT::add($group, $r, $a, $b, $ctx); Computes the sum of two EC_POINT group underlying EC_GROUP object r EC_POINT object for the result (r = a + b) a EC_POINT object with the first summand b EC_POINT object with the second summand ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::dbl($group, $r, $a, $ctx); Computes the double of a EC_POINT group underlying EC_GROUP object r EC_POINT object for the result (r = 2 a) a EC_POINT object ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::invert($group, $a, $ctx); Computes the inverse of a EC_POINT group underlying EC_GROUP object a EC_POINT object to be inverted (it's used for the result as well) ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_POINT::is_on_curve($group, $point, $ctx)); Checks whether the point is on the curve group underlying EC_GROUP object point EC_POINT object to check ctx BN_CTX object (optional) return 1 if point if on the curve and 0 otherwise =item Crypt::OpenSSL::EC::EC_POINT::cmp($group, $a, $b, $ctx); Compares two EC_POINTs group underlying EC_GROUP object a first EC_POINT object b second EC_POINT object ctx BN_CTX object (optional) return 0 if both points are equal and a value != 0 otherwise =item Crypt::OpenSSL::EC::EC_POINT::make_affine($group, $point, $ct); =item Crypt::OpenSSL::EC::EC_POINTs::make_affine Not Implemented =item Crypt::OpenSSL::EC::EC_POINTs::mul Not Implemented =item Crypt::OpenSSL::EC::EC_GROUP::set_generator($group, $generator, $order, $cofactor); Sets the generator and it's order/cofactor of a EC_GROUP object. group EC_GROUP object generator EC_POINT object with the generator. order the order of the group generated by the generator. cofactor the index of the sub-group generated by the generator in the group of all points on the elliptic curve. return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_GROUP::get0_generator($group); Returns the generator of a EC_GROUP object. group EC_GROUP object return the currently used generator (possibly NULL). =item Crypt::OpenSSL::EC::EC_GROUP::get_degree($group) Returns the number of bits needed to represent a field element group EC_GROUP object return number of bits needed to represent a field element =item Crypt::OpenSSL::EC::EC_GROUP::check($group, $ctx); Checks whether the parameter in the EC_GROUP define a valid ec group group EC_GROUP object ctx BN_CTX object (optional) return 1 if group is a valid ec group and 0 otherwise =item Crypt::OpenSSL::EC::EC_GROUP::check_discriminant($group, $ctx); Checks whether the discriminant of the elliptic curve is zero or not group EC_GROUP object ctx BN_CTX object (optional) return 1 if the discriminant is not zero and 0 otherwise =item Crypt::OpenSSL::EC:: EC_GROUP::cmp($a, $b, $ctx); Compares two EC_GROUP objects a first EC_GROUP object b second EC_GROUP object ctx BN_CTX object (optional) return 0 if both groups are equal and 1 otherwise =item Crypt::OpenSSL::EC::EC::EC_GROUP::new_curve_GFp($p, $a, $b, $ctx); Creates a new EC_GROUP object with the specified parameters defined over GFp (defined by the equation y^2 = x^3 + ax + b) p BIGNUM with the prime number a BIGNUM with the parameter a of the equation b BIGNUM with the parameter b of the equation ctx BN_CTX object (optional) return newly created EC_GROUP object with the specified parameters =item Crypt::OpenSSL::EC::EC_GROUP::new_curve_GF2m($p, $a, $b, $ctx); Not available if OPENSSL_NO_EC2M is defined in OpenSSL. Creates a new EC_GROUP object with the specified parameters defined over GF2m (defined by the equation y^2 + xy = x^3 + ax^2 + b) p BIGNUM with the polynomial defining the underlying field a BIGNUM with the parameter a of the equation b BIGNUM with the parameter b of the equation ctx BN_CTX object (optional) return newly created EC_GROUP object with the specified parameters =item Crypt::OpenSSL::EC::EC_GROUP::new_by_curve_name($nid); Creates a EC_GROUP object with a curve specified by a NID nid NID of the OID of the curve name return newly created EC_GROUP object with specified curve or NULL if an error occurred =item Crypt::OpenSSL::EC::EC_get_builtin_curves($r, $nitems); EC_builtin_curves(EC_builtin_curve r, size_t size) returns number of all available curves or zero if a error occurred. In case r ist not zero nitems EC_builtin_curve structures are filled with the data of the first nitems internal groups =item Crypt::OpenSSL::EC::EC_GROUP::get_order($group, $order, $ctx); Gets the order of a EC_GROUP group EC_GROUP object order BIGNUM to which the order is copied ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_GROUP::get_cofactor($group, $cofactopr, $ctx) Gets the cofactor of a EC_GROUP group EC_GROUP object cofactor BIGNUM to which the cofactor is copied ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_GROUP::set_curve_name($group, $nid); Sets the name of a EC_GROUP object group EC_GROUP object nid NID of the curve name OID =item Crypt::OpenSSL::EC::EC_GROUP::get_curve_name($group); Returns the curve name of a EC_GROUP object group EC_GROUP object return NID of the curve name OID or 0 if not set. =item Crypt::OpenSSL::EC::EC_GROUP::set_asn1_flag($group, $flag); Sets the ASN flag for the group =item Crypt::OpenSSL::EC::EC_GROUP::get_asn1_flag($group); Returns the ASN flag for the group =item Crypt::OpenSSL::EC::EC_GROUP::set_point_conversion_form($group, $form); Sets the point conversion form. =item Crypt::OpenSSL::EC::EC_GROUP::get_point_conversion_form($group); Returns the point conversion for for the group =item Crypt::OpenSSL::EC::EC_GROUP::get0_seed($group); Returns the 0 seed =item Crypt::OpenSSL::EC::EC_GROUP::get_seed_len($group); Returns the seed length =item Crypt::OpenSSL::EC::EC_GROUP::set_seed($group, $seed); Sets the group seed =item Crypt::OpenSSL::EC::EC_POINT::mul($group, $r, $n, $q, $m, $ctx)); Computes r = generator * n + q * m group underlying EC_GROUP object r EC_POINT object for the result n BIGNUM with the multiplier for the group generator (optional) q EC_POINT object with the first factor of the second summand m BIGNUM with the second factor of the second summand ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_GROUP::precompute_mult($group, $ctx); Stores multiples of generator for faster point multiplication group EC_GROUP object ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred =item Crypt::OpenSSL::EC::EC_GROUP::have_precompute_mult($group); Reports whether a precomputation has been done group EC_GROUP object return 1 if a pre-computation has been done and 0 otherwise =item Crypt::OpenSSL::EC::EC_GROUP::get_basis_type($group); EC_GROUP_get_basis_type() returns the NID of the basis type used to represent the field elements =item Crypt::OpenSSL::EC::EC_GROUP::get_trinomial_basis($group, $k); Not available if OPENSSL_NO_EC2M is defined in OpenSSL. =item Crypt::OpenSSL::EC:: EC_GROUP::get_pentanomial_basis($group, $k1, $k2, $k3); Not available if OPENSSL_NO_EC2M is defined in OpenSSL. =item Crypt::OpenSSL::EC::EC_GROUP::free($group); Frees a EC_GROUP object. This should normally not be called from Perl, since EC_GROUP objects created by this library are auto-destroyed when they become unreferenced. =item Crypt::OpenSSL::EC::EC_GROUP::clear_free($group); Clears and frees a EC_GROUP object This should normally not be called from Perl, since EC_GROUP objects created by this library are auto-destroyed when they become unreferenced. =item Crypt::OpenSSL::EC::EC_KEY::new(); Creates a new EC_KEY object. return EC_KEY object or NULL if an error occurred. =item Crypt::OpenSSL::EC::EC_KEY::new_by_curve_name($nid); Creates a new EC_KEY object using a named curve as underlying EC_GROUP object. nid NID of the named curve. return EC_KEY object or NULL if an error occurred. =item Crypt::OpenSSL::EC::EC_KEY::free($key); Frees a EC_KEY object. key EC_KEY object to be freed. This should normally not be called from Perl, since EC_KEY objects created by this library are auto-destroyed when they become unreferenced. =item Crypt::OpenSSL::EC::EC_KEY::copy($dst, $src); Copies a EC_KEY object. dst destination EC_KEY object src src EC_KEY object return dst or NULL if an error occurred. =item Crypt::OpenSSL::EC::EC_KEY::dup($src); Creates a new EC_KEY object and copies the content from src to it. src the source EC_KEY object return newly created EC_KEY object or NULL if an error occurred. =item Crypt::OpenSSL::EC::EC_KEY::up_ref($key); Increases the internal reference count of a EC_KEY object. key EC_KEY object return 1 on success and 0 if an error occurred. =item Crypt::OpenSSL::EC::EC_KEY::get0_group($key); Returns the EC_GROUP object of a EC_KEY object key EC_KEY object \return the EC_GROUP object (possibly NULL). =item Crypt::OpenSSL::EC::EC_KEY::set_group($key, $group); Sets the EC_GROUP of a EC_KEY object. key EC_KEY object group EC_GROUP to use in the EC_KEY object (note: the EC_KEY object will use an own copy of the EC_GROUP). return 1 on success and 0 if an error occurred. =item Crypt::OpenSSL::EC::EC_KEY::set_private_key($key, $prv); Sets the private key of a EC_KEY object. key EC_KEY object prv BIGNUM with the private key (note: the EC_KEY object will use an own copy of the BIGNUM). return 1 on success and 0 if an error occurred. =item Crypt::OpenSSL::EC::EC_KEY::get0_public_key($key); Returns the public key of a EC_KEY object. key the EC_KEY object return a EC_POINT object with the public key (possibly NULL) =item Crypt::OpenSSL::EC::EC_KEY::set_public_key($key, $pub); Sets the public key of a EC_KEY object. key EC_KEY object pub EC_POINT object with the public key (note: the EC_KEY object will use an own copy of the EC_POINT object). return 1 on success and 0 if an error occurred. =item Crypt::OpenSSL::EC::EC_KEY::get_enc_flags($key); =item Crypt::OpenSSL::EC::EC_KEY::set_enc_flags($key, $flags); =item Crypt::OpenSSL::EC::EC_KEY::get_conv_form($key) =item Crypt::OpenSSL::EC::EC_KEY::set_conv_form($key, $form); =item Crypt::OpenSSL::EC::EC_KEY::get_key_method_data Not Implemented =item Crypt::OpenSSL::EC::EC_KEY::insert_key_method_data Not Implemented =item Crypt::OpenSSL::EC::EC_KEY::set_asn1_flag($key, $flag); =item Crypt::OpenSSL::EC::EC_KEY::precompute_mult($key, $ctx); Creates a table of pre-computed multiples of the generator to further EC_KEY operations. key EC_KEY object ctx BN_CTX object (optional) return 1 on success and 0 if an error occurred. =item Crypt::OpenSSL::EC::EC_KEY::generate_key($key); Creates a new ec private (and optional a new public) key. key EC_KEY object return 1 on success and 0 if an error occurred. =item Crypt::OpenSSL::EC::EC_KEY::check_key($key); Verifies that a private and/or public key is valid. key the EC_KEY object return 1 on success and 0 otherwise. =back =head2 EXPORT None by default. =head2 Exportable constants EC_F_COMPUTE_WNAF EC_F_D2I_ECPARAMETERS EC_F_D2I_ECPKPARAMETERS EC_F_D2I_ECPRIVATEKEY EC_F_DO_EC_KEY_PRINT EC_F_ECKEY_PARAM2TYPE EC_F_ECKEY_PARAM_DECODE EC_F_ECKEY_PRIV_DECODE EC_F_ECKEY_PRIV_ENCODE EC_F_ECKEY_PUB_DECODE EC_F_ECKEY_PUB_ENCODE EC_F_ECKEY_TYPE2PARAM EC_F_ECPARAMETERS_PRINT EC_F_ECPARAMETERS_PRINT_FP EC_F_ECPKPARAMETERS_PRINT EC_F_ECPKPARAMETERS_PRINT_FP EC_F_ECP_NIST_MOD_192 EC_F_ECP_NIST_MOD_224 EC_F_ECP_NIST_MOD_256 EC_F_ECP_NIST_MOD_521 EC_F_EC_ASN1_GROUP2CURVE EC_F_EC_ASN1_GROUP2FIELDID EC_F_EC_ASN1_GROUP2PARAMETERS EC_F_EC_ASN1_GROUP2PKPARAMETERS EC_F_EC_ASN1_PARAMETERS2GROUP EC_F_EC_ASN1_PKPARAMETERS2GROUP EC_F_EC_EX_DATA_SET_DATA EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE EC_F_EC_GF2M_SIMPLE_OCT2POINT EC_F_EC_GF2M_SIMPLE_POINT2OCT EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES EC_F_EC_GFP_MONT_FIELD_DECODE EC_F_EC_GFP_MONT_FIELD_ENCODE EC_F_EC_GFP_MONT_FIELD_MUL EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE EC_F_EC_GFP_MONT_FIELD_SQR EC_F_EC_GFP_MONT_GROUP_SET_CURVE EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP EC_F_EC_GFP_NIST_FIELD_MUL EC_F_EC_GFP_NIST_FIELD_SQR EC_F_EC_GFP_NIST_GROUP_SET_CURVE EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR EC_F_EC_GFP_SIMPLE_MAKE_AFFINE EC_F_EC_GFP_SIMPLE_OCT2POINT EC_F_EC_GFP_SIMPLE_POINT2OCT EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP EC_F_EC_GROUP_CHECK EC_F_EC_GROUP_CHECK_DISCRIMINANT EC_F_EC_GROUP_COPY EC_F_EC_GROUP_GET0_GENERATOR EC_F_EC_GROUP_GET_COFACTOR EC_F_EC_GROUP_GET_CURVE_GF2M EC_F_EC_GROUP_GET_CURVE_GFP EC_F_EC_GROUP_GET_DEGREE EC_F_EC_GROUP_GET_ORDER EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS EC_F_EC_GROUP_GET_TRINOMIAL_BASIS EC_F_EC_GROUP_NEW EC_F_EC_GROUP_NEW_BY_CURVE_NAME EC_F_EC_GROUP_NEW_FROM_DATA EC_F_EC_GROUP_PRECOMPUTE_MULT EC_F_EC_GROUP_SET_CURVE_GF2M EC_F_EC_GROUP_SET_CURVE_GFP EC_F_EC_GROUP_SET_EXTRA_DATA EC_F_EC_GROUP_SET_GENERATOR EC_F_EC_KEY_CHECK_KEY EC_F_EC_KEY_COPY EC_F_EC_KEY_GENERATE_KEY EC_F_EC_KEY_NEW EC_F_EC_KEY_PRINT EC_F_EC_KEY_PRINT_FP EC_F_EC_POINTS_MAKE_AFFINE EC_F_EC_POINT_ADD EC_F_EC_POINT_CMP EC_F_EC_POINT_COPY EC_F_EC_POINT_DBL EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2Mg EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP EC_F_EC_POINT_INVERT EC_F_EC_POINT_IS_AT_INFINITY EC_F_EC_POINT_IS_ON_CURVE EC_F_EC_POINT_MAKE_AFFINE EC_F_EC_POINT_MUL EC_F_EC_POINT_NEW EC_F_EC_POINT_OCT2POINT EC_F_EC_POINT_POINT2OCT EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP EC_F_EC_POINT_SET_TO_INFINITY EC_F_EC_PRE_COMP_DUP EC_F_EC_PRE_COMP_NEW EC_F_EC_WNAF_MUL EC_F_EC_WNAF_PRECOMPUTE_MULT EC_F_I2D_ECPARAMETERS EC_F_I2D_ECPKPARAMETERS EC_F_I2D_ECPRIVATEKEY EC_F_I2O_ECPUBLICKEY EC_F_O2I_ECPUBLICKEY EC_F_OLD_EC_PRIV_DECODE EC_F_PKEY_EC_CTRL EC_F_PKEY_EC_CTRL_STR EC_F_PKEY_EC_DERIVE EC_F_PKEY_EC_KEYGEN EC_F_PKEY_EC_PARAMGEN EC_F_PKEY_EC_SIGN EC_PKEY_NO_PARAMETERS EC_PKEY_NO_PUBKEY EC_R_ASN1_ERROR EC_R_ASN1_UNKNOWN_FIELD EC_R_BUFFER_TOO_SMALL EC_R_D2I_ECPKPARAMETERS_FAILURE EC_R_DECODE_ERROR EC_R_DISCRIMINANT_IS_ZERO EC_R_EC_GROUP_NEW_BY_NAME_FAILURE EC_R_FIELD_TOO_LARGE EC_R_GROUP2PKPARAMETERS_FAILURE EC_R_I2D_ECPKPARAMETERS_FAILURE EC_R_INCOMPATIBLE_OBJECTS EC_R_INVALID_ARGUMENT EC_R_INVALID_COMPRESSED_POINT EC_R_INVALID_COMPRESSION_BIT EC_R_INVALID_CURVE EC_R_INVALID_DIGEST_TYPE EC_R_INVALID_ENCODING EC_R_INVALID_FIELD EC_R_INVALID_FORM EC_R_INVALID_GROUP_ORDER EC_R_INVALID_PENTANOMIAL_BASIS EC_R_INVALID_PRIVATE_KEY EC_R_INVALID_TRINOMIAL_BASIS EC_R_KEYS_NOT_SET EC_R_MISSING_PARAMETERS EC_R_MISSING_PRIVATE_KEY EC_R_NOT_A_NIST_PRIME EC_R_NOT_A_SUPPORTED_NIST_PRIME EC_R_NOT_IMPLEMENTED EC_R_NOT_INITIALIZED EC_R_NO_FIELD_MOD EC_R_NO_PARAMETERS_SET EC_R_PASSED_NULL_PARAMETER EC_R_PKPARAMETERS2GROUP_FAILURE EC_R_POINT_AT_INFINITY EC_R_POINT_IS_NOT_ON_CURVE EC_R_SLOT_FULL EC_R_UNDEFINED_GENERATOR EC_R_UNDEFINED_ORDER EC_R_UNKNOWN_GROUP EC_R_UNKNOWN_ORDER EC_R_UNSUPPORTED_FIELD EC_R_WRONG_ORDER EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID OPENSSL_ECC_MAX_FIELD_BITS OPENSSL_EC_NAMED_CURVE POINT_CONVERSION_COMPRESSED POINT_CONVERSION_HYBRID POINT_CONVERSION_UNCOMPRESSED =head1 SEE ALSO Crypt::OpenSSL::Bignum OpenSSL =head1 AUTHOR Mike McCauley, E<lt>mikem@airspayce.comE<gt> =head1 COPYRIGHT AND LICENSE Copyright (C) 2012 by Mike McCauley This library is free software; you can redistribute it and/or modify it under the same terms as Perl itself, either Perl version 5.14.2 or, at your option, any later version of Perl 5 you may have available. =cut

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