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.\" ========================================================================
.\"
.IX Title "Crypt::OpenSSL::EC 3pm"
.TH Crypt::OpenSSL::EC 3pm "2020-11-09" "perl v5.32.0" "User Contributed Perl Documentation"
.\" For nroff, turn off justification.  Always turn off hyphenation; it makes
.\" way too many mistakes in technical documents.
.if n .ad l
.nh
.SH "NAME"
Crypt::OpenSSL::EC \- Perl extension for OpenSSL EC (Elliptic Curves) library
.SH "SYNOPSIS"
.IX Header "SYNOPSIS"
.Vb 2
\&   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);
.Ve
.SH "DESCRIPTION"
.IX Header "DESCRIPTION"
This module provides a standard (non-OO) interface to the OpenSSL \s-1EC\s0 (Elliptic Curve) library.
Some \s-1OO\s0 Calls are supported.
.PP
Most of the functions described in openssl/ec.h are supported.
.PP
It provides the Crypt::OpenSSL::EC class which defines some high level functions and constants.
At also provides 4 other classes for managing \s-1EC\s0 objects:
.IP "Crypt::OpenSSL::EC::EC_GROUP" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP"
.PD 0
.IP "Crypt::OpenSSL::EC::EC_POINT" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT"
.IP "Crypt::OpenSSL::EC::EC_KEY" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY"
.IP "Crypt::OpenSSL::EC::EC_METHOD" 4
.IX Item "Crypt::OpenSSL::EC::EC_METHOD"
.PD
.PP
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 \s-1EC\s0 free function wil be called to
free the underlying \s-1EC\s0 object.
.PP
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:
.ie n .IP "my $newgroup = Crypt::OpenSSL::EC::EC_GROUP::dup($group);" 4
.el .IP "my \f(CW$newgroup\fR = Crypt::OpenSSL::EC::EC_GROUP::dup($group);" 4
.IX Item "my $newgroup = Crypt::OpenSSL::EC::EC_GROUP::dup($group);"
.PD 0
.ie n .IP "my $newgroup = $group\->\fBdup()\fR;" 4
.el .IP "my \f(CW$newgroup\fR = \f(CW$group\fR\->\fBdup()\fR;" 4
.IX Item "my $newgroup = $group->dup();"
.IP "\fBCrypt::OpenSSL::EC::EC_GFp_simple_method()\fR;" 4
.IX Item "Crypt::OpenSSL::EC::EC_GFp_simple_method();"
.PD
Returns the basic GFp ec methods which provides the basis for the
optimized methods.
.IP "\fBCrypt::OpenSSL::EC::EC_GFp_mont_method()\fR;" 4
.IX Item "Crypt::OpenSSL::EC::EC_GFp_mont_method();"
Returns GFp methods using montgomery multiplication.
.IP "\fBCrypt::OpenSSL::EC::EC_GFp_nist_method()\fR;" 4
.IX Item "Crypt::OpenSSL::EC::EC_GFp_nist_method();"
Returns GFp methods using optimized methods for \s-1NIST\s0 recommended curves
.IP "\fBCrypt::OpenSSL::EC::EC_GF2m_simple_method()\fR;" 4
.IX Item "Crypt::OpenSSL::EC::EC_GF2m_simple_method();"
Not available if \s-1OPENSSL_NO_EC2M\s0 is defined in OpenSSL.
.Sp
Returns the basic GF2m ec method
.IP "Crypt::OpenSSL::EC::EC_GROUP::new($method);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::new($method);"
Creates a new \s-1EC_GROUP\s0 object
\&\f(CW$method\fR is the method to use
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::set_curve_GFp($group, $p, $a, $b, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::set_curve_GFp($group, \f(CW$p\fR, \f(CW$a\fR, \f(CW$b\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::set_curve_GFp($group, $p, $a, $b, $ctx);"
Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
  group  \s-1EC_GROUP\s0 object
  p      \s-1BIGNUM\s0 with the prime number
  a      \s-1BIGNUM\s0 with parameter a of the equation
  b      \s-1BIGNUM\s0 with parameter b of the equation
  ctx    \s-1BN_CTX\s0 object (optional)
 return 1 on success and 0 if an error occurred
.IP "Crypt::OpenSSL::EC::EC_GROUP::method_of($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::method_of($group);"
Returns the \s-1EC_METHOD\s0 of the \s-1EC_GROUP\s0 object.
.IP "Crypt::OpenSSL::EC::EC_METHOD::get_field_type($method)" 4
.IX Item "Crypt::OpenSSL::EC::EC_METHOD::get_field_type($method)"
Returns the field type of the \s-1EC_METHOD.\s0
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::copy($dst, $src);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::copy($dst, \f(CW$src\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::copy($dst, $src);"
Copies \s-1EC_GROUP\s0 objects. Note: both EC_GROUPs must use the same \s-1EC_METHOD.\s0
return newly created \s-1EC_GROUP\s0 object or \s-1NULL\s0 in case of an error.
.IP "Crypt::OpenSSL::EC::EC_GROUP::dup($src);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::dup($src);"
Creates a new \s-1EC_GROUP\s0 object and copies the copies the content
form src to the newly created \s-1EC_GROUP\s0 object.
return newly created \s-1EC_GROUP\s0 object or \s-1NULL\s0 in case of an error.
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::get_curve_GFp($group, $p, $a, $b, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::get_curve_GFp($group, \f(CW$p\fR, \f(CW$a\fR, \f(CW$b\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get_curve_GFp($group, $p, $a, $b, $ctx);"
Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
  group  \s-1EC_GROUP\s0 object
  p      \s-1BIGNUM\s0 for the prime number
  a      \s-1BIGNUM\s0 for parameter a of the equation
  b      \s-1BIGNUM\s0 for parameter b of the equation
  ctx    \s-1BN_CTX\s0 object (optional)
 return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::set_curve_GF2m($group, $p, $a, $b, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::set_curve_GF2m($group, \f(CW$p\fR, \f(CW$a\fR, \f(CW$b\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::set_curve_GF2m($group, $p, $a, $b, $ctx);"
Not available if \s-1OPENSSL_NO_EC2M\s0 is defined in OpenSSL.
.Sp
Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
  group  \s-1EC_GROUP\s0 object
  p      \s-1BIGNUM\s0 with the polynomial defining the underlying field
  a      \s-1BIGNUM\s0 with parameter a of the equation
  b      \s-1BIGNUM\s0 with parameter b of the equation
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::get_curve_GF2m($group, $p, $a, $b, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::get_curve_GF2m($group, \f(CW$p\fR, \f(CW$a\fR, \f(CW$b\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get_curve_GF2m($group, $p, $a, $b, $ctx);"
Not available if \s-1OPENSSL_NO_EC2M\s0 is defined in OpenSSL.
.Sp
Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
  group  \s-1EC_GROUP\s0 object
  p      \s-1BIGNUM\s0 for the polynomial defining the underlying field
  a      \s-1BIGNUM\s0 for parameter a of the equation
  b      \s-1BIGNUM\s0 for parameter b of the equation
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.IP "\fBCrypt::OpenSSL::EC::print_errs()\fR;" 4
.IX Item "Crypt::OpenSSL::EC::print_errs();"
.PD 0
.IP "Crypt::OpenSSL::EC::EC_POINT::new($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::new($group);"
.PD
Creates a new \s-1EC_POINT\s0 object for the specified \s-1EC_GROUP\s0
  group  \s-1EC_GROUP\s0 the underlying \s-1EC_GROUP\s0 object
  return newly created \s-1EC_POINT\s0 object or \s-1NULL\s0 if an error occurred
.IP "Crypt::OpenSSL::EC::EC_POINT::free($point);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::free($point);"
Frees a \s-1EC_POINT\s0 object
  point  \s-1EC_POINT\s0 object to be freed
This should normally not be called from Perl, since \s-1EC_POINT\s0 objects created by this 
library are auto-destroyed when they become unreferenced.
.IP "Crypt::OpenSSL::EC::EC_POINT::clear_free($point);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::clear_free($point);"
Clears and frees a \s-1EC_POINT\s0 object
  point  \s-1EC_POINT\s0 object to be cleared and freed
This should normally not be called from Perl, since \s-1EC_POINT\s0 objects created by this 
library are auto-destroyed when they become unreferenced.
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::copy($dst, $src);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::copy($dst, \f(CW$src\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::copy($dst, $src);"
Copies \s-1EC_POINT\s0 object
  dst  destination \s-1EC_POINT\s0 object
  src  source \s-1EC_POINT\s0 object
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::dup($src, $group);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::dup($src, \f(CW$group\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::dup($src, $group);"
Creates a new \s-1EC_POINT\s0 object and copies the content of the supplied
\&\s-1EC_POINT\s0
  src    source \s-1EC_POINT\s0 object
  group  underlying the \s-1EC_GROUP\s0 object
  return newly created \s-1EC_POINT\s0 object or \s-1NULL\s0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::set_to_infinity($group, $point);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::set_to_infinity($group, \f(CW$point\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::set_to_infinity($group, $point);"
Sets a point to infinity (neutral element)
  group  underlying \s-1EC_GROUP\s0 object
  point  \s-1EC_POINT\s0 to set to infinity
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::get_Jprojective_coordinates_GFp($group, $p, $x, $y, $z, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::get_Jprojective_coordinates_GFp($group, \f(CW$p\fR, \f(CW$x\fR, \f(CW$y\fR, \f(CW$z\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::get_Jprojective_coordinates_GFp($group, $p, $x, $y, $z, $ctx);"
Gets the jacobian projective coordinates of a \s-1EC_POINT\s0 over GFp
  group  underlying \s-1EC_GROUP\s0 object
  p      \s-1EC_POINT\s0 object
  x      \s-1BIGNUM\s0 for the x\-coordinate
  y      \s-1BIGNUM\s0 for the y\-coordinate
  z      \s-1BIGNUM\s0 for the z\-coordinate
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::set_affine_coordinates_GFp($group, $p, $x, $y, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::set_affine_coordinates_GFp($group, \f(CW$p\fR, \f(CW$x\fR, \f(CW$y\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::set_affine_coordinates_GFp($group, $p, $x, $y, $ctx);"
Sets the affine coordinates of a \s-1EC_POINT\s0 over GFp
  group  underlying \s-1EC_GROUP\s0 object
  p      \s-1EC_POINT\s0 object
  x      \s-1BIGNUM\s0 with the x\-coordinate
  y      \s-1BIGNUM\s0 with the y\-coordinate
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::get_affine_coordinates_GFp($group, $p, $x, $y, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::get_affine_coordinates_GFp($group, \f(CW$p\fR, \f(CW$x\fR, \f(CW$y\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::get_affine_coordinates_GFp($group, $p, $x, $y, $ctx);"
Gets the affine coordinates of a \s-1EC_POINT\s0 over GFp
  group  underlying \s-1EC_GROUP\s0 object
  p      \s-1EC_POINT\s0 object
  x      \s-1BIGNUM\s0 for the x\-coordinate
  y      \s-1BIGNUM\s0 for the y\-coordinate
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::set_compressed_coordinates_GFp($group, $p, $x, $y_bit, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::set_compressed_coordinates_GFp($group, \f(CW$p\fR, \f(CW$x\fR, \f(CW$y_bit\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::set_compressed_coordinates_GFp($group, $p, $x, $y_bit, $ctx);"
Sets the x9.62 compressed coordinates of a \s-1EC_POINT\s0 over GFp
  group  underlying \s-1EC_GROUP\s0 object
  p      \s-1EC_POINT\s0 object
  x      \s-1BIGNUM\s0 with x\-coordinate
  y_bit  integer with the y\-Bit (either 0 or 1)
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::set_affine_coordinates_GF2m($group, $p, $x, $y, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::set_affine_coordinates_GF2m($group, \f(CW$p\fR, \f(CW$x\fR, \f(CW$y\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::set_affine_coordinates_GF2m($group, $p, $x, $y, $ctx);"
Not available if \s-1OPENSSL_NO_EC2M\s0 is defined in OpenSSL.
.Sp
Sets the affine coordinates of a \s-1EC_POINT\s0 over GF2m
  group  underlying \s-1EC_GROUP\s0 object
  p      \s-1EC_POINT\s0 object
  x      \s-1BIGNUM\s0 with the x\-coordinate
  y      \s-1BIGNUM\s0 with the y\-coordinate
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::get_affine_coordinates_GF2m($group, $p, $x, $y, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::get_affine_coordinates_GF2m($group, \f(CW$p\fR, \f(CW$x\fR, \f(CW$y\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::get_affine_coordinates_GF2m($group, $p, $x, $y, $ctx);"
Not available if \s-1OPENSSL_NO_EC2M\s0 is defined in OpenSSL.
.Sp
Gets the affine coordinates of a \s-1EC_POINT\s0 over GF2m
  group  underlying \s-1EC_GROUP\s0 object
  p      \s-1EC_POINT\s0 object
  x      \s-1BIGNUM\s0 for the x\-coordinate
  y      \s-1BIGNUM\s0 for the y\-coordinate
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::set_compressed_coordinates_GF2m($group, $p, $x, $y_bit, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::set_compressed_coordinates_GF2m($group, \f(CW$p\fR, \f(CW$x\fR, \f(CW$y_bit\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::set_compressed_coordinates_GF2m($group, $p, $x, $y_bit, $ctx);"
Not available if \s-1OPENSSL_NO_EC2M\s0 is defined in OpenSSL.
.Sp
Sets the x9.62 compressed coordinates of a \s-1EC_POINT\s0 over GF2m
  group  underlying \s-1EC_GROUP\s0 object
  p      \s-1EC_POINT\s0 object
  x      \s-1BIGNUM\s0 with x\-coordinate
  y_bit  integer with the y\-Bit (either 0 or 1)
  ctx    \s-1BN_CTX\s0 object (optional)
  \ereturn 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::is_at_infinity($group, $p);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::is_at_infinity($group, \f(CW$p\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::is_at_infinity($group, $p);"
Checks whether the point is the neutral element of the group
  group  the underlying \s-1EC_GROUP\s0 object
  p      \s-1EC_POINT\s0 object
  return 1 if the point is the neutral element and 0 otherwise
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::point2oct($group, $p, $form, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::point2oct($group, \f(CW$p\fR, \f(CW$form\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::point2oct($group, $p, $form, $ctx);"
Encodes a \s-1EC_POINT\s0 object to a octet string
  group  underlying \s-1EC_GROUP\s0 object
  p      \s-1EC_POINT\s0 object
  form   point conversion form
  ctx    \s-1BN_CTX\s0 object (optional)
  return the encoded \s-1EC\s0 point
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::oct2point($group, $p, $buf, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::oct2point($group, \f(CW$p\fR, \f(CW$buf\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::oct2point($group, $p, $buf, $ctx);"
Decodes a \s-1EC_POINT\s0 from a octet string
  group  underlying \s-1EC_GROUP\s0 object
  p      \s-1EC_POINT\s0 object
  buf    buffer with the encoded ec point
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::point2bn($group, $p, $form, $bn, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::point2bn($group, \f(CW$p\fR, \f(CW$form\fR, \f(CW$bn\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::point2bn($group, $p, $form, $bn, $ctx);"
.PD 0
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::bn2point($group, $bn, $p, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::bn2point($group, \f(CW$bn\fR, \f(CW$p\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::bn2point($group, $bn, $p, $ctx);"
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::point2hex($group, $p, $form, $bn, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::point2hex($group, \f(CW$p\fR, \f(CW$form\fR, \f(CW$bn\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::point2hex($group, $p, $form, $bn, $ctx);"
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::hex2point($group, $bn, $p, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::hex2point($group, \f(CW$bn\fR, \f(CW$p\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::hex2point($group, $bn, $p, $ctx);"
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::add($group, $r, $a, $b, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::add($group, \f(CW$r\fR, \f(CW$a\fR, \f(CW$b\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::add($group, $r, $a, $b, $ctx);"
.PD
.Vb 7
\& Computes the sum of two EC_POINT 
\&  group  underlying EC_GROUP object
\&  r      EC_POINT object for the result (r = a + b)
\&  a      EC_POINT object with the first summand
\&  b      EC_POINT object with the second summand
\&  ctx    BN_CTX object (optional)
\&  return 1 on success and 0 if an error occurred
.Ve
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::dbl($group, $r, $a, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::dbl($group, \f(CW$r\fR, \f(CW$a\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::dbl($group, $r, $a, $ctx);"
Computes the double of a \s-1EC_POINT\s0
  group  underlying \s-1EC_GROUP\s0 object
  r      \s-1EC_POINT\s0 object for the result (r = 2 * a)
  a      \s-1EC_POINT\s0 object 
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::invert($group, $a, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::invert($group, \f(CW$a\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::invert($group, $a, $ctx);"
Computes the inverse of a \s-1EC_POINT\s0
  group  underlying \s-1EC_GROUP\s0 object
  a      \s-1EC_POINT\s0 object to be inverted (it's used for the result as well)
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::is_on_curve($group, $point, $ctx));" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::is_on_curve($group, \f(CW$point\fR, \f(CW$ctx\fR));" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::is_on_curve($group, $point, $ctx));"
Checks whether the point is on the curve 
  group  underlying \s-1EC_GROUP\s0 object
  point  \s-1EC_POINT\s0 object to check
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 if point if on the curve and 0 otherwise
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::cmp($group, $a, $b, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::cmp($group, \f(CW$a\fR, \f(CW$b\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::cmp($group, $a, $b, $ctx);"
Compares two EC_POINTs 
  group  underlying \s-1EC_GROUP\s0 object
  a      first \s-1EC_POINT\s0 object
  b      second \s-1EC_POINT\s0 object
  ctx    \s-1BN_CTX\s0 object (optional)
  return 0 if both points are equal and a value != 0 otherwise
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::make_affine($group, $point, $ct);" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::make_affine($group, \f(CW$point\fR, \f(CW$ct\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::make_affine($group, $point, $ct);"
.PD 0
.IP "Crypt::OpenSSL::EC::EC_POINTs::make_affine" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINTs::make_affine"
.PD
Not Implemented
.IP "Crypt::OpenSSL::EC::EC_POINTs::mul" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINTs::mul"
Not Implemented
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::set_generator($group, $generator, $order, $cofactor);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::set_generator($group, \f(CW$generator\fR, \f(CW$order\fR, \f(CW$cofactor\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::set_generator($group, $generator, $order, $cofactor);"
Sets the generator and it's order/cofactor of a \s-1EC_GROUP\s0 object.
  group      \s-1EC_GROUP\s0 object 
  generator  \s-1EC_POINT\s0 object with the generator.
  order      the order of the group generated by the generator.
  cofactor   the index of the sub-group generated by the generator
           in the group of all points on the elliptic curve.
  return 1 on success and 0 if an error occurred
.IP "Crypt::OpenSSL::EC::EC_GROUP::get0_generator($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get0_generator($group);"
Returns the generator of a \s-1EC_GROUP\s0 object.
.Sp
.Vb 1
\&  group  EC_GROUP object
.Ve
.Sp
return the currently used generator (possibly \s-1NULL\s0).
.IP "Crypt::OpenSSL::EC::EC_GROUP::get_degree($group)" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get_degree($group)"
Returns the number of bits needed to represent a field element 
  group  \s-1EC_GROUP\s0 object
  return number of bits needed to represent a field element
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::check($group, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::check($group, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::check($group, $ctx);"
Checks whether the parameter in the \s-1EC_GROUP\s0 define a valid ec group
  group  \s-1EC_GROUP\s0 object
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 if group is a valid ec group and 0 otherwise
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::check_discriminant($group, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::check_discriminant($group, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::check_discriminant($group, $ctx);"
Checks whether the discriminant of the elliptic curve is zero or not
  group  \s-1EC_GROUP\s0 object
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 if the discriminant is not zero and 0 otherwise
.ie n .IP "Crypt::OpenSSL::EC:: EC_GROUP::cmp($a, $b, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC:: EC_GROUP::cmp($a, \f(CW$b\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC:: EC_GROUP::cmp($a, $b, $ctx);"
Compares two \s-1EC_GROUP\s0 objects
  a    first \s-1EC_GROUP\s0 object
  b    second \s-1EC_GROUP\s0 object
  ctx  \s-1BN_CTX\s0 object (optional)
  return 0 if both groups are equal and 1 otherwise
.ie n .IP "Crypt::OpenSSL::EC::EC::EC_GROUP::new_curve_GFp($p, $a, $b, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC::EC_GROUP::new_curve_GFp($p, \f(CW$a\fR, \f(CW$b\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC::EC_GROUP::new_curve_GFp($p, $a, $b, $ctx);"
Creates a new \s-1EC_GROUP\s0 object with the specified parameters defined
over GFp (defined by the equation y^2 = x^3 + a*x + b)
  p    \s-1BIGNUM\s0 with the prime number
  a    \s-1BIGNUM\s0 with the parameter a of the equation
  b    \s-1BIGNUM\s0 with the parameter b of the equation
  ctx  \s-1BN_CTX\s0 object (optional)
  return newly created \s-1EC_GROUP\s0 object with the specified parameters
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::new_curve_GF2m($p, $a, $b, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::new_curve_GF2m($p, \f(CW$a\fR, \f(CW$b\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::new_curve_GF2m($p, $a, $b, $ctx);"
Not available if \s-1OPENSSL_NO_EC2M\s0 is defined in OpenSSL.
.Sp
Creates a new \s-1EC_GROUP\s0 object with the specified parameters defined
over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
  p    \s-1BIGNUM\s0 with the polynomial defining the underlying field
  a    \s-1BIGNUM\s0 with the parameter a of the equation
  b    \s-1BIGNUM\s0 with the parameter b of the equation
  ctx  \s-1BN_CTX\s0 object (optional)
  return newly created \s-1EC_GROUP\s0 object with the specified parameters
.IP "Crypt::OpenSSL::EC::EC_GROUP::new_by_curve_name($nid);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::new_by_curve_name($nid);"
Creates a \s-1EC_GROUP\s0 object with a curve specified by a \s-1NID\s0
  nid  \s-1NID\s0 of the \s-1OID\s0 of the curve name
  return newly created \s-1EC_GROUP\s0 object with specified curve or \s-1NULL\s0
           if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_get_builtin_curves($r, $nitems);" 4
.el .IP "Crypt::OpenSSL::EC::EC_get_builtin_curves($r, \f(CW$nitems\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_get_builtin_curves($r, $nitems);"
EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number 
of all available curves or zero if a error occurred. 
In case r ist not zero nitems EC_builtin_curve structures 
are filled with the data of the first nitems internal groups
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::get_order($group, $order, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::get_order($group, \f(CW$order\fR, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get_order($group, $order, $ctx);"
Gets the order of a \s-1EC_GROUP\s0
.Sp
.Vb 4
\&  group  EC_GROUP object
\&  order  BIGNUM to which the order is copied
\&  ctx    BN_CTX object (optional)
\&  return 1 on success and 0 if an error occurred
.Ve
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::get_cofactor($group, $cofactopr, $ctx)" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::get_cofactor($group, \f(CW$cofactopr\fR, \f(CW$ctx\fR)" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get_cofactor($group, $cofactopr, $ctx)"
Gets the cofactor of a \s-1EC_GROUP\s0
.Sp
.Vb 4
\&  group     EC_GROUP object
\&  cofactor  BIGNUM to which the cofactor is copied
\&  ctx       BN_CTX object (optional)
\&  return 1 on success and 0 if an error occurred
.Ve
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::set_curve_name($group, $nid);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::set_curve_name($group, \f(CW$nid\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::set_curve_name($group, $nid);"
Sets the name of a \s-1EC_GROUP\s0 object
  group  \s-1EC_GROUP\s0 object
  nid    \s-1NID\s0 of the curve name \s-1OID\s0
.IP "Crypt::OpenSSL::EC::EC_GROUP::get_curve_name($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get_curve_name($group);"
Returns the curve name of a \s-1EC_GROUP\s0 object
  group  \s-1EC_GROUP\s0 object
  return \s-1NID\s0 of the curve name \s-1OID\s0 or 0 if not set.
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::set_asn1_flag($group, $flag);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::set_asn1_flag($group, \f(CW$flag\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::set_asn1_flag($group, $flag);"
Sets the \s-1ASN\s0 flag for the group
.IP "Crypt::OpenSSL::EC::EC_GROUP::get_asn1_flag($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get_asn1_flag($group);"
Returns the \s-1ASN\s0 flag for the group
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::set_point_conversion_form($group, $form);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::set_point_conversion_form($group, \f(CW$form\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::set_point_conversion_form($group, $form);"
Sets the point conversion form.
.IP "Crypt::OpenSSL::EC::EC_GROUP::get_point_conversion_form($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get_point_conversion_form($group);"
Returns the point conversion for for the group
.IP "Crypt::OpenSSL::EC::EC_GROUP::get0_seed($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get0_seed($group);"
Returns the 0 seed
.IP "Crypt::OpenSSL::EC::EC_GROUP::get_seed_len($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get_seed_len($group);"
Returns the seed length
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::set_seed($group, $seed);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::set_seed($group, \f(CW$seed\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::set_seed($group, $seed);"
Sets the group seed
.ie n .IP "Crypt::OpenSSL::EC::EC_POINT::mul($group, $r, $n, $q, $m, $ctx));" 4
.el .IP "Crypt::OpenSSL::EC::EC_POINT::mul($group, \f(CW$r\fR, \f(CW$n\fR, \f(CW$q\fR, \f(CW$m\fR, \f(CW$ctx\fR));" 4
.IX Item "Crypt::OpenSSL::EC::EC_POINT::mul($group, $r, $n, $q, $m, $ctx));"
Computes r = generator * n + q * m
  group  underlying \s-1EC_GROUP\s0 object
  r      \s-1EC_POINT\s0 object for the result
  n      \s-1BIGNUM\s0 with the multiplier for the group generator (optional)
  q      \s-1EC_POINT\s0 object with the first factor of the second summand
  m      \s-1BIGNUM\s0 with the second factor of the second summand
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::precompute_mult($group, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::precompute_mult($group, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::precompute_mult($group, $ctx);"
Stores multiples of generator for faster point multiplication
  group  \s-1EC_GROUP\s0 object
  ctx    \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred
.IP "Crypt::OpenSSL::EC::EC_GROUP::have_precompute_mult($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::have_precompute_mult($group);"
Reports whether a precomputation has been done
  group  \s-1EC_GROUP\s0 object
  return 1 if a pre-computation has been done and 0 otherwise
.IP "Crypt::OpenSSL::EC::EC_GROUP::get_basis_type($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get_basis_type($group);"
\&\fBEC_GROUP_get_basis_type()\fR returns the \s-1NID\s0 of the basis type
used to represent the field elements
.ie n .IP "Crypt::OpenSSL::EC::EC_GROUP::get_trinomial_basis($group, $k);" 4
.el .IP "Crypt::OpenSSL::EC::EC_GROUP::get_trinomial_basis($group, \f(CW$k\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::get_trinomial_basis($group, $k);"
Not available if \s-1OPENSSL_NO_EC2M\s0 is defined in OpenSSL.
.ie n .IP "Crypt::OpenSSL::EC:: EC_GROUP::get_pentanomial_basis($group, $k1, $k2, $k3);" 4
.el .IP "Crypt::OpenSSL::EC:: EC_GROUP::get_pentanomial_basis($group, \f(CW$k1\fR, \f(CW$k2\fR, \f(CW$k3\fR);" 4
.IX Item "Crypt::OpenSSL::EC:: EC_GROUP::get_pentanomial_basis($group, $k1, $k2, $k3);"
Not available if \s-1OPENSSL_NO_EC2M\s0 is defined in OpenSSL.
.IP "Crypt::OpenSSL::EC::EC_GROUP::free($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::free($group);"
Frees a \s-1EC_GROUP\s0 object.
This should normally not be called from Perl, since \s-1EC_GROUP\s0 objects created by this 
library are auto-destroyed when they become unreferenced.
.IP "Crypt::OpenSSL::EC::EC_GROUP::clear_free($group);" 4
.IX Item "Crypt::OpenSSL::EC::EC_GROUP::clear_free($group);"
Clears and frees a \s-1EC_GROUP\s0 object
This should normally not be called from Perl, since \s-1EC_GROUP\s0 objects created by this 
library are auto-destroyed when they become unreferenced.
.IP "\fBCrypt::OpenSSL::EC::EC_KEY::new()\fR; Creates a new \s-1EC_KEY\s0 object. return \s-1EC_KEY\s0 object or \s-1NULL\s0 if an error occurred." 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::new(); Creates a new EC_KEY object. return EC_KEY object or NULL if an error occurred."
.PD 0
.IP "Crypt::OpenSSL::EC::EC_KEY::new_by_curve_name($nid);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::new_by_curve_name($nid);"
.PD
Creates a new \s-1EC_KEY\s0 object using a named curve as underlying
\&\s-1EC_GROUP\s0 object.
  nid  \s-1NID\s0 of the named curve.
  return \s-1EC_KEY\s0 object or \s-1NULL\s0 if an error occurred.
.IP "Crypt::OpenSSL::EC::EC_KEY::free($key);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::free($key);"
Frees a \s-1EC_KEY\s0 object.
  key  \s-1EC_KEY\s0 object to be freed.
This should normally not be called from Perl, since \s-1EC_KEY\s0 objects created by this 
library are auto-destroyed when they become unreferenced.
.ie n .IP "Crypt::OpenSSL::EC::EC_KEY::copy($dst, $src);" 4
.el .IP "Crypt::OpenSSL::EC::EC_KEY::copy($dst, \f(CW$src\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::copy($dst, $src);"
Copies a \s-1EC_KEY\s0 object.
  dst  destination \s-1EC_KEY\s0 object
  src  src \s-1EC_KEY\s0 object
  return dst or \s-1NULL\s0 if an error occurred.
.IP "Crypt::OpenSSL::EC::EC_KEY::dup($src);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::dup($src);"
Creates a new \s-1EC_KEY\s0 object and copies the content from src to it.
  src  the source \s-1EC_KEY\s0 object
  return newly created \s-1EC_KEY\s0 object or \s-1NULL\s0 if an error occurred.
.IP "Crypt::OpenSSL::EC::EC_KEY::up_ref($key);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::up_ref($key);"
Increases the internal reference count of a \s-1EC_KEY\s0 object.
  key  \s-1EC_KEY\s0 object
  return 1 on success and 0 if an error occurred.
.IP "Crypt::OpenSSL::EC::EC_KEY::get0_group($key);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::get0_group($key);"
Returns the \s-1EC_GROUP\s0 object of a \s-1EC_KEY\s0 object
  key  \s-1EC_KEY\s0 object
  \ereturn the \s-1EC_GROUP\s0 object (possibly \s-1NULL\s0).
.ie n .IP "Crypt::OpenSSL::EC::EC_KEY::set_group($key, $group);" 4
.el .IP "Crypt::OpenSSL::EC::EC_KEY::set_group($key, \f(CW$group\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::set_group($key, $group);"
Sets the \s-1EC_GROUP\s0 of a \s-1EC_KEY\s0 object.
  key    \s-1EC_KEY\s0 object
  group  \s-1EC_GROUP\s0 to use in the \s-1EC_KEY\s0 object (note: the \s-1EC_KEY\s0
         object will use an own copy of the \s-1EC_GROUP\s0).
  return 1 on success and 0 if an error occurred.
.ie n .IP "Crypt::OpenSSL::EC::EC_KEY::set_private_key($key, $prv);" 4
.el .IP "Crypt::OpenSSL::EC::EC_KEY::set_private_key($key, \f(CW$prv\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::set_private_key($key, $prv);"
Sets the private key of a \s-1EC_KEY\s0 object.
  key  \s-1EC_KEY\s0 object
  prv  \s-1BIGNUM\s0 with the private key (note: the \s-1EC_KEY\s0 object
       will use an own copy of the \s-1BIGNUM\s0).
  return 1 on success and 0 if an error occurred.
.IP "Crypt::OpenSSL::EC::EC_KEY::get0_public_key($key);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::get0_public_key($key);"
Returns the public key of a \s-1EC_KEY\s0 object.
  key  the \s-1EC_KEY\s0 object
  return a \s-1EC_POINT\s0 object with the public key (possibly \s-1NULL\s0)
.ie n .IP "Crypt::OpenSSL::EC::EC_KEY::set_public_key($key, $pub);" 4
.el .IP "Crypt::OpenSSL::EC::EC_KEY::set_public_key($key, \f(CW$pub\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::set_public_key($key, $pub);"
Sets the public key of a \s-1EC_KEY\s0 object.
  key  \s-1EC_KEY\s0 object
  pub  \s-1EC_POINT\s0 object with the public key (note: the \s-1EC_KEY\s0 object
       will use an own copy of the \s-1EC_POINT\s0 object).
  return 1 on success and 0 if an error occurred.
.IP "Crypt::OpenSSL::EC::EC_KEY::get_enc_flags($key);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::get_enc_flags($key);"
.PD 0
.ie n .IP "Crypt::OpenSSL::EC::EC_KEY::set_enc_flags($key, $flags);" 4
.el .IP "Crypt::OpenSSL::EC::EC_KEY::set_enc_flags($key, \f(CW$flags\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::set_enc_flags($key, $flags);"
.IP "Crypt::OpenSSL::EC::EC_KEY::get_conv_form($key)" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::get_conv_form($key)"
.ie n .IP "Crypt::OpenSSL::EC::EC_KEY::set_conv_form($key, $form);" 4
.el .IP "Crypt::OpenSSL::EC::EC_KEY::set_conv_form($key, \f(CW$form\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::set_conv_form($key, $form);"
.IP "Crypt::OpenSSL::EC::EC_KEY::get_key_method_data" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::get_key_method_data"
.PD
Not Implemented
.IP "Crypt::OpenSSL::EC::EC_KEY::insert_key_method_data" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::insert_key_method_data"
Not Implemented
.ie n .IP "Crypt::OpenSSL::EC::EC_KEY::set_asn1_flag($key, $flag);" 4
.el .IP "Crypt::OpenSSL::EC::EC_KEY::set_asn1_flag($key, \f(CW$flag\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::set_asn1_flag($key, $flag);"
.PD 0
.ie n .IP "Crypt::OpenSSL::EC::EC_KEY::precompute_mult($key, $ctx);" 4
.el .IP "Crypt::OpenSSL::EC::EC_KEY::precompute_mult($key, \f(CW$ctx\fR);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::precompute_mult($key, $ctx);"
.PD
Creates a table of pre-computed multiples of the generator to 
further \s-1EC_KEY\s0 operations.
  key  \s-1EC_KEY\s0 object
  ctx  \s-1BN_CTX\s0 object (optional)
  return 1 on success and 0 if an error occurred.
.IP "Crypt::OpenSSL::EC::EC_KEY::generate_key($key);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::generate_key($key);"
Creates a new ec private (and optional a new public) key.
  key  \s-1EC_KEY\s0 object
  return 1 on success and 0 if an error occurred.
.IP "Crypt::OpenSSL::EC::EC_KEY::check_key($key);" 4
.IX Item "Crypt::OpenSSL::EC::EC_KEY::check_key($key);"
Verifies that a private and/or public key is valid.
  key  the \s-1EC_KEY\s0 object
  return 1 on success and 0 otherwise.
.SS "\s-1EXPORT\s0"
.IX Subsection "EXPORT"
None by default.
.SS "Exportable constants"
.IX Subsection "Exportable constants"
.Vb 10
\&  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
.Ve
.SH "SEE ALSO"
.IX Header "SEE ALSO"
Crypt::OpenSSL::Bignum
.PP
OpenSSL
.SH "AUTHOR"
.IX Header "AUTHOR"
Mike McCauley, <mikem@airspayce.com>
.SH "COPYRIGHT AND LICENSE"
.IX Header "COPYRIGHT AND LICENSE"
Copyright (C) 2012 by Mike McCauley
.PP
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.