:py:mod:`ggmpc.curves`
======================

.. py:module:: ggmpc.curves

.. autoapi-nested-parse::

   Supported elliptic curves. 



Module Contents
---------------

Classes
~~~~~~~

.. autoapisummary::

   ggmpc.curves.Curve




Attributes
~~~~~~~~~~

.. autoapisummary::

   ggmpc.curves.secp256k1
   ggmpc.curves.ed25519


.. py:class:: Curve(scalar_random, scalar_add, scalar_sub, scalar_mul, scalar_reduce, scalar_negate, scalar_invert, scalar_mul_base, point_add, point_mul, order, hash, verify)

   Elliptic curve parameters.

   :param scalar_random: Function that returns a random field element.

   :type scalar_random: function

   :param scalar_add: Function that returns the sum of two field elements modulo
     the order of the curve.

   :type scalar_add: function

   :param scalar_sub: Function that returns the difference of two field elements
     modulo the order of the curve.

   :type scalar_sub: function

   :param scalar_mul: Function that returns the product of two field elements
     modulo the order of the curve.

   :type scalar_mul: function

   :param scalar_reduce: Function that reduces a scalar modulo the order of the
     curve.

   :type scalar_reduce: function

   :param scalar_invert: Function that returns the modular multiplicative inverse
     of a field element.

   :type scalar_invert: function

   :param scalar_negate: Function that returns the negated field element modulo
     the order of the curve.

   :type scalar_negate: function

   :param scalar_mul_base: Function that multiplies the curve generator by a field
     element.

   :type scalar_mul_base: function

   :param point_add: Function that adds two group elements.

   :type point_add: function

   :param point_mul: Function that multiplies a group element by a field element.

   :type point_mul: function

   :param order: Function that returns the order of the curve.

   :type order: function

   :param hash: A hash function using a `hashlib`-like interface.

   :type hash: function

   :param verify: Function that verifies a signature.

   :type verify: function


.. py:data:: secp256k1

   Secp256k1 ECDSA curve. 


.. py:data:: ed25519

   Ed25519 EdDSA curve.