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Low level implementation of Elliptic-Curve Digital Signatures.

.. note ::
    You're most likely looking for the :py:class:`~ecdsa.keys` module.
    This is a low-level implementation of the ECDSA that operates on
    integers, not byte strings.

NOTE: This a low level implementation of ECDSA, for normal applications
you should be looking at the keys.py module.

Classes and methods for elliptic-curve signatures:
private keys, public keys, signatures,
and definitions of prime-modulus curves.

Example:

.. code-block:: python

   # (In real-life applications, you would probably want to
   # protect against defects in SystemRandom.)
   from random import SystemRandom
   randrange = SystemRandom().randrange

   # Generate a public/private key pair using the NIST Curve P-192:

   g = generator_192
   n = g.order()
   secret = randrange( 1, n )
   pubkey = Public_key( g, g * secret )
   privkey = Private_key( pubkey, secret )

   # Signing a hash value:

   hash = randrange( 1, n )
   signature = privkey.sign( hash, randrange( 1, n ) )

   # Verifying a signature for a hash value:

   if pubkey.verifies( hash, signature ):
     print("Demo verification succeeded.")
   else:
     print("*** Demo verification failed.")

   # Verification fails if the hash value is modified:

   if pubkey.verifies( hash-1, signature ):
     print("**** Demo verification failed to reject tampered hash.")
   else:
     print("Demo verification correctly rejected tampered hash.")

Revision history:
      2005.12.31 - Initial version.

      2008.11.25 - Substantial revisions introducing new classes.

      2009.05.16 - Warn against using random.randrange in real applications.

      2009.05.17 - Use random.SystemRandom by default.

Originally written in 2005 by Peter Pearson and placed in the public domain,
modified as part of the python-ecdsa package.
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