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#
#   DSA.py : Digital Signature Algorithm
#
#  Part of the Python Cryptography Toolkit
#
#  Written by Andrew Kuchling, Paul Swartz, and others
#
# ===================================================================
# The contents of this file are dedicated to the public domain.  To
# the extent that dedication to the public domain is not available,
# everyone is granted a worldwide, perpetual, royalty-free,
# non-exclusive license to exercise all rights associated with the
# contents of this file for any purpose whatsoever.
# No rights are reserved.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
# SOFTWARE.
# ===================================================================
#

__revision__ = "$Id$"

from Crypto.PublicKey.pubkey import *
from Crypto.Util import number
from Crypto.Util.number import bytes_to_long, long_to_bytes
from Crypto.Hash import SHA
from Crypto.Util.py3compat import *

class error (Exception):
    pass

def generateQ(randfunc):
    S=randfunc(20)
    hash1=SHA.new(S).digest()
    hash2=SHA.new(long_to_bytes(bytes_to_long(S)+1)).digest()
    q = bignum(0)
    for i in range(0,20):
        c=bord(hash1[i])^bord(hash2[i])
        if i==0:
            c=c | 128
        if i==19:
            c= c | 1
        q=q*256+c
    while (not isPrime(q)):
       