# Path: pycoind/util/base58.py
# def decode_check(payload):
#     'Returns the base58 decoded value, verifying the checksum.'
#     payload = b58decode(payload, None)
#     if payload and sha256d(payload[:-4])[:4] == payload[-4:]:
#         return payload[:-4]
#     return None
# 
# def encode_check(payload):
#     'Returns the base58 encoding with a 4-byte checksum.'
# 
#     checksum = sha256d(payload)[:4]
#     return b58encode(payload + checksum)
# 
# Path: pycoind/util/hash.py
# def sha256d(data):
#     return sha256(sha256(data))
# 
# Path: pycoind/util/key.py
# def privkey_from_wif(privkey, prefix = chr(0x80)):
#     key = base58.decode_check(privkey)
#     if prefix != key[0]:
#         raise ValueError('wif private key has does not match prefix')
#     if len(key) == 33:
#         if privkey[0] != '5':
#             raise ValueError('uncompressed wif private key does not begin with 5')
#         return key[1:]
#     elif len(key) == 34:
#         if key[-1] != chr(0x01):
#             raise ValueError('compressed wif private key missing compression bit')
#         if privkey[0] not in ('L', 'K'):
#             raise ValueError('uncompressed wif private key does not begin with 5')
#         return key[1:-1]
#     raise ValueError('invalid wif private key')
# 
# def privkey_to_wif(privkey, prefix = chr(0x80)):
#     return base58.encode_check(prefix + privkey)
# 
# def publickey_to_address(publickey, version = chr(0)):
#     return pubkeyhash_to_address(hash160(publickey), version)


import base64
from .base58 import decode_check, encode_check
from .hash import sha256d
from .ecdsa import SECP256k1 as curve
from .ecdsa import ellipticcurve
from .ecdsa.util import randrange, string_to_number, number_to_string
from .key import privkey_from_wif, privkey_to_wif, publickey_to_address
        # ...verify the required number of keys
        r = ord(private_key[3])
        if required is None:
            required = r
        elif required != r:
            if ignore_errors:
                continue
            raise ValueError('key does not match set: %s' % key)

        # ...verify the checksum
        c = private_key[4:8]
        if checksum is None:
            checksum = c
        elif checksum != c:
            if ignore_errors:
                continue
            raise ValueError('key checksum does not match set: %s' % key)

        # ...add this key to the correct key-set
        index = ord(private_key[2])
        if index not in parts: parts[index] = set()
        parts[index].add(private_key[8:])

    # find (if any) a complete key-set
    for group in parts.values():
        if len(group) == required:

            # combine the private keys and wif encode it
            secexp = sum(string_to_number(k) for k in group) % curve.order
            private_key = number_to_string(secexp, curve.order)

# Path: pycoind/util/base58.py
# def decode_check(payload):
#     'Returns the base58 decoded value, verifying the checksum.'
#     payload = b58decode(payload, None)
#     if payload and sha256d(payload[:-4])[:4] == payload[-4:]:
#         return payload[:-4]
#     return None
# 
# def encode_check(payload):
#     'Returns the base58 encoding with a 4-byte checksum.'
# 
#     checksum = sha256d(payload)[:4]
#     return b58encode(payload + checksum)
# 
# Path: pycoind/util/hash.py
# def sha256d(data):
#     return sha256(sha256(data))
# 
# Path: pycoind/util/key.py
# def privkey_from_wif(privkey, prefix = chr(0x80)):
#     key = base58.decode_check(privkey)
#     if prefix != key[0]:
#         raise ValueError('wif private key has does not match prefix')
#     if len(key) == 33:
#         if privkey[0] != '5':
#             raise ValueError('uncompressed wif private key does not begin with 5')
#         return key[1:]
#     elif len(key) == 34:
#         if key[-1] != chr(0x01):
#             raise ValueError('compressed wif private key missing compression bit')
#         if privkey[0] not in ('L', 'K'):
#             raise ValueError('uncompressed wif private key does not begin with 5')
#         return key[1:-1]
#     raise ValueError('invalid wif private key')
# 
# def privkey_to_wif(privkey, prefix = chr(0x80)):
#     return base58.encode_check(prefix + privkey)
# 
# def publickey_to_address(publickey, version = chr(0)):
#     return pubkeyhash_to_address(hash160(publickey), version)


# Path: pycoind/util/piecewise.py
import base64
from .base58 import decode_check, encode_check
from .hash import sha256d
from .ecdsa import SECP256k1 as curve
from .ecdsa import ellipticcurve
from .ecdsa.util import randrange, string_to_number, number_to_string
from .key import privkey_from_wif, privkey_to_wif, publickey_to_address

        # ...verify the required number of keys
        r = ord(private_key[3])
        if required is None:
            required = r
        elif required != r:
            if ignore_errors:
                continue
            raise ValueError('key does not match set: %s' % key)

        # ...verify the checksum
        c = private_key[4:8]
        if checksum is None:
            checksum = c
        elif checksum != c:
            if ignore_errors:
                continue
            raise ValueError('key checksum does not match set: %s' % key)

        # ...add this key to the correct key-set
        index = ord(private_key[2])
        if index not in parts: parts[index] = set()
        parts[index].add(private_key[8:])

    # find (if any) a complete key-set
    for group in parts.values():
        if len(group) == required:

            # combine the private keys and wif encode it
            secexp = sum(string_to_number(k) for k in group) % curve.order
            private_key = number_to_string(secexp, curve.order)

            if sha256d(private_key)[:4] != checksum: