/usr/lib/python2.7/dist-packages/pyelliptic/arithmetic.py is in python-pyelliptic 1.5.7-1.1ubuntu2.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 | # Copyright (c) 2012-2014 Jonathan Warren
# Copyright (c) 2013-2014 The Bitmessage Developers
#
# Permission is hereby granted, free of charge, to any person obtaining a copy
# of this software and associated documentation files (the "Software"), to deal
# in the Software without restriction, including without limitation the rights
# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
# copies of the Software, and to permit persons to whom the Software is
# furnished to do so, subject to the following conditions:
#
# The above copyright notice and this permission notice shall be included in all
# copies or substantial portions of the Software.
#
# 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.
import re
import hashlib
P = 2**256-2**32-2**9-2**8-2**7-2**6-2**4-1
A = 0
Gx = 55066263022277343669578718895168534326250603453777594175500187360389116729240
Gy = 32670510020758816978083085130507043184471273380659243275938904335757337482424
G = (Gx, Gy)
def inv(a, n):
lm, hm = 1, 0
low, high = a % n, n
while low > 1:
r = high / low
nm, new = hm - lm * r, high - low * r
lm, low, hm, high = nm, new, lm, low
return lm % n
def get_code_string(base):
if base == 2:
return '01'
elif base == 10:
return '0123456789'
elif base == 16:
return "0123456789abcdef"
elif base == 58:
return "123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz"
elif base == 256:
return ''.join([chr(x) for x in range(256)])
else:
raise ValueError("Invalid base!")
def encode(val, base, minlen=0):
code_string = get_code_string(base)
result = ""
while val > 0:
result = code_string[val % base] + result
val /= base
if len(result) < minlen:
result = code_string[0] * (minlen - len(result)) + result
return result
def decode(string, base):
code_string = get_code_string(base)
result = 0
if base == 16:
string = string.lower()
while len(string) > 0:
result *= base
result += code_string.find(string[0])
string = string[1:]
return result
def changebase(string, frm, to, minlen=0):
return encode(decode(string, frm), to, minlen)
def base10_add(a, b):
if a is None:
return b[0], b[1]
if b is None:
return a[0], a[1]
if a[0] == b[0]:
if a[1] == b[1]:
return base10_double(a[0], a[1])
else:
return None
m = ((b[1] - a[1]) * inv(b[0] - a[0], P)) % P
x = (m * m - a[0] - b[0]) % P
y = (m * (a[0] - x) - a[1]) % P
return (x, y)
def base10_double(a):
if a is None:
return None
m = ((3 * a[0] * a[0] + A) * inv(2 * a[1], P)) % P
x = (m * m - 2 * a[0]) % P
y = (m * (a[0] - x) - a[1]) % P
return (x, y)
def base10_multiply(a, n):
if n == 0:
return G
if n == 1:
return a
if (n % 2) == 0:
return base10_double(base10_multiply(a, n / 2))
if (n % 2) == 1:
return base10_add(base10_double(base10_multiply(a, n / 2)), a)
def hex_to_point(h):
return (decode(h[2:66], 16), decode(h[66:], 16))
def point_to_hex(p):
return '04' + encode(p[0], 16, 64) + encode(p[1], 16, 64)
def multiply(privkey, pubkey):
return point_to_hex(base10_multiply(hex_to_point(pubkey),
decode(privkey, 16)))
def privtopub(privkey):
return point_to_hex(base10_multiply(G, decode(privkey, 16)))
def add(p1, p2):
if (len(p1) == 32):
return encode(decode(p1, 16) + decode(p2, 16) % P, 16, 32)
else:
return point_to_hex(base10_add(hex_to_point(p1), hex_to_point(p2)))
def hash_160(string):
intermed = hashlib.sha256(string).digest()
ripemd160 = hashlib.new('ripemd160')
ripemd160.update(intermed)
return ripemd160.digest()
def dbl_sha256(string):
return hashlib.sha256(hashlib.sha256(string).digest()).digest()
def bin_to_b58check(inp):
inp_fmtd = '\x00' + inp
leadingzbytes = len(re.match('^\x00*', inp_fmtd).group(0))
checksum = dbl_sha256(inp_fmtd)[:4]
return '1' * leadingzbytes + changebase(inp_fmtd + checksum, 256, 58)
# Convert a public key (in hex) to a Bitcoin address
def pubkey_to_address(pubkey):
return bin_to_b58check(hash_160(changebase(pubkey, 16, 256)))
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