arithmetic docstring and formatting
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@ -1,5 +1,6 @@
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# pylint: disable=missing-docstring,too-many-function-args
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"""
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Arithmetic Expressions
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"""
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import hashlib
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import hashlib
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import re
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import re
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@ -11,6 +12,7 @@ G = (Gx, Gy)
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def inv(a, n):
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def inv(a, n):
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"""Inversion"""
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lm, hm = 1, 0
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lm, hm = 1, 0
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low, high = a % n, n
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low, high = a % n, n
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while low > 1:
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while low > 1:
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@ -21,6 +23,7 @@ def inv(a, n):
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def get_code_string(base):
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def get_code_string(base):
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"""Returns string according to base value"""
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if base == 2:
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if base == 2:
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return '01'
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return '01'
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elif base == 10:
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elif base == 10:
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@ -36,6 +39,7 @@ def get_code_string(base):
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def encode(val, base, minlen=0):
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def encode(val, base, minlen=0):
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"""Returns the encoded string"""
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code_string = get_code_string(base)
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code_string = get_code_string(base)
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result = ""
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result = ""
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while val > 0:
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while val > 0:
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@ -47,6 +51,7 @@ def encode(val, base, minlen=0):
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def decode(string, base):
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def decode(string, base):
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"""Returns the decoded string"""
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code_string = get_code_string(base)
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code_string = get_code_string(base)
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result = 0
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result = 0
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if base == 16:
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if base == 16:
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@ -59,10 +64,13 @@ def decode(string, base):
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def changebase(string, frm, to, minlen=0):
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def changebase(string, frm, to, minlen=0):
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"""Change base of the string"""
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return encode(decode(string, frm), to, minlen)
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return encode(decode(string, frm), to, minlen)
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def base10_add(a, b):
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def base10_add(a, b):
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"""Adding the numbers that are of base10"""
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# pylint: disable=too-many-function-args
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if a is None:
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if a is None:
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return b[0], b[1]
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return b[0], b[1]
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if b is None:
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if b is None:
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@ -78,6 +86,7 @@ def base10_add(a, b):
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def base10_double(a):
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def base10_double(a):
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"""Double the numbers that are of base10"""
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if a is None:
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if a is None:
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return None
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return None
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m = ((3 * a[0] * a[0] + A) * inv(2 * a[1], P)) % P
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m = ((3 * a[0] * a[0] + A) * inv(2 * a[1], P)) % P
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@ -87,6 +96,7 @@ def base10_double(a):
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def base10_multiply(a, n):
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def base10_multiply(a, n):
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"""Multiply the numbers that are of base10"""
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if n == 0:
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if n == 0:
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return G
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return G
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if n == 1:
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if n == 1:
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@ -99,28 +109,35 @@ def base10_multiply(a, n):
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def hex_to_point(h):
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def hex_to_point(h):
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"""Converting hexadecimal to point value"""
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return (decode(h[2:66], 16), decode(h[66:], 16))
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return (decode(h[2:66], 16), decode(h[66:], 16))
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def point_to_hex(p):
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def point_to_hex(p):
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"""Converting point value to hexadecimal"""
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return '04' + encode(p[0], 16, 64) + encode(p[1], 16, 64)
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return '04' + encode(p[0], 16, 64) + encode(p[1], 16, 64)
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def multiply(privkey, pubkey):
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def multiply(privkey, pubkey):
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return point_to_hex(base10_multiply(hex_to_point(pubkey), decode(privkey, 16)))
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"""Multiplying keys"""
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return point_to_hex(base10_multiply(
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hex_to_point(pubkey), decode(privkey, 16)))
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def privtopub(privkey):
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def privtopub(privkey):
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"""Converting key from private to public"""
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return point_to_hex(base10_multiply(G, decode(privkey, 16)))
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return point_to_hex(base10_multiply(G, decode(privkey, 16)))
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def add(p1, p2):
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def add(p1, p2):
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"""Adding two public keys"""
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if len(p1) == 32:
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if len(p1) == 32:
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return encode(decode(p1, 16) + decode(p2, 16) % P, 16, 32)
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return encode(decode(p1, 16) + decode(p2, 16) % P, 16, 32)
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return point_to_hex(base10_add(hex_to_point(p1), hex_to_point(p2)))
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return point_to_hex(base10_add(hex_to_point(p1), hex_to_point(p2)))
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def hash_160(string):
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def hash_160(string):
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"""Hashed version of public key"""
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intermed = hashlib.sha256(string).digest()
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intermed = hashlib.sha256(string).digest()
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ripemd160 = hashlib.new('ripemd160')
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ripemd160 = hashlib.new('ripemd160')
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ripemd160.update(intermed)
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ripemd160.update(intermed)
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@ -128,17 +145,18 @@ def hash_160(string):
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def dbl_sha256(string):
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def dbl_sha256(string):
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"""Double hashing (SHA256)"""
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return hashlib.sha256(hashlib.sha256(string).digest()).digest()
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return hashlib.sha256(hashlib.sha256(string).digest()).digest()
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def bin_to_b58check(inp):
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def bin_to_b58check(inp):
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"""Convert binary to base58"""
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inp_fmtd = '\x00' + inp
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inp_fmtd = '\x00' + inp
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leadingzbytes = len(re.match('^\x00*', inp_fmtd).group(0))
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leadingzbytes = len(re.match('^\x00*', inp_fmtd).group(0))
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checksum = dbl_sha256(inp_fmtd)[:4]
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checksum = dbl_sha256(inp_fmtd)[:4]
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return '1' * leadingzbytes + changebase(inp_fmtd + checksum, 256, 58)
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return '1' * leadingzbytes + changebase(inp_fmtd + checksum, 256, 58)
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# Convert a public key (in hex) to a Bitcoin address
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def pubkey_to_address(pubkey):
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def pubkey_to_address(pubkey):
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"""Convert a public key (in hex) to a Bitcoin address"""
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return bin_to_b58check(hash_160(changebase(pubkey, 16, 256)))
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return bin_to_b58check(hash_160(changebase(pubkey, 16, 256)))
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@ -1,8 +1,7 @@
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#!/usr/bin/env python
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#!/usr/bin/env python
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# -*- coding: utf-8 -*-
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# -*- coding: utf-8 -*-
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"""
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"""
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src/pyelliptic/ecc.py
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Asymmetric cryptography using elliptic curves
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=====================
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"""
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"""
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# pylint: disable=protected-access
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# pylint: disable=protected-access
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