diff options
Diffstat (limited to 'frozen_deps/ecdsa/numbertheory.py')
| -rw-r--r-- | frozen_deps/ecdsa/numbertheory.py | 71 |
1 files changed, 43 insertions, 28 deletions
diff --git a/frozen_deps/ecdsa/numbertheory.py b/frozen_deps/ecdsa/numbertheory.py index e5cc888..d3500c7 100644 --- a/frozen_deps/ecdsa/numbertheory.py +++ b/frozen_deps/ecdsa/numbertheory.py @@ -7,10 +7,11 @@ # Written in 2005 and 2006 by Peter Pearson and placed in the public domain. # Revision history: # 2008.11.14: Use pow(base, exponent, modulus) for modular_exp. -# Make gcd and lcm accept arbitrarly many arguments. +# Make gcd and lcm accept arbitrarily many arguments. from __future__ import division +import sys from six import integer_types, PY2 from six.moves import reduce @@ -42,6 +43,10 @@ class Error(Exception): pass +class JacobiError(Error): + pass + + class SquareRootError(Error): pass @@ -153,8 +158,10 @@ def jacobi(a, n): # table printed in HAC, and by extensive use in calculating # modular square roots. - assert n >= 3 - assert n % 2 == 1 + if not n >= 3: + raise JacobiError("n must be larger than 2") + if not n % 2 == 1: + raise JacobiError("n must be odd") a = a % n if a == 0: return 0 @@ -201,9 +208,8 @@ def square_root_mod_prime(a, p): d = pow(a, (p - 1) // 4, p) if d == 1: return pow(a, (p + 3) // 8, p) - if d == p - 1: - return (2 * a * pow(4 * a, (p - 5) // 8, p)) % p - raise RuntimeError("Shouldn't get here.") + assert d == p - 1 + return (2 * a * pow(4 * a, (p - 5) // 8, p)) % p if PY2: # xrange on python2 can take integers representable as C long only @@ -214,53 +220,63 @@ def square_root_mod_prime(a, p): if jacobi(b * b - 4 * a, p) == -1: f = (a, -b, 1) ff = polynomial_exp_mod((0, 1), (p + 1) // 2, f, p) - assert ff[1] == 0 + if ff[1]: + raise SquareRootError("p is not prime") return ff[0] raise RuntimeError("No b found.") -if GMPY2: +# because all the inverse_mod code is arch/environment specific, and coveralls +# expects it to execute equal number of times, we need to waive it by +# adding the "no branch" pragma to all branches +if GMPY2: # pragma: no branch def inverse_mod(a, m): """Inverse of a mod m.""" - if a == 0: + if a == 0: # pragma: no branch return 0 return powmod(a, -1, m) - -elif GMPY: +elif GMPY: # pragma: no branch def inverse_mod(a, m): """Inverse of a mod m.""" - # while libgmp likely does support inverses modulo, it is accessible - # only using the native `pow()` function, and `pow()` sanity checks - # the parameters before passing them on to underlying implementation - # on Python2 - if a == 0: + # while libgmp does support inverses modulo, it is accessible + # only using the native `pow()` function, and `pow()` in gmpy sanity + # checks the parameters before passing them on to underlying + # implementation + if a == 0: # pragma: no branch return 0 a = mpz(a) m = mpz(m) lm, hm = mpz(1), mpz(0) low, high = a % m, m - while low > 1: + while low > 1: # pragma: no branch r = high // low lm, low, hm, high = hm - lm * r, high - low * r, lm, low return lm % m +elif sys.version_info >= (3, 8): # pragma: no branch + + def inverse_mod(a, m): + """Inverse of a mod m.""" + if a == 0: # pragma: no branch + return 0 + return pow(a, -1, m) -else: +else: # pragma: no branch def inverse_mod(a, m): """Inverse of a mod m.""" - if a == 0: + if a == 0: # pragma: no branch return 0 lm, hm = 1, 0 low, high = a % m, m - while low > 1: + while low > 1: # pragma: no branch r = high // low lm, low, hm, high = hm - lm * r, high - low * r, lm, low @@ -321,7 +337,6 @@ def factorization(n): return [] result = [] - d = 2 # Test the small primes: @@ -374,7 +389,7 @@ def phi(n): # pragma: no cover warnings.warn( "Function is unused by library code. If you use this code, " "please open an issue in " - "https://github.com/warner/python-ecdsa", + "https://github.com/tlsfuzzer/python-ecdsa", DeprecationWarning, ) @@ -404,7 +419,7 @@ def carmichael(n): # pragma: no cover warnings.warn( "Function is unused by library code. If you use this code, " "please open an issue in " - "https://github.com/warner/python-ecdsa", + "https://github.com/tlsfuzzer/python-ecdsa", DeprecationWarning, ) @@ -419,7 +434,7 @@ def carmichael_of_factorized(f_list): # pragma: no cover warnings.warn( "Function is unused by library code. If you use this code, " "please open an issue in " - "https://github.com/warner/python-ecdsa", + "https://github.com/tlsfuzzer/python-ecdsa", DeprecationWarning, ) @@ -439,7 +454,7 @@ def carmichael_of_ppower(pp): # pragma: no cover warnings.warn( "Function is unused by library code. If you use this code, " "please open an issue in " - "https://github.com/warner/python-ecdsa", + "https://github.com/tlsfuzzer/python-ecdsa", DeprecationWarning, ) @@ -456,7 +471,7 @@ def order_mod(x, m): # pragma: no cover warnings.warn( "Function is unused by library code. If you use this code, " "please open an issue in " - "https://github.com/warner/python-ecdsa", + "https://github.com/tlsfuzzer/python-ecdsa", DeprecationWarning, ) @@ -482,7 +497,7 @@ def largest_factor_relatively_prime(a, b): # pragma: no cover warnings.warn( "Function is unused by library code. If you use this code, " "please open an issue in " - "https://github.com/warner/python-ecdsa", + "https://github.com/tlsfuzzer/python-ecdsa", DeprecationWarning, ) @@ -507,7 +522,7 @@ def kinda_order_mod(x, m): # pragma: no cover warnings.warn( "Function is unused by library code. If you use this code, " "please open an issue in " - "https://github.com/warner/python-ecdsa", + "https://github.com/tlsfuzzer/python-ecdsa", DeprecationWarning, ) |