You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
67 lines
1.5 KiB
67 lines
1.5 KiB
"""Benchmarks for polynomials over Galois fields. """
|
|
|
|
|
|
from sympy.polys.galoistools import gf_from_dict, gf_factor_sqf
|
|
from sympy.polys.domains import ZZ
|
|
from sympy.core.numbers import pi
|
|
from sympy.ntheory.generate import nextprime
|
|
|
|
|
|
def gathen_poly(n, p, K):
|
|
return gf_from_dict({n: K.one, 1: K.one, 0: K.one}, p, K)
|
|
|
|
|
|
def shoup_poly(n, p, K):
|
|
f = [K.one] * (n + 1)
|
|
for i in range(1, n + 1):
|
|
f[i] = (f[i - 1]**2 + K.one) % p
|
|
return f
|
|
|
|
|
|
def genprime(n, K):
|
|
return K(nextprime(int((2**n * pi).evalf())))
|
|
|
|
p_10 = genprime(10, ZZ)
|
|
f_10 = gathen_poly(10, p_10, ZZ)
|
|
|
|
p_20 = genprime(20, ZZ)
|
|
f_20 = gathen_poly(20, p_20, ZZ)
|
|
|
|
|
|
def timeit_gathen_poly_f10_zassenhaus():
|
|
gf_factor_sqf(f_10, p_10, ZZ, method='zassenhaus')
|
|
|
|
|
|
def timeit_gathen_poly_f10_shoup():
|
|
gf_factor_sqf(f_10, p_10, ZZ, method='shoup')
|
|
|
|
|
|
def timeit_gathen_poly_f20_zassenhaus():
|
|
gf_factor_sqf(f_20, p_20, ZZ, method='zassenhaus')
|
|
|
|
|
|
def timeit_gathen_poly_f20_shoup():
|
|
gf_factor_sqf(f_20, p_20, ZZ, method='shoup')
|
|
|
|
P_08 = genprime(8, ZZ)
|
|
F_10 = shoup_poly(10, P_08, ZZ)
|
|
|
|
P_18 = genprime(18, ZZ)
|
|
F_20 = shoup_poly(20, P_18, ZZ)
|
|
|
|
|
|
def timeit_shoup_poly_F10_zassenhaus():
|
|
gf_factor_sqf(F_10, P_08, ZZ, method='zassenhaus')
|
|
|
|
|
|
def timeit_shoup_poly_F10_shoup():
|
|
gf_factor_sqf(F_10, P_08, ZZ, method='shoup')
|
|
|
|
|
|
def timeit_shoup_poly_F20_zassenhaus():
|
|
gf_factor_sqf(F_20, P_18, ZZ, method='zassenhaus')
|
|
|
|
|
|
def timeit_shoup_poly_F20_shoup():
|
|
gf_factor_sqf(F_20, P_18, ZZ, method='shoup')
|