67 lines
1.5 KiB
Python
67 lines
1.5 KiB
Python
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"""Benchmarks for polynomials over Galois fields. """
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from sympy.polys.galoistools import gf_from_dict, gf_factor_sqf
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from sympy.polys.domains import ZZ
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from sympy.core.numbers import pi
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from sympy.ntheory.generate import nextprime
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def gathen_poly(n, p, K):
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return gf_from_dict({n: K.one, 1: K.one, 0: K.one}, p, K)
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def shoup_poly(n, p, K):
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f = [K.one] * (n + 1)
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for i in range(1, n + 1):
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f[i] = (f[i - 1]**2 + K.one) % p
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return f
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def genprime(n, K):
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return K(nextprime(int((2**n * pi).evalf())))
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p_10 = genprime(10, ZZ)
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f_10 = gathen_poly(10, p_10, ZZ)
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p_20 = genprime(20, ZZ)
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f_20 = gathen_poly(20, p_20, ZZ)
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def timeit_gathen_poly_f10_zassenhaus():
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gf_factor_sqf(f_10, p_10, ZZ, method='zassenhaus')
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def timeit_gathen_poly_f10_shoup():
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gf_factor_sqf(f_10, p_10, ZZ, method='shoup')
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def timeit_gathen_poly_f20_zassenhaus():
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gf_factor_sqf(f_20, p_20, ZZ, method='zassenhaus')
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def timeit_gathen_poly_f20_shoup():
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gf_factor_sqf(f_20, p_20, ZZ, method='shoup')
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P_08 = genprime(8, ZZ)
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F_10 = shoup_poly(10, P_08, ZZ)
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P_18 = genprime(18, ZZ)
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F_20 = shoup_poly(20, P_18, ZZ)
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def timeit_shoup_poly_F10_zassenhaus():
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gf_factor_sqf(F_10, P_08, ZZ, method='zassenhaus')
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def timeit_shoup_poly_F10_shoup():
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gf_factor_sqf(F_10, P_08, ZZ, method='shoup')
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def timeit_shoup_poly_F20_zassenhaus():
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gf_factor_sqf(F_20, P_18, ZZ, method='zassenhaus')
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def timeit_shoup_poly_F20_shoup():
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gf_factor_sqf(F_20, P_18, ZZ, method='shoup')
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