26 lines
803 B
Python
26 lines
803 B
Python
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"""Benchmark of the Groebner bases algorithms. """
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from sympy.polys.rings import ring
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from sympy.polys.domains import QQ
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from sympy.polys.groebnertools import groebner
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R, x1, x2, x3, x4, x5, x6, x7, x8, x9, x10, x11, x12 = ring("x1:13", QQ)
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V = R.gens
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E = [(x1, x2), (x2, x3), (x1, x4), (x1, x6), (x1, x12), (x2, x5), (x2, x7), (x3, x8),
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(x3, x10), (x4, x11), (x4, x9), (x5, x6), (x6, x7), (x7, x8), (x8, x9), (x9, x10),
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(x10, x11), (x11, x12), (x5, x12), (x5, x9), (x6, x10), (x7, x11), (x8, x12)]
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F3 = [ x**3 - 1 for x in V ]
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Fg = [ x**2 + x*y + y**2 for x, y in E ]
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F_1 = F3 + Fg
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F_2 = F3 + Fg + [x3**2 + x3*x4 + x4**2]
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def time_vertex_color_12_vertices_23_edges():
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assert groebner(F_1, R) != [1]
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def time_vertex_color_12_vertices_24_edges():
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assert groebner(F_2, R) == [1]
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