예제 #1
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def test_modified_subresultants_sylv():
    x = var('x')

    p = x**8 + x**6 - 3*x**4 - 3*x**3 + 8*x**2 + 2*x - 5
    q = 3*x**6 + 5*x**4 - 4*x**2 - 9*x + 21
    amv_factors = [1, 1, -1, 1, -1, 1]
    assert modified_subresultants_sylv(p, q, x) == [i*j for i, j in zip(amv_factors, subresultants_amv(p, q, x))]
    assert modified_subresultants_sylv(p, q, x)[-1] != res_q(p + x**8, q, x)
    assert modified_subresultants_sylv(p, q, x) != sturm_amv(p, q, x)

    p = x**3 - 7*x + 7
    q = 3*x**2 - 7
    assert modified_subresultants_sylv(p, q, x) == sturm_amv(p, q, x)
    assert modified_subresultants_sylv(-p, q, x) != sturm_amv(-p, q, x)
예제 #2
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def test_modified_subresultants_sylv():
    x = var('x')

    p = x**8 + x**6 - 3*x**4 - 3*x**3 + 8*x**2 + 2*x - 5
    q = 3*x**6 + 5*x**4 - 4*x**2 - 9*x + 21
    amv_factors = [1, 1, -1, 1, -1, 1]
    assert modified_subresultants_sylv(p, q, x) == [i*j for i, j in zip(amv_factors, subresultants_amv(p, q, x))]
    assert modified_subresultants_sylv(p, q, x)[-1] != res_q(p + x**8, q, x)
    assert modified_subresultants_sylv(p, q, x) != sturm_amv(p, q, x)

    p = x**3 - 7*x + 7
    q = 3*x**2 - 7
    assert modified_subresultants_sylv(p, q, x) == sturm_amv(p, q, x)
    assert modified_subresultants_sylv(-p, q, x) != sturm_amv(-p, q, x)
예제 #3
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def test_res_z():
    x = var('x')

    assert res_z(3, 5, x) == 1
    assert res(3, 5, x) == res_q(3, 5, x) == res_z(3, 5, x)
예제 #4
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def test_res_q():
    x = var('x')

    assert res_q(3, 5, x) == 1
def test_res_z():
    x = var('x')

    assert res_z(3, 5, x) == 1
    assert res(3, 5, x) == res_q(3, 5, x) == res_z(3, 5, x)
def test_res_q():
    x = var('x')

    assert res_q(3, 5, x) == 1
예제 #7
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def test_res_q():
    x = var("x")

    assert res_q(3, 5, x) == 1