Python domains.QQ类代码示例

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本文整理汇总了Python中sympy.polys.domains.QQ类的典型用法代码示例。如果您正苦于以下问题：Python QQ类的具体用法？Python QQ怎么用？Python QQ使用的例子？那么恭喜您, 这里精选的类代码示例或许可以为您提供帮助。

在下文中一共展示了QQ类的20个代码示例，这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞，您的评价将有助于我们的系统推荐出更棒的Python代码示例。

示例1: test_conversion

def test_conversion():
    L = QQ.old_poly_ring(x, y, order="ilex")
    G = QQ.old_poly_ring(x, y)

    assert L.convert(x) == L.convert(G.convert(x), G)
    assert G.convert(x) == G.convert(L.convert(x), L)
    raises(CoercionFailed, lambda: G.convert(L.convert(1/(1 + x)), L))

开发者ID:AALEKH，项目名称:sympy，代码行数:7，代码来源:test_polynomialring.py

示例2: test_globalring

def test_globalring():
    Qxy = QQ.old_frac_field(x, y)
    R = QQ.old_poly_ring(x, y)
    X = R.convert(x)
    Y = R.convert(y)

    assert x in R
    assert 1/x not in R
    assert 1/(1 + x) not in R
    assert Y in R
    assert X.ring == R
    assert X * (Y**2 + 1) == R.convert(x * (y**2 + 1))
    assert X * y == X * Y == R.convert(x * y) == x * Y
    assert X + y == X + Y == R.convert(x + y) == x + Y
    assert X - y == X - Y == R.convert(x - y) == x - Y
    assert X + 1 == R.convert(x + 1)
    raises(ExactQuotientFailed, lambda: X/Y)
    raises(ExactQuotientFailed, lambda: x/Y)
    raises(ExactQuotientFailed, lambda: X/y)
    assert X**2 / X == X

    assert R.from_GlobalPolynomialRing(ZZ.old_poly_ring(x, y).convert(x), ZZ.old_poly_ring(x, y)) == X
    assert R.from_FractionField(Qxy.convert(x), Qxy) == X
    assert R.from_FractionField(Qxy.convert(x)/y, Qxy) is None

    assert R._sdm_to_vector(R._vector_to_sdm([X, Y], R.order), 2) == [X, Y]

开发者ID:AALEKH，项目名称:sympy，代码行数:26，代码来源:test_polynomialring.py

示例3: test_PolyElement_cancel

def test_PolyElement_cancel():
    R, x, y = ring("x,y", ZZ)

    f = 2*x**3 + 4*x**2 + 2*x
    g = 3*x**2 + 3*x
    F = 2*x + 2
    G = 3

    assert f.cancel(g) == (F, G)

    assert (-f).cancel(g) == (-F, G)
    assert f.cancel(-g) == (-F, G)

    R, x, y = ring("x,y", QQ)

    f = QQ(1,2)*x**3 + x**2 + QQ(1,2)*x
    g = QQ(1,3)*x**2 + QQ(1,3)*x
    F = 3*x + 3
    G = 2

    assert f.cancel(g) == (F, G)

    assert (-f).cancel(g) == (-F, G)
    assert f.cancel(-g) == (-F, G)

    Fx, x = field("x", ZZ)
    Rt, t = ring("t", Fx)

    f = (-x**2 - 4)/4*t
    g = t**2 + (x**2 + 2)/2

    assert f.cancel(g) == ((-x**2 - 4)*t, 4*t**2 + 2*x**2 + 4)

开发者ID:atreyv，项目名称:sympy，代码行数:32，代码来源:test_rings.py

示例4: test_Domain_get_ring

def test_Domain_get_ring():
    assert ZZ.has_assoc_Ring is True
    assert QQ.has_assoc_Ring is True
    assert ZZ[x].has_assoc_Ring is True
    assert QQ[x].has_assoc_Ring is True
    assert ZZ[x, y].has_assoc_Ring is True
    assert QQ[x, y].has_assoc_Ring is True
    assert ZZ.frac_field(x).has_assoc_Ring is True
    assert QQ.frac_field(x).has_assoc_Ring is True
    assert ZZ.frac_field(x, y).has_assoc_Ring is True
    assert QQ.frac_field(x, y).has_assoc_Ring is True

    assert EX.has_assoc_Ring is False
    assert RR.has_assoc_Ring is False
    assert ALG.has_assoc_Ring is False

    assert ZZ.get_ring() == ZZ
    assert QQ.get_ring() == ZZ
    assert ZZ[x].get_ring() == ZZ[x]
    assert QQ[x].get_ring() == QQ[x]
    assert ZZ[x, y].get_ring() == ZZ[x, y]
    assert QQ[x, y].get_ring() == QQ[x, y]
    assert ZZ.frac_field(x).get_ring() == ZZ[x]
    assert QQ.frac_field(x).get_ring() == QQ[x]
    assert ZZ.frac_field(x, y).get_ring() == ZZ[x, y]
    assert QQ.frac_field(x, y).get_ring() == QQ[x, y]

    assert EX.get_ring() == EX

    raises(DomainError, lambda: RR.get_ring())
    raises(DomainError, lambda: ALG.get_ring())

开发者ID:JustinL42，项目名称:sympy，代码行数:31，代码来源:test_domains.py

示例5: test_PolyElement_gcd

def test_PolyElement_gcd():
    R, x, y = ring("x,y", QQ)

    f = QQ(1,2)*x**2 + x + QQ(1,2)
    g = QQ(1,2)*x + QQ(1,2)

    assert f.gcd(g) == x + 1

开发者ID:atreyv，项目名称:sympy，代码行数:7，代码来源:test_rings.py

示例6: test_Domain_get_ring

def test_Domain_get_ring():
    assert ZZ.has_assoc_Ring is True
    assert QQ.has_assoc_Ring is True
    assert ZZ[x].has_assoc_Ring is True
    assert QQ[x].has_assoc_Ring is True
    assert ZZ[x, y].has_assoc_Ring is True
    assert QQ[x, y].has_assoc_Ring is True
    assert ZZ.frac_field(x).has_assoc_Ring is True
    assert QQ.frac_field(x).has_assoc_Ring is True
    assert ZZ.frac_field(x, y).has_assoc_Ring is True
    assert QQ.frac_field(x, y).has_assoc_Ring is True

    assert EX.has_assoc_Ring is False
    assert RR.has_assoc_Ring is False
    assert ALG.has_assoc_Ring is False

    assert ZZ.get_ring() == ZZ
    assert QQ.get_ring() == ZZ
    assert ZZ[x].get_ring() == ZZ[x]
    assert QQ[x].get_ring() == QQ[x]
    assert ZZ[x, y].get_ring() == ZZ[x, y]
    assert QQ[x, y].get_ring() == QQ[x, y]
    assert ZZ.frac_field(x).get_ring() == ZZ[x]
    assert QQ.frac_field(x).get_ring() == QQ[x]
    assert ZZ.frac_field(x, y).get_ring() == ZZ[x, y]
    assert QQ.frac_field(x, y).get_ring() == QQ[x, y]

    assert EX.get_ring() == EX

    assert RR.get_ring() == RR
    # XXX: This should also be like RR
    raises(DomainError, lambda: ALG.get_ring())

开发者ID:Lenqth，项目名称:sympy，代码行数:32，代码来源:test_domains.py

示例7: test_Domain_get_ring

def test_Domain_get_ring():
    assert ZZ.has_assoc_Ring == True
    assert QQ.has_assoc_Ring == True
    assert ZZ[x].has_assoc_Ring == True
    assert QQ[x].has_assoc_Ring == True
    assert ZZ[x,y].has_assoc_Ring == True
    assert QQ[x,y].has_assoc_Ring == True
    assert ZZ.frac_field(x).has_assoc_Ring == True
    assert QQ.frac_field(x).has_assoc_Ring == True
    assert ZZ.frac_field(x,y).has_assoc_Ring == True
    assert QQ.frac_field(x,y).has_assoc_Ring == True

    assert EX.has_assoc_Ring == False
    assert RR.has_assoc_Ring == False
    assert ALG.has_assoc_Ring == False

    assert ZZ.get_ring() == ZZ
    assert QQ.get_ring() == ZZ
    assert ZZ[x].get_ring() == ZZ[x]
    assert QQ[x].get_ring() == QQ[x]
    assert ZZ[x,y].get_ring() == ZZ[x,y]
    assert QQ[x,y].get_ring() == QQ[x,y]
    assert ZZ.frac_field(x).get_ring() == ZZ[x]
    assert QQ.frac_field(x).get_ring() == QQ[x]
    assert ZZ.frac_field(x,y).get_ring() == ZZ[x,y]
    assert QQ.frac_field(x,y).get_ring() == QQ[x,y]

    raises(DomainError, "EX.get_ring()")
    raises(DomainError, "RR.get_ring()")
    raises(DomainError, "ALG.get_ring()")

开发者ID:Jerryy，项目名称:sympy，代码行数:30，代码来源:test_domains.py

示例8: test_localring

def test_localring():
    Qxy = QQ.frac_field(x, y)
    R   = QQ.poly_ring(x, y, order="ilex")
    X = R.convert(x)
    Y = R.convert(y)

    assert x in R
    assert 1/x not in R
    assert 1/(1 + x) in R
    assert Y in R
    assert X.ring == R
    assert X*(Y**2+1)/(1 + X) == R.convert(x*(y**2 + 1)/(1 + x))
    assert X*y == X*Y
    raises(ExactQuotientFailed, lambda: X/Y)
    raises(ExactQuotientFailed, lambda: x/Y)
    raises(ExactQuotientFailed, lambda: X/y)
    assert X + y == X + Y == R.convert(x + y) == x + Y
    assert X - y == X - Y == R.convert(x - y) == x - Y
    assert X + 1 == R.convert(x + 1)
    assert X**2 / X == X

    assert R.from_GlobalPolynomialRing(ZZ[x, y].convert(x), ZZ[x, y]) == X
    assert R.from_FractionField(Qxy.convert(x), Qxy) == X
    raises(CoercionFailed, lambda: R.from_FractionField(Qxy.convert(x)/y, Qxy))
    raises(ExactQuotientFailed, lambda: X/Y)
    raises(NotReversible, lambda: X.invert())

    assert R._sdm_to_vector(R._vector_to_sdm([X/(X + 1), Y/(1 + X*Y)], R.order),
                                             2) == \
        [X*(1 + X*Y), Y*(1 + X)]

开发者ID:StefenYin，项目名称:sympy，代码行数:30，代码来源:test_polynomialring.py

示例9: test_PolyElement_diff

def test_PolyElement_diff():
    R, X = xring("x:11", QQ)

    f = QQ(288,5)*X[0]**8*X[1]**6*X[4]**3*X[10]**2 + 8*X[0]**2*X[2]**3*X[4]**3 +2*X[0]**2 - 2*X[1]**2

    assert f.diff(X[0]) == QQ(2304,5)*X[0]**7*X[1]**6*X[4]**3*X[10]**2 + 16*X[0]*X[2]**3*X[4]**3 + 4*X[0]
    assert f.diff(X[4]) == QQ(864,5)*X[0]**8*X[1]**6*X[4]**2*X[10]**2 + 24*X[0]**2*X[2]**3*X[4]**2
    assert f.diff(X[10]) == QQ(576,5)*X[0]**8*X[1]**6*X[4]**3*X[10]

开发者ID:atreyv，项目名称:sympy，代码行数:8，代码来源:test_rings.py

示例10: test_dup_euclidean_prs

def test_dup_euclidean_prs():
    f = QQ.map([1, 0, 1, 0, -3, -3, 8, 2, -5])
    g = QQ.map([3, 0, 5, 0, -4, -9, 21])

    assert dup_euclidean_prs(f, g, QQ) == [f, g,
        [-QQ(5,9), QQ(0,1), QQ(1,9), QQ(0,1), -QQ(1,3)],
        [-QQ(117,25), -QQ(9,1), QQ(441,25)],
        [QQ(233150,19773), -QQ(102500,6591)],
        [-QQ(1288744821,543589225)]]

开发者ID:addisonc，项目名称:sympy，代码行数:9，代码来源:test_euclidtools.py

示例11: test_minpoly_domain

def test_minpoly_domain():
    assert minimal_polynomial(sqrt(2), x, domain=QQ.algebraic_field(sqrt(2))) == \
        x - sqrt(2)
    assert minimal_polynomial(sqrt(8), x, domain=QQ.algebraic_field(sqrt(2))) == \
        x - 2*sqrt(2)
    assert minimal_polynomial(sqrt(Rational(3,2)), x,
        domain=QQ.algebraic_field(sqrt(2))) == 2*x**2 - 3

    raises(NotAlgebraic, lambda: minimal_polynomial(y, x, domain=QQ))

开发者ID:A-turing-machine，项目名称:sympy，代码行数:9，代码来源:test_numberfields.py

示例12: test_PolyElement_sqf_norm

def test_PolyElement_sqf_norm():
    R, x = ring("x", QQ.algebraic_field(sqrt(3)))
    X = R.to_ground().x

    assert (x**2 - 2).sqf_norm() == (1, x**2 - 2*sqrt(3)*x + 1, X**4 - 10*X**2 + 1)

    R, x = ring("x", QQ.algebraic_field(sqrt(2)))
    X = R.to_ground().x

    assert (x**2 - 3).sqf_norm() == (1, x**2 - 2*sqrt(2)*x - 1, X**4 - 10*X**2 + 1)

开发者ID:atreyv，项目名称:sympy，代码行数:10，代码来源:test_rings.py

示例13: test_Domain_eq

def test_Domain___eq__():
    assert (ZZ[x,y] == ZZ[x,y]) == True
    assert (QQ[x,y] == QQ[x,y]) == True

    assert (ZZ[x,y] == QQ[x,y]) == False
    assert (QQ[x,y] == ZZ[x,y]) == False

    assert (ZZ.frac_field(x,y) == ZZ.frac_field(x,y)) == True
    assert (QQ.frac_field(x,y) == QQ.frac_field(x,y)) == True

    assert (ZZ.frac_field(x,y) == QQ.frac_field(x,y)) == False
    assert (QQ.frac_field(x,y) == ZZ.frac_field(x,y)) == False

开发者ID:Jerryy，项目名称:sympy，代码行数:12，代码来源:test_domains.py

示例14: test_Domain_get_exact

def test_Domain_get_exact():
    assert EX.get_exact() == EX
    assert ZZ.get_exact() == ZZ
    assert QQ.get_exact() == QQ
    assert RR.get_exact() == QQ
    assert ALG.get_exact() == ALG
    assert ZZ[x].get_exact() == ZZ[x]
    assert QQ[x].get_exact() == QQ[x]
    assert ZZ[x,y].get_exact() == ZZ[x,y]
    assert QQ[x,y].get_exact() == QQ[x,y]
    assert ZZ.frac_field(x).get_exact() == ZZ.frac_field(x)
    assert QQ.frac_field(x).get_exact() == QQ.frac_field(x)
    assert ZZ.frac_field(x,y).get_exact() == ZZ.frac_field(x,y)
    assert QQ.frac_field(x,y).get_exact() == QQ.frac_field(x,y)

开发者ID:Jerryy，项目名称:sympy，代码行数:14，代码来源:test_domains.py

示例15: test_Domain_eq

def test_Domain___eq__():
    assert (ZZ[x, y] == ZZ[x, y]) is True
    assert (QQ[x, y] == QQ[x, y]) is True

    assert (ZZ[x, y] == QQ[x, y]) is False
    assert (QQ[x, y] == ZZ[x, y]) is False

    assert (ZZ.frac_field(x, y) == ZZ.frac_field(x, y)) is True
    assert (QQ.frac_field(x, y) == QQ.frac_field(x, y)) is True

    assert (ZZ.frac_field(x, y) == QQ.frac_field(x, y)) is False
    assert (QQ.frac_field(x, y) == ZZ.frac_field(x, y)) is False

    assert RealField()[x] == RR[x]

开发者ID:Lenqth，项目名称:sympy，代码行数:14，代码来源:test_domains.py

示例16: test_dmp_lift

def test_dmp_lift():
    q = [QQ(1, 1), QQ(0, 1), QQ(1, 1)]

    f = [
        ANP([QQ(1, 1)], q, QQ),
        ANP([], q, QQ),
        ANP([], q, QQ),
        ANP([QQ(1, 1), QQ(0, 1)], q, QQ),
        ANP([QQ(17, 1), QQ(0, 1)], q, QQ),
    ]

    assert dmp_lift(f, 0, QQ.algebraic_field(I)) == [
        QQ(1),
        QQ(0),
        QQ(0),
        QQ(0),
        QQ(0),
        QQ(0),
        QQ(2),
        QQ(0),
        QQ(578),
        QQ(0),
        QQ(0),
        QQ(0),
        QQ(1),
        QQ(0),
        QQ(-578),
        QQ(0),
        QQ(83521),
    ]

    raises(DomainError, "dmp_lift([EX(1), EX(2)], 0, EX)")

开发者ID:hitej，项目名称:meta-core，代码行数:32，代码来源:test_densetools.py

示例17: test_dmp_ext_factor

def test_dmp_ext_factor():
    h = [QQ(1),QQ(0),QQ(-2)]
    K = QQ.algebraic_field(sqrt(2))

    assert dmp_ext_factor([], 0, K) == (ANP([], h, QQ), [])
    assert dmp_ext_factor([[]], 1, K) == (ANP([], h, QQ), [])

    f = [[ANP([QQ(1)], h, QQ)], [ANP([QQ(1)], h, QQ)]]

    assert dmp_ext_factor(f, 1, K) == (ANP([QQ(1)], h, QQ), [(f, 1)])

    g = [[ANP([QQ(2)], h, QQ)], [ANP([QQ(2)], h, QQ)]]

    assert dmp_ext_factor(g, 1, K) == (ANP([QQ(2)], h, QQ), [(f, 1)])

    f = [[ANP([QQ(1)], h, QQ)], [], [ANP([QQ(-2)], h, QQ), ANP([], h, QQ), ANP([], h, QQ)]]

    assert dmp_ext_factor(f, 1, K) == \
        (ANP([QQ(1)], h, QQ), [
            ([[ANP([QQ(1)], h, QQ)], [ANP([QQ(-1),QQ(0)], h, QQ), ANP([], h, QQ)]], 1),
            ([[ANP([QQ(1)], h, QQ)], [ANP([QQ( 1),QQ(0)], h, QQ), ANP([], h, QQ)]], 1),
        ])

    f = [[ANP([QQ(2)], h, QQ)], [], [ANP([QQ(-4)], h, QQ), ANP([], h, QQ), ANP([], h, QQ)]]

    assert dmp_ext_factor(f, 1, K) == \
        (ANP([QQ(2)], h, QQ), [
            ([[ANP([QQ(1)], h, QQ)], [ANP([QQ(-1),QQ(0)], h, QQ), ANP([], h, QQ)]], 1),
            ([[ANP([QQ(1)], h, QQ)], [ANP([QQ( 1),QQ(0)], h, QQ), ANP([], h, QQ)]], 1),
        ])

开发者ID:ENuge，项目名称:sympy，代码行数:30，代码来源:test_factortools.py

示例18: test_sring

def test_sring():
    x, y, z, t = symbols("x,y,z,t")

    R = PolyRing("x,y,z", ZZ, lex)
    assert sring(x + 2*y + 3*z) == (R, R.x + 2*R.y + 3*R.z)

    R = PolyRing("x,y,z", QQ, lex)
    assert sring(x + 2*y + z/3) == (R, R.x + 2*R.y + R.z/3)
    assert sring([x, 2*y, z/3]) == (R, [R.x, 2*R.y, R.z/3])

    Rt = PolyRing("t", ZZ, lex)
    R = PolyRing("x,y,z", Rt, lex)
    assert sring(x + 2*t*y + 3*t**2*z, x, y, z) == (R, R.x + 2*Rt.t*R.y + 3*Rt.t**2*R.z)

    Rt = PolyRing("t", QQ, lex)
    R = PolyRing("x,y,z", Rt, lex)
    assert sring(x + t*y/2 + t**2*z/3, x, y, z) == (R, R.x + Rt.t*R.y/2 + Rt.t**2*R.z/3)

    Rt = FracField("t", ZZ, lex)
    R = PolyRing("x,y,z", Rt, lex)
    assert sring(x + 2*y/t + t**2*z/3, x, y, z) == (R, R.x + 2*R.y/Rt.t + Rt.t**2*R.z/3)

    r = sqrt(2) - sqrt(3)
    R, a = sring(r, extension=True)
    assert R.domain == QQ.algebraic_field(r)
    assert R.gens == ()
    assert a == R.domain.from_sympy(r)

开发者ID:KonstantinTogoi，项目名称:sympy，代码行数:27，代码来源:test_rings.py

示例19: test_QuotientRing

def test_QuotientRing():
    from sympy.polys.domains import QQ
    R = QQ.old_poly_ring(x)/[x**2 + 1]

    assert latex(
        R) == r"\frac{\mathbb{Q}\left[x\right]}{\left< {x^{2} + 1} \right>}"
    assert latex(R.one) == r"{1} + {\left< {x^{2} + 1} \right>}"

开发者ID:intermezzo-fr，项目名称:sympy，代码行数:7，代码来源:test_latex.py

示例20: test_dmp_ext_factor

def test_dmp_ext_factor():
    R, x,y = ring("x,y", QQ.algebraic_field(sqrt(2)))
    def anp(x):
        return ANP(x, [QQ(1), QQ(0), QQ(-2)], QQ)

    assert R.dmp_ext_factor(0) == (anp([]), [])

    f = anp([QQ(1)])*x + anp([QQ(1)])

    assert R.dmp_ext_factor(f) == (anp([QQ(1)]), [(f, 1)])

    g = anp([QQ(2)])*x + anp([QQ(2)])

    assert R.dmp_ext_factor(g) == (anp([QQ(2)]), [(f, 1)])

    f = anp([QQ(1)])*x**2 + anp([QQ(-2)])*y**2

    assert R.dmp_ext_factor(f) == \
        (anp([QQ(1)]), [(anp([QQ(1)])*x + anp([QQ(-1), QQ(0)])*y, 1),
                        (anp([QQ(1)])*x + anp([QQ( 1), QQ(0)])*y, 1)])

    f = anp([QQ(2)])*x**2 + anp([QQ(-4)])*y**2

    assert R.dmp_ext_factor(f) == \
        (anp([QQ(2)]), [(anp([QQ(1)])*x + anp([QQ(-1), QQ(0)])*y, 1),
                        (anp([QQ(1)])*x + anp([QQ( 1), QQ(0)])*y, 1)])

开发者ID:B-Rich，项目名称:sympy，代码行数:26，代码来源:test_factortools.py

注：本文中的sympy.polys.domains.QQ类示例由纯净天空整理自Github/MSDocs等源码及文档管理平台，相关代码片段筛选自各路编程大神贡献的开源项目，源码版权归原作者所有，传播和使用请参考对应项目的License；未经允许，请勿转载。

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Python domains.RR类代码示例发布时间：2022-05-27

Python domains.EX类代码示例发布时间：2022-05-27

Python util.grid_equal函数代码示例

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Python domains.QQ类代码示例

示例1: test_conversion

示例2: test_globalring

示例3: test_PolyElement_cancel

示例4: test_Domain_get_ring

示例5: test_PolyElement_gcd

示例6: test_Domain_get_ring

示例7: test_Domain_get_ring

示例8: test_localring

示例9: test_PolyElement_diff

示例10: test_dup_euclidean_prs

示例11: test_minpoly_domain

示例12: test_PolyElement_sqf_norm

示例13: test_Domain___eq__

示例14: test_Domain_get_exact

示例15: test_Domain___eq__

示例16: test_dmp_lift

示例17: test_dmp_ext_factor

示例18: test_sring

示例19: test_QuotientRing

示例20: test_dmp_ext_factor

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示例13: test_Domain_eq

示例15: test_Domain_eq