Python fields.field函数代码示例

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

在下文中一共展示了field函数的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_FracElement_mul

def test_FracElement___mul__():
    F, x,y = field("x,y", QQ)

    f, g = 1/x, 1/y
    assert f*g == g*f == 1/(x*y)

    assert x*F.ring.gens[0] == F.ring.gens[0]*x == x**2

    F, x,y = field("x,y", ZZ)
    assert x*3 == 3*x
    assert x*QQ(3,7) == QQ(3,7)*x == 3*x/7

    Fuv, u,v = field("u,v", ZZ);
    Fxyzt, x,y,z,t = field("x,y,z,t", Fuv)

    f = ((u + 1)*x*y + 1)/((v - 1)*z - t*u*v - 1)
    assert dict(f.numer) == {(1, 1, 0, 0): u + 1, (0, 0, 0, 0): 1}
    assert dict(f.denom) == {(0, 0, 1, 0): v - 1, (0, 0, 0, 1): -u*v, (0, 0, 0, 0): -1}

    Ruv, u,v = ring("u,v", ZZ);
    Fxyzt, x,y,z,t = field("x,y,z,t", Ruv)

    f = ((u + 1)*x*y + 1)/((v - 1)*z - t*u*v - 1)
    assert dict(f.numer) == {(1, 1, 0, 0): u + 1, (0, 0, 0, 0): 1}
    assert dict(f.denom) == {(0, 0, 1, 0): v - 1, (0, 0, 0, 1): -u*v, (0, 0, 0, 0): -1}

开发者ID:AALEKH，项目名称:sympy，代码行数:25，代码来源:test_fields.py

示例2: test_FracElement_add

def test_FracElement___add__():
    F, x,y = field("x,y", QQ)

    f, g = 1/x, 1/y
    assert f + g == g + f == (x + y)/(x*y)

    assert x + F.ring.gens[0] == F.ring.gens[0] + x == 2*x

    F, x,y = field("x,y", ZZ)
    assert x + 3 == 3 + x
    assert x + QQ(3,7) == QQ(3,7) + x == (7*x + 3)/7

    Fuv, u,v = field("u,v", ZZ);
    Fxyzt, x,y,z,t = field("x,y,z,t", Fuv)

    f = (u*v + x)/(y + u*v)
    assert dict(f.numer) == {(1, 0, 0, 0): 1, (0, 0, 0, 0): u*v}
    assert dict(f.denom) == {(0, 1, 0, 0): 1, (0, 0, 0, 0): u*v}

    Ruv, u,v = ring("u,v", ZZ);
    Fxyzt, x,y,z,t = field("x,y,z,t", Ruv)

    f = (u*v + x)/(y + u*v)
    assert dict(f.numer) == {(1, 0, 0, 0): 1, (0, 0, 0, 0): u*v}
    assert dict(f.denom) == {(0, 1, 0, 0): 1, (0, 0, 0, 0): u*v}

开发者ID:AALEKH，项目名称:sympy，代码行数:25，代码来源:test_fields.py

示例3: test_FracElement_evaluate

def test_FracElement_evaluate():
    F, x,y,z = field("x,y,z", ZZ)
    Fyz = field("y,z", ZZ)[0]
    f = (x**2 + 3*y)/z

    assert f.evaluate(x, 0) == 3*Fyz.y/Fyz.z
    raises(ZeroDivisionError, lambda: f.evaluate(z, 0))

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

示例4: test_FracElement_sub

def test_FracElement___sub__():
    F, x,y = field("x,y", QQ)

    f, g = 1/x, 1/y
    assert f - g == (-x + y)/(x*y)

    assert x - F.ring.gens[0] == F.ring.gens[0] - x == 0

    F, x,y = field("x,y", ZZ)
    assert x - 3 == -(3 - x)
    assert x - QQ(3,7) == -(QQ(3,7) - x) == (7*x - 3)/7

    Fuv, u,v = field("u,v", ZZ);
    Fxyzt, x,y,z,t = field("x,y,z,t", Fuv)

    f = (u*v - x)/(y - u*v)
    assert dict(f.numer) == {(1, 0, 0, 0):-1, (0, 0, 0, 0): u*v}
    assert dict(f.denom) == {(0, 1, 0, 0): 1, (0, 0, 0, 0):-u*v}

    Ruv, u,v = ring("u,v", ZZ);
    Fxyzt, x,y,z,t = field("x,y,z,t", Ruv)

    f = (u*v - x)/(y - u*v)
    assert dict(f.numer) == {(1, 0, 0, 0):-1, (0, 0, 0, 0): u*v}
    assert dict(f.denom) == {(0, 1, 0, 0): 1, (0, 0, 0, 0):-u*v}

开发者ID:AALEKH，项目名称:sympy，代码行数:25，代码来源:test_fields.py

示例5: test_FracElement_sub

def test_FracElement___sub__():
    F, x,y = field("x,y", QQ)

    f, g = 1/x, 1/y
    assert f - g == (-x + y)/(x*y)

    assert x - F.ring.gens[0] == F.ring.gens[0] - x == 0

    F, x,y = field("x,y", ZZ)
    assert x - 3 == -(3 - x)
    assert x - QQ(3,7) == -(QQ(3,7) - x) == (7*x - 3)/7

开发者ID:Acebulf，项目名称:sympy，代码行数:11，代码来源:test_fields.py

示例6: test_FracElement_add

def test_FracElement___add__():
    F, x,y = field("x,y", QQ)

    f, g = 1/x, 1/y
    assert f + g == g + f == (x + y)/(x*y)

    assert x + F.ring.gens[0] == F.ring.gens[0] + x == 2*x

    F, x,y = field("x,y", ZZ)
    assert x + 3 == 3 + x
    assert x + QQ(3,7) == QQ(3,7) + x == (7*x + 3)/7

开发者ID:Acebulf，项目名称:sympy，代码行数:11，代码来源:test_fields.py

示例7: test_FracElement_div

def test_FracElement___div__():
    F, x,y = field("x,y", QQ)

    f, g = 1/x, 1/y
    assert f/g == y/x

    assert x/F.ring.gens[0] == F.ring.gens[0]/x == 1

    F, x,y = field("x,y", ZZ)
    assert x*3 == 3*x
    assert x/QQ(3,7) == (QQ(3,7)/x)**-1 == 7*x/3

开发者ID:Acebulf，项目名称:sympy，代码行数:11，代码来源:test_fields.py

示例8: test_PolyElement_mul

def test_PolyElement___mul__():
    Rt, t = ring("t", ZZ)
    Ruv, u,v = ring("u,v", ZZ)
    Rxyz, x,y,z = ring("x,y,z", Ruv.to_domain())

    assert dict(u*x) == dict(x*u) == {(1, 0, 0): u}

    assert dict(2*u*x + z) == dict(x*2*u + z) == {(1, 0, 0): 2*u, (0, 0, 1): 1}
    assert dict(u*2*x + z) == dict(2*x*u + z) == {(1, 0, 0): 2*u, (0, 0, 1): 1}
    assert dict(2*u*x + z) == dict(x*2*u + z) == {(1, 0, 0): 2*u, (0, 0, 1): 1}
    assert dict(u*x*2 + z) == dict(x*u*2 + z) == {(1, 0, 0): 2*u, (0, 0, 1): 1}

    assert dict(2*u*x*y + z) == dict(x*y*2*u + z) == {(1, 1, 0): 2*u, (0, 0, 1): 1}
    assert dict(u*2*x*y + z) == dict(2*x*y*u + z) == {(1, 1, 0): 2*u, (0, 0, 1): 1}
    assert dict(2*u*x*y + z) == dict(x*y*2*u + z) == {(1, 1, 0): 2*u, (0, 0, 1): 1}
    assert dict(u*x*y*2 + z) == dict(x*y*u*2 + z) == {(1, 1, 0): 2*u, (0, 0, 1): 1}

    assert dict(2*u*y*x + z) == dict(y*x*2*u + z) == {(1, 1, 0): 2*u, (0, 0, 1): 1}
    assert dict(u*2*y*x + z) == dict(2*y*x*u + z) == {(1, 1, 0): 2*u, (0, 0, 1): 1}
    assert dict(2*u*y*x + z) == dict(y*x*2*u + z) == {(1, 1, 0): 2*u, (0, 0, 1): 1}
    assert dict(u*y*x*2 + z) == dict(y*x*u*2 + z) == {(1, 1, 0): 2*u, (0, 0, 1): 1}

    assert dict(3*u*(x + y) + z) == dict((x + y)*3*u + z) == {(1, 0, 0): 3*u, (0, 1, 0): 3*u, (0, 0, 1): 1}

    raises(TypeError, lambda: t*x + z)
    raises(TypeError, lambda: x*t + z)
    raises(TypeError, lambda: t*u + z)
    raises(TypeError, lambda: u*t + z)

    Fuv, u,v = field("u,v", ZZ)
    Rxyz, x,y,z = ring("x,y,z", Fuv.to_domain())

    assert dict(u*x) == dict(x*u) == {(1, 0, 0): u}

开发者ID:Acebulf，项目名称:sympy，代码行数:33，代码来源:test_rings.py

示例9: test_FracElement_call

def test_FracElement___call__():
    F, x,y,z = field("x,y,z", ZZ)
    f = (x**2 + 3*y)/z

    r = f(1, 1, 1)
    assert r == 4 and not isinstance(r, FracElement)
    raises(ZeroDivisionError, lambda: f(1, 1, 0))

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

示例10: 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11: test_PolyElement_add

def test_PolyElement___add__():
    Rt, t = ring("t", ZZ)
    Ruv, u,v = ring("u,v", ZZ)
    Rxyz, x,y,z = ring("x,y,z", Ruv)

    assert dict(x + 3*y) == {(1, 0, 0): 1, (0, 1, 0): 3}

    assert dict(u + x) == dict(x + u) == {(1, 0, 0): 1, (0, 0, 0): u}
    assert dict(u + x*y) == dict(x*y + u) == {(1, 1, 0): 1, (0, 0, 0): u}
    assert dict(u + x*y + z) == dict(x*y + z + u) == {(1, 1, 0): 1, (0, 0, 1): 1, (0, 0, 0): u}

    assert dict(u*x + x) == dict(x + u*x) == {(1, 0, 0): u + 1}
    assert dict(u*x + x*y) == dict(x*y + u*x) == {(1, 1, 0): 1, (1, 0, 0): u}
    assert dict(u*x + x*y + z) == dict(x*y + z + u*x) == {(1, 1, 0): 1, (0, 0, 1): 1, (1, 0, 0): u}

    raises(TypeError, lambda: t + x)
    raises(TypeError, lambda: x + t)
    raises(TypeError, lambda: t + u)
    raises(TypeError, lambda: u + t)

    Fuv, u,v = field("u,v", ZZ)
    Rxyz, x,y,z = ring("x,y,z", Fuv)

    assert dict(u + x) == dict(x + u) == {(1, 0, 0): 1, (0, 0, 0): u}

    Rxyz, x,y,z = ring("x,y,z", EX)

    assert dict(EX(pi) + x*y*z) == dict(x*y*z + EX(pi)) == {(1, 1, 1): EX(1), (0, 0, 0): EX(pi)}

开发者ID:atreyv，项目名称:sympy，代码行数:28，代码来源:test_rings.py

示例12: test_PolyElement_sub

def test_PolyElement___sub__():
    Rt, t = ring("t", ZZ)
    Ruv, u,v = ring("u,v", ZZ)
    Rxyz, x,y,z = ring("x,y,z", Ruv)

    assert dict(x - 3*y) == {(1, 0, 0): 1, (0, 1, 0): -3}

    assert dict(-u + x) == dict(x - u) == {(1, 0, 0): 1, (0, 0, 0): -u}
    assert dict(-u + x*y) == dict(x*y - u) == {(1, 1, 0): 1, (0, 0, 0): -u}
    assert dict(-u + x*y + z) == dict(x*y + z - u) == {(1, 1, 0): 1, (0, 0, 1): 1, (0, 0, 0): -u}

    assert dict(-u*x + x) == dict(x - u*x) == {(1, 0, 0): -u + 1}
    assert dict(-u*x + x*y) == dict(x*y - u*x) == {(1, 1, 0): 1, (1, 0, 0): -u}
    assert dict(-u*x + x*y + z) == dict(x*y + z - u*x) == {(1, 1, 0): 1, (0, 0, 1): 1, (1, 0, 0): -u}

    raises(TypeError, lambda: t - x)
    raises(TypeError, lambda: x - t)
    raises(TypeError, lambda: t - u)
    raises(TypeError, lambda: u - t)

    Fuv, u,v = field("u,v", ZZ)
    Rxyz, x,y,z = ring("x,y,z", Fuv)

    assert dict(-u + x) == dict(x - u) == {(1, 0, 0): 1, (0, 0, 0): -u}

    Rxyz, x,y,z = ring("x,y,z", EX)

    assert dict(-EX(pi) + x*y*z) == dict(x*y*z - EX(pi)) == {(1, 1, 1): EX(1), (0, 0, 0): -EX(pi)}

开发者ID:atreyv，项目名称:sympy，代码行数:28，代码来源:test_rings.py

示例13: test_FracElement_neg

def test_FracElement___neg__():
    F, x,y = field("x,y", QQ)

    f = (7*x - 9)/y
    g = (-7*x + 9)/y

    assert -f == g
    assert -g == f

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

示例14: test_FracElement_copy

def test_FracElement_copy():
    F, x, y, z = field("x,y,z", ZZ)

    f = x*y/3*z
    g = f.copy()

    assert f == g
    g.numer[(1, 1, 1)] = 7
    assert f != g

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

示例15: test_FractionField_from_PolynomialRing

def test_FractionField_from_PolynomialRing():
    R, x,y = ring("x,y", QQ)
    F, X,Y = field("x,y", ZZ)

    f = 3*x**2 + 5*y**2
    g = x**2/3 + y**2/5

    assert F.to_domain().from_PolynomialRing(f, R.to_domain()) == 3*X**2 + 5*Y**2
    assert F.to_domain().from_PolynomialRing(g, R.to_domain()) == (5*X**2 + 3*Y**2)/15

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

示例16: test_FracElement_pow

def test_FracElement___pow__():
    F, x,y = field("x,y", QQ)

    f, g = 1/x, 1/y

    assert f**3 == 1/x**3
    assert g**3 == 1/y**3

    assert (f*g)**3 == 1/(x**3*y**3)
    assert (f*g)**-3 == (x*y)**3

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

示例17: test_PolyElement_sturm

def test_PolyElement_sturm():
    F, t = field("t", ZZ)
    _, x = ring("x", F)

    f = 1024/(15625*t**8)*x**5 - 4096/(625*t**8)*x**4 + 32/(15625*t**4)*x**3 - 128/(625*t**4)*x**2 + F(1)/62500*x - F(1)/625

    assert f.sturm() == [
        x**3 - 100*x**2 + t**4/64*x - 25*t**4/16,
        3*x**2 - 200*x + t**4/64,
        (-t**4/96 + F(20000)/9)*x + 25*t**4/18,
        (-9*t**12 - 11520000*t**8 - 3686400000000*t**4)/(576*t**8 - 245760000*t**4 + 26214400000000),
    ]

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

示例18: test_FracElement_pow

def test_FracElement___pow__():
    F, x,y = field("x,y", QQ)

    f, g = 1/x, 1/y

    assert f**3 == 1/x**3
    assert g**3 == 1/y**3

    assert (f*g)**3 == 1/(x**3*y**3)
    assert (f*g)**-3 == (x*y)**3

    raises(ZeroDivisionError, lambda: (x - x)**-3)

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

示例19: test_PolynomialRing_from_FractionField

def test_PolynomialRing_from_FractionField():
    F, x,y = field("x,y", ZZ)
    R, X,Y = ring("x,y", ZZ)

    f = (x**2 + y**2)/(x + 1)
    g = (x**2 + y**2)/4
    h =  x**2 + y**2

    assert R.to_domain().from_FractionField(f, F.to_domain()) is None
    assert R.to_domain().from_FractionField(g, F.to_domain()) == X**2/4 + Y**2/4
    assert R.to_domain().from_FractionField(h, F.to_domain()) == X**2 + Y**2

    F, x,y = field("x,y", QQ)
    R, X,Y = ring("x,y", QQ)

    f = (x**2 + y**2)/(x + 1)
    g = (x**2 + y**2)/4
    h =  x**2 + y**2

    assert R.to_domain().from_FractionField(f, F.to_domain()) is None
    assert R.to_domain().from_FractionField(g, F.to_domain()) == X**2/4 + Y**2/4
    assert R.to_domain().from_FractionField(h, F.to_domain()) == X**2 + Y**2

开发者ID:Lenqth，项目名称:sympy，代码行数:22，代码来源:test_domains.py

示例20: test_FracElement__lt_le_gt_ge__

def test_FracElement__lt_le_gt_ge__():
    F, x, y = field("x,y", ZZ)

    assert F(1) < 1/x < 1/x**2 < 1/x**3
    assert F(1) <= 1/x <= 1/x**2 <= 1/x**3

    assert -7/x < 1/x < 3/x < y/x < 1/x**2
    assert -7/x <= 1/x <= 3/x <= y/x <= 1/x**2

    assert 1/x**3 > 1/x**2 > 1/x > F(1)
    assert 1/x**3 >= 1/x**2 >= 1/x >= F(1)

    assert 1/x**2 > y/x > 3/x > 1/x > -7/x
    assert 1/x**2 >= y/x >= 3/x >= 1/x >= -7/x

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

注：本文中的sympy.polys.fields.field函数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 fields.field函数代码示例

示例1: test_FracElement___mul__

示例2: test_FracElement___add__

示例3: test_FracElement_evaluate

示例4: test_FracElement___sub__

示例5: test_FracElement___sub__

示例6: test_FracElement___add__

示例7: test_FracElement___div__

示例8: test_PolyElement___mul__

示例9: test_FracElement___call__

示例10: test_PolyElement_cancel

示例11: test_PolyElement___add__

示例12: test_PolyElement___sub__

示例13: test_FracElement___neg__

示例14: test_FracElement_copy

示例15: test_FractionField_from_PolynomialRing

示例16: test_FracElement___pow__

示例17: test_PolyElement_sturm

示例18: test_FracElement___pow__

示例19: test_PolynomialRing_from_FractionField

示例20: test_FracElement__lt_le_gt_ge__

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示例1: test_FracElement_mul

示例2: test_FracElement_add

示例4: test_FracElement_sub

示例5: test_FracElement_sub

示例6: test_FracElement_add

示例7: test_FracElement_div

示例8: test_PolyElement_mul

示例9: test_FracElement_call

示例11: test_PolyElement_add

示例12: test_PolyElement_sub

示例13: test_FracElement_neg

示例16: test_FracElement_pow

示例18: test_FracElement_pow