Python sympy.Subs类代码示例

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本文整理汇总了Python中sympy.Subs类的典型用法代码示例。如果您正苦于以下问题：Python Subs类的具体用法？Python Subs怎么用？Python Subs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Subs类的8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_issue_12005

def test_issue_12005():
    e1 = Subs(Derivative(f(x), x), x, x)
    assert e1.diff(x) == Derivative(f(x), x, x)
    e2 = Subs(Derivative(f(x), x), x, x**2 + 1)
    assert e2.diff(x) == 2*x*Subs(Derivative(f(x), x, x), x, x**2 + 1)
    e3 = Subs(Derivative(f(x) + y**2 - y, y), y, y**2)
    assert e3.diff(y) == 4*y
    e4 = Subs(Derivative(f(x + y), y), y, (x**2))
    assert e4.diff(y) == S.Zero
    e5 = Subs(Derivative(f(x), x), (y, z), (y, z))
    assert e5.diff(x) == Derivative(f(x), x, x)
    assert f(g(x)).diff(g(x), g(x)) == Derivative(f(g(x)), g(x), g(x))

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

示例2: test_Subs_subs

def test_Subs_subs():
    assert Subs(x*y, x, x).subs(x, y) == Subs(x*y, x, y)
    assert Subs(x*y, x, x + 1).subs(x, y) == \
        Subs(x*y, x, y + 1)
    assert Subs(x*y, y, x + 1).subs(x, y) == \
        Subs(y**2, y, y + 1)
    a = Subs(x*y*z, (y, x, z), (x + 1, x + z, x))
    b = Subs(x*y*z, (y, x, z), (x + 1, y + z, y))
    assert a.subs(x, y) == b and \
        a.doit().subs(x, y) == a.subs(x, y).doit()
    f = Function('f')
    g = Function('g')
    assert Subs(2*f(x, y) + g(x), f(x, y), 1).subs(y, 2) == Subs(
        2*f(x, y) + g(x), (f(x, y), y), (1, 2))

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

示例3: test_Subs

def test_Subs():
    assert Subs(x, x, 0) == Subs(y, y, 0)
    assert Subs(x, x, 0).subs(x, 1) == Subs(x, x, 0)
    assert Subs(y, x, 0).subs(y, 1) == Subs(1, x, 0)
    assert Subs(f(x), x, 0).doit() == f(0)
    assert Subs(f(x**2), x**2, 0).doit() == f(0)
    assert Subs(f(x, y, z), (x, y, z), (0, 1, 1)) != \
        Subs(f(x, y, z), (x, y, z), (0, 0, 1))
    assert Subs(f(x, y), (x, y, z), (0, 1, 1)) == \
        Subs(f(x, y), (x, y, z), (0, 1, 2))
    assert Subs(f(x, y), (x, y, z), (0, 1, 1)) != \
        Subs(f(x, y) + z, (x, y, z), (0, 1, 0))
    assert Subs(f(x, y), (x, y), (0, 1)).doit() == f(0, 1)
    assert Subs(Subs(f(x, y), x, 0), y, 1).doit() == f(0, 1)
    raises(ValueError, lambda: Subs(f(x, y), (x, y), (0, 0, 1)))
    raises(ValueError, lambda: Subs(f(x, y), (x, x, y), (0, 0, 1)))

    assert len(Subs(f(x, y), (x, y), (0, 1)).variables) == 2
    assert Subs(f(x, y), (x, y), (0, 1)).point == Tuple(0, 1)

    assert Subs(f(x), x, 0) == Subs(f(y), y, 0)
    assert Subs(f(x, y), (x, y), (0, 1)) == Subs(f(x, y), (y, x), (1, 0))
    assert Subs(f(x)*y, (x, y), (0, 1)) == Subs(f(y)*x, (y, x), (0, 1))
    assert Subs(f(x)*y, (x, y), (1, 1)) == Subs(f(y)*x, (x, y), (1, 1))

    assert Subs(f(x), x, 0).subs(x, 1).doit() == f(0)
    assert Subs(f(x), x, y).subs(y, 0) == Subs(f(x), x, 0)
    assert Subs(y*f(x), x, y).subs(y, 2) == Subs(2*f(x), x, 2)
    assert (2 * Subs(f(x), x, 0)).subs(Subs(f(x), x, 0), y) == 2*y

    assert Subs(f(x), x, 0).free_symbols == set([])
    assert Subs(f(x, y), x, z).free_symbols == {y, z}

    assert Subs(f(x).diff(x), x, 0).doit(), Subs(f(x).diff(x), x, 0)
    assert Subs(1 + f(x).diff(x), x, 0).doit(), 1 + Subs(f(x).diff(x), x, 0)
    assert Subs(y*f(x, y).diff(x), (x, y), (0, 2)).doit() == \
        2*Subs(Derivative(f(x, 2), x), x, 0)
    assert Subs(y**2*f(x), x, 0).diff(y) == 2*y*f(0)

    e = Subs(y**2*f(x), x, y)
    assert e.diff(y) == e.doit().diff(y) == y**2*Derivative(f(y), y) + 2*y*f(y)

    assert Subs(f(x), x, 0) + Subs(f(x), x, 0) == 2*Subs(f(x), x, 0)
    e1 = Subs(z*f(x), x, 1)
    e2 = Subs(z*f(y), y, 1)
    assert e1 + e2 == 2*e1
    assert e1.__hash__() == e2.__hash__()
    assert Subs(z*f(x + 1), x, 1) not in [ e1, e2 ]
    assert Derivative(f(x), x).subs(x, g(x)) == Derivative(f(g(x)), g(x))
    assert Derivative(f(x), x).subs(x, x + y) == Subs(Derivative(f(x), x),
        (x,), (x + y))
    assert Subs(f(x)*cos(y) + z, (x, y), (0, pi/3)).n(2) == \
        Subs(f(x)*cos(y) + z, (x, y), (0, pi/3)).evalf(2) == \
        z + Rational('1/2').n(2)*f(0)

    assert f(x).diff(x).subs(x, 0).subs(x, y) == f(x).diff(x).subs(x, 0)
    assert (x*f(x).diff(x).subs(x, 0)).subs(x, y) == y*f(x).diff(x).subs(x, 0)

开发者ID:normalhuman，项目名称:sympy，代码行数:57，代码来源:test_function.py

示例4: test_series_of_Subs

def test_series_of_Subs():
    from sympy.abc import x, y, z

    subs1 = Subs(sin(x), x, y)
    subs2 = Subs(sin(x) * cos(z), x, y)
    subs3 = Subs(sin(x * z), (x, z), (y, x))

    assert subs1.series(x) == subs1
    assert subs1.series(y) == Subs(x, x, y) + Subs(-x**3/6, x, y) + Subs(x**5/120, x, y) + O(y**6)
    assert subs1.series(z) == subs1
    assert subs2.series(z) == Subs(z**4*sin(x)/24, x, y) + Subs(-z**2*sin(x)/2, x, y) + Subs(sin(x), x, y) + O(z**6)
    assert subs3.series(x).doit() == subs3.doit().series(x)
    assert subs3.series(z).doit() == sin(x*y)

开发者ID:Lenqth，项目名称:sympy，代码行数:13，代码来源:test_series.py

示例5: test_series_of_Subs

def test_series_of_Subs():
    from sympy.abc import x, y, z

    subs1 = Subs(sin(x), x, y)
    subs2 = Subs(sin(x) * cos(z), x, y)
    subs3 = Subs(sin(x * z), (x, z), (y, x))

    assert subs1.series(x) == subs1
    subs1_series = (Subs(x, x, y) + Subs(-x**3/6, x, y) +
        Subs(x**5/120, x, y) + O(y**6))
    assert subs1.series() == subs1_series
    assert subs1.series(y) == subs1_series
    assert subs1.series(z) == subs1
    assert subs2.series(z) == (Subs(z**4*sin(x)/24, x, y) +
        Subs(-z**2*sin(x)/2, x, y) + Subs(sin(x), x, y) + O(z**6))
    assert subs3.series(x).doit() == subs3.doit().series(x)
    assert subs3.series(z).doit() == sin(x*y)

    raises(ValueError, lambda: Subs(x + 2*y, y, z).series())
    assert Subs(x + y, y, z).series(x).doit() == x + z

开发者ID:asmeurer，项目名称:sympy，代码行数:20，代码来源:test_series.py

示例6: test_Subs

def test_Subs():
    x = Symbol('x')
    y = Symbol('y')
    z = Symbol('z')
    f = Function('f')
    g = Function('g')

    assert Subs(f(x), x, 0).doit() == f(0)
    assert Subs(f(x**2), x**2, 0).doit() == f(0)
    assert Subs(f(x, y), (x, y), (0, 1)).doit() == f(0, 1)
    assert Subs(Subs(f(x, y), x, 0), y, 1).doit() == f(0, 1)
    raises(ValueError, 'Subs(f(x, y), (x, y), (0, 0, 1))')
    raises(ValueError, 'Subs(f(x, y), (x, x, y), (0, 0, 1))')

    assert len(Subs(f(x, y), (x, y), (0, 1)).variables) == 2
    assert all(isinstance(v, Dummy) for v in Subs(f(x, y),
        (x, y), (0, 1)).variables)
    assert Subs(f(x, y), (x, y), (0, 1)).point == Tuple(0, 1)

    assert Subs(f(x), x, 0) == Subs(f(y), y, 0)
    assert Subs(f(x, y), (x, y), (0, 1)) == Subs(f(x, y), (y, x), (1, 0))
    assert Subs(f(x)*y, (x, y), (0, 1)) == Subs(f(y)*x, (y, x), (0, 1))
    assert Subs(f(x)*y, (x, y), (1, 1)) == Subs(f(y)*x, (x, y), (1, 1))

    assert Subs(f(x), x, 0).subs(x, 1) == Subs(f(x), x, 0)
    assert Subs(f(x), x, 0).subs(x, 1).doit() == f(0)
    assert Subs(f(x), x, y).subs(y, 0) == Subs(f(x), x, 0)
    assert Subs(y*f(x), x, y).subs(y, 2) == Subs(2*f(x), x, 2)
    assert (2 * Subs(f(x), x, 0)).subs(Subs(f(x), x, 0), y) == 2*y

    assert Subs(f(x), x, 0).free_symbols == set([])
    assert Subs(f(x, y), x, z).free_symbols == set([y, z])

    assert Subs(f(x).diff(x), x, 0).doit() == Subs(f(x).diff(x), x, 0)
    assert Subs(1+f(x).diff(x), x, 0).doit() == 1 + Subs(f(x).diff(x), x, 0)
    assert Subs(y*f(x, y).diff(x), (x, y), (0, 2)).doit() == \
            2*Subs(Derivative(f(x, 2), x), x, 0)
    assert Subs(y**2*f(x), x, 0).diff(y) == 2*y*f(0)

    e = Subs(y**2*f(x), x, y)
    assert e.diff(y) == e.doit().diff(y) == y**2*Derivative(f(y), y) + 2*y*f(y)

    assert Subs(f(x), x, 0) + Subs(f(x), x, 0) == 2*Subs(f(x), x, 0)
    e1 = Subs(z*f(x), x, 1)
    e2 = Subs(z*f(y), y, 1)
    assert e1 + e2 == 2*e1
    assert e1.__hash__() == e2.__hash__()
    assert Subs(z*f(x+1), x, 1) not in [ e1, e2 ]
    assert Derivative(f(x),x).subs(x,g(x)) == Derivative(f(g(x)),g(x))

开发者ID:TeddyBoomer，项目名称:geophar，代码行数:49，代码来源:test_functions.py

示例7: test_Subs

def test_Subs():
    assert Subs(f(x), x, 0).doit() == f(0)
    assert Subs(f(x ** 2), x ** 2, 0).doit() == f(0)
    assert Subs(f(x, y), (x, y), (0, 1)).doit() == f(0, 1)
    assert Subs(Subs(f(x, y), x, 0), y, 1).doit() == f(0, 1)
    raises(ValueError, "Subs(f(x, y), (x, y), (0, 0, 1))")
    raises(ValueError, "Subs(f(x, y), (x, x, y), (0, 0, 1))")

    assert len(Subs(f(x, y), (x, y), (0, 1)).variables) == 2
    assert all(isinstance(v, Dummy) for v in Subs(f(x, y), (x, y), (0, 1)).variables)
    assert Subs(f(x, y), (x, y), (0, 1)).point == Tuple(0, 1)

    assert Subs(f(x), x, 0) == Subs(f(y), y, 0)
    assert Subs(f(x, y), (x, y), (0, 1)) == Subs(f(x, y), (y, x), (1, 0))
    assert Subs(f(x) * y, (x, y), (0, 1)) == Subs(f(y) * x, (y, x), (0, 1))
    assert Subs(f(x) * y, (x, y), (1, 1)) == Subs(f(y) * x, (x, y), (1, 1))

    assert Subs(f(x), x, 0).subs(x, 1) == Subs(f(x), x, 0)
    assert Subs(f(x), x, 0).subs(x, 1).doit() == f(0)
    assert Subs(f(x), x, y).subs(y, 0) == Subs(f(x), x, 0)
    assert Subs(y * f(x), x, y).subs(y, 2) == Subs(2 * f(x), x, 2)
    assert (2 * Subs(f(x), x, 0)).subs(Subs(f(x), x, 0), y) == 2 * y

    assert Subs(f(x), x, 0).free_symbols == set([])
    assert Subs(f(x, y), x, z).free_symbols == set([y, z])

    assert Subs(f(x).diff(x), x, 0).doit() == Subs(f(x).diff(x), x, 0)
    assert Subs(1 + f(x).diff(x), x, 0).doit() == 1 + Subs(f(x).diff(x), x, 0)
    assert Subs(y * f(x, y).diff(x), (x, y), (0, 2)).doit() == 2 * Subs(Derivative(f(x, 2), x), x, 0)
    assert Subs(y ** 2 * f(x), x, 0).diff(y) == 2 * y * f(0)

    e = Subs(y ** 2 * f(x), x, y)
    assert e.diff(y) == e.doit().diff(y) == y ** 2 * Derivative(f(y), y) + 2 * y * f(y)

    assert Subs(f(x), x, 0) + Subs(f(x), x, 0) == 2 * Subs(f(x), x, 0)
    e1 = Subs(z * f(x), x, 1)
    e2 = Subs(z * f(y), y, 1)
    assert e1 + e2 == 2 * e1
    assert e1.__hash__() == e2.__hash__()
    assert Subs(z * f(x + 1), x, 1) not in [e1, e2]
    assert Derivative(f(x), x).subs(x, g(x)) == Derivative(f(g(x)), g(x))
    assert (
        Subs(f(x) * cos(y) + z, (x, y), (0, pi / 3)).n(1)
        == Subs(f(x) * cos(y) + z, (x, y), (0, pi / 3)).evalf(1)
        == z + Rational("1/2").n(1) * f(0)
    )

开发者ID:ness01，项目名称:sympy，代码行数:46，代码来源:test_functions.py

示例8: test_Subs

def test_Subs():
    assert Subs(1, (), ()) is S.One
    # check null subs influence on hashing
    assert Subs(x, y, z) != Subs(x, y, 1)
    # neutral subs works
    assert Subs(x, x, 1).subs(x, y).has(y)
    # self mapping var/point
    assert Subs(Derivative(f(x), (x, 2)), x, x).doit() == f(x).diff(x, x)
    assert Subs(x, x, 0).has(x)  # it's a structural answer
    assert not Subs(x, x, 0).free_symbols
    assert Subs(Subs(x + y, x, 2), y, 1) == Subs(x + y, (x, y), (2, 1))
    assert Subs(x, (x,), (0,)) == Subs(x, x, 0)
    assert Subs(x, x, 0) == Subs(y, y, 0)
    assert Subs(x, x, 0).subs(x, 1) == Subs(x, x, 0)
    assert Subs(y, x, 0).subs(y, 1) == Subs(1, x, 0)
    assert Subs(f(x), x, 0).doit() == f(0)
    assert Subs(f(x**2), x**2, 0).doit() == f(0)
    assert Subs(f(x, y, z), (x, y, z), (0, 1, 1)) != \
        Subs(f(x, y, z), (x, y, z), (0, 0, 1))
    assert Subs(x, y, 2).subs(x, y).doit() == 2
    assert Subs(f(x, y), (x, y, z), (0, 1, 1)) != \
        Subs(f(x, y) + z, (x, y, z), (0, 1, 0))
    assert Subs(f(x, y), (x, y), (0, 1)).doit() == f(0, 1)
    assert Subs(Subs(f(x, y), x, 0), y, 1).doit() == f(0, 1)
    raises(ValueError, lambda: Subs(f(x, y), (x, y), (0, 0, 1)))
    raises(ValueError, lambda: Subs(f(x, y), (x, x, y), (0, 0, 1)))

    assert len(Subs(f(x, y), (x, y), (0, 1)).variables) == 2
    assert Subs(f(x, y), (x, y), (0, 1)).point == Tuple(0, 1)

    assert Subs(f(x), x, 0) == Subs(f(y), y, 0)
    assert Subs(f(x, y), (x, y), (0, 1)) == Subs(f(x, y), (y, x), (1, 0))
    assert Subs(f(x)*y, (x, y), (0, 1)) == Subs(f(y)*x, (y, x), (0, 1))
    assert Subs(f(x)*y, (x, y), (1, 1)) == Subs(f(y)*x, (x, y), (1, 1))

    assert Subs(f(x), x, 0).subs(x, 1).doit() == f(0)
    assert Subs(f(x), x, y).subs(y, 0) == Subs(f(x), x, 0)
    assert Subs(y*f(x), x, y).subs(y, 2) == Subs(2*f(x), x, 2)
    assert (2 * Subs(f(x), x, 0)).subs(Subs(f(x), x, 0), y) == 2*y

    assert Subs(f(x), x, 0).free_symbols == set([])
    assert Subs(f(x, y), x, z).free_symbols == {y, z}

    assert Subs(f(x).diff(x), x, 0).doit(), Subs(f(x).diff(x), x, 0)
    assert Subs(1 + f(x).diff(x), x, 0).doit(), 1 + Subs(f(x).diff(x), x, 0)
    assert Subs(y*f(x, y).diff(x), (x, y), (0, 2)).doit() == \
        2*Subs(Derivative(f(x, 2), x), x, 0)
    assert Subs(y**2*f(x), x, 0).diff(y) == 2*y*f(0)

    e = Subs(y**2*f(x), x, y)
    assert e.diff(y) == e.doit().diff(y) == y**2*Derivative(f(y), y) + 2*y*f(y)

    assert Subs(f(x), x, 0) + Subs(f(x), x, 0) == 2*Subs(f(x), x, 0)
    e1 = Subs(z*f(x), x, 1)
    e2 = Subs(z*f(y), y, 1)
    assert e1 + e2 == 2*e1
    assert e1.__hash__() == e2.__hash__()
    assert Subs(z*f(x + 1), x, 1) not in [ e1, e2 ]
    assert Derivative(f(x), x).subs(x, g(x)) == Derivative(f(g(x)), g(x))
    assert Derivative(f(x), x).subs(x, x + y) == Subs(Derivative(f(x), x),
        x, x + y)
    assert Subs(f(x)*cos(y) + z, (x, y), (0, pi/3)).n(2) == \
        Subs(f(x)*cos(y) + z, (x, y), (0, pi/3)).evalf(2) == \
        z + Rational('1/2').n(2)*f(0)

    assert f(x).diff(x).subs(x, 0).subs(x, y) == f(x).diff(x).subs(x, 0)
    assert (x*f(x).diff(x).subs(x, 0)).subs(x, y) == y*f(x).diff(x).subs(x, 0)
    assert Subs(Derivative(g(x)**2, g(x), x), g(x), exp(x)
        ).doit() == 2*exp(x)
    assert Subs(Derivative(g(x)**2, g(x), x), g(x), exp(x)
        ).doit(deep=False) == 2*Derivative(exp(x), x)

    assert Derivative(f(x, g(x)), x).doit() == Derivative(g(x), x
        )*Subs(Derivative(f(x, y), y), y, g(x)
        ) + Subs(Derivative(f(y, g(x)), y), y, x)

开发者ID:cklb，项目名称:sympy，代码行数:75，代码来源:test_function.py

注：本文中的sympy.Subs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 util.grid_equal函数代码示例

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Python sympy.Subs类代码示例

示例1: test_issue_12005

示例2: test_Subs_subs

示例3: test_Subs

示例4: test_series_of_Subs

示例5: test_series_of_Subs

示例6: test_Subs

示例7: test_Subs

示例8: test_Subs

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