本文整理汇总了Python中sympy.residue函数的典型用法代码示例。如果您正苦于以下问题：Python residue函数的具体用法？Python residue怎么用？Python residue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residue函数的15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，您的评价将有助于系统推荐出更棒的Python代码示例。
示例1: test_expressions_failing
def test_expressions_failing():
assert residue(1/(x**4 + 1), x, exp(I*pi/4)) == -(S(1)/4 + I/4)/sqrt(2)
n = Symbol('n', integer=True, positive=True)
assert residue(exp(z)/(z - pi*I/4*a)**n, z, I*pi*a) == \
exp(I*pi*a/4)/factorial(n - 1)
assert residue(1/(x**2 + a**2)**2, x, a*I) == -I/4/a**3示例2: test_basic1
def test_basic1():
assert residue(1 / x, x, 0) == 1
assert residue(-2 / x, x, 0) == -2
assert residue(81 / x, x, 0) == 81
assert residue(1 / x ** 2, x, 0) == 0
assert residue(0, x, 0) == 0
assert residue(5, x, 0) == 0
assert residue(x, x, 0) == 0
assert residue(x ** 2, x, 0) == 0示例3: test_basic2
def test_basic2():
assert residue(1 / x, x, 1) == 0
assert residue(-2 / x, x, 1) == 0
assert residue(81 / x, x, -1) == 0
assert residue(1 / x ** 2, x, 1) == 0
assert residue(0, x, 1) == 0
assert residue(5, x, 1) == 0
assert residue(x, x, 1) == 0
assert residue(x ** 2, x, 5) == 0示例4: test_basic2
def test_basic2():
x = Symbol("x")
assert residue(1/x, x, 1) == 0
assert residue(-2/x, x, 1) == 0
assert residue(81/x, x, -1) == 0
assert residue(1/x**2, x, 1) == 0
assert residue(0, x, 1) == 0
assert residue(5, x, 1) == 0
assert residue(x, x, 1) == 0
assert residue(x**2, x, 5) == 0示例5: test_expressions
def test_expressions():
assert residue(1 / (x + 1), x, 0) == 0
assert residue(1 / (x + 1), x, -1) == 1
assert residue(1 / (x ** 2 + 1), x, -1) == 0
assert residue(1 / (x ** 2 + 1), x, I) == -I / 2
assert residue(1 / (x ** 2 + 1), x, -I) == I / 2
assert residue(1 / (x ** 4 + 1), x, 0) == 0示例6: test_bug
def test_bug():
assert residue(2 ** (z) * (s + z) * (1 - s - z) / z ** 2, z, 0) == 1 + s * log(2) - s ** 2 * log(2) - 2 * s示例7: test_NotImplemented
def test_NotImplemented():
raises(NotImplementedError, lambda: residue(exp(1 / z), z, 0))示例8: test_functions
def test_functions():
assert residue(1 / sin(x), x, 0) == 1
assert residue(2 / sin(x), x, 0) == 2
assert residue(1 / sin(x) ** 2, x, 0) == 0
assert residue(1 / sin(x) ** 5, x, 0) == S(3) / 8示例9: _test_f
def _test_f():
f = Function("f")
assert residue(f(x) / x ** 5, x, 0) == f(x).diff(x, 4).subs(x, 0) / 24示例10: test_functions
def test_functions():
x = Symbol("x")
assert residue(1/sin(x), x, 0) == 1
assert residue(2/sin(x), x, 0) == 2
assert residue(1/sin(x)**2, x, 0) == 0示例11: test_issue_3400
def test_issue_3400():
assert residue(1/(exp(z) - 1), z, 0) == 1
# github issue 2519:
assert residue((z**3 + 5)/((z**4 - 1)*(z + 1)), z, -1) == -S(9)/4示例12: _test_f
def _test_f():
# FIXME: we get infinite recursion here:
f = Function("f")
assert residue(f(x)/x**5, x, 0) == f.diff(x, 4)/24示例13: test_bug
def test_bug():
from sympy.abc import s, z
assert residue(2**(z)*(s+z)*(1-s-z)/z**2, z, 0) == \
1 + s*log(2) - s**2*log(2) - 2*s示例14: test_issue_3400
def test_issue_3400():
assert residue(1/(exp(z) - 1), z, 0) == 1示例15: test_NotImplemented
def test_NotImplemented():
z = Symbol('z')
raises(NotImplementedError, lambda: residue(exp(1/z), z, 0))