本文整理汇总了Python中sympy.functions.euler函数的典型用法代码示例。如果您正苦于以下问题：Python euler函数的具体用法？Python euler怎么用？Python euler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euler函数的6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_euler_polynomials
def test_euler_polynomials():
assert euler(0, x) == 1
assert euler(1, x) == x - Rational(1, 2)
assert euler(2, x) == x**2 - x
assert euler(3, x) == x**3 - (3*x**2)/2 + Rational(1, 4)
m = Symbol('m')
assert isinstance(euler(m, x), euler)
from sympy import Float
A = Float('-0.46237208575048694923364757452876131e8') # from Maple
B = euler(19, S.Pi.evalf(32))
assert abs((A - B)/A) < 1e-31 # expect low relative error
C = euler(19, S.Pi, evaluate=False).evalf(32)
assert abs((A - C)/A) < 1e-31示例2: test_euler_failing
def test_euler_failing():
# depends on dummy variables being implemented https://github.com/sympy/sympy/issues/5665
assert euler(2*n).rewrite(Sum) == I*Sum(Sum((-1)**_j*2**(-_k)*I**(-_k)*(-2*_j + _k)**(2*n + 1)*binomial(_k, _j)/_k, (_j, 0, _k)), (_k, 1, 2*n + 1))示例3: test_euler
def test_euler():
assert euler(0) == 1
assert euler(1) == 0
assert euler(2) == -1
assert euler(3) == 0
assert euler(4) == 5
assert euler(6) == -61
assert euler(8) == 1385
assert euler(20, evaluate=False) != 370371188237525
n = Symbol('n', integer=True)
assert euler(n) != -1
assert euler(n).subs(n, 2) == -1
assert euler(20).evalf() == 370371188237525.0
assert euler(20, evaluate=False).evalf() == 370371188237525.0
assert euler(n).rewrite(Sum) == euler(n)
# XXX: Not sure what the guy who wrote this test was trying to do with the _j and _k stuff
assert euler(2*n + 1).rewrite(Sum) == 0示例4: test_issue_8496
def test_issue_8496():
n = Symbol("n")
k = Symbol("k")
raises(TypeError, lambda: catalan(n, k))
raises(TypeError, lambda: euler(n, k))示例5: test_euler_polynomial_rewrite
def test_euler_polynomial_rewrite():
m = Symbol('m')
A = euler(m, x).rewrite('Sum');
assert A.subs({m:3, x:5}).doit() == euler(3, 5)示例6: test_euler_odd
def test_euler_odd():
n = Symbol('n', odd=True, positive=True)
assert euler(n) == 0
n = Symbol('n', odd=True)
assert euler(n) != 0