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Mini Shell
Mini Shell
from sympy import (sqrt, sin, cos, diff, conjugate,
mathieus, mathieuc, mathieusprime, mathieucprime)
from sympy.abc import a, q, z
def test_mathieus():
assert isinstance(mathieus(a, q, z), mathieus)
assert mathieus(a, 0, z) == sin(sqrt(a)*z)
assert conjugate(mathieus(a, q, z)) == mathieus(conjugate(a), conjugate(q), conjugate(z))
assert diff(mathieus(a, q, z), z) == mathieusprime(a, q, z)
def test_mathieuc():
assert isinstance(mathieuc(a, q, z), mathieuc)
assert mathieuc(a, 0, z) == cos(sqrt(a)*z)
assert diff(mathieuc(a, q, z), z) == mathieucprime(a, q, z)
def test_mathieusprime():
assert isinstance(mathieusprime(a, q, z), mathieusprime)
assert mathieusprime(a, 0, z) == sqrt(a)*cos(sqrt(a)*z)
assert diff(mathieusprime(a, q, z), z) == (-a + 2*q*cos(2*z))*mathieus(a, q, z)
def test_mathieucprime():
assert isinstance(mathieucprime(a, q, z), mathieucprime)
assert mathieucprime(a, 0, z) == -sqrt(a)*sin(sqrt(a)*z)
assert diff(mathieucprime(a, q, z), z) == (-a + 2*q*cos(2*z))*mathieuc(a, q, z)
Zerion Mini Shell 1.0