| from sympy.integrals.singularityfunctions import singularityintegrate | |
| from sympy.core.function import Function | |
| from sympy.core.symbol import symbols | |
| from sympy.functions.special.singularity_functions import SingularityFunction | |
| x, a, n, y = symbols('x a n y') | |
| f = Function('f') | |
| def test_singularityintegrate(): | |
| assert singularityintegrate(x, x) is None | |
| assert singularityintegrate(x + SingularityFunction(x, 9, 1), x) is None | |
| assert 4*singularityintegrate(SingularityFunction(x, a, 3), x) == 4*SingularityFunction(x, a, 4)/4 | |
| assert singularityintegrate(5*SingularityFunction(x, 5, -2), x) == 5*SingularityFunction(x, 5, -1) | |
| assert singularityintegrate(6*SingularityFunction(x, 5, -1), x) == 6*SingularityFunction(x, 5, 0) | |
| assert singularityintegrate(x*SingularityFunction(x, 0, -1), x) == 0 | |
| assert singularityintegrate((x - 5)*SingularityFunction(x, 5, -1), x) == 0 | |
| assert singularityintegrate(SingularityFunction(x, 0, -1) * f(x), x) == f(0) * SingularityFunction(x, 0, 0) | |
| assert singularityintegrate(SingularityFunction(x, 1, -1) * f(x), x) == f(1) * SingularityFunction(x, 1, 0) | |
| assert singularityintegrate(y*SingularityFunction(x, 0, -1)**2, x) == \ | |
| y*SingularityFunction(0, 0, -1)*SingularityFunction(x, 0, 0) | |