Server : Apache/2.4.41 (Ubuntu) System : Linux absol.cf 5.4.0-198-generic #218-Ubuntu SMP Fri Sep 27 20:18:53 UTC 2024 x86_64 User : www-data ( 33) PHP Version : 7.4.33 Disable Function : pcntl_alarm,pcntl_fork,pcntl_waitpid,pcntl_wait,pcntl_wifexited,pcntl_wifstopped,pcntl_wifsignaled,pcntl_wifcontinued,pcntl_wexitstatus,pcntl_wtermsig,pcntl_wstopsig,pcntl_signal,pcntl_signal_get_handler,pcntl_signal_dispatch,pcntl_get_last_error,pcntl_strerror,pcntl_sigprocmask,pcntl_sigwaitinfo,pcntl_sigtimedwait,pcntl_exec,pcntl_getpriority,pcntl_setpriority,pcntl_async_signals,pcntl_unshare, Directory :  /usr/local/lib/python3.6/dist-packages/sympy/integrals/tests/

Upload File : current_dir [ Writeable ] document_root [ Writeable ]

from sympy.integrals.singularityfunctions import singularityintegrate
from sympy import SingularityFunction, symbols, Function

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)