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/series/tests/

Upload File : current_dir [ Writeable ] document_root [ Writeable ]

from sympy import sin, cos, exp, tanh, E, S, Order
from sympy.abc import x, y


def test_sin():
    e = sin(x).lseries(x)
    assert next(e) == x
    assert next(e) == -x**3/6
    assert next(e) == x**5/120


def test_cos():
    e = cos(x).lseries(x)
    assert next(e) == 1
    assert next(e) == -x**2/2
    assert next(e) == x**4/24


def test_exp():
    e = exp(x).lseries(x)
    assert next(e) == 1
    assert next(e) == x
    assert next(e) == x**2/2
    assert next(e) == x**3/6


def test_exp2():
    e = exp(cos(x)).lseries(x)
    assert next(e) == E
    assert next(e) == -E*x**2/2
    assert next(e) == E*x**4/6
    assert next(e) == -31*E*x**6/720


def test_simple():
    assert [t for t in x.lseries()] == [x]
    assert [t for t in S.One.lseries(x)] == [1]
    assert not next((x/(x + y)).lseries(y)).has(Order)


def test_issue_5183():
    s = (x + 1/x).lseries()
    assert [si for si in s] == [1/x, x]
    assert next((x + x**2).lseries()) == x
    assert next(((1 + x)**7).lseries(x)) == 1
    assert next((sin(x + y)).series(x, n=3).lseries(y)) == x
    # it would be nice if all terms were grouped, but in the
    # following case that would mean that all the terms would have
    # to be known since, for example, every term has a constant in it.
    s = ((1 + x)**7).series(x, 1, n=None)
    assert [next(s) for i in range(2)] == [128, -448 + 448*x]


def test_issue_6999():
    s = tanh(x).lseries(x, 1)
    assert next(s) == tanh(1)
    assert next(s) == x - (x - 1)*tanh(1)**2 - 1
    assert next(s) == -(x - 1)**2*tanh(1) + (x - 1)**2*tanh(1)**3
    assert next(s) == -(x - 1)**3*tanh(1)**4 - (x - 1)**3/3 + \
        4*(x - 1)**3*tanh(1)**2/3