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Python

import pytest
from scipy.special._testutils import MissingModule, check_version
from scipy.special._mptestutils import mp_assert_allclose
from scipy.special._precompute.utils import lagrange_inversion
try:
import sympy # type: ignore[import]
except ImportError:
sympy = MissingModule('sympy')
try:
import mpmath as mp # type: ignore[import]
except ImportError:
mp = MissingModule('mpmath')
@pytest.mark.slow
@check_version(sympy, '0.7')
@check_version(mp, '0.19')
class TestInversion(object):
@pytest.mark.xfail_on_32bit("rtol only 2e-9, see gh-6938")
def test_log(self):
with mp.workdps(30):
logcoeffs = mp.taylor(lambda x: mp.log(1 + x), 0, 10)
expcoeffs = mp.taylor(lambda x: mp.exp(x) - 1, 0, 10)
invlogcoeffs = lagrange_inversion(logcoeffs)
mp_assert_allclose(invlogcoeffs, expcoeffs)
@pytest.mark.xfail_on_32bit("rtol only 1e-15, see gh-6938")
def test_sin(self):
with mp.workdps(30):
sincoeffs = mp.taylor(mp.sin, 0, 10)
asincoeffs = mp.taylor(mp.asin, 0, 10)
invsincoeffs = lagrange_inversion(sincoeffs)
mp_assert_allclose(invsincoeffs, asincoeffs, atol=1e-30)