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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 except ImportError: sympy = MissingModule('sympy') try: import mpmath as mp except ImportError: mp = MissingModule('mpmath') @pytest.mark.slow @check_version(sympy, '0.7') @check_version(mp, '0.19') class TestInversion: @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)
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