Expose gauss_legendre_tbl publicly as gauss_legendre_roots
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7 changed files with 152 additions and 65 deletions
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@ -1,5 +1,6 @@
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import numpy as np
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from scipy.special import legendre
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from scipy.special import p_roots
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import libsharp
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from numpy.testing import assert_allclose
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@ -39,3 +40,20 @@ def test_legendre_transform():
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for ntheta in nthetas_to_try:
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for lmax in [0, 1, 2, 3, 20] + list(np.random.randint(50, size=4)):
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yield check_legendre_transform, lmax, ntheta
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def check_legendre_roots(n):
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xs, ws = ([], []) if n == 0 else p_roots(n) # from SciPy
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xl, wl = libsharp.legendre_roots(n)
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assert_allclose(xs, xl)
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assert_allclose(ws, wl)
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def test_legendre_roots():
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"""
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Test the Legendre root-finding algorithm from libsharp by comparing it with
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the SciPy version.
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"""
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yield check_legendre_roots, 0
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yield check_legendre_roots, 1
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yield check_legendre_roots, 32
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yield check_legendre_roots, 33
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yield check_legendre_roots, 128
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