2018-10-03 12:38:48 +00:00
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#setup: N = 5000 ; import numpy as np ; t0, p0, t1, p1 = np.random.randn(N), np.random.randn(N), np.random.randn(N), np.random.randn(N)
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2018-04-05 22:07:33 +00:00
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#run: arc_distance(t0, p0, t1, p1)
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#pythran export arc_distance(float64 [], float64[], float64[], float64[])
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import numpy as np
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2018-10-03 12:38:48 +00:00
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def arc_distance(theta_1, phi_1, theta_2, phi_2):
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2018-04-05 22:07:33 +00:00
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"""
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Calculates the pairwise arc distance between all points in vector a and b.
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"""
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2018-10-03 12:38:48 +00:00
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temp = (np.sin((theta_2-theta_1)/2)**2
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+ np.cos(theta_1) * np.cos(theta_2) * np.sin((phi_2-phi_1)/2)**2)
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distance_matrix = 2 * (np.arctan2(np.sqrt(temp), np.sqrt(1-temp)))
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2018-04-05 22:07:33 +00:00
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return distance_matrix
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