''' Created on 23. des. 2016 @author: pab ''' from __future__ import division import unittest import numpy as np from numpy.testing import assert_allclose from numpy import array import wafo.kdetools.gridding as wkg class TestKdeTools(unittest.TestCase): def setUp(self): # N = 20 # data = np.random.rayleigh(1, size=(N,)) self.data = array([0.75355792, 0.72779194, 0.94149169, 0.07841119, 2.32291887, 1.10419995, 0.77055114, 0.60288273, 1.36883635, 1.74754326, 1.09547561, 1.01671133, 0.73211143, 0.61891719, 0.75903487, 1.8919469, 0.72433808, 1.92973094, 0.44749838, 1.36508452]) self.x = np.linspace(0, max(self.data) + 1, 10) def test_gridcount_1D(self): data, x = self.data, self.x dx = x[1] - x[0] c = wkg.gridcount(data, x) assert_allclose(c, [0.78762626, 1.77520717, 7.99190087, 4.04054449, 1.67156643, 2.38228499, 1.05933195, 0.29153785, 0., 0.]) t = np.trapz(c / dx / len(data), x) assert_allclose(t, 0.9803093435140049) def test_gridcount_2D(self): N = 20 # data = np.random.rayleigh(1, size=(2, N)) data = array([ [0.38103275, 0.35083136, 0.90024207, 1.88230239, 0.96815399, 0.57392873, 1.63367908, 1.20944125, 2.03887811, 0.81789145, 0.69302049, 1.40856592, 0.92156032, 2.14791432, 2.04373821, 0.69800708, 0.58428735, 1.59128776, 2.05771405, 0.87021964], [1.44080694, 0.39973751, 1.331243, 2.48895822, 1.18894158, 1.40526085, 1.01967897, 0.81196474, 1.37978932, 2.03334689, 0.870329, 1.25106862, 0.5346619, 0.47541236, 1.51930093, 0.58861519, 1.19780448, 0.81548296, 1.56859488, 1.60653533]]) x = np.linspace(0, max(np.ravel(data)) + 1, 5) dx = x[1] - x[0] X = np.vstack((x, x)) c = wkg.gridcount(data, X) assert_allclose(c, [[0.38922806, 0.8987982, 0.34676493, 0.21042807, 0.], [1.15012203, 5.16513541, 3.19250588, 0.55420752, 0.], [0.74293418, 3.42517219, 1.97923195, 0.76076621, 0.], [0.02063536, 0.31054405, 0.71865964, 0.13486633, 0.], [0., 0., 0., 0., 0.]], 1e-5) t = np.trapz(np.trapz(c / (dx**2 * N), x), x) assert_allclose(t, 0.9011618785736376) def test_gridcount_3D(self): N = 20 # data = np.random.rayleigh(1, size=(3, N)) data = np.array([ [0.932896, 0.89522635, 0.80636346, 1.32283371, 0.27125435, 1.91666304, 2.30736635, 1.13662384, 1.73071287, 1.06061127, 0.99598512, 2.16396591, 1.23458213, 1.12406686, 1.16930431, 0.73700592, 1.21135139, 0.46671506, 1.3530304, 0.91419104], [0.62759088, 0.23988169, 2.04909823, 0.93766571, 1.19343762, 1.94954931, 0.84687514, 0.49284897, 1.05066204, 1.89088505, 0.840738, 1.02901457, 1.0758625, 1.76357967, 0.45792897, 1.54488066, 0.17644313, 1.6798871, 0.72583514, 2.22087245], [1.69496432, 0.81791905, 0.82534709, 0.71642389, 0.89294732, 1.66888649, 0.69036947, 0.99961448, 0.30657267, 0.98798713, 0.83298728, 1.83334948, 1.90144186, 1.25781913, 0.07122458, 2.42340852, 2.41342037, 0.87233305, 1.17537114, 1.69505988]]) x = np.linspace(0, max(np.ravel(data)) + 1, 3) dx = x[1] - x[0] X = np.vstack((x, x, x)) c = wkg.gridcount(data, X) assert_allclose(c, [[[8.74229894e-01, 1.27910940e+00, 1.42033973e-01], [1.94778915e+00, 2.59536282e+00, 3.28213680e-01], [1.08429416e-01, 1.69571495e-01, 7.48896775e-03]], [[1.44969128e+00, 2.58396370e+00, 2.45459949e-01], [2.28951650e+00, 4.49653348e+00, 2.73167915e-01], [1.10905565e-01, 3.18733817e-01, 1.12880816e-02]], [[7.49265424e-02, 2.18142488e-01, 0.0], [8.53886762e-02, 3.73415131e-01, 0.0], [4.16196568e-04, 1.62218824e-02, 0.0]]]) t = np.trapz(np.trapz(np.trapz(c / dx**3 / N, x), x), x) assert_allclose(t, 0.5164999727560187) def test_gridcount_4D(self): N = 20 # data = np.random.rayleigh(1, size=(2, N)) data = array([ [0.38103275, 0.35083136, 0.90024207, 1.88230239, 0.96815399, 0.57392873, 1.63367908, 1.20944125, 2.03887811, 0.81789145], [0.69302049, 1.40856592, 0.92156032, 2.14791432, 2.04373821, 0.69800708, 0.58428735, 1.59128776, 2.05771405, 0.87021964], [1.44080694, 0.39973751, 1.331243, 2.48895822, 1.18894158, 1.40526085, 1.01967897, 0.81196474, 1.37978932, 2.03334689], [0.870329, 1.25106862, 0.5346619, 0.47541236, 1.51930093, 0.58861519, 1.19780448, 0.81548296, 1.56859488, 1.60653533]]) x = np.linspace(0, max(np.ravel(data)) + 1, 3) dx = x[1] - x[0] X = np.vstack((x, x, x, x)) c = wkg.gridcount(data, X) assert_allclose(c, [[[[1.77163904e-01, 1.87720108e-01, 0.0], [5.72573585e-01, 6.09557834e-01, 0.0], [3.48549923e-03, 4.05931870e-02, 0.0]], [[1.83770124e-01, 2.56357594e-01, 0.0], [4.35845892e-01, 6.14958970e-01, 0.0], [3.07662204e-03, 3.58312786e-02, 0.0]], [[0.0, 0.0, 0.0], [0.0, 0.0, 0.0], [0.0, 0.0, 0.0]]], [[[3.41883175e-01, 5.97977973e-01, 0.0], [5.72071865e-01, 8.58566538e-01, 0.0], [3.46939323e-03, 4.04056116e-02, 0.0]], [[3.58861043e-01, 6.28962785e-01, 0.0], [8.80697705e-01, 1.47373158e+00, 0.0], [2.22868504e-01, 1.18008528e-01, 0.0]], [[2.91835067e-03, 2.60268355e-02, 0.0], [3.63686503e-02, 1.07959459e-01, 0.0], [1.88555613e-02, 7.06358976e-03, 0.0]]], [[[3.13810608e-03, 2.11731327e-02, 0.0], [6.71606255e-03, 4.53139824e-02, 0.0], [0.0, 0.0, 0.0]], [[7.05946179e-03, 5.44614852e-02, 0.0], [1.09099593e-01, 1.95935584e-01, 0.0], [6.61257395e-02, 2.47717418e-02, 0.0]], [[6.38695629e-04, 5.69610302e-03, 0.0], [1.00358265e-02, 2.44053065e-02, 0.0], [5.67244468e-03, 2.12498697e-03, 0.0]]]]) t = np.trapz(np.trapz(np.trapz(np.trapz(c / dx**4 / N, x), x), x), x) assert_allclose(t, 0.21183518274521254) if __name__ == "__main__": # import sys;sys.argv = ['', 'Test.testName'] unittest.main()