from numpy.testing import (run_module_suite, assert_equal, assert_almost_equal, assert_array_equal, assert_array_almost_equal) import numpy as np from numpy import array, cos, exp, linspace, pi, sin, diff, arange, ones from wafo.data import sea from wafo.misc import (JITImport, Bunch, detrendma, DotDict, findcross, ecross, findextrema, findrfc, rfcfilter, findtp, findtc, findoutliers, common_shape, argsreduce, stirlerr, getshipchar, betaloge, hygfz, gravity, nextpow2, discretize, polar2cart, cart2polar, tranproc) def test_JITImport(): np = JITImport('numpy') assert_equal(1.0, np.exp(0)) def test_bunch(): d = Bunch(test1=1, test2=3) assert_equal(1, d.test1) assert_equal(3, d.test2) def test_dotdict(): d = DotDict(test1=1, test2=3) assert_equal(1, d.test1) assert_equal(3, d.test2) def test_detrendma(): x = linspace(0, 1, 200) y = exp(x) + 0.1 * cos(20 * 2 * pi * x) y0 = detrendma(y, 20) tr = y - y0 assert_array_almost_equal( y0, array( [-1.05815186e-02, -2.48280355e-02, -7.01800760e-02, -1.27193089e-01, -1.71915213e-01, -1.85125121e-01, -1.59745361e-01, -1.03571981e-01, -3.62676515e-02, 1.82219951e-02, 4.09039083e-02, 2.50630186e-02, -2.11478040e-02, -7.78521440e-02, -1.21116040e-01, -1.32178923e-01, -1.04689244e-01, -4.71541301e-02, 2.03417510e-02, 7.38826137e-02, 8.95349902e-02, 6.68738432e-02, 1.46828486e-02, -4.68648556e-02, -9.39871606e-02, -1.08465407e-01, -8.46710629e-02, -3.17365657e-02, 2.99669288e-02, 7.66864134e-02, 9.04482283e-02, 6.59902473e-02, 1.27914062e-02, -4.85841870e-02, -9.44185349e-02, -1.06987444e-01, -8.13964951e-02, -2.74687460e-02, 3.40438793e-02, 7.94643163e-02, 9.13222681e-02, 6.50922520e-02, 1.09390148e-02, -5.02028639e-02, -9.47031411e-02, -1.05349757e-01, -7.79872833e-02, -2.31196073e-02, 3.81412653e-02, 8.22178144e-02, 9.21605209e-02, 6.41850565e-02, 9.13184690e-03, -5.17149253e-02, -9.48363260e-02, -1.03549587e-01, -7.44424124e-02, -1.86890490e-02, 4.22594607e-02, 8.49486437e-02, 9.29666543e-02, 6.32740911e-02, 7.37625254e-03, -5.31142920e-02, -9.48133620e-02, -1.01584110e-01, -7.07607748e-02, -1.41768231e-02, 4.63990484e-02, 8.76587937e-02, 9.37446001e-02, 6.23650231e-02, 5.67876495e-03, -5.43947621e-02, -9.46294406e-02, -9.94504301e-02, -6.69411601e-02, -9.58252265e-03, 5.05608316e-02, 9.03505172e-02, 9.44985623e-02, 6.14637631e-02, 4.04610591e-03, -5.55500040e-02, -9.42796647e-02, -9.71455674e-02, -6.29822440e-02, -4.90556961e-03, 5.47458452e-02, 9.30263409e-02, 9.52330253e-02, 6.05764719e-02, 2.48519180e-03, -5.65735506e-02, -9.37590405e-02, -9.46664506e-02, -5.88825766e-02, -1.45202622e-04, 5.89553685e-02, 9.56890756e-02, 9.59527629e-02, 5.97095676e-02, 1.00314001e-03, -5.74587921e-02, -9.30624694e-02, -9.20099048e-02, -5.46405701e-02, 4.69953603e-03, 6.31909369e-02, 9.83418277e-02, 9.66628470e-02, 5.88697331e-02, -3.92724035e-04, -5.81989687e-02, -9.21847386e-02, -8.91726414e-02, -5.02544862e-02, 9.62981387e-03, 6.74543554e-02, 1.00988010e-01, 9.73686580e-02, 5.80639242e-02, -1.69485946e-03, -5.87871620e-02, -9.11205115e-02, -8.61512458e-02, -4.57224228e-02, 1.46470222e-02, 7.17477118e-02, 1.03631355e-01, 9.80758938e-02, 5.72993780e-02, -2.89550192e-03, -5.92162868e-02, -8.98643173e-02, -8.29421650e-02, -4.10422999e-02, 1.97527907e-02, 7.60733908e-02, 1.06275925e-01, 9.87905812e-02, 5.65836223e-02, -3.98665495e-03, -5.94790815e-02, -8.84105398e-02, -7.95416952e-02, -3.62118451e-02, 2.49490024e-02, 8.04340881e-02, 1.08926128e-01, 9.95190863e-02, 5.59244846e-02, -4.96008086e-03, -5.95680980e-02, -8.67534061e-02, -7.59459673e-02, -3.12285782e-02, 3.02378095e-02, 8.48328258e-02, 1.11586726e-01, 1.00268126e-01, 5.53301029e-02, -5.80729079e-03, -5.94756912e-02, -8.48869734e-02, -7.21509330e-02, -2.60897955e-02, 3.56216499e-02, 8.92729678e-02, 1.14262857e-01, 1.01044781e-01, 5.48089359e-02, -6.51953427e-03, -5.91940075e-02, -8.28051165e-02, -6.81523491e-02, -2.07925530e-02, 4.11032641e-02, 9.37582360e-02, 1.16960041e-01, 1.13824241e-01, 7.82451609e-02, 2.87461256e-02, -1.07566250e-02, -2.01779675e-02, 8.98967999e-03, 7.03952281e-02, 1.45278564e-01, 2.09706186e-01, 2.43802139e-01, 2.39414013e-01, 2.03257341e-01, 1.54325635e-01, 1.16564992e-01, 1.09638547e-01, 1.41342814e-01, 2.04600808e-01, 2.80191671e-01, 3.44164010e-01, 3.77073744e-01 ])) assert_array_almost_equal(tr, array([ 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11058152, 1.11599212, 1.12125245, 1.12643866, 1.13166607, 1.13704477, 1.14263723, 1.14843422, 1.15435845, 1.16029443, 1.16613308, 1.17181383, 1.17734804, 1.18281471, 1.18833001, 1.19400259, 1.19989168, 1.20598434, 1.21220048, 1.21842384, 1.22454684, 1.23051218, 1.23633498, 1.24209697, 1.24791509, 1.25389641, 1.26009689, 1.26649987, 1.27302256, 1.27954802, 1.28597031, 1.29223546, 1.29836228, 1.30443522, 1.31057183, 1.31687751, 1.32340488, 1.3301336, 1.33697825, 1.34382132, 1.35055864, 1.35713958, 1.36358668, 1.36998697, 1.37645853, 1.38310497, 1.38997553, 1.39704621, 1.40422902, 1.41140604, 1.41847493, 1.4253885, 1.43217295, 1.43891784, 1.44574164, 1.45274607, 1.45997696, 1.46740665, 1.47494469, 1.48247285, 1.48989073, 1.49715462, 1.50429437, 1.51140198, 1.51859618, 1.52597672, 1.53358594, 1.54139257, 1.5493038, 1.55720119, 1.56498641, 1.57261924, 1.58013316, 1.58762252, 1.5952062, 1.60298187, 1.61098836, 1.6191908, 1.62749412, 1.63577979, 1.64395163, 1.65197298, 1.65988092, 1.66777202, 1.67576523, 1.68395602, 1.69237968, 1.70099778, 1.70971307, 1.71840707, 1.72698583, 1.73541631, 1.74373911, 1.75205298, 1.76047677, 1.76910369, 1.77796544, 1.78702008, 1.79616827, 1.80529169, 1.81429875, 1.82316, 1.83191959, 1.84067831, 1.84955481, 1.85863994, 1.86796178, 1.87747491, 1.88707803, 1.89665308, 1.9061109, 1.91542572, 1.92464514, 1.9338719, 1.94322436, 1.9527909, 1.96259596, 1.97259069, 1.9826719, 1.99272195, 2.00265419, 2.01244653, 2.02215, 2.0318692, 2.04172204, 2.05179437, 2.06210696, 2.07260759, 2.08319129, 2.09374092, 2.10417247, 2.11446752, 2.12468051, 2.13491776, 2.14529665, 2.1559004, 2.16674609, 2.17777817, 2.18889002, 2.19996511, 2.21092214, 2.22174641, 2.23249567, 2.24327791, 2.25420982, 2.26537192, 2.2767776, 2.28836802, 2.30003501, 2.3116628, 2.32317284, 2.33455419, 2.34586786, 2.35722337, 2.36873665, 2.38048542, 2.39247934, 2.4046564, 2.41690694, 2.42911606, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808, 2.44120808])) def test_findcross_and_ecross(): assert_array_equal(findcross([0, 0, 1, -1, 1], 0), np.array([1, 2, 3])) assert_array_equal(findcross([0, 1, -1, 1], 0), np.array([0, 1, 2])) t = linspace(0, 7 * pi, 250) x = sin(t) ind = findcross(x, 0.75) assert_array_equal(ind, np.array([9, 25, 80, 97, 151, 168, 223, 239])) t0 = ecross(t, x, ind, 0.75) assert_array_almost_equal(t0, np.array([0.84910514, 2.2933879, 7.13205663, 8.57630119, 13.41484739, 14.85909194, 19.69776067, 21.14204343])) def test_findextrema(): t = linspace(0, 7 * pi, 250) x = sin(t) ind = findextrema(x) assert_array_almost_equal(ind, np.array([18, 53, 89, 125, 160, 196, 231])) def test_findrfc(): t = linspace(0, 7 * pi, 250) x = sin(t) + 0.1 * sin(50 * t) ind = findextrema(x) assert_array_almost_equal( ind, np.array( [1, 3, 4, 6, 7, 9, 11, 13, 14, 16, 18, 19, 21, 23, 25, 26, 28, 29, 31, 33, 35, 36, 38, 39, 41, 43, 45, 46, 48, 50, 51, 53, 55, 56, 58, 60, 61, 63, 65, 67, 68, 70, 71, 73, 75, 77, 78, 80, 81, 83, 85, 87, 88, 90, 92, 93, 95, 97, 99, 100, 102, 103, 105, 107, 109, 110, 112, 113, 115, 117, 119, 120, 122, 124, 125, 127, 129, 131, 132, 134, 135, 137, 139, 141, 142, 144, 145, 147, 149, 151, 152, 154, 156, 157, 159, 161, 162, 164, 166, 167, 169, 171, 173, 174, 176, 177, 179, 181, 183, 184, 186, 187, 189, 191, 193, 194, 196, 198, 199, 201, 203, 205, 206, 208, 209, 211, 213, 215, 216, 218, 219, 221, 223, 225, 226, 228, 230, 231, 233, 235, 237, 238, 240, 241, 243, 245, 247, 248])) _ti, tp = t[ind], x[ind] ind1 = findrfc(tp, 0.3) assert_array_almost_equal( ind1, np.array([0, 9, 32, 53, 74, 95, 116, 137])) assert_array_almost_equal( tp[ind1], np.array( [-0.00743352, 1.08753972, -1.07206545, 1.09550837, -1.07940458, 1.07849396, -1.0995006, 1.08094452])) def test_rfcfilter(): # 1. Filtered signal y is the turning points of x. x = sea() y = rfcfilter(x[:, 1], h=0, method=1) assert_array_almost_equal( y[0:5], np.array([-1.2004945, 0.83950546, -0.09049454, -0.02049454, -0.09049454])) # 2. This removes all rainflow cycles with range less than 0.5. y1 = rfcfilter(x[:, 1], h=0.5) assert_array_almost_equal( y1[0:5], np.array([-1.2004945, 0.83950546, -0.43049454, 0.34950546, -0.51049454])) t = linspace(0, 7 * pi, 250) x = sin(t) + 0.1 * sin(50 * t) ind = findextrema(x) assert_array_almost_equal( ind, np.array( [1, 3, 4, 6, 7, 9, 11, 13, 14, 16, 18, 19, 21, 23, 25, 26, 28, 29, 31, 33, 35, 36, 38, 39, 41, 43, 45, 46, 48, 50, 51, 53, 55, 56, 58, 60, 61, 63, 65, 67, 68, 70, 71, 73, 75, 77, 78, 80, 81, 83, 85, 87, 88, 90, 92, 93, 95, 97, 99, 100, 102, 103, 105, 107, 109, 110, 112, 113, 115, 117, 119, 120, 122, 124, 125, 127, 129, 131, 132, 134, 135, 137, 139, 141, 142, 144, 145, 147, 149, 151, 152, 154, 156, 157, 159, 161, 162, 164, 166, 167, 169, 171, 173, 174, 176, 177, 179, 181, 183, 184, 186, 187, 189, 191, 193, 194, 196, 198, 199, 201, 203, 205, 206, 208, 209, 211, 213, 215, 216, 218, 219, 221, 223, 225, 226, 228, 230, 231, 233, 235, 237, 238, 240, 241, 243, 245, 247, 248])) _ti, tp = t[ind], x[ind] tp03 = rfcfilter(tp, 0.3) assert_array_almost_equal( tp03, np.array( [-0.00743352, 1.08753972, -1.07206545, 1.09550837, -1.07940458, 1.07849396, -1.0995006, 1.08094452, 0.11983423])) def test_findtp(): x = sea() x1 = x[0:200, :] itp = findtp(x1[:, 1], 0, 'Mw') itph = findtp(x1[:, 1], 0.3, 'Mw') assert_array_almost_equal( itp, np.array( [11, 21, 22, 24, 26, 28, 31, 39, 43, 45, 47, 51, 56, 64, 70, 78, 82, 84, 89, 94, 101, 108, 119, 131, 141, 148, 149, 150, 159, 173, 184, 190, 199])) assert_array_almost_equal( itph, np.array( [11, 28, 31, 39, 47, 51, 56, 64, 70, 78, 89, 94, 101, 108, 119, 131, 141, 148, 159, 173, 184, 190, 199])) def test_findtc(): x = sea() x1 = x[0:200, :] itc, iv = findtc(x1[:, 1], 0, 'dw') assert_array_almost_equal( itc, np.array( [28, 31, 39, 56, 64, 69, 78, 82, 83, 89, 94, 101, 108, 119, 131, 140, 148, 159, 173, 184])) assert_array_almost_equal( iv, np.array( [19, 29, 34, 53, 60, 67, 76, 81, 82, 84, 90, 99, 103, 112, 127, 137, 143, 154, 166, 180, 185])) def test_findoutliers(): xx = sea() dt = diff(xx[:2, 0]) dcrit = 5 * dt ddcrit = 9.81 / 2 * dt * dt zcrit = 0 [inds, indg] = findoutliers(xx[:, 1], zcrit, dcrit, ddcrit, verbose=False) assert_array_almost_equal(inds[np.r_[0, 1, 2, -3, -2, -1]], np.array([6, 7, 8, 9509, 9510, 9511])) assert_array_almost_equal(indg[np.r_[0, 1, 2, -3, -2, -1]], np.array([0, 1, 2, 9521, 9522, 9523])) def test_hygfz(): # y = hyp2f1_taylor(-1, -4, 1, .9) assert_equal(4.6, hygfz(-1, -4, 1, .9)) assert_almost_equal(1.0464328112173522, hygfz(0.1, 0.2, 0.3, 0.5)) assert_almost_equal(1.2027034401166194, hygfz(0.1, 0.2, 0.3, 0.95)) # assert_equal(1.661006238211309e-07, hygfz(5, -300, 10, 0.5)) # assert_equal(0.118311386286, hygfz(0.5, -99.0, 1.5, 0.5625)) # assert_equal(0.0965606007742, hygfz(0.5, -149.0, 1.5, 0.5625)) # assert_equal(0.49234384000963544 + 0.60513406166123973j, # hygfz(1, 1, 4, 3 + 4j)) def test_common_shape(): A = np.ones((4, 1)) B = 2 C = np.ones((1, 5)) * 5 assert_array_equal(common_shape(A, B, C), (4, 5)) assert_array_equal(common_shape(A, B, C, shape=(3, 4, 1)), (3, 4, 5)) A = np.ones((4, 1)) B = 2 C = np.ones((1, 5)) * 5 assert_array_equal(common_shape(A, B, C), (4, 5)) assert_array_equal(common_shape(A, B, C, shape=(3, 4, 1)), (3, 4, 5)) def test_argsreduce(): A = linspace(0, 19, 20).reshape((4, 5)) B = 2 C = range(5) cond = np.ones(A.shape) [_A1, B1, _C1] = argsreduce(cond, A, B, C) assert_equal(B1.shape, (20,)) cond[2, :] = 0 [A2, B2, C2] = argsreduce(cond, A, B, C) assert_equal(B2.shape, (15,)) assert_array_equal(A2, np.array([0., 1., 2., 3., 4., 5., 6., 7., 8., 9., 15., 16., 17., 18., 19.])) assert_array_equal( B2, np.array([2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2])) assert_array_equal( C2, np.array([0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4])) def test_stirlerr(): assert_array_almost_equal(stirlerr(range(5)), np.array([np.inf, 0.08106147, 0.0413407, 0.02767793, 0.02079067])) def test_getshipchar(): sc = getshipchar(10, 'service_speed') true_sc = dict(beam=29, beamSTD=2.9, draught=9.6, draughtSTD=2.112, length=216, lengthSTD=2.011309883194276, max_deadweight=30969, max_deadweightSTD=3096.9, propeller_diameter=6.761165385916601, propeller_diameterSTD=0.20267047566705432, service_speed=10, service_speedSTD=0) for name, val in true_sc.iteritems(): assert_almost_equal(val, sc[name]) def test_betaloge(): assert_array_almost_equal(betaloge(3, arange(4)), np.array([np.inf, -1.09861229, -2.48490665, -3.40119738])) def test_gravity(): phi = linspace(0, 45, 5) assert_array_almost_equal(gravity(phi), np.array([9.78049, 9.78245014, 9.78803583, 9.79640552, 9.80629387])) def test_nextpow2(): assert_equal(nextpow2(10), 4) assert_equal(nextpow2(np.arange(5)), 3) def test_discretize(): x, y = discretize(np.cos, 0, np.pi) assert_array_almost_equal( x, np.array( [0., 0.19634954, 0.39269908, 0.58904862, 0.78539816, 0.9817477, 1.17809725, 1.37444679, 1.57079633, 1.76714587, 1.96349541, 2.15984495, 2.35619449, 2.55254403, 2.74889357, 2.94524311, 3.14159265])) assert_array_almost_equal( y, np.array([1.00000000e+00, 9.80785280e-01, 9.23879533e-01, 8.31469612e-01, 7.07106781e-01, 5.55570233e-01, 3.82683432e-01, 1.95090322e-01, 6.12323400e-17, -1.95090322e-01, -3.82683432e-01, -5.55570233e-01, -7.07106781e-01, -8.31469612e-01, -9.23879533e-01, -9.80785280e-01, -1.00000000e+00])) def test_discretize_adaptive(): x, y = discretize(np.cos, 0, np.pi, method='adaptive') assert_array_almost_equal( x, np.array( [0., 0.19634954, 0.39269908, 0.58904862, 0.78539816, 0.9817477, 1.17809725, 1.37444679, 1.57079633, 1.76714587, 1.96349541, 2.15984495, 2.35619449, 2.55254403, 2.74889357, 2.94524311, 3.14159265])) assert_array_almost_equal( y, np.array( [1.00000000e+00, 9.80785280e-01, 9.23879533e-01, 8.31469612e-01, 7.07106781e-01, 5.55570233e-01, 3.82683432e-01, 1.95090322e-01, 6.12323400e-17, -1.95090322e-01, -3.82683432e-01, -5.55570233e-01, -7.07106781e-01, -8.31469612e-01, -9.23879533e-01, -9.80785280e-01, -1.00000000e+00])) def test_polar2cart_n_cart2polar(): r = 5 t = linspace(0, pi, 20) x, y = polar2cart(t, r) assert_array_almost_equal( x, np.array( [5., 4.93180652, 4.72908621, 4.39736876, 3.94570255, 3.38640786, 2.73474079, 2.00847712, 1.22742744, 0.41289673, -0.41289673, -1.22742744, -2.00847712, -2.73474079, -3.38640786, -3.94570255, -4.39736876, -4.72908621, -4.93180652, -5.])) assert_array_almost_equal( y, np.array( [0.00000000e+00, 8.22972951e-01, 1.62349735e+00, 2.37973697e+00, 3.07106356e+00, 3.67861955e+00, 4.18583239e+00, 4.57886663e+00, 4.84700133e+00, 4.98292247e+00, 4.98292247e+00, 4.84700133e+00, 4.57886663e+00, 4.18583239e+00, 3.67861955e+00, 3.07106356e+00, 2.37973697e+00, 1.62349735e+00, 8.22972951e-01, 6.12323400e-16])) ti, ri = cart2polar(x, y) assert_array_almost_equal( ti, np.array( [0., 0.16534698, 0.33069396, 0.49604095, 0.66138793, 0.82673491, 0.99208189, 1.15742887, 1.32277585, 1.48812284, 1.65346982, 1.8188168, 1.98416378, 2.14951076, 2.31485774, 2.48020473, 2.64555171, 2.81089869, 2.97624567, 3.14159265])) assert_array_almost_equal( ri, np.array( [5., 5., 5., 5., 5., 5., 5., 5., 5., 5., 5., 5., 5., 5., 5., 5., 5., 5., 5., 5.])) def test_tranproc(): import wafo.transform.models as wtm tr = wtm.TrHermite() x = linspace(-5, 5, 501) g = tr(x) y0, y1 = tranproc(x, g, range(5), ones(5)) assert_array_almost_equal( y0, np.array([0.02659612, 1.00115284, 1.92872532, 2.81453257, 3.66292878])) assert_array_almost_equal( y1, np.array([1.00005295, 0.9501118, 0.90589954, 0.86643821, 0.83096482])) if __name__ == '__main__': run_module_suite()