From 7f06d5184744f4c512997a13a5fba19abac8a05e Mon Sep 17 00:00:00 2001 From: El Hadi Moussi Date: Fri, 9 Aug 2024 15:22:50 +0200 Subject: [PATCH] Suppress useless test file --- test_compute_torus.py | 2033 ----------------------------------------- 1 file changed, 2033 deletions(-) delete mode 100644 test_compute_torus.py diff --git a/test_compute_torus.py b/test_compute_torus.py deleted file mode 100644 index 9953c6d7d..000000000 --- a/test_compute_torus.py +++ /dev/null @@ -1,2033 +0,0 @@ -import numpy as np -import scipy as sp -import scipy.linalg - - -def compute_PCA(X, n_components=1): - X_meaned = X - np.mean(X, axis=0) - cov_mat = np.cov(X_meaned, rowvar=False) - eigen_values, eigen_vectors = np.linalg.eigh(cov_mat) - # sort the eigenvalues in descending order - sorted_index = np.argsort(eigen_values)[::-1] - sorted_eigenvalue = eigen_values[sorted_index] - # similarly sort the eigenvectors - sorted_eigenvectors = eigen_vectors[:, sorted_index] - eigenvector_subset = sorted_eigenvectors[:, 0:n_components] - return eigenvector_subset.T - - -def fitPlane3D(points): - pca = compute_PCA(points, n_components=3) - normal = pca[2] - affine_point = np.mean(points @ normal) - return normal, affine_point - - -def fitCircle2D(points, pp, bb): - A = np.ones((points.shape[0], 3)) - B = np.zeros((points.shape[0])) - A[:, 0] = points[:, 0] - A[:, 1] = points[:, 1] - B = points[:, 0] ** 2 + points[:, 1] ** 2 - print(np.abs(B - bb).max()) - fit, residual, rnk, s = np.linalg.lstsq(A, B, rcond=None) - print(fit, residual, rnk, s) - a, b, c = fit - xc = a / 2 - yc = b / 2 - r = np.sqrt(4 * c + a**2 + b**2) / 2 - return np.array([xc, yc]), r - - -def gram_schmidt(v1, v2): - u1 = v1 / np.linalg.norm(v1) # Normalisation de v1 - u2 = v2 - np.dot(u1, v2) * u1 # Projection de v2 sur u1 - u2 = u2 / np.linalg.norm(u2) # Normalisation de u2 - return u1, u2 - - -def get_normal_plane_vectors(v): - # Normalisation du vecteur v - v_normalized = v / np.linalg.norm(v) - # Construction d'une matrice à partir du vecteur normalisé - v_matrix = np.array([v_normalized]) - # Calcul de l'espace nul de la matrice - null_space_matrix = sp.linalg.null_space(v_matrix) - # Sélection de deux vecteurs indépendants de l'espace nul - u1 = null_space_matrix[:, 0] - u2 = null_space_matrix[:, 1] - v1, v2 = gram_schmidt(u1, u2) - if np.cross(v1, v2) @ v < 0: # les vecteurs doivent former une base directe - v1 = -v1 - return v1, v2 - - -def compute_parameters_torus(k1, k2, coords, normals, mm, pp, bb): - var_1 = np.var(k1) - var_2 = np.var(k2) - if var_1 > var_2: - minor_curv = np.mean(k2) - else: - minor_curv = np.mean(k1) - minor_radius = 1 / minor_curv - major_radius_points = coords - normals * minor_radius - P_mean = np.mean(major_radius_points, axis=0) - major_radius_points = major_radius_points - P_mean - print(np.abs(major_radius_points - mm).max()) - normal, affine_point = fitPlane3D(major_radius_points) - u, v = get_normal_plane_vectors(normal) - p_matrix = np.array([u, v]).T - p_major_radius_points = major_radius_points @ p_matrix - print(np.abs(p_major_radius_points - pp).max()) - centre_2D, major_radius = fitCircle2D(p_major_radius_points, pp, bb) - centre = centre_2D[0] * u + centre_2D[1] * v + P_mean - parameters = {} - parameters.update( - { - "minor_radius": minor_radius, - "major_radius": major_radius, - "centre": centre, - } - ) - print(parameters) - - -def main(): - compute_parameters_torus( - np.array(K1), - np.array(K2), - np.array(COORDS), - np.array(NORMALS), - np.array(MM), - np.array(PP), - np.array(BB), - ) - - -BB = [ - 1.29988, - 1.32834, - 1.31073, - 1.30217, - 1.3004, - 1.32802, - 1.40886, - 1.38819, - 1.15329, - 1.33224, - 1.29239, - 1.23342, - 1.30238, - 1.36314, - 1.32608, - 1.25758, - 1.16688, - 1.13991, - 1.23348, - 1.18219, - 1.2203, - 1.25984, - 1.31467, - 1.29754, - 1.32701, - 1.37341, - 1.3835, - 1.39346, - 1.36699, - 1.38513, - 1.39164, - 1.37848, - 1.33759, - 1.40887, - 1.34163, - 1.33346, - 1.38385, - 1.22564, - 1.23029, - 1.30197, - 1.28674, - 1.368, - 1.3454, - 1.34928, - 1.30838, - 1.27381, - 1.24746, - 1.22588, - 1.21466, - 1.18031, - 1.08016, - 1.18529, - 1.23115, - 1.2101, - 1.22234, - 1.21161, - 1.18967, - 1.20307, - 1.23042, - 1.24136, - 1.25018, - 1.22214, - 1.268, - 1.33643, - 1.29568, - 1.28693, - 1.25032, - 1.01616, - 1.28119, - 1.24947, - 1.21533, - 1.24026, - 1.20846, - 1.26105, - 1.24038, - 1.27136, - 1.29468, - 1.28342, - 1.28925, - 1.29826, - 1.28555, - 1.29329, - 1.22736, - 1.2337, - 1.30764, - 1.32819, - 1.37281, - 1.40958, - 1.42911, - 1.42011, - 1.41975, - 1.38649, - 1.33099, - 1.28097, - 1.24976, - 1.2287, - 1.22615, - 1.21312, - 1.15805, - 1.10605, - 1.21257, - 1.28317, - 1.2835, - 1.26095, - 1.19331, - 1.27272, - 1.27796, - 1.27132, - 1.34219, - 1.37059, - 1.40964, - 1.44505, - 1.43081, - 1.40872, - 1.36834, - 1.30892, - 1.2686, - 1.26305, - 1.30879, - 1.27939, - 1.28073, - 1.31929, - 1.2598, - 1.22048, - 1.21601, - 1.1966, - 1.20778, - 1.1939, - 1.21448, - 1.23422, - 1.26638, - 1.23913, - 1.17684, - 1.23806, - 1.24665, - 1.24903, - 1.09784, - 1.22823, - 1.22897, - 1.2352, - 1.25402, - 1.21612, - 1.17462, - 1.10981, - 1.21096, - 1.2808, - 1.31638, - 1.37202, - 1.37594, - 1.39594, - 1.45298, - 1.38753, - 1.36049, - 1.36021, - 1.33335, - 1.33825, - 1.40989, - 1.43406, - 1.37539, - 1.40051, - 1.42711, - 1.41021, - 1.38393, - 1.40263, - 1.43309, - 1.36506, - 1.39896, - 1.3855, - 1.35028, - 1.37377, - 1.34695, - 1.35958, - 1.2953, - 1.31097, - 1.35788, - 1.31656, - 1.37928, - 1.28303, - 1.29909, - 1.26879, - 1.2514, - 1.25047, - 1.22388, - 1.23911, - 1.2314, - 1.22712, - 1.23376, - 1.21774, - 1.18743, - 1.19656, - 1.22343, - 1.24818, - 1.23516, - 1.23684, - 1.24645, - 1.27108, - 1.30362, - 1.34807, - 1.28548, - 1.39272, - 1.41669, - 1.37402, - 1.24369, - 1.33271, - 1.38335, - 1.28888, - 1.38451, - 1.37468, - 1.3168, - 1.20807, - 1.29194, - 1.3191, - 1.32651, - 1.31312, - 1.35904, - 1.3144, - 1.36248, - 1.43151, - 1.44124, - 1.36247, - 1.36509, - 1.39602, - 1.37578, - 1.36368, - 1.32171, - 1.29417, - 1.26564, - 1.28197, - 1.26516, - 1.22019, - 1.2104, - 1.18011, - 1.13635, - 1.18086, - 1.20877, - 1.20591, - 1.21808, - 1.21509, - 1.26505, - 1.30837, - 1.35343, - 1.3891, - 1.40041, - 1.31966, - 1.1857, - 1.21441, - 1.35452, - 1.31039, - 1.30165, - 1.34868, - 1.3405, - 1.30601, - 1.42104, - 1.41801, - 1.46154, - 1.38631, - 1.14847, - 1.37646, - 1.30515, - 1.32861, - 1.37463, - 1.3204, - 1.25174, - 1.25007, - 1.25577, - 1.23818, - 1.29151, - 1.28852, - 1.28247, - 1.33274, - 1.25059, - 1.27221, -] - - -MM = [ - [1.05218, 0.439126, 0.0275596], - [1.04785, 0.479983, 0.0294504], - [1.12058, 0.234585, -0.00338201], - [1.14104, 0.0127689, -0.0230176], - [1.10571, -0.278786, -0.0472263], - [1.07081, -0.425854, -0.0136113], - [0.973353, -0.679294, -0.00261489], - [0.640175, -0.98912, -0.00373311], - [0.422407, -0.987409, 0.0715977], - [-0.11622, -1.14838, 0.0373057], - [-0.550639, -0.994583, 0.0282317], - [-0.895716, -0.656575, 0.040941], - [-1.05574, -0.433309, 0.0359594], - [-1.01146, -0.583157, 0.0247077], - [-1.15094, 0.0372052, 0.0163754], - [-1.01934, 0.467392, 0.0344462], - [-0.83607, 0.683944, 0.0474789], - [-0.388598, 0.994402, 0.0386861], - [-0.376419, 1.04489, -0.00144792], - [-0.543529, 0.941692, -0.00744857], - [-0.842668, 0.714298, -0.00428732], - [-1.05887, 0.372359, -0.00547966], - [-1.13206, 0.181956, -0.0015887], - [-1.13864, -0.0321948, -0.00396496], - [-1.12858, -0.230919, -0.0113774], - [-1.00934, -0.595529, -0.00810085], - [-0.718267, -0.931445, -0.0117962], - [-0.385443, -1.11574, -0.0123723], - [-0.0539776, -1.16793, -0.0202157], - [0.105231, -1.17218, -0.0408898], - [0.410452, -1.10595, -0.0270756], - [0.606503, -1.00526, -0.0440616], - [0.785018, -0.849263, -0.0435556], - [0.78877, -0.886978, 0.00841919], - [0.871132, -0.763444, 0.0422807], - [0.95679, -0.646559, 0.0131272], - [0.866666, -0.795453, 0.00141778], - [0.847868, -0.711831, -0.0310192], - [0.479959, -0.999919, -0.0550382], - [-0.00704338, -1.14099, -0.0486256], - [-0.545948, -0.994314, -0.0562787], - [-0.729652, -0.914116, -0.0411991], - [-1.09297, -0.388389, -0.0242567], - [-1.14937, -0.168063, -0.0071695], - [-1.09596, 0.327538, -0.00916765], - [-0.825938, 0.769174, 0.00684957], - [-0.413614, 1.03749, 0.000622491], - [-0.312815, 1.06207, 0.0267459], - [0.268776, 1.06883, 0.0292164], - [0.392152, 1.01317, 0.0337524], - [0.415459, 0.952647, 0.0341705], - [0.220656, 1.06612, -0.00531312], - [0.477553, 1.00155, -0.00656638], - [0.704037, 0.845239, -0.0170485], - [0.669049, 0.880179, -0.0321375], - [0.421781, 1.01673, -0.0435539], - [0.130592, 1.0829, -0.0535263], - [-0.158514, 1.08535, -0.0333546], - [-0.383671, 1.0408, -0.0291968], - [-0.592747, 0.943422, -0.0185954], - [-0.782805, 0.798408, -0.030715], - [-0.933645, 0.592057, -0.0458696], - [-1.08669, 0.295286, -0.0471632], - [-1.14381, 0.167624, 0.0202696], - [-1.12565, 0.169003, 0.0224448], - [-1.1224, 0.164695, 0.00799367], - [-1.11346, 0.102613, -0.00635569], - [-0.87524, 0.500256, -0.0801847], - [-0.825179, 0.774767, 0.00149167], - [-0.57715, 0.95727, 0.00146035], - [-0.245189, 1.07481, 0.00174283], - [0.0715746, 1.11136, 0.00141126], - [0.475719, 0.991036, 0.00349609], - [0.54847, 0.979916, -0.00175501], - [0.759303, 0.814767, 0.0126634], - [0.905798, 0.671487, 0.00192825], - [1.03956, 0.462593, 0.000498079], - [1.10652, 0.243004, 0.00831135], - [1.13246, 0.0825571, 0.0249298], - [1.11721, -0.223999, 0.041278], - [1.1327, -0.0507068, 0.0136722], - [1.12516, -0.165256, 0.00246041], - [1.10166, 0.11705, -0.0100355], - [1.10996, 0.0405934, -0.029513], - [1.14152, -0.0674168, -0.0127305], - [1.0266, -0.523655, -0.0313335], - [0.701, -0.938803, -0.0317084], - [0.184108, -1.17288, -0.0215941], - [-0.00457635, -1.19544, 0.000479688], - [-0.586835, -1.03718, 0.0017773], - [0.40389, -1.12099, -0.00529045], - [0.894697, -0.765514, -0.000273007], - [1.14658, -0.127762, -0.00997137], - [1.01077, 0.509221, 0.00198446], - [0.589978, 0.94957, 0.0050153], - [0.0948726, 1.10441, -0.0152223], - [-0.459667, 1.00742, -0.0251474], - [0.0601388, 1.09978, -0.0186445], - [-0.0396568, 1.07542, -0.031587], - [0.552557, 0.894844, -0.0605588], - [0.639852, 0.896196, -0.0377235], - [1.06158, 0.395243, 0.00743376], - [1.12049, -0.167594, 0.0453045], - [1.11863, -0.0983217, 0.0254323], - [1.09233, 0.0119581, 0.0153559], - [1.03052, 0.459064, -0.0028931], - [1.04139, 0.439849, -0.000810073], - [1.04791, 0.41619, 0.00694441], - [1.12727, -0.267333, 0.00192907], - [0.870498, -0.782861, 0.0210384], - [0.430566, -1.10647, 0.0145657], - [-0.138371, -1.1941, -0.0235351], - [-0.120929, -1.19003, -0.00798896], - [0.589052, -1.0304, -0.00669611], - [1.00562, -0.597545, -0.00804835], - [1.14292, -0.0511787, -0.0212672], - [1.01783, 0.482296, -0.00862175], - [1.0124, 0.487948, -0.00419105], - [1.10109, 0.310459, -0.00117018], - [1.11781, 0.172919, 0.00343219], - [1.03052, 0.467714, 0.000731203], - [1.05078, 0.463836, -0.00942715], - [0.927494, 0.632111, 0.0114052], - [0.622723, 0.912519, 0.0428227], - [0.368572, 1.0393, 0.0268776], - [0.131449, 1.08594, 0.0507237], - [-0.116833, 1.09274, 0.0315559], - [-0.362512, 1.03073, 0.0528684], - [-0.598413, 0.925375, 0.0335415], - [-0.806751, 0.763742, 0.0389321], - [-0.975683, 0.560694, 0.0234728], - [0.711067, 0.856453, 0.00522918], - [0.698304, 0.830188, -0.0108496], - [0.843059, 0.726166, 0.00228899], - [0.27213, 1.08286, 0.000884279], - [0.0116246, 1.11754, -0.0001197], - [0.149865, 1.03701, -0.0203214], - [-0.20027, 1.09001, 0.00676326], - [-0.472005, 1.00308, 0.00833057], - [-0.703639, 0.860276, 0.00983825], - [-0.923985, 0.632659, 0.010136], - [-0.892113, 0.648345, -0.0490424], - [-0.52618, 0.947538, -0.0408892], - [-0.454733, 0.950303, -0.0271215], - [-1.09885, -0.0595824, -0.0416295], - [-1.09124, -0.300023, -0.0094494], - [-1.05459, -0.45189, 0.0055773], - [-0.934393, -0.706345, 0.00420015], - [-0.741821, -0.908647, 0.00347728], - [-0.442203, -1.09563, 0.00305888], - [-0.440351, -1.12208, -0.00519117], - [-0.533432, -1.05023, 0.0312364], - [-0.744989, -0.897486, 0.052304], - [-0.920372, -0.716316, 0.0324806], - [-1.04354, -0.494303, 0.0497827], - [-1.12861, -0.253905, 0.0229736], - [-0.919225, -0.751607, 0.00334249], - [-0.566044, -1.0553, 0.0277849], - [-0.306417, -1.13205, 0.0542941], - [-0.0585354, -1.182, 0.0251293], - [0.148655, -1.18533, 0.00308894], - [0.465147, -1.09264, 0.00454079], - [0.359912, -1.12002, 0.0296904], - [0.152287, -1.17452, 0.0348313], - [-0.181576, -1.18327, 0.00186421], - [-0.0541688, -1.1671, 0.00387793], - [-0.643362, -0.992493, 0.00806684], - [-0.847912, -0.816419, 0.00882942], - [-1.11133, -0.339428, 0.00792329], - [-1.00369, -0.60528, 0.00759492], - [-0.942388, -0.677389, -0.00297831], - [-1.06965, 0.464152, -0.000192445], - [-1.12914, -0.142646, 0.00580705], - [-1.06569, 0.418651, 0.00105227], - [-1.1625, -0.0804709, -0.000631652], - [-1.14585, -0.0593998, 0.0415459], - [-1.12885, -0.323918, 0.0451808], - [-1.06294, 0.39131, 0.0352204], - [-0.959726, 0.614781, 0.0314496], - [-0.61342, 0.944757, -0.0299485], - [-0.169997, 1.10566, 0.00355667], - [0.32253, 1.07073, -0.00887087], - [0.913211, 0.624429, -0.0192011], - [0.87408, 0.689269, -0.005635], - 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[8.21729, -3.91457, -8.42133], - [8.24873, -4.65949, -8.17943], - [8.74666, -4.20898, -8.17674], - [9.17584, -4.16579, -8.27532], - [8.71016, -4.90643, -8.28033], - [9.36222, -4.47138, -8.51686], - [8.73265, -5.28795, -8.58504], - [8.36404, -5.60852, -9.02], - [7.54018, -5.72121, -9.02], - [7.29081, -5.54842, -9.47861], - [6.85587, -5.34259, -9.54427], - [6.47252, -5.20188, -9.39721], - [6.26572, -4.86556, -9.5389], - [5.98505, -4.58995, -9.4019], - [5.93572, -4.20071, -9.54763], - [5.81917, -3.72382, -9.47279], - [6.14726, -3.49904, -9.76234], - [6.20615, -3.10271, -9.73281], - [6.47149, -2.88504, -9.79933], - [6.67462, -2.51198, -9.74836], - [7.15771, -2.21947, -9.73866], - [7.49, -2.51567, -9.86033], - [7.68398, -2.88407, -9.80282], - [7.72653, -3.14512, -9.63843], - [7.65011, -3.29507, -9.45402], - [6.99354, -3.30864, -9.78878], - [7.17375, -3.05875, -9.8027], - [7.4604, -3.39034, -9.4042], - [7.44938, -3.49966, -9.18179], - [7.39391, -3.6156, -9.04594], - [7.37512, -3.75899, -8.99327], - [7.4124, -3.88455, -9.09707], - [7.50261, -4.00354, -9.19962], - [7.28756, -3.73398, -9.39182], - [7.16158, -3.6145, -9.59259], - [6.96414, -3.85591, -9.75004], - [7.17441, -4.73743, -9.86297], - [6.87926, -4.463, -9.8609], - [7.45515, -4.0934, -9.45453], - [7.57417, -4.56878, -9.80543], - [7.80318, -4.12368, -9.41891], - [8.06683, -4.01939, -9.52276], - [7.86509, -4.84323, -9.8629], - [8.10042, -5.20919, -9.77159], - [8.54486, -5.14021, -9.70138], - [8.72929, -4.79936, -9.79213], - [8.35701, -4.09101, -9.76565], - [9.04054, -4.65031, -9.71191], - [8.8527, -3.96673, -9.86262], - [9.33277, -4.66289, -9.43009], - [9.53836, -4.48282, -9.02], - [9.27973, -3.83155, -9.73959], - [8.96315, -3.54227, -9.85275], - [8.96291, -3.1104, -9.82202], - [9.23635, -2.97828, -9.64669], - [9.15544, -2.53438, -9.43305], - [9.57796, -3.26749, -9.31634], - [9.42193, -2.88861, -8.677], - [9.58572, -3.23298, -8.77023], - [9.68577, -3.66446, -9.02], - [9.15625, -2.44519, -8.73391], - [8.97805, -2.19975, -9.02], -] - -K1 = [ - 1.19742, - 1.10354, - 1.14907, - 1.15043, - 1.22354, - 1.22235, - 1.13188, - 0.981901, - 1.03604, - 0.709188, - 1.09286, - 1.07003, - 1.26782, - 1.3122, - 1.26756, - 1.3689, - 1.15674, - 1.17528, - 1.28998, - 1.23027, - 1.12868, - 1.15578, - 1.25699, - 1.1553, - 1.17413, - 1.15094, - 1.15178, - 1.21847, - 1.2516, - 1.17151, - 1.17063, - 1.33213, - 1.18518, - 1.0682, - 1.17914, - 1.21917, - 1.2068, - 1.0939, - 1.13594, - 1.19896, - 1.12807, - 1.30628, - 1.21965, - 1.52805, - 1.20057, - 1.28683, - 1.29944, - 1.33911, - 1.28139, - 1.18256, - 1.10645, - 1.06408, - 1.0965, - 1.18692, - 1.10563, - 1.21843, - 1.22667, - 1.13631, - 1.20817, - 1.13895, - 1.19749, - 1.15447, - 1.18275, - 1.09933, - 1.18072, - 1.16824, - 0.99584, - 1.09059, - 1.01944, - 1.18948, - 1.03335, - 1.1381, - 1.03862, - 1.21733, - 1.2433, - 1.19621, - 1.13219, - 1.18533, - 1.15925, - 1.182, - 1.21103, - 1.10658, - 1.0942, - 1.17147, - 1.42773, - 1.30786, - 1.29743, - 1.31306, - 1.23611, - 1.3494, - 1.26301, - 1.28029, - 1.32776, - 1.1564, - 1.28499, - 1.14503, - 1.21632, - 1.147, - 1.50722, - 1.18236, - 1.31852, - 1.17454, - 1.24319, - 1.09401, - 1.18864, - 1.10312, - 0.931669, - 0.876142, - 1.2934, - 1.21907, - 1.30991, - 1.51383, - 1.09556, - 1.30842, - 1.29534, - 1.19195, - 0.962355, - 0.963581, - 1.25778, - 1.14618, - 1.08882, - 1.19339, - 1.24819, - 1.2945, - 1.17345, - 1.27354, - 1.1939, - 1.23823, - 1.13651, - 1.20865, - 1.20307, - 1.13204, - 1.11798, - 1.11248, - 1.21338, - 1.30081, - 1.05123, - 1.24533, - 1.23076, - 1.24697, - 1.21668, - 1.34948, - 1.06382, - 1.0813, - 1.27874, - 1.01942, - 1.12397, - 1.25103, - 1.16397, - 1.08262, - 1.30112, - 1.22445, - 1.26206, - 1.17346, - 1.26302, - 1.22153, - 1.0977, - 1.08502, - 1.29874, - 1.1887, - 1.17321, - 1.1826, - 1.17089, - 1.2635, - 1.20194, - 1.09826, - 1.21022, - 1.23322, - 1.18322, - 1.21803, - 1.12576, - 1.04465, - 1.09941, - 1.26061, - 1.19788, - 1.29197, - 1.10013, - 1.27175, - 1.09435, - 1.09918, - 1.08359, - 1.0781, - 1.2261, - 1.16435, - 1.25847, - 1.17829, - 1.24583, - 1.07368, - 1.12846, - 1.06213, - 1.22504, - 1.30253, - 1.4652, - 1.27216, - 1.2538, - 1.31984, - 1.22178, - 1.59261, - 1.36179, - 1.30396, - 1.36935, - 0.996679, - 1.21832, - 1.06071, - 1.33719, - 1.05711, - 1.01937, - 1.28109, - 1.19835, - 1.14849, - 1.22351, - 1.02332, - 1.07756, - 1.20856, - 1.21726, - 1.10843, - 1.20263, - 1.09455, - 1.09018, - 1.1698, - 1.09742, - 1.20776, - 1.10128, - 1.21941, - 1.10173, - 1.14295, - 1.22707, - 1.25119, - 1.15338, - 1.15773, - 1.1574, - 1.18209, - 1.16355, - 1.2526, - 1.20632, - 1.06499, - 1.08241, - 1.30988, - 1.30657, - 1.43131, - 1.2878, - 1.29887, - 1.35942, - 1.55406, - 1.24562, - 1.14184, - 1.13441, - 1.08653, - 1.24455, - 1.05094, - 1.32982, - 1.16057, - 1.03679, - 1.18101, - 1.25019, - 1.17951, - 1.03869, - 1.3036, - 1.02111, - 1.24628, - 1.06374, - 1.18218, - 1.11238, - 1.2232, - 1.10736, - 1.1374, - 1.26377, - 1.24702, - 1.34437, - 1.09683, - 1.25885, - 1.03085, -] -K2 = [ - 0.495172, - 0.456066, - 0.41051, - 0.483741, - 0.451438, - 0.335015, - 0.13779, - 0.0845594, - -0.625154, - -0.718537, - -0.614467, - -0.637731, - -1.56218, - -2.5706, - -2.85071, - -2.20399, - -1.17888, - -1.02953, - -0.445578, - 0.051206, - 0.0952012, - 0.114029, - -0.62022, - 0.0170489, - 0.307267, - 0.338932, - 0.345823, - 0.330729, - 0.308163, - 0.441216, - 0.502429, - 0.416836, - 0.479956, - 0.485236, - 0.440744, - 0.334737, - -0.0410915, - -0.455159, - -0.752267, - -1.04928, - -1.06893, - -2.29096, - -2.26737, - -3.1572, - -3.08108, - -3.20892, - -3.27129, - -2.89255, - -2.53226, - -1.5429, - -0.436992, - 0.108906, - 0.372582, - 0.322518, - 0.474249, - 0.456065, - 0.457558, - 0.482369, - 0.45976, - 0.491782, - 0.436978, - 0.442762, - 0.432519, - 0.478053, - 0.453599, - 0.223272, - -0.132486, - -0.689866, - 0.0370908, - 0.0362719, - 0.10264, - 0.163657, - 0.154541, - 0.372946, - 0.432424, - 0.319959, - 0.250292, - 0.368056, - 0.481423, - 0.406364, - 0.292489, - 0.0673104, - -0.29432, - -0.939232, - -1.927, - -2.18706, - -2.47478, - -2.65895, - -3.12768, - -3.2165, - -3.31111, - -3.16634, - -3.1795, - -2.78982, - -2.82076, - -2.61436, - -2.2993, - -1.76414, - -1.41035, - -1.06146, - -2.19168, - -2.71668, - -2.05913, - -0.924032, - -0.372202, - -0.0289572, - -0.472779, - -1.33054, - -2.76354, - -2.53466, - -2.94761, - -2.80399, - -3.08119, - -3.09044, - -2.86859, - -2.63001, - -1.46378, - -0.541119, - 0.523248, - 0.146024, - -0.0599811, - 0.406023, - 0.408329, - 0.460156, - 0.495234, - 0.446228, - 0.505498, - 0.42382, - 0.487574, - 0.421683, - 0.508657, - 0.294492, - -0.255401, - 0.144412, - 0.34611, - 0.370172, - -0.29446, - 0.330497, - 0.321012, - 0.303055, - 0.319245, - -1.94298, - -1.17325, - -0.470769, - -0.900235, - -0.145793, - 0.156298, - 0.109494, - 0.10749, - 0.1456, - 0.340028, - 0.495982, - 0.438926, - 0.499742, - 0.444352, - 0.518762, - 0.494655, - 0.479316, - 0.443408, - 0.500227, - 0.394569, - 0.330562, - 0.48503, - 0.451944, - 0.327074, - 0.12035, - 0.351572, - 0.359925, - 0.363342, - 0.361338, - -0.130087, - 0.0808711, - 0.204982, - 0.366471, - 0.412965, - 0.457275, - 0.482909, - 0.458812, - 0.485696, - 0.494342, - 0.477924, - 0.4715, - 0.312006, - 0.135443, - 0.392, - 0.343122, - 0.354555, - 0.083377, - -0.373596, - -0.99949, - -2.46905, - -3.16248, - -3.25642, - -3.24827, - -3.01846, - -2.82295, - -2.46904, - -1.7479, - -1.72326, - -2.94808, - -2.84588, - -1.33981, - -0.83769, - -0.344284, - -2.09224, - -0.34194, - -0.169117, - -1.71205, - -1.37899, - -0.428884, - -1.12172, - 0.0145813, - 0.0721618, - 0.314444, - 0.301532, - 0.475807, - 0.452342, - 0.49173, - 0.481624, - 0.437383, - 0.488331, - 0.419365, - 0.50285, - 0.417895, - 0.472651, - 0.448635, - 0.294955, - 0.347867, - 0.331375, - 0.349691, - 0.370979, - 0.0744396, - -0.476447, - -1.13098, - -1.83794, - -0.380967, - -0.380265, - -2.09781, - -2.89157, - -3.2824, - -3.26186, - -3.17371, - -2.93098, - -2.45546, - -1.26459, - -0.664481, - 0.0233179, - -0.0243138, - -1.74989, - -0.359187, - -1.86717, - -1.40881, - 0.0160553, - 0.310217, - 0.373326, - 0.344446, - -0.388131, - 0.349189, - 0.100287, - 0.429005, - 0.464987, - 0.349951, - 0.130455, - 0.246086, - 0.425423, - 0.423052, - 0.475293, - 0.513705, - 0.534168, - 0.49863, - 0.471324, - 0.499803, -] - -if __name__ == "__main__": - main() -- 2.39.2