From a75357e4eb0c95907c2b2114042daf4c2aaf8322 Mon Sep 17 00:00:00 2001 From: madsmpedersen <m@madsp.dk> Date: Thu, 5 Nov 2015 13:33:10 +0100 Subject: [PATCH] geometry + tests --- README.md | 1 + wetb/functions/geometry.py | 198 ++++++++++++++++++ wetb/functions/tests/__init__.py | 0 .../tests/test_files/SonicDataset.hdf5 | Bin 0 -> 1354608 bytes wetb/functions/tests/test_geometry.py | 106 ++++++++++ 5 files changed, 305 insertions(+) create mode 100644 wetb/functions/geometry.py create mode 100644 wetb/functions/tests/__init__.py create mode 100644 wetb/functions/tests/test_files/SonicDataset.hdf5 create mode 100644 wetb/functions/tests/test_geometry.py diff --git a/README.md b/README.md index 82f8160..c9a0e05 100644 --- a/README.md +++ b/README.md @@ -17,4 +17,5 @@ General Time Series Data Format, a binary hdf5 data format for storing time seri ### [functions](wetb/functions) Other functions +- [geometry](wetb/functions/geometry.py): Different kind of geometry conversion functions - [process_exec](wetb/functions/process_exec.py): Run system command in subprocess diff --git a/wetb/functions/geometry.py b/wetb/functions/geometry.py new file mode 100644 index 0000000..1f093bb --- /dev/null +++ b/wetb/functions/geometry.py @@ -0,0 +1,198 @@ +import numpy as np + +def rad(deg): + return deg * np.pi / 180 + +def deg(rad): + return rad / np.pi * 180 + +def sind(dir_deg): + return np.sin(rad(dir_deg)) + +def cosd(dir_deg): + return np.cos(rad(dir_deg)) + +def tand(dir_deg): + return np.tan(rad(dir_deg)) + +def mean_deg(dir): + """Mean of angles in degrees + + Parameters + ---------- + dir : array_like + Angles in degrees + + Returns + ------- + mean_deg : float + Mean angle + """ + return deg(np.arctan2(np.mean(sind(dir[:])), np.mean(cosd(dir[:])))) + +def std_deg(dir): + """Standard deviation of angles in degrees + + Parameters + ---------- + dir : array_like + Angles in degrees + + Returns + ------- + std_deg : float + standard deviation + """ + return deg(np.sqrt(1 - (np.mean(sind(dir)) ** 2 + np.mean(cosd(dir)) ** 2))) + + +def wsp_dir2uv(wsp, dir, dir_ref=None): + """Convert horizontal wind speed and direction to u,v + + Parameters + ---------- + wsp : array_like + Horizontal wind speed + dir : array_like + Wind direction + dir_ref : int or float, optional + Reference direction\n + If None, default, the mean direction is used as reference + + Returns + ------- + u : array_like + u wind component + v : array_like + v wind component + """ + if dir_ref is None: + dir = dir[:] - mean_deg(dir[:]) + else: + dir = dir[:] - dir_ref + u = np.cos(rad(dir)) * wsp[:] + v = -np.sin(rad(dir)) * wsp[:] + return np.array([u, v]) + +def wsp_dir_tilt2uvw(wsp, dir, tilt, wsp_horizontal, dir_ref=None): + """Convert horizontal wind speed and direction to u,v,w + + Parameters + ---------- + wsp : array_like + - if wsp_horizontal is True: Horizontal wind speed, $\sqrt{u^2+v^2}\n + - if wsp_horizontal is False: Wind speed, $\sqrt{u^2+v^2+w^2} + dir : array_like + Wind direction + tilt : array_like + Wind tilt + wsp_horizontal : bool + See wsp + dir_ref : int or float, optional + Reference direction\n + If None, default, the mean direction is used as reference + + + Returns + ------- + u : array_like + u wind component + v : array_like + v wind component + w : array_like + v wind component + """ + wsp, dir, tilt = wsp[:], dir[:], tilt[:] + if wsp_horizontal: + w = tand(tilt) * wsp + u, v = wsp_dir2uv(wsp, dir, dir_ref) + else: + w = sind(tilt) * wsp + u, v = wsp_dir2uv(np.sqrt(wsp ** 2 - w ** 2), dir, dir_ref) + return np.array([u, v, w]) + + + +def xyz2uvw(x, y, z, left_handed=True): + """Convert sonic x,y,z measurements to u,v,w wind components + + Parameters + ---------- + x : array_like + Sonic x component + y : array_like + Sonic x component + z : array_like + Sonic x component + left_handed : boolean + if true (default), xyz are defined in left handed coodinate system (default for some sonics) + if false, xyz are defined in normal right handed coordinate system + + Returns + ------- + u : array_like + u wind component + v : array_like + v wind component + w : array_like + w wind component + """ + x, y, z = map(np.array, [x, y, z]) + if left_handed: + y *= -1 + theta = deg(np.arctan2(np.mean(y), np.mean(x))) + SV = cosd(theta) * y - sind(theta) * x + SUW = cosd(theta) * x + sind(theta) * y + + #% rotation around y of tilt + tilt = deg(np.arctan2(np.mean(z), np.mean(SUW))) + SU = SUW * cosd(tilt) + z * sind(tilt); + SW = z * cosd(tilt) - SUW * sind(tilt); + + return np.array([SU, SV, SW]) + +def rpm2rads(rpm): + return rpm * 2 * np.pi / 60 + + +def abvrel2xyz(alpha, beta, vrel): + """Convert pitot tube alpha, beta and relative velocity to local Cartesian wind speed velocities + + Parameters + ---------- + alpha : array_like + Pitot tube angle of attack + beta : array_like + Pitot tube side slip angle + vrel : array_like + Pitot tube relative velocity + + Returns + ------- + x : array_like + Wind component towards pitot tube (positive for postive vrel and -90<beta<90) + y : array_like + Wind component in alpha plane (positive for positive alpha) + z : array_like + Wind component in beta plane (positive for positive beta) + """ + alpha = np.array(alpha, dtype=np.float) + beta = np.array(beta, dtype=np.float) + vrel = np.array(vrel, dtype=np.float) + + sign_vsx = -((np.abs(beta) > np.pi / 2) * 2 - 1) # +1 for |beta| <= 90, -1 for |beta|>90 + sign_vsy = np.sign(alpha) #+ for alpha > 0 + sign_vsz = -np.sign(beta) #- for beta>0 + + + x = sign_vsx * np.sqrt(vrel ** 2 / (1 + np.tan(alpha) ** 2 + np.tan(beta) ** 2)) + + m = alpha != 0 + y = np.zeros_like(alpha) + y[m] = sign_vsy * np.sqrt(vrel[m] ** 2 / ((1 / np.tan(alpha[m])) ** 2 + 1 + (np.tan(beta[m]) / np.tan(alpha[m])) ** 2)) + + m = beta != 0 + z = np.zeros_like(alpha) + z[m] = sign_vsz * np.sqrt(vrel[m] ** 2 / ((1 / np.tan(beta[m])) ** 2 + 1 + (np.tan(alpha[m]) / np.tan(beta[m])) ** 2)) + + return x, y, z diff --git a/wetb/functions/tests/__init__.py 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zK0l>={11j!iT>wYP5$V<!?{jHFy3Hy`oG!_{ydQSbL*c$Pr3d!d_v|Q(H)a#OL-}O zD2k^D7-xxxAM*UOoj=?9OY7$g2aEpt&7k~d>1(<De-AwQG5=-#>OY#lLl3l{IkcJN z505-c{^Y9PYMc=J6~_y|+kepc19;!J?Ju2wI9jehi7t4P{6V&Wae`pHAx`G>k9JI? zecb+EH0lYqFWPe)@zJ|GxXukI<@dl-1dMa6AO7=;<%Jz5l-n=pw^8)hVg>olx6^pe zQTaXa<S(<Io`2^01>$IhvGSaM3;E;8-;h5ZH|SI9NBiHe_S;pw@c%mhD$U<*{ks1U z-z5D%T)4*Rf4S;k@zfvYJH)I0)c)a<BSe4O=Mf(SO}@*?zf7J_Q~)phuKkEZdi??8 bhw3joN}m515B@;-$4_9M4{*-^cM1Q0!KPvs literal 0 HcmV?d00001 diff --git a/wetb/functions/tests/test_geometry.py b/wetb/functions/tests/test_geometry.py new file mode 100644 index 0000000..94a33ba --- /dev/null +++ b/wetb/functions/tests/test_geometry.py @@ -0,0 +1,106 @@ +''' +Created on 15/01/2014 + +@author: MMPE +''' +import unittest + +import wetb.gtsdf +import numpy as np +from wetb.functions.geometry import rad, deg, mean_deg, sind, cosd, std_deg, xyz2uvw, \ + wsp_dir2uv, wsp_dir_tilt2uvw, tand + + +class Test(unittest.TestCase): + + + def test_rad(self): + self.assertEqual(rad(45), np.pi / 4) + self.assertEqual(rad(135), np.pi * 3 / 4) + + + def test_deg(self): + self.assertEqual(45, deg(np.pi / 4)) + self.assertEqual(135, deg(np.pi * 3 / 4)) + + def test_rad_deg(self): + for i in [15, 0.5, 355, 400]: + self.assertEqual(i, deg(rad(i)), i) + + def test_sind(self): + self.assertAlmostEqual(sind(30), .5) + + def test_cosd(self): + self.assertAlmostEqual(cosd(60), .5) + + def test_tand(self): + self.assertAlmostEqual(tand(30), 0.5773, 3) + + + def test_mean_deg(self): + self.assertEqual(mean_deg(np.array([0, 90])), 45) + self.assertAlmostEqual(mean_deg(np.array([350, 10])), 0) + + def test_std_deg(self): + self.assertEqual(std_deg(np.array([0, 0, 0])), 0) + self.assertAlmostEqual(std_deg(np.array([0, 90, 180, 270])), 57.296, 2) + + def test_wspdir2uv(self): + u, v = wsp_dir2uv(np.array([1, 1, 1]), np.array([30, 0, 330])) + np.testing.assert_array_almost_equal(u, [0.8660, 1, 0.8660], 3) + np.testing.assert_array_almost_equal(v, [-0.5, 0, 0.5], 3) + + def test_wspdir2uv_dir_ref(self): + u, v = wsp_dir2uv(np.array([1, 1, 1]), np.array([30, 0, 330]), 30) + np.testing.assert_array_almost_equal(u, [1, 0.8660, .5], 3) + np.testing.assert_array_almost_equal(v, [0, 0.5, .8660], 3) + + def test_xyz2uvw(self): + u, v, w = xyz2uvw([1, 1, 0], [0, 1, 1], 0, left_handed=False) + np.testing.assert_almost_equal(u, [np.sqrt(1 / 2), np.sqrt(2), np.sqrt(1 / 2)]) + np.testing.assert_almost_equal(v, [-np.sqrt(1 / 2), 0, np.sqrt(1 / 2)]) + + + u, v, w = xyz2uvw([1, 1, 0], [0, 1, 1], 0, left_handed=True) + np.testing.assert_almost_equal(u, [np.sqrt(1 / 2), np.sqrt(2), np.sqrt(1 / 2)]) + np.testing.assert_almost_equal(v, [np.sqrt(1 / 2), 0, -np.sqrt(1 / 2)]) + + u, v, w = xyz2uvw(np.array([-1, -1, -1]), np.array([-0.5, 0, .5]), np.array([0, 0, 0]), left_handed=False) + np.testing.assert_array_almost_equal(u, np.array([1, 1, 1])) + np.testing.assert_array_almost_equal(v, np.array([.5, 0, -.5])) + np.testing.assert_array_almost_equal(w, np.array([0, 0, 0])) + + u, v, w = xyz2uvw(np.array([.5, cosd(30), 1]), np.array([sind(60), sind(30), 0]), np.array([0, 0, 0]), left_handed=False) + np.testing.assert_array_almost_equal(u, np.array([sind(60), 1, sind(60)])) + np.testing.assert_array_almost_equal(v, np.array([.5, 0, -.5])) + np.testing.assert_array_almost_equal(w, np.array([0, 0, 0])) + + u, v, w = xyz2uvw(np.array([.5, cosd(30), 1]), np.array([0, 0, 0]), np.array([sind(60), sind(30), 0]), left_handed=False) + np.testing.assert_array_almost_equal(u, np.array([sind(60), 1, sind(60)])) + np.testing.assert_array_almost_equal(v, np.array([0, 0, 0])) + np.testing.assert_array_almost_equal(w, np.array([.5, 0, -.5])) + + + def test_wspdir2uv2(self): + time, data, info = wetb.gtsdf.load("test_files/SonicDataset.hdf5") + stat, x, y, z, temp, wsp, dir, tilt = data[2:3].T #xyz is left handed + np.testing.assert_array_almost_equal(xyz2uvw(*wsp_dir2uv(wsp, dir), z=0), xyz2uvw(x, y, 0)) + + def test_wspdirtil2uvw(self): + time, data, info = wetb.gtsdf.load("test_files/SonicDataset.hdf5") + stat, x, y, z, temp, wsp, dir, tilt = data[3:6].T #xyz is left handed + wsp = np.sqrt(wsp ** 2 + z ** 2) + np.testing.assert_array_almost_equal(xyz2uvw(*wsp_dir_tilt2uvw(wsp, dir, tilt, wsp_horizontal=False), left_handed=False), xyz2uvw(x, y, z)) + + def test_wspdirtil2uvw_horizontal_wsp(self): + time, data, info = wetb.gtsdf.load("test_files/SonicDataset.hdf5") + stat, x, y, z, temp, wsp, dir, tilt = data[:].T #xyz is left handed + np.testing.assert_array_almost_equal(xyz2uvw(*wsp_dir_tilt2uvw(wsp, dir, tilt, wsp_horizontal=True), left_handed=False), xyz2uvw(x, y, z)) + + np.testing.assert_array_almost_equal(wsp_dir_tilt2uvw(wsp, dir, tilt, wsp_horizontal=True, dir_ref=180), np.array([x, -y, z]), 5) + np.testing.assert_array_almost_equal(xyz2uvw(*wsp_dir_tilt2uvw(wsp, dir, tilt, wsp_horizontal=True), left_handed=False), xyz2uvw(x, y, z)) + + +if __name__ == "__main__": + #import sys;sys.argv = ['', 'Test.test_rad'] + unittest.main() -- 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