From 078b650406895f0d5e068072143175f5da35b1bd Mon Sep 17 00:00:00 2001 From: "Marco A. Lopez-Sanchez" Date: Thu, 20 Jun 2024 23:16:38 +0200 Subject: [PATCH] Update test_christoffel.ipynb --- src/test_christoffel.ipynb | 166 +++++++++++++++++++++++++++++++------ 1 file changed, 139 insertions(+), 27 deletions(-) diff --git a/src/test_christoffel.ipynb b/src/test_christoffel.ipynb index 7ad9060..8a8bc69 100644 --- a/src/test_christoffel.ipynb +++ b/src/test_christoffel.ipynb @@ -4,9 +4,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Demonstration of the functionality of the ``christoffel`` module\n", - "\n", - "TODO" + "# Testing the functions of the ``christoffel`` module" ] }, { @@ -17,9 +15,11 @@ "source": [ "# import some general scientific Python libraries\n", "import numpy as np\n", + "import matplotlib.pyplot as plt\n", "\n", "# import required PyRockWave modules\n", - "import christoffel as ch" + "import christoffel as ch\n", + "import coordinates as c" ] }, { @@ -43,15 +43,6 @@ "cell_type": "code", "execution_count": 3, "metadata": {}, - "outputs": [], - "source": [ - "scaling_factor = 1 / density" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, "outputs": [ { "data": { @@ -59,19 +50,27 @@ "(3, 3, 3, 3)" ] }, - "execution_count": 4, + "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "# test rearrange_tensor function\n", "Cijkl = ch._rearrange_tensor(Cij)\n", "Cijkl.shape" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test using one wavevector" + ] + }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [ { @@ -82,12 +81,15 @@ " [ 0. , 0. , 11.19276427]])" ] }, - "execution_count": 5, + "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "scaling_factor = 1 / density\n", + "\n", + "# test christoffel_matrix() function\n", "Mij = ch._christoffel_matrix(wavevector=np.array([1,0,0]), Cijkl=Cijkl)\n", "Mij = Mij * scaling_factor\n", "Mij" @@ -95,16 +97,30 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "((3,), (3, 3))" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "eigenvalues, eigenvectors = ch._calc_eigen(Mij) # eigenvalues (3,), eigenvectors (3,3)" + "# test calc_eigen() function\n", + "eigenvalues, eigenvectors = ch._calc_eigen(Mij) # eigenvalues (3,), eigenvectors (3,3)\n", + "\n", + "eigenvalues.shape, eigenvectors.shape" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -113,12 +129,13 @@ "array([3.34555889, 3.34555889, 4.73133475])" ] }, - "execution_count": 7, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ + "# test calc_phase_velocities() function\n", "ch.calc_phase_velocities(eigenvalues) # (Vs2, Vs1, Vp)" ] }, @@ -131,7 +148,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -140,7 +157,7 @@ "array([2.47466911, 3.34555889, 5.23968564])" ] }, - "execution_count": 8, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" } @@ -153,18 +170,113 @@ "ch.calc_phase_velocities(eigenvalues) # (Vs2, Vs1, Vp)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Test using multiple wavevectors (vectorized operations with no loops)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0. , 0.36041232, 0.41166054, 0.4574904 , 0.49940021,\n", + " 0.53831045, 0.57483455, 0.60940553, 0.64234258, 0.673889 ,\n", + " 0.70423529, 0.73353399, 0.7619095 , 0.78946486, 0.81628664,\n", + " 0.84244837, 0.86801323, 0.89303596, 0.9175644 , 0.94164069,\n", + " 0.96530219, 0.98858224, 1.01151077, 1.03411478, 1.05641876,\n", + " 1.07844503, 1.10021403, 1.12174454, 1.14305391, 1.16415821,\n", + " 1.18507239, 1.20581041, 1.22638536, 1.24680954, 1.26709457,\n", + " 1.28725142, 1.30729055, 1.32722191, 1.34705502, 1.366799 ,\n", + " 1.38646266, 1.40605447, 1.42558267, 1.44505525, 1.46448001,\n", + " 1.48386457, 1.50321644, 1.52254299, 1.54185152, 1.56114925])" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "azimuths, polar = c.equispaced_S2_grid(n=50, hemisphere='upper')\n", + "\n", + "polar" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "> Need to refactor ``sph2cart()`` so that it returns a Numpy array of shape (1,3,n) !!!" + ] + }, { "cell_type": "code", "execution_count": 9, "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# convert from spherical to 3d cartesian\n", + "cartesian_coordinates = c.sph2cart(azimuths, polar)\n", + "\n", + "# plot\n", + "fig, ax = plt.subplots(subplot_kw={\"projection\": \"3d\"}, constrained_layout=True)\n", + "ax.scatter(cartesian_coordinates[0], cartesian_coordinates[1], cartesian_coordinates[2])\n", + "ax.axis('equal')\n", + "_ = ax.set_xlabel(r'$x$'), ax.set_ylabel(r'$y$'), ax.set_zlabel(r'$z$')" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "ename": "TypeError", + "evalue": "array() takes from 1 to 2 positional arguments but 3 were given", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mTypeError\u001b[0m Traceback (most recent call last)", + "Cell \u001b[1;32mIn[16], line 1\u001b[0m\n\u001b[1;32m----> 1\u001b[0m test \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39marray(cartesian_coordinates[\u001b[38;5;241m0\u001b[39m][\u001b[38;5;241m15\u001b[39m], cartesian_coordinates[\u001b[38;5;241m1\u001b[39m][\u001b[38;5;241m15\u001b[39m], cartesian_coordinates[\u001b[38;5;241m2\u001b[39m][\u001b[38;5;241m15\u001b[39m])\n\u001b[0;32m 3\u001b[0m ch\u001b[38;5;241m.\u001b[39m_normalize_vector(test)\n", + "\u001b[1;31mTypeError\u001b[0m: array() takes from 1 to 2 positional arguments but 3 were given" + ] + } + ], + "source": [ + "test = np.array(cartesian_coordinates[0][15], cartesian_coordinates[1][15], cartesian_coordinates[2][15])\n", + "\n", + "ch._normalize_vector(test)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Notebook tested in 2023-07-27 using:\n", - "Python 3.10.12 | packaged by Anaconda, Inc. | (main, Jul 5 2023, 19:09:20) [MSC v.1916 64 bit (AMD64)]\n", - "Numpy 1.25.0\n" + "Notebook tested in 2024-06-20 using:\n", + "Python 3.11.5 | packaged by Anaconda, Inc. | (main, Sep 11 2023, 13:16:22) [MSC v.1916 64 bit (AMD64)]\n", + "Numpy 1.26.4\n" ] } ], @@ -195,7 +307,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.12" + "version": "3.11.5" }, "orig_nbformat": 4 },