{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import scipy as sc" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "## Global parameters\n", "N = 100\n", "space_range = [-1, 1]\n", "center = np.array([0, 0, 0])\n", "r0 = 0.7" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def create_mesh(n_side, space_range) -> tuple[np.ndarray, tuple[np.ndarray, np.ndarray, np.ndarray]]:\n", " x = np.linspace(space_range[0], space_range[1], n_side)\n", " y = np.linspace(space_range[0], space_range[1], n_side)\n", " z = np.linspace(space_range[0], space_range[1], n_side)\n", " mesh = np.zeros((n_side, n_side, n_side))\n", " return mesh, np.meshgrid(x, y, z)\n", "\n", "def show_mesh(grid, mesh, title='Mesh'):\n", " fig = plt.figure()\n", " ax = fig.add_subplot(111, projection='3d')\n", " ax.scatter(grid[0], grid[1], grid[2], c=mesh, alpha=0.2, s=1)\n", " ax.set_title(title)\n", " plt.show()\n", "\n", "def show_mesh_2d(mesh, title='Mesh'):\n", " fig = plt.figure()\n", " axs = fig.subplots(1, 3)\n", " im = axs[0].imshow(np.sum(mesh, axis=0))\n", " axs[0].imshow(np.sum(mesh, axis=0))\n", " axs[1].imshow(np.sum(mesh, axis=1))\n", " axs[2].imshow(np.sum(mesh, axis=2))\n", " fig.colorbar(im, ax=axs, orientation='horizontal', fraction=0.02, pad=0.1)\n", " plt.show()\n", "\n", "\n", "def density_distribution(grid, mesh, center):\n", " radial_distance = np.linalg.norm(grid - center[:, None, None, None], axis=0)\n", " # radial_distance = np.sqrt((grid[0] - center[0])**2 + (grid[1] - center[1])**2 + (grid[2] - center[2])**2)\n", " n = mesh.shape[0]//3\n", " distance_steps = np.linspace(0, np.max(radial_distance), n)\n", " density = np.zeros(n)\n", "\n", " for i in range(1, n):\n", " d_inner = distance_steps[i-1]\n", " d_outer = distance_steps[i]\n", " mask_outer = radial_distance < d_outer\n", " mask_inner = radial_distance > d_inner\n", " volume = 4/3 * np.pi * (d_outer**3 - d_inner**3)\n", " # print(f'Calculating density for distance {d_inner}-{d_outer}')\n", " # show_mesh(grid, mask_outer & mask_inner, title=f'{d_inner}-{d_outer}')\n", " density[i-1] = np.sum(mesh[mask_outer & mask_inner]) / volume\n", "\n", " return distance_steps, density\n", "\n", "def plot_distribution(x, y, title='Density distribution'):\n", " plt.plot(x, y)\n", " plt.vlines(r0, np.min(y), np.max(y), colors='r', linestyles='dashed')\n", " plt.xlabel('Distance')\n", " plt.title(title)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mesh, grid = create_mesh(N, space_range)\n", "# show_mesh(grid, mesh, 'Initial mesh')\n", "\n", "# linalg.norm does not work here, because we want to do it matrix-wise\n", "radial_distance = np.sqrt((grid[0] - center[0])**2 + (grid[1] - center[1])**2 + (grid[2] - center[2])**2)\n", "\n", "mesh[radial_distance < r0] = 1\n", "\n", "# show_mesh(grid, mesh, 'Mesh after applying the condition')\n", "show_mesh_2d(mesh)\n", "\n", "\n", "distance_steps, density = density_distribution(grid, mesh, center)\n", "plot_distribution(distance_steps, density, 'Density distribution')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Construct the mesh and grid of the fourier space mapped quantities\n", "rho_k = np.fft.fftn(mesh)\n", "k = np.fft.fftfreq(N, d=(space_range[1] - space_range[0]) / N)\n", "kx, ky, kz = np.meshgrid(k, k, k)\n", "\n", "# print(rho_k.shape, kx.shape, ky.shape, kz.shape)\n", "\n", "# apply the poisson equation in fourier space\n", "k_abs = np.sqrt(kx**2 + ky**2 + kz**2)\n", "# intermediately set this to one and later on set the result back to zero\n", "k_corrected = np.where(k_abs == 0, 1, k_abs)\n", "phi_k = - rho_k * (4 * np.pi / k_corrected**2)\n", "phi_k[k_abs == 0] = 0\n", "\n", "# transform back to real space\n", "phi = np.fft.ifftn(phi_k)\n", "show_mesh(grid, np.real(phi), 'Potential')\n", "show_mesh_2d(np.real(phi), 'Potential')\n", "\n", "distance_steps, phi_d = density_distribution(grid, np.real(phi), center)\n", "plot_distribution(distance_steps, phi_d, 'Potential distribution')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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SAgICkJmZiYMHD+Lq1as4efKkwbVHRERg4cKFeP/99xEUFAQ3N7dKf+EDqPG2s7S0xPvvv49nnnkG3bt3x8iRI5GcnIylS5fes8/L+fPn0aNHD4wYMQItWrSAhYUF1q9fj8zMTIwaNcrgbauOpk2bYuLEiThy5Ajc3d3x/fffIzMzE0uXLtUt07t3b/j4+GDixImYPn06zM3N8f3330OpVCI1NVVvfdWtzdLSEnPmzMGECRPQtWtXjB49WjdU2s/PDy+//PJ9bQ+ZKGkGOREZbsCAAcLKykoUFhbedZmYmBhhaWkpsrOzdcNS7zQMFf8Zwnv16lUxePBg4eTkJBwdHcXw4cPFtWvXKi13p6GiFdasWSMAiKeffvqOtSUkJIguXboIa2trAUA3bPpu69y0aZPo3LmzsLa2Fg4ODqJDhw5i1apVutfPnj0revbsKezs7ISrq6uYNGmSOHnypN5QXCEMGyodGhoqjh49Kjp16iSsrKyEr6+v+PLLLystm5mZKSZMmCBcXV2FXC4XrVq10vvMCgcOHBARERFCLpdXasuLFy+KcePGCQ8PD2FpaSkaN24s+vfvL37++WfdMhVtc+TIEb313mn4c0ZGhujXr5+wt7fXG6J8p2Vruu2EEOLrr78W/v7+QqFQiHbt2ol9+/aJrl27VjlUOjs7W0yZMkWEhIQIW1tb4ejoKCIjI8WaNWv01n23bbtb+/z7tf8Ole7Xr5/4448/RFhYmFAoFCIkJESsXbu20vuPHTsmIiMjhVwuFz4+PmLevHl3XKch7S6EED/99JMIDw8XCoVCuLi4iCeeeEJcvXpVb5nx48cLW1vbSjUZ8v9BDZtMiPvo8UZElWzcuBGDBg3Cvn37dMOxjUlUVBSys7MRHx8vdSlERFVinxeiGvLtt98iICAADz/8sNSlEBE1aOzzQvSAVq9ejVOnTmHz5s347LPPeINFIqJaxvBC9IBGjx4NOzs7TJw4Ec8995zU5RARNXjs80JERERGhX1eiIiIyKgwvBAREZFRaXB9XrRaLa5duwZ7e3t2nCQiIjISQgjk5+fDy8ur0o1f/6vBhZdr167B29tb6jKIiIjoPly5cgVNmjSpcpkGF14qLk1+5coVODg4SFwNERERVUdeXh68vb11v8er0uDCS8WpIgcHB4YXIiIiI1OdLh/ssEtERERGheGFiIiIjArDCxERERkVhhciIiIyKgwvREREZFQYXoiIiMioMLwQERGRUWF4ISIiIqPC8EJERERGheGFiIiIjArDCxERERkVhhciIiIyKgwvREREVG3ZBSokZuRLWkODu6s0ERER1Rx1mRbHU29h3/ks7LuQhfi0PLTzdcbPkztLVhPDC5EpKywE7OzKpwsKAFtbaeshonrh6q0i7D2fhT2JWTiQlI1CtUbvdbVGizKNFhbm0pzAYXghIiIycaoyDY4k38LuxOvYez4LSdcL9F53sZXjkWBXdAlW4pGmrnCzt5Ko0nIML0RERCYoPbcYuxOysDvxOvYnZaPoX0dXzGRAWx9nRDVTomtTN4R6OcDMTCZhtfoYXoiIiEyARitw4koOdiVkYldCFs6l5+m9rrRXoGtTJbo1c8PDQa5wtLGUqNJ7Y3ghMmVmZkDXrreniahBKVCV4c/zWdhx7jp2J17HzUK17jWZDAj3dkL3EDdENXNDC8/6dXSlKgwvRKbM2hrYs0fqKoioBl3LKcaOc5nYfjYThy7dhFqj1b1mb2WBrk2V6NHcDV2busHFVi5hpfeP4YWIiMiICSFwLj0f289mYvu5DMSn6Z8O8mtkgx7N3dGjuRva+7nAUqIRQjWJ4YWIiMjIaLQCR1Nu4o8zmdh2NgNXbxXrXpPJgAgfZ/Rs4Y6ezd0RqLSFTGYcp4Oqi+GFyJQVFgJ+fuXTKSm8zgtRPaYq0+BA0g1sjc/A9nOZev1XrCzN8HCQEr1buKN7cze42ikkrLT2MbwQmbrsbKkrIKK7KFKXYW9iFrbEZ2BXwnUUqMp0rzlaW6JHczf0CfVAl2AlrOXmElZatxheiIiI6pECVRl2JVzHltPp2J14HSWltzvcujso0CfUA31CPdDBv2H0X7kfDC9EREQSK1CVYee5TGw+lY6957OgKrsdWLxdrPFoS0/0CfVAuLeT0Qxnrk0ML0RERBIoUpcfYfntZPkRln8HFr9GNujbyhN9W3ki1MuhwXW4fVAML0RERHVEVabB3sQs/HoqHTvOZqK49PYl+f0a2aB/mBf6tvJEc097BpYqMLwQERHVojKNFgcv3cDGE9fwx5kM5Jfc7nTr42KD/mGe6BfmiRaePMJSXQwvRKbMzAxo1+72NBHVCCEE4q7kYNOJa/jt1DVkF9we1uzpaIX+YZ4Y0NoLrRo7MrDcB4YXIlNmbQ0cOSJ1FUQNxqWsAmw4cQ0b4tKQerNIN9/FVo5+rcoDSztfZ3a6fUAML0RERA/gZqEav568hnVxaTh5JUc330Zujt4t3DGwTWM8HOxqssOaawPDCxERkYFUZRrsTriOX46nYXfCdZRpBQDA3EyGR4JdMTi8MXq1cIeNnL9mawNblciUFRUBLVqUT589C9jYSFsPUT0mhMCpq7n4+dhV/HrqGnKKSnWvtWzsgCHhTTCgtReU9g370vz1AcMLkSkTArh8+fY0EVVyPb8EG+LS8POxqzifWaCb7+6gwKDwxhjatgmauttLWKHpqbXw8sEHH2Dz5s04ceIE5HI5cnJy7vkeIQRmzpyJb7/9Fjk5OXjooYewcOFCBAcH11aZRERElZRptNidmIWfjlzB7sTr0PxzWkhhYYY+oR4YFtEEDwW5wpwdbyVRa+FFrVZj+PDh6NSpE5YsWVKt93z88cf4/PPPsWzZMvj7++Ott95Cnz59cPbsWVhZWdVWqURERADKRwutOXoVvxy/iqx8lW5+uI8ThkU0Qf8wLzhaW0pYIQG1GF5mzZoFAIiNja3W8kIILFiwAG+++SYGDhwIAFi+fDnc3d2xYcMGjBo1qrZKJSIiE1ZSqsHW+AysOpyKQ8k3dfMb2coxpG1jjGjnjWCeFqpX6k2fl+TkZGRkZKBnz566eY6OjoiMjMTBgwfvGl5UKhVUqtvpOC8vr9ZrJSIi43chMx8rD6difVyarvOtmQzo2lSJke290T3EHXILDm+uj+pNeMnIyAAAuLu76813d3fXvXYns2fP1h3lISIiqoqqrPwoy4q/U3E45fZRFi9HK4xo740R7bzh5WQtYYVUHQaFlxkzZmDOnDlVLnPu3DmEhIQ8UFGGeP311/HKK6/onufl5cHb27vOPp/IqMlkt4dK8xLl1ICl3ijCikOXsfbYVdwsLL9Uv7mZDD1C3DA60gddgpXsfGtEDAov06ZNQ0xMTJXLBAQE3FchHh4eAIDMzEx4enrq5mdmZqJNmzZ3fZ9CoYBCwTH1RPfFxgY4c0bqKohqhUYrsPf8dSw/eBl7z2fprgbg6WiFUe19MLK9NzwcORjEGBkUXpRKJZRKZa0U4u/vDw8PD+zcuVMXVvLy8nDo0CFMnjy5Vj6TiIganpwiNVYfuYIf/76Mq7eKdfO7NFViTKQPuoe4wYKX6jdqtdbnJTU1FTdv3kRqaio0Gg1OnDgBAAgKCoKdnR0AICQkBLNnz8bgwYMhk8nw0ksv4f3330dwcLBuqLSXlxcGDRpUW2USEVEDcfZaHpYdSMGGE2lQlWkBAI7Wlhge0QRjOvrCz9VW4gqpptRaeHn77bexbNky3fPw8HAAwO7duxEVFQUASExMRG5urm6Z//u//0NhYSGefvpp5OTk4OGHH8bWrVt5jRei2lJUBLRvXz595AhvD0BGR6MV2H42E9/vT8bhfw1zbuHpgPGdffFY68awlptLWCHVBpkQDeua4Hl5eXB0dERubi4cHBykLoeofissBP45EoqCAsCWf5mSccgrKcWaI1cQeyBFd2rI3EyG6JYeiOnsh3a+zpCxE7pRMeT3d70ZKk1ERHQvV24WYclfyVh79AoK1RoAgLONJR6P9MGYjr7wdOQwZ1PA8EJERPXescu38N2fl/DHmQz8c5shBLvZ4cmH/TGoDU8NmRqGFyIiqpcq+rMs3ncRx1NzdPO7NFXiqYf98UiwK08NmSiGFyIiqldKSjVYH5eGb/ddwqXsQgCA3NwMg8K9MPHhADTz4H2GTB3DCxER1Qt5JaX44eBlLN2fguyC8nvWOVhZYFwnP4zr7As3e448pXIML0SmTCYDfH1vTxNJICtfhSV/JWPF35eRryoDUH6voYmPBGBke2/YKfirivRxjyAyZTY2QEqK1FWQibpyswiL9l3EmqNXof7nonJN3e3wbNdADGjtBUteBZfuguGFiIjqVHJ2Ib7anYQNcWko+2foULiPE56LCkKPEDeY8QaJdA8ML0REVCfOZ+bjy11J+O3UNd1w54eDXDGlWxA6Brhw5BBVG8MLkSkrLga6dCmf3rcPsOYFvqjmJWTk4fOdF/D76QzdvJ7N3TClWxDCfZwlrIyMFcMLkSnTaoGjR29PE9Wgc+nloWVL/O3Q0reVB6Z0C0Kol6OElZGxY3ghIqIadSEzH/N3nNcdaZHJgL6tPPFi92Beo4VqBMMLERHViOTsQny24zw2nrwGIRhaqPYwvBAR0QO5eqsIn+24gHVxadD80xM3OtQDL/dqytBCtYLhhYiI7kt2gQpf7krCykOpUGvK+0x1D3HDK72aomVj9mmh2sPwQkREBskrKcW3+y5hyV/JKFJrAACdAhrh1T7NEOHL0UNU+xheiEydq6vUFZCRUJVp8OPfqfhy1wXcKioFALRu4ojpfULwUFAjXqeF6gzDC5Eps7UFsrKkroLqOa1WYNPJa5i7LRFXbxUDAILc7PBq72boE+rO0EJ1juGFiIjuan9SNj7YfA5n0/MAAO4OCrzcsymGRTSBBe89RBJheCEiokouZOZj9pYE7Eq4DgCwV1jg2ahAPPmQP6zl5hJXR6aO4YXIlBUXA48+Wj69ZQtvD0DILlBh/vbzWH3kCjRaAQszGcZ09MWLPYLhYiuXujwiAAwvRKZNqwX27r09TSZLXaZF7IFkfLEzCfmqMgBArxbueP3REAQo7SSujkgfwwsRkQkTQmDHuev4YPNZpNwoAgC0auyIN/o1R8eARhJXR3RnDC9ERCbqfGY+3v31LP5KygYAKO0V+L8+zTC0bROYmXEEEdVfDC9ERCYmr6QUC7ZfwLKDKdBoBeTmZnjqEX881y0Idgr+WqD6j3spEZGJ0GoFfjl+FXO2JiC7QA2gvF/LW/1awKeRjcTVEVUfwwsRkQk4cy0Xb22Ix/HUHABAgKstZj4Wiq5NldIWRnQfGF6ITJ0N/+JuyPJLSjFv+3ksO5ACrQBs5OZ4sUcwnnzIH3ILXmSOjBPDC5Eps7UFCgulroJqgRACv55Kx/u/ncX1fBUAoF+YJ97q1wIejlYSV0f0YBheiIgamMs3CvHmhnj8eaF8FJG/qy1mPRaKLjxFRA0EwwsRUQOhLtPi2z8v4fOdF6Aq00JuYYYpUUF4pmsArCx5SX9qOBheiExZSQkwdGj59C+/AFY8nWCsjl2+if+ti0diZj4A4KGgRvhgUCv4udpKXBlRzWN4ITJlGg3w+++3p8noFKrK8MkfiVh2MAVCAC62crzZrzkGhzeGTMYLzVHDxPBCRGSk9iRexxvr45GWUwwAGNq2Cd7s1xzOvIEiNXAML0RERianSI13fzuLdcfTAABNnK0xe0grPBLMDrlkGhheiIiMyLYzGfjf+nhkF6ggkwETOvtjWu+msOVl/cmEcG8nIjICOUVqvLPpDDacuAYACHKzw8fDwtDWx1niyojqHsMLEVE9t/1sJv63/jSy8lUwkwFPdwnESz2DOfyZTBbDCxFRPZVfUopZv57Fz8euAgAClbaYO7w1wnm0hUwcwwuRKbO1BYSQugq6g78v3cC0NSeRllMMmQyY9EgAXunVlEdbiMDwQkRUr5SUavDptkR891cyhAC8Xazx6fA26ODvInVpRPUGwwsRUT2RkJGHqatO6K6SO7qDN97o1wJ2HElEpIc/EUSmrKQEGDu2fPqHH3h7AIkIIRB7IAWztyRAXaaFq50cc4aGoUdzd6lLI6qXGF6ITJlGA/z8c/l0bKykpZiq6/klmL72FPaezwIA9Ahxw5xhYXC1U0hcGVH9xfBCRCSR3YnX8eqak7hRqIbCwgxv9muOMR19eU8iontgeCEiqmPqMi0++SMB3/6ZDABo7umAz0e1QbC7vcSVERkHhhciojqUeqMIL6w6jpNXcwEAMZ39MOPREA6BJjIAwwsRUR3ZfCodM345hXxVGRytLfHxsDD0CfWQuiwio8PwQkRUy1RlGny4+RyWHbwMAGjn64zPRoejsZO1xJURGSeGFyKiWnT1VhGmrLh9mmhyVCCm9WoKC3MziSsjMl4ML0SmzMYGKCi4PU01aue5TLyy5iRyi0vhaG2J+SNbo3sIr91C9KAYXohMmUxWfn8jqlEarcD87efx5e4kAEBrbyd89Xg4mjgzIBLVBIYXIqIadKtQjak/ncC+fy46N76TL97o1wJyC54mIqopDC9EpkylAp55pnx60SJAwau6Poj4tFw8++MxXL1VDCtLM8wZGoaBbRpLXRZRg8PwQmTKysqAZcvKp7/6iuHlAfx87CreWH8aqjItfBvZ4JsxEWju6SB1WUQNEsMLEdEDKNNo8cHv57B0fwoAoFszJRaMDIejjaW0hRE1YAwvRET3KadIjedXxuGvpGwAwIvdg/BSz6YwM+O9iYhqE8MLEdF9OJ+Zj0nLj+LyjSJYW5pj3ojWeLSVp9RlEZkEhhciIgPtPJeJF1fFoVCtQRNna3w7rh37txDVIYYXIqJqEkJgyV/J+OD3cxAC6Bjggq+fiICLrVzq0ohMCsMLEVE1lGq0eHtjPFYdvgIAGN3BB+8ODIUlL/NPVOcYXohMmY0NcP367Wm6o9yiUkxecQwHLt6ATAa80bc5Jj7sD5mMHXOJpMDwQmTKZDJAqZS6inot9UYRYpYexqXsQtjKzfHZqHD0bMH7ExFJieGFiOgu4lJv4allR3GjUA0vRyssiWnPjrlE9UCtnaz94IMP0LlzZ9jY2MDJyala74mJiYFMJtN7REdH11aJRKRSAVOmlD9UKqmrqVe2ncnA6G//xo1CNUK9HLBhykMMLkT1RK0deVGr1Rg+fDg6deqEJUuWVPt90dHRWLp0qe65gpcrJ6o9ZWXA11+XT3/8MW8P8I/Y/cmY9dtZCAFENVPiq8fbwlbBA9VE9UWt/TTOmjULABAbG2vQ+xQKBTw8PGqhIiKiqmm1AnO2JmDRvksAykcUvTcwFBYcUURUr9S7PyX27NkDNzc3ODs7o3v37nj//ffRqFGjuy6vUqmg+tfh7ry8vLook4gamFKNFq/9fArr4tIAANP7NMNzUYEcUURUD9WrPyeio6OxfPly7Ny5E3PmzMHevXvx6KOPQqPR3PU9s2fPhqOjo+7h7e1dhxUTUUNQpC7DpOVHsS4uDeZmMswd3hpTugUxuBDVUwaFlxkzZlTqUPvfR0JCwn0XM2rUKDz22GNo1aoVBg0ahN9++w1HjhzBnj177vqe119/Hbm5ubrHlStX7vvzicj03CpU4/FvD2FPYhasLM3w7bgIDItoInVZRFQFg04bTZs2DTExMVUuExAQ8CD1VFqXq6srkpKS0KNHjzsuo1Ao2KmXiO7LtZxijF1yCBezCuFkY4kl49sjwtdZ6rKI6B4MCi9KpRLKOryg1dWrV3Hjxg14evJOrURUs5KzCzHmu0NIyymGp6MVfpjYAUFu9lKXRUTVUGt9XlJTU3HixAmkpqZCo9HgxIkTOHHiBAoKCnTLhISEYP369QCAgoICTJ8+HX///TdSUlKwc+dODBw4EEFBQejTp09tlUlk2qytgeTk8oe1tdTV1JmEjDwM/+Yg0nKK4e9qi58nd2ZwITIitTba6O2338ayZct0z8PDwwEAu3fvRlRUFAAgMTERubm5AABzc3OcOnUKy5YtQ05ODry8vNC7d2+89957PC1EVFvMzAA/P6mrqFNxqbcQs/QIcotL0dzTAcuf7AClPb9jiIyJTAghpC6iJuXl5cHR0RG5ublwcODVMInotgMXs/HUsqMoUmvQ1scJS2M6wNHGUuqyiAiG/f6uV0OliaiOqdXA9OnlD7Va6mpq1b7zWZiw9AiK1Bo8HOSKHyZGMrgQGSkeeSEyZYWFgJ1d+XRBAWBrK209tWRXQiae/eE41BotejZ3w5ePt4WVpbnUZRHRvxjy+7veXWGXiKgmbTuTgSkrj6NUI9An1B1fjG4LuQUPOhMZM4YXImqwfj+djhdXxaFMK9AvzBMLRraBJe9TRGT0+FNMRA3S5lPpeOGf4DKojRc+Y3AhajB45IWIGpyt8el4cXUcNFqBoW2b4ONhYTA3432KiBoK/hlCRA3KtjMZeH5leXAZEt6YwYWoAWJ4IaIGY+e5TExZeRxlWoGBbbzwyfDWDC5EDRBPGxGZMmtrID7+9rQR25N4HZN/LB9V1C/ME58yuBA1WAwvRKbMzAwIDZW6igd28OINPPPDMag1Wjza0gMLRraBBTvnEjVY/OkmIqMWl3oLTy07AlVZ+QXoPh8dzlFFRA0cj7wQmTK1Gvjww/Lp//0PkMulrcdA59LzELP0CArVGnQObIQvH2/L4EJkAnh7ACJTZsS3B7iUVYARiw4iu0CNtj5O+GFiJGwV/HuMyFjxxoxE1KCl5RRjzHeHkF2gRgtPByyd0IHBhciEMLwQkVG5WajG2CWHcC23BIFKW/wwsQMcrXl3aCJTwvBCREajUFWGCbFHcCmrEF6OVvjxqUg0slNIXRYR1TGGFyIyCqUaLSavOI6TV3LgZGOJ5RM7wNPRuK9NQ0T3h+GFiOo9rVZg+tqT2Hc+C9aW5lga0x5BbvZSl0VEEmF4IaJ678Pfz2HDiWuwMJPh6zFtEe7jLHVJRCQhds8nMmVWVsDhw7en66Hv/0rGd38lAwA+GR6Gbs3cJK6IiKTG8EJkyszNgfbtpa7irrbGZ+C9zWcBAK9Fh2BweBOJKyKi+oCnjYioXjqeegtTV8dBCOCJSB882zVA6pKIqJ7gkRciU6ZWA599Vj49dWq9uT3A5RuFeGrZUajKtOge4oZZj4VCJuMdoomoHMMLkSkrLQX+7//Kp597rl6El5uFasQsPYKbhWq0bOyAL0aH8w7RRKSH3whEVG+oy7R49odjSM4uRGMna3wf056X/SeiShheiKheEELgjfWncTjlJuwVFlg6oT3c7OvnCCgikhbDCxHVC9/+eQlrj12FmQz44vFwNHXnReiI6M4YXohIcjvOZmL2lgQAwFv9WyCK13IhoiowvBCRpM6l5+kNiY7p7Cd1SURUzzG8EJFkbhSo8NSyoyhUa/BQUCO8wyHRRFQN7MZPZMqsrIDdu29P16FSjRZTVh5HWk4x/F1t8fXjEbDkkGgiqgaGFyJTZm4OREVJ8tEfbD6Hvy/dhJ3CAt+Oi4CjjaUkdRCR8eGfOURU534+dhWxB1IAAPNGtEaQG0cWEVH18cgLkSkrLQUWLy6ffvppwLL2j36cvJKD/60/DQCY2iMYvUM9av0ziahhYXghMmVqNfD88+XTMTG1Hl6y8lV49sdjUJdp0bO5O6b2CK7VzyOihomnjYioTpRptHh+5XGk55YgQGmL+SNbw8yMI4uIyHAML0RUJ+ZuO49DyTdhKzfH4rHtYG/FDrpEdH8YXoio1m0/m4lv9l4EAHw8rDWC3OwkroiIjBnDCxHVqtQbRXhlzQkAwISH/NAvzFPagojI6DG8EFGtKSnVYPKKY8gvKUNbHye8/mhzqUsiogaA4YWIas2sX8/gzLU8uNjK8dUTbSG34FcOET04DpUmMmUKBfDbb7ena9CGuDSsOnwFMhnw2ag28HS0rtH1E5HpYnghMmUWFkC/fjW+2uTsQrzxz4XoXuwejEeClTX+GURkungMl4hqlKpMgxdWHUehWoNIfxe8yAvREVEN45EXIlNWWgqsWFE+/cQTNXKF3Y+2JCA+LQ/ONpZYMKoNzHkhOiKqYQwvRKZMrQYmTCifHj78gcPL9rOZWLo/BQAwd3hr9nMholrB00ZEVCPSc4sx/eeTAIAnH/JHj+buEldERA0VwwsRPTCNVuCl1SeQU1SKlo0d8NqjzaQuiYgaMIYXInpg3/55CYeSb8JGbo4vRreFwsJc6pKIqAFjeCGiBxKflotPtyUCAGYOaAF/V1uJKyKiho7hhYjuW0mpBi/9dAKlGoHeLdwxop231CURkQlgeCGi+/bRlgQkXS+Aq50Cs4e0gkzGYdFEVPs4VJrIlCkUwJo1t6cNsPd8FmIPpAAAPhkehkZ2NXt7ASKiu2F4ITJlFhbl13cx0K1CNaavLR8WPa6TL7o1c6vpyoiI7oqnjYjIYDM3ncH1fBUClbZ4/dHmUpdDRCaGR16ITFlZGbB+ffn04MHlR2LuYWt8OjadvAZzMxnmjWgDazmHRRNR3WJ4ITJlKhUwYkT5dEHBPcPLjQIV3lgfDwB4tmsAWns71XKBRESV8bQREVXb25vO4EahGs3c7Xm3aCKSDMMLEVXL5lPp2HwqHeZmMswd3ppX0SUiyTC8ENE9ZReo8NbG8tNFU6IC0aqJo8QVEZEpY3ghont6e2M8bhaqEeJhj+e783QREUmL4YWIqvTHmQz8fjpDd7pIbsGvDSKSFr+FiOiu8kpK8fY/p4ue6RKAlo15uoiIpFdr4SUlJQUTJ06Ev78/rK2tERgYiJkzZ0KtVlf5vpKSEkyZMgWNGjWCnZ0dhg4diszMzNoqk8i0yeXA0qXlD7m80stztiQgM08Ff1dbji4ionqj1q7zkpCQAK1Wi0WLFiEoKAjx8fGYNGkSCgsLMXfu3Lu+7+WXX8bmzZuxdu1aODo64vnnn8eQIUOwf//+2iqVyHRZWgIxMXd86XDyTaw4lAoAmD2kFawsObqIiOoHmRBC1NWHffLJJ1i4cCEuXbp0x9dzc3OhVCqxcuVKDBs2DEB5CGrevDkOHjyIjh073vMz8vLy4OjoiNzcXDg4ONRo/USmoqRUg36f/4mLWYUY1d4bHw0Nk7okImrgDPn9Xad9XnJzc+Hi4nLX148dO4bS0lL07NlTNy8kJAQ+Pj44ePBgXZRIZFrKyoDNm8sfZWW62V/vTsLFrEIo7RW8dxER1Tt1dnuApKQkfPHFF1WeMsrIyIBcLoeTk5PefHd3d2RkZNzxPSqVCiqVSvc8Ly+vRuolMgkqFdC/f/n0P7cHSMzIx9d7LgIA3n0sFI42lhIWSERUmcFHXmbMmAGZTFblIyEhQe89aWlpiI6OxvDhwzFp0qQaKx4AZs+eDUdHR93D29u7RtdPZEqEEHhzw2mUaQV6tXBHdEsPqUsiIqrE4CMv06ZNQ8xdOvhVCAgI0E1fu3YN3bp1Q+fOnbF48eIq3+fh4QG1Wo2cnBy9oy+ZmZnw8Ljzl+jrr7+OV155Rfc8Ly+PAYboPv1yPA1HUm7B2tIc7zwWCplMJnVJRESVGBxelEollEpltZZNS0tDt27dEBERgaVLl8LMrOoDPREREbC0tMTOnTsxdOhQAEBiYiJSU1PRqVOnO75HoVBAoVAYthFEVElOkRqzfz8HAJjaMxiNnawlroiI6M5qrcNuWloaoqKi4OPjg7lz5yIrKwsZGRl6fVfS0tIQEhKCw4cPAwAcHR0xceJEvPLKK9i9ezeOHTuGCRMmoFOnTtUaaURE92/BjvO4UahGsJsdnnzIX+pyiIjuqtY67G7fvh1JSUlISkpCkyZN9F6rGJ1dWlqKxMREFBUV6V6bP38+zMzMMHToUKhUKvTp0wdff/11bZVJRP9Yc/QqYGmF9wa15C0AiKheq9PrvNQFXueFyACFhYCdHQCg+cs/49HIQMwb2UbamojIJBny+7vOhkoTUT0kl+PQtFn47VQ6rGyt8HpfXtOFiOo/hhciE5ZVosVTdpHIb1uG9/qGQmnPzu9EVP/xxDaRCftoSwLyS8rQsrEDHo/0lbocIqJqYXghMlFHUm5i/dHL6Jh6CvPdcmAutFKXRERULTxtRGSCyjRavLUhHoqyUqxe9T9gFcpvD2BrK3VpRET3xCMvRCboh78vIyEjH47WvG8RERkfhhciE3M9vwTztp0HALzUK1jiaoiIDMfwQmRiZv+egHxVGVo3ccTwCN4HjIiMD8MLkQk5dOkG1selQSYD3h3YEuZmvPEiERkfhhciE6Eu0+LNDfEAgFHtfdDa20nagoiI7hPDC5GJ+O6vS7hwvQCNbOV4LbqZ1OUQEd03DpUmMgFXbhbh850XAABv9GsOJxt5+QuWlsDHH9+eJiIyAgwvRA2cEAJvb4xHSakWHQNcMDi88e0X5XJg+nTpiiMiug88bUTUwP1xJgO7E7NgaS7D+4NaQSZjJ10iMm488kLUgBWoyvDOprMAgGe7BiLIzU5/AY0GOH68fLptW8DcvI4rJCIyHMMLUQM2b9t5ZOSVwLeRDaZ0C6q8QEkJ0KFD+TRvD0BERoKnjYgaqPi0XMQeSAZQfk0XK0seVSGihoHhhagBKtNo8dovp6AVQP8wT3RtqpS6JCKiGsPwQtQALd2fgjPX8uBobYmZA0KlLoeIqEYxvBA1MFduFmHe9vIbL77RtzmU9gqJKyIiqlkML0QNiBACb2yIR3GpBh0DXDC8XROpSyIiqnEML0QNyKaT17DvfBbkFmb4cDCv6UJEDROHShM1ELcK1Xj31/JrurzYPQgBSrt7vAPltwSYOfP2NBGREWB4IWog3t98DjcK1WjqboenuwRW701yOfDOO7VaFxFRTeNpI6IGYE/idfxy/CpkMmD2kDDILfijTUQNF4+8EBm5AlUZ3lgfDwCI6eyHCF/n6r9ZqwXOnSufbt4cMGPoIaL6j+GFyMh9vDUBaTnF8HaxxvQ+zQx7c3Ex0LJl+TRvD0BERoJ/ZhEZscPJN7H84GUAwEdDwmAj598jRNTwMbwQGamSUg1e++UUAGBUe288FOQqcUVERHWD4YXISC3YcQHJ2YVwd1Dg9b7NpS6HiKjOMLwQGaGTV3Lw7Z+XAADvD2oFR2teo4WITAfDC5GRKSnV4NW1J6HRCgxo7YVeLdylLomIqE4xvBAZmc92XsCF6wVwtVPg3cd4x2giMj0cmkBkROJSb2HR3osAgA8Gt4SzrfzBVmhpCbz66u1pIiIjwPBCZCQqThdpBTCojRf6hHo8+ErlcuCTTx58PUREdYinjYiMxPzt53ExqxBKewXe4ekiIjJhPPJCZASOp97SjS76cHArONk84OmiClotkJpaPu3jw9sDEJFRYHghqueK1Rq8uqb8dNGQ8MY1O7qouBjw9y+f5u0BiMhI8M8sonruoy3ncCm7EB4OVpg5gKeLiIgYXojqsT8vZGHZP/cu+mR4GBxtOCKIiIjhhaieyi0qxfS15fcuGtfJF48EKyWuiIiofmB4IaqnZm6KR0ZeCQJcbfH6o7x3ERFRBYYXonpo86l0bDhxDeZmMnw6ojWs5eZSl0REVG8wvBDVM9fzSvDGhtMAgClRgQj3cZa4IiKi+oVDpYnqEa1WYNrak8gpKkXLxg54vntw7X6ghQXw3HO3p4mIjAC/rYjqkaUHUvDnhWxYWZphwchwyC1q+eCoQgF89VXtfgYRUQ3jaSOieuJceh7mbEkAALzZrwWC3OwkroiIqH7ikReieqCkVIOpq+Og1mjRs7kbnoj0qZsPFgLIzi6fdnUFZLK6+VwiogfA8EJUD3y0JQHnMwvgaqfAnKFhkNVViCgqAtzcyqd5ewAiMhI8bUQksd2J1xF7IAUAMHd4GBrZKaQtiIionmN4IZLQ9fwSTF97EgAQ09kPUc3cJK6IiKj+Y3ghkohWKzBtzUlkF6gR4mGPGY+GSF0SEZFRYHghksiifZfw54VsWFua48vHw2FlyavoEhFVB8MLkQTiUm/h022JAIB3HmuBIDd7iSsiIjIeDC9EdSy3uBQvrIpDmVagf5gnRrTzlrokIiKjwqHSRHVICIH/rT+Nq7eK4e1ijQ+HtKq7YdF3YmEBjB9/e5qIyAjw24qoDq06fAWbT6XDwkyGz0eFw8HKUtqCFAogNlbaGoiIDMTTRkR15My1XLzz6xkAwKt9mvFu0URE94lHXojqQH5JKaasOA51mRbdQ9zw9CMBUpdUTojyq+wCgI0Nbw9AREaBR16IapkQAjPWnUbKjSJ4OVrh0+GtYWZWT0JCURFgZ1f+qAgxRET1HMMLUS378e/Lun4uXz7RFs62cqlLIiIyagwvRLXo9NVcvPfbOQDAjEdD0Jb9XIiIHhjDC1EtyS0qxXMrj0Gt0aJ3C3dMfNhf6pKIiBoEhheiWqDVCrz0Uxyu3Cy/nssnw1pLez0XIqIGpNbCS0pKCiZOnAh/f39YW1sjMDAQM2fOhFqtrvJ9UVFRkMlkeo9nn322tsokqhVf7k7C7sQsKCzM8M2YCDjaSHw9FyKiBqTWhkonJCRAq9Vi0aJFCAoKQnx8PCZNmoTCwkLMnTu3yvdOmjQJ7777ru65jY1NbZVJVOP2JF7H/B3nAQAfDG6FUC9HiSsiImpYai28REdHIzo6Wvc8ICAAiYmJWLhw4T3Di42NDTw8PGqrNKJac+VmEaauPgEhgCcifTAsoonUJVXN3BwYNuz2NBGREajTPi+5ublwcXG553IrVqyAq6srWrZsiddffx1FVVx/QqVSIS8vT+9BJIWSUg0mrziG3OJStPZ2wtsDWkhd0r1ZWQFr15Y/rKykroaIqFrq7Aq7SUlJ+OKLL+551OXxxx+Hr68vvLy8cOrUKbz22mtITEzEunXr7rj87NmzMWvWrNoomajahBB4c0M84tPy4GIrx9dPtIXCgkcyiIhqg0wIIQx5w4wZMzBnzpwqlzl37hxCQkJ0z9PS0tC1a1dERUXhu+++M6jAXbt2oUePHkhKSkJgYGCl11UqFVQqle55Xl4evL29kZubCwcHB4M+i+h+xe5Pxju/noWZDPhhYiQeCnKVuiQiIqOSl5cHR0fHav3+NvjIy7Rp0xATE1PlMgEBt+/bcu3aNXTr1g2dO3fG4sWLDf04REZGAsBdw4tCoYBCoTB4vUQ15cDFbLy3ufxCdP/r29y4gkthYfmtAQCgoACwtZW2HiKiajA4vCiVSiiVymotm5aWhm7duiEiIgJLly6FmZnhXWxOnDgBAPD09DT4vUS17crNIkxZcRwarcDg8Ma8EB0RUR2otQ67aWlpiIqKgo+PD+bOnYusrCxkZGQgIyNDb5mQkBAcPnwYAHDx4kW89957OHbsGFJSUrBp0yaMGzcOXbp0QVhYWG2VSnRfitUaPPPDMdwqKkWrxo6YPaQVL0RHRFQHaq3D7vbt25GUlISkpCQ0aaI/XLSim01paSkSExN1o4nkcjl27NiBBQsWoLCwEN7e3hg6dCjefPPN2iqT6L4IIfDaL6dwNj0PjWzlWDQ2AlaW7KBLRFQXDO6wW98Z0uGH6H59uesC5m47DwszGVZO6ogO/ve+BEC9xD4vRFRPGPL7m/c2IjLQ1vh0zN1WfgXdWQNDjTe4EBEZKYYXIgPEp+Xi5Z9OAgAmPOSHJyJ9Ja6IiMj01NlF6oiM3fW8EkxafhTFpRp0aarEG32bS13SgzM3B/r2vT1NRGQEGF6IqqGkVINJPxxDem4Jgtzs8OXj4bAwbwAHLq2sgM2bpa6CiMggDeDbl6h2abUCr649iZNXcuBkY4kl49vBwcpS6rKIiEwWwwvRPXyyLRG/nUqHpbkMC5+IgG8jjsghIpISwwtRFVYdTsXCPRcBAB8NCUOnwEYSV1TDCgvLh0fb2pZPExEZAfZ5IbqLfeez8OaGeADA1B7BGBrR5B7vMFL/XCSSiMhY8MgL0R2cS8/Dc//cs2hIeGO81DNY6pKIiOgfDC9E/5GRW4InY4+gQFWGjgEu+GhoGO9ZRERUjzC8EP1LbnEpxn9/GOm5JQhU2mLRmHaQW/DHhIioPuG3MtE/Sko1mLT8KBIz8+Fmr8CyJzvA0YZDoomI6huGFyIAGq3Ayz+dwOHkm7BXWGDZkx3QxNlG6rKIiOgOONqITJ4QArN+PYMt8RmQm5th0bgINPc0kTuSm5kBXbveniYiMgIML2TyvtqdhOUHL0MmA+aNbI3Oga5Sl1R3rK2BPXukroKIyCD8U4tM2g9/X8bcbecBAG/3b4H+YV4SV0RERPfC8EIma+OJNLy9sfwidC92D8KEh/wlroiIiKqD4YVM0s5zmXhlzUkIAYzv5IuXezWVuiRpFBYCSmX5g7cHICIjwT4vZHL+vnRDd/XcweGNMXNAqGlfhC47W+oKiIgMwiMvZFJOXc3BU8uOQlWmRc/mbvh4WBjMzEw4uBARGSGGFzIZZ67lYuySw7rL/n/5eFtYmvNHgIjI2PCbm0xCYkY+xi45jNziUkT4OmPJ+PawsjSXuiwiIroPDC/U4F3MKsAT3x3CzUI1wpo4YumE9rBVsLsXEZGxYnihBu3yjUI8/u3fyC5QobmnA5Y/2QEOVrxfERGRMeOfn9RgXb5RiNGL/0ZmngrBbnb4cWIHONnIpS6rfjEzA9q1uz1NRGQEGF6oQUrOLg8uGXklCFDaYsWkSDSyU0hdVv1jbQ0cOSJ1FUREBmF4oQbnYlYBHv+2/IhLkJsdVk6KhJu9ldRlERFRDWF4oQYl6XoBRn/7N7LyVWjqbocVT3WE0p5HXIiIGhKe5KYG43xmPkYtLg8uIR72WDmJweWeiooAP7/yR1GR1NUQEVULj7xQg3Dqag7GfX8YOUWluuDiYsvOufckBHD58u1pIiIjwPBCRu9w8k08GXsEBaoytG7iiNgJHeDM4EJE1GAxvJBR23s+C8/8cBQlpVpE+rtgSUx72PECdEREDRq/5clobY1Pxwur4lCqEejWTImFYyJ4yX8iIhPA8EJGaeWhVLy54TS0AujXyhPzR7aB3IL9z4mITAHDCxkVIQQ+35mE+TvOAwBGtffGB4NbwdxMJnFlRERUVxheyGhotAIzN8Xjx79TAQAvdA/CK72aQiZjcLlvMhnQosXtaSIiI8DwQkahpFSDl386gS3xGZDJgHcfC8XYTn5Sl2X8bGyAM2ekroKIyCAML1Tv3SxU45kfjuJIyi3Izc2wYFQb9G3lKXVZREQkEYYXqteSswsxYelhpNwogr2VBRaNjUDnQFepyyIiIgkxvFC9dSTlJiYtP4qcolI0cbbG0pj2CHa3l7qshqWoCGjfvnz6yJHy00hERPUcwwvVSxtPpGH62lNQa7Ro7e2E78a1432KaoMQwNmzt6eJiIwAwwvVK1qtwLzt5/Hl7iQAQHSoB+aPbANrOS8+R0RE5RheqN4oUJXh5Z9OYPvZTADAM10C8Fp0CMx4DRciIvoXhheqF1JvFOGp5UdwPrMAcgszfDSkFYa0bSJ1WUREVA8xvJDk9idlY8rK48gpKoWbvQKLx7VDG28nqcsiIqJ6iuGFJKPVCizcexGfbkuEVgCtmzhi0dh28HC0kro0IiKqxxheSBK5xaWYtuYkdpwr798yPKIJ3hvUkneFrmsyGeDre3uaiMgIMLxQnTuXnodnfzyGyzeKIDc3w7sDQzGqg4/UZZkmGxsgJUXqKoiIDMLwQnVGCIGfjlzBO7+eQUmpFo2drLFwTFuENXGSujQiIjIiDC9UJ/JKSvG/dafx26l0AECXpkosGNkGLrZyiSsjIiJjw/BCte7klRy8sCoOqTeLYGEmw6t9muHpRwJ4/Zb6oLgY6NKlfHrfPsDaWtp6iIiqgeGFao1GK/Ddn5cwd1siSjUCTZyt8fnocLT1cZa6NKqg1QJHj96eJiIyAgwvVCuu3CzCtLUncTj5JgDg0ZYe+GhoGBytLSWujIiIjB3DC9UoIQR+PnYVs349iwJVGWzl5nirfwuMbO8NGYfiEhFRDWB4oRqTla/CmxtO448z5dduaefrjHkj2sCnkY3ElRERUUPC8EIPTAiB9XFpePe3s8gpKoWluQwv92qKZ7oEwpydcomIqIYxvNADScspxhvrT2NPYhYAINTLAR8PC0Ool6PElRERUUPF8EL3RaMVWHHoMuZsSUChWgO5uRmm9gzG010CYGluJnV5ZAhXV6krICIyCMMLGezklRy8uSEep9NyAQBtfZzw8bAwBLnZS1wZGczWFsjKkroKIiKDMLxQteUWleKTbQlYcSgVQgD2Cgu82qcZxnT0Zd8WIiKqMwwvdE8arcCao1cw949E3ChUAwAGhzfG631D4GZvJXF1RERkahheqEoHkrLx7m9nkZCRDwAIVNrivUEt0TmQ/SQahOJi4NFHy6e3bOHtAYjIKDC80B1dyirAh78nYMe58mu2OFhZ4MUewRjXyQ9yC3bIbTC0WmDv3tvTRERGgOGF9KTnFuPznRew5uhVaLQC5mYyjIn0wUs9m8KZd4AmIqJ6oFb/hH7sscfg4+MDKysreHp6YuzYsbh27VqV7ykpKcGUKVPQqFEj2NnZYejQocjMzKzNMgnAzUI13v/tLLp+sgerDl+BRivQPcQNf7z0CGYNbMngQkRE9YZMCCFqa+Xz589Hp06d4OnpibS0NLz66qsAgAMHDtz1PZMnT8bmzZsRGxsLR0dHPP/88zAzM8P+/fur9Zl5eXlwdHREbm4uHBwcamQ7GrIbBSp8vz8Zyw5cRoGqDADQwc8F06Obob2fi8TVUa0rLATs7MqnCwrKh04TEUnAkN/ftRpe/mvTpk0YNGgQVCoVLC0r3104NzcXSqUSK1euxLBhwwAACQkJaN68OQ4ePIiOHTve8zMYXqonM68Ei/ddwspDqSgu1QAovzru9D7N0LWpkjdRNBUML0RUTxjy+7vO+rzcvHkTK1asQOfOne8YXADg2LFjKC0tRc+ePXXzQkJC4OPjc9fwolKpoFKpdM/z8vJqvvgG5GJWAZb8lYyfj16FWlPeQTOsiSOe7xaEns3dYcbrtRARUT1X6+Hltddew5dffomioiJ07NgRv/32212XzcjIgFwuh5OTk958d3d3ZGRk3PE9s2fPxqxZs2qy5AZHCIH9STew5K9L2J14+2qq7f2c8Xz3YHQJduWRFlNmw7t+E5FxMbjD7owZMyCTyap8JCQk6JafPn064uLisG3bNpibm2PcuHGoyTNVr7/+OnJzc3WPK1eu1Ni6jV1+SSlWHLqMRz/7E2OWHMLuxCzIZEDP5u746emOWPtsZ54iMnW2tuWnjgoLecqIiIyGwUdepk2bhpiYmCqXCQgI0E27urrC1dUVTZs2RfPmzeHt7Y2///4bnTp1qvQ+Dw8PqNVq5OTk6B19yczMhIeHxx0/S6FQQKFQGLoZDZYQAqeu5mLV4VRsOnkNRery/iw2cnMMj2iCCQ/5w8+Vv6SIiMh4GRxelEollErlfX2Y9p+LYP27j8q/RUREwNLSEjt37sTQoUMBAImJiUhNTb1j2KHbMvNKsOnENayPS8PZ9Nv9fgKVthjdwQfD23nD0frOfY2IiIiMSa31eTl06BCOHDmChx9+GM7Ozrh48SLeeustBAYG6oJIWloaevTogeXLl6NDhw5wdHTExIkT8corr8DFxQUODg544YUX0KlTp2qNNDI1ucWl+ONMBjaeSMOBizdQcTZObmGGvi09MLqDDzr4u/C0EN1dSQnwzx8K+OUXwIr3qiKi+q/WwouNjQ3WrVuHmTNnorCwEJ6enoiOjsabb76pO81TWlqKxMREFBUV6d43f/58mJmZYejQoVCpVOjTpw++/vrr2irT6GTmlWDb2UxsO5OBgxdvoEx7u/9QO19nDAxvjP6tPHlROaoejQb4/ffb00RERqBOr/NSFxradV5KNVqcvJKDfReysfd8Fk5eydF7PdjNDgPbeGFgm8bwduGoETIQr/NCRPVEvbzOC1VPmUaLc+n5OHr5Jg5evIGDF28g/58r31YI93FCn1AP9G7hjgClnUSVEhERSYPhRUJCCFy9VYwz1/Jw5loujl2+hRNXcnQjhCo42Vji4SBXdAlWomszJdwd2C+BiIhMF8NLHdBoBdJuFeNSdgGSswuRkl2IxMx8nL2Wh7ySskrLO1hZoK2vM9r7ueCRYFeEejnCnFe+JSIiAsDwUm2lGi2y8lUo1WhRqhEo1WhRphFQazTIKylDXnFp+aOkDFn5KlzPL0FGbgky81TIzCvR61j7b5bmMgS72SPUywFtfJzQztcFwW52vEw/ERHRXTC8VNPlG4XoOW/ffb9fbmEG/0a28HO1gb+rHQKVtmjh5YBgN3vILQy+0DEREZHJYnipJktzM8gtzGBpJoOFuRkszc1gaS6DpbkZHKwt4GBlWf6wtoCzrRweDlbwcLCCu6OVbppHU6jesbUFGtaAQyIyAQwv1eTbyBbn339U6jKIiIhMHs9XEBERkVFheCEiIiKjwvBCRERERoXhhYiIiIwKwwsREREZFYYXIiIiMioML0RERGRUGF6IiIjIqDC8EBERkVFheCEiIiKjwvBCRERERoXhhYiIiIwKwwsREREZFYYXIiIiMioWUhdQ04QQAIC8vDyJKyEiIqLqqvi9XfF7vCoNLrzk5+cDALy9vSWuhIiIiAyVn58PR0fHKpeRiepEHCOi1Wpx7do12NvbQyaT1ei68/Ly4O3tjStXrsDBwaFG120s2AZsA4BtALANALYBwDYAaq4NhBDIz8+Hl5cXzMyq7tXS4I68mJmZoUmTJrX6GQ4ODia7k1ZgG7ANALYBwDYA2AYA2wComTa41xGXCuywS0REREaF4YWIiIiMCsOLARQKBWbOnAmFQiF1KZJhG7ANALYBwDYA2AYA2wCQpg0aXIddIiIiath45IWIiIiMCsMLERERGRWGFyIiIjIqDC9ERERkVEw6vHz11Vfw8/ODlZUVIiMjcfjw4SqXX7t2LUJCQmBlZYVWrVrh999/13tdCIG3334bnp6esLa2Rs+ePXHhwoXa3IQaYUg7fPvtt3jkkUfg7OwMZ2dn9OzZs9LyMTExkMlkeo/o6Oja3owHYkgbxMbGVto+KysrvWWMcV8wpA2ioqIqtYFMJkO/fv10yxjTfrBv3z4MGDAAXl5ekMlk2LBhwz3fs2fPHrRt2xYKhQJBQUGIjY2ttIyh3zFSMrQN1q1bh169ekGpVMLBwQGdOnXCH3/8obfMO++8U2kfCAkJqcWteHCGtsOePXvu+LOQkZGht1xD3hfu9LMuk8kQGhqqW6am9wWTDS8//fQTXnnlFcycORPHjx9H69at0adPH1y/fv2Oyx84cACjR4/GxIkTERcXh0GDBmHQoEGIj4/XLfPxxx/j888/xzfffINDhw7B1tYWffr0QUlJSV1tlsEMbYc9e/Zg9OjR2L17Nw4ePAhvb2/07t0baWlpestFR0cjPT1d91i1alVdbM59MbQNgPIrSf57+y5fvqz3urHtC4a2wbp16/S2Pz4+Hubm5hg+fLjecsayHxQWFqJ169b46quvqrV8cnIy+vXrh27duuHEiRN46aWX8NRTT+n98r6f/UpKhrbBvn370KtXL/z+++84duwYunXrhgEDBiAuLk5vudDQUL194K+//qqN8muMoe1QITExUW873dzcdK819H3hs88+09v2K1euwMXFpdL3QY3uC8JEdejQQUyZMkX3XKPRCC8vLzF79uw7Lj9ixAjRr18/vXmRkZHimWeeEUIIodVqhYeHh/jkk090r+fk5AiFQiFWrVpVC1tQMwxth/8qKysT9vb2YtmyZbp548ePFwMHDqzpUmuNoW2wdOlS4ejoeNf1GeO+8KD7wfz584W9vb0oKCjQzTO2/aACALF+/foql/m///s/ERoaqjdv5MiRok+fPrrnD9qmUqpOG9xJixYtxKxZs3TPZ86cKVq3bl1zhdWx6rTD7t27BQBx69atuy5javvC+vXrhUwmEykpKbp5Nb0vmOSRF7VajWPHjqFnz566eWZmZujZsycOHjx4x/ccPHhQb3kA6NOnj2755ORkZGRk6C3j6OiIyMjIu65TavfTDv9VVFSE0tJSuLi46M3fs2cP3Nzc0KxZM0yePBk3btyo0dpryv22QUFBAXx9feHt7Y2BAwfizJkzuteMbV+oif1gyZIlGDVqFGxtbfXmG8t+YKh7fR/URJsaG61Wi/z8/ErfBRcuXICXlxcCAgLwxBNPIDU1VaIKa1ebNm3g6emJXr16Yf/+/br5prgvLFmyBD179oSvr6/e/JrcF0wyvGRnZ0Oj0cDd3V1vvru7e6XzlBUyMjKqXL7iX0PWKbX7aYf/eu211+Dl5aX3gxkdHY3ly5dj586dmDNnDvbu3YtHH30UGo2mRuuvCffTBs2aNcP333+PjRs34scff4RWq0Xnzp1x9epVAMa3LzzofnD48GHEx8fjqaee0ptvTPuBoe72fZCXl4fi4uIa+dkyNnPnzkVBQQFGjBihmxcZGYnY2Fhs3boVCxcuRHJyMh555BHk5+dLWGnN8vT0xDfffINffvkFv/zyC7y9vREVFYXjx48DqJnvWWNy7do1bNmypdL3QU3vCw3urtJUdz766COsXr0ae/bs0euwOmrUKN10q1atEBYWhsDAQOzZswc9evSQotQa1alTJ3Tq1En3vHPnzmjevDkWLVqE9957T8LKpLFkyRK0atUKHTp00Jvf0PcDum3lypWYNWsWNm7cqNfX49FHH9VNh4WFITIyEr6+vlizZg0mTpwoRak1rlmzZmjWrJnueefOnXHx4kXMnz8fP/zwg4SVSWPZsmVwcnLCoEGD9ObX9L5gkkdeXF1dYW5ujszMTL35mZmZ8PDwuON7PDw8qly+4l9D1im1+2mHCnPnzsVHH32Ebdu2ISwsrMplAwIC4OrqiqSkpAeuuaY9SBtUsLS0RHh4uG77jG1feJA2KCwsxOrVq6v15VOf9wND3e37wMHBAdbW1jWyXxmL1atX46mnnsKaNWsqnUr7LycnJzRt2rRB7ANV6dChg24bTWlfEELg+++/x9ixYyGXy6tc9kH3BZMML3K5HBEREdi5c6dunlarxc6dO/X+ov63Tp066S0PANu3b9ct7+/vDw8PD71l8vLycOjQobuuU2r30w5A+Uia9957D1u3bkW7du3u+TlXr17FjRs34OnpWSN116T7bYN/02g0OH36tG77jG1feJA2WLt2LVQqFcaMGXPPz6nP+4Gh7vV9UBP7lTFYtWoVJkyYgFWrVukNk7+bgoICXLx4sUHsA1U5ceKEbhtNZV8AgL179yIpKalaf8w88L5QY11/jczq1auFQqEQsbGx4uzZs+Lpp58WTk5OIiMjQwghxNixY8WMGTN0y+/fv19YWFiIuXPninPnzomZM2cKS0tLcfr0ad0yH330kXBychIbN24Up06dEgMHDhT+/v6iuLi4zrevugxth48++kjI5XLx888/i/T0dN0jPz9fCCFEfn6+ePXVV8XBgwdFcnKy2LFjh2jbtq0IDg4WJSUlkmzjvRjaBrNmzRJ//PGHuHjxojh27JgYNWqUsLKyEmfOnNEtY2z7gqFtUOHhhx8WI0eOrDTf2PaD/Px8ERcXJ+Li4gQAMW/ePBEXFycuX74shBBixowZYuzYsbrlL126JGxsbMT06dPFuXPnxFdffSXMzc3F1q1bdcvcq03rG0PbYMWKFcLCwkJ89dVXet8FOTk5umWmTZsm9uzZI5KTk8X+/ftFz549haurq7h+/Xqdb191GdoO8+fPFxs2bBAXLlwQp0+fFlOnThVmZmZix44dumUa+r5QYcyYMSIyMvKO66zpfcFkw4sQQnzxxRfCx8dHyOVy0aFDB/H333/rXuvatasYP3683vJr1qwRTZs2FXK5XISGhorNmzfrva7VasVbb70l3N3dhUKhED169BCJiYl1sSkPxJB28PX1FQAqPWbOnCmEEKKoqEj07t1bKJVKYWlpKXx9fcWkSZPq7Q9pBUPa4KWXXtIt6+7uLvr27SuOHz+utz5j3BcM/XlISEgQAMS2bdsqrcvY9oOK4a7/fVRs8/jx40XXrl0rvadNmzZCLpeLgIAAsXTp0krrrapN6xtD26Br165VLi9E+fBxT09PIZfLRePGjcXIkSNFUlJS3W6YgQxthzlz5ojAwEBhZWUlXFxcRFRUlNi1a1el9TbkfUGI8stBWFtbi8WLF99xnTW9L8iEEOL+jtkQERER1T2T7PNCRERExovhhYiIiIwKwwsREREZFYYXIiIiMioML0RERGRUGF6IiIjIqDC8EBERkVFheCGiWieTybBhwwapyyCiBoLhhYjuW0xMDGQyGWQyGSwtLeHu7o5evXrh+++/h1ar1S2Xnp6ud1fZqjDoENG9MLwQ0QOJjo5Geno6UlJSsGXLFnTr1g1Tp05F//79UVZWBqD8LswKhULiSomooWB4IaIHolAo4OHhgcaNG6Nt27b43//+h40bN2LLli2IjY0FoH80Ra1W4/nnn4enpyesrKzg6+uL2bNnAwD8/PwAAIMHD4ZMJtM9v3jxIgYOHAh3d3fY2dmhffv22LFjh14dfn5++PDDD/Hkk0/C3t4ePj4+WLx4sd4yV69exejRo+Hi4gJbW1u0a9cOhw4d0r2+ceNGtG3bFlZWVggICMCsWbN0AYyI6g+GFyKqcd27d0fr1q2xbt26Sq99/vnn2LRpE9asWYPExESsWLFCF1KOHDkCAFi6dCnS09N1zwsKCtC3b1/s3LkTcXFxiI6OxoABA5Camqq37k8//RTt2rVDXFwcnnvuOUyePBmJiYm6dXTt2hVpaWnYtGkTTp48if/7v//Tnd76888/MW7cOEydOhVnz57FokWLEBsbiw8++KC2momI7td939KRiEze+PHjxcCBA+/42siRI0Xz5s2FEEIAEOvXrxdCCPHCCy+I7t27C61We8f3/XvZqoSGhoovvvhC99zX11eMGTNG91y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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# analytical solution\n", "def phi_analytical(r, r0):\n", " phi = np.zeros_like(r)\n", " phi[r < r0] = np.abs(r[r < r0]/r0)**2 - 3\n", " phi[r >= r0] = -2 * np.abs(r0/r[r >= r0])\n", " phi *= (4 * np.pi / 6) * r0**2\n", " return phi\n", "\n", "distance_steps = np.linspace(0, np.max(radial_distance), N)\n", "phi_a = phi_analytical(distance_steps, r0)\n", "plot_distribution(distance_steps, phi_a, 'Analytical potential distribution')" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "def acceleration(phi, grid, center, end):\n", " # line between center and end\n", " direction = (end - center / np.linalg.norm(end - center)).astype(int)\n", " print(direction)\n", " points = [center + i * direction for i in range(1, phi.shape[0]//2)]\n", " phi_values = phi[points]\n", " print(phi_values)\n", "\n", " a = - np.gradient(phi_values)\n", " return a\n", "\n", "a = acceleration(np.real(phi), grid, center, np.array([1, 1, 1]))\n" ] } ], "metadata": { "kernelspec": { "display_name": "projects-X-9bmgL6", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.1" } }, "nbformat": 4, "nbformat_minor": 2 }