{ "cells": [ { "cell_type": "code", "execution_count": 25, "metadata": { "ExecuteTime": { "end_time": "2018-10-25T06:26:14.102152Z", "start_time": "2018-10-25T06:26:14.026982Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy import interpolate\n", "from jupyterthemes import jtplot\n", "jtplot.style(grid=False, fscale=0.8)\n", "\n", "layer_thickness = 5.0 #in nm, we will use this throughout\n", "num_layers = 200 # this give us a 1um thick sample \n", "uni = np.linspace(0, num_layers, num_layers, endpoint=False)\n", "\n", "d_array = np.array(num_layers*[layer_thickness])\n", "\n", "\n", "samps = int(np.random.uniform(30, 180, 1))\n", "scales = np.random.uniform(0.05, 0.5, 1)\n", "s = np.linspace(-1,201, samps)\n", "fr = np.clip(np.random.normal(loc=0.5, scale=scales, size=samps), 0, 1)\n", "f = interpolate.interp1d(s, fr, kind='quadratic', assume_sorted=True)\n", "\n", "q_x = np.clip( f(uni), 0, 1)\n", "\n", "\n", "\n", "\n", "# samps = int(np.random.uniform(20, 80, 1))\n", "# scales = np.random.uniform(0.05, 0.5, 1)\n", "\n", "\n", "# s = np.linspace(0,101, samps)\n", "# fr = np.clip(np.random.normal(loc=0.5, scale=scales, size=samps), 0, 1)\n", "# f = interpolate.interp1d(s, fr, kind='quadratic', assume_sorted=True)\n", "\n", "\n", "plt.figure(figsize=(10,2))\n", "# #plt.scatter(s, fr)\n", "plt.plot(uni, q_x )\n", "plt.ylim(-0.1,1.1)\n", "plt.show()\n", "\n", "\n", "#f(uni)" ] }, { "cell_type": "code", "execution_count": 163, "metadata": { "ExecuteTime": { "end_time": "2018-10-24T05:59:21.648600Z", "start_time": "2018-10-24T05:59:21.568039Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "from matplotlib import animation\n", "from noise import pnoise1, pnoise3\n", "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", "#plt.rcParams['savefig.dpi'] = 120\n", "#sns.set_color_codes()\n", "\n", "numPoints = 81\n", "pos = np.linspace(0, 101, num = numPoints)\n", "\n", "# Generate the signal one element at a time\n", "signal = np.zeros(numPoints)\n", "\n", "for ctr, x in enumerate(pos):\n", " octa = np.random.uniform(1,12,1)\n", " pers = np.random.uniform(0, 6.2, 1)\n", " #signal[ctr] = pnoise1(x, octaves=3, persistence=2.4)\n", " signal[ctr] = np.clip((0.5 + pnoise1(x, octaves=octa, persistence=pers)), 0,1)\n", "\n", "plt.plot(pos, signal)\n", "plt.ylim(0,1)\n", "plt.xlabel('Distance')\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "ExecuteTime": { "end_time": "2018-10-24T05:19:33.884782Z", "start_time": "2018-10-24T05:19:33.878731Z" } }, "outputs": [], "source": [ "np.random.choice([3,4,5],1)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.7.0" }, "latex_envs": { "LaTeX_envs_menu_present": true, "autoclose": false, "autocomplete": true, "bibliofile": "biblio.bib", "cite_by": "apalike", "current_citInitial": 1, "eqLabelWithNumbers": true, "eqNumInitial": 1, "hotkeys": { "equation": "Ctrl-E", "itemize": "Ctrl-I" }, "labels_anchors": false, "latex_user_defs": false, "report_style_numbering": false, "user_envs_cfg": false } }, "nbformat": 4, "nbformat_minor": 2 }