{ "metadata": { "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.8.5-final" }, "orig_nbformat": 2, "kernelspec": { "name": "python3", "display_name": "Python 3.8.5 64-bit (conda)", "metadata": { "interpreter": { "hash": "97ae724bfa85b9b34df7982b8bb8c7216f435b92902d749e4263f71162bea840" } } } }, "nbformat": 4, "nbformat_minor": 2, "cells": [ { "source": [ "# Some Basics" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "import hotstepper as hs\n", "from hotstepper import Step, Steps\n", "import hotstepper.samples as samples" ] }, { "source": [ "Define some primative step(s) and see what we can do with these building blocks." ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2021-03-10T07:51:33.766992\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.4, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n\r\n", "image/png": "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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "stp1 = Step(5,12,3)\n", "stp2 = Step(end=6,weight=2)\n", "stp3 = Step(3,weight=1.5)\n", "stp4 = Step(2,10)\n", "\n", "combined = Steps().add([stp1,stp2,stp3,stp4])\n", "\n", "ax = combined.plot(label='Combined',method='pretty')\n" ] }, { "source": [ "We can have a look at the individual step objects that have combined to make this Steps object.\n", "\n", "Steps, and Step are actually the same object under the hood, Step is a derived class for nothing other than it makes more sense to ask for a Step instead of Steps, they both behave the same and have the same methods and attributes." ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ] }, "metadata": {}, "execution_count": 3 }, { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2021-03-10T07:51:36.801360\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.4, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n\r\n", "image/png": "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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "\n", "ax = stp1.plot(label='stp1')\n", "stp2.plot(ax=ax,label='stp2')\n", "stp3.plot(ax=ax,label='stp3')\n", "stp4.plot(ax=ax,label='stp4')\n", "\n", "ax.legend()" ] }, { "source": [ "Ok, now we have some Step and Steps object, these behave like Numpy functions as well as Python objects, so we can, for examples, just pretend they are functions and we can plot them as such." ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2021-03-10T07:51:39.518565\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.4, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n\r\n", "image/png": "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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "fig, (ax1,ax2) = plt.subplots(nrows = 2, ncols=2, figsize=(22,12))\n", "x = np.arange(-2,15,0.01)\n", "\n", "ax1[0].step(x,stp1(x),label='stp1')\n", "ax1[1].step(x,stp2(x),label='stp2')\n", "ax2[0].step(x,stp3(x),label='stp3')\n", "ax2[1].step(x,stp4(x),label='stp4')\n", "\n", "ax1[0].step(x,stp1.smooth_step(x),label='smooth stp1')\n", "ax1[1].step(x,stp2.smooth_step(x,smooth_factor=0.7),label='smooth stp2')\n", "ax2[0].step(x,stp3.smooth_step(x,smooth_factor=0.7),label='smooth stp3')\n", "ax2[1].step(x,stp4.smooth_step(x),label='smooth stp4')\n", "\n", "ax1[0].legend();\n", "ax1[1].legend();\n", "ax2[0].legend();\n", "ax2[1].legend();\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2021-03-10T07:51:42.372114\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.4, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n\r\n", "image/png": "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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "fig, ax = plt.subplots(figsize=(10,6))\n", "x = np.arange(-2,15,0.001)\n", "\n", "smooth_fact1 = 0.5\n", "smooth_fact2 = 2\n", "\n", "ax.step(x,combined(x),label='combined')\n", "ax.step(x,combined.smooth_step(x,smooth_factor=smooth_fact1),label='smooth combined factor = {}'.format(smooth_fact1))\n", "ax.step(x,combined.smooth_step(x,smooth_factor=smooth_fact2),label='smooth combined factor = {}'.format(smooth_fact2))\n", "\n", "ax.legend();" ] }, { "source": [ "How about some math with steps?" ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2021-03-10T07:51:42.894124\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.4, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n\r\n", "image/png": "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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "combined_math = stp1 + stp2 + stp3 + stp4\n", "\n", "ax = combined_math.plot(figsize=(10,6),label='combined...')\n", "(combined_math/3).plot(ax=ax,label='combined/3')\n", "#(combined_math**1.5).plot(ax=ax,label='combined^1.5')\n", "(combined_math**-1).plot(ax=ax,label='combined^-1 or 1/combined')\n", "\n", "ax.set_title('Look familiar?, perhaps we all live in a purple submarine....');\n", "ax.legend();" ] }, { "source": [ "Alright, let's do some fancy stuff." ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2021-03-10T07:51:43.391095\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.4, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n\r\n", "image/png": "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\n" }, "metadata": { "needs_background": "light" } }, { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2021-03-10T07:51:43.669122\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.4, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n\r\n", "image/png": "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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "#for reference\n", "# stp1 = Step(5,12,3)\n", "# stp2 = Step(end=6,weight=2)\n", "# stp3 = Step(3,weight=1.5)\n", "# stp4 = Step(2,10)\n", "\n", "st12 = stp1*stp2\n", "st34 = stp3*stp4\n", "\n", "ax = st12.plot(label='st12',figsize=(10,6))\n", "st34.plot(ax=ax,label='st34')\n", "ax.legend();\n", "\n", "ax = (st34-st12).plot(label='st34 - st12',figsize=(10,6))\n", "((st34-st12 + 1) >> 3).plot(ax=ax,label='(st34 - st12 + 1) >> 3',linestyle=\":\")\n", "(st34-st12 + 5).plot(ax=ax,label='st34-st12 + 5',linestyle=\"-.\")\n", "ax.legend();\n" ] }, { "source": [ "We used the shift operator >> to shift the Steps +3 to the right, if we wanted to go back 3, what do you think? (yes, <<).\n", "\n", "We also added some constant values to move them around alittle for better visuals and to show that we can just add numbers directly, as these are numpy functions as well as Python objects." ], "cell_type": "markdown", "metadata": {} }, { "source": [ "Ok, the last thing for the, hrmm, basic tutorial is some filtering, the easiest way to think of this is whatever boolean condition you would want to use to filter the steps data with, just apply that expression directly to the steps object, for examples." ], "cell_type": "markdown", "metadata": {} }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "display_data", "data": { "text/plain": "
", "image/svg+xml": "\r\n\r\n\r\n\r\n \r\n \r\n \r\n \r\n 2021-03-10T07:51:44.273671\r\n image/svg+xml\r\n \r\n \r\n Matplotlib v3.3.4, https://matplotlib.org/\r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n \r\n\r\n", "image/png": "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\n" }, "metadata": { "needs_background": "light" } } ], "source": [ "fig, (ax1,ax2) = plt.subplots(nrows = 2, ncols=2, figsize=(22,12))\n", "\n", "combined.plot(ax=ax1[0],label='combined')\n", "(combined > 5).plot(ax=ax1[0], label='combined > 5')\n", "(combined == 4.5).plot(ax=ax1[1], label='combined == 4.5',linestyle=':')\n", "(combined < 4).plot(ax=ax1[1], label='combined < 4')\n", "\n", "((combined > 4) < 6).plot(ax=ax2[0], label='(combined > 4) < 6')\n", "((combined > 4) < 6).normalise().plot(ax=ax2[0], label='(combined > 4) < 6 | normlised', linestyle='-.')\n", "\n", "(combined == 4.5).normalise().reflect().plot(ax=ax2[1], label='combined == 4.5 | normalise | reflected',linestyle=':')\n", "(-(combined < 4)).plot(ax=ax2[1], label='-(combined < 4)')\n", "\n", "ax1[0].legend();\n", "ax1[1].legend();\n", "ax2[0].legend();\n", "ax2[1].legend();" ] } ] }