{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Special functions" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the following demo, we demonstrate use cases of two functions that may be imported from the `gradpy.math` module: `Sin` and `Exp`, as examples of how the derivative of expressions incorporating these special functions may be obtained." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from gradpy.autodiff import Var\n", "from gradpy.math import Sin, Exp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `Sin` function\n", "\n", "We begin by defining a single-variable function\n", "\n", "$$\n", "f(x) = 2\\sin\\left(x\\right)\n", "$$\n", "\n", "in terms of $x$, whose value is uninitialized." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "x = Var()\n", "f = 2*Sin(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We compute the value of $f$ and its derivative with respect to $x$ at selected points on the interval $[0,8\\pi]$ by assigning variable $x$ its value at each point, evaluating the `value` attribute of $f$, and computing the derivative with the `der` method." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "xval = np.arange(0,8*np.pi+.01,0.01)\n", "fval = np.zeros(len(xval))\n", "fder = np.zeros(len(xval))\n", "for i, val in enumerate(xval):\n", " x.set_value(val)\n", " fval[i] = f.value\n", " fder[i] = f.der(x)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we plot $f$ and its derivative, along with the analytical solution $f^{\\prime}(x) = 2\\cos\\left(x\\right)$ for comparison." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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2rS78B3T1cbwTubpOPiHb9MylzctUrLgIvH2yFYiJhn7R9ETGqHLVsrZ0MwBO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6TAr4mjpYY7SrLnYcqcdIQQiJRUodZMLnCFBpoJk48iJRxZcRzLj/0h1SlDzeSjaAsBVk6D95/J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\nm6PYAtoSpNSfdHOGYyE+9OR1/P7Yz83z+mI8kT7t3OMnHsTn9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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1,figsize=(10,6))\n", "ax.plot(xval, 2*np.cos(xval), linewidth=7, alpha=0.2, label='$2\\\\cos(x)$')\n", "ax.plot(xval, fval, label='$f(x)$')\n", "ax.plot(xval, fder, linestyle='dashed', label='$f^{\\\\prime}(x)$')\n", "\n", "plt.xticks(size=14)\n", "plt.yticks(size=14)\n", "plt.legend(fontsize=14)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `Exp` function\n", "\n", "Next we look at a common mathematical model involving the exponential - the logistic equation for population growth:\n", "\n", "$$\n", "N(t) = \\dfrac{K}{1+\\left(\\dfrac{K}{N_i}-1\\right)e^{-rt}}\n", "$$\n", "\n", "where\n", "$N(t)$ is the population at time $t$,\n", "\n", "$r$ is the rate of maximum population growth,\n", "\n", "$K$ is the carrying capacity, and\n", "\n", "$N_i$ is the initial population at $t=0$.\n", "\n", "As we will seek the derivative of the model with respect to $t$, we use the `autodiff.math` module's `Exp` function when defining the `logistic_growth` function:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def logistic_growth(t,r,K,Ni):\n", " # r is the rate of maximum population growth\n", " # K is the carrying capacity\n", " # Ni is the initial population\n", " # returns the population at time t\n", " fac = (K/Ni-1)\n", " return K/(1+fac*Exp(-r*t))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We track the evolution of a population with a maximum growth rate $r=0.5$, carrying capacity $K$ normalized to 1, and varied initial population sizes $N_i \\in [0.05,0.95]$, on a time interval $t = [0,10]$. The variable $t$ is an `autodiff` variable, so we can compute the derivative of $N$ with respect to $t$ corresponding to each $N_i$ and timestep." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "t = Var()\n", "r = 0.5\n", "K = 1\n", "Ns = np.arange(0.05,1,0.05)\n", "\n", "tval = np.arange(0,10.01,0.01)\n", "Nval = np.zeros((len(Ns),len(tval)))\n", "Nder = np.zeros((len(Ns),len(tval)))\n", "\n", "for i,Ni in enumerate(Ns):\n", " N = logistic_growth(t,r,K,Ni)\n", " for j, val in enumerate(tval):\n", " t.set_value(val)\n", " Nval[i,j] = N.value\n", " Nder[i,j] = N.der(t)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we visualize the results below." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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rte7AVh+4NqC1Nd6NqYcVWIVmITACWsEZCE4j9ODj3dNoQX0TWduA+gbUNpC1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X4Mr569cKqi3FueePQMoeNno/f2xH94X/SeyoRI0+9Ec2nYXxhjEiky4j3cqior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\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IdCkjUeLSutQ5U1ubcJUexjR2BkJR6Pz0New716OLG4QhfQTGtOEeaYzgn37+Nbsdx9Gj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\n7tq7GX7uHlBCtKmcyLnvwEulyK+6F28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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1,ax2) = plt.subplots(2,1,figsize=(10,10))\n", "cmap = plt.cm.get_cmap('plasma')\n", "for i,Ni in enumerate(Ns):\n", " col = cmap(Ni)\n", " ax1.plot(tval, Nval[i,:], color=col)\n", " ax2.plot(tval, Nder[i,:], color=col, linestyle='dashed')\n", "\n", "# axes\n", "ax1.set_xlabel('$t$',size=14)\n", "ax1.set_ylabel('$N(t)$',size=14)\n", "ax1.tick_params(labelsize=14)\n", "ax2.set_xlabel('$t$',size=14)\n", "ax2.set_ylabel('$N^{\\\\prime}(t)$',size=14)\n", "ax2.tick_params(labelsize=14)\n", "\n", "# colorbars\n", "sm = plt.cm.ScalarMappable(cmap=cmap)\n", "sm.set_array([])\n", "cbar1 = plt.colorbar(sm, ax=ax1)\n", "cbar1.set_label('$N_i$',size=14)\n", "cbar1.ax.tick_params(labelsize=14) \n", "cbar2 = plt.colorbar(sm, ax=ax2)\n", "cbar2.set_label('$N_i$',size=14)\n", "cbar2.ax.tick_params(labelsize=14) \n", "\n", "plt.show()" ] } ], "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": "3.6.6" } }, "nbformat": 4, "nbformat_minor": 2 }