{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Chebychev polynomial and spline approximantion of various functions\n", "\n", "**Randall Romero Aguilar, PhD**\n", "\n", "This demo is based on the original Matlab demo accompanying the Computational Economics and Finance 2001 textbook by Mario Miranda and Paul Fackler.\n", "\n", "Original (Matlab) CompEcon file: **demapp05.m**\n", "\n", "Running this file requires the Python version of CompEcon. This can be installed with pip by running\n", "\n", " !pip install compecon --upgrade\n", "\n", "Last updated: 2021-Oct-01\n", "
" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## About" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Demonstrates Chebychev polynomial, cubic spline, and linear spline approximation for the following functions\n", "\\begin{align}\n", " y &= 1 + x + 2x^2 - 3x^3 \\\\\n", " y &= \\exp(-x) \\\\\n", " y &= \\frac{1}{1+25x^2} \\\\\n", " y &= \\sqrt{|x|} \n", "\\end{align}" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initial tasks" ] }, { "cell_type": "code", "execution_count": 1, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "from compecon import BasisChebyshev, BasisSpline, nodeunif" ], "metadata": { "collapsed": false, "pycharm": { "name": "#%%\n" } } }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Functions to be approximated" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "funcs = [lambda x: 1 + x + 2 * x ** 2 - 3 * x ** 3,\n", " lambda x: np.exp(-x),\n", " lambda x: 1 / ( 1 + 25 * x ** 2),\n", " lambda x: np.sqrt(np.abs(x))]\n", "\n", "fst = ['$y = 1 + x + 2x^2 - 3x^3$', '$y = \\exp(-x)$', \n", " '$y = 1/(1+25x^2)$', '$y = \\sqrt{|x|}$']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Set degree of approximation and endpoints of approximation interval" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "n = 7 # degree of approximation\n", "a = -1 # left endpoint\n", "b = 1 # right endpoint" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Construct uniform grid for error ploting" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(a, b, 2001)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def subfig(f, title):\n", " \n", " # Construct interpolants\n", " C = BasisChebyshev(n, a, b, f=f)\n", " S = BasisSpline(n, a, b, f=f)\n", " L = BasisSpline(n, a, b, k=1, f=f)\n", " \n", " data = pd.DataFrame({\n", " 'actual': f(x),\n", " 'Chebyshev': C(x),\n", " 'Cubic Spline': S(x),\n", " 'Linear Spline': L(x)},\n", " index = x)\n", "\n", " fig1, axs = plt.subplots(2,2, figsize=[12,6], sharex=True, sharey=True)\n", " fig1.suptitle(title) \n", " data.plot(ax=axs, subplots=True)\n", "\n", " errors = data[['Chebyshev', 'Cubic Spline']].subtract(data['actual'], axis=0)\n", " \n", " fig2, ax = plt.subplots(figsize=[12,3])\n", " fig2.suptitle(\"Approximation Error\") \n", " errors.plot(ax=ax)\n", " \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Polynomial \n", "$y = 1 + x + 2x^2 - 3x^3$" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": "
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\n" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": "
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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "subfig(lambda x: 1 + x + 2*x**2 - 3*x**3, '$y = 1 + x + 2x^2 - 3x^3$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exponential\n", "$y = \\exp(-x)$" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": "
", "image/png": 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\n" 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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "subfig(lambda x: np.exp(-x),'$y = \\exp(-x)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Rational\n", "$y = 1/(1+25x^2)$" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": "
", "image/png": 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\n" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": "
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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "subfig(lambda x: 1 / ( 1 + 25 * x ** 2),'$y = 1/(1+25x^2)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Kinky\n", "$y = \\sqrt{|x|}$" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": "
", "image/png": 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\n" 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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "subfig(lambda x: np.sqrt(np.abs(x)), '$y = \\sqrt{|x|}$')" ] } ], "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": "3.8.3" } }, "nbformat": 4, "nbformat_minor": 4 }