{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# I downloaded Julia from here:\n", "# \n", "# https://juliacomputing.com/products/juliapro.html\n", "#\n", "# And I found these Julia-for-Python-Programmers-style cheatsheets useful:\n", "# \n", "# https://juliadocs.github.io/Julia-Cheat-Sheet/\n", "# https://cheatsheets.quantecon.org/\n", "# http://math.mit.edu/~stevenj/Julia-cheatsheet.pdf\n", "#\n", "# I needed to call this all of this code once (and only once) to get PyPlot\n", "# to work. The Julia interpreter gave me an error message about\n", "# mpl_toolkits.mplot3d not being installed, but afterwards \"using PyPlot\"\n", "# seemed to work anyway.\n", "#\n", "# ENV[\"PYTHON\"] = \"\"\n", "# Pkg.build(\"PyCall\")\n", "# Pkg.add(\"PyCall\")\n", "# Pkg.add(\"PyPlot\")\n", "#\n", "\n", "using PyPlot" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "-5.0:0.1:5.0" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "x_min = -5.0\n", "x_max = 5.0\n", "num_samples = 101\n", "dx = (x_max - x_min) / (num_samples - 1)\n", "\n", "# Create array with evenly spaced samples between min and max values.\n", "x = linspace(x_min,x_max,num_samples)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mu = 0.0 # mean\n", "sigma_sqr = 1.0 # variance\n", "sigma_sqr_inv = 1.0/sigma_sqr\n", "\n", "# Non-normalized 1D Gaussian function; can easily construct using\n", "# Matlab-style expression syntax, i.e., using an array as a scalar.\n", "G = exp.(-(1.0/2.0)*sigma_sqr_inv*(x - mu).^2.0)\n", "\n", "plot(x,G,label=L\"$\\mu = 0.0, \\sigma^2 = 1.0$\");\n", "legend();" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.5066271792963963\n" ] } ], "source": [ "# Simplest possible numerical integration.\n", "println(sum(G*dx))" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "meshgrid (generic function with 1 method)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# meshgrid function adapted from https://github.com/JuliaLang/julia/blob/master/examples/ndgrid.jl\n", "\n", "function meshgrid(vx::AbstractVector{T}, vy::AbstractVector{T}) where T\n", " m, n = length(vy), length(vx)\n", " vx = reshape(vx, 1, n)\n", " vy = reshape(vy, m, 1)\n", " return (repmat(vx, m, 1), repmat(vy, 1, n))\n", "end" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x1_min = -5.0\n", "x2_min = -5.0\n", "x1_max = 5.0\n", "x2_max = 5.0\n", "num_samples_x1 = 11\n", "num_samples_x2 = 11\n", "dx1 = (x1_max - x1_min) / (num_samples_x1 - 1)\n", "dx2 = (x2_max - x2_min) / (num_samples_x2 - 1)\n", "half_dx1 = 0.5*dx1\n", "half_dx2 = 0.5*dx2\n", "\n", "# Matlab-style meshgrid function.\n", "X2,X1 = meshgrid(linspace(x2_min,x2_max,num_samples_x2), linspace(x1_min,x1_max,num_samples_x1))\n", "\n", "pcolormesh(linspace(x2_min-half_dx2,x2_max+half_dx2,num_samples_x2+1),\n", " linspace(x1_min-half_dx1,x1_max+half_dx1,num_samples_x1+1),\n", " X1);\n", "plt[:gca]()[:set_aspect](\"equal\");\n", "colorbar();" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pcolormesh(linspace(x2_min-half_dx2,x2_max+half_dx2,num_samples_x2+1),\n", " linspace(x1_min-half_dx1,x1_max+half_dx1,num_samples_x1+1),\n", " X2);\n", "plt[:gca]()[:set_aspect](\"equal\");\n", "colorbar();" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Can easily use the output arrays from meshgrid in mathematical expressions.\n", "F = X1.^2.0 + X2.^2.0\n", "\n", "pcolormesh(linspace(x2_min-half_dx2,x2_max+half_dx2,num_samples_x2+1),\n", " linspace(x1_min-half_dx1,x1_max+half_dx1,num_samples_x1+1),\n", " F);\n", "plt[:gca]()[:set_aspect](\"equal\");\n", "colorbar();" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x1_min = -5.0\n", "x2_min = -5.0\n", "x1_max = 5.0\n", "x2_max = 5.0\n", "num_samples_x1 = 101\n", "num_samples_x2 = 101\n", "dx1 = (x1_max - x1_min) / (num_samples_x1 - 1)\n", "dx2 = (x2_max - x2_min) / (num_samples_x2 - 1)\n", "half_dx1 = 0.5*dx1\n", "half_dx2 = 0.5*dx2\n", "\n", "X2,X1 = meshgrid(linspace(x2_min,x2_max,num_samples_x2), linspace(x1_min,x1_max,num_samples_x1))\n", "\n", "F = X1.^2.0 + X2.^2.0\n", "\n", "plot_surface(X2,X1,F,cmap=\"viridis\");" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Non-normalized 2D Gaussian function.\n", "function G_func_2d(mu, Sigma_sqr_inv, x)\n", " G = exp.(-(1.0/2.0)*(x - mu)'*Sigma_sqr_inv*(x - mu))\n", " return G[1,1]\n", "end\n", "\n", "mu = [0 0]'\n", "Sigma_sqr_inv = [1 2; 2 10]\n", "# Sigma_sqr_inv = [1 0; 0 1]\n", "G = zeros(num_samples_x1,num_samples_x2)\n", "\n", "# Can also easily construct functions with explicit for-loops\n", "# noticeably faster than Python or Matlab.\n", "for i1 = 1:num_samples_x1\n", " for i2 = 1:num_samples_x2\n", " x = [ X1[i1,i2] X2[i1,i2] ]'\n", " G[i1,i2] = G_func_2d(mu, Sigma_sqr_inv, x)\n", " end\n", "end\n", "\n", "plot_surface(X2,X1,G,cmap=\"viridis\");" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pcolormesh(linspace(x2_min-half_dx2,x2_max+half_dx2,num_samples_x2+1),\n", " linspace(x1_min-half_dx1,x1_max+half_dx1,num_samples_x1+1),\n", " G);\n", "plt[:gca]()[:set_aspect](\"equal\");\n", "colorbar();" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject )" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Can slice arrays as in Matlab and Python.\n", "plot(X1[:,61],G[:,61]);" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 0.6.2", "language": "julia", "name": "julia-0.6" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.6.2" } }, "nbformat": 4, "nbformat_minor": 2 }