From 02d004dcadabc3a292818d1957a3782d47a63cb1 Mon Sep 17 00:00:00 2001 From: "Ryan C. 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mode 100644 05_consistent coding/my_caller.m create mode 100644 05_consistent coding/my_function.m create mode 100644 05_consistent coding/nitrogen_pressure.m create mode 100644 05_consistent coding/octave-workspace create mode 100644 05_consistent coding/q1.png create mode 100644 05_consistent coding/q2.png create mode 100644 05_consistent coding/setdefaults.m create mode 100644 README.html diff --git a/01_Introduction/.ipynb_checkpoints/lecture_01-Copy1-checkpoint.ipynb b/01_Introduction/.ipynb_checkpoints/lecture_01-Copy1-checkpoint.ipynb new file mode 100644 index 0000000..495f361 --- /dev/null +++ b/01_Introduction/.ipynb_checkpoints/lecture_01-Copy1-checkpoint.ipynb @@ -0,0 +1,418 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Freefall Model\n", + "## Octave solution (will run same on Matlab)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%plot --format svg" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [], + "source": [ + "set (0, \"defaultaxesfontname\", \"Helvetica\")\n", + "set (0, \"defaultaxesfontsize\", 18)\n", + "set (0, \"defaulttextfontname\", \"Helvetica\")\n", + "set (0, \"defaulttextfontsize\", 18) \n", + "set (0, \"defaultlinelinewidth\", 4)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Define time from 0 to 12 seconds\n", + "\n", + "t=[0,2,4,6,8,10,12]'" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "t =\n", + "\n", + " 0\n", + " 2\n", + " 4\n", + " 6\n", + " 8\n", + " 10\n", + " 12\n", + "\n", + "t =\n", + "\n", + " 0\n", + " 2\n", + " 4\n", + " 6\n", + " 8\n", + " 10\n", + " 12\n", + "\n" + ] + } + ], + "source": [ + "t=[0,2,4,6,8,10,12]'\n", + "% or\n", + "t=[0:2:12]'" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Define constants and analytical solution (meters-kilogram-sec)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "v_analytical =\n", + "\n", + " 0.00000\n", + " 18.61630\n", + " 32.45521\n", + " 40.64183\n", + " 44.84646\n", + " 46.84974\n", + " 47.77002\n", + "\n" + ] + } + ], + "source": [ + "c=0.25; m=60; g=9.81; v_terminal=sqrt(m*g/c);\n", + "\n", + "v_analytical = v_terminal*tanh(g*t/v_terminal)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "v_numerical =\n", + "\n", + " 0.00000\n", + " 19.62000\n", + " 36.03213\n", + " 44.83284\n", + " 47.70298\n", + " 48.35986\n", + " 48.49089\n", + "\n" + ] + } + ], + "source": [ + "v_numerical=zeros(length(t),1);\n", + "for i=1:length(t)-1\n", + " v_numerical(i+1)=v_numerical(i)+(g-c/m*v_numerical(i)^2)*2;\n", + "end\n", + "v_numerical" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Display time, velocity (analytical) and velocity (numerical)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "time (s)|vel analytical (m/s)|vel numerical (m/s)\n", + "-----------------------------------------------\n", + " 0.0 | 0.00 | 0.00\n", + " 2.0 | 18.62 | 19.62\n", + " 4.0 | 32.46 | 36.03\n", + " 6.0 | 40.64 | 44.83\n", + " 8.0 | 44.85 | 47.70\n", + " 10.0 | 46.85 | 48.36\n", + " 12.0 | 47.77 | 48.49\n" + ] + } + ], + "source": [ + "fprintf('time (s)|vel analytical (m/s)|vel numerical (m/s)\\n')\n", + "fprintf('-----------------------------------------------')\n", + "M=[t,v_analytical,v_numerical];\n", + "fprintf('%7.1f | %18.2f | %15.2f\\n',M(:,1:3)');" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", 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"\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(t,v_analytical,'-',t,v_numerical,'o-')" + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "0.19.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/01_Introduction/lecture_01-Copy1.ipynb b/01_Introduction/lecture_01-Copy1.ipynb new file mode 100644 index 0000000..fa4f5eb --- /dev/null +++ b/01_Introduction/lecture_01-Copy1.ipynb @@ -0,0 +1,448 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Freefall Model\n", + "## Octave solution (will run same on Matlab)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "An object falling is subject to the force of \n", + "\n", + "- gravity ($F_g$=mg) and \n", + "- drag ($F_d=cv^2$)\n", + "\n", + "Acceleration of the object:\n", + "\n", + "$\\sum F=ma=F_g-F_d=mg - cv^2 = m\\frac{dv}{dt}$\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%plot --format svg" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Define time from 0 to 12 seconds\n", + "\n", + "t=[0,2,4,6,8,10,12]'" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "t=[0,2,4,6,8,10,12]';\n", + "% or \n", + "t=[0:2:12]';" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Define constants and analytical solution (meters-kilogram-sec)\n", + "\n", + "g=9.81 m/s$^2$, c=0.25 kg/m, m=60 kg\n", + "\n", + "$v_{terminal}=\\sqrt{\\frac{mg}{c}}$\n", + "\n", + "$v=v_{terminal}\\tanh{\\left(\\frac{gt}{v_{terminal}}\\right)}$" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "v_terminal = 48.522\n", + "v_analytical =\n", + "\n", + " 0.00000\n", + " 18.61630\n", + " 32.45521\n", + " 40.64183\n", + " 44.84646\n", + " 46.84974\n", + " 47.77002\n", + "\n" + ] + } + ], + "source": [ + "c=0.25; m=60; g=9.81; v_terminal=sqrt(m*g/c)\n", + "\n", + "v_analytical = v_terminal*tanh(g*t/v_terminal)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Define numerical method\n", + "#### Finite difference approximation\n", + "\n", + "$\\frac{v(t_{i+1})-v(t_{i})}{t_{i+1}-t_{i}}=g-\\frac{c}{m}v(t_{i})^2$\n", + "\n", + "solve for $v(t_{i+1})$\n", + "\n", + "$v(t_{i+1})=v(t_{i})+\\left(g-\\frac{c}{m}v(t_{i})^2\\right)(t_{i+1}-t_{i})$\n", + "\n", + "or\n", + "\n", + "$v(t_{i+1})=v(t_{i})+\\frac{dv_{i}}{dt}(t_{i+1}-t_{i})$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "v_numerical =\n", + "\n", + " 0.00000\n", + " 19.62000\n", + " 36.03213\n", + " 44.83284\n", + " 47.70298\n", + " 48.35986\n", + " 48.49089\n", + "\n" + ] + } + ], + "source": [ + "v_numerical=zeros(length(t),1);\n", + "for i=1:length(t)-1\n", + " v_numerical(i+1)=v_numerical(i)+(g-c/m*v_numerical(i)^2)*2;\n", + "end\n", + "v_numerical" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Display time, velocity (analytical) and velocity (numerical)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "time (s)|vel analytical (m/s)|vel numerical (m/s)\n", + "-----------------------------------------------\n", + " 0.0 | 0.00 | 0.00\n", + " 2.0 | 18.62 | 19.62\n", + " 4.0 | 32.46 | 36.03\n", + " 6.0 | 40.64 | 44.83\n", + " 8.0 | 44.85 | 47.70\n", + " 10.0 | 46.85 | 48.36\n", + " 12.0 | 47.77 | 48.49\n" + ] + } + ], + "source": [ + "fprintf('time (s)|vel analytical (m/s)|vel numerical (m/s)\\n')\n", + "fprintf('-----------------------------------------------')\n", + "M=[t,v_analytical,v_numerical];\n", + "fprintf('%7.1f | %18.2f | %15.2f\\n',M(:,1:3)');" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "set (0, \"defaultaxesfontname\", \"Helvetica\")\n", + "set (0, \"defaultaxesfontsize\", 18)\n", + "set (0, \"defaulttextfontname\", \"Helvetica\")\n", + "set (0, \"defaulttextfontsize\", 18) \n", + "set (0, \"defaultlinelinewidth\", 4)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + 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}, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/01_Introduction/lecture_01.ipynb b/01_Introduction/lecture_01.ipynb new file mode 100644 index 0000000..307bc0c --- /dev/null +++ b/01_Introduction/lecture_01.ipynb @@ -0,0 +1,366 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Freefall Model\n", + "## Octave solution (will run same on Matlab)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "%plot --format svg" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "set (0, \"defaultaxesfontname\", \"Helvetica\")\n", + "set (0, \"defaultaxesfontsize\", 18)\n", + "set (0, \"defaulttextfontname\", \"Helvetica\")\n", + "set (0, \"defaulttextfontsize\", 18) \n", + "set (0, \"defaultlinelinewidth\", 4)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Define time from 0 to 12 seconds" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "t =\n", + "\n", + " 0\n", + " 2\n", + " 4\n", + " 6\n", + " 8\n", + " 10\n", + " 12\n", + "\n" + ] + } + ], + "source": [ + "t=[0,2,4,6,8,10,12]'" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Define constants and analytical solution (meters-kilogram-sec)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "v_analytical =\n", + "\n", + " 0.00000\n", + " 18.61630\n", + " 32.45521\n", + " 40.64183\n", + " 44.84646\n", + " 46.84974\n", + " 47.77002\n", + "\n" + ] + } + ], + "source": [ + "c=0.25; m=60; g=9.81; v_terminal=sqrt(m*g/c);\n", + "\n", + "v_analytical = v_terminal*tanh(g*t/v_terminal)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "v_numerical =\n", + "\n", + " 0.00000\n", + " 19.62000\n", + " 36.03213\n", + " 44.83284\n", + " 47.70298\n", + " 48.35986\n", + " 48.49089\n", + "\n" + ] + } + ], + "source": [ + "v_numerical=zeros(length(t),1);\n", + "for i=1:length(t)-1\n", + " v_numerical(i+1)=v_numerical(i)+(g-c/m*v_numerical(i)^2)*2;\n", + "end\n", + "v_numerical" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Display time, velocity (analytical) and velocity (numerical)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "time (s)|vel analytical (m/s)|vel numerical (m/s)\n", + "-----------------------------------------------\n", + " 0.0 | 0.00 | 0.00\n", + " 2.0 | 18.62 | 19.62\n", + " 4.0 | 32.46 | 36.03\n", + " 6.0 | 40.64 | 44.83\n", + " 8.0 | 44.85 | 47.70\n", + " 10.0 | 46.85 | 48.36\n", + " 12.0 | 47.77 | 48.49\n" + ] + } + ], + "source": [ + "fprintf('time (s)|vel analytical (m/s)|vel numerical (m/s)\\n')\n", + "fprintf('-----------------------------------------------')\n", + "M=[t,v_analytical,v_numerical];\n", + "fprintf('%7.1f | %18.2f | %15.2f\\n',M(:,1:3)');" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\t\n", + "\t\n", + "\n", + "\n", + "\n", + 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], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(t,v_analytical,'-',t,v_numerical,'o-')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "0.19.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/01_Introduction/lecture_01.md b/01_Introduction/lecture_01.md new file mode 100644 index 0000000..807e888 --- /dev/null +++ b/01_Introduction/lecture_01.md @@ -0,0 +1,111 @@ + +# Freefall Model +## Octave solution (will run same on Matlab) + + +```octave +%plot --format svg +``` + + +```octave +set (0, "defaultaxesfontname", "Helvetica") +set (0, "defaultaxesfontsize", 18) +set (0, "defaulttextfontname", "Helvetica") +set (0, "defaulttextfontsize", 18) +set (0, "defaultlinelinewidth", 4) +``` + +Define time from 0 to 12 seconds + + +```octave +t=[0,2,4,6,8,10,12]' +``` + + t = + + 0 + 2 + 4 + 6 + 8 + 10 + 12 + + + +Define constants and analytical solution (meters-kilogram-sec) + + +```octave +c=0.25; m=60; g=9.81; v_terminal=sqrt(m*g/c); + +v_analytical = v_terminal*tanh(g*t/v_terminal) +``` + + v_analytical = + + 0.00000 + 18.61630 + 32.45521 + 40.64183 + 44.84646 + 46.84974 + 47.77002 + + + + +```octave +v_numerical=zeros(length(t),1); +for i=1:length(t)-1 + v_numerical(i+1)=v_numerical(i)+(g-c/m*v_numerical(i)^2)*2; +end +v_numerical +``` + + v_numerical = + + 0.00000 + 19.62000 + 36.03213 + 44.83284 + 47.70298 + 48.35986 + 48.49089 + + + +Display time, velocity (analytical) and velocity (numerical) + + +```octave +fprintf('time (s)|vel analytical (m/s)|vel numerical (m/s)\n') +fprintf('-----------------------------------------------') +M=[t,v_analytical,v_numerical]; +fprintf('%7.1f | %18.2f | %15.2f\n',M(:,1:3)'); +``` + + time (s)|vel analytical (m/s)|vel numerical (m/s) + ----------------------------------------------- + 0.0 | 0.00 | 0.00 + 2.0 | 18.62 | 19.62 + 4.0 | 32.46 | 36.03 + 6.0 | 40.64 | 44.83 + 8.0 | 44.85 | 47.70 + 10.0 | 46.85 | 48.36 + 12.0 | 47.77 | 48.49 + + + +```octave +plot(t,v_analytical,'-',t,v_numerical,'o-') +``` + + +![plot of +velocities](https://github.uconn.edu/rcc02007/ME3255S2017/blob/master/lecture_01/output_10_0.svg) + + diff --git a/01_Introduction/lecture_01.pdf b/01_Introduction/lecture_01.pdf new file mode 100644 index 0000000000000000000000000000000000000000..c54f29efb484d0c493c9867e5083470b86307859 GIT binary patch literal 319099 zcmeFZ1yo#1_Ai_Sf;%C&6G(7(2@)iDaCdjt#x)5LAb4;K!QGtz!QC2Y2u|Zp1I^du z&b@Qz&HcXrtheTUYu;K@yH|IeU3Kcz`PJUL_UW^$UMNXOGO;mpqP*zN>u%|;>&`@B zr(mUUFt$b!6l9Szv$t@yq~L&Y-myqp*}9rJvq;(+xtd9snK+o52@9jRxH_8|*`auT 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"b/01_Introduction/\340\204\264\001" new file mode 100644 index 0000000..e69de29 diff --git "a/01_Introduction/\360\006\336\001" "b/01_Introduction/\360\006\336\001" new file mode 100644 index 0000000..e69de29 diff --git a/02_Roundoff-Truncation errors/.ipynb_checkpoints/lecture_02-checkpoint.ipynb b/02_Roundoff-Truncation errors/.ipynb_checkpoints/lecture_02-checkpoint.ipynb new file mode 100644 index 0000000..e9d80ec --- /dev/null +++ b/02_Roundoff-Truncation errors/.ipynb_checkpoints/lecture_02-checkpoint.ipynb @@ -0,0 +1,533 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%plot --format svg" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Errors in Numerical Modeling\n", + "\n", + "## 1 - Roundoff \n", + "## 2 - Truncation" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# 1- Roundoff" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Just storing a number in a computer requires rounding\n", + "\n", + "1. digital representation of a number is rarely exact\n", + "\n", + "2. arithmetic (+,-,/,\\*) causes roundoff error" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.14159265358979311600\n", + "3.14159274101257324219\n" + ] + } + ], + "source": [ + "fprintf('%1.20f\\n',double(pi)) % 64-bit\n", + "fprintf('%1.20f\\n',single(pi)) % 32-bit" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "realmax = 1.79769313486231570815e+308\n", + "realmin = 2.22507385850720138309e-308\n", + "maximum relative error = 2.22044604925031308085e-16\n" + ] + } + ], + "source": [ + "fprintf('realmax = %1.20e\\n',realmax)\n", + "fprintf('realmin = %1.20e\\n',realmin)\n", + "fprintf('maximum relative error = %1.20e\\n',eps)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Machine epsilon\n", + "\n", + "Smallest number that can be added to 1 and change the value in a computer" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans = 0\n", + "ans = 1.1102e-12\n" + ] + } + ], + "source": [ + "s=1;\n", + "for i=1:10000\n", + " s=s+eps/2;\n", + "end\n", + "s-1\n", + "10000*eps/2" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# 2- Truncation error\n", + "## Freefall is example of \"truncation error\"\n", + "### Truncation error results from approximating exact mathematical procedure\n", + "\n", + "We approximated the derivative as $\\delta v/\\delta t\\approx\\Delta v/\\Delta t$\n", + "\n", + "Can reduce error by decreasing step size -> $\\Delta t$=`delta_time`" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Truncation error as a Taylor series " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Taylor series:\n", + "$f(x)=f(a)+f'(a)(x-a)+\\frac{f''(a)}{2!}(x-a)^{2}+\\frac{f'''(a)}{3!}(x-a)^{3}+...$\n", + "\n", + "We can approximate the next value in a function by adding Taylor series terms:\n", + "\n", + "|Approximation | formula |\n", + "|---|-------------------------|\n", + "|$0^{th}$-order | $f(x_{i+1})=f(x_{i})+R_{1}$ |\n", + "|$1^{st}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+R_{2}$ |\n", + "|$2^{nd}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+\\frac{f''(x_{i})}{2!}h^{2}+R_{3}$|\n", + "|$n^{th}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+\\frac{f''(x_{i})}{2!}h^{2}+...\\frac{f^{(n)}}{n!}h^{n}+R_{n}$|\n", + "\n", + "Where $R_{n}=O(h^{n+1})$ is the error associated with truncating the approximation at order $n$." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "![3](https://media.giphy.com/media/xA7G2n20MzTOw/giphy.gif)\n", + "\n", + "$n^{th}$-order approximation equivalent to \n", + "an $n^{th}$-order polynomial. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Thanks" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Freefall Model (revisited)\n", + "## Octave solution (will run same on Matlab)\n", + "\n", + "## Create function called `freefall.m`\n", + "\n", + "Define time from 0 to 12 seconds with `N` timesteps \n", + "function defined as `freefall`\n", + "\n", + "m=60 kg, c=0.25 kg/m" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Set default values in Octave for linewidth and text size" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "set (0, \"defaultaxesfontsize\", 18)\n", + "set (0, \"defaulttextfontsize\", 18) \n", + "set (0, \"defaultlinelinewidth\", 4)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Freefall example\n", + "\n", + "Estimated the function with a $1^{st}$-order approximation, so \n", + "\n", + "$v(t_{i+1})=v(t_{i})+v'(t_{i})(t_{i+1}-t_{i})+R_{1}$\n", + "\n", + "$v'(t_{i})=\\frac{v(t_{i+1})-v(t_{i})}{t_{i+1}-t_{i}}-\\frac{R_{1}}{t_{i+1}-t_{i}}$\n", + "\n", + "$\\frac{R_{1}}{t_{i+1}-t_{i}}=\\frac{v''(\\xi)}{2!}(t_{i+1}-t_{i})$\n", + "\n", + "or the truncation error for a first-order Taylor series approximation is\n", + "\n", + "$\\frac{R_{1}}{t_{i+1}-t_{i}}=O(\\Delta t)$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "function [v_analytical,v_terminal,t]=freefall(N)\n", + " t=linspace(0,12,N)';\n", + " c=0.25; m=60; g=9.81; v_terminal=sqrt(m*g/c);\n", + "\n", + " v_analytical = v_terminal*tanh(g*t/v_terminal);\n", + " v_numerical=zeros(length(t),1);\n", + " delta_time =diff(t);\n", + " for i=1:length(t)-1\n", + " v_numerical(i+1)=v_numerical(i)+(g-c/m*v_numerical(i)^2)*delta_time(i);\n", + " end\n", + " % Print values near 0,2,4,6,8,10,12 seconds\n", + " indices = round(linspace(1,length(t),7));\n", + " fprintf('time (s)|vel analytical (m/s)|vel numerical (m/s)\\n')\n", + " fprintf('-----------------------------------------------\\n')\n", + " M=[t(indices),v_analytical(indices),v_numerical(indices)];\n", + " fprintf('%7.1f | %18.2f | %15.2f\\n',M(:,1:3)');\n", + " plot(t,v_analytical,'-',t,v_numerical,'o-')\n", + "end\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "time (s)|vel analytical (m/s)|vel numerical (m/s)\n", + "-----------------------------------------------\n", + " 0.0 | 0.00 | 0.00\n", + " 2.2 | 20.12 | 20.88\n", + " 4.4 | 34.33 | 36.32\n", + " 6.5 | 42.10 | 44.08\n", + " 7.6 | 44.29 | 45.95\n", + " 9.8 | 46.72 | 47.69\n", + " 12.0 | 47.77 | 48.26\n" + ] + }, + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\t\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\t\n", + "\t\t0\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t10\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t20\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t30\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t40\n", + "\t\n", 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"Slideshow", + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "0.19.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/02_Roundoff-Truncation errors/README.md b/02_Roundoff-Truncation errors/README.md new file mode 100644 index 0000000..12365ce --- /dev/null +++ b/02_Roundoff-Truncation errors/README.md @@ -0,0 +1,174 @@ + +# Solution to Form #1 + + +```octave +[1,2,3]*[1;2;3] +``` + + ans = + + 14 + + + + +```octave +[1,2,3]*[1;2;3]=? +``` + + +```octave + +``` + +# The first source of error is roundoff error +## Just storing a number in a computer requires rounding + + +```octave +fprintf('realmax = %1.20e\n',realmax) +fprintf('realmin = %1.20e\n',realmin) +fprintf('maximum relative error = %1.20e\n',eps) + +``` + + realmax = 1.79769313486231570815e+308 + realmin = 2.22507385850720138309e-308 + maximum relative error = 2.22044604925031308085e-16 + + + +```octave +s=1; +for i=1:1000 + s=s+eps/10; +end +s==1 +``` + + ans = 1 + + +# Freefall Model (revisited) +## Octave solution (will run same on Matlab) + +Set default values in Octave for linewidth and text size + + +```octave +%plot --format svg +``` + + +```octave +set (0, "defaultaxesfontname", "Helvetica") +set (0, "defaultaxesfontsize", 18) +set (0, "defaulttextfontname", "Helvetica") +set (0, "defaulttextfontsize", 18) +set (0, "defaultlinelinewidth", 4) +``` + +Define time from 0 to 12 seconds with `N` timesteps +function defined as `freefall` + + +```octave +function [v_analytical,v_terminal,t]=freefall(N) + t=linspace(0,12,N)'; + c=0.25; m=60; g=9.81; v_terminal=sqrt(m*g/c); + + v_analytical = v_terminal*tanh(g*t/v_terminal); + v_numerical=zeros(length(t),1); + delta_time =diff(t); + for i=1:length(t)-1 + v_numerical(i+1)=v_numerical(i)+(g-c/m*v_numerical(i)^2)*delta_time(i); + end + % Print values near 0,2,4,6,8,10,12 seconds + indices = round(linspace(1,length(t),7)); + fprintf('time (s)|vel analytical (m/s)|vel numerical (m/s)\n') + fprintf('-----------------------------------------------\n') + M=[t(indices),v_analytical(indices),v_numerical(indices)]; + fprintf('%7.1f | %18.2f | %15.2f\n',M(:,1:3)'); + plot(t,v_analytical,'-',t,v_numerical,'o-') +end + +``` + + +```octave +[v_analytical,v_terminal,t]=freefall(120); +``` + + time (s)|vel analytical (m/s)|vel numerical (m/s) + ----------------------------------------------- + 0.0 | 0.00 | 0.00 + 2.0 | 18.76 | 18.82 + 4.0 | 32.64 | 32.80 + 6.1 | 40.79 | 40.97 + 8.0 | 44.80 | 44.94 + 10.0 | 46.84 | 46.93 + 12.0 | 47.77 | 47.82 + + + +![svg](output_13_1.svg) + + +# Types of error +## Freefall is example of "truncation error" +### Truncation error results from approximating exact mathematical procedure + +We approximated the derivative as $\delta v/\delta t\approx\Delta v/\Delta t$ + +Can reduce error by decreasing step size -> $\Delta t$=`delta_time` + +## Another example of truncation error is a Taylor series (or Maclaurin if centered at a=0) + +Taylor series: +$f(x)=f(a)+f'(a)(x-a)+\frac{f''(a)}{2!}(x-a)^{2}+\frac{f'''(a)}{3!}(x-a)^{3}+...$ + +We can approximate the next value in a function by adding Taylor series terms: + +|Approximation | formula | +|---|-------------------------| +|$0^{th}$-order | $f(x_{i+1})=f(x_{i})+R_{1}$ | +|$1^{st}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+R_{2}$ | +|$2^{nd}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+\frac{f''(x_{i})}{2!}h^{2}+R_{3}$| +|$n^{th}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+\frac{f''(x_{i})}{2!}h^{2}+...\frac{f^{(n)}}{n!}h^{n}+R_{n}$| + +Where $R_{n}=\frac{f^{(n+1)}(\xi)}{(n+1)!}h^{n+1}$ is the error associated with truncating the approximation at order $n$. + +The $n^{th}$-order approximation estimates that the unknown function, $f(x)$, is equal to an $n^{th}$-order polynomial. + +In the Freefall example, we estimated the function with a $1^{st}$-order approximation, so + +$v(t_{i+1})=v(t_{i})+v'(t_{i})(t_{i+1}-t_{i})+R_{1}$ + +$v'(t_{i})=\frac{v(t_{i+1})-v(t_{i})}{t_{i+1}-t_{i}}-\frac{R_{1}}{t_{i+1}-t_{i}}$ + +$\frac{R_{1}}{t_{i+1}-t_{i}}=\frac{v''(\xi)}{2!}(t_{i+1}-t_{i})$ + +or the truncation error for a first-order Taylor series approximation is + +$\frac{R_{1}}{t_{i+1}-t_{i}}=O(\Delta t)$ + + +1. digital representation of a number is rarely exact + +2. arithmetic (+,-,/,\*) causes roundoff error + + +```octave +fprintf('%1.20f\n',double(pi)) +fprintf('%1.20f\n',single(pi)) +``` + + 3.14159265358979311600 + 3.14159274101257324219 + + + +```octave + +``` diff --git a/02_Roundoff-Truncation errors/lecture_02.ipynb b/02_Roundoff-Truncation errors/lecture_02.ipynb new file mode 100644 index 0000000..e9d80ec --- /dev/null +++ b/02_Roundoff-Truncation errors/lecture_02.ipynb @@ -0,0 +1,533 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%plot --format svg" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Errors in Numerical Modeling\n", + "\n", + "## 1 - Roundoff \n", + "## 2 - Truncation" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# 1- Roundoff" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Just storing a number in a computer requires rounding\n", + "\n", + "1. digital representation of a number is rarely exact\n", + "\n", + "2. arithmetic (+,-,/,\\*) causes roundoff error" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "3.14159265358979311600\n", + "3.14159274101257324219\n" + ] + } + ], + "source": [ + "fprintf('%1.20f\\n',double(pi)) % 64-bit\n", + "fprintf('%1.20f\\n',single(pi)) % 32-bit" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "realmax = 1.79769313486231570815e+308\n", + "realmin = 2.22507385850720138309e-308\n", + "maximum relative error = 2.22044604925031308085e-16\n" + ] + } + ], + "source": [ + "fprintf('realmax = %1.20e\\n',realmax)\n", + "fprintf('realmin = %1.20e\\n',realmin)\n", + "fprintf('maximum relative error = %1.20e\\n',eps)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Machine epsilon\n", + "\n", + "Smallest number that can be added to 1 and change the value in a computer" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans = 0\n", + "ans = 1.1102e-12\n" + ] + } + ], + "source": [ + "s=1;\n", + "for i=1:10000\n", + " s=s+eps/2;\n", + "end\n", + "s-1\n", + "10000*eps/2" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# 2- Truncation error\n", + "## Freefall is example of \"truncation error\"\n", + "### Truncation error results from approximating exact mathematical procedure\n", + "\n", + "We approximated the derivative as $\\delta v/\\delta t\\approx\\Delta v/\\Delta t$\n", + "\n", + "Can reduce error by decreasing step size -> $\\Delta t$=`delta_time`" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Truncation error as a Taylor series " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Taylor series:\n", + "$f(x)=f(a)+f'(a)(x-a)+\\frac{f''(a)}{2!}(x-a)^{2}+\\frac{f'''(a)}{3!}(x-a)^{3}+...$\n", + "\n", + "We can approximate the next value in a function by adding Taylor series terms:\n", + "\n", + "|Approximation | formula |\n", + "|---|-------------------------|\n", + "|$0^{th}$-order | $f(x_{i+1})=f(x_{i})+R_{1}$ |\n", + "|$1^{st}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+R_{2}$ |\n", + "|$2^{nd}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+\\frac{f''(x_{i})}{2!}h^{2}+R_{3}$|\n", + "|$n^{th}$-order | $f(x_{i+1})=f(x_{i})+f'(x_{i})h+\\frac{f''(x_{i})}{2!}h^{2}+...\\frac{f^{(n)}}{n!}h^{n}+R_{n}$|\n", + "\n", + "Where $R_{n}=O(h^{n+1})$ is the error associated with truncating the approximation at order $n$." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "![3](https://media.giphy.com/media/xA7G2n20MzTOw/giphy.gif)\n", + "\n", + "$n^{th}$-order approximation equivalent to \n", + "an $n^{th}$-order polynomial. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Thanks" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Freefall Model (revisited)\n", + "## Octave solution (will run same on Matlab)\n", + "\n", + "## Create function called `freefall.m`\n", + "\n", + "Define time from 0 to 12 seconds with `N` timesteps \n", + "function defined as `freefall`\n", + "\n", + "m=60 kg, c=0.25 kg/m" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### Set default values in Octave for linewidth and text size" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "set (0, \"defaultaxesfontsize\", 18)\n", + "set (0, \"defaulttextfontsize\", 18) \n", + "set (0, \"defaultlinelinewidth\", 4)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Freefall example\n", + "\n", + "Estimated the function with a $1^{st}$-order approximation, so \n", + "\n", + "$v(t_{i+1})=v(t_{i})+v'(t_{i})(t_{i+1}-t_{i})+R_{1}$\n", + "\n", + "$v'(t_{i})=\\frac{v(t_{i+1})-v(t_{i})}{t_{i+1}-t_{i}}-\\frac{R_{1}}{t_{i+1}-t_{i}}$\n", + "\n", + "$\\frac{R_{1}}{t_{i+1}-t_{i}}=\\frac{v''(\\xi)}{2!}(t_{i+1}-t_{i})$\n", + "\n", + "or the truncation error for a first-order Taylor series approximation is\n", + "\n", + "$\\frac{R_{1}}{t_{i+1}-t_{i}}=O(\\Delta t)$\n" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "function [v_analytical,v_terminal,t]=freefall(N)\n", + " t=linspace(0,12,N)';\n", + " c=0.25; m=60; g=9.81; v_terminal=sqrt(m*g/c);\n", + "\n", + " v_analytical = v_terminal*tanh(g*t/v_terminal);\n", + " v_numerical=zeros(length(t),1);\n", + " delta_time =diff(t);\n", + " for i=1:length(t)-1\n", + " v_numerical(i+1)=v_numerical(i)+(g-c/m*v_numerical(i)^2)*delta_time(i);\n", + " end\n", + " % Print values near 0,2,4,6,8,10,12 seconds\n", + " indices = round(linspace(1,length(t),7));\n", + " fprintf('time (s)|vel analytical (m/s)|vel numerical (m/s)\\n')\n", + " fprintf('-----------------------------------------------\\n')\n", + " M=[t(indices),v_analytical(indices),v_numerical(indices)];\n", + " fprintf('%7.1f | %18.2f | %15.2f\\n',M(:,1:3)');\n", + " plot(t,v_analytical,'-',t,v_numerical,'o-')\n", + "end\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "time (s)|vel analytical (m/s)|vel numerical (m/s)\n", + "-----------------------------------------------\n", + " 0.0 | 0.00 | 0.00\n", + " 2.2 | 20.12 | 20.88\n", + " 4.4 | 34.33 | 36.32\n", + " 6.5 | 42.10 | 44.08\n", + " 7.6 | 44.29 | 45.95\n", + " 9.8 | 46.72 | 47.69\n", + " 12.0 | 47.77 | 48.26\n" + ] + }, + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\t\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\t\n", + "\t\t0\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t10\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t20\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t30\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t40\n", + "\t\n", 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errors/octave-workspace new file mode 100644 index 0000000000000000000000000000000000000000..8c437bb6e55a5d1b6115661b3a20e86870909d32 GIT binary patch literal 153 zcmeZIE=ep))iu=hVPIxpU`Wg>29gX6|5<=Ua%xV_zyJULGXmL6K+FfkHXuRW)ST4Z s)VvZqpa4)UCy*#Ej4v)J%FIiLX#g3JmQ#{Vk|uVbru4khf}H#k0D5999{>OV literal 0 HcmV?d00001 diff --git a/03_Intro to matlab-octave/.ipynb_checkpoints/lecture_03-checkpoint.ipynb b/03_Intro to matlab-octave/.ipynb_checkpoints/lecture_03-checkpoint.ipynb new file mode 100644 index 0000000..1b7c1ae --- /dev/null +++ b/03_Intro to matlab-octave/.ipynb_checkpoints/lecture_03-checkpoint.ipynb @@ -0,0 +1,5449 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true, + "scrolled": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%plot --format svg" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Matlab/Octave basic use" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Matlab environment can be called by:\n", + "\n", + "1. Starting the matlab executable (the gui)\n", + "2. Starting a jupyter notebook with Matlab kernel\n", + "3. Starting matlab with command-line interface (no gui)\n", + "\n", + "Main requirement = matlab kernel (main matlab program) is running and accepting commands\n", + "\n", + "Once started call\n", + "\n", + "1. matlab built-in functions \n", + "2. anything you write in your `MATLABPATH` or \n", + "3. working directory (`pwd`)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Octave's search path contains the following directories:\n", + "\n", + ".\n", + "/usr/local/lib/python2.7/dist-packages/octave_kernel\n", + "/home/ryan/Documents/MATLAB\n", + "/usr/lib/x86_64-linux-gnu/octave/4.0.0/site/oct/x86_64-pc-linux-gnu\n", + "/usr/lib/x86_64-linux-gnu/octave/site/oct/api-v50+/x86_64-pc-linux-gnu\n", + "/usr/lib/x86_64-linux-gnu/octave/site/oct/x86_64-pc-linux-gnu\n", + "/usr/share/octave/4.0.0/site/m\n", + "/usr/share/octave/site/api-v50+/m\n", + "/usr/share/octave/site/m\n", + "/usr/share/octave/site/m/startup\n", + "/usr/lib/x86_64-linux-gnu/octave/4.0.0/oct/x86_64-pc-linux-gnu\n", + "/usr/share/octave/4.0.0/m\n", + "/usr/share/octave/4.0.0/m/audio\n", + "/usr/share/octave/4.0.0/m/debian\n", + "/usr/share/octave/4.0.0/m/deprecated\n", + "/usr/share/octave/4.0.0/m/elfun\n", + "/usr/share/octave/4.0.0/m/general\n", + "/usr/share/octave/4.0.0/m/geometry\n", + "/usr/share/octave/4.0.0/m/gui\n", + "/usr/share/octave/4.0.0/m/help\n", + "/usr/share/octave/4.0.0/m/image\n", + "/usr/share/octave/4.0.0/m/io\n", + "/usr/share/octave/4.0.0/m/java\n", + "/usr/share/octave/4.0.0/m/linear-algebra\n", + "/usr/share/octave/4.0.0/m/miscellaneous\n", + "/usr/share/octave/4.0.0/m/optimization\n", + "/usr/share/octave/4.0.0/m/path\n", + "/usr/share/octave/4.0.0/m/pkg\n", + "/usr/share/octave/4.0.0/m/plot\n", + "/usr/share/octave/4.0.0/m/plot/appearance\n", + "/usr/share/octave/4.0.0/m/plot/draw\n", + "/usr/share/octave/4.0.0/m/plot/util\n", + "/usr/share/octave/4.0.0/m/polynomial\n", + "/usr/share/octave/4.0.0/m/prefs\n", + "/usr/share/octave/4.0.0/m/set\n", + "/usr/share/octave/4.0.0/m/signal\n", + "/usr/share/octave/4.0.0/m/sparse\n", + "/usr/share/octave/4.0.0/m/specfun\n", + "/usr/share/octave/4.0.0/m/special-matrix\n", + "/usr/share/octave/4.0.0/m/startup\n", + "/usr/share/octave/4.0.0/m/statistics\n", + "/usr/share/octave/4.0.0/m/statistics/base\n", + "/usr/share/octave/4.0.0/m/statistics/distributions\n", + "/usr/share/octave/4.0.0/m/statistics/models\n", + "/usr/share/octave/4.0.0/m/statistics/tests\n", + "/usr/share/octave/4.0.0/m/strings\n", + "/usr/share/octave/4.0.0/m/testfun\n", + "/usr/share/octave/4.0.0/m/time\n", + "/usr/share/octave/4.0.0/data\n", + "\n" + ] + } + ], + "source": [ + "path" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans = /home/ryan/Documents/UConn/ME3255/course_git_S2017/03_Intro to matlab-octave\r\n" + ] + } + ], + "source": [ + "pwd" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Assignments (`=`-operator)\n", + "\n", + "Matlab is interpreted language \n", + "\n", + "each line of code (either saved text file or command-line) is executed as a standalone command\n", + "\n", + "These are reffered to \"scripts\"" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 40\n" + ] + } + ], + "source": [ + "a=10; % line one assigns a to 10\n", + "b=a*3; % line two assigns b to 10 times 3 by calling 'a' from line one\n", + "a+b % line three does not assign anything directly, but leaving off the \";\" prints the result\n", + " % ans" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Matlab has a number of \"objects\" that you can assign to variables\n", + "1. arrays (vectors and matrices `[`...`]`) \n", + "3. cells (combination of strings, text, even function calls `{`...`}`)\n", + "2. strings (text `\"`...`\"` )\n", + "3. functions (both built-in, defined or developed)\n", + "4. and more... (classes defined by `classdef` - you can create your own object to help organize data)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### 1- Arrays\n", + "\n", + "Default in matlab is that when you assign a value to a variable, it is stored as an array\n", + "\n", + "arrays are N x M x ... values of integers or floating point numbers or complex integers/floating point numbers\n", + "\n", + "Use the parantheses to access values in an array `...(n,m)`" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A =\n", + "\n", + " 1 2 3\n", + " 4 5 6\n", + " 7 8 9\n", + " 10 11 12\n", + "\n", + "size of A is 4 x 3\n", + "\n", + "ans =\n", + "\n", + " 7\n", + "\n", + "\n", + "ans =\n", + "\n", + " 5\n" + ] + } + ], + "source": [ + "A = [1 2 3;4,5,6;7,8,9;10,11,12]\n", + "fprintf('size of A is %i x %i\\n',size(A))\n", + "A(3,1)\n", + "A(6)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 1\n" + ] + } + ], + "source": [ + "a=10; % a is 1x1 array where a(1,1)==10\n", + "a(1,1)==10\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## 2. Cells \n", + "### combine different size arrays and text\n", + "\n", + "you cannot use math operators 'binary operators'" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "C={};\n", + "C{1}=linspace(0,1,10);\n", + "C{2}=linspace(0,1,3);\n", + "C{'z'}='holy cow';" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 3.5185\n" + ] + } + ], + "source": [ + "C{1}*C{1}'" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## 3. Strings \n", + "### can be combined and printed" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + "computational mechanics\n" + ] + } + ], + "source": [ + "string1 = 'computational'; string2 = 'mechanics';\n", + "[string1, ' ', string2]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "use `fprintf` to format strings and numbers for output and `sprintf` to save variables\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "computational mechanics\n", + "\n", + "\n", + "string =\n", + "\n", + "the dog had 4 legs and weighed 10.0 lbs\n" + ] + } + ], + "source": [ + "fprintf([string1,' ',string2,'\\n\\n'])\n", + "string = sprintf('the dog had %i legs and weighed %1.1f lbs',4,10.0)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## 4. Functions \n", + "### Some built in Matlab functions \n", + "**(i.e. the reasons to run Matlab)** " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Math operators (=, +, -, /, *, ^)\n", + "\n", + "Matlab assumes all variables are matrices\n", + "\n", + "all operators are matrix operations functions" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 3 3\n", + "\n", + "error: operator /: nonconformant arguments (op1 is 1x1, op2 is 1x2)\n" + ] + } + ], + "source": [ + "1+[2,2]\n", + "1/[2,2]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Thanks" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Further Examples of Arrays and Functions" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "vectors are either 1xN or Nx1 arrays for row and column" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "v_row =\n", + "\n", + " 1 2 3\n", + "\n", + "\n", + "v_column =\n", + "\n", + " 1\n", + " 2\n", + " 3\n" + ] + } + ], + "source": [ + "v_row = [1,2,3] %row vector\n", + "v_column = [1;2;3] %column vector\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Matrices are MxN arrays\n", + "the `:`-symbol can substitute for a counting" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A =\n", + "\n", + " 1 2 3\n", + " 4 5 6\n", + " 7 8 9\n", + " 10 11 12\n", + "\n", + "ans =\n", + "\n", + " 1\n", + " 4\n", + " 7\n", + " 10\n", + "\n" + ] + } + ], + "source": [ + "A = [1 2 3;4,5,6;7,8,9;10,11,12]\n", + "A(:,1) % the colon assumes you want the first value, 1, counting up by 1 to the last value, 4" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "You can also use every 2nd value or any other integer up to `end` which is the largest value of that row or column of the array" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 1\n", + " 7\n" + ] + } + ], + "source": [ + "A(1:2:end,1) % you can also use `end` " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 1\n", + " 4\n", + " 7\n", + " 10\n", + " 2\n", + " 5\n", + " 8\n", + " 11\n", + " 3\n", + " 6\n", + " 9\n", + " 12\n" + ] + } + ], + "source": [ + "A(:)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "In general, arrays can be any size \n", + "\n", + "take rolling 4 die and determining the sum of the components" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "A_6666 = zeros(6,6,6,6); %make a 6 x 6 x 6 x 6 array (1296 different values)\n", + "for i=1:6\n", + " for j=1:6\n", + " for k=1:6\n", + " for l=1:6\n", + " A_6666(i,j,k,l)=i+j+k+l; % each value is the sum of the indices\n", + " end\n", + " end\n", + " end\n", + "end\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 14\n", + "\n", + "\n", + "ans =\n", + "\n", + " 3.4170\n" + ] + } + ], + "source": [ + "mean(A_6666(:))\n", + "std(A_6666(:))" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 12\n" + ] + } + ], + "source": [ + "A_6666(1,4,2,5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## This is helpful to create reports of computed data\n", + "\n", + "the `\\` signifies a special character e.g. `\\n` = newline, `\\t` = tab\n", + "\n", + "to actually print the \"\\\", use `\\\\`" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\\\n" + ] + } + ], + "source": [ + "fprintf('\\\\')" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false, + "scrolled": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\u001b[0;31mUndefined function or variable 'fid'.\n", + "\u001b[0m" + ] + } + ], + "source": [ + "%fid = fopen('file.txt','w');\n", + "fprintf(fid,[string1, ' ', string2])\n", + "fprintf(fid,'\\n')\n", + "fprintf(fid,string)\n", + "fprintf(fid,'\\n')\n", + "fprintf(fid,'are you awake?')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 20\n" + ] + } + ], + "source": [ + "a=10;\n", + "a+a % add two 1x1 arrays" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 2 4 6\n", + " 8 10 12\n", + " 14 16 18\n", + " 20 22 24\n" + ] + } + ], + "source": [ + "A = [1 2 3;4,5,6;7,8,9;10,11,12];\n", + "A+A % add two 4 x 3 arrays" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 14 32 50 68\n", + " 32 77 122 167\n", + " 50 122 194 266\n", + " 68 167 266 365\n" + ] + } + ], + "source": [ + "A*A'" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 1 4 9\n", + " 16 25 36\n", + " 49 64 81\n", + " 100 121 144\n" + ] + } + ], + "source": [ + "A.^2" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 1 4 9\n", + " 16 25 36\n", + " 49 64 81\n", + " 100 121 144\n" + ] + } + ], + "source": [ + "A.*A" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[\b> In pymat_eval (line 31)\n", + " In matlabserver (line 24)]\b \n", + "[\bWarning: Rank deficient, rank = 2, tol = 1.696862e-14.]\b \n", + "\n", + "ans =\n", + "\n", + " 1.0000 0 0 -0.0000\n", + " 0.6667 0 0 0.3333\n", + " 0.3333 0 0 0.6667\n", + " 0.0000 0 0 1.0000\n" + ] + } + ], + "source": [ + "A/A" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "/ Slash or right matrix divide.\n", + " A/B is the matrix division of B into A, which is roughly the\n", + " same as A*INV(B) , except it is computed in a different way.\n", + " More precisely, A/B = (B'\\A')'. See MLDIVIDE for details.\n", + " \n", + " C = MRDIVIDE(A,B) is called for the syntax 'A / B' when A or B is an\n", + " object.\n", + " \n", + " See also MLDIVIDE, RDIVIDE, LDIVIDE.\n", + "\n", + " Reference page in Doc Center\n", + " doc mrdivide\n", + "\n", + " Other functions named mrdivide\n", + "\n", + " codistributed/mrdivide gf/mrdivide laurpoly/mrdivide\n", + " duration/mrdivide gpuArray/mrdivide StaticModel/mrdivide\n", + " DynamicSystem/mrdivide LagOp/mrdivide timeseries/mrdivide\n", + " fints/mrdivide\n" + ] + } + ], + "source": [ + "help /" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 1 1 1\n", + " 1 1 1\n", + " 1 1 1\n", + " 1 1 1\n" + ] + } + ], + "source": [ + "% element-by-element operation with '.'\n", + "A./A" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "But, for 1x1 arrays, these are considered scalars and you get a free-pass" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 10 20 30\n", + " 40 50 60\n", + " 70 80 90\n", + " 100 110 120\n" + ] + } + ], + "source": [ + "a*A % where a=10 and A is 1:12 in a 3 x 4 matrix" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## 4.con'd Other built-in functions" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "t_linear =\n", + "\n", + " Columns 1 through 7\n", + "\n", + " 0 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000\n", + "\n", + " Columns 8 through 11\n", + "\n", + " 0.7000 0.8000 0.9000 1.0000\n" + ] + } + ], + "source": [ + "t_linear=linspace(0,1,11)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "t_log =\n", + "\n", + " 1 10 100\n" + ] + } + ], + "source": [ + "t_log = logspace(0,2,3) % log interval from 10^0 to 10^2 split into 3 values" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LOGSPACE Logarithmically spaced vector.\n", + " LOGSPACE(X1, X2) generates a row vector of 50 logarithmically\n", + " equally spaced points between decades 10^X1 and 10^X2. If X2\n", + " is pi, then the points are between 10^X1 and pi.\n", + " \n", + " LOGSPACE(X1, X2, N) generates N points.\n", + " For N = 1, LOGSPACE returns 10^X2.\n", + " \n", + " Class support for inputs X1,X2:\n", + " float: double, single\n", + " \n", + " See also LINSPACE, COLON.\n", + "\n", + " Reference page in Doc Center\n", + " doc logspace\n", + "\n", + " Other functions named logspace\n", + "\n", + " codistributed.logspace distributed.logspace\n", + " codistributor1d/logspace gpuArray/logspace\n", + " codistributor2dbc/logspace\n" + ] + } + ], + "source": [ + "help logspace" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## 4.con'd scripts, functions or classes (to define objects)\n", + "\n", + "When using the GUI, your command history is saved, \n", + "\n", + "Best practice: save your work either as a script or a function or combination of both\n", + "\n", + "Creating a default graph script:" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": true, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "set(0, 'defaultAxesFontSize', 16)\n", + "set(0,'defaultTextFontSize',14)\n", + "set(0,'defaultLineLineWidth',3)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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l5UUIkclkCxcu1Hl+YWHhypUraXn+/PmG1Q8AeAhpBObAbVBDWloaLeTm5j79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\nnrtz5w4h5PLly5MmTWKOHz5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"help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "0.19.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/03_Intro to matlab-octave/file.txt b/03_Intro to matlab-octave/file.txt new file mode 100644 index 0000000..0fb2c92 --- /dev/null +++ b/03_Intro to matlab-octave/file.txt @@ -0,0 +1,5 @@ +computational mechanics +the dog had 4 legs and weighed 10.0 lbs +are you awake?computational mechanics +the dog had 4 legs and weighed 10.0 lbs +are you awake? \ No newline at end of file diff --git a/03_Intro to matlab-octave/lecture_03.ipynb b/03_Intro to matlab-octave/lecture_03.ipynb new file mode 100644 index 0000000..f24b27f --- /dev/null +++ b/03_Intro to matlab-octave/lecture_03.ipynb @@ -0,0 +1,5491 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 45, + "metadata": { + "collapsed": true, + "scrolled": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%plot --format svg" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Matlab/Octave basic use" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Matlab environment can be called by:\n", + "\n", + "1. Starting the matlab executable (the gui)\n", + "2. Starting a jupyter notebook with Matlab kernel\n", + "3. Starting matlab with command-line interface (no gui)\n", + "\n", + "Main requirement = matlab kernel (main matlab program) is running and accepting commands\n", + "\n", + "Once started call\n", + "\n", + "1. matlab built-in functions \n", + "2. anything you write in your `MATLABPATH` or \n", + "3. working directory (`pwd`)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Octave's search path contains the following directories:\n", + "\n", + ".\n", + "/usr/local/lib/python2.7/dist-packages/octave_kernel\n", + "/home/ryan/Documents/MATLAB\n", + "/usr/lib/x86_64-linux-gnu/octave/4.0.0/site/oct/x86_64-pc-linux-gnu\n", + "/usr/lib/x86_64-linux-gnu/octave/site/oct/api-v50+/x86_64-pc-linux-gnu\n", + "/usr/lib/x86_64-linux-gnu/octave/site/oct/x86_64-pc-linux-gnu\n", + "/usr/share/octave/4.0.0/site/m\n", + "/usr/share/octave/site/api-v50+/m\n", + "/usr/share/octave/site/m\n", + "/usr/share/octave/site/m/startup\n", + "/usr/lib/x86_64-linux-gnu/octave/4.0.0/oct/x86_64-pc-linux-gnu\n", + "/usr/share/octave/4.0.0/m\n", + "/usr/share/octave/4.0.0/m/audio\n", + "/usr/share/octave/4.0.0/m/debian\n", + "/usr/share/octave/4.0.0/m/deprecated\n", + "/usr/share/octave/4.0.0/m/elfun\n", + "/usr/share/octave/4.0.0/m/general\n", + "/usr/share/octave/4.0.0/m/geometry\n", + "/usr/share/octave/4.0.0/m/gui\n", + "/usr/share/octave/4.0.0/m/help\n", + "/usr/share/octave/4.0.0/m/image\n", + "/usr/share/octave/4.0.0/m/io\n", + "/usr/share/octave/4.0.0/m/java\n", + "/usr/share/octave/4.0.0/m/linear-algebra\n", + "/usr/share/octave/4.0.0/m/miscellaneous\n", + "/usr/share/octave/4.0.0/m/optimization\n", + "/usr/share/octave/4.0.0/m/path\n", + "/usr/share/octave/4.0.0/m/pkg\n", + "/usr/share/octave/4.0.0/m/plot\n", + "/usr/share/octave/4.0.0/m/plot/appearance\n", + "/usr/share/octave/4.0.0/m/plot/draw\n", + "/usr/share/octave/4.0.0/m/plot/util\n", + "/usr/share/octave/4.0.0/m/polynomial\n", + "/usr/share/octave/4.0.0/m/prefs\n", + "/usr/share/octave/4.0.0/m/set\n", + "/usr/share/octave/4.0.0/m/signal\n", + "/usr/share/octave/4.0.0/m/sparse\n", + "/usr/share/octave/4.0.0/m/specfun\n", + "/usr/share/octave/4.0.0/m/special-matrix\n", + "/usr/share/octave/4.0.0/m/startup\n", + "/usr/share/octave/4.0.0/m/statistics\n", + "/usr/share/octave/4.0.0/m/statistics/base\n", + "/usr/share/octave/4.0.0/m/statistics/distributions\n", + "/usr/share/octave/4.0.0/m/statistics/models\n", + "/usr/share/octave/4.0.0/m/statistics/tests\n", + "/usr/share/octave/4.0.0/m/strings\n", + "/usr/share/octave/4.0.0/m/testfun\n", + "/usr/share/octave/4.0.0/m/time\n", + "/usr/share/octave/4.0.0/data\n", + "\n" + ] + } + ], + "source": [ + "path" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "slide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans = /home/ryan/Documents/UConn/ME3255/course_git_S2017/03_Intro to matlab-octave\r\n" + ] + } + ], + "source": [ + "pwd" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Assignments (`=`-operator)\n", + "\n", + "Matlab is interpreted language \n", + "\n", + "each line of code (either saved text file or command-line) is executed as a standalone command\n", + "\n", + "These are reffered to \"scripts\"" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "a = 10\n", + "b = 30\n", + "c = 40\n" + ] + } + ], + "source": [ + "a=10 % line one assigns a to 10\n", + "b=a*3 % line two assigns b to 10 times 3 by calling 'a' from line one\n", + "c=a+b % line three does not assign anything directly, but leaving off the \";\" prints the result\n", + " % ans" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Matlab has a number of \"objects\" that you can assign to variables\n", + "1. arrays (vectors and matrices `[`...`]`) \n", + "3. cells (combination of strings, text, even function calls `{`...`}`)\n", + "2. strings (text `\"`...`\"` )\n", + "3. functions (both built-in, defined or developed)\n", + "4. and more... (classes defined by `classdef` - you can create your own object to help organize data)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "### 1- Arrays\n", + "\n", + "Default in matlab is that when you assign a value to a variable, it is stored as an array\n", + "\n", + "arrays are N x M x ... values of integers or floating point numbers or complex integers/floating point numbers\n", + "\n", + "Use the parantheses to access values in an array `...(n,m)`" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A =\n", + "\n", + " 1 2 3\n", + " 4 5 6\n", + " 7 8 9\n", + " 10 11 12\n", + "\n", + "size of A is 4 x 3\n" + ] + } + ], + "source": [ + "A = [1 2 3;4,5,6;7,8,9;10,11,12]\n", + "fprintf('size of A is %i x %i\\n',size(A))" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A =\n", + "\n", + " 1 2 3\n", + " 4 5 6\n", + " 7 8 9\n", + " 10 11 12\n", + "\n", + "ans = 7\n", + "ans = 11\n" + ] + } + ], + "source": [ + "A = [1 2 3;4,5,6;7,8,9;10,11,12]\n", + "A(3,1)\n", + "A(8)" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans = 0\r\n" + ] + } + ], + "source": [ + "a=10; % a is 1x1 array where a(1,1)==10\n", + "a(1,1)==1\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## 2. Cells \n", + "### combine different size arrays and text\n", + "\n", + "you cannot use math operators 'binary operators'" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " Columns 1 through 8:\n", + "\n", + " 0.00000 0.11111 0.22222 0.33333 0.44444 0.55556 0.66667 0.77778\n", + "\n", + " Columns 9 and 10:\n", + "\n", + " 0.88889 1.00000\n", + "\n" + ] + } + ], + "source": [ + "C={};\n", + "C{1}=linspace(0,1,10);\n", + "C{2}=linspace(0,1,3);\n", + "C{'z'}='holy cow';\n", + "C{1}" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " Columns 1 through 8:\n", + "\n", + " 0.00000 0.22222 0.44444 0.66667 0.88889 1.11111 1.33333 1.55556\n", + "\n", + " Columns 9 and 10:\n", + "\n", + " 1.77778 2.00000\n", + "\n" + ] + } + ], + "source": [ + "C{1}+C{1}" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## 3. Strings \n", + "### can be combined and printed" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans = computational mechanics rocks!\r\n" + ] + } + ], + "source": [ + "string1 = 'computational'; string2 = 'mechanics';\n", + "[string1, ' ', string2, ' rocks!']" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "use `fprintf` to format strings and numbers for output and `sprintf` to save variables\n" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "computational mechanics\n", + "\n", + "string = the dog had 4 legs and weighed 30.9 lbs\n" + ] + } + ], + "source": [ + "fprintf([string1,' ',string2,'\\n\\n'])\n", + "string = sprintf('the dog had %i legs and weighed %1.1f lbs',4,30.93)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## 4. Functions \n", + "### Some built in Matlab functions \n", + "**(i.e. the reasons to run Matlab)** " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Math operators (=, +, -, /, *, ^)\n", + "\n", + "Matlab assumes all variables are matrices\n", + "\n", + "all operators are matrix operations functions" + ] + }, + { + "cell_type": "code", + "execution_count": 67, + "metadata": { + "collapsed": false + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 3 3\n", + "\n", + "ans =\n", + "\n", + " 0.50000 0.50000\n", + "\n" + ] + } + ], + "source": [ + "1+[2,2]\n", + "1./[2,2]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Thanks" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Further Examples of Arrays and Functions" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "vectors are either 1xN or Nx1 arrays for row and column" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "v_row =\n", + "\n", + " 1 2 3\n", + "\n", + "\n", + "v_column =\n", + "\n", + " 1\n", + " 2\n", + " 3\n" + ] + } + ], + "source": [ + "v_row = [1,2,3] %row vector\n", + "v_column = [1;2;3] %column vector\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Matrices are MxN arrays\n", + "the `:`-symbol can substitute for a counting" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A =\n", + "\n", + " 1 2 3\n", + " 4 5 6\n", + " 7 8 9\n", + " 10 11 12\n", + "\n", + "ans =\n", + "\n", + " 1\n", + " 4\n", + " 7\n", + " 10\n", + "\n" + ] + } + ], + "source": [ + "A = [1 2 3;4,5,6;7,8,9;10,11,12]\n", + "A(:,1) % the colon assumes you want the first value, 1, counting up by 1 to the last value, 4" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "You can also use every 2nd value or any other integer up to `end` which is the largest value of that row or column of the array" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 1\n", + " 7\n" + ] + } + ], + "source": [ + "A(1:2:end,1) % you can also use `end` " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 1\n", + " 4\n", + " 7\n", + " 10\n", + " 2\n", + " 5\n", + " 8\n", + " 11\n", + " 3\n", + " 6\n", + " 9\n", + " 12\n" + ] + } + ], + "source": [ + "A(:)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "In general, arrays can be any size \n", + "\n", + "take rolling 4 die and determining the sum of the components" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "A_6666 = zeros(6,6,6,6); %make a 6 x 6 x 6 x 6 array (1296 different values)\n", + "for i=1:6\n", + " for j=1:6\n", + " for k=1:6\n", + " for l=1:6\n", + " A_6666(i,j,k,l)=i+j+k+l; % each value is the sum of the indices\n", + " end\n", + " end\n", + " end\n", + "end\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 14\n", + "\n", + "\n", + "ans =\n", + "\n", + " 3.4170\n" + ] + } + ], + "source": [ + "mean(A_6666(:))\n", + "std(A_6666(:))" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 12\n" + ] + } + ], + "source": [ + "A_6666(1,4,2,5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## This is helpful to create reports of computed data\n", + "\n", + "the `\\` signifies a special character e.g. `\\n` = newline, `\\t` = tab\n", + "\n", + "to actually print the \"\\\", use `\\\\`" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\\\n" + ] + } + ], + "source": [ + "fprintf('\\\\')" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "collapsed": false, + "scrolled": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "\u001b[0;31mUndefined function or variable 'fid'.\n", + "\u001b[0m" + ] + } + ], + "source": [ + "%fid = fopen('file.txt','w');\n", + "fprintf(fid,[string1, ' ', string2])\n", + "fprintf(fid,'\\n')\n", + "fprintf(fid,string)\n", + "fprintf(fid,'\\n')\n", + "fprintf(fid,'are you awake?')" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 20\n" + ] + } + ], + "source": [ + "a=10;\n", + "a+a % add two 1x1 arrays" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 2 4 6\n", + " 8 10 12\n", + " 14 16 18\n", + " 20 22 24\n" + ] + } + ], + "source": [ + "A = [1 2 3;4,5,6;7,8,9;10,11,12];\n", + "A+A % add two 4 x 3 arrays" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 14 32 50 68\n", + " 32 77 122 167\n", + " 50 122 194 266\n", + " 68 167 266 365\n" + ] + } + ], + "source": [ + "A*A'" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 1 4 9\n", + " 16 25 36\n", + " 49 64 81\n", + " 100 121 144\n" + ] + } + ], + "source": [ + "A.^2" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 1 4 9\n", + " 16 25 36\n", + " 49 64 81\n", + " 100 121 144\n" + ] + } + ], + "source": [ + "A.*A" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[\b> In pymat_eval (line 31)\n", + " In matlabserver (line 24)]\b \n", + "[\bWarning: Rank deficient, rank = 2, tol = 1.696862e-14.]\b \n", + "\n", + "ans =\n", + "\n", + " 1.0000 0 0 -0.0000\n", + " 0.6667 0 0 0.3333\n", + " 0.3333 0 0 0.6667\n", + " 0.0000 0 0 1.0000\n" + ] + } + ], + "source": [ + "A/A" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "/ Slash or right matrix divide.\n", + " A/B is the matrix division of B into A, which is roughly the\n", + " same as A*INV(B) , except it is computed in a different way.\n", + " More precisely, A/B = (B'\\A')'. See MLDIVIDE for details.\n", + " \n", + " C = MRDIVIDE(A,B) is called for the syntax 'A / B' when A or B is an\n", + " object.\n", + " \n", + " See also MLDIVIDE, RDIVIDE, LDIVIDE.\n", + "\n", + " Reference page in Doc Center\n", + " doc mrdivide\n", + "\n", + " Other functions named mrdivide\n", + "\n", + " codistributed/mrdivide gf/mrdivide laurpoly/mrdivide\n", + " duration/mrdivide gpuArray/mrdivide StaticModel/mrdivide\n", + " DynamicSystem/mrdivide LagOp/mrdivide timeseries/mrdivide\n", + " fints/mrdivide\n" + ] + } + ], + "source": [ + "help /" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 1 1 1\n", + " 1 1 1\n", + " 1 1 1\n", + " 1 1 1\n" + ] + } + ], + "source": [ + "% element-by-element operation with '.'\n", + "A./A" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "But, for 1x1 arrays, these are considered scalars and you get a free-pass" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans =\n", + "\n", + " 10 20 30\n", + " 40 50 60\n", + " 70 80 90\n", + " 100 110 120\n" + ] + } + ], + "source": [ + "a*A % where a=10 and A is 1:12 in a 3 x 4 matrix" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## 4.con'd Other built-in functions" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "t_linear =\n", + "\n", + " Columns 1 through 7\n", + "\n", + " 0 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000\n", + "\n", + " Columns 8 through 11\n", + "\n", + " 0.7000 0.8000 0.9000 1.0000\n" + ] + } + ], + "source": [ + "t_linear=linspace(0,1,11)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "t_log =\n", + "\n", + " 1 10 100\n" + ] + } + ], + "source": [ + "t_log = logspace(0,2,3) % log interval from 10^0 to 10^2 split into 3 values" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "LOGSPACE Logarithmically spaced vector.\n", + " LOGSPACE(X1, X2) generates a row vector of 50 logarithmically\n", + " equally spaced points between decades 10^X1 and 10^X2. If X2\n", + " is pi, then the points are between 10^X1 and pi.\n", + " \n", + " LOGSPACE(X1, X2, N) generates N points.\n", + " For N = 1, LOGSPACE returns 10^X2.\n", + " \n", + " Class support for inputs X1,X2:\n", + " float: double, single\n", + " \n", + " See also LINSPACE, COLON.\n", + "\n", + " Reference page in Doc Center\n", + " doc logspace\n", + "\n", + " Other functions named logspace\n", + "\n", + " codistributed.logspace distributed.logspace\n", + " codistributor1d/logspace gpuArray/logspace\n", + " codistributor2dbc/logspace\n" + ] + } + ], + "source": [ + "help logspace" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## 4.con'd scripts, functions or classes (to define objects)\n", + "\n", + "When using the GUI, your command history is saved, \n", + "\n", + "Best practice: save your work either as a script or a function or combination of both\n", + "\n", + "Creating a default graph script:" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "collapsed": true, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "set(0, 'defaultAxesFontSize', 16)\n", + "set(0,'defaultTextFontSize',14)\n", + "set(0,'defaultLineLineWidth',3)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "collapsed": false, + "scrolled": true, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/png": 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l5UUIkclkCxcu1Hl+YWHhypUraXn+/PmG1Q8AeAhpBObAbVBDWloaLeTm5j79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\nnrtz5w4h5PLly5MmTWKOHz5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"help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "0.19.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/03_Intro to matlab-octave/lecture_03.md b/03_Intro to matlab-octave/lecture_03.md new file mode 100644 index 0000000..ce76e7f --- /dev/null +++ b/03_Intro to matlab-octave/lecture_03.md @@ -0,0 +1,1447 @@ + +# Matlab basic use +## 1- the environment, path and working directory + +Matlab environment can be called by: +1. Starting the matlab executable (the gui) +2. Starting a jupyter notebook with Matlab kernel +3. Starting matlab with command-line interface (no gui) + +The main requirement is that matlab kernel (main matlab program) is running and accepting commands + +When you start, you can call matlab built-in functions or anything you write that is in your `MATLABPATH` or working directory (`pwd`) + + +```matlab +path +``` + + MATLABPATH + + /usr/local/lib/python2.7/dist-packages/matlab_kernel/toolbox + /usr/local/lib/python2.7/dist-packages/pymatbridge/matlab + /usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/usrprog + /usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util + /usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2 + /usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2/json + /usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2/json/java + /usr/local/lib/python2.7/dist-packages/pymatbridge/matlab/util/json_v0.2.2/test + /home/ryan/Documents/MATLAB + /usr/local/MATLAB/R2016a/toolbox/matlab/strfun + 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/usr/local/MATLAB/R2016a/toolbox/matlab/optimfun + /usr/local/MATLAB/R2016a/toolbox/matlab/testframework/ext + /usr/local/MATLAB/R2016a/toolbox/matlab/guide + /usr/local/MATLAB/R2016a/toolbox/matlab/testframework/measurement + /usr/local/MATLAB/R2016a/toolbox/matlab/icons + /usr/local/MATLAB/R2016a/toolbox/matlab/demos + /usr/local/MATLAB/R2016a/toolbox/matlab/helptools + /usr/local/MATLAB/R2016a/toolbox/matlab/winfun + /usr/local/MATLAB/R2016a/toolbox/matlab/winfun/NET + /usr/local/MATLAB/R2016a/toolbox/matlab/datamanager + /usr/local/MATLAB/R2016a/toolbox/matlab/verctrl + /usr/local/MATLAB/R2016a/toolbox/matlab/graph2d + /usr/local/MATLAB/R2016a/toolbox/matlab/graph3d + /usr/local/MATLAB/R2016a/toolbox/matlab/graphics + /usr/local/MATLAB/R2016a/toolbox/matlab/graphics/obsolete + /usr/local/MATLAB/R2016a/toolbox/matlab/plottools + /usr/local/MATLAB/R2016a/toolbox/matlab/scribe + /usr/local/MATLAB/R2016a/toolbox/matlab/scribe/obsolete + /usr/local/MATLAB/R2016a/toolbox/matlab/specgraph 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/usr/local/MATLAB/R2016a/toolbox/rtw/rtwdemos/rsimdemos + /usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/simfeatures + /usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/simfeatures/modelreference + /usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/simfeatures/datadictionary + /usr/local/MATLAB/R2016a/toolbox/simulink/sysarch/sysarch + /usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/simgeneral + /usr/local/MATLAB/R2016a/toolbox/slde/examples + /usr/local/MATLAB/R2016a/toolbox/coder/advisor + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink/modeladvisor + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink/modeladvisor/fixpt + /usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/automotive/fuelsys + /usr/local/MATLAB/R2016a/toolbox/simulink/components + /usr/local/MATLAB/R2016a/toolbox/simulink/dee + /usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/aerospace + /usr/local/MATLAB/R2016a/toolbox/simulinktest/core/simharness/simharness + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink/frameedit + /usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/industrial + /usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/automotive + /usr/local/MATLAB/R2016a/toolbox/simulink/blocks/library + /usr/local/MATLAB/R2016a/toolbox/simulink/blocks/library/simulinkcoder + /usr/local/MATLAB/R2016a/toolbox/simulink/blocks/obsolete + /usr/local/MATLAB/R2016a/toolbox/simulink/simdemos/dataclasses + /usr/local/MATLAB/R2016a/toolbox/simulink/simdemos + /usr/local/MATLAB/R2016a/toolbox/simulink/blocks + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink/dataclasses + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink/MPlayIO + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink/dataobjectwizard + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink/slresolve + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink/units + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink/resources + 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/usr/local/MATLAB/R2016a/toolbox/shared/measure + /usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/simple + /usr/local/MATLAB/R2016a/toolbox/coder/trace + /usr/local/MATLAB/R2016a/toolbox/compiler_sdk + /usr/local/MATLAB/R2016a/toolbox/shared/diagnostic + /usr/local/MATLAB/R2016a/toolbox/physmod/powersys/templates + /usr/local/MATLAB/R2016a/toolbox/sldv/sldvdemos + /usr/local/MATLAB/R2016a/toolbox/simulink/sta/repository + /usr/local/MATLAB/R2016a/toolbox/simulink/sta/repository/util + /usr/local/MATLAB/R2016a/toolbox/stats/stats + /usr/local/MATLAB/R2016a/toolbox/stats/classreg + /usr/local/MATLAB/R2016a/toolbox/stats/clustering + /usr/local/MATLAB/R2016a/toolbox/hdlcoder/hdllib/ml_lib + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink/iodata/ioformat + /usr/local/MATLAB/R2016a/toolbox/matlab/audiovideo + /usr/local/MATLAB/R2016a/toolbox/matlab/webcam + /usr/local/MATLAB/R2016a/toolbox/shared/mldatx + /usr/local/MATLAB/R2016a/toolbox/robust/robust + /usr/local/MATLAB/R2016a/toolbox/robust/rctlmi + /usr/local/MATLAB/R2016a/toolbox/robust/rctutil + /usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/robust + /usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/lmi + /usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/mutools/commands + /usr/local/MATLAB/R2016a/toolbox/robust/rctobsolete/mutools/subs + /usr/local/MATLAB/R2016a/toolbox/shared/codeinstrum/codeinstrum + /usr/local/MATLAB/R2016a/toolbox/control/control + /usr/local/MATLAB/R2016a/toolbox/control/ctrlmodels + /usr/local/MATLAB/R2016a/toolbox/control/ctrlanalysis + /usr/local/MATLAB/R2016a/toolbox/control/ctrldesign + /usr/local/MATLAB/R2016a/toolbox/control/ctrlplots + /usr/local/MATLAB/R2016a/toolbox/control/ctrlguis + /usr/local/MATLAB/R2016a/toolbox/control/ctrlobsolete + /usr/local/MATLAB/R2016a/toolbox/control/ctrlutil + /usr/local/MATLAB/R2016a/toolbox/physmod/simscape/compiler/sli/m + /usr/local/MATLAB/R2016a/toolbox/shared/dastudio + /usr/local/MATLAB/R2016a/toolbox/stats/statsdemos + /usr/local/MATLAB/R2016a/toolbox/shared/curvefitlib + /usr/local/MATLAB/R2016a/toolbox/shared/slpir + /usr/local/MATLAB/R2016a/toolbox/shared/eda/fpgabase + /usr/local/MATLAB/R2016a/toolbox/physmod/common/dataservices/mli/m + /usr/local/MATLAB/R2016a/toolbox/shared/hdlshared/hdlshared_gui + /usr/local/MATLAB/R2016a/toolbox/shared/eda/hdlparser + /usr/local/MATLAB/R2016a/toolbox/physmod/network_engine/network_engine + /usr/local/MATLAB/R2016a/toolbox/target/extensions/processor/intelhost/tfl + /usr/local/MATLAB/R2016a/toolbox/coder/coverage + /usr/local/MATLAB/R2016a/toolbox/shared/dsp/hdl + /usr/local/MATLAB/R2016a/toolbox/matlab/spf/matlabhost + /usr/local/MATLAB/R2016a/toolbox/mpc/mpc + /usr/local/MATLAB/R2016a/toolbox/mpc/mpcguis + /usr/local/MATLAB/R2016a/toolbox/mpc/mpcobsolete + /usr/local/MATLAB/R2016a/toolbox/mpc/mpcutils + /usr/local/MATLAB/R2016a/toolbox/simulink/slexportprevious + /usr/local/MATLAB/R2016a/toolbox/sl3d/sl3d + /usr/local/MATLAB/R2016a/toolbox/comm/comm + /usr/local/MATLAB/R2016a/toolbox/comm/commutilities/comminit + /usr/local/MATLAB/R2016a/toolbox/comm/commutilities/commmex + /usr/local/MATLAB/R2016a/toolbox/comm/commutilities + /usr/local/MATLAB/R2016a/toolbox/comm/commdeprecated + /usr/local/MATLAB/R2016a/toolbox/comm/comm/compiled + /usr/local/MATLAB/R2016a/toolbox/coder/connectivity + /usr/local/MATLAB/R2016a/toolbox/rtw/targets/connectivity + /usr/local/MATLAB/R2016a/toolbox/simulink/slhistory + /usr/local/MATLAB/R2016a/toolbox/physmod/simscape/templates + /usr/local/MATLAB/R2016a/toolbox/shared/spreadsheet + /usr/local/MATLAB/R2016a/toolbox/fixpoint + /usr/local/MATLAB/R2016a/toolbox/fixpoint/fpca + /usr/local/MATLAB/R2016a/toolbox/robotics/ros + /usr/local/MATLAB/R2016a/toolbox/physmod/ne_sli/ne_sli + /usr/local/MATLAB/R2016a/toolbox/shared/dsp/simulink/dsp + /usr/local/MATLAB/R2016a/toolbox/matlab/system + /usr/local/MATLAB/R2016a/toolbox/shared/eda/fil + /usr/local/MATLAB/R2016a/toolbox/shared/eda/fil/filmapi + /usr/local/MATLAB/R2016a/toolbox/coder/rtiostream + /usr/local/MATLAB/R2016a/toolbox/pde + /usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powersys + /usr/local/MATLAB/R2016a/toolbox/shared/hotpluglib + /usr/local/MATLAB/R2016a/toolbox/shared/multimedia + /usr/local/MATLAB/R2016a/toolbox/shared/testmeaslib/graphics + /usr/local/MATLAB/R2016a/toolbox/matlab/addons_toolbox + /usr/local/MATLAB/R2016a/toolbox/shared/imageslib + /usr/local/MATLAB/R2016a/toolbox/physmod/pm_sli/pm_sli + /usr/local/MATLAB/R2016a/toolbox/shared/dastudio/seqdiagram + /usr/local/MATLAB/R2016a/toolbox/physmod/sm/templates + /usr/local/MATLAB/R2016a/toolbox/physmod/sm/gui/m + /usr/local/MATLAB/R2016a/toolbox/ident/ident + /usr/local/MATLAB/R2016a/toolbox/ident/nlident + /usr/local/MATLAB/R2016a/toolbox/ident/idobsolete + /usr/local/MATLAB/R2016a/toolbox/ident/idguis + /usr/local/MATLAB/R2016a/toolbox/ident/idutils + /usr/local/MATLAB/R2016a/toolbox/ident/idrecursive + /usr/local/MATLAB/R2016a/toolbox/ident/idhelp + /usr/local/MATLAB/R2016a/toolbox/physmod/powersys/powerdemo/machines + /usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks + /usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks/masks + /usr/local/MATLAB/R2016a/toolbox/target/extensions/operatingsystem/windows/blks/mex + /usr/local/MATLAB/R2016a/toolbox/shared/networklib + /usr/local/MATLAB/R2016a/toolbox/physmod/sm/sli/m + /usr/local/MATLAB/R2016a/toolbox/physmod/sm/sm/m + /usr/local/MATLAB/R2016a/toolbox/shared/advisor + /usr/local/MATLAB/R2016a/toolbox/shared/filterdesignlib + /usr/local/MATLAB/R2016a/toolbox/matlab/connector/connector + /usr/local/MATLAB/R2016a/toolbox/idelink/foundation + /usr/local/MATLAB/R2016a/toolbox/idelink/foundation/util + /usr/local/MATLAB/R2016a/toolbox/idelink/foundation/errorhandler + /usr/local/MATLAB/R2016a/toolbox/idelink/foundation/xmakefile + /usr/local/MATLAB/R2016a/toolbox/idelink/foundation/hookpoints + /usr/local/MATLAB/R2016a/toolbox/shared/comparisons + /usr/local/MATLAB/R2016a/toolbox/signal/sigdemos + /usr/local/MATLAB/R2016a/toolbox/matlab/configtools + /usr/local/MATLAB/R2016a/toolbox/simbio/simbio + /usr/local/MATLAB/R2016a/toolbox/matlab/external/interfaces/python + /usr/local/MATLAB/R2016a/toolbox/shared/m3i + /usr/local/MATLAB/R2016a/toolbox/matlab/toolstrip + /usr/local/MATLAB/R2016a/toolbox/dsp/dspdeployabledemos + /usr/local/MATLAB/R2016a/toolbox/slvnv/styleguide + /usr/local/MATLAB/R2016a/help/toolbox/robust/examples + /usr/local/MATLAB/R2016a/toolbox/shared/deviceplugindetection + /usr/local/MATLAB/R2016a/toolbox/physmod/simscape/compiler/mli/m + /usr/local/MATLAB/R2016a/toolbox/physmod/gui/gfx/m + /usr/local/MATLAB/R2016a/toolbox/physmod/sm/import/m + /usr/local/MATLAB/R2016a/toolbox/compiler/java + /usr/local/MATLAB/R2016a/toolbox/physmod/pe/utils/m + /usr/local/MATLAB/R2016a/toolbox/rtw/rtw + /usr/local/MATLAB/R2016a/toolbox/coder/foundation + /usr/local/MATLAB/R2016a/toolbox/coder/foundation/build + /usr/local/MATLAB/R2016a/toolbox/coder/foundation/build/tools/registry + /usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl + /usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/AUTOSAR/AUTOSAR4p0/IFX + /usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/AUTOSAR/AUTOSAR4p0/IFL + /usr/local/MATLAB/R2016a/toolbox/coder/foundation/tfl/gui + /usr/local/MATLAB/R2016a/toolbox/coder/foundation/templates + /usr/local/MATLAB/R2016a/toolbox/shared/simtargets + /usr/local/MATLAB/R2016a/toolbox/physmod/mech/mechdemos + /usr/local/MATLAB/R2016a/toolbox/shared/maputils + /usr/local/MATLAB/R2016a/toolbox/coder/foundation/passmanager + /usr/local/MATLAB/R2016a/toolbox/simulink/simulink/iodata/iomap + /usr/local/MATLAB/R2016a/toolbox/fininst/fininstdemos + /usr/local/MATLAB/R2016a/toolbox/nnet + /usr/local/MATLAB/R2016a/toolbox/nnet/nncontrol + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnadapt + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndatafun + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnderivative + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndistance + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nndivision + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitlayer + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitnetwork + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nninitweight + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnlearn + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetfun + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetinput + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnnetwork + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnperformance + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnplot + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnprocess + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnsearch + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntopology + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntrain + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nntransfer + /usr/local/MATLAB/R2016a/toolbox/nnet/nnet/nnweight + /usr/local/MATLAB/R2016a/toolbox/nnet/nnguis + /usr/local/MATLAB/R2016a/toolbox/nnet/nnobsolete + /usr/local/MATLAB/R2016a/toolbox/nnet/nnutils + /usr/local/MATLAB/R2016a/toolbox/matlab/addons_product + /usr/local/MATLAB/R2016a/toolbox/shared/tracking/trackinglib + /usr/local/MATLAB/R2016a/toolbox/shared/simulink/sysarch/sysarch + /usr/local/MATLAB/R2016a/toolbox/shared/slreportgen/reportexplorer + /usr/local/MATLAB/R2016a/toolbox/coder/embeddedcoder_templates + /usr/local/MATLAB/R2016a/toolbox/coder/wizard + /usr/local/MATLAB/R2016a/toolbox/physmod/sm/core/m + /usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples + /usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/ros + /usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/ros/helpers + /usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotalgs + /usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotalgs/helpers + /usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotcore + /usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotcore/helpers + /usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotsimulink + /usr/local/MATLAB/R2016a/toolbox/robotics/robotexamples/robotsimulink/helpers + /usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine + /usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/numerics + /usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/options + /usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/optim + /usr/local/MATLAB/R2016a/toolbox/shared/controllib/engine/blocks + /usr/local/MATLAB/R2016a/toolbox/dsp/filterdesign + /usr/local/MATLAB/R2016a/toolbox/finance/findemos + /usr/local/MATLAB/R2016a/toolbox/physmod/powersys/facts/facts + + + +```matlab +pwd +``` + + ans = + + /home/ryan/Documents/UConn/ME3255/me3255_S2017/lecture_03 + + + +path + +## Assignments (`=`-operator) + +Matlab is interpreted language so each line of code (either saved text file or command-line) is executed as a standalone command + +These are reffered to "scripts" + + +```matlab +a=10; % line one assigns a to 10 +b=a*3; % line two assigns b to 10 times 3 by calling 'a' from line one +a+b % line three does not assign anything directly, but leaving off the ";" prints the result + % ans +``` + + ans = + + 40 + + +Matlab has a number of "objects" that you can assign to variables +1. arrays (vectors and matrices `[`...`]`) +2. strings (text `"`...`"` ) +3. cells (combination of strings, text, even function calls `{`...`}`) +3. functions (both built-in, defined or developed) +4. and more... (classes defined by `classdef` - you can create your own object to help organize data) + +### 1- Arrays + +Default in matlab is that when you assign a value to a variable, it is stored as an array + +arrays are N x M x ... values of integers or floating point numbers or complex integers/floating point numbers + +Use the parantheses to access values in an array `...(n,m)` + + +```matlab +a=10; % a is 1x1 array where a(1,1)==10 +a(1,1)==10 + +``` + + ans = + + 1 + + + +```matlab +a(2) +``` + + Index exceeds matrix dimensions. +  + + +```matlab +A = [1 2 3;4,5,6;7,8,9;10,11,12] +fprintf('size of A is %i x %i\n',size(A)) +A(3,1) +A(6) +``` + + A = + + 1 2 3 + 4 5 6 + 7 8 9 + 10 11 12 + + size of A is 4 x 3 + + ans = + + 7 + + + ans = + + 5 + + +vectors are either 1xN or Nx1 arrays for row and column + + +```matlab +v_row = [1,2,3] %row vector +v_column = [1;2;3] %column vector + +``` + + v_row = + + 1 2 3 + + + v_column = + + 1 + 2 + 3 + + +Matrices are MxN arrays +the `:`-symbol can substitute for a counting + + +```matlab +A(1,:) % the colon assumes you want the first value, 1, counting up by 1 to the last value, 4 +``` + + ans = + + 1 2 3 + + +You can also use every 2nd value or any other integer up to `end` which is the largest value of that row or column of the array + + +```matlab +A(1:2:end,1) % you can also use `end` +``` + + ans = + + 1 + 7 + + + +```matlab +A(:) +``` + + ans = + + 1 + 4 + 7 + 10 + 2 + 5 + 8 + 11 + 3 + 6 + 9 + 12 + + +In general, arrays can be any size + +take rolling 4 die and determining the sum of the components + + +```matlab +A_6666 = zeros(6,6,6,6); %make a 6 x 6 x 6 x 6 array (1296 different values) +for i=1:6 + for j=1:6 + for k=1:6 + for l=1:6 + A_6666(i,j,k,l)=i+j+k+l; % each value is the sum of the indices + end + end + end +end + +``` + + +```matlab +mean(A_6666(:)) +std(A_6666(:)) +``` + + ans = + + 14 + + + ans = + + 3.4170 + + + +```matlab +A_6666(1,4,2,5) +``` + + ans = + + 12 + + +## Cells combine different size arrays and text +### but, you cannot use math operators 'binary operators' + + +```matlab +C={}; +C{1}=linspace(0,1,10); +C{2}=linspace(0,1,3); +C{'z'}='holy cow'; +``` + + +```matlab +C{1}*C{1}' +``` + + ans = + + 3.5185 + + +## Strings can be combined and printed + + +```matlab +string1 = 'computational'; string2 = 'mechanics'; +[string1, ' ', string2] +``` + + ans = + + computational mechanics + + +use `fprintf` to format strings and numbers for output and `sprintf` to save variables + + + +```matlab +fprintf([string1,' ',string2,'\n\n']) +string = sprintf('the dog had %i legs and weighed %1.1f lbs',4,10.0) +``` + + computational mechanics + + + string = + + the dog had 4 legs and weighed 10.0 lbs + + +the `\` signifies a special character e.g. `\n` = newline, `\t` = tab + +to actually print the "\", use `\\` + + +```matlab +fprintf('\\') +``` + + \ + + +## This is helpful to create reports of computed data + + +```matlab +%fid = fopen('file.txt','w'); +fprintf(fid,[string1, ' ', string2]) +fprintf(fid,'\n') +fprintf(fid,string) +fprintf(fid,'\n') +fprintf(fid,'are you awake?') +``` + + ans = + + 23 + + + ans = + + 1 + + + ans = + + 39 + + + ans = + + 1 + + + ans = + + 14 + + +## Math operators (=, +, -, /, *, ^) + +Because matlab assumes all variables are matrices, then all operators are matrix operations + + +```matlab +a+a % add two 1x1 arrays +``` + + ans = 20 + + + +```matlab +A+A % add two 4 x 3 arrays +``` + + ans = + + 2 4 6 + 8 10 12 + 14 16 18 + 20 22 24 + + + + +```matlab +A*A' +``` + + ans = + + 14 32 50 68 + 32 77 122 167 + 50 122 194 266 + 68 167 266 365 + + + +```matlab +A.^2 +``` + + ans = + + 1 4 9 + 16 25 36 + 49 64 81 + 100 121 144 + + + +```matlab +A.*A +``` + + ans = + + 1 4 9 + 16 25 36 + 49 64 81 + 100 121 144 + + + +```matlab +A/A +``` + + [> In pymat_eval (line 31) + In matlabserver (line 24)] + [Warning: Rank deficient, rank = 2, tol = 1.696862e-14.] + + ans = + + 1.0000 0 0 -0.0000 + 0.6667 0 0 0.3333 + 0.3333 0 0 0.6667 + 0.0000 0 0 1.0000 + + + +```matlab +help / +``` + + / Slash or right matrix divide. + A/B is the matrix division of B into A, which is roughly the + same as A*INV(B) , except it is computed in a different way. + More precisely, A/B = (B'\A')'. See MLDIVIDE for details. + + C = MRDIVIDE(A,B) is called for the syntax 'A / B' when A or B is an + object. + + See also MLDIVIDE, RDIVIDE, LDIVIDE. + + Reference page in Doc Center + doc mrdivide + + Other functions named mrdivide + + codistributed/mrdivide gf/mrdivide laurpoly/mrdivide + duration/mrdivide gpuArray/mrdivide StaticModel/mrdivide + DynamicSystem/mrdivide LagOp/mrdivide timeseries/mrdivide + fints/mrdivide + + +To accomplish one-by-one operations, need to include a `.` + + +```matlab +A./A +``` + + ans = + + 1 1 1 + 1 1 1 + 1 1 1 + 1 1 1 + + + +But, for 1x1 arrays, these are considered scalars and you get a free-pass + + +```matlab +a*A % where a=10 and A is 1:12 in a 3 x 4 matrix +``` + + ans = + + 10 20 30 + 40 50 60 + 70 80 90 + 100 110 120 + + + +Some built in Matlab functions (e.g. the reasons to run Matlab) + + +```matlab +t_linear=linspace(0,1,11) +``` + + t_linear = + + Columns 1 through 7 + + 0 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 + + Columns 8 through 11 + + 0.7000 0.8000 0.9000 1.0000 + + + +```matlab +t_log = logspace(0,2,3) % log interval from 10^0 to 10^2 split into 3 values +``` + + t_log = + + 1 10 100 + + + +```matlab +help logspace +``` + + 'logspace' is a function from the file /usr/share/octave/4.0.0/m/general/logspace.m + + -- Function File: logspace (A, B) + -- Function File: logspace (A, B, N) + -- Function File: logspace (A, pi, N) + Return a row vector with N elements logarithmically spaced from + 10^A to 10^B. + + If N is unspecified it defaults to 50. + + If B is equal to pi, the points are between 10^A and pi, _not_ 10^A + and 10^pi, in order to be compatible with the corresponding MATLAB + function. + + Also for compatibility with MATLAB, return the second argument B if + fewer than two values are requested. + + See also: linspace. + + Additional help for built-in functions and operators is + available in the online version of the manual. Use the command + 'doc ' to search the manual index. + + Help and information about Octave is also available on the WWW + at http://www.octave.org and via the help@octave.org + mailing list. + + +## When using the command prompt, anything in your path or working directory can be run either as a script, function or class (to define objects) + + +```matlab +%myscript +``` + + +```matlab +%plot --format svg +``` + +When using the GUI, your command history is saved, but it is better to save your work either as a script or a function or combination of both + +Creating a default graph script: + + +```matlab +set(0, 'defaultAxesFontSize', 16) +set(0,'defaultTextFontSize',14) +set(0,'defaultLineLineWidth',3) +``` + + +```matlab +plot(t_linear,t_linear.^2) +xlabel('time (s)') +ylabel('displacement (m)') +``` + + +![png](output_58_0.png) + + +#EOL + +## Graphics can be produced with a number of functions + +2-D plots, 3-D plots, contour plots, 3D contour plots ... + + +```matlab +x=linspace(-1,1,21); y=linspace(-1,1,21); +[X,Y]=meshgrid(x,y); +Z=(X.*Y.^3-X.^3.*Y) +``` + + Z = + + Columns 1 through 8: + + 0.00000 0.17100 0.28800 0.35700 0.38400 0.37500 0.33600 0.27300 + -0.17100 0.00000 0.12240 0.20160 0.24300 0.25200 0.23400 0.19440 + -0.28800 -0.12240 0.00000 0.08400 0.13440 0.15600 0.15360 0.13200 + -0.35700 -0.20160 -0.08400 0.00000 0.05460 0.08400 0.09240 0.08400 + -0.38400 -0.24300 -0.13440 -0.05460 0.00000 0.03300 0.04800 0.04860 + -0.37500 -0.25200 -0.15600 -0.08400 -0.03300 0.00000 0.01800 0.02400 + -0.33600 -0.23400 -0.15360 -0.09240 -0.04800 -0.01800 0.00000 0.00840 + -0.27300 -0.19440 -0.13200 -0.08400 -0.04860 -0.02400 -0.00840 0.00000 + -0.19200 -0.13860 -0.09600 -0.06300 -0.03840 -0.02100 -0.00960 -0.00300 + -0.09900 -0.07200 -0.05040 -0.03360 -0.02100 -0.01200 -0.00600 -0.00240 + 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 + 0.09900 0.07200 0.05040 0.03360 0.02100 0.01200 0.00600 0.00240 + 0.19200 0.13860 0.09600 0.06300 0.03840 0.02100 0.00960 0.00300 + 0.27300 0.19440 0.13200 0.08400 0.04860 0.02400 0.00840 -0.00000 + 0.33600 0.23400 0.15360 0.09240 0.04800 0.01800 -0.00000 -0.00840 + 0.37500 0.25200 0.15600 0.08400 0.03300 0.00000 -0.01800 -0.02400 + 0.38400 0.24300 0.13440 0.05460 -0.00000 -0.03300 -0.04800 -0.04860 + 0.35700 0.20160 0.08400 -0.00000 -0.05460 -0.08400 -0.09240 -0.08400 + 0.28800 0.12240 0.00000 -0.08400 -0.13440 -0.15600 -0.15360 -0.13200 + 0.17100 -0.00000 -0.12240 -0.20160 -0.24300 -0.25200 -0.23400 -0.19440 + 0.00000 -0.17100 -0.28800 -0.35700 -0.38400 -0.37500 -0.33600 -0.27300 + + Columns 9 through 16: + + 0.19200 0.09900 0.00000 -0.09900 -0.19200 -0.27300 -0.33600 -0.37500 + 0.13860 0.07200 0.00000 -0.07200 -0.13860 -0.19440 -0.23400 -0.25200 + 0.09600 0.05040 0.00000 -0.05040 -0.09600 -0.13200 -0.15360 -0.15600 + 0.06300 0.03360 0.00000 -0.03360 -0.06300 -0.08400 -0.09240 -0.08400 + 0.03840 0.02100 0.00000 -0.02100 -0.03840 -0.04860 -0.04800 -0.03300 + 0.02100 0.01200 0.00000 -0.01200 -0.02100 -0.02400 -0.01800 0.00000 + 0.00960 0.00600 0.00000 -0.00600 -0.00960 -0.00840 0.00000 0.01800 + 0.00300 0.00240 0.00000 -0.00240 -0.00300 0.00000 0.00840 0.02400 + 0.00000 0.00060 0.00000 -0.00060 0.00000 0.00300 0.00960 0.02100 + -0.00060 0.00000 0.00000 0.00000 0.00060 0.00240 0.00600 0.01200 + 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 + 0.00060 -0.00000 0.00000 0.00000 -0.00060 -0.00240 -0.00600 -0.01200 + -0.00000 -0.00060 0.00000 0.00060 0.00000 -0.00300 -0.00960 -0.02100 + -0.00300 -0.00240 0.00000 0.00240 0.00300 0.00000 -0.00840 -0.02400 + -0.00960 -0.00600 0.00000 0.00600 0.00960 0.00840 0.00000 -0.01800 + -0.02100 -0.01200 0.00000 0.01200 0.02100 0.02400 0.01800 0.00000 + -0.03840 -0.02100 0.00000 0.02100 0.03840 0.04860 0.04800 0.03300 + -0.06300 -0.03360 0.00000 0.03360 0.06300 0.08400 0.09240 0.08400 + -0.09600 -0.05040 0.00000 0.05040 0.09600 0.13200 0.15360 0.15600 + -0.13860 -0.07200 0.00000 0.07200 0.13860 0.19440 0.23400 0.25200 + -0.19200 -0.09900 0.00000 0.09900 0.19200 0.27300 0.33600 0.37500 + + Columns 17 through 21: + + -0.38400 -0.35700 -0.28800 -0.17100 0.00000 + -0.24300 -0.20160 -0.12240 0.00000 0.17100 + -0.13440 -0.08400 0.00000 0.12240 0.28800 + -0.05460 0.00000 0.08400 0.20160 0.35700 + 0.00000 0.05460 0.13440 0.24300 0.38400 + 0.03300 0.08400 0.15600 0.25200 0.37500 + 0.04800 0.09240 0.15360 0.23400 0.33600 + 0.04860 0.08400 0.13200 0.19440 0.27300 + 0.03840 0.06300 0.09600 0.13860 0.19200 + 0.02100 0.03360 0.05040 0.07200 0.09900 + 0.00000 0.00000 0.00000 0.00000 0.00000 + -0.02100 -0.03360 -0.05040 -0.07200 -0.09900 + -0.03840 -0.06300 -0.09600 -0.13860 -0.19200 + -0.04860 -0.08400 -0.13200 -0.19440 -0.27300 + -0.04800 -0.09240 -0.15360 -0.23400 -0.33600 + -0.03300 -0.08400 -0.15600 -0.25200 -0.37500 + 0.00000 -0.05460 -0.13440 -0.24300 -0.38400 + 0.05460 0.00000 -0.08400 -0.20160 -0.35700 + 0.13440 0.08400 0.00000 -0.12240 -0.28800 + 0.24300 0.20160 0.12240 0.00000 -0.17100 + 0.38400 0.35700 0.28800 0.17100 0.00000 + + + + +```matlab +contour(X,Y,Z) +``` + + +![svg](output_63_0.svg) + + + +```matlab +mesh(X,Y,Z) +``` + + +![svg](output_64_0.svg) + + + +```matlab +pcolor(X,Y,Z) +``` + + +![svg](output_65_0.svg) + + +## diff --git a/03_Intro to matlab-octave/octave-workspace b/03_Intro to matlab-octave/octave-workspace new file mode 100644 index 0000000000000000000000000000000000000000..8c437bb6e55a5d1b6115661b3a20e86870909d32 GIT binary patch literal 153 zcmeZIE=ep))iu=hVPIxpU`Wg>29gX6|5<=Ua%xV_zyJULGXmL6K+FfkHXuRW)ST4Z s)VvZqpa4)UCy*#Ej4v)J%FIiLX#g3JmQ#{Vk|uVbru4khf}H#k0D5999{>OV literal 0 HcmV?d00001 diff --git a/03_Intro to matlab-octave/output_58_0.png b/03_Intro to matlab-octave/output_58_0.png new file mode 100644 index 0000000000000000000000000000000000000000..1737c765d3f41f26bd77bb971b0f5a0e1a064238 GIT binary patch literal 17421 zcmb`vby!vH*DgBgMTZCok^%zKseq&)Ez(LYK)O^qB&3y8DFqSfkPamTML+}u=|-iy 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100644 index 0000000..2d8f07b --- /dev/null +++ b/04_intro to m-files/.ipynb_checkpoints/04_intro to m-files-checkpoint.ipynb @@ -0,0 +1,1612 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "setdefaults" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%plot --format svg" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Functions\n", + "\n", + "So far, everything has been executed as a script, or calling a built-in function. \n", + "\n", + "Now we begin building our own functions.\n", + "\n", + "Functions are saved in memory (or better yet) in a folder in your path or current directory\n", + "\n", + "Example of storing a function in memory\n", + "\n", + "$f(x,y) = (xy^{3}-x^{3}y)$" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f =\n", + "\n", + "@(x, y) (x .* y .^ 3 - x .^ 3 .* y)\n", + "\n" + ] + } + ], + "source": [ + "f= @(x,y) (x.*y.^3-x.^3.*y)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\n", + 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"slide_type": "slide" + } + }, + "source": [ + "Here we will save a function called `my_velocity` as `my_velocity.m`\n", + "\n", + "```matlab \n", + "function [vx,vy] = my_velocity(x,y,t)\n", + " % Help documentation of \"my_velocity\"\n", + " % This function computes the velocity in the x- and y-directions given\n", + " % three vectors of position in x- and y-directions as a function of time\n", + " % x = x-position\n", + " % y = y-position\n", + " % t = time\n", + " % output\n", + " % vx = velocity in x-direction\n", + " % vy = velocity in y-direction\n", + " \n", + " vx=zeros(length(t),1);\n", + " vy=zeros(length(t),1);\n", + " \n", + " vx(1:end-1) = diff(x)./diff(t); % calculate vx as delta x/delta t\n", + " vy(1:end-1) = diff(y)./diff(t); % calculate vy as delta y/delta t\n", + " \n", + " vx(end) = vx(end-1);\n", + " vy(end) = vy(end-1);\n", + "\n", + "end\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "'my_velocity' is a function from the file /home/ryan/Documents/UConn/ME3255/me3255_S2017/course_git/lecture_04/my_velocity.m\n", + "\n", + " Help documentation of \"my_velocity\"\n", + " This function computes the velocity in the x- and y-directions given\n", + " three vectors of position in x- and y-directions as a function of time\n", + " x = x-position\n", + " y = y-position\n", + " t = time\n", + " output\n", + " vx = velocity in x-direction\n", + " vy = velocity in y-direction\n", + "\n", + "\n", + "Additional help for built-in functions and operators is\n", + "available in the online version of the manual. Use the command\n", + "'doc ' to search the manual index.\n", + "\n", + "Help and information about Octave is also available on the WWW\n", + "at http://www.octave.org and via the help@octave.org\n", + "mailing list.\n" + ] + } + ], + "source": [ + "help my_velocity" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "t=linspace(0,10,100)'; \n", + "x=t.^3; % vx = 3*t^2\n", + "y=t.^2/2; % vy = t\n", + "[vx,vy]=my_velocity(x,y,t);" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\t\n", + "\t\t0\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t50\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t100\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t150\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t200\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t250\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t300\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t0\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t2\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t4\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t6\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t8\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t10\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\t\n", + "\t\tvx\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\ttime\n", + "\t\n", + "\n", + "\n", + "\n", + "\tgnuplot_plot_1a\n", + "\n", + "\n", + "\n", + "\t\t \n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "\t\n", + "\tgnuplot_plot_2a\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\t\n", + "\t\t0\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t2\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t4\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t6\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t8\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t10\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t0\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t2\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t4\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t6\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t8\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t10\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\t\n", + "\t\tvy\n", + "\t\n", + "\n", + "\n", + "\n", + "\tgnuplot_plot_1b\n", + "\n", + "\n", + "\n", + "\t\t \n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "\t\n", + "\tgnuplot_plot_2b\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "[axes,h1,h2] = plotyy(t(1:10:end),vx(1:10:end), t(1:10:end),vy(1:10:end));\n", + "set([h1,h2],\"marker\",\"o\")\n", + "set([h1,h2],\"linewidth\",0)\n", + "hold on\n", + "[~,h3,h4]=plotyy(t,3*t.^2,t,1*t);\n", + "xlabel (\"time\");\n", + "ylabel (axes(1), \"v_{x}\");\n", + "ylabel (axes(2), \"v_{y}\");" + ] + }, + { + "cell_type": "code", + "execution_count": 83, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "COLORMAP Color look-up table.\n", + " COLORMAP(MAP) sets the current figure's colormap to MAP.\n", + " COLORMAP('default') sets the current figure's colormap to\n", + " the root's default, whose setting is PARULA.\n", + " MAP = COLORMAP returns the three-column matrix of RGB triplets defining \n", + " the colormap for the current figure.\n", + " COLORMAP(FIG,...) sets the colormap for the figure specified by FIG.\n", + " COLORMAP(AX,...) sets the colormap for the axes specified by AX. \n", + " Each axes within a figure can have a unique colormap. After you set\n", + " an axes colormap, changing the figure colormap does not affect the axes.\n", + " MAP = COLORMAP(FIG) returns the colormap for the figure specified by FIG.\n", + " MAP = COLORMAP(AX) returns the colormap for the axes specified by AX.\n", + " \n", + " A color map matrix may have any number of rows, but it must have\n", + " exactly 3 columns. Each row is interpreted as a color, with the\n", + " first element specifying the intensity of red light, the second\n", + " green, and the third blue. Color intensity can be specified on the\n", + " interval 0.0 to 1.0.\n", + " For example, [0 0 0] is black, [1 1 1] is white,\n", + " [1 0 0] is pure red, [.5 .5 .5] is gray, and\n", + " [127/255 1 212/255] is aquamarine.\n", + " \n", + " Graphics objects that use pseudocolor -- SURFACE and PATCH objects,\n", + " which are created by the functions MESH, SURF, and PCOLOR -- map\n", + " a color matrix, C, whose values are in the range [Cmin, Cmax],\n", + " to an array of indices, k, in the range [1, m].\n", + " The values of Cmin and Cmax are either min(min(C)) and max(max(C)),\n", + " or are specified by CAXIS. The mapping is linear, with Cmin\n", + " mapping to index 1 and Cmax mapping to index m. The indices are\n", + " then used with the colormap to determine the color associated\n", + " with each matrix element. See CAXIS for details.\n", + " \n", + " Type HELP GRAPH3D to see a number of useful colormaps.\n", + " \n", + " COLORMAP is a function that sets the Colormap property of a figure.\n", + " \n", + " See also HSV, CAXIS, SPINMAP, BRIGHTEN, RGBPLOT, FIGURE, COLORMAPEDITOR.\n", + "\n", + " Reference page in Doc Center\n", + " doc colormap\n" + ] + } + ], + "source": [ + "help colormap" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Create a new function that calls 'my_velocity' called, `my_acceleration.m`\n", + "\n", + "```matlab\n", + "function [ax,ay]=my_acceleration(x,y,t)\n", + " % Help documentation of \"my_acceleration\"\n", + " % This function computes the acceleration in the x- and y-directions given\n", + " % three vectors of position in x- and y-directions as a function of time\n", + " % x = x-position\n", + " % y = y-position\n", + " % t = time\n", + " % output\n", + " % ax = acceleration in x-direction\n", + " % ay = acceleration in y-direction\n", + "\n", + " function v=diff_match_dims(x,t)\n", + " v=zeros(length(t),1);\n", + " v(1:end-1)=diff(x)./diff(t);\n", + " v(end)=v(end-1);\n", + " end\n", + "\n", + " [vx,vy]=my_velocity(x,y,t);\n", + "\n", + " ax = diff_match_dims(vx,t);\n", + " ay = diff_match_dims(vy,t);\n", + "\n", + "end\n", + "```" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "'my_acceleration' is a function from the file /home/ryan/Documents/UConn/ME3255/me3255_S2017/course_git/lecture_04/my_acceleration.m\n", + "\n", + " Help documentation of \"my_acceleration\"\n", + " This function computes the acceleration in the x- and y-directions given\n", + " three vectors of position in x- and y-directions as a function of time\n", + " x = x-position\n", + " y = y-position\n", + " t = time\n", + " output\n", + " ax = acceleration in x-direction\n", + " ay = acceleration in y-direction\n", + "\n", + "\n", + "Additional help for built-in functions and operators is\n", + "available in the online version of the manual. Use the command\n", + "'doc ' to search the manual index.\n", + "\n", + "Help and information about Octave is also available on the WWW\n", + "at http://www.octave.org and via the help@octave.org\n", + "mailing list.\n" + ] + } + ], + "source": [ + "help my_acceleration" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "[ax,ay]=my_acceleration(x,y,t);" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t \n", 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undefined near line 1 column 1\r\n" + ] + } + ], + "source": [ + "diff_match_dims(x,t)" + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "0.19.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/04_intro to m-files/04_intro to m-files.ipynb b/04_intro to m-files/04_intro to m-files.ipynb new file mode 100644 index 0000000..45bb1a0 --- /dev/null +++ b/04_intro to m-files/04_intro to m-files.ipynb @@ -0,0 +1,1603 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "setdefaults" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "%plot --format svg" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Intro to functions and m-files" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Building our own functions." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Functions are saved in memory (or better yet) in a folder in your path or current directory\n", + "\n", + "Example of storing a function in memory\n", + "\n", + "$f(x,y) = (xy^{3}-x^{3}y)$" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "f =\n", + "\n", + "@(x, y) (x .* y .^ 3 - x .^ 3 .* y)\n", + "\n", + "ans = 6\n" + ] + } + ], + "source": [ + "f= @(x,y) (x.*y.^3-x.^3.*y)\n", + "f(1,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\t\n", + "\t \n", + "\t \n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\tgnuplot_plot_1a\n", + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\t\n", + "\n", + "\t\n", + "\n", + "\t\n", + "\n", 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"collapsed": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "function [vx,vy] = my_velocity(x,y,t)\n", + " % Help documentation of \"my_velocity\"\n", + " % This function computes the velocity in the x- and y-directions given\n", + " % three vectors of position in x- and y-directions as a function of time\n", + " % x = x-position\n", + " % y = y-position\n", + " % t = time\n", + " % output\n", + " % vx = velocity in x-direction\n", + " % vy = velocity in y-direction\n", + " \n", + " vx=zeros(length(t),1);\n", + " vy=zeros(length(t),1);\n", + " \n", + " vx(1:end-1) = diff(x)./diff(t); % calculate vx as delta x/delta t\n", + " vy(1:end-1) = diff(y)./diff(t); % calculate vy as delta y/delta t\n", + " \n", + " vx(end) = vx(end-1);\n", + " vy(end) = vy(end-1);\n", + "\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "'my_velocity' is a function from the file /home/ryan/Documents/UConn/ME3255/course_git_S2017/04_intro to m-files/my_velocity.m\n", + "\n", + " Help documentation of \"my_velocity\"\n", + " This function computes the velocity in the x- and y-directions given\n", + " three vectors of position in x- and y-directions as a function of time\n", + " x = x-position\n", + " y = y-position\n", + " t = time\n", + " output\n", + " vx = velocity in x-direction\n", + " vy = velocity in y-direction\n", + "\n", + "\n", + "Additional help for built-in functions and operators is\n", + "available in the online version of the manual. Use the command\n", + "'doc ' to search the manual index.\n", + "\n", + "Help and information about Octave is also available on the WWW\n", + "at http://www.octave.org and via the help@octave.org\n", + "mailing list.\n" + ] + } + ], + "source": [ + "help my_velocity" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "t=linspace(0,10,100)'; \n", + "x=t.^3; % vx = 3*t^2\n", + "y=t.^2/2; % vy = t\n", + "[vx,vy]=my_velocity(x,y,t);" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + 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+ "\t\n", + "\n", + "\n", + "\n", + "\tgnuplot_plot_1b\n", + "\n", + "\n", + "\n", + "\t\t \n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "\t\n", + "\tgnuplot_plot_2b\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "[axes,h1,h2] = plotyy(t(1:10:end),vx(1:10:end), t(1:10:end),vy(1:10:end));\n", + "set([h1,h2],\"marker\",\"o\")\n", + "set([h1,h2],\"linewidth\",0)\n", + "hold on\n", + "[~,h3,h4]=plotyy(t,3*t.^2,t,1*t);\n", + "xlabel (\"time\");\n", + "ylabel (axes(1), \"v_{x}\");\n", + "ylabel (axes(2), \"v_{y}\");" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "Create a new function that calls 'my_velocity' called, `my_acceleration.m`" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": { + "collapsed": true, + "slideshow": { + "slide_type": "fragment" + } + }, + "outputs": [], + "source": [ + "function [ax,ay]=my_acceleration(x,y,t)\n", + " % Help documentation of \"my_acceleration\"\n", + " % This function computes the acceleration in the x- and y-directions given\n", + " % three vectors of position in x- and y-directions as a function of time\n", + " % x = x-position\n", + " % y = y-position\n", + " % t = time\n", + " % output\n", + " % ax = acceleration in x-direction\n", + " % ay = acceleration in y-direction\n", + "\n", + " function v=diff_match_dims(x,t)\n", + " v=zeros(length(t),1);\n", + " v(1:end-1)=diff(x)./diff(t);\n", + " v(end)=v(end-1);\n", + " end\n", + "\n", + " [vx,vy]=my_velocity(x,y,t);\n", + "\n", + " ax = diff_match_dims(vx,t);\n", + " ay = diff_match_dims(vy,t);\n", + "\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "'my_acceleration' is a function from the file /home/ryan/Documents/UConn/ME3255/me3255_S2017/course_git/lecture_04/my_acceleration.m\n", + "\n", + " Help documentation of \"my_acceleration\"\n", + " This function computes the acceleration in the x- and y-directions given\n", + " three vectors of position in x- and y-directions as a function of time\n", + " x = x-position\n", + " y = y-position\n", + " t = time\n", + " output\n", + " ax = acceleration in x-direction\n", + " ay = acceleration in y-direction\n", + "\n", + "\n", + "Additional help for built-in functions and operators is\n", + "available in the online version of the manual. Use the command\n", + "'doc ' to search the manual index.\n", + "\n", + "Help and information about Octave is also available on the WWW\n", + "at http://www.octave.org and via the help@octave.org\n", + "mailing list.\n" + ] + } + ], + "source": [ + "help my_acceleration" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "t=linspace(0,10,100)'; \n", + "x=t.^3; % ax = 6*t\n", + "y=t.^2/2; % ay = 1\n", + "[ax,ay]=my_acceleration(x,y,t);" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "image/svg+xml": [ + "\n", + "\n", + "Gnuplot\n", + "Produced by GNUPLOT 5.0 patchlevel 3 \n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + 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"\n", + "\n", + "\tgnuplot_plot_1a\n", + "\n", + "\n", + "\n", + "\t\t \n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "\t\n", + "\tgnuplot_plot_2a\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\t\t\n", + "\t\t0\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t2\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t4\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t6\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t8\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t10\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t0.85\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t0.9\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t0.95\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t1\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t1.05\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t1.1\n", + "\t\n", + "\n", + "\n", + "\t\t\n", + "\t\t1.15\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\tgnuplot_plot_1b\n", + "\n", + "\n", + "\n", + "\t\t \n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "\t\n", + "\tgnuplot_plot_2b\n", + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "[axes,h1,h2] = plotyy(t(1:10:end),ax(1:10:end), t(1:10:end),ay(1:10:end));\n", + "set([h1,h2],\"linewidth\",0)\n", + "set([h1,h2],\"marker\",'s')\n", + "hold on\n", + "[~,h3,h4]=plotyy(t,6*t,t,1*t./t);\n", + "xlabel (\"time\");\n", + "ylabel (axes(1), \"a_{x}\");\n", + "ylabel (axes(2), \"a_{y}\");\n" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "collapsed": false, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "error: help: 'diff_match_dims' not found\r\n" + ] + } + ], + "source": [ + "help diff_match_dims" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Thanks " + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "MetaKernel Magics", + "url": "https://github.com/calysto/metakernel/blob/master/metakernel/magics/README.md" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "0.19.14" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/04_intro to m-files/lecture_4.md b/04_intro to m-files/lecture_4.md new file mode 100644 index 0000000..dd549aa --- /dev/null +++ b/04_intro to m-files/lecture_4.md @@ -0,0 +1,339 @@ + +## When using the command prompt, anything in your path or working directory can be run either as a script, function or class (to define objects) + +Questions from last class: +- I downloaded GitHub to my desktop but I cannot sign into my UConn account like I can online. +- I checked my grades on HuskyCt recently and I received a 0 / 100 for Homework 1. +- It is very hard to tell if what I'm doing on github is right or wrong. +- How often will be using our laptops during the lecture? +- How many frogs would it take to move a car that is stuck in the snow? And what would be the approximate cost to do so + +$m_{frog}$=22.7 g (https://en.wikipedia.org/wiki/Common_frog) + +$v_{frog}$=17 kph = 4.72 m/s (http://purelyfacts.com/question/14/is-a-toad-faster-than-a-frog?DDA=113&DDB=40) + +$m_{car}$=1000 kg (reasonable guess) + +conservation of momentum: + +$mv_{1} +mv_{2} = mv_{1}'+mv_{2}' = m_{total}v_{2}'$ + + +```matlab +number_of_frogs = 1; +v2=0; +while v2 < 1 % 1 m/s + m_frogs=number_of_frogs*22.7e-3; + number_of_frogs=number_of_frogs+1; + p1=(m_frogs)*4.72; % momentum 1 + v2=p1/(m_frogs+1000); % p2=p1, so v2=p1/m_total +end +number_of_frogs + +``` + + number_of_frogs = + + 11844 + + + +```matlab +%myscript +``` + + +```matlab +%plot --format svg +``` + +When using the GUI, your command history is saved, but it is better to save your work either as a script or a function or combination of both + +Creating a default graph script: `setdefaults.m` + +```matlab +set(0, 'defaultAxesFontSize', 16) +set(0,'defaultTextFontSize',14) +set(0,'defaultLineLineWidth',3) +``` + + +```matlab +set(0, 'defaultAxesFontSize', 16) +set(0,'defaultTextFontSize',14) +set(0,'defaultLineLineWidth',3) +``` + + +```matlab +t_linear=linspace(0,10,100); +plot(t_linear,t_linear.^2) +xlabel('time (s)') +ylabel('displacement (m)') +``` + + +![png](lecture_4_files/lecture_4_7_0.png) + + +#EOL + +## Graphics can be produced with a number of functions + +2-D plots, 3-D plots, contour plots, 3D contour plots ... + + +```matlab +x=linspace(-1,1,21); y=linspace(-1,1,21); +[X,Y]=meshgrid(x,y); +Z=(X.*Y.^3-X.^3.*Y) +``` + + Z = + + Columns 1 through 7 + + 0 0.1710 0.2880 0.3570 0.3840 0.3750 0.3360 + -0.1710 0 0.1224 0.2016 0.2430 0.2520 0.2340 + -0.2880 -0.1224 0 0.0840 0.1344 0.1560 0.1536 + -0.3570 -0.2016 -0.0840 0 0.0546 0.0840 0.0924 + -0.3840 -0.2430 -0.1344 -0.0546 0 0.0330 0.0480 + -0.3750 -0.2520 -0.1560 -0.0840 -0.0330 0 0.0180 + -0.3360 -0.2340 -0.1536 -0.0924 -0.0480 -0.0180 0 + -0.2730 -0.1944 -0.1320 -0.0840 -0.0486 -0.0240 -0.0084 + -0.1920 -0.1386 -0.0960 -0.0630 -0.0384 -0.0210 -0.0096 + -0.0990 -0.0720 -0.0504 -0.0336 -0.0210 -0.0120 -0.0060 + 0 0 0 0 0 0 0 + 0.0990 0.0720 0.0504 0.0336 0.0210 0.0120 0.0060 + 0.1920 0.1386 0.0960 0.0630 0.0384 0.0210 0.0096 + 0.2730 0.1944 0.1320 0.0840 0.0486 0.0240 0.0084 + 0.3360 0.2340 0.1536 0.0924 0.0480 0.0180 0.0000 + 0.3750 0.2520 0.1560 0.0840 0.0330 0 -0.0180 + 0.3840 0.2430 0.1344 0.0546 -0.0000 -0.0330 -0.0480 + 0.3570 0.2016 0.0840 0 -0.0546 -0.0840 -0.0924 + 0.2880 0.1224 0 -0.0840 -0.1344 -0.1560 -0.1536 + 0.1710 0.0000 -0.1224 -0.2016 -0.2430 -0.2520 -0.2340 + 0 -0.1710 -0.2880 -0.3570 -0.3840 -0.3750 -0.3360 + + Columns 8 through 14 + + 0.2730 0.1920 0.0990 0 -0.0990 -0.1920 -0.2730 + 0.1944 0.1386 0.0720 0 -0.0720 -0.1386 -0.1944 + 0.1320 0.0960 0.0504 0 -0.0504 -0.0960 -0.1320 + 0.0840 0.0630 0.0336 0 -0.0336 -0.0630 -0.0840 + 0.0486 0.0384 0.0210 0 -0.0210 -0.0384 -0.0486 + 0.0240 0.0210 0.0120 0 -0.0120 -0.0210 -0.0240 + 0.0084 0.0096 0.0060 0 -0.0060 -0.0096 -0.0084 + 0 0.0030 0.0024 0 -0.0024 -0.0030 0 + -0.0030 0 0.0006 0 -0.0006 0 0.0030 + -0.0024 -0.0006 0 0 0.0000 0.0006 0.0024 + 0 0 0 0 0 0 0 + 0.0024 0.0006 -0.0000 0 0 -0.0006 -0.0024 + 0.0030 0 -0.0006 0 0.0006 0 -0.0030 + 0 -0.0030 -0.0024 0 0.0024 0.0030 0 + -0.0084 -0.0096 -0.0060 0 0.0060 0.0096 0.0084 + -0.0240 -0.0210 -0.0120 0 0.0120 0.0210 0.0240 + -0.0486 -0.0384 -0.0210 0 0.0210 0.0384 0.0486 + -0.0840 -0.0630 -0.0336 0 0.0336 0.0630 0.0840 + -0.1320 -0.0960 -0.0504 0 0.0504 0.0960 0.1320 + -0.1944 -0.1386 -0.0720 0 0.0720 0.1386 0.1944 + -0.2730 -0.1920 -0.0990 0 0.0990 0.1920 0.2730 + + Columns 15 through 21 + + -0.3360 -0.3750 -0.3840 -0.3570 -0.2880 -0.1710 0 + -0.2340 -0.2520 -0.2430 -0.2016 -0.1224 -0.0000 0.1710 + -0.1536 -0.1560 -0.1344 -0.0840 0 0.1224 0.2880 + -0.0924 -0.0840 -0.0546 0 0.0840 0.2016 0.3570 + -0.0480 -0.0330 0.0000 0.0546 0.1344 0.2430 0.3840 + -0.0180 0 0.0330 0.0840 0.1560 0.2520 0.3750 + -0.0000 0.0180 0.0480 0.0924 0.1536 0.2340 0.3360 + 0.0084 0.0240 0.0486 0.0840 0.1320 0.1944 0.2730 + 0.0096 0.0210 0.0384 0.0630 0.0960 0.1386 0.1920 + 0.0060 0.0120 0.0210 0.0336 0.0504 0.0720 0.0990 + 0 0 0 0 0 0 0 + -0.0060 -0.0120 -0.0210 -0.0336 -0.0504 -0.0720 -0.0990 + -0.0096 -0.0210 -0.0384 -0.0630 -0.0960 -0.1386 -0.1920 + -0.0084 -0.0240 -0.0486 -0.0840 -0.1320 -0.1944 -0.2730 + 0 -0.0180 -0.0480 -0.0924 -0.1536 -0.2340 -0.3360 + 0.0180 0 -0.0330 -0.0840 -0.1560 -0.2520 -0.3750 + 0.0480 0.0330 0 -0.0546 -0.1344 -0.2430 -0.3840 + 0.0924 0.0840 0.0546 0 -0.0840 -0.2016 -0.3570 + 0.1536 0.1560 0.1344 0.0840 0 -0.1224 -0.2880 + 0.2340 0.2520 0.2430 0.2016 0.1224 0 -0.1710 + 0.3360 0.3750 0.3840 0.3570 0.2880 0.1710 0 + + + +```matlab +contour(X,Y,Z) +``` + + +![png](lecture_4_files/lecture_4_12_0.png) + + + +```matlab +mesh(X,Y,Z) +``` + + +![png](lecture_4_files/lecture_4_13_0.png) + + + +```matlab +pcolor(X,Y,Z) +``` + + +![png](lecture_4_files/lecture_4_14_0.png) + + +## Functions + +So far, everything has been executed as a script, or calling a built-in function. Now we begin building our own functions. + +Functions are saved in memory (or better yet) in a folder in your path or current directory + +Example of storing function in memory + +$f(x,y) = (xy^{3}-x^{3}y)$ + + +```matlab +f= @(x,y) (x.*y.^3-x.^3.*y) +``` + + f = + + @(x,y)(x.*y.^3-x.^3.*y) + + + +```matlab +f(0.1,-0.5) +``` + + ans = + + -0.0120 + + +Here we will save a function called `my_function` as `my_function.m` + +```matlab +function [vx,vy] = my_function(x,y,t) + % Help documentation of "my_function" + % This function computes the velocity in the x- and y-directions given + % three vectors of position in x- and y-directions as a function of time + % x = x-position + % y = y-position + % t = time + % output + % vx = velocity in x-direction + % vy = velocity in y-direction + + vx=zeros(length(t),1); + vy=zeros(length(t),1); + + vx(1:end-1) = diff(x)./diff(t); % calculate vx as delta x/delta t + vy(1:end-1) = diff(y)./diff(t); % calculate vy as delta y/delta t + + vx(end) = vx(end-1); + vy(end) = vy(end-1); + +end +``` + + +```matlab +help my_function +``` + + Help documentation of "my_function" + This function computes the velocity in the x- and y-directions given + three vectors of position in x- and y-directions as a function of time + x = x-position + y = y-position + t = time + output + vx = velocity in x-direction + vy = velocity in y-direction + + + +```matlab +t=linspace(0,10,100)'; +x=t.^3; % vx = 3*t^2 +y=t.^2/2; % vy = t +[vx,vy]=my_function(x,y,t); +``` + + +```matlab +yyaxis left +plot(t(1:10:end),vx(1:10:end),'o',t,3*t.^2) +ylabel('v_{x}') +yyaxis right +plot(t(1:10:end),vy(1:10:end),'s',t, t) +ylabel('v_{y}') +xlabel('time') +``` + + +![png](lecture_4_files/lecture_4_22_0.png) + + +Now, create a new function that calls 'my_function' called, `my_caller.m` + + +```matlab +help my_caller +``` + + Help documentation of "my_caller" + This function computes the acceleration in the x- and y-directions given + three vectors of position in x- and y-directions as a function of time + x = x-position + y = y-position + t = time + output + ax = velocity in x-direction + ay = velocity in y-direction + + + +```matlab +[ax,ay]=my_caller(x,y,t); +``` + + +```matlab +yyaxis left +plot(t(1:10:end),ax(1:10:end),'o',t,6*t) +ylabel('a_{x}') +yyaxis right +plot(t(1:10:end),ay(1:10:end),'s',t, 1*t./t) +ylabel('a_{x}') +xlabel('time') +axis([0,10,0,3]) +``` + + +![png](lecture_4_files/lecture_4_26_0.png) + + + +```matlab +diff_match_dims(x,t) +``` + + Undefined function 'diff_match_dims' for input arguments of type 'double'. +  + + +```matlab + +``` diff --git a/04_intro to m-files/lecture_4.pdf b/04_intro to m-files/lecture_4.pdf new file mode 100644 index 0000000000000000000000000000000000000000..db182024f65059b9b875cfb18267872e05710ced GIT binary patch literal 152101 zcmc$_bySsKv@X06l#mWVKtQ^?8w57pf+*ccDcztTt+aG^NlBM5{TK9LNpCj|z^H;NC*N{{$pCE~b zUJMwKd?DTFAoj}VVQLg%ZXD6;H)30scZ;e}=i 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