{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Graphing and Plotting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*NOTE:* The Jupyter notebook requires some more work to display MATLAB plots:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import pylab as py\n", "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we are ready to do some plotting with MATLAB - just note that functions are appended with np & py and comments are now # instead of %." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define some vectors for x and y\n", "x = (1,2,3,4,5,6,7,8,9);\n", "y = (-1,3,-2,7,8,9,3,6,8);\n", "\n", "# plot it! Remember that normally in MATLAB it would just be plot(x,y)\n", "py.plot(x,y)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# we can also use linspace to auto-generate a range of numbers\n", "x = np.linspace(0,20,1000)\n", "y = np.sin(x)\n", "py.plot(x,y)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-1.2, 1.2)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# we can use xlim() and ylim() to define the limits of the plot\n", "py.plot(x, y)\n", "py.xlim(5, 15)\n", "py.ylim(-1.2, 1.2)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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GbFPVTSHVn1g6d3adbVaSHW7aBM2bQ6dOvi0Jl6zF0LMWqoLshRSTMAArKBwi\n8irwMtAa+GxOLLar6rKwKlfVA8AtwARgPvCIqi4UkZtE5Cu5a54DVorIMuDXwN+FVX+SEcnWqp0k\n3OxRkKVOadcu2Lgx/ckN65KlNgK/53AENBSq+gAXRmoHBBsAQ0+nrqovAAPqPPfrOo9vCbveNBCM\nZs86y7cllZNV4ciSuC9dmq19NgEDB8JTT/m2Ihz27XPJDX0fVlfQ48hNig/DeQJ35kb8HURkRFzG\nVTtZGillVTisjZJPltpoxQqXg8tXcsOABuc4VPV9Vf2tqp4LnA38G/B/IpLhAxmTQ5b2cmS5U8pS\nG/kOgURBz57wwQcu2WHaSUobFbOPA4DcbvEHVfVU4JzoTDICsjRSyqpw9Onj5gV27fJtSeX43o0c\nFUGywyVLfFtSOUlpo6KFI8cEAFVdEYEtRh2ykuxw715Ys8bfoTNR0qyZE49loS0Z8UdWxR2y4xkm\npY1KFY4M7ChID1lJdrh8ufs/WrTwbUk0ZKFTyuI+m3yy4r0nPlQlIs+JyDF1ns7o8ULJJQs3fJY7\nJMjGyqqNG+Gww6BjR9+WREMW2gjSEaq6D5ggIv8qIs0BVPXn8ZhlBGThhk/KKCkqsiDuSemQoiIL\nXuG777rluF0TkOK1oeW4jwMjgLbA2yLyLRG5NfiJzcIqJws3fDV0SmkXjqx7hUGyw5oa35aUTxKS\nGwY0NsexF/gIaInbBJj/Y8SAdUrJJz+vWFrJulfYurULw61e7duS8knSAKzgHlERuRi4C5craoSq\n7ozNKuNjgr0caU52mHXh6NjRzQ9s3Ajdu/u2pjwWLYJzz/VtRbQE36W0plRJ0veoIY/jX4GrVfU2\nEw1/pD3ZYRIOnYmDtHuGSeqUoiILbZQUr7ChOY6zVXV+nMYYhyKS7hs+6JDS6i0VS5rnonbvdkfG\nZiXteCHS/D2CZIWqSt3HYXggzalHqmEkC+le/RYkN2ze3Lcl0ZLm79G+fbBqlf/khgEmHCkgzSOl\nahEOa6Pkk+Y2WrnSJTc87DDfljhMOFJAmkez1ikln2ppo6OPhvffhw8/9G1J6SQpTAUmHKkgzfHz\naumU+vSBdevcfEHaWLQIjj/etxXRk+Zkh0maGAcTjlSQ1mSH+/c7Fzspcdkoad48vckOk3CiXFyk\ndRCWtDYy4UgBaU12uHKl29dw+OG+LYmHNIarVJMXBomSNLYRmHAYZZLGG75awlQBaRzNrl8PrVpB\nhw6+LYkeE9ZIAAAV6klEQVSHNM4XqsLChSYcRhmYcCSfNHZKSRvJRk0axT3Y/Nu5s1878jHhSAlp\nXINejZ2SCUey6d/f7VtJU7LDoI2StInWhCMlpLFTqjaPI2ijNCU7rDbhaNPGheXWrPFtSfEksY1M\nOFJCfrLDtFBtwtGpkztKdtMm35YUTxI7pahJm/eexDYy4UgJaUt2uG0b7NwJRx3l25J4Sds8RxI7\npahJm/eexDYy4UgJaUt2uHixiycnKS4bB2lqox073KlyvXr5tiRe0tRGkMzl0iYcKSJNLna1hakC\n0tQpLVnixL1JlfUCafoe7d7tMhL07evbkoOpslsm3aSpU6pW4UhTp5TEEEgcpOl7lNTMxSYcKSJN\nN3y1Ckea2qhahaNXL3jvvXQkO0xqG5lwpIg0jWYXLqyOxHl16dsX1q6FPXt8W9I4Se2UoqZJE+jX\nLx3JDpOW3DDAhCNFpCXZ4b59sGKFi59XG82bQ+/e6Uh2WK3CAenxDJPaRiYcKaJlS+jZ03XKSWb5\ncnfoTLUkN6xLGpbkHjjgxK0axR1MOCrFhCNlpCFcVa1hqoA0dErvvANdusARR/i2xA9paCPV5M4V\nmnCkjDTc8AsWwAkn+LbCH2loo6SOZOMiDQOwdeugdWto3963JYdiwpEy0hAGqXaPIw2dUrULRxqS\nHSa5jUw4UkYa0kKbx5H8ZIdJ7pTioG1baNfOrYBLKkluIxOOlBEIR1I7pZqa5C4hjIsjj3RLPrds\n8W1JYZLcKcVF0j3DJKYaCTDhSBlduiQ72eE770DHjm5EV80kuVNSdV5htQtH0uei5s9PruduwpEy\nkp7ssNrnNwKS3EabNzvx6NrVtyV+SXIbgRP3QYN8W1E/JhwpJMk3fLXPbwQkuY3mz3cdUrVlLq5L\nkr3CrVtd9oGkHktgwpFCknzDL1hgHgckWziSPJKNkyS3UdLF3YQjhST5hl+40DwOSLa4Jzl2Hie9\nermR/Y4dvi05lKS3kQlHCknqXo5g0tU8DpdXbO1ad55C0ghGs9VO06Yu2WESv0tJ9wpNOFLIsce6\n1UtJS3a4YYPLp3Xkkb4t8U/z5q6dktYpqZpw5DNokOukk0bS28iEI4W0bOkysC5d6tuSgzFv42AG\nD4Z583xbcTCbNrm4eZcuvi1JBklsI7BQlRERgwfD3Lm+rTgYm984mCR2SsGqt6ROusZNEttoyxYX\nTUjqiiow4UgtQ4Yk74Y3j+NgktgpJT0EEjdJbKNgfiPJ4m7CkVKSesObcNSSxDYy4TiYPn3cyqrt\n231bUksa2sibcIhIBxGZICKLReRFEWlX4LpVIjJbRGaKyLS47UwqSQtVqTp7hgzxbUly6NPH7dJO\n0tnWaeiU4qRJExe6mz/ftyW1JH1+A/x6HLcBL6vqAGAi8J0C19UAY1R1uKqOjM26hHPccW4V00cf\n+bbEsX69W95Y7Wks8mna1HlgSVm1E6yoSnqnFDdJ8wyTvhQX/ArH5cD9ub/vB/6mwHWChdQOoVkz\ntxEwKZ1S4G0kOS7rgyR1Sps2uRG2rag6mKTNF6bBK/TZIXdR1U0AqroRKHQ7K/CSiLwlIl+OzboU\nkKRwlYWp6idJwpH0NBa+SFIbbdkC+/ZB9+6+LWmYZlEWLiIvAfnBC8EJwXfrubzQCRNnquoGEemM\nE5CFqvpaoTpvv/32j/8eM2YMY8aMKdXs1JCkkdLcuTBqlG8rksfgwfDii76tcKRhJOuDJAlHEEqM\nUtwnT57M5MmTKyojUuFQ1QsKvSYim0Skq6puEpFuwOYCZWzI/d4iIn8CRgJFCUfWGTwYXn7ZtxWO\nuXPh5pt9W5E8ktQpzZ0Lw4f7tiJ5dO/uRvmbN/sP482dCyeeGG0ddQfUd9xxR8ll+AxVjQduyP39\nBWBc3QtE5AgRaZ37uxVwIZCQr6F/khKq2r/fJfSz0eyh9OgBu3bBu+/6tgTmzIGhQ31bkTxE3Hcp\nCSurZs+OXjjCwKdw/AdwgYgsBs4D7gQQke4i8kzumq7AayIyE3gD+LOqTvBibQI5+mjYudP/aYBL\nl7pdrq1b+7UjiYg4QfXdKR044Gyweaj6SYpnOHt2OsQ90lBVQ6jqe8D59Ty/Abgs9/dKYFjMpqWG\n/JHS6NH+7LCJ8YYJOiWfc0DLlrkwTLUf6VuIwYNdp+2TAwfcKsk0fJdsmWvKGTLEf7gqjrhsmklC\nSDEtI1lfJMHjWLoUunWDNm382lEMJhwpJwk3vHkcDTN0qP/RbFpi574IxL2mxp8NaZqDMuFIOUOG\nuBvOJyYcDTN0qPuMDhzwZ0OaOiUfdOwIHTrAihX+bEiTuJtwpJyhQ12n4KtT2rHDpT457jg/9aeB\ndu2gc2c3z+ALC1U1zvDhMHOmv/rT1EYmHCmnfXs36enrUKc5c9yGpWbellmkg+HDYdYsP3W/9x68\n/75LumgUZtgwv8KRJq/QhCMD+BwpzZwJI0b4qTtN+OyU5sxxocQm9m1vEN/ivm0bHHOMn/pLxW6l\nDOBTOGbMsN3IxeCzjdI0kvWJzzYK5gnTIu4pMdNoiBEj/HocJhyNE3gcWigjW4SkKXbuk6OPhj17\nYOPG+OtOWxuZcGSAYKQUd6e0d69LNZKWlSA+6dHDtc+GDfHXnabVOj4R8ReuSlsbmXBkgO7d3eT0\n2rXx1rtggZtwPeKIeOtNIyLO64i7U9q717VTmjoln/hoI4Dp0+Gkk+Kvt1xMODLC8OFuviFObH6j\nNHzE0OfNg759LY9Ysfhoo127YMmSdO2FMuHICD5ueJvfKA0fo9m0jWR942P125w5MHAgHHZYvPVW\ngglHRvAlHLYUt3h8tNHbb8PJJ8dbZ5oZOBDWrYMPP4yvzjS2kQlHRoi7UzpwwE3oDbPcxUXTv787\n93vbtvjqTGOn5JNmzVwa/Dhzi6XRKzThyAh9+8IHH8R3NseSJS6NRocO8dSXBZo2dR7aW2/FU9+e\nPbBwYbqWeSaBkSNh2rT46kujuJtwZIQmTdzNF9cN/+abcOqp8dSVJeLslObOdTnEbNVbacTZRjt3\nuhxmgwfHU19YmHBkiFNPdR16HJhwlEecnVIaR7JJIM7v0ezZLtdby5bx1BcWJhwZ4rTT4I034qnL\nhKM8Ro50n10cmzVNOMqjXz+XFHLz5ujrevvt9M1vgAlHpjj1VDeajfowmp07YfFiW4pbDr16ud9r\n1kRfV1o7Jd80aQKnnBKPZ5hWcTfhyBBdu7qzH6JOsT5jhnOv07TuPCmIxBOu2rHD3Qe26q08gkFY\n1EydCqefHn09YWPCkTHiiM+++aYLixnlEYSromTaNCcaaYudJ4U42mjLFhcOO+GEaOuJAhOOjBHH\nPIfNb1RGHKPZ11+HM86Ito4sM3KkWzYd5VzU1KnuXkhLKvV8Umiy0RBxeRwmHOVz8sku3Ld/f3R1\nmHBURrdu0KZNtGHfqVPT20YmHBlj+HC36WvnzmjK37DBxc/tjPHy6dABeveOLm9VTY3zOtMYO08S\nZ5wBf/1rdOW//np628iEI2McfrhLoR1VKOTVV+Gss9wkr1E+Z5/tPssoWLzYnUXfrVs05VcLo0bB\nlCnRlL1vn0s1klbP3YQjg4w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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# we can label axis' and title the plot\n", "py.xlabel('X-Axis')\n", "py.ylabel('Y-Axis')\n", "py.title('My Matlab Plot')\n", "py.plot(x, y)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ZLcY1jXFN3HcIVxGeVgosVk1L2mGocT046BT5x2z1HPWCb0yVmJW/xbAHkXXp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\nuHNr3ToZ7xXRWfJftw44eZJPeOXjOaR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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# LaTeX is also supported\n", "y = np.sin(2*np.pi*x)\n", "py.plot(x, y)\n", "py.title(r'$\\sin(2 \\pi x)$') # the `r` before the string indicates a \"raw string\"" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Yyl/jZrUY1zTGNXHfIVxFeFopsFg1LWmHocb1YKBb5B+z1XPUC74xVWJW/hbD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\n3cVFeZ/+qCj/mMTt/AjVItm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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# the color of the plot can be changed\n", "y = np.sin(2*np.pi*x)\n", "py.plot(x, y, 'r')\n", "py.title(r'$\\sin(2 \\pi x)$')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Color and Line-Style Options for Plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "'r' = red 'g' = green 'b' = blue 'c' = cyan 'm' = magenta 'y' = yellow 'k' = black 'w' = white" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "'-' = solid\n", "'--' = dashed\n", "':' = dotted\n", "'-.' = dot-dashed\n", "'.' = points\n", "'o' = filled circles\n", "'^' = filled triangles" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(-1.5, 2.0)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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RRYqw98LvV/uuWME9lUZXJcB6Ys8eN5d6hIUBFSpwXLNm+vYNgFH0wYPcERqY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\nB21ozNAN7jfXKAui/AFjVmW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# multiple plots on the same chart with a legend\n", "x = np.linspace(0, 20, 1000)\n", "y1 = np.sin(x)\n", "y2 = np.cos(x)\n", "\n", "py.plot(x, y1, '-b', label='sine')\n", "py.plot(x, y2, '-r', label='cosine')\n", "py.legend(loc='upper right')\n", "py.ylim(-1.5, 2.0)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# more customization\n", "x1 = np.linspace(0, 10, 20)\n", "y1 = np.sin(x1)\n", "\n", "x2 = np.linspace(0, 10, 1000)\n", "y2 = np.sin(x2)\n", "\n", "py.ylim(-1.5, 2.0)\n", "py.plot(x1, y1, 'bo', label='sampled')\n", "py.plot(x2, y2, ':k', label='continuous')\n", "py.legend()" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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wfr1fn+rEQw9NMRPbZzExgOI5e/faB0BuvNSg/tKX2o8vJoB237smBvDTnwIve9mgV1tl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\nSwCpCqg8qjIApUmrPZS4EpAJIRNALCZwfsGXTgI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# multiple plots are achieved with the subplot() command\n", "x = np.linspace(-5,5);\n", "y1 = np.sin(x);\n", "py.subplot(1,4,1)\n", "py.plot(x,y1)\n", "py.title('First subplot')\n", "\n", "y2 = np.sin(2*x);\n", "py.subplot(1,4,2)\n", "py.plot(x,y2)\n", "py.title('Second subplot')\n", "\n", "y3 = np.sin(4*x);\n", "py.subplot(1,4,3)\n", "py.plot(x,y3)\n", "py.title('Third subplot')\n", "\n", "y4 = np.sin(6*x);\n", "py.subplot(1,4,4)\n", "py.plot(x,y4)\n", "py.title('Fourth subplot')\n", "\n", "# by changing to subplot(2,2,n) we would get a 2x2 grid of plots" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Useful Plotting Commands" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "| Command | Result |\n", "|------|------|\n", "|plot(x,y)|creates an Cartesian plot of the vectors x & y|\n", "|plot(y)|creates a plot of y vs. the numerical values of the elements in the y-vector|\n", "|semilogx(x,y)|plots log(x) vs y|\n", "|semilogy(x,y)|plots x vs log(y)|\n", "|loglog(x,y)|plots log(x) vs log(y)|\n", "|grid|creates a grid on the graphics plot|\n", "|title('text')|places a title at top of graphics plot|\n", "|xlabel('text')|writes 'text' beneath the x-axis of a plot|\n", "|ylabel('text')|writes 'text' beside the y-axis of a plot|\n", "|text(x,y,'text')|writes 'text' at the location (x,y)|\n", "|text(x,y,'text','sc')|writes 'text' at point x,y assuming lower left corner is (0,0) and upper right corner is (1,1)|\n", "|gtext('text')|writes text according to placement of mouse|\n", "|hold on|maintains the current plot in the graphics window while executing subsequent plotting commands|\n", "|hold off|turns OFF the 'hold on' option|\n", "|polar(theta,r)|creates a polar plot of the vectors r & theta where theta is in radians|\n", "|bar(x)|creates a bar graph of the vector x (Note also the command stairs(y))|\n", "|bar(x,y)|creates a bar-graph of the elements of the vector y, locating the bars according to the vector elements of 'x' (Note also the command stairs(x,y))|\n", "|hist(x)|creates a histogram - this differs from the bargraph in that frequency is plotted on the vertical axis|\n", "|mesh(z)|creates a surface in xyz space where z is a matrix of the values of the function z(x,y). z can be interpreted to be the height of the surface above some xy reference plane|\n", "|surf(z)|similar to mesh(z), only surface elements depict the surface rather than a mesh grid|\n", "|contour(z)|draws a contour map in xy space of the function or surface z|\n", "|meshc(z)|draws the surface z with a contour plot beneath it|\n", "|meshgrid [X,Y]=meshgrid(x,y)|transforms the domain specified by vectors x and y into arrays X and Y that can be used in evaluating functions for 3D mesh/surf plots|\n", "|print|sends the contents of graphics window to printer|\n", "|print filename -dps| writes the contents of current graphics to 'filename' in postscript format|" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11" } }, "nbformat": 4, "nbformat_minor": 0 }