{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# matplotlib - 2D and 3D plotting in Python" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "J.R. Johansson (jrjohansson at gmail.com)\n", "\n", "The latest version of this [IPython notebook](http://ipython.org/notebook.html) lecture is available at [http://github.com/jrjohansson/scientific-python-lectures](http://github.com/jrjohansson/scientific-python-lectures).\n", "\n", "The other notebooks in this lecture series are indexed at [http://jrjohansson.github.io](http://jrjohansson.github.io)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "# This line configures matplotlib to show figures embedded in the notebook, \n", "# instead of opening a new window for each figure. More about that later. \n", "# If you are using an old version of IPython, try using '%pylab inline' instead.\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Introduction" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib is an excellent 2D and 3D graphics library for generating scientific figures. Some of the many advantages of this library include:\n", "\n", "* Easy to get started\n", "* Support for $\\LaTeX$ formatted labels and texts\n", "* Great control of every element in a figure, including figure size and DPI. \n", "* High-quality output in many formats, including PNG, PDF, SVG, EPS, and PGF.\n", "* GUI for interactively exploring figures *and* support for headless generation of figure files (useful for batch jobs).\n", "\n", "One of the key features of matplotlib that I would like to emphasize, and that I think makes matplotlib highly suitable for generating figures for scientific publications is that all aspects of the figure can be controlled *programmatically*. This is important for reproducibility and convenient when one needs to regenerate the figure with updated data or change its appearance. \n", "\n", "More information at the Matplotlib web page: http://matplotlib.org/" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get started using Matplotlib in a Python program, either include the symbols from the `pylab` module (the easy way):" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from pylab import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "or import the `matplotlib.pyplot` module under the name `plt` (the tidy way):" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MATLAB-like API" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The easiest way to get started with plotting using matplotlib is often to use the MATLAB-like API provided by matplotlib. \n", "\n", "It is designed to be compatible with MATLAB's plotting functions, so it is easy to get started with if you are familiar with MATLAB.\n", "\n", "To use this API from matplotlib, we need to include the symbols in the `pylab` module: " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "from pylab import *" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A simple figure with MATLAB-like plotting API:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "x = np.linspace(0, 5, 10)\n", "y = x ** 2" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "figure()\n", "plot(x, y, 'b')\n", "xlabel('x')\n", "ylabel('y')\n", "title('$y=x^2$')\n", "show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Most of the plotting related functions in MATLAB are covered by the `pylab` module. For example, subplot and color/symbol selection:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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XMqDZAHYf2W07WlDRPnRVOu+8A5UqQY8etpMoSw7kHKD9+PbkFeSxst9Krqp+FQAp7VMsJws+WtBVye3ZAx99BP36OUVdBZ3c/Fzu/+h+tuzbwmc9PjtVzJUdWtBVyb3/Ppw4AQMH2k6iLDDG8NjMx/h86+eM7TiWNvFtbEcKelrQVck9+SQ0aQJXX207ibLgr0v+yqhVoxh04yB6Nu5pO45CT4qq0ggLg1tusZ1CWTBpwySem/ccXa/pyms3v2Y7jiqkBV2VzEMPwX/+YzuFsmD5T8vpPqU7v7/094y9dyzlRMuIW+i/hLpwGzc6/ef799tOosrY9gPbuWfCPcRFxTGt2zRdOdFlii3oIjJGRPaIyLrTnhssIj+JyOrCn3b+jalcJSUFypeHPn1sJ/ELEYkQkeUi8q2IrBeRV21ncoODOQdpP749OXk5zEycSUzFGNuR1BnOp4U+Fijq0u3/MMY0LvyZ5dtYyrUOHYLUVOjSBWI8+4U+DtxijGkENAbuFJEbLGeyKjc/ly4Tu/Ddz98xuetk6sfUtx1JFaHYgm6MWQjsK4MsKhCMGgVHjnj6IhbGcaTwYVjhj7EYySpjDE/MfoLPtnzGux3e5ZY6eiLcrUrTh/64iKwp7JKperY3iUg/EUkTkbSsrKxSbE65wg03wHPPwfXX207iVyISIiKrgT3AXGPMsiLeExTH9ltfv8W7K97l+ZbP06tJL9tx1DmUtKCPAOrh/DqaAfz9bG80xow0xiQYYxJivPsrevBo0QKGDbOdwu+MMfnGmMbApUBzEbm2iPd4/tieumkqf5r7Jx5o8ABDbx1qO44qRokKujEms/CALwDeA5r7NpZynRMnnKsR/fij7SRlyhhzAJhP0eeRPC1tVxqJkxJpXrM5qfem6vDEAFCifyERiTvtYSdg3dneqzxi3Dh44w1Yu9Z2Er8TkRgRqVJ4PxJoC2yym6ps7Ti4g7sn3E2NqBpM6zaNyLBI25HUeSh26r+ITADaANVF5EfgFaCNiDTGOVG0DdDrjnlZXh785S/QtCncGRQN1TggVURCcBo9HxljZljOVGYOHT9Eh/EdOJZ7jM8f+pwaUTVsR1LnqdiCbox5sIinR/shi3Krjz6CzZth8mQQsZ3G74wxa4AmtnPYkFeQR9eJXdmQtYHZSbNpENPAdiR1AXRxLnVuBQUwdChccw107Gg7jfKTjMMZdJvYjbpV6zJn8xxGdhhJ23p60ZJAowVdnduRI5CQAO3aQTk9KeZVQxYOYdGORSzcsZA/tfgTfZv1tR1JlYAWdHVu0dHOzFDlSZFDI8nJy/nVc39d8leGLx9O9qBsS6lUSWmTS53dN9/AypW2Uyg/Sn8ynU5Xdzr1ODI0kqSGSWxN3moxlSopbaGrohnjXMAiIwO2bIGQENuJlB/ERsWStisNgPCQcI7nHyc6PJrYqFjLyVRJaAtdFW3+fFi61Jnmr8Xcs0akjWDnoZ3cWPtGlvVZxoBmA9h9ZLftWKqEtIWuivb66xAXB488YjuJ8pNNezfxx8/+yJ2X38msxFmICCntU2zHUqWgBV391ldfOS30t96CCL2AgRedyD9B98ndqRBWgTH3jEGCYH5BMNCCrn4rPR3q1YN+/WwnUX7y2oLXWJGxgkldJhFXKa74P6ACgvahq9/q0QO++w4qVrSdRPnBkp1L+Mviv/Bw44e5r/59tuMoH9KCrn7tm2+cES56ItSTDh8/TI8pPbis8mW8fefbtuMoH9OCrn6xbh00bw7vvGM7ifKTp+Y8xbYD23i/0/tEh0fbjqN8TAu6+sUbb0BUFCQl2U6i/GDqpqmMWT2G51s+T8vaLW3HUX6gBV05vv8e/vc/GDgQqlWznUb5WMbhDPp80oemcU15pc0rtuMoP9GCrhzDhkF4ODz9tO0kyseMMfT+pDdHc48yrtM4yoeUtx1J+YkOW1Rw/DgsWOAMU7z4YttplI+NSBvB7M2zGX7XcOrH1LcdR/mRFnTltMw3boScnOLfqwLKd3u/44+f/ZE76t3BwOsG2o6j/EwLerA7eNCZDRoeDuX1V3Evyc3PpfuUwtmgHXU2aDDQPvRgN3gwXH21ts496LUFr5G2K42Rd4/kkkqX2I6jyoAW9GC2Zw+8+y60bq1rtnjMkp1LeGPxGzobNMhoQQ9m//iH0zJ/4QXbSZQPnZwNWrtybZ0NGmS0Dz1Y7dvnzAjt0gWuusp2GuVDJ2eDLnh4gc4GDTJa0IPVhx86F4B+8UXbSZSPZBzO4Lb3b2ND1gZeaPUCrWq3sh1JlTHtcglWjz7qLMT1u9/ZTqJ85IXPX2BD1gaqV6jO4DaDbcdRFmgLPRgdP+4MU0xIsJ1E+UDk0Ehy8n4ZpbT32F7CXw8nIjSC7EHZFpOpsqYt9GCTlQV16zrrtihPSH8ynTbxbU49rhBagaSGSWxN3movlLJCC3qwefllyMzUrhYPubjixazJXANARGgEOfk5RIdHExsVazmZKmta0IPJmjXw3nvOior1dU0Prxi3Zhz7svfRtm5blvZeyoBmA9h9ZLftWMoC7UMPFsbAH/4AVarAK7p8qlfk5OXw8vyXSbgkgTnd51BOypHSPsV2LGWJFvRgsXo1zJ8P//qXrnfuIcOXDWfnoZ2k3ptKOdFfuINdsUeAiIwRkT0isu6056qJyFwR+aHwtqp/Y6pSa9IEVq6EAQNsJ3E9EaklIvNFZIOIrBeRZNuZirIvex9vLH6Ddle04+Y6N9uOo1zgfP5LHwvcecZzzwOfG2OuAD4vfKzcat8+57ZxYwjVX8rOQx7wjDGmAXADMFBEGljO9BtvLHqDgzkHGXbrMNtRlEsUW9CNMQuBfWc83RFILbyfCtzr41zKVzIznWGKeuHn82aMyTDGrCy8fxjYCNS0m+rXth3YxvDlw3m48cM0rNHQdhzlEiXtdKthjMkovL8bqOGjPMrXXn4Zjh6Ftm1tJwlIIhIPNAGW2U3yay/Pf5lyUo7Xbn7NdhTlIqU+i2KMMYA52+si0k9E0kQkLSsrq7SbUxdi9WoYNQoef1wX4CoBEYkCJgFPGWMOFfG6lWN79e7VfLDmA5KvT+bS6EvLbLvK/Upa0DNFJA6g8HbP2d5ojBlpjEkwxiTExMSUcHPqgp0cplitGvz5z7bTBBwRCcMp5h8YYyYX9R5bx/Zz856jamRVnm+lp67Ur5W0oH8C9Cy83xOY5ps4ymd++AGWL4chQ6CqDkK6EOJcq200sNEY85btPKebu2Uun235jJdufIkqEVVsx1EuU+yQBxGZALQBqovIj8ArwDDgIxHpDWwHuvgzpCqBK6+E77+HGnp6owRaAj2AtSKyuvC5F40xsyxmosAU8Oy8Z4mvEs9j1z1mM4pyqWILujHmwbO8dKuPsyhf2bwZ6tWDmq4amBEwjDGLAdddUXn82vFO//l9HxAeGm47jnIhnVrmNZmZ0LSp9pt7TE5eDi998RJN45rS7dputuMol9JZJl4zaJBzndCHHrKdRPnQv7/5N9sPbmfUPaN0ir86Kz0yvGTVKhgzBp54Aq64wnYa5SP7s/fz+sLXuaPeHdxW9zbbcZSLaUH3CmPgqafgooucyUTKM4YtHsaBnAO8edubtqMol9OC7hU//QRbtjjDFKvocDav2HFwB28ve5sejXrQKLaR7TjK5bQP3SsuvRS++865VqjyhIzDGTR/rznGGIbcPMR2HBUAtIXuBcuWwYkTULGirqboIclzksk8mkn9mPrUrlzbdhwVAPTbH+gyMuDWW51RLf/+t+00ygcih0aSk5dz6vG3md8irwoRoRFkD8q2mEy5nbbQA92LLzqt86eftp1E+Uj6k+ncfeXdpx5XCK1AUsMktiZvtZhKBQIt6IFsxQoYOxaSk+Hyy22nUT4SVymOHw/9CEB4SDg5+TlEh0cTGxVrOZlyOy3ogcoYp5DHxMBLL9lOo3woryCPDVkbuKzyZSzrs4wBzQaw+8hu27FUANA+9ED188/OjNDXX4fKlW2nUT40+4fZHM8/zj/v/CeNYhuR0j7FdiQVILSgB6rq1Z3lcc1Zry2iAtToVaOpUbEG7a9obzuKCjDa5RKI3nvPaaGXKwchIbbTKB/KOJzBjO9n8HDjhwkLCbMdRwUYLeiBZupU6NcPRoywnUT5wf99+3/km3x6NellO4oKQFrQA8nu3dC3LzRpAs8+azuN8jFjDKNWjeKmy27iyouutB1HBSAt6IHCGOjdG44cgXHjoHx524mUjy3cvpDN+zbTu0lv21FUgNKTooFi1CiYNQvefhsaNLCdRvnB6FWjiQ6P5v4G99uOogKUttADxd13wyuvwOOP206i/OBAzgE+3vAxidcmUiGsgu04KkBpC93t8vJABGJjYfBg22mUn0xYO4GcvBz6NO1jO4oKYNpCd7shQ5zFt7J1USYvG7VqFI1qNKJpXFPbUVQA04LuZl9/7cwEjY+HyEjbaZSfrMpYxcqMlfRp2gcRsR1HBTAt6G515Aj06AG1a8O//mU7jfKj0atGEx4STlLDJNtRVIDTPnS3+sMfID0dFiyA6GjbaZSfZOdmM27NODo36EzVyKq246gApy10Nzp4EL74Ap57Dm680XYa5UeTN07m4PGD9GmiJ0NV6WkL3Y0qV4bVq/X6oEFg1KpR1K1al9bxrW1HUR6gLXQ3MQZGjnSWxa1USWeDetzmfZv5ctuX9G7Sm3KiX0VVenoUucm770L//vC//9lOovws43AGt6TegiD0bNTTdhzlEVrQ3eL77+GZZ+D2253RLcrTXl3wKjsP7aR25drUjK5pO47yCO1Dd4PcXOjeHSIi4L//ddY5V54UOTSSnLycU4+3H9yOvCpEhEaQPUgnj6nS0crhBkOHwjffOF0ul1xiO43yo/Qn00m8NpHQck5bKjI0kqSGSWxN3mo5mfKCUrXQRWQbcBjIB/KMMQm+CBV0unWDsDC4X1fZcwMRGQN0APYYY6715WfHVYojOjyavII8ykk5jucfJzo8mtioWF9uRgUpX3S53GyM2euDzwk+eXkQGgpXXw2DBtlOo34xFngH+D9/fPiPh38EoG/TvoRICBlHMvyxGRWEtA/dpkcfdRbdev99Z0VF5QrGmIUiEu+vz3+i+RPM+H4G9ze4n9vq3uavzaggVNo+dAN8JiIrRKRfUW8QkX4ikiYiaVlZWaXcnId8+KFz0YpatbSYB6iSHtuLdyymnJTj+prX+zGdCkalLeitjDFNgbuAgSJy05lvMMaMNMYkGGMSYmJiSrk5j5g/H3r2hJYt4dVXbadRJVTSY3vxjsU0jm1MpfBKfkynglGpCrox5qfC2z3AFKC5L0J52rffwr33wuWXwyef6GzQIJObn8uyn5bRqlYr21GUB5W4oItIRRGpdPI+cDuwzlfBPOvwYbjsMpgzB6pVs51GlbHVu1dzLPcYrWprQVe+V5oWeg1gsYh8CywHZhpj5vgmlgfl5jq3rVo5C2/VqmU3jzorEZkAfA1cJSI/ikhvX3324h2LAWhZu6WvPlKpU0o8ysUYkw408mEW7zp6FG67zRln/swzOhPU5YwxD/rrs7/a+RV1qtThkko6gUz5nlYWf8vNhS5dYPlyqFfPdhplkTGGxTsWa3eL8hsdh+5PxkDfvjBrljOt/957bSdSFm3Zv4XMo5m0rKXdLco/tIXuT4MGQWoqDB4M/Yocpq+CyMn+c22hK3/Rgu5PtWs7s0H//GfbSZQLfLXjK6pGVKV+TH3bUZRHaZeLPxw65FzYecAA20mUiyzeuZiWtVvq1YmU3+iR5Wvz50N8PCxaZDuJcpG9x/ayae8m7T9XfqUF3ZdOzgKNi4NrrrGdRrnIkp1LAO0/V/6lBd1Xtm2DO+90ulp0Fqg6w+IdiykfUp6ES/SSAcp/tA/dF/bvhzvugJwcWLxYZ4Gq31i8YzEJlyQQERphO4ryMG2h+0KlSs7FnadP164W9Rvp+9NZ+uNSGtdobDuK8jhtoZdGbq7TOr/4Yhg+3HYa5VJPf/o0BsPWA3rdUOVfWtBLKjsbevWCpUudk6HR0bYTKZeJHBpJTl7OqcezN89GXhUiQiPIHpRtMZnyKu1yKYnt2+HGG52rDj36qBZzVaT0J9NJvDaREAl03Z5nAAAHOUlEQVQBoEJoBZIaJrE1WVvqyj+0hX6hvvgCunaFEyecPvMOHWwnUi4VVymO6PBo8k0+gpCTn0N0eDSxUbG2oymP0oJ+IYyBv/zF6TOfMgWuvNJ2IuVymUcziYuKo2Z0TZpf0pyMIxm2IykP04J+Po4edYYkXnQRTJgA4eHOyBalijG562QapDQgvko8Ke1TbMdRHqd96MXZvBluuMFZ09wYqF5di7m6IHuP7aV6ZHXbMVQQ0IJ+LrNnw3XXwU8/wXPPgYjtRCrAFJgCfs7+meoVtKAr/9OCXpSCAhg6FNq3dy7ovGKFM3FIqQt0IOcABaZAC7oqE1rQi3L4MIwaBYmJsGQJ1KljO5EKUHuP7QXgogoXWU6igoGeFD3dli3OOiyVKzsThi6+WLtZVKmcLOjaQldlQVvoJ02dCk2a/HJ1oRo1tJirUtOCrsqSFvT8fHj5ZejUCa66CgYOtJ1IeYgWdFWWgrug79jhzPR8/XVnXZZFi3TpW+VTWtBVWQrOgp5TuGCSMc5JzxEjnJOgEbpWtfKtn4/9THhIOBXDKtqOooJA8JwUNcZpgb/xhtM3Pnu2MyQxIwMqVLCdTnnU3mN7qV6hOqLnY1QZ8H4L3RiYORNatYLWrWHVKmjTxnketJgrv9qbvVe7W1SZ8X4L/d13nSVua9eGd95x+sojI22nUkHiZAtdqbLgvYJ+4gS8/z5ccgncdRd06+YU8MRECAuznU4Fmb3H9tIktontGCpIeKfL5ehRePttqFcP+vRxVkUEqFIFevbUYq6s2HtsLxdF6ixRVTZKVdBF5E4R+U5ENovI874KdcFGjYL4eHjqKaegf/oppKZai6MCny+O7byCPPZn79cuF1VmStzlIiIhQArQFvgR+EZEPjHGbPBVuFOOHoV162DjRudn0ybndsYM5yITISFw/fXwwgvQsqXPN6+Ci6+O7U1ZmzAYyoeU90dMpX6jNH3ozYHNxph0ABH5EOgIlKygGwO7dv26YPfuDU2bwty5zkxOgPLl4YoroFEjZ1VEgIcfhkceKcWuKPUrPjm2hy4aCsCX275k0E2DfJ1Rqd8oTUGvCew87fGPwPUl+qSNG50W9uHDvzxXubIzzLBpU6fVPW0a1K/vrHwYekZsHeOrfKtUx3bk0Ehy8nJOPZ63dR7yqhARGkH2oGzfpVTqDH4/KSoi/UQkTUTSsrKyin5TrVrOicuUFOcizLt2wf79zlWCAGJi4J57nJb5mcVcKUvOdmynP5lO4rWJRIQ4M48jQiNIapjE1uSttqKqIFGa6vgTcPrCJ5cWPvcrxpiRwEiAhIQEU+QnRUXB8OGliKKUT5Xq2I6rFEd0eDQnCk4QERrBifwTRIdHExsV6+/cKsiVpoX+DXCFiNQRkfJAN+AT38RSyqpSH9uZRzMZ0GwAS3svZUCzAew+stsvQZU6XYlb6MaYPBF5HPgUCAHGGGPW+yyZUpb44tie3HXyqfsp7VN8G1CpsyhVh7QxZhYwy0dZlHINPbZVIPLOTFGllApyWtCVUsojtKArpZRHaEFXSimP0IKulFIeIcYUPdfHLxsTyQK2n+Xl6sDeMgtTtry8b+Ce/bvMGBNjY8PnOLbd8nfjL17ePzft23kd22Va0M9FRNKMMQm2c/iDl/cNvL9/peH1vxsv718g7pt2uSillEdoQVdKKY9wU0EfaTuAH3l538D7+1caXv+78fL+Bdy+uaYPXSmlVOm4qYWulFKqFKwXdNdcaNoPRKSWiMwXkQ0isl5Ekm1n8jURCRGRVSIyw3YWt/HasS0iY0Rkj4isO+25aiIyV0R+KLytajNjSZ3tuxpo+2e1oJ92Md67gAbAgyLSwGYmH8sDnjHGNABuAAZ6bP8AkoGNtkO4jUeP7bHAnWc89zzwuTHmCuDzwseB6Gzf1YDaP9st9FMX4zXGnABOXozXE4wxGcaYlYX3D+MUvpp2U/mOiFwKtAdG2c7iQp47to0xC4F9ZzzdEUgtvJ8K3FumoXzkHN/VgNo/2wW9qIvxeqbgnU5E4oEmwDK7SXzqn8CzQIHtIC4ULMd2DWNMRuH93UANm2F84YzvakDtn+2CHhREJAqYBDxljDlkO48viEgHYI8xZoXtLModjDNkLqCHzZ3ruxoI+2e7oJ/XxXgDmYiE4RwgHxhjJhf3/gDSErhHRLbhdCfcIiLj7EZyFc8f24UyRSQOoPB2j+U8JXaW72pA7Z/tgu7pC02LiACjgY3GmLds5/ElY8wLxphLjTHxOP9uXxhjuluO5SaePrZP8wnQs/B+T2CaxSwldo7vakDtn9WCbozJA05ejHcj8JHHLjTdEuiB03pdXfjTznYo5X9ePLZFZALwNXCViPwoIr2BYUBbEfkBuK3wcSA623c1oPZPZ4oqpZRH2O5yUUop5SNa0JVSyiO0oCullEdoQVdKKY/Qgq6UUh6hBV0ppTxCC7pSSnmEFnSllPKI/w+Ng1FX1bK09QAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "subplot(1,2,1)\n", "plot(x, y, 'r--')\n", "subplot(1,2,2)\n", "plot(y, x, 'g*-');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The good thing about the pylab MATLAB-style API is that it is easy to get started with if you are familiar with MATLAB, and it has a minumum of coding overhead for simple plots. \n", "\n", "However, I'd encourrage not using the MATLAB compatible API for anything but the simplest figures.\n", "\n", "Instead, I recommend learning and using matplotlib's object-oriented plotting API. It is remarkably powerful. For advanced figures with subplots, insets and other components it is very nice to work with. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## The matplotlib object-oriented API" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The main idea with object-oriented programming is to have objects that one can apply functions and actions on, and no object or program states should be global (such as the MATLAB-like API). The real advantage of this approach becomes apparent when more than one figure is created, or when a figure contains more than one subplot. \n", "\n", "To use the object-oriented API we start out very much like in the previous example, but instead of creating a new global figure instance we store a reference to the newly created figure instance in the `fig` variable, and from it we create a new axis instance `axes` using the `add_axes` method in the `Figure` class instance `fig`:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "axes = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # left, bottom, width, height (range 0 to 1)\n", "\n", "axes.plot(x, y, 'r')\n", "\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Although a little bit more code is involved, the advantage is that we now have full control of where the plot axes are placed, and we can easily add more than one axis to the figure:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "axes1 = fig.add_axes([0.1, 0.1, 0.8, 0.8]) # main axes\n", "axes2 = fig.add_axes([0.2, 0.5, 0.4, 0.3]) # inset axes\n", "\n", "# main figure\n", "axes1.plot(x, y, 'r')\n", "axes1.set_xlabel('x')\n", "axes1.set_ylabel('y')\n", "axes1.set_title('title')\n", "\n", "# insert\n", "axes2.plot(y, x, 'g')\n", "axes2.set_xlabel('y')\n", "axes2.set_ylabel('x')\n", "axes2.set_title('insert title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we don't care about being explicit about where our plot axes are placed in the figure canvas, then we can use one of the many axis layout managers in matplotlib. My favorite is `subplots`, which can be used like this:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots()\n", "\n", "axes.plot(x, y, 'r')\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title('title')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That was easy, but it isn't so pretty with overlapping figure axes and labels, right?\n", "\n", "We can deal with that by using the `fig.tight_layout` method, which automatically adjusts the positions of the axes on the figure canvas so that there is no overlapping content:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(nrows=1, ncols=2)\n", "\n", "for ax in axes:\n", " ax.plot(x, y, 'r')\n", " ax.set_xlabel('x')\n", " ax.set_ylabel('y')\n", " ax.set_title('title')\n", " \n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figure size, aspect ratio and DPI" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib allows the aspect ratio, DPI and figure size to be specified when the `Figure` object is created, using the `figsize` and `dpi` keyword arguments. `figsize` is a tuple of the width and height of the figure in inches, and `dpi` is the dots-per-inch (pixel per inch). To create an 800x400 pixel, 100 dots-per-inch figure, we can do: " ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,4), dpi=300)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The same arguments can also be passed to layout managers, such as the `subplots` function:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(figsize=(12,3))\n", "\n", "axes.plot(x, y, 'r')\n", "axes.set_xlabel('x')\n", "axes.set_ylabel('y')\n", "axes.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Saving figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To save a figure to a file we can use the `savefig` method in the `Figure` class:" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "fig.savefig(\"filename.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we can also optionally specify the DPI and choose between different output formats:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "fig.savefig(\"filename.pdf\", dpi=200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### What formats are available and which ones should be used for best quality?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib can generate high-quality output in a number formats, including PNG, JPG, EPS, SVG, PGF and PDF. For scientific papers, I recommend using PDF whenever possible. (LaTeX documents compiled with `pdflatex` can include PDFs using the `includegraphics` command). In some cases, PGF can also be good alternative." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Legends, labels and titles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have covered the basics of how to create a figure canvas and add axes instances to the canvas, let's look at how decorate a figure with titles, axis labels, and legends." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Figure titles**\n", "\n", "A title can be added to each axis instance in a figure. To set the title, use the `set_title` method in the axes instance:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "ax.set_title(\"title\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Axis labels**\n", "\n", "Similarly, with the methods `set_xlabel` and `set_ylabel`, we can set the labels of the X and Y axes:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Legends**\n", "\n", "Legends for curves in a figure can be added in two ways. One method is to use the `legend` method of the axis object and pass a list/tuple of legend texts for the previously defined curves:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "ax.legend([\"curve1\", \"curve2\", \"curve3\"]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The method described above follows the MATLAB API. It is somewhat prone to errors and unflexible if curves are added to or removed from the figure (resulting in a wrongly labelled curve).\n", "\n", "A better method is to use the `label=\"label text\"` keyword argument when plots or other objects are added to the figure, and then using the `legend` method without arguments to add the legend to the figure: " ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "ax.plot(x, x**2, label=\"curve1\")\n", "ax.plot(x, x**3, label=\"curve2\")\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The advantage with this method is that if curves are added or removed from the figure, the legend is automatically updated accordingly.\n", "\n", "The `legend` function takes an optional keyword argument `loc` that can be used to specify where in the figure the legend is to be drawn. The allowed values of `loc` are numerical codes for the various places the legend can be drawn. See http://matplotlib.org/users/legend_guide.html#legend-location for details. Some of the most common `loc` values are:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ax.legend(loc=0) # let matplotlib decide the optimal location\n", "ax.legend(loc=1) # upper right corner\n", "ax.legend(loc=2) # upper left corner\n", "ax.legend(loc=3) # lower left corner\n", "ax.legend(loc=4) # lower right corner\n", "# .. many more options are available" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The following figure shows how to use the figure title, axis labels and legends described above:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=\"$y = x^2$\")\n", "ax.plot(x, x**3, label=\"$y = x^3$\")\n", "ax.legend(loc=2); # upper left corner\n", "ax.set_xlabel('x')\n", "ax.set_ylabel('y')\n", "ax.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Formatting text: LaTeX, fontsize, font family" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The figure above is functional, but it does not (yet) satisfy the criteria for a figure used in a publication. First and foremost, we need to have LaTeX formatted text, and second, we need to be able to adjust the font size to appear right in a publication.\n", "\n", "Matplotlib has great support for LaTeX. All we need to do is to use dollar signs encapsulate LaTeX in any text (legend, title, label, etc.). For example, `\"$y=x^3$\"`.\n", "\n", "But here we can run into a slightly subtle problem with LaTeX code and Python text strings. In LaTeX, we frequently use the backslash in commands, for example `\\alpha` to produce the symbol $\\alpha$. But the backslash already has a meaning in Python strings (the escape code character). To avoid Python messing up our latex code, we need to use \"raw\" text strings. Raw text strings are prepended with an '`r`', like `r\"\\alpha\"` or `r'\\alpha'` instead of `\"\\alpha\"` or `'\\alpha'`:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$', fontsize=18)\n", "ax.set_ylabel(r'$y$', fontsize=18)\n", "ax.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also change the global font size and font family, which applies to all text elements in a figure (tick labels, axis labels and titles, legends, etc.):" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "# Update the matplotlib configuration parameters:\n", "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'serif'})" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A good choice of global fonts are the STIX fonts: " ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# Update the matplotlib configuration parameters:\n", "matplotlib.rcParams.update({'font.size': 18, 'font.family': 'STIXGeneral', 'mathtext.fontset': 'stix'})" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or, alternatively, we can request that matplotlib uses LaTeX to render the text elements in the figure:" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "matplotlib.rcParams.update({'font.size': 18, 'text.usetex': True})" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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MIBNASx/7q0NXWt/kvn51L4aE3hvaPnzPRX5VVVWYM2cO8vOP9s9WVFTA5XJ1mSEVTi6X\nC3PmzMHcuXOxZs2azm2pqalwOBydda1fvx6zZs1CamoqMjIysGzZMsTHx8PhcKC0tBSXXXaZJfUT\nBeqVT1/B1q+24i8//YvVpQCwZ5gkwQgGX04Ayf3Yb6lQ/0K3isvlwvjx4wEA5eXlSE7u+q2urKxE\nZmZmn+8zd+5cNDQ09OszVRUigiVLlmD69N4bnbNnz8aECRMwf/78zm3x8fHIzs7GkiVLsHz5clRV\nVSExMbFz/4wZM7h8CkWkfYf34aa/34THf/I4jht2nNXlALBnmITM4sWLO59nZWUhKyvLsloiTUtL\nS+cv6qqqKmRndx2iqq2tRU5OTp/vs3bt2kGvraysDNXV1Vi9enW3fWlpaVi/fj0Ao/XkWT6FKJLd\nu+FeXJpyKWakDe4fQzU1NaipqRnQuXYNkyQ/2xJgTAXuz36/vMOEAuPpJnK5XHA4HHjssce67Hc4\nHN3GIMKlpKQEmZmZSElJ6bYvOTkZzc3NqKur62xZEUWyui/r8PSHT2PbjYN/G17fP7Lvu+++fp9r\nuwF4ALUwgsFXEoAtfex3hLAuArBmzRokJibivPPO69xWWVkJEcGUKVN6OTN0HA5Ht5aSN1XF2rVr\nu3SBEUWiDncHFryyACUzSnDSiJOsLqcL27VMVNUlIvUiMkpVW712xavqBgDoZb+lg++xoLKyslto\nVFZWIi0trV8X++Xm5qKlpaVfn9WfMRPPtSLp6ek9vo/L5UJhYfju60AUKo++9yhGDBuBX076pdWl\ndGN1mCTDuILd1xIAi8yH50r5ygD2U4g4nc5uv7grKyt7bRl4Ky8vH9R64uPje93f1GT0fPrrAiOK\nJJ+7Psfv3/w93r7hbYhYN2u0J1ZdAZ9qXgFfAiBDRJaLSGcfhKquBrDTvK5kFoAZqnpjf/dT6GRm\nZqK5+ehkurKyMjgcjn4NvodKUVERKioqumxzuVwoLS3tEnx1dXVobW31PZ0oIvz6tV/j1+f/Gmee\neKbVpfjFm2N1P45rLvUhLy+vc6n2pKQkFBcXo6WlxdIVd5ctW4ampiakp6d3do95xkgWLVoEwBiM\nv+OOOwbl8/hzQuH0wicvoLiyGO8Xvo9jhh4Tts8NZG0uhkn34/hLIgCFhYVoaWnpvFAwVvDnhMKl\n9VArzvnvc/D0VU/j0nGXhvWzGSZ+MEyCN2fOHMTFxXUGh2f8xOFwxNyYBH9OKFxufu1mtB1uw+NX\nPh72zw4kTKwegKcIsnXrVixZsgSAESTZ2dlYvXp1zAUJUbhs/mIz1ny0Bh8t/MjqUvrElkn34/gX\nZw+qq6vhcDiwd+9euFwuFBUVWbYWl9X4c0Kh1u5ux9TSqbjtwttw7XnXWlIDu7n8YJjQYOLPCYXa\ng+88iNd2vIaKayssmwrMbi4iogi2y7kL9//v/dg4b6Mtrynxx47LqRARxSxVxU1/vwm3XngrJiRP\nsLqcfmPLhIjIRso+LkODswHP5T1ndSkBYZgQEdmE66ALt7x+C9bMXoPhQ4ZbXU5AOADf/TgOrFKf\n+HNCobDw1YVod7dj1Y9XWV0KAA7AExFFnI2fb8TznzyPjxd+bHUpA8Iw8ZGSkhIxsyfIOrxQkwbT\nkY4jWPDKAjyU+xASj0vs+wQbYjcXEZHFiiqK8OGeD/HqNa/a6o9ZdnMREUWIZ7c9i3Ufr8N7+e/Z\nKkgCxTAhIrLI1q+24tev/RqV11bixONPtLqcoPCiRSIiC+zdvxdXrbkKj17+KM4bc57V5QSNYUJE\nFGbt7nbMXTcXeefkIW9intXlDAqGCRFRmN1ZfieGDxmOP0z/g9WlDBqOmRARhdFf3v8LXv70ZWzO\n34whcUOsLmfQ2DpMRCQfgAJIBJAEoERVXT77mwAIgFRVXWZJoURE/VC7uxa3l9+Oml/UROz1JD2x\nbZiIyJ0AVqpqq9e2tQDmms/zAaiqPme+zhCRFapaaEnBRES9+Hrf15i5ZiZWXbEK55x8jtXlDDo7\nj5lM9Q4SU72IjDKfF6jqas8OVa0DkB226oiI+ulwx2HMXjcb10+6Hld99yqrywkJO4dJqohk+GyL\nV9VWEYkH4LsPAJwiMj0MtRER9dst/7gFiccm4t6se60uJWTsHCYLAGwRkTsAQERmAFhp7ksD4PRz\nTjOAzPCUR0TUt9ItpdjQuAFPz3wacWLnX7nBse2/zOy2Sgdwt4g0GZt0q7k7CUZw+HICSA5TiURE\nvXrn83dwT/U9eCHvBYw6ZlTfJ0QwOw/ApwKYBWAcgLsBVIhIoaqWDvQ9Fy9e3Pk8KysLWVlZwRVJ\nRNSD3W27MWfdHDxx5RM488QzrS6nX2pqalBTUzOgc227arDvzCxz/KQSwBwYU4HXqmqyzznlAMr9\nTRHmqsFEFC6H2g/h0icvxY/P+DHu+cE9VpczYIGsGmzLbi5zfKTce5vZ7TUHQA6AWhjXnvhKAuAI\neYFERD1QVSx8dSFOHXUq7r7kbqvLCRvbdnPBaH34agDQpKouEdkpIqN8pg/Hq2p1mOojIurmvzf/\nN97b/R42ztsY0UvKB8qWLRNVrYJ5caKP2QA8N0deAmCRZ4dXNxgRkSXeaHwDv3vzd3gh7wWcMPwE\nq8sJKzuPmYyCMfC+F4ALQDyAMlVt9DpmPoB6GF1evS6nwjETIgqlz1yf4YLVF+Cpnz6F3PRcq8sZ\nFIGMmdg2TAYbw4SIQuXAkQO4+ImLcfXEq3HH9++wupxBwzDxg2FCRKGgqrjuhevQ4e7AMzOfiapx\nEt4DnogoTB7e9DC27dmGt294O6qCJFAMEyKiAaqsr8TSd5Zi07xNOH7Y8VaXYymGCRHRANS31OM/\nnvsPrJm9BikJKVaXYzlbTg0mIrKzbw9/i58++1P89pLfImtcltXl2ELAA/DmKr71ACr93G/EtjgA\nT0SDQVWRV5aHEcNH4PGfPB7V4yShHoAXAEth3G+kHsbyJRUwwqVxAO9HRBQxlry9BI3ORrx5/ZtR\nHSSBGvDUYPMGVdkw1srKBpAKYwn4SgD/V1XfH6wiBwNbJkQUrNe2v4b5L8/Hu/PfxamjTrW6nJCz\n5DoTEcmEcUMrp/n1D6r64KC8+SBgmBBRMLY3bce0x6fh+bznMe30aVaXExYhXzVYRMb5blNVB4Ba\nVS1W1SQAE0Rk5kDen4jITloPteLKZ6/E7y/7fcwESaACDhMRWQGgXkSaRGS5zz3X0z1PzHuRTB2E\nGomILONWN657/jpccvolKJhSYHU5tjWQlkmFqsbBGCtxASgTkQ4R6QDQBABeAVM/OGUSEVnj92/8\nHnv378Wf/+3PVpdiawOZGjwDxgq9q722xauqy+t1M4A1ALZ4H2cljpkQUaBe/ORF/Oq1X2Fz/maM\nOWGM1eWEXcgH4M2ZXJN7uxGVb8BYjWFCRIH4+JuPcemTl+LVa17F+aecb3U5luCqwX4wTIiov5wH\nnTi/9HwsungRrs+43upyLMMw8YNhQkT90eHuwI//9mOMTxqPP13+J6vLsVTIpwYTEUWr/9zwn9h/\nZD8ezLXNZXIRgasGExGZ1n20Ds98+Aw252/GsCHDrC4nojBMiIgAfPD1B1j494V4/eev46QRJ1ld\nTsSxfZiIyJ0AWswHVHW91758GNe2CIzpysssKZKIIlrT/ib89Nmf4pEfPYLM72RaXU5EsvUAvIis\nBXCXZzVi88LIRFVtNYNEPdexiEgGgALzynt/78UBeCLqpt3djsufuRyTRk/CA7kPWF2OrUTFPeDN\nsHjPZ1n7dK97qBSo6hTPDlWtE5HscNZIRJGvuLIYAsH92fdbXUpEs22YAFgCoEt706uFEg8gw885\nThGZ3tvFlEREHs988Aye/+R5bM7fjKFxdv51aH+2nBpshkW8+XyWiMwQkTvM7QCQBmOpe1/N8Akg\nIiJ/HF86cMvrt+CFvBeQdFyS1eVEPLtGsScsEjwD7iJSC6AKwBQASTCCw5cTQHK4iiSiyLTn2z24\nas1VWP7vy3Hu6HOtLicq2DVMkgAkwGvVYVV1iYj3isQBW7x4cefzrKwsZGVlBVEiEUWiIx1HMGfd\nHPz83J9j9tmzrS7HVmpqalBTUzOgc205m0tEUgHsUNUhPtvLAZQDqAOwVlWT/e33N0WYs7mIqN3d\njhtevAFNB5rw0s9ewpC4IX2fFMMifjaXqjaI9Fi/E0AtjJaLryQAjlDVRUSR62D7QVy9/mrsP7If\nz819jkEyyGw5AG9y+Lk9cBqAzebS9vUiMspnfzxnchGRr7ZDbbjif67AsLhheOlnL2HE8BFWlxR1\n7BwmxQCKPC9EJBPATlV939y0BMAir/0ZACrDWiER2V7zgWZk/zUb4xLG4W+z/oZjhh5jdUlRyZZj\nJh4iMhNGa0QAJKnqIp/982EM0ieij+VUOGZCFHt2t+1G7l9zcfn4y7E0Zyl66T4nP3g/Ez8YJkSx\npb6lHjl/zcG8jHlYdPEiBskARPwAPBFRMLbt2YYfPf0j3H3J3Vg4daHV5cQEhgkRRZV3//UufvLs\nT/DHH/4R15x7jdXlxAyGCRFFjar6Kvxs/c/wxJVP4IozrrC6nJjCMCGiqPDCJy9gwcsLUDanDJeO\nu9TqcmIOw4SIIt5TW59CUWURXvuP1zB57GSry4lJDBMiimh/evdPWPbOMmz4xQZ896TvWl1OzGKY\nEFFEUlX87o3f4ekPn8ab17+JcQnjrC4ppjFMiCjiuNWN216/DRsaN+Ct69/CmBPGWF1SzGOYEFFE\naXe3Y/5L87G9eTve+OUbSDjW35qvFG4MEyKKGN4r/5b/vJwLNtqInRd6JCLqxJV/7Y1hQkS2x5V/\n7Y9hQkS2trttN37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Mx9hjx+PEIeOR6B6P4w+lA23fgcsZ12tQOJ3GyrGJiT0/kpO7B8Zg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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x**2, label=r\"$y = \\alpha^2$\")\n", "ax.plot(x, x**3, label=r\"$y = \\alpha^3$\")\n", "ax.legend(loc=2) # upper left corner\n", "ax.set_xlabel(r'$\\alpha$')\n", "ax.set_ylabel(r'$y$')\n", "ax.set_title('title');" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "# restore\n", "matplotlib.rcParams.update({'font.size': 12, 'font.family': 'sans', 'text.usetex': False})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Setting colors, linewidths, linetypes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Colors" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With matplotlib, we can define the colors of lines and other graphical elements in a number of ways. First of all, we can use the MATLAB-like syntax where `'b'` means blue, `'g'` means green, etc. The MATLAB API for selecting line styles are also supported: where, for example, 'b.-' means a blue line with dots:" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# MATLAB style line color and style \n", "ax.plot(x, x**2, 'b.-') # blue line with dots\n", "ax.plot(x, x**3, 'g--') # green dashed line" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also define colors by their names or RGB hex codes and optionally provide an alpha value using the `color` and `alpha` keyword arguments:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(x, x+1, color=\"red\", alpha=0.5) # half-transparant red\n", "ax.plot(x, x+2, color=\"#1155dd\") # RGB hex code for a bluish color\n", "ax.plot(x, x+3, color=\"#15cc55\") # RGB hex code for a greenish color" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Line and marker styles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To change the line width, we can use the `linewidth` or `lw` keyword argument. The line style can be selected using the `linestyle` or `ls` keyword arguments:" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(12,6))\n", "\n", "ax.plot(x, x+1, color=\"blue\", linewidth=0.25)\n", "ax.plot(x, x+2, color=\"blue\", linewidth=0.50)\n", "ax.plot(x, x+3, color=\"blue\", linewidth=1.00)\n", "ax.plot(x, x+4, color=\"blue\", linewidth=2.00)\n", "\n", "# possible linestype options ‘-‘, ‘--’, ‘-.’, ‘:’, ‘steps’\n", "ax.plot(x, x+5, color=\"red\", lw=2, linestyle='-')\n", "ax.plot(x, x+6, color=\"red\", lw=2, ls='-.')\n", "ax.plot(x, x+7, color=\"red\", lw=2, ls=':')\n", "\n", "# custom dash\n", "line, = ax.plot(x, x+8, color=\"black\", lw=1.50)\n", "line.set_dashes([5, 10, 15, 10]) # format: line length, space length, ...\n", "\n", "# possible marker symbols: marker = '+', 'o', '*', 's', ',', '.', '1', '2', '3', '4', ...\n", "ax.plot(x, x+ 9, color=\"green\", lw=2, ls='--', marker='+')\n", "ax.plot(x, x+10, color=\"green\", lw=2, ls='--', marker='o')\n", "ax.plot(x, x+11, color=\"green\", lw=2, ls='--', marker='s')\n", "ax.plot(x, x+12, color=\"green\", lw=2, ls='--', marker='1')\n", "\n", "# marker size and color\n", "ax.plot(x, x+13, color=\"purple\", lw=1, ls='-', marker='o', markersize=2)\n", "ax.plot(x, x+14, color=\"purple\", lw=1, ls='-', marker='o', markersize=4)\n", "ax.plot(x, x+15, color=\"purple\", lw=1, ls='-', marker='o', markersize=8, markerfacecolor=\"red\")\n", "ax.plot(x, x+16, color=\"purple\", lw=1, ls='-', marker='s', markersize=8, \n", " markerfacecolor=\"yellow\", markeredgewidth=2, markeredgecolor=\"blue\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Control over axis appearance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The appearance of the axes is an important aspect of a figure that we often need to modify to make a publication quality graphics. We need to be able to control where the ticks and labels are placed, modify the font size and possibly the labels used on the axes. In this section we will look at controling those properties in a matplotlib figure." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Plot range" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first thing we might want to configure is the ranges of the axes. We can do this using the `set_ylim` and `set_xlim` methods in the axis object, or `axis('tight')` for automatrically getting \"tightly fitted\" axes ranges:" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 3, figsize=(12, 4))\n", "\n", "axes[0].plot(x, x**2, x, x**3)\n", "axes[0].set_title(\"default axes ranges\")\n", "\n", "axes[1].plot(x, x**2, x, x**3)\n", "axes[1].axis('tight')\n", "axes[1].set_title(\"tight axes\")\n", "\n", "axes[2].plot(x, x**2, x, x**3)\n", "axes[2].set_ylim([0, 60])\n", "axes[2].set_xlim([2, 5])\n", "axes[2].set_title(\"custom axes range\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Logarithmic scale" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is also possible to set a logarithmic scale for one or both axes. This functionality is in fact only one application of a more general transformation system in Matplotlib. Each of the axes' scales are set seperately using `set_xscale` and `set_yscale` methods which accept one parameter (with the value \"log\" in this case):" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10,4))\n", " \n", "axes[0].plot(x, x**2, x, np.exp(x))\n", "axes[0].set_title(\"Normal scale\")\n", "\n", "axes[1].plot(x, x**2, x, np.exp(x))\n", "axes[1].set_yscale(\"log\")\n", "axes[1].set_title(\"Logarithmic scale (y)\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Placement of ticks and custom tick labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can explicitly determine where we want the axis ticks with `set_xticks` and `set_yticks`, which both take a list of values for where on the axis the ticks are to be placed. We can also use the `set_xticklabels` and `set_yticklabels` methods to provide a list of custom text labels for each tick location:" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[,\n", " ,\n", " ,\n", " ]" ] }, "execution_count": 37, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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Vg1pmZvX9ExKgRw//smRJcJ+t8CYiEqa2H9peOi265eCW0vaBXQYyqf8krjvj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\n/8213ynTdnZgve6Hu0sIagP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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(10, 4))\n", "\n", "ax.plot(x, x**2, x, x**3, lw=2)\n", "\n", "ax.set_xticks([1, 2, 3, 4, 5])\n", "ax.set_xticklabels([r'$\\alpha$', r'$\\beta$', r'$\\gamma$', r'$\\delta$', r'$\\epsilon$'], fontsize=18)\n", "\n", "yticks = [0, 50, 100, 150]\n", "ax.set_yticks(yticks)\n", "ax.set_yticklabels([\"$%.1f$\" % y for y in yticks], fontsize=18); # use LaTeX formatted labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are a number of more advanced methods for controlling major and minor tick placement in matplotlib figures, such as automatic placement according to different policies. See http://matplotlib.org/api/ticker_api.html for details." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Scientific notation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With large numbers on axes, it is often better use scientific notation:" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, np.exp(x))\n", "ax.set_title(\"scientific notation\")\n", "\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "from matplotlib import ticker\n", "formatter = ticker.ScalarFormatter(useMathText=True)\n", "formatter.set_scientific(True) \n", "formatter.set_powerlimits((-1,1)) \n", "ax.yaxis.set_major_formatter(formatter) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axis number and axis label spacing" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# distance between x and y axis and the numbers on the axes\n", "matplotlib.rcParams['xtick.major.pad'] = 5\n", "matplotlib.rcParams['ytick.major.pad'] = 5\n", "\n", "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, np.exp(x))\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "ax.set_title(\"label and axis spacing\")\n", "\n", "# padding between axis label and axis numbers\n", "ax.xaxis.labelpad = 5\n", "ax.yaxis.labelpad = 5\n", "\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\");" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [], "source": [ "# restore defaults\n", "matplotlib.rcParams['xtick.major.pad'] = 3\n", "matplotlib.rcParams['ytick.major.pad'] = 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Axis position adjustments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Unfortunately, when saving figures the labels are sometimes clipped, and it can be necessary to adjust the positions of axes a little bit. This can be done using `subplots_adjust`:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", " \n", "ax.plot(x, x**2, x, np.exp(x))\n", "ax.set_yticks([0, 50, 100, 150])\n", "\n", "ax.set_title(\"title\")\n", "ax.set_xlabel(\"x\")\n", "ax.set_ylabel(\"y\")\n", "\n", "fig.subplots_adjust(left=0.15, right=.9, bottom=0.1, top=0.9);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axis grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With the `grid` method in the axis object, we can turn on and off grid lines. We can also customize the appearance of the grid lines using the same keyword arguments as the `plot` function:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "image/png": 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czXNoULsB3931XY1qquxF1gq0IrvkYtU8pq2bxtAvhlLgLOCxSx9j1qBZlTZV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\nGz/mrd/eYkeq0YM3qN2Akd1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6lV+/mjUrW8Pq16/aOKbExASgb3X+s1mKXfIAe+XiCX+e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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(10,3))\n", "\n", "# default grid appearance\n", "axes[0].plot(x, x**2, x, x**3, lw=2)\n", "axes[0].grid(True)\n", "\n", "# custom grid appearance\n", "axes[1].plot(x, x**2, x, x**3, lw=2)\n", "axes[1].grid(color='b', alpha=0.5, linestyle='dashed', linewidth=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axis spines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also change the properties of axis spines:" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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1nuj19n2kAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(6,2))\n", "\n", "ax.spines['bottom'].set_color('blue')\n", "ax.spines['top'].set_color('blue')\n", "\n", "ax.spines['left'].set_color('red')\n", "ax.spines['left'].set_linewidth(2)\n", "\n", "# turn off axis spine to the right\n", "ax.spines['right'].set_color(\"none\")\n", "ax.yaxis.tick_left() # only ticks on the left side" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Twin axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sometimes it is useful to have dual x or y axes in a figure; for example, when plotting curves with different units together. Matplotlib supports this with the `twinx` and `twiny` functions:" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "image/png": 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dqjj/+5+Ny+XlwdNPwx//GHaLqlwkxuhElgJzgFNR3ZD0y1c2OIhQD9tp9pRt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\nC0HGZHFgOxCcey6MH287EIw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots()\n", "\n", "ax1.plot(x, x**2, lw=2, color=\"blue\")\n", "ax1.set_ylabel(r\"area $(m^2)$\", fontsize=18, color=\"blue\")\n", "for label in ax1.get_yticklabels():\n", " label.set_color(\"blue\")\n", " \n", "ax2 = ax1.twinx()\n", "ax2.plot(x, x**3, lw=2, color=\"red\")\n", "ax2.set_ylabel(r\"volume $(m^3)$\", fontsize=18, color=\"red\")\n", "for label in ax2.get_yticklabels():\n", " label.set_color(\"red\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Axes where x and y is zero" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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XXoGWLYNRhriFwlyaiUaHuSNDE42B6dMhOxs2blSQi4g0lSNh/uSTdi7y996z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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.spines['right'].set_color('none')\n", "ax.spines['top'].set_color('none')\n", "\n", "ax.xaxis.set_ticks_position('bottom')\n", "ax.spines['bottom'].set_position(('data',0)) # set position of x spine to x=0\n", "\n", "ax.yaxis.set_ticks_position('left')\n", "ax.spines['left'].set_position(('data',0)) # set position of y spine to y=0\n", "\n", "xx = np.linspace(-0.75, 1., 100)\n", "ax.plot(xx, xx**3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Other 2D plot styles" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In addition to the regular `plot` method, there are a number of other functions for generating different kind of plots. See the matplotlib plot gallery for a complete list of available plot types: http://matplotlib.org/gallery.html. Some of the more useful ones are show below:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "n = np.array([0,1,2,3,4,5])" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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Vuc2maaRzUZ1IuqQrWL7ggvTcV7qvK68sYe/exNoOHAg/+UlJp/ZHJNO98O4L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\nqrH2E6yHknaKeIQ/vP4HHtr4EIP7DM7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ETMmwjGqBwAHgCTNbW8193QFkLe/imdWDbMQK\nhZk6jePK1Rw1rh7Hqdt+RWLM0SwV4yBy/VSCzD5TkjeAW4HN7v5HtJiZzVharuraKuZZ4FHSDT5R\n7COt4LKO9AbvTVKhpdlATcxsuZnNmtk1ZnaVmT1GWm3g40jdRefQyFcRfSHQ60W9HODV4j4M9Njb\npFUUZqrcPgccanjMvowj54LyLnF5d2nkXHcf+wa8CFxatD1fvXYj6WuWG7r2nwN+Ic2H3Q9MjaC5\nAjhI+mrnB2BL12v/0QReqfTOAd9V53tlE52ouHI0m8RVp/2CY6ylWSrGJn5qu88Eaq6udC5U17iz\nbQ3UXAkcJt05fYa03NDmyDh7nMMLwIEWdFZW8f1WxfsZsLHlWBv7qnRfiPB6hJejvVrCh1EeIw0g\n91bHPEH6av3qYK+2mnOjvFhD83+Xdyc156rSnxBCCCGEEAOYiCkZQgghhBBCTCoaMAshhBBCCDEA\nDZiFEEIIIYQYgAbMQgghhBBCDEADZiGEEEIIIQagAbMQQgghhBAD0IBZCCGEEEKIAWjALIQQQggh\nxAD+AX5xHVO2qhHDAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 4, figsize=(12,3))\n", "\n", "axes[0].scatter(xx, xx + 0.25*np.random.randn(len(xx)))\n", "axes[0].set_title(\"scatter\")\n", "\n", "axes[1].step(n, n**2, lw=2)\n", "axes[1].set_title(\"step\")\n", "\n", "axes[2].bar(n, n**2, align=\"center\", width=0.5, alpha=0.5)\n", "axes[2].set_title(\"bar\")\n", "\n", "axes[3].fill_between(x, x**2, x**3, color=\"green\", alpha=0.5);\n", "axes[3].set_title(\"fill_between\");" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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eCekycLvdTnl5eaLTLV++POCy8/OJhg/3VAi1mujNN3mFcefo0aOUl5cXkBPZ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\nUqeUjEYjtWnTpgHAtSR33ZZbAL8CAoq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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# polar plot using add_axes and polar projection\n", "fig = plt.figure()\n", "ax = fig.add_axes([0.0, 0.0, .6, .6], polar=True)\n", "t = np.linspace(0, 2 * np.pi, 100)\n", "ax.plot(t, t, color='blue', lw=3);" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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R7z2+FFgs6SBJBwOLgZUAeZjI7cASSeMkLQBmA6vytleQZv+YJ2k8sBxY1TDG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\nmZmZWYccTJuZmZmZdej/A87LuhDi3OhLAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A histogram\n", "n = np.random.randn(100000)\n", "fig, axes = plt.subplots(1, 2, figsize=(12,4))\n", "\n", "axes[0].hist(n)\n", "axes[0].set_title(\"Default histogram\")\n", "axes[0].set_xlim((min(n), max(n)))\n", "\n", "axes[1].hist(n, cumulative=True, bins=50)\n", "axes[1].set_title(\"Cumulative detailed histogram\")\n", "axes[1].set_xlim((min(n), max(n)));" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Text annotation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Annotating text in matplotlib figures can be done using the `text` function. It supports LaTeX formatting just like axis label texts and titles:" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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6NMycCTfeCH36wFVXqRdSfvfrr66E99lnbtqIAQNc54FAtAckpiQya8ssPl79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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(xx, xx**2, xx, xx**3)\n", "\n", "ax.text(0.15, 0.2, r\"$y=x^2$\", fontsize=20, color=\"blue\")\n", "ax.text(0.65, 0.1, r\"$y=x^3$\", fontsize=20, color=\"green\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Figures with multiple subplots and insets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Axes can be added to a matplotlib Figure canvas manually using `fig.add_axes` or using a sub-figure layout manager such as `subplots`, `subplot2grid`, or `gridspec`:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### subplots" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 3)\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### subplot2grid" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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OgvniXOm+btayk3QIcBvwUeBl4JqIuLdJu4XAl4BjSX703AN8NSLe6Uqg1hVV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\nVFFDtsOfpQAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax1 = plt.subplot2grid((3,3), (0,0), colspan=3)\n", "ax2 = plt.subplot2grid((3,3), (1,0), colspan=2)\n", "ax3 = plt.subplot2grid((3,3), (1,2), rowspan=2)\n", "ax4 = plt.subplot2grid((3,3), (2,0))\n", "ax5 = plt.subplot2grid((3,3), (2,1))\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### gridspec" ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [], "source": [ "import matplotlib.gridspec as gridspec" ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "\n", "gs = gridspec.GridSpec(2, 3, height_ratios=[2,1], width_ratios=[1,2,1])\n", "for g in gs:\n", " ax = fig.add_subplot(g)\n", " \n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### add_axes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Manually adding axes with `add_axes` is useful for adding insets to figures:" ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "image/png": 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RAG4DWFLsGZnKVKsGdOgAHDsmdyTy04bquofJD/HX9b/kDoOxUiUmAsPfS4Z+51VY0f8z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\ncDbyLHwn+MJQ31A1J9ViOtX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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "ax.plot(xx, xx**2, xx, xx**3)\n", "fig.tight_layout()\n", "\n", "# inset\n", "inset_ax = fig.add_axes([0.2, 0.55, 0.35, 0.35]) # X, Y, width, height\n", "\n", "inset_ax.plot(xx, xx**2, xx, xx**3)\n", "inset_ax.set_title('zoom near origin')\n", "\n", "# set axis range\n", "inset_ax.set_xlim(-.2, .2)\n", "inset_ax.set_ylim(-.005, .01)\n", "\n", "# set axis tick locations\n", "inset_ax.set_yticks([0, 0.005, 0.01])\n", "inset_ax.set_xticks([-0.1,0,.1]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Colormap and contour figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Colormaps and contour figures are useful for plotting functions of two variables. In most of these functions we will use a colormap to encode one dimension of the data. There are a number of predefined colormaps. It is relatively straightforward to define custom colormaps. For a list of pre-defined colormaps, see: http://www.scipy.org/Cookbook/Matplotlib/Show_colormaps" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "alpha = 0.7\n", "phi_ext = 2 * np.pi * 0.5\n", "\n", "def flux_qubit_potential(phi_m, phi_p):\n", " return 2 + alpha - 2 * np.cos(phi_p) * np.cos(phi_m) - alpha * np.cos(phi_ext - 2*phi_p)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "phi_m = np.linspace(0, 2*np.pi, 100)\n", "phi_p = np.linspace(0, 2*np.pi, 100)\n", "X,Y = np.meshgrid(phi_p, phi_m)\n", "Z = flux_qubit_potential(X, Y).T" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### pcolor" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "p = ax.pcolor(X/(2*np.pi), Y/(2*np.pi), Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max())\n", "cb = fig.colorbar(p, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### imshow" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "im = ax.imshow(Z, cmap=matplotlib.cm.hot, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])\n", "im.set_interpolation('bilinear')\n", "\n", "cb = fig.colorbar(im, ax=ax)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### contour" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "cnt = ax.contour(Z, cmap=matplotlib.cm.RdBu, vmin=abs(Z).min(), vmax=abs(Z).max(), extent=[0, 1, 0, 1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3D figures" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To use 3D graphics in matplotlib, we first need to create an instance of the `Axes3D` class. 3D axes can be added to a matplotlib figure canvas in exactly the same way as 2D axes; or, more conveniently, by passing a `projection='3d'` keyword argument to the `add_axes` or `add_subplot` methods." ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "from mpl_toolkits.mplot3d.axes3d import Axes3D" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Surface plots" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(14,6))\n", "\n", "# `ax` is a 3D-aware axis instance because of the projection='3d' keyword argument to add_subplot\n", "ax = fig.add_subplot(1, 2, 1, projection='3d')\n", "\n", "p = ax.plot_surface(X, Y, Z, rstride=4, cstride=4, linewidth=0)\n", "\n", "# surface_plot with color grading and color bar\n", "ax = fig.add_subplot(1, 2, 2, projection='3d')\n", "p = ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=matplotlib.cm.coolwarm, linewidth=0, antialiased=False)\n", "cb = fig.colorbar(p, shrink=0.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Wire-frame plot" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1, 1, 1, projection='3d')\n", "\n", "p = ax.plot_wireframe(X, Y, Z, rstride=4, cstride=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Coutour plots with projections" ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(8,6))\n", "\n", "ax = fig.add_subplot(1,1,1, projection='3d')\n", "\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "cset = ax.contour(X, Y, Z, zdir='z', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='x', offset=-np.pi, cmap=matplotlib.cm.coolwarm)\n", "cset = ax.contour(X, Y, Z, zdir='y', offset=3*np.pi, cmap=matplotlib.cm.coolwarm)\n", "\n", "ax.set_xlim3d(-np.pi, 2*np.pi);\n", "ax.set_ylim3d(0, 3*np.pi);\n", "ax.set_zlim3d(-np.pi, 2*np.pi);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Change the view angle" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can change the perspective of a 3D plot using the `view_init` method, which takes two arguments: `elevation` and `azimuth` angle (in degrees):" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/bushuhui/.virtualenv/dl/lib/python3.5/site-packages/matplotlib/tight_layout.py:177: UserWarning: The left and right margins cannot be made large enough to accommodate all axes decorations. \n", " warnings.warn('The left and right margins cannot be made large '\n", "/home/bushuhui/.virtualenv/dl/lib/python3.5/site-packages/matplotlib/tight_layout.py:198: UserWarning: tight_layout cannot make axes width small enough to accommodate all axes decorations\n", " warnings.warn('tight_layout cannot make axes width small enough '\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(12,6))\n", "\n", "ax = fig.add_subplot(1,2,1, projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "ax.view_init(30, 45)\n", "\n", "ax = fig.add_subplot(1,2,2, projection='3d')\n", "ax.plot_surface(X, Y, Z, rstride=4, cstride=4, alpha=0.25)\n", "ax.view_init(70, 30)\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Animations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Matplotlib also includes a simple API for generating animations for sequences of figures. With the `FuncAnimation` function we can generate a movie file from sequences of figures. The function takes the following arguments: `fig`, a figure canvas, `func`, a function that we provide which updates the figure, `init_func`, a function we provide to setup the figure, `frame`, the number of frames to generate, and `blit`, which tells the animation function to only update parts of the frame which have changed (for smoother animations):\n", "\n", " def init():\n", " # setup figure\n", "\n", " def update(frame_counter):\n", " # update figure for new frame\n", "\n", " anim = animation.FuncAnimation(fig, update, init_func=init, frames=200, blit=True)\n", "\n", " anim.save('animation.mp4', fps=30) # fps = frames per second\n", "\n", "To use the animation features in matplotlib we first need to import the module `matplotlib.animation`:" ] }, { "cell_type": "code", "execution_count": 66, "metadata": {}, "outputs": [], "source": [ "from matplotlib import animation" ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "# solve the ode problem of the double compound pendulum again\n", "\n", "from scipy.integrate import odeint\n", "from numpy import cos, sin\n", "\n", "g = 9.82; L = 0.5; m = 0.1\n", "\n", "def dx(x, t):\n", " x1, x2, x3, x4 = x[0], x[1], x[2], x[3]\n", " \n", " dx1 = 6.0/(m*L**2) * (2 * x3 - 3 * cos(x1-x2) * x4)/(16 - 9 * cos(x1-x2)**2)\n", " dx2 = 6.0/(m*L**2) * (8 * x4 - 3 * cos(x1-x2) * x3)/(16 - 9 * cos(x1-x2)**2)\n", " dx3 = -0.5 * m * L**2 * ( dx1 * dx2 * sin(x1-x2) + 3 * (g/L) * sin(x1))\n", " dx4 = -0.5 * m * L**2 * (-dx1 * dx2 * sin(x1-x2) + (g/L) * sin(x2))\n", " return [dx1, dx2, dx3, dx4]\n", "\n", "x0 = [np.pi/2, np.pi/2, 0, 0] # initial state\n", "t = np.linspace(0, 10, 250) # time coordinates\n", "x = odeint(dx, x0, t) # solve the ODE problem" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate an animation that shows the positions of the pendulums as a function of time:" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [], "source": [ "fig, ax = plt.subplots(figsize=(5,5))\n", "\n", "ax.set_ylim([-1.5, 0.5])\n", "ax.set_xlim([1, -1])\n", "\n", "pendulum1, = ax.plot([], [], color=\"red\", lw=2)\n", "pendulum2, = ax.plot([], [], color=\"blue\", lw=2)\n", "\n", "def init():\n", " pendulum1.set_data([], [])\n", " pendulum2.set_data([], [])\n", "\n", "def update(n): \n", " # n = frame counter\n", " # calculate the positions of the pendulums\n", " x1 = + L * sin(x[n, 0])\n", " y1 = - L * cos(x[n, 0])\n", " x2 = x1 + L * sin(x[n, 1])\n", " y2 = y1 - L * cos(x[n, 1])\n", " \n", " # update the line data\n", " pendulum1.set_data([0 ,x1], [0 ,y1])\n", " pendulum2.set_data([x1,x2], [y1,y2])\n", "\n", "anim = animation.FuncAnimation(fig, update, init_func=init, frames=len(t), blit=True)\n", "\n", "# anim.save can be called in a few different ways, some which might or might not work\n", "# on different platforms and with different versions of matplotlib and video encoders\n", "#anim.save('animation.mp4', fps=20, extra_args=['-vcodec', 'libx264'], writer=animation.FFMpegWriter())\n", "#anim.save('animation.mp4', fps=20, extra_args=['-vcodec', 'libx264'])\n", "#anim.save('animation.mp4', fps=20, writer=\"ffmpeg\", codec=\"libx264\")\n", "anim.save('animation.mp4', fps=20, writer=\"avconv\", codec=\"libx264\")\n", "\n", "plt.close(fig)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: To generate the movie file we need to have either `ffmpeg` or `avconv` installed. Install it on Ubuntu using:\n", "\n", " $ sudo apt-get install ffmpeg\n", "\n", "or (newer versions)\n", "\n", " $ sudo apt-get install libav-tools\n", "\n", "On MacOSX, try: \n", "\n", " $ sudo port install ffmpeg" ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "text/html": [ "