{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Astronomical data analysis using Python\n", "===\n", "\n", "Lecture 7\n", "---\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Acknowledgements\n", "\n", "Some slides used in this talk were prepared by Varun Bhalerao for an earlier version of this course." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Assignment 1\n", "\n", "The next session to be conducted by Dr. Preetish Mishra on Dec 2, 2021 will be devoted to a discussion of the problems in Assignment 1. Please try to solve the problems by then." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Plotting with Python\n", "===" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "* ppgplot/pygplot\n", "* sm\n", "* gnuplot\n", "* R\n", "* Matlab\n", "* Mathematica\n", "* IDL \n", "* Octave\n", "\n", "Interfaces available to all of these. Useful if you already know the syntax. Otherwise, just use `matplotlib` which we will learn about today." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Python usage in big data applications\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Matplotlib - the standard plotting library for Python\n", "===" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "Matplotlib has very powerful plotting facilities. So before we start with the details, let us take a look at https://matplotlib.org/stable/gallery/index.html. It is a showcase of the capabilities of Matplotlib: starting from very simple graphs, to far more complicated ones.\n", "\n", "When you get started with plotting, choose a plot that does most of what you want, and then modify it as per your needs. " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# Let's get started!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "Matplotlib commands are nearly identical to Matlab commands. So, in case you know Matlab, you won't have to learn much." ] }, { "cell_type": "code", "execution_count": 106, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "# %pylab inline\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "plt.rcParams['figure.figsize'] = (5,3.5)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [], "source": [ "# Generate some test data\n", "x = np.arange(0, 6.28, 0.01)\n", "y = np.sin(x)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "Now we plot y versus x" ] }, { "cell_type": "code", "execution_count": 108, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 108, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Adding Labels\n", "\n", "That was simple: we have plotted y as a function of x. Now let us add axis labels and a title." ] }, { "cell_type": "code", "execution_count": 109, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'This is my first plot')" ] }, "execution_count": 109, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y)\n", "plt.xlabel(\"theta (angle in radians)\")\n", "plt.ylabel('sin(theta)')\n", "plt.title(\"This is my first plot\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Fancier labels:" ] }, { "cell_type": "code", "execution_count": 110, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y)\n", "xlab = plt.xlabel(r\"$\\theta$ (angle in radians)\") # note the r before quotes\n", "ylab = plt.ylabel(r'sin($\\theta$)')\n", "thetitle= plt.title(\"This is is a nicer plot\");thetitle.set_fontweight('bold')\n", "ylab.set_color('blue');xlab.set_color('red'); xlab.set_style('italic')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "More examples at https://matplotlib.org/stable/gallery/text_labels_and_annotations/fonts_demo.html" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Axis Range and scale" ] }, { "cell_type": "code", "execution_count": 111, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'X**4 versus X')" ] }, "execution_count": 111, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "another_x = x+1\n", "plt.plot(another_x,another_x**4)\n", "plt.title('X**4 versus X')" ] }, { "cell_type": "code", "execution_count": 112, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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Q1tKJiG4ru7gKSUcL8E1GAYoq6nTbvbp2weRwT0wO80Swu3ks3GqsKisr4ejo2Oo80OszvoaGBqSnp2Px4sW6bXK5HDExMTh8+DAAQK1Ww8bGBvb29qioqMCBAwfw1FNP3bLNlStXYvny5fosk4jopoor6vDtsQIkHS1sMfzA3toCD/T3wJRwLwzq4cRVD0ycXoOvrKwMGo3mhtuWbm5uOH36NADgwoULePLJJ3WdWp555hn069fvlm0uXrwYCQkJuvfXrviIiPShqq4ROzOLsSWjAIfOXtb1yLRUyDAyyBVTB3hhZLArrC0V0hZKemPwXp1RUVHIyMi4689bWVnByopz1BGR/jRqtDiQU4qkowXYk6VG/XWdVAb16IYpA7wwsZ8Hhx90UnoNPmdnZygUCqjV6hbb1Wo13N3d29W2SqWCSqWCRqNpVztEZL5OFVVic/olbDlagMs1DbrtAS62mDbAC38I9+IyP2ZAr8GnVCoRERGB5ORkXYcXrVaL5ORkLFiwoF1tx8fHIz4+Xvcwk4joblypacA3GQXYnH4JJwt/f27nbKfE5DAvTB3ghb5eDuykYkZaHXzV1dXIzc3Vvc/Ly0NGRgacnJzg6+uLhIQExMXFITIyElFRUVi9ejVqamowZ84cvRZORHQrjRot9meXYlN6Pn44XYJGTfODO0uFDDF93DA9whvDAl1gqZBLXClJodXBl5aWhpEjR+reX+t4EhcXh/Xr1yM2NhalpaVYsmQJiouLER4ejp07d3KcHhF1uNPFldicdglbMgpQVv37rcx+Xo6YHuGNyWGeXOqH2jeOz5Cuf8aXk5PDcXxEBKD5Vua3GQXYfOQSMgta3sqcOsALD0Z4I9id/1Z0Rm0dx2cywXdNW0+UiDoPjVbgYG4ZElMvYk+WusWtzNHBbpgRyVuZ5sAoBrATEXWkwvJf8WVaPjalXUJB+a+67X29HDB9oDcmh3vBibcy6Q4YfERk1Bo1WiSfKsHG1IvYn1OqG2DuYG2BaQO9ETvIB308ePeH7p7JBB/H8RGZl7yyGmxMvYiv0i+16KhyT4ATZkb5YmyoO2dToTbhMz4iMhp1jRrsyCzCxpR8/JJ3Rbfd2c4KMyK98VCkD/ydbSWskIwJn/ERkcnKLq7C579cQNLRAlTWNS/7I5cBI4JcETvIB6OCXdlRhfSGwUdEkqhv0mBnZjE2/HwBqeev6rZ7de2C2EE+mB7hDc+uXSSskDorBh8RGdTFy7X4b8oFbEq7hCu/zZepkMswpo8bHo72xX29nLnsD3Uokwk+dm4hMl0arcAPp0uw4ecLOHDm956Z7g7WmBnli9hBPnB3tJa2SDIb7NxCRB2mpLIOG1PzsTHlIgqvW8V8WKALHon2xehgV1jw2R21ETu3EJFREELg8NnL2PDLBew+qUaTtvl36242lngo0gcPR/vCrzt7ZpJ0GHxEpBc19U34+mgBPjt0HmdKqnXbI/264dF7/DCuL8fdkXFg8BFRu1y4XIPPDl/Al2n5qPptKIKtUoGpA73wSLQfZ1Uho2MywcfOLUTGQwiBH8+U4dND5/FDdomus4q/sy0eG+yH6RHesLe2lLZIoltg5xYiumvV9U34+sglfHroPM6W1ui2jwhyQdy9PTC8twuHIpDBsHMLEXWY82U1+PTweWxOu4Sq+ubbmXZWFpge4Y3HBvshwMVO2gKJWoHBR0Q3JYTAT7mX8dHBc9h33aoIAS62iBvcAw9GeMPOiv+EkOnhn1oiaqG+SYOtx4rw4Y/ncLq4CgAgkwGjgl0Rd28PDOXMKmTiGHxEBAC4WtOAz1Mu4tND51FSVQ8AsFEq8FCkD2bf2wM9uCoCdRIMPiIzl1dWg48P5mFTej7qGrUAADcHK8y+1x8PR/nC0Ya9M6lzMZng43AGIv0RQiAl7wr+/WMekk+rdc/vQjwcMG+YPyb284TSglOJUefE4QxEZqRRo8X2E0X46GAejl+q0G0fHeyKJ4YG4J4AJ8hkfH5HpoHDGYjoln5t0CAx9SL+/WMeCsp/BQBYWcjxYIQ35t7nj54cjkBmhMFH1ImV1zbg00MX8Onh87q175ztlHhscA88eo8fnGyV0hZIJAEGH1EnVFj+Kz46mIcvUi6itqH5ubivkw2eHBaA6RHenCyazBqDj6gTyS2pwtr957DlaIFuOaAQDwc8NaInxvd159p3RGDwEXUKRy5exdp9Z7E7S63bdk+AE54a0QvDejuzwwrRdRh8RCZKCIGDuWV474dc/JJ3BUDzDCv3h7hh/vCeGODbTeIKiYwTg4/IxAghsDe7BO8m5yIjvxwAYKmQYeoALzw5rCd6ubKHJtHtmEzwcQA7mTutVmB3lhrv7T2DzIJKAM1DEh6O9sWTwwLg4dhF4gqJTAMHsBMZOY1WYPuJIrz3Qy6y1c2TRtsoFZh1jx+eGBoAF3sriSskkgYHsBN1Mk0aLb49Voj39ubi3G+LvtpbWSDu3h54/D5/jsEjaiMGH5GRadRo8fWRS/jXvrO4cLkWAODYxRKPD/HH7CE94NiFk0YTtQeDj8hINGm0SDpagHd/OIP8K83TijnZKvHEUH/MuscP9tYMPCJ9YPARSUyjFdh6rBDvJJ9BXlnzLU1nOyvMHx6Ah6N9YaPkX1MifeLfKCKJaLUCOzKLsfr7HJwpqQYAdLOxxPzhPfHY4B7oouS0YkQdgcFHZGBCCOzJUuPt78/gVFHzsAQHaws8OSwAs4f4w86Kfy2JOhL/hhEZiBAC+3JK8faeHN1aePZWFnj8Pn/MHeoPBz7DIzIIBh+RARw6W4Z/7srGkYvNM63YKBWYfW8PPDksAF1tOCyByJAYfEQdKLOgAq/vPI0fz5QBaJ5p5bHBfpg/vCe623HgOZEUGHxEHeDC5Rr8c3cOth4rBNA8l+bMKF8sGNkLrg7WEldHZN5MJvg4VyeZgpKqOqxJzsUXKRd16+H9IdwTz48Jgm93G4mrIyKAc3US6UVVXSPWHTiHjw7m6VY8Hx7ogj+PC0Kop6PE1RF1Tpyrk0gC9U0a/OfwBaj25uJqbSMAIMynK14aF4zBPbtLXB0R3QyDj6gNhBD49lgh3tiZjYLy5unFAlxs8eexQRgb6s4Vz4mMGIOPqJXSzl/B3787hWO/LQLr7mCNZ2N6Y3qENywUcomrI6I7YfAR3aULl2vw+s7T2H6iGEDzWLynR/TE3PsCOL0YkQlh8BHdQUVtI9b8cAafHj6PRo2AXAbEDvLBc2MC4WrPoQlEpobBR3QLjRotNvx8Ae8kn0H5bx1XhvZ2xl8m9kGwO3sUE5kqBh/R/7g2ifTKHad1ywQFutnh5Ql9MCLIVeLqiKi9GHxE18ktqcLyrVm6Kcac7ZR4bkwgYiN92HGFqJNg8BEBqKxrxDvfn8Gnh86jSSugVMgxd6g/nh7RkyufE3UyDD4ya1qtwOb0S3hj12mUVTcAAGL6uOFvD/SBX3dbiasjoo7A4COzdeTiVSz/9iSO/bY2XoCLLZY8EMLneESdHIOPzE5JVR1e35GNr45cAgDYWVlg0ejeiLu3B5QWfI5H1Nkx+MhsNGq0WP/TebyTfAbV9U0AgOkR3vjzuCCOxyMyIww+Mgtp56/gL0mZyFZXAQDCvB2xbHIoBvh2k7gyIjI0gwdffn4+Zs2ahZKSElhYWOBvf/sbZsyYYegyyExcqWnAaztO4cu05tua3Wws8dL4YMyI8IFczomkicyRwYPPwsICq1evRnh4OIqLixEREYEJEybA1pY96Eh/tFqBTen5eG3Had1yQbGRPnhxfDCcbJUSV0dEUjJ48Hl4eMDDwwMA4O7uDmdnZ1y5coXBR3pzurgSf03KRNqFqwCAIDd7/GNqX0T2cJK4MiIyBq3uwnbgwAFMmjQJnp6ekMlk2LJlyw2fUalU6NGjB6ytrREdHY2UlJSbtpWeng6NRgMfH5/WV070P2rqm7Bi+ylMfPcg0i5chY1SgZcnBGPbwvsYekSk0+rgq6mpQVhYGFQq1U33JyYmIiEhAUuXLsWRI0cQFhaGsWPHoqSkpMXnrly5gsceewzr1q1rW+VE1/nhtBpj3tqPdQfOQaMVGBvqhu8ThuPJYT1hyanGiOg6MiGEaPMPy2RISkrClClTdNuio6MxaNAgvPfeewAArVYLHx8fPPPMM3jppZcAAPX19RgzZgzmzZuHWbNm3fYY9fX1qK+v172vrKyEj48PKioq4ODAGfLNXVl1PZZvzcLWY4UAAO9uXbB8cihG93GTuDIi6miVlZVwdHRsdR7o9VfhhoYGpKenIyYm5vcDyOWIiYnB4cOHATTPfD979myMGjXqjqEHACtXroSjo6PuxduiBDT/Ofr6yCXEvLUfW48VQi4DnhwWgD3PDWfoEdFt6TX4ysrKoNFo4ObW8h8eNzc3FBc3r1r9008/ITExEVu2bEF4eDjCw8Nx4sSJW7a5ePFiVFRU6F75+fn6LJlMUP6VWsR9koqEL4+hvLYRwe722BI/BC9P6MOV0Inojgzeq/O+++6DVqu9689bWVnBysqqAysiU6HRCnx66Dz+uTsbtQ0aKC3kWDS6N54cFsDneER01/QafM7OzlAoFFCr1S22q9VquLu7t6ttlUoFlUoFjUbTrnbINGUXV+HFr44jI78cABDl74SV0/qhp4udxJURkanR66/JSqUSERERSE5O1m3TarVITk7G4MGD29V2fHw8srKykJqa2t4yyYQ0abRQ7c3FA2t+REZ+OeytLPCPqX2xcd49DD0iapNWX/FVV1cjNzdX9z4vLw8ZGRlwcnKCr68vEhISEBcXh8jISERFRWH16tWoqanBnDlz9Fo4dX65JVV4/stjumWDYvq44tUp/eDuyAmliajtWh18aWlpGDlypO59QkICACAuLg7r169HbGwsSktLsWTJEhQXFyM8PBw7d+68ocML0a1otAIf/ngOb+7JQUOTFvbWFlg+ORRTB3hBJuP8mkTUPu0ax2dI1z/jy8nJ4Ti+TupcaTVe2HQMRy42P8sbEeSC16b151UeEd2greP4TCb4rmnriZJx02oFPjl0Hm/sPI36Ji3srSzwtwdCMCPSm1d5RHRTbc0DrsdHkrt4uRYvbDqGlPNXAABDezvjtQf7w6trF4krI6LOiMFHkhFCYHP6JSz79iRqGjSwVSrwl4khmBnlw6s8IuowJhN8HMfXuVytacDLSSewI7N5Rp8ofye8OSMMPk42EldGRJ0dn/GRwf14phQvbDoGdWU9LOQyJNwfiP8b1hMKrohORK3AZ3xk9OoaNXhjZzY+/ikPABDgYot3/zgAfb0cJa6MiMwJg48M4lRRJZ7dmIFsdRUAYNY9fpxUmogkweCjDiWEwPpD57Fy+2k0aLRwtlPijen9MSqYExoQkTRMJvjYucX0lNc24IVNx/H9qeZJy0cHu+L16f3hbMfVNohIOuzcQh0i7fwVLPziKAor6qBUyPGXiX3w2GA/DlMgIr1h5xYyClqtwPv7z+KtPTnQaAX8nW2xZiY7sBCR8WDwkd6UVNUhIfEYDuaWAQCmhHvi1an9YGfFP2ZEZDz4LxLpxcEzZXg2MQNl1fXoYqnA8j+EYkYE59kkIuNjMsHHzi3GSaMVeOf7HKzZmwshgCA3e6geGYBervZSl0ZEdFPs3EJtdqWmAYs2HsWPZ5pvbT4c7YslD4TA2pJj84io47FzCxnU0YtXEf/fIyisqEMXSwVWTuuHKQO8pC6LiOiOGHzUKkIIbPj5Al7ZloVGjUCAsy3efzQCQe68tUlEpoHBR3ettqEJf0nKRNLRAgDAuFB3rJrRH/bWlhJXRkR09xh8dFfOlVbjqQ1HkK2ugkIuw0vjgvHEUH/22iQik8Pgozv64bQai77IQFV9E5ztrPDewwNwT0B3qcsiImoTkwk+DmcwPCEE/rXvLP65OxtCAJF+3fCvRwbC1cFa6tKIiNqMwxnopmobmvDnzcex7XgRAOCRaF8snRQKpYVc4sqIiJpxOAPpTUH5r5j3aRqyiiphIZdh2eRQPHqPn9RlERHpBYOPWvjl3GU8/d8juFzTgO62Srz/aASi/J2kLouISG8YfKSz4ecLWPbtSTRpBUI9HbDusUh4de0idVlERHrF4CNMgm3gAAAV0UlEQVQ0abR4ZVsWPjt8AQAwKcwTbzzYH12UnHqMiDofBp+Zq6prxILPj2J/TilkMuBPY4Pw1PCeHJ9HRJ0Wg8+MXbpai7nr05CtroK1pRyrYwdgXF93qcsiIupQDD4zdSy/HHM/TUNZdT1c7a3wYVwk+nt3lbosIqIOZzLBxwHs+rPjRBGe+zIDdY1aBLvb4+PZg+DJTixEZCY4gN2MCCGwdv85vL7zNABgZJAL1jw8EHZWJvP7DxGRDgew021ptAJLvsnEf3+5CACYfW8P/HViH1goOBMLEZkXBp8ZqGvUYOEXR7E7Sw2ZDFj6QAhmD/GXuiwiIkkw+Dq58toGzP00DekXrkJpIcc7seEY389D6rKIiCTD4OvELl2tRdzHKThbWgMHawt8GDeI048Rkdlj8HVSp4oqMfuTFKgr6+HhaI1PH49CoJu91GUREUmOwdcJHTpbhv/7LB1V9U0IcrPH+scHwcORwxWIiAAGX6ezM7MYC784igaNFlH+Tvj3Y5Fw7GIpdVlEREaDwdeJfJV+CX/+6jg0WoFxoe5Y/cdwWFtyomkiousx+DqJzw6fx5JvTgIApkd447Vp/ThGj4joJhh8Jk4IgX/tO4tVu7IBNA9MX/JACORyrq5ARHQzDD4TJoTAaztP44P95wAAC0f1wnNjArmkEBHRbZhM8HGS6pY0WoG/fZOJz3+bguwvE/pg3rAAiasiIjJ+nKTaBDVptHh+0zF8k1EImQxYMbUfZkb5Sl0WEZFBcZJqM9Gk0eLZxAxsO14EC7kMb8eGY1KYp9RlERGZDAafCWnUaPHsxgx8d6IIlgoZVA8PxP2hXDGdiKg1GHwmolGjxcIvjmJHZjEsFTK8/0gEYkLcpC6LiMjkMPhMQEOTFs98cQS7TqqhVMixdtZAjApm6BERtQWDz8g1NGkR//kR7MlSQ2khxwezIjAyyFXqsoiITBaDz4g1NGnx9H/T8f2pElhZyLHusUgMD3SRuiwiIpPG4DNSTRotFm08qgu9D+MiMbQ3Q4+IqL04maMR0mgFXth0DDsyi6FUyPHvxxh6RET6wuAzMkII/CXpBLZkFMJCLoPqkYEYxtubRER6w+AzIkIILN+ahY2p+ZDLgLdjwzGGQxaIiPSKwWckhBB4fWc21h86DwB4Y3oYZ2QhIuoADD4jseaHXKzdfxYA8OqUvpge4S1xRUREnRODzwis/ykPb+3JAQD8dWIfPHqPn8QVERF1XpIE39SpU9GtWzdMnz5disMblW8yCrBsaxYA4LmYQDwxlEsLERF1JEmCb9GiRfjss8+kOLRR2Z9Tiue/PAageeX0haN7SVwREVHnJ0nwjRgxAvb29lIc2mgcvXgVT21IR5NWYFKYJ5Y8EMKV04mIDKDVwXfgwAFMmjQJnp6ekMlk2LJlyw2fUalU6NGjB6ytrREdHY2UlBS9FNtZ5JZU4/H1qaht0GBob2e8OSMMcjlDj4jIEFodfDU1NQgLC4NKpbrp/sTERCQkJGDp0qU4cuQIwsLCMHbsWJSUlLS72M6gqOJXPPbRL7ha24gwn65Y+2gElBbsY0REZCitnqtz/PjxGD9+/C33v/XWW5g3bx7mzJkDAFi7di2+++47fPzxx3jppZdaXWB9fT3q6+t17ysrK1vdhrGo+LURcR+noLCiDgEutvhk9iDYWnG6VCIiQ9LrpUZDQwPS09MRExPz+wHkcsTExODw4cNtanPlypVwdHTUvXx8fPRVrkE1NGnx1IZ05Kir4eZghf/MjYaTrVLqsoiIzI5eg6+srAwajQZubi2n2XJzc0NxcbHufUxMDGbMmIHt27fD29v7tqG4ePFiVFRU6F75+fn6LNkghBB4OekEDp29DFulAh/PHgSvrl2kLouIyCxJcp/t+++/v+vPWllZwcrKqgOr6XhrfsjF5vRLUMhleO+RgQj1dJS6JCIis6XXKz5nZ2coFAqo1eoW29VqNdzd3dvVtkqlQkhICAYNGtSudgwt6egl3awsr/whlKunExFJTK/Bp1QqERERgeTkZN02rVaL5ORkDB48uF1tx8fHIysrC6mpqe0t02AOn72MP28+DgD4v+EBeCSaU5EREUmt1bc6q6urkZubq3ufl5eHjIwMODk5wdfXFwkJCYiLi0NkZCSioqKwevVq1NTU6Hp5movckmr833/S0KgRmNjfAy+ODZa6JCIiQhuCLy0tDSNHjtS9T0hIAADExcVh/fr1iI2NRWlpKZYsWYLi4mKEh4dj586dN3R46cwqahsx77M0VNY1IcKvGweoExEZEZkQQkhdxN1QqVRQqVTQaDTIyclBRUUFHBwcpC7rBk0aLWZ/koqDuWXw6toF3y4Ygu52pt05h4jIGFVWVsLR0bHVeWAywXdNW0/UUJZ9exLrD52HjVKBzfPvRYin8dVIRNQZtDUPOFeWHm1MuahbQf2th8IZekRERojBpycpeVfwt28yAQAJYwIxrm/7hm8QEVHHMJngM+ZxfJeu1uKpDenNPTj7eeCZUVxXj4jIWPEZXzv92qDBtPcP4VRRJUI9HbB5/r3oolRIXRYRUafHZ3wSuDYH56miSjjbKfHvxyIZekRERo7B1w4bfr6ApKMFUMhlWDNzIDw58TQRkdFj8LXRkYtX8cq2LADAi+OCMLhnd4krIiKiu2EywWdMnVvKquvx9IYjaNQIjO/rjnlDA6QuiYiI7hI7t7RSk0aLWR+l4PC5y+jpYotvFtwHO66iTkRkcOzcYiCrdmfj8LnmBWU/mBXB0CMiMjEMvlbYe7oEH+w/BwB4Y3oYernaS1wRERG1FoPvLhVX1CHhywwAQNxgP0zs7yFxRURE1BYmE3xSdm5p0mixcONRXK1tRKinAxZP6GPwGoiISD/YueUuvLUnB+8mn4GtUoFtC4fC39nWIMclIqJbY+eWDnIotwxrfjgDAFgxrR9Dj4jIxDH4bqOsuh6LEjMgBBAb6YM/hHtJXRIREbUTg+8WhBB4YdMxlFbVo7erHZZNDpW6JCIi0gMG3y385+cL2JddCisLOd57eCAnnyYi6iQYfDeRW1KFf3x3CgCweHwwgtw5Xo+IqLMwmeAz1HCGhiYtnk3MQH2TFkN7O+OxwT069HhERGRYHM7wP1btOg3V3rPoamOJXc8Og5uDtd6PQURE7cfhDHqQev4K3t93FgCwcmo/hh4RUSfE4PtNVV0jnkvMgFYADw70xvh+nJKMiKgzYvD95pWtWbh09Vd4d+uCZZNDpC6HiIg6CIMPwN7sEmxKvwSZDHjroXDYW1tKXRIREXUQsw++yrpGvPz1CQDAnHv9EeXvJHFFRETUkcw++FZuP4Wiijr4dbfBn8YGSV0OERF1MLMOvoNnyvBFSj4A4PUH+3N2FiIiM2AywafvAezV9U148avjAIDHBvvhnoDuemmXiIiMm9kOYP/blkz85+cL8O7WBbueHQZbKws9VklERB2NA9hb4fDZy/jPzxcANN/iZOgREZkPswu+ukYNFn/dfItzZpQvhvRylrgiIiIyJLMLvn/tzcX5y7Vwc7DC4gnBUpdDREQGZlbBl1tSjff3N8/FuXRSKBw4UJ2IyOyYTfAJIfCXpBNo1AiMCnbF+L7uUpdEREQSMJvg25x+Cb/kXYG1pRzLJ4dCJpNJXRIREUnALILvSk0DVmxvXlH9uZhA+DjZSFwRERFJxSyCb8X2U7ha24hgd3s8fp+/1OUQEZGEOn3wpZ2/gs2/rbzwj6n9YKno9KdMRES30alTQKMVWPrtSQDAQxE+iPDrJnFFREQktU4dfImp+ThZWAl7awv8aRxXXiAiIhMKvtZOUl1e24BVu04DABLGBMLZzqojyyMiIhNhMsEXHx+PrKwspKam3tXn396Tg6u1jQh0s8Oj9/h1cHVERGQqTCb4WuNUUaVuEuplk0LZoYWIiHQ6XSIIIbDs25PQCmBCP3fcy0moiYjoOp0u+LafKNbN0PLyhD5Sl0NEREamUwVffZMGr+9s7tDyf8N6wrsbZ2ghIqKWOlXwbfj5Ii5eqYWLvRWeHBYgdTlERGSEOk3wVdQ24t3kMwCA58cEclV1IiK6qU4TfKp9uaj4tXn4woxIH6nLISIiI9Upgi//Si3W/3QeALB4Qh8o5FxyiIiIbq5TBN+qXdlo0GgxpFd3jAh0kbocIiIyYiYffMfyy/HtsULIZMDLE/pwgVkiIrotkw++13Y0D1+YOsALoZ6OEldDRETGzqSD76fcMhw+dxlKhRzP38/VF4iI6M5MNviEEPjn7mwAwMPRvvDq2kXiioiIyBRIEnzbtm1DUFAQevfujQ8//LBNbezPKcXRi+WwtpTj6ZE99VwhERF1VgYf5d3U1ISEhATs3bsXjo6OiIiIwNSpU9G9e/dWtbPmh1wAQNy9PeBqb90RpRIRUSdk8Cu+lJQUhIaGwsvLC3Z2dhg/fjx2797d6nayi6tgZ2WB+cN4tUdERHev1cF34MABTJo0CZ6enpDJZNiyZcsNn1GpVOjRowesra0RHR2NlJQU3b7CwkJ4eXnp3nt5eaGgoKBNxc+9zx/dbJVt+lkiIjJPrQ6+mpoahIWFQaVS3XR/YmIiEhISsHTpUhw5cgRhYWEYO3YsSkpK2l3s9Ry7WGDuUH+9tklERJ1fq4Nv/PjxePXVVzF16tSb7n/rrbcwb948zJkzByEhIVi7di1sbGzw8ccfAwA8PT1bXOEVFBTA09Pzlserr69HZWVlixcAzBniDwdry9aWT0REZk6vz/gaGhqQnp6OmJiY3w8glyMmJgaHDx8GAERFRSEzMxMFBQWorq7Gjh07MHbs2Fu2uXLlSjg6OupePj7NE1A/HO2rz9KJiMhM6DX4ysrKoNFo4Obm1mK7m5sbiouLAQAWFhZ48803MXLkSISHh+P555+/bY/OxYsXo6KiQvfKz88HANgouewQERG1niTpMXnyZEyePPmuPmtlZQUrK6sOroiIiMyFXq/4nJ2doVAooFarW2xXq9Vwd3dvV9sqlQohISEYNGhQu9ohIiLzptfgUyqViIiIQHJysm6bVqtFcnIyBg8e3K624+PjkZWVhdTU1PaWSUREZqzVtzqrq6uRm5ure5+Xl4eMjAw4OTnB19cXCQkJiIuLQ2RkJKKiorB69WrU1NRgzpw5ei2ciIioLVodfGlpaRg5cqTufUJCAgAgLi4O69evR2xsLEpLS7FkyRIUFxcjPDwcO3fuvKHDCxERkRRkQgghdRF3Q6VSQaVSQaPRICcnBxUVFXBwcJC6LCIikkhlZSUcHR1bnQcmE3zXtPVEiYioc2lrHpjsenxERERtweAjIiKzYjLTn1x7xtfU1AQAujk7iYjIPF3LgdY+sTO5Z3znzp1Dz55cg4+IiJrl5+fD29v7rj9vMld81zg5OQEALl68CEdHR4mrMZzKykr4+PggPz/frDr1mON5m+M5AzxvnnfrCSFQVVV12xV+bsbkgk8ub34s6ejoaFZ/SK5xcHDgeZsJczxngOdtbtp73m25AGLnFiIiMisMPiIiMiuKZcuWLZO6iNZSKBQYMWIELCxM7k5tu/C8zee8zfGcAZ43z9swTK5XJxERUXvwVicREZkVBh8REZkVBh8REZkVBh8REZkVBh8REZkVkwm+AwcOYNKkSfD09IRMJsOWLVukLqnDrVy5EoMGDYK9vT1cXV0xZcoUZGdnS11Wh3v//ffRv39/3YwOgwcPxo4dO6Quy+Bee+01yGQyPPvss1KX0qGWLVsGmUzW4hUcHCx1WQZRUFCARx99FN27d0eXLl3Qr18/pKWlSV1Wh+rRo8cN/79lMhni4+MNVoPJBF9NTQ3CwsKgUqmkLsVg9u/fj/j4ePz888/Ys2cPGhsbcf/996Ompkbq0jqUt7c3XnvtNaSnpyMtLQ2jRo3CH/7wB5w8eVLq0gwmNTUVH3zwAfr37y91KQYRGhqKoqIi3evgwYNSl9Thrl69iiFDhsDS0hI7duxAVlYW3nzzTXTr1k3q0jpUampqi//Xe/bsAQDMmDHDcEUIEwRAJCUlSV2GwZWUlAgAYv/+/VKXYnDdunUTH374odRlGERVVZXo3bu32LNnjxg+fLhYtGiR1CV1qKVLl4qwsDCpyzC4F198Udx3331SlyG5RYsWiZ49ewqtVmuwY5rMFR8BFRUVAH5focIcaDQabNy4ETU1NRg8eLDU5RhEfHw8Jk6ciJiYGKlLMZgzZ87A09MTAQEBeOSRR3Dx4kWpS+pw3377LSIjIzFjxgy4urpiwIAB+Pe//y11WQbV0NCADRs24PHHH4dMJjPYcc1rfhwTptVq8eyzz2LIkCHo27ev1OV0uBMnTmDw4MGoq6uDnZ0dkpKSEBISInVZHW7jxo04cuQIUlNTpS7FYKKjo7F+/XoEBQWhqKgIy5cvx9ChQ5GZmQl7e3upy+sw586dw/vvv4+EhAS8/PLLSE1NxcKFC6FUKhEXFyd1eQaxZcsWlJeXY/bs2QY9LoPPRMTHxyMzM9Msnn0AQFBQEDIyMlBRUYHNmzcjLi4O+/fv79Thl5+fj0WLFmHPnj2wtraWuhyDGT9+vO6/+/fvj+joaPj5+eHLL7/E3LlzJaysY2m1WkRGRmLFihUAgAEDBiAzMxNr1641m+D76KOPMH78+Favp9devNVpAhYsWIBt27Zh7969rVpl2JQplUr06tULERERWLlyJcLCwvDOO+9IXVaHSk9PR0lJCQYOHAgLCwtYWFhg//79ePfdd2FhYQGNRiN1iQbRtWtXBAYGIjc3V+pSOpSHh8cNv8j16dPHLG7zAsCFCxfw/fff44knnjD4sXnFZ8SEEHjmmWeQlJSEffv2wd/fX+qSJKPValFfXy91GR1q9OjROHHiRIttc+bMQXBwMF588UUoFAqJKjOs6upqnD17FrNmzZK6lA41ZMiQG4Yn5eTkwM/PT6KKDOuTTz6Bq6srJk6caPBjm0zwVVdXt/gNMC8vDxkZGXBycoKvr6+ElXWc+Ph4fP755/jmm29gb2+P4uJiAM0rDnfp0kXi6jrO4sWLMX78ePj6+qKqqgqff/459u3bh127dkldWoeyt7e/4fmtra0tunfv3qmf677wwguYNGkS/Pz8UFhYiKVLl0KhUGDmzJlSl9ahnnvuOdx7771YsWIFHnroIaSkpGDdunVYt26d1KV1OK1Wi08++QRxcXHSLMVksP6j7bR3714B4IZXXFyc1KV1mJudLwDxySefSF1ah3r88ceFn5+fUCqVwsXFRYwePVrs3r1b6rIkYQ7DGWJjY4WHh4dQKpXCy8tLxMbGitzcXKnLMoitW7eKvn37CisrKxEcHCzWrVsndUkGsWvXLgFAZGdnS3J8rsdHRERmhZ1biIjIrDD4iIjIrDD4iIjIrDD4iIjIrDD4iIjIrDD4iIjIrDD4iIjIrDD4iIjIrDD4iIjIrDD4iIjIrDD4iIjIrPw/49X9eehKNwYAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's make it look a bit better\n", "plt.plot(another_x,another_x**4)\n", "plt.title(r'X$^4$ versus X') # The $ signs are for latex inputs\n", "plt.xlim(min(another_x), max(another_x))\n", "plt.yscale('log')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Overplot" ] }, { "cell_type": "code", "execution_count": 123, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.rcParams['figure.figsize'] = (5,3.5)\n", "plt.xkcd()\n", "plt.plot(x, y)\n", "plt.plot(x, np.cos(x)) # Second curve in the same figure\n", "xlab = plt.xlabel(r\"$\\theta$ (angle in radians)\") \n", "plt.rcdefaults()\n", "plt.rcParams['figure.figsize'] = (5,3.5)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Styles, symbols and colours" ] }, { "cell_type": "code", "execution_count": 124, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 124, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "plt.plot(x, y)\n", "x_spaced = np.arange(0, 2.0*np.pi, 0.3)\n", "plt.plot(x_spaced, np.sin(x_spaced), marker='o', color='red', linestyle='None')\n", "plt.plot(x_spaced, np.cos(x_spaced), 'b+')" ] }, { "cell_type": "code", "execution_count": 126, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 126, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x_spaced, np.sin(x_spaced), marker='o', color='red', linestyle='None')" ] }, { "cell_type": "code", "execution_count": 127, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 127, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x_spaced, np.sin(x_spaced), 'ro') #specify color and marker in one go!" ] }, { "cell_type": "code", "execution_count": 128, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 128, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x_spaced, np.sin(x_spaced), 'ro', ls='-',lw=3.5)\n", "plt.plot(x_spaced, np.cos(x_spaced), 'gs', ls='--',alpha=0.3)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Line Styles\n", "---\n", "* '-' solid line style\n", "* '--' dashed line style\n", "* '-.' dash-dot line style\n", "* ':' dotted line style" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Point symbols\n", "---\n", "* '.' point marker\n", "* ',' pixel marker\n", "* 'o' circle marker\n", "* 'v' triangle_down marker\n", "* '^' triangle_up marker\n", "* '<' triangle_left marker\n", "* '>' triangle_right marker\n", "* '1' tri_down marker\n", "* '2' tri_up marker\n", "* '3' tri_left marker\n", "* '4' tri_right marker\n", "* 's' square marker\n", "* 'p' pentagon marker\n", "* '*' star marker\n", "* 'h' hexagon1 marker\n", "* 'H' hexagon2 marker\n", "* '+' plus marker\n", "* 'x' x marker\n", "* 'D' diamond marker\n", "* 'd' thin_diamond marker\n", "* '|' vline marker\n", "* '_' hline marker\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Colours\n", "---\n", "* 'b' blue\n", "* 'g' green\n", "* 'r' red\n", "* 'c' cyan\n", "* 'm' magenta\n", "* 'y' yellow\n", "* 'k' black\n", "* 'w' white\n", "* '#ff0000' RGB codes\n", "* '(0,1,0,1)' RGB + alpha (transparency)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Adding a Legend" ] }, { "cell_type": "code", "execution_count": 129, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 129, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y, label='Sine(x)')\n", "plt.plot(x, np.cos(x))\n", "y_scatter = y+np.random.normal(0.0, 0.1, len(x))\n", "plt.plot(x, y_scatter, ls='None', marker='.', label='Fake data with scatter')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "*np.random.normal()* generated len(x) data points with mean 0.0 and sigma 0.1. " ] }, { "cell_type": "code", "execution_count": 130, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 130, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(x, y, label='Sine(x)'); plt.plot(x, np.cos(x))\n", "y_scatter = y+np.random.normal(0.0, 0.1, len(x))\n", "plt.plot(x, y_scatter, ls='None', marker=',', label='Fake data with scatter')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "Note that we did not add a \"label\" keyword in the cos(x) plot, so that is not listed in the legend" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Error bars" ] }, { "cell_type": "code", "execution_count": 131, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 131, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "y_error = np.random.normal(0.0, 0.2, len(x_spaced))\n", "x_error = np.repeat(0.1, len(x_spaced))\n", "plt.errorbar(x_spaced, np.sin(x_spaced), yerr=y_error,xerr=x_error,marker='s',ecolor='r')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Autoscaling of axes" ] }, { "cell_type": "code", "execution_count": 132, "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 132, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mjd = [56705.7130824, 56705.7245194, 56705.7558403, 56705.7591719, 56705.7784380,56705.8334423, \n", " 56705.9293922, 56705.9611691, 56705.9814212, 56706.0066355]\n", "# continuing on next line is okay\n", "magnitude = [18.03, 18.32, 17.89, 18.12, 18.12, 17.97, 18.44, 18.28, 18.25, 18.61]\n", "magerr = [0.13, 0.10, 0.08, 0.13, 0.13, 0.14, 0.05, 0.10, 0.09, 0.08]\n", "plt.errorbar(mjd, magnitude, yerr=magerr,color='#ff8800',lw=3)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "Note the X axis: Matplotlib has automatically subtracted a constant and made the plot more readable." ] }, { "cell_type": "code", "execution_count": 133, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "ename": "SyntaxError", "evalue": "positional argument follows keyword argument (, line 1)", "output_type": "error", "traceback": [ "\u001b[0;36m File \u001b[0;32m\"\"\u001b[0;36m, line \u001b[0;32m1\u001b[0m\n\u001b[0;31m plt.errorbar(mjd, magnitude, yerr=magerr, 'ro') # does not work\u001b[0m\n\u001b[0m ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m positional argument follows keyword argument\n" ] } ], "source": [ "plt.errorbar(mjd, magnitude, yerr=magerr, 'ro') # does not work" ] }, { "cell_type": "code", "execution_count": 134, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 134, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# instead of shorthand, give the full command\n", "plt.errorbar(mjd, magnitude, yerr=magerr, marker='o', color='r', ecolor='g', ls='None')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "Note: Y axis is still flipped. Higher magnitude is fainter, so it should be plotted below." ] }, { "cell_type": "code", "execution_count": 135, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Y axis flipped, X label offset removed')" ] }, "execution_count": 135, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.errorbar(mjd, magnitude, yerr=magerr, marker='o', color='#ff9900', ecolor='g', ls='None')\n", "ymin, ymax = plt.ylim()\n", "plt.ylim(ymax, ymin)\n", "plt.ticklabel_format(useOffset=False)\n", "plt.title(\"Y axis flipped, X label offset removed\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "X axis labels: the offset is not subtracted anymore, but now labels are hard to read." ] }, { "cell_type": "code", "execution_count": 136, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'X labels rotated to become more readable')" ] }, "execution_count": 136, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.errorbar(mjd, magnitude, yerr=magerr, marker='o', color='r', ecolor='g', ls='None')\n", "ymin, ymax = plt.ylim()\n", "plt.ylim(ymax, ymin)\n", "plt.ticklabel_format(useOffset=False)\n", "plt.xticks(rotation=45)\n", "plt.title(\"X labels rotated to become more readable\")" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Scatter plots\n", "===" ] }, { "cell_type": "code", "execution_count": 137, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#print (plt.style.available)\n", "plt.style.use('Solarize_Light2')\n", "dist1=np.random.normal(0.,1.,200)\n", "dist2=np.random.normal(0.,1.,200)\n", "plt.scatter(dist1,dist2,c='r',marker='^',alpha=0.8)\n", "plt.style.use('default') " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Histogram\n", "===" ] }, { "cell_type": "code", "execution_count": 138, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dist1 = np.random.normal(0.,1.,100000) #mean 0., std. devn = 1., N sized array\n", "n,bins,patches= plt.hist(dist1,bins=100,color='k',density=True,histtype='step')\n", "plt.grid()\n", "plt.savefig('normaldistribution.png')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Subplots\n", "===" ] }, { "cell_type": "code", "execution_count": 139, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def f(t):\n", " return np.exp(-t) * np.cos(2*np.pi*t)\n", "t1 = np.arange(0.0, 5.0, 0.1)\n", "t2 = np.arange(0.0, 5.0, 0.02)\n", "\n", "plt.rcParams['figure.figsize'] = (3,3)\n", "plt.subplot(221); plt.plot(t1, f(t1), 'bo', t2, f(t2), 'k')\n", "plt.subplot(222); plt.plot(t2, np.cos(2*np.pi*t2), 'r--')\n", "plt.subplot(223); plt.plot(t2,np.sin(2.*np.pi*t2),'g-.')\n", "plt.subplot(224); plt.plot(t2,t2**2,'r-')\n", "\n", "plt.savefig('subplots.png'); plt.savefig('subplots.eps'); plt.savefig('subplots.svg')" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Contour plots\n", "===" ] }, { "cell_type": "code", "execution_count": 140, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 140, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def f(x,y):\n", " return (1 - x / 2 + x**5 + y**3) * np.exp(-x**2 -y**2)\n", "n = 256; x = np.linspace(-3, 3, n); y = np.linspace(-3, 3, n)\n", "X,Y = np.meshgrid(x, y)\n", "plt.axes([0.025, 0.025, 0.95, 0.95])\n", "plt.contourf(X, Y, f(X, Y), 8, alpha=.75, cmap=plt.cm.hot)\n", "C = plt.contour(X, Y, f(X, Y), 8, colors='black', linewidths=.5)\n", "plt.clabel(C, inline=1, fontsize=20)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "3D plotting with mplot3d\n", "===" ] }, { "cell_type": "code", "execution_count": 144, "metadata": { "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 144, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#See: https://matplotlib.org/stable/gallery/mplot3d/surface3d_radial.html\n", "from mpl_toolkits.mplot3d import Axes3D\n", "fig = plt.figure(figsize=(5, 3.5)) # OOP syntax\n", "ax = fig.add_subplot(111, projection='3d')\n", "r = np.linspace(0,1.25,50) # create supporting points in polar coordinates\n", "p = np.linspace(0,2*np.pi,50)\n", "R,P = np.meshgrid(r,p)\n", "X,Y = R*np.cos(P),R*np.sin(P) # transform them to cartesian system\n", "Z = ((R**2 - 1)**2)\n", "ax.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=plt.cm.hot)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# OOP versus functional style matplotlib calls\n", "\n", "In this talk, I have mostly used the functional programming style syntax, since that may be more familiar to those of you with programming experience with other languages. But you may want to use the OOP style if you prefer.\n", "\n", "The OOP approach will definitely make life easier if you have very complicated plots eg. a plot with many subfigures." ] }, { "cell_type": "code", "execution_count": 142, "metadata": { "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'This is my first OOP style plot')" ] }, "execution_count": 142, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Generate some test data\n", "x = np.arange(0, 6.28, 0.01)\n", "y = np.sin(x)\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "ax.plot(x,y)\n", "ax.set_xlabel(\"theta (angle in radians)\")\n", "ax.set_ylabel('sin(theta)')\n", "ax.set_title(\"This is my first OOP style plot\")\n" ] }, { "cell_type": "code", "execution_count": 143, "metadata": { "scrolled": true, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(6, 6))\n", "gs = plt.GridSpec(3, 3)\n", "ax1 = fig.add_subplot(gs[0, :])\n", "ax2 = fig.add_subplot(gs[1, :2])\n", "ax3 = fig.add_subplot(gs[1:, 2])\n", "ax4 = fig.add_subplot(gs[2, 0])\n", "ax5 = fig.add_subplot(gs[2, 1])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "This talk was a quick tour of matplotlib\n", "---\n", "\n", "Many aspects could not be covered in the short time available. Matplotlib is learnt quickest by trying the examples.\n", "---\n", "\n", "1. Browse demos here: https://matplotlib.org/stable/gallery/index.html\n", "2. Find the plot that is closest to your requirement\n", "3. Modify the code to suit your requirement\n", "4. **Remember: making good plots takes a lot of time and effort. Look at nice examples in papers you read.**\n", "\n", "What I have not covered: **aplpy** APLpy (the Astronomical Plotting Library in Python) is a Python module aimed at producing publication-quality plots of astronomical imaging data in FITS format. For complete control of complicated astronomical images use **WCSAxes** from astropy\n", "\n", "**Seaborn** is a powerful module built on top of matplotlib and creates very aesthetic figures. You could use it to produce the final figures for your paper.\n" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 1 }