Animations Using clear_output.ipynb
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r6463 | { | |
"metadata": { | |||
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r11536 | "name": "" | |
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r6463 | }, | |
"nbformat": 3, | |||
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r7739 | "nbformat_minor": 0, | |
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r6463 | "worksheets": [ | |
{ | |||
"cells": [ | |||
{ | |||
"cell_type": "heading", | |||
"level": 1, | |||
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r7739 | "metadata": {}, | |
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r6463 | "source": [ | |
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r9193 | "Simple animations Using clear_output" | |
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r6463 | ] | |
}, | |||
{ | |||
"cell_type": "markdown", | |||
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r7739 | "metadata": {}, | |
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r6463 | "source": [ | |
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r11536 | "Sometimes you want to clear the output area in the middle of a calculation. This can be useful for doing simple animations. In terminals, there is the carriage-return (`'\\r'`) for overwriting a single line, but the notebook frontend can clear the whole output area, not just a single line.\n", | |
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r7739 | "\n", | |
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r9193 | "To clear output in the Notebook you can use the `clear_output` function." | |
] | |||
}, | |||
{ | |||
"cell_type": "heading", | |||
"level": 2, | |||
"metadata": {}, | |||
"source": [ | |||
"Simple example" | |||
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r6463 | ] | |
}, | |||
{ | |||
"cell_type": "markdown", | |||
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r7739 | "metadata": {}, | |
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r6463 | "source": [ | |
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r9193 | "Here we show our progress iterating through a list:" | |
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r6463 | ] | |
}, | |||
{ | |||
"cell_type": "code", | |||
"collapsed": true, | |||
"input": [ | |||
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r7739 | "import sys\n", | |
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r6463 | "import time" | |
], | |||
"language": "python", | |||
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r7739 | "metadata": {}, | |
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r9193 | "outputs": [], | |
"prompt_number": 1 | |||
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r6463 | }, | |
{ | |||
"cell_type": "code", | |||
"collapsed": false, | |||
"input": [ | |||
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r11536 | "from IPython.display import display, clear_output\n", | |
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r7739 | "for i in range(10):\n", | |
" time.sleep(0.25)\n", | |||
" clear_output()\n", | |||
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r9196 | " print(i)\n", | |
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r6463 | " sys.stdout.flush()" | |
], | |||
"language": "python", | |||
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r7739 | "metadata": {}, | |
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r9193 | "outputs": [ | |
{ | |||
"output_type": "stream", | |||
"stream": "stdout", | |||
"text": [ | |||
"9\n" | |||
] | |||
} | |||
], | |||
"prompt_number": 2 | |||
}, | |||
{ | |||
"cell_type": "heading", | |||
"level": 2, | |||
"metadata": {}, | |||
"source": [ | |||
"AsyncResult.wait_interactive" | |||
] | |||
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r6463 | }, | |
{ | |||
"cell_type": "markdown", | |||
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r7739 | "metadata": {}, | |
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r6463 | "source": [ | |
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r7739 | "The AsyncResult object has a special `wait_interactive()` method, which prints its progress interactively,\n", | |
"so you can watch as your parallel computation completes.\n", | |||
"\n", | |||
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r11536 | "**This example assumes you have an IPython cluster running, which you can start from the [cluster panel](/#clusters)**" | |
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r6463 | ] | |
}, | |||
{ | |||
"cell_type": "code", | |||
"collapsed": false, | |||
"input": [ | |||
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r7739 | "from IPython import parallel\n", | |
"rc = parallel.Client()\n", | |||
"view = rc.load_balanced_view()\n", | |||
"\n", | |||
"amr = view.map_async(time.sleep, [0.5]*100)\n", | |||
"\n", | |||
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r6463 | "amr.wait_interactive()" | |
], | |||
"language": "python", | |||
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r7739 | "metadata": {}, | |
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r9193 | "outputs": [ | |
{ | |||
"output_type": "stream", | |||
"stream": "stdout", | |||
"text": [ | |||
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r11536 | " 100/100 tasks finished after 6 s" | |
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r9193 | ] | |
}, | |||
{ | |||
"output_type": "stream", | |||
"stream": "stdout", | |||
"text": [ | |||
"\n", | |||
"done\n" | |||
] | |||
} | |||
], | |||
"prompt_number": 3 | |||
}, | |||
{ | |||
"cell_type": "heading", | |||
"level": 2, | |||
"metadata": {}, | |||
"source": [ | |||
"Matplotlib example" | |||
] | |||
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r6463 | }, | |
{ | |||
"cell_type": "markdown", | |||
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r7739 | "metadata": {}, | |
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r6463 | "source": [ | |
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r9193 | "You can also use `clear_output()` to clear figures and plots." | |
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r6463 | ] | |
}, | |||
{ | |||
"cell_type": "code", | |||
"collapsed": false, | |||
"input": [ | |||
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r11536 | "%matplotlib inline\n", | |
"import numpy as np\n", | |||
"import matplotlib.pyplot as plt" | |||
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r6463 | ], | |
"language": "python", | |||
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r7739 | "metadata": {}, | |
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r11536 | "outputs": [], | |
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r9193 | "prompt_number": 4 | |
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r6463 | }, | |
{ | |||
"cell_type": "code", | |||
"collapsed": false, | |||
"input": [ | |||
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r7739 | "from scipy.special import jn\n", | |
"x = np.linspace(0,5)\n", | |||
"f, ax = plt.subplots()\n", | |||
"ax.set_title(\"Bessel functions\")\n", | |||
"\n", | |||
"for n in range(1,10):\n", | |||
" time.sleep(1)\n", | |||
" ax.plot(x, jn(x,n))\n", | |||
" clear_output()\n", | |||
" display(f)\n", | |||
"\n", | |||
"# close the figure at the end, so we don't get a duplicate\n", | |||
"# of the last plot\n", | |||
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r6463 | "plt.close()" | |
], | |||
"language": "python", | |||
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r7739 | "metadata": {}, | |
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r9193 | "outputs": [ | |
{ | |||
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r11536 | "metadata": {}, | |
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r9193 | "output_type": "display_data", | |
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r11536 | "png": 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IIYTo8yRodTAPBz2vzI5ie24NnxwsRlVVa5ckhBBCCCuRoNUJPBz0vDorip2nJGwJIYQQ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\nLBZz0003XfZ4vRVaDbXt7P3tHMamekQt8b/uQbP9hVSu5OOTpZQ2i1k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DdZvvY4rfXBaO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EY9OR3nkGCavfakSW27HdklOl7ZEMPE8Mb0a27+BQR3w4ajv3L44g5mPfwddnLTXRjPHE/lwI5Y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\nxJmESq2R1zdnsiG1lHnjohgd49WgFyuZQkG7h2+n7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| |
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r9193 | "text": [ | |
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r11536 | "<matplotlib.figure.Figure at 0x10f01b310>" | |
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r9193 | ] | |
} | |||
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r6463 | ], | |
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r9193 | "prompt_number": 5 | |
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r6463 | } | |
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r7739 | ], | |
"metadata": {} | |||
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r6463 | } | |
] | |||
} |