mirror of
https://github.com/rasbt/python_reference.git
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954 lines
49 KiB
Plaintext
954 lines
49 KiB
Plaintext
{
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"metadata": {
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"name": "",
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"signature": "sha256:68e419b336c43b3a5f99d948a5148ad6a7da83f9796fdc45c9132c236a5a43bc"
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},
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"nbformat": 3,
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"nbformat_minor": 0,
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"worksheets": [
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{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"[Sebastian Raschka](http://sebastianraschka.com) \n",
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"\n",
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"- [Open in IPython nbviewer](http://nbviewer.ipython.org/github/rasbt/python_reference/blob/master/tutorials/awesome_things_ipynb?create=1) \n",
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"\n",
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"- [Link to this IPython notebook on Github](https://github.com/rasbt/python_reference/blob/master/tutorials/awesome_things_ipynb.ipynb) \n",
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"\n",
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"- [Link to the GitHub Repository python_reference](https://github.com/rasbt/python_reference/)"
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"import time\n",
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"import platform\n",
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"print('Last updated: %s' %time.strftime('%d/%m/%Y'))\n",
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"print('Created using Python', platform.python_version())"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"Last updated: 27/06/2014\n",
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"Created using Python 3.4.1\n"
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]
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}
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],
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"prompt_number": 37
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<hr>\n",
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"I would be happy to hear your comments and suggestions. \n",
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"Please feel free to drop me a note via\n",
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"[twitter](https://twitter.com/rasbt), [email](mailto:bluewoodtree@gmail.com), or [google+](https://plus.google.com/+SebastianRaschka).\n",
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"<hr>"
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]
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},
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{
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"cell_type": "heading",
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"level": 1,
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"metadata": {},
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"source": [
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"Awesome things that you can do in IPython Notebooks (in progress)"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<br>\n",
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"<br>"
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]
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},
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{
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"cell_type": "heading",
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"level": 2,
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"metadata": {},
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"source": [
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"Writing local files"
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"%%file hello.py\n",
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"def func_inside_script(x, y):\n",
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" return x + y\n",
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"print('Hello World')"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"Writing hello.py\n"
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]
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}
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],
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"prompt_number": 13
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<br>\n",
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"<br>"
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]
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},
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{
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"cell_type": "heading",
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"level": 2,
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"metadata": {},
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"source": [
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"Running Python scripts"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"We can run Python scripts in IPython via the %run magic command. For example, the Python script that we created in the [Writing local files](#Writing-local-files) section."
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"%run hello.py"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"Hello World\n"
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]
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}
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],
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"prompt_number": 14
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"func_inside_script(1, 2)"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"metadata": {},
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"output_type": "pyout",
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"prompt_number": 16,
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"text": [
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"3"
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]
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}
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],
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"prompt_number": 16
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<br>\n",
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"<br>"
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]
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},
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{
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"cell_type": "heading",
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"level": 2,
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"metadata": {},
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"source": [
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"Benchmarking"
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"%timeit [x**2 for x in range(100)] "
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"10000 loops, best of 3: 38.8 \u00b5s per loop\n"
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]
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}
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],
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"prompt_number": 4
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"%timeit -r 5 -n 100 [x**2 for x in range(100)] "
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"100 loops, best of 5: 39 \u00b5s per loop\n"
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]
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}
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],
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"prompt_number": 3
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<br>\n",
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"<br>"
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]
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},
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{
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"cell_type": "heading",
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"level": 2,
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"metadata": {},
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"source": [
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"Using system shell commands"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"By prepending a \"`!`\" we can conveniently execute most of the system shell commands, below are just a few examples."
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"my_dir = 'new_dir'\n",
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"!mkdir $my_dir\n",
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"!pwd\n",
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"!touch $my_dir'/some.txt'\n",
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"!ls -l './new_dir'\n",
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"!ls -l $my_dir | wc -l"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"/Users/sebastian/Desktop\r\n"
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]
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},
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"total 0\r\n",
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"-rw-r--r-- 1 sebastian staff 0 Jun 27 10:11 some.txt\r\n"
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]
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},
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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" 2\r\n"
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]
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}
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],
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"prompt_number": 12
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<br>\n",
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"<br>"
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]
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},
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{
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"cell_type": "heading",
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"level": 2,
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"metadata": {},
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"source": [
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"Debugging"
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"def some_func():\n",
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" var = 'hello world'\n",
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" for i in range(5):\n",
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" print(i)\n",
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" i / 0\n",
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" return 'finished'"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 1
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"%debug\n",
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"some_func()"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"output_type": "stream",
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"stream": "stdout",
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"text": [
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"> \u001b[0;32m<ipython-input-1-3d5f00f75cf4>\u001b[0m(5)\u001b[0;36msome_func\u001b[0;34m()\u001b[0m\n",
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"\u001b[0;32m 4 \u001b[0;31m \u001b[0mprint\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mi\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0m\u001b[0;32m----> 5 \u001b[0;31m \u001b[0mi\u001b[0m \u001b[0;34m/\u001b[0m \u001b[0;36m0\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0m\u001b[0;32m 6 \u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0;34m'finished'\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
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"\u001b[0m\n"
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]
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}
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<br>\n",
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"<br>"
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]
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},
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{
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"cell_type": "heading",
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"level": 2,
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"metadata": {},
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"source": [
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"Inline Plotting with matplotlib"
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]
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"%matplotlib inline"
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],
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"language": "python",
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"metadata": {},
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"outputs": [],
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"prompt_number": 33
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},
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{
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"cell_type": "code",
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"collapsed": false,
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"input": [
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"import numpy as np\n",
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"from matplotlib import pyplot as plt\n",
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"import math\n",
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"\n",
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"def pdf(x, mu=0, sigma=1):\n",
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" \"\"\"Calculates the normal distribution's probability density \n",
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" function (PDF). \n",
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" \n",
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" \"\"\"\n",
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" term1 = 1.0 / ( math.sqrt(2*np.pi) * sigma )\n",
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" term2 = np.exp( -0.5 * ( (x-mu)/sigma )**2 )\n",
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" return term1 * term2\n",
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"\n",
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"\n",
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"x = np.arange(0, 100, 0.05)\n",
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"\n",
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"pdf1 = pdf(x, mu=5, sigma=2.5**0.5)\n",
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"pdf2 = pdf(x, mu=10, sigma=6**0.5)\n",
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"\n",
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"plt.plot(x, pdf1)\n",
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"plt.plot(x, pdf2)\n",
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"plt.title('Probability Density Functions')\n",
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"plt.ylabel('p(x)')\n",
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"plt.xlabel('random variable x')\n",
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"plt.legend(['pdf1 ~ N($\\mu=5$, $\\sigma=2.5$)', 'pdf2 ~ N($\\mu=10$, $\\sigma=6$)'], loc='upper right')\n",
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"plt.ylim([0,0.5])\n",
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"plt.xlim([0,20])\n",
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"\n",
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"plt.show()"
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],
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"language": "python",
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"metadata": {},
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"outputs": [
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{
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"metadata": {},
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"output_type": "display_data",
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"png": 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QJUdSUpJSrVo1JSUlRZX1P9OgQQPl1KlT2XrNy7672f1OG62FYGlpSUhICAEB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\nBINBBgcHc9pYX19PJBLhzJkzJBIJ73nAp0+f2L9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"text": [
|
|
"<matplotlib.figure.Figure at 0x107e67080>"
|
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]
|
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}
|
|
],
|
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"prompt_number": 36
|
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},
|
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{
|
|
"cell_type": "markdown",
|
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"metadata": {},
|
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"source": [
|
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"<br>\n",
|
|
"<br>"
|
|
]
|
|
},
|
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{
|
|
"cell_type": "heading",
|
|
"level": 2,
|
|
"metadata": {},
|
|
"source": [
|
|
"C-extensions via the Cython magic"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
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"source": [
|
|
"Cython (see [Cython's C-extensions for Python](http://cython.org)) is basically a hybrid between C and Python and can be pictured as compiled Python code with type declarations.\n",
|
|
"Since we are working in an IPython notebook here, we can make use of the very convenient IPython magic: It will take care of the conversion to C code, the compilation, and eventually the loading of the function.\n",
|
|
"Also, we are adding C type declarations; those type declarations are not necessary for using Cython, however, it will improve the performance of our code significantly."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%load_ext cythonmagic"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 29
|
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},
|
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{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
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"input": [
|
|
"%%cython\n",
|
|
"import numpy as np\n",
|
|
"cimport numpy as np\n",
|
|
"cimport cython\n",
|
|
"@cython.boundscheck(False) \n",
|
|
"@cython.wraparound(False)\n",
|
|
"@cython.cdivision(True)\n",
|
|
"cpdef cython_lstsqr(x_ary, y_ary):\n",
|
|
" \"\"\" Computes the least-squares solution to a linear matrix equation. \"\"\"\n",
|
|
" cdef double x_avg, y_avg, var_x, cov_xy,\\\n",
|
|
" slope, y_interc, temp\n",
|
|
" cdef double[:] x = x_ary # memoryview\n",
|
|
" cdef double[:] y = y_ary\n",
|
|
" cdef unsigned long N, i\n",
|
|
" \n",
|
|
" N = x.shape[0]\n",
|
|
" x_avg = 0\n",
|
|
" y_avg = 0\n",
|
|
" for i in range(N):\n",
|
|
" x_avg += x[i]\n",
|
|
" y_avg += y[i]\n",
|
|
" x_avg = x_avg/N\n",
|
|
" y_avg = y_avg/N\n",
|
|
" var_x = 0\n",
|
|
" cov_xy = 0\n",
|
|
" for i in range(N):\n",
|
|
" temp = (x[i] - x_avg)\n",
|
|
" var_x += temp**2\n",
|
|
" cov_xy += temp*(y[i] - y_avg)\n",
|
|
" slope = cov_xy / var_x\n",
|
|
" y_interc = y_avg - slope*x_avg\n",
|
|
" return (slope, y_interc)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"building '_cython_magic_cf6c91cb1e11de8d2dbe7d9178e469df' extension\n"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"C compiler: /usr/bin/clang -fno-strict-aliasing -Werror=declaration-after-statement -DNDEBUG -g -fwrapv -O3 -Wall -Wstrict-prototypes -I/Users/sebastian/miniconda3/envs/py34/include -arch x86_64\n",
|
|
"\n"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"compile options: '-I/Users/sebastian/miniconda3/envs/py34/lib/python3.4/site-packages/numpy/core/include -I/Users/sebastian/miniconda3/envs/py34/include/python3.4m -c'\n"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"clang: /Users/sebastian/.ipython/cython/_cython_magic_cf6c91cb1e11de8d2dbe7d9178e469df.c\n"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"/usr/bin/clang -bundle -undefined dynamic_lookup -L/Users/sebastian/miniconda3/envs/py34/lib -arch x86_64 /Users/sebastian/.ipython/cython/Users/sebastian/.ipython/cython/_cython_magic_cf6c91cb1e11de8d2dbe7d9178e469df.o -L/Users/sebastian/miniconda3/envs/py34/lib -o /Users/sebastian/.ipython/cython/_cython_magic_cf6c91cb1e11de8d2dbe7d9178e469df.so\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 30
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"import numpy as np\n",
|
|
"\n",
|
|
"x_ary = np.array([x_i*np.random.randint(8,12)/10 for x_i in range(100)])\n",
|
|
"y_ary = np.array([y_i*np.random.randint(10,14)/10 for y_i in range(100)])"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 31
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"cython_lstsqr(x_ary, y_ary)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 32,
|
|
"text": [
|
|
"(1.1399825800539194, 2.0824398156005444)"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 32
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"<br>\n",
|
|
"<br>"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "heading",
|
|
"level": 2,
|
|
"metadata": {},
|
|
"source": [
|
|
"Running Fortran Code"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"There is also a convenient IPython magic command for compiling Fortran code. The Fortran magic uses NumPy's [F2PY](http://www.f2py.com) module for compiling and running the Fortran code. For more information, please see the ['Fortran magic's documentation'](http://nbviewer.ipython.org/github/mgaitan/fortran_magic/blob/master/documentation.ipynb)."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%install_ext https://raw.github.com/mgaitan/fortran_magic/master/fortranmagic.py"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"Installed fortranmagic.py. To use it, type:\n",
|
|
" %load_ext fortranmagic\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 17
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%load_ext fortranmagic"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"javascript": [
|
|
"$.getScript(\"https://raw.github.com/marijnh/CodeMirror/master/mode/fortran/fortran.js\", function () {\n",
|
|
"IPython.config.cell_magic_highlight['magic_fortran'] = {'reg':[/^%%fortran/]};});\n"
|
|
],
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"prompt_number": 18
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%%fortran\n",
|
|
"SUBROUTINE fortran_lstsqr(ary_x, ary_y, slope, y_interc)\n",
|
|
" ! Computes the least-squares solution to a linear matrix equation. \"\"\"\n",
|
|
" IMPLICIT NONE\n",
|
|
" REAL(8), INTENT(in), DIMENSION(:) :: ary_x, ary_y\n",
|
|
" REAL(8), INTENT(out) :: slope, y_interc\n",
|
|
" REAL(8) :: x_avg, y_avg, var_x, cov_xy, temp\n",
|
|
" INTEGER(8) :: N, i\n",
|
|
" \n",
|
|
" N = SIZE(ary_x)\n",
|
|
"\n",
|
|
" x_avg = SUM(ary_x) / N\n",
|
|
" y_avg = SUM(ary_y) / N\n",
|
|
" var_x = 0\n",
|
|
" cov_xy = 0\n",
|
|
" \n",
|
|
" DO i = 1, N\n",
|
|
" temp = ary_x(i) - x_avg\n",
|
|
" var_x = var_x + temp**2\n",
|
|
" cov_xy = cov_xy + (temp*(ary_y(i) - y_avg))\n",
|
|
" END DO\n",
|
|
" \n",
|
|
" slope = cov_xy / var_x\n",
|
|
" y_interc = y_avg - slope*x_avg\n",
|
|
"\n",
|
|
"END SUBROUTINE fortran_lstsqr"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"\tBuilding module \"_fortran_magic_a044885f2b0c0feac78a230b6b714e2b\"...\n",
|
|
"\t\tConstructing wrapper function \"fortran_lstsqr\"...\n",
|
|
"\t\t slope,y_interc = fortran_lstsqr(ary_x,ary_y)\n",
|
|
"\tWrote C/API module \"_fortran_magic_a044885f2b0c0feac78a230b6b714e2b\" to file \"/var/folders/bq/_946cdn92t7bqzz5frpfpw7r0000gp/T/tmp3y_jxtl_/src.macosx-10.5-x86_64-3.4/_fortran_magic_a044885f2b0c0feac78a230b6b714e2bmodule.c\"\n",
|
|
"\tFortran 77 wrappers are saved to \"/var/folders/bq/_946cdn92t7bqzz5frpfpw7r0000gp/T/tmp3y_jxtl_/src.macosx-10.5-x86_64-3.4/_fortran_magic_a044885f2b0c0feac78a230b6b714e2b-f2pywrappers.f\"\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 22
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"import numpy as np\n",
|
|
"\n",
|
|
"x_ary = np.array([x_i*np.random.randint(8,12)/10 for x_i in range(100)])\n",
|
|
"y_ary = np.array([y_i*np.random.randint(10,14)/10 for y_i in range(100)])"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 23
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"fortran_lstsqr(x_ary, y_ary)"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"metadata": {},
|
|
"output_type": "pyout",
|
|
"prompt_number": 25,
|
|
"text": [
|
|
"(1.1313508052697814, 3.681685640167956)"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 25
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"<br>\n",
|
|
"<br>"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "heading",
|
|
"level": 2,
|
|
"metadata": {},
|
|
"source": [
|
|
"Running code from other interpreters: Ruby, Perl, and Bash"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"To use any interpreter that is installed on your system:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%%script perl\n",
|
|
"print 'Hello, World!';"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"Hello, World!"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 44
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Or use the magic command for the respective interpreter directly:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%%perl\n",
|
|
"print 'Hello, World!';"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"Hello, World!"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 45
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%%ruby\n",
|
|
"puts \"Hello, World!\""
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"Hello, World!\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 46
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%%bash\n",
|
|
"echo \"Hello World!\""
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"Hello World!\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 47
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%%script R --no-save\n",
|
|
"cat(\"Goodbye, World!\\n\")"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"\n",
|
|
"R version 3.0.2 (2013-09-25) -- \"Frisbee Sailing\"\n",
|
|
"Copyright (C) 2013 The R Foundation for Statistical Computing\n",
|
|
"Platform: x86_64-apple-darwin10.8.0 (64-bit)\n",
|
|
"\n",
|
|
"R is free software and comes with ABSOLUTELY NO WARRANTY.\n",
|
|
"You are welcome to redistribute it under certain conditions.\n",
|
|
"Type 'license()' or 'licence()' for distribution details.\n",
|
|
"\n",
|
|
" Natural language support but running in an English locale\n",
|
|
"\n",
|
|
"R is a collaborative project with many contributors.\n",
|
|
"Type 'contributors()' for more information and\n",
|
|
"'citation()' on how to cite R or R packages in publications.\n",
|
|
"\n",
|
|
"Type 'demo()' for some demos, 'help()' for on-line help, or\n",
|
|
"'help.start()' for an HTML browser interface to help.\n",
|
|
"Type 'q()' to quit R.\n",
|
|
"\n",
|
|
"> cat(\"Goodbye, World!\\n\")\n",
|
|
"Goodbye, World!\n",
|
|
"> \n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 55
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"def hello_world():\n",
|
|
" \"\"\"This is a hello world example function.\"\"\"\n",
|
|
" print('Hello, World!')"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 7
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%pdoc hello_world"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"prompt_number": 9
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%pdef hello_world"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
" \u001b[0mhello_world\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
|
|
" "
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 10
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"%psource math.mean()"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"stream": "stdout",
|
|
"text": [
|
|
"Object `math.mean()` not found.\n"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 15
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [
|
|
"from math import sqrt"
|
|
],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"ename": "ImportError",
|
|
"evalue": "cannot import name 'mean'",
|
|
"output_type": "pyerr",
|
|
"traceback": [
|
|
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m\n\u001b[0;31mImportError\u001b[0m Traceback (most recent call last)",
|
|
"\u001b[0;32m<ipython-input-16-fdd1a06c836a>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0;32mfrom\u001b[0m \u001b[0mmath\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mmean\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
|
|
"\u001b[0;31mImportError\u001b[0m: cannot import name 'mean'"
|
|
]
|
|
}
|
|
],
|
|
"prompt_number": 16
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"collapsed": false,
|
|
"input": [],
|
|
"language": "python",
|
|
"metadata": {},
|
|
"outputs": []
|
|
}
|
|
],
|
|
"metadata": {}
|
|
}
|
|
]
|
|
} |