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@adgaudio
Last active August 29, 2015 14:01
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Demo - R Python Spark.ipynb
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{
"metadata": {
"name": "",
"signature": "sha256:23cbe665a82cba616aa8b1f14f80520b38751d9dd4acf6738dffbf90e75f5479"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook demonstrates how we can integrate several tools into one place: bash scripting, python and Spark, and R.\n",
"----\n",
" - Detailed information about the R and python integration: http://ipython.org/ipython-doc/dev/config/extensions/rmagic.html"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Using matplotlib backend: TkAgg\n",
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 1
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"We can execute bash directly on the local machine by prepending commands with a \"!\""
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#This command creates a file with one random number per line\n",
"!openssl rand -hex 1500 | fold -w 4 | cat -n > /tmp/testfile.txt\n",
"!head /tmp/testfile.txt"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" 1\t0e67\r\n",
" 2\tc33b\r\n",
" 3\t6433\r\n",
" 4\t119c\r\n",
" 5\t4966\r\n",
" 6\t13ba\r\n",
" 7\t8f26\r\n",
" 8\t8410\r\n",
" 9\t9d06\r\n",
" 10\taba2\r\n"
]
}
],
"prompt_number": 2
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Let's \"crunch\" that file using Spark"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pyspark\n",
"sc = pyspark.SparkContext(\"local[2]\", \"R Python Spark integration\")"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"spark_data = sc.textFile('/tmp/testfile.txt').map(lambda x: (int(x.split()[0]), int(x.split()[1], 16))).collect()\n",
"spark_data[:10]"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 4,
"text": [
"[(1, 3687),\n",
" (2, 49979),\n",
" (3, 25651),\n",
" (4, 4508),\n",
" (5, 18790),\n",
" (6, 5050),\n",
" (7, 36646),\n",
" (8, 33808),\n",
" (9, 40198),\n",
" (10, 43938)]"
]
}
],
"prompt_number": 4
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"And finally, we can view results with our R tools."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Load R extensions (you may need to pip install rpy2\n",
"%load_ext rmagic"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%R\n",
"library(ggplot2)\n",
"ggplot(data=diamonds, aes(x=carat, y=price, colour=clarity)) +\n",
" geom_point(alpha=0.1) + geom_smooth()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"text": [
"Loading required package: reshape\n",
"Loading required package: plyr\n",
"\n",
"Attaching package: \u2018reshape\u2019\n",
"\n",
"The following object(s) are masked from \u2018package:plyr\u2019:\n",
"\n",
" rename, round_any\n",
"\n",
"Loading required package: grid\n",
"Loading required package: proto\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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oTP4APpqXppACAKQQSEIqZSLpS2Ri6kBkcs6jKAqCADoaYoXhtQ29z5ux/Mcj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\nhNAMhQGNEEIzFAY0QgjNUBjQCCE0Q/1/gAx04LQPS9EAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%R -i spark_data\n",
"df1 <- as.data.frame(spark_data)\n",
"head(df1)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"text": [
" V1 V2\n",
"1 1 3687\n",
"2 2 49979\n",
"3 3 25651\n",
"4 4 4508\n",
"5 5 18790\n",
"6 6 5050\n"
]
}
],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%%R\n",
"qplot(data=df1, x=V1, y=V2, color=V2, size=V1) + geom_smooth()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": 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MEh79Ij3KQVmf2ZJFr1sBAHiXEPSjLeF/66zrpuPDzvSsL+yL4JmMSvv9waIL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\nTkSuQmCC\n"
}
],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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