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@sonalisharma
Created January 6, 2014 18:45
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Matplotlib graphs
{
"metadata": {
"name": ""
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"#%matplotlib osx\n",
"%matplotlib inline\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 103
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Question1"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Reading datasets\n",
"dt = [('frac_followed', np.float64), ('frac_observed', np.float64),('frac_observed_uncertainity', np.float64)]\n",
"efficiencytab = np.loadtxt('Data/Efficiency.txt', dt,skiprows=1)\n",
"puritytab = np.loadtxt('Data/Purity.txt', dt,skiprows=2)\n",
"\n",
"#Finding the intersection points\n",
"dist = abs(efficiencytab['frac_followed']-0.2)\n",
"index = dist.argmin()\n",
"intersection_eff = efficiencytab['frac_observed'][index]\n",
"\n",
"dist = abs(puritytab['frac_followed']-0.2)\n",
"index = dist.argmin()\n",
"intersection_pur = puritytab['frac_observed'][index]"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 104
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Efficiency Plot"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig,ax1 = plt.subplots(figsize=(8,8))\n",
"#Plotting lines\n",
"p1 = ax1.plot(efficiencytab['frac_followed'],efficiencytab['frac_observed'],label=\"Efficiency\",linewidth=2.0,color=\"black\")\n",
"p2 = ax1.plot(efficiencytab['frac_followed'], efficiencytab['frac_observed']+efficiencytab['frac_observed_uncertainity'],color=\"grey\",label=\"Uncertainity\",linewidth=1.0)\n",
"p3 = ax1.plot(efficiencytab['frac_followed'], efficiencytab['frac_observed']-efficiencytab['frac_observed_uncertainity'],color=\"grey\",label=\"Uncertainity\",linewidth=1.0)\n",
"p4 = ax1.plot([min(efficiencytab['frac_followed']),max(efficiencytab['frac_followed'])],\n",
" [min(efficiencytab['frac_observed']),max(efficiencytab['frac_observed'])], color=\"black\",linewidth=1.0)\n",
"\n",
"#Creating vertical line\n",
"ax1.axvline(0.2, ymax = intersection_eff, color='black', lw=2, alpha=0.5,linestyle='--')\n",
"\n",
"#Filling color between lines\n",
"ax1.fill_between(efficiencytab['frac_followed'],efficiencytab['frac_observed']+efficiencytab['frac_observed_uncertainity'], \n",
" efficiencytab['frac_observed']-efficiencytab['frac_observed_uncertainity'], facecolor='grey', interpolate=True)\n",
"\n",
"#Creating titles, labels and annotations\n",
"ax1.set_title(\"Efficiency\",fontsize=18, fontweight='bold')\n",
"ax1.set_xlabel('Fraction of GRBs Followed Up')\n",
"ax1.set_ylabel('Fraction of high(z>4) GRBs observed')\n",
"ax1.annotate('Random Guessing', xy=(0.7, 0.7), xytext=(0.7, 0.3),\n",
" arrowprops=dict(facecolor='black', width=1.0, \n",
" headwidth=7, shrink=0.08))\n",
"ax1.annotate('Follow up of 20% of \\n'\\\n",
" 'bursts to capture ~55% \\n'\\\n",
" 'of high-z events', xy=(0.2, intersection), xytext=(0.4, 0.1),\n",
" arrowprops=dict(facecolor='black', width=0.5, \n",
" headwidth=7, shrink=0.08))\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 105,
"text": [
"<matplotlib.text.Annotation at 0x141fa33d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
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VanW1kNZoNOZgrms2aw+q3lC5uro22mu6uLjA3d0d7u7ucHFxqXES5u7uDl9fX/j4+Nik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3l5eUhJSUFRUZGqozx29uzZg0OHDkFDQ0Phv2k2eXfv3kVZWRny8vJw584drF27FuXl5Zg7d66q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\n02eMMcamCW76jDHG2DTxP2MvCHBj/pEbAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x141f83a10>"
]
}
],
"prompt_number": 105
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Purity Plot"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"fig,ax1 = plt.subplots(figsize=(8,8))\n",
"\n",
"#Creating plots for each lines\n",
"p1 = ax1.plot(puritytab['frac_followed'],puritytab['frac_observed'],label=\"Purity\",linewidth=2.0,color=\"black\")\n",
"p2 = ax1.plot(puritytab['frac_followed'], puritytab['frac_observed']+puritytab['frac_observed_uncertainity'],color=\"grey\",label=\"Uncertainity\",linewidth=1.0)\n",
"p3 = ax1.plot(puritytab['frac_followed'], puritytab['frac_observed']-puritytab['frac_observed_uncertainity'],color=\"grey\",label=\"Uncertainity\",linewidth=1.0)\n",
"\n",
"#Creating vertical and horizontal lines\n",
"ax1.axvline(0.2,ymax = intersection_pur,color='black', lw=2, alpha=0.5,linestyle=\"--\")\n",
"ax1.axhline(18.0/135.0, color='black', lw=2, alpha=0.5)\n",
"\n",
"#Filling color between lines\n",
"ax1.fill_between(puritytab['frac_followed'],puritytab['frac_observed']+puritytab['frac_observed_uncertainity'], \n",
" puritytab['frac_observed']-puritytab['frac_observed_uncertainity'], facecolor='grey', interpolate=True)\n",
"\n",
"#Creating titles, labels and annotations\n",
"ax1.set_title(\"Purity\",fontsize=18, fontweight='bold')\n",
"ax1.set_xlabel('Fraction of GRBs Followed Up')\n",
"ax1.set_ylabel('Percent of observed GRBs that are high z (z>4)')\n",
"ax1.set_ylim([0,1])\n",
"ax1.annotate('Random Guessing', xy=(0.2, 0.4), xytext=(0.2, 0.7),\n",
" arrowprops=dict(facecolor='black', width=1.0, \n",
" headwidth=7, shrink=0.08))\n",
"ax1.annotate('Follow up of 20% of \\n'\\\n",
" 'bursts to capture ~55% \\n'\\\n",
" 'of high-z events', xy=(0.6,18.0/135.0 ), xytext=(0.7, 0.3),\n",
" arrowprops=dict(facecolor='black', width=0.5, \n",
" headwidth=7, shrink=0.08))\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 106,
"text": [
"<matplotlib.text.Annotation at 0x141db6950>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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IREZGatyOylD//fff69Vw9+7dMX/+fOXza9eu4YUXXqhyTEBAAEpKSpRfFrp1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\nUWeMMcZ8xP8AM2EN+ETofrIAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x141d84790>"
]
}
],
"prompt_number": 106
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Question 2"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Reading datasets into separate record arrays\n",
"dt = [('Modified Julian Date', np.long), ('Stock Value', np.float64)]\n",
"googletab = np.loadtxt('Data/google_data.txt', dt,skiprows=1)\n",
"yahootab = np.loadtxt('Data/yahoo_data.txt', dt,skiprows=1)\n",
"dt_temp = [('Modified Julian Date', np.long), ('Max Tmp', np.int)]\n",
"nytemptab = np.loadtxt('Data/ny_temps.txt', dt_temp,skiprows=1)\n",
"\n",
"#Plotting the data on axis 1\n",
"fig,ax1 = plt.subplots(figsize=(12,8))\n",
"ax1.set_title(\"New York Temperature, Google, Yahoo!\",fontsize=16)\n",
"p1 = ax1.plot(googletab['Modified Julian Date'],googletab['Stock Value'], color='b',label=\"Google Stock Value\",linewidth=2.0)\n",
"p2 = ax1.plot(yahootab['Modified Julian Date'],yahootab['Stock Value'], color='purple',label=\"Yahoo! Stock Value\",linewidth=2.0)\n",
"ax1.set_xlabel('Value (Dollars)')\n",
"ax1.set_ylabel('Date (MJD)')\n",
"\n",
"#creating twin axis\n",
"ax2= ax1.twinx()\n",
"p3 = ax2.plot(nytemptab['Modified Julian Date'],nytemptab['Max Tmp'],color='r', linestyle='--',label=\"NY Mon. High Temp\",linewidth=2.0)\n",
"ax2.set_ylim([-100,100])\n",
"ax2.set_ylabel('Temperature$\\,^{\\circ}\\mathrm{F}$')\n",
"\n",
"#Creating a list of labels\n",
"p = p1+p2+p3\n",
"labs = [l.get_label() for l in p]\n",
"\n",
"#Adding legend at the specified position\n",
"ax1.legend(p, labs, loc=6)\n",
"\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 107,
"text": [
"<matplotlib.legend.Legend at 0x13f0c39d0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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RjHiPHrSOPQGeZ+dO8nh5Whl//Jgs4hkVbz24do2WJUs6vl/ZUQ4MUQL++IMO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\nSUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x141fac2d0>"
]
}
],
"prompt_number": 107
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Question 3"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Reading Dataset\n",
"dt = [('sepal length', np.float64), ('sepal width', np.float64),('petal length', np.float64),('petal width', np.float64)\n",
" ,('species', (str, 10))]\n",
"iris = np.loadtxt('Data/flowers.csv',dt,skiprows=1, delimiter=\",\")"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Creating iris 4 X 4 plot"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib osx\n",
"from matplotlib.ticker import MaxNLocator\n",
"from matplotlib.patches import Rectangle\n",
"\n",
"\n",
"#Function to map flowers to numbers\n",
"def color(s):\n",
" if s==\"setosa\":\n",
" return 1\n",
" if s==\"versicolor\":\n",
" return 2\n",
" if s==\"virginica\":\n",
" return 3\n",
"\n",
"#Creating figure containing 4 X 4 plot \n",
"fig,ax = plt.subplots(4,4)\n",
"\n",
"parameters = {0: 'sepal length', 1:'sepal width', 2:'petal length', 3:'petal width'}\n",
"col = {0: iris['sepal length'], 1:iris['sepal width'], 2:iris['petal length'], 3:iris['petal width']}\n",
"cols = {\"versicolor\": \"blue\", \"virginica\": \"green\", \"setosa\": \"red\"}\n",
"\n",
"#Mapping colors\n",
"color = map(lambda x: cols[x],iris['species'])\n",
"\n",
"#Plotting the subplots within nested loop to plot all combinations of 4 parameters\n",
"for i in range(4):\n",
" for j in range(4):\n",
" ax[i,j].scatter(col[j],col[i],c = color, lw = 0.5)\n",
" if i==j:\n",
" at = AnchoredText(parameters[i],prop=dict(size=8), frameon=True, loc=2, )\n",
" at.patch.set_boxstyle(\"round,pad=0.,rounding_size=0.2\")\n",
" ax[i,j].add_artist(at)\n",
" \n",
"#Removing axis labels and putting ticks\n",
"for d in range(4):\n",
" for e in range(4):\n",
" ax[d,e].set_xticklabels([])\n",
" ax[d,e].set_yticklabels([])\n",
" ax[d,e].xaxis.set_major_locator(MaxNLocator(4))\n",
" ax[d,e].yaxis.set_major_locator(MaxNLocator(4))\n",
"\n",
"#Calling class to do interactivity\n",
"DataSelector(fig, iris)\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 102,
"text": [
"<__main__.DataSelector at 0x13f017f90>"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"press\n",
"0.125\n",
"release"
]
}
],
"prompt_number": 102
},
{
"cell_type": "heading",
"level": 3,
"metadata": {},
"source": [
"Creating rectangular selection "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"class DataSelector(object):\n",
" def __init__(self, figure, iris, axis=None): \n",
" self.figure = figure\n",
" self.x0 = None\n",
" self.y0 = None\n",
" self.x1 = None\n",
" self.y1 = None\n",
" self.prevax = None\n",
" self.cid1 = figure.canvas.mpl_connect('button_press_event', self.on_press)\n",
" self.cid2 = figure.canvas.mpl_connect('button_release_event', self.on_release)\n",
" \n",
" def on_press(self, event):\n",
" print 'press'\n",
" if self.prevax is not None:\n",
" self.removep.set_visible(False)\n",
" self.rect = Rectangle((0,0), 1, 1,color='y',alpha=0.2)\n",
" self.x0 = event.xdata\n",
" self.y0 = event.ydata \n",
" self.ax = event.inaxes\n",
" self.prevax = self.ax\n",
" print self.ax.get_position().get_points()[0][0]\n",
"\n",
" def on_release(self, event):\n",
" print 'release'\n",
" self.x1 = event.xdata\n",
" self.y1 = event.ydata\n",
" self.rect.set_xy((self.x0, self.y0))\n",
" self.rect.set_width(self.x1 - self.x0)\n",
" self.rect.set_height(self.y1 - self.y0)\n",
" self.ax.add_patch(self.rect)\n",
" self.removep = self.rect\n",
" self.ax.figure.canvas.draw() \n",
" sys.stdout.flush()\n",
"\n",
" def __call__(self, event):\n",
" print \"Inside cal function\"\n",
" sys.stdout.flush() #to make sure the cached version of the prints are removed\n",
" \n",
" "
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\n"
]
}
],
"prompt_number": 101
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"\n"
],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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