Skip to content

Instantly share code, notes, and snippets.

Embed
What would you like to do?
Basics of Matplot lib part 3
{
"metadata": {
"name": "",
"signature": "sha256:a6e76def9862b0c17e9ce53a8b2cb41db19b66c0f2f6fc4cf4cf96d8c55210d5"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Annotation"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X =np.linspace(-6,6, 1024)\n",
"Y =np.sinc(X)\n",
"plt.title('A simple marker exercise')# a title notation\n",
"plt.xlabel('array variables') # adding xlabel\n",
"plt.ylabel(' random variables') # adding ylabel\n",
"plt.text(-5, 0.4, 'Matplotlib') # -5 is the x value and 0.4 is y value\n",
"plt.plot(X,Y, color ='r', marker ='o', markersize =9, markevery = 30, markerfacecolor='w', linewidth = 3.0, markeredgecolor = 'b')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 28,
"text": [
"[<matplotlib.lines.Line2D at 0x84b6430>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEZCAYAAABiu9n+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x7f82650>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def pq(I, mu, sigma):\n",
" a = 1. / (sigma * np.sqrt(2. * np.pi))\n",
" b = -1. / (2. * sigma ** 2)\n",
" return a * np.exp(b * (I - mu) ** 2)\n",
"\n",
"I =np.linspace(-6,6, 1024)\n",
"\n",
"plt.plot(I, pq(I, 0., 1.), color = 'k', linestyle ='solid')\n",
"plt.plot(I, pq(I, 0., .5), color = 'k', linestyle ='dashed')\n",
"plt.plot(I, pq(I, 0., .25), color = 'k', linestyle ='dashdot')\n",
"\n",
"# I have created a dictinary of styles\n",
"design = {\n",
"'facecolor' : 'y', # color used for the text box\n",
"'edgecolor' : 'g', \n",
"'boxstyle' : 'round' \n",
"}\n",
"plt.text(-4, 1.5, 'Matplot Lib', bbox = design)\n",
"plt.plot(X, Y, c='k')\n",
"plt.show()\n",
"\n",
"#This sets the style of the box, which can either be 'round' or 'square'\n",
"#'pad': If 'boxstyle' is set to 'square', it defines the amount of padding between the text and the box's sides"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAEACAYAAAC9Gb03AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x855e790>"
]
}
],
"prompt_number": 39
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Alignment Control\n",
"The text is bound by a box. This box is used to relatively align the text to the coordinates passed to pyplot.text(). Using the verticalalignment and horizontalalignment parameters (respective shortcut equivalents are va and ha), we can control how the alignment is done.\n",
"\n",
"<b>The vertical alignment options are as follows:<br></b>\n",
"'center': This is relative to the center of the textbox<br>\n",
"'top': This is relative to the upper side of the textbox<br>\n",
"'bottom': This is relative to the lower side of the textbox<br>\n",
"'baseline': This is relative to the text's baseline<br>\n",
"\n",
"<b>Horizontal alignment options are as follows:\n",
"\n",
"\n",
"align ='bottom' &nbsp;&nbsp;&nbsp;\n",
"&nbsp;&nbsp;&nbsp; &nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;\n",
"align ='baseline'<br>\n",
"------------------------align = center-------------------------------------- <br>\n",
" align= 'top<br>\n",
" \n",
" "
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"cd C:\\Users\\tk\\Desktop"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"C:\\Users\\tk\\Desktop\n"
]
}
],
"prompt_number": 41
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from IPython.display import Image\n",
"Image(filename='text alignment.png')\n",
"#The horizontal alignment options are as follows:\n",
"#'center': This is relative to the center of the textbox\n",
"#'left': This is relative to the left side of the textbox\n",
"#'right': This is relative to the right-hand side of the textbox"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAQQAAAFRCAYAAACSS9NOAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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\n",
"prompt_number": 44,
"text": [
"<IPython.core.display.Image at 0x8492310>"
]
}
],
"prompt_number": 44
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"X = np.linspace(-4, 4, 1024)\n",
"Y = .25 * (X + 4.) * (X + 1.) * (X - 2.)\n",
"\n",
"plt.annotate('Big Data', \n",
"ha ='center', va ='bottom',\n",
"xytext =(-1.5, 3.0), xy =(0.75, -2.7), \n",
"arrowprops ={'facecolor': 'green', 'shrink':0.05, 'edgecolor': 'black'}) #arrow properties\n",
"plt.plot(X, Y)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 76,
"text": [
"[<matplotlib.lines.Line2D at 0x9d1def0>]"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXAAAAEACAYAAACqOy3+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wfBIlLaNOa3PwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x9d1df10>"
]
}
],
"prompt_number": 76
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#arrow styles are :\n",
"\n",
"from IPython.display import Image\n",
"Image(filename='arrows.png')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"png": "iVBORw0KGgoAAAANSUhEUgAAAVEAAAEzCAYAAACISjATAAAAAXNSR0IArs4c6QAAAARnQU1BAACx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\n",
"prompt_number": 74,
"text": [
"<IPython.core.display.Image at 0x8706c90>"
]
}
],
"prompt_number": 74
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<b>Legend properties: </b><br>\n",
"'loc': This is the location of the legend. The default value is 'best', which will place it automatically. Other valid values are<br> 'upper left', 'lower left', 'lower right', 'right', 'center left', 'center right', 'lower center', 'upper center', and 'center'.<br>\n",
"\n",
"'shadow': This can be either True or False, and it renders the legend with a shadow effect.<br>\n",
"\n",
"'fancybox': This can be either True or False and renders the legend with a rounded box.<br>\n",
"\n",
"'title': This renders the legend with the title passed as a parameter.<br>\n",
"\n",
"'ncol': This forces the passed value to be the number of columns for the legend<br>"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"x =np.linspace(0, 6,1024)\n",
"y1 =np.sin(x)\n",
"y2 =np.cos(x)\n",
"plt.xlabel('Sin Wave')\n",
"plt.ylabel('Cos Wave')\n",
"plt.plot(x, y1, c='b', lw =3.0, label ='Sin(x)') # labels are specified\n",
"plt.plot(x, y2, c ='r', lw =3.0, ls ='--', label ='Cos(x)')\n",
"plt.legend(loc ='best', shadow = True, fancybox = False, title ='Waves', ncol =1) # displays the labels\n",
"plt.grid(True, lw = 2, ls ='--', c='.75') # adds grid lines to the figure\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEPCAYAAAC3NDh4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nFEVRFEVRFEVRFEVRFEVRFEVRlMzwf/un0Di4MihgAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x996dff0>"
]
}
],
"prompt_number": 101
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#Shapes"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#Paths for several kinds of shapes are available in the matplotlib.patches module\n",
"import matplotlib.patches as patches\n",
"\n",
"dis = patches.Circle((0,0), radius = 1.0, color ='.75' )\n",
"plt.gca().add_patch(dis) # used to render the image.\n",
"\n",
"dis = patches.Rectangle((2.5, -.5), 2.0, 1.0, color ='.75') #patches.rectangle((x & y coordinates), length, breadth)\n",
"plt.gca().add_patch(dis)\n",
"\n",
"dis = patches.Ellipse((0, -2.0), 2.0, 1.0, angle =45, color ='.00')\n",
"plt.gca().add_patch(dis)\n",
"\n",
"dis = patches.FancyBboxPatch((2.5, -2.5), 2.0, 1.0, boxstyle ='roundtooth', color ='g')\n",
"plt.gca().add_patch(dis)\n",
"\n",
"plt.grid(True)\n",
"plt.axis('scaled') # displays the images within the prescribed axis\n",
"plt.show()\n",
"\n",
"#FancyBox: This is like a rectangle but takes an additional boxstyle parameter \n",
"#(either 'larrow', 'rarrow', 'round', 'round4', 'roundtooth', 'sawtooth', or 'square')\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAXoAAAEACAYAAAC9Gb03AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCCGECO//Az5O8d+MvyJCAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x5610030>"
]
}
],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import matplotlib.patches as patches\n",
"theta = np.linspace(0, 2 * np.pi, 8) # generates an array\n",
"vertical = np.vstack((np.cos(theta), np.sin(theta))).transpose() # vertical stack clubs the two arrays. \n",
"#print vertical, print and see how the array looks\n",
"plt.gca().add_patch(patches.Polygon(vertical, color ='y'))\n",
"plt.axis('scaled')\n",
"plt.grid(True)\n",
"plt.show()\n",
"\n",
"#The matplotlib.patches.Polygon()constructor takes a list of coordinates as the inputs, that is, the vertices of the polygon"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAAEACAYAAACtefPrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x5612830>"
]
}
],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# a polygon can be imbided into a circle\n",
"theta = np.linspace(0, 2 * np.pi, 6) # generates an array\n",
"vertical = np.vstack((np.cos(theta), np.sin(theta))).transpose() # vertical stack clubs the two arrays. \n",
"#print vertical, print and see how the array looks\n",
"plt.gca().add_patch(plt.Circle((0,0), radius =1.0, color ='b'))\n",
"plt.gca().add_patch(plt.Polygon(vertical, fill =None, lw =4.0, ls ='dashed', edgecolor ='w'))\n",
"plt.axis('scaled')\n",
"plt.grid(True)\n",
"plt.show()\n"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAQ8AAAEACAYAAACtefPrAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngiAIgiAIgiAIgiAIgiAIgiAIRvL/oPIjv0HCFVwAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x55b3050>"
]
}
],
"prompt_number": 34
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Ticks in Matplotlib"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"#In matplotlib, ticks are small marks on both the axes of a figure\n",
"import matplotlib.ticker as ticker\n",
"X = np.linspace(-12, 12, 1024)\n",
"Y = .25 * (X + 4.) * (X + 1.) * (X - 2.)\n",
"pl =plt.axes() #the object that manages the axes of a figure\n",
"pl.xaxis.set_major_locator(ticker.MultipleLocator(5))\n",
"pl.xaxis.set_minor_locator(ticker.MultipleLocator(1))\n",
"plt.plot(X, Y, c = 'y')\n",
"plt.grid(True, which ='major') # which can take three values: minor, major and both\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEACAYAAAC6d6FnAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x5606930>"
]
}
],
"prompt_number": 54
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"name_list = ('Omar', 'Serguey', 'Max', 'Zhou', 'Abidin')\n",
"value_list = np.random.randint(0, 99, size = len(name_list))\n",
"pos_list = np.arange(len(name_list))\n",
"ax = plt.axes()\n",
"ax.xaxis.set_major_locator(ticker.FixedLocator((pos_list)))\n",
"ax.xaxis.set_major_formatter(ticker.FixedFormatter((name_list)))\n",
"plt.bar(pos_list, value_list, color = '.75',align = 'center')\n",
"plt.show()"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAWwAAAEACAYAAACXqUyYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text": [
"<matplotlib.figure.Figure at 0x56afb90>"
]
}
],
"prompt_number": 59
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment