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@yrevar
Last active April 11, 2019 21:35
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Matplotlib Cheat Sheet. Adapted from: Hilpisch, Y. (2012).
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{
"cells": [
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"%matplotlib inline\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting guideline from Hilpisch, Y. (2012). Python for Finance."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# One-dimensional plot"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"np.random.seed(1)\n",
"y = np.random.standard_normal(20)\n",
"x = range(len(y))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x10a086550>]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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xLE5PB1e9NjSRXGUp6QGQiUorBjsyOg+LyYC+NvXOQ/umGlhMBl0FgoUQePTI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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109ce6590>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x,y)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x10a1c6950>]"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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ICfQzobLpJzTQnz/ekc/XL5vNMx9UcPsf91LX3mN2Wedo7uzj3WP1rM1Ldvi6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\nhPAxEuxCCOFjJNiFEMLH/H+lQLGRugLA8gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a09e810>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(y.cumsum())"
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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J8OZVQ3n8gv40y6hT7ngZdVK45tjOTL7jOO49vSert+7l0pemc/a/v+PrxZv4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wQM7mjk8+1ZeDgq7u/lyIDAUo7u2455aiSDB3BfFyjP2sfarAaf/osrvc9VNRoHI3y9fi9OeYfM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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a4cfd90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"axis_type = ['Empty', # Empty Returns current axis limits\n",
" 'off', # Turns axis lines and labels off\n",
" 'equal', # Leads to equal scaling\n",
" 'scaled', # Equal scaling via dimension changes\n",
" 'tight', # Makes all data visible (tightens limits)\n",
" 'image', # Makes all data visible (with data limits)\n",
" ]\n",
"\n",
"def n_to_subplot_dim(n):\n",
" assert n != 0, \"Nothing to plot!\"\n",
" n_row = int(np.ceil(np.sqrt(n)))\n",
" return n_row, int(np.ceil(n/n_row))\n",
"\n",
"plt.figure(figsize=(10,8))\n",
"for idx, ax_type in enumerate(axis_type):\n",
" \n",
" plt.subplot(*n_to_subplot_dim(len(axis_type)) + (idx+1,))\n",
" plt.plot(y.cumsum())\n",
" plt.grid(True) # adds a grid\n",
" plt.title(\"Axis = \" + ax_type)\n",
" if ax_type != 'Empty':\n",
" plt.axis(ax_type) # adjusts the axis ranges\n",
" else:\n",
" plt.axis()"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-4.2923216896460019, 2.6243453636632417)"
]
},
"execution_count": 83,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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IK56YxpRhSfxq2QHmPL+B3SdrPBrHiapGPtxTxh15aUSEBrnUxtypGWhgwfoi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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a4cfed0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(y.cumsum())\n",
"plt.grid(True)\n",
"plt.xlim(-1, 20)\n",
"plt.ylim(np.min(y.cumsum()) - 1,\n",
" np.max(y.cumsum()) + 1)"
]
},
{
"cell_type": "code",
"execution_count": 85,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10a881b90>"
]
},
"execution_count": 85,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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uu77eZcKHM+ulwNlUqhoyBL77Dt57L+hIEizSDNgkzoyV5GpJt4SVwHLgK6Bn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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a7627d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 4))\n",
"# the figsize parameter defines the\n",
" # size of the figure in (width, height)\n",
"plt.plot(y.cumsum(), 'b', lw=1.5)\n",
"plt.plot(y.cumsum(), 'ro')\n",
"plt.grid(True)\n",
"plt.axis('tight')\n",
"plt.xlabel('index')\n",
"plt.ylabel('value')\n",
"plt.title('A Simple Plot')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Named Colors\n",
"\n",
"Courtesy: https://stackoverflow.com/questions/22408237/named-colors-in-matplotlib\n"
]
},
{
"cell_type": "code",
"execution_count": 89,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(u'indigo', u'#4B0082')\n",
"(u'gold', u'#FFD700')\n",
"(u'hotpink', u'#FF69B4')\n",
"(u'firebrick', u'#B22222')\n",
"(u'indianred', u'#CD5C5C')\n",
"(u'yellow', u'#FFFF00')\n",
"(u'mistyrose', u'#FFE4E1')\n",
"(u'darkolivegreen', u'#556B2F')\n",
"(u'olive', u'#808000')\n",
"(u'darkseagreen', u'#8FBC8F')\n",
"(u'pink', u'#FFC0CB')\n",
"(u'tomato', u'#FF6347')\n",
"(u'lightcoral', u'#F08080')\n",
"(u'orangered', u'#FF4500')\n",
"(u'navajowhite', u'#FFDEAD')\n",
"(u'lime', u'#00FF00')\n",
"(u'palegreen', u'#98FB98')\n",
"(u'darkslategrey', u'#2F4F4F')\n",
"(u'greenyellow', u'#ADFF2F')\n",
"(u'burlywood', u'#DEB887')\n",
"(u'seashell', u'#FFF5EE')\n",
"(u'mediumspringgreen', u'#00FA9A')\n",
"(u'fuchsia', u'#FF00FF')\n",
"(u'papayawhip', u'#FFEFD5')\n",
"(u'blanchedalmond', u'#FFEBCD')\n",
"(u'chartreuse', u'#7FFF00')\n",
"(u'dimgray', u'#696969')\n",
"(u'black', u'#000000')\n",
"(u'peachpuff', u'#FFDAB9')\n",
"(u'springgreen', u'#00FF7F')\n",
"(u'aquamarine', u'#7FFFD4')\n",
"(u'white', u'#FFFFFF')\n",
"(u'orange', u'#FFA500')\n",
"(u'lightsalmon', u'#FFA07A')\n",
"(u'darkslategray', u'#2F4F4F')\n",
"(u'brown', u'#A52A2A')\n",
"(u'ivory', u'#FFFFF0')\n",
"(u'dodgerblue', u'#1E90FF')\n",
"(u'peru', u'#CD853F')\n",
"(u'lawngreen', u'#7CFC00')\n",
"(u'chocolate', u'#D2691E')\n",
"(u'crimson', u'#DC143C')\n",
"(u'forestgreen', u'#228B22')\n",
"(u'darkgrey', u'#A9A9A9')\n",
"(u'lightseagreen', u'#20B2AA')\n",
"(u'cyan', u'#00FFFF')\n",
"(u'mintcream', u'#F5FFFA')\n",
"(u'silver', u'#C0C0C0')\n",
"(u'antiquewhite', u'#FAEBD7')\n",
"(u'mediumorchid', u'#BA55D3')\n",
"(u'skyblue', u'#87CEEB')\n",
"(u'gray', u'#808080')\n",
"(u'darkturquoise', u'#00CED1')\n",
"(u'goldenrod', u'#DAA520')\n",
"(u'darkgreen', u'#006400')\n",
"(u'floralwhite', u'#FFFAF0')\n",
"(u'darkviolet', u'#9400D3')\n",
"(u'darkgray', u'#A9A9A9')\n",
"(u'moccasin', u'#FFE4B5')\n",
"(u'saddlebrown', u'#8B4513')\n",
"(u'grey', u'#808080')\n",
"(u'darkslateblue', u'#483D8B')\n",
"(u'lightskyblue', u'#87CEFA')\n",
"(u'lightpink', u'#FFB6C1')\n",
"(u'mediumvioletred', u'#C71585')\n",
"(u'slategrey', u'#708090')\n",
"(u'red', u'#FF0000')\n",
"(u'deeppink', u'#FF1493')\n",
"(u'limegreen', u'#32CD32')\n",
"(u'darkmagenta', u'#8B008B')\n",
"(u'palegoldenrod', u'#EEE8AA')\n",
"(u'plum', u'#DDA0DD')\n",
"(u'turquoise', u'#40E0D0')\n",
"(u'lightgrey', u'#D3D3D3')\n",
"(u'lightgoldenrodyellow', u'#FAFAD2')\n",
"(u'darkgoldenrod', u'#B8860B')\n",
"(u'lavender', u'#E6E6FA')\n",
"(u'maroon', u'#800000')\n",
"(u'yellowgreen', u'#9ACD32')\n",
"(u'sandybrown', u'#F4A460')\n",
"(u'thistle', u'#D8BFD8')\n",
"(u'violet', u'#EE82EE')\n",
"(u'navy', u'#000080')\n",
"(u'magenta', u'#FF00FF')\n",
"(u'dimgrey', u'#696969')\n",
"(u'tan', u'#D2B48C')\n",
"(u'rosybrown', u'#BC8F8F')\n",
"(u'olivedrab', u'#6B8E23')\n",
"(u'blue', u'#0000FF')\n",
"(u'lightblue', u'#ADD8E6')\n",
"(u'ghostwhite', u'#F8F8FF')\n",
"(u'honeydew', u'#F0FFF0')\n",
"(u'cornflowerblue', u'#6495ED')\n",
"(u'slateblue', u'#6A5ACD')\n",
"(u'linen', u'#FAF0E6')\n",
"(u'darkblue', u'#00008B')\n",
"(u'powderblue', u'#B0E0E6')\n",
"(u'seagreen', u'#2E8B57')\n",
"(u'darkkhaki', u'#BDB76B')\n",
"(u'snow', u'#FFFAFA')\n",
"(u'sienna', u'#A0522D')\n",
"(u'mediumblue', u'#0000CD')\n",
"(u'royalblue', u'#4169E1')\n",
"(u'lightcyan', u'#E0FFFF')\n",
"(u'green', u'#008000')\n",
"(u'mediumpurple', u'#9370DB')\n",
"(u'midnightblue', u'#191970')\n",
"(u'cornsilk', u'#FFF8DC')\n",
"(u'paleturquoise', u'#AFEEEE')\n",
"(u'bisque', u'#FFE4C4')\n",
"(u'slategray', u'#708090')\n",
"(u'darkcyan', u'#008B8B')\n",
"(u'khaki', u'#F0E68C')\n",
"(u'wheat', u'#F5DEB3')\n",
"(u'teal', u'#008080')\n",
"(u'darkorchid', u'#9932CC')\n",
"(u'salmon', u'#FA8072')\n",
"(u'deepskyblue', u'#00BFFF')\n",
"(u'rebeccapurple', u'#663399')\n",
"(u'darkred', u'#8B0000')\n",
"(u'steelblue', u'#4682B4')\n",
"(u'palevioletred', u'#DB7093')\n",
"(u'lightslategray', u'#778899')\n",
"(u'aliceblue', u'#F0F8FF')\n",
"(u'lightslategrey', u'#778899')\n",
"(u'lightgreen', u'#90EE90')\n",
"(u'orchid', u'#DA70D6')\n",
"(u'gainsboro', u'#DCDCDC')\n",
"(u'mediumseagreen', u'#3CB371')\n",
"(u'lightgray', u'#D3D3D3')\n",
"(u'mediumturquoise', u'#48D1CC')\n",
"(u'lemonchiffon', u'#FFFACD')\n",
"(u'cadetblue', u'#5F9EA0')\n",
"(u'lightyellow', u'#FFFFE0')\n",
"(u'lavenderblush', u'#FFF0F5')\n",
"(u'coral', u'#FF7F50')\n",
"(u'purple', u'#800080')\n",
"(u'aqua', u'#00FFFF')\n",
"(u'whitesmoke', u'#F5F5F5')\n",
"(u'mediumslateblue', u'#7B68EE')\n",
"(u'darkorange', u'#FF8C00')\n",
"(u'mediumaquamarine', u'#66CDAA')\n",
"(u'darksalmon', u'#E9967A')\n",
"(u'beige', u'#F5F5DC')\n",
"(u'blueviolet', u'#8A2BE2')\n",
"(u'azure', u'#F0FFFF')\n",
"(u'lightsteelblue', u'#B0C4DE')\n",
"(u'oldlace', u'#FDF5E6')\n",
"(u'indigo', u'#4B0082')\n",
"(u'gold', u'#FFD700')\n",
"(u'hotpink', u'#FF69B4')\n",
"(u'firebrick', u'#B22222')\n",
"(u'indianred', u'#CD5C5C')\n",
"(u'yellow', u'#FFFF00')\n",
"(u'mistyrose', u'#FFE4E1')\n",
"(u'darkolivegreen', u'#556B2F')\n",
"(u'olive', u'#808000')\n",
"(u'darkseagreen', u'#8FBC8F')\n",
"(u'pink', u'#FFC0CB')\n",
"(u'tomato', u'#FF6347')\n",
"(u'lightcoral', u'#F08080')\n",
"(u'orangered', u'#FF4500')\n",
"(u'navajowhite', u'#FFDEAD')\n",
"(u'lime', u'#00FF00')\n",
"(u'palegreen', u'#98FB98')\n",
"(u'darkslategrey', u'#2F4F4F')\n",
"(u'greenyellow', u'#ADFF2F')\n",
"(u'burlywood', u'#DEB887')\n",
"(u'seashell', u'#FFF5EE')\n",
"(u'mediumspringgreen', u'#00FA9A')\n",
"(u'fuchsia', u'#FF00FF')\n",
"(u'papayawhip', u'#FFEFD5')\n",
"(u'blanchedalmond', u'#FFEBCD')\n",
"(u'chartreuse', u'#7FFF00')\n",
"(u'dimgray', u'#696969')\n",
"(u'black', u'#000000')\n",
"(u'peachpuff', u'#FFDAB9')\n",
"(u'springgreen', u'#00FF7F')\n",
"(u'aquamarine', u'#7FFFD4')\n",
"(u'white', u'#FFFFFF')\n",
"(u'orange', u'#FFA500')\n",
"(u'lightsalmon', u'#FFA07A')\n",
"(u'darkslategray', u'#2F4F4F')\n",
"(u'brown', u'#A52A2A')\n",
"(u'ivory', u'#FFFFF0')\n",
"(u'dodgerblue', u'#1E90FF')\n",
"(u'peru', u'#CD853F')\n",
"(u'lawngreen', u'#7CFC00')\n",
"(u'chocolate', u'#D2691E')\n",
"(u'crimson', u'#DC143C')\n",
"(u'forestgreen', u'#228B22')\n",
"(u'darkgrey', u'#A9A9A9')\n",
"(u'lightseagreen', u'#20B2AA')\n",
"(u'cyan', u'#00FFFF')\n",
"(u'mintcream', u'#F5FFFA')\n",
"(u'silver', u'#C0C0C0')\n",
"(u'antiquewhite', u'#FAEBD7')\n",
"(u'mediumorchid', u'#BA55D3')\n",
"(u'skyblue', u'#87CEEB')\n",
"(u'gray', u'#808080')\n",
"(u'darkturquoise', u'#00CED1')\n",
"(u'goldenrod', u'#DAA520')\n",
"(u'darkgreen', u'#006400')\n",
"(u'floralwhite', u'#FFFAF0')\n",
"(u'darkviolet', u'#9400D3')\n",
"(u'darkgray', u'#A9A9A9')\n",
"(u'moccasin', u'#FFE4B5')\n",
"(u'saddlebrown', u'#8B4513')\n",
"(u'grey', u'#808080')\n",
"(u'darkslateblue', u'#483D8B')\n",
"(u'lightskyblue', u'#87CEFA')\n",
"(u'lightpink', u'#FFB6C1')\n",
"(u'mediumvioletred', u'#C71585')\n",
"(u'slategrey', u'#708090')\n",
"(u'red', u'#FF0000')\n",
"(u'deeppink', u'#FF1493')\n",
"(u'limegreen', u'#32CD32')\n",
"(u'darkmagenta', u'#8B008B')\n",
"(u'palegoldenrod', u'#EEE8AA')\n",
"(u'plum', u'#DDA0DD')\n",
"(u'turquoise', u'#40E0D0')\n",
"(u'lightgrey', u'#D3D3D3')\n",
"(u'lightgoldenrodyellow', u'#FAFAD2')\n",
"(u'darkgoldenrod', u'#B8860B')\n",
"(u'lavender', u'#E6E6FA')\n",
"(u'maroon', u'#800000')\n",
"(u'yellowgreen', u'#9ACD32')\n",
"(u'sandybrown', u'#F4A460')\n",
"(u'thistle', u'#D8BFD8')\n",
"(u'violet', u'#EE82EE')\n",
"(u'navy', u'#000080')\n",
"(u'magenta', u'#FF00FF')\n",
"(u'dimgrey', u'#696969')\n",
"(u'tan', u'#D2B48C')\n",
"(u'rosybrown', u'#BC8F8F')\n",
"(u'olivedrab', u'#6B8E23')\n",
"(u'blue', u'#0000FF')\n",
"(u'lightblue', u'#ADD8E6')\n",
"(u'ghostwhite', u'#F8F8FF')\n",
"(u'honeydew', u'#F0FFF0')\n",
"(u'cornflowerblue', u'#6495ED')\n",
"(u'slateblue', u'#6A5ACD')\n",
"(u'linen', u'#FAF0E6')\n",
"(u'darkblue', u'#00008B')\n",
"(u'powderblue', u'#B0E0E6')\n",
"(u'seagreen', u'#2E8B57')\n",
"(u'darkkhaki', u'#BDB76B')\n",
"(u'snow', u'#FFFAFA')\n",
"(u'sienna', u'#A0522D')\n",
"(u'mediumblue', u'#0000CD')\n",
"(u'royalblue', u'#4169E1')\n",
"(u'lightcyan', u'#E0FFFF')\n",
"(u'green', u'#008000')\n",
"(u'mediumpurple', u'#9370DB')\n",
"(u'midnightblue', u'#191970')\n",
"(u'cornsilk', u'#FFF8DC')\n",
"(u'paleturquoise', u'#AFEEEE')\n",
"(u'bisque', u'#FFE4C4')\n",
"(u'slategray', u'#708090')\n",
"(u'darkcyan', u'#008B8B')\n",
"(u'khaki', u'#F0E68C')\n",
"(u'wheat', u'#F5DEB3')\n",
"(u'teal', u'#008080')\n",
"(u'darkorchid', u'#9932CC')\n",
"(u'salmon', u'#FA8072')\n",
"(u'deepskyblue', u'#00BFFF')\n",
"(u'rebeccapurple', u'#663399')\n",
"(u'darkred', u'#8B0000')\n",
"(u'steelblue', u'#4682B4')\n",
"(u'palevioletred', u'#DB7093')\n",
"(u'lightslategray', u'#778899')\n",
"(u'aliceblue', u'#F0F8FF')\n",
"(u'lightslategrey', u'#778899')\n",
"(u'lightgreen', u'#90EE90')\n",
"(u'orchid', u'#DA70D6')\n",
"(u'gainsboro', u'#DCDCDC')\n",
"(u'mediumseagreen', u'#3CB371')\n",
"(u'lightgray', u'#D3D3D3')\n",
"(u'mediumturquoise', u'#48D1CC')\n",
"(u'lemonchiffon', u'#FFFACD')\n",
"(u'cadetblue', u'#5F9EA0')\n",
"(u'lightyellow', u'#FFFFE0')\n",
"(u'lavenderblush', u'#FFF0F5')\n",
"(u'coral', u'#FF7F50')\n",
"(u'purple', u'#800080')\n",
"(u'aqua', u'#00FFFF')\n",
"(u'whitesmoke', u'#F5F5F5')\n",
"(u'mediumslateblue', u'#7B68EE')\n",
"(u'darkorange', u'#FF8C00')\n",
"(u'mediumaquamarine', u'#66CDAA')\n",
"(u'darksalmon', u'#E9967A')\n",
"(u'beige', u'#F5F5DC')\n",
"(u'blueviolet', u'#8A2BE2')\n",
"(u'azure', u'#F0FFFF')\n",
"(u'lightsteelblue', u'#B0C4DE')\n",
"(u'oldlace', u'#FDF5E6')\n"
]
}
],
"source": [
"# python2:\n",
"\n",
"import matplotlib\n",
"for name, hex in matplotlib.colors.cnames.iteritems():\n",
" print(name, hex)\n",
"\n",
"# python3:\n",
"\n",
"import matplotlib\n",
"for name, hex in matplotlib.colors.cnames.items():\n",
" print(name, hex)"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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pWonIhTRx7yiG13mHGj71WZkxmx3Zx2YA/p1Q+lu4d12S8ndwpCiFyp7hZ+zbZvY+Yx0P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pypd3pVYtdwBqVK9IqxYNUKlU1KpZiajoqwAcOHicdbnTwVq28CLhZjIpKakAdGjfBHNzM8zN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ek4j+NX14QQ4mRwQlYS1XRxSAiz8/K4NS0NNxBusfBIhFHiGWe18mxWFrlVE1fHWa1kORyH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\nSSIhhBBCCCGEEEIIAfw/usu/4BTztoQAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a833210>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.patches as patches\n",
"import matplotlib.colors as colors\n",
"import math\n",
"\n",
"fig = plt.figure(figsize=(20,10))\n",
"ax = fig.add_subplot(111)\n",
"\n",
"ratio = 1.0 / 3.0\n",
"count = math.ceil(math.sqrt(len(colors.cnames)))\n",
"x_count = count * ratio\n",
"y_count = count / ratio\n",
"x = 0\n",
"y = 0\n",
"w = 1 / x_count\n",
"h = 1 / y_count\n",
"\n",
"for c in colors.cnames:\n",
" pos = (x / x_count, y / y_count)\n",
" ax.add_patch(patches.Rectangle(pos, w, h, color=c))\n",
" ax.annotate(c, xy=pos)\n",
" if y >= y_count-1:\n",
" x += 1\n",
" y = 0\n",
" else:\n",
" y += 1\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Markers: https://matplotlib.org/api/markers_api.html\n",
"\n",
"```\n",
"character description\n",
"'-' solid line style\n",
"'--' dashed line style\n",
"'-.' dash-dot line style\n",
"':' dotted line style\n",
"'.' point marker\n",
"',' pixel marker\n",
"'o' circle marker\n",
"'v' triangle_down marker\n",
"'^' triangle_up marker\n",
"'<' triangle_left marker\n",
"'>' triangle_right marker\n",
"'1' tri_down marker\n",
"'2' tri_up marker\n",
"'3' tri_left marker\n",
"'4' tri_right marker\n",
"'s' square marker\n",
"'p' pentagon marker\n",
"'*' star marker\n",
"'h' hexagon1 marker\n",
"'H' hexagon2 marker\n",
"'+' plus marker\n",
"'x' x marker\n",
"'D' diamond marker\n",
"'d' thin_diamond marker\n",
"'|' vline marker\n",
"'_' hline marker\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2D Plots"
]
},
{
"cell_type": "code",
"execution_count": 93,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"np.random.seed(2000)\n",
"y = np.random.standard_normal((20, 2)).cumsum(axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 99,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x10a9f0dd0>"
]
},
"execution_count": 99,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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YyMIhj/DO0r18svpv7rusEUMva0RoUMUK4oo9Jxj+xXoa1qzCnGHdqB3ieitR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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a440d10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 4))\n",
"\n",
"# plt.plot(y, lw=1.5) # plots two lines\n",
"# or \n",
"plt.plot(y[:, 0], lw=1.5, label='1st')\n",
"plt.plot(y[:, 1], lw=1.5, label='2nd')\n",
"\n",
"plt.plot(y, 'ro')\n",
"# plots two dotted lines\n",
"plt.grid(True)\n",
"plt.axis('tight')\n",
"plt.xlabel('index')\n",
"plt.ylabel('value')\n",
"plt.title('A Simple Plot')\n",
"plt.legend(loc=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Legend Locations \n",
"```\n",
"best -- 0\n",
"upper right -- 1\n",
"upper left -- 2\n",
"lower left -- 3\n",
"lower right -- 4\n",
"right -- 5\n",
"center left -- 6\n",
"center right -- 7\n",
"lower center -- 8\n",
"upper center -- 9\n",
"center -- 10```"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"plt.figure(figsize=(7, 4))\n"
]
},
{
"cell_type": "code",
"execution_count": 107,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10aafe710>"
]
},
"execution_count": 107,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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tA6uNB/kpIOd2RCQK+Dcw3xjzH2txdecpT+v+oLW8HMjtsnmOtUypoFu4oYLT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\n/wNFQyvHpm8oswAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109ffae50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"y[:, 0] = y[:, 0] * 100\n",
"plt.figure(figsize=(7, 4))\n",
"plt.plot(y[:, 0], lw=1.5, label='1st')\n",
"plt.plot(y[:, 1], lw=1.5, label='2nd')\n",
"plt.plot(y, 'ro')\n",
"plt.grid(True)\n",
"plt.legend(loc=0)\n",
"plt.axis('tight')\n",
"plt.xlabel('index')\n",
"plt.ylabel('value')\n",
"plt.title('A Simple Plot')"
]
},
{
"cell_type": "code",
"execution_count": 150,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def fix_ticks(msg):\n",
" print(msg.replace(\"’\", \"'\").replace(\"‘\", \"'\").replace(\"”\", \"\\\"\"))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Twin / Double Axis (To handle different scales of 2 data series)"
]
},
{
"cell_type": "code",
"execution_count": 114,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10a2f2250>"
]
},
"execution_count": 114,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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fcRoxXwduNEjDUaFm2jRYu9b0wsRd3CAHnTsbr9WIce5IS2N0k3FkxwU+s3hJ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\nJTFjjDFpy5KYMcaYtGVJzBhjTNr6f+5fctB0Xw3VAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ab83990>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax1 = plt.subplots()\n",
"plt.plot(y[:, 0], 'b', lw=1.5, label='1st')\n",
"plt.plot(y[:, 0], 'ro')\n",
"plt.grid(True)\n",
"plt.legend(loc=8)\n",
"plt.axis('tight')\n",
"plt.xlabel('index')\n",
"plt.ylabel('value 1st')\n",
"plt.title('A Simple Plot')\n",
"ax2 = ax1.twinx()\n",
"plt.plot(y[:, 1], 'g', lw=1.5, label='2nd')\n",
"plt.plot(y[:, 1], 'ro')\n",
"plt.legend(loc=0)\n",
"plt.ylabel('value 2nd')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Subplot"
]
},
{
"cell_type": "code",
"execution_count": 118,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10a9e2f10>"
]
},
"execution_count": 118,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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bM6KH++bNCwwQREdM+w0RYerl3QgPCeT+z9ZVa9Ts4cJSrnt3OYu35vD0Fd25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\nNMYYY4Lw/86/ifA+jLZcAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10ac30190>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 5))\n",
"plt.subplot(211)\n",
"plt.plot(y[:, 0], lw=1.5, label='1st')\n",
"plt.plot(y[:, 0], 'ro')\n",
"plt.grid(True)\n",
"plt.legend(loc=0)\n",
"plt.axis('tight')\n",
"plt.ylabel('value')\n",
"plt.title('A Simple Plot')\n",
"plt.subplot(212)\n",
"plt.plot(y[:, 1], 'g', lw=1.5, label='2nd')\n",
"plt.plot(y[:, 1], 'ro')\n",
"plt.grid(True)\n",
"plt.legend(loc=0)\n",
"plt.axis('tight')\n",
"plt.xlabel('index')\n",
"plt.ylabel('value')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Bar Chart"
]
},
{
"cell_type": "code",
"execution_count": 120,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10aac3950>"
]
},
"execution_count": 120,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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53NJFT38EE12vXYtmDNsMNPb3e/pvIAv4q4hsEZEfRbtBxpjwsTkyJmg7alsA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\nLCzMinZTjDHGmKixQCbbQ2N7D/0Dg9F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A3B5J65qOZ5Qk7ZP0gqQdkrY1Hc+7IWmDpMOS\ndvbtO0nS45JeTa8faDLGxVggr29KOpDGbYekLzYZow2nxJpSQi1xDcmDpI9I+rWkF9Pirzem/UOP\nVScaGUnHAHcCXwCWAlekheVKckFELCvgmQIbgZVz9q0DnoyISapnguT4n8ZG3poXwB1p3JZFxCM1\nx2SLVHhNyb2WbMQ1JAdvUi0YvRT4NLA2/Q4NPVadaGSoHoy1JyL+HBH/Ae6jWljOWiYifgv8bc7u\nVcA96f09wJdrDWoEFsjL8uWa0lKuIXmIiIMR8Vx6/09gN9WaaEOPVVcamdOBv/RtL7iIXKYCeEzS\n9rQIXmkm+tbm+isw0WQwI3a9pOfTtHF2090dVmpNKbWWuIa0mKQlwHLgGRYxVl1pZEp3XkScSzXN\nvVbS+U0HNC5RPS+glGcG3AWcBSwDDgK3NRuOWfm1xDWkXSS9F/glcFNE/KP/2KBj1ZVGZlGLyOUi\nIg6k18NUTzpd0WxEI3dI0qlQrZwOHG44npGIiEMRcSQijgJ3U964lazImlJwLXENaSFJx1E1MfdG\nxK/S7qHHqiuNzLPApKSPSXoPcDmwueGYRkLSiZLeN/seuBDY+fafys5m4Kr0/irgwQZjGZnZX9Zk\nNeWNW8mKqymF1xLXkJaRJOBHwO6IuL3v0NBj1Zkn+6Y/S/secAywIa3Fkj1JZ/L/9WaOBTblnJuk\nnwHTVEu5HwK+ATxAtQjgGcBrwGURkdVNbwvkNU01JRzAPuC6vmvD1nKl1ZRSaolrSB41RNJ5wO+A\nF4CjaffXqe6TGWqsOtPImJmZWXm6cmnJzMzMCuRGxszMzLLlRsbMzMyy5UbGzMzMsuVGxszMzLLl\nRsbGRtLTQ54/LemhccVjZnlxDbFBuJGxsYmIzzYdg5nlyzXEBuFGxsZG0kx6nZbUk/QLSS9Jujc9\n1RFJK9O+54CL+j57YloEbaukP0lalfZ/VdKG9P6TknZKOqGB9MxszFxDbBBuZKwuy4GbgKXAmcDn\nJB1PtT7Il4BPAaf0nX8L8FRErAAuAL6bHpv+feDjklYDP6Z6kuW/6kvDzBriGmLzciNjddkaEfvT\n4mY7gCXA2cDeiHg1rXL6077zLwTWSdoB9IDjgTPS568GfgL8JiJ+X18KZtYg1xCb17FNB2Cd8Ubf\n+yO88789ARdHxMvzHJsEZoDTRhSbmbWfa4jNyzMy1qSXgCWSzkrbV/Qd2wLc0HcdfHl6fT/wA+B8\n4IOSLqkxXjNrF9cQcyNjzYmIfwNrgIfTjXqH+w7fChwHPC9pV9oGuAO4MyJeAa4Fvi3p5BrDNrOW\ncA0x8OrXZmZmljHPyJiZmVm23MiYmZlZttzImJmZWbbcyJiZmVm23MiYmZlZttzImJmZWbbcyJiZ\nmVm2/gsJ6xJUCYLbEQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a2ecb90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(9, 4))\n",
"plt.subplot(121)\n",
"plt.plot(y[:, 0], lw=1.5, label='1st')\n",
"plt.plot(y[:, 0], 'ro')\n",
"plt.grid(True)\n",
"plt.legend(loc=0)\n",
"plt.axis('tight')\n",
"plt.xlabel('index')\n",
"plt.ylabel('value')\n",
"plt.title('1st Data Set')\n",
"plt.subplot(122)\n",
"plt.bar(np.arange(len(y)), y[:, 1], width=0.5,\n",
" color='g', label='2nd')\n",
"plt.grid(True)\n",
"plt.legend(loc=0)\n",
"plt.axis('tight')\n",
"plt.xlabel('index')\n",
"plt.title('2nd Data Set')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 2D Data Visualization"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Scatter Plot"
]
},
{
"cell_type": "code",
"execution_count": 123,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"y = np.random.standard_normal((1000, 2))\n",
"c = np.random.randint(0, 10, len(y))"
]
},
{
"cell_type": "code",
"execution_count": 126,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10a541890>"
]
},
"execution_count": 126,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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a9uOzxJHOAct0TSyCFPR8VuHVWZPVSMELKBQ8Ax4CUdoc3sSEe4XrIg9PwTfp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\nRwghpBP8//5Q+da0WZy7AAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a867e90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 5))\n",
"plt.plot(y[:, 0], y[:, 1], 'ro')\n",
"plt.grid(True)\n",
"plt.xlabel('1st')\n",
"plt.ylabel('2nd')\n",
"plt.title('Scatter Plot')"
]
},
{
"cell_type": "code",
"execution_count": 128,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10a63be10>"
]
},
"execution_count": 128,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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iqoj7nzne8D2Rxpmjqpgvo/i8VUNUc3WX6hrMZpSbA53ZTOWDLFeqePjQG8jn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\n17JlzhHOBgAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a8b4150>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 5))\n",
"plt.scatter(y[:, 0], y[:, 1], marker='o') # Scatter function\n",
"plt.grid(True)\n",
"plt.xlabel('1st')\n",
"plt.ylabel('2nd')\n",
"plt.title('Scatter Plot')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Third dimension as color"
]
},
{
"cell_type": "code",
"execution_count": 129,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"c = np.random.randint(0, 10, len(y))"
]
},
{
"cell_type": "code",
"execution_count": 131,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10a7b7250>"
]
},
"execution_count": 131,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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k0NVGO8GienboBqz8fh0PX/oUT876IwB9YtNYW7aLF/KH8klJb9Kzg2z4rCe2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WAAAg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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a625490>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 5))\n",
"plt.scatter(y[:, 0], y[:, 1], c=c, marker='o')\n",
"plt.colorbar()\n",
"plt.grid(True)\n",
"plt.xlabel('1st')\n",
"plt.ylabel('2nd')\n",
"plt.title('Scatter Plot')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Combined Histogram"
]
},
{
"cell_type": "code",
"execution_count": 134,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10a906ad0>"
]
},
"execution_count": 134,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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bOCci3gLMAG5IltgaUbIO5UJgZkRMB74LNMwqMmaVyv1i2Ga1JiIelXS4pNdT\nWMrteeDPwI3Jg2N3UHgUUmtSPpJjgOOAnyc5c19gfRqxm9UTJ0Cz2vQDYCbwnyj0CC+gkAynR8R2\nST1A06A6/ew6qjPwvoAVEfGOVCM2qzMeAjWrTbdTeOLDTArJcDywMUl+M4A3lqjzNHCspP2TFfpP\nTcr/CBwm6R1QGBKV9Jept8CsxrkHaFaDImKFpBZgXUSsl7QI+LGkZUA3JR45ExFrJN1B4Vlsq4FH\nk/JXJM0EbpI0nsK/+68CK6rUHLOa5KdBmJlZLnkI1MzMcskJ0MzMcskJ0MzMcskJ0MzMcskJ0MzM\ncskJ0MzMcskJ0MzMcun/A4Xn0gebNKpmAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a79dfd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 4))\n",
"plt.hist(y, label=['1st', '2nd'], bins=25)\n",
"plt.grid(True)\n",
"plt.legend(loc=0)\n",
"plt.xlabel('value')\n",
"plt.ylabel('frequency')\n",
"plt.title('Histogram')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Stacked Histogram"
]
},
{
"cell_type": "code",
"execution_count": 136,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10acc9e50>"
]
},
"execution_count": 136,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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sTooDeHSg4yLiUUkTSoxjOrAgIt4BXpK0HDiAwjOIZmZmZVfKPcCjKDwL+E6ZrnmOpBOB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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10a79db50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(7, 4))\n",
"plt.hist(y, label=['1st', '2nd'], color=['b', 'g'],\n",
" stacked=True, bins=20)\n",
"plt.grid(True)\n",
"plt.legend(loc=0)\n",
"plt.xlabel('value')\n",
"plt.ylabel('frequency')\n",
"plt.title('Histogram')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Box Plot"
]
},
{
"cell_type": "code",
"execution_count": 143,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x10c3cef50>"
]
},
"execution_count": 143,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x10c411a90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(7, 4))\n",
"plt.boxplot(y)\n",
"plt.grid(True)\n",
"plt.setp(ax, xticklabels=['1st', '2nd'])\n",
"plt.xlabel('data set')\n",
"plt.ylabel('value')\n",
"plt.title('Boxplot')"
]
},
{
"cell_type": "code",
"execution_count": 146,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"\n",
"# line = plt.plot(range(10), 'r')\n",
"# plt.setp(line, linestyle='—')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## LaTeX type setting "
]
},
{
"cell_type": "code",
"execution_count": 152,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<matplotlib.figure.Figure at 0x10a590c90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from matplotlib.patches import Polygon \n",
"def func(x):\n",
" return 0.5 * np.exp(x) + 1\n",
"a, b = 0.5, 1.5 # integral limits x = np.linspace(0, 2)\n",
"y = func(x)\n",
"fig, ax = plt.subplots(figsize=(7, 5))\n",
"plt.plot(x, y, 'b', linewidth=2)\n",
"plt.ylim(ymin=0)\n",
"# Illustrate the integral value, i.e. the area under the function # between the lower and upper limits\n",
"Ix = np.linspace(a, b)\n",
"Iy = func(Ix)\n",
"verts = [(a, 0)] + list(zip(Ix, Iy)) + [(b, 0)]\n",
"poly = Polygon(verts, facecolor='0.7', edgecolor='0.5')\n",
"ax.add_patch(poly)\n",
"plt.text(0.5 * (a + b), 1, r\"$\\int_a^b f(x)\\mathrm{d}x$\",\n",
" horizontalalignment='center', fontsize=20)\n",
"plt.figtext(0.9, 0.075, '$x$')\n",
"plt.figtext(0.075, 0.9, '$f(x)$')\n",
"ax.set_xticks((a, b))\n",
"ax.set_xticklabels(('$a$', '$b$'))\n",
"ax.set_yticks([func(a), func(b)])\n",
"ax.set_yticklabels(('$f(a)$', '$f(b)$'))\n",
"plt.grid(True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```\n",
"Let us go through the generation of this plot step by step. The first step is the definition of the function to be integrated:\n",
"def func(x):\n",
"return 0.5 * np.exp(x) + 1\n",
"The second step is the definition of the integral limits and the generation of needed numerical values:\n",
"a, b = 0.5, 1.5 # integral limits\n",
"\n",
"x = np.linspace(0, 2)\n",
" y = func(x)\n",
"Third, we plot the function itself:\n",
" fig, ax = plt.subplots(figsize=(7, 5))\n",
" plt.plot(x, y, ‘b’, linewidth=2)\n",
" plt.ylim(ymin=0)\n",
"Fourth and central, we generate the shaded area (“patch”) by the use of the Polygon function illustrating the integral area:\n",
" Ix = np.linspace(a, b)\n",
" Iy = func(Ix)\n",
" verts = [(a, 0)] + list(zip(Ix, Iy)) + [(b, 0)]\n",
" poly = Polygon(verts, facecolor=‘0.7’, edgecolor=‘0.5’)\n",
" ax.add_patch(poly)\n",
"\n",
"\n",
"The fifth step is the addition of the mathematical formula and some axis labels to the plot, using the plt.text and plt.figtext functions. LaTeX code is passed between two dollar signs ($ ... $). The first two parameters of both functions are coordinate values to place the respective text:\n",
" plt.text(0.5 * (a + b), 1, r”$\\int_a^b f(x)\\mathrm{d}x$”,\n",
" horizontalalignment=‘center’, fontsize=20)\n",
" plt.figtext(0.9, 0.075, ‘$x$’)\n",
" plt.figtext(0.075, 0.9, ‘$f(x)$’)\n",
" \n",
"inally, we set the individual x and y tick labels at their respective positions. Note that although we place variable names rendered in LaTeX, the correct numerical values are used for the placing. We also add a grid, which in this particular case is only drawn for the selected ticks highlighted before:\n",
" ax.set_xticks((a, b))\n",
" ax.set_xticklabels((‘$a$’, ‘$b$’))\n",
" ax.set_yticks([func(a), func(b)])\n",
" ax.set_yticklabels((‘$f(a)$’, ‘$f(b)$’))\n",
" plt.grid(True)\n",
"\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Financial Plots"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```\n",
"Financial Plots\n",
"matplotlib also provides a small selection of special finance plots. These, like the candlestick plot, are mainly used to visualize historical stock price data or similar financial time series data. Those plotting capabilities are found in the matplotlib.finance sublibrary:\n",
"```"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"from pandas_datareader import data\n",
"# import matplotlib.finance as mpf\n",
"from matplotlib.finance import candlestick_ohlc\n",
"import matplotlib.dates as mdates\n",
"import matplotlib.ticker as mticker\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"start = (2014, 5, 1)\n",
"end = (2014, 6, 30)\n",
"quotes = panel_data = data.DataReader(['EBAY'], 'google', start, end)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"ohlc = quotes.to_frame()"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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IvUe8R9ImYCNwTLSyw6vL2j3HpJVN/roVMDOzbpqoMO0fEQsAJJ0L/FerdxwRx04w/SzS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\nKM8AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x106df0890>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax1 = plt.subplot2grid((1,1), (0,0))\n",
"candlestick_ohlc(ax1, ohlc.values, width=0.4, colorup='#77d879', colordown='#db3f3f')\n",
"for label in ax1.xaxis.get_ticklabels():\n",
" label.set_rotation(45)\n",
"ax1.xaxis.set_major_formatter(mdates.DateFormatter('%Y-%m-%d'))\n",
"ax1.xaxis.set_major_locator(mticker.MaxNLocator(10))\n",
"ax1.grid(True)\n",
"\n",
"plt.xlabel('Date')\n",
"plt.ylabel('Price')\n",
"plt.title(\"Stock\")\n",
"plt.legend()\n",
"plt.subplots_adjust(left=0.09, bottom=0.20, right=0.94, top=0.90, wspace=0.2, hspace=0)"
]
},
{
"cell_type": "code",
"execution_count": 151,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
" from matplotlib.patches import Polygon def func(x):\n",
"return 0.5 * np.exp(x) + 1\n",
"a, b = 0.5, 1.5 # integral limits x = np.linspace(0, 2)\n",
"y = func(x)\n",
" fig, ax = plt.subplots(figsize=(7, 5))\n",
" plt.plot(x, y, 'b', linewidth=2)\n",
" plt.ylim(ymin=0)\n",
"# Illustrate the integral value, i.e. the area under the function # between the lower and upper limits\n",
"Ix = np.linspace(a, b)\n",
"Iy = func(Ix)\n",
" verts = [(a, 0)] + list(zip(Ix, Iy)) + [(b, 0)]\n",
" poly = Polygon(verts, facecolor='0.7', edgecolor='0.5')\n",
" ax.add_patch(poly)\n",
" plt.text(0.5 * (a + b), 1, r\"$\\int_a^b f(x)\\mathrm{d}x$\",\n",
" horizontalalignment='center', fontsize=20)\n",
" plt.figtext(0.9, 0.075, '$x$')\n",
" plt.figtext(0.075, 0.9, '$f(x)$')\n",
" ax.set_xticks((a, b))\n",
" ax.set_xticklabels(('$a$', '$b$'))\n",
" ax.set_yticks([func(a), func(b)])\n",
" ax.set_yticklabels(('$f(a)$', '$f(b)$'))\n",
" plt.grid(True)\n",
"\n",
"\n"
]
}
],
"source": [
"msg = \"\"\"\n",
" from matplotlib.patches import Polygon def func(x):\n",
"return 0.5 * np.exp(x) + 1\n",
"a, b = 0.5, 1.5 # integral limits x = np.linspace(0, 2)\n",
"y = func(x)\n",
" fig, ax = plt.subplots(figsize=(7, 5))\n",
" plt.plot(x, y, ‘b’, linewidth=2)\n",
" plt.ylim(ymin=0)\n",
"# Illustrate the integral value, i.e. the area under the function # between the lower and upper limits\n",
"Ix = np.linspace(a, b)\n",
"Iy = func(Ix)\n",
" verts = [(a, 0)] + list(zip(Ix, Iy)) + [(b, 0)]\n",
" poly = Polygon(verts, facecolor=‘0.7’, edgecolor=‘0.5’)\n",
" ax.add_patch(poly)\n",
" plt.text(0.5 * (a + b), 1, r”$\\int_a^b f(x)\\mathrm{d}x$”,\n",
" horizontalalignment=‘center’, fontsize=20)\n",
" plt.figtext(0.9, 0.075, ‘$x$’)\n",
" plt.figtext(0.075, 0.9, ‘$f(x)$’)\n",
" ax.set_xticks((a, b))\n",
" ax.set_xticklabels((‘$a$’, ‘$b$’))\n",
" ax.set_yticks([func(a), func(b)])\n",
" ax.set_yticklabels((‘$f(a)$’, ‘$f(b)$’))\n",
" plt.grid(True)\n",
"\n",
"\"\"\"\n",
"fix_ticks(msg)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "oms_mltr",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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