tools/matplotlib.ipynb

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 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Matplotlib\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np \n",
    "import matplotlib as mpl \n",
    "import matplotlib.pyplot as plt \n",
    "%matplotlib inline \n",
    "x = np.linspace(0, 10, 100)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Draw a simple plot and save\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "\n",
    "fig = plt.figure() \n",
    "plt.plot(x, np.sin(x), '-')\n",
    "plt.plot(x, np.cos(x), '--')\n",
    "plt.savefig('myfig.pdf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Object oriented interface"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "[<matplotlib.lines.Line2D at 0x7f94192e5730>]"
     },
     "metadata": {},
     "execution_count": 11
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "# ax will be an array of two axes object\n",
    "fig, ax = plt.subplots(2)\n",
    "x = np.linspace(0, 10, 100)\n",
    "ax[0].plot(x, np.sin(x), '-')\n",
    "ax[1].plot(x, np.cos(x), '--')\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## change plotting style\n",
    "\n",
    "In matplotlib, an axe looks exactly like the following.\n",
    "A figure includes every thing: axes, text, plot, labels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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     },
     "metadata": {}
    }
   ],
   "source": [
    "plt.style.use('seaborn-whitegrid')\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adjust line color and styles\n",
    "\n",
    "use `plot( ..., color='red, linestyle='solid')`. The following example shows shortened version of that.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "[<matplotlib.lines.Line2D at 0x7f9600a594f0>]"
     },
     "metadata": {},
     "execution_count": 6
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "\n",
    "plt.style.use('seaborn-whitegrid')\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "ax.plot(x, x+0, '-g') # solid green\n",
    "ax.plot(x, x+1, '--c') # dashed cyan\n",
    "ax.plot(x, x+2, ':r') # dotted red"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Adjust Axes limits\n",
    "\n",
    "This is done by\n",
    "```\n",
    "plt.xlim(-1, 11)\n",
    "plt.ylim(-1.5, 1.5)\n",
    "```\n",
    "\n",
    "You can \"tighten\" the bound of axis as it usually leave some white space around:\n",
    "\n",
    "```\n",
    "plt.axis('tight')\n",
    "plt.axis('equal')\n",
    "```\n",
    "the second command will adjust aspect ratio to be \"equal\" for x and y axis.\n",
    "\n",
    "\n",
    "## Labeling plot\n",
    "\n",
    "you can use `plt.plot( ..., label=\"sin(x)\") to label a plot. Or define them separately.\n",
    "\n",
    "\n",
    "```\n",
    "plt.title(\"My title\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel('y')\n",
    "plt.legend()\n",
    "```\n",
    "\n",
    "The last command above is to show the legend.\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scatter plot\n",
    "\n",
    "You can supply a 3rd parameter to `plot` command to make it a scatter plot instead of line plot. For example: `plt.plot(x, y, 'o', color='black')`. A second and more powerful command is `plt.scatter(x,y, marker=...)` as show below.\n",
    "\n",
    "The following example shows various marker you can use (From VanderPls Python Data book)\n",
    "\n"
   ]
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     },
     "metadata": {}
    }
   ],
   "source": [
    "#plt.figure(figsize=(10,6))\n",
    "rng = np.random.RandomState(0)\n",
    "for marker in ['o', '.', ',', 'x', '+', 'v', '^', '<', '>', 's', 'd']:\n",
    "    plt.scatter(rng.rand(5), rng.rand(5), marker=marker,\n",
    "        label=f\"marker={marker}\")\n",
    "plt.legend(numpoints=1)\n",
    "plt.xlim(0, 1.8)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Customize size, color and transparency in scatter plot\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<matplotlib.colorbar.Colorbar at 0x7f95d03dbd00>"
     },
     "metadata": {},
     "execution_count": 18
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "rng = np.random.RandomState(0)\n",
    "x = rng.randn(100) # normal distribution\n",
    "y = rng.randn(100)\n",
    "colors = rng.rand(100)\n",
    "sizes = 1000*colors # the example from book seems off: sizes = 1000*rng.rand(1000)\n",
    "plt.scatter(x,y, c=colors, s=sizes, alpha=0.3, cmap='viridis')\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### using iris dataset, viz 4 dimension data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<matplotlib.colorbar.Colorbar at 0x7f961220a550>"
     },
     "metadata": {},
     "execution_count": 27
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 2 Axes>",
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     },
     "metadata": {}
    }
   ],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "iris = load_iris()\n",
    "features = iris.data.T\n",
    "\n",
    "# iris.feature_names\n",
    "#\n",
    "# feature[0]: septal length\n",
    "# feature[1]: septal width\n",
    "# feature[2]: petal length\n",
    "# feature[3]: petal width\n",
    "# target: species of the flower\n",
    "\n",
    "# in the following code, we map:\n",
    "# feature[0] to x\n",
    "# feature[1] to y\n",
    "# feature[3] to size\n",
    "# feature[3] to color\n",
    "\n",
    "plt.scatter(features[0], features[1], alpha=0.2,\n",
    "    s=100*features[3], c=iris.target, cmap='viridis')\n",
    "\n",
    "plt.xlabel(iris.feature_names[0])\n",
    "plt.ylabel(iris.feature_names[1])\n",
    "plt.colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Errors\n",
    "\n",
    "\n",
    "### Basic errorbar\n",
    "\n",
    "the following code make errorbars lighter than points themselves.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "<ErrorbarContainer object of 3 artists>"
     },
     "metadata": {},
     "execution_count": 34
    },
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "x = np.linspace(0, 10, 50)\n",
    "dy = 0.8\n",
    "y = np.sin(x) + dy*np.random.randn(50)\n",
    "plt.errorbar(x,y, yerr=dy, fmt='o', color='black',\n",
    "    ecolor='lightgray', elinewidth=3, capsize=4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### continuous error \n",
    "\n"
   ]
  }
 ]
}