nb03a-plots.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "30b28042-22ad-4fc6-ad09-31cdf0fed206",
   "metadata": {},
   "source": [
    "# `nb03a`: Plots"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "79f08f50-00b2-4a61-8bae-7125f7c3d1ff",
   "metadata": {},
   "source": [
    "# Plotting in Python"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "30cd05c8-e8cc-4101-bb08-bc6e9687bd66",
   "metadata": {},
   "source": [
    "<img src=\"./figures/nb04/matplotlib.svg\" width=\"40%\" />\n",
    "\n",
    "Matplotlib is a Python plotting library for producing publication quality figures. It includes a large collection of predefined plots, along with a comprehensive set of plotting primitives. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "e3b46fbe-3827-4d28-9998-b85e1390f03b",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt  # import matplotlib (interface)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "58cd7d09-9360-4615-ae5f-9f24cb4bd8c7",
   "metadata": {},
   "source": [
    "Matplotlib includes two interfaces for plotting. The first is a MATLAB-like interface and uses a state-based interface. The second is an object-oriented interface that is meant to be more Pythonic. In this notebook, we will focus on the object-oriented interface."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "79ee7eaf-7665-4024-9654-467a1ab79723",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# MATLAB-like interface\n",
    "plt.figure()\n",
    "x = np.linspace(0, 10, 100)\n",
    "plt.plot(x, 5*x + 1, label=\"5x+1\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y\")\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a0b52969-a87f-499d-ae0c-de959b9c2e39",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Object-oriented interface\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "ax.plot(x, 5*x + 1, label=\"5x+1\")\n",
    "ax.set(xlabel=\"x\", ylabel=\"y\")\n",
    "ax.grid()\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "057ee207-4690-4780-97c5-d3cf84359e70",
   "metadata": {},
   "source": [
    "The `Figure` and `Axes` objects are the basic building blocks of a plot. The `Figure` object is the top level container for all the plot elements. We can think of the `Figure` as a canvas onto which we can place any number of `Axes` objects. Each `Axes` object is a container that encloses the plot elements responsible for drawing a plot. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6824250a-eda4-498b-b8ed-0d1472e3ab94",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Multiple plots\n",
    "fig, ax = plt.subplots(1, 2)  # this creates two Axes objects, one for each subplot\n",
    "\n",
    "ax[0].plot(x, np.sin(x))\n",
    "ax[1].plot(x, np.cos(x))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d33bbf1-58d6-4852-bf56-e8682e5e0761",
   "metadata": {},
   "source": [
    "Line plots are the most common type of plots. They can be used to plot a function, or to represent the relationship between two variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "0480074f-942c-49d3-b2cd-566a0c0bcef7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Line plot\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "\n",
    "x = np.linspace(0, 10, 50)\n",
    "ax.plot(x, np.sin(x), label=r\"$\\sin(x)$\")  # check ax.plot?\n",
    "ax.plot(x, np.cos(x), label=r\"$\\cos(x)$\")\n",
    "ax.set(xlim=(0, 8), ylim=(-2, 2), xlabel=r\"$x$\", title=\"a simple plot\")\n",
    "ax.legend()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5e17c88",
   "metadata": {},
   "source": [
    "Bar plots are used to compare values across categories. They are particularly useful for comparing values across a small number of discrete categories. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4c27e250-ec88-479c-8aee-b68bcd5805df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Bar plots\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "\n",
    "x = [3, 4, 5, 4, 2]\n",
    "ax.barh([\"first\", \"second\", \"third\", \"fourth\", \"fifth\"], x)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a446fae",
   "metadata": {},
   "source": [
    "Scatter plots are used to represent the relationship between two variables."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "fe167a47-1e88-4408-8323-5e819f507c17",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Scatter plot\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "\n",
    "x = np.random.randn(500)\n",
    "y = np.sin(x) + 0.25 * np.random.randn(*x.shape)\n",
    "ax.scatter(x, y)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2ba857ac",
   "metadata": {},
   "source": [
    "Boxplots are used to visualize the distribution of a continuous variable in terms of median, quartiles, and outliers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0cbaf80a-e133-474f-ab59-7bfde2ccf921",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Boxplot\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "\n",
    "ax.boxplot([x, y], labels=[\"x\", \"y\"])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fbd30a4c",
   "metadata": {},
   "source": [
    "Just like boxplots, histograms are used to visualize the distribution of a continuous variable. However, histograms are better suited for large number of observations. They are also better suited for visualizing the distribution of a continuous variable in terms of its shape."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "a62ff317-d6b9-48a3-996c-d5c5e53680ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Histograms\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "\n",
    "x = np.random.randn(500)\n",
    "ax.hist(x, bins=30, range=(-10,10))\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "bf75da75-bee7-4e1b-916b-2ac247bb614c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "\n",
    "x = np.random.randn(500)\n",
    "y = np.sin(x) + 0.25 * np.random.randn(*x.shape)\n",
    "\n",
    "kwargs = dict(bins=20, alpha=0.5, density=True)\n",
    "\n",
    "ax.hist(x, **kwargs)\n",
    "ax.hist(y, **kwargs)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "528aa176",
   "metadata": {},
   "source": [
    "Matplotlib also provides support for error bars, image plots or contour plots, among others."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "8c5c1ca6-12d3-44f0-bb0a-bc1d1ed74c38",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Error bars\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "dy = np.random.rand(100)\n",
    "y = np.sin(x) + dy * np.random.randn(*x.shape)\n",
    "ax.errorbar(x, y, yerr=dy, fmt=\"o\")\n",
    "\n",
    "plt.show()\n",
    "\n",
    "# see also: fill_between"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "235b1c24-042e-4b76-ae44-bd98852123cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Arrays as images\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "\n",
    "x = np.linspace(-5, 5, 21)\n",
    "y = np.linspace(-5, 5, 21)\n",
    "# full coordinate arrays\n",
    "xx, yy = np.meshgrid(x, y)\n",
    "zz = np.sqrt(xx**2 + yy**2)\n",
    "\n",
    "ax.imshow(zz)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "1f610824-cec6-407a-b1a5-1a0a845be7c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Contours\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "\n",
    "contour = ax.contourf(zz)\n",
    "ax.set(aspect=\"equal\")\n",
    "fig.colorbar(contour)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "db51e9ff-6bbd-4c25-9599-420753563d6d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Save figure\n",
    "fig.savefig(\"myplot.pdf\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35f5f2ef-9010-42c2-81e4-a86d6477b7cf",
   "metadata": {},
   "source": [
    "<div class=\"alert alert-success\">\n",
    "    \n",
    "**Exercise**. \n",
    "- Produce a plot of $f(x) = \\exp(-\\frac{x}{10})\\sin(\\pi x)$ and $g(x) = x\\exp(-\\frac{x}{3})$ over the interval $[0, 10]$. \n",
    "- Use a dashed line for $f(x)$ and a solid line for $g(x)$.\n",
    "- Include labels for the $x$-axis and $y$-axis and a legend explaining which line is which plot. \n",
    "- Save the plot as a PNG file. \n",
    "    \n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "96bc038b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "f = lambda x: np.exp(-x/10)*np.sin(np.pi*x)\n",
    "g = lambda x: x*np.exp(-x/3)\n",
    "\n",
    "ax.plot(x, f(x), \"--\", label=r\"$f(x)$\")\n",
    "ax.plot(x, g(x), \"-\", label=r\"$g(x)$\")\n",
    "ax.set(xlabel=r\"$x$\", ylabel=r\"$y$\")\n",
    "\n",
    "ax.legend()\n",
    "fig.savefig(\"nb03a-plot.png\")\n",
    "\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "dats0001",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.18"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}