{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bc77b61b",
   "metadata": {},
   "source": [
    "# Lecture 3: Plots and Presentation with matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fcaa3977",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import numpy and matplotlib\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1055365d",
   "metadata": {},
   "source": [
    "# A simple plot"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c31db90",
   "metadata": {},
   "source": [
    "Plot $sin(x)$ on the domain $[0, 2\\pi]$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "6e0dd635",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10f2ffb10>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(0, 2* np.pi, 200)\n",
    "ys = np.sin( xs )\n",
    "plt.plot(xs, ys, 'r--')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "384b4bc0",
   "metadata": {},
   "source": [
    "Add a faster oscillation: $\\sin(x) \\sin(10x)$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "cd80d9b4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10f4e1bd0>]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(0, 2* np.pi, 200)\n",
    "y1s = np.sin( xs )\n",
    "y2s = y1s * np.sin(10 * xs)\n",
    "plt.plot(xs, y1s, 'b--')\n",
    "plt.plot(xs, -y1s, 'b--')\n",
    "plt.plot(xs, y2s, 'r-')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ff762e5",
   "metadata": {},
   "source": [
    "Improve the plot in several ways:\n",
    "- change the line style, width and colour\n",
    "- add a title\n",
    "- label the axes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ad2db259",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(0, 2* np.pi, 200)\n",
    "y1s = np.sin( xs )\n",
    "y2s = y1s * np.sin(10 * xs)\n",
    "plt.plot(xs, y1s, linewidth = 2, color = 'purple', linestyle = '--')\n",
    "plt.plot(xs, -y1s, 'b--')\n",
    "plt.plot(xs, y2s, 'r-')\n",
    "plt.xlabel(r\"$\\theta$\", fontsize=16)\n",
    "\n",
    "plt.title(\"My first plot\", fontsize=18);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "09bad9ef",
   "metadata": {},
   "source": [
    "**Raw Strings:** Use the r prefix (e.g., r'\\theta') to prevent Python from interpreting backslashes as escape characters like tabs."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cb808e9b",
   "metadata": {},
   "source": [
    "Further improvements:\n",
    "- Change the $x$ ticks to multiples of $\\pi / 2$.\n",
    "- Add a legend and put in the right position\n",
    "- Move the axes\n",
    "\n",
    "Now save the plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3f757ef0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(0, 2* np.pi, 200)\n",
    "y1s = np.sin( xs )\n",
    "y2s = y1s * np.sin(10 * xs)\n",
    "plt.plot(xs, y1s, linewidth = 2, color = 'purple', linestyle = '--', label=r'$\\sin(x)$')\n",
    "plt.plot(xs, -y1s, 'b--')\n",
    "plt.plot(xs, y2s, 'r-', label=r'$\\sin(x) \\sin(10x)$')\n",
    "plt.xlabel(r\"$\\theta$\", fontsize=16)\n",
    "plt.title(\"My first plot\", fontsize=18)\n",
    "plt.legend(loc = 1)\n",
    "plt.xlim(0, 2.5*np.pi)\n",
    "\n",
    "xpos = [k*np.pi/2 for k in range(5)]\n",
    "xticklabels = [r'$0$', r'$\\pi/2$', r'$\\pi$', r'$3\\pi/2$', r'$2\\pi$']\n",
    "plt.xticks(xpos, xticklabels, fontsize=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e9bbbfee",
   "metadata": {},
   "source": [
    "# Multi-plots\n",
    "Show more than one plot in the same figure"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "119edc44",
   "metadata": {},
   "source": [
    "The object-oriented paradigm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "6f0330d7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'matplotlib.figure.Figure'>\n",
      "<class 'matplotlib.axes._axes.Axes'>\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots( figsize = (6,4) )\n",
    "print(type(fig))\n",
    "print(type(ax))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6d40d45b",
   "metadata": {},
   "source": [
    "Use two subplots to show $e^{-x^2}$ and $e^{-x^4}$ on the domain [-3,3]."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1f66fed0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'right plot')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 800x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(8,3))\n",
    "xs = np.linspace(-3,3,200)\n",
    "ax[0].plot(xs, np.exp(-xs**2))\n",
    "ax[1].plot(xs, np.exp(-xs**4))\n",
    "\n",
    "ax[0].set_title(\"left plot\")\n",
    "ax[1].set_title(\"right plot\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ada5cd14",
   "metadata": {},
   "source": [
    "Make a figure with a 3 x 3 grid of plots showing $sin(k x)$ for $k \\in 1, 2, \\ldots 9$. \n",
    "\n",
    "Use a loop to do this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "6882dc3a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 900x900 with 9 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(3,3,figsize=(9,9))\n",
    "axs = ax.flatten()\n",
    "for k in range(1, len(axs)+1):\n",
    "    axs[k-1].plot(xs, np.sin(k*xs), '-')\n",
    "    axs[k-1].set_title('$\\\\sin({%i}x)$' % k)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7be7bef6",
   "metadata": {},
   "source": [
    "# Parametric plots\n",
    "For example, a circle is defined by $x = \\cos(t)$, $y = \\sin(t)$ where $t$ is the parameter. These are also known as **implicit plots**."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b7281a26",
   "metadata": {},
   "source": [
    "Plot a circle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "372ebd77",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10fb4f4d0>]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts = np.linspace(0, 2*np.pi, 200)\n",
    "xs = np.cos(ts)\n",
    "ys = np.sin(ts)\n",
    "fig, ax = plt.subplots( figsize = (4,4))\n",
    "ax.plot(xs, ys, 'r-')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dcdf0ecb",
   "metadata": {},
   "source": [
    "Plot a figure-of-eight, which is an example of a Lissajous curve."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "876971c2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x10fbb6210>]"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts = np.linspace(0, 40*np.pi, 4000)\n",
    "n, m = 3, 11\n",
    "\n",
    "xs = np.cos(n*ts)\n",
    "ys = np.sin(m*ts)\n",
    "fig, ax = plt.subplots( figsize = (4,4))\n",
    "ax.plot(xs, ys, 'r-')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35946e60",
   "metadata": {},
   "source": [
    "# Contour plots"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ecf3f22f",
   "metadata": {},
   "source": [
    "Another way to define circles is as the solutions of $x^2 + y^2 = r^2$.\n",
    "\n",
    "Let's define $f(x,y) = x^2 + y^2$ and plot its contours, which are circles.\n",
    "\n",
    "Show circles with $r = 1, 2, 3, 4, 5$.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "b1eab15d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.contour.QuadContourSet at 0x10f3f1d30>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xs = np.linspace(-2, 2, 200)\n",
    "ys = np.linspace(-2, 2, 200)\n",
    "x, y = np.meshgrid(xs, ys)\n",
    "f = x**2 + y**2\n",
    "plt.contour(f, levels=[(r/5)**2 for r in range(10)])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ad86ae1",
   "metadata": {},
   "source": [
    "# Scatter plots + Monte Carlo integration"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "901727b8",
   "metadata": {},
   "source": [
    "Randomly generate N=200 points $(x_n,y_n)$ in the square $[0,1]^2$ and show them on a scatter plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "fcd0cf49",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x10f3f27b0>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 200\n",
    "xs = np.random.rand(N)\n",
    "ys = np.random.rand(N)\n",
    "plt.scatter(xs, ys)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9d71ba68",
   "metadata": {},
   "source": [
    "Colour the points inside the unit circle in blue, and those outside in red."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "89e3f366",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x10ff45810>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 200\n",
    "xys = np.random.rand(N, 2)\n",
    "xs = xys[:,0]\n",
    "ys = xys[:,1]\n",
    "mask = xs**2 + ys**2 <= 1\n",
    "mask2 =  xs**2 + ys**2 > 1\n",
    "plt.scatter(xs[mask], ys[mask], color = 'blue')\n",
    "plt.scatter(xs[mask2], ys[mask2], color = 'red')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76107727",
   "metadata": {},
   "source": [
    "Estimate the value of $\\pi$ from the ratio of the number of points inside the circle to the total number of points.\n",
    "\n",
    "Try increasing the value of $N$ to improve the estimate."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "d35f78dd",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "78129497",
   "metadata": {},
   "source": [
    "# Histograms"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55f31afe",
   "metadata": {},
   "source": [
    "1. Generate $n = 100$ random numbers in the range $[0,1)$ and add them up.\n",
    "2. Do this $N = 1000$ times.\n",
    "3. Plot a histogram of the sums (it should look a bit like the normal distribution)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "75d68aba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n = 100\n",
    "N = 1000\n",
    "data = np.array([np.random.rand(n).sum() for _ in range(N)])\n",
    "plt.hist(data, bins=20);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "990f3f0b",
   "metadata": {},
   "source": [
    "# Pie charts"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "edc95a78",
   "metadata": {},
   "outputs": [],
   "source": [
    "# We didn't have time to finish this - please try it for yourself."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "90322554",
   "metadata": {},
   "source": [
    "# The Newton-Raphson method"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a23fd409",
   "metadata": {},
   "source": [
    "To find a root $\\hat{z}$ of a (differentiable) complex function $f(z)$, such that $f(\\hat{z}) = 0$, one can use the **Newton-Raphson method** to generate a sequence $z_0, z_1, \\ldots z_n, z_{n+1}, \\ldots$ that **may** converge on the root.\n",
    "\n",
    "The sequence is generated from a starting value $z_0$ and the recurrence \n",
    "$$\n",
    "z_{n+1} = z_n - \\frac{f(z_n)}{f'(z_n)}.\n",
    "$$\n",
    "\n",
    "Let's apply this to find the cubic roots of unity, i.e., the solutions to $z^3 = 1$, or equivalently, $f(z) = 0$ where $f(z) \\equiv z^3 - 1$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d880818",
   "metadata": {},
   "source": [
    "We know that there are three roots: $\\hat{z} = 1$ and $\\hat{z} = \\frac{1}{2} (-1 \\pm \\sqrt{3} i)$.\n",
    "\n",
    "Which root is found? It depends on the starting value $z_0$. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "436a5899",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "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": "3.13.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
