{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9b192393",
   "metadata": {},
   "source": [
    "# NumPy Broadcasting "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0fac30a0",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d039fe7",
   "metadata": {},
   "source": [
    "1) Prices of and increase   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f8362e63",
   "metadata": {},
   "outputs": [],
   "source": [
    "prices = np.array([2.164, 2.274, 2.341]) # gasoline 95 oct, 98 oct, diesel\n",
    "inc_proc = np.array([0.0, 1.5, 2, 2.5,3.0]) # price increase in percent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0f0ae5e9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.    1.015 1.02  1.025 1.03 ]\n"
     ]
    }
   ],
   "source": [
    "inc = 1.0+inc_proc/100.0\n",
    "print(inc)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0163332c",
   "metadata": {},
   "source": [
    "Adding extra dimension with `None`, which adds a 1 in shape.\n",
    "\n",
    "`prices` shape is (3,), `inc` shape is (5,). We want every element in `price` multiplied by every elem in `inc`,\n",
    "a 3x5 array. Use NumPy broadcasting:\n",
    "(3, 1)*(5,) gives (3,5)\n",
    "\n",
    "| orig. | |add dim.| | |\n",
    "  |---:|---|---|---|:---| \n",
    "  |(3,)|$\\to$ | (3,1) |$\\to$|(3,1)|\n",
    "  |(5,) | $\\to$| | $\\to$| (1,5)|\n",
    "  | broadcasts to |||| (3,5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "ac1dd13c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(3, 5)\n",
      "[[2.164    2.19646  2.20728  2.2181   2.22892 ]\n",
      " [2.274    2.30811  2.31948  2.33085  2.34222 ]\n",
      " [2.341    2.376115 2.38782  2.399525 2.41123 ]]\n"
     ]
    }
   ],
   "source": [
    "result = prices[:, None] * inc\n",
    "print(result.shape)\n",
    "print(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "493beb27",
   "metadata": {},
   "source": [
    "Other ways:\n",
    "\n",
    "(3,) * (1, 5) doesn't work \n",
    "\n",
    " \n",
    " | orig. | |add dim.| | |\n",
    "  |---:|---|---|---|:---| \n",
    "  |(3,)|$\\to$ | $\\to$  |-$\\to$(1,3)|\n",
    "  |(5,) | $\\to$ |(1,5) | -$\\to$ (1,5)|\n",
    "  | won't broadcast |||| \n",
    "\n",
    "  3 and 5 don't match and neither is 1 => no broadcasting  \n",
    "\n",
    "\n",
    "but \n",
    "\n",
    "| orig. | |add dim.| | |\n",
    "  |---:|---|---|---|:---| \n",
    "  |(3,)|$\\to$| $\\to$  |$\\to$|(1,3)|\n",
    "  |(5,) | $\\to$ |(5,1) | $\\to$| (5,1)|\n",
    "  | broadcasts to |||| (5,3)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "cd80185f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5, 3)\n",
      "[[2.164    2.274    2.341   ]\n",
      " [2.19646  2.30811  2.376115]\n",
      " [2.20728  2.31948  2.38782 ]\n",
      " [2.2181   2.33085  2.399525]\n",
      " [2.22892  2.34222  2.41123 ]]\n"
     ]
    }
   ],
   "source": [
    "result2 = prices*inc[:, None]\n",
    "print(result2.shape)\n",
    "print(result2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "93e13a42",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(inc_proc, result[0], label='Gasoline 95 oct')\n",
    "ax.plot(inc_proc, result[1], label='Gasoline 98 oct')\n",
    "ax.plot(inc_proc, result[2], label='Diesel')\n",
    "ax.set_xlabel('Price Increase (%)')\n",
    "ax.set_ylabel('Price (EUR)')\n",
    "ax.set_title('Fuel Prices vs Price Increase')\n",
    "ax.legend()\n",
    "plt.show()"
   ]
  }
 ],
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