{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### <center>San Jose State University<br>Department of Applied Data Science<br><br>**DATA 200<br>Computational Programming for Data Analytics**<br><br>Spring 2024<br>Instructor: Ron Mak</center>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2.3 Arithmetic"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Arithmetic operators"
   ]
  },
  {
   "attachments": {
    "a807716f-1d55-4f5e-bcc8-c6d186a82d02.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![Screenshot 2023-01-31 at 10.27.47 PM.png](attachment:a807716f-1d55-4f5e-bcc8-c6d186a82d02.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Multiplication (`*`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "7 * 4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exponentiation (`**`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "2 ** 10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "9 ** (1 / 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### True Division (`/`) vs. Floor Division (`//`)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "7 / 4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Floor division returns the highest **integer** value that is **not greater than** the true quotient. It **truncates** (discards) any fractional part of the true quotient."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "7 // 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "3 // 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "14 // 7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "-13 / 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "-13 // 4  # This one is tricky!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exceptions and Tracebacks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "123 / 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "z + 7"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Remainder Operator"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "17 % 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "7.5 % 3.5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Straight-Line Form"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Grouping Expressions with Parentheses"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "10 * (5 + 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "10 * 5 + 3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "3 + 10 * 5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Operator Precedence Rules\n",
    "\n",
    "1. Expressions in parentheses evaluate first. If parentheses are nested, the innermost\n",
    "parenthesized expressions evaluate first.\n",
    "1. Exponentiation operations evaluate next. Several consecutive exponentiations evaluate from\n",
    "**right to left**.\n",
    "1. Multiplicative operations (`*` `/` `//` and `%`) evaluate next. Several consecutive multiplicative operations evaluate from **left to right**.\n",
    "1. Additive operations (`+` and `-`) evaluate last. Several consecutive additive operations evaluate from **left to right**."
   ]
  },
  {
   "attachments": {
    "53d38dbd-af4d-4360-ae08-9a772f872c78.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Redundant Parentheses\n",
    "\n",
    "#### Even when they are not absolutely necessary, use parentheses to make an expression clearer:\n",
    "```\n",
    "y = a*x**2 + b*x + c\n",
    "```\n",
    "#### Better:\n",
    "```\n",
    "y = (a*(x**2)) + (b*x) + c\n",
    "```\n",
    "\n",
    "&nbsp;&nbsp;&nbsp;&nbsp; ![Screenshot 2023-01-31 at 10.35.28 PM.png](attachment:53d38dbd-af4d-4360-ae08-9a772f872c78.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### **EXERCISE:** Evaluate the expression `3 * (4 - 5)` with and without parentheses. Are the parentheses redundant?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "3*(4 - 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "3*4 - 5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": []
   },
   "source": [
    "#### **EXERCISE:** Evaluate the expressions `4 ** 3 ** 2`, `(4 ** 3) ** 2` and `4 ** (3 ** 2)`. Are any of the parentheses redundant?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "4**3**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "4**9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "(4**3)**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "4**(3**2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "##########################################################################\n",
    "# (C) Copyright 2019 by Deitel & Associates, Inc. and                    #\n",
    "# Pearson Education, Inc. All Rights Reserved.                           #\n",
    "#                                                                        #\n",
    "# DISCLAIMER: The authors and publisher of this book have used their     #\n",
    "# best efforts in preparing the book. These efforts include the          #\n",
    "# development, research, and testing of the theories and programs        #\n",
    "# to determine their effectiveness. The authors and publisher make       #\n",
    "# no warranty of any kind, expressed or implied, with regard to these    #\n",
    "# programs or to the documentation contained in these books. The authors #\n",
    "# and publisher shall not be liable in any event for incidental or       #\n",
    "# consequential damages in connection with, or arising out of, the       #\n",
    "# furnishing, performance, or use of these programs.                     #\n",
    "##########################################################################\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Additional material (C) copyright 2023 by Ronald Mak"
   ]
  }
 ],
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