{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Project Examples"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Average Function with Vectors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We are creating a function that takes 2 vectors, x and N, where x contains the values and N contains the number of times each value in x appears. We want to find the average of the values in x. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "% this function is written and saved in a script file\n",
    "\n",
    "%function avg = myavg(x,N)\n",
    "\n",
    "%sizex = size(x); % recall these return 2 values, we want the 2nd value\n",
    "%sizeN = size(n);\n",
    "\n",
    "%if(sizex(2) ~= sizeN(2))\n",
    "    %beep\n",
    "    %disp('Error: number of elements does not match!')\n",
    "%else\n",
    "    %total = sum(N); % total # of elements\n",
    "    %s = x.*N; % element-by-element multiplication\n",
    "    %avg = sum(s)/total;\n",
    "%end\n",
    "%end    "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ans =\n",
      "\n",
      "   55.8058\n"
     ]
    }
   ],
   "source": [
    "x = [12 5 34 87 35 90 124];\n",
    "N = [2 4 56 12 6 9 14];\n",
    "myavg(x,N)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Function to Evaluate Polynomial for any Number"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "% the following function is written and saved to a script file\n",
    "\n",
    "% function output = poly(x)\n",
    "\n",
    "% output = 1234*x.^3-43388*x.^2+531*x-123;\n",
    "\n",
    "% end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ans =\n",
      "\n",
      "    24611322\n"
     ]
    }
   ],
   "source": [
    "% now we can solve lengthy and complicated polynomials quickly\n",
    "poly(45)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ans =\n",
      "\n",
      "      -41746     -162741\n",
      "     -355704     -613231\n"
     ]
    }
   ],
   "source": [
    "% this extends to using matrices as well\n",
    "poly([1 2; 3 4])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Automate Calculating Area of Triangle for any Base/Height "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This function will take user input to calculate the area. In order to accomplish this, we need to use the **input()** function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "% example usage of input()\n",
    "a = input('Enter the value for a: ')\n",
    "\n",
    "% Jupyter notebook doesnt allow for user input\n",
    "\n",
    "% the result in a MATLAB command window is:\n",
    "% Enter the value for a: 4\n",
    "\n",
    "% a =\n",
    "%     4\n",
    "\n",
    "% providing matrices will also work"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "% we can also read strings \n",
    "Name = input('What is your name: ','s')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "% Here is the code for calculating area of triangle with user input \n",
    "b = input('Enter the value for the base: ');\n",
    "h = input('Enter the value for the height: ');\n",
    "area = 0.5 * b * h;\n",
    "disp(['The value for area is: ' num2str(area)])"
   ]
  }
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