Sorting Algorithms with Explinations of Bubble, and Selection - By Logan.

#### 1. bubbleSortExample(ArrayToBeSorted: number[])
- Takes one argument, your number array, sorts it, slowly
- Bubble Sort is never recommended, but very easy to implement
- Legend has it network television used this for sorting programming. Think of it as that level of speed.
- Numbers Bubble Up. Largest numbers slowly migrate up the array indices.

#### 2. selectionSortExample(ArrayToBeSorted: number[])
- Takes one argument, your number array, sorts it.
- Selection Sort is in place so even if it isn't the fastest for something large, it has simple space requirements.
- Recommended for general use by myself, idk maybe someone better than I recommends it too.
- For if you don't want to remember Quick Sort
- Almost an inverse of Bubble Sort it uses the minimum values to sort.

#### 3. mergeSort(ArrayToBeSorted: number[])
- Takes one argument, yournumber array, sorts it, at decent speed.
- This is used commonplace when data is large enough loading data is an issue.
- This sort tends to be used externally, i.e. not-in-place
- We follow the divide and conquer principle.
- Sorting is easier one at a time, from the ground up.
- Small arrays may be slower than necessary

Bubble Sort Code (Swap Included in Package):

function bubblesort(ArrayToBeSorted: number[]) {
for ( let i = 0; i < ArrayToBeSorted.size - 1; i++; )
{
for ( let j = 0; j < ArrayToBeSorted - ArrayToBeSorted.size - 1; j++ )
{
if (ArrayToBeSorted[j] > ArrayToBeSorted[j+1])
{
Swap (ArrayToBeSorted , j , j+1)
}
}
}
}

<<<<<<< HEAD
=======

Your sorted array by position using bubble sort:

Element Position: 0, Element Value: 0

Element Position: 1, Element Value: 8

Element Position: 2, Element Value: 11

Element Position: 3, Element Value: 17

Element Position: 4, Element Value: 46

Element Position: 5, Element Value: 50

Element Position: 6, Element Value: 64

Element Position: 7, Element Value: 75

Element Position: 8, Element Value: 79

Element Position: 9, Element Value: 92
``

$3

Array Sorting Step-by-Step with Selection Sort

Example Array Original: [46,75,92,8,11,0,64,79,17,50]

We first temporarily hold the first value of the array. 46

Selection Sort next finds the minimum value in the array. 0

This value goes into the first position. 46, and 0 are Swapped.

Selection sort then repeatedly scans until left to right we have smallest to largest

This sorting method is often quick

$3


`

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Selection Sort Code (Swap Included in Package):

function selectionSort(ArrayToBeSorted: number[]) {
var i, j, min
var n = ArrayToBeSorted.length;
for ( i = 0; i < n; i++; ) {
min = i;
for ( j = i+1; j < n; j++) {
if ( ArrayToBeSorted[j] < ArrayToBeSorted[min]) {
min = j;
}
}
if (min != i) {
swap(ArrayToBeSorted, i, min)
}
}
}

<<<<<<< HEAD
function mergeSort(ArrayToBeSorted: number[], left: number, right: number) {
if ( left >= right) {
return; // Returns recursively
}
var middle = left + parseInt((right - left)/2);
mergeSort(ArrayToBeSorted, left, middle);
mergeSort(ArrayToBeSorted, middle+1, right);
merge(ArrayToBeSorted, left, middle, right);
}
`
=======

Your sorted array by position using selection sort:

Element Position: 0, Element Value: 0

Element Position: 1, Element Value: 8

Element Position: 2, Element Value: 11

Element Position: 3, Element Value: 17

Element Position: 4, Element Value: 46

Element Position: 5, Element Value: 50

Element Position: 6, Element Value: 64

Element Position: 7, Element Value: 75

Element Position: 8, Element Value: 79

Element Position: 9, Element Value: 92
``
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