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JavaScript/Sorts/InsertionSort.js at master · TheAlgorithms/JavaScript · GitHub
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InsertionSort.js
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/* In insertion sort, we divide the initial unsorted array into two parts;
* sorted part and unsorted part. Initially the sorted part just has one
* element (Array of only 1 element is a sorted array). We then pick up
* element one by one from unsorted part; insert into the sorted part at
* the correct position and expand sorted part one element at a time.
*/
export
function
insertionSort
(
unsortedList
)
{
const
len
=
unsortedList
.
length
for
(
let
i
=
1
;
i
<
len
;
i
++
)
{
let
j
const
tmp
=
unsortedList
[
i
]
// Copy of the current element.
/* Check through the sorted part and compare with the number in tmp. If large, shift the number */
for
(
j
=
i
-
1
;
j
>=
0
&&
unsortedList
[
j
]
>
tmp
;
j
--
)
{
// Shift the number
unsortedList
[
j
+
1
]
=
unsortedList
[
j
]
}
// Insert the copied number at the correct position
// in sorted part.
unsortedList
[
j
+
1
]
=
tmp
}
}
/**
*
@function
insertionSortAlternativeImplementation
*
@description
InsertionSort is a stable sorting algorithm
*
@param
{
Integer[]
} array - Array of integers
*
@return
{
Integer[]
} - Sorted array
*
@see
[InsertionSort](https://en.wikipedia.org/wiki/Quicksort)
*/
/*
* Big-O Analysis
* Time Complexity
- O(N^2) on average and worst case scenario
- O(N) on best case scenario (when input array is already almost sorted)
* Space Complexity
- O(1)
*/
export
function
insertionSortAlternativeImplementation
(
array
)
{
const
length
=
array
.
length
if
(
length
<
2
)
return
array
for
(
let
i
=
1
;
i
<
length
;
i
++
)
{
// Take current element in array
const
currentItem
=
array
[
i
]
// Take index of previous element in array
let
j
=
i
-
1
// While j >= 0 and previous element is greater than current element
while
(
j
>=
0
&&
array
[
j
]
>
currentItem
)
{
// Move previous, greater element towards the unsorted part
array
[
j
+
1
]
=
array
[
j
]
j
--
}
// Insert currentItem number at the correct position in sorted part.
array
[
j
+
1
]
=
currentItem
}
// Return array sorted in ascending order
return
array
}
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