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Interpolation Sorting algorithm has been included #37

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59 changes: 59 additions & 0 deletions Search/Interpolation_Search/Interpolation_search.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,59 @@
// C++ program to implement interpolation search
#include <iostream>
using namespace std;

// If x is present in arr[0..n-1], then returns
// index of it, else returns -1.
int interpolationSearch(int arr[], int n, int x)
{
// Find indexes of two corners
int lo = 0, hi = (n - 1);

// Since array is sorted, an element present
// in array must be in range defined by corner
while (lo <= hi && x >= arr[lo] && x <= arr[hi])
{
if (lo == hi)
{
if (arr[lo] == x) return lo;
return -1;
}
// Probing the position with keeping
// uniform distribution in mind.
int pos = lo + (((double)(hi - lo) /
(arr[hi] - arr[lo])) * (x - arr[lo]));

// Condition of target found
if (arr[pos] == x)
return pos;

// If x is larger, x is in upper part
if (arr[pos] < x)
lo = pos + 1;

// If x is smaller, x is in the lower part
else
hi = pos - 1;
}
return -1;
}

// Driver Code
int main()
{
// Array of items on which search will
// be conducted.
int arr[] = {10, 12, 13, 16, 18, 19, 20, 21,
22, 23, 24, 33, 35, 42, 47};
int n = sizeof(arr)/sizeof(arr[0]);

int x = 18; // Element to be searched
int index = interpolationSearch(arr, n, x);

// If element was found
if (index != -1)
cout << "Element found at index " << index;
else
cout << "Element not found.";
return 0;
}
19 changes: 18 additions & 1 deletion Search/Interpolation_Search/README.md
Original file line number Diff line number Diff line change
@@ -1 +1,18 @@
Content
# Interpolation Search

## Algorithm
```c
STEP 1:In a loop, calculate the value of “pos” using the probe position formula.
STEP 2:If it is a match, return the index of the item, and exit.
STEP 3:If the item is less than arr[pos], calculate the probe position of the left sub-array. Otherwise calculate the same in the right sub-array.
STEP 4:Repeat until a match is found or the sub-array reduces to zero.
```
---
## Explanation
The Interpolation Search is an improvement over Binary Search for instances, where the values in a sorted array are uniformly distributed.
Binary Search always goes to the middle element to check.
On the other hand, interpolation search may go to different locations according to the value of the key being searched.
For example, if the value of the key is closer to the last element, interpolation search is likely to start search toward the end side.


## [Interpolation search c++ implementation](Interpolation_search.cpp)