Added Interpolation and exponential searches in the javascript repo

This commit is contained in:
LefterisD
2020-08-10 18:03:01 +03:00
parent 4cbdc9e072
commit 6dbb849911
2 changed files with 110 additions and 0 deletions

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/*
* Exponential Search
*
* The algorithm consists of two stages. The first stage determines a
* range in which the search key would reside if it were in the list.
* In the second stage, a binary search is performed on this range.
*
*
*
*/
function binarySearch(arr, x, floor, ceiling) {
// Middle index
let mid = Math.floor((floor + ceiling) / 2);
// If value is at the mid position return this position
if (arr[mid] === x) {
return mid;
}
if(floor > ceiling) return -1;
// If the middle element is great than the value
// search the left part of the array
if (arr[mid] > value) {
return binarySearch(arr, value, floor, mid - 1);
//If the middle element is lower than the value
//search the right part of the array
} else {
return binarySearch(arr, value, mid + 1, ceiling);
}
}
function exponentialSearch(arr, length, value) {
// If value is the first element of the array return this position
if (arr[0] == value) {
return 0;
}
// Find range for binary search
let i = 1;
while (i < length && arr[i] <= value) {
i = i * 2;
}
// Call binary search for the range found above
return binarySearch(arr, value, i / 2, Math.min(i, length));
}
let arr = [2, 3, 4, 10, 40, 65 , 78 , 100];
let value = 78;
let result = exponentialSearch(arr, arr.length, value);
if (result < 0) {
console.log("Element not found");
} else {
console.log("Element found at position :" + result);
}