C Program to implement the Newton- Gregory forward interpolation. Newtons – Gregory forward difference formula is a finite difference identity capable of giving an interpolated value between the tabulated points {fk} in terms of the first value f0 and powers of the forward difference Δ. In this program we used the multidimensional arrays and arrays …
Floyd’s triangle in C is a right-angled triangular arrangement of consecutive natural numbers. Row 1 contains 1 number, row 2 contains 2, row 3 contains 3, and so on. It is named after Robert W. Floyd, who used it to teach loop control and nested iteration. The total numbers through row n is 1 + …
Measuring program execution time in C helps you benchmark algorithms and quantify how long different approaches take. The standard tool is the clock() function from <time.h>, which measures CPU time consumed by the program — not wall-clock time. Two snapshots (before and after) divided by CLOCKS_PER_SEC give you the elapsed time in seconds. clock() and …
Shell sort is a generalization of insertion sort that sorts elements far apart before sorting adjacent ones. Invented by Donald Shell in 1959, it repeatedly applies insertion sort on sublists of decreasing “gap” sizes until the gap reaches 1 — at which point one final insertion sort on the nearly-sorted array runs in near-linear time. …
Merge sort in C is a classic divide-and-conquer sorting algorithm that guarantees O(n log n) time in all cases. It splits an array into halves, recursively sorts each half, then merges the sorted halves back together. Unlike bubble sort or insertion sort, merge sort never degrades to O(n²) — making it the preferred choice when …
Insertion sort is one of the simplest sorting algorithms and works exactly the way you sort a hand of playing cards. You take one card at a time and insert it into its correct position among the cards already sorted in your hand. It sorts the array one element at a time, building the sorted …