Skip to content

Added Binary Exponentiation Fixes:#1943 #1945

New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Merged
merged 3 commits into from
Nov 16, 2020
Merged
Changes from all commits
Commits
File filter

Filter by extension

Filter by extension

Conversations
Failed to load comments.
Loading
Jump to
Jump to file
Failed to load files.
Loading
Diff view
Diff view
46 changes: 46 additions & 0 deletions Maths/BinaryPow.java
Original file line number Diff line number Diff line change
@@ -0,0 +1,46 @@
package Maths;

public class BinaryPow {
/**
* Calculate a^p using binary exponentiation
* [Binary-Exponentiation](https://cp-algorithms.com/algebra/binary-exp.html)
*
* @param a the base for exponentiation
* @param p the exponent - must be greater than 0
* @return a^p
*/
public static int binPow(int a, int p) {
int res = 1;
while (p > 0) {
if ((p & 1) == 1) {
res = res * a;
}
a = a * a;
p >>>= 1;
}
return res;
}

/**
* Function for testing binary exponentiation
* @param a the base
* @param p the exponent
*/
public static void test(int a, int p) {
int res = binPow(a, p);
assert res == (int) Math.pow(a, p) : "Incorrect Implementation";
System.out.println(a + "^" + p + ": " + res);
}

/** Main Function to call tests
*
* @param args System Line Arguments
*/
public static void main(String[] args) {
// prints 2^15: 32768
test(2, 15);

// prints 3^9: 19683
test(3,9);
}
}