Fast Exponentiation

𝔸𝕝𝕘𝕖𝕣

Fast Exponentiation

<?php
/**
 * This functions computes an exponent by doing repeated squares
 *
 * @param Integer $base the base
 * @param Integer $exponent the exponent (ie the number of times that the base is multiplied by itself)
 * @return Integer
 */
function fastExponentiation(int $base, int $exponent)
{
    if ($exponent == 0) {
		return 1;
	}   

	if ($exponent == 1) {
		return $base;
	}

	if ($exponent % 2 == 0) {
		return fastExponentiation($base*$base, $exponent/2);
	} else {
		return $base * fastExponentiation($base*$base, ($exponent-1)/2);
	}
}

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We are a group of programmers helping each other build new things, whether it be writing complex encryption programs, or simple ciphers. Our goal is to work together to document and model beautiful, helpful and interesting algorithms using code. We are an open-source community - anyone can contribute. We check each other's work, communicate and collaborate to solve problems. We strive to be welcoming, respectful, yet make sure that our code follows the latest programming guidelines.