PHP | gmp_powm() Function

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The gmp_powm() is an inbuilt function in PHP which is used to calculate the number raised to a power of two GMP numbers modulo of another GMP number.(GNU Multiple Precision: For large numbers)
Syntax:

gmp_pow( $base, $exp, $mod)

Parameters: The function accepts three mandatory parameters $base, $exp and $mod

$base – It is the base number.
$exp – It is the power which is raised to the base.
$mod – It returns the remainder after division with $mod

Note: All the parameters are a GMP object in PHP version 5.6 and later, or we are also allowed to pass a numeric string provided that it is possible to convert that string to a number.
Return Value: This function returns a positive GMP number which is equivalent to (base^exp)%mod
Examples:

Input : $base = "2" $exp = "2" $mod = 3
Output : 1

Input : $base = "4" $exp = "2" $mod = 10
Output : 6

Below programs illustrate the gmp_powm() function:
Program 1: The program below demonstrates the working of gmp_powm() function when GMP number are passed as arguments.

php

<?php
// PHP program to calculate power raised 
// to a number modulo mod
 
// GMP number as arguments 
$base = gmp_init("100", 2);
$exp = gmp_init("10", 2); 
$mod = gmp_init("1010", 2);
 
// function calculates the pow raised to 
// number modulo mod 
$powm = gmp_powm($base, $exp, $mod);  // 4^2%10 
 
// gmp_strval converts GMP number to string 
// representation in given base(default 10).
echo gmp_strval($powm, 2);
?>

Output:

Program 2: The program below demonstrates the working of gmp_powm() when numeric string are passed as arguments.

php

<?php
// PHP program to calculate power raised 
// to a number modulo m
 
// numeric strings as arguments
$base = "4";
$exp = "2"; 
$mod = "10";
 
// function calculates the pow raised to 
// number  4^2%10
$powm = gmp_powm($base, $exp, $mod);
 
echo $powm;
?>