Editing Modular exponentiation (section)

== Software implementations ==
Because modular exponentiation is an important operation in computer science, and there are efficient algorithms (see above) that are much faster than simply exponentiating and then taking the remainder, many programming languages and arbitrary-precision integer libraries have a dedicated function to perform modular exponentiation:
* [[Python (programming language)|Python]]'s built-in <code>pow()</code> (exponentiation) function [https://docs.python.org/library/functions.html#pow] takes an optional third argument, the modulus
* [[.NET Framework]]'s <code>BigInteger</code> class has a <code>[http://msdn.microsoft.com/en-us/library/system.numerics.biginteger.modpow%28v=vs.100%29.aspx#pow ModPow()]</code> method to perform modular exponentiation
* [[Java (programming language)|Java]]'s <code>java.math.BigInteger</code> class has a {{Javadoc:SE|name=modPow()|java/math|BigInteger|modPow(java.math.BigInteger,java.math.BigInteger)}} method to perform modular exponentiation
* [[MATLAB]]'s <code>powermod</code> function from Symbolic Math Toolbox
*Wolfram Language has the [https://reference.wolfram.com/language/ref/PowerMod.html PowerMod] function
* [[Perl]]'s <code>Math::BigInt</code> module has a <code>bmodpow()</code> method [http://perldoc.perl.org/Math/BigInt.html#bmodpow%28%29] to perform modular exponentiation
* [[Raku (programming language)|Raku]] has a built-in routine <code>expmod</code>.
* [[Go (programming language)|Go]]'s <code>big.Int</code> type contains an <code>Exp()</code> (exponentiation) method [http://golang.org/pkg/big/#Int.Exp] whose third parameter, if non-nil, is the modulus
* [[PHP]]'s BC Math library has a <code>bcpowmod()</code> function [http://www.php.net/manual/en/function.bcpowmod.php] to perform modular exponentiation
* The [[GNU Multiple Precision Arithmetic Library]] (GMP) library contains a <code>mpz_powm()</code> function [http://gmplib.org/manual/Integer-Exponentiation.html] to perform modular exponentiation
* Custom Function <code>[http://www.briandunning.com/cf/1482 @PowerMod()]</code> for [[FileMaker]] Pro (with 1024-bit [[RSA (algorithm)|RSA]] encryption example)
* [[Ruby (programming language)|Ruby]]'s <code>openssl</code> package has the <code>OpenSSL::BN#mod_exp</code> method [https://docs.ruby-lang.org/en/master/OpenSSL/BN.html#method-i-mod_exp] to perform modular exponentiation.