26 lines
826 B
C++
26 lines
826 B
C++
#ifndef BIGINTEGERALGORITHMS_H
|
|
#define BIGINTEGERALGORITHMS_H
|
|
|
|
#include "BigInteger.hh"
|
|
|
|
/* Some mathematical algorithms for big integers.
|
|
* This code is new and, as such, experimental. */
|
|
|
|
// Returns the greatest common divisor of a and b.
|
|
BigUnsigned gcd(BigUnsigned a, BigUnsigned b);
|
|
|
|
/* Extended Euclidean algorithm.
|
|
* Given m and n, finds gcd g and numbers r, s such that r*m + s*n == g. */
|
|
void extendedEuclidean(BigInteger m, BigInteger n,
|
|
BigInteger &g, BigInteger &r, BigInteger &s);
|
|
|
|
/* Returns the multiplicative inverse of x modulo n, or throws an exception if
|
|
* they have a common factor. */
|
|
BigUnsigned modinv(const BigInteger &x, const BigUnsigned &n);
|
|
|
|
// Returns (base ^ exponent) % modulus.
|
|
BigUnsigned modexp(const BigInteger &base, const BigUnsigned &exponent,
|
|
const BigUnsigned &modulus);
|
|
|
|
#endif
|