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#ifndef BIGINTEGERALGORITHMS_H
#define BIGINTEGERALGORITHMS_H
#include "BigInteger.h"
/* 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
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Shao Voon is from Singapore. His interest lies primarily in computer graphics, software optimization, concurrency, security, and Agile methodologies.
In recent years, he shifted focus to software safety research. His hobby is writing a free C++ DirectX photo slideshow application which can be viewed
here.