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