LA_library/numbers.h
2023-12-29 23:03:56 +01:00

71 lines
1.8 KiB
C++

/*
LA: linear algebra C++ interface library
Copyright (C) 2008-2023 Jiri Pittner <jiri.pittner@jh-inst.cas.cz> or <jiri@pittnerovi.com>
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
//some number-theoretical utilities using naive algorithms suitable for small numbers
#ifndef _NUMBERS_H_
#define _NUMBERS_H_
#include <stdint.h>
#include <list>
#include <tuple>
#include <iostream>
namespace LA {
template<typename N>
N primefactor(const N &x, const N &last=0);
template<typename N>
bool isprime(const N &x) {return x>1 && x==primefactor(x);}
template<typename N>
bool isoddprime(const N &x) {return x>2 && x==primefactor(x);}
template<typename N>
class FACTORIZATION : public std::list<std::pair<N,N> >
{
};
template<typename N>
FACTORIZATION<N> factorization(const N &x);
template<typename N>
N nextprime(N x);
template <typename N>
std::ostream & operator<<(std::ostream &s, const FACTORIZATION<N> &x);
template <typename N>
N eulerphi(const FACTORIZATION<N> &f);
template <typename N>
N eulerphi(const N &x) {return eulerphi(factorization(x));}
template <typename N>
N pow(const N &x, N i);
template <typename N>
N powmod(const N &x, N i, const N &m);
}//namespace
#endif