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