linalg.hpp

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/*
    Copyright (c) 2011-2014 University of Zurich
    
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#ifndef PLLL_INCLUDE_GUARD__LINALG_HPP
#define PLLL_INCLUDE_GUARD__LINALG_HPP

#include <plll/arithmetic.hpp>
#include <plll/matrix.hpp>
#include <utility>

namespace plll
{
    namespace linalg
    {
        unsigned hnf(math_matrix<arithmetic::Integer> & A);
        unsigned hnf(math_matrix<arithmetic::Integer> & A, math_matrix<arithmetic::Integer> & T);

        arithmetic::Integer det(const math_matrix<arithmetic::Integer> & A);
        
        math_matrix<arithmetic::Integer> solveUniqInt(const math_matrix<arithmetic::Integer> & A,
                                                      const math_matrix<arithmetic::Integer> & w,
                                                      const arithmetic::Integer & startPrime = arithmetic::Integer());
        
        void invert(math_matrix<arithmetic::Integer> & inverse,
                    const math_matrix<arithmetic::Integer> & A,
                    const arithmetic::Integer & startPrime = arithmetic::Integer());
        
        std::pair<math_colvector<arithmetic::Integer>, arithmetic::Integer> solve(const math_matrix<arithmetic::Integer> & A,
                                                                                  const math_colvector<arithmetic::Integer> & b);
        
        math_colvector<arithmetic::Integer> solveInt(const math_matrix<arithmetic::Integer> & A,
                                                     const math_colvector<arithmetic::Integer> & w);

        math_matrix<arithmetic::Integer> kernel(const math_matrix<arithmetic::Integer> & A);
        
    }
}

#endif