max@0: // Copyright (C) 2008-2011 NICTA (www.nicta.com.au)
max@0: // Copyright (C) 2008-2011 Conrad Sanderson
max@0: // 
max@0: // This file is part of the Armadillo C++ library.
max@0: // It is provided without any warranty of fitness
max@0: // for any purpose. You can redistribute this file
max@0: // and/or modify it under the terms of the GNU
max@0: // Lesser General Public License (LGPL) as published
max@0: // by the Free Software Foundation, either version 3
max@0: // of the License or (at your option) any later version.
max@0: // (see http://www.opensource.org/licenses for more info)
max@0: 
max@0: 
max@0: //! \addtogroup fn_det
max@0: //! @{
max@0: 
max@0: 
max@0: 
max@0: //! determinant of mat
max@0: template<typename T1>
max@0: inline
max@0: arma_warn_unused
max@0: typename T1::elem_type
max@0: det
max@0:   (
max@0:   const Base<typename T1::elem_type,T1>& X,
max@0:   const bool slow = false,
max@0:   const typename arma_blas_type_only<typename T1::elem_type>::result* junk = 0
max@0:   )
max@0:   {
max@0:   arma_extra_debug_sigprint();
max@0:   
max@0:   arma_ignore(junk);
max@0:   
max@0:   return auxlib::det(X, slow);
max@0:   }
max@0: 
max@0: 
max@0: 
max@0: //! determinant of diagmat
max@0: template<typename T1>
max@0: inline
max@0: arma_warn_unused
max@0: typename T1::elem_type
max@0: det
max@0:   (
max@0:   const Op<T1, op_diagmat>& X,
max@0:   const bool slow = false
max@0:   )
max@0:   {
max@0:   arma_extra_debug_sigprint();
max@0:   arma_ignore(slow);
max@0:   
max@0:   typedef typename T1::elem_type eT;
max@0:   
max@0:   const diagmat_proxy<T1> A(X.m);
max@0:   
max@0:   const uword A_n_elem = A.n_elem;
max@0:   
max@0:   eT val = eT(1);
max@0:   
max@0:   for(uword i=0; i<A_n_elem; ++i)
max@0:     {
max@0:     val *= A[i];
max@0:     }
max@0:   
max@0:   return val;
max@0:   }
max@0: 
max@0: 
max@0: 
max@0: //! determinant of inv(A), without doing the inverse operation
max@0: template<typename T1>
max@0: inline
max@0: arma_warn_unused
max@0: typename T1::elem_type
max@0: det
max@0:   (
max@0:   const Op<T1,op_inv>& in,
max@0:   const bool slow = false,
max@0:   const typename arma_blas_type_only<typename T1::elem_type>::result* junk = 0
max@0:   )
max@0:   {
max@0:   arma_extra_debug_sigprint();
max@0:   arma_ignore(junk);
max@0:   
max@0:   typedef typename T1::elem_type eT;
max@0:   
max@0:   eT tmp = det(in.m, slow);
max@0:   arma_warn( (tmp == eT(0)), "det(): warning: denominator is zero" );
max@0:   
max@0:   return eT(1) / tmp;
max@0:   }
max@0: 
max@0: 
max@0: 
max@0: //! determinant of trans(A)
max@0: template<typename T1>
max@0: inline
max@0: arma_warn_unused
max@0: typename T1::elem_type
max@0: det
max@0:   (
max@0:   const Op<T1,op_htrans>& in,
max@0:   const bool slow = false,
max@0:   const typename arma_blas_type_only<typename T1::elem_type>::result* junk1 = 0,
max@0:   const typename         arma_not_cx<typename T1::elem_type>::result* junk2 = 0
max@0:   )
max@0:   {
max@0:   arma_extra_debug_sigprint();
max@0:   arma_ignore(junk1);
max@0:   arma_ignore(junk2);
max@0:   
max@0:   typedef typename T1::elem_type eT;
max@0:   
max@0:   const unwrap<T1>   tmp(in.m);
max@0:   const Mat<eT>& X = tmp.M;
max@0:   
max@0:   return det(X, slow);
max@0:   }
max@0: 
max@0: 
max@0: 
max@0: //! @}