mirror of
https://github.com/triqs/dft_tools
synced 2024-11-01 03:33:50 +01:00
111 lines
3.6 KiB
C++
111 lines
3.6 KiB
C++
/*******************************************************************************
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*
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* TRIQS: a Toolbox for Research in Interacting Quantum Systems
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*
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* Copyright (C) 2011 by O. Parcollet
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*
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* TRIQS is free software: you can redistribute it and/or modify it under the
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* terms of the GNU General Public License as published by the Free Software
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* Foundation, either version 3 of the License, or (at your option) any later
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* version.
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*
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* TRIQS is distributed in the hope that it will be useful, but WITHOUT ANY
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* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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* FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
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* details.
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*
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* You should have received a copy of the GNU General Public License along with
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* TRIQS. If not, see <http://www.gnu.org/licenses/>.
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*
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******************************************************************************/
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#include "./common.hpp"
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#include "./src/array.hpp"
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#include "./src/vector.hpp"
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#include "./src/matrix.hpp"
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#include "./src/linalg/det_and_inverse.hpp"
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#include "./src/linalg/matmul.hpp"
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#include <iostream>
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using std::cout; using std::endl;
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using namespace triqs::arrays;
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//using linalg::inverse;
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//using linalg::inverse_and_compute_det;
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//using linalg::determinant;
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template<typename Expr >
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matrix_view <typename Expr::value_type>
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eval_as_matrix( Expr const & e) { return matrix<typename Expr::value_type>(e);}
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int main(int argc, char **argv) {
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try {
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triqs::arrays::matrix<double> W(3,3,FORTRAN_LAYOUT),Wi(3,3,FORTRAN_LAYOUT),Wkeep(3,3,FORTRAN_LAYOUT),A(FORTRAN_LAYOUT);
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for (int i =0; i<3; ++i)
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for (int j=0; j<3; ++j)
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W(i,j) = (i>j ? i+2.5*j : i*0.8-j);
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/*triqs::arrays::vector <int> ipiv22(3);ipiv22()=0;
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lapack::getrf(W, ipiv22);
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std::cout<<"getrf W = "<<W<<std::endl<<std::endl;
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*/
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//return 0;
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Wkeep = W;
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std::cout<< inverse(W) << " = "<< eval_as_matrix (inverse(W))<<std::endl<<std::endl;
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std::cout<< inverse(W) << " = "<< triqs::arrays::matrix<double > (inverse(W))<<std::endl<<std::endl;
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std::cout<< inverse(W) << " = "<< triqs::arrays::matrix<double > (inverse(W))<<std::endl<<std::endl;
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std::cout<< " and det = "<< double(determinant(W))<<std::endl<<std::endl;
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Wi = inverse(W);
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std::cout<< " Wi= "<< Wi<<std::endl<<std::endl;
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triqs::arrays::matrix<double > should_be_one(W*Wi);
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for (int i =0; i<3; ++i)
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for (int j=0; j<3; ++j)
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assert ( (abs(should_be_one(i,j) - (i==j ? 1 : 0))) <1.e-10 );
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std::cerr<< "W* inverse(W)" << " = "<< triqs::arrays::matrix<double > (W*Wi)<<std::endl<<std::endl;
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W= inverse(W);
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std::cout<< " invert of W= "<< W<<std::endl<<std::endl;
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A= inverse(W);
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std::cerr<< " A = inv W= "<< A<<std::endl<<std::endl;
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for (int i =0; i<3; ++i)
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for (int j=0; j<3; ++j)
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assert ( (abs(A(i,j) - Wkeep(i,j))) <1.e-10 );
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double det = determinant(W);
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std::cout<<"determinant "<<determinant(W)<< " = "<< det<< std::endl<<std::endl;
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//
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matrix_view<double> V(W(range(0,3,2), range(0,3,2)));
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std::cout<<" view = "<< V<<std::endl<<std::endl;
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std::cout<< inverse(V) << " = "<< eval_as_matrix (inverse(V))<<std::endl<<std::endl;
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// testing against "manual" call of bindings
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Wi = W;
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triqs::arrays::vector <int> ipiv2(3);ipiv2()=0;
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lapack::getrf(Wi, ipiv2);
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std::cerr<<"getrf W = "<<Wi<<std::endl<<std::endl;
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lapack::getri(Wi, ipiv2);
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std::cerr<<"inverse W = "<<Wi<<std::endl<<std::endl; // avoid printing because of 1.e-18 error, not reproducible
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for (int i =0; i<3; ++i)
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for (int j=0; j<3; ++j)
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if (!( (abs(Wi(i,j) - Wkeep(i,j))) <1.e-10 )) TRIQS_RUNTIME_ERROR<< "TEST FAILED";
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}
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catch (std::string ERR) { std::cout<<"ERROR : "<< ERR<<std::endl;}
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return 0;
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}
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