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dft_tools/test/triqs/arrays/tridiag.cpp
Olivier Parcollet b534936589 Fix matrix * alias issue and adapt det_manip
- The previous version of the * operator for matrix was too clever.
It was giving a lazy object and then rewriting C = A *B into gemm (a,A,B,0,C).
The pb was in case of aliasing : when e.g. C = A, or is a part of A.
gemm is not correct that case, and as a result generic code like
a = a *b
may not be correct in matrix case, which is unacceptable.

- So we revert to a simple * operator for matrix
that does immediate computation.
Same thing for matrix* vector

- we also suppress a_x_ty class.

-> for M = a * b,
when M is a matrix, there is no overhead due to move assignment
-> however, when M is a view, there is an additionnal copy.

-Correctness comes first, hence the fix.
However, if one wants more speed and one can guarantee that
there is no aliasing possible, then one has to write a direct gemm call.

-> det_manip class was adapted, since in that case, we can show there
no alias, and we want the speed gain, so the * ops where replaced
by direct blas call (using the array blas interface).

-> also gemm, gemv, ger were overloaded in the case the return
matrix/vector (i.e. last parameter of the function) is not an lvalue,
but a temporary view created on the fly.
2013-09-11 18:49:22 +02:00

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/*******************************************************************************
*
* TRIQS: a Toolbox for Research in Interacting Quantum Systems
*
* Copyright (C) 2011 by O. Parcollet
*
* TRIQS 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.
*
* TRIQS 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
* TRIQS. If not, see <http://www.gnu.org/licenses/>.
*
******************************************************************************/
#include "./common.hpp"
#include "./src/linalg/eigenelements.hpp"
#include "./src/blas_lapack/stev.hpp"
using namespace triqs::arrays;
using namespace triqs;
int main(int argc, char **argv) {
arrays::vector<double> D (5), DD(4);
for (size_t i=0; i<5; ++i) {D(i) = 3.2*i+2.3;}
for (size_t i=0; i<4; ++i) {DD(i) = 2.4*(i+1.82) + 0.78;}
auto R = range(0,5);
blas::tridiag_worker w(10);
w(D,DD);
std::cerr<<" values = "<< w.values()<<std::endl;
std::cerr<<" vectors = "<< w.vectors()(R,R)<<std::endl;
//check
matrix<double> A(5,5); A()=0;
for (size_t i=0; i<5; ++i) A(i,i) = D(i);
for (size_t i=0; i<4; ++i) { A(i,i+1) = DD(i); A(i+1,i) = DD(i);}
std::cerr<<"A = "<<A<<std::endl;
linalg::eigenelements_worker< matrix_view <double>, true> w2 (A());
w2.invoke();
std::cerr<<" check values = "<< w2.values()<<std::endl;
std::cerr<<" check vectors = "<< w2.vectors()<<std::endl;
assert_all_close(w.vectors()(R,R), w2.vectors(), 1.e-10);
assert_all_close(array_view<double,1>(w.values()), w2.values(), 1.e-10);
return 0;
}