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dft_tools/test/triqs/arrays/lapack_on_view.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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C++

#include "./common.hpp"
using std::cout; using std::endl;
using namespace triqs::arrays;
// to be extended to more complex case
// calling lapack on view to test cache securities....
//
int main() {
array<std::complex<double>,3> TMPALL (2,2,5); TMPALL()=-1;
matrix_view<std::complex<double> > TMP ( TMPALL (range(), range(), 2));
matrix<std::complex<double> > M1(2,2), Res(2,2);
M1()=0; M1(0,0) = 2; M1(1,1) = 3.2;
Res()=0; Res(0,0) = 8; Res(1,1) = 16.64;
TMP() =0;
TMP() = M1*( M1 + 2.0 );
assert_all_close(TMP(), Res, 1.e-10);
}