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matrix<std::complex<double>> Pdom = mtimes(Sdom,lambda) + Pinc; toc(); // Graphical representation @@ -112,12 +112,12 @@ int main(int argc, char* argv[]) tic(); matrix<double> theta = transpose(linspace(0,2*M_PI,1e3)); matrix<double> Nu = horzcat(horzcat(cos(theta),sin(theta)),zeros(size(theta))); - auto Sinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy) + matrix<std::complex<double>> Pinf(numel(theta),1); + for (std::size_t i=0; i<numel(theta); ++i) { - return singleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy); - }; - matrix<std::complex<double>> Pinf = zeros(size(Nu,1),size(lambda,2)); - hmatrix<std::complex<double>> Sinf(Nu,u.dof(),0,Sinffct,lambda,Pinf); + auto Sinf = singleLayerInfinite<std::complex<double>>(Nu,u,k,i); + Pinf(i) = (std::complex<double>) mtimes(Sinf,lambda); + } toc(); // Graphical representation diff --git a/demo/dirichletBW.cpp b/demo/dirichletBW.cpp index c95e45f..7ad77f0 100644 --- a/demo/dirichletBW.cpp +++ b/demo/dirichletBW.cpp @@ -82,13 +82,13 @@ int main (int argc, char* argv[]) { return singleLayer<std::complex<double>>(v,u,k,Ix,Iy); }; + hmatrix<std::complex<double>> Sbnd(v.dof(),u.dof(),tol,Sbndfct); auto Dbndfct = [&v,&u,&k,&Id](matrix<std::size_t> Ix, matrix<std::size_t> Iy) { return 0.5*eval(Id(Ix,Iy)) + doubleLayer<std::complex<double>>(v,u,k,Ix,Iy); }; - matrix<std::complex<double>> Pbnd = zeros(size(v.dof(),1),size(mu,2)); - hmatrix<std::complex<double>> Sbnd(v.dof(),u.dof(),tol,Sbndfct,lambda,Pbnd); - hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct,-mu,Pbnd); + hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct); + matrix<std::complex<double>> Pbnd = mtimes(Sbnd,lambda) - mtimes(Dbnd,mu); toc(); Pbnd = gmres(Id,Pbnd,tol,100) + planeWave(v.dof(),U,k); @@ -98,13 +98,13 @@ int main (int argc, char* argv[]) { return singleLayer<std::complex<double>>(Pvtx,u,k,Ix,Iy); }; + hmatrix<std::complex<double>> Sdom(Pvtx,u.dof(),tol,Sdomfct); auto Ddomfct = [&Pvtx,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy) { return doubleLayer<std::complex<double>>(Pvtx,u,k,Ix,Iy); }; - matrix<std::complex<double>> Pdom = Pinc; - hmatrix<std::complex<double>> Sdom(Pvtx,u.dof(),tol,Sdomfct,lambda,Pdom); - hmatrix<std::complex<double>> Ddom(Pvtx,u.dof(),tol,Ddomfct,-mu,Pdom); + hmatrix<std::complex<double>> Ddom(Pvtx,u.dof(),tol,Ddomfct); + matrix<std::complex<double>> Pdom = mtimes(Sdom,lambda) - mtimes(Ddom,mu) + Pinc; toc(); for (std::size_t l=0; l<size(Pvtx,1); ++l) { @@ -120,17 +120,13 @@ int main (int argc, char* argv[]) tic(); matrix<double> theta = transpose(linspace(0,2*M_PI,1e3)); matrix<double> Nu = horzcat(horzcat(cos(theta),sin(theta)),zeros(size(theta))); - auto Sinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy) + matrix<std::complex<double>> Pinf(numel(theta),1); + for (std::size_t i=0; i<numel(theta); ++i) { - return singleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy); - }; - auto Dinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy) - { - return doubleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy); - }; - matrix<std::complex<double>> Pinf = zeros(size(Nu,1),size(lambda,2)); - hmatrix<std::complex<double>> Sinf(Nu,u.dof(),0,Sinffct,lambda,Pinf); - hmatrix<std::complex<double>> Dinf(Nu,u.dof(),0,Dinffct,-mu,Pinf); + auto Sinf = singleLayerInfinite<std::complex<double>>(Nu,u,k,i); + auto Dinf = doubleLayerInfinite<std::complex<double>>(Nu,u,k,i); + Pinf(i) = (std::complex<double>) (mtimes(Sinf,lambda) - mtimes(Dinf,mu)); + } toc(); // Graphical representation diff --git a/demo/head.cpp b/demo/head.cpp index fe18bfa..15adf82 100644 --- a/demo/head.cpp +++ b/demo/head.cpp @@ -75,14 +75,14 @@ int main (int argc, char* argv[]) { return 0.5*eval(Id(Ix,Iy)) + doubleLayer<std::complex<double>>(v,u,k,Ix,Iy); }; - matrix<std::complex<double>> Pbnd = zeros(size(v.dof(),1),size(mu,2)); - hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct,mu,Pbnd); + hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct); + matrix<std::complex<double>> Pbnd = mtimes(Dbnd,mu); toc(); Pbnd = - gmres(Id,Pbnd,tol,100) + planeWave(v.dof(),U,k); // Graphical representation figure fig2; - trimesh(fig2,Stri,Svtx,real(Pbnd)); + trimesh(fig2,Stri,Svtx,abs(Pbnd)); // Export in .vtk file triwrite("/Users/aussal/Desktop/resultats/","head.vtk",Stri,Svtx,real(Pbnd)); diff --git a/demo/neumann.cpp b/demo/neumann.cpp index b11ab93..6c41a00 100644 --- a/demo/neumann.cpp +++ b/demo/neumann.cpp @@ -83,8 +83,8 @@ int main (int argc, char* argv[]) { return 0.5*eval(Id(Ix,Iy)) + doubleLayer<std::complex<double>>(v,u,k,Ix,Iy); }; - matrix<std::complex<double>> Pbnd = zeros(size(v.dof(),1),size(mu,2)); - hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct,mu,Pbnd); + hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct); + matrix<std::complex<double>> Pbnd = mtimes(Dbnd,mu); toc(); Pbnd = - gmres(Id,Pbnd,tol,100) + planeWave(v.dof(),U,k); @@ -94,8 +94,9 @@ int main (int argc, char* argv[]) { return doubleLayer<std::complex<double>>(Pvtx,u,k,Ix,Iy); }; - matrix<std::complex<double>> Pdom = Pinc; - hmatrix<std::complex<double>> Ddom(Pvtx,u.dof(),tol,Ddomfct,-mu,Pdom); + hmatrix<std::complex<double>> Ddom(Pvtx,u.dof(),tol,Ddomfct); + matrix<std::complex<double>> Pdom = - mtimes(Ddom,mu) + Pinc; + toc(); for (std::size_t l=0; l<size(Pvtx,1); ++l) { @@ -111,12 +112,12 @@ int main (int argc, char* argv[]) tic(); matrix<double> theta = transpose(linspace(0,2*M_PI,1e3)); matrix<double> Nu = horzcat(horzcat(cos(theta),sin(theta)),zeros(size(theta))); - auto Dinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy) + matrix<std::complex<double>> Pinf(numel(theta),1); + for (std::size_t i=0; i<numel(theta); ++i) { - return doubleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy); - }; - matrix<std::complex<double>> Pinf = zeros(size(Nu,1),size(mu,2)); - hmatrix<std::complex<double>> Dinf(Nu,u.dof(),0,Dinffct,-mu,Pinf); + auto Dinf = doubleLayerInfinite<std::complex<double>>(Nu,u,k,i); + Pinf(i) = (std::complex<double>) -mtimes(Dinf,mu); + } toc(); // Graphical representation diff --git a/demo/neumannBW.cpp b/demo/neumannBW.cpp index ac94c77..7d992ea 100644 --- a/demo/neumannBW.cpp +++ b/demo/neumannBW.cpp @@ -82,13 +82,13 @@ int main (int argc, char* argv[]) { return singleLayer<std::complex<double>>(v,u,k,Ix,Iy); }; + hmatrix<std::complex<double>> Sbnd(v.dof(),u.dof(),tol,Sbndfct); auto Dbndfct = [&v,&u,&k,&Id](matrix<std::size_t> Ix, matrix<std::size_t> Iy) { return 0.5*eval(Id(Ix,Iy)) + doubleLayer<std::complex<double>>(v,u,k,Ix,Iy); }; - matrix<std::complex<double>> Pbnd = zeros(size(v.dof(),1),size(mu,2)); - hmatrix<std::complex<double>> Sbnd(v.dof(),u.dof(),tol,Sbndfct,lambda,Pbnd); - hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct,-mu,Pbnd); + hmatrix<std::complex<double>> Dbnd(v.dof(),u.dof(),tol,Dbndfct); + matrix<std::complex<double>> Pbnd = mtimes(Sbnd,lambda) - mtimes(Dbnd,mu); toc(); Pbnd = gmres(Id,Pbnd,tol,100) + planeWave(v.dof(),U,k); @@ -98,13 +98,13 @@ int main (int argc, char* argv[]) { return singleLayer<std::complex<double>>(Pvtx,u,k,Ix,Iy); }; + hmatrix<std::complex<double>> Sdom(Pvtx,u.dof(),tol,Sdomfct); auto Ddomfct = [&Pvtx,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy) { return doubleLayer<std::complex<double>>(Pvtx,u,k,Ix,Iy); }; - matrix<std::complex<double>> Pdom = Pinc; - hmatrix<std::complex<double>> Sdom(Pvtx,u.dof(),tol,Sdomfct,lambda,Pdom); - hmatrix<std::complex<double>> Ddom(Pvtx,u.dof(),tol,Ddomfct,-mu,Pdom); + hmatrix<std::complex<double>> Ddom(Pvtx,u.dof(),tol,Ddomfct); + matrix<std::complex<double>> Pdom = mtimes(Sdom,lambda) - mtimes(Ddom,mu) + Pinc; toc(); for (std::size_t l=0; l<size(Pvtx,1); ++l) { @@ -120,17 +120,13 @@ int main (int argc, char* argv[]) tic(); matrix<double> theta = transpose(linspace(0,2*M_PI,1e3)); matrix<double> Nu = horzcat(horzcat(cos(theta),sin(theta)),zeros(size(theta))); - auto Sinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy) + matrix<std::complex<double>> Pinf(numel(theta),1); + for (std::size_t i=0; i<numel(theta); ++i) { - return singleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy); - }; - auto Dinffct = [&Nu,&u,&k](matrix<std::size_t> Ix, matrix<std::size_t> Iy) - { - return doubleLayerInfinite<std::complex<double>>(Nu,u,k,Ix,Iy); - }; - matrix<std::complex<double>> Pinf = zeros(size(Nu,1),size(lambda,2)); - hmatrix<std::complex<double>> Sinf(Nu,u.dof(),0,Sinffct,lambda,Pinf); - hmatrix<std::complex<double>> Dinf(Nu,u.dof(),0,Dinffct,-mu,Pinf); + auto Sinf = singleLayerInfinite<std::complex<double>>(Nu,u,k,i); + auto Dinf = doubleLayerInfinite<std::complex<double>>(Nu,u,k,i); + Pinf(i) = (std::complex<double>) (mtimes(Sinf,lambda) - mtimes(Dinf,mu)); + } toc(); // Graphical representation -- GitLab