Page Menu
Home
c4science
Search
Configure Global Search
Log In
Files
F122017669
MatrixParitioned.cpp
No One
Temporary
Actions
Download File
Edit File
Delete File
View Transforms
Subscribe
Mute Notifications
Award Token
Subscribers
None
File Metadata
Details
File Info
Storage
Attached
Created
Tue, Jul 15, 08:25
Size
3 KB
Mime Type
text/x-c
Expires
Thu, Jul 17, 08:25 (2 d)
Engine
blob
Format
Raw Data
Handle
27424507
Attached To
rGOOSEFEM GooseFEM
MatrixParitioned.cpp
View Options
#include <catch2/catch.hpp>
#include <xtensor/xrandom.hpp>
#include <xtensor/xmath.hpp>
#include <Eigen/Eigen>
#include <GooseFEM/GooseFEM.h>
#define ISCLOSE(a,b) REQUIRE_THAT((a), Catch::WithinAbs((b), 1.e-12));
TEST_CASE("GooseFEM::MatrixPartitioned", "MatrixPartitioned.h")
{
SECTION("solve")
{
GooseFEM::Mesh::Quad4::Regular mesh(2, 2);
size_t nne = mesh.nne();
size_t ndim = mesh.ndim();
size_t nelem = mesh.nelem();
size_t nnode = mesh.nnode();
auto dofs = mesh.dofs();
size_t npp = xt::amax(dofs)();
npp = (npp - npp % 2) / 2;
xt::xtensor<size_t, 1> iip = xt::arange<size_t<(npp);
xt::xtensor<double, 3> a = xt::empty<double>({nelem, nne * ndim, nne * ndim});
xt::xtensor<double, 1> b = xt::random::rand<double>({nnode * ndim});
for (size_t e = 0; e < nelem; ++e) {
xt::xtensor<double, 2> ae = xt::random::rand<double>({nne * ndim, nne * ndim});
ae = (ae + xt::transpose(ae)) / 2.0;
xt::view(a, e, xt::all(), xt::all()) = ae;
}
GooseFEM::MatrixPartitioned A(mesh.conn(), dofs, iip);
GooseFEM::MatrixPartitionedSolver<> Solver;
A.assemble(a);
xt::xtensor<double, 1> C = A.Dot(b);
xt::xtensor<double, 1> B = Solver.Solve(A, C);
REQUIRE(B.size() == b.size());
REQUIRE(xt::allclose(B, b));
}
SECTION("set/add/dot/solve - dofval")
{
xt::xtensor<double, 2> a = xt::random::rand<double>({10, 10});
xt::xtensor<double, 1> x = xt::random::rand<double>({10});
xt::xtensor<double, 1> b = xt::zeros<double>({10});
xt::xtensor<double, 2> A = a + xt::transpose(a);
for (size_t i = 0; i < A.shape(0); ++i) {
for (size_t j = 0; j < A.shape(1); ++j) {
b(i) += A(i, j) * x(j);
}
}
xt::xtensor<size_t, 2> conn = xt::zeros<size_t>({1, 5});
xt::xtensor<size_t, 2> dofs = xt::arange<size_t>(10).reshape({5, 2});
xt::xtensor<size_t, 1> iip = xt::arange<size_t<(5);
GooseFEM::MatrixPartitioned K(conn, dofs, iip);
GooseFEM::MatrixPartitionedSolver<> Solver;
K.set(xt::arange<size_t>(10), xt::arange<size_t>(10), a);
K.add(xt::arange<size_t>(10), xt::arange<size_t>(10), xt::transpose(a));
REQUIRE(xt::allclose(A, K.Todense()));
REQUIRE(xt::allclose(b, K.Dot(x)));
REQUIRE(xt::allclose(x, Solver.Solve(K, b)));
}
SECTION("set/add/dot/solve - nodevec")
{
xt::xtensor<double, 2> a = xt::random::rand<double>({10, 10});
xt::xtensor<double, 2> x = xt::random::rand<double>({5, 2});
xt::xtensor<double, 2> b = xt::zeros<double>({5, 2});
xt::xtensor<double, 2> A = a + xt::transpose(a);
for (size_t m = 0; m < x.shape(0); ++m) {
for (size_t n = 0; n < x.shape(0); ++n) {
for (size_t i = 0; i < x.shape(1); ++i) {
for (size_t j = 0; j < x.shape(1); ++j) {
b(m, i) += A(m * x.shape(1) + i, n * x.shape(1) + j) * x(n, j);
}
}
}
}
xt::xtensor<size_t, 2> conn = xt::zeros<size_t>({1, 5});
xt::xtensor<size_t, 2> dofs = xt::arange<size_t>(10).reshape({5, 2});
xt::xtensor<size_t, 1> iip = xt::arange<size_t<(5);
GooseFEM::MatrixPartitioned K(conn, dofs, iip);
GooseFEM::MatrixPartitionedSolver<> Solver;
K.set(xt::arange<size_t>(10), xt::arange<size_t>(10), a);
K.add(xt::arange<size_t>(10), xt::arange<size_t>(10), xt::transpose(a));
REQUIRE(xt::allclose(A, K.Todense()));
REQUIRE(xt::allclose(b, K.Dot(x)));
REQUIRE(xt::allclose(x, Solver.Solve(K, b)));
}
}
Event Timeline
Log In to Comment