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rGOOSEFEM/test/basic/Vector.cpp
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Vector.cpp
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#include <catch2/catch.hpp>
#include <xtensor/xrandom.hpp>
#include <xtensor/xmath.hpp>
#include <GooseFEM/GooseFEM.h>
#define ISCLOSE(a,b) REQUIRE_THAT((a), Catch::WithinAbs((b), 1.e-12));
TEST_CASE("GooseFEM::Vector", "Vector.h")
{
SECTION("asDofs - nodevec")
{
GooseFEM::Mesh::Quad4::Regular mesh(2, 2);
GooseFEM::Vector vector(mesh.conn(), mesh.dofsPeriodic());
xt::xtensor<double, 2> v = xt::empty<double>({mesh.nnode(), std::size_t(2)});
v(0, 0) = 1.0;
v(0, 1) = 0.0;
v(1, 0) = 1.0;
v(1, 1) = 0.0;
v(2, 0) = 1.0;
v(2, 1) = 0.0;
v(3, 0) = 1.5;
v(3, 1) = 0.0;
v(4, 0) = 1.5;
v(4, 1) = 0.0;
v(5, 0) = 1.5;
v(5, 1) = 0.0;
v(6, 0) = 1.0;
v(6, 1) = 0.0;
v(7, 0) = 1.0;
v(7, 1) = 0.0;
v(8, 0) = 1.0;
v(8, 1) = 0.0;
auto V = vector.AsDofs(v);
REQUIRE(xt::has_shape(vector.AllocateDofval(), V.shape()));
REQUIRE(xt::has_shape(vector.AllocateNodevec(), v.shape()));
REQUIRE(xt::has_shape(vector.AllocateDofval(), vector.AsDofs(v).shape()));
REQUIRE(xt::has_shape(vector.AllocateElemvec(), vector.AsElement(v).shape()));
REQUIRE(xt::has_shape(vector.AllocateNodevec(), vector.AsNode(V).shape()));
REQUIRE(xt::has_shape(vector.AllocateElemvec(), vector.AsElement(V).shape()));
REQUIRE(V.size() == (mesh.nnode() - mesh.nodesPeriodic().shape(0)) * mesh.ndim());
ISCLOSE(V(0), v(0, 0));
ISCLOSE(V(1), v(0, 1));
ISCLOSE(V(2), v(1, 0));
ISCLOSE(V(3), v(1, 1));
ISCLOSE(V(4), v(3, 0));
ISCLOSE(V(5), v(3, 1));
ISCLOSE(V(6), v(4, 0));
ISCLOSE(V(7), v(4, 1));
}
SECTION("asDofs - elemvec")
{
GooseFEM::Mesh::Quad4::Regular mesh(2, 2);
GooseFEM::Vector vector(mesh.conn(), mesh.dofsPeriodic());
xt::xtensor<double, 2> v = xt::empty<double>({mesh.nnode(), std::size_t(2)});
v(0, 0) = 1.0;
v(0, 1) = 0.0;
v(1, 0) = 1.0;
v(1, 1) = 0.0;
v(2, 0) = 1.0;
v(2, 1) = 0.0;
v(3, 0) = 1.5;
v(3, 1) = 0.0;
v(4, 0) = 1.5;
v(4, 1) = 0.0;
v(5, 0) = 1.5;
v(5, 1) = 0.0;
v(6, 0) = 1.0;
v(6, 1) = 0.0;
v(7, 0) = 1.0;
v(7, 1) = 0.0;
v(8, 0) = 1.0;
v(8, 1) = 0.0;
auto V = vector.AsDofs(vector.AsElement(vector.AsDofs(v)));
REQUIRE(V.size() == (mesh.nnode() - mesh.nodesPeriodic().shape(0)) * mesh.ndim());
ISCLOSE(V(0), v(0, 0));
ISCLOSE(V(1), v(0, 1));
ISCLOSE(V(2), v(1, 0));
ISCLOSE(V(3), v(1, 1));
ISCLOSE(V(4), v(3, 0));
ISCLOSE(V(5), v(3, 1));
ISCLOSE(V(6), v(4, 0));
ISCLOSE(V(7), v(4, 1));
}
SECTION("asDofs - assembleDofs")
{
GooseFEM::Mesh::Quad4::Regular mesh(2, 2);
GooseFEM::Vector vector(mesh.conn(), mesh.dofsPeriodic());
xt::xtensor<double, 2> f = xt::empty<double>({mesh.nnode(), std::size_t(2)});
f(0, 0) = -1.0;
f(0, 1) = -1.0;
f(1, 0) = 0.0;
f(1, 1) = -1.0;
f(2, 0) = 1.0;
f(2, 1) = -1.0;
f(3, 0) = -1.0;
f(3, 1) = 0.0;
f(4, 0) = 0.0;
f(4, 1) = 0.0;
f(5, 0) = 1.0;
f(5, 1) = 0.0;
f(6, 0) = -1.0;
f(6, 1) = 1.0;
f(7, 0) = 0.0;
f(7, 1) = 1.0;
f(8, 0) = 1.0;
f(8, 1) = 1.0;
xt::xtensor<double, 1> F = vector.AssembleDofs(f);
REQUIRE(F.size() == (mesh.nnode() - mesh.nodesPeriodic().shape(0)) * mesh.ndim());
ISCLOSE(F(0), 0);
ISCLOSE(F(1), 0);
ISCLOSE(F(2), 0);
ISCLOSE(F(3), 0);
ISCLOSE(F(4), 0);
ISCLOSE(F(5), 0);
ISCLOSE(F(6), 0);
ISCLOSE(F(7), 0);
}
SECTION("asDofs - assembleNode")
{
GooseFEM::Mesh::Quad4::Regular mesh(2, 2);
GooseFEM::Vector vector(mesh.conn(), mesh.dofsPeriodic());
xt::xtensor<double, 2> f = xt::empty<double>({mesh.nnode(), std::size_t(2)});
f(0, 0) = -1.0;
f(0, 1) = -1.0;
f(1, 0) = 0.0;
f(1, 1) = -1.0;
f(2, 0) = 1.0;
f(2, 1) = -1.0;
f(3, 0) = -1.0;
f(3, 1) = 0.0;
f(4, 0) = 0.0;
f(4, 1) = 0.0;
f(5, 0) = 1.0;
f(5, 1) = 0.0;
f(6, 0) = -1.0;
f(6, 1) = 1.0;
f(7, 0) = 0.0;
f(7, 1) = 1.0;
f(8, 0) = 1.0;
f(8, 1) = 1.0;
xt::xtensor<double, 1> F = vector.AssembleDofs(vector.AsElement(f));
REQUIRE(F.size() == (mesh.nnode() - mesh.nodesPeriodic().shape(0)) * mesh.ndim());
ISCLOSE(F(0), 0);
ISCLOSE(F(1), 0);
ISCLOSE(F(2), 0);
ISCLOSE(F(3), 0);
ISCLOSE(F(4), 0);
ISCLOSE(F(5), 0);
ISCLOSE(F(6), 0);
ISCLOSE(F(7), 0);
}
}
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