void VtkTest::test_read_quadratic( const char* filename )
{
const size_t NUM_ELEM = 8;
MeshImpl mesh;
MsqPrintError err(cout);
mesh.read_vtk( filename, err );
ASSERT_NO_ERROR(err);
std::vector<Mesh::ElementHandle> elems(NUM_ELEM);
mesh.get_all_elements( elems, err );
ASSERT_NO_ERROR(err);
CPPUNIT_ASSERT_EQUAL(elems.size(), NUM_ELEM );
std::vector<Mesh::VertexHandle> conn;
std::vector<size_t> offsets;
mesh.elements_get_attached_vertices( arrptr(elems), elems.size(), conn, offsets, err );
ASSERT_NO_ERROR(err);
CPPUNIT_ASSERT_EQUAL( conn.size(), (size_t)108 );
EntityTopology types[NUM_ELEM];
mesh.elements_get_topologies( arrptr(elems), types, NUM_ELEM, err );
ASSERT_NO_ERROR(err);
static const double hex_corners[] =
{ 1.0, -1.0, -1.0,
1.0, 1.0, -1.0,
-1.0, 1.0, -1.0,
-1.0, -1.0, -1.0,
1.0, -1.0, 1.0,
1.0, 1.0, 1.0,
-1.0, 1.0, 1.0,
-1.0, -1.0, 1.0 };
static const double tet_corners[] =
{ 1.0, -1.0, -1.0,
1.0, 1.0, -1.0,
-1.0, 0.0, -1.0,
0.0, 0.0, 1.0 };
static const double pyr_corners[] =
{ 1.0, -1.0, -1.0,
1.0, 1.0, -1.0,
-1.0, 1.0, -1.0,
-1.0, -1.0, -1.0,
0.0, 0.0, 1.0 };
static const double pri_corners[] =
{ -1.0, -1.0, -1.0,
1.0, 1.0, -1.0,
-1.0, 1.0, -1.0,
-1.0, -1.0, 1.0,
1.0, 1.0, 1.0,
-1.0, 1.0, 1.0 };
static const unsigned hex_edges[] =
{ 0, 1,
1, 2,
2, 3,
3, 0,
0, 4,
1, 5,
2, 6,
3, 7,
4, 5,
5, 6,
6, 7,
7, 4 };
static const unsigned tet_edges[] =
{ 0, 1,
1, 2,
2, 0,
0, 3,
1, 3,
2, 3 };
static const unsigned pri_edges[] =
{ 0, 1,
1, 2,
2, 0,
0, 3,
1, 4,
2, 5,
3, 4,
4, 5,
5, 3 };
static const unsigned pyr_edges[] =
{ 0, 1,
1, 2,
2, 3,
3, 0,
0, 4,
1, 4,
2, 4,
3, 4 };
static const unsigned hex_faces[] =
{ 4, 0, 1, 5, 4,
4, 1, 2, 6, 5,
4, 2, 3, 7, 6,
4, 3, 0, 4, 7,
4, 3, 2, 1, 0,
4, 4, 5, 6, 7
};
static const struct {
EntityTopology topology;
unsigned num_corners;
unsigned num_edges;
unsigned num_faces; // if non-zero expect mid-face nodes
unsigned num_region; // if non-zero expect mid-region node
const double* corners;
const unsigned* edges;
const unsigned* faces;
} expected_elems[NUM_ELEM] = {
{ Mesquite::HEXAHEDRON, 8, 12, 0, 0, hex_corners, hex_edges, hex_faces },
{ Mesquite::HEXAHEDRON, 8, 12, 6, 1, hex_corners, hex_edges, hex_faces },
{ Mesquite::TETRAHEDRON, 4, 6, 0, 0, tet_corners, tet_edges, 0 },
{ Mesquite::QUADRILATERAL, 4, 4, 0, 0, hex_corners, hex_edges, 0 },
{ Mesquite::QUADRILATERAL, 4, 4, 0, 1, hex_corners, hex_edges, 0 },
{ Mesquite::TRIANGLE, 3, 3, 0, 0, tet_corners, tet_edges, 0 },
{ Mesquite::PRISM, 6, 9, 0, 0, pri_corners, pri_edges, 0 },
{ Mesquite::PYRAMID, 5, 8, 0, 0, pyr_corners, pyr_edges, 0 } };
MsqVertex have;
std::vector<Mesh::VertexHandle>::iterator v_it = conn.begin();
for (unsigned i = 0; i < NUM_ELEM; ++i)
{
CPPUNIT_ASSERT_EQUAL( expected_elems[i].topology, types[i] );
size_t vtx_start = offsets[i];
size_t vtx_end = offsets[i+1];
size_t conn_len = expected_elems[i].num_corners
+ expected_elems[i].num_edges
+ expected_elems[i].num_faces
+ expected_elems[i].num_region;
CPPUNIT_ASSERT_EQUAL( conn_len, vtx_end - vtx_start );
for (unsigned c = 0; c < expected_elems[i].num_corners; ++c, ++v_it)
{
Vector3D expected(expected_elems[i].corners + 3*c);
mesh.vertices_get_coordinates( &*v_it, &have, 1, err );
ASSERT_NO_ERROR(err);
expected -= have;
CPPUNIT_ASSERT_DOUBLES_EQUAL( 0.0, expected.length(), DBL_EPSILON );
}
for (unsigned m = 0; m < expected_elems[i].num_edges; ++m, ++v_it)
{
unsigned start_idx = expected_elems[i].edges[2*m];
unsigned end_idx = expected_elems[i].edges[2*m+1];
Vector3D start( expected_elems[i].corners + 3*start_idx );
Vector3D end( expected_elems[i].corners + 3*end_idx );
Vector3D expected = 0.5 * (start + end);
mesh.vertices_get_coordinates( &*v_it, &have, 1, err );
ASSERT_NO_ERROR(err);
expected -= have;
CPPUNIT_ASSERT_DOUBLES_EQUAL( 0.0, expected.length(), DBL_EPSILON );
}
const unsigned* f_it = expected_elems[i].faces;
for (unsigned m = 0; m < expected_elems[i].num_faces; ++m, ++v_it)
{
Vector3D expected(0,0,0);
const unsigned face_size = *f_it; ++f_it;
CPPUNIT_ASSERT( face_size == 3u || face_size == 4u );
for (unsigned f = 0; f < face_size; ++f, ++f_it)
expected += Vector3D( expected_elems[i].corners + 3 * *f_it );
expected /= face_size;
mesh.vertices_get_coordinates( &*v_it, &have, 1, err );
ASSERT_NO_ERROR(err);
expected -= have;
CPPUNIT_ASSERT_DOUBLES_EQUAL( 0.0, expected.length(), DBL_EPSILON );
}
if (expected_elems[i].num_region) {
CPPUNIT_ASSERT_EQUAL( 1u, expected_elems[i].num_region );
Vector3D expected(0,0,0);
for (unsigned m = 0; m < expected_elems[i].num_corners; ++m)
expected += Vector3D( expected_elems[i].corners + 3*m );
expected /= expected_elems[i].num_corners;
mesh.vertices_get_coordinates( &*v_it, &have, 1, err );
ASSERT_NO_ERROR(err);
expected -= have;
CPPUNIT_ASSERT_DOUBLES_EQUAL( 0.0, expected.length(), DBL_EPSILON );
++v_it;
}
}
}
// Routine to create initial mesh for test.
// o Marks vertices at a greater topological depth than the specified
// value as slaved.
// o Perturbs higher-order vertices on skin towards element center
// o Marks skin vertices as fixed
int main( int argc, char* argv[] )
{
if (argc != 4)
usage(argv[0]);
char* endptr = 0;
const long n = strtol( argv[1], &endptr, 0 );
if (*endptr || n < 0)
usage(argv[0]);
// read input mesh
MeshImpl mesh;
MsqPrintError err(std::cerr);
mesh.read_vtk( argv[2], err );
if (err) return 1;
// get skin vertices
mesh.mark_skin_fixed( err, true );
if (err) return 1;
std::vector<Mesh::VertexHandle> verts;
mesh.get_all_vertices( verts, err );
if (err) return 1;
std::vector<bool> fixed;
mesh.vertices_get_fixed_flag( arrptr(verts), fixed, verts.size(), err );
if (err) return 1;
std::vector<Mesh::VertexHandle> skin;
for (size_t i = 0; i < verts.size(); ++i)
if (fixed[i])
skin.push_back( verts[i] );
// create map for vertex depth, and initialize to 0 for skin vertices
std::map<Mesh::VertexHandle,int> depth;
std::map<Mesh::VertexHandle,int>::iterator d_iter;
for (size_t i = 0; i < skin.size(); ++i)
depth[skin[i]] = 0;
// get all elements
std::vector<Mesh::ElementHandle> curr, next;
std::vector<Mesh::ElementHandle> conn;
std::vector<size_t> off;
mesh.get_all_elements( next, err );
// build sorted list of higher-order vertices
std::vector<Mesh::VertexHandle> higher_order;
for (size_t i = 0; i < next.size(); ++i) {
Mesh::ElementHandle elem = next[i];
conn.clear();
mesh.elements_get_attached_vertices( &elem, 1, conn, off, err );
if (err) return 1;
EntityTopology type;
mesh.elements_get_topologies( &elem, &type, 1, err );
std::copy( conn.begin() + TopologyInfo::corners(type), conn.end(),
std::back_inserter( higher_order ) );
}
std::sort( higher_order.begin(), higher_order.end() );
higher_order.erase( std::unique( higher_order.begin(), higher_order.end() ),
higher_order.end() );
// build depth map for all vertices
while (!next.empty()) {
curr.swap( next );
next.clear();
while (!curr.empty()) {
Mesh::ElementHandle elem = curr.back();
curr.pop_back();
conn.clear();
mesh.elements_get_attached_vertices( &elem, 1, conn, off, err );
if (err) return 1;
int min = std::numeric_limits<int>::max();
for (size_t i = 0; i < conn.size(); ++i) {
d_iter = depth.find( conn[i] );
if (d_iter != depth.end() && d_iter->second < min)
min = d_iter->second;
}
if (min == std::numeric_limits<int>::max()) {
next.push_back( elem );
continue;
}
for (size_t i = 0; i < conn.size(); ++i) {
d_iter = depth.find( conn[i] );
if (d_iter == depth.end() || d_iter->second > min+1)
depth[conn[i]] = min+1;
}
}
}
// write depth map to tag for debugging purposes
std::vector<int> depth_vals(verts.size());
for (size_t i = 0; i < verts.size(); ++i)
depth_vals[i] = depth[verts[i]];
TagHandle tag = mesh.tag_create( "depth", Mesh::INT, 1, 0, err );
if (err) return 1;
mesh.tag_set_vertex_data( tag, verts.size(), arrptr(verts), arrptr(depth_vals), err );
if (err) return 1;
// set tag specifying slaved vertices
for (size_t i = 0; i < verts.size(); ++i)
if (std::binary_search( higher_order.begin(), higher_order.end(), verts[i] ))
depth_vals[i] = depth[verts[i]] > n;
else
depth_vals[i] = 0;
tag = mesh.tag_create( "slaved", Mesh::INT, 1, 0, err );
if (err) return 1;
mesh.tag_set_vertex_data( tag, verts.size(), arrptr(verts), arrptr(depth_vals), err );
if (err) return 1;
// perturb mid-edge nodes along boundary
std::vector<MsqVertex> coords;
for (size_t i = 0; i < skin.size(); ++i) {
if (!std::binary_search( higher_order.begin(), higher_order.end(), skin[i]))
continue;
curr.clear();
mesh.vertices_get_attached_elements( &skin[i], 1, curr, off, err );
if (err) return 1;
assert(curr.size() == 1);
conn.clear();
mesh.elements_get_attached_vertices( arrptr(curr), 1, conn, off, err );
if (err) return 1;
// estimate element center
coords.resize( conn.size() );
mesh.vertices_get_coordinates( arrptr(conn), arrptr(coords), conn.size(), err );
if (err) return 1;
Vector3D mean(0.0);
for (size_t j = 0; j < coords.size(); ++j)
mean += coords[j];
mean /= coords.size();
size_t idx = std::find( conn.begin(), conn.end(), skin[i] ) - conn.begin();
assert(idx < conn.size());
Vector3D init = coords[idx];
Vector3D pos = (1 - PERTURB_FRACT) * init + PERTURB_FRACT * mean;
mesh.vertex_set_coordinates( skin[i], pos, err );
if (err) return 1;
}
mesh.write_vtk( argv[3], err );
if (err) return 1;
return 0;
}
void SlaveBoundaryVerticesTest::test_slaved_common( unsigned depth, unsigned boundary )
{
MeshImpl mesh;
DomainClassifier domain;
make_mesh( mesh, domain, 2*depth+2 );
MsqPrintError err(std::cerr);
std::vector< std::vector<Mesh::VertexHandle> > depths(depth+1);
std::set<Mesh::VertexHandle> non_slave;
std::set<Mesh::VertexHandle>::iterator p;
// find boundary vertices
std::vector<Mesh::VertexHandle> verts;
mesh.get_all_vertices( verts, err ); ASSERT_NO_ERROR(err);
CPPUNIT_ASSERT(!verts.empty());
if (boundary >= 4) {
std::vector<bool> flags;
mesh.vertices_get_fixed_flag( arrptr(verts), flags, verts.size(), err );
ASSERT_NO_ERROR(err);
for (size_t i = 0; i < verts.size(); ++i)
if (flags[i]) {
depths[0].push_back( verts[i] );
non_slave.insert( verts[i] );
}
}
else {
std::vector<unsigned short> dim(verts.size());
domain.domain_DoF( arrptr(verts), arrptr(dim), verts.size(), err );
ASSERT_NO_ERROR(err);
for (size_t i = 0; i < verts.size(); ++i)
if (dim[i] <= boundary) {
depths[0].push_back( verts[i] );
non_slave.insert( verts[i] );
}
}
// check that our input is usable for this test
CPPUNIT_ASSERT( !verts.empty() );
// find all vertices up to specified depth
for (unsigned d = 0; d < depth; ++d) {
for (size_t i = 0; i < depths[d].size(); ++i) {
std::vector<Mesh::ElementHandle> adj;
std::vector<size_t> junk;
mesh.vertices_get_attached_elements( &depths[d][i], 1, adj, junk, err );
ASSERT_NO_ERROR(err);
for(size_t j = 0; j < adj.size(); ++j) {
junk.clear();
std::vector<Mesh::VertexHandle> conn;
mesh.elements_get_attached_vertices( &adj[j], 1, conn, junk, err );
ASSERT_NO_ERROR(err);
for (size_t k = 0; k < conn.size(); ++k) {
p = non_slave.find(conn[k]);
if (p == non_slave.end()) {
non_slave.insert( p, conn[k] );
depths[d+1].push_back( conn[k] );
}
}
}
}
}
// Check that our input is usable for this test:
// Should have some vertices that are not within the specified depth of
// the boundary.
CPPUNIT_ASSERT( non_slave.size() < verts.size() );
// Now build a map of all higher-order nodes in the mesh
std::set<Mesh::VertexHandle> higher_order;
std::vector<Mesh::ElementHandle> elems;
mesh.get_all_elements( elems, err );
ASSERT_NO_ERROR(err);
CPPUNIT_ASSERT(!elems.empty());
std::vector<EntityTopology> types(elems.size());
mesh.elements_get_topologies( arrptr(elems), arrptr(types), elems.size(), err );
ASSERT_NO_ERROR(err);
for (size_t i = 0; i < elems.size(); ++i) {
std::vector<Mesh::VertexHandle> conn;
std::vector<size_t> junk;
mesh.elements_get_attached_vertices( &elems[i], 1, conn, junk, err );
ASSERT_NO_ERROR(err);
for (size_t j = TopologyInfo::corners( types[i] ); j < conn.size(); ++j)
higher_order.insert( conn[j] );
}
// Check that our input is usable for this test:
// Should have some higher-order vertices
CPPUNIT_ASSERT( !higher_order.empty() );
// Now build a map of all fixed vertices
std::set<Mesh::VertexHandle> fixed_vertices;
std::vector<bool> fixed;
mesh.vertices_get_fixed_flag( arrptr(verts), fixed, verts.size(), err );
ASSERT_NO_ERROR(err);
for (size_t i = 0; i < verts.size(); ++i)
if (fixed[i])
fixed_vertices.insert( verts[i] );
// Now actually run the tool
Settings settings;
settings.set_slaved_ho_node_mode( Settings::SLAVE_CALCULATED );
SlaveBoundaryVertices tool( depth, boundary );
tool.loop_over_mesh( &mesh, &domain, &settings, err );
ASSERT_NO_ERROR(err);
// Now verify the results
std::vector<unsigned char> bytes( verts.size() );
mesh.vertices_get_byte( arrptr(verts), arrptr(bytes), verts.size(), err );
ASSERT_NO_ERROR(err);
for (size_t i = 0; i < verts.size(); ++i) {
bool in_non_slave = (non_slave.find( verts[i] ) != non_slave.end());
bool in_fixed = (fixed_vertices.find( verts[i] ) != fixed_vertices.end());
bool in_higher_order = (higher_order.find( verts[i] ) != higher_order.end());
if (bytes[i] & MsqVertex::MSQ_DEPENDENT) { // if slave node
// must not be within 'depth' of boundary
CPPUNIT_ASSERT( !in_non_slave );
// must be a higher-order vertex
CPPUNIT_ASSERT( in_higher_order );
// must not be fixed
CPPUNIT_ASSERT( !in_fixed );
}
else {
// there are three reasons that a vertex isn't slaved
bool in_non_slave = (non_slave.find( verts[i] ) != non_slave.end());
bool in_fixed = (fixed_vertices.find( verts[i] ) != fixed_vertices.end());
bool in_higher_order = (higher_order.find( verts[i] ) != higher_order.end());
CPPUNIT_ASSERT( in_fixed || !in_higher_order || in_non_slave );
}
}
}