PatchDataTestNormals.cpp

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#include "Mesquite.hpp"
#include "PatchData.hpp"
#include "SphericalDomain.hpp"
#include "BoundedCylinderDomain.hpp"
#include <cppunit/extensions/HelperMacros.h>
#include <iostream>

const double EPSILON = 1e-6;
#define ASSERT_VECTORS_EQUAL( A, B ) CPPUNIT_ASSERT( ( ( A ) - ( B ) ).length() < EPSILON )

using namespace MBMesquite;

using std::cerr;
using std::cout;
using std::endl;

class PatchDataTestNormals : public CppUnit::TestFixture
{
  private:
    CPPUNIT_TEST_SUITE( PatchDataTestNormals );
    // CPPUNIT_TEST (test_get_vertex_normals_infinite_domain);
    // CPPUNIT_TEST (test_get_vertex_normals_bounded_domain);
    CPPUNIT_TEST( test_get_corner_normals_infinite_domain );
    CPPUNIT_TEST( test_get_corner_normals_bounded_domain );
    CPPUNIT_TEST( test_get_element_normals_infinite_domain );
    CPPUNIT_TEST( test_get_element_normals_bounded_domain );
    CPPUNIT_TEST_SUITE_END();

    PatchData boundedMesh, unboundedMesh;
    BoundedCylinderDomain boundedDomain;
    SphericalDomain unboundedDomain;

  public:
    PatchDataTestNormals() : boundedDomain( 1 ), unboundedDomain( Vector3D( 0, 0, 0 ), 1 ) {}

    void setUp();

    void tearDown() {}

    // void test_get_vertex_normals_infinite_domain();
    // void test_get_vertex_normals_bounded_domain();
    void test_get_corner_normals_infinite_domain();
    void test_get_corner_normals_bounded_domain();
    void test_get_element_normals_infinite_domain();
    void test_get_element_normals_bounded_domain();
};

void PatchDataTestNormals::setUp()
{
    MsqPrintError err( cout );

    // Define a mesh on the unit sphere
    // Make six quads corresponding to the six faces
    // of a cube inscribed in the sphere
    const double T   = 1.0 / sqrt( 3.0 );
    double ucoords[] = { T, -T, -T, T, T, -T, -T, T, -T, -T, -T, -T, T, -T, T, T, T, T, -T, T, T, -T, -T, T };
    size_t uconn[]   = {
        3, 2, 1, 0,  // -Z face
        4, 5, 6, 7,  // +Z face
        0, 1, 5, 4,  // +X face
        1, 2, 6, 5,  // +Y face
        2, 3, 7, 6,  // -X face
        3, 0, 4, 7   // -Y face
    };
    unboundedMesh.fill( 8, ucoords, 6, QUADRILATERAL, uconn, 0, err );
    CPPUNIT_ASSERT( !err );
    unboundedMesh.set_domain( &unboundedDomain );

    // Define a mesh on a cylinder with a radius of
    // one that is capped at z = +/- 2.  Define the
    // mesh as the 8 quads defining the sides of a pair of cubes
    // stacked axially in the cylinder
    const double V   = 1.0 / sqrt( 2.0 );
    double bcoords[] = { V, -V, -2, V, V, -2, -V, V, -2, -V, -V, -2,

                         V, -V, 0,  V, V, 0,  -V, V, 0,  -V, -V, 0,

                         V, -V, 2,  V, V, 2,  -V, V, 2,  -V, -V, 2 };
    size_t bconn[]   = {
        // lower cube side faces
        0, 1, 5, 4,  // +X face
        1, 2, 6, 5,  // +Y face
        2, 3, 7, 6,  // -X face
        3, 0, 4, 7,  // -Y face
        // upper cube side faces
        4, 5, 9, 8,    // +X face
        5, 6, 10, 9,   // +Y face
        6, 7, 11, 10,  // -X face
        7, 4, 8, 11,   // -Y face
    };
    boundedMesh.fill( 12, bcoords, 8, QUADRILATERAL, bconn, 0, err );
    CPPUNIT_ASSERT( !err );
    boundedMesh.set_domain( &boundedDomain );

    // set element and vertex handles arrays
    size_t i = 0;
    for( i = 0; i < 12; ++i )
        boundedMesh.get_vertex_handles_array()[i] = (Mesh::VertexHandle)i;
    for( i = 0; i < 8; ++i )
        boundedMesh.get_element_handles_array()[i] = (Mesh::ElementHandle)i;

    // Bound the unit cylinder at +/- 1 on the z axis
    std::vector< Mesh::VertexHandle > upper_curve( 4 ), lower_curve( 4 );
    for( i = 0; i < 4; ++i )
    {
        lower_curve[i] = (Mesh::VertexHandle)i;
        upper_curve[i] = ( Mesh::VertexHandle )( i + 8 );
    }
    boundedDomain.create_curve( -2, lower_curve );
    boundedDomain.create_curve( 2, upper_curve );
}
/*
void PatchDataTestNormals::test_get_vertex_normals_infinite_domain()
{
  MsqPrintError err(cout);

  for (size_t i = 0; i < unboundedMesh.num_nodes(); ++i)
  {
    Vector3D pos = unboundedMesh.vertex_by_index( i );
    Vector3D norm;
    unboundedMesh.get_domain_normal_at_vertex( i, false, norm, err );
    CPPUNIT_ASSERT(!err);
      // all points are on unit sphere centered at origin, so
      // the normal should be the same as the point.
    ASSERT_VECTORS_EQUAL( pos, norm );
  }
}

void PatchDataTestNormals::test_get_vertex_normals_bounded_domain()
{
  MsqPrintError err(cout);
  Vector3D norm;

    // Vertices 0 to 3 and 8 to 11 should lie on the end
    // curves of the cylinder.  There is no single valid normal
    // for a vertex on a curve, so it should fail for each
    // of these.
  size_t indices[] = { 0, 1, 2, 3, 8, 9, 10, 11 };
  for (size_t i = 0; i < (sizeof(indices)/sizeof(indices[0])); ++i)
  {
    boundedMesh.get_domain_normal_at_vertex( indices[i], false, norm, err );
    CPPUNIT_ASSERT( err );
    err.clear();
  }

    // The remaining for vertices lie in the Z plane and the
    // cylinder's axis is the Z axis, so the normal should
    // be the same as the point coordinates.
  for (size_t j = 4; j < 8; ++j)
  {
    Vector3D pos = unboundedMesh.vertex_by_index( j );
    unboundedMesh.get_domain_normal_at_vertex( j, false, norm, err );
    CPPUNIT_ASSERT(!err);
      // all points are on unit sphere centered at origin, so
      // the normal should be the same as the point.
    ASSERT_VECTORS_EQUAL( pos, norm );
  }
}
*/

void PatchDataTestNormals::test_get_corner_normals_infinite_domain()
{
    MsqPrintError err( cout );

    // Element 0 is a quad parallel to and below the Z plane.
    // All corners of the element lie on the unit sphere and
    // thus the normal should be the same as the location.
    const size_t elem_index = 0;
    std::vector< Vector3D > coords;
    Vector3D normals[4];
    unboundedMesh.get_element_vertex_coordinates( elem_index, coords, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( coords.size() == 4 /*quad*/ );
    unboundedMesh.get_domain_normals_at_corners( elem_index, normals, err );
    CPPUNIT_ASSERT( !err );
    for( size_t i = 0; i < 4; ++i )
    {
        ASSERT_VECTORS_EQUAL( coords[i], normals[i] );
    }
}

void PatchDataTestNormals::test_get_corner_normals_bounded_domain()
{
    MsqPrintError err( cout );
    std::vector< Vector3D > coords;
    Vector3D normals[4];

    // Element 0 is a quad in the plane X=1/sqrt(2).  Two of
    // the vertices of this element lie on the lower bounding
    // curve of the cylinder, and the other two lie in the
    // Z=0 plane
    const size_t elem_index = 0;
    boundedMesh.get_element_vertex_coordinates( elem_index, coords, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( coords.size() == 4 /*quad*/ );
    boundedMesh.get_domain_normals_at_corners( elem_index, normals, err );
    CPPUNIT_ASSERT( !err );
    for( size_t i = 0; i < 4; ++i )
    {
        coords[i][2] = 0;  // project into Z plane
        ASSERT_VECTORS_EQUAL( coords[i], normals[i] );
    }
}

void PatchDataTestNormals::test_get_element_normals_infinite_domain()
{
    MsqPrintError err( cout );
    Vector3D expected_normals[] = { Vector3D( 0, 0, -1 ), Vector3D( 0, 0, 1 ),  Vector3D( 1, 0, 0 ),
                                    Vector3D( 0, 1, 0 ),  Vector3D( -1, 0, 0 ), Vector3D( 0, -1, 0 ) };

    CPPUNIT_ASSERT( unboundedMesh.num_elements() == 6u );
    for( size_t i = 0; i < 6u; ++i )
    {
        Vector3D norm;
        unboundedMesh.get_domain_normal_at_element( i, norm, err );
        CPPUNIT_ASSERT( !err );
        ASSERT_VECTORS_EQUAL( expected_normals[i], norm );
    }
}

void PatchDataTestNormals::test_get_element_normals_bounded_domain()
{
    MsqPrintError err( cout );
    Vector3D expected_normals[] = { Vector3D( 1, 0, 0 ),  Vector3D( 0, 1, 0 ), Vector3D( -1, 0, 0 ),
                                    Vector3D( 0, -1, 0 ), Vector3D( 1, 0, 0 ), Vector3D( 0, 1, 0 ),
                                    Vector3D( -1, 0, 0 ), Vector3D( 0, -1, 0 ) };

    CPPUNIT_ASSERT( boundedMesh.num_elements() == 8u );
    for( size_t i = 0; i < 8u; ++i )
    {
        Vector3D norm;
        boundedMesh.get_domain_normal_at_element( i, norm, err );
        CPPUNIT_ASSERT( !err );
        ASSERT_VECTORS_EQUAL( expected_normals[i], norm );
    }
}

CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( PatchDataTestNormals, "PatchDataTestNormals" );
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( PatchDataTestNormals, "Unit" );