Mesh Oriented datABase  (version 5.4.1)
Array-based unstructured mesh datastructure
Functions | Variables
ElemUtilTest.cpp File Reference
#include "TestUtil.hpp"
#include "ElemUtil.hpp"
#include <iostream>
+ Include dependency graph for ElemUtilTest.cpp:

Go to the source code of this file.

Functions

void test_hex_nat_coords ()
int main ()
CartVect hex_map (const CartVect &xi, const CartVect *corners)
static void hex_bounding_box (const CartVect *corners, CartVect &min, CartVect &max)
static bool in_range (const CartVect &xi)

Variables

const CartVect cube_corners [8]
const CartVect hex_corners [8]

Function Documentation

static void hex_bounding_box ( const CartVect *  corners,
CartVect &  min,
CartVect &  max 
) [static]

Definition at line 39 of file ElemUtilTest.cpp.

Referenced by test_hex_nat_coords().

{
    min = max = corners[0];
    for( unsigned i = 1; i < 8; ++i )
        for( unsigned d = 0; d < 3; ++d )
            if( corners[i][d] < min[d] )
                min[d] = corners[i][d];
            else if( corners[i][d] > max[d] )
                max[d] = corners[i][d];
}
CartVect hex_map ( const CartVect &  xi,
const CartVect *  corners 
)

shape function for trilinear hex

Definition at line 25 of file ElemUtilTest.cpp.

Referenced by test_hex_nat_coords().

{
    CartVect x( 0.0 );
    x += ( 1 - xi[0] ) * ( 1 - xi[1] ) * ( 1 - xi[2] ) * corners[0];
    x += ( 1 + xi[0] ) * ( 1 - xi[1] ) * ( 1 - xi[2] ) * corners[1];
    x += ( 1 + xi[0] ) * ( 1 + xi[1] ) * ( 1 - xi[2] ) * corners[2];
    x += ( 1 - xi[0] ) * ( 1 + xi[1] ) * ( 1 - xi[2] ) * corners[3];
    x += ( 1 - xi[0] ) * ( 1 - xi[1] ) * ( 1 + xi[2] ) * corners[4];
    x += ( 1 + xi[0] ) * ( 1 - xi[1] ) * ( 1 + xi[2] ) * corners[5];
    x += ( 1 + xi[0] ) * ( 1 + xi[1] ) * ( 1 + xi[2] ) * corners[6];
    x += ( 1 - xi[0] ) * ( 1 + xi[1] ) * ( 1 + xi[2] ) * corners[7];
    return x *= 0.125;
}
static bool in_range ( const CartVect &  xi) [static]

Definition at line 50 of file ElemUtilTest.cpp.

Referenced by test_hex_nat_coords().

{
    return fabs( xi[0] ) <= 1 && fabs( xi[1] ) <= 1 && fabs( xi[2] ) <= 1;
}
int main ( )

Definition at line 9 of file ElemUtilTest.cpp.

References RUN_TEST, and test_hex_nat_coords().

{
    int rval = 0;
    rval += RUN_TEST( test_hex_nat_coords );
    return rval;
}
void test_hex_nat_coords ( )

Definition at line 55 of file ElemUtilTest.cpp.

References CHECK, cube_corners, moab::dum, EPS1, hex_bounding_box(), hex_corners, hex_map(), moab::Element::Map::ievaluate(), in_range(), and moab::Element::LinearHex::inside_nat_space().

Referenced by main().

{
    CartVect xi, result_xi;
    bool valid;
    // rename EPS to EPS1 because of conflict with definition of EPS in types.h
    // types.h is now included in the header.
    const double EPS1 = 1e-6;

    // first test with cube because it's easier to debug failures
    std::vector< CartVect > cube_corners2;
    std::copy( cube_corners, cube_corners + 8, std::back_inserter( cube_corners2 ) );
    Element::LinearHex hex( cube_corners2 );
    for( xi[0] = -1; xi[0] <= 1; xi[0] += 0.2 )
    {
        for( xi[1] = -1; xi[1] <= 1; xi[1] += 0.2 )
        {
            for( xi[2] = -1; xi[2] <= 1; xi[2] += 0.2 )
            {
                const CartVect pt = hex_map( xi, cube_corners );
                result_xi         = hex.ievaluate( pt, EPS1 / 10 );
                double dum        = EPS1 / 10;
                valid             = hex.inside_nat_space( result_xi, dum );
                CHECK( valid );
                CHECK_REAL_EQUAL( xi[0], result_xi[0], EPS1 );
                CHECK_REAL_EQUAL( xi[1], result_xi[1], EPS1 );
                CHECK_REAL_EQUAL( xi[2], result_xi[2], EPS1 );
            }
        }
    }

    // now test with distorted hex
    std::vector< CartVect > hex_corners2;
    std::copy( hex_corners, hex_corners + 8, std::back_inserter( hex_corners2 ) );
    Element::LinearHex hex2( hex_corners2 );
    for( xi[0] = -1; xi[0] <= 1; xi[0] += 0.2 )
    {
        for( xi[1] = -1; xi[1] <= 1; xi[1] += 0.2 )
        {
            for( xi[2] = -1; xi[2] <= 1; xi[2] += 0.2 )
            {
                const CartVect pt = hex_map( xi, hex_corners );
                result_xi         = hex2.ievaluate( pt, EPS1 / 10 );
                double dum        = EPS1 / 10;
                valid             = hex2.inside_nat_space( result_xi, dum );
                CHECK( valid );
                CHECK_REAL_EQUAL( xi[0], result_xi[0], EPS1 );
                CHECK_REAL_EQUAL( xi[1], result_xi[1], EPS1 );
                CHECK_REAL_EQUAL( xi[2], result_xi[2], EPS1 );
            }
        }
    }

    // test points outside of element
    CartVect x, min, max;
    hex_bounding_box( cube_corners, min, max );
    for( x[0] = -1; x[0] <= 2; x[0] += 0.4 )
    {
        for( x[1] = -1; x[1] <= 2; x[1] += 0.4 )
        {
            for( x[2] = -1; x[2] <= 2; x[2] += 0.4 )
            {
                bool in_box = x[0] >= min[0] && x[0] <= max[0] && x[1] >= min[1] && x[1] <= max[1] && x[2] >= min[2] &&
                              x[2] <= max[2];
                if( in_box ) continue;
                result_xi  = hex.ievaluate( x, EPS1 / 10 );
                double dum = EPS1 / 10;
                valid      = hex.inside_nat_space( result_xi, dum );

                // std::cout << (valid ? 'y' : 'n');
                CHECK( !valid || !in_range( result_xi ) );
            }
        }
    }
    // std::cout << std::endl;

    hex_bounding_box( hex_corners, min, max );
    for( x[0] = -1; x[0] <= 3; x[0] += 0.5 )
    {
        for( x[1] = -2; x[1] <= 4; x[1] += 0.5 )
        {
            for( x[2] = -1; x[2] <= 2; x[2] += 0.4 )
            {
                bool in_box = x[0] >= min[0] && x[0] <= max[0] && x[1] >= min[1] && x[1] <= max[1] && x[2] >= min[2] &&
                              x[2] <= max[2];
                if( in_box ) continue;
                try
                {
                    result_xi = hex2.ievaluate( x, EPS1 / 10 );
                }
                catch( Element::Map::EvaluationError& /* err */ )
                {
                    valid = false;
                }
                // std::cout << (valid ? 'y' : 'n');
                CHECK( !valid || !in_range( result_xi ) );
            }
        }
    }
    // std::cout << std::endl;
}

Variable Documentation

const CartVect cube_corners[8]
Initial value:
 { CartVect( 0, 0, 0 ), CartVect( 1, 0, 0 ), CartVect( 1, 1, 0 ), CartVect( 0, 1, 0 ),
                                   CartVect( 0, 0, 1 ), CartVect( 1, 0, 1 ), CartVect( 1, 1, 1 ), CartVect( 0, 1, 1 ) }

Definition at line 16 of file ElemUtilTest.cpp.

Referenced by test_hex_nat_coords().

const CartVect hex_corners[8]
Initial value:
 { CartVect( 1.0e0, 0.0e0, 0.0e0 ), CartVect( 1.0e0, 1.0e0, 0.3e0 ),
                                  CartVect( 0.0e0, 2.0e0, 0.6e0 ), CartVect( 0.2e0, 1.1e0, 0.4e0 ),
                                  CartVect( 1.5e0, 0.3e0, 1.0e0 ), CartVect( 1.5e0, 1.3e0, 1.0e0 ),
                                  CartVect( 0.5e0, 2.3e0, 1.0e0 ), CartVect( 0.7e0, 1.4e0, 1.0e0 ) }

Definition at line 19 of file ElemUtilTest.cpp.

Referenced by moab::BSPTreePoly::BSPTreePoly(), and test_hex_nat_coords().

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