Mesh Oriented datABase
(version 5.4.1)
Array-based unstructured mesh datastructure
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Defines | |
#define | VERDICT_EXPORTS |
Functions | |
C_FUNC_DEF double | v_pyramid_volume (int num_nodes, double coordinates[][3]) |
Calculates pyramid volume. | |
C_FUNC_DEF void | v_pyramid_quality (int num_nodes, double coordinates[][3], unsigned int metrics_request_flag, PyramidMetricVals *metric_vals) |
Calculates quality metrics for pyramid elements. |
#define VERDICT_EXPORTS |
Definition at line 23 of file V_PyramidMetric.cpp.
C_FUNC_DEF void v_pyramid_quality | ( | int | num_nodes, |
double | coordinates[][3], | ||
unsigned int | metrics_request_flag, | ||
PyramidMetricVals * | metric_vals | ||
) |
Calculates quality metrics for pyramid elements.
Definition at line 96 of file V_PyramidMetric.cpp.
References V_PYRAMID_VOLUME, v_pyramid_volume(), and PyramidMetricVals::volume.
{ memset( metric_vals, 0, sizeof( PyramidMetricVals ) ); if( metrics_request_flag & V_PYRAMID_VOLUME ) metric_vals->volume = v_pyramid_volume( num_nodes, coordinates ); }
C_FUNC_DEF double v_pyramid_volume | ( | int | num_nodes, |
double | coordinates[][3] | ||
) |
Calculates pyramid volume.
the volume of a pyramid
the volume is calculated by dividing the pyramid into 2 tets and summing the volumes of the 2 tets.
Definition at line 59 of file V_PyramidMetric.cpp.
References VerdictVector::set().
Referenced by v_pyramid_quality().
{ double volume = 0; VerdictVector side1, side2, side3; if( num_nodes == 5 ) { // divide the pyramid into 2 tets and calculate each side1.set( coordinates[1][0] - coordinates[0][0], coordinates[1][1] - coordinates[0][1], coordinates[1][2] - coordinates[0][2] ); side2.set( coordinates[3][0] - coordinates[0][0], coordinates[3][1] - coordinates[0][1], coordinates[3][2] - coordinates[0][2] ); side3.set( coordinates[4][0] - coordinates[0][0], coordinates[4][1] - coordinates[0][1], coordinates[4][2] - coordinates[0][2] ); // volume of the first tet volume = ( side3 % ( side1 * side2 ) ) / 6.0; side1.set( coordinates[3][0] - coordinates[2][0], coordinates[3][1] - coordinates[2][1], coordinates[3][2] - coordinates[2][2] ); side2.set( coordinates[1][0] - coordinates[2][0], coordinates[1][1] - coordinates[2][1], coordinates[1][2] - coordinates[2][2] ); side3.set( coordinates[4][0] - coordinates[2][0], coordinates[4][1] - coordinates[2][1], coordinates[4][2] - coordinates[2][2] ); // volume of the second tet volume += ( side3 % ( side1 * side2 ) ) / 6.0; } return (double)volume; }