QualityMetricTester.hpp

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/* *****************************************************************
    MESQUITE -- The Mesh Quality Improvement Toolkit

    Copyright 2006 Sandia National Laboratories.  Developed at the
    University of Wisconsin--Madison under SNL contract number
    624796.  The U.S. Government and the University of Wisconsin
    retain certain rights to this software.

    This library is free software; you can redistribute it and/or
    modify it under the terms of the GNU Lesser General Public
    License as published by the Free Software Foundation; either
    version 2.1 of the License, or (at your option) any later version.

    This library is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
    Lesser General Public License for more details.

    You should have received a copy of the GNU Lesser General Public License
    (lgpl.txt) along with this library; if not, write to the Free Software
    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA

    (2006) kraftche@cae.wisc.edu

  ***************************************************************** */

#ifndef QUALITY_METRIC_TESTER_HPP
#define QUALITY_METRIC_TESTER_HPP

#include "Mesquite.hpp"
#include "PlanarDomain.hpp"
#include "Settings.hpp"
#include <algorithm>

using namespace MBMesquite;

namespace MBMesquite
{
class PatchData;
class QualityMetric;
class ElemSampleQM;
class EdgeQM;
}  // namespace MBMesquite

class QualityMetricTester
{
  public:
    void get_ideal_tris( PatchData& pd, bool unit_area );
    void get_ideal_quads( PatchData& pd );
    void get_ideal_hexes( PatchData& pd );
    void get_ideal_element( EntityTopology type, bool unit_area, PatchData& pd, bool first_vertex_fixed = false );
    void get_ideal_element( EntityTopology type, bool unit_area, PatchData& pd, int free_vertex_index );
    void get_nonideal_element( EntityTopology type, PatchData& pd, bool first_vertex_fixed = false );
    void get_nonideal_element( EntityTopology type, PatchData& pd, int free_vertex_index );
    void get_degenerate_element( EntityTopology type, PatchData& pd );
    void get_zero_element( EntityTopology type, PatchData& pd );
    void get_inverted_element( EntityTopology type, PatchData& pd );

    enum ElemTypeGroup
    {
        SIMPLICIES,                     // triangle and tetrahedron
        NON_MIXED_FE,                   // tri, quad, tet, hex
        TWO_D,                          // tri, quad, polygon
        TWO_D_FE,                       // tri, quad
        THREE_D,                        // tet, hex, pyr, wedge, septahedron, polyhedron
        THREE_D_FE,                     // tet, hex, pyr, wedge, septahedron
        THREE_D_NON_MIXED_FE,           // tet, hex,
        THREE_D_FE_EXCEPT_SEPTAHEDRON,  // tet, hex, pyr, wedge
        ALL_FE_EXCEPT_SEPTAHEDRON,      // tri, quad, tet, hex, pyr, wedge
        ALL_FE,                         // everything except polygon and polyhedron
        ALL
    };  // everything (including polyhedron)

    QualityMetricTester( ElemTypeGroup group, const Settings* set = 0 );

    QualityMetricTester( const EntityTopology* supported_elem_types, size_t supported_elem_types_len,
                         const Settings* set = 0 );

    /** Ideal pyramids should be considerd to have a heigth
     *  equal to the length of a side, rather than the default which
     *  is equilateral triangle faces.
     */
    inline void ideal_pyramid_base_equals_height( bool flag )
    {
        degenHexPyramid = flag;
    }

    /** Test that metric evaluation succeeds for all supported element
     *  types and fails for all unsupported types */
    void test_supported_element_types( QualityMetric* qm );

    /** Test that metric value increases (or decreases if negate_flag is -1)
     *  as the quality of an element worsens.  Compares metric values for
     *  ideal element with unit edge length to the value for the same
     *  element with one corner vertex moved 1/2 of the distance towards
     *  the element centroid.  This test is applicable only for element-based
     *  metrics.
     */
    void test_measures_quality( QualityMetric* qm );

    /** Test that metric value increases (or decreases if negate_flag is -1)
     *  as the quality of the element worsen.  Compares metric values for
     *  ideal elements with unit edge length to the value for the same
     *  elements with the shared vertex moved 1/2 of the length of one of the
     *  adjacent edges.   This test is done only for TRIANGLE, QUADRILATERAL,
     *  and HEXAHEDRAL element types.
     */
    void test_measures_vertex_quality( QualityMetric* qm );

    /** Test measures deviation from domain */
    void test_domain_deviation_quality( QualityMetric* qm );

    /** Test that metric value increases (or decreases if negate_flag is -1)
     *  as the quality of an element worsens.  Compares gradient values for
     *  ideal element with unit edge length to the value for the same
     *  element with one corner vertex moved 1/2 of the distance towards
     *  the element centroid.  This test is applicable only for element-based
     *  metrics.
     */
    void test_gradient_reflects_quality( QualityMetric* qm );

    /** Test that metric value increases (or decreases if negate_flag is -1)
     *  as the quality of the element worsen.  Compares gradient values for
     *  ideal elements with unit edge length to the value for the same
     *  elements with the shared vertex moved 1/2 of the length of one of the
     *  adjacent edges.  This test is done only for TRIANGLE, QUADRILATERAL,
     *  and HEXAHEDRAL element types.
     */
    void test_vertex_gradient_reflects_quality( QualityMetric* qm );

    /** Test gradient reflects deviation from domain */
    void test_domain_deviation_gradient( QualityMetric* qm );

    /** Test evaluation of a single ideal element with unit area/volume */
    void test_evaluate_unit_element( QualityMetric* qm, EntityTopology type, double value );
    /** Test evaluation of a single ideal element with unit edge length */
    void test_evaluate_unit_edge_element( QualityMetric* qm, EntityTopology type, double value );
    /** Test evaluation of metric over patch with one free vertex surrounded
     *  by 6 ideal unit-area tris */
    void test_evaluate_unit_tris_about_vertex( QualityMetric* qm, double expected_val );
    /** Test evaluation of metric over patch with one free vertex surrounded
     *  by 4 unit-area quads */
    void test_evaluate_unit_quads_about_vertex( QualityMetric* qm, double expected_val );
    /** Test evaluation of metric over patch with one free vertex surrounded
     *  by 8 unit-volume hexes */
    void test_evaluate_unit_hexes_about_vertex( QualityMetric* qm, double expected_val );
    /** Test evaluation of metric over patch with one free vertex surrounded
     *  by 6 ideal unit-edge-length tris */
    void test_evaluate_unit_edge_tris_about_vertex( QualityMetric* qm, double expected_val );

    /** Test that evaluation of the metric for an inverted element does
     *  not pass back an error condition, and that the returned boolean
     *  feasible value is the specified value */
    void test_evaluate_inverted_element( QualityMetric* qm, bool should_succeed );

    /** Test that evaluation of the metric for degenerate element does
     *  not pass back an error condition, and that the returned boolean
     *  feasible value is the specified value */
    void test_evaluate_degenerate_element( QualityMetric* qm, bool should_succeed );

    /** Test that evaluation of the metric for zero area/volume element does
     *  not pass back an error condition, and that the returned boolean
     *  feasible value is the specified value */
    void test_evaluate_zero_element( QualityMetric* qm, bool should_succeed );

    /** Test get_evaluatinos() method for element-based metric */
    void test_get_element_evaluations( QualityMetric* qm );
    /** Test get_evaluatinos() method for vertex-based metric */
    void test_get_vertex_evaluations( QualityMetric* qm );
    /** Test get_evaluatinos() method for sample-based metric */
    void test_get_sample_evaluations( QualityMetric* qm );
    /** Test method to get samples in an element in the EdgeQM base class */
    void test_get_edge_evaluations( EdgeQM* qm );
    /** Test method to get samples in an element in the ElemSampleQM base class */
    void test_get_in_element_evaluations( ElemSampleQM* qm );

    /** Test that evaluate_with_indices returns indices only for free vertices */
    void test_get_indices_fixed( QualityMetric* qm );

    /** Test indices from evaluate_with_indices() method */
    void test_get_element_indices( QualityMetric* qm );
    /** Test indices from evaluate_with_indices() method, assuming
     *  quality at a vertex depends only on edge-connected vertices.
     */
    void test_get_vertex_indices( QualityMetric* qm );
    void test_get_edge_indices( EdgeQM* qm );
    /** Test indices from evaluate_with_indices() method */
    void test_get_sample_indices( QualityMetric* qm );

    /** compare results of evaluate() and evaluate_with_indices() methods */
    void compare_eval_and_eval_with_indices( QualityMetric* qm );
    void compare_eval_and_eval_with_indices( QualityMetric* qm, PatchData& pd );
    /** compare results of evaluate_with_indices() and evaluate_with_gradient() methods */
    void compare_eval_with_indices_and_eval_with_gradient( QualityMetric* qm );
    void compare_eval_with_indices_and_eval_with_gradient( QualityMetric* qm, PatchData& pd );
    /** compare results of evaluate_with_indices() and evaluate_with_Hessian() methods */
    void compare_eval_with_indices_and_eval_with_hessian( QualityMetric* qm );
    void compare_eval_with_indices_and_eval_with_hessian( QualityMetric* qm, PatchData& pd );
    /** compare results of evaluate_with_indices() and evaluate_with_Hessian_diagonal() methods */
    void compare_eval_with_indices_and_eval_with_diagonal( QualityMetric* qm );
    void compare_eval_with_indices_and_eval_with_diagonal( QualityMetric* qm, PatchData& pd );
    /** compare results of evaluate_with_gradient() and evaluate_with_Hessian() methods */
    void compare_eval_with_grad_and_eval_with_hessian( QualityMetric* qm );
    void compare_eval_with_grad_and_eval_with_hessian( QualityMetric* qm, PatchData& pd );
    /** compare results of evaluate_with_gradient() and evaluate_with_Hessian_diagonal() methods */
    void compare_eval_with_grad_and_eval_with_diagonal( QualityMetric* qm );
    void compare_eval_with_grad_and_eval_with_diagonal( QualityMetric* qm, PatchData& pd );
    /** compare results of evaluate_with_Hessian_diagonal() and evaluate_with_Hessian() methods */
    void compare_eval_with_diag_and_eval_with_hessian( QualityMetric* qm );
    void compare_eval_with_diag_and_eval_with_hessian( QualityMetric* qm, PatchData& pd );
    /** compare analytical and numerical gradient results */
    void compare_analytical_and_numerical_gradients( QualityMetric* qm );
    void compare_analytical_and_numerical_gradients( QualityMetric* qm, PatchData& pd );
    /** compare analytical and numerical Hessian results */
    void compare_analytical_and_numerical_hessians( QualityMetric* qm );
    void compare_analytical_and_numerical_hessians( QualityMetric* qm, PatchData& pd );
    /** compare analytical and numerical Hessian diagonal results */
    void compare_analytical_and_numerical_diagonals( QualityMetric* qm );
    void compare_analytical_and_numerical_diagonals( QualityMetric* qm, PatchData& pd );

    /** compare gradient w/ no fixed vertices to gradient
     *  for element with all but one vertex fixed.
     */
    void test_gradient_with_fixed_vertex( QualityMetric* qm, const Settings* settings = 0 );
    void test_gradient_with_fixed_vertex( EntityTopology type, QualityMetric* qm, const Settings* settings = 0 );
    /** compare Hessian w/ no fixed vertices to Hessian
     *  for element with all but one vertex fixed.
     */
    void test_hessian_with_fixed_vertex( QualityMetric* qm, const Settings* settings = 0 );
    void test_hessian_with_fixed_vertex( EntityTopology type, QualityMetric* qm, const Settings* settings = 0 );
    /** compare Hessian diagonal w/ no fixed vertices to Hessian
     *  for element with all but one vertex fixed.
     */
    void test_diagonal_with_fixed_vertex( QualityMetric* qm, const Settings* settings = 0 );
    void test_diagonal_with_fixed_vertex( EntityTopology type, QualityMetric* qm, const Settings* settings = 0 );

    /** Test that gradient values are zero for an ideal element.
     *  If 'unit_area' is true, then ideal elements have unit measure,
     *  otherwise they have unit edge lengths.  This test is applicable
     *  only to element-based metrics.
     */
    void test_ideal_element_zero_gradient( QualityMetric* qm, bool unit_area );
    /** Test that gradient values are zero at the shared vertex in a
     *  patch of containing ideal elements.
     *  If 'unit_area' is true, then ideal elements have unit measure,
     *  otherwise they have unit edge lengths.  Test is done only for
     *  TRIANGLE, QUADRILATERAL, and HEXAHEDRON element types.
     */
    void test_ideal_element_zero_vertex_gradient( QualityMetric* qm, bool unit_area );

    /** Test that Hessian is positive-definite for ideal elements */
    void test_ideal_element_positive_definite_Hessian( QualityMetric* qm, bool unit_area );

    /** Test that diagonal bocks of Hessian are symetrical */
    void test_symmetric_Hessian_diagonal_blocks( QualityMetric* qm );

    /** test that metric value is consistent for element translation */
    void test_location_invariant( QualityMetric* qm, bool untangler = false );
    /** test that metric value is consistent for element scalaing */
    void test_scale_invariant( QualityMetric* qm, bool untangler = false );
    /** test that metric value is consistent for element rotation */
    void test_orient_invariant( QualityMetric* qm, bool untangler = false );

    /** test that gradient values don't change with element translation */
    void test_grad_location_invariant( QualityMetric* qm, bool untangler = false );
    /** test that gradient values rotate with element rotation */
    void test_grad_orient_invariant( QualityMetric* qm, bool untangler = false );
    /** test that Hessian values don't change with element translation */
    void test_hessian_location_invariant( QualityMetric* qm, bool untangler = false );

    /** test that metric inceases (decreases) as size deviates from ideal */
    void test_measures_size( QualityMetric* qm, bool unit_area );
    /** test that metric value increases as element orientation changes from ideal */
    void test_measures_in_plane_orientation( QualityMetric* qm );
    /** test that metric value increases as element orientation changes from ideal */
    void test_measures_out_of_plane_orientation( QualityMetric* qm );

    class PatchXform
    {
      public:
        virtual ~PatchXform() {}
        virtual void xform( PatchData& pd, PlanarDomain* dom )    = 0;
        virtual void xform_grad( std::vector< Vector3D >& grads ) = 0;
    };

    void test_transform_invariant( QualityMetric* qm, PatchXform& transform, bool untangler );

    void test_grad_transform_invariant( QualityMetric* qm, PatchXform& transform, bool untangler );

    void test_hessian_transform_invariant( QualityMetric* qm, PatchXform& transform, bool untangler );

    void test_measures_transform( QualityMetric* qm, PatchXform& transform, bool unit_area );

  private:
    inline bool type_is_supported( EntityTopology type )
    {
        return std::find( types.begin(), types.end(), type ) != types.end();
    }

    void test_type_is_supported( EntityTopology type, QualityMetric* qm );
    void test_type_is_not_supported( EntityTopology type, QualityMetric* qm );

    bool degenHexPyramid;  //!< See: ideal_pyramid_base_equals_height()
    std::vector< EntityTopology > types;
    const Settings* mSettings;
    PlanarDomain geomPlane;
};

#endif