smfl.h

The Free Finite Element Package is a library which contains numerical methods required when working

/*--------------------------------------------------------------------------

Free Finite Element Package                             
Copyright (c) 2002-2006 by Joerg Frochte
All rights reserved.

Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:

1. Redistributions of source code must retain the above copyright
   notice, this list of conditions and the following disclaimer.

2. Redistributions in binary form must reproduce the above copyright
   notice, this list of conditions and the following disclaimer in the
   documentation and/or other materials provided with the distribution.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER OR
CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
----------------------------------------------------------------------------*/

#ifndef __SMFL_H
#define __SMFL_H

/* simple mesh functionality library */

#include "meml.h"

# include <math.h>
# include <stdio.h>
# include <stdlib.h>

typedef MEML_FLOAT (*xyt_function) (MEML_FLOAT x, MEML_FLOAT y, MEML_FLOAT t);

typedef struct
{
  MEML_INT p[3];
} TRIANGLE;

typedef struct
{
  MEML_FLOAT a1[2];
  MEML_FLOAT a2[2];
  MEML_FLOAT a3[2];
} T_POINTS;

typedef struct
{
  MEML_FLOAT B[2][2];
  MEML_FLOAT det;
} TRANSFORMATION;

typedef struct
{
  char kind;

  MEML_INT number_of_points;
  MEML_INT number_of_triangles;
  MEML_INT number_of_boundary_points;
  /* number_of_edges = number_of_triangles + number_of_points -1 */
  /* Eulerische Polyederformel */
  MEML_INT number_of_edges;
  MEML_INT number_of_boundary_edges;
  MEML_INT number_of_adof;
  MEML_INT *boundary_edges;
  MEML_INT degrees_of_freedom_per_triangle;
  MEML_INT *number_of_neighbours;

  VECTOR *points;
  VECTOR *additional_degrees_of_freedom;
  VECTOR **normal_vector;

  INDEXARRAY *boundary;
  INDEXARRAY *triangles;
  /* adof := additional_degrees_of_freedom */
  MEML_INT **triangles_adof;
  MEML_INT **edges;
  MEML_INT **triangle2edge;
  MEML_INT **edge2triangle;

  INDEXARRAY **point2triangle;
  INDEXARRAY **neighbours;
  MEML_INT **son;
  MEML_FLOAT * ht;
  MEML_FLOAT hmax;
  MEML_FLOAT hmin;

  TRANSFORMATION *transformation;
  TRANSFORMATION *backtransformation;

  ME_MATRIX *restriction;
} MESH;

TRIANGLE smfl_get_triangle (MEML_INT w_triangle, MEML_INT * triangle);
T_POINTS smfl_get_t_points (TRIANGLE triangle, MEML_FLOAT * points);

INDEXARRAY *smfl_read_boundary_data (char filename[]);
VECTOR *smfl_read_point_data (char filename[]);
INDEXARRAY *smfl_read_triangle_data (char filename[]);


TRANSFORMATION *smfl_compute_transformations (const VECTOR * points,
					      const INDEXARRAY * triangles);
TRANSFORMATION *smfl_compute_backtransformations (const TRANSFORMATION *
						  trans,
						  const MEML_INT
						  number_of_triangles);

MESH *smfl_mesh_new (char kind, INDEXARRAY * boundary, VECTOR * points,
		     INDEXARRAY * triangles);
void smfl_mesh_free (MESH * mesh);
MESH * smfl_read_gts_meshdata(char kind, char filename[]);
void smfl_mesh_guess_normals (MESH * mesh);
MESH *smfl_mesh_refine (MESH * mesh, const INDEXARRAY * torefine);
MESH *  smfl_mesh_global_refine(MESH * mesh);
#endif