/usr/include/alberta/alberta.h is in libalberta2-dev 2.0.1-6.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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/* ALBERTA: an Adaptive multi Level finite element toolbox using */
/* Bisectioning refinement and Error control by Residual */
/* Techniques for scientific Applications */
/* */
/* file: alberta.h */
/* */
/* */
/* description: public header file of the ALBERTA package */
/* */
/*--------------------------------------------------------------------------*/
/* */
/* authors: Alfred Schmidt */
/* Zentrum fuer Technomathematik */
/* Fachbereich 3 Mathematik/Informatik */
/* Universitaet Bremen */
/* Bibliothekstr. 2 */
/* D-28359 Bremen, Germany */
/* */
/* Kunibert G. Siebert */
/* Institut fuer Mathematik */
/* Universitaet Augsburg */
/* Universitaetsstr. 14 */
/* D-86159 Augsburg, Germany */
/* */
/* Daniel Koester */
/* Institut fuer Mathematik */
/* Universitaet Augsburg */
/* Universitaetsstr. 14 */
/* D-86159 Augsburg, Germany */
/* */
/* http://www.alberta-fem.de */
/* */
/* (c) by A. Schmidt and K.G. Siebert (1996-2005) */
/* (c) by D. Koester (2002-2005) */
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/* Global configuration header */
/*--------------------------------------------------------------------------*/
#ifdef HAVE_CONFIG_H /* only defined during build of ALBERTA libs */
#include <config.h>
#endif
/*--------------------------------------------------------------------------*/
/* Header-File for ALBERTA utilities */
/*--------------------------------------------------------------------------*/
#ifndef _ALBERTA_H_
#define _ALBERTA_H_
#include "alberta_util.h"
#ifdef __cplusplus
extern "C" {
#endif
#define ALBERTA_VERSION "ALBERTA: Version 2.0"
/*--------------------------------------------------------------------------*/
/* Definition of the space dimension and of parameters depending on the */
/* space dimension: */
/* */
/* DIM_OF_WORLD: space dimension */
/* */
/* The ?D-suffix signals different simplex dimensions (formerly ==DIM). */
/*--------------------------------------------------------------------------*/
#ifndef DIM_OF_WORLD
# error DIM_OF_WORLD UNDEFINED
#endif
#ifndef ALBERTA_DEBUG
#warning ALBERTA_DEBUG WAS NOT DEFINED! DEFAULTING TO 0.
#define ALBERTA_DEBUG 0
#endif
/* The master dimension limit */
#define DIM_MAX 3
/* Various constants for dimension dependent geometrical quantities */
#define N_VERTICES(DIM) ((DIM)+1)
#define N_EDGES(DIM) ((DIM)*((DIM)+1)/2)
#define N_WALLS(DIM) ((DIM)+1) /* number of codim 1 subsimplexes */
#define N_FACES(DIM) (((DIM) == 3) * N_WALLS(DIM))
#define N_NEIGH(DIM) (((DIM) != 0) * N_WALLS(DIM))
#define DIM_FAC(DIM) ((DIM) < 2 ? 1 : (DIM) == 2 ? 2 : 6)
#define N_VERTICES_0D N_VERTICES(0)
#define N_EDGES_0D N_EDGES(0)
#define N_FACES_0D N_FACES(0)
#define N_NEIGH_0D N_NEIGH(0)
#define N_WALLS_0D N_WALLS(0)
#define N_VERTICES_1D N_VERTICES(1)
#define N_EDGES_1D N_EDGES(1)
#define N_FACES_1D N_FACES(1)
#define N_NEIGH_1D N_NEIGH(1)
#define N_WALLS_1D N_WALLS(1)
#define N_VERTICES_2D N_VERTICES(2)
#define N_EDGES_2D N_EDGES(2)
#define N_FACES_2D N_FACES(2)
#define N_NEIGH_2D N_NEIGH(2)
#define N_WALLS_2D N_WALLS(2)
#define N_VERTICES_3D N_VERTICES(3)
#define N_EDGES_3D N_EDGES(3)
#define N_FACES_3D N_FACES(3)
#define N_NEIGH_3D N_NEIGH(3)
#define N_WALLS_3D N_WALLS(3)
#define N_VERTICES_MAX N_VERTICES(DIM_MAX)
#define N_EDGES_MAX N_EDGES(DIM_MAX)
#define N_FACES_MAX N_FACES(DIM_MAX)
#define N_NEIGH_MAX N_NEIGH(DIM_MAX)
#define N_WALLS_MAX N_WALLS(DIM_MAX)
/* N_LAMBDA is the maximal number of barycentric coordinates, formerly DIM+1 */
/* Barycentric coords are often initialized using constant values, therefore */
/* we set this to 4. */
#define N_LAMBDA 4
#define LAMBDA_MAX N_LAMBDA
typedef REAL REAL_B[N_LAMBDA];
typedef REAL_B REAL_BB[N_LAMBDA];
typedef REAL REAL_D[DIM_OF_WORLD];
typedef REAL_D REAL_DD[DIM_OF_WORLD];
typedef REAL_D REAL_BD[N_LAMBDA];
typedef struct real_dds REAL_DDS;
struct real_dds {
REAL_D row0;
REAL row1[DIM_OF_WORLD-1]; /* zero size array in case of DOW == 1 */
#if DIM_OF_WORLD > 1
REAL row2[DIM_OF_WORLD-2]; /* zero size array in case of DOW == 2 */
#else
REAL row2[0];
#endif
};
/*--------------------------------------------------------------------------*/
/* some useful macros depending on DIM_OF_WORLD */
/*--------------------------------------------------------------------------*/
#include "alberta_inlines.h"
/*--------------------------------------------------------------------------*/
/* access to element index via element or element_info structure */
/*--------------------------------------------------------------------------*/
#if ALBERTA_DEBUG
#define INDEX(el) ((el) ? (el)->index : -1)
#else
#define INDEX(el) -1
#endif
/*--------------------------------------------------------------------------*/
/* access to leaf data (only for leaf elements) */
/*--------------------------------------------------------------------------*/
#define IS_LEAF_EL(el) (!(el)->child[0])
#define LEAF_DATA(el) ((void *)(el)->child[1])
/*--------------------------------------------------------------------------*/
/* boundary types */
/*--------------------------------------------------------------------------*/
#define INTERIOR 0
#define DIRICHLET 1
#define NEUMANN -1
#define IS_NEUMANN(bound) ((bound) <= NEUMANN)
#define IS_DIRICHLET(bound) ((bound) >= DIRICHLET)
#define IS_INTERIOR(bound) ((bound) == 0)
/*--------------------------------------------------------------------------*/
/* node types (indices in n_dof[] vectors, e.g.) */
/*--------------------------------------------------------------------------*/
#define N_NODE_TYPES (DIM_MAX+1)
#define VERTEX 0
#define CENTER 1
#define EDGE 2
#define FACE 3
/*--------------------------------------------------------------------------*/
/* basic types of the grid */
/*--------------------------------------------------------------------------*/
typedef signed int DOF;
typedef struct el EL;
typedef struct macro_el MACRO_EL;
typedef struct el_info EL_INFO;
typedef struct rc_list_el RC_LIST_EL;
typedef struct mesh MESH;
typedef struct parametric PARAMETRIC;
typedef struct traverse_stack TRAVERSE_STACK;
typedef struct adapt_stat ADAPT_STAT;
typedef struct adapt_instat ADAPT_INSTAT;
#ifndef DOF_ADMIN_DEF
typedef struct dof_admin DOF_ADMIN;
typedef struct dof_int_vec DOF_INT_VEC;
typedef struct dof_dof_vec DOF_DOF_VEC;
typedef struct dof_uchar_vec DOF_UCHAR_VEC;
typedef struct dof_schar_vec DOF_SCHAR_VEC;
typedef struct dof_real_vec DOF_REAL_VEC;
typedef struct dof_real_d_vec DOF_REAL_D_VEC;
typedef struct dof_ptr_vec DOF_PTR_VEC;
typedef struct matrix_row MATRIX_ROW;
typedef struct dof_matrix DOF_MATRIX;
typedef struct dowb_matrix_row DOWB_MATRIX_ROW;
typedef struct dof_dowb_matrix DOF_DOWB_MATRIX;
#endif
typedef struct bas_fcts BAS_FCTS;
typedef struct fe_space FE_SPACE;
typedef struct quadrature QUAD;
typedef struct quadrature QUADRATURE;
typedef struct quad_fast QUAD_FAST;
typedef struct macro_data MACRO_DATA;
typedef struct node_projection NODE_PROJECTION;
typedef struct list_node LIST_NODE;
typedef struct traverse_hook TRAVERSE_HOOK;
typedef void (*TRAVERSE_HOOK_FCT)(const EL_INFO *el_info, void *hook_data);
/* Traverse-hook node. See also add_traverse_hook(),
* remove_traverse_hook(). Traverse-Hooks are special hooks
* dynamically added and removed from the mesh. The hooks are run
* during mesh-traversal prior to calling the element function. They
* are intended to hide certain details from the application program,
* e.g. to modify basis functions on a per-element basis
* (hp-methods?). In principle, the init_element() of the PARAMETRIC
* structure could go into a traverse hook.
*/
struct list_node {
LIST_NODE *next;
LIST_NODE *prev;
};
#define LIST_ENTRY(node, type, nodename) \
((type *)((ptrdiff_t)node - (ptrdiff_t)&((type *)0)->nodename))
struct traverse_hook
{
TRAVERSE_HOOK_FCT function;
void *data; /* Per hook data. */
LIST_NODE node; /* doubly-linked list for efficient add and remove */
};
/*--------------------------------------------------------------------------*/
/* node projection descriptor: */
/* a function pointer which calculates the projected location of a new */
/* vertex resulting from refinement. */
/* curved boundary */
/* type: one of INTERIOR : DIRICHLET : NEUMANN */
/*--------------------------------------------------------------------------*/
struct node_projection
{
void (*func)(REAL_D old_coord, const EL_INFO *eli, const REAL_B lambda);
};
/*--------------------------------------------------------------------------*/
/* one single element (triangle) of the grid: */
/*--------------------------------------------------------------------------*/
/* */
/* position of the nodes in 1d: */
/* */
/* 0 _____ 1 or 0 _____ 1 */
/* 2 */
/* */
/* child[0] child[1] */
/* refinement: 0 _____ 1 0 ___ 1 0 ___ 1 */
/* 2 2 */
/* */
/*--------------------------------------------------------------------------*/
/* */
/* position of the nodes in 2d */
/* 2 2 2 2 */
/* /\ or /\ or /\ or /\ */
/* / \ 4/ \ 3 / \ 4/ \ 3 */
/* / \ / \ / 3 \ / 6 \ */
/* 0/______\1 0/______\1 0/______\1 0/______\1 */
/* 5 5 */
/* */
/* refinement: 2 child[0] 0 1 child[1] */
/* /\ /| |\ */
/* 4/ \ 3 --> 5/ |4 3| \ 5 */
/* / 6 \ /6 | |6 \ */
/* 0/______\1 1/___| |___\0 */
/* 5 3 2 2 4 */
/* */
/*--------------------------------------------------------------------------*/
/* */
/* 3d refinement: vertex numbering after (Baensch +) Kossaczky */
/* */
/* edges: */
/* E0: between V0, V1 */
/* E1: between V0, V2 */
/* E2: between V0, V3 */
/* E3: between V1, V2 */
/* E4: between V1, V3 */
/* E5: between V2, V3 */
/* */
/* Always edge 0 (between vertices 0 and 1) is bisected. */
/* */
/* V1 */
/* -+ */
/* ----- || */
/* E0 ------ | | */
/* ------ | | E3 */
/* ------ | | */
/* ------ | | */
/* V0 +. . . . . . . . . . . . . . | . . . | */
/* --- (E1) | + V2 */
/* --- | / */
/* --- |E4 / */
/* --- | / */
/* E2 --- | / E5 */
/* --- | / */
/* --- | / */
/* ---|/ */
/* + */
/* V3 */
/* */
/*--------------------------------------------------------------------------*/
/* child: pointers to the two children of the element */
/* if (child[0]==child[1]==nil) element is a leaf of the */
/* tree */
/* dof: vector of pointers to dof vectors :-) */
/* new_coord: in case of curved boundary, coords of ref.edge midpoint */
/* index: global element index (only for test purposes) */
/* mark: element is a leaf: */
/* mark == 0 do not refine/coarsen */
/* mark > 0 refine (mark times) */
/* mark < 0 may be coarsened (mark times) */
/*--------------------------------------------------------------------------*/
struct el
{
EL *child[2];
DOF **dof;
S_CHAR mark;
REAL *new_coord;
#if ALBERTA_DEBUG
int index;
#endif
};
/*--------------------------------------------------------------------------*/
/* child_vertex_3d[el_type][child][i] = */
/* parent's local vertex index of new vertex i */
/* 4 stands for the newly generated vertex */
/*--------------------------------------------------------------------------*/
/* child_edge_3d[el_type][child][i] = */
/* parent's local edge index of new edge i */
/* new edge 2 is half of old edge 0, */
/* new edges 4,5 are really new edges, and value is different: */
/* child_edge_3d[][][4,5] = index of same edge in other child */
/*--------------------------------------------------------------------------*/
/* vertex_of_edge_?d[edge][i], i = 1,2 are the two vertices of edge */
/*--------------------------------------------------------------------------*/
extern int vertex_of_edge_2d[3][2]; /* defined in traverse_r.c */
extern int child_vertex_3d[3][2][4]; /* defined in traverse_r.c */
extern int child_edge_3d[3][2][6]; /* defined in traverse_r.c */
extern int vertex_of_edge_3d[6][2]; /* defined in traverse_r.c */
/*--------------------------------------------------------------------------*/
/* edge_of_dofs_3d[i][j]: gives the local index of edge with vertices i, j */
/*--------------------------------------------------------------------------*/
extern U_CHAR edge_of_dofs_3d[4][4]; /* defined in refine.c */
/*--------------------------------------------------------------------------*/
/* PARAMETRIC structure, entry in MESH structure */
/* description of parametric meshes and elements */
/*--------------------------------------------------------------------------*/
struct parametric
{
char *name; /* textual description analogous to BAS_FCTS. */
int (*init_element)(const EL_INFO *info, const PARAMETRIC *parametric);
/* init_el = 0 : non-parametric element */
/* init_el = 1 : parametric element */
void (*coord_to_world)(const EL_INFO *info, const QUAD *quad,
int n, const REAL lambda[][N_LAMBDA], REAL_D *world);
int (*world_to_coord)(const EL_INFO *info,
int n, const REAL_D world[], REAL lambda[][N_LAMBDA]);
void (*det)(const EL_INFO *info, const QUAD *quad,
int n, const REAL lambda[][N_LAMBDA], REAL dets[]);
void (*grd_lambda)(const EL_INFO *info, const QUAD *quad,
int n, const REAL lambda[][N_LAMBDA],
REAL_D grd_lam[][N_LAMBDA], REAL dets[]);
int not_all; /* true: some elements may be non-parametric */
int use_reference_mesh; /* true: standard routines coord_to_world, etc. */
/* may be used to get data about the reference */
/* triangulation. Set to "false" by default. */
/* private entries */
void (*inherit_parametric)(MESH *slave);
void *data;
};
/*--------------------------------------------------------------------------*/
/* additional information to elements during hierarchy traversal */
/*--------------------------------------------------------------------------*/
/* mesh: pointer to the mesh structure */
/* coord: world coordinates of the nodes */
/* parametric case is handled via dof_vector */
/* vertex_bound: boundary type of the vertices */
/* edge_bound: boundary type of the edges */
/* face_bound: boundary type of the faces */
/* projection: node projection function for the new vertex which would */
/* result from a refinement of the current element. */
/* neigh: pointer to the adjacent elements */
/* nil-pointer for a part of the boundary */
/* opp_coord: world coordinates of opposite vertices */
/* opp_vertex: local indices of opposite vertices */
/* orientation: orientation of the tetrahedron (+1|-1) (only 3d) */
/*--------------------------------------------------------------------------*/
struct el_info
{
MESH *mesh;
REAL_D coord[N_VERTICES_MAX];
const MACRO_EL *macro_el;
EL *el, *parent;
FLAGS fill_flag;
S_CHAR vertex_bound[N_VERTICES_MAX];
S_CHAR edge_bound[N_EDGES_MAX];
S_CHAR face_bound[N_FACES_MAX];
NODE_PROJECTION *active_projection;
NODE_PROJECTION *projections[N_NEIGH_MAX + 1];
int level;
EL *neigh[N_NEIGH_MAX];
U_CHAR opp_vertex[N_NEIGH_MAX];
U_CHAR el_type;
REAL_D opp_coord[N_NEIGH_MAX];
S_CHAR orientation;
};
/* A macro for accessing the boundary type of the i-th wall,
* i.e. codim one sub-simplex.
*/
#define WALL_BOUND(eli, dim, i) \
((dim) == 1 \
? (eli)->vertex_bound[i] \
: ((dim) == 2 \
? (eli)->edge_bound[i] \
: (eli)->face_bound[i]))
/*--------------------------------------------------------------------------*/
/* RC_LIST_EL structure to describe a refinement/coarsening patch. */
/* el_info: contains information about the patch element. This is not*/
/* a pointer since EL_INFO structures are often overwritten */
/* during mesh traversal. */
/* no: index of the patch element in the patch. */
/* flag: for coarsening: true iff the coarsening edge of the */
/* patch element is the coarsening edge of the patch. */
/* neigh: neighbours to the right/left in the orientation of the */
/* edge, or nil pointer for a boundary face. (dim == 3 only)*/
/* opp_vertex: the opposite vertex of neigh[0/1]. (dim == 3 only) */
/*--------------------------------------------------------------------------*/
struct rc_list_el
{
EL_INFO el_info;
int no;
int flag;
RC_LIST_EL *neigh[2];
int opp_vertex[2];
};
/*--------------------------------------------------------------------------*/
/* flags, which information should be present in the EL_INFO structure */
/*--------------------------------------------------------------------------*/
#define FILL_NOTHING 0x00L
#define FILL_COORDS 0x01L
#define FILL_BOUND 0x02L
#define FILL_NEIGH 0x04L
#define FILL_OPP_COORDS 0x08L
#define FILL_ORIENTATION 0x10L
#define FILL_EL_TYPE 0x20L
#define FILL_PROJECTION 0x40L
#define FILL_ANY(mesh) \
(0x01L|0x02L|0x04L|0x08L|0x10L|0x20L|0x40L|(mesh)->active_hooks)
/* Hook-queue flags */
#define HOOK_QUEUE_OFFSET 24
enum hook_queue_enum {
HOOK_QUEUE_0 = 0,
BAS_FCTS_HOOK_QUEUE = HOOK_QUEUE_0,
HOOK_QUEUE_1,
HOOK_QUEUE_2,
HOOK_QUEUE_3,
HOOK_QUEUE_4,
HOOK_QUEUE_5,
HOOK_QUEUE_6,
HOOK_QUEUE_7,
};
/* Note: definition of enum must come before typedef for C++ compilation. */
typedef enum hook_queue_enum HOOK_QUEUE_ENUM;
#define RUN_HOOKS_0 (1UL << HOOK_QUEUE_0)
#define RUN_BAS_FCTS_HOOKS RUN_HOOKS_0
#define RUN_HOOKS_1 (1UL << HOOK_QUEUE_1)
#define RUN_HOOKS_2 (1UL << HOOK_QUEUE_2)
#define RUN_HOOKS_3 (1UL << HOOK_QUEUE_3)
#define RUN_HOOKS_4 (1UL << HOOK_QUEUE_4)
#define RUN_HOOKS_5 (1UL << HOOK_QUEUE_5)
#define RUN_HOOKS_6 (1UL << HOOK_QUEUE_6)
#define RUN_HOOKS_7 (1UL << HOOK_QUEUE_7)
/*--------------------------------------------------------------------------*/
/* flags for mesh traversal */
/*--------------------------------------------------------------------------*/
#define CALL_EVERY_EL_PREORDER 0x0100L
#define CALL_EVERY_EL_INORDER 0x0200L
#define CALL_EVERY_EL_POSTORDER 0x0400L
#define CALL_LEAF_EL 0x0800L
#define CALL_LEAF_EL_LEVEL 0x1000L
#define CALL_EL_LEVEL 0x2000L
#define CALL_MG_LEVEL 0x4000L /* used in multigrid methods */
#define TEST_FLAG(flags, el_info) \
TEST_EXIT(!((((el_info)->fill_flag)^(flags)) & (flags)),\
"flag %d not set\n", (flags))
#if ALBERTA_DEBUG==1
# define DEBUG_TEST_FLAG(flags, el_info) \
if((((el_info)->fill_flag)^(flags)) & (flags)) \
print_error_funcname(funcName, __FILE__, __LINE__),\
print_error_msg_exit("flag %d not set\n", (flags))
#else
# define DEBUG_TEST_FLAG(flags, el_info) do { funcName = funcName; } while (0)
#endif
/*--------------------------------------------------------------------------*/
/* one single element of the macro triangulation: */
/*--------------------------------------------------------------------------*/
/* el: pointer to the element data of the macro element */
/* coord: world coordinates of the nodes on the macro element */
/* vertex_bound: boundary type of the vertices */
/* edge_bound: boundary type of the edges */
/* face_bound: boundary type of the faces */
/* projection: possible node projection functions for all nodes [0] */
/* or for specific edges or faces (dim > 1), which will */
/* override entry [0]. */
/* index: unique global index of macro element */
/* neigh: pointer to the adjacent macro elements */
/* nil-pointer for a part of the boundary */
/* opp_vertex: local indices of opposite vertices */
/* el_type: type of corresponding element. */
/* orientation: orientation of corresponding element. */
/*--------------------------------------------------------------------------*/
struct macro_el
{
EL *el;
REAL *coord[N_VERTICES_MAX];
S_CHAR vertex_bound[N_VERTICES_MAX];
S_CHAR edge_bound[N_EDGES_MAX];
S_CHAR face_bound[N_FACES_MAX];
NODE_PROJECTION *projection[N_NEIGH_MAX + 1];
int index;
MACRO_EL *neigh[N_NEIGH_MAX];
S_CHAR opp_vertex[N_NEIGH_MAX];
U_CHAR el_type;
S_CHAR orientation;
};
/*--------------------------------------------------------------------------*/
/*--- index based storage of macro triangulations ---*/
/*--------------------------------------------------------------------------*/
struct macro_data
{
int dim; /* dimension of the elements */
int n_total_vertices;
int n_macro_elements;
REAL_D *coords; /* Length will be n_total_vertices */
int *mel_vertices; /* mel_vertices[i*n_vertices[dim]+j]: */
/* global index of jth vertex of element i */
int *neigh; /* neigh[i*n_neigh[dim]+j]: */
/* neighbour j of element i or -1 at boundaries */
S_CHAR *boundary; /* boundary[i*n_neigh[dim]+j]: */
/* boundary type of jth vertex/edge/face of element i */
/* WARNING: In 1D the local index 0 corresponds to vertex 1 & vice versa! */
/* (Consistent with macro_data.neigh) */
U_CHAR *el_type; /* el_type[i]: type of element i */
/* only used in 3d! */
};
#ifndef DOF_ADMIN_DEF
#define DOF_ADMIN_DEF
/*--------------------------------------------------------------------------*/
/* dof handling */
/*--------------------------------------------------------------------------*/
#define DOF_FREE_SIZE 32
#define DOF_UNIT_ALL_FREE 0xFFFFFFFF
typedef unsigned int DOF_FREE_UNIT;
extern DOF_FREE_UNIT dof_free_bit[DOF_FREE_SIZE]; /* in dof_admin.c */
#define FOR_ALL_DOFS(admin, todo) \
if ((admin)->hole_count == 0) { int dof; \
for (dof = 0; dof < (admin)->used_count; dof++) { todo; } } \
else { DOF_FREE_UNIT _dfu, *_dof_free = (admin)->dof_free; \
int _i, _ibit, dof=0; \
int _n= ((admin)->size_used + DOF_FREE_SIZE-1) / DOF_FREE_SIZE; \
for (_i = 0; _i < _n; _i++) { \
if ((_dfu = _dof_free[_i])) { \
if (_dfu == DOF_UNIT_ALL_FREE) dof += DOF_FREE_SIZE; \
else for (_ibit = 0; _ibit < DOF_FREE_SIZE; _ibit++) { \
if (!(_dfu & dof_free_bit[_ibit])) { todo; } dof++; } } \
else { \
for (_ibit = 0; _ibit < DOF_FREE_SIZE; _ibit++){ todo; dof++;}}}}
#define FOR_ALL_FREE_DOFS(admin, todo) \
if ((admin)->hole_count == 0) { int dof; \
for (dof = (admin)->used_count; \
dof < (admin)->size; dof++) { todo; } } \
else { DOF_FREE_UNIT _dfu, *_dof_free = (admin)->dof_free; \
int _i, _ibit, dof=0; \
int _n= ((admin)->size + DOF_FREE_SIZE-1) / DOF_FREE_SIZE; \
for (_i = 0; _i < _n; _i++) { \
if ((_dfu = _dof_free[_i])) { \
if (_dfu == DOF_UNIT_ALL_FREE) \
for (_ibit = 0 ; _ibit < DOF_FREE_SIZE; _ibit++)\
{ todo; dof++; } \
else for (_ibit = 0; _ibit < DOF_FREE_SIZE; _ibit++) { \
if (_dfu & dof_free_bit[_ibit]) { todo; } dof++; } } \
else dof += DOF_FREE_SIZE; }}
struct dof_admin
{
MESH *mesh;
const char *name;
DOF_FREE_UNIT *dof_free; /* flag bit vector */
unsigned int dof_free_size;/* flag bit vector size */
unsigned int first_hole; /* index of first non-zero dof_free entry */
U_CHAR preserve_coarse_dofs; /* preserve non-leaf DOFs or not */
DOF size; /* allocated size of dof_list vector */
DOF used_count; /* number of used dof indices */
DOF hole_count; /* number of FREED dof indices (NOT size-used)*/
DOF size_used; /* > max. index of a used entry */
int n_dof[N_NODE_TYPES]; /* dofs from THIS dof_admin */
int n0_dof[N_NODE_TYPES]; /* dofs from previous dof_admins */
DOF_INT_VEC *dof_int_vec; /* linked list of int vectors */
DOF_DOF_VEC *dof_dof_vec; /* linked list of dof vectors */
DOF_DOF_VEC *int_dof_vec; /* linked list of dof vectors */
DOF_UCHAR_VEC *dof_uchar_vec; /* linked list of u_char vectors */
DOF_SCHAR_VEC *dof_schar_vec; /* linked list of s_char vectors */
DOF_REAL_VEC *dof_real_vec; /* linked list of real vectors */
DOF_REAL_D_VEC *dof_real_d_vec; /* linked list of real_d vectors */
DOF_PTR_VEC *dof_ptr_vec; /* linked list of void * vectors */
DOF_MATRIX *dof_matrix; /* linked list of matrices */
DOF_DOWB_MATRIX *dof_dowb_matrix; /* linked list of block matrices */
/*--------------------------------------------------------------------------*/
/*--- pointer for administration; don't touch! ---*/
/*--------------------------------------------------------------------------*/
void *mem_info;
};
/*--------------------------------------------------------------------------*/
/* dof vector structures */
/*--------------------------------------------------------------------------*/
/* next: pointer to next structure containing vector of same type */
/* fe_space: pointer to fe_space structure */
/* refine_interpol: dof interpolation during refinement */
/* coarse_restrict: restriction of linear functionals evaluated on a finer */
/* grid and stored in dof vector to the coarser grid */
/* during coarsening */
/* or dof interpolation during coarsening */
/* size: allocated size of vector */
/* vec[]: vector entries (entry is used if dof index is used) */
/*--------------------------------------------------------------------------*/
struct dof_int_vec
{
DOF_INT_VEC *next;
const FE_SPACE *fe_space;
const char *name;
DOF size;
int *vec;
void (*refine_interpol)(DOF_INT_VEC *, RC_LIST_EL *, int n);
void (*coarse_restrict)(DOF_INT_VEC *, RC_LIST_EL *, int n);
/*--------------------------------------------------------------------------*/
/*--- pointer for administration; don't touch! ---*/
/*--------------------------------------------------------------------------*/
void *mem_info;
};
struct dof_dof_vec
{
DOF_DOF_VEC *next;
const FE_SPACE *fe_space;
const char *name;
DOF size;
DOF *vec;
void (*refine_interpol)(DOF_DOF_VEC *, RC_LIST_EL *, int n);
void (*coarse_restrict)(DOF_DOF_VEC *, RC_LIST_EL *, int n);
void *mem_info;
};
struct dof_uchar_vec
{
DOF_UCHAR_VEC *next;
const FE_SPACE *fe_space;
const char *name;
DOF size;
U_CHAR *vec;
void (*refine_interpol)(DOF_UCHAR_VEC *, RC_LIST_EL *, int n);
void (*coarse_restrict)(DOF_UCHAR_VEC *, RC_LIST_EL *, int n);
void *mem_info;
};
struct dof_schar_vec
{
DOF_SCHAR_VEC *next;
const FE_SPACE *fe_space;
const char *name;
DOF size;
S_CHAR *vec;
void (*refine_interpol)(DOF_SCHAR_VEC *, RC_LIST_EL *, int n);
void (*coarse_restrict)(DOF_SCHAR_VEC *, RC_LIST_EL *, int n);
void *mem_info;
};
struct dof_real_vec
{
DOF_REAL_VEC *next;
const FE_SPACE *fe_space;
const char *name;
DOF size;
REAL *vec;
void (*refine_interpol)(DOF_REAL_VEC *, RC_LIST_EL *, int n);
void (*coarse_restrict)(DOF_REAL_VEC *, RC_LIST_EL *, int n);
void *mem_info;
};
struct dof_real_d_vec
{
DOF_REAL_D_VEC *next;
const FE_SPACE *fe_space;
const char *name;
DOF size;
REAL_D *vec;
void (*refine_interpol)(DOF_REAL_D_VEC *, RC_LIST_EL *, int n);
void (*coarse_restrict)(DOF_REAL_D_VEC *, RC_LIST_EL *, int n);
void *mem_info;
};
struct dof_ptr_vec
{
DOF_PTR_VEC *next;
const FE_SPACE *fe_space;
const char *name;
DOF size;
void **vec;
void (*refine_interpol)(DOF_PTR_VEC *, RC_LIST_EL *, int n);
void (*coarse_restrict)(DOF_PTR_VEC *, RC_LIST_EL *, int n);
void *mem_info;
};
/*--------------------------------------------------------------------------*/
/* sparse matrix with one row for each dof, */
/* entries are either REAL or REAL_DD */
/*--------------------------------------------------------------------------*/
/* next: pointer to next matrix (linked list in MESH) */
/* matrix_row[]: pointers to row structures (or nil if row index is unused)*/
/* size: currently allocated size of matrix_row[] */
/*--------------------------------------------------------------------------*/
struct dof_matrix
{
DOF_MATRIX *next;
const FE_SPACE *row_fe_space;
const FE_SPACE *col_fe_space;
const char *name;
MATRIX_ROW **matrix_row; /* lists of matrix entries */
DOF size; /* size of vector matrix_row */
void (*refine_interpol)(DOF_MATRIX *, RC_LIST_EL *, int n);
void (*coarse_restrict)(DOF_MATRIX *, RC_LIST_EL *, int n);
void *mem_info;
};
/* "flag" values for "type" component */
#define DOWBM_FULL (1 << 0)
#define DOWBM_SYMM (1 << 1)
#define DOWBM_DIAG (1 << 2)
typedef enum dowbm_type {
dowbm_full = DOWBM_FULL,
dowbm_diag = DOWBM_DIAG,
dowbm_symm = DOWBM_SYMM
} DOWBM_TYPE;
struct dof_dowb_matrix
{
DOF_DOWB_MATRIX *next;
const FE_SPACE *row_fe_space;
const FE_SPACE *col_fe_space;
const char *name;
DOWB_MATRIX_ROW **matrix_row; /* lists of matrix entries */
DOF size; /* size of vector matrix_row */
DOWBM_TYPE type;
void (*refine_interpol)(DOF_DOWB_MATRIX *, RC_LIST_EL *, int n);
void (*coarse_restrict)(DOF_DOWB_MATRIX *, RC_LIST_EL *, int n);
void *mem_info;
};
/*--------------------------------------------------------------------------*/
/* row structure for sparse matrix, with either REAL or REAL_DD entries. */
/*--------------------------------------------------------------------------*/
/* next: pointer to next structure containing entries of same row */
/* col[]: column indices of entries (if >= 0; else unused) */
/* entry[]: matrix entries */
/*--------------------------------------------------------------------------*/
#define ROW_LENGTH 9
struct matrix_row
{
MATRIX_ROW *next;
DOF col[ROW_LENGTH]; /* column indices */
REAL entry[ROW_LENGTH]; /* matrix entries */
};
/* full featured blocks */
struct dowb_matrix_row
{
DOWB_MATRIX_ROW *next;
DOF col[ROW_LENGTH]; /* column indices */
union {
REAL_DD full[0]; /* full */
REAL_DDS symm[0]; /* symmetric, only upper triangle is stored */
REAL_D diag[0]; /* diagonal */
} entry; /* matrix entries */
};
/* shared by DOF_MATRIX and DOF_DOWB_MATRIX */
#define ENTRY_USED(col) ((col) >= 0)
#define ENTRY_NOT_USED(col) ((col) < 0)
#define UNUSED_ENTRY -1
#define NO_MORE_ENTRIES -2
#ifndef __CBLAS_H__
typedef enum { NoTranspose,
Transpose,
ConjugateTranspose } MatrixTranspose;
#endif
#endif /* DOF_ADMIN_DEF */
/*--------------------------------------------------------------------------*/
/* Here comes the MESH (giving access to the whole triangulation) */
/*--------------------------------------------------------------------------*/
struct mesh
{
const char *name;
int dim;
int n_vertices;
int n_elements;
int n_hier_elements;
int n_edges; /* Only used for dim > 1 */
int n_faces; /* Only used for dim == 3 */
int max_edge_neigh; /* Only used for dim == 3 */
int n_macro_el;
MACRO_EL *macro_els;
REAL diam[DIM_OF_WORLD];
PARAMETRIC *parametric;
DOF_ADMIN **dof_admin;
int n_dof_admin;
int n_dof_el; /* sum of all dofs from all admins */
int n_dof[N_NODE_TYPES]; /* sum of vertex/edge/... dofs from */
/* all admins */
int n_node_el; /* number of used nodes on each element */
int node[N_NODE_TYPES]; /* index of first vertex/edge/... node*/
int cookie; /* changed on each refine/coarsen. Use this to */
/* check consistency of meshes and DOF vectors when reading from files.*/
/*--------------------------------------------------------------------------*/
/*--- pointer for administration; don't touch! ---*/
/*--------------------------------------------------------------------------*/
void *mem_info;
/* Linked list of hook functions to be run during mesh-traverse
* before the per-element method is called.
*/
LIST_NODE traverse_hooks[8];
FLAGS active_hooks;
};
/*--------------------------------------------------------------------------*/
/* stack data structure for non-recursive mesh traversal */
/*--------------------------------------------------------------------------*/
struct traverse_stack
{
MESH *traverse_mesh;
int traverse_level;
FLAGS traverse_fill_flag;
const MACRO_EL *traverse_mel;
int stack_size;
int stack_used;
EL_INFO *elinfo_stack;
U_CHAR *info_stack;
const MACRO_EL *save_traverse_mel;
EL_INFO *save_elinfo_stack;
U_CHAR *save_info_stack;
int save_stack_used;
int el_count;
int marker;
TRAVERSE_STACK *next;
};
/*--------------------------------------------------------------------------*/
/*--- data structure for basis function representation ---*/
/*--------------------------------------------------------------------------*/
typedef REAL BAS_FCT(const REAL[N_LAMBDA]);
typedef const REAL *GRD_BAS_FCT(const REAL[N_LAMBDA]);
typedef const REAL (*D2_BAS_FCT(const REAL[N_LAMBDA]))[N_LAMBDA];
struct bas_fcts
{
char *name; /* textual description */
int dim; /* dimension of the corresponding mesh. */
int n_bas_fcts; /* number of basisfunctions on one el */
int degree; /* maximal degree of the basis functions */
const int n_dof[N_NODE_TYPES]; /* dofs from these bas_fcts */
void (*init_element)(const EL_INFO *, const FE_SPACE *, U_CHAR);
BAS_FCT **phi;
GRD_BAS_FCT **grd_phi;
D2_BAS_FCT **D2_phi;
const DOF *(*get_dof_indices)(const EL *, const DOF_ADMIN *, DOF *);
const S_CHAR *(*get_bound)(const EL_INFO *, S_CHAR *);
/*************** entries must be set for interpolation ********************/
const REAL *(*interpol)(const EL_INFO *el_info, int n, const int *indices,
REAL (*f)(const REAL_D),
REAL (*f_loc)(const EL_INFO *el_info,
const REAL lambda[N_LAMBDA]),
REAL *coeff);
const REAL_D *(*interpol_d)(const EL_INFO *el_info, int n,
const int *indices,
const REAL *(*f)(const REAL_D, REAL_D),
const REAL *(*f_loc)(const EL_INFO *el_info,
const REAL lambda[N_LAMBDA],
REAL_D val),
REAL_D *coeff);
/******************** optional entries ***********************************/
const int *(*get_int_vec)(const EL *, const DOF_INT_VEC *, int *);
const REAL *(*get_real_vec)(const EL *, const DOF_REAL_VEC *, REAL *);
const REAL_D *(*get_real_d_vec)(const EL *, const DOF_REAL_D_VEC *, REAL_D *);
const U_CHAR *(*get_uchar_vec)(const EL *, const DOF_UCHAR_VEC *, U_CHAR *);
const S_CHAR *(*get_schar_vec)(const EL *, const DOF_SCHAR_VEC *, S_CHAR *);
void (*real_refine_inter)(DOF_REAL_VEC *, RC_LIST_EL *, int);
void (*real_coarse_inter)(DOF_REAL_VEC *, RC_LIST_EL *, int);
void (*real_coarse_restr)(DOF_REAL_VEC *, RC_LIST_EL *, int);
void (*real_d_refine_inter)(DOF_REAL_D_VEC *, RC_LIST_EL *, int);
void (*real_d_coarse_inter)(DOF_REAL_D_VEC *, RC_LIST_EL *, int);
void (*real_d_coarse_restr)(DOF_REAL_D_VEC *, RC_LIST_EL *, int);
void *bas_fcts_data;
};
/* Barycentric coordinates of Lagrange nodes. */
#define LAGRANGE_NODES(bfcts) ((const REAL_B *)(bfcts)->bas_fcts_data)
/*--------------------------------------------------------------------------*/
/*--- FE spaces are a triple of DOFs and BAS_FCTs on a MESH ---*/
/*--------------------------------------------------------------------------*/
struct fe_space
{
const char *name;
const DOF_ADMIN *admin;
const BAS_FCTS *bas_fcts;
MESH *mesh;
};
/*--------------------------------------------------------------------------*/
/*--- data structures for numerical integration ---*/
/*--------------------------------------------------------------------------*/
struct quadrature
{
char *name;
int degree;
int dim;
int n_points;
const double **lambda;
const double *w;
};
#define MAX_N_QUAD_POINTS 64
/*--------------------------------------------------------------------------*/
/*--- data structure with precomputed values of basis functions at ---*/
/*--- quadrature nodes on the standard element ---*/
/*--------------------------------------------------------------------------*/
#define INIT_PHI 1
#define INIT_GRD_PHI 2
#define INIT_D2_PHI 4
struct quad_fast
{
const QUAD *quad;
const BAS_FCTS *bas_fcts;
int n_points;
int n_bas_fcts;
const double *w;
U_CHAR init_flag;
REAL **phi;
REAL (**grd_phi)[N_LAMBDA];
REAL (**D2_phi)[N_LAMBDA][N_LAMBDA];
};
/*--------------------------------------------------------------------------*/
/*--- data structure for adaptive methods ---*/
/*--------------------------------------------------------------------------*/
struct adapt_stat
{
const char *name;
REAL tolerance;
REAL p; /* power in estimator norm */
int max_iteration;
int info;
REAL (*estimate)(MESH *mesh, ADAPT_STAT *adapt);
REAL (*get_el_est)(EL *el); /* local error estimate */
REAL (*get_el_estc)(EL *el); /* local coarsening error estimate*/
U_CHAR (*marking)(MESH *mesh, ADAPT_STAT *adapt);
void *est_info; /* estimator parameters */
REAL err_sum, err_max; /* sum and max of el_est */
void (*build_before_refine)(MESH *mesh, U_CHAR flag);
void (*build_before_coarsen)(MESH *mesh, U_CHAR flag);
void (*build_after_coarsen)(MESH *mesh, U_CHAR flag);
void (*solve)(MESH *mesh);
int refine_bisections;
int coarsen_allowed; /* 0 : 1 */
int coarse_bisections;
int strategy; /* 1=GR, 2=MS, 3=ES, 4=GERS */
REAL MS_gamma, MS_gamma_c; /* maximum strategy */
REAL ES_theta, ES_theta_c; /* equidistribution strategy */
REAL GERS_theta_star, GERS_nu, GERS_theta_c; /* willy's strategy */
};
struct adapt_instat
{
const char *name;
ADAPT_STAT adapt_initial[1];
ADAPT_STAT adapt_space[1];
REAL time;
REAL start_time, end_time;
REAL timestep;
void (*init_timestep)(MESH *mesh, ADAPT_INSTAT *adapt);
void (*set_time)(MESH *mesh, ADAPT_INSTAT *adapt);
void (*one_timestep)(MESH *mesh, ADAPT_INSTAT *adapt);
REAL (*get_time_est)(MESH *mesh, ADAPT_INSTAT *adapt);
void (*close_timestep)(MESH *mesh, ADAPT_INSTAT *adapt);
int strategy;
int max_iteration;
REAL tolerance;
REAL rel_initial_error;
REAL rel_space_error;
REAL rel_time_error;
REAL time_theta_1;
REAL time_theta_2;
REAL time_delta_1;
REAL time_delta_2;
int info;
};
#define MESH_REFINED 1
#define MESH_COARSENED 2
#define H1_NORM 1
#define L2_NORM 2
/*--------------------------------------------------------------------------*/
/*--- data structures for matrix and vector update ---*/
/*--------------------------------------------------------------------------*/
typedef struct el_matrix_info EL_MATRIX_INFO;
struct el_matrix_info
{
int n_row;
const DOF_ADMIN *row_admin;
const DOF *(*get_row_dof)(const EL *,const DOF_ADMIN *, DOF *);
int n_col;
const DOF_ADMIN *col_admin;
const DOF *(*get_col_dof)(const EL *,const DOF_ADMIN *, DOF *);
const S_CHAR *(*get_bound)(const EL_INFO *, S_CHAR *);
REAL factor;
const REAL **(*el_matrix_fct)(const EL_INFO *, void *);
void *fill_info;
FLAGS fill_flag;
};
typedef struct el_dowb_matrix_info EL_DOWB_MATRIX_INFO;
struct el_dowb_matrix_info
{
int n_row;
const DOF_ADMIN *row_admin;
const DOF *(*get_row_dof)(const EL *,const DOF_ADMIN *, DOF *);
int n_col;
const DOF_ADMIN *col_admin;
const DOF *(*get_col_dof)(const EL *,const DOF_ADMIN *, DOF *);
const S_CHAR *(*get_bound)(const EL_INFO *, S_CHAR *);
REAL factor;
const void **(*el_matrix_fct)(const EL_INFO *, void *);
void *fill_info;
FLAGS fill_flag;
DOWBM_TYPE type; /* dowbm_full, _symm or _diag */
};
typedef struct el_vec_info EL_VEC_INFO;
struct el_vec_info
{
int n_dof;
const DOF_ADMIN *admin;
const DOF *(*get_dof)(const EL *,const DOF_ADMIN *, DOF *);
const S_CHAR *(*get_bound)(const EL_INFO *, S_CHAR *);
REAL factor;
const REAL *(*el_vec_fct)(const EL_INFO *, void *);
void *fill_info;
FLAGS fill_flag;
};
typedef struct el_vec_d_info EL_VEC_D_INFO;
struct el_vec_d_info
{
int n_dof;
const DOF_ADMIN *admin;
const DOF *(*get_dof)(const EL *,const DOF_ADMIN *, DOF *);
const S_CHAR *(*get_bound)(const EL_INFO *, S_CHAR *);
REAL factor;
const REAL_D *(*el_vec_fct)(const EL_INFO *, void *);
void *fill_info;
FLAGS fill_flag;
};
/*--------------------------------------------------------------------------*/
/*--- data structure about the differential operator for matrix assemblage */
/*--------------------------------------------------------------------------*/
typedef struct operator_info OPERATOR_INFO;
struct operator_info
{
const FE_SPACE *row_fe_space;
const FE_SPACE *col_fe_space;
const QUAD *quad[3];
int (*init_element)(const EL_INFO *, const QUAD *[3], void *);
const REAL (*(*LALt)(const EL_INFO *, const QUAD *, int, void *))[N_LAMBDA];
int LALt_pw_const;
int LALt_symmetric;
const REAL *(*Lb0)(const EL_INFO *, const QUAD *, int, void *);
int Lb0_pw_const;
const REAL *(*Lb1)(const EL_INFO *, const QUAD *, int, void *);
int Lb1_pw_const;
int Lb0_Lb1_anti_symmetric;
REAL (*c)(const EL_INFO *, const QUAD *, int, void *);
int c_pw_const;
int use_get_bound;
void *user_data;
FLAGS fill_flag;
};
typedef struct dowb_operator_info DOWB_OPERATOR_INFO;
struct dowb_operator_info
{
const FE_SPACE *row_fe_space;
const FE_SPACE *col_fe_space;
const QUAD *quad[3];
int (*init_element)(const EL_INFO *, const QUAD *[3], void *);
union {
const REAL_DD (*(*full)(const EL_INFO *,
const QUAD *, int, void *))[N_LAMBDA];
const REAL_DDS (*(*symm)(const EL_INFO *,
const QUAD *, int, void *))[N_LAMBDA];
const REAL_D (*(*diag)(const EL_INFO *,
const QUAD *, int, void *))[N_LAMBDA];
} LALt;
int LALt_pw_const;
int LALt_symmetric;
union {
const REAL_DD *(*full)(const EL_INFO *, const QUAD *, int, void *);
const REAL_DDS *(*symm)(const EL_INFO *, const QUAD *, int, void *);
const REAL_D *(*diag)(const EL_INFO *, const QUAD *, int, void *);
} Lb0;
int Lb0_pw_const;
union {
const REAL_DD *(*full)(const EL_INFO *, const QUAD *, int, void *);
const REAL_DDS *(*symm)(const EL_INFO *, const QUAD *, int, void *);
const REAL_D *(*diag)(const EL_INFO *, const QUAD *, int, void *);
} Lb1;
int Lb1_pw_const;
int Lb0_Lb1_anti_symmetric;
union {
const REAL_D *(*full)(const EL_INFO *, const QUAD *, int, void *);
const REAL_DDS *(*symm)(const EL_INFO *, const QUAD *, int, void *);
const REAL *(*diag)(const EL_INFO *, const QUAD *, int, void *);
} c;
int c_pw_const;
int use_get_bound;
void *user_data;
FLAGS fill_flag;
DOWBM_TYPE type; /* dowbm_full, _symm or _diag */
};
/*--------------------------------------------------------------------------*/
/* calculate element stiffness matrices by preevaluated integrals over the */
/* the reference element. */
/*--------------------------------------------------------------------------*/
typedef struct q11_psi_phi Q11_PSI_PHI;
typedef struct q01_psi_phi Q01_PSI_PHI;
typedef struct q10_psi_phi Q10_PSI_PHI;
typedef struct q00_psi_phi Q00_PSI_PHI;
struct q11_psi_phi
{
const BAS_FCTS *psi;
const BAS_FCTS *phi;
const QUAD *quad;
const int **n_entries;
const REAL ***values;
const int ***k;
const int ***l;
};
struct q01_psi_phi
{
const BAS_FCTS *psi;
const BAS_FCTS *phi;
const QUAD *quad;
const int **n_entries;
const REAL ***values;
const int ***l;
};
struct q10_psi_phi
{
const BAS_FCTS *psi;
const BAS_FCTS *phi;
const QUAD *quad;
const int **n_entries;
const REAL ***values;
const int ***k;
};
struct q00_psi_phi
{
const BAS_FCTS *psi;
const BAS_FCTS *phi;
const QUAD *quad;
const REAL **values;
};
/*--------------------------------------------------------------------------*/
/* data type for preconditioning */
/*--------------------------------------------------------------------------*/
typedef struct precon PRECON;
struct precon
{
void *precon_data;
int (*init_precon)(void *precon_data);
void (*precon)(void *precon_data, int n, REAL *vec);
void (*exit_precon)(void *precon_data);
};
const PRECON *get_diag_precon_s(const DOF_MATRIX *, const DOF_SCHAR_VEC *);
const PRECON *get_diag_precon_d(const DOF_MATRIX *, const DOF_SCHAR_VEC *);
const PRECON *get_diag_precon_dowb(const DOF_DOWB_MATRIX *,
const DOF_SCHAR_VEC *);
const PRECON *get_HB_precon_s(const FE_SPACE *, const DOF_SCHAR_VEC *, int, int);
const PRECON *get_HB_precon_d(const FE_SPACE *, const DOF_SCHAR_VEC *, int, int);
const PRECON *get_BPX_precon_s(const FE_SPACE *, const DOF_SCHAR_VEC *, int, int);
const PRECON *get_BPX_precon_d(const FE_SPACE *, const DOF_SCHAR_VEC *, int, int);
/*--------------------------------------------------------------------------*/
/* solver identification for interface to OEM-lib */
/*--------------------------------------------------------------------------*/
typedef enum {NoSolver, BiCGStab, CG, TfQMR, GMRes, ODir, ORes} OEM_SOLVER;
/*--------------------------------------------------------------------------*/
/*--- abstract multigrid ---*/
/*--------------------------------------------------------------------------*/
typedef struct multi_grid_info MULTI_GRID_INFO;
struct multi_grid_info
{
REAL tolerance; /* tol. for resid */
REAL exact_tolerance; /* tol. for exact_solver */
int cycle; /* 1=V-cycle, 2=W-cycle */
int n_pre_smooth, n_in_smooth; /* no of smoothing loops */
int n_post_smooth; /* no of smoothing loops */
int mg_levels; /* current no. of levels */
int exact_level; /* level for exact_solver */
int max_iter; /* max. no of MG iter's */
int info;
int (*init_multi_grid)(MULTI_GRID_INFO *mg_info);
void (*pre_smooth)(MULTI_GRID_INFO *mg_info, int level, int n);
void (*in_smooth)(MULTI_GRID_INFO *mg_info, int level, int n);
void (*post_smooth)(MULTI_GRID_INFO *mg_info, int level, int n);
void (*mg_restrict)(MULTI_GRID_INFO *mg_info, int level);
void (*mg_prolongate)(MULTI_GRID_INFO *mg_info, int level);
void (*exact_solver)(MULTI_GRID_INFO *mg_info, int level);
REAL (*mg_resid)(MULTI_GRID_INFO *mg_info, int level);
void (*exit_multi_grid)(MULTI_GRID_INFO *mg_info);
void *data; /* application dep. data */
};
int MG(MULTI_GRID_INFO *mg_info);
/*--------------------------------------------------------------------------*/
/*--- concrete multigrid ---*/
/*--------------------------------------------------------------------------*/
typedef struct mg_s_info MG_S_INFO;
struct mg_s_info
{
MULTI_GRID_INFO *mg_info; /* abstract MG info */
const FE_SPACE *fe_space;
DOF_MATRIX *mat;
const DOF_REAL_VEC *f;
DOF_REAL_VEC *u;
const DOF_SCHAR_VEC *bound;
int smoother, exact_solver;
REAL smooth_omega, exact_omega;
int size; /* current size of vectors*/
DOF_MATRIX **matrix; /* one for each level */
REAL **f_h; /* one for each level */
REAL **u_h; /* one for each level */
REAL **r_h; /* one for each level */
int *dofs_per_level; /* count dofs per level */
int sort_size; /* size of sort vectors */
DOF *sort_dof; /* dofs in order of levels*/
DOF *(dof_parent[2]); /* (for linear elements) */
U_CHAR *dof_level;
S_CHAR *sort_bound; /* sorted bound */
int sort_invers_size; /* size of inv. sort list */
int *sort_dof_invers; /* inverse sort list */
};
/*--------------------------------------------------------------------------*/
/* sort_dof[ sorted dof ] = unsorted dof */
/* sort_dof_invers[ unsorted dof ] = sorted dof */
/*--------------------------------------------------------------------------*/
/* file MG_s1.c DOF_sort routines *******************************************/
void MG_s_setup_levels(MG_S_INFO *mg_s_info);
void MG_s_setup_mat_b(MG_S_INFO *mg_s_info,
DOF_MATRIX *mat, const DOF_SCHAR_VEC *bound);
void MG_s_dof_copy_to_sparse(MG_S_INFO *mg_s_info,
const DOF_REAL_VEC *x, REAL *y);
void MG_s_dof_copy_from_sparse(MG_S_INFO *mg_s_info,
const REAL *x, DOF_REAL_VEC *y);
void MG_s_reset_mat(MG_S_INFO *mg_s_info);
void MG_s_sort_mat(MG_S_INFO *mg_s_info);
void MG_s_free_mem(MG_S_INFO *mg_s_info);
/* file MG_s2.c: DOF_sort independent routines ******************************/
void MG_s_restrict_mg_matrices(MG_S_INFO *mg_s_info);
void MG_s_restrict(MULTI_GRID_INFO *mg_info, int mg_level);
void MG_s_prolongate(MULTI_GRID_INFO *mg_info, int mg_level);
REAL MG_s_resid(MULTI_GRID_INFO *mg_info, int mg_level);
void MG_s_smoother(MULTI_GRID_INFO *mg_info, int mg_level, int n);
void MG_s_exact_solver(MULTI_GRID_INFO *mg_info, int mg_level);
void MG_s_gemv(MG_S_INFO *mg_s_info, int mg_level, MatrixTranspose transpose,
REAL alpha, DOF_MATRIX *a, REAL *x, REAL beta, REAL *y);
/* file MG_s.c: *************************************************************/
int mg_s(DOF_MATRIX *matrix, DOF_REAL_VEC *u, const DOF_REAL_VEC *f,
const DOF_SCHAR_VEC *bound,
REAL tol, int max_iter, int info, char *prefix);
MG_S_INFO *mg_s_init(DOF_MATRIX *matrix, const DOF_SCHAR_VEC *bound,
int info, char *prefix);
int mg_s_solve(MG_S_INFO *mg_s_info,
DOF_REAL_VEC *u, const DOF_REAL_VEC *f, REAL tol, int max_iter);
void mg_s_exit(MG_S_INFO *mg_s_info);
/*--------------------------------------------------------------------------*/
/* Graphic output Definitions */
/*--------------------------------------------------------------------------*/
typedef void * GRAPH_WINDOW;
typedef float GRAPH_RGBCOLOR[3];
/** flags used by graph_mesh(): ****/
#define GRAPH_MESH_BOUNDARY 1
#define GRAPH_MESH_ELEMENT_MARK 2
#define GRAPH_MESH_VERTEX_DOF 4
#define GRAPH_MESH_ELEMENT_INDEX 8
/*--------------------------------------------------------------------------*/
/* very usefull macro definitons */
/*--------------------------------------------------------------------------*/
#define GET_MESH(dim,name,macro_data,init_node_proj) \
check_and_get_mesh((dim),DIM_OF_WORLD,ALBERTA_DEBUG, \
ALBERTA_VERSION,(name),(macro_data), \
(init_node_proj))
#define GET_DOF_VEC(ptr, dof_vec)\
TEST_EXIT((dof_vec) && ((ptr) = (dof_vec)->vec),\
"%s == nil\n", (dof_vec) ? NAME(dof_vec) : #dof_vec)
/*--------------------------------------------------------------------------*/
/* defined in graphXO.c */
/*--------------------------------------------------------------------------*/
extern const GRAPH_RGBCOLOR rgb_black;
extern const GRAPH_RGBCOLOR rgb_white;
extern const GRAPH_RGBCOLOR rgb_red;
extern const GRAPH_RGBCOLOR rgb_green;
extern const GRAPH_RGBCOLOR rgb_blue;
extern const GRAPH_RGBCOLOR rgb_yellow;
extern const GRAPH_RGBCOLOR rgb_magenta;
extern const GRAPH_RGBCOLOR rgb_cyan;
extern const GRAPH_RGBCOLOR rgb_grey50;
extern const GRAPH_RGBCOLOR rgb_albert;
extern const GRAPH_RGBCOLOR rgb_alberta;
/*--------------------------------------------------------------------------*/
/* used in wall_quad_fast.c */
/*--------------------------------------------------------------------------*/
/* We use sort_face_indices() & friends and build the tables for every
* relative permutation possible.
*/
typedef struct wall_quad_fast WALL_QUAD_FAST;
#define CARD_SN_MAX 6 /* this must be (N_LAMBDA-1)! */
struct wall_quad_fast
{
const QUAD *quad;
int n_points;
int n_bas_fcts;
const REAL *w;
REAL_B *lambda[CARD_SN_MAX][N_FACES_MAX];
U_CHAR init_flag;
REAL **phi[CARD_SN_MAX][N_FACES_MAX];
WALL_QUAD_FAST *next;
BAS_FCTS *bas_fcts;
REAL_B **grd_phi[CARD_SN_MAX][N_FACES_MAX];
REAL_BB **D2_phi[CARD_SN_MAX][N_FACES_MAX];
};
/*--------------------------------------------------------------------------*/
/* functions supplied by ALBERTA */
/*--------------------------------------------------------------------------*/
/*** file coarsen.c *****************************************************/
extern U_CHAR coarsen(MESH *mesh);
extern U_CHAR global_coarsen(MESH *mesh, int no);
extern int get_max_level(MESH *mesh);
/*** file dof_admin.c ***************************************************/
/*extern void add_bas_fcts_to_admin(DOF_ADMIN *admin, const BAS_FCTS *bas_fcts);*/
extern const DOF_ADMIN *get_vertex_admin(MESH *mesh);
void add_element_matrix(DOF_MATRIX *, REAL, int, int, const DOF *,
const DOF *, const REAL **, const S_CHAR *);
void add_element_dowb_matrix(DOF_DOWB_MATRIX *, REAL, int, int, const DOF *,
const DOF *, const void **, const S_CHAR *);
void add_element_vec(DOF_REAL_VEC *, REAL, int, const DOF *,
const REAL *, const S_CHAR *);
void add_element_d_vec(DOF_REAL_D_VEC *, REAL, int, const DOF *,
const REAL_D *, const S_CHAR *);
extern void dof_compress(MESH *mesh);
extern void clear_dof_matrix(DOF_MATRIX *matrix);
extern void clear_dof_dowb_matrix(DOF_DOWB_MATRIX *matrix);
extern void print_dof_matrix(const DOF_MATRIX *matrix);
extern void print_dof_dowb_matrix(const DOF_DOWB_MATRIX *matrix);
extern void print_dof_real_vec(const DOF_REAL_VEC *drv);
extern void print_dof_real_d_vec(const DOF_REAL_D_VEC *drdv);
extern void print_dof_ptr_vec(const DOF_PTR_VEC *dpv);
extern void print_dof_int_vec(const DOF_INT_VEC *div);
extern void print_dof_uchar_vec(const DOF_UCHAR_VEC *div);
extern void print_dof_schar_vec(const DOF_SCHAR_VEC *div);
/* BLAS 1 */
extern REAL dof_nrm2(const DOF_REAL_VEC *x);
extern REAL dof_asum(const DOF_REAL_VEC *x);
extern void dof_set(REAL alpha, DOF_REAL_VEC *x);
extern void dof_scal(REAL alpha, DOF_REAL_VEC *x);
extern REAL dof_dot(const DOF_REAL_VEC *x, const DOF_REAL_VEC *y);
extern void dof_copy(const DOF_REAL_VEC *x, DOF_REAL_VEC *y);
extern void dof_axpy(REAL alpha, const DOF_REAL_VEC *x, DOF_REAL_VEC *y);
/* some non BLAS */
extern void dof_xpay(REAL alpha, const DOF_REAL_VEC *x, DOF_REAL_VEC *y);
extern REAL dof_min(const DOF_REAL_VEC *x);
extern REAL dof_max(const DOF_REAL_VEC *x);
/* BLAS 2 */
extern void dof_gemv(MatrixTranspose transpose, REAL alpha,
const DOF_MATRIX *a, const DOF_REAL_VEC *x,
REAL beta, DOF_REAL_VEC *y);
extern void dof_mv(MatrixTranspose transpose, const DOF_MATRIX *a,
const DOF_REAL_VEC *x, DOF_REAL_VEC *y);
/* now the same for REAL_D */
extern void dof_axpy_d(REAL alpha, const DOF_REAL_D_VEC *x, DOF_REAL_D_VEC *y);
extern void dof_copy_d(const DOF_REAL_D_VEC *x, DOF_REAL_D_VEC *y);
extern REAL dof_dot_d(const DOF_REAL_D_VEC *x, const DOF_REAL_D_VEC *y);
extern REAL dof_nrm2_d(const DOF_REAL_D_VEC *x);
extern void dof_scal_d(REAL alpha, DOF_REAL_D_VEC *x);
extern void dof_set_d(REAL alpha, DOF_REAL_D_VEC *x);
extern void dof_xpay_d(REAL alpha, const DOF_REAL_D_VEC *x, DOF_REAL_D_VEC *y);
extern REAL dof_min_d(const DOF_REAL_D_VEC *x);
extern REAL dof_max_d(const DOF_REAL_D_VEC *x);
/*--- BLAS 2 for REAL_D ---*/
extern void dof_mv_d(MatrixTranspose transpose, const DOF_MATRIX *a,
const DOF_REAL_D_VEC *x, DOF_REAL_D_VEC *y);
extern void dof_mv_dowb(MatrixTranspose transpose, const DOF_DOWB_MATRIX *a,
const DOF_REAL_D_VEC *x, DOF_REAL_D_VEC *y);
extern void dof_gemv_d(MatrixTranspose transpose, REAL alpha,
const DOF_MATRIX *a, const DOF_REAL_D_VEC *x,
REAL beta, DOF_REAL_D_VEC *y);
extern void dof_gemv_dowb(MatrixTranspose transpose, REAL alpha,
const DOF_DOWB_MATRIX *a, const DOF_REAL_D_VEC *x,
REAL beta, DOF_REAL_D_VEC *y);
void update_matrix(DOF_MATRIX *dof_matrix, const EL_MATRIX_INFO *minfo);
void update_dowb_matrix(DOF_DOWB_MATRIX *dof_matrix,
const EL_DOWB_MATRIX_INFO *minfo);
void update_real_vec(DOF_REAL_VEC *drv, const EL_VEC_INFO *vec_info);
void update_real_d_vec(DOF_REAL_D_VEC *drdv, const EL_VEC_D_INFO *vecd_info);
/*** file wall_quad_fast.c *********************************************/
extern const WALL_QUAD_FAST *get_wall_quad_fast(const BAS_FCTS *,
const QUAD *,
U_CHAR init_flag);
/*** file macro.c *******************************************************/
extern void macro_test(MACRO_DATA *data, const char *new_filename);
extern MACRO_DATA *read_macro(const char *name);
extern MACRO_DATA *read_macro_bin(const char *name);
extern MACRO_DATA *read_macro_xdr(const char *name);
extern int write_macro(MESH *mesh, const char *name);
extern int write_macro_bin(MESH *mesh, const char *name);
extern int write_macro_xdr(MESH *mesh, const char *name);
extern int write_macro_data(MACRO_DATA *data, const char *name);
extern int write_macro_data_bin(MACRO_DATA *data, const char *name);
extern int write_macro_data_xdr(MACRO_DATA *data, const char *name);
extern MACRO_DATA *alloc_macro_data(int dim, int nv, int ne, FLAGS);
extern void free_macro_data(MACRO_DATA *data);
extern void compute_neigh_fast(MACRO_DATA *data);
extern void dirichlet_boundary(MACRO_DATA *data);
extern MACRO_DATA *mesh2macro_data(MESH *mesh);
extern void macro_data2mesh(MESH *mesh, const MACRO_DATA *data,
NODE_PROJECTION *(*n_proj)(MESH *,MACRO_EL *,int));
/*** file memory.c ******************************************************/
extern MESH *check_and_get_mesh(int dim, int dow, int neigh,
const char *version, const char *name,
const MACRO_DATA *macro_data,
NODE_PROJECTION *(*init_node_proj)
(MESH *, MACRO_EL *, int));
extern void add_traverse_hook(MESH *mesh,
TRAVERSE_HOOK *hook,
HOOK_QUEUE_ENUM queue);
extern void remove_traverse_hook(MESH *mesh,
TRAVERSE_HOOK *hook,
HOOK_QUEUE_ENUM queue);
extern void free_dof_admin(DOF_ADMIN *admin, MESH *mesh);
extern void free_int_dof_vec(DOF_DOF_VEC *vec);
extern void free_dof_int_vec(DOF_INT_VEC *vec);
extern void free_dof_dof_vec(DOF_DOF_VEC *vec);
extern void free_dof_matrix(DOF_MATRIX *mat);
extern void free_dof_dowb_matrix(DOF_DOWB_MATRIX *mat);
extern void free_dof_real_vec(DOF_REAL_VEC *vec);
extern void free_dof_real_d_vec(DOF_REAL_D_VEC *vec);
extern void free_dof_schar_vec(DOF_SCHAR_VEC *vec);
extern void free_dof_uchar_vec(DOF_UCHAR_VEC *vec);
extern void free_dof_ptr_vec(DOF_PTR_VEC *vec);
extern void free_fe_space(FE_SPACE *fe_space);
extern void free_real_d(MESH *mesh, REAL *ptr);
extern void free_matrix_row(const FE_SPACE *, MATRIX_ROW *);
extern void free_dowb_matrix_row(const FE_SPACE *, DOWBM_TYPE type,
DOWB_MATRIX_ROW *);
extern void free_element(EL *el, MESH *mesh);
extern void free_rc_list(MESH *mesh, RC_LIST_EL *list); /* only for 3D */
extern void free_mesh(MESH *);
extern void free_dof(DOF *dof, MESH *mesh, int position,
const int is_coarse_dof);
extern DOF *get_dof(MESH *mesh, int position);
extern const FE_SPACE *get_fe_space(MESH *mesh, const char *name,
const int ndof[N_NODE_TYPES],
const BAS_FCTS *bas_fcts,
const U_CHAR preserve_coarse_dofs);
extern DOF_INT_VEC *get_dof_int_vec(const char *name, const FE_SPACE *);
extern DOF_DOF_VEC *get_int_dof_vec(const char *name, const FE_SPACE *);
extern DOF_DOF_VEC *get_dof_dof_vec(const char *name, const FE_SPACE *);
extern DOF_MATRIX *get_dof_matrix(const char *name,
const FE_SPACE *row_fe_space,
const FE_SPACE *col_fe_space);
extern DOF_DOWB_MATRIX *get_dof_dowb_matrix(const char *name,
const FE_SPACE *row_fe_space,
const FE_SPACE *col_fe_space,
DOWBM_TYPE type);
extern DOF_REAL_VEC *get_dof_real_vec(const char *name, const FE_SPACE *);
extern DOF_REAL_D_VEC *get_dof_real_d_vec(const char *name, const FE_SPACE *);
extern DOF_SCHAR_VEC *get_dof_schar_vec(const char *name, const FE_SPACE *);
extern DOF_UCHAR_VEC *get_dof_uchar_vec(const char *name, const FE_SPACE *);
extern DOF_PTR_VEC *get_dof_ptr_vec(const char *name, const FE_SPACE *);
extern REAL *get_real_d(MESH *mesh);
extern MATRIX_ROW *get_matrix_row(const FE_SPACE *);
extern DOWB_MATRIX_ROW *get_dowb_matrix_row(const FE_SPACE *, DOWBM_TYPE type);
extern EL *get_element(MESH *mesh);
extern RC_LIST_EL *get_rc_list(MESH *mesh); /* only for 3D */
extern size_t init_leaf_data(MESH *mesh, size_t size,
void (*refine_leaf_data)(EL *parent, EL *child[2]),
void (*coarsen_leaf_data)(EL *parent, EL *child[2]));
/*** file submesh.c ******************************************************/
extern MESH *get_submesh(MESH *master, const char *name,
int (*binding_method)(MESH *master, MACRO_EL *el,
int face, void *data),
void *data);
extern void unchain_submesh(MESH *slave);
extern MESH *read_submesh(MESH *master,
const char *slave_filename,
int (*binding_method)(MESH *master, MACRO_EL *el,
int face, void *data),
NODE_PROJECTION *(*)(MESH *, MACRO_EL *, int),
void *data);
extern MESH *read_submesh_xdr(MESH *master,
const char *slave_filename,
int (*binding_method)(MESH *master, MACRO_EL *el,
int face, void *data),
NODE_PROJECTION *(*)(MESH *, MACRO_EL *, int),
void *data);
extern void trace_dof_real_vec(DOF_REAL_VEC *slave_vec,
DOF_REAL_VEC *master_vec);
extern void trace_dof_real_d_vec(DOF_REAL_D_VEC *slave_vec,
DOF_REAL_D_VEC *master_vec);
extern void get_slave_dof_mapping(const FE_SPACE *m_fe_space,
DOF_INT_VEC *s_map);
extern MESH *get_master(MESH *slave);
extern DOF_PTR_VEC *get_master_binding(MESH *slave);
extern DOF_PTR_VEC *get_slave_binding(MESH *slave);
/*** file level.c ******************************************************/
extern REAL level_element_det_2d(const REAL_D coord[]);
extern void level_coord_to_world_2d(const REAL_D coord[],
const REAL_B lambda,
REAL_D world);
extern void level_coord_to_el_coord_2d(const REAL_B v_lambda[],
const REAL_B lambda,
REAL_B el_lambda);
extern REAL level_element_det_3d(const REAL_D coord[]);
extern void level_coord_to_world_3d(const REAL_D coord[],
const REAL_B lambda,
REAL_D world);
extern void level_coord_to_el_coord_3d(const REAL_B v_lambda[],
const REAL_B lambda,
REAL_B el_lambda);
extern int find_level(MESH *mesh, FLAGS fill_flag, const DOF_REAL_VEC *Level,
REAL value,
int (*init)(const EL_INFO *el_info,
REAL v[],
int N, int face, const REAL_B lambda[]),
void (*cal)(const EL_INFO *el_info,
REAL v[],
int i,
int face, const REAL_B lambda[],
const REAL_D coord[]));
extern void set_element_mark(MESH *mesh, FLAGS fill_flag, S_CHAR mark);
/*** file numint.c ******************************************************/
const QUAD *get_quadrature(int dim, int degree);
const QUAD *get_lumping_quadrature(int dim);
void print_quadrature(const QUAD *quad);
REAL integrate_std_simp(const QUAD *quad, REAL (*f)(const REAL *));
const REAL *f_at_qp(const QUAD*, REAL (*f)(const REAL [N_LAMBDA]), REAL*);
int max_quad_points(void);
const REAL_D *f_d_at_qp(const QUAD *quad,
const REAL *(*f)(const REAL[N_LAMBDA]),
REAL_D *vec);
const REAL_D *grd_f_at_qp(const QUAD *,
const REAL *(*)(const REAL [N_LAMBDA]),
REAL_D *);
const REAL_DD *grd_f_d_at_qp(const QUAD *,
const REAL_D *(*)(const REAL [N_LAMBDA]),
REAL_DD *);
const QUAD_FAST *get_quad_fast(const BAS_FCTS *, const QUAD *,
U_CHAR init_flag);
/*** file refine.c ******************************************************/
extern U_CHAR refine(MESH *mesh);
extern U_CHAR global_refine(MESH *mesh, int mark);
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/*--------------------------------------------------------------------------*/
/*** file adapt.c *******************************************************/
extern void adapt_method_stat(MESH *mesh, ADAPT_STAT *adapt);
extern void adapt_method_instat(MESH *mesh, ADAPT_INSTAT *adapt);
extern int marking(MESH *mesh, ADAPT_STAT *adapt);
extern ADAPT_INSTAT *get_adapt_instat(const int dim, const char *name,
const char *prefix,
int info, ADAPT_INSTAT *adapt_instat);
extern ADAPT_STAT *get_adapt_stat(const int dim, const char *name,
const char *prefix,
int info, ADAPT_STAT *adapt_stat);
/*** file assemble.c ****************************************************/
const EL_MATRIX_INFO *fill_matrix_info(const OPERATOR_INFO *,
EL_MATRIX_INFO *);
const Q00_PSI_PHI *get_q00_psi_phi(const BAS_FCTS *psi, const BAS_FCTS *phi,
const QUAD *quad);
const Q01_PSI_PHI *get_q01_psi_phi(const BAS_FCTS *psi, const BAS_FCTS *phi,
const QUAD *quad);
const Q10_PSI_PHI *get_q10_psi_phi(const BAS_FCTS *psi, const BAS_FCTS *phi,
const QUAD *quad);
const Q11_PSI_PHI *get_q11_psi_phi(const BAS_FCTS *psi, const BAS_FCTS *phi,
const QUAD *quad);
/*** file assemble_dowb.c ************************************************/
const EL_DOWB_MATRIX_INFO *
fill_dowb_matrix_info(const DOWB_OPERATOR_INFO *operator_info,
EL_DOWB_MATRIX_INFO *matrix_info);
/*** file bas_fct.c *****************************************************/
extern const BAS_FCTS *get_bas_fcts(const char *name);
extern const BAS_FCTS *get_discontinuous_lagrange(int dim, int degree);
extern const BAS_FCTS *get_lagrange(int dim, int degree);
extern int new_bas_fcts(const BAS_FCTS * bas_fcts);
/*** file check.c *******************************************************/
extern void check_mesh(MESH *mesh);
/*** file dof_admin.c ***************************************************/
extern void free_dof_index(DOF_ADMIN *admin, int dof);
extern int get_dof_index(DOF_ADMIN *admin);
extern void enlarge_dof_lists(DOF_ADMIN *admin, int minsize);
extern void update_dof_matrix(DOF_MATRIX *, REAL, int, const REAL **,
const DOF *, const S_CHAR *);
extern void update_dof_dowb_matrix(DOF_DOWB_MATRIX *, REAL, int,
const void **,
const DOF *, const S_CHAR *);
extern void update_dof_real_vec(DOF_REAL_VEC *, REAL, int, const REAL *,
const DOF *, const S_CHAR *);
extern void update_dof_real_d_vec(DOF_REAL_D_VEC *, REAL, int, const REAL_D *,
const DOF *, const S_CHAR *);
extern void test_dof_matrix(DOF_MATRIX *matrix);
extern void test_dof_dowb_matrix(DOF_DOWB_MATRIX *matrix);
/*** file element.c ***************************************************/
/* These routines are partially available as _?d-versions to avoid looking*/
/* up the dimension. This should be a small efficiency bonus. */
extern int *sorted_wall_indices(const int dim, int face, int permno);
extern int wall_orientation(int dim, const EL *el, int face, int **vecp);
extern int *sort_wall_indices(const int dim,
const EL *el, int face, int *vec);
/* Dimension dependent routines, 0d, just dummies in most cases. */
extern int *sorted_wall_indices_0d(int face, int permno);
extern int wall_orientation_0d(const EL *el, int face, int **vec);
extern int *sort_wall_indices_0d(const EL *el, int face, int *vec);
extern int world_to_coord_0d(const EL_INFO *el_info, const REAL *,
REAL_B);
extern const REAL *coord_to_world_0d(const EL_INFO *, const REAL *, REAL_D);
extern REAL el_det_0d(const EL_INFO *);
extern REAL el_volume_0d(const EL_INFO *el_info);
extern REAL el_grd_lambda_0d(const EL_INFO *el_info,
REAL grd_lam[N_LAMBDA][DIM_OF_WORLD]);
extern REAL get_wall_normal_0d(const EL_INFO *, int , REAL *);
/* Dimension dependent routines, 1d */
extern int *sorted_wall_indices_1d(int face, int permno);
extern int wall_orientation_1d(const EL *el, int face, int **vec);
extern int *sort_wall_indices_1d(const EL *el, int face, int *vec);
extern int world_to_coord_1d(const EL_INFO *el_info, const REAL *,
REAL_B);
extern const REAL *coord_to_world_1d(const EL_INFO *, const REAL *, REAL_D);
extern REAL el_det_1d(const EL_INFO *);
extern REAL el_volume_1d(const EL_INFO *el_info);
extern REAL el_grd_lambda_1d(const EL_INFO *,
REAL grd_lam[N_LAMBDA][DIM_OF_WORLD]);
extern REAL get_wall_normal_1d(const EL_INFO *, int , REAL *);
#if DIM_OF_WORLD > 1
/* Dimension dependent routines, 2d */
extern int *sorted_wall_indices_2d(int face, int permno);
extern int wall_orientation_2d(const EL *el, int face, int **vec);
extern int *sort_wall_indices_2d(const EL *el, int face, int *vec);
extern int world_to_coord_2d(const EL_INFO *el_info, const REAL *,
REAL_B);
extern const REAL *coord_to_world_2d(const EL_INFO *, const REAL *, REAL_D);
extern REAL el_det_2d(const EL_INFO *);
extern REAL el_volume_2d(const EL_INFO *el_info);
extern REAL el_grd_lambda_2d(const EL_INFO *,
REAL grd_lam[N_LAMBDA][DIM_OF_WORLD]);
extern REAL get_wall_normal_2d(const EL_INFO *, int , REAL *);
#if DIM_OF_WORLD > 2
/* Dimension dependent routines, 3d */
extern int *sorted_wall_indices_3d(int face, int permno);
extern int wall_orientation_3d(const EL *el, int face, int **vec);
extern int *sort_wall_indices_3d(const EL *el, int face, int *vec);
extern int world_to_coord_3d(const EL_INFO *el_info, const REAL *,
REAL_B);
extern const REAL *coord_to_world_3d(const EL_INFO *, const REAL *, REAL_D);
extern REAL el_det_3d(const EL_INFO *);
extern REAL el_volume_3d(const EL_INFO *el_info);
extern REAL el_grd_lambda_3d(const EL_INFO *,
REAL grd_lam[N_LAMBDA][DIM_OF_WORLD]);
extern REAL get_wall_normal_3d(const EL_INFO *, int , REAL *);
#endif
#endif
/* Below we provide wrapper functions which distinguish the dimension
* dependent routines by the co-dimension rather than by the dimension
* of the underlying mesh. We start by defining a preprocessor macro
* which spares us some typing and especially typos.
*
* In addition, we provide wrapper functions which decide by looking
* at el_info->mesh->dim what to do.
*
*/
#if DIM_OF_WORLD == 1
# define ALBERTA_CODIM_WRAPPER(ret, name, argtypes, argnames) \
static inline ret name argtypes \
{ \
FUNCNAME(#name); \
\
switch (el_info->mesh->dim) { \
case 0: return name##_0d argnames; \
case 1: return name##_1d argnames; \
default: \
ERROR_EXIT("Illegal dim!\n"); \
return (ret)0; /* just to make the compiler happy */ \
} \
}
# define ALBERTA_CODIM_ALIAS(ret, name, argtypes, argnames) \
static inline ret name##_0cd argtypes { return name##_1d argnames; } \
static inline ret name##_1cd argtypes { return name##_0d argnames; }
/* Variants which start at DOW == 2 and thus are empty here */
# define ALBERTA_CODIM_ALIAS_2(ret, name, argtypes, argnames)
# define ALBERTA_VOID_CODIM_ALIAS_2(name, argtypes, argnames)
#elif DIM_OF_WORLD == 2
# define ALBERTA_CODIM_WRAPPER(ret, name, argtypes, argnames) \
static inline ret name argtypes \
{ \
FUNCNAME(#name); \
\
switch (el_info->mesh->dim) { \
case 0: return name##_0d argnames; \
case 1: return name##_1d argnames; \
case 2: return name##_2d argnames; \
default: \
ERROR_EXIT("Illegal dim!\n"); \
return (ret)0; /* just to make the compiler happy ... */ \
} \
}
# define ALBERTA_CODIM_ALIAS(ret, name, argtypes, argnames) \
static inline ret name##_0cd argtypes { return name##_2d argnames; } \
static inline ret name##_1cd argtypes { return name##_1d argnames; } \
static inline ret name##_2cd argtypes { return name##_0d argnames; }
/* Variants which start at DOW == 2 */
# define ALBERTA_CODIM_ALIAS_2(ret, name, argtypes, argnames) \
static inline ret name##_0cd argtypes { return name##_2d argnames; }
# define ALBERTA_VOID_CODIM_ALIAS_2(name, argtypes, argnames) \
static inline void name##_0cd argtypes { name##_2d argnames; }
#elif DIM_OF_WORLD == 3
# define ALBERTA_CODIM_WRAPPER(ret, name, argtypes, argnames) \
static inline ret name argtypes \
{ \
FUNCNAME(#name); \
\
switch (el_info->mesh->dim) { \
case 0: return name##_0d argnames; \
case 1: return name##_1d argnames; \
case 2: return name##_2d argnames; \
case 3: return name##_3d argnames; \
default: \
ERROR_EXIT("Illegal dim!\n"); \
return (ret)0; /* just to make the compiler happy ... */ \
} \
}
# define ALBERTA_CODIM_ALIAS(ret, name, argtypes, argnames) \
static inline ret name##_0cd argtypes { return name##_3d argnames; } \
static inline ret name##_1cd argtypes { return name##_2d argnames; } \
static inline ret name##_2cd argtypes { return name##_1d argnames; } \
static inline ret name##_3cd argtypes { return name##_0d argnames; }
/* Variants which start at DOW == 2 */
# define ALBERTA_CODIM_ALIAS_2(ret, name, argtypes, argnames) \
static inline ret name##_0cd argtypes { return name##_3d argnames; } \
static inline ret name##_1cd argtypes { return name##_2d argnames; }
# define ALBERTA_VOID_CODIM_ALIAS_2(name, argtypes, argnames) \
static inline void name##_0cd argtypes { name##_3d argnames; } \
static inline void name##_1cd argtypes { name##_2d argnames; }
#else
# error Unsupported DIM_OF_WORLD
#endif
/* ..._Xcd() alias definitions */
ALBERTA_CODIM_ALIAS(int, world_to_coord,
(const EL_INFO *el_info,
const REAL *xy,
REAL_B lambda),
(el_info, xy, lambda))
ALBERTA_CODIM_ALIAS(const REAL *, coord_to_world,
(const EL_INFO *el_info, const REAL *l, REAL_D w),
(el_info, l, w))
ALBERTA_CODIM_ALIAS(REAL, el_volume, (const EL_INFO *el_info), (el_info))
ALBERTA_CODIM_ALIAS(REAL, el_det, (const EL_INFO *el_info), (el_info))
ALBERTA_CODIM_ALIAS(REAL, el_grd_lambda,
(const EL_INFO *el_info,
REAL grd_lam[N_LAMBDA][DIM_OF_WORLD]),
(el_info, grd_lam))
ALBERTA_CODIM_ALIAS(REAL, get_wall_normal,
(const EL_INFO *el_info, int i0, REAL *normal),
(el_info, i0, normal))
ALBERTA_CODIM_ALIAS(int *, sorted_wall_indices,
(int face, int permno),
(face, permno))
ALBERTA_CODIM_ALIAS(int, wall_orientation,
(const EL *el, int face, int **vecp),
(el, face, vecp))
ALBERTA_CODIM_ALIAS(int *, sort_wall_indices,
(const EL *el, int face, int *vec),
(el, face, vec))
/* Wrappers which look at el_info->mesh->dim */
ALBERTA_CODIM_WRAPPER(int, world_to_coord,
(const EL_INFO *el_info, const REAL *x, REAL_B lambda),
(el_info, x, lambda))
ALBERTA_CODIM_WRAPPER(const REAL *, coord_to_world,
(const EL_INFO *el_info, const REAL *lambda, REAL_D x),
(el_info, lambda, x))
ALBERTA_CODIM_WRAPPER(REAL, el_volume, (const EL_INFO *el_info), (el_info))
ALBERTA_CODIM_WRAPPER(REAL, el_det, (const EL_INFO *el_info), (el_info))
ALBERTA_CODIM_WRAPPER(REAL, el_grd_lambda,
(const EL_INFO *el_info,
REAL grd_lam[N_LAMBDA][DIM_OF_WORLD]),
(el_info, grd_lam))
ALBERTA_CODIM_WRAPPER(REAL, get_wall_normal,
(const EL_INFO *el_info, int i0, REAL *normal),
(el_info, i0, normal))
/* Some special wrapper functions, used for some stuff defined in
* level.c
*/
ALBERTA_CODIM_ALIAS_2(REAL, level_element_det, (const REAL_D coord[]), (coord))
ALBERTA_VOID_CODIM_ALIAS_2(level_coord_to_world,
(const REAL_D coord[],
const REAL_B lambda,
REAL_D world),
(coord, lambda, world))
ALBERTA_VOID_CODIM_ALIAS_2(level_coord_to_el_coord,
(const REAL_B v_lambda[],
const REAL_B lambda,
REAL_B el_lambda),
(v_lambda, lambda, el_lambda))
/*** file estimator.c **************************************************/
#define INIT_UH 1
#define INIT_GRD_UH 2
REAL ellipt_est(const DOF_REAL_VEC *uh, ADAPT_STAT *adapt,
REAL *(*rw_est)(EL *), REAL *(*rw_estc)(EL *),
int degree, int norm, REAL C[3], const REAL_DD A,
REAL (*f)(const EL_INFO *,const QUAD *,int,REAL,const REAL_D),
FLAGS f_flag);
REAL heat_est(const DOF_REAL_VEC *uh, ADAPT_INSTAT *adapt,
REAL *(*rw_est)(EL *), REAL *(*rw_estc)(EL *),
int degree, REAL C[4],
const DOF_REAL_VEC *uh_old, const REAL_DD A,
REAL (*f)(const EL_INFO *, const QUAD *, int iq, REAL t,
REAL u, const REAL_D grd_u),
FLAGS f_flag);
/*** file estimator_dowb.c ************************************************/
REAL ellipt_est_d(const DOF_REAL_D_VEC *uh, ADAPT_STAT *adapt,
REAL *(*rw_est)(EL *), REAL *(*rw_estc)(EL *),
int degree, int norm, REAL C[3],
const REAL_DD A[DIM_OF_WORLD][DIM_OF_WORLD],
const REAL *(*f)(const EL_INFO *,
const QUAD *, int qp,
const REAL_D uh, const REAL_DD grd_uh,
REAL_D res),
FLAGS f_flag);
REAL heat_est_d(const DOF_REAL_D_VEC *uh, ADAPT_INSTAT *adapt,
REAL *(*rw_est)(EL *), REAL *(*rw_estc)(EL *),
int degree, REAL C[4],
const DOF_REAL_D_VEC *uh_old,
const REAL_DD A[DIM_OF_WORLD][DIM_OF_WORLD],
const REAL *(*f)(const EL_INFO *, const QUAD *, int iq, REAL t,
const REAL_D u, const REAL_DD grd_u,
REAL_D res),
FLAGS f_flag);
/*** file error.c *******************************************************/
REAL max_err_at_qp(REAL (*)(const REAL_D), const DOF_REAL_VEC *, const QUAD *);
REAL max_err_d_at_qp(const REAL *(*)(const REAL_D, REAL_D),
const DOF_REAL_D_VEC *, const QUAD *);
REAL max_err_at_vert(REAL (*)(const REAL_D), const DOF_REAL_VEC *);
REAL L2_err(REAL (*)(const REAL_D), const DOF_REAL_VEC *, const QUAD *, int,
REAL *(*)(EL *), REAL *);
REAL H1_err(const REAL *(*)(const REAL_D, REAL_D), const DOF_REAL_VEC *,
const QUAD *, int, REAL *(*)(EL *), REAL *);
REAL H1_err_d(const REAL_D *(*grd_u)(const REAL_D, REAL_DD),
const DOF_REAL_D_VEC *uh, const QUAD *quad, int rel_err,
REAL *(*rw_err_el)(EL *), REAL *max_h1_err2);
REAL L2_err_d(const REAL *(*)(const REAL_D, REAL_D), const DOF_REAL_D_VEC *,
const QUAD *, int, REAL *(*)(EL *), REAL *);
/*** file eval.c ********************************************************/
REAL eval_uh(const REAL_B lambda, const REAL *uh_loc, const BAS_FCTS *b);
REAL eval_uh_fast(const REAL *uh_loc, const REAL *phi_val, int n_bfcts);
const REAL *eval_grd_uh(const REAL [N_LAMBDA], const REAL_D [N_LAMBDA],
const REAL *, const BAS_FCTS *, REAL_D);
const REAL *eval_grd_uh_fast(const REAL_D [N_LAMBDA], const REAL *,
const REAL (*)[N_LAMBDA], int , REAL_D);
const REAL_D *eval_D2_uh(const REAL [N_LAMBDA], const REAL_D [N_LAMBDA],
const REAL *, const BAS_FCTS *, REAL_DD);
const REAL_D *eval_D2_uh_fast(const REAL_D [N_LAMBDA], const REAL *,
const REAL (*)[N_LAMBDA][N_LAMBDA],
int, REAL_DD);
const REAL *eval_uh_d(const REAL [N_LAMBDA], const REAL_D *, const BAS_FCTS *,
REAL_D);
const REAL *eval_uh_d_fast(const REAL_D *, const REAL *, int, REAL_D);
const REAL_D *eval_grd_uh_d(const REAL [N_LAMBDA], const REAL_D [N_LAMBDA],
const REAL_D *, const BAS_FCTS *, REAL_DD);
const REAL_D *eval_grd_uh_d_fast(const REAL_D [N_LAMBDA], const REAL_D *,
const REAL (*)[N_LAMBDA], int, REAL_DD);
const REAL_DD *eval_D2_uh_d(const REAL [N_LAMBDA], const REAL_D [N_LAMBDA],
const REAL_D *, const BAS_FCTS *, REAL_DD *);
const REAL_DD *eval_D2_uh_d_fast(const REAL_D [N_LAMBDA], const REAL_D *,
const REAL (*)[N_LAMBDA][N_LAMBDA], int,
REAL_DD *);
const REAL *uh_at_qp(const QUAD_FAST *, const REAL *uh_loc, REAL *vec);
const REAL_D *grd_uh_at_qp(const QUAD_FAST *,
const REAL_D grd_lambda[N_LAMBDA],
const REAL *uh_loc, REAL_D *vec);
const REAL_D *param_grd_uh_at_qp(const QUAD_FAST *fast,
REAL_D Lambda[][N_LAMBDA],
const REAL *uh_loc, REAL_D *vec);
const REAL_DD *D2_uh_at_qp(const QUAD_FAST *, const REAL_D [N_LAMBDA],
const REAL *, REAL_DD *);
const REAL_D *uh_d_at_qp(const QUAD_FAST *fast, const REAL_D *uh_loc,
REAL_D *vec);
const REAL_DD *grd_uh_d_at_qp(const QUAD_FAST *fast,
const REAL_D grd_lambda[N_LAMBDA],
const REAL_D *uh_loc, REAL_DD *vec);
const REAL_DD *param_grd_uh_d_at_qp(const QUAD_FAST *fast,
REAL_D Lambda[][N_LAMBDA],
const REAL_D *uh_loc, REAL_DD *vec);
const REAL_DD (*D2_uh_d_at_qp(const QUAD_FAST *, const REAL_D [N_LAMBDA],
const REAL_D *,
REAL_DD (*)[DIM_OF_WORLD]))[DIM_OF_WORLD];
REAL eval_div_uh_d(const REAL lambda[N_LAMBDA],
const REAL_D grd_lambda[N_LAMBDA],
const REAL_D *uh_loc, const BAS_FCTS *b);
REAL eval_div_uh_d_fast(const REAL_D grd_lambda[N_LAMBDA],
const REAL_D *uh_loc,
const REAL (*grd_phi)[N_LAMBDA], int n_bas_fcts);
const REAL *div_uh_d_at_qp(const QUAD_FAST *fast,
const REAL_D Lambda[N_LAMBDA],
const REAL_D *uh_loc, REAL *vec);
const REAL *param_div_uh_d_at_qp(const QUAD_FAST *fast,
const REAL_D Lambda[][N_LAMBDA],
const REAL_D *uh_loc, REAL *vec);
const REAL_DD *param_D2_uh_at_qp(const QUAD_FAST *fast,
const REAL_D Lambda[][N_LAMBDA],
const REAL *uh_loc, REAL_DD *vec);
const REAL_DD (*param_D2_uh_d_at_qp(const QUAD_FAST *fast,
const REAL_D grd_lam[][N_LAMBDA],
const REAL_D *uh_loc,
REAL_DD (*vec)[DIM_OF_WORLD]))[DIM_OF_WORLD];
REAL H1_norm_uh(const QUAD *quad, const DOF_REAL_VEC *u_h);
REAL L2_norm_uh(const QUAD *quad, const DOF_REAL_VEC *u_h);
REAL H1_norm_uh_d(const QUAD *quad, const DOF_REAL_D_VEC *u_h);
REAL L2_norm_uh_d(const QUAD *quad, const DOF_REAL_D_VEC *u_h);
extern void interpol(REAL (*fct)(const REAL_D), DOF_REAL_VEC *);
extern void interpol_d(const REAL *(*)(const REAL_D, REAL_D),
DOF_REAL_D_VEC *);
/*** file graphXO.c ******************************************************/
GRAPH_WINDOW graph_open_window(const char *title, const char *geometry,
REAL *world, MESH *mesh);
void graph_close_window(GRAPH_WINDOW win);
void graph_clear_window(GRAPH_WINDOW win, const GRAPH_RGBCOLOR c);
void graph_mesh(GRAPH_WINDOW win, MESH *mesh, const GRAPH_RGBCOLOR c,
FLAGS flag);
void graph_drv(GRAPH_WINDOW win, const DOF_REAL_VEC *uh,
REAL min, REAL max, int refine);
void graph_drv_d(GRAPH_WINDOW win, const DOF_REAL_D_VEC *uh,
REAL min, REAL max, int refine);
void graph_el_est(GRAPH_WINDOW win, MESH *mesh, REAL (*get_el_est)(EL *el),
REAL min, REAL max);
void graph_point(GRAPH_WINDOW, const REAL [2], const GRAPH_RGBCOLOR, float);
void graph_points(GRAPH_WINDOW win, int np, REAL (*p)[2],
const GRAPH_RGBCOLOR c, float ps);
void graph_line(GRAPH_WINDOW, const REAL [2], const REAL [2],
const GRAPH_RGBCOLOR, float);
void graph_fvalues_2d(GRAPH_WINDOW win, MESH *mesh,
REAL(*fct)(const EL_INFO *el_info, const REAL *lambda),
FLAGS flags, REAL min, REAL max, int refine);
void graph_level_2d(GRAPH_WINDOW win, const DOF_REAL_VEC *v, REAL level,
const GRAPH_RGBCOLOR c, int refine);
void graph_levels_2d(GRAPH_WINDOW win, const DOF_REAL_VEC *v,
int n, REAL const *levels, const GRAPH_RGBCOLOR *color,
int refine);
void graph_level_d_2d(GRAPH_WINDOW, const DOF_REAL_D_VEC *,
REAL, const GRAPH_RGBCOLOR, int);
void graph_levels_d_2d(GRAPH_WINDOW, const DOF_REAL_D_VEC *,
int, const REAL *, const GRAPH_RGBCOLOR *, int);
/* multigrid level display routines: */
void graph_mesh_mg_2d(GRAPH_WINDOW win, MESH *mesh, const GRAPH_RGBCOLOR c,
FLAGS flags, int mg_level);
void graph_values_mg_2d(GRAPH_WINDOW win, const DOF_REAL_VEC *v,
REAL min, REAL max, int refine,
int mg_level, const FE_SPACE *fe_space,
const int *sort_dof_invers);
/*** file l2scp.c *******************************************************/
void dirichlet_bound(REAL (*)(const REAL_D), DOF_REAL_VEC *, DOF_REAL_VEC *,
DOF_SCHAR_VEC *);
void L2scp_fct_bas(REAL (*f)(const REAL_D), const QUAD *, DOF_REAL_VEC *fh);
void dirichlet_bound_d(const REAL *(*)(const REAL_D, REAL_D),
DOF_REAL_D_VEC *, DOF_REAL_D_VEC *, DOF_SCHAR_VEC *);
void L2scp_fct_bas_d(const REAL *(*f)(const REAL_D, REAL_D), const QUAD *,
DOF_REAL_D_VEC *fhd);
/*--- file oem_solve_s.c -------------------------------------------------*/
int oem_solve_s(const DOF_MATRIX *A, const DOF_REAL_VEC *f,
DOF_REAL_VEC *u, OEM_SOLVER, REAL, int, int, int, int);
int mat_vec_s(void *ud, int dim, const REAL *x, REAL *y);
void *init_mat_vec_s(MatrixTranspose,
const DOF_MATRIX *, const DOF_SCHAR_VEC *);
void exit_mat_vec_s(void *);
/*--- file oem_solve_d.c -------------------------------------------------*/
int oem_solve_d(const DOF_MATRIX *A, const DOF_REAL_D_VEC *f,
DOF_REAL_D_VEC *u, OEM_SOLVER, REAL, int, int, int, int);
int mat_vec_d(void *ud, int dim, const REAL *x, REAL *y);
void *init_mat_vec_d(MatrixTranspose, const DOF_MATRIX *,
const DOF_SCHAR_VEC *);
void exit_mat_vec_d(void *);
/*--- file oem_solve_dowb.c ----------------------------------------------*/
int oem_solve_dowb(const DOF_DOWB_MATRIX *A, const DOF_REAL_D_VEC *f,
DOF_REAL_D_VEC *u, OEM_SOLVER, REAL, int, int, int, int);
int mat_vec_dowb(void *ud, int dim, const REAL *x, REAL *y);
void *init_mat_vec_dowb(MatrixTranspose, const DOF_DOWB_MATRIX *,
const DOF_SCHAR_VEC *);
void exit_mat_vec_dowb(void *);
/*--- file parametric.c --------------------------------------------------*/
void use_lagrange_parametric(MESH *mesh, int degree,
NODE_PROJECTION *n_proj, int strategy);
DOF_REAL_D_VEC *get_lagrange_coords(MESH *mesh);
DOF_UCHAR_VEC *get_lagrange_coord_flags(MESH *mesh);
/*-- file sor.c ----------------------------------------------------------*/
int sor_dowb(DOF_DOWB_MATRIX *a, const DOF_REAL_D_VEC *f,
const DOF_SCHAR_VEC *b,
DOF_REAL_D_VEC *u, REAL omega, REAL tol, int max_iter, int info);
int sor_d(DOF_MATRIX *a, const DOF_REAL_D_VEC *f, const DOF_SCHAR_VEC *b,
DOF_REAL_D_VEC *u, REAL omega, REAL tol, int max_iter, int info);
int sor_s(DOF_MATRIX *a, const DOF_REAL_VEC *f, const DOF_SCHAR_VEC *b,
DOF_REAL_VEC *u, REAL omega, REAL tol, int max_iter, int info);
/*** file ssor.c **********************************************************/
int ssor_dowb(DOF_DOWB_MATRIX *a,
const DOF_REAL_D_VEC *f, const DOF_SCHAR_VEC *b,
DOF_REAL_D_VEC *u, REAL omega, REAL tol, int max_iter, int info);
int ssor_d(DOF_MATRIX *a, const DOF_REAL_D_VEC *f, const DOF_SCHAR_VEC *b,
DOF_REAL_D_VEC *u, REAL omega, REAL tol, int max_iter, int info);
int ssor_s(DOF_MATRIX *a, const DOF_REAL_VEC *f, const DOF_SCHAR_VEC *b,
DOF_REAL_VEC *u, REAL omega, REAL tol, int max_iter, int info);
/*** file traverse_r.c ***************************************************/
extern void mesh_traverse(MESH *mesh, int level, FLAGS fill_flag,
void (*el_fct)(const EL_INFO *, void *data),
void *data);
extern void fill_macro_info(MESH *mesh, const MACRO_EL *mel, EL_INFO *elinfo);
extern void fill_elinfo(int ichild, const EL_INFO *parent_info, EL_INFO *elinfo);
/*** file traverse_nr.c ***************************************************/
extern TRAVERSE_STACK *get_traverse_stack(void);
extern void free_traverse_stack(TRAVERSE_STACK *stack);
extern const EL_INFO *traverse_first(TRAVERSE_STACK *stack,
MESH *mesh, int level, FLAGS fill_flag);
extern const EL_INFO *traverse_next(TRAVERSE_STACK *stack, const EL_INFO *);
extern const EL_INFO *traverse_neighbour(TRAVERSE_STACK *stack, const EL_INFO *,
int neighbour);
extern const EL_INFO *traverse_parent(const TRAVERSE_STACK *stack,
const EL_INFO *child);
extern const EL_INFO *subtree_traverse_first(TRAVERSE_STACK *stack,
const EL_INFO *local_root,
int level, FLAGS fill_flag);
#define TRAVERSE_START(mesh, stack, level, fill_flag, eli) \
if (((eli) = traverse_first(stack, mesh, level, fill_flag))) do
#define TRAVERSE_STOP(stack, eli) \
while (((eli) = traverse_next(stack, eli)))
/*--- file trav_xy.c -----------------------------------------------------*/
extern int find_el_at_pt(MESH *mesh, const REAL_D xy,
EL_INFO **el_info_p, FLAGS flag, REAL bary[N_LAMBDA],
const MACRO_EL *start_mel,
const REAL_D xy0, REAL *sp);
/*** file read_mesh.c *********************************************/
MESH *read_mesh(const char *fn, REAL *timeptr,
NODE_PROJECTION *(*n_proj)(MESH *, MACRO_EL *, int));
DOF_REAL_VEC *read_dof_real_vec(const char *, MESH *, FE_SPACE *);
DOF_REAL_D_VEC *read_dof_real_d_vec(const char *, MESH *, FE_SPACE *);
DOF_INT_VEC *read_dof_int_vec(const char *, MESH *, FE_SPACE *);
DOF_SCHAR_VEC *read_dof_schar_vec(const char *, MESH *, FE_SPACE *);
DOF_UCHAR_VEC *read_dof_uchar_vec(const char *, MESH *, FE_SPACE *);
MESH *read_mesh_xdr(const char *, REAL *,
NODE_PROJECTION *(*)(MESH *, MACRO_EL *, int));
DOF_REAL_VEC *read_dof_real_vec_xdr(const char *, MESH *, FE_SPACE *);
DOF_REAL_D_VEC *read_dof_real_d_vec_xdr(const char *, MESH *, FE_SPACE *);
DOF_INT_VEC *read_dof_int_vec_xdr(const char *, MESH *, FE_SPACE *);
DOF_SCHAR_VEC *read_dof_schar_vec_xdr(const char *, MESH *, FE_SPACE *);
DOF_UCHAR_VEC *read_dof_uchar_vec_xdr(const char *, MESH *, FE_SPACE *);
/*** file write_mesh.c ********************************************/
int write_mesh(MESH *, const char *, REAL);
int write_dof_real_vec(const DOF_REAL_VEC *, const char *);
int write_dof_real_d_vec(const DOF_REAL_D_VEC *, const char *);
int write_dof_int_vec(const DOF_INT_VEC *, const char *);
int write_dof_schar_vec(const DOF_SCHAR_VEC *, const char *);
int write_dof_uchar_vec(const DOF_UCHAR_VEC *, const char *);
int write_mesh_xdr(MESH *, const char *, REAL);
int write_dof_real_vec_xdr(const DOF_REAL_VEC *, const char *);
int write_dof_real_d_vec_xdr(const DOF_REAL_D_VEC *, const char *);
int write_dof_int_vec_xdr(const DOF_INT_VEC *, const char *);
int write_dof_schar_vec_xdr(const DOF_SCHAR_VEC *, const char *);
int write_dof_uchar_vec_xdr(const DOF_UCHAR_VEC *, const char *);
int write_dof_matrix_pbm(const DOF_MATRIX *matrix,
const char *filename);
/*** file write_mesh_gmv.c ********************************************/
int write_mesh_gmv(MESH *mesh, const char *file_name, int write_ascii,
int use_refined_grid,
const int n_drv,
DOF_REAL_VEC **drv_ptr,
const int n_drdv,
DOF_REAL_D_VEC **drdv_ptr,
DOF_REAL_D_VEC *velocity,
REAL sim_time);
int write_dof_vec_gmv(MESH *mesh,
const char *mesh_file,
const char *file_name, int write_ascii,
int use_refined_grid,
const int n_drv,
DOF_REAL_VEC **drv_ptr,
const int n_drdv,
DOF_REAL_D_VEC **drdv_ptr,
DOF_REAL_D_VEC *velocity,
REAL sim_time);
/*-- file write_mesh_ps.c ------------------------------------------------*/
void write_mesh_ps(MESH *mesh, const char *filename, const char *title,
const REAL x[2], const REAL y[2], int keepaspect,
int draw_bound);
/*--------------------------------------------------------------------------*/
/* interface for Lagrange elements for the gltools */
/* file gltools.c */
/*--------------------------------------------------------------------------*/
typedef void* GLTOOLS_WINDOW;
GLTOOLS_WINDOW open_gltools_window(const char *, const char *, const REAL *,
MESH *, int);
void close_gltools_window(GLTOOLS_WINDOW);
extern int gltools_get_next_dialog(void);
extern void gltools_set_next_dialog(int dialog);
void gltools_est(GLTOOLS_WINDOW, MESH *, REAL (*)(EL *), REAL, REAL);
void gltools_disp_mesh(GLTOOLS_WINDOW, MESH *, int, const DOF_REAL_D_VEC *);
void gltools_mesh(GLTOOLS_WINDOW win, MESH *, int);
void gltools_disp_drv(GLTOOLS_WINDOW, const DOF_REAL_VEC *,
REAL, REAL, const DOF_REAL_D_VEC *);
void gltools_drv(GLTOOLS_WINDOW, const DOF_REAL_VEC *, REAL, REAL);
void gltools_disp_drv_d(GLTOOLS_WINDOW, const DOF_REAL_D_VEC *,
REAL, REAL, const DOF_REAL_D_VEC *);
void gltools_drv_d(GLTOOLS_WINDOW, const DOF_REAL_D_VEC *, REAL, REAL);
void gltools_disp_vec(GLTOOLS_WINDOW, const DOF_REAL_D_VEC *,
REAL, REAL, const DOF_REAL_D_VEC *);
void gltools_vec(GLTOOLS_WINDOW, const DOF_REAL_D_VEC *, REAL, REAL);
/*--------------------------------------------------------------------------*/
/* interface for Lagrange elements for the dxtools */
/* file dxtools.c */
/*--------------------------------------------------------------------------*/
typedef struct dxtools_window DXTOOLS_WINDOW;
extern DXTOOLS_WINDOW *open_dxtools_window(const char *title,
const char *geometry);
extern void close_dxtools_window(DXTOOLS_WINDOW *win);
extern void dxtools_mesh(DXTOOLS_WINDOW *win, MESH *mesh);
extern void dxtools_drv(DXTOOLS_WINDOW *win, const DOF_REAL_VEC *u);
extern void dxtools_drdv(DXTOOLS_WINDOW *win, const DOF_REAL_D_VEC *u);
#ifdef __cplusplus
}
#endif
#endif /* !_ALBERTA_H_ */
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