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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: bas_fct.c */
/* */
/* description: collecting information of all Lagrange elements */
/* */
/*--------------------------------------------------------------------------*/
/* */
/* 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 */
/* */
/* http://www.mathematik.uni-freiburg.de/IAM/ALBERTA */
/* */
/* (c) by A. Schmidt and K.G. Siebert (1996-2003) */
/* */
/*--------------------------------------------------------------------------*/
#include "alberta.h"
/* Macro for a general scalar interpolation function */
#define GENERATE_INTERPOL(PREFIX,DEGREE,DIM,N_BAS_FCT) \
static const REAL *PREFIX##interpol##DEGREE##_##DIM##d( \
const EL_INFO *el_info, \
int no, const int *b_no, \
REAL (*f)(const REAL_D), \
REAL (*f_loc)(const EL_INFO *, \
const REAL [N_LAMBDA]), \
REAL *vec) \
{ \
FUNCNAME(#PREFIX "interpol" #DEGREE "_" #DIM "d"); \
static REAL my_vec[N_BAS_FCT]; \
REAL *rvec = vec ? vec : my_vec; \
int i; \
const PARAMETRIC *parametric = el_info->mesh->parametric; \
\
DEBUG_TEST_EXIT(!b_no || (no > 0 && no <= N_BAS_FCT), \
"not for %d points\n", no); \
\
if (f_loc) \
for (i = 0; i < N_BAS_FCT; i++) \
rvec[i] = f_loc(el_info, PREFIX##bary##DEGREE##_##DIM##d[i]); \
else { \
if (parametric) { \
REAL_D world[N_BAS_FCT]; \
\
parametric->init_element(el_info, parametric); \
parametric->coord_to_world(el_info, nil, N_BAS_FCT, \
PREFIX##bary##DEGREE##_##DIM##d, world); \
\
for (i = 0; i < N_BAS_FCT; i++) \
rvec[i] = f(world[i]); \
} \
else { \
REAL_D world; \
\
DEBUG_TEST_FLAG(FILL_COORDS, el_info); \
\
for (i = 0; i < N_BAS_FCT; i++) { \
coord_to_world_##DIM##d(el_info, PREFIX##bary##DEGREE##_##DIM##d[i], \
world); \
rvec[i] = f(world); \
} \
} \
} \
\
if(b_no) { /* Perform resorting if only certain indices are required. */ \
REAL tmp[N_BAS_FCT]; \
\
memcpy(tmp, rvec, N_BAS_FCT * sizeof(REAL)); \
\
for(i = 0; i < no; i++) \
rvec[i] = tmp[b_no[i]]; \
} \
\
return(rvec); \
}
/* Macro for a general vector interpolation function */
#define GENERATE_INTERPOL_D(PREFIX,DEGREE,DIM,N_BAS_FCT) \
static const REAL_D *PREFIX##interpol_d##DEGREE##_##DIM##d( \
const EL_INFO *el_info, \
int no, const int *b_no, \
const REAL *(*f)(const REAL_D, REAL_D), \
const REAL *(*f_loc)(const EL_INFO *, \
const REAL [N_LAMBDA], \
REAL_D), \
REAL_D *vec) \
{ \
FUNCNAME("interpol_d" #DEGREE "_" #DIM "d"); \
static REAL_D my_vec[N_BAS_FCT]; \
REAL_D *rvec = vec ? vec : my_vec; \
int i; \
const PARAMETRIC *parametric = el_info->mesh->parametric; \
\
DEBUG_TEST_EXIT(!b_no || (no > 0 && no <= N_BAS_FCT), \
"not for %d points\n", no); \
\
if (f_loc) \
for (i = 0; i < N_BAS_FCT; i++) \
f_loc(el_info, PREFIX##bary##DEGREE##_##DIM##d[i], rvec[i]); \
else { \
if (parametric) { \
REAL_D world[N_BAS_FCT]; \
\
parametric->init_element(el_info, parametric); \
parametric->coord_to_world(el_info, nil, N_BAS_FCT, \
PREFIX##bary##DEGREE##_##DIM##d, world); \
\
for (i = 0; i < N_BAS_FCT; i++) \
f(world[i], rvec[i]); \
} \
else { \
REAL_D world; \
\
DEBUG_TEST_FLAG(FILL_COORDS, el_info); \
\
for (i = 0; i < N_BAS_FCT; i++) { \
coord_to_world(el_info, PREFIX##bary##DEGREE##_##DIM##d[i], world); \
f(world, rvec[i]); \
} \
} \
} \
\
if(b_no) { /* Perform resorting if only certain indices are required. */ \
REAL_D tmp[N_BAS_FCT]; \
\
memcpy(tmp, rvec, N_BAS_FCT * sizeof(REAL_D)); \
\
for(i = 0; i < no; i++) \
COPY_DOW(tmp[b_no[i]], rvec[i]); \
} \
\
return (const REAL_D *) rvec; \
}
#include "bas_fct_0d.c"
#include "bas_fct_1d.c"
#if DIM_OF_WORLD > 1
#include "bas_fct_2d.c"
#if DIM_OF_WORLD > 2
#include "bas_fct_3d.c"
#endif
#endif
#undef GENERATE_INTERPOL
#undef GENERATE_INTERPOL_D
struct all_bas_fcts
{
const BAS_FCTS *bas_fcts;
struct all_bas_fcts *next;
};
/*--------------------------------------------------------------------------*/
/* linked list of all used basis functions: discontinuous Lagrange */
/* basisfunctions are always members of the list */
/*--------------------------------------------------------------------------*/
#define MAX_DEG 2
static struct all_bas_fcts all_disc_lagrange[DIM_OF_WORLD * (MAX_DEG + 1)] =
{{&disc_lagrange0_1d, all_disc_lagrange+1},
{&disc_lagrange1_1d, all_disc_lagrange+2},
{&disc_lagrange2_1d,
#if DIM_OF_WORLD > 1
all_disc_lagrange+3},
{&disc_lagrange0_2d, all_disc_lagrange+4},
{&disc_lagrange1_2d, all_disc_lagrange+5},
{&disc_lagrange2_2d,
#if DIM_OF_WORLD > 2
all_disc_lagrange+6},
{&disc_lagrange0_3d, all_disc_lagrange+7},
{&disc_lagrange1_3d, all_disc_lagrange+8},
{&disc_lagrange2_3d,
#endif
#endif
nil}};
const BAS_FCTS *get_discontinuous_lagrange(int dim, int degree)
{
FUNCNAME("get_discontinuous_lagrange");
if(dim == 0 || dim > DIM_OF_WORLD) {
ERROR("Discontinuous Lagrange basis functions of dimension %d are not available for DIM_OF_WORLD == %d!\n", dim, DIM_OF_WORLD);
return(nil);
}
if (degree < 0 || degree > MAX_DEG)
{
ERROR("Discontinuous Lagrange basis functions of degree %d are not available\n", degree);
return(nil);
}
return(all_disc_lagrange[(dim - 1) * 3 + degree].bas_fcts);
}
#undef MAX_DEG
/*--------------------------------------------------------------------------*/
/* linked list of all used basis functions: Lagrange basisfunctions are */
/* always members of the list */
/*--------------------------------------------------------------------------*/
#define MAX_DEG 4
static struct all_bas_fcts all_lagrange[1+DIM_OF_WORLD * MAX_DEG] =
{{&lagrange_0d, all_lagrange+1},
{&lagrange1_1d, all_lagrange+2},
{&lagrange2_1d, all_lagrange+3},
{&lagrange3_1d, all_lagrange+4},
{&lagrange4_1d,
#if DIM_OF_WORLD > 1
all_lagrange+5},
{&lagrange1_2d, all_lagrange+6},
{&lagrange2_2d, all_lagrange+7},
{&lagrange3_2d, all_lagrange+8},
{&lagrange4_2d,
#if DIM_OF_WORLD > 2
all_lagrange+9},
{&lagrange1_3d, all_lagrange+10},
{&lagrange2_3d, all_lagrange+11},
{&lagrange3_3d, all_lagrange+12},
{&lagrange4_3d,
#endif
#endif
all_disc_lagrange}};
static struct all_bas_fcts *first_bas_fcts = all_lagrange;
const BAS_FCTS *get_lagrange(int dim, int degree)
{
FUNCNAME("get_lagrange");
if(dim > DIM_OF_WORLD) {
ERROR("Lagrange basis functions of dimension %d are not available for DIM_OF_WORLD == %d!\n", dim, DIM_OF_WORLD);
return(nil);
}
if (degree < 1 || degree > MAX_DEG)
{
ERROR("no lagrangian basis functions of degree %d\n", degree);
return(nil);
}
if(dim == 0)
degree = 4;
return(all_lagrange[(dim - 1) * 4 + degree].bas_fcts);
}
/*--------------------------------------------------------------------------*/
/* add a set of new basis functions to the list; return true, if possible */
/* else false */
/*--------------------------------------------------------------------------*/
int new_bas_fcts(const BAS_FCTS * bas_fcts)
{
FUNCNAME("new_bas_fcts");
struct all_bas_fcts *new_first;
if (!bas_fcts)
{
ERROR("no basis functions specified; bas_fcts pointer to nil\n");
return(0);
}
TEST_EXIT(bas_fcts->name,
"new basis functions must have name; bas_fcts->name pointer to nil\n");
TEST_EXIT(strlen(bas_fcts->name),
"new basis functions must have a non empty name\n");
TEST_EXIT(bas_fcts->dim > 0 && bas_fcts->dim <= 3,
"new basis functions must have a dimension between 1 and 3\n");
TEST_EXIT(bas_fcts->degree >= 0,
"new basis functions must have a positive quadrature degree\n");
TEST_EXIT(bas_fcts->phi,
"new basis functions: phi not set\n");
TEST_EXIT(bas_fcts->grd_phi,
"new basis functions: grd_phi not set\n");
TEST(bas_fcts->D2_phi,
"Warning: new basis functions: D2_phi not set\n");
TEST_EXIT(bas_fcts->get_dof_indices,
"new basis functions: get_dof_indices not set\n");
TEST_EXIT(bas_fcts->get_bound,
"new basis functions: get_bound not set\n");
TEST(bas_fcts->interpol,
"Warning: new basis functions: interpol not set\n");
TEST(bas_fcts->interpol_d,
"Warning: new basis functions: interpol_d not set\n");
for (new_first = first_bas_fcts; new_first; new_first = new_first->next)
{
if (!strcmp(bas_fcts->name, new_first->bas_fcts->name))
{
ERROR("basis functions with this name already exist\n");
TEST_EXIT(bas_fcts == new_first->bas_fcts,
"pointer to new and existing basis functions differ %p!=%p\n",
bas_fcts, new_first->bas_fcts);
ERROR("pointer to new and existing basis functions are the same\n");
ERROR("ignoring new basis functions; taking old ones\n");
return(0);
}
}
new_first = MEM_ALLOC(1, struct all_bas_fcts);
new_first->bas_fcts = bas_fcts;
new_first->next = first_bas_fcts;
first_bas_fcts = new_first;
return(1);
}
/*--------------------------------------------------------------------------*/
/* get a pointer to a set of basis functions from the list; identifier is */
/* the name of the basis functions; */
/* returns a pointer to the BAS_FCTS structure if a corresponding set was */
/* found in the list, else pointer to nil */
/*--------------------------------------------------------------------------*/
const BAS_FCTS *get_bas_fcts(const char *name)
{
FUNCNAME("get_bas_fcts");
struct all_bas_fcts *bas_fcts;
if (!name)
{
ERROR("no name specified; can not return pointer to basis functions\n");
return(nil);
}
if (!strlen(name))
{
ERROR("empty name; can not return pointer to basis functions\n");
return(nil);
}
for (bas_fcts = first_bas_fcts; bas_fcts; bas_fcts = bas_fcts->next)
if (!strcmp(bas_fcts->bas_fcts->name, name))
return(bas_fcts->bas_fcts);
ERROR("basis functions with name %s not found in list of all functions\n");
return(nil);
}
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