File size: 17,026 Bytes
10f2621 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 | /**
* @defgroup Re Re class
* @brief A reference simplex element object.
*/
/**
* @file re.h
* @ingroup Re
* @brief Class Re: a reference simplex element object.
* @author Michael Holst
* @note None
* @version $Id: re.h,v 1.21 2010/08/12 05:18:23 fetk Exp $
*
* @attention
* @verbatim
*
* MC = < Manifold Code >
* Copyright (C) 1994-- Michael Holst
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
* @endverbatim
*/
#ifndef _RE_H_
#define _RE_H_
#include <mc/mc_base.h>
#include <mc/bam.h>
/**
* @ingroup Re
* @brief Class Re: Parameters and datatypes. Class Re: Definition
* @author Michael Holst
*/
struct sRe {
/** @brief spatial dimension of the simplex */
int dim;
/** @brief number of i-simplices in element (v/e/f/s) */
int dimIS[4];
/** @brief degrees of freedom per i-simplex (v/e/f/s) */
int numDF[4];
/** @brief order = requested quadrature order <= VMAXO */
int qorder;
/** @brief numP = number of polys in volume element
= numV * numVDF + numE * numEDF + numF * numFDF + numS * numSDF
<= VMAXP
*/
int numP;
/** @brief numPS = number of polys in surface elem
= numV * numVDF + numE * numEDF + numF * numFDF <= VMXP
*/
int numPS;
/** @brief i-simplex offsets in global numbering */
int offIS[4];
/** @brief coefficients of the polynomials */
double c[VMAXP][VMAXP];
/** @brief coefficients of the x-partial of polys */
double cx[VMAXP][VMAXP];
/** @brief coefficients of the y-partial of polys */
double cy[VMAXP][VMAXP];
/** @brief coefficients of the y-partial of polys */
double cz[VMAXP][VMAXP];
/** @brief number of volume quad pts */
int q;
/** @brief number of surface quad pts */
int qs;
/** @brief number of volume quad pts -- high accuracy */
int qhi;
/** @brief number of surface quad pts -- high accuracy */
int qshi;
/** @brief volume quadrature point data */
quadInfo v[VMAXQ];
/** @brief surface quadrature point data */
quadInfo s[VMAXQ][4];
/** @brief permutations of surface quadrature points
describes how s. quad. pts transform with
permutations of face vertices (0,1,2)
*/
int spmt[6][VMAXQ];
/** @brief volume quad pt data -- high accuracy */
quadInfo vhi[VMAXQ];
/** @brief surface quad pt data -- high accuracy */
quadInfo shi[VMAXQ][4];
/** @brief permutations of hi-acc surface quad.points */
int spmthi[6][VMAXQ];
/** @brief This is a function-pointer for a user-defined function */
int (*simplexBasisInit)(int key, int dim, int comp,
int *ndof, int dof[]);
/** @brief This is a function-pointer for a user-defined function */
void (*simplexBasisForm)(int key, int dim, int comp,
int pdkey, double xq[], double basis[]);
};
/**
* @ingroup Re
* @brief Declaration of the Re class as the Re structure
* @author Michael Holst
* @return None
*/
typedef struct sRe Re;
/*
* ***************************************************************************
* Class Re: Inlineable methods (re.c)
* ***************************************************************************
*/
#if !defined(VINLINE_APRX)
#else /* if defined(VINLINE_APRX) */
#endif /* if !defined(VINLINE_APRX) */
/**
* @brief Class Re: Non-inlineable methods (Re.c)
* @ingroup Re
* @author Michael Holst
*/
VEXTERNC Re* Re_ctor(int key, int dim,
int (*simplexBasisInit)(int key, int dim, int comp,
int *ndof, int dof[]),
void (*simplexBasisForm)(int key, int dim, int comp,
int pdkey, double xq[], double basis[]),int qorder);
/**
* @ingroup Re
* @brief Class Re: Non-inlineable methods (Re.c)
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return None
* @param thee Pointer to a Re allocated memory location
*/
VEXTERNC void Re_dtor(Re **thee);
/**
* @ingroup Re
* @brief the dimension of Re class
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return the dimension of Re class
* @param thee Pointer to a Re allocated memory location
*/
VEXTERNC int Re_dim(Re *thee);
/**
* @ingroup Re
* @brief Vertex number of i-simplices in element
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return Vertex number of i-simplices in element
* @param thee Pointer to a Re allocated memory location
*/
VEXTERNC int Re_dimV(Re *thee);
/**
* @ingroup Re
* @brief Edge number of i-simplices in element
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return Edge number of i-simplices in element
* @param thee Pointer to a Re allocated memory location
*/
VEXTERNC int Re_dimE(Re *thee);
/**
* @ingroup Re
* @brief Face number of i-simplices in element
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return Face number of i-simplices in element
* @param thee Pointer to a Re allocated memory location
*/
VEXTERNC int Re_dimF(Re *thee);
/**
* @ingroup Re
* @brief Simplex number of i-simplices in element
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return Simplex number of i-simplices in element
* @param thee Pointer to a Re allocated memory location
*/
VEXTERNC int Re_dimS(Re *thee);
/**
* @ingroup Re
* @brief Vertex degrees of freedom per i-simplex
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return Vertex degrees of freedom per i-simplex
* @param thee Pointer to a Re allocated memory location
*/
VEXTERNC int Re_numVDF(Re *thee);
/**
* @ingroup Re
* @brief Edge degrees of freedom per i-simplex
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return Edge degrees of freedom per i-simplex
* @param thee Pointer to a Re allocated memory location
*/
VEXTERNC int Re_numEDF(Re *thee);
/**
* @ingroup Re
* @brief Face degrees of freedom per i-simplex
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return Face degrees of freedom per i-simplex
* @param thee Pointer to a Re allocated memory location
*/
VEXTERNC int Re_numFDF(Re *thee);
/**
* @ingroup Re
* @brief Simplex degrees of freedom per i-simplex
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return Simplex degrees of freedom per i-simplex
* @param thee Pointer to a Re allocated memory location
*/
VEXTERNC int Re_numSDF(Re *thee);
/**
* @ingroup Re
* @brief Requested quadrature order
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return Requested quadrature order
* @param thee Pointer to a Re allocated memory location
*/
VEXTERNC int Re_qorder(Re *thee);
/**
* @ingroup Re
* @brief number of polys in volume element
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return number of polys in volume element
* numP = numV * numVDF
* + numE * numEDF
* + numF * numFDF
* + numS * numSDF
* <= VMAXP
* @param thee Pointer to a Re allocated memory location
* @param f index for the face types
*/
VEXTERNC int Re_numP(Re *thee, int f);
/**
* @ingroup Re
* @brief number of volume/surface quad pts
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return number of volume/surface quad pts
* @param thee Pointer to a Re allocated memory location
* @param f index for the face types
*/
VEXTERNC int Re_numQ(Re *thee, int f);
/**
* @ingroup Re
* @brief master element integration weight of volume/surface quadrature point data
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return master element integration weight of volume/surface quadrature point data
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param f index for the face types
*/
VEXTERNC double Re_w(Re *thee, int m, int f);
/**
* @ingroup Re
* @brief master element integration point coordinates of volume/surface quadrature
* point data
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return master element integration point coordinates of volume/surface quadrature
* point data
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of polys/coefs
* @param f index for the face types
*/
VEXTERNC double Re_x(Re *thee, int m, int i, int f);
/**
* @ingroup Re
* @brief values of local basis funcs at integ pt
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return values of local basis funcs at integ pt
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of polys/coefs
* @param f index for the face types
*/
VEXTERNC double Re_phi(Re *thee, int m, int i, int f);
/**
* @ingroup Re
* @brief x-derivs of local basis funcs at integ pt
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return x-derivs of local basis funcs at integ pt
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of polys/coefs
* @param f index for the face types
*/
VEXTERNC double Re_phix(Re *thee, int m, int i, int f);
/**
* @ingroup Re
* @brief y-derivs of local basis funcs at integ pt
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return y-derivs of local basis funcs at integ pt
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of polys/coefs
* @param f index for the face types
*/
VEXTERNC double Re_phiy(Re *thee, int m, int i, int f);
/**
* @ingroup Re
* @brief z-derivs of local basis funcs at integ pt
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return z-derivs of local basis funcs at integ pt
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of the xyz coordinates
* @param f index for the face types
*/
VEXTERNC double Re_phiz(Re *thee, int m, int i, int f);
/**
* @ingroup Re
* @brief Derivs of local basis funcs at integ pt
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return Derivs of local basis funcs at integ pt
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of polys/coefs
* @param j index of the xyz coordinates
* @param f index for the face types
*/
VEXTERNC double Re_phix2(Re *thee, int m, int i, int j, int f);
/**
* @ingroup Re
* @brief hi-acc number of volume/surface quad pts
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return hi-acc number of volume/surface quad pts
* @param thee Pointer to a Re allocated memory location
* @param f index for the face types
*/
VEXTERNC int Re_numQ_hi(Re *thee, int f);
/**
* @ingroup Re
* @brief high defination master element integration weight of volume/surface
* quadrature point data
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return high defination master element integration weight of volume/surface
* quadrature point data
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param f index for the face types
*/
VEXTERNC double Re_w_hi(Re *thee, int m, int f);
/**
* @ingroup Re
* @brief hi-acc master element integration point coordinates of volume/surface quadrature
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return hi-acc master element integration point coordinates of volume/surface quadrature
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of polys/coefs
* @param f index for the face types
*/
VEXTERNC double Re_x_hi(Re *thee, int m, int i, int f);
/**
* @ingroup Re
* @brief
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return hi-acc values of local basis funcs at integ pt
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of polys/coefs
* @param f index for the face types
*/
VEXTERNC double Re_phi_hi(Re *thee, int m, int i, int f);
/**
* @ingroup Re
* @brief hi-acc x-derivs of local basis funcs at integ pt
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return hi-acc x-derivs of local basis funcs at integ pt
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of polys/coefs
* @param f index for the face types
*/
VEXTERNC double Re_phix_hi(Re *thee, int m, int i, int f);
/**
* @ingroup Re
* @brief hi-acc y-derivs of local basis funcs at integ pt
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return hi-acc y-derivs of local basis funcs at integ pt
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of polys/coefs
* @param f index for the face types
*/
VEXTERNC double Re_phiy_hi(Re *thee, int m, int i, int f);
/**
* @ingroup Re
* @brief hi-acc z-derivs of local basis funcs at integ pt
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return hi-acc z-derivs of local basis funcs at integ pt
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of polys/coefs
* @param f index for the face types
*/
VEXTERNC double Re_phiz_hi(Re *thee, int m, int i, int f);
/**
* @ingroup Re
* @brief hi-acc derivs of local basis funcs at integ pt
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return hi-acc derivs of local basis funcs at integ pt
* @param thee Pointer to a Re allocated memory location
* @param m index of the quadrature points
* @param i index of polys/coefs
* @param j index of the xyz coordinates
* @param f index for the face types
*/
VEXTERNC double Re_phix2_hi(Re *thee, int m, int i, int j, int f);
/**
* @ingroup Re
* @brief permutations of surface quadrature points
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return permutations of surface quadrature points
* @param thee Pointer to a Re allocated memory location
* @param vxn_pmt permutations of (0,1,2) to label rows in Re:
* @param m index of the quadrature points
*/
VEXTERNC int Re_sqPmt(Re *thee, int vxn_pmt, int m);
/**
* @ingroup Re
* @brief permutations of hi-acc surface quad.points
* @author Michael Holst
* @note Class Re: Non-inlineable methods (Re.c)
* @return permutations of hi-acc surface quad.points
* @param thee Pointer to a Re allocated memory location
* @param vxn_pmt permutations of (0,1,2) to label rows in Re:
* @param m index of the quadrature points
*/
VEXTERNC int Re_sqPmt_hi(Re *thee, int vxn_pmt, int m);
/**
* RYAN -- NEED TO FILL THIS IN
* A class for capturing a (vector) finite element space.
*/
struct sFES {
/** @brief function domain dimension */
int dim;
/** @brief function range dimension */
int dimV;
/** @brief total DOF in an i-simplex */
int numDF;
/** @brief the reference elements */
Re *re[MAXV];
};
/**
* RYAN -- NEED TO FILL THIS IN
*/
typedef struct sFES FES;
#endif /* _RE_H_ */
|