xref: /petsc/src/ksp/pc/impls/tfs/tfs.h (revision 97875e9b79e2bbe048eade562751ac9319ead7d5)
1 
2 #if !defined(__TFS_H)
3 #define __TFS_H
4 
5 /**********************************const.h*************************************
6 
7 Author: Henry M. Tufo III
8 
9 e-mail: hmt@cs.brown.edu
10 
11 snail-mail:
12 Division of Applied Mathematics
13 Brown University
14 Providence, RI 02912
15 
16 Last Modification:
17 6.21.97
18 ***********************************const.h************************************/
19 
20 /**********************************const.h*************************************
21 File Description:
22 -----------------
23 
24 ***********************************const.h************************************/
25 #include "petsc.h"
26 #include "petscsys.h"
27 #if defined(PETSC_HAVE_STDLIB_H)
28 #include <stdlib.h>
29 #endif
30 #if defined(PETSC_HAVE_MALLOC_H)
31 #include <malloc.h>
32 #endif
33 #include "petscblaslapack.h"
34 #include <limits.h>
35 #include <float.h>
36 
37 #define X          0
38 #define Y          1
39 #define Z          2
40 #define XY         3
41 #define XZ         4
42 #define YZ         5
43 
44 
45 #define THRESH          0.2
46 #define N_HALF          4096
47 #define PRIV_BUF_SZ     45
48 
49 /*4096 8192 32768 65536 1048576 */
50 #define MAX_MSG_BUF     32768
51 
52 #define FULL          2
53 #define PARTIAL       1
54 #define NONE          0
55 
56 #define BYTE		8
57 #define BIT_0		0x1
58 #define BIT_1		0x2
59 #define BIT_2		0x4
60 #define BIT_3		0x8
61 #define BIT_4		0x10
62 #define BIT_5		0x20
63 #define BIT_6		0x40
64 #define BIT_7		0x80
65 #define TOP_BIT         INT_MIN
66 #define ALL_ONES        -1
67 
68 #define FALSE		0
69 #define TRUE		1
70 
71 #define C		0
72 
73 
74 #define MAX_VEC		1674
75 #define FORMAT		30
76 #define MAX_COL_LEN    	100
77 #define MAX_LINE	FORMAT*MAX_COL_LEN
78 #define   DELIM         " \n \t"
79 #define LINE		12
80 #define C_LINE		80
81 
82 #define REAL_MAX	DBL_MAX
83 #define REAL_MIN	DBL_MIN
84 
85 #define   UT            5               /* dump upper 1/2 */
86 #define   LT            6               /* dump lower 1/2 */
87 #define   SYMM          8               /* we assume symm and dump upper 1/2 */
88 #define   NON_SYMM      9
89 
90 #define   ROW          10
91 #define   COL          11
92 
93 #define EPS   1.0e-14
94 #define EPS2  1.0e-07
95 
96 
97 #define MPI   1
98 #define NX    2
99 
100 
101 #define LOG2(x)		(PetscScalar)log((double)x)/log(2)
102 #define SWAP(a,b)       temp=(a); (a)=(b); (b)=temp;
103 #define P_SWAP(a,b)     ptr=(a); (a)=(b); (b)=ptr;
104 
105 #define MAX_FABS(x,y)   ((double)fabs(x)>(double)fabs(y)) ? ((PetscScalar)x) : ((PetscScalar)y)
106 #define MIN_FABS(x,y)   ((double)fabs(x)<(double)fabs(y)) ? ((PetscScalar)x) : ((PetscScalar)y)
107 
108 /* specer's existence ... can be done w/MAX_ABS */
109 #define EXISTS(x,y)     ((x)==0.0) ? (y) : (x)
110 
111 #define MULT_NEG_ONE(a) (a) *= -1;
112 #define NEG(a)          (a) |= BIT_31;
113 #define POS(a)          (a) &= INT_MAX;
114 
115 
116 
117 
118 /**********************************types.h*************************************
119 
120 Author: Henry M. Tufo III
121 
122 e-mail: hmt@cs.brown.edu
123 
124 snail-mail:
125 Division of Applied Mathematics
126 Brown University
127 Providence, RI 02912
128 
129 Last Modification:
130 6.21.97
131 ***********************************types.h************************************/
132 
133 /**********************************types.h*************************************
134 File Description:
135 -----------------
136 
137 ***********************************types.h************************************/
138 typedef PetscErrorCode (*vfp)(void*,void*,int,...);
139 typedef PetscErrorCode (*rbfp)(PetscScalar *, PetscScalar *, int len);
140 #define vbfp MPI_User_function *
141 typedef int (*bfp)(void*, void *, int *len, MPI_Datatype *dt);
142 
143 /***********************************comm.h*************************************
144 
145 Author: Henry M. Tufo III
146 
147 e-mail: hmt@cs.brown.edu
148 
149 snail-mail:
150 Division of Applied Mathematics
151 Brown University
152 Providence, RI 02912
153 
154 Last Modification:
155 6.21.97
156 ***********************************comm.h*************************************/
157 
158 /***********************************comm.h*************************************
159 File Description:
160 -----------------
161 
162 ***********************************comm.h*************************************/
163 
164 /***********************************comm.h*************************************
165 Function:
166 
167 Input :
168 Output:
169 Return:
170 Description:
171 Usage:
172 ***********************************comm.h*************************************/
173 extern PetscMPIInt my_id;
174 extern PetscMPIInt num_nodes;
175 extern PetscMPIInt floor_num_nodes;
176 extern PetscMPIInt i_log2_num_nodes;
177 
178 extern PetscErrorCode giop(int *vals, int *work, int n, int *oprs);
179 extern PetscErrorCode grop(PetscScalar *vals, PetscScalar *work, int n, int *oprs);
180 extern PetscErrorCode gfop(void *vals, void *wk, int n, vbfp fp, MPI_Datatype dt, int comm_type);
181 extern PetscErrorCode comm_init(void);
182 extern PetscErrorCode giop_hc(int *vals, int *work, int n, int *oprs, int dim);
183 extern PetscErrorCode grop_hc(PetscScalar *vals, PetscScalar *work, int n, int *oprs, int dim);
184 extern PetscErrorCode grop_hc_vvl(PetscScalar *vals, PetscScalar *work, int *n, int *oprs, int dim);
185 extern PetscErrorCode ssgl_radd(PetscScalar *vals, PetscScalar *work, int level, int *segs);
186 
187 #define MSGTAG0 101
188 #define MSGTAG1 1001
189 #define MSGTAG2 76207
190 #define MSGTAG3 100001
191 #define MSGTAG4 163841
192 #define MSGTAG5 249439
193 #define MSGTAG6 10000001
194 
195 
196 /**********************************error.h*************************************
197 
198 Author: Henry M. Tufo III
199 
200 e-mail: hmt@cs.brown.edu
201 
202 snail-mail:
203 Division of Applied Mathematics
204 Brown University
205 Providence, RI 02912
206 
207 Last Modification:
208 6.21.97
209 **********************************error.h*************************************/
210 
211 /**********************************error.h*************************************
212 File Description:
213 -----------------
214 
215 **********************************error.h*************************************/
216 
217 /**********************************error.h*************************************
218 Function: error_msg_fatal()
219 
220 Input : formatted string and arguments.
221 Output: conversion printed to stdout.
222 Return: na.
223 Description: prints error message and terminates program.
224 Usage: error_msg_fatal("this is my %d'st test",test_num)
225 **********************************error.h*************************************/
226 extern PetscErrorCode error_msg_fatal(const char msg[], ...);
227 
228 
229 
230 /**********************************error.h*************************************
231 Function: error_msg_warning()
232 
233 Input : formatted string and arguments.
234 Output: conversion printed to stdout.
235 Return: na.
236 Description: prints error message.
237 Usage: error_msg_warning("this is my %d'st test",test_num)
238 **********************************error.h*************************************/
239 extern PetscErrorCode error_msg_warning(const char msg[], ...);
240 
241 /*$Id: vector.c,v 1.228 2001/03/23 23:21:22 balay Exp $*/
242 /**********************************ivec.h**************************************
243 
244 Author: Henry M. Tufo III
245 
246 e-mail: hmt@cs.brown.edu
247 
248 snail-mail:
249 Division of Applied Mathematics
250 Brown University
251 Providence, RI 02912
252 
253 Last Modification:
254 6.21.97
255 ***********************************ivec.h*************************************/
256 
257 /**********************************ivec.h**************************************
258 File Description:
259 -----------------
260 
261 ***********************************ivec.h*************************************/
262 
263 #define SORT_REAL		1
264 #define SORT_INTEGER	        0
265 #define SORT_INT_PTR	        2
266 
267 
268 #define NON_UNIFORM     0
269 #define GL_MAX          1
270 #define GL_MIN          2
271 #define GL_MULT         3
272 #define GL_ADD          4
273 #define GL_B_XOR        5
274 #define GL_B_OR         6
275 #define GL_B_AND        7
276 #define GL_L_XOR        8
277 #define GL_L_OR         9
278 #define GL_L_AND        10
279 #define GL_MAX_ABS      11
280 #define GL_MIN_ABS      12
281 #define GL_EXISTS       13
282 
283 
284 
285 /**********************************ivec.h**************************************
286 Function:
287 
288 Input :
289 Output:
290 Return:
291 Description:
292 Usage:
293 ***********************************ivec.h*************************************/
294 extern int *ivec_copy(int *arg1, int *arg2, int n);
295 
296 extern PetscErrorCode ivec_zero(int *arg1, int n);
297 extern PetscErrorCode ivec_set(int *arg1, int arg2, int n);
298 
299 extern int ivec_lb(int *work, int n);
300 extern int ivec_ub(int *work, int n);
301 extern int ivec_sum(int *arg1, int n);
302 
303 extern vfp ivec_fct_addr(int type);
304 
305 extern PetscErrorCode ivec_non_uniform(int *arg1, int *arg2, int n, int *arg3);
306 extern PetscErrorCode ivec_max(int *arg1, int *arg2, int n);
307 extern PetscErrorCode ivec_min(int *arg1, int *arg2, int n);
308 extern PetscErrorCode ivec_mult(int *arg1, int *arg2, int n);
309 extern PetscErrorCode ivec_add(int *arg1, int *arg2, int n);
310 extern PetscErrorCode ivec_xor(int *arg1, int *arg2, int n);
311 extern PetscErrorCode ivec_or(int *arg1, int *arg2, int len);
312 extern PetscErrorCode ivec_and(int *arg1, int *arg2, int len);
313 extern PetscErrorCode ivec_lxor(int *arg1, int *arg2, int n);
314 extern PetscErrorCode ivec_lor(int *arg1, int *arg2, int len);
315 extern PetscErrorCode ivec_land(int *arg1, int *arg2, int len);
316 extern PetscErrorCode ivec_and3( int *arg1,  int *arg2,  int *arg3, int n);
317 
318 extern PetscErrorCode ivec_sort_companion(int *ar, int *ar2, int size);
319 extern PetscErrorCode ivec_sort(int *ar, int size);
320 extern PetscErrorCode SMI_sort(void *ar1, void *ar2, int size, int type);
321 extern int ivec_binary_search(int item, int *list, int n);
322 extern int ivec_linear_search(int item, int *list, int n);
323 
324 extern PetscErrorCode ivec_sort_companion_hack(int *ar, int **ar2, int size);
325 
326 
327 extern PetscErrorCode rvec_zero(PetscScalar *arg1, int n);
328 extern PetscErrorCode rvec_one(PetscScalar *arg1, int n);
329 extern PetscErrorCode rvec_set(PetscScalar *arg1, PetscScalar arg2, int n);
330 extern PetscErrorCode rvec_copy(PetscScalar *arg1, PetscScalar *arg2, int n);
331 extern PetscErrorCode rvec_scale(PetscScalar *arg1, PetscScalar arg2, int n);
332 
333 extern vfp rvec_fct_addr(int type);
334 extern PetscErrorCode rvec_add(PetscScalar *arg1, PetscScalar *arg2, int n);
335 extern PetscErrorCode rvec_mult(PetscScalar *arg1, PetscScalar *arg2, int n);
336 extern PetscErrorCode rvec_max(PetscScalar *arg1, PetscScalar *arg2, int n);
337 extern PetscErrorCode rvec_max_abs(PetscScalar *arg1, PetscScalar *arg2, int n);
338 extern PetscErrorCode rvec_min(PetscScalar *arg1, PetscScalar *arg2, int n);
339 extern PetscErrorCode rvec_min_abs(PetscScalar *arg1, PetscScalar *arg2, int n);
340 extern PetscErrorCode vec_exists(PetscScalar *arg1, PetscScalar *arg2, int n);
341 
342 
343 /*$Id: vector.c,v 1.228 2001/03/23 23:21:22 balay Exp $*/
344 /***********************************gs.h***************************************
345 
346 Author: Henry M. Tufo III
347 
348 e-mail: hmt@cs.brown.edu
349 
350 snail-mail:
351 Division of Applied Mathematics
352 Brown University
353 Providence, RI 02912
354 
355 Last Modification:
356 6.21.97
357 ************************************gs.h**************************************/
358 
359 /***********************************gs.h***************************************
360 File Description:
361 -----------------
362 
363 ************************************gs.h**************************************/
364 
365 /***********************************gs.h***************************************
366 Type: gs_ADT
367 ------------
368 
369 ************************************gs.h**************************************/
370 
371 typedef struct gather_scatter_id *gs_ADT;
372 typedef PetscErrorCode (*Rbfp)(PetscScalar *, PetscScalar *, int len);
373 
374 /***********************************gs.h***************************************
375 Function:
376 
377 Input :
378 Output:
379 Return:
380 Description:
381 Usage:
382 ************************************gs.h**************************************/
383 extern gs_ADT gs_init(int *elms, int nel, int level);
384 extern PetscErrorCode   gs_gop(gs_ADT gs_handle, PetscScalar *vals, const char *op);
385 extern PetscErrorCode   gs_gop_vec(gs_ADT gs_handle, PetscScalar *vals, const char *op, int step);
386 extern PetscErrorCode   gs_gop_binary(gs_ADT gs, PetscScalar *vals, Rbfp fct);
387 extern PetscErrorCode   gs_gop_hc(gs_ADT gs_handle, PetscScalar *vals, const char *op, int dim);
388 extern PetscErrorCode   gs_free(gs_ADT gs_handle);
389 extern PetscErrorCode   gs_init_msg_buf_sz(int buf_size);
390 extern PetscErrorCode   gs_init_vec_sz(int size);
391 
392 
393 
394 /*************************************xxt.h************************************
395 Module Name: xxt
396 Module Info: need xxt.{c,h} gs.{c,h} comm.{c,h} ivec.{c,h} error.{c,h}
397 
398 author:  Henry M. Tufo III
399 e-mail:  hmt@asci.uchicago.edu
400 contact:
401 +--------------------------------+--------------------------------+
402 |MCS Division - Building 221     |Department of Computer Science  |
403 |Argonne National Laboratory     |Ryerson 152                     |
404 |9700 S. Cass Avenue             |The University of Chicago       |
405 |Argonne, IL  60439              |Chicago, IL  60637              |
406 |(630) 252-5354/5986 ph/fx       |(773) 702-6019/8487 ph/fx       |
407 +--------------------------------+--------------------------------+
408 
409 Last Modification: 3.20.01
410 **************************************xxt.h***********************************/
411 
412 /*************************************xxt.h************************************
413 File Description:
414 **************************************xxt.h***********************************/
415 
416 /*************************************xxt.h************************************
417 Notes on Usage:
418 **************************************xxt.h***********************************/
419 
420 
421 typedef struct xxt_CDT *xxt_ADT;
422 
423 
424 /*************************************xxt.h************************************
425 Function: XXT_new()
426 
427 Input :
428 Output:
429 Return: ADT ptr or NULL upon failure.
430 Description: This function allocates and returns an xxt handle
431 Usage: xxt_handle = xxt_new();
432 **************************************xxt.h***********************************/
433 extern xxt_ADT XXT_new(void);
434 
435 
436 /*************************************xxt.h************************************
437 Function: XXT_free()
438 
439 Input : pointer to ADT.
440 Output:
441 Return:
442 Description: This function frees the storage associated with an xxt handle
443 Usage: XXT_free(xxt_handle);
444 **************************************xxt.h***********************************/
445 EXTERN int XXT_free(xxt_ADT xxt_handle);
446 
447 
448 /*************************************xxt.h************************************
449 Function: XXT_factor
450 
451 Input : ADT ptr,  and pointer to object
452 Output:
453 Return: 0 on failure, 1 on success
454 Description: This function sets the xxt solver
455 
456 xxt assumptions: given n rows of global coarse matrix (E_loc) where
457    o global dofs N = sum_p(n), p=0,P-1
458    (i.e. row dist. with no dof replication)
459    (5.21.00 will handle dif replication case)
460    o m is the number of columns in E_loc (m>=n)
461    o local2global holds global number of column i (i=0,...,m-1)
462    o local2global holds global number of row    i (i=0,...,n-1)
463    o mylocmatvec performs E_loc . x_loc where x_loc is an vector of
464    length m in 1-1 correspondence with local2global
465    (note that gs package takes care of communication).
466    (note do not zero out upper m-n entries!)
467    o mylocmatvec(void *grid_data, double *in, double *out)
468 
469 ML beliefs/usage: move this to to ML_XXT_factor routine
470    o my_ml holds address of ML struct associated w/E_loc, grid_data, grid_tag
471    o grid_tag, grid_data, my_ml used in
472       ML_Set_CSolve(my_ml, grid_tag, grid_data, ML_Do_CoarseDirect);
473    o grid_data used in
474       A_matvec(grid_data,v,u);
475 
476 Usage:
477 **************************************xxt.h***********************************/
478 extern int XXT_factor(xxt_ADT xxt_handle,   /* prev. allocated xxt  handle */
479                       int *local2global,    /* global column mapping       */
480 		      int n,                /* local num rows              */
481 		      int m,                /* local num cols              */
482 		      void *mylocmatvec,    /* b_loc=A_local.x_loc         */
483 		      void *grid_data       /* grid data for matvec        */
484 		      );
485 
486 
487 /*************************************xxt.h************************************
488 Function: XXT_solve
489 
490 Input : ADT ptr, b (rhs)
491 Output: x (soln)
492 Return:
493 Description: This function performs x = E^-1.b
494 Usage:
495 XXT_solve(xxt_handle, double *x, double *b)
496 XXT_solve(xxt_handle, double *x, NULL)
497 assumes x has been initialized to be b
498 **************************************xxt.h***********************************/
499 extern int XXT_solve(xxt_ADT xxt_handle, double *x, double *b);
500 
501 
502 /*************************************xxt.h************************************
503 Function: XXT_stats
504 
505 Input : handle
506 Output:
507 Return:
508 Description:
509 factor stats
510 **************************************xxt.h***********************************/
511 extern int XXT_stats(xxt_ADT xxt_handle);
512 
513 
514 /*************************************xxt.h************************************
515 Function: XXT_sp_1()
516 
517 Input : pointer to ADT
518 Output:
519 Return:
520 Description: sets xxt parameter 1 in xxt_handle
521 Usage: implement later
522 
523 void XXT_sp_1(xxt_handle,parameter 1 value)
524 **************************************xxt.h***********************************/
525 
526 
527 /*************************************xyt.h************************************
528 Module Name: xyt
529 Module Info: need xyt.{c,h} gs.{c,h} comm.{c,h} ivec.{c,h} error.{c,h}
530 
531 author:  Henry M. Tufo III
532 e-mail:  hmt@asci.uchicago.edu
533 contact:
534 +--------------------------------+--------------------------------+
535 |MCS Division - Building 221     |Department of Computer Science  |
536 |Argonne National Laboratory     |Ryerson 152                     |
537 |9700 S. Cass Avenue             |The University of Chicago       |
538 |Argonne, IL  60439              |Chicago, IL  60637              |
539 |(630) 252-5354/5986 ph/fx       |(773) 702-6019/8487 ph/fx       |
540 +--------------------------------+--------------------------------+
541 
542 Last Modification: 3.20.01
543 **************************************xyt.h***********************************/
544 
545 /*************************************xyt.h************************************
546 File Description:
547 **************************************xyt.h***********************************/
548 
549 /*************************************xyt.h************************************
550 Notes on Usage:
551 **************************************xyt.h***********************************/
552 
553 
554 
555 typedef struct xyt_CDT *xyt_ADT;
556 
557 
558 /*************************************xyt.h************************************
559 Function: XYT_new()
560 
561 Input :
562 Output:
563 Return: ADT ptr or NULL upon failure.
564 Description: This function allocates and returns an xyt handle
565 Usage: xyt_handle = xyt_new();
566 **************************************xyt.h***********************************/
567 extern xyt_ADT XYT_new(void);
568 
569 
570 /*************************************xyt.h************************************
571 Function: XYT_free()
572 
573 Input : pointer to ADT.
574 Output:
575 Return:
576 Description: This function frees the storage associated with an xyt handle
577 Usage: XYT_free(xyt_handle);
578 **************************************xyt.h***********************************/
579 EXTERN int XYT_free(xyt_ADT xyt_handle);
580 
581 
582 /*************************************xyt.h************************************
583 Function: XYT_factor
584 
585 Input : ADT ptr,  and pointer to object
586 Output:
587 Return: 0 on failure, 1 on success
588 Description: This function sets the xyt solver
589 
590 xyt assumptions: given n rows of global coarse matrix (E_loc) where
591    o global dofs N = sum_p(n), p=0,P-1
592    (i.e. row dist. with no dof replication)
593    (5.21.00 will handle dif replication case)
594    o m is the number of columns in E_loc (m>=n)
595    o local2global holds global number of column i (i=0,...,m-1)
596    o local2global holds global number of row    i (i=0,...,n-1)
597    o mylocmatvec performs E_loc . x_loc where x_loc is an vector of
598    length m in 1-1 correspondence with local2global
599    (note that gs package takes care of communication).
600    (note do not zero out upper m-n entries!)
601    o mylocmatvec(void *grid_data, double *in, double *out)
602 
603 ML beliefs/usage: move this to to ML_XYT_factor routine
604    o my_ml holds address of ML struct associated w/E_loc, grid_data, grid_tag
605    o grid_tag, grid_data, my_ml used in
606       ML_Set_CSolve(my_ml, grid_tag, grid_data, ML_Do_CoarseDirect);
607    o grid_data used in
608       A_matvec(grid_data,v,u);
609 
610 Usage:
611 **************************************xyt.h***********************************/
612 extern int XYT_factor(xyt_ADT xyt_handle,   /* prev. allocated xyt  handle */
613                       int *local2global,    /* global column mapping       */
614 		      int n,                /* local num rows              */
615 		      int m,                /* local num cols              */
616 		      void *mylocmatvec,    /* b_loc=A_local.x_loc         */
617 		      void *grid_data       /* grid data for matvec        */
618 		      );
619 
620 
621 /*************************************xyt.h************************************
622 Function: XYT_solve
623 
624 Input : ADT ptr, b (rhs)
625 Output: x (soln)
626 Return:
627 Description: This function performs x = E^-1.b
628 Usage: XYT_solve(xyt_handle, double *x, double *b)
629 **************************************xyt.h***********************************/
630 extern int XYT_solve(xyt_ADT xyt_handle, double *x, double *b);
631 
632 
633 /*************************************xyt.h************************************
634 Function: XYT_stats
635 
636 Input : handle
637 Output:
638 Return:
639 Description:
640 factor stats
641 **************************************xyt.h***********************************/
642 extern int XYT_stats(xyt_ADT xyt_handle);
643 
644 
645 /*************************************xyt.h************************************
646 Function: XYT_sp_1()
647 
648 Input : pointer to ADT
649 Output:
650 Return:
651 Description: sets xyt parameter 1 in xyt_handle
652 Usage: implement later
653 
654 PetscErrorCode XYT_sp_1(xyt_handle,parameter 1 value)
655 **************************************xyt.h***********************************/
656 
657 /********************************bit_mask.h************************************
658 
659 Author: Henry M. Tufo III
660 
661 e-mail: hmt@cs.brown.edu
662 
663 snail-mail:
664 Division of Applied Mathematics
665 Brown University
666 Providence, RI 02912
667 
668 Last Modification:
669 11.21.97
670 *********************************bit_mask.h***********************************/
671 
672 /********************************bit_mask.h************************************
673 File Description:
674 -----------------
675 
676 *********************************bit_mask.h***********************************/
677 
678 
679 /********************************bit_mask.h************************************
680 Function:
681 
682 Input :
683 Output:
684 Return:
685 Description:
686 Usage:
687 *********************************bit_mask.h***********************************/
688 extern int div_ceil(int numin, int denom);
689 extern PetscErrorCode set_bit_mask(int *bm, int len, int val);
690 extern int len_bit_mask(int num_items);
691 extern int ct_bits(char *ptr, int n);
692 extern PetscErrorCode bm_to_proc(char *ptr, int p_mask, int *msg_list);
693 extern int len_buf(int item_size, int num_items);
694 
695 #endif
696 
697