source: CIVL/examples/mpi-omp/AMG2013/struct_mv/box_algebra.c@ 397ae5f

main test-branch
Last change on this file since 397ae5f was ea777aa, checked in by Alex Wilton <awilton@…>, 3 years ago

Moved examples, include, build_default.properties, common.xml, and README out from dev.civl.com into the root of the repo.

git-svn-id: ​svn://vsl.cis.udel.edu/civl/trunk@5704 fb995dde-84ed-4084-dfe6-e5aef3e2452c
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1/*BHEADER**********************************************************************
2 * Copyright (c) 2008, Lawrence Livermore National Security, LLC.
3 * Produced at the Lawrence Livermore National Laboratory.
4 * This file is part of HYPRE. See file COPYRIGHT for details.
5 *
6 * HYPRE is free software; you can redistribute it and/or modify it under the
7 * terms of the GNU Lesser General Public License (as published by the Free
8 * Software Foundation) version 2.1 dated February 1999.
9 *
10 * $Revision: 2.4 $
11 ***********************************************************************EHEADER*/
12
13
14/******************************************************************************
15 *
16 * Member functions for hypre_Box class:
17 * Box algebra functions.
18 *
19 *****************************************************************************/
20
21#include "headers.h"
22
23/*--------------------------------------------------------------------------
24 * Intersect box1 and box2.
25 * If the boxes do not intersect, the result is a box with zero volume.
26 *--------------------------------------------------------------------------*/
27
28int
29hypre_IntersectBoxes( hypre_Box *box1,
30 hypre_Box *box2,
31 hypre_Box *ibox )
32{
33 int ierr = 0;
34 int d;
35
36 /* find x, y, and z bounds */
37 for (d = 0; d < 3; d++)
38 {
39 hypre_BoxIMinD(ibox, d) =
40 hypre_max(hypre_BoxIMinD(box1, d), hypre_BoxIMinD(box2, d));
41 hypre_BoxIMaxD(ibox, d) =
42 hypre_min(hypre_BoxIMaxD(box1, d), hypre_BoxIMaxD(box2, d));
43 }
44
45 return ierr;
46}
47
48/*--------------------------------------------------------------------------
49 * Compute (box1 - box2) and append result to box_array.
50 *--------------------------------------------------------------------------*/
51
52int
53hypre_SubtractBoxes( hypre_Box *box1,
54 hypre_Box *box2,
55 hypre_BoxArray *box_array )
56{
57 int ierr = 0;
58
59 hypre_Box *box;
60 hypre_Box *rembox;
61 int d, size;
62
63 /*------------------------------------------------------
64 * Set the box array size to the maximum possible,
65 * plus one, to have space for the remainder box.
66 *------------------------------------------------------*/
67
68 size = hypre_BoxArraySize(box_array);
69 hypre_BoxArraySetSize(box_array, (size + 7));
70
71 /*------------------------------------------------------
72 * Subtract the boxes by cutting box1 in x, y, then z
73 *------------------------------------------------------*/
74
75 rembox = hypre_BoxArrayBox(box_array, (size + 6));
76 hypre_CopyBox(box1, rembox);
77
78 for (d = 0; d < 3; d++)
79 {
80 /* if the boxes do not intersect, the subtraction is trivial */
81 if ( (hypre_BoxIMinD(box2, d) > hypre_BoxIMaxD(rembox, d)) ||
82 (hypre_BoxIMaxD(box2, d) < hypre_BoxIMinD(rembox, d)) )
83 {
84 size = hypre_BoxArraySize(box_array) - 7;
85 hypre_CopyBox(box1, hypre_BoxArrayBox(box_array, size));
86 size++;
87 break;
88 }
89
90 /* update the box array */
91 else
92 {
93 if ( hypre_BoxIMinD(box2, d) > hypre_BoxIMinD(rembox, d) )
94 {
95 box = hypre_BoxArrayBox(box_array, size);
96 hypre_CopyBox(rembox, box);
97 hypre_BoxIMaxD(box, d) = hypre_BoxIMinD(box2, d) - 1;
98 hypre_BoxIMinD(rembox, d) = hypre_BoxIMinD(box2, d);
99 if ( hypre_BoxVolume(box)>0 ) size++;
100 }
101 if ( hypre_BoxIMaxD(box2, d) < hypre_BoxIMaxD(rembox, d) )
102 {
103 box = hypre_BoxArrayBox(box_array, size);
104 hypre_CopyBox(rembox, box);
105 hypre_BoxIMinD(box, d) = hypre_BoxIMaxD(box2, d) + 1;
106 hypre_BoxIMaxD(rembox, d) = hypre_BoxIMaxD(box2, d);
107 if ( hypre_BoxVolume(box)>0 ) size++;
108 }
109 }
110 }
111 hypre_BoxArraySetSize(box_array, size);
112
113 return ierr;
114}
115
116/*--------------------------------------------------------------------------
117 * Compute (box_array1 - box_array2) and replace box_array1 with result.
118 *--------------------------------------------------------------------------*/
119
120int
121hypre_SubtractBoxArrays( hypre_BoxArray *box_array1,
122 hypre_BoxArray *box_array2,
123 hypre_BoxArray *tmp_box_array )
124{
125 int ierr = 0;
126
127 hypre_BoxArray *diff_boxes = box_array1;
128 hypre_BoxArray *new_diff_boxes = tmp_box_array;
129 hypre_BoxArray box_array;
130 hypre_Box *box1;
131 hypre_Box *box2;
132 int i, k;
133
134 hypre_ForBoxI(i, box_array2)
135 {
136 box2 = hypre_BoxArrayBox(box_array2, i);
137
138 /* compute new_diff_boxes = (diff_boxes - box2) */
139 hypre_BoxArraySetSize(new_diff_boxes, 0);
140 hypre_ForBoxI(k, diff_boxes)
141 {
142 box1 = hypre_BoxArrayBox(diff_boxes, k);
143 hypre_SubtractBoxes(box1, box2, new_diff_boxes);
144 }
145
146 /* swap internals of diff_boxes and new_diff_boxes */
147 box_array = *new_diff_boxes;
148 *new_diff_boxes = *diff_boxes;
149 *diff_boxes = box_array;
150 }
151
152 return ierr;
153}
154
155/*--------------------------------------------------------------------------
156 * Compute (box_array1 - box_array2) (excluding boxa and boxb from box_array2)
157 * and replace box_array1 with result.
158 *--------------------------------------------------------------------------*/
159
160int
161hypre_SubtractBoxArraysExceptBoxes( hypre_BoxArray *box_array1,
162 hypre_BoxArray *box_array2,
163 hypre_BoxArray *tmp_box_array,
164 hypre_Box *boxa, hypre_Box *boxb )
165{
166 int ierr = 0;
167
168 hypre_BoxArray *diff_boxes = box_array1;
169 hypre_BoxArray *new_diff_boxes = tmp_box_array;
170 hypre_BoxArray box_array;
171 hypre_Box *box1;
172 hypre_Box *box2;
173 int i, k;
174
175 hypre_ForBoxI(i, box_array2)
176 {
177 box2 = hypre_BoxArrayBox(box_array2, i);
178
179 if ( (! hypre_BoxEqualP(boxa,box2)) && (! hypre_BoxEqualP(boxb,box2)) )
180 {
181 /* compute new_diff_boxes = (diff_boxes - box2) */
182 hypre_BoxArraySetSize(new_diff_boxes, 0);
183 hypre_ForBoxI(k, diff_boxes)
184 {
185 box1 = hypre_BoxArrayBox(diff_boxes, k);
186 hypre_SubtractBoxes(box1, box2, new_diff_boxes);
187 }
188
189 /* swap internals of diff_boxes and new_diff_boxes */
190 box_array = *new_diff_boxes;
191 *new_diff_boxes = *diff_boxes;
192 *diff_boxes = box_array;
193 }
194 }
195
196 return ierr;
197}
198
199/*--------------------------------------------------------------------------
200 * Compute the union of all boxes.
201 *
202 * To compute the union, we first construct a logically rectangular,
203 * variably spaced, 3D grid called block. Each cell (i,j,k) of block
204 * corresponds to a box with extents given by
205 *
206 * iminx = block_index[0][i]
207 * iminy = block_index[1][j]
208 * iminz = block_index[2][k]
209 * imaxx = block_index[0][i+1] - 1
210 * imaxy = block_index[1][j+1] - 1
211 * imaxz = block_index[2][k+1] - 1
212 *
213 * The size of block is given by
214 *
215 * sizex = block_sz[0]
216 * sizey = block_sz[1]
217 * sizez = block_sz[2]
218 *
219 * We initially set all cells of block that are part of the union to
220 *
221 * factor[2] + factor[1] + factor[0]
222 *
223 * where
224 *
225 * factor[0] = 1;
226 * factor[1] = (block_sz[0] + 1);
227 * factor[2] = (block_sz[1] + 1) * factor[1];
228 *
229 * The cells of block are then "joined" in x first, then y, then z.
230 * The result is that each nonzero entry of block corresponds to a
231 * box in the union with extents defined by factoring the entry, then
232 * indexing into the block_index array.
233 *
234 * Note: Special care has to be taken for boxes of size 0.
235 *
236 *--------------------------------------------------------------------------*/
237
238int
239hypre_UnionBoxes( hypre_BoxArray *boxes )
240{
241 int ierr = 0;
242
243 hypre_Box *box;
244
245 int *block_index[3];
246 int block_sz[3], block_volume;
247 int *block;
248 int index;
249 int size;
250 int factor[3];
251
252 int iminmax[2], imin[3], imax[3];
253 int ii[3], dd[3];
254 int join;
255 int i_tmp0, i_tmp1;
256 int ioff, joff, koff;
257 int bi, d, i, j, k;
258
259 int index_not_there;
260
261 /*------------------------------------------------------
262 * If the size of boxes is less than 2, return
263 *------------------------------------------------------*/
264
265 if (hypre_BoxArraySize(boxes) < 2)
266 {
267 return ierr;
268 }
269
270 /*------------------------------------------------------
271 * Set up the block_index array
272 *------------------------------------------------------*/
273
274 i_tmp0 = 2 * hypre_BoxArraySize(boxes);
275 block_index[0] = hypre_TAlloc(int, 3 * i_tmp0);
276 block_sz[0] = 0;
277 for (d = 1; d < 3; d++)
278 {
279 block_index[d] = block_index[d-1] + i_tmp0;
280 block_sz[d] = 0;
281 }
282
283 hypre_ForBoxI(bi, boxes)
284 {
285 box = hypre_BoxArrayBox(boxes, bi);
286
287 for (d = 0; d < 3; d++)
288 {
289 iminmax[0] = hypre_BoxIMinD(box, d);
290 iminmax[1] = hypre_BoxIMaxD(box, d) + 1;
291
292 for (i = 0; i < 2; i++)
293 {
294 /* find the new index position in the block_index array */
295 index_not_there = 1;
296 for (j = 0; j < block_sz[d]; j++)
297 {
298 if (iminmax[i] <= block_index[d][j])
299 {
300 if (iminmax[i] == block_index[d][j])
301 index_not_there = 0;
302 break;
303 }
304 }
305
306 /* if the index is already there, don't add it again */
307 if (index_not_there)
308 {
309 for (k = block_sz[d]; k > j; k--)
310 block_index[d][k] = block_index[d][k-1];
311 block_index[d][j] = iminmax[i];
312 block_sz[d]++;
313 }
314 }
315 }
316 }
317
318 for (d = 0; d < 3; d++)
319 block_sz[d]--;
320 block_volume = block_sz[0] * block_sz[1] * block_sz[2];
321
322 /*------------------------------------------------------
323 * Set factor values
324 *------------------------------------------------------*/
325
326 factor[0] = 1;
327 factor[1] = (block_sz[0] + 1);
328 factor[2] = (block_sz[1] + 1) * factor[1];
329
330 /*------------------------------------------------------
331 * Set up the block array
332 *------------------------------------------------------*/
333
334 block = hypre_CTAlloc(int, block_volume);
335
336 hypre_ForBoxI(bi, boxes)
337 {
338 box = hypre_BoxArrayBox(boxes, bi);
339
340 /* find the block_index indices corresponding to the current box */
341 for (d = 0; d < 3; d++)
342 {
343 j = 0;
344
345 while (hypre_BoxIMinD(box, d) != block_index[d][j])
346 j++;
347 imin[d] = j;
348
349 while (hypre_BoxIMaxD(box, d) + 1 != block_index[d][j])
350 j++;
351 imax[d] = j;
352 }
353
354 /* note: boxes of size zero will not be added to block */
355 for (k = imin[2]; k < imax[2]; k++)
356 {
357 for (j = imin[1]; j < imax[1]; j++)
358 {
359 for (i = imin[0]; i < imax[0]; i++)
360 {
361 index = ((k) * block_sz[1] + j) * block_sz[0] + i;
362
363 block[index] = factor[2] + factor[1] + factor[0];
364 }
365 }
366 }
367 }
368
369 /*------------------------------------------------------
370 * Join block array in x, then y, then z
371 *
372 * Notes:
373 * - ii[0], ii[1], and ii[2] correspond to indices
374 * in x, y, and z respectively.
375 * - dd specifies the order in which to loop over
376 * the three dimensions.
377 *------------------------------------------------------*/
378
379 for (d = 0; d < 3; d++)
380 {
381 switch(d)
382 {
383 case 0: /* join in x */
384 dd[0] = 0;
385 dd[1] = 1;
386 dd[2] = 2;
387 break;
388
389 case 1: /* join in y */
390 dd[0] = 1;
391 dd[1] = 0;
392 dd[2] = 2;
393 break;
394
395 case 2: /* join in z */
396 dd[0] = 2;
397 dd[1] = 1;
398 dd[2] = 0;
399 break;
400 }
401
402 for (ii[dd[2]] = 0; ii[dd[2]] < block_sz[dd[2]]; ii[dd[2]]++)
403 {
404 for (ii[dd[1]] = 0; ii[dd[1]] < block_sz[dd[1]]; ii[dd[1]]++)
405 {
406 join = 0;
407 for (ii[dd[0]] = 0; ii[dd[0]] < block_sz[dd[0]]; ii[dd[0]]++)
408 {
409 index = ((ii[2]) * block_sz[1] + ii[1]) * block_sz[0] + ii[0];
410
411 if ((join) && (block[index] == i_tmp1))
412 {
413 block[index] = 0;
414 block[i_tmp0] += factor[dd[0]];
415 }
416 else
417 {
418 if (block[index])
419 {
420 i_tmp0 = index;
421 i_tmp1 = block[index];
422 join = 1;
423 }
424 else
425 join = 0;
426 }
427 }
428 }
429 }
430 }
431
432 /*------------------------------------------------------
433 * Set up the boxes BoxArray
434 *------------------------------------------------------*/
435
436 size = 0;
437 for (index = 0; index < block_volume; index++)
438 {
439 if (block[index])
440 size++;
441 }
442 hypre_BoxArraySetSize(boxes, size);
443
444 index = 0;
445 size = 0;
446 for (k = 0; k < block_sz[2]; k++)
447 {
448 for (j = 0; j < block_sz[1]; j++)
449 {
450 for (i = 0; i < block_sz[0]; i++)
451 {
452 if (block[index])
453 {
454 ioff = (block[index] % factor[1]) ;
455 joff = (block[index] % factor[2]) / factor[1];
456 koff = (block[index] ) / factor[2];
457
458 box = hypre_BoxArrayBox(boxes, size);
459 hypre_BoxIMinD(box, 0) = block_index[0][i];
460 hypre_BoxIMinD(box, 1) = block_index[1][j];
461 hypre_BoxIMinD(box, 2) = block_index[2][k];
462 hypre_BoxIMaxD(box, 0) = block_index[0][i + ioff] - 1;
463 hypre_BoxIMaxD(box, 1) = block_index[1][j + joff] - 1;
464 hypre_BoxIMaxD(box, 2) = block_index[2][k + koff] - 1;
465
466 size++;
467 }
468
469 index++;
470 }
471 }
472 }
473
474 /*---------------------------------------------------------
475 * Clean up and return
476 *---------------------------------------------------------*/
477
478 hypre_TFree(block_index[0]);
479 hypre_TFree(block);
480
481 return ierr;
482}
483
484/*--------------------------------------------------------------------------
485 * Compute the union of all boxes such that the min. no. of boxes is
486 * generated. Accomplished by making six calls to hypre_UnionBoxes and then
487 * taking the union that has the least no. of boxes. The six calls union in
488 * the order xzy, yzx, yxz, zxy, zyx, xyz
489 *--------------------------------------------------------------------------*/
490int
491hypre_MinUnionBoxes( hypre_BoxArray *boxes )
492{
493 int ierr = 0;
494
495 hypre_BoxArrayArray *rotated_array;
496 hypre_BoxArray *rotated_boxes;
497 hypre_Box *box, *rotated_box;
498 hypre_Index lower, upper;
499
500 int i, j, size, min_size, array;
501
502 size= hypre_BoxArraySize(boxes);
503 rotated_box= hypre_CTAlloc(hypre_Box, 1);
504 rotated_array= hypre_BoxArrayArrayCreate(5);
505
506 for (i= 0; i< 5; i++)
507 {
508 rotated_boxes= hypre_BoxArrayArrayBoxArray(rotated_array, i);
509 switch(i)
510 {
511 case 0:
512 for (j= 0; j< size; j++)
513 {
514 box= hypre_BoxArrayBox(boxes, j);
515 hypre_SetIndex(lower, hypre_BoxIMin(box)[0], hypre_BoxIMin(box)[2],
516 hypre_BoxIMin(box)[1]);
517 hypre_SetIndex(upper, hypre_BoxIMax(box)[0], hypre_BoxIMax(box)[2],
518 hypre_BoxIMax(box)[1]);
519 hypre_BoxSetExtents(rotated_box, lower, upper);
520 hypre_AppendBox(rotated_box, rotated_boxes);
521 }
522 hypre_UnionBoxes(rotated_boxes);
523 break;
524
525 case 1:
526 for (j= 0; j< size; j++)
527 {
528 box= hypre_BoxArrayBox(boxes, j);
529 hypre_SetIndex(lower, hypre_BoxIMin(box)[1], hypre_BoxIMin(box)[2],
530 hypre_BoxIMin(box)[0]);
531 hypre_SetIndex(upper, hypre_BoxIMax(box)[1], hypre_BoxIMax(box)[2],
532 hypre_BoxIMax(box)[0]);
533 hypre_BoxSetExtents(rotated_box, lower, upper);
534 hypre_AppendBox(rotated_box, rotated_boxes);
535 }
536 hypre_UnionBoxes(rotated_boxes);
537 break;
538
539 case 2:
540 for (j= 0; j< size; j++)
541 {
542 box= hypre_BoxArrayBox(boxes, j);
543 hypre_SetIndex(lower, hypre_BoxIMin(box)[1], hypre_BoxIMin(box)[0],
544 hypre_BoxIMin(box)[2]);
545 hypre_SetIndex(upper, hypre_BoxIMax(box)[1], hypre_BoxIMax(box)[0],
546 hypre_BoxIMax(box)[2]);
547 hypre_BoxSetExtents(rotated_box, lower, upper);
548 hypre_AppendBox(rotated_box, rotated_boxes);
549 }
550 hypre_UnionBoxes(rotated_boxes);
551 break;
552
553 case 3:
554 for (j= 0; j< size; j++)
555 {
556 box= hypre_BoxArrayBox(boxes, j);
557 hypre_SetIndex(lower, hypre_BoxIMin(box)[2], hypre_BoxIMin(box)[0],
558 hypre_BoxIMin(box)[1]);
559 hypre_SetIndex(upper, hypre_BoxIMax(box)[2], hypre_BoxIMax(box)[0],
560 hypre_BoxIMax(box)[1]);
561 hypre_BoxSetExtents(rotated_box, lower, upper);
562 hypre_AppendBox(rotated_box, rotated_boxes);
563 }
564 hypre_UnionBoxes(rotated_boxes);
565 break;
566
567 case 4:
568 for (j= 0; j< size; j++)
569 {
570 box= hypre_BoxArrayBox(boxes, j);
571 hypre_SetIndex(lower, hypre_BoxIMin(box)[2], hypre_BoxIMin(box)[1],
572 hypre_BoxIMin(box)[0]);
573 hypre_SetIndex(upper, hypre_BoxIMax(box)[2], hypre_BoxIMax(box)[1],
574 hypre_BoxIMax(box)[0]);
575 hypre_BoxSetExtents(rotated_box, lower, upper);
576 hypre_AppendBox(rotated_box, rotated_boxes);
577 }
578 hypre_UnionBoxes(rotated_boxes);
579 break;
580
581 } /*switch(i) */
582 } /* for (i= 0; i< 5; i++) */
583 hypre_TFree(rotated_box);
584
585 hypre_UnionBoxes(boxes);
586
587 array= 5;
588 min_size= hypre_BoxArraySize(boxes);
589
590 for (i= 0; i< 5; i++)
591 {
592 rotated_boxes= hypre_BoxArrayArrayBoxArray(rotated_array, i);
593 if (hypre_BoxArraySize(rotated_boxes) < min_size)
594 {
595 min_size= hypre_BoxArraySize(rotated_boxes);
596 array= i;
597 }
598 }
599
600 /* copy the box_array with the minimum number of boxes to boxes */
601 if (array != 5)
602 {
603 rotated_boxes= hypre_BoxArrayArrayBoxArray(rotated_array, array);
604 hypre_BoxArraySize(boxes)= min_size;
605
606 switch(array)
607 {
608 case 0:
609 for (j= 0; j< min_size; j++)
610 {
611 rotated_box= hypre_BoxArrayBox(rotated_boxes, j);
612 hypre_SetIndex(lower, hypre_BoxIMin(rotated_box)[0], hypre_BoxIMin(rotated_box)[2],
613 hypre_BoxIMin(rotated_box)[1]);
614 hypre_SetIndex(upper, hypre_BoxIMax(rotated_box)[0], hypre_BoxIMax(rotated_box)[2],
615 hypre_BoxIMax(rotated_box)[1]);
616
617 hypre_BoxSetExtents( hypre_BoxArrayBox(boxes, j), lower, upper);
618 }
619 break;
620
621 case 1:
622 for (j= 0; j< min_size; j++)
623 {
624 rotated_box= hypre_BoxArrayBox(rotated_boxes, j);
625 hypre_SetIndex(lower, hypre_BoxIMin(rotated_box)[2], hypre_BoxIMin(rotated_box)[0],
626 hypre_BoxIMin(rotated_box)[1]);
627 hypre_SetIndex(upper, hypre_BoxIMax(rotated_box)[2], hypre_BoxIMax(rotated_box)[0],
628 hypre_BoxIMax(rotated_box)[1]);
629
630 hypre_BoxSetExtents( hypre_BoxArrayBox(boxes, j), lower, upper);
631 }
632 break;
633
634 case 2:
635 for (j= 0; j< min_size; j++)
636 {
637 rotated_box= hypre_BoxArrayBox(rotated_boxes, j);
638 hypre_SetIndex(lower, hypre_BoxIMin(rotated_box)[1], hypre_BoxIMin(rotated_box)[0],
639 hypre_BoxIMin(rotated_box)[2]);
640 hypre_SetIndex(upper, hypre_BoxIMax(rotated_box)[1], hypre_BoxIMax(rotated_box)[0],
641 hypre_BoxIMax(rotated_box)[2]);
642
643 hypre_BoxSetExtents( hypre_BoxArrayBox(boxes, j), lower, upper);
644 }
645 break;
646
647 case 3:
648 for (j= 0; j< min_size; j++)
649 {
650 rotated_box= hypre_BoxArrayBox(rotated_boxes, j);
651 hypre_SetIndex(lower, hypre_BoxIMin(rotated_box)[1], hypre_BoxIMin(rotated_box)[2],
652 hypre_BoxIMin(rotated_box)[0]);
653 hypre_SetIndex(upper, hypre_BoxIMax(rotated_box)[1], hypre_BoxIMax(rotated_box)[2],
654 hypre_BoxIMax(rotated_box)[0]);
655
656 hypre_BoxSetExtents( hypre_BoxArrayBox(boxes, j), lower, upper);
657 }
658 break;
659
660 case 4:
661 for (j= 0; j< min_size; j++)
662 {
663 rotated_box= hypre_BoxArrayBox(rotated_boxes, j);
664 hypre_SetIndex(lower, hypre_BoxIMin(rotated_box)[2], hypre_BoxIMin(rotated_box)[1],
665 hypre_BoxIMin(rotated_box)[0]);
666 hypre_SetIndex(upper, hypre_BoxIMax(rotated_box)[2], hypre_BoxIMax(rotated_box)[1],
667 hypre_BoxIMax(rotated_box)[0]);
668
669 hypre_BoxSetExtents( hypre_BoxArrayBox(boxes, j), lower, upper);
670 }
671 break;
672
673 } /* switch(array) */
674 } /* if (array != 5) */
675
676 hypre_BoxArrayArrayDestroy(rotated_array);
677
678 return ierr;
679}
680
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