xref: /petsc/src/ksp/pc/impls/tfs/gs.c (revision ccb4e88a40f0b86eaeca07ff64c64e4de2fae686)
1 
2 /***********************************gs.c***************************************
3 
4 Author: Henry M. Tufo III
5 
6 e-mail: hmt@cs.brown.edu
7 
8 snail-mail:
9 Division of Applied Mathematics
10 Brown University
11 Providence, RI 02912
12 
13 Last Modification:
14 6.21.97
15 ************************************gs.c**************************************/
16 
17 /***********************************gs.c***************************************
18 File Description:
19 -----------------
20 
21 ************************************gs.c**************************************/
22 
23 #include <../src/ksp/pc/impls/tfs/tfs.h>
24 
25 /* default length of number of items via tree - doubles if exceeded */
26 #define TREE_BUF_SZ 2048;
27 #define GS_VEC_SZ   1
28 
29 /***********************************gs.c***************************************
30 Type: struct gather_scatter_id
31 ------------------------------
32 
33 ************************************gs.c**************************************/
34 typedef struct gather_scatter_id {
35   PetscInt    id;
36   PetscInt    nel_min;
37   PetscInt    nel_max;
38   PetscInt    nel_sum;
39   PetscInt    negl;
40   PetscInt    gl_max;
41   PetscInt    gl_min;
42   PetscInt    repeats;
43   PetscInt    ordered;
44   PetscInt    positive;
45   PetscScalar *vals;
46 
47   /* bit mask info */
48   PetscInt *my_proc_mask;
49   PetscInt mask_sz;
50   PetscInt *ngh_buf;
51   PetscInt ngh_buf_sz;
52   PetscInt *nghs;
53   PetscInt num_nghs;
54   PetscInt max_nghs;
55   PetscInt *pw_nghs;
56   PetscInt num_pw_nghs;
57   PetscInt *tree_nghs;
58   PetscInt num_tree_nghs;
59 
60   PetscInt num_loads;
61 
62   /* repeats == true -> local info */
63   PetscInt nel;         /* number of unique elememts */
64   PetscInt *elms;       /* of size nel */
65   PetscInt nel_total;
66   PetscInt *local_elms; /* of size nel_total */
67   PetscInt *companion;  /* of size nel_total */
68 
69   /* local info */
70   PetscInt num_local_total;
71   PetscInt local_strength;
72   PetscInt num_local;
73   PetscInt *num_local_reduce;
74   PetscInt **local_reduce;
75   PetscInt num_local_gop;
76   PetscInt *num_gop_local_reduce;
77   PetscInt **gop_local_reduce;
78 
79   /* pairwise info */
80   PetscInt    level;
81   PetscInt    num_pairs;
82   PetscInt    max_pairs;
83   PetscInt    loc_node_pairs;
84   PetscInt    max_node_pairs;
85   PetscInt    min_node_pairs;
86   PetscInt    avg_node_pairs;
87   PetscInt    *pair_list;
88   PetscInt    *msg_sizes;
89   PetscInt    **node_list;
90   PetscInt    len_pw_list;
91   PetscInt    *pw_elm_list;
92   PetscScalar *pw_vals;
93 
94   MPI_Request *msg_ids_in;
95   MPI_Request *msg_ids_out;
96 
97   PetscScalar *out;
98   PetscScalar *in;
99   PetscInt    msg_total;
100 
101   /* tree - crystal accumulator info */
102   PetscInt max_left_over;
103   PetscInt *pre;
104   PetscInt *in_num;
105   PetscInt *out_num;
106   PetscInt **in_list;
107   PetscInt **out_list;
108 
109   /* new tree work*/
110   PetscInt    tree_nel;
111   PetscInt    *tree_elms;
112   PetscScalar *tree_buf;
113   PetscScalar *tree_work;
114 
115   PetscInt tree_map_sz;
116   PetscInt *tree_map_in;
117   PetscInt *tree_map_out;
118 
119   /* current memory status */
120   PetscInt gl_bss_min;
121   PetscInt gl_perm_min;
122 
123   /* max segment size for PCTFS_gs_gop_vec() */
124   PetscInt vec_sz;
125 
126   /* hack to make paul happy */
127   MPI_Comm PCTFS_gs_comm;
128 
129 } PCTFS_gs_id;
130 
131 static PCTFS_gs_id *gsi_check_args(PetscInt *elms, PetscInt nel, PetscInt level);
132 static PetscErrorCode gsi_via_bit_mask(PCTFS_gs_id *gs);
133 static PetscErrorCode get_ngh_buf(PCTFS_gs_id *gs);
134 static PetscErrorCode set_pairwise(PCTFS_gs_id *gs);
135 static PCTFS_gs_id *gsi_new(void);
136 static PetscErrorCode set_tree(PCTFS_gs_id *gs);
137 
138 /* same for all but vector flavor */
139 static PetscErrorCode PCTFS_gs_gop_local_out(PCTFS_gs_id *gs, PetscScalar *vals);
140 /* vector flavor */
141 static PetscErrorCode PCTFS_gs_gop_vec_local_out(PCTFS_gs_id *gs, PetscScalar *vals, PetscInt step);
142 
143 static PetscErrorCode PCTFS_gs_gop_vec_plus(PCTFS_gs_id *gs, PetscScalar *in_vals, PetscInt step);
144 static PetscErrorCode PCTFS_gs_gop_vec_pairwise_plus(PCTFS_gs_id *gs, PetscScalar *in_vals, PetscInt step);
145 static PetscErrorCode PCTFS_gs_gop_vec_local_plus(PCTFS_gs_id *gs, PetscScalar *vals, PetscInt step);
146 static PetscErrorCode PCTFS_gs_gop_vec_local_in_plus(PCTFS_gs_id *gs, PetscScalar *vals, PetscInt step);
147 static PetscErrorCode PCTFS_gs_gop_vec_tree_plus(PCTFS_gs_id *gs, PetscScalar *vals, PetscInt step);
148 
149 static PetscErrorCode PCTFS_gs_gop_local_plus(PCTFS_gs_id *gs, PetscScalar *vals);
150 static PetscErrorCode PCTFS_gs_gop_local_in_plus(PCTFS_gs_id *gs, PetscScalar *vals);
151 
152 static PetscErrorCode PCTFS_gs_gop_plus_hc(PCTFS_gs_id *gs, PetscScalar *in_vals, PetscInt dim);
153 static PetscErrorCode PCTFS_gs_gop_pairwise_plus_hc(PCTFS_gs_id *gs, PetscScalar *in_vals, PetscInt dim);
154 static PetscErrorCode PCTFS_gs_gop_tree_plus_hc(PCTFS_gs_id *gs, PetscScalar *vals, PetscInt dim);
155 
156 /* global vars */
157 /* from comm.c module */
158 
159 static PetscInt num_gs_ids = 0;
160 
161 /* should make this dynamic ... later */
162 static PetscInt msg_buf    =MAX_MSG_BUF;
163 static PetscInt vec_sz     =GS_VEC_SZ;
164 static PetscInt *tree_buf  =NULL;
165 static PetscInt tree_buf_sz=0;
166 static PetscInt ntree      =0;
167 
168 /***************************************************************************/
169 PetscErrorCode PCTFS_gs_init_vec_sz(PetscInt size)
170 {
171   PetscFunctionBegin;
172   vec_sz = size;
173   PetscFunctionReturn(0);
174 }
175 
176 /******************************************************************************/
177 PetscErrorCode PCTFS_gs_init_msg_buf_sz(PetscInt buf_size)
178 {
179   PetscFunctionBegin;
180   msg_buf = buf_size;
181   PetscFunctionReturn(0);
182 }
183 
184 /******************************************************************************/
185 PCTFS_gs_id *PCTFS_gs_init(PetscInt *elms, PetscInt nel, PetscInt level)
186 {
187   PCTFS_gs_id    *gs;
188   MPI_Group      PCTFS_gs_group;
189   MPI_Comm       PCTFS_gs_comm;
190   PetscErrorCode ierr;
191 
192   /* ensure that communication package has been initialized */
193   PCTFS_comm_init();
194 
195   /* determines if we have enough dynamic/semi-static memory */
196   /* checks input, allocs and sets gd_id template            */
197   gs = gsi_check_args(elms,nel,level);
198 
199   /* only bit mask version up and working for the moment    */
200   /* LATER :: get int list version working for sparse pblms */
201   ierr = gsi_via_bit_mask(gs);CHKERRABORT(PETSC_COMM_WORLD,ierr);
202 
203   ierr = MPI_Comm_group(MPI_COMM_WORLD,&PCTFS_gs_group);CHKERRABORT(PETSC_COMM_WORLD,ierr);
204   ierr = MPI_Comm_create(MPI_COMM_WORLD,PCTFS_gs_group,&PCTFS_gs_comm);CHKERRABORT(PETSC_COMM_WORLD,ierr);
205   ierr = MPI_Group_free(&PCTFS_gs_group);CHKERRABORT(PETSC_COMM_WORLD,ierr);
206 
207   gs->PCTFS_gs_comm=PCTFS_gs_comm;
208 
209   return(gs);
210 }
211 
212 /******************************************************************************/
213 static PCTFS_gs_id *gsi_new(void)
214 {
215   PetscErrorCode ierr;
216   PCTFS_gs_id    *gs;
217   gs   = (PCTFS_gs_id*) malloc(sizeof(PCTFS_gs_id));
218   ierr = PetscMemzero(gs,sizeof(PCTFS_gs_id));CHKERRABORT(PETSC_COMM_WORLD,ierr);
219   return(gs);
220 }
221 
222 /******************************************************************************/
223 static PCTFS_gs_id *gsi_check_args(PetscInt *in_elms, PetscInt nel, PetscInt level)
224 {
225   PetscInt       i, j, k, t2;
226   PetscInt       *companion, *elms, *unique, *iptr;
227   PetscInt       num_local=0, *num_to_reduce, **local_reduce;
228   PetscInt       oprs[]   = {NON_UNIFORM,GL_MIN,GL_MAX,GL_ADD,GL_MIN,GL_MAX,GL_MIN,GL_B_AND};
229   PetscInt       vals[sizeof(oprs)/sizeof(oprs[0])-1];
230   PetscInt       work[sizeof(oprs)/sizeof(oprs[0])-1];
231   PCTFS_gs_id    *gs;
232   PetscErrorCode ierr;
233 
234   if (!in_elms) SETERRABORT(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"elms point to nothing!!!\n");
235   if (nel<0)    SETERRABORT(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"can't have fewer than 0 elms!!!\n");
236 
237   if (nel==0) { ierr = PetscInfo(0,"I don't have any elements!!!\n");CHKERRABORT(PETSC_COMM_WORLD,ierr); }
238 
239   /* get space for gs template */
240   gs     = gsi_new();
241   gs->id = ++num_gs_ids;
242 
243   /* hmt 6.4.99                                            */
244   /* caller can set global ids that don't participate to 0 */
245   /* PCTFS_gs_init ignores all zeros in elm list                 */
246   /* negative global ids are still invalid                 */
247   for (i=j=0; i<nel; i++) {
248     if (in_elms[i]!=0) j++;
249   }
250 
251   k=nel; nel=j;
252 
253   /* copy over in_elms list and create inverse map */
254   elms      = (PetscInt*) malloc((nel+1)*sizeof(PetscInt));
255   companion = (PetscInt*) malloc(nel*sizeof(PetscInt));
256 
257   for (i=j=0; i<k; i++) {
258     if (in_elms[i]!=0) { elms[j] = in_elms[i]; companion[j++] = i; }
259   }
260 
261   if (j!=nel) SETERRABORT(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"nel j mismatch!\n");
262 
263   /* pre-pass ... check to see if sorted */
264   elms[nel] = INT_MAX;
265   iptr      = elms;
266   unique    = elms+1;
267   j         =0;
268   while (*iptr!=INT_MAX) {
269     if (*iptr++>*unique++) { j=1; break; }
270   }
271 
272   /* set up inverse map */
273   if (j) {
274     ierr = PetscInfo(0,"gsi_check_args() :: elm list *not* sorted!\n");CHKERRABORT(PETSC_COMM_WORLD,ierr);
275     ierr = PCTFS_SMI_sort((void*)elms, (void*)companion, nel, SORT_INTEGER);CHKERRABORT(PETSC_COMM_WORLD,ierr);
276   } else { ierr = PetscInfo(0,"gsi_check_args() :: elm list sorted!\n");CHKERRABORT(PETSC_COMM_WORLD,ierr); }
277   elms[nel] = INT_MIN;
278 
279   /* first pass */
280   /* determine number of unique elements, check pd */
281   for (i=k=0; i<nel; i+=j) {
282     t2 = elms[i];
283     j  = ++i;
284 
285     /* clump 'em for now */
286     while (elms[j]==t2) j++;
287 
288     /* how many together and num local */
289     if (j-=i) { num_local++; k+=j; }
290   }
291 
292   /* how many unique elements? */
293   gs->repeats = k;
294   gs->nel     = nel-k;
295 
296   /* number of repeats? */
297   gs->num_local        = num_local;
298   num_local           += 2;
299   gs->local_reduce     = local_reduce=(PetscInt**)malloc(num_local*sizeof(PetscInt*));
300   gs->num_local_reduce = num_to_reduce=(PetscInt*) malloc(num_local*sizeof(PetscInt));
301 
302   unique         = (PetscInt*) malloc((gs->nel+1)*sizeof(PetscInt));
303   gs->elms       = unique;
304   gs->nel_total  = nel;
305   gs->local_elms = elms;
306   gs->companion  = companion;
307 
308   /* compess map as well as keep track of local ops */
309   for (num_local=i=j=0; i<gs->nel; i++) {
310     k            = j;
311     t2           = unique[i] = elms[j];
312     companion[i] = companion[j];
313 
314     while (elms[j]==t2) j++;
315 
316     if ((t2=(j-k))>1) {
317       /* number together */
318       num_to_reduce[num_local] = t2++;
319 
320       iptr = local_reduce[num_local++] = (PetscInt*)malloc(t2*sizeof(PetscInt));
321 
322       /* to use binary searching don't remap until we check intersection */
323       *iptr++ = i;
324 
325       /* note that we're skipping the first one */
326       while (++k<j) *(iptr++) = companion[k];
327       *iptr = -1;
328     }
329   }
330 
331   /* sentinel for ngh_buf */
332   unique[gs->nel]=INT_MAX;
333 
334   /* for two partition sort hack */
335   num_to_reduce[num_local]   = 0;
336   local_reduce[num_local]    = NULL;
337   num_to_reduce[++num_local] = 0;
338   local_reduce[num_local]    = NULL;
339 
340   /* load 'em up */
341   /* note one extra to hold NON_UNIFORM flag!!! */
342   vals[2] = vals[1] = vals[0] = nel;
343   if (gs->nel>0) {
344     vals[3] = unique[0];
345     vals[4] = unique[gs->nel-1];
346   } else {
347     vals[3] = INT_MAX;
348     vals[4] = INT_MIN;
349   }
350   vals[5] = level;
351   vals[6] = num_gs_ids;
352 
353   /* GLOBAL: send 'em out */
354   ierr = PCTFS_giop(vals,work,sizeof(oprs)/sizeof(oprs[0])-1,oprs);CHKERRABORT(PETSC_COMM_WORLD,ierr);
355 
356   /* must be semi-pos def - only pairwise depends on this */
357   /* LATER - remove this restriction */
358   if (vals[3]<0) SETERRABORT(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"gsi_check_args() :: system not semi-pos def \n");
359   if (vals[4]==INT_MAX) SETERRABORT(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"gsi_check_args() :: system ub too large !\n");
360 
361   gs->nel_min = vals[0];
362   gs->nel_max = vals[1];
363   gs->nel_sum = vals[2];
364   gs->gl_min  = vals[3];
365   gs->gl_max  = vals[4];
366   gs->negl    = vals[4]-vals[3]+1;
367 
368   if (gs->negl<=0) SETERRABORT(PETSC_COMM_WORLD,PETSC_ERR_PLIB,"gsi_check_args() :: system empty or neg :: %d\n");
369 
370   /* LATER :: add level == -1 -> program selects level */
371   if (vals[5]<0) vals[5]=0;
372   else if (vals[5]>PCTFS_num_nodes) vals[5]=PCTFS_num_nodes;
373   gs->level = vals[5];
374 
375   return(gs);
376 }
377 
378 /******************************************************************************/
379 static PetscErrorCode gsi_via_bit_mask(PCTFS_gs_id *gs)
380 {
381   PetscInt       i, nel, *elms;
382   PetscInt       t1;
383   PetscInt       **reduce;
384   PetscInt       *map;
385   PetscErrorCode ierr;
386 
387   PetscFunctionBegin;
388   /* totally local removes ... PCTFS_ct_bits == 0 */
389   get_ngh_buf(gs);
390 
391   if (gs->level) set_pairwise(gs);
392   if (gs->max_left_over) set_tree(gs);
393 
394   /* intersection local and pairwise/tree? */
395   gs->num_local_total      = gs->num_local;
396   gs->gop_local_reduce     = gs->local_reduce;
397   gs->num_gop_local_reduce = gs->num_local_reduce;
398 
399   map = gs->companion;
400 
401   /* is there any local compression */
402   if (!gs->num_local) {
403     gs->local_strength = NONE;
404     gs->num_local_gop  = 0;
405   } else {
406     /* ok find intersection */
407     map    = gs->companion;
408     reduce = gs->local_reduce;
409     for (i=0, t1=0; i<gs->num_local; i++, reduce++) {
410       if ((PCTFS_ivec_binary_search(**reduce,gs->pw_elm_list,gs->len_pw_list)>=0) || PCTFS_ivec_binary_search(**reduce,gs->tree_map_in,gs->tree_map_sz)>=0) {
411         t1++;
412         if (gs->num_local_reduce[i]<=0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"nobody in list?");
413         gs->num_local_reduce[i] *= -1;
414       }
415       **reduce=map[**reduce];
416     }
417 
418     /* intersection is empty */
419     if (!t1) {
420       gs->local_strength = FULL;
421       gs->num_local_gop  = 0;
422     } else { /* intersection not empty */
423       gs->local_strength = PARTIAL;
424 
425       ierr = PCTFS_SMI_sort((void*)gs->num_local_reduce, (void*)gs->local_reduce, gs->num_local + 1, SORT_INT_PTR);CHKERRQ(ierr);
426 
427       gs->num_local_gop        = t1;
428       gs->num_local_total      =  gs->num_local;
429       gs->num_local           -= t1;
430       gs->gop_local_reduce     = gs->local_reduce;
431       gs->num_gop_local_reduce = gs->num_local_reduce;
432 
433       for (i=0; i<t1; i++) {
434         if (gs->num_gop_local_reduce[i]>=0) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"they aren't negative?");
435         gs->num_gop_local_reduce[i] *= -1;
436         gs->local_reduce++;
437         gs->num_local_reduce++;
438       }
439       gs->local_reduce++;
440       gs->num_local_reduce++;
441     }
442   }
443 
444   elms = gs->pw_elm_list;
445   nel  = gs->len_pw_list;
446   for (i=0; i<nel; i++) elms[i] = map[elms[i]];
447 
448   elms = gs->tree_map_in;
449   nel  = gs->tree_map_sz;
450   for (i=0; i<nel; i++) elms[i] = map[elms[i]];
451 
452   /* clean up */
453   free((void*) gs->local_elms);
454   free((void*) gs->companion);
455   free((void*) gs->elms);
456   free((void*) gs->ngh_buf);
457   gs->local_elms = gs->companion = gs->elms = gs->ngh_buf = NULL;
458   PetscFunctionReturn(0);
459 }
460 
461 /******************************************************************************/
462 static PetscErrorCode place_in_tree(PetscInt elm)
463 {
464   PetscInt *tp, n;
465 
466   PetscFunctionBegin;
467   if (ntree==tree_buf_sz) {
468     if (tree_buf_sz) {
469       tp           = tree_buf;
470       n            = tree_buf_sz;
471       tree_buf_sz<<=1;
472       tree_buf     = (PetscInt*)malloc(tree_buf_sz*sizeof(PetscInt));
473       PCTFS_ivec_copy(tree_buf,tp,n);
474       free(tp);
475     } else {
476       tree_buf_sz = TREE_BUF_SZ;
477       tree_buf    = (PetscInt*)malloc(tree_buf_sz*sizeof(PetscInt));
478     }
479   }
480 
481   tree_buf[ntree++] = elm;
482   PetscFunctionReturn(0);
483 }
484 
485 /******************************************************************************/
486 static PetscErrorCode get_ngh_buf(PCTFS_gs_id *gs)
487 {
488   PetscInt       i, j, npw=0, ntree_map=0;
489   PetscInt       p_mask_size, ngh_buf_size, buf_size;
490   PetscInt       *p_mask, *sh_proc_mask, *pw_sh_proc_mask;
491   PetscInt       *ngh_buf, *buf1, *buf2;
492   PetscInt       offset, per_load, num_loads, or_ct, start, end;
493   PetscInt       *ptr1, *ptr2, i_start, negl, nel, *elms;
494   PetscInt       oper=GL_B_OR;
495   PetscInt       *ptr3, *t_mask, level, ct1, ct2;
496   PetscErrorCode ierr;
497 
498   PetscFunctionBegin;
499   /* to make life easier */
500   nel   = gs->nel;
501   elms  = gs->elms;
502   level = gs->level;
503 
504   /* det #bytes needed for processor bit masks and init w/mask cor. to PCTFS_my_id */
505   p_mask = (PetscInt*) malloc(p_mask_size=PCTFS_len_bit_mask(PCTFS_num_nodes));
506   ierr   = PCTFS_set_bit_mask(p_mask,p_mask_size,PCTFS_my_id);CHKERRQ(ierr);
507 
508   /* allocate space for masks and info bufs */
509   gs->nghs       = sh_proc_mask = (PetscInt*) malloc(p_mask_size);
510   gs->pw_nghs    = pw_sh_proc_mask = (PetscInt*) malloc(p_mask_size);
511   gs->ngh_buf_sz = ngh_buf_size = p_mask_size*nel;
512   t_mask         = (PetscInt*) malloc(p_mask_size);
513   gs->ngh_buf    = ngh_buf = (PetscInt*) malloc(ngh_buf_size);
514 
515   /* comm buffer size ... memory usage bounded by ~2*msg_buf */
516   /* had thought I could exploit rendezvous threshold */
517 
518   /* default is one pass */
519   per_load      = negl  = gs->negl;
520   gs->num_loads = num_loads = 1;
521   i             = p_mask_size*negl;
522 
523   /* possible overflow on buffer size */
524   /* overflow hack                    */
525   if (i<0) i=INT_MAX;
526 
527   buf_size = PetscMin(msg_buf,i);
528 
529   /* can we do it? */
530   if (p_mask_size>buf_size) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"get_ngh_buf() :: buf<pms :: %d>%d\n",p_mask_size,buf_size);
531 
532   /* get PCTFS_giop buf space ... make *only* one malloc */
533   buf1 = (PetscInt*) malloc(buf_size<<1);
534 
535   /* more than one gior exchange needed? */
536   if (buf_size!=i) {
537     per_load      = buf_size/p_mask_size;
538     buf_size      = per_load*p_mask_size;
539     gs->num_loads = num_loads = negl/per_load + (negl%per_load>0);
540   }
541 
542   /* convert buf sizes from #bytes to #ints - 32 bit only! */
543   p_mask_size/=sizeof(PetscInt); ngh_buf_size/=sizeof(PetscInt); buf_size/=sizeof(PetscInt);
544 
545   /* find PCTFS_giop work space */
546   buf2 = buf1+buf_size;
547 
548   /* hold #ints needed for processor masks */
549   gs->mask_sz=p_mask_size;
550 
551   /* init buffers */
552   ierr = PCTFS_ivec_zero(sh_proc_mask,p_mask_size);CHKERRQ(ierr);
553   ierr = PCTFS_ivec_zero(pw_sh_proc_mask,p_mask_size);CHKERRQ(ierr);
554   ierr = PCTFS_ivec_zero(ngh_buf,ngh_buf_size);CHKERRQ(ierr);
555 
556   /* HACK reset tree info */
557   tree_buf    = NULL;
558   tree_buf_sz = ntree = 0;
559 
560   /* ok do it */
561   for (ptr1=ngh_buf,ptr2=elms,end=gs->gl_min,or_ct=i=0; or_ct<num_loads; or_ct++) {
562     /* identity for bitwise or is 000...000 */
563     PCTFS_ivec_zero(buf1,buf_size);
564 
565     /* load msg buffer */
566     for (start=end,end+=per_load,i_start=i; (offset=*ptr2)<end; i++, ptr2++) {
567       offset = (offset-start)*p_mask_size;
568       PCTFS_ivec_copy(buf1+offset,p_mask,p_mask_size);
569     }
570 
571     /* GLOBAL: pass buffer */
572     ierr = PCTFS_giop(buf1,buf2,buf_size,&oper);CHKERRQ(ierr);
573 
574     /* unload buffer into ngh_buf */
575     ptr2=(elms+i_start);
576     for (ptr3=buf1,j=start; j<end; ptr3+=p_mask_size,j++) {
577       /* I own it ... may have to pairwise it */
578       if (j==*ptr2) {
579         /* do i share it w/anyone? */
580         ct1 = PCTFS_ct_bits((char*)ptr3,p_mask_size*sizeof(PetscInt));
581         /* guess not */
582         if (ct1<2) { ptr2++; ptr1+=p_mask_size; continue; }
583 
584         /* i do ... so keep info and turn off my bit */
585         PCTFS_ivec_copy(ptr1,ptr3,p_mask_size);
586         ierr = PCTFS_ivec_xor(ptr1,p_mask,p_mask_size);CHKERRQ(ierr);
587         ierr = PCTFS_ivec_or(sh_proc_mask,ptr1,p_mask_size);CHKERRQ(ierr);
588 
589         /* is it to be done pairwise? */
590         if (--ct1<=level) {
591           npw++;
592 
593           /* turn on high bit to indicate pw need to process */
594           *ptr2++ |= TOP_BIT;
595           ierr     = PCTFS_ivec_or(pw_sh_proc_mask,ptr1,p_mask_size);CHKERRQ(ierr);
596           ptr1    += p_mask_size;
597           continue;
598         }
599 
600         /* get set for next and note that I have a tree contribution */
601         /* could save exact elm index for tree here -> save a search */
602         ptr2++; ptr1+=p_mask_size; ntree_map++;
603       } else { /* i don't but still might be involved in tree */
604 
605         /* shared by how many? */
606         ct1 = PCTFS_ct_bits((char*)ptr3,p_mask_size*sizeof(PetscInt));
607 
608         /* none! */
609         if (ct1<2) continue;
610 
611         /* is it going to be done pairwise? but not by me of course!*/
612         if (--ct1<=level) continue;
613       }
614       /* LATER we're going to have to process it NOW */
615       /* nope ... tree it */
616       ierr = place_in_tree(j);CHKERRQ(ierr);
617     }
618   }
619 
620   free((void*)t_mask);
621   free((void*)buf1);
622 
623   gs->len_pw_list = npw;
624   gs->num_nghs    = PCTFS_ct_bits((char*)sh_proc_mask,p_mask_size*sizeof(PetscInt));
625 
626   /* expand from bit mask list to int list and save ngh list */
627   gs->nghs = (PetscInt*) malloc(gs->num_nghs * sizeof(PetscInt));
628   PCTFS_bm_to_proc((char*)sh_proc_mask,p_mask_size*sizeof(PetscInt),gs->nghs);
629 
630   gs->num_pw_nghs = PCTFS_ct_bits((char*)pw_sh_proc_mask,p_mask_size*sizeof(PetscInt));
631 
632   oper         = GL_MAX;
633   ct1          = gs->num_nghs;
634   ierr         = PCTFS_giop(&ct1,&ct2,1,&oper);CHKERRQ(ierr);
635   gs->max_nghs = ct1;
636 
637   gs->tree_map_sz  = ntree_map;
638   gs->max_left_over=ntree;
639 
640   free((void*)p_mask);
641   free((void*)sh_proc_mask);
642   PetscFunctionReturn(0);
643 }
644 
645 /******************************************************************************/
646 static PetscErrorCode set_pairwise(PCTFS_gs_id *gs)
647 {
648   PetscInt       i, j;
649   PetscInt       p_mask_size;
650   PetscInt       *p_mask, *sh_proc_mask, *tmp_proc_mask;
651   PetscInt       *ngh_buf, *buf2;
652   PetscInt       offset;
653   PetscInt       *msg_list, *msg_size, **msg_nodes, nprs;
654   PetscInt       *pairwise_elm_list, len_pair_list=0;
655   PetscInt       *iptr, t1, i_start, nel, *elms;
656   PetscInt       ct;
657   PetscErrorCode ierr;
658 
659   PetscFunctionBegin;
660   /* to make life easier */
661   nel          = gs->nel;
662   elms         = gs->elms;
663   ngh_buf      = gs->ngh_buf;
664   sh_proc_mask = gs->pw_nghs;
665 
666   /* need a few temp masks */
667   p_mask_size   = PCTFS_len_bit_mask(PCTFS_num_nodes);
668   p_mask        = (PetscInt*) malloc(p_mask_size);
669   tmp_proc_mask = (PetscInt*) malloc(p_mask_size);
670 
671   /* set mask to my PCTFS_my_id's bit mask */
672   ierr = PCTFS_set_bit_mask(p_mask,p_mask_size,PCTFS_my_id);CHKERRQ(ierr);
673 
674   p_mask_size /= sizeof(PetscInt);
675 
676   len_pair_list   = gs->len_pw_list;
677   gs->pw_elm_list = pairwise_elm_list=(PetscInt*)malloc((len_pair_list+1)*sizeof(PetscInt));
678 
679   /* how many processors (nghs) do we have to exchange with? */
680   nprs = gs->num_pairs = PCTFS_ct_bits((char*)sh_proc_mask,p_mask_size*sizeof(PetscInt));
681 
682   /* allocate space for PCTFS_gs_gop() info */
683   gs->pair_list = msg_list  = (PetscInt*)  malloc(sizeof(PetscInt)*nprs);
684   gs->msg_sizes = msg_size  = (PetscInt*)  malloc(sizeof(PetscInt)*nprs);
685   gs->node_list = msg_nodes = (PetscInt**) malloc(sizeof(PetscInt*)*(nprs+1));
686 
687   /* init msg_size list */
688   ierr = PCTFS_ivec_zero(msg_size,nprs);CHKERRQ(ierr);
689 
690   /* expand from bit mask list to int list */
691   ierr = PCTFS_bm_to_proc((char*)sh_proc_mask,p_mask_size*sizeof(PetscInt),msg_list);CHKERRQ(ierr);
692 
693   /* keep list of elements being handled pairwise */
694   for (i=j=0; i<nel; i++) {
695     if (elms[i] & TOP_BIT) { elms[i] ^= TOP_BIT; pairwise_elm_list[j++] = i; }
696   }
697   pairwise_elm_list[j] = -1;
698 
699   gs->msg_ids_out       = (MPI_Request*)  malloc(sizeof(MPI_Request)*(nprs+1));
700   gs->msg_ids_out[nprs] = MPI_REQUEST_NULL;
701   gs->msg_ids_in        = (MPI_Request*)  malloc(sizeof(MPI_Request)*(nprs+1));
702   gs->msg_ids_in[nprs]  = MPI_REQUEST_NULL;
703   gs->pw_vals           = (PetscScalar*) malloc(sizeof(PetscScalar)*len_pair_list*vec_sz);
704 
705   /* find who goes to each processor */
706   for (i_start=i=0; i<nprs; i++) {
707     /* processor i's mask */
708     ierr = PCTFS_set_bit_mask(p_mask,p_mask_size*sizeof(PetscInt),msg_list[i]);CHKERRQ(ierr);
709 
710     /* det # going to processor i */
711     for (ct=j=0; j<len_pair_list; j++) {
712       buf2 = ngh_buf+(pairwise_elm_list[j]*p_mask_size);
713       ierr = PCTFS_ivec_and3(tmp_proc_mask,p_mask,buf2,p_mask_size);CHKERRQ(ierr);
714       if (PCTFS_ct_bits((char*)tmp_proc_mask,p_mask_size*sizeof(PetscInt))) ct++;
715     }
716     msg_size[i] = ct;
717     i_start     = PetscMax(i_start,ct);
718 
719     /*space to hold nodes in message to first neighbor */
720     msg_nodes[i] = iptr = (PetscInt*) malloc(sizeof(PetscInt)*(ct+1));
721 
722     for (j=0;j<len_pair_list;j++) {
723       buf2 = ngh_buf+(pairwise_elm_list[j]*p_mask_size);
724       ierr = PCTFS_ivec_and3(tmp_proc_mask,p_mask,buf2,p_mask_size);CHKERRQ(ierr);
725       if (PCTFS_ct_bits((char*)tmp_proc_mask,p_mask_size*sizeof(PetscInt))) *iptr++ = j;
726     }
727     *iptr = -1;
728   }
729   msg_nodes[nprs] = NULL;
730 
731   j                  = gs->loc_node_pairs=i_start;
732   t1                 = GL_MAX;
733   ierr               = PCTFS_giop(&i_start,&offset,1,&t1);CHKERRQ(ierr);
734   gs->max_node_pairs = i_start;
735 
736   i_start            = j;
737   t1                 = GL_MIN;
738   ierr               = PCTFS_giop(&i_start,&offset,1,&t1);CHKERRQ(ierr);
739   gs->min_node_pairs = i_start;
740 
741   i_start            = j;
742   t1                 = GL_ADD;
743   ierr               = PCTFS_giop(&i_start,&offset,1,&t1);CHKERRQ(ierr);
744   gs->avg_node_pairs = i_start/PCTFS_num_nodes + 1;
745 
746   i_start = nprs;
747   t1      = GL_MAX;
748   PCTFS_giop(&i_start,&offset,1,&t1);
749   gs->max_pairs = i_start;
750 
751   /* remap pairwise in tail of gsi_via_bit_mask() */
752   gs->msg_total = PCTFS_ivec_sum(gs->msg_sizes,nprs);
753   gs->out       = (PetscScalar*) malloc(sizeof(PetscScalar)*gs->msg_total*vec_sz);
754   gs->in        = (PetscScalar*) malloc(sizeof(PetscScalar)*gs->msg_total*vec_sz);
755 
756   /* reset malloc pool */
757   free((void*)p_mask);
758   free((void*)tmp_proc_mask);
759   PetscFunctionReturn(0);
760 }
761 
762 /* to do pruned tree just save ngh buf copy for each one and decode here!
763 ******************************************************************************/
764 static PetscErrorCode set_tree(PCTFS_gs_id *gs)
765 {
766   PetscInt i, j, n, nel;
767   PetscInt *iptr_in, *iptr_out, *tree_elms, *elms;
768 
769   PetscFunctionBegin;
770   /* local work ptrs */
771   elms = gs->elms;
772   nel  = gs->nel;
773 
774   /* how many via tree */
775   gs->tree_nel     = n = ntree;
776   gs->tree_elms    = tree_elms = iptr_in = tree_buf;
777   gs->tree_buf     = (PetscScalar*) malloc(sizeof(PetscScalar)*n*vec_sz);
778   gs->tree_work    = (PetscScalar*) malloc(sizeof(PetscScalar)*n*vec_sz);
779   j                = gs->tree_map_sz;
780   gs->tree_map_in  = iptr_in  = (PetscInt*) malloc(sizeof(PetscInt)*(j+1));
781   gs->tree_map_out = iptr_out = (PetscInt*) malloc(sizeof(PetscInt)*(j+1));
782 
783   /* search the longer of the two lists */
784   /* note ... could save this info in get_ngh_buf and save searches */
785   if (n<=nel) {
786     /* bijective fct w/remap - search elm list */
787     for (i=0; i<n; i++) {
788       if ((j=PCTFS_ivec_binary_search(*tree_elms++,elms,nel))>=0) {*iptr_in++ = j; *iptr_out++ = i;}
789     }
790   } else {
791     for (i=0; i<nel; i++) {
792       if ((j=PCTFS_ivec_binary_search(*elms++,tree_elms,n))>=0) {*iptr_in++ = i; *iptr_out++ = j;}
793     }
794   }
795 
796   /* sentinel */
797   *iptr_in = *iptr_out = -1;
798   PetscFunctionReturn(0);
799 }
800 
801 /******************************************************************************/
802 static PetscErrorCode PCTFS_gs_gop_local_out(PCTFS_gs_id *gs,  PetscScalar *vals)
803 {
804   PetscInt    *num, *map, **reduce;
805   PetscScalar tmp;
806 
807   PetscFunctionBegin;
808   num    = gs->num_gop_local_reduce;
809   reduce = gs->gop_local_reduce;
810   while ((map = *reduce++)) {
811     /* wall */
812     if (*num == 2) {
813       num++;
814       vals[map[1]] = vals[map[0]];
815     } else if (*num == 3) { /* corner shared by three elements */
816       num++;
817       vals[map[2]] = vals[map[1]] = vals[map[0]];
818     } else if (*num == 4) { /* corner shared by four elements */
819       num++;
820       vals[map[3]] = vals[map[2]] = vals[map[1]] = vals[map[0]];
821     } else { /* general case ... odd geoms ... 3D*/
822       num++;
823       tmp = *(vals + *map++);
824       while (*map >= 0) *(vals + *map++) = tmp;
825     }
826   }
827   PetscFunctionReturn(0);
828 }
829 
830 /******************************************************************************/
831 static PetscErrorCode PCTFS_gs_gop_local_plus(PCTFS_gs_id *gs,  PetscScalar *vals)
832 {
833   PetscInt    *num, *map, **reduce;
834   PetscScalar tmp;
835 
836   PetscFunctionBegin;
837   num    = gs->num_local_reduce;
838   reduce = gs->local_reduce;
839   while ((map = *reduce)) {
840     /* wall */
841     if (*num == 2) {
842       num++; reduce++;
843       vals[map[1]] = vals[map[0]] += vals[map[1]];
844     } else if (*num == 3) { /* corner shared by three elements */
845       num++; reduce++;
846       vals[map[2]]=vals[map[1]]=vals[map[0]]+=(vals[map[1]]+vals[map[2]]);
847     } else if (*num == 4) { /* corner shared by four elements */
848       num++; reduce++;
849       vals[map[1]]=vals[map[2]]=vals[map[3]]=vals[map[0]] += (vals[map[1]] + vals[map[2]] + vals[map[3]]);
850     } else { /* general case ... odd geoms ... 3D*/
851       num++;
852       tmp = 0.0;
853       while (*map >= 0) tmp += *(vals + *map++);
854 
855       map = *reduce++;
856       while (*map >= 0) *(vals + *map++) = tmp;
857     }
858   }
859   PetscFunctionReturn(0);
860 }
861 
862 /******************************************************************************/
863 static PetscErrorCode PCTFS_gs_gop_local_in_plus(PCTFS_gs_id *gs,  PetscScalar *vals)
864 {
865   PetscInt    *num, *map, **reduce;
866   PetscScalar *base;
867 
868   PetscFunctionBegin;
869   num    = gs->num_gop_local_reduce;
870   reduce = gs->gop_local_reduce;
871   while ((map = *reduce++)) {
872     /* wall */
873     if (*num == 2) {
874       num++;
875       vals[map[0]] += vals[map[1]];
876     } else if (*num == 3) { /* corner shared by three elements */
877       num++;
878       vals[map[0]] += (vals[map[1]] + vals[map[2]]);
879     } else if (*num == 4) { /* corner shared by four elements */
880       num++;
881       vals[map[0]] += (vals[map[1]] + vals[map[2]] + vals[map[3]]);
882     } else { /* general case ... odd geoms ... 3D*/
883       num++;
884       base = vals + *map++;
885       while (*map >= 0) *base += *(vals + *map++);
886     }
887   }
888   PetscFunctionReturn(0);
889 }
890 
891 /******************************************************************************/
892 PetscErrorCode PCTFS_gs_free(PCTFS_gs_id *gs)
893 {
894   PetscInt       i;
895   PetscErrorCode ierr;
896 
897   PetscFunctionBegin;
898   ierr = MPI_Comm_free(&gs->PCTFS_gs_comm);CHKERRMPI(ierr);
899   if (gs->nghs) free((void*) gs->nghs);
900   if (gs->pw_nghs) free((void*) gs->pw_nghs);
901 
902   /* tree */
903   if (gs->max_left_over) {
904     if (gs->tree_elms) free((void*) gs->tree_elms);
905     if (gs->tree_buf) free((void*) gs->tree_buf);
906     if (gs->tree_work) free((void*) gs->tree_work);
907     if (gs->tree_map_in) free((void*) gs->tree_map_in);
908     if (gs->tree_map_out) free((void*) gs->tree_map_out);
909   }
910 
911   /* pairwise info */
912   if (gs->num_pairs) {
913     /* should be NULL already */
914     if (gs->ngh_buf) free((void*) gs->ngh_buf);
915     if (gs->elms) free((void*) gs->elms);
916     if (gs->local_elms) free((void*) gs->local_elms);
917     if (gs->companion) free((void*) gs->companion);
918 
919     /* only set if pairwise */
920     if (gs->vals) free((void*) gs->vals);
921     if (gs->in) free((void*) gs->in);
922     if (gs->out) free((void*) gs->out);
923     if (gs->msg_ids_in) free((void*) gs->msg_ids_in);
924     if (gs->msg_ids_out) free((void*) gs->msg_ids_out);
925     if (gs->pw_vals) free((void*) gs->pw_vals);
926     if (gs->pw_elm_list) free((void*) gs->pw_elm_list);
927     if (gs->node_list) {
928       for (i=0;i<gs->num_pairs;i++) {
929         if (gs->node_list[i])  {
930           free((void*) gs->node_list[i]);
931         }
932       }
933       free((void*) gs->node_list);
934     }
935     if (gs->msg_sizes) free((void*) gs->msg_sizes);
936     if (gs->pair_list) free((void*) gs->pair_list);
937   }
938 
939   /* local info */
940   if (gs->num_local_total>=0) {
941     for (i=0;i<gs->num_local_total+1;i++) {
942       if (gs->num_gop_local_reduce[i]) free((void*) gs->gop_local_reduce[i]);
943     }
944   }
945 
946   /* if intersection tree/pairwise and local isn't empty */
947   if (gs->gop_local_reduce) free((void*) gs->gop_local_reduce);
948   if (gs->num_gop_local_reduce) free((void*) gs->num_gop_local_reduce);
949 
950   free((void*) gs);
951   PetscFunctionReturn(0);
952 }
953 
954 /******************************************************************************/
955 PetscErrorCode PCTFS_gs_gop_vec(PCTFS_gs_id *gs,  PetscScalar *vals,  const char *op,  PetscInt step)
956 {
957   PetscErrorCode ierr;
958 
959   PetscFunctionBegin;
960   switch (*op) {
961   case '+':
962     PCTFS_gs_gop_vec_plus(gs,vals,step);
963     break;
964   default:
965     ierr = PetscInfo1(0,"PCTFS_gs_gop_vec() :: %c is not a valid op\n",op[0]);CHKERRQ(ierr);
966     ierr = PetscInfo(0,"PCTFS_gs_gop_vec() :: default :: plus\n");CHKERRQ(ierr);
967     PCTFS_gs_gop_vec_plus(gs,vals,step);
968     break;
969   }
970   PetscFunctionReturn(0);
971 }
972 
973 /******************************************************************************/
974 static PetscErrorCode PCTFS_gs_gop_vec_plus(PCTFS_gs_id *gs,  PetscScalar *vals,  PetscInt step)
975 {
976   PetscFunctionBegin;
977   if (!gs) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"PCTFS_gs_gop_vec() passed NULL gs handle!!!");
978 
979   /* local only operations!!! */
980   if (gs->num_local) PCTFS_gs_gop_vec_local_plus(gs,vals,step);
981 
982   /* if intersection tree/pairwise and local isn't empty */
983   if (gs->num_local_gop) {
984     PCTFS_gs_gop_vec_local_in_plus(gs,vals,step);
985 
986     /* pairwise */
987     if (gs->num_pairs) PCTFS_gs_gop_vec_pairwise_plus(gs,vals,step);
988 
989     /* tree */
990     else if (gs->max_left_over) PCTFS_gs_gop_vec_tree_plus(gs,vals,step);
991 
992     PCTFS_gs_gop_vec_local_out(gs,vals,step);
993   } else { /* if intersection tree/pairwise and local is empty */
994     /* pairwise */
995     if (gs->num_pairs) PCTFS_gs_gop_vec_pairwise_plus(gs,vals,step);
996 
997     /* tree */
998     else if (gs->max_left_over) PCTFS_gs_gop_vec_tree_plus(gs,vals,step);
999   }
1000   PetscFunctionReturn(0);
1001 }
1002 
1003 /******************************************************************************/
1004 static PetscErrorCode PCTFS_gs_gop_vec_local_plus(PCTFS_gs_id *gs,  PetscScalar *vals, PetscInt step)
1005 {
1006   PetscInt    *num, *map, **reduce;
1007   PetscScalar *base;
1008 
1009   PetscFunctionBegin;
1010   num    = gs->num_local_reduce;
1011   reduce = gs->local_reduce;
1012   while ((map = *reduce)) {
1013     base = vals + map[0] * step;
1014 
1015     /* wall */
1016     if (*num == 2) {
1017       num++; reduce++;
1018       PCTFS_rvec_add (base,vals+map[1]*step,step);
1019       PCTFS_rvec_copy(vals+map[1]*step,base,step);
1020     } else if (*num == 3) { /* corner shared by three elements */
1021       num++; reduce++;
1022       PCTFS_rvec_add (base,vals+map[1]*step,step);
1023       PCTFS_rvec_add (base,vals+map[2]*step,step);
1024       PCTFS_rvec_copy(vals+map[2]*step,base,step);
1025       PCTFS_rvec_copy(vals+map[1]*step,base,step);
1026     } else if (*num == 4) { /* corner shared by four elements */
1027       num++; reduce++;
1028       PCTFS_rvec_add (base,vals+map[1]*step,step);
1029       PCTFS_rvec_add (base,vals+map[2]*step,step);
1030       PCTFS_rvec_add (base,vals+map[3]*step,step);
1031       PCTFS_rvec_copy(vals+map[3]*step,base,step);
1032       PCTFS_rvec_copy(vals+map[2]*step,base,step);
1033       PCTFS_rvec_copy(vals+map[1]*step,base,step);
1034     } else { /* general case ... odd geoms ... 3D */
1035       num++;
1036       while (*++map >= 0) PCTFS_rvec_add (base,vals+*map*step,step);
1037 
1038       map = *reduce;
1039       while (*++map >= 0) PCTFS_rvec_copy(vals+*map*step,base,step);
1040 
1041       reduce++;
1042     }
1043   }
1044   PetscFunctionReturn(0);
1045 }
1046 
1047 /******************************************************************************/
1048 static PetscErrorCode PCTFS_gs_gop_vec_local_in_plus(PCTFS_gs_id *gs,  PetscScalar *vals, PetscInt step)
1049 {
1050   PetscInt    *num, *map, **reduce;
1051   PetscScalar *base;
1052 
1053   PetscFunctionBegin;
1054   num    = gs->num_gop_local_reduce;
1055   reduce = gs->gop_local_reduce;
1056   while ((map = *reduce++)) {
1057     base = vals + map[0] * step;
1058 
1059     /* wall */
1060     if (*num == 2) {
1061       num++;
1062       PCTFS_rvec_add(base,vals+map[1]*step,step);
1063     } else if (*num == 3) { /* corner shared by three elements */
1064       num++;
1065       PCTFS_rvec_add(base,vals+map[1]*step,step);
1066       PCTFS_rvec_add(base,vals+map[2]*step,step);
1067     } else if (*num == 4) { /* corner shared by four elements */
1068       num++;
1069       PCTFS_rvec_add(base,vals+map[1]*step,step);
1070       PCTFS_rvec_add(base,vals+map[2]*step,step);
1071       PCTFS_rvec_add(base,vals+map[3]*step,step);
1072     } else { /* general case ... odd geoms ... 3D*/
1073       num++;
1074       while (*++map >= 0) PCTFS_rvec_add(base,vals+*map*step,step);
1075     }
1076   }
1077   PetscFunctionReturn(0);
1078 }
1079 
1080 /******************************************************************************/
1081 static PetscErrorCode PCTFS_gs_gop_vec_local_out(PCTFS_gs_id *gs,  PetscScalar *vals, PetscInt step)
1082 {
1083   PetscInt    *num, *map, **reduce;
1084   PetscScalar *base;
1085 
1086   PetscFunctionBegin;
1087   num    = gs->num_gop_local_reduce;
1088   reduce = gs->gop_local_reduce;
1089   while ((map = *reduce++)) {
1090     base = vals + map[0] * step;
1091 
1092     /* wall */
1093     if (*num == 2) {
1094       num++;
1095       PCTFS_rvec_copy(vals+map[1]*step,base,step);
1096     } else if (*num == 3) { /* corner shared by three elements */
1097       num++;
1098       PCTFS_rvec_copy(vals+map[1]*step,base,step);
1099       PCTFS_rvec_copy(vals+map[2]*step,base,step);
1100     } else if (*num == 4) { /* corner shared by four elements */
1101       num++;
1102       PCTFS_rvec_copy(vals+map[1]*step,base,step);
1103       PCTFS_rvec_copy(vals+map[2]*step,base,step);
1104       PCTFS_rvec_copy(vals+map[3]*step,base,step);
1105     } else { /* general case ... odd geoms ... 3D*/
1106       num++;
1107       while (*++map >= 0) PCTFS_rvec_copy(vals+*map*step,base,step);
1108     }
1109   }
1110   PetscFunctionReturn(0);
1111 }
1112 
1113 /******************************************************************************/
1114 static PetscErrorCode PCTFS_gs_gop_vec_pairwise_plus(PCTFS_gs_id *gs,  PetscScalar *in_vals, PetscInt step)
1115 {
1116   PetscScalar    *dptr1, *dptr2, *dptr3, *in1, *in2;
1117   PetscInt       *iptr, *msg_list, *msg_size, **msg_nodes;
1118   PetscInt       *pw, *list, *size, **nodes;
1119   MPI_Request    *msg_ids_in, *msg_ids_out, *ids_in, *ids_out;
1120   MPI_Status     status;
1121   PetscBLASInt   i1 = 1,dstep;
1122   PetscErrorCode ierr;
1123 
1124   PetscFunctionBegin;
1125   /* strip and load s */
1126   msg_list    = list     = gs->pair_list;
1127   msg_size    = size     = gs->msg_sizes;
1128   msg_nodes   = nodes    = gs->node_list;
1129   iptr        = pw       = gs->pw_elm_list;
1130   dptr1       = dptr3    = gs->pw_vals;
1131   msg_ids_in  = ids_in   = gs->msg_ids_in;
1132   msg_ids_out = ids_out  = gs->msg_ids_out;
1133   dptr2                  = gs->out;
1134   in1=in2                = gs->in;
1135 
1136   /* post the receives */
1137   /*  msg_nodes=nodes; */
1138   do {
1139     /* Should MPI_ANY_SOURCE be replaced by *list ? In that case do the
1140         second one *list and do list++ afterwards */
1141     ierr = MPI_Irecv(in1, *size *step, MPIU_SCALAR, MPI_ANY_SOURCE, MSGTAG1 + *list, gs->PCTFS_gs_comm, msg_ids_in);CHKERRMPI(ierr);
1142     list++;msg_ids_in++;
1143     in1 += *size++ *step;
1144   } while (*++msg_nodes);
1145   msg_nodes=nodes;
1146 
1147   /* load gs values into in out gs buffers */
1148   while (*iptr >= 0) {
1149     PCTFS_rvec_copy(dptr3,in_vals + *iptr*step,step);
1150     dptr3+=step;
1151     iptr++;
1152   }
1153 
1154   /* load out buffers and post the sends */
1155   while ((iptr = *msg_nodes++)) {
1156     dptr3 = dptr2;
1157     while (*iptr >= 0) {
1158       PCTFS_rvec_copy(dptr2,dptr1 + *iptr*step,step);
1159       dptr2+=step;
1160       iptr++;
1161     }
1162     ierr = MPI_Isend(dptr3, *msg_size *step, MPIU_SCALAR, *msg_list, MSGTAG1+PCTFS_my_id, gs->PCTFS_gs_comm, msg_ids_out);CHKERRMPI(ierr);
1163     msg_size++; msg_list++;msg_ids_out++;
1164   }
1165 
1166   /* tree */
1167   if (gs->max_left_over) PCTFS_gs_gop_vec_tree_plus(gs,in_vals,step);
1168 
1169   /* process the received data */
1170   msg_nodes=nodes;
1171   while ((iptr = *nodes++)) {
1172     PetscScalar d1 = 1.0;
1173 
1174     /* Should I check the return value of MPI_Wait() or status? */
1175     /* Can this loop be replaced by a call to MPI_Waitall()? */
1176     ierr = MPI_Wait(ids_in, &status);CHKERRMPI(ierr);
1177     ids_in++;
1178     while (*iptr >= 0) {
1179       ierr = PetscBLASIntCast(step,&dstep);CHKERRQ(ierr);
1180       PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&dstep,&d1,in2,&i1,dptr1 + *iptr*step,&i1));
1181       in2+=step;
1182       iptr++;
1183     }
1184   }
1185 
1186   /* replace vals */
1187   while (*pw >= 0) {
1188     PCTFS_rvec_copy(in_vals + *pw*step,dptr1,step);
1189     dptr1+=step;
1190     pw++;
1191   }
1192 
1193   /* clear isend message handles */
1194   /* This changed for clarity though it could be the same */
1195 
1196   /* Should I check the return value of MPI_Wait() or status? */
1197   /* Can this loop be replaced by a call to MPI_Waitall()? */
1198   while (*msg_nodes++) {
1199     ierr = MPI_Wait(ids_out, &status);CHKERRMPI(ierr);
1200     ids_out++;
1201   }
1202   PetscFunctionReturn(0);
1203 }
1204 
1205 /******************************************************************************/
1206 static PetscErrorCode PCTFS_gs_gop_vec_tree_plus(PCTFS_gs_id *gs,  PetscScalar *vals,  PetscInt step)
1207 {
1208   PetscInt       size, *in, *out;
1209   PetscScalar    *buf, *work;
1210   PetscInt       op[] = {GL_ADD,0};
1211   PetscBLASInt   i1   = 1;
1212   PetscErrorCode ierr;
1213   PetscBLASInt   dstep;
1214 
1215   PetscFunctionBegin;
1216   /* copy over to local variables */
1217   in   = gs->tree_map_in;
1218   out  = gs->tree_map_out;
1219   buf  = gs->tree_buf;
1220   work = gs->tree_work;
1221   size = gs->tree_nel*step;
1222 
1223   /* zero out collection buffer */
1224   PCTFS_rvec_zero(buf,size);
1225 
1226   /* copy over my contributions */
1227   while (*in >= 0) {
1228     ierr = PetscBLASIntCast(step,&dstep);CHKERRQ(ierr);
1229     PetscStackCallBLAS("BLAScopy",BLAScopy_(&dstep,vals + *in++ * step,&i1,buf + *out++ * step,&i1));
1230   }
1231 
1232   /* perform fan in/out on full buffer */
1233   /* must change PCTFS_grop to handle the blas */
1234   PCTFS_grop(buf,work,size,op);
1235 
1236   /* reset */
1237   in  = gs->tree_map_in;
1238   out = gs->tree_map_out;
1239 
1240   /* get the portion of the results I need */
1241   while (*in >= 0) {
1242     ierr = PetscBLASIntCast(step,&dstep);CHKERRQ(ierr);
1243     PetscStackCallBLAS("BLAScopy",BLAScopy_(&dstep,buf + *out++ * step,&i1,vals + *in++ * step,&i1));
1244   }
1245   PetscFunctionReturn(0);
1246 }
1247 
1248 /******************************************************************************/
1249 PetscErrorCode PCTFS_gs_gop_hc(PCTFS_gs_id *gs,  PetscScalar *vals,  const char *op,  PetscInt dim)
1250 {
1251   PetscErrorCode ierr;
1252 
1253   PetscFunctionBegin;
1254   switch (*op) {
1255   case '+':
1256     PCTFS_gs_gop_plus_hc(gs,vals,dim);
1257     break;
1258   default:
1259     ierr = PetscInfo1(0,"PCTFS_gs_gop_hc() :: %c is not a valid op\n",op[0]);CHKERRQ(ierr);
1260     ierr = PetscInfo(0,"PCTFS_gs_gop_hc() :: default :: plus\n");CHKERRQ(ierr);
1261     PCTFS_gs_gop_plus_hc(gs,vals,dim);
1262     break;
1263   }
1264   PetscFunctionReturn(0);
1265 }
1266 
1267 /******************************************************************************/
1268 static PetscErrorCode PCTFS_gs_gop_plus_hc(PCTFS_gs_id *gs,  PetscScalar *vals, PetscInt dim)
1269 {
1270   PetscFunctionBegin;
1271   /* if there's nothing to do return */
1272   if (dim<=0) PetscFunctionReturn(0);
1273 
1274   /* can't do more dimensions then exist */
1275   dim = PetscMin(dim,PCTFS_i_log2_num_nodes);
1276 
1277   /* local only operations!!! */
1278   if (gs->num_local) PCTFS_gs_gop_local_plus(gs,vals);
1279 
1280   /* if intersection tree/pairwise and local isn't empty */
1281   if (gs->num_local_gop) {
1282     PCTFS_gs_gop_local_in_plus(gs,vals);
1283 
1284     /* pairwise will do tree inside ... */
1285     if (gs->num_pairs) PCTFS_gs_gop_pairwise_plus_hc(gs,vals,dim); /* tree only */
1286     else if (gs->max_left_over) PCTFS_gs_gop_tree_plus_hc(gs,vals,dim);
1287 
1288     PCTFS_gs_gop_local_out(gs,vals);
1289   } else { /* if intersection tree/pairwise and local is empty */
1290     /* pairwise will do tree inside */
1291     if (gs->num_pairs) PCTFS_gs_gop_pairwise_plus_hc(gs,vals,dim); /* tree */
1292     else if (gs->max_left_over) PCTFS_gs_gop_tree_plus_hc(gs,vals,dim);
1293   }
1294   PetscFunctionReturn(0);
1295 }
1296 
1297 /******************************************************************************/
1298 static PetscErrorCode PCTFS_gs_gop_pairwise_plus_hc(PCTFS_gs_id *gs,  PetscScalar *in_vals, PetscInt dim)
1299 {
1300   PetscScalar    *dptr1, *dptr2, *dptr3, *in1, *in2;
1301   PetscInt       *iptr, *msg_list, *msg_size, **msg_nodes;
1302   PetscInt       *pw, *list, *size, **nodes;
1303   MPI_Request    *msg_ids_in, *msg_ids_out, *ids_in, *ids_out;
1304   MPI_Status     status;
1305   PetscInt       i, mask=1;
1306   PetscErrorCode ierr;
1307 
1308   PetscFunctionBegin;
1309   for (i=1; i<dim; i++) { mask<<=1; mask++; }
1310 
1311   /* strip and load s */
1312   msg_list    = list     = gs->pair_list;
1313   msg_size    = size     = gs->msg_sizes;
1314   msg_nodes   = nodes    = gs->node_list;
1315   iptr        = pw       = gs->pw_elm_list;
1316   dptr1       = dptr3    = gs->pw_vals;
1317   msg_ids_in  = ids_in   = gs->msg_ids_in;
1318   msg_ids_out = ids_out  = gs->msg_ids_out;
1319   dptr2       = gs->out;
1320   in1         = in2      = gs->in;
1321 
1322   /* post the receives */
1323   /*  msg_nodes=nodes; */
1324   do {
1325     /* Should MPI_ANY_SOURCE be replaced by *list ? In that case do the
1326         second one *list and do list++ afterwards */
1327     if ((PCTFS_my_id|mask)==(*list|mask)) {
1328       ierr = MPI_Irecv(in1, *size, MPIU_SCALAR, MPI_ANY_SOURCE, MSGTAG1 + *list, gs->PCTFS_gs_comm, msg_ids_in);CHKERRMPI(ierr);
1329       list++; msg_ids_in++;in1 += *size++;
1330     } else { list++; size++; }
1331   } while (*++msg_nodes);
1332 
1333   /* load gs values into in out gs buffers */
1334   while (*iptr >= 0) *dptr3++ = *(in_vals + *iptr++);
1335 
1336   /* load out buffers and post the sends */
1337   msg_nodes=nodes;
1338   list     = msg_list;
1339   while ((iptr = *msg_nodes++)) {
1340     if ((PCTFS_my_id|mask)==(*list|mask)) {
1341       dptr3 = dptr2;
1342       while (*iptr >= 0) *dptr2++ = *(dptr1 + *iptr++);
1343       /* CHECK PERSISTENT COMMS MODE FOR ALL THIS STUFF */
1344       /* is msg_ids_out++ correct? */
1345       ierr = MPI_Isend(dptr3, *msg_size, MPIU_SCALAR, *list, MSGTAG1+PCTFS_my_id, gs->PCTFS_gs_comm, msg_ids_out);CHKERRMPI(ierr);
1346       msg_size++;list++;msg_ids_out++;
1347     } else {list++; msg_size++;}
1348   }
1349 
1350   /* do the tree while we're waiting */
1351   if (gs->max_left_over) PCTFS_gs_gop_tree_plus_hc(gs,in_vals,dim);
1352 
1353   /* process the received data */
1354   msg_nodes=nodes;
1355   list     = msg_list;
1356   while ((iptr = *nodes++)) {
1357     if ((PCTFS_my_id|mask)==(*list|mask)) {
1358       /* Should I check the return value of MPI_Wait() or status? */
1359       /* Can this loop be replaced by a call to MPI_Waitall()? */
1360       ierr = MPI_Wait(ids_in, &status);CHKERRMPI(ierr);
1361       ids_in++;
1362       while (*iptr >= 0) *(dptr1 + *iptr++) += *in2++;
1363     }
1364     list++;
1365   }
1366 
1367   /* replace vals */
1368   while (*pw >= 0) *(in_vals + *pw++) = *dptr1++;
1369 
1370   /* clear isend message handles */
1371   /* This changed for clarity though it could be the same */
1372   while (*msg_nodes++) {
1373     if ((PCTFS_my_id|mask)==(*msg_list|mask)) {
1374       /* Should I check the return value of MPI_Wait() or status? */
1375       /* Can this loop be replaced by a call to MPI_Waitall()? */
1376       ierr = MPI_Wait(ids_out, &status);CHKERRMPI(ierr);
1377       ids_out++;
1378     }
1379     msg_list++;
1380   }
1381   PetscFunctionReturn(0);
1382 }
1383 
1384 /******************************************************************************/
1385 static PetscErrorCode PCTFS_gs_gop_tree_plus_hc(PCTFS_gs_id *gs, PetscScalar *vals, PetscInt dim)
1386 {
1387   PetscInt    size;
1388   PetscInt    *in, *out;
1389   PetscScalar *buf, *work;
1390   PetscInt    op[] = {GL_ADD,0};
1391 
1392   PetscFunctionBegin;
1393   in   = gs->tree_map_in;
1394   out  = gs->tree_map_out;
1395   buf  = gs->tree_buf;
1396   work = gs->tree_work;
1397   size = gs->tree_nel;
1398 
1399   PCTFS_rvec_zero(buf,size);
1400 
1401   while (*in >= 0) *(buf + *out++) = *(vals + *in++);
1402 
1403   in  = gs->tree_map_in;
1404   out = gs->tree_map_out;
1405 
1406   PCTFS_grop_hc(buf,work,size,op,dim);
1407 
1408   while (*in >= 0) *(vals + *in++) = *(buf + *out++);
1409   PetscFunctionReturn(0);
1410 }
1411 
1412