Actual source code: xyt.c


  2: /*************************************xyt.c************************************
  3: Module Name: xyt
  4: Module Info:

  6: author:  Henry M. Tufo III
  7: e-mail:  hmt@asci.uchicago.edu
  8: contact:
  9: +--------------------------------+--------------------------------+
 10: |MCS Division - Building 221     |Department of Computer Science  |
 11: |Argonne National Laboratory     |Ryerson 152                     |
 12: |9700 S. Cass Avenue             |The University of Chicago       |
 13: |Argonne, IL  60439              |Chicago, IL  60637              |
 14: |(630) 252-5354/5986 ph/fx       |(773) 702-6019/8487 ph/fx       |
 15: +--------------------------------+--------------------------------+

 17: Last Modification: 3.20.01
 18: **************************************xyt.c***********************************/
 19: #include <../src/ksp/pc/impls/tfs/tfs.h>

 21: #define LEFT  -1
 22: #define RIGHT  1
 23: #define BOTH   0

 25: typedef struct xyt_solver_info {
 26:   PetscInt    n, m, n_global, m_global;
 27:   PetscInt    nnz, max_nnz, msg_buf_sz;
 28:   PetscInt    *nsep, *lnsep, *fo, nfo, *stages;
 29:   PetscInt    *xcol_sz, *xcol_indices;
 30:   PetscScalar **xcol_vals, *x, *solve_uu, *solve_w;
 31:   PetscInt    *ycol_sz, *ycol_indices;
 32:   PetscScalar **ycol_vals, *y;
 33:   PetscInt    nsolves;
 34:   PetscScalar tot_solve_time;
 35: } xyt_info;

 37: typedef struct matvec_info {
 38:   PetscInt     n, m, n_global, m_global;
 39:   PetscInt     *local2global;
 40:   PCTFS_gs_ADT PCTFS_gs_handle;
 41:   PetscErrorCode (*matvec)(struct matvec_info*,PetscScalar*,PetscScalar*);
 42:   void *grid_data;
 43: } mv_info;

 45: struct xyt_CDT {
 46:   PetscInt id;
 47:   PetscInt ns;
 48:   PetscInt level;
 49:   xyt_info *info;
 50:   mv_info  *mvi;
 51: };

 53: static PetscInt n_xyt        =0;
 54: static PetscInt n_xyt_handles=0;

 56: /* prototypes */
 57: static PetscErrorCode do_xyt_solve(xyt_ADT xyt_handle, PetscScalar *rhs);
 58: static PetscErrorCode check_handle(xyt_ADT xyt_handle);
 59: static PetscErrorCode det_separators(xyt_ADT xyt_handle);
 60: static PetscErrorCode do_matvec(mv_info *A, PetscScalar *v, PetscScalar *u);
 61: static PetscErrorCode xyt_generate(xyt_ADT xyt_handle);
 62: static PetscErrorCode do_xyt_factor(xyt_ADT xyt_handle);
 63: static mv_info *set_mvi(PetscInt *local2global, PetscInt n, PetscInt m, PetscErrorCode (*matvec)(mv_info*,PetscScalar*,PetscScalar*), void *grid_data);

 65: /**************************************xyt.c***********************************/
 66: xyt_ADT XYT_new(void)
 67: {
 68:   xyt_ADT xyt_handle;

 70:   /* rolling count on n_xyt ... pot. problem here */
 71:   n_xyt_handles++;
 72:   xyt_handle       = (xyt_ADT)malloc(sizeof(struct xyt_CDT));
 73:   xyt_handle->id   = ++n_xyt;
 74:   xyt_handle->info = NULL;
 75:   xyt_handle->mvi  = NULL;

 77:   return(xyt_handle);
 78: }

 80: /**************************************xyt.c***********************************/
 81: PetscErrorCode XYT_factor(xyt_ADT xyt_handle,     /* prev. allocated xyt  handle */
 82:                     PetscInt *local2global, /* global column mapping       */
 83:                     PetscInt n,             /* local num rows              */
 84:                     PetscInt m,             /* local num cols              */
 85:                     PetscErrorCode (*matvec)(void*,PetscScalar*,PetscScalar*), /* b_loc=A_local.x_loc         */
 86:                     void *grid_data)        /* grid data for matvec        */
 87: {

 89:   PCTFS_comm_init();
 90:   check_handle(xyt_handle);

 92:   /* only 2^k for now and all nodes participating */
 93:   if ((1<<(xyt_handle->level=PCTFS_i_log2_num_nodes))!=PCTFS_num_nodes) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"only 2^k for now and MPI_COMM_WORLD!!! %D != %D\n",1<<PCTFS_i_log2_num_nodes,PCTFS_num_nodes);

 95:   /* space for X info */
 96:   xyt_handle->info = (xyt_info*)malloc(sizeof(xyt_info));

 98:   /* set up matvec handles */
 99:   xyt_handle->mvi = set_mvi(local2global, n, m, (PetscErrorCode (*)(mv_info*,PetscScalar*,PetscScalar*))matvec, grid_data);

101:   /* matrix is assumed to be of full rank */
102:   /* LATER we can reset to indicate rank def. */
103:   xyt_handle->ns=0;

105:   /* determine separators and generate firing order - NB xyt info set here */
106:   det_separators(xyt_handle);

108:   return(do_xyt_factor(xyt_handle));
109: }

111: /**************************************xyt.c***********************************/
112: PetscErrorCode XYT_solve(xyt_ADT xyt_handle, PetscScalar *x, PetscScalar *b)
113: {
114:   PCTFS_comm_init();
115:   check_handle(xyt_handle);

117:   /* need to copy b into x? */
118:   if (b) PCTFS_rvec_copy(x,b,xyt_handle->mvi->n);
119:   return do_xyt_solve(xyt_handle,x);
120: }

122: /**************************************xyt.c***********************************/
123: PetscErrorCode XYT_free(xyt_ADT xyt_handle)
124: {
125:   PCTFS_comm_init();
126:   check_handle(xyt_handle);
127:   n_xyt_handles--;

129:   free(xyt_handle->info->nsep);
130:   free(xyt_handle->info->lnsep);
131:   free(xyt_handle->info->fo);
132:   free(xyt_handle->info->stages);
133:   free(xyt_handle->info->solve_uu);
134:   free(xyt_handle->info->solve_w);
135:   free(xyt_handle->info->x);
136:   free(xyt_handle->info->xcol_vals);
137:   free(xyt_handle->info->xcol_sz);
138:   free(xyt_handle->info->xcol_indices);
139:   free(xyt_handle->info->y);
140:   free(xyt_handle->info->ycol_vals);
141:   free(xyt_handle->info->ycol_sz);
142:   free(xyt_handle->info->ycol_indices);
143:   free(xyt_handle->info);
144:   free(xyt_handle->mvi->local2global);
145:   PCTFS_gs_free(xyt_handle->mvi->PCTFS_gs_handle);
146:   free(xyt_handle->mvi);
147:   free(xyt_handle);

149:   /* if the check fails we nuke */
150:   /* if NULL pointer passed to free we nuke */
151:   /* if the calls to free fail that's not my problem */
152:   return(0);
153: }

155: /**************************************xyt.c***********************************/
156: PetscErrorCode XYT_stats(xyt_ADT xyt_handle)
157: {
158:   PetscInt    op[]  = {NON_UNIFORM,GL_MIN,GL_MAX,GL_ADD,GL_MIN,GL_MAX,GL_ADD,GL_MIN,GL_MAX,GL_ADD};
159:   PetscInt    fop[] = {NON_UNIFORM,GL_MIN,GL_MAX,GL_ADD};
160:   PetscInt    vals[9],  work[9];
161:   PetscScalar fvals[3], fwork[3];

163:   PCTFS_comm_init();
164:   check_handle(xyt_handle);

166:   /* if factorization not done there are no stats */
167:   if (!xyt_handle->info||!xyt_handle->mvi) {
168:     if (!PCTFS_my_id) PetscPrintf(PETSC_COMM_WORLD,"XYT_stats() :: no stats available!\n");
169:     return 1;
170:   }

172:   vals[0]=vals[1]=vals[2]=xyt_handle->info->nnz;
173:   vals[3]=vals[4]=vals[5]=xyt_handle->mvi->n;
174:   vals[6]=vals[7]=vals[8]=xyt_handle->info->msg_buf_sz;
175:   PCTFS_giop(vals,work,sizeof(op)/sizeof(op[0])-1,op);

177:   fvals[0]=fvals[1]=fvals[2]=xyt_handle->info->tot_solve_time/xyt_handle->info->nsolves++;
178:   PCTFS_grop(fvals,fwork,sizeof(fop)/sizeof(fop[0])-1,fop);

180:   if (!PCTFS_my_id) {
181:     PetscPrintf(PETSC_COMM_WORLD,"%D :: min   xyt_nnz=%D\n",PCTFS_my_id,vals[0]);
182:     PetscPrintf(PETSC_COMM_WORLD,"%D :: max   xyt_nnz=%D\n",PCTFS_my_id,vals[1]);
183:     PetscPrintf(PETSC_COMM_WORLD,"%D :: avg   xyt_nnz=%g\n",PCTFS_my_id,1.0*vals[2]/PCTFS_num_nodes);
184:     PetscPrintf(PETSC_COMM_WORLD,"%D :: tot   xyt_nnz=%D\n",PCTFS_my_id,vals[2]);
185:     PetscPrintf(PETSC_COMM_WORLD,"%D :: xyt   C(2d)  =%g\n",PCTFS_my_id,vals[2]/(PetscPowReal(1.0*vals[5],1.5)));
186:     PetscPrintf(PETSC_COMM_WORLD,"%D :: xyt   C(3d)  =%g\n",PCTFS_my_id,vals[2]/(PetscPowReal(1.0*vals[5],1.6667)));
187:     PetscPrintf(PETSC_COMM_WORLD,"%D :: min   xyt_n  =%D\n",PCTFS_my_id,vals[3]);
188:     PetscPrintf(PETSC_COMM_WORLD,"%D :: max   xyt_n  =%D\n",PCTFS_my_id,vals[4]);
189:     PetscPrintf(PETSC_COMM_WORLD,"%D :: avg   xyt_n  =%g\n",PCTFS_my_id,1.0*vals[5]/PCTFS_num_nodes);
190:     PetscPrintf(PETSC_COMM_WORLD,"%D :: tot   xyt_n  =%D\n",PCTFS_my_id,vals[5]);
191:     PetscPrintf(PETSC_COMM_WORLD,"%D :: min   xyt_buf=%D\n",PCTFS_my_id,vals[6]);
192:     PetscPrintf(PETSC_COMM_WORLD,"%D :: max   xyt_buf=%D\n",PCTFS_my_id,vals[7]);
193:     PetscPrintf(PETSC_COMM_WORLD,"%D :: avg   xyt_buf=%g\n",PCTFS_my_id,1.0*vals[8]/PCTFS_num_nodes);
194:     PetscPrintf(PETSC_COMM_WORLD,"%D :: min   xyt_slv=%g\n",PCTFS_my_id,fvals[0]);
195:     PetscPrintf(PETSC_COMM_WORLD,"%D :: max   xyt_slv=%g\n",PCTFS_my_id,fvals[1]);
196:     PetscPrintf(PETSC_COMM_WORLD,"%D :: avg   xyt_slv=%g\n",PCTFS_my_id,fvals[2]/PCTFS_num_nodes);
197:   }

199:   return(0);
200: }

202: /*************************************xyt.c************************************

204: Description: get A_local, local portion of global coarse matrix which
205: is a row dist. nxm matrix w/ n<m.
206:    o my_ml holds address of ML struct associated w/A_local and coarse grid
207:    o local2global holds global number of column i (i=0,...,m-1)
208:    o local2global holds global number of row    i (i=0,...,n-1)
209:    o mylocmatvec performs A_local . vec_local (note that gs is performed using
210:    PCTFS_gs_init/gop).

212: mylocmatvec = my_ml->Amat[grid_tag].matvec->external;
213: mylocmatvec (void :: void *data, double *in, double *out)
214: **************************************xyt.c***********************************/
215: static PetscErrorCode do_xyt_factor(xyt_ADT xyt_handle)
216: {
217:   return xyt_generate(xyt_handle);
218: }

220: /**************************************xyt.c***********************************/
221: static PetscErrorCode xyt_generate(xyt_ADT xyt_handle)
222: {
223:   PetscInt       i,j,k,idx;
224:   PetscInt       dim, col;
225:   PetscScalar    *u, *uu, *v, *z, *w, alpha, alpha_w;
226:   PetscInt       *segs;
227:   PetscInt       op[] = {GL_ADD,0};
228:   PetscInt       off, len;
229:   PetscScalar    *x_ptr, *y_ptr;
230:   PetscInt       *iptr, flag;
231:   PetscInt       start =0, end, work;
232:   PetscInt       op2[] = {GL_MIN,0};
233:   PCTFS_gs_ADT   PCTFS_gs_handle;
234:   PetscInt       *nsep, *lnsep, *fo;
235:   PetscInt       a_n            =xyt_handle->mvi->n;
236:   PetscInt       a_m            =xyt_handle->mvi->m;
237:   PetscInt       *a_local2global=xyt_handle->mvi->local2global;
238:   PetscInt       level;
239:   PetscInt       n, m;
240:   PetscInt       *xcol_sz, *xcol_indices, *stages;
241:   PetscScalar    **xcol_vals, *x;
242:   PetscInt       *ycol_sz, *ycol_indices;
243:   PetscScalar    **ycol_vals, *y;
244:   PetscInt       n_global;
245:   PetscInt       xt_nnz       =0, xt_max_nnz=0;
246:   PetscInt       yt_nnz       =0, yt_max_nnz=0;
247:   PetscInt       xt_zero_nnz  =0;
248:   PetscInt       xt_zero_nnz_0=0;
249:   PetscInt       yt_zero_nnz  =0;
250:   PetscInt       yt_zero_nnz_0=0;
251:   PetscBLASInt   i1           = 1,dlen;
252:   PetscScalar    dm1          = -1.0;

255:   n              =xyt_handle->mvi->n;
256:   nsep           =xyt_handle->info->nsep;
257:   lnsep          =xyt_handle->info->lnsep;
258:   fo             =xyt_handle->info->fo;
259:   end            =lnsep[0];
260:   level          =xyt_handle->level;
261:   PCTFS_gs_handle=xyt_handle->mvi->PCTFS_gs_handle;

263:   /* is there a null space? */
264:   /* LATER add in ability to detect null space by checking alpha */
265:   for (i=0, j=0; i<=level; i++) j+=nsep[i];

267:   m = j-xyt_handle->ns;
268:   if (m!=j) {
269:     PetscPrintf(PETSC_COMM_WORLD,"xyt_generate() :: null space exists %D %D %D\n",m,j,xyt_handle->ns);
270:   }

272:   PetscInfo2(0,"xyt_generate() :: X(%D,%D)\n",n,m);

274:   /* get and initialize storage for x local         */
275:   /* note that x local is nxm and stored by columns */
276:   xcol_sz      = (PetscInt*) malloc(m*sizeof(PetscInt));
277:   xcol_indices = (PetscInt*) malloc((2*m+1)*sizeof(PetscInt));
278:   xcol_vals    = (PetscScalar**) malloc(m*sizeof(PetscScalar*));
279:   for (i=j=0; i<m; i++, j+=2) {
280:     xcol_indices[j]=xcol_indices[j+1]=xcol_sz[i]=-1;
281:     xcol_vals[i]   = NULL;
282:   }
283:   xcol_indices[j]=-1;

285:   /* get and initialize storage for y local         */
286:   /* note that y local is nxm and stored by columns */
287:   ycol_sz      = (PetscInt*) malloc(m*sizeof(PetscInt));
288:   ycol_indices = (PetscInt*) malloc((2*m+1)*sizeof(PetscInt));
289:   ycol_vals    = (PetscScalar**) malloc(m*sizeof(PetscScalar*));
290:   for (i=j=0; i<m; i++, j+=2) {
291:     ycol_indices[j]=ycol_indices[j+1]=ycol_sz[i]=-1;
292:     ycol_vals[i]   = NULL;
293:   }
294:   ycol_indices[j]=-1;

296:   /* size of separators for each sub-hc working from bottom of tree to top */
297:   /* this looks like nsep[]=segments */
298:   stages = (PetscInt*) malloc((level+1)*sizeof(PetscInt));
299:   segs   = (PetscInt*) malloc((level+1)*sizeof(PetscInt));
300:   PCTFS_ivec_zero(stages,level+1);
301:   PCTFS_ivec_copy(segs,nsep,level+1);
302:   for (i=0; i<level; i++) segs[i+1] += segs[i];
303:   stages[0] = segs[0];

305:   /* temporary vectors  */
306:   u  = (PetscScalar*) malloc(n*sizeof(PetscScalar));
307:   z  = (PetscScalar*) malloc(n*sizeof(PetscScalar));
308:   v  = (PetscScalar*) malloc(a_m*sizeof(PetscScalar));
309:   uu = (PetscScalar*) malloc(m*sizeof(PetscScalar));
310:   w  = (PetscScalar*) malloc(m*sizeof(PetscScalar));

312:   /* extra nnz due to replication of vertices across separators */
313:   for (i=1, j=0; i<=level; i++) j+=nsep[i];

315:   /* storage for sparse x values */
316:   n_global   = xyt_handle->info->n_global;
317:   xt_max_nnz = yt_max_nnz = (PetscInt)(2.5*PetscPowReal(1.0*n_global,1.6667) + j*n/2)/PCTFS_num_nodes;
318:   x          = (PetscScalar*) malloc(xt_max_nnz*sizeof(PetscScalar));
319:   y          = (PetscScalar*) malloc(yt_max_nnz*sizeof(PetscScalar));

321:   /* LATER - can embed next sep to fire in gs */
322:   /* time to make the donuts - generate X factor */
323:   for (dim=i=j=0; i<m; i++) {
324:     /* time to move to the next level? */
325:     while (i==segs[dim]) {
326:       if (dim==level) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"dim about to exceed level\n");
327:       stages[dim++]=i;
328:       end         +=lnsep[dim];
329:     }
330:     stages[dim]=i;

332:     /* which column are we firing? */
333:     /* i.e. set v_l */
334:     /* use new seps and do global min across hc to determine which one to fire */
335:     (start<end) ? (col=fo[start]) : (col=INT_MAX);
336:     PCTFS_giop_hc(&col,&work,1,op2,dim);

338:     /* shouldn't need this */
339:     if (col==INT_MAX) {
340:       PetscInfo(0,"hey ... col==INT_MAX??\n");
341:       continue;
342:     }

344:     /* do I own it? I should */
345:     PCTFS_rvec_zero(v,a_m);
346:     if (col==fo[start]) {
347:       start++;
348:       idx=PCTFS_ivec_linear_search(col, a_local2global, a_n);
349:       if (idx!=-1) {
350:         v[idx] = 1.0;
351:         j++;
352:       } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"NOT FOUND!\n");
353:     } else {
354:       idx=PCTFS_ivec_linear_search(col, a_local2global, a_m);
355:       if (idx!=-1) v[idx] = 1.0;
356:     }

358:     /* perform u = A.v_l */
359:     PCTFS_rvec_zero(u,n);
360:     do_matvec(xyt_handle->mvi,v,u);

362:     /* uu =  X^T.u_l (local portion) */
363:     /* technically only need to zero out first i entries */
364:     /* later turn this into an XYT_solve call ? */
365:     PCTFS_rvec_zero(uu,m);
366:     y_ptr=y;
367:     iptr = ycol_indices;
368:     for (k=0; k<i; k++) {
369:       off   = *iptr++;
370:       len   = *iptr++;
371:       PetscBLASIntCast(len,&dlen);
372:       PetscStackCallBLAS("BLASdot",uu[k] = BLASdot_(&dlen,u+off,&i1,y_ptr,&i1));
373:       y_ptr+=len;
374:     }

376:     /* uu = X^T.u_l (comm portion) */
377:     PCTFS_ssgl_radd  (uu, w, dim, stages);

379:     /* z = X.uu */
380:     PCTFS_rvec_zero(z,n);
381:     x_ptr=x;
382:     iptr = xcol_indices;
383:     for (k=0; k<i; k++) {
384:       off  = *iptr++;
385:       len  = *iptr++;
386:       PetscBLASIntCast(len,&dlen);
387:       PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&dlen,&uu[k],x_ptr,&i1,z+off,&i1));
388:       x_ptr+=len;
389:     }

391:     /* compute v_l = v_l - z */
392:     PCTFS_rvec_zero(v+a_n,a_m-a_n);
393:     PetscBLASIntCast(n,&dlen);
394:     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&dlen,&dm1,z,&i1,v,&i1));

396:     /* compute u_l = A.v_l */
397:     if (a_n!=a_m) PCTFS_gs_gop_hc(PCTFS_gs_handle,v,"+\0",dim);
398:     PCTFS_rvec_zero(u,n);
399:     do_matvec(xyt_handle->mvi,v,u);

401:     /* compute sqrt(alpha) = sqrt(u_l^T.u_l) - local portion */
402:     PetscBLASIntCast(n,&dlen);
403:     PetscStackCallBLAS("BLASdot",alpha = BLASdot_(&dlen,u,&i1,u,&i1));
404:     /* compute sqrt(alpha) = sqrt(u_l^T.u_l) - comm portion */
405:     PCTFS_grop_hc(&alpha, &alpha_w, 1, op, dim);

407:     alpha = (PetscScalar) PetscSqrtReal((PetscReal)alpha);

409:     /* check for small alpha                             */
410:     /* LATER use this to detect and determine null space */
411:     if (PetscAbsScalar(alpha)<1.0e-14) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"bad alpha! %g\n",alpha);

413:     /* compute v_l = v_l/sqrt(alpha) */
414:     PCTFS_rvec_scale(v,1.0/alpha,n);
415:     PCTFS_rvec_scale(u,1.0/alpha,n);

417:     /* add newly generated column, v_l, to X */
418:     flag = 1;
419:     off  =len=0;
420:     for (k=0; k<n; k++) {
421:       if (v[k]!=0.0) {
422:         len=k;
423:         if (flag) {off=k; flag=0;}
424:       }
425:     }

427:     len -= (off-1);

429:     if (len>0) {
430:       if ((xt_nnz+len)>xt_max_nnz) {
431:         PetscInfo(0,"increasing space for X by 2x!\n");
432:         xt_max_nnz *= 2;
433:         x_ptr       = (PetscScalar*) malloc(xt_max_nnz*sizeof(PetscScalar));
434:         PCTFS_rvec_copy(x_ptr,x,xt_nnz);
435:         free(x);
436:         x     = x_ptr;
437:         x_ptr+=xt_nnz;
438:       }
439:       xt_nnz += len;
440:       PCTFS_rvec_copy(x_ptr,v+off,len);

442:       /* keep track of number of zeros */
443:       if (dim) {
444:         for (k=0; k<len; k++) {
445:           if (x_ptr[k]==0.0) xt_zero_nnz++;
446:         }
447:       } else {
448:         for (k=0; k<len; k++) {
449:           if (x_ptr[k]==0.0) xt_zero_nnz_0++;
450:         }
451:       }
452:       xcol_indices[2*i] = off;
453:       xcol_sz[i]        = xcol_indices[2*i+1] = len;
454:       xcol_vals[i]      = x_ptr;
455:     } else {
456:       xcol_indices[2*i] = 0;
457:       xcol_sz[i]        = xcol_indices[2*i+1] = 0;
458:       xcol_vals[i]      = x_ptr;
459:     }

461:     /* add newly generated column, u_l, to Y */
462:     flag = 1;
463:     off  =len=0;
464:     for (k=0; k<n; k++) {
465:       if (u[k]!=0.0) {
466:         len=k;
467:         if (flag) { off=k; flag=0; }
468:       }
469:     }

471:     len -= (off-1);

473:     if (len>0) {
474:       if ((yt_nnz+len)>yt_max_nnz) {
475:         PetscInfo(0,"increasing space for Y by 2x!\n");
476:         yt_max_nnz *= 2;
477:         y_ptr       = (PetscScalar*) malloc(yt_max_nnz*sizeof(PetscScalar));
478:         PCTFS_rvec_copy(y_ptr,y,yt_nnz);
479:         free(y);
480:         y     = y_ptr;
481:         y_ptr+=yt_nnz;
482:       }
483:       yt_nnz += len;
484:       PCTFS_rvec_copy(y_ptr,u+off,len);

486:       /* keep track of number of zeros */
487:       if (dim) {
488:         for (k=0; k<len; k++) {
489:           if (y_ptr[k]==0.0) yt_zero_nnz++;
490:         }
491:       } else {
492:         for (k=0; k<len; k++) {
493:           if (y_ptr[k]==0.0) yt_zero_nnz_0++;
494:         }
495:       }
496:       ycol_indices[2*i] = off;
497:       ycol_sz[i]        = ycol_indices[2*i+1] = len;
498:       ycol_vals[i]      = y_ptr;
499:     } else {
500:       ycol_indices[2*i] = 0;
501:       ycol_sz[i]        = ycol_indices[2*i+1] = 0;
502:       ycol_vals[i]      = y_ptr;
503:     }
504:   }

506:   /* close off stages for execution phase */
507:   while (dim!=level) {
508:     stages[dim++]=i;
509:     PetscInfo2(0,"disconnected!!! dim(%D)!=level(%D)\n",dim,level);
510:   }
511:   stages[dim]=i;

513:   xyt_handle->info->n           =xyt_handle->mvi->n;
514:   xyt_handle->info->m           =m;
515:   xyt_handle->info->nnz         =xt_nnz + yt_nnz;
516:   xyt_handle->info->max_nnz     =xt_max_nnz + yt_max_nnz;
517:   xyt_handle->info->msg_buf_sz  =stages[level]-stages[0];
518:   xyt_handle->info->solve_uu    = (PetscScalar*) malloc(m*sizeof(PetscScalar));
519:   xyt_handle->info->solve_w     = (PetscScalar*) malloc(m*sizeof(PetscScalar));
520:   xyt_handle->info->x           =x;
521:   xyt_handle->info->xcol_vals   =xcol_vals;
522:   xyt_handle->info->xcol_sz     =xcol_sz;
523:   xyt_handle->info->xcol_indices=xcol_indices;
524:   xyt_handle->info->stages      =stages;
525:   xyt_handle->info->y           =y;
526:   xyt_handle->info->ycol_vals   =ycol_vals;
527:   xyt_handle->info->ycol_sz     =ycol_sz;
528:   xyt_handle->info->ycol_indices=ycol_indices;

530:   free(segs);
531:   free(u);
532:   free(v);
533:   free(uu);
534:   free(z);
535:   free(w);

537:   return(0);
538: }

540: /**************************************xyt.c***********************************/
541: static PetscErrorCode do_xyt_solve(xyt_ADT xyt_handle,  PetscScalar *uc)
542: {
543:   PetscInt       off, len, *iptr;
544:   PetscInt       level        =xyt_handle->level;
545:   PetscInt       n            =xyt_handle->info->n;
546:   PetscInt       m            =xyt_handle->info->m;
547:   PetscInt       *stages      =xyt_handle->info->stages;
548:   PetscInt       *xcol_indices=xyt_handle->info->xcol_indices;
549:   PetscInt       *ycol_indices=xyt_handle->info->ycol_indices;
550:   PetscScalar    *x_ptr, *y_ptr, *uu_ptr;
551:   PetscScalar    *solve_uu=xyt_handle->info->solve_uu;
552:   PetscScalar    *solve_w =xyt_handle->info->solve_w;
553:   PetscScalar    *x       =xyt_handle->info->x;
554:   PetscScalar    *y       =xyt_handle->info->y;
555:   PetscBLASInt   i1       = 1,dlen;

559:   uu_ptr=solve_uu;
560:   PCTFS_rvec_zero(uu_ptr,m);

562:   /* x  = X.Y^T.b */
563:   /* uu = Y^T.b */
564:   for (y_ptr=y,iptr=ycol_indices; *iptr!=-1; y_ptr+=len) {
565:     off       =*iptr++;
566:     len       =*iptr++;
567:     PetscBLASIntCast(len,&dlen);
568:     PetscStackCallBLAS("BLASdot",*uu_ptr++ = BLASdot_(&dlen,uc+off,&i1,y_ptr,&i1));
569:   }

571:   /* comunication of beta */
572:   uu_ptr=solve_uu;
573:   if (level) {PCTFS_ssgl_radd(uu_ptr, solve_w, level, stages);}
574:   PCTFS_rvec_zero(uc,n);

576:   /* x = X.uu */
577:   for (x_ptr=x,iptr=xcol_indices; *iptr!=-1; x_ptr+=len) {
578:     off  =*iptr++;
579:     len  =*iptr++;
580:     PetscBLASIntCast(len,&dlen);
581:     PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&dlen,uu_ptr++,x_ptr,&i1,uc+off,&i1));
582:   }
583:   return(0);
584: }

586: /**************************************xyt.c***********************************/
587: static PetscErrorCode check_handle(xyt_ADT xyt_handle)
588: {
589:   PetscInt vals[2], work[2], op[] = {NON_UNIFORM,GL_MIN,GL_MAX};

592:   if (!xyt_handle) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"check_handle() :: bad handle :: NULL %D\n",xyt_handle);

594:   vals[0]=vals[1]=xyt_handle->id;
595:   PCTFS_giop(vals,work,sizeof(op)/sizeof(op[0])-1,op);
596:   if ((vals[0]!=vals[1])||(xyt_handle->id<=0)) SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"check_handle() :: bad handle :: id mismatch min/max %D/%D %D\n", vals[0],vals[1], xyt_handle->id);
597:   return(0);
598: }

600: /**************************************xyt.c***********************************/
601: static PetscErrorCode det_separators(xyt_ADT xyt_handle)
602: {
603:   PetscInt       i, ct, id;
604:   PetscInt       mask, edge, *iptr;
605:   PetscInt       *dir, *used;
606:   PetscInt       sum[4], w[4];
607:   PetscScalar    rsum[4], rw[4];
608:   PetscInt       op[] = {GL_ADD,0};
609:   PetscScalar    *lhs, *rhs;
610:   PetscInt       *nsep, *lnsep, *fo, nfo=0;
611:   PCTFS_gs_ADT   PCTFS_gs_handle=xyt_handle->mvi->PCTFS_gs_handle;
612:   PetscInt       *local2global  =xyt_handle->mvi->local2global;
613:   PetscInt       n              =xyt_handle->mvi->n;
614:   PetscInt       m              =xyt_handle->mvi->m;
615:   PetscInt       level          =xyt_handle->level;
616:   PetscInt       shared         =0;

620:   dir  = (PetscInt*)malloc(sizeof(PetscInt)*(level+1));
621:   nsep = (PetscInt*)malloc(sizeof(PetscInt)*(level+1));
622:   lnsep= (PetscInt*)malloc(sizeof(PetscInt)*(level+1));
623:   fo   = (PetscInt*)malloc(sizeof(PetscInt)*(n+1));
624:   used = (PetscInt*)malloc(sizeof(PetscInt)*n);

626:   PCTFS_ivec_zero(dir,level+1);
627:   PCTFS_ivec_zero(nsep,level+1);
628:   PCTFS_ivec_zero(lnsep,level+1);
629:   PCTFS_ivec_set (fo,-1,n+1);
630:   PCTFS_ivec_zero(used,n);

632:   lhs = (PetscScalar*)malloc(sizeof(PetscScalar)*m);
633:   rhs = (PetscScalar*)malloc(sizeof(PetscScalar)*m);

635:   /* determine the # of unique dof */
636:   PCTFS_rvec_zero(lhs,m);
637:   PCTFS_rvec_set(lhs,1.0,n);
638:   PCTFS_gs_gop_hc(PCTFS_gs_handle,lhs,"+\0",level);
639:   PetscInfo(0,"done first PCTFS_gs_gop_hc\n");
640:   PCTFS_rvec_zero(rsum,2);
641:   for (i=0; i<n; i++) {
642:     if (lhs[i]!=0.0) { rsum[0]+=1.0/lhs[i]; rsum[1]+=lhs[i]; }
643:     if (lhs[i]!=1.0) shared=1;
644:   }

646:   PCTFS_grop_hc(rsum,rw,2,op,level);
647:   rsum[0]+=0.1;
648:   rsum[1]+=0.1;

650:   xyt_handle->info->n_global=xyt_handle->info->m_global=(PetscInt) rsum[0];
651:   xyt_handle->mvi->n_global =xyt_handle->mvi->m_global =(PetscInt) rsum[0];

653:   /* determine separator sets top down */
654:   if (shared) {
655:     /* solution is to do as in the symmetric shared case but then */
656:     /* pick the sub-hc with the most free dofs and do a mat-vec   */
657:     /* and pick up the responses on the other sub-hc from the     */
658:     /* initial separator set obtained from the symm. shared case  */
659:     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"shared dof separator determination not ready ... see hmt!!!\n");
660:     /* [dead code deleted since it is unlikely to be completed] */
661:   } else {
662:     for (iptr=fo+n,id=PCTFS_my_id,mask=PCTFS_num_nodes>>1,edge=level;edge>0;edge--,mask>>=1) {
663:       /* set rsh of hc, fire, and collect lhs responses */
664:       (id<mask) ? PCTFS_rvec_zero(lhs,m) : PCTFS_rvec_set(lhs,1.0,m);
665:       PCTFS_gs_gop_hc(PCTFS_gs_handle,lhs,"+\0",edge);

667:       /* set lsh of hc, fire, and collect rhs responses */
668:       (id<mask) ? PCTFS_rvec_set(rhs,1.0,m) : PCTFS_rvec_zero(rhs,m);
669:       PCTFS_gs_gop_hc(PCTFS_gs_handle,rhs,"+\0",edge);

671:       /* count number of dofs I own that have signal and not in sep set */
672:       for (PCTFS_ivec_zero(sum,4),ct=i=0;i<n;i++) {
673:         if (!used[i]) {
674:           /* number of unmarked dofs on node */
675:           ct++;
676:           /* number of dofs to be marked on lhs hc */
677:           if ((id< mask)&&(lhs[i]!=0.0)) sum[0]++;
678:           /* number of dofs to be marked on rhs hc */
679:           if ((id>=mask)&&(rhs[i]!=0.0)) sum[1]++;
680:         }
681:       }

683:       /* for the non-symmetric case we need separators of width 2 */
684:       /* so take both sides */
685:       (id<mask) ? (sum[2]=ct) : (sum[3]=ct);
686:       PCTFS_giop_hc(sum,w,4,op,edge);

688:       ct=0;
689:       if (id<mask) {
690:         /* mark dofs I own that have signal and not in sep set */
691:         for (i=0;i<n;i++) {
692:           if ((!used[i])&&(lhs[i]!=0.0)) {
693:             ct++; nfo++;
694:             *--iptr = local2global[i];
695:             used[i] =edge;
696:           }
697:         }
698:         /* LSH hc summation of ct should be sum[0] */
699:       } else {
700:         /* mark dofs I own that have signal and not in sep set */
701:         for (i=0; i<n; i++) {
702:           if ((!used[i])&&(rhs[i]!=0.0)) {
703:             ct++; nfo++;
704:             *--iptr = local2global[i];
705:             used[i] = edge;
706:           }
707:         }
708:         /* RSH hc summation of ct should be sum[1] */
709:       }

711:       if (ct>1) PCTFS_ivec_sort(iptr,ct);
712:       lnsep[edge]=ct;
713:       nsep[edge] =sum[0]+sum[1];
714:       dir [edge] =BOTH;

716:       /* LATER or we can recur on these to order seps at this level */
717:       /* do we need full set of separators for this?                */

719:       /* fold rhs hc into lower */
720:       if (id>=mask) id-=mask;
721:     }
722:   }

724:   /* level 0 is on processor case - so mark the remainder */
725:   for (ct=i=0;i<n;i++) {
726:     if (!used[i]) {
727:       ct++; nfo++;
728:       *--iptr = local2global[i];
729:       used[i] = edge;
730:     }
731:   }
732:   if (ct>1) PCTFS_ivec_sort(iptr,ct);
733:   lnsep[edge]=ct;
734:   nsep [edge]=ct;
735:   dir  [edge]=BOTH;

737:   xyt_handle->info->nsep  = nsep;
738:   xyt_handle->info->lnsep = lnsep;
739:   xyt_handle->info->fo    = fo;
740:   xyt_handle->info->nfo   = nfo;

742:   free(dir);
743:   free(lhs);
744:   free(rhs);
745:   free(used);
746:   return(0);
747: }

749: /**************************************xyt.c***********************************/
750: static mv_info *set_mvi(PetscInt *local2global, PetscInt n, PetscInt m, PetscErrorCode (*matvec)(mv_info*,PetscScalar*,PetscScalar*), void *grid_data)
751: {
752:   mv_info *mvi;

754:   mvi              = (mv_info*)malloc(sizeof(mv_info));
755:   mvi->n           = n;
756:   mvi->m           = m;
757:   mvi->n_global    = -1;
758:   mvi->m_global    = -1;
759:   mvi->local2global= (PetscInt*)malloc((m+1)*sizeof(PetscInt));

761:   PCTFS_ivec_copy(mvi->local2global,local2global,m);
762:   mvi->local2global[m] = INT_MAX;
763:   mvi->matvec          = matvec;
764:   mvi->grid_data       = grid_data;

766:   /* set xyt communication handle to perform restricted matvec */
767:   mvi->PCTFS_gs_handle = PCTFS_gs_init(local2global, m, PCTFS_num_nodes);

769:   return(mvi);
770: }

772: /**************************************xyt.c***********************************/
773: static PetscErrorCode do_matvec(mv_info *A, PetscScalar *v, PetscScalar *u)
774: {
776:   A->matvec((mv_info*)A->grid_data,v,u);
777:   return(0);
778: }