Actual source code: xxt.c
petsc-3.13.6 2020-09-29
2: /*************************************xxt.c************************************
3: Module Name: xxt
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: **************************************xxt.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 xxt_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 *col_sz, *col_indices;
30: PetscScalar **col_vals, *x, *solve_uu, *solve_w;
31: PetscInt nsolves;
32: PetscScalar tot_solve_time;
33: } xxt_info;
35: typedef struct matvec_info {
36: PetscInt n, m, n_global, m_global;
37: PetscInt *local2global;
38: PCTFS_gs_ADT PCTFS_gs_handle;
39: PetscErrorCode (*matvec)(struct matvec_info*,PetscScalar*,PetscScalar*);
40: void *grid_data;
41: } mv_info;
43: struct xxt_CDT {
44: PetscInt id;
45: PetscInt ns;
46: PetscInt level;
47: xxt_info *info;
48: mv_info *mvi;
49: };
51: static PetscInt n_xxt =0;
52: static PetscInt n_xxt_handles=0;
54: /* prototypes */
55: static PetscErrorCode do_xxt_solve(xxt_ADT xxt_handle, PetscScalar *rhs);
56: static PetscErrorCode check_handle(xxt_ADT xxt_handle);
57: static PetscErrorCode det_separators(xxt_ADT xxt_handle);
58: static PetscErrorCode do_matvec(mv_info *A, PetscScalar *v, PetscScalar *u);
59: static PetscErrorCode xxt_generate(xxt_ADT xxt_handle);
60: static PetscErrorCode do_xxt_factor(xxt_ADT xxt_handle);
61: static mv_info *set_mvi(PetscInt *local2global, PetscInt n, PetscInt m, PetscErrorCode (*matvec)(mv_info*,PetscScalar*,PetscScalar*), void *grid_data);
63: /**************************************xxt.c***********************************/
64: xxt_ADT XXT_new(void)
65: {
66: xxt_ADT xxt_handle;
68: /* rolling count on n_xxt ... pot. problem here */
69: n_xxt_handles++;
70: xxt_handle = (xxt_ADT)malloc(sizeof(struct xxt_CDT));
71: xxt_handle->id = ++n_xxt;
72: xxt_handle->info = NULL; xxt_handle->mvi = NULL;
74: return(xxt_handle);
75: }
77: /**************************************xxt.c***********************************/
78: PetscErrorCode XXT_factor(xxt_ADT xxt_handle, /* prev. allocated xxt handle */
79: PetscInt *local2global, /* global column mapping */
80: PetscInt n, /* local num rows */
81: PetscInt m, /* local num cols */
82: PetscErrorCode (*matvec)(void*,PetscScalar*,PetscScalar*), /* b_loc=A_local.x_loc */
83: void *grid_data) /* grid data for matvec */
84: {
85: PCTFS_comm_init();
86: check_handle(xxt_handle);
88: /* only 2^k for now and all nodes participating */
89: if ((1<<(xxt_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);
91: /* space for X info */
92: xxt_handle->info = (xxt_info*)malloc(sizeof(xxt_info));
94: /* set up matvec handles */
95: xxt_handle->mvi = set_mvi(local2global, n, m, (PetscErrorCode (*)(mv_info*,PetscScalar*,PetscScalar*))matvec, grid_data);
97: /* matrix is assumed to be of full rank */
98: /* LATER we can reset to indicate rank def. */
99: xxt_handle->ns=0;
101: /* determine separators and generate firing order - NB xxt info set here */
102: det_separators(xxt_handle);
104: return(do_xxt_factor(xxt_handle));
105: }
107: /**************************************xxt.c***********************************/
108: PetscErrorCode XXT_solve(xxt_ADT xxt_handle, PetscScalar *x, PetscScalar *b)
109: {
111: PCTFS_comm_init();
112: check_handle(xxt_handle);
114: /* need to copy b into x? */
115: if (b) PCTFS_rvec_copy(x,b,xxt_handle->mvi->n);
116: return do_xxt_solve(xxt_handle,x);
117: }
119: /**************************************xxt.c***********************************/
120: PetscInt XXT_free(xxt_ADT xxt_handle)
121: {
123: PCTFS_comm_init();
124: check_handle(xxt_handle);
125: n_xxt_handles--;
127: free(xxt_handle->info->nsep);
128: free(xxt_handle->info->lnsep);
129: free(xxt_handle->info->fo);
130: free(xxt_handle->info->stages);
131: free(xxt_handle->info->solve_uu);
132: free(xxt_handle->info->solve_w);
133: free(xxt_handle->info->x);
134: free(xxt_handle->info->col_vals);
135: free(xxt_handle->info->col_sz);
136: free(xxt_handle->info->col_indices);
137: free(xxt_handle->info);
138: free(xxt_handle->mvi->local2global);
139: PCTFS_gs_free(xxt_handle->mvi->PCTFS_gs_handle);
140: free(xxt_handle->mvi);
141: free(xxt_handle);
143: /* if the check fails we nuke */
144: /* if NULL pointer passed to free we nuke */
145: /* if the calls to free fail that's not my problem */
146: return(0);
147: }
149: /**************************************xxt.c***********************************/
150: PetscErrorCode XXT_stats(xxt_ADT xxt_handle)
151: {
152: PetscInt op[] = {NON_UNIFORM,GL_MIN,GL_MAX,GL_ADD,GL_MIN,GL_MAX,GL_ADD,GL_MIN,GL_MAX,GL_ADD};
153: PetscInt fop[] = {NON_UNIFORM,GL_MIN,GL_MAX,GL_ADD};
154: PetscInt vals[9], work[9];
155: PetscScalar fvals[3], fwork[3];
158: PCTFS_comm_init();
159: check_handle(xxt_handle);
161: /* if factorization not done there are no stats */
162: if (!xxt_handle->info||!xxt_handle->mvi) {
163: if (!PCTFS_my_id) { PetscPrintf(PETSC_COMM_WORLD,"XXT_stats() :: no stats available!\n"); }
164: return 1;
165: }
167: vals[0]=vals[1]=vals[2]=xxt_handle->info->nnz;
168: vals[3]=vals[4]=vals[5]=xxt_handle->mvi->n;
169: vals[6]=vals[7]=vals[8]=xxt_handle->info->msg_buf_sz;
170: PCTFS_giop(vals,work,sizeof(op)/sizeof(op[0])-1,op);
172: fvals[0]=fvals[1]=fvals[2] =xxt_handle->info->tot_solve_time/xxt_handle->info->nsolves++;
173: PCTFS_grop(fvals,fwork,sizeof(fop)/sizeof(fop[0])-1,fop);
175: if (!PCTFS_my_id) {
176: PetscPrintf(PETSC_COMM_WORLD,"%D :: min xxt_nnz=%D\n",PCTFS_my_id,vals[0]);
177: PetscPrintf(PETSC_COMM_WORLD,"%D :: max xxt_nnz=%D\n",PCTFS_my_id,vals[1]);
178: PetscPrintf(PETSC_COMM_WORLD,"%D :: avg xxt_nnz=%g\n",PCTFS_my_id,1.0*vals[2]/PCTFS_num_nodes);
179: PetscPrintf(PETSC_COMM_WORLD,"%D :: tot xxt_nnz=%D\n",PCTFS_my_id,vals[2]);
180: PetscPrintf(PETSC_COMM_WORLD,"%D :: xxt C(2d) =%g\n",PCTFS_my_id,vals[2]/(PetscPowReal(1.0*vals[5],1.5)));
181: PetscPrintf(PETSC_COMM_WORLD,"%D :: xxt C(3d) =%g\n",PCTFS_my_id,vals[2]/(PetscPowReal(1.0*vals[5],1.6667)));
182: PetscPrintf(PETSC_COMM_WORLD,"%D :: min xxt_n =%D\n",PCTFS_my_id,vals[3]);
183: PetscPrintf(PETSC_COMM_WORLD,"%D :: max xxt_n =%D\n",PCTFS_my_id,vals[4]);
184: PetscPrintf(PETSC_COMM_WORLD,"%D :: avg xxt_n =%g\n",PCTFS_my_id,1.0*vals[5]/PCTFS_num_nodes);
185: PetscPrintf(PETSC_COMM_WORLD,"%D :: tot xxt_n =%D\n",PCTFS_my_id,vals[5]);
186: PetscPrintf(PETSC_COMM_WORLD,"%D :: min xxt_buf=%D\n",PCTFS_my_id,vals[6]);
187: PetscPrintf(PETSC_COMM_WORLD,"%D :: max xxt_buf=%D\n",PCTFS_my_id,vals[7]);
188: PetscPrintf(PETSC_COMM_WORLD,"%D :: avg xxt_buf=%g\n",PCTFS_my_id,1.0*vals[8]/PCTFS_num_nodes);
189: PetscPrintf(PETSC_COMM_WORLD,"%D :: min xxt_slv=%g\n",PCTFS_my_id,fvals[0]);
190: PetscPrintf(PETSC_COMM_WORLD,"%D :: max xxt_slv=%g\n",PCTFS_my_id,fvals[1]);
191: PetscPrintf(PETSC_COMM_WORLD,"%D :: avg xxt_slv=%g\n",PCTFS_my_id,fvals[2]/PCTFS_num_nodes);
192: }
194: return(0);
195: }
197: /*************************************xxt.c************************************
199: Description: get A_local, local portion of global coarse matrix which
200: is a row dist. nxm matrix w/ n<m.
201: o my_ml holds address of ML struct associated w/A_local and coarse grid
202: o local2global holds global number of column i (i=0,...,m-1)
203: o local2global holds global number of row i (i=0,...,n-1)
204: o mylocmatvec performs A_local . vec_local (note that gs is performed using
205: PCTFS_gs_init/gop).
207: mylocmatvec = my_ml->Amat[grid_tag].matvec->external;
208: mylocmatvec (void :: void *data, double *in, double *out)
209: **************************************xxt.c***********************************/
210: static PetscErrorCode do_xxt_factor(xxt_ADT xxt_handle)
211: {
212: return xxt_generate(xxt_handle);
213: }
215: /**************************************xxt.c***********************************/
216: static PetscErrorCode xxt_generate(xxt_ADT xxt_handle)
217: {
218: PetscInt i,j,k,idex;
219: PetscInt dim, col;
220: PetscScalar *u, *uu, *v, *z, *w, alpha, alpha_w;
221: PetscInt *segs;
222: PetscInt op[] = {GL_ADD,0};
223: PetscInt off, len;
224: PetscScalar *x_ptr;
225: PetscInt *iptr, flag;
226: PetscInt start =0, end, work;
227: PetscInt op2[] = {GL_MIN,0};
228: PCTFS_gs_ADT PCTFS_gs_handle;
229: PetscInt *nsep, *lnsep, *fo;
230: PetscInt a_n =xxt_handle->mvi->n;
231: PetscInt a_m =xxt_handle->mvi->m;
232: PetscInt *a_local2global=xxt_handle->mvi->local2global;
233: PetscInt level;
234: PetscInt xxt_nnz=0, xxt_max_nnz=0;
235: PetscInt n, m;
236: PetscInt *col_sz, *col_indices, *stages;
237: PetscScalar **col_vals, *x;
238: PetscInt n_global;
239: PetscInt xxt_zero_nnz =0;
240: PetscInt xxt_zero_nnz_0=0;
241: PetscBLASInt i1 = 1,dlen;
242: PetscScalar dm1 = -1.0;
245: n = xxt_handle->mvi->n;
246: nsep = xxt_handle->info->nsep;
247: lnsep = xxt_handle->info->lnsep;
248: fo = xxt_handle->info->fo;
249: end = lnsep[0];
250: level = xxt_handle->level;
251: PCTFS_gs_handle = xxt_handle->mvi->PCTFS_gs_handle;
253: /* is there a null space? */
254: /* LATER add in ability to detect null space by checking alpha */
255: for (i=0, j=0; i<=level; i++) j+=nsep[i];
257: m = j-xxt_handle->ns;
258: if (m!=j) {
259: PetscPrintf(PETSC_COMM_WORLD,"xxt_generate() :: null space exists %D %D %D\n",m,j,xxt_handle->ns);
260: }
262: /* get and initialize storage for x local */
263: /* note that x local is nxm and stored by columns */
264: col_sz = (PetscInt*) malloc(m*sizeof(PetscInt));
265: col_indices = (PetscInt*) malloc((2*m+1)*sizeof(PetscInt));
266: col_vals = (PetscScalar**) malloc(m*sizeof(PetscScalar*));
267: for (i=j=0; i<m; i++, j+=2) {
268: col_indices[j]=col_indices[j+1]=col_sz[i]=-1;
269: col_vals[i] = NULL;
270: }
271: col_indices[j]=-1;
273: /* size of separators for each sub-hc working from bottom of tree to top */
274: /* this looks like nsep[]=segments */
275: stages = (PetscInt*) malloc((level+1)*sizeof(PetscInt));
276: segs = (PetscInt*) malloc((level+1)*sizeof(PetscInt));
277: PCTFS_ivec_zero(stages,level+1);
278: PCTFS_ivec_copy(segs,nsep,level+1);
279: for (i=0; i<level; i++) segs[i+1] += segs[i];
280: stages[0] = segs[0];
282: /* temporary vectors */
283: u = (PetscScalar*) malloc(n*sizeof(PetscScalar));
284: z = (PetscScalar*) malloc(n*sizeof(PetscScalar));
285: v = (PetscScalar*) malloc(a_m*sizeof(PetscScalar));
286: uu = (PetscScalar*) malloc(m*sizeof(PetscScalar));
287: w = (PetscScalar*) malloc(m*sizeof(PetscScalar));
289: /* extra nnz due to replication of vertices across separators */
290: for (i=1, j=0; i<=level; i++) j+=nsep[i];
292: /* storage for sparse x values */
293: n_global = xxt_handle->info->n_global;
294: xxt_max_nnz = (PetscInt)(2.5*PetscPowReal(1.0*n_global,1.6667) + j*n/2)/PCTFS_num_nodes;
295: x = (PetscScalar*) malloc(xxt_max_nnz*sizeof(PetscScalar));
296: xxt_nnz = 0;
298: /* LATER - can embed next sep to fire in gs */
299: /* time to make the donuts - generate X factor */
300: for (dim=i=j=0; i<m; i++) {
301: /* time to move to the next level? */
302: while (i==segs[dim]) {
303: if (dim==level) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"dim about to exceed level\n");
304: stages[dim++]=i;
305: end +=lnsep[dim];
306: }
307: stages[dim]=i;
309: /* which column are we firing? */
310: /* i.e. set v_l */
311: /* use new seps and do global min across hc to determine which one to fire */
312: (start<end) ? (col=fo[start]) : (col=INT_MAX);
313: PCTFS_giop_hc(&col,&work,1,op2,dim);
315: /* shouldn't need this */
316: if (col==INT_MAX) {
317: PetscInfo(0,"hey ... col==INT_MAX??\n");
318: continue;
319: }
321: /* do I own it? I should */
322: PCTFS_rvec_zero(v,a_m);
323: if (col==fo[start]) {
324: start++;
325: idex=PCTFS_ivec_linear_search(col, a_local2global, a_n);
326: if (idex!=-1) {
327: v[idex] = 1.0; j++;
328: } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"NOT FOUND!\n");
329: } else {
330: idex=PCTFS_ivec_linear_search(col, a_local2global, a_m);
331: if (idex!=-1) v[idex] = 1.0;
332: }
334: /* perform u = A.v_l */
335: PCTFS_rvec_zero(u,n);
336: do_matvec(xxt_handle->mvi,v,u);
338: /* uu = X^T.u_l (local portion) */
339: /* technically only need to zero out first i entries */
340: /* later turn this into an XXT_solve call ? */
341: PCTFS_rvec_zero(uu,m);
342: x_ptr=x;
343: iptr = col_indices;
344: for (k=0; k<i; k++) {
345: off = *iptr++;
346: len = *iptr++;
347: PetscBLASIntCast(len,&dlen);
348: PetscStackCallBLAS("BLASdot",uu[k] = BLASdot_(&dlen,u+off,&i1,x_ptr,&i1));
349: x_ptr+=len;
350: }
353: /* uu = X^T.u_l (comm portion) */
354: PCTFS_ssgl_radd (uu, w, dim, stages);
356: /* z = X.uu */
357: PCTFS_rvec_zero(z,n);
358: x_ptr=x;
359: iptr = col_indices;
360: for (k=0; k<i; k++) {
361: off = *iptr++;
362: len = *iptr++;
363: PetscBLASIntCast(len,&dlen);
364: PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&dlen,&uu[k],x_ptr,&i1,z+off,&i1));
365: x_ptr+=len;
366: }
368: /* compute v_l = v_l - z */
369: PCTFS_rvec_zero(v+a_n,a_m-a_n);
370: PetscBLASIntCast(n,&dlen);
371: PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&dlen,&dm1,z,&i1,v,&i1));
373: /* compute u_l = A.v_l */
374: if (a_n!=a_m) PCTFS_gs_gop_hc(PCTFS_gs_handle,v,"+\0",dim);
375: PCTFS_rvec_zero(u,n);
376: do_matvec(xxt_handle->mvi,v,u);
378: /* compute sqrt(alpha) = sqrt(v_l^T.u_l) - local portion */
379: PetscBLASIntCast(n,&dlen);
380: PetscStackCallBLAS("BLASdot",alpha = BLASdot_(&dlen,u,&i1,v,&i1));
381: /* compute sqrt(alpha) = sqrt(v_l^T.u_l) - comm portion */
382: PCTFS_grop_hc(&alpha, &alpha_w, 1, op, dim);
384: alpha = (PetscScalar) PetscSqrtReal((PetscReal)alpha);
386: /* check for small alpha */
387: /* LATER use this to detect and determine null space */
388: if (PetscAbsScalar(alpha)<1.0e-14) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"bad alpha! %g\n",alpha);
390: /* compute v_l = v_l/sqrt(alpha) */
391: PCTFS_rvec_scale(v,1.0/alpha,n);
393: /* add newly generated column, v_l, to X */
394: flag = 1;
395: off=len=0;
396: for (k=0; k<n; k++) {
397: if (v[k]!=0.0) {
398: len=k;
399: if (flag) { off=k; flag=0; }
400: }
401: }
403: len -= (off-1);
405: if (len>0) {
406: if ((xxt_nnz+len)>xxt_max_nnz) {
407: PetscInfo(0,"increasing space for X by 2x!\n");
408: xxt_max_nnz *= 2;
409: x_ptr = (PetscScalar*) malloc(xxt_max_nnz*sizeof(PetscScalar));
410: PCTFS_rvec_copy(x_ptr,x,xxt_nnz);
411: free(x);
412: x = x_ptr;
413: x_ptr+=xxt_nnz;
414: }
415: xxt_nnz += len;
416: PCTFS_rvec_copy(x_ptr,v+off,len);
418: /* keep track of number of zeros */
419: if (dim) {
420: for (k=0; k<len; k++) {
421: if (x_ptr[k]==0.0) xxt_zero_nnz++;
422: }
423: } else {
424: for (k=0; k<len; k++) {
425: if (x_ptr[k]==0.0) xxt_zero_nnz_0++;
426: }
427: }
428: col_indices[2*i] = off;
429: col_sz[i] = col_indices[2*i+1] = len;
430: col_vals[i] = x_ptr;
431: }
432: else {
433: col_indices[2*i] = 0;
434: col_sz[i] = col_indices[2*i+1] = 0;
435: col_vals[i] = x_ptr;
436: }
437: }
439: /* close off stages for execution phase */
440: while (dim!=level) {
441: stages[dim++] = i;
442: PetscInfo2(0,"disconnected!!! dim(%D)!=level(%D)\n",dim,level);
443: }
444: stages[dim]=i;
446: xxt_handle->info->n = xxt_handle->mvi->n;
447: xxt_handle->info->m = m;
448: xxt_handle->info->nnz = xxt_nnz;
449: xxt_handle->info->max_nnz = xxt_max_nnz;
450: xxt_handle->info->msg_buf_sz = stages[level]-stages[0];
451: xxt_handle->info->solve_uu = (PetscScalar*) malloc(m*sizeof(PetscScalar));
452: xxt_handle->info->solve_w = (PetscScalar*) malloc(m*sizeof(PetscScalar));
453: xxt_handle->info->x = x;
454: xxt_handle->info->col_vals = col_vals;
455: xxt_handle->info->col_sz = col_sz;
456: xxt_handle->info->col_indices = col_indices;
457: xxt_handle->info->stages = stages;
458: xxt_handle->info->nsolves = 0;
459: xxt_handle->info->tot_solve_time = 0.0;
461: free(segs);
462: free(u);
463: free(v);
464: free(uu);
465: free(z);
466: free(w);
468: return(0);
469: }
471: /**************************************xxt.c***********************************/
472: static PetscErrorCode do_xxt_solve(xxt_ADT xxt_handle, PetscScalar *uc)
473: {
474: PetscInt off, len, *iptr;
475: PetscInt level = xxt_handle->level;
476: PetscInt n = xxt_handle->info->n;
477: PetscInt m = xxt_handle->info->m;
478: PetscInt *stages = xxt_handle->info->stages;
479: PetscInt *col_indices = xxt_handle->info->col_indices;
480: PetscScalar *x_ptr, *uu_ptr;
481: PetscScalar *solve_uu = xxt_handle->info->solve_uu;
482: PetscScalar *solve_w = xxt_handle->info->solve_w;
483: PetscScalar *x = xxt_handle->info->x;
484: PetscBLASInt i1 = 1,dlen;
488: uu_ptr=solve_uu;
489: PCTFS_rvec_zero(uu_ptr,m);
491: /* x = X.Y^T.b */
492: /* uu = Y^T.b */
493: for (x_ptr=x,iptr=col_indices; *iptr!=-1; x_ptr+=len) {
494: off =*iptr++;
495: len =*iptr++;
496: PetscBLASIntCast(len,&dlen);
497: PetscStackCallBLAS("BLASdot",*uu_ptr++ = BLASdot_(&dlen,uc+off,&i1,x_ptr,&i1));
498: }
500: /* comunication of beta */
501: uu_ptr=solve_uu;
502: if (level) {PCTFS_ssgl_radd(uu_ptr, solve_w, level, stages);}
504: PCTFS_rvec_zero(uc,n);
506: /* x = X.uu */
507: for (x_ptr=x,iptr=col_indices; *iptr!=-1; x_ptr+=len) {
508: off =*iptr++;
509: len =*iptr++;
510: PetscBLASIntCast(len,&dlen);
511: PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&dlen,uu_ptr++,x_ptr,&i1,uc+off,&i1));
512: }
513: return(0);
514: }
516: /**************************************xxt.c***********************************/
517: static PetscErrorCode check_handle(xxt_ADT xxt_handle)
518: {
519: PetscInt vals[2], work[2], op[] = {NON_UNIFORM,GL_MIN,GL_MAX};
522: if (!xxt_handle) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"check_handle() :: bad handle :: NULL %D\n",xxt_handle);
524: vals[0]=vals[1]=xxt_handle->id;
525: PCTFS_giop(vals,work,sizeof(op)/sizeof(op[0])-1,op);
526: if ((vals[0]!=vals[1])||(xxt_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], xxt_handle->id);
527: return(0);
528: }
530: /**************************************xxt.c***********************************/
531: static PetscErrorCode det_separators(xxt_ADT xxt_handle)
532: {
533: PetscInt i, ct, id;
534: PetscInt mask, edge, *iptr;
535: PetscInt *dir, *used;
536: PetscInt sum[4], w[4];
537: PetscScalar rsum[4], rw[4];
538: PetscInt op[] = {GL_ADD,0};
539: PetscScalar *lhs, *rhs;
540: PetscInt *nsep, *lnsep, *fo, nfo=0;
541: PCTFS_gs_ADT PCTFS_gs_handle = xxt_handle->mvi->PCTFS_gs_handle;
542: PetscInt *local2global = xxt_handle->mvi->local2global;
543: PetscInt n = xxt_handle->mvi->n;
544: PetscInt m = xxt_handle->mvi->m;
545: PetscInt level = xxt_handle->level;
546: PetscInt shared = 0;
549: dir = (PetscInt*)malloc(sizeof(PetscInt)*(level+1));
550: nsep = (PetscInt*)malloc(sizeof(PetscInt)*(level+1));
551: lnsep= (PetscInt*)malloc(sizeof(PetscInt)*(level+1));
552: fo = (PetscInt*)malloc(sizeof(PetscInt)*(n+1));
553: used = (PetscInt*)malloc(sizeof(PetscInt)*n);
555: PCTFS_ivec_zero(dir,level+1);
556: PCTFS_ivec_zero(nsep,level+1);
557: PCTFS_ivec_zero(lnsep,level+1);
558: PCTFS_ivec_set (fo,-1,n+1);
559: PCTFS_ivec_zero(used,n);
561: lhs = (PetscScalar*)malloc(sizeof(PetscScalar)*m);
562: rhs = (PetscScalar*)malloc(sizeof(PetscScalar)*m);
564: /* determine the # of unique dof */
565: PCTFS_rvec_zero(lhs,m);
566: PCTFS_rvec_set(lhs,1.0,n);
567: PCTFS_gs_gop_hc(PCTFS_gs_handle,lhs,"+\0",level);
568: PCTFS_rvec_zero(rsum,2);
569: for (i=0; i<n; i++) {
570: if (lhs[i]!=0.0) {
571: rsum[0]+=1.0/lhs[i]; rsum[1]+=lhs[i];
572: }
573: }
574: PCTFS_grop_hc(rsum,rw,2,op,level);
575: rsum[0]+=0.1;
576: rsum[1]+=0.1;
578: if (PetscAbsScalar(rsum[0]-rsum[1])>EPS) shared=1;
580: xxt_handle->info->n_global=xxt_handle->info->m_global=(PetscInt) rsum[0];
581: xxt_handle->mvi->n_global =xxt_handle->mvi->m_global =(PetscInt) rsum[0];
583: /* determine separator sets top down */
584: if (shared) {
585: for (iptr=fo+n,id=PCTFS_my_id,mask=PCTFS_num_nodes>>1,edge=level;edge>0;edge--,mask>>=1) {
587: /* set rsh of hc, fire, and collect lhs responses */
588: (id<mask) ? PCTFS_rvec_zero(lhs,m) : PCTFS_rvec_set(lhs,1.0,m);
589: PCTFS_gs_gop_hc(PCTFS_gs_handle,lhs,"+\0",edge);
591: /* set lsh of hc, fire, and collect rhs responses */
592: (id<mask) ? PCTFS_rvec_set(rhs,1.0,m) : PCTFS_rvec_zero(rhs,m);
593: PCTFS_gs_gop_hc(PCTFS_gs_handle,rhs,"+\0",edge);
594:
595: for (i=0;i<n;i++) {
596: if (id< mask) {
597: if (lhs[i]!=0.0) lhs[i]=1.0;
598: }
599: if (id>=mask) {
600: if (rhs[i]!=0.0) rhs[i]=1.0;
601: }
602: }
604: if (id< mask) PCTFS_gs_gop_hc(PCTFS_gs_handle,lhs,"+\0",edge-1);
605: else PCTFS_gs_gop_hc(PCTFS_gs_handle,rhs,"+\0",edge-1);
607: /* count number of dofs I own that have signal and not in sep set */
608: PCTFS_rvec_zero(rsum,4);
609: for (PCTFS_ivec_zero(sum,4),ct=i=0;i<n;i++) {
610: if (!used[i]) {
611: /* number of unmarked dofs on node */
612: ct++;
613: /* number of dofs to be marked on lhs hc */
614: if (id< mask) {
615: if (lhs[i]!=0.0) { sum[0]++; rsum[0]+=1.0/lhs[i]; }
616: }
617: /* number of dofs to be marked on rhs hc */
618: if (id>=mask) {
619: if (rhs[i]!=0.0) { sum[1]++; rsum[1]+=1.0/rhs[i]; }
620: }
621: }
622: }
624: /* go for load balance - choose half with most unmarked dofs, bias LHS */
625: (id<mask) ? (sum[2]=ct) : (sum[3]=ct);
626: (id<mask) ? (rsum[2]=ct) : (rsum[3]=ct);
627: PCTFS_giop_hc(sum,w,4,op,edge);
628: PCTFS_grop_hc(rsum,rw,4,op,edge);
629: rsum[0]+=0.1; rsum[1]+=0.1; rsum[2]+=0.1; rsum[3]+=0.1;
631: if (id<mask) {
632: /* mark dofs I own that have signal and not in sep set */
633: for (ct=i=0;i<n;i++) {
634: if ((!used[i])&&(lhs[i]!=0.0)) {
635: ct++; nfo++;
637: if (nfo>n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"nfo about to exceed n\n");
639: *--iptr = local2global[i];
640: used[i] = edge;
641: }
642: }
643: if (ct>1) PCTFS_ivec_sort(iptr,ct);
645: lnsep[edge]=ct;
646: nsep[edge]=(PetscInt) rsum[0];
647: dir [edge]=LEFT;
648: }
650: if (id>=mask) {
651: /* mark dofs I own that have signal and not in sep set */
652: for (ct=i=0;i<n;i++) {
653: if ((!used[i])&&(rhs[i]!=0.0)) {
654: ct++; nfo++;
656: if (nfo>n) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"nfo about to exceed n\n");
658: *--iptr = local2global[i];
659: used[i] = edge;
660: }
661: }
662: if (ct>1) PCTFS_ivec_sort(iptr,ct);
664: lnsep[edge] = ct;
665: nsep[edge] = (PetscInt) rsum[1];
666: dir [edge] = RIGHT;
667: }
669: /* LATER or we can recur on these to order seps at this level */
670: /* do we need full set of separators for this? */
672: /* fold rhs hc into lower */
673: if (id>=mask) id-=mask;
674: }
675: } else {
676: for (iptr=fo+n,id=PCTFS_my_id,mask=PCTFS_num_nodes>>1,edge=level;edge>0;edge--,mask>>=1) {
677: /* set rsh of hc, fire, and collect lhs responses */
678: (id<mask) ? PCTFS_rvec_zero(lhs,m) : PCTFS_rvec_set(lhs,1.0,m);
679: PCTFS_gs_gop_hc(PCTFS_gs_handle,lhs,"+\0",edge);
681: /* set lsh of hc, fire, and collect rhs responses */
682: (id<mask) ? PCTFS_rvec_set(rhs,1.0,m) : PCTFS_rvec_zero(rhs,m);
683: PCTFS_gs_gop_hc(PCTFS_gs_handle,rhs,"+\0",edge);
685: /* count number of dofs I own that have signal and not in sep set */
686: for (PCTFS_ivec_zero(sum,4),ct=i=0;i<n;i++) {
687: if (!used[i]) {
688: /* number of unmarked dofs on node */
689: ct++;
690: /* number of dofs to be marked on lhs hc */
691: if ((id< mask)&&(lhs[i]!=0.0)) sum[0]++;
692: /* number of dofs to be marked on rhs hc */
693: if ((id>=mask)&&(rhs[i]!=0.0)) sum[1]++;
694: }
695: }
697: /* go for load balance - choose half with most unmarked dofs, bias LHS */
698: (id<mask) ? (sum[2]=ct) : (sum[3]=ct);
699: PCTFS_giop_hc(sum,w,4,op,edge);
701: /* lhs hc wins */
702: if (sum[2]>=sum[3]) {
703: if (id<mask) {
704: /* mark dofs I own that have signal and not in sep set */
705: for (ct=i=0;i<n;i++) {
706: if ((!used[i])&&(lhs[i]!=0.0)) {
707: ct++; nfo++;
708: *--iptr = local2global[i];
709: used[i]=edge;
710: }
711: }
712: if (ct>1) PCTFS_ivec_sort(iptr,ct);
713: lnsep[edge]=ct;
714: }
715: nsep[edge]=sum[0];
716: dir [edge]=LEFT;
717: } else { /* rhs hc wins */
718: if (id>=mask) {
719: /* mark dofs I own that have signal and not in sep set */
720: for (ct=i=0;i<n;i++) {
721: if ((!used[i])&&(rhs[i]!=0.0)) {
722: ct++; nfo++;
723: *--iptr = local2global[i];
724: used[i]=edge;
725: }
726: }
727: if (ct>1) PCTFS_ivec_sort(iptr,ct);
728: lnsep[edge]=ct;
729: }
730: nsep[edge]=sum[1];
731: dir [edge]=RIGHT;
732: }
733: /* LATER or we can recur on these to order seps at this level */
734: /* do we need full set of separators for this? */
736: /* fold rhs hc into lower */
737: if (id>=mask) id-=mask;
738: }
739: }
742: /* level 0 is on processor case - so mark the remainder */
743: for (ct=i=0; i<n; i++) {
744: if (!used[i]) {
745: ct++; nfo++;
746: *--iptr = local2global[i];
747: used[i] = edge;
748: }
749: }
750: if (ct>1) PCTFS_ivec_sort(iptr,ct);
751: lnsep[edge]=ct;
752: nsep [edge]=ct;
753: dir [edge]=LEFT;
755: xxt_handle->info->nsep = nsep;
756: xxt_handle->info->lnsep = lnsep;
757: xxt_handle->info->fo = fo;
758: xxt_handle->info->nfo = nfo;
760: free(dir);
761: free(lhs);
762: free(rhs);
763: free(used);
764: return(0);
765: }
767: /**************************************xxt.c***********************************/
768: static mv_info *set_mvi(PetscInt *local2global,PetscInt n,PetscInt m,PetscErrorCode (*matvec)(mv_info*,PetscScalar*,PetscScalar*),void *grid_data)
769: {
770: mv_info *mvi;
773: mvi = (mv_info*)malloc(sizeof(mv_info));
774: mvi->n = n;
775: mvi->m = m;
776: mvi->n_global = -1;
777: mvi->m_global = -1;
778: mvi->local2global = (PetscInt*)malloc((m+1)*sizeof(PetscInt));
779: PCTFS_ivec_copy(mvi->local2global,local2global,m);
780: mvi->local2global[m] = INT_MAX;
781: mvi->matvec = matvec;
782: mvi->grid_data = grid_data;
784: /* set xxt communication handle to perform restricted matvec */
785: mvi->PCTFS_gs_handle = PCTFS_gs_init(local2global, m, PCTFS_num_nodes);
787: return(mvi);
788: }
790: /**************************************xxt.c***********************************/
791: static PetscErrorCode do_matvec(mv_info *A, PetscScalar *v, PetscScalar *u)
792: {
794: A->matvec((mv_info*)A->grid_data,v,u);
795: return(0);
796: }