Actual source code: da2.c
2: #include <petsc/private/dmdaimpl.h>
3: #include <petscdraw.h>
5: static PetscErrorCode DMView_DA_2d(DM da,PetscViewer viewer)
6: {
8: PetscMPIInt rank;
9: PetscBool iascii,isdraw,isglvis,isbinary;
10: DM_DA *dd = (DM_DA*)da->data;
11: #if defined(PETSC_HAVE_MATLAB_ENGINE)
12: PetscBool ismatlab;
13: #endif
16: MPI_Comm_rank(PetscObjectComm((PetscObject)da),&rank);
18: PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);
19: PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw);
20: PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERGLVIS,&isglvis);
21: PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary);
22: #if defined(PETSC_HAVE_MATLAB_ENGINE)
23: PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERMATLAB,&ismatlab);
24: #endif
25: if (iascii) {
26: PetscViewerFormat format;
28: PetscViewerGetFormat(viewer, &format);
29: if (format == PETSC_VIEWER_LOAD_BALANCE) {
30: PetscInt i,nmax = 0,nmin = PETSC_MAX_INT,navg = 0,*nz,nzlocal;
31: DMDALocalInfo info;
32: PetscMPIInt size;
33: MPI_Comm_size(PetscObjectComm((PetscObject)da),&size);
34: DMDAGetLocalInfo(da,&info);
35: nzlocal = info.xm*info.ym;
36: PetscMalloc1(size,&nz);
37: MPI_Allgather(&nzlocal,1,MPIU_INT,nz,1,MPIU_INT,PetscObjectComm((PetscObject)da));
38: for (i=0; i<(PetscInt)size; i++) {
39: nmax = PetscMax(nmax,nz[i]);
40: nmin = PetscMin(nmin,nz[i]);
41: navg += nz[i];
42: }
43: PetscFree(nz);
44: navg = navg/size;
45: PetscViewerASCIIPrintf(viewer," Load Balance - Grid Points: Min %D avg %D max %D\n",nmin,navg,nmax);
46: return(0);
47: }
48: if (format != PETSC_VIEWER_ASCII_VTK_DEPRECATED && format != PETSC_VIEWER_ASCII_VTK_CELL_DEPRECATED && format != PETSC_VIEWER_ASCII_GLVIS) {
49: DMDALocalInfo info;
50: DMDAGetLocalInfo(da,&info);
51: PetscViewerASCIIPushSynchronized(viewer);
52: PetscViewerASCIISynchronizedPrintf(viewer,"Processor [%d] M %D N %D m %D n %D w %D s %D\n",rank,dd->M,dd->N,dd->m,dd->n,dd->w,dd->s);
53: PetscViewerASCIISynchronizedPrintf(viewer,"X range of indices: %D %D, Y range of indices: %D %D\n",info.xs,info.xs+info.xm,info.ys,info.ys+info.ym);
54: PetscViewerFlush(viewer);
55: PetscViewerASCIIPopSynchronized(viewer);
56: } else if (format == PETSC_VIEWER_ASCII_GLVIS) {
57: DMView_DA_GLVis(da,viewer);
58: } else {
59: DMView_DA_VTK(da,viewer);
60: }
61: } else if (isdraw) {
62: PetscDraw draw;
63: double ymin = -1*dd->s-1,ymax = dd->N+dd->s;
64: double xmin = -1*dd->s-1,xmax = dd->M+dd->s;
65: double x,y;
66: PetscInt base;
67: const PetscInt *idx;
68: char node[10];
69: PetscBool isnull;
71: PetscViewerDrawGetDraw(viewer,0,&draw);
72: PetscDrawIsNull(draw,&isnull);
73: if (isnull) return(0);
75: PetscDrawCheckResizedWindow(draw);
76: PetscDrawClear(draw);
77: PetscDrawSetCoordinates(draw,xmin,ymin,xmax,ymax);
79: PetscDrawCollectiveBegin(draw);
80: /* first processor draw all node lines */
81: if (rank == 0) {
82: ymin = 0.0; ymax = dd->N - 1;
83: for (xmin=0; xmin<dd->M; xmin++) {
84: PetscDrawLine(draw,xmin,ymin,xmin,ymax,PETSC_DRAW_BLACK);
85: }
86: xmin = 0.0; xmax = dd->M - 1;
87: for (ymin=0; ymin<dd->N; ymin++) {
88: PetscDrawLine(draw,xmin,ymin,xmax,ymin,PETSC_DRAW_BLACK);
89: }
90: }
91: PetscDrawCollectiveEnd(draw);
92: PetscDrawFlush(draw);
93: PetscDrawPause(draw);
95: PetscDrawCollectiveBegin(draw);
96: /* draw my box */
97: xmin = dd->xs/dd->w; xmax =(dd->xe-1)/dd->w; ymin = dd->ys; ymax = dd->ye - 1;
98: PetscDrawLine(draw,xmin,ymin,xmax,ymin,PETSC_DRAW_RED);
99: PetscDrawLine(draw,xmin,ymin,xmin,ymax,PETSC_DRAW_RED);
100: PetscDrawLine(draw,xmin,ymax,xmax,ymax,PETSC_DRAW_RED);
101: PetscDrawLine(draw,xmax,ymin,xmax,ymax,PETSC_DRAW_RED);
102: /* put in numbers */
103: base = (dd->base)/dd->w;
104: for (y=ymin; y<=ymax; y++) {
105: for (x=xmin; x<=xmax; x++) {
106: PetscSNPrintf(node,sizeof(node),"%d",(int)base++);
107: PetscDrawString(draw,x,y,PETSC_DRAW_BLACK,node);
108: }
109: }
110: PetscDrawCollectiveEnd(draw);
111: PetscDrawFlush(draw);
112: PetscDrawPause(draw);
114: PetscDrawCollectiveBegin(draw);
115: /* overlay ghost numbers, useful for error checking */
116: ISLocalToGlobalMappingGetBlockIndices(da->ltogmap,&idx);
117: base = 0; xmin = dd->Xs; xmax = dd->Xe; ymin = dd->Ys; ymax = dd->Ye;
118: for (y=ymin; y<ymax; y++) {
119: for (x=xmin; x<xmax; x++) {
120: if ((base % dd->w) == 0) {
121: PetscSNPrintf(node,sizeof(node),"%d",(int)(idx[base/dd->w]));
122: PetscDrawString(draw,x/dd->w,y,PETSC_DRAW_BLUE,node);
123: }
124: base++;
125: }
126: }
127: ISLocalToGlobalMappingRestoreBlockIndices(da->ltogmap,&idx);
128: PetscDrawCollectiveEnd(draw);
129: PetscDrawFlush(draw);
130: PetscDrawPause(draw);
131: PetscDrawSave(draw);
132: } else if (isglvis) {
133: DMView_DA_GLVis(da,viewer);
134: } else if (isbinary) {
135: DMView_DA_Binary(da,viewer);
136: #if defined(PETSC_HAVE_MATLAB_ENGINE)
137: } else if (ismatlab) {
138: DMView_DA_Matlab(da,viewer);
139: #endif
140: }
141: return(0);
142: }
144: #if defined(new)
145: /*
146: DMDAGetDiagonal_MFFD - Gets the diagonal for a matrix free matrix where local
147: function lives on a DMDA
149: y ~= (F(u + ha) - F(u))/h,
150: where F = nonlinear function, as set by SNESSetFunction()
151: u = current iterate
152: h = difference interval
153: */
154: PetscErrorCode DMDAGetDiagonal_MFFD(DM da,Vec U,Vec a)
155: {
156: PetscScalar h,*aa,*ww,v;
157: PetscReal epsilon = PETSC_SQRT_MACHINE_EPSILON,umin = 100.0*PETSC_SQRT_MACHINE_EPSILON;
159: PetscInt gI,nI;
160: MatStencil stencil;
161: DMDALocalInfo info;
164: (*ctx->func)(0,U,a,ctx->funcctx);
165: (*ctx->funcisetbase)(U,ctx->funcctx);
167: VecGetArray(U,&ww);
168: VecGetArray(a,&aa);
170: nI = 0;
171: h = ww[gI];
172: if (h == 0.0) h = 1.0;
173: if (PetscAbsScalar(h) < umin && PetscRealPart(h) >= 0.0) h = umin;
174: else if (PetscRealPart(h) < 0.0 && PetscAbsScalar(h) < umin) h = -umin;
175: h *= epsilon;
177: ww[gI] += h;
178: (*ctx->funci)(i,w,&v,ctx->funcctx);
179: aa[nI] = (v - aa[nI])/h;
180: ww[gI] -= h;
181: nI++;
183: VecRestoreArray(U,&ww);
184: VecRestoreArray(a,&aa);
185: return(0);
186: }
187: #endif
189: PetscErrorCode DMSetUp_DA_2D(DM da)
190: {
191: DM_DA *dd = (DM_DA*)da->data;
192: const PetscInt M = dd->M;
193: const PetscInt N = dd->N;
194: PetscInt m = dd->m;
195: PetscInt n = dd->n;
196: const PetscInt dof = dd->w;
197: const PetscInt s = dd->s;
198: DMBoundaryType bx = dd->bx;
199: DMBoundaryType by = dd->by;
200: DMDAStencilType stencil_type = dd->stencil_type;
201: PetscInt *lx = dd->lx;
202: PetscInt *ly = dd->ly;
203: MPI_Comm comm;
204: PetscMPIInt rank,size;
205: PetscInt xs,xe,ys,ye,x,y,Xs,Xe,Ys,Ye,IXs,IXe,IYs,IYe;
206: PetscInt up,down,left,right,i,n0,n1,n2,n3,n5,n6,n7,n8,*idx,nn;
207: PetscInt xbase,*bases,*ldims,j,x_t,y_t,s_t,base,count;
208: PetscInt s_x,s_y; /* s proportionalized to w */
209: PetscInt sn0 = 0,sn2 = 0,sn6 = 0,sn8 = 0;
210: Vec local,global;
211: VecScatter gtol;
212: IS to,from;
213: PetscErrorCode ierr;
216: if (stencil_type == DMDA_STENCIL_BOX && (bx == DM_BOUNDARY_MIRROR || by == DM_BOUNDARY_MIRROR)) SETERRQ(PetscObjectComm((PetscObject)da),PETSC_ERR_SUP,"Mirror boundary and box stencil");
217: PetscObjectGetComm((PetscObject)da,&comm);
218: #if !defined(PETSC_USE_64BIT_INDICES)
219: if (((PetscInt64) M)*((PetscInt64) N)*((PetscInt64) dof) > (PetscInt64) PETSC_MPI_INT_MAX) SETERRQ3(comm,PETSC_ERR_INT_OVERFLOW,"Mesh of %D by %D by %D (dof) is too large for 32 bit indices",M,N,dof);
220: #endif
222: MPI_Comm_size(comm,&size);
223: MPI_Comm_rank(comm,&rank);
225: dd->p = 1;
226: if (m != PETSC_DECIDE) {
227: if (m < 1) SETERRQ1(comm,PETSC_ERR_ARG_OUTOFRANGE,"Non-positive number of processors in X direction: %D",m);
228: else if (m > size) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Too many processors in X direction: %D %d",m,size);
229: }
230: if (n != PETSC_DECIDE) {
231: if (n < 1) SETERRQ1(comm,PETSC_ERR_ARG_OUTOFRANGE,"Non-positive number of processors in Y direction: %D",n);
232: else if (n > size) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Too many processors in Y direction: %D %d",n,size);
233: }
235: if (m == PETSC_DECIDE || n == PETSC_DECIDE) {
236: if (n != PETSC_DECIDE) {
237: m = size/n;
238: } else if (m != PETSC_DECIDE) {
239: n = size/m;
240: } else {
241: /* try for squarish distribution */
242: m = (PetscInt)(0.5 + PetscSqrtReal(((PetscReal)M)*((PetscReal)size)/((PetscReal)N)));
243: if (!m) m = 1;
244: while (m > 0) {
245: n = size/m;
246: if (m*n == size) break;
247: m--;
248: }
249: if (M > N && m < n) {PetscInt _m = m; m = n; n = _m;}
250: }
251: if (m*n != size) SETERRQ(comm,PETSC_ERR_PLIB,"Unable to create partition, check the size of the communicator and input m and n ");
252: } else if (m*n != size) SETERRQ(comm,PETSC_ERR_ARG_OUTOFRANGE,"Given Bad partition");
254: if (M < m) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Partition in x direction is too fine! %D %D",M,m);
255: if (N < n) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Partition in y direction is too fine! %D %D",N,n);
257: /*
258: Determine locally owned region
259: xs is the first local node number, x is the number of local nodes
260: */
261: if (!lx) {
262: PetscMalloc1(m, &dd->lx);
263: lx = dd->lx;
264: for (i=0; i<m; i++) {
265: lx[i] = M/m + ((M % m) > i);
266: }
267: }
268: x = lx[rank % m];
269: xs = 0;
270: for (i=0; i<(rank % m); i++) {
271: xs += lx[i];
272: }
273: if (PetscDefined(USE_DEBUG)) {
274: left = xs;
275: for (i=(rank % m); i<m; i++) {
276: left += lx[i];
277: }
278: if (left != M) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Sum of lx across processors not equal to M: %D %D",left,M);
279: }
281: /*
282: Determine locally owned region
283: ys is the first local node number, y is the number of local nodes
284: */
285: if (!ly) {
286: PetscMalloc1(n, &dd->ly);
287: ly = dd->ly;
288: for (i=0; i<n; i++) {
289: ly[i] = N/n + ((N % n) > i);
290: }
291: }
292: y = ly[rank/m];
293: ys = 0;
294: for (i=0; i<(rank/m); i++) {
295: ys += ly[i];
296: }
297: if (PetscDefined(USE_DEBUG)) {
298: left = ys;
299: for (i=(rank/m); i<n; i++) {
300: left += ly[i];
301: }
302: if (left != N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Sum of ly across processors not equal to N: %D %D",left,N);
303: }
305: /*
306: check if the scatter requires more than one process neighbor or wraps around
307: the domain more than once
308: */
309: if ((x < s) && ((m > 1) || (bx == DM_BOUNDARY_PERIODIC))) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local x-width of domain x %D is smaller than stencil width s %D",x,s);
310: if ((y < s) && ((n > 1) || (by == DM_BOUNDARY_PERIODIC))) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Local y-width of domain y %D is smaller than stencil width s %D",y,s);
311: xe = xs + x;
312: ye = ys + y;
314: /* determine ghost region (Xs) and region scattered into (IXs) */
315: if (xs-s > 0) {
316: Xs = xs - s; IXs = xs - s;
317: } else {
318: if (bx) {
319: Xs = xs - s;
320: } else {
321: Xs = 0;
322: }
323: IXs = 0;
324: }
325: if (xe+s <= M) {
326: Xe = xe + s; IXe = xe + s;
327: } else {
328: if (bx) {
329: Xs = xs - s; Xe = xe + s;
330: } else {
331: Xe = M;
332: }
333: IXe = M;
334: }
336: if (bx == DM_BOUNDARY_PERIODIC || bx == DM_BOUNDARY_MIRROR) {
337: IXs = xs - s;
338: IXe = xe + s;
339: Xs = xs - s;
340: Xe = xe + s;
341: }
343: if (ys-s > 0) {
344: Ys = ys - s; IYs = ys - s;
345: } else {
346: if (by) {
347: Ys = ys - s;
348: } else {
349: Ys = 0;
350: }
351: IYs = 0;
352: }
353: if (ye+s <= N) {
354: Ye = ye + s; IYe = ye + s;
355: } else {
356: if (by) {
357: Ye = ye + s;
358: } else {
359: Ye = N;
360: }
361: IYe = N;
362: }
364: if (by == DM_BOUNDARY_PERIODIC || by == DM_BOUNDARY_MIRROR) {
365: IYs = ys - s;
366: IYe = ye + s;
367: Ys = ys - s;
368: Ye = ye + s;
369: }
371: /* stencil length in each direction */
372: s_x = s;
373: s_y = s;
375: /* determine starting point of each processor */
376: nn = x*y;
377: PetscMalloc2(size+1,&bases,size,&ldims);
378: MPI_Allgather(&nn,1,MPIU_INT,ldims,1,MPIU_INT,comm);
379: bases[0] = 0;
380: for (i=1; i<=size; i++) {
381: bases[i] = ldims[i-1];
382: }
383: for (i=1; i<=size; i++) {
384: bases[i] += bases[i-1];
385: }
386: base = bases[rank]*dof;
388: /* allocate the base parallel and sequential vectors */
389: dd->Nlocal = x*y*dof;
390: VecCreateMPIWithArray(comm,dof,dd->Nlocal,PETSC_DECIDE,NULL,&global);
391: dd->nlocal = (Xe-Xs)*(Ye-Ys)*dof;
392: VecCreateSeqWithArray(PETSC_COMM_SELF,dof,dd->nlocal,NULL,&local);
394: /* generate global to local vector scatter and local to global mapping*/
396: /* global to local must include ghost points within the domain,
397: but not ghost points outside the domain that aren't periodic */
398: PetscMalloc1((IXe-IXs)*(IYe-IYs),&idx);
399: if (stencil_type == DMDA_STENCIL_BOX) {
400: left = IXs - Xs; right = left + (IXe-IXs);
401: down = IYs - Ys; up = down + (IYe-IYs);
402: count = 0;
403: for (i=down; i<up; i++) {
404: for (j=left; j<right; j++) {
405: idx[count++] = j + i*(Xe-Xs);
406: }
407: }
408: ISCreateBlock(comm,dof,count,idx,PETSC_OWN_POINTER,&to);
410: } else {
411: /* must drop into cross shape region */
412: /* ---------|
413: | top |
414: |--- ---| up
415: | middle |
416: | |
417: ---- ---- down
418: | bottom |
419: -----------
420: Xs xs xe Xe */
421: left = xs - Xs; right = left + x;
422: down = ys - Ys; up = down + y;
423: count = 0;
424: /* bottom */
425: for (i=(IYs-Ys); i<down; i++) {
426: for (j=left; j<right; j++) {
427: idx[count++] = j + i*(Xe-Xs);
428: }
429: }
430: /* middle */
431: for (i=down; i<up; i++) {
432: for (j=(IXs-Xs); j<(IXe-Xs); j++) {
433: idx[count++] = j + i*(Xe-Xs);
434: }
435: }
436: /* top */
437: for (i=up; i<up+IYe-ye; i++) {
438: for (j=left; j<right; j++) {
439: idx[count++] = j + i*(Xe-Xs);
440: }
441: }
442: ISCreateBlock(comm,dof,count,idx,PETSC_OWN_POINTER,&to);
443: }
445: /* determine who lies on each side of us stored in n6 n7 n8
446: n3 n5
447: n0 n1 n2
448: */
450: /* Assume the Non-Periodic Case */
451: n1 = rank - m;
452: if (rank % m) {
453: n0 = n1 - 1;
454: } else {
455: n0 = -1;
456: }
457: if ((rank+1) % m) {
458: n2 = n1 + 1;
459: n5 = rank + 1;
460: n8 = rank + m + 1; if (n8 >= m*n) n8 = -1;
461: } else {
462: n2 = -1; n5 = -1; n8 = -1;
463: }
464: if (rank % m) {
465: n3 = rank - 1;
466: n6 = n3 + m; if (n6 >= m*n) n6 = -1;
467: } else {
468: n3 = -1; n6 = -1;
469: }
470: n7 = rank + m; if (n7 >= m*n) n7 = -1;
472: if (bx == DM_BOUNDARY_PERIODIC && by == DM_BOUNDARY_PERIODIC) {
473: /* Modify for Periodic Cases */
474: /* Handle all four corners */
475: if ((n6 < 0) && (n7 < 0) && (n3 < 0)) n6 = m-1;
476: if ((n8 < 0) && (n7 < 0) && (n5 < 0)) n8 = 0;
477: if ((n2 < 0) && (n5 < 0) && (n1 < 0)) n2 = size-m;
478: if ((n0 < 0) && (n3 < 0) && (n1 < 0)) n0 = size-1;
480: /* Handle Top and Bottom Sides */
481: if (n1 < 0) n1 = rank + m * (n-1);
482: if (n7 < 0) n7 = rank - m * (n-1);
483: if ((n3 >= 0) && (n0 < 0)) n0 = size - m + rank - 1;
484: if ((n3 >= 0) && (n6 < 0)) n6 = (rank%m)-1;
485: if ((n5 >= 0) && (n2 < 0)) n2 = size - m + rank + 1;
486: if ((n5 >= 0) && (n8 < 0)) n8 = (rank%m)+1;
488: /* Handle Left and Right Sides */
489: if (n3 < 0) n3 = rank + (m-1);
490: if (n5 < 0) n5 = rank - (m-1);
491: if ((n1 >= 0) && (n0 < 0)) n0 = rank-1;
492: if ((n1 >= 0) && (n2 < 0)) n2 = rank-2*m+1;
493: if ((n7 >= 0) && (n6 < 0)) n6 = rank+2*m-1;
494: if ((n7 >= 0) && (n8 < 0)) n8 = rank+1;
495: } else if (by == DM_BOUNDARY_PERIODIC) { /* Handle Top and Bottom Sides */
496: if (n1 < 0) n1 = rank + m * (n-1);
497: if (n7 < 0) n7 = rank - m * (n-1);
498: if ((n3 >= 0) && (n0 < 0)) n0 = size - m + rank - 1;
499: if ((n3 >= 0) && (n6 < 0)) n6 = (rank%m)-1;
500: if ((n5 >= 0) && (n2 < 0)) n2 = size - m + rank + 1;
501: if ((n5 >= 0) && (n8 < 0)) n8 = (rank%m)+1;
502: } else if (bx == DM_BOUNDARY_PERIODIC) { /* Handle Left and Right Sides */
503: if (n3 < 0) n3 = rank + (m-1);
504: if (n5 < 0) n5 = rank - (m-1);
505: if ((n1 >= 0) && (n0 < 0)) n0 = rank-1;
506: if ((n1 >= 0) && (n2 < 0)) n2 = rank-2*m+1;
507: if ((n7 >= 0) && (n6 < 0)) n6 = rank+2*m-1;
508: if ((n7 >= 0) && (n8 < 0)) n8 = rank+1;
509: }
511: PetscMalloc1(9,&dd->neighbors);
513: dd->neighbors[0] = n0;
514: dd->neighbors[1] = n1;
515: dd->neighbors[2] = n2;
516: dd->neighbors[3] = n3;
517: dd->neighbors[4] = rank;
518: dd->neighbors[5] = n5;
519: dd->neighbors[6] = n6;
520: dd->neighbors[7] = n7;
521: dd->neighbors[8] = n8;
523: if (stencil_type == DMDA_STENCIL_STAR) {
524: /* save corner processor numbers */
525: sn0 = n0; sn2 = n2; sn6 = n6; sn8 = n8;
526: n0 = n2 = n6 = n8 = -1;
527: }
529: PetscMalloc1((Xe-Xs)*(Ye-Ys),&idx);
531: nn = 0;
532: xbase = bases[rank];
533: for (i=1; i<=s_y; i++) {
534: if (n0 >= 0) { /* left below */
535: x_t = lx[n0 % m];
536: y_t = ly[(n0/m)];
537: s_t = bases[n0] + x_t*y_t - (s_y-i)*x_t - s_x;
538: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
539: }
541: if (n1 >= 0) { /* directly below */
542: x_t = x;
543: y_t = ly[(n1/m)];
544: s_t = bases[n1] + x_t*y_t - (s_y+1-i)*x_t;
545: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
546: } else if (by == DM_BOUNDARY_MIRROR) {
547: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(s_y - i + 1) + j;
548: }
550: if (n2 >= 0) { /* right below */
551: x_t = lx[n2 % m];
552: y_t = ly[(n2/m)];
553: s_t = bases[n2] + x_t*y_t - (s_y+1-i)*x_t;
554: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
555: }
556: }
558: for (i=0; i<y; i++) {
559: if (n3 >= 0) { /* directly left */
560: x_t = lx[n3 % m];
561: /* y_t = y; */
562: s_t = bases[n3] + (i+1)*x_t - s_x;
563: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
564: } else if (bx == DM_BOUNDARY_MIRROR) {
565: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*i + s_x - j;
566: }
568: for (j=0; j<x; j++) idx[nn++] = xbase++; /* interior */
570: if (n5 >= 0) { /* directly right */
571: x_t = lx[n5 % m];
572: /* y_t = y; */
573: s_t = bases[n5] + (i)*x_t;
574: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
575: } else if (bx == DM_BOUNDARY_MIRROR) {
576: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*(i + 1) - 2 - j;
577: }
578: }
580: for (i=1; i<=s_y; i++) {
581: if (n6 >= 0) { /* left above */
582: x_t = lx[n6 % m];
583: /* y_t = ly[(n6/m)]; */
584: s_t = bases[n6] + (i)*x_t - s_x;
585: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
586: }
588: if (n7 >= 0) { /* directly above */
589: x_t = x;
590: /* y_t = ly[(n7/m)]; */
591: s_t = bases[n7] + (i-1)*x_t;
592: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
593: } else if (by == DM_BOUNDARY_MIRROR) {
594: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(y - i - 1) + j;
595: }
597: if (n8 >= 0) { /* right above */
598: x_t = lx[n8 % m];
599: /* y_t = ly[(n8/m)]; */
600: s_t = bases[n8] + (i-1)*x_t;
601: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
602: }
603: }
605: ISCreateBlock(comm,dof,nn,idx,PETSC_USE_POINTER,&from);
606: VecScatterCreate(global,from,local,to,>ol);
607: PetscLogObjectParent((PetscObject)da,(PetscObject)gtol);
608: ISDestroy(&to);
609: ISDestroy(&from);
611: if (stencil_type == DMDA_STENCIL_STAR) {
612: n0 = sn0; n2 = sn2; n6 = sn6; n8 = sn8;
613: }
615: if (((stencil_type == DMDA_STENCIL_STAR) || (bx && bx != DM_BOUNDARY_PERIODIC) || (by && by != DM_BOUNDARY_PERIODIC))) {
616: /*
617: Recompute the local to global mappings, this time keeping the
618: information about the cross corner processor numbers and any ghosted
619: but not periodic indices.
620: */
621: nn = 0;
622: xbase = bases[rank];
623: for (i=1; i<=s_y; i++) {
624: if (n0 >= 0) { /* left below */
625: x_t = lx[n0 % m];
626: y_t = ly[(n0/m)];
627: s_t = bases[n0] + x_t*y_t - (s_y-i)*x_t - s_x;
628: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
629: } else if (xs-Xs > 0 && ys-Ys > 0) {
630: for (j=0; j<s_x; j++) idx[nn++] = -1;
631: }
632: if (n1 >= 0) { /* directly below */
633: x_t = x;
634: y_t = ly[(n1/m)];
635: s_t = bases[n1] + x_t*y_t - (s_y+1-i)*x_t;
636: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
637: } else if (ys-Ys > 0) {
638: if (by == DM_BOUNDARY_MIRROR) {
639: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(s_y - i + 1) + j;
640: } else {
641: for (j=0; j<x; j++) idx[nn++] = -1;
642: }
643: }
644: if (n2 >= 0) { /* right below */
645: x_t = lx[n2 % m];
646: y_t = ly[(n2/m)];
647: s_t = bases[n2] + x_t*y_t - (s_y+1-i)*x_t;
648: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
649: } else if (Xe-xe> 0 && ys-Ys > 0) {
650: for (j=0; j<s_x; j++) idx[nn++] = -1;
651: }
652: }
654: for (i=0; i<y; i++) {
655: if (n3 >= 0) { /* directly left */
656: x_t = lx[n3 % m];
657: /* y_t = y; */
658: s_t = bases[n3] + (i+1)*x_t - s_x;
659: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
660: } else if (xs-Xs > 0) {
661: if (bx == DM_BOUNDARY_MIRROR) {
662: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*i + s_x - j;
663: } else {
664: for (j=0; j<s_x; j++) idx[nn++] = -1;
665: }
666: }
668: for (j=0; j<x; j++) idx[nn++] = xbase++; /* interior */
670: if (n5 >= 0) { /* directly right */
671: x_t = lx[n5 % m];
672: /* y_t = y; */
673: s_t = bases[n5] + (i)*x_t;
674: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
675: } else if (Xe-xe > 0) {
676: if (bx == DM_BOUNDARY_MIRROR) {
677: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*(i + 1) - 2 - j;
678: } else {
679: for (j=0; j<s_x; j++) idx[nn++] = -1;
680: }
681: }
682: }
684: for (i=1; i<=s_y; i++) {
685: if (n6 >= 0) { /* left above */
686: x_t = lx[n6 % m];
687: /* y_t = ly[(n6/m)]; */
688: s_t = bases[n6] + (i)*x_t - s_x;
689: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
690: } else if (xs-Xs > 0 && Ye-ye > 0) {
691: for (j=0; j<s_x; j++) idx[nn++] = -1;
692: }
693: if (n7 >= 0) { /* directly above */
694: x_t = x;
695: /* y_t = ly[(n7/m)]; */
696: s_t = bases[n7] + (i-1)*x_t;
697: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
698: } else if (Ye-ye > 0) {
699: if (by == DM_BOUNDARY_MIRROR) {
700: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(y - i - 1) + j;
701: } else {
702: for (j=0; j<x; j++) idx[nn++] = -1;
703: }
704: }
705: if (n8 >= 0) { /* right above */
706: x_t = lx[n8 % m];
707: /* y_t = ly[(n8/m)]; */
708: s_t = bases[n8] + (i-1)*x_t;
709: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
710: } else if (Xe-xe > 0 && Ye-ye > 0) {
711: for (j=0; j<s_x; j++) idx[nn++] = -1;
712: }
713: }
714: }
715: /*
716: Set the local to global ordering in the global vector, this allows use
717: of VecSetValuesLocal().
718: */
719: ISLocalToGlobalMappingCreate(comm,dof,nn,idx,PETSC_OWN_POINTER,&da->ltogmap);
720: PetscLogObjectParent((PetscObject)da,(PetscObject)da->ltogmap);
722: PetscFree2(bases,ldims);
723: dd->m = m; dd->n = n;
724: /* note petsc expects xs/xe/Xs/Xe to be multiplied by #dofs in many places */
725: dd->xs = xs*dof; dd->xe = xe*dof; dd->ys = ys; dd->ye = ye; dd->zs = 0; dd->ze = 1;
726: dd->Xs = Xs*dof; dd->Xe = Xe*dof; dd->Ys = Ys; dd->Ye = Ye; dd->Zs = 0; dd->Ze = 1;
728: VecDestroy(&local);
729: VecDestroy(&global);
731: dd->gtol = gtol;
732: dd->base = base;
733: da->ops->view = DMView_DA_2d;
734: dd->ltol = NULL;
735: dd->ao = NULL;
736: return(0);
737: }
739: /*@C
740: DMDACreate2d - Creates an object that will manage the communication of two-dimensional
741: regular array data that is distributed across some processors.
743: Collective
745: Input Parameters:
746: + comm - MPI communicator
747: . bx,by - type of ghost nodes the array have.
748: Use one of DM_BOUNDARY_NONE, DM_BOUNDARY_GHOSTED, DM_BOUNDARY_PERIODIC.
749: . stencil_type - stencil type. Use either DMDA_STENCIL_BOX or DMDA_STENCIL_STAR.
750: . M,N - global dimension in each direction of the array
751: . m,n - corresponding number of processors in each dimension
752: (or PETSC_DECIDE to have calculated)
753: . dof - number of degrees of freedom per node
754: . s - stencil width
755: - lx, ly - arrays containing the number of nodes in each cell along
756: the x and y coordinates, or NULL. If non-null, these
757: must be of length as m and n, and the corresponding
758: m and n cannot be PETSC_DECIDE. The sum of the lx[] entries
759: must be M, and the sum of the ly[] entries must be N.
761: Output Parameter:
762: . da - the resulting distributed array object
764: Options Database Key:
765: + -dm_view - Calls DMView() at the conclusion of DMDACreate2d()
766: . -da_grid_x <nx> - number of grid points in x direction
767: . -da_grid_y <ny> - number of grid points in y direction
768: . -da_processors_x <nx> - number of processors in x direction
769: . -da_processors_y <ny> - number of processors in y direction
770: . -da_refine_x <rx> - refinement ratio in x direction
771: . -da_refine_y <ry> - refinement ratio in y direction
772: - -da_refine <n> - refine the DMDA n times before creating
774: Level: beginner
776: Notes:
777: The stencil type DMDA_STENCIL_STAR with width 1 corresponds to the
778: standard 5-pt stencil, while DMDA_STENCIL_BOX with width 1 denotes
779: the standard 9-pt stencil.
781: The array data itself is NOT stored in the DMDA, it is stored in Vec objects;
782: The appropriate vector objects can be obtained with calls to DMCreateGlobalVector()
783: and DMCreateLocalVector() and calls to VecDuplicate() if more are needed.
785: You must call DMSetUp() after this call before using this DM.
787: If you wish to use the options database to change values in the DMDA call DMSetFromOptions() after this call
788: but before DMSetUp().
790: .seealso: DMDestroy(), DMView(), DMDACreate1d(), DMDACreate3d(), DMGlobalToLocalBegin(), DMDAGetRefinementFactor(),
791: DMGlobalToLocalEnd(), DMLocalToGlobalBegin(), DMLocalToLocalBegin(), DMLocalToLocalEnd(), DMDASetRefinementFactor(),
792: DMDAGetInfo(), DMCreateGlobalVector(), DMCreateLocalVector(), DMDACreateNaturalVector(), DMLoad(), DMDAGetOwnershipRanges(),
793: DMStagCreate2d()
795: @*/
797: PetscErrorCode DMDACreate2d(MPI_Comm comm,DMBoundaryType bx,DMBoundaryType by,DMDAStencilType stencil_type,
798: PetscInt M,PetscInt N,PetscInt m,PetscInt n,PetscInt dof,PetscInt s,const PetscInt lx[],const PetscInt ly[],DM *da)
799: {
803: DMDACreate(comm, da);
804: DMSetDimension(*da, 2);
805: DMDASetSizes(*da, M, N, 1);
806: DMDASetNumProcs(*da, m, n, PETSC_DECIDE);
807: DMDASetBoundaryType(*da, bx, by, DM_BOUNDARY_NONE);
808: DMDASetDof(*da, dof);
809: DMDASetStencilType(*da, stencil_type);
810: DMDASetStencilWidth(*da, s);
811: DMDASetOwnershipRanges(*da, lx, ly, NULL);
812: return(0);
813: }