Actual source code: da2.c
petsc-3.13.6 2020-09-29
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 && format != PETSC_VIEWER_ASCII_VTK_CELL && 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) {
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: }
145: #if defined(new)
146: /*
147: DMDAGetDiagonal_MFFD - Gets the diagonal for a matrix free matrix where local
148: function lives on a DMDA
150: y ~= (F(u + ha) - F(u))/h,
151: where F = nonlinear function, as set by SNESSetFunction()
152: u = current iterate
153: h = difference interval
154: */
155: PetscErrorCode DMDAGetDiagonal_MFFD(DM da,Vec U,Vec a)
156: {
157: PetscScalar h,*aa,*ww,v;
158: PetscReal epsilon = PETSC_SQRT_MACHINE_EPSILON,umin = 100.0*PETSC_SQRT_MACHINE_EPSILON;
160: PetscInt gI,nI;
161: MatStencil stencil;
162: DMDALocalInfo info;
165: (*ctx->func)(0,U,a,ctx->funcctx);
166: (*ctx->funcisetbase)(U,ctx->funcctx);
168: VecGetArray(U,&ww);
169: VecGetArray(a,&aa);
171: nI = 0;
172: h = ww[gI];
173: if (h == 0.0) h = 1.0;
174: if (PetscAbsScalar(h) < umin && PetscRealPart(h) >= 0.0) h = umin;
175: else if (PetscRealPart(h) < 0.0 && PetscAbsScalar(h) < umin) h = -umin;
176: h *= epsilon;
178: ww[gI] += h;
179: (*ctx->funci)(i,w,&v,ctx->funcctx);
180: aa[nI] = (v - aa[nI])/h;
181: ww[gI] -= h;
182: nI++;
184: VecRestoreArray(U,&ww);
185: VecRestoreArray(a,&aa);
186: return(0);
187: }
188: #endif
190: PetscErrorCode DMSetUp_DA_2D(DM da)
191: {
192: DM_DA *dd = (DM_DA*)da->data;
193: const PetscInt M = dd->M;
194: const PetscInt N = dd->N;
195: PetscInt m = dd->m;
196: PetscInt n = dd->n;
197: const PetscInt dof = dd->w;
198: const PetscInt s = dd->s;
199: DMBoundaryType bx = dd->bx;
200: DMBoundaryType by = dd->by;
201: DMDAStencilType stencil_type = dd->stencil_type;
202: PetscInt *lx = dd->lx;
203: PetscInt *ly = dd->ly;
204: MPI_Comm comm;
205: PetscMPIInt rank,size;
206: PetscInt xs,xe,ys,ye,x,y,Xs,Xe,Ys,Ye,IXs,IXe,IYs,IYe;
207: PetscInt up,down,left,right,i,n0,n1,n2,n3,n5,n6,n7,n8,*idx,nn;
208: PetscInt xbase,*bases,*ldims,j,x_t,y_t,s_t,base,count;
209: PetscInt s_x,s_y; /* s proportionalized to w */
210: PetscInt sn0 = 0,sn2 = 0,sn6 = 0,sn8 = 0;
211: Vec local,global;
212: VecScatter gtol;
213: IS to,from;
214: PetscErrorCode ierr;
217: 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");
218: PetscObjectGetComm((PetscObject)da,&comm);
219: #if !defined(PETSC_USE_64BIT_INDICES)
220: 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);
221: #endif
223: MPI_Comm_size(comm,&size);
224: MPI_Comm_rank(comm,&rank);
226: dd->p = 1;
227: if (m != PETSC_DECIDE) {
228: if (m < 1) SETERRQ1(comm,PETSC_ERR_ARG_OUTOFRANGE,"Non-positive number of processors in X direction: %D",m);
229: else if (m > size) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Too many processors in X direction: %D %d",m,size);
230: }
231: if (n != PETSC_DECIDE) {
232: if (n < 1) SETERRQ1(comm,PETSC_ERR_ARG_OUTOFRANGE,"Non-positive number of processors in Y direction: %D",n);
233: else if (n > size) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Too many processors in Y direction: %D %d",n,size);
234: }
236: if (m == PETSC_DECIDE || n == PETSC_DECIDE) {
237: if (n != PETSC_DECIDE) {
238: m = size/n;
239: } else if (m != PETSC_DECIDE) {
240: n = size/m;
241: } else {
242: /* try for squarish distribution */
243: m = (PetscInt)(0.5 + PetscSqrtReal(((PetscReal)M)*((PetscReal)size)/((PetscReal)N)));
244: if (!m) m = 1;
245: while (m > 0) {
246: n = size/m;
247: if (m*n == size) break;
248: m--;
249: }
250: if (M > N && m < n) {PetscInt _m = m; m = n; n = _m;}
251: }
252: if (m*n != size) SETERRQ(comm,PETSC_ERR_PLIB,"Unable to create partition, check the size of the communicator and input m and n ");
253: } else if (m*n != size) SETERRQ(comm,PETSC_ERR_ARG_OUTOFRANGE,"Given Bad partition");
255: if (M < m) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Partition in x direction is too fine! %D %D",M,m);
256: if (N < n) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Partition in y direction is too fine! %D %D",N,n);
258: /*
259: Determine locally owned region
260: xs is the first local node number, x is the number of local nodes
261: */
262: if (!lx) {
263: PetscMalloc1(m, &dd->lx);
264: lx = dd->lx;
265: for (i=0; i<m; i++) {
266: lx[i] = M/m + ((M % m) > i);
267: }
268: }
269: x = lx[rank % m];
270: xs = 0;
271: for (i=0; i<(rank % m); i++) {
272: xs += lx[i];
273: }
274: #if defined(PETSC_USE_DEBUG)
275: left = xs;
276: for (i=(rank % m); i<m; i++) {
277: left += lx[i];
278: }
279: if (left != M) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Sum of lx across processors not equal to M: %D %D",left,M);
280: #endif
282: /*
283: Determine locally owned region
284: ys is the first local node number, y is the number of local nodes
285: */
286: if (!ly) {
287: PetscMalloc1(n, &dd->ly);
288: ly = dd->ly;
289: for (i=0; i<n; i++) {
290: ly[i] = N/n + ((N % n) > i);
291: }
292: }
293: y = ly[rank/m];
294: ys = 0;
295: for (i=0; i<(rank/m); i++) {
296: ys += ly[i];
297: }
298: #if defined(PETSC_USE_DEBUG)
299: left = ys;
300: for (i=(rank/m); i<n; i++) {
301: left += ly[i];
302: }
303: if (left != N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Sum of ly across processors not equal to N: %D %D",left,N);
304: #endif
306: /*
307: check if the scatter requires more than one process neighbor or wraps around
308: the domain more than once
309: */
310: 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);
311: 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);
312: xe = xs + x;
313: ye = ys + y;
315: /* determine ghost region (Xs) and region scattered into (IXs) */
316: if (xs-s > 0) {
317: Xs = xs - s; IXs = xs - s;
318: } else {
319: if (bx) {
320: Xs = xs - s;
321: } else {
322: Xs = 0;
323: }
324: IXs = 0;
325: }
326: if (xe+s <= M) {
327: Xe = xe + s; IXe = xe + s;
328: } else {
329: if (bx) {
330: Xs = xs - s; Xe = xe + s;
331: } else {
332: Xe = M;
333: }
334: IXe = M;
335: }
337: if (bx == DM_BOUNDARY_PERIODIC || bx == DM_BOUNDARY_MIRROR) {
338: IXs = xs - s;
339: IXe = xe + s;
340: Xs = xs - s;
341: Xe = xe + s;
342: }
344: if (ys-s > 0) {
345: Ys = ys - s; IYs = ys - s;
346: } else {
347: if (by) {
348: Ys = ys - s;
349: } else {
350: Ys = 0;
351: }
352: IYs = 0;
353: }
354: if (ye+s <= N) {
355: Ye = ye + s; IYe = ye + s;
356: } else {
357: if (by) {
358: Ye = ye + s;
359: } else {
360: Ye = N;
361: }
362: IYe = N;
363: }
365: if (by == DM_BOUNDARY_PERIODIC || by == DM_BOUNDARY_MIRROR) {
366: IYs = ys - s;
367: IYe = ye + s;
368: Ys = ys - s;
369: Ye = ye + s;
370: }
372: /* stencil length in each direction */
373: s_x = s;
374: s_y = s;
376: /* determine starting point of each processor */
377: nn = x*y;
378: PetscMalloc2(size+1,&bases,size,&ldims);
379: MPI_Allgather(&nn,1,MPIU_INT,ldims,1,MPIU_INT,comm);
380: bases[0] = 0;
381: for (i=1; i<=size; i++) {
382: bases[i] = ldims[i-1];
383: }
384: for (i=1; i<=size; i++) {
385: bases[i] += bases[i-1];
386: }
387: base = bases[rank]*dof;
389: /* allocate the base parallel and sequential vectors */
390: dd->Nlocal = x*y*dof;
391: VecCreateMPIWithArray(comm,dof,dd->Nlocal,PETSC_DECIDE,NULL,&global);
392: dd->nlocal = (Xe-Xs)*(Ye-Ys)*dof;
393: VecCreateSeqWithArray(PETSC_COMM_SELF,dof,dd->nlocal,NULL,&local);
395: /* generate global to local vector scatter and local to global mapping*/
397: /* global to local must include ghost points within the domain,
398: but not ghost points outside the domain that aren't periodic */
399: PetscMalloc1((IXe-IXs)*(IYe-IYs),&idx);
400: if (stencil_type == DMDA_STENCIL_BOX) {
401: left = IXs - Xs; right = left + (IXe-IXs);
402: down = IYs - Ys; up = down + (IYe-IYs);
403: count = 0;
404: for (i=down; i<up; i++) {
405: for (j=left; j<right; j++) {
406: idx[count++] = j + i*(Xe-Xs);
407: }
408: }
409: ISCreateBlock(comm,dof,count,idx,PETSC_OWN_POINTER,&to);
411: } else {
412: /* must drop into cross shape region */
413: /* ---------|
414: | top |
415: |--- ---| up
416: | middle |
417: | |
418: ---- ---- down
419: | bottom |
420: -----------
421: Xs xs xe Xe */
422: left = xs - Xs; right = left + x;
423: down = ys - Ys; up = down + y;
424: count = 0;
425: /* bottom */
426: for (i=(IYs-Ys); i<down; i++) {
427: for (j=left; j<right; j++) {
428: idx[count++] = j + i*(Xe-Xs);
429: }
430: }
431: /* middle */
432: for (i=down; i<up; i++) {
433: for (j=(IXs-Xs); j<(IXe-Xs); j++) {
434: idx[count++] = j + i*(Xe-Xs);
435: }
436: }
437: /* top */
438: for (i=up; i<up+IYe-ye; i++) {
439: for (j=left; j<right; j++) {
440: idx[count++] = j + i*(Xe-Xs);
441: }
442: }
443: ISCreateBlock(comm,dof,count,idx,PETSC_OWN_POINTER,&to);
444: }
447: /* determine who lies on each side of us stored in n6 n7 n8
448: n3 n5
449: n0 n1 n2
450: */
452: /* Assume the Non-Periodic Case */
453: n1 = rank - m;
454: if (rank % m) {
455: n0 = n1 - 1;
456: } else {
457: n0 = -1;
458: }
459: if ((rank+1) % m) {
460: n2 = n1 + 1;
461: n5 = rank + 1;
462: n8 = rank + m + 1; if (n8 >= m*n) n8 = -1;
463: } else {
464: n2 = -1; n5 = -1; n8 = -1;
465: }
466: if (rank % m) {
467: n3 = rank - 1;
468: n6 = n3 + m; if (n6 >= m*n) n6 = -1;
469: } else {
470: n3 = -1; n6 = -1;
471: }
472: n7 = rank + m; if (n7 >= m*n) n7 = -1;
474: if (bx == DM_BOUNDARY_PERIODIC && by == DM_BOUNDARY_PERIODIC) {
475: /* Modify for Periodic Cases */
476: /* Handle all four corners */
477: if ((n6 < 0) && (n7 < 0) && (n3 < 0)) n6 = m-1;
478: if ((n8 < 0) && (n7 < 0) && (n5 < 0)) n8 = 0;
479: if ((n2 < 0) && (n5 < 0) && (n1 < 0)) n2 = size-m;
480: if ((n0 < 0) && (n3 < 0) && (n1 < 0)) n0 = size-1;
482: /* Handle Top and Bottom Sides */
483: if (n1 < 0) n1 = rank + m * (n-1);
484: if (n7 < 0) n7 = rank - m * (n-1);
485: if ((n3 >= 0) && (n0 < 0)) n0 = size - m + rank - 1;
486: if ((n3 >= 0) && (n6 < 0)) n6 = (rank%m)-1;
487: if ((n5 >= 0) && (n2 < 0)) n2 = size - m + rank + 1;
488: if ((n5 >= 0) && (n8 < 0)) n8 = (rank%m)+1;
490: /* Handle Left and Right Sides */
491: if (n3 < 0) n3 = rank + (m-1);
492: if (n5 < 0) n5 = rank - (m-1);
493: if ((n1 >= 0) && (n0 < 0)) n0 = rank-1;
494: if ((n1 >= 0) && (n2 < 0)) n2 = rank-2*m+1;
495: if ((n7 >= 0) && (n6 < 0)) n6 = rank+2*m-1;
496: if ((n7 >= 0) && (n8 < 0)) n8 = rank+1;
497: } else if (by == DM_BOUNDARY_PERIODIC) { /* Handle Top and Bottom Sides */
498: if (n1 < 0) n1 = rank + m * (n-1);
499: if (n7 < 0) n7 = rank - m * (n-1);
500: if ((n3 >= 0) && (n0 < 0)) n0 = size - m + rank - 1;
501: if ((n3 >= 0) && (n6 < 0)) n6 = (rank%m)-1;
502: if ((n5 >= 0) && (n2 < 0)) n2 = size - m + rank + 1;
503: if ((n5 >= 0) && (n8 < 0)) n8 = (rank%m)+1;
504: } else if (bx == DM_BOUNDARY_PERIODIC) { /* Handle Left and Right Sides */
505: if (n3 < 0) n3 = rank + (m-1);
506: if (n5 < 0) n5 = rank - (m-1);
507: if ((n1 >= 0) && (n0 < 0)) n0 = rank-1;
508: if ((n1 >= 0) && (n2 < 0)) n2 = rank-2*m+1;
509: if ((n7 >= 0) && (n6 < 0)) n6 = rank+2*m-1;
510: if ((n7 >= 0) && (n8 < 0)) n8 = rank+1;
511: }
513: PetscMalloc1(9,&dd->neighbors);
515: dd->neighbors[0] = n0;
516: dd->neighbors[1] = n1;
517: dd->neighbors[2] = n2;
518: dd->neighbors[3] = n3;
519: dd->neighbors[4] = rank;
520: dd->neighbors[5] = n5;
521: dd->neighbors[6] = n6;
522: dd->neighbors[7] = n7;
523: dd->neighbors[8] = n8;
525: if (stencil_type == DMDA_STENCIL_STAR) {
526: /* save corner processor numbers */
527: sn0 = n0; sn2 = n2; sn6 = n6; sn8 = n8;
528: n0 = n2 = n6 = n8 = -1;
529: }
531: PetscMalloc1((Xe-Xs)*(Ye-Ys),&idx);
533: nn = 0;
534: xbase = bases[rank];
535: for (i=1; i<=s_y; i++) {
536: if (n0 >= 0) { /* left below */
537: x_t = lx[n0 % m];
538: y_t = ly[(n0/m)];
539: s_t = bases[n0] + x_t*y_t - (s_y-i)*x_t - s_x;
540: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
541: }
543: if (n1 >= 0) { /* directly below */
544: x_t = x;
545: y_t = ly[(n1/m)];
546: s_t = bases[n1] + x_t*y_t - (s_y+1-i)*x_t;
547: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
548: } else if (by == DM_BOUNDARY_MIRROR) {
549: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(s_y - i + 1) + j;
550: }
552: if (n2 >= 0) { /* right below */
553: x_t = lx[n2 % m];
554: y_t = ly[(n2/m)];
555: s_t = bases[n2] + x_t*y_t - (s_y+1-i)*x_t;
556: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
557: }
558: }
560: for (i=0; i<y; i++) {
561: if (n3 >= 0) { /* directly left */
562: x_t = lx[n3 % m];
563: /* y_t = y; */
564: s_t = bases[n3] + (i+1)*x_t - s_x;
565: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
566: } else if (bx == DM_BOUNDARY_MIRROR) {
567: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*i + s_x - j;
568: }
570: for (j=0; j<x; j++) idx[nn++] = xbase++; /* interior */
572: if (n5 >= 0) { /* directly right */
573: x_t = lx[n5 % m];
574: /* y_t = y; */
575: s_t = bases[n5] + (i)*x_t;
576: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
577: } else if (bx == DM_BOUNDARY_MIRROR) {
578: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*(i + 1) - 2 - j;
579: }
580: }
582: for (i=1; i<=s_y; i++) {
583: if (n6 >= 0) { /* left above */
584: x_t = lx[n6 % m];
585: /* y_t = ly[(n6/m)]; */
586: s_t = bases[n6] + (i)*x_t - s_x;
587: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
588: }
590: if (n7 >= 0) { /* directly above */
591: x_t = x;
592: /* y_t = ly[(n7/m)]; */
593: s_t = bases[n7] + (i-1)*x_t;
594: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
595: } else if (by == DM_BOUNDARY_MIRROR) {
596: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(y - i - 1) + j;
597: }
599: if (n8 >= 0) { /* right above */
600: x_t = lx[n8 % m];
601: /* y_t = ly[(n8/m)]; */
602: s_t = bases[n8] + (i-1)*x_t;
603: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
604: }
605: }
607: ISCreateBlock(comm,dof,nn,idx,PETSC_USE_POINTER,&from);
608: VecScatterCreate(global,from,local,to,>ol);
609: PetscLogObjectParent((PetscObject)da,(PetscObject)gtol);
610: ISDestroy(&to);
611: ISDestroy(&from);
613: if (stencil_type == DMDA_STENCIL_STAR) {
614: n0 = sn0; n2 = sn2; n6 = sn6; n8 = sn8;
615: }
617: if (((stencil_type == DMDA_STENCIL_STAR) || (bx && bx != DM_BOUNDARY_PERIODIC) || (by && by != DM_BOUNDARY_PERIODIC))) {
618: /*
619: Recompute the local to global mappings, this time keeping the
620: information about the cross corner processor numbers and any ghosted
621: but not periodic indices.
622: */
623: nn = 0;
624: xbase = bases[rank];
625: for (i=1; i<=s_y; i++) {
626: if (n0 >= 0) { /* left below */
627: x_t = lx[n0 % m];
628: y_t = ly[(n0/m)];
629: s_t = bases[n0] + x_t*y_t - (s_y-i)*x_t - s_x;
630: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
631: } else if (xs-Xs > 0 && ys-Ys > 0) {
632: for (j=0; j<s_x; j++) idx[nn++] = -1;
633: }
634: if (n1 >= 0) { /* directly below */
635: x_t = x;
636: y_t = ly[(n1/m)];
637: s_t = bases[n1] + x_t*y_t - (s_y+1-i)*x_t;
638: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
639: } else if (ys-Ys > 0) {
640: if (by == DM_BOUNDARY_MIRROR) {
641: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(s_y - i + 1) + j;
642: } else {
643: for (j=0; j<x; j++) idx[nn++] = -1;
644: }
645: }
646: if (n2 >= 0) { /* right below */
647: x_t = lx[n2 % m];
648: y_t = ly[(n2/m)];
649: s_t = bases[n2] + x_t*y_t - (s_y+1-i)*x_t;
650: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
651: } else if (Xe-xe> 0 && ys-Ys > 0) {
652: for (j=0; j<s_x; j++) idx[nn++] = -1;
653: }
654: }
656: for (i=0; i<y; i++) {
657: if (n3 >= 0) { /* directly left */
658: x_t = lx[n3 % m];
659: /* y_t = y; */
660: s_t = bases[n3] + (i+1)*x_t - s_x;
661: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
662: } else if (xs-Xs > 0) {
663: if (bx == DM_BOUNDARY_MIRROR) {
664: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*i + s_x - j;
665: } else {
666: for (j=0; j<s_x; j++) idx[nn++] = -1;
667: }
668: }
670: for (j=0; j<x; j++) idx[nn++] = xbase++; /* interior */
672: if (n5 >= 0) { /* directly right */
673: x_t = lx[n5 % m];
674: /* y_t = y; */
675: s_t = bases[n5] + (i)*x_t;
676: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
677: } else if (Xe-xe > 0) {
678: if (bx == DM_BOUNDARY_MIRROR) {
679: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*(i + 1) - 2 - j;
680: } else {
681: for (j=0; j<s_x; j++) idx[nn++] = -1;
682: }
683: }
684: }
686: for (i=1; i<=s_y; i++) {
687: if (n6 >= 0) { /* left above */
688: x_t = lx[n6 % m];
689: /* y_t = ly[(n6/m)]; */
690: s_t = bases[n6] + (i)*x_t - s_x;
691: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
692: } else if (xs-Xs > 0 && Ye-ye > 0) {
693: for (j=0; j<s_x; j++) idx[nn++] = -1;
694: }
695: if (n7 >= 0) { /* directly above */
696: x_t = x;
697: /* y_t = ly[(n7/m)]; */
698: s_t = bases[n7] + (i-1)*x_t;
699: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
700: } else if (Ye-ye > 0) {
701: if (by == DM_BOUNDARY_MIRROR) {
702: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(y - i - 1) + j;
703: } else {
704: for (j=0; j<x; j++) idx[nn++] = -1;
705: }
706: }
707: if (n8 >= 0) { /* right above */
708: x_t = lx[n8 % m];
709: /* y_t = ly[(n8/m)]; */
710: s_t = bases[n8] + (i-1)*x_t;
711: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
712: } else if (Xe-xe > 0 && Ye-ye > 0) {
713: for (j=0; j<s_x; j++) idx[nn++] = -1;
714: }
715: }
716: }
717: /*
718: Set the local to global ordering in the global vector, this allows use
719: of VecSetValuesLocal().
720: */
721: ISLocalToGlobalMappingCreate(comm,dof,nn,idx,PETSC_OWN_POINTER,&da->ltogmap);
722: PetscLogObjectParent((PetscObject)da,(PetscObject)da->ltogmap);
724: PetscFree2(bases,ldims);
725: dd->m = m; dd->n = n;
726: /* note petsc expects xs/xe/Xs/Xe to be multiplied by #dofs in many places */
727: dd->xs = xs*dof; dd->xe = xe*dof; dd->ys = ys; dd->ye = ye; dd->zs = 0; dd->ze = 1;
728: dd->Xs = Xs*dof; dd->Xe = Xe*dof; dd->Ys = Ys; dd->Ye = Ye; dd->Zs = 0; dd->Ze = 1;
730: VecDestroy(&local);
731: VecDestroy(&global);
733: dd->gtol = gtol;
734: dd->base = base;
735: da->ops->view = DMView_DA_2d;
736: dd->ltol = NULL;
737: dd->ao = NULL;
738: return(0);
739: }
741: /*@C
742: DMDACreate2d - Creates an object that will manage the communication of two-dimensional
743: regular array data that is distributed across some processors.
745: Collective
747: Input Parameters:
748: + comm - MPI communicator
749: . bx,by - type of ghost nodes the array have.
750: Use one of DM_BOUNDARY_NONE, DM_BOUNDARY_GHOSTED, DM_BOUNDARY_PERIODIC.
751: . stencil_type - stencil type. Use either DMDA_STENCIL_BOX or DMDA_STENCIL_STAR.
752: . M,N - global dimension in each direction of the array
753: . m,n - corresponding number of processors in each dimension
754: (or PETSC_DECIDE to have calculated)
755: . dof - number of degrees of freedom per node
756: . s - stencil width
757: - lx, ly - arrays containing the number of nodes in each cell along
758: the x and y coordinates, or NULL. If non-null, these
759: must be of length as m and n, and the corresponding
760: m and n cannot be PETSC_DECIDE. The sum of the lx[] entries
761: must be M, and the sum of the ly[] entries must be N.
763: Output Parameter:
764: . da - the resulting distributed array object
766: Options Database Key:
767: + -dm_view - Calls DMView() at the conclusion of DMDACreate2d()
768: . -da_grid_x <nx> - number of grid points in x direction
769: . -da_grid_y <ny> - number of grid points in y direction
770: . -da_processors_x <nx> - number of processors in x direction
771: . -da_processors_y <ny> - number of processors in y direction
772: . -da_refine_x <rx> - refinement ratio in x direction
773: . -da_refine_y <ry> - refinement ratio in y direction
774: - -da_refine <n> - refine the DMDA n times before creating
777: Level: beginner
779: Notes:
780: The stencil type DMDA_STENCIL_STAR with width 1 corresponds to the
781: standard 5-pt stencil, while DMDA_STENCIL_BOX with width 1 denotes
782: the standard 9-pt stencil.
784: The array data itself is NOT stored in the DMDA, it is stored in Vec objects;
785: The appropriate vector objects can be obtained with calls to DMCreateGlobalVector()
786: and DMCreateLocalVector() and calls to VecDuplicate() if more are needed.
788: You must call DMSetUp() after this call before using this DM.
790: If you wish to use the options database to change values in the DMDA call DMSetFromOptions() after this call
791: but before DMSetUp().
793: .seealso: DMDestroy(), DMView(), DMDACreate1d(), DMDACreate3d(), DMGlobalToLocalBegin(), DMDAGetRefinementFactor(),
794: DMGlobalToLocalEnd(), DMLocalToGlobalBegin(), DMLocalToLocalBegin(), DMLocalToLocalEnd(), DMDASetRefinementFactor(),
795: DMDAGetInfo(), DMCreateGlobalVector(), DMCreateLocalVector(), DMDACreateNaturalVector(), DMLoad(), DMDAGetOwnershipRanges(),
796: DMStagCreate2d()
798: @*/
800: PetscErrorCode DMDACreate2d(MPI_Comm comm,DMBoundaryType bx,DMBoundaryType by,DMDAStencilType stencil_type,
801: PetscInt M,PetscInt N,PetscInt m,PetscInt n,PetscInt dof,PetscInt s,const PetscInt lx[],const PetscInt ly[],DM *da)
802: {
806: DMDACreate(comm, da);
807: DMSetDimension(*da, 2);
808: DMDASetSizes(*da, M, N, 1);
809: DMDASetNumProcs(*da, m, n, PETSC_DECIDE);
810: DMDASetBoundaryType(*da, bx, by, DM_BOUNDARY_NONE);
811: DMDASetDof(*da, dof);
812: DMDASetStencilType(*da, stencil_type);
813: DMDASetStencilWidth(*da, s);
814: DMDASetOwnershipRanges(*da, lx, ly, NULL);
815: return(0);
816: }