Actual source code: da2.c
petsc-3.12.5 2020-03-29
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: if (dof < 1) SETERRQ1(comm,PETSC_ERR_ARG_OUTOFRANGE,"Must have 1 or more degrees of freedom per node: %D",dof);
224: if (s < 0) SETERRQ1(comm,PETSC_ERR_ARG_OUTOFRANGE,"Stencil width cannot be negative: %D",s);
226: MPI_Comm_size(comm,&size);
227: MPI_Comm_rank(comm,&rank);
229: dd->p = 1;
230: if (m != PETSC_DECIDE) {
231: if (m < 1) SETERRQ1(comm,PETSC_ERR_ARG_OUTOFRANGE,"Non-positive number of processors in X direction: %D",m);
232: else if (m > size) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Too many processors in X direction: %D %d",m,size);
233: }
234: if (n != PETSC_DECIDE) {
235: if (n < 1) SETERRQ1(comm,PETSC_ERR_ARG_OUTOFRANGE,"Non-positive number of processors in Y direction: %D",n);
236: else if (n > size) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Too many processors in Y direction: %D %d",n,size);
237: }
239: if (m == PETSC_DECIDE || n == PETSC_DECIDE) {
240: if (n != PETSC_DECIDE) {
241: m = size/n;
242: } else if (m != PETSC_DECIDE) {
243: n = size/m;
244: } else {
245: /* try for squarish distribution */
246: m = (PetscInt)(0.5 + PetscSqrtReal(((PetscReal)M)*((PetscReal)size)/((PetscReal)N)));
247: if (!m) m = 1;
248: while (m > 0) {
249: n = size/m;
250: if (m*n == size) break;
251: m--;
252: }
253: if (M > N && m < n) {PetscInt _m = m; m = n; n = _m;}
254: }
255: if (m*n != size) SETERRQ(comm,PETSC_ERR_PLIB,"Unable to create partition, check the size of the communicator and input m and n ");
256: } else if (m*n != size) SETERRQ(comm,PETSC_ERR_ARG_OUTOFRANGE,"Given Bad partition");
258: if (M < m) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Partition in x direction is too fine! %D %D",M,m);
259: if (N < n) SETERRQ2(comm,PETSC_ERR_ARG_OUTOFRANGE,"Partition in y direction is too fine! %D %D",N,n);
261: /*
262: Determine locally owned region
263: xs is the first local node number, x is the number of local nodes
264: */
265: if (!lx) {
266: PetscMalloc1(m, &dd->lx);
267: lx = dd->lx;
268: for (i=0; i<m; i++) {
269: lx[i] = M/m + ((M % m) > i);
270: }
271: }
272: x = lx[rank % m];
273: xs = 0;
274: for (i=0; i<(rank % m); i++) {
275: xs += lx[i];
276: }
277: #if defined(PETSC_USE_DEBUG)
278: left = xs;
279: for (i=(rank % m); i<m; i++) {
280: left += lx[i];
281: }
282: if (left != M) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Sum of lx across processors not equal to M: %D %D",left,M);
283: #endif
285: /*
286: Determine locally owned region
287: ys is the first local node number, y is the number of local nodes
288: */
289: if (!ly) {
290: PetscMalloc1(n, &dd->ly);
291: ly = dd->ly;
292: for (i=0; i<n; i++) {
293: ly[i] = N/n + ((N % n) > i);
294: }
295: }
296: y = ly[rank/m];
297: ys = 0;
298: for (i=0; i<(rank/m); i++) {
299: ys += ly[i];
300: }
301: #if defined(PETSC_USE_DEBUG)
302: left = ys;
303: for (i=(rank/m); i<n; i++) {
304: left += ly[i];
305: }
306: if (left != N) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Sum of ly across processors not equal to N: %D %D",left,N);
307: #endif
309: /*
310: check if the scatter requires more than one process neighbor or wraps around
311: the domain more than once
312: */
313: 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);
314: 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);
315: xe = xs + x;
316: ye = ys + y;
318: /* determine ghost region (Xs) and region scattered into (IXs) */
319: if (xs-s > 0) {
320: Xs = xs - s; IXs = xs - s;
321: } else {
322: if (bx) {
323: Xs = xs - s;
324: } else {
325: Xs = 0;
326: }
327: IXs = 0;
328: }
329: if (xe+s <= M) {
330: Xe = xe + s; IXe = xe + s;
331: } else {
332: if (bx) {
333: Xs = xs - s; Xe = xe + s;
334: } else {
335: Xe = M;
336: }
337: IXe = M;
338: }
340: if (bx == DM_BOUNDARY_PERIODIC || bx == DM_BOUNDARY_MIRROR) {
341: IXs = xs - s;
342: IXe = xe + s;
343: Xs = xs - s;
344: Xe = xe + s;
345: }
347: if (ys-s > 0) {
348: Ys = ys - s; IYs = ys - s;
349: } else {
350: if (by) {
351: Ys = ys - s;
352: } else {
353: Ys = 0;
354: }
355: IYs = 0;
356: }
357: if (ye+s <= N) {
358: Ye = ye + s; IYe = ye + s;
359: } else {
360: if (by) {
361: Ye = ye + s;
362: } else {
363: Ye = N;
364: }
365: IYe = N;
366: }
368: if (by == DM_BOUNDARY_PERIODIC || by == DM_BOUNDARY_MIRROR) {
369: IYs = ys - s;
370: IYe = ye + s;
371: Ys = ys - s;
372: Ye = ye + s;
373: }
375: /* stencil length in each direction */
376: s_x = s;
377: s_y = s;
379: /* determine starting point of each processor */
380: nn = x*y;
381: PetscMalloc2(size+1,&bases,size,&ldims);
382: MPI_Allgather(&nn,1,MPIU_INT,ldims,1,MPIU_INT,comm);
383: bases[0] = 0;
384: for (i=1; i<=size; i++) {
385: bases[i] = ldims[i-1];
386: }
387: for (i=1; i<=size; i++) {
388: bases[i] += bases[i-1];
389: }
390: base = bases[rank]*dof;
392: /* allocate the base parallel and sequential vectors */
393: dd->Nlocal = x*y*dof;
394: VecCreateMPIWithArray(comm,dof,dd->Nlocal,PETSC_DECIDE,NULL,&global);
395: dd->nlocal = (Xe-Xs)*(Ye-Ys)*dof;
396: VecCreateSeqWithArray(PETSC_COMM_SELF,dof,dd->nlocal,NULL,&local);
398: /* generate global to local vector scatter and local to global mapping*/
400: /* global to local must include ghost points within the domain,
401: but not ghost points outside the domain that aren't periodic */
402: PetscMalloc1((IXe-IXs)*(IYe-IYs),&idx);
403: if (stencil_type == DMDA_STENCIL_BOX) {
404: left = IXs - Xs; right = left + (IXe-IXs);
405: down = IYs - Ys; up = down + (IYe-IYs);
406: count = 0;
407: for (i=down; i<up; i++) {
408: for (j=left; j<right; j++) {
409: idx[count++] = j + i*(Xe-Xs);
410: }
411: }
412: ISCreateBlock(comm,dof,count,idx,PETSC_OWN_POINTER,&to);
414: } else {
415: /* must drop into cross shape region */
416: /* ---------|
417: | top |
418: |--- ---| up
419: | middle |
420: | |
421: ---- ---- down
422: | bottom |
423: -----------
424: Xs xs xe Xe */
425: left = xs - Xs; right = left + x;
426: down = ys - Ys; up = down + y;
427: count = 0;
428: /* bottom */
429: for (i=(IYs-Ys); i<down; i++) {
430: for (j=left; j<right; j++) {
431: idx[count++] = j + i*(Xe-Xs);
432: }
433: }
434: /* middle */
435: for (i=down; i<up; i++) {
436: for (j=(IXs-Xs); j<(IXe-Xs); j++) {
437: idx[count++] = j + i*(Xe-Xs);
438: }
439: }
440: /* top */
441: for (i=up; i<up+IYe-ye; i++) {
442: for (j=left; j<right; j++) {
443: idx[count++] = j + i*(Xe-Xs);
444: }
445: }
446: ISCreateBlock(comm,dof,count,idx,PETSC_OWN_POINTER,&to);
447: }
450: /* determine who lies on each side of us stored in n6 n7 n8
451: n3 n5
452: n0 n1 n2
453: */
455: /* Assume the Non-Periodic Case */
456: n1 = rank - m;
457: if (rank % m) {
458: n0 = n1 - 1;
459: } else {
460: n0 = -1;
461: }
462: if ((rank+1) % m) {
463: n2 = n1 + 1;
464: n5 = rank + 1;
465: n8 = rank + m + 1; if (n8 >= m*n) n8 = -1;
466: } else {
467: n2 = -1; n5 = -1; n8 = -1;
468: }
469: if (rank % m) {
470: n3 = rank - 1;
471: n6 = n3 + m; if (n6 >= m*n) n6 = -1;
472: } else {
473: n3 = -1; n6 = -1;
474: }
475: n7 = rank + m; if (n7 >= m*n) n7 = -1;
477: if (bx == DM_BOUNDARY_PERIODIC && by == DM_BOUNDARY_PERIODIC) {
478: /* Modify for Periodic Cases */
479: /* Handle all four corners */
480: if ((n6 < 0) && (n7 < 0) && (n3 < 0)) n6 = m-1;
481: if ((n8 < 0) && (n7 < 0) && (n5 < 0)) n8 = 0;
482: if ((n2 < 0) && (n5 < 0) && (n1 < 0)) n2 = size-m;
483: if ((n0 < 0) && (n3 < 0) && (n1 < 0)) n0 = size-1;
485: /* Handle Top and Bottom Sides */
486: if (n1 < 0) n1 = rank + m * (n-1);
487: if (n7 < 0) n7 = rank - m * (n-1);
488: if ((n3 >= 0) && (n0 < 0)) n0 = size - m + rank - 1;
489: if ((n3 >= 0) && (n6 < 0)) n6 = (rank%m)-1;
490: if ((n5 >= 0) && (n2 < 0)) n2 = size - m + rank + 1;
491: if ((n5 >= 0) && (n8 < 0)) n8 = (rank%m)+1;
493: /* Handle Left and Right Sides */
494: if (n3 < 0) n3 = rank + (m-1);
495: if (n5 < 0) n5 = rank - (m-1);
496: if ((n1 >= 0) && (n0 < 0)) n0 = rank-1;
497: if ((n1 >= 0) && (n2 < 0)) n2 = rank-2*m+1;
498: if ((n7 >= 0) && (n6 < 0)) n6 = rank+2*m-1;
499: if ((n7 >= 0) && (n8 < 0)) n8 = rank+1;
500: } else if (by == DM_BOUNDARY_PERIODIC) { /* Handle Top and Bottom Sides */
501: if (n1 < 0) n1 = rank + m * (n-1);
502: if (n7 < 0) n7 = rank - m * (n-1);
503: if ((n3 >= 0) && (n0 < 0)) n0 = size - m + rank - 1;
504: if ((n3 >= 0) && (n6 < 0)) n6 = (rank%m)-1;
505: if ((n5 >= 0) && (n2 < 0)) n2 = size - m + rank + 1;
506: if ((n5 >= 0) && (n8 < 0)) n8 = (rank%m)+1;
507: } else if (bx == DM_BOUNDARY_PERIODIC) { /* Handle Left and Right Sides */
508: if (n3 < 0) n3 = rank + (m-1);
509: if (n5 < 0) n5 = rank - (m-1);
510: if ((n1 >= 0) && (n0 < 0)) n0 = rank-1;
511: if ((n1 >= 0) && (n2 < 0)) n2 = rank-2*m+1;
512: if ((n7 >= 0) && (n6 < 0)) n6 = rank+2*m-1;
513: if ((n7 >= 0) && (n8 < 0)) n8 = rank+1;
514: }
516: PetscMalloc1(9,&dd->neighbors);
518: dd->neighbors[0] = n0;
519: dd->neighbors[1] = n1;
520: dd->neighbors[2] = n2;
521: dd->neighbors[3] = n3;
522: dd->neighbors[4] = rank;
523: dd->neighbors[5] = n5;
524: dd->neighbors[6] = n6;
525: dd->neighbors[7] = n7;
526: dd->neighbors[8] = n8;
528: if (stencil_type == DMDA_STENCIL_STAR) {
529: /* save corner processor numbers */
530: sn0 = n0; sn2 = n2; sn6 = n6; sn8 = n8;
531: n0 = n2 = n6 = n8 = -1;
532: }
534: PetscMalloc1((Xe-Xs)*(Ye-Ys),&idx);
536: nn = 0;
537: xbase = bases[rank];
538: for (i=1; i<=s_y; i++) {
539: if (n0 >= 0) { /* left below */
540: x_t = lx[n0 % m];
541: y_t = ly[(n0/m)];
542: s_t = bases[n0] + x_t*y_t - (s_y-i)*x_t - s_x;
543: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
544: }
546: if (n1 >= 0) { /* directly below */
547: x_t = x;
548: y_t = ly[(n1/m)];
549: s_t = bases[n1] + x_t*y_t - (s_y+1-i)*x_t;
550: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
551: } else if (by == DM_BOUNDARY_MIRROR) {
552: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(s_y - i + 1) + j;
553: }
555: if (n2 >= 0) { /* right below */
556: x_t = lx[n2 % m];
557: y_t = ly[(n2/m)];
558: s_t = bases[n2] + x_t*y_t - (s_y+1-i)*x_t;
559: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
560: }
561: }
563: for (i=0; i<y; i++) {
564: if (n3 >= 0) { /* directly left */
565: x_t = lx[n3 % m];
566: /* y_t = y; */
567: s_t = bases[n3] + (i+1)*x_t - s_x;
568: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
569: } else if (bx == DM_BOUNDARY_MIRROR) {
570: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*i + s_x - j;
571: }
573: for (j=0; j<x; j++) idx[nn++] = xbase++; /* interior */
575: if (n5 >= 0) { /* directly right */
576: x_t = lx[n5 % m];
577: /* y_t = y; */
578: s_t = bases[n5] + (i)*x_t;
579: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
580: } else if (bx == DM_BOUNDARY_MIRROR) {
581: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*(i + 1) - 2 - j;
582: }
583: }
585: for (i=1; i<=s_y; i++) {
586: if (n6 >= 0) { /* left above */
587: x_t = lx[n6 % m];
588: /* y_t = ly[(n6/m)]; */
589: s_t = bases[n6] + (i)*x_t - s_x;
590: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
591: }
593: if (n7 >= 0) { /* directly above */
594: x_t = x;
595: /* y_t = ly[(n7/m)]; */
596: s_t = bases[n7] + (i-1)*x_t;
597: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
598: } else if (by == DM_BOUNDARY_MIRROR) {
599: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(y - i - 1) + j;
600: }
602: if (n8 >= 0) { /* right above */
603: x_t = lx[n8 % m];
604: /* y_t = ly[(n8/m)]; */
605: s_t = bases[n8] + (i-1)*x_t;
606: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
607: }
608: }
610: ISCreateBlock(comm,dof,nn,idx,PETSC_USE_POINTER,&from);
611: VecScatterCreate(global,from,local,to,>ol);
612: PetscLogObjectParent((PetscObject)da,(PetscObject)gtol);
613: ISDestroy(&to);
614: ISDestroy(&from);
616: if (stencil_type == DMDA_STENCIL_STAR) {
617: n0 = sn0; n2 = sn2; n6 = sn6; n8 = sn8;
618: }
620: if (((stencil_type == DMDA_STENCIL_STAR) || (bx && bx != DM_BOUNDARY_PERIODIC) || (by && by != DM_BOUNDARY_PERIODIC))) {
621: /*
622: Recompute the local to global mappings, this time keeping the
623: information about the cross corner processor numbers and any ghosted
624: but not periodic indices.
625: */
626: nn = 0;
627: xbase = bases[rank];
628: for (i=1; i<=s_y; i++) {
629: if (n0 >= 0) { /* left below */
630: x_t = lx[n0 % m];
631: y_t = ly[(n0/m)];
632: s_t = bases[n0] + x_t*y_t - (s_y-i)*x_t - s_x;
633: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
634: } else if (xs-Xs > 0 && ys-Ys > 0) {
635: for (j=0; j<s_x; j++) idx[nn++] = -1;
636: }
637: if (n1 >= 0) { /* directly below */
638: x_t = x;
639: y_t = ly[(n1/m)];
640: s_t = bases[n1] + x_t*y_t - (s_y+1-i)*x_t;
641: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
642: } else if (ys-Ys > 0) {
643: if (by == DM_BOUNDARY_MIRROR) {
644: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(s_y - i + 1) + j;
645: } else {
646: for (j=0; j<x; j++) idx[nn++] = -1;
647: }
648: }
649: if (n2 >= 0) { /* right below */
650: x_t = lx[n2 % m];
651: y_t = ly[(n2/m)];
652: s_t = bases[n2] + x_t*y_t - (s_y+1-i)*x_t;
653: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
654: } else if (Xe-xe> 0 && ys-Ys > 0) {
655: for (j=0; j<s_x; j++) idx[nn++] = -1;
656: }
657: }
659: for (i=0; i<y; i++) {
660: if (n3 >= 0) { /* directly left */
661: x_t = lx[n3 % m];
662: /* y_t = y; */
663: s_t = bases[n3] + (i+1)*x_t - s_x;
664: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
665: } else if (xs-Xs > 0) {
666: if (bx == DM_BOUNDARY_MIRROR) {
667: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*i + s_x - j;
668: } else {
669: for (j=0; j<s_x; j++) idx[nn++] = -1;
670: }
671: }
673: for (j=0; j<x; j++) idx[nn++] = xbase++; /* interior */
675: if (n5 >= 0) { /* directly right */
676: x_t = lx[n5 % m];
677: /* y_t = y; */
678: s_t = bases[n5] + (i)*x_t;
679: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
680: } else if (Xe-xe > 0) {
681: if (bx == DM_BOUNDARY_MIRROR) {
682: for (j=0; j<s_x; j++) idx[nn++] = bases[rank] + x*(i + 1) - 2 - j;
683: } else {
684: for (j=0; j<s_x; j++) idx[nn++] = -1;
685: }
686: }
687: }
689: for (i=1; i<=s_y; i++) {
690: if (n6 >= 0) { /* left above */
691: x_t = lx[n6 % m];
692: /* y_t = ly[(n6/m)]; */
693: s_t = bases[n6] + (i)*x_t - s_x;
694: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
695: } else if (xs-Xs > 0 && Ye-ye > 0) {
696: for (j=0; j<s_x; j++) idx[nn++] = -1;
697: }
698: if (n7 >= 0) { /* directly above */
699: x_t = x;
700: /* y_t = ly[(n7/m)]; */
701: s_t = bases[n7] + (i-1)*x_t;
702: for (j=0; j<x_t; j++) idx[nn++] = s_t++;
703: } else if (Ye-ye > 0) {
704: if (by == DM_BOUNDARY_MIRROR) {
705: for (j=0; j<x; j++) idx[nn++] = bases[rank] + x*(y - i - 1) + j;
706: } else {
707: for (j=0; j<x; j++) idx[nn++] = -1;
708: }
709: }
710: if (n8 >= 0) { /* right above */
711: x_t = lx[n8 % m];
712: /* y_t = ly[(n8/m)]; */
713: s_t = bases[n8] + (i-1)*x_t;
714: for (j=0; j<s_x; j++) idx[nn++] = s_t++;
715: } else if (Xe-xe > 0 && Ye-ye > 0) {
716: for (j=0; j<s_x; j++) idx[nn++] = -1;
717: }
718: }
719: }
720: /*
721: Set the local to global ordering in the global vector, this allows use
722: of VecSetValuesLocal().
723: */
724: ISLocalToGlobalMappingCreate(comm,dof,nn,idx,PETSC_OWN_POINTER,&da->ltogmap);
725: PetscLogObjectParent((PetscObject)da,(PetscObject)da->ltogmap);
727: PetscFree2(bases,ldims);
728: dd->m = m; dd->n = n;
729: /* note petsc expects xs/xe/Xs/Xe to be multiplied by #dofs in many places */
730: dd->xs = xs*dof; dd->xe = xe*dof; dd->ys = ys; dd->ye = ye; dd->zs = 0; dd->ze = 1;
731: dd->Xs = Xs*dof; dd->Xe = Xe*dof; dd->Ys = Ys; dd->Ye = Ye; dd->Zs = 0; dd->Ze = 1;
733: VecDestroy(&local);
734: VecDestroy(&global);
736: dd->gtol = gtol;
737: dd->base = base;
738: da->ops->view = DMView_DA_2d;
739: dd->ltol = NULL;
740: dd->ao = NULL;
741: return(0);
742: }
744: /*@C
745: DMDACreate2d - Creates an object that will manage the communication of two-dimensional
746: regular array data that is distributed across some processors.
748: Collective
750: Input Parameters:
751: + comm - MPI communicator
752: . bx,by - type of ghost nodes the array have.
753: Use one of DM_BOUNDARY_NONE, DM_BOUNDARY_GHOSTED, DM_BOUNDARY_PERIODIC.
754: . stencil_type - stencil type. Use either DMDA_STENCIL_BOX or DMDA_STENCIL_STAR.
755: . M,N - global dimension in each direction of the array
756: . m,n - corresponding number of processors in each dimension
757: (or PETSC_DECIDE to have calculated)
758: . dof - number of degrees of freedom per node
759: . s - stencil width
760: - lx, ly - arrays containing the number of nodes in each cell along
761: the x and y coordinates, or NULL. If non-null, these
762: must be of length as m and n, and the corresponding
763: m and n cannot be PETSC_DECIDE. The sum of the lx[] entries
764: must be M, and the sum of the ly[] entries must be N.
766: Output Parameter:
767: . da - the resulting distributed array object
769: Options Database Key:
770: + -dm_view - Calls DMView() at the conclusion of DMDACreate2d()
771: . -da_grid_x <nx> - number of grid points in x direction
772: . -da_grid_y <ny> - number of grid points in y direction
773: . -da_processors_x <nx> - number of processors in x direction
774: . -da_processors_y <ny> - number of processors in y direction
775: . -da_refine_x <rx> - refinement ratio in x direction
776: . -da_refine_y <ry> - refinement ratio in y direction
777: - -da_refine <n> - refine the DMDA n times before creating
780: Level: beginner
782: Notes:
783: The stencil type DMDA_STENCIL_STAR with width 1 corresponds to the
784: standard 5-pt stencil, while DMDA_STENCIL_BOX with width 1 denotes
785: the standard 9-pt stencil.
787: The array data itself is NOT stored in the DMDA, it is stored in Vec objects;
788: The appropriate vector objects can be obtained with calls to DMCreateGlobalVector()
789: and DMCreateLocalVector() and calls to VecDuplicate() if more are needed.
791: You must call DMSetUp() after this call before using this DM.
793: If you wish to use the options database to change values in the DMDA call DMSetFromOptions() after this call
794: but before DMSetUp().
796: .seealso: DMDestroy(), DMView(), DMDACreate1d(), DMDACreate3d(), DMGlobalToLocalBegin(), DMDAGetRefinementFactor(),
797: DMGlobalToLocalEnd(), DMLocalToGlobalBegin(), DMLocalToLocalBegin(), DMLocalToLocalEnd(), DMDASetRefinementFactor(),
798: DMDAGetInfo(), DMCreateGlobalVector(), DMCreateLocalVector(), DMDACreateNaturalVector(), DMLoad(), DMDAGetOwnershipRanges(),
799: DMStagCreate2d()
801: @*/
803: PetscErrorCode DMDACreate2d(MPI_Comm comm,DMBoundaryType bx,DMBoundaryType by,DMDAStencilType stencil_type,
804: PetscInt M,PetscInt N,PetscInt m,PetscInt n,PetscInt dof,PetscInt s,const PetscInt lx[],const PetscInt ly[],DM *da)
805: {
809: DMDACreate(comm, da);
810: DMSetDimension(*da, 2);
811: DMDASetSizes(*da, M, N, 1);
812: DMDASetNumProcs(*da, m, n, PETSC_DECIDE);
813: DMDASetBoundaryType(*da, bx, by, DM_BOUNDARY_NONE);
814: DMDASetDof(*da, dof);
815: DMDASetStencilType(*da, stencil_type);
816: DMDASetStencilWidth(*da, s);
817: DMDASetOwnershipRanges(*da, lx, ly, NULL);
818: return(0);
819: }