Actual source code: dalocal.c

  1: /*
  2:   Code for manipulating distributed regular arrays in parallel.
  3: */

  5: #include <petsc/private/dmdaimpl.h>
  6: #include <petscbt.h>
  7: #include <petscsf.h>
  8: #include <petscds.h>
  9: #include <petscfe.h>

 11: /*
 12:    This allows the DMDA vectors to properly tell MATLAB their dimensions
 13: */
 14: #if defined(PETSC_HAVE_MATLAB)
 15:   #include <engine.h> /* MATLAB include file */
 16:   #include <mex.h>    /* MATLAB include file */
 17: static PetscErrorCode VecMatlabEnginePut_DA2d(PetscObject obj, void *mengine)
 18: {
 19:   PetscInt     n, m;
 20:   Vec          vec = (Vec)obj;
 21:   PetscScalar *array;
 22:   mxArray     *mat;
 23:   DM           da;

 25:   PetscFunctionBegin;
 26:   PetscCall(VecGetDM(vec, &da));
 27:   PetscCheck(da, PetscObjectComm((PetscObject)vec), PETSC_ERR_ARG_WRONGSTATE, "Vector not associated with a DMDA");
 28:   PetscCall(DMDAGetGhostCorners(da, 0, 0, 0, &m, &n, 0));

 30:   PetscCall(VecGetArray(vec, &array));
 31:   #if !defined(PETSC_USE_COMPLEX)
 32:   mat = mxCreateDoubleMatrix(m, n, mxREAL);
 33:   #else
 34:   mat = mxCreateDoubleMatrix(m, n, mxCOMPLEX);
 35:   #endif
 36:   PetscCall(PetscArraycpy(mxGetPr(mat), array, n * m));
 37:   PetscCall(PetscObjectName(obj));
 38:   engPutVariable((Engine *)mengine, obj->name, mat);

 40:   PetscCall(VecRestoreArray(vec, &array));
 41:   PetscFunctionReturn(PETSC_SUCCESS);
 42: }
 43: #endif

 45: PetscErrorCode DMCreateLocalVector_DA(DM da, Vec *g)
 46: {
 47:   DM_DA *dd = (DM_DA *)da->data;

 49:   PetscFunctionBegin;
 51:   PetscAssertPointer(g, 2);
 52:   PetscCall(VecCreate(PETSC_COMM_SELF, g));
 53:   PetscCall(VecSetSizes(*g, dd->nlocal, PETSC_DETERMINE));
 54:   PetscCall(VecSetBlockSize(*g, dd->w));
 55:   PetscCall(VecSetType(*g, da->vectype));
 56:   if (dd->nlocal < da->bind_below) {
 57:     PetscCall(VecSetBindingPropagates(*g, PETSC_TRUE));
 58:     PetscCall(VecBindToCPU(*g, PETSC_TRUE));
 59:   }
 60:   PetscCall(VecSetDM(*g, da));
 61: #if defined(PETSC_HAVE_MATLAB)
 62:   if (dd->w == 1 && da->dim == 2) PetscCall(PetscObjectComposeFunction((PetscObject)*g, "PetscMatlabEnginePut_C", VecMatlabEnginePut_DA2d));
 63: #endif
 64:   PetscFunctionReturn(PETSC_SUCCESS);
 65: }

 67: /*@
 68:   DMDAGetNumCells - Get the number of cells (or vertices) in the local piece of the `DMDA`. This includes ghost cells.

 70:   Input Parameter:
 71: . dm - The `DMDA` object

 73:   Output Parameters:
 74: + numCellsX - The number of local cells in the x-direction
 75: . numCellsY - The number of local cells in the y-direction
 76: . numCellsZ - The number of local cells in the z-direction
 77: - numCells  - The number of local cells

 79:   Level: developer

 81: .seealso: [](sec_struct), `DM`, `DMDA`, `DMDAGetCellPoint()`
 82: @*/
 83: PetscErrorCode DMDAGetNumCells(DM dm, PetscInt *numCellsX, PetscInt *numCellsY, PetscInt *numCellsZ, PetscInt *numCells)
 84: {
 85:   DM_DA         *da  = (DM_DA *)dm->data;
 86:   const PetscInt dim = dm->dim;
 87:   const PetscInt mx = (da->Xe - da->Xs) / da->w, my = da->Ye - da->Ys, mz = da->Ze - da->Zs;
 88:   const PetscInt nC = (mx) * (dim > 1 ? (my) * (dim > 2 ? (mz) : 1) : 1);

 90:   PetscFunctionBegin;
 92:   if (numCellsX) {
 93:     PetscAssertPointer(numCellsX, 2);
 94:     *numCellsX = mx;
 95:   }
 96:   if (numCellsY) {
 97:     PetscAssertPointer(numCellsY, 3);
 98:     *numCellsY = my;
 99:   }
100:   if (numCellsZ) {
101:     PetscAssertPointer(numCellsZ, 4);
102:     *numCellsZ = mz;
103:   }
104:   if (numCells) {
105:     PetscAssertPointer(numCells, 5);
106:     *numCells = nC;
107:   }
108:   PetscFunctionReturn(PETSC_SUCCESS);
109: }

111: /*@
112:   DMDAGetCellPoint - Get the `DM` point corresponding to the tuple (i, j, k) in the `DMDA`

114:   Input Parameters:
115: + dm - The `DMDA` object
116: . i  - The global x index for the cell
117: . j  - The global y index for the cell
118: - k  - The global z index for the cell

120:   Output Parameter:
121: . point - The local `DM` point

123:   Level: developer

125: .seealso: [](sec_struct), `DM`, `DMDA`, `DMDAGetNumCells()`
126: @*/
127: PetscErrorCode DMDAGetCellPoint(DM dm, PetscInt i, PetscInt j, PetscInt k, PetscInt *point)
128: {
129:   const PetscInt dim = dm->dim;
130:   DMDALocalInfo  info;

132:   PetscFunctionBegin;
134:   PetscAssertPointer(point, 5);
135:   PetscCall(DMDAGetLocalInfo(dm, &info));
136:   if (dim > 0) PetscCheck(!(i < info.gxs) && !(i >= info.gxs + info.gxm), PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "X index %" PetscInt_FMT " not in [%" PetscInt_FMT ", %" PetscInt_FMT ")", i, info.gxs, info.gxs + info.gxm);
137:   if (dim > 1) PetscCheck(!(j < info.gys) && !(j >= info.gys + info.gym), PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Y index %" PetscInt_FMT " not in [%" PetscInt_FMT ", %" PetscInt_FMT ")", j, info.gys, info.gys + info.gym);
138:   if (dim > 2) PetscCheck(!(k < info.gzs) && !(k >= info.gzs + info.gzm), PETSC_COMM_SELF, PETSC_ERR_ARG_OUTOFRANGE, "Z index %" PetscInt_FMT " not in [%" PetscInt_FMT ", %" PetscInt_FMT ")", k, info.gzs, info.gzs + info.gzm);
139:   *point = i + (dim > 1 ? (j + (dim > 2 ? k * info.gym : 0)) * info.gxm : 0);
140:   PetscFunctionReturn(PETSC_SUCCESS);
141: }

143: PetscErrorCode DMDAGetNumVertices(DM dm, PetscInt *numVerticesX, PetscInt *numVerticesY, PetscInt *numVerticesZ, PetscInt *numVertices)
144: {
145:   DM_DA         *da  = (DM_DA *)dm->data;
146:   const PetscInt dim = dm->dim;
147:   const PetscInt mx = (da->Xe - da->Xs) / da->w, my = da->Ye - da->Ys, mz = da->Ze - da->Zs;
148:   const PetscInt nVx = mx + 1;
149:   const PetscInt nVy = dim > 1 ? (my + 1) : 1;
150:   const PetscInt nVz = dim > 2 ? (mz + 1) : 1;
151:   const PetscInt nV  = nVx * nVy * nVz;

153:   PetscFunctionBegin;
154:   if (numVerticesX) {
155:     PetscAssertPointer(numVerticesX, 2);
156:     *numVerticesX = nVx;
157:   }
158:   if (numVerticesY) {
159:     PetscAssertPointer(numVerticesY, 3);
160:     *numVerticesY = nVy;
161:   }
162:   if (numVerticesZ) {
163:     PetscAssertPointer(numVerticesZ, 4);
164:     *numVerticesZ = nVz;
165:   }
166:   if (numVertices) {
167:     PetscAssertPointer(numVertices, 5);
168:     *numVertices = nV;
169:   }
170:   PetscFunctionReturn(PETSC_SUCCESS);
171: }

173: PetscErrorCode DMDAGetNumFaces(DM dm, PetscInt *numXFacesX, PetscInt *numXFaces, PetscInt *numYFacesY, PetscInt *numYFaces, PetscInt *numZFacesZ, PetscInt *numZFaces)
174: {
175:   DM_DA         *da  = (DM_DA *)dm->data;
176:   const PetscInt dim = dm->dim;
177:   const PetscInt mx = (da->Xe - da->Xs) / da->w, my = da->Ye - da->Ys, mz = da->Ze - da->Zs;
178:   const PetscInt nxF = (dim > 1 ? (my) * (dim > 2 ? (mz) : 1) : 1);
179:   const PetscInt nXF = (mx + 1) * nxF;
180:   const PetscInt nyF = mx * (dim > 2 ? mz : 1);
181:   const PetscInt nYF = dim > 1 ? (my + 1) * nyF : 0;
182:   const PetscInt nzF = mx * (dim > 1 ? my : 0);
183:   const PetscInt nZF = dim > 2 ? (mz + 1) * nzF : 0;

185:   PetscFunctionBegin;
186:   if (numXFacesX) {
187:     PetscAssertPointer(numXFacesX, 2);
188:     *numXFacesX = nxF;
189:   }
190:   if (numXFaces) {
191:     PetscAssertPointer(numXFaces, 3);
192:     *numXFaces = nXF;
193:   }
194:   if (numYFacesY) {
195:     PetscAssertPointer(numYFacesY, 4);
196:     *numYFacesY = nyF;
197:   }
198:   if (numYFaces) {
199:     PetscAssertPointer(numYFaces, 5);
200:     *numYFaces = nYF;
201:   }
202:   if (numZFacesZ) {
203:     PetscAssertPointer(numZFacesZ, 6);
204:     *numZFacesZ = nzF;
205:   }
206:   if (numZFaces) {
207:     PetscAssertPointer(numZFaces, 7);
208:     *numZFaces = nZF;
209:   }
210:   PetscFunctionReturn(PETSC_SUCCESS);
211: }

213: PetscErrorCode DMDAGetHeightStratum(DM dm, PetscInt height, PetscInt *pStart, PetscInt *pEnd)
214: {
215:   const PetscInt dim = dm->dim;
216:   PetscInt       nC, nV, nXF, nYF, nZF;

218:   PetscFunctionBegin;
219:   if (pStart) PetscAssertPointer(pStart, 3);
220:   if (pEnd) PetscAssertPointer(pEnd, 4);
221:   PetscCall(DMDAGetNumCells(dm, NULL, NULL, NULL, &nC));
222:   PetscCall(DMDAGetNumVertices(dm, NULL, NULL, NULL, &nV));
223:   PetscCall(DMDAGetNumFaces(dm, NULL, &nXF, NULL, &nYF, NULL, &nZF));
224:   if (height == 0) {
225:     /* Cells */
226:     if (pStart) *pStart = 0;
227:     if (pEnd) *pEnd = nC;
228:   } else if (height == 1) {
229:     /* Faces */
230:     if (pStart) *pStart = nC + nV;
231:     if (pEnd) *pEnd = nC + nV + nXF + nYF + nZF;
232:   } else if (height == dim) {
233:     /* Vertices */
234:     if (pStart) *pStart = nC;
235:     if (pEnd) *pEnd = nC + nV;
236:   } else if (height < 0) {
237:     /* All points */
238:     if (pStart) *pStart = 0;
239:     if (pEnd) *pEnd = nC + nV + nXF + nYF + nZF;
240:   } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "No points of height %" PetscInt_FMT " in the DA", height);
241:   PetscFunctionReturn(PETSC_SUCCESS);
242: }

244: PetscErrorCode DMDAGetDepthStratum(DM dm, PetscInt depth, PetscInt *pStart, PetscInt *pEnd)
245: {
246:   const PetscInt dim = dm->dim;
247:   PetscInt       nC, nV, nXF, nYF, nZF;

249:   PetscFunctionBegin;
250:   if (pStart) PetscAssertPointer(pStart, 3);
251:   if (pEnd) PetscAssertPointer(pEnd, 4);
252:   PetscCall(DMDAGetNumCells(dm, NULL, NULL, NULL, &nC));
253:   PetscCall(DMDAGetNumVertices(dm, NULL, NULL, NULL, &nV));
254:   PetscCall(DMDAGetNumFaces(dm, NULL, &nXF, NULL, &nYF, NULL, &nZF));
255:   if (depth == dim) {
256:     /* Cells */
257:     if (pStart) *pStart = 0;
258:     if (pEnd) *pEnd = nC;
259:   } else if (depth == dim - 1) {
260:     /* Faces */
261:     if (pStart) *pStart = nC + nV;
262:     if (pEnd) *pEnd = nC + nV + nXF + nYF + nZF;
263:   } else if (depth == 0) {
264:     /* Vertices */
265:     if (pStart) *pStart = nC;
266:     if (pEnd) *pEnd = nC + nV;
267:   } else if (depth < 0) {
268:     /* All points */
269:     if (pStart) *pStart = 0;
270:     if (pEnd) *pEnd = nC + nV + nXF + nYF + nZF;
271:   } else SETERRQ(PetscObjectComm((PetscObject)dm), PETSC_ERR_ARG_OUTOFRANGE, "No points of depth %" PetscInt_FMT " in the DA", depth);
272:   PetscFunctionReturn(PETSC_SUCCESS);
273: }

275: PetscErrorCode DMDASetVertexCoordinates(DM dm, PetscReal xl, PetscReal xu, PetscReal yl, PetscReal yu, PetscReal zl, PetscReal zu)
276: {
277:   DM_DA       *da = (DM_DA *)dm->data;
278:   Vec          coordinates;
279:   PetscSection section;
280:   PetscScalar *coords;
281:   PetscReal    h[3];
282:   PetscInt     dim, size, M, N, P, nVx, nVy, nVz, nV, vStart, vEnd, v, i, j, k;

284:   PetscFunctionBegin;
286:   PetscCall(DMDAGetInfo(dm, &dim, &M, &N, &P, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL, NULL));
287:   PetscCheck(dim <= 3, PetscObjectComm((PetscObject)dm), PETSC_ERR_PLIB, "The following code only works for dim <= 3");
288:   h[0] = (xu - xl) / M;
289:   h[1] = (yu - yl) / N;
290:   h[2] = (zu - zl) / P;
291:   PetscCall(DMDAGetDepthStratum(dm, 0, &vStart, &vEnd));
292:   PetscCall(DMDAGetNumVertices(dm, &nVx, &nVy, &nVz, &nV));
293:   PetscCall(PetscSectionCreate(PetscObjectComm((PetscObject)dm), &section));
294:   PetscCall(PetscSectionSetNumFields(section, 1));
295:   PetscCall(PetscSectionSetFieldComponents(section, 0, dim));
296:   PetscCall(PetscSectionSetChart(section, vStart, vEnd));
297:   for (v = vStart; v < vEnd; ++v) PetscCall(PetscSectionSetDof(section, v, dim));
298:   PetscCall(PetscSectionSetUp(section));
299:   PetscCall(PetscSectionGetStorageSize(section, &size));
300:   PetscCall(VecCreateSeq(PETSC_COMM_SELF, size, &coordinates));
301:   PetscCall(PetscObjectSetName((PetscObject)coordinates, "coordinates"));
302:   PetscCall(VecGetArray(coordinates, &coords));
303:   for (k = 0; k < nVz; ++k) {
304:     PetscInt ind[3], d, off;

306:     ind[0] = 0;
307:     ind[1] = 0;
308:     ind[2] = k + da->zs;
309:     for (j = 0; j < nVy; ++j) {
310:       ind[1] = j + da->ys;
311:       for (i = 0; i < nVx; ++i) {
312:         const PetscInt vertex = (k * nVy + j) * nVx + i + vStart;

314:         PetscCall(PetscSectionGetOffset(section, vertex, &off));
315:         ind[0] = i + da->xs;
316:         for (d = 0; d < dim; ++d) coords[off + d] = h[d] * ind[d];
317:       }
318:     }
319:   }
320:   PetscCall(VecRestoreArray(coordinates, &coords));
321:   PetscCall(DMSetCoordinateSection(dm, PETSC_DETERMINE, section));
322:   PetscCall(DMSetCoordinatesLocal(dm, coordinates));
323:   PetscCall(PetscSectionDestroy(&section));
324:   PetscCall(VecDestroy(&coordinates));
325:   PetscFunctionReturn(PETSC_SUCCESS);
326: }

328: /* ------------------------------------------------------------------- */

330: /*@C
331:   DMDAGetArray - Gets a work array for a `DMDA`

333:   Input Parameters:
334: + da      - a `DMDA`
335: - ghosted - do you want arrays for the ghosted or nonghosted patch

337:   Output Parameter:
338: . vptr - array data structured

340:   Level: advanced

342:   Notes:
343:   The vector values are NOT initialized and may have garbage in them, so you may need
344:   to zero them.

346:   Use `DMDARestoreArray()` to return the array

348: .seealso: [](sec_struct), `DM`, `DMDA`, `DMDARestoreArray()`
349: @*/
350: PetscErrorCode DMDAGetArray(DM da, PetscBool ghosted, void *vptr)
351: {
352:   PetscInt j, i, xs, ys, xm, ym, zs, zm;
353:   char    *iarray_start;
354:   void   **iptr = (void **)vptr;
355:   DM_DA   *dd   = (DM_DA *)da->data;

357:   PetscFunctionBegin;
359:   if (ghosted) {
360:     for (i = 0; i < DMDA_MAX_WORK_ARRAYS; i++) {
361:       if (dd->arrayghostedin[i]) {
362:         *iptr                 = dd->arrayghostedin[i];
363:         iarray_start          = (char *)dd->startghostedin[i];
364:         dd->arrayghostedin[i] = NULL;
365:         dd->startghostedin[i] = NULL;

367:         goto done;
368:       }
369:     }
370:     xs = dd->Xs;
371:     ys = dd->Ys;
372:     zs = dd->Zs;
373:     xm = dd->Xe - dd->Xs;
374:     ym = dd->Ye - dd->Ys;
375:     zm = dd->Ze - dd->Zs;
376:   } else {
377:     for (i = 0; i < DMDA_MAX_WORK_ARRAYS; i++) {
378:       if (dd->arrayin[i]) {
379:         *iptr          = dd->arrayin[i];
380:         iarray_start   = (char *)dd->startin[i];
381:         dd->arrayin[i] = NULL;
382:         dd->startin[i] = NULL;

384:         goto done;
385:       }
386:     }
387:     xs = dd->xs;
388:     ys = dd->ys;
389:     zs = dd->zs;
390:     xm = dd->xe - dd->xs;
391:     ym = dd->ye - dd->ys;
392:     zm = dd->ze - dd->zs;
393:   }

395:   switch (da->dim) {
396:   case 1: {
397:     void *ptr;

399:     PetscCall(PetscMalloc(xm * sizeof(PetscScalar), &iarray_start));

401:     ptr   = (void *)((PetscScalar *)iarray_start - xs);
402:     *iptr = (void *)ptr;
403:     break;
404:   }
405:   case 2: {
406:     void **ptr;

408:     PetscCall(PetscMalloc((ym + 1) * sizeof(void *) + xm * ym * sizeof(PetscScalar), &iarray_start));

410:     ptr = (void **)(iarray_start + xm * ym * sizeof(PetscScalar) - ys * sizeof(void *));
411:     for (j = ys; j < ys + ym; j++) ptr[j] = iarray_start + sizeof(PetscScalar) * (xm * (j - ys) - xs);
412:     *iptr = (void *)ptr;
413:     break;
414:   }
415:   case 3: {
416:     void ***ptr, **bptr;

418:     PetscCall(PetscMalloc((zm + 1) * sizeof(void **) + (ym * zm + 1) * sizeof(void *) + xm * ym * zm * sizeof(PetscScalar), &iarray_start));

420:     ptr  = (void ***)(iarray_start + xm * ym * zm * sizeof(PetscScalar) - zs * sizeof(void *));
421:     bptr = (void **)(iarray_start + xm * ym * zm * sizeof(PetscScalar) + zm * sizeof(void **));
422:     for (i = zs; i < zs + zm; i++) ptr[i] = bptr + ((i - zs) * ym - ys);
423:     for (i = zs; i < zs + zm; i++) {
424:       for (j = ys; j < ys + ym; j++) ptr[i][j] = iarray_start + sizeof(PetscScalar) * (xm * ym * (i - zs) + xm * (j - ys) - xs);
425:     }
426:     *iptr = (void *)ptr;
427:     break;
428:   }
429:   default:
430:     SETERRQ(PetscObjectComm((PetscObject)da), PETSC_ERR_SUP, "Dimension %" PetscInt_FMT " not supported", da->dim);
431:   }

433: done:
434:   /* add arrays to the checked out list */
435:   if (ghosted) {
436:     for (i = 0; i < DMDA_MAX_WORK_ARRAYS; i++) {
437:       if (!dd->arrayghostedout[i]) {
438:         dd->arrayghostedout[i] = *iptr;
439:         dd->startghostedout[i] = iarray_start;
440:         break;
441:       }
442:     }
443:   } else {
444:     for (i = 0; i < DMDA_MAX_WORK_ARRAYS; i++) {
445:       if (!dd->arrayout[i]) {
446:         dd->arrayout[i] = *iptr;
447:         dd->startout[i] = iarray_start;
448:         break;
449:       }
450:     }
451:   }
452:   PetscFunctionReturn(PETSC_SUCCESS);
453: }

455: /*@C
456:   DMDARestoreArray - Restores an array for a `DMDA` obtained with  `DMDAGetArray()`

458:   Input Parameters:
459: + da      - information about my local patch
460: . ghosted - do you want arrays for the ghosted or nonghosted patch
461: - vptr    - array data structured

463:   Level: advanced

465: .seealso: [](sec_struct), `DM`, `DMDA`, `DMDAGetArray()`
466: @*/
467: PetscErrorCode DMDARestoreArray(DM da, PetscBool ghosted, void *vptr)
468: {
469:   PetscInt i;
470:   void   **iptr = (void **)vptr, *iarray_start = NULL;
471:   DM_DA   *dd = (DM_DA *)da->data;

473:   PetscFunctionBegin;
475:   if (ghosted) {
476:     for (i = 0; i < DMDA_MAX_WORK_ARRAYS; i++) {
477:       if (dd->arrayghostedout[i] == *iptr) {
478:         iarray_start           = dd->startghostedout[i];
479:         dd->arrayghostedout[i] = NULL;
480:         dd->startghostedout[i] = NULL;
481:         break;
482:       }
483:     }
484:     for (i = 0; i < DMDA_MAX_WORK_ARRAYS; i++) {
485:       if (!dd->arrayghostedin[i]) {
486:         dd->arrayghostedin[i] = *iptr;
487:         dd->startghostedin[i] = iarray_start;
488:         break;
489:       }
490:     }
491:   } else {
492:     for (i = 0; i < DMDA_MAX_WORK_ARRAYS; i++) {
493:       if (dd->arrayout[i] == *iptr) {
494:         iarray_start    = dd->startout[i];
495:         dd->arrayout[i] = NULL;
496:         dd->startout[i] = NULL;
497:         break;
498:       }
499:     }
500:     for (i = 0; i < DMDA_MAX_WORK_ARRAYS; i++) {
501:       if (!dd->arrayin[i]) {
502:         dd->arrayin[i] = *iptr;
503:         dd->startin[i] = iarray_start;
504:         break;
505:       }
506:     }
507:   }
508:   PetscFunctionReturn(PETSC_SUCCESS);
509: }