Actual source code: bddcprivate.c
1: #include <../src/mat/impls/aij/seq/aij.h>
2: #include <petsc/private/pcbddcimpl.h>
3: #include <petsc/private/pcbddcprivateimpl.h>
4: #include <petsc/private/kernels/blockinvert.h>
5: #include <../src/mat/impls/dense/seq/dense.h>
6: #include <petscdmplex.h>
7: #include <petscblaslapack.h>
8: #include <petsc/private/sfimpl.h>
9: #include <petsc/private/dmpleximpl.h>
10: #include <petscdmda.h>
12: static PetscErrorCode MatMPIAIJRestrict(Mat, MPI_Comm, Mat *);
14: /* if range is true, it returns B s.t. span{B} = range(A)
15: if range is false, it returns B s.t. range(B) _|_ range(A) */
16: static PetscErrorCode MatDenseOrthogonalRangeOrComplement(Mat A, PetscBool range, PetscInt lw, PetscScalar *work, PetscReal *rwork, Mat *B)
17: {
18: PetscScalar *uwork, *data, *U, ds = 0.;
19: PetscReal *sing;
20: PetscBLASInt bM, bN, lwork, lierr, di = 1;
21: PetscInt ulw, i, nr, nc, n;
22: #if defined(PETSC_USE_COMPLEX)
23: PetscReal *rwork2;
24: #endif
26: PetscFunctionBegin;
27: PetscCall(MatGetSize(A, &nr, &nc));
28: if (!nr || !nc) PetscFunctionReturn(PETSC_SUCCESS);
30: /* workspace */
31: if (!work) {
32: ulw = PetscMax(PetscMax(1, 5 * PetscMin(nr, nc)), 3 * PetscMin(nr, nc) + PetscMax(nr, nc));
33: PetscCall(PetscMalloc1(ulw, &uwork));
34: } else {
35: ulw = lw;
36: uwork = work;
37: }
38: n = PetscMin(nr, nc);
39: if (!rwork) {
40: PetscCall(PetscMalloc1(n, &sing));
41: } else {
42: sing = rwork;
43: }
45: /* SVD */
46: PetscCall(PetscMalloc1(nr * nr, &U));
47: PetscCall(PetscBLASIntCast(nr, &bM));
48: PetscCall(PetscBLASIntCast(nc, &bN));
49: PetscCall(PetscBLASIntCast(ulw, &lwork));
50: PetscCall(MatDenseGetArray(A, &data));
51: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
52: #if !defined(PETSC_USE_COMPLEX)
53: PetscCallBLAS("LAPACKgesvd", LAPACKgesvd_("A", "N", &bM, &bN, data, &bM, sing, U, &bM, &ds, &di, uwork, &lwork, &lierr));
54: #else
55: PetscCall(PetscMalloc1(5 * n, &rwork2));
56: PetscCallBLAS("LAPACKgesvd", LAPACKgesvd_("A", "N", &bM, &bN, data, &bM, sing, U, &bM, &ds, &di, uwork, &lwork, rwork2, &lierr));
57: PetscCall(PetscFree(rwork2));
58: #endif
59: PetscCall(PetscFPTrapPop());
60: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in GESVD Lapack routine %" PetscBLASInt_FMT, lierr);
61: PetscCall(MatDenseRestoreArray(A, &data));
62: for (i = 0; i < n; i++)
63: if (sing[i] < PETSC_SMALL) break;
64: if (!rwork) PetscCall(PetscFree(sing));
65: if (!work) PetscCall(PetscFree(uwork));
66: /* create B */
67: if (!range) {
68: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, nr, nr - i, NULL, B));
69: PetscCall(MatDenseGetArray(*B, &data));
70: PetscCall(PetscArraycpy(data, U + nr * i, (nr - i) * nr));
71: } else {
72: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, nr, i, NULL, B));
73: PetscCall(MatDenseGetArray(*B, &data));
74: PetscCall(PetscArraycpy(data, U, i * nr));
75: }
76: PetscCall(MatDenseRestoreArray(*B, &data));
77: PetscCall(PetscFree(U));
78: PetscFunctionReturn(PETSC_SUCCESS);
79: }
81: /* TODO REMOVE */
82: #if defined(PRINT_GDET)
83: static int inc = 0;
84: static int lev = 0;
85: #endif
87: static PetscErrorCode PCBDDCComputeNedelecChangeEdge(Mat lG, IS edge, IS extrow, IS extcol, IS corners, Mat *Gins, Mat *GKins, PetscScalar cvals[2], PetscScalar *work, PetscReal *rwork)
88: {
89: Mat GE, GEd;
90: PetscInt rsize, csize, esize;
91: PetscScalar *ptr;
93: PetscFunctionBegin;
94: PetscCall(ISGetSize(edge, &esize));
95: if (!esize) PetscFunctionReturn(PETSC_SUCCESS);
96: PetscCall(ISGetSize(extrow, &rsize));
97: PetscCall(ISGetSize(extcol, &csize));
99: /* gradients */
100: ptr = work + 5 * esize;
101: PetscCall(MatCreateSubMatrix(lG, extrow, extcol, MAT_INITIAL_MATRIX, &GE));
102: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, rsize, csize, ptr, Gins));
103: PetscCall(MatConvert(GE, MATSEQDENSE, MAT_REUSE_MATRIX, Gins));
104: PetscCall(MatDestroy(&GE));
106: /* constants */
107: ptr += rsize * csize;
108: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, esize, csize, ptr, &GEd));
109: PetscCall(MatCreateSubMatrix(lG, edge, extcol, MAT_INITIAL_MATRIX, &GE));
110: PetscCall(MatConvert(GE, MATSEQDENSE, MAT_REUSE_MATRIX, &GEd));
111: PetscCall(MatDestroy(&GE));
112: PetscCall(MatDenseOrthogonalRangeOrComplement(GEd, PETSC_FALSE, 5 * esize, work, rwork, GKins));
113: PetscCall(MatDestroy(&GEd));
115: if (corners) {
116: Mat GEc;
117: const PetscScalar *vals;
118: PetscScalar v;
120: PetscCall(MatCreateSubMatrix(lG, edge, corners, MAT_INITIAL_MATRIX, &GEc));
121: PetscCall(MatTransposeMatMult(GEc, *GKins, MAT_INITIAL_MATRIX, 1.0, &GEd));
122: PetscCall(MatDenseGetArrayRead(GEd, &vals));
123: /* v = PetscAbsScalar(vals[0]); */
124: v = 1.;
125: cvals[0] = vals[0] / v;
126: cvals[1] = vals[1] / v;
127: PetscCall(MatDenseRestoreArrayRead(GEd, &vals));
128: PetscCall(MatScale(*GKins, 1. / v));
129: #if defined(PRINT_GDET)
130: {
131: PetscViewer viewer;
132: char filename[256];
133: PetscCall(PetscSNPrintf(filename, PETSC_STATIC_ARRAY_LENGTH(filename), "Gdet_l%d_r%d_cc%d.m", lev, PetscGlobalRank, inc++));
134: PetscCall(PetscViewerASCIIOpen(PETSC_COMM_SELF, filename, &viewer));
135: PetscCall(PetscViewerPushFormat(viewer, PETSC_VIEWER_ASCII_MATLAB));
136: PetscCall(PetscObjectSetName((PetscObject)GEc, "GEc"));
137: PetscCall(MatView(GEc, viewer));
138: PetscCall(PetscObjectSetName((PetscObject)*GKins, "GK"));
139: PetscCall(MatView(*GKins, viewer));
140: PetscCall(PetscObjectSetName((PetscObject)GEd, "Gproj"));
141: PetscCall(MatView(GEd, viewer));
142: PetscCall(PetscViewerDestroy(&viewer));
143: }
144: #endif
145: PetscCall(MatDestroy(&GEd));
146: PetscCall(MatDestroy(&GEc));
147: }
148: PetscFunctionReturn(PETSC_SUCCESS);
149: }
151: static PetscErrorCode MatAIJExtractRows(Mat, IS, Mat *);
153: PetscErrorCode PCBDDCNedelecSupport(PC pc)
154: {
155: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
156: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
157: Mat G, T, conn, lG, lGt, lGis, lGall, lGe, lGinit;
158: PetscSF sfv;
159: ISLocalToGlobalMapping el2g, vl2g, fl2g, al2g;
160: MPI_Comm comm;
161: IS lned, primals, allprimals, nedfieldlocal, elements_corners = NULL;
162: IS *eedges, *extrows, *extcols, *alleedges;
163: PetscBT btv, bte, btvc, btb, btbd, btvcand, btvi, btee, bter;
164: PetscScalar *vals, *work;
165: PetscReal *rwork;
166: const PetscInt *idxs, *ii, *jj, *iit, *jjt;
167: PetscInt ne, nv, Lv, order, n, field;
168: PetscInt i, j, extmem, cum, maxsize, nee;
169: PetscInt *extrow, *extrowcum, *marks, *vmarks, *gidxs;
170: PetscInt *sfvleaves, *sfvroots;
171: PetscInt *corners, *cedges;
172: PetscInt *ecount, **eneighs, *vcount, **vneighs;
173: PetscInt *emarks;
174: PetscBool print, eerr, done, lrc[2], conforming, global, setprimal;
176: PetscFunctionBegin;
177: /* If the discrete gradient is defined for a subset of dofs and global is true,
178: it assumes G is given in global ordering for all the dofs.
179: Otherwise, the ordering is global for the Nedelec field */
180: order = pcbddc->nedorder;
181: conforming = pcbddc->conforming;
182: field = pcbddc->nedfield;
183: global = pcbddc->nedglobal;
184: setprimal = PETSC_FALSE;
185: print = PETSC_FALSE;
187: /* Command line customization */
188: PetscOptionsBegin(PetscObjectComm((PetscObject)pc), ((PetscObject)pc)->prefix, "BDDC Nedelec options", "PC");
189: PetscCall(PetscOptionsBool("-pc_bddc_nedelec_field_primal", "All edge dofs set as primals: Toselli's algorithm C", NULL, setprimal, &setprimal, NULL));
190: /* print debug info and adaptive order TODO: to be removed */
191: PetscCall(PetscOptionsInt("-pc_bddc_nedelec_order", "Test variable order code (to be removed)", NULL, order, &order, NULL));
192: PetscCall(PetscOptionsBool("-pc_bddc_nedelec_print", "Print debug info", NULL, print, &print, NULL));
193: PetscOptionsEnd();
195: /* Return if there are no edges in the decomposition */
196: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &al2g, NULL));
197: PetscCall(ISLocalToGlobalMappingGetSize(al2g, &n));
198: PetscCall(PetscObjectGetComm((PetscObject)pc, &comm));
199: PetscCall(VecGetArrayRead(matis->counter, (const PetscScalar **)&vals));
200: lrc[0] = PETSC_FALSE;
201: for (i = 0; i < n; i++) {
202: if (PetscRealPart(vals[i]) > 2.) {
203: lrc[0] = PETSC_TRUE;
204: break;
205: }
206: }
207: PetscCall(VecRestoreArrayRead(matis->counter, (const PetscScalar **)&vals));
208: PetscCallMPI(MPIU_Allreduce(&lrc[0], &lrc[1], 1, MPIU_BOOL, MPI_LOR, comm));
209: if (!lrc[1]) PetscFunctionReturn(PETSC_SUCCESS);
211: /* Get Nedelec field */
212: PetscCheck(!pcbddc->n_ISForDofsLocal || field < pcbddc->n_ISForDofsLocal, comm, PETSC_ERR_USER, "Invalid field for Nedelec %" PetscInt_FMT ": number of fields is %" PetscInt_FMT, field, pcbddc->n_ISForDofsLocal);
213: if (pcbddc->n_ISForDofsLocal && field >= 0) {
214: PetscCall(PetscObjectReference((PetscObject)pcbddc->ISForDofsLocal[field]));
215: nedfieldlocal = pcbddc->ISForDofsLocal[field];
216: PetscCall(ISGetLocalSize(nedfieldlocal, &ne));
217: } else if (!pcbddc->n_ISForDofsLocal && field != PETSC_DECIDE) {
218: ne = n;
219: nedfieldlocal = NULL;
220: global = PETSC_TRUE;
221: } else if (field == PETSC_DECIDE) {
222: PetscInt rst, ren, *idx;
224: PetscCall(PetscArrayzero(matis->sf_leafdata, n));
225: PetscCall(PetscArrayzero(matis->sf_rootdata, pc->pmat->rmap->n));
226: PetscCall(MatGetOwnershipRange(pcbddc->discretegradient, &rst, &ren));
227: for (i = rst; i < ren; i++) {
228: PetscInt nc;
230: PetscCall(MatGetRow(pcbddc->discretegradient, i, &nc, NULL, NULL));
231: if (nc > 1) matis->sf_rootdata[i - rst] = 1;
232: PetscCall(MatRestoreRow(pcbddc->discretegradient, i, &nc, NULL, NULL));
233: }
234: PetscCall(PetscSFBcastBegin(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
235: PetscCall(PetscSFBcastEnd(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
236: PetscCall(PetscMalloc1(n, &idx));
237: for (i = 0, ne = 0; i < n; i++)
238: if (matis->sf_leafdata[i]) idx[ne++] = i;
239: PetscCall(ISCreateGeneral(comm, ne, idx, PETSC_OWN_POINTER, &nedfieldlocal));
240: } else {
241: SETERRQ(comm, PETSC_ERR_USER, "When multiple fields are present, the Nedelec field has to be specified");
242: }
244: /* Sanity checks */
245: PetscCheck(order || conforming, comm, PETSC_ERR_SUP, "Variable order and non-conforming spaces are not supported at the same time");
246: PetscCheck(!pcbddc->user_ChangeOfBasisMatrix, comm, PETSC_ERR_SUP, "Cannot generate Nedelec support with user defined change of basis");
247: PetscCheck(!order || (ne % order == 0), PETSC_COMM_SELF, PETSC_ERR_USER, "The number of local edge dofs %" PetscInt_FMT " is not a multiple of the order %" PetscInt_FMT, ne, order);
249: /* Just set primal dofs and return */
250: if (setprimal) {
251: IS enedfieldlocal;
252: PetscInt *eidxs;
254: PetscCall(PetscMalloc1(ne, &eidxs));
255: PetscCall(VecGetArrayRead(matis->counter, (const PetscScalar **)&vals));
256: if (nedfieldlocal) {
257: PetscCall(ISGetIndices(nedfieldlocal, &idxs));
258: for (i = 0, cum = 0; i < ne; i++) {
259: if (PetscRealPart(vals[idxs[i]]) > 2.) eidxs[cum++] = idxs[i];
260: }
261: PetscCall(ISRestoreIndices(nedfieldlocal, &idxs));
262: } else {
263: for (i = 0, cum = 0; i < ne; i++) {
264: if (PetscRealPart(vals[i]) > 2.) eidxs[cum++] = i;
265: }
266: }
267: PetscCall(VecRestoreArrayRead(matis->counter, (const PetscScalar **)&vals));
268: PetscCall(ISCreateGeneral(comm, cum, eidxs, PETSC_COPY_VALUES, &enedfieldlocal));
269: PetscCall(PCBDDCSetPrimalVerticesLocalIS(pc, enedfieldlocal));
270: PetscCall(PetscFree(eidxs));
271: PetscCall(ISDestroy(&nedfieldlocal));
272: PetscCall(ISDestroy(&enedfieldlocal));
273: PetscFunctionReturn(PETSC_SUCCESS);
274: }
276: /* Compute some l2g maps */
277: if (nedfieldlocal) {
278: IS is;
280: /* need to map from the local Nedelec field to local numbering */
281: PetscCall(ISLocalToGlobalMappingCreateIS(nedfieldlocal, &fl2g));
282: /* need to map from the local Nedelec field to global numbering for the whole dofs*/
283: PetscCall(ISLocalToGlobalMappingApplyIS(al2g, nedfieldlocal, &is));
284: PetscCall(ISLocalToGlobalMappingCreateIS(is, &al2g));
285: /* need to map from the local Nedelec field to global numbering (for Nedelec only) */
286: if (global) {
287: PetscCall(PetscObjectReference((PetscObject)al2g));
288: el2g = al2g;
289: } else {
290: IS gis;
292: PetscCall(ISRenumber(is, NULL, NULL, &gis));
293: PetscCall(ISLocalToGlobalMappingCreateIS(gis, &el2g));
294: PetscCall(ISDestroy(&gis));
295: }
296: PetscCall(ISDestroy(&is));
297: } else {
298: /* one ref for the destruction of al2g, one for el2g */
299: PetscCall(PetscObjectReference((PetscObject)al2g));
300: PetscCall(PetscObjectReference((PetscObject)al2g));
301: el2g = al2g;
302: fl2g = NULL;
303: }
305: /* Start communication to drop connections for interior edges (for cc analysis only) */
306: PetscCall(PetscArrayzero(matis->sf_leafdata, n));
307: PetscCall(PetscArrayzero(matis->sf_rootdata, pc->pmat->rmap->n));
308: if (nedfieldlocal) {
309: PetscCall(ISGetIndices(nedfieldlocal, &idxs));
310: for (i = 0; i < ne; i++) matis->sf_leafdata[idxs[i]] = 1;
311: PetscCall(ISRestoreIndices(nedfieldlocal, &idxs));
312: } else {
313: for (i = 0; i < ne; i++) matis->sf_leafdata[i] = 1;
314: }
315: PetscCall(PetscSFReduceBegin(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, MPI_SUM));
316: PetscCall(PetscSFReduceEnd(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, MPI_SUM));
318: /* There's no way to detect all possible corner candidates in a element-by-element case in a pure algebraic setting
319: Firedrake attaches a index set to identify them upfront. If it is present, we assume we are in such a case */
320: if (matis->allow_repeated) PetscCall(PetscObjectQuery((PetscObject)pcbddc->discretegradient, "_elements_corners", (PetscObject *)&elements_corners));
322: /* drop connections with interior edges to avoid unneeded communications and memory movements */
323: PetscCall(MatViewFromOptions(pcbddc->discretegradient, (PetscObject)pc, "-pc_bddc_discrete_gradient_view"));
324: PetscCall(MatDuplicate(pcbddc->discretegradient, MAT_COPY_VALUES, &G));
325: PetscCall(MatSetOption(G, MAT_KEEP_NONZERO_PATTERN, PETSC_FALSE));
326: if (global) {
327: PetscInt rst;
329: PetscCall(MatGetOwnershipRange(G, &rst, NULL));
330: for (i = 0, cum = 0; i < pc->pmat->rmap->n; i++) {
331: if (matis->sf_rootdata[i] < 2) matis->sf_rootdata[cum++] = i + rst;
332: }
333: PetscCall(MatSetOption(G, MAT_NO_OFF_PROC_ZERO_ROWS, PETSC_TRUE));
334: PetscCall(MatZeroRows(G, cum, matis->sf_rootdata, 0., NULL, NULL));
335: } else {
336: PetscInt *tbz;
338: PetscCall(PetscMalloc1(ne, &tbz));
339: PetscCall(PetscSFBcastBegin(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
340: PetscCall(PetscSFBcastEnd(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
341: PetscCall(ISGetIndices(nedfieldlocal, &idxs));
342: for (i = 0, cum = 0; i < ne; i++)
343: if (matis->sf_leafdata[idxs[i]] == 1) tbz[cum++] = i;
344: PetscCall(ISRestoreIndices(nedfieldlocal, &idxs));
345: PetscCall(ISLocalToGlobalMappingApply(el2g, cum, tbz, tbz));
346: PetscCall(MatZeroRows(G, cum, tbz, 0., NULL, NULL));
347: PetscCall(PetscFree(tbz));
348: }
350: /* Extract subdomain relevant rows of G */
351: PetscCall(ISLocalToGlobalMappingGetIndices(el2g, &idxs));
352: PetscCall(ISCreateGeneral(comm, ne, idxs, PETSC_USE_POINTER, &lned));
353: PetscCall(MatAIJExtractRows(G, lned, &lGall));
354: /* PetscCall(MatCreateSubMatrix(G, lned, NULL, MAT_INITIAL_MATRIX, &lGall)); */
355: PetscCall(ISLocalToGlobalMappingRestoreIndices(el2g, &idxs));
356: PetscCall(ISDestroy(&lned));
357: PetscCall(MatConvert(lGall, MATIS, MAT_INITIAL_MATRIX, &lGis));
358: PetscCall(MatDestroy(&lGall));
359: PetscCall(MatISGetLocalMat(lGis, &lG));
360: if (matis->allow_repeated) { /* multi-element support */
361: Mat *lGn, B;
362: IS *is_rows, *tcols, tmap, nmap;
363: PetscInt subnv;
364: const PetscInt *subvidxs;
365: ISLocalToGlobalMapping mapn;
367: PetscCall(PetscCalloc1(pcbddc->n_local_subs * pcbddc->n_local_subs, &lGn));
368: PetscCall(PetscMalloc1(pcbddc->n_local_subs, &is_rows));
369: PetscCall(PetscMalloc1(pcbddc->n_local_subs, &tcols));
370: for (PetscInt i = 0; i < pcbddc->n_local_subs; i++) {
371: if (fl2g) {
372: PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_MASK, pcbddc->local_subs[i], &is_rows[i]));
373: } else {
374: PetscCall(PetscObjectReference((PetscObject)pcbddc->local_subs[i]));
375: is_rows[i] = pcbddc->local_subs[i];
376: }
377: PetscCall(MatCreateSubMatrix(lG, is_rows[i], NULL, MAT_INITIAL_MATRIX, &lGn[i * (1 + pcbddc->n_local_subs)]));
378: PetscCall(MatSeqAIJCompactOutExtraColumns_SeqAIJ(lGn[i * (1 + pcbddc->n_local_subs)], &mapn));
379: PetscCall(ISLocalToGlobalMappingGetSize(mapn, &subnv));
380: PetscCall(ISLocalToGlobalMappingGetIndices(mapn, &subvidxs));
381: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, subnv, subvidxs, PETSC_COPY_VALUES, &tcols[i]));
382: PetscCall(ISLocalToGlobalMappingRestoreIndices(mapn, &subvidxs));
383: PetscCall(ISLocalToGlobalMappingDestroy(&mapn));
384: }
386: /* Create new MATIS with repeated vertices */
387: PetscCall(MatCreate(comm, &B));
388: PetscCall(MatSetSizes(B, lGis->rmap->n, lGis->cmap->n, lGis->rmap->N, lGis->cmap->N));
389: PetscCall(MatSetType(B, MATIS));
390: PetscCall(MatISSetAllowRepeated(B, PETSC_TRUE));
391: PetscCall(ISConcatenate(PETSC_COMM_SELF, pcbddc->n_local_subs, tcols, &tmap));
392: PetscCall(ISLocalToGlobalMappingApplyIS(lGis->cmap->mapping, tmap, &nmap));
393: PetscCall(ISDestroy(&tmap));
394: PetscCall(ISGetLocalSize(nmap, &subnv));
395: PetscCall(ISGetIndices(nmap, &subvidxs));
396: PetscCall(ISCreateGeneral(comm, subnv, subvidxs, PETSC_USE_POINTER, &tmap));
397: PetscCall(ISRestoreIndices(nmap, &subvidxs));
398: PetscCall(ISLocalToGlobalMappingCreateIS(tmap, &mapn));
399: PetscCall(ISDestroy(&tmap));
400: PetscCall(ISDestroy(&nmap));
401: PetscCall(MatSetLocalToGlobalMapping(B, lGis->rmap->mapping, mapn));
402: PetscCall(ISLocalToGlobalMappingDestroy(&mapn));
403: PetscCall(MatCreateNest(PETSC_COMM_SELF, pcbddc->n_local_subs, is_rows, pcbddc->n_local_subs, NULL, lGn, &lG));
404: for (PetscInt i = 0; i < pcbddc->n_local_subs; i++) {
405: PetscCall(MatDestroy(&lGn[i * (1 + pcbddc->n_local_subs)]));
406: PetscCall(ISDestroy(&is_rows[i]));
407: PetscCall(ISDestroy(&tcols[i]));
408: }
409: PetscCall(MatConvert(lG, MATSEQAIJ, MAT_INPLACE_MATRIX, &lG));
410: PetscCall(PetscFree(lGn));
411: PetscCall(PetscFree(is_rows));
412: PetscCall(PetscFree(tcols));
413: PetscCall(MatISSetLocalMat(B, lG));
414: PetscCall(MatDestroy(&lG));
416: PetscCall(MatDestroy(&lGis));
417: lGis = B;
419: lGis->assembled = PETSC_TRUE;
420: }
421: PetscCall(MatViewFromOptions(lGis, (PetscObject)pc, "-pc_bddc_nedelec_init_G_view"));
423: /* SF for nodal dofs communications */
424: PetscCall(MatGetLocalSize(G, NULL, &Lv));
425: PetscCall(MatISGetLocalToGlobalMapping(lGis, NULL, &vl2g));
426: PetscCall(PetscObjectReference((PetscObject)vl2g));
427: PetscCall(ISLocalToGlobalMappingGetSize(vl2g, &nv));
428: PetscCall(PetscSFCreate(comm, &sfv));
429: PetscCall(ISLocalToGlobalMappingGetIndices(vl2g, &idxs));
430: PetscCall(PetscSFSetGraphLayout(sfv, lGis->cmap, nv, NULL, PETSC_OWN_POINTER, idxs));
431: PetscCall(ISLocalToGlobalMappingRestoreIndices(vl2g, &idxs));
433: if (elements_corners) {
434: IS tmp;
435: Vec global, local;
436: Mat_IS *tGis = (Mat_IS *)lGis->data;
438: PetscCall(MatCreateVecs(lGis, &global, NULL));
439: PetscCall(MatCreateVecs(tGis->A, &local, NULL));
440: PetscCall(PCBDDCGlobalToLocal(tGis->cctx, global, local, elements_corners, &tmp));
441: PetscCall(VecDestroy(&global));
442: PetscCall(VecDestroy(&local));
443: elements_corners = tmp;
444: }
446: /* Destroy temporary G */
447: PetscCall(MatISGetLocalMat(lGis, &lG));
448: PetscCall(PetscObjectReference((PetscObject)lG));
449: PetscCall(MatDestroy(&G));
450: PetscCall(MatDestroy(&lGis));
452: if (print) {
453: PetscCall(PetscObjectSetName((PetscObject)lG, "initial_lG"));
454: PetscCall(MatView(lG, NULL));
455: }
457: /* Save lG for values insertion in change of basis */
458: PetscCall(MatDuplicate(lG, MAT_COPY_VALUES, &lGinit));
460: /* Analyze the edge-nodes connections (duplicate lG) */
461: PetscCall(MatDuplicate(lG, MAT_COPY_VALUES, &lGe));
462: PetscCall(MatSetOption(lGe, MAT_KEEP_NONZERO_PATTERN, PETSC_FALSE));
463: PetscCall(PetscBTCreate(nv, &btv));
464: PetscCall(PetscBTCreate(ne, &bte));
465: PetscCall(PetscBTCreate(ne, &btb));
466: PetscCall(PetscBTCreate(ne, &btbd));
467: /* need to import the boundary specification to ensure the
468: proper detection of coarse edges' endpoints */
469: if (pcbddc->DirichletBoundariesLocal) {
470: IS is;
472: if (fl2g) {
473: PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_MASK, pcbddc->DirichletBoundariesLocal, &is));
474: } else {
475: is = pcbddc->DirichletBoundariesLocal;
476: }
477: PetscCall(ISGetLocalSize(is, &cum));
478: PetscCall(ISGetIndices(is, &idxs));
479: for (i = 0; i < cum; i++) {
480: if (idxs[i] >= 0 && idxs[i] < ne) {
481: PetscCall(PetscBTSet(btb, idxs[i]));
482: PetscCall(PetscBTSet(btbd, idxs[i]));
483: }
484: }
485: PetscCall(ISRestoreIndices(is, &idxs));
486: if (fl2g) PetscCall(ISDestroy(&is));
487: }
488: if (pcbddc->NeumannBoundariesLocal) {
489: IS is;
491: if (fl2g) {
492: PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_MASK, pcbddc->NeumannBoundariesLocal, &is));
493: } else {
494: is = pcbddc->NeumannBoundariesLocal;
495: }
496: PetscCall(ISGetLocalSize(is, &cum));
497: PetscCall(ISGetIndices(is, &idxs));
498: for (i = 0; i < cum; i++) {
499: if (idxs[i] >= 0 && idxs[i] < ne) PetscCall(PetscBTSet(btb, idxs[i]));
500: }
501: PetscCall(ISRestoreIndices(is, &idxs));
502: if (fl2g) PetscCall(ISDestroy(&is));
503: }
505: /* Count neighs per dof */
506: PetscCall(ISLocalToGlobalMappingGetNodeInfo(el2g, NULL, &ecount, NULL));
507: PetscCall(ISLocalToGlobalMappingGetNodeInfo(vl2g, NULL, &vcount, NULL));
509: /* need to remove coarse faces' dofs and coarse edges' dirichlet dofs
510: for proper detection of coarse edges' endpoints */
511: PetscCall(PetscBTCreate(ne, &btee));
512: for (i = 0; i < ne; i++) {
513: if ((ecount[i] > 2 && !PetscBTLookup(btbd, i)) || (ecount[i] == 2 && PetscBTLookup(btb, i))) PetscCall(PetscBTSet(btee, i));
514: }
515: PetscCall(PetscMalloc1(ne, &marks));
516: if (!conforming) {
517: PetscCall(MatTranspose(lGe, MAT_INITIAL_MATRIX, &lGt));
518: PetscCall(MatGetRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
519: }
520: PetscCall(MatGetRowIJ(lGe, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
521: PetscCall(MatSeqAIJGetArray(lGe, &vals));
522: cum = 0;
523: for (i = 0; i < ne; i++) {
524: /* eliminate rows corresponding to edge dofs belonging to coarse faces */
525: if (!PetscBTLookup(btee, i)) {
526: marks[cum++] = i;
527: continue;
528: }
529: /* set badly connected edge dofs as primal */
530: if (!conforming) {
531: if (ii[i + 1] - ii[i] != order + 1) { /* every row of G on the coarse edge should list order+1 nodal dofs */
532: marks[cum++] = i;
533: PetscCall(PetscBTSet(bte, i));
534: for (j = ii[i]; j < ii[i + 1]; j++) PetscCall(PetscBTSet(btv, jj[j]));
535: } else {
536: /* every edge dofs should be connected through a certain number of nodal dofs
537: to other edge dofs belonging to coarse edges
538: - at most 2 endpoints
539: - order-1 interior nodal dofs
540: - no undefined nodal dofs (nconn < order)
541: */
542: PetscInt ends = 0, ints = 0, undef = 0;
543: for (j = ii[i]; j < ii[i + 1]; j++) {
544: PetscInt v = jj[j], k;
545: PetscInt nconn = iit[v + 1] - iit[v];
546: for (k = iit[v]; k < iit[v + 1]; k++)
547: if (!PetscBTLookup(btee, jjt[k])) nconn--;
548: if (nconn > order) ends++;
549: else if (nconn == order) ints++;
550: else undef++;
551: }
552: if (undef || ends > 2 || ints != order - 1) {
553: marks[cum++] = i;
554: PetscCall(PetscBTSet(bte, i));
555: for (j = ii[i]; j < ii[i + 1]; j++) PetscCall(PetscBTSet(btv, jj[j]));
556: }
557: }
558: }
559: /* We assume the order on the element edge is ii[i+1]-ii[i]-1 */
560: if (!order && ii[i + 1] != ii[i]) {
561: PetscScalar val = 1. / (ii[i + 1] - ii[i] - 1);
562: for (j = ii[i]; j < ii[i + 1]; j++) vals[j] = val;
563: }
564: }
565: PetscCall(PetscBTDestroy(&btee));
566: PetscCall(MatSeqAIJRestoreArray(lGe, &vals));
567: PetscCall(MatRestoreRowIJ(lGe, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
568: if (!conforming) {
569: PetscCall(MatRestoreRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
570: PetscCall(MatDestroy(&lGt));
571: }
572: PetscCall(MatZeroRows(lGe, cum, marks, 0., NULL, NULL));
574: /* identify splitpoints and corner candidates */
575: PetscCall(PetscMalloc2(nv, &sfvleaves, Lv, &sfvroots));
576: PetscCall(PetscBTCreate(nv, &btvcand));
577: if (elements_corners) {
578: PetscCall(ISGetLocalSize(elements_corners, &cum));
579: PetscCall(ISGetIndices(elements_corners, &idxs));
580: for (i = 0; i < cum; i++) PetscCall(PetscBTSet(btvcand, idxs[i]));
581: PetscCall(ISRestoreIndices(elements_corners, &idxs));
582: }
584: if (matis->allow_repeated) { /* assign a uniq global id to edge local subsets and communicate it with nodal space */
585: PetscSF emlsf, vmlsf;
586: PetscInt *eleaves, *vleaves, *meleaves, *mvleaves;
587: PetscInt cum_subs = 0, n_subs = pcbddc->n_local_subs, bs, emnr, emnl, vmnr, vmnl;
589: PetscCall(ISLocalToGlobalMappingGetBlockSize(el2g, &bs));
590: PetscCheck(bs == 1, comm, PETSC_ERR_SUP, "Not coded");
591: PetscCall(ISLocalToGlobalMappingGetBlockSize(vl2g, &bs));
592: PetscCheck(bs == 1, comm, PETSC_ERR_SUP, "Not coded");
594: PetscCall(ISLocalToGlobalMappingGetBlockMultiLeavesSF(el2g, &emlsf));
595: PetscCall(ISLocalToGlobalMappingGetBlockMultiLeavesSF(vl2g, &vmlsf));
597: PetscCall(PetscSFGetGraph(emlsf, &emnr, &emnl, NULL, NULL));
598: for (i = 0, j = 0; i < ne; i++) j += ecount[i];
599: PetscCheck(emnr == ne, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of roots in edge multi-leaves SF %" PetscInt_FMT " != %" PetscInt_FMT, emnr, ne);
600: PetscCheck(emnl == j, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of leaves in edge multi-leaves SF %" PetscInt_FMT " != %" PetscInt_FMT, emnl, j);
602: PetscCall(PetscSFGetGraph(vmlsf, &vmnr, &vmnl, NULL, NULL));
603: for (i = 0, j = 0; i < nv; i++) j += vcount[i];
604: PetscCheck(vmnr == nv, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of roots in nodal multi-leaves SF %" PetscInt_FMT " != %" PetscInt_FMT, vmnr, nv);
605: PetscCheck(vmnl == j, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of leaves in nodal multi-leaves SF %" PetscInt_FMT " != %" PetscInt_FMT, vmnl, j);
607: PetscCall(PetscMalloc1(ne, &eleaves));
608: PetscCall(PetscMalloc1(nv, &vleaves));
609: for (i = 0; i < ne; i++) eleaves[i] = PETSC_INT_MAX;
610: for (i = 0; i < nv; i++) vleaves[i] = PETSC_INT_MAX;
611: PetscCall(PetscMalloc1(emnl, &meleaves));
612: PetscCall(PetscMalloc1(vmnl, &mvleaves));
614: PetscCallMPI(MPI_Exscan(&n_subs, &cum_subs, 1, MPIU_INT, MPI_SUM, comm));
615: PetscCall(MatGetRowIJ(lGinit, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
616: for (i = 0; i < n_subs; i++) {
617: const PetscInt *idxs;
618: const PetscInt subid = cum_subs + i;
619: PetscInt ns;
621: PetscCall(ISGetLocalSize(pcbddc->local_subs[i], &ns));
622: PetscCall(ISGetIndices(pcbddc->local_subs[i], &idxs));
623: for (j = 0; j < ns; j++) {
624: const PetscInt e = idxs[j];
626: eleaves[e] = subid;
627: for (PetscInt k = ii[e]; k < ii[e + 1]; k++) vleaves[jj[k]] = subid;
628: }
629: PetscCall(ISRestoreIndices(pcbddc->local_subs[i], &idxs));
630: }
631: PetscCall(MatRestoreRowIJ(lGinit, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
632: PetscCall(PetscSFBcastBegin(emlsf, MPIU_INT, eleaves, meleaves, MPI_REPLACE));
633: PetscCall(PetscSFBcastEnd(emlsf, MPIU_INT, eleaves, meleaves, MPI_REPLACE));
634: PetscCall(PetscSFBcastBegin(vmlsf, MPIU_INT, vleaves, mvleaves, MPI_REPLACE));
635: PetscCall(PetscSFBcastEnd(vmlsf, MPIU_INT, vleaves, mvleaves, MPI_REPLACE));
636: PetscCall(PetscFree(eleaves));
637: PetscCall(PetscFree(vleaves));
639: PetscCall(PetscMalloc1(ne + 1, &eneighs));
640: eneighs[0] = meleaves;
641: for (i = 0; i < ne; i++) {
642: PetscCall(PetscSortInt(ecount[i], eneighs[i]));
643: eneighs[i + 1] = eneighs[i] + ecount[i];
644: }
645: PetscCall(PetscMalloc1(nv + 1, &vneighs));
646: vneighs[0] = mvleaves;
647: for (i = 0; i < nv; i++) {
648: PetscCall(PetscSortInt(vcount[i], vneighs[i]));
649: vneighs[i + 1] = vneighs[i] + vcount[i];
650: }
651: } else {
652: PetscCall(ISLocalToGlobalMappingGetNodeInfo(el2g, NULL, NULL, &eneighs));
653: PetscCall(ISLocalToGlobalMappingGetNodeInfo(vl2g, NULL, NULL, &vneighs));
654: }
656: PetscCall(MatTranspose(lGe, MAT_INITIAL_MATRIX, &lGt));
657: if (print) {
658: PetscCall(PetscObjectSetName((PetscObject)lGe, "edgerestr_lG"));
659: PetscCall(MatView(lGe, NULL));
660: PetscCall(PetscObjectSetName((PetscObject)lGt, "edgerestr_lGt"));
661: PetscCall(MatView(lGt, NULL));
662: }
663: PetscCall(MatGetRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
664: PetscCall(MatSeqAIJGetArray(lGt, &vals));
665: for (i = 0; i < nv; i++) {
666: PetscInt ord = order, test = ii[i + 1] - ii[i], vc = vcount[i];
667: PetscBool sneighs = PETSC_TRUE, bdir = PETSC_FALSE;
668: if (!order) { /* variable order */
669: PetscReal vorder = 0.;
671: for (j = ii[i]; j < ii[i + 1]; j++) vorder += PetscRealPart(vals[j]);
672: test = PetscFloorReal(vorder + 10. * PETSC_SQRT_MACHINE_EPSILON);
673: PetscCheck(vorder - test <= PETSC_SQRT_MACHINE_EPSILON, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unexpected value for vorder: %g (%" PetscInt_FMT ")", (double)vorder, test);
674: ord = 1;
675: }
676: for (j = ii[i]; j < ii[i + 1] && sneighs; j++) {
677: const PetscInt e = jj[j];
679: if (PetscBTLookup(btbd, e)) {
680: bdir = PETSC_TRUE;
681: break;
682: }
683: if (vc != ecount[e]) {
684: sneighs = PETSC_FALSE;
685: } else {
686: const PetscInt *vn = vneighs[i], *en = eneighs[e];
688: for (PetscInt k = 0; k < vc; k++) {
689: if (vn[k] != en[k]) {
690: sneighs = PETSC_FALSE;
691: break;
692: }
693: }
694: }
695: }
696: if (elements_corners) test = 0;
697: if (!sneighs || test >= 3 * ord || bdir) { /* splitpoints */
698: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, "SPLITPOINT %" PetscInt_FMT " (%s %s %s)\n", i, PetscBools[!sneighs], PetscBools[test >= 3 * ord], PetscBools[bdir]));
699: PetscCall(PetscBTSet(btv, i));
700: } else if (test == ord) {
701: if (order == 1 || (!order && ii[i + 1] - ii[i] == 1)) {
702: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, "ENDPOINT %" PetscInt_FMT "\n", i));
703: PetscCall(PetscBTSet(btv, i));
704: } else if (!elements_corners) {
705: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, "CORNER CANDIDATE %" PetscInt_FMT "\n", i));
706: PetscCall(PetscBTSet(btvcand, i));
707: }
708: }
709: }
710: PetscCall(PetscBTDestroy(&btbd));
712: /* a candidate is valid if it is connected to another candidate via a non-primal edge dof */
713: if (order != 1) {
714: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, "INSPECTING CANDIDATES\n"));
715: PetscCall(MatGetRowIJ(lGe, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
716: for (i = 0; i < nv; i++) {
717: if (PetscBTLookup(btvcand, i)) {
718: PetscBool found = PETSC_FALSE;
719: for (j = ii[i]; j < ii[i + 1] && !found; j++) {
720: PetscInt k, e = jj[j];
721: if (PetscBTLookup(bte, e)) continue;
722: for (k = iit[e]; k < iit[e + 1]; k++) {
723: PetscInt v = jjt[k];
724: if (v != i && PetscBTLookup(btvcand, v)) {
725: found = PETSC_TRUE;
726: break;
727: }
728: }
729: }
730: if (!found) {
731: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " CANDIDATE %" PetscInt_FMT " CLEARED\n", i));
732: PetscCall(PetscBTClear(btvcand, i));
733: } else {
734: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " CANDIDATE %" PetscInt_FMT " ACCEPTED\n", i));
735: }
736: }
737: }
738: PetscCall(MatRestoreRowIJ(lGe, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
739: }
740: PetscCall(MatSeqAIJRestoreArray(lGt, &vals));
741: PetscCall(MatRestoreRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
742: PetscCall(MatDestroy(&lGe));
744: /* Get the local G^T explicitly */
745: PetscCall(MatDestroy(&lGt));
746: PetscCall(MatTranspose(lG, MAT_INITIAL_MATRIX, &lGt));
747: PetscCall(MatSetOption(lGt, MAT_KEEP_NONZERO_PATTERN, PETSC_FALSE));
749: /* Mark shared nodal dofs */
750: PetscCall(PetscBTCreate(nv, &btvi));
751: for (i = 0; i < nv; i++) {
752: if (vcount[i] > 1) PetscCall(PetscBTSet(btvi, i));
753: }
755: if (matis->allow_repeated) {
756: PetscCall(PetscFree(eneighs[0]));
757: PetscCall(PetscFree(vneighs[0]));
758: PetscCall(PetscFree(eneighs));
759: PetscCall(PetscFree(vneighs));
760: }
761: PetscCall(ISLocalToGlobalMappingRestoreNodeInfo(el2g, NULL, &ecount, &eneighs));
762: PetscCall(ISLocalToGlobalMappingRestoreNodeInfo(vl2g, NULL, &vcount, &vneighs));
764: /* communicate corners and splitpoints */
765: PetscCall(PetscMalloc1(nv, &vmarks));
766: PetscCall(PetscArrayzero(sfvleaves, nv));
767: PetscCall(PetscArrayzero(sfvroots, Lv));
768: for (i = 0; i < nv; i++)
769: if (PetscUnlikely(PetscBTLookup(btv, i))) sfvleaves[i] = 1;
771: if (print) {
772: IS tbz;
774: cum = 0;
775: for (i = 0; i < nv; i++)
776: if (sfvleaves[i]) vmarks[cum++] = i;
778: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, cum, vmarks, PETSC_COPY_VALUES, &tbz));
779: PetscCall(PetscObjectSetName((PetscObject)tbz, "corners_to_be_zeroed_local"));
780: PetscCall(ISView(tbz, NULL));
781: PetscCall(ISDestroy(&tbz));
782: }
784: PetscCall(PetscSFReduceBegin(sfv, MPIU_INT, sfvleaves, sfvroots, MPI_SUM));
785: PetscCall(PetscSFReduceEnd(sfv, MPIU_INT, sfvleaves, sfvroots, MPI_SUM));
786: PetscCall(PetscSFBcastBegin(sfv, MPIU_INT, sfvroots, sfvleaves, MPI_REPLACE));
787: PetscCall(PetscSFBcastEnd(sfv, MPIU_INT, sfvroots, sfvleaves, MPI_REPLACE));
789: /* Zero rows of lGt corresponding to identified corners
790: and interior nodal dofs */
791: cum = 0;
792: for (i = 0; i < nv; i++) {
793: if (sfvleaves[i]) {
794: vmarks[cum++] = i;
795: PetscCall(PetscBTSet(btv, i));
796: } else if (!PetscBTLookup(btvi, i)) vmarks[cum++] = i;
797: }
798: PetscCall(PetscBTDestroy(&btvi));
799: if (print) {
800: IS tbz;
802: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, cum, vmarks, PETSC_COPY_VALUES, &tbz));
803: PetscCall(PetscObjectSetName((PetscObject)tbz, "corners_to_be_zeroed_with_interior"));
804: PetscCall(ISView(tbz, NULL));
805: PetscCall(ISDestroy(&tbz));
806: }
807: PetscCall(MatZeroRows(lGt, cum, vmarks, 0., NULL, NULL));
808: PetscCall(PetscFree(vmarks));
809: PetscCall(PetscSFDestroy(&sfv));
810: PetscCall(PetscFree2(sfvleaves, sfvroots));
812: /* Recompute G */
813: PetscCall(MatDestroy(&lG));
814: PetscCall(MatTranspose(lGt, MAT_INITIAL_MATRIX, &lG));
815: if (print) {
816: PetscCall(PetscObjectSetName((PetscObject)lG, "used_lG"));
817: PetscCall(MatView(lG, NULL));
818: PetscCall(PetscObjectSetName((PetscObject)lGt, "used_lGt"));
819: PetscCall(MatView(lGt, NULL));
820: }
822: /* Get primal dofs (if any) */
823: cum = 0;
824: for (i = 0; i < ne; i++) {
825: if (PetscUnlikely(PetscBTLookup(bte, i))) marks[cum++] = i;
826: }
827: if (fl2g) PetscCall(ISLocalToGlobalMappingApply(fl2g, cum, marks, marks));
828: PetscCall(ISCreateGeneral(comm, cum, marks, PETSC_COPY_VALUES, &primals));
829: if (print) {
830: PetscCall(PetscObjectSetName((PetscObject)primals, "prescribed_primal_dofs"));
831: PetscCall(ISView(primals, NULL));
832: }
833: PetscCall(PetscBTDestroy(&bte));
834: /* TODO: what if the user passed in some of them ? */
835: PetscCall(PCBDDCSetPrimalVerticesLocalIS(pc, primals));
836: PetscCall(ISDestroy(&primals));
838: /* Compute edge connectivity */
839: PetscCall(PetscObjectSetOptionsPrefix((PetscObject)lG, "econn_"));
841: /* Symbolic conn = lG*lGt */
842: if (!elements_corners) { /* if present, we assume we are in the element-by-element case and the CSR graph is not needed */
843: PetscCall(MatProductCreate(lG, lGt, NULL, &conn));
844: PetscCall(MatProductSetType(conn, MATPRODUCT_AB));
845: PetscCall(MatProductSetAlgorithm(conn, "default"));
846: PetscCall(MatProductSetFill(conn, PETSC_DEFAULT));
847: PetscCall(PetscObjectSetOptionsPrefix((PetscObject)conn, "econn_"));
848: PetscCall(MatProductSetFromOptions(conn));
849: PetscCall(MatProductSymbolic(conn));
850: PetscCall(MatGetRowIJ(conn, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
851: if (fl2g) {
852: PetscBT btf;
853: PetscInt *iia, *jja, *iiu, *jju;
854: PetscBool rest = PETSC_FALSE, free = PETSC_FALSE;
856: /* create CSR for all local dofs */
857: PetscCall(PetscMalloc1(n + 1, &iia));
858: if (pcbddc->mat_graph->nvtxs_csr) { /* the user has passed in a CSR graph */
859: PetscCheck(pcbddc->mat_graph->nvtxs_csr == n, PETSC_COMM_SELF, PETSC_ERR_USER, "Invalid size of CSR graph %" PetscInt_FMT ". Should be %" PetscInt_FMT, pcbddc->mat_graph->nvtxs_csr, n);
860: iiu = pcbddc->mat_graph->xadj;
861: jju = pcbddc->mat_graph->adjncy;
862: } else if (pcbddc->use_local_adj) {
863: rest = PETSC_TRUE;
864: PetscCall(MatGetRowIJ(matis->A, 0, PETSC_TRUE, PETSC_FALSE, &i, (const PetscInt **)&iiu, (const PetscInt **)&jju, &done));
865: } else {
866: free = PETSC_TRUE;
867: PetscCall(PetscMalloc2(n + 1, &iiu, n, &jju));
868: iiu[0] = 0;
869: for (i = 0; i < n; i++) {
870: iiu[i + 1] = i + 1;
871: jju[i] = -1;
872: }
873: }
875: /* import sizes of CSR */
876: iia[0] = 0;
877: for (i = 0; i < n; i++) iia[i + 1] = iiu[i + 1] - iiu[i];
879: /* overwrite entries corresponding to the Nedelec field */
880: PetscCall(PetscBTCreate(n, &btf));
881: PetscCall(ISGetIndices(nedfieldlocal, &idxs));
882: for (i = 0; i < ne; i++) {
883: PetscCall(PetscBTSet(btf, idxs[i]));
884: iia[idxs[i] + 1] = ii[i + 1] - ii[i];
885: }
887: /* iia in CSR */
888: for (i = 0; i < n; i++) iia[i + 1] += iia[i];
890: /* jja in CSR */
891: PetscCall(PetscMalloc1(iia[n], &jja));
892: for (i = 0; i < n; i++)
893: if (!PetscBTLookup(btf, i))
894: for (j = 0; j < iiu[i + 1] - iiu[i]; j++) jja[iia[i] + j] = jju[iiu[i] + j];
896: /* map edge dofs connectivity */
897: if (jj) {
898: PetscCall(ISLocalToGlobalMappingApply(fl2g, ii[ne], jj, (PetscInt *)jj));
899: for (i = 0; i < ne; i++) {
900: PetscInt e = idxs[i];
901: for (j = 0; j < ii[i + 1] - ii[i]; j++) jja[iia[e] + j] = jj[ii[i] + j];
902: }
903: }
904: PetscCall(ISRestoreIndices(nedfieldlocal, &idxs));
905: PetscCall(PCBDDCSetLocalAdjacencyGraph(pc, n, iia, jja, PETSC_COPY_VALUES));
906: if (rest) PetscCall(MatRestoreRowIJ(matis->A, 0, PETSC_TRUE, PETSC_FALSE, &i, (const PetscInt **)&iiu, (const PetscInt **)&jju, &done));
907: if (free) PetscCall(PetscFree2(iiu, jju));
908: PetscCall(PetscBTDestroy(&btf));
909: } else {
910: PetscCall(PCBDDCSetLocalAdjacencyGraph(pc, n, ii, jj, PETSC_COPY_VALUES));
911: }
912: PetscCall(MatRestoreRowIJ(conn, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
913: PetscCall(MatDestroy(&conn));
914: }
916: /* Analyze interface for edge dofs */
917: PetscCall(PCBDDCAnalyzeInterface(pc));
918: pcbddc->mat_graph->twodim = PETSC_FALSE;
920: /* Get coarse edges in the edge space */
921: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, &nee, &alleedges, &allprimals));
923: if (fl2g) {
924: PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_DROP, allprimals, &primals));
925: PetscCall(PetscMalloc1(nee, &eedges));
926: for (i = 0; i < nee; i++) PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_DROP, alleedges[i], &eedges[i]));
927: } else {
928: eedges = alleedges;
929: primals = allprimals;
930: }
932: /* Mark fine edge dofs with their coarse edge id */
933: PetscCall(PetscArrayzero(marks, ne));
934: PetscCall(ISGetLocalSize(primals, &cum));
935: PetscCall(ISGetIndices(primals, &idxs));
936: for (i = 0; i < cum; i++) marks[idxs[i]] = nee + 1;
937: PetscCall(ISRestoreIndices(primals, &idxs));
938: if (print) {
939: PetscCall(PetscObjectSetName((PetscObject)primals, "obtained_primal_dofs"));
940: PetscCall(ISView(primals, NULL));
941: }
943: maxsize = 0;
944: for (i = 0; i < nee; i++) {
945: PetscInt size, mark = i + 1;
947: PetscCall(ISGetLocalSize(eedges[i], &size));
948: PetscCall(ISGetIndices(eedges[i], &idxs));
949: for (j = 0; j < size; j++) marks[idxs[j]] = mark;
950: PetscCall(ISRestoreIndices(eedges[i], &idxs));
951: maxsize = PetscMax(maxsize, size);
952: }
954: /* Find coarse edge endpoints */
955: PetscCall(MatGetRowIJ(lG, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
956: PetscCall(MatGetRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
957: for (i = 0; i < nee; i++) {
958: PetscInt mark = i + 1, size;
960: PetscCall(ISGetLocalSize(eedges[i], &size));
961: if (!size && nedfieldlocal) continue;
962: PetscCheck(size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unexpected zero sized edge %" PetscInt_FMT, i);
963: PetscCall(ISGetIndices(eedges[i], &idxs));
964: if (print) {
965: PetscCall(PetscPrintf(PETSC_COMM_SELF, "ENDPOINTS ANALYSIS EDGE %" PetscInt_FMT "\n", i));
966: PetscCall(ISView(eedges[i], NULL));
967: }
968: for (j = 0; j < size; j++) {
969: PetscInt k, ee = idxs[j];
970: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " idx %" PetscInt_FMT "\n", ee));
971: for (k = ii[ee]; k < ii[ee + 1]; k++) {
972: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " inspect %" PetscInt_FMT "\n", jj[k]));
973: if (PetscBTLookup(btv, jj[k])) {
974: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " corner found (already set) %" PetscInt_FMT "\n", jj[k]));
975: } else if (PetscBTLookup(btvcand, jj[k])) { /* is it ok? */
976: PetscInt k2;
977: PetscBool corner = PETSC_FALSE;
978: for (k2 = iit[jj[k]]; k2 < iit[jj[k] + 1]; k2++) {
979: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " INSPECTING %" PetscInt_FMT ": mark %" PetscInt_FMT " (ref mark %" PetscInt_FMT "), boundary %d\n", jjt[k2], marks[jjt[k2]], mark, (int)!!PetscBTLookup(btb, jjt[k2])));
980: /* it's a corner if either is connected with an edge dof belonging to a different cc or
981: if the edge dof lie on the natural part of the boundary */
982: if ((marks[jjt[k2]] && marks[jjt[k2]] != mark) || (!marks[jjt[k2]] && PetscBTLookup(btb, jjt[k2]))) {
983: corner = PETSC_TRUE;
984: break;
985: }
986: }
987: if (corner) { /* found the nodal dof corresponding to the endpoint of the edge */
988: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " corner found %" PetscInt_FMT "\n", jj[k]));
989: PetscCall(PetscBTSet(btv, jj[k]));
990: } else {
991: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " no corners found\n"));
992: }
993: }
994: }
995: }
996: PetscCall(ISRestoreIndices(eedges[i], &idxs));
997: }
998: PetscCall(MatRestoreRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
999: PetscCall(MatRestoreRowIJ(lG, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1000: PetscCall(PetscBTDestroy(&btb));
1002: /* Reset marked primal dofs */
1003: PetscCall(ISGetLocalSize(primals, &cum));
1004: PetscCall(ISGetIndices(primals, &idxs));
1005: for (i = 0; i < cum; i++) marks[idxs[i]] = 0;
1006: PetscCall(ISRestoreIndices(primals, &idxs));
1008: /* Now use the initial lG */
1009: PetscCall(MatDestroy(&lG));
1010: PetscCall(MatDestroy(&lGt));
1011: lG = lGinit;
1012: PetscCall(MatTranspose(lG, MAT_INITIAL_MATRIX, &lGt));
1014: /* Compute extended cols indices */
1015: PetscCall(PetscBTCreate(nv, &btvc));
1016: PetscCall(PetscBTCreate(nee, &bter));
1017: PetscCall(MatGetRowIJ(lG, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1018: PetscCall(MatSeqAIJGetMaxRowNonzeros(lG, &i));
1019: i *= maxsize;
1020: PetscCall(PetscCalloc1(nee, &extcols));
1021: PetscCall(PetscMalloc2(i, &extrow, i, &gidxs));
1022: eerr = PETSC_FALSE;
1023: for (i = 0; i < nee; i++) {
1024: PetscInt size, found = 0;
1026: cum = 0;
1027: PetscCall(ISGetLocalSize(eedges[i], &size));
1028: if (!size && nedfieldlocal) continue;
1029: PetscCheck(size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unexpected zero sized edge %" PetscInt_FMT, i);
1030: PetscCall(ISGetIndices(eedges[i], &idxs));
1031: PetscCall(PetscBTMemzero(nv, btvc));
1032: for (j = 0; j < size; j++) {
1033: PetscInt k, ee = idxs[j];
1034: for (k = ii[ee]; k < ii[ee + 1]; k++) {
1035: PetscInt vv = jj[k];
1036: if (!PetscBTLookup(btv, vv)) extrow[cum++] = vv;
1037: else if (!PetscBTLookupSet(btvc, vv)) found++;
1038: }
1039: }
1040: PetscCall(ISRestoreIndices(eedges[i], &idxs));
1041: PetscCall(PetscSortRemoveDupsInt(&cum, extrow));
1042: PetscCall(ISLocalToGlobalMappingApply(vl2g, cum, extrow, gidxs));
1043: PetscCall(PetscSortIntWithArray(cum, gidxs, extrow));
1044: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, cum, extrow, PETSC_COPY_VALUES, &extcols[i]));
1045: /* it may happen that endpoints are not defined at this point
1046: if it is the case, mark this edge for a second pass */
1047: if (cum != size - 1 || found != 2) {
1048: PetscCall(PetscBTSet(bter, i));
1049: if (print) {
1050: PetscCall(PetscObjectSetName((PetscObject)eedges[i], "error_edge"));
1051: PetscCall(ISView(eedges[i], NULL));
1052: PetscCall(PetscObjectSetName((PetscObject)extcols[i], "error_extcol"));
1053: PetscCall(ISView(extcols[i], NULL));
1054: }
1055: eerr = PETSC_TRUE;
1056: }
1057: }
1058: /* PetscCheck(!eerr,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Unexpected SIZE OF EDGE > EXTCOL FIRST PASS"); */
1059: PetscCallMPI(MPIU_Allreduce(&eerr, &done, 1, MPIU_BOOL, MPI_LOR, comm));
1060: if (done) {
1061: PetscInt *newprimals;
1063: PetscCall(PetscMalloc1(ne, &newprimals));
1064: PetscCall(ISGetLocalSize(primals, &cum));
1065: PetscCall(ISGetIndices(primals, &idxs));
1066: PetscCall(PetscArraycpy(newprimals, idxs, cum));
1067: PetscCall(ISRestoreIndices(primals, &idxs));
1068: PetscCall(MatGetRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
1069: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, "DOING SECOND PASS (eerr %s)\n", PetscBools[eerr]));
1070: for (i = 0; i < nee; i++) {
1071: PetscBool has_candidates = PETSC_FALSE;
1072: if (PetscBTLookup(bter, i)) {
1073: PetscInt size, mark = i + 1;
1075: PetscCall(ISGetLocalSize(eedges[i], &size));
1076: PetscCall(ISGetIndices(eedges[i], &idxs));
1077: /* for (j=0;j<size;j++) newprimals[cum++] = idxs[j]; */
1078: for (j = 0; j < size; j++) {
1079: PetscInt k, ee = idxs[j];
1080: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Inspecting edge dof %" PetscInt_FMT " [%" PetscInt_FMT " %" PetscInt_FMT ")\n", ee, ii[ee], ii[ee + 1]));
1081: for (k = ii[ee]; k < ii[ee + 1]; k++) {
1082: /* set all candidates located on the edge as corners */
1083: if (PetscBTLookup(btvcand, jj[k])) {
1084: PetscInt k2, vv = jj[k];
1085: has_candidates = PETSC_TRUE;
1086: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Candidate set to vertex %" PetscInt_FMT "\n", vv));
1087: PetscCall(PetscBTSet(btv, vv));
1088: /* set all edge dofs connected to candidate as primals */
1089: for (k2 = iit[vv]; k2 < iit[vv + 1]; k2++) {
1090: if (marks[jjt[k2]] == mark) {
1091: PetscInt k3, ee2 = jjt[k2];
1092: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Connected edge dof set to primal %" PetscInt_FMT "\n", ee2));
1093: newprimals[cum++] = ee2;
1094: /* finally set the new corners */
1095: for (k3 = ii[ee2]; k3 < ii[ee2 + 1]; k3++) {
1096: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Connected nodal dof set to vertex %" PetscInt_FMT "\n", jj[k3]));
1097: PetscCall(PetscBTSet(btv, jj[k3]));
1098: }
1099: }
1100: }
1101: } else {
1102: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Not a candidate vertex %" PetscInt_FMT "\n", jj[k]));
1103: }
1104: }
1105: }
1106: if (!has_candidates) { /* circular edge */
1107: PetscInt k, ee = idxs[0], *tmarks;
1109: PetscCall(PetscCalloc1(ne, &tmarks));
1110: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Circular edge %" PetscInt_FMT "\n", i));
1111: for (k = ii[ee]; k < ii[ee + 1]; k++) {
1112: PetscInt k2;
1113: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Set to corner %" PetscInt_FMT "\n", jj[k]));
1114: PetscCall(PetscBTSet(btv, jj[k]));
1115: for (k2 = iit[jj[k]]; k2 < iit[jj[k] + 1]; k2++) tmarks[jjt[k2]]++;
1116: }
1117: for (j = 0; j < size; j++) {
1118: if (tmarks[idxs[j]] > 1) {
1119: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Edge dof set to primal %" PetscInt_FMT "\n", idxs[j]));
1120: newprimals[cum++] = idxs[j];
1121: }
1122: }
1123: PetscCall(PetscFree(tmarks));
1124: }
1125: PetscCall(ISRestoreIndices(eedges[i], &idxs));
1126: }
1127: PetscCall(ISDestroy(&extcols[i]));
1128: }
1129: PetscCall(PetscFree(extcols));
1130: PetscCall(MatRestoreRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
1131: PetscCall(PetscSortRemoveDupsInt(&cum, newprimals));
1132: if (fl2g) {
1133: PetscCall(ISLocalToGlobalMappingApply(fl2g, cum, newprimals, newprimals));
1134: PetscCall(ISDestroy(&primals));
1135: for (i = 0; i < nee; i++) PetscCall(ISDestroy(&eedges[i]));
1136: PetscCall(PetscFree(eedges));
1137: }
1138: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, &nee, &alleedges, &allprimals));
1139: PetscCall(ISCreateGeneral(comm, cum, newprimals, PETSC_COPY_VALUES, &primals));
1140: PetscCall(PetscFree(newprimals));
1141: PetscCall(PCBDDCSetPrimalVerticesLocalIS(pc, primals));
1142: PetscCall(ISDestroy(&primals));
1143: PetscCall(PCBDDCAnalyzeInterface(pc));
1144: pcbddc->mat_graph->twodim = PETSC_FALSE;
1145: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, &nee, &alleedges, &allprimals));
1146: if (fl2g) {
1147: PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_DROP, allprimals, &primals));
1148: PetscCall(PetscMalloc1(nee, &eedges));
1149: for (i = 0; i < nee; i++) PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_DROP, alleedges[i], &eedges[i]));
1150: } else {
1151: eedges = alleedges;
1152: primals = allprimals;
1153: }
1154: PetscCall(PetscCalloc1(nee, &extcols));
1156: /* Mark again */
1157: PetscCall(PetscArrayzero(marks, ne));
1158: for (i = 0; i < nee; i++) {
1159: PetscInt size, mark = i + 1;
1161: PetscCall(ISGetLocalSize(eedges[i], &size));
1162: PetscCall(ISGetIndices(eedges[i], &idxs));
1163: for (j = 0; j < size; j++) marks[idxs[j]] = mark;
1164: PetscCall(ISRestoreIndices(eedges[i], &idxs));
1165: }
1166: if (print) {
1167: PetscCall(PetscObjectSetName((PetscObject)primals, "obtained_primal_dofs_secondpass"));
1168: PetscCall(ISView(primals, NULL));
1169: }
1171: /* Recompute extended cols */
1172: eerr = PETSC_FALSE;
1173: for (i = 0; i < nee; i++) {
1174: PetscInt size;
1176: cum = 0;
1177: PetscCall(ISGetLocalSize(eedges[i], &size));
1178: if (!size && nedfieldlocal) continue;
1179: PetscCheck(size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unexpected zero sized edge %" PetscInt_FMT, i);
1180: PetscCall(ISGetIndices(eedges[i], &idxs));
1181: for (j = 0; j < size; j++) {
1182: PetscInt k, ee = idxs[j];
1183: for (k = ii[ee]; k < ii[ee + 1]; k++)
1184: if (!PetscBTLookup(btv, jj[k])) extrow[cum++] = jj[k];
1185: }
1186: PetscCall(ISRestoreIndices(eedges[i], &idxs));
1187: PetscCall(PetscSortRemoveDupsInt(&cum, extrow));
1188: PetscCall(ISLocalToGlobalMappingApply(vl2g, cum, extrow, gidxs));
1189: PetscCall(PetscSortIntWithArray(cum, gidxs, extrow));
1190: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, cum, extrow, PETSC_COPY_VALUES, &extcols[i]));
1191: if (cum != size - 1) {
1192: if (print) {
1193: PetscCall(PetscObjectSetName((PetscObject)eedges[i], "error_edge_secondpass"));
1194: PetscCall(ISView(eedges[i], NULL));
1195: PetscCall(PetscObjectSetName((PetscObject)extcols[i], "error_extcol_secondpass"));
1196: PetscCall(ISView(extcols[i], NULL));
1197: }
1198: eerr = PETSC_TRUE;
1199: }
1200: }
1201: }
1202: PetscCall(MatRestoreRowIJ(lG, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1203: PetscCall(PetscFree2(extrow, gidxs));
1204: PetscCall(PetscBTDestroy(&bter));
1205: if (print) PetscCall(PCBDDCGraphASCIIView(pcbddc->mat_graph, 5, PETSC_VIEWER_STDOUT_SELF));
1206: /* an error should not occur at this point */
1207: PetscCheck(!eerr, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unexpected SIZE OF EDGE > EXTCOL SECOND PASS");
1209: /* Check the number of endpoints */
1210: PetscCall(MatGetRowIJ(lG, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1211: PetscCall(PetscMalloc1(2 * nee, &corners));
1212: PetscCall(PetscMalloc1(nee, &cedges));
1213: for (i = 0; i < nee; i++) {
1214: PetscInt size, found = 0, gc[2];
1216: /* init with defaults */
1217: cedges[i] = corners[i * 2] = corners[i * 2 + 1] = -1;
1218: PetscCall(ISGetLocalSize(eedges[i], &size));
1219: if (!size && nedfieldlocal) continue;
1220: PetscCheck(size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unexpected zero sized edge %" PetscInt_FMT, i);
1221: PetscCall(ISGetIndices(eedges[i], &idxs));
1222: PetscCall(PetscBTMemzero(nv, btvc));
1223: for (j = 0; j < size; j++) {
1224: PetscInt k, ee = idxs[j];
1225: for (k = ii[ee]; k < ii[ee + 1]; k++) {
1226: PetscInt vv = jj[k];
1227: if (PetscBTLookup(btv, vv) && !PetscBTLookupSet(btvc, vv)) {
1228: PetscCheck(found != 2, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Found more than two corners for edge %" PetscInt_FMT, i);
1229: corners[i * 2 + found++] = vv;
1230: }
1231: }
1232: }
1233: if (found != 2) {
1234: PetscInt e;
1235: if (fl2g) {
1236: PetscCall(ISLocalToGlobalMappingApply(fl2g, 1, idxs, &e));
1237: } else {
1238: e = idxs[0];
1239: }
1240: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Found %" PetscInt_FMT " corners for edge %" PetscInt_FMT " (astart %" PetscInt_FMT ", estart %" PetscInt_FMT ")", found, i, e, idxs[0]);
1241: }
1243: /* get primal dof index on this coarse edge */
1244: PetscCall(ISLocalToGlobalMappingApply(vl2g, 2, corners + 2 * i, gc));
1245: if (gc[0] > gc[1]) {
1246: PetscInt swap = corners[2 * i];
1247: corners[2 * i] = corners[2 * i + 1];
1248: corners[2 * i + 1] = swap;
1249: }
1250: cedges[i] = idxs[size - 1];
1251: PetscCall(ISRestoreIndices(eedges[i], &idxs));
1252: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, "EDGE %" PetscInt_FMT ": ce %" PetscInt_FMT ", corners (%" PetscInt_FMT ",%" PetscInt_FMT ")\n", i, cedges[i], corners[2 * i], corners[2 * i + 1]));
1253: }
1254: PetscCall(MatRestoreRowIJ(lG, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1255: PetscCall(PetscBTDestroy(&btvc));
1257: if (PetscDefined(USE_DEBUG)) {
1258: /* Inspects columns of lG (rows of lGt) and make sure the change of basis will
1259: not interfere with neighbouring coarse edges */
1260: PetscCall(PetscMalloc1(nee + 1, &emarks));
1261: PetscCall(MatGetRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1262: for (i = 0; i < nv; i++) {
1263: PetscInt emax = 0, eemax = 0;
1265: if (ii[i + 1] == ii[i] || PetscBTLookup(btv, i)) continue;
1266: PetscCall(PetscArrayzero(emarks, nee + 1));
1267: for (j = ii[i]; j < ii[i + 1]; j++) emarks[marks[jj[j]]]++;
1268: for (j = 1; j < nee + 1; j++) {
1269: if (emax < emarks[j]) {
1270: emax = emarks[j];
1271: eemax = j;
1272: }
1273: }
1274: /* not relevant for edges */
1275: if (!eemax) continue;
1277: for (j = ii[i]; j < ii[i + 1]; j++) {
1278: PetscCheck(!marks[jj[j]] || marks[jj[j]] == eemax, PETSC_COMM_SELF, PETSC_ERR_SUP, "Found 2 coarse edges (id %" PetscInt_FMT " and %" PetscInt_FMT ") connected through the %" PetscInt_FMT " nodal dof at edge dof %" PetscInt_FMT, marks[jj[j]] - 1, eemax, i, jj[j]);
1279: }
1280: }
1281: PetscCall(PetscFree(emarks));
1282: PetscCall(MatRestoreRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1283: }
1285: /* Compute extended rows indices for edge blocks of the change of basis */
1286: PetscCall(MatGetRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1287: PetscCall(MatSeqAIJGetMaxRowNonzeros(lGt, &extmem));
1288: extmem *= maxsize;
1289: PetscCall(PetscMalloc1(extmem * nee, &extrow));
1290: PetscCall(PetscMalloc1(nee, &extrows));
1291: PetscCall(PetscCalloc1(nee, &extrowcum));
1292: for (i = 0; i < nv; i++) {
1293: PetscInt mark = 0, size, start;
1295: if (ii[i + 1] == ii[i] || PetscBTLookup(btv, i)) continue;
1296: for (j = ii[i]; j < ii[i + 1]; j++)
1297: if (marks[jj[j]] && !mark) mark = marks[jj[j]];
1299: /* not relevant */
1300: if (!mark) continue;
1302: /* import extended row */
1303: mark--;
1304: start = mark * extmem + extrowcum[mark];
1305: size = ii[i + 1] - ii[i];
1306: PetscCheck(extrowcum[mark] + size <= extmem, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Not enough memory allocated %" PetscInt_FMT " > %" PetscInt_FMT, extrowcum[mark] + size, extmem);
1307: PetscCall(PetscArraycpy(extrow + start, jj + ii[i], size));
1308: extrowcum[mark] += size;
1309: }
1310: PetscCall(MatRestoreRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1311: PetscCall(MatDestroy(&lGt));
1312: PetscCall(PetscFree(marks));
1314: /* Compress extrows */
1315: cum = 0;
1316: for (i = 0; i < nee; i++) {
1317: PetscInt size = extrowcum[i], *start = extrow + i * extmem;
1318: PetscCall(PetscSortRemoveDupsInt(&size, start));
1319: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, size, start, PETSC_USE_POINTER, &extrows[i]));
1320: cum = PetscMax(cum, size);
1321: }
1322: PetscCall(PetscFree(extrowcum));
1323: PetscCall(PetscBTDestroy(&btv));
1324: PetscCall(PetscBTDestroy(&btvcand));
1326: /* Workspace for lapack inner calls and VecSetValues */
1327: PetscCall(PetscMalloc2((5 + cum + maxsize) * maxsize, &work, maxsize, &rwork));
1329: /* Create change of basis matrix (preallocation can be improved) */
1330: PetscCall(MatCreate(comm, &T));
1331: PetscCall(MatSetLayouts(T, pc->mat->rmap, pc->mat->cmap));
1332: PetscCall(MatSetType(T, MATAIJ));
1333: PetscCall(MatSeqAIJSetPreallocation(T, maxsize, NULL));
1334: PetscCall(MatMPIAIJSetPreallocation(T, maxsize, NULL, maxsize, NULL));
1335: PetscCall(MatSetLocalToGlobalMapping(T, al2g, al2g));
1336: PetscCall(MatSetOption(T, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));
1337: PetscCall(MatSetOption(T, MAT_ROW_ORIENTED, PETSC_FALSE));
1338: PetscCall(ISLocalToGlobalMappingDestroy(&al2g));
1340: /* Defaults to identity */
1341: for (i = pc->mat->rmap->rstart; i < pc->mat->rmap->rend; i++) PetscCall(MatSetValue(T, i, i, 1.0, INSERT_VALUES));
1343: /* Create discrete gradient for the coarser level if needed */
1344: PetscCall(MatDestroy(&pcbddc->nedcG));
1345: PetscCall(ISDestroy(&pcbddc->nedclocal));
1346: if (pcbddc->current_level < pcbddc->max_levels) {
1347: ISLocalToGlobalMapping cel2g, cvl2g;
1348: IS wis, gwis;
1349: PetscInt cnv, cne;
1351: PetscCall(ISCreateGeneral(comm, nee, cedges, PETSC_COPY_VALUES, &wis));
1352: if (fl2g) {
1353: PetscCall(ISLocalToGlobalMappingApplyIS(fl2g, wis, &pcbddc->nedclocal));
1354: } else {
1355: PetscCall(PetscObjectReference((PetscObject)wis));
1356: pcbddc->nedclocal = wis;
1357: }
1358: PetscCall(ISLocalToGlobalMappingApplyIS(el2g, wis, &gwis));
1359: PetscCall(ISDestroy(&wis));
1360: PetscCall(ISRenumber(gwis, NULL, &cne, &wis));
1361: PetscCall(ISLocalToGlobalMappingCreateIS(wis, &cel2g));
1362: PetscCall(ISDestroy(&wis));
1363: PetscCall(ISDestroy(&gwis));
1365: PetscCall(ISCreateGeneral(comm, 2 * nee, corners, PETSC_USE_POINTER, &wis));
1366: PetscCall(ISLocalToGlobalMappingApplyIS(vl2g, wis, &gwis));
1367: PetscCall(ISDestroy(&wis));
1368: PetscCall(ISRenumber(gwis, NULL, &cnv, &wis));
1369: PetscCall(ISLocalToGlobalMappingCreateIS(wis, &cvl2g));
1370: PetscCall(ISDestroy(&wis));
1371: PetscCall(ISDestroy(&gwis));
1373: PetscCall(MatCreate(comm, &pcbddc->nedcG));
1374: PetscCall(MatSetSizes(pcbddc->nedcG, PETSC_DECIDE, PETSC_DECIDE, cne, cnv));
1375: PetscCall(MatSetType(pcbddc->nedcG, MATAIJ));
1376: PetscCall(MatSeqAIJSetPreallocation(pcbddc->nedcG, 2, NULL));
1377: PetscCall(MatMPIAIJSetPreallocation(pcbddc->nedcG, 2, NULL, 2, NULL));
1378: PetscCall(MatSetLocalToGlobalMapping(pcbddc->nedcG, cel2g, cvl2g));
1379: PetscCall(ISLocalToGlobalMappingDestroy(&cel2g));
1380: PetscCall(ISLocalToGlobalMappingDestroy(&cvl2g));
1381: }
1382: PetscCall(ISLocalToGlobalMappingDestroy(&vl2g));
1384: #if defined(PRINT_GDET)
1385: inc = 0;
1386: lev = pcbddc->current_level;
1387: #endif
1389: /* Insert values in the change of basis matrix */
1390: for (i = 0; i < nee; i++) {
1391: Mat Gins = NULL, GKins = NULL;
1392: IS cornersis = NULL;
1393: PetscScalar cvals[2];
1395: if (pcbddc->nedcG) PetscCall(ISCreateGeneral(PETSC_COMM_SELF, 2, corners + 2 * i, PETSC_USE_POINTER, &cornersis));
1396: PetscCall(PCBDDCComputeNedelecChangeEdge(lG, eedges[i], extrows[i], extcols[i], cornersis, &Gins, &GKins, cvals, work, rwork));
1397: if (Gins && GKins) {
1398: const PetscScalar *data;
1399: const PetscInt *rows, *cols;
1400: PetscInt nrh, nch, nrc, ncc;
1402: PetscCall(ISGetIndices(eedges[i], &cols));
1403: /* H1 */
1404: PetscCall(ISGetIndices(extrows[i], &rows));
1405: PetscCall(MatGetSize(Gins, &nrh, &nch));
1406: PetscCall(MatDenseGetArrayRead(Gins, &data));
1407: PetscCall(MatSetValuesLocal(T, nrh, rows, nch, cols, data, INSERT_VALUES));
1408: PetscCall(MatDenseRestoreArrayRead(Gins, &data));
1409: PetscCall(ISRestoreIndices(extrows[i], &rows));
1410: /* complement */
1411: PetscCall(MatGetSize(GKins, &nrc, &ncc));
1412: PetscCheck(ncc, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Constant function has not been generated for coarse edge %" PetscInt_FMT, i);
1413: PetscCheck(ncc + nch == nrc, PETSC_COMM_SELF, PETSC_ERR_PLIB, "The sum of the number of columns of GKins %" PetscInt_FMT " and Gins %" PetscInt_FMT " does not match %" PetscInt_FMT " for coarse edge %" PetscInt_FMT, ncc, nch, nrc, i);
1414: PetscCheck(ncc == 1 || !pcbddc->nedcG, PETSC_COMM_SELF, PETSC_ERR_SUP, "Cannot generate the coarse discrete gradient for coarse edge %" PetscInt_FMT " with ncc %" PetscInt_FMT, i, ncc);
1415: PetscCall(MatDenseGetArrayRead(GKins, &data));
1416: PetscCall(MatSetValuesLocal(T, nrc, cols, ncc, cols + nch, data, INSERT_VALUES));
1417: PetscCall(MatDenseRestoreArrayRead(GKins, &data));
1419: /* coarse discrete gradient */
1420: if (pcbddc->nedcG) {
1421: PetscInt cols[2];
1423: cols[0] = 2 * i;
1424: cols[1] = 2 * i + 1;
1425: PetscCall(MatSetValuesLocal(pcbddc->nedcG, 1, &i, 2, cols, cvals, INSERT_VALUES));
1426: }
1427: PetscCall(ISRestoreIndices(eedges[i], &cols));
1428: }
1429: PetscCall(ISDestroy(&extrows[i]));
1430: PetscCall(ISDestroy(&extcols[i]));
1431: PetscCall(ISDestroy(&cornersis));
1432: PetscCall(MatDestroy(&Gins));
1433: PetscCall(MatDestroy(&GKins));
1434: }
1436: /* for FDM element-by-element: first dof on the edge only constraint. Why? */
1437: if (elements_corners && pcbddc->mat_graph->multi_element) {
1438: ISLocalToGlobalMapping map;
1439: MatNullSpace nnsp;
1440: Vec quad_vec;
1442: PetscCall(MatCreateVecs(pc->pmat, &quad_vec, NULL));
1443: PetscCall(PCBDDCNullSpaceCreate(PetscObjectComm((PetscObject)pc), PETSC_FALSE, 1, &quad_vec, &nnsp));
1444: PetscCall(VecLockReadPop(quad_vec));
1445: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &map, NULL));
1446: PetscCall(VecSetLocalToGlobalMapping(quad_vec, map));
1447: for (i = 0; i < nee; i++) {
1448: const PetscInt *idxs;
1449: PetscScalar one = 1.0;
1451: PetscCall(ISGetLocalSize(alleedges[i], &cum));
1452: if (!cum) continue;
1453: PetscCall(ISGetIndices(alleedges[i], &idxs));
1454: PetscCall(VecSetValuesLocal(quad_vec, 1, idxs, &one, INSERT_VALUES));
1455: PetscCall(ISRestoreIndices(alleedges[i], &idxs));
1456: }
1457: PetscCall(VecLockReadPush(quad_vec));
1458: PetscCall(VecDestroy(&quad_vec));
1459: PetscCall(MatSetNearNullSpace(pc->pmat, nnsp));
1460: PetscCall(MatNullSpaceDestroy(&nnsp));
1461: }
1462: PetscCall(ISLocalToGlobalMappingDestroy(&el2g));
1464: /* Start assembling */
1465: PetscCall(MatAssemblyBegin(T, MAT_FINAL_ASSEMBLY));
1466: if (pcbddc->nedcG) PetscCall(MatAssemblyBegin(pcbddc->nedcG, MAT_FINAL_ASSEMBLY));
1468: /* Free */
1469: if (fl2g) {
1470: PetscCall(ISDestroy(&primals));
1471: for (i = 0; i < nee; i++) PetscCall(ISDestroy(&eedges[i]));
1472: PetscCall(PetscFree(eedges));
1473: }
1475: /* hack mat_graph with primal dofs on the coarse edges */
1476: {
1477: PCBDDCGraph graph = pcbddc->mat_graph;
1478: PetscInt *oqueue = graph->queue;
1479: PetscInt *ocptr = graph->cptr;
1480: PetscInt ncc, *idxs;
1482: /* find first primal edge */
1483: if (pcbddc->nedclocal) {
1484: PetscCall(ISGetIndices(pcbddc->nedclocal, (const PetscInt **)&idxs));
1485: } else {
1486: if (fl2g) PetscCall(ISLocalToGlobalMappingApply(fl2g, nee, cedges, cedges));
1487: idxs = cedges;
1488: }
1489: cum = 0;
1490: while (cum < nee && cedges[cum] < 0) cum++;
1492: /* adapt connected components */
1493: PetscCall(PetscMalloc2(graph->nvtxs + 1, &graph->cptr, ocptr[graph->ncc], &graph->queue));
1494: graph->cptr[0] = 0;
1495: for (i = 0, ncc = 0; i < graph->ncc; i++) {
1496: PetscInt lc = ocptr[i + 1] - ocptr[i];
1497: if (cum != nee && oqueue[ocptr[i + 1] - 1] == cedges[cum]) { /* this cc has a primal dof */
1498: graph->cptr[ncc + 1] = graph->cptr[ncc] + 1;
1499: graph->queue[graph->cptr[ncc]] = cedges[cum];
1500: ncc++;
1501: lc--;
1502: cum++;
1503: while (cum < nee && cedges[cum] < 0) cum++;
1504: }
1505: graph->cptr[ncc + 1] = graph->cptr[ncc] + lc;
1506: for (j = 0; j < lc; j++) graph->queue[graph->cptr[ncc] + j] = oqueue[ocptr[i] + j];
1507: ncc++;
1508: }
1509: graph->ncc = ncc;
1510: if (pcbddc->nedclocal) PetscCall(ISRestoreIndices(pcbddc->nedclocal, (const PetscInt **)&idxs));
1511: PetscCall(PetscFree2(ocptr, oqueue));
1512: }
1513: PetscCall(ISLocalToGlobalMappingDestroy(&fl2g));
1514: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, &nee, &alleedges, &allprimals));
1515: PetscCall(PCBDDCGraphResetCSR(pcbddc->mat_graph));
1517: PetscCall(ISDestroy(&nedfieldlocal));
1518: PetscCall(PetscFree(extrow));
1519: PetscCall(PetscFree2(work, rwork));
1520: PetscCall(PetscFree(corners));
1521: PetscCall(PetscFree(cedges));
1522: PetscCall(PetscFree(extrows));
1523: PetscCall(PetscFree(extcols));
1524: PetscCall(MatDestroy(&lG));
1526: /* Complete assembling */
1527: PetscCall(MatAssemblyEnd(T, MAT_FINAL_ASSEMBLY));
1528: PetscCall(MatViewFromOptions(T, (PetscObject)pc, "-pc_bddc_nedelec_change_view"));
1529: if (pcbddc->nedcG) {
1530: PetscCall(MatAssemblyEnd(pcbddc->nedcG, MAT_FINAL_ASSEMBLY));
1531: PetscCall(MatViewFromOptions(pcbddc->nedcG, (PetscObject)pc, "-pc_bddc_nedelec_coarse_change_view"));
1532: }
1534: PetscCall(ISDestroy(&elements_corners));
1536: /* set change of basis */
1537: PetscCall(PCBDDCSetChangeOfBasisMat(pc, T, PETSC_FALSE));
1538: PetscCall(MatDestroy(&T));
1539: PetscFunctionReturn(PETSC_SUCCESS);
1540: }
1542: /* the near-null space of BDDC carries information on quadrature weights,
1543: and these can be collinear -> so cheat with MatNullSpaceCreate
1544: and create a suitable set of basis vectors first */
1545: PetscErrorCode PCBDDCNullSpaceCreate(MPI_Comm comm, PetscBool has_const, PetscInt nvecs, Vec quad_vecs[], MatNullSpace *nnsp)
1546: {
1547: PetscInt i;
1549: PetscFunctionBegin;
1550: for (i = 0; i < nvecs; i++) {
1551: PetscInt first, last;
1553: PetscCall(VecGetOwnershipRange(quad_vecs[i], &first, &last));
1554: PetscCheck(last - first >= 2 * nvecs || !has_const, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not implemented");
1555: if (i >= first && i < last) {
1556: PetscScalar *data;
1557: PetscCall(VecGetArray(quad_vecs[i], &data));
1558: if (!has_const) {
1559: data[i - first] = 1.;
1560: } else {
1561: data[2 * i - first] = 1. / PetscSqrtReal(2.);
1562: data[2 * i - first + 1] = -1. / PetscSqrtReal(2.);
1563: }
1564: PetscCall(VecRestoreArray(quad_vecs[i], &data));
1565: }
1566: PetscCall(PetscObjectStateIncrease((PetscObject)quad_vecs[i]));
1567: }
1568: PetscCall(MatNullSpaceCreate(comm, has_const, nvecs, quad_vecs, nnsp));
1569: for (i = 0; i < nvecs; i++) { /* reset vectors */
1570: PetscInt first, last;
1571: PetscCall(VecLockReadPop(quad_vecs[i]));
1572: PetscCall(VecGetOwnershipRange(quad_vecs[i], &first, &last));
1573: if (i >= first && i < last) {
1574: PetscScalar *data;
1575: PetscCall(VecGetArray(quad_vecs[i], &data));
1576: if (!has_const) {
1577: data[i - first] = 0.;
1578: } else {
1579: data[2 * i - first] = 0.;
1580: data[2 * i - first + 1] = 0.;
1581: }
1582: PetscCall(VecRestoreArray(quad_vecs[i], &data));
1583: }
1584: PetscCall(PetscObjectStateIncrease((PetscObject)quad_vecs[i]));
1585: PetscCall(VecLockReadPush(quad_vecs[i]));
1586: }
1587: PetscFunctionReturn(PETSC_SUCCESS);
1588: }
1590: PetscErrorCode PCBDDCComputeNoNetFlux(Mat A, Mat divudotp, PetscBool transpose, IS vl2l, PCBDDCGraph graph, MatNullSpace *nnsp)
1591: {
1592: Mat loc_divudotp;
1593: Vec p, v, quad_vec;
1594: ISLocalToGlobalMapping map;
1595: PetscScalar *array;
1597: PetscFunctionBegin;
1598: PetscCall(MatCreateVecs(A, &quad_vec, NULL));
1599: if (!transpose) {
1600: PetscCall(MatISGetLocalToGlobalMapping(A, &map, NULL));
1601: } else {
1602: PetscCall(MatISGetLocalToGlobalMapping(A, NULL, &map));
1603: }
1604: PetscCall(PCBDDCNullSpaceCreate(PetscObjectComm((PetscObject)A), PETSC_FALSE, 1, &quad_vec, nnsp));
1605: PetscCall(VecLockReadPop(quad_vec));
1606: PetscCall(VecSetLocalToGlobalMapping(quad_vec, map));
1608: /* compute local quad vec */
1609: PetscCall(MatISGetLocalMat(divudotp, &loc_divudotp));
1610: if (!transpose) {
1611: PetscCall(MatCreateVecs(loc_divudotp, &v, &p));
1612: } else {
1613: PetscCall(MatCreateVecs(loc_divudotp, &p, &v));
1614: }
1615: /* the assumption here is that the constant vector interpolates the constant on the L2 conforming space */
1616: PetscCall(VecSet(p, 1.));
1617: if (!transpose) {
1618: PetscCall(MatMultTranspose(loc_divudotp, p, v));
1619: } else {
1620: PetscCall(MatMult(loc_divudotp, p, v));
1621: }
1622: PetscCall(VecDestroy(&p));
1623: if (vl2l) {
1624: Mat lA;
1625: VecScatter sc;
1626: Vec vins;
1628: PetscCall(MatISGetLocalMat(A, &lA));
1629: PetscCall(MatCreateVecs(lA, &vins, NULL));
1630: PetscCall(VecScatterCreate(v, NULL, vins, vl2l, &sc));
1631: PetscCall(VecScatterBegin(sc, v, vins, INSERT_VALUES, SCATTER_FORWARD));
1632: PetscCall(VecScatterEnd(sc, v, vins, INSERT_VALUES, SCATTER_FORWARD));
1633: PetscCall(VecScatterDestroy(&sc));
1634: PetscCall(VecDestroy(&v));
1635: v = vins;
1636: }
1638: /* mask summation of interface values */
1639: PetscInt n, *mmask, *mask, *idxs, nmr, nr;
1640: const PetscInt *degree;
1641: PetscSF msf;
1643: PetscCall(VecGetLocalSize(v, &n));
1644: PetscCall(PetscSFGetGraph(graph->interface_subset_sf, &nr, NULL, NULL, NULL));
1645: PetscCall(PetscSFGetMultiSF(graph->interface_subset_sf, &msf));
1646: PetscCall(PetscSFGetGraph(msf, &nmr, NULL, NULL, NULL));
1647: PetscCall(PetscCalloc3(nmr, &mmask, n, &mask, n, &idxs));
1648: PetscCall(PetscSFComputeDegreeBegin(graph->interface_subset_sf, °ree));
1649: PetscCall(PetscSFComputeDegreeEnd(graph->interface_subset_sf, °ree));
1650: for (PetscInt i = 0, c = 0; i < nr; i++) {
1651: mmask[c] = 1;
1652: c += degree[i];
1653: }
1654: PetscCall(PetscSFScatterBegin(graph->interface_subset_sf, MPIU_INT, mmask, mask));
1655: PetscCall(PetscSFScatterEnd(graph->interface_subset_sf, MPIU_INT, mmask, mask));
1656: PetscCall(VecGetArray(v, &array));
1657: for (PetscInt i = 0; i < n; i++) {
1658: array[i] *= mask[i];
1659: idxs[i] = i;
1660: }
1661: PetscCall(VecSetValuesLocal(quad_vec, n, idxs, array, ADD_VALUES));
1662: PetscCall(VecRestoreArray(v, &array));
1663: PetscCall(PetscFree3(mmask, mask, idxs));
1664: PetscCall(VecDestroy(&v));
1665: PetscCall(VecAssemblyBegin(quad_vec));
1666: PetscCall(VecAssemblyEnd(quad_vec));
1667: PetscCall(VecViewFromOptions(quad_vec, NULL, "-pc_bddc_quad_vec_view"));
1668: PetscCall(VecLockReadPush(quad_vec));
1669: PetscCall(VecDestroy(&quad_vec));
1670: PetscFunctionReturn(PETSC_SUCCESS);
1671: }
1673: PetscErrorCode PCBDDCAddPrimalVerticesLocalIS(PC pc, IS primalv)
1674: {
1675: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
1677: PetscFunctionBegin;
1678: if (primalv) {
1679: if (pcbddc->user_primal_vertices_local) {
1680: IS list[2], newp;
1682: list[0] = primalv;
1683: list[1] = pcbddc->user_primal_vertices_local;
1684: PetscCall(ISConcatenate(PetscObjectComm((PetscObject)pc), 2, list, &newp));
1685: PetscCall(ISSortRemoveDups(newp));
1686: PetscCall(ISDestroy(&list[1]));
1687: pcbddc->user_primal_vertices_local = newp;
1688: } else {
1689: PetscCall(PCBDDCSetPrimalVerticesLocalIS(pc, primalv));
1690: }
1691: }
1692: PetscFunctionReturn(PETSC_SUCCESS);
1693: }
1695: static PetscErrorCode func_coords_private(PetscInt dim, PetscReal t, const PetscReal X[], PetscInt Nf, PetscScalar *out, void *ctx)
1696: {
1697: PetscInt f, *comp = (PetscInt *)ctx;
1699: PetscFunctionBegin;
1700: for (f = 0; f < Nf; f++) out[f] = X[*comp];
1701: PetscFunctionReturn(PETSC_SUCCESS);
1702: }
1704: PetscErrorCode PCBDDCComputeLocalTopologyInfo(PC pc)
1705: {
1706: Vec local, global;
1707: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
1708: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
1709: PetscBool monolithic = PETSC_FALSE;
1711: PetscFunctionBegin;
1712: PetscOptionsBegin(PetscObjectComm((PetscObject)pc), ((PetscObject)pc)->prefix, "BDDC topology options", "PC");
1713: PetscCall(PetscOptionsBool("-pc_bddc_monolithic", "Discard any information on dofs splitting", NULL, monolithic, &monolithic, NULL));
1714: PetscOptionsEnd();
1715: /* need to convert from global to local topology information and remove references to information in global ordering */
1716: PetscCall(MatCreateVecs(pc->pmat, &global, NULL));
1717: PetscCall(MatCreateVecs(matis->A, &local, NULL));
1718: PetscCall(VecBindToCPU(global, PETSC_TRUE));
1719: PetscCall(VecBindToCPU(local, PETSC_TRUE));
1720: if (monolithic) { /* just get block size to properly compute vertices */
1721: if (pcbddc->vertex_size == 1) PetscCall(MatGetBlockSize(pc->pmat, &pcbddc->vertex_size));
1722: goto boundary;
1723: }
1725: if (pcbddc->user_provided_isfordofs) {
1726: if (pcbddc->n_ISForDofs) {
1727: PetscInt i;
1729: PetscCall(PetscMalloc1(pcbddc->n_ISForDofs, &pcbddc->ISForDofsLocal));
1730: for (i = 0; i < pcbddc->n_ISForDofs; i++) {
1731: PetscInt bs;
1733: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, pcbddc->ISForDofs[i], &pcbddc->ISForDofsLocal[i]));
1734: PetscCall(ISGetBlockSize(pcbddc->ISForDofs[i], &bs));
1735: PetscCall(ISSetBlockSize(pcbddc->ISForDofsLocal[i], bs));
1736: PetscCall(ISDestroy(&pcbddc->ISForDofs[i]));
1737: }
1738: pcbddc->n_ISForDofsLocal = pcbddc->n_ISForDofs;
1739: pcbddc->n_ISForDofs = 0;
1740: PetscCall(PetscFree(pcbddc->ISForDofs));
1741: }
1742: } else {
1743: if (!pcbddc->n_ISForDofsLocal) { /* field split not present */
1744: DM dm;
1746: PetscCall(MatGetDM(pc->pmat, &dm));
1747: if (!dm) PetscCall(PCGetDM(pc, &dm));
1748: if (dm) {
1749: IS *fields;
1750: PetscInt nf, i;
1752: PetscCall(DMCreateFieldDecomposition(dm, &nf, NULL, &fields, NULL));
1753: PetscCall(PetscMalloc1(nf, &pcbddc->ISForDofsLocal));
1754: for (i = 0; i < nf; i++) {
1755: PetscInt bs;
1757: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, fields[i], &pcbddc->ISForDofsLocal[i]));
1758: PetscCall(ISGetBlockSize(fields[i], &bs));
1759: PetscCall(ISSetBlockSize(pcbddc->ISForDofsLocal[i], bs));
1760: PetscCall(ISDestroy(&fields[i]));
1761: }
1762: PetscCall(PetscFree(fields));
1763: pcbddc->n_ISForDofsLocal = nf;
1764: } else { /* See if MATIS has fields attached by the conversion from MatNest */
1765: PetscContainer c;
1767: PetscCall(PetscObjectQuery((PetscObject)pc->pmat, "_convert_nest_lfields", (PetscObject *)&c));
1768: if (c) {
1769: MatISLocalFields lf;
1770: PetscCall(PetscContainerGetPointer(c, (void **)&lf));
1771: PetscCall(PCBDDCSetDofsSplittingLocal(pc, lf->nr, lf->rf));
1772: } else { /* fallback, create the default fields if bs > 1 */
1773: PetscInt i, n = matis->A->rmap->n;
1774: PetscCall(MatGetBlockSize(pc->pmat, &i));
1775: if (i > 1) {
1776: pcbddc->n_ISForDofsLocal = i;
1777: PetscCall(PetscMalloc1(pcbddc->n_ISForDofsLocal, &pcbddc->ISForDofsLocal));
1778: for (i = 0; i < pcbddc->n_ISForDofsLocal; i++) PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), n / pcbddc->n_ISForDofsLocal, i, pcbddc->n_ISForDofsLocal, &pcbddc->ISForDofsLocal[i]));
1779: }
1780: }
1781: }
1782: } else {
1783: PetscInt i;
1784: for (i = 0; i < pcbddc->n_ISForDofsLocal; i++) PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LAND, &pcbddc->ISForDofsLocal[i]));
1785: }
1786: }
1788: boundary:
1789: if (!pcbddc->DirichletBoundariesLocal && pcbddc->DirichletBoundaries) {
1790: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, pcbddc->DirichletBoundaries, &pcbddc->DirichletBoundariesLocal));
1791: } else if (pcbddc->DirichletBoundariesLocal) {
1792: PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LAND, &pcbddc->DirichletBoundariesLocal));
1793: }
1794: if (!pcbddc->NeumannBoundariesLocal && pcbddc->NeumannBoundaries) {
1795: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, pcbddc->NeumannBoundaries, &pcbddc->NeumannBoundariesLocal));
1796: } else if (pcbddc->NeumannBoundariesLocal) {
1797: PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LOR, &pcbddc->NeumannBoundariesLocal));
1798: }
1799: if (!pcbddc->user_primal_vertices_local && pcbddc->user_primal_vertices) PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, pcbddc->user_primal_vertices, &pcbddc->user_primal_vertices_local));
1800: PetscCall(VecDestroy(&global));
1801: PetscCall(VecDestroy(&local));
1802: /* detect local disconnected subdomains if requested or needed */
1803: if (pcbddc->detect_disconnected || matis->allow_repeated) {
1804: IS primalv = NULL;
1805: PetscInt nel;
1806: PetscBool filter = pcbddc->detect_disconnected_filter;
1808: for (PetscInt i = 0; i < pcbddc->n_local_subs; i++) PetscCall(ISDestroy(&pcbddc->local_subs[i]));
1809: PetscCall(PetscFree(pcbddc->local_subs));
1810: PetscCall(MatGetVariableBlockSizes(matis->A, &nel, NULL));
1811: if (matis->allow_repeated && nel) {
1812: const PetscInt *elsizes;
1814: pcbddc->n_local_subs = nel;
1815: PetscCall(MatGetVariableBlockSizes(matis->A, NULL, &elsizes));
1816: PetscCall(PetscMalloc1(nel, &pcbddc->local_subs));
1817: for (PetscInt i = 0, c = 0; i < nel; i++) {
1818: PetscCall(ISCreateStride(PETSC_COMM_SELF, elsizes[i], c, 1, &pcbddc->local_subs[i]));
1819: c += elsizes[i];
1820: }
1821: } else {
1822: PetscCall(PCBDDCDetectDisconnectedComponents(pc, filter, &pcbddc->n_local_subs, &pcbddc->local_subs, &primalv));
1823: }
1824: PetscCall(PCBDDCAddPrimalVerticesLocalIS(pc, primalv));
1825: PetscCall(ISDestroy(&primalv));
1826: }
1827: /* early stage corner detection */
1828: {
1829: DM dm;
1831: PetscCall(MatGetDM(pc->pmat, &dm));
1832: if (!dm) PetscCall(PCGetDM(pc, &dm));
1833: if (dm) {
1834: PetscBool isda;
1836: PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMDA, &isda));
1837: if (isda) {
1838: ISLocalToGlobalMapping l2l;
1839: IS corners;
1840: Mat lA;
1841: PetscBool gl, lo;
1843: {
1844: Vec cvec;
1845: const PetscScalar *coords;
1846: PetscInt dof, n, cdim;
1847: PetscBool memc = PETSC_TRUE;
1849: PetscCall(DMDAGetInfo(dm, NULL, NULL, NULL, NULL, NULL, NULL, NULL, &dof, NULL, NULL, NULL, NULL, NULL));
1850: PetscCall(DMGetCoordinates(dm, &cvec));
1851: PetscCall(VecGetLocalSize(cvec, &n));
1852: PetscCall(VecGetBlockSize(cvec, &cdim));
1853: n /= cdim;
1854: PetscCall(PetscFree(pcbddc->mat_graph->coords));
1855: PetscCall(PetscMalloc1(dof * n * cdim, &pcbddc->mat_graph->coords));
1856: PetscCall(VecGetArrayRead(cvec, &coords));
1857: #if defined(PETSC_USE_COMPLEX)
1858: memc = PETSC_FALSE;
1859: #endif
1860: if (dof != 1) memc = PETSC_FALSE;
1861: if (memc) {
1862: PetscCall(PetscArraycpy(pcbddc->mat_graph->coords, coords, cdim * n * dof));
1863: } else { /* BDDC graph does not use any blocked information, we need to replicate the data */
1864: PetscReal *bcoords = pcbddc->mat_graph->coords;
1865: PetscInt i, b, d;
1867: for (i = 0; i < n; i++) {
1868: for (b = 0; b < dof; b++) {
1869: for (d = 0; d < cdim; d++) bcoords[i * dof * cdim + b * cdim + d] = PetscRealPart(coords[i * cdim + d]);
1870: }
1871: }
1872: }
1873: PetscCall(VecRestoreArrayRead(cvec, &coords));
1874: pcbddc->mat_graph->cdim = cdim;
1875: pcbddc->mat_graph->cnloc = dof * n;
1876: pcbddc->mat_graph->cloc = PETSC_FALSE;
1877: }
1878: PetscCall(DMDAGetSubdomainCornersIS(dm, &corners));
1879: PetscCall(MatISGetLocalMat(pc->pmat, &lA));
1880: PetscCall(MatGetLocalToGlobalMapping(lA, &l2l, NULL));
1881: PetscCall(MatISRestoreLocalMat(pc->pmat, &lA));
1882: lo = (PetscBool)(l2l && corners);
1883: PetscCallMPI(MPIU_Allreduce(&lo, &gl, 1, MPIU_BOOL, MPI_LAND, PetscObjectComm((PetscObject)pc)));
1884: if (gl) { /* From PETSc's DMDA */
1885: const PetscInt *idx;
1886: PetscInt dof, bs, *idxout, n;
1888: PetscCall(DMDAGetInfo(dm, NULL, NULL, NULL, NULL, NULL, NULL, NULL, &dof, NULL, NULL, NULL, NULL, NULL));
1889: PetscCall(ISLocalToGlobalMappingGetBlockSize(l2l, &bs));
1890: PetscCall(ISGetLocalSize(corners, &n));
1891: PetscCall(ISGetIndices(corners, &idx));
1892: if (bs == dof) {
1893: PetscCall(PetscMalloc1(n, &idxout));
1894: PetscCall(ISLocalToGlobalMappingApplyBlock(l2l, n, idx, idxout));
1895: } else { /* the original DMDA local-to-local map have been modified */
1896: PetscInt i, d;
1898: PetscCall(PetscMalloc1(dof * n, &idxout));
1899: for (i = 0; i < n; i++)
1900: for (d = 0; d < dof; d++) idxout[dof * i + d] = dof * idx[i] + d;
1901: PetscCall(ISLocalToGlobalMappingApply(l2l, dof * n, idxout, idxout));
1903: bs = 1;
1904: n *= dof;
1905: }
1906: PetscCall(ISRestoreIndices(corners, &idx));
1907: PetscCall(DMDARestoreSubdomainCornersIS(dm, &corners));
1908: PetscCall(ISCreateBlock(PetscObjectComm((PetscObject)pc), bs, n, idxout, PETSC_OWN_POINTER, &corners));
1909: PetscCall(PCBDDCAddPrimalVerticesLocalIS(pc, corners));
1910: PetscCall(ISDestroy(&corners));
1911: pcbddc->corner_selected = PETSC_TRUE;
1912: pcbddc->corner_selection = PETSC_TRUE;
1913: }
1914: if (corners) PetscCall(DMDARestoreSubdomainCornersIS(dm, &corners));
1915: }
1916: }
1917: }
1918: if (pcbddc->corner_selection && !pcbddc->mat_graph->cdim) {
1919: DM dm;
1921: PetscCall(MatGetDM(pc->pmat, &dm));
1922: if (!dm) PetscCall(PCGetDM(pc, &dm));
1923: if (dm) { /* this can get very expensive, I need to find a faster alternative */
1924: Vec vcoords;
1925: PetscSection section;
1926: PetscReal *coords;
1927: PetscInt d, cdim, nl, nf, **ctxs;
1928: PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal *, PetscInt, PetscScalar *, void *);
1929: /* debug coordinates */
1930: PetscViewer viewer;
1931: PetscBool flg;
1932: PetscViewerFormat format;
1933: const char *prefix;
1935: PetscCall(DMGetCoordinateDim(dm, &cdim));
1936: PetscCall(DMGetLocalSection(dm, §ion));
1937: PetscCall(PetscSectionGetNumFields(section, &nf));
1938: PetscCall(DMCreateGlobalVector(dm, &vcoords));
1939: PetscCall(VecGetLocalSize(vcoords, &nl));
1940: PetscCall(PetscMalloc1(nl * cdim, &coords));
1941: PetscCall(PetscMalloc2(nf, &funcs, nf, &ctxs));
1942: PetscCall(PetscMalloc1(nf, &ctxs[0]));
1943: for (d = 0; d < nf; d++) funcs[d] = func_coords_private;
1944: for (d = 1; d < nf; d++) ctxs[d] = ctxs[d - 1] + 1;
1946: /* debug coordinates */
1947: PetscCall(PCGetOptionsPrefix(pc, &prefix));
1948: PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)vcoords), ((PetscObject)vcoords)->options, prefix, "-pc_bddc_coords_vec_view", &viewer, &format, &flg));
1949: if (flg) PetscCall(PetscViewerPushFormat(viewer, format));
1950: for (d = 0; d < cdim; d++) {
1951: PetscInt i;
1952: const PetscScalar *v;
1953: char name[16];
1955: for (i = 0; i < nf; i++) ctxs[i][0] = d;
1956: PetscCall(PetscSNPrintf(name, sizeof(name), "bddc_coords_%" PetscInt_FMT, d));
1957: PetscCall(PetscObjectSetName((PetscObject)vcoords, name));
1958: PetscCall(DMProjectFunction(dm, 0.0, funcs, (void **)ctxs, INSERT_VALUES, vcoords));
1959: if (flg) PetscCall(VecView(vcoords, viewer));
1960: PetscCall(VecGetArrayRead(vcoords, &v));
1961: for (i = 0; i < nl; i++) coords[i * cdim + d] = PetscRealPart(v[i]);
1962: PetscCall(VecRestoreArrayRead(vcoords, &v));
1963: }
1964: PetscCall(VecDestroy(&vcoords));
1965: PetscCall(PCSetCoordinates(pc, cdim, nl, coords));
1966: PetscCall(PetscFree(coords));
1967: PetscCall(PetscFree(ctxs[0]));
1968: PetscCall(PetscFree2(funcs, ctxs));
1969: if (flg) {
1970: PetscCall(PetscViewerPopFormat(viewer));
1971: PetscCall(PetscViewerDestroy(&viewer));
1972: }
1973: }
1974: }
1975: PetscFunctionReturn(PETSC_SUCCESS);
1976: }
1978: PetscErrorCode PCBDDCConsistencyCheckIS(PC pc, MPI_Op mop, IS *is)
1979: {
1980: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
1981: IS nis;
1982: const PetscInt *idxs;
1983: PetscInt i, nd, n = matis->A->rmap->n, *nidxs, nnd;
1985: PetscFunctionBegin;
1986: PetscCheck(mop == MPI_LAND || mop == MPI_LOR, PetscObjectComm((PetscObject)pc), PETSC_ERR_SUP, "Supported are MPI_LAND and MPI_LOR");
1987: if (mop == MPI_LAND) {
1988: /* init rootdata with true */
1989: for (i = 0; i < pc->pmat->rmap->n; i++) matis->sf_rootdata[i] = 1;
1990: } else {
1991: PetscCall(PetscArrayzero(matis->sf_rootdata, pc->pmat->rmap->n));
1992: }
1993: PetscCall(PetscArrayzero(matis->sf_leafdata, n));
1994: PetscCall(ISGetLocalSize(*is, &nd));
1995: PetscCall(ISGetIndices(*is, &idxs));
1996: for (i = 0; i < nd; i++)
1997: if (-1 < idxs[i] && idxs[i] < n) matis->sf_leafdata[idxs[i]] = 1;
1998: PetscCall(ISRestoreIndices(*is, &idxs));
1999: PetscCall(PetscSFReduceBegin(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, mop));
2000: PetscCall(PetscSFReduceEnd(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, mop));
2001: PetscCall(PetscSFBcastBegin(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
2002: PetscCall(PetscSFBcastEnd(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
2003: if (mop == MPI_LAND) {
2004: PetscCall(PetscMalloc1(nd, &nidxs));
2005: } else {
2006: PetscCall(PetscMalloc1(n, &nidxs));
2007: }
2008: for (i = 0, nnd = 0; i < n; i++)
2009: if (matis->sf_leafdata[i]) nidxs[nnd++] = i;
2010: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)*is), nnd, nidxs, PETSC_OWN_POINTER, &nis));
2011: PetscCall(ISDestroy(is));
2012: *is = nis;
2013: PetscFunctionReturn(PETSC_SUCCESS);
2014: }
2016: PetscErrorCode PCBDDCBenignRemoveInterior(PC pc, Vec r, Vec z)
2017: {
2018: PC_IS *pcis = (PC_IS *)pc->data;
2019: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2021: PetscFunctionBegin;
2022: if (!pcbddc->benign_have_null) PetscFunctionReturn(PETSC_SUCCESS);
2023: if (pcbddc->ChangeOfBasisMatrix) {
2024: Vec swap;
2026: PetscCall(MatMultTranspose(pcbddc->ChangeOfBasisMatrix, r, pcbddc->work_change));
2027: swap = pcbddc->work_change;
2028: pcbddc->work_change = r;
2029: r = swap;
2030: }
2031: PetscCall(VecScatterBegin(pcis->global_to_D, r, pcis->vec1_D, INSERT_VALUES, SCATTER_FORWARD));
2032: PetscCall(VecScatterEnd(pcis->global_to_D, r, pcis->vec1_D, INSERT_VALUES, SCATTER_FORWARD));
2033: PetscCall(PetscLogEventBegin(PC_BDDC_Solves[pcbddc->current_level][0], pc, 0, 0, 0));
2034: PetscCall(KSPSolve(pcbddc->ksp_D, pcis->vec1_D, pcis->vec2_D));
2035: PetscCall(PetscLogEventEnd(PC_BDDC_Solves[pcbddc->current_level][0], pc, 0, 0, 0));
2036: PetscCall(KSPCheckSolve(pcbddc->ksp_D, pc, pcis->vec2_D));
2037: PetscCall(VecSet(z, 0.));
2038: PetscCall(VecScatterBegin(pcis->global_to_D, pcis->vec2_D, z, INSERT_VALUES, SCATTER_REVERSE));
2039: PetscCall(VecScatterEnd(pcis->global_to_D, pcis->vec2_D, z, INSERT_VALUES, SCATTER_REVERSE));
2040: if (pcbddc->ChangeOfBasisMatrix) {
2041: pcbddc->work_change = r;
2042: PetscCall(VecCopy(z, pcbddc->work_change));
2043: PetscCall(MatMult(pcbddc->ChangeOfBasisMatrix, pcbddc->work_change, z));
2044: }
2045: PetscFunctionReturn(PETSC_SUCCESS);
2046: }
2048: static PetscErrorCode PCBDDCBenignMatMult_Private_Private(Mat A, Vec x, Vec y, PetscBool transpose)
2049: {
2050: PCBDDCBenignMatMult_ctx ctx;
2051: PetscBool apply_right, apply_left, reset_x;
2053: PetscFunctionBegin;
2054: PetscCall(MatShellGetContext(A, &ctx));
2055: if (transpose) {
2056: apply_right = ctx->apply_left;
2057: apply_left = ctx->apply_right;
2058: } else {
2059: apply_right = ctx->apply_right;
2060: apply_left = ctx->apply_left;
2061: }
2062: reset_x = PETSC_FALSE;
2063: if (apply_right) {
2064: const PetscScalar *ax;
2065: PetscInt nl, i;
2067: PetscCall(VecGetLocalSize(x, &nl));
2068: PetscCall(VecGetArrayRead(x, &ax));
2069: PetscCall(PetscArraycpy(ctx->work, ax, nl));
2070: PetscCall(VecRestoreArrayRead(x, &ax));
2071: for (i = 0; i < ctx->benign_n; i++) {
2072: PetscScalar sum, val;
2073: const PetscInt *idxs;
2074: PetscInt nz, j;
2075: PetscCall(ISGetLocalSize(ctx->benign_zerodiag_subs[i], &nz));
2076: PetscCall(ISGetIndices(ctx->benign_zerodiag_subs[i], &idxs));
2077: sum = 0.;
2078: if (ctx->apply_p0) {
2079: val = ctx->work[idxs[nz - 1]];
2080: for (j = 0; j < nz - 1; j++) {
2081: sum += ctx->work[idxs[j]];
2082: ctx->work[idxs[j]] += val;
2083: }
2084: } else {
2085: for (j = 0; j < nz - 1; j++) sum += ctx->work[idxs[j]];
2086: }
2087: ctx->work[idxs[nz - 1]] -= sum;
2088: PetscCall(ISRestoreIndices(ctx->benign_zerodiag_subs[i], &idxs));
2089: }
2090: PetscCall(VecPlaceArray(x, ctx->work));
2091: reset_x = PETSC_TRUE;
2092: }
2093: if (transpose) {
2094: PetscCall(MatMultTranspose(ctx->A, x, y));
2095: } else {
2096: PetscCall(MatMult(ctx->A, x, y));
2097: }
2098: if (reset_x) PetscCall(VecResetArray(x));
2099: if (apply_left) {
2100: PetscScalar *ay;
2101: PetscInt i;
2103: PetscCall(VecGetArray(y, &ay));
2104: for (i = 0; i < ctx->benign_n; i++) {
2105: PetscScalar sum, val;
2106: const PetscInt *idxs;
2107: PetscInt nz, j;
2108: PetscCall(ISGetLocalSize(ctx->benign_zerodiag_subs[i], &nz));
2109: PetscCall(ISGetIndices(ctx->benign_zerodiag_subs[i], &idxs));
2110: val = -ay[idxs[nz - 1]];
2111: if (ctx->apply_p0) {
2112: sum = 0.;
2113: for (j = 0; j < nz - 1; j++) {
2114: sum += ay[idxs[j]];
2115: ay[idxs[j]] += val;
2116: }
2117: ay[idxs[nz - 1]] += sum;
2118: } else {
2119: for (j = 0; j < nz - 1; j++) ay[idxs[j]] += val;
2120: ay[idxs[nz - 1]] = 0.;
2121: }
2122: PetscCall(ISRestoreIndices(ctx->benign_zerodiag_subs[i], &idxs));
2123: }
2124: PetscCall(VecRestoreArray(y, &ay));
2125: }
2126: PetscFunctionReturn(PETSC_SUCCESS);
2127: }
2129: static PetscErrorCode PCBDDCBenignMatMultTranspose_Private(Mat A, Vec x, Vec y)
2130: {
2131: PetscFunctionBegin;
2132: PetscCall(PCBDDCBenignMatMult_Private_Private(A, x, y, PETSC_TRUE));
2133: PetscFunctionReturn(PETSC_SUCCESS);
2134: }
2136: static PetscErrorCode PCBDDCBenignMatMult_Private(Mat A, Vec x, Vec y)
2137: {
2138: PetscFunctionBegin;
2139: PetscCall(PCBDDCBenignMatMult_Private_Private(A, x, y, PETSC_FALSE));
2140: PetscFunctionReturn(PETSC_SUCCESS);
2141: }
2143: PetscErrorCode PCBDDCBenignShellMat(PC pc, PetscBool restore)
2144: {
2145: PC_IS *pcis = (PC_IS *)pc->data;
2146: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2147: PCBDDCBenignMatMult_ctx ctx;
2149: PetscFunctionBegin;
2150: if (!restore) {
2151: Mat A_IB, A_BI;
2152: PetscScalar *work;
2153: PCBDDCReuseSolvers reuse = pcbddc->sub_schurs ? pcbddc->sub_schurs->reuse_solver : NULL;
2155: PetscCheck(!pcbddc->benign_original_mat, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Benign original mat has not been restored");
2156: if (!pcbddc->benign_change || !pcbddc->benign_n || pcbddc->benign_change_explicit) PetscFunctionReturn(PETSC_SUCCESS);
2157: PetscCall(PetscMalloc1(pcis->n, &work));
2158: PetscCall(MatCreate(PETSC_COMM_SELF, &A_IB));
2159: PetscCall(MatSetSizes(A_IB, pcis->n - pcis->n_B, pcis->n_B, PETSC_DECIDE, PETSC_DECIDE));
2160: PetscCall(MatSetType(A_IB, MATSHELL));
2161: PetscCall(MatShellSetOperation(A_IB, MATOP_MULT, (void (*)(void))PCBDDCBenignMatMult_Private));
2162: PetscCall(MatShellSetOperation(A_IB, MATOP_MULT_TRANSPOSE, (void (*)(void))PCBDDCBenignMatMultTranspose_Private));
2163: PetscCall(PetscNew(&ctx));
2164: PetscCall(MatShellSetContext(A_IB, ctx));
2165: ctx->apply_left = PETSC_TRUE;
2166: ctx->apply_right = PETSC_FALSE;
2167: ctx->apply_p0 = PETSC_FALSE;
2168: ctx->benign_n = pcbddc->benign_n;
2169: if (reuse) {
2170: ctx->benign_zerodiag_subs = reuse->benign_zerodiag_subs;
2171: ctx->free = PETSC_FALSE;
2172: } else { /* TODO: could be optimized for successive solves */
2173: ISLocalToGlobalMapping N_to_D;
2174: PetscInt i;
2176: PetscCall(ISLocalToGlobalMappingCreateIS(pcis->is_I_local, &N_to_D));
2177: PetscCall(PetscMalloc1(pcbddc->benign_n, &ctx->benign_zerodiag_subs));
2178: for (i = 0; i < pcbddc->benign_n; i++) PetscCall(ISGlobalToLocalMappingApplyIS(N_to_D, IS_GTOLM_DROP, pcbddc->benign_zerodiag_subs[i], &ctx->benign_zerodiag_subs[i]));
2179: PetscCall(ISLocalToGlobalMappingDestroy(&N_to_D));
2180: ctx->free = PETSC_TRUE;
2181: }
2182: ctx->A = pcis->A_IB;
2183: ctx->work = work;
2184: PetscCall(MatSetUp(A_IB));
2185: PetscCall(MatAssemblyBegin(A_IB, MAT_FINAL_ASSEMBLY));
2186: PetscCall(MatAssemblyEnd(A_IB, MAT_FINAL_ASSEMBLY));
2187: pcis->A_IB = A_IB;
2189: /* A_BI as A_IB^T */
2190: PetscCall(MatCreateTranspose(A_IB, &A_BI));
2191: pcbddc->benign_original_mat = pcis->A_BI;
2192: pcis->A_BI = A_BI;
2193: } else {
2194: if (!pcbddc->benign_original_mat) PetscFunctionReturn(PETSC_SUCCESS);
2195: PetscCall(MatShellGetContext(pcis->A_IB, &ctx));
2196: PetscCall(MatDestroy(&pcis->A_IB));
2197: pcis->A_IB = ctx->A;
2198: ctx->A = NULL;
2199: PetscCall(MatDestroy(&pcis->A_BI));
2200: pcis->A_BI = pcbddc->benign_original_mat;
2201: pcbddc->benign_original_mat = NULL;
2202: if (ctx->free) {
2203: PetscInt i;
2204: for (i = 0; i < ctx->benign_n; i++) PetscCall(ISDestroy(&ctx->benign_zerodiag_subs[i]));
2205: PetscCall(PetscFree(ctx->benign_zerodiag_subs));
2206: }
2207: PetscCall(PetscFree(ctx->work));
2208: PetscCall(PetscFree(ctx));
2209: }
2210: PetscFunctionReturn(PETSC_SUCCESS);
2211: }
2213: /* used just in bddc debug mode */
2214: static PetscErrorCode PCBDDCBenignProject(PC pc, IS is1, IS is2, Mat *B)
2215: {
2216: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2217: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
2218: Mat An;
2220: PetscFunctionBegin;
2221: PetscCall(MatPtAP(matis->A, pcbddc->benign_change, MAT_INITIAL_MATRIX, 2.0, &An));
2222: PetscCall(MatZeroRowsColumns(An, pcbddc->benign_n, pcbddc->benign_p0_lidx, 1.0, NULL, NULL));
2223: if (is1) {
2224: PetscCall(MatCreateSubMatrix(An, is1, is2, MAT_INITIAL_MATRIX, B));
2225: PetscCall(MatDestroy(&An));
2226: } else {
2227: *B = An;
2228: }
2229: PetscFunctionReturn(PETSC_SUCCESS);
2230: }
2232: /* TODO: add reuse flag */
2233: PetscErrorCode MatSeqAIJCompress(Mat A, Mat *B)
2234: {
2235: Mat Bt;
2236: PetscScalar *a, *bdata;
2237: const PetscInt *ii, *ij;
2238: PetscInt m, n, i, nnz, *bii, *bij;
2239: PetscBool flg_row;
2241: PetscFunctionBegin;
2242: PetscCall(MatGetSize(A, &n, &m));
2243: PetscCall(MatGetRowIJ(A, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &ij, &flg_row));
2244: PetscCall(MatSeqAIJGetArray(A, &a));
2245: nnz = n;
2246: for (i = 0; i < ii[n]; i++) {
2247: if (PetscLikely(PetscAbsScalar(a[i]) > PETSC_SMALL)) nnz++;
2248: }
2249: PetscCall(PetscMalloc1(n + 1, &bii));
2250: PetscCall(PetscMalloc1(nnz, &bij));
2251: PetscCall(PetscMalloc1(nnz, &bdata));
2252: nnz = 0;
2253: bii[0] = 0;
2254: for (i = 0; i < n; i++) {
2255: PetscInt j;
2256: for (j = ii[i]; j < ii[i + 1]; j++) {
2257: PetscScalar entry = a[j];
2258: if (PetscLikely(PetscAbsScalar(entry) > PETSC_SMALL) || (n == m && ij[j] == i)) {
2259: bij[nnz] = ij[j];
2260: bdata[nnz] = entry;
2261: nnz++;
2262: }
2263: }
2264: bii[i + 1] = nnz;
2265: }
2266: PetscCall(MatSeqAIJRestoreArray(A, &a));
2267: PetscCall(MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A), n, m, bii, bij, bdata, &Bt));
2268: PetscCall(MatRestoreRowIJ(A, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &ij, &flg_row));
2269: {
2270: Mat_SeqAIJ *b = (Mat_SeqAIJ *)Bt->data;
2271: b->free_a = PETSC_TRUE;
2272: b->free_ij = PETSC_TRUE;
2273: }
2274: if (*B == A) PetscCall(MatDestroy(&A));
2275: *B = Bt;
2276: PetscFunctionReturn(PETSC_SUCCESS);
2277: }
2279: PetscErrorCode PCBDDCDetectDisconnectedComponents(PC pc, PetscBool filter, PetscInt *ncc, IS *cc[], IS *primalv)
2280: {
2281: Mat B = NULL;
2282: DM dm;
2283: IS is_dummy, *cc_n;
2284: ISLocalToGlobalMapping l2gmap_dummy;
2285: PCBDDCGraph graph;
2286: PetscInt *xadj_filtered = NULL, *adjncy_filtered = NULL;
2287: PetscInt i, n;
2288: PetscInt *xadj, *adjncy;
2289: PetscBool isplex = PETSC_FALSE;
2291: PetscFunctionBegin;
2292: if (ncc) *ncc = 0;
2293: if (cc) *cc = NULL;
2294: if (primalv) *primalv = NULL;
2295: PetscCall(PCBDDCGraphCreate(&graph));
2296: PetscCall(MatGetDM(pc->pmat, &dm));
2297: if (!dm) PetscCall(PCGetDM(pc, &dm));
2298: if (dm) PetscCall(PetscObjectTypeCompareAny((PetscObject)dm, &isplex, DMPLEX, DMP4EST, DMP8EST, ""));
2299: if (filter) isplex = PETSC_FALSE;
2301: if (isplex) { /* this code has been modified from plexpartition.c */
2302: PetscInt p, pStart, pEnd, a, adjSize, idx, size, nroots;
2303: PetscInt *adj = NULL;
2304: IS cellNumbering;
2305: const PetscInt *cellNum;
2306: PetscBool useCone, useClosure;
2307: PetscSection section;
2308: PetscSegBuffer adjBuffer;
2309: PetscSF sfPoint;
2311: PetscCall(DMConvert(dm, DMPLEX, &dm));
2312: PetscCall(DMPlexGetHeightStratum(dm, 0, &pStart, &pEnd));
2313: PetscCall(DMGetPointSF(dm, &sfPoint));
2314: PetscCall(PetscSFGetGraph(sfPoint, &nroots, NULL, NULL, NULL));
2315: /* Build adjacency graph via a section/segbuffer */
2316: PetscCall(PetscSectionCreate(PetscObjectComm((PetscObject)dm), §ion));
2317: PetscCall(PetscSectionSetChart(section, pStart, pEnd));
2318: PetscCall(PetscSegBufferCreate(sizeof(PetscInt), 1000, &adjBuffer));
2319: /* Always use FVM adjacency to create partitioner graph */
2320: PetscCall(DMGetBasicAdjacency(dm, &useCone, &useClosure));
2321: PetscCall(DMSetBasicAdjacency(dm, PETSC_TRUE, PETSC_FALSE));
2322: PetscCall(DMPlexGetCellNumbering(dm, &cellNumbering));
2323: PetscCall(ISGetIndices(cellNumbering, &cellNum));
2324: for (n = 0, p = pStart; p < pEnd; p++) {
2325: /* Skip non-owned cells in parallel (ParMetis expects no overlap) */
2326: if (nroots > 0) {
2327: if (cellNum[p] < 0) continue;
2328: }
2329: adjSize = PETSC_DETERMINE;
2330: PetscCall(DMPlexGetAdjacency(dm, p, &adjSize, &adj));
2331: for (a = 0; a < adjSize; ++a) {
2332: const PetscInt point = adj[a];
2333: if (pStart <= point && point < pEnd) {
2334: PetscInt *PETSC_RESTRICT pBuf;
2335: PetscCall(PetscSectionAddDof(section, p, 1));
2336: PetscCall(PetscSegBufferGetInts(adjBuffer, 1, &pBuf));
2337: *pBuf = point;
2338: }
2339: }
2340: n++;
2341: }
2342: PetscCall(DMSetBasicAdjacency(dm, useCone, useClosure));
2343: /* Derive CSR graph from section/segbuffer */
2344: PetscCall(PetscSectionSetUp(section));
2345: PetscCall(PetscSectionGetStorageSize(section, &size));
2346: PetscCall(PetscMalloc1(n + 1, &xadj));
2347: for (idx = 0, p = pStart; p < pEnd; p++) {
2348: if (nroots > 0) {
2349: if (cellNum[p] < 0) continue;
2350: }
2351: PetscCall(PetscSectionGetOffset(section, p, &xadj[idx++]));
2352: }
2353: xadj[n] = size;
2354: PetscCall(PetscSegBufferExtractAlloc(adjBuffer, &adjncy));
2355: /* Clean up */
2356: PetscCall(PetscSegBufferDestroy(&adjBuffer));
2357: PetscCall(PetscSectionDestroy(§ion));
2358: PetscCall(PetscFree(adj));
2359: graph->xadj = xadj;
2360: graph->adjncy = adjncy;
2361: } else {
2362: Mat A;
2363: PetscBool isseqaij, flg_row;
2365: PetscCall(MatISGetLocalMat(pc->pmat, &A));
2366: if (!A->rmap->N || !A->cmap->N) {
2367: PetscCall(PCBDDCGraphDestroy(&graph));
2368: PetscFunctionReturn(PETSC_SUCCESS);
2369: }
2370: PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATSEQAIJ, &isseqaij));
2371: if (!isseqaij && filter) {
2372: PetscBool isseqdense;
2374: PetscCall(PetscObjectTypeCompare((PetscObject)A, MATSEQDENSE, &isseqdense));
2375: if (!isseqdense) {
2376: PetscCall(MatConvert(A, MATSEQAIJ, MAT_INITIAL_MATRIX, &B));
2377: } else { /* TODO: rectangular case and LDA */
2378: PetscScalar *array;
2379: PetscReal chop = 1.e-6;
2381: PetscCall(MatDuplicate(A, MAT_COPY_VALUES, &B));
2382: PetscCall(MatDenseGetArray(B, &array));
2383: PetscCall(MatGetSize(B, &n, NULL));
2384: for (i = 0; i < n; i++) {
2385: PetscInt j;
2386: for (j = i + 1; j < n; j++) {
2387: PetscReal thresh = chop * (PetscAbsScalar(array[i * (n + 1)]) + PetscAbsScalar(array[j * (n + 1)]));
2388: if (PetscAbsScalar(array[i * n + j]) < thresh) array[i * n + j] = 0.;
2389: if (PetscAbsScalar(array[j * n + i]) < thresh) array[j * n + i] = 0.;
2390: }
2391: }
2392: PetscCall(MatDenseRestoreArray(B, &array));
2393: PetscCall(MatConvert(B, MATSEQAIJ, MAT_INPLACE_MATRIX, &B));
2394: }
2395: } else {
2396: PetscCall(PetscObjectReference((PetscObject)A));
2397: B = A;
2398: }
2399: PetscCall(MatGetRowIJ(B, 0, PETSC_TRUE, PETSC_FALSE, &n, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
2401: /* if filter is true, then removes entries lower than PETSC_SMALL in magnitude */
2402: if (filter) {
2403: PetscScalar *data;
2404: PetscInt j, cum;
2406: PetscCall(PetscCalloc2(n + 1, &xadj_filtered, xadj[n], &adjncy_filtered));
2407: PetscCall(MatSeqAIJGetArray(B, &data));
2408: cum = 0;
2409: for (i = 0; i < n; i++) {
2410: PetscInt t;
2412: for (j = xadj[i]; j < xadj[i + 1]; j++) {
2413: if (PetscUnlikely(PetscAbsScalar(data[j]) < PETSC_SMALL)) continue;
2414: adjncy_filtered[cum + xadj_filtered[i]++] = adjncy[j];
2415: }
2416: t = xadj_filtered[i];
2417: xadj_filtered[i] = cum;
2418: cum += t;
2419: }
2420: PetscCall(MatSeqAIJRestoreArray(B, &data));
2421: graph->xadj = xadj_filtered;
2422: graph->adjncy = adjncy_filtered;
2423: } else {
2424: graph->xadj = xadj;
2425: graph->adjncy = adjncy;
2426: }
2427: }
2428: /* compute local connected components using PCBDDCGraph */
2429: graph->seq_graph = PETSC_TRUE; /* analyze local connected components (i.e. disconnected subdomains) irrespective of dofs count */
2430: PetscCall(ISCreateStride(PETSC_COMM_SELF, n, 0, 1, &is_dummy));
2431: PetscCall(ISLocalToGlobalMappingCreateIS(is_dummy, &l2gmap_dummy));
2432: PetscCall(ISDestroy(&is_dummy));
2433: PetscCall(PCBDDCGraphInit(graph, l2gmap_dummy, n, PETSC_INT_MAX));
2434: PetscCall(ISLocalToGlobalMappingDestroy(&l2gmap_dummy));
2435: PetscCall(PCBDDCGraphSetUp(graph, 1, NULL, NULL, 0, NULL, NULL));
2436: PetscCall(PCBDDCGraphComputeConnectedComponents(graph));
2438: /* partial clean up */
2439: PetscCall(PetscFree2(xadj_filtered, adjncy_filtered));
2440: if (B) {
2441: PetscBool flg_row;
2442: PetscCall(MatRestoreRowIJ(B, 0, PETSC_TRUE, PETSC_FALSE, &n, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
2443: PetscCall(MatDestroy(&B));
2444: }
2445: if (isplex) {
2446: PetscCall(PetscFree(xadj));
2447: PetscCall(PetscFree(adjncy));
2448: }
2450: /* get back data */
2451: if (isplex) {
2452: if (ncc) *ncc = graph->ncc;
2453: if (cc || primalv) {
2454: Mat A;
2455: PetscBT btv, btvt, btvc;
2456: PetscSection subSection;
2457: PetscInt *ids, cum, cump, *cids, *pids;
2458: PetscInt dim, cStart, cEnd, fStart, fEnd, vStart, vEnd, pStart, pEnd;
2460: PetscCall(DMGetDimension(dm, &dim));
2461: PetscCall(DMPlexGetSubdomainSection(dm, &subSection));
2462: PetscCall(DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd));
2463: PetscCall(DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd));
2464: PetscCall(DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd));
2465: PetscCall(DMPlexGetChart(dm, &pStart, &pEnd));
2466: PetscCall(MatISGetLocalMat(pc->pmat, &A));
2467: PetscCall(PetscMalloc3(A->rmap->n, &ids, graph->ncc + 1, &cids, A->rmap->n, &pids));
2468: PetscCall(PetscBTCreate(A->rmap->n, &btv));
2469: PetscCall(PetscBTCreate(A->rmap->n, &btvt));
2470: PetscCall(PetscBTCreate(pEnd - pStart, &btvc));
2472: /* First see if we find corners for the subdomains, i.e. a vertex
2473: shared by at least dim subdomain boundary faces. This does not
2474: cover all the possible cases with simplices but it is enough
2475: for tensor cells */
2476: if (vStart != fStart && dim <= 3) {
2477: for (PetscInt c = cStart; c < cEnd; c++) {
2478: PetscInt nf, cnt = 0, mcnt = dim, *cfaces;
2479: const PetscInt *faces;
2481: PetscCall(DMPlexGetConeSize(dm, c, &nf));
2482: PetscCall(DMGetWorkArray(dm, nf, MPIU_INT, &cfaces));
2483: PetscCall(DMPlexGetCone(dm, c, &faces));
2484: for (PetscInt f = 0; f < nf; f++) {
2485: PetscInt nc, ff;
2487: PetscCall(DMPlexGetSupportSize(dm, faces[f], &nc));
2488: PetscCall(DMPlexGetTreeParent(dm, faces[f], &ff, NULL));
2489: if (nc == 1 && faces[f] == ff) cfaces[cnt++] = faces[f];
2490: }
2491: if (cnt >= mcnt) {
2492: PetscInt size, *closure = NULL;
2494: PetscCall(DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &size, &closure));
2495: for (PetscInt k = 0; k < 2 * size; k += 2) {
2496: PetscInt v = closure[k];
2497: if (v >= vStart && v < vEnd) {
2498: PetscInt vsize, *vclosure = NULL;
2500: cnt = 0;
2501: PetscCall(DMPlexGetTransitiveClosure(dm, v, PETSC_FALSE, &vsize, &vclosure));
2502: for (PetscInt vk = 0; vk < 2 * vsize; vk += 2) {
2503: PetscInt f = vclosure[vk];
2504: if (f >= fStart && f < fEnd) {
2505: PetscInt nc, ff;
2506: PetscBool valid = PETSC_FALSE;
2508: for (PetscInt fk = 0; fk < nf; fk++)
2509: if (f == cfaces[fk]) valid = PETSC_TRUE;
2510: if (!valid) continue;
2511: PetscCall(DMPlexGetSupportSize(dm, f, &nc));
2512: PetscCall(DMPlexGetTreeParent(dm, f, &ff, NULL));
2513: if (nc == 1 && f == ff) cnt++;
2514: }
2515: }
2516: if (cnt >= mcnt) PetscCall(PetscBTSet(btvc, v - pStart));
2517: PetscCall(DMPlexRestoreTransitiveClosure(dm, v, PETSC_FALSE, &vsize, &vclosure));
2518: }
2519: }
2520: PetscCall(DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &size, &closure));
2521: }
2522: PetscCall(DMRestoreWorkArray(dm, nf, MPIU_INT, &cfaces));
2523: }
2524: }
2526: cids[0] = 0;
2527: for (i = 0, cump = 0, cum = 0; i < graph->ncc; i++) {
2528: PetscInt j;
2530: PetscCall(PetscBTMemzero(A->rmap->n, btvt));
2531: for (j = graph->cptr[i]; j < graph->cptr[i + 1]; j++) {
2532: PetscInt k, size, *closure = NULL, cell = graph->queue[j];
2534: PetscCall(DMPlexGetTransitiveClosure(dm, cell, PETSC_TRUE, &size, &closure));
2535: for (k = 0; k < 2 * size; k += 2) {
2536: PetscInt s, pp, p = closure[k], off, dof, cdof;
2538: PetscCall(PetscSectionGetConstraintDof(subSection, p, &cdof));
2539: PetscCall(PetscSectionGetOffset(subSection, p, &off));
2540: PetscCall(PetscSectionGetDof(subSection, p, &dof));
2541: for (s = 0; s < dof - cdof; s++) {
2542: if (PetscBTLookupSet(btvt, off + s)) continue;
2543: if (PetscBTLookup(btvc, p - pStart)) pids[cump++] = off + s; /* subdomain corner */
2544: else if (!PetscBTLookup(btv, off + s)) ids[cum++] = off + s;
2545: else pids[cump++] = off + s; /* cross-vertex */
2546: }
2547: PetscCall(DMPlexGetTreeParent(dm, p, &pp, NULL));
2548: if (pp != p) {
2549: PetscCall(PetscSectionGetConstraintDof(subSection, pp, &cdof));
2550: PetscCall(PetscSectionGetOffset(subSection, pp, &off));
2551: PetscCall(PetscSectionGetDof(subSection, pp, &dof));
2552: for (s = 0; s < dof - cdof; s++) {
2553: if (PetscBTLookupSet(btvt, off + s)) continue;
2554: if (PetscBTLookup(btvc, pp - pStart)) pids[cump++] = off + s; /* subdomain corner */
2555: else if (!PetscBTLookup(btv, off + s)) ids[cum++] = off + s;
2556: else pids[cump++] = off + s; /* cross-vertex */
2557: }
2558: }
2559: }
2560: PetscCall(DMPlexRestoreTransitiveClosure(dm, cell, PETSC_TRUE, &size, &closure));
2561: }
2562: cids[i + 1] = cum;
2563: /* mark dofs as already assigned */
2564: for (j = cids[i]; j < cids[i + 1]; j++) PetscCall(PetscBTSet(btv, ids[j]));
2565: }
2566: if (cc) {
2567: PetscCall(PetscMalloc1(graph->ncc, &cc_n));
2568: for (i = 0; i < graph->ncc; i++) PetscCall(ISCreateGeneral(PETSC_COMM_SELF, cids[i + 1] - cids[i], ids + cids[i], PETSC_COPY_VALUES, &cc_n[i]));
2569: *cc = cc_n;
2570: }
2571: if (primalv) PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), cump, pids, PETSC_COPY_VALUES, primalv));
2572: PetscCall(PetscFree3(ids, cids, pids));
2573: PetscCall(PetscBTDestroy(&btv));
2574: PetscCall(PetscBTDestroy(&btvt));
2575: PetscCall(PetscBTDestroy(&btvc));
2576: PetscCall(DMDestroy(&dm));
2577: }
2578: } else {
2579: if (ncc) *ncc = graph->ncc;
2580: if (cc) {
2581: PetscCall(PetscMalloc1(graph->ncc, &cc_n));
2582: for (i = 0; i < graph->ncc; i++) PetscCall(ISCreateGeneral(PETSC_COMM_SELF, graph->cptr[i + 1] - graph->cptr[i], graph->queue + graph->cptr[i], PETSC_COPY_VALUES, &cc_n[i]));
2583: *cc = cc_n;
2584: }
2585: }
2586: /* clean up graph */
2587: graph->xadj = NULL;
2588: graph->adjncy = NULL;
2589: PetscCall(PCBDDCGraphDestroy(&graph));
2590: PetscFunctionReturn(PETSC_SUCCESS);
2591: }
2593: PetscErrorCode PCBDDCBenignCheck(PC pc, IS zerodiag)
2594: {
2595: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2596: PC_IS *pcis = (PC_IS *)pc->data;
2597: IS dirIS = NULL;
2598: PetscInt i;
2600: PetscFunctionBegin;
2601: PetscCall(PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph, &dirIS));
2602: if (zerodiag) {
2603: Mat A;
2604: Vec vec3_N;
2605: PetscScalar *vals;
2606: const PetscInt *idxs;
2607: PetscInt nz, *count;
2609: /* p0 */
2610: PetscCall(VecSet(pcis->vec1_N, 0.));
2611: PetscCall(PetscMalloc1(pcis->n, &vals));
2612: PetscCall(ISGetLocalSize(zerodiag, &nz));
2613: PetscCall(ISGetIndices(zerodiag, &idxs));
2614: for (i = 0; i < nz; i++) vals[i] = 1.;
2615: PetscCall(VecSetValues(pcis->vec1_N, nz, idxs, vals, INSERT_VALUES));
2616: PetscCall(VecAssemblyBegin(pcis->vec1_N));
2617: PetscCall(VecAssemblyEnd(pcis->vec1_N));
2618: /* v_I */
2619: PetscCall(VecSetRandom(pcis->vec2_N, NULL));
2620: for (i = 0; i < nz; i++) vals[i] = 0.;
2621: PetscCall(VecSetValues(pcis->vec2_N, nz, idxs, vals, INSERT_VALUES));
2622: PetscCall(ISRestoreIndices(zerodiag, &idxs));
2623: PetscCall(ISGetIndices(pcis->is_B_local, &idxs));
2624: for (i = 0; i < pcis->n_B; i++) vals[i] = 0.;
2625: PetscCall(VecSetValues(pcis->vec2_N, pcis->n_B, idxs, vals, INSERT_VALUES));
2626: PetscCall(ISRestoreIndices(pcis->is_B_local, &idxs));
2627: if (dirIS) {
2628: PetscInt n;
2630: PetscCall(ISGetLocalSize(dirIS, &n));
2631: PetscCall(ISGetIndices(dirIS, &idxs));
2632: for (i = 0; i < n; i++) vals[i] = 0.;
2633: PetscCall(VecSetValues(pcis->vec2_N, n, idxs, vals, INSERT_VALUES));
2634: PetscCall(ISRestoreIndices(dirIS, &idxs));
2635: }
2636: PetscCall(VecAssemblyBegin(pcis->vec2_N));
2637: PetscCall(VecAssemblyEnd(pcis->vec2_N));
2638: PetscCall(VecDuplicate(pcis->vec1_N, &vec3_N));
2639: PetscCall(VecSet(vec3_N, 0.));
2640: PetscCall(MatISGetLocalMat(pc->pmat, &A));
2641: PetscCall(MatMult(A, pcis->vec1_N, vec3_N));
2642: PetscCall(VecDot(vec3_N, pcis->vec2_N, &vals[0]));
2643: PetscCheck(PetscAbsScalar(vals[0]) <= 1.e-1, PETSC_COMM_SELF, PETSC_ERR_SUP, "Benign trick can not be applied! b(v_I,p_0) = %1.6e (should be numerically 0.)", (double)PetscAbsScalar(vals[0]));
2644: PetscCall(PetscFree(vals));
2645: PetscCall(VecDestroy(&vec3_N));
2647: /* there should not be any pressure dofs lying on the interface */
2648: PetscCall(PetscCalloc1(pcis->n, &count));
2649: PetscCall(ISGetIndices(pcis->is_B_local, &idxs));
2650: for (i = 0; i < pcis->n_B; i++) count[idxs[i]]++;
2651: PetscCall(ISRestoreIndices(pcis->is_B_local, &idxs));
2652: PetscCall(ISGetIndices(zerodiag, &idxs));
2653: for (i = 0; i < nz; i++) PetscCheck(!count[idxs[i]], PETSC_COMM_SELF, PETSC_ERR_SUP, "Benign trick can not be applied! pressure dof %" PetscInt_FMT " is an interface dof", idxs[i]);
2654: PetscCall(ISRestoreIndices(zerodiag, &idxs));
2655: PetscCall(PetscFree(count));
2656: }
2657: PetscCall(ISDestroy(&dirIS));
2659: /* check PCBDDCBenignGetOrSetP0 */
2660: PetscCall(VecSetRandom(pcis->vec1_global, NULL));
2661: for (i = 0; i < pcbddc->benign_n; i++) pcbddc->benign_p0[i] = -PetscGlobalRank - i;
2662: PetscCall(PCBDDCBenignGetOrSetP0(pc, pcis->vec1_global, PETSC_FALSE));
2663: for (i = 0; i < pcbddc->benign_n; i++) pcbddc->benign_p0[i] = 1;
2664: PetscCall(PCBDDCBenignGetOrSetP0(pc, pcis->vec1_global, PETSC_TRUE));
2665: for (i = 0; i < pcbddc->benign_n; i++) {
2666: PetscInt val = PetscRealPart(pcbddc->benign_p0[i]);
2667: PetscCheck(val == -PetscGlobalRank - i, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error testing PCBDDCBenignGetOrSetP0! Found %g at %" PetscInt_FMT " instead of %g", (double)PetscRealPart(pcbddc->benign_p0[i]), i, (double)(-PetscGlobalRank - i));
2668: }
2669: PetscFunctionReturn(PETSC_SUCCESS);
2670: }
2672: PetscErrorCode PCBDDCBenignDetectSaddlePoint(PC pc, PetscBool reuse, IS *zerodiaglocal)
2673: {
2674: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2675: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
2676: IS pressures = NULL, zerodiag = NULL, *bzerodiag = NULL, zerodiag_save, *zerodiag_subs;
2677: PetscInt nz, n, benign_n, bsp = 1;
2678: PetscInt *interior_dofs, n_interior_dofs, nneu;
2679: PetscBool sorted, have_null, has_null_pressures, recompute_zerodiag, checkb;
2681: PetscFunctionBegin;
2682: if (reuse) goto project_b0;
2683: PetscCall(PetscSFDestroy(&pcbddc->benign_sf));
2684: PetscCall(MatDestroy(&pcbddc->benign_B0));
2685: for (n = 0; n < pcbddc->benign_n; n++) PetscCall(ISDestroy(&pcbddc->benign_zerodiag_subs[n]));
2686: PetscCall(PetscFree(pcbddc->benign_zerodiag_subs));
2687: has_null_pressures = PETSC_TRUE;
2688: have_null = PETSC_TRUE;
2689: /* if a local information on dofs is present, gets pressure dofs from command line (uses the last field is not provided)
2690: Without local information, it uses only the zerodiagonal dofs (ok if the pressure block is all zero and it is a scalar field)
2691: Checks if all the pressure dofs in each subdomain have a zero diagonal
2692: If not, a change of basis on pressures is not needed
2693: since the local Schur complements are already SPD
2694: */
2695: if (pcbddc->n_ISForDofsLocal) {
2696: IS iP = NULL;
2697: PetscInt p, *pp;
2698: PetscBool flg, blocked = PETSC_FALSE;
2700: PetscCall(PetscMalloc1(pcbddc->n_ISForDofsLocal, &pp));
2701: n = pcbddc->n_ISForDofsLocal;
2702: PetscOptionsBegin(PetscObjectComm((PetscObject)pc), ((PetscObject)pc)->prefix, "BDDC benign options", "PC");
2703: PetscCall(PetscOptionsIntArray("-pc_bddc_pressure_field", "Field id for pressures", NULL, pp, &n, &flg));
2704: PetscCall(PetscOptionsBool("-pc_bddc_pressure_blocked", "Use blocked pressure fields", NULL, blocked, &blocked, NULL));
2705: PetscOptionsEnd();
2706: if (!flg) {
2707: n = 1;
2708: pp[0] = pcbddc->n_ISForDofsLocal - 1;
2709: }
2711: bsp = 0;
2712: for (p = 0; p < n; p++) {
2713: PetscInt bs = 1;
2715: PetscCheck(pp[p] >= 0 && pp[p] < pcbddc->n_ISForDofsLocal, PetscObjectComm((PetscObject)pc), PETSC_ERR_USER, "Invalid field id for pressures %" PetscInt_FMT, pp[p]);
2716: if (blocked) PetscCall(ISGetBlockSize(pcbddc->ISForDofsLocal[pp[p]], &bs));
2717: bsp += bs;
2718: }
2719: PetscCall(PetscMalloc1(bsp, &bzerodiag));
2720: bsp = 0;
2721: for (p = 0; p < n; p++) {
2722: const PetscInt *idxs;
2723: PetscInt b, bs = 1, npl, *bidxs;
2725: if (blocked) PetscCall(ISGetBlockSize(pcbddc->ISForDofsLocal[pp[p]], &bs));
2726: PetscCall(ISGetLocalSize(pcbddc->ISForDofsLocal[pp[p]], &npl));
2727: PetscCall(ISGetIndices(pcbddc->ISForDofsLocal[pp[p]], &idxs));
2728: PetscCall(PetscMalloc1(npl / bs, &bidxs));
2729: for (b = 0; b < bs; b++) {
2730: PetscInt i;
2732: for (i = 0; i < npl / bs; i++) bidxs[i] = idxs[bs * i + b];
2733: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, npl / bs, bidxs, PETSC_COPY_VALUES, &bzerodiag[bsp]));
2734: bsp++;
2735: }
2736: PetscCall(PetscFree(bidxs));
2737: PetscCall(ISRestoreIndices(pcbddc->ISForDofsLocal[pp[p]], &idxs));
2738: }
2739: PetscCall(ISConcatenate(PETSC_COMM_SELF, bsp, bzerodiag, &pressures));
2741: /* remove zeroed out pressures if we are setting up a BDDC solver for a saddle-point FETI-DP */
2742: PetscCall(PetscObjectQuery((PetscObject)pc, "__KSPFETIDP_lP", (PetscObject *)&iP));
2743: if (iP) {
2744: IS newpressures;
2746: PetscCall(ISDifference(pressures, iP, &newpressures));
2747: PetscCall(ISDestroy(&pressures));
2748: pressures = newpressures;
2749: }
2750: PetscCall(ISSorted(pressures, &sorted));
2751: if (!sorted) PetscCall(ISSort(pressures));
2752: PetscCall(PetscFree(pp));
2753: }
2755: /* pcis has not been setup yet, so get the local size from the subdomain matrix */
2756: PetscCall(MatGetLocalSize(pcbddc->local_mat, &n, NULL));
2757: if (!n) pcbddc->benign_change_explicit = PETSC_TRUE;
2758: PetscCall(MatFindZeroDiagonals(pcbddc->local_mat, &zerodiag));
2759: PetscCall(ISSorted(zerodiag, &sorted));
2760: if (!sorted) PetscCall(ISSort(zerodiag));
2761: PetscCall(PetscObjectReference((PetscObject)zerodiag));
2762: zerodiag_save = zerodiag;
2763: PetscCall(ISGetLocalSize(zerodiag, &nz));
2764: if (!nz) {
2765: if (n) have_null = PETSC_FALSE;
2766: has_null_pressures = PETSC_FALSE;
2767: PetscCall(ISDestroy(&zerodiag));
2768: }
2769: recompute_zerodiag = PETSC_FALSE;
2771: /* in case disconnected subdomains info is present, split the pressures accordingly (otherwise the benign trick could fail) */
2772: zerodiag_subs = NULL;
2773: benign_n = 0;
2774: n_interior_dofs = 0;
2775: interior_dofs = NULL;
2776: nneu = 0;
2777: if (pcbddc->NeumannBoundariesLocal) PetscCall(ISGetLocalSize(pcbddc->NeumannBoundariesLocal, &nneu));
2778: checkb = (PetscBool)(!pcbddc->NeumannBoundariesLocal || pcbddc->current_level);
2779: if (checkb) { /* need to compute interior nodes */
2780: PetscInt n, i;
2781: PetscInt *count;
2782: ISLocalToGlobalMapping mapping;
2784: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &mapping, NULL));
2785: PetscCall(ISLocalToGlobalMappingGetNodeInfo(mapping, &n, &count, NULL));
2786: PetscCall(PetscMalloc1(n, &interior_dofs));
2787: for (i = 0; i < n; i++)
2788: if (count[i] < 2) interior_dofs[n_interior_dofs++] = i;
2789: PetscCall(ISLocalToGlobalMappingRestoreNodeInfo(mapping, &n, &count, NULL));
2790: }
2791: if (has_null_pressures) {
2792: IS *subs;
2793: PetscInt nsubs, i, j, nl;
2794: const PetscInt *idxs;
2795: PetscScalar *array;
2796: Vec *work;
2798: subs = pcbddc->local_subs;
2799: nsubs = pcbddc->n_local_subs;
2800: /* these vectors are needed to check if the constant on pressures is in the kernel of the local operator B (i.e. B(v_I,p0) should be zero) */
2801: if (checkb) {
2802: PetscCall(VecDuplicateVecs(matis->y, 2, &work));
2803: PetscCall(ISGetLocalSize(zerodiag, &nl));
2804: PetscCall(ISGetIndices(zerodiag, &idxs));
2805: /* work[0] = 1_p */
2806: PetscCall(VecSet(work[0], 0.));
2807: PetscCall(VecGetArray(work[0], &array));
2808: for (j = 0; j < nl; j++) array[idxs[j]] = 1.;
2809: PetscCall(VecRestoreArray(work[0], &array));
2810: /* work[0] = 1_v */
2811: PetscCall(VecSet(work[1], 1.));
2812: PetscCall(VecGetArray(work[1], &array));
2813: for (j = 0; j < nl; j++) array[idxs[j]] = 0.;
2814: PetscCall(VecRestoreArray(work[1], &array));
2815: PetscCall(ISRestoreIndices(zerodiag, &idxs));
2816: }
2818: if (nsubs > 1 || bsp > 1) {
2819: IS *is;
2820: PetscInt b, totb;
2822: totb = bsp;
2823: is = bsp > 1 ? bzerodiag : &zerodiag;
2824: nsubs = PetscMax(nsubs, 1);
2825: PetscCall(PetscCalloc1(nsubs * totb, &zerodiag_subs));
2826: for (b = 0; b < totb; b++) {
2827: for (i = 0; i < nsubs; i++) {
2828: ISLocalToGlobalMapping l2g;
2829: IS t_zerodiag_subs;
2830: PetscInt nl;
2832: if (subs) {
2833: PetscCall(ISLocalToGlobalMappingCreateIS(subs[i], &l2g));
2834: } else {
2835: IS tis;
2837: PetscCall(MatGetLocalSize(pcbddc->local_mat, &nl, NULL));
2838: PetscCall(ISCreateStride(PETSC_COMM_SELF, nl, 0, 1, &tis));
2839: PetscCall(ISLocalToGlobalMappingCreateIS(tis, &l2g));
2840: PetscCall(ISDestroy(&tis));
2841: }
2842: PetscCall(ISGlobalToLocalMappingApplyIS(l2g, IS_GTOLM_DROP, is[b], &t_zerodiag_subs));
2843: PetscCall(ISGetLocalSize(t_zerodiag_subs, &nl));
2844: if (nl) {
2845: PetscBool valid = PETSC_TRUE;
2847: if (checkb) {
2848: PetscCall(VecSet(matis->x, 0));
2849: PetscCall(ISGetLocalSize(subs[i], &nl));
2850: PetscCall(ISGetIndices(subs[i], &idxs));
2851: PetscCall(VecGetArray(matis->x, &array));
2852: for (j = 0; j < nl; j++) array[idxs[j]] = 1.;
2853: PetscCall(VecRestoreArray(matis->x, &array));
2854: PetscCall(ISRestoreIndices(subs[i], &idxs));
2855: PetscCall(VecPointwiseMult(matis->x, work[0], matis->x));
2856: PetscCall(MatMult(matis->A, matis->x, matis->y));
2857: PetscCall(VecPointwiseMult(matis->y, work[1], matis->y));
2858: PetscCall(VecGetArray(matis->y, &array));
2859: for (j = 0; j < n_interior_dofs; j++) {
2860: if (PetscAbsScalar(array[interior_dofs[j]]) > PETSC_SMALL) {
2861: valid = PETSC_FALSE;
2862: break;
2863: }
2864: }
2865: PetscCall(VecRestoreArray(matis->y, &array));
2866: }
2867: if (valid && nneu) {
2868: const PetscInt *idxs;
2869: PetscInt nzb;
2871: PetscCall(ISGetIndices(pcbddc->NeumannBoundariesLocal, &idxs));
2872: PetscCall(ISGlobalToLocalMappingApply(l2g, IS_GTOLM_DROP, nneu, idxs, &nzb, NULL));
2873: PetscCall(ISRestoreIndices(pcbddc->NeumannBoundariesLocal, &idxs));
2874: if (nzb) valid = PETSC_FALSE;
2875: }
2876: if (valid && pressures) {
2877: IS t_pressure_subs, tmp;
2878: PetscInt i1, i2;
2880: PetscCall(ISGlobalToLocalMappingApplyIS(l2g, IS_GTOLM_DROP, pressures, &t_pressure_subs));
2881: PetscCall(ISEmbed(t_zerodiag_subs, t_pressure_subs, PETSC_TRUE, &tmp));
2882: PetscCall(ISGetLocalSize(tmp, &i1));
2883: PetscCall(ISGetLocalSize(t_zerodiag_subs, &i2));
2884: if (i2 != i1) valid = PETSC_FALSE;
2885: PetscCall(ISDestroy(&t_pressure_subs));
2886: PetscCall(ISDestroy(&tmp));
2887: }
2888: if (valid) {
2889: PetscCall(ISLocalToGlobalMappingApplyIS(l2g, t_zerodiag_subs, &zerodiag_subs[benign_n]));
2890: benign_n++;
2891: } else recompute_zerodiag = PETSC_TRUE;
2892: }
2893: PetscCall(ISDestroy(&t_zerodiag_subs));
2894: PetscCall(ISLocalToGlobalMappingDestroy(&l2g));
2895: }
2896: }
2897: } else { /* there's just one subdomain (or zero if they have not been detected */
2898: PetscBool valid = PETSC_TRUE;
2900: if (nneu) valid = PETSC_FALSE;
2901: if (valid && pressures) PetscCall(ISEqual(pressures, zerodiag, &valid));
2902: if (valid && checkb) {
2903: PetscCall(MatMult(matis->A, work[0], matis->x));
2904: PetscCall(VecPointwiseMult(matis->x, work[1], matis->x));
2905: PetscCall(VecGetArray(matis->x, &array));
2906: for (j = 0; j < n_interior_dofs; j++) {
2907: if (PetscAbsScalar(array[interior_dofs[j]]) > PETSC_SMALL) {
2908: valid = PETSC_FALSE;
2909: break;
2910: }
2911: }
2912: PetscCall(VecRestoreArray(matis->x, &array));
2913: }
2914: if (valid) {
2915: benign_n = 1;
2916: PetscCall(PetscMalloc1(benign_n, &zerodiag_subs));
2917: PetscCall(PetscObjectReference((PetscObject)zerodiag));
2918: zerodiag_subs[0] = zerodiag;
2919: }
2920: }
2921: if (checkb) PetscCall(VecDestroyVecs(2, &work));
2922: }
2923: PetscCall(PetscFree(interior_dofs));
2925: if (!benign_n) {
2926: PetscInt n;
2928: PetscCall(ISDestroy(&zerodiag));
2929: recompute_zerodiag = PETSC_FALSE;
2930: PetscCall(MatGetLocalSize(pcbddc->local_mat, &n, NULL));
2931: if (n) have_null = PETSC_FALSE;
2932: }
2934: /* final check for null pressures */
2935: if (zerodiag && pressures) PetscCall(ISEqual(pressures, zerodiag, &have_null));
2937: if (recompute_zerodiag) {
2938: PetscCall(ISDestroy(&zerodiag));
2939: if (benign_n == 1) {
2940: PetscCall(PetscObjectReference((PetscObject)zerodiag_subs[0]));
2941: zerodiag = zerodiag_subs[0];
2942: } else {
2943: PetscInt i, nzn, *new_idxs;
2945: nzn = 0;
2946: for (i = 0; i < benign_n; i++) {
2947: PetscInt ns;
2948: PetscCall(ISGetLocalSize(zerodiag_subs[i], &ns));
2949: nzn += ns;
2950: }
2951: PetscCall(PetscMalloc1(nzn, &new_idxs));
2952: nzn = 0;
2953: for (i = 0; i < benign_n; i++) {
2954: PetscInt ns, *idxs;
2955: PetscCall(ISGetLocalSize(zerodiag_subs[i], &ns));
2956: PetscCall(ISGetIndices(zerodiag_subs[i], (const PetscInt **)&idxs));
2957: PetscCall(PetscArraycpy(new_idxs + nzn, idxs, ns));
2958: PetscCall(ISRestoreIndices(zerodiag_subs[i], (const PetscInt **)&idxs));
2959: nzn += ns;
2960: }
2961: PetscCall(PetscSortInt(nzn, new_idxs));
2962: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, nzn, new_idxs, PETSC_OWN_POINTER, &zerodiag));
2963: }
2964: have_null = PETSC_FALSE;
2965: }
2967: /* determines if the coarse solver will be singular or not */
2968: PetscCallMPI(MPIU_Allreduce(&have_null, &pcbddc->benign_null, 1, MPIU_BOOL, MPI_LAND, PetscObjectComm((PetscObject)pc)));
2970: /* Prepare matrix to compute no-net-flux */
2971: if (pcbddc->compute_nonetflux && !pcbddc->divudotp) {
2972: Mat A, loc_divudotp;
2973: ISLocalToGlobalMapping rl2g, cl2g, l2gmap;
2974: IS row, col, isused = NULL;
2975: PetscInt M, N, n, st, n_isused;
2977: if (pressures) {
2978: isused = pressures;
2979: } else {
2980: isused = zerodiag_save;
2981: }
2982: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &l2gmap, NULL));
2983: PetscCall(MatISGetLocalMat(pc->pmat, &A));
2984: PetscCall(MatGetLocalSize(A, &n, NULL));
2985: PetscCheck(isused || (n == 0), PETSC_COMM_SELF, PETSC_ERR_USER, "Don't know how to extract div u dot p! Please provide the pressure field");
2986: n_isused = 0;
2987: if (isused) PetscCall(ISGetLocalSize(isused, &n_isused));
2988: PetscCallMPI(MPI_Scan(&n_isused, &st, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)pc)));
2989: st = st - n_isused;
2990: if (n) {
2991: const PetscInt *gidxs;
2993: PetscCall(MatCreateSubMatrix(A, isused, NULL, MAT_INITIAL_MATRIX, &loc_divudotp));
2994: PetscCall(ISLocalToGlobalMappingGetIndices(l2gmap, &gidxs));
2995: /* TODO: extend ISCreateStride with st = PETSC_DECIDE */
2996: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), n_isused, st, 1, &row));
2997: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), n, gidxs, PETSC_COPY_VALUES, &col));
2998: PetscCall(ISLocalToGlobalMappingRestoreIndices(l2gmap, &gidxs));
2999: } else {
3000: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, 0, 0, 1, NULL, &loc_divudotp));
3001: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), n_isused, st, 1, &row));
3002: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), 0, NULL, PETSC_COPY_VALUES, &col));
3003: }
3004: PetscCall(MatGetSize(pc->pmat, NULL, &N));
3005: PetscCall(ISGetSize(row, &M));
3006: PetscCall(ISLocalToGlobalMappingCreateIS(row, &rl2g));
3007: PetscCall(ISLocalToGlobalMappingCreateIS(col, &cl2g));
3008: PetscCall(ISDestroy(&row));
3009: PetscCall(ISDestroy(&col));
3010: PetscCall(MatCreate(PetscObjectComm((PetscObject)pc), &pcbddc->divudotp));
3011: PetscCall(MatSetType(pcbddc->divudotp, MATIS));
3012: PetscCall(MatSetSizes(pcbddc->divudotp, PETSC_DECIDE, PETSC_DECIDE, M, N));
3013: PetscCall(MatSetLocalToGlobalMapping(pcbddc->divudotp, rl2g, cl2g));
3014: PetscCall(ISLocalToGlobalMappingDestroy(&rl2g));
3015: PetscCall(ISLocalToGlobalMappingDestroy(&cl2g));
3016: PetscCall(MatISSetLocalMat(pcbddc->divudotp, loc_divudotp));
3017: PetscCall(MatDestroy(&loc_divudotp));
3018: PetscCall(MatAssemblyBegin(pcbddc->divudotp, MAT_FINAL_ASSEMBLY));
3019: PetscCall(MatAssemblyEnd(pcbddc->divudotp, MAT_FINAL_ASSEMBLY));
3020: }
3021: PetscCall(ISDestroy(&zerodiag_save));
3022: PetscCall(ISDestroy(&pressures));
3023: if (bzerodiag) {
3024: PetscInt i;
3026: for (i = 0; i < bsp; i++) PetscCall(ISDestroy(&bzerodiag[i]));
3027: PetscCall(PetscFree(bzerodiag));
3028: }
3029: pcbddc->benign_n = benign_n;
3030: pcbddc->benign_zerodiag_subs = zerodiag_subs;
3032: /* determines if the problem has subdomains with 0 pressure block */
3033: have_null = (PetscBool)(!!pcbddc->benign_n);
3034: PetscCallMPI(MPIU_Allreduce(&have_null, &pcbddc->benign_have_null, 1, MPIU_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
3036: project_b0:
3037: PetscCall(MatGetLocalSize(pcbddc->local_mat, &n, NULL));
3038: /* change of basis and p0 dofs */
3039: if (pcbddc->benign_n) {
3040: PetscInt i, s, *nnz;
3042: /* local change of basis for pressures */
3043: PetscCall(MatDestroy(&pcbddc->benign_change));
3044: PetscCall(MatCreate(PetscObjectComm((PetscObject)pcbddc->local_mat), &pcbddc->benign_change));
3045: PetscCall(MatSetType(pcbddc->benign_change, MATAIJ));
3046: PetscCall(MatSetSizes(pcbddc->benign_change, n, n, PETSC_DECIDE, PETSC_DECIDE));
3047: PetscCall(PetscMalloc1(n, &nnz));
3048: for (i = 0; i < n; i++) nnz[i] = 1; /* defaults to identity */
3049: for (i = 0; i < pcbddc->benign_n; i++) {
3050: const PetscInt *idxs;
3051: PetscInt nzs, j;
3053: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[i], &nzs));
3054: PetscCall(ISGetIndices(pcbddc->benign_zerodiag_subs[i], &idxs));
3055: for (j = 0; j < nzs - 1; j++) nnz[idxs[j]] = 2; /* change on pressures */
3056: nnz[idxs[nzs - 1]] = nzs; /* last local pressure dof in subdomain */
3057: PetscCall(ISRestoreIndices(pcbddc->benign_zerodiag_subs[i], &idxs));
3058: }
3059: PetscCall(MatSeqAIJSetPreallocation(pcbddc->benign_change, 0, nnz));
3060: PetscCall(MatSetOption(pcbddc->benign_change, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
3061: PetscCall(PetscFree(nnz));
3062: /* set identity by default */
3063: for (i = 0; i < n; i++) PetscCall(MatSetValue(pcbddc->benign_change, i, i, 1., INSERT_VALUES));
3064: PetscCall(PetscFree3(pcbddc->benign_p0_lidx, pcbddc->benign_p0_gidx, pcbddc->benign_p0));
3065: PetscCall(PetscMalloc3(pcbddc->benign_n, &pcbddc->benign_p0_lidx, pcbddc->benign_n, &pcbddc->benign_p0_gidx, pcbddc->benign_n, &pcbddc->benign_p0));
3066: /* set change on pressures */
3067: for (s = 0; s < pcbddc->benign_n; s++) {
3068: PetscScalar *array;
3069: const PetscInt *idxs;
3070: PetscInt nzs;
3072: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[s], &nzs));
3073: PetscCall(ISGetIndices(pcbddc->benign_zerodiag_subs[s], &idxs));
3074: for (i = 0; i < nzs - 1; i++) {
3075: PetscScalar vals[2];
3076: PetscInt cols[2];
3078: cols[0] = idxs[i];
3079: cols[1] = idxs[nzs - 1];
3080: vals[0] = 1.;
3081: vals[1] = 1.;
3082: PetscCall(MatSetValues(pcbddc->benign_change, 1, cols, 2, cols, vals, INSERT_VALUES));
3083: }
3084: PetscCall(PetscMalloc1(nzs, &array));
3085: for (i = 0; i < nzs - 1; i++) array[i] = -1.;
3086: array[nzs - 1] = 1.;
3087: PetscCall(MatSetValues(pcbddc->benign_change, 1, idxs + nzs - 1, nzs, idxs, array, INSERT_VALUES));
3088: /* store local idxs for p0 */
3089: pcbddc->benign_p0_lidx[s] = idxs[nzs - 1];
3090: PetscCall(ISRestoreIndices(pcbddc->benign_zerodiag_subs[s], &idxs));
3091: PetscCall(PetscFree(array));
3092: }
3093: PetscCall(MatAssemblyBegin(pcbddc->benign_change, MAT_FINAL_ASSEMBLY));
3094: PetscCall(MatAssemblyEnd(pcbddc->benign_change, MAT_FINAL_ASSEMBLY));
3096: /* project if needed */
3097: if (pcbddc->benign_change_explicit) {
3098: Mat M;
3100: PetscCall(MatPtAP(pcbddc->local_mat, pcbddc->benign_change, MAT_INITIAL_MATRIX, 2.0, &M));
3101: PetscCall(MatDestroy(&pcbddc->local_mat));
3102: PetscCall(MatSeqAIJCompress(M, &pcbddc->local_mat));
3103: PetscCall(MatDestroy(&M));
3104: }
3105: /* store global idxs for p0 */
3106: PetscCall(ISLocalToGlobalMappingApply(matis->rmapping, pcbddc->benign_n, pcbddc->benign_p0_lidx, pcbddc->benign_p0_gidx));
3107: }
3108: *zerodiaglocal = zerodiag;
3109: PetscFunctionReturn(PETSC_SUCCESS);
3110: }
3112: PetscErrorCode PCBDDCBenignGetOrSetP0(PC pc, Vec v, PetscBool get)
3113: {
3114: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3115: PetscScalar *array;
3117: PetscFunctionBegin;
3118: if (!pcbddc->benign_sf) {
3119: PetscCall(PetscSFCreate(PetscObjectComm((PetscObject)pc), &pcbddc->benign_sf));
3120: PetscCall(PetscSFSetGraphLayout(pcbddc->benign_sf, pc->pmat->rmap, pcbddc->benign_n, NULL, PETSC_OWN_POINTER, pcbddc->benign_p0_gidx));
3121: }
3122: if (get) {
3123: PetscCall(VecGetArrayRead(v, (const PetscScalar **)&array));
3124: PetscCall(PetscSFBcastBegin(pcbddc->benign_sf, MPIU_SCALAR, array, pcbddc->benign_p0, MPI_REPLACE));
3125: PetscCall(PetscSFBcastEnd(pcbddc->benign_sf, MPIU_SCALAR, array, pcbddc->benign_p0, MPI_REPLACE));
3126: PetscCall(VecRestoreArrayRead(v, (const PetscScalar **)&array));
3127: } else {
3128: PetscCall(VecGetArray(v, &array));
3129: PetscCall(PetscSFReduceBegin(pcbddc->benign_sf, MPIU_SCALAR, pcbddc->benign_p0, array, MPI_REPLACE));
3130: PetscCall(PetscSFReduceEnd(pcbddc->benign_sf, MPIU_SCALAR, pcbddc->benign_p0, array, MPI_REPLACE));
3131: PetscCall(VecRestoreArray(v, &array));
3132: }
3133: PetscFunctionReturn(PETSC_SUCCESS);
3134: }
3136: PetscErrorCode PCBDDCBenignPopOrPushB0(PC pc, PetscBool pop)
3137: {
3138: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3140: PetscFunctionBegin;
3141: /* TODO: add error checking
3142: - avoid nested pop (or push) calls.
3143: - cannot push before pop.
3144: - cannot call this if pcbddc->local_mat is NULL
3145: */
3146: if (!pcbddc->benign_n) PetscFunctionReturn(PETSC_SUCCESS);
3147: if (pop) {
3148: if (pcbddc->benign_change_explicit) {
3149: IS is_p0;
3150: MatReuse reuse;
3152: /* extract B_0 */
3153: reuse = MAT_INITIAL_MATRIX;
3154: if (pcbddc->benign_B0) reuse = MAT_REUSE_MATRIX;
3155: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, pcbddc->benign_n, pcbddc->benign_p0_lidx, PETSC_COPY_VALUES, &is_p0));
3156: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, is_p0, NULL, reuse, &pcbddc->benign_B0));
3157: /* remove rows and cols from local problem */
3158: PetscCall(MatSetOption(pcbddc->local_mat, MAT_KEEP_NONZERO_PATTERN, PETSC_TRUE));
3159: PetscCall(MatSetOption(pcbddc->local_mat, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_FALSE));
3160: PetscCall(MatZeroRowsColumnsIS(pcbddc->local_mat, is_p0, 1.0, NULL, NULL));
3161: PetscCall(ISDestroy(&is_p0));
3162: } else {
3163: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
3164: PetscScalar *vals;
3165: PetscInt i, n, *idxs_ins;
3167: PetscCall(VecGetLocalSize(matis->y, &n));
3168: PetscCall(PetscMalloc2(n, &idxs_ins, n, &vals));
3169: if (!pcbddc->benign_B0) {
3170: PetscInt *nnz;
3171: PetscCall(MatCreate(PetscObjectComm((PetscObject)pcbddc->local_mat), &pcbddc->benign_B0));
3172: PetscCall(MatSetType(pcbddc->benign_B0, MATAIJ));
3173: PetscCall(MatSetSizes(pcbddc->benign_B0, pcbddc->benign_n, n, PETSC_DECIDE, PETSC_DECIDE));
3174: PetscCall(PetscMalloc1(pcbddc->benign_n, &nnz));
3175: for (i = 0; i < pcbddc->benign_n; i++) {
3176: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[i], &nnz[i]));
3177: nnz[i] = n - nnz[i];
3178: }
3179: PetscCall(MatSeqAIJSetPreallocation(pcbddc->benign_B0, 0, nnz));
3180: PetscCall(MatSetOption(pcbddc->benign_B0, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
3181: PetscCall(PetscFree(nnz));
3182: }
3184: for (i = 0; i < pcbddc->benign_n; i++) {
3185: PetscScalar *array;
3186: PetscInt *idxs, j, nz, cum;
3188: PetscCall(VecSet(matis->x, 0.));
3189: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[i], &nz));
3190: PetscCall(ISGetIndices(pcbddc->benign_zerodiag_subs[i], (const PetscInt **)&idxs));
3191: for (j = 0; j < nz; j++) vals[j] = 1.;
3192: PetscCall(VecSetValues(matis->x, nz, idxs, vals, INSERT_VALUES));
3193: PetscCall(VecAssemblyBegin(matis->x));
3194: PetscCall(VecAssemblyEnd(matis->x));
3195: PetscCall(VecSet(matis->y, 0.));
3196: PetscCall(MatMult(matis->A, matis->x, matis->y));
3197: PetscCall(VecGetArray(matis->y, &array));
3198: cum = 0;
3199: for (j = 0; j < n; j++) {
3200: if (PetscUnlikely(PetscAbsScalar(array[j]) > PETSC_SMALL)) {
3201: vals[cum] = array[j];
3202: idxs_ins[cum] = j;
3203: cum++;
3204: }
3205: }
3206: PetscCall(MatSetValues(pcbddc->benign_B0, 1, &i, cum, idxs_ins, vals, INSERT_VALUES));
3207: PetscCall(VecRestoreArray(matis->y, &array));
3208: PetscCall(ISRestoreIndices(pcbddc->benign_zerodiag_subs[i], (const PetscInt **)&idxs));
3209: }
3210: PetscCall(MatAssemblyBegin(pcbddc->benign_B0, MAT_FINAL_ASSEMBLY));
3211: PetscCall(MatAssemblyEnd(pcbddc->benign_B0, MAT_FINAL_ASSEMBLY));
3212: PetscCall(PetscFree2(idxs_ins, vals));
3213: }
3214: } else { /* push */
3216: PetscCheck(pcbddc->benign_change_explicit, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Cannot push B0!");
3217: for (PetscInt i = 0; i < pcbddc->benign_n; i++) {
3218: PetscScalar *B0_vals;
3219: PetscInt *B0_cols, B0_ncol;
3221: PetscCall(MatGetRow(pcbddc->benign_B0, i, &B0_ncol, (const PetscInt **)&B0_cols, (const PetscScalar **)&B0_vals));
3222: PetscCall(MatSetValues(pcbddc->local_mat, 1, pcbddc->benign_p0_lidx + i, B0_ncol, B0_cols, B0_vals, INSERT_VALUES));
3223: PetscCall(MatSetValues(pcbddc->local_mat, B0_ncol, B0_cols, 1, pcbddc->benign_p0_lidx + i, B0_vals, INSERT_VALUES));
3224: PetscCall(MatSetValue(pcbddc->local_mat, pcbddc->benign_p0_lidx[i], pcbddc->benign_p0_lidx[i], 0.0, INSERT_VALUES));
3225: PetscCall(MatRestoreRow(pcbddc->benign_B0, i, &B0_ncol, (const PetscInt **)&B0_cols, (const PetscScalar **)&B0_vals));
3226: }
3227: PetscCall(MatAssemblyBegin(pcbddc->local_mat, MAT_FINAL_ASSEMBLY));
3228: PetscCall(MatAssemblyEnd(pcbddc->local_mat, MAT_FINAL_ASSEMBLY));
3229: }
3230: PetscFunctionReturn(PETSC_SUCCESS);
3231: }
3233: PetscErrorCode PCBDDCAdaptiveSelection(PC pc)
3234: {
3235: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3236: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
3237: PetscBLASInt B_dummyint, B_neigs, B_ierr, B_lwork;
3238: PetscBLASInt *B_iwork, *B_ifail;
3239: PetscScalar *work, lwork;
3240: PetscScalar *St, *S, *eigv;
3241: PetscScalar *Sarray, *Starray;
3242: PetscReal *eigs, thresh, lthresh, uthresh;
3243: PetscInt i, nmax, nmin, nv, cum, mss, cum2, cumarray, maxneigs;
3244: PetscBool allocated_S_St, upart;
3245: #if defined(PETSC_USE_COMPLEX)
3246: PetscReal *rwork;
3247: #endif
3249: PetscFunctionBegin;
3250: if (!pcbddc->adaptive_selection) PetscFunctionReturn(PETSC_SUCCESS);
3251: PetscCheck(sub_schurs, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Adaptive selection of constraints requires SubSchurs data");
3252: PetscCheck(sub_schurs->schur_explicit || !sub_schurs->n_subs, PetscObjectComm((PetscObject)pc), PETSC_ERR_SUP, "Adaptive selection of constraints requires MUMPS and/or MKL_CPARDISO");
3253: PetscCheck(!sub_schurs->n_subs || sub_schurs->is_symmetric, PETSC_COMM_SELF, PETSC_ERR_SUP, "Adaptive selection not yet implemented for this matrix pencil (herm %d, symm %d, posdef %d)", sub_schurs->is_hermitian, sub_schurs->is_symmetric,
3254: sub_schurs->is_posdef);
3255: PetscCall(PetscLogEventBegin(PC_BDDC_AdaptiveSetUp[pcbddc->current_level], pc, 0, 0, 0));
3257: if (pcbddc->dbg_flag) {
3258: if (!pcbddc->dbg_viewer) pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
3259: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
3260: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
3261: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Check adaptive selection of constraints\n"));
3262: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
3263: }
3265: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d cc %" PetscInt_FMT " (%d,%d).\n", PetscGlobalRank, sub_schurs->n_subs, sub_schurs->is_hermitian, sub_schurs->is_posdef));
3267: /* max size of subsets */
3268: mss = 0;
3269: for (i = 0; i < sub_schurs->n_subs; i++) {
3270: PetscInt subset_size;
3272: PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
3273: mss = PetscMax(mss, subset_size);
3274: }
3276: /* min/max and threshold */
3277: nmax = pcbddc->adaptive_nmax > 0 ? pcbddc->adaptive_nmax : mss;
3278: nmin = pcbddc->adaptive_nmin > 0 ? pcbddc->adaptive_nmin : 0;
3279: nmax = PetscMax(nmin, nmax);
3280: allocated_S_St = PETSC_FALSE;
3281: if (nmin || !sub_schurs->is_posdef) { /* XXX */
3282: allocated_S_St = PETSC_TRUE;
3283: }
3285: /* allocate lapack workspace */
3286: cum = cum2 = 0;
3287: maxneigs = 0;
3288: for (i = 0; i < sub_schurs->n_subs; i++) {
3289: PetscInt n, subset_size;
3291: PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
3292: n = PetscMin(subset_size, nmax);
3293: cum += subset_size;
3294: cum2 += subset_size * n;
3295: maxneigs = PetscMax(maxneigs, n);
3296: }
3297: lwork = 0;
3298: if (mss) {
3299: PetscScalar sdummy = 0.;
3300: PetscBLASInt B_itype = 1;
3301: PetscBLASInt B_N, idummy = 0;
3302: PetscReal rdummy = 0., zero = 0.0;
3303: PetscReal eps = 0.0; /* dlamch? */
3305: PetscCheck(sub_schurs->is_symmetric, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
3306: PetscCall(PetscBLASIntCast(mss, &B_N));
3307: B_lwork = -1;
3308: /* some implementations may complain about NULL pointers, even if we are querying */
3309: S = &sdummy;
3310: St = &sdummy;
3311: eigs = &rdummy;
3312: eigv = &sdummy;
3313: B_iwork = &idummy;
3314: B_ifail = &idummy;
3315: #if defined(PETSC_USE_COMPLEX)
3316: rwork = &rdummy;
3317: #endif
3318: thresh = 1.0;
3319: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
3320: #if defined(PETSC_USE_COMPLEX)
3321: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &zero, &thresh, &B_dummyint, &B_dummyint, &eps, &B_neigs, eigs, eigv, &B_N, &lwork, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3322: #else
3323: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &zero, &thresh, &B_dummyint, &B_dummyint, &eps, &B_neigs, eigs, eigv, &B_N, &lwork, &B_lwork, B_iwork, B_ifail, &B_ierr));
3324: #endif
3325: PetscCheck(B_ierr == 0, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to SYGVX Lapack routine %" PetscBLASInt_FMT, B_ierr);
3326: PetscCall(PetscFPTrapPop());
3327: }
3329: nv = 0;
3330: if (sub_schurs->is_vertices && pcbddc->use_vertices) { /* complement set of active subsets, each entry is a vertex (boundary made by active subsets, vertices and dirichlet dofs) */
3331: PetscCall(ISGetLocalSize(sub_schurs->is_vertices, &nv));
3332: }
3333: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(lwork), &B_lwork));
3334: if (allocated_S_St) PetscCall(PetscMalloc2(mss * mss, &S, mss * mss, &St));
3335: PetscCall(PetscMalloc5(mss * mss, &eigv, mss, &eigs, B_lwork, &work, 5 * mss, &B_iwork, mss, &B_ifail));
3336: #if defined(PETSC_USE_COMPLEX)
3337: PetscCall(PetscMalloc1(7 * mss, &rwork));
3338: #endif
3339: PetscCall(PetscMalloc5(nv + sub_schurs->n_subs, &pcbddc->adaptive_constraints_n, nv + sub_schurs->n_subs + 1, &pcbddc->adaptive_constraints_idxs_ptr, nv + sub_schurs->n_subs + 1, &pcbddc->adaptive_constraints_data_ptr, nv + cum, &pcbddc->adaptive_constraints_idxs, nv + cum2,
3340: &pcbddc->adaptive_constraints_data));
3341: PetscCall(PetscArrayzero(pcbddc->adaptive_constraints_n, nv + sub_schurs->n_subs));
3343: maxneigs = 0;
3344: cum = cumarray = 0;
3345: pcbddc->adaptive_constraints_idxs_ptr[0] = 0;
3346: pcbddc->adaptive_constraints_data_ptr[0] = 0;
3347: if (sub_schurs->is_vertices && pcbddc->use_vertices) {
3348: const PetscInt *idxs;
3350: PetscCall(ISGetIndices(sub_schurs->is_vertices, &idxs));
3351: for (cum = 0; cum < nv; cum++) {
3352: pcbddc->adaptive_constraints_n[cum] = 1;
3353: pcbddc->adaptive_constraints_idxs[cum] = idxs[cum];
3354: pcbddc->adaptive_constraints_data[cum] = 1.0;
3355: pcbddc->adaptive_constraints_idxs_ptr[cum + 1] = pcbddc->adaptive_constraints_idxs_ptr[cum] + 1;
3356: pcbddc->adaptive_constraints_data_ptr[cum + 1] = pcbddc->adaptive_constraints_data_ptr[cum] + 1;
3357: }
3358: PetscCall(ISRestoreIndices(sub_schurs->is_vertices, &idxs));
3359: }
3361: if (mss) { /* multilevel */
3362: if (sub_schurs->gdsw) {
3363: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all, &Sarray));
3364: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3365: } else {
3366: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_inv_all, &Sarray));
3367: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3368: }
3369: }
3371: lthresh = pcbddc->adaptive_threshold[0];
3372: uthresh = pcbddc->adaptive_threshold[1];
3373: upart = pcbddc->use_deluxe_scaling;
3374: for (i = 0; i < sub_schurs->n_subs; i++) {
3375: const PetscInt *idxs;
3376: PetscReal upper, lower;
3377: PetscInt j, subset_size, eigs_start = 0;
3378: PetscBLASInt B_N;
3379: PetscBool same_data = PETSC_FALSE;
3380: PetscBool scal = PETSC_FALSE;
3382: if (upart) {
3383: upper = PETSC_MAX_REAL;
3384: lower = uthresh;
3385: } else {
3386: if (sub_schurs->gdsw) {
3387: upper = uthresh;
3388: lower = PETSC_MIN_REAL;
3389: } else {
3390: PetscCheck(sub_schurs->is_posdef, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented without deluxe scaling");
3391: upper = 1. / uthresh;
3392: lower = 0.;
3393: }
3394: }
3395: PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
3396: PetscCall(ISGetIndices(sub_schurs->is_subs[i], &idxs));
3397: PetscCall(PetscBLASIntCast(subset_size, &B_N));
3398: /* this is experimental: we assume the dofs have been properly grouped to have
3399: the diagonal blocks Schur complements either positive or negative definite (true for Stokes) */
3400: if (!sub_schurs->is_posdef) {
3401: Mat T;
3403: for (j = 0; j < subset_size; j++) {
3404: if (PetscRealPart(*(Sarray + cumarray + j * (subset_size + 1))) < 0.0) {
3405: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, subset_size, subset_size, Sarray + cumarray, &T));
3406: PetscCall(MatScale(T, -1.0));
3407: PetscCall(MatDestroy(&T));
3408: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, subset_size, subset_size, Starray + cumarray, &T));
3409: PetscCall(MatScale(T, -1.0));
3410: PetscCall(MatDestroy(&T));
3411: if (sub_schurs->change_primal_sub) {
3412: PetscInt nz, k;
3413: const PetscInt *idxs;
3415: PetscCall(ISGetLocalSize(sub_schurs->change_primal_sub[i], &nz));
3416: PetscCall(ISGetIndices(sub_schurs->change_primal_sub[i], &idxs));
3417: for (k = 0; k < nz; k++) {
3418: *(Sarray + cumarray + idxs[k] * (subset_size + 1)) *= -1.0;
3419: *(Starray + cumarray + idxs[k] * (subset_size + 1)) = 0.0;
3420: }
3421: PetscCall(ISRestoreIndices(sub_schurs->change_primal_sub[i], &idxs));
3422: }
3423: scal = PETSC_TRUE;
3424: break;
3425: }
3426: }
3427: }
3429: if (allocated_S_St) { /* S and S_t should be copied since we could need them later */
3430: if (sub_schurs->is_symmetric) {
3431: PetscInt j, k;
3432: if (sub_schurs->n_subs == 1) { /* zeroing memory to use PetscArraycmp() later */
3433: PetscCall(PetscArrayzero(S, subset_size * subset_size));
3434: PetscCall(PetscArrayzero(St, subset_size * subset_size));
3435: }
3436: for (j = 0; j < subset_size; j++) {
3437: for (k = j; k < subset_size; k++) {
3438: S[j * subset_size + k] = Sarray[cumarray + j * subset_size + k];
3439: St[j * subset_size + k] = Starray[cumarray + j * subset_size + k];
3440: }
3441: }
3442: } else {
3443: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3444: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3445: }
3446: } else {
3447: S = Sarray + cumarray;
3448: St = Starray + cumarray;
3449: }
3450: /* see if we can save some work */
3451: if (sub_schurs->n_subs == 1 && pcbddc->use_deluxe_scaling) PetscCall(PetscArraycmp(S, St, subset_size * subset_size, &same_data));
3453: if (same_data && !sub_schurs->change) { /* there's no need of constraints here */
3454: B_neigs = 0;
3455: } else {
3456: PetscBLASInt B_itype = 1;
3457: PetscBLASInt B_IL, B_IU;
3458: PetscReal eps = -1.0; /* dlamch? */
3459: PetscInt nmin_s;
3460: PetscBool compute_range;
3462: PetscCheck(sub_schurs->is_symmetric, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
3463: B_neigs = 0;
3464: compute_range = (PetscBool)!same_data;
3465: if (nmin >= subset_size) compute_range = PETSC_FALSE;
3467: if (pcbddc->dbg_flag) {
3468: PetscInt nc = 0, c = pcbddc->mat_graph->nodes[idxs[0]].count, w = pcbddc->mat_graph->nodes[idxs[0]].which_dof;
3470: if (sub_schurs->change_primal_sub) PetscCall(ISGetLocalSize(sub_schurs->change_primal_sub[i], &nc));
3471: PetscCall(
3472: PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Computing for sub %" PetscInt_FMT "/%" PetscInt_FMT " size %" PetscInt_FMT " count %" PetscInt_FMT " fid %" PetscInt_FMT " (range %d) (change %" PetscInt_FMT ").\n", i, sub_schurs->n_subs, subset_size, c, w, compute_range, nc));
3473: }
3475: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
3476: if (compute_range) {
3477: /* ask for eigenvalues larger than thresh */
3478: if (sub_schurs->is_posdef) {
3479: #if defined(PETSC_USE_COMPLEX)
3480: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3481: #else
3482: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3483: #endif
3484: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3485: } else { /* no theory so far, but it works nicely */
3486: PetscInt recipe = 0, recipe_m = 1;
3487: PetscReal bb[2];
3489: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)pc)->prefix, "-pc_bddc_adaptive_recipe", &recipe, NULL));
3490: switch (recipe) {
3491: case 0:
3492: if (scal) {
3493: bb[0] = PETSC_MIN_REAL;
3494: bb[1] = lthresh;
3495: } else {
3496: bb[0] = uthresh;
3497: bb[1] = PETSC_MAX_REAL;
3498: }
3499: #if defined(PETSC_USE_COMPLEX)
3500: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3501: #else
3502: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3503: #endif
3504: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3505: break;
3506: case 1:
3507: bb[0] = PETSC_MIN_REAL;
3508: bb[1] = lthresh * lthresh;
3509: #if defined(PETSC_USE_COMPLEX)
3510: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3511: #else
3512: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3513: #endif
3514: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3515: if (!scal) {
3516: PetscBLASInt B_neigs2 = 0;
3518: bb[0] = PetscMax(lthresh * lthresh, uthresh);
3519: bb[1] = PETSC_MAX_REAL;
3520: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3521: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3522: #if defined(PETSC_USE_COMPLEX)
3523: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3524: #else
3525: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3526: #endif
3527: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3528: B_neigs += B_neigs2;
3529: }
3530: break;
3531: case 2:
3532: if (scal) {
3533: bb[0] = PETSC_MIN_REAL;
3534: bb[1] = 0;
3535: #if defined(PETSC_USE_COMPLEX)
3536: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3537: #else
3538: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3539: #endif
3540: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3541: } else {
3542: PetscBLASInt B_neigs2 = 0;
3543: PetscBool do_copy = PETSC_FALSE;
3545: lthresh = PetscMax(lthresh, 0.0);
3546: if (lthresh > 0.0) {
3547: bb[0] = PETSC_MIN_REAL;
3548: bb[1] = lthresh * lthresh;
3550: do_copy = PETSC_TRUE;
3551: #if defined(PETSC_USE_COMPLEX)
3552: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3553: #else
3554: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3555: #endif
3556: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3557: }
3558: bb[0] = PetscMax(lthresh * lthresh, uthresh);
3559: bb[1] = PETSC_MAX_REAL;
3560: if (do_copy) {
3561: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3562: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3563: }
3564: #if defined(PETSC_USE_COMPLEX)
3565: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3566: #else
3567: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3568: #endif
3569: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3570: B_neigs += B_neigs2;
3571: }
3572: break;
3573: case 3:
3574: if (scal) {
3575: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)pc)->prefix, "-pc_bddc_adaptive_recipe3_min_scal", &recipe_m, NULL));
3576: } else {
3577: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)pc)->prefix, "-pc_bddc_adaptive_recipe3_min", &recipe_m, NULL));
3578: }
3579: if (!scal) {
3580: bb[0] = uthresh;
3581: bb[1] = PETSC_MAX_REAL;
3582: #if defined(PETSC_USE_COMPLEX)
3583: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3584: #else
3585: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3586: #endif
3587: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3588: }
3589: if (recipe_m > 0 && B_N - B_neigs > 0) {
3590: PetscBLASInt B_neigs2 = 0;
3592: B_IL = 1;
3593: PetscCall(PetscBLASIntCast(PetscMin(recipe_m, B_N - B_neigs), &B_IU));
3594: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3595: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3596: #if defined(PETSC_USE_COMPLEX)
3597: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "I", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3598: #else
3599: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "I", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3600: #endif
3601: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3602: B_neigs += B_neigs2;
3603: }
3604: break;
3605: case 4:
3606: bb[0] = PETSC_MIN_REAL;
3607: bb[1] = lthresh;
3608: #if defined(PETSC_USE_COMPLEX)
3609: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3610: #else
3611: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3612: #endif
3613: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3614: {
3615: PetscBLASInt B_neigs2 = 0;
3617: bb[0] = PetscMax(lthresh + PETSC_SMALL, uthresh);
3618: bb[1] = PETSC_MAX_REAL;
3619: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3620: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3621: #if defined(PETSC_USE_COMPLEX)
3622: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3623: #else
3624: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3625: #endif
3626: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3627: B_neigs += B_neigs2;
3628: }
3629: break;
3630: case 5: /* same as before: first compute all eigenvalues, then filter */
3631: #if defined(PETSC_USE_COMPLEX)
3632: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "A", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3633: #else
3634: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "A", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3635: #endif
3636: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3637: {
3638: PetscInt e, k, ne;
3639: for (e = 0, ne = 0; e < B_neigs; e++) {
3640: if (eigs[e] < lthresh || eigs[e] > uthresh) {
3641: for (k = 0; k < B_N; k++) S[ne * B_N + k] = eigv[e * B_N + k];
3642: eigs[ne] = eigs[e];
3643: ne++;
3644: }
3645: }
3646: PetscCall(PetscArraycpy(eigv, S, B_N * ne));
3647: PetscCall(PetscBLASIntCast(ne, &B_neigs));
3648: }
3649: break;
3650: default:
3651: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_SUP, "Unknown recipe %" PetscInt_FMT, recipe);
3652: }
3653: }
3654: } else if (!same_data) { /* this is just to see all the eigenvalues */
3655: PetscCall(PetscBLASIntCast(PetscMax(1, PetscMin(B_N, nmax)), &B_IU));
3656: B_IL = 1;
3657: #if defined(PETSC_USE_COMPLEX)
3658: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "I", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3659: #else
3660: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "I", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3661: #endif
3662: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3663: } else { /* same_data is true, so just get the adaptive functional requested by the user */
3664: PetscInt k;
3665: PetscCheck(sub_schurs->change_primal_sub, PETSC_COMM_SELF, PETSC_ERR_PLIB, "This should not happen");
3666: PetscCall(ISGetLocalSize(sub_schurs->change_primal_sub[i], &nmax));
3667: PetscCall(PetscBLASIntCast(nmax, &B_neigs));
3668: nmin = nmax;
3669: PetscCall(PetscArrayzero(eigv, subset_size * nmax));
3670: for (k = 0; k < nmax; k++) {
3671: eigs[k] = 1. / PETSC_SMALL;
3672: eigv[k * (subset_size + 1)] = 1.0;
3673: }
3674: }
3675: PetscCall(PetscFPTrapPop());
3676: if (B_ierr) {
3677: PetscCheck(B_ierr >= 0, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: illegal value for argument %" PetscBLASInt_FMT, -B_ierr);
3678: PetscCheck(B_ierr > B_N, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: %" PetscBLASInt_FMT " eigenvalues failed to converge", B_ierr);
3679: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: leading minor of order %" PetscBLASInt_FMT " is not positive definite", B_ierr - B_N - 1);
3680: }
3682: if (B_neigs > nmax) {
3683: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " found %" PetscBLASInt_FMT " eigs, more than maximum required %" PetscInt_FMT ".\n", B_neigs, nmax));
3684: if (upart) eigs_start = scal ? 0 : B_neigs - nmax;
3685: PetscCall(PetscBLASIntCast(nmax, &B_neigs));
3686: }
3688: nmin_s = PetscMin(nmin, B_N);
3689: if (B_neigs < nmin_s) {
3690: PetscBLASInt B_neigs2 = 0;
3692: if (upart) {
3693: if (scal) {
3694: PetscCall(PetscBLASIntCast(nmin_s, &B_IU));
3695: B_IL = B_neigs + 1;
3696: } else {
3697: PetscCall(PetscBLASIntCast(B_N - nmin_s + 1, &B_IL));
3698: B_IU = B_N - B_neigs;
3699: }
3700: } else {
3701: B_IL = B_neigs + 1;
3702: PetscCall(PetscBLASIntCast(nmin_s, &B_IU));
3703: }
3704: if (pcbddc->dbg_flag) {
3705: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " found %" PetscBLASInt_FMT " eigs, less than minimum required %" PetscInt_FMT ". Asking for %" PetscBLASInt_FMT " to %" PetscBLASInt_FMT " incl (fortran like)\n", B_neigs, nmin, B_IL, B_IU));
3706: }
3707: if (sub_schurs->is_symmetric) {
3708: PetscInt j, k;
3709: for (j = 0; j < subset_size; j++) {
3710: for (k = j; k < subset_size; k++) {
3711: S[j * subset_size + k] = Sarray[cumarray + j * subset_size + k];
3712: St[j * subset_size + k] = Starray[cumarray + j * subset_size + k];
3713: }
3714: }
3715: } else {
3716: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3717: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3718: }
3719: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
3720: #if defined(PETSC_USE_COMPLEX)
3721: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "I", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * subset_size, &B_N, work, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3722: #else
3723: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "I", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * subset_size, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3724: #endif
3725: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3726: PetscCall(PetscFPTrapPop());
3727: B_neigs += B_neigs2;
3728: }
3729: if (B_ierr) {
3730: PetscCheck(B_ierr >= 0, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: illegal value for argument %" PetscBLASInt_FMT, -B_ierr);
3731: PetscCheck(B_ierr > B_N, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: %" PetscBLASInt_FMT " eigenvalues failed to converge", B_ierr);
3732: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: leading minor of order %" PetscBLASInt_FMT " is not positive definite", B_ierr - B_N - 1);
3733: }
3734: if (pcbddc->dbg_flag) {
3735: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " -> Got %" PetscBLASInt_FMT " eigs\n", B_neigs));
3736: for (j = 0; j < B_neigs; j++) {
3737: if (!sub_schurs->gdsw) {
3738: if (eigs[j] == 0.0) {
3739: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " Inf\n"));
3740: } else {
3741: if (upart) {
3742: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.6e\n", (double)eigs[j + eigs_start]));
3743: } else {
3744: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.6e\n", (double)(1 / eigs[j + eigs_start])));
3745: }
3746: }
3747: } else {
3748: double pg = (double)eigs[j + eigs_start];
3749: if (pg < 2 * PETSC_SMALL) pg = 0.0;
3750: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.6e\n", pg));
3751: }
3752: }
3753: }
3754: }
3755: /* change the basis back to the original one */
3756: if (sub_schurs->change) {
3757: Mat change, phi, phit;
3759: if (pcbddc->dbg_flag > 2) {
3760: PetscInt ii;
3761: for (ii = 0; ii < B_neigs; ii++) {
3762: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " -> Eigenvector (old basis) %" PetscInt_FMT "/%" PetscBLASInt_FMT " (%" PetscBLASInt_FMT ")\n", ii, B_neigs, B_N));
3763: for (j = 0; j < B_N; j++) {
3764: #if defined(PETSC_USE_COMPLEX)
3765: PetscReal r = PetscRealPart(eigv[(ii + eigs_start) * subset_size + j]);
3766: PetscReal c = PetscImaginaryPart(eigv[(ii + eigs_start) * subset_size + j]);
3767: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e + %1.4e i\n", (double)r, (double)c));
3768: #else
3769: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e\n", (double)(eigv[(ii + eigs_start) * subset_size + j])));
3770: #endif
3771: }
3772: }
3773: }
3774: PetscCall(KSPGetOperators(sub_schurs->change[i], &change, NULL));
3775: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, subset_size, B_neigs, eigv + eigs_start * subset_size, &phit));
3776: PetscCall(MatMatMult(change, phit, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &phi));
3777: PetscCall(MatCopy(phi, phit, SAME_NONZERO_PATTERN));
3778: PetscCall(MatDestroy(&phit));
3779: PetscCall(MatDestroy(&phi));
3780: }
3781: maxneigs = PetscMax(B_neigs, maxneigs);
3782: pcbddc->adaptive_constraints_n[i + nv] = B_neigs;
3783: if (B_neigs) {
3784: PetscCall(PetscArraycpy(pcbddc->adaptive_constraints_data + pcbddc->adaptive_constraints_data_ptr[cum], eigv + eigs_start * subset_size, B_neigs * subset_size));
3786: if (pcbddc->dbg_flag > 1) {
3787: PetscInt ii;
3788: for (ii = 0; ii < B_neigs; ii++) {
3789: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " -> Eigenvector %" PetscInt_FMT "/%" PetscBLASInt_FMT " (%" PetscBLASInt_FMT ")\n", ii, B_neigs, B_N));
3790: for (j = 0; j < B_N; j++) {
3791: #if defined(PETSC_USE_COMPLEX)
3792: PetscReal r = PetscRealPart(pcbddc->adaptive_constraints_data[ii * subset_size + j + pcbddc->adaptive_constraints_data_ptr[cum]]);
3793: PetscReal c = PetscImaginaryPart(pcbddc->adaptive_constraints_data[ii * subset_size + j + pcbddc->adaptive_constraints_data_ptr[cum]]);
3794: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e + %1.4e i\n", (double)r, (double)c));
3795: #else
3796: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e\n", (double)PetscRealPart(pcbddc->adaptive_constraints_data[ii * subset_size + j + pcbddc->adaptive_constraints_data_ptr[cum]])));
3797: #endif
3798: }
3799: }
3800: }
3801: PetscCall(PetscArraycpy(pcbddc->adaptive_constraints_idxs + pcbddc->adaptive_constraints_idxs_ptr[cum], idxs, subset_size));
3802: pcbddc->adaptive_constraints_idxs_ptr[cum + 1] = pcbddc->adaptive_constraints_idxs_ptr[cum] + subset_size;
3803: pcbddc->adaptive_constraints_data_ptr[cum + 1] = pcbddc->adaptive_constraints_data_ptr[cum] + subset_size * B_neigs;
3804: cum++;
3805: }
3806: PetscCall(ISRestoreIndices(sub_schurs->is_subs[i], &idxs));
3807: /* shift for next computation */
3808: cumarray += subset_size * subset_size;
3809: }
3810: if (pcbddc->dbg_flag) PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
3812: if (mss) {
3813: if (sub_schurs->gdsw) {
3814: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all, &Sarray));
3815: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3816: } else {
3817: PetscCall(MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_inv_all, &Sarray));
3818: PetscCall(MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3819: /* destroy matrices (junk) */
3820: PetscCall(MatDestroy(&sub_schurs->sum_S_Ej_inv_all));
3821: PetscCall(MatDestroy(&sub_schurs->sum_S_Ej_tilda_all));
3822: }
3823: }
3824: if (allocated_S_St) PetscCall(PetscFree2(S, St));
3825: PetscCall(PetscFree5(eigv, eigs, work, B_iwork, B_ifail));
3826: #if defined(PETSC_USE_COMPLEX)
3827: PetscCall(PetscFree(rwork));
3828: #endif
3829: if (pcbddc->dbg_flag) {
3830: PetscInt maxneigs_r;
3831: PetscCallMPI(MPIU_Allreduce(&maxneigs, &maxneigs_r, 1, MPIU_INT, MPI_MAX, PetscObjectComm((PetscObject)pc)));
3832: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Maximum number of constraints per cc %" PetscInt_FMT "\n", maxneigs_r));
3833: }
3834: PetscCall(PetscLogEventEnd(PC_BDDC_AdaptiveSetUp[pcbddc->current_level], pc, 0, 0, 0));
3835: PetscFunctionReturn(PETSC_SUCCESS);
3836: }
3838: PetscErrorCode PCBDDCSetUpSolvers(PC pc)
3839: {
3840: Mat coarse_submat;
3842: PetscFunctionBegin;
3843: /* Setup local scatters R_to_B and (optionally) R_to_D */
3844: /* PCBDDCSetUpLocalWorkVectors should be called first! */
3845: PetscCall(PCBDDCSetUpLocalScatters(pc));
3847: /* Setup local neumann solver ksp_R */
3848: /* PCBDDCSetUpLocalScatters should be called first! */
3849: PetscCall(PCBDDCSetUpLocalSolvers(pc, PETSC_FALSE, PETSC_TRUE));
3851: /*
3852: Setup local correction and local part of coarse basis.
3853: Gives back the dense local part of the coarse matrix in column major ordering
3854: */
3855: PetscCall(PCBDDCSetUpCorrection(pc, &coarse_submat));
3857: /* Compute total number of coarse nodes and setup coarse solver */
3858: PetscCall(PCBDDCSetUpCoarseSolver(pc, coarse_submat));
3859: PetscCall(MatDestroy(&coarse_submat));
3860: PetscFunctionReturn(PETSC_SUCCESS);
3861: }
3863: PetscErrorCode PCBDDCResetCustomization(PC pc)
3864: {
3865: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3867: PetscFunctionBegin;
3868: PetscCall(ISDestroy(&pcbddc->user_primal_vertices));
3869: PetscCall(ISDestroy(&pcbddc->user_primal_vertices_local));
3870: PetscCall(ISDestroy(&pcbddc->NeumannBoundaries));
3871: PetscCall(ISDestroy(&pcbddc->NeumannBoundariesLocal));
3872: PetscCall(ISDestroy(&pcbddc->DirichletBoundaries));
3873: PetscCall(MatNullSpaceDestroy(&pcbddc->onearnullspace));
3874: PetscCall(PetscFree(pcbddc->onearnullvecs_state));
3875: PetscCall(ISDestroy(&pcbddc->DirichletBoundariesLocal));
3876: PetscCall(PCBDDCSetDofsSplitting(pc, 0, NULL));
3877: PetscCall(PCBDDCSetDofsSplittingLocal(pc, 0, NULL));
3878: PetscFunctionReturn(PETSC_SUCCESS);
3879: }
3881: PetscErrorCode PCBDDCResetTopography(PC pc)
3882: {
3883: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3884: PetscInt i;
3886: PetscFunctionBegin;
3887: PetscCall(MatDestroy(&pcbddc->nedcG));
3888: PetscCall(ISDestroy(&pcbddc->nedclocal));
3889: PetscCall(MatDestroy(&pcbddc->discretegradient));
3890: PetscCall(MatDestroy(&pcbddc->user_ChangeOfBasisMatrix));
3891: PetscCall(MatDestroy(&pcbddc->ChangeOfBasisMatrix));
3892: PetscCall(MatDestroy(&pcbddc->switch_static_change));
3893: PetscCall(VecDestroy(&pcbddc->work_change));
3894: PetscCall(MatDestroy(&pcbddc->ConstraintMatrix));
3895: PetscCall(MatDestroy(&pcbddc->divudotp));
3896: PetscCall(ISDestroy(&pcbddc->divudotp_vl2l));
3897: PetscCall(PCBDDCGraphDestroy(&pcbddc->mat_graph));
3898: for (i = 0; i < pcbddc->n_local_subs; i++) PetscCall(ISDestroy(&pcbddc->local_subs[i]));
3899: pcbddc->n_local_subs = 0;
3900: PetscCall(PetscFree(pcbddc->local_subs));
3901: PetscCall(PCBDDCSubSchursDestroy(&pcbddc->sub_schurs));
3902: pcbddc->graphanalyzed = PETSC_FALSE;
3903: pcbddc->recompute_topography = PETSC_TRUE;
3904: pcbddc->corner_selected = PETSC_FALSE;
3905: PetscFunctionReturn(PETSC_SUCCESS);
3906: }
3908: PetscErrorCode PCBDDCResetSolvers(PC pc)
3909: {
3910: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3912: PetscFunctionBegin;
3913: PetscCall(VecDestroy(&pcbddc->coarse_vec));
3914: PetscCall(MatDestroy(&pcbddc->coarse_phi_B));
3915: PetscCall(MatDestroy(&pcbddc->coarse_phi_D));
3916: PetscCall(MatDestroy(&pcbddc->coarse_psi_B));
3917: PetscCall(MatDestroy(&pcbddc->coarse_psi_D));
3918: PetscCall(VecDestroy(&pcbddc->vec1_P));
3919: PetscCall(VecDestroy(&pcbddc->vec1_C));
3920: PetscCall(MatDestroy(&pcbddc->local_auxmat2));
3921: PetscCall(MatDestroy(&pcbddc->local_auxmat1));
3922: PetscCall(VecDestroy(&pcbddc->vec1_R));
3923: PetscCall(VecDestroy(&pcbddc->vec2_R));
3924: PetscCall(ISDestroy(&pcbddc->is_R_local));
3925: PetscCall(VecScatterDestroy(&pcbddc->R_to_B));
3926: PetscCall(VecScatterDestroy(&pcbddc->R_to_D));
3927: PetscCall(VecScatterDestroy(&pcbddc->coarse_loc_to_glob));
3928: PetscCall(KSPReset(pcbddc->ksp_D));
3929: PetscCall(KSPReset(pcbddc->ksp_R));
3930: PetscCall(KSPReset(pcbddc->coarse_ksp));
3931: PetscCall(MatDestroy(&pcbddc->local_mat));
3932: PetscCall(PetscFree(pcbddc->primal_indices_local_idxs));
3933: PetscCall(PetscFree2(pcbddc->local_primal_ref_node, pcbddc->local_primal_ref_mult));
3934: PetscCall(PetscFree(pcbddc->global_primal_indices));
3935: PetscCall(ISDestroy(&pcbddc->coarse_subassembling));
3936: PetscCall(MatDestroy(&pcbddc->benign_change));
3937: PetscCall(VecDestroy(&pcbddc->benign_vec));
3938: PetscCall(PCBDDCBenignShellMat(pc, PETSC_TRUE));
3939: PetscCall(MatDestroy(&pcbddc->benign_B0));
3940: PetscCall(PetscSFDestroy(&pcbddc->benign_sf));
3941: if (pcbddc->benign_zerodiag_subs) {
3942: PetscInt i;
3943: for (i = 0; i < pcbddc->benign_n; i++) PetscCall(ISDestroy(&pcbddc->benign_zerodiag_subs[i]));
3944: PetscCall(PetscFree(pcbddc->benign_zerodiag_subs));
3945: }
3946: PetscCall(PetscFree3(pcbddc->benign_p0_lidx, pcbddc->benign_p0_gidx, pcbddc->benign_p0));
3947: PetscFunctionReturn(PETSC_SUCCESS);
3948: }
3950: PetscErrorCode PCBDDCSetUpLocalWorkVectors(PC pc)
3951: {
3952: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3953: PC_IS *pcis = (PC_IS *)pc->data;
3954: VecType impVecType;
3955: PetscInt n_constraints, n_R, old_size;
3957: PetscFunctionBegin;
3958: n_constraints = pcbddc->local_primal_size - pcbddc->benign_n - pcbddc->n_vertices;
3959: n_R = pcis->n - pcbddc->n_vertices;
3960: PetscCall(VecGetType(pcis->vec1_N, &impVecType));
3961: /* local work vectors (try to avoid unneeded work)*/
3962: /* R nodes */
3963: old_size = -1;
3964: if (pcbddc->vec1_R) PetscCall(VecGetSize(pcbddc->vec1_R, &old_size));
3965: if (n_R != old_size) {
3966: PetscCall(VecDestroy(&pcbddc->vec1_R));
3967: PetscCall(VecDestroy(&pcbddc->vec2_R));
3968: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &pcbddc->vec1_R));
3969: PetscCall(VecSetSizes(pcbddc->vec1_R, PETSC_DECIDE, n_R));
3970: PetscCall(VecSetType(pcbddc->vec1_R, impVecType));
3971: PetscCall(VecDuplicate(pcbddc->vec1_R, &pcbddc->vec2_R));
3972: }
3973: /* local primal dofs */
3974: old_size = -1;
3975: if (pcbddc->vec1_P) PetscCall(VecGetSize(pcbddc->vec1_P, &old_size));
3976: if (pcbddc->local_primal_size != old_size) {
3977: PetscCall(VecDestroy(&pcbddc->vec1_P));
3978: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &pcbddc->vec1_P));
3979: PetscCall(VecSetSizes(pcbddc->vec1_P, PETSC_DECIDE, pcbddc->local_primal_size));
3980: PetscCall(VecSetType(pcbddc->vec1_P, impVecType));
3981: }
3982: /* local explicit constraints */
3983: old_size = -1;
3984: if (pcbddc->vec1_C) PetscCall(VecGetSize(pcbddc->vec1_C, &old_size));
3985: if (n_constraints && n_constraints != old_size) {
3986: PetscCall(VecDestroy(&pcbddc->vec1_C));
3987: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &pcbddc->vec1_C));
3988: PetscCall(VecSetSizes(pcbddc->vec1_C, PETSC_DECIDE, n_constraints));
3989: PetscCall(VecSetType(pcbddc->vec1_C, impVecType));
3990: }
3991: PetscFunctionReturn(PETSC_SUCCESS);
3992: }
3994: static PetscErrorCode MatSetValuesSubMat(Mat A, Mat S, PetscInt nr, const PetscInt rows[], PetscInt nc, const PetscInt cols[], InsertMode imode)
3995: {
3996: PetscBool flg;
3997: const PetscScalar *a;
3999: PetscFunctionBegin;
4000: PetscCall(PetscObjectBaseTypeCompare((PetscObject)S, MATSEQDENSE, &flg));
4001: if (flg) {
4002: PetscCall(MatDenseGetArrayRead(S, &a));
4003: PetscCall(MatSetOption(A, MAT_ROW_ORIENTED, PETSC_FALSE));
4004: PetscCall(MatSetValues(A, nr, rows, nc, cols, a, imode));
4005: PetscCall(MatSetOption(A, MAT_ROW_ORIENTED, PETSC_TRUE));
4006: PetscCall(MatDenseRestoreArrayRead(S, &a));
4007: } else {
4008: const PetscInt *ii, *jj;
4009: PetscInt n;
4010: PetscInt buf[8192], *bufc = NULL;
4011: PetscBool freeb = PETSC_FALSE;
4012: Mat Sm = S;
4014: PetscCall(PetscObjectBaseTypeCompare((PetscObject)S, MATSEQAIJ, &flg));
4015: if (!flg) PetscCall(MatConvert(S, MATSEQAIJ, MAT_INITIAL_MATRIX, &Sm));
4016: else PetscCall(PetscObjectReference((PetscObject)S));
4017: PetscCall(MatSeqAIJGetArrayRead(Sm, &a));
4018: PetscCall(MatGetRowIJ(Sm, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg));
4019: PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Cannot get IJ structure");
4020: if (nc <= (PetscInt)PETSC_STATIC_ARRAY_LENGTH(buf)) {
4021: bufc = buf;
4022: } else {
4023: PetscCall(PetscMalloc1(nc, &bufc));
4024: freeb = PETSC_TRUE;
4025: }
4027: for (PetscInt i = 0; i < n; i++) {
4028: const PetscInt nci = ii[i + 1] - ii[i];
4030: for (PetscInt j = 0; j < nci; j++) bufc[j] = cols[jj[ii[i] + j]];
4031: PetscCall(MatSetValues(A, 1, rows + i, nci, bufc, a + ii[i], imode));
4032: }
4033: PetscCall(MatRestoreRowIJ(Sm, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg));
4034: PetscCall(MatSeqAIJRestoreArrayRead(Sm, &a));
4035: PetscCall(MatDestroy(&Sm));
4036: if (freeb) PetscCall(PetscFree(bufc));
4037: }
4038: PetscCall(MatAssemblyBegin(A, MAT_FLUSH_ASSEMBLY));
4039: PetscCall(MatAssemblyEnd(A, MAT_FLUSH_ASSEMBLY));
4040: PetscFunctionReturn(PETSC_SUCCESS);
4041: }
4043: static PetscErrorCode MatCreateSeqAIJFromDenseExpand(Mat D, PetscInt n, const PetscInt j[], Mat *mat)
4044: {
4045: Mat_SeqAIJ *aij;
4046: PetscInt *ii, *jj;
4047: PetscScalar *aa;
4048: PetscInt nnz = 0, m, nc;
4049: const PetscScalar *a;
4050: const PetscScalar zero = 0.0;
4052: PetscFunctionBegin;
4053: PetscCall(MatGetLocalSize(D, &m, &nc));
4054: PetscCall(MatDenseGetArrayRead(D, &a));
4055: PetscCall(PetscMalloc1(m + 1, &ii));
4056: PetscCall(PetscMalloc1(m * nc, &jj));
4057: PetscCall(PetscMalloc1(m * nc, &aa));
4058: ii[0] = 0;
4059: for (PetscInt k = 0; k < m; k++) {
4060: for (PetscInt s = 0; s < nc; s++) {
4061: const PetscInt c = s + k * nc;
4062: const PetscScalar v = a[k + s * m];
4064: if (PetscUnlikely(j[c] < 0 || v == zero)) continue;
4065: jj[nnz] = j[c];
4066: aa[nnz] = a[k + s * m];
4067: nnz++;
4068: }
4069: ii[k + 1] = nnz;
4070: }
4072: PetscCall(MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)D), m, n, ii, jj, aa, mat));
4073: PetscCall(MatDenseRestoreArrayRead(D, &a));
4075: aij = (Mat_SeqAIJ *)(*mat)->data;
4076: aij->free_a = PETSC_TRUE;
4077: aij->free_ij = PETSC_TRUE;
4078: PetscFunctionReturn(PETSC_SUCCESS);
4079: }
4081: /* adapted from MatInvertVariableBlockDiagonal_SeqAIJ */
4082: static PetscErrorCode MatSeqAIJInvertVariableBlockDiagonalMat(Mat A, PetscInt nblocks, const PetscInt *bsizes, Mat *B)
4083: {
4084: PetscInt n = A->rmap->n, ncnt = 0, ncnt2 = 0, bsizemax = 0, *v_pivots = NULL;
4085: const PetscBool allowzeropivot = PETSC_FALSE;
4086: PetscBool zeropivotdetected = PETSC_FALSE;
4087: const PetscReal shift = 0.0;
4088: PetscInt ipvt[5], *ii, *jj, *indi, *indj;
4089: PetscScalar work[25], *v_work = NULL, *aa, *diag;
4090: PetscLogDouble flops = 0.0;
4092: PetscFunctionBegin;
4093: PetscCheck(A->rmap->n == A->cmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Not for rectangular matrices");
4094: for (PetscInt i = 0; i < nblocks; i++) {
4095: ncnt += bsizes[i];
4096: ncnt2 += PetscSqr(bsizes[i]);
4097: }
4098: PetscCheck(ncnt == n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Total blocksizes %" PetscInt_FMT " doesn't match number matrix rows %" PetscInt_FMT, ncnt, n);
4099: for (PetscInt i = 0; i < nblocks; i++) bsizemax = PetscMax(bsizemax, bsizes[i]);
4100: if (bsizemax > 7) PetscCall(PetscMalloc2(bsizemax, &v_work, bsizemax, &v_pivots));
4102: PetscCall(PetscMalloc1(n + 1, &ii));
4103: PetscCall(PetscMalloc1(ncnt2, &jj));
4104: PetscCall(PetscCalloc1(ncnt2, &aa));
4106: ncnt = 0;
4107: ii[0] = 0;
4108: indi = ii;
4109: indj = jj;
4110: diag = aa;
4111: for (PetscInt i = 0; i < nblocks; i++) {
4112: const PetscInt bs = bsizes[i];
4114: for (PetscInt k = 0; k < bs; k++) {
4115: indi[k + 1] = indi[k] + bs;
4116: for (PetscInt j = 0; j < bs; j++) indj[k * bs + j] = ncnt + j;
4117: }
4118: PetscCall(MatGetValues(A, bs, indj, bs, indj, diag));
4119: switch (bs) {
4120: case 1:
4121: *diag = 1.0 / (*diag);
4122: break;
4123: case 2:
4124: PetscCall(PetscKernel_A_gets_inverse_A_2(diag, shift, allowzeropivot, &zeropivotdetected));
4125: break;
4126: case 3:
4127: PetscCall(PetscKernel_A_gets_inverse_A_3(diag, shift, allowzeropivot, &zeropivotdetected));
4128: break;
4129: case 4:
4130: PetscCall(PetscKernel_A_gets_inverse_A_4(diag, shift, allowzeropivot, &zeropivotdetected));
4131: break;
4132: case 5:
4133: PetscCall(PetscKernel_A_gets_inverse_A_5(diag, ipvt, work, shift, allowzeropivot, &zeropivotdetected));
4134: break;
4135: case 6:
4136: PetscCall(PetscKernel_A_gets_inverse_A_6(diag, shift, allowzeropivot, &zeropivotdetected));
4137: break;
4138: case 7:
4139: PetscCall(PetscKernel_A_gets_inverse_A_7(diag, shift, allowzeropivot, &zeropivotdetected));
4140: break;
4141: default:
4142: PetscCall(PetscKernel_A_gets_inverse_A(bs, diag, v_pivots, v_work, allowzeropivot, &zeropivotdetected));
4143: }
4144: ncnt += bs;
4145: flops += 2.0 * PetscPowInt(bs, 3) / 3.0;
4146: diag += bs * bs;
4147: indj += bs * bs;
4148: indi += bs;
4149: }
4150: PetscCall(PetscLogFlops(flops));
4151: PetscCall(PetscFree2(v_work, v_pivots));
4152: PetscCall(MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A), n, n, ii, jj, aa, B));
4153: {
4154: Mat_SeqAIJ *aij = (Mat_SeqAIJ *)(*B)->data;
4155: aij->free_a = PETSC_TRUE;
4156: aij->free_ij = PETSC_TRUE;
4157: }
4158: PetscFunctionReturn(PETSC_SUCCESS);
4159: }
4161: static PetscErrorCode MatDenseScatter(Mat A, PetscSF sf, Mat B)
4162: {
4163: const PetscScalar *rarr;
4164: PetscScalar *larr;
4165: PetscSF vsf;
4166: PetscInt n, rld, lld;
4168: PetscFunctionBegin;
4169: PetscCall(MatGetSize(A, NULL, &n));
4170: PetscCall(MatDenseGetLDA(A, &rld));
4171: PetscCall(MatDenseGetLDA(B, &lld));
4172: PetscCall(MatDenseGetArrayRead(A, &rarr));
4173: PetscCall(MatDenseGetArrayWrite(B, &larr));
4174: PetscCall(PetscSFCreateStridedSF(sf, n, rld, lld, &vsf));
4175: PetscCall(PetscSFBcastBegin(vsf, MPIU_SCALAR, rarr, larr, MPI_REPLACE));
4176: PetscCall(PetscSFBcastEnd(vsf, MPIU_SCALAR, rarr, larr, MPI_REPLACE));
4177: PetscCall(MatDenseRestoreArrayRead(A, &rarr));
4178: PetscCall(MatDenseRestoreArrayWrite(B, &larr));
4179: PetscCall(PetscSFDestroy(&vsf));
4180: PetscFunctionReturn(PETSC_SUCCESS);
4181: }
4183: PetscErrorCode PCBDDCSetUpCorrection(PC pc, Mat *coarse_submat)
4184: {
4185: PC_IS *pcis = (PC_IS *)pc->data;
4186: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
4187: PCBDDCGraph graph = pcbddc->mat_graph;
4188: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
4189: /* submatrices of local problem */
4190: Mat A_RV = NULL, A_VR, A_VV, local_auxmat2_R = NULL;
4191: /* submatrices of local coarse problem */
4192: Mat S_CV = NULL, S_VC = NULL, S_CC = NULL;
4193: /* working matrices */
4194: Mat C_CR;
4196: /* additional working stuff */
4197: PC pc_R;
4198: IS is_R, is_V, is_C;
4199: const PetscInt *idx_V, *idx_C;
4200: Mat F, Brhs = NULL;
4201: Vec dummy_vec;
4202: PetscBool isLU, isCHOL, need_benign_correction, sparserhs;
4203: PetscInt *idx_V_B;
4204: PetscInt lda_rhs, n_vertices, n_constraints, *p0_lidx_I;
4205: PetscInt n_eff_vertices, n_eff_constraints;
4206: PetscInt i, n_R, n_D, n_B;
4207: PetscScalar one = 1.0, m_one = -1.0;
4209: /* Multi-element support */
4210: PetscBool multi_element = graph->multi_element;
4211: PetscInt *V_to_eff_V = NULL, *C_to_eff_C = NULL;
4212: PetscInt *B_eff_V_J = NULL, *R_eff_V_J = NULL, *B_eff_C_J = NULL, *R_eff_C_J = NULL;
4213: IS is_C_perm = NULL;
4214: PetscInt n_C_bss = 0, *C_bss = NULL;
4215: Mat coarse_phi_multi;
4217: PetscFunctionBegin;
4218: PetscCheck(pcbddc->symmetric_primal || !pcbddc->benign_n, PETSC_COMM_SELF, PETSC_ERR_SUP, "Non-symmetric primal basis computation with benign trick not yet implemented");
4219: PetscCall(PetscLogEventBegin(PC_BDDC_CorrectionSetUp[pcbddc->current_level], pc, 0, 0, 0));
4221: /* Set Non-overlapping dimensions */
4222: n_vertices = pcbddc->n_vertices;
4223: n_constraints = pcbddc->local_primal_size - pcbddc->benign_n - n_vertices;
4224: n_B = pcis->n_B;
4225: n_D = pcis->n - n_B;
4226: n_R = pcis->n - n_vertices;
4228: /* vertices in boundary numbering */
4229: PetscCall(PetscMalloc1(n_vertices, &idx_V_B));
4230: PetscCall(ISGlobalToLocalMappingApply(pcis->BtoNmap, IS_GTOLM_DROP, n_vertices, pcbddc->local_primal_ref_node, &i, idx_V_B));
4231: PetscCheck(i == n_vertices, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in boundary numbering for BDDC vertices! %" PetscInt_FMT " != %" PetscInt_FMT, n_vertices, i);
4233: /* these two cases still need to be optimized */
4234: if (pcbddc->benign_saddle_point || !pcbddc->symmetric_primal) multi_element = PETSC_FALSE;
4236: /* Subdomain contribution (Non-overlapping) to coarse matrix */
4237: if (multi_element) {
4238: PetscCheck(!pcbddc->benign_n, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
4240: PetscCall(MatCreate(PETSC_COMM_SELF, coarse_submat));
4241: PetscCall(MatSetSizes(*coarse_submat, pcbddc->local_primal_size, pcbddc->local_primal_size, pcbddc->local_primal_size, pcbddc->local_primal_size));
4242: PetscCall(MatSetType(*coarse_submat, MATSEQAIJ));
4243: PetscCall(MatSetOption(*coarse_submat, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE));
4244: PetscCall(MatSetOption(*coarse_submat, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
4246: /* group vertices and constraints by subdomain id */
4247: const PetscInt *vidxs = pcbddc->primal_indices_local_idxs;
4248: const PetscInt *cidxs = pcbddc->primal_indices_local_idxs + n_vertices;
4249: PetscInt *count_eff, *V_eff_to_V, *C_eff_to_C, *nnz;
4250: PetscInt n_el = PetscMax(graph->n_local_subs, 1);
4252: PetscCall(PetscCalloc1(2 * n_el, &count_eff));
4253: PetscCall(PetscMalloc1(n_vertices, &V_to_eff_V));
4254: PetscCall(PetscMalloc1(n_constraints, &C_to_eff_C));
4255: for (PetscInt i = 0; i < n_vertices; i++) {
4256: PetscInt s = 2 * graph->nodes[vidxs[i]].local_sub;
4258: V_to_eff_V[i] = count_eff[s];
4259: count_eff[s] += 1;
4260: }
4261: for (PetscInt i = 0; i < n_constraints; i++) {
4262: PetscInt s = 2 * graph->nodes[cidxs[i]].local_sub + 1;
4264: C_to_eff_C[i] = count_eff[s];
4265: count_eff[s] += 1;
4266: }
4268: /* preallocation */
4269: PetscCall(PetscMalloc1(n_vertices + n_constraints, &nnz));
4270: for (PetscInt i = 0; i < n_vertices; i++) {
4271: PetscInt s = 2 * graph->nodes[vidxs[i]].local_sub;
4273: nnz[i] = count_eff[s] + count_eff[s + 1];
4274: }
4275: for (PetscInt i = 0; i < n_constraints; i++) {
4276: PetscInt s = 2 * graph->nodes[cidxs[i]].local_sub;
4278: nnz[i + n_vertices] = count_eff[s] + count_eff[s + 1];
4279: }
4280: PetscCall(MatSeqAIJSetPreallocation(*coarse_submat, 0, nnz));
4281: PetscCall(PetscFree(nnz));
4283: n_eff_vertices = 0;
4284: n_eff_constraints = 0;
4285: for (PetscInt i = 0; i < n_el; i++) {
4286: n_eff_vertices = PetscMax(n_eff_vertices, count_eff[2 * i]);
4287: n_eff_constraints = PetscMax(n_eff_constraints, count_eff[2 * i + 1]);
4288: count_eff[2 * i] = 0;
4289: count_eff[2 * i + 1] = 0;
4290: }
4292: const PetscInt *idx;
4293: PetscCall(PetscMalloc2(n_el * n_eff_vertices, &V_eff_to_V, n_el * n_eff_constraints, &C_eff_to_C));
4295: for (PetscInt i = 0; i < n_vertices; i++) {
4296: const PetscInt e = graph->nodes[vidxs[i]].local_sub;
4297: const PetscInt s = 2 * e;
4299: V_eff_to_V[e * n_eff_vertices + count_eff[s]] = i;
4300: count_eff[s] += 1;
4301: }
4302: for (PetscInt i = 0; i < n_constraints; i++) {
4303: const PetscInt e = graph->nodes[cidxs[i]].local_sub;
4304: const PetscInt s = 2 * e + 1;
4306: C_eff_to_C[e * n_eff_constraints + count_eff[s]] = i;
4307: count_eff[s] += 1;
4308: }
4310: PetscCall(PetscMalloc1(n_R * n_eff_vertices, &R_eff_V_J));
4311: PetscCall(PetscMalloc1(n_R * n_eff_constraints, &R_eff_C_J));
4312: PetscCall(PetscMalloc1(n_B * n_eff_vertices, &B_eff_V_J));
4313: PetscCall(PetscMalloc1(n_B * n_eff_constraints, &B_eff_C_J));
4314: for (PetscInt i = 0; i < n_R * n_eff_vertices; i++) R_eff_V_J[i] = -1;
4315: for (PetscInt i = 0; i < n_R * n_eff_constraints; i++) R_eff_C_J[i] = -1;
4316: for (PetscInt i = 0; i < n_B * n_eff_vertices; i++) B_eff_V_J[i] = -1;
4317: for (PetscInt i = 0; i < n_B * n_eff_constraints; i++) B_eff_C_J[i] = -1;
4319: PetscCall(ISGetIndices(pcbddc->is_R_local, &idx));
4320: for (PetscInt i = 0; i < n_R; i++) {
4321: const PetscInt e = graph->nodes[idx[i]].local_sub;
4322: const PetscInt s = 2 * e;
4323: PetscInt j;
4325: for (j = 0; j < count_eff[s]; j++) R_eff_V_J[i * n_eff_vertices + j] = V_eff_to_V[e * n_eff_vertices + j];
4326: for (j = 0; j < count_eff[s + 1]; j++) R_eff_C_J[i * n_eff_constraints + j] = C_eff_to_C[e * n_eff_constraints + j];
4327: }
4328: PetscCall(ISRestoreIndices(pcbddc->is_R_local, &idx));
4329: PetscCall(ISGetIndices(pcis->is_B_local, &idx));
4330: for (PetscInt i = 0; i < n_B; i++) {
4331: const PetscInt e = graph->nodes[idx[i]].local_sub;
4332: const PetscInt s = 2 * e;
4333: PetscInt j;
4335: for (j = 0; j < count_eff[s]; j++) B_eff_V_J[i * n_eff_vertices + j] = V_eff_to_V[e * n_eff_vertices + j];
4336: for (j = 0; j < count_eff[s + 1]; j++) B_eff_C_J[i * n_eff_constraints + j] = C_eff_to_C[e * n_eff_constraints + j];
4337: }
4338: PetscCall(ISRestoreIndices(pcis->is_B_local, &idx));
4340: /* permutation and blocksizes for block invert of S_CC */
4341: PetscInt *idxp;
4343: PetscCall(PetscMalloc1(n_constraints, &idxp));
4344: PetscCall(PetscMalloc1(n_el, &C_bss));
4345: n_C_bss = 0;
4346: for (PetscInt e = 0, cnt = 0; e < n_el; e++) {
4347: const PetscInt nc = count_eff[2 * e + 1];
4349: if (nc) C_bss[n_C_bss++] = nc;
4350: for (PetscInt c = 0; c < nc; c++) { idxp[cnt + c] = C_eff_to_C[e * n_eff_constraints + c]; }
4351: cnt += nc;
4352: }
4354: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, n_constraints, idxp, PETSC_OWN_POINTER, &is_C_perm));
4356: PetscCall(PetscFree2(V_eff_to_V, C_eff_to_C));
4357: PetscCall(PetscFree(count_eff));
4358: } else {
4359: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, pcbddc->local_primal_size, pcbddc->local_primal_size, NULL, coarse_submat));
4360: n_eff_constraints = n_constraints;
4361: n_eff_vertices = n_vertices;
4362: }
4364: /* determine if can use MatSolve routines instead of calling KSPSolve on ksp_R */
4365: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_R));
4366: PetscCall(PCSetUp(pc_R));
4367: PetscCall(PetscObjectTypeCompare((PetscObject)pc_R, PCLU, &isLU));
4368: PetscCall(PetscObjectTypeCompare((PetscObject)pc_R, PCCHOLESKY, &isCHOL));
4369: lda_rhs = n_R;
4370: need_benign_correction = PETSC_FALSE;
4371: if (isLU || isCHOL) {
4372: PetscCall(PCFactorGetMatrix(pc_R, &F));
4373: } else if (sub_schurs && sub_schurs->reuse_solver) {
4374: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4375: MatFactorType type;
4377: F = reuse_solver->F;
4378: PetscCall(MatGetFactorType(F, &type));
4379: if (type == MAT_FACTOR_CHOLESKY) isCHOL = PETSC_TRUE;
4380: if (type == MAT_FACTOR_LU) isLU = PETSC_TRUE;
4381: PetscCall(MatGetSize(F, &lda_rhs, NULL));
4382: need_benign_correction = (PetscBool)(!!reuse_solver->benign_n);
4383: } else F = NULL;
4385: /* determine if we can use a sparse right-hand side */
4386: sparserhs = PETSC_FALSE;
4387: if (F && !multi_element) {
4388: MatSolverType solver;
4390: PetscCall(MatFactorGetSolverType(F, &solver));
4391: PetscCall(PetscStrcmp(solver, MATSOLVERMUMPS, &sparserhs));
4392: }
4394: /* create dummy vector to modify rhs and sol of MatMatSolve (work array will never be used) */
4395: dummy_vec = NULL;
4396: if (need_benign_correction && lda_rhs != n_R && F) {
4397: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &dummy_vec));
4398: PetscCall(VecSetSizes(dummy_vec, lda_rhs, PETSC_DECIDE));
4399: PetscCall(VecSetType(dummy_vec, ((PetscObject)pcis->vec1_N)->type_name));
4400: }
4402: PetscCall(MatDestroy(&pcbddc->local_auxmat1));
4403: PetscCall(MatDestroy(&pcbddc->local_auxmat2));
4405: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_R, 0, 1, &is_R));
4406: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_vertices, 0, 1, &is_V));
4407: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_constraints, n_vertices, 1, &is_C));
4408: PetscCall(ISGetIndices(is_V, &idx_V));
4409: PetscCall(ISGetIndices(is_C, &idx_C));
4411: /* Precompute stuffs needed for preprocessing and application of BDDC*/
4412: if (n_constraints) {
4413: Mat C_B;
4415: /* Extract constraints on R nodes: C_{CR} */
4416: PetscCall(MatCreateSubMatrix(pcbddc->ConstraintMatrix, is_C, pcbddc->is_R_local, MAT_INITIAL_MATRIX, &C_CR));
4417: PetscCall(MatCreateSubMatrix(pcbddc->ConstraintMatrix, is_C, pcis->is_B_local, MAT_INITIAL_MATRIX, &C_B));
4419: /* Assemble local_auxmat2_R = (- A_{RR}^{-1} C^T_{CR}) needed by BDDC setup */
4420: /* Assemble pcbddc->local_auxmat2 = R_to_B (- A_{RR}^{-1} C^T_{CR}) needed by BDDC application */
4421: if (!sparserhs) {
4422: PetscScalar *marr;
4424: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_constraints, NULL, &Brhs));
4425: PetscCall(MatDenseGetArrayWrite(Brhs, &marr));
4426: for (i = 0; i < n_constraints; i++) {
4427: const PetscScalar *row_cmat_values;
4428: const PetscInt *row_cmat_indices;
4429: PetscInt size_of_constraint, j, col = C_to_eff_C ? C_to_eff_C[i] : i;
4431: PetscCall(MatGetRow(C_CR, i, &size_of_constraint, &row_cmat_indices, &row_cmat_values));
4432: for (j = 0; j < size_of_constraint; j++) marr[row_cmat_indices[j] + col * lda_rhs] = -row_cmat_values[j];
4433: PetscCall(MatRestoreRow(C_CR, i, &size_of_constraint, &row_cmat_indices, &row_cmat_values));
4434: }
4435: PetscCall(MatDenseRestoreArrayWrite(Brhs, &marr));
4436: } else {
4437: Mat tC_CR;
4439: PetscCall(MatScale(C_CR, -1.0));
4440: if (lda_rhs != n_R) {
4441: PetscScalar *aa;
4442: PetscInt r, *ii, *jj;
4443: PetscBool done;
4445: PetscCall(MatGetRowIJ(C_CR, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4446: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "GetRowIJ failed");
4447: PetscCall(MatSeqAIJGetArray(C_CR, &aa));
4448: PetscCall(MatCreateSeqAIJWithArrays(PETSC_COMM_SELF, n_constraints, lda_rhs, ii, jj, aa, &tC_CR));
4449: PetscCall(MatRestoreRowIJ(C_CR, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4450: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "RestoreRowIJ failed");
4451: } else {
4452: PetscCall(PetscObjectReference((PetscObject)C_CR));
4453: tC_CR = C_CR;
4454: }
4455: PetscCall(MatCreateTranspose(tC_CR, &Brhs));
4456: PetscCall(MatDestroy(&tC_CR));
4457: }
4458: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_constraints, NULL, &local_auxmat2_R));
4459: if (F) {
4460: if (need_benign_correction) {
4461: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4463: /* rhs is already zero on interior dofs, no need to change the rhs */
4464: PetscCall(PetscArrayzero(reuse_solver->benign_save_vals, pcbddc->benign_n));
4465: }
4466: PetscCall(MatMatSolve(F, Brhs, local_auxmat2_R));
4467: if (need_benign_correction) {
4468: PetscScalar *marr;
4469: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4471: /* XXX multi_element? */
4472: PetscCall(MatDenseGetArray(local_auxmat2_R, &marr));
4473: if (lda_rhs != n_R) {
4474: for (i = 0; i < n_eff_constraints; i++) {
4475: PetscCall(VecPlaceArray(dummy_vec, marr + i * lda_rhs));
4476: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, dummy_vec, NULL, PETSC_TRUE, PETSC_TRUE));
4477: PetscCall(VecResetArray(dummy_vec));
4478: }
4479: } else {
4480: for (i = 0; i < n_eff_constraints; i++) {
4481: PetscCall(VecPlaceArray(pcbddc->vec1_R, marr + i * lda_rhs));
4482: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, pcbddc->vec1_R, NULL, PETSC_TRUE, PETSC_TRUE));
4483: PetscCall(VecResetArray(pcbddc->vec1_R));
4484: }
4485: }
4486: PetscCall(MatDenseRestoreArray(local_auxmat2_R, &marr));
4487: }
4488: } else {
4489: const PetscScalar *barr;
4490: PetscScalar *marr;
4492: PetscCall(MatDenseGetArrayRead(Brhs, &barr));
4493: PetscCall(MatDenseGetArray(local_auxmat2_R, &marr));
4494: for (i = 0; i < n_eff_constraints; i++) {
4495: PetscCall(VecPlaceArray(pcbddc->vec1_R, barr + i * lda_rhs));
4496: PetscCall(VecPlaceArray(pcbddc->vec2_R, marr + i * lda_rhs));
4497: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
4498: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
4499: PetscCall(VecResetArray(pcbddc->vec1_R));
4500: PetscCall(VecResetArray(pcbddc->vec2_R));
4501: }
4502: PetscCall(MatDenseRestoreArrayRead(Brhs, &barr));
4503: PetscCall(MatDenseRestoreArray(local_auxmat2_R, &marr));
4504: }
4505: if (sparserhs) PetscCall(MatScale(C_CR, -1.0));
4506: PetscCall(MatDestroy(&Brhs));
4507: /* Assemble explicitly S_CC = ( C_{CR} A_{RR}^{-1} C^T_{CR})^{-1} */
4508: if (!pcbddc->switch_static) {
4509: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, n_eff_constraints, NULL, &pcbddc->local_auxmat2));
4510: for (i = 0; i < n_eff_constraints; i++) {
4511: Vec r, b;
4512: PetscCall(MatDenseGetColumnVecRead(local_auxmat2_R, i, &r));
4513: PetscCall(MatDenseGetColumnVec(pcbddc->local_auxmat2, i, &b));
4514: PetscCall(VecScatterBegin(pcbddc->R_to_B, r, b, INSERT_VALUES, SCATTER_FORWARD));
4515: PetscCall(VecScatterEnd(pcbddc->R_to_B, r, b, INSERT_VALUES, SCATTER_FORWARD));
4516: PetscCall(MatDenseRestoreColumnVec(pcbddc->local_auxmat2, i, &b));
4517: PetscCall(MatDenseRestoreColumnVecRead(local_auxmat2_R, i, &r));
4518: }
4519: if (multi_element) {
4520: Mat T;
4522: PetscCall(MatCreateSeqAIJFromDenseExpand(local_auxmat2_R, n_constraints, R_eff_C_J, &T));
4523: PetscCall(MatDestroy(&local_auxmat2_R));
4524: local_auxmat2_R = T;
4525: PetscCall(MatCreateSeqAIJFromDenseExpand(pcbddc->local_auxmat2, n_constraints, B_eff_C_J, &T));
4526: PetscCall(MatDestroy(&pcbddc->local_auxmat2));
4527: pcbddc->local_auxmat2 = T;
4528: }
4529: PetscCall(MatMatMult(C_B, pcbddc->local_auxmat2, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &S_CC));
4530: } else {
4531: if (multi_element) {
4532: Mat T;
4534: PetscCall(MatCreateSeqAIJFromDenseExpand(local_auxmat2_R, n_constraints, R_eff_C_J, &T));
4535: PetscCall(MatDestroy(&local_auxmat2_R));
4536: local_auxmat2_R = T;
4537: }
4538: if (lda_rhs != n_R) {
4539: PetscCall(MatCreateSubMatrix(local_auxmat2_R, is_R, NULL, MAT_INITIAL_MATRIX, &pcbddc->local_auxmat2));
4540: } else {
4541: PetscCall(PetscObjectReference((PetscObject)local_auxmat2_R));
4542: pcbddc->local_auxmat2 = local_auxmat2_R;
4543: }
4544: PetscCall(MatMatMult(C_CR, pcbddc->local_auxmat2, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &S_CC));
4545: }
4546: PetscCall(MatScale(S_CC, m_one));
4547: if (multi_element) {
4548: Mat T, T2;
4549: IS isp, ispi;
4551: isp = is_C_perm;
4553: PetscCall(ISInvertPermutation(isp, PETSC_DECIDE, &ispi));
4554: PetscCall(MatPermute(S_CC, isp, isp, &T));
4555: PetscCall(MatSeqAIJInvertVariableBlockDiagonalMat(T, n_C_bss, C_bss, &T2));
4556: PetscCall(MatDestroy(&T));
4557: PetscCall(MatDestroy(&S_CC));
4558: PetscCall(MatPermute(T2, ispi, ispi, &S_CC));
4559: PetscCall(MatDestroy(&T2));
4560: PetscCall(ISDestroy(&ispi));
4561: } else {
4562: if (isCHOL) {
4563: PetscCall(MatCholeskyFactor(S_CC, NULL, NULL));
4564: } else {
4565: PetscCall(MatLUFactor(S_CC, NULL, NULL, NULL));
4566: }
4567: PetscCall(MatSeqDenseInvertFactors_Private(S_CC));
4568: }
4569: /* Assemble local_auxmat1 = S_CC*C_{CB} needed by BDDC application in KSP and in preproc */
4570: PetscCall(MatMatMult(S_CC, C_B, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &pcbddc->local_auxmat1));
4571: PetscCall(MatDestroy(&C_B));
4572: PetscCall(MatSetValuesSubMat(*coarse_submat, S_CC, n_constraints, idx_C, n_constraints, idx_C, INSERT_VALUES));
4573: }
4575: /* Get submatrices from subdomain matrix */
4576: if (n_vertices) {
4577: #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA)
4578: PetscBool oldpin;
4579: #endif
4580: IS is_aux;
4582: if (sub_schurs && sub_schurs->reuse_solver) { /* is_R_local is not sorted, ISComplement doesn't like it */
4583: IS tis;
4585: PetscCall(ISDuplicate(pcbddc->is_R_local, &tis));
4586: PetscCall(ISSort(tis));
4587: PetscCall(ISComplement(tis, 0, pcis->n, &is_aux));
4588: PetscCall(ISDestroy(&tis));
4589: } else {
4590: PetscCall(ISComplement(pcbddc->is_R_local, 0, pcis->n, &is_aux));
4591: }
4592: #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA)
4593: oldpin = pcbddc->local_mat->boundtocpu;
4594: #endif
4595: PetscCall(MatBindToCPU(pcbddc->local_mat, PETSC_TRUE));
4596: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, pcbddc->is_R_local, is_aux, MAT_INITIAL_MATRIX, &A_RV));
4597: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, is_aux, pcbddc->is_R_local, MAT_INITIAL_MATRIX, &A_VR));
4598: /* TODO REMOVE: MatMatMult(A_VR,A_RRmA_RV) below may raise an error */
4599: PetscCall(MatConvert(A_VR, MATSEQAIJ, MAT_INPLACE_MATRIX, &A_VR));
4600: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, is_aux, is_aux, MAT_INITIAL_MATRIX, &A_VV));
4601: #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA)
4602: PetscCall(MatBindToCPU(pcbddc->local_mat, oldpin));
4603: #endif
4604: PetscCall(ISDestroy(&is_aux));
4605: }
4606: PetscCall(ISDestroy(&is_C_perm));
4607: PetscCall(PetscFree(C_bss));
4609: p0_lidx_I = NULL;
4610: if (pcbddc->benign_n && (pcbddc->switch_static || pcbddc->dbg_flag)) {
4611: const PetscInt *idxs;
4613: PetscCall(ISGetIndices(pcis->is_I_local, &idxs));
4614: PetscCall(PetscMalloc1(pcbddc->benign_n, &p0_lidx_I));
4615: for (i = 0; i < pcbddc->benign_n; i++) PetscCall(PetscFindInt(pcbddc->benign_p0_lidx[i], pcis->n - pcis->n_B, idxs, &p0_lidx_I[i]));
4616: PetscCall(ISRestoreIndices(pcis->is_I_local, &idxs));
4617: }
4619: /* We are now ready to evaluate coarse basis functions and subdomain contribution to coarse problem */
4621: /* Matrices of coarse basis functions (local) */
4622: PetscCall(MatDestroy(&pcbddc->coarse_phi_B));
4623: PetscCall(MatDestroy(&pcbddc->coarse_psi_B));
4624: PetscCall(MatDestroy(&pcbddc->coarse_phi_D));
4625: PetscCall(MatDestroy(&pcbddc->coarse_psi_D));
4626: if (!multi_element) {
4627: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, pcbddc->local_primal_size, NULL, &pcbddc->coarse_phi_B));
4628: if (pcbddc->switch_static || pcbddc->dbg_flag) PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_D, pcbddc->local_primal_size, NULL, &pcbddc->coarse_phi_D));
4629: coarse_phi_multi = NULL;
4630: } else { /* Create temporary NEST matrix to hold coarse basis functions blocks */
4631: IS is_rows[2] = {pcbddc->is_R_local, NULL};
4632: IS is_cols[2] = {is_V, is_C};
4634: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, n_vertices, pcbddc->local_primal_ref_node, PETSC_USE_POINTER, &is_rows[1]));
4635: PetscCall(MatCreateNest(PETSC_COMM_SELF, 2, is_rows, 2, is_cols, NULL, &coarse_phi_multi));
4636: PetscCall(ISDestroy(&is_rows[1]));
4637: }
4639: /* vertices */
4640: if (n_vertices) {
4641: PetscBool restoreavr = PETSC_FALSE;
4642: Mat A_RRmA_RV = NULL;
4644: PetscCall(MatSetValuesSubMat(*coarse_submat, A_VV, n_vertices, idx_V, n_vertices, idx_V, ADD_VALUES));
4645: PetscCall(MatDestroy(&A_VV));
4647: if (n_R) {
4648: Mat A_RV_bcorr = NULL, S_VV;
4650: PetscCall(MatScale(A_RV, m_one));
4651: if (need_benign_correction) {
4652: ISLocalToGlobalMapping RtoN;
4653: IS is_p0;
4654: PetscInt *idxs_p0, n;
4656: PetscCall(PetscMalloc1(pcbddc->benign_n, &idxs_p0));
4657: PetscCall(ISLocalToGlobalMappingCreateIS(pcbddc->is_R_local, &RtoN));
4658: PetscCall(ISGlobalToLocalMappingApply(RtoN, IS_GTOLM_DROP, pcbddc->benign_n, pcbddc->benign_p0_lidx, &n, idxs_p0));
4659: PetscCheck(n == pcbddc->benign_n, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in R numbering for benign p0! %" PetscInt_FMT " != %" PetscInt_FMT, n, pcbddc->benign_n);
4660: PetscCall(ISLocalToGlobalMappingDestroy(&RtoN));
4661: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, n, idxs_p0, PETSC_OWN_POINTER, &is_p0));
4662: PetscCall(MatCreateSubMatrix(A_RV, is_p0, NULL, MAT_INITIAL_MATRIX, &A_RV_bcorr));
4663: PetscCall(ISDestroy(&is_p0));
4664: }
4666: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_vertices, NULL, &A_RRmA_RV));
4667: if (!sparserhs || need_benign_correction) {
4668: if (lda_rhs == n_R && !multi_element) {
4669: PetscCall(MatConvert(A_RV, MATDENSE, MAT_INPLACE_MATRIX, &A_RV));
4670: } else {
4671: Mat T;
4672: PetscScalar *av, *array;
4673: const PetscInt *xadj, *adjncy;
4674: PetscInt n;
4675: PetscBool flg_row;
4677: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_vertices, NULL, &T));
4678: PetscCall(MatDenseGetArrayWrite(T, &array));
4679: PetscCall(MatConvert(A_RV, MATSEQAIJ, MAT_INPLACE_MATRIX, &A_RV));
4680: PetscCall(MatGetRowIJ(A_RV, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
4681: PetscCall(MatSeqAIJGetArray(A_RV, &av));
4682: for (i = 0; i < n; i++) {
4683: PetscInt j;
4684: for (j = xadj[i]; j < xadj[i + 1]; j++) array[lda_rhs * (V_to_eff_V ? V_to_eff_V[adjncy[j]] : adjncy[j]) + i] = av[j];
4685: }
4686: PetscCall(MatRestoreRowIJ(A_RV, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
4687: PetscCall(MatDenseRestoreArrayWrite(T, &array));
4688: PetscCall(MatDestroy(&A_RV));
4689: A_RV = T;
4690: }
4691: if (need_benign_correction) {
4692: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4693: PetscScalar *marr;
4695: /* XXX multi_element */
4696: PetscCall(MatDenseGetArray(A_RV, &marr));
4697: /* need \Phi^T A_RV = (I+L)A_RV, L given by
4699: | 0 0 0 | (V)
4700: L = | 0 0 -1 | (P-p0)
4701: | 0 0 -1 | (p0)
4703: */
4704: for (i = 0; i < reuse_solver->benign_n; i++) {
4705: const PetscScalar *vals;
4706: const PetscInt *idxs, *idxs_zero;
4707: PetscInt n, j, nz;
4709: PetscCall(ISGetLocalSize(reuse_solver->benign_zerodiag_subs[i], &nz));
4710: PetscCall(ISGetIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4711: PetscCall(MatGetRow(A_RV_bcorr, i, &n, &idxs, &vals));
4712: for (j = 0; j < n; j++) {
4713: PetscScalar val = vals[j];
4714: PetscInt k, col = idxs[j];
4715: for (k = 0; k < nz; k++) marr[idxs_zero[k] + lda_rhs * col] -= val;
4716: }
4717: PetscCall(MatRestoreRow(A_RV_bcorr, i, &n, &idxs, &vals));
4718: PetscCall(ISRestoreIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4719: }
4720: PetscCall(MatDenseRestoreArray(A_RV, &marr));
4721: }
4722: PetscCall(PetscObjectReference((PetscObject)A_RV));
4723: Brhs = A_RV;
4724: } else {
4725: Mat tA_RVT, A_RVT;
4727: if (!pcbddc->symmetric_primal) {
4728: /* A_RV already scaled by -1 */
4729: PetscCall(MatTranspose(A_RV, MAT_INITIAL_MATRIX, &A_RVT));
4730: } else {
4731: restoreavr = PETSC_TRUE;
4732: PetscCall(MatScale(A_VR, -1.0));
4733: PetscCall(PetscObjectReference((PetscObject)A_VR));
4734: A_RVT = A_VR;
4735: }
4736: if (lda_rhs != n_R) {
4737: PetscScalar *aa;
4738: PetscInt r, *ii, *jj;
4739: PetscBool done;
4741: PetscCall(MatGetRowIJ(A_RVT, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4742: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "GetRowIJ failed");
4743: PetscCall(MatSeqAIJGetArray(A_RVT, &aa));
4744: PetscCall(MatCreateSeqAIJWithArrays(PETSC_COMM_SELF, n_vertices, lda_rhs, ii, jj, aa, &tA_RVT));
4745: PetscCall(MatRestoreRowIJ(A_RVT, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4746: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "RestoreRowIJ failed");
4747: } else {
4748: PetscCall(PetscObjectReference((PetscObject)A_RVT));
4749: tA_RVT = A_RVT;
4750: }
4751: PetscCall(MatCreateTranspose(tA_RVT, &Brhs));
4752: PetscCall(MatDestroy(&tA_RVT));
4753: PetscCall(MatDestroy(&A_RVT));
4754: }
4755: if (F) {
4756: /* need to correct the rhs */
4757: if (need_benign_correction) {
4758: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4759: PetscScalar *marr;
4761: PetscCall(MatDenseGetArray(Brhs, &marr));
4762: if (lda_rhs != n_R) {
4763: for (i = 0; i < n_eff_vertices; i++) {
4764: PetscCall(VecPlaceArray(dummy_vec, marr + i * lda_rhs));
4765: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, dummy_vec, NULL, PETSC_FALSE, PETSC_TRUE));
4766: PetscCall(VecResetArray(dummy_vec));
4767: }
4768: } else {
4769: for (i = 0; i < n_eff_vertices; i++) {
4770: PetscCall(VecPlaceArray(pcbddc->vec1_R, marr + i * lda_rhs));
4771: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, pcbddc->vec1_R, NULL, PETSC_FALSE, PETSC_TRUE));
4772: PetscCall(VecResetArray(pcbddc->vec1_R));
4773: }
4774: }
4775: PetscCall(MatDenseRestoreArray(Brhs, &marr));
4776: }
4777: PetscCall(MatMatSolve(F, Brhs, A_RRmA_RV));
4778: if (restoreavr) PetscCall(MatScale(A_VR, -1.0));
4779: /* need to correct the solution */
4780: if (need_benign_correction) {
4781: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4782: PetscScalar *marr;
4784: PetscCall(MatDenseGetArray(A_RRmA_RV, &marr));
4785: if (lda_rhs != n_R) {
4786: for (i = 0; i < n_eff_vertices; i++) {
4787: PetscCall(VecPlaceArray(dummy_vec, marr + i * lda_rhs));
4788: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, dummy_vec, NULL, PETSC_TRUE, PETSC_TRUE));
4789: PetscCall(VecResetArray(dummy_vec));
4790: }
4791: } else {
4792: for (i = 0; i < n_eff_vertices; i++) {
4793: PetscCall(VecPlaceArray(pcbddc->vec1_R, marr + i * lda_rhs));
4794: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, pcbddc->vec1_R, NULL, PETSC_TRUE, PETSC_TRUE));
4795: PetscCall(VecResetArray(pcbddc->vec1_R));
4796: }
4797: }
4798: PetscCall(MatDenseRestoreArray(A_RRmA_RV, &marr));
4799: }
4800: } else {
4801: const PetscScalar *barr;
4802: PetscScalar *marr;
4804: PetscCall(MatDenseGetArrayRead(Brhs, &barr));
4805: PetscCall(MatDenseGetArray(A_RRmA_RV, &marr));
4806: for (i = 0; i < n_eff_vertices; i++) {
4807: PetscCall(VecPlaceArray(pcbddc->vec1_R, barr + i * lda_rhs));
4808: PetscCall(VecPlaceArray(pcbddc->vec2_R, marr + i * lda_rhs));
4809: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
4810: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
4811: PetscCall(VecResetArray(pcbddc->vec1_R));
4812: PetscCall(VecResetArray(pcbddc->vec2_R));
4813: }
4814: PetscCall(MatDenseRestoreArrayRead(Brhs, &barr));
4815: PetscCall(MatDenseRestoreArray(A_RRmA_RV, &marr));
4816: }
4817: PetscCall(MatDestroy(&A_RV));
4818: PetscCall(MatDestroy(&Brhs));
4819: /* S_VV and S_CV */
4820: if (n_constraints) {
4821: Mat B;
4823: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, n_eff_vertices, NULL, &B));
4824: PetscCall(MatDenseScatter(A_RRmA_RV, pcbddc->R_to_B, B));
4826: /* S_CV = pcbddc->local_auxmat1 * B */
4827: if (multi_element) {
4828: Mat T;
4830: PetscCall(MatCreateSeqAIJFromDenseExpand(B, n_vertices, B_eff_V_J, &T));
4831: PetscCall(MatDestroy(&B));
4832: B = T;
4833: }
4834: PetscCall(MatProductCreate(pcbddc->local_auxmat1, B, NULL, &S_CV));
4835: PetscCall(MatProductSetType(S_CV, MATPRODUCT_AB));
4836: PetscCall(MatProductSetFromOptions(S_CV));
4837: PetscCall(MatProductSymbolic(S_CV));
4838: PetscCall(MatProductNumeric(S_CV));
4839: PetscCall(MatProductClear(S_CV));
4840: PetscCall(MatDestroy(&B));
4842: /* B = local_auxmat2_R * S_CV */
4843: PetscCall(MatProductCreate(local_auxmat2_R, S_CV, NULL, &B));
4844: PetscCall(MatProductSetType(B, MATPRODUCT_AB));
4845: PetscCall(MatProductSetFromOptions(B));
4846: PetscCall(MatProductSymbolic(B));
4847: PetscCall(MatProductNumeric(B));
4849: PetscCall(MatScale(S_CV, m_one));
4850: PetscCall(MatSetValuesSubMat(*coarse_submat, S_CV, n_constraints, idx_C, n_vertices, idx_V, INSERT_VALUES));
4852: if (multi_element) {
4853: Mat T;
4855: PetscCall(MatCreateSeqAIJFromDenseExpand(A_RRmA_RV, n_vertices, R_eff_V_J, &T));
4856: PetscCall(MatDestroy(&A_RRmA_RV));
4857: A_RRmA_RV = T;
4858: }
4859: PetscCall(MatAXPY(A_RRmA_RV, 1.0, B, UNKNOWN_NONZERO_PATTERN)); /* XXX ? */
4860: PetscCall(MatDestroy(&B));
4861: } else if (multi_element) {
4862: Mat T;
4864: PetscCall(MatCreateSeqAIJFromDenseExpand(A_RRmA_RV, n_vertices, R_eff_V_J, &T));
4865: PetscCall(MatDestroy(&A_RRmA_RV));
4866: A_RRmA_RV = T;
4867: }
4869: if (lda_rhs != n_R) {
4870: Mat T;
4872: PetscCall(MatCreateSubMatrix(A_RRmA_RV, is_R, NULL, MAT_INITIAL_MATRIX, &T));
4873: PetscCall(MatDestroy(&A_RRmA_RV));
4874: A_RRmA_RV = T;
4875: }
4877: /* need A_VR * \Phi * A_RRmA_RV = A_VR * (I+L)^T * A_RRmA_RV, L given as before */
4878: if (need_benign_correction) { /* XXX SPARSE */
4879: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4880: PetscScalar *sums;
4881: const PetscScalar *marr;
4883: PetscCall(MatDenseGetArrayRead(A_RRmA_RV, &marr));
4884: PetscCall(PetscMalloc1(n_vertices, &sums));
4885: for (i = 0; i < reuse_solver->benign_n; i++) {
4886: const PetscScalar *vals;
4887: const PetscInt *idxs, *idxs_zero;
4888: PetscInt n, j, nz;
4890: PetscCall(ISGetLocalSize(reuse_solver->benign_zerodiag_subs[i], &nz));
4891: PetscCall(ISGetIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4892: for (j = 0; j < n_vertices; j++) {
4893: sums[j] = 0.;
4894: for (PetscInt k = 0; k < nz; k++) sums[j] += marr[idxs_zero[k] + j * n_R];
4895: }
4896: PetscCall(MatGetRow(A_RV_bcorr, i, &n, &idxs, &vals));
4897: for (j = 0; j < n; j++) {
4898: PetscScalar val = vals[j];
4899: for (PetscInt k = 0; k < n_vertices; k++) PetscCall(MatSetValue(*coarse_submat, idx_V[idxs[j]], idx_V[k], val * sums[k], ADD_VALUES));
4900: }
4901: PetscCall(MatRestoreRow(A_RV_bcorr, i, &n, &idxs, &vals));
4902: PetscCall(ISRestoreIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4903: }
4904: PetscCall(PetscFree(sums));
4905: PetscCall(MatDestroy(&A_RV_bcorr));
4906: PetscCall(MatDenseRestoreArrayRead(A_RRmA_RV, &marr));
4907: }
4909: PetscCall(MatMatMult(A_VR, A_RRmA_RV, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &S_VV));
4910: PetscCall(MatSetValuesSubMat(*coarse_submat, S_VV, n_vertices, idx_V, n_vertices, idx_V, ADD_VALUES));
4911: PetscCall(MatDestroy(&S_VV));
4912: }
4914: /* coarse basis functions */
4915: if (coarse_phi_multi) {
4916: Mat Vid;
4918: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, n_vertices, n_vertices, 1, NULL, &Vid));
4919: PetscCall(MatShift_Basic(Vid, 1.0));
4920: PetscCall(MatNestSetSubMat(coarse_phi_multi, 0, 0, A_RRmA_RV));
4921: PetscCall(MatNestSetSubMat(coarse_phi_multi, 1, 0, Vid));
4922: PetscCall(MatDestroy(&Vid));
4923: } else {
4924: if (A_RRmA_RV) {
4925: PetscCall(MatDenseScatter(A_RRmA_RV, pcbddc->R_to_B, pcbddc->coarse_phi_B));
4926: if (pcbddc->switch_static || pcbddc->dbg_flag) {
4927: PetscCall(MatDenseScatter(A_RRmA_RV, pcbddc->R_to_D, pcbddc->coarse_phi_D));
4928: if (pcbddc->benign_n) {
4929: for (i = 0; i < n_vertices; i++) { PetscCall(MatSetValues(pcbddc->coarse_phi_D, pcbddc->benign_n, p0_lidx_I, 1, &i, NULL, INSERT_VALUES)); }
4930: PetscCall(MatAssemblyBegin(pcbddc->coarse_phi_D, MAT_FINAL_ASSEMBLY));
4931: PetscCall(MatAssemblyEnd(pcbddc->coarse_phi_D, MAT_FINAL_ASSEMBLY));
4932: }
4933: }
4934: }
4935: for (i = 0; i < n_vertices; i++) PetscCall(MatSetValues(pcbddc->coarse_phi_B, 1, &idx_V_B[i], 1, &i, &one, INSERT_VALUES));
4936: PetscCall(MatAssemblyBegin(pcbddc->coarse_phi_B, MAT_FINAL_ASSEMBLY));
4937: PetscCall(MatAssemblyEnd(pcbddc->coarse_phi_B, MAT_FINAL_ASSEMBLY));
4938: }
4939: PetscCall(MatDestroy(&A_RRmA_RV));
4940: }
4941: PetscCall(MatDestroy(&A_RV));
4942: PetscCall(VecDestroy(&dummy_vec));
4944: if (n_constraints) {
4945: Mat B, B2;
4947: PetscCall(MatScale(S_CC, m_one));
4948: PetscCall(MatProductCreate(local_auxmat2_R, S_CC, NULL, &B));
4949: PetscCall(MatProductSetType(B, MATPRODUCT_AB));
4950: PetscCall(MatProductSetFromOptions(B));
4951: PetscCall(MatProductSymbolic(B));
4952: PetscCall(MatProductNumeric(B));
4954: if (n_vertices) {
4955: if (isCHOL || need_benign_correction) { /* if we can solve the interior problem with cholesky, we should also be fine with transposing here */
4956: PetscCall(MatTranspose(S_CV, MAT_INITIAL_MATRIX, &S_VC));
4957: } else {
4958: if (lda_rhs != n_R) {
4959: Mat tB;
4961: PetscCall(MatCreateSubMatrix(B, is_R, NULL, MAT_INITIAL_MATRIX, &tB));
4962: PetscCall(MatDestroy(&B));
4963: B = tB;
4964: }
4965: PetscCall(MatMatMult(A_VR, B, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &S_VC));
4966: }
4967: PetscCall(MatSetValuesSubMat(*coarse_submat, S_VC, n_vertices, idx_V, n_constraints, idx_C, INSERT_VALUES));
4968: }
4970: /* coarse basis functions */
4971: if (coarse_phi_multi) {
4972: PetscCall(MatNestSetSubMat(coarse_phi_multi, 0, 1, B));
4973: } else {
4974: PetscCall(MatDenseGetSubMatrix(pcbddc->coarse_phi_B, PETSC_DECIDE, PETSC_DECIDE, n_vertices, n_vertices + n_constraints, &B2));
4975: PetscCall(MatDenseScatter(B, pcbddc->R_to_B, B2));
4976: PetscCall(MatDenseRestoreSubMatrix(pcbddc->coarse_phi_B, &B2));
4977: if (pcbddc->switch_static || pcbddc->dbg_flag) {
4978: PetscCall(MatDenseGetSubMatrix(pcbddc->coarse_phi_D, PETSC_DECIDE, PETSC_DECIDE, n_vertices, n_vertices + n_constraints, &B2));
4979: PetscCall(MatDenseScatter(B, pcbddc->R_to_D, B2));
4980: if (pcbddc->benign_n) {
4981: for (i = 0; i < n_constraints; i++) { PetscCall(MatSetValues(B2, pcbddc->benign_n, p0_lidx_I, 1, &i, NULL, INSERT_VALUES)); }
4982: }
4983: PetscCall(MatDenseRestoreSubMatrix(pcbddc->coarse_phi_D, &B2));
4984: }
4985: }
4986: PetscCall(MatDestroy(&B));
4987: }
4989: /* assemble sparse coarse basis functions */
4990: if (coarse_phi_multi) {
4991: Mat T;
4993: PetscCall(MatConvert(coarse_phi_multi, MATSEQAIJ, MAT_INITIAL_MATRIX, &T));
4994: PetscCall(MatDestroy(&coarse_phi_multi));
4995: PetscCall(MatCreateSubMatrix(T, pcis->is_B_local, NULL, MAT_INITIAL_MATRIX, &pcbddc->coarse_phi_B));
4996: if (pcbddc->switch_static || pcbddc->dbg_flag) { PetscCall(MatCreateSubMatrix(T, pcis->is_I_local, NULL, MAT_INITIAL_MATRIX, &pcbddc->coarse_phi_D)); }
4997: PetscCall(MatDestroy(&T));
4998: }
4999: PetscCall(MatDestroy(&local_auxmat2_R));
5000: PetscCall(PetscFree(p0_lidx_I));
5002: /* coarse matrix entries relative to B_0 */
5003: if (pcbddc->benign_n) {
5004: Mat B0_B, B0_BPHI;
5005: IS is_dummy;
5006: const PetscScalar *data;
5007: PetscInt j;
5009: PetscCall(ISCreateStride(PETSC_COMM_SELF, pcbddc->benign_n, 0, 1, &is_dummy));
5010: PetscCall(MatCreateSubMatrix(pcbddc->benign_B0, is_dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &B0_B));
5011: PetscCall(ISDestroy(&is_dummy));
5012: PetscCall(MatMatMult(B0_B, pcbddc->coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &B0_BPHI));
5013: PetscCall(MatConvert(B0_BPHI, MATSEQDENSE, MAT_INPLACE_MATRIX, &B0_BPHI));
5014: PetscCall(MatDenseGetArrayRead(B0_BPHI, &data));
5015: for (j = 0; j < pcbddc->benign_n; j++) {
5016: PetscInt primal_idx = pcbddc->local_primal_size - pcbddc->benign_n + j;
5017: for (i = 0; i < pcbddc->local_primal_size; i++) {
5018: PetscCall(MatSetValue(*coarse_submat, primal_idx, i, data[i * pcbddc->benign_n + j], INSERT_VALUES));
5019: PetscCall(MatSetValue(*coarse_submat, i, primal_idx, data[i * pcbddc->benign_n + j], INSERT_VALUES));
5020: }
5021: }
5022: PetscCall(MatDenseRestoreArrayRead(B0_BPHI, &data));
5023: PetscCall(MatDestroy(&B0_B));
5024: PetscCall(MatDestroy(&B0_BPHI));
5025: }
5027: /* compute other basis functions for non-symmetric problems */
5028: if (!pcbddc->symmetric_primal) {
5029: Mat B_V = NULL, B_C = NULL;
5030: PetscScalar *marray, *work;
5032: /* TODO multi_element MatDenseScatter */
5033: if (n_constraints) {
5034: Mat S_CCT, C_CRT;
5036: PetscCall(MatScale(S_CC, m_one));
5037: PetscCall(MatTranspose(C_CR, MAT_INITIAL_MATRIX, &C_CRT));
5038: PetscCall(MatTranspose(S_CC, MAT_INITIAL_MATRIX, &S_CCT));
5039: PetscCall(MatMatMult(C_CRT, S_CCT, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &B_C));
5040: PetscCall(MatConvert(B_C, MATDENSE, MAT_INPLACE_MATRIX, &B_C));
5041: PetscCall(MatDestroy(&S_CCT));
5042: if (n_vertices) {
5043: Mat S_VCT;
5045: PetscCall(MatTranspose(S_VC, MAT_INITIAL_MATRIX, &S_VCT));
5046: PetscCall(MatMatMult(C_CRT, S_VCT, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &B_V));
5047: PetscCall(MatDestroy(&S_VCT));
5048: PetscCall(MatConvert(B_V, MATDENSE, MAT_INPLACE_MATRIX, &B_V));
5049: }
5050: PetscCall(MatDestroy(&C_CRT));
5051: } else {
5052: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_R, n_vertices, NULL, &B_V));
5053: }
5054: if (n_vertices && n_R) {
5055: PetscScalar *av, *marray;
5056: const PetscInt *xadj, *adjncy;
5057: PetscInt n;
5058: PetscBool flg_row;
5060: /* B_V = B_V - A_VR^T */
5061: PetscCall(MatConvert(A_VR, MATSEQAIJ, MAT_INPLACE_MATRIX, &A_VR));
5062: PetscCall(MatGetRowIJ(A_VR, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
5063: PetscCall(MatSeqAIJGetArray(A_VR, &av));
5064: PetscCall(MatDenseGetArray(B_V, &marray));
5065: for (i = 0; i < n; i++) {
5066: PetscInt j;
5067: for (j = xadj[i]; j < xadj[i + 1]; j++) marray[i * n_R + adjncy[j]] -= av[j];
5068: }
5069: PetscCall(MatDenseRestoreArray(B_V, &marray));
5070: PetscCall(MatRestoreRowIJ(A_VR, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
5071: PetscCall(MatDestroy(&A_VR));
5072: }
5074: /* currently there's no support for MatTransposeMatSolve(F,B,X) */
5075: PetscCall(PetscMalloc1(n_R * pcbddc->local_primal_size, &work));
5076: if (n_vertices) {
5077: PetscCall(MatDenseGetArray(B_V, &marray));
5078: for (i = 0; i < n_vertices; i++) {
5079: PetscCall(VecPlaceArray(pcbddc->vec1_R, marray + i * n_R));
5080: PetscCall(VecPlaceArray(pcbddc->vec2_R, work + i * n_R));
5081: PetscCall(KSPSolveTranspose(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
5082: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
5083: PetscCall(VecResetArray(pcbddc->vec1_R));
5084: PetscCall(VecResetArray(pcbddc->vec2_R));
5085: }
5086: PetscCall(MatDenseRestoreArray(B_V, &marray));
5087: }
5088: if (B_C) {
5089: PetscCall(MatDenseGetArray(B_C, &marray));
5090: for (i = n_vertices; i < n_constraints + n_vertices; i++) {
5091: PetscCall(VecPlaceArray(pcbddc->vec1_R, marray + (i - n_vertices) * n_R));
5092: PetscCall(VecPlaceArray(pcbddc->vec2_R, work + i * n_R));
5093: PetscCall(KSPSolveTranspose(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
5094: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
5095: PetscCall(VecResetArray(pcbddc->vec1_R));
5096: PetscCall(VecResetArray(pcbddc->vec2_R));
5097: }
5098: PetscCall(MatDenseRestoreArray(B_C, &marray));
5099: }
5100: /* coarse basis functions */
5101: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, pcbddc->local_primal_size, NULL, &pcbddc->coarse_psi_B));
5102: if (pcbddc->switch_static || pcbddc->dbg_flag) PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_D, pcbddc->local_primal_size, NULL, &pcbddc->coarse_psi_D));
5103: for (i = 0; i < pcbddc->local_primal_size; i++) {
5104: Vec v;
5106: PetscCall(VecPlaceArray(pcbddc->vec1_R, work + i * n_R));
5107: PetscCall(MatDenseGetColumnVec(pcbddc->coarse_psi_B, i, &v));
5108: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5109: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5110: if (i < n_vertices) {
5111: PetscScalar one = 1.0;
5112: PetscCall(VecSetValues(v, 1, &idx_V_B[i], &one, INSERT_VALUES));
5113: PetscCall(VecAssemblyBegin(v));
5114: PetscCall(VecAssemblyEnd(v));
5115: }
5116: PetscCall(MatDenseRestoreColumnVec(pcbddc->coarse_psi_B, i, &v));
5118: if (pcbddc->switch_static || pcbddc->dbg_flag) {
5119: PetscCall(MatDenseGetColumnVec(pcbddc->coarse_psi_D, i, &v));
5120: PetscCall(VecScatterBegin(pcbddc->R_to_D, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5121: PetscCall(VecScatterEnd(pcbddc->R_to_D, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5122: PetscCall(MatDenseRestoreColumnVec(pcbddc->coarse_psi_D, i, &v));
5123: }
5124: PetscCall(VecResetArray(pcbddc->vec1_R));
5125: }
5126: PetscCall(MatDestroy(&B_V));
5127: PetscCall(MatDestroy(&B_C));
5128: PetscCall(PetscFree(work));
5129: } else {
5130: PetscCall(PetscObjectReference((PetscObject)pcbddc->coarse_phi_B));
5131: pcbddc->coarse_psi_B = pcbddc->coarse_phi_B;
5132: PetscCall(PetscObjectReference((PetscObject)pcbddc->coarse_phi_D));
5133: pcbddc->coarse_psi_D = pcbddc->coarse_phi_D;
5134: }
5135: PetscCall(MatAssemblyBegin(*coarse_submat, MAT_FINAL_ASSEMBLY));
5136: PetscCall(MatAssemblyEnd(*coarse_submat, MAT_FINAL_ASSEMBLY));
5138: /* free memory */
5139: PetscCall(PetscFree(V_to_eff_V));
5140: PetscCall(PetscFree(C_to_eff_C));
5141: PetscCall(PetscFree(R_eff_V_J));
5142: PetscCall(PetscFree(R_eff_C_J));
5143: PetscCall(PetscFree(B_eff_V_J));
5144: PetscCall(PetscFree(B_eff_C_J));
5145: PetscCall(ISDestroy(&is_R));
5146: PetscCall(ISRestoreIndices(is_V, &idx_V));
5147: PetscCall(ISRestoreIndices(is_C, &idx_C));
5148: PetscCall(ISDestroy(&is_V));
5149: PetscCall(ISDestroy(&is_C));
5150: PetscCall(PetscFree(idx_V_B));
5151: PetscCall(MatDestroy(&S_CV));
5152: PetscCall(MatDestroy(&S_VC));
5153: PetscCall(MatDestroy(&S_CC));
5154: if (n_vertices) PetscCall(MatDestroy(&A_VR));
5155: if (n_constraints) PetscCall(MatDestroy(&C_CR));
5156: PetscCall(PetscLogEventEnd(PC_BDDC_CorrectionSetUp[pcbddc->current_level], pc, 0, 0, 0));
5158: /* Checking coarse_sub_mat and coarse basis functions */
5159: /* Symmetric case : It should be \Phi^{(j)^T} A^{(j)} \Phi^{(j)}=coarse_sub_mat */
5160: /* Non-symmetric case : It should be \Psi^{(j)^T} A^{(j)} \Phi^{(j)}=coarse_sub_mat */
5161: if (pcbddc->dbg_flag) {
5162: Mat AUXMAT, TM1, TM2, TM3, TM4;
5163: Mat coarse_phi_D, coarse_phi_B;
5164: Mat coarse_psi_D, coarse_psi_B;
5165: Mat A_II, A_BB, A_IB, A_BI;
5166: Mat C_B, CPHI;
5167: IS is_dummy;
5168: Vec mones;
5169: MatType checkmattype = MATSEQAIJ;
5170: PetscReal real_value;
5172: if (pcbddc->benign_n && !pcbddc->benign_change_explicit) {
5173: Mat A;
5174: PetscCall(PCBDDCBenignProject(pc, NULL, NULL, &A));
5175: PetscCall(MatCreateSubMatrix(A, pcis->is_I_local, pcis->is_I_local, MAT_INITIAL_MATRIX, &A_II));
5176: PetscCall(MatCreateSubMatrix(A, pcis->is_I_local, pcis->is_B_local, MAT_INITIAL_MATRIX, &A_IB));
5177: PetscCall(MatCreateSubMatrix(A, pcis->is_B_local, pcis->is_I_local, MAT_INITIAL_MATRIX, &A_BI));
5178: PetscCall(MatCreateSubMatrix(A, pcis->is_B_local, pcis->is_B_local, MAT_INITIAL_MATRIX, &A_BB));
5179: PetscCall(MatDestroy(&A));
5180: } else {
5181: PetscCall(MatConvert(pcis->A_II, checkmattype, MAT_INITIAL_MATRIX, &A_II));
5182: PetscCall(MatConvert(pcis->A_IB, checkmattype, MAT_INITIAL_MATRIX, &A_IB));
5183: PetscCall(MatConvert(pcis->A_BI, checkmattype, MAT_INITIAL_MATRIX, &A_BI));
5184: PetscCall(MatConvert(pcis->A_BB, checkmattype, MAT_INITIAL_MATRIX, &A_BB));
5185: }
5186: PetscCall(MatConvert(pcbddc->coarse_phi_D, checkmattype, MAT_INITIAL_MATRIX, &coarse_phi_D));
5187: PetscCall(MatConvert(pcbddc->coarse_phi_B, checkmattype, MAT_INITIAL_MATRIX, &coarse_phi_B));
5188: if (!pcbddc->symmetric_primal) {
5189: PetscCall(MatConvert(pcbddc->coarse_psi_D, checkmattype, MAT_INITIAL_MATRIX, &coarse_psi_D));
5190: PetscCall(MatConvert(pcbddc->coarse_psi_B, checkmattype, MAT_INITIAL_MATRIX, &coarse_psi_B));
5191: }
5192: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
5193: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Check coarse sub mat computation (symmetric %d)\n", pcbddc->symmetric_primal));
5194: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5195: if (!pcbddc->symmetric_primal) {
5196: PetscCall(MatMatMult(A_II, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5197: PetscCall(MatTransposeMatMult(coarse_psi_D, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM1));
5198: PetscCall(MatDestroy(&AUXMAT));
5199: PetscCall(MatMatMult(A_BB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5200: PetscCall(MatTransposeMatMult(coarse_psi_B, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM2));
5201: PetscCall(MatDestroy(&AUXMAT));
5202: PetscCall(MatMatMult(A_IB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5203: PetscCall(MatTransposeMatMult(coarse_psi_D, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM3));
5204: PetscCall(MatDestroy(&AUXMAT));
5205: PetscCall(MatMatMult(A_BI, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5206: PetscCall(MatTransposeMatMult(coarse_psi_B, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM4));
5207: PetscCall(MatDestroy(&AUXMAT));
5208: } else {
5209: PetscCall(MatPtAP(A_II, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &TM1));
5210: PetscCall(MatPtAP(A_BB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &TM2));
5211: PetscCall(MatMatMult(A_IB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5212: PetscCall(MatTransposeMatMult(coarse_phi_D, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM3));
5213: PetscCall(MatDestroy(&AUXMAT));
5214: PetscCall(MatMatMult(A_BI, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5215: PetscCall(MatTransposeMatMult(coarse_phi_B, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM4));
5216: PetscCall(MatDestroy(&AUXMAT));
5217: }
5218: PetscCall(MatAXPY(TM1, one, TM2, DIFFERENT_NONZERO_PATTERN));
5219: PetscCall(MatAXPY(TM1, one, TM3, DIFFERENT_NONZERO_PATTERN));
5220: PetscCall(MatAXPY(TM1, one, TM4, DIFFERENT_NONZERO_PATTERN));
5221: PetscCall(MatConvert(TM1, MATSEQDENSE, MAT_INPLACE_MATRIX, &TM1));
5222: if (pcbddc->benign_n) {
5223: Mat B0_B, B0_BPHI;
5224: const PetscScalar *data2;
5225: PetscScalar *data;
5226: PetscInt j;
5228: PetscCall(ISCreateStride(PETSC_COMM_SELF, pcbddc->benign_n, 0, 1, &is_dummy));
5229: PetscCall(MatCreateSubMatrix(pcbddc->benign_B0, is_dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &B0_B));
5230: PetscCall(MatMatMult(B0_B, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &B0_BPHI));
5231: PetscCall(MatConvert(B0_BPHI, MATSEQDENSE, MAT_INPLACE_MATRIX, &B0_BPHI));
5232: PetscCall(MatDenseGetArray(TM1, &data));
5233: PetscCall(MatDenseGetArrayRead(B0_BPHI, &data2));
5234: for (j = 0; j < pcbddc->benign_n; j++) {
5235: PetscInt primal_idx = pcbddc->local_primal_size - pcbddc->benign_n + j;
5236: for (i = 0; i < pcbddc->local_primal_size; i++) {
5237: data[primal_idx * pcbddc->local_primal_size + i] += data2[i * pcbddc->benign_n + j];
5238: data[i * pcbddc->local_primal_size + primal_idx] += data2[i * pcbddc->benign_n + j];
5239: }
5240: }
5241: PetscCall(MatDenseRestoreArray(TM1, &data));
5242: PetscCall(MatDenseRestoreArrayRead(B0_BPHI, &data2));
5243: PetscCall(MatDestroy(&B0_B));
5244: PetscCall(ISDestroy(&is_dummy));
5245: PetscCall(MatDestroy(&B0_BPHI));
5246: }
5247: PetscCall(MatAXPY(TM1, m_one, *coarse_submat, DIFFERENT_NONZERO_PATTERN));
5248: PetscCall(MatNorm(TM1, NORM_FROBENIUS, &real_value));
5249: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
5250: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d matrix error % 1.14e\n", PetscGlobalRank, (double)real_value));
5252: /* check constraints */
5253: PetscCall(ISCreateStride(PETSC_COMM_SELF, pcbddc->local_primal_size - pcbddc->benign_n, 0, 1, &is_dummy));
5254: PetscCall(MatCreateSubMatrix(pcbddc->ConstraintMatrix, is_dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &C_B));
5255: if (!pcbddc->benign_n) { /* TODO: add benign case */
5256: PetscCall(MatMatMult(C_B, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &CPHI));
5257: } else {
5258: PetscScalar *data;
5259: Mat tmat;
5260: PetscCall(MatDenseGetArray(pcbddc->coarse_phi_B, &data));
5261: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, pcis->n_B, pcbddc->local_primal_size - pcbddc->benign_n, data, &tmat));
5262: PetscCall(MatDenseRestoreArray(pcbddc->coarse_phi_B, &data));
5263: PetscCall(MatMatMult(C_B, tmat, MAT_INITIAL_MATRIX, 1.0, &CPHI));
5264: PetscCall(MatDestroy(&tmat));
5265: }
5266: PetscCall(MatCreateVecs(CPHI, &mones, NULL));
5267: PetscCall(VecSet(mones, -1.0));
5268: PetscCall(MatDiagonalSet(CPHI, mones, ADD_VALUES));
5269: PetscCall(MatNorm(CPHI, NORM_FROBENIUS, &real_value));
5270: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d phi constraints error % 1.14e\n", PetscGlobalRank, (double)real_value));
5271: if (!pcbddc->symmetric_primal) {
5272: PetscCall(MatMatMult(C_B, coarse_psi_B, MAT_REUSE_MATRIX, 1.0, &CPHI));
5273: PetscCall(VecSet(mones, -1.0));
5274: PetscCall(MatDiagonalSet(CPHI, mones, ADD_VALUES));
5275: PetscCall(MatNorm(CPHI, NORM_FROBENIUS, &real_value));
5276: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d psi constraints error % 1.14e\n", PetscGlobalRank, (double)real_value));
5277: }
5278: PetscCall(MatDestroy(&C_B));
5279: PetscCall(MatDestroy(&CPHI));
5280: PetscCall(ISDestroy(&is_dummy));
5281: PetscCall(VecDestroy(&mones));
5282: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5283: PetscCall(MatDestroy(&A_II));
5284: PetscCall(MatDestroy(&A_BB));
5285: PetscCall(MatDestroy(&A_IB));
5286: PetscCall(MatDestroy(&A_BI));
5287: PetscCall(MatDestroy(&TM1));
5288: PetscCall(MatDestroy(&TM2));
5289: PetscCall(MatDestroy(&TM3));
5290: PetscCall(MatDestroy(&TM4));
5291: PetscCall(MatDestroy(&coarse_phi_D));
5292: PetscCall(MatDestroy(&coarse_phi_B));
5293: if (!pcbddc->symmetric_primal) {
5294: PetscCall(MatDestroy(&coarse_psi_D));
5295: PetscCall(MatDestroy(&coarse_psi_B));
5296: }
5297: }
5299: #if 0
5300: {
5301: PetscViewer viewer;
5302: char filename[256];
5304: PetscCall(PetscSNPrintf(filename, PETSC_STATIC_ARRAY_LENGTH(filename), "details_local_coarse_mat%d_level%d.m",PetscGlobalRank,pcbddc->current_level));
5305: PetscCall(PetscViewerASCIIOpen(PETSC_COMM_SELF,filename,&viewer));
5306: PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
5307: PetscCall(PetscObjectSetName((PetscObject)*coarse_submat,"coarse submat"));
5308: PetscCall(MatView(*coarse_submat,viewer));
5309: if (pcbddc->coarse_phi_B) {
5310: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_phi_B,"phi_B"));
5311: PetscCall(MatView(pcbddc->coarse_phi_B,viewer));
5312: }
5313: if (pcbddc->coarse_phi_D) {
5314: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_phi_D,"phi_D"));
5315: PetscCall(MatView(pcbddc->coarse_phi_D,viewer));
5316: }
5317: if (pcbddc->coarse_psi_B) {
5318: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_psi_B,"psi_B"));
5319: PetscCall(MatView(pcbddc->coarse_psi_B,viewer));
5320: }
5321: if (pcbddc->coarse_psi_D) {
5322: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_psi_D,"psi_D"));
5323: PetscCall(MatView(pcbddc->coarse_psi_D,viewer));
5324: }
5325: PetscCall(PetscObjectSetName((PetscObject)pcbddc->local_mat,"A"));
5326: PetscCall(MatView(pcbddc->local_mat,viewer));
5327: PetscCall(PetscObjectSetName((PetscObject)pcbddc->ConstraintMatrix,"C"));
5328: PetscCall(MatView(pcbddc->ConstraintMatrix,viewer));
5329: PetscCall(PetscObjectSetName((PetscObject)pcis->is_I_local,"I"));
5330: PetscCall(ISView(pcis->is_I_local,viewer));
5331: PetscCall(PetscObjectSetName((PetscObject)pcis->is_B_local,"B"));
5332: PetscCall(ISView(pcis->is_B_local,viewer));
5333: PetscCall(PetscObjectSetName((PetscObject)pcbddc->is_R_local,"R"));
5334: PetscCall(ISView(pcbddc->is_R_local,viewer));
5335: PetscCall(PetscViewerDestroy(&viewer));
5336: }
5337: #endif
5339: /* device support */
5340: {
5341: PetscBool iscuda, iship, iskokkos;
5342: MatType mtype = NULL;
5344: PetscCall(PetscObjectTypeCompareAny((PetscObject)pcis->vec1_N, &iscuda, VECCUDA, VECMPICUDA, VECSEQCUDA, ""));
5345: PetscCall(PetscObjectTypeCompareAny((PetscObject)pcis->vec1_N, &iship, VECHIP, VECMPIHIP, VECSEQHIP, ""));
5346: PetscCall(PetscObjectTypeCompareAny((PetscObject)pcis->vec1_N, &iskokkos, VECKOKKOS, VECMPIKOKKOS, VECSEQKOKKOS, ""));
5347: if (iskokkos) {
5348: if (PetscDefined(HAVE_MACRO_KOKKOS_ENABLE_CUDA)) iscuda = PETSC_TRUE;
5349: else if (PetscDefined(HAVE_MACRO_KOKKOS_ENABLE_HIP)) iship = PETSC_TRUE;
5350: }
5351: if (iskokkos) mtype = multi_element ? MATSEQAIJKOKKOS : (iscuda ? MATSEQDENSECUDA : MATSEQDENSEHIP);
5352: else if (iship) mtype = multi_element ? MATSEQAIJHIPSPARSE : MATSEQDENSEHIP;
5353: else if (iscuda) mtype = multi_element ? MATSEQAIJCUSPARSE : MATSEQDENSECUDA;
5354: if (mtype) {
5355: if (pcbddc->local_auxmat1) PetscCall(MatConvert(pcbddc->local_auxmat1, mtype, MAT_INPLACE_MATRIX, &pcbddc->local_auxmat1));
5356: if (pcbddc->local_auxmat2) PetscCall(MatConvert(pcbddc->local_auxmat2, mtype, MAT_INPLACE_MATRIX, &pcbddc->local_auxmat2));
5357: if (pcbddc->coarse_phi_B) PetscCall(MatConvert(pcbddc->coarse_phi_B, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_phi_B));
5358: if (pcbddc->coarse_phi_D) PetscCall(MatConvert(pcbddc->coarse_phi_D, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_phi_D));
5359: if (pcbddc->coarse_psi_B) PetscCall(MatConvert(pcbddc->coarse_psi_B, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_psi_B));
5360: if (pcbddc->coarse_psi_D) PetscCall(MatConvert(pcbddc->coarse_psi_D, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_psi_D));
5361: }
5362: }
5363: PetscFunctionReturn(PETSC_SUCCESS);
5364: }
5366: PetscErrorCode MatCreateSubMatrixUnsorted(Mat A, IS isrow, IS iscol, Mat *B)
5367: {
5368: Mat *work_mat;
5369: IS isrow_s, iscol_s;
5370: PetscBool rsorted, csorted;
5371: PetscInt rsize, *idxs_perm_r = NULL, csize, *idxs_perm_c = NULL;
5373: PetscFunctionBegin;
5374: PetscCall(ISSorted(isrow, &rsorted));
5375: PetscCall(ISSorted(iscol, &csorted));
5376: PetscCall(ISGetLocalSize(isrow, &rsize));
5377: PetscCall(ISGetLocalSize(iscol, &csize));
5379: if (!rsorted) {
5380: const PetscInt *idxs;
5381: PetscInt *idxs_sorted, i;
5383: PetscCall(PetscMalloc1(rsize, &idxs_perm_r));
5384: PetscCall(PetscMalloc1(rsize, &idxs_sorted));
5385: for (i = 0; i < rsize; i++) idxs_perm_r[i] = i;
5386: PetscCall(ISGetIndices(isrow, &idxs));
5387: PetscCall(PetscSortIntWithPermutation(rsize, idxs, idxs_perm_r));
5388: for (i = 0; i < rsize; i++) idxs_sorted[i] = idxs[idxs_perm_r[i]];
5389: PetscCall(ISRestoreIndices(isrow, &idxs));
5390: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, rsize, idxs_sorted, PETSC_OWN_POINTER, &isrow_s));
5391: } else {
5392: PetscCall(PetscObjectReference((PetscObject)isrow));
5393: isrow_s = isrow;
5394: }
5396: if (!csorted) {
5397: if (isrow == iscol) {
5398: PetscCall(PetscObjectReference((PetscObject)isrow_s));
5399: iscol_s = isrow_s;
5400: } else {
5401: const PetscInt *idxs;
5402: PetscInt *idxs_sorted, i;
5404: PetscCall(PetscMalloc1(csize, &idxs_perm_c));
5405: PetscCall(PetscMalloc1(csize, &idxs_sorted));
5406: for (i = 0; i < csize; i++) idxs_perm_c[i] = i;
5407: PetscCall(ISGetIndices(iscol, &idxs));
5408: PetscCall(PetscSortIntWithPermutation(csize, idxs, idxs_perm_c));
5409: for (i = 0; i < csize; i++) idxs_sorted[i] = idxs[idxs_perm_c[i]];
5410: PetscCall(ISRestoreIndices(iscol, &idxs));
5411: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, csize, idxs_sorted, PETSC_OWN_POINTER, &iscol_s));
5412: }
5413: } else {
5414: PetscCall(PetscObjectReference((PetscObject)iscol));
5415: iscol_s = iscol;
5416: }
5418: PetscCall(MatCreateSubMatrices(A, 1, &isrow_s, &iscol_s, MAT_INITIAL_MATRIX, &work_mat));
5420: if (!rsorted || !csorted) {
5421: Mat new_mat;
5422: IS is_perm_r, is_perm_c;
5424: if (!rsorted) {
5425: PetscInt *idxs_r, i;
5426: PetscCall(PetscMalloc1(rsize, &idxs_r));
5427: for (i = 0; i < rsize; i++) idxs_r[idxs_perm_r[i]] = i;
5428: PetscCall(PetscFree(idxs_perm_r));
5429: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, rsize, idxs_r, PETSC_OWN_POINTER, &is_perm_r));
5430: } else {
5431: PetscCall(ISCreateStride(PETSC_COMM_SELF, rsize, 0, 1, &is_perm_r));
5432: }
5433: PetscCall(ISSetPermutation(is_perm_r));
5435: if (!csorted) {
5436: if (isrow_s == iscol_s) {
5437: PetscCall(PetscObjectReference((PetscObject)is_perm_r));
5438: is_perm_c = is_perm_r;
5439: } else {
5440: PetscInt *idxs_c, i;
5441: PetscCheck(idxs_perm_c, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Permutation array not present");
5442: PetscCall(PetscMalloc1(csize, &idxs_c));
5443: for (i = 0; i < csize; i++) idxs_c[idxs_perm_c[i]] = i;
5444: PetscCall(PetscFree(idxs_perm_c));
5445: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, csize, idxs_c, PETSC_OWN_POINTER, &is_perm_c));
5446: }
5447: } else {
5448: PetscCall(ISCreateStride(PETSC_COMM_SELF, csize, 0, 1, &is_perm_c));
5449: }
5450: PetscCall(ISSetPermutation(is_perm_c));
5452: PetscCall(MatPermute(work_mat[0], is_perm_r, is_perm_c, &new_mat));
5453: PetscCall(MatDestroy(&work_mat[0]));
5454: work_mat[0] = new_mat;
5455: PetscCall(ISDestroy(&is_perm_r));
5456: PetscCall(ISDestroy(&is_perm_c));
5457: }
5459: PetscCall(PetscObjectReference((PetscObject)work_mat[0]));
5460: *B = work_mat[0];
5461: PetscCall(MatDestroyMatrices(1, &work_mat));
5462: PetscCall(ISDestroy(&isrow_s));
5463: PetscCall(ISDestroy(&iscol_s));
5464: PetscFunctionReturn(PETSC_SUCCESS);
5465: }
5467: PetscErrorCode PCBDDCComputeLocalMatrix(PC pc, Mat ChangeOfBasisMatrix)
5468: {
5469: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
5470: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
5471: Mat new_mat, lA;
5472: IS is_local, is_global;
5473: PetscInt local_size;
5474: PetscBool isseqaij, issym, isset;
5476: PetscFunctionBegin;
5477: PetscCall(MatDestroy(&pcbddc->local_mat));
5478: PetscCall(MatGetSize(matis->A, &local_size, NULL));
5479: if (pcbddc->mat_graph->multi_element) {
5480: Mat *mats, *bdiags;
5481: IS *gsubs;
5482: PetscInt nsubs = pcbddc->n_local_subs;
5484: PetscCall(PetscCalloc1(nsubs * nsubs, &mats));
5485: PetscCall(PetscMalloc1(nsubs, &gsubs));
5486: for (PetscInt i = 0; i < nsubs; i++) PetscCall(ISLocalToGlobalMappingApplyIS(matis->rmapping, pcbddc->local_subs[i], &gsubs[i]));
5487: PetscCall(MatCreateSubMatrices(ChangeOfBasisMatrix, nsubs, gsubs, gsubs, MAT_INITIAL_MATRIX, &bdiags));
5488: for (PetscInt i = 0; i < nsubs; i++) PetscCall(ISDestroy(&gsubs[i]));
5489: PetscCall(PetscFree(gsubs));
5491: for (PetscInt i = 0; i < nsubs; i++) mats[i * (1 + nsubs)] = bdiags[i];
5492: PetscCall(MatCreateNest(PETSC_COMM_SELF, nsubs, pcbddc->local_subs, nsubs, pcbddc->local_subs, mats, &new_mat));
5493: PetscCall(MatConvert(new_mat, MATSEQAIJ, MAT_INPLACE_MATRIX, &new_mat));
5494: PetscCall(MatDestroySubMatrices(nsubs, &bdiags));
5495: PetscCall(PetscFree(mats));
5496: } else {
5497: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)matis->A), local_size, 0, 1, &is_local));
5498: PetscCall(ISLocalToGlobalMappingApplyIS(matis->rmapping, is_local, &is_global));
5499: PetscCall(ISDestroy(&is_local));
5500: PetscCall(MatCreateSubMatrixUnsorted(ChangeOfBasisMatrix, is_global, is_global, &new_mat));
5501: PetscCall(ISDestroy(&is_global));
5502: }
5503: if (pcbddc->dbg_flag) {
5504: Vec x, x_change;
5505: PetscReal error;
5507: PetscCall(MatCreateVecs(ChangeOfBasisMatrix, &x, &x_change));
5508: PetscCall(VecSetRandom(x, NULL));
5509: PetscCall(MatMult(ChangeOfBasisMatrix, x, x_change));
5510: PetscCall(VecScatterBegin(matis->cctx, x, matis->x, INSERT_VALUES, SCATTER_FORWARD));
5511: PetscCall(VecScatterEnd(matis->cctx, x, matis->x, INSERT_VALUES, SCATTER_FORWARD));
5512: PetscCall(MatMult(new_mat, matis->x, matis->y));
5513: if (!pcbddc->change_interior) {
5514: const PetscScalar *x, *y, *v;
5515: PetscReal lerror = 0.;
5516: PetscInt i;
5518: PetscCall(VecGetArrayRead(matis->x, &x));
5519: PetscCall(VecGetArrayRead(matis->y, &y));
5520: PetscCall(VecGetArrayRead(matis->counter, &v));
5521: for (i = 0; i < local_size; i++)
5522: if (PetscRealPart(v[i]) < 1.5 && PetscAbsScalar(x[i] - y[i]) > lerror) lerror = PetscAbsScalar(x[i] - y[i]);
5523: PetscCall(VecRestoreArrayRead(matis->x, &x));
5524: PetscCall(VecRestoreArrayRead(matis->y, &y));
5525: PetscCall(VecRestoreArrayRead(matis->counter, &v));
5526: PetscCallMPI(MPIU_Allreduce(&lerror, &error, 1, MPIU_REAL, MPIU_MAX, PetscObjectComm((PetscObject)pc)));
5527: if (error > PETSC_SMALL) {
5528: if (!pcbddc->user_ChangeOfBasisMatrix || pcbddc->current_level) {
5529: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "Error global vs local change on I: %1.6e", (double)error);
5530: } else {
5531: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_USER, "Error global vs local change on I: %1.6e", (double)error);
5532: }
5533: }
5534: }
5535: PetscCall(VecScatterBegin(matis->rctx, matis->y, x, INSERT_VALUES, SCATTER_REVERSE));
5536: PetscCall(VecScatterEnd(matis->rctx, matis->y, x, INSERT_VALUES, SCATTER_REVERSE));
5537: PetscCall(VecAXPY(x, -1.0, x_change));
5538: PetscCall(VecNorm(x, NORM_INFINITY, &error));
5539: if (error > PETSC_SMALL) {
5540: if (!pcbddc->user_ChangeOfBasisMatrix || pcbddc->current_level) {
5541: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "Error global vs local change on N: %1.6e", (double)error);
5542: } else {
5543: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_USER, "Error global vs local change on N: %1.6e", (double)error);
5544: }
5545: }
5546: PetscCall(VecDestroy(&x));
5547: PetscCall(VecDestroy(&x_change));
5548: }
5550: /* lA is present if we are setting up an inner BDDC for a saddle point FETI-DP */
5551: PetscCall(PetscObjectQuery((PetscObject)pc, "__KSPFETIDP_lA", (PetscObject *)&lA));
5553: /* TODO: HOW TO WORK WITH BAIJ and SBAIJ and SEQDENSE? */
5554: PetscCall(PetscObjectBaseTypeCompare((PetscObject)matis->A, MATSEQAIJ, &isseqaij));
5555: if (isseqaij) {
5556: PetscCall(MatDestroy(&pcbddc->local_mat));
5557: PetscCall(MatPtAP(matis->A, new_mat, MAT_INITIAL_MATRIX, 2.0, &pcbddc->local_mat));
5558: if (lA) {
5559: Mat work;
5560: PetscCall(MatPtAP(lA, new_mat, MAT_INITIAL_MATRIX, 2.0, &work));
5561: PetscCall(PetscObjectCompose((PetscObject)pc, "__KSPFETIDP_lA", (PetscObject)work));
5562: PetscCall(MatDestroy(&work));
5563: }
5564: } else {
5565: Mat work_mat;
5567: PetscCall(MatDestroy(&pcbddc->local_mat));
5568: PetscCall(MatConvert(matis->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &work_mat));
5569: PetscCall(MatPtAP(work_mat, new_mat, MAT_INITIAL_MATRIX, 2.0, &pcbddc->local_mat));
5570: PetscCall(MatDestroy(&work_mat));
5571: if (lA) {
5572: Mat work;
5573: PetscCall(MatConvert(lA, MATSEQAIJ, MAT_INITIAL_MATRIX, &work_mat));
5574: PetscCall(MatPtAP(work_mat, new_mat, MAT_INITIAL_MATRIX, 2.0, &work));
5575: PetscCall(PetscObjectCompose((PetscObject)pc, "__KSPFETIDP_lA", (PetscObject)work));
5576: PetscCall(MatDestroy(&work));
5577: }
5578: }
5579: PetscCall(MatIsSymmetricKnown(matis->A, &isset, &issym));
5580: if (isset) PetscCall(MatSetOption(pcbddc->local_mat, MAT_SYMMETRIC, issym));
5581: PetscCall(MatDestroy(&new_mat));
5582: PetscFunctionReturn(PETSC_SUCCESS);
5583: }
5585: PetscErrorCode PCBDDCSetUpLocalScatters(PC pc)
5586: {
5587: PC_IS *pcis = (PC_IS *)pc->data;
5588: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
5589: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
5590: PetscInt *idx_R_local = NULL;
5591: PetscInt n_vertices, i, j, n_R, n_D, n_B;
5592: PetscInt vbs, bs;
5593: PetscBT bitmask = NULL;
5595: PetscFunctionBegin;
5596: /*
5597: No need to setup local scatters if
5598: - primal space is unchanged
5599: AND
5600: - we actually have locally some primal dofs (could not be true in multilevel or for isolated subdomains)
5601: AND
5602: - we are not in debugging mode (this is needed since there are Synchronized prints at the end of the subroutine
5603: */
5604: if (!pcbddc->new_primal_space_local && pcbddc->local_primal_size && !pcbddc->dbg_flag) PetscFunctionReturn(PETSC_SUCCESS);
5605: /* destroy old objects */
5606: PetscCall(ISDestroy(&pcbddc->is_R_local));
5607: PetscCall(VecScatterDestroy(&pcbddc->R_to_B));
5608: PetscCall(VecScatterDestroy(&pcbddc->R_to_D));
5609: /* Set Non-overlapping dimensions */
5610: n_B = pcis->n_B;
5611: n_D = pcis->n - n_B;
5612: n_vertices = pcbddc->n_vertices;
5614: /* Dohrmann's notation: dofs split in R (Remaining: all dofs but the vertices) and V (Vertices) */
5616: /* create auxiliary bitmask and allocate workspace */
5617: if (!sub_schurs || !sub_schurs->reuse_solver) {
5618: PetscCall(PetscMalloc1(pcis->n - n_vertices, &idx_R_local));
5619: PetscCall(PetscBTCreate(pcis->n, &bitmask));
5620: for (i = 0; i < n_vertices; i++) PetscCall(PetscBTSet(bitmask, pcbddc->local_primal_ref_node[i]));
5622: for (i = 0, n_R = 0; i < pcis->n; i++) {
5623: if (!PetscBTLookup(bitmask, i)) idx_R_local[n_R++] = i;
5624: }
5625: } else { /* A different ordering (already computed) is present if we are reusing the Schur solver */
5626: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
5628: PetscCall(ISGetIndices(reuse_solver->is_R, (const PetscInt **)&idx_R_local));
5629: PetscCall(ISGetLocalSize(reuse_solver->is_R, &n_R));
5630: }
5632: /* Block code */
5633: vbs = 1;
5634: PetscCall(MatGetBlockSize(pcbddc->local_mat, &bs));
5635: if (bs > 1 && !(n_vertices % bs)) {
5636: PetscBool is_blocked = PETSC_TRUE;
5637: PetscInt *vary;
5638: if (!sub_schurs || !sub_schurs->reuse_solver) {
5639: PetscCall(PetscMalloc1(pcis->n / bs, &vary));
5640: PetscCall(PetscArrayzero(vary, pcis->n / bs));
5641: /* Verify that the vertex indices correspond to each element in a block (code taken from sbaij2.c) */
5642: /* it is ok to check this way since local_primal_ref_node are always sorted by local numbering and idx_R_local is obtained as a complement */
5643: for (i = 0; i < n_vertices; i++) vary[pcbddc->local_primal_ref_node[i] / bs]++;
5644: for (i = 0; i < pcis->n / bs; i++) {
5645: if (vary[i] != 0 && vary[i] != bs) {
5646: is_blocked = PETSC_FALSE;
5647: break;
5648: }
5649: }
5650: PetscCall(PetscFree(vary));
5651: } else {
5652: /* Verify directly the R set */
5653: for (i = 0; i < n_R / bs; i++) {
5654: PetscInt j, node = idx_R_local[bs * i];
5655: for (j = 1; j < bs; j++) {
5656: if (node != idx_R_local[bs * i + j] - j) {
5657: is_blocked = PETSC_FALSE;
5658: break;
5659: }
5660: }
5661: }
5662: }
5663: if (is_blocked) { /* build compressed IS for R nodes (complement of vertices) */
5664: vbs = bs;
5665: for (i = 0; i < n_R / vbs; i++) idx_R_local[i] = idx_R_local[vbs * i] / vbs;
5666: }
5667: }
5668: PetscCall(ISCreateBlock(PETSC_COMM_SELF, vbs, n_R / vbs, idx_R_local, PETSC_COPY_VALUES, &pcbddc->is_R_local));
5669: if (sub_schurs && sub_schurs->reuse_solver) {
5670: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
5672: PetscCall(ISRestoreIndices(reuse_solver->is_R, (const PetscInt **)&idx_R_local));
5673: PetscCall(ISDestroy(&reuse_solver->is_R));
5674: PetscCall(PetscObjectReference((PetscObject)pcbddc->is_R_local));
5675: reuse_solver->is_R = pcbddc->is_R_local;
5676: } else {
5677: PetscCall(PetscFree(idx_R_local));
5678: }
5680: /* print some info if requested */
5681: if (pcbddc->dbg_flag) {
5682: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
5683: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5684: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
5685: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d local dimensions\n", PetscGlobalRank));
5686: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "local_size = %" PetscInt_FMT ", dirichlet_size = %" PetscInt_FMT ", boundary_size = %" PetscInt_FMT "\n", pcis->n, n_D, n_B));
5687: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "r_size = %" PetscInt_FMT ", v_size = %" PetscInt_FMT ", constraints = %" PetscInt_FMT ", local_primal_size = %" PetscInt_FMT "\n", n_R, n_vertices,
5688: pcbddc->local_primal_size - n_vertices - pcbddc->benign_n, pcbddc->local_primal_size));
5689: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5690: }
5692: /* VecScatters pcbddc->R_to_B and (optionally) pcbddc->R_to_D */
5693: if (!sub_schurs || !sub_schurs->reuse_solver) {
5694: IS is_aux1, is_aux2;
5695: PetscInt *aux_array1, *aux_array2, *is_indices, *idx_R_local;
5697: PetscCall(ISGetIndices(pcbddc->is_R_local, (const PetscInt **)&idx_R_local));
5698: PetscCall(PetscMalloc1(pcis->n_B - n_vertices, &aux_array1));
5699: PetscCall(PetscMalloc1(pcis->n_B - n_vertices, &aux_array2));
5700: PetscCall(ISGetIndices(pcis->is_I_local, (const PetscInt **)&is_indices));
5701: for (i = 0; i < n_D; i++) PetscCall(PetscBTSet(bitmask, is_indices[i]));
5702: PetscCall(ISRestoreIndices(pcis->is_I_local, (const PetscInt **)&is_indices));
5703: for (i = 0, j = 0; i < n_R; i++) {
5704: if (!PetscBTLookup(bitmask, idx_R_local[i])) aux_array1[j++] = i;
5705: }
5706: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, j, aux_array1, PETSC_OWN_POINTER, &is_aux1));
5707: PetscCall(ISGetIndices(pcis->is_B_local, (const PetscInt **)&is_indices));
5708: for (i = 0, j = 0; i < n_B; i++) {
5709: if (!PetscBTLookup(bitmask, is_indices[i])) aux_array2[j++] = i;
5710: }
5711: PetscCall(ISRestoreIndices(pcis->is_B_local, (const PetscInt **)&is_indices));
5712: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, j, aux_array2, PETSC_OWN_POINTER, &is_aux2));
5713: PetscCall(VecScatterCreate(pcbddc->vec1_R, is_aux1, pcis->vec1_B, is_aux2, &pcbddc->R_to_B));
5714: PetscCall(ISDestroy(&is_aux1));
5715: PetscCall(ISDestroy(&is_aux2));
5717: if (pcbddc->switch_static || pcbddc->dbg_flag) {
5718: PetscCall(PetscMalloc1(n_D, &aux_array1));
5719: for (i = 0, j = 0; i < n_R; i++) {
5720: if (PetscBTLookup(bitmask, idx_R_local[i])) aux_array1[j++] = i;
5721: }
5722: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, j, aux_array1, PETSC_OWN_POINTER, &is_aux1));
5723: PetscCall(VecScatterCreate(pcbddc->vec1_R, is_aux1, pcis->vec1_D, (IS)0, &pcbddc->R_to_D));
5724: PetscCall(ISDestroy(&is_aux1));
5725: }
5726: PetscCall(PetscBTDestroy(&bitmask));
5727: PetscCall(ISRestoreIndices(pcbddc->is_R_local, (const PetscInt **)&idx_R_local));
5728: } else {
5729: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
5730: IS tis;
5731: PetscInt schur_size;
5733: PetscCall(ISGetLocalSize(reuse_solver->is_B, &schur_size));
5734: PetscCall(ISCreateStride(PETSC_COMM_SELF, schur_size, n_D, 1, &tis));
5735: PetscCall(VecScatterCreate(pcbddc->vec1_R, tis, pcis->vec1_B, reuse_solver->is_B, &pcbddc->R_to_B));
5736: PetscCall(ISDestroy(&tis));
5737: if (pcbddc->switch_static || pcbddc->dbg_flag) {
5738: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_D, 0, 1, &tis));
5739: PetscCall(VecScatterCreate(pcbddc->vec1_R, tis, pcis->vec1_D, (IS)0, &pcbddc->R_to_D));
5740: PetscCall(ISDestroy(&tis));
5741: }
5742: }
5743: PetscFunctionReturn(PETSC_SUCCESS);
5744: }
5746: PetscErrorCode MatNullSpacePropagateAny_Private(Mat A, IS is, Mat B)
5747: {
5748: MatNullSpace NullSpace;
5749: Mat dmat;
5750: const Vec *nullvecs;
5751: Vec v, v2, *nullvecs2;
5752: VecScatter sct = NULL;
5753: PetscScalar *ddata;
5754: PetscInt k, nnsp_size, bsiz, bsiz2, n, N, bs;
5755: PetscBool nnsp_has_cnst;
5757: PetscFunctionBegin;
5758: if (!is && !B) { /* MATIS */
5759: Mat_IS *matis = (Mat_IS *)A->data;
5761: if (!B) PetscCall(MatISGetLocalMat(A, &B));
5762: sct = matis->cctx;
5763: PetscCall(PetscObjectReference((PetscObject)sct));
5764: } else {
5765: PetscCall(MatGetNullSpace(B, &NullSpace));
5766: if (!NullSpace) PetscCall(MatGetNearNullSpace(B, &NullSpace));
5767: if (NullSpace) PetscFunctionReturn(PETSC_SUCCESS);
5768: }
5769: PetscCall(MatGetNullSpace(A, &NullSpace));
5770: if (!NullSpace) PetscCall(MatGetNearNullSpace(A, &NullSpace));
5771: if (!NullSpace) PetscFunctionReturn(PETSC_SUCCESS);
5773: PetscCall(MatCreateVecs(A, &v, NULL));
5774: PetscCall(MatCreateVecs(B, &v2, NULL));
5775: if (!sct) PetscCall(VecScatterCreate(v, is, v2, NULL, &sct));
5776: PetscCall(MatNullSpaceGetVecs(NullSpace, &nnsp_has_cnst, &nnsp_size, &nullvecs));
5777: bsiz = bsiz2 = nnsp_size + !!nnsp_has_cnst;
5778: PetscCall(PetscMalloc1(bsiz, &nullvecs2));
5779: PetscCall(VecGetBlockSize(v2, &bs));
5780: PetscCall(VecGetSize(v2, &N));
5781: PetscCall(VecGetLocalSize(v2, &n));
5782: PetscCall(PetscMalloc1(n * bsiz, &ddata));
5783: for (k = 0; k < nnsp_size; k++) {
5784: PetscCall(VecCreateMPIWithArray(PetscObjectComm((PetscObject)B), bs, n, N, ddata + n * k, &nullvecs2[k]));
5785: PetscCall(VecScatterBegin(sct, nullvecs[k], nullvecs2[k], INSERT_VALUES, SCATTER_FORWARD));
5786: PetscCall(VecScatterEnd(sct, nullvecs[k], nullvecs2[k], INSERT_VALUES, SCATTER_FORWARD));
5787: }
5788: if (nnsp_has_cnst) {
5789: PetscCall(VecCreateMPIWithArray(PetscObjectComm((PetscObject)B), bs, n, N, ddata + n * nnsp_size, &nullvecs2[nnsp_size]));
5790: PetscCall(VecSet(nullvecs2[nnsp_size], 1.0));
5791: }
5792: PetscCall(PCBDDCOrthonormalizeVecs(&bsiz2, nullvecs2));
5793: PetscCall(MatNullSpaceCreate(PetscObjectComm((PetscObject)B), PETSC_FALSE, bsiz2, nullvecs2, &NullSpace));
5795: PetscCall(MatCreateDense(PetscObjectComm((PetscObject)B), n, PETSC_DECIDE, N, bsiz2, ddata, &dmat));
5796: PetscCall(PetscObjectContainerCompose((PetscObject)dmat, "_PBDDC_Null_dmat_arr", ddata, PetscCtxDestroyDefault));
5797: PetscCall(PetscObjectCompose((PetscObject)NullSpace, "_PBDDC_Null_dmat", (PetscObject)dmat));
5798: PetscCall(MatDestroy(&dmat));
5800: for (k = 0; k < bsiz; k++) PetscCall(VecDestroy(&nullvecs2[k]));
5801: PetscCall(PetscFree(nullvecs2));
5802: PetscCall(MatSetNearNullSpace(B, NullSpace));
5803: PetscCall(MatNullSpaceDestroy(&NullSpace));
5804: PetscCall(VecDestroy(&v));
5805: PetscCall(VecDestroy(&v2));
5806: PetscCall(VecScatterDestroy(&sct));
5807: PetscFunctionReturn(PETSC_SUCCESS);
5808: }
5810: PetscErrorCode PCBDDCSetUpLocalSolvers(PC pc, PetscBool dirichlet, PetscBool neumann)
5811: {
5812: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
5813: PC_IS *pcis = (PC_IS *)pc->data;
5814: PC pc_temp;
5815: Mat A_RR;
5816: MatNullSpace nnsp;
5817: MatReuse reuse;
5818: PetscScalar m_one = -1.0;
5819: PetscReal value;
5820: PetscInt n_D, n_R;
5821: PetscBool issbaij, opts, isset, issym;
5822: PetscBool f = PETSC_FALSE;
5823: char dir_prefix[256], neu_prefix[256], str_level[16];
5824: size_t len;
5826: PetscFunctionBegin;
5827: PetscCall(PetscLogEventBegin(PC_BDDC_LocalSolvers[pcbddc->current_level], pc, 0, 0, 0));
5828: /* approximate solver, propagate NearNullSpace if needed */
5829: if (!pc->setupcalled && (pcbddc->NullSpace_corr[0] || pcbddc->NullSpace_corr[2])) {
5830: MatNullSpace gnnsp1, gnnsp2;
5831: PetscBool lhas, ghas;
5833: PetscCall(MatGetNearNullSpace(pcbddc->local_mat, &nnsp));
5834: PetscCall(MatGetNearNullSpace(pc->pmat, &gnnsp1));
5835: PetscCall(MatGetNullSpace(pc->pmat, &gnnsp2));
5836: lhas = nnsp ? PETSC_TRUE : PETSC_FALSE;
5837: PetscCallMPI(MPIU_Allreduce(&lhas, &ghas, 1, MPIU_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
5838: if (!ghas && (gnnsp1 || gnnsp2)) PetscCall(MatNullSpacePropagateAny_Private(pc->pmat, NULL, NULL));
5839: }
5841: /* compute prefixes */
5842: PetscCall(PetscStrncpy(dir_prefix, "", sizeof(dir_prefix)));
5843: PetscCall(PetscStrncpy(neu_prefix, "", sizeof(neu_prefix)));
5844: if (!pcbddc->current_level) {
5845: PetscCall(PetscStrncpy(dir_prefix, ((PetscObject)pc)->prefix, sizeof(dir_prefix)));
5846: PetscCall(PetscStrncpy(neu_prefix, ((PetscObject)pc)->prefix, sizeof(neu_prefix)));
5847: PetscCall(PetscStrlcat(dir_prefix, "pc_bddc_dirichlet_", sizeof(dir_prefix)));
5848: PetscCall(PetscStrlcat(neu_prefix, "pc_bddc_neumann_", sizeof(neu_prefix)));
5849: } else {
5850: PetscCall(PetscSNPrintf(str_level, sizeof(str_level), "l%" PetscInt_FMT "_", pcbddc->current_level));
5851: PetscCall(PetscStrlen(((PetscObject)pc)->prefix, &len));
5852: len -= 15; /* remove "pc_bddc_coarse_" */
5853: if (pcbddc->current_level > 1) len -= 3; /* remove "lX_" with X level number */
5854: if (pcbddc->current_level > 10) len -= 1; /* remove another char from level number */
5855: /* Nonstandard use of PetscStrncpy() to only copy a portion of the input string */
5856: PetscCall(PetscStrncpy(dir_prefix, ((PetscObject)pc)->prefix, len + 1));
5857: PetscCall(PetscStrncpy(neu_prefix, ((PetscObject)pc)->prefix, len + 1));
5858: PetscCall(PetscStrlcat(dir_prefix, "pc_bddc_dirichlet_", sizeof(dir_prefix)));
5859: PetscCall(PetscStrlcat(neu_prefix, "pc_bddc_neumann_", sizeof(neu_prefix)));
5860: PetscCall(PetscStrlcat(dir_prefix, str_level, sizeof(dir_prefix)));
5861: PetscCall(PetscStrlcat(neu_prefix, str_level, sizeof(neu_prefix)));
5862: }
5864: /* DIRICHLET PROBLEM */
5865: if (dirichlet) {
5866: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
5867: if (pcbddc->benign_n && !pcbddc->benign_change_explicit) {
5868: PetscCheck(sub_schurs && sub_schurs->reuse_solver, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
5869: if (pcbddc->dbg_flag) {
5870: Mat A_IIn;
5872: PetscCall(PCBDDCBenignProject(pc, pcis->is_I_local, pcis->is_I_local, &A_IIn));
5873: PetscCall(MatDestroy(&pcis->A_II));
5874: pcis->A_II = A_IIn;
5875: }
5876: }
5877: PetscCall(MatIsSymmetricKnown(pcbddc->local_mat, &isset, &issym));
5878: if (isset) PetscCall(MatSetOption(pcis->A_II, MAT_SYMMETRIC, issym));
5880: /* Matrix for Dirichlet problem is pcis->A_II */
5881: n_D = pcis->n - pcis->n_B;
5882: opts = PETSC_FALSE;
5883: if (!pcbddc->ksp_D) { /* create object if not yet build */
5884: opts = PETSC_TRUE;
5885: PetscCall(KSPCreate(PETSC_COMM_SELF, &pcbddc->ksp_D));
5886: PetscCall(KSPSetNestLevel(pcbddc->ksp_D, pc->kspnestlevel));
5887: PetscCall(PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_D, (PetscObject)pc, 1));
5888: /* default */
5889: PetscCall(KSPSetType(pcbddc->ksp_D, KSPPREONLY));
5890: PetscCall(KSPSetOptionsPrefix(pcbddc->ksp_D, dir_prefix));
5891: PetscCall(PetscObjectTypeCompare((PetscObject)pcis->pA_II, MATSEQSBAIJ, &issbaij));
5892: PetscCall(KSPGetPC(pcbddc->ksp_D, &pc_temp));
5893: if (issbaij) {
5894: PetscCall(PCSetType(pc_temp, PCCHOLESKY));
5895: } else {
5896: PetscCall(PCSetType(pc_temp, PCLU));
5897: }
5898: PetscCall(KSPSetErrorIfNotConverged(pcbddc->ksp_D, pc->erroriffailure));
5899: }
5900: PetscCall(MatSetOptionsPrefix(pcis->pA_II, ((PetscObject)pcbddc->ksp_D)->prefix));
5901: PetscCall(MatViewFromOptions(pcis->pA_II, NULL, "-mat_view"));
5902: PetscCall(KSPSetOperators(pcbddc->ksp_D, pcis->A_II, pcis->pA_II));
5903: /* Allow user's customization */
5904: if (opts) PetscCall(KSPSetFromOptions(pcbddc->ksp_D));
5905: PetscCall(MatGetNearNullSpace(pcis->pA_II, &nnsp));
5906: if (pcbddc->NullSpace_corr[0] && !nnsp) { /* approximate solver, propagate NearNullSpace */
5907: PetscCall(MatNullSpacePropagateAny_Private(pcbddc->local_mat, pcis->is_I_local, pcis->pA_II));
5908: }
5909: PetscCall(MatGetNearNullSpace(pcis->pA_II, &nnsp));
5910: PetscCall(KSPGetPC(pcbddc->ksp_D, &pc_temp));
5911: PetscCall(PetscObjectHasFunction((PetscObject)pc_temp, "PCSetCoordinates_C", &f));
5912: if (f && pcbddc->mat_graph->cloc && !nnsp) {
5913: PetscReal *coords = pcbddc->mat_graph->coords, *scoords;
5914: const PetscInt *idxs;
5915: PetscInt cdim = pcbddc->mat_graph->cdim, nl, i, d;
5917: PetscCall(ISGetLocalSize(pcis->is_I_local, &nl));
5918: PetscCall(ISGetIndices(pcis->is_I_local, &idxs));
5919: PetscCall(PetscMalloc1(nl * cdim, &scoords));
5920: for (i = 0; i < nl; i++) {
5921: for (d = 0; d < cdim; d++) scoords[i * cdim + d] = coords[idxs[i] * cdim + d];
5922: }
5923: PetscCall(ISRestoreIndices(pcis->is_I_local, &idxs));
5924: PetscCall(PCSetCoordinates(pc_temp, cdim, nl, scoords));
5925: PetscCall(PetscFree(scoords));
5926: }
5927: if (sub_schurs && sub_schurs->reuse_solver) {
5928: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
5930: PetscCall(KSPSetPC(pcbddc->ksp_D, reuse_solver->interior_solver));
5931: }
5933: /* umfpack interface has a bug when matrix dimension is zero. TODO solve from umfpack interface */
5934: if (!n_D) {
5935: PetscCall(KSPGetPC(pcbddc->ksp_D, &pc_temp));
5936: PetscCall(PCSetType(pc_temp, PCNONE));
5937: }
5938: PetscCall(KSPSetUp(pcbddc->ksp_D));
5939: /* set ksp_D into pcis data */
5940: PetscCall(PetscObjectReference((PetscObject)pcbddc->ksp_D));
5941: PetscCall(KSPDestroy(&pcis->ksp_D));
5942: pcis->ksp_D = pcbddc->ksp_D;
5943: }
5945: /* NEUMANN PROBLEM */
5946: A_RR = NULL;
5947: if (neumann) {
5948: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
5949: PetscInt ibs, mbs;
5950: PetscBool issbaij, reuse_neumann_solver, isset, issym;
5951: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
5953: reuse_neumann_solver = PETSC_FALSE;
5954: if (sub_schurs && sub_schurs->reuse_solver) {
5955: IS iP;
5957: reuse_neumann_solver = PETSC_TRUE;
5958: PetscCall(PetscObjectQuery((PetscObject)sub_schurs->A, "__KSPFETIDP_iP", (PetscObject *)&iP));
5959: if (iP) reuse_neumann_solver = PETSC_FALSE;
5960: }
5961: /* Matrix for Neumann problem is A_RR -> we need to create/reuse it at this point */
5962: PetscCall(ISGetSize(pcbddc->is_R_local, &n_R));
5963: if (pcbddc->ksp_R) { /* already created ksp */
5964: PetscInt nn_R;
5965: PetscCall(KSPGetOperators(pcbddc->ksp_R, NULL, &A_RR));
5966: PetscCall(PetscObjectReference((PetscObject)A_RR));
5967: PetscCall(MatGetSize(A_RR, &nn_R, NULL));
5968: if (nn_R != n_R) { /* old ksp is not reusable, so reset it */
5969: PetscCall(KSPReset(pcbddc->ksp_R));
5970: PetscCall(MatDestroy(&A_RR));
5971: reuse = MAT_INITIAL_MATRIX;
5972: } else { /* same sizes, but nonzero pattern depend on primal vertices so it can be changed */
5973: if (pcbddc->new_primal_space_local) { /* we are not sure the matrix will have the same nonzero pattern */
5974: PetscCall(MatDestroy(&A_RR));
5975: reuse = MAT_INITIAL_MATRIX;
5976: } else { /* safe to reuse the matrix */
5977: reuse = MAT_REUSE_MATRIX;
5978: }
5979: }
5980: /* last check */
5981: if (pc->flag == DIFFERENT_NONZERO_PATTERN) {
5982: PetscCall(MatDestroy(&A_RR));
5983: reuse = MAT_INITIAL_MATRIX;
5984: }
5985: } else { /* first time, so we need to create the matrix */
5986: reuse = MAT_INITIAL_MATRIX;
5987: }
5988: /* convert pcbddc->local_mat if needed later in PCBDDCSetUpCorrection
5989: TODO: Get Rid of these conversions */
5990: PetscCall(MatGetBlockSize(pcbddc->local_mat, &mbs));
5991: PetscCall(ISGetBlockSize(pcbddc->is_R_local, &ibs));
5992: PetscCall(PetscObjectTypeCompare((PetscObject)pcbddc->local_mat, MATSEQSBAIJ, &issbaij));
5993: if (ibs != mbs) { /* need to convert to SEQAIJ to extract any submatrix with is_R_local */
5994: if (matis->A == pcbddc->local_mat) {
5995: PetscCall(MatDestroy(&pcbddc->local_mat));
5996: PetscCall(MatConvert(matis->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &pcbddc->local_mat));
5997: } else {
5998: PetscCall(MatConvert(pcbddc->local_mat, MATSEQAIJ, MAT_INPLACE_MATRIX, &pcbddc->local_mat));
5999: }
6000: } else if (issbaij) { /* need to convert to BAIJ to get off-diagonal blocks */
6001: if (matis->A == pcbddc->local_mat) {
6002: PetscCall(MatDestroy(&pcbddc->local_mat));
6003: PetscCall(MatConvert(matis->A, mbs > 1 ? MATSEQBAIJ : MATSEQAIJ, MAT_INITIAL_MATRIX, &pcbddc->local_mat));
6004: } else {
6005: PetscCall(MatConvert(pcbddc->local_mat, mbs > 1 ? MATSEQBAIJ : MATSEQAIJ, MAT_INPLACE_MATRIX, &pcbddc->local_mat));
6006: }
6007: }
6008: /* extract A_RR */
6009: if (reuse_neumann_solver) {
6010: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6012: if (pcbddc->dbg_flag) { /* we need A_RR to test the solver later */
6013: PetscCall(MatDestroy(&A_RR));
6014: if (reuse_solver->benign_n) { /* we are not using the explicit change of basis on the pressures */
6015: PetscCall(PCBDDCBenignProject(pc, pcbddc->is_R_local, pcbddc->is_R_local, &A_RR));
6016: } else {
6017: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, pcbddc->is_R_local, pcbddc->is_R_local, MAT_INITIAL_MATRIX, &A_RR));
6018: }
6019: } else {
6020: PetscCall(MatDestroy(&A_RR));
6021: PetscCall(PCGetOperators(reuse_solver->correction_solver, &A_RR, NULL));
6022: PetscCall(PetscObjectReference((PetscObject)A_RR));
6023: }
6024: } else { /* we have to build the neumann solver, so we need to extract the relevant matrix */
6025: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, pcbddc->is_R_local, pcbddc->is_R_local, reuse, &A_RR));
6026: }
6027: PetscCall(MatIsSymmetricKnown(pcbddc->local_mat, &isset, &issym));
6028: if (isset) PetscCall(MatSetOption(A_RR, MAT_SYMMETRIC, issym));
6029: opts = PETSC_FALSE;
6030: if (!pcbddc->ksp_R) { /* create object if not present */
6031: opts = PETSC_TRUE;
6032: PetscCall(KSPCreate(PETSC_COMM_SELF, &pcbddc->ksp_R));
6033: PetscCall(KSPSetNestLevel(pcbddc->ksp_R, pc->kspnestlevel));
6034: PetscCall(PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_R, (PetscObject)pc, 1));
6035: /* default */
6036: PetscCall(KSPSetType(pcbddc->ksp_R, KSPPREONLY));
6037: PetscCall(KSPSetOptionsPrefix(pcbddc->ksp_R, neu_prefix));
6038: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_temp));
6039: PetscCall(PetscObjectTypeCompare((PetscObject)A_RR, MATSEQSBAIJ, &issbaij));
6040: if (issbaij) {
6041: PetscCall(PCSetType(pc_temp, PCCHOLESKY));
6042: } else {
6043: PetscCall(PCSetType(pc_temp, PCLU));
6044: }
6045: PetscCall(KSPSetErrorIfNotConverged(pcbddc->ksp_R, pc->erroriffailure));
6046: }
6047: PetscCall(MatSetOptionsPrefix(A_RR, ((PetscObject)pcbddc->ksp_R)->prefix));
6048: PetscCall(MatViewFromOptions(A_RR, NULL, "-mat_view"));
6049: PetscCall(KSPSetOperators(pcbddc->ksp_R, A_RR, A_RR));
6050: if (opts) { /* Allow user's customization once */
6051: PetscCall(KSPSetFromOptions(pcbddc->ksp_R));
6052: }
6053: PetscCall(MatGetNearNullSpace(A_RR, &nnsp));
6054: if (pcbddc->NullSpace_corr[2] && !nnsp) { /* approximate solver, propagate NearNullSpace */
6055: PetscCall(MatNullSpacePropagateAny_Private(pcbddc->local_mat, pcbddc->is_R_local, A_RR));
6056: }
6057: PetscCall(MatGetNearNullSpace(A_RR, &nnsp));
6058: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_temp));
6059: PetscCall(PetscObjectHasFunction((PetscObject)pc_temp, "PCSetCoordinates_C", &f));
6060: if (f && pcbddc->mat_graph->cloc && !nnsp) {
6061: PetscReal *coords = pcbddc->mat_graph->coords, *scoords;
6062: const PetscInt *idxs;
6063: PetscInt cdim = pcbddc->mat_graph->cdim, nl, i, d;
6065: PetscCall(ISGetLocalSize(pcbddc->is_R_local, &nl));
6066: PetscCall(ISGetIndices(pcbddc->is_R_local, &idxs));
6067: PetscCall(PetscMalloc1(nl * cdim, &scoords));
6068: for (i = 0; i < nl; i++) {
6069: for (d = 0; d < cdim; d++) scoords[i * cdim + d] = coords[idxs[i] * cdim + d];
6070: }
6071: PetscCall(ISRestoreIndices(pcbddc->is_R_local, &idxs));
6072: PetscCall(PCSetCoordinates(pc_temp, cdim, nl, scoords));
6073: PetscCall(PetscFree(scoords));
6074: }
6076: /* umfpack interface has a bug when matrix dimension is zero. TODO solve from umfpack interface */
6077: if (!n_R) {
6078: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_temp));
6079: PetscCall(PCSetType(pc_temp, PCNONE));
6080: }
6081: /* Reuse solver if it is present */
6082: if (reuse_neumann_solver) {
6083: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6085: PetscCall(KSPSetPC(pcbddc->ksp_R, reuse_solver->correction_solver));
6086: }
6087: PetscCall(KSPSetUp(pcbddc->ksp_R));
6088: }
6090: if (pcbddc->dbg_flag) {
6091: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6092: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
6093: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
6094: }
6095: PetscCall(PetscLogEventEnd(PC_BDDC_LocalSolvers[pcbddc->current_level], pc, 0, 0, 0));
6097: /* adapt Dirichlet and Neumann solvers if a nullspace correction has been requested */
6098: if (pcbddc->NullSpace_corr[0]) PetscCall(PCBDDCSetUseExactDirichlet(pc, PETSC_FALSE));
6099: if (dirichlet && pcbddc->NullSpace_corr[0] && !pcbddc->switch_static) PetscCall(PCBDDCNullSpaceAssembleCorrection(pc, PETSC_TRUE, pcbddc->NullSpace_corr[1]));
6100: if (neumann && pcbddc->NullSpace_corr[2]) PetscCall(PCBDDCNullSpaceAssembleCorrection(pc, PETSC_FALSE, pcbddc->NullSpace_corr[3]));
6101: /* check Dirichlet and Neumann solvers */
6102: if (pcbddc->dbg_flag) {
6103: if (dirichlet) { /* Dirichlet */
6104: PetscCall(VecSetRandom(pcis->vec1_D, NULL));
6105: PetscCall(MatMult(pcis->A_II, pcis->vec1_D, pcis->vec2_D));
6106: PetscCall(KSPSolve(pcbddc->ksp_D, pcis->vec2_D, pcis->vec2_D));
6107: PetscCall(KSPCheckSolve(pcbddc->ksp_D, pc, pcis->vec2_D));
6108: PetscCall(VecAXPY(pcis->vec1_D, m_one, pcis->vec2_D));
6109: PetscCall(VecNorm(pcis->vec1_D, NORM_INFINITY, &value));
6110: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d infinity error for Dirichlet solve (%s) = % 1.14e \n", PetscGlobalRank, ((PetscObject)pcbddc->ksp_D)->prefix, (double)value));
6111: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6112: }
6113: if (neumann) { /* Neumann */
6114: PetscCall(VecSetRandom(pcbddc->vec1_R, NULL));
6115: PetscCall(MatMult(A_RR, pcbddc->vec1_R, pcbddc->vec2_R));
6116: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec2_R, pcbddc->vec2_R));
6117: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
6118: PetscCall(VecAXPY(pcbddc->vec1_R, m_one, pcbddc->vec2_R));
6119: PetscCall(VecNorm(pcbddc->vec1_R, NORM_INFINITY, &value));
6120: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d infinity error for Neumann solve (%s) = % 1.14e\n", PetscGlobalRank, ((PetscObject)pcbddc->ksp_R)->prefix, (double)value));
6121: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6122: }
6123: }
6124: /* free Neumann problem's matrix */
6125: PetscCall(MatDestroy(&A_RR));
6126: PetscFunctionReturn(PETSC_SUCCESS);
6127: }
6129: static PetscErrorCode PCBDDCSolveSubstructureCorrection(PC pc, Vec inout_B, Vec inout_D, PetscBool applytranspose)
6130: {
6131: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6132: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
6133: PetscBool reuse_solver = sub_schurs ? (sub_schurs->reuse_solver ? PETSC_TRUE : PETSC_FALSE) : PETSC_FALSE;
6135: PetscFunctionBegin;
6136: if (!reuse_solver) PetscCall(VecSet(pcbddc->vec1_R, 0.));
6137: if (!pcbddc->switch_static) {
6138: if (applytranspose && pcbddc->local_auxmat1) {
6139: PetscCall(MatMultTranspose(pcbddc->local_auxmat2, inout_B, pcbddc->vec1_C));
6140: PetscCall(MatMultTransposeAdd(pcbddc->local_auxmat1, pcbddc->vec1_C, inout_B, inout_B));
6141: }
6142: if (!reuse_solver) {
6143: PetscCall(VecScatterBegin(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6144: PetscCall(VecScatterEnd(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6145: } else {
6146: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6148: PetscCall(VecScatterBegin(reuse_solver->correction_scatter_B, inout_B, reuse_solver->rhs_B, INSERT_VALUES, SCATTER_FORWARD));
6149: PetscCall(VecScatterEnd(reuse_solver->correction_scatter_B, inout_B, reuse_solver->rhs_B, INSERT_VALUES, SCATTER_FORWARD));
6150: }
6151: } else {
6152: PetscCall(VecScatterBegin(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6153: PetscCall(VecScatterEnd(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6154: PetscCall(VecScatterBegin(pcbddc->R_to_D, inout_D, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6155: PetscCall(VecScatterEnd(pcbddc->R_to_D, inout_D, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6156: if (applytranspose && pcbddc->local_auxmat1) {
6157: PetscCall(MatMultTranspose(pcbddc->local_auxmat2, pcbddc->vec1_R, pcbddc->vec1_C));
6158: PetscCall(MatMultTransposeAdd(pcbddc->local_auxmat1, pcbddc->vec1_C, inout_B, inout_B));
6159: PetscCall(VecScatterBegin(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6160: PetscCall(VecScatterEnd(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6161: }
6162: }
6163: PetscCall(PetscLogEventBegin(PC_BDDC_Solves[pcbddc->current_level][1], pc, 0, 0, 0));
6164: if (!reuse_solver || pcbddc->switch_static) {
6165: if (applytranspose) {
6166: PetscCall(KSPSolveTranspose(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec1_R));
6167: } else {
6168: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec1_R));
6169: }
6170: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec1_R));
6171: } else {
6172: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6174: if (applytranspose) {
6175: PetscCall(MatFactorSolveSchurComplementTranspose(reuse_solver->F, reuse_solver->rhs_B, reuse_solver->sol_B));
6176: } else {
6177: PetscCall(MatFactorSolveSchurComplement(reuse_solver->F, reuse_solver->rhs_B, reuse_solver->sol_B));
6178: }
6179: }
6180: PetscCall(PetscLogEventEnd(PC_BDDC_Solves[pcbddc->current_level][1], pc, 0, 0, 0));
6181: PetscCall(VecSet(inout_B, 0.));
6182: if (!pcbddc->switch_static) {
6183: if (!reuse_solver) {
6184: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6185: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6186: } else {
6187: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6189: PetscCall(VecScatterBegin(reuse_solver->correction_scatter_B, reuse_solver->sol_B, inout_B, INSERT_VALUES, SCATTER_REVERSE));
6190: PetscCall(VecScatterEnd(reuse_solver->correction_scatter_B, reuse_solver->sol_B, inout_B, INSERT_VALUES, SCATTER_REVERSE));
6191: }
6192: if (!applytranspose && pcbddc->local_auxmat1) {
6193: PetscCall(MatMult(pcbddc->local_auxmat1, inout_B, pcbddc->vec1_C));
6194: PetscCall(MatMultAdd(pcbddc->local_auxmat2, pcbddc->vec1_C, inout_B, inout_B));
6195: }
6196: } else {
6197: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6198: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6199: PetscCall(VecScatterBegin(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6200: PetscCall(VecScatterEnd(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6201: if (!applytranspose && pcbddc->local_auxmat1) {
6202: PetscCall(MatMult(pcbddc->local_auxmat1, inout_B, pcbddc->vec1_C));
6203: PetscCall(MatMultAdd(pcbddc->local_auxmat2, pcbddc->vec1_C, pcbddc->vec1_R, pcbddc->vec1_R));
6204: }
6205: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6206: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6207: PetscCall(VecScatterBegin(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6208: PetscCall(VecScatterEnd(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6209: }
6210: PetscFunctionReturn(PETSC_SUCCESS);
6211: }
6213: /* parameter apply transpose determines if the interface preconditioner should be applied transposed or not */
6214: PetscErrorCode PCBDDCApplyInterfacePreconditioner(PC pc, PetscBool applytranspose)
6215: {
6216: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6217: PC_IS *pcis = (PC_IS *)pc->data;
6218: const PetscScalar zero = 0.0;
6220: PetscFunctionBegin;
6221: /* Application of PSI^T or PHI^T (depending on applytranspose, see comment above) */
6222: if (!pcbddc->benign_apply_coarse_only) {
6223: if (applytranspose) {
6224: PetscCall(MatMultTranspose(pcbddc->coarse_phi_B, pcis->vec1_B, pcbddc->vec1_P));
6225: if (pcbddc->switch_static) PetscCall(MatMultTransposeAdd(pcbddc->coarse_phi_D, pcis->vec1_D, pcbddc->vec1_P, pcbddc->vec1_P));
6226: } else {
6227: PetscCall(MatMultTranspose(pcbddc->coarse_psi_B, pcis->vec1_B, pcbddc->vec1_P));
6228: if (pcbddc->switch_static) PetscCall(MatMultTransposeAdd(pcbddc->coarse_psi_D, pcis->vec1_D, pcbddc->vec1_P, pcbddc->vec1_P));
6229: }
6230: } else {
6231: PetscCall(VecSet(pcbddc->vec1_P, zero));
6232: }
6234: /* add p0 to the last value of vec1_P holding the coarse dof relative to p0 */
6235: if (pcbddc->benign_n) {
6236: PetscScalar *array;
6237: PetscInt j;
6239: PetscCall(VecGetArray(pcbddc->vec1_P, &array));
6240: for (j = 0; j < pcbddc->benign_n; j++) array[pcbddc->local_primal_size - pcbddc->benign_n + j] += pcbddc->benign_p0[j];
6241: PetscCall(VecRestoreArray(pcbddc->vec1_P, &array));
6242: }
6244: /* start communications from local primal nodes to rhs of coarse solver */
6245: PetscCall(VecSet(pcbddc->coarse_vec, zero));
6246: PetscCall(PCBDDCScatterCoarseDataBegin(pc, ADD_VALUES, SCATTER_FORWARD));
6247: PetscCall(PCBDDCScatterCoarseDataEnd(pc, ADD_VALUES, SCATTER_FORWARD));
6249: /* Coarse solution -> rhs and sol updated inside PCBDDCScattarCoarseDataBegin/End */
6250: PetscCall(PetscLogEventBegin(PC_BDDC_Solves[pcbddc->current_level][2], pc, 0, 0, 0));
6251: if (pcbddc->coarse_ksp) {
6252: Mat coarse_mat;
6253: Vec rhs, sol;
6254: MatNullSpace nullsp;
6255: PetscBool isbddc = PETSC_FALSE;
6257: if (pcbddc->benign_have_null) {
6258: PC coarse_pc;
6260: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
6261: PetscCall(PetscObjectTypeCompare((PetscObject)coarse_pc, PCBDDC, &isbddc));
6262: /* we need to propagate to coarser levels the need for a possible benign correction */
6263: if (isbddc && pcbddc->benign_apply_coarse_only && !pcbddc->benign_skip_correction) {
6264: PC_BDDC *coarsepcbddc = (PC_BDDC *)coarse_pc->data;
6265: coarsepcbddc->benign_skip_correction = PETSC_FALSE;
6266: coarsepcbddc->benign_apply_coarse_only = PETSC_TRUE;
6267: }
6268: }
6269: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &rhs));
6270: PetscCall(KSPGetSolution(pcbddc->coarse_ksp, &sol));
6271: PetscCall(KSPGetOperators(pcbddc->coarse_ksp, &coarse_mat, NULL));
6272: if (applytranspose) {
6273: PetscCheck(!pcbddc->benign_apply_coarse_only, PetscObjectComm((PetscObject)pcbddc->coarse_ksp), PETSC_ERR_SUP, "Not yet implemented");
6274: PetscCall(KSPSolveTranspose(pcbddc->coarse_ksp, rhs, sol));
6275: PetscCall(KSPCheckSolve(pcbddc->coarse_ksp, pc, sol));
6276: PetscCall(MatGetTransposeNullSpace(coarse_mat, &nullsp));
6277: if (nullsp) PetscCall(MatNullSpaceRemove(nullsp, sol));
6278: } else {
6279: PetscCall(MatGetNullSpace(coarse_mat, &nullsp));
6280: if (pcbddc->benign_apply_coarse_only && isbddc) { /* need just to apply the coarse preconditioner during presolve */
6281: PC coarse_pc;
6283: if (nullsp) PetscCall(MatNullSpaceRemove(nullsp, rhs));
6284: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
6285: PetscCall(PCPreSolve(coarse_pc, pcbddc->coarse_ksp));
6286: PetscCall(PCBDDCBenignRemoveInterior(coarse_pc, rhs, sol));
6287: PetscCall(PCPostSolve(coarse_pc, pcbddc->coarse_ksp));
6288: } else {
6289: PetscCall(KSPSolve(pcbddc->coarse_ksp, rhs, sol));
6290: PetscCall(KSPCheckSolve(pcbddc->coarse_ksp, pc, sol));
6291: if (nullsp) PetscCall(MatNullSpaceRemove(nullsp, sol));
6292: }
6293: }
6294: /* we don't need the benign correction at coarser levels anymore */
6295: if (pcbddc->benign_have_null && isbddc) {
6296: PC coarse_pc;
6297: PC_BDDC *coarsepcbddc;
6299: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
6300: coarsepcbddc = (PC_BDDC *)coarse_pc->data;
6301: coarsepcbddc->benign_skip_correction = PETSC_TRUE;
6302: coarsepcbddc->benign_apply_coarse_only = PETSC_FALSE;
6303: }
6304: }
6305: PetscCall(PetscLogEventEnd(PC_BDDC_Solves[pcbddc->current_level][2], pc, 0, 0, 0));
6307: /* Local solution on R nodes */
6308: if (!pcbddc->benign_apply_coarse_only) PetscCall(PCBDDCSolveSubstructureCorrection(pc, pcis->vec1_B, pcis->vec1_D, applytranspose));
6309: /* communications from coarse sol to local primal nodes */
6310: PetscCall(PCBDDCScatterCoarseDataBegin(pc, INSERT_VALUES, SCATTER_REVERSE));
6311: PetscCall(PCBDDCScatterCoarseDataEnd(pc, INSERT_VALUES, SCATTER_REVERSE));
6313: /* Sum contributions from the two levels */
6314: if (!pcbddc->benign_apply_coarse_only) {
6315: if (applytranspose) {
6316: PetscCall(MatMultAdd(pcbddc->coarse_psi_B, pcbddc->vec1_P, pcis->vec1_B, pcis->vec1_B));
6317: if (pcbddc->switch_static) PetscCall(MatMultAdd(pcbddc->coarse_psi_D, pcbddc->vec1_P, pcis->vec1_D, pcis->vec1_D));
6318: } else {
6319: PetscCall(MatMultAdd(pcbddc->coarse_phi_B, pcbddc->vec1_P, pcis->vec1_B, pcis->vec1_B));
6320: if (pcbddc->switch_static) PetscCall(MatMultAdd(pcbddc->coarse_phi_D, pcbddc->vec1_P, pcis->vec1_D, pcis->vec1_D));
6321: }
6322: /* store p0 */
6323: if (pcbddc->benign_n) {
6324: PetscScalar *array;
6325: PetscInt j;
6327: PetscCall(VecGetArray(pcbddc->vec1_P, &array));
6328: for (j = 0; j < pcbddc->benign_n; j++) pcbddc->benign_p0[j] = array[pcbddc->local_primal_size - pcbddc->benign_n + j];
6329: PetscCall(VecRestoreArray(pcbddc->vec1_P, &array));
6330: }
6331: } else { /* expand the coarse solution */
6332: if (applytranspose) {
6333: PetscCall(MatMult(pcbddc->coarse_psi_B, pcbddc->vec1_P, pcis->vec1_B));
6334: } else {
6335: PetscCall(MatMult(pcbddc->coarse_phi_B, pcbddc->vec1_P, pcis->vec1_B));
6336: }
6337: }
6338: PetscFunctionReturn(PETSC_SUCCESS);
6339: }
6341: PetscErrorCode PCBDDCScatterCoarseDataBegin(PC pc, InsertMode imode, ScatterMode smode)
6342: {
6343: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6344: Vec from, to;
6345: const PetscScalar *array;
6347: PetscFunctionBegin;
6348: if (smode == SCATTER_REVERSE) { /* from global to local -> get data from coarse solution */
6349: from = pcbddc->coarse_vec;
6350: to = pcbddc->vec1_P;
6351: if (pcbddc->coarse_ksp) { /* get array from coarse processes */
6352: Vec tvec;
6354: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &tvec));
6355: PetscCall(VecResetArray(tvec));
6356: PetscCall(KSPGetSolution(pcbddc->coarse_ksp, &tvec));
6357: PetscCall(VecGetArrayRead(tvec, &array));
6358: PetscCall(VecPlaceArray(from, array));
6359: PetscCall(VecRestoreArrayRead(tvec, &array));
6360: }
6361: } else { /* from local to global -> put data in coarse right-hand side */
6362: from = pcbddc->vec1_P;
6363: to = pcbddc->coarse_vec;
6364: }
6365: PetscCall(VecScatterBegin(pcbddc->coarse_loc_to_glob, from, to, imode, smode));
6366: PetscFunctionReturn(PETSC_SUCCESS);
6367: }
6369: PetscErrorCode PCBDDCScatterCoarseDataEnd(PC pc, InsertMode imode, ScatterMode smode)
6370: {
6371: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6372: Vec from, to;
6373: const PetscScalar *array;
6375: PetscFunctionBegin;
6376: if (smode == SCATTER_REVERSE) { /* from global to local -> get data from coarse solution */
6377: from = pcbddc->coarse_vec;
6378: to = pcbddc->vec1_P;
6379: } else { /* from local to global -> put data in coarse right-hand side */
6380: from = pcbddc->vec1_P;
6381: to = pcbddc->coarse_vec;
6382: }
6383: PetscCall(VecScatterEnd(pcbddc->coarse_loc_to_glob, from, to, imode, smode));
6384: if (smode == SCATTER_FORWARD) {
6385: if (pcbddc->coarse_ksp) { /* get array from coarse processes */
6386: Vec tvec;
6388: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &tvec));
6389: PetscCall(VecGetArrayRead(to, &array));
6390: PetscCall(VecPlaceArray(tvec, array));
6391: PetscCall(VecRestoreArrayRead(to, &array));
6392: }
6393: } else {
6394: if (pcbddc->coarse_ksp) { /* restore array of pcbddc->coarse_vec */
6395: PetscCall(VecResetArray(from));
6396: }
6397: }
6398: PetscFunctionReturn(PETSC_SUCCESS);
6399: }
6401: PetscErrorCode PCBDDCConstraintsSetUp(PC pc)
6402: {
6403: PC_IS *pcis = (PC_IS *)pc->data;
6404: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6405: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
6406: /* one and zero */
6407: PetscScalar one = 1.0, zero = 0.0;
6408: /* space to store constraints and their local indices */
6409: PetscScalar *constraints_data;
6410: PetscInt *constraints_idxs, *constraints_idxs_B;
6411: PetscInt *constraints_idxs_ptr, *constraints_data_ptr;
6412: PetscInt *constraints_n;
6413: /* iterators */
6414: PetscInt i, j, k, total_counts, total_counts_cc, cum;
6415: /* BLAS integers */
6416: PetscBLASInt lwork, lierr;
6417: PetscBLASInt Blas_N, Blas_M, Blas_K, Blas_one = 1;
6418: PetscBLASInt Blas_LDA, Blas_LDB, Blas_LDC;
6419: /* reuse */
6420: PetscInt olocal_primal_size, olocal_primal_size_cc;
6421: PetscInt *olocal_primal_ref_node, *olocal_primal_ref_mult;
6422: /* change of basis */
6423: PetscBool qr_needed;
6424: PetscBT change_basis, qr_needed_idx;
6425: /* auxiliary stuff */
6426: PetscInt *nnz, *is_indices;
6427: PetscInt ncc;
6428: /* some quantities */
6429: PetscInt n_vertices, total_primal_vertices, valid_constraints;
6430: PetscInt size_of_constraint, max_size_of_constraint = 0, max_constraints, temp_constraints;
6431: PetscReal tol; /* tolerance for retaining eigenmodes */
6433: PetscFunctionBegin;
6434: tol = PetscSqrtReal(PETSC_SMALL);
6435: /* Destroy Mat objects computed previously */
6436: PetscCall(MatDestroy(&pcbddc->ChangeOfBasisMatrix));
6437: PetscCall(MatDestroy(&pcbddc->ConstraintMatrix));
6438: PetscCall(MatDestroy(&pcbddc->switch_static_change));
6439: /* save info on constraints from previous setup (if any) */
6440: olocal_primal_size = pcbddc->local_primal_size;
6441: olocal_primal_size_cc = pcbddc->local_primal_size_cc;
6442: PetscCall(PetscMalloc2(olocal_primal_size_cc, &olocal_primal_ref_node, olocal_primal_size_cc, &olocal_primal_ref_mult));
6443: PetscCall(PetscArraycpy(olocal_primal_ref_node, pcbddc->local_primal_ref_node, olocal_primal_size_cc));
6444: PetscCall(PetscArraycpy(olocal_primal_ref_mult, pcbddc->local_primal_ref_mult, olocal_primal_size_cc));
6445: PetscCall(PetscFree2(pcbddc->local_primal_ref_node, pcbddc->local_primal_ref_mult));
6446: PetscCall(PetscFree(pcbddc->primal_indices_local_idxs));
6448: if (!pcbddc->adaptive_selection) {
6449: IS ISForVertices, *ISForFaces, *ISForEdges;
6450: MatNullSpace nearnullsp;
6451: const Vec *nearnullvecs;
6452: Vec *localnearnullsp;
6453: PetscScalar *array;
6454: PetscInt n_ISForFaces, n_ISForEdges, nnsp_size, o_nf, o_ne;
6455: PetscBool nnsp_has_cnst;
6456: /* LAPACK working arrays for SVD or POD */
6457: PetscBool skip_lapack, boolforchange;
6458: PetscScalar *work;
6459: PetscReal *singular_vals;
6460: #if defined(PETSC_USE_COMPLEX)
6461: PetscReal *rwork;
6462: #endif
6463: PetscScalar *temp_basis = NULL, *correlation_mat = NULL;
6464: PetscBLASInt dummy_int = 1;
6465: PetscScalar dummy_scalar = 1.;
6466: PetscBool use_pod = PETSC_FALSE;
6468: /* MKL SVD with same input gives different results on different processes! */
6469: #if defined(PETSC_MISSING_LAPACK_GESVD) || defined(PETSC_HAVE_MKL_LIBS)
6470: use_pod = PETSC_TRUE;
6471: #endif
6472: /* Get index sets for faces, edges and vertices from graph */
6473: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, &n_ISForFaces, &ISForFaces, &n_ISForEdges, &ISForEdges, &ISForVertices));
6474: o_nf = n_ISForFaces;
6475: o_ne = n_ISForEdges;
6476: n_vertices = 0;
6477: if (ISForVertices) PetscCall(ISGetSize(ISForVertices, &n_vertices));
6478: /* print some info */
6479: if (pcbddc->dbg_flag && (!pcbddc->sub_schurs || pcbddc->sub_schurs_rebuild)) {
6480: if (!pcbddc->dbg_viewer) pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
6481: PetscCall(PCBDDCGraphASCIIView(pcbddc->mat_graph, pcbddc->dbg_flag, pcbddc->dbg_viewer));
6482: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
6483: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "--------------------------------------------------------------\n"));
6484: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate vertices (%d)\n", PetscGlobalRank, n_vertices, pcbddc->use_vertices));
6485: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate edges (%d)\n", PetscGlobalRank, n_ISForEdges, pcbddc->use_edges));
6486: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate faces (%d)\n", PetscGlobalRank, n_ISForFaces, pcbddc->use_faces));
6487: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6488: PetscCall(PetscViewerASCIIPopSynchronized(pcbddc->dbg_viewer));
6489: }
6491: if (!pcbddc->use_vertices) n_vertices = 0;
6492: if (!pcbddc->use_edges) n_ISForEdges = 0;
6493: if (!pcbddc->use_faces) n_ISForFaces = 0;
6495: /* check if near null space is attached to global mat */
6496: if (pcbddc->use_nnsp) {
6497: PetscCall(MatGetNearNullSpace(pc->pmat, &nearnullsp));
6498: } else nearnullsp = NULL;
6500: if (nearnullsp) {
6501: PetscCall(MatNullSpaceGetVecs(nearnullsp, &nnsp_has_cnst, &nnsp_size, &nearnullvecs));
6502: /* remove any stored info */
6503: PetscCall(MatNullSpaceDestroy(&pcbddc->onearnullspace));
6504: PetscCall(PetscFree(pcbddc->onearnullvecs_state));
6505: /* store information for BDDC solver reuse */
6506: PetscCall(PetscObjectReference((PetscObject)nearnullsp));
6507: pcbddc->onearnullspace = nearnullsp;
6508: PetscCall(PetscMalloc1(nnsp_size, &pcbddc->onearnullvecs_state));
6509: for (i = 0; i < nnsp_size; i++) PetscCall(PetscObjectStateGet((PetscObject)nearnullvecs[i], &pcbddc->onearnullvecs_state[i]));
6510: } else { /* if near null space is not provided BDDC uses constants by default */
6511: nnsp_size = 0;
6512: nnsp_has_cnst = PETSC_TRUE;
6513: }
6514: /* get max number of constraints on a single cc */
6515: max_constraints = nnsp_size;
6516: if (nnsp_has_cnst) max_constraints++;
6518: /*
6519: Evaluate maximum storage size needed by the procedure
6520: - Indices for connected component i stored at "constraints_idxs + constraints_idxs_ptr[i]"
6521: - Values for constraints on connected component i stored at "constraints_data + constraints_data_ptr[i]"
6522: There can be multiple constraints per connected component
6523: */
6524: ncc = n_vertices + n_ISForFaces + n_ISForEdges;
6525: PetscCall(PetscMalloc3(ncc + 1, &constraints_idxs_ptr, ncc + 1, &constraints_data_ptr, ncc, &constraints_n));
6527: total_counts = n_ISForFaces + n_ISForEdges;
6528: total_counts *= max_constraints;
6529: total_counts += n_vertices;
6530: PetscCall(PetscBTCreate(total_counts, &change_basis));
6532: total_counts = 0;
6533: max_size_of_constraint = 0;
6534: for (i = 0; i < n_ISForEdges + n_ISForFaces; i++) {
6535: IS used_is;
6536: if (i < n_ISForEdges) {
6537: used_is = ISForEdges[i];
6538: } else {
6539: used_is = ISForFaces[i - n_ISForEdges];
6540: }
6541: PetscCall(ISGetSize(used_is, &j));
6542: total_counts += j;
6543: max_size_of_constraint = PetscMax(j, max_size_of_constraint);
6544: }
6545: PetscCall(PetscMalloc3(total_counts * max_constraints + n_vertices, &constraints_data, total_counts + n_vertices, &constraints_idxs, total_counts + n_vertices, &constraints_idxs_B));
6547: /* get local part of global near null space vectors */
6548: PetscCall(PetscMalloc1(nnsp_size, &localnearnullsp));
6549: for (k = 0; k < nnsp_size; k++) {
6550: PetscCall(VecDuplicate(pcis->vec1_N, &localnearnullsp[k]));
6551: PetscCall(VecScatterBegin(matis->rctx, nearnullvecs[k], localnearnullsp[k], INSERT_VALUES, SCATTER_FORWARD));
6552: PetscCall(VecScatterEnd(matis->rctx, nearnullvecs[k], localnearnullsp[k], INSERT_VALUES, SCATTER_FORWARD));
6553: }
6555: /* whether or not to skip lapack calls */
6556: skip_lapack = PETSC_TRUE;
6557: if (n_ISForFaces + n_ISForEdges && max_constraints > 1 && !pcbddc->use_nnsp_true) skip_lapack = PETSC_FALSE;
6559: /* First we issue queries to allocate optimal workspace for LAPACKgesvd (or LAPACKsyev if SVD is missing) */
6560: if (!skip_lapack) {
6561: PetscScalar temp_work;
6563: if (use_pod) {
6564: /* Proper Orthogonal Decomposition (POD) using the snapshot method */
6565: PetscCall(PetscMalloc1(max_constraints * max_constraints, &correlation_mat));
6566: PetscCall(PetscMalloc1(max_constraints, &singular_vals));
6567: PetscCall(PetscMalloc1(max_size_of_constraint * max_constraints, &temp_basis));
6568: #if defined(PETSC_USE_COMPLEX)
6569: PetscCall(PetscMalloc1(3 * max_constraints, &rwork));
6570: #endif
6571: /* now we evaluate the optimal workspace using query with lwork=-1 */
6572: PetscCall(PetscBLASIntCast(max_constraints, &Blas_N));
6573: PetscCall(PetscBLASIntCast(max_constraints, &Blas_LDA));
6574: lwork = -1;
6575: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6576: #if !defined(PETSC_USE_COMPLEX)
6577: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, &temp_work, &lwork, &lierr));
6578: #else
6579: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, &temp_work, &lwork, rwork, &lierr));
6580: #endif
6581: PetscCall(PetscFPTrapPop());
6582: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to SYEV Lapack routine %" PetscBLASInt_FMT, lierr);
6583: } else {
6584: #if !defined(PETSC_MISSING_LAPACK_GESVD)
6585: /* SVD */
6586: PetscInt max_n, min_n;
6587: max_n = max_size_of_constraint;
6588: min_n = max_constraints;
6589: if (max_size_of_constraint < max_constraints) {
6590: min_n = max_size_of_constraint;
6591: max_n = max_constraints;
6592: }
6593: PetscCall(PetscMalloc1(min_n, &singular_vals));
6594: #if defined(PETSC_USE_COMPLEX)
6595: PetscCall(PetscMalloc1(5 * min_n, &rwork));
6596: #endif
6597: /* now we evaluate the optimal workspace using query with lwork=-1 */
6598: lwork = -1;
6599: PetscCall(PetscBLASIntCast(max_n, &Blas_M));
6600: PetscCall(PetscBLASIntCast(min_n, &Blas_N));
6601: PetscCall(PetscBLASIntCast(max_n, &Blas_LDA));
6602: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6603: #if !defined(PETSC_USE_COMPLEX)
6604: PetscCallBLAS("LAPACKgesvd", LAPACKgesvd_("O", "N", &Blas_M, &Blas_N, &constraints_data[0], &Blas_LDA, singular_vals, &dummy_scalar, &dummy_int, &dummy_scalar, &dummy_int, &temp_work, &lwork, &lierr));
6605: #else
6606: PetscCallBLAS("LAPACKgesvd", LAPACKgesvd_("O", "N", &Blas_M, &Blas_N, &constraints_data[0], &Blas_LDA, singular_vals, &dummy_scalar, &dummy_int, &dummy_scalar, &dummy_int, &temp_work, &lwork, rwork, &lierr));
6607: #endif
6608: PetscCall(PetscFPTrapPop());
6609: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to GESVD Lapack routine %" PetscBLASInt_FMT, lierr);
6610: #else
6611: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_LIB, "This should not happen");
6612: #endif /* on missing GESVD */
6613: }
6614: /* Allocate optimal workspace */
6615: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(temp_work), &lwork));
6616: PetscCall(PetscMalloc1(lwork, &work));
6617: }
6618: /* Now we can loop on constraining sets */
6619: total_counts = 0;
6620: constraints_idxs_ptr[0] = 0;
6621: constraints_data_ptr[0] = 0;
6622: /* vertices */
6623: if (n_vertices) {
6624: PetscCall(ISGetIndices(ISForVertices, (const PetscInt **)&is_indices));
6625: PetscCall(PetscArraycpy(constraints_idxs, is_indices, n_vertices));
6626: for (i = 0; i < n_vertices; i++) {
6627: constraints_n[total_counts] = 1;
6628: constraints_data[total_counts] = 1.0;
6629: constraints_idxs_ptr[total_counts + 1] = constraints_idxs_ptr[total_counts] + 1;
6630: constraints_data_ptr[total_counts + 1] = constraints_data_ptr[total_counts] + 1;
6631: total_counts++;
6632: }
6633: PetscCall(ISRestoreIndices(ISForVertices, (const PetscInt **)&is_indices));
6634: }
6636: /* edges and faces */
6637: total_counts_cc = total_counts;
6638: for (ncc = 0; ncc < n_ISForEdges + n_ISForFaces; ncc++) {
6639: IS used_is;
6640: PetscBool idxs_copied = PETSC_FALSE;
6642: if (ncc < n_ISForEdges) {
6643: used_is = ISForEdges[ncc];
6644: boolforchange = pcbddc->use_change_of_basis; /* change or not the basis on the edge */
6645: } else {
6646: used_is = ISForFaces[ncc - n_ISForEdges];
6647: boolforchange = (PetscBool)(pcbddc->use_change_of_basis && pcbddc->use_change_on_faces); /* change or not the basis on the face */
6648: }
6649: temp_constraints = 0; /* zero the number of constraints I have on this conn comp */
6651: PetscCall(ISGetSize(used_is, &size_of_constraint));
6652: if (!size_of_constraint) continue;
6653: PetscCall(ISGetIndices(used_is, (const PetscInt **)&is_indices));
6654: if (nnsp_has_cnst) {
6655: PetscScalar quad_value;
6657: PetscCall(PetscArraycpy(constraints_idxs + constraints_idxs_ptr[total_counts_cc], is_indices, size_of_constraint));
6658: idxs_copied = PETSC_TRUE;
6660: if (!pcbddc->use_nnsp_true) {
6661: quad_value = (PetscScalar)(1.0 / PetscSqrtReal((PetscReal)size_of_constraint));
6662: } else {
6663: quad_value = 1.0;
6664: }
6665: for (j = 0; j < size_of_constraint; j++) constraints_data[constraints_data_ptr[total_counts_cc] + j] = quad_value;
6666: temp_constraints++;
6667: total_counts++;
6668: }
6669: for (k = 0; k < nnsp_size; k++) {
6670: PetscReal real_value;
6671: PetscScalar *ptr_to_data;
6673: PetscCall(VecGetArrayRead(localnearnullsp[k], (const PetscScalar **)&array));
6674: ptr_to_data = &constraints_data[constraints_data_ptr[total_counts_cc] + temp_constraints * size_of_constraint];
6675: for (j = 0; j < size_of_constraint; j++) ptr_to_data[j] = array[is_indices[j]];
6676: PetscCall(VecRestoreArrayRead(localnearnullsp[k], (const PetscScalar **)&array));
6677: /* check if array is null on the connected component */
6678: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
6679: PetscCallBLAS("BLASasum", real_value = BLASasum_(&Blas_N, ptr_to_data, &Blas_one));
6680: if (real_value > tol * size_of_constraint) { /* keep indices and values */
6681: temp_constraints++;
6682: total_counts++;
6683: if (!idxs_copied) {
6684: PetscCall(PetscArraycpy(constraints_idxs + constraints_idxs_ptr[total_counts_cc], is_indices, size_of_constraint));
6685: idxs_copied = PETSC_TRUE;
6686: }
6687: }
6688: }
6689: PetscCall(ISRestoreIndices(used_is, (const PetscInt **)&is_indices));
6690: valid_constraints = temp_constraints;
6691: if (!pcbddc->use_nnsp_true && temp_constraints) {
6692: if (temp_constraints == 1) { /* just normalize the constraint */
6693: PetscScalar norm, *ptr_to_data;
6695: ptr_to_data = &constraints_data[constraints_data_ptr[total_counts_cc]];
6696: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
6697: PetscCallBLAS("BLASdot", norm = BLASdot_(&Blas_N, ptr_to_data, &Blas_one, ptr_to_data, &Blas_one));
6698: norm = 1.0 / PetscSqrtReal(PetscRealPart(norm));
6699: PetscCallBLAS("BLASscal", BLASscal_(&Blas_N, &norm, ptr_to_data, &Blas_one));
6700: } else { /* perform SVD */
6701: PetscScalar *ptr_to_data = &constraints_data[constraints_data_ptr[total_counts_cc]];
6703: if (use_pod) {
6704: /* SVD: Y = U*S*V^H -> U (eigenvectors of Y*Y^H) = Y*V*(S)^\dag
6705: POD: Y^H*Y = V*D*V^H, D = S^H*S -> U = Y*V*D^(-1/2)
6706: -> When PETSC_USE_COMPLEX and PETSC_MISSING_LAPACK_GESVD are defined
6707: the constraints basis will differ (by a complex factor with absolute value equal to 1)
6708: from that computed using LAPACKgesvd
6709: -> This is due to a different computation of eigenvectors in LAPACKheev
6710: -> The quality of the POD-computed basis will be the same */
6711: PetscCall(PetscArrayzero(correlation_mat, temp_constraints * temp_constraints));
6712: /* Store upper triangular part of correlation matrix */
6713: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
6714: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6715: for (j = 0; j < temp_constraints; j++) {
6716: for (k = 0; k < j + 1; k++) PetscCallBLAS("BLASdot", correlation_mat[j * temp_constraints + k] = BLASdot_(&Blas_N, ptr_to_data + k * size_of_constraint, &Blas_one, ptr_to_data + j * size_of_constraint, &Blas_one));
6717: }
6718: /* compute eigenvalues and eigenvectors of correlation matrix */
6719: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_N));
6720: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_LDA));
6721: #if !defined(PETSC_USE_COMPLEX)
6722: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, work, &lwork, &lierr));
6723: #else
6724: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, work, &lwork, rwork, &lierr));
6725: #endif
6726: PetscCall(PetscFPTrapPop());
6727: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYEV Lapack routine %" PetscBLASInt_FMT, lierr);
6728: /* retain eigenvalues greater than tol: note that LAPACKsyev gives eigs in ascending order */
6729: j = 0;
6730: while (j < temp_constraints && singular_vals[j] / singular_vals[temp_constraints - 1] < tol) j++;
6731: total_counts = total_counts - j;
6732: valid_constraints = temp_constraints - j;
6733: /* scale and copy POD basis into used quadrature memory */
6734: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
6735: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_N));
6736: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_K));
6737: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
6738: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_LDB));
6739: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDC));
6740: if (j < temp_constraints) {
6741: PetscInt ii;
6742: for (k = j; k < temp_constraints; k++) singular_vals[k] = 1.0 / PetscSqrtReal(singular_vals[k]);
6743: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6744: PetscCallBLAS("BLASgemm", BLASgemm_("N", "N", &Blas_M, &Blas_N, &Blas_K, &one, ptr_to_data, &Blas_LDA, correlation_mat, &Blas_LDB, &zero, temp_basis, &Blas_LDC));
6745: PetscCall(PetscFPTrapPop());
6746: for (k = 0; k < temp_constraints - j; k++) {
6747: for (ii = 0; ii < size_of_constraint; ii++) ptr_to_data[k * size_of_constraint + ii] = singular_vals[temp_constraints - 1 - k] * temp_basis[(temp_constraints - 1 - k) * size_of_constraint + ii];
6748: }
6749: }
6750: } else {
6751: #if !defined(PETSC_MISSING_LAPACK_GESVD)
6752: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
6753: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_N));
6754: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
6755: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6756: #if !defined(PETSC_USE_COMPLEX)
6757: PetscCallBLAS("LAPACKgesvd", LAPACKgesvd_("O", "N", &Blas_M, &Blas_N, ptr_to_data, &Blas_LDA, singular_vals, &dummy_scalar, &dummy_int, &dummy_scalar, &dummy_int, work, &lwork, &lierr));
6758: #else
6759: PetscCallBLAS("LAPACKgesvd", LAPACKgesvd_("O", "N", &Blas_M, &Blas_N, ptr_to_data, &Blas_LDA, singular_vals, &dummy_scalar, &dummy_int, &dummy_scalar, &dummy_int, work, &lwork, rwork, &lierr));
6760: #endif
6761: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in GESVD Lapack routine %" PetscBLASInt_FMT, lierr);
6762: PetscCall(PetscFPTrapPop());
6763: /* retain eigenvalues greater than tol: note that LAPACKgesvd gives eigs in descending order */
6764: k = temp_constraints;
6765: if (k > size_of_constraint) k = size_of_constraint;
6766: j = 0;
6767: while (j < k && singular_vals[k - j - 1] / singular_vals[0] < tol) j++;
6768: valid_constraints = k - j;
6769: total_counts = total_counts - temp_constraints + valid_constraints;
6770: #else
6771: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_LIB, "This should not happen");
6772: #endif /* on missing GESVD */
6773: }
6774: }
6775: }
6776: /* update pointers information */
6777: if (valid_constraints) {
6778: constraints_n[total_counts_cc] = valid_constraints;
6779: constraints_idxs_ptr[total_counts_cc + 1] = constraints_idxs_ptr[total_counts_cc] + size_of_constraint;
6780: constraints_data_ptr[total_counts_cc + 1] = constraints_data_ptr[total_counts_cc] + size_of_constraint * valid_constraints;
6781: /* set change_of_basis flag */
6782: if (boolforchange) PetscCall(PetscBTSet(change_basis, total_counts_cc));
6783: total_counts_cc++;
6784: }
6785: }
6786: /* free workspace */
6787: if (!skip_lapack) {
6788: PetscCall(PetscFree(work));
6789: #if defined(PETSC_USE_COMPLEX)
6790: PetscCall(PetscFree(rwork));
6791: #endif
6792: PetscCall(PetscFree(singular_vals));
6793: PetscCall(PetscFree(correlation_mat));
6794: PetscCall(PetscFree(temp_basis));
6795: }
6796: for (k = 0; k < nnsp_size; k++) PetscCall(VecDestroy(&localnearnullsp[k]));
6797: PetscCall(PetscFree(localnearnullsp));
6798: /* free index sets of faces, edges and vertices */
6799: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, &o_nf, &ISForFaces, &o_ne, &ISForEdges, &ISForVertices));
6800: } else {
6801: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
6803: total_counts = 0;
6804: n_vertices = 0;
6805: if (sub_schurs->is_vertices && pcbddc->use_vertices) PetscCall(ISGetLocalSize(sub_schurs->is_vertices, &n_vertices));
6806: max_constraints = 0;
6807: total_counts_cc = 0;
6808: for (i = 0; i < sub_schurs->n_subs + n_vertices; i++) {
6809: total_counts += pcbddc->adaptive_constraints_n[i];
6810: if (pcbddc->adaptive_constraints_n[i]) total_counts_cc++;
6811: max_constraints = PetscMax(max_constraints, pcbddc->adaptive_constraints_n[i]);
6812: }
6813: constraints_idxs_ptr = pcbddc->adaptive_constraints_idxs_ptr;
6814: constraints_data_ptr = pcbddc->adaptive_constraints_data_ptr;
6815: constraints_idxs = pcbddc->adaptive_constraints_idxs;
6816: constraints_data = pcbddc->adaptive_constraints_data;
6817: /* constraints_n differs from pcbddc->adaptive_constraints_n */
6818: PetscCall(PetscMalloc1(total_counts_cc, &constraints_n));
6819: total_counts_cc = 0;
6820: for (i = 0; i < sub_schurs->n_subs + n_vertices; i++) {
6821: if (pcbddc->adaptive_constraints_n[i]) constraints_n[total_counts_cc++] = pcbddc->adaptive_constraints_n[i];
6822: }
6824: max_size_of_constraint = 0;
6825: for (i = 0; i < total_counts_cc; i++) max_size_of_constraint = PetscMax(max_size_of_constraint, constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i]);
6826: PetscCall(PetscMalloc1(constraints_idxs_ptr[total_counts_cc], &constraints_idxs_B));
6827: /* Change of basis */
6828: PetscCall(PetscBTCreate(total_counts_cc, &change_basis));
6829: if (pcbddc->use_change_of_basis) {
6830: for (i = 0; i < sub_schurs->n_subs; i++) {
6831: if (PetscBTLookup(sub_schurs->is_edge, i) || pcbddc->use_change_on_faces) PetscCall(PetscBTSet(change_basis, i + n_vertices));
6832: }
6833: }
6834: }
6835: pcbddc->local_primal_size = total_counts;
6836: PetscCall(PetscMalloc1(pcbddc->local_primal_size + pcbddc->benign_n, &pcbddc->primal_indices_local_idxs));
6838: /* map constraints_idxs in boundary numbering */
6839: if (pcbddc->use_change_of_basis) {
6840: PetscCall(ISGlobalToLocalMappingApply(pcis->BtoNmap, IS_GTOLM_DROP, constraints_idxs_ptr[total_counts_cc], constraints_idxs, &i, constraints_idxs_B));
6841: PetscCheck(i == constraints_idxs_ptr[total_counts_cc], PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in boundary numbering for constraints indices %" PetscInt_FMT " != %" PetscInt_FMT, constraints_idxs_ptr[total_counts_cc], i);
6842: }
6844: /* Create constraint matrix */
6845: PetscCall(MatCreate(PETSC_COMM_SELF, &pcbddc->ConstraintMatrix));
6846: PetscCall(MatSetType(pcbddc->ConstraintMatrix, MATAIJ));
6847: PetscCall(MatSetSizes(pcbddc->ConstraintMatrix, pcbddc->local_primal_size, pcis->n, pcbddc->local_primal_size, pcis->n));
6849: /* find primal_dofs: subdomain corners plus dofs selected as primal after change of basis */
6850: /* determine if a QR strategy is needed for change of basis */
6851: qr_needed = pcbddc->use_qr_single;
6852: PetscCall(PetscBTCreate(total_counts_cc, &qr_needed_idx));
6853: total_primal_vertices = 0;
6854: pcbddc->local_primal_size_cc = 0;
6855: for (i = 0; i < total_counts_cc; i++) {
6856: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
6857: if (size_of_constraint == 1 && pcbddc->mat_graph->custom_minimal_size) {
6858: pcbddc->primal_indices_local_idxs[total_primal_vertices++] = constraints_idxs[constraints_idxs_ptr[i]];
6859: pcbddc->local_primal_size_cc += 1;
6860: } else if (PetscBTLookup(change_basis, i)) {
6861: for (k = 0; k < constraints_n[i]; k++) pcbddc->primal_indices_local_idxs[total_primal_vertices++] = constraints_idxs[constraints_idxs_ptr[i] + k];
6862: pcbddc->local_primal_size_cc += constraints_n[i];
6863: if (constraints_n[i] > 1 || pcbddc->use_qr_single) {
6864: PetscCall(PetscBTSet(qr_needed_idx, i));
6865: qr_needed = PETSC_TRUE;
6866: }
6867: } else {
6868: pcbddc->local_primal_size_cc += 1;
6869: }
6870: }
6871: /* note that the local variable n_vertices used below stores the number of pointwise constraints */
6872: pcbddc->n_vertices = total_primal_vertices;
6873: /* permute indices in order to have a sorted set of vertices */
6874: PetscCall(PetscSortInt(total_primal_vertices, pcbddc->primal_indices_local_idxs));
6875: PetscCall(PetscMalloc2(pcbddc->local_primal_size_cc + pcbddc->benign_n, &pcbddc->local_primal_ref_node, pcbddc->local_primal_size_cc + pcbddc->benign_n, &pcbddc->local_primal_ref_mult));
6876: PetscCall(PetscArraycpy(pcbddc->local_primal_ref_node, pcbddc->primal_indices_local_idxs, total_primal_vertices));
6877: for (i = 0; i < total_primal_vertices; i++) pcbddc->local_primal_ref_mult[i] = 1;
6879: /* nonzero structure of constraint matrix */
6880: /* and get reference dof for local constraints */
6881: PetscCall(PetscMalloc1(pcbddc->local_primal_size, &nnz));
6882: for (i = 0; i < total_primal_vertices; i++) nnz[i] = 1;
6884: j = total_primal_vertices;
6885: total_counts = total_primal_vertices;
6886: cum = total_primal_vertices;
6887: for (i = n_vertices; i < total_counts_cc; i++) {
6888: if (!PetscBTLookup(change_basis, i)) {
6889: pcbddc->local_primal_ref_node[cum] = constraints_idxs[constraints_idxs_ptr[i]];
6890: pcbddc->local_primal_ref_mult[cum] = constraints_n[i];
6891: cum++;
6892: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
6893: for (k = 0; k < constraints_n[i]; k++) {
6894: pcbddc->primal_indices_local_idxs[total_counts++] = constraints_idxs[constraints_idxs_ptr[i] + k];
6895: nnz[j + k] = size_of_constraint;
6896: }
6897: j += constraints_n[i];
6898: }
6899: }
6900: PetscCall(MatSeqAIJSetPreallocation(pcbddc->ConstraintMatrix, 0, nnz));
6901: PetscCall(MatSetOption(pcbddc->ConstraintMatrix, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
6902: PetscCall(PetscFree(nnz));
6904: /* set values in constraint matrix */
6905: for (i = 0; i < total_primal_vertices; i++) PetscCall(MatSetValue(pcbddc->ConstraintMatrix, i, pcbddc->local_primal_ref_node[i], 1.0, INSERT_VALUES));
6906: total_counts = total_primal_vertices;
6907: for (i = n_vertices; i < total_counts_cc; i++) {
6908: if (!PetscBTLookup(change_basis, i)) {
6909: PetscInt *cols;
6911: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
6912: cols = constraints_idxs + constraints_idxs_ptr[i];
6913: for (k = 0; k < constraints_n[i]; k++) {
6914: PetscInt row = total_counts + k;
6915: PetscScalar *vals;
6917: vals = constraints_data + constraints_data_ptr[i] + k * size_of_constraint;
6918: PetscCall(MatSetValues(pcbddc->ConstraintMatrix, 1, &row, size_of_constraint, cols, vals, INSERT_VALUES));
6919: }
6920: total_counts += constraints_n[i];
6921: }
6922: }
6923: /* assembling */
6924: PetscCall(MatAssemblyBegin(pcbddc->ConstraintMatrix, MAT_FINAL_ASSEMBLY));
6925: PetscCall(MatAssemblyEnd(pcbddc->ConstraintMatrix, MAT_FINAL_ASSEMBLY));
6926: PetscCall(MatViewFromOptions(pcbddc->ConstraintMatrix, (PetscObject)pc, "-pc_bddc_constraint_mat_view"));
6928: /* Create matrix for change of basis. We don't need it in case pcbddc->use_change_of_basis is FALSE */
6929: if (pcbddc->use_change_of_basis) {
6930: /* dual and primal dofs on a single cc */
6931: PetscInt dual_dofs, primal_dofs;
6932: /* working stuff for GEQRF */
6933: PetscScalar *qr_basis = NULL, *qr_tau = NULL, *qr_work = NULL, lqr_work_t;
6934: PetscBLASInt lqr_work;
6935: /* working stuff for UNGQR */
6936: PetscScalar *gqr_work = NULL, lgqr_work_t = 0.0;
6937: PetscBLASInt lgqr_work;
6938: /* working stuff for TRTRS */
6939: PetscScalar *trs_rhs = NULL;
6940: PetscBLASInt Blas_NRHS;
6941: /* pointers for values insertion into change of basis matrix */
6942: PetscInt *start_rows, *start_cols;
6943: PetscScalar *start_vals;
6944: /* working stuff for values insertion */
6945: PetscBT is_primal;
6946: PetscInt *aux_primal_numbering_B;
6947: /* matrix sizes */
6948: PetscInt global_size, local_size;
6949: /* temporary change of basis */
6950: Mat localChangeOfBasisMatrix;
6951: /* extra space for debugging */
6952: PetscScalar *dbg_work = NULL;
6954: PetscCall(MatCreate(PETSC_COMM_SELF, &localChangeOfBasisMatrix));
6955: PetscCall(MatSetType(localChangeOfBasisMatrix, MATAIJ));
6956: PetscCall(MatSetSizes(localChangeOfBasisMatrix, pcis->n, pcis->n, pcis->n, pcis->n));
6957: /* nonzeros for local mat */
6958: PetscCall(PetscMalloc1(pcis->n, &nnz));
6959: if (!pcbddc->benign_change || pcbddc->fake_change) {
6960: for (i = 0; i < pcis->n; i++) nnz[i] = 1;
6961: } else {
6962: const PetscInt *ii;
6963: PetscInt n;
6964: PetscBool flg_row;
6965: PetscCall(MatGetRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, NULL, &flg_row));
6966: for (i = 0; i < n; i++) nnz[i] = ii[i + 1] - ii[i];
6967: PetscCall(MatRestoreRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, NULL, &flg_row));
6968: }
6969: for (i = n_vertices; i < total_counts_cc; i++) {
6970: if (PetscBTLookup(change_basis, i)) {
6971: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
6972: if (PetscBTLookup(qr_needed_idx, i)) {
6973: for (j = 0; j < size_of_constraint; j++) nnz[constraints_idxs[constraints_idxs_ptr[i] + j]] = size_of_constraint;
6974: } else {
6975: nnz[constraints_idxs[constraints_idxs_ptr[i]]] = size_of_constraint;
6976: for (j = 1; j < size_of_constraint; j++) nnz[constraints_idxs[constraints_idxs_ptr[i] + j]] = 2;
6977: }
6978: }
6979: }
6980: PetscCall(MatSeqAIJSetPreallocation(localChangeOfBasisMatrix, 0, nnz));
6981: PetscCall(MatSetOption(localChangeOfBasisMatrix, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
6982: PetscCall(PetscFree(nnz));
6983: /* Set interior change in the matrix */
6984: if (!pcbddc->benign_change || pcbddc->fake_change) {
6985: for (i = 0; i < pcis->n; i++) PetscCall(MatSetValue(localChangeOfBasisMatrix, i, i, 1.0, INSERT_VALUES));
6986: } else {
6987: const PetscInt *ii, *jj;
6988: PetscScalar *aa;
6989: PetscInt n;
6990: PetscBool flg_row;
6991: PetscCall(MatGetRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg_row));
6992: PetscCall(MatSeqAIJGetArray(pcbddc->benign_change, &aa));
6993: for (i = 0; i < n; i++) PetscCall(MatSetValues(localChangeOfBasisMatrix, 1, &i, ii[i + 1] - ii[i], jj + ii[i], aa + ii[i], INSERT_VALUES));
6994: PetscCall(MatSeqAIJRestoreArray(pcbddc->benign_change, &aa));
6995: PetscCall(MatRestoreRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg_row));
6996: }
6998: if (pcbddc->dbg_flag) {
6999: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "--------------------------------------------------------------\n"));
7000: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Checking change of basis computation for subdomain %04d\n", PetscGlobalRank));
7001: }
7003: /* Now we loop on the constraints which need a change of basis */
7004: /*
7005: Change of basis matrix is evaluated similarly to the FIRST APPROACH in
7006: Klawonn and Widlund, Dual-primal FETI-DP methods for linear elasticity, (see Sect 6.2.1)
7008: Basic blocks of change of basis matrix T computed:
7010: - By using the following block transformation if there is only a primal dof on the cc (and -pc_bddc_use_qr_single is not specified)
7012: | 1 0 ... 0 s_1/S |
7013: | 0 1 ... 0 s_2/S |
7014: | ... |
7015: | 0 ... 1 s_{n-1}/S |
7016: | -s_1/s_n ... -s_{n-1}/s_n s_n/S |
7018: with S = \sum_{i=1}^n s_i^2
7019: NOTE: in the above example, the primal dof is the last one of the edge in LOCAL ordering
7020: in the current implementation, the primal dof is the first one of the edge in GLOBAL ordering
7022: - QR decomposition of constraints otherwise
7023: */
7024: if (qr_needed && max_size_of_constraint) {
7025: /* space to store Q */
7026: PetscCall(PetscMalloc1(max_size_of_constraint * max_size_of_constraint, &qr_basis));
7027: /* array to store scaling factors for reflectors */
7028: PetscCall(PetscMalloc1(max_constraints, &qr_tau));
7029: /* first we issue queries for optimal work */
7030: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_M));
7031: PetscCall(PetscBLASIntCast(max_constraints, &Blas_N));
7032: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_LDA));
7033: lqr_work = -1;
7034: PetscCallBLAS("LAPACKgeqrf", LAPACKgeqrf_(&Blas_M, &Blas_N, qr_basis, &Blas_LDA, qr_tau, &lqr_work_t, &lqr_work, &lierr));
7035: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to GEQRF Lapack routine %" PetscBLASInt_FMT, lierr);
7036: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(lqr_work_t), &lqr_work));
7037: PetscCall(PetscMalloc1(lqr_work, &qr_work));
7038: lgqr_work = -1;
7039: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_M));
7040: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_N));
7041: PetscCall(PetscBLASIntCast(max_constraints, &Blas_K));
7042: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_LDA));
7043: if (Blas_K > Blas_M) Blas_K = Blas_M; /* adjust just for computing optimal work */
7044: PetscCallBLAS("LAPACKorgqr", LAPACKorgqr_(&Blas_M, &Blas_N, &Blas_K, qr_basis, &Blas_LDA, qr_tau, &lgqr_work_t, &lgqr_work, &lierr));
7045: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to ORGQR/UNGQR Lapack routine %" PetscBLASInt_FMT, lierr);
7046: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(lgqr_work_t), &lgqr_work));
7047: PetscCall(PetscMalloc1(lgqr_work, &gqr_work));
7048: /* array to store rhs and solution of triangular solver */
7049: PetscCall(PetscMalloc1(max_constraints * max_constraints, &trs_rhs));
7050: /* allocating workspace for check */
7051: if (pcbddc->dbg_flag) PetscCall(PetscMalloc1(max_size_of_constraint * (max_constraints + max_size_of_constraint), &dbg_work));
7052: }
7053: /* array to store whether a node is primal or not */
7054: PetscCall(PetscBTCreate(pcis->n_B, &is_primal));
7055: PetscCall(PetscMalloc1(total_primal_vertices, &aux_primal_numbering_B));
7056: PetscCall(ISGlobalToLocalMappingApply(pcis->BtoNmap, IS_GTOLM_DROP, total_primal_vertices, pcbddc->local_primal_ref_node, &i, aux_primal_numbering_B));
7057: PetscCheck(i == total_primal_vertices, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in boundary numbering for BDDC vertices! %" PetscInt_FMT " != %" PetscInt_FMT, total_primal_vertices, i);
7058: for (i = 0; i < total_primal_vertices; i++) PetscCall(PetscBTSet(is_primal, aux_primal_numbering_B[i]));
7059: PetscCall(PetscFree(aux_primal_numbering_B));
7061: /* loop on constraints and see whether or not they need a change of basis and compute it */
7062: for (total_counts = n_vertices; total_counts < total_counts_cc; total_counts++) {
7063: size_of_constraint = constraints_idxs_ptr[total_counts + 1] - constraints_idxs_ptr[total_counts];
7064: if (PetscBTLookup(change_basis, total_counts)) {
7065: /* get constraint info */
7066: primal_dofs = constraints_n[total_counts];
7067: dual_dofs = size_of_constraint - primal_dofs;
7069: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Constraints %" PetscInt_FMT ": %" PetscInt_FMT " need a change of basis (size %" PetscInt_FMT ")\n", total_counts, primal_dofs, size_of_constraint));
7071: if (PetscBTLookup(qr_needed_idx, total_counts)) { /* QR */
7073: /* copy quadrature constraints for change of basis check */
7074: if (pcbddc->dbg_flag) PetscCall(PetscArraycpy(dbg_work, &constraints_data[constraints_data_ptr[total_counts]], size_of_constraint * primal_dofs));
7075: /* copy temporary constraints into larger work vector (in order to store all columns of Q) */
7076: PetscCall(PetscArraycpy(qr_basis, &constraints_data[constraints_data_ptr[total_counts]], size_of_constraint * primal_dofs));
7078: /* compute QR decomposition of constraints */
7079: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
7080: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_N));
7081: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7082: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7083: PetscCallBLAS("LAPACKgeqrf", LAPACKgeqrf_(&Blas_M, &Blas_N, qr_basis, &Blas_LDA, qr_tau, qr_work, &lqr_work, &lierr));
7084: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in GEQRF Lapack routine %" PetscBLASInt_FMT, lierr);
7085: PetscCall(PetscFPTrapPop());
7087: /* explicitly compute R^-T */
7088: PetscCall(PetscArrayzero(trs_rhs, primal_dofs * primal_dofs));
7089: for (j = 0; j < primal_dofs; j++) trs_rhs[j * (primal_dofs + 1)] = 1.0;
7090: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_N));
7091: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_NRHS));
7092: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7093: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_LDB));
7094: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7095: PetscCallBLAS("LAPACKtrtrs", LAPACKtrtrs_("U", "T", "N", &Blas_N, &Blas_NRHS, qr_basis, &Blas_LDA, trs_rhs, &Blas_LDB, &lierr));
7096: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in TRTRS Lapack routine %" PetscBLASInt_FMT, lierr);
7097: PetscCall(PetscFPTrapPop());
7099: /* explicitly compute all columns of Q (Q = [Q1 | Q2]) overwriting QR factorization in qr_basis */
7100: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
7101: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
7102: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_K));
7103: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7104: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7105: PetscCallBLAS("LAPACKorgqr", LAPACKorgqr_(&Blas_M, &Blas_N, &Blas_K, qr_basis, &Blas_LDA, qr_tau, gqr_work, &lgqr_work, &lierr));
7106: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in ORGQR/UNGQR Lapack routine %" PetscBLASInt_FMT, lierr);
7107: PetscCall(PetscFPTrapPop());
7109: /* first primal_dofs columns of Q need to be re-scaled in order to be unitary w.r.t constraints
7110: i.e. C_{pxn}*Q_{nxn} should be equal to [I_pxp | 0_pxd] (see check below)
7111: where n=size_of_constraint, p=primal_dofs, d=dual_dofs (n=p+d), I and 0 identity and null matrix resp. */
7112: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
7113: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_N));
7114: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_K));
7115: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7116: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_LDB));
7117: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDC));
7118: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7119: PetscCallBLAS("BLASgemm", BLASgemm_("N", "N", &Blas_M, &Blas_N, &Blas_K, &one, qr_basis, &Blas_LDA, trs_rhs, &Blas_LDB, &zero, constraints_data + constraints_data_ptr[total_counts], &Blas_LDC));
7120: PetscCall(PetscFPTrapPop());
7121: PetscCall(PetscArraycpy(qr_basis, &constraints_data[constraints_data_ptr[total_counts]], size_of_constraint * primal_dofs));
7123: /* insert values in change of basis matrix respecting global ordering of new primal dofs */
7124: start_rows = &constraints_idxs[constraints_idxs_ptr[total_counts]];
7125: /* insert cols for primal dofs */
7126: for (j = 0; j < primal_dofs; j++) {
7127: start_vals = &qr_basis[j * size_of_constraint];
7128: start_cols = &constraints_idxs[constraints_idxs_ptr[total_counts] + j];
7129: PetscCall(MatSetValues(localChangeOfBasisMatrix, size_of_constraint, start_rows, 1, start_cols, start_vals, INSERT_VALUES));
7130: }
7131: /* insert cols for dual dofs */
7132: for (j = 0, k = 0; j < dual_dofs; k++) {
7133: if (!PetscBTLookup(is_primal, constraints_idxs_B[constraints_idxs_ptr[total_counts] + k])) {
7134: start_vals = &qr_basis[(primal_dofs + j) * size_of_constraint];
7135: start_cols = &constraints_idxs[constraints_idxs_ptr[total_counts] + k];
7136: PetscCall(MatSetValues(localChangeOfBasisMatrix, size_of_constraint, start_rows, 1, start_cols, start_vals, INSERT_VALUES));
7137: j++;
7138: }
7139: }
7141: /* check change of basis */
7142: if (pcbddc->dbg_flag) {
7143: PetscInt ii, jj;
7144: PetscBool valid_qr = PETSC_TRUE;
7145: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_M));
7146: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
7147: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_K));
7148: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7149: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDB));
7150: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_LDC));
7151: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7152: PetscCallBLAS("BLASgemm", BLASgemm_("T", "N", &Blas_M, &Blas_N, &Blas_K, &one, dbg_work, &Blas_LDA, qr_basis, &Blas_LDB, &zero, &dbg_work[size_of_constraint * primal_dofs], &Blas_LDC));
7153: PetscCall(PetscFPTrapPop());
7154: for (jj = 0; jj < size_of_constraint; jj++) {
7155: for (ii = 0; ii < primal_dofs; ii++) {
7156: if (ii != jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii]) > 1.e-12) valid_qr = PETSC_FALSE;
7157: if (ii == jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii] - (PetscReal)1) > 1.e-12) valid_qr = PETSC_FALSE;
7158: }
7159: }
7160: if (!valid_qr) {
7161: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "\t-> wrong change of basis!\n"));
7162: for (jj = 0; jj < size_of_constraint; jj++) {
7163: for (ii = 0; ii < primal_dofs; ii++) {
7164: if (ii != jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii]) > 1.e-12) {
7165: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "\tQr basis function %" PetscInt_FMT " is not orthogonal to constraint %" PetscInt_FMT " (%1.14e)!\n", jj, ii, (double)PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii])));
7166: }
7167: if (ii == jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii] - (PetscReal)1) > 1.e-12) {
7168: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "\tQr basis function %" PetscInt_FMT " is not unitary w.r.t constraint %" PetscInt_FMT " (%1.14e)!\n", jj, ii, (double)PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii])));
7169: }
7170: }
7171: }
7172: } else {
7173: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "\t-> right change of basis!\n"));
7174: }
7175: }
7176: } else { /* simple transformation block */
7177: PetscInt row, col;
7178: PetscScalar val, norm;
7180: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
7181: PetscCallBLAS("BLASdot", norm = BLASdot_(&Blas_N, constraints_data + constraints_data_ptr[total_counts], &Blas_one, constraints_data + constraints_data_ptr[total_counts], &Blas_one));
7182: for (j = 0; j < size_of_constraint; j++) {
7183: PetscInt row_B = constraints_idxs_B[constraints_idxs_ptr[total_counts] + j];
7184: row = constraints_idxs[constraints_idxs_ptr[total_counts] + j];
7185: if (!PetscBTLookup(is_primal, row_B)) {
7186: col = constraints_idxs[constraints_idxs_ptr[total_counts]];
7187: PetscCall(MatSetValue(localChangeOfBasisMatrix, row, row, 1.0, INSERT_VALUES));
7188: PetscCall(MatSetValue(localChangeOfBasisMatrix, row, col, constraints_data[constraints_data_ptr[total_counts] + j] / norm, INSERT_VALUES));
7189: } else {
7190: for (k = 0; k < size_of_constraint; k++) {
7191: col = constraints_idxs[constraints_idxs_ptr[total_counts] + k];
7192: if (row != col) {
7193: val = -constraints_data[constraints_data_ptr[total_counts] + k] / constraints_data[constraints_data_ptr[total_counts]];
7194: } else {
7195: val = constraints_data[constraints_data_ptr[total_counts]] / norm;
7196: }
7197: PetscCall(MatSetValue(localChangeOfBasisMatrix, row, col, val, INSERT_VALUES));
7198: }
7199: }
7200: }
7201: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "\t-> using standard change of basis\n"));
7202: }
7203: } else {
7204: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Constraint %" PetscInt_FMT " does not need a change of basis (size %" PetscInt_FMT ")\n", total_counts, size_of_constraint));
7205: }
7206: }
7208: /* free workspace */
7209: if (qr_needed) {
7210: if (pcbddc->dbg_flag) PetscCall(PetscFree(dbg_work));
7211: PetscCall(PetscFree(trs_rhs));
7212: PetscCall(PetscFree(qr_tau));
7213: PetscCall(PetscFree(qr_work));
7214: PetscCall(PetscFree(gqr_work));
7215: PetscCall(PetscFree(qr_basis));
7216: }
7217: PetscCall(PetscBTDestroy(&is_primal));
7218: PetscCall(MatAssemblyBegin(localChangeOfBasisMatrix, MAT_FINAL_ASSEMBLY));
7219: PetscCall(MatAssemblyEnd(localChangeOfBasisMatrix, MAT_FINAL_ASSEMBLY));
7221: /* assembling of global change of variable */
7222: if (!pcbddc->fake_change) {
7223: Mat tmat;
7224: PetscInt bs;
7226: PetscCall(VecGetSize(pcis->vec1_global, &global_size));
7227: PetscCall(VecGetLocalSize(pcis->vec1_global, &local_size));
7228: PetscCall(MatDuplicate(pc->pmat, MAT_DO_NOT_COPY_VALUES, &tmat));
7229: PetscCall(MatISSetLocalMat(tmat, localChangeOfBasisMatrix));
7230: PetscCall(MatAssemblyBegin(tmat, MAT_FINAL_ASSEMBLY));
7231: PetscCall(MatAssemblyEnd(tmat, MAT_FINAL_ASSEMBLY));
7232: PetscCall(MatCreate(PetscObjectComm((PetscObject)pc), &pcbddc->ChangeOfBasisMatrix));
7233: PetscCall(MatSetType(pcbddc->ChangeOfBasisMatrix, MATAIJ));
7234: PetscCall(MatGetBlockSize(pc->pmat, &bs));
7235: PetscCall(MatSetBlockSize(pcbddc->ChangeOfBasisMatrix, bs));
7236: PetscCall(MatSetSizes(pcbddc->ChangeOfBasisMatrix, local_size, local_size, global_size, global_size));
7237: PetscCall(MatISSetMPIXAIJPreallocation_Private(tmat, pcbddc->ChangeOfBasisMatrix, PETSC_TRUE));
7238: PetscCall(MatConvert(tmat, MATAIJ, MAT_REUSE_MATRIX, &pcbddc->ChangeOfBasisMatrix));
7239: PetscCall(MatDestroy(&tmat));
7240: PetscCall(VecSet(pcis->vec1_global, 0.0));
7241: PetscCall(VecSet(pcis->vec1_N, 1.0));
7242: PetscCall(VecScatterBegin(matis->rctx, pcis->vec1_N, pcis->vec1_global, ADD_VALUES, SCATTER_REVERSE));
7243: PetscCall(VecScatterEnd(matis->rctx, pcis->vec1_N, pcis->vec1_global, ADD_VALUES, SCATTER_REVERSE));
7244: PetscCall(VecReciprocal(pcis->vec1_global));
7245: PetscCall(MatDiagonalScale(pcbddc->ChangeOfBasisMatrix, pcis->vec1_global, NULL));
7247: /* check */
7248: if (pcbddc->dbg_flag) {
7249: PetscReal error;
7250: Vec x, x_change;
7252: PetscCall(VecDuplicate(pcis->vec1_global, &x));
7253: PetscCall(VecDuplicate(pcis->vec1_global, &x_change));
7254: PetscCall(VecSetRandom(x, NULL));
7255: PetscCall(VecCopy(x, pcis->vec1_global));
7256: PetscCall(VecScatterBegin(matis->rctx, x, pcis->vec1_N, INSERT_VALUES, SCATTER_FORWARD));
7257: PetscCall(VecScatterEnd(matis->rctx, x, pcis->vec1_N, INSERT_VALUES, SCATTER_FORWARD));
7258: PetscCall(MatMult(localChangeOfBasisMatrix, pcis->vec1_N, pcis->vec2_N));
7259: PetscCall(VecScatterBegin(matis->rctx, pcis->vec2_N, x, INSERT_VALUES, SCATTER_REVERSE));
7260: PetscCall(VecScatterEnd(matis->rctx, pcis->vec2_N, x, INSERT_VALUES, SCATTER_REVERSE));
7261: PetscCall(MatMult(pcbddc->ChangeOfBasisMatrix, pcis->vec1_global, x_change));
7262: PetscCall(VecAXPY(x, -1.0, x_change));
7263: PetscCall(VecNorm(x, NORM_INFINITY, &error));
7264: PetscCheck(error <= PETSC_SMALL, PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "Error global vs local change on N: %1.6e", (double)error);
7265: PetscCall(VecDestroy(&x));
7266: PetscCall(VecDestroy(&x_change));
7267: }
7268: /* adapt sub_schurs computed (if any) */
7269: if (pcbddc->use_deluxe_scaling) {
7270: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
7272: PetscCheck(!pcbddc->use_change_of_basis || !pcbddc->adaptive_userdefined, PetscObjectComm((PetscObject)pc), PETSC_ERR_SUP, "Cannot mix automatic change of basis, adaptive selection and user-defined constraints");
7273: if (sub_schurs && sub_schurs->S_Ej_all) {
7274: Mat S_new, tmat;
7275: IS is_all_N, is_V_Sall = NULL;
7277: PetscCall(ISLocalToGlobalMappingApplyIS(pcis->BtoNmap, sub_schurs->is_Ej_all, &is_all_N));
7278: PetscCall(MatCreateSubMatrix(localChangeOfBasisMatrix, is_all_N, is_all_N, MAT_INITIAL_MATRIX, &tmat));
7279: if (pcbddc->deluxe_zerorows) {
7280: ISLocalToGlobalMapping NtoSall;
7281: IS is_V;
7282: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, pcbddc->n_vertices, pcbddc->local_primal_ref_node, PETSC_COPY_VALUES, &is_V));
7283: PetscCall(ISLocalToGlobalMappingCreateIS(is_all_N, &NtoSall));
7284: PetscCall(ISGlobalToLocalMappingApplyIS(NtoSall, IS_GTOLM_DROP, is_V, &is_V_Sall));
7285: PetscCall(ISLocalToGlobalMappingDestroy(&NtoSall));
7286: PetscCall(ISDestroy(&is_V));
7287: }
7288: PetscCall(ISDestroy(&is_all_N));
7289: PetscCall(MatPtAP(sub_schurs->S_Ej_all, tmat, MAT_INITIAL_MATRIX, 1.0, &S_new));
7290: PetscCall(MatDestroy(&sub_schurs->S_Ej_all));
7291: PetscCall(PetscObjectReference((PetscObject)S_new));
7292: if (pcbddc->deluxe_zerorows) {
7293: const PetscScalar *array;
7294: const PetscInt *idxs_V, *idxs_all;
7295: PetscInt i, n_V;
7297: PetscCall(MatZeroRowsColumnsIS(S_new, is_V_Sall, 1., NULL, NULL));
7298: PetscCall(ISGetLocalSize(is_V_Sall, &n_V));
7299: PetscCall(ISGetIndices(is_V_Sall, &idxs_V));
7300: PetscCall(ISGetIndices(sub_schurs->is_Ej_all, &idxs_all));
7301: PetscCall(VecGetArrayRead(pcis->D, &array));
7302: for (i = 0; i < n_V; i++) {
7303: PetscScalar val;
7304: PetscInt idx;
7306: idx = idxs_V[i];
7307: val = array[idxs_all[idxs_V[i]]];
7308: PetscCall(MatSetValue(S_new, idx, idx, val, INSERT_VALUES));
7309: }
7310: PetscCall(MatAssemblyBegin(S_new, MAT_FINAL_ASSEMBLY));
7311: PetscCall(MatAssemblyEnd(S_new, MAT_FINAL_ASSEMBLY));
7312: PetscCall(VecRestoreArrayRead(pcis->D, &array));
7313: PetscCall(ISRestoreIndices(sub_schurs->is_Ej_all, &idxs_all));
7314: PetscCall(ISRestoreIndices(is_V_Sall, &idxs_V));
7315: }
7316: sub_schurs->S_Ej_all = S_new;
7317: PetscCall(MatDestroy(&S_new));
7318: if (sub_schurs->sum_S_Ej_all) {
7319: PetscCall(MatPtAP(sub_schurs->sum_S_Ej_all, tmat, MAT_INITIAL_MATRIX, 1.0, &S_new));
7320: PetscCall(MatDestroy(&sub_schurs->sum_S_Ej_all));
7321: PetscCall(PetscObjectReference((PetscObject)S_new));
7322: if (pcbddc->deluxe_zerorows) PetscCall(MatZeroRowsColumnsIS(S_new, is_V_Sall, 1., NULL, NULL));
7323: sub_schurs->sum_S_Ej_all = S_new;
7324: PetscCall(MatDestroy(&S_new));
7325: }
7326: PetscCall(ISDestroy(&is_V_Sall));
7327: PetscCall(MatDestroy(&tmat));
7328: }
7329: /* destroy any change of basis context in sub_schurs */
7330: if (sub_schurs && sub_schurs->change) {
7331: PetscInt i;
7333: for (i = 0; i < sub_schurs->n_subs; i++) PetscCall(KSPDestroy(&sub_schurs->change[i]));
7334: PetscCall(PetscFree(sub_schurs->change));
7335: }
7336: }
7337: if (pcbddc->switch_static) { /* need to save the local change */
7338: pcbddc->switch_static_change = localChangeOfBasisMatrix;
7339: } else {
7340: PetscCall(MatDestroy(&localChangeOfBasisMatrix));
7341: }
7342: /* determine if any process has changed the pressures locally */
7343: pcbddc->change_interior = pcbddc->benign_have_null;
7344: } else { /* fake change (get back change of basis into ConstraintMatrix and info on qr) */
7345: PetscCall(MatDestroy(&pcbddc->ConstraintMatrix));
7346: pcbddc->ConstraintMatrix = localChangeOfBasisMatrix;
7347: pcbddc->use_qr_single = qr_needed;
7348: }
7349: } else if (pcbddc->user_ChangeOfBasisMatrix || pcbddc->benign_saddle_point) {
7350: if (!pcbddc->benign_have_null && pcbddc->user_ChangeOfBasisMatrix) {
7351: PetscCall(PetscObjectReference((PetscObject)pcbddc->user_ChangeOfBasisMatrix));
7352: pcbddc->ChangeOfBasisMatrix = pcbddc->user_ChangeOfBasisMatrix;
7353: } else {
7354: Mat benign_global = NULL;
7355: if (pcbddc->benign_have_null) {
7356: Mat M;
7358: pcbddc->change_interior = PETSC_TRUE;
7359: PetscCall(VecCopy(matis->counter, pcis->vec1_N));
7360: PetscCall(VecReciprocal(pcis->vec1_N));
7361: PetscCall(MatDuplicate(pc->pmat, MAT_DO_NOT_COPY_VALUES, &benign_global));
7362: if (pcbddc->benign_change) {
7363: PetscCall(MatDuplicate(pcbddc->benign_change, MAT_COPY_VALUES, &M));
7364: PetscCall(MatDiagonalScale(M, pcis->vec1_N, NULL));
7365: } else {
7366: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, pcis->n, pcis->n, 1, NULL, &M));
7367: PetscCall(MatDiagonalSet(M, pcis->vec1_N, INSERT_VALUES));
7368: }
7369: PetscCall(MatISSetLocalMat(benign_global, M));
7370: PetscCall(MatDestroy(&M));
7371: PetscCall(MatAssemblyBegin(benign_global, MAT_FINAL_ASSEMBLY));
7372: PetscCall(MatAssemblyEnd(benign_global, MAT_FINAL_ASSEMBLY));
7373: }
7374: if (pcbddc->user_ChangeOfBasisMatrix) {
7375: PetscCall(MatMatMult(pcbddc->user_ChangeOfBasisMatrix, benign_global, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &pcbddc->ChangeOfBasisMatrix));
7376: PetscCall(MatDestroy(&benign_global));
7377: } else if (pcbddc->benign_have_null) {
7378: pcbddc->ChangeOfBasisMatrix = benign_global;
7379: }
7380: }
7381: if (pcbddc->switch_static && pcbddc->ChangeOfBasisMatrix) { /* need to save the local change */
7382: IS is_global;
7383: const PetscInt *gidxs;
7385: PetscCall(ISLocalToGlobalMappingGetIndices(matis->rmapping, &gidxs));
7386: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), pcis->n, gidxs, PETSC_COPY_VALUES, &is_global));
7387: PetscCall(ISLocalToGlobalMappingRestoreIndices(matis->rmapping, &gidxs));
7388: PetscCall(MatCreateSubMatrixUnsorted(pcbddc->ChangeOfBasisMatrix, is_global, is_global, &pcbddc->switch_static_change));
7389: PetscCall(ISDestroy(&is_global));
7390: }
7391: }
7392: if (!pcbddc->fake_change && pcbddc->ChangeOfBasisMatrix && !pcbddc->work_change) PetscCall(VecDuplicate(pcis->vec1_global, &pcbddc->work_change));
7394: if (!pcbddc->fake_change) {
7395: /* add pressure dofs to set of primal nodes for numbering purposes */
7396: for (i = 0; i < pcbddc->benign_n; i++) {
7397: pcbddc->local_primal_ref_node[pcbddc->local_primal_size_cc] = pcbddc->benign_p0_lidx[i];
7398: pcbddc->primal_indices_local_idxs[pcbddc->local_primal_size] = pcbddc->benign_p0_lidx[i];
7399: pcbddc->local_primal_ref_mult[pcbddc->local_primal_size_cc] = 1;
7400: pcbddc->local_primal_size_cc++;
7401: pcbddc->local_primal_size++;
7402: }
7404: /* check if a new primal space has been introduced (also take into account benign trick) */
7405: pcbddc->new_primal_space_local = PETSC_TRUE;
7406: if (olocal_primal_size == pcbddc->local_primal_size) {
7407: PetscCall(PetscArraycmp(pcbddc->local_primal_ref_node, olocal_primal_ref_node, olocal_primal_size_cc, &pcbddc->new_primal_space_local));
7408: pcbddc->new_primal_space_local = (PetscBool)(!pcbddc->new_primal_space_local);
7409: if (!pcbddc->new_primal_space_local) {
7410: PetscCall(PetscArraycmp(pcbddc->local_primal_ref_mult, olocal_primal_ref_mult, olocal_primal_size_cc, &pcbddc->new_primal_space_local));
7411: pcbddc->new_primal_space_local = (PetscBool)(!pcbddc->new_primal_space_local);
7412: }
7413: }
7414: /* new_primal_space will be used for numbering of coarse dofs, so it should be the same across all subdomains */
7415: PetscCallMPI(MPIU_Allreduce(&pcbddc->new_primal_space_local, &pcbddc->new_primal_space, 1, MPIU_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
7416: }
7417: PetscCall(PetscFree2(olocal_primal_ref_node, olocal_primal_ref_mult));
7419: /* flush dbg viewer */
7420: if (pcbddc->dbg_flag) PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
7422: /* free workspace */
7423: PetscCall(PetscBTDestroy(&qr_needed_idx));
7424: PetscCall(PetscBTDestroy(&change_basis));
7425: if (!pcbddc->adaptive_selection) {
7426: PetscCall(PetscFree3(constraints_idxs_ptr, constraints_data_ptr, constraints_n));
7427: PetscCall(PetscFree3(constraints_data, constraints_idxs, constraints_idxs_B));
7428: } else {
7429: PetscCall(PetscFree5(pcbddc->adaptive_constraints_n, pcbddc->adaptive_constraints_idxs_ptr, pcbddc->adaptive_constraints_data_ptr, pcbddc->adaptive_constraints_idxs, pcbddc->adaptive_constraints_data));
7430: PetscCall(PetscFree(constraints_n));
7431: PetscCall(PetscFree(constraints_idxs_B));
7432: }
7433: PetscFunctionReturn(PETSC_SUCCESS);
7434: }
7436: PetscErrorCode PCBDDCAnalyzeInterface(PC pc)
7437: {
7438: ISLocalToGlobalMapping map;
7439: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
7440: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
7441: PetscInt i, N;
7442: PetscBool rcsr = PETSC_FALSE;
7444: PetscFunctionBegin;
7445: if (pcbddc->recompute_topography) {
7446: pcbddc->graphanalyzed = PETSC_FALSE;
7447: /* Reset previously computed graph */
7448: PetscCall(PCBDDCGraphReset(pcbddc->mat_graph));
7449: /* Init local Graph struct */
7450: PetscCall(MatGetSize(pc->pmat, &N, NULL));
7451: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &map, NULL));
7452: PetscCall(PCBDDCGraphInit(pcbddc->mat_graph, map, N, pcbddc->graphmaxcount));
7454: if (pcbddc->user_primal_vertices_local && !pcbddc->user_primal_vertices) PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LOR, &pcbddc->user_primal_vertices_local));
7455: /* Check validity of the csr graph passed in by the user */
7456: PetscCheck(!pcbddc->mat_graph->nvtxs_csr || pcbddc->mat_graph->nvtxs_csr == pcbddc->mat_graph->nvtxs, PETSC_COMM_SELF, PETSC_ERR_ARG_WRONG, "Invalid size of local CSR graph! Found %" PetscInt_FMT ", expected %" PetscInt_FMT, pcbddc->mat_graph->nvtxs_csr,
7457: pcbddc->mat_graph->nvtxs);
7459: /* Set default CSR adjacency of local dofs if not provided by the user with PCBDDCSetLocalAdjacencyGraph */
7460: if (!pcbddc->mat_graph->xadj && pcbddc->use_local_adj) {
7461: PetscInt *xadj, *adjncy;
7462: PetscInt nvtxs;
7463: PetscBool flg_row;
7464: Mat A;
7466: PetscCall(PetscObjectReference((PetscObject)matis->A));
7467: A = matis->A;
7468: for (PetscInt i = 0; i < pcbddc->local_adj_square; i++) {
7469: Mat AtA;
7471: PetscCall(MatProductCreate(A, A, NULL, &AtA));
7472: PetscCall(MatSetOptionsPrefix(AtA, "pc_bddc_graph_"));
7473: PetscCall(MatProductSetType(AtA, MATPRODUCT_AtB));
7474: PetscCall(MatProductSetFromOptions(AtA));
7475: PetscCall(MatProductSymbolic(AtA));
7476: PetscCall(MatProductClear(AtA));
7477: /* we only need the sparsity, cheat and tell PETSc the matrix has been assembled */
7478: AtA->assembled = PETSC_TRUE;
7479: PetscCall(MatDestroy(&A));
7480: A = AtA;
7481: }
7482: PetscCall(MatGetRowIJ(A, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
7483: if (flg_row) {
7484: PetscCall(PCBDDCSetLocalAdjacencyGraph(pc, nvtxs, xadj, adjncy, PETSC_COPY_VALUES));
7485: pcbddc->computed_rowadj = PETSC_TRUE;
7486: PetscCall(MatRestoreRowIJ(A, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
7487: rcsr = PETSC_TRUE;
7488: }
7489: PetscCall(MatDestroy(&A));
7490: }
7491: if (pcbddc->dbg_flag) PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
7493: if (pcbddc->mat_graph->cdim && !pcbddc->mat_graph->cloc) {
7494: PetscReal *lcoords;
7495: PetscInt n;
7496: MPI_Datatype dimrealtype;
7497: PetscMPIInt cdimi;
7499: /* TODO: support for blocked */
7500: PetscCheck(pcbddc->mat_graph->cnloc == pc->pmat->rmap->n, PETSC_COMM_SELF, PETSC_ERR_USER, "Invalid number of local coordinates! Got %" PetscInt_FMT ", expected %" PetscInt_FMT, pcbddc->mat_graph->cnloc, pc->pmat->rmap->n);
7501: PetscCall(MatGetLocalSize(matis->A, &n, NULL));
7502: PetscCall(PetscMalloc1(pcbddc->mat_graph->cdim * n, &lcoords));
7503: PetscCall(PetscMPIIntCast(pcbddc->mat_graph->cdim, &cdimi));
7504: PetscCallMPI(MPI_Type_contiguous(cdimi, MPIU_REAL, &dimrealtype));
7505: PetscCallMPI(MPI_Type_commit(&dimrealtype));
7506: PetscCall(PetscSFBcastBegin(matis->sf, dimrealtype, pcbddc->mat_graph->coords, lcoords, MPI_REPLACE));
7507: PetscCall(PetscSFBcastEnd(matis->sf, dimrealtype, pcbddc->mat_graph->coords, lcoords, MPI_REPLACE));
7508: PetscCallMPI(MPI_Type_free(&dimrealtype));
7509: PetscCall(PetscFree(pcbddc->mat_graph->coords));
7511: pcbddc->mat_graph->coords = lcoords;
7512: pcbddc->mat_graph->cloc = PETSC_TRUE;
7513: pcbddc->mat_graph->cnloc = n;
7514: }
7515: PetscCheck(!pcbddc->mat_graph->cnloc || pcbddc->mat_graph->cnloc == pcbddc->mat_graph->nvtxs, PETSC_COMM_SELF, PETSC_ERR_USER, "Invalid number of local subdomain coordinates! Got %" PetscInt_FMT ", expected %" PetscInt_FMT, pcbddc->mat_graph->cnloc,
7516: pcbddc->mat_graph->nvtxs);
7517: pcbddc->mat_graph->active_coords = (PetscBool)(pcbddc->corner_selection && pcbddc->mat_graph->cdim && !pcbddc->corner_selected);
7519: /* attach info on disconnected subdomains if present */
7520: if (pcbddc->n_local_subs) {
7521: PetscInt *local_subs, n, totn;
7523: PetscCall(MatGetLocalSize(matis->A, &n, NULL));
7524: PetscCall(PetscMalloc1(n, &local_subs));
7525: for (i = 0; i < n; i++) local_subs[i] = pcbddc->n_local_subs;
7526: for (i = 0; i < pcbddc->n_local_subs; i++) {
7527: const PetscInt *idxs;
7528: PetscInt nl, j;
7530: PetscCall(ISGetLocalSize(pcbddc->local_subs[i], &nl));
7531: PetscCall(ISGetIndices(pcbddc->local_subs[i], &idxs));
7532: for (j = 0; j < nl; j++) local_subs[idxs[j]] = i;
7533: PetscCall(ISRestoreIndices(pcbddc->local_subs[i], &idxs));
7534: }
7535: for (i = 0, totn = 0; i < n; i++) totn = PetscMax(totn, local_subs[i]);
7536: pcbddc->mat_graph->n_local_subs = totn + 1;
7537: pcbddc->mat_graph->local_subs = local_subs;
7538: }
7540: /* Setup of Graph */
7541: PetscCall(PCBDDCGraphSetUp(pcbddc->mat_graph, pcbddc->vertex_size, pcbddc->NeumannBoundariesLocal, pcbddc->DirichletBoundariesLocal, pcbddc->n_ISForDofsLocal, pcbddc->ISForDofsLocal, pcbddc->user_primal_vertices_local));
7542: }
7544: if (!pcbddc->graphanalyzed) {
7545: /* Graph's connected components analysis */
7546: PetscCall(PCBDDCGraphComputeConnectedComponents(pcbddc->mat_graph));
7547: pcbddc->graphanalyzed = PETSC_TRUE;
7548: pcbddc->corner_selected = pcbddc->corner_selection;
7549: }
7550: if (rcsr) pcbddc->mat_graph->nvtxs_csr = 0;
7551: PetscFunctionReturn(PETSC_SUCCESS);
7552: }
7554: PetscErrorCode PCBDDCOrthonormalizeVecs(PetscInt *nio, Vec vecs[])
7555: {
7556: PetscInt i, j, n;
7557: PetscScalar *alphas;
7558: PetscReal norm, *onorms;
7560: PetscFunctionBegin;
7561: n = *nio;
7562: if (!n) PetscFunctionReturn(PETSC_SUCCESS);
7563: PetscCall(PetscMalloc2(n, &alphas, n, &onorms));
7564: PetscCall(VecNormalize(vecs[0], &norm));
7565: if (norm < PETSC_SMALL) {
7566: onorms[0] = 0.0;
7567: PetscCall(VecSet(vecs[0], 0.0));
7568: } else {
7569: onorms[0] = norm;
7570: }
7572: for (i = 1; i < n; i++) {
7573: PetscCall(VecMDot(vecs[i], i, vecs, alphas));
7574: for (j = 0; j < i; j++) alphas[j] = PetscConj(-alphas[j]);
7575: PetscCall(VecMAXPY(vecs[i], i, alphas, vecs));
7576: PetscCall(VecNormalize(vecs[i], &norm));
7577: if (norm < PETSC_SMALL) {
7578: onorms[i] = 0.0;
7579: PetscCall(VecSet(vecs[i], 0.0));
7580: } else {
7581: onorms[i] = norm;
7582: }
7583: }
7584: /* push nonzero vectors at the beginning */
7585: for (i = 0; i < n; i++) {
7586: if (onorms[i] == 0.0) {
7587: for (j = i + 1; j < n; j++) {
7588: if (onorms[j] != 0.0) {
7589: PetscCall(VecCopy(vecs[j], vecs[i]));
7590: onorms[i] = onorms[j];
7591: onorms[j] = 0.0;
7592: break;
7593: }
7594: }
7595: }
7596: }
7597: for (i = 0, *nio = 0; i < n; i++) *nio += onorms[i] != 0.0 ? 1 : 0;
7598: PetscCall(PetscFree2(alphas, onorms));
7599: PetscFunctionReturn(PETSC_SUCCESS);
7600: }
7602: static PetscErrorCode PCBDDCMatISGetSubassemblingPattern(Mat mat, PetscInt *n_subdomains, PetscInt redprocs, IS *is_sends, PetscBool *have_void)
7603: {
7604: ISLocalToGlobalMapping mapping;
7605: Mat A;
7606: PetscInt n_neighs, *neighs, *n_shared, **shared;
7607: PetscMPIInt size, rank, color;
7608: PetscInt *xadj, *adjncy;
7609: PetscInt *adjncy_wgt, *v_wgt, *ranks_send_to_idx;
7610: PetscInt im_active, active_procs, N, n, i, j, threshold = 2;
7611: PetscInt void_procs, *procs_candidates = NULL;
7612: PetscInt xadj_count, *count;
7613: PetscBool ismatis, use_vwgt = PETSC_FALSE;
7614: PetscSubcomm psubcomm;
7615: MPI_Comm subcomm;
7617: PetscFunctionBegin;
7619: PetscCall(PetscObjectTypeCompare((PetscObject)mat, MATIS, &ismatis));
7620: PetscCheck(ismatis, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot use %s on a matrix object which is not of type MATIS", PETSC_FUNCTION_NAME);
7623: PetscCheck(*n_subdomains > 0, PetscObjectComm((PetscObject)mat), PETSC_ERR_ARG_WRONG, "Invalid number of subdomains requested %" PetscInt_FMT, *n_subdomains);
7625: if (have_void) *have_void = PETSC_FALSE;
7626: PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)mat), &size));
7627: PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)mat), &rank));
7628: PetscCall(MatISGetLocalMat(mat, &A));
7629: PetscCall(MatGetLocalSize(A, &n, NULL));
7630: im_active = !!n;
7631: PetscCallMPI(MPIU_Allreduce(&im_active, &active_procs, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)mat)));
7632: void_procs = size - active_procs;
7633: /* get ranks of non-active processes in mat communicator */
7634: if (void_procs) {
7635: PetscInt ncand;
7637: if (have_void) *have_void = PETSC_TRUE;
7638: PetscCall(PetscMalloc1(size, &procs_candidates));
7639: PetscCallMPI(MPI_Allgather(&im_active, 1, MPIU_INT, procs_candidates, 1, MPIU_INT, PetscObjectComm((PetscObject)mat)));
7640: for (i = 0, ncand = 0; i < size; i++) {
7641: if (!procs_candidates[i]) procs_candidates[ncand++] = i;
7642: }
7643: /* force n_subdomains to be not greater that the number of non-active processes */
7644: *n_subdomains = PetscMin(void_procs, *n_subdomains);
7645: }
7647: /* number of subdomains requested greater than active processes or matrix size -> just shift the matrix
7648: number of subdomains requested 1 -> send to rank-0 or first candidate in voids */
7649: PetscCall(MatGetSize(mat, &N, NULL));
7650: if (active_procs < *n_subdomains || *n_subdomains == 1 || N <= *n_subdomains) {
7651: PetscInt issize, isidx, dest;
7652: if (*n_subdomains == 1) dest = 0;
7653: else dest = rank;
7654: if (im_active) {
7655: issize = 1;
7656: if (procs_candidates) { /* shift the pattern on non-active candidates (if any) */
7657: isidx = procs_candidates[dest];
7658: } else {
7659: isidx = dest;
7660: }
7661: } else {
7662: issize = 0;
7663: isidx = -1;
7664: }
7665: if (*n_subdomains != 1) *n_subdomains = active_procs;
7666: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)mat), issize, &isidx, PETSC_COPY_VALUES, is_sends));
7667: PetscCall(PetscFree(procs_candidates));
7668: PetscFunctionReturn(PETSC_SUCCESS);
7669: }
7670: PetscCall(PetscOptionsGetBool(NULL, ((PetscObject)A)->prefix, "-mat_is_partitioning_use_vwgt", &use_vwgt, NULL));
7671: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)A)->prefix, "-mat_is_partitioning_threshold", &threshold, NULL));
7672: threshold = PetscMax(threshold, 2);
7674: /* Get info on mapping */
7675: PetscCall(MatISGetLocalToGlobalMapping(mat, &mapping, NULL));
7676: PetscCall(ISLocalToGlobalMappingGetInfo(mapping, &n_neighs, &neighs, &n_shared, &shared));
7678: /* build local CSR graph of subdomains' connectivity */
7679: PetscCall(PetscMalloc1(2, &xadj));
7680: xadj[0] = 0;
7681: xadj[1] = PetscMax(n_neighs - 1, 0);
7682: PetscCall(PetscMalloc1(xadj[1], &adjncy));
7683: PetscCall(PetscMalloc1(xadj[1], &adjncy_wgt));
7684: PetscCall(PetscCalloc1(n, &count));
7685: for (i = 1; i < n_neighs; i++)
7686: for (j = 0; j < n_shared[i]; j++) count[shared[i][j]] += 1;
7688: xadj_count = 0;
7689: for (i = 1; i < n_neighs; i++) {
7690: for (j = 0; j < n_shared[i]; j++) {
7691: if (count[shared[i][j]] < threshold) {
7692: adjncy[xadj_count] = neighs[i];
7693: adjncy_wgt[xadj_count] = n_shared[i];
7694: xadj_count++;
7695: break;
7696: }
7697: }
7698: }
7699: xadj[1] = xadj_count;
7700: PetscCall(PetscFree(count));
7701: PetscCall(ISLocalToGlobalMappingRestoreInfo(mapping, &n_neighs, &neighs, &n_shared, &shared));
7702: PetscCall(PetscSortIntWithArray(xadj[1], adjncy, adjncy_wgt));
7704: PetscCall(PetscMalloc1(1, &ranks_send_to_idx));
7706: /* Restrict work on active processes only */
7707: PetscCall(PetscMPIIntCast(im_active, &color));
7708: if (void_procs) {
7709: PetscCall(PetscSubcommCreate(PetscObjectComm((PetscObject)mat), &psubcomm));
7710: PetscCall(PetscSubcommSetNumber(psubcomm, 2)); /* 2 groups, active process and not active processes */
7711: PetscCall(PetscSubcommSetTypeGeneral(psubcomm, color, rank));
7712: subcomm = PetscSubcommChild(psubcomm);
7713: } else {
7714: psubcomm = NULL;
7715: subcomm = PetscObjectComm((PetscObject)mat);
7716: }
7718: v_wgt = NULL;
7719: if (!color) {
7720: PetscCall(PetscFree(xadj));
7721: PetscCall(PetscFree(adjncy));
7722: PetscCall(PetscFree(adjncy_wgt));
7723: } else {
7724: Mat subdomain_adj;
7725: IS new_ranks, new_ranks_contig;
7726: MatPartitioning partitioner;
7727: PetscInt rstart, rend;
7728: PetscMPIInt irstart = 0, irend = 0;
7729: PetscInt *is_indices, *oldranks;
7730: PetscMPIInt size;
7731: PetscBool aggregate;
7733: PetscCallMPI(MPI_Comm_size(subcomm, &size));
7734: if (void_procs) {
7735: PetscInt prank = rank;
7736: PetscCall(PetscMalloc1(size, &oldranks));
7737: PetscCallMPI(MPI_Allgather(&prank, 1, MPIU_INT, oldranks, 1, MPIU_INT, subcomm));
7738: for (i = 0; i < xadj[1]; i++) PetscCall(PetscFindInt(adjncy[i], size, oldranks, &adjncy[i]));
7739: PetscCall(PetscSortIntWithArray(xadj[1], adjncy, adjncy_wgt));
7740: } else {
7741: oldranks = NULL;
7742: }
7743: aggregate = ((redprocs > 0 && redprocs < size) ? PETSC_TRUE : PETSC_FALSE);
7744: if (aggregate) { /* TODO: all this part could be made more efficient */
7745: PetscInt lrows, row, ncols, *cols;
7746: PetscMPIInt nrank;
7747: PetscScalar *vals;
7749: PetscCallMPI(MPI_Comm_rank(subcomm, &nrank));
7750: lrows = 0;
7751: if (nrank < redprocs) {
7752: lrows = size / redprocs;
7753: if (nrank < size % redprocs) lrows++;
7754: }
7755: PetscCall(MatCreateAIJ(subcomm, lrows, lrows, size, size, 50, NULL, 50, NULL, &subdomain_adj));
7756: PetscCall(MatGetOwnershipRange(subdomain_adj, &rstart, &rend));
7757: PetscCall(PetscMPIIntCast(rstart, &irstart));
7758: PetscCall(PetscMPIIntCast(rend, &irend));
7759: PetscCall(MatSetOption(subdomain_adj, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_FALSE));
7760: PetscCall(MatSetOption(subdomain_adj, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));
7761: row = nrank;
7762: ncols = xadj[1] - xadj[0];
7763: cols = adjncy;
7764: PetscCall(PetscMalloc1(ncols, &vals));
7765: for (i = 0; i < ncols; i++) vals[i] = adjncy_wgt[i];
7766: PetscCall(MatSetValues(subdomain_adj, 1, &row, ncols, cols, vals, INSERT_VALUES));
7767: PetscCall(MatAssemblyBegin(subdomain_adj, MAT_FINAL_ASSEMBLY));
7768: PetscCall(MatAssemblyEnd(subdomain_adj, MAT_FINAL_ASSEMBLY));
7769: PetscCall(PetscFree(xadj));
7770: PetscCall(PetscFree(adjncy));
7771: PetscCall(PetscFree(adjncy_wgt));
7772: PetscCall(PetscFree(vals));
7773: if (use_vwgt) {
7774: Vec v;
7775: const PetscScalar *array;
7776: PetscInt nl;
7778: PetscCall(MatCreateVecs(subdomain_adj, &v, NULL));
7779: PetscCall(VecSetValue(v, row, (PetscScalar)n, INSERT_VALUES));
7780: PetscCall(VecAssemblyBegin(v));
7781: PetscCall(VecAssemblyEnd(v));
7782: PetscCall(VecGetLocalSize(v, &nl));
7783: PetscCall(VecGetArrayRead(v, &array));
7784: PetscCall(PetscMalloc1(nl, &v_wgt));
7785: for (i = 0; i < nl; i++) v_wgt[i] = (PetscInt)PetscRealPart(array[i]);
7786: PetscCall(VecRestoreArrayRead(v, &array));
7787: PetscCall(VecDestroy(&v));
7788: }
7789: } else {
7790: PetscCall(MatCreateMPIAdj(subcomm, 1, size, xadj, adjncy, adjncy_wgt, &subdomain_adj));
7791: if (use_vwgt) {
7792: PetscCall(PetscMalloc1(1, &v_wgt));
7793: v_wgt[0] = n;
7794: }
7795: }
7796: /* PetscCall(MatView(subdomain_adj,0)); */
7798: /* Partition */
7799: PetscCall(MatPartitioningCreate(subcomm, &partitioner));
7800: #if defined(PETSC_HAVE_PTSCOTCH)
7801: PetscCall(MatPartitioningSetType(partitioner, MATPARTITIONINGPTSCOTCH));
7802: #elif defined(PETSC_HAVE_PARMETIS)
7803: PetscCall(MatPartitioningSetType(partitioner, MATPARTITIONINGPARMETIS));
7804: #else
7805: PetscCall(MatPartitioningSetType(partitioner, MATPARTITIONINGAVERAGE));
7806: #endif
7807: PetscCall(MatPartitioningSetAdjacency(partitioner, subdomain_adj));
7808: if (v_wgt) PetscCall(MatPartitioningSetVertexWeights(partitioner, v_wgt));
7809: *n_subdomains = PetscMin(size, *n_subdomains);
7810: PetscCall(MatPartitioningSetNParts(partitioner, *n_subdomains));
7811: PetscCall(MatPartitioningSetFromOptions(partitioner));
7812: PetscCall(MatPartitioningApply(partitioner, &new_ranks));
7813: /* PetscCall(MatPartitioningView(partitioner,0)); */
7815: /* renumber new_ranks to avoid "holes" in new set of processors */
7816: PetscCall(ISRenumber(new_ranks, NULL, NULL, &new_ranks_contig));
7817: PetscCall(ISDestroy(&new_ranks));
7818: PetscCall(ISGetIndices(new_ranks_contig, (const PetscInt **)&is_indices));
7819: if (!aggregate) {
7820: if (procs_candidates) { /* shift the pattern on non-active candidates (if any) */
7821: PetscAssert(oldranks, PETSC_COMM_SELF, PETSC_ERR_PLIB, "This should not happen");
7822: ranks_send_to_idx[0] = procs_candidates[oldranks[is_indices[0]]];
7823: } else if (oldranks) {
7824: ranks_send_to_idx[0] = oldranks[is_indices[0]];
7825: } else {
7826: ranks_send_to_idx[0] = is_indices[0];
7827: }
7828: } else {
7829: PetscInt idx = 0;
7830: PetscMPIInt tag;
7831: MPI_Request *reqs;
7833: PetscCall(PetscObjectGetNewTag((PetscObject)subdomain_adj, &tag));
7834: PetscCall(PetscMalloc1(rend - rstart, &reqs));
7835: for (PetscMPIInt i = irstart; i < irend; i++) PetscCallMPI(MPIU_Isend(is_indices + i - rstart, 1, MPIU_INT, i, tag, subcomm, &reqs[i - rstart]));
7836: PetscCallMPI(MPIU_Recv(&idx, 1, MPIU_INT, MPI_ANY_SOURCE, tag, subcomm, MPI_STATUS_IGNORE));
7837: PetscCallMPI(MPI_Waitall(irend - irstart, reqs, MPI_STATUSES_IGNORE));
7838: PetscCall(PetscFree(reqs));
7839: if (procs_candidates) { /* shift the pattern on non-active candidates (if any) */
7840: PetscAssert(oldranks, PETSC_COMM_SELF, PETSC_ERR_PLIB, "This should not happen");
7841: ranks_send_to_idx[0] = procs_candidates[oldranks[idx]];
7842: } else if (oldranks) {
7843: ranks_send_to_idx[0] = oldranks[idx];
7844: } else {
7845: ranks_send_to_idx[0] = idx;
7846: }
7847: }
7848: PetscCall(ISRestoreIndices(new_ranks_contig, (const PetscInt **)&is_indices));
7849: /* clean up */
7850: PetscCall(PetscFree(oldranks));
7851: PetscCall(ISDestroy(&new_ranks_contig));
7852: PetscCall(MatDestroy(&subdomain_adj));
7853: PetscCall(MatPartitioningDestroy(&partitioner));
7854: }
7855: PetscCall(PetscSubcommDestroy(&psubcomm));
7856: PetscCall(PetscFree(procs_candidates));
7858: /* assemble parallel IS for sends */
7859: i = 1;
7860: if (!color) i = 0;
7861: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)mat), i, ranks_send_to_idx, PETSC_OWN_POINTER, is_sends));
7862: PetscFunctionReturn(PETSC_SUCCESS);
7863: }
7865: typedef enum {
7866: MATDENSE_PRIVATE = 0,
7867: MATAIJ_PRIVATE,
7868: MATBAIJ_PRIVATE,
7869: MATSBAIJ_PRIVATE
7870: } MatTypePrivate;
7872: static PetscErrorCode PCBDDCMatISSubassemble(Mat mat, IS is_sends, PetscInt n_subdomains, PetscBool restrict_comm, PetscBool restrict_full, PetscBool reuse, Mat *mat_n, PetscInt nis, IS isarray[], PetscInt nvecs, Vec nnsp_vec[])
7873: {
7874: Mat local_mat;
7875: IS is_sends_internal;
7876: PetscInt rows, cols, new_local_rows;
7877: PetscInt i, bs, buf_size_idxs, buf_size_idxs_is, buf_size_vals, buf_size_vecs;
7878: PetscBool ismatis, isdense, newisdense, destroy_mat;
7879: ISLocalToGlobalMapping l2gmap;
7880: PetscInt *l2gmap_indices;
7881: const PetscInt *is_indices;
7882: MatType new_local_type;
7883: /* buffers */
7884: PetscInt *ptr_idxs, *send_buffer_idxs, *recv_buffer_idxs;
7885: PetscInt *ptr_idxs_is, *send_buffer_idxs_is, *recv_buffer_idxs_is;
7886: PetscInt *recv_buffer_idxs_local;
7887: PetscScalar *ptr_vals, *recv_buffer_vals;
7888: const PetscScalar *send_buffer_vals;
7889: PetscScalar *ptr_vecs, *send_buffer_vecs, *recv_buffer_vecs;
7890: /* MPI */
7891: MPI_Comm comm, comm_n;
7892: PetscSubcomm subcomm;
7893: PetscMPIInt n_sends, n_recvs, size;
7894: PetscMPIInt *iflags, *ilengths_idxs, *ilengths_vals, *ilengths_idxs_is;
7895: PetscMPIInt *onodes, *onodes_is, *olengths_idxs, *olengths_idxs_is, *olengths_vals;
7896: PetscMPIInt len, tag_idxs, tag_idxs_is, tag_vals, tag_vecs, source_dest;
7897: MPI_Request *send_req_idxs, *send_req_idxs_is, *send_req_vals, *send_req_vecs;
7898: MPI_Request *recv_req_idxs, *recv_req_idxs_is, *recv_req_vals, *recv_req_vecs;
7900: PetscFunctionBegin;
7902: PetscCall(PetscObjectTypeCompare((PetscObject)mat, MATIS, &ismatis));
7903: PetscCheck(ismatis, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot use %s on a matrix object which is not of type MATIS", PETSC_FUNCTION_NAME);
7910: if (nvecs) {
7911: PetscCheck(nvecs <= 1, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Just 1 vector supported");
7913: }
7914: /* further checks */
7915: PetscCall(MatISGetLocalMat(mat, &local_mat));
7916: PetscCall(PetscObjectTypeCompare((PetscObject)local_mat, MATSEQDENSE, &isdense));
7917: /* XXX hack for multi_element */
7918: if (!isdense) PetscCall(MatConvert(local_mat, MATDENSE, MAT_INPLACE_MATRIX, &local_mat));
7919: PetscCall(PetscObjectTypeCompare((PetscObject)local_mat, MATSEQDENSE, &isdense));
7920: PetscCheck(isdense, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Currently cannot subassemble MATIS when local matrix type is not of type SEQDENSE");
7922: PetscCall(MatGetSize(local_mat, &rows, &cols));
7923: PetscCheck(rows == cols, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Local MATIS matrices should be square");
7924: if (reuse && *mat_n) {
7925: PetscInt mrows, mcols, mnrows, mncols;
7927: PetscCall(PetscObjectTypeCompare((PetscObject)*mat_n, MATIS, &ismatis));
7928: PetscCheck(ismatis, PetscObjectComm((PetscObject)*mat_n), PETSC_ERR_SUP, "Cannot reuse a matrix which is not of type MATIS");
7929: PetscCall(MatGetSize(mat, &mrows, &mcols));
7930: PetscCall(MatGetSize(*mat_n, &mnrows, &mncols));
7931: PetscCheck(mrows == mnrows, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot reuse matrix! Wrong number of rows %" PetscInt_FMT " != %" PetscInt_FMT, mrows, mnrows);
7932: PetscCheck(mcols == mncols, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot reuse matrix! Wrong number of cols %" PetscInt_FMT " != %" PetscInt_FMT, mcols, mncols);
7933: }
7934: PetscCall(MatGetBlockSize(local_mat, &bs));
7937: /* prepare IS for sending if not provided */
7938: if (!is_sends) {
7939: PetscCheck(n_subdomains, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "You should specify either an IS or a target number of subdomains");
7940: PetscCall(PCBDDCMatISGetSubassemblingPattern(mat, &n_subdomains, 0, &is_sends_internal, NULL));
7941: } else {
7942: PetscCall(PetscObjectReference((PetscObject)is_sends));
7943: is_sends_internal = is_sends;
7944: }
7946: /* get comm */
7947: PetscCall(PetscObjectGetComm((PetscObject)mat, &comm));
7949: /* compute number of sends */
7950: PetscCall(ISGetLocalSize(is_sends_internal, &i));
7951: PetscCall(PetscMPIIntCast(i, &n_sends));
7953: /* compute number of receives */
7954: PetscCallMPI(MPI_Comm_size(comm, &size));
7955: PetscCall(PetscMalloc1(size, &iflags));
7956: PetscCall(PetscArrayzero(iflags, size));
7957: PetscCall(ISGetIndices(is_sends_internal, &is_indices));
7958: for (i = 0; i < n_sends; i++) iflags[is_indices[i]] = 1;
7959: PetscCall(PetscGatherNumberOfMessages(comm, iflags, NULL, &n_recvs));
7960: PetscCall(PetscFree(iflags));
7962: /* restrict comm if requested */
7963: subcomm = NULL;
7964: destroy_mat = PETSC_FALSE;
7965: if (restrict_comm) {
7966: PetscMPIInt color, subcommsize;
7968: color = 0;
7969: if (restrict_full) {
7970: if (!n_recvs) color = 1; /* processes not receiving anything will not participate in new comm (full restriction) */
7971: } else {
7972: if (!n_recvs && n_sends) color = 1; /* just those processes that are sending but not receiving anything will not participate in new comm */
7973: }
7974: PetscCallMPI(MPIU_Allreduce(&color, &subcommsize, 1, MPI_INT, MPI_SUM, comm));
7975: subcommsize = size - subcommsize;
7976: /* check if reuse has been requested */
7977: if (reuse) {
7978: if (*mat_n) {
7979: PetscMPIInt subcommsize2;
7980: PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)*mat_n), &subcommsize2));
7981: PetscCheck(subcommsize == subcommsize2, PetscObjectComm((PetscObject)*mat_n), PETSC_ERR_PLIB, "Cannot reuse matrix! wrong subcomm size %d != %d", subcommsize, subcommsize2);
7982: comm_n = PetscObjectComm((PetscObject)*mat_n);
7983: } else {
7984: comm_n = PETSC_COMM_SELF;
7985: }
7986: } else { /* MAT_INITIAL_MATRIX */
7987: PetscMPIInt rank;
7989: PetscCallMPI(MPI_Comm_rank(comm, &rank));
7990: PetscCall(PetscSubcommCreate(comm, &subcomm));
7991: PetscCall(PetscSubcommSetNumber(subcomm, 2));
7992: PetscCall(PetscSubcommSetTypeGeneral(subcomm, color, rank));
7993: comm_n = PetscSubcommChild(subcomm);
7994: }
7995: /* flag to destroy *mat_n if not significative */
7996: if (color) destroy_mat = PETSC_TRUE;
7997: } else {
7998: comm_n = comm;
7999: }
8001: /* prepare send/receive buffers */
8002: PetscCall(PetscMalloc1(size, &ilengths_idxs));
8003: PetscCall(PetscArrayzero(ilengths_idxs, size));
8004: PetscCall(PetscMalloc1(size, &ilengths_vals));
8005: PetscCall(PetscArrayzero(ilengths_vals, size));
8006: if (nis) PetscCall(PetscCalloc1(size, &ilengths_idxs_is));
8008: /* Get data from local matrices */
8009: PetscCheck(isdense, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Subassembling of AIJ local matrices not yet implemented");
8010: /* TODO: See below some guidelines on how to prepare the local buffers */
8011: /*
8012: send_buffer_vals should contain the raw values of the local matrix
8013: send_buffer_idxs should contain:
8014: - MatType_PRIVATE type
8015: - PetscInt size_of_l2gmap
8016: - PetscInt global_row_indices[size_of_l2gmap]
8017: - PetscInt all_other_info_which_is_needed_to_compute_preallocation_and_set_values
8018: */
8019: {
8020: ISLocalToGlobalMapping mapping;
8022: PetscCall(MatISGetLocalToGlobalMapping(mat, &mapping, NULL));
8023: PetscCall(MatDenseGetArrayRead(local_mat, &send_buffer_vals));
8024: PetscCall(ISLocalToGlobalMappingGetSize(mapping, &i));
8025: PetscCall(PetscMalloc1(i + 2, &send_buffer_idxs));
8026: send_buffer_idxs[0] = (PetscInt)MATDENSE_PRIVATE;
8027: send_buffer_idxs[1] = i;
8028: PetscCall(ISLocalToGlobalMappingGetIndices(mapping, (const PetscInt **)&ptr_idxs));
8029: PetscCall(PetscArraycpy(&send_buffer_idxs[2], ptr_idxs, i));
8030: PetscCall(ISLocalToGlobalMappingRestoreIndices(mapping, (const PetscInt **)&ptr_idxs));
8031: PetscCall(PetscMPIIntCast(i, &len));
8032: for (i = 0; i < n_sends; i++) {
8033: ilengths_vals[is_indices[i]] = len * len;
8034: ilengths_idxs[is_indices[i]] = len + 2;
8035: }
8036: }
8037: PetscCall(PetscGatherMessageLengths2(comm, n_sends, n_recvs, ilengths_idxs, ilengths_vals, &onodes, &olengths_idxs, &olengths_vals));
8038: /* additional is (if any) */
8039: if (nis) {
8040: PetscMPIInt psum;
8041: PetscInt j;
8042: for (j = 0, psum = 0; j < nis; j++) {
8043: PetscInt plen;
8044: PetscCall(ISGetLocalSize(isarray[j], &plen));
8045: PetscCall(PetscMPIIntCast(plen, &len));
8046: psum += len + 1; /* indices + length */
8047: }
8048: PetscCall(PetscMalloc1(psum, &send_buffer_idxs_is));
8049: for (j = 0, psum = 0; j < nis; j++) {
8050: PetscInt plen;
8051: const PetscInt *is_array_idxs;
8052: PetscCall(ISGetLocalSize(isarray[j], &plen));
8053: send_buffer_idxs_is[psum] = plen;
8054: PetscCall(ISGetIndices(isarray[j], &is_array_idxs));
8055: PetscCall(PetscArraycpy(&send_buffer_idxs_is[psum + 1], is_array_idxs, plen));
8056: PetscCall(ISRestoreIndices(isarray[j], &is_array_idxs));
8057: psum += plen + 1; /* indices + length */
8058: }
8059: for (i = 0; i < n_sends; i++) ilengths_idxs_is[is_indices[i]] = psum;
8060: PetscCall(PetscGatherMessageLengths(comm, n_sends, n_recvs, ilengths_idxs_is, &onodes_is, &olengths_idxs_is));
8061: }
8062: PetscCall(MatISRestoreLocalMat(mat, &local_mat));
8064: buf_size_idxs = 0;
8065: buf_size_vals = 0;
8066: buf_size_idxs_is = 0;
8067: buf_size_vecs = 0;
8068: for (i = 0; i < n_recvs; i++) {
8069: buf_size_idxs += olengths_idxs[i];
8070: buf_size_vals += olengths_vals[i];
8071: if (nis) buf_size_idxs_is += olengths_idxs_is[i];
8072: if (nvecs) buf_size_vecs += olengths_idxs[i];
8073: }
8074: PetscCall(PetscMalloc1(buf_size_idxs, &recv_buffer_idxs));
8075: PetscCall(PetscMalloc1(buf_size_vals, &recv_buffer_vals));
8076: PetscCall(PetscMalloc1(buf_size_idxs_is, &recv_buffer_idxs_is));
8077: PetscCall(PetscMalloc1(buf_size_vecs, &recv_buffer_vecs));
8079: /* get new tags for clean communications */
8080: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_idxs));
8081: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_vals));
8082: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_idxs_is));
8083: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_vecs));
8085: /* allocate for requests */
8086: PetscCall(PetscMalloc1(n_sends, &send_req_idxs));
8087: PetscCall(PetscMalloc1(n_sends, &send_req_vals));
8088: PetscCall(PetscMalloc1(n_sends, &send_req_idxs_is));
8089: PetscCall(PetscMalloc1(n_sends, &send_req_vecs));
8090: PetscCall(PetscMalloc1(n_recvs, &recv_req_idxs));
8091: PetscCall(PetscMalloc1(n_recvs, &recv_req_vals));
8092: PetscCall(PetscMalloc1(n_recvs, &recv_req_idxs_is));
8093: PetscCall(PetscMalloc1(n_recvs, &recv_req_vecs));
8095: /* communications */
8096: ptr_idxs = recv_buffer_idxs;
8097: ptr_vals = recv_buffer_vals;
8098: ptr_idxs_is = recv_buffer_idxs_is;
8099: ptr_vecs = recv_buffer_vecs;
8100: for (i = 0; i < n_recvs; i++) {
8101: PetscCallMPI(MPIU_Irecv(ptr_idxs, olengths_idxs[i], MPIU_INT, onodes[i], tag_idxs, comm, &recv_req_idxs[i]));
8102: PetscCallMPI(MPIU_Irecv(ptr_vals, olengths_vals[i], MPIU_SCALAR, onodes[i], tag_vals, comm, &recv_req_vals[i]));
8103: ptr_idxs += olengths_idxs[i];
8104: ptr_vals += olengths_vals[i];
8105: if (nis) {
8106: PetscCallMPI(MPIU_Irecv(ptr_idxs_is, olengths_idxs_is[i], MPIU_INT, onodes_is[i], tag_idxs_is, comm, &recv_req_idxs_is[i]));
8107: ptr_idxs_is += olengths_idxs_is[i];
8108: }
8109: if (nvecs) {
8110: PetscCallMPI(MPIU_Irecv(ptr_vecs, olengths_idxs[i] - 2, MPIU_SCALAR, onodes[i], tag_vecs, comm, &recv_req_vecs[i]));
8111: ptr_vecs += olengths_idxs[i] - 2;
8112: }
8113: }
8114: for (i = 0; i < n_sends; i++) {
8115: PetscCall(PetscMPIIntCast(is_indices[i], &source_dest));
8116: PetscCallMPI(MPIU_Isend(send_buffer_idxs, ilengths_idxs[source_dest], MPIU_INT, source_dest, tag_idxs, comm, &send_req_idxs[i]));
8117: PetscCallMPI(MPIU_Isend(send_buffer_vals, ilengths_vals[source_dest], MPIU_SCALAR, source_dest, tag_vals, comm, &send_req_vals[i]));
8118: if (nis) PetscCallMPI(MPIU_Isend(send_buffer_idxs_is, ilengths_idxs_is[source_dest], MPIU_INT, source_dest, tag_idxs_is, comm, &send_req_idxs_is[i]));
8119: if (nvecs) {
8120: PetscCall(VecGetArray(nnsp_vec[0], &send_buffer_vecs));
8121: PetscCallMPI(MPIU_Isend(send_buffer_vecs, ilengths_idxs[source_dest] - 2, MPIU_SCALAR, source_dest, tag_vecs, comm, &send_req_vecs[i]));
8122: }
8123: }
8124: PetscCall(ISRestoreIndices(is_sends_internal, &is_indices));
8125: PetscCall(ISDestroy(&is_sends_internal));
8127: /* assemble new l2g map */
8128: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_idxs, MPI_STATUSES_IGNORE));
8129: ptr_idxs = recv_buffer_idxs;
8130: new_local_rows = 0;
8131: for (i = 0; i < n_recvs; i++) {
8132: new_local_rows += *(ptr_idxs + 1); /* second element is the local size of the l2gmap */
8133: ptr_idxs += olengths_idxs[i];
8134: }
8135: PetscCall(PetscMalloc1(new_local_rows, &l2gmap_indices));
8136: ptr_idxs = recv_buffer_idxs;
8137: new_local_rows = 0;
8138: for (i = 0; i < n_recvs; i++) {
8139: PetscCall(PetscArraycpy(&l2gmap_indices[new_local_rows], ptr_idxs + 2, *(ptr_idxs + 1)));
8140: new_local_rows += *(ptr_idxs + 1); /* second element is the local size of the l2gmap */
8141: ptr_idxs += olengths_idxs[i];
8142: }
8143: PetscCall(PetscSortRemoveDupsInt(&new_local_rows, l2gmap_indices));
8144: PetscCall(ISLocalToGlobalMappingCreate(comm_n, 1, new_local_rows, l2gmap_indices, PETSC_COPY_VALUES, &l2gmap));
8145: PetscCall(PetscFree(l2gmap_indices));
8147: /* infer new local matrix type from received local matrices type */
8148: /* currently if all local matrices are of type X, then the resulting matrix will be of type X, except for the dense case */
8149: /* it also assumes that if the block size is set, than it is the same among all local matrices (see checks at the beginning of the function) */
8150: if (n_recvs) {
8151: MatTypePrivate new_local_type_private = (MatTypePrivate)send_buffer_idxs[0];
8152: ptr_idxs = recv_buffer_idxs;
8153: for (i = 0; i < n_recvs; i++) {
8154: if ((PetscInt)new_local_type_private != *ptr_idxs) {
8155: new_local_type_private = MATAIJ_PRIVATE;
8156: break;
8157: }
8158: ptr_idxs += olengths_idxs[i];
8159: }
8160: switch (new_local_type_private) {
8161: case MATDENSE_PRIVATE:
8162: new_local_type = MATSEQAIJ;
8163: bs = 1;
8164: break;
8165: case MATAIJ_PRIVATE:
8166: new_local_type = MATSEQAIJ;
8167: bs = 1;
8168: break;
8169: case MATBAIJ_PRIVATE:
8170: new_local_type = MATSEQBAIJ;
8171: break;
8172: case MATSBAIJ_PRIVATE:
8173: new_local_type = MATSEQSBAIJ;
8174: break;
8175: default:
8176: SETERRQ(comm, PETSC_ERR_SUP, "Unsupported private type %d in %s", new_local_type_private, PETSC_FUNCTION_NAME);
8177: }
8178: } else { /* by default, new_local_type is seqaij */
8179: new_local_type = MATSEQAIJ;
8180: bs = 1;
8181: }
8183: /* create MATIS object if needed */
8184: if (!reuse) {
8185: PetscCall(MatGetSize(mat, &rows, &cols));
8186: PetscCall(MatCreateIS(comm_n, bs, PETSC_DECIDE, PETSC_DECIDE, rows, cols, l2gmap, l2gmap, mat_n));
8187: } else {
8188: /* it also destroys the local matrices */
8189: if (*mat_n) {
8190: PetscCall(MatSetLocalToGlobalMapping(*mat_n, l2gmap, l2gmap));
8191: } else { /* this is a fake object */
8192: PetscCall(MatCreateIS(comm_n, bs, PETSC_DECIDE, PETSC_DECIDE, rows, cols, l2gmap, l2gmap, mat_n));
8193: }
8194: }
8195: PetscCall(MatISGetLocalMat(*mat_n, &local_mat));
8196: PetscCall(MatSetType(local_mat, new_local_type));
8198: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_vals, MPI_STATUSES_IGNORE));
8200: /* Global to local map of received indices */
8201: PetscCall(PetscMalloc1(buf_size_idxs, &recv_buffer_idxs_local)); /* needed for values insertion */
8202: PetscCall(ISGlobalToLocalMappingApply(l2gmap, IS_GTOLM_MASK, buf_size_idxs, recv_buffer_idxs, &i, recv_buffer_idxs_local));
8203: PetscCall(ISLocalToGlobalMappingDestroy(&l2gmap));
8205: /* restore attributes -> type of incoming data and its size */
8206: buf_size_idxs = 0;
8207: for (i = 0; i < n_recvs; i++) {
8208: recv_buffer_idxs_local[buf_size_idxs] = recv_buffer_idxs[buf_size_idxs];
8209: recv_buffer_idxs_local[buf_size_idxs + 1] = recv_buffer_idxs[buf_size_idxs + 1];
8210: buf_size_idxs += olengths_idxs[i];
8211: }
8212: PetscCall(PetscFree(recv_buffer_idxs));
8214: /* set preallocation */
8215: PetscCall(PetscObjectTypeCompare((PetscObject)local_mat, MATSEQDENSE, &newisdense));
8216: if (!newisdense) {
8217: PetscInt *new_local_nnz = NULL;
8219: ptr_idxs = recv_buffer_idxs_local;
8220: if (n_recvs) PetscCall(PetscCalloc1(new_local_rows, &new_local_nnz));
8221: for (i = 0; i < n_recvs; i++) {
8222: PetscInt j;
8223: if (*ptr_idxs == (PetscInt)MATDENSE_PRIVATE) { /* preallocation provided for dense case only */
8224: for (j = 0; j < *(ptr_idxs + 1); j++) new_local_nnz[*(ptr_idxs + 2 + j)] += *(ptr_idxs + 1);
8225: } else {
8226: /* TODO */
8227: }
8228: ptr_idxs += olengths_idxs[i];
8229: }
8230: if (new_local_nnz) {
8231: for (i = 0; i < new_local_rows; i++) new_local_nnz[i] = PetscMin(new_local_nnz[i], new_local_rows);
8232: PetscCall(MatSeqAIJSetPreallocation(local_mat, 0, new_local_nnz));
8233: for (i = 0; i < new_local_rows; i++) new_local_nnz[i] /= bs;
8234: PetscCall(MatSeqBAIJSetPreallocation(local_mat, bs, 0, new_local_nnz));
8235: for (i = 0; i < new_local_rows; i++) new_local_nnz[i] = PetscMax(new_local_nnz[i] - i, 0);
8236: PetscCall(MatSeqSBAIJSetPreallocation(local_mat, bs, 0, new_local_nnz));
8237: } else {
8238: PetscCall(MatSetUp(local_mat));
8239: }
8240: PetscCall(PetscFree(new_local_nnz));
8241: } else {
8242: PetscCall(MatSetUp(local_mat));
8243: }
8245: /* set values */
8246: ptr_vals = recv_buffer_vals;
8247: ptr_idxs = recv_buffer_idxs_local;
8248: for (i = 0; i < n_recvs; i++) {
8249: if (*ptr_idxs == (PetscInt)MATDENSE_PRIVATE) { /* values insertion provided for dense case only */
8250: PetscCall(MatSetOption(local_mat, MAT_ROW_ORIENTED, PETSC_FALSE));
8251: PetscCall(MatSetValues(local_mat, *(ptr_idxs + 1), ptr_idxs + 2, *(ptr_idxs + 1), ptr_idxs + 2, ptr_vals, ADD_VALUES));
8252: PetscCall(MatAssemblyBegin(local_mat, MAT_FLUSH_ASSEMBLY));
8253: PetscCall(MatAssemblyEnd(local_mat, MAT_FLUSH_ASSEMBLY));
8254: PetscCall(MatSetOption(local_mat, MAT_ROW_ORIENTED, PETSC_TRUE));
8255: } else {
8256: /* TODO */
8257: }
8258: ptr_idxs += olengths_idxs[i];
8259: ptr_vals += olengths_vals[i];
8260: }
8261: PetscCall(MatAssemblyBegin(local_mat, MAT_FINAL_ASSEMBLY));
8262: PetscCall(MatAssemblyEnd(local_mat, MAT_FINAL_ASSEMBLY));
8263: PetscCall(MatISRestoreLocalMat(*mat_n, &local_mat));
8264: PetscCall(MatAssemblyBegin(*mat_n, MAT_FINAL_ASSEMBLY));
8265: PetscCall(MatAssemblyEnd(*mat_n, MAT_FINAL_ASSEMBLY));
8266: PetscCall(PetscFree(recv_buffer_vals));
8268: #if 0
8269: if (!restrict_comm) { /* check */
8270: Vec lvec,rvec;
8271: PetscReal infty_error;
8273: PetscCall(MatCreateVecs(mat,&rvec,&lvec));
8274: PetscCall(VecSetRandom(rvec,NULL));
8275: PetscCall(MatMult(mat,rvec,lvec));
8276: PetscCall(VecScale(lvec,-1.0));
8277: PetscCall(MatMultAdd(*mat_n,rvec,lvec,lvec));
8278: PetscCall(VecNorm(lvec,NORM_INFINITY,&infty_error));
8279: PetscCall(PetscPrintf(PetscObjectComm((PetscObject)mat),"Infinity error subassembling %1.6e\n",infty_error));
8280: PetscCall(VecDestroy(&rvec));
8281: PetscCall(VecDestroy(&lvec));
8282: }
8283: #endif
8285: /* assemble new additional is (if any) */
8286: if (nis) {
8287: PetscInt **temp_idxs, *count_is, j, psum;
8289: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_idxs_is, MPI_STATUSES_IGNORE));
8290: PetscCall(PetscCalloc1(nis, &count_is));
8291: ptr_idxs = recv_buffer_idxs_is;
8292: psum = 0;
8293: for (i = 0; i < n_recvs; i++) {
8294: for (j = 0; j < nis; j++) {
8295: PetscInt plen = *(ptr_idxs); /* first element is the local size of IS's indices */
8296: count_is[j] += plen; /* increment counting of buffer for j-th IS */
8297: psum += plen;
8298: ptr_idxs += plen + 1; /* shift pointer to received data */
8299: }
8300: }
8301: PetscCall(PetscMalloc1(nis, &temp_idxs));
8302: PetscCall(PetscMalloc1(psum, &temp_idxs[0]));
8303: for (i = 1; i < nis; i++) temp_idxs[i] = PetscSafePointerPlusOffset(temp_idxs[i - 1], count_is[i - 1]);
8304: PetscCall(PetscArrayzero(count_is, nis));
8305: ptr_idxs = recv_buffer_idxs_is;
8306: for (i = 0; i < n_recvs; i++) {
8307: for (j = 0; j < nis; j++) {
8308: PetscInt plen = *(ptr_idxs); /* first element is the local size of IS's indices */
8309: PetscCall(PetscArraycpy(&temp_idxs[j][count_is[j]], ptr_idxs + 1, plen));
8310: count_is[j] += plen; /* increment starting point of buffer for j-th IS */
8311: ptr_idxs += plen + 1; /* shift pointer to received data */
8312: }
8313: }
8314: for (i = 0; i < nis; i++) {
8315: PetscCall(ISDestroy(&isarray[i]));
8316: PetscCall(PetscSortRemoveDupsInt(&count_is[i], temp_idxs[i]));
8317: PetscCall(ISCreateGeneral(comm_n, count_is[i], temp_idxs[i], PETSC_COPY_VALUES, &isarray[i]));
8318: }
8319: PetscCall(PetscFree(count_is));
8320: PetscCall(PetscFree(temp_idxs[0]));
8321: PetscCall(PetscFree(temp_idxs));
8322: }
8323: /* free workspace */
8324: PetscCall(PetscFree(recv_buffer_idxs_is));
8325: PetscCallMPI(MPI_Waitall(n_sends, send_req_idxs, MPI_STATUSES_IGNORE));
8326: PetscCall(PetscFree(send_buffer_idxs));
8327: PetscCallMPI(MPI_Waitall(n_sends, send_req_vals, MPI_STATUSES_IGNORE));
8328: if (isdense) {
8329: PetscCall(MatISGetLocalMat(mat, &local_mat));
8330: PetscCall(MatDenseRestoreArrayRead(local_mat, &send_buffer_vals));
8331: PetscCall(MatISRestoreLocalMat(mat, &local_mat));
8332: } else {
8333: /* PetscCall(PetscFree(send_buffer_vals)); */
8334: }
8335: if (nis) {
8336: PetscCallMPI(MPI_Waitall(n_sends, send_req_idxs_is, MPI_STATUSES_IGNORE));
8337: PetscCall(PetscFree(send_buffer_idxs_is));
8338: }
8340: if (nvecs) {
8341: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_vecs, MPI_STATUSES_IGNORE));
8342: PetscCallMPI(MPI_Waitall(n_sends, send_req_vecs, MPI_STATUSES_IGNORE));
8343: PetscCall(VecRestoreArray(nnsp_vec[0], &send_buffer_vecs));
8344: PetscCall(VecDestroy(&nnsp_vec[0]));
8345: PetscCall(VecCreate(comm_n, &nnsp_vec[0]));
8346: PetscCall(VecSetSizes(nnsp_vec[0], new_local_rows, PETSC_DECIDE));
8347: PetscCall(VecSetType(nnsp_vec[0], VECSTANDARD));
8348: /* set values */
8349: ptr_vals = recv_buffer_vecs;
8350: ptr_idxs = recv_buffer_idxs_local;
8351: PetscCall(VecGetArray(nnsp_vec[0], &send_buffer_vecs));
8352: for (i = 0; i < n_recvs; i++) {
8353: PetscInt j;
8354: for (j = 0; j < *(ptr_idxs + 1); j++) send_buffer_vecs[*(ptr_idxs + 2 + j)] += *(ptr_vals + j);
8355: ptr_idxs += olengths_idxs[i];
8356: ptr_vals += olengths_idxs[i] - 2;
8357: }
8358: PetscCall(VecRestoreArray(nnsp_vec[0], &send_buffer_vecs));
8359: PetscCall(VecAssemblyBegin(nnsp_vec[0]));
8360: PetscCall(VecAssemblyEnd(nnsp_vec[0]));
8361: }
8363: PetscCall(PetscFree(recv_buffer_vecs));
8364: PetscCall(PetscFree(recv_buffer_idxs_local));
8365: PetscCall(PetscFree(recv_req_idxs));
8366: PetscCall(PetscFree(recv_req_vals));
8367: PetscCall(PetscFree(recv_req_vecs));
8368: PetscCall(PetscFree(recv_req_idxs_is));
8369: PetscCall(PetscFree(send_req_idxs));
8370: PetscCall(PetscFree(send_req_vals));
8371: PetscCall(PetscFree(send_req_vecs));
8372: PetscCall(PetscFree(send_req_idxs_is));
8373: PetscCall(PetscFree(ilengths_vals));
8374: PetscCall(PetscFree(ilengths_idxs));
8375: PetscCall(PetscFree(olengths_vals));
8376: PetscCall(PetscFree(olengths_idxs));
8377: PetscCall(PetscFree(onodes));
8378: if (nis) {
8379: PetscCall(PetscFree(ilengths_idxs_is));
8380: PetscCall(PetscFree(olengths_idxs_is));
8381: PetscCall(PetscFree(onodes_is));
8382: }
8383: PetscCall(PetscSubcommDestroy(&subcomm));
8384: if (destroy_mat) { /* destroy mat is true only if restrict comm is true and process will not participate */
8385: PetscCall(MatDestroy(mat_n));
8386: for (i = 0; i < nis; i++) PetscCall(ISDestroy(&isarray[i]));
8387: if (nvecs) { /* need to match VecDestroy nnsp_vec called in the other code path */
8388: PetscCall(VecDestroy(&nnsp_vec[0]));
8389: }
8390: *mat_n = NULL;
8391: }
8392: PetscFunctionReturn(PETSC_SUCCESS);
8393: }
8395: /* temporary hack into ksp private data structure */
8396: #include <petsc/private/kspimpl.h>
8398: PetscErrorCode PCBDDCSetUpCoarseSolver(PC pc, Mat coarse_submat)
8399: {
8400: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
8401: PC_IS *pcis = (PC_IS *)pc->data;
8402: PCBDDCGraph graph = pcbddc->mat_graph;
8403: Mat coarse_mat, coarse_mat_is;
8404: Mat coarsedivudotp = NULL;
8405: Mat coarseG, t_coarse_mat_is;
8406: MatNullSpace CoarseNullSpace = NULL;
8407: ISLocalToGlobalMapping coarse_islg;
8408: IS coarse_is, *isarray, corners;
8409: PetscInt i, im_active = -1, active_procs = -1;
8410: PetscInt nis, nisdofs, nisneu, nisvert;
8411: PetscInt coarse_eqs_per_proc, coarsening_ratio;
8412: PC pc_temp;
8413: PCType coarse_pc_type;
8414: KSPType coarse_ksp_type;
8415: PetscBool multilevel_requested, multilevel_allowed;
8416: PetscBool coarse_reuse, multi_element = graph->multi_element;
8417: PetscInt ncoarse, nedcfield;
8418: PetscBool compute_vecs = PETSC_FALSE;
8419: PetscScalar *array;
8420: MatReuse coarse_mat_reuse;
8421: PetscBool restr, full_restr, have_void;
8422: PetscMPIInt size;
8424: PetscFunctionBegin;
8425: PetscCall(PetscLogEventBegin(PC_BDDC_CoarseSetUp[pcbddc->current_level], pc, 0, 0, 0));
8426: /* Assign global numbering to coarse dofs */
8427: if (pcbddc->new_primal_space || pcbddc->coarse_size == -1) { /* a new primal space is present or it is the first initialization, so recompute global numbering */
8428: PetscInt ocoarse_size;
8429: compute_vecs = PETSC_TRUE;
8431: pcbddc->new_primal_space = PETSC_TRUE;
8432: ocoarse_size = pcbddc->coarse_size;
8433: PetscCall(PetscFree(pcbddc->global_primal_indices));
8434: PetscCall(PCBDDCComputePrimalNumbering(pc, &pcbddc->coarse_size, &pcbddc->global_primal_indices));
8435: /* see if we can avoid some work */
8436: if (pcbddc->coarse_ksp) { /* coarse ksp has already been created */
8437: /* if the coarse size is different or we are using adaptive selection, better to not reuse the coarse matrix */
8438: if (ocoarse_size != pcbddc->coarse_size || pcbddc->adaptive_selection) {
8439: PetscCall(KSPReset(pcbddc->coarse_ksp));
8440: coarse_reuse = PETSC_FALSE;
8441: } else { /* we can safely reuse already computed coarse matrix */
8442: coarse_reuse = PETSC_TRUE;
8443: }
8444: } else { /* there's no coarse ksp, so we need to create the coarse matrix too */
8445: coarse_reuse = PETSC_FALSE;
8446: }
8447: /* reset any subassembling information */
8448: if (!coarse_reuse || pcbddc->recompute_topography) PetscCall(ISDestroy(&pcbddc->coarse_subassembling));
8449: } else { /* primal space is unchanged, so we can reuse coarse matrix */
8450: coarse_reuse = PETSC_TRUE;
8451: }
8452: if (coarse_reuse && pcbddc->coarse_ksp) {
8453: PetscCall(KSPGetOperators(pcbddc->coarse_ksp, &coarse_mat, NULL));
8454: PetscCall(PetscObjectReference((PetscObject)coarse_mat));
8455: coarse_mat_reuse = MAT_REUSE_MATRIX;
8456: } else {
8457: coarse_mat = NULL;
8458: coarse_mat_reuse = MAT_INITIAL_MATRIX;
8459: }
8461: /* creates temporary l2gmap and IS for coarse indexes */
8462: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), pcbddc->local_primal_size, pcbddc->global_primal_indices, PETSC_COPY_VALUES, &coarse_is));
8463: PetscCall(ISLocalToGlobalMappingCreateIS(coarse_is, &coarse_islg));
8465: /* creates temporary MATIS object for coarse matrix */
8466: PetscCall(MatCreate(PetscObjectComm((PetscObject)pc), &t_coarse_mat_is));
8467: PetscCall(MatSetType(t_coarse_mat_is, MATIS));
8468: PetscCall(MatSetSizes(t_coarse_mat_is, PETSC_DECIDE, PETSC_DECIDE, pcbddc->coarse_size, pcbddc->coarse_size));
8469: PetscCall(MatISSetAllowRepeated(t_coarse_mat_is, PETSC_TRUE));
8470: PetscCall(MatSetLocalToGlobalMapping(t_coarse_mat_is, coarse_islg, coarse_islg));
8471: PetscCall(MatISSetLocalMat(t_coarse_mat_is, coarse_submat));
8472: PetscCall(MatAssemblyBegin(t_coarse_mat_is, MAT_FINAL_ASSEMBLY));
8473: PetscCall(MatAssemblyEnd(t_coarse_mat_is, MAT_FINAL_ASSEMBLY));
8474: PetscCall(MatViewFromOptions(t_coarse_mat_is, (PetscObject)pc, "-pc_bddc_coarse_mat_is_view"));
8476: /* count "active" (i.e. with positive local size) and "void" processes */
8477: im_active = !!pcis->n;
8478: PetscCallMPI(MPIU_Allreduce(&im_active, &active_procs, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)pc)));
8480: /* determine number of processes partecipating to coarse solver and compute subassembling pattern */
8481: /* restr : whether we want to exclude senders (which are not receivers) from the subassembling pattern */
8482: /* full_restr : just use the receivers from the subassembling pattern */
8483: PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pc), &size));
8484: coarse_mat_is = NULL;
8485: multilevel_allowed = PETSC_FALSE;
8486: multilevel_requested = PETSC_FALSE;
8487: coarse_eqs_per_proc = PetscMin(PetscMax(pcbddc->coarse_size, 1), pcbddc->coarse_eqs_per_proc);
8488: if (coarse_eqs_per_proc < 0 || size == 1) coarse_eqs_per_proc = PetscMax(pcbddc->coarse_size, 1);
8489: if (pcbddc->current_level < pcbddc->max_levels) multilevel_requested = PETSC_TRUE;
8490: if (pcbddc->coarse_size <= pcbddc->coarse_eqs_limit) multilevel_requested = PETSC_FALSE;
8491: coarsening_ratio = multi_element ? 1 : pcbddc->coarsening_ratio;
8492: if (multilevel_requested) {
8493: ncoarse = active_procs / coarsening_ratio;
8494: restr = PETSC_FALSE;
8495: full_restr = PETSC_FALSE;
8496: } else {
8497: ncoarse = pcbddc->coarse_size / coarse_eqs_per_proc + !!(pcbddc->coarse_size % coarse_eqs_per_proc);
8498: restr = PETSC_TRUE;
8499: full_restr = PETSC_TRUE;
8500: }
8501: if (!pcbddc->coarse_size || size == 1) multilevel_allowed = multilevel_requested = restr = full_restr = PETSC_FALSE;
8502: ncoarse = PetscMax(1, ncoarse);
8503: if (!pcbddc->coarse_subassembling) {
8504: if (coarsening_ratio > 1) {
8505: if (multilevel_requested) {
8506: PetscCall(PCBDDCMatISGetSubassemblingPattern(pc->pmat, &ncoarse, pcbddc->coarse_adj_red, &pcbddc->coarse_subassembling, &have_void));
8507: } else {
8508: PetscCall(PCBDDCMatISGetSubassemblingPattern(t_coarse_mat_is, &ncoarse, pcbddc->coarse_adj_red, &pcbddc->coarse_subassembling, &have_void));
8509: }
8510: } else {
8511: PetscMPIInt rank;
8513: PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pc), &rank));
8514: have_void = (active_procs == size) ? PETSC_FALSE : PETSC_TRUE;
8515: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), 1, rank, 1, &pcbddc->coarse_subassembling));
8516: }
8517: } else { /* if a subassembling pattern exists, then we can reuse the coarse ksp and compute the number of process involved */
8518: PetscInt psum;
8519: if (pcbddc->coarse_ksp) psum = 1;
8520: else psum = 0;
8521: PetscCallMPI(MPIU_Allreduce(&psum, &ncoarse, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)pc)));
8522: have_void = ncoarse < size ? PETSC_TRUE : PETSC_FALSE;
8523: }
8524: /* determine if we can go multilevel */
8525: if (multilevel_requested) {
8526: if (ncoarse > 1) multilevel_allowed = PETSC_TRUE; /* found enough processes */
8527: else restr = full_restr = PETSC_TRUE; /* 1 subdomain, use a direct solver */
8528: }
8529: if (multilevel_allowed && have_void) restr = PETSC_TRUE;
8531: /* dump subassembling pattern */
8532: if (pcbddc->dbg_flag && multilevel_allowed) PetscCall(ISView(pcbddc->coarse_subassembling, pcbddc->dbg_viewer));
8533: /* compute dofs splitting and neumann boundaries for coarse dofs */
8534: nedcfield = -1;
8535: corners = NULL;
8536: if (multilevel_allowed && !coarse_reuse && (pcbddc->n_ISForDofsLocal || pcbddc->NeumannBoundariesLocal || pcbddc->nedclocal || pcbddc->corner_selected)) { /* protects from unneeded computations */
8537: PetscInt *tidxs, *tidxs2, nout, tsize, i;
8538: const PetscInt *idxs;
8539: ISLocalToGlobalMapping tmap;
8541: /* create map between primal indices (in local representative ordering) and local primal numbering */
8542: PetscCall(ISLocalToGlobalMappingCreate(PETSC_COMM_SELF, 1, pcbddc->local_primal_size, pcbddc->primal_indices_local_idxs, PETSC_COPY_VALUES, &tmap));
8543: /* allocate space for temporary storage */
8544: PetscCall(PetscMalloc1(pcbddc->local_primal_size, &tidxs));
8545: PetscCall(PetscMalloc1(pcbddc->local_primal_size, &tidxs2));
8546: /* allocate for IS array */
8547: nisdofs = pcbddc->n_ISForDofsLocal;
8548: if (pcbddc->nedclocal) {
8549: if (pcbddc->nedfield > -1) {
8550: nedcfield = pcbddc->nedfield;
8551: } else {
8552: nedcfield = 0;
8553: PetscCheck(!nisdofs, PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "This should not happen (%" PetscInt_FMT ")", nisdofs);
8554: nisdofs = 1;
8555: }
8556: }
8557: nisneu = !!pcbddc->NeumannBoundariesLocal;
8558: nisvert = 0; /* nisvert is not used */
8559: nis = nisdofs + nisneu + nisvert;
8560: PetscCall(PetscMalloc1(nis, &isarray));
8561: /* dofs splitting */
8562: for (i = 0; i < nisdofs; i++) {
8563: /* PetscCall(ISView(pcbddc->ISForDofsLocal[i],0)); */
8564: if (nedcfield != i) {
8565: PetscCall(ISGetLocalSize(pcbddc->ISForDofsLocal[i], &tsize));
8566: PetscCall(ISGetIndices(pcbddc->ISForDofsLocal[i], &idxs));
8567: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8568: PetscCall(ISRestoreIndices(pcbddc->ISForDofsLocal[i], &idxs));
8569: } else {
8570: PetscCall(ISGetLocalSize(pcbddc->nedclocal, &tsize));
8571: PetscCall(ISGetIndices(pcbddc->nedclocal, &idxs));
8572: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8573: PetscCheck(tsize == nout, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Failed when mapping coarse nedelec field! %" PetscInt_FMT " != %" PetscInt_FMT, tsize, nout);
8574: PetscCall(ISRestoreIndices(pcbddc->nedclocal, &idxs));
8575: }
8576: PetscCall(ISLocalToGlobalMappingApply(coarse_islg, nout, tidxs, tidxs2));
8577: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), nout, tidxs2, PETSC_COPY_VALUES, &isarray[i]));
8578: /* PetscCall(ISView(isarray[i],0)); */
8579: }
8580: /* neumann boundaries */
8581: if (pcbddc->NeumannBoundariesLocal) {
8582: /* PetscCall(ISView(pcbddc->NeumannBoundariesLocal,0)); */
8583: PetscCall(ISGetLocalSize(pcbddc->NeumannBoundariesLocal, &tsize));
8584: PetscCall(ISGetIndices(pcbddc->NeumannBoundariesLocal, &idxs));
8585: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8586: PetscCall(ISRestoreIndices(pcbddc->NeumannBoundariesLocal, &idxs));
8587: PetscCall(ISLocalToGlobalMappingApply(coarse_islg, nout, tidxs, tidxs2));
8588: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), nout, tidxs2, PETSC_COPY_VALUES, &isarray[nisdofs]));
8589: /* PetscCall(ISView(isarray[nisdofs],0)); */
8590: }
8591: /* coordinates */
8592: if (pcbddc->corner_selected) {
8593: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &corners));
8594: PetscCall(ISGetLocalSize(corners, &tsize));
8595: PetscCall(ISGetIndices(corners, &idxs));
8596: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8597: PetscCheck(tsize == nout, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Failed when mapping corners! %" PetscInt_FMT " != %" PetscInt_FMT, tsize, nout);
8598: PetscCall(ISRestoreIndices(corners, &idxs));
8599: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &corners));
8600: PetscCall(ISLocalToGlobalMappingApply(coarse_islg, nout, tidxs, tidxs2));
8601: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), nout, tidxs2, PETSC_COPY_VALUES, &corners));
8602: }
8603: PetscCall(PetscFree(tidxs));
8604: PetscCall(PetscFree(tidxs2));
8605: PetscCall(ISLocalToGlobalMappingDestroy(&tmap));
8606: } else {
8607: nis = 0;
8608: nisdofs = 0;
8609: nisneu = 0;
8610: nisvert = 0;
8611: isarray = NULL;
8612: }
8613: /* destroy no longer needed map */
8614: PetscCall(ISLocalToGlobalMappingDestroy(&coarse_islg));
8616: /* subassemble */
8617: if (multilevel_allowed) {
8618: Vec vp[1];
8619: PetscInt nvecs = 0;
8620: PetscBool reuse;
8622: vp[0] = NULL;
8623: /* XXX HDIV also */
8624: if (pcbddc->benign_have_null) { /* propagate no-net-flux quadrature to coarser level */
8625: PetscCall(VecCreate(PetscObjectComm((PetscObject)pc), &vp[0]));
8626: PetscCall(VecSetSizes(vp[0], pcbddc->local_primal_size, PETSC_DECIDE));
8627: PetscCall(VecSetType(vp[0], VECSTANDARD));
8628: nvecs = 1;
8630: if (pcbddc->divudotp) {
8631: Mat B, loc_divudotp;
8632: Vec v, p;
8633: IS dummy;
8634: PetscInt np;
8636: PetscCall(MatISGetLocalMat(pcbddc->divudotp, &loc_divudotp));
8637: PetscCall(MatGetSize(loc_divudotp, &np, NULL));
8638: PetscCall(ISCreateStride(PETSC_COMM_SELF, np, 0, 1, &dummy));
8639: PetscCall(MatCreateSubMatrix(loc_divudotp, dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &B));
8640: PetscCall(MatCreateVecs(B, &v, &p));
8641: PetscCall(VecSet(p, 1.));
8642: PetscCall(MatMultTranspose(B, p, v));
8643: PetscCall(VecDestroy(&p));
8644: PetscCall(MatDestroy(&B));
8645: PetscCall(VecGetArray(vp[0], &array));
8646: PetscCall(VecPlaceArray(pcbddc->vec1_P, array));
8647: PetscCall(MatMultTranspose(pcbddc->coarse_phi_B, v, pcbddc->vec1_P));
8648: PetscCall(VecResetArray(pcbddc->vec1_P));
8649: PetscCall(VecRestoreArray(vp[0], &array));
8650: PetscCall(ISDestroy(&dummy));
8651: PetscCall(VecDestroy(&v));
8652: }
8653: }
8654: if (coarse_mat) reuse = PETSC_TRUE;
8655: else reuse = PETSC_FALSE;
8656: if (multi_element) {
8657: /* XXX divudotp */
8658: PetscCall(MatISSetAllowRepeated(t_coarse_mat_is, PETSC_FALSE));
8659: PetscCall(PetscObjectReference((PetscObject)t_coarse_mat_is));
8660: coarse_mat_is = t_coarse_mat_is;
8661: } else {
8662: PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, &reuse, 1, MPIU_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
8663: if (reuse) {
8664: PetscCall(PCBDDCMatISSubassemble(t_coarse_mat_is, pcbddc->coarse_subassembling, 0, restr, full_restr, PETSC_TRUE, &coarse_mat, nis, isarray, nvecs, vp));
8665: } else {
8666: PetscCall(PCBDDCMatISSubassemble(t_coarse_mat_is, pcbddc->coarse_subassembling, 0, restr, full_restr, PETSC_FALSE, &coarse_mat_is, nis, isarray, nvecs, vp));
8667: }
8668: if (vp[0]) { /* vp[0] could have been placed on a different set of processes */
8669: PetscScalar *arraym;
8670: const PetscScalar *arrayv;
8671: PetscInt nl;
8672: PetscCall(VecGetLocalSize(vp[0], &nl));
8673: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, 1, nl, NULL, &coarsedivudotp));
8674: PetscCall(MatDenseGetArray(coarsedivudotp, &arraym));
8675: PetscCall(VecGetArrayRead(vp[0], &arrayv));
8676: PetscCall(PetscArraycpy(arraym, arrayv, nl));
8677: PetscCall(VecRestoreArrayRead(vp[0], &arrayv));
8678: PetscCall(MatDenseRestoreArray(coarsedivudotp, &arraym));
8679: PetscCall(VecDestroy(&vp[0]));
8680: } else {
8681: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, 0, 0, 1, NULL, &coarsedivudotp));
8682: }
8683: }
8684: } else {
8685: if (ncoarse != size) PetscCall(PCBDDCMatISSubassemble(t_coarse_mat_is, pcbddc->coarse_subassembling, 0, restr, full_restr, PETSC_FALSE, &coarse_mat_is, 0, NULL, 0, NULL));
8686: else {
8687: PetscCall(PetscObjectReference((PetscObject)t_coarse_mat_is));
8688: coarse_mat_is = t_coarse_mat_is;
8689: }
8690: }
8691: if (coarse_mat_is || coarse_mat) {
8692: if (!multilevel_allowed) {
8693: PetscCall(MatConvert(coarse_mat_is, MATAIJ, coarse_mat_reuse, &coarse_mat));
8694: } else {
8695: /* if this matrix is present, it means we are not reusing the coarse matrix */
8696: if (coarse_mat_is) {
8697: PetscCheck(!coarse_mat, PetscObjectComm((PetscObject)coarse_mat_is), PETSC_ERR_PLIB, "This should not happen");
8698: PetscCall(PetscObjectReference((PetscObject)coarse_mat_is));
8699: coarse_mat = coarse_mat_is;
8700: }
8701: }
8702: }
8703: PetscCall(MatDestroy(&t_coarse_mat_is));
8704: PetscCall(MatDestroy(&coarse_mat_is));
8706: /* create local to global scatters for coarse problem */
8707: if (compute_vecs) {
8708: PetscInt lrows;
8709: PetscCall(VecDestroy(&pcbddc->coarse_vec));
8710: if (coarse_mat) {
8711: PetscCall(MatGetLocalSize(coarse_mat, &lrows, NULL));
8712: } else {
8713: lrows = 0;
8714: }
8715: PetscCall(VecCreate(PetscObjectComm((PetscObject)pc), &pcbddc->coarse_vec));
8716: PetscCall(VecSetSizes(pcbddc->coarse_vec, lrows, PETSC_DECIDE));
8717: PetscCall(VecSetType(pcbddc->coarse_vec, coarse_mat ? coarse_mat->defaultvectype : VECSTANDARD));
8718: PetscCall(VecScatterDestroy(&pcbddc->coarse_loc_to_glob));
8719: PetscCall(VecScatterCreate(pcbddc->vec1_P, NULL, pcbddc->coarse_vec, coarse_is, &pcbddc->coarse_loc_to_glob));
8720: }
8721: PetscCall(ISDestroy(&coarse_is));
8723: /* set defaults for coarse KSP and PC */
8724: if (multilevel_allowed) {
8725: coarse_ksp_type = KSPRICHARDSON;
8726: coarse_pc_type = PCBDDC;
8727: } else {
8728: coarse_ksp_type = KSPPREONLY;
8729: coarse_pc_type = PCREDUNDANT;
8730: }
8732: /* print some info if requested */
8733: if (pcbddc->dbg_flag) {
8734: if (!multilevel_allowed) {
8735: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
8736: if (multilevel_requested) {
8737: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Not enough active processes on level %" PetscInt_FMT " (active processes %" PetscInt_FMT ", coarsening ratio %" PetscInt_FMT ")\n", pcbddc->current_level, active_procs, coarsening_ratio));
8738: } else if (pcbddc->max_levels) {
8739: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Maximum number of requested levels reached (%" PetscInt_FMT ")\n", pcbddc->max_levels));
8740: }
8741: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
8742: }
8743: }
8745: /* communicate coarse discrete gradient */
8746: coarseG = NULL;
8747: if (pcbddc->nedcG && multilevel_allowed) {
8748: MPI_Comm ccomm;
8749: if (coarse_mat) {
8750: ccomm = PetscObjectComm((PetscObject)coarse_mat);
8751: } else {
8752: ccomm = MPI_COMM_NULL;
8753: }
8754: PetscCall(MatMPIAIJRestrict(pcbddc->nedcG, ccomm, &coarseG));
8755: }
8757: /* create the coarse KSP object only once with defaults */
8758: if (coarse_mat) {
8759: PetscBool isredundant, isbddc, force, valid;
8760: PetscViewer dbg_viewer = NULL;
8761: PetscBool isset, issym, isher, isspd;
8763: if (pcbddc->dbg_flag) {
8764: dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)coarse_mat));
8765: PetscCall(PetscViewerASCIIAddTab(dbg_viewer, 2 * pcbddc->current_level));
8766: }
8767: if (!pcbddc->coarse_ksp) {
8768: char prefix[256], str_level[16];
8769: size_t len;
8771: PetscCall(KSPCreate(PetscObjectComm((PetscObject)coarse_mat), &pcbddc->coarse_ksp));
8772: PetscCall(KSPSetNestLevel(pcbddc->coarse_ksp, pc->kspnestlevel));
8773: PetscCall(KSPSetErrorIfNotConverged(pcbddc->coarse_ksp, pc->erroriffailure));
8774: PetscCall(PetscObjectIncrementTabLevel((PetscObject)pcbddc->coarse_ksp, (PetscObject)pc, 1));
8775: PetscCall(KSPSetTolerances(pcbddc->coarse_ksp, PETSC_CURRENT, PETSC_CURRENT, PETSC_CURRENT, 1));
8776: PetscCall(KSPSetOperators(pcbddc->coarse_ksp, coarse_mat, coarse_mat));
8777: PetscCall(KSPSetType(pcbddc->coarse_ksp, coarse_ksp_type));
8778: PetscCall(KSPSetNormType(pcbddc->coarse_ksp, KSP_NORM_NONE));
8779: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &pc_temp));
8780: /* TODO is this logic correct? should check for coarse_mat type */
8781: PetscCall(PCSetType(pc_temp, coarse_pc_type));
8782: /* prefix */
8783: PetscCall(PetscStrncpy(prefix, "", sizeof(prefix)));
8784: PetscCall(PetscStrncpy(str_level, "", sizeof(str_level)));
8785: if (!pcbddc->current_level) {
8786: PetscCall(PetscStrncpy(prefix, ((PetscObject)pc)->prefix, sizeof(prefix)));
8787: PetscCall(PetscStrlcat(prefix, "pc_bddc_coarse_", sizeof(prefix)));
8788: } else {
8789: PetscCall(PetscStrlen(((PetscObject)pc)->prefix, &len));
8790: if (pcbddc->current_level > 1) len -= 3; /* remove "lX_" with X level number */
8791: if (pcbddc->current_level > 10) len -= 1; /* remove another char from level number */
8792: /* Nonstandard use of PetscStrncpy() to copy only a portion of the string */
8793: PetscCall(PetscStrncpy(prefix, ((PetscObject)pc)->prefix, len + 1));
8794: PetscCall(PetscSNPrintf(str_level, sizeof(str_level), "l%" PetscInt_FMT "_", pcbddc->current_level));
8795: PetscCall(PetscStrlcat(prefix, str_level, sizeof(prefix)));
8796: }
8797: PetscCall(KSPSetOptionsPrefix(pcbddc->coarse_ksp, prefix));
8798: /* propagate BDDC info to the next level (these are dummy calls if pc_temp is not of type PCBDDC) */
8799: PetscCall(PCBDDCSetLevel(pc_temp, pcbddc->current_level + 1));
8800: PetscCall(PCBDDCSetCoarseningRatio(pc_temp, pcbddc->coarsening_ratio));
8801: PetscCall(PCBDDCSetLevels(pc_temp, pcbddc->max_levels));
8802: /* allow user customization */
8803: PetscCall(KSPSetFromOptions(pcbddc->coarse_ksp));
8804: /* get some info after set from options */
8805: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &pc_temp));
8806: /* multilevel cannot be done with coarse PC different from BDDC, NN, HPDDM, unless forced to */
8807: force = PETSC_FALSE;
8808: PetscCall(PetscOptionsGetBool(NULL, ((PetscObject)pc_temp)->prefix, "-pc_type_forced", &force, NULL));
8809: PetscCall(PetscObjectTypeCompareAny((PetscObject)pc_temp, &valid, PCBDDC, PCNN, PCHPDDM, ""));
8810: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCBDDC, &isbddc));
8811: if (multilevel_allowed && !force && !valid) {
8812: isbddc = PETSC_TRUE;
8813: PetscCall(PCSetType(pc_temp, PCBDDC));
8814: PetscCall(PCBDDCSetLevel(pc_temp, pcbddc->current_level + 1));
8815: PetscCall(PCBDDCSetCoarseningRatio(pc_temp, pcbddc->coarsening_ratio));
8816: PetscCall(PCBDDCSetLevels(pc_temp, pcbddc->max_levels));
8817: if (pc_temp->ops->setfromoptions) { /* need to setfromoptions again, skipping the pc_type */
8818: PetscObjectOptionsBegin((PetscObject)pc_temp);
8819: PetscCall((*pc_temp->ops->setfromoptions)(pc_temp, PetscOptionsObject));
8820: PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)pc_temp, PetscOptionsObject));
8821: PetscOptionsEnd();
8822: pc_temp->setfromoptionscalled++;
8823: }
8824: }
8825: }
8826: /* propagate BDDC info to the next level (these are dummy calls if pc_temp is not of type PCBDDC) */
8827: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &pc_temp));
8828: if (nisdofs) {
8829: PetscCall(PCBDDCSetDofsSplitting(pc_temp, nisdofs, isarray));
8830: for (i = 0; i < nisdofs; i++) PetscCall(ISDestroy(&isarray[i]));
8831: }
8832: if (nisneu) {
8833: PetscCall(PCBDDCSetNeumannBoundaries(pc_temp, isarray[nisdofs]));
8834: PetscCall(ISDestroy(&isarray[nisdofs]));
8835: }
8836: if (nisvert) {
8837: PetscCall(PCBDDCSetPrimalVerticesIS(pc_temp, isarray[nis - 1]));
8838: PetscCall(ISDestroy(&isarray[nis - 1]));
8839: }
8840: if (coarseG) PetscCall(PCBDDCSetDiscreteGradient(pc_temp, coarseG, 1, nedcfield, PETSC_FALSE, PETSC_TRUE));
8842: /* get some info after set from options */
8843: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCBDDC, &isbddc));
8845: /* multilevel can only be requested via -pc_bddc_levels or PCBDDCSetLevels */
8846: if (isbddc && !multilevel_allowed) PetscCall(PCSetType(pc_temp, coarse_pc_type));
8847: /* multilevel cannot be done with coarse PC different from BDDC, NN, HPDDM, unless forced to */
8848: force = PETSC_FALSE;
8849: PetscCall(PetscOptionsGetBool(NULL, ((PetscObject)pc_temp)->prefix, "-pc_type_forced", &force, NULL));
8850: PetscCall(PetscObjectTypeCompareAny((PetscObject)pc_temp, &valid, PCBDDC, PCNN, PCHPDDM, ""));
8851: if (multilevel_requested && multilevel_allowed && !valid && !force) PetscCall(PCSetType(pc_temp, PCBDDC));
8852: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCREDUNDANT, &isredundant));
8853: if (isredundant) {
8854: KSP inner_ksp;
8855: PC inner_pc;
8857: PetscCall(PCRedundantGetKSP(pc_temp, &inner_ksp));
8858: PetscCall(KSPGetPC(inner_ksp, &inner_pc));
8859: }
8861: /* parameters which miss an API */
8862: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCBDDC, &isbddc));
8863: if (isbddc) {
8864: PC_BDDC *pcbddc_coarse = (PC_BDDC *)pc_temp->data;
8866: pcbddc_coarse->detect_disconnected = PETSC_TRUE;
8867: pcbddc_coarse->coarse_eqs_per_proc = pcbddc->coarse_eqs_per_proc;
8868: pcbddc_coarse->coarse_eqs_limit = pcbddc->coarse_eqs_limit;
8869: pcbddc_coarse->benign_saddle_point = pcbddc->benign_have_null;
8870: if (pcbddc_coarse->benign_saddle_point) {
8871: Mat coarsedivudotp_is;
8872: ISLocalToGlobalMapping l2gmap, rl2g, cl2g;
8873: IS row, col;
8874: const PetscInt *gidxs;
8875: PetscInt n, st, M, N;
8877: PetscCall(MatGetSize(coarsedivudotp, &n, NULL));
8878: PetscCallMPI(MPI_Scan(&n, &st, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)coarse_mat)));
8879: st = st - n;
8880: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)coarse_mat), 1, st, 1, &row));
8881: PetscCall(MatISGetLocalToGlobalMapping(coarse_mat, &l2gmap, NULL));
8882: PetscCall(ISLocalToGlobalMappingGetSize(l2gmap, &n));
8883: PetscCall(ISLocalToGlobalMappingGetIndices(l2gmap, &gidxs));
8884: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)coarse_mat), n, gidxs, PETSC_COPY_VALUES, &col));
8885: PetscCall(ISLocalToGlobalMappingRestoreIndices(l2gmap, &gidxs));
8886: PetscCall(ISLocalToGlobalMappingCreateIS(row, &rl2g));
8887: PetscCall(ISLocalToGlobalMappingCreateIS(col, &cl2g));
8888: PetscCall(ISGetSize(row, &M));
8889: PetscCall(MatGetSize(coarse_mat, &N, NULL));
8890: PetscCall(ISDestroy(&row));
8891: PetscCall(ISDestroy(&col));
8892: PetscCall(MatCreate(PetscObjectComm((PetscObject)coarse_mat), &coarsedivudotp_is));
8893: PetscCall(MatSetType(coarsedivudotp_is, MATIS));
8894: PetscCall(MatSetSizes(coarsedivudotp_is, PETSC_DECIDE, PETSC_DECIDE, M, N));
8895: PetscCall(MatSetLocalToGlobalMapping(coarsedivudotp_is, rl2g, cl2g));
8896: PetscCall(ISLocalToGlobalMappingDestroy(&rl2g));
8897: PetscCall(ISLocalToGlobalMappingDestroy(&cl2g));
8898: PetscCall(MatISSetLocalMat(coarsedivudotp_is, coarsedivudotp));
8899: PetscCall(MatDestroy(&coarsedivudotp));
8900: PetscCall(PCBDDCSetDivergenceMat(pc_temp, coarsedivudotp_is, PETSC_FALSE, NULL));
8901: PetscCall(MatDestroy(&coarsedivudotp_is));
8902: pcbddc_coarse->adaptive_userdefined = PETSC_TRUE;
8903: if (pcbddc->adaptive_threshold[0] == 0.0) pcbddc_coarse->deluxe_zerorows = PETSC_TRUE;
8904: }
8905: }
8907: /* propagate symmetry info of coarse matrix */
8908: PetscCall(MatSetOption(coarse_mat, MAT_STRUCTURALLY_SYMMETRIC, PETSC_TRUE));
8909: PetscCall(MatIsSymmetricKnown(pc->pmat, &isset, &issym));
8910: if (isset) PetscCall(MatSetOption(coarse_mat, MAT_SYMMETRIC, issym));
8911: PetscCall(MatIsHermitianKnown(pc->pmat, &isset, &isher));
8912: if (isset) PetscCall(MatSetOption(coarse_mat, MAT_HERMITIAN, isher));
8913: PetscCall(MatIsSPDKnown(pc->pmat, &isset, &isspd));
8914: if (isset) PetscCall(MatSetOption(coarse_mat, MAT_SPD, isspd));
8916: if (pcbddc->benign_saddle_point && !pcbddc->benign_have_null) PetscCall(MatSetOption(coarse_mat, MAT_SPD, PETSC_TRUE));
8917: /* set operators */
8918: PetscCall(MatViewFromOptions(coarse_mat, (PetscObject)pc, "-pc_bddc_coarse_mat_view"));
8919: PetscCall(MatSetOptionsPrefix(coarse_mat, ((PetscObject)pcbddc->coarse_ksp)->prefix));
8920: PetscCall(KSPSetOperators(pcbddc->coarse_ksp, coarse_mat, coarse_mat));
8921: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISubtractTab(dbg_viewer, 2 * pcbddc->current_level));
8922: }
8923: PetscCall(MatDestroy(&coarseG));
8924: PetscCall(PetscFree(isarray));
8925: #if 0
8926: {
8927: PetscViewer viewer;
8928: char filename[256];
8929: PetscCall(PetscSNPrintf(filename, PETSC_STATIC_ARRAY_LENGTH(filename), "coarse_mat_level%d.m",pcbddc->current_level));
8930: PetscCall(PetscViewerASCIIOpen(PetscObjectComm((PetscObject)coarse_mat),filename,&viewer));
8931: PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
8932: PetscCall(MatView(coarse_mat,viewer));
8933: PetscCall(PetscViewerPopFormat(viewer));
8934: PetscCall(PetscViewerDestroy(&viewer));
8935: }
8936: #endif
8938: if (corners) {
8939: Vec gv;
8940: IS is;
8941: const PetscInt *idxs;
8942: PetscInt i, d, N, n, cdim = pcbddc->mat_graph->cdim;
8943: PetscScalar *coords;
8945: PetscCheck(pcbddc->mat_graph->cloc, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Missing local coordinates");
8946: PetscCall(VecGetSize(pcbddc->coarse_vec, &N));
8947: PetscCall(VecGetLocalSize(pcbddc->coarse_vec, &n));
8948: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcbddc->coarse_vec), &gv));
8949: PetscCall(VecSetBlockSize(gv, cdim));
8950: PetscCall(VecSetSizes(gv, n * cdim, N * cdim));
8951: PetscCall(VecSetType(gv, VECSTANDARD));
8952: PetscCall(VecSetFromOptions(gv));
8953: PetscCall(VecSet(gv, PETSC_MAX_REAL)); /* we only propagate coordinates from vertices constraints */
8955: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &is));
8956: PetscCall(ISGetLocalSize(is, &n));
8957: PetscCall(ISGetIndices(is, &idxs));
8958: PetscCall(PetscMalloc1(n * cdim, &coords));
8959: for (i = 0; i < n; i++) {
8960: for (d = 0; d < cdim; d++) coords[cdim * i + d] = pcbddc->mat_graph->coords[cdim * idxs[i] + d];
8961: }
8962: PetscCall(ISRestoreIndices(is, &idxs));
8963: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &is));
8965: PetscCall(ISGetLocalSize(corners, &n));
8966: PetscCall(ISGetIndices(corners, &idxs));
8967: PetscCall(VecSetValuesBlocked(gv, n, idxs, coords, INSERT_VALUES));
8968: PetscCall(ISRestoreIndices(corners, &idxs));
8969: PetscCall(PetscFree(coords));
8970: PetscCall(VecAssemblyBegin(gv));
8971: PetscCall(VecAssemblyEnd(gv));
8972: PetscCall(VecGetArray(gv, &coords));
8973: if (pcbddc->coarse_ksp) {
8974: PC coarse_pc;
8975: PetscBool isbddc;
8977: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
8978: PetscCall(PetscObjectTypeCompare((PetscObject)coarse_pc, PCBDDC, &isbddc));
8979: if (isbddc) { /* coarse coordinates have PETSC_MAX_REAL, specific for BDDC */
8980: PetscReal *realcoords;
8982: PetscCall(VecGetLocalSize(gv, &n));
8983: #if defined(PETSC_USE_COMPLEX)
8984: PetscCall(PetscMalloc1(n, &realcoords));
8985: for (i = 0; i < n; i++) realcoords[i] = PetscRealPart(coords[i]);
8986: #else
8987: realcoords = coords;
8988: #endif
8989: PetscCall(PCSetCoordinates(coarse_pc, cdim, n / cdim, realcoords));
8990: #if defined(PETSC_USE_COMPLEX)
8991: PetscCall(PetscFree(realcoords));
8992: #endif
8993: }
8994: }
8995: PetscCall(VecRestoreArray(gv, &coords));
8996: PetscCall(VecDestroy(&gv));
8997: }
8998: PetscCall(ISDestroy(&corners));
9000: if (pcbddc->coarse_ksp) {
9001: Vec crhs, csol;
9003: PetscCall(KSPGetSolution(pcbddc->coarse_ksp, &csol));
9004: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &crhs));
9005: if (!csol) PetscCall(MatCreateVecs(coarse_mat, &pcbddc->coarse_ksp->vec_sol, NULL));
9006: if (!crhs) PetscCall(MatCreateVecs(coarse_mat, NULL, &pcbddc->coarse_ksp->vec_rhs));
9007: }
9008: PetscCall(MatDestroy(&coarsedivudotp));
9010: /* compute null space for coarse solver if the benign trick has been requested */
9011: if (pcbddc->benign_null) {
9012: PetscCall(VecSet(pcbddc->vec1_P, 0.));
9013: for (i = 0; i < pcbddc->benign_n; i++) PetscCall(VecSetValue(pcbddc->vec1_P, pcbddc->local_primal_size - pcbddc->benign_n + i, 1.0, INSERT_VALUES));
9014: PetscCall(VecAssemblyBegin(pcbddc->vec1_P));
9015: PetscCall(VecAssemblyEnd(pcbddc->vec1_P));
9016: PetscCall(VecScatterBegin(pcbddc->coarse_loc_to_glob, pcbddc->vec1_P, pcbddc->coarse_vec, INSERT_VALUES, SCATTER_FORWARD));
9017: PetscCall(VecScatterEnd(pcbddc->coarse_loc_to_glob, pcbddc->vec1_P, pcbddc->coarse_vec, INSERT_VALUES, SCATTER_FORWARD));
9018: if (coarse_mat) {
9019: Vec nullv;
9020: PetscScalar *array, *array2;
9021: PetscInt nl;
9023: PetscCall(MatCreateVecs(coarse_mat, &nullv, NULL));
9024: PetscCall(VecGetLocalSize(nullv, &nl));
9025: PetscCall(VecGetArrayRead(pcbddc->coarse_vec, (const PetscScalar **)&array));
9026: PetscCall(VecGetArray(nullv, &array2));
9027: PetscCall(PetscArraycpy(array2, array, nl));
9028: PetscCall(VecRestoreArray(nullv, &array2));
9029: PetscCall(VecRestoreArrayRead(pcbddc->coarse_vec, (const PetscScalar **)&array));
9030: PetscCall(VecNormalize(nullv, NULL));
9031: PetscCall(MatNullSpaceCreate(PetscObjectComm((PetscObject)coarse_mat), PETSC_FALSE, 1, &nullv, &CoarseNullSpace));
9032: PetscCall(VecDestroy(&nullv));
9033: }
9034: }
9035: PetscCall(PetscLogEventEnd(PC_BDDC_CoarseSetUp[pcbddc->current_level], pc, 0, 0, 0));
9037: PetscCall(PetscLogEventBegin(PC_BDDC_CoarseSolver[pcbddc->current_level], pc, 0, 0, 0));
9038: if (pcbddc->coarse_ksp) {
9039: PetscBool ispreonly;
9041: if (CoarseNullSpace) {
9042: PetscBool isnull;
9044: PetscCall(MatNullSpaceTest(CoarseNullSpace, coarse_mat, &isnull));
9045: if (isnull) PetscCall(MatSetNullSpace(coarse_mat, CoarseNullSpace));
9046: /* TODO: add local nullspaces (if any) */
9047: }
9048: /* setup coarse ksp */
9049: PetscCall(KSPSetUp(pcbddc->coarse_ksp));
9050: /* Check coarse problem if in debug mode or if solving with an iterative method */
9051: PetscCall(PetscObjectTypeCompare((PetscObject)pcbddc->coarse_ksp, KSPPREONLY, &ispreonly));
9052: if (pcbddc->dbg_flag || (!ispreonly && pcbddc->use_coarse_estimates)) {
9053: KSP check_ksp;
9054: KSPType check_ksp_type;
9055: PC check_pc;
9056: Vec check_vec, coarse_vec;
9057: PetscReal abs_infty_error, infty_error, lambda_min = 1.0, lambda_max = 1.0;
9058: PetscInt its;
9059: PetscBool compute_eigs;
9060: PetscReal *eigs_r, *eigs_c;
9061: PetscInt neigs;
9062: const char *prefix;
9064: /* Create ksp object suitable for estimation of extreme eigenvalues */
9065: PetscCall(KSPCreate(PetscObjectComm((PetscObject)pcbddc->coarse_ksp), &check_ksp));
9066: PetscCall(KSPSetNestLevel(check_ksp, pc->kspnestlevel));
9067: PetscCall(PetscObjectIncrementTabLevel((PetscObject)check_ksp, (PetscObject)pcbddc->coarse_ksp, 0));
9068: PetscCall(KSPSetErrorIfNotConverged(pcbddc->coarse_ksp, PETSC_FALSE));
9069: PetscCall(KSPSetOperators(check_ksp, coarse_mat, coarse_mat));
9070: PetscCall(KSPSetTolerances(check_ksp, 1.e-12, 1.e-12, PETSC_CURRENT, pcbddc->coarse_size));
9071: /* prevent from setup unneeded object */
9072: PetscCall(KSPGetPC(check_ksp, &check_pc));
9073: PetscCall(PCSetType(check_pc, PCNONE));
9074: if (ispreonly) {
9075: check_ksp_type = KSPPREONLY;
9076: compute_eigs = PETSC_FALSE;
9077: } else {
9078: check_ksp_type = KSPGMRES;
9079: compute_eigs = PETSC_TRUE;
9080: }
9081: PetscCall(KSPSetType(check_ksp, check_ksp_type));
9082: PetscCall(KSPSetComputeSingularValues(check_ksp, compute_eigs));
9083: PetscCall(KSPSetComputeEigenvalues(check_ksp, compute_eigs));
9084: PetscCall(KSPGMRESSetRestart(check_ksp, pcbddc->coarse_size + 1));
9085: PetscCall(KSPGetOptionsPrefix(pcbddc->coarse_ksp, &prefix));
9086: PetscCall(KSPSetOptionsPrefix(check_ksp, prefix));
9087: PetscCall(KSPAppendOptionsPrefix(check_ksp, "check_"));
9088: PetscCall(KSPSetFromOptions(check_ksp));
9089: PetscCall(KSPSetUp(check_ksp));
9090: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &check_pc));
9091: PetscCall(KSPSetPC(check_ksp, check_pc));
9092: /* create random vec */
9093: PetscCall(MatCreateVecs(coarse_mat, &coarse_vec, &check_vec));
9094: PetscCall(VecSetRandom(check_vec, NULL));
9095: PetscCall(MatMult(coarse_mat, check_vec, coarse_vec));
9096: /* solve coarse problem */
9097: PetscCall(KSPSolve(check_ksp, coarse_vec, coarse_vec));
9098: PetscCall(KSPCheckSolve(check_ksp, pc, coarse_vec));
9099: /* set eigenvalue estimation if preonly has not been requested */
9100: if (compute_eigs) {
9101: PetscCall(PetscMalloc1(pcbddc->coarse_size + 1, &eigs_r));
9102: PetscCall(PetscMalloc1(pcbddc->coarse_size + 1, &eigs_c));
9103: PetscCall(KSPComputeEigenvalues(check_ksp, pcbddc->coarse_size + 1, eigs_r, eigs_c, &neigs));
9104: if (neigs) {
9105: lambda_max = eigs_r[neigs - 1];
9106: lambda_min = eigs_r[0];
9107: if (pcbddc->use_coarse_estimates) {
9108: if (lambda_max >= lambda_min) { /* using PETSC_SMALL since lambda_max == lambda_min is not allowed by KSPChebyshevSetEigenvalues */
9109: PetscCall(KSPChebyshevSetEigenvalues(pcbddc->coarse_ksp, lambda_max + PETSC_SMALL, lambda_min));
9110: PetscCall(KSPRichardsonSetScale(pcbddc->coarse_ksp, 2.0 / (lambda_max + lambda_min)));
9111: }
9112: }
9113: }
9114: }
9116: /* check coarse problem residual error */
9117: if (pcbddc->dbg_flag) {
9118: PetscViewer dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pcbddc->coarse_ksp));
9119: PetscCall(PetscViewerASCIIAddTab(dbg_viewer, 2 * (pcbddc->current_level + 1)));
9120: PetscCall(VecAXPY(check_vec, -1.0, coarse_vec));
9121: PetscCall(VecNorm(check_vec, NORM_INFINITY, &infty_error));
9122: PetscCall(MatMult(coarse_mat, check_vec, coarse_vec));
9123: PetscCall(VecNorm(coarse_vec, NORM_INFINITY, &abs_infty_error));
9124: PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem details (use estimates %d)\n", pcbddc->use_coarse_estimates));
9125: PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)pcbddc->coarse_ksp, dbg_viewer));
9126: PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)check_pc, dbg_viewer));
9127: PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem exact infty_error : %1.6e\n", (double)infty_error));
9128: PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem residual infty_error: %1.6e\n", (double)abs_infty_error));
9129: if (CoarseNullSpace) PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem is singular\n"));
9130: if (compute_eigs) {
9131: PetscReal lambda_max_s, lambda_min_s;
9132: KSPConvergedReason reason;
9133: PetscCall(KSPGetType(check_ksp, &check_ksp_type));
9134: PetscCall(KSPGetIterationNumber(check_ksp, &its));
9135: PetscCall(KSPGetConvergedReason(check_ksp, &reason));
9136: PetscCall(KSPComputeExtremeSingularValues(check_ksp, &lambda_max_s, &lambda_min_s));
9137: PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem eigenvalues (estimated with %" PetscInt_FMT " iterations of %s, conv reason %d): %1.6e %1.6e (%1.6e %1.6e)\n", its, check_ksp_type, reason, (double)lambda_min, (double)lambda_max, (double)lambda_min_s, (double)lambda_max_s));
9138: for (i = 0; i < neigs; i++) PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "%1.6e %1.6ei\n", (double)eigs_r[i], (double)eigs_c[i]));
9139: }
9140: PetscCall(PetscViewerFlush(dbg_viewer));
9141: PetscCall(PetscViewerASCIISubtractTab(dbg_viewer, 2 * (pcbddc->current_level + 1)));
9142: }
9143: PetscCall(VecDestroy(&check_vec));
9144: PetscCall(VecDestroy(&coarse_vec));
9145: PetscCall(KSPDestroy(&check_ksp));
9146: if (compute_eigs) {
9147: PetscCall(PetscFree(eigs_r));
9148: PetscCall(PetscFree(eigs_c));
9149: }
9150: }
9151: }
9152: PetscCall(MatNullSpaceDestroy(&CoarseNullSpace));
9153: /* print additional info */
9154: if (pcbddc->dbg_flag) {
9155: /* waits until all processes reaches this point */
9156: PetscCall(PetscBarrier((PetscObject)pc));
9157: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Coarse solver setup completed at level %" PetscInt_FMT "\n", pcbddc->current_level));
9158: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9159: }
9161: /* free memory */
9162: PetscCall(MatDestroy(&coarse_mat));
9163: PetscCall(PetscLogEventEnd(PC_BDDC_CoarseSolver[pcbddc->current_level], pc, 0, 0, 0));
9164: PetscFunctionReturn(PETSC_SUCCESS);
9165: }
9167: PetscErrorCode PCBDDCComputePrimalNumbering(PC pc, PetscInt *coarse_size_n, PetscInt **local_primal_indices_n)
9168: {
9169: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9170: PC_IS *pcis = (PC_IS *)pc->data;
9171: IS subset, subset_mult, subset_n;
9172: PetscInt local_size, coarse_size = 0;
9173: PetscInt *local_primal_indices = NULL;
9174: const PetscInt *t_local_primal_indices;
9176: PetscFunctionBegin;
9177: /* Compute global number of coarse dofs */
9178: PetscCheck(!pcbddc->local_primal_size || pcbddc->local_primal_ref_node, PETSC_COMM_SELF, PETSC_ERR_PLIB, "BDDC ConstraintsSetUp should be called first");
9179: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc->pmat), pcbddc->local_primal_size_cc, pcbddc->local_primal_ref_node, PETSC_COPY_VALUES, &subset_n));
9180: PetscCall(ISLocalToGlobalMappingApplyIS(pcis->mapping, subset_n, &subset));
9181: PetscCall(ISDestroy(&subset_n));
9182: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc->pmat), pcbddc->local_primal_size_cc, pcbddc->local_primal_ref_mult, PETSC_COPY_VALUES, &subset_mult));
9183: PetscCall(ISRenumber(subset, subset_mult, &coarse_size, &subset_n));
9184: PetscCall(ISDestroy(&subset));
9185: PetscCall(ISDestroy(&subset_mult));
9186: PetscCall(ISGetLocalSize(subset_n, &local_size));
9187: PetscCheck(local_size == pcbddc->local_primal_size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of local primal indices computed %" PetscInt_FMT " != %" PetscInt_FMT, local_size, pcbddc->local_primal_size);
9188: PetscCall(PetscMalloc1(local_size, &local_primal_indices));
9189: PetscCall(ISGetIndices(subset_n, &t_local_primal_indices));
9190: PetscCall(PetscArraycpy(local_primal_indices, t_local_primal_indices, local_size));
9191: PetscCall(ISRestoreIndices(subset_n, &t_local_primal_indices));
9192: PetscCall(ISDestroy(&subset_n));
9194: if (pcbddc->dbg_flag) {
9195: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9196: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
9197: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Size of coarse problem is %" PetscInt_FMT "\n", coarse_size));
9198: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9199: }
9201: /* get back data */
9202: *coarse_size_n = coarse_size;
9203: *local_primal_indices_n = local_primal_indices;
9204: PetscFunctionReturn(PETSC_SUCCESS);
9205: }
9207: PetscErrorCode PCBDDCGlobalToLocal(VecScatter g2l_ctx, Vec gwork, Vec lwork, IS globalis, IS *localis)
9208: {
9209: IS localis_t;
9210: PetscInt i, lsize, *idxs, n;
9211: PetscScalar *vals;
9213: PetscFunctionBegin;
9214: /* get indices in local ordering exploiting local to global map */
9215: PetscCall(ISGetLocalSize(globalis, &lsize));
9216: PetscCall(PetscMalloc1(lsize, &vals));
9217: for (i = 0; i < lsize; i++) vals[i] = 1.0;
9218: PetscCall(ISGetIndices(globalis, (const PetscInt **)&idxs));
9219: PetscCall(VecSet(gwork, 0.0));
9220: PetscCall(VecSet(lwork, 0.0));
9221: if (idxs) { /* multilevel guard */
9222: PetscCall(VecSetOption(gwork, VEC_IGNORE_NEGATIVE_INDICES, PETSC_TRUE));
9223: PetscCall(VecSetValues(gwork, lsize, idxs, vals, INSERT_VALUES));
9224: }
9225: PetscCall(VecAssemblyBegin(gwork));
9226: PetscCall(ISRestoreIndices(globalis, (const PetscInt **)&idxs));
9227: PetscCall(PetscFree(vals));
9228: PetscCall(VecAssemblyEnd(gwork));
9229: /* now compute set in local ordering */
9230: PetscCall(VecScatterBegin(g2l_ctx, gwork, lwork, INSERT_VALUES, SCATTER_FORWARD));
9231: PetscCall(VecScatterEnd(g2l_ctx, gwork, lwork, INSERT_VALUES, SCATTER_FORWARD));
9232: PetscCall(VecGetArrayRead(lwork, (const PetscScalar **)&vals));
9233: PetscCall(VecGetSize(lwork, &n));
9234: for (i = 0, lsize = 0; i < n; i++) {
9235: if (PetscRealPart(vals[i]) > 0.5) lsize++;
9236: }
9237: PetscCall(PetscMalloc1(lsize, &idxs));
9238: for (i = 0, lsize = 0; i < n; i++) {
9239: if (PetscRealPart(vals[i]) > 0.5) idxs[lsize++] = i;
9240: }
9241: PetscCall(VecRestoreArrayRead(lwork, (const PetscScalar **)&vals));
9242: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)gwork), lsize, idxs, PETSC_OWN_POINTER, &localis_t));
9243: *localis = localis_t;
9244: PetscFunctionReturn(PETSC_SUCCESS);
9245: }
9247: PetscErrorCode PCBDDCComputeFakeChange(PC pc, PetscBool constraints, PCBDDCGraph graph, PCBDDCSubSchurs schurs, Mat *change, IS *change_primal, IS *change_primal_mult, PetscBool *change_with_qr)
9248: {
9249: PC_IS *pcis = (PC_IS *)pc->data;
9250: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9251: PC_IS *pcisf;
9252: PC_BDDC *pcbddcf;
9253: PC pcf;
9255: PetscFunctionBegin;
9256: PetscCall(PCCreate(PetscObjectComm((PetscObject)pc), &pcf));
9257: PetscCall(PCSetOperators(pcf, pc->mat, pc->pmat));
9258: PetscCall(PCSetType(pcf, PCBDDC));
9260: pcisf = (PC_IS *)pcf->data;
9261: pcbddcf = (PC_BDDC *)pcf->data;
9263: pcisf->is_B_local = pcis->is_B_local;
9264: pcisf->vec1_N = pcis->vec1_N;
9265: pcisf->BtoNmap = pcis->BtoNmap;
9266: pcisf->n = pcis->n;
9267: pcisf->n_B = pcis->n_B;
9269: PetscCall(PetscFree(pcbddcf->mat_graph));
9270: PetscCall(PetscFree(pcbddcf->sub_schurs));
9271: pcbddcf->mat_graph = graph ? graph : pcbddc->mat_graph;
9272: pcbddcf->sub_schurs = schurs;
9273: pcbddcf->adaptive_selection = schurs ? PETSC_TRUE : PETSC_FALSE;
9274: pcbddcf->adaptive_threshold[0] = pcbddc->adaptive_threshold[0];
9275: pcbddcf->adaptive_threshold[1] = pcbddc->adaptive_threshold[1];
9276: pcbddcf->adaptive_nmin = pcbddc->adaptive_nmin;
9277: pcbddcf->adaptive_nmax = pcbddc->adaptive_nmax;
9278: pcbddcf->use_faces = PETSC_TRUE;
9279: pcbddcf->use_change_of_basis = (PetscBool)!constraints;
9280: pcbddcf->use_change_on_faces = (PetscBool)!constraints;
9281: pcbddcf->use_qr_single = (PetscBool)!constraints;
9282: pcbddcf->fake_change = PETSC_TRUE;
9283: pcbddcf->dbg_flag = pcbddc->dbg_flag;
9285: PetscCall(PCBDDCAdaptiveSelection(pcf));
9286: PetscCall(PCBDDCConstraintsSetUp(pcf));
9288: *change = pcbddcf->ConstraintMatrix;
9289: if (change_primal) PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc->pmat), pcbddcf->local_primal_size_cc, pcbddcf->local_primal_ref_node, PETSC_COPY_VALUES, change_primal));
9290: if (change_primal_mult) PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc->pmat), pcbddcf->local_primal_size_cc, pcbddcf->local_primal_ref_mult, PETSC_COPY_VALUES, change_primal_mult));
9291: if (change_with_qr) *change_with_qr = pcbddcf->use_qr_single;
9293: if (schurs) pcbddcf->sub_schurs = NULL;
9294: pcbddcf->ConstraintMatrix = NULL;
9295: pcbddcf->mat_graph = NULL;
9296: pcisf->is_B_local = NULL;
9297: pcisf->vec1_N = NULL;
9298: pcisf->BtoNmap = NULL;
9299: PetscCall(PCDestroy(&pcf));
9300: PetscFunctionReturn(PETSC_SUCCESS);
9301: }
9303: PetscErrorCode PCBDDCSetUpSubSchurs(PC pc)
9304: {
9305: PC_IS *pcis = (PC_IS *)pc->data;
9306: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9307: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
9308: Mat S_j;
9309: PetscInt *used_xadj, *used_adjncy;
9310: PetscBool free_used_adj;
9312: PetscFunctionBegin;
9313: PetscCall(PetscLogEventBegin(PC_BDDC_Schurs[pcbddc->current_level], pc, 0, 0, 0));
9314: /* decide the adjacency to be used for determining internal problems for local schur on subsets */
9315: free_used_adj = PETSC_FALSE;
9316: if (pcbddc->sub_schurs_layers == -1) {
9317: used_xadj = NULL;
9318: used_adjncy = NULL;
9319: } else {
9320: if (pcbddc->sub_schurs_use_useradj && pcbddc->mat_graph->xadj) {
9321: used_xadj = pcbddc->mat_graph->xadj;
9322: used_adjncy = pcbddc->mat_graph->adjncy;
9323: } else if (pcbddc->computed_rowadj) {
9324: used_xadj = pcbddc->mat_graph->xadj;
9325: used_adjncy = pcbddc->mat_graph->adjncy;
9326: } else {
9327: PetscBool flg_row = PETSC_FALSE;
9328: const PetscInt *xadj, *adjncy;
9329: PetscInt nvtxs;
9331: PetscCall(MatGetRowIJ(pcbddc->local_mat, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, &xadj, &adjncy, &flg_row));
9332: if (flg_row) {
9333: PetscCall(PetscMalloc2(nvtxs + 1, &used_xadj, xadj[nvtxs], &used_adjncy));
9334: PetscCall(PetscArraycpy(used_xadj, xadj, nvtxs + 1));
9335: PetscCall(PetscArraycpy(used_adjncy, adjncy, xadj[nvtxs]));
9336: free_used_adj = PETSC_TRUE;
9337: } else {
9338: pcbddc->sub_schurs_layers = -1;
9339: used_xadj = NULL;
9340: used_adjncy = NULL;
9341: }
9342: PetscCall(MatRestoreRowIJ(pcbddc->local_mat, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, &xadj, &adjncy, &flg_row));
9343: }
9344: }
9346: /* setup sub_schurs data */
9347: PetscCall(MatCreateSchurComplement(pcis->A_II, pcis->pA_II, pcis->A_IB, pcis->A_BI, pcis->A_BB, &S_j));
9348: if (!sub_schurs->schur_explicit) {
9349: /* pcbddc->ksp_D up to date only if not using MatFactor with Schur complement support */
9350: PetscCall(MatSchurComplementSetKSP(S_j, pcbddc->ksp_D));
9351: PetscCall(PCBDDCSubSchursSetUp(sub_schurs, NULL, S_j, PETSC_FALSE, used_xadj, used_adjncy, pcbddc->sub_schurs_layers, NULL, pcbddc->adaptive_selection, PETSC_FALSE, PETSC_FALSE, 0, NULL, NULL, NULL, NULL));
9352: } else {
9353: Mat change = NULL;
9354: Vec scaling = NULL;
9355: IS change_primal = NULL, iP;
9356: PetscInt benign_n;
9357: PetscBool reuse_solvers = (PetscBool)!pcbddc->use_change_of_basis;
9358: PetscBool need_change = PETSC_FALSE;
9359: PetscBool discrete_harmonic = PETSC_FALSE;
9361: if (!pcbddc->use_vertices && reuse_solvers) {
9362: PetscInt n_vertices;
9364: PetscCall(ISGetLocalSize(sub_schurs->is_vertices, &n_vertices));
9365: reuse_solvers = (PetscBool)!n_vertices;
9366: }
9367: if (!pcbddc->benign_change_explicit) {
9368: benign_n = pcbddc->benign_n;
9369: } else {
9370: benign_n = 0;
9371: }
9372: /* sub_schurs->change is a local object; instead, PCBDDCConstraintsSetUp and the quantities used in the test below are logically collective on pc.
9373: We need a global reduction to avoid possible deadlocks.
9374: We assume that sub_schurs->change is created once, and then reused for different solves, unless the topography has been recomputed */
9375: if (pcbddc->adaptive_userdefined || (pcbddc->deluxe_zerorows && !pcbddc->use_change_of_basis)) {
9376: PetscBool have_loc_change = (PetscBool)(!!sub_schurs->change);
9377: PetscCallMPI(MPIU_Allreduce(&have_loc_change, &need_change, 1, MPIU_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
9378: need_change = (PetscBool)(!need_change);
9379: }
9380: /* If the user defines additional constraints, we import them here */
9381: if (need_change) {
9382: PetscCheck(!pcbddc->sub_schurs_rebuild, PETSC_COMM_SELF, PETSC_ERR_SUP, "Cannot compute change of basis with a different graph");
9383: PetscCall(PCBDDCComputeFakeChange(pc, PETSC_FALSE, NULL, NULL, &change, &change_primal, NULL, &sub_schurs->change_with_qr));
9384: }
9385: if (!pcbddc->use_deluxe_scaling) scaling = pcis->D;
9387: PetscCall(PetscObjectQuery((PetscObject)pc, "__KSPFETIDP_iP", (PetscObject *)&iP));
9388: if (iP) {
9389: PetscOptionsBegin(PetscObjectComm((PetscObject)iP), sub_schurs->prefix, "BDDC sub_schurs options", "PC");
9390: PetscCall(PetscOptionsBool("-sub_schurs_discrete_harmonic", NULL, NULL, discrete_harmonic, &discrete_harmonic, NULL));
9391: PetscOptionsEnd();
9392: }
9393: if (discrete_harmonic) {
9394: Mat A;
9395: PetscCall(MatDuplicate(pcbddc->local_mat, MAT_COPY_VALUES, &A));
9396: PetscCall(MatZeroRowsColumnsIS(A, iP, 1.0, NULL, NULL));
9397: PetscCall(PetscObjectCompose((PetscObject)A, "__KSPFETIDP_iP", (PetscObject)iP));
9398: PetscCall(PCBDDCSubSchursSetUp(sub_schurs, A, S_j, pcbddc->sub_schurs_exact_schur, used_xadj, used_adjncy, pcbddc->sub_schurs_layers, scaling, pcbddc->adaptive_selection, reuse_solvers, pcbddc->benign_saddle_point, benign_n, pcbddc->benign_p0_lidx,
9399: pcbddc->benign_zerodiag_subs, change, change_primal));
9400: PetscCall(MatDestroy(&A));
9401: } else {
9402: PetscCall(PCBDDCSubSchursSetUp(sub_schurs, pcbddc->local_mat, S_j, pcbddc->sub_schurs_exact_schur, used_xadj, used_adjncy, pcbddc->sub_schurs_layers, scaling, pcbddc->adaptive_selection, reuse_solvers, pcbddc->benign_saddle_point, benign_n,
9403: pcbddc->benign_p0_lidx, pcbddc->benign_zerodiag_subs, change, change_primal));
9404: }
9405: PetscCall(MatDestroy(&change));
9406: PetscCall(ISDestroy(&change_primal));
9407: }
9408: PetscCall(MatDestroy(&S_j));
9410: /* free adjacency */
9411: if (free_used_adj) PetscCall(PetscFree2(used_xadj, used_adjncy));
9412: PetscCall(PetscLogEventEnd(PC_BDDC_Schurs[pcbddc->current_level], pc, 0, 0, 0));
9413: PetscFunctionReturn(PETSC_SUCCESS);
9414: }
9416: PetscErrorCode PCBDDCInitSubSchurs(PC pc)
9417: {
9418: PC_IS *pcis = (PC_IS *)pc->data;
9419: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9420: PCBDDCGraph graph;
9422: PetscFunctionBegin;
9423: /* attach interface graph for determining subsets */
9424: if (pcbddc->sub_schurs_rebuild) { /* in case rebuild has been requested, it uses a graph generated only by the neighbouring information */
9425: IS verticesIS, verticescomm;
9426: PetscInt vsize, *idxs;
9428: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &verticesIS));
9429: PetscCall(ISGetSize(verticesIS, &vsize));
9430: PetscCall(ISGetIndices(verticesIS, (const PetscInt **)&idxs));
9431: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), vsize, idxs, PETSC_COPY_VALUES, &verticescomm));
9432: PetscCall(ISRestoreIndices(verticesIS, (const PetscInt **)&idxs));
9433: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &verticesIS));
9434: PetscCall(PCBDDCGraphCreate(&graph));
9435: PetscCall(PCBDDCGraphInit(graph, pcbddc->mat_graph->l2gmap, pcbddc->mat_graph->nvtxs_global, pcbddc->graphmaxcount));
9436: PetscCall(PCBDDCGraphSetUp(graph, pcbddc->mat_graph->custom_minimal_size, NULL, pcbddc->DirichletBoundariesLocal, 0, NULL, verticescomm));
9437: PetscCall(ISDestroy(&verticescomm));
9438: PetscCall(PCBDDCGraphComputeConnectedComponents(graph));
9439: } else {
9440: graph = pcbddc->mat_graph;
9441: }
9442: /* print some info */
9443: if (pcbddc->dbg_flag && !pcbddc->sub_schurs_rebuild) {
9444: IS vertices;
9445: PetscInt nv, nedges, nfaces;
9446: PetscCall(PCBDDCGraphASCIIView(graph, pcbddc->dbg_flag, pcbddc->dbg_viewer));
9447: PetscCall(PCBDDCGraphGetCandidatesIS(graph, &nfaces, NULL, &nedges, NULL, &vertices));
9448: PetscCall(ISGetSize(vertices, &nv));
9449: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
9450: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "--------------------------------------------------------------\n"));
9451: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate vertices (%d)\n", PetscGlobalRank, nv, pcbddc->use_vertices));
9452: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate edges (%d)\n", PetscGlobalRank, nedges, pcbddc->use_edges));
9453: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate faces (%d)\n", PetscGlobalRank, nfaces, pcbddc->use_faces));
9454: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9455: PetscCall(PetscViewerASCIIPopSynchronized(pcbddc->dbg_viewer));
9456: PetscCall(PCBDDCGraphRestoreCandidatesIS(graph, &nfaces, NULL, &nedges, NULL, &vertices));
9457: }
9459: /* sub_schurs init */
9460: if (!pcbddc->sub_schurs) PetscCall(PCBDDCSubSchursCreate(&pcbddc->sub_schurs));
9461: PetscCall(PCBDDCSubSchursInit(pcbddc->sub_schurs, ((PetscObject)pc)->prefix, pcis->is_I_local, pcis->is_B_local, graph, pcis->BtoNmap, pcbddc->sub_schurs_rebuild, PETSC_FALSE));
9463: /* free graph struct */
9464: if (pcbddc->sub_schurs_rebuild) PetscCall(PCBDDCGraphDestroy(&graph));
9465: PetscFunctionReturn(PETSC_SUCCESS);
9466: }
9468: static PetscErrorCode PCBDDCViewGlobalIS(PC pc, IS is, PetscViewer viewer)
9469: {
9470: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
9471: PetscInt n = pc->pmat->rmap->n, ln, ni, st;
9472: const PetscInt *idxs;
9473: IS gis;
9475: PetscFunctionBegin;
9476: if (!is) PetscFunctionReturn(PETSC_SUCCESS);
9477: PetscCall(MatGetOwnershipRange(pc->pmat, &st, NULL));
9478: PetscCall(MatGetLocalSize(matis->A, NULL, &ln));
9479: PetscCall(PetscArrayzero(matis->sf_leafdata, ln));
9480: PetscCall(PetscArrayzero(matis->sf_rootdata, n));
9481: PetscCall(ISGetLocalSize(is, &ni));
9482: PetscCall(ISGetIndices(is, &idxs));
9483: for (PetscInt i = 0; i < ni; i++) {
9484: if (idxs[i] < 0 || idxs[i] >= ln) continue;
9485: matis->sf_leafdata[idxs[i]] = 1;
9486: }
9487: PetscCall(ISRestoreIndices(is, &idxs));
9488: PetscCall(PetscSFReduceBegin(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, MPI_SUM));
9489: PetscCall(PetscSFReduceEnd(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, MPI_SUM));
9490: ln = 0;
9491: for (PetscInt i = 0; i < n; i++) {
9492: if (matis->sf_rootdata[i]) matis->sf_rootdata[ln++] = i + st;
9493: }
9494: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), ln, matis->sf_rootdata, PETSC_USE_POINTER, &gis));
9495: PetscCall(ISView(gis, viewer));
9496: PetscCall(ISDestroy(&gis));
9497: PetscFunctionReturn(PETSC_SUCCESS);
9498: }
9500: PetscErrorCode PCBDDCLoadOrViewCustomization(PC pc, PetscBool load, const char *outfile)
9501: {
9502: PetscInt header[11];
9503: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9504: PetscViewer viewer;
9505: MPI_Comm comm = PetscObjectComm((PetscObject)pc);
9507: PetscFunctionBegin;
9508: PetscCall(PetscViewerBinaryOpen(comm, outfile ? outfile : "bddc_dump.dat", load ? FILE_MODE_READ : FILE_MODE_WRITE, &viewer));
9509: if (load) {
9510: IS is;
9511: Mat A;
9513: PetscCall(PetscViewerBinaryRead(viewer, header, PETSC_STATIC_ARRAY_LENGTH(header), NULL, PETSC_INT));
9514: PetscCheck(header[0] == 0 || header[0] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9515: PetscCheck(header[1] == 0 || header[1] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9516: PetscCheck(header[2] >= 0, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9517: PetscCheck(header[3] == 0 || header[3] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9518: PetscCheck(header[4] == 0 || header[4] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9519: PetscCheck(header[5] >= 0, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9520: PetscCheck(header[7] == 0 || header[7] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9521: PetscCheck(header[8] == 0 || header[8] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9522: PetscCheck(header[9] == 0 || header[9] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9523: PetscCheck(header[10] == 0 || header[10] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9524: if (header[0]) {
9525: PetscCall(ISCreate(comm, &is));
9526: PetscCall(ISLoad(is, viewer));
9527: PetscCall(PCBDDCSetDirichletBoundaries(pc, is));
9528: PetscCall(ISDestroy(&is));
9529: }
9530: if (header[1]) {
9531: PetscCall(ISCreate(comm, &is));
9532: PetscCall(ISLoad(is, viewer));
9533: PetscCall(PCBDDCSetNeumannBoundaries(pc, is));
9534: PetscCall(ISDestroy(&is));
9535: }
9536: if (header[2]) {
9537: IS *isarray;
9539: PetscCall(PetscMalloc1(header[2], &isarray));
9540: for (PetscInt i = 0; i < header[2]; i++) {
9541: PetscCall(ISCreate(comm, &isarray[i]));
9542: PetscCall(ISLoad(isarray[i], viewer));
9543: }
9544: PetscCall(PCBDDCSetDofsSplitting(pc, header[2], isarray));
9545: for (PetscInt i = 0; i < header[2]; i++) PetscCall(ISDestroy(&isarray[i]));
9546: PetscCall(PetscFree(isarray));
9547: }
9548: if (header[3]) {
9549: PetscCall(ISCreate(comm, &is));
9550: PetscCall(ISLoad(is, viewer));
9551: PetscCall(PCBDDCSetPrimalVerticesIS(pc, is));
9552: PetscCall(ISDestroy(&is));
9553: }
9554: if (header[4]) {
9555: PetscCall(MatCreate(comm, &A));
9556: PetscCall(MatSetType(A, MATAIJ));
9557: PetscCall(MatLoad(A, viewer));
9558: PetscCall(PCBDDCSetDiscreteGradient(pc, A, header[5], header[6], (PetscBool)header[7], (PetscBool)header[8]));
9559: PetscCall(MatDestroy(&A));
9560: }
9561: if (header[9]) {
9562: PetscCall(MatCreate(comm, &A));
9563: PetscCall(MatSetType(A, MATIS));
9564: PetscCall(MatLoad(A, viewer));
9565: PetscCall(PCBDDCSetDivergenceMat(pc, A, (PetscBool)header[10], NULL));
9566: PetscCall(MatDestroy(&A));
9567: }
9568: } else {
9569: header[0] = (PetscInt)!!pcbddc->DirichletBoundariesLocal;
9570: header[1] = (PetscInt)!!pcbddc->NeumannBoundariesLocal;
9571: header[2] = pcbddc->n_ISForDofsLocal;
9572: header[3] = (PetscInt)!!pcbddc->user_primal_vertices_local;
9573: header[4] = (PetscInt)!!pcbddc->discretegradient;
9574: header[5] = pcbddc->nedorder;
9575: header[6] = pcbddc->nedfield;
9576: header[7] = (PetscInt)pcbddc->nedglobal;
9577: header[8] = (PetscInt)pcbddc->conforming;
9578: header[9] = (PetscInt)!!pcbddc->divudotp;
9579: header[10] = (PetscInt)pcbddc->divudotp_trans;
9580: if (header[4]) header[3] = 0;
9582: PetscCall(PetscViewerBinaryWrite(viewer, header, PETSC_STATIC_ARRAY_LENGTH(header), PETSC_INT));
9583: PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->DirichletBoundariesLocal, viewer));
9584: PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->NeumannBoundariesLocal, viewer));
9585: for (PetscInt i = 0; i < header[2]; i++) PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->ISForDofsLocal[i], viewer));
9586: if (header[3]) PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->user_primal_vertices_local, viewer));
9587: if (header[4]) PetscCall(MatView(pcbddc->discretegradient, viewer));
9588: if (header[9]) PetscCall(MatView(pcbddc->divudotp, viewer));
9589: }
9590: PetscCall(PetscViewerDestroy(&viewer));
9591: PetscFunctionReturn(PETSC_SUCCESS);
9592: }
9594: #include <../src/mat/impls/aij/mpi/mpiaij.h>
9595: static PetscErrorCode MatMPIAIJRestrict(Mat A, MPI_Comm ccomm, Mat *B)
9596: {
9597: Mat At;
9598: IS rows;
9599: PetscInt rst, ren;
9600: PetscLayout rmap;
9602: PetscFunctionBegin;
9603: rst = ren = 0;
9604: if (ccomm != MPI_COMM_NULL) {
9605: PetscCall(PetscLayoutCreate(ccomm, &rmap));
9606: PetscCall(PetscLayoutSetSize(rmap, A->rmap->N));
9607: PetscCall(PetscLayoutSetBlockSize(rmap, 1));
9608: PetscCall(PetscLayoutSetUp(rmap));
9609: PetscCall(PetscLayoutGetRange(rmap, &rst, &ren));
9610: }
9611: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)A), ren - rst, rst, 1, &rows));
9612: PetscCall(MatCreateSubMatrix(A, rows, NULL, MAT_INITIAL_MATRIX, &At));
9613: PetscCall(ISDestroy(&rows));
9615: if (ccomm != MPI_COMM_NULL) {
9616: Mat_MPIAIJ *a, *b;
9617: IS from, to;
9618: Vec gvec;
9619: PetscInt lsize;
9621: PetscCall(MatCreate(ccomm, B));
9622: PetscCall(MatSetSizes(*B, ren - rst, PETSC_DECIDE, PETSC_DECIDE, At->cmap->N));
9623: PetscCall(MatSetType(*B, MATAIJ));
9624: PetscCall(PetscLayoutDestroy(&(*B)->rmap));
9625: PetscCall(PetscLayoutSetUp((*B)->cmap));
9626: a = (Mat_MPIAIJ *)At->data;
9627: b = (Mat_MPIAIJ *)(*B)->data;
9628: PetscCallMPI(MPI_Comm_size(ccomm, &b->size));
9629: PetscCallMPI(MPI_Comm_rank(ccomm, &b->rank));
9630: PetscCall(PetscObjectReference((PetscObject)a->A));
9631: PetscCall(PetscObjectReference((PetscObject)a->B));
9632: b->A = a->A;
9633: b->B = a->B;
9635: b->donotstash = a->donotstash;
9636: b->roworiented = a->roworiented;
9637: b->rowindices = NULL;
9638: b->rowvalues = NULL;
9639: b->getrowactive = PETSC_FALSE;
9641: (*B)->rmap = rmap;
9642: (*B)->factortype = A->factortype;
9643: (*B)->assembled = PETSC_TRUE;
9644: (*B)->insertmode = NOT_SET_VALUES;
9645: (*B)->preallocated = PETSC_TRUE;
9647: if (a->colmap) {
9648: #if defined(PETSC_USE_CTABLE)
9649: PetscCall(PetscHMapIDuplicate(a->colmap, &b->colmap));
9650: #else
9651: PetscCall(PetscMalloc1(At->cmap->N, &b->colmap));
9652: PetscCall(PetscArraycpy(b->colmap, a->colmap, At->cmap->N));
9653: #endif
9654: } else b->colmap = NULL;
9655: if (a->garray) {
9656: PetscInt len;
9657: len = a->B->cmap->n;
9658: PetscCall(PetscMalloc1(len + 1, &b->garray));
9659: if (len) PetscCall(PetscArraycpy(b->garray, a->garray, len));
9660: } else b->garray = NULL;
9662: PetscCall(PetscObjectReference((PetscObject)a->lvec));
9663: b->lvec = a->lvec;
9665: /* cannot use VecScatterCopy */
9666: PetscCall(VecGetLocalSize(b->lvec, &lsize));
9667: PetscCall(ISCreateGeneral(ccomm, lsize, b->garray, PETSC_USE_POINTER, &from));
9668: PetscCall(ISCreateStride(PETSC_COMM_SELF, lsize, 0, 1, &to));
9669: PetscCall(MatCreateVecs(*B, &gvec, NULL));
9670: PetscCall(VecScatterCreate(gvec, from, b->lvec, to, &b->Mvctx));
9671: PetscCall(ISDestroy(&from));
9672: PetscCall(ISDestroy(&to));
9673: PetscCall(VecDestroy(&gvec));
9674: }
9675: PetscCall(MatDestroy(&At));
9676: PetscFunctionReturn(PETSC_SUCCESS);
9677: }
9679: /* same as MatCreateSubMatrix(A, rows, NULL,...) but allows repeated rows */
9680: static PetscErrorCode MatAIJExtractRows(Mat A, IS rows, Mat *sA)
9681: {
9682: PetscBool isaij;
9683: MPI_Comm comm;
9685: PetscFunctionBegin;
9686: PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
9687: PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)A, &isaij, MATSEQAIJ, MATMPIAIJ, ""));
9688: PetscCheck(isaij, comm, PETSC_ERR_SUP, "Not implemented");
9689: PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATSEQAIJ, &isaij));
9690: if (isaij) { /* SeqAIJ supports repeated rows */
9691: PetscCall(MatCreateSubMatrix(A, rows, NULL, MAT_INITIAL_MATRIX, sA));
9692: } else {
9693: Mat A_loc;
9694: Mat_SeqAIJ *da;
9695: PetscSF sf;
9696: PetscInt ni, *di, *dj, m = A->rmap->n, c, *ldata, *rdata;
9697: PetscScalar *daa;
9698: const PetscInt *idxs;
9699: const PetscSFNode *iremotes;
9700: PetscSFNode *remotes;
9702: /* SF for incoming rows */
9703: PetscCall(PetscSFCreate(comm, &sf));
9704: PetscCall(ISGetLocalSize(rows, &ni));
9705: PetscCall(ISGetIndices(rows, &idxs));
9706: PetscCall(PetscSFSetGraphLayout(sf, A->rmap, ni, NULL, PETSC_USE_POINTER, idxs));
9707: PetscCall(ISRestoreIndices(rows, &idxs));
9709: PetscCall(MatMPIAIJGetLocalMat(A, MAT_INITIAL_MATRIX, &A_loc));
9710: da = (Mat_SeqAIJ *)A_loc->data;
9711: PetscCall(PetscMalloc2(2 * ni, &ldata, 2 * m, &rdata));
9712: for (PetscInt i = 0; i < m; i++) {
9713: rdata[2 * i + 0] = da->i[i + 1] - da->i[i];
9714: rdata[2 * i + 1] = da->i[i];
9715: }
9716: PetscCall(PetscSFBcastBegin(sf, MPIU_2INT, rdata, ldata, MPI_REPLACE));
9717: PetscCall(PetscSFBcastEnd(sf, MPIU_2INT, rdata, ldata, MPI_REPLACE));
9718: PetscCall(PetscMalloc1(ni + 1, &di));
9719: di[0] = 0;
9720: for (PetscInt i = 0; i < ni; i++) di[i + 1] = di[i] + ldata[2 * i + 0];
9721: PetscCall(PetscMalloc1(di[ni], &dj));
9722: PetscCall(PetscMalloc1(di[ni], &daa));
9723: PetscCall(PetscMalloc1(di[ni], &remotes));
9725: PetscCall(PetscSFGetGraph(sf, NULL, NULL, NULL, &iremotes));
9727: /* SF graph for nonzeros */
9728: c = 0;
9729: for (PetscInt i = 0; i < ni; i++) {
9730: const PetscInt rank = iremotes[i].rank;
9731: const PetscInt rsize = ldata[2 * i];
9732: for (PetscInt j = 0; j < rsize; j++) {
9733: remotes[c].rank = rank;
9734: remotes[c].index = ldata[2 * i + 1] + j;
9735: c++;
9736: }
9737: }
9738: PetscCheck(c == di[ni], PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of local nonzeros %" PetscInt_FMT " != %" PetscInt_FMT, c, di[ni]);
9739: PetscCall(PetscSFSetGraph(sf, da->i[m], di[ni], NULL, PETSC_USE_POINTER, remotes, PETSC_USE_POINTER));
9740: PetscCall(PetscSFBcastBegin(sf, MPIU_INT, da->j, dj, MPI_REPLACE));
9741: PetscCall(PetscSFBcastEnd(sf, MPIU_INT, da->j, dj, MPI_REPLACE));
9742: PetscCall(PetscSFBcastBegin(sf, MPIU_SCALAR, da->a, daa, MPI_REPLACE));
9743: PetscCall(PetscSFBcastEnd(sf, MPIU_SCALAR, da->a, daa, MPI_REPLACE));
9745: PetscCall(MatCreateMPIAIJWithArrays(comm, ni, A->cmap->n, PETSC_DECIDE, A->cmap->N, di, dj, daa, sA));
9746: PetscCall(MatDestroy(&A_loc));
9747: PetscCall(PetscSFDestroy(&sf));
9748: PetscCall(PetscFree(di));
9749: PetscCall(PetscFree(dj));
9750: PetscCall(PetscFree(daa));
9751: PetscCall(PetscFree(remotes));
9752: PetscCall(PetscFree2(ldata, rdata));
9753: }
9754: PetscFunctionReturn(PETSC_SUCCESS);
9755: }