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, MPI_C_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, MPI_C_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 (no preallocation) */
1330: PetscCall(MatCreate(comm, &T));
1331: PetscCall(MatSetLayouts(T, pc->mat->rmap, pc->mat->cmap));
1332: PetscCall(MatSetType(T, MATAIJ));
1333: PetscCall(MatSetLocalToGlobalMapping(T, al2g, al2g));
1334: PetscCall(MatSetOption(T, MAT_ROW_ORIENTED, PETSC_FALSE));
1335: PetscCall(MatSetOption(T, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE));
1336: //PetscCall(MatSeqAIJSetPreallocation(T, maxsize, NULL));
1337: //PetscCall(MatMPIAIJSetPreallocation(T, maxsize, NULL, maxsize, NULL));
1338: //PetscCall(MatSetOption(T, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));
1340: /* Defaults to identity */
1341: {
1342: Vec w;
1343: const PetscScalar *wa;
1345: PetscCall(MatCreateVecs(T, &w, NULL));
1346: PetscCall(VecSetLocalToGlobalMapping(w, al2g));
1347: PetscCall(VecSet(w, 1.0));
1348: for (i = 0; i < nee; i++) {
1349: const PetscInt *idxs;
1350: PetscInt nl;
1352: PetscCall(ISGetLocalSize(eedges[i], &nl));
1353: PetscCall(ISGetIndices(eedges[i], &idxs));
1354: PetscCall(VecSetValuesLocal(w, nl, idxs, NULL, INSERT_VALUES));
1355: PetscCall(ISRestoreIndices(eedges[i], &idxs));
1356: }
1357: PetscCall(VecAssemblyBegin(w));
1358: PetscCall(VecAssemblyEnd(w));
1359: PetscCall(VecGetArrayRead(w, &wa));
1360: for (i = T->rmap->rstart; i < T->rmap->rend; i++)
1361: if (PetscAbsScalar(wa[i - T->rmap->rstart])) PetscCall(MatSetValue(T, i, i, 1.0, INSERT_VALUES));
1362: PetscCall(VecRestoreArrayRead(w, &wa));
1363: PetscCall(VecDestroy(&w));
1364: }
1366: /* Create discrete gradient for the coarser level if needed */
1367: PetscCall(MatDestroy(&pcbddc->nedcG));
1368: PetscCall(ISDestroy(&pcbddc->nedclocal));
1369: if (pcbddc->current_level < pcbddc->max_levels) {
1370: ISLocalToGlobalMapping cel2g, cvl2g;
1371: IS wis, gwis;
1372: PetscInt cnv, cne;
1374: PetscCall(ISCreateGeneral(comm, nee, cedges, PETSC_COPY_VALUES, &wis));
1375: if (fl2g) {
1376: PetscCall(ISLocalToGlobalMappingApplyIS(fl2g, wis, &pcbddc->nedclocal));
1377: } else {
1378: PetscCall(PetscObjectReference((PetscObject)wis));
1379: pcbddc->nedclocal = wis;
1380: }
1381: PetscCall(ISLocalToGlobalMappingApplyIS(el2g, wis, &gwis));
1382: PetscCall(ISDestroy(&wis));
1383: PetscCall(ISRenumber(gwis, NULL, &cne, &wis));
1384: PetscCall(ISLocalToGlobalMappingCreateIS(wis, &cel2g));
1385: PetscCall(ISDestroy(&wis));
1386: PetscCall(ISDestroy(&gwis));
1388: PetscCall(ISCreateGeneral(comm, 2 * nee, corners, PETSC_USE_POINTER, &wis));
1389: PetscCall(ISLocalToGlobalMappingApplyIS(vl2g, wis, &gwis));
1390: PetscCall(ISDestroy(&wis));
1391: PetscCall(ISRenumber(gwis, NULL, &cnv, &wis));
1392: PetscCall(ISLocalToGlobalMappingCreateIS(wis, &cvl2g));
1393: PetscCall(ISDestroy(&wis));
1394: PetscCall(ISDestroy(&gwis));
1396: PetscCall(MatCreate(comm, &pcbddc->nedcG));
1397: PetscCall(MatSetSizes(pcbddc->nedcG, PETSC_DECIDE, PETSC_DECIDE, cne, cnv));
1398: PetscCall(MatSetType(pcbddc->nedcG, MATAIJ));
1399: PetscCall(MatSeqAIJSetPreallocation(pcbddc->nedcG, 2, NULL));
1400: PetscCall(MatMPIAIJSetPreallocation(pcbddc->nedcG, 2, NULL, 2, NULL));
1401: PetscCall(MatSetLocalToGlobalMapping(pcbddc->nedcG, cel2g, cvl2g));
1402: PetscCall(ISLocalToGlobalMappingDestroy(&cel2g));
1403: PetscCall(ISLocalToGlobalMappingDestroy(&cvl2g));
1404: }
1406: MatNullSpace nnsp;
1407: PetscBool nnsp_has_const = PETSC_FALSE;
1408: const Vec *nnsp_vecs = NULL;
1409: PetscInt nnsp_nvecs = 0;
1410: VecScatter nnsp_vscat = NULL;
1411: PetscCall(MatGetNullSpace(pcbddc->discretegradient, &nnsp));
1412: if (nnsp) PetscCall(MatNullSpaceGetVecs(nnsp, &nnsp_has_const, &nnsp_nvecs, &nnsp_vecs));
1413: if (nnsp_has_const || nnsp_nvecs) { /* create scatter to import edge constraints */
1414: IS allextcols, gallextcols, galleedges, is_E_to_zero;
1415: Vec E, V;
1416: PetscInt *eedgesidxs;
1417: const PetscScalar *evals;
1419: PetscCall(MatCreateVecs(pc->pmat, &E, NULL));
1420: PetscCall(MatCreateVecs(pcbddc->discretegradient, &V, NULL));
1421: PetscCall(ISConcatenate(PETSC_COMM_SELF, nee, extcols, &allextcols));
1422: cum = 0;
1423: for (i = 0; i < nee; i++) {
1424: PetscInt j;
1426: PetscCall(ISGetLocalSize(eedges[i], &j));
1427: PetscCheck(j, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Zero sized edge %" PetscInt_FMT, i);
1428: cum += j - 1;
1429: }
1430: PetscCall(PetscMalloc1(PetscMax(cum, pc->pmat->rmap->n), &eedgesidxs));
1431: cum = 0;
1432: for (i = 0; i < nee; i++) {
1433: const PetscInt *idxs;
1434: PetscInt j;
1436: PetscCall(ISGetLocalSize(eedges[i], &j));
1437: PetscCall(ISGetIndices(eedges[i], &idxs));
1438: PetscCall(PetscArraycpy(eedgesidxs + cum, idxs, j - 1)); /* last on the edge is primal */
1439: PetscCall(ISRestoreIndices(eedges[i], &idxs));
1440: cum += j - 1;
1441: }
1442: PetscCall(ISLocalToGlobalMappingApply(al2g, cum, eedgesidxs, eedgesidxs));
1443: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, cum, eedgesidxs, PETSC_USE_POINTER, &galleedges));
1444: PetscCall(ISLocalToGlobalMappingApplyIS(vl2g, allextcols, &gallextcols));
1445: PetscCall(VecScatterCreate(V, gallextcols, E, galleedges, &nnsp_vscat));
1446: PetscCall(ISDestroy(&allextcols));
1447: PetscCall(ISDestroy(&gallextcols));
1448: PetscCall(ISDestroy(&galleedges));
1450: /* identify dofs we must zero if importing user-defined near nullspace from pmat */
1451: PetscCall(VecSet(E, 1.0));
1452: PetscCall(VecSetValues(E, cum, eedgesidxs, NULL, INSERT_VALUES));
1453: PetscCall(VecAssemblyBegin(E));
1454: PetscCall(VecAssemblyEnd(E));
1455: PetscCall(VecGetArrayRead(E, &evals));
1456: for (i = 0, cum = 0; i < pc->pmat->rmap->n; i++)
1457: if (evals[i] == 0.0) eedgesidxs[cum++] = i + pc->pmat->rmap->rstart;
1458: PetscCall(VecRestoreArrayRead(E, &evals));
1459: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, cum, eedgesidxs, PETSC_COPY_VALUES, &is_E_to_zero));
1460: PetscCall(PetscFree(eedgesidxs));
1462: PetscCall(PetscObjectCompose((PetscObject)nnsp_vscat, "__V_Vec", (PetscObject)V));
1463: PetscCall(PetscObjectCompose((PetscObject)nnsp_vscat, "__E_Vec", (PetscObject)E));
1464: PetscCall(PetscObjectCompose((PetscObject)nnsp_vscat, "__E_zero", (PetscObject)is_E_to_zero));
1465: PetscCall(ISDestroy(&is_E_to_zero));
1466: PetscCall(VecDestroy(&V));
1467: PetscCall(VecDestroy(&E));
1468: }
1469: #if defined(PRINT_GDET)
1470: inc = 0;
1471: lev = pcbddc->current_level;
1472: #endif
1474: /* Insert values in the change of basis matrix */
1475: for (i = 0; i < nee; i++) {
1476: Mat Gins = NULL, GKins = NULL;
1477: IS cornersis = NULL;
1478: PetscScalar cvals[2];
1480: if (pcbddc->nedcG) PetscCall(ISCreateGeneral(PETSC_COMM_SELF, 2, corners + 2 * i, PETSC_USE_POINTER, &cornersis));
1481: PetscCall(PCBDDCComputeNedelecChangeEdge(lG, eedges[i], extrows[i], extcols[i], cornersis, &Gins, &GKins, cvals, work, rwork));
1482: if (Gins && GKins) {
1483: const PetscScalar *data;
1484: const PetscInt *rows, *cols;
1485: PetscInt nrh, nch, nrc, ncc;
1487: PetscCall(ISGetIndices(eedges[i], &cols));
1488: /* H1 */
1489: PetscCall(ISGetIndices(extrows[i], &rows));
1490: PetscCall(MatGetSize(Gins, &nrh, &nch));
1491: PetscCall(MatDenseGetArrayRead(Gins, &data));
1492: PetscCall(MatSetValuesLocal(T, nrh, rows, nch, cols, data, INSERT_VALUES));
1493: PetscCall(MatDenseRestoreArrayRead(Gins, &data));
1494: PetscCall(ISRestoreIndices(extrows[i], &rows));
1495: /* complement */
1496: PetscCall(MatGetSize(GKins, &nrc, &ncc));
1497: PetscCheck(ncc, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Constant function has not been generated for coarse edge %" PetscInt_FMT, i);
1498: 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);
1499: 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);
1500: PetscCall(MatDenseGetArrayRead(GKins, &data));
1501: PetscCall(MatSetValuesLocal(T, nrc, cols, ncc, cols + nch, data, INSERT_VALUES));
1502: PetscCall(MatDenseRestoreArrayRead(GKins, &data));
1504: /* coarse discrete gradient */
1505: if (pcbddc->nedcG) {
1506: PetscInt cols[2];
1508: cols[0] = 2 * i;
1509: cols[1] = 2 * i + 1;
1510: PetscCall(MatSetValuesLocal(pcbddc->nedcG, 1, &i, 2, cols, cvals, INSERT_VALUES));
1511: }
1512: PetscCall(ISRestoreIndices(eedges[i], &cols));
1513: }
1514: PetscCall(ISDestroy(&extrows[i]));
1515: PetscCall(ISDestroy(&extcols[i]));
1516: PetscCall(ISDestroy(&cornersis));
1517: PetscCall(MatDestroy(&Gins));
1518: PetscCall(MatDestroy(&GKins));
1519: }
1521: /* import edge constraints */
1522: if (nnsp_vscat) {
1523: Vec V, E, *quadvecs;
1524: PetscInt nvecs, nvecs_orth;
1525: MatNullSpace onnsp = NULL;
1526: PetscBool onnsp_has_const = PETSC_FALSE;
1527: const Vec *onnsp_vecs = NULL;
1528: PetscInt onnsp_nvecs = 0, new_nnsp_nvecs, old_nnsp_nvecs;
1529: IS is_E_to_zero;
1531: /* import nearnullspace from preconditioning matrix if user-defined */
1532: PetscCall(MatGetNearNullSpace(pc->pmat, &onnsp));
1533: if (onnsp) {
1534: PetscBool isinternal;
1536: PetscCall(PetscStrcmp("_internal_BDDC_nedelec_nnsp", ((PetscObject)onnsp)->name, &isinternal));
1537: if (!isinternal) PetscCall(MatNullSpaceGetVecs(onnsp, &onnsp_has_const, &onnsp_nvecs, &onnsp_vecs));
1538: }
1539: new_nnsp_nvecs = nnsp_nvecs + (nnsp_has_const ? 1 : 0);
1540: old_nnsp_nvecs = onnsp_nvecs + (onnsp_has_const ? 1 : 0);
1541: nvecs = old_nnsp_nvecs + new_nnsp_nvecs;
1542: PetscCall(PetscMalloc1(nvecs, &quadvecs));
1544: PetscCall(PetscObjectQuery((PetscObject)nnsp_vscat, "__V_Vec", (PetscObject *)&V));
1545: PetscCall(PetscObjectQuery((PetscObject)nnsp_vscat, "__E_Vec", (PetscObject *)&E));
1546: PetscCall(PetscObjectQuery((PetscObject)nnsp_vscat, "__E_zero", (PetscObject *)&is_E_to_zero));
1547: for (i = 0; i < nvecs; i++) PetscCall(VecDuplicate(E, &quadvecs[i]));
1548: cum = 0;
1549: if (nnsp_has_const) {
1550: PetscCall(VecSet(V, 1.0));
1551: PetscCall(VecScatterBegin(nnsp_vscat, V, quadvecs[0], INSERT_VALUES, SCATTER_FORWARD));
1552: PetscCall(VecScatterEnd(nnsp_vscat, V, quadvecs[0], INSERT_VALUES, SCATTER_FORWARD));
1553: cum = 1;
1554: }
1555: for (i = 0; i < nnsp_nvecs; i++) {
1556: PetscCall(VecScatterBegin(nnsp_vscat, nnsp_vecs[i], quadvecs[i + cum], INSERT_VALUES, SCATTER_FORWARD));
1557: PetscCall(VecScatterEnd(nnsp_vscat, nnsp_vecs[i], quadvecs[i + cum], INSERT_VALUES, SCATTER_FORWARD));
1558: }
1560: /* Now add old nnsp if present */
1561: cum = 0;
1562: if (onnsp_has_const) {
1563: PetscCall(VecSet(quadvecs[new_nnsp_nvecs], 1.0));
1564: PetscCall(VecISSet(quadvecs[new_nnsp_nvecs], is_E_to_zero, 0));
1565: cum = 1;
1566: }
1567: for (i = 0; i < onnsp_nvecs; i++) {
1568: PetscCall(VecCopy(onnsp_vecs[i], quadvecs[i + cum + new_nnsp_nvecs]));
1569: PetscCall(VecISSet(quadvecs[i + cum + new_nnsp_nvecs], is_E_to_zero, 0));
1570: }
1571: nvecs_orth = nvecs;
1572: PetscCall(PCBDDCOrthonormalizeVecs(&nvecs_orth, quadvecs));
1573: PetscCall(MatNullSpaceCreate(PetscObjectComm((PetscObject)pc), PETSC_FALSE, nvecs_orth, quadvecs, &nnsp));
1574: for (i = 0; i < nvecs; i++) PetscCall(VecDestroy(&quadvecs[i]));
1575: PetscCall(PetscFree(quadvecs));
1576: PetscCall(PetscObjectSetName((PetscObject)nnsp, "_internal_BDDC_nedelec_nnsp"));
1577: PetscCall(MatSetNearNullSpace(pc->pmat, nnsp));
1578: PetscCall(MatNullSpaceDestroy(&nnsp));
1579: }
1580: PetscCall(VecScatterDestroy(&nnsp_vscat));
1581: PetscCall(ISLocalToGlobalMappingDestroy(&vl2g));
1582: PetscCall(ISLocalToGlobalMappingDestroy(&el2g));
1583: PetscCall(ISLocalToGlobalMappingDestroy(&al2g));
1585: /* Start assembling */
1586: PetscCall(MatAssemblyBegin(T, MAT_FINAL_ASSEMBLY));
1587: if (pcbddc->nedcG) PetscCall(MatAssemblyBegin(pcbddc->nedcG, MAT_FINAL_ASSEMBLY));
1589: /* Free */
1590: if (fl2g) {
1591: PetscCall(ISDestroy(&primals));
1592: for (i = 0; i < nee; i++) PetscCall(ISDestroy(&eedges[i]));
1593: PetscCall(PetscFree(eedges));
1594: }
1596: /* hack mat_graph with primal dofs on the coarse edges */
1597: {
1598: PCBDDCGraph graph = pcbddc->mat_graph;
1599: PetscInt *oqueue = graph->queue;
1600: PetscInt *ocptr = graph->cptr;
1601: PetscInt ncc, *idxs;
1603: /* find first primal edge */
1604: if (pcbddc->nedclocal) {
1605: PetscCall(ISGetIndices(pcbddc->nedclocal, (const PetscInt **)&idxs));
1606: } else {
1607: if (fl2g) PetscCall(ISLocalToGlobalMappingApply(fl2g, nee, cedges, cedges));
1608: idxs = cedges;
1609: }
1610: cum = 0;
1611: while (cum < nee && cedges[cum] < 0) cum++;
1613: /* adapt connected components */
1614: PetscCall(PetscMalloc2(graph->nvtxs + 1, &graph->cptr, ocptr[graph->ncc], &graph->queue));
1615: graph->cptr[0] = 0;
1616: for (i = 0, ncc = 0; i < graph->ncc; i++) {
1617: PetscInt lc = ocptr[i + 1] - ocptr[i];
1618: if (cum != nee && oqueue[ocptr[i + 1] - 1] == cedges[cum]) { /* this cc has a primal dof */
1619: graph->cptr[ncc + 1] = graph->cptr[ncc] + 1;
1620: graph->queue[graph->cptr[ncc]] = cedges[cum];
1621: ncc++;
1622: lc--;
1623: cum++;
1624: while (cum < nee && cedges[cum] < 0) cum++;
1625: }
1626: graph->cptr[ncc + 1] = graph->cptr[ncc] + lc;
1627: for (j = 0; j < lc; j++) graph->queue[graph->cptr[ncc] + j] = oqueue[ocptr[i] + j];
1628: ncc++;
1629: }
1630: graph->ncc = ncc;
1631: if (pcbddc->nedclocal) PetscCall(ISRestoreIndices(pcbddc->nedclocal, (const PetscInt **)&idxs));
1632: PetscCall(PetscFree2(ocptr, oqueue));
1633: }
1634: PetscCall(ISLocalToGlobalMappingDestroy(&fl2g));
1635: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, &nee, &alleedges, &allprimals));
1636: PetscCall(PCBDDCGraphResetCSR(pcbddc->mat_graph));
1638: PetscCall(ISDestroy(&nedfieldlocal));
1639: PetscCall(PetscFree(extrow));
1640: PetscCall(PetscFree2(work, rwork));
1641: PetscCall(PetscFree(corners));
1642: PetscCall(PetscFree(cedges));
1643: PetscCall(PetscFree(extrows));
1644: PetscCall(PetscFree(extcols));
1645: PetscCall(MatDestroy(&lG));
1647: /* Complete assembling */
1648: PetscCall(MatAssemblyEnd(T, MAT_FINAL_ASSEMBLY));
1649: PetscCall(MatViewFromOptions(T, (PetscObject)pc, "-pc_bddc_nedelec_change_view"));
1650: if (pcbddc->nedcG) {
1651: PetscCall(MatAssemblyEnd(pcbddc->nedcG, MAT_FINAL_ASSEMBLY));
1652: PetscCall(MatViewFromOptions(pcbddc->nedcG, (PetscObject)pc, "-pc_bddc_nedelec_coarse_change_view"));
1653: }
1655: PetscCall(ISDestroy(&elements_corners));
1657: /* set change of basis */
1658: PetscCall(PCBDDCSetChangeOfBasisMat(pc, T, PETSC_FALSE));
1659: PetscCall(MatDestroy(&T));
1660: PetscFunctionReturn(PETSC_SUCCESS);
1661: }
1663: /* the near-null space of BDDC carries information on quadrature weights,
1664: and these can be collinear -> so cheat with MatNullSpaceCreate
1665: and create a suitable set of basis vectors first */
1666: PetscErrorCode PCBDDCNullSpaceCreate(MPI_Comm comm, PetscBool has_const, PetscInt nvecs, Vec quad_vecs[], MatNullSpace *nnsp)
1667: {
1668: PetscInt i;
1670: PetscFunctionBegin;
1671: for (i = 0; i < nvecs; i++) {
1672: PetscInt first, last;
1674: PetscCall(VecGetOwnershipRange(quad_vecs[i], &first, &last));
1675: PetscCheck(last - first >= 2 * nvecs || !has_const, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not implemented");
1676: if (i >= first && i < last) {
1677: PetscScalar *data;
1678: PetscCall(VecGetArray(quad_vecs[i], &data));
1679: if (!has_const) {
1680: data[i - first] = 1.;
1681: } else {
1682: data[2 * i - first] = 1. / PetscSqrtReal(2.);
1683: data[2 * i - first + 1] = -1. / PetscSqrtReal(2.);
1684: }
1685: PetscCall(VecRestoreArray(quad_vecs[i], &data));
1686: }
1687: PetscCall(PetscObjectStateIncrease((PetscObject)quad_vecs[i]));
1688: }
1689: PetscCall(MatNullSpaceCreate(comm, has_const, nvecs, quad_vecs, nnsp));
1690: for (i = 0; i < nvecs; i++) { /* reset vectors */
1691: PetscInt first, last;
1692: PetscCall(VecLockReadPop(quad_vecs[i]));
1693: PetscCall(VecGetOwnershipRange(quad_vecs[i], &first, &last));
1694: if (i >= first && i < last) {
1695: PetscScalar *data;
1696: PetscCall(VecGetArray(quad_vecs[i], &data));
1697: if (!has_const) {
1698: data[i - first] = 0.;
1699: } else {
1700: data[2 * i - first] = 0.;
1701: data[2 * i - first + 1] = 0.;
1702: }
1703: PetscCall(VecRestoreArray(quad_vecs[i], &data));
1704: }
1705: PetscCall(PetscObjectStateIncrease((PetscObject)quad_vecs[i]));
1706: PetscCall(VecLockReadPush(quad_vecs[i]));
1707: }
1708: PetscFunctionReturn(PETSC_SUCCESS);
1709: }
1711: PetscErrorCode PCBDDCComputeNoNetFlux(Mat A, Mat divudotp, PetscBool transpose, IS vl2l, PCBDDCGraph graph, MatNullSpace *nnsp)
1712: {
1713: Mat loc_divudotp;
1714: Vec p, v, quad_vec;
1715: ISLocalToGlobalMapping map;
1716: PetscScalar *array;
1718: PetscFunctionBegin;
1719: PetscCall(MatCreateVecs(A, &quad_vec, NULL));
1720: if (!transpose) {
1721: PetscCall(MatISGetLocalToGlobalMapping(A, &map, NULL));
1722: } else {
1723: PetscCall(MatISGetLocalToGlobalMapping(A, NULL, &map));
1724: }
1725: PetscCall(PCBDDCNullSpaceCreate(PetscObjectComm((PetscObject)A), PETSC_FALSE, 1, &quad_vec, nnsp));
1726: PetscCall(VecLockReadPop(quad_vec));
1727: PetscCall(VecSetLocalToGlobalMapping(quad_vec, map));
1729: /* compute local quad vec */
1730: PetscCall(MatISGetLocalMat(divudotp, &loc_divudotp));
1731: if (!transpose) {
1732: PetscCall(MatCreateVecs(loc_divudotp, &v, &p));
1733: } else {
1734: PetscCall(MatCreateVecs(loc_divudotp, &p, &v));
1735: }
1736: /* the assumption here is that the constant vector interpolates the constant on the L2 conforming space */
1737: PetscCall(VecSet(p, 1.));
1738: if (!transpose) {
1739: PetscCall(MatMultTranspose(loc_divudotp, p, v));
1740: } else {
1741: PetscCall(MatMult(loc_divudotp, p, v));
1742: }
1743: PetscCall(VecDestroy(&p));
1744: if (vl2l) {
1745: Mat lA;
1746: VecScatter sc;
1747: Vec vins;
1749: PetscCall(MatISGetLocalMat(A, &lA));
1750: PetscCall(MatCreateVecs(lA, &vins, NULL));
1751: PetscCall(VecScatterCreate(v, NULL, vins, vl2l, &sc));
1752: PetscCall(VecScatterBegin(sc, v, vins, INSERT_VALUES, SCATTER_FORWARD));
1753: PetscCall(VecScatterEnd(sc, v, vins, INSERT_VALUES, SCATTER_FORWARD));
1754: PetscCall(VecScatterDestroy(&sc));
1755: PetscCall(VecDestroy(&v));
1756: v = vins;
1757: }
1759: /* mask summation of interface values */
1760: PetscInt n, *mmask, *mask, *idxs, nmr, nr;
1761: const PetscInt *degree;
1762: PetscSF msf;
1764: PetscCall(VecGetLocalSize(v, &n));
1765: PetscCall(PetscSFGetGraph(graph->interface_subset_sf, &nr, NULL, NULL, NULL));
1766: PetscCall(PetscSFGetMultiSF(graph->interface_subset_sf, &msf));
1767: PetscCall(PetscSFGetGraph(msf, &nmr, NULL, NULL, NULL));
1768: PetscCall(PetscCalloc3(nmr, &mmask, n, &mask, n, &idxs));
1769: PetscCall(PetscSFComputeDegreeBegin(graph->interface_subset_sf, °ree));
1770: PetscCall(PetscSFComputeDegreeEnd(graph->interface_subset_sf, °ree));
1771: for (PetscInt i = 0, c = 0; i < nr; i++) {
1772: mmask[c] = 1;
1773: c += degree[i];
1774: }
1775: PetscCall(PetscSFScatterBegin(graph->interface_subset_sf, MPIU_INT, mmask, mask));
1776: PetscCall(PetscSFScatterEnd(graph->interface_subset_sf, MPIU_INT, mmask, mask));
1777: PetscCall(VecGetArray(v, &array));
1778: for (PetscInt i = 0; i < n; i++) {
1779: array[i] *= mask[i];
1780: idxs[i] = i;
1781: }
1782: PetscCall(VecSetValuesLocal(quad_vec, n, idxs, array, ADD_VALUES));
1783: PetscCall(VecRestoreArray(v, &array));
1784: PetscCall(PetscFree3(mmask, mask, idxs));
1785: PetscCall(VecDestroy(&v));
1786: PetscCall(VecAssemblyBegin(quad_vec));
1787: PetscCall(VecAssemblyEnd(quad_vec));
1788: PetscCall(VecViewFromOptions(quad_vec, NULL, "-pc_bddc_quad_vec_view"));
1789: PetscCall(VecLockReadPush(quad_vec));
1790: PetscCall(VecDestroy(&quad_vec));
1791: PetscFunctionReturn(PETSC_SUCCESS);
1792: }
1794: PetscErrorCode PCBDDCAddPrimalVerticesLocalIS(PC pc, IS primalv)
1795: {
1796: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
1798: PetscFunctionBegin;
1799: if (primalv) {
1800: if (pcbddc->user_primal_vertices_local) {
1801: IS list[2], newp;
1803: list[0] = primalv;
1804: list[1] = pcbddc->user_primal_vertices_local;
1805: PetscCall(ISConcatenate(PetscObjectComm((PetscObject)pc), 2, list, &newp));
1806: PetscCall(ISSortRemoveDups(newp));
1807: PetscCall(ISDestroy(&list[1]));
1808: pcbddc->user_primal_vertices_local = newp;
1809: } else {
1810: PetscCall(PCBDDCSetPrimalVerticesLocalIS(pc, primalv));
1811: }
1812: }
1813: PetscFunctionReturn(PETSC_SUCCESS);
1814: }
1816: static PetscErrorCode func_coords_private(PetscInt dim, PetscReal t, const PetscReal X[], PetscInt Nf, PetscScalar *out, PetscCtx ctx)
1817: {
1818: PetscInt f, *comp = (PetscInt *)ctx;
1820: PetscFunctionBegin;
1821: for (f = 0; f < Nf; f++) out[f] = X[*comp];
1822: PetscFunctionReturn(PETSC_SUCCESS);
1823: }
1825: PetscErrorCode PCBDDCComputeLocalTopologyInfo(PC pc)
1826: {
1827: Vec local, global;
1828: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
1829: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
1830: PetscBool monolithic = PETSC_FALSE;
1832: PetscFunctionBegin;
1833: PetscOptionsBegin(PetscObjectComm((PetscObject)pc), ((PetscObject)pc)->prefix, "BDDC topology options", "PC");
1834: PetscCall(PetscOptionsBool("-pc_bddc_monolithic", "Discard any information on dofs splitting", NULL, monolithic, &monolithic, NULL));
1835: PetscOptionsEnd();
1836: /* need to convert from global to local topology information and remove references to information in global ordering */
1837: PetscCall(MatCreateVecs(pc->pmat, &global, NULL));
1838: PetscCall(MatCreateVecs(matis->A, &local, NULL));
1839: PetscCall(VecBindToCPU(global, PETSC_TRUE));
1840: PetscCall(VecBindToCPU(local, PETSC_TRUE));
1841: if (monolithic) { /* just get block size to properly compute vertices */
1842: if (pcbddc->vertex_size == 1) PetscCall(MatGetBlockSize(pc->pmat, &pcbddc->vertex_size));
1843: goto boundary;
1844: }
1846: if (pcbddc->user_provided_isfordofs) {
1847: if (pcbddc->n_ISForDofs) {
1848: PetscInt i;
1850: PetscCall(PetscMalloc1(pcbddc->n_ISForDofs, &pcbddc->ISForDofsLocal));
1851: for (i = 0; i < pcbddc->n_ISForDofs; i++) {
1852: PetscInt bs;
1854: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, pcbddc->ISForDofs[i], &pcbddc->ISForDofsLocal[i]));
1855: PetscCall(ISGetBlockSize(pcbddc->ISForDofs[i], &bs));
1856: PetscCall(ISSetBlockSize(pcbddc->ISForDofsLocal[i], bs));
1857: PetscCall(ISDestroy(&pcbddc->ISForDofs[i]));
1858: }
1859: pcbddc->n_ISForDofsLocal = pcbddc->n_ISForDofs;
1860: pcbddc->n_ISForDofs = 0;
1861: PetscCall(PetscFree(pcbddc->ISForDofs));
1862: }
1863: } else {
1864: if (!pcbddc->n_ISForDofsLocal) { /* field split not present */
1865: DM dm;
1867: PetscCall(MatGetDM(pc->pmat, &dm));
1868: if (!dm) PetscCall(PCGetDM(pc, &dm));
1869: if (dm) {
1870: IS *fields;
1871: PetscInt nf, i;
1873: PetscCall(DMCreateFieldDecomposition(dm, &nf, NULL, &fields, NULL));
1874: PetscCall(PetscMalloc1(nf, &pcbddc->ISForDofsLocal));
1875: for (i = 0; i < nf; i++) {
1876: PetscInt bs;
1878: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, fields[i], &pcbddc->ISForDofsLocal[i]));
1879: PetscCall(ISGetBlockSize(fields[i], &bs));
1880: PetscCall(ISSetBlockSize(pcbddc->ISForDofsLocal[i], bs));
1881: PetscCall(ISDestroy(&fields[i]));
1882: }
1883: PetscCall(PetscFree(fields));
1884: pcbddc->n_ISForDofsLocal = nf;
1885: } else { /* See if MATIS has fields attached by the conversion from MatNest */
1886: PetscContainer c;
1888: PetscCall(PetscObjectQuery((PetscObject)pc->pmat, "_convert_nest_lfields", (PetscObject *)&c));
1889: if (c) {
1890: MatISLocalFields lf;
1891: PetscCall(PetscContainerGetPointer(c, &lf));
1892: PetscCall(PCBDDCSetDofsSplittingLocal(pc, lf->nr, lf->rf));
1893: } else { /* fallback, create the default fields if bs > 1 */
1894: PetscInt i, n = matis->A->rmap->n;
1895: PetscCall(MatGetBlockSize(pc->pmat, &i));
1896: if (i > 1) {
1897: pcbddc->n_ISForDofsLocal = i;
1898: PetscCall(PetscMalloc1(pcbddc->n_ISForDofsLocal, &pcbddc->ISForDofsLocal));
1899: for (i = 0; i < pcbddc->n_ISForDofsLocal; i++) PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), n / pcbddc->n_ISForDofsLocal, i, pcbddc->n_ISForDofsLocal, &pcbddc->ISForDofsLocal[i]));
1900: }
1901: }
1902: }
1903: } else {
1904: PetscInt i;
1905: for (i = 0; i < pcbddc->n_ISForDofsLocal; i++) PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LAND, &pcbddc->ISForDofsLocal[i]));
1906: }
1907: }
1909: boundary:
1910: if (!pcbddc->DirichletBoundariesLocal && pcbddc->DirichletBoundaries) {
1911: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, pcbddc->DirichletBoundaries, &pcbddc->DirichletBoundariesLocal));
1912: } else if (pcbddc->DirichletBoundariesLocal) {
1913: PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LAND, &pcbddc->DirichletBoundariesLocal));
1914: }
1915: if (!pcbddc->NeumannBoundariesLocal && pcbddc->NeumannBoundaries) {
1916: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, pcbddc->NeumannBoundaries, &pcbddc->NeumannBoundariesLocal));
1917: } else if (pcbddc->NeumannBoundariesLocal) {
1918: PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LOR, &pcbddc->NeumannBoundariesLocal));
1919: }
1920: 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));
1921: PetscCall(VecDestroy(&global));
1922: PetscCall(VecDestroy(&local));
1923: /* detect local disconnected subdomains if requested or needed */
1924: if (pcbddc->detect_disconnected || matis->allow_repeated) {
1925: IS primalv = NULL;
1926: PetscInt nel;
1927: PetscBool filter = pcbddc->detect_disconnected_filter;
1929: for (PetscInt i = 0; i < pcbddc->n_local_subs; i++) PetscCall(ISDestroy(&pcbddc->local_subs[i]));
1930: PetscCall(PetscFree(pcbddc->local_subs));
1931: PetscCall(MatGetVariableBlockSizes(matis->A, &nel, NULL));
1932: if (matis->allow_repeated && nel) {
1933: const PetscInt *elsizes;
1935: pcbddc->n_local_subs = nel;
1936: PetscCall(MatGetVariableBlockSizes(matis->A, NULL, &elsizes));
1937: PetscCall(PetscMalloc1(nel, &pcbddc->local_subs));
1938: for (PetscInt i = 0, c = 0; i < nel; i++) {
1939: PetscCall(ISCreateStride(PETSC_COMM_SELF, elsizes[i], c, 1, &pcbddc->local_subs[i]));
1940: c += elsizes[i];
1941: }
1942: } else {
1943: PetscCall(PCBDDCDetectDisconnectedComponents(pc, filter, &pcbddc->n_local_subs, &pcbddc->local_subs, &primalv));
1944: }
1945: PetscCall(PCBDDCAddPrimalVerticesLocalIS(pc, primalv));
1946: PetscCall(ISDestroy(&primalv));
1947: }
1948: /* early stage corner detection */
1949: {
1950: DM dm;
1952: PetscCall(MatGetDM(pc->pmat, &dm));
1953: if (!dm) PetscCall(PCGetDM(pc, &dm));
1954: if (dm) {
1955: PetscBool isda;
1957: PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMDA, &isda));
1958: if (isda) {
1959: ISLocalToGlobalMapping l2l;
1960: IS corners;
1961: Mat lA;
1962: PetscBool gl, lo;
1964: {
1965: Vec cvec;
1966: const PetscScalar *coords;
1967: PetscInt dof, n, cdim;
1968: PetscBool memc = PetscDefined(USE_COMPLEX) ? PETSC_FALSE : PETSC_TRUE;
1970: PetscCall(DMDAGetInfo(dm, NULL, NULL, NULL, NULL, NULL, NULL, NULL, &dof, NULL, NULL, NULL, NULL, NULL));
1971: PetscCall(DMGetCoordinates(dm, &cvec));
1972: PetscCall(VecGetLocalSize(cvec, &n));
1973: PetscCall(VecGetBlockSize(cvec, &cdim));
1974: n /= cdim;
1975: PetscCall(PetscFree(pcbddc->mat_graph->coords));
1976: PetscCall(PetscMalloc1(dof * n * cdim, &pcbddc->mat_graph->coords));
1977: PetscCall(VecGetArrayRead(cvec, &coords));
1978: if (dof != 1) memc = PETSC_FALSE;
1979: if (memc) {
1980: PetscCall(PetscArraycpy(pcbddc->mat_graph->coords, coords, cdim * n * dof));
1981: } else { /* BDDC graph does not use any blocked information, we need to replicate the data */
1982: PetscReal *bcoords = pcbddc->mat_graph->coords;
1983: PetscInt i, b, d;
1985: for (i = 0; i < n; i++) {
1986: for (b = 0; b < dof; b++) {
1987: for (d = 0; d < cdim; d++) bcoords[i * dof * cdim + b * cdim + d] = PetscRealPart(coords[i * cdim + d]);
1988: }
1989: }
1990: }
1991: PetscCall(VecRestoreArrayRead(cvec, &coords));
1992: pcbddc->mat_graph->cdim = cdim;
1993: pcbddc->mat_graph->cnloc = dof * n;
1994: pcbddc->mat_graph->cloc = PETSC_FALSE;
1995: }
1996: PetscCall(DMDAGetSubdomainCornersIS(dm, &corners));
1997: PetscCall(MatISGetLocalMat(pc->pmat, &lA));
1998: PetscCall(MatGetLocalToGlobalMapping(lA, &l2l, NULL));
1999: PetscCall(MatISRestoreLocalMat(pc->pmat, &lA));
2000: lo = (PetscBool)(l2l && corners);
2001: PetscCallMPI(MPIU_Allreduce(&lo, &gl, 1, MPI_C_BOOL, MPI_LAND, PetscObjectComm((PetscObject)pc)));
2002: if (gl) { /* From PETSc's DMDA */
2003: const PetscInt *idx;
2004: PetscInt dof, bs, *idxout, n;
2006: PetscCall(DMDAGetInfo(dm, NULL, NULL, NULL, NULL, NULL, NULL, NULL, &dof, NULL, NULL, NULL, NULL, NULL));
2007: PetscCall(ISLocalToGlobalMappingGetBlockSize(l2l, &bs));
2008: PetscCall(ISGetLocalSize(corners, &n));
2009: PetscCall(ISGetIndices(corners, &idx));
2010: if (bs == dof) {
2011: PetscCall(PetscMalloc1(n, &idxout));
2012: PetscCall(ISLocalToGlobalMappingApplyBlock(l2l, n, idx, idxout));
2013: } else { /* the original DMDA local-to-local map have been modified */
2014: PetscInt i, d;
2016: PetscCall(PetscMalloc1(dof * n, &idxout));
2017: for (i = 0; i < n; i++)
2018: for (d = 0; d < dof; d++) idxout[dof * i + d] = dof * idx[i] + d;
2019: PetscCall(ISLocalToGlobalMappingApply(l2l, dof * n, idxout, idxout));
2021: bs = 1;
2022: n *= dof;
2023: }
2024: PetscCall(ISRestoreIndices(corners, &idx));
2025: PetscCall(DMDARestoreSubdomainCornersIS(dm, &corners));
2026: PetscCall(ISCreateBlock(PetscObjectComm((PetscObject)pc), bs, n, idxout, PETSC_OWN_POINTER, &corners));
2027: PetscCall(PCBDDCAddPrimalVerticesLocalIS(pc, corners));
2028: PetscCall(ISDestroy(&corners));
2029: pcbddc->corner_selected = PETSC_TRUE;
2030: pcbddc->corner_selection = PETSC_TRUE;
2031: }
2032: if (corners) PetscCall(DMDARestoreSubdomainCornersIS(dm, &corners));
2033: }
2034: }
2035: }
2036: if (pcbddc->corner_selection && !pcbddc->mat_graph->cdim) {
2037: DM dm;
2039: PetscCall(MatGetDM(pc->pmat, &dm));
2040: if (!dm) PetscCall(PCGetDM(pc, &dm));
2041: if (dm) { /* this can get very expensive, I need to find a faster alternative */
2042: Vec vcoords;
2043: PetscSection section;
2044: PetscReal *coords;
2045: PetscInt d, cdim, nl, nf, **ctxs;
2046: PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal *, PetscInt, PetscScalar *, void *);
2047: /* debug coordinates */
2048: PetscViewer viewer;
2049: PetscBool flg;
2050: PetscViewerFormat format;
2051: const char *prefix;
2053: PetscCall(DMGetCoordinateDim(dm, &cdim));
2054: PetscCall(DMGetLocalSection(dm, §ion));
2055: PetscCall(PetscSectionGetNumFields(section, &nf));
2056: PetscCall(DMCreateGlobalVector(dm, &vcoords));
2057: PetscCall(VecGetLocalSize(vcoords, &nl));
2058: PetscCall(PetscMalloc1(nl * cdim, &coords));
2059: PetscCall(PetscMalloc2(nf, &funcs, nf, &ctxs));
2060: PetscCall(PetscMalloc1(nf, &ctxs[0]));
2061: for (d = 0; d < nf; d++) funcs[d] = func_coords_private;
2062: for (d = 1; d < nf; d++) ctxs[d] = ctxs[d - 1] + 1;
2064: /* debug coordinates */
2065: PetscCall(PCGetOptionsPrefix(pc, &prefix));
2066: PetscCall(PetscOptionsCreateViewer(PetscObjectComm((PetscObject)vcoords), ((PetscObject)vcoords)->options, prefix, "-pc_bddc_coords_vec_view", &viewer, &format, &flg));
2067: if (flg) PetscCall(PetscViewerPushFormat(viewer, format));
2068: for (d = 0; d < cdim; d++) {
2069: PetscInt i;
2070: const PetscScalar *v;
2071: char name[16];
2073: for (i = 0; i < nf; i++) ctxs[i][0] = d;
2074: PetscCall(PetscSNPrintf(name, sizeof(name), "bddc_coords_%" PetscInt_FMT, d));
2075: PetscCall(PetscObjectSetName((PetscObject)vcoords, name));
2076: PetscCall(DMProjectFunction(dm, 0.0, funcs, (void **)ctxs, INSERT_VALUES, vcoords));
2077: if (flg) PetscCall(VecView(vcoords, viewer));
2078: PetscCall(VecGetArrayRead(vcoords, &v));
2079: for (i = 0; i < nl; i++) coords[i * cdim + d] = PetscRealPart(v[i]);
2080: PetscCall(VecRestoreArrayRead(vcoords, &v));
2081: }
2082: PetscCall(VecDestroy(&vcoords));
2083: PetscCall(PCSetCoordinates(pc, cdim, nl, coords));
2084: PetscCall(PetscFree(coords));
2085: PetscCall(PetscFree(ctxs[0]));
2086: PetscCall(PetscFree2(funcs, ctxs));
2087: if (flg) {
2088: PetscCall(PetscViewerPopFormat(viewer));
2089: PetscCall(PetscViewerDestroy(&viewer));
2090: }
2091: }
2092: }
2093: PetscFunctionReturn(PETSC_SUCCESS);
2094: }
2096: PetscErrorCode PCBDDCConsistencyCheckIS(PC pc, MPI_Op mop, IS *is)
2097: {
2098: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
2099: IS nis;
2100: const PetscInt *idxs;
2101: PetscInt i, nd, n = matis->A->rmap->n, *nidxs, nnd;
2103: PetscFunctionBegin;
2104: PetscCheck(mop == MPI_LAND || mop == MPI_LOR, PetscObjectComm((PetscObject)pc), PETSC_ERR_SUP, "Supported are MPI_LAND and MPI_LOR");
2105: if (mop == MPI_LAND) {
2106: /* init rootdata with true */
2107: for (i = 0; i < pc->pmat->rmap->n; i++) matis->sf_rootdata[i] = 1;
2108: } else {
2109: PetscCall(PetscArrayzero(matis->sf_rootdata, pc->pmat->rmap->n));
2110: }
2111: PetscCall(PetscArrayzero(matis->sf_leafdata, n));
2112: PetscCall(ISGetLocalSize(*is, &nd));
2113: PetscCall(ISGetIndices(*is, &idxs));
2114: for (i = 0; i < nd; i++)
2115: if (-1 < idxs[i] && idxs[i] < n) matis->sf_leafdata[idxs[i]] = 1;
2116: PetscCall(ISRestoreIndices(*is, &idxs));
2117: PetscCall(PetscSFReduceBegin(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, mop));
2118: PetscCall(PetscSFReduceEnd(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, mop));
2119: PetscCall(PetscSFBcastBegin(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
2120: PetscCall(PetscSFBcastEnd(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
2121: if (mop == MPI_LAND) {
2122: PetscCall(PetscMalloc1(nd, &nidxs));
2123: } else {
2124: PetscCall(PetscMalloc1(n, &nidxs));
2125: }
2126: for (i = 0, nnd = 0; i < n; i++)
2127: if (matis->sf_leafdata[i]) nidxs[nnd++] = i;
2128: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)*is), nnd, nidxs, PETSC_OWN_POINTER, &nis));
2129: PetscCall(ISDestroy(is));
2130: *is = nis;
2131: PetscFunctionReturn(PETSC_SUCCESS);
2132: }
2134: PetscErrorCode PCBDDCBenignRemoveInterior(PC pc, Vec r, Vec z)
2135: {
2136: PC_IS *pcis = (PC_IS *)pc->data;
2137: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2139: PetscFunctionBegin;
2140: if (!pcbddc->benign_have_null) PetscFunctionReturn(PETSC_SUCCESS);
2141: if (pcbddc->ChangeOfBasisMatrix) {
2142: Vec swap;
2144: PetscCall(MatMultTranspose(pcbddc->ChangeOfBasisMatrix, r, pcbddc->work_change));
2145: swap = pcbddc->work_change;
2146: pcbddc->work_change = r;
2147: r = swap;
2148: }
2149: PetscCall(VecScatterBegin(pcis->global_to_D, r, pcis->vec1_D, INSERT_VALUES, SCATTER_FORWARD));
2150: PetscCall(VecScatterEnd(pcis->global_to_D, r, pcis->vec1_D, INSERT_VALUES, SCATTER_FORWARD));
2151: PetscCall(PetscLogEventBegin(PC_BDDC_Solves[pcbddc->current_level][0], pc, 0, 0, 0));
2152: PetscCall(KSPSolve(pcbddc->ksp_D, pcis->vec1_D, pcis->vec2_D));
2153: PetscCall(PetscLogEventEnd(PC_BDDC_Solves[pcbddc->current_level][0], pc, 0, 0, 0));
2154: PetscCall(KSPCheckSolve(pcbddc->ksp_D, pc, pcis->vec2_D));
2155: PetscCall(VecSet(z, 0.));
2156: PetscCall(VecScatterBegin(pcis->global_to_D, pcis->vec2_D, z, INSERT_VALUES, SCATTER_REVERSE));
2157: PetscCall(VecScatterEnd(pcis->global_to_D, pcis->vec2_D, z, INSERT_VALUES, SCATTER_REVERSE));
2158: if (pcbddc->ChangeOfBasisMatrix) {
2159: pcbddc->work_change = r;
2160: PetscCall(VecCopy(z, pcbddc->work_change));
2161: PetscCall(MatMult(pcbddc->ChangeOfBasisMatrix, pcbddc->work_change, z));
2162: }
2163: PetscFunctionReturn(PETSC_SUCCESS);
2164: }
2166: static PetscErrorCode PCBDDCBenignMatMult_Private_Private(Mat A, Vec x, Vec y, PetscBool transpose)
2167: {
2168: PCBDDCBenignMatMult_ctx ctx;
2169: PetscBool apply_right, apply_left, reset_x;
2171: PetscFunctionBegin;
2172: PetscCall(MatShellGetContext(A, &ctx));
2173: if (transpose) {
2174: apply_right = ctx->apply_left;
2175: apply_left = ctx->apply_right;
2176: } else {
2177: apply_right = ctx->apply_right;
2178: apply_left = ctx->apply_left;
2179: }
2180: reset_x = PETSC_FALSE;
2181: if (apply_right) {
2182: const PetscScalar *ax;
2183: PetscInt nl, i;
2185: PetscCall(VecGetLocalSize(x, &nl));
2186: PetscCall(VecGetArrayRead(x, &ax));
2187: PetscCall(PetscArraycpy(ctx->work, ax, nl));
2188: PetscCall(VecRestoreArrayRead(x, &ax));
2189: for (i = 0; i < ctx->benign_n; i++) {
2190: PetscScalar sum, val;
2191: const PetscInt *idxs;
2192: PetscInt nz, j;
2193: PetscCall(ISGetLocalSize(ctx->benign_zerodiag_subs[i], &nz));
2194: PetscCall(ISGetIndices(ctx->benign_zerodiag_subs[i], &idxs));
2195: sum = 0.;
2196: if (ctx->apply_p0) {
2197: val = ctx->work[idxs[nz - 1]];
2198: for (j = 0; j < nz - 1; j++) {
2199: sum += ctx->work[idxs[j]];
2200: ctx->work[idxs[j]] += val;
2201: }
2202: } else {
2203: for (j = 0; j < nz - 1; j++) sum += ctx->work[idxs[j]];
2204: }
2205: ctx->work[idxs[nz - 1]] -= sum;
2206: PetscCall(ISRestoreIndices(ctx->benign_zerodiag_subs[i], &idxs));
2207: }
2208: PetscCall(VecPlaceArray(x, ctx->work));
2209: reset_x = PETSC_TRUE;
2210: }
2211: if (transpose) {
2212: PetscCall(MatMultTranspose(ctx->A, x, y));
2213: } else {
2214: PetscCall(MatMult(ctx->A, x, y));
2215: }
2216: if (reset_x) PetscCall(VecResetArray(x));
2217: if (apply_left) {
2218: PetscScalar *ay;
2219: PetscInt i;
2221: PetscCall(VecGetArray(y, &ay));
2222: for (i = 0; i < ctx->benign_n; i++) {
2223: PetscScalar sum, val;
2224: const PetscInt *idxs;
2225: PetscInt nz, j;
2226: PetscCall(ISGetLocalSize(ctx->benign_zerodiag_subs[i], &nz));
2227: PetscCall(ISGetIndices(ctx->benign_zerodiag_subs[i], &idxs));
2228: val = -ay[idxs[nz - 1]];
2229: if (ctx->apply_p0) {
2230: sum = 0.;
2231: for (j = 0; j < nz - 1; j++) {
2232: sum += ay[idxs[j]];
2233: ay[idxs[j]] += val;
2234: }
2235: ay[idxs[nz - 1]] += sum;
2236: } else {
2237: for (j = 0; j < nz - 1; j++) ay[idxs[j]] += val;
2238: ay[idxs[nz - 1]] = 0.;
2239: }
2240: PetscCall(ISRestoreIndices(ctx->benign_zerodiag_subs[i], &idxs));
2241: }
2242: PetscCall(VecRestoreArray(y, &ay));
2243: }
2244: PetscFunctionReturn(PETSC_SUCCESS);
2245: }
2247: static PetscErrorCode PCBDDCBenignMatMultTranspose_Private(Mat A, Vec x, Vec y)
2248: {
2249: PetscFunctionBegin;
2250: PetscCall(PCBDDCBenignMatMult_Private_Private(A, x, y, PETSC_TRUE));
2251: PetscFunctionReturn(PETSC_SUCCESS);
2252: }
2254: static PetscErrorCode PCBDDCBenignMatMult_Private(Mat A, Vec x, Vec y)
2255: {
2256: PetscFunctionBegin;
2257: PetscCall(PCBDDCBenignMatMult_Private_Private(A, x, y, PETSC_FALSE));
2258: PetscFunctionReturn(PETSC_SUCCESS);
2259: }
2261: PetscErrorCode PCBDDCBenignShellMat(PC pc, PetscBool restore)
2262: {
2263: PC_IS *pcis = (PC_IS *)pc->data;
2264: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2265: PCBDDCBenignMatMult_ctx ctx;
2267: PetscFunctionBegin;
2268: if (!restore) {
2269: Mat A_IB, A_BI;
2270: PetscScalar *work;
2271: PCBDDCReuseSolvers reuse = pcbddc->sub_schurs ? pcbddc->sub_schurs->reuse_solver : NULL;
2273: PetscCheck(!pcbddc->benign_original_mat, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Benign original mat has not been restored");
2274: if (!pcbddc->benign_change || !pcbddc->benign_n || pcbddc->benign_change_explicit) PetscFunctionReturn(PETSC_SUCCESS);
2275: PetscCall(PetscMalloc1(pcis->n, &work));
2276: PetscCall(MatCreate(PETSC_COMM_SELF, &A_IB));
2277: PetscCall(MatSetSizes(A_IB, pcis->n - pcis->n_B, pcis->n_B, PETSC_DECIDE, PETSC_DECIDE));
2278: PetscCall(MatSetType(A_IB, MATSHELL));
2279: PetscCall(MatShellSetOperation(A_IB, MATOP_MULT, (PetscErrorCodeFn *)PCBDDCBenignMatMult_Private));
2280: PetscCall(MatShellSetOperation(A_IB, MATOP_MULT_TRANSPOSE, (PetscErrorCodeFn *)PCBDDCBenignMatMultTranspose_Private));
2281: PetscCall(PetscNew(&ctx));
2282: PetscCall(MatShellSetContext(A_IB, ctx));
2283: ctx->apply_left = PETSC_TRUE;
2284: ctx->apply_right = PETSC_FALSE;
2285: ctx->apply_p0 = PETSC_FALSE;
2286: ctx->benign_n = pcbddc->benign_n;
2287: if (reuse) {
2288: ctx->benign_zerodiag_subs = reuse->benign_zerodiag_subs;
2289: ctx->free = PETSC_FALSE;
2290: } else { /* TODO: could be optimized for successive solves */
2291: ISLocalToGlobalMapping N_to_D;
2292: PetscInt i;
2294: PetscCall(ISLocalToGlobalMappingCreateIS(pcis->is_I_local, &N_to_D));
2295: PetscCall(PetscMalloc1(pcbddc->benign_n, &ctx->benign_zerodiag_subs));
2296: 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]));
2297: PetscCall(ISLocalToGlobalMappingDestroy(&N_to_D));
2298: ctx->free = PETSC_TRUE;
2299: }
2300: ctx->A = pcis->A_IB;
2301: ctx->work = work;
2302: PetscCall(MatSetUp(A_IB));
2303: PetscCall(MatAssemblyBegin(A_IB, MAT_FINAL_ASSEMBLY));
2304: PetscCall(MatAssemblyEnd(A_IB, MAT_FINAL_ASSEMBLY));
2305: pcis->A_IB = A_IB;
2307: /* A_BI as A_IB^T */
2308: PetscCall(MatCreateTranspose(A_IB, &A_BI));
2309: pcbddc->benign_original_mat = pcis->A_BI;
2310: pcis->A_BI = A_BI;
2311: } else {
2312: if (!pcbddc->benign_original_mat) PetscFunctionReturn(PETSC_SUCCESS);
2313: PetscCall(MatShellGetContext(pcis->A_IB, &ctx));
2314: PetscCall(MatDestroy(&pcis->A_IB));
2315: pcis->A_IB = ctx->A;
2316: ctx->A = NULL;
2317: PetscCall(MatDestroy(&pcis->A_BI));
2318: pcis->A_BI = pcbddc->benign_original_mat;
2319: pcbddc->benign_original_mat = NULL;
2320: if (ctx->free) {
2321: PetscInt i;
2322: for (i = 0; i < ctx->benign_n; i++) PetscCall(ISDestroy(&ctx->benign_zerodiag_subs[i]));
2323: PetscCall(PetscFree(ctx->benign_zerodiag_subs));
2324: }
2325: PetscCall(PetscFree(ctx->work));
2326: PetscCall(PetscFree(ctx));
2327: }
2328: PetscFunctionReturn(PETSC_SUCCESS);
2329: }
2331: /* used just in bddc debug mode */
2332: static PetscErrorCode PCBDDCBenignProject(PC pc, IS is1, IS is2, Mat *B)
2333: {
2334: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2335: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
2336: Mat An;
2338: PetscFunctionBegin;
2339: PetscCall(MatPtAP(matis->A, pcbddc->benign_change, MAT_INITIAL_MATRIX, 2.0, &An));
2340: PetscCall(MatZeroRowsColumns(An, pcbddc->benign_n, pcbddc->benign_p0_lidx, 1.0, NULL, NULL));
2341: if (is1) {
2342: PetscCall(MatCreateSubMatrix(An, is1, is2, MAT_INITIAL_MATRIX, B));
2343: PetscCall(MatDestroy(&An));
2344: } else {
2345: *B = An;
2346: }
2347: PetscFunctionReturn(PETSC_SUCCESS);
2348: }
2350: /* TODO: add reuse flag */
2351: PetscErrorCode MatSeqAIJCompress(Mat A, Mat *B)
2352: {
2353: Mat Bt;
2354: PetscScalar *a, *bdata;
2355: const PetscInt *ii, *ij;
2356: PetscInt m, n, i, nnz, *bii, *bij;
2357: PetscBool flg_row;
2359: PetscFunctionBegin;
2360: PetscCall(MatGetSize(A, &n, &m));
2361: PetscCall(MatGetRowIJ(A, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &ij, &flg_row));
2362: PetscCall(MatSeqAIJGetArray(A, &a));
2363: nnz = n;
2364: for (i = 0; i < ii[n]; i++) {
2365: if (PetscLikely(PetscAbsScalar(a[i]) > PETSC_SMALL)) nnz++;
2366: }
2367: PetscCall(PetscMalloc1(n + 1, &bii));
2368: PetscCall(PetscMalloc1(nnz, &bij));
2369: PetscCall(PetscMalloc1(nnz, &bdata));
2370: nnz = 0;
2371: bii[0] = 0;
2372: for (i = 0; i < n; i++) {
2373: PetscInt j;
2374: for (j = ii[i]; j < ii[i + 1]; j++) {
2375: PetscScalar entry = a[j];
2376: if (PetscLikely(PetscAbsScalar(entry) > PETSC_SMALL) || (n == m && ij[j] == i)) {
2377: bij[nnz] = ij[j];
2378: bdata[nnz] = entry;
2379: nnz++;
2380: }
2381: }
2382: bii[i + 1] = nnz;
2383: }
2384: PetscCall(MatSeqAIJRestoreArray(A, &a));
2385: PetscCall(MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A), n, m, bii, bij, bdata, &Bt));
2386: PetscCall(MatRestoreRowIJ(A, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &ij, &flg_row));
2387: {
2388: Mat_SeqAIJ *b = (Mat_SeqAIJ *)Bt->data;
2389: b->free_a = PETSC_TRUE;
2390: b->free_ij = PETSC_TRUE;
2391: }
2392: if (*B == A) PetscCall(MatDestroy(&A));
2393: *B = Bt;
2394: PetscFunctionReturn(PETSC_SUCCESS);
2395: }
2397: PetscErrorCode PCBDDCDetectDisconnectedComponents(PC pc, PetscBool filter, PetscInt *ncc, IS *cc[], IS *primalv)
2398: {
2399: Mat B = NULL;
2400: DM dm;
2401: IS is_dummy, *cc_n;
2402: ISLocalToGlobalMapping l2gmap_dummy;
2403: PCBDDCGraph graph;
2404: PetscInt *xadj_filtered = NULL, *adjncy_filtered = NULL;
2405: PetscInt i, n;
2406: PetscInt *xadj, *adjncy;
2407: PetscBool isplex = PETSC_FALSE;
2409: PetscFunctionBegin;
2410: if (ncc) *ncc = 0;
2411: if (cc) *cc = NULL;
2412: if (primalv) *primalv = NULL;
2413: PetscCall(PCBDDCGraphCreate(&graph));
2414: PetscCall(MatGetDM(pc->pmat, &dm));
2415: if (!dm) PetscCall(PCGetDM(pc, &dm));
2416: if (dm) PetscCall(PetscObjectTypeCompareAny((PetscObject)dm, &isplex, DMPLEX, DMP4EST, DMP8EST, ""));
2417: if (filter) isplex = PETSC_FALSE;
2419: if (isplex) { /* this code has been modified from plexpartition.c */
2420: PetscInt p, pStart, pEnd, a, adjSize, idx, size, nroots;
2421: PetscInt *adj = NULL;
2422: IS cellNumbering;
2423: const PetscInt *cellNum;
2424: PetscBool useCone, useClosure;
2425: PetscSection section;
2426: PetscSegBuffer adjBuffer;
2427: PetscSF sfPoint;
2429: PetscCall(DMConvert(dm, DMPLEX, &dm));
2430: PetscCall(DMPlexGetHeightStratum(dm, 0, &pStart, &pEnd));
2431: PetscCall(DMGetPointSF(dm, &sfPoint));
2432: PetscCall(PetscSFGetGraph(sfPoint, &nroots, NULL, NULL, NULL));
2433: /* Build adjacency graph via a section/segbuffer */
2434: PetscCall(PetscSectionCreate(PetscObjectComm((PetscObject)dm), §ion));
2435: PetscCall(PetscSectionSetChart(section, pStart, pEnd));
2436: PetscCall(PetscSegBufferCreate(sizeof(PetscInt), 1000, &adjBuffer));
2437: /* Always use FVM adjacency to create partitioner graph */
2438: PetscCall(DMGetBasicAdjacency(dm, &useCone, &useClosure));
2439: PetscCall(DMSetBasicAdjacency(dm, PETSC_TRUE, PETSC_FALSE));
2440: PetscCall(DMPlexGetCellNumbering(dm, &cellNumbering));
2441: PetscCall(ISGetIndices(cellNumbering, &cellNum));
2442: for (n = 0, p = pStart; p < pEnd; p++) {
2443: /* Skip non-owned cells in parallel (ParMetis expects no overlap) */
2444: if (nroots > 0) {
2445: if (cellNum[p] < 0) continue;
2446: }
2447: adjSize = PETSC_DETERMINE;
2448: PetscCall(DMPlexGetAdjacency(dm, p, &adjSize, &adj));
2449: for (a = 0; a < adjSize; ++a) {
2450: const PetscInt point = adj[a];
2451: if (pStart <= point && point < pEnd) {
2452: PetscInt *PETSC_RESTRICT pBuf;
2453: PetscCall(PetscSectionAddDof(section, p, 1));
2454: PetscCall(PetscSegBufferGetInts(adjBuffer, 1, &pBuf));
2455: *pBuf = point;
2456: }
2457: }
2458: n++;
2459: }
2460: PetscCall(DMSetBasicAdjacency(dm, useCone, useClosure));
2461: /* Derive CSR graph from section/segbuffer */
2462: PetscCall(PetscSectionSetUp(section));
2463: PetscCall(PetscSectionGetStorageSize(section, &size));
2464: PetscCall(PetscMalloc1(n + 1, &xadj));
2465: for (idx = 0, p = pStart; p < pEnd; p++) {
2466: if (nroots > 0) {
2467: if (cellNum[p] < 0) continue;
2468: }
2469: PetscCall(PetscSectionGetOffset(section, p, &xadj[idx++]));
2470: }
2471: xadj[n] = size;
2472: PetscCall(PetscSegBufferExtractAlloc(adjBuffer, &adjncy));
2473: /* Clean up */
2474: PetscCall(PetscSegBufferDestroy(&adjBuffer));
2475: PetscCall(PetscSectionDestroy(§ion));
2476: PetscCall(PetscFree(adj));
2477: graph->xadj = xadj;
2478: graph->adjncy = adjncy;
2479: } else {
2480: Mat A;
2481: PetscBool isseqaij, flg_row;
2483: PetscCall(MatISGetLocalMat(pc->pmat, &A));
2484: if (!A->rmap->N || !A->cmap->N) {
2485: PetscCall(PCBDDCGraphDestroy(&graph));
2486: PetscFunctionReturn(PETSC_SUCCESS);
2487: }
2488: PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATSEQAIJ, &isseqaij));
2489: if (!isseqaij && filter) {
2490: PetscBool isseqdense;
2492: PetscCall(PetscObjectTypeCompare((PetscObject)A, MATSEQDENSE, &isseqdense));
2493: if (!isseqdense) {
2494: PetscCall(MatConvert(A, MATSEQAIJ, MAT_INITIAL_MATRIX, &B));
2495: } else { /* TODO: rectangular case and LDA */
2496: PetscScalar *array;
2497: PetscReal chop = 1.e-6;
2499: PetscCall(MatDuplicate(A, MAT_COPY_VALUES, &B));
2500: PetscCall(MatDenseGetArray(B, &array));
2501: PetscCall(MatGetSize(B, &n, NULL));
2502: for (i = 0; i < n; i++) {
2503: PetscInt j;
2504: for (j = i + 1; j < n; j++) {
2505: PetscReal thresh = chop * (PetscAbsScalar(array[i * (n + 1)]) + PetscAbsScalar(array[j * (n + 1)]));
2506: if (PetscAbsScalar(array[i * n + j]) < thresh) array[i * n + j] = 0.;
2507: if (PetscAbsScalar(array[j * n + i]) < thresh) array[j * n + i] = 0.;
2508: }
2509: }
2510: PetscCall(MatDenseRestoreArray(B, &array));
2511: PetscCall(MatConvert(B, MATSEQAIJ, MAT_INPLACE_MATRIX, &B));
2512: }
2513: } else {
2514: PetscCall(PetscObjectReference((PetscObject)A));
2515: B = A;
2516: }
2517: PetscCall(MatGetRowIJ(B, 0, PETSC_TRUE, PETSC_FALSE, &n, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
2519: /* if filter is true, then removes entries lower than PETSC_SMALL in magnitude */
2520: if (filter) {
2521: PetscScalar *data;
2522: PetscInt j, cum;
2524: PetscCall(PetscCalloc2(n + 1, &xadj_filtered, xadj[n], &adjncy_filtered));
2525: PetscCall(MatSeqAIJGetArray(B, &data));
2526: cum = 0;
2527: for (i = 0; i < n; i++) {
2528: PetscInt t;
2530: for (j = xadj[i]; j < xadj[i + 1]; j++) {
2531: if (PetscUnlikely(PetscAbsScalar(data[j]) < PETSC_SMALL)) continue;
2532: adjncy_filtered[cum + xadj_filtered[i]++] = adjncy[j];
2533: }
2534: t = xadj_filtered[i];
2535: xadj_filtered[i] = cum;
2536: cum += t;
2537: }
2538: PetscCall(MatSeqAIJRestoreArray(B, &data));
2539: graph->xadj = xadj_filtered;
2540: graph->adjncy = adjncy_filtered;
2541: } else {
2542: graph->xadj = xadj;
2543: graph->adjncy = adjncy;
2544: }
2545: }
2546: /* compute local connected components using PCBDDCGraph */
2547: graph->seq_graph = PETSC_TRUE; /* analyze local connected components (i.e. disconnected subdomains) irrespective of dofs count */
2548: PetscCall(ISCreateStride(PETSC_COMM_SELF, n, 0, 1, &is_dummy));
2549: PetscCall(ISLocalToGlobalMappingCreateIS(is_dummy, &l2gmap_dummy));
2550: PetscCall(ISDestroy(&is_dummy));
2551: PetscCall(PCBDDCGraphInit(graph, l2gmap_dummy, n, PETSC_INT_MAX));
2552: PetscCall(ISLocalToGlobalMappingDestroy(&l2gmap_dummy));
2553: PetscCall(PCBDDCGraphSetUp(graph, 1, NULL, NULL, 0, NULL, NULL));
2554: PetscCall(PCBDDCGraphComputeConnectedComponents(graph));
2556: /* partial clean up */
2557: PetscCall(PetscFree2(xadj_filtered, adjncy_filtered));
2558: if (B) {
2559: PetscBool flg_row;
2560: PetscCall(MatRestoreRowIJ(B, 0, PETSC_TRUE, PETSC_FALSE, &n, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
2561: PetscCall(MatDestroy(&B));
2562: }
2563: if (isplex) {
2564: PetscCall(PetscFree(xadj));
2565: PetscCall(PetscFree(adjncy));
2566: }
2568: /* get back data */
2569: if (isplex) {
2570: if (ncc) *ncc = graph->ncc;
2571: if (cc || primalv) {
2572: Mat A;
2573: PetscBT btv, btvt, btvc;
2574: PetscSection subSection;
2575: PetscInt *ids, cum, cump, *cids, *pids;
2576: PetscInt dim, cStart, cEnd, fStart, fEnd, vStart, vEnd, pStart, pEnd;
2578: PetscCall(DMGetDimension(dm, &dim));
2579: PetscCall(DMPlexGetSubdomainSection(dm, &subSection));
2580: PetscCall(DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd));
2581: PetscCall(DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd));
2582: PetscCall(DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd));
2583: PetscCall(DMPlexGetChart(dm, &pStart, &pEnd));
2584: PetscCall(MatISGetLocalMat(pc->pmat, &A));
2585: PetscCall(PetscMalloc3(A->rmap->n, &ids, graph->ncc + 1, &cids, A->rmap->n, &pids));
2586: PetscCall(PetscBTCreate(A->rmap->n, &btv));
2587: PetscCall(PetscBTCreate(A->rmap->n, &btvt));
2588: PetscCall(PetscBTCreate(pEnd - pStart, &btvc));
2590: /* First see if we find corners for the subdomains, i.e. a vertex
2591: shared by at least dim subdomain boundary faces. This does not
2592: cover all the possible cases with simplices but it is enough
2593: for tensor cells */
2594: if (vStart != fStart && dim <= 3) {
2595: for (PetscInt c = cStart; c < cEnd; c++) {
2596: PetscInt nf, cnt = 0, mcnt = dim, *cfaces;
2597: const PetscInt *faces;
2599: PetscCall(DMPlexGetConeSize(dm, c, &nf));
2600: PetscCall(DMGetWorkArray(dm, nf, MPIU_INT, &cfaces));
2601: PetscCall(DMPlexGetCone(dm, c, &faces));
2602: for (PetscInt f = 0; f < nf; f++) {
2603: PetscInt nc, ff;
2605: PetscCall(DMPlexGetSupportSize(dm, faces[f], &nc));
2606: PetscCall(DMPlexGetTreeParent(dm, faces[f], &ff, NULL));
2607: if (nc == 1 && faces[f] == ff) cfaces[cnt++] = faces[f];
2608: }
2609: if (cnt >= mcnt) {
2610: PetscInt size, *closure = NULL;
2612: PetscCall(DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &size, &closure));
2613: for (PetscInt k = 0; k < 2 * size; k += 2) {
2614: PetscInt v = closure[k];
2615: if (v >= vStart && v < vEnd) {
2616: PetscInt vsize, *vclosure = NULL;
2618: cnt = 0;
2619: PetscCall(DMPlexGetTransitiveClosure(dm, v, PETSC_FALSE, &vsize, &vclosure));
2620: for (PetscInt vk = 0; vk < 2 * vsize; vk += 2) {
2621: PetscInt f = vclosure[vk];
2622: if (f >= fStart && f < fEnd) {
2623: PetscInt nc, ff;
2624: PetscBool valid = PETSC_FALSE;
2626: for (PetscInt fk = 0; fk < nf; fk++)
2627: if (f == cfaces[fk]) valid = PETSC_TRUE;
2628: if (!valid) continue;
2629: PetscCall(DMPlexGetSupportSize(dm, f, &nc));
2630: PetscCall(DMPlexGetTreeParent(dm, f, &ff, NULL));
2631: if (nc == 1 && f == ff) cnt++;
2632: }
2633: }
2634: if (cnt >= mcnt) PetscCall(PetscBTSet(btvc, v - pStart));
2635: PetscCall(DMPlexRestoreTransitiveClosure(dm, v, PETSC_FALSE, &vsize, &vclosure));
2636: }
2637: }
2638: PetscCall(DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &size, &closure));
2639: }
2640: PetscCall(DMRestoreWorkArray(dm, nf, MPIU_INT, &cfaces));
2641: }
2642: }
2644: cids[0] = 0;
2645: for (i = 0, cump = 0, cum = 0; i < graph->ncc; i++) {
2646: PetscInt j;
2648: PetscCall(PetscBTMemzero(A->rmap->n, btvt));
2649: for (j = graph->cptr[i]; j < graph->cptr[i + 1]; j++) {
2650: PetscInt k, size, *closure = NULL, cell = graph->queue[j];
2652: PetscCall(DMPlexGetTransitiveClosure(dm, cell, PETSC_TRUE, &size, &closure));
2653: for (k = 0; k < 2 * size; k += 2) {
2654: PetscInt s, pp, p = closure[k], off, dof, cdof;
2656: PetscCall(PetscSectionGetConstraintDof(subSection, p, &cdof));
2657: PetscCall(PetscSectionGetOffset(subSection, p, &off));
2658: PetscCall(PetscSectionGetDof(subSection, p, &dof));
2659: for (s = 0; s < dof - cdof; s++) {
2660: if (PetscBTLookupSet(btvt, off + s)) continue;
2661: if (PetscBTLookup(btvc, p - pStart)) pids[cump++] = off + s; /* subdomain corner */
2662: else if (!PetscBTLookup(btv, off + s)) ids[cum++] = off + s;
2663: else pids[cump++] = off + s; /* cross-vertex */
2664: }
2665: PetscCall(DMPlexGetTreeParent(dm, p, &pp, NULL));
2666: if (pp != p) {
2667: PetscCall(PetscSectionGetConstraintDof(subSection, pp, &cdof));
2668: PetscCall(PetscSectionGetOffset(subSection, pp, &off));
2669: PetscCall(PetscSectionGetDof(subSection, pp, &dof));
2670: for (s = 0; s < dof - cdof; s++) {
2671: if (PetscBTLookupSet(btvt, off + s)) continue;
2672: if (PetscBTLookup(btvc, pp - pStart)) pids[cump++] = off + s; /* subdomain corner */
2673: else if (!PetscBTLookup(btv, off + s)) ids[cum++] = off + s;
2674: else pids[cump++] = off + s; /* cross-vertex */
2675: }
2676: }
2677: }
2678: PetscCall(DMPlexRestoreTransitiveClosure(dm, cell, PETSC_TRUE, &size, &closure));
2679: }
2680: cids[i + 1] = cum;
2681: /* mark dofs as already assigned */
2682: for (j = cids[i]; j < cids[i + 1]; j++) PetscCall(PetscBTSet(btv, ids[j]));
2683: }
2684: if (cc) {
2685: PetscCall(PetscMalloc1(graph->ncc, &cc_n));
2686: 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]));
2687: *cc = cc_n;
2688: }
2689: if (primalv) PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), cump, pids, PETSC_COPY_VALUES, primalv));
2690: PetscCall(PetscFree3(ids, cids, pids));
2691: PetscCall(PetscBTDestroy(&btv));
2692: PetscCall(PetscBTDestroy(&btvt));
2693: PetscCall(PetscBTDestroy(&btvc));
2694: PetscCall(DMDestroy(&dm));
2695: }
2696: } else {
2697: if (ncc) *ncc = graph->ncc;
2698: if (cc) {
2699: PetscCall(PetscMalloc1(graph->ncc, &cc_n));
2700: 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]));
2701: *cc = cc_n;
2702: }
2703: }
2704: /* clean up graph */
2705: graph->xadj = NULL;
2706: graph->adjncy = NULL;
2707: PetscCall(PCBDDCGraphDestroy(&graph));
2708: PetscFunctionReturn(PETSC_SUCCESS);
2709: }
2711: PetscErrorCode PCBDDCBenignCheck(PC pc, IS zerodiag)
2712: {
2713: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2714: PC_IS *pcis = (PC_IS *)pc->data;
2715: IS dirIS = NULL;
2716: PetscInt i;
2718: PetscFunctionBegin;
2719: PetscCall(PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph, &dirIS));
2720: if (zerodiag) {
2721: Mat A;
2722: Vec vec3_N;
2723: PetscScalar *vals;
2724: const PetscInt *idxs;
2725: PetscInt nz, *count;
2727: /* p0 */
2728: PetscCall(VecSet(pcis->vec1_N, 0.));
2729: PetscCall(PetscMalloc1(pcis->n, &vals));
2730: PetscCall(ISGetLocalSize(zerodiag, &nz));
2731: PetscCall(ISGetIndices(zerodiag, &idxs));
2732: for (i = 0; i < nz; i++) vals[i] = 1.;
2733: PetscCall(VecSetValues(pcis->vec1_N, nz, idxs, vals, INSERT_VALUES));
2734: PetscCall(VecAssemblyBegin(pcis->vec1_N));
2735: PetscCall(VecAssemblyEnd(pcis->vec1_N));
2736: /* v_I */
2737: PetscCall(VecSetRandom(pcis->vec2_N, NULL));
2738: for (i = 0; i < nz; i++) vals[i] = 0.;
2739: PetscCall(VecSetValues(pcis->vec2_N, nz, idxs, vals, INSERT_VALUES));
2740: PetscCall(ISRestoreIndices(zerodiag, &idxs));
2741: PetscCall(ISGetIndices(pcis->is_B_local, &idxs));
2742: for (i = 0; i < pcis->n_B; i++) vals[i] = 0.;
2743: PetscCall(VecSetValues(pcis->vec2_N, pcis->n_B, idxs, vals, INSERT_VALUES));
2744: PetscCall(ISRestoreIndices(pcis->is_B_local, &idxs));
2745: if (dirIS) {
2746: PetscInt n;
2748: PetscCall(ISGetLocalSize(dirIS, &n));
2749: PetscCall(ISGetIndices(dirIS, &idxs));
2750: for (i = 0; i < n; i++) vals[i] = 0.;
2751: PetscCall(VecSetValues(pcis->vec2_N, n, idxs, vals, INSERT_VALUES));
2752: PetscCall(ISRestoreIndices(dirIS, &idxs));
2753: }
2754: PetscCall(VecAssemblyBegin(pcis->vec2_N));
2755: PetscCall(VecAssemblyEnd(pcis->vec2_N));
2756: PetscCall(VecDuplicate(pcis->vec1_N, &vec3_N));
2757: PetscCall(VecSet(vec3_N, 0.));
2758: PetscCall(MatISGetLocalMat(pc->pmat, &A));
2759: PetscCall(MatMult(A, pcis->vec1_N, vec3_N));
2760: PetscCall(VecDot(vec3_N, pcis->vec2_N, &vals[0]));
2761: 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]));
2762: PetscCall(PetscFree(vals));
2763: PetscCall(VecDestroy(&vec3_N));
2765: /* there should not be any pressure dofs lying on the interface */
2766: PetscCall(PetscCalloc1(pcis->n, &count));
2767: PetscCall(ISGetIndices(pcis->is_B_local, &idxs));
2768: for (i = 0; i < pcis->n_B; i++) count[idxs[i]]++;
2769: PetscCall(ISRestoreIndices(pcis->is_B_local, &idxs));
2770: PetscCall(ISGetIndices(zerodiag, &idxs));
2771: 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]);
2772: PetscCall(ISRestoreIndices(zerodiag, &idxs));
2773: PetscCall(PetscFree(count));
2774: }
2775: PetscCall(ISDestroy(&dirIS));
2777: /* check PCBDDCBenignGetOrSetP0 */
2778: PetscCall(VecSetRandom(pcis->vec1_global, NULL));
2779: for (i = 0; i < pcbddc->benign_n; i++) pcbddc->benign_p0[i] = -PetscGlobalRank - i;
2780: PetscCall(PCBDDCBenignGetOrSetP0(pc, pcis->vec1_global, PETSC_FALSE));
2781: for (i = 0; i < pcbddc->benign_n; i++) pcbddc->benign_p0[i] = 1;
2782: PetscCall(PCBDDCBenignGetOrSetP0(pc, pcis->vec1_global, PETSC_TRUE));
2783: for (i = 0; i < pcbddc->benign_n; i++) {
2784: PetscInt val = PetscRealPart(pcbddc->benign_p0[i]);
2785: 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));
2786: }
2787: PetscFunctionReturn(PETSC_SUCCESS);
2788: }
2790: PetscErrorCode PCBDDCBenignDetectSaddlePoint(PC pc, PetscBool reuse, IS *zerodiaglocal)
2791: {
2792: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2793: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
2794: IS pressures = NULL, zerodiag = NULL, *bzerodiag = NULL, zerodiag_save, *zerodiag_subs;
2795: PetscInt nz, n, benign_n, bsp = 1;
2796: PetscInt *interior_dofs, n_interior_dofs, nneu;
2797: PetscBool sorted, have_null, has_null_pressures, recompute_zerodiag, checkb;
2799: PetscFunctionBegin;
2800: if (reuse) goto project_b0;
2801: PetscCall(PetscSFDestroy(&pcbddc->benign_sf));
2802: PetscCall(MatDestroy(&pcbddc->benign_B0));
2803: for (n = 0; n < pcbddc->benign_n; n++) PetscCall(ISDestroy(&pcbddc->benign_zerodiag_subs[n]));
2804: PetscCall(PetscFree(pcbddc->benign_zerodiag_subs));
2805: has_null_pressures = PETSC_TRUE;
2806: have_null = PETSC_TRUE;
2807: /* if a local information on dofs is present, gets pressure dofs from command line (uses the last field is not provided)
2808: Without local information, it uses only the zerodiagonal dofs (ok if the pressure block is all zero and it is a scalar field)
2809: Checks if all the pressure dofs in each subdomain have a zero diagonal
2810: If not, a change of basis on pressures is not needed
2811: since the local Schur complements are already SPD
2812: */
2813: if (pcbddc->n_ISForDofsLocal) {
2814: IS iP = NULL;
2815: PetscInt p, *pp;
2816: PetscBool flg, blocked = PETSC_FALSE;
2818: PetscCall(PetscMalloc1(pcbddc->n_ISForDofsLocal, &pp));
2819: n = pcbddc->n_ISForDofsLocal;
2820: PetscOptionsBegin(PetscObjectComm((PetscObject)pc), ((PetscObject)pc)->prefix, "BDDC benign options", "PC");
2821: PetscCall(PetscOptionsIntArray("-pc_bddc_pressure_field", "Field id for pressures", NULL, pp, &n, &flg));
2822: PetscCall(PetscOptionsBool("-pc_bddc_pressure_blocked", "Use blocked pressure fields", NULL, blocked, &blocked, NULL));
2823: PetscOptionsEnd();
2824: if (!flg) {
2825: n = 1;
2826: pp[0] = pcbddc->n_ISForDofsLocal - 1;
2827: }
2829: bsp = 0;
2830: for (p = 0; p < n; p++) {
2831: PetscInt bs = 1;
2833: PetscCheck(pp[p] >= 0 && pp[p] < pcbddc->n_ISForDofsLocal, PetscObjectComm((PetscObject)pc), PETSC_ERR_USER, "Invalid field id for pressures %" PetscInt_FMT, pp[p]);
2834: if (blocked) PetscCall(ISGetBlockSize(pcbddc->ISForDofsLocal[pp[p]], &bs));
2835: bsp += bs;
2836: }
2837: PetscCall(PetscMalloc1(bsp, &bzerodiag));
2838: bsp = 0;
2839: for (p = 0; p < n; p++) {
2840: const PetscInt *idxs;
2841: PetscInt b, bs = 1, npl, *bidxs;
2843: if (blocked) PetscCall(ISGetBlockSize(pcbddc->ISForDofsLocal[pp[p]], &bs));
2844: PetscCall(ISGetLocalSize(pcbddc->ISForDofsLocal[pp[p]], &npl));
2845: PetscCall(ISGetIndices(pcbddc->ISForDofsLocal[pp[p]], &idxs));
2846: PetscCall(PetscMalloc1(npl / bs, &bidxs));
2847: for (b = 0; b < bs; b++) {
2848: PetscInt i;
2850: for (i = 0; i < npl / bs; i++) bidxs[i] = idxs[bs * i + b];
2851: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, npl / bs, bidxs, PETSC_COPY_VALUES, &bzerodiag[bsp]));
2852: bsp++;
2853: }
2854: PetscCall(PetscFree(bidxs));
2855: PetscCall(ISRestoreIndices(pcbddc->ISForDofsLocal[pp[p]], &idxs));
2856: }
2857: PetscCall(ISConcatenate(PETSC_COMM_SELF, bsp, bzerodiag, &pressures));
2859: /* remove zeroed out pressures if we are setting up a BDDC solver for a saddle-point FETI-DP */
2860: PetscCall(PetscObjectQuery((PetscObject)pc, "__KSPFETIDP_lP", (PetscObject *)&iP));
2861: if (iP) {
2862: IS newpressures;
2864: PetscCall(ISDifference(pressures, iP, &newpressures));
2865: PetscCall(ISDestroy(&pressures));
2866: pressures = newpressures;
2867: }
2868: PetscCall(ISSorted(pressures, &sorted));
2869: if (!sorted) PetscCall(ISSort(pressures));
2870: PetscCall(PetscFree(pp));
2871: }
2873: /* pcis has not been setup yet, so get the local size from the subdomain matrix */
2874: PetscCall(MatGetLocalSize(pcbddc->local_mat, &n, NULL));
2875: if (!n) pcbddc->benign_change_explicit = PETSC_TRUE;
2876: PetscCall(MatFindZeroDiagonals(pcbddc->local_mat, &zerodiag));
2877: PetscCall(ISSorted(zerodiag, &sorted));
2878: if (!sorted) PetscCall(ISSort(zerodiag));
2879: PetscCall(PetscObjectReference((PetscObject)zerodiag));
2880: zerodiag_save = zerodiag;
2881: PetscCall(ISGetLocalSize(zerodiag, &nz));
2882: if (!nz) {
2883: if (n) have_null = PETSC_FALSE;
2884: has_null_pressures = PETSC_FALSE;
2885: PetscCall(ISDestroy(&zerodiag));
2886: }
2887: recompute_zerodiag = PETSC_FALSE;
2889: /* in case disconnected subdomains info is present, split the pressures accordingly (otherwise the benign trick could fail) */
2890: zerodiag_subs = NULL;
2891: benign_n = 0;
2892: n_interior_dofs = 0;
2893: interior_dofs = NULL;
2894: nneu = 0;
2895: if (pcbddc->NeumannBoundariesLocal) PetscCall(ISGetLocalSize(pcbddc->NeumannBoundariesLocal, &nneu));
2896: checkb = (PetscBool)(!pcbddc->NeumannBoundariesLocal || pcbddc->current_level);
2897: if (checkb) { /* need to compute interior nodes */
2898: PetscInt n, i;
2899: PetscInt *count;
2900: ISLocalToGlobalMapping mapping;
2902: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &mapping, NULL));
2903: PetscCall(ISLocalToGlobalMappingGetNodeInfo(mapping, &n, &count, NULL));
2904: PetscCall(PetscMalloc1(n, &interior_dofs));
2905: for (i = 0; i < n; i++)
2906: if (count[i] < 2) interior_dofs[n_interior_dofs++] = i;
2907: PetscCall(ISLocalToGlobalMappingRestoreNodeInfo(mapping, &n, &count, NULL));
2908: }
2909: if (has_null_pressures) {
2910: IS *subs;
2911: PetscInt nsubs, i, j, nl;
2912: const PetscInt *idxs;
2913: PetscScalar *array;
2914: Vec *work;
2916: subs = pcbddc->local_subs;
2917: nsubs = pcbddc->n_local_subs;
2918: /* 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) */
2919: if (checkb) {
2920: PetscCall(VecDuplicateVecs(matis->y, 2, &work));
2921: PetscCall(ISGetLocalSize(zerodiag, &nl));
2922: PetscCall(ISGetIndices(zerodiag, &idxs));
2923: /* work[0] = 1_p */
2924: PetscCall(VecSet(work[0], 0.));
2925: PetscCall(VecGetArray(work[0], &array));
2926: for (j = 0; j < nl; j++) array[idxs[j]] = 1.;
2927: PetscCall(VecRestoreArray(work[0], &array));
2928: /* work[0] = 1_v */
2929: PetscCall(VecSet(work[1], 1.));
2930: PetscCall(VecGetArray(work[1], &array));
2931: for (j = 0; j < nl; j++) array[idxs[j]] = 0.;
2932: PetscCall(VecRestoreArray(work[1], &array));
2933: PetscCall(ISRestoreIndices(zerodiag, &idxs));
2934: }
2936: if (nsubs > 1 || bsp > 1) {
2937: IS *is;
2938: PetscInt b, totb;
2940: totb = bsp;
2941: is = bsp > 1 ? bzerodiag : &zerodiag;
2942: nsubs = PetscMax(nsubs, 1);
2943: PetscCall(PetscCalloc1(nsubs * totb, &zerodiag_subs));
2944: for (b = 0; b < totb; b++) {
2945: for (i = 0; i < nsubs; i++) {
2946: ISLocalToGlobalMapping l2g;
2947: IS t_zerodiag_subs;
2948: PetscInt nl;
2950: if (subs) {
2951: PetscCall(ISLocalToGlobalMappingCreateIS(subs[i], &l2g));
2952: } else {
2953: IS tis;
2955: PetscCall(MatGetLocalSize(pcbddc->local_mat, &nl, NULL));
2956: PetscCall(ISCreateStride(PETSC_COMM_SELF, nl, 0, 1, &tis));
2957: PetscCall(ISLocalToGlobalMappingCreateIS(tis, &l2g));
2958: PetscCall(ISDestroy(&tis));
2959: }
2960: PetscCall(ISGlobalToLocalMappingApplyIS(l2g, IS_GTOLM_DROP, is[b], &t_zerodiag_subs));
2961: PetscCall(ISGetLocalSize(t_zerodiag_subs, &nl));
2962: if (nl) {
2963: PetscBool valid = PETSC_TRUE;
2965: if (checkb) {
2966: PetscCall(VecSet(matis->x, 0));
2967: PetscCall(ISGetLocalSize(subs[i], &nl));
2968: PetscCall(ISGetIndices(subs[i], &idxs));
2969: PetscCall(VecGetArray(matis->x, &array));
2970: for (j = 0; j < nl; j++) array[idxs[j]] = 1.;
2971: PetscCall(VecRestoreArray(matis->x, &array));
2972: PetscCall(ISRestoreIndices(subs[i], &idxs));
2973: PetscCall(VecPointwiseMult(matis->x, work[0], matis->x));
2974: PetscCall(MatMult(matis->A, matis->x, matis->y));
2975: PetscCall(VecPointwiseMult(matis->y, work[1], matis->y));
2976: PetscCall(VecGetArray(matis->y, &array));
2977: for (j = 0; j < n_interior_dofs; j++) {
2978: if (PetscAbsScalar(array[interior_dofs[j]]) > PETSC_SMALL) {
2979: valid = PETSC_FALSE;
2980: break;
2981: }
2982: }
2983: PetscCall(VecRestoreArray(matis->y, &array));
2984: }
2985: if (valid && nneu) {
2986: const PetscInt *idxs;
2987: PetscInt nzb;
2989: PetscCall(ISGetIndices(pcbddc->NeumannBoundariesLocal, &idxs));
2990: PetscCall(ISGlobalToLocalMappingApply(l2g, IS_GTOLM_DROP, nneu, idxs, &nzb, NULL));
2991: PetscCall(ISRestoreIndices(pcbddc->NeumannBoundariesLocal, &idxs));
2992: if (nzb) valid = PETSC_FALSE;
2993: }
2994: if (valid && pressures) {
2995: IS t_pressure_subs, tmp;
2996: PetscInt i1, i2;
2998: PetscCall(ISGlobalToLocalMappingApplyIS(l2g, IS_GTOLM_DROP, pressures, &t_pressure_subs));
2999: PetscCall(ISEmbed(t_zerodiag_subs, t_pressure_subs, PETSC_TRUE, &tmp));
3000: PetscCall(ISGetLocalSize(tmp, &i1));
3001: PetscCall(ISGetLocalSize(t_zerodiag_subs, &i2));
3002: if (i2 != i1) valid = PETSC_FALSE;
3003: PetscCall(ISDestroy(&t_pressure_subs));
3004: PetscCall(ISDestroy(&tmp));
3005: }
3006: if (valid) {
3007: PetscCall(ISLocalToGlobalMappingApplyIS(l2g, t_zerodiag_subs, &zerodiag_subs[benign_n]));
3008: benign_n++;
3009: } else recompute_zerodiag = PETSC_TRUE;
3010: }
3011: PetscCall(ISDestroy(&t_zerodiag_subs));
3012: PetscCall(ISLocalToGlobalMappingDestroy(&l2g));
3013: }
3014: }
3015: } else { /* there's just one subdomain (or zero if they have not been detected */
3016: PetscBool valid = PETSC_TRUE;
3018: if (nneu) valid = PETSC_FALSE;
3019: if (valid && pressures) PetscCall(ISEqual(pressures, zerodiag, &valid));
3020: if (valid && checkb) {
3021: PetscCall(MatMult(matis->A, work[0], matis->x));
3022: PetscCall(VecPointwiseMult(matis->x, work[1], matis->x));
3023: PetscCall(VecGetArray(matis->x, &array));
3024: for (j = 0; j < n_interior_dofs; j++) {
3025: if (PetscAbsScalar(array[interior_dofs[j]]) > PETSC_SMALL) {
3026: valid = PETSC_FALSE;
3027: break;
3028: }
3029: }
3030: PetscCall(VecRestoreArray(matis->x, &array));
3031: }
3032: if (valid) {
3033: benign_n = 1;
3034: PetscCall(PetscMalloc1(benign_n, &zerodiag_subs));
3035: PetscCall(PetscObjectReference((PetscObject)zerodiag));
3036: zerodiag_subs[0] = zerodiag;
3037: }
3038: }
3039: if (checkb) PetscCall(VecDestroyVecs(2, &work));
3040: }
3041: PetscCall(PetscFree(interior_dofs));
3043: if (!benign_n) {
3044: PetscInt n;
3046: PetscCall(ISDestroy(&zerodiag));
3047: recompute_zerodiag = PETSC_FALSE;
3048: PetscCall(MatGetLocalSize(pcbddc->local_mat, &n, NULL));
3049: if (n) have_null = PETSC_FALSE;
3050: }
3052: /* final check for null pressures */
3053: if (zerodiag && pressures) PetscCall(ISEqual(pressures, zerodiag, &have_null));
3055: if (recompute_zerodiag) {
3056: PetscCall(ISDestroy(&zerodiag));
3057: if (benign_n == 1) {
3058: PetscCall(PetscObjectReference((PetscObject)zerodiag_subs[0]));
3059: zerodiag = zerodiag_subs[0];
3060: } else {
3061: PetscInt i, nzn, *new_idxs;
3063: nzn = 0;
3064: for (i = 0; i < benign_n; i++) {
3065: PetscInt ns;
3066: PetscCall(ISGetLocalSize(zerodiag_subs[i], &ns));
3067: nzn += ns;
3068: }
3069: PetscCall(PetscMalloc1(nzn, &new_idxs));
3070: nzn = 0;
3071: for (i = 0; i < benign_n; i++) {
3072: PetscInt ns, *idxs;
3073: PetscCall(ISGetLocalSize(zerodiag_subs[i], &ns));
3074: PetscCall(ISGetIndices(zerodiag_subs[i], (const PetscInt **)&idxs));
3075: PetscCall(PetscArraycpy(new_idxs + nzn, idxs, ns));
3076: PetscCall(ISRestoreIndices(zerodiag_subs[i], (const PetscInt **)&idxs));
3077: nzn += ns;
3078: }
3079: PetscCall(PetscSortInt(nzn, new_idxs));
3080: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, nzn, new_idxs, PETSC_OWN_POINTER, &zerodiag));
3081: }
3082: have_null = PETSC_FALSE;
3083: }
3085: /* determines if the coarse solver will be singular or not */
3086: PetscCallMPI(MPIU_Allreduce(&have_null, &pcbddc->benign_null, 1, MPI_C_BOOL, MPI_LAND, PetscObjectComm((PetscObject)pc)));
3088: /* Prepare matrix to compute no-net-flux */
3089: if (pcbddc->compute_nonetflux && !pcbddc->divudotp) {
3090: Mat A, loc_divudotp;
3091: ISLocalToGlobalMapping rl2g, cl2g, l2gmap;
3092: IS row, col, isused = NULL;
3093: PetscInt M, N, n, st, n_isused;
3095: if (pressures) {
3096: isused = pressures;
3097: } else {
3098: isused = zerodiag_save;
3099: }
3100: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &l2gmap, NULL));
3101: PetscCall(MatISGetLocalMat(pc->pmat, &A));
3102: PetscCall(MatGetLocalSize(A, &n, NULL));
3103: 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");
3104: n_isused = 0;
3105: if (isused) PetscCall(ISGetLocalSize(isused, &n_isused));
3106: PetscCallMPI(MPI_Scan(&n_isused, &st, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)pc)));
3107: st = st - n_isused;
3108: if (n) {
3109: const PetscInt *gidxs;
3111: PetscCall(MatCreateSubMatrix(A, isused, NULL, MAT_INITIAL_MATRIX, &loc_divudotp));
3112: PetscCall(ISLocalToGlobalMappingGetIndices(l2gmap, &gidxs));
3113: /* TODO: extend ISCreateStride with st = PETSC_DECIDE */
3114: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), n_isused, st, 1, &row));
3115: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), n, gidxs, PETSC_COPY_VALUES, &col));
3116: PetscCall(ISLocalToGlobalMappingRestoreIndices(l2gmap, &gidxs));
3117: } else {
3118: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, 0, 0, 1, NULL, &loc_divudotp));
3119: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), n_isused, st, 1, &row));
3120: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), 0, NULL, PETSC_COPY_VALUES, &col));
3121: }
3122: PetscCall(MatGetSize(pc->pmat, NULL, &N));
3123: PetscCall(ISGetSize(row, &M));
3124: PetscCall(ISLocalToGlobalMappingCreateIS(row, &rl2g));
3125: PetscCall(ISLocalToGlobalMappingCreateIS(col, &cl2g));
3126: PetscCall(ISDestroy(&row));
3127: PetscCall(ISDestroy(&col));
3128: PetscCall(MatCreate(PetscObjectComm((PetscObject)pc), &pcbddc->divudotp));
3129: PetscCall(MatSetType(pcbddc->divudotp, MATIS));
3130: PetscCall(MatSetSizes(pcbddc->divudotp, PETSC_DECIDE, PETSC_DECIDE, M, N));
3131: PetscCall(MatSetLocalToGlobalMapping(pcbddc->divudotp, rl2g, cl2g));
3132: PetscCall(ISLocalToGlobalMappingDestroy(&rl2g));
3133: PetscCall(ISLocalToGlobalMappingDestroy(&cl2g));
3134: PetscCall(MatISSetLocalMat(pcbddc->divudotp, loc_divudotp));
3135: PetscCall(MatDestroy(&loc_divudotp));
3136: PetscCall(MatAssemblyBegin(pcbddc->divudotp, MAT_FINAL_ASSEMBLY));
3137: PetscCall(MatAssemblyEnd(pcbddc->divudotp, MAT_FINAL_ASSEMBLY));
3138: }
3139: PetscCall(ISDestroy(&zerodiag_save));
3140: PetscCall(ISDestroy(&pressures));
3141: if (bzerodiag) {
3142: PetscInt i;
3144: for (i = 0; i < bsp; i++) PetscCall(ISDestroy(&bzerodiag[i]));
3145: PetscCall(PetscFree(bzerodiag));
3146: }
3147: pcbddc->benign_n = benign_n;
3148: pcbddc->benign_zerodiag_subs = zerodiag_subs;
3150: /* determines if the problem has subdomains with 0 pressure block */
3151: have_null = (PetscBool)(!!pcbddc->benign_n);
3152: PetscCallMPI(MPIU_Allreduce(&have_null, &pcbddc->benign_have_null, 1, MPI_C_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
3154: project_b0:
3155: PetscCall(MatGetLocalSize(pcbddc->local_mat, &n, NULL));
3156: /* change of basis and p0 dofs */
3157: if (pcbddc->benign_n) {
3158: PetscInt i, s, *nnz;
3160: /* local change of basis for pressures */
3161: PetscCall(MatDestroy(&pcbddc->benign_change));
3162: PetscCall(MatCreate(PetscObjectComm((PetscObject)pcbddc->local_mat), &pcbddc->benign_change));
3163: PetscCall(MatSetType(pcbddc->benign_change, MATAIJ));
3164: PetscCall(MatSetSizes(pcbddc->benign_change, n, n, PETSC_DECIDE, PETSC_DECIDE));
3165: PetscCall(PetscMalloc1(n, &nnz));
3166: for (i = 0; i < n; i++) nnz[i] = 1; /* defaults to identity */
3167: for (i = 0; i < pcbddc->benign_n; i++) {
3168: const PetscInt *idxs;
3169: PetscInt nzs, j;
3171: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[i], &nzs));
3172: PetscCall(ISGetIndices(pcbddc->benign_zerodiag_subs[i], &idxs));
3173: for (j = 0; j < nzs - 1; j++) nnz[idxs[j]] = 2; /* change on pressures */
3174: nnz[idxs[nzs - 1]] = nzs; /* last local pressure dof in subdomain */
3175: PetscCall(ISRestoreIndices(pcbddc->benign_zerodiag_subs[i], &idxs));
3176: }
3177: PetscCall(MatSeqAIJSetPreallocation(pcbddc->benign_change, 0, nnz));
3178: PetscCall(MatSetOption(pcbddc->benign_change, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
3179: PetscCall(PetscFree(nnz));
3180: /* set identity by default */
3181: for (i = 0; i < n; i++) PetscCall(MatSetValue(pcbddc->benign_change, i, i, 1., INSERT_VALUES));
3182: PetscCall(PetscFree3(pcbddc->benign_p0_lidx, pcbddc->benign_p0_gidx, pcbddc->benign_p0));
3183: PetscCall(PetscMalloc3(pcbddc->benign_n, &pcbddc->benign_p0_lidx, pcbddc->benign_n, &pcbddc->benign_p0_gidx, pcbddc->benign_n, &pcbddc->benign_p0));
3184: /* set change on pressures */
3185: for (s = 0; s < pcbddc->benign_n; s++) {
3186: PetscScalar *array;
3187: const PetscInt *idxs;
3188: PetscInt nzs;
3190: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[s], &nzs));
3191: PetscCall(ISGetIndices(pcbddc->benign_zerodiag_subs[s], &idxs));
3192: for (i = 0; i < nzs - 1; i++) {
3193: PetscScalar vals[2];
3194: PetscInt cols[2];
3196: cols[0] = idxs[i];
3197: cols[1] = idxs[nzs - 1];
3198: vals[0] = 1.;
3199: vals[1] = 1.;
3200: PetscCall(MatSetValues(pcbddc->benign_change, 1, cols, 2, cols, vals, INSERT_VALUES));
3201: }
3202: PetscCall(PetscMalloc1(nzs, &array));
3203: for (i = 0; i < nzs - 1; i++) array[i] = -1.;
3204: array[nzs - 1] = 1.;
3205: PetscCall(MatSetValues(pcbddc->benign_change, 1, idxs + nzs - 1, nzs, idxs, array, INSERT_VALUES));
3206: /* store local idxs for p0 */
3207: pcbddc->benign_p0_lidx[s] = idxs[nzs - 1];
3208: PetscCall(ISRestoreIndices(pcbddc->benign_zerodiag_subs[s], &idxs));
3209: PetscCall(PetscFree(array));
3210: }
3211: PetscCall(MatAssemblyBegin(pcbddc->benign_change, MAT_FINAL_ASSEMBLY));
3212: PetscCall(MatAssemblyEnd(pcbddc->benign_change, MAT_FINAL_ASSEMBLY));
3214: /* project if needed */
3215: if (pcbddc->benign_change_explicit) {
3216: Mat M;
3218: PetscCall(MatPtAP(pcbddc->local_mat, pcbddc->benign_change, MAT_INITIAL_MATRIX, 2.0, &M));
3219: PetscCall(MatDestroy(&pcbddc->local_mat));
3220: PetscCall(MatSeqAIJCompress(M, &pcbddc->local_mat));
3221: PetscCall(MatDestroy(&M));
3222: }
3223: /* store global idxs for p0 */
3224: PetscCall(ISLocalToGlobalMappingApply(matis->rmapping, pcbddc->benign_n, pcbddc->benign_p0_lidx, pcbddc->benign_p0_gidx));
3225: }
3226: *zerodiaglocal = zerodiag;
3227: PetscFunctionReturn(PETSC_SUCCESS);
3228: }
3230: PetscErrorCode PCBDDCBenignGetOrSetP0(PC pc, Vec v, PetscBool get)
3231: {
3232: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3233: PetscScalar *array;
3235: PetscFunctionBegin;
3236: if (!pcbddc->benign_sf) {
3237: PetscCall(PetscSFCreate(PetscObjectComm((PetscObject)pc), &pcbddc->benign_sf));
3238: PetscCall(PetscSFSetGraphLayout(pcbddc->benign_sf, pc->pmat->rmap, pcbddc->benign_n, NULL, PETSC_OWN_POINTER, pcbddc->benign_p0_gidx));
3239: }
3240: if (get) {
3241: PetscCall(VecGetArrayRead(v, (const PetscScalar **)&array));
3242: PetscCall(PetscSFBcastBegin(pcbddc->benign_sf, MPIU_SCALAR, array, pcbddc->benign_p0, MPI_REPLACE));
3243: PetscCall(PetscSFBcastEnd(pcbddc->benign_sf, MPIU_SCALAR, array, pcbddc->benign_p0, MPI_REPLACE));
3244: PetscCall(VecRestoreArrayRead(v, (const PetscScalar **)&array));
3245: } else {
3246: PetscCall(VecGetArray(v, &array));
3247: PetscCall(PetscSFReduceBegin(pcbddc->benign_sf, MPIU_SCALAR, pcbddc->benign_p0, array, MPI_REPLACE));
3248: PetscCall(PetscSFReduceEnd(pcbddc->benign_sf, MPIU_SCALAR, pcbddc->benign_p0, array, MPI_REPLACE));
3249: PetscCall(VecRestoreArray(v, &array));
3250: }
3251: PetscFunctionReturn(PETSC_SUCCESS);
3252: }
3254: PetscErrorCode PCBDDCBenignPopOrPushB0(PC pc, PetscBool pop)
3255: {
3256: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3258: PetscFunctionBegin;
3259: /* TODO: add error checking
3260: - avoid nested pop (or push) calls.
3261: - cannot push before pop.
3262: - cannot call this if pcbddc->local_mat is NULL
3263: */
3264: if (!pcbddc->benign_n) PetscFunctionReturn(PETSC_SUCCESS);
3265: if (pop) {
3266: if (pcbddc->benign_change_explicit) {
3267: IS is_p0;
3268: MatReuse reuse;
3270: /* extract B_0 */
3271: reuse = MAT_INITIAL_MATRIX;
3272: if (pcbddc->benign_B0) reuse = MAT_REUSE_MATRIX;
3273: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, pcbddc->benign_n, pcbddc->benign_p0_lidx, PETSC_COPY_VALUES, &is_p0));
3274: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, is_p0, NULL, reuse, &pcbddc->benign_B0));
3275: /* remove rows and cols from local problem */
3276: PetscCall(MatSetOption(pcbddc->local_mat, MAT_KEEP_NONZERO_PATTERN, PETSC_TRUE));
3277: PetscCall(MatSetOption(pcbddc->local_mat, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_FALSE));
3278: PetscCall(MatZeroRowsColumnsIS(pcbddc->local_mat, is_p0, 1.0, NULL, NULL));
3279: PetscCall(ISDestroy(&is_p0));
3280: } else {
3281: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
3282: PetscScalar *vals;
3283: PetscInt i, n, *idxs_ins;
3285: PetscCall(VecGetLocalSize(matis->y, &n));
3286: PetscCall(PetscMalloc2(n, &idxs_ins, n, &vals));
3287: if (!pcbddc->benign_B0) {
3288: PetscInt *nnz;
3289: PetscCall(MatCreate(PetscObjectComm((PetscObject)pcbddc->local_mat), &pcbddc->benign_B0));
3290: PetscCall(MatSetType(pcbddc->benign_B0, MATAIJ));
3291: PetscCall(MatSetSizes(pcbddc->benign_B0, pcbddc->benign_n, n, PETSC_DECIDE, PETSC_DECIDE));
3292: PetscCall(PetscMalloc1(pcbddc->benign_n, &nnz));
3293: for (i = 0; i < pcbddc->benign_n; i++) {
3294: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[i], &nnz[i]));
3295: nnz[i] = n - nnz[i];
3296: }
3297: PetscCall(MatSeqAIJSetPreallocation(pcbddc->benign_B0, 0, nnz));
3298: PetscCall(MatSetOption(pcbddc->benign_B0, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
3299: PetscCall(PetscFree(nnz));
3300: }
3302: for (i = 0; i < pcbddc->benign_n; i++) {
3303: PetscScalar *array;
3304: PetscInt *idxs, j, nz, cum;
3306: PetscCall(VecSet(matis->x, 0.));
3307: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[i], &nz));
3308: PetscCall(ISGetIndices(pcbddc->benign_zerodiag_subs[i], (const PetscInt **)&idxs));
3309: for (j = 0; j < nz; j++) vals[j] = 1.;
3310: PetscCall(VecSetValues(matis->x, nz, idxs, vals, INSERT_VALUES));
3311: PetscCall(VecAssemblyBegin(matis->x));
3312: PetscCall(VecAssemblyEnd(matis->x));
3313: PetscCall(VecSet(matis->y, 0.));
3314: PetscCall(MatMult(matis->A, matis->x, matis->y));
3315: PetscCall(VecGetArray(matis->y, &array));
3316: cum = 0;
3317: for (j = 0; j < n; j++) {
3318: if (PetscUnlikely(PetscAbsScalar(array[j]) > PETSC_SMALL)) {
3319: vals[cum] = array[j];
3320: idxs_ins[cum] = j;
3321: cum++;
3322: }
3323: }
3324: PetscCall(MatSetValues(pcbddc->benign_B0, 1, &i, cum, idxs_ins, vals, INSERT_VALUES));
3325: PetscCall(VecRestoreArray(matis->y, &array));
3326: PetscCall(ISRestoreIndices(pcbddc->benign_zerodiag_subs[i], (const PetscInt **)&idxs));
3327: }
3328: PetscCall(MatAssemblyBegin(pcbddc->benign_B0, MAT_FINAL_ASSEMBLY));
3329: PetscCall(MatAssemblyEnd(pcbddc->benign_B0, MAT_FINAL_ASSEMBLY));
3330: PetscCall(PetscFree2(idxs_ins, vals));
3331: }
3332: } else { /* push */
3334: PetscCheck(pcbddc->benign_change_explicit, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Cannot push B0!");
3335: for (PetscInt i = 0; i < pcbddc->benign_n; i++) {
3336: PetscScalar *B0_vals;
3337: PetscInt *B0_cols, B0_ncol;
3339: PetscCall(MatGetRow(pcbddc->benign_B0, i, &B0_ncol, (const PetscInt **)&B0_cols, (const PetscScalar **)&B0_vals));
3340: PetscCall(MatSetValues(pcbddc->local_mat, 1, pcbddc->benign_p0_lidx + i, B0_ncol, B0_cols, B0_vals, INSERT_VALUES));
3341: PetscCall(MatSetValues(pcbddc->local_mat, B0_ncol, B0_cols, 1, pcbddc->benign_p0_lidx + i, B0_vals, INSERT_VALUES));
3342: PetscCall(MatSetValue(pcbddc->local_mat, pcbddc->benign_p0_lidx[i], pcbddc->benign_p0_lidx[i], 0.0, INSERT_VALUES));
3343: PetscCall(MatRestoreRow(pcbddc->benign_B0, i, &B0_ncol, (const PetscInt **)&B0_cols, (const PetscScalar **)&B0_vals));
3344: }
3345: PetscCall(MatAssemblyBegin(pcbddc->local_mat, MAT_FINAL_ASSEMBLY));
3346: PetscCall(MatAssemblyEnd(pcbddc->local_mat, MAT_FINAL_ASSEMBLY));
3347: }
3348: PetscFunctionReturn(PETSC_SUCCESS);
3349: }
3351: PetscErrorCode PCBDDCAdaptiveSelection(PC pc)
3352: {
3353: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3354: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
3355: PetscBLASInt B_neigs, B_ierr, B_lwork;
3356: PetscBLASInt *B_iwork, *B_ifail;
3357: PetscScalar *work, lwork;
3358: PetscScalar *St, *S, *eigv;
3359: PetscScalar *Sarray, *Starray;
3360: PetscReal *eigs, thresh, lthresh, uthresh;
3361: PetscInt i, nmax, nmin, nv, cum, mss, cum2, cumarray, maxneigs;
3362: PetscBool allocated_S_St, upart;
3363: #if defined(PETSC_USE_COMPLEX)
3364: PetscReal *rwork;
3365: #endif
3367: PetscFunctionBegin;
3368: if (!pcbddc->adaptive_selection) PetscFunctionReturn(PETSC_SUCCESS);
3369: PetscCheck(sub_schurs, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Adaptive selection of constraints requires SubSchurs data");
3370: 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");
3371: 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,
3372: sub_schurs->is_posdef);
3373: PetscCall(PetscLogEventBegin(PC_BDDC_AdaptiveSetUp[pcbddc->current_level], pc, 0, 0, 0));
3375: if (pcbddc->dbg_flag) {
3376: if (!pcbddc->dbg_viewer) pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
3377: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
3378: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
3379: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Check adaptive selection of constraints\n"));
3380: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
3381: }
3383: 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));
3385: /* max size of subsets */
3386: mss = 0;
3387: for (i = 0; i < sub_schurs->n_subs; i++) {
3388: PetscInt subset_size;
3390: PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
3391: mss = PetscMax(mss, subset_size);
3392: }
3394: /* min/max and threshold */
3395: nmax = pcbddc->adaptive_nmax > 0 ? pcbddc->adaptive_nmax : mss;
3396: nmin = pcbddc->adaptive_nmin > 0 ? pcbddc->adaptive_nmin : 0;
3397: nmax = PetscMax(nmin, nmax);
3398: allocated_S_St = PETSC_FALSE;
3399: if (nmin || !sub_schurs->is_posdef) { /* XXX */
3400: allocated_S_St = PETSC_TRUE;
3401: }
3403: /* allocate lapack workspace */
3404: cum = cum2 = 0;
3405: maxneigs = 0;
3406: for (i = 0; i < sub_schurs->n_subs; i++) {
3407: PetscInt n, subset_size;
3409: PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
3410: n = PetscMin(subset_size, nmax);
3411: cum += subset_size;
3412: cum2 += subset_size * n;
3413: maxneigs = PetscMax(maxneigs, n);
3414: }
3415: lwork = 0;
3416: if (mss) {
3417: PetscScalar sdummy = 0.;
3418: PetscBLASInt B_itype = 1;
3419: PetscBLASInt B_N, idummy = 0;
3420: PetscReal rdummy = 0., zero = 0.0;
3421: PetscReal eps = 0.0; /* dlamch? */
3423: PetscCheck(sub_schurs->is_symmetric, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
3424: PetscCall(PetscBLASIntCast(mss, &B_N));
3425: B_lwork = -1;
3426: /* some implementations may complain about NULL pointers, even if we are querying */
3427: S = &sdummy;
3428: St = &sdummy;
3429: eigs = &rdummy;
3430: eigv = &sdummy;
3431: B_iwork = &idummy;
3432: B_ifail = &idummy;
3433: #if defined(PETSC_USE_COMPLEX)
3434: rwork = &rdummy;
3435: #endif
3436: thresh = 1.0;
3437: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
3438: #if defined(PETSC_USE_COMPLEX)
3439: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &zero, &thresh, B_iwork, B_iwork, &eps, &B_neigs, eigs, eigv, &B_N, &lwork, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3440: #else
3441: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &zero, &thresh, B_iwork, B_iwork, &eps, &B_neigs, eigs, eigv, &B_N, &lwork, &B_lwork, B_iwork, B_ifail, &B_ierr));
3442: #endif
3443: PetscCheck(B_ierr == 0, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to SYGVX Lapack routine %" PetscBLASInt_FMT, B_ierr);
3444: PetscCall(PetscFPTrapPop());
3445: }
3447: nv = 0;
3448: 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) */
3449: PetscCall(ISGetLocalSize(sub_schurs->is_vertices, &nv));
3450: }
3451: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(lwork), &B_lwork));
3452: if (allocated_S_St) PetscCall(PetscMalloc2(mss * mss, &S, mss * mss, &St));
3453: PetscCall(PetscMalloc5(mss * mss, &eigv, mss, &eigs, B_lwork, &work, 5 * mss, &B_iwork, mss, &B_ifail));
3454: #if defined(PETSC_USE_COMPLEX)
3455: PetscCall(PetscMalloc1(7 * mss, &rwork));
3456: #endif
3457: 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,
3458: &pcbddc->adaptive_constraints_data));
3459: PetscCall(PetscArrayzero(pcbddc->adaptive_constraints_n, nv + sub_schurs->n_subs));
3461: maxneigs = 0;
3462: cum = cumarray = 0;
3463: pcbddc->adaptive_constraints_idxs_ptr[0] = 0;
3464: pcbddc->adaptive_constraints_data_ptr[0] = 0;
3465: if (sub_schurs->is_vertices && pcbddc->use_vertices) {
3466: const PetscInt *idxs;
3468: PetscCall(ISGetIndices(sub_schurs->is_vertices, &idxs));
3469: for (cum = 0; cum < nv; cum++) {
3470: pcbddc->adaptive_constraints_n[cum] = 1;
3471: pcbddc->adaptive_constraints_idxs[cum] = idxs[cum];
3472: pcbddc->adaptive_constraints_data[cum] = 1.0;
3473: pcbddc->adaptive_constraints_idxs_ptr[cum + 1] = pcbddc->adaptive_constraints_idxs_ptr[cum] + 1;
3474: pcbddc->adaptive_constraints_data_ptr[cum + 1] = pcbddc->adaptive_constraints_data_ptr[cum] + 1;
3475: }
3476: PetscCall(ISRestoreIndices(sub_schurs->is_vertices, &idxs));
3477: }
3479: if (mss) { /* multilevel */
3480: if (sub_schurs->gdsw) {
3481: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all, &Sarray));
3482: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3483: } else {
3484: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_inv_all, &Sarray));
3485: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3486: }
3487: }
3489: lthresh = pcbddc->adaptive_threshold[0];
3490: uthresh = pcbddc->adaptive_threshold[1];
3491: upart = pcbddc->use_deluxe_scaling;
3492: for (i = 0; i < sub_schurs->n_subs; i++) {
3493: const PetscInt *idxs;
3494: PetscReal upper, lower;
3495: PetscInt j, subset_size, eigs_start = 0;
3496: PetscBLASInt B_N;
3497: PetscBool same_data = PETSC_FALSE;
3498: PetscBool scal = PETSC_FALSE;
3500: if (upart) {
3501: upper = PETSC_MAX_REAL;
3502: lower = uthresh;
3503: } else {
3504: if (sub_schurs->gdsw) {
3505: upper = uthresh;
3506: lower = PETSC_MIN_REAL;
3507: } else {
3508: PetscCheck(sub_schurs->is_posdef, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented without deluxe scaling");
3509: upper = 1. / uthresh;
3510: lower = 0.;
3511: }
3512: }
3513: PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
3514: PetscCall(ISGetIndices(sub_schurs->is_subs[i], &idxs));
3515: PetscCall(PetscBLASIntCast(subset_size, &B_N));
3516: /* this is experimental: we assume the dofs have been properly grouped to have
3517: the diagonal blocks Schur complements either positive or negative definite (true for Stokes) */
3518: if (!sub_schurs->is_posdef) {
3519: Mat T;
3521: for (j = 0; j < subset_size; j++) {
3522: if (PetscRealPart(*(Sarray + cumarray + j * (subset_size + 1))) < 0.0) {
3523: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, subset_size, subset_size, Sarray + cumarray, &T));
3524: PetscCall(MatScale(T, -1.0));
3525: PetscCall(MatDestroy(&T));
3526: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, subset_size, subset_size, Starray + cumarray, &T));
3527: PetscCall(MatScale(T, -1.0));
3528: PetscCall(MatDestroy(&T));
3529: if (sub_schurs->change_primal_sub) {
3530: PetscInt nz, k;
3531: const PetscInt *idxs;
3533: PetscCall(ISGetLocalSize(sub_schurs->change_primal_sub[i], &nz));
3534: PetscCall(ISGetIndices(sub_schurs->change_primal_sub[i], &idxs));
3535: for (k = 0; k < nz; k++) {
3536: *(Sarray + cumarray + idxs[k] * (subset_size + 1)) *= -1.0;
3537: *(Starray + cumarray + idxs[k] * (subset_size + 1)) = 0.0;
3538: }
3539: PetscCall(ISRestoreIndices(sub_schurs->change_primal_sub[i], &idxs));
3540: }
3541: scal = PETSC_TRUE;
3542: break;
3543: }
3544: }
3545: }
3547: if (allocated_S_St) { /* S and S_t should be copied since we could need them later */
3548: if (sub_schurs->is_symmetric) {
3549: PetscInt j, k;
3550: if (sub_schurs->n_subs == 1) { /* zeroing memory to use PetscArraycmp() later */
3551: PetscCall(PetscArrayzero(S, subset_size * subset_size));
3552: PetscCall(PetscArrayzero(St, subset_size * subset_size));
3553: }
3554: for (j = 0; j < subset_size; j++) {
3555: for (k = j; k < subset_size; k++) {
3556: S[j * subset_size + k] = Sarray[cumarray + j * subset_size + k];
3557: St[j * subset_size + k] = Starray[cumarray + j * subset_size + k];
3558: }
3559: }
3560: } else {
3561: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3562: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3563: }
3564: } else {
3565: S = Sarray + cumarray;
3566: St = Starray + cumarray;
3567: }
3568: /* see if we can save some work */
3569: if (sub_schurs->n_subs == 1 && pcbddc->use_deluxe_scaling) PetscCall(PetscArraycmp(S, St, subset_size * subset_size, &same_data));
3571: if (same_data && !sub_schurs->change) { /* there's no need of constraints here */
3572: B_neigs = 0;
3573: } else {
3574: PetscBLASInt B_itype = 1, B_IL = 1, B_IU = 0;
3575: PetscReal eps = -1.0; /* dlamch? */
3576: PetscInt nmin_s;
3577: PetscBool compute_range;
3579: PetscCheck(sub_schurs->is_symmetric, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
3580: B_neigs = 0;
3581: compute_range = (PetscBool)!same_data;
3582: if (nmin >= subset_size) compute_range = PETSC_FALSE;
3584: if (pcbddc->dbg_flag) {
3585: PetscInt nc = 0, c = pcbddc->mat_graph->nodes[idxs[0]].count, w = pcbddc->mat_graph->nodes[idxs[0]].which_dof;
3587: if (sub_schurs->change_primal_sub) PetscCall(ISGetLocalSize(sub_schurs->change_primal_sub[i], &nc));
3588: PetscCall(
3589: 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));
3590: }
3592: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
3593: if (compute_range) {
3594: /* ask for eigenvalues larger than thresh */
3595: if (sub_schurs->is_posdef) {
3596: #if defined(PETSC_USE_COMPLEX)
3597: 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));
3598: #else
3599: 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));
3600: #endif
3601: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3602: } else { /* no theory so far, but it works nicely */
3603: PetscInt recipe = 0, recipe_m = 1;
3604: PetscReal bb[2];
3606: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)pc)->prefix, "-pc_bddc_adaptive_recipe", &recipe, NULL));
3607: switch (recipe) {
3608: case 0:
3609: if (scal) {
3610: bb[0] = PETSC_MIN_REAL;
3611: bb[1] = lthresh;
3612: } else {
3613: bb[0] = uthresh;
3614: bb[1] = PETSC_MAX_REAL;
3615: }
3616: #if defined(PETSC_USE_COMPLEX)
3617: 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));
3618: #else
3619: 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));
3620: #endif
3621: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3622: break;
3623: case 1:
3624: bb[0] = PETSC_MIN_REAL;
3625: bb[1] = lthresh * lthresh;
3626: #if defined(PETSC_USE_COMPLEX)
3627: 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));
3628: #else
3629: 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));
3630: #endif
3631: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3632: if (!scal) {
3633: PetscBLASInt B_neigs2 = 0;
3635: bb[0] = PetscMax(lthresh * lthresh, uthresh);
3636: bb[1] = PETSC_MAX_REAL;
3637: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3638: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3639: #if defined(PETSC_USE_COMPLEX)
3640: 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));
3641: #else
3642: 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));
3643: #endif
3644: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3645: B_neigs += B_neigs2;
3646: }
3647: break;
3648: case 2:
3649: if (scal) {
3650: bb[0] = PETSC_MIN_REAL;
3651: bb[1] = 0;
3652: #if defined(PETSC_USE_COMPLEX)
3653: 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));
3654: #else
3655: 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));
3656: #endif
3657: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3658: } else {
3659: PetscBLASInt B_neigs2 = 0;
3660: PetscBool do_copy = PETSC_FALSE;
3662: lthresh = PetscMax(lthresh, 0.0);
3663: if (lthresh > 0.0) {
3664: bb[0] = PETSC_MIN_REAL;
3665: bb[1] = lthresh * lthresh;
3667: do_copy = PETSC_TRUE;
3668: #if defined(PETSC_USE_COMPLEX)
3669: 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));
3670: #else
3671: 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));
3672: #endif
3673: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3674: }
3675: bb[0] = PetscMax(lthresh * lthresh, uthresh);
3676: bb[1] = PETSC_MAX_REAL;
3677: if (do_copy) {
3678: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3679: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3680: }
3681: #if defined(PETSC_USE_COMPLEX)
3682: 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));
3683: #else
3684: 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));
3685: #endif
3686: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3687: B_neigs += B_neigs2;
3688: }
3689: break;
3690: case 3:
3691: if (scal) {
3692: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)pc)->prefix, "-pc_bddc_adaptive_recipe3_min_scal", &recipe_m, NULL));
3693: } else {
3694: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)pc)->prefix, "-pc_bddc_adaptive_recipe3_min", &recipe_m, NULL));
3695: }
3696: if (!scal) {
3697: bb[0] = uthresh;
3698: bb[1] = PETSC_MAX_REAL;
3699: #if defined(PETSC_USE_COMPLEX)
3700: 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));
3701: #else
3702: 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));
3703: #endif
3704: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3705: }
3706: if (recipe_m > 0 && B_N - B_neigs > 0) {
3707: PetscBLASInt B_neigs2 = 0;
3709: PetscCall(PetscBLASIntCast(PetscMin(recipe_m, B_N - B_neigs), &B_IU));
3710: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3711: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3712: #if defined(PETSC_USE_COMPLEX)
3713: 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));
3714: #else
3715: 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));
3716: #endif
3717: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3718: B_neigs += B_neigs2;
3719: }
3720: break;
3721: case 4:
3722: bb[0] = PETSC_MIN_REAL;
3723: bb[1] = lthresh;
3724: #if defined(PETSC_USE_COMPLEX)
3725: 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));
3726: #else
3727: 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));
3728: #endif
3729: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3730: {
3731: PetscBLASInt B_neigs2 = 0;
3733: bb[0] = PetscMax(lthresh + PETSC_SMALL, uthresh);
3734: bb[1] = PETSC_MAX_REAL;
3735: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3736: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3737: #if defined(PETSC_USE_COMPLEX)
3738: 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));
3739: #else
3740: 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));
3741: #endif
3742: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3743: B_neigs += B_neigs2;
3744: }
3745: break;
3746: case 5: /* same as before: first compute all eigenvalues, then filter */
3747: #if defined(PETSC_USE_COMPLEX)
3748: 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));
3749: #else
3750: 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));
3751: #endif
3752: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3753: {
3754: PetscInt e, k, ne;
3755: for (e = 0, ne = 0; e < B_neigs; e++) {
3756: if (eigs[e] < lthresh || eigs[e] > uthresh) {
3757: for (k = 0; k < B_N; k++) S[ne * B_N + k] = eigv[e * B_N + k];
3758: eigs[ne] = eigs[e];
3759: ne++;
3760: }
3761: }
3762: PetscCall(PetscArraycpy(eigv, S, B_N * ne));
3763: PetscCall(PetscBLASIntCast(ne, &B_neigs));
3764: }
3765: break;
3766: default:
3767: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_SUP, "Unknown recipe %" PetscInt_FMT, recipe);
3768: }
3769: }
3770: } else if (!same_data) { /* this is just to see all the eigenvalues */
3771: PetscCall(PetscBLASIntCast(PetscMax(1, PetscMin(B_N, nmax)), &B_IU));
3772: #if defined(PETSC_USE_COMPLEX)
3773: 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));
3774: #else
3775: 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));
3776: #endif
3777: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3778: } else { /* same_data is true, so just get the adaptive functional requested by the user */
3779: PetscInt k;
3780: PetscCheck(sub_schurs->change_primal_sub, PETSC_COMM_SELF, PETSC_ERR_PLIB, "This should not happen");
3781: PetscCall(ISGetLocalSize(sub_schurs->change_primal_sub[i], &nmax));
3782: PetscCall(PetscBLASIntCast(nmax, &B_neigs));
3783: nmin = nmax;
3784: PetscCall(PetscArrayzero(eigv, subset_size * nmax));
3785: for (k = 0; k < nmax; k++) {
3786: eigs[k] = 1. / PETSC_SMALL;
3787: eigv[k * (subset_size + 1)] = 1.0;
3788: }
3789: }
3790: PetscCall(PetscFPTrapPop());
3791: if (B_ierr) {
3792: PetscCheck(B_ierr >= 0, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: illegal value for argument %" PetscBLASInt_FMT, -B_ierr);
3793: PetscCheck(B_ierr > B_N, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: %" PetscBLASInt_FMT " eigenvalues failed to converge", B_ierr);
3794: 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);
3795: }
3797: if (B_neigs > nmax) {
3798: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " found %" PetscBLASInt_FMT " eigs, more than maximum required %" PetscInt_FMT ".\n", B_neigs, nmax));
3799: if (upart) eigs_start = scal ? 0 : B_neigs - nmax;
3800: PetscCall(PetscBLASIntCast(nmax, &B_neigs));
3801: }
3803: nmin_s = PetscMin(nmin, B_N);
3804: if (B_neigs < nmin_s) {
3805: PetscBLASInt B_neigs2 = 0;
3807: if (upart) {
3808: if (scal) {
3809: PetscCall(PetscBLASIntCast(nmin_s, &B_IU));
3810: B_IL = B_neigs + 1;
3811: } else {
3812: PetscCall(PetscBLASIntCast(B_N - nmin_s + 1, &B_IL));
3813: B_IU = B_N - B_neigs;
3814: }
3815: } else {
3816: B_IL = B_neigs + 1;
3817: PetscCall(PetscBLASIntCast(nmin_s, &B_IU));
3818: }
3819: if (pcbddc->dbg_flag) {
3820: 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));
3821: }
3822: if (sub_schurs->is_symmetric) {
3823: PetscInt j, k;
3824: for (j = 0; j < subset_size; j++) {
3825: for (k = j; k < subset_size; k++) {
3826: S[j * subset_size + k] = Sarray[cumarray + j * subset_size + k];
3827: St[j * subset_size + k] = Starray[cumarray + j * subset_size + k];
3828: }
3829: }
3830: } else {
3831: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3832: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3833: }
3834: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
3835: #if defined(PETSC_USE_COMPLEX)
3836: 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));
3837: #else
3838: 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));
3839: #endif
3840: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3841: PetscCall(PetscFPTrapPop());
3842: B_neigs += B_neigs2;
3843: }
3844: if (B_ierr) {
3845: PetscCheck(B_ierr >= 0, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: illegal value for argument %" PetscBLASInt_FMT, -B_ierr);
3846: PetscCheck(B_ierr > B_N, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: %" PetscBLASInt_FMT " eigenvalues failed to converge", B_ierr);
3847: 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);
3848: }
3849: if (pcbddc->dbg_flag) {
3850: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " -> Got %" PetscBLASInt_FMT " eigs\n", B_neigs));
3851: for (j = 0; j < B_neigs; j++) {
3852: if (!sub_schurs->gdsw) {
3853: if (eigs[j] == 0.0) {
3854: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " Inf\n"));
3855: } else {
3856: if (upart) {
3857: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.6e\n", (double)eigs[j + eigs_start]));
3858: } else {
3859: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.6e\n", (double)(1 / eigs[j + eigs_start])));
3860: }
3861: }
3862: } else {
3863: double pg = (double)eigs[j + eigs_start];
3864: if (pg < 2 * PETSC_SMALL) pg = 0.0;
3865: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.6e\n", pg));
3866: }
3867: }
3868: }
3869: }
3870: /* change the basis back to the original one */
3871: if (sub_schurs->change) {
3872: Mat change, phi, phit;
3874: if (pcbddc->dbg_flag > 2) {
3875: PetscInt ii;
3876: for (ii = 0; ii < B_neigs; ii++) {
3877: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " -> Eigenvector (old basis) %" PetscInt_FMT "/%" PetscBLASInt_FMT " (%" PetscBLASInt_FMT ")\n", ii, B_neigs, B_N));
3878: for (j = 0; j < B_N; j++) {
3879: #if defined(PETSC_USE_COMPLEX)
3880: PetscReal r = PetscRealPart(eigv[(ii + eigs_start) * subset_size + j]);
3881: PetscReal c = PetscImaginaryPart(eigv[(ii + eigs_start) * subset_size + j]);
3882: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e + %1.4e i\n", (double)r, (double)c));
3883: #else
3884: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e\n", (double)(eigv[(ii + eigs_start) * subset_size + j])));
3885: #endif
3886: }
3887: }
3888: }
3889: PetscCall(KSPGetOperators(sub_schurs->change[i], &change, NULL));
3890: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, subset_size, B_neigs, eigv + eigs_start * subset_size, &phit));
3891: PetscCall(MatMatMult(change, phit, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &phi));
3892: PetscCall(MatCopy(phi, phit, SAME_NONZERO_PATTERN));
3893: PetscCall(MatDestroy(&phit));
3894: PetscCall(MatDestroy(&phi));
3895: }
3896: maxneigs = PetscMax(B_neigs, maxneigs);
3897: pcbddc->adaptive_constraints_n[i + nv] = B_neigs;
3898: if (B_neigs) {
3899: PetscCall(PetscArraycpy(pcbddc->adaptive_constraints_data + pcbddc->adaptive_constraints_data_ptr[cum], eigv + eigs_start * subset_size, B_neigs * subset_size));
3901: if (pcbddc->dbg_flag > 1) {
3902: PetscInt ii;
3903: for (ii = 0; ii < B_neigs; ii++) {
3904: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " -> Eigenvector %" PetscInt_FMT "/%" PetscBLASInt_FMT " (%" PetscBLASInt_FMT ")\n", ii, B_neigs, B_N));
3905: for (j = 0; j < B_N; j++) {
3906: #if defined(PETSC_USE_COMPLEX)
3907: PetscReal r = PetscRealPart(pcbddc->adaptive_constraints_data[ii * subset_size + j + pcbddc->adaptive_constraints_data_ptr[cum]]);
3908: PetscReal c = PetscImaginaryPart(pcbddc->adaptive_constraints_data[ii * subset_size + j + pcbddc->adaptive_constraints_data_ptr[cum]]);
3909: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e + %1.4e i\n", (double)r, (double)c));
3910: #else
3911: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e\n", (double)PetscRealPart(pcbddc->adaptive_constraints_data[ii * subset_size + j + pcbddc->adaptive_constraints_data_ptr[cum]])));
3912: #endif
3913: }
3914: }
3915: }
3916: PetscCall(PetscArraycpy(pcbddc->adaptive_constraints_idxs + pcbddc->adaptive_constraints_idxs_ptr[cum], idxs, subset_size));
3917: pcbddc->adaptive_constraints_idxs_ptr[cum + 1] = pcbddc->adaptive_constraints_idxs_ptr[cum] + subset_size;
3918: pcbddc->adaptive_constraints_data_ptr[cum + 1] = pcbddc->adaptive_constraints_data_ptr[cum] + subset_size * B_neigs;
3919: cum++;
3920: }
3921: PetscCall(ISRestoreIndices(sub_schurs->is_subs[i], &idxs));
3922: /* shift for next computation */
3923: cumarray += subset_size * subset_size;
3924: }
3925: if (pcbddc->dbg_flag) PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
3927: if (mss) {
3928: if (sub_schurs->gdsw) {
3929: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all, &Sarray));
3930: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3931: } else {
3932: PetscCall(MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_inv_all, &Sarray));
3933: PetscCall(MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3934: /* destroy matrices (junk) */
3935: PetscCall(MatDestroy(&sub_schurs->sum_S_Ej_inv_all));
3936: PetscCall(MatDestroy(&sub_schurs->sum_S_Ej_tilda_all));
3937: }
3938: }
3939: if (allocated_S_St) PetscCall(PetscFree2(S, St));
3940: PetscCall(PetscFree5(eigv, eigs, work, B_iwork, B_ifail));
3941: #if defined(PETSC_USE_COMPLEX)
3942: PetscCall(PetscFree(rwork));
3943: #endif
3944: if (pcbddc->dbg_flag) {
3945: PetscInt maxneigs_r;
3946: PetscCallMPI(MPIU_Allreduce(&maxneigs, &maxneigs_r, 1, MPIU_INT, MPI_MAX, PetscObjectComm((PetscObject)pc)));
3947: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Maximum number of constraints per cc %" PetscInt_FMT "\n", maxneigs_r));
3948: }
3949: PetscCall(PetscLogEventEnd(PC_BDDC_AdaptiveSetUp[pcbddc->current_level], pc, 0, 0, 0));
3950: PetscFunctionReturn(PETSC_SUCCESS);
3951: }
3953: PetscErrorCode PCBDDCSetUpSolvers(PC pc)
3954: {
3955: Mat coarse_submat;
3957: PetscFunctionBegin;
3958: /* Setup local scatters R_to_B and (optionally) R_to_D */
3959: /* PCBDDCSetUpLocalWorkVectors should be called first! */
3960: PetscCall(PCBDDCSetUpLocalScatters(pc));
3962: /* Setup local neumann solver ksp_R */
3963: /* PCBDDCSetUpLocalScatters should be called first! */
3964: PetscCall(PCBDDCSetUpLocalSolvers(pc, PETSC_FALSE, PETSC_TRUE));
3966: /*
3967: Setup local correction and local part of coarse basis.
3968: Gives back the dense local part of the coarse matrix in column major ordering
3969: */
3970: PetscCall(PCBDDCSetUpCorrection(pc, &coarse_submat));
3972: /* Compute total number of coarse nodes and setup coarse solver */
3973: PetscCall(PCBDDCSetUpCoarseSolver(pc, coarse_submat));
3974: PetscCall(MatDestroy(&coarse_submat));
3975: PetscFunctionReturn(PETSC_SUCCESS);
3976: }
3978: PetscErrorCode PCBDDCResetCustomization(PC pc)
3979: {
3980: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3982: PetscFunctionBegin;
3983: PetscCall(ISDestroy(&pcbddc->user_primal_vertices));
3984: PetscCall(ISDestroy(&pcbddc->user_primal_vertices_local));
3985: PetscCall(ISDestroy(&pcbddc->NeumannBoundaries));
3986: PetscCall(ISDestroy(&pcbddc->NeumannBoundariesLocal));
3987: PetscCall(ISDestroy(&pcbddc->DirichletBoundaries));
3988: PetscCall(MatNullSpaceDestroy(&pcbddc->onearnullspace));
3989: PetscCall(PetscFree(pcbddc->onearnullvecs_state));
3990: PetscCall(ISDestroy(&pcbddc->DirichletBoundariesLocal));
3991: PetscCall(PCBDDCSetDofsSplitting(pc, 0, NULL));
3992: PetscCall(PCBDDCSetDofsSplittingLocal(pc, 0, NULL));
3993: PetscFunctionReturn(PETSC_SUCCESS);
3994: }
3996: PetscErrorCode PCBDDCResetTopography(PC pc)
3997: {
3998: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3999: PetscInt i;
4001: PetscFunctionBegin;
4002: PetscCall(MatDestroy(&pcbddc->nedcG));
4003: PetscCall(ISDestroy(&pcbddc->nedclocal));
4004: PetscCall(MatDestroy(&pcbddc->discretegradient));
4005: PetscCall(MatDestroy(&pcbddc->user_ChangeOfBasisMatrix));
4006: PetscCall(MatDestroy(&pcbddc->ChangeOfBasisMatrix));
4007: PetscCall(MatDestroy(&pcbddc->switch_static_change));
4008: PetscCall(VecDestroy(&pcbddc->work_change));
4009: PetscCall(MatDestroy(&pcbddc->ConstraintMatrix));
4010: PetscCall(MatDestroy(&pcbddc->divudotp));
4011: PetscCall(ISDestroy(&pcbddc->divudotp_vl2l));
4012: PetscCall(PCBDDCGraphDestroy(&pcbddc->mat_graph));
4013: for (i = 0; i < pcbddc->n_local_subs; i++) PetscCall(ISDestroy(&pcbddc->local_subs[i]));
4014: pcbddc->n_local_subs = 0;
4015: PetscCall(PetscFree(pcbddc->local_subs));
4016: PetscCall(PCBDDCSubSchursDestroy(&pcbddc->sub_schurs));
4017: pcbddc->graphanalyzed = PETSC_FALSE;
4018: pcbddc->recompute_topography = PETSC_TRUE;
4019: pcbddc->corner_selected = PETSC_FALSE;
4020: PetscFunctionReturn(PETSC_SUCCESS);
4021: }
4023: PetscErrorCode PCBDDCResetSolvers(PC pc)
4024: {
4025: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
4027: PetscFunctionBegin;
4028: PetscCall(VecDestroy(&pcbddc->coarse_vec));
4029: PetscCall(MatDestroy(&pcbddc->coarse_phi_B));
4030: PetscCall(MatDestroy(&pcbddc->coarse_phi_D));
4031: PetscCall(MatDestroy(&pcbddc->coarse_psi_B));
4032: PetscCall(MatDestroy(&pcbddc->coarse_psi_D));
4033: PetscCall(VecDestroy(&pcbddc->vec1_P));
4034: PetscCall(VecDestroy(&pcbddc->vec1_C));
4035: PetscCall(MatDestroy(&pcbddc->local_auxmat2));
4036: PetscCall(MatDestroy(&pcbddc->local_auxmat1));
4037: PetscCall(VecDestroy(&pcbddc->vec1_R));
4038: PetscCall(VecDestroy(&pcbddc->vec2_R));
4039: PetscCall(ISDestroy(&pcbddc->is_R_local));
4040: PetscCall(VecScatterDestroy(&pcbddc->R_to_B));
4041: PetscCall(VecScatterDestroy(&pcbddc->R_to_D));
4042: PetscCall(VecScatterDestroy(&pcbddc->coarse_loc_to_glob));
4043: PetscCall(KSPReset(pcbddc->ksp_D));
4044: PetscCall(KSPReset(pcbddc->ksp_R));
4045: PetscCall(KSPReset(pcbddc->coarse_ksp));
4046: PetscCall(MatDestroy(&pcbddc->local_mat));
4047: PetscCall(PetscFree(pcbddc->primal_indices_local_idxs));
4048: PetscCall(PetscFree2(pcbddc->local_primal_ref_node, pcbddc->local_primal_ref_mult));
4049: PetscCall(PetscFree(pcbddc->global_primal_indices));
4050: PetscCall(ISDestroy(&pcbddc->coarse_subassembling));
4051: PetscCall(MatDestroy(&pcbddc->benign_change));
4052: PetscCall(VecDestroy(&pcbddc->benign_vec));
4053: PetscCall(PCBDDCBenignShellMat(pc, PETSC_TRUE));
4054: PetscCall(MatDestroy(&pcbddc->benign_B0));
4055: PetscCall(PetscSFDestroy(&pcbddc->benign_sf));
4056: if (pcbddc->benign_zerodiag_subs) {
4057: PetscInt i;
4058: for (i = 0; i < pcbddc->benign_n; i++) PetscCall(ISDestroy(&pcbddc->benign_zerodiag_subs[i]));
4059: PetscCall(PetscFree(pcbddc->benign_zerodiag_subs));
4060: }
4061: PetscCall(PetscFree3(pcbddc->benign_p0_lidx, pcbddc->benign_p0_gidx, pcbddc->benign_p0));
4062: PetscFunctionReturn(PETSC_SUCCESS);
4063: }
4065: PetscErrorCode PCBDDCSetUpLocalWorkVectors(PC pc)
4066: {
4067: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
4068: PC_IS *pcis = (PC_IS *)pc->data;
4069: VecType impVecType;
4070: PetscInt n_constraints, n_R, old_size;
4072: PetscFunctionBegin;
4073: n_constraints = pcbddc->local_primal_size - pcbddc->benign_n - pcbddc->n_vertices;
4074: n_R = pcis->n - pcbddc->n_vertices;
4075: PetscCall(VecGetType(pcis->vec1_N, &impVecType));
4076: /* local work vectors (try to avoid unneeded work)*/
4077: /* R nodes */
4078: old_size = -1;
4079: if (pcbddc->vec1_R) PetscCall(VecGetSize(pcbddc->vec1_R, &old_size));
4080: if (n_R != old_size) {
4081: PetscCall(VecDestroy(&pcbddc->vec1_R));
4082: PetscCall(VecDestroy(&pcbddc->vec2_R));
4083: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &pcbddc->vec1_R));
4084: PetscCall(VecSetSizes(pcbddc->vec1_R, PETSC_DECIDE, n_R));
4085: PetscCall(VecSetType(pcbddc->vec1_R, impVecType));
4086: PetscCall(VecDuplicate(pcbddc->vec1_R, &pcbddc->vec2_R));
4087: }
4088: /* local primal dofs */
4089: old_size = -1;
4090: if (pcbddc->vec1_P) PetscCall(VecGetSize(pcbddc->vec1_P, &old_size));
4091: if (pcbddc->local_primal_size != old_size) {
4092: PetscCall(VecDestroy(&pcbddc->vec1_P));
4093: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &pcbddc->vec1_P));
4094: PetscCall(VecSetSizes(pcbddc->vec1_P, PETSC_DECIDE, pcbddc->local_primal_size));
4095: PetscCall(VecSetType(pcbddc->vec1_P, impVecType));
4096: }
4097: /* local explicit constraints */
4098: old_size = -1;
4099: if (pcbddc->vec1_C) PetscCall(VecGetSize(pcbddc->vec1_C, &old_size));
4100: if (n_constraints && n_constraints != old_size) {
4101: PetscCall(VecDestroy(&pcbddc->vec1_C));
4102: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &pcbddc->vec1_C));
4103: PetscCall(VecSetSizes(pcbddc->vec1_C, PETSC_DECIDE, n_constraints));
4104: PetscCall(VecSetType(pcbddc->vec1_C, impVecType));
4105: }
4106: PetscFunctionReturn(PETSC_SUCCESS);
4107: }
4109: static PetscErrorCode MatSetValuesSubMat(Mat A, Mat S, PetscInt nr, const PetscInt rows[], PetscInt nc, const PetscInt cols[], InsertMode imode)
4110: {
4111: PetscBool flg;
4112: const PetscScalar *a;
4114: PetscFunctionBegin;
4115: PetscCall(PetscObjectBaseTypeCompare((PetscObject)S, MATSEQDENSE, &flg));
4116: if (flg) {
4117: PetscCall(MatDenseGetArrayRead(S, &a));
4118: PetscCall(MatSetOption(A, MAT_ROW_ORIENTED, PETSC_FALSE));
4119: PetscCall(MatSetValues(A, nr, rows, nc, cols, a, imode));
4120: PetscCall(MatSetOption(A, MAT_ROW_ORIENTED, PETSC_TRUE));
4121: PetscCall(MatDenseRestoreArrayRead(S, &a));
4122: } else {
4123: const PetscInt *ii, *jj;
4124: PetscInt n;
4125: PetscInt buf[8192], *bufc = NULL;
4126: PetscBool freeb = PETSC_FALSE;
4127: Mat Sm = S;
4129: PetscCall(PetscObjectBaseTypeCompare((PetscObject)S, MATSEQAIJ, &flg));
4130: if (!flg) PetscCall(MatConvert(S, MATSEQAIJ, MAT_INITIAL_MATRIX, &Sm));
4131: else PetscCall(PetscObjectReference((PetscObject)S));
4132: PetscCall(MatSeqAIJGetArrayRead(Sm, &a));
4133: PetscCall(MatGetRowIJ(Sm, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg));
4134: PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Cannot get IJ structure");
4135: if (nc <= (PetscInt)PETSC_STATIC_ARRAY_LENGTH(buf)) {
4136: bufc = buf;
4137: } else {
4138: PetscCall(PetscMalloc1(nc, &bufc));
4139: freeb = PETSC_TRUE;
4140: }
4142: for (PetscInt i = 0; i < n; i++) {
4143: const PetscInt nci = ii[i + 1] - ii[i];
4145: for (PetscInt j = 0; j < nci; j++) bufc[j] = cols[jj[ii[i] + j]];
4146: PetscCall(MatSetValues(A, 1, rows + i, nci, bufc, a + ii[i], imode));
4147: }
4148: PetscCall(MatRestoreRowIJ(Sm, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg));
4149: PetscCall(MatSeqAIJRestoreArrayRead(Sm, &a));
4150: PetscCall(MatDestroy(&Sm));
4151: if (freeb) PetscCall(PetscFree(bufc));
4152: }
4153: PetscCall(MatAssemblyBegin(A, MAT_FLUSH_ASSEMBLY));
4154: PetscCall(MatAssemblyEnd(A, MAT_FLUSH_ASSEMBLY));
4155: PetscFunctionReturn(PETSC_SUCCESS);
4156: }
4158: static PetscErrorCode MatCreateSeqAIJFromDenseExpand(Mat D, PetscInt n, const PetscInt j[], Mat *mat)
4159: {
4160: Mat_SeqAIJ *aij;
4161: PetscInt *ii, *jj;
4162: PetscScalar *aa;
4163: PetscInt nnz = 0, m, nc;
4164: const PetscScalar *a;
4165: const PetscScalar zero = 0.0;
4167: PetscFunctionBegin;
4168: PetscCall(MatGetLocalSize(D, &m, &nc));
4169: PetscCall(MatDenseGetArrayRead(D, &a));
4170: PetscCall(PetscMalloc1(m + 1, &ii));
4171: PetscCall(PetscMalloc1(m * nc, &jj));
4172: PetscCall(PetscMalloc1(m * nc, &aa));
4173: ii[0] = 0;
4174: for (PetscInt k = 0; k < m; k++) {
4175: for (PetscInt s = 0; s < nc; s++) {
4176: const PetscInt c = s + k * nc;
4177: const PetscScalar v = a[k + s * m];
4179: if (PetscUnlikely(j[c] < 0 || v == zero)) continue;
4180: jj[nnz] = j[c];
4181: aa[nnz] = a[k + s * m];
4182: nnz++;
4183: }
4184: ii[k + 1] = nnz;
4185: }
4187: PetscCall(MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)D), m, n, ii, jj, aa, mat));
4188: PetscCall(MatDenseRestoreArrayRead(D, &a));
4190: aij = (Mat_SeqAIJ *)(*mat)->data;
4191: aij->free_a = PETSC_TRUE;
4192: aij->free_ij = PETSC_TRUE;
4193: PetscFunctionReturn(PETSC_SUCCESS);
4194: }
4196: /* adapted from MatInvertVariableBlockDiagonal_SeqAIJ */
4197: static PetscErrorCode MatSeqAIJInvertVariableBlockDiagonalMat(Mat A, PetscInt nblocks, const PetscInt *bsizes, Mat *B)
4198: {
4199: PetscInt n = A->rmap->n, ncnt = 0, ncnt2 = 0, bsizemax = 0, *v_pivots = NULL;
4200: const PetscBool allowzeropivot = PETSC_FALSE;
4201: PetscBool zeropivotdetected = PETSC_FALSE;
4202: const PetscReal shift = 0.0;
4203: PetscInt ipvt[5], *ii, *jj, *indi, *indj;
4204: PetscScalar work[25], *v_work = NULL, *aa, *diag;
4205: PetscLogDouble flops = 0.0;
4207: PetscFunctionBegin;
4208: PetscCheck(A->rmap->n == A->cmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Not for rectangular matrices");
4209: for (PetscInt i = 0; i < nblocks; i++) {
4210: ncnt += bsizes[i];
4211: ncnt2 += PetscSqr(bsizes[i]);
4212: }
4213: PetscCheck(ncnt == n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Total blocksizes %" PetscInt_FMT " doesn't match number matrix rows %" PetscInt_FMT, ncnt, n);
4214: for (PetscInt i = 0; i < nblocks; i++) bsizemax = PetscMax(bsizemax, bsizes[i]);
4215: if (bsizemax > 7) PetscCall(PetscMalloc2(bsizemax, &v_work, bsizemax, &v_pivots));
4217: PetscCall(PetscMalloc1(n + 1, &ii));
4218: PetscCall(PetscMalloc1(ncnt2, &jj));
4219: PetscCall(PetscCalloc1(ncnt2, &aa));
4221: ncnt = 0;
4222: ii[0] = 0;
4223: indi = ii;
4224: indj = jj;
4225: diag = aa;
4226: for (PetscInt i = 0; i < nblocks; i++) {
4227: const PetscInt bs = bsizes[i];
4229: for (PetscInt k = 0; k < bs; k++) {
4230: indi[k + 1] = indi[k] + bs;
4231: for (PetscInt j = 0; j < bs; j++) indj[k * bs + j] = ncnt + j;
4232: }
4233: PetscCall(MatGetValues(A, bs, indj, bs, indj, diag));
4234: switch (bs) {
4235: case 1:
4236: *diag = 1.0 / (*diag);
4237: break;
4238: case 2:
4239: PetscCall(PetscKernel_A_gets_inverse_A_2(diag, shift, allowzeropivot, &zeropivotdetected));
4240: break;
4241: case 3:
4242: PetscCall(PetscKernel_A_gets_inverse_A_3(diag, shift, allowzeropivot, &zeropivotdetected));
4243: break;
4244: case 4:
4245: PetscCall(PetscKernel_A_gets_inverse_A_4(diag, shift, allowzeropivot, &zeropivotdetected));
4246: break;
4247: case 5:
4248: PetscCall(PetscKernel_A_gets_inverse_A_5(diag, ipvt, work, shift, allowzeropivot, &zeropivotdetected));
4249: break;
4250: case 6:
4251: PetscCall(PetscKernel_A_gets_inverse_A_6(diag, shift, allowzeropivot, &zeropivotdetected));
4252: break;
4253: case 7:
4254: PetscCall(PetscKernel_A_gets_inverse_A_7(diag, shift, allowzeropivot, &zeropivotdetected));
4255: break;
4256: default:
4257: PetscCall(PetscKernel_A_gets_inverse_A(bs, diag, v_pivots, v_work, allowzeropivot, &zeropivotdetected));
4258: }
4259: ncnt += bs;
4260: flops += 2.0 * PetscPowInt(bs, 3) / 3.0;
4261: diag += bs * bs;
4262: indj += bs * bs;
4263: indi += bs;
4264: }
4265: PetscCall(PetscLogFlops(flops));
4266: PetscCall(PetscFree2(v_work, v_pivots));
4267: PetscCall(MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A), n, n, ii, jj, aa, B));
4268: {
4269: Mat_SeqAIJ *aij = (Mat_SeqAIJ *)(*B)->data;
4270: aij->free_a = PETSC_TRUE;
4271: aij->free_ij = PETSC_TRUE;
4272: }
4273: PetscFunctionReturn(PETSC_SUCCESS);
4274: }
4276: PetscErrorCode PCBDDCSetUpCorrection(PC pc, Mat *coarse_submat)
4277: {
4278: PC_IS *pcis = (PC_IS *)pc->data;
4279: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
4280: PCBDDCGraph graph = pcbddc->mat_graph;
4281: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
4282: /* submatrices of local problem */
4283: Mat A_RV = NULL, A_VR, A_VV, local_auxmat2_R = NULL;
4284: /* submatrices of local coarse problem */
4285: Mat S_CV = NULL, S_VC = NULL, S_CC = NULL;
4286: /* working matrices */
4287: Mat C_CR;
4289: /* additional working stuff */
4290: PC pc_R;
4291: IS is_R, is_V, is_C;
4292: const PetscInt *idx_V, *idx_C;
4293: Mat F, Brhs = NULL;
4294: Vec dummy_vec;
4295: PetscBool isPreonly, isLU, isCHOL, need_benign_correction, sparserhs;
4296: PetscInt *idx_V_B;
4297: PetscInt lda_rhs, n_vertices, n_constraints, *p0_lidx_I;
4298: PetscInt n_eff_vertices, n_eff_constraints;
4299: PetscInt i, n_R, n_D, n_B;
4300: PetscScalar one = 1.0, m_one = -1.0;
4302: /* Multi-element support */
4303: PetscBool multi_element = graph->multi_element;
4304: PetscInt *V_to_eff_V = NULL, *C_to_eff_C = NULL;
4305: PetscInt *B_eff_V_J = NULL, *R_eff_V_J = NULL, *B_eff_C_J = NULL, *R_eff_C_J = NULL;
4306: IS is_C_perm = NULL;
4307: PetscInt n_C_bss = 0, *C_bss = NULL;
4308: Mat coarse_phi_multi;
4310: PetscFunctionBegin;
4311: PetscCheck(pcbddc->symmetric_primal || !pcbddc->benign_n, PETSC_COMM_SELF, PETSC_ERR_SUP, "Non-symmetric primal basis computation with benign trick not yet implemented");
4312: PetscCall(PetscLogEventBegin(PC_BDDC_CorrectionSetUp[pcbddc->current_level], pc, 0, 0, 0));
4314: /* Set Non-overlapping dimensions */
4315: n_vertices = pcbddc->n_vertices;
4316: n_constraints = pcbddc->local_primal_size - pcbddc->benign_n - n_vertices;
4317: n_B = pcis->n_B;
4318: n_D = pcis->n - n_B;
4319: n_R = pcis->n - n_vertices;
4321: /* vertices in boundary numbering */
4322: PetscCall(PetscMalloc1(n_vertices, &idx_V_B));
4323: PetscCall(ISGlobalToLocalMappingApply(pcis->BtoNmap, IS_GTOLM_DROP, n_vertices, pcbddc->local_primal_ref_node, &i, idx_V_B));
4324: PetscCheck(i == n_vertices, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in boundary numbering for BDDC vertices! %" PetscInt_FMT " != %" PetscInt_FMT, n_vertices, i);
4326: /* these two cases still need to be optimized */
4327: if (pcbddc->benign_saddle_point || !pcbddc->symmetric_primal) multi_element = PETSC_FALSE;
4329: /* Subdomain contribution (Non-overlapping) to coarse matrix */
4330: if (multi_element) {
4331: PetscCheck(!pcbddc->benign_n, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
4333: PetscCall(MatCreate(PETSC_COMM_SELF, coarse_submat));
4334: PetscCall(MatSetSizes(*coarse_submat, pcbddc->local_primal_size, pcbddc->local_primal_size, pcbddc->local_primal_size, pcbddc->local_primal_size));
4335: PetscCall(MatSetType(*coarse_submat, MATSEQAIJ));
4336: PetscCall(MatSetOption(*coarse_submat, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE));
4337: PetscCall(MatSetOption(*coarse_submat, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
4339: /* group vertices and constraints by subdomain id */
4340: const PetscInt *vidxs = pcbddc->primal_indices_local_idxs;
4341: const PetscInt *cidxs = pcbddc->primal_indices_local_idxs + n_vertices;
4342: PetscInt *count_eff, *V_eff_to_V, *C_eff_to_C, *nnz;
4343: PetscInt n_el = PetscMax(graph->n_local_subs, 1);
4345: PetscCall(PetscCalloc1(2 * n_el, &count_eff));
4346: PetscCall(PetscMalloc1(n_vertices, &V_to_eff_V));
4347: PetscCall(PetscMalloc1(n_constraints, &C_to_eff_C));
4348: for (PetscInt i = 0; i < n_vertices; i++) {
4349: PetscInt s = 2 * graph->nodes[vidxs[i]].local_sub;
4351: V_to_eff_V[i] = count_eff[s];
4352: count_eff[s] += 1;
4353: }
4354: for (PetscInt i = 0; i < n_constraints; i++) {
4355: PetscInt s = 2 * graph->nodes[cidxs[i]].local_sub + 1;
4357: C_to_eff_C[i] = count_eff[s];
4358: count_eff[s] += 1;
4359: }
4361: /* preallocation */
4362: PetscCall(PetscMalloc1(n_vertices + n_constraints, &nnz));
4363: for (PetscInt i = 0; i < n_vertices; i++) {
4364: PetscInt s = 2 * graph->nodes[vidxs[i]].local_sub;
4366: nnz[i] = count_eff[s] + count_eff[s + 1];
4367: }
4368: for (PetscInt i = 0; i < n_constraints; i++) {
4369: PetscInt s = 2 * graph->nodes[cidxs[i]].local_sub;
4371: nnz[i + n_vertices] = count_eff[s] + count_eff[s + 1];
4372: }
4373: PetscCall(MatSeqAIJSetPreallocation(*coarse_submat, 0, nnz));
4374: PetscCall(PetscFree(nnz));
4376: n_eff_vertices = 0;
4377: n_eff_constraints = 0;
4378: for (PetscInt i = 0; i < n_el; i++) {
4379: n_eff_vertices = PetscMax(n_eff_vertices, count_eff[2 * i]);
4380: n_eff_constraints = PetscMax(n_eff_constraints, count_eff[2 * i + 1]);
4381: count_eff[2 * i] = 0;
4382: count_eff[2 * i + 1] = 0;
4383: }
4385: const PetscInt *idx;
4386: PetscCall(PetscMalloc2(n_el * n_eff_vertices, &V_eff_to_V, n_el * n_eff_constraints, &C_eff_to_C));
4388: for (PetscInt i = 0; i < n_vertices; i++) {
4389: const PetscInt e = graph->nodes[vidxs[i]].local_sub;
4390: const PetscInt s = 2 * e;
4392: V_eff_to_V[e * n_eff_vertices + count_eff[s]] = i;
4393: count_eff[s] += 1;
4394: }
4395: for (PetscInt i = 0; i < n_constraints; i++) {
4396: const PetscInt e = graph->nodes[cidxs[i]].local_sub;
4397: const PetscInt s = 2 * e + 1;
4399: C_eff_to_C[e * n_eff_constraints + count_eff[s]] = i;
4400: count_eff[s] += 1;
4401: }
4403: PetscCall(PetscMalloc1(n_R * n_eff_vertices, &R_eff_V_J));
4404: PetscCall(PetscMalloc1(n_R * n_eff_constraints, &R_eff_C_J));
4405: PetscCall(PetscMalloc1(n_B * n_eff_vertices, &B_eff_V_J));
4406: PetscCall(PetscMalloc1(n_B * n_eff_constraints, &B_eff_C_J));
4407: for (PetscInt i = 0; i < n_R * n_eff_vertices; i++) R_eff_V_J[i] = -1;
4408: for (PetscInt i = 0; i < n_R * n_eff_constraints; i++) R_eff_C_J[i] = -1;
4409: for (PetscInt i = 0; i < n_B * n_eff_vertices; i++) B_eff_V_J[i] = -1;
4410: for (PetscInt i = 0; i < n_B * n_eff_constraints; i++) B_eff_C_J[i] = -1;
4412: PetscCall(ISGetIndices(pcbddc->is_R_local, &idx));
4413: for (PetscInt i = 0; i < n_R; i++) {
4414: const PetscInt e = graph->nodes[idx[i]].local_sub;
4415: const PetscInt s = 2 * e;
4416: PetscInt j;
4418: 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];
4419: 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];
4420: }
4421: PetscCall(ISRestoreIndices(pcbddc->is_R_local, &idx));
4422: PetscCall(ISGetIndices(pcis->is_B_local, &idx));
4423: for (PetscInt i = 0; i < n_B; i++) {
4424: const PetscInt e = graph->nodes[idx[i]].local_sub;
4425: const PetscInt s = 2 * e;
4426: PetscInt j;
4428: 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];
4429: 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];
4430: }
4431: PetscCall(ISRestoreIndices(pcis->is_B_local, &idx));
4433: /* permutation and blocksizes for block invert of S_CC */
4434: PetscInt *idxp;
4436: PetscCall(PetscMalloc1(n_constraints, &idxp));
4437: PetscCall(PetscMalloc1(n_el, &C_bss));
4438: n_C_bss = 0;
4439: for (PetscInt e = 0, cnt = 0; e < n_el; e++) {
4440: const PetscInt nc = count_eff[2 * e + 1];
4442: if (nc) C_bss[n_C_bss++] = nc;
4443: for (PetscInt c = 0; c < nc; c++) idxp[cnt + c] = C_eff_to_C[e * n_eff_constraints + c];
4444: cnt += nc;
4445: }
4447: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, n_constraints, idxp, PETSC_OWN_POINTER, &is_C_perm));
4449: PetscCall(PetscFree2(V_eff_to_V, C_eff_to_C));
4450: PetscCall(PetscFree(count_eff));
4451: } else {
4452: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, pcbddc->local_primal_size, pcbddc->local_primal_size, NULL, coarse_submat));
4453: n_eff_constraints = n_constraints;
4454: n_eff_vertices = n_vertices;
4455: }
4457: /* determine if can use MatSolve routines instead of calling KSPSolve on ksp_R */
4458: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_R));
4459: PetscCall(PCSetUp(pc_R));
4460: PetscCall(PetscObjectTypeCompare((PetscObject)pcbddc->ksp_R, KSPPREONLY, &isPreonly));
4461: PetscCall(PetscObjectTypeCompare((PetscObject)pc_R, PCLU, &isLU));
4462: PetscCall(PetscObjectTypeCompare((PetscObject)pc_R, PCCHOLESKY, &isCHOL));
4463: lda_rhs = n_R;
4464: need_benign_correction = PETSC_FALSE;
4465: F = NULL;
4466: if (isPreonly && (isLU || isCHOL)) {
4467: PetscCall(PCFactorGetMatrix(pc_R, &F));
4468: } else if (sub_schurs && sub_schurs->reuse_solver) {
4469: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4470: MatFactorType type;
4472: F = reuse_solver->F;
4473: PetscCall(MatGetFactorType(F, &type));
4474: if (type == MAT_FACTOR_CHOLESKY) isCHOL = PETSC_TRUE;
4475: if (type == MAT_FACTOR_LU) isLU = PETSC_TRUE;
4476: PetscCall(MatGetSize(F, &lda_rhs, NULL));
4477: need_benign_correction = (PetscBool)(!!reuse_solver->benign_n);
4478: }
4480: /* determine if we can use a sparse right-hand side */
4481: sparserhs = PETSC_FALSE;
4482: if (F && !multi_element) {
4483: MatSolverType solver;
4485: PetscCall(MatFactorGetSolverType(F, &solver));
4486: PetscCall(PetscStrcmp(solver, MATSOLVERMUMPS, &sparserhs));
4487: }
4489: /* create dummy vector to modify rhs and sol of MatMatSolve (work array will never be used) */
4490: dummy_vec = NULL;
4491: if (need_benign_correction && lda_rhs != n_R && F) {
4492: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &dummy_vec));
4493: PetscCall(VecSetSizes(dummy_vec, lda_rhs, PETSC_DECIDE));
4494: PetscCall(VecSetType(dummy_vec, ((PetscObject)pcis->vec1_N)->type_name));
4495: }
4497: PetscCall(MatDestroy(&pcbddc->local_auxmat1));
4498: PetscCall(MatDestroy(&pcbddc->local_auxmat2));
4500: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_R, 0, 1, &is_R));
4501: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_vertices, 0, 1, &is_V));
4502: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_constraints, n_vertices, 1, &is_C));
4503: PetscCall(ISGetIndices(is_V, &idx_V));
4504: PetscCall(ISGetIndices(is_C, &idx_C));
4506: /* Precompute stuffs needed for preprocessing and application of BDDC*/
4507: if (n_constraints) {
4508: Mat C_B;
4510: /* Extract constraints on R nodes: C_{CR} */
4511: PetscCall(MatCreateSubMatrix(pcbddc->ConstraintMatrix, is_C, pcbddc->is_R_local, MAT_INITIAL_MATRIX, &C_CR));
4512: PetscCall(MatCreateSubMatrix(pcbddc->ConstraintMatrix, is_C, pcis->is_B_local, MAT_INITIAL_MATRIX, &C_B));
4514: /* Assemble local_auxmat2_R = (- A_{RR}^{-1} C^T_{CR}) needed by BDDC setup */
4515: /* Assemble pcbddc->local_auxmat2 = R_to_B (- A_{RR}^{-1} C^T_{CR}) needed by BDDC application */
4516: if (!sparserhs) {
4517: PetscScalar *marr;
4519: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_constraints, NULL, &Brhs));
4520: PetscCall(MatDenseGetArrayWrite(Brhs, &marr));
4521: for (i = 0; i < n_constraints; i++) {
4522: const PetscScalar *row_cmat_values;
4523: const PetscInt *row_cmat_indices;
4524: PetscInt size_of_constraint, j, col = C_to_eff_C ? C_to_eff_C[i] : i;
4526: PetscCall(MatGetRow(C_CR, i, &size_of_constraint, &row_cmat_indices, &row_cmat_values));
4527: for (j = 0; j < size_of_constraint; j++) marr[row_cmat_indices[j] + col * lda_rhs] = -row_cmat_values[j];
4528: PetscCall(MatRestoreRow(C_CR, i, &size_of_constraint, &row_cmat_indices, &row_cmat_values));
4529: }
4530: PetscCall(MatDenseRestoreArrayWrite(Brhs, &marr));
4531: } else {
4532: Mat tC_CR;
4534: PetscCall(MatScale(C_CR, -1.0));
4535: if (lda_rhs != n_R) {
4536: PetscScalar *aa;
4537: PetscInt r, *ii, *jj;
4538: PetscBool done;
4540: PetscCall(MatGetRowIJ(C_CR, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4541: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "GetRowIJ failed");
4542: PetscCall(MatSeqAIJGetArray(C_CR, &aa));
4543: PetscCall(MatCreateSeqAIJWithArrays(PETSC_COMM_SELF, n_constraints, lda_rhs, ii, jj, aa, &tC_CR));
4544: PetscCall(MatRestoreRowIJ(C_CR, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4545: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "RestoreRowIJ failed");
4546: } else {
4547: PetscCall(PetscObjectReference((PetscObject)C_CR));
4548: tC_CR = C_CR;
4549: }
4550: PetscCall(MatCreateTranspose(tC_CR, &Brhs));
4551: PetscCall(MatDestroy(&tC_CR));
4552: }
4553: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_constraints, NULL, &local_auxmat2_R));
4554: if (F) {
4555: if (need_benign_correction) {
4556: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4558: /* rhs is already zero on interior dofs, no need to change the rhs */
4559: PetscCall(PetscArrayzero(reuse_solver->benign_save_vals, pcbddc->benign_n));
4560: }
4561: PetscCall(MatMatSolve(F, Brhs, local_auxmat2_R));
4562: if (need_benign_correction) {
4563: PetscScalar *marr;
4564: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4566: /* XXX multi_element? */
4567: PetscCall(MatDenseGetArray(local_auxmat2_R, &marr));
4568: if (lda_rhs != n_R) {
4569: for (i = 0; i < n_eff_constraints; i++) {
4570: PetscCall(VecPlaceArray(dummy_vec, marr + i * lda_rhs));
4571: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, dummy_vec, NULL, PETSC_TRUE, PETSC_TRUE));
4572: PetscCall(VecResetArray(dummy_vec));
4573: }
4574: } else {
4575: for (i = 0; i < n_eff_constraints; i++) {
4576: PetscCall(VecPlaceArray(pcbddc->vec1_R, marr + i * lda_rhs));
4577: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, pcbddc->vec1_R, NULL, PETSC_TRUE, PETSC_TRUE));
4578: PetscCall(VecResetArray(pcbddc->vec1_R));
4579: }
4580: }
4581: PetscCall(MatDenseRestoreArray(local_auxmat2_R, &marr));
4582: }
4583: } else {
4584: const PetscScalar *barr;
4585: PetscScalar *marr;
4587: PetscCall(MatDenseGetArrayRead(Brhs, &barr));
4588: PetscCall(MatDenseGetArray(local_auxmat2_R, &marr));
4589: for (i = 0; i < n_eff_constraints; i++) {
4590: PetscCall(VecPlaceArray(pcbddc->vec1_R, barr + i * lda_rhs));
4591: PetscCall(VecPlaceArray(pcbddc->vec2_R, marr + i * lda_rhs));
4592: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
4593: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
4594: PetscCall(VecResetArray(pcbddc->vec1_R));
4595: PetscCall(VecResetArray(pcbddc->vec2_R));
4596: }
4597: PetscCall(MatDenseRestoreArrayRead(Brhs, &barr));
4598: PetscCall(MatDenseRestoreArray(local_auxmat2_R, &marr));
4599: }
4600: if (sparserhs) PetscCall(MatScale(C_CR, -1.0));
4601: PetscCall(MatDestroy(&Brhs));
4602: /* Assemble explicitly S_CC = ( C_{CR} A_{RR}^{-1} C^T_{CR})^{-1} */
4603: if (!pcbddc->switch_static) {
4604: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, n_eff_constraints, NULL, &pcbddc->local_auxmat2));
4605: PetscCall(MatDenseScatter_Private(pcbddc->R_to_B, local_auxmat2_R, pcbddc->local_auxmat2, INSERT_VALUES, SCATTER_FORWARD));
4606: if (multi_element) {
4607: Mat T;
4609: PetscCall(MatCreateSeqAIJFromDenseExpand(local_auxmat2_R, n_constraints, R_eff_C_J, &T));
4610: PetscCall(MatDestroy(&local_auxmat2_R));
4611: local_auxmat2_R = T;
4612: PetscCall(MatCreateSeqAIJFromDenseExpand(pcbddc->local_auxmat2, n_constraints, B_eff_C_J, &T));
4613: PetscCall(MatDestroy(&pcbddc->local_auxmat2));
4614: pcbddc->local_auxmat2 = T;
4615: }
4616: PetscCall(MatMatMult(C_B, pcbddc->local_auxmat2, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &S_CC));
4617: } else {
4618: if (multi_element) {
4619: Mat T;
4621: PetscCall(MatCreateSeqAIJFromDenseExpand(local_auxmat2_R, n_constraints, R_eff_C_J, &T));
4622: PetscCall(MatDestroy(&local_auxmat2_R));
4623: local_auxmat2_R = T;
4624: }
4625: if (lda_rhs != n_R) {
4626: PetscCall(MatCreateSubMatrix(local_auxmat2_R, is_R, NULL, MAT_INITIAL_MATRIX, &pcbddc->local_auxmat2));
4627: } else {
4628: PetscCall(PetscObjectReference((PetscObject)local_auxmat2_R));
4629: pcbddc->local_auxmat2 = local_auxmat2_R;
4630: }
4631: PetscCall(MatMatMult(C_CR, pcbddc->local_auxmat2, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &S_CC));
4632: }
4633: PetscCall(MatScale(S_CC, m_one));
4634: if (multi_element) {
4635: Mat T, T2;
4636: IS isp, ispi;
4638: isp = is_C_perm;
4640: PetscCall(ISInvertPermutation(isp, PETSC_DECIDE, &ispi));
4641: PetscCall(MatPermute(S_CC, isp, isp, &T));
4642: PetscCall(MatSeqAIJInvertVariableBlockDiagonalMat(T, n_C_bss, C_bss, &T2));
4643: PetscCall(MatDestroy(&T));
4644: PetscCall(MatDestroy(&S_CC));
4645: PetscCall(MatPermute(T2, ispi, ispi, &S_CC));
4646: PetscCall(MatDestroy(&T2));
4647: PetscCall(ISDestroy(&ispi));
4648: } else {
4649: if (isCHOL) {
4650: PetscCall(MatCholeskyFactor(S_CC, NULL, NULL));
4651: } else {
4652: PetscCall(MatLUFactor(S_CC, NULL, NULL, NULL));
4653: }
4654: PetscCall(MatSeqDenseInvertFactors_Private(S_CC));
4655: }
4656: /* Assemble local_auxmat1 = S_CC*C_{CB} needed by BDDC application in KSP and in preproc */
4657: PetscCall(MatMatMult(S_CC, C_B, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &pcbddc->local_auxmat1));
4658: PetscCall(MatDestroy(&C_B));
4659: PetscCall(MatSetValuesSubMat(*coarse_submat, S_CC, n_constraints, idx_C, n_constraints, idx_C, INSERT_VALUES));
4660: }
4662: /* Get submatrices from subdomain matrix */
4663: if (n_vertices) {
4664: #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA)
4665: PetscBool oldpin;
4666: #endif
4667: IS is_aux;
4669: if (sub_schurs && sub_schurs->reuse_solver) { /* is_R_local is not sorted, ISComplement doesn't like it */
4670: IS tis;
4672: PetscCall(ISDuplicate(pcbddc->is_R_local, &tis));
4673: PetscCall(ISSort(tis));
4674: PetscCall(ISComplement(tis, 0, pcis->n, &is_aux));
4675: PetscCall(ISDestroy(&tis));
4676: } else {
4677: PetscCall(ISComplement(pcbddc->is_R_local, 0, pcis->n, &is_aux));
4678: }
4679: #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA)
4680: oldpin = pcbddc->local_mat->boundtocpu;
4681: #endif
4682: PetscCall(MatBindToCPU(pcbddc->local_mat, PETSC_TRUE));
4683: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, pcbddc->is_R_local, is_aux, MAT_INITIAL_MATRIX, &A_RV));
4684: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, is_aux, pcbddc->is_R_local, MAT_INITIAL_MATRIX, &A_VR));
4685: /* TODO REMOVE: MatMatMult(A_VR,A_RRmA_RV) below may raise an error */
4686: PetscCall(MatConvert(A_VR, MATSEQAIJ, MAT_INPLACE_MATRIX, &A_VR));
4687: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, is_aux, is_aux, MAT_INITIAL_MATRIX, &A_VV));
4688: #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA)
4689: PetscCall(MatBindToCPU(pcbddc->local_mat, oldpin));
4690: #endif
4691: PetscCall(ISDestroy(&is_aux));
4692: }
4693: PetscCall(ISDestroy(&is_C_perm));
4694: PetscCall(PetscFree(C_bss));
4696: p0_lidx_I = NULL;
4697: if (pcbddc->benign_n && (pcbddc->switch_static || pcbddc->dbg_flag)) {
4698: const PetscInt *idxs;
4700: PetscCall(ISGetIndices(pcis->is_I_local, &idxs));
4701: PetscCall(PetscMalloc1(pcbddc->benign_n, &p0_lidx_I));
4702: 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]));
4703: PetscCall(ISRestoreIndices(pcis->is_I_local, &idxs));
4704: }
4706: /* We are now ready to evaluate coarse basis functions and subdomain contribution to coarse problem */
4708: /* Matrices of coarse basis functions (local) */
4709: PetscCall(MatDestroy(&pcbddc->coarse_phi_B));
4710: PetscCall(MatDestroy(&pcbddc->coarse_psi_B));
4711: PetscCall(MatDestroy(&pcbddc->coarse_phi_D));
4712: PetscCall(MatDestroy(&pcbddc->coarse_psi_D));
4713: if (!multi_element) {
4714: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, pcbddc->local_primal_size, NULL, &pcbddc->coarse_phi_B));
4715: if (pcbddc->switch_static || pcbddc->dbg_flag) PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_D, pcbddc->local_primal_size, NULL, &pcbddc->coarse_phi_D));
4716: coarse_phi_multi = NULL;
4717: } else { /* Create temporary NEST matrix to hold coarse basis functions blocks */
4718: IS is_rows[2] = {pcbddc->is_R_local, NULL};
4719: IS is_cols[2] = {is_V, is_C};
4721: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, n_vertices, pcbddc->local_primal_ref_node, PETSC_USE_POINTER, &is_rows[1]));
4722: PetscCall(MatCreateNest(PETSC_COMM_SELF, 2, is_rows, 2, is_cols, NULL, &coarse_phi_multi));
4723: PetscCall(ISDestroy(&is_rows[1]));
4724: }
4726: /* vertices */
4727: if (n_vertices) {
4728: PetscBool restoreavr = PETSC_FALSE;
4729: Mat A_RRmA_RV = NULL;
4731: PetscCall(MatSetValuesSubMat(*coarse_submat, A_VV, n_vertices, idx_V, n_vertices, idx_V, ADD_VALUES));
4732: PetscCall(MatDestroy(&A_VV));
4734: if (n_R) {
4735: Mat A_RV_bcorr = NULL, S_VV;
4737: PetscCall(MatScale(A_RV, m_one));
4738: if (need_benign_correction) {
4739: ISLocalToGlobalMapping RtoN;
4740: IS is_p0;
4741: PetscInt *idxs_p0, n;
4743: PetscCall(PetscMalloc1(pcbddc->benign_n, &idxs_p0));
4744: PetscCall(ISLocalToGlobalMappingCreateIS(pcbddc->is_R_local, &RtoN));
4745: PetscCall(ISGlobalToLocalMappingApply(RtoN, IS_GTOLM_DROP, pcbddc->benign_n, pcbddc->benign_p0_lidx, &n, idxs_p0));
4746: 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);
4747: PetscCall(ISLocalToGlobalMappingDestroy(&RtoN));
4748: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, n, idxs_p0, PETSC_OWN_POINTER, &is_p0));
4749: PetscCall(MatCreateSubMatrix(A_RV, is_p0, NULL, MAT_INITIAL_MATRIX, &A_RV_bcorr));
4750: PetscCall(ISDestroy(&is_p0));
4751: }
4753: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_vertices, NULL, &A_RRmA_RV));
4754: if (!sparserhs || need_benign_correction) {
4755: if (lda_rhs == n_R && !multi_element) {
4756: PetscCall(MatConvert(A_RV, MATDENSE, MAT_INPLACE_MATRIX, &A_RV));
4757: } else {
4758: Mat T;
4759: PetscScalar *av, *array;
4760: const PetscInt *xadj, *adjncy;
4761: PetscInt n;
4762: PetscBool flg_row;
4764: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_vertices, NULL, &T));
4765: PetscCall(MatDenseGetArrayWrite(T, &array));
4766: PetscCall(MatConvert(A_RV, MATSEQAIJ, MAT_INPLACE_MATRIX, &A_RV));
4767: PetscCall(MatGetRowIJ(A_RV, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
4768: PetscCall(MatSeqAIJGetArray(A_RV, &av));
4769: for (i = 0; i < n; i++) {
4770: PetscInt j;
4771: 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];
4772: }
4773: PetscCall(MatRestoreRowIJ(A_RV, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
4774: PetscCall(MatDenseRestoreArrayWrite(T, &array));
4775: PetscCall(MatDestroy(&A_RV));
4776: A_RV = T;
4777: }
4778: if (need_benign_correction) {
4779: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4780: PetscScalar *marr;
4782: /* XXX multi_element */
4783: PetscCall(MatDenseGetArray(A_RV, &marr));
4784: /* need \Phi^T A_RV = (I+L)A_RV, L given by
4786: | 0 0 0 | (V)
4787: L = | 0 0 -1 | (P-p0)
4788: | 0 0 -1 | (p0)
4790: */
4791: for (i = 0; i < reuse_solver->benign_n; i++) {
4792: const PetscScalar *vals;
4793: const PetscInt *idxs, *idxs_zero;
4794: PetscInt n, j, nz;
4796: PetscCall(ISGetLocalSize(reuse_solver->benign_zerodiag_subs[i], &nz));
4797: PetscCall(ISGetIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4798: PetscCall(MatGetRow(A_RV_bcorr, i, &n, &idxs, &vals));
4799: for (j = 0; j < n; j++) {
4800: PetscScalar val = vals[j];
4801: PetscInt k, col = idxs[j];
4802: for (k = 0; k < nz; k++) marr[idxs_zero[k] + lda_rhs * col] -= val;
4803: }
4804: PetscCall(MatRestoreRow(A_RV_bcorr, i, &n, &idxs, &vals));
4805: PetscCall(ISRestoreIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4806: }
4807: PetscCall(MatDenseRestoreArray(A_RV, &marr));
4808: }
4809: PetscCall(PetscObjectReference((PetscObject)A_RV));
4810: Brhs = A_RV;
4811: } else {
4812: Mat tA_RVT, A_RVT;
4814: if (!pcbddc->symmetric_primal) {
4815: /* A_RV already scaled by -1 */
4816: PetscCall(MatTranspose(A_RV, MAT_INITIAL_MATRIX, &A_RVT));
4817: } else {
4818: restoreavr = PETSC_TRUE;
4819: PetscCall(MatScale(A_VR, -1.0));
4820: PetscCall(PetscObjectReference((PetscObject)A_VR));
4821: A_RVT = A_VR;
4822: }
4823: if (lda_rhs != n_R) {
4824: PetscScalar *aa;
4825: PetscInt r, *ii, *jj;
4826: PetscBool done;
4828: PetscCall(MatGetRowIJ(A_RVT, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4829: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "GetRowIJ failed");
4830: PetscCall(MatSeqAIJGetArray(A_RVT, &aa));
4831: PetscCall(MatCreateSeqAIJWithArrays(PETSC_COMM_SELF, n_vertices, lda_rhs, ii, jj, aa, &tA_RVT));
4832: PetscCall(MatRestoreRowIJ(A_RVT, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4833: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "RestoreRowIJ failed");
4834: } else {
4835: PetscCall(PetscObjectReference((PetscObject)A_RVT));
4836: tA_RVT = A_RVT;
4837: }
4838: PetscCall(MatCreateTranspose(tA_RVT, &Brhs));
4839: PetscCall(MatDestroy(&tA_RVT));
4840: PetscCall(MatDestroy(&A_RVT));
4841: }
4842: if (F) {
4843: /* need to correct the rhs */
4844: if (need_benign_correction) {
4845: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4846: PetscScalar *marr;
4848: PetscCall(MatDenseGetArray(Brhs, &marr));
4849: if (lda_rhs != n_R) {
4850: for (i = 0; i < n_eff_vertices; i++) {
4851: PetscCall(VecPlaceArray(dummy_vec, marr + i * lda_rhs));
4852: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, dummy_vec, NULL, PETSC_FALSE, PETSC_TRUE));
4853: PetscCall(VecResetArray(dummy_vec));
4854: }
4855: } else {
4856: for (i = 0; i < n_eff_vertices; i++) {
4857: PetscCall(VecPlaceArray(pcbddc->vec1_R, marr + i * lda_rhs));
4858: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, pcbddc->vec1_R, NULL, PETSC_FALSE, PETSC_TRUE));
4859: PetscCall(VecResetArray(pcbddc->vec1_R));
4860: }
4861: }
4862: PetscCall(MatDenseRestoreArray(Brhs, &marr));
4863: }
4864: PetscCall(MatMatSolve(F, Brhs, A_RRmA_RV));
4865: if (restoreavr) PetscCall(MatScale(A_VR, -1.0));
4866: /* need to correct the solution */
4867: if (need_benign_correction) {
4868: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4869: PetscScalar *marr;
4871: PetscCall(MatDenseGetArray(A_RRmA_RV, &marr));
4872: if (lda_rhs != n_R) {
4873: for (i = 0; i < n_eff_vertices; i++) {
4874: PetscCall(VecPlaceArray(dummy_vec, marr + i * lda_rhs));
4875: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, dummy_vec, NULL, PETSC_TRUE, PETSC_TRUE));
4876: PetscCall(VecResetArray(dummy_vec));
4877: }
4878: } else {
4879: for (i = 0; i < n_eff_vertices; i++) {
4880: PetscCall(VecPlaceArray(pcbddc->vec1_R, marr + i * lda_rhs));
4881: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, pcbddc->vec1_R, NULL, PETSC_TRUE, PETSC_TRUE));
4882: PetscCall(VecResetArray(pcbddc->vec1_R));
4883: }
4884: }
4885: PetscCall(MatDenseRestoreArray(A_RRmA_RV, &marr));
4886: }
4887: } else {
4888: const PetscScalar *barr;
4889: PetscScalar *marr;
4891: PetscCall(MatDenseGetArrayRead(Brhs, &barr));
4892: PetscCall(MatDenseGetArray(A_RRmA_RV, &marr));
4893: for (i = 0; i < n_eff_vertices; i++) {
4894: PetscCall(VecPlaceArray(pcbddc->vec1_R, barr + i * lda_rhs));
4895: PetscCall(VecPlaceArray(pcbddc->vec2_R, marr + i * lda_rhs));
4896: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
4897: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
4898: PetscCall(VecResetArray(pcbddc->vec1_R));
4899: PetscCall(VecResetArray(pcbddc->vec2_R));
4900: }
4901: PetscCall(MatDenseRestoreArrayRead(Brhs, &barr));
4902: PetscCall(MatDenseRestoreArray(A_RRmA_RV, &marr));
4903: }
4904: PetscCall(MatDestroy(&A_RV));
4905: PetscCall(MatDestroy(&Brhs));
4906: /* S_VV and S_CV */
4907: if (n_constraints) {
4908: Mat B;
4910: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, n_eff_vertices, NULL, &B));
4911: PetscCall(MatDenseScatter_Private(pcbddc->R_to_B, A_RRmA_RV, B, INSERT_VALUES, SCATTER_FORWARD));
4913: /* S_CV = pcbddc->local_auxmat1 * B */
4914: if (multi_element) {
4915: Mat T;
4917: PetscCall(MatCreateSeqAIJFromDenseExpand(B, n_vertices, B_eff_V_J, &T));
4918: PetscCall(MatDestroy(&B));
4919: B = T;
4920: }
4921: PetscCall(MatProductCreate(pcbddc->local_auxmat1, B, NULL, &S_CV));
4922: PetscCall(MatProductSetType(S_CV, MATPRODUCT_AB));
4923: PetscCall(MatProductSetFromOptions(S_CV));
4924: PetscCall(MatProductSymbolic(S_CV));
4925: PetscCall(MatProductNumeric(S_CV));
4926: PetscCall(MatProductClear(S_CV));
4927: PetscCall(MatDestroy(&B));
4929: /* B = local_auxmat2_R * S_CV */
4930: PetscCall(MatProductCreate(local_auxmat2_R, S_CV, NULL, &B));
4931: PetscCall(MatProductSetType(B, MATPRODUCT_AB));
4932: PetscCall(MatProductSetFromOptions(B));
4933: PetscCall(MatProductSymbolic(B));
4934: PetscCall(MatProductNumeric(B));
4936: PetscCall(MatScale(S_CV, m_one));
4937: PetscCall(MatSetValuesSubMat(*coarse_submat, S_CV, n_constraints, idx_C, n_vertices, idx_V, INSERT_VALUES));
4939: if (multi_element) {
4940: Mat T;
4942: PetscCall(MatCreateSeqAIJFromDenseExpand(A_RRmA_RV, n_vertices, R_eff_V_J, &T));
4943: PetscCall(MatDestroy(&A_RRmA_RV));
4944: A_RRmA_RV = T;
4945: }
4946: PetscCall(MatAXPY(A_RRmA_RV, 1.0, B, UNKNOWN_NONZERO_PATTERN)); /* XXX ? */
4947: PetscCall(MatDestroy(&B));
4948: } else if (multi_element) {
4949: Mat T;
4951: PetscCall(MatCreateSeqAIJFromDenseExpand(A_RRmA_RV, n_vertices, R_eff_V_J, &T));
4952: PetscCall(MatDestroy(&A_RRmA_RV));
4953: A_RRmA_RV = T;
4954: }
4956: if (lda_rhs != n_R) {
4957: Mat T;
4959: PetscCall(MatCreateSubMatrix(A_RRmA_RV, is_R, NULL, MAT_INITIAL_MATRIX, &T));
4960: PetscCall(MatDestroy(&A_RRmA_RV));
4961: A_RRmA_RV = T;
4962: }
4964: /* need A_VR * \Phi * A_RRmA_RV = A_VR * (I+L)^T * A_RRmA_RV, L given as before */
4965: if (need_benign_correction) { /* XXX SPARSE */
4966: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4967: PetscScalar *sums;
4968: const PetscScalar *marr;
4970: PetscCall(MatDenseGetArrayRead(A_RRmA_RV, &marr));
4971: PetscCall(PetscMalloc1(n_vertices, &sums));
4972: for (i = 0; i < reuse_solver->benign_n; i++) {
4973: const PetscScalar *vals;
4974: const PetscInt *idxs, *idxs_zero;
4975: PetscInt n, j, nz;
4977: PetscCall(ISGetLocalSize(reuse_solver->benign_zerodiag_subs[i], &nz));
4978: PetscCall(ISGetIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4979: for (j = 0; j < n_vertices; j++) {
4980: sums[j] = 0.;
4981: for (PetscInt k = 0; k < nz; k++) sums[j] += marr[idxs_zero[k] + j * n_R];
4982: }
4983: PetscCall(MatGetRow(A_RV_bcorr, i, &n, &idxs, &vals));
4984: for (j = 0; j < n; j++) {
4985: PetscScalar val = vals[j];
4986: for (PetscInt k = 0; k < n_vertices; k++) PetscCall(MatSetValue(*coarse_submat, idx_V[idxs[j]], idx_V[k], val * sums[k], ADD_VALUES));
4987: }
4988: PetscCall(MatRestoreRow(A_RV_bcorr, i, &n, &idxs, &vals));
4989: PetscCall(ISRestoreIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4990: }
4991: PetscCall(PetscFree(sums));
4992: PetscCall(MatDestroy(&A_RV_bcorr));
4993: PetscCall(MatDenseRestoreArrayRead(A_RRmA_RV, &marr));
4994: }
4996: PetscCall(MatMatMult(A_VR, A_RRmA_RV, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &S_VV));
4997: PetscCall(MatSetValuesSubMat(*coarse_submat, S_VV, n_vertices, idx_V, n_vertices, idx_V, ADD_VALUES));
4998: PetscCall(MatDestroy(&S_VV));
4999: }
5001: /* coarse basis functions */
5002: if (coarse_phi_multi) {
5003: Mat Vid;
5005: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, n_vertices, n_vertices, 1, NULL, &Vid));
5006: PetscCall(MatShift_Basic(Vid, 1.0));
5007: PetscCall(MatNestSetSubMat(coarse_phi_multi, 0, 0, A_RRmA_RV));
5008: PetscCall(MatNestSetSubMat(coarse_phi_multi, 1, 0, Vid));
5009: PetscCall(MatDestroy(&Vid));
5010: } else {
5011: if (A_RRmA_RV) {
5012: Mat B;
5014: PetscCall(MatDenseGetSubMatrix(pcbddc->coarse_phi_B, PETSC_DECIDE, PETSC_DECIDE, 0, n_vertices, &B));
5015: PetscCall(MatDenseScatter_Private(pcbddc->R_to_B, A_RRmA_RV, B, INSERT_VALUES, SCATTER_FORWARD));
5016: PetscCall(MatDenseRestoreSubMatrix(pcbddc->coarse_phi_B, &B));
5017: if (pcbddc->switch_static || pcbddc->dbg_flag) {
5018: PetscCall(MatDenseGetSubMatrix(pcbddc->coarse_phi_D, PETSC_DECIDE, PETSC_DECIDE, 0, n_vertices, &B));
5019: PetscCall(MatDenseScatter_Private(pcbddc->R_to_D, A_RRmA_RV, B, INSERT_VALUES, SCATTER_FORWARD));
5020: PetscCall(MatDenseRestoreSubMatrix(pcbddc->coarse_phi_D, &B));
5021: if (pcbddc->benign_n) {
5022: for (i = 0; i < n_vertices; i++) PetscCall(MatSetValues(pcbddc->coarse_phi_D, pcbddc->benign_n, p0_lidx_I, 1, &i, NULL, INSERT_VALUES));
5023: PetscCall(MatAssemblyBegin(pcbddc->coarse_phi_D, MAT_FINAL_ASSEMBLY));
5024: PetscCall(MatAssemblyEnd(pcbddc->coarse_phi_D, MAT_FINAL_ASSEMBLY));
5025: }
5026: }
5027: }
5028: for (i = 0; i < n_vertices; i++) PetscCall(MatSetValues(pcbddc->coarse_phi_B, 1, &idx_V_B[i], 1, &i, &one, INSERT_VALUES));
5029: PetscCall(MatAssemblyBegin(pcbddc->coarse_phi_B, MAT_FINAL_ASSEMBLY));
5030: PetscCall(MatAssemblyEnd(pcbddc->coarse_phi_B, MAT_FINAL_ASSEMBLY));
5031: }
5032: PetscCall(MatDestroy(&A_RRmA_RV));
5033: }
5034: PetscCall(MatDestroy(&A_RV));
5035: PetscCall(VecDestroy(&dummy_vec));
5037: if (n_constraints) {
5038: Mat B, B2;
5040: PetscCall(MatScale(S_CC, m_one));
5041: PetscCall(MatProductCreate(local_auxmat2_R, S_CC, NULL, &B));
5042: PetscCall(MatProductSetType(B, MATPRODUCT_AB));
5043: PetscCall(MatProductSetFromOptions(B));
5044: PetscCall(MatProductSymbolic(B));
5045: PetscCall(MatProductNumeric(B));
5047: if (n_vertices) {
5048: if (isCHOL || need_benign_correction) { /* if we can solve the interior problem with cholesky, we should also be fine with transposing here */
5049: PetscCall(MatTranspose(S_CV, MAT_INITIAL_MATRIX, &S_VC));
5050: } else {
5051: if (lda_rhs != n_R) {
5052: Mat tB;
5054: PetscCall(MatCreateSubMatrix(B, is_R, NULL, MAT_INITIAL_MATRIX, &tB));
5055: PetscCall(MatDestroy(&B));
5056: B = tB;
5057: }
5058: PetscCall(MatMatMult(A_VR, B, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &S_VC));
5059: }
5060: PetscCall(MatSetValuesSubMat(*coarse_submat, S_VC, n_vertices, idx_V, n_constraints, idx_C, INSERT_VALUES));
5061: }
5063: /* coarse basis functions */
5064: if (coarse_phi_multi) {
5065: PetscCall(MatNestSetSubMat(coarse_phi_multi, 0, 1, B));
5066: } else {
5067: PetscCall(MatDenseGetSubMatrix(pcbddc->coarse_phi_B, PETSC_DECIDE, PETSC_DECIDE, n_vertices, n_vertices + n_constraints, &B2));
5068: PetscCall(MatDenseScatter_Private(pcbddc->R_to_B, B, B2, INSERT_VALUES, SCATTER_FORWARD));
5069: PetscCall(MatDenseRestoreSubMatrix(pcbddc->coarse_phi_B, &B2));
5070: if (pcbddc->switch_static || pcbddc->dbg_flag) {
5071: PetscCall(MatDenseGetSubMatrix(pcbddc->coarse_phi_D, PETSC_DECIDE, PETSC_DECIDE, n_vertices, n_vertices + n_constraints, &B2));
5072: PetscCall(MatDenseScatter_Private(pcbddc->R_to_D, B, B2, INSERT_VALUES, SCATTER_FORWARD));
5073: if (pcbddc->benign_n) {
5074: for (i = 0; i < n_constraints; i++) PetscCall(MatSetValues(B2, pcbddc->benign_n, p0_lidx_I, 1, &i, NULL, INSERT_VALUES));
5075: }
5076: PetscCall(MatDenseRestoreSubMatrix(pcbddc->coarse_phi_D, &B2));
5077: }
5078: }
5079: PetscCall(MatDestroy(&B));
5080: }
5082: /* assemble sparse coarse basis functions */
5083: if (coarse_phi_multi) {
5084: Mat T;
5086: PetscCall(MatConvert(coarse_phi_multi, MATSEQAIJ, MAT_INITIAL_MATRIX, &T));
5087: PetscCall(MatDestroy(&coarse_phi_multi));
5088: PetscCall(MatCreateSubMatrix(T, pcis->is_B_local, NULL, MAT_INITIAL_MATRIX, &pcbddc->coarse_phi_B));
5089: if (pcbddc->switch_static || pcbddc->dbg_flag) PetscCall(MatCreateSubMatrix(T, pcis->is_I_local, NULL, MAT_INITIAL_MATRIX, &pcbddc->coarse_phi_D));
5090: PetscCall(MatDestroy(&T));
5091: }
5092: PetscCall(MatDestroy(&local_auxmat2_R));
5093: PetscCall(PetscFree(p0_lidx_I));
5095: /* coarse matrix entries relative to B_0 */
5096: if (pcbddc->benign_n) {
5097: Mat B0_B, B0_BPHI;
5098: IS is_dummy;
5099: const PetscScalar *data;
5100: PetscInt j;
5102: PetscCall(ISCreateStride(PETSC_COMM_SELF, pcbddc->benign_n, 0, 1, &is_dummy));
5103: PetscCall(MatCreateSubMatrix(pcbddc->benign_B0, is_dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &B0_B));
5104: PetscCall(ISDestroy(&is_dummy));
5105: PetscCall(MatMatMult(B0_B, pcbddc->coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &B0_BPHI));
5106: PetscCall(MatConvert(B0_BPHI, MATSEQDENSE, MAT_INPLACE_MATRIX, &B0_BPHI));
5107: PetscCall(MatDenseGetArrayRead(B0_BPHI, &data));
5108: for (j = 0; j < pcbddc->benign_n; j++) {
5109: PetscInt primal_idx = pcbddc->local_primal_size - pcbddc->benign_n + j;
5110: for (i = 0; i < pcbddc->local_primal_size; i++) {
5111: PetscCall(MatSetValue(*coarse_submat, primal_idx, i, data[i * pcbddc->benign_n + j], INSERT_VALUES));
5112: PetscCall(MatSetValue(*coarse_submat, i, primal_idx, data[i * pcbddc->benign_n + j], INSERT_VALUES));
5113: }
5114: }
5115: PetscCall(MatDenseRestoreArrayRead(B0_BPHI, &data));
5116: PetscCall(MatDestroy(&B0_B));
5117: PetscCall(MatDestroy(&B0_BPHI));
5118: }
5120: /* compute other basis functions for non-symmetric problems */
5121: if (!pcbddc->symmetric_primal) {
5122: Mat B_V = NULL, B_C = NULL;
5123: PetscScalar *marray, *work;
5125: /* TODO multi_element MatDenseScatter */
5126: if (n_constraints) {
5127: Mat S_CCT, C_CRT;
5129: PetscCall(MatScale(S_CC, m_one));
5130: PetscCall(MatTranspose(C_CR, MAT_INITIAL_MATRIX, &C_CRT));
5131: PetscCall(MatTranspose(S_CC, MAT_INITIAL_MATRIX, &S_CCT));
5132: PetscCall(MatMatMult(C_CRT, S_CCT, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &B_C));
5133: PetscCall(MatConvert(B_C, MATDENSE, MAT_INPLACE_MATRIX, &B_C));
5134: PetscCall(MatDestroy(&S_CCT));
5135: if (n_vertices) {
5136: Mat S_VCT;
5138: PetscCall(MatTranspose(S_VC, MAT_INITIAL_MATRIX, &S_VCT));
5139: PetscCall(MatMatMult(C_CRT, S_VCT, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &B_V));
5140: PetscCall(MatDestroy(&S_VCT));
5141: PetscCall(MatConvert(B_V, MATDENSE, MAT_INPLACE_MATRIX, &B_V));
5142: }
5143: PetscCall(MatDestroy(&C_CRT));
5144: } else {
5145: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_R, n_vertices, NULL, &B_V));
5146: }
5147: if (n_vertices && n_R) {
5148: PetscScalar *av, *marray;
5149: const PetscInt *xadj, *adjncy;
5150: PetscInt n;
5151: PetscBool flg_row;
5153: /* B_V = B_V - A_VR^T */
5154: PetscCall(MatConvert(A_VR, MATSEQAIJ, MAT_INPLACE_MATRIX, &A_VR));
5155: PetscCall(MatGetRowIJ(A_VR, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
5156: PetscCall(MatSeqAIJGetArray(A_VR, &av));
5157: PetscCall(MatDenseGetArray(B_V, &marray));
5158: for (i = 0; i < n; i++) {
5159: PetscInt j;
5160: for (j = xadj[i]; j < xadj[i + 1]; j++) marray[i * n_R + adjncy[j]] -= av[j];
5161: }
5162: PetscCall(MatDenseRestoreArray(B_V, &marray));
5163: PetscCall(MatRestoreRowIJ(A_VR, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
5164: PetscCall(MatDestroy(&A_VR));
5165: }
5167: /* currently there's no support for MatTransposeMatSolve(F,B,X) */
5168: PetscCall(PetscMalloc1(n_R * pcbddc->local_primal_size, &work));
5169: if (n_vertices) {
5170: PetscCall(MatDenseGetArray(B_V, &marray));
5171: for (i = 0; i < n_vertices; i++) {
5172: PetscCall(VecPlaceArray(pcbddc->vec1_R, marray + i * n_R));
5173: PetscCall(VecPlaceArray(pcbddc->vec2_R, work + i * n_R));
5174: PetscCall(KSPSolveTranspose(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
5175: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
5176: PetscCall(VecResetArray(pcbddc->vec1_R));
5177: PetscCall(VecResetArray(pcbddc->vec2_R));
5178: }
5179: PetscCall(MatDenseRestoreArray(B_V, &marray));
5180: }
5181: if (B_C) {
5182: PetscCall(MatDenseGetArray(B_C, &marray));
5183: for (i = n_vertices; i < n_constraints + n_vertices; i++) {
5184: PetscCall(VecPlaceArray(pcbddc->vec1_R, marray + (i - n_vertices) * n_R));
5185: PetscCall(VecPlaceArray(pcbddc->vec2_R, work + i * n_R));
5186: PetscCall(KSPSolveTranspose(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
5187: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
5188: PetscCall(VecResetArray(pcbddc->vec1_R));
5189: PetscCall(VecResetArray(pcbddc->vec2_R));
5190: }
5191: PetscCall(MatDenseRestoreArray(B_C, &marray));
5192: }
5193: /* coarse basis functions */
5194: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, pcbddc->local_primal_size, NULL, &pcbddc->coarse_psi_B));
5195: if (pcbddc->switch_static || pcbddc->dbg_flag) PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_D, pcbddc->local_primal_size, NULL, &pcbddc->coarse_psi_D));
5196: for (i = 0; i < pcbddc->local_primal_size; i++) {
5197: Vec v;
5199: PetscCall(VecPlaceArray(pcbddc->vec1_R, work + i * n_R));
5200: PetscCall(MatDenseGetColumnVec(pcbddc->coarse_psi_B, i, &v));
5201: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5202: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5203: if (i < n_vertices) {
5204: PetscScalar one = 1.0;
5205: PetscCall(VecSetValues(v, 1, &idx_V_B[i], &one, INSERT_VALUES));
5206: PetscCall(VecAssemblyBegin(v));
5207: PetscCall(VecAssemblyEnd(v));
5208: }
5209: PetscCall(MatDenseRestoreColumnVec(pcbddc->coarse_psi_B, i, &v));
5211: if (pcbddc->switch_static || pcbddc->dbg_flag) {
5212: PetscCall(MatDenseGetColumnVec(pcbddc->coarse_psi_D, i, &v));
5213: PetscCall(VecScatterBegin(pcbddc->R_to_D, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5214: PetscCall(VecScatterEnd(pcbddc->R_to_D, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5215: PetscCall(MatDenseRestoreColumnVec(pcbddc->coarse_psi_D, i, &v));
5216: }
5217: PetscCall(VecResetArray(pcbddc->vec1_R));
5218: }
5219: PetscCall(MatDestroy(&B_V));
5220: PetscCall(MatDestroy(&B_C));
5221: PetscCall(PetscFree(work));
5222: } else {
5223: PetscCall(PetscObjectReference((PetscObject)pcbddc->coarse_phi_B));
5224: pcbddc->coarse_psi_B = pcbddc->coarse_phi_B;
5225: PetscCall(PetscObjectReference((PetscObject)pcbddc->coarse_phi_D));
5226: pcbddc->coarse_psi_D = pcbddc->coarse_phi_D;
5227: }
5228: PetscCall(MatAssemblyBegin(*coarse_submat, MAT_FINAL_ASSEMBLY));
5229: PetscCall(MatAssemblyEnd(*coarse_submat, MAT_FINAL_ASSEMBLY));
5231: /* free memory */
5232: PetscCall(PetscFree(V_to_eff_V));
5233: PetscCall(PetscFree(C_to_eff_C));
5234: PetscCall(PetscFree(R_eff_V_J));
5235: PetscCall(PetscFree(R_eff_C_J));
5236: PetscCall(PetscFree(B_eff_V_J));
5237: PetscCall(PetscFree(B_eff_C_J));
5238: PetscCall(ISDestroy(&is_R));
5239: PetscCall(ISRestoreIndices(is_V, &idx_V));
5240: PetscCall(ISRestoreIndices(is_C, &idx_C));
5241: PetscCall(ISDestroy(&is_V));
5242: PetscCall(ISDestroy(&is_C));
5243: PetscCall(PetscFree(idx_V_B));
5244: PetscCall(MatDestroy(&S_CV));
5245: PetscCall(MatDestroy(&S_VC));
5246: PetscCall(MatDestroy(&S_CC));
5247: if (n_vertices) PetscCall(MatDestroy(&A_VR));
5248: if (n_constraints) PetscCall(MatDestroy(&C_CR));
5249: PetscCall(PetscLogEventEnd(PC_BDDC_CorrectionSetUp[pcbddc->current_level], pc, 0, 0, 0));
5251: /* Checking coarse_sub_mat and coarse basis functions */
5252: /* Symmetric case : It should be \Phi^{(j)^T} A^{(j)} \Phi^{(j)}=coarse_sub_mat */
5253: /* Non-symmetric case : It should be \Psi^{(j)^T} A^{(j)} \Phi^{(j)}=coarse_sub_mat */
5254: if (pcbddc->dbg_flag) {
5255: Mat AUXMAT, TM1, TM2, TM3, TM4;
5256: Mat coarse_phi_D, coarse_phi_B;
5257: Mat coarse_psi_D, coarse_psi_B;
5258: Mat A_II, A_BB, A_IB, A_BI;
5259: Mat C_B, CPHI;
5260: IS is_dummy;
5261: Vec mones;
5262: MatType checkmattype = MATSEQAIJ;
5263: PetscReal real_value;
5265: if (pcbddc->benign_n && !pcbddc->benign_change_explicit) {
5266: Mat A;
5267: PetscCall(PCBDDCBenignProject(pc, NULL, NULL, &A));
5268: PetscCall(MatCreateSubMatrix(A, pcis->is_I_local, pcis->is_I_local, MAT_INITIAL_MATRIX, &A_II));
5269: PetscCall(MatCreateSubMatrix(A, pcis->is_I_local, pcis->is_B_local, MAT_INITIAL_MATRIX, &A_IB));
5270: PetscCall(MatCreateSubMatrix(A, pcis->is_B_local, pcis->is_I_local, MAT_INITIAL_MATRIX, &A_BI));
5271: PetscCall(MatCreateSubMatrix(A, pcis->is_B_local, pcis->is_B_local, MAT_INITIAL_MATRIX, &A_BB));
5272: PetscCall(MatDestroy(&A));
5273: } else {
5274: PetscCall(MatConvert(pcis->A_II, checkmattype, MAT_INITIAL_MATRIX, &A_II));
5275: PetscCall(MatConvert(pcis->A_IB, checkmattype, MAT_INITIAL_MATRIX, &A_IB));
5276: PetscCall(MatConvert(pcis->A_BI, checkmattype, MAT_INITIAL_MATRIX, &A_BI));
5277: PetscCall(MatConvert(pcis->A_BB, checkmattype, MAT_INITIAL_MATRIX, &A_BB));
5278: }
5279: PetscCall(MatConvert(pcbddc->coarse_phi_D, checkmattype, MAT_INITIAL_MATRIX, &coarse_phi_D));
5280: PetscCall(MatConvert(pcbddc->coarse_phi_B, checkmattype, MAT_INITIAL_MATRIX, &coarse_phi_B));
5281: if (!pcbddc->symmetric_primal) {
5282: PetscCall(MatConvert(pcbddc->coarse_psi_D, checkmattype, MAT_INITIAL_MATRIX, &coarse_psi_D));
5283: PetscCall(MatConvert(pcbddc->coarse_psi_B, checkmattype, MAT_INITIAL_MATRIX, &coarse_psi_B));
5284: }
5285: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
5286: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Check coarse sub mat computation (symmetric %d)\n", pcbddc->symmetric_primal));
5287: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5288: if (!pcbddc->symmetric_primal) {
5289: PetscCall(MatMatMult(A_II, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5290: PetscCall(MatTransposeMatMult(coarse_psi_D, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM1));
5291: PetscCall(MatDestroy(&AUXMAT));
5292: PetscCall(MatMatMult(A_BB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5293: PetscCall(MatTransposeMatMult(coarse_psi_B, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM2));
5294: PetscCall(MatDestroy(&AUXMAT));
5295: PetscCall(MatMatMult(A_IB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5296: PetscCall(MatTransposeMatMult(coarse_psi_D, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM3));
5297: PetscCall(MatDestroy(&AUXMAT));
5298: PetscCall(MatMatMult(A_BI, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5299: PetscCall(MatTransposeMatMult(coarse_psi_B, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM4));
5300: PetscCall(MatDestroy(&AUXMAT));
5301: } else {
5302: PetscCall(MatPtAP(A_II, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &TM1));
5303: PetscCall(MatPtAP(A_BB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &TM2));
5304: PetscCall(MatMatMult(A_IB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5305: PetscCall(MatTransposeMatMult(coarse_phi_D, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM3));
5306: PetscCall(MatDestroy(&AUXMAT));
5307: PetscCall(MatMatMult(A_BI, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5308: PetscCall(MatTransposeMatMult(coarse_phi_B, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM4));
5309: PetscCall(MatDestroy(&AUXMAT));
5310: }
5311: PetscCall(MatAXPY(TM1, one, TM2, DIFFERENT_NONZERO_PATTERN));
5312: PetscCall(MatAXPY(TM1, one, TM3, DIFFERENT_NONZERO_PATTERN));
5313: PetscCall(MatAXPY(TM1, one, TM4, DIFFERENT_NONZERO_PATTERN));
5314: PetscCall(MatConvert(TM1, MATSEQDENSE, MAT_INPLACE_MATRIX, &TM1));
5315: if (pcbddc->benign_n) {
5316: Mat B0_B, B0_BPHI;
5317: const PetscScalar *data2;
5318: PetscScalar *data;
5319: PetscInt j;
5321: PetscCall(ISCreateStride(PETSC_COMM_SELF, pcbddc->benign_n, 0, 1, &is_dummy));
5322: PetscCall(MatCreateSubMatrix(pcbddc->benign_B0, is_dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &B0_B));
5323: PetscCall(MatMatMult(B0_B, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &B0_BPHI));
5324: PetscCall(MatConvert(B0_BPHI, MATSEQDENSE, MAT_INPLACE_MATRIX, &B0_BPHI));
5325: PetscCall(MatDenseGetArray(TM1, &data));
5326: PetscCall(MatDenseGetArrayRead(B0_BPHI, &data2));
5327: for (j = 0; j < pcbddc->benign_n; j++) {
5328: PetscInt primal_idx = pcbddc->local_primal_size - pcbddc->benign_n + j;
5329: for (i = 0; i < pcbddc->local_primal_size; i++) {
5330: data[primal_idx * pcbddc->local_primal_size + i] += data2[i * pcbddc->benign_n + j];
5331: data[i * pcbddc->local_primal_size + primal_idx] += data2[i * pcbddc->benign_n + j];
5332: }
5333: }
5334: PetscCall(MatDenseRestoreArray(TM1, &data));
5335: PetscCall(MatDenseRestoreArrayRead(B0_BPHI, &data2));
5336: PetscCall(MatDestroy(&B0_B));
5337: PetscCall(ISDestroy(&is_dummy));
5338: PetscCall(MatDestroy(&B0_BPHI));
5339: }
5340: PetscCall(MatAXPY(TM1, m_one, *coarse_submat, DIFFERENT_NONZERO_PATTERN));
5341: PetscCall(MatNorm(TM1, NORM_FROBENIUS, &real_value));
5342: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
5343: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d matrix error % 1.14e\n", PetscGlobalRank, (double)real_value));
5345: /* check constraints */
5346: PetscCall(ISCreateStride(PETSC_COMM_SELF, pcbddc->local_primal_size - pcbddc->benign_n, 0, 1, &is_dummy));
5347: PetscCall(MatCreateSubMatrix(pcbddc->ConstraintMatrix, is_dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &C_B));
5348: if (!pcbddc->benign_n) { /* TODO: add benign case */
5349: PetscCall(MatMatMult(C_B, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &CPHI));
5350: } else {
5351: PetscScalar *data;
5352: Mat tmat;
5353: PetscCall(MatDenseGetArray(pcbddc->coarse_phi_B, &data));
5354: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, pcis->n_B, pcbddc->local_primal_size - pcbddc->benign_n, data, &tmat));
5355: PetscCall(MatDenseRestoreArray(pcbddc->coarse_phi_B, &data));
5356: PetscCall(MatMatMult(C_B, tmat, MAT_INITIAL_MATRIX, 1.0, &CPHI));
5357: PetscCall(MatDestroy(&tmat));
5358: }
5359: PetscCall(MatCreateVecs(CPHI, &mones, NULL));
5360: PetscCall(VecSet(mones, -1.0));
5361: PetscCall(MatDiagonalSet(CPHI, mones, ADD_VALUES));
5362: PetscCall(MatNorm(CPHI, NORM_FROBENIUS, &real_value));
5363: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d phi constraints error % 1.14e\n", PetscGlobalRank, (double)real_value));
5364: if (!pcbddc->symmetric_primal) {
5365: PetscCall(MatMatMult(C_B, coarse_psi_B, MAT_REUSE_MATRIX, 1.0, &CPHI));
5366: PetscCall(VecSet(mones, -1.0));
5367: PetscCall(MatDiagonalSet(CPHI, mones, ADD_VALUES));
5368: PetscCall(MatNorm(CPHI, NORM_FROBENIUS, &real_value));
5369: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d psi constraints error % 1.14e\n", PetscGlobalRank, (double)real_value));
5370: }
5371: PetscCall(MatDestroy(&C_B));
5372: PetscCall(MatDestroy(&CPHI));
5373: PetscCall(ISDestroy(&is_dummy));
5374: PetscCall(VecDestroy(&mones));
5375: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5376: PetscCall(MatDestroy(&A_II));
5377: PetscCall(MatDestroy(&A_BB));
5378: PetscCall(MatDestroy(&A_IB));
5379: PetscCall(MatDestroy(&A_BI));
5380: PetscCall(MatDestroy(&TM1));
5381: PetscCall(MatDestroy(&TM2));
5382: PetscCall(MatDestroy(&TM3));
5383: PetscCall(MatDestroy(&TM4));
5384: PetscCall(MatDestroy(&coarse_phi_D));
5385: PetscCall(MatDestroy(&coarse_phi_B));
5386: if (!pcbddc->symmetric_primal) {
5387: PetscCall(MatDestroy(&coarse_psi_D));
5388: PetscCall(MatDestroy(&coarse_psi_B));
5389: }
5390: }
5392: #if 0
5393: {
5394: PetscViewer viewer;
5395: char filename[256];
5397: PetscCall(PetscSNPrintf(filename, PETSC_STATIC_ARRAY_LENGTH(filename), "details_local_coarse_mat%d_level%d.m",PetscGlobalRank,pcbddc->current_level));
5398: PetscCall(PetscViewerASCIIOpen(PETSC_COMM_SELF,filename,&viewer));
5399: PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
5400: PetscCall(PetscObjectSetName((PetscObject)*coarse_submat,"coarse submat"));
5401: PetscCall(MatView(*coarse_submat,viewer));
5402: if (pcbddc->coarse_phi_B) {
5403: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_phi_B,"phi_B"));
5404: PetscCall(MatView(pcbddc->coarse_phi_B,viewer));
5405: }
5406: if (pcbddc->coarse_phi_D) {
5407: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_phi_D,"phi_D"));
5408: PetscCall(MatView(pcbddc->coarse_phi_D,viewer));
5409: }
5410: if (pcbddc->coarse_psi_B) {
5411: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_psi_B,"psi_B"));
5412: PetscCall(MatView(pcbddc->coarse_psi_B,viewer));
5413: }
5414: if (pcbddc->coarse_psi_D) {
5415: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_psi_D,"psi_D"));
5416: PetscCall(MatView(pcbddc->coarse_psi_D,viewer));
5417: }
5418: PetscCall(PetscObjectSetName((PetscObject)pcbddc->local_mat,"A"));
5419: PetscCall(MatView(pcbddc->local_mat,viewer));
5420: PetscCall(PetscObjectSetName((PetscObject)pcbddc->ConstraintMatrix,"C"));
5421: PetscCall(MatView(pcbddc->ConstraintMatrix,viewer));
5422: PetscCall(PetscObjectSetName((PetscObject)pcis->is_I_local,"I"));
5423: PetscCall(ISView(pcis->is_I_local,viewer));
5424: PetscCall(PetscObjectSetName((PetscObject)pcis->is_B_local,"B"));
5425: PetscCall(ISView(pcis->is_B_local,viewer));
5426: PetscCall(PetscObjectSetName((PetscObject)pcbddc->is_R_local,"R"));
5427: PetscCall(ISView(pcbddc->is_R_local,viewer));
5428: PetscCall(PetscViewerDestroy(&viewer));
5429: }
5430: #endif
5432: /* device support */
5433: {
5434: PetscBool iscuda, iship, iskokkos;
5435: MatType mtype = NULL;
5437: PetscCall(PetscObjectTypeCompareAny((PetscObject)pcis->vec1_N, &iscuda, VECCUDA, VECMPICUDA, VECSEQCUDA, ""));
5438: PetscCall(PetscObjectTypeCompareAny((PetscObject)pcis->vec1_N, &iship, VECHIP, VECMPIHIP, VECSEQHIP, ""));
5439: PetscCall(PetscObjectTypeCompareAny((PetscObject)pcis->vec1_N, &iskokkos, VECKOKKOS, VECMPIKOKKOS, VECSEQKOKKOS, ""));
5440: if (iskokkos) {
5441: if (PetscDefined(HAVE_MACRO_KOKKOS_ENABLE_CUDA)) iscuda = PETSC_TRUE;
5442: else if (PetscDefined(HAVE_MACRO_KOKKOS_ENABLE_HIP)) iship = PETSC_TRUE;
5443: }
5444: if (iskokkos) mtype = multi_element ? MATSEQAIJKOKKOS : (iscuda ? MATSEQDENSECUDA : MATSEQDENSEHIP);
5445: else if (iship) mtype = multi_element ? MATSEQAIJHIPSPARSE : MATSEQDENSEHIP;
5446: else if (iscuda) mtype = multi_element ? MATSEQAIJCUSPARSE : MATSEQDENSECUDA;
5447: if (mtype) {
5448: if (pcbddc->local_auxmat1) PetscCall(MatConvert(pcbddc->local_auxmat1, mtype, MAT_INPLACE_MATRIX, &pcbddc->local_auxmat1));
5449: if (pcbddc->local_auxmat2) PetscCall(MatConvert(pcbddc->local_auxmat2, mtype, MAT_INPLACE_MATRIX, &pcbddc->local_auxmat2));
5450: if (pcbddc->coarse_phi_B) PetscCall(MatConvert(pcbddc->coarse_phi_B, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_phi_B));
5451: if (pcbddc->coarse_phi_D) PetscCall(MatConvert(pcbddc->coarse_phi_D, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_phi_D));
5452: if (pcbddc->coarse_psi_B) PetscCall(MatConvert(pcbddc->coarse_psi_B, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_psi_B));
5453: if (pcbddc->coarse_psi_D) PetscCall(MatConvert(pcbddc->coarse_psi_D, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_psi_D));
5454: }
5455: }
5456: PetscFunctionReturn(PETSC_SUCCESS);
5457: }
5459: PetscErrorCode MatCreateSubMatrixUnsorted(Mat A, IS isrow, IS iscol, Mat *B)
5460: {
5461: Mat *work_mat;
5462: IS isrow_s, iscol_s;
5463: PetscBool rsorted, csorted;
5464: PetscInt rsize, *idxs_perm_r = NULL, csize, *idxs_perm_c = NULL;
5466: PetscFunctionBegin;
5467: PetscCall(ISSorted(isrow, &rsorted));
5468: PetscCall(ISSorted(iscol, &csorted));
5469: PetscCall(ISGetLocalSize(isrow, &rsize));
5470: PetscCall(ISGetLocalSize(iscol, &csize));
5472: if (!rsorted) {
5473: const PetscInt *idxs;
5474: PetscInt *idxs_sorted, i;
5476: PetscCall(PetscMalloc1(rsize, &idxs_perm_r));
5477: PetscCall(PetscMalloc1(rsize, &idxs_sorted));
5478: for (i = 0; i < rsize; i++) idxs_perm_r[i] = i;
5479: PetscCall(ISGetIndices(isrow, &idxs));
5480: PetscCall(PetscSortIntWithPermutation(rsize, idxs, idxs_perm_r));
5481: for (i = 0; i < rsize; i++) idxs_sorted[i] = idxs[idxs_perm_r[i]];
5482: PetscCall(ISRestoreIndices(isrow, &idxs));
5483: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, rsize, idxs_sorted, PETSC_OWN_POINTER, &isrow_s));
5484: } else {
5485: PetscCall(PetscObjectReference((PetscObject)isrow));
5486: isrow_s = isrow;
5487: }
5489: if (!csorted) {
5490: if (isrow == iscol) {
5491: PetscCall(PetscObjectReference((PetscObject)isrow_s));
5492: iscol_s = isrow_s;
5493: } else {
5494: const PetscInt *idxs;
5495: PetscInt *idxs_sorted, i;
5497: PetscCall(PetscMalloc1(csize, &idxs_perm_c));
5498: PetscCall(PetscMalloc1(csize, &idxs_sorted));
5499: for (i = 0; i < csize; i++) idxs_perm_c[i] = i;
5500: PetscCall(ISGetIndices(iscol, &idxs));
5501: PetscCall(PetscSortIntWithPermutation(csize, idxs, idxs_perm_c));
5502: for (i = 0; i < csize; i++) idxs_sorted[i] = idxs[idxs_perm_c[i]];
5503: PetscCall(ISRestoreIndices(iscol, &idxs));
5504: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, csize, idxs_sorted, PETSC_OWN_POINTER, &iscol_s));
5505: }
5506: } else {
5507: PetscCall(PetscObjectReference((PetscObject)iscol));
5508: iscol_s = iscol;
5509: }
5511: PetscCall(MatCreateSubMatrices(A, 1, &isrow_s, &iscol_s, MAT_INITIAL_MATRIX, &work_mat));
5513: if (!rsorted || !csorted) {
5514: Mat new_mat;
5515: IS is_perm_r, is_perm_c;
5517: if (!rsorted) {
5518: PetscInt *idxs_r, i;
5519: PetscCall(PetscMalloc1(rsize, &idxs_r));
5520: for (i = 0; i < rsize; i++) idxs_r[idxs_perm_r[i]] = i;
5521: PetscCall(PetscFree(idxs_perm_r));
5522: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, rsize, idxs_r, PETSC_OWN_POINTER, &is_perm_r));
5523: } else {
5524: PetscCall(ISCreateStride(PETSC_COMM_SELF, rsize, 0, 1, &is_perm_r));
5525: }
5526: PetscCall(ISSetPermutation(is_perm_r));
5528: if (!csorted) {
5529: if (isrow_s == iscol_s) {
5530: PetscCall(PetscObjectReference((PetscObject)is_perm_r));
5531: is_perm_c = is_perm_r;
5532: } else {
5533: PetscInt *idxs_c, i;
5534: PetscCheck(idxs_perm_c, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Permutation array not present");
5535: PetscCall(PetscMalloc1(csize, &idxs_c));
5536: for (i = 0; i < csize; i++) idxs_c[idxs_perm_c[i]] = i;
5537: PetscCall(PetscFree(idxs_perm_c));
5538: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, csize, idxs_c, PETSC_OWN_POINTER, &is_perm_c));
5539: }
5540: } else {
5541: PetscCall(ISCreateStride(PETSC_COMM_SELF, csize, 0, 1, &is_perm_c));
5542: }
5543: PetscCall(ISSetPermutation(is_perm_c));
5545: PetscCall(MatPermute(work_mat[0], is_perm_r, is_perm_c, &new_mat));
5546: PetscCall(MatDestroy(&work_mat[0]));
5547: work_mat[0] = new_mat;
5548: PetscCall(ISDestroy(&is_perm_r));
5549: PetscCall(ISDestroy(&is_perm_c));
5550: }
5552: PetscCall(PetscObjectReference((PetscObject)work_mat[0]));
5553: *B = work_mat[0];
5554: PetscCall(MatDestroyMatrices(1, &work_mat));
5555: PetscCall(ISDestroy(&isrow_s));
5556: PetscCall(ISDestroy(&iscol_s));
5557: PetscFunctionReturn(PETSC_SUCCESS);
5558: }
5560: static PetscErrorCode MatPtAPWithPrefix_Private(Mat A, Mat P, PetscReal fill, const char *prefix, Mat *C)
5561: {
5562: PetscFunctionBegin;
5563: PetscCall(MatProductCreate(A, P, NULL, C));
5564: PetscCall(MatProductSetType(*C, MATPRODUCT_PtAP));
5565: PetscCall(MatProductSetAlgorithm(*C, "default"));
5566: PetscCall(MatProductSetFill(*C, fill));
5567: PetscCall(MatSetOptionsPrefix(*C, prefix));
5568: PetscCall(MatProductSetFromOptions(*C));
5569: PetscCall(MatProductSymbolic(*C));
5570: PetscCall(MatProductNumeric(*C));
5571: (*C)->symmetric = A->symmetric;
5572: (*C)->spd = A->spd;
5573: PetscFunctionReturn(PETSC_SUCCESS);
5574: }
5576: PetscErrorCode PCBDDCComputeLocalMatrix(PC pc, Mat ChangeOfBasisMatrix)
5577: {
5578: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
5579: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
5580: Mat new_mat, lA;
5581: IS is_local, is_global;
5582: PetscInt local_size;
5583: PetscBool isseqaij, issym, isset;
5584: char ptapprefix[256];
5586: PetscFunctionBegin;
5587: PetscCall(MatDestroy(&pcbddc->local_mat));
5588: PetscCall(MatGetSize(matis->A, &local_size, NULL));
5589: if (pcbddc->mat_graph->multi_element) {
5590: Mat *mats, *bdiags;
5591: IS *gsubs;
5592: PetscInt nsubs = pcbddc->n_local_subs;
5594: PetscCall(PetscCalloc1(nsubs * nsubs, &mats));
5595: #if 1
5596: PetscCall(PetscMalloc1(nsubs, &gsubs));
5597: for (PetscInt i = 0; i < nsubs; i++) PetscCall(ISLocalToGlobalMappingApplyIS(matis->rmapping, pcbddc->local_subs[i], &gsubs[i]));
5598: PetscCall(MatCreateSubMatrices(ChangeOfBasisMatrix, nsubs, gsubs, gsubs, MAT_INITIAL_MATRIX, &bdiags));
5599: for (PetscInt i = 0; i < nsubs; i++) PetscCall(ISDestroy(&gsubs[i]));
5600: PetscCall(PetscFree(gsubs));
5601: #else /* this does not work since MatCreateSubMatrices does not support repeated indices */
5602: Mat *tmats;
5603: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)matis->A), local_size, 0, 1, &is_local));
5604: PetscCall(ISLocalToGlobalMappingApplyIS(matis->rmapping, is_local, &is_global));
5605: PetscCall(ISDestroy(&is_local));
5606: PetscCall(MatSetOption(ChangeOfBasisMatrix, MAT_SUBMAT_SINGLEIS, PETSC_TRUE));
5607: PetscCall(MatCreateSubMatrices(ChangeOfBasisMatrix, 1, &is_global, &is_global, MAT_INITIAL_MATRIX, &tmats));
5608: PetscCall(ISDestroy(&is_global));
5609: PetscCall(MatCreateSubMatrices(tmats[0], nsubs, pcbddc->local_subs, pcbddc->local_subs, MAT_INITIAL_MATRIX, &bdiags));
5610: PetscCall(MatDestroySubMatrices(1, &tmats));
5611: #endif
5612: for (PetscInt i = 0; i < nsubs; i++) mats[i * (1 + nsubs)] = bdiags[i];
5613: PetscCall(MatCreateNest(PETSC_COMM_SELF, nsubs, pcbddc->local_subs, nsubs, pcbddc->local_subs, mats, &new_mat));
5614: PetscCall(MatConvert(new_mat, MATSEQAIJ, MAT_INPLACE_MATRIX, &new_mat));
5615: PetscCall(MatDestroySubMatrices(nsubs, &bdiags));
5616: PetscCall(PetscFree(mats));
5617: } else {
5618: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)matis->A), local_size, 0, 1, &is_local));
5619: PetscCall(ISLocalToGlobalMappingApplyIS(matis->rmapping, is_local, &is_global));
5620: PetscCall(ISDestroy(&is_local));
5621: PetscCall(MatCreateSubMatrixUnsorted(ChangeOfBasisMatrix, is_global, is_global, &new_mat));
5622: PetscCall(ISDestroy(&is_global));
5623: }
5624: if (pcbddc->dbg_flag) {
5625: Vec x, x_change;
5626: PetscReal error;
5628: PetscCall(MatCreateVecs(ChangeOfBasisMatrix, &x, &x_change));
5629: PetscCall(VecSetRandom(x, NULL));
5630: PetscCall(MatMult(ChangeOfBasisMatrix, x, x_change));
5631: PetscCall(VecScatterBegin(matis->cctx, x, matis->x, INSERT_VALUES, SCATTER_FORWARD));
5632: PetscCall(VecScatterEnd(matis->cctx, x, matis->x, INSERT_VALUES, SCATTER_FORWARD));
5633: PetscCall(MatMult(new_mat, matis->x, matis->y));
5634: if (!pcbddc->change_interior) {
5635: const PetscScalar *x, *y, *v;
5636: PetscReal lerror = 0.;
5637: PetscInt i;
5639: PetscCall(VecGetArrayRead(matis->x, &x));
5640: PetscCall(VecGetArrayRead(matis->y, &y));
5641: PetscCall(VecGetArrayRead(matis->counter, &v));
5642: for (i = 0; i < local_size; i++)
5643: if (PetscRealPart(v[i]) < 1.5 && PetscAbsScalar(x[i] - y[i]) > lerror) lerror = PetscAbsScalar(x[i] - y[i]);
5644: PetscCall(VecRestoreArrayRead(matis->x, &x));
5645: PetscCall(VecRestoreArrayRead(matis->y, &y));
5646: PetscCall(VecRestoreArrayRead(matis->counter, &v));
5647: PetscCallMPI(MPIU_Allreduce(&lerror, &error, 1, MPIU_REAL, MPIU_MAX, PetscObjectComm((PetscObject)pc)));
5648: if (error > PETSC_SMALL) {
5649: if (!pcbddc->user_ChangeOfBasisMatrix || pcbddc->current_level) {
5650: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "Error global vs local change on I: %1.6e", (double)error);
5651: } else {
5652: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_USER, "Error global vs local change on I: %1.6e", (double)error);
5653: }
5654: }
5655: }
5656: PetscCall(VecScatterBegin(matis->rctx, matis->y, x, INSERT_VALUES, SCATTER_REVERSE));
5657: PetscCall(VecScatterEnd(matis->rctx, matis->y, x, INSERT_VALUES, SCATTER_REVERSE));
5658: PetscCall(VecAXPY(x, -1.0, x_change));
5659: PetscCall(VecNorm(x, NORM_INFINITY, &error));
5660: if (error > PETSC_SMALL) {
5661: if (!pcbddc->user_ChangeOfBasisMatrix || pcbddc->current_level) {
5662: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "Error global vs local change on N: %1.6e", (double)error);
5663: } else {
5664: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_USER, "Error global vs local change on N: %1.6e", (double)error);
5665: }
5666: }
5667: PetscCall(VecDestroy(&x));
5668: PetscCall(VecDestroy(&x_change));
5669: }
5671: /* lA is present if we are setting up an inner BDDC for a saddle point FETI-DP */
5672: PetscCall(PetscObjectQuery((PetscObject)pc, "__KSPFETIDP_lA", (PetscObject *)&lA));
5674: /* TODO: HOW TO WORK WITH BAIJ and SBAIJ and SEQDENSE? */
5675: if (((PetscObject)pc)->prefix) PetscCall(PetscSNPrintf(ptapprefix, sizeof(ptapprefix), "%spc_bddc_change_", ((PetscObject)pc)->prefix));
5676: else PetscCall(PetscSNPrintf(ptapprefix, sizeof(ptapprefix), "pc_bddc_change_"));
5677: PetscCall(PetscObjectBaseTypeCompare((PetscObject)matis->A, MATSEQAIJ, &isseqaij));
5678: if (isseqaij) {
5679: PetscCall(MatDestroy(&pcbddc->local_mat));
5680: PetscCall(MatPtAPWithPrefix_Private(matis->A, new_mat, PETSC_DEFAULT, ptapprefix, &pcbddc->local_mat));
5681: if (lA) {
5682: Mat work;
5683: PetscCall(MatPtAPWithPrefix_Private(lA, new_mat, PETSC_DEFAULT, ptapprefix, &work));
5684: PetscCall(PetscObjectCompose((PetscObject)pc, "__KSPFETIDP_lA", (PetscObject)work));
5685: PetscCall(MatDestroy(&work));
5686: }
5687: } else {
5688: Mat work_mat;
5690: PetscCall(MatDestroy(&pcbddc->local_mat));
5691: PetscCall(MatConvert(matis->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &work_mat));
5692: PetscCall(MatPtAPWithPrefix_Private(work_mat, new_mat, PETSC_DEFAULT, ptapprefix, &pcbddc->local_mat));
5693: PetscCall(MatDestroy(&work_mat));
5694: if (lA) {
5695: Mat work;
5696: PetscCall(MatConvert(lA, MATSEQAIJ, MAT_INITIAL_MATRIX, &work_mat));
5697: PetscCall(MatPtAPWithPrefix_Private(work_mat, new_mat, PETSC_DEFAULT, ptapprefix, &work));
5698: PetscCall(PetscObjectCompose((PetscObject)pc, "__KSPFETIDP_lA", (PetscObject)work));
5699: PetscCall(MatDestroy(&work));
5700: }
5701: }
5702: PetscCall(MatIsSymmetricKnown(matis->A, &isset, &issym));
5703: if (isset) PetscCall(MatSetOption(pcbddc->local_mat, MAT_SYMMETRIC, issym));
5704: PetscCall(MatDestroy(&new_mat));
5705: PetscFunctionReturn(PETSC_SUCCESS);
5706: }
5708: PetscErrorCode PCBDDCSetUpLocalScatters(PC pc)
5709: {
5710: PC_IS *pcis = (PC_IS *)pc->data;
5711: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
5712: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
5713: PetscInt *idx_R_local = NULL;
5714: PetscInt n_vertices, i, j, n_R, n_D, n_B;
5715: PetscInt vbs, bs;
5716: PetscBT bitmask = NULL;
5718: PetscFunctionBegin;
5719: /*
5720: No need to setup local scatters if
5721: - primal space is unchanged
5722: AND
5723: - we actually have locally some primal dofs (could not be true in multilevel or for isolated subdomains)
5724: AND
5725: - we are not in debugging mode (this is needed since there are Synchronized prints at the end of the subroutine
5726: */
5727: if (!pcbddc->new_primal_space_local && pcbddc->local_primal_size && !pcbddc->dbg_flag) PetscFunctionReturn(PETSC_SUCCESS);
5728: /* destroy old objects */
5729: PetscCall(ISDestroy(&pcbddc->is_R_local));
5730: PetscCall(VecScatterDestroy(&pcbddc->R_to_B));
5731: PetscCall(VecScatterDestroy(&pcbddc->R_to_D));
5732: /* Set Non-overlapping dimensions */
5733: n_B = pcis->n_B;
5734: n_D = pcis->n - n_B;
5735: n_vertices = pcbddc->n_vertices;
5737: /* Dohrmann's notation: dofs split in R (Remaining: all dofs but the vertices) and V (Vertices) */
5739: /* create auxiliary bitmask and allocate workspace */
5740: if (!sub_schurs || !sub_schurs->reuse_solver) {
5741: PetscCall(PetscMalloc1(pcis->n - n_vertices, &idx_R_local));
5742: PetscCall(PetscBTCreate(pcis->n, &bitmask));
5743: for (i = 0; i < n_vertices; i++) PetscCall(PetscBTSet(bitmask, pcbddc->local_primal_ref_node[i]));
5745: for (i = 0, n_R = 0; i < pcis->n; i++) {
5746: if (!PetscBTLookup(bitmask, i)) idx_R_local[n_R++] = i;
5747: }
5748: } else { /* A different ordering (already computed) is present if we are reusing the Schur solver */
5749: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
5751: PetscCall(ISGetIndices(reuse_solver->is_R, (const PetscInt **)&idx_R_local));
5752: PetscCall(ISGetLocalSize(reuse_solver->is_R, &n_R));
5753: }
5755: /* Block code */
5756: vbs = 1;
5757: PetscCall(MatGetBlockSize(pcbddc->local_mat, &bs));
5758: if (bs > 1 && !(n_vertices % bs)) {
5759: PetscBool is_blocked = PETSC_TRUE;
5760: PetscInt *vary;
5761: if (!sub_schurs || !sub_schurs->reuse_solver) {
5762: PetscCall(PetscMalloc1(pcis->n / bs, &vary));
5763: PetscCall(PetscArrayzero(vary, pcis->n / bs));
5764: /* Verify that the vertex indices correspond to each element in a block (code taken from sbaij2.c) */
5765: /* 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 */
5766: for (i = 0; i < n_vertices; i++) vary[pcbddc->local_primal_ref_node[i] / bs]++;
5767: for (i = 0; i < pcis->n / bs; i++) {
5768: if (vary[i] != 0 && vary[i] != bs) {
5769: is_blocked = PETSC_FALSE;
5770: break;
5771: }
5772: }
5773: PetscCall(PetscFree(vary));
5774: } else {
5775: /* Verify directly the R set */
5776: for (i = 0; i < n_R / bs; i++) {
5777: PetscInt j, node = idx_R_local[bs * i];
5778: for (j = 1; j < bs; j++) {
5779: if (node != idx_R_local[bs * i + j] - j) {
5780: is_blocked = PETSC_FALSE;
5781: break;
5782: }
5783: }
5784: }
5785: }
5786: if (is_blocked) { /* build compressed IS for R nodes (complement of vertices) */
5787: vbs = bs;
5788: for (i = 0; i < n_R / vbs; i++) idx_R_local[i] = idx_R_local[vbs * i] / vbs;
5789: }
5790: }
5791: PetscCall(ISCreateBlock(PETSC_COMM_SELF, vbs, n_R / vbs, idx_R_local, PETSC_COPY_VALUES, &pcbddc->is_R_local));
5792: if (sub_schurs && sub_schurs->reuse_solver) {
5793: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
5795: PetscCall(ISRestoreIndices(reuse_solver->is_R, (const PetscInt **)&idx_R_local));
5796: PetscCall(ISDestroy(&reuse_solver->is_R));
5797: PetscCall(PetscObjectReference((PetscObject)pcbddc->is_R_local));
5798: reuse_solver->is_R = pcbddc->is_R_local;
5799: } else {
5800: PetscCall(PetscFree(idx_R_local));
5801: }
5803: /* print some info if requested */
5804: if (pcbddc->dbg_flag) {
5805: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
5806: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5807: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
5808: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d local dimensions\n", PetscGlobalRank));
5809: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "local_size = %" PetscInt_FMT ", dirichlet_size = %" PetscInt_FMT ", boundary_size = %" PetscInt_FMT "\n", pcis->n, n_D, n_B));
5810: 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,
5811: pcbddc->local_primal_size - n_vertices - pcbddc->benign_n, pcbddc->local_primal_size));
5812: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5813: }
5815: /* VecScatters pcbddc->R_to_B and (optionally) pcbddc->R_to_D */
5816: if (!sub_schurs || !sub_schurs->reuse_solver) {
5817: IS is_aux1, is_aux2;
5818: PetscInt *aux_array1, *aux_array2, *is_indices, *idx_R_local;
5820: PetscCall(ISGetIndices(pcbddc->is_R_local, (const PetscInt **)&idx_R_local));
5821: PetscCall(PetscMalloc1(pcis->n_B - n_vertices, &aux_array1));
5822: PetscCall(PetscMalloc1(pcis->n_B - n_vertices, &aux_array2));
5823: PetscCall(ISGetIndices(pcis->is_I_local, (const PetscInt **)&is_indices));
5824: for (i = 0; i < n_D; i++) PetscCall(PetscBTSet(bitmask, is_indices[i]));
5825: PetscCall(ISRestoreIndices(pcis->is_I_local, (const PetscInt **)&is_indices));
5826: for (i = 0, j = 0; i < n_R; i++) {
5827: if (!PetscBTLookup(bitmask, idx_R_local[i])) aux_array1[j++] = i;
5828: }
5829: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, j, aux_array1, PETSC_OWN_POINTER, &is_aux1));
5830: PetscCall(ISGetIndices(pcis->is_B_local, (const PetscInt **)&is_indices));
5831: for (i = 0, j = 0; i < n_B; i++) {
5832: if (!PetscBTLookup(bitmask, is_indices[i])) aux_array2[j++] = i;
5833: }
5834: PetscCall(ISRestoreIndices(pcis->is_B_local, (const PetscInt **)&is_indices));
5835: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, j, aux_array2, PETSC_OWN_POINTER, &is_aux2));
5836: PetscCall(VecScatterCreate(pcbddc->vec1_R, is_aux1, pcis->vec1_B, is_aux2, &pcbddc->R_to_B));
5837: PetscCall(ISDestroy(&is_aux1));
5838: PetscCall(ISDestroy(&is_aux2));
5840: if (pcbddc->switch_static || pcbddc->dbg_flag) {
5841: PetscCall(PetscMalloc1(n_D, &aux_array1));
5842: for (i = 0, j = 0; i < n_R; i++) {
5843: if (PetscBTLookup(bitmask, idx_R_local[i])) aux_array1[j++] = i;
5844: }
5845: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, j, aux_array1, PETSC_OWN_POINTER, &is_aux1));
5846: PetscCall(VecScatterCreate(pcbddc->vec1_R, is_aux1, pcis->vec1_D, (IS)0, &pcbddc->R_to_D));
5847: PetscCall(ISDestroy(&is_aux1));
5848: }
5849: PetscCall(PetscBTDestroy(&bitmask));
5850: PetscCall(ISRestoreIndices(pcbddc->is_R_local, (const PetscInt **)&idx_R_local));
5851: } else {
5852: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
5853: IS tis;
5854: PetscInt schur_size;
5856: PetscCall(ISGetLocalSize(reuse_solver->is_B, &schur_size));
5857: PetscCall(ISCreateStride(PETSC_COMM_SELF, schur_size, n_D, 1, &tis));
5858: PetscCall(VecScatterCreate(pcbddc->vec1_R, tis, pcis->vec1_B, reuse_solver->is_B, &pcbddc->R_to_B));
5859: PetscCall(ISDestroy(&tis));
5860: if (pcbddc->switch_static || pcbddc->dbg_flag) {
5861: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_D, 0, 1, &tis));
5862: PetscCall(VecScatterCreate(pcbddc->vec1_R, tis, pcis->vec1_D, (IS)0, &pcbddc->R_to_D));
5863: PetscCall(ISDestroy(&tis));
5864: }
5865: }
5866: PetscFunctionReturn(PETSC_SUCCESS);
5867: }
5869: PetscErrorCode MatNullSpacePropagateAny_Private(Mat A, IS is, Mat B)
5870: {
5871: MatNullSpace NullSpace;
5872: Mat dmat;
5873: const Vec *nullvecs;
5874: Vec v, v2, *nullvecs2;
5875: VecScatter sct = NULL;
5876: PetscScalar *ddata;
5877: PetscInt k, nnsp_size, bsiz, bsiz2, n, N, bs;
5878: PetscBool nnsp_has_cnst;
5880: PetscFunctionBegin;
5881: if (!is && !B) { /* MATIS */
5882: Mat_IS *matis = (Mat_IS *)A->data;
5884: if (!B) PetscCall(MatISGetLocalMat(A, &B));
5885: sct = matis->cctx;
5886: PetscCall(PetscObjectReference((PetscObject)sct));
5887: } else {
5888: PetscCall(MatGetNullSpace(B, &NullSpace));
5889: if (!NullSpace) PetscCall(MatGetNearNullSpace(B, &NullSpace));
5890: if (NullSpace) PetscFunctionReturn(PETSC_SUCCESS);
5891: }
5892: PetscCall(MatGetNullSpace(A, &NullSpace));
5893: if (!NullSpace) PetscCall(MatGetNearNullSpace(A, &NullSpace));
5894: if (!NullSpace) PetscFunctionReturn(PETSC_SUCCESS);
5896: PetscCall(MatCreateVecs(A, &v, NULL));
5897: PetscCall(MatCreateVecs(B, &v2, NULL));
5898: if (!sct) PetscCall(VecScatterCreate(v, is, v2, NULL, &sct));
5899: PetscCall(MatNullSpaceGetVecs(NullSpace, &nnsp_has_cnst, &nnsp_size, &nullvecs));
5900: bsiz = bsiz2 = nnsp_size + !!nnsp_has_cnst;
5901: PetscCall(PetscMalloc1(bsiz, &nullvecs2));
5902: PetscCall(VecGetBlockSize(v2, &bs));
5903: PetscCall(VecGetSize(v2, &N));
5904: PetscCall(VecGetLocalSize(v2, &n));
5905: PetscCall(PetscMalloc1(n * bsiz, &ddata));
5906: for (k = 0; k < nnsp_size; k++) {
5907: PetscCall(VecCreateMPIWithArray(PetscObjectComm((PetscObject)B), bs, n, N, ddata + n * k, &nullvecs2[k]));
5908: PetscCall(VecScatterBegin(sct, nullvecs[k], nullvecs2[k], INSERT_VALUES, SCATTER_FORWARD));
5909: PetscCall(VecScatterEnd(sct, nullvecs[k], nullvecs2[k], INSERT_VALUES, SCATTER_FORWARD));
5910: }
5911: if (nnsp_has_cnst) {
5912: PetscCall(VecCreateMPIWithArray(PetscObjectComm((PetscObject)B), bs, n, N, ddata + n * nnsp_size, &nullvecs2[nnsp_size]));
5913: PetscCall(VecSet(nullvecs2[nnsp_size], 1.0));
5914: }
5915: PetscCall(PCBDDCOrthonormalizeVecs(&bsiz2, nullvecs2));
5916: PetscCall(MatNullSpaceCreate(PetscObjectComm((PetscObject)B), PETSC_FALSE, bsiz2, nullvecs2, &NullSpace));
5918: PetscCall(MatCreateDense(PetscObjectComm((PetscObject)B), n, PETSC_DECIDE, N, bsiz2, ddata, &dmat));
5919: PetscCall(PetscObjectContainerCompose((PetscObject)dmat, "_PBDDC_Null_dmat_arr", ddata, PetscCtxDestroyDefault));
5920: PetscCall(PetscObjectCompose((PetscObject)NullSpace, "_PBDDC_Null_dmat", (PetscObject)dmat));
5921: PetscCall(MatDestroy(&dmat));
5923: for (k = 0; k < bsiz; k++) PetscCall(VecDestroy(&nullvecs2[k]));
5924: PetscCall(PetscFree(nullvecs2));
5925: PetscCall(MatSetNearNullSpace(B, NullSpace));
5926: PetscCall(MatNullSpaceDestroy(&NullSpace));
5927: PetscCall(VecDestroy(&v));
5928: PetscCall(VecDestroy(&v2));
5929: PetscCall(VecScatterDestroy(&sct));
5930: PetscFunctionReturn(PETSC_SUCCESS);
5931: }
5933: PetscErrorCode PCBDDCSetUpLocalSolvers(PC pc, PetscBool dirichlet, PetscBool neumann)
5934: {
5935: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
5936: PC_IS *pcis = (PC_IS *)pc->data;
5937: PC pc_temp;
5938: Mat A_RR;
5939: MatNullSpace nnsp;
5940: MatReuse reuse;
5941: PetscScalar m_one = -1.0;
5942: PetscReal value;
5943: PetscInt n_D, n_R;
5944: PetscBool issbaij, opts, isset, issym;
5945: PetscBool f = PETSC_FALSE;
5946: char dir_prefix[256], neu_prefix[256], str_level[16];
5947: size_t len;
5949: PetscFunctionBegin;
5950: PetscCall(PetscLogEventBegin(PC_BDDC_LocalSolvers[pcbddc->current_level], pc, 0, 0, 0));
5951: /* approximate solver, propagate NearNullSpace if needed */
5952: if (!pc->setupcalled && (pcbddc->NullSpace_corr[0] || pcbddc->NullSpace_corr[2])) {
5953: MatNullSpace gnnsp1, gnnsp2;
5954: PetscBool lhas, ghas;
5956: PetscCall(MatGetNearNullSpace(pcbddc->local_mat, &nnsp));
5957: PetscCall(MatGetNearNullSpace(pc->pmat, &gnnsp1));
5958: PetscCall(MatGetNullSpace(pc->pmat, &gnnsp2));
5959: lhas = nnsp ? PETSC_TRUE : PETSC_FALSE;
5960: PetscCallMPI(MPIU_Allreduce(&lhas, &ghas, 1, MPI_C_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
5961: if (!ghas && (gnnsp1 || gnnsp2)) PetscCall(MatNullSpacePropagateAny_Private(pc->pmat, NULL, NULL));
5962: }
5964: /* compute prefixes */
5965: PetscCall(PetscStrncpy(dir_prefix, "", sizeof(dir_prefix)));
5966: PetscCall(PetscStrncpy(neu_prefix, "", sizeof(neu_prefix)));
5967: if (!pcbddc->current_level) {
5968: PetscCall(PetscStrncpy(dir_prefix, ((PetscObject)pc)->prefix, sizeof(dir_prefix)));
5969: PetscCall(PetscStrncpy(neu_prefix, ((PetscObject)pc)->prefix, sizeof(neu_prefix)));
5970: PetscCall(PetscStrlcat(dir_prefix, "pc_bddc_dirichlet_", sizeof(dir_prefix)));
5971: PetscCall(PetscStrlcat(neu_prefix, "pc_bddc_neumann_", sizeof(neu_prefix)));
5972: } else {
5973: PetscCall(PetscSNPrintf(str_level, sizeof(str_level), "l%" PetscInt_FMT "_", pcbddc->current_level));
5974: PetscCall(PetscStrlen(((PetscObject)pc)->prefix, &len));
5975: len -= 15; /* remove "pc_bddc_coarse_" */
5976: if (pcbddc->current_level > 1) len -= 3; /* remove "lX_" with X level number */
5977: if (pcbddc->current_level > 10) len -= 1; /* remove another char from level number */
5978: /* Nonstandard use of PetscStrncpy() to only copy a portion of the input string */
5979: PetscCall(PetscStrncpy(dir_prefix, ((PetscObject)pc)->prefix, len + 1));
5980: PetscCall(PetscStrncpy(neu_prefix, ((PetscObject)pc)->prefix, len + 1));
5981: PetscCall(PetscStrlcat(dir_prefix, "pc_bddc_dirichlet_", sizeof(dir_prefix)));
5982: PetscCall(PetscStrlcat(neu_prefix, "pc_bddc_neumann_", sizeof(neu_prefix)));
5983: PetscCall(PetscStrlcat(dir_prefix, str_level, sizeof(dir_prefix)));
5984: PetscCall(PetscStrlcat(neu_prefix, str_level, sizeof(neu_prefix)));
5985: }
5987: /* DIRICHLET PROBLEM */
5988: if (dirichlet) {
5989: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
5990: if (pcbddc->benign_n && !pcbddc->benign_change_explicit) {
5991: PetscCheck(sub_schurs && sub_schurs->reuse_solver, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
5992: if (pcbddc->dbg_flag) {
5993: Mat A_IIn;
5995: PetscCall(PCBDDCBenignProject(pc, pcis->is_I_local, pcis->is_I_local, &A_IIn));
5996: PetscCall(MatDestroy(&pcis->A_II));
5997: pcis->A_II = A_IIn;
5998: }
5999: }
6000: PetscCall(MatIsSymmetricKnown(pcbddc->local_mat, &isset, &issym));
6001: if (isset) PetscCall(MatSetOption(pcis->A_II, MAT_SYMMETRIC, issym));
6003: /* Matrix for Dirichlet problem is pcis->A_II */
6004: n_D = pcis->n - pcis->n_B;
6005: opts = PETSC_FALSE;
6006: if (!pcbddc->ksp_D) { /* create object if not yet build */
6007: opts = PETSC_TRUE;
6008: PetscCall(KSPCreate(PETSC_COMM_SELF, &pcbddc->ksp_D));
6009: PetscCall(KSPSetNestLevel(pcbddc->ksp_D, pc->kspnestlevel));
6010: PetscCall(PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_D, (PetscObject)pc, 1));
6011: /* default */
6012: PetscCall(KSPSetType(pcbddc->ksp_D, KSPPREONLY));
6013: PetscCall(KSPSetOptionsPrefix(pcbddc->ksp_D, dir_prefix));
6014: PetscCall(PetscObjectTypeCompare((PetscObject)pcis->pA_II, MATSEQSBAIJ, &issbaij));
6015: PetscCall(KSPGetPC(pcbddc->ksp_D, &pc_temp));
6016: if (issbaij) {
6017: PetscCall(PCSetType(pc_temp, PCCHOLESKY));
6018: } else {
6019: PetscCall(PCSetType(pc_temp, PCLU));
6020: }
6021: PetscCall(KSPSetErrorIfNotConverged(pcbddc->ksp_D, pc->erroriffailure));
6022: }
6023: PetscCall(MatSetOptionsPrefix(pcis->pA_II, ((PetscObject)pcbddc->ksp_D)->prefix));
6024: PetscCall(MatViewFromOptions(pcis->pA_II, NULL, "-mat_view"));
6025: PetscCall(KSPSetOperators(pcbddc->ksp_D, pcis->A_II, pcis->pA_II));
6026: /* Allow user's customization */
6027: if (opts) PetscCall(KSPSetFromOptions(pcbddc->ksp_D));
6028: PetscCall(MatGetNearNullSpace(pcis->pA_II, &nnsp));
6029: if (pcbddc->NullSpace_corr[0] && !nnsp) { /* approximate solver, propagate NearNullSpace */
6030: PetscCall(MatNullSpacePropagateAny_Private(pcbddc->local_mat, pcis->is_I_local, pcis->pA_II));
6031: }
6032: PetscCall(MatGetNearNullSpace(pcis->pA_II, &nnsp));
6033: PetscCall(KSPGetPC(pcbddc->ksp_D, &pc_temp));
6034: PetscCall(PetscObjectHasFunction((PetscObject)pc_temp, "PCSetCoordinates_C", &f));
6035: if (f && pcbddc->mat_graph->cloc && !nnsp) {
6036: PetscReal *coords = pcbddc->mat_graph->coords, *scoords;
6037: const PetscInt *idxs;
6038: PetscInt cdim = pcbddc->mat_graph->cdim, nl, i, d;
6040: PetscCall(ISGetLocalSize(pcis->is_I_local, &nl));
6041: PetscCall(ISGetIndices(pcis->is_I_local, &idxs));
6042: PetscCall(PetscMalloc1(nl * cdim, &scoords));
6043: for (i = 0; i < nl; i++) {
6044: for (d = 0; d < cdim; d++) scoords[i * cdim + d] = coords[idxs[i] * cdim + d];
6045: }
6046: PetscCall(ISRestoreIndices(pcis->is_I_local, &idxs));
6047: PetscCall(PCSetCoordinates(pc_temp, cdim, nl, scoords));
6048: PetscCall(PetscFree(scoords));
6049: }
6050: if (sub_schurs && sub_schurs->reuse_solver) {
6051: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6053: PetscCall(KSPSetPC(pcbddc->ksp_D, reuse_solver->interior_solver));
6054: }
6056: /* umfpack interface has a bug when matrix dimension is zero. TODO solve from umfpack interface */
6057: if (!n_D) {
6058: PetscCall(KSPGetPC(pcbddc->ksp_D, &pc_temp));
6059: PetscCall(PCSetType(pc_temp, PCNONE));
6060: }
6061: PetscCall(KSPSetUp(pcbddc->ksp_D));
6062: /* set ksp_D into pcis data */
6063: PetscCall(PetscObjectReference((PetscObject)pcbddc->ksp_D));
6064: PetscCall(KSPDestroy(&pcis->ksp_D));
6065: pcis->ksp_D = pcbddc->ksp_D;
6066: }
6068: /* NEUMANN PROBLEM */
6069: A_RR = NULL;
6070: if (neumann) {
6071: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
6072: PetscInt ibs, mbs;
6073: PetscBool issbaij, reuse_neumann_solver, isset, issym;
6074: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
6076: reuse_neumann_solver = PETSC_FALSE;
6077: if (sub_schurs && sub_schurs->reuse_solver) {
6078: IS iP;
6080: reuse_neumann_solver = PETSC_TRUE;
6081: PetscCall(PetscObjectQuery((PetscObject)sub_schurs->A, "__KSPFETIDP_iP", (PetscObject *)&iP));
6082: if (iP) reuse_neumann_solver = PETSC_FALSE;
6083: }
6084: /* Matrix for Neumann problem is A_RR -> we need to create/reuse it at this point */
6085: PetscCall(ISGetSize(pcbddc->is_R_local, &n_R));
6086: if (pcbddc->ksp_R) { /* already created ksp */
6087: PetscInt nn_R;
6088: PetscCall(KSPGetOperators(pcbddc->ksp_R, NULL, &A_RR));
6089: PetscCall(PetscObjectReference((PetscObject)A_RR));
6090: PetscCall(MatGetSize(A_RR, &nn_R, NULL));
6091: if (nn_R != n_R) { /* old ksp is not reusable, so reset it */
6092: PetscCall(KSPReset(pcbddc->ksp_R));
6093: PetscCall(MatDestroy(&A_RR));
6094: reuse = MAT_INITIAL_MATRIX;
6095: } else { /* same sizes, but nonzero pattern depend on primal vertices so it can be changed */
6096: if (pcbddc->new_primal_space_local) { /* we are not sure the matrix will have the same nonzero pattern */
6097: PetscCall(MatDestroy(&A_RR));
6098: reuse = MAT_INITIAL_MATRIX;
6099: } else { /* safe to reuse the matrix */
6100: reuse = MAT_REUSE_MATRIX;
6101: }
6102: }
6103: /* last check */
6104: if (pc->flag == DIFFERENT_NONZERO_PATTERN) {
6105: PetscCall(MatDestroy(&A_RR));
6106: reuse = MAT_INITIAL_MATRIX;
6107: }
6108: } else { /* first time, so we need to create the matrix */
6109: reuse = MAT_INITIAL_MATRIX;
6110: }
6111: /* convert pcbddc->local_mat if needed later in PCBDDCSetUpCorrection
6112: TODO: Get Rid of these conversions */
6113: PetscCall(MatGetBlockSize(pcbddc->local_mat, &mbs));
6114: PetscCall(ISGetBlockSize(pcbddc->is_R_local, &ibs));
6115: PetscCall(PetscObjectTypeCompare((PetscObject)pcbddc->local_mat, MATSEQSBAIJ, &issbaij));
6116: if (ibs != mbs) { /* need to convert to SEQAIJ to extract any submatrix with is_R_local */
6117: if (matis->A == pcbddc->local_mat) {
6118: PetscCall(MatDestroy(&pcbddc->local_mat));
6119: PetscCall(MatConvert(matis->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &pcbddc->local_mat));
6120: } else {
6121: PetscCall(MatConvert(pcbddc->local_mat, MATSEQAIJ, MAT_INPLACE_MATRIX, &pcbddc->local_mat));
6122: }
6123: } else if (issbaij) { /* need to convert to BAIJ to get off-diagonal blocks */
6124: if (matis->A == pcbddc->local_mat) {
6125: PetscCall(MatDestroy(&pcbddc->local_mat));
6126: PetscCall(MatConvert(matis->A, mbs > 1 ? MATSEQBAIJ : MATSEQAIJ, MAT_INITIAL_MATRIX, &pcbddc->local_mat));
6127: } else {
6128: PetscCall(MatConvert(pcbddc->local_mat, mbs > 1 ? MATSEQBAIJ : MATSEQAIJ, MAT_INPLACE_MATRIX, &pcbddc->local_mat));
6129: }
6130: }
6131: /* extract A_RR */
6132: if (reuse_neumann_solver) {
6133: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6135: if (pcbddc->dbg_flag) { /* we need A_RR to test the solver later */
6136: PetscCall(MatDestroy(&A_RR));
6137: if (reuse_solver->benign_n) { /* we are not using the explicit change of basis on the pressures */
6138: PetscCall(PCBDDCBenignProject(pc, pcbddc->is_R_local, pcbddc->is_R_local, &A_RR));
6139: } else {
6140: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, pcbddc->is_R_local, pcbddc->is_R_local, MAT_INITIAL_MATRIX, &A_RR));
6141: }
6142: } else {
6143: PetscCall(MatDestroy(&A_RR));
6144: PetscCall(PCGetOperators(reuse_solver->correction_solver, &A_RR, NULL));
6145: PetscCall(PetscObjectReference((PetscObject)A_RR));
6146: }
6147: } else { /* we have to build the neumann solver, so we need to extract the relevant matrix */
6148: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, pcbddc->is_R_local, pcbddc->is_R_local, reuse, &A_RR));
6149: }
6150: PetscCall(MatIsSymmetricKnown(pcbddc->local_mat, &isset, &issym));
6151: if (isset) PetscCall(MatSetOption(A_RR, MAT_SYMMETRIC, issym));
6152: opts = PETSC_FALSE;
6153: if (!pcbddc->ksp_R) { /* create object if not present */
6154: opts = PETSC_TRUE;
6155: PetscCall(KSPCreate(PETSC_COMM_SELF, &pcbddc->ksp_R));
6156: PetscCall(KSPSetNestLevel(pcbddc->ksp_R, pc->kspnestlevel));
6157: PetscCall(PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_R, (PetscObject)pc, 1));
6158: /* default */
6159: PetscCall(KSPSetType(pcbddc->ksp_R, KSPPREONLY));
6160: PetscCall(KSPSetOptionsPrefix(pcbddc->ksp_R, neu_prefix));
6161: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_temp));
6162: PetscCall(PetscObjectTypeCompare((PetscObject)A_RR, MATSEQSBAIJ, &issbaij));
6163: if (issbaij) {
6164: PetscCall(PCSetType(pc_temp, PCCHOLESKY));
6165: } else {
6166: PetscCall(PCSetType(pc_temp, PCLU));
6167: }
6168: PetscCall(KSPSetErrorIfNotConverged(pcbddc->ksp_R, pc->erroriffailure));
6169: }
6170: PetscCall(MatSetOptionsPrefix(A_RR, ((PetscObject)pcbddc->ksp_R)->prefix));
6171: PetscCall(MatViewFromOptions(A_RR, NULL, "-mat_view"));
6172: PetscCall(KSPSetOperators(pcbddc->ksp_R, A_RR, A_RR));
6173: if (opts) { /* Allow user's customization once */
6174: PetscCall(KSPSetFromOptions(pcbddc->ksp_R));
6175: }
6176: PetscCall(MatGetNearNullSpace(A_RR, &nnsp));
6177: if (pcbddc->NullSpace_corr[2] && !nnsp) { /* approximate solver, propagate NearNullSpace */
6178: PetscCall(MatNullSpacePropagateAny_Private(pcbddc->local_mat, pcbddc->is_R_local, A_RR));
6179: }
6180: PetscCall(MatGetNearNullSpace(A_RR, &nnsp));
6181: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_temp));
6182: PetscCall(PetscObjectHasFunction((PetscObject)pc_temp, "PCSetCoordinates_C", &f));
6183: if (f && pcbddc->mat_graph->cloc && !nnsp) {
6184: PetscReal *coords = pcbddc->mat_graph->coords, *scoords;
6185: const PetscInt *idxs;
6186: PetscInt cdim = pcbddc->mat_graph->cdim, nl, i, d;
6188: PetscCall(ISGetLocalSize(pcbddc->is_R_local, &nl));
6189: PetscCall(ISGetIndices(pcbddc->is_R_local, &idxs));
6190: PetscCall(PetscMalloc1(nl * cdim, &scoords));
6191: for (i = 0; i < nl; i++) {
6192: for (d = 0; d < cdim; d++) scoords[i * cdim + d] = coords[idxs[i] * cdim + d];
6193: }
6194: PetscCall(ISRestoreIndices(pcbddc->is_R_local, &idxs));
6195: PetscCall(PCSetCoordinates(pc_temp, cdim, nl, scoords));
6196: PetscCall(PetscFree(scoords));
6197: }
6199: /* umfpack interface has a bug when matrix dimension is zero. TODO solve from umfpack interface */
6200: if (!n_R) {
6201: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_temp));
6202: PetscCall(PCSetType(pc_temp, PCNONE));
6203: }
6204: /* Reuse solver if it is present */
6205: if (reuse_neumann_solver) {
6206: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6208: PetscCall(KSPSetPC(pcbddc->ksp_R, reuse_solver->correction_solver));
6209: }
6210: PetscCall(KSPSetUp(pcbddc->ksp_R));
6211: }
6213: if (pcbddc->dbg_flag) {
6214: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6215: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
6216: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
6217: }
6218: PetscCall(PetscLogEventEnd(PC_BDDC_LocalSolvers[pcbddc->current_level], pc, 0, 0, 0));
6220: /* adapt Dirichlet and Neumann solvers if a nullspace correction has been requested */
6221: if (pcbddc->NullSpace_corr[0]) PetscCall(PCBDDCSetUseExactDirichlet(pc, PETSC_FALSE));
6222: if (dirichlet && pcbddc->NullSpace_corr[0] && !pcbddc->switch_static) PetscCall(PCBDDCNullSpaceAssembleCorrection(pc, PETSC_TRUE, pcbddc->NullSpace_corr[1]));
6223: if (neumann && pcbddc->NullSpace_corr[2]) PetscCall(PCBDDCNullSpaceAssembleCorrection(pc, PETSC_FALSE, pcbddc->NullSpace_corr[3]));
6224: /* check Dirichlet and Neumann solvers */
6225: if (pcbddc->dbg_flag) {
6226: if (dirichlet) { /* Dirichlet */
6227: PetscCall(VecSetRandom(pcis->vec1_D, NULL));
6228: PetscCall(MatMult(pcis->A_II, pcis->vec1_D, pcis->vec2_D));
6229: PetscCall(KSPSolve(pcbddc->ksp_D, pcis->vec2_D, pcis->vec2_D));
6230: PetscCall(KSPCheckSolve(pcbddc->ksp_D, pc, pcis->vec2_D));
6231: PetscCall(VecAXPY(pcis->vec1_D, m_one, pcis->vec2_D));
6232: PetscCall(VecNorm(pcis->vec1_D, NORM_INFINITY, &value));
6233: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d infinity error for Dirichlet solve (%s) = % 1.14e \n", PetscGlobalRank, ((PetscObject)pcbddc->ksp_D)->prefix, (double)value));
6234: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6235: }
6236: if (neumann) { /* Neumann */
6237: PetscCall(VecSetRandom(pcbddc->vec1_R, NULL));
6238: PetscCall(MatMult(A_RR, pcbddc->vec1_R, pcbddc->vec2_R));
6239: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec2_R, pcbddc->vec2_R));
6240: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
6241: PetscCall(VecAXPY(pcbddc->vec1_R, m_one, pcbddc->vec2_R));
6242: PetscCall(VecNorm(pcbddc->vec1_R, NORM_INFINITY, &value));
6243: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d infinity error for Neumann solve (%s) = % 1.14e\n", PetscGlobalRank, ((PetscObject)pcbddc->ksp_R)->prefix, (double)value));
6244: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6245: }
6246: }
6247: /* free Neumann problem's matrix */
6248: PetscCall(MatDestroy(&A_RR));
6249: PetscFunctionReturn(PETSC_SUCCESS);
6250: }
6252: static PetscErrorCode PCBDDCSolveSubstructureCorrection(PC pc, Vec inout_B, Vec inout_D, PetscBool applytranspose)
6253: {
6254: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6255: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
6256: PetscBool reuse_solver = sub_schurs ? (sub_schurs->reuse_solver ? PETSC_TRUE : PETSC_FALSE) : PETSC_FALSE;
6258: PetscFunctionBegin;
6259: if (!reuse_solver) PetscCall(VecSet(pcbddc->vec1_R, 0.));
6260: if (!pcbddc->switch_static) {
6261: if (applytranspose && pcbddc->local_auxmat1) {
6262: PetscCall(MatMultTranspose(pcbddc->local_auxmat2, inout_B, pcbddc->vec1_C));
6263: PetscCall(MatMultTransposeAdd(pcbddc->local_auxmat1, pcbddc->vec1_C, inout_B, inout_B));
6264: }
6265: if (!reuse_solver) {
6266: PetscCall(VecScatterBegin(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6267: PetscCall(VecScatterEnd(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6268: } else {
6269: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6271: PetscCall(VecScatterBegin(reuse_solver->correction_scatter_B, inout_B, reuse_solver->rhs_B, INSERT_VALUES, SCATTER_FORWARD));
6272: PetscCall(VecScatterEnd(reuse_solver->correction_scatter_B, inout_B, reuse_solver->rhs_B, INSERT_VALUES, SCATTER_FORWARD));
6273: }
6274: } else {
6275: PetscCall(VecScatterBegin(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6276: PetscCall(VecScatterEnd(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6277: PetscCall(VecScatterBegin(pcbddc->R_to_D, inout_D, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6278: PetscCall(VecScatterEnd(pcbddc->R_to_D, inout_D, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6279: if (applytranspose && pcbddc->local_auxmat1) {
6280: PetscCall(MatMultTranspose(pcbddc->local_auxmat2, pcbddc->vec1_R, pcbddc->vec1_C));
6281: PetscCall(MatMultTransposeAdd(pcbddc->local_auxmat1, pcbddc->vec1_C, inout_B, inout_B));
6282: PetscCall(VecScatterBegin(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6283: PetscCall(VecScatterEnd(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6284: }
6285: }
6286: PetscCall(PetscLogEventBegin(PC_BDDC_Solves[pcbddc->current_level][1], pc, 0, 0, 0));
6287: if (!reuse_solver || pcbddc->switch_static) {
6288: if (applytranspose) {
6289: PetscCall(KSPSolveTranspose(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec1_R));
6290: } else {
6291: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec1_R));
6292: }
6293: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec1_R));
6294: } else {
6295: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6297: if (applytranspose) {
6298: PetscCall(MatFactorSolveSchurComplementTranspose(reuse_solver->F, reuse_solver->rhs_B, reuse_solver->sol_B));
6299: } else {
6300: PetscCall(MatFactorSolveSchurComplement(reuse_solver->F, reuse_solver->rhs_B, reuse_solver->sol_B));
6301: }
6302: }
6303: PetscCall(PetscLogEventEnd(PC_BDDC_Solves[pcbddc->current_level][1], pc, 0, 0, 0));
6304: PetscCall(VecSet(inout_B, 0.));
6305: if (!pcbddc->switch_static) {
6306: if (!reuse_solver) {
6307: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6308: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6309: } else {
6310: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6312: PetscCall(VecScatterBegin(reuse_solver->correction_scatter_B, reuse_solver->sol_B, inout_B, INSERT_VALUES, SCATTER_REVERSE));
6313: PetscCall(VecScatterEnd(reuse_solver->correction_scatter_B, reuse_solver->sol_B, inout_B, INSERT_VALUES, SCATTER_REVERSE));
6314: }
6315: if (!applytranspose && pcbddc->local_auxmat1) {
6316: PetscCall(MatMult(pcbddc->local_auxmat1, inout_B, pcbddc->vec1_C));
6317: PetscCall(MatMultAdd(pcbddc->local_auxmat2, pcbddc->vec1_C, inout_B, inout_B));
6318: }
6319: } else {
6320: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6321: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6322: PetscCall(VecScatterBegin(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6323: PetscCall(VecScatterEnd(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6324: if (!applytranspose && pcbddc->local_auxmat1) {
6325: PetscCall(MatMult(pcbddc->local_auxmat1, inout_B, pcbddc->vec1_C));
6326: PetscCall(MatMultAdd(pcbddc->local_auxmat2, pcbddc->vec1_C, pcbddc->vec1_R, pcbddc->vec1_R));
6327: }
6328: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6329: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6330: PetscCall(VecScatterBegin(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6331: PetscCall(VecScatterEnd(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6332: }
6333: PetscFunctionReturn(PETSC_SUCCESS);
6334: }
6336: /* parameter apply transpose determines if the interface preconditioner should be applied transposed or not */
6337: PetscErrorCode PCBDDCApplyInterfacePreconditioner(PC pc, PetscBool applytranspose)
6338: {
6339: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6340: PC_IS *pcis = (PC_IS *)pc->data;
6341: const PetscScalar zero = 0.0;
6343: PetscFunctionBegin;
6344: /* Application of PSI^T or PHI^T (depending on applytranspose, see comment above) */
6345: if (!pcbddc->benign_apply_coarse_only) {
6346: if (applytranspose) {
6347: PetscCall(MatMultTranspose(pcbddc->coarse_phi_B, pcis->vec1_B, pcbddc->vec1_P));
6348: if (pcbddc->switch_static) PetscCall(MatMultTransposeAdd(pcbddc->coarse_phi_D, pcis->vec1_D, pcbddc->vec1_P, pcbddc->vec1_P));
6349: } else {
6350: PetscCall(MatMultTranspose(pcbddc->coarse_psi_B, pcis->vec1_B, pcbddc->vec1_P));
6351: if (pcbddc->switch_static) PetscCall(MatMultTransposeAdd(pcbddc->coarse_psi_D, pcis->vec1_D, pcbddc->vec1_P, pcbddc->vec1_P));
6352: }
6353: } else {
6354: PetscCall(VecSet(pcbddc->vec1_P, zero));
6355: }
6357: /* add p0 to the last value of vec1_P holding the coarse dof relative to p0 */
6358: if (pcbddc->benign_n) {
6359: PetscScalar *array;
6360: PetscInt j;
6362: PetscCall(VecGetArray(pcbddc->vec1_P, &array));
6363: for (j = 0; j < pcbddc->benign_n; j++) array[pcbddc->local_primal_size - pcbddc->benign_n + j] += pcbddc->benign_p0[j];
6364: PetscCall(VecRestoreArray(pcbddc->vec1_P, &array));
6365: }
6367: /* start communications from local primal nodes to rhs of coarse solver */
6368: PetscCall(VecSet(pcbddc->coarse_vec, zero));
6369: PetscCall(PCBDDCScatterCoarseDataBegin(pc, ADD_VALUES, SCATTER_FORWARD));
6370: PetscCall(PCBDDCScatterCoarseDataEnd(pc, ADD_VALUES, SCATTER_FORWARD));
6372: /* Coarse solution -> rhs and sol updated inside PCBDDCScattarCoarseDataBegin/End */
6373: PetscCall(PetscLogEventBegin(PC_BDDC_Solves[pcbddc->current_level][2], pc, 0, 0, 0));
6374: if (pcbddc->coarse_ksp) {
6375: Mat coarse_mat;
6376: Vec rhs, sol;
6377: MatNullSpace nullsp;
6378: PetscBool isbddc = PETSC_FALSE;
6380: if (pcbddc->benign_have_null) {
6381: PC coarse_pc;
6383: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
6384: PetscCall(PetscObjectTypeCompare((PetscObject)coarse_pc, PCBDDC, &isbddc));
6385: /* we need to propagate to coarser levels the need for a possible benign correction */
6386: if (isbddc && pcbddc->benign_apply_coarse_only && !pcbddc->benign_skip_correction) {
6387: PC_BDDC *coarsepcbddc = (PC_BDDC *)coarse_pc->data;
6388: coarsepcbddc->benign_skip_correction = PETSC_FALSE;
6389: coarsepcbddc->benign_apply_coarse_only = PETSC_TRUE;
6390: }
6391: }
6392: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &rhs));
6393: PetscCall(KSPGetSolution(pcbddc->coarse_ksp, &sol));
6394: PetscCall(KSPGetOperators(pcbddc->coarse_ksp, &coarse_mat, NULL));
6395: if (applytranspose) {
6396: PetscCheck(!pcbddc->benign_apply_coarse_only, PetscObjectComm((PetscObject)pcbddc->coarse_ksp), PETSC_ERR_SUP, "Not yet implemented");
6397: PetscCall(KSPSolveTranspose(pcbddc->coarse_ksp, rhs, sol));
6398: PetscCall(KSPCheckSolve(pcbddc->coarse_ksp, pc, sol));
6399: PetscCall(MatGetTransposeNullSpace(coarse_mat, &nullsp));
6400: if (nullsp) PetscCall(MatNullSpaceRemove(nullsp, sol));
6401: } else {
6402: PetscCall(MatGetNullSpace(coarse_mat, &nullsp));
6403: if (pcbddc->benign_apply_coarse_only && isbddc) { /* need just to apply the coarse preconditioner during presolve */
6404: PC coarse_pc;
6406: if (nullsp) PetscCall(MatNullSpaceRemove(nullsp, rhs));
6407: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
6408: PetscCall(PCPreSolve(coarse_pc, pcbddc->coarse_ksp));
6409: PetscCall(PCBDDCBenignRemoveInterior(coarse_pc, rhs, sol));
6410: PetscCall(PCPostSolve(coarse_pc, pcbddc->coarse_ksp));
6411: } else {
6412: PetscCall(KSPSolve(pcbddc->coarse_ksp, rhs, sol));
6413: PetscCall(KSPCheckSolve(pcbddc->coarse_ksp, pc, sol));
6414: if (nullsp) PetscCall(MatNullSpaceRemove(nullsp, sol));
6415: }
6416: }
6417: /* we don't need the benign correction at coarser levels anymore */
6418: if (pcbddc->benign_have_null && isbddc) {
6419: PC coarse_pc;
6420: PC_BDDC *coarsepcbddc;
6422: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
6423: coarsepcbddc = (PC_BDDC *)coarse_pc->data;
6424: coarsepcbddc->benign_skip_correction = PETSC_TRUE;
6425: coarsepcbddc->benign_apply_coarse_only = PETSC_FALSE;
6426: }
6427: }
6428: PetscCall(PetscLogEventEnd(PC_BDDC_Solves[pcbddc->current_level][2], pc, 0, 0, 0));
6430: /* Local solution on R nodes */
6431: if (!pcbddc->benign_apply_coarse_only) PetscCall(PCBDDCSolveSubstructureCorrection(pc, pcis->vec1_B, pcis->vec1_D, applytranspose));
6432: /* communications from coarse sol to local primal nodes */
6433: PetscCall(PCBDDCScatterCoarseDataBegin(pc, INSERT_VALUES, SCATTER_REVERSE));
6434: PetscCall(PCBDDCScatterCoarseDataEnd(pc, INSERT_VALUES, SCATTER_REVERSE));
6436: /* Sum contributions from the two levels */
6437: if (!pcbddc->benign_apply_coarse_only) {
6438: if (applytranspose) {
6439: PetscCall(MatMultAdd(pcbddc->coarse_psi_B, pcbddc->vec1_P, pcis->vec1_B, pcis->vec1_B));
6440: if (pcbddc->switch_static) PetscCall(MatMultAdd(pcbddc->coarse_psi_D, pcbddc->vec1_P, pcis->vec1_D, pcis->vec1_D));
6441: } else {
6442: PetscCall(MatMultAdd(pcbddc->coarse_phi_B, pcbddc->vec1_P, pcis->vec1_B, pcis->vec1_B));
6443: if (pcbddc->switch_static) PetscCall(MatMultAdd(pcbddc->coarse_phi_D, pcbddc->vec1_P, pcis->vec1_D, pcis->vec1_D));
6444: }
6445: /* store p0 */
6446: if (pcbddc->benign_n) {
6447: PetscScalar *array;
6448: PetscInt j;
6450: PetscCall(VecGetArray(pcbddc->vec1_P, &array));
6451: for (j = 0; j < pcbddc->benign_n; j++) pcbddc->benign_p0[j] = array[pcbddc->local_primal_size - pcbddc->benign_n + j];
6452: PetscCall(VecRestoreArray(pcbddc->vec1_P, &array));
6453: }
6454: } else { /* expand the coarse solution */
6455: if (applytranspose) {
6456: PetscCall(MatMult(pcbddc->coarse_psi_B, pcbddc->vec1_P, pcis->vec1_B));
6457: } else {
6458: PetscCall(MatMult(pcbddc->coarse_phi_B, pcbddc->vec1_P, pcis->vec1_B));
6459: }
6460: }
6461: PetscFunctionReturn(PETSC_SUCCESS);
6462: }
6464: PetscErrorCode PCBDDCScatterCoarseDataBegin(PC pc, InsertMode imode, ScatterMode smode)
6465: {
6466: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6467: Vec from, to;
6468: const PetscScalar *array;
6470: PetscFunctionBegin;
6471: if (smode == SCATTER_REVERSE) { /* from global to local -> get data from coarse solution */
6472: from = pcbddc->coarse_vec;
6473: to = pcbddc->vec1_P;
6474: if (pcbddc->coarse_ksp) { /* get array from coarse processes */
6475: Vec tvec;
6477: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &tvec));
6478: PetscCall(VecResetArray(tvec));
6479: PetscCall(KSPGetSolution(pcbddc->coarse_ksp, &tvec));
6480: PetscCall(VecGetArrayRead(tvec, &array));
6481: PetscCall(VecPlaceArray(from, array));
6482: PetscCall(VecRestoreArrayRead(tvec, &array));
6483: }
6484: } else { /* from local to global -> put data in coarse right-hand side */
6485: from = pcbddc->vec1_P;
6486: to = pcbddc->coarse_vec;
6487: }
6488: PetscCall(VecScatterBegin(pcbddc->coarse_loc_to_glob, from, to, imode, smode));
6489: PetscFunctionReturn(PETSC_SUCCESS);
6490: }
6492: PetscErrorCode PCBDDCScatterCoarseDataEnd(PC pc, InsertMode imode, ScatterMode smode)
6493: {
6494: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6495: Vec from, to;
6496: const PetscScalar *array;
6498: PetscFunctionBegin;
6499: if (smode == SCATTER_REVERSE) { /* from global to local -> get data from coarse solution */
6500: from = pcbddc->coarse_vec;
6501: to = pcbddc->vec1_P;
6502: } else { /* from local to global -> put data in coarse right-hand side */
6503: from = pcbddc->vec1_P;
6504: to = pcbddc->coarse_vec;
6505: }
6506: PetscCall(VecScatterEnd(pcbddc->coarse_loc_to_glob, from, to, imode, smode));
6507: if (smode == SCATTER_FORWARD) {
6508: if (pcbddc->coarse_ksp) { /* get array from coarse processes */
6509: Vec tvec;
6511: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &tvec));
6512: PetscCall(VecGetArrayRead(to, &array));
6513: PetscCall(VecPlaceArray(tvec, array));
6514: PetscCall(VecRestoreArrayRead(to, &array));
6515: }
6516: } else {
6517: if (pcbddc->coarse_ksp) { /* restore array of pcbddc->coarse_vec */
6518: PetscCall(VecResetArray(from));
6519: }
6520: }
6521: PetscFunctionReturn(PETSC_SUCCESS);
6522: }
6524: PetscErrorCode PCBDDCConstraintsSetUp(PC pc)
6525: {
6526: PC_IS *pcis = (PC_IS *)pc->data;
6527: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6528: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
6529: /* one and zero */
6530: PetscScalar one = 1.0, zero = 0.0;
6531: /* space to store constraints and their local indices */
6532: PetscScalar *constraints_data;
6533: PetscInt *constraints_idxs, *constraints_idxs_B;
6534: PetscInt *constraints_idxs_ptr, *constraints_data_ptr;
6535: PetscInt *constraints_n;
6536: /* iterators */
6537: PetscInt i, j, k, total_counts, total_counts_cc, cum;
6538: /* BLAS integers */
6539: PetscBLASInt lwork, lierr;
6540: PetscBLASInt Blas_N, Blas_M, Blas_K, Blas_one = 1;
6541: PetscBLASInt Blas_LDA, Blas_LDB, Blas_LDC;
6542: /* reuse */
6543: PetscInt olocal_primal_size, olocal_primal_size_cc;
6544: PetscInt *olocal_primal_ref_node, *olocal_primal_ref_mult;
6545: /* change of basis */
6546: PetscBool qr_needed;
6547: PetscBT change_basis, qr_needed_idx;
6548: /* auxiliary stuff */
6549: PetscInt *nnz, *is_indices;
6550: PetscInt ncc;
6551: /* some quantities */
6552: PetscInt n_vertices, total_primal_vertices, valid_constraints;
6553: PetscInt size_of_constraint, max_size_of_constraint = 0, max_constraints, temp_constraints;
6554: PetscReal tol; /* tolerance for retaining eigenmodes */
6556: PetscFunctionBegin;
6557: tol = PetscSqrtReal(PETSC_SMALL);
6558: /* Destroy Mat objects computed previously */
6559: PetscCall(MatDestroy(&pcbddc->ChangeOfBasisMatrix));
6560: PetscCall(MatDestroy(&pcbddc->ConstraintMatrix));
6561: PetscCall(MatDestroy(&pcbddc->switch_static_change));
6562: /* save info on constraints from previous setup (if any) */
6563: olocal_primal_size = pcbddc->local_primal_size;
6564: olocal_primal_size_cc = pcbddc->local_primal_size_cc;
6565: PetscCall(PetscMalloc2(olocal_primal_size_cc, &olocal_primal_ref_node, olocal_primal_size_cc, &olocal_primal_ref_mult));
6566: PetscCall(PetscArraycpy(olocal_primal_ref_node, pcbddc->local_primal_ref_node, olocal_primal_size_cc));
6567: PetscCall(PetscArraycpy(olocal_primal_ref_mult, pcbddc->local_primal_ref_mult, olocal_primal_size_cc));
6568: PetscCall(PetscFree2(pcbddc->local_primal_ref_node, pcbddc->local_primal_ref_mult));
6569: PetscCall(PetscFree(pcbddc->primal_indices_local_idxs));
6571: if (!pcbddc->adaptive_selection) {
6572: IS ISForVertices, *ISForFaces, *ISForEdges;
6573: MatNullSpace nearnullsp;
6574: const Vec *nearnullvecs;
6575: Vec *localnearnullsp;
6576: PetscScalar *array;
6577: PetscInt n_ISForFaces, n_ISForEdges, nnsp_size, o_nf, o_ne;
6578: PetscBool nnsp_has_cnst;
6579: /* LAPACK working arrays for SVD or POD */
6580: PetscBool skip_lapack, boolforchange;
6581: PetscScalar *work;
6582: PetscReal *singular_vals;
6583: #if defined(PETSC_USE_COMPLEX)
6584: PetscReal *rwork;
6585: #endif
6586: PetscScalar *temp_basis = NULL, *correlation_mat = NULL;
6587: PetscBLASInt dummy_int = 1;
6588: PetscScalar dummy_scalar = 1.;
6589: PetscBool use_pod = PetscDefined(MISSING_LAPACK_GESVD) || PetscDefined(HAVE_MKL_LIBS) ? PETSC_TRUE : PETSC_FALSE; /* MKL SVD with same input gives different results on different processes! */
6591: /* Get index sets for faces, edges and vertices from graph */
6592: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, &n_ISForFaces, &ISForFaces, &n_ISForEdges, &ISForEdges, &ISForVertices));
6593: o_nf = n_ISForFaces;
6594: o_ne = n_ISForEdges;
6595: n_vertices = 0;
6596: if (ISForVertices) PetscCall(ISGetSize(ISForVertices, &n_vertices));
6597: /* print some info */
6598: if (pcbddc->dbg_flag && (!pcbddc->sub_schurs || pcbddc->sub_schurs_rebuild)) {
6599: if (!pcbddc->dbg_viewer) pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
6600: PetscCall(PCBDDCGraphASCIIView(pcbddc->mat_graph, pcbddc->dbg_flag, pcbddc->dbg_viewer));
6601: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
6602: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "--------------------------------------------------------------\n"));
6603: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate vertices (%d)\n", PetscGlobalRank, n_vertices, pcbddc->use_vertices));
6604: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate edges (%d)\n", PetscGlobalRank, n_ISForEdges, pcbddc->use_edges));
6605: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate faces (%d)\n", PetscGlobalRank, n_ISForFaces, pcbddc->use_faces));
6606: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6607: PetscCall(PetscViewerASCIIPopSynchronized(pcbddc->dbg_viewer));
6608: }
6610: if (!pcbddc->use_vertices) n_vertices = 0;
6611: if (!pcbddc->use_edges) n_ISForEdges = 0;
6612: if (!pcbddc->use_faces) n_ISForFaces = 0;
6614: /* check if near null space is attached to global mat */
6615: if (pcbddc->use_nnsp) PetscCall(MatGetNearNullSpace(pc->pmat, &nearnullsp));
6616: else nearnullsp = NULL;
6618: if (nearnullsp) {
6619: PetscCall(MatNullSpaceGetVecs(nearnullsp, &nnsp_has_cnst, &nnsp_size, &nearnullvecs));
6620: /* remove any stored info */
6621: PetscCall(MatNullSpaceDestroy(&pcbddc->onearnullspace));
6622: PetscCall(PetscFree(pcbddc->onearnullvecs_state));
6623: /* store information for BDDC solver reuse */
6624: PetscCall(PetscObjectReference((PetscObject)nearnullsp));
6625: pcbddc->onearnullspace = nearnullsp;
6626: PetscCall(PetscMalloc1(nnsp_size, &pcbddc->onearnullvecs_state));
6627: for (i = 0; i < nnsp_size; i++) PetscCall(PetscObjectStateGet((PetscObject)nearnullvecs[i], &pcbddc->onearnullvecs_state[i]));
6628: } else { /* if near null space is not provided BDDC uses constants by default */
6629: nnsp_size = 0;
6630: nnsp_has_cnst = PETSC_TRUE;
6631: }
6632: /* get max number of constraints on a single cc */
6633: max_constraints = nnsp_size;
6634: if (nnsp_has_cnst) max_constraints++;
6636: /*
6637: Evaluate maximum storage size needed by the procedure
6638: - Indices for connected component i stored at "constraints_idxs + constraints_idxs_ptr[i]"
6639: - Values for constraints on connected component i stored at "constraints_data + constraints_data_ptr[i]"
6640: There can be multiple constraints per connected component
6641: */
6642: ncc = n_vertices + n_ISForFaces + n_ISForEdges;
6643: PetscCall(PetscMalloc3(ncc + 1, &constraints_idxs_ptr, ncc + 1, &constraints_data_ptr, ncc, &constraints_n));
6645: total_counts = n_ISForFaces + n_ISForEdges;
6646: total_counts *= max_constraints;
6647: total_counts += n_vertices;
6648: PetscCall(PetscBTCreate(total_counts, &change_basis));
6650: total_counts = 0;
6651: max_size_of_constraint = 0;
6652: for (i = 0; i < n_ISForEdges + n_ISForFaces; i++) {
6653: IS used_is;
6654: if (i < n_ISForEdges) {
6655: used_is = ISForEdges[i];
6656: } else {
6657: used_is = ISForFaces[i - n_ISForEdges];
6658: }
6659: PetscCall(ISGetSize(used_is, &j));
6660: total_counts += j;
6661: max_size_of_constraint = PetscMax(j, max_size_of_constraint);
6662: }
6663: PetscCall(PetscMalloc3(total_counts * max_constraints + n_vertices, &constraints_data, total_counts + n_vertices, &constraints_idxs, total_counts + n_vertices, &constraints_idxs_B));
6665: /* get local part of global near null space vectors */
6666: PetscCall(PetscMalloc1(nnsp_size, &localnearnullsp));
6667: for (k = 0; k < nnsp_size; k++) {
6668: PetscCall(VecDuplicate(pcis->vec1_N, &localnearnullsp[k]));
6669: PetscCall(VecScatterBegin(matis->rctx, nearnullvecs[k], localnearnullsp[k], INSERT_VALUES, SCATTER_FORWARD));
6670: PetscCall(VecScatterEnd(matis->rctx, nearnullvecs[k], localnearnullsp[k], INSERT_VALUES, SCATTER_FORWARD));
6671: }
6673: /* whether or not to skip lapack calls */
6674: skip_lapack = PETSC_TRUE;
6675: if (n_ISForFaces + n_ISForEdges && max_constraints > 1 && !pcbddc->use_nnsp_true) skip_lapack = PETSC_FALSE;
6677: /* First we issue queries to allocate optimal workspace for LAPACKgesvd (or LAPACKsyev if SVD is missing) */
6678: if (!skip_lapack) {
6679: PetscScalar temp_work;
6681: if (use_pod) {
6682: /* Proper Orthogonal Decomposition (POD) using the snapshot method */
6683: PetscCall(PetscMalloc1(max_constraints * max_constraints, &correlation_mat));
6684: PetscCall(PetscMalloc1(max_constraints, &singular_vals));
6685: PetscCall(PetscMalloc1(max_size_of_constraint * max_constraints, &temp_basis));
6686: #if defined(PETSC_USE_COMPLEX)
6687: PetscCall(PetscMalloc1(3 * max_constraints, &rwork));
6688: #endif
6689: /* now we evaluate the optimal workspace using query with lwork=-1 */
6690: PetscCall(PetscBLASIntCast(max_constraints, &Blas_N));
6691: PetscCall(PetscBLASIntCast(max_constraints, &Blas_LDA));
6692: lwork = -1;
6693: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6694: #if !defined(PETSC_USE_COMPLEX)
6695: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, &temp_work, &lwork, &lierr));
6696: #else
6697: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, &temp_work, &lwork, rwork, &lierr));
6698: #endif
6699: PetscCall(PetscFPTrapPop());
6700: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to SYEV Lapack routine %" PetscBLASInt_FMT, lierr);
6701: } else {
6702: #if !defined(PETSC_MISSING_LAPACK_GESVD)
6703: /* SVD */
6704: PetscInt max_n, min_n;
6705: max_n = max_size_of_constraint;
6706: min_n = max_constraints;
6707: if (max_size_of_constraint < max_constraints) {
6708: min_n = max_size_of_constraint;
6709: max_n = max_constraints;
6710: }
6711: PetscCall(PetscMalloc1(min_n, &singular_vals));
6712: #if defined(PETSC_USE_COMPLEX)
6713: PetscCall(PetscMalloc1(5 * min_n, &rwork));
6714: #endif
6715: /* now we evaluate the optimal workspace using query with lwork=-1 */
6716: lwork = -1;
6717: PetscCall(PetscBLASIntCast(max_n, &Blas_M));
6718: PetscCall(PetscBLASIntCast(min_n, &Blas_N));
6719: PetscCall(PetscBLASIntCast(max_n, &Blas_LDA));
6720: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6721: #if !defined(PETSC_USE_COMPLEX)
6722: 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));
6723: #else
6724: 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));
6725: #endif
6726: PetscCall(PetscFPTrapPop());
6727: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to GESVD Lapack routine %" PetscBLASInt_FMT, lierr);
6728: #else
6729: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_LIB, "This should not happen");
6730: #endif /* on missing GESVD */
6731: }
6732: /* Allocate optimal workspace */
6733: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(temp_work), &lwork));
6734: PetscCall(PetscMalloc1(lwork, &work));
6735: }
6736: /* Now we can loop on constraining sets */
6737: total_counts = 0;
6738: constraints_idxs_ptr[0] = 0;
6739: constraints_data_ptr[0] = 0;
6740: /* vertices */
6741: if (n_vertices) {
6742: PetscCall(ISGetIndices(ISForVertices, (const PetscInt **)&is_indices));
6743: PetscCall(PetscArraycpy(constraints_idxs, is_indices, n_vertices));
6744: for (i = 0; i < n_vertices; i++) {
6745: constraints_n[total_counts] = 1;
6746: constraints_data[total_counts] = 1.0;
6747: constraints_idxs_ptr[total_counts + 1] = constraints_idxs_ptr[total_counts] + 1;
6748: constraints_data_ptr[total_counts + 1] = constraints_data_ptr[total_counts] + 1;
6749: total_counts++;
6750: }
6751: PetscCall(ISRestoreIndices(ISForVertices, (const PetscInt **)&is_indices));
6752: }
6754: /* edges and faces */
6755: total_counts_cc = total_counts;
6756: for (ncc = 0; ncc < n_ISForEdges + n_ISForFaces; ncc++) {
6757: IS used_is;
6758: PetscBool idxs_copied = PETSC_FALSE;
6760: if (ncc < n_ISForEdges) {
6761: used_is = ISForEdges[ncc];
6762: boolforchange = pcbddc->use_change_of_basis; /* change or not the basis on the edge */
6763: } else {
6764: used_is = ISForFaces[ncc - n_ISForEdges];
6765: boolforchange = (PetscBool)(pcbddc->use_change_of_basis && pcbddc->use_change_on_faces); /* change or not the basis on the face */
6766: }
6767: temp_constraints = 0; /* zero the number of constraints I have on this conn comp */
6769: PetscCall(ISGetSize(used_is, &size_of_constraint));
6770: if (!size_of_constraint) continue;
6771: PetscCall(ISGetIndices(used_is, (const PetscInt **)&is_indices));
6772: if (nnsp_has_cnst) {
6773: PetscScalar quad_value;
6775: PetscCall(PetscArraycpy(constraints_idxs + constraints_idxs_ptr[total_counts_cc], is_indices, size_of_constraint));
6776: idxs_copied = PETSC_TRUE;
6778: if (!pcbddc->use_nnsp_true) {
6779: quad_value = (PetscScalar)(1.0 / PetscSqrtReal((PetscReal)size_of_constraint));
6780: } else {
6781: quad_value = 1.0;
6782: }
6783: for (j = 0; j < size_of_constraint; j++) constraints_data[constraints_data_ptr[total_counts_cc] + j] = quad_value;
6784: temp_constraints++;
6785: total_counts++;
6786: }
6787: for (k = 0; k < nnsp_size; k++) {
6788: PetscReal real_value;
6789: PetscScalar *ptr_to_data;
6791: PetscCall(VecGetArrayRead(localnearnullsp[k], (const PetscScalar **)&array));
6792: ptr_to_data = &constraints_data[constraints_data_ptr[total_counts_cc] + temp_constraints * size_of_constraint];
6793: for (j = 0; j < size_of_constraint; j++) ptr_to_data[j] = array[is_indices[j]];
6794: PetscCall(VecRestoreArrayRead(localnearnullsp[k], (const PetscScalar **)&array));
6795: /* check if array is null on the connected component */
6796: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
6797: PetscCallBLAS("BLASasum", real_value = BLASasum_(&Blas_N, ptr_to_data, &Blas_one));
6798: if (real_value > tol * size_of_constraint) { /* keep indices and values */
6799: temp_constraints++;
6800: total_counts++;
6801: if (!idxs_copied) {
6802: PetscCall(PetscArraycpy(constraints_idxs + constraints_idxs_ptr[total_counts_cc], is_indices, size_of_constraint));
6803: idxs_copied = PETSC_TRUE;
6804: }
6805: }
6806: }
6807: PetscCall(ISRestoreIndices(used_is, (const PetscInt **)&is_indices));
6808: valid_constraints = temp_constraints;
6809: if (!pcbddc->use_nnsp_true && temp_constraints) {
6810: if (temp_constraints == 1) { /* just normalize the constraint */
6811: PetscScalar norm, *ptr_to_data;
6813: ptr_to_data = &constraints_data[constraints_data_ptr[total_counts_cc]];
6814: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
6815: PetscCallBLAS("BLASdot", norm = BLASdot_(&Blas_N, ptr_to_data, &Blas_one, ptr_to_data, &Blas_one));
6816: norm = 1.0 / PetscSqrtReal(PetscRealPart(norm));
6817: PetscCallBLAS("BLASscal", BLASscal_(&Blas_N, &norm, ptr_to_data, &Blas_one));
6818: } else { /* perform SVD */
6819: PetscScalar *ptr_to_data = &constraints_data[constraints_data_ptr[total_counts_cc]];
6821: if (use_pod) {
6822: /* SVD: Y = U*S*V^H -> U (eigenvectors of Y*Y^H) = Y*V*(S)^\dag
6823: POD: Y^H*Y = V*D*V^H, D = S^H*S -> U = Y*V*D^(-1/2)
6824: -> When PETSC_USE_COMPLEX and PETSC_MISSING_LAPACK_GESVD are defined
6825: the constraints basis will differ (by a complex factor with absolute value equal to 1)
6826: from that computed using LAPACKgesvd
6827: -> This is due to a different computation of eigenvectors in LAPACKheev
6828: -> The quality of the POD-computed basis will be the same */
6829: PetscCall(PetscArrayzero(correlation_mat, temp_constraints * temp_constraints));
6830: /* Store upper triangular part of correlation matrix */
6831: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
6832: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6833: for (j = 0; j < temp_constraints; j++) {
6834: 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));
6835: }
6836: /* compute eigenvalues and eigenvectors of correlation matrix */
6837: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_N));
6838: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_LDA));
6839: #if !defined(PETSC_USE_COMPLEX)
6840: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, work, &lwork, &lierr));
6841: #else
6842: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, work, &lwork, rwork, &lierr));
6843: #endif
6844: PetscCall(PetscFPTrapPop());
6845: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYEV Lapack routine %" PetscBLASInt_FMT, lierr);
6846: /* retain eigenvalues greater than tol: note that LAPACKsyev gives eigs in ascending order */
6847: j = 0;
6848: while (j < temp_constraints && singular_vals[j] / singular_vals[temp_constraints - 1] < tol) j++;
6849: total_counts = total_counts - j;
6850: valid_constraints = temp_constraints - j;
6851: /* scale and copy POD basis into used quadrature memory */
6852: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
6853: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_N));
6854: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_K));
6855: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
6856: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_LDB));
6857: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDC));
6858: if (j < temp_constraints) {
6859: PetscInt ii;
6860: for (k = j; k < temp_constraints; k++) singular_vals[k] = 1.0 / PetscSqrtReal(singular_vals[k]);
6861: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6862: 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));
6863: PetscCall(PetscFPTrapPop());
6864: for (k = 0; k < temp_constraints - j; k++) {
6865: 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];
6866: }
6867: }
6868: } else {
6869: #if !defined(PETSC_MISSING_LAPACK_GESVD)
6870: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
6871: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_N));
6872: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
6873: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6874: #if !defined(PETSC_USE_COMPLEX)
6875: 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));
6876: #else
6877: 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));
6878: #endif
6879: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in GESVD Lapack routine %" PetscBLASInt_FMT, lierr);
6880: PetscCall(PetscFPTrapPop());
6881: /* retain eigenvalues greater than tol: note that LAPACKgesvd gives eigs in descending order */
6882: k = temp_constraints;
6883: if (k > size_of_constraint) k = size_of_constraint;
6884: j = 0;
6885: while (j < k && singular_vals[k - j - 1] / singular_vals[0] < tol) j++;
6886: valid_constraints = k - j;
6887: total_counts = total_counts - temp_constraints + valid_constraints;
6888: #else
6889: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_LIB, "This should not happen");
6890: #endif /* on missing GESVD */
6891: }
6892: }
6893: }
6894: /* update pointers information */
6895: if (valid_constraints) {
6896: constraints_n[total_counts_cc] = valid_constraints;
6897: constraints_idxs_ptr[total_counts_cc + 1] = constraints_idxs_ptr[total_counts_cc] + size_of_constraint;
6898: constraints_data_ptr[total_counts_cc + 1] = constraints_data_ptr[total_counts_cc] + size_of_constraint * valid_constraints;
6899: /* set change_of_basis flag */
6900: if (boolforchange) PetscCall(PetscBTSet(change_basis, total_counts_cc));
6901: total_counts_cc++;
6902: }
6903: }
6904: /* free workspace */
6905: if (!skip_lapack) {
6906: PetscCall(PetscFree(work));
6907: #if defined(PETSC_USE_COMPLEX)
6908: PetscCall(PetscFree(rwork));
6909: #endif
6910: PetscCall(PetscFree(singular_vals));
6911: PetscCall(PetscFree(correlation_mat));
6912: PetscCall(PetscFree(temp_basis));
6913: }
6914: for (k = 0; k < nnsp_size; k++) PetscCall(VecDestroy(&localnearnullsp[k]));
6915: PetscCall(PetscFree(localnearnullsp));
6916: /* free index sets of faces, edges and vertices */
6917: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, &o_nf, &ISForFaces, &o_ne, &ISForEdges, &ISForVertices));
6918: } else {
6919: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
6921: total_counts = 0;
6922: n_vertices = 0;
6923: if (sub_schurs->is_vertices && pcbddc->use_vertices) PetscCall(ISGetLocalSize(sub_schurs->is_vertices, &n_vertices));
6924: max_constraints = 0;
6925: total_counts_cc = 0;
6926: for (i = 0; i < sub_schurs->n_subs + n_vertices; i++) {
6927: total_counts += pcbddc->adaptive_constraints_n[i];
6928: if (pcbddc->adaptive_constraints_n[i]) total_counts_cc++;
6929: max_constraints = PetscMax(max_constraints, pcbddc->adaptive_constraints_n[i]);
6930: }
6931: constraints_idxs_ptr = pcbddc->adaptive_constraints_idxs_ptr;
6932: constraints_data_ptr = pcbddc->adaptive_constraints_data_ptr;
6933: constraints_idxs = pcbddc->adaptive_constraints_idxs;
6934: constraints_data = pcbddc->adaptive_constraints_data;
6935: /* constraints_n differs from pcbddc->adaptive_constraints_n */
6936: PetscCall(PetscMalloc1(total_counts_cc, &constraints_n));
6937: total_counts_cc = 0;
6938: for (i = 0; i < sub_schurs->n_subs + n_vertices; i++) {
6939: if (pcbddc->adaptive_constraints_n[i]) constraints_n[total_counts_cc++] = pcbddc->adaptive_constraints_n[i];
6940: }
6942: max_size_of_constraint = 0;
6943: 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]);
6944: PetscCall(PetscMalloc1(constraints_idxs_ptr[total_counts_cc], &constraints_idxs_B));
6945: /* Change of basis */
6946: PetscCall(PetscBTCreate(total_counts_cc, &change_basis));
6947: if (pcbddc->use_change_of_basis) {
6948: for (i = 0; i < sub_schurs->n_subs; i++) {
6949: if (PetscBTLookup(sub_schurs->is_edge, i) || pcbddc->use_change_on_faces) PetscCall(PetscBTSet(change_basis, i + n_vertices));
6950: }
6951: }
6952: }
6953: pcbddc->local_primal_size = total_counts;
6954: PetscCall(PetscMalloc1(pcbddc->local_primal_size + pcbddc->benign_n, &pcbddc->primal_indices_local_idxs));
6956: /* map constraints_idxs in boundary numbering */
6957: if (pcbddc->use_change_of_basis) {
6958: PetscCall(ISGlobalToLocalMappingApply(pcis->BtoNmap, IS_GTOLM_DROP, constraints_idxs_ptr[total_counts_cc], constraints_idxs, &i, constraints_idxs_B));
6959: 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);
6960: }
6962: /* Create constraint matrix */
6963: PetscCall(MatCreate(PETSC_COMM_SELF, &pcbddc->ConstraintMatrix));
6964: PetscCall(MatSetType(pcbddc->ConstraintMatrix, MATAIJ));
6965: PetscCall(MatSetSizes(pcbddc->ConstraintMatrix, pcbddc->local_primal_size, pcis->n, pcbddc->local_primal_size, pcis->n));
6967: /* find primal_dofs: subdomain corners plus dofs selected as primal after change of basis */
6968: /* determine if a QR strategy is needed for change of basis */
6969: qr_needed = pcbddc->use_qr_single;
6970: PetscCall(PetscBTCreate(total_counts_cc, &qr_needed_idx));
6971: total_primal_vertices = 0;
6972: pcbddc->local_primal_size_cc = 0;
6973: for (i = 0; i < total_counts_cc; i++) {
6974: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
6975: if (size_of_constraint == 1 && pcbddc->mat_graph->custom_minimal_size) {
6976: pcbddc->primal_indices_local_idxs[total_primal_vertices++] = constraints_idxs[constraints_idxs_ptr[i]];
6977: pcbddc->local_primal_size_cc += 1;
6978: } else if (PetscBTLookup(change_basis, i)) {
6979: for (k = 0; k < constraints_n[i]; k++) pcbddc->primal_indices_local_idxs[total_primal_vertices++] = constraints_idxs[constraints_idxs_ptr[i] + k];
6980: pcbddc->local_primal_size_cc += constraints_n[i];
6981: if (constraints_n[i] > 1 || pcbddc->use_qr_single) {
6982: PetscCall(PetscBTSet(qr_needed_idx, i));
6983: qr_needed = PETSC_TRUE;
6984: }
6985: } else {
6986: pcbddc->local_primal_size_cc += 1;
6987: }
6988: }
6989: /* note that the local variable n_vertices used below stores the number of pointwise constraints */
6990: pcbddc->n_vertices = total_primal_vertices;
6991: /* permute indices in order to have a sorted set of vertices */
6992: PetscCall(PetscSortInt(total_primal_vertices, pcbddc->primal_indices_local_idxs));
6993: 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));
6994: PetscCall(PetscArraycpy(pcbddc->local_primal_ref_node, pcbddc->primal_indices_local_idxs, total_primal_vertices));
6995: for (i = 0; i < total_primal_vertices; i++) pcbddc->local_primal_ref_mult[i] = 1;
6997: /* nonzero structure of constraint matrix */
6998: /* and get reference dof for local constraints */
6999: PetscCall(PetscMalloc1(pcbddc->local_primal_size, &nnz));
7000: for (i = 0; i < total_primal_vertices; i++) nnz[i] = 1;
7002: j = total_primal_vertices;
7003: total_counts = total_primal_vertices;
7004: cum = total_primal_vertices;
7005: for (i = n_vertices; i < total_counts_cc; i++) {
7006: if (!PetscBTLookup(change_basis, i)) {
7007: pcbddc->local_primal_ref_node[cum] = constraints_idxs[constraints_idxs_ptr[i]];
7008: pcbddc->local_primal_ref_mult[cum] = constraints_n[i];
7009: cum++;
7010: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
7011: for (k = 0; k < constraints_n[i]; k++) {
7012: pcbddc->primal_indices_local_idxs[total_counts++] = constraints_idxs[constraints_idxs_ptr[i] + k];
7013: nnz[j + k] = size_of_constraint;
7014: }
7015: j += constraints_n[i];
7016: }
7017: }
7018: PetscCall(MatSeqAIJSetPreallocation(pcbddc->ConstraintMatrix, 0, nnz));
7019: PetscCall(MatSetOption(pcbddc->ConstraintMatrix, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
7020: PetscCall(MatSetOption(pcbddc->ConstraintMatrix, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE));
7021: PetscCall(PetscFree(nnz));
7023: /* set values in constraint matrix */
7024: for (i = 0; i < total_primal_vertices; i++) PetscCall(MatSetValue(pcbddc->ConstraintMatrix, i, pcbddc->local_primal_ref_node[i], 1.0, INSERT_VALUES));
7025: total_counts = total_primal_vertices;
7026: for (i = n_vertices; i < total_counts_cc; i++) {
7027: if (!PetscBTLookup(change_basis, i)) {
7028: PetscInt *cols;
7030: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
7031: cols = constraints_idxs + constraints_idxs_ptr[i];
7032: for (k = 0; k < constraints_n[i]; k++) {
7033: PetscInt row = total_counts + k;
7034: PetscScalar *vals;
7036: vals = constraints_data + constraints_data_ptr[i] + k * size_of_constraint;
7037: PetscCall(MatSetValues(pcbddc->ConstraintMatrix, 1, &row, size_of_constraint, cols, vals, INSERT_VALUES));
7038: }
7039: total_counts += constraints_n[i];
7040: }
7041: }
7042: /* assembling */
7043: PetscCall(MatAssemblyBegin(pcbddc->ConstraintMatrix, MAT_FINAL_ASSEMBLY));
7044: PetscCall(MatAssemblyEnd(pcbddc->ConstraintMatrix, MAT_FINAL_ASSEMBLY));
7045: PetscCall(MatViewFromOptions(pcbddc->ConstraintMatrix, (PetscObject)pc, "-pc_bddc_constraint_mat_view"));
7047: /* Create matrix for change of basis. We don't need it in case pcbddc->use_change_of_basis is FALSE */
7048: if (pcbddc->use_change_of_basis) {
7049: /* dual and primal dofs on a single cc */
7050: PetscInt dual_dofs, primal_dofs;
7051: /* working stuff for GEQRF */
7052: PetscScalar *qr_basis = NULL, *qr_tau = NULL, *qr_work = NULL, lqr_work_t;
7053: PetscBLASInt lqr_work;
7054: /* working stuff for UNGQR */
7055: PetscScalar *gqr_work = NULL, lgqr_work_t = 0.0;
7056: PetscBLASInt lgqr_work;
7057: /* working stuff for TRTRS */
7058: PetscScalar *trs_rhs = NULL;
7059: PetscBLASInt Blas_NRHS;
7060: /* pointers for values insertion into change of basis matrix */
7061: PetscInt *start_rows, *start_cols;
7062: PetscScalar *start_vals;
7063: /* working stuff for values insertion */
7064: PetscBT is_primal;
7065: PetscInt *aux_primal_numbering_B;
7066: /* matrix sizes */
7067: PetscInt global_size, local_size;
7068: /* temporary change of basis */
7069: Mat localChangeOfBasisMatrix;
7070: /* extra space for debugging */
7071: PetscScalar *dbg_work = NULL;
7073: PetscCall(MatCreate(PETSC_COMM_SELF, &localChangeOfBasisMatrix));
7074: PetscCall(MatSetType(localChangeOfBasisMatrix, MATAIJ));
7075: PetscCall(MatSetSizes(localChangeOfBasisMatrix, pcis->n, pcis->n, pcis->n, pcis->n));
7076: /* nonzeros for local mat */
7077: PetscCall(PetscMalloc1(pcis->n, &nnz));
7078: if (!pcbddc->benign_change || pcbddc->fake_change) {
7079: for (i = 0; i < pcis->n; i++) nnz[i] = 1;
7080: } else {
7081: const PetscInt *ii;
7082: PetscInt n;
7083: PetscBool flg_row;
7084: PetscCall(MatGetRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, NULL, &flg_row));
7085: for (i = 0; i < n; i++) nnz[i] = ii[i + 1] - ii[i];
7086: PetscCall(MatRestoreRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, NULL, &flg_row));
7087: }
7088: for (i = n_vertices; i < total_counts_cc; i++) {
7089: if (PetscBTLookup(change_basis, i)) {
7090: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
7091: if (PetscBTLookup(qr_needed_idx, i)) {
7092: for (j = 0; j < size_of_constraint; j++) nnz[constraints_idxs[constraints_idxs_ptr[i] + j]] = size_of_constraint;
7093: } else {
7094: nnz[constraints_idxs[constraints_idxs_ptr[i]]] = size_of_constraint;
7095: for (j = 1; j < size_of_constraint; j++) nnz[constraints_idxs[constraints_idxs_ptr[i] + j]] = 2;
7096: }
7097: }
7098: }
7099: PetscCall(MatSeqAIJSetPreallocation(localChangeOfBasisMatrix, 0, nnz));
7100: PetscCall(MatSetOption(localChangeOfBasisMatrix, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
7101: PetscCall(PetscFree(nnz));
7102: /* Set interior change in the matrix */
7103: if (!pcbddc->benign_change || pcbddc->fake_change) {
7104: for (i = 0; i < pcis->n; i++) PetscCall(MatSetValue(localChangeOfBasisMatrix, i, i, 1.0, INSERT_VALUES));
7105: } else {
7106: const PetscInt *ii, *jj;
7107: PetscScalar *aa;
7108: PetscInt n;
7109: PetscBool flg_row;
7110: PetscCall(MatGetRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg_row));
7111: PetscCall(MatSeqAIJGetArray(pcbddc->benign_change, &aa));
7112: for (i = 0; i < n; i++) PetscCall(MatSetValues(localChangeOfBasisMatrix, 1, &i, ii[i + 1] - ii[i], jj + ii[i], aa + ii[i], INSERT_VALUES));
7113: PetscCall(MatSeqAIJRestoreArray(pcbddc->benign_change, &aa));
7114: PetscCall(MatRestoreRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg_row));
7115: }
7117: if (pcbddc->dbg_flag) {
7118: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "--------------------------------------------------------------\n"));
7119: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Checking change of basis computation for subdomain %04d\n", PetscGlobalRank));
7120: }
7122: /* Now we loop on the constraints which need a change of basis */
7123: /*
7124: Change of basis matrix is evaluated similarly to the FIRST APPROACH in
7125: Klawonn and Widlund, Dual-primal FETI-DP methods for linear elasticity, (see Sect 6.2.1)
7127: Basic blocks of change of basis matrix T computed:
7129: - 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)
7131: | 1 0 ... 0 s_1/S |
7132: | 0 1 ... 0 s_2/S |
7133: | ... |
7134: | 0 ... 1 s_{n-1}/S |
7135: | -s_1/s_n ... -s_{n-1}/s_n s_n/S |
7137: with S = \sum_{i=1}^n s_i^2
7138: NOTE: in the above example, the primal dof is the last one of the edge in LOCAL ordering
7139: in the current implementation, the primal dof is the first one of the edge in GLOBAL ordering
7141: - QR decomposition of constraints otherwise
7142: */
7143: if (qr_needed && max_size_of_constraint) {
7144: /* space to store Q */
7145: PetscCall(PetscMalloc1(max_size_of_constraint * max_size_of_constraint, &qr_basis));
7146: /* array to store scaling factors for reflectors */
7147: PetscCall(PetscMalloc1(max_constraints, &qr_tau));
7148: /* first we issue queries for optimal work */
7149: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_M));
7150: PetscCall(PetscBLASIntCast(max_constraints, &Blas_N));
7151: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_LDA));
7152: lqr_work = -1;
7153: PetscCallBLAS("LAPACKgeqrf", LAPACKgeqrf_(&Blas_M, &Blas_N, qr_basis, &Blas_LDA, qr_tau, &lqr_work_t, &lqr_work, &lierr));
7154: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to GEQRF Lapack routine %" PetscBLASInt_FMT, lierr);
7155: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(lqr_work_t), &lqr_work));
7156: PetscCall(PetscMalloc1(lqr_work, &qr_work));
7157: lgqr_work = -1;
7158: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_M));
7159: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_N));
7160: PetscCall(PetscBLASIntCast(max_constraints, &Blas_K));
7161: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_LDA));
7162: if (Blas_K > Blas_M) Blas_K = Blas_M; /* adjust just for computing optimal work */
7163: PetscCallBLAS("LAPACKorgqr", LAPACKorgqr_(&Blas_M, &Blas_N, &Blas_K, qr_basis, &Blas_LDA, qr_tau, &lgqr_work_t, &lgqr_work, &lierr));
7164: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to ORGQR/UNGQR Lapack routine %" PetscBLASInt_FMT, lierr);
7165: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(lgqr_work_t), &lgqr_work));
7166: PetscCall(PetscMalloc1(lgqr_work, &gqr_work));
7167: /* array to store rhs and solution of triangular solver */
7168: PetscCall(PetscMalloc1(max_constraints * max_constraints, &trs_rhs));
7169: /* allocating workspace for check */
7170: if (pcbddc->dbg_flag) PetscCall(PetscMalloc1(max_size_of_constraint * (max_constraints + max_size_of_constraint), &dbg_work));
7171: }
7172: /* array to store whether a node is primal or not */
7173: PetscCall(PetscBTCreate(pcis->n_B, &is_primal));
7174: PetscCall(PetscMalloc1(total_primal_vertices, &aux_primal_numbering_B));
7175: PetscCall(ISGlobalToLocalMappingApply(pcis->BtoNmap, IS_GTOLM_DROP, total_primal_vertices, pcbddc->local_primal_ref_node, &i, aux_primal_numbering_B));
7176: 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);
7177: for (i = 0; i < total_primal_vertices; i++) PetscCall(PetscBTSet(is_primal, aux_primal_numbering_B[i]));
7178: PetscCall(PetscFree(aux_primal_numbering_B));
7180: /* loop on constraints and see whether or not they need a change of basis and compute it */
7181: for (total_counts = n_vertices; total_counts < total_counts_cc; total_counts++) {
7182: size_of_constraint = constraints_idxs_ptr[total_counts + 1] - constraints_idxs_ptr[total_counts];
7183: if (PetscBTLookup(change_basis, total_counts)) {
7184: /* get constraint info */
7185: primal_dofs = constraints_n[total_counts];
7186: dual_dofs = size_of_constraint - primal_dofs;
7188: 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));
7190: if (PetscBTLookup(qr_needed_idx, total_counts)) { /* QR */
7192: /* copy quadrature constraints for change of basis check */
7193: if (pcbddc->dbg_flag) PetscCall(PetscArraycpy(dbg_work, &constraints_data[constraints_data_ptr[total_counts]], size_of_constraint * primal_dofs));
7194: /* copy temporary constraints into larger work vector (in order to store all columns of Q) */
7195: PetscCall(PetscArraycpy(qr_basis, &constraints_data[constraints_data_ptr[total_counts]], size_of_constraint * primal_dofs));
7197: /* compute QR decomposition of constraints */
7198: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
7199: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_N));
7200: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7201: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7202: PetscCallBLAS("LAPACKgeqrf", LAPACKgeqrf_(&Blas_M, &Blas_N, qr_basis, &Blas_LDA, qr_tau, qr_work, &lqr_work, &lierr));
7203: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in GEQRF Lapack routine %" PetscBLASInt_FMT, lierr);
7204: PetscCall(PetscFPTrapPop());
7206: /* explicitly compute R^-T */
7207: PetscCall(PetscArrayzero(trs_rhs, primal_dofs * primal_dofs));
7208: for (j = 0; j < primal_dofs; j++) trs_rhs[j * (primal_dofs + 1)] = 1.0;
7209: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_N));
7210: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_NRHS));
7211: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7212: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_LDB));
7213: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7214: PetscCallBLAS("LAPACKtrtrs", LAPACKtrtrs_("U", "T", "N", &Blas_N, &Blas_NRHS, qr_basis, &Blas_LDA, trs_rhs, &Blas_LDB, &lierr));
7215: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in TRTRS Lapack routine %" PetscBLASInt_FMT, lierr);
7216: PetscCall(PetscFPTrapPop());
7218: /* explicitly compute all columns of Q (Q = [Q1 | Q2]) overwriting QR factorization in qr_basis */
7219: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
7220: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
7221: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_K));
7222: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7223: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7224: PetscCallBLAS("LAPACKorgqr", LAPACKorgqr_(&Blas_M, &Blas_N, &Blas_K, qr_basis, &Blas_LDA, qr_tau, gqr_work, &lgqr_work, &lierr));
7225: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in ORGQR/UNGQR Lapack routine %" PetscBLASInt_FMT, lierr);
7226: PetscCall(PetscFPTrapPop());
7228: /* first primal_dofs columns of Q need to be re-scaled in order to be unitary w.r.t constraints
7229: i.e. C_{pxn}*Q_{nxn} should be equal to [I_pxp | 0_pxd] (see check below)
7230: where n=size_of_constraint, p=primal_dofs, d=dual_dofs (n=p+d), I and 0 identity and null matrix resp. */
7231: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
7232: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_N));
7233: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_K));
7234: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7235: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_LDB));
7236: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDC));
7237: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7238: 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));
7239: PetscCall(PetscFPTrapPop());
7240: PetscCall(PetscArraycpy(qr_basis, &constraints_data[constraints_data_ptr[total_counts]], size_of_constraint * primal_dofs));
7242: /* insert values in change of basis matrix respecting global ordering of new primal dofs */
7243: start_rows = &constraints_idxs[constraints_idxs_ptr[total_counts]];
7244: /* insert cols for primal dofs */
7245: for (j = 0; j < primal_dofs; j++) {
7246: start_vals = &qr_basis[j * size_of_constraint];
7247: start_cols = &constraints_idxs[constraints_idxs_ptr[total_counts] + j];
7248: PetscCall(MatSetValues(localChangeOfBasisMatrix, size_of_constraint, start_rows, 1, start_cols, start_vals, INSERT_VALUES));
7249: }
7250: /* insert cols for dual dofs */
7251: for (j = 0, k = 0; j < dual_dofs; k++) {
7252: if (!PetscBTLookup(is_primal, constraints_idxs_B[constraints_idxs_ptr[total_counts] + k])) {
7253: start_vals = &qr_basis[(primal_dofs + j) * size_of_constraint];
7254: start_cols = &constraints_idxs[constraints_idxs_ptr[total_counts] + k];
7255: PetscCall(MatSetValues(localChangeOfBasisMatrix, size_of_constraint, start_rows, 1, start_cols, start_vals, INSERT_VALUES));
7256: j++;
7257: }
7258: }
7260: /* check change of basis */
7261: if (pcbddc->dbg_flag) {
7262: PetscInt ii, jj;
7263: PetscBool valid_qr = PETSC_TRUE;
7264: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_M));
7265: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
7266: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_K));
7267: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7268: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDB));
7269: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_LDC));
7270: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7271: 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));
7272: PetscCall(PetscFPTrapPop());
7273: for (jj = 0; jj < size_of_constraint; jj++) {
7274: for (ii = 0; ii < primal_dofs; ii++) {
7275: if (ii != jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii]) > 1.e-12) valid_qr = PETSC_FALSE;
7276: if (ii == jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii] - (PetscReal)1) > 1.e-12) valid_qr = PETSC_FALSE;
7277: }
7278: }
7279: if (!valid_qr) {
7280: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "\t-> wrong change of basis!\n"));
7281: for (jj = 0; jj < size_of_constraint; jj++) {
7282: for (ii = 0; ii < primal_dofs; ii++) {
7283: if (ii != jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii]) > 1.e-12) {
7284: 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])));
7285: }
7286: if (ii == jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii] - (PetscReal)1) > 1.e-12) {
7287: 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])));
7288: }
7289: }
7290: }
7291: } else {
7292: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "\t-> right change of basis!\n"));
7293: }
7294: }
7295: } else { /* simple transformation block */
7296: PetscInt row, col;
7297: PetscScalar val, norm;
7299: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
7300: PetscCallBLAS("BLASdot", norm = BLASdot_(&Blas_N, constraints_data + constraints_data_ptr[total_counts], &Blas_one, constraints_data + constraints_data_ptr[total_counts], &Blas_one));
7301: for (j = 0; j < size_of_constraint; j++) {
7302: PetscInt row_B = constraints_idxs_B[constraints_idxs_ptr[total_counts] + j];
7303: row = constraints_idxs[constraints_idxs_ptr[total_counts] + j];
7304: if (!PetscBTLookup(is_primal, row_B)) {
7305: col = constraints_idxs[constraints_idxs_ptr[total_counts]];
7306: PetscCall(MatSetValue(localChangeOfBasisMatrix, row, row, 1.0, INSERT_VALUES));
7307: PetscCall(MatSetValue(localChangeOfBasisMatrix, row, col, constraints_data[constraints_data_ptr[total_counts] + j] / norm, INSERT_VALUES));
7308: } else {
7309: for (k = 0; k < size_of_constraint; k++) {
7310: col = constraints_idxs[constraints_idxs_ptr[total_counts] + k];
7311: if (row != col) {
7312: val = -constraints_data[constraints_data_ptr[total_counts] + k] / constraints_data[constraints_data_ptr[total_counts]];
7313: } else {
7314: val = constraints_data[constraints_data_ptr[total_counts]] / norm;
7315: }
7316: PetscCall(MatSetValue(localChangeOfBasisMatrix, row, col, val, INSERT_VALUES));
7317: }
7318: }
7319: }
7320: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "\t-> using standard change of basis\n"));
7321: }
7322: } else {
7323: 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));
7324: }
7325: }
7327: /* free workspace */
7328: if (qr_needed) {
7329: if (pcbddc->dbg_flag) PetscCall(PetscFree(dbg_work));
7330: PetscCall(PetscFree(trs_rhs));
7331: PetscCall(PetscFree(qr_tau));
7332: PetscCall(PetscFree(qr_work));
7333: PetscCall(PetscFree(gqr_work));
7334: PetscCall(PetscFree(qr_basis));
7335: }
7336: PetscCall(PetscBTDestroy(&is_primal));
7337: PetscCall(MatAssemblyBegin(localChangeOfBasisMatrix, MAT_FINAL_ASSEMBLY));
7338: PetscCall(MatAssemblyEnd(localChangeOfBasisMatrix, MAT_FINAL_ASSEMBLY));
7340: /* assembling of global change of variable */
7341: if (!pcbddc->fake_change) {
7342: Mat tmat;
7344: PetscCall(VecGetSize(pcis->vec1_global, &global_size));
7345: PetscCall(VecGetLocalSize(pcis->vec1_global, &local_size));
7346: PetscCall(MatDuplicate(pc->pmat, MAT_DO_NOT_COPY_VALUES, &tmat));
7347: PetscCall(MatISSetLocalMat(tmat, localChangeOfBasisMatrix));
7348: PetscCall(MatAssemblyBegin(tmat, MAT_FINAL_ASSEMBLY));
7349: PetscCall(MatAssemblyEnd(tmat, MAT_FINAL_ASSEMBLY));
7350: PetscCall(MatConvert(tmat, MATAIJ, MAT_INITIAL_MATRIX, &pcbddc->ChangeOfBasisMatrix));
7351: PetscCall(MatDestroy(&tmat));
7352: PetscCall(VecSet(pcis->vec1_global, 0.0));
7353: PetscCall(VecSet(pcis->vec1_N, 1.0));
7354: PetscCall(VecScatterBegin(matis->rctx, pcis->vec1_N, pcis->vec1_global, ADD_VALUES, SCATTER_REVERSE));
7355: PetscCall(VecScatterEnd(matis->rctx, pcis->vec1_N, pcis->vec1_global, ADD_VALUES, SCATTER_REVERSE));
7356: PetscCall(VecReciprocal(pcis->vec1_global));
7357: PetscCall(MatDiagonalScale(pcbddc->ChangeOfBasisMatrix, pcis->vec1_global, NULL));
7359: /* check */
7360: if (pcbddc->dbg_flag) {
7361: PetscReal error;
7362: Vec x, x_change;
7364: PetscCall(VecDuplicate(pcis->vec1_global, &x));
7365: PetscCall(VecDuplicate(pcis->vec1_global, &x_change));
7366: PetscCall(VecSetRandom(x, NULL));
7367: PetscCall(VecCopy(x, pcis->vec1_global));
7368: PetscCall(VecScatterBegin(matis->rctx, x, pcis->vec1_N, INSERT_VALUES, SCATTER_FORWARD));
7369: PetscCall(VecScatterEnd(matis->rctx, x, pcis->vec1_N, INSERT_VALUES, SCATTER_FORWARD));
7370: PetscCall(MatMult(localChangeOfBasisMatrix, pcis->vec1_N, pcis->vec2_N));
7371: PetscCall(VecScatterBegin(matis->rctx, pcis->vec2_N, x, INSERT_VALUES, SCATTER_REVERSE));
7372: PetscCall(VecScatterEnd(matis->rctx, pcis->vec2_N, x, INSERT_VALUES, SCATTER_REVERSE));
7373: PetscCall(MatMult(pcbddc->ChangeOfBasisMatrix, pcis->vec1_global, x_change));
7374: PetscCall(VecAXPY(x, -1.0, x_change));
7375: PetscCall(VecNorm(x, NORM_INFINITY, &error));
7376: PetscCheck(error <= PETSC_SMALL, PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "Error global vs local change on N: %1.6e", (double)error);
7377: PetscCall(VecDestroy(&x));
7378: PetscCall(VecDestroy(&x_change));
7379: }
7380: /* adapt sub_schurs computed (if any) */
7381: if (pcbddc->use_deluxe_scaling) {
7382: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
7384: 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");
7385: if (sub_schurs && sub_schurs->S_Ej_all) {
7386: Mat S_new, tmat;
7387: IS is_all_N, is_V_Sall = NULL;
7389: PetscCall(ISLocalToGlobalMappingApplyIS(pcis->BtoNmap, sub_schurs->is_Ej_all, &is_all_N));
7390: PetscCall(MatCreateSubMatrix(localChangeOfBasisMatrix, is_all_N, is_all_N, MAT_INITIAL_MATRIX, &tmat));
7391: if (pcbddc->deluxe_zerorows) {
7392: ISLocalToGlobalMapping NtoSall;
7393: IS is_V;
7394: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, pcbddc->n_vertices, pcbddc->local_primal_ref_node, PETSC_COPY_VALUES, &is_V));
7395: PetscCall(ISLocalToGlobalMappingCreateIS(is_all_N, &NtoSall));
7396: PetscCall(ISGlobalToLocalMappingApplyIS(NtoSall, IS_GTOLM_DROP, is_V, &is_V_Sall));
7397: PetscCall(ISLocalToGlobalMappingDestroy(&NtoSall));
7398: PetscCall(ISDestroy(&is_V));
7399: }
7400: PetscCall(ISDestroy(&is_all_N));
7401: PetscCall(MatPtAP(sub_schurs->S_Ej_all, tmat, MAT_INITIAL_MATRIX, 1.0, &S_new));
7402: PetscCall(MatDestroy(&sub_schurs->S_Ej_all));
7403: PetscCall(PetscObjectReference((PetscObject)S_new));
7404: if (pcbddc->deluxe_zerorows) {
7405: const PetscScalar *array;
7406: const PetscInt *idxs_V, *idxs_all;
7407: PetscInt i, n_V;
7409: PetscCall(MatZeroRowsColumnsIS(S_new, is_V_Sall, 1., NULL, NULL));
7410: PetscCall(ISGetLocalSize(is_V_Sall, &n_V));
7411: PetscCall(ISGetIndices(is_V_Sall, &idxs_V));
7412: PetscCall(ISGetIndices(sub_schurs->is_Ej_all, &idxs_all));
7413: PetscCall(VecGetArrayRead(pcis->D, &array));
7414: for (i = 0; i < n_V; i++) {
7415: PetscScalar val;
7416: PetscInt idx;
7418: idx = idxs_V[i];
7419: val = array[idxs_all[idxs_V[i]]];
7420: PetscCall(MatSetValue(S_new, idx, idx, val, INSERT_VALUES));
7421: }
7422: PetscCall(MatAssemblyBegin(S_new, MAT_FINAL_ASSEMBLY));
7423: PetscCall(MatAssemblyEnd(S_new, MAT_FINAL_ASSEMBLY));
7424: PetscCall(VecRestoreArrayRead(pcis->D, &array));
7425: PetscCall(ISRestoreIndices(sub_schurs->is_Ej_all, &idxs_all));
7426: PetscCall(ISRestoreIndices(is_V_Sall, &idxs_V));
7427: }
7428: sub_schurs->S_Ej_all = S_new;
7429: PetscCall(MatDestroy(&S_new));
7430: if (sub_schurs->sum_S_Ej_all) {
7431: PetscCall(MatPtAP(sub_schurs->sum_S_Ej_all, tmat, MAT_INITIAL_MATRIX, 1.0, &S_new));
7432: PetscCall(MatDestroy(&sub_schurs->sum_S_Ej_all));
7433: PetscCall(PetscObjectReference((PetscObject)S_new));
7434: if (pcbddc->deluxe_zerorows) PetscCall(MatZeroRowsColumnsIS(S_new, is_V_Sall, 1., NULL, NULL));
7435: sub_schurs->sum_S_Ej_all = S_new;
7436: PetscCall(MatDestroy(&S_new));
7437: }
7438: PetscCall(ISDestroy(&is_V_Sall));
7439: PetscCall(MatDestroy(&tmat));
7440: }
7441: /* destroy any change of basis context in sub_schurs */
7442: if (sub_schurs && sub_schurs->change) {
7443: PetscInt i;
7445: for (i = 0; i < sub_schurs->n_subs; i++) PetscCall(KSPDestroy(&sub_schurs->change[i]));
7446: PetscCall(PetscFree(sub_schurs->change));
7447: }
7448: }
7449: if (pcbddc->switch_static) { /* need to save the local change */
7450: pcbddc->switch_static_change = localChangeOfBasisMatrix;
7451: } else {
7452: PetscCall(MatDestroy(&localChangeOfBasisMatrix));
7453: }
7454: /* determine if any process has changed the pressures locally */
7455: pcbddc->change_interior = pcbddc->benign_have_null;
7456: } else { /* fake change (get back change of basis into ConstraintMatrix and info on qr) */
7457: PetscCall(MatDestroy(&pcbddc->ConstraintMatrix));
7458: pcbddc->ConstraintMatrix = localChangeOfBasisMatrix;
7459: pcbddc->use_qr_single = qr_needed;
7460: }
7461: } else if (pcbddc->user_ChangeOfBasisMatrix || pcbddc->benign_saddle_point) {
7462: if (!pcbddc->benign_have_null && pcbddc->user_ChangeOfBasisMatrix) {
7463: PetscCall(PetscObjectReference((PetscObject)pcbddc->user_ChangeOfBasisMatrix));
7464: pcbddc->ChangeOfBasisMatrix = pcbddc->user_ChangeOfBasisMatrix;
7465: } else {
7466: Mat benign_global = NULL;
7467: if (pcbddc->benign_have_null) {
7468: Mat M;
7470: pcbddc->change_interior = PETSC_TRUE;
7471: PetscCall(VecCopy(matis->counter, pcis->vec1_N));
7472: PetscCall(VecReciprocal(pcis->vec1_N));
7473: PetscCall(MatDuplicate(pc->pmat, MAT_DO_NOT_COPY_VALUES, &benign_global));
7474: if (pcbddc->benign_change) {
7475: PetscCall(MatDuplicate(pcbddc->benign_change, MAT_COPY_VALUES, &M));
7476: PetscCall(MatDiagonalScale(M, pcis->vec1_N, NULL));
7477: } else {
7478: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, pcis->n, pcis->n, 1, NULL, &M));
7479: PetscCall(MatDiagonalSet(M, pcis->vec1_N, INSERT_VALUES));
7480: }
7481: PetscCall(MatISSetLocalMat(benign_global, M));
7482: PetscCall(MatDestroy(&M));
7483: PetscCall(MatAssemblyBegin(benign_global, MAT_FINAL_ASSEMBLY));
7484: PetscCall(MatAssemblyEnd(benign_global, MAT_FINAL_ASSEMBLY));
7485: }
7486: if (pcbddc->user_ChangeOfBasisMatrix) {
7487: PetscCall(MatMatMult(pcbddc->user_ChangeOfBasisMatrix, benign_global, MAT_INITIAL_MATRIX, PETSC_DETERMINE, &pcbddc->ChangeOfBasisMatrix));
7488: PetscCall(MatDestroy(&benign_global));
7489: } else if (pcbddc->benign_have_null) {
7490: pcbddc->ChangeOfBasisMatrix = benign_global;
7491: }
7492: }
7493: if (pcbddc->switch_static && pcbddc->ChangeOfBasisMatrix) { /* need to save the local change */
7494: IS is_global;
7495: const PetscInt *gidxs;
7497: PetscCall(ISLocalToGlobalMappingGetIndices(matis->rmapping, &gidxs));
7498: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), pcis->n, gidxs, PETSC_COPY_VALUES, &is_global));
7499: PetscCall(ISLocalToGlobalMappingRestoreIndices(matis->rmapping, &gidxs));
7500: PetscCall(MatCreateSubMatrixUnsorted(pcbddc->ChangeOfBasisMatrix, is_global, is_global, &pcbddc->switch_static_change));
7501: PetscCall(ISDestroy(&is_global));
7502: }
7503: }
7504: if (!pcbddc->fake_change && pcbddc->ChangeOfBasisMatrix && !pcbddc->work_change) PetscCall(VecDuplicate(pcis->vec1_global, &pcbddc->work_change));
7506: if (!pcbddc->fake_change) {
7507: /* add pressure dofs to set of primal nodes for numbering purposes */
7508: for (i = 0; i < pcbddc->benign_n; i++) {
7509: pcbddc->local_primal_ref_node[pcbddc->local_primal_size_cc] = pcbddc->benign_p0_lidx[i];
7510: pcbddc->primal_indices_local_idxs[pcbddc->local_primal_size] = pcbddc->benign_p0_lidx[i];
7511: pcbddc->local_primal_ref_mult[pcbddc->local_primal_size_cc] = 1;
7512: pcbddc->local_primal_size_cc++;
7513: pcbddc->local_primal_size++;
7514: }
7516: /* check if a new primal space has been introduced (also take into account benign trick) */
7517: pcbddc->new_primal_space_local = PETSC_TRUE;
7518: if (olocal_primal_size == pcbddc->local_primal_size) {
7519: PetscCall(PetscArraycmp(pcbddc->local_primal_ref_node, olocal_primal_ref_node, olocal_primal_size_cc, &pcbddc->new_primal_space_local));
7520: pcbddc->new_primal_space_local = (PetscBool)(!pcbddc->new_primal_space_local);
7521: if (!pcbddc->new_primal_space_local) {
7522: PetscCall(PetscArraycmp(pcbddc->local_primal_ref_mult, olocal_primal_ref_mult, olocal_primal_size_cc, &pcbddc->new_primal_space_local));
7523: pcbddc->new_primal_space_local = (PetscBool)(!pcbddc->new_primal_space_local);
7524: }
7525: }
7526: /* new_primal_space will be used for numbering of coarse dofs, so it should be the same across all subdomains */
7527: PetscCallMPI(MPIU_Allreduce(&pcbddc->new_primal_space_local, &pcbddc->new_primal_space, 1, MPI_C_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
7528: }
7529: PetscCall(PetscFree2(olocal_primal_ref_node, olocal_primal_ref_mult));
7531: /* flush dbg viewer */
7532: if (pcbddc->dbg_flag) PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
7534: /* free workspace */
7535: PetscCall(PetscBTDestroy(&qr_needed_idx));
7536: PetscCall(PetscBTDestroy(&change_basis));
7537: if (!pcbddc->adaptive_selection) {
7538: PetscCall(PetscFree3(constraints_idxs_ptr, constraints_data_ptr, constraints_n));
7539: PetscCall(PetscFree3(constraints_data, constraints_idxs, constraints_idxs_B));
7540: } else {
7541: PetscCall(PetscFree5(pcbddc->adaptive_constraints_n, pcbddc->adaptive_constraints_idxs_ptr, pcbddc->adaptive_constraints_data_ptr, pcbddc->adaptive_constraints_idxs, pcbddc->adaptive_constraints_data));
7542: PetscCall(PetscFree(constraints_n));
7543: PetscCall(PetscFree(constraints_idxs_B));
7544: }
7545: PetscFunctionReturn(PETSC_SUCCESS);
7546: }
7548: PetscErrorCode PCBDDCAnalyzeInterface(PC pc)
7549: {
7550: ISLocalToGlobalMapping map;
7551: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
7552: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
7553: PetscInt i, N;
7554: PetscBool rcsr = PETSC_FALSE;
7556: PetscFunctionBegin;
7557: if (pcbddc->recompute_topography) {
7558: pcbddc->graphanalyzed = PETSC_FALSE;
7559: /* Reset previously computed graph */
7560: PetscCall(PCBDDCGraphReset(pcbddc->mat_graph));
7561: /* Init local Graph struct */
7562: PetscCall(MatGetSize(pc->pmat, &N, NULL));
7563: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &map, NULL));
7564: PetscCall(PCBDDCGraphInit(pcbddc->mat_graph, map, N, pcbddc->graphmaxcount));
7566: if (pcbddc->user_primal_vertices_local && !pcbddc->user_primal_vertices) PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LOR, &pcbddc->user_primal_vertices_local));
7567: /* Check validity of the csr graph passed in by the user */
7568: 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,
7569: pcbddc->mat_graph->nvtxs);
7571: /* Set default CSR adjacency of local dofs if not provided by the user with PCBDDCSetLocalAdjacencyGraph */
7572: if (!pcbddc->mat_graph->xadj && pcbddc->use_local_adj) {
7573: PetscInt *xadj, *adjncy;
7574: PetscInt nvtxs;
7575: PetscBool flg_row;
7576: Mat A;
7578: PetscCall(PetscObjectReference((PetscObject)matis->A));
7579: A = matis->A;
7580: for (PetscInt i = 0; i < pcbddc->local_adj_square; i++) {
7581: Mat AtA;
7583: PetscCall(MatProductCreate(A, A, NULL, &AtA));
7584: PetscCall(MatSetOptionsPrefix(AtA, "pc_bddc_graph_"));
7585: PetscCall(MatProductSetType(AtA, MATPRODUCT_AtB));
7586: PetscCall(MatProductSetFromOptions(AtA));
7587: PetscCall(MatProductSymbolic(AtA));
7588: PetscCall(MatProductClear(AtA));
7589: /* we only need the sparsity, cheat and tell PETSc the matrix has been assembled */
7590: AtA->assembled = PETSC_TRUE;
7591: PetscCall(MatDestroy(&A));
7592: A = AtA;
7593: }
7594: PetscCall(MatGetRowIJ(A, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
7595: if (flg_row) {
7596: PetscCall(PCBDDCSetLocalAdjacencyGraph(pc, nvtxs, xadj, adjncy, PETSC_COPY_VALUES));
7597: pcbddc->computed_rowadj = PETSC_TRUE;
7598: PetscCall(MatRestoreRowIJ(A, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
7599: rcsr = PETSC_TRUE;
7600: }
7601: PetscCall(MatDestroy(&A));
7602: }
7603: if (pcbddc->dbg_flag) PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
7605: if (pcbddc->mat_graph->cdim && !pcbddc->mat_graph->cloc) {
7606: PetscReal *lcoords;
7607: PetscInt n;
7608: MPI_Datatype dimrealtype;
7609: PetscMPIInt cdimi;
7611: /* TODO: support for blocked */
7612: 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);
7613: PetscCall(MatGetLocalSize(matis->A, &n, NULL));
7614: PetscCall(PetscMalloc1(pcbddc->mat_graph->cdim * n, &lcoords));
7615: PetscCall(PetscMPIIntCast(pcbddc->mat_graph->cdim, &cdimi));
7616: PetscCallMPI(MPI_Type_contiguous(cdimi, MPIU_REAL, &dimrealtype));
7617: PetscCallMPI(MPI_Type_commit(&dimrealtype));
7618: PetscCall(PetscSFBcastBegin(matis->sf, dimrealtype, pcbddc->mat_graph->coords, lcoords, MPI_REPLACE));
7619: PetscCall(PetscSFBcastEnd(matis->sf, dimrealtype, pcbddc->mat_graph->coords, lcoords, MPI_REPLACE));
7620: PetscCallMPI(MPI_Type_free(&dimrealtype));
7621: PetscCall(PetscFree(pcbddc->mat_graph->coords));
7623: pcbddc->mat_graph->coords = lcoords;
7624: pcbddc->mat_graph->cloc = PETSC_TRUE;
7625: pcbddc->mat_graph->cnloc = n;
7626: }
7627: 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,
7628: pcbddc->mat_graph->nvtxs);
7629: pcbddc->mat_graph->active_coords = (PetscBool)(pcbddc->corner_selection && pcbddc->mat_graph->cdim && !pcbddc->corner_selected);
7631: /* attach info on disconnected subdomains if present */
7632: if (pcbddc->n_local_subs) {
7633: PetscInt *local_subs, n, totn;
7635: PetscCall(MatGetLocalSize(matis->A, &n, NULL));
7636: PetscCall(PetscMalloc1(n, &local_subs));
7637: for (i = 0; i < n; i++) local_subs[i] = pcbddc->n_local_subs;
7638: for (i = 0; i < pcbddc->n_local_subs; i++) {
7639: const PetscInt *idxs;
7640: PetscInt nl, j;
7642: PetscCall(ISGetLocalSize(pcbddc->local_subs[i], &nl));
7643: PetscCall(ISGetIndices(pcbddc->local_subs[i], &idxs));
7644: for (j = 0; j < nl; j++) local_subs[idxs[j]] = i;
7645: PetscCall(ISRestoreIndices(pcbddc->local_subs[i], &idxs));
7646: }
7647: for (i = 0, totn = 0; i < n; i++) totn = PetscMax(totn, local_subs[i]);
7648: pcbddc->mat_graph->n_local_subs = totn + 1;
7649: pcbddc->mat_graph->local_subs = local_subs;
7650: }
7652: /* Setup of Graph */
7653: PetscCall(PCBDDCGraphSetUp(pcbddc->mat_graph, pcbddc->vertex_size, pcbddc->NeumannBoundariesLocal, pcbddc->DirichletBoundariesLocal, pcbddc->n_ISForDofsLocal, pcbddc->ISForDofsLocal, pcbddc->user_primal_vertices_local));
7654: }
7656: if (!pcbddc->graphanalyzed) {
7657: /* Graph's connected components analysis */
7658: PetscCall(PCBDDCGraphComputeConnectedComponents(pcbddc->mat_graph));
7659: pcbddc->graphanalyzed = PETSC_TRUE;
7660: pcbddc->corner_selected = pcbddc->corner_selection;
7661: }
7662: if (rcsr) pcbddc->mat_graph->nvtxs_csr = 0;
7663: PetscFunctionReturn(PETSC_SUCCESS);
7664: }
7666: PetscErrorCode PCBDDCOrthonormalizeVecs(PetscInt *nio, Vec vecs[])
7667: {
7668: PetscInt i, j, n;
7669: PetscScalar *alphas;
7670: PetscReal norm, *onorms;
7672: PetscFunctionBegin;
7673: n = *nio;
7674: if (!n) PetscFunctionReturn(PETSC_SUCCESS);
7675: PetscCall(PetscMalloc2(n, &alphas, n, &onorms));
7676: PetscCall(VecNormalize(vecs[0], &norm));
7677: if (norm < PETSC_SMALL) {
7678: onorms[0] = 0.0;
7679: PetscCall(VecSet(vecs[0], 0.0));
7680: } else {
7681: onorms[0] = norm;
7682: }
7684: for (i = 1; i < n; i++) {
7685: PetscCall(VecMDot(vecs[i], i, vecs, alphas));
7686: for (j = 0; j < i; j++) alphas[j] = PetscConj(-alphas[j]);
7687: PetscCall(VecMAXPY(vecs[i], i, alphas, vecs));
7688: PetscCall(VecNormalize(vecs[i], &norm));
7689: if (norm < PETSC_SMALL) {
7690: onorms[i] = 0.0;
7691: PetscCall(VecSet(vecs[i], 0.0));
7692: } else {
7693: onorms[i] = norm;
7694: }
7695: }
7696: /* push nonzero vectors at the beginning */
7697: for (i = 0; i < n; i++) {
7698: if (onorms[i] == 0.0) {
7699: for (j = i + 1; j < n; j++) {
7700: if (onorms[j] != 0.0) {
7701: PetscCall(VecCopy(vecs[j], vecs[i]));
7702: onorms[i] = onorms[j];
7703: onorms[j] = 0.0;
7704: break;
7705: }
7706: }
7707: }
7708: }
7709: for (i = 0, *nio = 0; i < n; i++) *nio += onorms[i] != 0.0 ? 1 : 0;
7710: PetscCall(PetscFree2(alphas, onorms));
7711: PetscFunctionReturn(PETSC_SUCCESS);
7712: }
7714: static PetscErrorCode PCBDDCMatISGetSubassemblingPattern(Mat mat, PetscInt *n_subdomains, PetscInt redprocs, IS *is_sends, PetscBool *have_void)
7715: {
7716: ISLocalToGlobalMapping mapping;
7717: Mat A;
7718: PetscInt n_neighs, *neighs, *n_shared, **shared;
7719: PetscMPIInt size, rank, color;
7720: PetscInt *xadj, *adjncy;
7721: PetscInt *adjncy_wgt, *v_wgt, *ranks_send_to_idx;
7722: PetscInt im_active, active_procs, N, n, i, j, threshold = 2;
7723: PetscInt void_procs, *procs_candidates = NULL;
7724: PetscInt xadj_count, *count;
7725: PetscBool ismatis, use_vwgt = PETSC_FALSE;
7726: PetscSubcomm psubcomm;
7727: MPI_Comm subcomm;
7729: PetscFunctionBegin;
7731: PetscCall(PetscObjectTypeCompare((PetscObject)mat, MATIS, &ismatis));
7732: PetscCheck(ismatis, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot use %s on a matrix object which is not of type MATIS", PETSC_FUNCTION_NAME);
7735: PetscCheck(*n_subdomains > 0, PetscObjectComm((PetscObject)mat), PETSC_ERR_ARG_WRONG, "Invalid number of subdomains requested %" PetscInt_FMT, *n_subdomains);
7737: if (have_void) *have_void = PETSC_FALSE;
7738: PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)mat), &size));
7739: PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)mat), &rank));
7740: PetscCall(MatISGetLocalMat(mat, &A));
7741: PetscCall(MatGetLocalSize(A, &n, NULL));
7742: im_active = !!n;
7743: PetscCallMPI(MPIU_Allreduce(&im_active, &active_procs, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)mat)));
7744: void_procs = size - active_procs;
7745: /* get ranks of non-active processes in mat communicator */
7746: if (void_procs) {
7747: PetscInt ncand;
7749: if (have_void) *have_void = PETSC_TRUE;
7750: PetscCall(PetscMalloc1(size, &procs_candidates));
7751: PetscCallMPI(MPI_Allgather(&im_active, 1, MPIU_INT, procs_candidates, 1, MPIU_INT, PetscObjectComm((PetscObject)mat)));
7752: for (i = 0, ncand = 0; i < size; i++) {
7753: if (!procs_candidates[i]) procs_candidates[ncand++] = i;
7754: }
7755: /* force n_subdomains to be not greater that the number of non-active processes */
7756: *n_subdomains = PetscMin(void_procs, *n_subdomains);
7757: }
7759: /* number of subdomains requested greater than active processes or matrix size -> just shift the matrix
7760: number of subdomains requested 1 -> send to rank-0 or first candidate in voids */
7761: PetscCall(MatGetSize(mat, &N, NULL));
7762: if (active_procs < *n_subdomains || *n_subdomains == 1 || N <= *n_subdomains) {
7763: PetscInt issize, isidx, dest;
7764: PetscBool default_sub;
7766: if (*n_subdomains == 1) dest = 0;
7767: else dest = rank;
7768: if (im_active) {
7769: issize = 1;
7770: if (procs_candidates) { /* shift the pattern on non-active candidates (if any) */
7771: isidx = procs_candidates[dest];
7772: } else {
7773: isidx = dest;
7774: }
7775: } else {
7776: issize = 0;
7777: isidx = rank;
7778: }
7779: if (*n_subdomains != 1) *n_subdomains = active_procs;
7780: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)mat), issize, &isidx, PETSC_COPY_VALUES, is_sends));
7781: default_sub = (PetscBool)(isidx == rank);
7782: PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, &default_sub, 1, MPI_C_BOOL, MPI_LAND, PetscObjectComm((PetscObject)mat)));
7783: if (default_sub) PetscCall(PetscObjectSetName((PetscObject)*is_sends, "default subassembling"));
7784: PetscCall(PetscFree(procs_candidates));
7785: PetscFunctionReturn(PETSC_SUCCESS);
7786: }
7787: PetscCall(PetscOptionsGetBool(NULL, ((PetscObject)A)->prefix, "-mat_is_partitioning_use_vwgt", &use_vwgt, NULL));
7788: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)A)->prefix, "-mat_is_partitioning_threshold", &threshold, NULL));
7789: threshold = PetscMax(threshold, 2);
7791: /* Get info on mapping */
7792: PetscCall(MatISGetLocalToGlobalMapping(mat, &mapping, NULL));
7793: PetscCall(ISLocalToGlobalMappingGetInfo(mapping, &n_neighs, &neighs, &n_shared, &shared));
7795: /* build local CSR graph of subdomains' connectivity */
7796: PetscCall(PetscMalloc1(2, &xadj));
7797: xadj[0] = 0;
7798: xadj[1] = PetscMax(n_neighs - 1, 0);
7799: PetscCall(PetscMalloc1(xadj[1], &adjncy));
7800: PetscCall(PetscMalloc1(xadj[1], &adjncy_wgt));
7801: PetscCall(PetscCalloc1(n, &count));
7802: for (i = 1; i < n_neighs; i++)
7803: for (j = 0; j < n_shared[i]; j++) count[shared[i][j]] += 1;
7805: xadj_count = 0;
7806: for (i = 1; i < n_neighs; i++) {
7807: for (j = 0; j < n_shared[i]; j++) {
7808: if (count[shared[i][j]] < threshold) {
7809: adjncy[xadj_count] = neighs[i];
7810: adjncy_wgt[xadj_count] = n_shared[i];
7811: xadj_count++;
7812: break;
7813: }
7814: }
7815: }
7816: xadj[1] = xadj_count;
7817: PetscCall(PetscFree(count));
7818: PetscCall(ISLocalToGlobalMappingRestoreInfo(mapping, &n_neighs, &neighs, &n_shared, &shared));
7819: PetscCall(PetscSortIntWithArray(xadj[1], adjncy, adjncy_wgt));
7821: PetscCall(PetscMalloc1(1, &ranks_send_to_idx));
7823: /* Restrict work on active processes only */
7824: PetscCall(PetscMPIIntCast(im_active, &color));
7825: if (void_procs) {
7826: PetscCall(PetscSubcommCreate(PetscObjectComm((PetscObject)mat), &psubcomm));
7827: PetscCall(PetscSubcommSetNumber(psubcomm, 2)); /* 2 groups, active process and not active processes */
7828: PetscCall(PetscSubcommSetTypeGeneral(psubcomm, color, rank));
7829: subcomm = PetscSubcommChild(psubcomm);
7830: } else {
7831: psubcomm = NULL;
7832: subcomm = PetscObjectComm((PetscObject)mat);
7833: }
7835: v_wgt = NULL;
7836: if (!color) {
7837: PetscCall(PetscFree(xadj));
7838: PetscCall(PetscFree(adjncy));
7839: PetscCall(PetscFree(adjncy_wgt));
7840: } else {
7841: Mat subdomain_adj;
7842: IS new_ranks, new_ranks_contig;
7843: MatPartitioning partitioner;
7844: PetscInt rstart, rend;
7845: PetscMPIInt irstart = 0, irend = 0;
7846: PetscInt *is_indices, *oldranks;
7847: PetscMPIInt size;
7848: PetscBool aggregate;
7850: PetscCallMPI(MPI_Comm_size(subcomm, &size));
7851: if (void_procs) {
7852: PetscInt prank = rank;
7853: PetscCall(PetscMalloc1(size, &oldranks));
7854: PetscCallMPI(MPI_Allgather(&prank, 1, MPIU_INT, oldranks, 1, MPIU_INT, subcomm));
7855: for (i = 0; i < xadj[1]; i++) PetscCall(PetscFindInt(adjncy[i], size, oldranks, &adjncy[i]));
7856: PetscCall(PetscSortIntWithArray(xadj[1], adjncy, adjncy_wgt));
7857: } else {
7858: oldranks = NULL;
7859: }
7860: aggregate = ((redprocs > 0 && redprocs < size) ? PETSC_TRUE : PETSC_FALSE);
7861: if (aggregate) { /* TODO: all this part could be made more efficient */
7862: PetscInt lrows, row, ncols, *cols;
7863: PetscMPIInt nrank;
7864: PetscScalar *vals;
7866: PetscCallMPI(MPI_Comm_rank(subcomm, &nrank));
7867: lrows = 0;
7868: if (nrank < redprocs) {
7869: lrows = size / redprocs;
7870: if (nrank < size % redprocs) lrows++;
7871: }
7872: PetscCall(MatCreateAIJ(subcomm, lrows, lrows, size, size, 50, NULL, 50, NULL, &subdomain_adj));
7873: PetscCall(MatGetOwnershipRange(subdomain_adj, &rstart, &rend));
7874: PetscCall(PetscMPIIntCast(rstart, &irstart));
7875: PetscCall(PetscMPIIntCast(rend, &irend));
7876: PetscCall(MatSetOption(subdomain_adj, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_FALSE));
7877: PetscCall(MatSetOption(subdomain_adj, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));
7878: row = nrank;
7879: ncols = xadj[1] - xadj[0];
7880: cols = adjncy;
7881: PetscCall(PetscMalloc1(ncols, &vals));
7882: for (i = 0; i < ncols; i++) vals[i] = adjncy_wgt[i];
7883: PetscCall(MatSetValues(subdomain_adj, 1, &row, ncols, cols, vals, INSERT_VALUES));
7884: PetscCall(MatAssemblyBegin(subdomain_adj, MAT_FINAL_ASSEMBLY));
7885: PetscCall(MatAssemblyEnd(subdomain_adj, MAT_FINAL_ASSEMBLY));
7886: PetscCall(PetscFree(xadj));
7887: PetscCall(PetscFree(adjncy));
7888: PetscCall(PetscFree(adjncy_wgt));
7889: PetscCall(PetscFree(vals));
7890: if (use_vwgt) {
7891: Vec v;
7892: const PetscScalar *array;
7893: PetscInt nl;
7895: PetscCall(MatCreateVecs(subdomain_adj, &v, NULL));
7896: PetscCall(VecSetValue(v, row, (PetscScalar)n, INSERT_VALUES));
7897: PetscCall(VecAssemblyBegin(v));
7898: PetscCall(VecAssemblyEnd(v));
7899: PetscCall(VecGetLocalSize(v, &nl));
7900: PetscCall(VecGetArrayRead(v, &array));
7901: PetscCall(PetscMalloc1(nl, &v_wgt));
7902: for (i = 0; i < nl; i++) v_wgt[i] = (PetscInt)PetscRealPart(array[i]);
7903: PetscCall(VecRestoreArrayRead(v, &array));
7904: PetscCall(VecDestroy(&v));
7905: }
7906: } else {
7907: PetscCall(MatCreateMPIAdj(subcomm, 1, size, xadj, adjncy, adjncy_wgt, &subdomain_adj));
7908: if (use_vwgt) {
7909: PetscCall(PetscMalloc1(1, &v_wgt));
7910: v_wgt[0] = n;
7911: }
7912: }
7913: /* PetscCall(MatView(subdomain_adj,0)); */
7915: /* Partition */
7916: PetscCall(MatPartitioningCreate(subcomm, &partitioner));
7917: #if defined(PETSC_HAVE_PTSCOTCH)
7918: PetscCall(MatPartitioningSetType(partitioner, MATPARTITIONINGPTSCOTCH));
7919: #elif defined(PETSC_HAVE_PARMETIS)
7920: PetscCall(MatPartitioningSetType(partitioner, MATPARTITIONINGPARMETIS));
7921: #else
7922: PetscCall(MatPartitioningSetType(partitioner, MATPARTITIONINGAVERAGE));
7923: #endif
7924: PetscCall(MatPartitioningSetAdjacency(partitioner, subdomain_adj));
7925: if (v_wgt) PetscCall(MatPartitioningSetVertexWeights(partitioner, v_wgt));
7926: *n_subdomains = PetscMin(size, *n_subdomains);
7927: PetscCall(MatPartitioningSetNParts(partitioner, *n_subdomains));
7928: PetscCall(MatPartitioningSetFromOptions(partitioner));
7929: PetscCall(MatPartitioningApply(partitioner, &new_ranks));
7930: /* PetscCall(MatPartitioningView(partitioner,0)); */
7932: /* renumber new_ranks to avoid "holes" in new set of processors */
7933: PetscCall(ISRenumber(new_ranks, NULL, NULL, &new_ranks_contig));
7934: PetscCall(ISDestroy(&new_ranks));
7935: PetscCall(ISGetIndices(new_ranks_contig, (const PetscInt **)&is_indices));
7936: if (!aggregate) {
7937: if (procs_candidates) { /* shift the pattern on non-active candidates (if any) */
7938: PetscAssert(oldranks, PETSC_COMM_SELF, PETSC_ERR_PLIB, "This should not happen");
7939: ranks_send_to_idx[0] = procs_candidates[oldranks[is_indices[0]]];
7940: } else if (oldranks) {
7941: ranks_send_to_idx[0] = oldranks[is_indices[0]];
7942: } else {
7943: ranks_send_to_idx[0] = is_indices[0];
7944: }
7945: } else {
7946: PetscInt idx = 0;
7947: PetscMPIInt tag;
7948: MPI_Request *reqs;
7950: PetscCall(PetscObjectGetNewTag((PetscObject)subdomain_adj, &tag));
7951: PetscCall(PetscMalloc1(rend - rstart, &reqs));
7952: for (PetscMPIInt i = irstart; i < irend; i++) PetscCallMPI(MPIU_Isend(is_indices + i - rstart, 1, MPIU_INT, i, tag, subcomm, &reqs[i - rstart]));
7953: PetscCallMPI(MPIU_Recv(&idx, 1, MPIU_INT, MPI_ANY_SOURCE, tag, subcomm, MPI_STATUS_IGNORE));
7954: PetscCallMPI(MPI_Waitall(irend - irstart, reqs, MPI_STATUSES_IGNORE));
7955: PetscCall(PetscFree(reqs));
7956: if (procs_candidates) { /* shift the pattern on non-active candidates (if any) */
7957: PetscAssert(oldranks, PETSC_COMM_SELF, PETSC_ERR_PLIB, "This should not happen");
7958: ranks_send_to_idx[0] = procs_candidates[oldranks[idx]];
7959: } else if (oldranks) {
7960: ranks_send_to_idx[0] = oldranks[idx];
7961: } else {
7962: ranks_send_to_idx[0] = idx;
7963: }
7964: }
7965: PetscCall(ISRestoreIndices(new_ranks_contig, (const PetscInt **)&is_indices));
7966: /* clean up */
7967: PetscCall(PetscFree(oldranks));
7968: PetscCall(ISDestroy(&new_ranks_contig));
7969: PetscCall(MatDestroy(&subdomain_adj));
7970: PetscCall(MatPartitioningDestroy(&partitioner));
7971: }
7972: PetscCall(PetscSubcommDestroy(&psubcomm));
7973: PetscCall(PetscFree(procs_candidates));
7975: /* assemble parallel IS for sends */
7976: i = 1;
7977: if (!color) i = 0;
7978: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)mat), i, ranks_send_to_idx, PETSC_OWN_POINTER, is_sends));
7979: PetscFunctionReturn(PETSC_SUCCESS);
7980: }
7982: typedef enum {
7983: MATDENSE_PRIVATE = 0,
7984: MATAIJ_PRIVATE,
7985: MATBAIJ_PRIVATE,
7986: MATSBAIJ_PRIVATE
7987: } MatTypePrivate;
7989: 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[])
7990: {
7991: Mat local_mat;
7992: IS is_sends_internal;
7993: PetscInt rows, cols, new_local_rows;
7994: PetscInt i, bs, buf_size_idxs, buf_size_idxs_is, buf_size_vals, buf_size_vecs;
7995: PetscBool ismatis, isdense, newisdense, destroy_mat;
7996: ISLocalToGlobalMapping l2gmap;
7997: PetscInt *l2gmap_indices;
7998: const PetscInt *is_indices;
7999: MatType new_local_type;
8000: /* buffers */
8001: PetscInt *ptr_idxs, *send_buffer_idxs, *recv_buffer_idxs;
8002: PetscInt *ptr_idxs_is, *send_buffer_idxs_is, *recv_buffer_idxs_is;
8003: PetscInt *recv_buffer_idxs_local;
8004: PetscScalar *ptr_vals, *recv_buffer_vals;
8005: const PetscScalar *send_buffer_vals;
8006: PetscScalar *ptr_vecs, *send_buffer_vecs, *recv_buffer_vecs;
8007: /* MPI */
8008: MPI_Comm comm, comm_n;
8009: PetscSubcomm subcomm;
8010: PetscMPIInt n_sends, n_recvs, size;
8011: PetscMPIInt *iflags, *ilengths_idxs, *ilengths_vals, *ilengths_idxs_is;
8012: PetscMPIInt *onodes, *onodes_is, *olengths_idxs, *olengths_idxs_is, *olengths_vals;
8013: PetscMPIInt len, tag_idxs, tag_idxs_is, tag_vals, tag_vecs, source_dest;
8014: MPI_Request *send_req_idxs, *send_req_idxs_is, *send_req_vals, *send_req_vecs;
8015: MPI_Request *recv_req_idxs, *recv_req_idxs_is, *recv_req_vals, *recv_req_vecs;
8017: PetscFunctionBegin;
8019: PetscCall(PetscObjectTypeCompare((PetscObject)mat, MATIS, &ismatis));
8020: PetscCheck(ismatis, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot use %s on a matrix object which is not of type MATIS", PETSC_FUNCTION_NAME);
8027: if (nvecs) {
8028: PetscCheck(nvecs <= 1, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Just 1 vector supported");
8030: }
8031: /* further checks */
8032: PetscCall(MatISGetLocalMat(mat, &local_mat));
8033: PetscCall(PetscObjectTypeCompare((PetscObject)local_mat, MATSEQDENSE, &isdense));
8034: PetscCheck(isdense, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Currently cannot subassemble MATIS when local matrix type is not of type SEQDENSE");
8036: PetscCall(MatGetSize(local_mat, &rows, &cols));
8037: PetscCheck(rows == cols, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Local MATIS matrices should be square");
8038: if (reuse && *mat_n) {
8039: PetscInt mrows, mcols, mnrows, mncols;
8041: PetscCall(PetscObjectTypeCompare((PetscObject)*mat_n, MATIS, &ismatis));
8042: PetscCheck(ismatis, PetscObjectComm((PetscObject)*mat_n), PETSC_ERR_SUP, "Cannot reuse a matrix which is not of type MATIS");
8043: PetscCall(MatGetSize(mat, &mrows, &mcols));
8044: PetscCall(MatGetSize(*mat_n, &mnrows, &mncols));
8045: PetscCheck(mrows == mnrows, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot reuse matrix! Wrong number of rows %" PetscInt_FMT " != %" PetscInt_FMT, mrows, mnrows);
8046: PetscCheck(mcols == mncols, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot reuse matrix! Wrong number of cols %" PetscInt_FMT " != %" PetscInt_FMT, mcols, mncols);
8047: }
8048: PetscCall(MatGetBlockSize(local_mat, &bs));
8051: /* prepare IS for sending if not provided */
8052: if (!is_sends) {
8053: PetscCheck(n_subdomains, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "You should specify either an IS or a target number of subdomains");
8054: PetscCall(PCBDDCMatISGetSubassemblingPattern(mat, &n_subdomains, 0, &is_sends_internal, NULL));
8055: } else {
8056: PetscCall(PetscObjectReference((PetscObject)is_sends));
8057: is_sends_internal = is_sends;
8058: }
8060: /* get comm */
8061: PetscCall(PetscObjectGetComm((PetscObject)mat, &comm));
8063: /* compute number of sends */
8064: PetscCall(ISGetLocalSize(is_sends_internal, &i));
8065: PetscCall(PetscMPIIntCast(i, &n_sends));
8067: /* compute number of receives */
8068: PetscCallMPI(MPI_Comm_size(comm, &size));
8069: PetscCall(PetscMalloc1(size, &iflags));
8070: PetscCall(PetscArrayzero(iflags, size));
8071: PetscCall(ISGetIndices(is_sends_internal, &is_indices));
8072: for (i = 0; i < n_sends; i++) iflags[is_indices[i]] = 1;
8073: PetscCall(PetscGatherNumberOfMessages(comm, iflags, NULL, &n_recvs));
8074: PetscCall(PetscFree(iflags));
8076: /* restrict comm if requested */
8077: subcomm = NULL;
8078: destroy_mat = PETSC_FALSE;
8079: if (restrict_comm) {
8080: PetscMPIInt color, subcommsize;
8082: color = 0;
8083: if (restrict_full) {
8084: if (!n_recvs) color = 1; /* processes not receiving anything will not participate in new comm (full restriction) */
8085: } else {
8086: if (!n_recvs && n_sends) color = 1; /* just those processes that are sending but not receiving anything will not participate in new comm */
8087: }
8088: PetscCallMPI(MPIU_Allreduce(&color, &subcommsize, 1, MPI_INT, MPI_SUM, comm));
8089: subcommsize = size - subcommsize;
8090: /* check if reuse has been requested */
8091: if (reuse) {
8092: if (*mat_n) {
8093: PetscMPIInt subcommsize2;
8094: PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)*mat_n), &subcommsize2));
8095: PetscCheck(subcommsize == subcommsize2, PetscObjectComm((PetscObject)*mat_n), PETSC_ERR_PLIB, "Cannot reuse matrix! wrong subcomm size %d != %d", subcommsize, subcommsize2);
8096: comm_n = PetscObjectComm((PetscObject)*mat_n);
8097: } else {
8098: comm_n = PETSC_COMM_SELF;
8099: }
8100: } else { /* MAT_INITIAL_MATRIX */
8101: PetscMPIInt rank;
8103: PetscCallMPI(MPI_Comm_rank(comm, &rank));
8104: PetscCall(PetscSubcommCreate(comm, &subcomm));
8105: PetscCall(PetscSubcommSetNumber(subcomm, 2));
8106: PetscCall(PetscSubcommSetTypeGeneral(subcomm, color, rank));
8107: comm_n = PetscSubcommChild(subcomm);
8108: }
8109: /* flag to destroy *mat_n if not significative */
8110: if (color) destroy_mat = PETSC_TRUE;
8111: } else {
8112: comm_n = comm;
8113: }
8115: /* prepare send/receive buffers */
8116: PetscCall(PetscMalloc1(size, &ilengths_idxs));
8117: PetscCall(PetscArrayzero(ilengths_idxs, size));
8118: PetscCall(PetscMalloc1(size, &ilengths_vals));
8119: PetscCall(PetscArrayzero(ilengths_vals, size));
8120: if (nis) PetscCall(PetscCalloc1(size, &ilengths_idxs_is));
8122: /* Get data from local matrices */
8123: PetscCheck(isdense, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Subassembling of AIJ local matrices not yet implemented");
8124: /* TODO: See below some guidelines on how to prepare the local buffers */
8125: /*
8126: send_buffer_vals should contain the raw values of the local matrix
8127: send_buffer_idxs should contain:
8128: - MatType_PRIVATE type
8129: - PetscInt size_of_l2gmap
8130: - PetscInt global_row_indices[size_of_l2gmap]
8131: - PetscInt all_other_info_which_is_needed_to_compute_preallocation_and_set_values
8132: */
8133: {
8134: ISLocalToGlobalMapping mapping;
8136: PetscCall(MatISGetLocalToGlobalMapping(mat, &mapping, NULL));
8137: PetscCall(MatDenseGetArrayRead(local_mat, &send_buffer_vals));
8138: PetscCall(ISLocalToGlobalMappingGetSize(mapping, &i));
8139: PetscCall(PetscMalloc1(i + 2, &send_buffer_idxs));
8140: send_buffer_idxs[0] = (PetscInt)MATDENSE_PRIVATE;
8141: send_buffer_idxs[1] = i;
8142: PetscCall(ISLocalToGlobalMappingGetIndices(mapping, (const PetscInt **)&ptr_idxs));
8143: PetscCall(PetscArraycpy(&send_buffer_idxs[2], ptr_idxs, i));
8144: PetscCall(ISLocalToGlobalMappingRestoreIndices(mapping, (const PetscInt **)&ptr_idxs));
8145: PetscCall(PetscMPIIntCast(i, &len));
8146: for (i = 0; i < n_sends; i++) {
8147: ilengths_vals[is_indices[i]] = len * len;
8148: ilengths_idxs[is_indices[i]] = len + 2;
8149: }
8150: }
8151: PetscCall(PetscGatherMessageLengths2(comm, n_sends, n_recvs, ilengths_idxs, ilengths_vals, &onodes, &olengths_idxs, &olengths_vals));
8152: /* additional is (if any) */
8153: if (nis) {
8154: PetscMPIInt psum;
8155: PetscInt j;
8156: for (j = 0, psum = 0; j < nis; j++) {
8157: PetscInt plen;
8158: PetscCall(ISGetLocalSize(isarray[j], &plen));
8159: PetscCall(PetscMPIIntCast(plen, &len));
8160: psum += len + 1; /* indices + length */
8161: }
8162: PetscCall(PetscMalloc1(psum, &send_buffer_idxs_is));
8163: for (j = 0, psum = 0; j < nis; j++) {
8164: PetscInt plen;
8165: const PetscInt *is_array_idxs;
8166: PetscCall(ISGetLocalSize(isarray[j], &plen));
8167: send_buffer_idxs_is[psum] = plen;
8168: PetscCall(ISGetIndices(isarray[j], &is_array_idxs));
8169: PetscCall(PetscArraycpy(&send_buffer_idxs_is[psum + 1], is_array_idxs, plen));
8170: PetscCall(ISRestoreIndices(isarray[j], &is_array_idxs));
8171: psum += plen + 1; /* indices + length */
8172: }
8173: for (i = 0; i < n_sends; i++) ilengths_idxs_is[is_indices[i]] = psum;
8174: PetscCall(PetscGatherMessageLengths(comm, n_sends, n_recvs, ilengths_idxs_is, &onodes_is, &olengths_idxs_is));
8175: }
8176: PetscCall(MatISRestoreLocalMat(mat, &local_mat));
8178: buf_size_idxs = 0;
8179: buf_size_vals = 0;
8180: buf_size_idxs_is = 0;
8181: buf_size_vecs = 0;
8182: for (i = 0; i < n_recvs; i++) {
8183: buf_size_idxs += olengths_idxs[i];
8184: buf_size_vals += olengths_vals[i];
8185: if (nis) buf_size_idxs_is += olengths_idxs_is[i];
8186: if (nvecs) buf_size_vecs += olengths_idxs[i];
8187: }
8188: PetscCall(PetscMalloc1(buf_size_idxs, &recv_buffer_idxs));
8189: PetscCall(PetscMalloc1(buf_size_vals, &recv_buffer_vals));
8190: PetscCall(PetscMalloc1(buf_size_idxs_is, &recv_buffer_idxs_is));
8191: PetscCall(PetscMalloc1(buf_size_vecs, &recv_buffer_vecs));
8193: /* get new tags for clean communications */
8194: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_idxs));
8195: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_vals));
8196: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_idxs_is));
8197: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_vecs));
8199: /* allocate for requests */
8200: PetscCall(PetscMalloc1(n_sends, &send_req_idxs));
8201: PetscCall(PetscMalloc1(n_sends, &send_req_vals));
8202: PetscCall(PetscMalloc1(n_sends, &send_req_idxs_is));
8203: PetscCall(PetscMalloc1(n_sends, &send_req_vecs));
8204: PetscCall(PetscMalloc1(n_recvs, &recv_req_idxs));
8205: PetscCall(PetscMalloc1(n_recvs, &recv_req_vals));
8206: PetscCall(PetscMalloc1(n_recvs, &recv_req_idxs_is));
8207: PetscCall(PetscMalloc1(n_recvs, &recv_req_vecs));
8209: /* communications */
8210: ptr_idxs = recv_buffer_idxs;
8211: ptr_vals = recv_buffer_vals;
8212: ptr_idxs_is = recv_buffer_idxs_is;
8213: ptr_vecs = recv_buffer_vecs;
8214: for (i = 0; i < n_recvs; i++) {
8215: PetscCallMPI(MPIU_Irecv(ptr_idxs, olengths_idxs[i], MPIU_INT, onodes[i], tag_idxs, comm, &recv_req_idxs[i]));
8216: PetscCallMPI(MPIU_Irecv(ptr_vals, olengths_vals[i], MPIU_SCALAR, onodes[i], tag_vals, comm, &recv_req_vals[i]));
8217: ptr_idxs += olengths_idxs[i];
8218: ptr_vals += olengths_vals[i];
8219: if (nis) {
8220: PetscCallMPI(MPIU_Irecv(ptr_idxs_is, olengths_idxs_is[i], MPIU_INT, onodes_is[i], tag_idxs_is, comm, &recv_req_idxs_is[i]));
8221: ptr_idxs_is += olengths_idxs_is[i];
8222: }
8223: if (nvecs) {
8224: PetscCallMPI(MPIU_Irecv(ptr_vecs, olengths_idxs[i] - 2, MPIU_SCALAR, onodes[i], tag_vecs, comm, &recv_req_vecs[i]));
8225: ptr_vecs += olengths_idxs[i] - 2;
8226: }
8227: }
8228: for (i = 0; i < n_sends; i++) {
8229: PetscCall(PetscMPIIntCast(is_indices[i], &source_dest));
8230: PetscCallMPI(MPIU_Isend(send_buffer_idxs, ilengths_idxs[source_dest], MPIU_INT, source_dest, tag_idxs, comm, &send_req_idxs[i]));
8231: PetscCallMPI(MPIU_Isend(send_buffer_vals, ilengths_vals[source_dest], MPIU_SCALAR, source_dest, tag_vals, comm, &send_req_vals[i]));
8232: 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]));
8233: if (nvecs) {
8234: PetscCall(VecGetArray(nnsp_vec[0], &send_buffer_vecs));
8235: PetscCallMPI(MPIU_Isend(send_buffer_vecs, ilengths_idxs[source_dest] - 2, MPIU_SCALAR, source_dest, tag_vecs, comm, &send_req_vecs[i]));
8236: }
8237: }
8238: PetscCall(ISRestoreIndices(is_sends_internal, &is_indices));
8239: PetscCall(ISDestroy(&is_sends_internal));
8241: /* assemble new l2g map */
8242: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_idxs, MPI_STATUSES_IGNORE));
8243: ptr_idxs = recv_buffer_idxs;
8244: new_local_rows = 0;
8245: for (i = 0; i < n_recvs; i++) {
8246: new_local_rows += *(ptr_idxs + 1); /* second element is the local size of the l2gmap */
8247: ptr_idxs += olengths_idxs[i];
8248: }
8249: PetscCall(PetscMalloc1(new_local_rows, &l2gmap_indices));
8250: ptr_idxs = recv_buffer_idxs;
8251: new_local_rows = 0;
8252: for (i = 0; i < n_recvs; i++) {
8253: PetscCall(PetscArraycpy(&l2gmap_indices[new_local_rows], ptr_idxs + 2, *(ptr_idxs + 1)));
8254: new_local_rows += *(ptr_idxs + 1); /* second element is the local size of the l2gmap */
8255: ptr_idxs += olengths_idxs[i];
8256: }
8257: PetscCall(PetscSortRemoveDupsInt(&new_local_rows, l2gmap_indices));
8258: PetscCall(ISLocalToGlobalMappingCreate(comm_n, 1, new_local_rows, l2gmap_indices, PETSC_COPY_VALUES, &l2gmap));
8259: PetscCall(PetscFree(l2gmap_indices));
8261: /* infer new local matrix type from received local matrices type */
8262: /* currently if all local matrices are of type X, then the resulting matrix will be of type X, except for the dense case */
8263: /* 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) */
8264: if (n_recvs) {
8265: MatTypePrivate new_local_type_private = (MatTypePrivate)send_buffer_idxs[0];
8266: ptr_idxs = recv_buffer_idxs;
8267: for (i = 0; i < n_recvs; i++) {
8268: if ((PetscInt)new_local_type_private != *ptr_idxs) {
8269: new_local_type_private = MATAIJ_PRIVATE;
8270: break;
8271: }
8272: ptr_idxs += olengths_idxs[i];
8273: }
8274: switch (new_local_type_private) {
8275: case MATDENSE_PRIVATE:
8276: new_local_type = MATSEQAIJ;
8277: bs = 1;
8278: break;
8279: case MATAIJ_PRIVATE:
8280: new_local_type = MATSEQAIJ;
8281: bs = 1;
8282: break;
8283: case MATBAIJ_PRIVATE:
8284: new_local_type = MATSEQBAIJ;
8285: break;
8286: case MATSBAIJ_PRIVATE:
8287: new_local_type = MATSEQSBAIJ;
8288: break;
8289: default:
8290: SETERRQ(comm, PETSC_ERR_SUP, "Unsupported private type %d in %s", new_local_type_private, PETSC_FUNCTION_NAME);
8291: }
8292: } else { /* by default, new_local_type is seqaij */
8293: new_local_type = MATSEQAIJ;
8294: bs = 1;
8295: }
8297: /* create MATIS object if needed */
8298: if (!reuse) {
8299: PetscCall(MatGetSize(mat, &rows, &cols));
8300: PetscCall(MatCreateIS(comm_n, bs, PETSC_DECIDE, PETSC_DECIDE, rows, cols, l2gmap, l2gmap, mat_n));
8301: } else {
8302: /* it also destroys the local matrices */
8303: if (*mat_n) {
8304: PetscCall(MatSetLocalToGlobalMapping(*mat_n, l2gmap, l2gmap));
8305: } else { /* this is a fake object */
8306: PetscCall(MatCreateIS(comm_n, bs, PETSC_DECIDE, PETSC_DECIDE, rows, cols, l2gmap, l2gmap, mat_n));
8307: }
8308: }
8309: PetscCall(MatISGetLocalMat(*mat_n, &local_mat));
8310: PetscCall(MatSetType(local_mat, new_local_type));
8312: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_vals, MPI_STATUSES_IGNORE));
8314: /* Global to local map of received indices */
8315: PetscCall(PetscMalloc1(buf_size_idxs, &recv_buffer_idxs_local)); /* needed for values insertion */
8316: PetscCall(ISGlobalToLocalMappingApply(l2gmap, IS_GTOLM_MASK, buf_size_idxs, recv_buffer_idxs, &i, recv_buffer_idxs_local));
8317: PetscCall(ISLocalToGlobalMappingDestroy(&l2gmap));
8319: /* restore attributes -> type of incoming data and its size */
8320: buf_size_idxs = 0;
8321: for (i = 0; i < n_recvs; i++) {
8322: recv_buffer_idxs_local[buf_size_idxs] = recv_buffer_idxs[buf_size_idxs];
8323: recv_buffer_idxs_local[buf_size_idxs + 1] = recv_buffer_idxs[buf_size_idxs + 1];
8324: buf_size_idxs += olengths_idxs[i];
8325: }
8326: PetscCall(PetscFree(recv_buffer_idxs));
8328: /* set preallocation */
8329: PetscCall(PetscObjectTypeCompare((PetscObject)local_mat, MATSEQDENSE, &newisdense));
8330: if (!newisdense) {
8331: PetscInt *new_local_nnz = NULL;
8333: ptr_idxs = recv_buffer_idxs_local;
8334: if (n_recvs) PetscCall(PetscCalloc1(new_local_rows, &new_local_nnz));
8335: for (i = 0; i < n_recvs; i++) {
8336: PetscInt j;
8337: if (*ptr_idxs == (PetscInt)MATDENSE_PRIVATE) { /* preallocation provided for dense case only */
8338: for (j = 0; j < *(ptr_idxs + 1); j++) new_local_nnz[*(ptr_idxs + 2 + j)] += *(ptr_idxs + 1);
8339: } else {
8340: /* TODO */
8341: }
8342: ptr_idxs += olengths_idxs[i];
8343: }
8344: if (new_local_nnz) {
8345: for (i = 0; i < new_local_rows; i++) new_local_nnz[i] = PetscMin(new_local_nnz[i], new_local_rows);
8346: PetscCall(MatSeqAIJSetPreallocation(local_mat, 0, new_local_nnz));
8347: for (i = 0; i < new_local_rows; i++) new_local_nnz[i] /= bs;
8348: PetscCall(MatSeqBAIJSetPreallocation(local_mat, bs, 0, new_local_nnz));
8349: for (i = 0; i < new_local_rows; i++) new_local_nnz[i] = PetscMax(new_local_nnz[i] - i, 0);
8350: PetscCall(MatSeqSBAIJSetPreallocation(local_mat, bs, 0, new_local_nnz));
8351: } else {
8352: PetscCall(MatSetUp(local_mat));
8353: }
8354: PetscCall(PetscFree(new_local_nnz));
8355: } else {
8356: PetscCall(MatSetUp(local_mat));
8357: }
8359: /* set values */
8360: ptr_vals = recv_buffer_vals;
8361: ptr_idxs = recv_buffer_idxs_local;
8362: for (i = 0; i < n_recvs; i++) {
8363: if (*ptr_idxs == (PetscInt)MATDENSE_PRIVATE) { /* values insertion provided for dense case only */
8364: PetscCall(MatSetOption(local_mat, MAT_ROW_ORIENTED, PETSC_FALSE));
8365: PetscCall(MatSetValues(local_mat, *(ptr_idxs + 1), ptr_idxs + 2, *(ptr_idxs + 1), ptr_idxs + 2, ptr_vals, ADD_VALUES));
8366: PetscCall(MatAssemblyBegin(local_mat, MAT_FLUSH_ASSEMBLY));
8367: PetscCall(MatAssemblyEnd(local_mat, MAT_FLUSH_ASSEMBLY));
8368: PetscCall(MatSetOption(local_mat, MAT_ROW_ORIENTED, PETSC_TRUE));
8369: } else {
8370: /* TODO */
8371: }
8372: ptr_idxs += olengths_idxs[i];
8373: ptr_vals += olengths_vals[i];
8374: }
8375: PetscCall(MatAssemblyBegin(local_mat, MAT_FINAL_ASSEMBLY));
8376: PetscCall(MatAssemblyEnd(local_mat, MAT_FINAL_ASSEMBLY));
8377: PetscCall(MatISRestoreLocalMat(*mat_n, &local_mat));
8378: PetscCall(MatAssemblyBegin(*mat_n, MAT_FINAL_ASSEMBLY));
8379: PetscCall(MatAssemblyEnd(*mat_n, MAT_FINAL_ASSEMBLY));
8380: PetscCall(PetscFree(recv_buffer_vals));
8382: #if 0
8383: if (!restrict_comm) { /* check */
8384: Vec lvec,rvec;
8385: PetscReal infty_error;
8387: PetscCall(MatCreateVecs(mat,&rvec,&lvec));
8388: PetscCall(VecSetRandom(rvec,NULL));
8389: PetscCall(MatMult(mat,rvec,lvec));
8390: PetscCall(VecScale(lvec,-1.0));
8391: PetscCall(MatMultAdd(*mat_n,rvec,lvec,lvec));
8392: PetscCall(VecNorm(lvec,NORM_INFINITY,&infty_error));
8393: PetscCall(PetscPrintf(PetscObjectComm((PetscObject)mat),"Infinity error subassembling %1.6e\n",infty_error));
8394: PetscCall(VecDestroy(&rvec));
8395: PetscCall(VecDestroy(&lvec));
8396: }
8397: #endif
8399: /* assemble new additional is (if any) */
8400: if (nis) {
8401: PetscInt **temp_idxs, *count_is, j, psum;
8403: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_idxs_is, MPI_STATUSES_IGNORE));
8404: PetscCall(PetscCalloc1(nis, &count_is));
8405: ptr_idxs = recv_buffer_idxs_is;
8406: psum = 0;
8407: for (i = 0; i < n_recvs; i++) {
8408: for (j = 0; j < nis; j++) {
8409: PetscInt plen = *(ptr_idxs); /* first element is the local size of IS's indices */
8410: count_is[j] += plen; /* increment counting of buffer for j-th IS */
8411: psum += plen;
8412: ptr_idxs += plen + 1; /* shift pointer to received data */
8413: }
8414: }
8415: PetscCall(PetscMalloc1(nis, &temp_idxs));
8416: PetscCall(PetscMalloc1(psum, &temp_idxs[0]));
8417: for (i = 1; i < nis; i++) temp_idxs[i] = PetscSafePointerPlusOffset(temp_idxs[i - 1], count_is[i - 1]);
8418: PetscCall(PetscArrayzero(count_is, nis));
8419: ptr_idxs = recv_buffer_idxs_is;
8420: for (i = 0; i < n_recvs; i++) {
8421: for (j = 0; j < nis; j++) {
8422: PetscInt plen = *(ptr_idxs); /* first element is the local size of IS's indices */
8423: PetscCall(PetscArraycpy(&temp_idxs[j][count_is[j]], ptr_idxs + 1, plen));
8424: count_is[j] += plen; /* increment starting point of buffer for j-th IS */
8425: ptr_idxs += plen + 1; /* shift pointer to received data */
8426: }
8427: }
8428: for (i = 0; i < nis; i++) {
8429: PetscCall(ISDestroy(&isarray[i]));
8430: PetscCall(PetscSortRemoveDupsInt(&count_is[i], temp_idxs[i]));
8431: PetscCall(ISCreateGeneral(comm_n, count_is[i], temp_idxs[i], PETSC_COPY_VALUES, &isarray[i]));
8432: }
8433: PetscCall(PetscFree(count_is));
8434: PetscCall(PetscFree(temp_idxs[0]));
8435: PetscCall(PetscFree(temp_idxs));
8436: }
8437: /* free workspace */
8438: PetscCall(PetscFree(recv_buffer_idxs_is));
8439: PetscCallMPI(MPI_Waitall(n_sends, send_req_idxs, MPI_STATUSES_IGNORE));
8440: PetscCall(PetscFree(send_buffer_idxs));
8441: PetscCallMPI(MPI_Waitall(n_sends, send_req_vals, MPI_STATUSES_IGNORE));
8442: if (isdense) {
8443: PetscCall(MatISGetLocalMat(mat, &local_mat));
8444: PetscCall(MatDenseRestoreArrayRead(local_mat, &send_buffer_vals));
8445: PetscCall(MatISRestoreLocalMat(mat, &local_mat));
8446: } else {
8447: /* PetscCall(PetscFree(send_buffer_vals)); */
8448: }
8449: if (nis) {
8450: PetscCallMPI(MPI_Waitall(n_sends, send_req_idxs_is, MPI_STATUSES_IGNORE));
8451: PetscCall(PetscFree(send_buffer_idxs_is));
8452: }
8454: if (nvecs) {
8455: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_vecs, MPI_STATUSES_IGNORE));
8456: PetscCallMPI(MPI_Waitall(n_sends, send_req_vecs, MPI_STATUSES_IGNORE));
8457: PetscCall(VecRestoreArray(nnsp_vec[0], &send_buffer_vecs));
8458: PetscCall(VecDestroy(&nnsp_vec[0]));
8459: PetscCall(VecCreate(comm_n, &nnsp_vec[0]));
8460: PetscCall(VecSetSizes(nnsp_vec[0], new_local_rows, PETSC_DECIDE));
8461: PetscCall(VecSetType(nnsp_vec[0], VECSTANDARD));
8462: /* set values */
8463: ptr_vals = recv_buffer_vecs;
8464: ptr_idxs = recv_buffer_idxs_local;
8465: PetscCall(VecGetArray(nnsp_vec[0], &send_buffer_vecs));
8466: for (i = 0; i < n_recvs; i++) {
8467: PetscInt j;
8468: for (j = 0; j < *(ptr_idxs + 1); j++) send_buffer_vecs[*(ptr_idxs + 2 + j)] += *(ptr_vals + j);
8469: ptr_idxs += olengths_idxs[i];
8470: ptr_vals += olengths_idxs[i] - 2;
8471: }
8472: PetscCall(VecRestoreArray(nnsp_vec[0], &send_buffer_vecs));
8473: PetscCall(VecAssemblyBegin(nnsp_vec[0]));
8474: PetscCall(VecAssemblyEnd(nnsp_vec[0]));
8475: }
8477: PetscCall(PetscFree(recv_buffer_vecs));
8478: PetscCall(PetscFree(recv_buffer_idxs_local));
8479: PetscCall(PetscFree(recv_req_idxs));
8480: PetscCall(PetscFree(recv_req_vals));
8481: PetscCall(PetscFree(recv_req_vecs));
8482: PetscCall(PetscFree(recv_req_idxs_is));
8483: PetscCall(PetscFree(send_req_idxs));
8484: PetscCall(PetscFree(send_req_vals));
8485: PetscCall(PetscFree(send_req_vecs));
8486: PetscCall(PetscFree(send_req_idxs_is));
8487: PetscCall(PetscFree(ilengths_vals));
8488: PetscCall(PetscFree(ilengths_idxs));
8489: PetscCall(PetscFree(olengths_vals));
8490: PetscCall(PetscFree(olengths_idxs));
8491: PetscCall(PetscFree(onodes));
8492: if (nis) {
8493: PetscCall(PetscFree(ilengths_idxs_is));
8494: PetscCall(PetscFree(olengths_idxs_is));
8495: PetscCall(PetscFree(onodes_is));
8496: }
8497: PetscCall(PetscSubcommDestroy(&subcomm));
8498: if (destroy_mat) { /* destroy mat is true only if restrict comm is true and process will not participate */
8499: PetscCall(MatDestroy(mat_n));
8500: for (i = 0; i < nis; i++) PetscCall(ISDestroy(&isarray[i]));
8501: if (nvecs) { /* need to match VecDestroy nnsp_vec called in the other code path */
8502: PetscCall(VecDestroy(&nnsp_vec[0]));
8503: }
8504: *mat_n = NULL;
8505: }
8506: PetscFunctionReturn(PETSC_SUCCESS);
8507: }
8509: /* temporary hack into ksp private data structure */
8510: #include <petsc/private/kspimpl.h>
8512: PetscErrorCode PCBDDCSetUpCoarseSolver(PC pc, Mat coarse_submat)
8513: {
8514: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
8515: PC_IS *pcis = (PC_IS *)pc->data;
8516: PCBDDCGraph graph = pcbddc->mat_graph;
8517: Mat coarse_mat, coarse_mat_is;
8518: Mat coarsedivudotp = NULL;
8519: Mat coarseG, t_coarse_mat_is;
8520: MatNullSpace CoarseNullSpace = NULL;
8521: ISLocalToGlobalMapping coarse_islg;
8522: IS coarse_is, *isarray, corners;
8523: PetscInt i, im_active = -1, active_procs = -1;
8524: PetscInt nis, nisdofs, nisneu, nisvert;
8525: PetscInt coarse_eqs_per_proc, coarsening_ratio;
8526: PC pc_temp;
8527: PCType coarse_pc_type;
8528: KSPType coarse_ksp_type;
8529: PetscBool multilevel_requested, multilevel_allowed;
8530: PetscBool coarse_reuse, multi_element = graph->multi_element;
8531: PetscInt ncoarse, nedcfield;
8532: PetscBool compute_vecs = PETSC_FALSE;
8533: PetscScalar *array;
8534: MatReuse coarse_mat_reuse;
8535: PetscBool restr, full_restr, have_void;
8536: PetscMPIInt size;
8538: PetscFunctionBegin;
8539: PetscCall(PetscLogEventBegin(PC_BDDC_CoarseSetUp[pcbddc->current_level], pc, 0, 0, 0));
8540: /* Assign global numbering to coarse dofs */
8541: 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 */
8542: PetscInt ocoarse_size;
8543: compute_vecs = PETSC_TRUE;
8545: pcbddc->new_primal_space = PETSC_TRUE;
8546: ocoarse_size = pcbddc->coarse_size;
8547: PetscCall(PetscFree(pcbddc->global_primal_indices));
8548: PetscCall(PCBDDCComputePrimalNumbering(pc, &pcbddc->coarse_size, &pcbddc->global_primal_indices));
8549: /* see if we can avoid some work */
8550: if (pcbddc->coarse_ksp) { /* coarse ksp has already been created */
8551: /* if the coarse size is different or we are using adaptive selection, better to not reuse the coarse matrix */
8552: if (ocoarse_size != pcbddc->coarse_size || pcbddc->adaptive_selection) {
8553: PetscCall(KSPReset(pcbddc->coarse_ksp));
8554: coarse_reuse = PETSC_FALSE;
8555: } else { /* we can safely reuse already computed coarse matrix */
8556: coarse_reuse = PETSC_TRUE;
8557: }
8558: } else { /* there's no coarse ksp, so we need to create the coarse matrix too */
8559: coarse_reuse = PETSC_FALSE;
8560: }
8561: /* reset any subassembling information */
8562: if (!coarse_reuse || pcbddc->recompute_topography) PetscCall(ISDestroy(&pcbddc->coarse_subassembling));
8563: } else { /* primal space is unchanged, so we can reuse coarse matrix */
8564: coarse_reuse = PETSC_TRUE;
8565: }
8566: if (coarse_reuse && pcbddc->coarse_ksp) {
8567: PetscCall(KSPGetOperators(pcbddc->coarse_ksp, &coarse_mat, NULL));
8568: PetscCall(PetscObjectReference((PetscObject)coarse_mat));
8569: coarse_mat_reuse = MAT_REUSE_MATRIX;
8570: } else {
8571: coarse_mat = NULL;
8572: coarse_mat_reuse = MAT_INITIAL_MATRIX;
8573: }
8575: /* creates temporary l2gmap and IS for coarse indexes */
8576: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), pcbddc->local_primal_size, pcbddc->global_primal_indices, PETSC_COPY_VALUES, &coarse_is));
8577: PetscCall(ISLocalToGlobalMappingCreateIS(coarse_is, &coarse_islg));
8579: /* creates temporary MATIS object for coarse matrix */
8580: PetscCall(MatCreate(PetscObjectComm((PetscObject)pc), &t_coarse_mat_is));
8581: PetscCall(MatSetType(t_coarse_mat_is, MATIS));
8582: PetscCall(MatSetSizes(t_coarse_mat_is, PETSC_DECIDE, PETSC_DECIDE, pcbddc->coarse_size, pcbddc->coarse_size));
8583: PetscCall(MatISSetAllowRepeated(t_coarse_mat_is, multi_element));
8584: PetscCall(MatSetLocalToGlobalMapping(t_coarse_mat_is, coarse_islg, coarse_islg));
8585: PetscCall(MatISSetLocalMat(t_coarse_mat_is, coarse_submat));
8586: PetscCall(MatAssemblyBegin(t_coarse_mat_is, MAT_FINAL_ASSEMBLY));
8587: PetscCall(MatAssemblyEnd(t_coarse_mat_is, MAT_FINAL_ASSEMBLY));
8588: PetscCall(MatViewFromOptions(t_coarse_mat_is, (PetscObject)pc, "-pc_bddc_coarse_mat_is_view"));
8590: /* count "active" (i.e. with positive local size) and "void" processes */
8591: im_active = !!pcis->n;
8592: PetscCallMPI(MPIU_Allreduce(&im_active, &active_procs, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)pc)));
8594: /* determine number of processes partecipating to coarse solver and compute subassembling pattern */
8595: /* restr : whether we want to exclude senders (which are not receivers) from the subassembling pattern */
8596: /* full_restr : just use the receivers from the subassembling pattern */
8597: PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pc), &size));
8598: coarse_mat_is = NULL;
8599: multilevel_allowed = PETSC_FALSE;
8600: multilevel_requested = PETSC_FALSE;
8601: coarse_eqs_per_proc = PetscMin(PetscMax(pcbddc->coarse_size, 1), pcbddc->coarse_eqs_per_proc);
8602: if (coarse_eqs_per_proc < 0 || size == 1) coarse_eqs_per_proc = PetscMax(pcbddc->coarse_size, 1);
8603: if (pcbddc->current_level < pcbddc->max_levels) multilevel_requested = PETSC_TRUE;
8604: if (pcbddc->coarse_size <= pcbddc->coarse_eqs_limit) multilevel_requested = PETSC_FALSE;
8605: coarsening_ratio = multi_element ? 1 : pcbddc->coarsening_ratio;
8606: if (multilevel_requested) {
8607: ncoarse = active_procs / coarsening_ratio;
8608: restr = PETSC_FALSE;
8609: full_restr = PETSC_FALSE;
8610: } else {
8611: ncoarse = pcbddc->coarse_size / coarse_eqs_per_proc + !!(pcbddc->coarse_size % coarse_eqs_per_proc);
8612: restr = PETSC_TRUE;
8613: full_restr = PETSC_TRUE;
8614: }
8615: if (!pcbddc->coarse_size || (size == 1 && !multi_element)) multilevel_allowed = multilevel_requested = restr = full_restr = PETSC_FALSE;
8616: ncoarse = PetscMax(1, ncoarse);
8617: if (!pcbddc->coarse_subassembling) {
8618: if (coarsening_ratio > 1) {
8619: if (multilevel_requested) {
8620: PetscCall(PCBDDCMatISGetSubassemblingPattern(pc->pmat, &ncoarse, pcbddc->coarse_adj_red, &pcbddc->coarse_subassembling, &have_void));
8621: } else {
8622: PetscCall(PCBDDCMatISGetSubassemblingPattern(t_coarse_mat_is, &ncoarse, pcbddc->coarse_adj_red, &pcbddc->coarse_subassembling, &have_void));
8623: }
8624: } else {
8625: PetscMPIInt rank;
8627: PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pc), &rank));
8628: have_void = (active_procs == size) ? PETSC_FALSE : PETSC_TRUE;
8629: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), 1, rank, 1, &pcbddc->coarse_subassembling));
8630: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_subassembling, "default subassembling"));
8631: }
8632: } else { /* if a subassembling pattern exists, then we can reuse the coarse ksp and compute the number of process involved */
8633: PetscInt psum;
8634: if (pcbddc->coarse_ksp) psum = 1;
8635: else psum = 0;
8636: PetscCallMPI(MPIU_Allreduce(&psum, &ncoarse, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)pc)));
8637: have_void = ncoarse < size ? PETSC_TRUE : PETSC_FALSE;
8638: }
8639: /* determine if we can go multilevel */
8640: if (multilevel_requested) {
8641: if (ncoarse > 1) multilevel_allowed = PETSC_TRUE; /* found enough processes */
8642: else restr = full_restr = PETSC_TRUE; /* 1 subdomain, use a direct solver */
8643: }
8644: if (multilevel_allowed && have_void) restr = PETSC_TRUE;
8646: /* dump subassembling pattern */
8647: if (pcbddc->dbg_flag && multilevel_allowed) PetscCall(ISView(pcbddc->coarse_subassembling, pcbddc->dbg_viewer));
8648: /* compute dofs splitting and neumann boundaries for coarse dofs */
8649: nedcfield = -1;
8650: corners = NULL;
8651: if (multilevel_allowed && !coarse_reuse && (pcbddc->n_ISForDofsLocal || pcbddc->NeumannBoundariesLocal || pcbddc->nedclocal || pcbddc->corner_selected)) { /* protects from unneeded computations */
8652: PetscInt *tidxs, *tidxs2, nout, tsize, i;
8653: const PetscInt *idxs;
8654: ISLocalToGlobalMapping tmap;
8656: /* create map between primal indices (in local representative ordering) and local primal numbering */
8657: PetscCall(ISLocalToGlobalMappingCreate(PETSC_COMM_SELF, 1, pcbddc->local_primal_size, pcbddc->primal_indices_local_idxs, PETSC_COPY_VALUES, &tmap));
8658: /* allocate space for temporary storage */
8659: PetscCall(PetscMalloc1(pcbddc->local_primal_size, &tidxs));
8660: PetscCall(PetscMalloc1(pcbddc->local_primal_size, &tidxs2));
8661: /* allocate for IS array */
8662: nisdofs = pcbddc->n_ISForDofsLocal;
8663: if (pcbddc->nedclocal) {
8664: if (pcbddc->nedfield > -1) {
8665: nedcfield = pcbddc->nedfield;
8666: } else {
8667: nedcfield = 0;
8668: PetscCheck(!nisdofs, PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "This should not happen (%" PetscInt_FMT ")", nisdofs);
8669: nisdofs = 1;
8670: }
8671: }
8672: nisneu = !!pcbddc->NeumannBoundariesLocal;
8673: nisvert = 0; /* nisvert is not used */
8674: nis = nisdofs + nisneu + nisvert;
8675: PetscCall(PetscMalloc1(nis, &isarray));
8676: /* dofs splitting */
8677: for (i = 0; i < nisdofs; i++) {
8678: /* PetscCall(ISView(pcbddc->ISForDofsLocal[i],0)); */
8679: if (nedcfield != i) {
8680: PetscCall(ISGetLocalSize(pcbddc->ISForDofsLocal[i], &tsize));
8681: PetscCall(ISGetIndices(pcbddc->ISForDofsLocal[i], &idxs));
8682: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8683: PetscCall(ISRestoreIndices(pcbddc->ISForDofsLocal[i], &idxs));
8684: } else {
8685: PetscCall(ISGetLocalSize(pcbddc->nedclocal, &tsize));
8686: PetscCall(ISGetIndices(pcbddc->nedclocal, &idxs));
8687: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8688: PetscCheck(tsize == nout, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Failed when mapping coarse nedelec field! %" PetscInt_FMT " != %" PetscInt_FMT, tsize, nout);
8689: PetscCall(ISRestoreIndices(pcbddc->nedclocal, &idxs));
8690: }
8691: PetscCall(ISLocalToGlobalMappingApply(coarse_islg, nout, tidxs, tidxs2));
8692: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), nout, tidxs2, PETSC_COPY_VALUES, &isarray[i]));
8693: /* PetscCall(ISView(isarray[i],0)); */
8694: }
8695: /* neumann boundaries */
8696: if (pcbddc->NeumannBoundariesLocal) {
8697: /* PetscCall(ISView(pcbddc->NeumannBoundariesLocal,0)); */
8698: PetscCall(ISGetLocalSize(pcbddc->NeumannBoundariesLocal, &tsize));
8699: PetscCall(ISGetIndices(pcbddc->NeumannBoundariesLocal, &idxs));
8700: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8701: PetscCall(ISRestoreIndices(pcbddc->NeumannBoundariesLocal, &idxs));
8702: PetscCall(ISLocalToGlobalMappingApply(coarse_islg, nout, tidxs, tidxs2));
8703: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), nout, tidxs2, PETSC_COPY_VALUES, &isarray[nisdofs]));
8704: /* PetscCall(ISView(isarray[nisdofs],0)); */
8705: }
8706: /* coordinates */
8707: if (pcbddc->corner_selected) {
8708: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &corners));
8709: PetscCall(ISGetLocalSize(corners, &tsize));
8710: PetscCall(ISGetIndices(corners, &idxs));
8711: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8712: PetscCheck(tsize == nout, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Failed when mapping corners! %" PetscInt_FMT " != %" PetscInt_FMT, tsize, nout);
8713: PetscCall(ISRestoreIndices(corners, &idxs));
8714: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &corners));
8715: PetscCall(ISLocalToGlobalMappingApply(coarse_islg, nout, tidxs, tidxs2));
8716: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), nout, tidxs2, PETSC_COPY_VALUES, &corners));
8717: }
8718: PetscCall(PetscFree(tidxs));
8719: PetscCall(PetscFree(tidxs2));
8720: PetscCall(ISLocalToGlobalMappingDestroy(&tmap));
8721: } else {
8722: nis = 0;
8723: nisdofs = 0;
8724: nisneu = 0;
8725: nisvert = 0;
8726: isarray = NULL;
8727: }
8728: /* destroy no longer needed map */
8729: PetscCall(ISLocalToGlobalMappingDestroy(&coarse_islg));
8731: /* subassemble */
8732: if (multilevel_allowed) {
8733: Vec vp[1];
8734: PetscInt nvecs = 0;
8735: PetscBool reuse;
8737: vp[0] = NULL;
8738: /* XXX HDIV also */
8739: if (pcbddc->benign_have_null) { /* propagate no-net-flux quadrature to coarser level */
8740: PetscCall(VecCreate(PetscObjectComm((PetscObject)pc), &vp[0]));
8741: PetscCall(VecSetSizes(vp[0], pcbddc->local_primal_size, PETSC_DECIDE));
8742: PetscCall(VecSetType(vp[0], VECSTANDARD));
8743: nvecs = 1;
8745: if (pcbddc->divudotp) {
8746: Mat B, loc_divudotp;
8747: Vec v, p;
8748: IS dummy;
8749: PetscInt np;
8751: PetscCall(MatISGetLocalMat(pcbddc->divudotp, &loc_divudotp));
8752: PetscCall(MatGetSize(loc_divudotp, &np, NULL));
8753: PetscCall(ISCreateStride(PETSC_COMM_SELF, np, 0, 1, &dummy));
8754: PetscCall(MatCreateSubMatrix(loc_divudotp, dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &B));
8755: PetscCall(MatCreateVecs(B, &v, &p));
8756: PetscCall(VecSet(p, 1.));
8757: PetscCall(MatMultTranspose(B, p, v));
8758: PetscCall(VecDestroy(&p));
8759: PetscCall(MatDestroy(&B));
8760: PetscCall(VecGetArray(vp[0], &array));
8761: PetscCall(VecPlaceArray(pcbddc->vec1_P, array));
8762: PetscCall(MatMultTranspose(pcbddc->coarse_phi_B, v, pcbddc->vec1_P));
8763: PetscCall(VecResetArray(pcbddc->vec1_P));
8764: PetscCall(VecRestoreArray(vp[0], &array));
8765: PetscCall(ISDestroy(&dummy));
8766: PetscCall(VecDestroy(&v));
8767: }
8768: }
8769: if (coarse_mat) reuse = PETSC_TRUE;
8770: else reuse = PETSC_FALSE;
8771: if (multi_element) {
8772: PetscCall(PetscObjectReference((PetscObject)t_coarse_mat_is));
8773: coarse_mat_is = t_coarse_mat_is;
8774: } else {
8775: PetscCallMPI(MPIU_Allreduce(MPI_IN_PLACE, &reuse, 1, MPI_C_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
8776: if (reuse) {
8777: PetscCall(PCBDDCMatISSubassemble(t_coarse_mat_is, pcbddc->coarse_subassembling, 0, restr, full_restr, PETSC_TRUE, &coarse_mat, nis, isarray, nvecs, vp));
8778: } else {
8779: PetscCall(PCBDDCMatISSubassemble(t_coarse_mat_is, pcbddc->coarse_subassembling, 0, restr, full_restr, PETSC_FALSE, &coarse_mat_is, nis, isarray, nvecs, vp));
8780: }
8781: if (vp[0]) { /* vp[0] could have been placed on a different set of processes */
8782: PetscScalar *arraym;
8783: const PetscScalar *arrayv;
8784: PetscInt nl;
8785: PetscCall(VecGetLocalSize(vp[0], &nl));
8786: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, 1, nl, NULL, &coarsedivudotp));
8787: PetscCall(MatDenseGetArray(coarsedivudotp, &arraym));
8788: PetscCall(VecGetArrayRead(vp[0], &arrayv));
8789: PetscCall(PetscArraycpy(arraym, arrayv, nl));
8790: PetscCall(VecRestoreArrayRead(vp[0], &arrayv));
8791: PetscCall(MatDenseRestoreArray(coarsedivudotp, &arraym));
8792: PetscCall(VecDestroy(&vp[0]));
8793: } else {
8794: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, 0, 0, 1, NULL, &coarsedivudotp));
8795: }
8796: }
8797: } else {
8798: PetscBool default_sub;
8800: PetscCall(PetscStrcmp(((PetscObject)pcbddc->coarse_subassembling)->name, "default subassembling", &default_sub));
8801: if (!default_sub) PetscCall(PCBDDCMatISSubassemble(t_coarse_mat_is, pcbddc->coarse_subassembling, 0, restr, full_restr, PETSC_FALSE, &coarse_mat_is, 0, NULL, 0, NULL));
8802: else {
8803: PetscCall(PetscObjectReference((PetscObject)t_coarse_mat_is));
8804: coarse_mat_is = t_coarse_mat_is;
8805: }
8806: }
8807: if (coarse_mat_is || coarse_mat) {
8808: if (!multilevel_allowed) {
8809: PetscCall(MatConvert(coarse_mat_is, MATAIJ, coarse_mat_reuse, &coarse_mat));
8810: } else {
8811: /* if this matrix is present, it means we are not reusing the coarse matrix */
8812: if (coarse_mat_is) {
8813: PetscCheck(!coarse_mat, PetscObjectComm((PetscObject)coarse_mat_is), PETSC_ERR_PLIB, "This should not happen");
8814: PetscCall(PetscObjectReference((PetscObject)coarse_mat_is));
8815: coarse_mat = coarse_mat_is;
8816: }
8817: }
8818: }
8819: PetscCall(MatDestroy(&t_coarse_mat_is));
8820: PetscCall(MatDestroy(&coarse_mat_is));
8822: /* create local to global scatters for coarse problem */
8823: if (compute_vecs) {
8824: PetscInt lrows;
8825: PetscCall(VecDestroy(&pcbddc->coarse_vec));
8826: if (coarse_mat) {
8827: PetscCall(MatGetLocalSize(coarse_mat, &lrows, NULL));
8828: } else {
8829: lrows = 0;
8830: }
8831: PetscCall(VecCreate(PetscObjectComm((PetscObject)pc), &pcbddc->coarse_vec));
8832: PetscCall(VecSetSizes(pcbddc->coarse_vec, lrows, PETSC_DECIDE));
8833: PetscCall(VecSetType(pcbddc->coarse_vec, coarse_mat ? coarse_mat->defaultvectype : VECSTANDARD));
8834: PetscCall(VecScatterDestroy(&pcbddc->coarse_loc_to_glob));
8835: PetscCall(VecScatterCreate(pcbddc->vec1_P, NULL, pcbddc->coarse_vec, coarse_is, &pcbddc->coarse_loc_to_glob));
8836: }
8837: PetscCall(ISDestroy(&coarse_is));
8839: /* set defaults for coarse KSP and PC */
8840: if (multilevel_allowed) {
8841: coarse_ksp_type = KSPRICHARDSON;
8842: coarse_pc_type = PCBDDC;
8843: } else {
8844: coarse_ksp_type = KSPPREONLY;
8845: coarse_pc_type = PCREDUNDANT;
8846: }
8848: /* print some info if requested */
8849: if (pcbddc->dbg_flag) {
8850: if (!multilevel_allowed) {
8851: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
8852: if (multilevel_requested) {
8853: 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));
8854: } else if (pcbddc->max_levels) {
8855: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Maximum number of requested levels reached (%" PetscInt_FMT ")\n", pcbddc->max_levels));
8856: }
8857: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
8858: }
8859: }
8861: /* communicate coarse discrete gradient */
8862: coarseG = NULL;
8863: if (pcbddc->nedcG && multilevel_allowed) {
8864: MPI_Comm ccomm;
8865: if (coarse_mat) {
8866: ccomm = PetscObjectComm((PetscObject)coarse_mat);
8867: } else {
8868: ccomm = MPI_COMM_NULL;
8869: }
8870: PetscCall(MatMPIAIJRestrict(pcbddc->nedcG, ccomm, &coarseG));
8871: }
8873: /* create the coarse KSP object only once with defaults */
8874: if (coarse_mat) {
8875: PetscBool isredundant, isbddc, force, valid;
8876: PetscViewer dbg_viewer = NULL;
8877: PetscBool isset, issym, isher, isspd;
8879: if (pcbddc->dbg_flag) {
8880: dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)coarse_mat));
8881: PetscCall(PetscViewerASCIIAddTab(dbg_viewer, 2 * pcbddc->current_level));
8882: }
8883: if (!pcbddc->coarse_ksp) {
8884: char prefix[256], str_level[16];
8885: size_t len;
8887: PetscCall(KSPCreate(PetscObjectComm((PetscObject)coarse_mat), &pcbddc->coarse_ksp));
8888: PetscCall(KSPSetNestLevel(pcbddc->coarse_ksp, pc->kspnestlevel));
8889: PetscCall(KSPSetErrorIfNotConverged(pcbddc->coarse_ksp, pc->erroriffailure));
8890: PetscCall(PetscObjectIncrementTabLevel((PetscObject)pcbddc->coarse_ksp, (PetscObject)pc, 1));
8891: PetscCall(KSPSetTolerances(pcbddc->coarse_ksp, PETSC_CURRENT, PETSC_CURRENT, PETSC_CURRENT, 1));
8892: PetscCall(KSPSetOperators(pcbddc->coarse_ksp, coarse_mat, coarse_mat));
8893: PetscCall(KSPSetType(pcbddc->coarse_ksp, coarse_ksp_type));
8894: PetscCall(KSPSetNormType(pcbddc->coarse_ksp, KSP_NORM_NONE));
8895: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &pc_temp));
8896: /* TODO is this logic correct? should check for coarse_mat type */
8897: PetscCall(PCSetType(pc_temp, coarse_pc_type));
8898: /* prefix */
8899: PetscCall(PetscStrncpy(prefix, "", sizeof(prefix)));
8900: PetscCall(PetscStrncpy(str_level, "", sizeof(str_level)));
8901: if (!pcbddc->current_level) {
8902: PetscCall(PetscStrncpy(prefix, ((PetscObject)pc)->prefix, sizeof(prefix)));
8903: PetscCall(PetscStrlcat(prefix, "pc_bddc_coarse_", sizeof(prefix)));
8904: } else {
8905: PetscCall(PetscStrlen(((PetscObject)pc)->prefix, &len));
8906: if (pcbddc->current_level > 1) len -= 3; /* remove "lX_" with X level number */
8907: if (pcbddc->current_level > 10) len -= 1; /* remove another char from level number */
8908: /* Nonstandard use of PetscStrncpy() to copy only a portion of the string */
8909: PetscCall(PetscStrncpy(prefix, ((PetscObject)pc)->prefix, len + 1));
8910: PetscCall(PetscSNPrintf(str_level, sizeof(str_level), "l%" PetscInt_FMT "_", pcbddc->current_level));
8911: PetscCall(PetscStrlcat(prefix, str_level, sizeof(prefix)));
8912: }
8913: PetscCall(KSPSetOptionsPrefix(pcbddc->coarse_ksp, prefix));
8914: /* propagate BDDC info to the next level (these are dummy calls if pc_temp is not of type PCBDDC) */
8915: PetscCall(PCBDDCSetLevel(pc_temp, pcbddc->current_level + 1));
8916: PetscCall(PCBDDCSetCoarseningRatio(pc_temp, pcbddc->coarsening_ratio));
8917: PetscCall(PCBDDCSetLevels(pc_temp, pcbddc->max_levels));
8918: /* allow user customization */
8919: PetscCall(KSPSetFromOptions(pcbddc->coarse_ksp));
8920: /* get some info after set from options */
8921: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &pc_temp));
8922: /* multilevel cannot be done with coarse PC different from BDDC, NN, HPDDM, unless forced to */
8923: force = PETSC_FALSE;
8924: PetscCall(PetscOptionsGetBool(NULL, ((PetscObject)pc_temp)->prefix, "-pc_type_forced", &force, NULL));
8925: PetscCall(PetscObjectTypeCompareAny((PetscObject)pc_temp, &valid, PCBDDC, PCNN, PCHPDDM, ""));
8926: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCBDDC, &isbddc));
8927: if (multilevel_allowed && !force && !valid) {
8928: isbddc = PETSC_TRUE;
8929: PetscCall(PCSetType(pc_temp, PCBDDC));
8930: PetscCall(PCBDDCSetLevel(pc_temp, pcbddc->current_level + 1));
8931: PetscCall(PCBDDCSetCoarseningRatio(pc_temp, pcbddc->coarsening_ratio));
8932: PetscCall(PCBDDCSetLevels(pc_temp, pcbddc->max_levels));
8933: if (pc_temp->ops->setfromoptions) { /* need to setfromoptions again, skipping the pc_type */
8934: PetscObjectOptionsBegin((PetscObject)pc_temp);
8935: PetscCall((*pc_temp->ops->setfromoptions)(pc_temp, PetscOptionsObject));
8936: PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)pc_temp, PetscOptionsObject));
8937: PetscOptionsEnd();
8938: pc_temp->setfromoptionscalled++;
8939: }
8940: }
8941: }
8942: /* propagate BDDC info to the next level (these are dummy calls if pc_temp is not of type PCBDDC) */
8943: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &pc_temp));
8944: if (nisdofs) {
8945: PetscCall(PCBDDCSetDofsSplitting(pc_temp, nisdofs, isarray));
8946: for (i = 0; i < nisdofs; i++) PetscCall(ISDestroy(&isarray[i]));
8947: }
8948: if (nisneu) {
8949: PetscCall(PCBDDCSetNeumannBoundaries(pc_temp, isarray[nisdofs]));
8950: PetscCall(ISDestroy(&isarray[nisdofs]));
8951: }
8952: if (nisvert) {
8953: PetscCall(PCBDDCSetPrimalVerticesIS(pc_temp, isarray[nis - 1]));
8954: PetscCall(ISDestroy(&isarray[nis - 1]));
8955: }
8956: if (coarseG) PetscCall(PCBDDCSetDiscreteGradient(pc_temp, coarseG, 1, nedcfield, PETSC_FALSE, PETSC_TRUE));
8958: /* get some info after set from options */
8959: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCBDDC, &isbddc));
8961: /* multilevel can only be requested via -pc_bddc_levels or PCBDDCSetLevels */
8962: if (isbddc && !multilevel_allowed) PetscCall(PCSetType(pc_temp, coarse_pc_type));
8963: /* multilevel cannot be done with coarse PC different from BDDC, NN, HPDDM, unless forced to */
8964: force = PETSC_FALSE;
8965: PetscCall(PetscOptionsGetBool(NULL, ((PetscObject)pc_temp)->prefix, "-pc_type_forced", &force, NULL));
8966: PetscCall(PetscObjectTypeCompareAny((PetscObject)pc_temp, &valid, PCBDDC, PCNN, PCHPDDM, ""));
8967: if (multilevel_requested && multilevel_allowed && !valid && !force) PetscCall(PCSetType(pc_temp, PCBDDC));
8968: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCREDUNDANT, &isredundant));
8969: if (isredundant) {
8970: KSP inner_ksp;
8971: PC inner_pc;
8973: PetscCall(PCRedundantGetKSP(pc_temp, &inner_ksp));
8974: PetscCall(KSPGetPC(inner_ksp, &inner_pc));
8975: }
8977: /* parameters which miss an API */
8978: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCBDDC, &isbddc));
8979: if (isbddc) {
8980: PC_BDDC *pcbddc_coarse = (PC_BDDC *)pc_temp->data;
8982: pcbddc_coarse->detect_disconnected = PETSC_TRUE;
8983: pcbddc_coarse->coarse_eqs_per_proc = pcbddc->coarse_eqs_per_proc;
8984: pcbddc_coarse->coarse_eqs_limit = pcbddc->coarse_eqs_limit;
8985: pcbddc_coarse->benign_saddle_point = pcbddc->benign_have_null;
8986: if (pcbddc_coarse->benign_saddle_point) {
8987: Mat coarsedivudotp_is;
8988: ISLocalToGlobalMapping l2gmap, rl2g, cl2g;
8989: IS row, col;
8990: const PetscInt *gidxs;
8991: PetscInt n, st, M, N;
8993: PetscCall(MatGetSize(coarsedivudotp, &n, NULL));
8994: PetscCallMPI(MPI_Scan(&n, &st, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)coarse_mat)));
8995: st = st - n;
8996: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)coarse_mat), 1, st, 1, &row));
8997: PetscCall(MatISGetLocalToGlobalMapping(coarse_mat, &l2gmap, NULL));
8998: PetscCall(ISLocalToGlobalMappingGetSize(l2gmap, &n));
8999: PetscCall(ISLocalToGlobalMappingGetIndices(l2gmap, &gidxs));
9000: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)coarse_mat), n, gidxs, PETSC_COPY_VALUES, &col));
9001: PetscCall(ISLocalToGlobalMappingRestoreIndices(l2gmap, &gidxs));
9002: PetscCall(ISLocalToGlobalMappingCreateIS(row, &rl2g));
9003: PetscCall(ISLocalToGlobalMappingCreateIS(col, &cl2g));
9004: PetscCall(ISGetSize(row, &M));
9005: PetscCall(MatGetSize(coarse_mat, &N, NULL));
9006: PetscCall(ISDestroy(&row));
9007: PetscCall(ISDestroy(&col));
9008: PetscCall(MatCreate(PetscObjectComm((PetscObject)coarse_mat), &coarsedivudotp_is));
9009: PetscCall(MatSetType(coarsedivudotp_is, MATIS));
9010: PetscCall(MatSetSizes(coarsedivudotp_is, PETSC_DECIDE, PETSC_DECIDE, M, N));
9011: PetscCall(MatSetLocalToGlobalMapping(coarsedivudotp_is, rl2g, cl2g));
9012: PetscCall(ISLocalToGlobalMappingDestroy(&rl2g));
9013: PetscCall(ISLocalToGlobalMappingDestroy(&cl2g));
9014: PetscCall(MatISSetLocalMat(coarsedivudotp_is, coarsedivudotp));
9015: PetscCall(MatDestroy(&coarsedivudotp));
9016: PetscCall(PCBDDCSetDivergenceMat(pc_temp, coarsedivudotp_is, PETSC_FALSE, NULL));
9017: PetscCall(MatDestroy(&coarsedivudotp_is));
9018: pcbddc_coarse->adaptive_userdefined = PETSC_TRUE;
9019: if (pcbddc->adaptive_threshold[0] == 0.0) pcbddc_coarse->deluxe_zerorows = PETSC_TRUE;
9020: }
9021: }
9023: /* propagate symmetry info of coarse matrix */
9024: PetscCall(MatSetOption(coarse_mat, MAT_STRUCTURALLY_SYMMETRIC, PETSC_TRUE));
9025: PetscCall(MatIsSymmetricKnown(pc->pmat, &isset, &issym));
9026: if (isset) PetscCall(MatSetOption(coarse_mat, MAT_SYMMETRIC, issym));
9027: PetscCall(MatIsHermitianKnown(pc->pmat, &isset, &isher));
9028: if (isset) PetscCall(MatSetOption(coarse_mat, MAT_HERMITIAN, isher));
9029: PetscCall(MatIsSPDKnown(pc->pmat, &isset, &isspd));
9030: if (isset) PetscCall(MatSetOption(coarse_mat, MAT_SPD, isspd));
9032: if (pcbddc->benign_saddle_point && !pcbddc->benign_have_null) PetscCall(MatSetOption(coarse_mat, MAT_SPD, PETSC_TRUE));
9033: /* set operators */
9034: PetscCall(MatViewFromOptions(coarse_mat, (PetscObject)pc, "-pc_bddc_coarse_mat_view"));
9035: PetscCall(MatSetOptionsPrefix(coarse_mat, ((PetscObject)pcbddc->coarse_ksp)->prefix));
9036: PetscCall(KSPSetOperators(pcbddc->coarse_ksp, coarse_mat, coarse_mat));
9037: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISubtractTab(dbg_viewer, 2 * pcbddc->current_level));
9038: }
9039: PetscCall(MatDestroy(&coarseG));
9040: PetscCall(PetscFree(isarray));
9041: #if 0
9042: {
9043: PetscViewer viewer;
9044: char filename[256];
9045: PetscCall(PetscSNPrintf(filename, PETSC_STATIC_ARRAY_LENGTH(filename), "coarse_mat_level%d.m",pcbddc->current_level));
9046: PetscCall(PetscViewerASCIIOpen(PetscObjectComm((PetscObject)coarse_mat),filename,&viewer));
9047: PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
9048: PetscCall(MatView(coarse_mat,viewer));
9049: PetscCall(PetscViewerPopFormat(viewer));
9050: PetscCall(PetscViewerDestroy(&viewer));
9051: }
9052: #endif
9054: if (corners) {
9055: Vec gv;
9056: IS is;
9057: const PetscInt *idxs;
9058: PetscInt i, d, N, n, cdim = pcbddc->mat_graph->cdim;
9059: PetscScalar *coords;
9061: PetscCheck(pcbddc->mat_graph->cloc, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Missing local coordinates");
9062: PetscCall(VecGetSize(pcbddc->coarse_vec, &N));
9063: PetscCall(VecGetLocalSize(pcbddc->coarse_vec, &n));
9064: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcbddc->coarse_vec), &gv));
9065: PetscCall(VecSetBlockSize(gv, cdim));
9066: PetscCall(VecSetSizes(gv, n * cdim, N * cdim));
9067: PetscCall(VecSetType(gv, VECSTANDARD));
9068: PetscCall(VecSetFromOptions(gv));
9069: PetscCall(VecSet(gv, PETSC_MAX_REAL)); /* we only propagate coordinates from vertices constraints */
9071: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &is));
9072: PetscCall(ISGetLocalSize(is, &n));
9073: PetscCall(ISGetIndices(is, &idxs));
9074: PetscCall(PetscMalloc1(n * cdim, &coords));
9075: for (i = 0; i < n; i++) {
9076: for (d = 0; d < cdim; d++) coords[cdim * i + d] = pcbddc->mat_graph->coords[cdim * idxs[i] + d];
9077: }
9078: PetscCall(ISRestoreIndices(is, &idxs));
9079: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &is));
9081: PetscCall(ISGetLocalSize(corners, &n));
9082: PetscCall(ISGetIndices(corners, &idxs));
9083: PetscCall(VecSetValuesBlocked(gv, n, idxs, coords, INSERT_VALUES));
9084: PetscCall(ISRestoreIndices(corners, &idxs));
9085: PetscCall(PetscFree(coords));
9086: PetscCall(VecAssemblyBegin(gv));
9087: PetscCall(VecAssemblyEnd(gv));
9088: PetscCall(VecGetArray(gv, &coords));
9089: if (pcbddc->coarse_ksp) {
9090: PC coarse_pc;
9091: PetscBool isbddc;
9093: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
9094: PetscCall(PetscObjectTypeCompare((PetscObject)coarse_pc, PCBDDC, &isbddc));
9095: if (isbddc) { /* coarse coordinates have PETSC_MAX_REAL, specific for BDDC */
9096: PetscReal *realcoords;
9098: PetscCall(VecGetLocalSize(gv, &n));
9099: #if defined(PETSC_USE_COMPLEX)
9100: PetscCall(PetscMalloc1(n, &realcoords));
9101: for (i = 0; i < n; i++) realcoords[i] = PetscRealPart(coords[i]);
9102: #else
9103: realcoords = coords;
9104: #endif
9105: PetscCall(PCSetCoordinates(coarse_pc, cdim, n / cdim, realcoords));
9106: #if defined(PETSC_USE_COMPLEX)
9107: PetscCall(PetscFree(realcoords));
9108: #endif
9109: }
9110: }
9111: PetscCall(VecRestoreArray(gv, &coords));
9112: PetscCall(VecDestroy(&gv));
9113: }
9114: PetscCall(ISDestroy(&corners));
9116: if (pcbddc->coarse_ksp) {
9117: Vec crhs, csol;
9119: PetscCall(KSPGetSolution(pcbddc->coarse_ksp, &csol));
9120: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &crhs));
9121: if (!csol) PetscCall(MatCreateVecs(coarse_mat, &pcbddc->coarse_ksp->vec_sol, NULL));
9122: if (!crhs) PetscCall(MatCreateVecs(coarse_mat, NULL, &pcbddc->coarse_ksp->vec_rhs));
9123: }
9124: PetscCall(MatDestroy(&coarsedivudotp));
9126: /* compute null space for coarse solver if the benign trick has been requested */
9127: if (pcbddc->benign_null) {
9128: PetscCall(VecSet(pcbddc->vec1_P, 0.));
9129: 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));
9130: PetscCall(VecAssemblyBegin(pcbddc->vec1_P));
9131: PetscCall(VecAssemblyEnd(pcbddc->vec1_P));
9132: PetscCall(VecScatterBegin(pcbddc->coarse_loc_to_glob, pcbddc->vec1_P, pcbddc->coarse_vec, INSERT_VALUES, SCATTER_FORWARD));
9133: PetscCall(VecScatterEnd(pcbddc->coarse_loc_to_glob, pcbddc->vec1_P, pcbddc->coarse_vec, INSERT_VALUES, SCATTER_FORWARD));
9134: if (coarse_mat) {
9135: Vec nullv;
9136: PetscScalar *array, *array2;
9137: PetscInt nl;
9139: PetscCall(MatCreateVecs(coarse_mat, &nullv, NULL));
9140: PetscCall(VecGetLocalSize(nullv, &nl));
9141: PetscCall(VecGetArrayRead(pcbddc->coarse_vec, (const PetscScalar **)&array));
9142: PetscCall(VecGetArray(nullv, &array2));
9143: PetscCall(PetscArraycpy(array2, array, nl));
9144: PetscCall(VecRestoreArray(nullv, &array2));
9145: PetscCall(VecRestoreArrayRead(pcbddc->coarse_vec, (const PetscScalar **)&array));
9146: PetscCall(VecNormalize(nullv, NULL));
9147: PetscCall(MatNullSpaceCreate(PetscObjectComm((PetscObject)coarse_mat), PETSC_FALSE, 1, &nullv, &CoarseNullSpace));
9148: PetscCall(VecDestroy(&nullv));
9149: }
9150: }
9151: PetscCall(PetscLogEventEnd(PC_BDDC_CoarseSetUp[pcbddc->current_level], pc, 0, 0, 0));
9153: PetscCall(PetscLogEventBegin(PC_BDDC_CoarseSolver[pcbddc->current_level], pc, 0, 0, 0));
9154: if (pcbddc->coarse_ksp) {
9155: PetscBool ispreonly;
9157: if (CoarseNullSpace) {
9158: PetscBool isnull;
9160: PetscCall(MatNullSpaceTest(CoarseNullSpace, coarse_mat, &isnull));
9161: if (isnull) PetscCall(MatSetNullSpace(coarse_mat, CoarseNullSpace));
9162: /* TODO: add local nullspaces (if any) */
9163: }
9164: /* setup coarse ksp */
9165: PetscCall(KSPSetUp(pcbddc->coarse_ksp));
9166: /* Check coarse problem if in debug mode or if solving with an iterative method */
9167: PetscCall(PetscObjectTypeCompare((PetscObject)pcbddc->coarse_ksp, KSPPREONLY, &ispreonly));
9168: if (pcbddc->dbg_flag || (!ispreonly && pcbddc->use_coarse_estimates)) {
9169: KSP check_ksp;
9170: KSPType check_ksp_type;
9171: PC check_pc;
9172: Vec check_vec, coarse_vec;
9173: PetscReal abs_infty_error, infty_error, lambda_min = 1.0, lambda_max = 1.0;
9174: PetscInt its;
9175: PetscBool compute_eigs;
9176: PetscReal *eigs_r, *eigs_c;
9177: PetscInt neigs;
9178: const char *prefix;
9180: /* Create ksp object suitable for estimation of extreme eigenvalues */
9181: PetscCall(KSPCreate(PetscObjectComm((PetscObject)pcbddc->coarse_ksp), &check_ksp));
9182: PetscCall(KSPSetNestLevel(check_ksp, pc->kspnestlevel));
9183: PetscCall(PetscObjectIncrementTabLevel((PetscObject)check_ksp, (PetscObject)pcbddc->coarse_ksp, 0));
9184: PetscCall(KSPSetErrorIfNotConverged(pcbddc->coarse_ksp, PETSC_FALSE));
9185: PetscCall(KSPSetOperators(check_ksp, coarse_mat, coarse_mat));
9186: PetscCall(KSPSetTolerances(check_ksp, 1.e-12, 1.e-12, PETSC_CURRENT, pcbddc->coarse_size));
9187: /* prevent from setup unneeded object */
9188: PetscCall(KSPGetPC(check_ksp, &check_pc));
9189: PetscCall(PCSetType(check_pc, PCNONE));
9190: if (ispreonly) {
9191: check_ksp_type = KSPPREONLY;
9192: compute_eigs = PETSC_FALSE;
9193: } else {
9194: check_ksp_type = KSPGMRES;
9195: compute_eigs = PETSC_TRUE;
9196: }
9197: PetscCall(KSPSetType(check_ksp, check_ksp_type));
9198: PetscCall(KSPSetComputeSingularValues(check_ksp, compute_eigs));
9199: PetscCall(KSPSetComputeEigenvalues(check_ksp, compute_eigs));
9200: PetscCall(KSPGMRESSetRestart(check_ksp, pcbddc->coarse_size + 1));
9201: PetscCall(KSPGetOptionsPrefix(pcbddc->coarse_ksp, &prefix));
9202: PetscCall(KSPSetOptionsPrefix(check_ksp, prefix));
9203: PetscCall(KSPAppendOptionsPrefix(check_ksp, "check_"));
9204: PetscCall(KSPSetFromOptions(check_ksp));
9205: PetscCall(KSPSetUp(check_ksp));
9206: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &check_pc));
9207: PetscCall(KSPSetPC(check_ksp, check_pc));
9208: /* create random vec */
9209: PetscCall(MatCreateVecs(coarse_mat, &coarse_vec, &check_vec));
9210: PetscCall(VecSetRandom(check_vec, NULL));
9211: PetscCall(MatMult(coarse_mat, check_vec, coarse_vec));
9212: /* solve coarse problem */
9213: PetscCall(KSPSolve(check_ksp, coarse_vec, coarse_vec));
9214: PetscCall(KSPCheckSolve(check_ksp, pc, coarse_vec));
9215: /* set eigenvalue estimation if preonly has not been requested */
9216: if (compute_eigs) {
9217: PetscCall(PetscMalloc1(pcbddc->coarse_size + 1, &eigs_r));
9218: PetscCall(PetscMalloc1(pcbddc->coarse_size + 1, &eigs_c));
9219: PetscCall(KSPComputeEigenvalues(check_ksp, pcbddc->coarse_size + 1, eigs_r, eigs_c, &neigs));
9220: if (neigs) {
9221: lambda_max = eigs_r[neigs - 1];
9222: lambda_min = eigs_r[0];
9223: if (pcbddc->use_coarse_estimates) {
9224: if (lambda_max >= lambda_min) { /* using PETSC_SMALL since lambda_max == lambda_min is not allowed by KSPChebyshevSetEigenvalues */
9225: PetscCall(KSPChebyshevSetEigenvalues(pcbddc->coarse_ksp, lambda_max + PETSC_SMALL, lambda_min));
9226: PetscCall(KSPRichardsonSetScale(pcbddc->coarse_ksp, 2.0 / (lambda_max + lambda_min)));
9227: }
9228: }
9229: }
9230: }
9232: /* check coarse problem residual error */
9233: if (pcbddc->dbg_flag) {
9234: PetscViewer dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pcbddc->coarse_ksp));
9235: PetscCall(PetscViewerASCIIAddTab(dbg_viewer, 2 * (pcbddc->current_level + 1)));
9236: PetscCall(VecAXPY(check_vec, -1.0, coarse_vec));
9237: PetscCall(VecNorm(check_vec, NORM_INFINITY, &infty_error));
9238: PetscCall(MatMult(coarse_mat, check_vec, coarse_vec));
9239: PetscCall(VecNorm(coarse_vec, NORM_INFINITY, &abs_infty_error));
9240: PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem details (use estimates %d)\n", pcbddc->use_coarse_estimates));
9241: PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)pcbddc->coarse_ksp, dbg_viewer));
9242: PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)check_pc, dbg_viewer));
9243: PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem exact infty_error : %1.6e\n", (double)infty_error));
9244: PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem residual infty_error: %1.6e\n", (double)abs_infty_error));
9245: if (CoarseNullSpace) PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem is singular\n"));
9246: if (compute_eigs) {
9247: PetscReal lambda_max_s, lambda_min_s;
9248: KSPConvergedReason reason;
9249: PetscCall(KSPGetType(check_ksp, &check_ksp_type));
9250: PetscCall(KSPGetIterationNumber(check_ksp, &its));
9251: PetscCall(KSPGetConvergedReason(check_ksp, &reason));
9252: PetscCall(KSPComputeExtremeSingularValues(check_ksp, &lambda_max_s, &lambda_min_s));
9253: 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));
9254: for (i = 0; i < neigs; i++) PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "%1.6e %1.6ei\n", (double)eigs_r[i], (double)eigs_c[i]));
9255: }
9256: PetscCall(PetscViewerFlush(dbg_viewer));
9257: PetscCall(PetscViewerASCIISubtractTab(dbg_viewer, 2 * (pcbddc->current_level + 1)));
9258: }
9259: PetscCall(VecDestroy(&check_vec));
9260: PetscCall(VecDestroy(&coarse_vec));
9261: PetscCall(KSPDestroy(&check_ksp));
9262: if (compute_eigs) {
9263: PetscCall(PetscFree(eigs_r));
9264: PetscCall(PetscFree(eigs_c));
9265: }
9266: }
9267: }
9268: PetscCall(MatNullSpaceDestroy(&CoarseNullSpace));
9269: /* print additional info */
9270: if (pcbddc->dbg_flag) {
9271: /* waits until all processes reaches this point */
9272: PetscCall(PetscBarrier((PetscObject)pc));
9273: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Coarse solver setup completed at level %" PetscInt_FMT "\n", pcbddc->current_level));
9274: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9275: }
9277: /* free memory */
9278: PetscCall(MatDestroy(&coarse_mat));
9279: PetscCall(PetscLogEventEnd(PC_BDDC_CoarseSolver[pcbddc->current_level], pc, 0, 0, 0));
9280: PetscFunctionReturn(PETSC_SUCCESS);
9281: }
9283: PetscErrorCode PCBDDCComputePrimalNumbering(PC pc, PetscInt *coarse_size_n, PetscInt **local_primal_indices_n)
9284: {
9285: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9286: PC_IS *pcis = (PC_IS *)pc->data;
9287: IS subset, subset_mult, subset_n;
9288: PetscInt local_size, coarse_size = 0;
9289: PetscInt *local_primal_indices = NULL;
9290: const PetscInt *t_local_primal_indices;
9292: PetscFunctionBegin;
9293: /* Compute global number of coarse dofs */
9294: PetscCheck(!pcbddc->local_primal_size || pcbddc->local_primal_ref_node, PETSC_COMM_SELF, PETSC_ERR_PLIB, "BDDC ConstraintsSetUp should be called first");
9295: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc->pmat), pcbddc->local_primal_size_cc, pcbddc->local_primal_ref_node, PETSC_COPY_VALUES, &subset_n));
9296: PetscCall(ISLocalToGlobalMappingApplyIS(pcis->mapping, subset_n, &subset));
9297: PetscCall(ISDestroy(&subset_n));
9298: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc->pmat), pcbddc->local_primal_size_cc, pcbddc->local_primal_ref_mult, PETSC_COPY_VALUES, &subset_mult));
9299: PetscCall(ISRenumber(subset, subset_mult, &coarse_size, &subset_n));
9300: PetscCall(ISDestroy(&subset));
9301: PetscCall(ISDestroy(&subset_mult));
9302: PetscCall(ISGetLocalSize(subset_n, &local_size));
9303: 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);
9304: PetscCall(PetscMalloc1(local_size, &local_primal_indices));
9305: PetscCall(ISGetIndices(subset_n, &t_local_primal_indices));
9306: PetscCall(PetscArraycpy(local_primal_indices, t_local_primal_indices, local_size));
9307: PetscCall(ISRestoreIndices(subset_n, &t_local_primal_indices));
9308: PetscCall(ISDestroy(&subset_n));
9310: if (pcbddc->dbg_flag) {
9311: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9312: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
9313: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Size of coarse problem is %" PetscInt_FMT "\n", coarse_size));
9314: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9315: }
9317: /* get back data */
9318: *coarse_size_n = coarse_size;
9319: *local_primal_indices_n = local_primal_indices;
9320: PetscFunctionReturn(PETSC_SUCCESS);
9321: }
9323: PetscErrorCode PCBDDCGlobalToLocal(VecScatter g2l_ctx, Vec gwork, Vec lwork, IS globalis, IS *localis)
9324: {
9325: IS localis_t;
9326: PetscInt i, lsize, *idxs, n;
9327: PetscScalar *vals;
9329: PetscFunctionBegin;
9330: /* get indices in local ordering exploiting local to global map */
9331: PetscCall(ISGetLocalSize(globalis, &lsize));
9332: PetscCall(PetscMalloc1(lsize, &vals));
9333: for (i = 0; i < lsize; i++) vals[i] = 1.0;
9334: PetscCall(ISGetIndices(globalis, (const PetscInt **)&idxs));
9335: PetscCall(VecSet(gwork, 0.0));
9336: PetscCall(VecSet(lwork, 0.0));
9337: if (idxs) { /* multilevel guard */
9338: PetscCall(VecSetOption(gwork, VEC_IGNORE_NEGATIVE_INDICES, PETSC_TRUE));
9339: PetscCall(VecSetValues(gwork, lsize, idxs, vals, INSERT_VALUES));
9340: }
9341: PetscCall(VecAssemblyBegin(gwork));
9342: PetscCall(ISRestoreIndices(globalis, (const PetscInt **)&idxs));
9343: PetscCall(PetscFree(vals));
9344: PetscCall(VecAssemblyEnd(gwork));
9345: /* now compute set in local ordering */
9346: PetscCall(VecScatterBegin(g2l_ctx, gwork, lwork, INSERT_VALUES, SCATTER_FORWARD));
9347: PetscCall(VecScatterEnd(g2l_ctx, gwork, lwork, INSERT_VALUES, SCATTER_FORWARD));
9348: PetscCall(VecGetArrayRead(lwork, (const PetscScalar **)&vals));
9349: PetscCall(VecGetSize(lwork, &n));
9350: for (i = 0, lsize = 0; i < n; i++) {
9351: if (PetscRealPart(vals[i]) > 0.5) lsize++;
9352: }
9353: PetscCall(PetscMalloc1(lsize, &idxs));
9354: for (i = 0, lsize = 0; i < n; i++) {
9355: if (PetscRealPart(vals[i]) > 0.5) idxs[lsize++] = i;
9356: }
9357: PetscCall(VecRestoreArrayRead(lwork, (const PetscScalar **)&vals));
9358: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)gwork), lsize, idxs, PETSC_OWN_POINTER, &localis_t));
9359: *localis = localis_t;
9360: PetscFunctionReturn(PETSC_SUCCESS);
9361: }
9363: PetscErrorCode PCBDDCComputeFakeChange(PC pc, PetscBool constraints, PCBDDCGraph graph, PCBDDCSubSchurs schurs, Mat *change, IS *change_primal, IS *change_primal_mult, PetscBool *change_with_qr)
9364: {
9365: PC_IS *pcis = (PC_IS *)pc->data;
9366: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9367: PC_IS *pcisf;
9368: PC_BDDC *pcbddcf;
9369: PC pcf;
9371: PetscFunctionBegin;
9372: PetscCall(PCCreate(PetscObjectComm((PetscObject)pc), &pcf));
9373: PetscCall(PCSetOperators(pcf, pc->mat, pc->pmat));
9374: PetscCall(PCSetType(pcf, PCBDDC));
9376: pcisf = (PC_IS *)pcf->data;
9377: pcbddcf = (PC_BDDC *)pcf->data;
9379: pcisf->is_B_local = pcis->is_B_local;
9380: pcisf->vec1_N = pcis->vec1_N;
9381: pcisf->BtoNmap = pcis->BtoNmap;
9382: pcisf->n = pcis->n;
9383: pcisf->n_B = pcis->n_B;
9385: PetscCall(PetscFree(pcbddcf->mat_graph));
9386: PetscCall(PetscFree(pcbddcf->sub_schurs));
9387: pcbddcf->mat_graph = graph ? graph : pcbddc->mat_graph;
9388: pcbddcf->sub_schurs = schurs;
9389: pcbddcf->adaptive_selection = schurs ? PETSC_TRUE : PETSC_FALSE;
9390: pcbddcf->adaptive_threshold[0] = pcbddc->adaptive_threshold[0];
9391: pcbddcf->adaptive_threshold[1] = pcbddc->adaptive_threshold[1];
9392: pcbddcf->adaptive_nmin = pcbddc->adaptive_nmin;
9393: pcbddcf->adaptive_nmax = pcbddc->adaptive_nmax;
9394: pcbddcf->use_faces = PETSC_TRUE;
9395: pcbddcf->use_change_of_basis = (PetscBool)!constraints;
9396: pcbddcf->use_change_on_faces = (PetscBool)!constraints;
9397: pcbddcf->use_qr_single = (PetscBool)!constraints;
9398: pcbddcf->fake_change = PETSC_TRUE;
9399: pcbddcf->dbg_flag = pcbddc->dbg_flag;
9401: PetscCall(PCBDDCAdaptiveSelection(pcf));
9402: PetscCall(PCBDDCConstraintsSetUp(pcf));
9404: *change = pcbddcf->ConstraintMatrix;
9405: if (change_primal) PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc->pmat), pcbddcf->local_primal_size_cc, pcbddcf->local_primal_ref_node, PETSC_COPY_VALUES, change_primal));
9406: 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));
9407: if (change_with_qr) *change_with_qr = pcbddcf->use_qr_single;
9409: if (schurs) pcbddcf->sub_schurs = NULL;
9410: pcbddcf->ConstraintMatrix = NULL;
9411: pcbddcf->mat_graph = NULL;
9412: pcisf->is_B_local = NULL;
9413: pcisf->vec1_N = NULL;
9414: pcisf->BtoNmap = NULL;
9415: PetscCall(PCDestroy(&pcf));
9416: PetscFunctionReturn(PETSC_SUCCESS);
9417: }
9419: PetscErrorCode PCBDDCSetUpSubSchurs(PC pc)
9420: {
9421: PC_IS *pcis = (PC_IS *)pc->data;
9422: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9423: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
9424: Mat S_j;
9425: PetscInt *used_xadj, *used_adjncy;
9426: PetscBool free_used_adj;
9428: PetscFunctionBegin;
9429: PetscCall(PetscLogEventBegin(PC_BDDC_Schurs[pcbddc->current_level], pc, 0, 0, 0));
9430: /* decide the adjacency to be used for determining internal problems for local schur on subsets */
9431: free_used_adj = PETSC_FALSE;
9432: if (pcbddc->sub_schurs_layers == -1) {
9433: used_xadj = NULL;
9434: used_adjncy = NULL;
9435: } else {
9436: if (pcbddc->sub_schurs_use_useradj && pcbddc->mat_graph->xadj) {
9437: used_xadj = pcbddc->mat_graph->xadj;
9438: used_adjncy = pcbddc->mat_graph->adjncy;
9439: } else if (pcbddc->computed_rowadj) {
9440: used_xadj = pcbddc->mat_graph->xadj;
9441: used_adjncy = pcbddc->mat_graph->adjncy;
9442: } else {
9443: PetscBool flg_row = PETSC_FALSE;
9444: const PetscInt *xadj, *adjncy;
9445: PetscInt nvtxs;
9447: PetscCall(MatGetRowIJ(pcbddc->local_mat, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, &xadj, &adjncy, &flg_row));
9448: if (flg_row) {
9449: PetscCall(PetscMalloc2(nvtxs + 1, &used_xadj, xadj[nvtxs], &used_adjncy));
9450: PetscCall(PetscArraycpy(used_xadj, xadj, nvtxs + 1));
9451: PetscCall(PetscArraycpy(used_adjncy, adjncy, xadj[nvtxs]));
9452: free_used_adj = PETSC_TRUE;
9453: } else {
9454: pcbddc->sub_schurs_layers = -1;
9455: used_xadj = NULL;
9456: used_adjncy = NULL;
9457: }
9458: PetscCall(MatRestoreRowIJ(pcbddc->local_mat, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, &xadj, &adjncy, &flg_row));
9459: }
9460: }
9462: /* setup sub_schurs data */
9463: PetscCall(MatCreateSchurComplement(pcis->A_II, pcis->pA_II, pcis->A_IB, pcis->A_BI, pcis->A_BB, &S_j));
9464: if (!sub_schurs->schur_explicit) {
9465: /* pcbddc->ksp_D up to date only if not using MatFactor with Schur complement support */
9466: PetscCall(MatSchurComplementSetKSP(S_j, pcbddc->ksp_D));
9467: 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));
9468: } else {
9469: Mat change = NULL;
9470: Vec scaling = NULL;
9471: IS change_primal = NULL, iP;
9472: PetscInt benign_n;
9473: PetscBool reuse_solvers = (PetscBool)!pcbddc->use_change_of_basis;
9474: PetscBool need_change = PETSC_FALSE;
9475: PetscBool discrete_harmonic = PETSC_FALSE;
9477: if (!pcbddc->use_vertices && reuse_solvers) {
9478: PetscInt n_vertices;
9480: PetscCall(ISGetLocalSize(sub_schurs->is_vertices, &n_vertices));
9481: reuse_solvers = (PetscBool)!n_vertices;
9482: }
9483: if (!pcbddc->benign_change_explicit) {
9484: benign_n = pcbddc->benign_n;
9485: } else {
9486: benign_n = 0;
9487: }
9488: /* sub_schurs->change is a local object; instead, PCBDDCConstraintsSetUp and the quantities used in the test below are logically collective on pc.
9489: We need a global reduction to avoid possible deadlocks.
9490: We assume that sub_schurs->change is created once, and then reused for different solves, unless the topography has been recomputed */
9491: if (pcbddc->adaptive_userdefined || (pcbddc->deluxe_zerorows && !pcbddc->use_change_of_basis)) {
9492: PetscBool have_loc_change = (PetscBool)(!!sub_schurs->change);
9493: PetscCallMPI(MPIU_Allreduce(&have_loc_change, &need_change, 1, MPI_C_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
9494: need_change = (PetscBool)(!need_change);
9495: }
9496: /* If the user defines additional constraints, we import them here */
9497: if (need_change) {
9498: PetscCheck(!pcbddc->sub_schurs_rebuild, PETSC_COMM_SELF, PETSC_ERR_SUP, "Cannot compute change of basis with a different graph");
9499: PetscCall(PCBDDCComputeFakeChange(pc, PETSC_FALSE, NULL, NULL, &change, &change_primal, NULL, &sub_schurs->change_with_qr));
9500: }
9501: if (!pcbddc->use_deluxe_scaling) scaling = pcis->D;
9503: PetscCall(PetscObjectQuery((PetscObject)pc, "__KSPFETIDP_iP", (PetscObject *)&iP));
9504: if (iP) {
9505: PetscOptionsBegin(PetscObjectComm((PetscObject)iP), sub_schurs->prefix, "BDDC sub_schurs options", "PC");
9506: PetscCall(PetscOptionsBool("-sub_schurs_discrete_harmonic", NULL, NULL, discrete_harmonic, &discrete_harmonic, NULL));
9507: PetscOptionsEnd();
9508: }
9509: if (discrete_harmonic) {
9510: Mat A;
9511: PetscCall(MatDuplicate(pcbddc->local_mat, MAT_COPY_VALUES, &A));
9512: PetscCall(MatZeroRowsColumnsIS(A, iP, 1.0, NULL, NULL));
9513: PetscCall(PetscObjectCompose((PetscObject)A, "__KSPFETIDP_iP", (PetscObject)iP));
9514: 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,
9515: pcbddc->benign_zerodiag_subs, change, change_primal));
9516: PetscCall(MatDestroy(&A));
9517: } else {
9518: 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,
9519: pcbddc->benign_p0_lidx, pcbddc->benign_zerodiag_subs, change, change_primal));
9520: }
9521: PetscCall(MatDestroy(&change));
9522: PetscCall(ISDestroy(&change_primal));
9523: }
9524: PetscCall(MatDestroy(&S_j));
9526: /* free adjacency */
9527: if (free_used_adj) PetscCall(PetscFree2(used_xadj, used_adjncy));
9528: PetscCall(PetscLogEventEnd(PC_BDDC_Schurs[pcbddc->current_level], pc, 0, 0, 0));
9529: PetscFunctionReturn(PETSC_SUCCESS);
9530: }
9532: PetscErrorCode PCBDDCInitSubSchurs(PC pc)
9533: {
9534: PC_IS *pcis = (PC_IS *)pc->data;
9535: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9536: PCBDDCGraph graph;
9538: PetscFunctionBegin;
9539: /* attach interface graph for determining subsets */
9540: if (pcbddc->sub_schurs_rebuild) { /* in case rebuild has been requested, it uses a graph generated only by the neighbouring information */
9541: IS verticesIS, verticescomm;
9542: PetscInt vsize, *idxs;
9544: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &verticesIS));
9545: PetscCall(ISGetSize(verticesIS, &vsize));
9546: PetscCall(ISGetIndices(verticesIS, (const PetscInt **)&idxs));
9547: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), vsize, idxs, PETSC_COPY_VALUES, &verticescomm));
9548: PetscCall(ISRestoreIndices(verticesIS, (const PetscInt **)&idxs));
9549: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &verticesIS));
9550: PetscCall(PCBDDCGraphCreate(&graph));
9551: PetscCall(PCBDDCGraphInit(graph, pcbddc->mat_graph->l2gmap, pcbddc->mat_graph->nvtxs_global, pcbddc->graphmaxcount));
9552: PetscCall(PCBDDCGraphSetUp(graph, pcbddc->mat_graph->custom_minimal_size, NULL, pcbddc->DirichletBoundariesLocal, 0, NULL, verticescomm));
9553: PetscCall(ISDestroy(&verticescomm));
9554: PetscCall(PCBDDCGraphComputeConnectedComponents(graph));
9555: } else {
9556: graph = pcbddc->mat_graph;
9557: }
9558: /* print some info */
9559: if (pcbddc->dbg_flag && !pcbddc->sub_schurs_rebuild) {
9560: IS vertices;
9561: PetscInt nv, nedges, nfaces;
9562: PetscCall(PCBDDCGraphASCIIView(graph, pcbddc->dbg_flag, pcbddc->dbg_viewer));
9563: PetscCall(PCBDDCGraphGetCandidatesIS(graph, &nfaces, NULL, &nedges, NULL, &vertices));
9564: PetscCall(ISGetSize(vertices, &nv));
9565: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
9566: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "--------------------------------------------------------------\n"));
9567: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate vertices (%d)\n", PetscGlobalRank, nv, pcbddc->use_vertices));
9568: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate edges (%d)\n", PetscGlobalRank, nedges, pcbddc->use_edges));
9569: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate faces (%d)\n", PetscGlobalRank, nfaces, pcbddc->use_faces));
9570: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9571: PetscCall(PetscViewerASCIIPopSynchronized(pcbddc->dbg_viewer));
9572: PetscCall(PCBDDCGraphRestoreCandidatesIS(graph, &nfaces, NULL, &nedges, NULL, &vertices));
9573: }
9575: /* sub_schurs init */
9576: if (!pcbddc->sub_schurs) PetscCall(PCBDDCSubSchursCreate(&pcbddc->sub_schurs));
9577: 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));
9579: /* free graph struct */
9580: if (pcbddc->sub_schurs_rebuild) PetscCall(PCBDDCGraphDestroy(&graph));
9581: PetscFunctionReturn(PETSC_SUCCESS);
9582: }
9584: static PetscErrorCode PCBDDCViewGlobalIS(PC pc, IS is, PetscViewer viewer)
9585: {
9586: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
9587: PetscInt n = pc->pmat->rmap->n, ln, ni, st;
9588: const PetscInt *idxs;
9589: IS gis;
9591: PetscFunctionBegin;
9592: if (!is) PetscFunctionReturn(PETSC_SUCCESS);
9593: PetscCall(MatGetOwnershipRange(pc->pmat, &st, NULL));
9594: PetscCall(MatGetLocalSize(matis->A, NULL, &ln));
9595: PetscCall(PetscArrayzero(matis->sf_leafdata, ln));
9596: PetscCall(PetscArrayzero(matis->sf_rootdata, n));
9597: PetscCall(ISGetLocalSize(is, &ni));
9598: PetscCall(ISGetIndices(is, &idxs));
9599: for (PetscInt i = 0; i < ni; i++) {
9600: if (idxs[i] < 0 || idxs[i] >= ln) continue;
9601: matis->sf_leafdata[idxs[i]] = 1;
9602: }
9603: PetscCall(ISRestoreIndices(is, &idxs));
9604: PetscCall(PetscSFReduceBegin(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, MPI_SUM));
9605: PetscCall(PetscSFReduceEnd(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, MPI_SUM));
9606: ln = 0;
9607: for (PetscInt i = 0; i < n; i++) {
9608: if (matis->sf_rootdata[i]) matis->sf_rootdata[ln++] = i + st;
9609: }
9610: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), ln, matis->sf_rootdata, PETSC_USE_POINTER, &gis));
9611: PetscCall(ISView(gis, viewer));
9612: PetscCall(ISDestroy(&gis));
9613: PetscFunctionReturn(PETSC_SUCCESS);
9614: }
9616: PetscErrorCode PCBDDCLoadOrViewCustomization(PC pc, PetscBool load, const char *outfile)
9617: {
9618: PetscInt header[11];
9619: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9620: PetscViewer viewer;
9621: MPI_Comm comm = PetscObjectComm((PetscObject)pc);
9623: PetscFunctionBegin;
9624: PetscCall(PetscViewerBinaryOpen(comm, outfile ? outfile : "bddc_dump.dat", load ? FILE_MODE_READ : FILE_MODE_WRITE, &viewer));
9625: if (load) {
9626: IS is;
9627: Mat A;
9629: PetscCall(PetscViewerBinaryRead(viewer, header, PETSC_STATIC_ARRAY_LENGTH(header), NULL, PETSC_INT));
9630: PetscCheck(header[0] == 0 || header[0] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9631: PetscCheck(header[1] == 0 || header[1] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9632: PetscCheck(header[2] >= 0, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9633: PetscCheck(header[3] == 0 || header[3] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9634: PetscCheck(header[4] == 0 || header[4] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9635: PetscCheck(header[5] >= 0, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9636: PetscCheck(header[7] == 0 || header[7] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9637: PetscCheck(header[8] == 0 || header[8] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9638: PetscCheck(header[9] == 0 || header[9] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9639: PetscCheck(header[10] == 0 || header[10] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9640: if (header[0]) {
9641: PetscCall(ISCreate(comm, &is));
9642: PetscCall(ISLoad(is, viewer));
9643: PetscCall(PCBDDCSetDirichletBoundaries(pc, is));
9644: PetscCall(ISDestroy(&is));
9645: }
9646: if (header[1]) {
9647: PetscCall(ISCreate(comm, &is));
9648: PetscCall(ISLoad(is, viewer));
9649: PetscCall(PCBDDCSetNeumannBoundaries(pc, is));
9650: PetscCall(ISDestroy(&is));
9651: }
9652: if (header[2]) {
9653: IS *isarray;
9655: PetscCall(PetscMalloc1(header[2], &isarray));
9656: for (PetscInt i = 0; i < header[2]; i++) {
9657: PetscCall(ISCreate(comm, &isarray[i]));
9658: PetscCall(ISLoad(isarray[i], viewer));
9659: }
9660: PetscCall(PCBDDCSetDofsSplitting(pc, header[2], isarray));
9661: for (PetscInt i = 0; i < header[2]; i++) PetscCall(ISDestroy(&isarray[i]));
9662: PetscCall(PetscFree(isarray));
9663: }
9664: if (header[3]) {
9665: PetscCall(ISCreate(comm, &is));
9666: PetscCall(ISLoad(is, viewer));
9667: PetscCall(PCBDDCSetPrimalVerticesIS(pc, is));
9668: PetscCall(ISDestroy(&is));
9669: }
9670: if (header[4]) {
9671: PetscCall(MatCreate(comm, &A));
9672: PetscCall(MatSetType(A, MATAIJ));
9673: PetscCall(MatLoad(A, viewer));
9674: PetscCall(PCBDDCSetDiscreteGradient(pc, A, header[5], header[6], (PetscBool)header[7], (PetscBool)header[8]));
9675: PetscCall(MatDestroy(&A));
9676: }
9677: if (header[9]) {
9678: PetscCall(MatCreate(comm, &A));
9679: PetscCall(MatSetType(A, MATIS));
9680: PetscCall(MatLoad(A, viewer));
9681: PetscCall(PCBDDCSetDivergenceMat(pc, A, (PetscBool)header[10], NULL));
9682: PetscCall(MatDestroy(&A));
9683: }
9684: } else {
9685: header[0] = (PetscInt)!!pcbddc->DirichletBoundariesLocal;
9686: header[1] = (PetscInt)!!pcbddc->NeumannBoundariesLocal;
9687: header[2] = pcbddc->n_ISForDofsLocal;
9688: header[3] = (PetscInt)!!pcbddc->user_primal_vertices_local;
9689: header[4] = (PetscInt)!!pcbddc->discretegradient;
9690: header[5] = pcbddc->nedorder;
9691: header[6] = pcbddc->nedfield;
9692: header[7] = (PetscInt)pcbddc->nedglobal;
9693: header[8] = (PetscInt)pcbddc->conforming;
9694: header[9] = (PetscInt)!!pcbddc->divudotp;
9695: header[10] = (PetscInt)pcbddc->divudotp_trans;
9696: if (header[4]) header[3] = 0;
9698: PetscCall(PetscViewerBinaryWrite(viewer, header, PETSC_STATIC_ARRAY_LENGTH(header), PETSC_INT));
9699: PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->DirichletBoundariesLocal, viewer));
9700: PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->NeumannBoundariesLocal, viewer));
9701: for (PetscInt i = 0; i < header[2]; i++) PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->ISForDofsLocal[i], viewer));
9702: if (header[3]) PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->user_primal_vertices_local, viewer));
9703: if (header[4]) PetscCall(MatView(pcbddc->discretegradient, viewer));
9704: if (header[9]) PetscCall(MatView(pcbddc->divudotp, viewer));
9705: }
9706: PetscCall(PetscViewerDestroy(&viewer));
9707: PetscFunctionReturn(PETSC_SUCCESS);
9708: }
9710: #include <../src/mat/impls/aij/mpi/mpiaij.h>
9711: static PetscErrorCode MatMPIAIJRestrict(Mat A, MPI_Comm ccomm, Mat *B)
9712: {
9713: Mat At;
9714: IS rows;
9715: PetscInt rst, ren;
9716: PetscLayout rmap;
9718: PetscFunctionBegin;
9719: rst = ren = 0;
9720: if (ccomm != MPI_COMM_NULL) {
9721: PetscCall(PetscLayoutCreate(ccomm, &rmap));
9722: PetscCall(PetscLayoutSetSize(rmap, A->rmap->N));
9723: PetscCall(PetscLayoutSetBlockSize(rmap, 1));
9724: PetscCall(PetscLayoutSetUp(rmap));
9725: PetscCall(PetscLayoutGetRange(rmap, &rst, &ren));
9726: }
9727: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)A), ren - rst, rst, 1, &rows));
9728: PetscCall(MatCreateSubMatrix(A, rows, NULL, MAT_INITIAL_MATRIX, &At));
9729: PetscCall(ISDestroy(&rows));
9731: if (ccomm != MPI_COMM_NULL) {
9732: Mat_MPIAIJ *a, *b;
9733: IS from, to;
9734: Vec gvec;
9735: PetscInt lsize;
9737: PetscCall(MatCreate(ccomm, B));
9738: PetscCall(MatSetSizes(*B, ren - rst, PETSC_DECIDE, PETSC_DECIDE, At->cmap->N));
9739: PetscCall(MatSetType(*B, MATAIJ));
9740: PetscCall(PetscLayoutDestroy(&(*B)->rmap));
9741: PetscCall(PetscLayoutSetUp((*B)->cmap));
9742: a = (Mat_MPIAIJ *)At->data;
9743: b = (Mat_MPIAIJ *)(*B)->data;
9744: PetscCallMPI(MPI_Comm_size(ccomm, &b->size));
9745: PetscCallMPI(MPI_Comm_rank(ccomm, &b->rank));
9746: PetscCall(PetscObjectReference((PetscObject)a->A));
9747: PetscCall(PetscObjectReference((PetscObject)a->B));
9748: b->A = a->A;
9749: b->B = a->B;
9751: b->donotstash = a->donotstash;
9752: b->roworiented = a->roworiented;
9753: b->rowindices = NULL;
9754: b->rowvalues = NULL;
9755: b->getrowactive = PETSC_FALSE;
9757: (*B)->rmap = rmap;
9758: (*B)->factortype = A->factortype;
9759: (*B)->assembled = PETSC_TRUE;
9760: (*B)->insertmode = NOT_SET_VALUES;
9761: (*B)->preallocated = PETSC_TRUE;
9763: if (a->colmap) {
9764: #if defined(PETSC_USE_CTABLE)
9765: PetscCall(PetscHMapIDuplicate(a->colmap, &b->colmap));
9766: #else
9767: PetscCall(PetscMalloc1(At->cmap->N, &b->colmap));
9768: PetscCall(PetscArraycpy(b->colmap, a->colmap, At->cmap->N));
9769: #endif
9770: } else b->colmap = NULL;
9771: if (a->garray) {
9772: PetscInt len;
9773: len = a->B->cmap->n;
9774: PetscCall(PetscMalloc1(len + 1, &b->garray));
9775: if (len) PetscCall(PetscArraycpy(b->garray, a->garray, len));
9776: } else b->garray = NULL;
9778: PetscCall(PetscObjectReference((PetscObject)a->lvec));
9779: b->lvec = a->lvec;
9781: /* cannot use VecScatterCopy */
9782: PetscCall(VecGetLocalSize(b->lvec, &lsize));
9783: PetscCall(ISCreateGeneral(ccomm, lsize, b->garray, PETSC_USE_POINTER, &from));
9784: PetscCall(ISCreateStride(PETSC_COMM_SELF, lsize, 0, 1, &to));
9785: PetscCall(MatCreateVecs(*B, &gvec, NULL));
9786: PetscCall(VecScatterCreate(gvec, from, b->lvec, to, &b->Mvctx));
9787: PetscCall(ISDestroy(&from));
9788: PetscCall(ISDestroy(&to));
9789: PetscCall(VecDestroy(&gvec));
9790: }
9791: PetscCall(MatDestroy(&At));
9792: PetscFunctionReturn(PETSC_SUCCESS);
9793: }
9795: /* same as MatCreateSubMatrix(A, rows, NULL,...) but allows repeated rows */
9796: static PetscErrorCode MatAIJExtractRows(Mat A, IS rows, Mat *sA)
9797: {
9798: PetscBool isaij;
9799: MPI_Comm comm;
9801: PetscFunctionBegin;
9802: PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
9803: PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)A, &isaij, MATSEQAIJ, MATMPIAIJ, ""));
9804: PetscCheck(isaij, comm, PETSC_ERR_SUP, "Not implemented");
9805: PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATSEQAIJ, &isaij));
9806: if (isaij) { /* SeqAIJ supports repeated rows */
9807: PetscCall(MatCreateSubMatrix(A, rows, NULL, MAT_INITIAL_MATRIX, sA));
9808: } else {
9809: Mat A_loc;
9810: Mat_SeqAIJ *da;
9811: PetscSF sf;
9812: PetscInt ni, *di, *dj, m = A->rmap->n, c, *ldata, *rdata;
9813: PetscScalar *daa;
9814: const PetscInt *idxs;
9815: const PetscSFNode *iremotes;
9816: PetscSFNode *remotes;
9818: /* SF for incoming rows */
9819: PetscCall(PetscSFCreate(comm, &sf));
9820: PetscCall(ISGetLocalSize(rows, &ni));
9821: PetscCall(ISGetIndices(rows, &idxs));
9822: PetscCall(PetscSFSetGraphLayout(sf, A->rmap, ni, NULL, PETSC_USE_POINTER, idxs));
9823: PetscCall(ISRestoreIndices(rows, &idxs));
9825: PetscCall(MatMPIAIJGetLocalMat(A, MAT_INITIAL_MATRIX, &A_loc));
9826: da = (Mat_SeqAIJ *)A_loc->data;
9827: PetscCall(PetscMalloc2(2 * ni, &ldata, 2 * m, &rdata));
9828: for (PetscInt i = 0; i < m; i++) {
9829: rdata[2 * i + 0] = da->i[i + 1] - da->i[i];
9830: rdata[2 * i + 1] = da->i[i];
9831: }
9832: PetscCall(PetscSFBcastBegin(sf, MPIU_2INT, rdata, ldata, MPI_REPLACE));
9833: PetscCall(PetscSFBcastEnd(sf, MPIU_2INT, rdata, ldata, MPI_REPLACE));
9834: PetscCall(PetscMalloc1(ni + 1, &di));
9835: di[0] = 0;
9836: for (PetscInt i = 0; i < ni; i++) di[i + 1] = di[i] + ldata[2 * i + 0];
9837: PetscCall(PetscMalloc1(di[ni], &dj));
9838: PetscCall(PetscMalloc1(di[ni], &daa));
9839: PetscCall(PetscMalloc1(di[ni], &remotes));
9841: PetscCall(PetscSFGetGraph(sf, NULL, NULL, NULL, &iremotes));
9843: /* SF graph for nonzeros */
9844: c = 0;
9845: for (PetscInt i = 0; i < ni; i++) {
9846: const PetscInt rank = iremotes[i].rank;
9847: const PetscInt rsize = ldata[2 * i];
9848: for (PetscInt j = 0; j < rsize; j++) {
9849: remotes[c].rank = rank;
9850: remotes[c].index = ldata[2 * i + 1] + j;
9851: c++;
9852: }
9853: }
9854: PetscCheck(c == di[ni], PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of local nonzeros %" PetscInt_FMT " != %" PetscInt_FMT, c, di[ni]);
9855: PetscCall(PetscSFSetGraph(sf, da->i[m], di[ni], NULL, PETSC_USE_POINTER, remotes, PETSC_USE_POINTER));
9856: PetscCall(PetscSFBcastBegin(sf, MPIU_INT, da->j, dj, MPI_REPLACE));
9857: PetscCall(PetscSFBcastEnd(sf, MPIU_INT, da->j, dj, MPI_REPLACE));
9858: PetscCall(PetscSFBcastBegin(sf, MPIU_SCALAR, da->a, daa, MPI_REPLACE));
9859: PetscCall(PetscSFBcastEnd(sf, MPIU_SCALAR, da->a, daa, MPI_REPLACE));
9861: PetscCall(MatCreateMPIAIJWithArrays(comm, ni, A->cmap->n, PETSC_DECIDE, A->cmap->N, di, dj, daa, sA));
9862: PetscCall(MatDestroy(&A_loc));
9863: PetscCall(PetscSFDestroy(&sf));
9864: PetscCall(PetscFree(di));
9865: PetscCall(PetscFree(dj));
9866: PetscCall(PetscFree(daa));
9867: PetscCall(PetscFree(remotes));
9868: PetscCall(PetscFree2(ldata, rdata));
9869: }
9870: PetscFunctionReturn(PETSC_SUCCESS);
9871: }