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 %d", (int)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: PetscCall(MPIU_Allreduce(&lrc[0], &lrc[1], 1, MPIU_BOOL, MPI_LOR, comm));
209: if (!lrc[1]) PetscFunctionReturn(PETSC_SUCCESS);
211: /* Get Nedelec field */
212: PetscCheck(!pcbddc->n_ISForDofsLocal || field < pcbddc->n_ISForDofsLocal, comm, PETSC_ERR_USER, "Invalid field for Nedelec %" PetscInt_FMT ": number of fields is %" PetscInt_FMT, field, pcbddc->n_ISForDofsLocal);
213: if (pcbddc->n_ISForDofsLocal && field >= 0) {
214: PetscCall(PetscObjectReference((PetscObject)pcbddc->ISForDofsLocal[field]));
215: nedfieldlocal = pcbddc->ISForDofsLocal[field];
216: PetscCall(ISGetLocalSize(nedfieldlocal, &ne));
217: } else if (!pcbddc->n_ISForDofsLocal && field != PETSC_DECIDE) {
218: ne = n;
219: nedfieldlocal = NULL;
220: global = PETSC_TRUE;
221: } else if (field == PETSC_DECIDE) {
222: PetscInt rst, ren, *idx;
224: PetscCall(PetscArrayzero(matis->sf_leafdata, n));
225: PetscCall(PetscArrayzero(matis->sf_rootdata, pc->pmat->rmap->n));
226: PetscCall(MatGetOwnershipRange(pcbddc->discretegradient, &rst, &ren));
227: for (i = rst; i < ren; i++) {
228: PetscInt nc;
230: PetscCall(MatGetRow(pcbddc->discretegradient, i, &nc, NULL, NULL));
231: if (nc > 1) matis->sf_rootdata[i - rst] = 1;
232: PetscCall(MatRestoreRow(pcbddc->discretegradient, i, &nc, NULL, NULL));
233: }
234: PetscCall(PetscSFBcastBegin(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
235: PetscCall(PetscSFBcastEnd(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
236: PetscCall(PetscMalloc1(n, &idx));
237: for (i = 0, ne = 0; i < n; i++)
238: if (matis->sf_leafdata[i]) idx[ne++] = i;
239: PetscCall(ISCreateGeneral(comm, ne, idx, PETSC_OWN_POINTER, &nedfieldlocal));
240: } else {
241: SETERRQ(comm, PETSC_ERR_USER, "When multiple fields are present, the Nedelec field has to be specified");
242: }
244: /* Sanity checks */
245: PetscCheck(order || conforming, comm, PETSC_ERR_SUP, "Variable order and non-conforming spaces are not supported at the same time");
246: PetscCheck(!pcbddc->user_ChangeOfBasisMatrix, comm, PETSC_ERR_SUP, "Cannot generate Nedelec support with user defined change of basis");
247: PetscCheck(!order || (ne % order == 0), PETSC_COMM_SELF, PETSC_ERR_USER, "The number of local edge dofs %" PetscInt_FMT " is not a multiple of the order %" PetscInt_FMT, ne, order);
249: /* Just set primal dofs and return */
250: if (setprimal) {
251: IS enedfieldlocal;
252: PetscInt *eidxs;
254: PetscCall(PetscMalloc1(ne, &eidxs));
255: PetscCall(VecGetArrayRead(matis->counter, (const PetscScalar **)&vals));
256: if (nedfieldlocal) {
257: PetscCall(ISGetIndices(nedfieldlocal, &idxs));
258: for (i = 0, cum = 0; i < ne; i++) {
259: if (PetscRealPart(vals[idxs[i]]) > 2.) eidxs[cum++] = idxs[i];
260: }
261: PetscCall(ISRestoreIndices(nedfieldlocal, &idxs));
262: } else {
263: for (i = 0, cum = 0; i < ne; i++) {
264: if (PetscRealPart(vals[i]) > 2.) eidxs[cum++] = i;
265: }
266: }
267: PetscCall(VecRestoreArrayRead(matis->counter, (const PetscScalar **)&vals));
268: PetscCall(ISCreateGeneral(comm, cum, eidxs, PETSC_COPY_VALUES, &enedfieldlocal));
269: PetscCall(PCBDDCSetPrimalVerticesLocalIS(pc, enedfieldlocal));
270: PetscCall(PetscFree(eidxs));
271: PetscCall(ISDestroy(&nedfieldlocal));
272: PetscCall(ISDestroy(&enedfieldlocal));
273: PetscFunctionReturn(PETSC_SUCCESS);
274: }
276: /* Compute some l2g maps */
277: if (nedfieldlocal) {
278: IS is;
280: /* need to map from the local Nedelec field to local numbering */
281: PetscCall(ISLocalToGlobalMappingCreateIS(nedfieldlocal, &fl2g));
282: /* need to map from the local Nedelec field to global numbering for the whole dofs*/
283: PetscCall(ISLocalToGlobalMappingApplyIS(al2g, nedfieldlocal, &is));
284: PetscCall(ISLocalToGlobalMappingCreateIS(is, &al2g));
285: /* need to map from the local Nedelec field to global numbering (for Nedelec only) */
286: if (global) {
287: PetscCall(PetscObjectReference((PetscObject)al2g));
288: el2g = al2g;
289: } else {
290: IS gis;
292: PetscCall(ISRenumber(is, NULL, NULL, &gis));
293: PetscCall(ISLocalToGlobalMappingCreateIS(gis, &el2g));
294: PetscCall(ISDestroy(&gis));
295: }
296: PetscCall(ISDestroy(&is));
297: } else {
298: /* one ref for the destruction of al2g, one for el2g */
299: PetscCall(PetscObjectReference((PetscObject)al2g));
300: PetscCall(PetscObjectReference((PetscObject)al2g));
301: el2g = al2g;
302: fl2g = NULL;
303: }
305: /* Start communication to drop connections for interior edges (for cc analysis only) */
306: PetscCall(PetscArrayzero(matis->sf_leafdata, n));
307: PetscCall(PetscArrayzero(matis->sf_rootdata, pc->pmat->rmap->n));
308: if (nedfieldlocal) {
309: PetscCall(ISGetIndices(nedfieldlocal, &idxs));
310: for (i = 0; i < ne; i++) matis->sf_leafdata[idxs[i]] = 1;
311: PetscCall(ISRestoreIndices(nedfieldlocal, &idxs));
312: } else {
313: for (i = 0; i < ne; i++) matis->sf_leafdata[i] = 1;
314: }
315: PetscCall(PetscSFReduceBegin(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, MPI_SUM));
316: PetscCall(PetscSFReduceEnd(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, MPI_SUM));
318: /* There's no way to detect all possible corner candidates in a element-by-element case in a pure algebraic setting
319: Firedrake attaches a index set to identify them upfront. If it is present, we assume we are in such a case */
320: if (matis->allow_repeated) PetscCall(PetscObjectQuery((PetscObject)pcbddc->discretegradient, "_elements_corners", (PetscObject *)&elements_corners));
322: /* drop connections with interior edges to avoid unneeded communications and memory movements */
323: PetscCall(MatViewFromOptions(pcbddc->discretegradient, (PetscObject)pc, "-pc_bddc_discrete_gradient_view"));
324: PetscCall(MatDuplicate(pcbddc->discretegradient, MAT_COPY_VALUES, &G));
325: PetscCall(MatSetOption(G, MAT_KEEP_NONZERO_PATTERN, PETSC_FALSE));
326: if (global) {
327: PetscInt rst;
329: PetscCall(MatGetOwnershipRange(G, &rst, NULL));
330: for (i = 0, cum = 0; i < pc->pmat->rmap->n; i++) {
331: if (matis->sf_rootdata[i] < 2) matis->sf_rootdata[cum++] = i + rst;
332: }
333: PetscCall(MatSetOption(G, MAT_NO_OFF_PROC_ZERO_ROWS, PETSC_TRUE));
334: PetscCall(MatZeroRows(G, cum, matis->sf_rootdata, 0., NULL, NULL));
335: } else {
336: PetscInt *tbz;
338: PetscCall(PetscMalloc1(ne, &tbz));
339: PetscCall(PetscSFBcastBegin(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
340: PetscCall(PetscSFBcastEnd(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
341: PetscCall(ISGetIndices(nedfieldlocal, &idxs));
342: for (i = 0, cum = 0; i < ne; i++)
343: if (matis->sf_leafdata[idxs[i]] == 1) tbz[cum++] = i;
344: PetscCall(ISRestoreIndices(nedfieldlocal, &idxs));
345: PetscCall(ISLocalToGlobalMappingApply(el2g, cum, tbz, tbz));
346: PetscCall(MatZeroRows(G, cum, tbz, 0., NULL, NULL));
347: PetscCall(PetscFree(tbz));
348: }
350: /* Extract subdomain relevant rows of G */
351: PetscCall(ISLocalToGlobalMappingGetIndices(el2g, &idxs));
352: PetscCall(ISCreateGeneral(comm, ne, idxs, PETSC_USE_POINTER, &lned));
353: PetscCall(MatAIJExtractRows(G, lned, &lGall));
354: /* PetscCall(MatCreateSubMatrix(G, lned, NULL, MAT_INITIAL_MATRIX, &lGall)); */
355: PetscCall(ISLocalToGlobalMappingRestoreIndices(el2g, &idxs));
356: PetscCall(ISDestroy(&lned));
357: PetscCall(MatConvert(lGall, MATIS, MAT_INITIAL_MATRIX, &lGis));
358: PetscCall(MatDestroy(&lGall));
359: PetscCall(MatISGetLocalMat(lGis, &lG));
360: if (matis->allow_repeated) { /* multi-element support */
361: Mat *lGn, B;
362: IS *is_rows, *tcols, tmap, nmap;
363: PetscInt subnv;
364: const PetscInt *subvidxs;
365: ISLocalToGlobalMapping mapn;
367: PetscCall(PetscCalloc1(pcbddc->n_local_subs * pcbddc->n_local_subs, &lGn));
368: PetscCall(PetscMalloc1(pcbddc->n_local_subs, &is_rows));
369: PetscCall(PetscMalloc1(pcbddc->n_local_subs, &tcols));
370: for (PetscInt i = 0; i < pcbddc->n_local_subs; i++) {
371: if (fl2g) {
372: PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_MASK, pcbddc->local_subs[i], &is_rows[i]));
373: } else {
374: PetscCall(PetscObjectReference((PetscObject)pcbddc->local_subs[i]));
375: is_rows[i] = pcbddc->local_subs[i];
376: }
377: PetscCall(MatCreateSubMatrix(lG, is_rows[i], NULL, MAT_INITIAL_MATRIX, &lGn[i * (1 + pcbddc->n_local_subs)]));
378: PetscCall(MatSeqAIJCompactOutExtraColumns_SeqAIJ(lGn[i * (1 + pcbddc->n_local_subs)], &mapn));
379: PetscCall(ISLocalToGlobalMappingGetSize(mapn, &subnv));
380: PetscCall(ISLocalToGlobalMappingGetIndices(mapn, &subvidxs));
381: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, subnv, subvidxs, PETSC_COPY_VALUES, &tcols[i]));
382: PetscCall(ISLocalToGlobalMappingRestoreIndices(mapn, &subvidxs));
383: PetscCall(ISLocalToGlobalMappingDestroy(&mapn));
384: }
386: /* Create new MATIS with repeated vertices */
387: PetscCall(MatCreate(comm, &B));
388: PetscCall(MatSetSizes(B, lGis->rmap->n, lGis->cmap->n, lGis->rmap->N, lGis->cmap->N));
389: PetscCall(MatSetType(B, MATIS));
390: PetscCall(MatISSetAllowRepeated(B, PETSC_TRUE));
391: PetscCall(ISConcatenate(PETSC_COMM_SELF, pcbddc->n_local_subs, tcols, &tmap));
392: PetscCall(ISLocalToGlobalMappingApplyIS(lGis->cmap->mapping, tmap, &nmap));
393: PetscCall(ISDestroy(&tmap));
394: PetscCall(ISGetLocalSize(nmap, &subnv));
395: PetscCall(ISGetIndices(nmap, &subvidxs));
396: PetscCall(ISCreateGeneral(comm, subnv, subvidxs, PETSC_USE_POINTER, &tmap));
397: PetscCall(ISRestoreIndices(nmap, &subvidxs));
398: PetscCall(ISLocalToGlobalMappingCreateIS(tmap, &mapn));
399: PetscCall(ISDestroy(&tmap));
400: PetscCall(ISDestroy(&nmap));
401: PetscCall(MatSetLocalToGlobalMapping(B, lGis->rmap->mapping, mapn));
402: PetscCall(ISLocalToGlobalMappingDestroy(&mapn));
403: PetscCall(MatCreateNest(PETSC_COMM_SELF, pcbddc->n_local_subs, is_rows, pcbddc->n_local_subs, NULL, lGn, &lG));
404: for (PetscInt i = 0; i < pcbddc->n_local_subs; i++) {
405: PetscCall(MatDestroy(&lGn[i * (1 + pcbddc->n_local_subs)]));
406: PetscCall(ISDestroy(&is_rows[i]));
407: PetscCall(ISDestroy(&tcols[i]));
408: }
409: PetscCall(MatConvert(lG, MATSEQAIJ, MAT_INPLACE_MATRIX, &lG));
410: PetscCall(PetscFree(lGn));
411: PetscCall(PetscFree(is_rows));
412: PetscCall(PetscFree(tcols));
413: PetscCall(MatISSetLocalMat(B, lG));
414: PetscCall(MatDestroy(&lG));
416: PetscCall(MatDestroy(&lGis));
417: lGis = B;
419: lGis->assembled = PETSC_TRUE;
420: }
421: PetscCall(MatViewFromOptions(lGis, (PetscObject)pc, "-pc_bddc_nedelec_init_G_view"));
423: /* SF for nodal dofs communications */
424: PetscCall(MatGetLocalSize(G, NULL, &Lv));
425: PetscCall(MatISGetLocalToGlobalMapping(lGis, NULL, &vl2g));
426: PetscCall(PetscObjectReference((PetscObject)vl2g));
427: PetscCall(ISLocalToGlobalMappingGetSize(vl2g, &nv));
428: PetscCall(PetscSFCreate(comm, &sfv));
429: PetscCall(ISLocalToGlobalMappingGetIndices(vl2g, &idxs));
430: PetscCall(PetscSFSetGraphLayout(sfv, lGis->cmap, nv, NULL, PETSC_OWN_POINTER, idxs));
431: PetscCall(ISLocalToGlobalMappingRestoreIndices(vl2g, &idxs));
433: if (elements_corners) {
434: IS tmp;
435: Vec global, local;
436: Mat_IS *tGis = (Mat_IS *)lGis->data;
438: PetscCall(MatCreateVecs(lGis, &global, NULL));
439: PetscCall(MatCreateVecs(tGis->A, &local, NULL));
440: PetscCall(PCBDDCGlobalToLocal(tGis->cctx, global, local, elements_corners, &tmp));
441: PetscCall(VecDestroy(&global));
442: PetscCall(VecDestroy(&local));
443: elements_corners = tmp;
444: }
446: /* Destroy temporary G */
447: PetscCall(MatISGetLocalMat(lGis, &lG));
448: PetscCall(PetscObjectReference((PetscObject)lG));
449: PetscCall(MatDestroy(&G));
450: PetscCall(MatDestroy(&lGis));
452: if (print) {
453: PetscCall(PetscObjectSetName((PetscObject)lG, "initial_lG"));
454: PetscCall(MatView(lG, NULL));
455: }
457: /* Save lG for values insertion in change of basis */
458: PetscCall(MatDuplicate(lG, MAT_COPY_VALUES, &lGinit));
460: /* Analyze the edge-nodes connections (duplicate lG) */
461: PetscCall(MatDuplicate(lG, MAT_COPY_VALUES, &lGe));
462: PetscCall(MatSetOption(lGe, MAT_KEEP_NONZERO_PATTERN, PETSC_FALSE));
463: PetscCall(PetscBTCreate(nv, &btv));
464: PetscCall(PetscBTCreate(ne, &bte));
465: PetscCall(PetscBTCreate(ne, &btb));
466: PetscCall(PetscBTCreate(ne, &btbd));
467: /* need to import the boundary specification to ensure the
468: proper detection of coarse edges' endpoints */
469: if (pcbddc->DirichletBoundariesLocal) {
470: IS is;
472: if (fl2g) {
473: PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_MASK, pcbddc->DirichletBoundariesLocal, &is));
474: } else {
475: is = pcbddc->DirichletBoundariesLocal;
476: }
477: PetscCall(ISGetLocalSize(is, &cum));
478: PetscCall(ISGetIndices(is, &idxs));
479: for (i = 0; i < cum; i++) {
480: if (idxs[i] >= 0 && idxs[i] < ne) {
481: PetscCall(PetscBTSet(btb, idxs[i]));
482: PetscCall(PetscBTSet(btbd, idxs[i]));
483: }
484: }
485: PetscCall(ISRestoreIndices(is, &idxs));
486: if (fl2g) PetscCall(ISDestroy(&is));
487: }
488: if (pcbddc->NeumannBoundariesLocal) {
489: IS is;
491: if (fl2g) {
492: PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_MASK, pcbddc->NeumannBoundariesLocal, &is));
493: } else {
494: is = pcbddc->NeumannBoundariesLocal;
495: }
496: PetscCall(ISGetLocalSize(is, &cum));
497: PetscCall(ISGetIndices(is, &idxs));
498: for (i = 0; i < cum; i++) {
499: if (idxs[i] >= 0 && idxs[i] < ne) PetscCall(PetscBTSet(btb, idxs[i]));
500: }
501: PetscCall(ISRestoreIndices(is, &idxs));
502: if (fl2g) PetscCall(ISDestroy(&is));
503: }
505: /* Count neighs per dof */
506: PetscCall(ISLocalToGlobalMappingGetNodeInfo(el2g, NULL, &ecount, NULL));
507: PetscCall(ISLocalToGlobalMappingGetNodeInfo(vl2g, NULL, &vcount, NULL));
509: /* need to remove coarse faces' dofs and coarse edges' dirichlet dofs
510: for proper detection of coarse edges' endpoints */
511: PetscCall(PetscBTCreate(ne, &btee));
512: for (i = 0; i < ne; i++) {
513: if ((ecount[i] > 2 && !PetscBTLookup(btbd, i)) || (ecount[i] == 2 && PetscBTLookup(btb, i))) PetscCall(PetscBTSet(btee, i));
514: }
515: PetscCall(PetscMalloc1(ne, &marks));
516: if (!conforming) {
517: PetscCall(MatTranspose(lGe, MAT_INITIAL_MATRIX, &lGt));
518: PetscCall(MatGetRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
519: }
520: PetscCall(MatGetRowIJ(lGe, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
521: PetscCall(MatSeqAIJGetArray(lGe, &vals));
522: cum = 0;
523: for (i = 0; i < ne; i++) {
524: /* eliminate rows corresponding to edge dofs belonging to coarse faces */
525: if (!PetscBTLookup(btee, i)) {
526: marks[cum++] = i;
527: continue;
528: }
529: /* set badly connected edge dofs as primal */
530: if (!conforming) {
531: if (ii[i + 1] - ii[i] != order + 1) { /* every row of G on the coarse edge should list order+1 nodal dofs */
532: marks[cum++] = i;
533: PetscCall(PetscBTSet(bte, i));
534: for (j = ii[i]; j < ii[i + 1]; j++) PetscCall(PetscBTSet(btv, jj[j]));
535: } else {
536: /* every edge dofs should be connected through a certain number of nodal dofs
537: to other edge dofs belonging to coarse edges
538: - at most 2 endpoints
539: - order-1 interior nodal dofs
540: - no undefined nodal dofs (nconn < order)
541: */
542: PetscInt ends = 0, ints = 0, undef = 0;
543: for (j = ii[i]; j < ii[i + 1]; j++) {
544: PetscInt v = jj[j], k;
545: PetscInt nconn = iit[v + 1] - iit[v];
546: for (k = iit[v]; k < iit[v + 1]; k++)
547: if (!PetscBTLookup(btee, jjt[k])) nconn--;
548: if (nconn > order) ends++;
549: else if (nconn == order) ints++;
550: else undef++;
551: }
552: if (undef || ends > 2 || ints != order - 1) {
553: marks[cum++] = i;
554: PetscCall(PetscBTSet(bte, i));
555: for (j = ii[i]; j < ii[i + 1]; j++) PetscCall(PetscBTSet(btv, jj[j]));
556: }
557: }
558: }
559: /* We assume the order on the element edge is ii[i+1]-ii[i]-1 */
560: if (!order && ii[i + 1] != ii[i]) {
561: PetscScalar val = 1. / (ii[i + 1] - ii[i] - 1);
562: for (j = ii[i]; j < ii[i + 1]; j++) vals[j] = val;
563: }
564: }
565: PetscCall(PetscBTDestroy(&btee));
566: PetscCall(MatSeqAIJRestoreArray(lGe, &vals));
567: PetscCall(MatRestoreRowIJ(lGe, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
568: if (!conforming) {
569: PetscCall(MatRestoreRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
570: PetscCall(MatDestroy(&lGt));
571: }
572: PetscCall(MatZeroRows(lGe, cum, marks, 0., NULL, NULL));
574: /* identify splitpoints and corner candidates */
575: PetscCall(PetscMalloc2(nv, &sfvleaves, Lv, &sfvroots));
576: PetscCall(PetscBTCreate(nv, &btvcand));
577: if (elements_corners) {
578: PetscCall(ISGetLocalSize(elements_corners, &cum));
579: PetscCall(ISGetIndices(elements_corners, &idxs));
580: for (i = 0; i < cum; i++) PetscCall(PetscBTSet(btvcand, idxs[i]));
581: PetscCall(ISRestoreIndices(elements_corners, &idxs));
582: }
584: if (matis->allow_repeated) { /* assign a uniq global id to edge local subsets and communicate it with nodal space */
585: PetscSF emlsf, vmlsf;
586: PetscInt *eleaves, *vleaves, *meleaves, *mvleaves;
587: PetscInt cum_subs = 0, n_subs = pcbddc->n_local_subs, bs, emnr, emnl, vmnr, vmnl;
589: PetscCall(ISLocalToGlobalMappingGetBlockSize(el2g, &bs));
590: PetscCheck(bs == 1, comm, PETSC_ERR_SUP, "Not coded");
591: PetscCall(ISLocalToGlobalMappingGetBlockSize(vl2g, &bs));
592: PetscCheck(bs == 1, comm, PETSC_ERR_SUP, "Not coded");
594: PetscCall(ISLocalToGlobalMappingGetBlockMultiLeavesSF(el2g, &emlsf));
595: PetscCall(ISLocalToGlobalMappingGetBlockMultiLeavesSF(vl2g, &vmlsf));
597: PetscCall(PetscSFGetGraph(emlsf, &emnr, &emnl, NULL, NULL));
598: for (i = 0, j = 0; i < ne; i++) j += ecount[i];
599: PetscCheck(emnr == ne, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of roots in edge multi-leaves SF %" PetscInt_FMT " != %" PetscInt_FMT, emnr, ne);
600: PetscCheck(emnl == j, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of leaves in edge multi-leaves SF %" PetscInt_FMT " != %" PetscInt_FMT, emnl, j);
602: PetscCall(PetscSFGetGraph(vmlsf, &vmnr, &vmnl, NULL, NULL));
603: for (i = 0, j = 0; i < nv; i++) j += vcount[i];
604: PetscCheck(vmnr == nv, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of roots in nodal multi-leaves SF %" PetscInt_FMT " != %" PetscInt_FMT, vmnr, nv);
605: PetscCheck(vmnl == j, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of leaves in nodal multi-leaves SF %" PetscInt_FMT " != %" PetscInt_FMT, vmnl, j);
607: PetscCall(PetscMalloc1(ne, &eleaves));
608: PetscCall(PetscMalloc1(nv, &vleaves));
609: for (i = 0; i < ne; i++) eleaves[i] = PETSC_MAX_INT;
610: for (i = 0; i < nv; i++) vleaves[i] = PETSC_MAX_INT;
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: PetscCall(MPIU_Allreduce(&eerr, &done, 1, MPIU_BOOL, MPI_LOR, comm));
1060: if (done) {
1061: PetscInt *newprimals;
1063: PetscCall(PetscMalloc1(ne, &newprimals));
1064: PetscCall(ISGetLocalSize(primals, &cum));
1065: PetscCall(ISGetIndices(primals, &idxs));
1066: PetscCall(PetscArraycpy(newprimals, idxs, cum));
1067: PetscCall(ISRestoreIndices(primals, &idxs));
1068: PetscCall(MatGetRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
1069: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, "DOING SECOND PASS (eerr %s)\n", PetscBools[eerr]));
1070: for (i = 0; i < nee; i++) {
1071: PetscBool has_candidates = PETSC_FALSE;
1072: if (PetscBTLookup(bter, i)) {
1073: PetscInt size, mark = i + 1;
1075: PetscCall(ISGetLocalSize(eedges[i], &size));
1076: PetscCall(ISGetIndices(eedges[i], &idxs));
1077: /* for (j=0;j<size;j++) newprimals[cum++] = idxs[j]; */
1078: for (j = 0; j < size; j++) {
1079: PetscInt k, ee = idxs[j];
1080: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, "Inspecting edge dof %" PetscInt_FMT " [%" PetscInt_FMT " %" PetscInt_FMT ")\n", ee, ii[ee], ii[ee + 1]));
1081: for (k = ii[ee]; k < ii[ee + 1]; k++) {
1082: /* set all candidates located on the edge as corners */
1083: if (PetscBTLookup(btvcand, jj[k])) {
1084: PetscInt k2, vv = jj[k];
1085: has_candidates = PETSC_TRUE;
1086: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Candidate set to vertex %" PetscInt_FMT "\n", vv));
1087: PetscCall(PetscBTSet(btv, vv));
1088: /* set all edge dofs connected to candidate as primals */
1089: for (k2 = iit[vv]; k2 < iit[vv + 1]; k2++) {
1090: if (marks[jjt[k2]] == mark) {
1091: PetscInt k3, ee2 = jjt[k2];
1092: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Connected edge dof set to primal %" PetscInt_FMT "\n", ee2));
1093: newprimals[cum++] = ee2;
1094: /* finally set the new corners */
1095: for (k3 = ii[ee2]; k3 < ii[ee2 + 1]; k3++) {
1096: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Connected nodal dof set to vertex %" PetscInt_FMT "\n", jj[k3]));
1097: PetscCall(PetscBTSet(btv, jj[k3]));
1098: }
1099: }
1100: }
1101: } else {
1102: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Not a candidate vertex %" PetscInt_FMT "\n", jj[k]));
1103: }
1104: }
1105: }
1106: if (!has_candidates) { /* circular edge */
1107: PetscInt k, ee = idxs[0], *tmarks;
1109: PetscCall(PetscCalloc1(ne, &tmarks));
1110: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Circular edge %" PetscInt_FMT "\n", i));
1111: for (k = ii[ee]; k < ii[ee + 1]; k++) {
1112: PetscInt k2;
1113: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Set to corner %" PetscInt_FMT "\n", jj[k]));
1114: PetscCall(PetscBTSet(btv, jj[k]));
1115: for (k2 = iit[jj[k]]; k2 < iit[jj[k] + 1]; k2++) tmarks[jjt[k2]]++;
1116: }
1117: for (j = 0; j < size; j++) {
1118: if (tmarks[idxs[j]] > 1) {
1119: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, " Edge dof set to primal %" PetscInt_FMT "\n", idxs[j]));
1120: newprimals[cum++] = idxs[j];
1121: }
1122: }
1123: PetscCall(PetscFree(tmarks));
1124: }
1125: PetscCall(ISRestoreIndices(eedges[i], &idxs));
1126: }
1127: PetscCall(ISDestroy(&extcols[i]));
1128: }
1129: PetscCall(PetscFree(extcols));
1130: PetscCall(MatRestoreRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &iit, &jjt, &done));
1131: PetscCall(PetscSortRemoveDupsInt(&cum, newprimals));
1132: if (fl2g) {
1133: PetscCall(ISLocalToGlobalMappingApply(fl2g, cum, newprimals, newprimals));
1134: PetscCall(ISDestroy(&primals));
1135: for (i = 0; i < nee; i++) PetscCall(ISDestroy(&eedges[i]));
1136: PetscCall(PetscFree(eedges));
1137: }
1138: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, &nee, &alleedges, &allprimals));
1139: PetscCall(ISCreateGeneral(comm, cum, newprimals, PETSC_COPY_VALUES, &primals));
1140: PetscCall(PetscFree(newprimals));
1141: PetscCall(PCBDDCSetPrimalVerticesLocalIS(pc, primals));
1142: PetscCall(ISDestroy(&primals));
1143: PetscCall(PCBDDCAnalyzeInterface(pc));
1144: pcbddc->mat_graph->twodim = PETSC_FALSE;
1145: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, &nee, &alleedges, &allprimals));
1146: if (fl2g) {
1147: PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_DROP, allprimals, &primals));
1148: PetscCall(PetscMalloc1(nee, &eedges));
1149: for (i = 0; i < nee; i++) PetscCall(ISGlobalToLocalMappingApplyIS(fl2g, IS_GTOLM_DROP, alleedges[i], &eedges[i]));
1150: } else {
1151: eedges = alleedges;
1152: primals = allprimals;
1153: }
1154: PetscCall(PetscCalloc1(nee, &extcols));
1156: /* Mark again */
1157: PetscCall(PetscArrayzero(marks, ne));
1158: for (i = 0; i < nee; i++) {
1159: PetscInt size, mark = i + 1;
1161: PetscCall(ISGetLocalSize(eedges[i], &size));
1162: PetscCall(ISGetIndices(eedges[i], &idxs));
1163: for (j = 0; j < size; j++) marks[idxs[j]] = mark;
1164: PetscCall(ISRestoreIndices(eedges[i], &idxs));
1165: }
1166: if (print) {
1167: PetscCall(PetscObjectSetName((PetscObject)primals, "obtained_primal_dofs_secondpass"));
1168: PetscCall(ISView(primals, NULL));
1169: }
1171: /* Recompute extended cols */
1172: eerr = PETSC_FALSE;
1173: for (i = 0; i < nee; i++) {
1174: PetscInt size;
1176: cum = 0;
1177: PetscCall(ISGetLocalSize(eedges[i], &size));
1178: if (!size && nedfieldlocal) continue;
1179: PetscCheck(size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unexpected zero sized edge %" PetscInt_FMT, i);
1180: PetscCall(ISGetIndices(eedges[i], &idxs));
1181: for (j = 0; j < size; j++) {
1182: PetscInt k, ee = idxs[j];
1183: for (k = ii[ee]; k < ii[ee + 1]; k++)
1184: if (!PetscBTLookup(btv, jj[k])) extrow[cum++] = jj[k];
1185: }
1186: PetscCall(ISRestoreIndices(eedges[i], &idxs));
1187: PetscCall(PetscSortRemoveDupsInt(&cum, extrow));
1188: PetscCall(ISLocalToGlobalMappingApply(vl2g, cum, extrow, gidxs));
1189: PetscCall(PetscSortIntWithArray(cum, gidxs, extrow));
1190: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, cum, extrow, PETSC_COPY_VALUES, &extcols[i]));
1191: if (cum != size - 1) {
1192: if (print) {
1193: PetscCall(PetscObjectSetName((PetscObject)eedges[i], "error_edge_secondpass"));
1194: PetscCall(ISView(eedges[i], NULL));
1195: PetscCall(PetscObjectSetName((PetscObject)extcols[i], "error_extcol_secondpass"));
1196: PetscCall(ISView(extcols[i], NULL));
1197: }
1198: eerr = PETSC_TRUE;
1199: }
1200: }
1201: }
1202: PetscCall(MatRestoreRowIJ(lG, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1203: PetscCall(PetscFree2(extrow, gidxs));
1204: PetscCall(PetscBTDestroy(&bter));
1205: if (print) PetscCall(PCBDDCGraphASCIIView(pcbddc->mat_graph, 5, PETSC_VIEWER_STDOUT_SELF));
1206: /* an error should not occur at this point */
1207: PetscCheck(!eerr, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unexpected SIZE OF EDGE > EXTCOL SECOND PASS");
1209: /* Check the number of endpoints */
1210: PetscCall(MatGetRowIJ(lG, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1211: PetscCall(PetscMalloc1(2 * nee, &corners));
1212: PetscCall(PetscMalloc1(nee, &cedges));
1213: for (i = 0; i < nee; i++) {
1214: PetscInt size, found = 0, gc[2];
1216: /* init with defaults */
1217: cedges[i] = corners[i * 2] = corners[i * 2 + 1] = -1;
1218: PetscCall(ISGetLocalSize(eedges[i], &size));
1219: if (!size && nedfieldlocal) continue;
1220: PetscCheck(size, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Unexpected zero sized edge %" PetscInt_FMT, i);
1221: PetscCall(ISGetIndices(eedges[i], &idxs));
1222: PetscCall(PetscBTMemzero(nv, btvc));
1223: for (j = 0; j < size; j++) {
1224: PetscInt k, ee = idxs[j];
1225: for (k = ii[ee]; k < ii[ee + 1]; k++) {
1226: PetscInt vv = jj[k];
1227: if (PetscBTLookup(btv, vv) && !PetscBTLookupSet(btvc, vv)) {
1228: PetscCheck(found != 2, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Found more than two corners for edge %" PetscInt_FMT, i);
1229: corners[i * 2 + found++] = vv;
1230: }
1231: }
1232: }
1233: if (found != 2) {
1234: PetscInt e;
1235: if (fl2g) {
1236: PetscCall(ISLocalToGlobalMappingApply(fl2g, 1, idxs, &e));
1237: } else {
1238: e = idxs[0];
1239: }
1240: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB, "Found %" PetscInt_FMT " corners for edge %" PetscInt_FMT " (astart %" PetscInt_FMT ", estart %" PetscInt_FMT ")", found, i, e, idxs[0]);
1241: }
1243: /* get primal dof index on this coarse edge */
1244: PetscCall(ISLocalToGlobalMappingApply(vl2g, 2, corners + 2 * i, gc));
1245: if (gc[0] > gc[1]) {
1246: PetscInt swap = corners[2 * i];
1247: corners[2 * i] = corners[2 * i + 1];
1248: corners[2 * i + 1] = swap;
1249: }
1250: cedges[i] = idxs[size - 1];
1251: PetscCall(ISRestoreIndices(eedges[i], &idxs));
1252: if (print) PetscCall(PetscPrintf(PETSC_COMM_SELF, "EDGE %" PetscInt_FMT ": ce %" PetscInt_FMT ", corners (%" PetscInt_FMT ",%" PetscInt_FMT ")\n", i, cedges[i], corners[2 * i], corners[2 * i + 1]));
1253: }
1254: PetscCall(MatRestoreRowIJ(lG, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1255: PetscCall(PetscBTDestroy(&btvc));
1257: if (PetscDefined(USE_DEBUG)) {
1258: /* Inspects columns of lG (rows of lGt) and make sure the change of basis will
1259: not interfere with neighbouring coarse edges */
1260: PetscCall(PetscMalloc1(nee + 1, &emarks));
1261: PetscCall(MatGetRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1262: for (i = 0; i < nv; i++) {
1263: PetscInt emax = 0, eemax = 0;
1265: if (ii[i + 1] == ii[i] || PetscBTLookup(btv, i)) continue;
1266: PetscCall(PetscArrayzero(emarks, nee + 1));
1267: for (j = ii[i]; j < ii[i + 1]; j++) emarks[marks[jj[j]]]++;
1268: for (j = 1; j < nee + 1; j++) {
1269: if (emax < emarks[j]) {
1270: emax = emarks[j];
1271: eemax = j;
1272: }
1273: }
1274: /* not relevant for edges */
1275: if (!eemax) continue;
1277: for (j = ii[i]; j < ii[i + 1]; j++) {
1278: PetscCheck(!marks[jj[j]] || marks[jj[j]] == eemax, PETSC_COMM_SELF, PETSC_ERR_SUP, "Found 2 coarse edges (id %" PetscInt_FMT " and %" PetscInt_FMT ") connected through the %" PetscInt_FMT " nodal dof at edge dof %" PetscInt_FMT, marks[jj[j]] - 1, eemax, i, jj[j]);
1279: }
1280: }
1281: PetscCall(PetscFree(emarks));
1282: PetscCall(MatRestoreRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1283: }
1285: /* Compute extended rows indices for edge blocks of the change of basis */
1286: PetscCall(MatGetRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1287: PetscCall(MatSeqAIJGetMaxRowNonzeros(lGt, &extmem));
1288: extmem *= maxsize;
1289: PetscCall(PetscMalloc1(extmem * nee, &extrow));
1290: PetscCall(PetscMalloc1(nee, &extrows));
1291: PetscCall(PetscCalloc1(nee, &extrowcum));
1292: for (i = 0; i < nv; i++) {
1293: PetscInt mark = 0, size, start;
1295: if (ii[i + 1] == ii[i] || PetscBTLookup(btv, i)) continue;
1296: for (j = ii[i]; j < ii[i + 1]; j++)
1297: if (marks[jj[j]] && !mark) mark = marks[jj[j]];
1299: /* not relevant */
1300: if (!mark) continue;
1302: /* import extended row */
1303: mark--;
1304: start = mark * extmem + extrowcum[mark];
1305: size = ii[i + 1] - ii[i];
1306: PetscCheck(extrowcum[mark] + size <= extmem, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Not enough memory allocated %" PetscInt_FMT " > %" PetscInt_FMT, extrowcum[mark] + size, extmem);
1307: PetscCall(PetscArraycpy(extrow + start, jj + ii[i], size));
1308: extrowcum[mark] += size;
1309: }
1310: PetscCall(MatRestoreRowIJ(lGt, 0, PETSC_FALSE, PETSC_FALSE, &i, &ii, &jj, &done));
1311: PetscCall(MatDestroy(&lGt));
1312: PetscCall(PetscFree(marks));
1314: /* Compress extrows */
1315: cum = 0;
1316: for (i = 0; i < nee; i++) {
1317: PetscInt size = extrowcum[i], *start = extrow + i * extmem;
1318: PetscCall(PetscSortRemoveDupsInt(&size, start));
1319: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, size, start, PETSC_USE_POINTER, &extrows[i]));
1320: cum = PetscMax(cum, size);
1321: }
1322: PetscCall(PetscFree(extrowcum));
1323: PetscCall(PetscBTDestroy(&btv));
1324: PetscCall(PetscBTDestroy(&btvcand));
1326: /* Workspace for lapack inner calls and VecSetValues */
1327: PetscCall(PetscMalloc2((5 + cum + maxsize) * maxsize, &work, maxsize, &rwork));
1329: /* Create change of basis matrix (preallocation can be improved) */
1330: PetscCall(MatCreate(comm, &T));
1331: PetscCall(MatSetLayouts(T, pc->mat->rmap, pc->mat->cmap));
1332: PetscCall(MatSetType(T, MATAIJ));
1333: PetscCall(MatSeqAIJSetPreallocation(T, maxsize, NULL));
1334: PetscCall(MatMPIAIJSetPreallocation(T, maxsize, NULL, maxsize, NULL));
1335: PetscCall(MatSetLocalToGlobalMapping(T, al2g, al2g));
1336: PetscCall(MatSetOption(T, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));
1337: PetscCall(MatSetOption(T, MAT_ROW_ORIENTED, PETSC_FALSE));
1338: PetscCall(ISLocalToGlobalMappingDestroy(&al2g));
1340: /* Defaults to identity */
1341: for (i = pc->mat->rmap->rstart; i < pc->mat->rmap->rend; i++) PetscCall(MatSetValue(T, i, i, 1.0, INSERT_VALUES));
1343: /* Create discrete gradient for the coarser level if needed */
1344: PetscCall(MatDestroy(&pcbddc->nedcG));
1345: PetscCall(ISDestroy(&pcbddc->nedclocal));
1346: if (pcbddc->current_level < pcbddc->max_levels) {
1347: ISLocalToGlobalMapping cel2g, cvl2g;
1348: IS wis, gwis;
1349: PetscInt cnv, cne;
1351: PetscCall(ISCreateGeneral(comm, nee, cedges, PETSC_COPY_VALUES, &wis));
1352: if (fl2g) {
1353: PetscCall(ISLocalToGlobalMappingApplyIS(fl2g, wis, &pcbddc->nedclocal));
1354: } else {
1355: PetscCall(PetscObjectReference((PetscObject)wis));
1356: pcbddc->nedclocal = wis;
1357: }
1358: PetscCall(ISLocalToGlobalMappingApplyIS(el2g, wis, &gwis));
1359: PetscCall(ISDestroy(&wis));
1360: PetscCall(ISRenumber(gwis, NULL, &cne, &wis));
1361: PetscCall(ISLocalToGlobalMappingCreateIS(wis, &cel2g));
1362: PetscCall(ISDestroy(&wis));
1363: PetscCall(ISDestroy(&gwis));
1365: PetscCall(ISCreateGeneral(comm, 2 * nee, corners, PETSC_USE_POINTER, &wis));
1366: PetscCall(ISLocalToGlobalMappingApplyIS(vl2g, wis, &gwis));
1367: PetscCall(ISDestroy(&wis));
1368: PetscCall(ISRenumber(gwis, NULL, &cnv, &wis));
1369: PetscCall(ISLocalToGlobalMappingCreateIS(wis, &cvl2g));
1370: PetscCall(ISDestroy(&wis));
1371: PetscCall(ISDestroy(&gwis));
1373: PetscCall(MatCreate(comm, &pcbddc->nedcG));
1374: PetscCall(MatSetSizes(pcbddc->nedcG, PETSC_DECIDE, PETSC_DECIDE, cne, cnv));
1375: PetscCall(MatSetType(pcbddc->nedcG, MATAIJ));
1376: PetscCall(MatSeqAIJSetPreallocation(pcbddc->nedcG, 2, NULL));
1377: PetscCall(MatMPIAIJSetPreallocation(pcbddc->nedcG, 2, NULL, 2, NULL));
1378: PetscCall(MatSetLocalToGlobalMapping(pcbddc->nedcG, cel2g, cvl2g));
1379: PetscCall(ISLocalToGlobalMappingDestroy(&cel2g));
1380: PetscCall(ISLocalToGlobalMappingDestroy(&cvl2g));
1381: }
1382: PetscCall(ISLocalToGlobalMappingDestroy(&vl2g));
1384: #if defined(PRINT_GDET)
1385: inc = 0;
1386: lev = pcbddc->current_level;
1387: #endif
1389: /* Insert values in the change of basis matrix */
1390: for (i = 0; i < nee; i++) {
1391: Mat Gins = NULL, GKins = NULL;
1392: IS cornersis = NULL;
1393: PetscScalar cvals[2];
1395: if (pcbddc->nedcG) PetscCall(ISCreateGeneral(PETSC_COMM_SELF, 2, corners + 2 * i, PETSC_USE_POINTER, &cornersis));
1396: PetscCall(PCBDDCComputeNedelecChangeEdge(lG, eedges[i], extrows[i], extcols[i], cornersis, &Gins, &GKins, cvals, work, rwork));
1397: if (Gins && GKins) {
1398: const PetscScalar *data;
1399: const PetscInt *rows, *cols;
1400: PetscInt nrh, nch, nrc, ncc;
1402: PetscCall(ISGetIndices(eedges[i], &cols));
1403: /* H1 */
1404: PetscCall(ISGetIndices(extrows[i], &rows));
1405: PetscCall(MatGetSize(Gins, &nrh, &nch));
1406: PetscCall(MatDenseGetArrayRead(Gins, &data));
1407: PetscCall(MatSetValuesLocal(T, nrh, rows, nch, cols, data, INSERT_VALUES));
1408: PetscCall(MatDenseRestoreArrayRead(Gins, &data));
1409: PetscCall(ISRestoreIndices(extrows[i], &rows));
1410: /* complement */
1411: PetscCall(MatGetSize(GKins, &nrc, &ncc));
1412: PetscCheck(ncc, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Constant function has not been generated for coarse edge %" PetscInt_FMT, i);
1413: PetscCheck(ncc + nch == nrc, PETSC_COMM_SELF, PETSC_ERR_PLIB, "The sum of the number of columns of GKins %" PetscInt_FMT " and Gins %" PetscInt_FMT " does not match %" PetscInt_FMT " for coarse edge %" PetscInt_FMT, ncc, nch, nrc, i);
1414: PetscCheck(ncc == 1 || !pcbddc->nedcG, PETSC_COMM_SELF, PETSC_ERR_SUP, "Cannot generate the coarse discrete gradient for coarse edge %" PetscInt_FMT " with ncc %" PetscInt_FMT, i, ncc);
1415: PetscCall(MatDenseGetArrayRead(GKins, &data));
1416: PetscCall(MatSetValuesLocal(T, nrc, cols, ncc, cols + nch, data, INSERT_VALUES));
1417: PetscCall(MatDenseRestoreArrayRead(GKins, &data));
1419: /* coarse discrete gradient */
1420: if (pcbddc->nedcG) {
1421: PetscInt cols[2];
1423: cols[0] = 2 * i;
1424: cols[1] = 2 * i + 1;
1425: PetscCall(MatSetValuesLocal(pcbddc->nedcG, 1, &i, 2, cols, cvals, INSERT_VALUES));
1426: }
1427: PetscCall(ISRestoreIndices(eedges[i], &cols));
1428: }
1429: PetscCall(ISDestroy(&extrows[i]));
1430: PetscCall(ISDestroy(&extcols[i]));
1431: PetscCall(ISDestroy(&cornersis));
1432: PetscCall(MatDestroy(&Gins));
1433: PetscCall(MatDestroy(&GKins));
1434: }
1436: /* for FDM element-by-element: first dof on the edge only constraint. Why? */
1437: if (elements_corners && pcbddc->mat_graph->multi_element) {
1438: ISLocalToGlobalMapping map;
1439: MatNullSpace nnsp;
1440: Vec quad_vec;
1442: PetscCall(MatCreateVecs(pc->pmat, &quad_vec, NULL));
1443: PetscCall(PCBDDCNullSpaceCreate(PetscObjectComm((PetscObject)pc), PETSC_FALSE, 1, &quad_vec, &nnsp));
1444: PetscCall(VecLockReadPop(quad_vec));
1445: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &map, NULL));
1446: PetscCall(VecSetLocalToGlobalMapping(quad_vec, map));
1447: for (i = 0; i < nee; i++) {
1448: const PetscInt *idxs;
1449: PetscScalar one = 1.0;
1451: PetscCall(ISGetLocalSize(alleedges[i], &cum));
1452: if (!cum) continue;
1453: PetscCall(ISGetIndices(alleedges[i], &idxs));
1454: PetscCall(VecSetValuesLocal(quad_vec, 1, idxs, &one, INSERT_VALUES));
1455: PetscCall(ISRestoreIndices(alleedges[i], &idxs));
1456: }
1457: PetscCall(VecLockReadPush(quad_vec));
1458: PetscCall(VecDestroy(&quad_vec));
1459: PetscCall(MatSetNearNullSpace(pc->pmat, nnsp));
1460: PetscCall(MatNullSpaceDestroy(&nnsp));
1461: }
1462: PetscCall(ISLocalToGlobalMappingDestroy(&el2g));
1464: /* Start assembling */
1465: PetscCall(MatAssemblyBegin(T, MAT_FINAL_ASSEMBLY));
1466: if (pcbddc->nedcG) PetscCall(MatAssemblyBegin(pcbddc->nedcG, MAT_FINAL_ASSEMBLY));
1468: /* Free */
1469: if (fl2g) {
1470: PetscCall(ISDestroy(&primals));
1471: for (i = 0; i < nee; i++) PetscCall(ISDestroy(&eedges[i]));
1472: PetscCall(PetscFree(eedges));
1473: }
1475: /* hack mat_graph with primal dofs on the coarse edges */
1476: {
1477: PCBDDCGraph graph = pcbddc->mat_graph;
1478: PetscInt *oqueue = graph->queue;
1479: PetscInt *ocptr = graph->cptr;
1480: PetscInt ncc, *idxs;
1482: /* find first primal edge */
1483: if (pcbddc->nedclocal) {
1484: PetscCall(ISGetIndices(pcbddc->nedclocal, (const PetscInt **)&idxs));
1485: } else {
1486: if (fl2g) PetscCall(ISLocalToGlobalMappingApply(fl2g, nee, cedges, cedges));
1487: idxs = cedges;
1488: }
1489: cum = 0;
1490: while (cum < nee && cedges[cum] < 0) cum++;
1492: /* adapt connected components */
1493: PetscCall(PetscMalloc2(graph->nvtxs + 1, &graph->cptr, ocptr[graph->ncc], &graph->queue));
1494: graph->cptr[0] = 0;
1495: for (i = 0, ncc = 0; i < graph->ncc; i++) {
1496: PetscInt lc = ocptr[i + 1] - ocptr[i];
1497: if (cum != nee && oqueue[ocptr[i + 1] - 1] == cedges[cum]) { /* this cc has a primal dof */
1498: graph->cptr[ncc + 1] = graph->cptr[ncc] + 1;
1499: graph->queue[graph->cptr[ncc]] = cedges[cum];
1500: ncc++;
1501: lc--;
1502: cum++;
1503: while (cum < nee && cedges[cum] < 0) cum++;
1504: }
1505: graph->cptr[ncc + 1] = graph->cptr[ncc] + lc;
1506: for (j = 0; j < lc; j++) graph->queue[graph->cptr[ncc] + j] = oqueue[ocptr[i] + j];
1507: ncc++;
1508: }
1509: graph->ncc = ncc;
1510: if (pcbddc->nedclocal) PetscCall(ISRestoreIndices(pcbddc->nedclocal, (const PetscInt **)&idxs));
1511: PetscCall(PetscFree2(ocptr, oqueue));
1512: }
1513: PetscCall(ISLocalToGlobalMappingDestroy(&fl2g));
1514: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, &nee, &alleedges, &allprimals));
1515: PetscCall(PCBDDCGraphResetCSR(pcbddc->mat_graph));
1517: PetscCall(ISDestroy(&nedfieldlocal));
1518: PetscCall(PetscFree(extrow));
1519: PetscCall(PetscFree2(work, rwork));
1520: PetscCall(PetscFree(corners));
1521: PetscCall(PetscFree(cedges));
1522: PetscCall(PetscFree(extrows));
1523: PetscCall(PetscFree(extcols));
1524: PetscCall(MatDestroy(&lG));
1526: /* Complete assembling */
1527: PetscCall(MatAssemblyEnd(T, MAT_FINAL_ASSEMBLY));
1528: PetscCall(MatViewFromOptions(T, (PetscObject)pc, "-pc_bddc_nedelec_change_view"));
1529: if (pcbddc->nedcG) {
1530: PetscCall(MatAssemblyEnd(pcbddc->nedcG, MAT_FINAL_ASSEMBLY));
1531: PetscCall(MatViewFromOptions(pcbddc->nedcG, (PetscObject)pc, "-pc_bddc_nedelec_coarse_change_view"));
1532: }
1534: PetscCall(ISDestroy(&elements_corners));
1536: /* set change of basis */
1537: PetscCall(PCBDDCSetChangeOfBasisMat(pc, T, PETSC_FALSE));
1538: PetscCall(MatDestroy(&T));
1539: PetscFunctionReturn(PETSC_SUCCESS);
1540: }
1542: /* the near-null space of BDDC carries information on quadrature weights,
1543: and these can be collinear -> so cheat with MatNullSpaceCreate
1544: and create a suitable set of basis vectors first */
1545: PetscErrorCode PCBDDCNullSpaceCreate(MPI_Comm comm, PetscBool has_const, PetscInt nvecs, Vec quad_vecs[], MatNullSpace *nnsp)
1546: {
1547: PetscInt i;
1549: PetscFunctionBegin;
1550: for (i = 0; i < nvecs; i++) {
1551: PetscInt first, last;
1553: PetscCall(VecGetOwnershipRange(quad_vecs[i], &first, &last));
1554: PetscCheck(last - first >= 2 * nvecs || !has_const, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not implemented");
1555: if (i >= first && i < last) {
1556: PetscScalar *data;
1557: PetscCall(VecGetArray(quad_vecs[i], &data));
1558: if (!has_const) {
1559: data[i - first] = 1.;
1560: } else {
1561: data[2 * i - first] = 1. / PetscSqrtReal(2.);
1562: data[2 * i - first + 1] = -1. / PetscSqrtReal(2.);
1563: }
1564: PetscCall(VecRestoreArray(quad_vecs[i], &data));
1565: }
1566: PetscCall(PetscObjectStateIncrease((PetscObject)quad_vecs[i]));
1567: }
1568: PetscCall(MatNullSpaceCreate(comm, has_const, nvecs, quad_vecs, nnsp));
1569: for (i = 0; i < nvecs; i++) { /* reset vectors */
1570: PetscInt first, last;
1571: PetscCall(VecLockReadPop(quad_vecs[i]));
1572: PetscCall(VecGetOwnershipRange(quad_vecs[i], &first, &last));
1573: if (i >= first && i < last) {
1574: PetscScalar *data;
1575: PetscCall(VecGetArray(quad_vecs[i], &data));
1576: if (!has_const) {
1577: data[i - first] = 0.;
1578: } else {
1579: data[2 * i - first] = 0.;
1580: data[2 * i - first + 1] = 0.;
1581: }
1582: PetscCall(VecRestoreArray(quad_vecs[i], &data));
1583: }
1584: PetscCall(PetscObjectStateIncrease((PetscObject)quad_vecs[i]));
1585: PetscCall(VecLockReadPush(quad_vecs[i]));
1586: }
1587: PetscFunctionReturn(PETSC_SUCCESS);
1588: }
1590: PetscErrorCode PCBDDCComputeNoNetFlux(Mat A, Mat divudotp, PetscBool transpose, IS vl2l, PCBDDCGraph graph, MatNullSpace *nnsp)
1591: {
1592: Mat loc_divudotp;
1593: Vec p, v, quad_vec;
1594: ISLocalToGlobalMapping map;
1595: PetscScalar *array;
1597: PetscFunctionBegin;
1598: PetscCall(MatCreateVecs(A, &quad_vec, NULL));
1599: if (!transpose) {
1600: PetscCall(MatISGetLocalToGlobalMapping(A, &map, NULL));
1601: } else {
1602: PetscCall(MatISGetLocalToGlobalMapping(A, NULL, &map));
1603: }
1604: PetscCall(PCBDDCNullSpaceCreate(PetscObjectComm((PetscObject)A), PETSC_FALSE, 1, &quad_vec, nnsp));
1605: PetscCall(VecLockReadPop(quad_vec));
1606: PetscCall(VecSetLocalToGlobalMapping(quad_vec, map));
1608: /* compute local quad vec */
1609: PetscCall(MatISGetLocalMat(divudotp, &loc_divudotp));
1610: if (!transpose) {
1611: PetscCall(MatCreateVecs(loc_divudotp, &v, &p));
1612: } else {
1613: PetscCall(MatCreateVecs(loc_divudotp, &p, &v));
1614: }
1615: /* the assumption here is that the constant vector interpolates the constant on the L2 conforming space */
1616: PetscCall(VecSet(p, 1.));
1617: if (!transpose) {
1618: PetscCall(MatMultTranspose(loc_divudotp, p, v));
1619: } else {
1620: PetscCall(MatMult(loc_divudotp, p, v));
1621: }
1622: PetscCall(VecDestroy(&p));
1623: if (vl2l) {
1624: Mat lA;
1625: VecScatter sc;
1626: Vec vins;
1628: PetscCall(MatISGetLocalMat(A, &lA));
1629: PetscCall(MatCreateVecs(lA, &vins, NULL));
1630: PetscCall(VecScatterCreate(v, NULL, vins, vl2l, &sc));
1631: PetscCall(VecScatterBegin(sc, v, vins, INSERT_VALUES, SCATTER_FORWARD));
1632: PetscCall(VecScatterEnd(sc, v, vins, INSERT_VALUES, SCATTER_FORWARD));
1633: PetscCall(VecScatterDestroy(&sc));
1634: PetscCall(VecDestroy(&v));
1635: v = vins;
1636: }
1638: /* mask summation of interface values */
1639: PetscInt n, *mmask, *mask, *idxs, nmr, nr;
1640: const PetscInt *degree;
1641: PetscSF msf;
1643: PetscCall(VecGetLocalSize(v, &n));
1644: PetscCall(PetscSFGetGraph(graph->interface_subset_sf, &nr, NULL, NULL, NULL));
1645: PetscCall(PetscSFGetMultiSF(graph->interface_subset_sf, &msf));
1646: PetscCall(PetscSFGetGraph(msf, &nmr, NULL, NULL, NULL));
1647: PetscCall(PetscCalloc3(nmr, &mmask, n, &mask, n, &idxs));
1648: PetscCall(PetscSFComputeDegreeBegin(graph->interface_subset_sf, °ree));
1649: PetscCall(PetscSFComputeDegreeEnd(graph->interface_subset_sf, °ree));
1650: for (PetscInt i = 0, c = 0; i < nr; i++) {
1651: mmask[c] = 1;
1652: c += degree[i];
1653: }
1654: PetscCall(PetscSFScatterBegin(graph->interface_subset_sf, MPIU_INT, mmask, mask));
1655: PetscCall(PetscSFScatterEnd(graph->interface_subset_sf, MPIU_INT, mmask, mask));
1656: PetscCall(VecGetArray(v, &array));
1657: for (PetscInt i = 0; i < n; i++) {
1658: array[i] *= mask[i];
1659: idxs[i] = i;
1660: }
1661: PetscCall(VecSetValuesLocal(quad_vec, n, idxs, array, ADD_VALUES));
1662: PetscCall(VecRestoreArray(v, &array));
1663: PetscCall(PetscFree3(mmask, mask, idxs));
1664: PetscCall(VecDestroy(&v));
1665: PetscCall(VecAssemblyBegin(quad_vec));
1666: PetscCall(VecAssemblyEnd(quad_vec));
1667: PetscCall(VecViewFromOptions(quad_vec, NULL, "-pc_bddc_quad_vec_view"));
1668: PetscCall(VecLockReadPush(quad_vec));
1669: PetscCall(VecDestroy(&quad_vec));
1670: PetscFunctionReturn(PETSC_SUCCESS);
1671: }
1673: PetscErrorCode PCBDDCAddPrimalVerticesLocalIS(PC pc, IS primalv)
1674: {
1675: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
1677: PetscFunctionBegin;
1678: if (primalv) {
1679: if (pcbddc->user_primal_vertices_local) {
1680: IS list[2], newp;
1682: list[0] = primalv;
1683: list[1] = pcbddc->user_primal_vertices_local;
1684: PetscCall(ISConcatenate(PetscObjectComm((PetscObject)pc), 2, list, &newp));
1685: PetscCall(ISSortRemoveDups(newp));
1686: PetscCall(ISDestroy(&list[1]));
1687: pcbddc->user_primal_vertices_local = newp;
1688: } else {
1689: PetscCall(PCBDDCSetPrimalVerticesLocalIS(pc, primalv));
1690: }
1691: }
1692: PetscFunctionReturn(PETSC_SUCCESS);
1693: }
1695: static PetscErrorCode func_coords_private(PetscInt dim, PetscReal t, const PetscReal X[], PetscInt Nf, PetscScalar *out, void *ctx)
1696: {
1697: PetscInt f, *comp = (PetscInt *)ctx;
1699: PetscFunctionBegin;
1700: for (f = 0; f < Nf; f++) out[f] = X[*comp];
1701: PetscFunctionReturn(PETSC_SUCCESS);
1702: }
1704: PetscErrorCode PCBDDCComputeLocalTopologyInfo(PC pc)
1705: {
1706: Vec local, global;
1707: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
1708: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
1709: PetscBool monolithic = PETSC_FALSE;
1711: PetscFunctionBegin;
1712: PetscOptionsBegin(PetscObjectComm((PetscObject)pc), ((PetscObject)pc)->prefix, "BDDC topology options", "PC");
1713: PetscCall(PetscOptionsBool("-pc_bddc_monolithic", "Discard any information on dofs splitting", NULL, monolithic, &monolithic, NULL));
1714: PetscOptionsEnd();
1715: /* need to convert from global to local topology information and remove references to information in global ordering */
1716: PetscCall(MatCreateVecs(pc->pmat, &global, NULL));
1717: PetscCall(MatCreateVecs(matis->A, &local, NULL));
1718: PetscCall(VecBindToCPU(global, PETSC_TRUE));
1719: PetscCall(VecBindToCPU(local, PETSC_TRUE));
1720: if (monolithic) { /* just get block size to properly compute vertices */
1721: if (pcbddc->vertex_size == 1) PetscCall(MatGetBlockSize(pc->pmat, &pcbddc->vertex_size));
1722: goto boundary;
1723: }
1725: if (pcbddc->user_provided_isfordofs) {
1726: if (pcbddc->n_ISForDofs) {
1727: PetscInt i;
1729: PetscCall(PetscMalloc1(pcbddc->n_ISForDofs, &pcbddc->ISForDofsLocal));
1730: for (i = 0; i < pcbddc->n_ISForDofs; i++) {
1731: PetscInt bs;
1733: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, pcbddc->ISForDofs[i], &pcbddc->ISForDofsLocal[i]));
1734: PetscCall(ISGetBlockSize(pcbddc->ISForDofs[i], &bs));
1735: PetscCall(ISSetBlockSize(pcbddc->ISForDofsLocal[i], bs));
1736: PetscCall(ISDestroy(&pcbddc->ISForDofs[i]));
1737: }
1738: pcbddc->n_ISForDofsLocal = pcbddc->n_ISForDofs;
1739: pcbddc->n_ISForDofs = 0;
1740: PetscCall(PetscFree(pcbddc->ISForDofs));
1741: }
1742: } else {
1743: if (!pcbddc->n_ISForDofsLocal) { /* field split not present */
1744: DM dm;
1746: PetscCall(MatGetDM(pc->pmat, &dm));
1747: if (!dm) PetscCall(PCGetDM(pc, &dm));
1748: if (dm) {
1749: IS *fields;
1750: PetscInt nf, i;
1752: PetscCall(DMCreateFieldDecomposition(dm, &nf, NULL, &fields, NULL));
1753: PetscCall(PetscMalloc1(nf, &pcbddc->ISForDofsLocal));
1754: for (i = 0; i < nf; i++) {
1755: PetscInt bs;
1757: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, fields[i], &pcbddc->ISForDofsLocal[i]));
1758: PetscCall(ISGetBlockSize(fields[i], &bs));
1759: PetscCall(ISSetBlockSize(pcbddc->ISForDofsLocal[i], bs));
1760: PetscCall(ISDestroy(&fields[i]));
1761: }
1762: PetscCall(PetscFree(fields));
1763: pcbddc->n_ISForDofsLocal = nf;
1764: } else { /* See if MATIS has fields attached by the conversion from MatNest */
1765: PetscContainer c;
1767: PetscCall(PetscObjectQuery((PetscObject)pc->pmat, "_convert_nest_lfields", (PetscObject *)&c));
1768: if (c) {
1769: MatISLocalFields lf;
1770: PetscCall(PetscContainerGetPointer(c, (void **)&lf));
1771: PetscCall(PCBDDCSetDofsSplittingLocal(pc, lf->nr, lf->rf));
1772: } else { /* fallback, create the default fields if bs > 1 */
1773: PetscInt i, n = matis->A->rmap->n;
1774: PetscCall(MatGetBlockSize(pc->pmat, &i));
1775: if (i > 1) {
1776: pcbddc->n_ISForDofsLocal = i;
1777: PetscCall(PetscMalloc1(pcbddc->n_ISForDofsLocal, &pcbddc->ISForDofsLocal));
1778: for (i = 0; i < pcbddc->n_ISForDofsLocal; i++) PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), n / pcbddc->n_ISForDofsLocal, i, pcbddc->n_ISForDofsLocal, &pcbddc->ISForDofsLocal[i]));
1779: }
1780: }
1781: }
1782: } else {
1783: PetscInt i;
1784: for (i = 0; i < pcbddc->n_ISForDofsLocal; i++) PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LAND, &pcbddc->ISForDofsLocal[i]));
1785: }
1786: }
1788: boundary:
1789: if (!pcbddc->DirichletBoundariesLocal && pcbddc->DirichletBoundaries) {
1790: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, pcbddc->DirichletBoundaries, &pcbddc->DirichletBoundariesLocal));
1791: } else if (pcbddc->DirichletBoundariesLocal) {
1792: PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LAND, &pcbddc->DirichletBoundariesLocal));
1793: }
1794: if (!pcbddc->NeumannBoundariesLocal && pcbddc->NeumannBoundaries) {
1795: PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, pcbddc->NeumannBoundaries, &pcbddc->NeumannBoundariesLocal));
1796: } else if (pcbddc->NeumannBoundariesLocal) {
1797: PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LOR, &pcbddc->NeumannBoundariesLocal));
1798: }
1799: if (!pcbddc->user_primal_vertices_local && pcbddc->user_primal_vertices) PetscCall(PCBDDCGlobalToLocal(matis->rctx, global, local, pcbddc->user_primal_vertices, &pcbddc->user_primal_vertices_local));
1800: PetscCall(VecDestroy(&global));
1801: PetscCall(VecDestroy(&local));
1802: /* detect local disconnected subdomains if requested or needed */
1803: if (pcbddc->detect_disconnected || matis->allow_repeated) {
1804: IS primalv = NULL;
1805: PetscInt nel;
1806: PetscBool filter = pcbddc->detect_disconnected_filter;
1808: for (PetscInt i = 0; i < pcbddc->n_local_subs; i++) PetscCall(ISDestroy(&pcbddc->local_subs[i]));
1809: PetscCall(PetscFree(pcbddc->local_subs));
1810: PetscCall(MatGetVariableBlockSizes(matis->A, &nel, NULL));
1811: if (matis->allow_repeated && nel) {
1812: const PetscInt *elsizes;
1814: pcbddc->n_local_subs = nel;
1815: PetscCall(MatGetVariableBlockSizes(matis->A, NULL, &elsizes));
1816: PetscCall(PetscMalloc1(nel, &pcbddc->local_subs));
1817: for (PetscInt i = 0, c = 0; i < nel; i++) {
1818: PetscCall(ISCreateStride(PETSC_COMM_SELF, elsizes[i], c, 1, &pcbddc->local_subs[i]));
1819: c += elsizes[i];
1820: }
1821: } else {
1822: PetscCall(PCBDDCDetectDisconnectedComponents(pc, filter, &pcbddc->n_local_subs, &pcbddc->local_subs, &primalv));
1823: }
1824: PetscCall(PCBDDCAddPrimalVerticesLocalIS(pc, primalv));
1825: PetscCall(ISDestroy(&primalv));
1826: }
1827: /* early stage corner detection */
1828: {
1829: DM dm;
1831: PetscCall(MatGetDM(pc->pmat, &dm));
1832: if (!dm) PetscCall(PCGetDM(pc, &dm));
1833: if (dm) {
1834: PetscBool isda;
1836: PetscCall(PetscObjectTypeCompare((PetscObject)dm, DMDA, &isda));
1837: if (isda) {
1838: ISLocalToGlobalMapping l2l;
1839: IS corners;
1840: Mat lA;
1841: PetscBool gl, lo;
1843: {
1844: Vec cvec;
1845: const PetscScalar *coords;
1846: PetscInt dof, n, cdim;
1847: PetscBool memc = PETSC_TRUE;
1849: PetscCall(DMDAGetInfo(dm, NULL, NULL, NULL, NULL, NULL, NULL, NULL, &dof, NULL, NULL, NULL, NULL, NULL));
1850: PetscCall(DMGetCoordinates(dm, &cvec));
1851: PetscCall(VecGetLocalSize(cvec, &n));
1852: PetscCall(VecGetBlockSize(cvec, &cdim));
1853: n /= cdim;
1854: PetscCall(PetscFree(pcbddc->mat_graph->coords));
1855: PetscCall(PetscMalloc1(dof * n * cdim, &pcbddc->mat_graph->coords));
1856: PetscCall(VecGetArrayRead(cvec, &coords));
1857: #if defined(PETSC_USE_COMPLEX)
1858: memc = PETSC_FALSE;
1859: #endif
1860: if (dof != 1) memc = PETSC_FALSE;
1861: if (memc) {
1862: PetscCall(PetscArraycpy(pcbddc->mat_graph->coords, coords, cdim * n * dof));
1863: } else { /* BDDC graph does not use any blocked information, we need to replicate the data */
1864: PetscReal *bcoords = pcbddc->mat_graph->coords;
1865: PetscInt i, b, d;
1867: for (i = 0; i < n; i++) {
1868: for (b = 0; b < dof; b++) {
1869: for (d = 0; d < cdim; d++) bcoords[i * dof * cdim + b * cdim + d] = PetscRealPart(coords[i * cdim + d]);
1870: }
1871: }
1872: }
1873: PetscCall(VecRestoreArrayRead(cvec, &coords));
1874: pcbddc->mat_graph->cdim = cdim;
1875: pcbddc->mat_graph->cnloc = dof * n;
1876: pcbddc->mat_graph->cloc = PETSC_FALSE;
1877: }
1878: PetscCall(DMDAGetSubdomainCornersIS(dm, &corners));
1879: PetscCall(MatISGetLocalMat(pc->pmat, &lA));
1880: PetscCall(MatGetLocalToGlobalMapping(lA, &l2l, NULL));
1881: PetscCall(MatISRestoreLocalMat(pc->pmat, &lA));
1882: lo = (PetscBool)(l2l && corners);
1883: PetscCall(MPIU_Allreduce(&lo, &gl, 1, MPIU_BOOL, MPI_LAND, PetscObjectComm((PetscObject)pc)));
1884: if (gl) { /* From PETSc's DMDA */
1885: const PetscInt *idx;
1886: PetscInt dof, bs, *idxout, n;
1888: PetscCall(DMDAGetInfo(dm, NULL, NULL, NULL, NULL, NULL, NULL, NULL, &dof, NULL, NULL, NULL, NULL, NULL));
1889: PetscCall(ISLocalToGlobalMappingGetBlockSize(l2l, &bs));
1890: PetscCall(ISGetLocalSize(corners, &n));
1891: PetscCall(ISGetIndices(corners, &idx));
1892: if (bs == dof) {
1893: PetscCall(PetscMalloc1(n, &idxout));
1894: PetscCall(ISLocalToGlobalMappingApplyBlock(l2l, n, idx, idxout));
1895: } else { /* the original DMDA local-to-local map have been modified */
1896: PetscInt i, d;
1898: PetscCall(PetscMalloc1(dof * n, &idxout));
1899: for (i = 0; i < n; i++)
1900: for (d = 0; d < dof; d++) idxout[dof * i + d] = dof * idx[i] + d;
1901: PetscCall(ISLocalToGlobalMappingApply(l2l, dof * n, idxout, idxout));
1903: bs = 1;
1904: n *= dof;
1905: }
1906: PetscCall(ISRestoreIndices(corners, &idx));
1907: PetscCall(DMDARestoreSubdomainCornersIS(dm, &corners));
1908: PetscCall(ISCreateBlock(PetscObjectComm((PetscObject)pc), bs, n, idxout, PETSC_OWN_POINTER, &corners));
1909: PetscCall(PCBDDCAddPrimalVerticesLocalIS(pc, corners));
1910: PetscCall(ISDestroy(&corners));
1911: pcbddc->corner_selected = PETSC_TRUE;
1912: pcbddc->corner_selection = PETSC_TRUE;
1913: }
1914: if (corners) PetscCall(DMDARestoreSubdomainCornersIS(dm, &corners));
1915: }
1916: }
1917: }
1918: if (pcbddc->corner_selection && !pcbddc->mat_graph->cdim) {
1919: DM dm;
1921: PetscCall(MatGetDM(pc->pmat, &dm));
1922: if (!dm) PetscCall(PCGetDM(pc, &dm));
1923: if (dm) { /* this can get very expensive, I need to find a faster alternative */
1924: Vec vcoords;
1925: PetscSection section;
1926: PetscReal *coords;
1927: PetscInt d, cdim, nl, nf, **ctxs;
1928: PetscErrorCode (**funcs)(PetscInt, PetscReal, const PetscReal *, PetscInt, PetscScalar *, void *);
1929: /* debug coordinates */
1930: PetscViewer viewer;
1931: PetscBool flg;
1932: PetscViewerFormat format;
1933: const char *prefix;
1935: PetscCall(DMGetCoordinateDim(dm, &cdim));
1936: PetscCall(DMGetLocalSection(dm, §ion));
1937: PetscCall(PetscSectionGetNumFields(section, &nf));
1938: PetscCall(DMCreateGlobalVector(dm, &vcoords));
1939: PetscCall(VecGetLocalSize(vcoords, &nl));
1940: PetscCall(PetscMalloc1(nl * cdim, &coords));
1941: PetscCall(PetscMalloc2(nf, &funcs, nf, &ctxs));
1942: PetscCall(PetscMalloc1(nf, &ctxs[0]));
1943: for (d = 0; d < nf; d++) funcs[d] = func_coords_private;
1944: for (d = 1; d < nf; d++) ctxs[d] = ctxs[d - 1] + 1;
1946: /* debug coordinates */
1947: PetscCall(PCGetOptionsPrefix(pc, &prefix));
1948: PetscCall(PetscOptionsGetViewer(PetscObjectComm((PetscObject)vcoords), ((PetscObject)vcoords)->options, prefix, "-pc_bddc_coords_vec_view", &viewer, &format, &flg));
1949: if (flg) PetscCall(PetscViewerPushFormat(viewer, format));
1950: for (d = 0; d < cdim; d++) {
1951: PetscInt i;
1952: const PetscScalar *v;
1953: char name[16];
1955: for (i = 0; i < nf; i++) ctxs[i][0] = d;
1956: PetscCall(PetscSNPrintf(name, sizeof(name), "bddc_coords_%d", (int)d));
1957: PetscCall(PetscObjectSetName((PetscObject)vcoords, name));
1958: PetscCall(DMProjectFunction(dm, 0.0, funcs, (void **)ctxs, INSERT_VALUES, vcoords));
1959: if (flg) PetscCall(VecView(vcoords, viewer));
1960: PetscCall(VecGetArrayRead(vcoords, &v));
1961: for (i = 0; i < nl; i++) coords[i * cdim + d] = PetscRealPart(v[i]);
1962: PetscCall(VecRestoreArrayRead(vcoords, &v));
1963: }
1964: PetscCall(VecDestroy(&vcoords));
1965: PetscCall(PCSetCoordinates(pc, cdim, nl, coords));
1966: PetscCall(PetscFree(coords));
1967: PetscCall(PetscFree(ctxs[0]));
1968: PetscCall(PetscFree2(funcs, ctxs));
1969: if (flg) {
1970: PetscCall(PetscViewerPopFormat(viewer));
1971: PetscCall(PetscOptionsRestoreViewer(&viewer));
1972: }
1973: }
1974: }
1975: PetscFunctionReturn(PETSC_SUCCESS);
1976: }
1978: PetscErrorCode PCBDDCConsistencyCheckIS(PC pc, MPI_Op mop, IS *is)
1979: {
1980: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
1981: IS nis;
1982: const PetscInt *idxs;
1983: PetscInt i, nd, n = matis->A->rmap->n, *nidxs, nnd;
1985: PetscFunctionBegin;
1986: PetscCheck(mop == MPI_LAND || mop == MPI_LOR, PetscObjectComm((PetscObject)(pc)), PETSC_ERR_SUP, "Supported are MPI_LAND and MPI_LOR");
1987: if (mop == MPI_LAND) {
1988: /* init rootdata with true */
1989: for (i = 0; i < pc->pmat->rmap->n; i++) matis->sf_rootdata[i] = 1;
1990: } else {
1991: PetscCall(PetscArrayzero(matis->sf_rootdata, pc->pmat->rmap->n));
1992: }
1993: PetscCall(PetscArrayzero(matis->sf_leafdata, n));
1994: PetscCall(ISGetLocalSize(*is, &nd));
1995: PetscCall(ISGetIndices(*is, &idxs));
1996: for (i = 0; i < nd; i++)
1997: if (-1 < idxs[i] && idxs[i] < n) matis->sf_leafdata[idxs[i]] = 1;
1998: PetscCall(ISRestoreIndices(*is, &idxs));
1999: PetscCall(PetscSFReduceBegin(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, mop));
2000: PetscCall(PetscSFReduceEnd(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, mop));
2001: PetscCall(PetscSFBcastBegin(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
2002: PetscCall(PetscSFBcastEnd(matis->sf, MPIU_INT, matis->sf_rootdata, matis->sf_leafdata, MPI_REPLACE));
2003: if (mop == MPI_LAND) {
2004: PetscCall(PetscMalloc1(nd, &nidxs));
2005: } else {
2006: PetscCall(PetscMalloc1(n, &nidxs));
2007: }
2008: for (i = 0, nnd = 0; i < n; i++)
2009: if (matis->sf_leafdata[i]) nidxs[nnd++] = i;
2010: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)*is), nnd, nidxs, PETSC_OWN_POINTER, &nis));
2011: PetscCall(ISDestroy(is));
2012: *is = nis;
2013: PetscFunctionReturn(PETSC_SUCCESS);
2014: }
2016: PetscErrorCode PCBDDCBenignRemoveInterior(PC pc, Vec r, Vec z)
2017: {
2018: PC_IS *pcis = (PC_IS *)pc->data;
2019: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2021: PetscFunctionBegin;
2022: if (!pcbddc->benign_have_null) PetscFunctionReturn(PETSC_SUCCESS);
2023: if (pcbddc->ChangeOfBasisMatrix) {
2024: Vec swap;
2026: PetscCall(MatMultTranspose(pcbddc->ChangeOfBasisMatrix, r, pcbddc->work_change));
2027: swap = pcbddc->work_change;
2028: pcbddc->work_change = r;
2029: r = swap;
2030: }
2031: PetscCall(VecScatterBegin(pcis->global_to_D, r, pcis->vec1_D, INSERT_VALUES, SCATTER_FORWARD));
2032: PetscCall(VecScatterEnd(pcis->global_to_D, r, pcis->vec1_D, INSERT_VALUES, SCATTER_FORWARD));
2033: PetscCall(PetscLogEventBegin(PC_BDDC_Solves[pcbddc->current_level][0], pc, 0, 0, 0));
2034: PetscCall(KSPSolve(pcbddc->ksp_D, pcis->vec1_D, pcis->vec2_D));
2035: PetscCall(PetscLogEventEnd(PC_BDDC_Solves[pcbddc->current_level][0], pc, 0, 0, 0));
2036: PetscCall(KSPCheckSolve(pcbddc->ksp_D, pc, pcis->vec2_D));
2037: PetscCall(VecSet(z, 0.));
2038: PetscCall(VecScatterBegin(pcis->global_to_D, pcis->vec2_D, z, INSERT_VALUES, SCATTER_REVERSE));
2039: PetscCall(VecScatterEnd(pcis->global_to_D, pcis->vec2_D, z, INSERT_VALUES, SCATTER_REVERSE));
2040: if (pcbddc->ChangeOfBasisMatrix) {
2041: pcbddc->work_change = r;
2042: PetscCall(VecCopy(z, pcbddc->work_change));
2043: PetscCall(MatMult(pcbddc->ChangeOfBasisMatrix, pcbddc->work_change, z));
2044: }
2045: PetscFunctionReturn(PETSC_SUCCESS);
2046: }
2048: static PetscErrorCode PCBDDCBenignMatMult_Private_Private(Mat A, Vec x, Vec y, PetscBool transpose)
2049: {
2050: PCBDDCBenignMatMult_ctx ctx;
2051: PetscBool apply_right, apply_left, reset_x;
2053: PetscFunctionBegin;
2054: PetscCall(MatShellGetContext(A, &ctx));
2055: if (transpose) {
2056: apply_right = ctx->apply_left;
2057: apply_left = ctx->apply_right;
2058: } else {
2059: apply_right = ctx->apply_right;
2060: apply_left = ctx->apply_left;
2061: }
2062: reset_x = PETSC_FALSE;
2063: if (apply_right) {
2064: const PetscScalar *ax;
2065: PetscInt nl, i;
2067: PetscCall(VecGetLocalSize(x, &nl));
2068: PetscCall(VecGetArrayRead(x, &ax));
2069: PetscCall(PetscArraycpy(ctx->work, ax, nl));
2070: PetscCall(VecRestoreArrayRead(x, &ax));
2071: for (i = 0; i < ctx->benign_n; i++) {
2072: PetscScalar sum, val;
2073: const PetscInt *idxs;
2074: PetscInt nz, j;
2075: PetscCall(ISGetLocalSize(ctx->benign_zerodiag_subs[i], &nz));
2076: PetscCall(ISGetIndices(ctx->benign_zerodiag_subs[i], &idxs));
2077: sum = 0.;
2078: if (ctx->apply_p0) {
2079: val = ctx->work[idxs[nz - 1]];
2080: for (j = 0; j < nz - 1; j++) {
2081: sum += ctx->work[idxs[j]];
2082: ctx->work[idxs[j]] += val;
2083: }
2084: } else {
2085: for (j = 0; j < nz - 1; j++) sum += ctx->work[idxs[j]];
2086: }
2087: ctx->work[idxs[nz - 1]] -= sum;
2088: PetscCall(ISRestoreIndices(ctx->benign_zerodiag_subs[i], &idxs));
2089: }
2090: PetscCall(VecPlaceArray(x, ctx->work));
2091: reset_x = PETSC_TRUE;
2092: }
2093: if (transpose) {
2094: PetscCall(MatMultTranspose(ctx->A, x, y));
2095: } else {
2096: PetscCall(MatMult(ctx->A, x, y));
2097: }
2098: if (reset_x) PetscCall(VecResetArray(x));
2099: if (apply_left) {
2100: PetscScalar *ay;
2101: PetscInt i;
2103: PetscCall(VecGetArray(y, &ay));
2104: for (i = 0; i < ctx->benign_n; i++) {
2105: PetscScalar sum, val;
2106: const PetscInt *idxs;
2107: PetscInt nz, j;
2108: PetscCall(ISGetLocalSize(ctx->benign_zerodiag_subs[i], &nz));
2109: PetscCall(ISGetIndices(ctx->benign_zerodiag_subs[i], &idxs));
2110: val = -ay[idxs[nz - 1]];
2111: if (ctx->apply_p0) {
2112: sum = 0.;
2113: for (j = 0; j < nz - 1; j++) {
2114: sum += ay[idxs[j]];
2115: ay[idxs[j]] += val;
2116: }
2117: ay[idxs[nz - 1]] += sum;
2118: } else {
2119: for (j = 0; j < nz - 1; j++) ay[idxs[j]] += val;
2120: ay[idxs[nz - 1]] = 0.;
2121: }
2122: PetscCall(ISRestoreIndices(ctx->benign_zerodiag_subs[i], &idxs));
2123: }
2124: PetscCall(VecRestoreArray(y, &ay));
2125: }
2126: PetscFunctionReturn(PETSC_SUCCESS);
2127: }
2129: static PetscErrorCode PCBDDCBenignMatMultTranspose_Private(Mat A, Vec x, Vec y)
2130: {
2131: PetscFunctionBegin;
2132: PetscCall(PCBDDCBenignMatMult_Private_Private(A, x, y, PETSC_TRUE));
2133: PetscFunctionReturn(PETSC_SUCCESS);
2134: }
2136: static PetscErrorCode PCBDDCBenignMatMult_Private(Mat A, Vec x, Vec y)
2137: {
2138: PetscFunctionBegin;
2139: PetscCall(PCBDDCBenignMatMult_Private_Private(A, x, y, PETSC_FALSE));
2140: PetscFunctionReturn(PETSC_SUCCESS);
2141: }
2143: PetscErrorCode PCBDDCBenignShellMat(PC pc, PetscBool restore)
2144: {
2145: PC_IS *pcis = (PC_IS *)pc->data;
2146: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2147: PCBDDCBenignMatMult_ctx ctx;
2149: PetscFunctionBegin;
2150: if (!restore) {
2151: Mat A_IB, A_BI;
2152: PetscScalar *work;
2153: PCBDDCReuseSolvers reuse = pcbddc->sub_schurs ? pcbddc->sub_schurs->reuse_solver : NULL;
2155: PetscCheck(!pcbddc->benign_original_mat, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Benign original mat has not been restored");
2156: if (!pcbddc->benign_change || !pcbddc->benign_n || pcbddc->benign_change_explicit) PetscFunctionReturn(PETSC_SUCCESS);
2157: PetscCall(PetscMalloc1(pcis->n, &work));
2158: PetscCall(MatCreate(PETSC_COMM_SELF, &A_IB));
2159: PetscCall(MatSetSizes(A_IB, pcis->n - pcis->n_B, pcis->n_B, PETSC_DECIDE, PETSC_DECIDE));
2160: PetscCall(MatSetType(A_IB, MATSHELL));
2161: PetscCall(MatShellSetOperation(A_IB, MATOP_MULT, (void (*)(void))PCBDDCBenignMatMult_Private));
2162: PetscCall(MatShellSetOperation(A_IB, MATOP_MULT_TRANSPOSE, (void (*)(void))PCBDDCBenignMatMultTranspose_Private));
2163: PetscCall(PetscNew(&ctx));
2164: PetscCall(MatShellSetContext(A_IB, ctx));
2165: ctx->apply_left = PETSC_TRUE;
2166: ctx->apply_right = PETSC_FALSE;
2167: ctx->apply_p0 = PETSC_FALSE;
2168: ctx->benign_n = pcbddc->benign_n;
2169: if (reuse) {
2170: ctx->benign_zerodiag_subs = reuse->benign_zerodiag_subs;
2171: ctx->free = PETSC_FALSE;
2172: } else { /* TODO: could be optimized for successive solves */
2173: ISLocalToGlobalMapping N_to_D;
2174: PetscInt i;
2176: PetscCall(ISLocalToGlobalMappingCreateIS(pcis->is_I_local, &N_to_D));
2177: PetscCall(PetscMalloc1(pcbddc->benign_n, &ctx->benign_zerodiag_subs));
2178: for (i = 0; i < pcbddc->benign_n; i++) PetscCall(ISGlobalToLocalMappingApplyIS(N_to_D, IS_GTOLM_DROP, pcbddc->benign_zerodiag_subs[i], &ctx->benign_zerodiag_subs[i]));
2179: PetscCall(ISLocalToGlobalMappingDestroy(&N_to_D));
2180: ctx->free = PETSC_TRUE;
2181: }
2182: ctx->A = pcis->A_IB;
2183: ctx->work = work;
2184: PetscCall(MatSetUp(A_IB));
2185: PetscCall(MatAssemblyBegin(A_IB, MAT_FINAL_ASSEMBLY));
2186: PetscCall(MatAssemblyEnd(A_IB, MAT_FINAL_ASSEMBLY));
2187: pcis->A_IB = A_IB;
2189: /* A_BI as A_IB^T */
2190: PetscCall(MatCreateTranspose(A_IB, &A_BI));
2191: pcbddc->benign_original_mat = pcis->A_BI;
2192: pcis->A_BI = A_BI;
2193: } else {
2194: if (!pcbddc->benign_original_mat) PetscFunctionReturn(PETSC_SUCCESS);
2195: PetscCall(MatShellGetContext(pcis->A_IB, &ctx));
2196: PetscCall(MatDestroy(&pcis->A_IB));
2197: pcis->A_IB = ctx->A;
2198: ctx->A = NULL;
2199: PetscCall(MatDestroy(&pcis->A_BI));
2200: pcis->A_BI = pcbddc->benign_original_mat;
2201: pcbddc->benign_original_mat = NULL;
2202: if (ctx->free) {
2203: PetscInt i;
2204: for (i = 0; i < ctx->benign_n; i++) PetscCall(ISDestroy(&ctx->benign_zerodiag_subs[i]));
2205: PetscCall(PetscFree(ctx->benign_zerodiag_subs));
2206: }
2207: PetscCall(PetscFree(ctx->work));
2208: PetscCall(PetscFree(ctx));
2209: }
2210: PetscFunctionReturn(PETSC_SUCCESS);
2211: }
2213: /* used just in bddc debug mode */
2214: static PetscErrorCode PCBDDCBenignProject(PC pc, IS is1, IS is2, Mat *B)
2215: {
2216: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2217: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
2218: Mat An;
2220: PetscFunctionBegin;
2221: PetscCall(MatPtAP(matis->A, pcbddc->benign_change, MAT_INITIAL_MATRIX, 2.0, &An));
2222: PetscCall(MatZeroRowsColumns(An, pcbddc->benign_n, pcbddc->benign_p0_lidx, 1.0, NULL, NULL));
2223: if (is1) {
2224: PetscCall(MatCreateSubMatrix(An, is1, is2, MAT_INITIAL_MATRIX, B));
2225: PetscCall(MatDestroy(&An));
2226: } else {
2227: *B = An;
2228: }
2229: PetscFunctionReturn(PETSC_SUCCESS);
2230: }
2232: /* TODO: add reuse flag */
2233: PetscErrorCode MatSeqAIJCompress(Mat A, Mat *B)
2234: {
2235: Mat Bt;
2236: PetscScalar *a, *bdata;
2237: const PetscInt *ii, *ij;
2238: PetscInt m, n, i, nnz, *bii, *bij;
2239: PetscBool flg_row;
2241: PetscFunctionBegin;
2242: PetscCall(MatGetSize(A, &n, &m));
2243: PetscCall(MatGetRowIJ(A, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &ij, &flg_row));
2244: PetscCall(MatSeqAIJGetArray(A, &a));
2245: nnz = n;
2246: for (i = 0; i < ii[n]; i++) {
2247: if (PetscLikely(PetscAbsScalar(a[i]) > PETSC_SMALL)) nnz++;
2248: }
2249: PetscCall(PetscMalloc1(n + 1, &bii));
2250: PetscCall(PetscMalloc1(nnz, &bij));
2251: PetscCall(PetscMalloc1(nnz, &bdata));
2252: nnz = 0;
2253: bii[0] = 0;
2254: for (i = 0; i < n; i++) {
2255: PetscInt j;
2256: for (j = ii[i]; j < ii[i + 1]; j++) {
2257: PetscScalar entry = a[j];
2258: if (PetscLikely(PetscAbsScalar(entry) > PETSC_SMALL) || (n == m && ij[j] == i)) {
2259: bij[nnz] = ij[j];
2260: bdata[nnz] = entry;
2261: nnz++;
2262: }
2263: }
2264: bii[i + 1] = nnz;
2265: }
2266: PetscCall(MatSeqAIJRestoreArray(A, &a));
2267: PetscCall(MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A), n, m, bii, bij, bdata, &Bt));
2268: PetscCall(MatRestoreRowIJ(A, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &ij, &flg_row));
2269: {
2270: Mat_SeqAIJ *b = (Mat_SeqAIJ *)Bt->data;
2271: b->free_a = PETSC_TRUE;
2272: b->free_ij = PETSC_TRUE;
2273: }
2274: if (*B == A) PetscCall(MatDestroy(&A));
2275: *B = Bt;
2276: PetscFunctionReturn(PETSC_SUCCESS);
2277: }
2279: PetscErrorCode PCBDDCDetectDisconnectedComponents(PC pc, PetscBool filter, PetscInt *ncc, IS *cc[], IS *primalv)
2280: {
2281: Mat B = NULL;
2282: DM dm;
2283: IS is_dummy, *cc_n;
2284: ISLocalToGlobalMapping l2gmap_dummy;
2285: PCBDDCGraph graph;
2286: PetscInt *xadj_filtered = NULL, *adjncy_filtered = NULL;
2287: PetscInt i, n;
2288: PetscInt *xadj, *adjncy;
2289: PetscBool isplex = PETSC_FALSE;
2291: PetscFunctionBegin;
2292: if (ncc) *ncc = 0;
2293: if (cc) *cc = NULL;
2294: if (primalv) *primalv = NULL;
2295: PetscCall(PCBDDCGraphCreate(&graph));
2296: PetscCall(MatGetDM(pc->pmat, &dm));
2297: if (!dm) PetscCall(PCGetDM(pc, &dm));
2298: if (dm) PetscCall(PetscObjectTypeCompareAny((PetscObject)dm, &isplex, DMPLEX, DMP4EST, DMP8EST, ""));
2299: if (filter) isplex = PETSC_FALSE;
2301: if (isplex) { /* this code has been modified from plexpartition.c */
2302: PetscInt p, pStart, pEnd, a, adjSize, idx, size, nroots;
2303: PetscInt *adj = NULL;
2304: IS cellNumbering;
2305: const PetscInt *cellNum;
2306: PetscBool useCone, useClosure;
2307: PetscSection section;
2308: PetscSegBuffer adjBuffer;
2309: PetscSF sfPoint;
2311: PetscCall(DMConvert(dm, DMPLEX, &dm));
2312: PetscCall(DMPlexGetHeightStratum(dm, 0, &pStart, &pEnd));
2313: PetscCall(DMGetPointSF(dm, &sfPoint));
2314: PetscCall(PetscSFGetGraph(sfPoint, &nroots, NULL, NULL, NULL));
2315: /* Build adjacency graph via a section/segbuffer */
2316: PetscCall(PetscSectionCreate(PetscObjectComm((PetscObject)dm), §ion));
2317: PetscCall(PetscSectionSetChart(section, pStart, pEnd));
2318: PetscCall(PetscSegBufferCreate(sizeof(PetscInt), 1000, &adjBuffer));
2319: /* Always use FVM adjacency to create partitioner graph */
2320: PetscCall(DMGetBasicAdjacency(dm, &useCone, &useClosure));
2321: PetscCall(DMSetBasicAdjacency(dm, PETSC_TRUE, PETSC_FALSE));
2322: PetscCall(DMPlexGetCellNumbering(dm, &cellNumbering));
2323: PetscCall(ISGetIndices(cellNumbering, &cellNum));
2324: for (n = 0, p = pStart; p < pEnd; p++) {
2325: /* Skip non-owned cells in parallel (ParMetis expects no overlap) */
2326: if (nroots > 0) {
2327: if (cellNum[p] < 0) continue;
2328: }
2329: adjSize = PETSC_DETERMINE;
2330: PetscCall(DMPlexGetAdjacency(dm, p, &adjSize, &adj));
2331: for (a = 0; a < adjSize; ++a) {
2332: const PetscInt point = adj[a];
2333: if (pStart <= point && point < pEnd) {
2334: PetscInt *PETSC_RESTRICT pBuf;
2335: PetscCall(PetscSectionAddDof(section, p, 1));
2336: PetscCall(PetscSegBufferGetInts(adjBuffer, 1, &pBuf));
2337: *pBuf = point;
2338: }
2339: }
2340: n++;
2341: }
2342: PetscCall(DMSetBasicAdjacency(dm, useCone, useClosure));
2343: /* Derive CSR graph from section/segbuffer */
2344: PetscCall(PetscSectionSetUp(section));
2345: PetscCall(PetscSectionGetStorageSize(section, &size));
2346: PetscCall(PetscMalloc1(n + 1, &xadj));
2347: for (idx = 0, p = pStart; p < pEnd; p++) {
2348: if (nroots > 0) {
2349: if (cellNum[p] < 0) continue;
2350: }
2351: PetscCall(PetscSectionGetOffset(section, p, &xadj[idx++]));
2352: }
2353: xadj[n] = size;
2354: PetscCall(PetscSegBufferExtractAlloc(adjBuffer, &adjncy));
2355: /* Clean up */
2356: PetscCall(PetscSegBufferDestroy(&adjBuffer));
2357: PetscCall(PetscSectionDestroy(§ion));
2358: PetscCall(PetscFree(adj));
2359: graph->xadj = xadj;
2360: graph->adjncy = adjncy;
2361: } else {
2362: Mat A;
2363: PetscBool isseqaij, flg_row;
2365: PetscCall(MatISGetLocalMat(pc->pmat, &A));
2366: if (!A->rmap->N || !A->cmap->N) {
2367: PetscCall(PCBDDCGraphDestroy(&graph));
2368: PetscFunctionReturn(PETSC_SUCCESS);
2369: }
2370: PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATSEQAIJ, &isseqaij));
2371: if (!isseqaij && filter) {
2372: PetscBool isseqdense;
2374: PetscCall(PetscObjectTypeCompare((PetscObject)A, MATSEQDENSE, &isseqdense));
2375: if (!isseqdense) {
2376: PetscCall(MatConvert(A, MATSEQAIJ, MAT_INITIAL_MATRIX, &B));
2377: } else { /* TODO: rectangular case and LDA */
2378: PetscScalar *array;
2379: PetscReal chop = 1.e-6;
2381: PetscCall(MatDuplicate(A, MAT_COPY_VALUES, &B));
2382: PetscCall(MatDenseGetArray(B, &array));
2383: PetscCall(MatGetSize(B, &n, NULL));
2384: for (i = 0; i < n; i++) {
2385: PetscInt j;
2386: for (j = i + 1; j < n; j++) {
2387: PetscReal thresh = chop * (PetscAbsScalar(array[i * (n + 1)]) + PetscAbsScalar(array[j * (n + 1)]));
2388: if (PetscAbsScalar(array[i * n + j]) < thresh) array[i * n + j] = 0.;
2389: if (PetscAbsScalar(array[j * n + i]) < thresh) array[j * n + i] = 0.;
2390: }
2391: }
2392: PetscCall(MatDenseRestoreArray(B, &array));
2393: PetscCall(MatConvert(B, MATSEQAIJ, MAT_INPLACE_MATRIX, &B));
2394: }
2395: } else {
2396: PetscCall(PetscObjectReference((PetscObject)A));
2397: B = A;
2398: }
2399: PetscCall(MatGetRowIJ(B, 0, PETSC_TRUE, PETSC_FALSE, &n, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
2401: /* if filter is true, then removes entries lower than PETSC_SMALL in magnitude */
2402: if (filter) {
2403: PetscScalar *data;
2404: PetscInt j, cum;
2406: PetscCall(PetscCalloc2(n + 1, &xadj_filtered, xadj[n], &adjncy_filtered));
2407: PetscCall(MatSeqAIJGetArray(B, &data));
2408: cum = 0;
2409: for (i = 0; i < n; i++) {
2410: PetscInt t;
2412: for (j = xadj[i]; j < xadj[i + 1]; j++) {
2413: if (PetscUnlikely(PetscAbsScalar(data[j]) < PETSC_SMALL)) continue;
2414: adjncy_filtered[cum + xadj_filtered[i]++] = adjncy[j];
2415: }
2416: t = xadj_filtered[i];
2417: xadj_filtered[i] = cum;
2418: cum += t;
2419: }
2420: PetscCall(MatSeqAIJRestoreArray(B, &data));
2421: graph->xadj = xadj_filtered;
2422: graph->adjncy = adjncy_filtered;
2423: } else {
2424: graph->xadj = xadj;
2425: graph->adjncy = adjncy;
2426: }
2427: }
2428: /* compute local connected components using PCBDDCGraph */
2429: graph->seq_graph = PETSC_TRUE; /* analyze local connected components (i.e. disconnected subdomains) irrespective of dofs count */
2430: PetscCall(ISCreateStride(PETSC_COMM_SELF, n, 0, 1, &is_dummy));
2431: PetscCall(ISLocalToGlobalMappingCreateIS(is_dummy, &l2gmap_dummy));
2432: PetscCall(ISDestroy(&is_dummy));
2433: PetscCall(PCBDDCGraphInit(graph, l2gmap_dummy, n, PETSC_MAX_INT));
2434: PetscCall(ISLocalToGlobalMappingDestroy(&l2gmap_dummy));
2435: PetscCall(PCBDDCGraphSetUp(graph, 1, NULL, NULL, 0, NULL, NULL));
2436: PetscCall(PCBDDCGraphComputeConnectedComponents(graph));
2438: /* partial clean up */
2439: PetscCall(PetscFree2(xadj_filtered, adjncy_filtered));
2440: if (B) {
2441: PetscBool flg_row;
2442: PetscCall(MatRestoreRowIJ(B, 0, PETSC_TRUE, PETSC_FALSE, &n, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
2443: PetscCall(MatDestroy(&B));
2444: }
2445: if (isplex) {
2446: PetscCall(PetscFree(xadj));
2447: PetscCall(PetscFree(adjncy));
2448: }
2450: /* get back data */
2451: if (isplex) {
2452: if (ncc) *ncc = graph->ncc;
2453: if (cc || primalv) {
2454: Mat A;
2455: PetscBT btv, btvt, btvc;
2456: PetscSection subSection;
2457: PetscInt *ids, cum, cump, *cids, *pids;
2458: PetscInt dim, cStart, cEnd, fStart, fEnd, vStart, vEnd, pStart, pEnd;
2460: PetscCall(DMGetDimension(dm, &dim));
2461: PetscCall(DMPlexGetSubdomainSection(dm, &subSection));
2462: PetscCall(DMPlexGetHeightStratum(dm, 1, &fStart, &fEnd));
2463: PetscCall(DMPlexGetHeightStratum(dm, 0, &cStart, &cEnd));
2464: PetscCall(DMPlexGetDepthStratum(dm, 0, &vStart, &vEnd));
2465: PetscCall(DMPlexGetChart(dm, &pStart, &pEnd));
2466: PetscCall(MatISGetLocalMat(pc->pmat, &A));
2467: PetscCall(PetscMalloc3(A->rmap->n, &ids, graph->ncc + 1, &cids, A->rmap->n, &pids));
2468: PetscCall(PetscBTCreate(A->rmap->n, &btv));
2469: PetscCall(PetscBTCreate(A->rmap->n, &btvt));
2470: PetscCall(PetscBTCreate(pEnd - pStart, &btvc));
2472: /* First see if we find corners for the subdomains, i.e. a vertex
2473: shared by at least dim subdomain boundary faces. This does not
2474: cover all the possible cases with simplices but it is enough
2475: for tensor cells */
2476: if (vStart != fStart && dim <= 3) {
2477: for (PetscInt c = cStart; c < cEnd; c++) {
2478: PetscInt nf, cnt = 0, mcnt = dim, *cfaces;
2479: const PetscInt *faces;
2481: PetscCall(DMPlexGetConeSize(dm, c, &nf));
2482: PetscCall(DMGetWorkArray(dm, nf, MPIU_INT, &cfaces));
2483: PetscCall(DMPlexGetCone(dm, c, &faces));
2484: for (PetscInt f = 0; f < nf; f++) {
2485: PetscInt nc, ff;
2487: PetscCall(DMPlexGetSupportSize(dm, faces[f], &nc));
2488: PetscCall(DMPlexGetTreeParent(dm, faces[f], &ff, NULL));
2489: if (nc == 1 && faces[f] == ff) cfaces[cnt++] = faces[f];
2490: }
2491: if (cnt >= mcnt) {
2492: PetscInt size, *closure = NULL;
2494: PetscCall(DMPlexGetTransitiveClosure(dm, c, PETSC_TRUE, &size, &closure));
2495: for (PetscInt k = 0; k < 2 * size; k += 2) {
2496: PetscInt v = closure[k];
2497: if (v >= vStart && v < vEnd) {
2498: PetscInt vsize, *vclosure = NULL;
2500: cnt = 0;
2501: PetscCall(DMPlexGetTransitiveClosure(dm, v, PETSC_FALSE, &vsize, &vclosure));
2502: for (PetscInt vk = 0; vk < 2 * vsize; vk += 2) {
2503: PetscInt f = vclosure[vk];
2504: if (f >= fStart && f < fEnd) {
2505: PetscInt nc, ff;
2506: PetscBool valid = PETSC_FALSE;
2508: for (PetscInt fk = 0; fk < nf; fk++)
2509: if (f == cfaces[fk]) valid = PETSC_TRUE;
2510: if (!valid) continue;
2511: PetscCall(DMPlexGetSupportSize(dm, f, &nc));
2512: PetscCall(DMPlexGetTreeParent(dm, f, &ff, NULL));
2513: if (nc == 1 && f == ff) cnt++;
2514: }
2515: }
2516: if (cnt >= mcnt) PetscCall(PetscBTSet(btvc, v - pStart));
2517: PetscCall(DMPlexRestoreTransitiveClosure(dm, v, PETSC_FALSE, &vsize, &vclosure));
2518: }
2519: }
2520: PetscCall(DMPlexRestoreTransitiveClosure(dm, c, PETSC_TRUE, &size, &closure));
2521: }
2522: PetscCall(DMRestoreWorkArray(dm, nf, MPIU_INT, &cfaces));
2523: }
2524: }
2526: cids[0] = 0;
2527: for (i = 0, cump = 0, cum = 0; i < graph->ncc; i++) {
2528: PetscInt j;
2530: PetscCall(PetscBTMemzero(A->rmap->n, btvt));
2531: for (j = graph->cptr[i]; j < graph->cptr[i + 1]; j++) {
2532: PetscInt k, size, *closure = NULL, cell = graph->queue[j];
2534: PetscCall(DMPlexGetTransitiveClosure(dm, cell, PETSC_TRUE, &size, &closure));
2535: for (k = 0; k < 2 * size; k += 2) {
2536: PetscInt s, pp, p = closure[k], off, dof, cdof;
2538: PetscCall(PetscSectionGetConstraintDof(subSection, p, &cdof));
2539: PetscCall(PetscSectionGetOffset(subSection, p, &off));
2540: PetscCall(PetscSectionGetDof(subSection, p, &dof));
2541: for (s = 0; s < dof - cdof; s++) {
2542: if (PetscBTLookupSet(btvt, off + s)) continue;
2543: if (PetscBTLookup(btvc, p - pStart)) pids[cump++] = off + s; /* subdomain corner */
2544: else if (!PetscBTLookup(btv, off + s)) ids[cum++] = off + s;
2545: else pids[cump++] = off + s; /* cross-vertex */
2546: }
2547: PetscCall(DMPlexGetTreeParent(dm, p, &pp, NULL));
2548: if (pp != p) {
2549: PetscCall(PetscSectionGetConstraintDof(subSection, pp, &cdof));
2550: PetscCall(PetscSectionGetOffset(subSection, pp, &off));
2551: PetscCall(PetscSectionGetDof(subSection, pp, &dof));
2552: for (s = 0; s < dof - cdof; s++) {
2553: if (PetscBTLookupSet(btvt, off + s)) continue;
2554: if (PetscBTLookup(btvc, pp - pStart)) pids[cump++] = off + s; /* subdomain corner */
2555: else if (!PetscBTLookup(btv, off + s)) ids[cum++] = off + s;
2556: else pids[cump++] = off + s; /* cross-vertex */
2557: }
2558: }
2559: }
2560: PetscCall(DMPlexRestoreTransitiveClosure(dm, cell, PETSC_TRUE, &size, &closure));
2561: }
2562: cids[i + 1] = cum;
2563: /* mark dofs as already assigned */
2564: for (j = cids[i]; j < cids[i + 1]; j++) PetscCall(PetscBTSet(btv, ids[j]));
2565: }
2566: if (cc) {
2567: PetscCall(PetscMalloc1(graph->ncc, &cc_n));
2568: for (i = 0; i < graph->ncc; i++) PetscCall(ISCreateGeneral(PETSC_COMM_SELF, cids[i + 1] - cids[i], ids + cids[i], PETSC_COPY_VALUES, &cc_n[i]));
2569: *cc = cc_n;
2570: }
2571: if (primalv) PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), cump, pids, PETSC_COPY_VALUES, primalv));
2572: PetscCall(PetscFree3(ids, cids, pids));
2573: PetscCall(PetscBTDestroy(&btv));
2574: PetscCall(PetscBTDestroy(&btvt));
2575: PetscCall(PetscBTDestroy(&btvc));
2576: PetscCall(DMDestroy(&dm));
2577: }
2578: } else {
2579: if (ncc) *ncc = graph->ncc;
2580: if (cc) {
2581: PetscCall(PetscMalloc1(graph->ncc, &cc_n));
2582: for (i = 0; i < graph->ncc; i++) PetscCall(ISCreateGeneral(PETSC_COMM_SELF, graph->cptr[i + 1] - graph->cptr[i], graph->queue + graph->cptr[i], PETSC_COPY_VALUES, &cc_n[i]));
2583: *cc = cc_n;
2584: }
2585: }
2586: /* clean up graph */
2587: graph->xadj = NULL;
2588: graph->adjncy = NULL;
2589: PetscCall(PCBDDCGraphDestroy(&graph));
2590: PetscFunctionReturn(PETSC_SUCCESS);
2591: }
2593: PetscErrorCode PCBDDCBenignCheck(PC pc, IS zerodiag)
2594: {
2595: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2596: PC_IS *pcis = (PC_IS *)pc->data;
2597: IS dirIS = NULL;
2598: PetscInt i;
2600: PetscFunctionBegin;
2601: PetscCall(PCBDDCGraphGetDirichletDofs(pcbddc->mat_graph, &dirIS));
2602: if (zerodiag) {
2603: Mat A;
2604: Vec vec3_N;
2605: PetscScalar *vals;
2606: const PetscInt *idxs;
2607: PetscInt nz, *count;
2609: /* p0 */
2610: PetscCall(VecSet(pcis->vec1_N, 0.));
2611: PetscCall(PetscMalloc1(pcis->n, &vals));
2612: PetscCall(ISGetLocalSize(zerodiag, &nz));
2613: PetscCall(ISGetIndices(zerodiag, &idxs));
2614: for (i = 0; i < nz; i++) vals[i] = 1.;
2615: PetscCall(VecSetValues(pcis->vec1_N, nz, idxs, vals, INSERT_VALUES));
2616: PetscCall(VecAssemblyBegin(pcis->vec1_N));
2617: PetscCall(VecAssemblyEnd(pcis->vec1_N));
2618: /* v_I */
2619: PetscCall(VecSetRandom(pcis->vec2_N, NULL));
2620: for (i = 0; i < nz; i++) vals[i] = 0.;
2621: PetscCall(VecSetValues(pcis->vec2_N, nz, idxs, vals, INSERT_VALUES));
2622: PetscCall(ISRestoreIndices(zerodiag, &idxs));
2623: PetscCall(ISGetIndices(pcis->is_B_local, &idxs));
2624: for (i = 0; i < pcis->n_B; i++) vals[i] = 0.;
2625: PetscCall(VecSetValues(pcis->vec2_N, pcis->n_B, idxs, vals, INSERT_VALUES));
2626: PetscCall(ISRestoreIndices(pcis->is_B_local, &idxs));
2627: if (dirIS) {
2628: PetscInt n;
2630: PetscCall(ISGetLocalSize(dirIS, &n));
2631: PetscCall(ISGetIndices(dirIS, &idxs));
2632: for (i = 0; i < n; i++) vals[i] = 0.;
2633: PetscCall(VecSetValues(pcis->vec2_N, n, idxs, vals, INSERT_VALUES));
2634: PetscCall(ISRestoreIndices(dirIS, &idxs));
2635: }
2636: PetscCall(VecAssemblyBegin(pcis->vec2_N));
2637: PetscCall(VecAssemblyEnd(pcis->vec2_N));
2638: PetscCall(VecDuplicate(pcis->vec1_N, &vec3_N));
2639: PetscCall(VecSet(vec3_N, 0.));
2640: PetscCall(MatISGetLocalMat(pc->pmat, &A));
2641: PetscCall(MatMult(A, pcis->vec1_N, vec3_N));
2642: PetscCall(VecDot(vec3_N, pcis->vec2_N, &vals[0]));
2643: PetscCheck(PetscAbsScalar(vals[0]) <= 1.e-1, PETSC_COMM_SELF, PETSC_ERR_SUP, "Benign trick can not be applied! b(v_I,p_0) = %1.6e (should be numerically 0.)", (double)PetscAbsScalar(vals[0]));
2644: PetscCall(PetscFree(vals));
2645: PetscCall(VecDestroy(&vec3_N));
2647: /* there should not be any pressure dofs lying on the interface */
2648: PetscCall(PetscCalloc1(pcis->n, &count));
2649: PetscCall(ISGetIndices(pcis->is_B_local, &idxs));
2650: for (i = 0; i < pcis->n_B; i++) count[idxs[i]]++;
2651: PetscCall(ISRestoreIndices(pcis->is_B_local, &idxs));
2652: PetscCall(ISGetIndices(zerodiag, &idxs));
2653: for (i = 0; i < nz; i++) PetscCheck(!count[idxs[i]], PETSC_COMM_SELF, PETSC_ERR_SUP, "Benign trick can not be applied! pressure dof %" PetscInt_FMT " is an interface dof", idxs[i]);
2654: PetscCall(ISRestoreIndices(zerodiag, &idxs));
2655: PetscCall(PetscFree(count));
2656: }
2657: PetscCall(ISDestroy(&dirIS));
2659: /* check PCBDDCBenignGetOrSetP0 */
2660: PetscCall(VecSetRandom(pcis->vec1_global, NULL));
2661: for (i = 0; i < pcbddc->benign_n; i++) pcbddc->benign_p0[i] = -PetscGlobalRank - i;
2662: PetscCall(PCBDDCBenignGetOrSetP0(pc, pcis->vec1_global, PETSC_FALSE));
2663: for (i = 0; i < pcbddc->benign_n; i++) pcbddc->benign_p0[i] = 1;
2664: PetscCall(PCBDDCBenignGetOrSetP0(pc, pcis->vec1_global, PETSC_TRUE));
2665: for (i = 0; i < pcbddc->benign_n; i++) {
2666: PetscInt val = PetscRealPart(pcbddc->benign_p0[i]);
2667: PetscCheck(val == -PetscGlobalRank - i, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error testing PCBDDCBenignGetOrSetP0! Found %g at %" PetscInt_FMT " instead of %g", (double)PetscRealPart(pcbddc->benign_p0[i]), i, (double)(-PetscGlobalRank - i));
2668: }
2669: PetscFunctionReturn(PETSC_SUCCESS);
2670: }
2672: PetscErrorCode PCBDDCBenignDetectSaddlePoint(PC pc, PetscBool reuse, IS *zerodiaglocal)
2673: {
2674: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
2675: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
2676: IS pressures = NULL, zerodiag = NULL, *bzerodiag = NULL, zerodiag_save, *zerodiag_subs;
2677: PetscInt nz, n, benign_n, bsp = 1;
2678: PetscInt *interior_dofs, n_interior_dofs, nneu;
2679: PetscBool sorted, have_null, has_null_pressures, recompute_zerodiag, checkb;
2681: PetscFunctionBegin;
2682: if (reuse) goto project_b0;
2683: PetscCall(PetscSFDestroy(&pcbddc->benign_sf));
2684: PetscCall(MatDestroy(&pcbddc->benign_B0));
2685: for (n = 0; n < pcbddc->benign_n; n++) PetscCall(ISDestroy(&pcbddc->benign_zerodiag_subs[n]));
2686: PetscCall(PetscFree(pcbddc->benign_zerodiag_subs));
2687: has_null_pressures = PETSC_TRUE;
2688: have_null = PETSC_TRUE;
2689: /* if a local information on dofs is present, gets pressure dofs from command line (uses the last field is not provided)
2690: Without local information, it uses only the zerodiagonal dofs (ok if the pressure block is all zero and it is a scalar field)
2691: Checks if all the pressure dofs in each subdomain have a zero diagonal
2692: If not, a change of basis on pressures is not needed
2693: since the local Schur complements are already SPD
2694: */
2695: if (pcbddc->n_ISForDofsLocal) {
2696: IS iP = NULL;
2697: PetscInt p, *pp;
2698: PetscBool flg;
2700: PetscCall(PetscMalloc1(pcbddc->n_ISForDofsLocal, &pp));
2701: n = pcbddc->n_ISForDofsLocal;
2702: PetscOptionsBegin(PetscObjectComm((PetscObject)pc), ((PetscObject)pc)->prefix, "BDDC benign options", "PC");
2703: PetscCall(PetscOptionsIntArray("-pc_bddc_pressure_field", "Field id for pressures", NULL, pp, &n, &flg));
2704: PetscOptionsEnd();
2705: if (!flg) {
2706: n = 1;
2707: pp[0] = pcbddc->n_ISForDofsLocal - 1;
2708: }
2710: bsp = 0;
2711: for (p = 0; p < n; p++) {
2712: PetscInt bs;
2714: PetscCheck(pp[p] >= 0 && pp[p] < pcbddc->n_ISForDofsLocal, PetscObjectComm((PetscObject)pc), PETSC_ERR_USER, "Invalid field id for pressures %" PetscInt_FMT, pp[p]);
2715: PetscCall(ISGetBlockSize(pcbddc->ISForDofsLocal[pp[p]], &bs));
2716: bsp += bs;
2717: }
2718: PetscCall(PetscMalloc1(bsp, &bzerodiag));
2719: bsp = 0;
2720: for (p = 0; p < n; p++) {
2721: const PetscInt *idxs;
2722: PetscInt b, bs, npl, *bidxs;
2724: PetscCall(ISGetBlockSize(pcbddc->ISForDofsLocal[pp[p]], &bs));
2725: PetscCall(ISGetLocalSize(pcbddc->ISForDofsLocal[pp[p]], &npl));
2726: PetscCall(ISGetIndices(pcbddc->ISForDofsLocal[pp[p]], &idxs));
2727: PetscCall(PetscMalloc1(npl / bs, &bidxs));
2728: for (b = 0; b < bs; b++) {
2729: PetscInt i;
2731: for (i = 0; i < npl / bs; i++) bidxs[i] = idxs[bs * i + b];
2732: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, npl / bs, bidxs, PETSC_COPY_VALUES, &bzerodiag[bsp]));
2733: bsp++;
2734: }
2735: PetscCall(PetscFree(bidxs));
2736: PetscCall(ISRestoreIndices(pcbddc->ISForDofsLocal[pp[p]], &idxs));
2737: }
2738: PetscCall(ISConcatenate(PETSC_COMM_SELF, bsp, bzerodiag, &pressures));
2740: /* remove zeroed out pressures if we are setting up a BDDC solver for a saddle-point FETI-DP */
2741: PetscCall(PetscObjectQuery((PetscObject)pc, "__KSPFETIDP_lP", (PetscObject *)&iP));
2742: if (iP) {
2743: IS newpressures;
2745: PetscCall(ISDifference(pressures, iP, &newpressures));
2746: PetscCall(ISDestroy(&pressures));
2747: pressures = newpressures;
2748: }
2749: PetscCall(ISSorted(pressures, &sorted));
2750: if (!sorted) PetscCall(ISSort(pressures));
2751: PetscCall(PetscFree(pp));
2752: }
2754: /* pcis has not been setup yet, so get the local size from the subdomain matrix */
2755: PetscCall(MatGetLocalSize(pcbddc->local_mat, &n, NULL));
2756: if (!n) pcbddc->benign_change_explicit = PETSC_TRUE;
2757: PetscCall(MatFindZeroDiagonals(pcbddc->local_mat, &zerodiag));
2758: PetscCall(ISSorted(zerodiag, &sorted));
2759: if (!sorted) PetscCall(ISSort(zerodiag));
2760: PetscCall(PetscObjectReference((PetscObject)zerodiag));
2761: zerodiag_save = zerodiag;
2762: PetscCall(ISGetLocalSize(zerodiag, &nz));
2763: if (!nz) {
2764: if (n) have_null = PETSC_FALSE;
2765: has_null_pressures = PETSC_FALSE;
2766: PetscCall(ISDestroy(&zerodiag));
2767: }
2768: recompute_zerodiag = PETSC_FALSE;
2770: /* in case disconnected subdomains info is present, split the pressures accordingly (otherwise the benign trick could fail) */
2771: zerodiag_subs = NULL;
2772: benign_n = 0;
2773: n_interior_dofs = 0;
2774: interior_dofs = NULL;
2775: nneu = 0;
2776: if (pcbddc->NeumannBoundariesLocal) PetscCall(ISGetLocalSize(pcbddc->NeumannBoundariesLocal, &nneu));
2777: checkb = (PetscBool)(!pcbddc->NeumannBoundariesLocal || pcbddc->current_level);
2778: if (checkb) { /* need to compute interior nodes */
2779: PetscInt n, i;
2780: PetscInt *count;
2781: ISLocalToGlobalMapping mapping;
2783: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &mapping, NULL));
2784: PetscCall(ISLocalToGlobalMappingGetNodeInfo(mapping, &n, &count, NULL));
2785: PetscCall(PetscMalloc1(n, &interior_dofs));
2786: for (i = 0; i < n; i++)
2787: if (count[i] < 2) interior_dofs[n_interior_dofs++] = i;
2788: PetscCall(ISLocalToGlobalMappingRestoreNodeInfo(mapping, &n, &count, NULL));
2789: }
2790: if (has_null_pressures) {
2791: IS *subs;
2792: PetscInt nsubs, i, j, nl;
2793: const PetscInt *idxs;
2794: PetscScalar *array;
2795: Vec *work;
2797: subs = pcbddc->local_subs;
2798: nsubs = pcbddc->n_local_subs;
2799: /* 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) */
2800: if (checkb) {
2801: PetscCall(VecDuplicateVecs(matis->y, 2, &work));
2802: PetscCall(ISGetLocalSize(zerodiag, &nl));
2803: PetscCall(ISGetIndices(zerodiag, &idxs));
2804: /* work[0] = 1_p */
2805: PetscCall(VecSet(work[0], 0.));
2806: PetscCall(VecGetArray(work[0], &array));
2807: for (j = 0; j < nl; j++) array[idxs[j]] = 1.;
2808: PetscCall(VecRestoreArray(work[0], &array));
2809: /* work[0] = 1_v */
2810: PetscCall(VecSet(work[1], 1.));
2811: PetscCall(VecGetArray(work[1], &array));
2812: for (j = 0; j < nl; j++) array[idxs[j]] = 0.;
2813: PetscCall(VecRestoreArray(work[1], &array));
2814: PetscCall(ISRestoreIndices(zerodiag, &idxs));
2815: }
2817: if (nsubs > 1 || bsp > 1) {
2818: IS *is;
2819: PetscInt b, totb;
2821: totb = bsp;
2822: is = bsp > 1 ? bzerodiag : &zerodiag;
2823: nsubs = PetscMax(nsubs, 1);
2824: PetscCall(PetscCalloc1(nsubs * totb, &zerodiag_subs));
2825: for (b = 0; b < totb; b++) {
2826: for (i = 0; i < nsubs; i++) {
2827: ISLocalToGlobalMapping l2g;
2828: IS t_zerodiag_subs;
2829: PetscInt nl;
2831: if (subs) {
2832: PetscCall(ISLocalToGlobalMappingCreateIS(subs[i], &l2g));
2833: } else {
2834: IS tis;
2836: PetscCall(MatGetLocalSize(pcbddc->local_mat, &nl, NULL));
2837: PetscCall(ISCreateStride(PETSC_COMM_SELF, nl, 0, 1, &tis));
2838: PetscCall(ISLocalToGlobalMappingCreateIS(tis, &l2g));
2839: PetscCall(ISDestroy(&tis));
2840: }
2841: PetscCall(ISGlobalToLocalMappingApplyIS(l2g, IS_GTOLM_DROP, is[b], &t_zerodiag_subs));
2842: PetscCall(ISGetLocalSize(t_zerodiag_subs, &nl));
2843: if (nl) {
2844: PetscBool valid = PETSC_TRUE;
2846: if (checkb) {
2847: PetscCall(VecSet(matis->x, 0));
2848: PetscCall(ISGetLocalSize(subs[i], &nl));
2849: PetscCall(ISGetIndices(subs[i], &idxs));
2850: PetscCall(VecGetArray(matis->x, &array));
2851: for (j = 0; j < nl; j++) array[idxs[j]] = 1.;
2852: PetscCall(VecRestoreArray(matis->x, &array));
2853: PetscCall(ISRestoreIndices(subs[i], &idxs));
2854: PetscCall(VecPointwiseMult(matis->x, work[0], matis->x));
2855: PetscCall(MatMult(matis->A, matis->x, matis->y));
2856: PetscCall(VecPointwiseMult(matis->y, work[1], matis->y));
2857: PetscCall(VecGetArray(matis->y, &array));
2858: for (j = 0; j < n_interior_dofs; j++) {
2859: if (PetscAbsScalar(array[interior_dofs[j]]) > PETSC_SMALL) {
2860: valid = PETSC_FALSE;
2861: break;
2862: }
2863: }
2864: PetscCall(VecRestoreArray(matis->y, &array));
2865: }
2866: if (valid && nneu) {
2867: const PetscInt *idxs;
2868: PetscInt nzb;
2870: PetscCall(ISGetIndices(pcbddc->NeumannBoundariesLocal, &idxs));
2871: PetscCall(ISGlobalToLocalMappingApply(l2g, IS_GTOLM_DROP, nneu, idxs, &nzb, NULL));
2872: PetscCall(ISRestoreIndices(pcbddc->NeumannBoundariesLocal, &idxs));
2873: if (nzb) valid = PETSC_FALSE;
2874: }
2875: if (valid && pressures) {
2876: IS t_pressure_subs, tmp;
2877: PetscInt i1, i2;
2879: PetscCall(ISGlobalToLocalMappingApplyIS(l2g, IS_GTOLM_DROP, pressures, &t_pressure_subs));
2880: PetscCall(ISEmbed(t_zerodiag_subs, t_pressure_subs, PETSC_TRUE, &tmp));
2881: PetscCall(ISGetLocalSize(tmp, &i1));
2882: PetscCall(ISGetLocalSize(t_zerodiag_subs, &i2));
2883: if (i2 != i1) valid = PETSC_FALSE;
2884: PetscCall(ISDestroy(&t_pressure_subs));
2885: PetscCall(ISDestroy(&tmp));
2886: }
2887: if (valid) {
2888: PetscCall(ISLocalToGlobalMappingApplyIS(l2g, t_zerodiag_subs, &zerodiag_subs[benign_n]));
2889: benign_n++;
2890: } else recompute_zerodiag = PETSC_TRUE;
2891: }
2892: PetscCall(ISDestroy(&t_zerodiag_subs));
2893: PetscCall(ISLocalToGlobalMappingDestroy(&l2g));
2894: }
2895: }
2896: } else { /* there's just one subdomain (or zero if they have not been detected */
2897: PetscBool valid = PETSC_TRUE;
2899: if (nneu) valid = PETSC_FALSE;
2900: if (valid && pressures) PetscCall(ISEqual(pressures, zerodiag, &valid));
2901: if (valid && checkb) {
2902: PetscCall(MatMult(matis->A, work[0], matis->x));
2903: PetscCall(VecPointwiseMult(matis->x, work[1], matis->x));
2904: PetscCall(VecGetArray(matis->x, &array));
2905: for (j = 0; j < n_interior_dofs; j++) {
2906: if (PetscAbsScalar(array[interior_dofs[j]]) > PETSC_SMALL) {
2907: valid = PETSC_FALSE;
2908: break;
2909: }
2910: }
2911: PetscCall(VecRestoreArray(matis->x, &array));
2912: }
2913: if (valid) {
2914: benign_n = 1;
2915: PetscCall(PetscMalloc1(benign_n, &zerodiag_subs));
2916: PetscCall(PetscObjectReference((PetscObject)zerodiag));
2917: zerodiag_subs[0] = zerodiag;
2918: }
2919: }
2920: if (checkb) PetscCall(VecDestroyVecs(2, &work));
2921: }
2922: PetscCall(PetscFree(interior_dofs));
2924: if (!benign_n) {
2925: PetscInt n;
2927: PetscCall(ISDestroy(&zerodiag));
2928: recompute_zerodiag = PETSC_FALSE;
2929: PetscCall(MatGetLocalSize(pcbddc->local_mat, &n, NULL));
2930: if (n) have_null = PETSC_FALSE;
2931: }
2933: /* final check for null pressures */
2934: if (zerodiag && pressures) PetscCall(ISEqual(pressures, zerodiag, &have_null));
2936: if (recompute_zerodiag) {
2937: PetscCall(ISDestroy(&zerodiag));
2938: if (benign_n == 1) {
2939: PetscCall(PetscObjectReference((PetscObject)zerodiag_subs[0]));
2940: zerodiag = zerodiag_subs[0];
2941: } else {
2942: PetscInt i, nzn, *new_idxs;
2944: nzn = 0;
2945: for (i = 0; i < benign_n; i++) {
2946: PetscInt ns;
2947: PetscCall(ISGetLocalSize(zerodiag_subs[i], &ns));
2948: nzn += ns;
2949: }
2950: PetscCall(PetscMalloc1(nzn, &new_idxs));
2951: nzn = 0;
2952: for (i = 0; i < benign_n; i++) {
2953: PetscInt ns, *idxs;
2954: PetscCall(ISGetLocalSize(zerodiag_subs[i], &ns));
2955: PetscCall(ISGetIndices(zerodiag_subs[i], (const PetscInt **)&idxs));
2956: PetscCall(PetscArraycpy(new_idxs + nzn, idxs, ns));
2957: PetscCall(ISRestoreIndices(zerodiag_subs[i], (const PetscInt **)&idxs));
2958: nzn += ns;
2959: }
2960: PetscCall(PetscSortInt(nzn, new_idxs));
2961: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, nzn, new_idxs, PETSC_OWN_POINTER, &zerodiag));
2962: }
2963: have_null = PETSC_FALSE;
2964: }
2966: /* determines if the coarse solver will be singular or not */
2967: PetscCall(MPIU_Allreduce(&have_null, &pcbddc->benign_null, 1, MPIU_BOOL, MPI_LAND, PetscObjectComm((PetscObject)pc)));
2969: /* Prepare matrix to compute no-net-flux */
2970: if (pcbddc->compute_nonetflux && !pcbddc->divudotp) {
2971: Mat A, loc_divudotp;
2972: ISLocalToGlobalMapping rl2g, cl2g, l2gmap;
2973: IS row, col, isused = NULL;
2974: PetscInt M, N, n, st, n_isused;
2976: if (pressures) {
2977: isused = pressures;
2978: } else {
2979: isused = zerodiag_save;
2980: }
2981: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &l2gmap, NULL));
2982: PetscCall(MatISGetLocalMat(pc->pmat, &A));
2983: PetscCall(MatGetLocalSize(A, &n, NULL));
2984: 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");
2985: n_isused = 0;
2986: if (isused) PetscCall(ISGetLocalSize(isused, &n_isused));
2987: PetscCallMPI(MPI_Scan(&n_isused, &st, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)pc)));
2988: st = st - n_isused;
2989: if (n) {
2990: const PetscInt *gidxs;
2992: PetscCall(MatCreateSubMatrix(A, isused, NULL, MAT_INITIAL_MATRIX, &loc_divudotp));
2993: PetscCall(ISLocalToGlobalMappingGetIndices(l2gmap, &gidxs));
2994: /* TODO: extend ISCreateStride with st = PETSC_DECIDE */
2995: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), n_isused, st, 1, &row));
2996: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), n, gidxs, PETSC_COPY_VALUES, &col));
2997: PetscCall(ISLocalToGlobalMappingRestoreIndices(l2gmap, &gidxs));
2998: } else {
2999: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, 0, 0, 1, NULL, &loc_divudotp));
3000: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), n_isused, st, 1, &row));
3001: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), 0, NULL, PETSC_COPY_VALUES, &col));
3002: }
3003: PetscCall(MatGetSize(pc->pmat, NULL, &N));
3004: PetscCall(ISGetSize(row, &M));
3005: PetscCall(ISLocalToGlobalMappingCreateIS(row, &rl2g));
3006: PetscCall(ISLocalToGlobalMappingCreateIS(col, &cl2g));
3007: PetscCall(ISDestroy(&row));
3008: PetscCall(ISDestroy(&col));
3009: PetscCall(MatCreate(PetscObjectComm((PetscObject)pc), &pcbddc->divudotp));
3010: PetscCall(MatSetType(pcbddc->divudotp, MATIS));
3011: PetscCall(MatSetSizes(pcbddc->divudotp, PETSC_DECIDE, PETSC_DECIDE, M, N));
3012: PetscCall(MatSetLocalToGlobalMapping(pcbddc->divudotp, rl2g, cl2g));
3013: PetscCall(ISLocalToGlobalMappingDestroy(&rl2g));
3014: PetscCall(ISLocalToGlobalMappingDestroy(&cl2g));
3015: PetscCall(MatISSetLocalMat(pcbddc->divudotp, loc_divudotp));
3016: PetscCall(MatDestroy(&loc_divudotp));
3017: PetscCall(MatAssemblyBegin(pcbddc->divudotp, MAT_FINAL_ASSEMBLY));
3018: PetscCall(MatAssemblyEnd(pcbddc->divudotp, MAT_FINAL_ASSEMBLY));
3019: }
3020: PetscCall(ISDestroy(&zerodiag_save));
3021: PetscCall(ISDestroy(&pressures));
3022: if (bzerodiag) {
3023: PetscInt i;
3025: for (i = 0; i < bsp; i++) PetscCall(ISDestroy(&bzerodiag[i]));
3026: PetscCall(PetscFree(bzerodiag));
3027: }
3028: pcbddc->benign_n = benign_n;
3029: pcbddc->benign_zerodiag_subs = zerodiag_subs;
3031: /* determines if the problem has subdomains with 0 pressure block */
3032: have_null = (PetscBool)(!!pcbddc->benign_n);
3033: PetscCall(MPIU_Allreduce(&have_null, &pcbddc->benign_have_null, 1, MPIU_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
3035: project_b0:
3036: PetscCall(MatGetLocalSize(pcbddc->local_mat, &n, NULL));
3037: /* change of basis and p0 dofs */
3038: if (pcbddc->benign_n) {
3039: PetscInt i, s, *nnz;
3041: /* local change of basis for pressures */
3042: PetscCall(MatDestroy(&pcbddc->benign_change));
3043: PetscCall(MatCreate(PetscObjectComm((PetscObject)pcbddc->local_mat), &pcbddc->benign_change));
3044: PetscCall(MatSetType(pcbddc->benign_change, MATAIJ));
3045: PetscCall(MatSetSizes(pcbddc->benign_change, n, n, PETSC_DECIDE, PETSC_DECIDE));
3046: PetscCall(PetscMalloc1(n, &nnz));
3047: for (i = 0; i < n; i++) nnz[i] = 1; /* defaults to identity */
3048: for (i = 0; i < pcbddc->benign_n; i++) {
3049: const PetscInt *idxs;
3050: PetscInt nzs, j;
3052: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[i], &nzs));
3053: PetscCall(ISGetIndices(pcbddc->benign_zerodiag_subs[i], &idxs));
3054: for (j = 0; j < nzs - 1; j++) nnz[idxs[j]] = 2; /* change on pressures */
3055: nnz[idxs[nzs - 1]] = nzs; /* last local pressure dof in subdomain */
3056: PetscCall(ISRestoreIndices(pcbddc->benign_zerodiag_subs[i], &idxs));
3057: }
3058: PetscCall(MatSeqAIJSetPreallocation(pcbddc->benign_change, 0, nnz));
3059: PetscCall(MatSetOption(pcbddc->benign_change, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
3060: PetscCall(PetscFree(nnz));
3061: /* set identity by default */
3062: for (i = 0; i < n; i++) PetscCall(MatSetValue(pcbddc->benign_change, i, i, 1., INSERT_VALUES));
3063: PetscCall(PetscFree3(pcbddc->benign_p0_lidx, pcbddc->benign_p0_gidx, pcbddc->benign_p0));
3064: PetscCall(PetscMalloc3(pcbddc->benign_n, &pcbddc->benign_p0_lidx, pcbddc->benign_n, &pcbddc->benign_p0_gidx, pcbddc->benign_n, &pcbddc->benign_p0));
3065: /* set change on pressures */
3066: for (s = 0; s < pcbddc->benign_n; s++) {
3067: PetscScalar *array;
3068: const PetscInt *idxs;
3069: PetscInt nzs;
3071: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[s], &nzs));
3072: PetscCall(ISGetIndices(pcbddc->benign_zerodiag_subs[s], &idxs));
3073: for (i = 0; i < nzs - 1; i++) {
3074: PetscScalar vals[2];
3075: PetscInt cols[2];
3077: cols[0] = idxs[i];
3078: cols[1] = idxs[nzs - 1];
3079: vals[0] = 1.;
3080: vals[1] = 1.;
3081: PetscCall(MatSetValues(pcbddc->benign_change, 1, cols, 2, cols, vals, INSERT_VALUES));
3082: }
3083: PetscCall(PetscMalloc1(nzs, &array));
3084: for (i = 0; i < nzs - 1; i++) array[i] = -1.;
3085: array[nzs - 1] = 1.;
3086: PetscCall(MatSetValues(pcbddc->benign_change, 1, idxs + nzs - 1, nzs, idxs, array, INSERT_VALUES));
3087: /* store local idxs for p0 */
3088: pcbddc->benign_p0_lidx[s] = idxs[nzs - 1];
3089: PetscCall(ISRestoreIndices(pcbddc->benign_zerodiag_subs[s], &idxs));
3090: PetscCall(PetscFree(array));
3091: }
3092: PetscCall(MatAssemblyBegin(pcbddc->benign_change, MAT_FINAL_ASSEMBLY));
3093: PetscCall(MatAssemblyEnd(pcbddc->benign_change, MAT_FINAL_ASSEMBLY));
3095: /* project if needed */
3096: if (pcbddc->benign_change_explicit) {
3097: Mat M;
3099: PetscCall(MatPtAP(pcbddc->local_mat, pcbddc->benign_change, MAT_INITIAL_MATRIX, 2.0, &M));
3100: PetscCall(MatDestroy(&pcbddc->local_mat));
3101: PetscCall(MatSeqAIJCompress(M, &pcbddc->local_mat));
3102: PetscCall(MatDestroy(&M));
3103: }
3104: /* store global idxs for p0 */
3105: PetscCall(ISLocalToGlobalMappingApply(matis->rmapping, pcbddc->benign_n, pcbddc->benign_p0_lidx, pcbddc->benign_p0_gidx));
3106: }
3107: *zerodiaglocal = zerodiag;
3108: PetscFunctionReturn(PETSC_SUCCESS);
3109: }
3111: PetscErrorCode PCBDDCBenignGetOrSetP0(PC pc, Vec v, PetscBool get)
3112: {
3113: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3114: PetscScalar *array;
3116: PetscFunctionBegin;
3117: if (!pcbddc->benign_sf) {
3118: PetscCall(PetscSFCreate(PetscObjectComm((PetscObject)pc), &pcbddc->benign_sf));
3119: PetscCall(PetscSFSetGraphLayout(pcbddc->benign_sf, pc->pmat->rmap, pcbddc->benign_n, NULL, PETSC_OWN_POINTER, pcbddc->benign_p0_gidx));
3120: }
3121: if (get) {
3122: PetscCall(VecGetArrayRead(v, (const PetscScalar **)&array));
3123: PetscCall(PetscSFBcastBegin(pcbddc->benign_sf, MPIU_SCALAR, array, pcbddc->benign_p0, MPI_REPLACE));
3124: PetscCall(PetscSFBcastEnd(pcbddc->benign_sf, MPIU_SCALAR, array, pcbddc->benign_p0, MPI_REPLACE));
3125: PetscCall(VecRestoreArrayRead(v, (const PetscScalar **)&array));
3126: } else {
3127: PetscCall(VecGetArray(v, &array));
3128: PetscCall(PetscSFReduceBegin(pcbddc->benign_sf, MPIU_SCALAR, pcbddc->benign_p0, array, MPI_REPLACE));
3129: PetscCall(PetscSFReduceEnd(pcbddc->benign_sf, MPIU_SCALAR, pcbddc->benign_p0, array, MPI_REPLACE));
3130: PetscCall(VecRestoreArray(v, &array));
3131: }
3132: PetscFunctionReturn(PETSC_SUCCESS);
3133: }
3135: PetscErrorCode PCBDDCBenignPopOrPushB0(PC pc, PetscBool pop)
3136: {
3137: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3139: PetscFunctionBegin;
3140: /* TODO: add error checking
3141: - avoid nested pop (or push) calls.
3142: - cannot push before pop.
3143: - cannot call this if pcbddc->local_mat is NULL
3144: */
3145: if (!pcbddc->benign_n) PetscFunctionReturn(PETSC_SUCCESS);
3146: if (pop) {
3147: if (pcbddc->benign_change_explicit) {
3148: IS is_p0;
3149: MatReuse reuse;
3151: /* extract B_0 */
3152: reuse = MAT_INITIAL_MATRIX;
3153: if (pcbddc->benign_B0) reuse = MAT_REUSE_MATRIX;
3154: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, pcbddc->benign_n, pcbddc->benign_p0_lidx, PETSC_COPY_VALUES, &is_p0));
3155: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, is_p0, NULL, reuse, &pcbddc->benign_B0));
3156: /* remove rows and cols from local problem */
3157: PetscCall(MatSetOption(pcbddc->local_mat, MAT_KEEP_NONZERO_PATTERN, PETSC_TRUE));
3158: PetscCall(MatSetOption(pcbddc->local_mat, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_FALSE));
3159: PetscCall(MatZeroRowsColumnsIS(pcbddc->local_mat, is_p0, 1.0, NULL, NULL));
3160: PetscCall(ISDestroy(&is_p0));
3161: } else {
3162: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
3163: PetscScalar *vals;
3164: PetscInt i, n, *idxs_ins;
3166: PetscCall(VecGetLocalSize(matis->y, &n));
3167: PetscCall(PetscMalloc2(n, &idxs_ins, n, &vals));
3168: if (!pcbddc->benign_B0) {
3169: PetscInt *nnz;
3170: PetscCall(MatCreate(PetscObjectComm((PetscObject)pcbddc->local_mat), &pcbddc->benign_B0));
3171: PetscCall(MatSetType(pcbddc->benign_B0, MATAIJ));
3172: PetscCall(MatSetSizes(pcbddc->benign_B0, pcbddc->benign_n, n, PETSC_DECIDE, PETSC_DECIDE));
3173: PetscCall(PetscMalloc1(pcbddc->benign_n, &nnz));
3174: for (i = 0; i < pcbddc->benign_n; i++) {
3175: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[i], &nnz[i]));
3176: nnz[i] = n - nnz[i];
3177: }
3178: PetscCall(MatSeqAIJSetPreallocation(pcbddc->benign_B0, 0, nnz));
3179: PetscCall(MatSetOption(pcbddc->benign_B0, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
3180: PetscCall(PetscFree(nnz));
3181: }
3183: for (i = 0; i < pcbddc->benign_n; i++) {
3184: PetscScalar *array;
3185: PetscInt *idxs, j, nz, cum;
3187: PetscCall(VecSet(matis->x, 0.));
3188: PetscCall(ISGetLocalSize(pcbddc->benign_zerodiag_subs[i], &nz));
3189: PetscCall(ISGetIndices(pcbddc->benign_zerodiag_subs[i], (const PetscInt **)&idxs));
3190: for (j = 0; j < nz; j++) vals[j] = 1.;
3191: PetscCall(VecSetValues(matis->x, nz, idxs, vals, INSERT_VALUES));
3192: PetscCall(VecAssemblyBegin(matis->x));
3193: PetscCall(VecAssemblyEnd(matis->x));
3194: PetscCall(VecSet(matis->y, 0.));
3195: PetscCall(MatMult(matis->A, matis->x, matis->y));
3196: PetscCall(VecGetArray(matis->y, &array));
3197: cum = 0;
3198: for (j = 0; j < n; j++) {
3199: if (PetscUnlikely(PetscAbsScalar(array[j]) > PETSC_SMALL)) {
3200: vals[cum] = array[j];
3201: idxs_ins[cum] = j;
3202: cum++;
3203: }
3204: }
3205: PetscCall(MatSetValues(pcbddc->benign_B0, 1, &i, cum, idxs_ins, vals, INSERT_VALUES));
3206: PetscCall(VecRestoreArray(matis->y, &array));
3207: PetscCall(ISRestoreIndices(pcbddc->benign_zerodiag_subs[i], (const PetscInt **)&idxs));
3208: }
3209: PetscCall(MatAssemblyBegin(pcbddc->benign_B0, MAT_FINAL_ASSEMBLY));
3210: PetscCall(MatAssemblyEnd(pcbddc->benign_B0, MAT_FINAL_ASSEMBLY));
3211: PetscCall(PetscFree2(idxs_ins, vals));
3212: }
3213: } else { /* push */
3215: PetscCheck(pcbddc->benign_change_explicit, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Cannot push B0!");
3216: for (PetscInt i = 0; i < pcbddc->benign_n; i++) {
3217: PetscScalar *B0_vals;
3218: PetscInt *B0_cols, B0_ncol;
3220: PetscCall(MatGetRow(pcbddc->benign_B0, i, &B0_ncol, (const PetscInt **)&B0_cols, (const PetscScalar **)&B0_vals));
3221: PetscCall(MatSetValues(pcbddc->local_mat, 1, pcbddc->benign_p0_lidx + i, B0_ncol, B0_cols, B0_vals, INSERT_VALUES));
3222: PetscCall(MatSetValues(pcbddc->local_mat, B0_ncol, B0_cols, 1, pcbddc->benign_p0_lidx + i, B0_vals, INSERT_VALUES));
3223: PetscCall(MatSetValue(pcbddc->local_mat, pcbddc->benign_p0_lidx[i], pcbddc->benign_p0_lidx[i], 0.0, INSERT_VALUES));
3224: PetscCall(MatRestoreRow(pcbddc->benign_B0, i, &B0_ncol, (const PetscInt **)&B0_cols, (const PetscScalar **)&B0_vals));
3225: }
3226: PetscCall(MatAssemblyBegin(pcbddc->local_mat, MAT_FINAL_ASSEMBLY));
3227: PetscCall(MatAssemblyEnd(pcbddc->local_mat, MAT_FINAL_ASSEMBLY));
3228: }
3229: PetscFunctionReturn(PETSC_SUCCESS);
3230: }
3232: PetscErrorCode PCBDDCAdaptiveSelection(PC pc)
3233: {
3234: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3235: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
3236: PetscBLASInt B_dummyint, B_neigs, B_ierr, B_lwork;
3237: PetscBLASInt *B_iwork, *B_ifail;
3238: PetscScalar *work, lwork;
3239: PetscScalar *St, *S, *eigv;
3240: PetscScalar *Sarray, *Starray;
3241: PetscReal *eigs, thresh, lthresh, uthresh;
3242: PetscInt i, nmax, nmin, nv, cum, mss, cum2, cumarray, maxneigs;
3243: PetscBool allocated_S_St, upart;
3244: #if defined(PETSC_USE_COMPLEX)
3245: PetscReal *rwork;
3246: #endif
3248: PetscFunctionBegin;
3249: if (!pcbddc->adaptive_selection) PetscFunctionReturn(PETSC_SUCCESS);
3250: PetscCheck(sub_schurs, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Adaptive selection of constraints requires SubSchurs data");
3251: 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");
3252: 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,
3253: sub_schurs->is_posdef);
3254: PetscCall(PetscLogEventBegin(PC_BDDC_AdaptiveSetUp[pcbddc->current_level], pc, 0, 0, 0));
3256: if (pcbddc->dbg_flag) {
3257: if (!pcbddc->dbg_viewer) pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
3258: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
3259: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
3260: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Check adaptive selection of constraints\n"));
3261: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
3262: }
3264: 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));
3266: /* max size of subsets */
3267: mss = 0;
3268: for (i = 0; i < sub_schurs->n_subs; i++) {
3269: PetscInt subset_size;
3271: PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
3272: mss = PetscMax(mss, subset_size);
3273: }
3275: /* min/max and threshold */
3276: nmax = pcbddc->adaptive_nmax > 0 ? pcbddc->adaptive_nmax : mss;
3277: nmin = pcbddc->adaptive_nmin > 0 ? pcbddc->adaptive_nmin : 0;
3278: nmax = PetscMax(nmin, nmax);
3279: allocated_S_St = PETSC_FALSE;
3280: if (nmin || !sub_schurs->is_posdef) { /* XXX */
3281: allocated_S_St = PETSC_TRUE;
3282: }
3284: /* allocate lapack workspace */
3285: cum = cum2 = 0;
3286: maxneigs = 0;
3287: for (i = 0; i < sub_schurs->n_subs; i++) {
3288: PetscInt n, subset_size;
3290: PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
3291: n = PetscMin(subset_size, nmax);
3292: cum += subset_size;
3293: cum2 += subset_size * n;
3294: maxneigs = PetscMax(maxneigs, n);
3295: }
3296: lwork = 0;
3297: if (mss) {
3298: PetscScalar sdummy = 0.;
3299: PetscBLASInt B_itype = 1;
3300: PetscBLASInt B_N = mss, idummy = 0;
3301: PetscReal rdummy = 0., zero = 0.0;
3302: PetscReal eps = 0.0; /* dlamch? */
3304: PetscCheck(sub_schurs->is_symmetric, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
3305: B_lwork = -1;
3306: /* some implementations may complain about NULL pointers, even if we are querying */
3307: S = &sdummy;
3308: St = &sdummy;
3309: eigs = &rdummy;
3310: eigv = &sdummy;
3311: B_iwork = &idummy;
3312: B_ifail = &idummy;
3313: #if defined(PETSC_USE_COMPLEX)
3314: rwork = &rdummy;
3315: #endif
3316: thresh = 1.0;
3317: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
3318: #if defined(PETSC_USE_COMPLEX)
3319: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &zero, &thresh, &B_dummyint, &B_dummyint, &eps, &B_neigs, eigs, eigv, &B_N, &lwork, &B_lwork, rwork, B_iwork, B_ifail, &B_ierr));
3320: #else
3321: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &zero, &thresh, &B_dummyint, &B_dummyint, &eps, &B_neigs, eigs, eigv, &B_N, &lwork, &B_lwork, B_iwork, B_ifail, &B_ierr));
3322: #endif
3323: PetscCheck(B_ierr == 0, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to SYGVX Lapack routine %d", (int)B_ierr);
3324: PetscCall(PetscFPTrapPop());
3325: }
3327: nv = 0;
3328: 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) */
3329: PetscCall(ISGetLocalSize(sub_schurs->is_vertices, &nv));
3330: }
3331: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(lwork), &B_lwork));
3332: if (allocated_S_St) PetscCall(PetscMalloc2(mss * mss, &S, mss * mss, &St));
3333: PetscCall(PetscMalloc5(mss * mss, &eigv, mss, &eigs, B_lwork, &work, 5 * mss, &B_iwork, mss, &B_ifail));
3334: #if defined(PETSC_USE_COMPLEX)
3335: PetscCall(PetscMalloc1(7 * mss, &rwork));
3336: #endif
3337: 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,
3338: &pcbddc->adaptive_constraints_data));
3339: PetscCall(PetscArrayzero(pcbddc->adaptive_constraints_n, nv + sub_schurs->n_subs));
3341: maxneigs = 0;
3342: cum = cumarray = 0;
3343: pcbddc->adaptive_constraints_idxs_ptr[0] = 0;
3344: pcbddc->adaptive_constraints_data_ptr[0] = 0;
3345: if (sub_schurs->is_vertices && pcbddc->use_vertices) {
3346: const PetscInt *idxs;
3348: PetscCall(ISGetIndices(sub_schurs->is_vertices, &idxs));
3349: for (cum = 0; cum < nv; cum++) {
3350: pcbddc->adaptive_constraints_n[cum] = 1;
3351: pcbddc->adaptive_constraints_idxs[cum] = idxs[cum];
3352: pcbddc->adaptive_constraints_data[cum] = 1.0;
3353: pcbddc->adaptive_constraints_idxs_ptr[cum + 1] = pcbddc->adaptive_constraints_idxs_ptr[cum] + 1;
3354: pcbddc->adaptive_constraints_data_ptr[cum + 1] = pcbddc->adaptive_constraints_data_ptr[cum] + 1;
3355: }
3356: PetscCall(ISRestoreIndices(sub_schurs->is_vertices, &idxs));
3357: }
3359: if (mss) { /* multilevel */
3360: if (sub_schurs->gdsw) {
3361: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all, &Sarray));
3362: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3363: } else {
3364: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_inv_all, &Sarray));
3365: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3366: }
3367: }
3369: lthresh = pcbddc->adaptive_threshold[0];
3370: uthresh = pcbddc->adaptive_threshold[1];
3371: upart = pcbddc->use_deluxe_scaling;
3372: for (i = 0; i < sub_schurs->n_subs; i++) {
3373: const PetscInt *idxs;
3374: PetscReal upper, lower;
3375: PetscInt j, subset_size, eigs_start = 0;
3376: PetscBLASInt B_N;
3377: PetscBool same_data = PETSC_FALSE;
3378: PetscBool scal = PETSC_FALSE;
3380: if (upart) {
3381: upper = PETSC_MAX_REAL;
3382: lower = uthresh;
3383: } else {
3384: if (sub_schurs->gdsw) {
3385: upper = uthresh;
3386: lower = PETSC_MIN_REAL;
3387: } else {
3388: PetscCheck(sub_schurs->is_posdef, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented without deluxe scaling");
3389: upper = 1. / uthresh;
3390: lower = 0.;
3391: }
3392: }
3393: PetscCall(ISGetLocalSize(sub_schurs->is_subs[i], &subset_size));
3394: PetscCall(ISGetIndices(sub_schurs->is_subs[i], &idxs));
3395: PetscCall(PetscBLASIntCast(subset_size, &B_N));
3396: /* this is experimental: we assume the dofs have been properly grouped to have
3397: the diagonal blocks Schur complements either positive or negative definite (true for Stokes) */
3398: if (!sub_schurs->is_posdef) {
3399: Mat T;
3401: for (j = 0; j < subset_size; j++) {
3402: if (PetscRealPart(*(Sarray + cumarray + j * (subset_size + 1))) < 0.0) {
3403: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, subset_size, subset_size, Sarray + cumarray, &T));
3404: PetscCall(MatScale(T, -1.0));
3405: PetscCall(MatDestroy(&T));
3406: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, subset_size, subset_size, Starray + cumarray, &T));
3407: PetscCall(MatScale(T, -1.0));
3408: PetscCall(MatDestroy(&T));
3409: if (sub_schurs->change_primal_sub) {
3410: PetscInt nz, k;
3411: const PetscInt *idxs;
3413: PetscCall(ISGetLocalSize(sub_schurs->change_primal_sub[i], &nz));
3414: PetscCall(ISGetIndices(sub_schurs->change_primal_sub[i], &idxs));
3415: for (k = 0; k < nz; k++) {
3416: *(Sarray + cumarray + idxs[k] * (subset_size + 1)) *= -1.0;
3417: *(Starray + cumarray + idxs[k] * (subset_size + 1)) = 0.0;
3418: }
3419: PetscCall(ISRestoreIndices(sub_schurs->change_primal_sub[i], &idxs));
3420: }
3421: scal = PETSC_TRUE;
3422: break;
3423: }
3424: }
3425: }
3427: if (allocated_S_St) { /* S and S_t should be copied since we could need them later */
3428: if (sub_schurs->is_symmetric) {
3429: PetscInt j, k;
3430: if (sub_schurs->n_subs == 1) { /* zeroing memory to use PetscArraycmp() later */
3431: PetscCall(PetscArrayzero(S, subset_size * subset_size));
3432: PetscCall(PetscArrayzero(St, subset_size * subset_size));
3433: }
3434: for (j = 0; j < subset_size; j++) {
3435: for (k = j; k < subset_size; k++) {
3436: S[j * subset_size + k] = Sarray[cumarray + j * subset_size + k];
3437: St[j * subset_size + k] = Starray[cumarray + j * subset_size + k];
3438: }
3439: }
3440: } else {
3441: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3442: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3443: }
3444: } else {
3445: S = Sarray + cumarray;
3446: St = Starray + cumarray;
3447: }
3448: /* see if we can save some work */
3449: if (sub_schurs->n_subs == 1 && pcbddc->use_deluxe_scaling) PetscCall(PetscArraycmp(S, St, subset_size * subset_size, &same_data));
3451: if (same_data && !sub_schurs->change) { /* there's no need of constraints here */
3452: B_neigs = 0;
3453: } else {
3454: PetscBLASInt B_itype = 1;
3455: PetscBLASInt B_IL, B_IU;
3456: PetscReal eps = -1.0; /* dlamch? */
3457: PetscInt nmin_s;
3458: PetscBool compute_range;
3460: PetscCheck(sub_schurs->is_symmetric, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
3461: B_neigs = 0;
3462: compute_range = (PetscBool)!same_data;
3463: if (nmin >= subset_size) compute_range = PETSC_FALSE;
3465: if (pcbddc->dbg_flag) {
3466: PetscInt nc = 0, c = pcbddc->mat_graph->nodes[idxs[0]].count, w = pcbddc->mat_graph->nodes[idxs[0]].which_dof;
3468: if (sub_schurs->change_primal_sub) PetscCall(ISGetLocalSize(sub_schurs->change_primal_sub[i], &nc));
3469: PetscCall(
3470: 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));
3471: }
3473: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
3474: if (compute_range) {
3475: /* ask for eigenvalues larger than thresh */
3476: if (sub_schurs->is_posdef) {
3477: #if defined(PETSC_USE_COMPLEX)
3478: 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));
3479: #else
3480: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3481: #endif
3482: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3483: } else { /* no theory so far, but it works nicely */
3484: PetscInt recipe = 0, recipe_m = 1;
3485: PetscReal bb[2];
3487: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)pc)->prefix, "-pc_bddc_adaptive_recipe", &recipe, NULL));
3488: switch (recipe) {
3489: case 0:
3490: if (scal) {
3491: bb[0] = PETSC_MIN_REAL;
3492: bb[1] = lthresh;
3493: } else {
3494: bb[0] = uthresh;
3495: bb[1] = PETSC_MAX_REAL;
3496: }
3497: #if defined(PETSC_USE_COMPLEX)
3498: 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));
3499: #else
3500: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3501: #endif
3502: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3503: break;
3504: case 1:
3505: bb[0] = PETSC_MIN_REAL;
3506: bb[1] = lthresh * lthresh;
3507: #if defined(PETSC_USE_COMPLEX)
3508: 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));
3509: #else
3510: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3511: #endif
3512: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3513: if (!scal) {
3514: PetscBLASInt B_neigs2 = 0;
3516: bb[0] = PetscMax(lthresh * lthresh, uthresh);
3517: bb[1] = PETSC_MAX_REAL;
3518: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3519: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3520: #if defined(PETSC_USE_COMPLEX)
3521: 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));
3522: #else
3523: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3524: #endif
3525: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3526: B_neigs += B_neigs2;
3527: }
3528: break;
3529: case 2:
3530: if (scal) {
3531: bb[0] = PETSC_MIN_REAL;
3532: bb[1] = 0;
3533: #if defined(PETSC_USE_COMPLEX)
3534: 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));
3535: #else
3536: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3537: #endif
3538: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3539: } else {
3540: PetscBLASInt B_neigs2 = 0;
3541: PetscBool do_copy = PETSC_FALSE;
3543: lthresh = PetscMax(lthresh, 0.0);
3544: if (lthresh > 0.0) {
3545: bb[0] = PETSC_MIN_REAL;
3546: bb[1] = lthresh * lthresh;
3548: do_copy = PETSC_TRUE;
3549: #if defined(PETSC_USE_COMPLEX)
3550: 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));
3551: #else
3552: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3553: #endif
3554: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3555: }
3556: bb[0] = PetscMax(lthresh * lthresh, uthresh);
3557: bb[1] = PETSC_MAX_REAL;
3558: if (do_copy) {
3559: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3560: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3561: }
3562: #if defined(PETSC_USE_COMPLEX)
3563: 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));
3564: #else
3565: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3566: #endif
3567: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3568: B_neigs += B_neigs2;
3569: }
3570: break;
3571: case 3:
3572: if (scal) {
3573: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)pc)->prefix, "-pc_bddc_adaptive_recipe3_min_scal", &recipe_m, NULL));
3574: } else {
3575: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)pc)->prefix, "-pc_bddc_adaptive_recipe3_min", &recipe_m, NULL));
3576: }
3577: if (!scal) {
3578: bb[0] = uthresh;
3579: bb[1] = PETSC_MAX_REAL;
3580: #if defined(PETSC_USE_COMPLEX)
3581: 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));
3582: #else
3583: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3584: #endif
3585: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3586: }
3587: if (recipe_m > 0 && B_N - B_neigs > 0) {
3588: PetscBLASInt B_neigs2 = 0;
3590: B_IL = 1;
3591: PetscCall(PetscBLASIntCast(PetscMin(recipe_m, B_N - B_neigs), &B_IU));
3592: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3593: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3594: #if defined(PETSC_USE_COMPLEX)
3595: 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));
3596: #else
3597: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "I", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3598: #endif
3599: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3600: B_neigs += B_neigs2;
3601: }
3602: break;
3603: case 4:
3604: bb[0] = PETSC_MIN_REAL;
3605: bb[1] = lthresh;
3606: #if defined(PETSC_USE_COMPLEX)
3607: 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));
3608: #else
3609: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3610: #endif
3611: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3612: {
3613: PetscBLASInt B_neigs2 = 0;
3615: bb[0] = PetscMax(lthresh + PETSC_SMALL, uthresh);
3616: bb[1] = PETSC_MAX_REAL;
3617: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3618: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3619: #if defined(PETSC_USE_COMPLEX)
3620: 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));
3621: #else
3622: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "V", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * B_N, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3623: #endif
3624: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3625: B_neigs += B_neigs2;
3626: }
3627: break;
3628: case 5: /* same as before: first compute all eigenvalues, then filter */
3629: #if defined(PETSC_USE_COMPLEX)
3630: 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));
3631: #else
3632: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "A", "L", &B_N, St, &B_N, S, &B_N, &bb[0], &bb[1], &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3633: #endif
3634: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3635: {
3636: PetscInt e, k, ne;
3637: for (e = 0, ne = 0; e < B_neigs; e++) {
3638: if (eigs[e] < lthresh || eigs[e] > uthresh) {
3639: for (k = 0; k < B_N; k++) S[ne * B_N + k] = eigv[e * B_N + k];
3640: eigs[ne] = eigs[e];
3641: ne++;
3642: }
3643: }
3644: PetscCall(PetscArraycpy(eigv, S, B_N * ne));
3645: B_neigs = ne;
3646: }
3647: break;
3648: default:
3649: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_SUP, "Unknown recipe %" PetscInt_FMT, recipe);
3650: }
3651: }
3652: } else if (!same_data) { /* this is just to see all the eigenvalues */
3653: B_IU = PetscMax(1, PetscMin(B_N, nmax));
3654: B_IL = 1;
3655: #if defined(PETSC_USE_COMPLEX)
3656: 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));
3657: #else
3658: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "I", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs, eigs, eigv, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3659: #endif
3660: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3661: } else { /* same_data is true, so just get the adaptive functional requested by the user */
3662: PetscInt k;
3663: PetscCheck(sub_schurs->change_primal_sub, PETSC_COMM_SELF, PETSC_ERR_PLIB, "This should not happen");
3664: PetscCall(ISGetLocalSize(sub_schurs->change_primal_sub[i], &nmax));
3665: PetscCall(PetscBLASIntCast(nmax, &B_neigs));
3666: nmin = nmax;
3667: PetscCall(PetscArrayzero(eigv, subset_size * nmax));
3668: for (k = 0; k < nmax; k++) {
3669: eigs[k] = 1. / PETSC_SMALL;
3670: eigv[k * (subset_size + 1)] = 1.0;
3671: }
3672: }
3673: PetscCall(PetscFPTrapPop());
3674: if (B_ierr) {
3675: PetscCheck(B_ierr >= 0, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: illegal value for argument %" PetscBLASInt_FMT, -B_ierr);
3676: PetscCheck(B_ierr > B_N, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: %" PetscBLASInt_FMT " eigenvalues failed to converge", B_ierr);
3677: 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);
3678: }
3680: if (B_neigs > nmax) {
3681: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " found %" PetscBLASInt_FMT " eigs, more than maximum required %" PetscInt_FMT ".\n", B_neigs, nmax));
3682: if (upart) eigs_start = scal ? 0 : B_neigs - nmax;
3683: B_neigs = nmax;
3684: }
3686: nmin_s = PetscMin(nmin, B_N);
3687: if (B_neigs < nmin_s) {
3688: PetscBLASInt B_neigs2 = 0;
3690: if (upart) {
3691: if (scal) {
3692: B_IU = nmin_s;
3693: B_IL = B_neigs + 1;
3694: } else {
3695: B_IL = B_N - nmin_s + 1;
3696: B_IU = B_N - B_neigs;
3697: }
3698: } else {
3699: B_IL = B_neigs + 1;
3700: B_IU = nmin_s;
3701: }
3702: if (pcbddc->dbg_flag) {
3703: 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));
3704: }
3705: if (sub_schurs->is_symmetric) {
3706: PetscInt j, k;
3707: for (j = 0; j < subset_size; j++) {
3708: for (k = j; k < subset_size; k++) {
3709: S[j * subset_size + k] = Sarray[cumarray + j * subset_size + k];
3710: St[j * subset_size + k] = Starray[cumarray + j * subset_size + k];
3711: }
3712: }
3713: } else {
3714: PetscCall(PetscArraycpy(S, Sarray + cumarray, subset_size * subset_size));
3715: PetscCall(PetscArraycpy(St, Starray + cumarray, subset_size * subset_size));
3716: }
3717: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
3718: #if defined(PETSC_USE_COMPLEX)
3719: 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));
3720: #else
3721: PetscCallBLAS("LAPACKsygvx", LAPACKsygvx_(&B_itype, "V", "I", "L", &B_N, St, &B_N, S, &B_N, &lower, &upper, &B_IL, &B_IU, &eps, &B_neigs2, eigs + B_neigs, eigv + B_neigs * subset_size, &B_N, work, &B_lwork, B_iwork, B_ifail, &B_ierr));
3722: #endif
3723: PetscCall(PetscLogFlops((4.0 * subset_size * subset_size * subset_size) / 3.0));
3724: PetscCall(PetscFPTrapPop());
3725: B_neigs += B_neigs2;
3726: }
3727: if (B_ierr) {
3728: PetscCheck(B_ierr >= 0, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: illegal value for argument %" PetscBLASInt_FMT, -B_ierr);
3729: PetscCheck(B_ierr > B_N, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYGVX Lapack routine: %" PetscBLASInt_FMT " eigenvalues failed to converge", B_ierr);
3730: 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);
3731: }
3732: if (pcbddc->dbg_flag) {
3733: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " -> Got %" PetscBLASInt_FMT " eigs\n", B_neigs));
3734: for (j = 0; j < B_neigs; j++) {
3735: if (!sub_schurs->gdsw) {
3736: if (eigs[j] == 0.0) {
3737: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " Inf\n"));
3738: } else {
3739: if (upart) {
3740: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.6e\n", (double)eigs[j + eigs_start]));
3741: } else {
3742: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.6e\n", (double)(1. / eigs[j + eigs_start])));
3743: }
3744: }
3745: } else {
3746: double pg = (double)eigs[j + eigs_start];
3747: if (pg < 2 * PETSC_SMALL) pg = 0.0;
3748: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.6e\n", pg));
3749: }
3750: }
3751: }
3752: }
3753: /* change the basis back to the original one */
3754: if (sub_schurs->change) {
3755: Mat change, phi, phit;
3757: if (pcbddc->dbg_flag > 2) {
3758: PetscInt ii;
3759: for (ii = 0; ii < B_neigs; ii++) {
3760: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " -> Eigenvector (old basis) %" PetscInt_FMT "/%" PetscBLASInt_FMT " (%" PetscBLASInt_FMT ")\n", ii, B_neigs, B_N));
3761: for (j = 0; j < B_N; j++) {
3762: #if defined(PETSC_USE_COMPLEX)
3763: PetscReal r = PetscRealPart(eigv[(ii + eigs_start) * subset_size + j]);
3764: PetscReal c = PetscImaginaryPart(eigv[(ii + eigs_start) * subset_size + j]);
3765: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e + %1.4e i\n", (double)r, (double)c));
3766: #else
3767: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e\n", (double)(eigv[(ii + eigs_start) * subset_size + j])));
3768: #endif
3769: }
3770: }
3771: }
3772: PetscCall(KSPGetOperators(sub_schurs->change[i], &change, NULL));
3773: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, subset_size, B_neigs, eigv + eigs_start * subset_size, &phit));
3774: PetscCall(MatMatMult(change, phit, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &phi));
3775: PetscCall(MatCopy(phi, phit, SAME_NONZERO_PATTERN));
3776: PetscCall(MatDestroy(&phit));
3777: PetscCall(MatDestroy(&phi));
3778: }
3779: maxneigs = PetscMax(B_neigs, maxneigs);
3780: pcbddc->adaptive_constraints_n[i + nv] = B_neigs;
3781: if (B_neigs) {
3782: PetscCall(PetscArraycpy(pcbddc->adaptive_constraints_data + pcbddc->adaptive_constraints_data_ptr[cum], eigv + eigs_start * subset_size, B_neigs * subset_size));
3784: if (pcbddc->dbg_flag > 1) {
3785: PetscInt ii;
3786: for (ii = 0; ii < B_neigs; ii++) {
3787: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " -> Eigenvector %" PetscInt_FMT "/%" PetscBLASInt_FMT " (%" PetscBLASInt_FMT ")\n", ii, B_neigs, B_N));
3788: for (j = 0; j < B_N; j++) {
3789: #if defined(PETSC_USE_COMPLEX)
3790: PetscReal r = PetscRealPart(pcbddc->adaptive_constraints_data[ii * subset_size + j + pcbddc->adaptive_constraints_data_ptr[cum]]);
3791: PetscReal c = PetscImaginaryPart(pcbddc->adaptive_constraints_data[ii * subset_size + j + pcbddc->adaptive_constraints_data_ptr[cum]]);
3792: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e + %1.4e i\n", (double)r, (double)c));
3793: #else
3794: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, " %1.4e\n", (double)PetscRealPart(pcbddc->adaptive_constraints_data[ii * subset_size + j + pcbddc->adaptive_constraints_data_ptr[cum]])));
3795: #endif
3796: }
3797: }
3798: }
3799: PetscCall(PetscArraycpy(pcbddc->adaptive_constraints_idxs + pcbddc->adaptive_constraints_idxs_ptr[cum], idxs, subset_size));
3800: pcbddc->adaptive_constraints_idxs_ptr[cum + 1] = pcbddc->adaptive_constraints_idxs_ptr[cum] + subset_size;
3801: pcbddc->adaptive_constraints_data_ptr[cum + 1] = pcbddc->adaptive_constraints_data_ptr[cum] + subset_size * B_neigs;
3802: cum++;
3803: }
3804: PetscCall(ISRestoreIndices(sub_schurs->is_subs[i], &idxs));
3805: /* shift for next computation */
3806: cumarray += subset_size * subset_size;
3807: }
3808: if (pcbddc->dbg_flag) PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
3810: if (mss) {
3811: if (sub_schurs->gdsw) {
3812: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all, &Sarray));
3813: PetscCall(MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3814: } else {
3815: PetscCall(MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_inv_all, &Sarray));
3816: PetscCall(MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_tilda_all, &Starray));
3817: /* destroy matrices (junk) */
3818: PetscCall(MatDestroy(&sub_schurs->sum_S_Ej_inv_all));
3819: PetscCall(MatDestroy(&sub_schurs->sum_S_Ej_tilda_all));
3820: }
3821: }
3822: if (allocated_S_St) PetscCall(PetscFree2(S, St));
3823: PetscCall(PetscFree5(eigv, eigs, work, B_iwork, B_ifail));
3824: #if defined(PETSC_USE_COMPLEX)
3825: PetscCall(PetscFree(rwork));
3826: #endif
3827: if (pcbddc->dbg_flag) {
3828: PetscInt maxneigs_r;
3829: PetscCall(MPIU_Allreduce(&maxneigs, &maxneigs_r, 1, MPIU_INT, MPI_MAX, PetscObjectComm((PetscObject)pc)));
3830: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Maximum number of constraints per cc %" PetscInt_FMT "\n", maxneigs_r));
3831: }
3832: PetscCall(PetscLogEventEnd(PC_BDDC_AdaptiveSetUp[pcbddc->current_level], pc, 0, 0, 0));
3833: PetscFunctionReturn(PETSC_SUCCESS);
3834: }
3836: PetscErrorCode PCBDDCSetUpSolvers(PC pc)
3837: {
3838: Mat coarse_submat;
3840: PetscFunctionBegin;
3841: /* Setup local scatters R_to_B and (optionally) R_to_D */
3842: /* PCBDDCSetUpLocalWorkVectors should be called first! */
3843: PetscCall(PCBDDCSetUpLocalScatters(pc));
3845: /* Setup local neumann solver ksp_R */
3846: /* PCBDDCSetUpLocalScatters should be called first! */
3847: PetscCall(PCBDDCSetUpLocalSolvers(pc, PETSC_FALSE, PETSC_TRUE));
3849: /*
3850: Setup local correction and local part of coarse basis.
3851: Gives back the dense local part of the coarse matrix in column major ordering
3852: */
3853: PetscCall(PCBDDCSetUpCorrection(pc, &coarse_submat));
3855: /* Compute total number of coarse nodes and setup coarse solver */
3856: PetscCall(PCBDDCSetUpCoarseSolver(pc, coarse_submat));
3857: PetscCall(MatDestroy(&coarse_submat));
3858: PetscFunctionReturn(PETSC_SUCCESS);
3859: }
3861: PetscErrorCode PCBDDCResetCustomization(PC pc)
3862: {
3863: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3865: PetscFunctionBegin;
3866: PetscCall(ISDestroy(&pcbddc->user_primal_vertices));
3867: PetscCall(ISDestroy(&pcbddc->user_primal_vertices_local));
3868: PetscCall(ISDestroy(&pcbddc->NeumannBoundaries));
3869: PetscCall(ISDestroy(&pcbddc->NeumannBoundariesLocal));
3870: PetscCall(ISDestroy(&pcbddc->DirichletBoundaries));
3871: PetscCall(MatNullSpaceDestroy(&pcbddc->onearnullspace));
3872: PetscCall(PetscFree(pcbddc->onearnullvecs_state));
3873: PetscCall(ISDestroy(&pcbddc->DirichletBoundariesLocal));
3874: PetscCall(PCBDDCSetDofsSplitting(pc, 0, NULL));
3875: PetscCall(PCBDDCSetDofsSplittingLocal(pc, 0, NULL));
3876: PetscFunctionReturn(PETSC_SUCCESS);
3877: }
3879: PetscErrorCode PCBDDCResetTopography(PC pc)
3880: {
3881: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3882: PetscInt i;
3884: PetscFunctionBegin;
3885: PetscCall(MatDestroy(&pcbddc->nedcG));
3886: PetscCall(ISDestroy(&pcbddc->nedclocal));
3887: PetscCall(MatDestroy(&pcbddc->discretegradient));
3888: PetscCall(MatDestroy(&pcbddc->user_ChangeOfBasisMatrix));
3889: PetscCall(MatDestroy(&pcbddc->ChangeOfBasisMatrix));
3890: PetscCall(MatDestroy(&pcbddc->switch_static_change));
3891: PetscCall(VecDestroy(&pcbddc->work_change));
3892: PetscCall(MatDestroy(&pcbddc->ConstraintMatrix));
3893: PetscCall(MatDestroy(&pcbddc->divudotp));
3894: PetscCall(ISDestroy(&pcbddc->divudotp_vl2l));
3895: PetscCall(PCBDDCGraphDestroy(&pcbddc->mat_graph));
3896: for (i = 0; i < pcbddc->n_local_subs; i++) PetscCall(ISDestroy(&pcbddc->local_subs[i]));
3897: pcbddc->n_local_subs = 0;
3898: PetscCall(PetscFree(pcbddc->local_subs));
3899: PetscCall(PCBDDCSubSchursDestroy(&pcbddc->sub_schurs));
3900: pcbddc->graphanalyzed = PETSC_FALSE;
3901: pcbddc->recompute_topography = PETSC_TRUE;
3902: pcbddc->corner_selected = PETSC_FALSE;
3903: PetscFunctionReturn(PETSC_SUCCESS);
3904: }
3906: PetscErrorCode PCBDDCResetSolvers(PC pc)
3907: {
3908: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3910: PetscFunctionBegin;
3911: PetscCall(VecDestroy(&pcbddc->coarse_vec));
3912: PetscCall(MatDestroy(&pcbddc->coarse_phi_B));
3913: PetscCall(MatDestroy(&pcbddc->coarse_phi_D));
3914: PetscCall(MatDestroy(&pcbddc->coarse_psi_B));
3915: PetscCall(MatDestroy(&pcbddc->coarse_psi_D));
3916: PetscCall(VecDestroy(&pcbddc->vec1_P));
3917: PetscCall(VecDestroy(&pcbddc->vec1_C));
3918: PetscCall(MatDestroy(&pcbddc->local_auxmat2));
3919: PetscCall(MatDestroy(&pcbddc->local_auxmat1));
3920: PetscCall(VecDestroy(&pcbddc->vec1_R));
3921: PetscCall(VecDestroy(&pcbddc->vec2_R));
3922: PetscCall(ISDestroy(&pcbddc->is_R_local));
3923: PetscCall(VecScatterDestroy(&pcbddc->R_to_B));
3924: PetscCall(VecScatterDestroy(&pcbddc->R_to_D));
3925: PetscCall(VecScatterDestroy(&pcbddc->coarse_loc_to_glob));
3926: PetscCall(KSPReset(pcbddc->ksp_D));
3927: PetscCall(KSPReset(pcbddc->ksp_R));
3928: PetscCall(KSPReset(pcbddc->coarse_ksp));
3929: PetscCall(MatDestroy(&pcbddc->local_mat));
3930: PetscCall(PetscFree(pcbddc->primal_indices_local_idxs));
3931: PetscCall(PetscFree2(pcbddc->local_primal_ref_node, pcbddc->local_primal_ref_mult));
3932: PetscCall(PetscFree(pcbddc->global_primal_indices));
3933: PetscCall(ISDestroy(&pcbddc->coarse_subassembling));
3934: PetscCall(MatDestroy(&pcbddc->benign_change));
3935: PetscCall(VecDestroy(&pcbddc->benign_vec));
3936: PetscCall(PCBDDCBenignShellMat(pc, PETSC_TRUE));
3937: PetscCall(MatDestroy(&pcbddc->benign_B0));
3938: PetscCall(PetscSFDestroy(&pcbddc->benign_sf));
3939: if (pcbddc->benign_zerodiag_subs) {
3940: PetscInt i;
3941: for (i = 0; i < pcbddc->benign_n; i++) PetscCall(ISDestroy(&pcbddc->benign_zerodiag_subs[i]));
3942: PetscCall(PetscFree(pcbddc->benign_zerodiag_subs));
3943: }
3944: PetscCall(PetscFree3(pcbddc->benign_p0_lidx, pcbddc->benign_p0_gidx, pcbddc->benign_p0));
3945: PetscFunctionReturn(PETSC_SUCCESS);
3946: }
3948: PetscErrorCode PCBDDCSetUpLocalWorkVectors(PC pc)
3949: {
3950: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
3951: PC_IS *pcis = (PC_IS *)pc->data;
3952: VecType impVecType;
3953: PetscInt n_constraints, n_R, old_size;
3955: PetscFunctionBegin;
3956: n_constraints = pcbddc->local_primal_size - pcbddc->benign_n - pcbddc->n_vertices;
3957: n_R = pcis->n - pcbddc->n_vertices;
3958: PetscCall(VecGetType(pcis->vec1_N, &impVecType));
3959: /* local work vectors (try to avoid unneeded work)*/
3960: /* R nodes */
3961: old_size = -1;
3962: if (pcbddc->vec1_R) PetscCall(VecGetSize(pcbddc->vec1_R, &old_size));
3963: if (n_R != old_size) {
3964: PetscCall(VecDestroy(&pcbddc->vec1_R));
3965: PetscCall(VecDestroy(&pcbddc->vec2_R));
3966: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &pcbddc->vec1_R));
3967: PetscCall(VecSetSizes(pcbddc->vec1_R, PETSC_DECIDE, n_R));
3968: PetscCall(VecSetType(pcbddc->vec1_R, impVecType));
3969: PetscCall(VecDuplicate(pcbddc->vec1_R, &pcbddc->vec2_R));
3970: }
3971: /* local primal dofs */
3972: old_size = -1;
3973: if (pcbddc->vec1_P) PetscCall(VecGetSize(pcbddc->vec1_P, &old_size));
3974: if (pcbddc->local_primal_size != old_size) {
3975: PetscCall(VecDestroy(&pcbddc->vec1_P));
3976: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &pcbddc->vec1_P));
3977: PetscCall(VecSetSizes(pcbddc->vec1_P, PETSC_DECIDE, pcbddc->local_primal_size));
3978: PetscCall(VecSetType(pcbddc->vec1_P, impVecType));
3979: }
3980: /* local explicit constraints */
3981: old_size = -1;
3982: if (pcbddc->vec1_C) PetscCall(VecGetSize(pcbddc->vec1_C, &old_size));
3983: if (n_constraints && n_constraints != old_size) {
3984: PetscCall(VecDestroy(&pcbddc->vec1_C));
3985: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &pcbddc->vec1_C));
3986: PetscCall(VecSetSizes(pcbddc->vec1_C, PETSC_DECIDE, n_constraints));
3987: PetscCall(VecSetType(pcbddc->vec1_C, impVecType));
3988: }
3989: PetscFunctionReturn(PETSC_SUCCESS);
3990: }
3992: static PetscErrorCode MatSetValuesSubMat(Mat A, Mat S, PetscInt nr, const PetscInt rows[], PetscInt nc, const PetscInt cols[], InsertMode imode)
3993: {
3994: PetscBool flg;
3995: const PetscScalar *a;
3997: PetscFunctionBegin;
3998: PetscCall(PetscObjectBaseTypeCompare((PetscObject)S, MATSEQDENSE, &flg));
3999: if (flg) {
4000: PetscCall(MatDenseGetArrayRead(S, &a));
4001: PetscCall(MatSetOption(A, MAT_ROW_ORIENTED, PETSC_FALSE));
4002: PetscCall(MatSetValues(A, nr, rows, nc, cols, a, imode));
4003: PetscCall(MatSetOption(A, MAT_ROW_ORIENTED, PETSC_TRUE));
4004: PetscCall(MatDenseRestoreArrayRead(S, &a));
4005: } else {
4006: const PetscInt *ii, *jj;
4007: PetscInt n;
4008: PetscInt buf[8192], *bufc = NULL;
4009: PetscBool freeb = PETSC_FALSE;
4010: Mat Sm = S;
4012: PetscCall(PetscObjectBaseTypeCompare((PetscObject)S, MATSEQAIJ, &flg));
4013: if (!flg) PetscCall(MatConvert(S, MATSEQAIJ, MAT_INITIAL_MATRIX, &Sm));
4014: else PetscCall(PetscObjectReference((PetscObject)S));
4015: PetscCall(MatSeqAIJGetArrayRead(Sm, &a));
4016: PetscCall(MatGetRowIJ(Sm, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg));
4017: PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Cannot get IJ structure");
4018: if (nc <= (PetscInt)PETSC_STATIC_ARRAY_LENGTH(buf)) {
4019: bufc = buf;
4020: } else {
4021: PetscCall(PetscMalloc1(nc, &bufc));
4022: freeb = PETSC_TRUE;
4023: }
4025: for (PetscInt i = 0; i < n; i++) {
4026: const PetscInt nci = ii[i + 1] - ii[i];
4028: for (PetscInt j = 0; j < nci; j++) bufc[j] = cols[jj[ii[i] + j]];
4029: PetscCall(MatSetValues(A, 1, rows + i, nci, bufc, a + ii[i], imode));
4030: }
4031: PetscCall(MatRestoreRowIJ(Sm, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg));
4032: PetscCall(MatSeqAIJRestoreArrayRead(Sm, &a));
4033: PetscCall(MatDestroy(&Sm));
4034: if (freeb) PetscCall(PetscFree(bufc));
4035: }
4036: PetscCall(MatAssemblyBegin(A, MAT_FLUSH_ASSEMBLY));
4037: PetscCall(MatAssemblyEnd(A, MAT_FLUSH_ASSEMBLY));
4038: PetscFunctionReturn(PETSC_SUCCESS);
4039: }
4041: static PetscErrorCode MatCreateSeqAIJFromDenseExpand(Mat D, PetscInt n, const PetscInt j[], Mat *mat)
4042: {
4043: Mat_SeqAIJ *aij;
4044: PetscInt *ii, *jj;
4045: PetscScalar *aa;
4046: PetscInt nnz = 0, m, nc;
4047: const PetscScalar *a;
4048: const PetscScalar zero = 0.0;
4050: PetscFunctionBegin;
4051: PetscCall(MatGetLocalSize(D, &m, &nc));
4052: PetscCall(MatDenseGetArrayRead(D, &a));
4053: PetscCall(PetscMalloc1(m + 1, &ii));
4054: PetscCall(PetscMalloc1(m * nc, &jj));
4055: PetscCall(PetscMalloc1(m * nc, &aa));
4056: ii[0] = 0;
4057: for (PetscInt k = 0; k < m; k++) {
4058: for (PetscInt s = 0; s < nc; s++) {
4059: const PetscInt c = s + k * nc;
4060: const PetscScalar v = a[k + s * m];
4062: if (PetscUnlikely(j[c] < 0 || v == zero)) continue;
4063: jj[nnz] = j[c];
4064: aa[nnz] = a[k + s * m];
4065: nnz++;
4066: }
4067: ii[k + 1] = nnz;
4068: }
4070: PetscCall(MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)D), m, n, ii, jj, aa, mat));
4071: PetscCall(MatDenseRestoreArrayRead(D, &a));
4073: aij = (Mat_SeqAIJ *)(*mat)->data;
4074: aij->free_a = PETSC_TRUE;
4075: aij->free_ij = PETSC_TRUE;
4076: PetscFunctionReturn(PETSC_SUCCESS);
4077: }
4079: /* adapted from MatInvertVariableBlockDiagonal_SeqAIJ */
4080: static PetscErrorCode MatSeqAIJInvertVariableBlockDiagonalMat(Mat A, PetscInt nblocks, const PetscInt *bsizes, Mat *B)
4081: {
4082: PetscInt n = A->rmap->n, ncnt = 0, ncnt2 = 0, bsizemax = 0, *v_pivots = NULL;
4083: const PetscBool allowzeropivot = PETSC_FALSE;
4084: PetscBool zeropivotdetected = PETSC_FALSE;
4085: const PetscReal shift = 0.0;
4086: PetscInt ipvt[5], *ii, *jj, *indi, *indj;
4087: PetscScalar work[25], *v_work = NULL, *aa, *diag;
4088: PetscLogDouble flops = 0.0;
4090: PetscFunctionBegin;
4091: PetscCheck(A->rmap->n == A->cmap->n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Not for rectangular matrices");
4092: for (PetscInt i = 0; i < nblocks; i++) {
4093: ncnt += bsizes[i];
4094: ncnt2 += PetscSqr(bsizes[i]);
4095: }
4096: PetscCheck(ncnt == n, PETSC_COMM_SELF, PETSC_ERR_ARG_SIZ, "Total blocksizes %" PetscInt_FMT " doesn't match number matrix rows %" PetscInt_FMT, ncnt, n);
4097: for (PetscInt i = 0; i < nblocks; i++) bsizemax = PetscMax(bsizemax, bsizes[i]);
4098: if (bsizemax > 7) PetscCall(PetscMalloc2(bsizemax, &v_work, bsizemax, &v_pivots));
4100: PetscCall(PetscMalloc1(n + 1, &ii));
4101: PetscCall(PetscMalloc1(ncnt2, &jj));
4102: PetscCall(PetscCalloc1(ncnt2, &aa));
4104: ncnt = 0;
4105: ii[0] = 0;
4106: indi = ii;
4107: indj = jj;
4108: diag = aa;
4109: for (PetscInt i = 0; i < nblocks; i++) {
4110: const PetscInt bs = bsizes[i];
4112: for (PetscInt k = 0; k < bs; k++) {
4113: indi[k + 1] = indi[k] + bs;
4114: for (PetscInt j = 0; j < bs; j++) indj[k * bs + j] = ncnt + j;
4115: }
4116: PetscCall(MatGetValues(A, bs, indj, bs, indj, diag));
4117: switch (bs) {
4118: case 1:
4119: *diag = 1.0 / (*diag);
4120: break;
4121: case 2:
4122: PetscCall(PetscKernel_A_gets_inverse_A_2(diag, shift, allowzeropivot, &zeropivotdetected));
4123: break;
4124: case 3:
4125: PetscCall(PetscKernel_A_gets_inverse_A_3(diag, shift, allowzeropivot, &zeropivotdetected));
4126: break;
4127: case 4:
4128: PetscCall(PetscKernel_A_gets_inverse_A_4(diag, shift, allowzeropivot, &zeropivotdetected));
4129: break;
4130: case 5:
4131: PetscCall(PetscKernel_A_gets_inverse_A_5(diag, ipvt, work, shift, allowzeropivot, &zeropivotdetected));
4132: break;
4133: case 6:
4134: PetscCall(PetscKernel_A_gets_inverse_A_6(diag, shift, allowzeropivot, &zeropivotdetected));
4135: break;
4136: case 7:
4137: PetscCall(PetscKernel_A_gets_inverse_A_7(diag, shift, allowzeropivot, &zeropivotdetected));
4138: break;
4139: default:
4140: PetscCall(PetscKernel_A_gets_inverse_A(bs, diag, v_pivots, v_work, allowzeropivot, &zeropivotdetected));
4141: }
4142: ncnt += bs;
4143: flops += 2.0 * PetscPowInt(bs, 3) / 3.0;
4144: diag += bs * bs;
4145: indj += bs * bs;
4146: indi += bs;
4147: }
4148: PetscCall(PetscLogFlops(flops));
4149: PetscCall(PetscFree2(v_work, v_pivots));
4150: PetscCall(MatCreateSeqAIJWithArrays(PetscObjectComm((PetscObject)A), n, n, ii, jj, aa, B));
4151: {
4152: Mat_SeqAIJ *aij = (Mat_SeqAIJ *)(*B)->data;
4153: aij->free_a = PETSC_TRUE;
4154: aij->free_ij = PETSC_TRUE;
4155: }
4156: PetscFunctionReturn(PETSC_SUCCESS);
4157: }
4159: static PetscErrorCode MatDenseScatter(Mat A, PetscSF sf, Mat B)
4160: {
4161: const PetscScalar *rarr;
4162: PetscScalar *larr;
4163: PetscSF vsf;
4164: PetscInt n, rld, lld;
4166: PetscFunctionBegin;
4167: PetscCall(MatGetSize(A, NULL, &n));
4168: PetscCall(MatDenseGetLDA(A, &rld));
4169: PetscCall(MatDenseGetLDA(B, &lld));
4170: PetscCall(MatDenseGetArrayRead(A, &rarr));
4171: PetscCall(MatDenseGetArrayWrite(B, &larr));
4172: PetscCall(PetscSFCreateStridedSF(sf, n, rld, lld, &vsf));
4173: PetscCall(PetscSFBcastBegin(vsf, MPIU_SCALAR, rarr, larr, MPI_REPLACE));
4174: PetscCall(PetscSFBcastEnd(vsf, MPIU_SCALAR, rarr, larr, MPI_REPLACE));
4175: PetscCall(MatDenseRestoreArrayRead(A, &rarr));
4176: PetscCall(MatDenseRestoreArrayWrite(B, &larr));
4177: PetscCall(PetscSFDestroy(&vsf));
4178: PetscFunctionReturn(PETSC_SUCCESS);
4179: }
4181: PetscErrorCode PCBDDCSetUpCorrection(PC pc, Mat *coarse_submat)
4182: {
4183: PC_IS *pcis = (PC_IS *)pc->data;
4184: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
4185: PCBDDCGraph graph = pcbddc->mat_graph;
4186: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
4187: /* submatrices of local problem */
4188: Mat A_RV = NULL, A_VR, A_VV, local_auxmat2_R = NULL;
4189: /* submatrices of local coarse problem */
4190: Mat S_CV = NULL, S_VC = NULL, S_CC = NULL;
4191: /* working matrices */
4192: Mat C_CR;
4194: /* additional working stuff */
4195: PC pc_R;
4196: IS is_R, is_V, is_C;
4197: const PetscInt *idx_V, *idx_C;
4198: Mat F, Brhs = NULL;
4199: Vec dummy_vec;
4200: PetscBool isLU, isCHOL, need_benign_correction, sparserhs;
4201: PetscInt *idx_V_B;
4202: PetscInt lda_rhs, n_vertices, n_constraints, *p0_lidx_I;
4203: PetscInt n_eff_vertices, n_eff_constraints;
4204: PetscInt i, n_R, n_D, n_B;
4205: PetscScalar one = 1.0, m_one = -1.0;
4207: /* Multi-element support */
4208: PetscBool multi_element = graph->multi_element;
4209: PetscInt *V_to_eff_V = NULL, *C_to_eff_C = NULL;
4210: PetscInt *B_eff_V_J = NULL, *R_eff_V_J = NULL, *B_eff_C_J = NULL, *R_eff_C_J = NULL;
4211: IS is_C_perm = NULL;
4212: PetscInt n_C_bss = 0, *C_bss = NULL;
4213: Mat coarse_phi_multi;
4215: PetscFunctionBegin;
4216: PetscCheck(pcbddc->symmetric_primal || !pcbddc->benign_n, PETSC_COMM_SELF, PETSC_ERR_SUP, "Non-symmetric primal basis computation with benign trick not yet implemented");
4217: PetscCall(PetscLogEventBegin(PC_BDDC_CorrectionSetUp[pcbddc->current_level], pc, 0, 0, 0));
4219: /* Set Non-overlapping dimensions */
4220: n_vertices = pcbddc->n_vertices;
4221: n_constraints = pcbddc->local_primal_size - pcbddc->benign_n - n_vertices;
4222: n_B = pcis->n_B;
4223: n_D = pcis->n - n_B;
4224: n_R = pcis->n - n_vertices;
4226: /* vertices in boundary numbering */
4227: PetscCall(PetscMalloc1(n_vertices, &idx_V_B));
4228: PetscCall(ISGlobalToLocalMappingApply(pcis->BtoNmap, IS_GTOLM_DROP, n_vertices, pcbddc->local_primal_ref_node, &i, idx_V_B));
4229: PetscCheck(i == n_vertices, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in boundary numbering for BDDC vertices! %" PetscInt_FMT " != %" PetscInt_FMT, n_vertices, i);
4231: /* these two cases still need to be optimized */
4232: if (pcbddc->benign_saddle_point || !pcbddc->symmetric_primal) multi_element = PETSC_FALSE;
4234: /* Subdomain contribution (Non-overlapping) to coarse matrix */
4235: if (multi_element) {
4236: PetscCheck(!pcbddc->benign_n, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
4238: PetscCall(MatCreate(PETSC_COMM_SELF, coarse_submat));
4239: PetscCall(MatSetSizes(*coarse_submat, pcbddc->local_primal_size, pcbddc->local_primal_size, pcbddc->local_primal_size, pcbddc->local_primal_size));
4240: PetscCall(MatSetType(*coarse_submat, MATSEQAIJ));
4241: PetscCall(MatSetOption(*coarse_submat, MAT_IGNORE_ZERO_ENTRIES, PETSC_TRUE));
4242: PetscCall(MatSetOption(*coarse_submat, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_TRUE));
4244: /* group vertices and constraints by subdomain id */
4245: const PetscInt *vidxs = pcbddc->primal_indices_local_idxs;
4246: const PetscInt *cidxs = pcbddc->primal_indices_local_idxs + n_vertices;
4247: PetscInt *count_eff, *V_eff_to_V, *C_eff_to_C, *nnz;
4248: PetscInt n_el = PetscMax(graph->n_local_subs, 1);
4250: PetscCall(PetscCalloc1(2 * n_el, &count_eff));
4251: PetscCall(PetscMalloc1(n_vertices, &V_to_eff_V));
4252: PetscCall(PetscMalloc1(n_constraints, &C_to_eff_C));
4253: for (PetscInt i = 0; i < n_vertices; i++) {
4254: PetscInt s = 2 * graph->nodes[vidxs[i]].local_sub;
4256: V_to_eff_V[i] = count_eff[s];
4257: count_eff[s] += 1;
4258: }
4259: for (PetscInt i = 0; i < n_constraints; i++) {
4260: PetscInt s = 2 * graph->nodes[cidxs[i]].local_sub + 1;
4262: C_to_eff_C[i] = count_eff[s];
4263: count_eff[s] += 1;
4264: }
4266: /* preallocation */
4267: PetscCall(PetscMalloc1(n_vertices + n_constraints, &nnz));
4268: for (PetscInt i = 0; i < n_vertices; i++) {
4269: PetscInt s = 2 * graph->nodes[vidxs[i]].local_sub;
4271: nnz[i] = count_eff[s] + count_eff[s + 1];
4272: }
4273: for (PetscInt i = 0; i < n_constraints; i++) {
4274: PetscInt s = 2 * graph->nodes[cidxs[i]].local_sub;
4276: nnz[i + n_vertices] = count_eff[s] + count_eff[s + 1];
4277: }
4278: PetscCall(MatSeqAIJSetPreallocation(*coarse_submat, 0, nnz));
4279: PetscCall(PetscFree(nnz));
4281: n_eff_vertices = 0;
4282: n_eff_constraints = 0;
4283: for (PetscInt i = 0; i < n_el; i++) {
4284: n_eff_vertices = PetscMax(n_eff_vertices, count_eff[2 * i]);
4285: n_eff_constraints = PetscMax(n_eff_constraints, count_eff[2 * i + 1]);
4286: count_eff[2 * i] = 0;
4287: count_eff[2 * i + 1] = 0;
4288: }
4290: const PetscInt *idx;
4291: PetscCall(PetscMalloc2(n_el * n_eff_vertices, &V_eff_to_V, n_el * n_eff_constraints, &C_eff_to_C));
4293: for (PetscInt i = 0; i < n_vertices; i++) {
4294: const PetscInt e = graph->nodes[vidxs[i]].local_sub;
4295: const PetscInt s = 2 * e;
4297: V_eff_to_V[e * n_eff_vertices + count_eff[s]] = i;
4298: count_eff[s] += 1;
4299: }
4300: for (PetscInt i = 0; i < n_constraints; i++) {
4301: const PetscInt e = graph->nodes[cidxs[i]].local_sub;
4302: const PetscInt s = 2 * e + 1;
4304: C_eff_to_C[e * n_eff_constraints + count_eff[s]] = i;
4305: count_eff[s] += 1;
4306: }
4308: PetscCall(PetscMalloc1(n_R * n_eff_vertices, &R_eff_V_J));
4309: PetscCall(PetscMalloc1(n_R * n_eff_constraints, &R_eff_C_J));
4310: PetscCall(PetscMalloc1(n_B * n_eff_vertices, &B_eff_V_J));
4311: PetscCall(PetscMalloc1(n_B * n_eff_constraints, &B_eff_C_J));
4312: for (PetscInt i = 0; i < n_R * n_eff_vertices; i++) R_eff_V_J[i] = -1;
4313: for (PetscInt i = 0; i < n_R * n_eff_constraints; i++) R_eff_C_J[i] = -1;
4314: for (PetscInt i = 0; i < n_B * n_eff_vertices; i++) B_eff_V_J[i] = -1;
4315: for (PetscInt i = 0; i < n_B * n_eff_constraints; i++) B_eff_C_J[i] = -1;
4317: PetscCall(ISGetIndices(pcbddc->is_R_local, &idx));
4318: for (PetscInt i = 0; i < n_R; i++) {
4319: const PetscInt e = graph->nodes[idx[i]].local_sub;
4320: const PetscInt s = 2 * e;
4321: PetscInt j;
4323: 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];
4324: 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];
4325: }
4326: PetscCall(ISRestoreIndices(pcbddc->is_R_local, &idx));
4327: PetscCall(ISGetIndices(pcis->is_B_local, &idx));
4328: for (PetscInt i = 0; i < n_B; i++) {
4329: const PetscInt e = graph->nodes[idx[i]].local_sub;
4330: const PetscInt s = 2 * e;
4331: PetscInt j;
4333: 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];
4334: 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];
4335: }
4336: PetscCall(ISRestoreIndices(pcis->is_B_local, &idx));
4338: /* permutation and blocksizes for block invert of S_CC */
4339: PetscInt *idxp;
4341: PetscCall(PetscMalloc1(n_constraints, &idxp));
4342: PetscCall(PetscMalloc1(n_el, &C_bss));
4343: n_C_bss = 0;
4344: for (PetscInt e = 0, cnt = 0; e < n_el; e++) {
4345: const PetscInt nc = count_eff[2 * e + 1];
4347: if (nc) C_bss[n_C_bss++] = nc;
4348: for (PetscInt c = 0; c < nc; c++) { idxp[cnt + c] = C_eff_to_C[e * n_eff_constraints + c]; }
4349: cnt += nc;
4350: }
4352: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, n_constraints, idxp, PETSC_OWN_POINTER, &is_C_perm));
4354: PetscCall(PetscFree2(V_eff_to_V, C_eff_to_C));
4355: PetscCall(PetscFree(count_eff));
4356: } else {
4357: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, pcbddc->local_primal_size, pcbddc->local_primal_size, NULL, coarse_submat));
4358: n_eff_constraints = n_constraints;
4359: n_eff_vertices = n_vertices;
4360: }
4362: /* determine if can use MatSolve routines instead of calling KSPSolve on ksp_R */
4363: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_R));
4364: PetscCall(PCSetUp(pc_R));
4365: PetscCall(PetscObjectTypeCompare((PetscObject)pc_R, PCLU, &isLU));
4366: PetscCall(PetscObjectTypeCompare((PetscObject)pc_R, PCCHOLESKY, &isCHOL));
4367: lda_rhs = n_R;
4368: need_benign_correction = PETSC_FALSE;
4369: if (isLU || isCHOL) {
4370: PetscCall(PCFactorGetMatrix(pc_R, &F));
4371: } else if (sub_schurs && sub_schurs->reuse_solver) {
4372: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4373: MatFactorType type;
4375: F = reuse_solver->F;
4376: PetscCall(MatGetFactorType(F, &type));
4377: if (type == MAT_FACTOR_CHOLESKY) isCHOL = PETSC_TRUE;
4378: if (type == MAT_FACTOR_LU) isLU = PETSC_TRUE;
4379: PetscCall(MatGetSize(F, &lda_rhs, NULL));
4380: need_benign_correction = (PetscBool)(!!reuse_solver->benign_n);
4381: } else F = NULL;
4383: /* determine if we can use a sparse right-hand side */
4384: sparserhs = PETSC_FALSE;
4385: if (F && !multi_element) {
4386: MatSolverType solver;
4388: PetscCall(MatFactorGetSolverType(F, &solver));
4389: PetscCall(PetscStrcmp(solver, MATSOLVERMUMPS, &sparserhs));
4390: }
4392: /* create dummy vector to modify rhs and sol of MatMatSolve (work array will never be used) */
4393: dummy_vec = NULL;
4394: if (need_benign_correction && lda_rhs != n_R && F) {
4395: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N), &dummy_vec));
4396: PetscCall(VecSetSizes(dummy_vec, lda_rhs, PETSC_DECIDE));
4397: PetscCall(VecSetType(dummy_vec, ((PetscObject)pcis->vec1_N)->type_name));
4398: }
4400: PetscCall(MatDestroy(&pcbddc->local_auxmat1));
4401: PetscCall(MatDestroy(&pcbddc->local_auxmat2));
4403: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_R, 0, 1, &is_R));
4404: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_vertices, 0, 1, &is_V));
4405: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_constraints, n_vertices, 1, &is_C));
4406: PetscCall(ISGetIndices(is_V, &idx_V));
4407: PetscCall(ISGetIndices(is_C, &idx_C));
4409: /* Precompute stuffs needed for preprocessing and application of BDDC*/
4410: if (n_constraints) {
4411: Mat C_B;
4413: /* Extract constraints on R nodes: C_{CR} */
4414: PetscCall(MatCreateSubMatrix(pcbddc->ConstraintMatrix, is_C, pcbddc->is_R_local, MAT_INITIAL_MATRIX, &C_CR));
4415: PetscCall(MatCreateSubMatrix(pcbddc->ConstraintMatrix, is_C, pcis->is_B_local, MAT_INITIAL_MATRIX, &C_B));
4417: /* Assemble local_auxmat2_R = (- A_{RR}^{-1} C^T_{CR}) needed by BDDC setup */
4418: /* Assemble pcbddc->local_auxmat2 = R_to_B (- A_{RR}^{-1} C^T_{CR}) needed by BDDC application */
4419: if (!sparserhs) {
4420: PetscScalar *marr;
4422: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_constraints, NULL, &Brhs));
4423: PetscCall(MatDenseGetArrayWrite(Brhs, &marr));
4424: for (i = 0; i < n_constraints; i++) {
4425: const PetscScalar *row_cmat_values;
4426: const PetscInt *row_cmat_indices;
4427: PetscInt size_of_constraint, j, col = C_to_eff_C ? C_to_eff_C[i] : i;
4429: PetscCall(MatGetRow(C_CR, i, &size_of_constraint, &row_cmat_indices, &row_cmat_values));
4430: for (j = 0; j < size_of_constraint; j++) marr[row_cmat_indices[j] + col * lda_rhs] = -row_cmat_values[j];
4431: PetscCall(MatRestoreRow(C_CR, i, &size_of_constraint, &row_cmat_indices, &row_cmat_values));
4432: }
4433: PetscCall(MatDenseRestoreArrayWrite(Brhs, &marr));
4434: } else {
4435: Mat tC_CR;
4437: PetscCall(MatScale(C_CR, -1.0));
4438: if (lda_rhs != n_R) {
4439: PetscScalar *aa;
4440: PetscInt r, *ii, *jj;
4441: PetscBool done;
4443: PetscCall(MatGetRowIJ(C_CR, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4444: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "GetRowIJ failed");
4445: PetscCall(MatSeqAIJGetArray(C_CR, &aa));
4446: PetscCall(MatCreateSeqAIJWithArrays(PETSC_COMM_SELF, n_constraints, lda_rhs, ii, jj, aa, &tC_CR));
4447: PetscCall(MatRestoreRowIJ(C_CR, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4448: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "RestoreRowIJ failed");
4449: } else {
4450: PetscCall(PetscObjectReference((PetscObject)C_CR));
4451: tC_CR = C_CR;
4452: }
4453: PetscCall(MatCreateTranspose(tC_CR, &Brhs));
4454: PetscCall(MatDestroy(&tC_CR));
4455: }
4456: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_constraints, NULL, &local_auxmat2_R));
4457: if (F) {
4458: if (need_benign_correction) {
4459: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4461: /* rhs is already zero on interior dofs, no need to change the rhs */
4462: PetscCall(PetscArrayzero(reuse_solver->benign_save_vals, pcbddc->benign_n));
4463: }
4464: PetscCall(MatMatSolve(F, Brhs, local_auxmat2_R));
4465: if (need_benign_correction) {
4466: PetscScalar *marr;
4467: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4469: /* XXX multi_element? */
4470: PetscCall(MatDenseGetArray(local_auxmat2_R, &marr));
4471: if (lda_rhs != n_R) {
4472: for (i = 0; i < n_eff_constraints; i++) {
4473: PetscCall(VecPlaceArray(dummy_vec, marr + i * lda_rhs));
4474: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, dummy_vec, NULL, PETSC_TRUE, PETSC_TRUE));
4475: PetscCall(VecResetArray(dummy_vec));
4476: }
4477: } else {
4478: for (i = 0; i < n_eff_constraints; i++) {
4479: PetscCall(VecPlaceArray(pcbddc->vec1_R, marr + i * lda_rhs));
4480: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, pcbddc->vec1_R, NULL, PETSC_TRUE, PETSC_TRUE));
4481: PetscCall(VecResetArray(pcbddc->vec1_R));
4482: }
4483: }
4484: PetscCall(MatDenseRestoreArray(local_auxmat2_R, &marr));
4485: }
4486: } else {
4487: const PetscScalar *barr;
4488: PetscScalar *marr;
4490: PetscCall(MatDenseGetArrayRead(Brhs, &barr));
4491: PetscCall(MatDenseGetArray(local_auxmat2_R, &marr));
4492: for (i = 0; i < n_eff_constraints; i++) {
4493: PetscCall(VecPlaceArray(pcbddc->vec1_R, barr + i * lda_rhs));
4494: PetscCall(VecPlaceArray(pcbddc->vec2_R, marr + i * lda_rhs));
4495: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
4496: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
4497: PetscCall(VecResetArray(pcbddc->vec1_R));
4498: PetscCall(VecResetArray(pcbddc->vec2_R));
4499: }
4500: PetscCall(MatDenseRestoreArrayRead(Brhs, &barr));
4501: PetscCall(MatDenseRestoreArray(local_auxmat2_R, &marr));
4502: }
4503: if (sparserhs) PetscCall(MatScale(C_CR, -1.0));
4504: PetscCall(MatDestroy(&Brhs));
4505: /* Assemble explicitly S_CC = ( C_{CR} A_{RR}^{-1} C^T_{CR})^{-1} */
4506: if (!pcbddc->switch_static) {
4507: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, n_eff_constraints, NULL, &pcbddc->local_auxmat2));
4508: for (i = 0; i < n_eff_constraints; i++) {
4509: Vec r, b;
4510: PetscCall(MatDenseGetColumnVecRead(local_auxmat2_R, i, &r));
4511: PetscCall(MatDenseGetColumnVec(pcbddc->local_auxmat2, i, &b));
4512: PetscCall(VecScatterBegin(pcbddc->R_to_B, r, b, INSERT_VALUES, SCATTER_FORWARD));
4513: PetscCall(VecScatterEnd(pcbddc->R_to_B, r, b, INSERT_VALUES, SCATTER_FORWARD));
4514: PetscCall(MatDenseRestoreColumnVec(pcbddc->local_auxmat2, i, &b));
4515: PetscCall(MatDenseRestoreColumnVecRead(local_auxmat2_R, i, &r));
4516: }
4517: if (multi_element) {
4518: Mat T;
4520: PetscCall(MatCreateSeqAIJFromDenseExpand(local_auxmat2_R, n_constraints, R_eff_C_J, &T));
4521: PetscCall(MatDestroy(&local_auxmat2_R));
4522: local_auxmat2_R = T;
4523: PetscCall(MatCreateSeqAIJFromDenseExpand(pcbddc->local_auxmat2, n_constraints, B_eff_C_J, &T));
4524: PetscCall(MatDestroy(&pcbddc->local_auxmat2));
4525: pcbddc->local_auxmat2 = T;
4526: }
4527: PetscCall(MatMatMult(C_B, pcbddc->local_auxmat2, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &S_CC));
4528: } else {
4529: if (multi_element) {
4530: Mat T;
4532: PetscCall(MatCreateSeqAIJFromDenseExpand(local_auxmat2_R, n_constraints, R_eff_C_J, &T));
4533: PetscCall(MatDestroy(&local_auxmat2_R));
4534: local_auxmat2_R = T;
4535: }
4536: if (lda_rhs != n_R) {
4537: PetscCall(MatCreateSubMatrix(local_auxmat2_R, is_R, NULL, MAT_INITIAL_MATRIX, &pcbddc->local_auxmat2));
4538: } else {
4539: PetscCall(PetscObjectReference((PetscObject)local_auxmat2_R));
4540: pcbddc->local_auxmat2 = local_auxmat2_R;
4541: }
4542: PetscCall(MatMatMult(C_CR, pcbddc->local_auxmat2, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &S_CC));
4543: }
4544: PetscCall(MatScale(S_CC, m_one));
4545: if (multi_element) {
4546: Mat T, T2;
4547: IS isp, ispi;
4549: isp = is_C_perm;
4551: PetscCall(ISInvertPermutation(isp, PETSC_DECIDE, &ispi));
4552: PetscCall(MatPermute(S_CC, isp, isp, &T));
4553: PetscCall(MatSeqAIJInvertVariableBlockDiagonalMat(T, n_C_bss, C_bss, &T2));
4554: PetscCall(MatDestroy(&T));
4555: PetscCall(MatDestroy(&S_CC));
4556: PetscCall(MatPermute(T2, ispi, ispi, &S_CC));
4557: PetscCall(MatDestroy(&T2));
4558: PetscCall(ISDestroy(&ispi));
4559: } else {
4560: if (isCHOL) {
4561: PetscCall(MatCholeskyFactor(S_CC, NULL, NULL));
4562: } else {
4563: PetscCall(MatLUFactor(S_CC, NULL, NULL, NULL));
4564: }
4565: PetscCall(MatSeqDenseInvertFactors_Private(S_CC));
4566: }
4567: /* Assemble local_auxmat1 = S_CC*C_{CB} needed by BDDC application in KSP and in preproc */
4568: PetscCall(MatMatMult(S_CC, C_B, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &pcbddc->local_auxmat1));
4569: PetscCall(MatDestroy(&C_B));
4570: PetscCall(MatSetValuesSubMat(*coarse_submat, S_CC, n_constraints, idx_C, n_constraints, idx_C, INSERT_VALUES));
4571: }
4573: /* Get submatrices from subdomain matrix */
4574: if (n_vertices) {
4575: #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA)
4576: PetscBool oldpin;
4577: #endif
4578: IS is_aux;
4580: if (sub_schurs && sub_schurs->reuse_solver) { /* is_R_local is not sorted, ISComplement doesn't like it */
4581: IS tis;
4583: PetscCall(ISDuplicate(pcbddc->is_R_local, &tis));
4584: PetscCall(ISSort(tis));
4585: PetscCall(ISComplement(tis, 0, pcis->n, &is_aux));
4586: PetscCall(ISDestroy(&tis));
4587: } else {
4588: PetscCall(ISComplement(pcbddc->is_R_local, 0, pcis->n, &is_aux));
4589: }
4590: #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA)
4591: oldpin = pcbddc->local_mat->boundtocpu;
4592: #endif
4593: PetscCall(MatBindToCPU(pcbddc->local_mat, PETSC_TRUE));
4594: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, pcbddc->is_R_local, is_aux, MAT_INITIAL_MATRIX, &A_RV));
4595: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, is_aux, pcbddc->is_R_local, MAT_INITIAL_MATRIX, &A_VR));
4596: /* TODO REMOVE: MatMatMult(A_VR,A_RRmA_RV) below may raise an error */
4597: PetscCall(MatConvert(A_VR, MATSEQAIJ, MAT_INPLACE_MATRIX, &A_VR));
4598: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, is_aux, is_aux, MAT_INITIAL_MATRIX, &A_VV));
4599: #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA)
4600: PetscCall(MatBindToCPU(pcbddc->local_mat, oldpin));
4601: #endif
4602: PetscCall(ISDestroy(&is_aux));
4603: }
4604: PetscCall(ISDestroy(&is_C_perm));
4605: PetscCall(PetscFree(C_bss));
4607: p0_lidx_I = NULL;
4608: if (pcbddc->benign_n && (pcbddc->switch_static || pcbddc->dbg_flag)) {
4609: const PetscInt *idxs;
4611: PetscCall(ISGetIndices(pcis->is_I_local, &idxs));
4612: PetscCall(PetscMalloc1(pcbddc->benign_n, &p0_lidx_I));
4613: 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]));
4614: PetscCall(ISRestoreIndices(pcis->is_I_local, &idxs));
4615: }
4617: /* We are now ready to evaluate coarse basis functions and subdomain contribution to coarse problem */
4619: /* Matrices of coarse basis functions (local) */
4620: PetscCall(MatDestroy(&pcbddc->coarse_phi_B));
4621: PetscCall(MatDestroy(&pcbddc->coarse_psi_B));
4622: PetscCall(MatDestroy(&pcbddc->coarse_phi_D));
4623: PetscCall(MatDestroy(&pcbddc->coarse_psi_D));
4624: if (!multi_element) {
4625: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, pcbddc->local_primal_size, NULL, &pcbddc->coarse_phi_B));
4626: if (pcbddc->switch_static || pcbddc->dbg_flag) PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_D, pcbddc->local_primal_size, NULL, &pcbddc->coarse_phi_D));
4627: coarse_phi_multi = NULL;
4628: } else { /* Create temporary NEST matrix to hold coarse basis functions blocks */
4629: IS is_rows[2] = {pcbddc->is_R_local, NULL};
4630: IS is_cols[2] = {is_V, is_C};
4632: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, n_vertices, pcbddc->local_primal_ref_node, PETSC_USE_POINTER, &is_rows[1]));
4633: PetscCall(MatCreateNest(PETSC_COMM_SELF, 2, is_rows, 2, is_cols, NULL, &coarse_phi_multi));
4634: PetscCall(ISDestroy(&is_rows[1]));
4635: }
4637: /* vertices */
4638: if (n_vertices) {
4639: PetscBool restoreavr = PETSC_FALSE;
4640: Mat A_RRmA_RV = NULL;
4642: PetscCall(MatSetValuesSubMat(*coarse_submat, A_VV, n_vertices, idx_V, n_vertices, idx_V, ADD_VALUES));
4643: PetscCall(MatDestroy(&A_VV));
4645: if (n_R) {
4646: Mat A_RV_bcorr = NULL, S_VV;
4648: PetscCall(MatScale(A_RV, m_one));
4649: if (need_benign_correction) {
4650: ISLocalToGlobalMapping RtoN;
4651: IS is_p0;
4652: PetscInt *idxs_p0, n;
4654: PetscCall(PetscMalloc1(pcbddc->benign_n, &idxs_p0));
4655: PetscCall(ISLocalToGlobalMappingCreateIS(pcbddc->is_R_local, &RtoN));
4656: PetscCall(ISGlobalToLocalMappingApply(RtoN, IS_GTOLM_DROP, pcbddc->benign_n, pcbddc->benign_p0_lidx, &n, idxs_p0));
4657: 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);
4658: PetscCall(ISLocalToGlobalMappingDestroy(&RtoN));
4659: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, n, idxs_p0, PETSC_OWN_POINTER, &is_p0));
4660: PetscCall(MatCreateSubMatrix(A_RV, is_p0, NULL, MAT_INITIAL_MATRIX, &A_RV_bcorr));
4661: PetscCall(ISDestroy(&is_p0));
4662: }
4664: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_vertices, NULL, &A_RRmA_RV));
4665: if (!sparserhs || need_benign_correction) {
4666: if (lda_rhs == n_R && !multi_element) {
4667: PetscCall(MatConvert(A_RV, MATDENSE, MAT_INPLACE_MATRIX, &A_RV));
4668: } else {
4669: Mat T;
4670: PetscScalar *av, *array;
4671: const PetscInt *xadj, *adjncy;
4672: PetscInt n;
4673: PetscBool flg_row;
4675: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, lda_rhs, n_eff_vertices, NULL, &T));
4676: PetscCall(MatDenseGetArrayWrite(T, &array));
4677: PetscCall(MatConvert(A_RV, MATSEQAIJ, MAT_INPLACE_MATRIX, &A_RV));
4678: PetscCall(MatGetRowIJ(A_RV, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
4679: PetscCall(MatSeqAIJGetArray(A_RV, &av));
4680: for (i = 0; i < n; i++) {
4681: PetscInt j;
4682: 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];
4683: }
4684: PetscCall(MatRestoreRowIJ(A_RV, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
4685: PetscCall(MatDenseRestoreArrayWrite(T, &array));
4686: PetscCall(MatDestroy(&A_RV));
4687: A_RV = T;
4688: }
4689: if (need_benign_correction) {
4690: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4691: PetscScalar *marr;
4693: /* XXX multi_element */
4694: PetscCall(MatDenseGetArray(A_RV, &marr));
4695: /* need \Phi^T A_RV = (I+L)A_RV, L given by
4697: | 0 0 0 | (V)
4698: L = | 0 0 -1 | (P-p0)
4699: | 0 0 -1 | (p0)
4701: */
4702: for (i = 0; i < reuse_solver->benign_n; i++) {
4703: const PetscScalar *vals;
4704: const PetscInt *idxs, *idxs_zero;
4705: PetscInt n, j, nz;
4707: PetscCall(ISGetLocalSize(reuse_solver->benign_zerodiag_subs[i], &nz));
4708: PetscCall(ISGetIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4709: PetscCall(MatGetRow(A_RV_bcorr, i, &n, &idxs, &vals));
4710: for (j = 0; j < n; j++) {
4711: PetscScalar val = vals[j];
4712: PetscInt k, col = idxs[j];
4713: for (k = 0; k < nz; k++) marr[idxs_zero[k] + lda_rhs * col] -= val;
4714: }
4715: PetscCall(MatRestoreRow(A_RV_bcorr, i, &n, &idxs, &vals));
4716: PetscCall(ISRestoreIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4717: }
4718: PetscCall(MatDenseRestoreArray(A_RV, &marr));
4719: }
4720: PetscCall(PetscObjectReference((PetscObject)A_RV));
4721: Brhs = A_RV;
4722: } else {
4723: Mat tA_RVT, A_RVT;
4725: if (!pcbddc->symmetric_primal) {
4726: /* A_RV already scaled by -1 */
4727: PetscCall(MatTranspose(A_RV, MAT_INITIAL_MATRIX, &A_RVT));
4728: } else {
4729: restoreavr = PETSC_TRUE;
4730: PetscCall(MatScale(A_VR, -1.0));
4731: PetscCall(PetscObjectReference((PetscObject)A_VR));
4732: A_RVT = A_VR;
4733: }
4734: if (lda_rhs != n_R) {
4735: PetscScalar *aa;
4736: PetscInt r, *ii, *jj;
4737: PetscBool done;
4739: PetscCall(MatGetRowIJ(A_RVT, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4740: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "GetRowIJ failed");
4741: PetscCall(MatSeqAIJGetArray(A_RVT, &aa));
4742: PetscCall(MatCreateSeqAIJWithArrays(PETSC_COMM_SELF, n_vertices, lda_rhs, ii, jj, aa, &tA_RVT));
4743: PetscCall(MatRestoreRowIJ(A_RVT, 0, PETSC_FALSE, PETSC_FALSE, &r, (const PetscInt **)&ii, (const PetscInt **)&jj, &done));
4744: PetscCheck(done, PETSC_COMM_SELF, PETSC_ERR_PLIB, "RestoreRowIJ failed");
4745: } else {
4746: PetscCall(PetscObjectReference((PetscObject)A_RVT));
4747: tA_RVT = A_RVT;
4748: }
4749: PetscCall(MatCreateTranspose(tA_RVT, &Brhs));
4750: PetscCall(MatDestroy(&tA_RVT));
4751: PetscCall(MatDestroy(&A_RVT));
4752: }
4753: if (F) {
4754: /* need to correct the rhs */
4755: if (need_benign_correction) {
4756: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4757: PetscScalar *marr;
4759: PetscCall(MatDenseGetArray(Brhs, &marr));
4760: if (lda_rhs != n_R) {
4761: for (i = 0; i < n_eff_vertices; i++) {
4762: PetscCall(VecPlaceArray(dummy_vec, marr + i * lda_rhs));
4763: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, dummy_vec, NULL, PETSC_FALSE, PETSC_TRUE));
4764: PetscCall(VecResetArray(dummy_vec));
4765: }
4766: } else {
4767: for (i = 0; i < n_eff_vertices; i++) {
4768: PetscCall(VecPlaceArray(pcbddc->vec1_R, marr + i * lda_rhs));
4769: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, pcbddc->vec1_R, NULL, PETSC_FALSE, PETSC_TRUE));
4770: PetscCall(VecResetArray(pcbddc->vec1_R));
4771: }
4772: }
4773: PetscCall(MatDenseRestoreArray(Brhs, &marr));
4774: }
4775: PetscCall(MatMatSolve(F, Brhs, A_RRmA_RV));
4776: if (restoreavr) PetscCall(MatScale(A_VR, -1.0));
4777: /* need to correct the solution */
4778: if (need_benign_correction) {
4779: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4780: PetscScalar *marr;
4782: PetscCall(MatDenseGetArray(A_RRmA_RV, &marr));
4783: if (lda_rhs != n_R) {
4784: for (i = 0; i < n_eff_vertices; i++) {
4785: PetscCall(VecPlaceArray(dummy_vec, marr + i * lda_rhs));
4786: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, dummy_vec, NULL, PETSC_TRUE, PETSC_TRUE));
4787: PetscCall(VecResetArray(dummy_vec));
4788: }
4789: } else {
4790: for (i = 0; i < n_eff_vertices; i++) {
4791: PetscCall(VecPlaceArray(pcbddc->vec1_R, marr + i * lda_rhs));
4792: PetscCall(PCBDDCReuseSolversBenignAdapt(reuse_solver, pcbddc->vec1_R, NULL, PETSC_TRUE, PETSC_TRUE));
4793: PetscCall(VecResetArray(pcbddc->vec1_R));
4794: }
4795: }
4796: PetscCall(MatDenseRestoreArray(A_RRmA_RV, &marr));
4797: }
4798: } else {
4799: const PetscScalar *barr;
4800: PetscScalar *marr;
4802: PetscCall(MatDenseGetArrayRead(Brhs, &barr));
4803: PetscCall(MatDenseGetArray(A_RRmA_RV, &marr));
4804: for (i = 0; i < n_eff_vertices; i++) {
4805: PetscCall(VecPlaceArray(pcbddc->vec1_R, barr + i * lda_rhs));
4806: PetscCall(VecPlaceArray(pcbddc->vec2_R, marr + i * lda_rhs));
4807: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
4808: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
4809: PetscCall(VecResetArray(pcbddc->vec1_R));
4810: PetscCall(VecResetArray(pcbddc->vec2_R));
4811: }
4812: PetscCall(MatDenseRestoreArrayRead(Brhs, &barr));
4813: PetscCall(MatDenseRestoreArray(A_RRmA_RV, &marr));
4814: }
4815: PetscCall(MatDestroy(&A_RV));
4816: PetscCall(MatDestroy(&Brhs));
4817: /* S_VV and S_CV */
4818: if (n_constraints) {
4819: Mat B;
4821: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, n_eff_vertices, NULL, &B));
4822: PetscCall(MatDenseScatter(A_RRmA_RV, pcbddc->R_to_B, B));
4824: /* S_CV = pcbddc->local_auxmat1 * B */
4825: if (multi_element) {
4826: Mat T;
4828: PetscCall(MatCreateSeqAIJFromDenseExpand(B, n_vertices, B_eff_V_J, &T));
4829: PetscCall(MatDestroy(&B));
4830: B = T;
4831: }
4832: PetscCall(MatProductCreate(pcbddc->local_auxmat1, B, NULL, &S_CV));
4833: PetscCall(MatProductSetType(S_CV, MATPRODUCT_AB));
4834: PetscCall(MatProductSetFromOptions(S_CV));
4835: PetscCall(MatProductSymbolic(S_CV));
4836: PetscCall(MatProductNumeric(S_CV));
4837: PetscCall(MatProductClear(S_CV));
4838: PetscCall(MatDestroy(&B));
4840: /* B = local_auxmat2_R * S_CV */
4841: PetscCall(MatProductCreate(local_auxmat2_R, S_CV, NULL, &B));
4842: PetscCall(MatProductSetType(B, MATPRODUCT_AB));
4843: PetscCall(MatProductSetFromOptions(B));
4844: PetscCall(MatProductSymbolic(B));
4845: PetscCall(MatProductNumeric(B));
4847: PetscCall(MatScale(S_CV, m_one));
4848: PetscCall(MatSetValuesSubMat(*coarse_submat, S_CV, n_constraints, idx_C, n_vertices, idx_V, INSERT_VALUES));
4850: if (multi_element) {
4851: Mat T;
4853: PetscCall(MatCreateSeqAIJFromDenseExpand(A_RRmA_RV, n_vertices, R_eff_V_J, &T));
4854: PetscCall(MatDestroy(&A_RRmA_RV));
4855: A_RRmA_RV = T;
4856: }
4857: PetscCall(MatAXPY(A_RRmA_RV, 1.0, B, UNKNOWN_NONZERO_PATTERN)); /* XXX ? */
4858: PetscCall(MatDestroy(&B));
4859: } else if (multi_element) {
4860: Mat T;
4862: PetscCall(MatCreateSeqAIJFromDenseExpand(A_RRmA_RV, n_vertices, R_eff_V_J, &T));
4863: PetscCall(MatDestroy(&A_RRmA_RV));
4864: A_RRmA_RV = T;
4865: }
4867: if (lda_rhs != n_R) {
4868: Mat T;
4870: PetscCall(MatCreateSubMatrix(A_RRmA_RV, is_R, NULL, MAT_INITIAL_MATRIX, &T));
4871: PetscCall(MatDestroy(&A_RRmA_RV));
4872: A_RRmA_RV = T;
4873: }
4875: /* need A_VR * \Phi * A_RRmA_RV = A_VR * (I+L)^T * A_RRmA_RV, L given as before */
4876: if (need_benign_correction) { /* XXX SPARSE */
4877: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
4878: PetscScalar *sums;
4879: const PetscScalar *marr;
4881: PetscCall(MatDenseGetArrayRead(A_RRmA_RV, &marr));
4882: PetscCall(PetscMalloc1(n_vertices, &sums));
4883: for (i = 0; i < reuse_solver->benign_n; i++) {
4884: const PetscScalar *vals;
4885: const PetscInt *idxs, *idxs_zero;
4886: PetscInt n, j, nz;
4888: PetscCall(ISGetLocalSize(reuse_solver->benign_zerodiag_subs[i], &nz));
4889: PetscCall(ISGetIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4890: for (j = 0; j < n_vertices; j++) {
4891: sums[j] = 0.;
4892: for (PetscInt k = 0; k < nz; k++) sums[j] += marr[idxs_zero[k] + j * n_R];
4893: }
4894: PetscCall(MatGetRow(A_RV_bcorr, i, &n, &idxs, &vals));
4895: for (j = 0; j < n; j++) {
4896: PetscScalar val = vals[j];
4897: for (PetscInt k = 0; k < n_vertices; k++) PetscCall(MatSetValue(*coarse_submat, idx_V[idxs[j]], idx_V[k], val * sums[k], ADD_VALUES));
4898: }
4899: PetscCall(MatRestoreRow(A_RV_bcorr, i, &n, &idxs, &vals));
4900: PetscCall(ISRestoreIndices(reuse_solver->benign_zerodiag_subs[i], &idxs_zero));
4901: }
4902: PetscCall(PetscFree(sums));
4903: PetscCall(MatDestroy(&A_RV_bcorr));
4904: PetscCall(MatDenseRestoreArrayRead(A_RRmA_RV, &marr));
4905: }
4907: PetscCall(MatMatMult(A_VR, A_RRmA_RV, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &S_VV));
4908: PetscCall(MatSetValuesSubMat(*coarse_submat, S_VV, n_vertices, idx_V, n_vertices, idx_V, ADD_VALUES));
4909: PetscCall(MatDestroy(&S_VV));
4910: }
4912: /* coarse basis functions */
4913: if (coarse_phi_multi) {
4914: Mat Vid;
4916: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, n_vertices, n_vertices, 1, NULL, &Vid));
4917: PetscCall(MatShift_Basic(Vid, 1.0));
4918: PetscCall(MatNestSetSubMat(coarse_phi_multi, 0, 0, A_RRmA_RV));
4919: PetscCall(MatNestSetSubMat(coarse_phi_multi, 1, 0, Vid));
4920: PetscCall(MatDestroy(&Vid));
4921: } else {
4922: if (A_RRmA_RV) {
4923: PetscCall(MatDenseScatter(A_RRmA_RV, pcbddc->R_to_B, pcbddc->coarse_phi_B));
4924: if (pcbddc->switch_static || pcbddc->dbg_flag) {
4925: PetscCall(MatDenseScatter(A_RRmA_RV, pcbddc->R_to_D, pcbddc->coarse_phi_D));
4926: if (pcbddc->benign_n) {
4927: for (i = 0; i < n_vertices; i++) { PetscCall(MatSetValues(pcbddc->coarse_phi_D, pcbddc->benign_n, p0_lidx_I, 1, &i, NULL, INSERT_VALUES)); }
4928: }
4929: }
4930: }
4931: for (i = 0; i < n_vertices; i++) PetscCall(MatSetValues(pcbddc->coarse_phi_B, 1, &idx_V_B[i], 1, &i, &one, INSERT_VALUES));
4932: PetscCall(MatAssemblyBegin(pcbddc->coarse_phi_B, MAT_FINAL_ASSEMBLY));
4933: PetscCall(MatAssemblyEnd(pcbddc->coarse_phi_B, MAT_FINAL_ASSEMBLY));
4934: }
4935: PetscCall(MatDestroy(&A_RRmA_RV));
4936: }
4937: PetscCall(MatDestroy(&A_RV));
4938: PetscCall(VecDestroy(&dummy_vec));
4940: if (n_constraints) {
4941: Mat B, B2;
4943: PetscCall(MatScale(S_CC, m_one));
4944: PetscCall(MatProductCreate(local_auxmat2_R, S_CC, NULL, &B));
4945: PetscCall(MatProductSetType(B, MATPRODUCT_AB));
4946: PetscCall(MatProductSetFromOptions(B));
4947: PetscCall(MatProductSymbolic(B));
4948: PetscCall(MatProductNumeric(B));
4950: if (n_vertices) {
4951: if (isCHOL || need_benign_correction) { /* if we can solve the interior problem with cholesky, we should also be fine with transposing here */
4952: PetscCall(MatTranspose(S_CV, MAT_INITIAL_MATRIX, &S_VC));
4953: } else {
4954: if (lda_rhs != n_R) {
4955: Mat tB;
4957: PetscCall(MatCreateSubMatrix(B, is_R, NULL, MAT_INITIAL_MATRIX, &tB));
4958: PetscCall(MatDestroy(&B));
4959: B = tB;
4960: }
4961: PetscCall(MatMatMult(A_VR, B, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &S_VC));
4962: }
4963: PetscCall(MatSetValuesSubMat(*coarse_submat, S_VC, n_vertices, idx_V, n_constraints, idx_C, INSERT_VALUES));
4964: }
4966: /* coarse basis functions */
4967: if (coarse_phi_multi) {
4968: PetscCall(MatNestSetSubMat(coarse_phi_multi, 0, 1, B));
4969: } else {
4970: PetscCall(MatDenseGetSubMatrix(pcbddc->coarse_phi_B, PETSC_DECIDE, PETSC_DECIDE, n_vertices, n_vertices + n_constraints, &B2));
4971: PetscCall(MatDenseScatter(B, pcbddc->R_to_B, B2));
4972: PetscCall(MatDenseRestoreSubMatrix(pcbddc->coarse_phi_B, &B2));
4973: if (pcbddc->switch_static || pcbddc->dbg_flag) {
4974: PetscCall(MatDenseGetSubMatrix(pcbddc->coarse_phi_D, PETSC_DECIDE, PETSC_DECIDE, n_vertices, n_vertices + n_constraints, &B2));
4975: PetscCall(MatDenseScatter(B, pcbddc->R_to_D, B2));
4976: if (pcbddc->benign_n) {
4977: for (i = 0; i < n_constraints; i++) { PetscCall(MatSetValues(B2, pcbddc->benign_n, p0_lidx_I, 1, &i, NULL, INSERT_VALUES)); }
4978: }
4979: PetscCall(MatDenseRestoreSubMatrix(pcbddc->coarse_phi_D, &B2));
4980: }
4981: }
4982: PetscCall(MatDestroy(&B));
4983: }
4985: /* assemble sparse coarse basis functions */
4986: if (coarse_phi_multi) {
4987: Mat T;
4989: PetscCall(MatConvert(coarse_phi_multi, MATSEQAIJ, MAT_INITIAL_MATRIX, &T));
4990: PetscCall(MatDestroy(&coarse_phi_multi));
4991: PetscCall(MatCreateSubMatrix(T, pcis->is_B_local, NULL, MAT_INITIAL_MATRIX, &pcbddc->coarse_phi_B));
4992: if (pcbddc->switch_static || pcbddc->dbg_flag) { PetscCall(MatCreateSubMatrix(T, pcis->is_I_local, NULL, MAT_INITIAL_MATRIX, &pcbddc->coarse_phi_D)); }
4993: PetscCall(MatDestroy(&T));
4994: }
4995: PetscCall(MatDestroy(&local_auxmat2_R));
4996: PetscCall(PetscFree(p0_lidx_I));
4998: /* coarse matrix entries relative to B_0 */
4999: if (pcbddc->benign_n) {
5000: Mat B0_B, B0_BPHI;
5001: IS is_dummy;
5002: const PetscScalar *data;
5003: PetscInt j;
5005: PetscCall(ISCreateStride(PETSC_COMM_SELF, pcbddc->benign_n, 0, 1, &is_dummy));
5006: PetscCall(MatCreateSubMatrix(pcbddc->benign_B0, is_dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &B0_B));
5007: PetscCall(ISDestroy(&is_dummy));
5008: PetscCall(MatMatMult(B0_B, pcbddc->coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &B0_BPHI));
5009: PetscCall(MatConvert(B0_BPHI, MATSEQDENSE, MAT_INPLACE_MATRIX, &B0_BPHI));
5010: PetscCall(MatDenseGetArrayRead(B0_BPHI, &data));
5011: for (j = 0; j < pcbddc->benign_n; j++) {
5012: PetscInt primal_idx = pcbddc->local_primal_size - pcbddc->benign_n + j;
5013: for (i = 0; i < pcbddc->local_primal_size; i++) {
5014: PetscCall(MatSetValue(*coarse_submat, primal_idx, i, data[i * pcbddc->benign_n + j], INSERT_VALUES));
5015: PetscCall(MatSetValue(*coarse_submat, i, primal_idx, data[i * pcbddc->benign_n + j], INSERT_VALUES));
5016: }
5017: }
5018: PetscCall(MatDenseRestoreArrayRead(B0_BPHI, &data));
5019: PetscCall(MatDestroy(&B0_B));
5020: PetscCall(MatDestroy(&B0_BPHI));
5021: }
5023: /* compute other basis functions for non-symmetric problems */
5024: if (!pcbddc->symmetric_primal) {
5025: Mat B_V = NULL, B_C = NULL;
5026: PetscScalar *marray, *work;
5028: /* TODO multi_element MatDenseScatter */
5029: if (n_constraints) {
5030: Mat S_CCT, C_CRT;
5032: PetscCall(MatScale(S_CC, m_one));
5033: PetscCall(MatTranspose(C_CR, MAT_INITIAL_MATRIX, &C_CRT));
5034: PetscCall(MatTranspose(S_CC, MAT_INITIAL_MATRIX, &S_CCT));
5035: PetscCall(MatMatMult(C_CRT, S_CCT, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &B_C));
5036: PetscCall(MatConvert(B_C, MATDENSE, MAT_INPLACE_MATRIX, &B_C));
5037: PetscCall(MatDestroy(&S_CCT));
5038: if (n_vertices) {
5039: Mat S_VCT;
5041: PetscCall(MatTranspose(S_VC, MAT_INITIAL_MATRIX, &S_VCT));
5042: PetscCall(MatMatMult(C_CRT, S_VCT, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &B_V));
5043: PetscCall(MatDestroy(&S_VCT));
5044: PetscCall(MatConvert(B_V, MATDENSE, MAT_INPLACE_MATRIX, &B_V));
5045: }
5046: PetscCall(MatDestroy(&C_CRT));
5047: } else {
5048: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_R, n_vertices, NULL, &B_V));
5049: }
5050: if (n_vertices && n_R) {
5051: PetscScalar *av, *marray;
5052: const PetscInt *xadj, *adjncy;
5053: PetscInt n;
5054: PetscBool flg_row;
5056: /* B_V = B_V - A_VR^T */
5057: PetscCall(MatConvert(A_VR, MATSEQAIJ, MAT_INPLACE_MATRIX, &A_VR));
5058: PetscCall(MatGetRowIJ(A_VR, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
5059: PetscCall(MatSeqAIJGetArray(A_VR, &av));
5060: PetscCall(MatDenseGetArray(B_V, &marray));
5061: for (i = 0; i < n; i++) {
5062: PetscInt j;
5063: for (j = xadj[i]; j < xadj[i + 1]; j++) marray[i * n_R + adjncy[j]] -= av[j];
5064: }
5065: PetscCall(MatDenseRestoreArray(B_V, &marray));
5066: PetscCall(MatRestoreRowIJ(A_VR, 0, PETSC_FALSE, PETSC_FALSE, &n, &xadj, &adjncy, &flg_row));
5067: PetscCall(MatDestroy(&A_VR));
5068: }
5070: /* currently there's no support for MatTransposeMatSolve(F,B,X) */
5071: PetscCall(PetscMalloc1(n_R * pcbddc->local_primal_size, &work));
5072: if (n_vertices) {
5073: PetscCall(MatDenseGetArray(B_V, &marray));
5074: for (i = 0; i < n_vertices; i++) {
5075: PetscCall(VecPlaceArray(pcbddc->vec1_R, marray + i * n_R));
5076: PetscCall(VecPlaceArray(pcbddc->vec2_R, work + i * n_R));
5077: PetscCall(KSPSolveTranspose(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
5078: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
5079: PetscCall(VecResetArray(pcbddc->vec1_R));
5080: PetscCall(VecResetArray(pcbddc->vec2_R));
5081: }
5082: PetscCall(MatDenseRestoreArray(B_V, &marray));
5083: }
5084: if (B_C) {
5085: PetscCall(MatDenseGetArray(B_C, &marray));
5086: for (i = n_vertices; i < n_constraints + n_vertices; i++) {
5087: PetscCall(VecPlaceArray(pcbddc->vec1_R, marray + (i - n_vertices) * n_R));
5088: PetscCall(VecPlaceArray(pcbddc->vec2_R, work + i * n_R));
5089: PetscCall(KSPSolveTranspose(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec2_R));
5090: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
5091: PetscCall(VecResetArray(pcbddc->vec1_R));
5092: PetscCall(VecResetArray(pcbddc->vec2_R));
5093: }
5094: PetscCall(MatDenseRestoreArray(B_C, &marray));
5095: }
5096: /* coarse basis functions */
5097: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_B, pcbddc->local_primal_size, NULL, &pcbddc->coarse_psi_B));
5098: if (pcbddc->switch_static || pcbddc->dbg_flag) PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, n_D, pcbddc->local_primal_size, NULL, &pcbddc->coarse_psi_D));
5099: for (i = 0; i < pcbddc->local_primal_size; i++) {
5100: Vec v;
5102: PetscCall(VecPlaceArray(pcbddc->vec1_R, work + i * n_R));
5103: PetscCall(MatDenseGetColumnVec(pcbddc->coarse_psi_B, i, &v));
5104: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5105: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5106: if (i < n_vertices) {
5107: PetscScalar one = 1.0;
5108: PetscCall(VecSetValues(v, 1, &idx_V_B[i], &one, INSERT_VALUES));
5109: PetscCall(VecAssemblyBegin(v));
5110: PetscCall(VecAssemblyEnd(v));
5111: }
5112: PetscCall(MatDenseRestoreColumnVec(pcbddc->coarse_psi_B, i, &v));
5114: if (pcbddc->switch_static || pcbddc->dbg_flag) {
5115: PetscCall(MatDenseGetColumnVec(pcbddc->coarse_psi_D, i, &v));
5116: PetscCall(VecScatterBegin(pcbddc->R_to_D, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5117: PetscCall(VecScatterEnd(pcbddc->R_to_D, pcbddc->vec1_R, v, INSERT_VALUES, SCATTER_FORWARD));
5118: PetscCall(MatDenseRestoreColumnVec(pcbddc->coarse_psi_D, i, &v));
5119: }
5120: PetscCall(VecResetArray(pcbddc->vec1_R));
5121: }
5122: PetscCall(MatDestroy(&B_V));
5123: PetscCall(MatDestroy(&B_C));
5124: PetscCall(PetscFree(work));
5125: } else {
5126: PetscCall(PetscObjectReference((PetscObject)pcbddc->coarse_phi_B));
5127: pcbddc->coarse_psi_B = pcbddc->coarse_phi_B;
5128: PetscCall(PetscObjectReference((PetscObject)pcbddc->coarse_phi_D));
5129: pcbddc->coarse_psi_D = pcbddc->coarse_phi_D;
5130: }
5131: PetscCall(MatAssemblyBegin(*coarse_submat, MAT_FINAL_ASSEMBLY));
5132: PetscCall(MatAssemblyEnd(*coarse_submat, MAT_FINAL_ASSEMBLY));
5134: /* free memory */
5135: PetscCall(PetscFree(V_to_eff_V));
5136: PetscCall(PetscFree(C_to_eff_C));
5137: PetscCall(PetscFree(R_eff_V_J));
5138: PetscCall(PetscFree(R_eff_C_J));
5139: PetscCall(PetscFree(B_eff_V_J));
5140: PetscCall(PetscFree(B_eff_C_J));
5141: PetscCall(ISDestroy(&is_R));
5142: PetscCall(ISRestoreIndices(is_V, &idx_V));
5143: PetscCall(ISRestoreIndices(is_C, &idx_C));
5144: PetscCall(ISDestroy(&is_V));
5145: PetscCall(ISDestroy(&is_C));
5146: PetscCall(PetscFree(idx_V_B));
5147: PetscCall(MatDestroy(&S_CV));
5148: PetscCall(MatDestroy(&S_VC));
5149: PetscCall(MatDestroy(&S_CC));
5150: if (n_vertices) PetscCall(MatDestroy(&A_VR));
5151: if (n_constraints) PetscCall(MatDestroy(&C_CR));
5152: PetscCall(PetscLogEventEnd(PC_BDDC_CorrectionSetUp[pcbddc->current_level], pc, 0, 0, 0));
5154: /* Checking coarse_sub_mat and coarse basis functions */
5155: /* Symmetric case : It should be \Phi^{(j)^T} A^{(j)} \Phi^{(j)}=coarse_sub_mat */
5156: /* Non-symmetric case : It should be \Psi^{(j)^T} A^{(j)} \Phi^{(j)}=coarse_sub_mat */
5157: if (pcbddc->dbg_flag) {
5158: Mat AUXMAT, TM1, TM2, TM3, TM4;
5159: Mat coarse_phi_D, coarse_phi_B;
5160: Mat coarse_psi_D, coarse_psi_B;
5161: Mat A_II, A_BB, A_IB, A_BI;
5162: Mat C_B, CPHI;
5163: IS is_dummy;
5164: Vec mones;
5165: MatType checkmattype = MATSEQAIJ;
5166: PetscReal real_value;
5168: if (pcbddc->benign_n && !pcbddc->benign_change_explicit) {
5169: Mat A;
5170: PetscCall(PCBDDCBenignProject(pc, NULL, NULL, &A));
5171: PetscCall(MatCreateSubMatrix(A, pcis->is_I_local, pcis->is_I_local, MAT_INITIAL_MATRIX, &A_II));
5172: PetscCall(MatCreateSubMatrix(A, pcis->is_I_local, pcis->is_B_local, MAT_INITIAL_MATRIX, &A_IB));
5173: PetscCall(MatCreateSubMatrix(A, pcis->is_B_local, pcis->is_I_local, MAT_INITIAL_MATRIX, &A_BI));
5174: PetscCall(MatCreateSubMatrix(A, pcis->is_B_local, pcis->is_B_local, MAT_INITIAL_MATRIX, &A_BB));
5175: PetscCall(MatDestroy(&A));
5176: } else {
5177: PetscCall(MatConvert(pcis->A_II, checkmattype, MAT_INITIAL_MATRIX, &A_II));
5178: PetscCall(MatConvert(pcis->A_IB, checkmattype, MAT_INITIAL_MATRIX, &A_IB));
5179: PetscCall(MatConvert(pcis->A_BI, checkmattype, MAT_INITIAL_MATRIX, &A_BI));
5180: PetscCall(MatConvert(pcis->A_BB, checkmattype, MAT_INITIAL_MATRIX, &A_BB));
5181: }
5182: PetscCall(MatConvert(pcbddc->coarse_phi_D, checkmattype, MAT_INITIAL_MATRIX, &coarse_phi_D));
5183: PetscCall(MatConvert(pcbddc->coarse_phi_B, checkmattype, MAT_INITIAL_MATRIX, &coarse_phi_B));
5184: if (!pcbddc->symmetric_primal) {
5185: PetscCall(MatConvert(pcbddc->coarse_psi_D, checkmattype, MAT_INITIAL_MATRIX, &coarse_psi_D));
5186: PetscCall(MatConvert(pcbddc->coarse_psi_B, checkmattype, MAT_INITIAL_MATRIX, &coarse_psi_B));
5187: }
5188: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
5189: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Check coarse sub mat computation (symmetric %d)\n", pcbddc->symmetric_primal));
5190: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5191: if (!pcbddc->symmetric_primal) {
5192: PetscCall(MatMatMult(A_II, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5193: PetscCall(MatTransposeMatMult(coarse_psi_D, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM1));
5194: PetscCall(MatDestroy(&AUXMAT));
5195: PetscCall(MatMatMult(A_BB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5196: PetscCall(MatTransposeMatMult(coarse_psi_B, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM2));
5197: PetscCall(MatDestroy(&AUXMAT));
5198: PetscCall(MatMatMult(A_IB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5199: PetscCall(MatTransposeMatMult(coarse_psi_D, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM3));
5200: PetscCall(MatDestroy(&AUXMAT));
5201: PetscCall(MatMatMult(A_BI, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5202: PetscCall(MatTransposeMatMult(coarse_psi_B, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM4));
5203: PetscCall(MatDestroy(&AUXMAT));
5204: } else {
5205: PetscCall(MatPtAP(A_II, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &TM1));
5206: PetscCall(MatPtAP(A_BB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &TM2));
5207: PetscCall(MatMatMult(A_IB, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5208: PetscCall(MatTransposeMatMult(coarse_phi_D, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM3));
5209: PetscCall(MatDestroy(&AUXMAT));
5210: PetscCall(MatMatMult(A_BI, coarse_phi_D, MAT_INITIAL_MATRIX, 1.0, &AUXMAT));
5211: PetscCall(MatTransposeMatMult(coarse_phi_B, AUXMAT, MAT_INITIAL_MATRIX, 1.0, &TM4));
5212: PetscCall(MatDestroy(&AUXMAT));
5213: }
5214: PetscCall(MatAXPY(TM1, one, TM2, DIFFERENT_NONZERO_PATTERN));
5215: PetscCall(MatAXPY(TM1, one, TM3, DIFFERENT_NONZERO_PATTERN));
5216: PetscCall(MatAXPY(TM1, one, TM4, DIFFERENT_NONZERO_PATTERN));
5217: PetscCall(MatConvert(TM1, MATSEQDENSE, MAT_INPLACE_MATRIX, &TM1));
5218: if (pcbddc->benign_n) {
5219: Mat B0_B, B0_BPHI;
5220: const PetscScalar *data2;
5221: PetscScalar *data;
5222: PetscInt j;
5224: PetscCall(ISCreateStride(PETSC_COMM_SELF, pcbddc->benign_n, 0, 1, &is_dummy));
5225: PetscCall(MatCreateSubMatrix(pcbddc->benign_B0, is_dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &B0_B));
5226: PetscCall(MatMatMult(B0_B, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &B0_BPHI));
5227: PetscCall(MatConvert(B0_BPHI, MATSEQDENSE, MAT_INPLACE_MATRIX, &B0_BPHI));
5228: PetscCall(MatDenseGetArray(TM1, &data));
5229: PetscCall(MatDenseGetArrayRead(B0_BPHI, &data2));
5230: for (j = 0; j < pcbddc->benign_n; j++) {
5231: PetscInt primal_idx = pcbddc->local_primal_size - pcbddc->benign_n + j;
5232: for (i = 0; i < pcbddc->local_primal_size; i++) {
5233: data[primal_idx * pcbddc->local_primal_size + i] += data2[i * pcbddc->benign_n + j];
5234: data[i * pcbddc->local_primal_size + primal_idx] += data2[i * pcbddc->benign_n + j];
5235: }
5236: }
5237: PetscCall(MatDenseRestoreArray(TM1, &data));
5238: PetscCall(MatDenseRestoreArrayRead(B0_BPHI, &data2));
5239: PetscCall(MatDestroy(&B0_B));
5240: PetscCall(ISDestroy(&is_dummy));
5241: PetscCall(MatDestroy(&B0_BPHI));
5242: }
5243: PetscCall(MatAXPY(TM1, m_one, *coarse_submat, DIFFERENT_NONZERO_PATTERN));
5244: PetscCall(MatNorm(TM1, NORM_FROBENIUS, &real_value));
5245: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
5246: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d matrix error % 1.14e\n", PetscGlobalRank, (double)real_value));
5248: /* check constraints */
5249: PetscCall(ISCreateStride(PETSC_COMM_SELF, pcbddc->local_primal_size - pcbddc->benign_n, 0, 1, &is_dummy));
5250: PetscCall(MatCreateSubMatrix(pcbddc->ConstraintMatrix, is_dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &C_B));
5251: if (!pcbddc->benign_n) { /* TODO: add benign case */
5252: PetscCall(MatMatMult(C_B, coarse_phi_B, MAT_INITIAL_MATRIX, 1.0, &CPHI));
5253: } else {
5254: PetscScalar *data;
5255: Mat tmat;
5256: PetscCall(MatDenseGetArray(pcbddc->coarse_phi_B, &data));
5257: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, pcis->n_B, pcbddc->local_primal_size - pcbddc->benign_n, data, &tmat));
5258: PetscCall(MatDenseRestoreArray(pcbddc->coarse_phi_B, &data));
5259: PetscCall(MatMatMult(C_B, tmat, MAT_INITIAL_MATRIX, 1.0, &CPHI));
5260: PetscCall(MatDestroy(&tmat));
5261: }
5262: PetscCall(MatCreateVecs(CPHI, &mones, NULL));
5263: PetscCall(VecSet(mones, -1.0));
5264: PetscCall(MatDiagonalSet(CPHI, mones, ADD_VALUES));
5265: PetscCall(MatNorm(CPHI, NORM_FROBENIUS, &real_value));
5266: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d phi constraints error % 1.14e\n", PetscGlobalRank, (double)real_value));
5267: if (!pcbddc->symmetric_primal) {
5268: PetscCall(MatMatMult(C_B, coarse_psi_B, MAT_REUSE_MATRIX, 1.0, &CPHI));
5269: PetscCall(VecSet(mones, -1.0));
5270: PetscCall(MatDiagonalSet(CPHI, mones, ADD_VALUES));
5271: PetscCall(MatNorm(CPHI, NORM_FROBENIUS, &real_value));
5272: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d psi constraints error % 1.14e\n", PetscGlobalRank, (double)real_value));
5273: }
5274: PetscCall(MatDestroy(&C_B));
5275: PetscCall(MatDestroy(&CPHI));
5276: PetscCall(ISDestroy(&is_dummy));
5277: PetscCall(VecDestroy(&mones));
5278: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5279: PetscCall(MatDestroy(&A_II));
5280: PetscCall(MatDestroy(&A_BB));
5281: PetscCall(MatDestroy(&A_IB));
5282: PetscCall(MatDestroy(&A_BI));
5283: PetscCall(MatDestroy(&TM1));
5284: PetscCall(MatDestroy(&TM2));
5285: PetscCall(MatDestroy(&TM3));
5286: PetscCall(MatDestroy(&TM4));
5287: PetscCall(MatDestroy(&coarse_phi_D));
5288: PetscCall(MatDestroy(&coarse_phi_B));
5289: if (!pcbddc->symmetric_primal) {
5290: PetscCall(MatDestroy(&coarse_psi_D));
5291: PetscCall(MatDestroy(&coarse_psi_B));
5292: }
5293: }
5295: #if 0
5296: {
5297: PetscViewer viewer;
5298: char filename[256];
5300: PetscCall(PetscSNPrintf(filename, PETSC_STATIC_ARRAY_LENGTH(filename), "details_local_coarse_mat%d_level%d.m",PetscGlobalRank,pcbddc->current_level));
5301: PetscCall(PetscViewerASCIIOpen(PETSC_COMM_SELF,filename,&viewer));
5302: PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
5303: PetscCall(PetscObjectSetName((PetscObject)*coarse_submat,"coarse submat"));
5304: PetscCall(MatView(*coarse_submat,viewer));
5305: if (pcbddc->coarse_phi_B) {
5306: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_phi_B,"phi_B"));
5307: PetscCall(MatView(pcbddc->coarse_phi_B,viewer));
5308: }
5309: if (pcbddc->coarse_phi_D) {
5310: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_phi_D,"phi_D"));
5311: PetscCall(MatView(pcbddc->coarse_phi_D,viewer));
5312: }
5313: if (pcbddc->coarse_psi_B) {
5314: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_psi_B,"psi_B"));
5315: PetscCall(MatView(pcbddc->coarse_psi_B,viewer));
5316: }
5317: if (pcbddc->coarse_psi_D) {
5318: PetscCall(PetscObjectSetName((PetscObject)pcbddc->coarse_psi_D,"psi_D"));
5319: PetscCall(MatView(pcbddc->coarse_psi_D,viewer));
5320: }
5321: PetscCall(PetscObjectSetName((PetscObject)pcbddc->local_mat,"A"));
5322: PetscCall(MatView(pcbddc->local_mat,viewer));
5323: PetscCall(PetscObjectSetName((PetscObject)pcbddc->ConstraintMatrix,"C"));
5324: PetscCall(MatView(pcbddc->ConstraintMatrix,viewer));
5325: PetscCall(PetscObjectSetName((PetscObject)pcis->is_I_local,"I"));
5326: PetscCall(ISView(pcis->is_I_local,viewer));
5327: PetscCall(PetscObjectSetName((PetscObject)pcis->is_B_local,"B"));
5328: PetscCall(ISView(pcis->is_B_local,viewer));
5329: PetscCall(PetscObjectSetName((PetscObject)pcbddc->is_R_local,"R"));
5330: PetscCall(ISView(pcbddc->is_R_local,viewer));
5331: PetscCall(PetscOptionsRestoreViewer(&viewer));
5332: }
5333: #endif
5335: /* device support */
5336: {
5337: PetscBool iscuda, iship, iskokkos;
5338: MatType mtype = NULL;
5340: PetscCall(PetscObjectTypeCompareAny((PetscObject)pcis->vec1_N, &iscuda, VECCUDA, VECMPICUDA, VECSEQCUDA, ""));
5341: PetscCall(PetscObjectTypeCompareAny((PetscObject)pcis->vec1_N, &iship, VECHIP, VECMPIHIP, VECSEQHIP, ""));
5342: PetscCall(PetscObjectTypeCompareAny((PetscObject)pcis->vec1_N, &iskokkos, VECKOKKOS, VECMPIKOKKOS, VECSEQKOKKOS, ""));
5343: if (iskokkos) {
5344: if (PetscDefined(HAVE_MACRO_KOKKOS_ENABLE_CUDA)) iscuda = PETSC_TRUE;
5345: else if (PetscDefined(HAVE_MACRO_KOKKOS_ENABLE_HIP)) iship = PETSC_TRUE;
5346: }
5347: if (iskokkos) mtype = multi_element ? MATSEQAIJKOKKOS : (iscuda ? MATSEQDENSECUDA : MATSEQDENSEHIP);
5348: else if (iship) mtype = multi_element ? MATSEQAIJHIPSPARSE : MATSEQDENSEHIP;
5349: else if (iscuda) mtype = multi_element ? MATSEQAIJCUSPARSE : MATSEQDENSECUDA;
5350: if (mtype) {
5351: if (pcbddc->local_auxmat1) PetscCall(MatConvert(pcbddc->local_auxmat1, mtype, MAT_INPLACE_MATRIX, &pcbddc->local_auxmat1));
5352: if (pcbddc->local_auxmat2) PetscCall(MatConvert(pcbddc->local_auxmat2, mtype, MAT_INPLACE_MATRIX, &pcbddc->local_auxmat2));
5353: if (pcbddc->coarse_phi_B) PetscCall(MatConvert(pcbddc->coarse_phi_B, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_phi_B));
5354: if (pcbddc->coarse_phi_D) PetscCall(MatConvert(pcbddc->coarse_phi_D, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_phi_D));
5355: if (pcbddc->coarse_psi_B) PetscCall(MatConvert(pcbddc->coarse_psi_B, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_psi_B));
5356: if (pcbddc->coarse_psi_D) PetscCall(MatConvert(pcbddc->coarse_psi_D, mtype, MAT_INPLACE_MATRIX, &pcbddc->coarse_psi_D));
5357: }
5358: }
5359: PetscFunctionReturn(PETSC_SUCCESS);
5360: }
5362: PetscErrorCode MatCreateSubMatrixUnsorted(Mat A, IS isrow, IS iscol, Mat *B)
5363: {
5364: Mat *work_mat;
5365: IS isrow_s, iscol_s;
5366: PetscBool rsorted, csorted;
5367: PetscInt rsize, *idxs_perm_r = NULL, csize, *idxs_perm_c = NULL;
5369: PetscFunctionBegin;
5370: PetscCall(ISSorted(isrow, &rsorted));
5371: PetscCall(ISSorted(iscol, &csorted));
5372: PetscCall(ISGetLocalSize(isrow, &rsize));
5373: PetscCall(ISGetLocalSize(iscol, &csize));
5375: if (!rsorted) {
5376: const PetscInt *idxs;
5377: PetscInt *idxs_sorted, i;
5379: PetscCall(PetscMalloc1(rsize, &idxs_perm_r));
5380: PetscCall(PetscMalloc1(rsize, &idxs_sorted));
5381: for (i = 0; i < rsize; i++) idxs_perm_r[i] = i;
5382: PetscCall(ISGetIndices(isrow, &idxs));
5383: PetscCall(PetscSortIntWithPermutation(rsize, idxs, idxs_perm_r));
5384: for (i = 0; i < rsize; i++) idxs_sorted[i] = idxs[idxs_perm_r[i]];
5385: PetscCall(ISRestoreIndices(isrow, &idxs));
5386: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, rsize, idxs_sorted, PETSC_OWN_POINTER, &isrow_s));
5387: } else {
5388: PetscCall(PetscObjectReference((PetscObject)isrow));
5389: isrow_s = isrow;
5390: }
5392: if (!csorted) {
5393: if (isrow == iscol) {
5394: PetscCall(PetscObjectReference((PetscObject)isrow_s));
5395: iscol_s = isrow_s;
5396: } else {
5397: const PetscInt *idxs;
5398: PetscInt *idxs_sorted, i;
5400: PetscCall(PetscMalloc1(csize, &idxs_perm_c));
5401: PetscCall(PetscMalloc1(csize, &idxs_sorted));
5402: for (i = 0; i < csize; i++) idxs_perm_c[i] = i;
5403: PetscCall(ISGetIndices(iscol, &idxs));
5404: PetscCall(PetscSortIntWithPermutation(csize, idxs, idxs_perm_c));
5405: for (i = 0; i < csize; i++) idxs_sorted[i] = idxs[idxs_perm_c[i]];
5406: PetscCall(ISRestoreIndices(iscol, &idxs));
5407: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, csize, idxs_sorted, PETSC_OWN_POINTER, &iscol_s));
5408: }
5409: } else {
5410: PetscCall(PetscObjectReference((PetscObject)iscol));
5411: iscol_s = iscol;
5412: }
5414: PetscCall(MatCreateSubMatrices(A, 1, &isrow_s, &iscol_s, MAT_INITIAL_MATRIX, &work_mat));
5416: if (!rsorted || !csorted) {
5417: Mat new_mat;
5418: IS is_perm_r, is_perm_c;
5420: if (!rsorted) {
5421: PetscInt *idxs_r, i;
5422: PetscCall(PetscMalloc1(rsize, &idxs_r));
5423: for (i = 0; i < rsize; i++) idxs_r[idxs_perm_r[i]] = i;
5424: PetscCall(PetscFree(idxs_perm_r));
5425: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, rsize, idxs_r, PETSC_OWN_POINTER, &is_perm_r));
5426: } else {
5427: PetscCall(ISCreateStride(PETSC_COMM_SELF, rsize, 0, 1, &is_perm_r));
5428: }
5429: PetscCall(ISSetPermutation(is_perm_r));
5431: if (!csorted) {
5432: if (isrow_s == iscol_s) {
5433: PetscCall(PetscObjectReference((PetscObject)is_perm_r));
5434: is_perm_c = is_perm_r;
5435: } else {
5436: PetscInt *idxs_c, i;
5437: PetscCheck(idxs_perm_c, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Permutation array not present");
5438: PetscCall(PetscMalloc1(csize, &idxs_c));
5439: for (i = 0; i < csize; i++) idxs_c[idxs_perm_c[i]] = i;
5440: PetscCall(PetscFree(idxs_perm_c));
5441: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, csize, idxs_c, PETSC_OWN_POINTER, &is_perm_c));
5442: }
5443: } else {
5444: PetscCall(ISCreateStride(PETSC_COMM_SELF, csize, 0, 1, &is_perm_c));
5445: }
5446: PetscCall(ISSetPermutation(is_perm_c));
5448: PetscCall(MatPermute(work_mat[0], is_perm_r, is_perm_c, &new_mat));
5449: PetscCall(MatDestroy(&work_mat[0]));
5450: work_mat[0] = new_mat;
5451: PetscCall(ISDestroy(&is_perm_r));
5452: PetscCall(ISDestroy(&is_perm_c));
5453: }
5455: PetscCall(PetscObjectReference((PetscObject)work_mat[0]));
5456: *B = work_mat[0];
5457: PetscCall(MatDestroyMatrices(1, &work_mat));
5458: PetscCall(ISDestroy(&isrow_s));
5459: PetscCall(ISDestroy(&iscol_s));
5460: PetscFunctionReturn(PETSC_SUCCESS);
5461: }
5463: PetscErrorCode PCBDDCComputeLocalMatrix(PC pc, Mat ChangeOfBasisMatrix)
5464: {
5465: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
5466: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
5467: Mat new_mat, lA;
5468: IS is_local, is_global;
5469: PetscInt local_size;
5470: PetscBool isseqaij, issym, isset;
5472: PetscFunctionBegin;
5473: PetscCall(MatDestroy(&pcbddc->local_mat));
5474: PetscCall(MatGetSize(matis->A, &local_size, NULL));
5475: if (pcbddc->mat_graph->multi_element) {
5476: Mat *mats, *bdiags;
5477: IS *gsubs;
5478: PetscInt nsubs = pcbddc->n_local_subs;
5480: PetscCall(PetscCalloc1(nsubs * nsubs, &mats));
5481: PetscCall(PetscMalloc1(nsubs, &gsubs));
5482: for (PetscInt i = 0; i < nsubs; i++) PetscCall(ISLocalToGlobalMappingApplyIS(matis->rmapping, pcbddc->local_subs[i], &gsubs[i]));
5483: PetscCall(MatCreateSubMatrices(ChangeOfBasisMatrix, nsubs, gsubs, gsubs, MAT_INITIAL_MATRIX, &bdiags));
5484: for (PetscInt i = 0; i < nsubs; i++) PetscCall(ISDestroy(&gsubs[i]));
5485: PetscCall(PetscFree(gsubs));
5487: for (PetscInt i = 0; i < nsubs; i++) mats[i * (1 + nsubs)] = bdiags[i];
5488: PetscCall(MatCreateNest(PETSC_COMM_SELF, nsubs, pcbddc->local_subs, nsubs, pcbddc->local_subs, mats, &new_mat));
5489: PetscCall(MatConvert(new_mat, MATSEQAIJ, MAT_INPLACE_MATRIX, &new_mat));
5490: PetscCall(MatDestroySubMatrices(nsubs, &bdiags));
5491: PetscCall(PetscFree(mats));
5492: } else {
5493: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)matis->A), local_size, 0, 1, &is_local));
5494: PetscCall(ISLocalToGlobalMappingApplyIS(matis->rmapping, is_local, &is_global));
5495: PetscCall(ISDestroy(&is_local));
5496: PetscCall(MatCreateSubMatrixUnsorted(ChangeOfBasisMatrix, is_global, is_global, &new_mat));
5497: PetscCall(ISDestroy(&is_global));
5498: }
5499: if (pcbddc->dbg_flag) {
5500: Vec x, x_change;
5501: PetscReal error;
5503: PetscCall(MatCreateVecs(ChangeOfBasisMatrix, &x, &x_change));
5504: PetscCall(VecSetRandom(x, NULL));
5505: PetscCall(MatMult(ChangeOfBasisMatrix, x, x_change));
5506: PetscCall(VecScatterBegin(matis->cctx, x, matis->x, INSERT_VALUES, SCATTER_FORWARD));
5507: PetscCall(VecScatterEnd(matis->cctx, x, matis->x, INSERT_VALUES, SCATTER_FORWARD));
5508: PetscCall(MatMult(new_mat, matis->x, matis->y));
5509: if (!pcbddc->change_interior) {
5510: const PetscScalar *x, *y, *v;
5511: PetscReal lerror = 0.;
5512: PetscInt i;
5514: PetscCall(VecGetArrayRead(matis->x, &x));
5515: PetscCall(VecGetArrayRead(matis->y, &y));
5516: PetscCall(VecGetArrayRead(matis->counter, &v));
5517: for (i = 0; i < local_size; i++)
5518: if (PetscRealPart(v[i]) < 1.5 && PetscAbsScalar(x[i] - y[i]) > lerror) lerror = PetscAbsScalar(x[i] - y[i]);
5519: PetscCall(VecRestoreArrayRead(matis->x, &x));
5520: PetscCall(VecRestoreArrayRead(matis->y, &y));
5521: PetscCall(VecRestoreArrayRead(matis->counter, &v));
5522: PetscCall(MPIU_Allreduce(&lerror, &error, 1, MPIU_REAL, MPIU_MAX, PetscObjectComm((PetscObject)pc)));
5523: if (error > PETSC_SMALL) {
5524: if (!pcbddc->user_ChangeOfBasisMatrix || pcbddc->current_level) {
5525: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "Error global vs local change on I: %1.6e", (double)error);
5526: } else {
5527: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_USER, "Error global vs local change on I: %1.6e", (double)error);
5528: }
5529: }
5530: }
5531: PetscCall(VecScatterBegin(matis->rctx, matis->y, x, INSERT_VALUES, SCATTER_REVERSE));
5532: PetscCall(VecScatterEnd(matis->rctx, matis->y, x, INSERT_VALUES, SCATTER_REVERSE));
5533: PetscCall(VecAXPY(x, -1.0, x_change));
5534: PetscCall(VecNorm(x, NORM_INFINITY, &error));
5535: if (error > PETSC_SMALL) {
5536: if (!pcbddc->user_ChangeOfBasisMatrix || pcbddc->current_level) {
5537: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "Error global vs local change on N: %1.6e", (double)error);
5538: } else {
5539: SETERRQ(PetscObjectComm((PetscObject)pc), PETSC_ERR_USER, "Error global vs local change on N: %1.6e", (double)error);
5540: }
5541: }
5542: PetscCall(VecDestroy(&x));
5543: PetscCall(VecDestroy(&x_change));
5544: }
5546: /* lA is present if we are setting up an inner BDDC for a saddle point FETI-DP */
5547: PetscCall(PetscObjectQuery((PetscObject)pc, "__KSPFETIDP_lA", (PetscObject *)&lA));
5549: /* TODO: HOW TO WORK WITH BAIJ and SBAIJ and SEQDENSE? */
5550: PetscCall(PetscObjectBaseTypeCompare((PetscObject)matis->A, MATSEQAIJ, &isseqaij));
5551: if (isseqaij) {
5552: PetscCall(MatDestroy(&pcbddc->local_mat));
5553: PetscCall(MatPtAP(matis->A, new_mat, MAT_INITIAL_MATRIX, 2.0, &pcbddc->local_mat));
5554: if (lA) {
5555: Mat work;
5556: PetscCall(MatPtAP(lA, new_mat, MAT_INITIAL_MATRIX, 2.0, &work));
5557: PetscCall(PetscObjectCompose((PetscObject)pc, "__KSPFETIDP_lA", (PetscObject)work));
5558: PetscCall(MatDestroy(&work));
5559: }
5560: } else {
5561: Mat work_mat;
5563: PetscCall(MatDestroy(&pcbddc->local_mat));
5564: PetscCall(MatConvert(matis->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &work_mat));
5565: PetscCall(MatPtAP(work_mat, new_mat, MAT_INITIAL_MATRIX, 2.0, &pcbddc->local_mat));
5566: PetscCall(MatDestroy(&work_mat));
5567: if (lA) {
5568: Mat work;
5569: PetscCall(MatConvert(lA, MATSEQAIJ, MAT_INITIAL_MATRIX, &work_mat));
5570: PetscCall(MatPtAP(work_mat, new_mat, MAT_INITIAL_MATRIX, 2.0, &work));
5571: PetscCall(PetscObjectCompose((PetscObject)pc, "__KSPFETIDP_lA", (PetscObject)work));
5572: PetscCall(MatDestroy(&work));
5573: }
5574: }
5575: PetscCall(MatIsSymmetricKnown(matis->A, &isset, &issym));
5576: if (isset) PetscCall(MatSetOption(pcbddc->local_mat, MAT_SYMMETRIC, issym));
5577: PetscCall(MatDestroy(&new_mat));
5578: PetscFunctionReturn(PETSC_SUCCESS);
5579: }
5581: PetscErrorCode PCBDDCSetUpLocalScatters(PC pc)
5582: {
5583: PC_IS *pcis = (PC_IS *)pc->data;
5584: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
5585: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
5586: PetscInt *idx_R_local = NULL;
5587: PetscInt n_vertices, i, j, n_R, n_D, n_B;
5588: PetscInt vbs, bs;
5589: PetscBT bitmask = NULL;
5591: PetscFunctionBegin;
5592: /*
5593: No need to setup local scatters if
5594: - primal space is unchanged
5595: AND
5596: - we actually have locally some primal dofs (could not be true in multilevel or for isolated subdomains)
5597: AND
5598: - we are not in debugging mode (this is needed since there are Synchronized prints at the end of the subroutine
5599: */
5600: if (!pcbddc->new_primal_space_local && pcbddc->local_primal_size && !pcbddc->dbg_flag) PetscFunctionReturn(PETSC_SUCCESS);
5601: /* destroy old objects */
5602: PetscCall(ISDestroy(&pcbddc->is_R_local));
5603: PetscCall(VecScatterDestroy(&pcbddc->R_to_B));
5604: PetscCall(VecScatterDestroy(&pcbddc->R_to_D));
5605: /* Set Non-overlapping dimensions */
5606: n_B = pcis->n_B;
5607: n_D = pcis->n - n_B;
5608: n_vertices = pcbddc->n_vertices;
5610: /* Dohrmann's notation: dofs split in R (Remaining: all dofs but the vertices) and V (Vertices) */
5612: /* create auxiliary bitmask and allocate workspace */
5613: if (!sub_schurs || !sub_schurs->reuse_solver) {
5614: PetscCall(PetscMalloc1(pcis->n - n_vertices, &idx_R_local));
5615: PetscCall(PetscBTCreate(pcis->n, &bitmask));
5616: for (i = 0; i < n_vertices; i++) PetscCall(PetscBTSet(bitmask, pcbddc->local_primal_ref_node[i]));
5618: for (i = 0, n_R = 0; i < pcis->n; i++) {
5619: if (!PetscBTLookup(bitmask, i)) idx_R_local[n_R++] = i;
5620: }
5621: } else { /* A different ordering (already computed) is present if we are reusing the Schur solver */
5622: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
5624: PetscCall(ISGetIndices(reuse_solver->is_R, (const PetscInt **)&idx_R_local));
5625: PetscCall(ISGetLocalSize(reuse_solver->is_R, &n_R));
5626: }
5628: /* Block code */
5629: vbs = 1;
5630: PetscCall(MatGetBlockSize(pcbddc->local_mat, &bs));
5631: if (bs > 1 && !(n_vertices % bs)) {
5632: PetscBool is_blocked = PETSC_TRUE;
5633: PetscInt *vary;
5634: if (!sub_schurs || !sub_schurs->reuse_solver) {
5635: PetscCall(PetscMalloc1(pcis->n / bs, &vary));
5636: PetscCall(PetscArrayzero(vary, pcis->n / bs));
5637: /* Verify that the vertex indices correspond to each element in a block (code taken from sbaij2.c) */
5638: /* 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 */
5639: for (i = 0; i < n_vertices; i++) vary[pcbddc->local_primal_ref_node[i] / bs]++;
5640: for (i = 0; i < pcis->n / bs; i++) {
5641: if (vary[i] != 0 && vary[i] != bs) {
5642: is_blocked = PETSC_FALSE;
5643: break;
5644: }
5645: }
5646: PetscCall(PetscFree(vary));
5647: } else {
5648: /* Verify directly the R set */
5649: for (i = 0; i < n_R / bs; i++) {
5650: PetscInt j, node = idx_R_local[bs * i];
5651: for (j = 1; j < bs; j++) {
5652: if (node != idx_R_local[bs * i + j] - j) {
5653: is_blocked = PETSC_FALSE;
5654: break;
5655: }
5656: }
5657: }
5658: }
5659: if (is_blocked) { /* build compressed IS for R nodes (complement of vertices) */
5660: vbs = bs;
5661: for (i = 0; i < n_R / vbs; i++) idx_R_local[i] = idx_R_local[vbs * i] / vbs;
5662: }
5663: }
5664: PetscCall(ISCreateBlock(PETSC_COMM_SELF, vbs, n_R / vbs, idx_R_local, PETSC_COPY_VALUES, &pcbddc->is_R_local));
5665: if (sub_schurs && sub_schurs->reuse_solver) {
5666: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
5668: PetscCall(ISRestoreIndices(reuse_solver->is_R, (const PetscInt **)&idx_R_local));
5669: PetscCall(ISDestroy(&reuse_solver->is_R));
5670: PetscCall(PetscObjectReference((PetscObject)pcbddc->is_R_local));
5671: reuse_solver->is_R = pcbddc->is_R_local;
5672: } else {
5673: PetscCall(PetscFree(idx_R_local));
5674: }
5676: /* print some info if requested */
5677: if (pcbddc->dbg_flag) {
5678: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
5679: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5680: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
5681: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d local dimensions\n", PetscGlobalRank));
5682: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "local_size = %" PetscInt_FMT ", dirichlet_size = %" PetscInt_FMT ", boundary_size = %" PetscInt_FMT "\n", pcis->n, n_D, n_B));
5683: 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,
5684: pcbddc->local_primal_size - n_vertices - pcbddc->benign_n, pcbddc->local_primal_size));
5685: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
5686: }
5688: /* VecScatters pcbddc->R_to_B and (optionally) pcbddc->R_to_D */
5689: if (!sub_schurs || !sub_schurs->reuse_solver) {
5690: IS is_aux1, is_aux2;
5691: PetscInt *aux_array1, *aux_array2, *is_indices, *idx_R_local;
5693: PetscCall(ISGetIndices(pcbddc->is_R_local, (const PetscInt **)&idx_R_local));
5694: PetscCall(PetscMalloc1(pcis->n_B - n_vertices, &aux_array1));
5695: PetscCall(PetscMalloc1(pcis->n_B - n_vertices, &aux_array2));
5696: PetscCall(ISGetIndices(pcis->is_I_local, (const PetscInt **)&is_indices));
5697: for (i = 0; i < n_D; i++) PetscCall(PetscBTSet(bitmask, is_indices[i]));
5698: PetscCall(ISRestoreIndices(pcis->is_I_local, (const PetscInt **)&is_indices));
5699: for (i = 0, j = 0; i < n_R; i++) {
5700: if (!PetscBTLookup(bitmask, idx_R_local[i])) aux_array1[j++] = i;
5701: }
5702: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, j, aux_array1, PETSC_OWN_POINTER, &is_aux1));
5703: PetscCall(ISGetIndices(pcis->is_B_local, (const PetscInt **)&is_indices));
5704: for (i = 0, j = 0; i < n_B; i++) {
5705: if (!PetscBTLookup(bitmask, is_indices[i])) aux_array2[j++] = i;
5706: }
5707: PetscCall(ISRestoreIndices(pcis->is_B_local, (const PetscInt **)&is_indices));
5708: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, j, aux_array2, PETSC_OWN_POINTER, &is_aux2));
5709: PetscCall(VecScatterCreate(pcbddc->vec1_R, is_aux1, pcis->vec1_B, is_aux2, &pcbddc->R_to_B));
5710: PetscCall(ISDestroy(&is_aux1));
5711: PetscCall(ISDestroy(&is_aux2));
5713: if (pcbddc->switch_static || pcbddc->dbg_flag) {
5714: PetscCall(PetscMalloc1(n_D, &aux_array1));
5715: for (i = 0, j = 0; i < n_R; i++) {
5716: if (PetscBTLookup(bitmask, idx_R_local[i])) aux_array1[j++] = i;
5717: }
5718: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, j, aux_array1, PETSC_OWN_POINTER, &is_aux1));
5719: PetscCall(VecScatterCreate(pcbddc->vec1_R, is_aux1, pcis->vec1_D, (IS)0, &pcbddc->R_to_D));
5720: PetscCall(ISDestroy(&is_aux1));
5721: }
5722: PetscCall(PetscBTDestroy(&bitmask));
5723: PetscCall(ISRestoreIndices(pcbddc->is_R_local, (const PetscInt **)&idx_R_local));
5724: } else {
5725: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
5726: IS tis;
5727: PetscInt schur_size;
5729: PetscCall(ISGetLocalSize(reuse_solver->is_B, &schur_size));
5730: PetscCall(ISCreateStride(PETSC_COMM_SELF, schur_size, n_D, 1, &tis));
5731: PetscCall(VecScatterCreate(pcbddc->vec1_R, tis, pcis->vec1_B, reuse_solver->is_B, &pcbddc->R_to_B));
5732: PetscCall(ISDestroy(&tis));
5733: if (pcbddc->switch_static || pcbddc->dbg_flag) {
5734: PetscCall(ISCreateStride(PETSC_COMM_SELF, n_D, 0, 1, &tis));
5735: PetscCall(VecScatterCreate(pcbddc->vec1_R, tis, pcis->vec1_D, (IS)0, &pcbddc->R_to_D));
5736: PetscCall(ISDestroy(&tis));
5737: }
5738: }
5739: PetscFunctionReturn(PETSC_SUCCESS);
5740: }
5742: static PetscErrorCode MatNullSpacePropagateAny_Private(Mat A, IS is, Mat B)
5743: {
5744: MatNullSpace NullSpace;
5745: Mat dmat;
5746: const Vec *nullvecs;
5747: Vec v, v2, *nullvecs2;
5748: VecScatter sct = NULL;
5749: PetscContainer c;
5750: PetscScalar *ddata;
5751: PetscInt k, nnsp_size, bsiz, bsiz2, n, N, bs;
5752: PetscBool nnsp_has_cnst;
5754: PetscFunctionBegin;
5755: if (!is && !B) { /* MATIS */
5756: Mat_IS *matis = (Mat_IS *)A->data;
5758: if (!B) PetscCall(MatISGetLocalMat(A, &B));
5759: sct = matis->cctx;
5760: PetscCall(PetscObjectReference((PetscObject)sct));
5761: } else {
5762: PetscCall(MatGetNullSpace(B, &NullSpace));
5763: if (!NullSpace) PetscCall(MatGetNearNullSpace(B, &NullSpace));
5764: if (NullSpace) PetscFunctionReturn(PETSC_SUCCESS);
5765: }
5766: PetscCall(MatGetNullSpace(A, &NullSpace));
5767: if (!NullSpace) PetscCall(MatGetNearNullSpace(A, &NullSpace));
5768: if (!NullSpace) PetscFunctionReturn(PETSC_SUCCESS);
5770: PetscCall(MatCreateVecs(A, &v, NULL));
5771: PetscCall(MatCreateVecs(B, &v2, NULL));
5772: if (!sct) PetscCall(VecScatterCreate(v, is, v2, NULL, &sct));
5773: PetscCall(MatNullSpaceGetVecs(NullSpace, &nnsp_has_cnst, &nnsp_size, (const Vec **)&nullvecs));
5774: bsiz = bsiz2 = nnsp_size + !!nnsp_has_cnst;
5775: PetscCall(PetscMalloc1(bsiz, &nullvecs2));
5776: PetscCall(VecGetBlockSize(v2, &bs));
5777: PetscCall(VecGetSize(v2, &N));
5778: PetscCall(VecGetLocalSize(v2, &n));
5779: PetscCall(PetscMalloc1(n * bsiz, &ddata));
5780: for (k = 0; k < nnsp_size; k++) {
5781: PetscCall(VecCreateMPIWithArray(PetscObjectComm((PetscObject)B), bs, n, N, ddata + n * k, &nullvecs2[k]));
5782: PetscCall(VecScatterBegin(sct, nullvecs[k], nullvecs2[k], INSERT_VALUES, SCATTER_FORWARD));
5783: PetscCall(VecScatterEnd(sct, nullvecs[k], nullvecs2[k], INSERT_VALUES, SCATTER_FORWARD));
5784: }
5785: if (nnsp_has_cnst) {
5786: PetscCall(VecCreateMPIWithArray(PetscObjectComm((PetscObject)B), bs, n, N, ddata + n * nnsp_size, &nullvecs2[nnsp_size]));
5787: PetscCall(VecSet(nullvecs2[nnsp_size], 1.0));
5788: }
5789: PetscCall(PCBDDCOrthonormalizeVecs(&bsiz2, nullvecs2));
5790: PetscCall(MatNullSpaceCreate(PetscObjectComm((PetscObject)B), PETSC_FALSE, bsiz2, nullvecs2, &NullSpace));
5792: PetscCall(MatCreateDense(PetscObjectComm((PetscObject)B), n, PETSC_DECIDE, N, bsiz2, ddata, &dmat));
5793: PetscCall(PetscContainerCreate(PetscObjectComm((PetscObject)B), &c));
5794: PetscCall(PetscContainerSetPointer(c, ddata));
5795: PetscCall(PetscContainerSetUserDestroy(c, PetscContainerUserDestroyDefault));
5796: PetscCall(PetscObjectCompose((PetscObject)dmat, "_PBDDC_Null_dmat_arr", (PetscObject)c));
5797: PetscCall(PetscContainerDestroy(&c));
5798: PetscCall(PetscObjectCompose((PetscObject)NullSpace, "_PBDDC_Null_dmat", (PetscObject)dmat));
5799: PetscCall(MatDestroy(&dmat));
5801: for (k = 0; k < bsiz; k++) PetscCall(VecDestroy(&nullvecs2[k]));
5802: PetscCall(PetscFree(nullvecs2));
5803: PetscCall(MatSetNearNullSpace(B, NullSpace));
5804: PetscCall(MatNullSpaceDestroy(&NullSpace));
5805: PetscCall(VecDestroy(&v));
5806: PetscCall(VecDestroy(&v2));
5807: PetscCall(VecScatterDestroy(&sct));
5808: PetscFunctionReturn(PETSC_SUCCESS);
5809: }
5811: PetscErrorCode PCBDDCSetUpLocalSolvers(PC pc, PetscBool dirichlet, PetscBool neumann)
5812: {
5813: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
5814: PC_IS *pcis = (PC_IS *)pc->data;
5815: PC pc_temp;
5816: Mat A_RR;
5817: MatNullSpace nnsp;
5818: MatReuse reuse;
5819: PetscScalar m_one = -1.0;
5820: PetscReal value;
5821: PetscInt n_D, n_R;
5822: PetscBool issbaij, opts, isset, issym;
5823: void (*f)(void) = NULL;
5824: char dir_prefix[256], neu_prefix[256], str_level[16];
5825: size_t len;
5827: PetscFunctionBegin;
5828: PetscCall(PetscLogEventBegin(PC_BDDC_LocalSolvers[pcbddc->current_level], pc, 0, 0, 0));
5829: /* approximate solver, propagate NearNullSpace if needed */
5830: if (!pc->setupcalled && (pcbddc->NullSpace_corr[0] || pcbddc->NullSpace_corr[2])) {
5831: MatNullSpace gnnsp1, gnnsp2;
5832: PetscBool lhas, ghas;
5834: PetscCall(MatGetNearNullSpace(pcbddc->local_mat, &nnsp));
5835: PetscCall(MatGetNearNullSpace(pc->pmat, &gnnsp1));
5836: PetscCall(MatGetNullSpace(pc->pmat, &gnnsp2));
5837: lhas = nnsp ? PETSC_TRUE : PETSC_FALSE;
5838: PetscCall(MPIU_Allreduce(&lhas, &ghas, 1, MPIU_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
5839: if (!ghas && (gnnsp1 || gnnsp2)) PetscCall(MatNullSpacePropagateAny_Private(pc->pmat, NULL, NULL));
5840: }
5842: /* compute prefixes */
5843: PetscCall(PetscStrncpy(dir_prefix, "", sizeof(dir_prefix)));
5844: PetscCall(PetscStrncpy(neu_prefix, "", sizeof(neu_prefix)));
5845: if (!pcbddc->current_level) {
5846: PetscCall(PetscStrncpy(dir_prefix, ((PetscObject)pc)->prefix, sizeof(dir_prefix)));
5847: PetscCall(PetscStrncpy(neu_prefix, ((PetscObject)pc)->prefix, sizeof(neu_prefix)));
5848: PetscCall(PetscStrlcat(dir_prefix, "pc_bddc_dirichlet_", sizeof(dir_prefix)));
5849: PetscCall(PetscStrlcat(neu_prefix, "pc_bddc_neumann_", sizeof(neu_prefix)));
5850: } else {
5851: PetscCall(PetscSNPrintf(str_level, sizeof(str_level), "l%d_", (int)pcbddc->current_level));
5852: PetscCall(PetscStrlen(((PetscObject)pc)->prefix, &len));
5853: len -= 15; /* remove "pc_bddc_coarse_" */
5854: if (pcbddc->current_level > 1) len -= 3; /* remove "lX_" with X level number */
5855: if (pcbddc->current_level > 10) len -= 1; /* remove another char from level number */
5856: /* Nonstandard use of PetscStrncpy() to only copy a portion of the input string */
5857: PetscCall(PetscStrncpy(dir_prefix, ((PetscObject)pc)->prefix, len + 1));
5858: PetscCall(PetscStrncpy(neu_prefix, ((PetscObject)pc)->prefix, len + 1));
5859: PetscCall(PetscStrlcat(dir_prefix, "pc_bddc_dirichlet_", sizeof(dir_prefix)));
5860: PetscCall(PetscStrlcat(neu_prefix, "pc_bddc_neumann_", sizeof(neu_prefix)));
5861: PetscCall(PetscStrlcat(dir_prefix, str_level, sizeof(dir_prefix)));
5862: PetscCall(PetscStrlcat(neu_prefix, str_level, sizeof(neu_prefix)));
5863: }
5865: /* DIRICHLET PROBLEM */
5866: if (dirichlet) {
5867: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
5868: if (pcbddc->benign_n && !pcbddc->benign_change_explicit) {
5869: PetscCheck(sub_schurs && sub_schurs->reuse_solver, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not yet implemented");
5870: if (pcbddc->dbg_flag) {
5871: Mat A_IIn;
5873: PetscCall(PCBDDCBenignProject(pc, pcis->is_I_local, pcis->is_I_local, &A_IIn));
5874: PetscCall(MatDestroy(&pcis->A_II));
5875: pcis->A_II = A_IIn;
5876: }
5877: }
5878: PetscCall(MatIsSymmetricKnown(pcbddc->local_mat, &isset, &issym));
5879: if (isset) PetscCall(MatSetOption(pcis->A_II, MAT_SYMMETRIC, issym));
5881: /* Matrix for Dirichlet problem is pcis->A_II */
5882: n_D = pcis->n - pcis->n_B;
5883: opts = PETSC_FALSE;
5884: if (!pcbddc->ksp_D) { /* create object if not yet build */
5885: opts = PETSC_TRUE;
5886: PetscCall(KSPCreate(PETSC_COMM_SELF, &pcbddc->ksp_D));
5887: PetscCall(KSPSetNestLevel(pcbddc->ksp_D, pc->kspnestlevel));
5888: PetscCall(PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_D, (PetscObject)pc, 1));
5889: /* default */
5890: PetscCall(KSPSetType(pcbddc->ksp_D, KSPPREONLY));
5891: PetscCall(KSPSetOptionsPrefix(pcbddc->ksp_D, dir_prefix));
5892: PetscCall(PetscObjectTypeCompare((PetscObject)pcis->pA_II, MATSEQSBAIJ, &issbaij));
5893: PetscCall(KSPGetPC(pcbddc->ksp_D, &pc_temp));
5894: if (issbaij) {
5895: PetscCall(PCSetType(pc_temp, PCCHOLESKY));
5896: } else {
5897: PetscCall(PCSetType(pc_temp, PCLU));
5898: }
5899: PetscCall(KSPSetErrorIfNotConverged(pcbddc->ksp_D, pc->erroriffailure));
5900: }
5901: PetscCall(MatSetOptionsPrefix(pcis->pA_II, ((PetscObject)pcbddc->ksp_D)->prefix));
5902: PetscCall(MatViewFromOptions(pcis->pA_II, NULL, "-mat_view"));
5903: PetscCall(KSPSetOperators(pcbddc->ksp_D, pcis->A_II, pcis->pA_II));
5904: /* Allow user's customization */
5905: if (opts) PetscCall(KSPSetFromOptions(pcbddc->ksp_D));
5906: PetscCall(MatGetNearNullSpace(pcis->pA_II, &nnsp));
5907: if (pcbddc->NullSpace_corr[0] && !nnsp) { /* approximate solver, propagate NearNullSpace */
5908: PetscCall(MatNullSpacePropagateAny_Private(pcbddc->local_mat, pcis->is_I_local, pcis->pA_II));
5909: }
5910: PetscCall(MatGetNearNullSpace(pcis->pA_II, &nnsp));
5911: PetscCall(KSPGetPC(pcbddc->ksp_D, &pc_temp));
5912: PetscCall(PetscObjectQueryFunction((PetscObject)pc_temp, "PCSetCoordinates_C", &f));
5913: if (f && pcbddc->mat_graph->cloc && !nnsp) {
5914: PetscReal *coords = pcbddc->mat_graph->coords, *scoords;
5915: const PetscInt *idxs;
5916: PetscInt cdim = pcbddc->mat_graph->cdim, nl, i, d;
5918: PetscCall(ISGetLocalSize(pcis->is_I_local, &nl));
5919: PetscCall(ISGetIndices(pcis->is_I_local, &idxs));
5920: PetscCall(PetscMalloc1(nl * cdim, &scoords));
5921: for (i = 0; i < nl; i++) {
5922: for (d = 0; d < cdim; d++) scoords[i * cdim + d] = coords[idxs[i] * cdim + d];
5923: }
5924: PetscCall(ISRestoreIndices(pcis->is_I_local, &idxs));
5925: PetscCall(PCSetCoordinates(pc_temp, cdim, nl, scoords));
5926: PetscCall(PetscFree(scoords));
5927: }
5928: if (sub_schurs && sub_schurs->reuse_solver) {
5929: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
5931: PetscCall(KSPSetPC(pcbddc->ksp_D, reuse_solver->interior_solver));
5932: }
5934: /* umfpack interface has a bug when matrix dimension is zero. TODO solve from umfpack interface */
5935: if (!n_D) {
5936: PetscCall(KSPGetPC(pcbddc->ksp_D, &pc_temp));
5937: PetscCall(PCSetType(pc_temp, PCNONE));
5938: }
5939: PetscCall(KSPSetUp(pcbddc->ksp_D));
5940: /* set ksp_D into pcis data */
5941: PetscCall(PetscObjectReference((PetscObject)pcbddc->ksp_D));
5942: PetscCall(KSPDestroy(&pcis->ksp_D));
5943: pcis->ksp_D = pcbddc->ksp_D;
5944: }
5946: /* NEUMANN PROBLEM */
5947: A_RR = NULL;
5948: if (neumann) {
5949: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
5950: PetscInt ibs, mbs;
5951: PetscBool issbaij, reuse_neumann_solver, isset, issym;
5952: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
5954: reuse_neumann_solver = PETSC_FALSE;
5955: if (sub_schurs && sub_schurs->reuse_solver) {
5956: IS iP;
5958: reuse_neumann_solver = PETSC_TRUE;
5959: PetscCall(PetscObjectQuery((PetscObject)sub_schurs->A, "__KSPFETIDP_iP", (PetscObject *)&iP));
5960: if (iP) reuse_neumann_solver = PETSC_FALSE;
5961: }
5962: /* Matrix for Neumann problem is A_RR -> we need to create/reuse it at this point */
5963: PetscCall(ISGetSize(pcbddc->is_R_local, &n_R));
5964: if (pcbddc->ksp_R) { /* already created ksp */
5965: PetscInt nn_R;
5966: PetscCall(KSPGetOperators(pcbddc->ksp_R, NULL, &A_RR));
5967: PetscCall(PetscObjectReference((PetscObject)A_RR));
5968: PetscCall(MatGetSize(A_RR, &nn_R, NULL));
5969: if (nn_R != n_R) { /* old ksp is not reusable, so reset it */
5970: PetscCall(KSPReset(pcbddc->ksp_R));
5971: PetscCall(MatDestroy(&A_RR));
5972: reuse = MAT_INITIAL_MATRIX;
5973: } else { /* same sizes, but nonzero pattern depend on primal vertices so it can be changed */
5974: if (pcbddc->new_primal_space_local) { /* we are not sure the matrix will have the same nonzero pattern */
5975: PetscCall(MatDestroy(&A_RR));
5976: reuse = MAT_INITIAL_MATRIX;
5977: } else { /* safe to reuse the matrix */
5978: reuse = MAT_REUSE_MATRIX;
5979: }
5980: }
5981: /* last check */
5982: if (pc->flag == DIFFERENT_NONZERO_PATTERN) {
5983: PetscCall(MatDestroy(&A_RR));
5984: reuse = MAT_INITIAL_MATRIX;
5985: }
5986: } else { /* first time, so we need to create the matrix */
5987: reuse = MAT_INITIAL_MATRIX;
5988: }
5989: /* convert pcbddc->local_mat if needed later in PCBDDCSetUpCorrection
5990: TODO: Get Rid of these conversions */
5991: PetscCall(MatGetBlockSize(pcbddc->local_mat, &mbs));
5992: PetscCall(ISGetBlockSize(pcbddc->is_R_local, &ibs));
5993: PetscCall(PetscObjectTypeCompare((PetscObject)pcbddc->local_mat, MATSEQSBAIJ, &issbaij));
5994: if (ibs != mbs) { /* need to convert to SEQAIJ to extract any submatrix with is_R_local */
5995: if (matis->A == pcbddc->local_mat) {
5996: PetscCall(MatDestroy(&pcbddc->local_mat));
5997: PetscCall(MatConvert(matis->A, MATSEQAIJ, MAT_INITIAL_MATRIX, &pcbddc->local_mat));
5998: } else {
5999: PetscCall(MatConvert(pcbddc->local_mat, MATSEQAIJ, MAT_INPLACE_MATRIX, &pcbddc->local_mat));
6000: }
6001: } else if (issbaij) { /* need to convert to BAIJ to get off-diagonal blocks */
6002: if (matis->A == pcbddc->local_mat) {
6003: PetscCall(MatDestroy(&pcbddc->local_mat));
6004: PetscCall(MatConvert(matis->A, mbs > 1 ? MATSEQBAIJ : MATSEQAIJ, MAT_INITIAL_MATRIX, &pcbddc->local_mat));
6005: } else {
6006: PetscCall(MatConvert(pcbddc->local_mat, mbs > 1 ? MATSEQBAIJ : MATSEQAIJ, MAT_INPLACE_MATRIX, &pcbddc->local_mat));
6007: }
6008: }
6009: /* extract A_RR */
6010: if (reuse_neumann_solver) {
6011: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6013: if (pcbddc->dbg_flag) { /* we need A_RR to test the solver later */
6014: PetscCall(MatDestroy(&A_RR));
6015: if (reuse_solver->benign_n) { /* we are not using the explicit change of basis on the pressures */
6016: PetscCall(PCBDDCBenignProject(pc, pcbddc->is_R_local, pcbddc->is_R_local, &A_RR));
6017: } else {
6018: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, pcbddc->is_R_local, pcbddc->is_R_local, MAT_INITIAL_MATRIX, &A_RR));
6019: }
6020: } else {
6021: PetscCall(MatDestroy(&A_RR));
6022: PetscCall(PCGetOperators(reuse_solver->correction_solver, &A_RR, NULL));
6023: PetscCall(PetscObjectReference((PetscObject)A_RR));
6024: }
6025: } else { /* we have to build the neumann solver, so we need to extract the relevant matrix */
6026: PetscCall(MatCreateSubMatrix(pcbddc->local_mat, pcbddc->is_R_local, pcbddc->is_R_local, reuse, &A_RR));
6027: }
6028: PetscCall(MatIsSymmetricKnown(pcbddc->local_mat, &isset, &issym));
6029: if (isset) PetscCall(MatSetOption(A_RR, MAT_SYMMETRIC, issym));
6030: opts = PETSC_FALSE;
6031: if (!pcbddc->ksp_R) { /* create object if not present */
6032: opts = PETSC_TRUE;
6033: PetscCall(KSPCreate(PETSC_COMM_SELF, &pcbddc->ksp_R));
6034: PetscCall(KSPSetNestLevel(pcbddc->ksp_R, pc->kspnestlevel));
6035: PetscCall(PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_R, (PetscObject)pc, 1));
6036: /* default */
6037: PetscCall(KSPSetType(pcbddc->ksp_R, KSPPREONLY));
6038: PetscCall(KSPSetOptionsPrefix(pcbddc->ksp_R, neu_prefix));
6039: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_temp));
6040: PetscCall(PetscObjectTypeCompare((PetscObject)A_RR, MATSEQSBAIJ, &issbaij));
6041: if (issbaij) {
6042: PetscCall(PCSetType(pc_temp, PCCHOLESKY));
6043: } else {
6044: PetscCall(PCSetType(pc_temp, PCLU));
6045: }
6046: PetscCall(KSPSetErrorIfNotConverged(pcbddc->ksp_R, pc->erroriffailure));
6047: }
6048: PetscCall(MatSetOptionsPrefix(A_RR, ((PetscObject)pcbddc->ksp_R)->prefix));
6049: PetscCall(MatViewFromOptions(A_RR, NULL, "-mat_view"));
6050: PetscCall(KSPSetOperators(pcbddc->ksp_R, A_RR, A_RR));
6051: if (opts) { /* Allow user's customization once */
6052: PetscCall(KSPSetFromOptions(pcbddc->ksp_R));
6053: }
6054: PetscCall(MatGetNearNullSpace(A_RR, &nnsp));
6055: if (pcbddc->NullSpace_corr[2] && !nnsp) { /* approximate solver, propagate NearNullSpace */
6056: PetscCall(MatNullSpacePropagateAny_Private(pcbddc->local_mat, pcbddc->is_R_local, A_RR));
6057: }
6058: PetscCall(MatGetNearNullSpace(A_RR, &nnsp));
6059: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_temp));
6060: PetscCall(PetscObjectQueryFunction((PetscObject)pc_temp, "PCSetCoordinates_C", &f));
6061: if (f && pcbddc->mat_graph->cloc && !nnsp) {
6062: PetscReal *coords = pcbddc->mat_graph->coords, *scoords;
6063: const PetscInt *idxs;
6064: PetscInt cdim = pcbddc->mat_graph->cdim, nl, i, d;
6066: PetscCall(ISGetLocalSize(pcbddc->is_R_local, &nl));
6067: PetscCall(ISGetIndices(pcbddc->is_R_local, &idxs));
6068: PetscCall(PetscMalloc1(nl * cdim, &scoords));
6069: for (i = 0; i < nl; i++) {
6070: for (d = 0; d < cdim; d++) scoords[i * cdim + d] = coords[idxs[i] * cdim + d];
6071: }
6072: PetscCall(ISRestoreIndices(pcbddc->is_R_local, &idxs));
6073: PetscCall(PCSetCoordinates(pc_temp, cdim, nl, scoords));
6074: PetscCall(PetscFree(scoords));
6075: }
6077: /* umfpack interface has a bug when matrix dimension is zero. TODO solve from umfpack interface */
6078: if (!n_R) {
6079: PetscCall(KSPGetPC(pcbddc->ksp_R, &pc_temp));
6080: PetscCall(PCSetType(pc_temp, PCNONE));
6081: }
6082: /* Reuse solver if it is present */
6083: if (reuse_neumann_solver) {
6084: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6086: PetscCall(KSPSetPC(pcbddc->ksp_R, reuse_solver->correction_solver));
6087: }
6088: PetscCall(KSPSetUp(pcbddc->ksp_R));
6089: }
6091: if (pcbddc->dbg_flag) {
6092: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6093: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
6094: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
6095: }
6096: PetscCall(PetscLogEventEnd(PC_BDDC_LocalSolvers[pcbddc->current_level], pc, 0, 0, 0));
6098: /* adapt Dirichlet and Neumann solvers if a nullspace correction has been requested */
6099: if (pcbddc->NullSpace_corr[0]) PetscCall(PCBDDCSetUseExactDirichlet(pc, PETSC_FALSE));
6100: if (dirichlet && pcbddc->NullSpace_corr[0] && !pcbddc->switch_static) PetscCall(PCBDDCNullSpaceAssembleCorrection(pc, PETSC_TRUE, pcbddc->NullSpace_corr[1]));
6101: if (neumann && pcbddc->NullSpace_corr[2]) PetscCall(PCBDDCNullSpaceAssembleCorrection(pc, PETSC_FALSE, pcbddc->NullSpace_corr[3]));
6102: /* check Dirichlet and Neumann solvers */
6103: if (pcbddc->dbg_flag) {
6104: if (dirichlet) { /* Dirichlet */
6105: PetscCall(VecSetRandom(pcis->vec1_D, NULL));
6106: PetscCall(MatMult(pcis->A_II, pcis->vec1_D, pcis->vec2_D));
6107: PetscCall(KSPSolve(pcbddc->ksp_D, pcis->vec2_D, pcis->vec2_D));
6108: PetscCall(KSPCheckSolve(pcbddc->ksp_D, pc, pcis->vec2_D));
6109: PetscCall(VecAXPY(pcis->vec1_D, m_one, pcis->vec2_D));
6110: PetscCall(VecNorm(pcis->vec1_D, NORM_INFINITY, &value));
6111: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d infinity error for Dirichlet solve (%s) = % 1.14e \n", PetscGlobalRank, ((PetscObject)pcbddc->ksp_D)->prefix, (double)value));
6112: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6113: }
6114: if (neumann) { /* Neumann */
6115: PetscCall(VecSetRandom(pcbddc->vec1_R, NULL));
6116: PetscCall(MatMult(A_RR, pcbddc->vec1_R, pcbddc->vec2_R));
6117: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec2_R, pcbddc->vec2_R));
6118: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec2_R));
6119: PetscCall(VecAXPY(pcbddc->vec1_R, m_one, pcbddc->vec2_R));
6120: PetscCall(VecNorm(pcbddc->vec1_R, NORM_INFINITY, &value));
6121: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d infinity error for Neumann solve (%s) = % 1.14e\n", PetscGlobalRank, ((PetscObject)pcbddc->ksp_R)->prefix, (double)value));
6122: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6123: }
6124: }
6125: /* free Neumann problem's matrix */
6126: PetscCall(MatDestroy(&A_RR));
6127: PetscFunctionReturn(PETSC_SUCCESS);
6128: }
6130: static PetscErrorCode PCBDDCSolveSubstructureCorrection(PC pc, Vec inout_B, Vec inout_D, PetscBool applytranspose)
6131: {
6132: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6133: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
6134: PetscBool reuse_solver = sub_schurs ? (sub_schurs->reuse_solver ? PETSC_TRUE : PETSC_FALSE) : PETSC_FALSE;
6136: PetscFunctionBegin;
6137: if (!reuse_solver) PetscCall(VecSet(pcbddc->vec1_R, 0.));
6138: if (!pcbddc->switch_static) {
6139: if (applytranspose && pcbddc->local_auxmat1) {
6140: PetscCall(MatMultTranspose(pcbddc->local_auxmat2, inout_B, pcbddc->vec1_C));
6141: PetscCall(MatMultTransposeAdd(pcbddc->local_auxmat1, pcbddc->vec1_C, inout_B, inout_B));
6142: }
6143: if (!reuse_solver) {
6144: PetscCall(VecScatterBegin(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6145: PetscCall(VecScatterEnd(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6146: } else {
6147: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6149: PetscCall(VecScatterBegin(reuse_solver->correction_scatter_B, inout_B, reuse_solver->rhs_B, INSERT_VALUES, SCATTER_FORWARD));
6150: PetscCall(VecScatterEnd(reuse_solver->correction_scatter_B, inout_B, reuse_solver->rhs_B, INSERT_VALUES, SCATTER_FORWARD));
6151: }
6152: } else {
6153: PetscCall(VecScatterBegin(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6154: PetscCall(VecScatterEnd(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6155: PetscCall(VecScatterBegin(pcbddc->R_to_D, inout_D, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6156: PetscCall(VecScatterEnd(pcbddc->R_to_D, inout_D, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6157: if (applytranspose && pcbddc->local_auxmat1) {
6158: PetscCall(MatMultTranspose(pcbddc->local_auxmat2, pcbddc->vec1_R, pcbddc->vec1_C));
6159: PetscCall(MatMultTransposeAdd(pcbddc->local_auxmat1, pcbddc->vec1_C, inout_B, inout_B));
6160: PetscCall(VecScatterBegin(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6161: PetscCall(VecScatterEnd(pcbddc->R_to_B, inout_B, pcbddc->vec1_R, INSERT_VALUES, SCATTER_REVERSE));
6162: }
6163: }
6164: PetscCall(PetscLogEventBegin(PC_BDDC_Solves[pcbddc->current_level][1], pc, 0, 0, 0));
6165: if (!reuse_solver || pcbddc->switch_static) {
6166: if (applytranspose) {
6167: PetscCall(KSPSolveTranspose(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec1_R));
6168: } else {
6169: PetscCall(KSPSolve(pcbddc->ksp_R, pcbddc->vec1_R, pcbddc->vec1_R));
6170: }
6171: PetscCall(KSPCheckSolve(pcbddc->ksp_R, pc, pcbddc->vec1_R));
6172: } else {
6173: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6175: if (applytranspose) {
6176: PetscCall(MatFactorSolveSchurComplementTranspose(reuse_solver->F, reuse_solver->rhs_B, reuse_solver->sol_B));
6177: } else {
6178: PetscCall(MatFactorSolveSchurComplement(reuse_solver->F, reuse_solver->rhs_B, reuse_solver->sol_B));
6179: }
6180: }
6181: PetscCall(PetscLogEventEnd(PC_BDDC_Solves[pcbddc->current_level][1], pc, 0, 0, 0));
6182: PetscCall(VecSet(inout_B, 0.));
6183: if (!pcbddc->switch_static) {
6184: if (!reuse_solver) {
6185: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6186: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6187: } else {
6188: PCBDDCReuseSolvers reuse_solver = sub_schurs->reuse_solver;
6190: PetscCall(VecScatterBegin(reuse_solver->correction_scatter_B, reuse_solver->sol_B, inout_B, INSERT_VALUES, SCATTER_REVERSE));
6191: PetscCall(VecScatterEnd(reuse_solver->correction_scatter_B, reuse_solver->sol_B, inout_B, INSERT_VALUES, SCATTER_REVERSE));
6192: }
6193: if (!applytranspose && pcbddc->local_auxmat1) {
6194: PetscCall(MatMult(pcbddc->local_auxmat1, inout_B, pcbddc->vec1_C));
6195: PetscCall(MatMultAdd(pcbddc->local_auxmat2, pcbddc->vec1_C, inout_B, inout_B));
6196: }
6197: } else {
6198: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6199: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6200: PetscCall(VecScatterBegin(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6201: PetscCall(VecScatterEnd(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6202: if (!applytranspose && pcbddc->local_auxmat1) {
6203: PetscCall(MatMult(pcbddc->local_auxmat1, inout_B, pcbddc->vec1_C));
6204: PetscCall(MatMultAdd(pcbddc->local_auxmat2, pcbddc->vec1_C, pcbddc->vec1_R, pcbddc->vec1_R));
6205: }
6206: PetscCall(VecScatterBegin(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6207: PetscCall(VecScatterEnd(pcbddc->R_to_B, pcbddc->vec1_R, inout_B, INSERT_VALUES, SCATTER_FORWARD));
6208: PetscCall(VecScatterBegin(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6209: PetscCall(VecScatterEnd(pcbddc->R_to_D, pcbddc->vec1_R, inout_D, INSERT_VALUES, SCATTER_FORWARD));
6210: }
6211: PetscFunctionReturn(PETSC_SUCCESS);
6212: }
6214: /* parameter apply transpose determines if the interface preconditioner should be applied transposed or not */
6215: PetscErrorCode PCBDDCApplyInterfacePreconditioner(PC pc, PetscBool applytranspose)
6216: {
6217: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6218: PC_IS *pcis = (PC_IS *)pc->data;
6219: const PetscScalar zero = 0.0;
6221: PetscFunctionBegin;
6222: /* Application of PSI^T or PHI^T (depending on applytranspose, see comment above) */
6223: if (!pcbddc->benign_apply_coarse_only) {
6224: if (applytranspose) {
6225: PetscCall(MatMultTranspose(pcbddc->coarse_phi_B, pcis->vec1_B, pcbddc->vec1_P));
6226: if (pcbddc->switch_static) PetscCall(MatMultTransposeAdd(pcbddc->coarse_phi_D, pcis->vec1_D, pcbddc->vec1_P, pcbddc->vec1_P));
6227: } else {
6228: PetscCall(MatMultTranspose(pcbddc->coarse_psi_B, pcis->vec1_B, pcbddc->vec1_P));
6229: if (pcbddc->switch_static) PetscCall(MatMultTransposeAdd(pcbddc->coarse_psi_D, pcis->vec1_D, pcbddc->vec1_P, pcbddc->vec1_P));
6230: }
6231: } else {
6232: PetscCall(VecSet(pcbddc->vec1_P, zero));
6233: }
6235: /* add p0 to the last value of vec1_P holding the coarse dof relative to p0 */
6236: if (pcbddc->benign_n) {
6237: PetscScalar *array;
6238: PetscInt j;
6240: PetscCall(VecGetArray(pcbddc->vec1_P, &array));
6241: for (j = 0; j < pcbddc->benign_n; j++) array[pcbddc->local_primal_size - pcbddc->benign_n + j] += pcbddc->benign_p0[j];
6242: PetscCall(VecRestoreArray(pcbddc->vec1_P, &array));
6243: }
6245: /* start communications from local primal nodes to rhs of coarse solver */
6246: PetscCall(VecSet(pcbddc->coarse_vec, zero));
6247: PetscCall(PCBDDCScatterCoarseDataBegin(pc, ADD_VALUES, SCATTER_FORWARD));
6248: PetscCall(PCBDDCScatterCoarseDataEnd(pc, ADD_VALUES, SCATTER_FORWARD));
6250: /* Coarse solution -> rhs and sol updated inside PCBDDCScattarCoarseDataBegin/End */
6251: PetscCall(PetscLogEventBegin(PC_BDDC_Solves[pcbddc->current_level][2], pc, 0, 0, 0));
6252: if (pcbddc->coarse_ksp) {
6253: Mat coarse_mat;
6254: Vec rhs, sol;
6255: MatNullSpace nullsp;
6256: PetscBool isbddc = PETSC_FALSE;
6258: if (pcbddc->benign_have_null) {
6259: PC coarse_pc;
6261: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
6262: PetscCall(PetscObjectTypeCompare((PetscObject)coarse_pc, PCBDDC, &isbddc));
6263: /* we need to propagate to coarser levels the need for a possible benign correction */
6264: if (isbddc && pcbddc->benign_apply_coarse_only && !pcbddc->benign_skip_correction) {
6265: PC_BDDC *coarsepcbddc = (PC_BDDC *)coarse_pc->data;
6266: coarsepcbddc->benign_skip_correction = PETSC_FALSE;
6267: coarsepcbddc->benign_apply_coarse_only = PETSC_TRUE;
6268: }
6269: }
6270: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &rhs));
6271: PetscCall(KSPGetSolution(pcbddc->coarse_ksp, &sol));
6272: PetscCall(KSPGetOperators(pcbddc->coarse_ksp, &coarse_mat, NULL));
6273: if (applytranspose) {
6274: PetscCheck(!pcbddc->benign_apply_coarse_only, PetscObjectComm((PetscObject)pcbddc->coarse_ksp), PETSC_ERR_SUP, "Not yet implemented");
6275: PetscCall(KSPSolveTranspose(pcbddc->coarse_ksp, rhs, sol));
6276: PetscCall(KSPCheckSolve(pcbddc->coarse_ksp, pc, sol));
6277: PetscCall(MatGetTransposeNullSpace(coarse_mat, &nullsp));
6278: if (nullsp) PetscCall(MatNullSpaceRemove(nullsp, sol));
6279: } else {
6280: PetscCall(MatGetNullSpace(coarse_mat, &nullsp));
6281: if (pcbddc->benign_apply_coarse_only && isbddc) { /* need just to apply the coarse preconditioner during presolve */
6282: PC coarse_pc;
6284: if (nullsp) PetscCall(MatNullSpaceRemove(nullsp, rhs));
6285: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
6286: PetscCall(PCPreSolve(coarse_pc, pcbddc->coarse_ksp));
6287: PetscCall(PCBDDCBenignRemoveInterior(coarse_pc, rhs, sol));
6288: PetscCall(PCPostSolve(coarse_pc, pcbddc->coarse_ksp));
6289: } else {
6290: PetscCall(KSPSolve(pcbddc->coarse_ksp, rhs, sol));
6291: PetscCall(KSPCheckSolve(pcbddc->coarse_ksp, pc, sol));
6292: if (nullsp) PetscCall(MatNullSpaceRemove(nullsp, sol));
6293: }
6294: }
6295: /* we don't need the benign correction at coarser levels anymore */
6296: if (pcbddc->benign_have_null && isbddc) {
6297: PC coarse_pc;
6298: PC_BDDC *coarsepcbddc;
6300: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
6301: coarsepcbddc = (PC_BDDC *)coarse_pc->data;
6302: coarsepcbddc->benign_skip_correction = PETSC_TRUE;
6303: coarsepcbddc->benign_apply_coarse_only = PETSC_FALSE;
6304: }
6305: }
6306: PetscCall(PetscLogEventEnd(PC_BDDC_Solves[pcbddc->current_level][2], pc, 0, 0, 0));
6308: /* Local solution on R nodes */
6309: if (!pcbddc->benign_apply_coarse_only) PetscCall(PCBDDCSolveSubstructureCorrection(pc, pcis->vec1_B, pcis->vec1_D, applytranspose));
6310: /* communications from coarse sol to local primal nodes */
6311: PetscCall(PCBDDCScatterCoarseDataBegin(pc, INSERT_VALUES, SCATTER_REVERSE));
6312: PetscCall(PCBDDCScatterCoarseDataEnd(pc, INSERT_VALUES, SCATTER_REVERSE));
6314: /* Sum contributions from the two levels */
6315: if (!pcbddc->benign_apply_coarse_only) {
6316: if (applytranspose) {
6317: PetscCall(MatMultAdd(pcbddc->coarse_psi_B, pcbddc->vec1_P, pcis->vec1_B, pcis->vec1_B));
6318: if (pcbddc->switch_static) PetscCall(MatMultAdd(pcbddc->coarse_psi_D, pcbddc->vec1_P, pcis->vec1_D, pcis->vec1_D));
6319: } else {
6320: PetscCall(MatMultAdd(pcbddc->coarse_phi_B, pcbddc->vec1_P, pcis->vec1_B, pcis->vec1_B));
6321: if (pcbddc->switch_static) PetscCall(MatMultAdd(pcbddc->coarse_phi_D, pcbddc->vec1_P, pcis->vec1_D, pcis->vec1_D));
6322: }
6323: /* store p0 */
6324: if (pcbddc->benign_n) {
6325: PetscScalar *array;
6326: PetscInt j;
6328: PetscCall(VecGetArray(pcbddc->vec1_P, &array));
6329: for (j = 0; j < pcbddc->benign_n; j++) pcbddc->benign_p0[j] = array[pcbddc->local_primal_size - pcbddc->benign_n + j];
6330: PetscCall(VecRestoreArray(pcbddc->vec1_P, &array));
6331: }
6332: } else { /* expand the coarse solution */
6333: if (applytranspose) {
6334: PetscCall(MatMult(pcbddc->coarse_psi_B, pcbddc->vec1_P, pcis->vec1_B));
6335: } else {
6336: PetscCall(MatMult(pcbddc->coarse_phi_B, pcbddc->vec1_P, pcis->vec1_B));
6337: }
6338: }
6339: PetscFunctionReturn(PETSC_SUCCESS);
6340: }
6342: PetscErrorCode PCBDDCScatterCoarseDataBegin(PC pc, InsertMode imode, ScatterMode smode)
6343: {
6344: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6345: Vec from, to;
6346: const PetscScalar *array;
6348: PetscFunctionBegin;
6349: if (smode == SCATTER_REVERSE) { /* from global to local -> get data from coarse solution */
6350: from = pcbddc->coarse_vec;
6351: to = pcbddc->vec1_P;
6352: if (pcbddc->coarse_ksp) { /* get array from coarse processes */
6353: Vec tvec;
6355: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &tvec));
6356: PetscCall(VecResetArray(tvec));
6357: PetscCall(KSPGetSolution(pcbddc->coarse_ksp, &tvec));
6358: PetscCall(VecGetArrayRead(tvec, &array));
6359: PetscCall(VecPlaceArray(from, array));
6360: PetscCall(VecRestoreArrayRead(tvec, &array));
6361: }
6362: } else { /* from local to global -> put data in coarse right-hand side */
6363: from = pcbddc->vec1_P;
6364: to = pcbddc->coarse_vec;
6365: }
6366: PetscCall(VecScatterBegin(pcbddc->coarse_loc_to_glob, from, to, imode, smode));
6367: PetscFunctionReturn(PETSC_SUCCESS);
6368: }
6370: PetscErrorCode PCBDDCScatterCoarseDataEnd(PC pc, InsertMode imode, ScatterMode smode)
6371: {
6372: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6373: Vec from, to;
6374: const PetscScalar *array;
6376: PetscFunctionBegin;
6377: if (smode == SCATTER_REVERSE) { /* from global to local -> get data from coarse solution */
6378: from = pcbddc->coarse_vec;
6379: to = pcbddc->vec1_P;
6380: } else { /* from local to global -> put data in coarse right-hand side */
6381: from = pcbddc->vec1_P;
6382: to = pcbddc->coarse_vec;
6383: }
6384: PetscCall(VecScatterEnd(pcbddc->coarse_loc_to_glob, from, to, imode, smode));
6385: if (smode == SCATTER_FORWARD) {
6386: if (pcbddc->coarse_ksp) { /* get array from coarse processes */
6387: Vec tvec;
6389: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &tvec));
6390: PetscCall(VecGetArrayRead(to, &array));
6391: PetscCall(VecPlaceArray(tvec, array));
6392: PetscCall(VecRestoreArrayRead(to, &array));
6393: }
6394: } else {
6395: if (pcbddc->coarse_ksp) { /* restore array of pcbddc->coarse_vec */
6396: PetscCall(VecResetArray(from));
6397: }
6398: }
6399: PetscFunctionReturn(PETSC_SUCCESS);
6400: }
6402: PetscErrorCode PCBDDCConstraintsSetUp(PC pc)
6403: {
6404: PC_IS *pcis = (PC_IS *)pc->data;
6405: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
6406: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
6407: /* one and zero */
6408: PetscScalar one = 1.0, zero = 0.0;
6409: /* space to store constraints and their local indices */
6410: PetscScalar *constraints_data;
6411: PetscInt *constraints_idxs, *constraints_idxs_B;
6412: PetscInt *constraints_idxs_ptr, *constraints_data_ptr;
6413: PetscInt *constraints_n;
6414: /* iterators */
6415: PetscInt i, j, k, total_counts, total_counts_cc, cum;
6416: /* BLAS integers */
6417: PetscBLASInt lwork, lierr;
6418: PetscBLASInt Blas_N, Blas_M, Blas_K, Blas_one = 1;
6419: PetscBLASInt Blas_LDA, Blas_LDB, Blas_LDC;
6420: /* reuse */
6421: PetscInt olocal_primal_size, olocal_primal_size_cc;
6422: PetscInt *olocal_primal_ref_node, *olocal_primal_ref_mult;
6423: /* change of basis */
6424: PetscBool qr_needed;
6425: PetscBT change_basis, qr_needed_idx;
6426: /* auxiliary stuff */
6427: PetscInt *nnz, *is_indices;
6428: PetscInt ncc;
6429: /* some quantities */
6430: PetscInt n_vertices, total_primal_vertices, valid_constraints;
6431: PetscInt size_of_constraint, max_size_of_constraint = 0, max_constraints, temp_constraints;
6432: PetscReal tol; /* tolerance for retaining eigenmodes */
6434: PetscFunctionBegin;
6435: tol = PetscSqrtReal(PETSC_SMALL);
6436: /* Destroy Mat objects computed previously */
6437: PetscCall(MatDestroy(&pcbddc->ChangeOfBasisMatrix));
6438: PetscCall(MatDestroy(&pcbddc->ConstraintMatrix));
6439: PetscCall(MatDestroy(&pcbddc->switch_static_change));
6440: /* save info on constraints from previous setup (if any) */
6441: olocal_primal_size = pcbddc->local_primal_size;
6442: olocal_primal_size_cc = pcbddc->local_primal_size_cc;
6443: PetscCall(PetscMalloc2(olocal_primal_size_cc, &olocal_primal_ref_node, olocal_primal_size_cc, &olocal_primal_ref_mult));
6444: PetscCall(PetscArraycpy(olocal_primal_ref_node, pcbddc->local_primal_ref_node, olocal_primal_size_cc));
6445: PetscCall(PetscArraycpy(olocal_primal_ref_mult, pcbddc->local_primal_ref_mult, olocal_primal_size_cc));
6446: PetscCall(PetscFree2(pcbddc->local_primal_ref_node, pcbddc->local_primal_ref_mult));
6447: PetscCall(PetscFree(pcbddc->primal_indices_local_idxs));
6449: if (!pcbddc->adaptive_selection) {
6450: IS ISForVertices, *ISForFaces, *ISForEdges;
6451: MatNullSpace nearnullsp;
6452: const Vec *nearnullvecs;
6453: Vec *localnearnullsp;
6454: PetscScalar *array;
6455: PetscInt n_ISForFaces, n_ISForEdges, nnsp_size, o_nf, o_ne;
6456: PetscBool nnsp_has_cnst;
6457: /* LAPACK working arrays for SVD or POD */
6458: PetscBool skip_lapack, boolforchange;
6459: PetscScalar *work;
6460: PetscReal *singular_vals;
6461: #if defined(PETSC_USE_COMPLEX)
6462: PetscReal *rwork;
6463: #endif
6464: PetscScalar *temp_basis = NULL, *correlation_mat = NULL;
6465: PetscBLASInt dummy_int = 1;
6466: PetscScalar dummy_scalar = 1.;
6467: PetscBool use_pod = PETSC_FALSE;
6469: /* MKL SVD with same input gives different results on different processes! */
6470: #if defined(PETSC_MISSING_LAPACK_GESVD) || defined(PETSC_HAVE_MKL_LIBS)
6471: use_pod = PETSC_TRUE;
6472: #endif
6473: /* Get index sets for faces, edges and vertices from graph */
6474: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, &n_ISForFaces, &ISForFaces, &n_ISForEdges, &ISForEdges, &ISForVertices));
6475: o_nf = n_ISForFaces;
6476: o_ne = n_ISForEdges;
6477: n_vertices = 0;
6478: if (ISForVertices) PetscCall(ISGetSize(ISForVertices, &n_vertices));
6479: /* print some info */
6480: if (pcbddc->dbg_flag && (!pcbddc->sub_schurs || pcbddc->sub_schurs_rebuild)) {
6481: if (!pcbddc->dbg_viewer) pcbddc->dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pc));
6482: PetscCall(PCBDDCGraphASCIIView(pcbddc->mat_graph, pcbddc->dbg_flag, pcbddc->dbg_viewer));
6483: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
6484: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "--------------------------------------------------------------\n"));
6485: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate vertices (%d)\n", PetscGlobalRank, n_vertices, pcbddc->use_vertices));
6486: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate edges (%d)\n", PetscGlobalRank, n_ISForEdges, pcbddc->use_edges));
6487: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate faces (%d)\n", PetscGlobalRank, n_ISForFaces, pcbddc->use_faces));
6488: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
6489: PetscCall(PetscViewerASCIIPopSynchronized(pcbddc->dbg_viewer));
6490: }
6492: if (!pcbddc->use_vertices) n_vertices = 0;
6493: if (!pcbddc->use_edges) n_ISForEdges = 0;
6494: if (!pcbddc->use_faces) n_ISForFaces = 0;
6496: /* check if near null space is attached to global mat */
6497: if (pcbddc->use_nnsp) {
6498: PetscCall(MatGetNearNullSpace(pc->pmat, &nearnullsp));
6499: } else nearnullsp = NULL;
6501: if (nearnullsp) {
6502: PetscCall(MatNullSpaceGetVecs(nearnullsp, &nnsp_has_cnst, &nnsp_size, &nearnullvecs));
6503: /* remove any stored info */
6504: PetscCall(MatNullSpaceDestroy(&pcbddc->onearnullspace));
6505: PetscCall(PetscFree(pcbddc->onearnullvecs_state));
6506: /* store information for BDDC solver reuse */
6507: PetscCall(PetscObjectReference((PetscObject)nearnullsp));
6508: pcbddc->onearnullspace = nearnullsp;
6509: PetscCall(PetscMalloc1(nnsp_size, &pcbddc->onearnullvecs_state));
6510: for (i = 0; i < nnsp_size; i++) PetscCall(PetscObjectStateGet((PetscObject)nearnullvecs[i], &pcbddc->onearnullvecs_state[i]));
6511: } else { /* if near null space is not provided BDDC uses constants by default */
6512: nnsp_size = 0;
6513: nnsp_has_cnst = PETSC_TRUE;
6514: }
6515: /* get max number of constraints on a single cc */
6516: max_constraints = nnsp_size;
6517: if (nnsp_has_cnst) max_constraints++;
6519: /*
6520: Evaluate maximum storage size needed by the procedure
6521: - Indices for connected component i stored at "constraints_idxs + constraints_idxs_ptr[i]"
6522: - Values for constraints on connected component i stored at "constraints_data + constraints_data_ptr[i]"
6523: There can be multiple constraints per connected component
6524: */
6525: ncc = n_vertices + n_ISForFaces + n_ISForEdges;
6526: PetscCall(PetscMalloc3(ncc + 1, &constraints_idxs_ptr, ncc + 1, &constraints_data_ptr, ncc, &constraints_n));
6528: total_counts = n_ISForFaces + n_ISForEdges;
6529: total_counts *= max_constraints;
6530: total_counts += n_vertices;
6531: PetscCall(PetscBTCreate(total_counts, &change_basis));
6533: total_counts = 0;
6534: max_size_of_constraint = 0;
6535: for (i = 0; i < n_ISForEdges + n_ISForFaces; i++) {
6536: IS used_is;
6537: if (i < n_ISForEdges) {
6538: used_is = ISForEdges[i];
6539: } else {
6540: used_is = ISForFaces[i - n_ISForEdges];
6541: }
6542: PetscCall(ISGetSize(used_is, &j));
6543: total_counts += j;
6544: max_size_of_constraint = PetscMax(j, max_size_of_constraint);
6545: }
6546: PetscCall(PetscMalloc3(total_counts * max_constraints + n_vertices, &constraints_data, total_counts + n_vertices, &constraints_idxs, total_counts + n_vertices, &constraints_idxs_B));
6548: /* get local part of global near null space vectors */
6549: PetscCall(PetscMalloc1(nnsp_size, &localnearnullsp));
6550: for (k = 0; k < nnsp_size; k++) {
6551: PetscCall(VecDuplicate(pcis->vec1_N, &localnearnullsp[k]));
6552: PetscCall(VecScatterBegin(matis->rctx, nearnullvecs[k], localnearnullsp[k], INSERT_VALUES, SCATTER_FORWARD));
6553: PetscCall(VecScatterEnd(matis->rctx, nearnullvecs[k], localnearnullsp[k], INSERT_VALUES, SCATTER_FORWARD));
6554: }
6556: /* whether or not to skip lapack calls */
6557: skip_lapack = PETSC_TRUE;
6558: if (n_ISForFaces + n_ISForEdges && max_constraints > 1 && !pcbddc->use_nnsp_true) skip_lapack = PETSC_FALSE;
6560: /* First we issue queries to allocate optimal workspace for LAPACKgesvd (or LAPACKsyev if SVD is missing) */
6561: if (!skip_lapack) {
6562: PetscScalar temp_work;
6564: if (use_pod) {
6565: /* Proper Orthogonal Decomposition (POD) using the snapshot method */
6566: PetscCall(PetscMalloc1(max_constraints * max_constraints, &correlation_mat));
6567: PetscCall(PetscMalloc1(max_constraints, &singular_vals));
6568: PetscCall(PetscMalloc1(max_size_of_constraint * max_constraints, &temp_basis));
6569: #if defined(PETSC_USE_COMPLEX)
6570: PetscCall(PetscMalloc1(3 * max_constraints, &rwork));
6571: #endif
6572: /* now we evaluate the optimal workspace using query with lwork=-1 */
6573: PetscCall(PetscBLASIntCast(max_constraints, &Blas_N));
6574: PetscCall(PetscBLASIntCast(max_constraints, &Blas_LDA));
6575: lwork = -1;
6576: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6577: #if !defined(PETSC_USE_COMPLEX)
6578: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, &temp_work, &lwork, &lierr));
6579: #else
6580: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, &temp_work, &lwork, rwork, &lierr));
6581: #endif
6582: PetscCall(PetscFPTrapPop());
6583: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to SYEV Lapack routine %d", (int)lierr);
6584: } else {
6585: #if !defined(PETSC_MISSING_LAPACK_GESVD)
6586: /* SVD */
6587: PetscInt max_n, min_n;
6588: max_n = max_size_of_constraint;
6589: min_n = max_constraints;
6590: if (max_size_of_constraint < max_constraints) {
6591: min_n = max_size_of_constraint;
6592: max_n = max_constraints;
6593: }
6594: PetscCall(PetscMalloc1(min_n, &singular_vals));
6595: #if defined(PETSC_USE_COMPLEX)
6596: PetscCall(PetscMalloc1(5 * min_n, &rwork));
6597: #endif
6598: /* now we evaluate the optimal workspace using query with lwork=-1 */
6599: lwork = -1;
6600: PetscCall(PetscBLASIntCast(max_n, &Blas_M));
6601: PetscCall(PetscBLASIntCast(min_n, &Blas_N));
6602: PetscCall(PetscBLASIntCast(max_n, &Blas_LDA));
6603: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6604: #if !defined(PETSC_USE_COMPLEX)
6605: 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));
6606: #else
6607: 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));
6608: #endif
6609: PetscCall(PetscFPTrapPop());
6610: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to GESVD Lapack routine %d", (int)lierr);
6611: #else
6612: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_LIB, "This should not happen");
6613: #endif /* on missing GESVD */
6614: }
6615: /* Allocate optimal workspace */
6616: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(temp_work), &lwork));
6617: PetscCall(PetscMalloc1(lwork, &work));
6618: }
6619: /* Now we can loop on constraining sets */
6620: total_counts = 0;
6621: constraints_idxs_ptr[0] = 0;
6622: constraints_data_ptr[0] = 0;
6623: /* vertices */
6624: if (n_vertices) {
6625: PetscCall(ISGetIndices(ISForVertices, (const PetscInt **)&is_indices));
6626: PetscCall(PetscArraycpy(constraints_idxs, is_indices, n_vertices));
6627: for (i = 0; i < n_vertices; i++) {
6628: constraints_n[total_counts] = 1;
6629: constraints_data[total_counts] = 1.0;
6630: constraints_idxs_ptr[total_counts + 1] = constraints_idxs_ptr[total_counts] + 1;
6631: constraints_data_ptr[total_counts + 1] = constraints_data_ptr[total_counts] + 1;
6632: total_counts++;
6633: }
6634: PetscCall(ISRestoreIndices(ISForVertices, (const PetscInt **)&is_indices));
6635: }
6637: /* edges and faces */
6638: total_counts_cc = total_counts;
6639: for (ncc = 0; ncc < n_ISForEdges + n_ISForFaces; ncc++) {
6640: IS used_is;
6641: PetscBool idxs_copied = PETSC_FALSE;
6643: if (ncc < n_ISForEdges) {
6644: used_is = ISForEdges[ncc];
6645: boolforchange = pcbddc->use_change_of_basis; /* change or not the basis on the edge */
6646: } else {
6647: used_is = ISForFaces[ncc - n_ISForEdges];
6648: boolforchange = (PetscBool)(pcbddc->use_change_of_basis && pcbddc->use_change_on_faces); /* change or not the basis on the face */
6649: }
6650: temp_constraints = 0; /* zero the number of constraints I have on this conn comp */
6652: PetscCall(ISGetSize(used_is, &size_of_constraint));
6653: if (!size_of_constraint) continue;
6654: PetscCall(ISGetIndices(used_is, (const PetscInt **)&is_indices));
6655: if (nnsp_has_cnst) {
6656: PetscScalar quad_value;
6658: PetscCall(PetscArraycpy(constraints_idxs + constraints_idxs_ptr[total_counts_cc], is_indices, size_of_constraint));
6659: idxs_copied = PETSC_TRUE;
6661: if (!pcbddc->use_nnsp_true) {
6662: quad_value = (PetscScalar)(1.0 / PetscSqrtReal((PetscReal)size_of_constraint));
6663: } else {
6664: quad_value = 1.0;
6665: }
6666: for (j = 0; j < size_of_constraint; j++) constraints_data[constraints_data_ptr[total_counts_cc] + j] = quad_value;
6667: temp_constraints++;
6668: total_counts++;
6669: }
6670: for (k = 0; k < nnsp_size; k++) {
6671: PetscReal real_value;
6672: PetscScalar *ptr_to_data;
6674: PetscCall(VecGetArrayRead(localnearnullsp[k], (const PetscScalar **)&array));
6675: ptr_to_data = &constraints_data[constraints_data_ptr[total_counts_cc] + temp_constraints * size_of_constraint];
6676: for (j = 0; j < size_of_constraint; j++) ptr_to_data[j] = array[is_indices[j]];
6677: PetscCall(VecRestoreArrayRead(localnearnullsp[k], (const PetscScalar **)&array));
6678: /* check if array is null on the connected component */
6679: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
6680: PetscCallBLAS("BLASasum", real_value = BLASasum_(&Blas_N, ptr_to_data, &Blas_one));
6681: if (real_value > tol * size_of_constraint) { /* keep indices and values */
6682: temp_constraints++;
6683: total_counts++;
6684: if (!idxs_copied) {
6685: PetscCall(PetscArraycpy(constraints_idxs + constraints_idxs_ptr[total_counts_cc], is_indices, size_of_constraint));
6686: idxs_copied = PETSC_TRUE;
6687: }
6688: }
6689: }
6690: PetscCall(ISRestoreIndices(used_is, (const PetscInt **)&is_indices));
6691: valid_constraints = temp_constraints;
6692: if (!pcbddc->use_nnsp_true && temp_constraints) {
6693: if (temp_constraints == 1) { /* just normalize the constraint */
6694: PetscScalar norm, *ptr_to_data;
6696: ptr_to_data = &constraints_data[constraints_data_ptr[total_counts_cc]];
6697: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
6698: PetscCallBLAS("BLASdot", norm = BLASdot_(&Blas_N, ptr_to_data, &Blas_one, ptr_to_data, &Blas_one));
6699: norm = 1.0 / PetscSqrtReal(PetscRealPart(norm));
6700: PetscCallBLAS("BLASscal", BLASscal_(&Blas_N, &norm, ptr_to_data, &Blas_one));
6701: } else { /* perform SVD */
6702: PetscScalar *ptr_to_data = &constraints_data[constraints_data_ptr[total_counts_cc]];
6704: if (use_pod) {
6705: /* SVD: Y = U*S*V^H -> U (eigenvectors of Y*Y^H) = Y*V*(S)^\dag
6706: POD: Y^H*Y = V*D*V^H, D = S^H*S -> U = Y*V*D^(-1/2)
6707: -> When PETSC_USE_COMPLEX and PETSC_MISSING_LAPACK_GESVD are defined
6708: the constraints basis will differ (by a complex factor with absolute value equal to 1)
6709: from that computed using LAPACKgesvd
6710: -> This is due to a different computation of eigenvectors in LAPACKheev
6711: -> The quality of the POD-computed basis will be the same */
6712: PetscCall(PetscArrayzero(correlation_mat, temp_constraints * temp_constraints));
6713: /* Store upper triangular part of correlation matrix */
6714: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
6715: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6716: for (j = 0; j < temp_constraints; j++) {
6717: 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));
6718: }
6719: /* compute eigenvalues and eigenvectors of correlation matrix */
6720: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_N));
6721: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_LDA));
6722: #if !defined(PETSC_USE_COMPLEX)
6723: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, work, &lwork, &lierr));
6724: #else
6725: PetscCallBLAS("LAPACKsyev", LAPACKsyev_("V", "U", &Blas_N, correlation_mat, &Blas_LDA, singular_vals, work, &lwork, rwork, &lierr));
6726: #endif
6727: PetscCall(PetscFPTrapPop());
6728: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in SYEV Lapack routine %d", (int)lierr);
6729: /* retain eigenvalues greater than tol: note that LAPACKsyev gives eigs in ascending order */
6730: j = 0;
6731: while (j < temp_constraints && singular_vals[j] / singular_vals[temp_constraints - 1] < tol) j++;
6732: total_counts = total_counts - j;
6733: valid_constraints = temp_constraints - j;
6734: /* scale and copy POD basis into used quadrature memory */
6735: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
6736: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_N));
6737: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_K));
6738: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
6739: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_LDB));
6740: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDC));
6741: if (j < temp_constraints) {
6742: PetscInt ii;
6743: for (k = j; k < temp_constraints; k++) singular_vals[k] = 1.0 / PetscSqrtReal(singular_vals[k]);
6744: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6745: 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));
6746: PetscCall(PetscFPTrapPop());
6747: for (k = 0; k < temp_constraints - j; k++) {
6748: 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];
6749: }
6750: }
6751: } else {
6752: #if !defined(PETSC_MISSING_LAPACK_GESVD)
6753: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
6754: PetscCall(PetscBLASIntCast(temp_constraints, &Blas_N));
6755: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
6756: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
6757: #if !defined(PETSC_USE_COMPLEX)
6758: 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));
6759: #else
6760: 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));
6761: #endif
6762: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in GESVD Lapack routine %d", (int)lierr);
6763: PetscCall(PetscFPTrapPop());
6764: /* retain eigenvalues greater than tol: note that LAPACKgesvd gives eigs in descending order */
6765: k = temp_constraints;
6766: if (k > size_of_constraint) k = size_of_constraint;
6767: j = 0;
6768: while (j < k && singular_vals[k - j - 1] / singular_vals[0] < tol) j++;
6769: valid_constraints = k - j;
6770: total_counts = total_counts - temp_constraints + valid_constraints;
6771: #else
6772: SETERRQ(PETSC_COMM_SELF, PETSC_ERR_LIB, "This should not happen");
6773: #endif /* on missing GESVD */
6774: }
6775: }
6776: }
6777: /* update pointers information */
6778: if (valid_constraints) {
6779: constraints_n[total_counts_cc] = valid_constraints;
6780: constraints_idxs_ptr[total_counts_cc + 1] = constraints_idxs_ptr[total_counts_cc] + size_of_constraint;
6781: constraints_data_ptr[total_counts_cc + 1] = constraints_data_ptr[total_counts_cc] + size_of_constraint * valid_constraints;
6782: /* set change_of_basis flag */
6783: if (boolforchange) PetscCall(PetscBTSet(change_basis, total_counts_cc));
6784: total_counts_cc++;
6785: }
6786: }
6787: /* free workspace */
6788: if (!skip_lapack) {
6789: PetscCall(PetscFree(work));
6790: #if defined(PETSC_USE_COMPLEX)
6791: PetscCall(PetscFree(rwork));
6792: #endif
6793: PetscCall(PetscFree(singular_vals));
6794: PetscCall(PetscFree(correlation_mat));
6795: PetscCall(PetscFree(temp_basis));
6796: }
6797: for (k = 0; k < nnsp_size; k++) PetscCall(VecDestroy(&localnearnullsp[k]));
6798: PetscCall(PetscFree(localnearnullsp));
6799: /* free index sets of faces, edges and vertices */
6800: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, &o_nf, &ISForFaces, &o_ne, &ISForEdges, &ISForVertices));
6801: } else {
6802: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
6804: total_counts = 0;
6805: n_vertices = 0;
6806: if (sub_schurs->is_vertices && pcbddc->use_vertices) PetscCall(ISGetLocalSize(sub_schurs->is_vertices, &n_vertices));
6807: max_constraints = 0;
6808: total_counts_cc = 0;
6809: for (i = 0; i < sub_schurs->n_subs + n_vertices; i++) {
6810: total_counts += pcbddc->adaptive_constraints_n[i];
6811: if (pcbddc->adaptive_constraints_n[i]) total_counts_cc++;
6812: max_constraints = PetscMax(max_constraints, pcbddc->adaptive_constraints_n[i]);
6813: }
6814: constraints_idxs_ptr = pcbddc->adaptive_constraints_idxs_ptr;
6815: constraints_data_ptr = pcbddc->adaptive_constraints_data_ptr;
6816: constraints_idxs = pcbddc->adaptive_constraints_idxs;
6817: constraints_data = pcbddc->adaptive_constraints_data;
6818: /* constraints_n differs from pcbddc->adaptive_constraints_n */
6819: PetscCall(PetscMalloc1(total_counts_cc, &constraints_n));
6820: total_counts_cc = 0;
6821: for (i = 0; i < sub_schurs->n_subs + n_vertices; i++) {
6822: if (pcbddc->adaptive_constraints_n[i]) constraints_n[total_counts_cc++] = pcbddc->adaptive_constraints_n[i];
6823: }
6825: max_size_of_constraint = 0;
6826: 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]);
6827: PetscCall(PetscMalloc1(constraints_idxs_ptr[total_counts_cc], &constraints_idxs_B));
6828: /* Change of basis */
6829: PetscCall(PetscBTCreate(total_counts_cc, &change_basis));
6830: if (pcbddc->use_change_of_basis) {
6831: for (i = 0; i < sub_schurs->n_subs; i++) {
6832: if (PetscBTLookup(sub_schurs->is_edge, i) || pcbddc->use_change_on_faces) PetscCall(PetscBTSet(change_basis, i + n_vertices));
6833: }
6834: }
6835: }
6836: pcbddc->local_primal_size = total_counts;
6837: PetscCall(PetscMalloc1(pcbddc->local_primal_size + pcbddc->benign_n, &pcbddc->primal_indices_local_idxs));
6839: /* map constraints_idxs in boundary numbering */
6840: if (pcbddc->use_change_of_basis) {
6841: PetscCall(ISGlobalToLocalMappingApply(pcis->BtoNmap, IS_GTOLM_DROP, constraints_idxs_ptr[total_counts_cc], constraints_idxs, &i, constraints_idxs_B));
6842: 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);
6843: }
6845: /* Create constraint matrix */
6846: PetscCall(MatCreate(PETSC_COMM_SELF, &pcbddc->ConstraintMatrix));
6847: PetscCall(MatSetType(pcbddc->ConstraintMatrix, MATAIJ));
6848: PetscCall(MatSetSizes(pcbddc->ConstraintMatrix, pcbddc->local_primal_size, pcis->n, pcbddc->local_primal_size, pcis->n));
6850: /* find primal_dofs: subdomain corners plus dofs selected as primal after change of basis */
6851: /* determine if a QR strategy is needed for change of basis */
6852: qr_needed = pcbddc->use_qr_single;
6853: PetscCall(PetscBTCreate(total_counts_cc, &qr_needed_idx));
6854: total_primal_vertices = 0;
6855: pcbddc->local_primal_size_cc = 0;
6856: for (i = 0; i < total_counts_cc; i++) {
6857: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
6858: if (size_of_constraint == 1 && pcbddc->mat_graph->custom_minimal_size) {
6859: pcbddc->primal_indices_local_idxs[total_primal_vertices++] = constraints_idxs[constraints_idxs_ptr[i]];
6860: pcbddc->local_primal_size_cc += 1;
6861: } else if (PetscBTLookup(change_basis, i)) {
6862: for (k = 0; k < constraints_n[i]; k++) pcbddc->primal_indices_local_idxs[total_primal_vertices++] = constraints_idxs[constraints_idxs_ptr[i] + k];
6863: pcbddc->local_primal_size_cc += constraints_n[i];
6864: if (constraints_n[i] > 1 || pcbddc->use_qr_single) {
6865: PetscCall(PetscBTSet(qr_needed_idx, i));
6866: qr_needed = PETSC_TRUE;
6867: }
6868: } else {
6869: pcbddc->local_primal_size_cc += 1;
6870: }
6871: }
6872: /* note that the local variable n_vertices used below stores the number of pointwise constraints */
6873: pcbddc->n_vertices = total_primal_vertices;
6874: /* permute indices in order to have a sorted set of vertices */
6875: PetscCall(PetscSortInt(total_primal_vertices, pcbddc->primal_indices_local_idxs));
6876: 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));
6877: PetscCall(PetscArraycpy(pcbddc->local_primal_ref_node, pcbddc->primal_indices_local_idxs, total_primal_vertices));
6878: for (i = 0; i < total_primal_vertices; i++) pcbddc->local_primal_ref_mult[i] = 1;
6880: /* nonzero structure of constraint matrix */
6881: /* and get reference dof for local constraints */
6882: PetscCall(PetscMalloc1(pcbddc->local_primal_size, &nnz));
6883: for (i = 0; i < total_primal_vertices; i++) nnz[i] = 1;
6885: j = total_primal_vertices;
6886: total_counts = total_primal_vertices;
6887: cum = total_primal_vertices;
6888: for (i = n_vertices; i < total_counts_cc; i++) {
6889: if (!PetscBTLookup(change_basis, i)) {
6890: pcbddc->local_primal_ref_node[cum] = constraints_idxs[constraints_idxs_ptr[i]];
6891: pcbddc->local_primal_ref_mult[cum] = constraints_n[i];
6892: cum++;
6893: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
6894: for (k = 0; k < constraints_n[i]; k++) {
6895: pcbddc->primal_indices_local_idxs[total_counts++] = constraints_idxs[constraints_idxs_ptr[i] + k];
6896: nnz[j + k] = size_of_constraint;
6897: }
6898: j += constraints_n[i];
6899: }
6900: }
6901: PetscCall(MatSeqAIJSetPreallocation(pcbddc->ConstraintMatrix, 0, nnz));
6902: PetscCall(MatSetOption(pcbddc->ConstraintMatrix, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
6903: PetscCall(PetscFree(nnz));
6905: /* set values in constraint matrix */
6906: for (i = 0; i < total_primal_vertices; i++) PetscCall(MatSetValue(pcbddc->ConstraintMatrix, i, pcbddc->local_primal_ref_node[i], 1.0, INSERT_VALUES));
6907: total_counts = total_primal_vertices;
6908: for (i = n_vertices; i < total_counts_cc; i++) {
6909: if (!PetscBTLookup(change_basis, i)) {
6910: PetscInt *cols;
6912: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
6913: cols = constraints_idxs + constraints_idxs_ptr[i];
6914: for (k = 0; k < constraints_n[i]; k++) {
6915: PetscInt row = total_counts + k;
6916: PetscScalar *vals;
6918: vals = constraints_data + constraints_data_ptr[i] + k * size_of_constraint;
6919: PetscCall(MatSetValues(pcbddc->ConstraintMatrix, 1, &row, size_of_constraint, cols, vals, INSERT_VALUES));
6920: }
6921: total_counts += constraints_n[i];
6922: }
6923: }
6924: /* assembling */
6925: PetscCall(MatAssemblyBegin(pcbddc->ConstraintMatrix, MAT_FINAL_ASSEMBLY));
6926: PetscCall(MatAssemblyEnd(pcbddc->ConstraintMatrix, MAT_FINAL_ASSEMBLY));
6927: PetscCall(MatViewFromOptions(pcbddc->ConstraintMatrix, (PetscObject)pc, "-pc_bddc_constraint_mat_view"));
6929: /* Create matrix for change of basis. We don't need it in case pcbddc->use_change_of_basis is FALSE */
6930: if (pcbddc->use_change_of_basis) {
6931: /* dual and primal dofs on a single cc */
6932: PetscInt dual_dofs, primal_dofs;
6933: /* working stuff for GEQRF */
6934: PetscScalar *qr_basis = NULL, *qr_tau = NULL, *qr_work = NULL, lqr_work_t;
6935: PetscBLASInt lqr_work;
6936: /* working stuff for UNGQR */
6937: PetscScalar *gqr_work = NULL, lgqr_work_t = 0.0;
6938: PetscBLASInt lgqr_work;
6939: /* working stuff for TRTRS */
6940: PetscScalar *trs_rhs = NULL;
6941: PetscBLASInt Blas_NRHS;
6942: /* pointers for values insertion into change of basis matrix */
6943: PetscInt *start_rows, *start_cols;
6944: PetscScalar *start_vals;
6945: /* working stuff for values insertion */
6946: PetscBT is_primal;
6947: PetscInt *aux_primal_numbering_B;
6948: /* matrix sizes */
6949: PetscInt global_size, local_size;
6950: /* temporary change of basis */
6951: Mat localChangeOfBasisMatrix;
6952: /* extra space for debugging */
6953: PetscScalar *dbg_work = NULL;
6955: PetscCall(MatCreate(PETSC_COMM_SELF, &localChangeOfBasisMatrix));
6956: PetscCall(MatSetType(localChangeOfBasisMatrix, MATAIJ));
6957: PetscCall(MatSetSizes(localChangeOfBasisMatrix, pcis->n, pcis->n, pcis->n, pcis->n));
6958: /* nonzeros for local mat */
6959: PetscCall(PetscMalloc1(pcis->n, &nnz));
6960: if (!pcbddc->benign_change || pcbddc->fake_change) {
6961: for (i = 0; i < pcis->n; i++) nnz[i] = 1;
6962: } else {
6963: const PetscInt *ii;
6964: PetscInt n;
6965: PetscBool flg_row;
6966: PetscCall(MatGetRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, NULL, &flg_row));
6967: for (i = 0; i < n; i++) nnz[i] = ii[i + 1] - ii[i];
6968: PetscCall(MatRestoreRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, NULL, &flg_row));
6969: }
6970: for (i = n_vertices; i < total_counts_cc; i++) {
6971: if (PetscBTLookup(change_basis, i)) {
6972: size_of_constraint = constraints_idxs_ptr[i + 1] - constraints_idxs_ptr[i];
6973: if (PetscBTLookup(qr_needed_idx, i)) {
6974: for (j = 0; j < size_of_constraint; j++) nnz[constraints_idxs[constraints_idxs_ptr[i] + j]] = size_of_constraint;
6975: } else {
6976: nnz[constraints_idxs[constraints_idxs_ptr[i]]] = size_of_constraint;
6977: for (j = 1; j < size_of_constraint; j++) nnz[constraints_idxs[constraints_idxs_ptr[i] + j]] = 2;
6978: }
6979: }
6980: }
6981: PetscCall(MatSeqAIJSetPreallocation(localChangeOfBasisMatrix, 0, nnz));
6982: PetscCall(MatSetOption(localChangeOfBasisMatrix, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_TRUE));
6983: PetscCall(PetscFree(nnz));
6984: /* Set interior change in the matrix */
6985: if (!pcbddc->benign_change || pcbddc->fake_change) {
6986: for (i = 0; i < pcis->n; i++) PetscCall(MatSetValue(localChangeOfBasisMatrix, i, i, 1.0, INSERT_VALUES));
6987: } else {
6988: const PetscInt *ii, *jj;
6989: PetscScalar *aa;
6990: PetscInt n;
6991: PetscBool flg_row;
6992: PetscCall(MatGetRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg_row));
6993: PetscCall(MatSeqAIJGetArray(pcbddc->benign_change, &aa));
6994: for (i = 0; i < n; i++) PetscCall(MatSetValues(localChangeOfBasisMatrix, 1, &i, ii[i + 1] - ii[i], jj + ii[i], aa + ii[i], INSERT_VALUES));
6995: PetscCall(MatSeqAIJRestoreArray(pcbddc->benign_change, &aa));
6996: PetscCall(MatRestoreRowIJ(pcbddc->benign_change, 0, PETSC_FALSE, PETSC_FALSE, &n, &ii, &jj, &flg_row));
6997: }
6999: if (pcbddc->dbg_flag) {
7000: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "--------------------------------------------------------------\n"));
7001: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Checking change of basis computation for subdomain %04d\n", PetscGlobalRank));
7002: }
7004: /* Now we loop on the constraints which need a change of basis */
7005: /*
7006: Change of basis matrix is evaluated similarly to the FIRST APPROACH in
7007: Klawonn and Widlund, Dual-primal FETI-DP methods for linear elasticity, (see Sect 6.2.1)
7009: Basic blocks of change of basis matrix T computed:
7011: - 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)
7013: | 1 0 ... 0 s_1/S |
7014: | 0 1 ... 0 s_2/S |
7015: | ... |
7016: | 0 ... 1 s_{n-1}/S |
7017: | -s_1/s_n ... -s_{n-1}/s_n s_n/S |
7019: with S = \sum_{i=1}^n s_i^2
7020: NOTE: in the above example, the primal dof is the last one of the edge in LOCAL ordering
7021: in the current implementation, the primal dof is the first one of the edge in GLOBAL ordering
7023: - QR decomposition of constraints otherwise
7024: */
7025: if (qr_needed && max_size_of_constraint) {
7026: /* space to store Q */
7027: PetscCall(PetscMalloc1(max_size_of_constraint * max_size_of_constraint, &qr_basis));
7028: /* array to store scaling factors for reflectors */
7029: PetscCall(PetscMalloc1(max_constraints, &qr_tau));
7030: /* first we issue queries for optimal work */
7031: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_M));
7032: PetscCall(PetscBLASIntCast(max_constraints, &Blas_N));
7033: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_LDA));
7034: lqr_work = -1;
7035: PetscCallBLAS("LAPACKgeqrf", LAPACKgeqrf_(&Blas_M, &Blas_N, qr_basis, &Blas_LDA, qr_tau, &lqr_work_t, &lqr_work, &lierr));
7036: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to GEQRF Lapack routine %d", (int)lierr);
7037: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(lqr_work_t), &lqr_work));
7038: PetscCall(PetscMalloc1(lqr_work, &qr_work));
7039: lgqr_work = -1;
7040: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_M));
7041: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_N));
7042: PetscCall(PetscBLASIntCast(max_constraints, &Blas_K));
7043: PetscCall(PetscBLASIntCast(max_size_of_constraint, &Blas_LDA));
7044: if (Blas_K > Blas_M) Blas_K = Blas_M; /* adjust just for computing optimal work */
7045: PetscCallBLAS("LAPACKorgqr", LAPACKorgqr_(&Blas_M, &Blas_N, &Blas_K, qr_basis, &Blas_LDA, qr_tau, &lgqr_work_t, &lgqr_work, &lierr));
7046: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in query to ORGQR/UNGQR Lapack routine %d", (int)lierr);
7047: PetscCall(PetscBLASIntCast((PetscInt)PetscRealPart(lgqr_work_t), &lgqr_work));
7048: PetscCall(PetscMalloc1(lgqr_work, &gqr_work));
7049: /* array to store rhs and solution of triangular solver */
7050: PetscCall(PetscMalloc1(max_constraints * max_constraints, &trs_rhs));
7051: /* allocating workspace for check */
7052: if (pcbddc->dbg_flag) PetscCall(PetscMalloc1(max_size_of_constraint * (max_constraints + max_size_of_constraint), &dbg_work));
7053: }
7054: /* array to store whether a node is primal or not */
7055: PetscCall(PetscBTCreate(pcis->n_B, &is_primal));
7056: PetscCall(PetscMalloc1(total_primal_vertices, &aux_primal_numbering_B));
7057: PetscCall(ISGlobalToLocalMappingApply(pcis->BtoNmap, IS_GTOLM_DROP, total_primal_vertices, pcbddc->local_primal_ref_node, &i, aux_primal_numbering_B));
7058: 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);
7059: for (i = 0; i < total_primal_vertices; i++) PetscCall(PetscBTSet(is_primal, aux_primal_numbering_B[i]));
7060: PetscCall(PetscFree(aux_primal_numbering_B));
7062: /* loop on constraints and see whether or not they need a change of basis and compute it */
7063: for (total_counts = n_vertices; total_counts < total_counts_cc; total_counts++) {
7064: size_of_constraint = constraints_idxs_ptr[total_counts + 1] - constraints_idxs_ptr[total_counts];
7065: if (PetscBTLookup(change_basis, total_counts)) {
7066: /* get constraint info */
7067: primal_dofs = constraints_n[total_counts];
7068: dual_dofs = size_of_constraint - primal_dofs;
7070: 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));
7072: if (PetscBTLookup(qr_needed_idx, total_counts)) { /* QR */
7074: /* copy quadrature constraints for change of basis check */
7075: if (pcbddc->dbg_flag) PetscCall(PetscArraycpy(dbg_work, &constraints_data[constraints_data_ptr[total_counts]], size_of_constraint * primal_dofs));
7076: /* copy temporary constraints into larger work vector (in order to store all columns of Q) */
7077: PetscCall(PetscArraycpy(qr_basis, &constraints_data[constraints_data_ptr[total_counts]], size_of_constraint * primal_dofs));
7079: /* compute QR decomposition of constraints */
7080: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
7081: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_N));
7082: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7083: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7084: PetscCallBLAS("LAPACKgeqrf", LAPACKgeqrf_(&Blas_M, &Blas_N, qr_basis, &Blas_LDA, qr_tau, qr_work, &lqr_work, &lierr));
7085: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in GEQRF Lapack routine %d", (int)lierr);
7086: PetscCall(PetscFPTrapPop());
7088: /* explicitly compute R^-T */
7089: PetscCall(PetscArrayzero(trs_rhs, primal_dofs * primal_dofs));
7090: for (j = 0; j < primal_dofs; j++) trs_rhs[j * (primal_dofs + 1)] = 1.0;
7091: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_N));
7092: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_NRHS));
7093: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7094: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_LDB));
7095: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7096: PetscCallBLAS("LAPACKtrtrs", LAPACKtrtrs_("U", "T", "N", &Blas_N, &Blas_NRHS, qr_basis, &Blas_LDA, trs_rhs, &Blas_LDB, &lierr));
7097: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in TRTRS Lapack routine %d", (int)lierr);
7098: PetscCall(PetscFPTrapPop());
7100: /* explicitly compute all columns of Q (Q = [Q1 | Q2]) overwriting QR factorization in qr_basis */
7101: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
7102: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
7103: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_K));
7104: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7105: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7106: PetscCallBLAS("LAPACKorgqr", LAPACKorgqr_(&Blas_M, &Blas_N, &Blas_K, qr_basis, &Blas_LDA, qr_tau, gqr_work, &lgqr_work, &lierr));
7107: PetscCheck(!lierr, PETSC_COMM_SELF, PETSC_ERR_LIB, "Error in ORGQR/UNGQR Lapack routine %d", (int)lierr);
7108: PetscCall(PetscFPTrapPop());
7110: /* first primal_dofs columns of Q need to be re-scaled in order to be unitary w.r.t constraints
7111: i.e. C_{pxn}*Q_{nxn} should be equal to [I_pxp | 0_pxd] (see check below)
7112: where n=size_of_constraint, p=primal_dofs, d=dual_dofs (n=p+d), I and 0 identity and null matrix resp. */
7113: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_M));
7114: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_N));
7115: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_K));
7116: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7117: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_LDB));
7118: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDC));
7119: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7120: 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));
7121: PetscCall(PetscFPTrapPop());
7122: PetscCall(PetscArraycpy(qr_basis, &constraints_data[constraints_data_ptr[total_counts]], size_of_constraint * primal_dofs));
7124: /* insert values in change of basis matrix respecting global ordering of new primal dofs */
7125: start_rows = &constraints_idxs[constraints_idxs_ptr[total_counts]];
7126: /* insert cols for primal dofs */
7127: for (j = 0; j < primal_dofs; j++) {
7128: start_vals = &qr_basis[j * size_of_constraint];
7129: start_cols = &constraints_idxs[constraints_idxs_ptr[total_counts] + j];
7130: PetscCall(MatSetValues(localChangeOfBasisMatrix, size_of_constraint, start_rows, 1, start_cols, start_vals, INSERT_VALUES));
7131: }
7132: /* insert cols for dual dofs */
7133: for (j = 0, k = 0; j < dual_dofs; k++) {
7134: if (!PetscBTLookup(is_primal, constraints_idxs_B[constraints_idxs_ptr[total_counts] + k])) {
7135: start_vals = &qr_basis[(primal_dofs + j) * size_of_constraint];
7136: start_cols = &constraints_idxs[constraints_idxs_ptr[total_counts] + k];
7137: PetscCall(MatSetValues(localChangeOfBasisMatrix, size_of_constraint, start_rows, 1, start_cols, start_vals, INSERT_VALUES));
7138: j++;
7139: }
7140: }
7142: /* check change of basis */
7143: if (pcbddc->dbg_flag) {
7144: PetscInt ii, jj;
7145: PetscBool valid_qr = PETSC_TRUE;
7146: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_M));
7147: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
7148: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_K));
7149: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDA));
7150: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_LDB));
7151: PetscCall(PetscBLASIntCast(primal_dofs, &Blas_LDC));
7152: PetscCall(PetscFPTrapPush(PETSC_FP_TRAP_OFF));
7153: 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));
7154: PetscCall(PetscFPTrapPop());
7155: for (jj = 0; jj < size_of_constraint; jj++) {
7156: for (ii = 0; ii < primal_dofs; ii++) {
7157: if (ii != jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii]) > 1.e-12) valid_qr = PETSC_FALSE;
7158: if (ii == jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii] - (PetscReal)1) > 1.e-12) valid_qr = PETSC_FALSE;
7159: }
7160: }
7161: if (!valid_qr) {
7162: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "\t-> wrong change of basis!\n"));
7163: for (jj = 0; jj < size_of_constraint; jj++) {
7164: for (ii = 0; ii < primal_dofs; ii++) {
7165: if (ii != jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii]) > 1.e-12) {
7166: 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])));
7167: }
7168: if (ii == jj && PetscAbsScalar(dbg_work[size_of_constraint * primal_dofs + jj * primal_dofs + ii] - (PetscReal)1) > 1.e-12) {
7169: 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])));
7170: }
7171: }
7172: }
7173: } else {
7174: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "\t-> right change of basis!\n"));
7175: }
7176: }
7177: } else { /* simple transformation block */
7178: PetscInt row, col;
7179: PetscScalar val, norm;
7181: PetscCall(PetscBLASIntCast(size_of_constraint, &Blas_N));
7182: PetscCallBLAS("BLASdot", norm = BLASdot_(&Blas_N, constraints_data + constraints_data_ptr[total_counts], &Blas_one, constraints_data + constraints_data_ptr[total_counts], &Blas_one));
7183: for (j = 0; j < size_of_constraint; j++) {
7184: PetscInt row_B = constraints_idxs_B[constraints_idxs_ptr[total_counts] + j];
7185: row = constraints_idxs[constraints_idxs_ptr[total_counts] + j];
7186: if (!PetscBTLookup(is_primal, row_B)) {
7187: col = constraints_idxs[constraints_idxs_ptr[total_counts]];
7188: PetscCall(MatSetValue(localChangeOfBasisMatrix, row, row, 1.0, INSERT_VALUES));
7189: PetscCall(MatSetValue(localChangeOfBasisMatrix, row, col, constraints_data[constraints_data_ptr[total_counts] + j] / norm, INSERT_VALUES));
7190: } else {
7191: for (k = 0; k < size_of_constraint; k++) {
7192: col = constraints_idxs[constraints_idxs_ptr[total_counts] + k];
7193: if (row != col) {
7194: val = -constraints_data[constraints_data_ptr[total_counts] + k] / constraints_data[constraints_data_ptr[total_counts]];
7195: } else {
7196: val = constraints_data[constraints_data_ptr[total_counts]] / norm;
7197: }
7198: PetscCall(MatSetValue(localChangeOfBasisMatrix, row, col, val, INSERT_VALUES));
7199: }
7200: }
7201: }
7202: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "\t-> using standard change of basis\n"));
7203: }
7204: } else {
7205: 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));
7206: }
7207: }
7209: /* free workspace */
7210: if (qr_needed) {
7211: if (pcbddc->dbg_flag) PetscCall(PetscFree(dbg_work));
7212: PetscCall(PetscFree(trs_rhs));
7213: PetscCall(PetscFree(qr_tau));
7214: PetscCall(PetscFree(qr_work));
7215: PetscCall(PetscFree(gqr_work));
7216: PetscCall(PetscFree(qr_basis));
7217: }
7218: PetscCall(PetscBTDestroy(&is_primal));
7219: PetscCall(MatAssemblyBegin(localChangeOfBasisMatrix, MAT_FINAL_ASSEMBLY));
7220: PetscCall(MatAssemblyEnd(localChangeOfBasisMatrix, MAT_FINAL_ASSEMBLY));
7222: /* assembling of global change of variable */
7223: if (!pcbddc->fake_change) {
7224: Mat tmat;
7225: PetscInt bs;
7227: PetscCall(VecGetSize(pcis->vec1_global, &global_size));
7228: PetscCall(VecGetLocalSize(pcis->vec1_global, &local_size));
7229: PetscCall(MatDuplicate(pc->pmat, MAT_DO_NOT_COPY_VALUES, &tmat));
7230: PetscCall(MatISSetLocalMat(tmat, localChangeOfBasisMatrix));
7231: PetscCall(MatAssemblyBegin(tmat, MAT_FINAL_ASSEMBLY));
7232: PetscCall(MatAssemblyEnd(tmat, MAT_FINAL_ASSEMBLY));
7233: PetscCall(MatCreate(PetscObjectComm((PetscObject)pc), &pcbddc->ChangeOfBasisMatrix));
7234: PetscCall(MatSetType(pcbddc->ChangeOfBasisMatrix, MATAIJ));
7235: PetscCall(MatGetBlockSize(pc->pmat, &bs));
7236: PetscCall(MatSetBlockSize(pcbddc->ChangeOfBasisMatrix, bs));
7237: PetscCall(MatSetSizes(pcbddc->ChangeOfBasisMatrix, local_size, local_size, global_size, global_size));
7238: PetscCall(MatISSetMPIXAIJPreallocation_Private(tmat, pcbddc->ChangeOfBasisMatrix, PETSC_TRUE));
7239: PetscCall(MatConvert(tmat, MATAIJ, MAT_REUSE_MATRIX, &pcbddc->ChangeOfBasisMatrix));
7240: PetscCall(MatDestroy(&tmat));
7241: PetscCall(VecSet(pcis->vec1_global, 0.0));
7242: PetscCall(VecSet(pcis->vec1_N, 1.0));
7243: PetscCall(VecScatterBegin(matis->rctx, pcis->vec1_N, pcis->vec1_global, ADD_VALUES, SCATTER_REVERSE));
7244: PetscCall(VecScatterEnd(matis->rctx, pcis->vec1_N, pcis->vec1_global, ADD_VALUES, SCATTER_REVERSE));
7245: PetscCall(VecReciprocal(pcis->vec1_global));
7246: PetscCall(MatDiagonalScale(pcbddc->ChangeOfBasisMatrix, pcis->vec1_global, NULL));
7248: /* check */
7249: if (pcbddc->dbg_flag) {
7250: PetscReal error;
7251: Vec x, x_change;
7253: PetscCall(VecDuplicate(pcis->vec1_global, &x));
7254: PetscCall(VecDuplicate(pcis->vec1_global, &x_change));
7255: PetscCall(VecSetRandom(x, NULL));
7256: PetscCall(VecCopy(x, pcis->vec1_global));
7257: PetscCall(VecScatterBegin(matis->rctx, x, pcis->vec1_N, INSERT_VALUES, SCATTER_FORWARD));
7258: PetscCall(VecScatterEnd(matis->rctx, x, pcis->vec1_N, INSERT_VALUES, SCATTER_FORWARD));
7259: PetscCall(MatMult(localChangeOfBasisMatrix, pcis->vec1_N, pcis->vec2_N));
7260: PetscCall(VecScatterBegin(matis->rctx, pcis->vec2_N, x, INSERT_VALUES, SCATTER_REVERSE));
7261: PetscCall(VecScatterEnd(matis->rctx, pcis->vec2_N, x, INSERT_VALUES, SCATTER_REVERSE));
7262: PetscCall(MatMult(pcbddc->ChangeOfBasisMatrix, pcis->vec1_global, x_change));
7263: PetscCall(VecAXPY(x, -1.0, x_change));
7264: PetscCall(VecNorm(x, NORM_INFINITY, &error));
7265: PetscCheck(error <= PETSC_SMALL, PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "Error global vs local change on N: %1.6e", (double)error);
7266: PetscCall(VecDestroy(&x));
7267: PetscCall(VecDestroy(&x_change));
7268: }
7269: /* adapt sub_schurs computed (if any) */
7270: if (pcbddc->use_deluxe_scaling) {
7271: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
7273: 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");
7274: if (sub_schurs && sub_schurs->S_Ej_all) {
7275: Mat S_new, tmat;
7276: IS is_all_N, is_V_Sall = NULL;
7278: PetscCall(ISLocalToGlobalMappingApplyIS(pcis->BtoNmap, sub_schurs->is_Ej_all, &is_all_N));
7279: PetscCall(MatCreateSubMatrix(localChangeOfBasisMatrix, is_all_N, is_all_N, MAT_INITIAL_MATRIX, &tmat));
7280: if (pcbddc->deluxe_zerorows) {
7281: ISLocalToGlobalMapping NtoSall;
7282: IS is_V;
7283: PetscCall(ISCreateGeneral(PETSC_COMM_SELF, pcbddc->n_vertices, pcbddc->local_primal_ref_node, PETSC_COPY_VALUES, &is_V));
7284: PetscCall(ISLocalToGlobalMappingCreateIS(is_all_N, &NtoSall));
7285: PetscCall(ISGlobalToLocalMappingApplyIS(NtoSall, IS_GTOLM_DROP, is_V, &is_V_Sall));
7286: PetscCall(ISLocalToGlobalMappingDestroy(&NtoSall));
7287: PetscCall(ISDestroy(&is_V));
7288: }
7289: PetscCall(ISDestroy(&is_all_N));
7290: PetscCall(MatPtAP(sub_schurs->S_Ej_all, tmat, MAT_INITIAL_MATRIX, 1.0, &S_new));
7291: PetscCall(MatDestroy(&sub_schurs->S_Ej_all));
7292: PetscCall(PetscObjectReference((PetscObject)S_new));
7293: if (pcbddc->deluxe_zerorows) {
7294: const PetscScalar *array;
7295: const PetscInt *idxs_V, *idxs_all;
7296: PetscInt i, n_V;
7298: PetscCall(MatZeroRowsColumnsIS(S_new, is_V_Sall, 1., NULL, NULL));
7299: PetscCall(ISGetLocalSize(is_V_Sall, &n_V));
7300: PetscCall(ISGetIndices(is_V_Sall, &idxs_V));
7301: PetscCall(ISGetIndices(sub_schurs->is_Ej_all, &idxs_all));
7302: PetscCall(VecGetArrayRead(pcis->D, &array));
7303: for (i = 0; i < n_V; i++) {
7304: PetscScalar val;
7305: PetscInt idx;
7307: idx = idxs_V[i];
7308: val = array[idxs_all[idxs_V[i]]];
7309: PetscCall(MatSetValue(S_new, idx, idx, val, INSERT_VALUES));
7310: }
7311: PetscCall(MatAssemblyBegin(S_new, MAT_FINAL_ASSEMBLY));
7312: PetscCall(MatAssemblyEnd(S_new, MAT_FINAL_ASSEMBLY));
7313: PetscCall(VecRestoreArrayRead(pcis->D, &array));
7314: PetscCall(ISRestoreIndices(sub_schurs->is_Ej_all, &idxs_all));
7315: PetscCall(ISRestoreIndices(is_V_Sall, &idxs_V));
7316: }
7317: sub_schurs->S_Ej_all = S_new;
7318: PetscCall(MatDestroy(&S_new));
7319: if (sub_schurs->sum_S_Ej_all) {
7320: PetscCall(MatPtAP(sub_schurs->sum_S_Ej_all, tmat, MAT_INITIAL_MATRIX, 1.0, &S_new));
7321: PetscCall(MatDestroy(&sub_schurs->sum_S_Ej_all));
7322: PetscCall(PetscObjectReference((PetscObject)S_new));
7323: if (pcbddc->deluxe_zerorows) PetscCall(MatZeroRowsColumnsIS(S_new, is_V_Sall, 1., NULL, NULL));
7324: sub_schurs->sum_S_Ej_all = S_new;
7325: PetscCall(MatDestroy(&S_new));
7326: }
7327: PetscCall(ISDestroy(&is_V_Sall));
7328: PetscCall(MatDestroy(&tmat));
7329: }
7330: /* destroy any change of basis context in sub_schurs */
7331: if (sub_schurs && sub_schurs->change) {
7332: PetscInt i;
7334: for (i = 0; i < sub_schurs->n_subs; i++) PetscCall(KSPDestroy(&sub_schurs->change[i]));
7335: PetscCall(PetscFree(sub_schurs->change));
7336: }
7337: }
7338: if (pcbddc->switch_static) { /* need to save the local change */
7339: pcbddc->switch_static_change = localChangeOfBasisMatrix;
7340: } else {
7341: PetscCall(MatDestroy(&localChangeOfBasisMatrix));
7342: }
7343: /* determine if any process has changed the pressures locally */
7344: pcbddc->change_interior = pcbddc->benign_have_null;
7345: } else { /* fake change (get back change of basis into ConstraintMatrix and info on qr) */
7346: PetscCall(MatDestroy(&pcbddc->ConstraintMatrix));
7347: pcbddc->ConstraintMatrix = localChangeOfBasisMatrix;
7348: pcbddc->use_qr_single = qr_needed;
7349: }
7350: } else if (pcbddc->user_ChangeOfBasisMatrix || pcbddc->benign_saddle_point) {
7351: if (!pcbddc->benign_have_null && pcbddc->user_ChangeOfBasisMatrix) {
7352: PetscCall(PetscObjectReference((PetscObject)pcbddc->user_ChangeOfBasisMatrix));
7353: pcbddc->ChangeOfBasisMatrix = pcbddc->user_ChangeOfBasisMatrix;
7354: } else {
7355: Mat benign_global = NULL;
7356: if (pcbddc->benign_have_null) {
7357: Mat M;
7359: pcbddc->change_interior = PETSC_TRUE;
7360: PetscCall(VecCopy(matis->counter, pcis->vec1_N));
7361: PetscCall(VecReciprocal(pcis->vec1_N));
7362: PetscCall(MatDuplicate(pc->pmat, MAT_DO_NOT_COPY_VALUES, &benign_global));
7363: if (pcbddc->benign_change) {
7364: PetscCall(MatDuplicate(pcbddc->benign_change, MAT_COPY_VALUES, &M));
7365: PetscCall(MatDiagonalScale(M, pcis->vec1_N, NULL));
7366: } else {
7367: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, pcis->n, pcis->n, 1, NULL, &M));
7368: PetscCall(MatDiagonalSet(M, pcis->vec1_N, INSERT_VALUES));
7369: }
7370: PetscCall(MatISSetLocalMat(benign_global, M));
7371: PetscCall(MatDestroy(&M));
7372: PetscCall(MatAssemblyBegin(benign_global, MAT_FINAL_ASSEMBLY));
7373: PetscCall(MatAssemblyEnd(benign_global, MAT_FINAL_ASSEMBLY));
7374: }
7375: if (pcbddc->user_ChangeOfBasisMatrix) {
7376: PetscCall(MatMatMult(pcbddc->user_ChangeOfBasisMatrix, benign_global, MAT_INITIAL_MATRIX, PETSC_DEFAULT, &pcbddc->ChangeOfBasisMatrix));
7377: PetscCall(MatDestroy(&benign_global));
7378: } else if (pcbddc->benign_have_null) {
7379: pcbddc->ChangeOfBasisMatrix = benign_global;
7380: }
7381: }
7382: if (pcbddc->switch_static && pcbddc->ChangeOfBasisMatrix) { /* need to save the local change */
7383: IS is_global;
7384: const PetscInt *gidxs;
7386: PetscCall(ISLocalToGlobalMappingGetIndices(matis->rmapping, &gidxs));
7387: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), pcis->n, gidxs, PETSC_COPY_VALUES, &is_global));
7388: PetscCall(ISLocalToGlobalMappingRestoreIndices(matis->rmapping, &gidxs));
7389: PetscCall(MatCreateSubMatrixUnsorted(pcbddc->ChangeOfBasisMatrix, is_global, is_global, &pcbddc->switch_static_change));
7390: PetscCall(ISDestroy(&is_global));
7391: }
7392: }
7393: if (!pcbddc->fake_change && pcbddc->ChangeOfBasisMatrix && !pcbddc->work_change) PetscCall(VecDuplicate(pcis->vec1_global, &pcbddc->work_change));
7395: if (!pcbddc->fake_change) {
7396: /* add pressure dofs to set of primal nodes for numbering purposes */
7397: for (i = 0; i < pcbddc->benign_n; i++) {
7398: pcbddc->local_primal_ref_node[pcbddc->local_primal_size_cc] = pcbddc->benign_p0_lidx[i];
7399: pcbddc->primal_indices_local_idxs[pcbddc->local_primal_size] = pcbddc->benign_p0_lidx[i];
7400: pcbddc->local_primal_ref_mult[pcbddc->local_primal_size_cc] = 1;
7401: pcbddc->local_primal_size_cc++;
7402: pcbddc->local_primal_size++;
7403: }
7405: /* check if a new primal space has been introduced (also take into account benign trick) */
7406: pcbddc->new_primal_space_local = PETSC_TRUE;
7407: if (olocal_primal_size == pcbddc->local_primal_size) {
7408: PetscCall(PetscArraycmp(pcbddc->local_primal_ref_node, olocal_primal_ref_node, olocal_primal_size_cc, &pcbddc->new_primal_space_local));
7409: pcbddc->new_primal_space_local = (PetscBool)(!pcbddc->new_primal_space_local);
7410: if (!pcbddc->new_primal_space_local) {
7411: PetscCall(PetscArraycmp(pcbddc->local_primal_ref_mult, olocal_primal_ref_mult, olocal_primal_size_cc, &pcbddc->new_primal_space_local));
7412: pcbddc->new_primal_space_local = (PetscBool)(!pcbddc->new_primal_space_local);
7413: }
7414: }
7415: /* new_primal_space will be used for numbering of coarse dofs, so it should be the same across all subdomains */
7416: PetscCall(MPIU_Allreduce(&pcbddc->new_primal_space_local, &pcbddc->new_primal_space, 1, MPIU_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
7417: }
7418: PetscCall(PetscFree2(olocal_primal_ref_node, olocal_primal_ref_mult));
7420: /* flush dbg viewer */
7421: if (pcbddc->dbg_flag) PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
7423: /* free workspace */
7424: PetscCall(PetscBTDestroy(&qr_needed_idx));
7425: PetscCall(PetscBTDestroy(&change_basis));
7426: if (!pcbddc->adaptive_selection) {
7427: PetscCall(PetscFree3(constraints_idxs_ptr, constraints_data_ptr, constraints_n));
7428: PetscCall(PetscFree3(constraints_data, constraints_idxs, constraints_idxs_B));
7429: } else {
7430: PetscCall(PetscFree5(pcbddc->adaptive_constraints_n, pcbddc->adaptive_constraints_idxs_ptr, pcbddc->adaptive_constraints_data_ptr, pcbddc->adaptive_constraints_idxs, pcbddc->adaptive_constraints_data));
7431: PetscCall(PetscFree(constraints_n));
7432: PetscCall(PetscFree(constraints_idxs_B));
7433: }
7434: PetscFunctionReturn(PETSC_SUCCESS);
7435: }
7437: PetscErrorCode PCBDDCAnalyzeInterface(PC pc)
7438: {
7439: ISLocalToGlobalMapping map;
7440: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
7441: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
7442: PetscInt i, N;
7443: PetscBool rcsr = PETSC_FALSE;
7445: PetscFunctionBegin;
7446: if (pcbddc->recompute_topography) {
7447: pcbddc->graphanalyzed = PETSC_FALSE;
7448: /* Reset previously computed graph */
7449: PetscCall(PCBDDCGraphReset(pcbddc->mat_graph));
7450: /* Init local Graph struct */
7451: PetscCall(MatGetSize(pc->pmat, &N, NULL));
7452: PetscCall(MatISGetLocalToGlobalMapping(pc->pmat, &map, NULL));
7453: PetscCall(PCBDDCGraphInit(pcbddc->mat_graph, map, N, pcbddc->graphmaxcount));
7455: if (pcbddc->user_primal_vertices_local && !pcbddc->user_primal_vertices) PetscCall(PCBDDCConsistencyCheckIS(pc, MPI_LOR, &pcbddc->user_primal_vertices_local));
7456: /* Check validity of the csr graph passed in by the user */
7457: 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,
7458: pcbddc->mat_graph->nvtxs);
7460: /* Set default CSR adjacency of local dofs if not provided by the user with PCBDDCSetLocalAdjacencyGraph */
7461: if (!pcbddc->mat_graph->xadj && pcbddc->use_local_adj) {
7462: PetscInt *xadj, *adjncy;
7463: PetscInt nvtxs;
7464: PetscBool flg_row;
7465: Mat A;
7467: PetscCall(PetscObjectReference((PetscObject)matis->A));
7468: A = matis->A;
7469: for (PetscInt i = 0; i < pcbddc->local_adj_square; i++) {
7470: Mat AtA;
7472: PetscCall(MatProductCreate(A, A, NULL, &AtA));
7473: PetscCall(MatSetOptionsPrefix(AtA, "pc_bddc_graph_"));
7474: PetscCall(MatProductSetType(AtA, MATPRODUCT_AtB));
7475: PetscCall(MatProductSetFromOptions(AtA));
7476: PetscCall(MatProductSymbolic(AtA));
7477: PetscCall(MatProductClear(AtA));
7478: /* we only need the sparsity, cheat and tell PETSc the matrix has been assembled */
7479: AtA->assembled = PETSC_TRUE;
7480: PetscCall(MatDestroy(&A));
7481: A = AtA;
7482: }
7483: PetscCall(MatGetRowIJ(A, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
7484: if (flg_row) {
7485: PetscCall(PCBDDCSetLocalAdjacencyGraph(pc, nvtxs, xadj, adjncy, PETSC_COPY_VALUES));
7486: pcbddc->computed_rowadj = PETSC_TRUE;
7487: PetscCall(MatRestoreRowIJ(A, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, (const PetscInt **)&xadj, (const PetscInt **)&adjncy, &flg_row));
7488: rcsr = PETSC_TRUE;
7489: }
7490: PetscCall(MatDestroy(&A));
7491: }
7492: if (pcbddc->dbg_flag) PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
7494: if (pcbddc->mat_graph->cdim && !pcbddc->mat_graph->cloc) {
7495: PetscReal *lcoords;
7496: PetscInt n;
7497: MPI_Datatype dimrealtype;
7499: /* TODO: support for blocked */
7500: PetscCheck(pcbddc->mat_graph->cnloc == pc->pmat->rmap->n, PETSC_COMM_SELF, PETSC_ERR_USER, "Invalid number of local coordinates! Got %" PetscInt_FMT ", expected %" PetscInt_FMT, pcbddc->mat_graph->cnloc, pc->pmat->rmap->n);
7501: PetscCall(MatGetLocalSize(matis->A, &n, NULL));
7502: PetscCall(PetscMalloc1(pcbddc->mat_graph->cdim * n, &lcoords));
7503: PetscCallMPI(MPI_Type_contiguous(pcbddc->mat_graph->cdim, MPIU_REAL, &dimrealtype));
7504: PetscCallMPI(MPI_Type_commit(&dimrealtype));
7505: PetscCall(PetscSFBcastBegin(matis->sf, dimrealtype, pcbddc->mat_graph->coords, lcoords, MPI_REPLACE));
7506: PetscCall(PetscSFBcastEnd(matis->sf, dimrealtype, pcbddc->mat_graph->coords, lcoords, MPI_REPLACE));
7507: PetscCallMPI(MPI_Type_free(&dimrealtype));
7508: PetscCall(PetscFree(pcbddc->mat_graph->coords));
7510: pcbddc->mat_graph->coords = lcoords;
7511: pcbddc->mat_graph->cloc = PETSC_TRUE;
7512: pcbddc->mat_graph->cnloc = n;
7513: }
7514: 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,
7515: pcbddc->mat_graph->nvtxs);
7516: pcbddc->mat_graph->active_coords = (PetscBool)(pcbddc->corner_selection && pcbddc->mat_graph->cdim && !pcbddc->corner_selected);
7518: /* attach info on disconnected subdomains if present */
7519: if (pcbddc->n_local_subs) {
7520: PetscInt *local_subs, n, totn;
7522: PetscCall(MatGetLocalSize(matis->A, &n, NULL));
7523: PetscCall(PetscMalloc1(n, &local_subs));
7524: for (i = 0; i < n; i++) local_subs[i] = pcbddc->n_local_subs;
7525: for (i = 0; i < pcbddc->n_local_subs; i++) {
7526: const PetscInt *idxs;
7527: PetscInt nl, j;
7529: PetscCall(ISGetLocalSize(pcbddc->local_subs[i], &nl));
7530: PetscCall(ISGetIndices(pcbddc->local_subs[i], &idxs));
7531: for (j = 0; j < nl; j++) local_subs[idxs[j]] = i;
7532: PetscCall(ISRestoreIndices(pcbddc->local_subs[i], &idxs));
7533: }
7534: for (i = 0, totn = 0; i < n; i++) totn = PetscMax(totn, local_subs[i]);
7535: pcbddc->mat_graph->n_local_subs = totn + 1;
7536: pcbddc->mat_graph->local_subs = local_subs;
7537: }
7539: /* Setup of Graph */
7540: PetscCall(PCBDDCGraphSetUp(pcbddc->mat_graph, pcbddc->vertex_size, pcbddc->NeumannBoundariesLocal, pcbddc->DirichletBoundariesLocal, pcbddc->n_ISForDofsLocal, pcbddc->ISForDofsLocal, pcbddc->user_primal_vertices_local));
7541: }
7543: if (!pcbddc->graphanalyzed) {
7544: /* Graph's connected components analysis */
7545: PetscCall(PCBDDCGraphComputeConnectedComponents(pcbddc->mat_graph));
7546: pcbddc->graphanalyzed = PETSC_TRUE;
7547: pcbddc->corner_selected = pcbddc->corner_selection;
7548: }
7549: if (rcsr) pcbddc->mat_graph->nvtxs_csr = 0;
7550: PetscFunctionReturn(PETSC_SUCCESS);
7551: }
7553: PetscErrorCode PCBDDCOrthonormalizeVecs(PetscInt *nio, Vec vecs[])
7554: {
7555: PetscInt i, j, n;
7556: PetscScalar *alphas;
7557: PetscReal norm, *onorms;
7559: PetscFunctionBegin;
7560: n = *nio;
7561: if (!n) PetscFunctionReturn(PETSC_SUCCESS);
7562: PetscCall(PetscMalloc2(n, &alphas, n, &onorms));
7563: PetscCall(VecNormalize(vecs[0], &norm));
7564: if (norm < PETSC_SMALL) {
7565: onorms[0] = 0.0;
7566: PetscCall(VecSet(vecs[0], 0.0));
7567: } else {
7568: onorms[0] = norm;
7569: }
7571: for (i = 1; i < n; i++) {
7572: PetscCall(VecMDot(vecs[i], i, vecs, alphas));
7573: for (j = 0; j < i; j++) alphas[j] = PetscConj(-alphas[j]);
7574: PetscCall(VecMAXPY(vecs[i], i, alphas, vecs));
7575: PetscCall(VecNormalize(vecs[i], &norm));
7576: if (norm < PETSC_SMALL) {
7577: onorms[i] = 0.0;
7578: PetscCall(VecSet(vecs[i], 0.0));
7579: } else {
7580: onorms[i] = norm;
7581: }
7582: }
7583: /* push nonzero vectors at the beginning */
7584: for (i = 0; i < n; i++) {
7585: if (onorms[i] == 0.0) {
7586: for (j = i + 1; j < n; j++) {
7587: if (onorms[j] != 0.0) {
7588: PetscCall(VecCopy(vecs[j], vecs[i]));
7589: onorms[j] = 0.0;
7590: }
7591: }
7592: }
7593: }
7594: for (i = 0, *nio = 0; i < n; i++) *nio += onorms[i] != 0.0 ? 1 : 0;
7595: PetscCall(PetscFree2(alphas, onorms));
7596: PetscFunctionReturn(PETSC_SUCCESS);
7597: }
7599: static PetscErrorCode PCBDDCMatISGetSubassemblingPattern(Mat mat, PetscInt *n_subdomains, PetscInt redprocs, IS *is_sends, PetscBool *have_void)
7600: {
7601: ISLocalToGlobalMapping mapping;
7602: Mat A;
7603: PetscInt n_neighs, *neighs, *n_shared, **shared;
7604: PetscMPIInt size, rank, color;
7605: PetscInt *xadj, *adjncy;
7606: PetscInt *adjncy_wgt, *v_wgt, *ranks_send_to_idx;
7607: PetscInt im_active, active_procs, N, n, i, j, threshold = 2;
7608: PetscInt void_procs, *procs_candidates = NULL;
7609: PetscInt xadj_count, *count;
7610: PetscBool ismatis, use_vwgt = PETSC_FALSE;
7611: PetscSubcomm psubcomm;
7612: MPI_Comm subcomm;
7614: PetscFunctionBegin;
7616: PetscCall(PetscObjectTypeCompare((PetscObject)mat, MATIS, &ismatis));
7617: PetscCheck(ismatis, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot use %s on a matrix object which is not of type MATIS", PETSC_FUNCTION_NAME);
7620: PetscCheck(*n_subdomains > 0, PetscObjectComm((PetscObject)mat), PETSC_ERR_ARG_WRONG, "Invalid number of subdomains requested %" PetscInt_FMT, *n_subdomains);
7622: if (have_void) *have_void = PETSC_FALSE;
7623: PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)mat), &size));
7624: PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)mat), &rank));
7625: PetscCall(MatISGetLocalMat(mat, &A));
7626: PetscCall(MatGetLocalSize(A, &n, NULL));
7627: im_active = !!n;
7628: PetscCall(MPIU_Allreduce(&im_active, &active_procs, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)mat)));
7629: void_procs = size - active_procs;
7630: /* get ranks of non-active processes in mat communicator */
7631: if (void_procs) {
7632: PetscInt ncand;
7634: if (have_void) *have_void = PETSC_TRUE;
7635: PetscCall(PetscMalloc1(size, &procs_candidates));
7636: PetscCallMPI(MPI_Allgather(&im_active, 1, MPIU_INT, procs_candidates, 1, MPIU_INT, PetscObjectComm((PetscObject)mat)));
7637: for (i = 0, ncand = 0; i < size; i++) {
7638: if (!procs_candidates[i]) procs_candidates[ncand++] = i;
7639: }
7640: /* force n_subdomains to be not greater that the number of non-active processes */
7641: *n_subdomains = PetscMin(void_procs, *n_subdomains);
7642: }
7644: /* number of subdomains requested greater than active processes or matrix size -> just shift the matrix
7645: number of subdomains requested 1 -> send to rank-0 or first candidate in voids */
7646: PetscCall(MatGetSize(mat, &N, NULL));
7647: if (active_procs < *n_subdomains || *n_subdomains == 1 || N <= *n_subdomains) {
7648: PetscInt issize, isidx, dest;
7649: if (*n_subdomains == 1) dest = 0;
7650: else dest = rank;
7651: if (im_active) {
7652: issize = 1;
7653: if (procs_candidates) { /* shift the pattern on non-active candidates (if any) */
7654: isidx = procs_candidates[dest];
7655: } else {
7656: isidx = dest;
7657: }
7658: } else {
7659: issize = 0;
7660: isidx = -1;
7661: }
7662: if (*n_subdomains != 1) *n_subdomains = active_procs;
7663: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)mat), issize, &isidx, PETSC_COPY_VALUES, is_sends));
7664: PetscCall(PetscFree(procs_candidates));
7665: PetscFunctionReturn(PETSC_SUCCESS);
7666: }
7667: PetscCall(PetscOptionsGetBool(NULL, ((PetscObject)A)->prefix, "-mat_is_partitioning_use_vwgt", &use_vwgt, NULL));
7668: PetscCall(PetscOptionsGetInt(NULL, ((PetscObject)A)->prefix, "-mat_is_partitioning_threshold", &threshold, NULL));
7669: threshold = PetscMax(threshold, 2);
7671: /* Get info on mapping */
7672: PetscCall(MatISGetLocalToGlobalMapping(mat, &mapping, NULL));
7673: PetscCall(ISLocalToGlobalMappingGetInfo(mapping, &n_neighs, &neighs, &n_shared, &shared));
7675: /* build local CSR graph of subdomains' connectivity */
7676: PetscCall(PetscMalloc1(2, &xadj));
7677: xadj[0] = 0;
7678: xadj[1] = PetscMax(n_neighs - 1, 0);
7679: PetscCall(PetscMalloc1(xadj[1], &adjncy));
7680: PetscCall(PetscMalloc1(xadj[1], &adjncy_wgt));
7681: PetscCall(PetscCalloc1(n, &count));
7682: for (i = 1; i < n_neighs; i++)
7683: for (j = 0; j < n_shared[i]; j++) count[shared[i][j]] += 1;
7685: xadj_count = 0;
7686: for (i = 1; i < n_neighs; i++) {
7687: for (j = 0; j < n_shared[i]; j++) {
7688: if (count[shared[i][j]] < threshold) {
7689: adjncy[xadj_count] = neighs[i];
7690: adjncy_wgt[xadj_count] = n_shared[i];
7691: xadj_count++;
7692: break;
7693: }
7694: }
7695: }
7696: xadj[1] = xadj_count;
7697: PetscCall(PetscFree(count));
7698: PetscCall(ISLocalToGlobalMappingRestoreInfo(mapping, &n_neighs, &neighs, &n_shared, &shared));
7699: PetscCall(PetscSortIntWithArray(xadj[1], adjncy, adjncy_wgt));
7701: PetscCall(PetscMalloc1(1, &ranks_send_to_idx));
7703: /* Restrict work on active processes only */
7704: PetscCall(PetscMPIIntCast(im_active, &color));
7705: if (void_procs) {
7706: PetscCall(PetscSubcommCreate(PetscObjectComm((PetscObject)mat), &psubcomm));
7707: PetscCall(PetscSubcommSetNumber(psubcomm, 2)); /* 2 groups, active process and not active processes */
7708: PetscCall(PetscSubcommSetTypeGeneral(psubcomm, color, rank));
7709: subcomm = PetscSubcommChild(psubcomm);
7710: } else {
7711: psubcomm = NULL;
7712: subcomm = PetscObjectComm((PetscObject)mat);
7713: }
7715: v_wgt = NULL;
7716: if (!color) {
7717: PetscCall(PetscFree(xadj));
7718: PetscCall(PetscFree(adjncy));
7719: PetscCall(PetscFree(adjncy_wgt));
7720: } else {
7721: Mat subdomain_adj;
7722: IS new_ranks, new_ranks_contig;
7723: MatPartitioning partitioner;
7724: PetscInt rstart = 0, rend = 0;
7725: PetscInt *is_indices, *oldranks;
7726: PetscMPIInt size;
7727: PetscBool aggregate;
7729: PetscCallMPI(MPI_Comm_size(subcomm, &size));
7730: if (void_procs) {
7731: PetscInt prank = rank;
7732: PetscCall(PetscMalloc1(size, &oldranks));
7733: PetscCallMPI(MPI_Allgather(&prank, 1, MPIU_INT, oldranks, 1, MPIU_INT, subcomm));
7734: for (i = 0; i < xadj[1]; i++) PetscCall(PetscFindInt(adjncy[i], size, oldranks, &adjncy[i]));
7735: PetscCall(PetscSortIntWithArray(xadj[1], adjncy, adjncy_wgt));
7736: } else {
7737: oldranks = NULL;
7738: }
7739: aggregate = ((redprocs > 0 && redprocs < size) ? PETSC_TRUE : PETSC_FALSE);
7740: if (aggregate) { /* TODO: all this part could be made more efficient */
7741: PetscInt lrows, row, ncols, *cols;
7742: PetscMPIInt nrank;
7743: PetscScalar *vals;
7745: PetscCallMPI(MPI_Comm_rank(subcomm, &nrank));
7746: lrows = 0;
7747: if (nrank < redprocs) {
7748: lrows = size / redprocs;
7749: if (nrank < size % redprocs) lrows++;
7750: }
7751: PetscCall(MatCreateAIJ(subcomm, lrows, lrows, size, size, 50, NULL, 50, NULL, &subdomain_adj));
7752: PetscCall(MatGetOwnershipRange(subdomain_adj, &rstart, &rend));
7753: PetscCall(MatSetOption(subdomain_adj, MAT_NEW_NONZERO_LOCATION_ERR, PETSC_FALSE));
7754: PetscCall(MatSetOption(subdomain_adj, MAT_NEW_NONZERO_ALLOCATION_ERR, PETSC_FALSE));
7755: row = nrank;
7756: ncols = xadj[1] - xadj[0];
7757: cols = adjncy;
7758: PetscCall(PetscMalloc1(ncols, &vals));
7759: for (i = 0; i < ncols; i++) vals[i] = adjncy_wgt[i];
7760: PetscCall(MatSetValues(subdomain_adj, 1, &row, ncols, cols, vals, INSERT_VALUES));
7761: PetscCall(MatAssemblyBegin(subdomain_adj, MAT_FINAL_ASSEMBLY));
7762: PetscCall(MatAssemblyEnd(subdomain_adj, MAT_FINAL_ASSEMBLY));
7763: PetscCall(PetscFree(xadj));
7764: PetscCall(PetscFree(adjncy));
7765: PetscCall(PetscFree(adjncy_wgt));
7766: PetscCall(PetscFree(vals));
7767: if (use_vwgt) {
7768: Vec v;
7769: const PetscScalar *array;
7770: PetscInt nl;
7772: PetscCall(MatCreateVecs(subdomain_adj, &v, NULL));
7773: PetscCall(VecSetValue(v, row, (PetscScalar)n, INSERT_VALUES));
7774: PetscCall(VecAssemblyBegin(v));
7775: PetscCall(VecAssemblyEnd(v));
7776: PetscCall(VecGetLocalSize(v, &nl));
7777: PetscCall(VecGetArrayRead(v, &array));
7778: PetscCall(PetscMalloc1(nl, &v_wgt));
7779: for (i = 0; i < nl; i++) v_wgt[i] = (PetscInt)PetscRealPart(array[i]);
7780: PetscCall(VecRestoreArrayRead(v, &array));
7781: PetscCall(VecDestroy(&v));
7782: }
7783: } else {
7784: PetscCall(MatCreateMPIAdj(subcomm, 1, (PetscInt)size, xadj, adjncy, adjncy_wgt, &subdomain_adj));
7785: if (use_vwgt) {
7786: PetscCall(PetscMalloc1(1, &v_wgt));
7787: v_wgt[0] = n;
7788: }
7789: }
7790: /* PetscCall(MatView(subdomain_adj,0)); */
7792: /* Partition */
7793: PetscCall(MatPartitioningCreate(subcomm, &partitioner));
7794: #if defined(PETSC_HAVE_PTSCOTCH)
7795: PetscCall(MatPartitioningSetType(partitioner, MATPARTITIONINGPTSCOTCH));
7796: #elif defined(PETSC_HAVE_PARMETIS)
7797: PetscCall(MatPartitioningSetType(partitioner, MATPARTITIONINGPARMETIS));
7798: #else
7799: PetscCall(MatPartitioningSetType(partitioner, MATPARTITIONINGAVERAGE));
7800: #endif
7801: PetscCall(MatPartitioningSetAdjacency(partitioner, subdomain_adj));
7802: if (v_wgt) PetscCall(MatPartitioningSetVertexWeights(partitioner, v_wgt));
7803: *n_subdomains = PetscMin((PetscInt)size, *n_subdomains);
7804: PetscCall(MatPartitioningSetNParts(partitioner, *n_subdomains));
7805: PetscCall(MatPartitioningSetFromOptions(partitioner));
7806: PetscCall(MatPartitioningApply(partitioner, &new_ranks));
7807: /* PetscCall(MatPartitioningView(partitioner,0)); */
7809: /* renumber new_ranks to avoid "holes" in new set of processors */
7810: PetscCall(ISRenumber(new_ranks, NULL, NULL, &new_ranks_contig));
7811: PetscCall(ISDestroy(&new_ranks));
7812: PetscCall(ISGetIndices(new_ranks_contig, (const PetscInt **)&is_indices));
7813: if (!aggregate) {
7814: if (procs_candidates) { /* shift the pattern on non-active candidates (if any) */
7815: PetscAssert(oldranks, PETSC_COMM_SELF, PETSC_ERR_PLIB, "This should not happen");
7816: ranks_send_to_idx[0] = procs_candidates[oldranks[is_indices[0]]];
7817: } else if (oldranks) {
7818: ranks_send_to_idx[0] = oldranks[is_indices[0]];
7819: } else {
7820: ranks_send_to_idx[0] = is_indices[0];
7821: }
7822: } else {
7823: PetscInt idx = 0;
7824: PetscMPIInt tag;
7825: MPI_Request *reqs;
7827: PetscCall(PetscObjectGetNewTag((PetscObject)subdomain_adj, &tag));
7828: PetscCall(PetscMalloc1(rend - rstart, &reqs));
7829: for (i = rstart; i < rend; i++) PetscCallMPI(MPI_Isend(is_indices + i - rstart, 1, MPIU_INT, i, tag, subcomm, &reqs[i - rstart]));
7830: PetscCallMPI(MPI_Recv(&idx, 1, MPIU_INT, MPI_ANY_SOURCE, tag, subcomm, MPI_STATUS_IGNORE));
7831: PetscCallMPI(MPI_Waitall(rend - rstart, reqs, MPI_STATUSES_IGNORE));
7832: PetscCall(PetscFree(reqs));
7833: if (procs_candidates) { /* shift the pattern on non-active candidates (if any) */
7834: PetscAssert(oldranks, PETSC_COMM_SELF, PETSC_ERR_PLIB, "This should not happen");
7835: ranks_send_to_idx[0] = procs_candidates[oldranks[idx]];
7836: } else if (oldranks) {
7837: ranks_send_to_idx[0] = oldranks[idx];
7838: } else {
7839: ranks_send_to_idx[0] = idx;
7840: }
7841: }
7842: PetscCall(ISRestoreIndices(new_ranks_contig, (const PetscInt **)&is_indices));
7843: /* clean up */
7844: PetscCall(PetscFree(oldranks));
7845: PetscCall(ISDestroy(&new_ranks_contig));
7846: PetscCall(MatDestroy(&subdomain_adj));
7847: PetscCall(MatPartitioningDestroy(&partitioner));
7848: }
7849: PetscCall(PetscSubcommDestroy(&psubcomm));
7850: PetscCall(PetscFree(procs_candidates));
7852: /* assemble parallel IS for sends */
7853: i = 1;
7854: if (!color) i = 0;
7855: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)mat), i, ranks_send_to_idx, PETSC_OWN_POINTER, is_sends));
7856: PetscFunctionReturn(PETSC_SUCCESS);
7857: }
7859: typedef enum {
7860: MATDENSE_PRIVATE = 0,
7861: MATAIJ_PRIVATE,
7862: MATBAIJ_PRIVATE,
7863: MATSBAIJ_PRIVATE
7864: } MatTypePrivate;
7866: 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[])
7867: {
7868: Mat local_mat;
7869: IS is_sends_internal;
7870: PetscInt rows, cols, new_local_rows;
7871: PetscInt i, bs, buf_size_idxs, buf_size_idxs_is, buf_size_vals, buf_size_vecs;
7872: PetscBool ismatis, isdense, newisdense, destroy_mat;
7873: ISLocalToGlobalMapping l2gmap;
7874: PetscInt *l2gmap_indices;
7875: const PetscInt *is_indices;
7876: MatType new_local_type;
7877: /* buffers */
7878: PetscInt *ptr_idxs, *send_buffer_idxs, *recv_buffer_idxs;
7879: PetscInt *ptr_idxs_is, *send_buffer_idxs_is, *recv_buffer_idxs_is;
7880: PetscInt *recv_buffer_idxs_local;
7881: PetscScalar *ptr_vals, *recv_buffer_vals;
7882: const PetscScalar *send_buffer_vals;
7883: PetscScalar *ptr_vecs, *send_buffer_vecs, *recv_buffer_vecs;
7884: /* MPI */
7885: MPI_Comm comm, comm_n;
7886: PetscSubcomm subcomm;
7887: PetscMPIInt n_sends, n_recvs, size;
7888: PetscMPIInt *iflags, *ilengths_idxs, *ilengths_vals, *ilengths_idxs_is;
7889: PetscMPIInt *onodes, *onodes_is, *olengths_idxs, *olengths_idxs_is, *olengths_vals;
7890: PetscMPIInt len, tag_idxs, tag_idxs_is, tag_vals, tag_vecs, source_dest;
7891: MPI_Request *send_req_idxs, *send_req_idxs_is, *send_req_vals, *send_req_vecs;
7892: MPI_Request *recv_req_idxs, *recv_req_idxs_is, *recv_req_vals, *recv_req_vecs;
7894: PetscFunctionBegin;
7896: PetscCall(PetscObjectTypeCompare((PetscObject)mat, MATIS, &ismatis));
7897: PetscCheck(ismatis, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot use %s on a matrix object which is not of type MATIS", PETSC_FUNCTION_NAME);
7904: if (nvecs) {
7905: PetscCheck(nvecs <= 1, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Just 1 vector supported");
7907: }
7908: /* further checks */
7909: PetscCall(MatISGetLocalMat(mat, &local_mat));
7910: PetscCall(PetscObjectTypeCompare((PetscObject)local_mat, MATSEQDENSE, &isdense));
7911: /* XXX hack for multi_element */
7912: if (!isdense) PetscCall(MatConvert(local_mat, MATDENSE, MAT_INPLACE_MATRIX, &local_mat));
7913: PetscCall(PetscObjectTypeCompare((PetscObject)local_mat, MATSEQDENSE, &isdense));
7914: PetscCheck(isdense, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Currently cannot subassemble MATIS when local matrix type is not of type SEQDENSE");
7916: PetscCall(MatGetSize(local_mat, &rows, &cols));
7917: PetscCheck(rows == cols, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Local MATIS matrices should be square");
7918: if (reuse && *mat_n) {
7919: PetscInt mrows, mcols, mnrows, mncols;
7921: PetscCall(PetscObjectTypeCompare((PetscObject)*mat_n, MATIS, &ismatis));
7922: PetscCheck(ismatis, PetscObjectComm((PetscObject)*mat_n), PETSC_ERR_SUP, "Cannot reuse a matrix which is not of type MATIS");
7923: PetscCall(MatGetSize(mat, &mrows, &mcols));
7924: PetscCall(MatGetSize(*mat_n, &mnrows, &mncols));
7925: PetscCheck(mrows == mnrows, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot reuse matrix! Wrong number of rows %" PetscInt_FMT " != %" PetscInt_FMT, mrows, mnrows);
7926: PetscCheck(mcols == mncols, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Cannot reuse matrix! Wrong number of cols %" PetscInt_FMT " != %" PetscInt_FMT, mcols, mncols);
7927: }
7928: PetscCall(MatGetBlockSize(local_mat, &bs));
7931: /* prepare IS for sending if not provided */
7932: if (!is_sends) {
7933: PetscCheck(n_subdomains, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "You should specify either an IS or a target number of subdomains");
7934: PetscCall(PCBDDCMatISGetSubassemblingPattern(mat, &n_subdomains, 0, &is_sends_internal, NULL));
7935: } else {
7936: PetscCall(PetscObjectReference((PetscObject)is_sends));
7937: is_sends_internal = is_sends;
7938: }
7940: /* get comm */
7941: PetscCall(PetscObjectGetComm((PetscObject)mat, &comm));
7943: /* compute number of sends */
7944: PetscCall(ISGetLocalSize(is_sends_internal, &i));
7945: PetscCall(PetscMPIIntCast(i, &n_sends));
7947: /* compute number of receives */
7948: PetscCallMPI(MPI_Comm_size(comm, &size));
7949: PetscCall(PetscMalloc1(size, &iflags));
7950: PetscCall(PetscArrayzero(iflags, size));
7951: PetscCall(ISGetIndices(is_sends_internal, &is_indices));
7952: for (i = 0; i < n_sends; i++) iflags[is_indices[i]] = 1;
7953: PetscCall(PetscGatherNumberOfMessages(comm, iflags, NULL, &n_recvs));
7954: PetscCall(PetscFree(iflags));
7956: /* restrict comm if requested */
7957: subcomm = NULL;
7958: destroy_mat = PETSC_FALSE;
7959: if (restrict_comm) {
7960: PetscMPIInt color, subcommsize;
7962: color = 0;
7963: if (restrict_full) {
7964: if (!n_recvs) color = 1; /* processes not receiving anything will not participate in new comm (full restriction) */
7965: } else {
7966: if (!n_recvs && n_sends) color = 1; /* just those processes that are sending but not receiving anything will not participate in new comm */
7967: }
7968: PetscCall(MPIU_Allreduce(&color, &subcommsize, 1, MPI_INT, MPI_SUM, comm));
7969: subcommsize = size - subcommsize;
7970: /* check if reuse has been requested */
7971: if (reuse) {
7972: if (*mat_n) {
7973: PetscMPIInt subcommsize2;
7974: PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)*mat_n), &subcommsize2));
7975: PetscCheck(subcommsize == subcommsize2, PetscObjectComm((PetscObject)*mat_n), PETSC_ERR_PLIB, "Cannot reuse matrix! wrong subcomm size %d != %d", subcommsize, subcommsize2);
7976: comm_n = PetscObjectComm((PetscObject)*mat_n);
7977: } else {
7978: comm_n = PETSC_COMM_SELF;
7979: }
7980: } else { /* MAT_INITIAL_MATRIX */
7981: PetscMPIInt rank;
7983: PetscCallMPI(MPI_Comm_rank(comm, &rank));
7984: PetscCall(PetscSubcommCreate(comm, &subcomm));
7985: PetscCall(PetscSubcommSetNumber(subcomm, 2));
7986: PetscCall(PetscSubcommSetTypeGeneral(subcomm, color, rank));
7987: comm_n = PetscSubcommChild(subcomm);
7988: }
7989: /* flag to destroy *mat_n if not significative */
7990: if (color) destroy_mat = PETSC_TRUE;
7991: } else {
7992: comm_n = comm;
7993: }
7995: /* prepare send/receive buffers */
7996: PetscCall(PetscMalloc1(size, &ilengths_idxs));
7997: PetscCall(PetscArrayzero(ilengths_idxs, size));
7998: PetscCall(PetscMalloc1(size, &ilengths_vals));
7999: PetscCall(PetscArrayzero(ilengths_vals, size));
8000: if (nis) PetscCall(PetscCalloc1(size, &ilengths_idxs_is));
8002: /* Get data from local matrices */
8003: PetscCheck(isdense, PetscObjectComm((PetscObject)mat), PETSC_ERR_SUP, "Subassembling of AIJ local matrices not yet implemented");
8004: /* TODO: See below some guidelines on how to prepare the local buffers */
8005: /*
8006: send_buffer_vals should contain the raw values of the local matrix
8007: send_buffer_idxs should contain:
8008: - MatType_PRIVATE type
8009: - PetscInt size_of_l2gmap
8010: - PetscInt global_row_indices[size_of_l2gmap]
8011: - PetscInt all_other_info_which_is_needed_to_compute_preallocation_and_set_values
8012: */
8013: {
8014: ISLocalToGlobalMapping mapping;
8016: PetscCall(MatISGetLocalToGlobalMapping(mat, &mapping, NULL));
8017: PetscCall(MatDenseGetArrayRead(local_mat, &send_buffer_vals));
8018: PetscCall(ISLocalToGlobalMappingGetSize(mapping, &i));
8019: PetscCall(PetscMalloc1(i + 2, &send_buffer_idxs));
8020: send_buffer_idxs[0] = (PetscInt)MATDENSE_PRIVATE;
8021: send_buffer_idxs[1] = i;
8022: PetscCall(ISLocalToGlobalMappingGetIndices(mapping, (const PetscInt **)&ptr_idxs));
8023: PetscCall(PetscArraycpy(&send_buffer_idxs[2], ptr_idxs, i));
8024: PetscCall(ISLocalToGlobalMappingRestoreIndices(mapping, (const PetscInt **)&ptr_idxs));
8025: PetscCall(PetscMPIIntCast(i, &len));
8026: for (i = 0; i < n_sends; i++) {
8027: ilengths_vals[is_indices[i]] = len * len;
8028: ilengths_idxs[is_indices[i]] = len + 2;
8029: }
8030: }
8031: PetscCall(PetscGatherMessageLengths2(comm, n_sends, n_recvs, ilengths_idxs, ilengths_vals, &onodes, &olengths_idxs, &olengths_vals));
8032: /* additional is (if any) */
8033: if (nis) {
8034: PetscMPIInt psum;
8035: PetscInt j;
8036: for (j = 0, psum = 0; j < nis; j++) {
8037: PetscInt plen;
8038: PetscCall(ISGetLocalSize(isarray[j], &plen));
8039: PetscCall(PetscMPIIntCast(plen, &len));
8040: psum += len + 1; /* indices + length */
8041: }
8042: PetscCall(PetscMalloc1(psum, &send_buffer_idxs_is));
8043: for (j = 0, psum = 0; j < nis; j++) {
8044: PetscInt plen;
8045: const PetscInt *is_array_idxs;
8046: PetscCall(ISGetLocalSize(isarray[j], &plen));
8047: send_buffer_idxs_is[psum] = plen;
8048: PetscCall(ISGetIndices(isarray[j], &is_array_idxs));
8049: PetscCall(PetscArraycpy(&send_buffer_idxs_is[psum + 1], is_array_idxs, plen));
8050: PetscCall(ISRestoreIndices(isarray[j], &is_array_idxs));
8051: psum += plen + 1; /* indices + length */
8052: }
8053: for (i = 0; i < n_sends; i++) ilengths_idxs_is[is_indices[i]] = psum;
8054: PetscCall(PetscGatherMessageLengths(comm, n_sends, n_recvs, ilengths_idxs_is, &onodes_is, &olengths_idxs_is));
8055: }
8056: PetscCall(MatISRestoreLocalMat(mat, &local_mat));
8058: buf_size_idxs = 0;
8059: buf_size_vals = 0;
8060: buf_size_idxs_is = 0;
8061: buf_size_vecs = 0;
8062: for (i = 0; i < n_recvs; i++) {
8063: buf_size_idxs += (PetscInt)olengths_idxs[i];
8064: buf_size_vals += (PetscInt)olengths_vals[i];
8065: if (nis) buf_size_idxs_is += (PetscInt)olengths_idxs_is[i];
8066: if (nvecs) buf_size_vecs += (PetscInt)olengths_idxs[i];
8067: }
8068: PetscCall(PetscMalloc1(buf_size_idxs, &recv_buffer_idxs));
8069: PetscCall(PetscMalloc1(buf_size_vals, &recv_buffer_vals));
8070: PetscCall(PetscMalloc1(buf_size_idxs_is, &recv_buffer_idxs_is));
8071: PetscCall(PetscMalloc1(buf_size_vecs, &recv_buffer_vecs));
8073: /* get new tags for clean communications */
8074: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_idxs));
8075: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_vals));
8076: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_idxs_is));
8077: PetscCall(PetscObjectGetNewTag((PetscObject)mat, &tag_vecs));
8079: /* allocate for requests */
8080: PetscCall(PetscMalloc1(n_sends, &send_req_idxs));
8081: PetscCall(PetscMalloc1(n_sends, &send_req_vals));
8082: PetscCall(PetscMalloc1(n_sends, &send_req_idxs_is));
8083: PetscCall(PetscMalloc1(n_sends, &send_req_vecs));
8084: PetscCall(PetscMalloc1(n_recvs, &recv_req_idxs));
8085: PetscCall(PetscMalloc1(n_recvs, &recv_req_vals));
8086: PetscCall(PetscMalloc1(n_recvs, &recv_req_idxs_is));
8087: PetscCall(PetscMalloc1(n_recvs, &recv_req_vecs));
8089: /* communications */
8090: ptr_idxs = recv_buffer_idxs;
8091: ptr_vals = recv_buffer_vals;
8092: ptr_idxs_is = recv_buffer_idxs_is;
8093: ptr_vecs = recv_buffer_vecs;
8094: for (i = 0; i < n_recvs; i++) {
8095: source_dest = onodes[i];
8096: PetscCallMPI(MPI_Irecv(ptr_idxs, olengths_idxs[i], MPIU_INT, source_dest, tag_idxs, comm, &recv_req_idxs[i]));
8097: PetscCallMPI(MPI_Irecv(ptr_vals, olengths_vals[i], MPIU_SCALAR, source_dest, tag_vals, comm, &recv_req_vals[i]));
8098: ptr_idxs += olengths_idxs[i];
8099: ptr_vals += olengths_vals[i];
8100: if (nis) {
8101: source_dest = onodes_is[i];
8102: PetscCallMPI(MPI_Irecv(ptr_idxs_is, olengths_idxs_is[i], MPIU_INT, source_dest, tag_idxs_is, comm, &recv_req_idxs_is[i]));
8103: ptr_idxs_is += olengths_idxs_is[i];
8104: }
8105: if (nvecs) {
8106: source_dest = onodes[i];
8107: PetscCallMPI(MPI_Irecv(ptr_vecs, olengths_idxs[i] - 2, MPIU_SCALAR, source_dest, tag_vecs, comm, &recv_req_vecs[i]));
8108: ptr_vecs += olengths_idxs[i] - 2;
8109: }
8110: }
8111: for (i = 0; i < n_sends; i++) {
8112: PetscCall(PetscMPIIntCast(is_indices[i], &source_dest));
8113: PetscCallMPI(MPI_Isend(send_buffer_idxs, ilengths_idxs[source_dest], MPIU_INT, source_dest, tag_idxs, comm, &send_req_idxs[i]));
8114: PetscCallMPI(MPI_Isend((PetscScalar *)send_buffer_vals, ilengths_vals[source_dest], MPIU_SCALAR, source_dest, tag_vals, comm, &send_req_vals[i]));
8115: if (nis) PetscCallMPI(MPI_Isend(send_buffer_idxs_is, ilengths_idxs_is[source_dest], MPIU_INT, source_dest, tag_idxs_is, comm, &send_req_idxs_is[i]));
8116: if (nvecs) {
8117: PetscCall(VecGetArray(nnsp_vec[0], &send_buffer_vecs));
8118: PetscCallMPI(MPI_Isend(send_buffer_vecs, ilengths_idxs[source_dest] - 2, MPIU_SCALAR, source_dest, tag_vecs, comm, &send_req_vecs[i]));
8119: }
8120: }
8121: PetscCall(ISRestoreIndices(is_sends_internal, &is_indices));
8122: PetscCall(ISDestroy(&is_sends_internal));
8124: /* assemble new l2g map */
8125: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_idxs, MPI_STATUSES_IGNORE));
8126: ptr_idxs = recv_buffer_idxs;
8127: new_local_rows = 0;
8128: for (i = 0; i < n_recvs; i++) {
8129: new_local_rows += *(ptr_idxs + 1); /* second element is the local size of the l2gmap */
8130: ptr_idxs += olengths_idxs[i];
8131: }
8132: PetscCall(PetscMalloc1(new_local_rows, &l2gmap_indices));
8133: ptr_idxs = recv_buffer_idxs;
8134: new_local_rows = 0;
8135: for (i = 0; i < n_recvs; i++) {
8136: PetscCall(PetscArraycpy(&l2gmap_indices[new_local_rows], ptr_idxs + 2, *(ptr_idxs + 1)));
8137: new_local_rows += *(ptr_idxs + 1); /* second element is the local size of the l2gmap */
8138: ptr_idxs += olengths_idxs[i];
8139: }
8140: PetscCall(PetscSortRemoveDupsInt(&new_local_rows, l2gmap_indices));
8141: PetscCall(ISLocalToGlobalMappingCreate(comm_n, 1, new_local_rows, l2gmap_indices, PETSC_COPY_VALUES, &l2gmap));
8142: PetscCall(PetscFree(l2gmap_indices));
8144: /* infer new local matrix type from received local matrices type */
8145: /* currently if all local matrices are of type X, then the resulting matrix will be of type X, except for the dense case */
8146: /* 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) */
8147: if (n_recvs) {
8148: MatTypePrivate new_local_type_private = (MatTypePrivate)send_buffer_idxs[0];
8149: ptr_idxs = recv_buffer_idxs;
8150: for (i = 0; i < n_recvs; i++) {
8151: if ((PetscInt)new_local_type_private != *ptr_idxs) {
8152: new_local_type_private = MATAIJ_PRIVATE;
8153: break;
8154: }
8155: ptr_idxs += olengths_idxs[i];
8156: }
8157: switch (new_local_type_private) {
8158: case MATDENSE_PRIVATE:
8159: new_local_type = MATSEQAIJ;
8160: bs = 1;
8161: break;
8162: case MATAIJ_PRIVATE:
8163: new_local_type = MATSEQAIJ;
8164: bs = 1;
8165: break;
8166: case MATBAIJ_PRIVATE:
8167: new_local_type = MATSEQBAIJ;
8168: break;
8169: case MATSBAIJ_PRIVATE:
8170: new_local_type = MATSEQSBAIJ;
8171: break;
8172: default:
8173: SETERRQ(comm, PETSC_ERR_SUP, "Unsupported private type %d in %s", new_local_type_private, PETSC_FUNCTION_NAME);
8174: }
8175: } else { /* by default, new_local_type is seqaij */
8176: new_local_type = MATSEQAIJ;
8177: bs = 1;
8178: }
8180: /* create MATIS object if needed */
8181: if (!reuse) {
8182: PetscCall(MatGetSize(mat, &rows, &cols));
8183: PetscCall(MatCreateIS(comm_n, bs, PETSC_DECIDE, PETSC_DECIDE, rows, cols, l2gmap, l2gmap, mat_n));
8184: } else {
8185: /* it also destroys the local matrices */
8186: if (*mat_n) {
8187: PetscCall(MatSetLocalToGlobalMapping(*mat_n, l2gmap, l2gmap));
8188: } else { /* this is a fake object */
8189: PetscCall(MatCreateIS(comm_n, bs, PETSC_DECIDE, PETSC_DECIDE, rows, cols, l2gmap, l2gmap, mat_n));
8190: }
8191: }
8192: PetscCall(MatISGetLocalMat(*mat_n, &local_mat));
8193: PetscCall(MatSetType(local_mat, new_local_type));
8195: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_vals, MPI_STATUSES_IGNORE));
8197: /* Global to local map of received indices */
8198: PetscCall(PetscMalloc1(buf_size_idxs, &recv_buffer_idxs_local)); /* needed for values insertion */
8199: PetscCall(ISGlobalToLocalMappingApply(l2gmap, IS_GTOLM_MASK, buf_size_idxs, recv_buffer_idxs, &i, recv_buffer_idxs_local));
8200: PetscCall(ISLocalToGlobalMappingDestroy(&l2gmap));
8202: /* restore attributes -> type of incoming data and its size */
8203: buf_size_idxs = 0;
8204: for (i = 0; i < n_recvs; i++) {
8205: recv_buffer_idxs_local[buf_size_idxs] = recv_buffer_idxs[buf_size_idxs];
8206: recv_buffer_idxs_local[buf_size_idxs + 1] = recv_buffer_idxs[buf_size_idxs + 1];
8207: buf_size_idxs += (PetscInt)olengths_idxs[i];
8208: }
8209: PetscCall(PetscFree(recv_buffer_idxs));
8211: /* set preallocation */
8212: PetscCall(PetscObjectTypeCompare((PetscObject)local_mat, MATSEQDENSE, &newisdense));
8213: if (!newisdense) {
8214: PetscInt *new_local_nnz = NULL;
8216: ptr_idxs = recv_buffer_idxs_local;
8217: if (n_recvs) PetscCall(PetscCalloc1(new_local_rows, &new_local_nnz));
8218: for (i = 0; i < n_recvs; i++) {
8219: PetscInt j;
8220: if (*ptr_idxs == (PetscInt)MATDENSE_PRIVATE) { /* preallocation provided for dense case only */
8221: for (j = 0; j < *(ptr_idxs + 1); j++) new_local_nnz[*(ptr_idxs + 2 + j)] += *(ptr_idxs + 1);
8222: } else {
8223: /* TODO */
8224: }
8225: ptr_idxs += olengths_idxs[i];
8226: }
8227: if (new_local_nnz) {
8228: for (i = 0; i < new_local_rows; i++) new_local_nnz[i] = PetscMin(new_local_nnz[i], new_local_rows);
8229: PetscCall(MatSeqAIJSetPreallocation(local_mat, 0, new_local_nnz));
8230: for (i = 0; i < new_local_rows; i++) new_local_nnz[i] /= bs;
8231: PetscCall(MatSeqBAIJSetPreallocation(local_mat, bs, 0, new_local_nnz));
8232: for (i = 0; i < new_local_rows; i++) new_local_nnz[i] = PetscMax(new_local_nnz[i] - i, 0);
8233: PetscCall(MatSeqSBAIJSetPreallocation(local_mat, bs, 0, new_local_nnz));
8234: } else {
8235: PetscCall(MatSetUp(local_mat));
8236: }
8237: PetscCall(PetscFree(new_local_nnz));
8238: } else {
8239: PetscCall(MatSetUp(local_mat));
8240: }
8242: /* set values */
8243: ptr_vals = recv_buffer_vals;
8244: ptr_idxs = recv_buffer_idxs_local;
8245: for (i = 0; i < n_recvs; i++) {
8246: if (*ptr_idxs == (PetscInt)MATDENSE_PRIVATE) { /* values insertion provided for dense case only */
8247: PetscCall(MatSetOption(local_mat, MAT_ROW_ORIENTED, PETSC_FALSE));
8248: PetscCall(MatSetValues(local_mat, *(ptr_idxs + 1), ptr_idxs + 2, *(ptr_idxs + 1), ptr_idxs + 2, ptr_vals, ADD_VALUES));
8249: PetscCall(MatAssemblyBegin(local_mat, MAT_FLUSH_ASSEMBLY));
8250: PetscCall(MatAssemblyEnd(local_mat, MAT_FLUSH_ASSEMBLY));
8251: PetscCall(MatSetOption(local_mat, MAT_ROW_ORIENTED, PETSC_TRUE));
8252: } else {
8253: /* TODO */
8254: }
8255: ptr_idxs += olengths_idxs[i];
8256: ptr_vals += olengths_vals[i];
8257: }
8258: PetscCall(MatAssemblyBegin(local_mat, MAT_FINAL_ASSEMBLY));
8259: PetscCall(MatAssemblyEnd(local_mat, MAT_FINAL_ASSEMBLY));
8260: PetscCall(MatISRestoreLocalMat(*mat_n, &local_mat));
8261: PetscCall(MatAssemblyBegin(*mat_n, MAT_FINAL_ASSEMBLY));
8262: PetscCall(MatAssemblyEnd(*mat_n, MAT_FINAL_ASSEMBLY));
8263: PetscCall(PetscFree(recv_buffer_vals));
8265: #if 0
8266: if (!restrict_comm) { /* check */
8267: Vec lvec,rvec;
8268: PetscReal infty_error;
8270: PetscCall(MatCreateVecs(mat,&rvec,&lvec));
8271: PetscCall(VecSetRandom(rvec,NULL));
8272: PetscCall(MatMult(mat,rvec,lvec));
8273: PetscCall(VecScale(lvec,-1.0));
8274: PetscCall(MatMultAdd(*mat_n,rvec,lvec,lvec));
8275: PetscCall(VecNorm(lvec,NORM_INFINITY,&infty_error));
8276: PetscCall(PetscPrintf(PetscObjectComm((PetscObject)mat),"Infinity error subassembling %1.6e\n",infty_error));
8277: PetscCall(VecDestroy(&rvec));
8278: PetscCall(VecDestroy(&lvec));
8279: }
8280: #endif
8282: /* assemble new additional is (if any) */
8283: if (nis) {
8284: PetscInt **temp_idxs, *count_is, j, psum;
8286: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_idxs_is, MPI_STATUSES_IGNORE));
8287: PetscCall(PetscCalloc1(nis, &count_is));
8288: ptr_idxs = recv_buffer_idxs_is;
8289: psum = 0;
8290: for (i = 0; i < n_recvs; i++) {
8291: for (j = 0; j < nis; j++) {
8292: PetscInt plen = *(ptr_idxs); /* first element is the local size of IS's indices */
8293: count_is[j] += plen; /* increment counting of buffer for j-th IS */
8294: psum += plen;
8295: ptr_idxs += plen + 1; /* shift pointer to received data */
8296: }
8297: }
8298: PetscCall(PetscMalloc1(nis, &temp_idxs));
8299: PetscCall(PetscMalloc1(psum, &temp_idxs[0]));
8300: for (i = 1; i < nis; i++) temp_idxs[i] = PetscSafePointerPlusOffset(temp_idxs[i - 1], count_is[i - 1]);
8301: PetscCall(PetscArrayzero(count_is, nis));
8302: ptr_idxs = recv_buffer_idxs_is;
8303: for (i = 0; i < n_recvs; i++) {
8304: for (j = 0; j < nis; j++) {
8305: PetscInt plen = *(ptr_idxs); /* first element is the local size of IS's indices */
8306: PetscCall(PetscArraycpy(&temp_idxs[j][count_is[j]], ptr_idxs + 1, plen));
8307: count_is[j] += plen; /* increment starting point of buffer for j-th IS */
8308: ptr_idxs += plen + 1; /* shift pointer to received data */
8309: }
8310: }
8311: for (i = 0; i < nis; i++) {
8312: PetscCall(ISDestroy(&isarray[i]));
8313: PetscCall(PetscSortRemoveDupsInt(&count_is[i], temp_idxs[i]));
8314: PetscCall(ISCreateGeneral(comm_n, count_is[i], temp_idxs[i], PETSC_COPY_VALUES, &isarray[i]));
8315: }
8316: PetscCall(PetscFree(count_is));
8317: PetscCall(PetscFree(temp_idxs[0]));
8318: PetscCall(PetscFree(temp_idxs));
8319: }
8320: /* free workspace */
8321: PetscCall(PetscFree(recv_buffer_idxs_is));
8322: PetscCallMPI(MPI_Waitall(n_sends, send_req_idxs, MPI_STATUSES_IGNORE));
8323: PetscCall(PetscFree(send_buffer_idxs));
8324: PetscCallMPI(MPI_Waitall(n_sends, send_req_vals, MPI_STATUSES_IGNORE));
8325: if (isdense) {
8326: PetscCall(MatISGetLocalMat(mat, &local_mat));
8327: PetscCall(MatDenseRestoreArrayRead(local_mat, &send_buffer_vals));
8328: PetscCall(MatISRestoreLocalMat(mat, &local_mat));
8329: } else {
8330: /* PetscCall(PetscFree(send_buffer_vals)); */
8331: }
8332: if (nis) {
8333: PetscCallMPI(MPI_Waitall(n_sends, send_req_idxs_is, MPI_STATUSES_IGNORE));
8334: PetscCall(PetscFree(send_buffer_idxs_is));
8335: }
8337: if (nvecs) {
8338: PetscCallMPI(MPI_Waitall(n_recvs, recv_req_vecs, MPI_STATUSES_IGNORE));
8339: PetscCallMPI(MPI_Waitall(n_sends, send_req_vecs, MPI_STATUSES_IGNORE));
8340: PetscCall(VecRestoreArray(nnsp_vec[0], &send_buffer_vecs));
8341: PetscCall(VecDestroy(&nnsp_vec[0]));
8342: PetscCall(VecCreate(comm_n, &nnsp_vec[0]));
8343: PetscCall(VecSetSizes(nnsp_vec[0], new_local_rows, PETSC_DECIDE));
8344: PetscCall(VecSetType(nnsp_vec[0], VECSTANDARD));
8345: /* set values */
8346: ptr_vals = recv_buffer_vecs;
8347: ptr_idxs = recv_buffer_idxs_local;
8348: PetscCall(VecGetArray(nnsp_vec[0], &send_buffer_vecs));
8349: for (i = 0; i < n_recvs; i++) {
8350: PetscInt j;
8351: for (j = 0; j < *(ptr_idxs + 1); j++) send_buffer_vecs[*(ptr_idxs + 2 + j)] += *(ptr_vals + j);
8352: ptr_idxs += olengths_idxs[i];
8353: ptr_vals += olengths_idxs[i] - 2;
8354: }
8355: PetscCall(VecRestoreArray(nnsp_vec[0], &send_buffer_vecs));
8356: PetscCall(VecAssemblyBegin(nnsp_vec[0]));
8357: PetscCall(VecAssemblyEnd(nnsp_vec[0]));
8358: }
8360: PetscCall(PetscFree(recv_buffer_vecs));
8361: PetscCall(PetscFree(recv_buffer_idxs_local));
8362: PetscCall(PetscFree(recv_req_idxs));
8363: PetscCall(PetscFree(recv_req_vals));
8364: PetscCall(PetscFree(recv_req_vecs));
8365: PetscCall(PetscFree(recv_req_idxs_is));
8366: PetscCall(PetscFree(send_req_idxs));
8367: PetscCall(PetscFree(send_req_vals));
8368: PetscCall(PetscFree(send_req_vecs));
8369: PetscCall(PetscFree(send_req_idxs_is));
8370: PetscCall(PetscFree(ilengths_vals));
8371: PetscCall(PetscFree(ilengths_idxs));
8372: PetscCall(PetscFree(olengths_vals));
8373: PetscCall(PetscFree(olengths_idxs));
8374: PetscCall(PetscFree(onodes));
8375: if (nis) {
8376: PetscCall(PetscFree(ilengths_idxs_is));
8377: PetscCall(PetscFree(olengths_idxs_is));
8378: PetscCall(PetscFree(onodes_is));
8379: }
8380: PetscCall(PetscSubcommDestroy(&subcomm));
8381: if (destroy_mat) { /* destroy mat is true only if restrict comm is true and process will not participate */
8382: PetscCall(MatDestroy(mat_n));
8383: for (i = 0; i < nis; i++) PetscCall(ISDestroy(&isarray[i]));
8384: if (nvecs) { /* need to match VecDestroy nnsp_vec called in the other code path */
8385: PetscCall(VecDestroy(&nnsp_vec[0]));
8386: }
8387: *mat_n = NULL;
8388: }
8389: PetscFunctionReturn(PETSC_SUCCESS);
8390: }
8392: /* temporary hack into ksp private data structure */
8393: #include <petsc/private/kspimpl.h>
8395: PetscErrorCode PCBDDCSetUpCoarseSolver(PC pc, Mat coarse_submat)
8396: {
8397: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
8398: PC_IS *pcis = (PC_IS *)pc->data;
8399: PCBDDCGraph graph = pcbddc->mat_graph;
8400: Mat coarse_mat, coarse_mat_is;
8401: Mat coarsedivudotp = NULL;
8402: Mat coarseG, t_coarse_mat_is;
8403: MatNullSpace CoarseNullSpace = NULL;
8404: ISLocalToGlobalMapping coarse_islg;
8405: IS coarse_is, *isarray, corners;
8406: PetscInt i, im_active = -1, active_procs = -1;
8407: PetscInt nis, nisdofs, nisneu, nisvert;
8408: PetscInt coarse_eqs_per_proc, coarsening_ratio;
8409: PC pc_temp;
8410: PCType coarse_pc_type;
8411: KSPType coarse_ksp_type;
8412: PetscBool multilevel_requested, multilevel_allowed;
8413: PetscBool coarse_reuse, multi_element = graph->multi_element;
8414: PetscInt ncoarse, nedcfield;
8415: PetscBool compute_vecs = PETSC_FALSE;
8416: PetscScalar *array;
8417: MatReuse coarse_mat_reuse;
8418: PetscBool restr, full_restr, have_void;
8419: PetscMPIInt size;
8421: PetscFunctionBegin;
8422: PetscCall(PetscLogEventBegin(PC_BDDC_CoarseSetUp[pcbddc->current_level], pc, 0, 0, 0));
8423: /* Assign global numbering to coarse dofs */
8424: 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 */
8425: PetscInt ocoarse_size;
8426: compute_vecs = PETSC_TRUE;
8428: pcbddc->new_primal_space = PETSC_TRUE;
8429: ocoarse_size = pcbddc->coarse_size;
8430: PetscCall(PetscFree(pcbddc->global_primal_indices));
8431: PetscCall(PCBDDCComputePrimalNumbering(pc, &pcbddc->coarse_size, &pcbddc->global_primal_indices));
8432: /* see if we can avoid some work */
8433: if (pcbddc->coarse_ksp) { /* coarse ksp has already been created */
8434: /* if the coarse size is different or we are using adaptive selection, better to not reuse the coarse matrix */
8435: if (ocoarse_size != pcbddc->coarse_size || pcbddc->adaptive_selection) {
8436: PetscCall(KSPReset(pcbddc->coarse_ksp));
8437: coarse_reuse = PETSC_FALSE;
8438: } else { /* we can safely reuse already computed coarse matrix */
8439: coarse_reuse = PETSC_TRUE;
8440: }
8441: } else { /* there's no coarse ksp, so we need to create the coarse matrix too */
8442: coarse_reuse = PETSC_FALSE;
8443: }
8444: /* reset any subassembling information */
8445: if (!coarse_reuse || pcbddc->recompute_topography) PetscCall(ISDestroy(&pcbddc->coarse_subassembling));
8446: } else { /* primal space is unchanged, so we can reuse coarse matrix */
8447: coarse_reuse = PETSC_TRUE;
8448: }
8449: if (coarse_reuse && pcbddc->coarse_ksp) {
8450: PetscCall(KSPGetOperators(pcbddc->coarse_ksp, &coarse_mat, NULL));
8451: PetscCall(PetscObjectReference((PetscObject)coarse_mat));
8452: coarse_mat_reuse = MAT_REUSE_MATRIX;
8453: } else {
8454: coarse_mat = NULL;
8455: coarse_mat_reuse = MAT_INITIAL_MATRIX;
8456: }
8458: /* creates temporary l2gmap and IS for coarse indexes */
8459: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), pcbddc->local_primal_size, pcbddc->global_primal_indices, PETSC_COPY_VALUES, &coarse_is));
8460: PetscCall(ISLocalToGlobalMappingCreateIS(coarse_is, &coarse_islg));
8462: /* creates temporary MATIS object for coarse matrix */
8463: PetscCall(MatCreate(PetscObjectComm((PetscObject)pc), &t_coarse_mat_is));
8464: PetscCall(MatSetType(t_coarse_mat_is, MATIS));
8465: PetscCall(MatSetSizes(t_coarse_mat_is, PETSC_DECIDE, PETSC_DECIDE, pcbddc->coarse_size, pcbddc->coarse_size));
8466: PetscCall(MatISSetAllowRepeated(t_coarse_mat_is, PETSC_TRUE));
8467: PetscCall(MatSetLocalToGlobalMapping(t_coarse_mat_is, coarse_islg, coarse_islg));
8468: PetscCall(MatISSetLocalMat(t_coarse_mat_is, coarse_submat));
8469: PetscCall(MatAssemblyBegin(t_coarse_mat_is, MAT_FINAL_ASSEMBLY));
8470: PetscCall(MatAssemblyEnd(t_coarse_mat_is, MAT_FINAL_ASSEMBLY));
8471: PetscCall(MatViewFromOptions(t_coarse_mat_is, (PetscObject)pc, "-pc_bddc_coarse_mat_is_view"));
8473: /* count "active" (i.e. with positive local size) and "void" processes */
8474: im_active = !!pcis->n;
8475: PetscCall(MPIU_Allreduce(&im_active, &active_procs, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)pc)));
8477: /* determine number of processes partecipating to coarse solver and compute subassembling pattern */
8478: /* restr : whether we want to exclude senders (which are not receivers) from the subassembling pattern */
8479: /* full_restr : just use the receivers from the subassembling pattern */
8480: PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)pc), &size));
8481: coarse_mat_is = NULL;
8482: multilevel_allowed = PETSC_FALSE;
8483: multilevel_requested = PETSC_FALSE;
8484: coarse_eqs_per_proc = PetscMin(PetscMax(pcbddc->coarse_size, 1), pcbddc->coarse_eqs_per_proc);
8485: if (coarse_eqs_per_proc < 0 || size == 1) coarse_eqs_per_proc = PetscMax(pcbddc->coarse_size, 1);
8486: if (pcbddc->current_level < pcbddc->max_levels) multilevel_requested = PETSC_TRUE;
8487: if (pcbddc->coarse_size <= pcbddc->coarse_eqs_limit) multilevel_requested = PETSC_FALSE;
8488: coarsening_ratio = multi_element ? 1 : pcbddc->coarsening_ratio;
8489: if (multilevel_requested) {
8490: ncoarse = active_procs / coarsening_ratio;
8491: restr = PETSC_FALSE;
8492: full_restr = PETSC_FALSE;
8493: } else {
8494: ncoarse = pcbddc->coarse_size / coarse_eqs_per_proc + !!(pcbddc->coarse_size % coarse_eqs_per_proc);
8495: restr = PETSC_TRUE;
8496: full_restr = PETSC_TRUE;
8497: }
8498: if (!pcbddc->coarse_size || size == 1) multilevel_allowed = multilevel_requested = restr = full_restr = PETSC_FALSE;
8499: ncoarse = PetscMax(1, ncoarse);
8500: if (!pcbddc->coarse_subassembling) {
8501: if (coarsening_ratio > 1) {
8502: if (multilevel_requested) {
8503: PetscCall(PCBDDCMatISGetSubassemblingPattern(pc->pmat, &ncoarse, pcbddc->coarse_adj_red, &pcbddc->coarse_subassembling, &have_void));
8504: } else {
8505: PetscCall(PCBDDCMatISGetSubassemblingPattern(t_coarse_mat_is, &ncoarse, pcbddc->coarse_adj_red, &pcbddc->coarse_subassembling, &have_void));
8506: }
8507: } else {
8508: PetscMPIInt rank;
8510: PetscCallMPI(MPI_Comm_rank(PetscObjectComm((PetscObject)pc), &rank));
8511: have_void = (active_procs == (PetscInt)size) ? PETSC_FALSE : PETSC_TRUE;
8512: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)pc), 1, rank, 1, &pcbddc->coarse_subassembling));
8513: }
8514: } else { /* if a subassembling pattern exists, then we can reuse the coarse ksp and compute the number of process involved */
8515: PetscInt psum;
8516: if (pcbddc->coarse_ksp) psum = 1;
8517: else psum = 0;
8518: PetscCall(MPIU_Allreduce(&psum, &ncoarse, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)pc)));
8519: have_void = ncoarse < size ? PETSC_TRUE : PETSC_FALSE;
8520: }
8521: /* determine if we can go multilevel */
8522: if (multilevel_requested) {
8523: if (ncoarse > 1) multilevel_allowed = PETSC_TRUE; /* found enough processes */
8524: else restr = full_restr = PETSC_TRUE; /* 1 subdomain, use a direct solver */
8525: }
8526: if (multilevel_allowed && have_void) restr = PETSC_TRUE;
8528: /* dump subassembling pattern */
8529: if (pcbddc->dbg_flag && multilevel_allowed) PetscCall(ISView(pcbddc->coarse_subassembling, pcbddc->dbg_viewer));
8530: /* compute dofs splitting and neumann boundaries for coarse dofs */
8531: nedcfield = -1;
8532: corners = NULL;
8533: if (multilevel_allowed && !coarse_reuse && (pcbddc->n_ISForDofsLocal || pcbddc->NeumannBoundariesLocal || pcbddc->nedclocal || pcbddc->corner_selected)) { /* protects from unneeded computations */
8534: PetscInt *tidxs, *tidxs2, nout, tsize, i;
8535: const PetscInt *idxs;
8536: ISLocalToGlobalMapping tmap;
8538: /* create map between primal indices (in local representative ordering) and local primal numbering */
8539: PetscCall(ISLocalToGlobalMappingCreate(PETSC_COMM_SELF, 1, pcbddc->local_primal_size, pcbddc->primal_indices_local_idxs, PETSC_COPY_VALUES, &tmap));
8540: /* allocate space for temporary storage */
8541: PetscCall(PetscMalloc1(pcbddc->local_primal_size, &tidxs));
8542: PetscCall(PetscMalloc1(pcbddc->local_primal_size, &tidxs2));
8543: /* allocate for IS array */
8544: nisdofs = pcbddc->n_ISForDofsLocal;
8545: if (pcbddc->nedclocal) {
8546: if (pcbddc->nedfield > -1) {
8547: nedcfield = pcbddc->nedfield;
8548: } else {
8549: nedcfield = 0;
8550: PetscCheck(!nisdofs, PetscObjectComm((PetscObject)pc), PETSC_ERR_PLIB, "This should not happen (%" PetscInt_FMT ")", nisdofs);
8551: nisdofs = 1;
8552: }
8553: }
8554: nisneu = !!pcbddc->NeumannBoundariesLocal;
8555: nisvert = 0; /* nisvert is not used */
8556: nis = nisdofs + nisneu + nisvert;
8557: PetscCall(PetscMalloc1(nis, &isarray));
8558: /* dofs splitting */
8559: for (i = 0; i < nisdofs; i++) {
8560: /* PetscCall(ISView(pcbddc->ISForDofsLocal[i],0)); */
8561: if (nedcfield != i) {
8562: PetscCall(ISGetLocalSize(pcbddc->ISForDofsLocal[i], &tsize));
8563: PetscCall(ISGetIndices(pcbddc->ISForDofsLocal[i], &idxs));
8564: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8565: PetscCall(ISRestoreIndices(pcbddc->ISForDofsLocal[i], &idxs));
8566: } else {
8567: PetscCall(ISGetLocalSize(pcbddc->nedclocal, &tsize));
8568: PetscCall(ISGetIndices(pcbddc->nedclocal, &idxs));
8569: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8570: PetscCheck(tsize == nout, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Failed when mapping coarse nedelec field! %" PetscInt_FMT " != %" PetscInt_FMT, tsize, nout);
8571: PetscCall(ISRestoreIndices(pcbddc->nedclocal, &idxs));
8572: }
8573: PetscCall(ISLocalToGlobalMappingApply(coarse_islg, nout, tidxs, tidxs2));
8574: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), nout, tidxs2, PETSC_COPY_VALUES, &isarray[i]));
8575: /* PetscCall(ISView(isarray[i],0)); */
8576: }
8577: /* neumann boundaries */
8578: if (pcbddc->NeumannBoundariesLocal) {
8579: /* PetscCall(ISView(pcbddc->NeumannBoundariesLocal,0)); */
8580: PetscCall(ISGetLocalSize(pcbddc->NeumannBoundariesLocal, &tsize));
8581: PetscCall(ISGetIndices(pcbddc->NeumannBoundariesLocal, &idxs));
8582: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8583: PetscCall(ISRestoreIndices(pcbddc->NeumannBoundariesLocal, &idxs));
8584: PetscCall(ISLocalToGlobalMappingApply(coarse_islg, nout, tidxs, tidxs2));
8585: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), nout, tidxs2, PETSC_COPY_VALUES, &isarray[nisdofs]));
8586: /* PetscCall(ISView(isarray[nisdofs],0)); */
8587: }
8588: /* coordinates */
8589: if (pcbddc->corner_selected) {
8590: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &corners));
8591: PetscCall(ISGetLocalSize(corners, &tsize));
8592: PetscCall(ISGetIndices(corners, &idxs));
8593: PetscCall(ISGlobalToLocalMappingApply(tmap, IS_GTOLM_DROP, tsize, idxs, &nout, tidxs));
8594: PetscCheck(tsize == nout, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Failed when mapping corners! %" PetscInt_FMT " != %" PetscInt_FMT, tsize, nout);
8595: PetscCall(ISRestoreIndices(corners, &idxs));
8596: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &corners));
8597: PetscCall(ISLocalToGlobalMappingApply(coarse_islg, nout, tidxs, tidxs2));
8598: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), nout, tidxs2, PETSC_COPY_VALUES, &corners));
8599: }
8600: PetscCall(PetscFree(tidxs));
8601: PetscCall(PetscFree(tidxs2));
8602: PetscCall(ISLocalToGlobalMappingDestroy(&tmap));
8603: } else {
8604: nis = 0;
8605: nisdofs = 0;
8606: nisneu = 0;
8607: nisvert = 0;
8608: isarray = NULL;
8609: }
8610: /* destroy no longer needed map */
8611: PetscCall(ISLocalToGlobalMappingDestroy(&coarse_islg));
8613: /* subassemble */
8614: if (multilevel_allowed) {
8615: Vec vp[1];
8616: PetscInt nvecs = 0;
8617: PetscBool reuse;
8619: vp[0] = NULL;
8620: /* XXX HDIV also */
8621: if (pcbddc->benign_have_null) { /* propagate no-net-flux quadrature to coarser level */
8622: PetscCall(VecCreate(PetscObjectComm((PetscObject)pc), &vp[0]));
8623: PetscCall(VecSetSizes(vp[0], pcbddc->local_primal_size, PETSC_DECIDE));
8624: PetscCall(VecSetType(vp[0], VECSTANDARD));
8625: nvecs = 1;
8627: if (pcbddc->divudotp) {
8628: Mat B, loc_divudotp;
8629: Vec v, p;
8630: IS dummy;
8631: PetscInt np;
8633: PetscCall(MatISGetLocalMat(pcbddc->divudotp, &loc_divudotp));
8634: PetscCall(MatGetSize(loc_divudotp, &np, NULL));
8635: PetscCall(ISCreateStride(PETSC_COMM_SELF, np, 0, 1, &dummy));
8636: PetscCall(MatCreateSubMatrix(loc_divudotp, dummy, pcis->is_B_local, MAT_INITIAL_MATRIX, &B));
8637: PetscCall(MatCreateVecs(B, &v, &p));
8638: PetscCall(VecSet(p, 1.));
8639: PetscCall(MatMultTranspose(B, p, v));
8640: PetscCall(VecDestroy(&p));
8641: PetscCall(MatDestroy(&B));
8642: PetscCall(VecGetArray(vp[0], &array));
8643: PetscCall(VecPlaceArray(pcbddc->vec1_P, array));
8644: PetscCall(MatMultTranspose(pcbddc->coarse_phi_B, v, pcbddc->vec1_P));
8645: PetscCall(VecResetArray(pcbddc->vec1_P));
8646: PetscCall(VecRestoreArray(vp[0], &array));
8647: PetscCall(ISDestroy(&dummy));
8648: PetscCall(VecDestroy(&v));
8649: }
8650: }
8651: if (coarse_mat) reuse = PETSC_TRUE;
8652: else reuse = PETSC_FALSE;
8653: if (multi_element) {
8654: /* XXX divudotp */
8655: PetscCall(MatISSetAllowRepeated(t_coarse_mat_is, PETSC_FALSE));
8656: PetscCall(PetscObjectReference((PetscObject)t_coarse_mat_is));
8657: coarse_mat_is = t_coarse_mat_is;
8658: } else {
8659: PetscCall(MPIU_Allreduce(MPI_IN_PLACE, &reuse, 1, MPIU_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
8660: if (reuse) {
8661: PetscCall(PCBDDCMatISSubassemble(t_coarse_mat_is, pcbddc->coarse_subassembling, 0, restr, full_restr, PETSC_TRUE, &coarse_mat, nis, isarray, nvecs, vp));
8662: } else {
8663: PetscCall(PCBDDCMatISSubassemble(t_coarse_mat_is, pcbddc->coarse_subassembling, 0, restr, full_restr, PETSC_FALSE, &coarse_mat_is, nis, isarray, nvecs, vp));
8664: }
8665: if (vp[0]) { /* vp[0] could have been placed on a different set of processes */
8666: PetscScalar *arraym;
8667: const PetscScalar *arrayv;
8668: PetscInt nl;
8669: PetscCall(VecGetLocalSize(vp[0], &nl));
8670: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, 1, nl, NULL, &coarsedivudotp));
8671: PetscCall(MatDenseGetArray(coarsedivudotp, &arraym));
8672: PetscCall(VecGetArrayRead(vp[0], &arrayv));
8673: PetscCall(PetscArraycpy(arraym, arrayv, nl));
8674: PetscCall(VecRestoreArrayRead(vp[0], &arrayv));
8675: PetscCall(MatDenseRestoreArray(coarsedivudotp, &arraym));
8676: PetscCall(VecDestroy(&vp[0]));
8677: } else {
8678: PetscCall(MatCreateSeqAIJ(PETSC_COMM_SELF, 0, 0, 1, NULL, &coarsedivudotp));
8679: }
8680: }
8681: } else {
8682: if (ncoarse != size) PetscCall(PCBDDCMatISSubassemble(t_coarse_mat_is, pcbddc->coarse_subassembling, 0, restr, full_restr, PETSC_FALSE, &coarse_mat_is, 0, NULL, 0, NULL));
8683: else {
8684: PetscCall(PetscObjectReference((PetscObject)t_coarse_mat_is));
8685: coarse_mat_is = t_coarse_mat_is;
8686: }
8687: }
8688: if (coarse_mat_is || coarse_mat) {
8689: if (!multilevel_allowed) {
8690: PetscCall(MatConvert(coarse_mat_is, MATAIJ, coarse_mat_reuse, &coarse_mat));
8691: } else {
8692: /* if this matrix is present, it means we are not reusing the coarse matrix */
8693: if (coarse_mat_is) {
8694: PetscCheck(!coarse_mat, PetscObjectComm((PetscObject)coarse_mat_is), PETSC_ERR_PLIB, "This should not happen");
8695: PetscCall(PetscObjectReference((PetscObject)coarse_mat_is));
8696: coarse_mat = coarse_mat_is;
8697: }
8698: }
8699: }
8700: PetscCall(MatDestroy(&t_coarse_mat_is));
8701: PetscCall(MatDestroy(&coarse_mat_is));
8703: /* create local to global scatters for coarse problem */
8704: if (compute_vecs) {
8705: PetscInt lrows;
8706: PetscCall(VecDestroy(&pcbddc->coarse_vec));
8707: if (coarse_mat) {
8708: PetscCall(MatGetLocalSize(coarse_mat, &lrows, NULL));
8709: } else {
8710: lrows = 0;
8711: }
8712: PetscCall(VecCreate(PetscObjectComm((PetscObject)pc), &pcbddc->coarse_vec));
8713: PetscCall(VecSetSizes(pcbddc->coarse_vec, lrows, PETSC_DECIDE));
8714: PetscCall(VecSetType(pcbddc->coarse_vec, coarse_mat ? coarse_mat->defaultvectype : VECSTANDARD));
8715: PetscCall(VecScatterDestroy(&pcbddc->coarse_loc_to_glob));
8716: PetscCall(VecScatterCreate(pcbddc->vec1_P, NULL, pcbddc->coarse_vec, coarse_is, &pcbddc->coarse_loc_to_glob));
8717: }
8718: PetscCall(ISDestroy(&coarse_is));
8720: /* set defaults for coarse KSP and PC */
8721: if (multilevel_allowed) {
8722: coarse_ksp_type = KSPRICHARDSON;
8723: coarse_pc_type = PCBDDC;
8724: } else {
8725: coarse_ksp_type = KSPPREONLY;
8726: coarse_pc_type = PCREDUNDANT;
8727: }
8729: /* print some info if requested */
8730: if (pcbddc->dbg_flag) {
8731: if (!multilevel_allowed) {
8732: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
8733: if (multilevel_requested) {
8734: 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));
8735: } else if (pcbddc->max_levels) {
8736: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Maximum number of requested levels reached (%" PetscInt_FMT ")\n", pcbddc->max_levels));
8737: }
8738: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
8739: }
8740: }
8742: /* communicate coarse discrete gradient */
8743: coarseG = NULL;
8744: if (pcbddc->nedcG && multilevel_allowed) {
8745: MPI_Comm ccomm;
8746: if (coarse_mat) {
8747: ccomm = PetscObjectComm((PetscObject)coarse_mat);
8748: } else {
8749: ccomm = MPI_COMM_NULL;
8750: }
8751: PetscCall(MatMPIAIJRestrict(pcbddc->nedcG, ccomm, &coarseG));
8752: }
8754: /* create the coarse KSP object only once with defaults */
8755: if (coarse_mat) {
8756: PetscBool isredundant, isbddc, force, valid;
8757: PetscViewer dbg_viewer = NULL;
8758: PetscBool isset, issym, isher, isspd;
8760: if (pcbddc->dbg_flag) {
8761: dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)coarse_mat));
8762: PetscCall(PetscViewerASCIIAddTab(dbg_viewer, 2 * pcbddc->current_level));
8763: }
8764: if (!pcbddc->coarse_ksp) {
8765: char prefix[256], str_level[16];
8766: size_t len;
8768: PetscCall(KSPCreate(PetscObjectComm((PetscObject)coarse_mat), &pcbddc->coarse_ksp));
8769: PetscCall(KSPSetNestLevel(pcbddc->coarse_ksp, pc->kspnestlevel));
8770: PetscCall(KSPSetErrorIfNotConverged(pcbddc->coarse_ksp, pc->erroriffailure));
8771: PetscCall(PetscObjectIncrementTabLevel((PetscObject)pcbddc->coarse_ksp, (PetscObject)pc, 1));
8772: PetscCall(KSPSetTolerances(pcbddc->coarse_ksp, PETSC_DEFAULT, PETSC_DEFAULT, PETSC_DEFAULT, 1));
8773: PetscCall(KSPSetOperators(pcbddc->coarse_ksp, coarse_mat, coarse_mat));
8774: PetscCall(KSPSetType(pcbddc->coarse_ksp, coarse_ksp_type));
8775: PetscCall(KSPSetNormType(pcbddc->coarse_ksp, KSP_NORM_NONE));
8776: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &pc_temp));
8777: /* TODO is this logic correct? should check for coarse_mat type */
8778: PetscCall(PCSetType(pc_temp, coarse_pc_type));
8779: /* prefix */
8780: PetscCall(PetscStrncpy(prefix, "", sizeof(prefix)));
8781: PetscCall(PetscStrncpy(str_level, "", sizeof(str_level)));
8782: if (!pcbddc->current_level) {
8783: PetscCall(PetscStrncpy(prefix, ((PetscObject)pc)->prefix, sizeof(prefix)));
8784: PetscCall(PetscStrlcat(prefix, "pc_bddc_coarse_", sizeof(prefix)));
8785: } else {
8786: PetscCall(PetscStrlen(((PetscObject)pc)->prefix, &len));
8787: if (pcbddc->current_level > 1) len -= 3; /* remove "lX_" with X level number */
8788: if (pcbddc->current_level > 10) len -= 1; /* remove another char from level number */
8789: /* Nonstandard use of PetscStrncpy() to copy only a portion of the string */
8790: PetscCall(PetscStrncpy(prefix, ((PetscObject)pc)->prefix, len + 1));
8791: PetscCall(PetscSNPrintf(str_level, sizeof(str_level), "l%d_", (int)pcbddc->current_level));
8792: PetscCall(PetscStrlcat(prefix, str_level, sizeof(prefix)));
8793: }
8794: PetscCall(KSPSetOptionsPrefix(pcbddc->coarse_ksp, prefix));
8795: /* propagate BDDC info to the next level (these are dummy calls if pc_temp is not of type PCBDDC) */
8796: PetscCall(PCBDDCSetLevel(pc_temp, pcbddc->current_level + 1));
8797: PetscCall(PCBDDCSetCoarseningRatio(pc_temp, pcbddc->coarsening_ratio));
8798: PetscCall(PCBDDCSetLevels(pc_temp, pcbddc->max_levels));
8799: /* allow user customization */
8800: PetscCall(KSPSetFromOptions(pcbddc->coarse_ksp));
8801: /* get some info after set from options */
8802: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &pc_temp));
8803: /* multilevel cannot be done with coarse PC different from BDDC, NN, HPDDM, unless forced to */
8804: force = PETSC_FALSE;
8805: PetscCall(PetscOptionsGetBool(NULL, ((PetscObject)pc_temp)->prefix, "-pc_type_forced", &force, NULL));
8806: PetscCall(PetscObjectTypeCompareAny((PetscObject)pc_temp, &valid, PCBDDC, PCNN, PCHPDDM, ""));
8807: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCBDDC, &isbddc));
8808: if (multilevel_allowed && !force && !valid) {
8809: isbddc = PETSC_TRUE;
8810: PetscCall(PCSetType(pc_temp, PCBDDC));
8811: PetscCall(PCBDDCSetLevel(pc_temp, pcbddc->current_level + 1));
8812: PetscCall(PCBDDCSetCoarseningRatio(pc_temp, pcbddc->coarsening_ratio));
8813: PetscCall(PCBDDCSetLevels(pc_temp, pcbddc->max_levels));
8814: if (pc_temp->ops->setfromoptions) { /* need to setfromoptions again, skipping the pc_type */
8815: PetscObjectOptionsBegin((PetscObject)pc_temp);
8816: PetscCall((*pc_temp->ops->setfromoptions)(pc_temp, PetscOptionsObject));
8817: PetscCall(PetscObjectProcessOptionsHandlers((PetscObject)pc_temp, PetscOptionsObject));
8818: PetscOptionsEnd();
8819: pc_temp->setfromoptionscalled++;
8820: }
8821: }
8822: }
8823: /* propagate BDDC info to the next level (these are dummy calls if pc_temp is not of type PCBDDC) */
8824: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &pc_temp));
8825: if (nisdofs) {
8826: PetscCall(PCBDDCSetDofsSplitting(pc_temp, nisdofs, isarray));
8827: for (i = 0; i < nisdofs; i++) PetscCall(ISDestroy(&isarray[i]));
8828: }
8829: if (nisneu) {
8830: PetscCall(PCBDDCSetNeumannBoundaries(pc_temp, isarray[nisdofs]));
8831: PetscCall(ISDestroy(&isarray[nisdofs]));
8832: }
8833: if (nisvert) {
8834: PetscCall(PCBDDCSetPrimalVerticesIS(pc_temp, isarray[nis - 1]));
8835: PetscCall(ISDestroy(&isarray[nis - 1]));
8836: }
8837: if (coarseG) PetscCall(PCBDDCSetDiscreteGradient(pc_temp, coarseG, 1, nedcfield, PETSC_FALSE, PETSC_TRUE));
8839: /* get some info after set from options */
8840: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCBDDC, &isbddc));
8842: /* multilevel can only be requested via -pc_bddc_levels or PCBDDCSetLevels */
8843: if (isbddc && !multilevel_allowed) PetscCall(PCSetType(pc_temp, coarse_pc_type));
8844: /* multilevel cannot be done with coarse PC different from BDDC, NN, HPDDM, unless forced to */
8845: force = PETSC_FALSE;
8846: PetscCall(PetscOptionsGetBool(NULL, ((PetscObject)pc_temp)->prefix, "-pc_type_forced", &force, NULL));
8847: PetscCall(PetscObjectTypeCompareAny((PetscObject)pc_temp, &valid, PCBDDC, PCNN, PCHPDDM, ""));
8848: if (multilevel_requested && multilevel_allowed && !valid && !force) PetscCall(PCSetType(pc_temp, PCBDDC));
8849: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCREDUNDANT, &isredundant));
8850: if (isredundant) {
8851: KSP inner_ksp;
8852: PC inner_pc;
8854: PetscCall(PCRedundantGetKSP(pc_temp, &inner_ksp));
8855: PetscCall(KSPGetPC(inner_ksp, &inner_pc));
8856: }
8858: /* parameters which miss an API */
8859: PetscCall(PetscObjectTypeCompare((PetscObject)pc_temp, PCBDDC, &isbddc));
8860: if (isbddc) {
8861: PC_BDDC *pcbddc_coarse = (PC_BDDC *)pc_temp->data;
8863: pcbddc_coarse->detect_disconnected = PETSC_TRUE;
8864: pcbddc_coarse->coarse_eqs_per_proc = pcbddc->coarse_eqs_per_proc;
8865: pcbddc_coarse->coarse_eqs_limit = pcbddc->coarse_eqs_limit;
8866: pcbddc_coarse->benign_saddle_point = pcbddc->benign_have_null;
8867: if (pcbddc_coarse->benign_saddle_point) {
8868: Mat coarsedivudotp_is;
8869: ISLocalToGlobalMapping l2gmap, rl2g, cl2g;
8870: IS row, col;
8871: const PetscInt *gidxs;
8872: PetscInt n, st, M, N;
8874: PetscCall(MatGetSize(coarsedivudotp, &n, NULL));
8875: PetscCallMPI(MPI_Scan(&n, &st, 1, MPIU_INT, MPI_SUM, PetscObjectComm((PetscObject)coarse_mat)));
8876: st = st - n;
8877: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)coarse_mat), 1, st, 1, &row));
8878: PetscCall(MatISGetLocalToGlobalMapping(coarse_mat, &l2gmap, NULL));
8879: PetscCall(ISLocalToGlobalMappingGetSize(l2gmap, &n));
8880: PetscCall(ISLocalToGlobalMappingGetIndices(l2gmap, &gidxs));
8881: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)coarse_mat), n, gidxs, PETSC_COPY_VALUES, &col));
8882: PetscCall(ISLocalToGlobalMappingRestoreIndices(l2gmap, &gidxs));
8883: PetscCall(ISLocalToGlobalMappingCreateIS(row, &rl2g));
8884: PetscCall(ISLocalToGlobalMappingCreateIS(col, &cl2g));
8885: PetscCall(ISGetSize(row, &M));
8886: PetscCall(MatGetSize(coarse_mat, &N, NULL));
8887: PetscCall(ISDestroy(&row));
8888: PetscCall(ISDestroy(&col));
8889: PetscCall(MatCreate(PetscObjectComm((PetscObject)coarse_mat), &coarsedivudotp_is));
8890: PetscCall(MatSetType(coarsedivudotp_is, MATIS));
8891: PetscCall(MatSetSizes(coarsedivudotp_is, PETSC_DECIDE, PETSC_DECIDE, M, N));
8892: PetscCall(MatSetLocalToGlobalMapping(coarsedivudotp_is, rl2g, cl2g));
8893: PetscCall(ISLocalToGlobalMappingDestroy(&rl2g));
8894: PetscCall(ISLocalToGlobalMappingDestroy(&cl2g));
8895: PetscCall(MatISSetLocalMat(coarsedivudotp_is, coarsedivudotp));
8896: PetscCall(MatDestroy(&coarsedivudotp));
8897: PetscCall(PCBDDCSetDivergenceMat(pc_temp, coarsedivudotp_is, PETSC_FALSE, NULL));
8898: PetscCall(MatDestroy(&coarsedivudotp_is));
8899: pcbddc_coarse->adaptive_userdefined = PETSC_TRUE;
8900: if (pcbddc->adaptive_threshold[0] == 0.0) pcbddc_coarse->deluxe_zerorows = PETSC_TRUE;
8901: }
8902: }
8904: /* propagate symmetry info of coarse matrix */
8905: PetscCall(MatSetOption(coarse_mat, MAT_STRUCTURALLY_SYMMETRIC, PETSC_TRUE));
8906: PetscCall(MatIsSymmetricKnown(pc->pmat, &isset, &issym));
8907: if (isset) PetscCall(MatSetOption(coarse_mat, MAT_SYMMETRIC, issym));
8908: PetscCall(MatIsHermitianKnown(pc->pmat, &isset, &isher));
8909: if (isset) PetscCall(MatSetOption(coarse_mat, MAT_HERMITIAN, isher));
8910: PetscCall(MatIsSPDKnown(pc->pmat, &isset, &isspd));
8911: if (isset) PetscCall(MatSetOption(coarse_mat, MAT_SPD, isspd));
8913: if (pcbddc->benign_saddle_point && !pcbddc->benign_have_null) PetscCall(MatSetOption(coarse_mat, MAT_SPD, PETSC_TRUE));
8914: /* set operators */
8915: PetscCall(MatViewFromOptions(coarse_mat, (PetscObject)pc, "-pc_bddc_coarse_mat_view"));
8916: PetscCall(MatSetOptionsPrefix(coarse_mat, ((PetscObject)pcbddc->coarse_ksp)->prefix));
8917: PetscCall(KSPSetOperators(pcbddc->coarse_ksp, coarse_mat, coarse_mat));
8918: if (pcbddc->dbg_flag) PetscCall(PetscViewerASCIISubtractTab(dbg_viewer, 2 * pcbddc->current_level));
8919: }
8920: PetscCall(MatDestroy(&coarseG));
8921: PetscCall(PetscFree(isarray));
8922: #if 0
8923: {
8924: PetscViewer viewer;
8925: char filename[256];
8926: PetscCall(PetscSNPrintf(filename, PETSC_STATIC_ARRAY_LENGTH(filename), "coarse_mat_level%d.m",pcbddc->current_level));
8927: PetscCall(PetscViewerASCIIOpen(PetscObjectComm((PetscObject)coarse_mat),filename,&viewer));
8928: PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
8929: PetscCall(MatView(coarse_mat,viewer));
8930: PetscCall(PetscViewerPopFormat(viewer));
8931: PetscCall(PetscViewerDestroy(&viewer));
8932: }
8933: #endif
8935: if (corners) {
8936: Vec gv;
8937: IS is;
8938: const PetscInt *idxs;
8939: PetscInt i, d, N, n, cdim = pcbddc->mat_graph->cdim;
8940: PetscScalar *coords;
8942: PetscCheck(pcbddc->mat_graph->cloc, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Missing local coordinates");
8943: PetscCall(VecGetSize(pcbddc->coarse_vec, &N));
8944: PetscCall(VecGetLocalSize(pcbddc->coarse_vec, &n));
8945: PetscCall(VecCreate(PetscObjectComm((PetscObject)pcbddc->coarse_vec), &gv));
8946: PetscCall(VecSetBlockSize(gv, cdim));
8947: PetscCall(VecSetSizes(gv, n * cdim, N * cdim));
8948: PetscCall(VecSetType(gv, VECSTANDARD));
8949: PetscCall(VecSetFromOptions(gv));
8950: PetscCall(VecSet(gv, PETSC_MAX_REAL)); /* we only propagate coordinates from vertices constraints */
8952: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &is));
8953: PetscCall(ISGetLocalSize(is, &n));
8954: PetscCall(ISGetIndices(is, &idxs));
8955: PetscCall(PetscMalloc1(n * cdim, &coords));
8956: for (i = 0; i < n; i++) {
8957: for (d = 0; d < cdim; d++) coords[cdim * i + d] = pcbddc->mat_graph->coords[cdim * idxs[i] + d];
8958: }
8959: PetscCall(ISRestoreIndices(is, &idxs));
8960: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &is));
8962: PetscCall(ISGetLocalSize(corners, &n));
8963: PetscCall(ISGetIndices(corners, &idxs));
8964: PetscCall(VecSetValuesBlocked(gv, n, idxs, coords, INSERT_VALUES));
8965: PetscCall(ISRestoreIndices(corners, &idxs));
8966: PetscCall(PetscFree(coords));
8967: PetscCall(VecAssemblyBegin(gv));
8968: PetscCall(VecAssemblyEnd(gv));
8969: PetscCall(VecGetArray(gv, &coords));
8970: if (pcbddc->coarse_ksp) {
8971: PC coarse_pc;
8972: PetscBool isbddc;
8974: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &coarse_pc));
8975: PetscCall(PetscObjectTypeCompare((PetscObject)coarse_pc, PCBDDC, &isbddc));
8976: if (isbddc) { /* coarse coordinates have PETSC_MAX_REAL, specific for BDDC */
8977: PetscReal *realcoords;
8979: PetscCall(VecGetLocalSize(gv, &n));
8980: #if defined(PETSC_USE_COMPLEX)
8981: PetscCall(PetscMalloc1(n, &realcoords));
8982: for (i = 0; i < n; i++) realcoords[i] = PetscRealPart(coords[i]);
8983: #else
8984: realcoords = coords;
8985: #endif
8986: PetscCall(PCSetCoordinates(coarse_pc, cdim, n / cdim, realcoords));
8987: #if defined(PETSC_USE_COMPLEX)
8988: PetscCall(PetscFree(realcoords));
8989: #endif
8990: }
8991: }
8992: PetscCall(VecRestoreArray(gv, &coords));
8993: PetscCall(VecDestroy(&gv));
8994: }
8995: PetscCall(ISDestroy(&corners));
8997: if (pcbddc->coarse_ksp) {
8998: Vec crhs, csol;
9000: PetscCall(KSPGetSolution(pcbddc->coarse_ksp, &csol));
9001: PetscCall(KSPGetRhs(pcbddc->coarse_ksp, &crhs));
9002: if (!csol) PetscCall(MatCreateVecs(coarse_mat, &pcbddc->coarse_ksp->vec_sol, NULL));
9003: if (!crhs) PetscCall(MatCreateVecs(coarse_mat, NULL, &pcbddc->coarse_ksp->vec_rhs));
9004: }
9005: PetscCall(MatDestroy(&coarsedivudotp));
9007: /* compute null space for coarse solver if the benign trick has been requested */
9008: if (pcbddc->benign_null) {
9009: PetscCall(VecSet(pcbddc->vec1_P, 0.));
9010: 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));
9011: PetscCall(VecAssemblyBegin(pcbddc->vec1_P));
9012: PetscCall(VecAssemblyEnd(pcbddc->vec1_P));
9013: PetscCall(VecScatterBegin(pcbddc->coarse_loc_to_glob, pcbddc->vec1_P, pcbddc->coarse_vec, INSERT_VALUES, SCATTER_FORWARD));
9014: PetscCall(VecScatterEnd(pcbddc->coarse_loc_to_glob, pcbddc->vec1_P, pcbddc->coarse_vec, INSERT_VALUES, SCATTER_FORWARD));
9015: if (coarse_mat) {
9016: Vec nullv;
9017: PetscScalar *array, *array2;
9018: PetscInt nl;
9020: PetscCall(MatCreateVecs(coarse_mat, &nullv, NULL));
9021: PetscCall(VecGetLocalSize(nullv, &nl));
9022: PetscCall(VecGetArrayRead(pcbddc->coarse_vec, (const PetscScalar **)&array));
9023: PetscCall(VecGetArray(nullv, &array2));
9024: PetscCall(PetscArraycpy(array2, array, nl));
9025: PetscCall(VecRestoreArray(nullv, &array2));
9026: PetscCall(VecRestoreArrayRead(pcbddc->coarse_vec, (const PetscScalar **)&array));
9027: PetscCall(VecNormalize(nullv, NULL));
9028: PetscCall(MatNullSpaceCreate(PetscObjectComm((PetscObject)coarse_mat), PETSC_FALSE, 1, &nullv, &CoarseNullSpace));
9029: PetscCall(VecDestroy(&nullv));
9030: }
9031: }
9032: PetscCall(PetscLogEventEnd(PC_BDDC_CoarseSetUp[pcbddc->current_level], pc, 0, 0, 0));
9034: PetscCall(PetscLogEventBegin(PC_BDDC_CoarseSolver[pcbddc->current_level], pc, 0, 0, 0));
9035: if (pcbddc->coarse_ksp) {
9036: PetscBool ispreonly;
9038: if (CoarseNullSpace) {
9039: PetscBool isnull;
9041: PetscCall(MatNullSpaceTest(CoarseNullSpace, coarse_mat, &isnull));
9042: if (isnull) PetscCall(MatSetNullSpace(coarse_mat, CoarseNullSpace));
9043: /* TODO: add local nullspaces (if any) */
9044: }
9045: /* setup coarse ksp */
9046: PetscCall(KSPSetUp(pcbddc->coarse_ksp));
9047: /* Check coarse problem if in debug mode or if solving with an iterative method */
9048: PetscCall(PetscObjectTypeCompare((PetscObject)pcbddc->coarse_ksp, KSPPREONLY, &ispreonly));
9049: if (pcbddc->dbg_flag || (!ispreonly && pcbddc->use_coarse_estimates)) {
9050: KSP check_ksp;
9051: KSPType check_ksp_type;
9052: PC check_pc;
9053: Vec check_vec, coarse_vec;
9054: PetscReal abs_infty_error, infty_error, lambda_min = 1.0, lambda_max = 1.0;
9055: PetscInt its;
9056: PetscBool compute_eigs;
9057: PetscReal *eigs_r, *eigs_c;
9058: PetscInt neigs;
9059: const char *prefix;
9061: /* Create ksp object suitable for estimation of extreme eigenvalues */
9062: PetscCall(KSPCreate(PetscObjectComm((PetscObject)pcbddc->coarse_ksp), &check_ksp));
9063: PetscCall(KSPSetNestLevel(check_ksp, pc->kspnestlevel));
9064: PetscCall(PetscObjectIncrementTabLevel((PetscObject)check_ksp, (PetscObject)pcbddc->coarse_ksp, 0));
9065: PetscCall(KSPSetErrorIfNotConverged(pcbddc->coarse_ksp, PETSC_FALSE));
9066: PetscCall(KSPSetOperators(check_ksp, coarse_mat, coarse_mat));
9067: PetscCall(KSPSetTolerances(check_ksp, 1.e-12, 1.e-12, PETSC_DEFAULT, pcbddc->coarse_size));
9068: /* prevent from setup unneeded object */
9069: PetscCall(KSPGetPC(check_ksp, &check_pc));
9070: PetscCall(PCSetType(check_pc, PCNONE));
9071: if (ispreonly) {
9072: check_ksp_type = KSPPREONLY;
9073: compute_eigs = PETSC_FALSE;
9074: } else {
9075: check_ksp_type = KSPGMRES;
9076: compute_eigs = PETSC_TRUE;
9077: }
9078: PetscCall(KSPSetType(check_ksp, check_ksp_type));
9079: PetscCall(KSPSetComputeSingularValues(check_ksp, compute_eigs));
9080: PetscCall(KSPSetComputeEigenvalues(check_ksp, compute_eigs));
9081: PetscCall(KSPGMRESSetRestart(check_ksp, pcbddc->coarse_size + 1));
9082: PetscCall(KSPGetOptionsPrefix(pcbddc->coarse_ksp, &prefix));
9083: PetscCall(KSPSetOptionsPrefix(check_ksp, prefix));
9084: PetscCall(KSPAppendOptionsPrefix(check_ksp, "check_"));
9085: PetscCall(KSPSetFromOptions(check_ksp));
9086: PetscCall(KSPSetUp(check_ksp));
9087: PetscCall(KSPGetPC(pcbddc->coarse_ksp, &check_pc));
9088: PetscCall(KSPSetPC(check_ksp, check_pc));
9089: /* create random vec */
9090: PetscCall(MatCreateVecs(coarse_mat, &coarse_vec, &check_vec));
9091: PetscCall(VecSetRandom(check_vec, NULL));
9092: PetscCall(MatMult(coarse_mat, check_vec, coarse_vec));
9093: /* solve coarse problem */
9094: PetscCall(KSPSolve(check_ksp, coarse_vec, coarse_vec));
9095: PetscCall(KSPCheckSolve(check_ksp, pc, coarse_vec));
9096: /* set eigenvalue estimation if preonly has not been requested */
9097: if (compute_eigs) {
9098: PetscCall(PetscMalloc1(pcbddc->coarse_size + 1, &eigs_r));
9099: PetscCall(PetscMalloc1(pcbddc->coarse_size + 1, &eigs_c));
9100: PetscCall(KSPComputeEigenvalues(check_ksp, pcbddc->coarse_size + 1, eigs_r, eigs_c, &neigs));
9101: if (neigs) {
9102: lambda_max = eigs_r[neigs - 1];
9103: lambda_min = eigs_r[0];
9104: if (pcbddc->use_coarse_estimates) {
9105: if (lambda_max >= lambda_min) { /* using PETSC_SMALL since lambda_max == lambda_min is not allowed by KSPChebyshevSetEigenvalues */
9106: PetscCall(KSPChebyshevSetEigenvalues(pcbddc->coarse_ksp, lambda_max + PETSC_SMALL, lambda_min));
9107: PetscCall(KSPRichardsonSetScale(pcbddc->coarse_ksp, 2.0 / (lambda_max + lambda_min)));
9108: }
9109: }
9110: }
9111: }
9113: /* check coarse problem residual error */
9114: if (pcbddc->dbg_flag) {
9115: PetscViewer dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pcbddc->coarse_ksp));
9116: PetscCall(PetscViewerASCIIAddTab(dbg_viewer, 2 * (pcbddc->current_level + 1)));
9117: PetscCall(VecAXPY(check_vec, -1.0, coarse_vec));
9118: PetscCall(VecNorm(check_vec, NORM_INFINITY, &infty_error));
9119: PetscCall(MatMult(coarse_mat, check_vec, coarse_vec));
9120: PetscCall(VecNorm(coarse_vec, NORM_INFINITY, &abs_infty_error));
9121: PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem details (use estimates %d)\n", pcbddc->use_coarse_estimates));
9122: PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)pcbddc->coarse_ksp, dbg_viewer));
9123: PetscCall(PetscObjectPrintClassNamePrefixType((PetscObject)(check_pc), dbg_viewer));
9124: PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem exact infty_error : %1.6e\n", (double)infty_error));
9125: PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem residual infty_error: %1.6e\n", (double)abs_infty_error));
9126: if (CoarseNullSpace) PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "Coarse problem is singular\n"));
9127: if (compute_eigs) {
9128: PetscReal lambda_max_s, lambda_min_s;
9129: KSPConvergedReason reason;
9130: PetscCall(KSPGetType(check_ksp, &check_ksp_type));
9131: PetscCall(KSPGetIterationNumber(check_ksp, &its));
9132: PetscCall(KSPGetConvergedReason(check_ksp, &reason));
9133: PetscCall(KSPComputeExtremeSingularValues(check_ksp, &lambda_max_s, &lambda_min_s));
9134: 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));
9135: for (i = 0; i < neigs; i++) PetscCall(PetscViewerASCIIPrintf(dbg_viewer, "%1.6e %1.6ei\n", (double)eigs_r[i], (double)eigs_c[i]));
9136: }
9137: PetscCall(PetscViewerFlush(dbg_viewer));
9138: PetscCall(PetscViewerASCIISubtractTab(dbg_viewer, 2 * (pcbddc->current_level + 1)));
9139: }
9140: PetscCall(VecDestroy(&check_vec));
9141: PetscCall(VecDestroy(&coarse_vec));
9142: PetscCall(KSPDestroy(&check_ksp));
9143: if (compute_eigs) {
9144: PetscCall(PetscFree(eigs_r));
9145: PetscCall(PetscFree(eigs_c));
9146: }
9147: }
9148: }
9149: PetscCall(MatNullSpaceDestroy(&CoarseNullSpace));
9150: /* print additional info */
9151: if (pcbddc->dbg_flag) {
9152: /* waits until all processes reaches this point */
9153: PetscCall(PetscBarrier((PetscObject)pc));
9154: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Coarse solver setup completed at level %" PetscInt_FMT "\n", pcbddc->current_level));
9155: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9156: }
9158: /* free memory */
9159: PetscCall(MatDestroy(&coarse_mat));
9160: PetscCall(PetscLogEventEnd(PC_BDDC_CoarseSolver[pcbddc->current_level], pc, 0, 0, 0));
9161: PetscFunctionReturn(PETSC_SUCCESS);
9162: }
9164: PetscErrorCode PCBDDCComputePrimalNumbering(PC pc, PetscInt *coarse_size_n, PetscInt **local_primal_indices_n)
9165: {
9166: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9167: PC_IS *pcis = (PC_IS *)pc->data;
9168: IS subset, subset_mult, subset_n;
9169: PetscInt local_size, coarse_size = 0;
9170: PetscInt *local_primal_indices = NULL;
9171: const PetscInt *t_local_primal_indices;
9173: PetscFunctionBegin;
9174: /* Compute global number of coarse dofs */
9175: PetscCheck(!pcbddc->local_primal_size || pcbddc->local_primal_ref_node, PETSC_COMM_SELF, PETSC_ERR_PLIB, "BDDC ConstraintsSetUp should be called first");
9176: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc->pmat), pcbddc->local_primal_size_cc, pcbddc->local_primal_ref_node, PETSC_COPY_VALUES, &subset_n));
9177: PetscCall(ISLocalToGlobalMappingApplyIS(pcis->mapping, subset_n, &subset));
9178: PetscCall(ISDestroy(&subset_n));
9179: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc->pmat), pcbddc->local_primal_size_cc, pcbddc->local_primal_ref_mult, PETSC_COPY_VALUES, &subset_mult));
9180: PetscCall(ISRenumber(subset, subset_mult, &coarse_size, &subset_n));
9181: PetscCall(ISDestroy(&subset));
9182: PetscCall(ISDestroy(&subset_mult));
9183: PetscCall(ISGetLocalSize(subset_n, &local_size));
9184: 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);
9185: PetscCall(PetscMalloc1(local_size, &local_primal_indices));
9186: PetscCall(ISGetIndices(subset_n, &t_local_primal_indices));
9187: PetscCall(PetscArraycpy(local_primal_indices, t_local_primal_indices, local_size));
9188: PetscCall(ISRestoreIndices(subset_n, &t_local_primal_indices));
9189: PetscCall(ISDestroy(&subset_n));
9191: if (pcbddc->dbg_flag) {
9192: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9193: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "--------------------------------------------------\n"));
9194: PetscCall(PetscViewerASCIIPrintf(pcbddc->dbg_viewer, "Size of coarse problem is %" PetscInt_FMT "\n", coarse_size));
9195: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9196: }
9198: /* get back data */
9199: *coarse_size_n = coarse_size;
9200: *local_primal_indices_n = local_primal_indices;
9201: PetscFunctionReturn(PETSC_SUCCESS);
9202: }
9204: PetscErrorCode PCBDDCGlobalToLocal(VecScatter g2l_ctx, Vec gwork, Vec lwork, IS globalis, IS *localis)
9205: {
9206: IS localis_t;
9207: PetscInt i, lsize, *idxs, n;
9208: PetscScalar *vals;
9210: PetscFunctionBegin;
9211: /* get indices in local ordering exploiting local to global map */
9212: PetscCall(ISGetLocalSize(globalis, &lsize));
9213: PetscCall(PetscMalloc1(lsize, &vals));
9214: for (i = 0; i < lsize; i++) vals[i] = 1.0;
9215: PetscCall(ISGetIndices(globalis, (const PetscInt **)&idxs));
9216: PetscCall(VecSet(gwork, 0.0));
9217: PetscCall(VecSet(lwork, 0.0));
9218: if (idxs) { /* multilevel guard */
9219: PetscCall(VecSetOption(gwork, VEC_IGNORE_NEGATIVE_INDICES, PETSC_TRUE));
9220: PetscCall(VecSetValues(gwork, lsize, idxs, vals, INSERT_VALUES));
9221: }
9222: PetscCall(VecAssemblyBegin(gwork));
9223: PetscCall(ISRestoreIndices(globalis, (const PetscInt **)&idxs));
9224: PetscCall(PetscFree(vals));
9225: PetscCall(VecAssemblyEnd(gwork));
9226: /* now compute set in local ordering */
9227: PetscCall(VecScatterBegin(g2l_ctx, gwork, lwork, INSERT_VALUES, SCATTER_FORWARD));
9228: PetscCall(VecScatterEnd(g2l_ctx, gwork, lwork, INSERT_VALUES, SCATTER_FORWARD));
9229: PetscCall(VecGetArrayRead(lwork, (const PetscScalar **)&vals));
9230: PetscCall(VecGetSize(lwork, &n));
9231: for (i = 0, lsize = 0; i < n; i++) {
9232: if (PetscRealPart(vals[i]) > 0.5) lsize++;
9233: }
9234: PetscCall(PetscMalloc1(lsize, &idxs));
9235: for (i = 0, lsize = 0; i < n; i++) {
9236: if (PetscRealPart(vals[i]) > 0.5) idxs[lsize++] = i;
9237: }
9238: PetscCall(VecRestoreArrayRead(lwork, (const PetscScalar **)&vals));
9239: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)gwork), lsize, idxs, PETSC_OWN_POINTER, &localis_t));
9240: *localis = localis_t;
9241: PetscFunctionReturn(PETSC_SUCCESS);
9242: }
9244: PetscErrorCode PCBDDCComputeFakeChange(PC pc, PetscBool constraints, PCBDDCGraph graph, PCBDDCSubSchurs schurs, Mat *change, IS *change_primal, IS *change_primal_mult, PetscBool *change_with_qr)
9245: {
9246: PC_IS *pcis = (PC_IS *)pc->data;
9247: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9248: PC_IS *pcisf;
9249: PC_BDDC *pcbddcf;
9250: PC pcf;
9252: PetscFunctionBegin;
9253: PetscCall(PCCreate(PetscObjectComm((PetscObject)pc), &pcf));
9254: PetscCall(PCSetOperators(pcf, pc->mat, pc->pmat));
9255: PetscCall(PCSetType(pcf, PCBDDC));
9257: pcisf = (PC_IS *)pcf->data;
9258: pcbddcf = (PC_BDDC *)pcf->data;
9260: pcisf->is_B_local = pcis->is_B_local;
9261: pcisf->vec1_N = pcis->vec1_N;
9262: pcisf->BtoNmap = pcis->BtoNmap;
9263: pcisf->n = pcis->n;
9264: pcisf->n_B = pcis->n_B;
9266: PetscCall(PetscFree(pcbddcf->mat_graph));
9267: PetscCall(PetscFree(pcbddcf->sub_schurs));
9268: pcbddcf->mat_graph = graph ? graph : pcbddc->mat_graph;
9269: pcbddcf->sub_schurs = schurs;
9270: pcbddcf->adaptive_selection = schurs ? PETSC_TRUE : PETSC_FALSE;
9271: pcbddcf->adaptive_threshold[0] = pcbddc->adaptive_threshold[0];
9272: pcbddcf->adaptive_threshold[1] = pcbddc->adaptive_threshold[1];
9273: pcbddcf->adaptive_nmin = pcbddc->adaptive_nmin;
9274: pcbddcf->adaptive_nmax = pcbddc->adaptive_nmax;
9275: pcbddcf->use_faces = PETSC_TRUE;
9276: pcbddcf->use_change_of_basis = (PetscBool)!constraints;
9277: pcbddcf->use_change_on_faces = (PetscBool)!constraints;
9278: pcbddcf->use_qr_single = (PetscBool)!constraints;
9279: pcbddcf->fake_change = PETSC_TRUE;
9280: pcbddcf->dbg_flag = pcbddc->dbg_flag;
9282: PetscCall(PCBDDCAdaptiveSelection(pcf));
9283: PetscCall(PCBDDCConstraintsSetUp(pcf));
9285: *change = pcbddcf->ConstraintMatrix;
9286: if (change_primal) PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc->pmat), pcbddcf->local_primal_size_cc, pcbddcf->local_primal_ref_node, PETSC_COPY_VALUES, change_primal));
9287: 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));
9288: if (change_with_qr) *change_with_qr = pcbddcf->use_qr_single;
9290: if (schurs) pcbddcf->sub_schurs = NULL;
9291: pcbddcf->ConstraintMatrix = NULL;
9292: pcbddcf->mat_graph = NULL;
9293: pcisf->is_B_local = NULL;
9294: pcisf->vec1_N = NULL;
9295: pcisf->BtoNmap = NULL;
9296: PetscCall(PCDestroy(&pcf));
9297: PetscFunctionReturn(PETSC_SUCCESS);
9298: }
9300: PetscErrorCode PCBDDCSetUpSubSchurs(PC pc)
9301: {
9302: PC_IS *pcis = (PC_IS *)pc->data;
9303: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9304: PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs;
9305: Mat S_j;
9306: PetscInt *used_xadj, *used_adjncy;
9307: PetscBool free_used_adj;
9309: PetscFunctionBegin;
9310: PetscCall(PetscLogEventBegin(PC_BDDC_Schurs[pcbddc->current_level], pc, 0, 0, 0));
9311: /* decide the adjacency to be used for determining internal problems for local schur on subsets */
9312: free_used_adj = PETSC_FALSE;
9313: if (pcbddc->sub_schurs_layers == -1) {
9314: used_xadj = NULL;
9315: used_adjncy = NULL;
9316: } else {
9317: if (pcbddc->sub_schurs_use_useradj && pcbddc->mat_graph->xadj) {
9318: used_xadj = pcbddc->mat_graph->xadj;
9319: used_adjncy = pcbddc->mat_graph->adjncy;
9320: } else if (pcbddc->computed_rowadj) {
9321: used_xadj = pcbddc->mat_graph->xadj;
9322: used_adjncy = pcbddc->mat_graph->adjncy;
9323: } else {
9324: PetscBool flg_row = PETSC_FALSE;
9325: const PetscInt *xadj, *adjncy;
9326: PetscInt nvtxs;
9328: PetscCall(MatGetRowIJ(pcbddc->local_mat, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, &xadj, &adjncy, &flg_row));
9329: if (flg_row) {
9330: PetscCall(PetscMalloc2(nvtxs + 1, &used_xadj, xadj[nvtxs], &used_adjncy));
9331: PetscCall(PetscArraycpy(used_xadj, xadj, nvtxs + 1));
9332: PetscCall(PetscArraycpy(used_adjncy, adjncy, xadj[nvtxs]));
9333: free_used_adj = PETSC_TRUE;
9334: } else {
9335: pcbddc->sub_schurs_layers = -1;
9336: used_xadj = NULL;
9337: used_adjncy = NULL;
9338: }
9339: PetscCall(MatRestoreRowIJ(pcbddc->local_mat, 0, PETSC_TRUE, PETSC_FALSE, &nvtxs, &xadj, &adjncy, &flg_row));
9340: }
9341: }
9343: /* setup sub_schurs data */
9344: PetscCall(MatCreateSchurComplement(pcis->A_II, pcis->pA_II, pcis->A_IB, pcis->A_BI, pcis->A_BB, &S_j));
9345: if (!sub_schurs->schur_explicit) {
9346: /* pcbddc->ksp_D up to date only if not using MatFactor with Schur complement support */
9347: PetscCall(MatSchurComplementSetKSP(S_j, pcbddc->ksp_D));
9348: 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));
9349: } else {
9350: Mat change = NULL;
9351: Vec scaling = NULL;
9352: IS change_primal = NULL, iP;
9353: PetscInt benign_n;
9354: PetscBool reuse_solvers = (PetscBool)!pcbddc->use_change_of_basis;
9355: PetscBool need_change = PETSC_FALSE;
9356: PetscBool discrete_harmonic = PETSC_FALSE;
9358: if (!pcbddc->use_vertices && reuse_solvers) {
9359: PetscInt n_vertices;
9361: PetscCall(ISGetLocalSize(sub_schurs->is_vertices, &n_vertices));
9362: reuse_solvers = (PetscBool)!n_vertices;
9363: }
9364: if (!pcbddc->benign_change_explicit) {
9365: benign_n = pcbddc->benign_n;
9366: } else {
9367: benign_n = 0;
9368: }
9369: /* sub_schurs->change is a local object; instead, PCBDDCConstraintsSetUp and the quantities used in the test below are logically collective on pc.
9370: We need a global reduction to avoid possible deadlocks.
9371: We assume that sub_schurs->change is created once, and then reused for different solves, unless the topography has been recomputed */
9372: if (pcbddc->adaptive_userdefined || (pcbddc->deluxe_zerorows && !pcbddc->use_change_of_basis)) {
9373: PetscBool have_loc_change = (PetscBool)(!!sub_schurs->change);
9374: PetscCall(MPIU_Allreduce(&have_loc_change, &need_change, 1, MPIU_BOOL, MPI_LOR, PetscObjectComm((PetscObject)pc)));
9375: need_change = (PetscBool)(!need_change);
9376: }
9377: /* If the user defines additional constraints, we import them here */
9378: if (need_change) {
9379: PetscCheck(!pcbddc->sub_schurs_rebuild, PETSC_COMM_SELF, PETSC_ERR_SUP, "Cannot compute change of basis with a different graph");
9380: PetscCall(PCBDDCComputeFakeChange(pc, PETSC_FALSE, NULL, NULL, &change, &change_primal, NULL, &sub_schurs->change_with_qr));
9381: }
9382: if (!pcbddc->use_deluxe_scaling) scaling = pcis->D;
9384: PetscCall(PetscObjectQuery((PetscObject)pc, "__KSPFETIDP_iP", (PetscObject *)&iP));
9385: if (iP) {
9386: PetscOptionsBegin(PetscObjectComm((PetscObject)iP), sub_schurs->prefix, "BDDC sub_schurs options", "PC");
9387: PetscCall(PetscOptionsBool("-sub_schurs_discrete_harmonic", NULL, NULL, discrete_harmonic, &discrete_harmonic, NULL));
9388: PetscOptionsEnd();
9389: }
9390: if (discrete_harmonic) {
9391: Mat A;
9392: PetscCall(MatDuplicate(pcbddc->local_mat, MAT_COPY_VALUES, &A));
9393: PetscCall(MatZeroRowsColumnsIS(A, iP, 1.0, NULL, NULL));
9394: PetscCall(PetscObjectCompose((PetscObject)A, "__KSPFETIDP_iP", (PetscObject)iP));
9395: 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,
9396: pcbddc->benign_zerodiag_subs, change, change_primal));
9397: PetscCall(MatDestroy(&A));
9398: } else {
9399: 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,
9400: pcbddc->benign_p0_lidx, pcbddc->benign_zerodiag_subs, change, change_primal));
9401: }
9402: PetscCall(MatDestroy(&change));
9403: PetscCall(ISDestroy(&change_primal));
9404: }
9405: PetscCall(MatDestroy(&S_j));
9407: /* free adjacency */
9408: if (free_used_adj) PetscCall(PetscFree2(used_xadj, used_adjncy));
9409: PetscCall(PetscLogEventEnd(PC_BDDC_Schurs[pcbddc->current_level], pc, 0, 0, 0));
9410: PetscFunctionReturn(PETSC_SUCCESS);
9411: }
9413: PetscErrorCode PCBDDCInitSubSchurs(PC pc)
9414: {
9415: PC_IS *pcis = (PC_IS *)pc->data;
9416: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9417: PCBDDCGraph graph;
9419: PetscFunctionBegin;
9420: /* attach interface graph for determining subsets */
9421: if (pcbddc->sub_schurs_rebuild) { /* in case rebuild has been requested, it uses a graph generated only by the neighbouring information */
9422: IS verticesIS, verticescomm;
9423: PetscInt vsize, *idxs;
9425: PetscCall(PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &verticesIS));
9426: PetscCall(ISGetSize(verticesIS, &vsize));
9427: PetscCall(ISGetIndices(verticesIS, (const PetscInt **)&idxs));
9428: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), vsize, idxs, PETSC_COPY_VALUES, &verticescomm));
9429: PetscCall(ISRestoreIndices(verticesIS, (const PetscInt **)&idxs));
9430: PetscCall(PCBDDCGraphRestoreCandidatesIS(pcbddc->mat_graph, NULL, NULL, NULL, NULL, &verticesIS));
9431: PetscCall(PCBDDCGraphCreate(&graph));
9432: PetscCall(PCBDDCGraphInit(graph, pcbddc->mat_graph->l2gmap, pcbddc->mat_graph->nvtxs_global, pcbddc->graphmaxcount));
9433: PetscCall(PCBDDCGraphSetUp(graph, pcbddc->mat_graph->custom_minimal_size, NULL, pcbddc->DirichletBoundariesLocal, 0, NULL, verticescomm));
9434: PetscCall(ISDestroy(&verticescomm));
9435: PetscCall(PCBDDCGraphComputeConnectedComponents(graph));
9436: } else {
9437: graph = pcbddc->mat_graph;
9438: }
9439: /* print some info */
9440: if (pcbddc->dbg_flag && !pcbddc->sub_schurs_rebuild) {
9441: IS vertices;
9442: PetscInt nv, nedges, nfaces;
9443: PetscCall(PCBDDCGraphASCIIView(graph, pcbddc->dbg_flag, pcbddc->dbg_viewer));
9444: PetscCall(PCBDDCGraphGetCandidatesIS(graph, &nfaces, NULL, &nedges, NULL, &vertices));
9445: PetscCall(ISGetSize(vertices, &nv));
9446: PetscCall(PetscViewerASCIIPushSynchronized(pcbddc->dbg_viewer));
9447: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "--------------------------------------------------------------\n"));
9448: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate vertices (%d)\n", PetscGlobalRank, nv, pcbddc->use_vertices));
9449: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate edges (%d)\n", PetscGlobalRank, nedges, pcbddc->use_edges));
9450: PetscCall(PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer, "Subdomain %04d got %02" PetscInt_FMT " local candidate faces (%d)\n", PetscGlobalRank, nfaces, pcbddc->use_faces));
9451: PetscCall(PetscViewerFlush(pcbddc->dbg_viewer));
9452: PetscCall(PetscViewerASCIIPopSynchronized(pcbddc->dbg_viewer));
9453: PetscCall(PCBDDCGraphRestoreCandidatesIS(graph, &nfaces, NULL, &nedges, NULL, &vertices));
9454: }
9456: /* sub_schurs init */
9457: if (!pcbddc->sub_schurs) PetscCall(PCBDDCSubSchursCreate(&pcbddc->sub_schurs));
9458: 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));
9460: /* free graph struct */
9461: if (pcbddc->sub_schurs_rebuild) PetscCall(PCBDDCGraphDestroy(&graph));
9462: PetscFunctionReturn(PETSC_SUCCESS);
9463: }
9465: static PetscErrorCode PCBDDCViewGlobalIS(PC pc, IS is, PetscViewer viewer)
9466: {
9467: Mat_IS *matis = (Mat_IS *)pc->pmat->data;
9468: PetscInt n = pc->pmat->rmap->n, ln, ni, st;
9469: const PetscInt *idxs;
9470: IS gis;
9472: PetscFunctionBegin;
9473: if (!is) PetscFunctionReturn(PETSC_SUCCESS);
9474: PetscCall(MatGetOwnershipRange(pc->pmat, &st, NULL));
9475: PetscCall(MatGetLocalSize(matis->A, NULL, &ln));
9476: PetscCall(PetscArrayzero(matis->sf_leafdata, ln));
9477: PetscCall(PetscArrayzero(matis->sf_rootdata, n));
9478: PetscCall(ISGetLocalSize(is, &ni));
9479: PetscCall(ISGetIndices(is, &idxs));
9480: for (PetscInt i = 0; i < ni; i++) {
9481: if (idxs[i] < 0 || idxs[i] >= ln) continue;
9482: matis->sf_leafdata[idxs[i]] = 1;
9483: }
9484: PetscCall(ISRestoreIndices(is, &idxs));
9485: PetscCall(PetscSFReduceBegin(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, MPI_SUM));
9486: PetscCall(PetscSFReduceEnd(matis->sf, MPIU_INT, matis->sf_leafdata, matis->sf_rootdata, MPI_SUM));
9487: ln = 0;
9488: for (PetscInt i = 0; i < n; i++) {
9489: if (matis->sf_rootdata[i]) matis->sf_rootdata[ln++] = i + st;
9490: }
9491: PetscCall(ISCreateGeneral(PetscObjectComm((PetscObject)pc), ln, matis->sf_rootdata, PETSC_USE_POINTER, &gis));
9492: PetscCall(ISView(gis, viewer));
9493: PetscCall(ISDestroy(&gis));
9494: PetscFunctionReturn(PETSC_SUCCESS);
9495: }
9497: PetscErrorCode PCBDDCLoadOrViewCustomization(PC pc, PetscBool load, const char *outfile)
9498: {
9499: PetscInt header[11];
9500: PC_BDDC *pcbddc = (PC_BDDC *)pc->data;
9501: PetscViewer viewer;
9502: MPI_Comm comm = PetscObjectComm((PetscObject)pc);
9504: PetscFunctionBegin;
9505: PetscCall(PetscViewerBinaryOpen(comm, outfile ? outfile : "bddc_dump.dat", load ? FILE_MODE_READ : FILE_MODE_WRITE, &viewer));
9506: if (load) {
9507: IS is;
9508: Mat A;
9510: PetscCall(PetscViewerBinaryRead(viewer, header, PETSC_STATIC_ARRAY_LENGTH(header), NULL, PETSC_INT));
9511: PetscCheck(header[0] == 0 || header[0] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9512: PetscCheck(header[1] == 0 || header[1] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9513: PetscCheck(header[2] >= 0, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9514: PetscCheck(header[3] == 0 || header[3] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9515: PetscCheck(header[4] == 0 || header[4] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9516: PetscCheck(header[5] >= 0, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9517: PetscCheck(header[7] == 0 || header[7] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9518: PetscCheck(header[8] == 0 || header[8] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9519: PetscCheck(header[9] == 0 || header[9] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9520: PetscCheck(header[10] == 0 || header[10] == 1, PETSC_COMM_SELF, PETSC_ERR_FILE_UNEXPECTED, "Not a BDDC dump next in file");
9521: if (header[0]) {
9522: PetscCall(ISCreate(comm, &is));
9523: PetscCall(ISLoad(is, viewer));
9524: PetscCall(PCBDDCSetDirichletBoundaries(pc, is));
9525: PetscCall(ISDestroy(&is));
9526: }
9527: if (header[1]) {
9528: PetscCall(ISCreate(comm, &is));
9529: PetscCall(ISLoad(is, viewer));
9530: PetscCall(PCBDDCSetNeumannBoundaries(pc, is));
9531: PetscCall(ISDestroy(&is));
9532: }
9533: if (header[2]) {
9534: IS *isarray;
9536: PetscCall(PetscMalloc1(header[2], &isarray));
9537: for (PetscInt i = 0; i < header[2]; i++) {
9538: PetscCall(ISCreate(comm, &isarray[i]));
9539: PetscCall(ISLoad(isarray[i], viewer));
9540: }
9541: PetscCall(PCBDDCSetDofsSplitting(pc, header[2], isarray));
9542: for (PetscInt i = 0; i < header[2]; i++) PetscCall(ISDestroy(&isarray[i]));
9543: PetscCall(PetscFree(isarray));
9544: }
9545: if (header[3]) {
9546: PetscCall(ISCreate(comm, &is));
9547: PetscCall(ISLoad(is, viewer));
9548: PetscCall(PCBDDCSetPrimalVerticesIS(pc, is));
9549: PetscCall(ISDestroy(&is));
9550: }
9551: if (header[4]) {
9552: PetscCall(MatCreate(comm, &A));
9553: PetscCall(MatSetType(A, MATAIJ));
9554: PetscCall(MatLoad(A, viewer));
9555: PetscCall(PCBDDCSetDiscreteGradient(pc, A, header[5], header[6], (PetscBool)header[7], (PetscBool)header[8]));
9556: PetscCall(MatDestroy(&A));
9557: }
9558: if (header[9]) {
9559: PetscCall(MatCreate(comm, &A));
9560: PetscCall(MatSetType(A, MATIS));
9561: PetscCall(MatLoad(A, viewer));
9562: PetscCall(PCBDDCSetDivergenceMat(pc, A, (PetscBool)header[10], NULL));
9563: PetscCall(MatDestroy(&A));
9564: }
9565: } else {
9566: header[0] = (PetscInt) !!pcbddc->DirichletBoundariesLocal;
9567: header[1] = (PetscInt) !!pcbddc->NeumannBoundariesLocal;
9568: header[2] = pcbddc->n_ISForDofsLocal;
9569: header[3] = (PetscInt) !!pcbddc->user_primal_vertices_local;
9570: header[4] = (PetscInt) !!pcbddc->discretegradient;
9571: header[5] = pcbddc->nedorder;
9572: header[6] = pcbddc->nedfield;
9573: header[7] = (PetscInt)pcbddc->nedglobal;
9574: header[8] = (PetscInt)pcbddc->conforming;
9575: header[9] = (PetscInt) !!pcbddc->divudotp;
9576: header[10] = (PetscInt)pcbddc->divudotp_trans;
9577: if (header[4]) header[3] = 0;
9579: PetscCall(PetscViewerBinaryWrite(viewer, header, PETSC_STATIC_ARRAY_LENGTH(header), PETSC_INT));
9580: PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->DirichletBoundariesLocal, viewer));
9581: PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->NeumannBoundariesLocal, viewer));
9582: for (PetscInt i = 0; i < header[2]; i++) PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->ISForDofsLocal[i], viewer));
9583: if (header[3]) PetscCall(PCBDDCViewGlobalIS(pc, pcbddc->user_primal_vertices_local, viewer));
9584: if (header[4]) PetscCall(MatView(pcbddc->discretegradient, viewer));
9585: if (header[9]) PetscCall(MatView(pcbddc->divudotp, viewer));
9586: }
9587: PetscCall(PetscViewerDestroy(&viewer));
9588: PetscFunctionReturn(PETSC_SUCCESS);
9589: }
9591: #include <../src/mat/impls/aij/mpi/mpiaij.h>
9592: static PetscErrorCode MatMPIAIJRestrict(Mat A, MPI_Comm ccomm, Mat *B)
9593: {
9594: Mat At;
9595: IS rows;
9596: PetscInt rst, ren;
9597: PetscLayout rmap;
9599: PetscFunctionBegin;
9600: rst = ren = 0;
9601: if (ccomm != MPI_COMM_NULL) {
9602: PetscCall(PetscLayoutCreate(ccomm, &rmap));
9603: PetscCall(PetscLayoutSetSize(rmap, A->rmap->N));
9604: PetscCall(PetscLayoutSetBlockSize(rmap, 1));
9605: PetscCall(PetscLayoutSetUp(rmap));
9606: PetscCall(PetscLayoutGetRange(rmap, &rst, &ren));
9607: }
9608: PetscCall(ISCreateStride(PetscObjectComm((PetscObject)A), ren - rst, rst, 1, &rows));
9609: PetscCall(MatCreateSubMatrix(A, rows, NULL, MAT_INITIAL_MATRIX, &At));
9610: PetscCall(ISDestroy(&rows));
9612: if (ccomm != MPI_COMM_NULL) {
9613: Mat_MPIAIJ *a, *b;
9614: IS from, to;
9615: Vec gvec;
9616: PetscInt lsize;
9618: PetscCall(MatCreate(ccomm, B));
9619: PetscCall(MatSetSizes(*B, ren - rst, PETSC_DECIDE, PETSC_DECIDE, At->cmap->N));
9620: PetscCall(MatSetType(*B, MATAIJ));
9621: PetscCall(PetscLayoutDestroy(&((*B)->rmap)));
9622: PetscCall(PetscLayoutSetUp((*B)->cmap));
9623: a = (Mat_MPIAIJ *)At->data;
9624: b = (Mat_MPIAIJ *)(*B)->data;
9625: PetscCallMPI(MPI_Comm_size(ccomm, &b->size));
9626: PetscCallMPI(MPI_Comm_rank(ccomm, &b->rank));
9627: PetscCall(PetscObjectReference((PetscObject)a->A));
9628: PetscCall(PetscObjectReference((PetscObject)a->B));
9629: b->A = a->A;
9630: b->B = a->B;
9632: b->donotstash = a->donotstash;
9633: b->roworiented = a->roworiented;
9634: b->rowindices = NULL;
9635: b->rowvalues = NULL;
9636: b->getrowactive = PETSC_FALSE;
9638: (*B)->rmap = rmap;
9639: (*B)->factortype = A->factortype;
9640: (*B)->assembled = PETSC_TRUE;
9641: (*B)->insertmode = NOT_SET_VALUES;
9642: (*B)->preallocated = PETSC_TRUE;
9644: if (a->colmap) {
9645: #if defined(PETSC_USE_CTABLE)
9646: PetscCall(PetscHMapIDuplicate(a->colmap, &b->colmap));
9647: #else
9648: PetscCall(PetscMalloc1(At->cmap->N, &b->colmap));
9649: PetscCall(PetscArraycpy(b->colmap, a->colmap, At->cmap->N));
9650: #endif
9651: } else b->colmap = NULL;
9652: if (a->garray) {
9653: PetscInt len;
9654: len = a->B->cmap->n;
9655: PetscCall(PetscMalloc1(len + 1, &b->garray));
9656: if (len) PetscCall(PetscArraycpy(b->garray, a->garray, len));
9657: } else b->garray = NULL;
9659: PetscCall(PetscObjectReference((PetscObject)a->lvec));
9660: b->lvec = a->lvec;
9662: /* cannot use VecScatterCopy */
9663: PetscCall(VecGetLocalSize(b->lvec, &lsize));
9664: PetscCall(ISCreateGeneral(ccomm, lsize, b->garray, PETSC_USE_POINTER, &from));
9665: PetscCall(ISCreateStride(PETSC_COMM_SELF, lsize, 0, 1, &to));
9666: PetscCall(MatCreateVecs(*B, &gvec, NULL));
9667: PetscCall(VecScatterCreate(gvec, from, b->lvec, to, &b->Mvctx));
9668: PetscCall(ISDestroy(&from));
9669: PetscCall(ISDestroy(&to));
9670: PetscCall(VecDestroy(&gvec));
9671: }
9672: PetscCall(MatDestroy(&At));
9673: PetscFunctionReturn(PETSC_SUCCESS);
9674: }
9676: /* same as MatCreateSubMatrix(A, rows, NULL,...) but allows repeated rows */
9677: static PetscErrorCode MatAIJExtractRows(Mat A, IS rows, Mat *sA)
9678: {
9679: PetscBool isaij;
9680: MPI_Comm comm;
9682: PetscFunctionBegin;
9683: PetscCall(PetscObjectGetComm((PetscObject)A, &comm));
9684: PetscCall(PetscObjectBaseTypeCompareAny((PetscObject)A, &isaij, MATSEQAIJ, MATMPIAIJ, ""));
9685: PetscCheck(isaij, comm, PETSC_ERR_SUP, "Not implemented");
9686: PetscCall(PetscObjectBaseTypeCompare((PetscObject)A, MATSEQAIJ, &isaij));
9687: if (isaij) { /* SeqAIJ supports repeated rows */
9688: PetscCall(MatCreateSubMatrix(A, rows, NULL, MAT_INITIAL_MATRIX, sA));
9689: } else {
9690: Mat A_loc;
9691: Mat_SeqAIJ *da;
9692: PetscSF sf;
9693: PetscInt ni, *di, *dj, m = A->rmap->n, c, *ldata, *rdata;
9694: PetscScalar *daa;
9695: const PetscInt *idxs;
9696: const PetscSFNode *iremotes;
9697: PetscSFNode *remotes;
9699: /* SF for incoming rows */
9700: PetscCall(PetscSFCreate(comm, &sf));
9701: PetscCall(ISGetLocalSize(rows, &ni));
9702: PetscCall(ISGetIndices(rows, &idxs));
9703: PetscCall(PetscSFSetGraphLayout(sf, A->rmap, ni, NULL, PETSC_USE_POINTER, idxs));
9704: PetscCall(ISRestoreIndices(rows, &idxs));
9706: PetscCall(MatMPIAIJGetLocalMat(A, MAT_INITIAL_MATRIX, &A_loc));
9707: da = (Mat_SeqAIJ *)A_loc->data;
9708: PetscCall(PetscMalloc2(2 * ni, &ldata, 2 * m, &rdata));
9709: for (PetscInt i = 0; i < m; i++) {
9710: rdata[2 * i + 0] = da->i[i + 1] - da->i[i];
9711: rdata[2 * i + 1] = da->i[i];
9712: }
9713: PetscCall(PetscSFBcastBegin(sf, MPIU_2INT, rdata, ldata, MPI_REPLACE));
9714: PetscCall(PetscSFBcastEnd(sf, MPIU_2INT, rdata, ldata, MPI_REPLACE));
9715: PetscCall(PetscMalloc1(ni + 1, &di));
9716: di[0] = 0;
9717: for (PetscInt i = 0; i < ni; i++) di[i + 1] = di[i] + ldata[2 * i + 0];
9718: PetscCall(PetscMalloc1(di[ni], &dj));
9719: PetscCall(PetscMalloc1(di[ni], &daa));
9720: PetscCall(PetscMalloc1(di[ni], &remotes));
9722: PetscCall(PetscSFGetGraph(sf, NULL, NULL, NULL, &iremotes));
9724: /* SF graph for nonzeros */
9725: c = 0;
9726: for (PetscInt i = 0; i < ni; i++) {
9727: const PetscInt rank = iremotes[i].rank;
9728: const PetscInt rsize = ldata[2 * i];
9729: for (PetscInt j = 0; j < rsize; j++) {
9730: remotes[c].rank = rank;
9731: remotes[c].index = ldata[2 * i + 1] + j;
9732: c++;
9733: }
9734: }
9735: PetscCheck(c == di[ni], PETSC_COMM_SELF, PETSC_ERR_PLIB, "Invalid number of local nonzeros %" PetscInt_FMT " != %" PetscInt_FMT, c, di[ni]);
9736: PetscCall(PetscSFSetGraph(sf, da->i[m], di[ni], NULL, PETSC_USE_POINTER, remotes, PETSC_USE_POINTER));
9737: PetscCall(PetscSFBcastBegin(sf, MPIU_INT, da->j, dj, MPI_REPLACE));
9738: PetscCall(PetscSFBcastEnd(sf, MPIU_INT, da->j, dj, MPI_REPLACE));
9739: PetscCall(PetscSFBcastBegin(sf, MPIU_SCALAR, da->a, daa, MPI_REPLACE));
9740: PetscCall(PetscSFBcastEnd(sf, MPIU_SCALAR, da->a, daa, MPI_REPLACE));
9742: PetscCall(MatCreateMPIAIJWithArrays(comm, ni, A->cmap->n, PETSC_DECIDE, A->cmap->N, di, dj, daa, sA));
9743: PetscCall(MatDestroy(&A_loc));
9744: PetscCall(PetscSFDestroy(&sf));
9745: PetscCall(PetscFree(di));
9746: PetscCall(PetscFree(dj));
9747: PetscCall(PetscFree(daa));
9748: PetscCall(PetscFree(remotes));
9749: PetscCall(PetscFree2(ldata, rdata));
9750: }
9751: PetscFunctionReturn(PETSC_SUCCESS);
9752: }