1 #include <petsc/private/pcmgimpl.h> 2 #include <petsc/private/pcbddcimpl.h> 3 #include <petsc/private/pcbddcprivateimpl.h> 4 5 static PetscErrorCode PCMGGDSWSetUp(PC pc, PetscInt l, DM dm, KSP smooth, PetscInt Nc, Mat A, PetscInt *ns, Mat **sA_IG_n, KSP **sksp_n, IS **sI_n, IS **sG_n, Mat **sGf_n, IS **sGi_n, IS **sGiM_n) 6 { 7 KSP *sksp; 8 PC pcbddc = NULL, smoothpc; 9 PC_BDDC *ipcbddc; 10 PC_IS *ipcis; 11 Mat *sA_IG, *sGf, cmat, lA; 12 ISLocalToGlobalMapping l2g; 13 IS *sI, *sG, *sGi, *sGiM, cref; 14 PCBDDCSubSchurs sub_schurs = NULL; 15 PCBDDCGraph graph; 16 const char *prefix; 17 const PetscScalar *tdata; 18 PetscScalar *data, *cdata; 19 PetscReal tol = 0.0, otol; 20 const PetscInt *ia, *ja; 21 PetscInt *ccii, *cridx; 22 PetscInt i, j, ngct, ng, dbg = 0, odbg, minmax[2] = {0, PETSC_INT_MAX}, ominmax[2], vsize; 23 PetscBool flg, userdefined = PETSC_TRUE, reuse_solver = PETSC_TRUE, reduced = PETSC_FALSE; 24 25 PetscFunctionBegin; 26 PetscCall(MatGetBlockSize(A, &vsize)); 27 PetscCall(KSPGetOptionsPrefix(smooth, &prefix)); 28 PetscOptionsBegin(PetscObjectComm((PetscObject)smooth), prefix, "GDSW options", "PC"); 29 PetscCall(PetscOptionsReal("-gdsw_tolerance", "Tolerance for eigenvalue problem", NULL, tol, &tol, NULL)); 30 PetscCall(PetscOptionsBool("-gdsw_userdefined", "Use user-defined functions in addition to those adaptively generated", NULL, userdefined, &userdefined, NULL)); 31 PetscCall(PetscOptionsIntArray("-gdsw_minmax", "Minimum and maximum number of basis functions per connected component for adaptive GDSW", NULL, minmax, (i = 2, &i), NULL)); 32 PetscCall(PetscOptionsInt("-gdsw_vertex_size", "Connected components smaller or equal to vertex size will be considered as vertices", NULL, vsize, &vsize, NULL)); 33 PetscCall(PetscOptionsBool("-gdsw_reuse", "Reuse interior solver from Schur complement computations", NULL, reuse_solver, &reuse_solver, NULL)); 34 PetscCall(PetscOptionsBool("-gdsw_reduced", "Reduced GDSW", NULL, reduced, &reduced, NULL)); 35 PetscCall(PetscOptionsInt("-gdsw_debug", "Debug output", NULL, dbg, &dbg, NULL)); 36 PetscOptionsEnd(); 37 38 PetscCall(PetscObjectTypeCompare((PetscObject)A, MATIS, &flg)); 39 if (!flg) { 40 MatNullSpace nnsp; 41 42 PetscCall(MatGetNearNullSpace(A, &nnsp)); 43 PetscCall(PetscObjectReference((PetscObject)nnsp)); 44 PetscCall(MatConvert(A, MATIS, MAT_INITIAL_MATRIX, &A)); 45 PetscCall(MatSetNearNullSpace(A, nnsp)); 46 PetscCall(MatNullSpaceDestroy(&nnsp)); 47 } else PetscCall(PetscObjectReference((PetscObject)A)); 48 49 /* TODO Multi sub */ 50 *ns = 1; 51 PetscCall(PetscMalloc1(*ns, &sA_IG)); 52 PetscCall(PetscMalloc1(*ns, &sksp)); 53 PetscCall(PetscMalloc1(*ns, &sI)); 54 PetscCall(PetscMalloc1(*ns, &sG)); 55 PetscCall(PetscMalloc1(*ns, &sGf)); 56 PetscCall(PetscMalloc1(*ns, &sGi)); 57 PetscCall(PetscMalloc1(*ns, &sGiM)); 58 *sA_IG_n = sA_IG; 59 *sksp_n = sksp; 60 *sI_n = sI; 61 *sG_n = sG; 62 *sGf_n = sGf; 63 *sGi_n = sGi; 64 *sGiM_n = sGiM; 65 66 /* submatrices and solvers */ 67 PetscCall(KSPGetPC(smooth, &smoothpc)); 68 PetscCall(PetscObjectTypeCompareAny((PetscObject)smoothpc, &flg, PCBDDC, "")); 69 if (!flg) { 70 Mat smoothA; 71 72 PetscCall(PCGetOperators(smoothpc, &smoothA, NULL)); 73 PetscCall(PCCreate(PetscObjectComm((PetscObject)A), &pcbddc)); 74 PetscCall(PCSetType(pcbddc, PCBDDC)); 75 PetscCall(PCSetOperators(pcbddc, smoothA, A)); 76 PetscCall(PCISSetUp(pcbddc, PETSC_TRUE, PETSC_FALSE)); 77 } else { 78 PetscCall(PetscObjectReference((PetscObject)smoothpc)); 79 pcbddc = smoothpc; 80 } 81 ipcis = (PC_IS *)pcbddc->data; 82 ipcbddc = (PC_BDDC *)pcbddc->data; 83 PetscCall(PetscObjectReference((PetscObject)ipcis->A_IB)); 84 PetscCall(PetscObjectReference((PetscObject)ipcis->is_I_global)); 85 PetscCall(PetscObjectReference((PetscObject)ipcis->is_B_global)); 86 sA_IG[0] = ipcis->A_IB; 87 sI[0] = ipcis->is_I_global; 88 sG[0] = ipcis->is_B_global; 89 90 PetscCall(KSPCreate(PetscObjectComm((PetscObject)ipcis->A_II), &sksp[0])); 91 PetscCall(KSPSetNestLevel(sksp[0], pc->kspnestlevel)); 92 PetscCall(KSPSetOperators(sksp[0], ipcis->A_II, ipcis->pA_II)); 93 PetscCall(KSPSetOptionsPrefix(sksp[0], prefix)); 94 PetscCall(KSPAppendOptionsPrefix(sksp[0], "gdsw_")); 95 PetscCall(KSPSetFromOptions(sksp[0])); 96 97 /* analyze interface */ 98 PetscCall(MatISGetLocalMat(A, &lA)); 99 graph = ipcbddc->mat_graph; 100 if (!flg) { 101 PetscInt N; 102 103 PetscCall(MatISGetLocalToGlobalMapping(A, &l2g, NULL)); 104 PetscCall(MatGetSize(A, &N, NULL)); 105 PetscCall(PCBDDCGraphInit(graph, l2g, N, PETSC_INT_MAX)); 106 PetscCall(MatGetRowIJ(lA, 0, PETSC_TRUE, PETSC_FALSE, &graph->nvtxs_csr, (const PetscInt **)&graph->xadj, (const PetscInt **)&graph->adjncy, &flg)); 107 PetscCall(PCBDDCGraphSetUp(graph, vsize, NULL, NULL, 0, NULL, NULL)); 108 PetscCall(MatRestoreRowIJ(lA, 0, PETSC_TRUE, PETSC_FALSE, &graph->nvtxs_csr, (const PetscInt **)&graph->xadj, (const PetscInt **)&graph->adjncy, &flg)); 109 PetscCall(PCBDDCGraphComputeConnectedComponents(graph)); 110 } 111 l2g = graph->l2gmap; 112 if (reduced) { 113 PetscContainer gcand; 114 PCBDDCGraphCandidates cand; 115 PetscErrorCode (*rgdsw)(DM, PetscInt *, IS **); 116 117 PetscCall(PetscObjectQueryFunction((PetscObject)dm, "DMComputeLocalRGDSWSets", &rgdsw)); 118 PetscCheck(rgdsw, PETSC_COMM_SELF, PETSC_ERR_SUP, "Not supported"); 119 PetscCall(PetscNew(&cand)); 120 PetscCall((*rgdsw)(dm, &cand->nfc, &cand->Faces)); 121 /* filter interior (if any) and guarantee IS are ordered by global numbering */ 122 for (i = 0; i < cand->nfc; i++) { 123 IS is, is2; 124 125 PetscCall(ISLocalToGlobalMappingApplyIS(l2g, cand->Faces[i], &is)); 126 PetscCall(ISDestroy(&cand->Faces[i])); 127 PetscCall(ISSort(is)); 128 PetscCall(ISGlobalToLocalMappingApplyIS(l2g, IS_GTOLM_DROP, is, &is2)); 129 PetscCall(ISDestroy(&is)); 130 PetscCall(ISGlobalToLocalMappingApplyIS(ipcis->BtoNmap, IS_GTOLM_DROP, is2, &is)); 131 PetscCall(ISDestroy(&is2)); 132 PetscCall(ISLocalToGlobalMappingApplyIS(ipcis->BtoNmap, is, &cand->Faces[i])); 133 PetscCall(ISDestroy(&is)); 134 } 135 PetscCall(PetscContainerCreate(PETSC_COMM_SELF, &gcand)); 136 PetscCall(PetscContainerSetPointer(gcand, cand)); 137 PetscCall(PetscContainerSetCtxDestroy(gcand, PCBDDCDestroyGraphCandidatesIS)); 138 PetscCall(PetscObjectCompose((PetscObject)l2g, "_PCBDDCGraphCandidatesIS", (PetscObject)gcand)); 139 PetscCall(PetscContainerDestroy(&gcand)); 140 } 141 142 /* interface functions */ 143 otol = ipcbddc->adaptive_threshold[1]; 144 odbg = ipcbddc->dbg_flag; 145 ominmax[0] = ipcbddc->adaptive_nmin; 146 ominmax[1] = ipcbddc->adaptive_nmax; 147 ipcbddc->adaptive_threshold[1] = tol; 148 ipcbddc->dbg_flag = dbg; 149 ipcbddc->adaptive_nmin = minmax[0]; 150 ipcbddc->adaptive_nmax = minmax[1]; 151 if (tol != 0.0) { /* adaptive */ 152 Mat lS; 153 154 PetscCall(MatCreateSchurComplement(ipcis->A_II, ipcis->pA_II, ipcis->A_IB, ipcis->A_BI, ipcis->A_BB, &lS)); 155 PetscCall(KSPGetOptionsPrefix(sksp[0], &prefix)); 156 PetscCall(PCBDDCSubSchursCreate(&sub_schurs)); 157 PetscCall(PCBDDCSubSchursInit(sub_schurs, prefix, ipcis->is_I_local, ipcis->is_B_local, graph, ipcis->BtoNmap, PETSC_FALSE, PETSC_TRUE)); 158 if (userdefined) PetscCall(PCBDDCComputeFakeChange(pcbddc, PETSC_FALSE, graph, NULL, &cmat, &cref, NULL, &flg)); 159 else { 160 cmat = NULL; 161 cref = NULL; 162 } 163 PetscCall(PCBDDCSubSchursSetUp(sub_schurs, lA, lS, PETSC_TRUE, NULL, NULL, -1, NULL, PETSC_TRUE, reuse_solver, PETSC_FALSE, 0, NULL, NULL, cmat, cref)); 164 PetscCall(MatDestroy(&lS)); 165 PetscCall(MatDestroy(&cmat)); 166 PetscCall(ISDestroy(&cref)); 167 if (sub_schurs->reuse_solver) { 168 PetscCall(KSPSetPC(sksp[0], sub_schurs->reuse_solver->interior_solver)); 169 PetscCall(PCDestroy(&sub_schurs->reuse_solver->interior_solver)); 170 sub_schurs->reuse_solver = NULL; 171 } 172 } 173 PetscCall(PCBDDCComputeFakeChange(pcbddc, PETSC_TRUE, graph, sub_schurs, &cmat, &cref, &sGiM[0], NULL)); 174 PetscCall(PCBDDCSubSchursDestroy(&sub_schurs)); 175 ipcbddc->adaptive_threshold[1] = otol; 176 ipcbddc->dbg_flag = odbg; 177 ipcbddc->adaptive_nmin = ominmax[0]; 178 ipcbddc->adaptive_nmax = ominmax[1]; 179 180 PetscCall(ISLocalToGlobalMappingApplyIS(l2g, cref, &sGi[0])); 181 PetscCall(ISDestroy(&cref)); 182 183 PetscCall(MatSeqAIJGetArrayRead(cmat, &tdata)); 184 PetscCall(MatGetRowIJ(cmat, 0, PETSC_FALSE, PETSC_FALSE, &ngct, &ia, &ja, &flg)); 185 PetscCheck(flg, PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in MatGetRowIJ"); 186 187 PetscCall(PetscMalloc1(ngct + 1, &ccii)); 188 PetscCall(PetscMalloc1(ia[ngct], &cridx)); 189 PetscCall(PetscMalloc1(ia[ngct], &cdata)); 190 191 PetscCall(PetscArraycpy(ccii, ia, ngct + 1)); 192 PetscCall(PetscArraycpy(cdata, tdata, ia[ngct])); 193 PetscCall(ISGlobalToLocalMappingApply(ipcis->BtoNmap, IS_GTOLM_DROP, ia[ngct], ja, &i, cridx)); 194 PetscCheck(i == ia[ngct], PETSC_COMM_SELF, PETSC_ERR_PLIB, "Error in G2L"); 195 196 PetscCall(MatRestoreRowIJ(cmat, 0, PETSC_FALSE, PETSC_FALSE, &i, &ia, &ja, &flg)); 197 PetscCall(MatSeqAIJRestoreArrayRead(cmat, &tdata)); 198 PetscCall(MatDestroy(&cmat)); 199 200 /* populate dense matrix */ 201 PetscCall(ISGetLocalSize(sG[0], &ng)); 202 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF, ng, ngct, NULL, &sGf[0])); 203 PetscCall(MatDenseGetArrayWrite(sGf[0], &data)); 204 for (i = 0; i < ngct; i++) 205 for (j = ccii[i]; j < ccii[i + 1]; j++) data[ng * i + cridx[j]] = cdata[j]; 206 PetscCall(MatDenseRestoreArrayWrite(sGf[0], &data)); 207 208 PetscCall(PetscFree(cdata)); 209 PetscCall(PetscFree(ccii)); 210 PetscCall(PetscFree(cridx)); 211 PetscCall(PCDestroy(&pcbddc)); 212 PetscCall(MatDestroy(&A)); 213 PetscFunctionReturn(PETSC_SUCCESS); 214 } 215 216 PetscErrorCode PCMGGDSWCreateCoarseSpace_Private(PC pc, PetscInt l, DM dm, KSP smooth, PetscInt Nc, Mat guess, Mat *cspace) 217 { 218 KSP *sksp; 219 Mat A, *sA_IG, *sGf, preallocator; 220 IS Gidx, GidxMult, cG; 221 IS *sI, *sG, *sGi, *sGiM; 222 const PetscInt *cidx; 223 PetscInt NG, ns, n, i, c, rbs, cbs[2]; 224 PetscBool flg; 225 MatType ptype; 226 227 PetscFunctionBegin; 228 *cspace = NULL; 229 if (!l) PetscFunctionReturn(PETSC_SUCCESS); 230 if (pc->useAmat) { 231 PetscCall(KSPGetOperatorsSet(smooth, &flg, NULL)); 232 PetscCheck(flg, PetscObjectComm((PetscObject)smooth), PETSC_ERR_ORDER, "Amat not set"); 233 PetscCall(KSPGetOperators(smooth, &A, NULL)); 234 } else { 235 PetscCall(KSPGetOperatorsSet(smooth, NULL, &flg)); 236 PetscCheck(flg, PetscObjectComm((PetscObject)smooth), PETSC_ERR_ORDER, "Pmat not set"); 237 PetscCall(KSPGetOperators(smooth, NULL, &A)); 238 } 239 240 /* Setup (also setup smoother here) */ 241 if (!pc->setupcalled) PetscCall(KSPSetFromOptions(smooth)); 242 PetscCall(KSPSetUp(smooth)); 243 PetscCall(KSPSetUpOnBlocks(smooth)); 244 PetscCall(PCMGGDSWSetUp(pc, l, dm, smooth, Nc, A, &ns, &sA_IG, &sksp, &sI, &sG, &sGf, &sGi, &sGiM)); 245 246 /* Number GDSW basis functions */ 247 PetscCall(ISConcatenate(PetscObjectComm((PetscObject)A), ns, sGi, &Gidx)); 248 PetscCall(ISConcatenate(PetscObjectComm((PetscObject)A), ns, sGiM, &GidxMult)); 249 PetscCall(ISRenumber(Gidx, GidxMult, &NG, &cG)); 250 PetscCall(ISDestroy(&Gidx)); 251 252 /* Detect column block size */ 253 PetscCall(ISGetMinMax(GidxMult, &cbs[0], &cbs[1])); 254 PetscCall(PetscGlobalMinMaxInt(PetscObjectComm((PetscObject)A), cbs, cbs)); 255 PetscCall(ISDestroy(&GidxMult)); 256 257 /* Construct global interpolation matrix */ 258 PetscCall(MatGetLocalSize(A, NULL, &n)); 259 PetscCall(MatCreate(PetscObjectComm((PetscObject)A), &preallocator)); 260 PetscCall(MatSetSizes(preallocator, n, PETSC_DECIDE, PETSC_DECIDE, NG)); 261 PetscCall(MatSetType(preallocator, MATPREALLOCATOR)); 262 PetscCall(MatSetUp(preallocator)); 263 PetscCall(ISGetIndices(cG, &cidx)); 264 for (i = 0, c = 0; i < ns; i++) { 265 const PetscInt *ri, *rg; 266 PetscInt nri, nrg, ncg; 267 268 PetscCall(ISGetLocalSize(sI[i], &nri)); 269 PetscCall(ISGetLocalSize(sG[i], &nrg)); 270 PetscCall(ISGetIndices(sI[i], &ri)); 271 PetscCall(ISGetIndices(sG[i], &rg)); 272 PetscCall(MatGetSize(sGf[i], NULL, &ncg)); 273 PetscCall(MatSetValues(preallocator, nri, ri, ncg, cidx + c, NULL, INSERT_VALUES)); 274 PetscCall(MatSetValues(preallocator, nrg, rg, ncg, cidx + c, NULL, INSERT_VALUES)); 275 PetscCall(ISRestoreIndices(sI[i], &ri)); 276 PetscCall(ISRestoreIndices(sG[i], &rg)); 277 } 278 PetscCall(MatAssemblyBegin(preallocator, MAT_FINAL_ASSEMBLY)); 279 PetscCall(MatAssemblyEnd(preallocator, MAT_FINAL_ASSEMBLY)); 280 281 ptype = MATAIJ; 282 if (PetscDefined(HAVE_DEVICE)) { 283 PetscCall(MatBoundToCPU(A, &flg)); 284 if (!flg) { 285 VecType vtype; 286 char *found = NULL; 287 288 PetscCall(MatGetVecType(A, &vtype)); 289 PetscCall(PetscStrstr(vtype, "cuda", &found)); 290 if (found) ptype = MATAIJCUSPARSE; 291 } 292 } 293 PetscCall(MatCreate(PetscObjectComm((PetscObject)A), cspace)); 294 PetscCall(MatSetSizes(*cspace, n, PETSC_DECIDE, PETSC_DECIDE, NG)); 295 PetscCall(MatSetType(*cspace, ptype)); 296 PetscCall(MatGetBlockSizes(A, NULL, &rbs)); 297 PetscCall(MatSetBlockSizes(*cspace, rbs, cbs[0] == cbs[1] ? cbs[0] : 1)); 298 PetscCall(MatPreallocatorPreallocate(preallocator, PETSC_FALSE, *cspace)); 299 PetscCall(MatDestroy(&preallocator)); 300 PetscCall(MatSetOption(*cspace, MAT_ROW_ORIENTED, PETSC_FALSE)); 301 302 for (i = 0, c = 0; i < ns; i++) { 303 Mat X, Y; 304 const PetscScalar *v; 305 const PetscInt *ri, *rg; 306 PetscInt nri, nrg, ncg; 307 308 PetscCall(MatMatMult(sA_IG[i], sGf[i], MAT_INITIAL_MATRIX, PETSC_CURRENT, &Y)); 309 PetscCall(MatScale(Y, -1.0)); 310 PetscCall(MatDuplicate(Y, MAT_DO_NOT_COPY_VALUES, &X)); 311 PetscCall(KSPMatSolve(sksp[i], Y, X)); 312 313 PetscCall(ISGetLocalSize(sI[i], &nri)); 314 PetscCall(ISGetLocalSize(sG[i], &nrg)); 315 PetscCall(ISGetIndices(sI[i], &ri)); 316 PetscCall(ISGetIndices(sG[i], &rg)); 317 PetscCall(MatGetSize(sGf[i], NULL, &ncg)); 318 319 PetscCall(MatDenseGetArrayRead(X, &v)); 320 PetscCall(MatSetValues(*cspace, nri, ri, ncg, cidx + c, v, INSERT_VALUES)); 321 PetscCall(MatDenseRestoreArrayRead(X, &v)); 322 PetscCall(MatDenseGetArrayRead(sGf[i], &v)); 323 PetscCall(MatSetValues(*cspace, nrg, rg, ncg, cidx + c, v, INSERT_VALUES)); 324 PetscCall(MatDenseRestoreArrayRead(sGf[i], &v)); 325 PetscCall(ISRestoreIndices(sI[i], &ri)); 326 PetscCall(ISRestoreIndices(sG[i], &rg)); 327 PetscCall(MatDestroy(&Y)); 328 PetscCall(MatDestroy(&X)); 329 } 330 PetscCall(ISRestoreIndices(cG, &cidx)); 331 PetscCall(ISDestroy(&cG)); 332 PetscCall(MatAssemblyBegin(*cspace, MAT_FINAL_ASSEMBLY)); 333 PetscCall(MatAssemblyEnd(*cspace, MAT_FINAL_ASSEMBLY)); 334 335 for (i = 0; i < ns; i++) { 336 PetscCall(KSPDestroy(&sksp[i])); 337 PetscCall(ISDestroy(&sI[i])); 338 PetscCall(ISDestroy(&sG[i])); 339 PetscCall(ISDestroy(&sGi[i])); 340 PetscCall(ISDestroy(&sGiM[i])); 341 PetscCall(MatDestroy(&sGf[i])); 342 PetscCall(MatDestroy(&sA_IG[i])); 343 } 344 PetscCall(PetscFree(sksp)); 345 PetscCall(PetscFree(sI)); 346 PetscCall(PetscFree(sG)); 347 PetscCall(PetscFree(sGi)); 348 PetscCall(PetscFree(sGiM)); 349 PetscCall(PetscFree(sGf)); 350 PetscCall(PetscFree(sA_IG)); 351 PetscFunctionReturn(PETSC_SUCCESS); 352 } 353