1 #include <../src/ksp/pc/impls/bddc/bddc.h> 2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h> 3 #include <petscblaslapack.h> 4 5 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt*,PetscInt,PetscBT,PetscInt*,PetscInt*,PetscInt*); 6 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat,PetscBool,MatReuse,Mat*); 7 8 #undef __FUNCT__ 9 #define __FUNCT__ "PCBDDCComputeExplicitSchur" 10 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat M, PetscBool issym, MatReuse reuse, Mat *S) 11 { 12 Mat B, C, D, Bd, Cd, AinvBd; 13 KSP ksp; 14 PC pc; 15 PetscBool isLU, isILU, isCHOL, Bdense, Cdense; 16 PetscReal fill = 2.0; 17 PetscMPIInt size; 18 PetscErrorCode ierr; 19 20 PetscFunctionBegin; 21 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)M),&size);CHKERRQ(ierr); 22 if (size != 1) { 23 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not for parallel matrices"); 24 } 25 ierr = MatSchurComplementGetSubMatrices(M, NULL, NULL, &B, &C, &D);CHKERRQ(ierr); 26 ierr = MatSchurComplementGetKSP(M, &ksp);CHKERRQ(ierr); 27 ierr = KSPGetPC(ksp, &pc);CHKERRQ(ierr); 28 ierr = PetscObjectTypeCompare((PetscObject) pc, PCLU, &isLU);CHKERRQ(ierr); 29 ierr = PetscObjectTypeCompare((PetscObject) pc, PCILU, &isILU);CHKERRQ(ierr); 30 ierr = PetscObjectTypeCompare((PetscObject) pc, PCCHOLESKY, &isCHOL);CHKERRQ(ierr); 31 ierr = PetscObjectTypeCompare((PetscObject) B, MATSEQDENSE, &Bdense);CHKERRQ(ierr); 32 ierr = PetscObjectTypeCompare((PetscObject) C, MATSEQDENSE, &Cdense);CHKERRQ(ierr); 33 if (!Bdense) { 34 ierr = MatConvert(B, MATSEQDENSE, MAT_INITIAL_MATRIX, &Bd);CHKERRQ(ierr); 35 } else { 36 Bd = B; 37 } 38 39 if (isLU || isILU || isCHOL) { 40 Mat fact; 41 42 ierr = KSPSetUp(ksp);CHKERRQ(ierr); 43 ierr = PCFactorGetMatrix(pc, &fact);CHKERRQ(ierr); 44 ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr); 45 ierr = MatMatSolve(fact, Bd, AinvBd);CHKERRQ(ierr); 46 } else { 47 Mat Ainvd; 48 49 ierr = PCComputeExplicitOperator(pc, &Ainvd);CHKERRQ(ierr); 50 ierr = MatMatMult(Ainvd, Bd, MAT_INITIAL_MATRIX, fill, &AinvBd);CHKERRQ(ierr); 51 ierr = MatDestroy(&Ainvd);CHKERRQ(ierr); 52 } 53 if (!Bdense & !issym) { 54 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 55 } 56 57 if (!issym) { 58 if (!Cdense) { 59 ierr = MatConvert(C, MATSEQDENSE, MAT_INITIAL_MATRIX, &Cd);CHKERRQ(ierr); 60 } else { 61 Cd = C; 62 } 63 ierr = MatMatMult(Cd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 64 if (!Cdense) { 65 ierr = MatDestroy(&Cd);CHKERRQ(ierr); 66 } 67 } else { 68 ierr = MatTransposeMatMult(Bd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 69 if (!Bdense) { 70 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 71 } 72 } 73 ierr = MatDestroy(&AinvBd);CHKERRQ(ierr); 74 75 if (D) { 76 Mat Dd; 77 PetscBool Ddense; 78 79 ierr = PetscObjectTypeCompare((PetscObject)D,MATSEQDENSE,&Ddense);CHKERRQ(ierr); 80 if (!Ddense) { 81 ierr = MatConvert(D, MATSEQDENSE, MAT_INITIAL_MATRIX, &Dd);CHKERRQ(ierr); 82 } else { 83 Dd = D; 84 } 85 ierr = MatAYPX(*S,-1.0,Dd,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 86 if (!Ddense) { 87 ierr = MatDestroy(&Dd);CHKERRQ(ierr); 88 } 89 } else { 90 ierr = MatScale(*S,-1.0);CHKERRQ(ierr); 91 } 92 PetscFunctionReturn(0); 93 } 94 95 #undef __FUNCT__ 96 #define __FUNCT__ "PCBDDCSubSchursSetUp" 97 PetscErrorCode PCBDDCSubSchursSetUp(PCBDDCSubSchurs sub_schurs, PetscInt xadj[], PetscInt adjncy[], PetscInt nlayers, PetscBool compute_Stilda, PetscBool deluxe, PetscBool invert_Stildas, PetscBool use_edges, PetscBool use_faces) 98 { 99 Mat A_II,A_IB,A_BI,A_BB; 100 Mat AE_II,*AE_IE,*AE_EI,*AE_EE; 101 Mat S_all,global_schur_subsets,work_mat; 102 Mat S_Ej_tilda_all,S_Ej_inv_all; 103 ISLocalToGlobalMapping l2gmap_subsets; 104 IS is_I,*is_subset_B,temp_is; 105 PetscInt *nnz,*all_local_idx_G,*all_local_idx_B,*all_local_idx_N; 106 PetscInt i,subset_size,max_subset_size_seq; 107 PetscInt extra,local_size,global_size; 108 PetscBLASInt B_N,B_ierr,B_lwork,*pivots; 109 PetscScalar *work; 110 PetscErrorCode ierr; 111 112 PetscFunctionBegin; 113 /* get Schur complement matrices */ 114 if (!sub_schurs->use_mumps) { 115 if (compute_Stilda) { 116 SETERRQ(PetscObjectComm((PetscObject)sub_schurs->l2gmap),PETSC_ERR_SUP,"Adaptive selection of constraints requires MUMPS"); 117 } 118 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,&A_IB,&A_BI,&A_BB);CHKERRQ(ierr); 119 ierr = PetscMalloc4(sub_schurs->n_subs,&is_subset_B, 120 sub_schurs->n_subs,&AE_IE, 121 sub_schurs->n_subs,&AE_EI, 122 sub_schurs->n_subs,&AE_EE);CHKERRQ(ierr); 123 } else { 124 is_subset_B = NULL; 125 AE_IE = NULL; 126 AE_EI = NULL; 127 AE_EE = NULL; 128 } 129 130 /* determine interior problems */ 131 ierr = ISDestroy(&sub_schurs->is_I_layer);CHKERRQ(ierr); 132 ierr = ISGetLocalSize(sub_schurs->is_I,&i);CHKERRQ(ierr); 133 if (nlayers >= 0 && i) { /* Interior problems can be different from the original one */ 134 PetscBT touched; 135 const PetscInt* idx_B; 136 PetscInt n_I,n_B,n_local_dofs,n_prev_added,j,layer,*local_numbering; 137 138 if (xadj == NULL || adjncy == NULL) { 139 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Cannot request layering without adjacency"); 140 } 141 /* get sizes */ 142 ierr = ISGetLocalSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 143 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 144 145 ierr = PetscMalloc1(n_I+n_B,&local_numbering);CHKERRQ(ierr); 146 ierr = PetscBTCreate(n_I+n_B,&touched);CHKERRQ(ierr); 147 ierr = PetscBTMemzero(n_I+n_B,touched);CHKERRQ(ierr); 148 149 /* all boundary dofs must be skipped when adding layers */ 150 ierr = ISGetIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 151 for (j=0;j<n_B;j++) { 152 ierr = PetscBTSet(touched,idx_B[j]);CHKERRQ(ierr); 153 } 154 ierr = PetscMemcpy(local_numbering,idx_B,n_B*sizeof(PetscInt));CHKERRQ(ierr); 155 ierr = ISRestoreIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 156 157 /* add prescribed number of layers of dofs */ 158 n_local_dofs = n_B; 159 n_prev_added = n_B; 160 for (layer=0;layer<nlayers;layer++) { 161 PetscInt n_added; 162 if (n_local_dofs == n_I+n_B) break; 163 if (n_local_dofs > n_I+n_B) { 164 SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error querying layer %d. Out of bound access (%d > %d)",layer,n_local_dofs,n_I+n_B); 165 } 166 ierr = PCBDDCAdjGetNextLayer_Private(local_numbering+n_local_dofs,n_prev_added,touched,xadj,adjncy,&n_added);CHKERRQ(ierr); 167 n_prev_added = n_added; 168 n_local_dofs += n_added; 169 if (!n_added) break; 170 } 171 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 172 173 /* IS for I layer dofs in original numbering */ 174 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)sub_schurs->is_I),n_local_dofs-n_B,local_numbering+n_B,PETSC_COPY_VALUES,&sub_schurs->is_I_layer);CHKERRQ(ierr); 175 ierr = PetscFree(local_numbering);CHKERRQ(ierr); 176 ierr = ISSort(sub_schurs->is_I_layer);CHKERRQ(ierr); 177 /* IS for I layer dofs in I numbering */ 178 if (!sub_schurs->use_mumps) { 179 ISLocalToGlobalMapping ItoNmap; 180 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_I,&ItoNmap);CHKERRQ(ierr); 181 ierr = ISGlobalToLocalMappingApplyIS(ItoNmap,IS_GTOLM_DROP,sub_schurs->is_I_layer,&is_I);CHKERRQ(ierr); 182 ierr = ISLocalToGlobalMappingDestroy(&ItoNmap);CHKERRQ(ierr); 183 184 /* II block */ 185 ierr = MatGetSubMatrix(A_II,is_I,is_I,MAT_INITIAL_MATRIX,&AE_II);CHKERRQ(ierr); 186 } 187 } else { 188 PetscInt n_I; 189 190 /* IS for I dofs in original numbering */ 191 ierr = PetscObjectReference((PetscObject)sub_schurs->is_I);CHKERRQ(ierr); 192 sub_schurs->is_I_layer = sub_schurs->is_I; 193 194 /* IS for I dofs in I numbering (strided 1) */ 195 if (!sub_schurs->use_mumps) { 196 ierr = ISGetSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 197 ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),n_I,0,1,&is_I);CHKERRQ(ierr); 198 199 /* II block is the same */ 200 ierr = PetscObjectReference((PetscObject)A_II);CHKERRQ(ierr); 201 AE_II = A_II; 202 } 203 } 204 /* Get info on subset sizes and sum of all subsets sizes */ 205 max_subset_size_seq = 0; 206 local_size = 0; 207 for (i=0;i<sub_schurs->n_subs_seq;i++) { 208 PetscInt j = sub_schurs->index_sequential[i]; 209 ierr = ISGetLocalSize(sub_schurs->is_subs[j],&subset_size);CHKERRQ(ierr); 210 max_subset_size_seq = PetscMax(subset_size,max_subset_size_seq); 211 local_size += subset_size; 212 } 213 214 /* Work arrays for local indices */ 215 ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr); 216 extra = 0; 217 if (sub_schurs->use_mumps) { 218 ierr = ISGetLocalSize(sub_schurs->is_I_layer,&extra);CHKERRQ(ierr); 219 } 220 ierr = PetscMalloc1(local_size+extra,&all_local_idx_N);CHKERRQ(ierr); 221 if (extra) { 222 const PetscInt *idxs; 223 ierr = ISGetIndices(sub_schurs->is_I_layer,&idxs);CHKERRQ(ierr); 224 ierr = PetscMemcpy(all_local_idx_N,idxs,extra*sizeof(PetscInt));CHKERRQ(ierr); 225 ierr = ISRestoreIndices(sub_schurs->is_I_layer,&idxs);CHKERRQ(ierr); 226 } 227 ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr); 228 229 /* Get local indices in local numbering */ 230 local_size = 0; 231 for (i=0;i<sub_schurs->n_subs_seq;i++) { 232 PetscInt j; 233 const PetscInt *idxs; 234 235 PetscInt local_problem_index = sub_schurs->index_sequential[i]; 236 ierr = ISGetLocalSize(sub_schurs->is_subs[local_problem_index],&subset_size);CHKERRQ(ierr); 237 ierr = ISGetIndices(sub_schurs->is_subs[local_problem_index],&idxs);CHKERRQ(ierr); 238 /* subset indices in local numbering */ 239 ierr = PetscMemcpy(all_local_idx_N+local_size+extra,idxs,subset_size*sizeof(PetscInt));CHKERRQ(ierr); 240 ierr = ISRestoreIndices(sub_schurs->is_subs[local_problem_index],&idxs);CHKERRQ(ierr); 241 for (j=0;j<subset_size;j++) nnz[local_size+j] = subset_size; 242 local_size += subset_size; 243 } 244 245 S_all = NULL; 246 sub_schurs->is_hermitian = PETSC_FALSE; 247 sub_schurs->is_posdef = PETSC_FALSE; 248 if (sub_schurs->A) { 249 ierr = MatIsHermitian(sub_schurs->A,0.0,&sub_schurs->is_hermitian);CHKERRQ(ierr); 250 if (sub_schurs->is_hermitian) { 251 PetscScalar val; 252 Vec vec1,vec2; 253 254 ierr = MatCreateVecs(sub_schurs->A,&vec1,&vec2);CHKERRQ(ierr); 255 ierr = VecSetRandom(vec1,NULL); 256 ierr = VecCopy(vec1,vec2);CHKERRQ(ierr); 257 ierr = MatMult(sub_schurs->A,vec2,vec1);CHKERRQ(ierr); 258 ierr = VecDot(vec1,vec2,&val);CHKERRQ(ierr); 259 if (PetscRealPart(val) > 0. && PetscImaginaryPart(val) == 0.) sub_schurs->is_posdef = PETSC_TRUE; 260 ierr = VecDestroy(&vec1);CHKERRQ(ierr); 261 ierr = VecDestroy(&vec2);CHKERRQ(ierr); 262 } 263 } 264 if (sub_schurs->n_subs) { 265 if (!sub_schurs->use_mumps) { 266 /* subsets in original and boundary numbering */ 267 for (i=0;i<sub_schurs->n_subs;i++) { 268 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_subs[i],&is_subset_B[i]);CHKERRQ(ierr); 269 } 270 271 /* EE block */ 272 for (i=0;i<sub_schurs->n_subs;i++) { 273 ierr = MatGetSubMatrix(A_BB,is_subset_B[i],is_subset_B[i],MAT_INITIAL_MATRIX,&AE_EE[i]);CHKERRQ(ierr); 274 } 275 /* IE block */ 276 for (i=0;i<sub_schurs->n_subs;i++) { 277 ierr = MatGetSubMatrix(A_IB,is_I,is_subset_B[i],MAT_INITIAL_MATRIX,&AE_IE[i]);CHKERRQ(ierr); 278 } 279 /* EI block */ 280 for (i=0;i<sub_schurs->n_subs;i++) { 281 ierr = MatGetSubMatrix(A_BI,is_subset_B[i],is_I,MAT_INITIAL_MATRIX,&AE_EI[i]);CHKERRQ(ierr); 282 } 283 284 /* setup Schur complements on subset */ 285 for (i=0;i<sub_schurs->n_subs;i++) { 286 ierr = MatDestroy(&sub_schurs->S_Ej[i]);CHKERRQ(ierr); 287 ierr = MatCreateSchurComplement(AE_II,AE_II,AE_IE[i],AE_EI[i],AE_EE[i],&sub_schurs->S_Ej[i]);CHKERRQ(ierr); 288 ierr = MatDestroy(&AE_EE[i]);CHKERRQ(ierr); 289 ierr = MatDestroy(&AE_IE[i]);CHKERRQ(ierr); 290 ierr = MatDestroy(&AE_EI[i]);CHKERRQ(ierr); 291 if (AE_II == A_II) { /* we can reuse the same ksp */ 292 KSP ksp; 293 ierr = MatSchurComplementGetKSP(sub_schurs->S,&ksp);CHKERRQ(ierr); 294 ierr = MatSchurComplementSetKSP(sub_schurs->S_Ej[i],ksp);CHKERRQ(ierr); 295 } else { /* build new ksp object which inherits ksp and pc types from the original one */ 296 KSP origksp,schurksp; 297 PC origpc,schurpc; 298 KSPType ksp_type; 299 PCType pc_type; 300 PetscInt n_internal; 301 302 ierr = MatSchurComplementGetKSP(sub_schurs->S,&origksp);CHKERRQ(ierr); 303 ierr = MatSchurComplementGetKSP(sub_schurs->S_Ej[i],&schurksp);CHKERRQ(ierr); 304 ierr = KSPGetType(origksp,&ksp_type);CHKERRQ(ierr); 305 ierr = KSPSetType(schurksp,ksp_type);CHKERRQ(ierr); 306 ierr = KSPGetPC(schurksp,&schurpc);CHKERRQ(ierr); 307 ierr = KSPGetPC(origksp,&origpc);CHKERRQ(ierr); 308 ierr = PCGetType(origpc,&pc_type);CHKERRQ(ierr); 309 ierr = PCSetType(schurpc,pc_type);CHKERRQ(ierr); 310 ierr = ISGetSize(is_I,&n_internal);CHKERRQ(ierr); 311 if (n_internal) { /* UMFPACK gives error with 0 sized problems */ 312 MatSolverPackage solver=NULL; 313 ierr = PCFactorGetMatSolverPackage(origpc,(const MatSolverPackage*)&solver);CHKERRQ(ierr); 314 if (solver) { 315 ierr = PCFactorSetMatSolverPackage(schurpc,solver);CHKERRQ(ierr); 316 } 317 } 318 ierr = KSPSetUp(schurksp);CHKERRQ(ierr); 319 } 320 } 321 /* free */ 322 ierr = ISDestroy(&is_I);CHKERRQ(ierr); 323 ierr = MatDestroy(&AE_II);CHKERRQ(ierr); 324 for (i=0;i<sub_schurs->n_subs;i++) { 325 ierr = ISDestroy(&is_subset_B[i]);CHKERRQ(ierr); 326 } 327 ierr = PetscFree4(is_subset_B,AE_IE,AE_EI,AE_EE);CHKERRQ(ierr); 328 #if defined(PETSC_HAVE_MUMPS) 329 } else { 330 Mat A,F; 331 IS is_A_all; 332 PetscInt *idxs_schur,n_I; 333 334 /* get working mat */ 335 ierr = ISGetLocalSize(sub_schurs->is_I_layer,&n_I);CHKERRQ(ierr); 336 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size+n_I,all_local_idx_N,PETSC_COPY_VALUES,&is_A_all);CHKERRQ(ierr); 337 ierr = MatGetSubMatrixUnsorted(sub_schurs->A,is_A_all,is_A_all,MAT_INITIAL_MATRIX,&A);CHKERRQ(ierr); 338 ierr = ISDestroy(&is_A_all);CHKERRQ(ierr); 339 340 if (n_I) { 341 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 342 ierr = MatGetFactor(A,MATSOLVERMUMPS,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr); 343 } else { 344 ierr = MatGetFactor(A,MATSOLVERMUMPS,MAT_FACTOR_LU,&F);CHKERRQ(ierr); 345 } 346 347 /* subsets ordered last */ 348 ierr = PetscMalloc1(local_size,&idxs_schur);CHKERRQ(ierr); 349 for (i=0;i<local_size;i++) { 350 idxs_schur[i] = n_I+i+1; 351 } 352 ierr = MatMumpsSetSchurIndices(F,local_size,idxs_schur);CHKERRQ(ierr); 353 ierr = PetscFree(idxs_schur);CHKERRQ(ierr); 354 355 /* factorization step */ 356 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 357 ierr = MatCholeskyFactorSymbolic(F,A,NULL,NULL);CHKERRQ(ierr); 358 ierr = MatCholeskyFactorNumeric(F,A,NULL);CHKERRQ(ierr); 359 } else { 360 ierr = MatLUFactorSymbolic(F,A,NULL,NULL,NULL);CHKERRQ(ierr); 361 ierr = MatLUFactorNumeric(F,A,NULL);CHKERRQ(ierr); 362 } 363 364 /* get explicit Schur Complement computed during numeric factorization */ 365 ierr = MatMumpsGetSchurComplement(F,&S_all);CHKERRQ(ierr); 366 ierr = MatDestroy(&F);CHKERRQ(ierr); 367 } else { 368 ierr = MatConvert(A,MATSEQDENSE,MAT_INITIAL_MATRIX,&S_all);CHKERRQ(ierr); 369 } 370 ierr = MatDestroy(&A);CHKERRQ(ierr); 371 #endif 372 } 373 } else { 374 ierr = PetscFree(nnz);CHKERRQ(ierr); 375 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 376 } 377 378 if (!sub_schurs->n_subs_seq_g) { 379 PetscFunctionReturn(0); 380 } 381 382 /* subset indices in local boundary numbering */ 383 if (!sub_schurs->is_Ej_all) { 384 ierr = ISGlobalToLocalMappingApply(sub_schurs->BtoNmap,IS_GTOLM_DROP,local_size,all_local_idx_N+extra,&subset_size,all_local_idx_B);CHKERRQ(ierr); 385 if (subset_size != local_size) { 386 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in sub_schurs serial (BtoNmap)! %d != %d\n",subset_size,local_size); 387 } 388 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&sub_schurs->is_Ej_all);CHKERRQ(ierr); 389 } 390 391 /* Local matrix of all local Schur on subsets transposed */ 392 if (!sub_schurs->S_Ej_all) { 393 ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->S_Ej_all);CHKERRQ(ierr); 394 ierr = MatSetSizes(sub_schurs->S_Ej_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 395 ierr = MatSetType(sub_schurs->S_Ej_all,MATAIJ);CHKERRQ(ierr); 396 ierr = MatSeqAIJSetPreallocation(sub_schurs->S_Ej_all,0,nnz);CHKERRQ(ierr); 397 } else { 398 ierr = MatZeroEntries(sub_schurs->S_Ej_all);CHKERRQ(ierr); 399 } 400 401 S_Ej_tilda_all = 0; 402 S_Ej_inv_all = 0; 403 work = NULL; 404 pivots = NULL; 405 if (sub_schurs->n_subs && deluxe) { /* workspace needed only for GETRI */ 406 PetscScalar lwork; 407 408 B_lwork = -1; 409 ierr = PetscBLASIntCast(max_subset_size_seq,&B_N);CHKERRQ(ierr); 410 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 411 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,work,&B_N,pivots,&lwork,&B_lwork,&B_ierr)); 412 ierr = PetscFPTrapPop();CHKERRQ(ierr); 413 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr); 414 ierr = PetscBLASIntCast((PetscInt)lwork,&B_lwork);CHKERRQ(ierr); 415 ierr = PetscMalloc2(B_lwork,&work,max_subset_size_seq,&pivots);CHKERRQ(ierr); 416 } 417 418 ierr = PetscBTMemzero(sub_schurs->n_subs,sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 419 if (!sub_schurs->use_mumps) { 420 if (sub_schurs->n_subs_seq) { 421 PetscScalar *work; 422 PetscInt *dummy_idx; 423 424 /* Work arrays */ 425 ierr = PetscMalloc2(max_subset_size_seq,&dummy_idx,max_subset_size_seq*max_subset_size_seq,&work);CHKERRQ(ierr); 426 427 /* Loop on local problems end compute Schur complements explicitly */ 428 local_size = 0; 429 for (i=0;i<sub_schurs->n_subs_seq;i++) { 430 Mat S_Ej_expl; 431 PetscInt j,lpi = sub_schurs->index_sequential[i]; 432 PetscBool Sdense; 433 434 ierr = ISGetLocalSize(sub_schurs->is_subs[lpi],&subset_size);CHKERRQ(ierr); 435 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej_expl);CHKERRQ(ierr); 436 /* TODO manage sym flag */ 437 ierr = PCBDDCComputeExplicitSchur(sub_schurs->S_Ej[lpi],PETSC_FALSE,MAT_REUSE_MATRIX,&S_Ej_expl);CHKERRQ(ierr); 438 ierr = PetscObjectTypeCompare((PetscObject)S_Ej_expl,MATSEQDENSE,&Sdense);CHKERRQ(ierr); 439 if (Sdense) { 440 for (j=0;j<subset_size;j++) { 441 dummy_idx[j]=local_size+j; 442 } 443 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 444 } else { 445 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet implemented for sparse matrices"); 446 } 447 local_size += subset_size; 448 ierr = MatDestroy(&sub_schurs->S_Ej[lpi]);CHKERRQ(ierr); 449 sub_schurs->S_Ej[lpi] = S_Ej_expl; 450 } 451 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 452 } 453 } else { 454 PetscInt *dummy_idx,n_all; 455 PetscScalar *work; 456 457 if (compute_Stilda) { 458 ierr = MatCreate(PETSC_COMM_SELF,&S_Ej_tilda_all);CHKERRQ(ierr); 459 ierr = MatSetSizes(S_Ej_tilda_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 460 ierr = MatSetType(S_Ej_tilda_all,MATAIJ);CHKERRQ(ierr); 461 ierr = MatSeqAIJSetPreallocation(S_Ej_tilda_all,0,nnz);CHKERRQ(ierr); 462 if (deluxe) { 463 ierr = MatCreate(PETSC_COMM_SELF,&S_Ej_inv_all);CHKERRQ(ierr); 464 ierr = MatSetSizes(S_Ej_inv_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 465 ierr = MatSetType(S_Ej_inv_all,MATAIJ);CHKERRQ(ierr); 466 ierr = MatSeqAIJSetPreallocation(S_Ej_inv_all,0,nnz);CHKERRQ(ierr); 467 } 468 } 469 470 if (S_all) { /* multilevel */ 471 ierr = MatGetSize(S_all,&n_all,NULL);CHKERRQ(ierr); 472 } else { 473 n_all = 0; 474 } 475 local_size = 0; 476 /* Work arrays */ 477 ierr = PetscMalloc2(max_subset_size_seq,&dummy_idx,max_subset_size_seq*max_subset_size_seq,&work);CHKERRQ(ierr); 478 479 for (i=0;i<sub_schurs->n_subs;i++) { 480 IS is_E; 481 PetscScalar *vals; 482 PetscInt j; 483 484 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 485 for (j=0;j<subset_size;j++) { 486 dummy_idx[j]=local_size+j; 487 } 488 ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),subset_size,local_size,1,&is_E);CHKERRQ(ierr); 489 if (sub_schurs->S_Ej[i]) { 490 ierr = MatGetSubMatrix(S_all,is_E,is_E,MAT_REUSE_MATRIX,&sub_schurs->S_Ej[i]);CHKERRQ(ierr); 491 } else { 492 ierr = MatGetSubMatrix(S_all,is_E,is_E,MAT_INITIAL_MATRIX,&sub_schurs->S_Ej[i]);CHKERRQ(ierr); 493 } 494 ierr = MatDenseGetArray(sub_schurs->S_Ej[i],&vals);CHKERRQ(ierr); 495 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,vals,INSERT_VALUES);CHKERRQ(ierr); 496 ierr = MatDenseRestoreArray(sub_schurs->S_Ej[i],&vals);CHKERRQ(ierr); 497 498 if (compute_Stilda && ((PetscBTLookup(sub_schurs->is_edge,i) && use_edges) || use_faces)) { 499 ierr = PetscBTSet(sub_schurs->computed_Stilda_subs,i);CHKERRQ(ierr); 500 } 501 502 if (PetscBTLookup(sub_schurs->computed_Stilda_subs,i)) { 503 Mat Stilda; 504 if (sub_schurs->n_subs == 1) { 505 ierr = PetscObjectReference((PetscObject)sub_schurs->S_Ej[i]);CHKERRQ(ierr); 506 Stilda = sub_schurs->S_Ej[i]; 507 } else { 508 KSP ksp; 509 PC pc; 510 Mat S_EF,S_FE,S_FF,Stilda_impl; 511 IS is_F; 512 PetscScalar eps=1.e-8; 513 PetscBool chop=PETSC_FALSE; 514 515 ierr = ISComplement(is_E,0,n_all,&is_F);CHKERRQ(ierr); 516 ierr = MatGetSubMatrix(S_all,is_F,is_F,MAT_INITIAL_MATRIX,&S_FF);CHKERRQ(ierr); 517 ierr = MatGetSubMatrix(S_all,is_F,is_E,MAT_INITIAL_MATRIX,&S_FE);CHKERRQ(ierr); 518 if (sub_schurs->is_hermitian) { /* just need a placeholder for S_EF */ 519 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,n_all-subset_size,work,&S_EF);CHKERRQ(ierr); 520 } else { 521 ierr = MatGetSubMatrix(S_all,is_E,is_F,MAT_INITIAL_MATRIX,&S_EF);CHKERRQ(ierr); 522 } 523 ierr = ISDestroy(&is_F);CHKERRQ(ierr); 524 if (chop) { 525 ierr = MatChop(S_FF,eps);CHKERRQ(ierr); 526 ierr = MatConvert(S_FF,MATAIJ,MAT_REUSE_MATRIX,&S_FF);CHKERRQ(ierr); 527 } 528 ierr = MatCreateSchurComplement(S_FF,S_FF,S_FE,S_EF,sub_schurs->S_Ej[i],&Stilda_impl);CHKERRQ(ierr); 529 ierr = MatDestroy(&S_FF);CHKERRQ(ierr); 530 ierr = MatDestroy(&S_FE);CHKERRQ(ierr); 531 ierr = MatDestroy(&S_EF);CHKERRQ(ierr); 532 ierr = MatSchurComplementGetKSP(Stilda_impl,&ksp);CHKERRQ(ierr); 533 ierr = KSPSetType(ksp,KSPPREONLY);CHKERRQ(ierr); 534 ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr); 535 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 536 ierr = PCSetType(pc,PCCHOLESKY);CHKERRQ(ierr); 537 } else { 538 ierr = PCSetType(pc,PCLU);CHKERRQ(ierr); 539 } 540 if (!chop) { 541 ierr = PCFactorSetUseInPlace(pc,PETSC_TRUE);CHKERRQ(ierr); 542 } else { 543 ierr = PCFactorSetMatSolverPackage(pc,MATSOLVERMUMPS);CHKERRQ(ierr); 544 } 545 ierr = KSPSetUp(ksp);CHKERRQ(ierr); 546 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&Stilda);CHKERRQ(ierr); 547 ierr = PCBDDCComputeExplicitSchur(Stilda_impl,sub_schurs->is_hermitian,MAT_REUSE_MATRIX,&Stilda);CHKERRQ(ierr); 548 ierr = MatDestroy(&Stilda_impl);CHKERRQ(ierr); 549 } 550 /* 551 PetscViewerPushFormat(PETSC_VIEWER_STDOUT_SELF,PETSC_VIEWER_ASCII_MATLAB); 552 ierr = MatView(Stilda,PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr); 553 PetscViewerPopFormat(PETSC_VIEWER_STDOUT_SELF); 554 */ 555 ierr = MatDenseGetArray(Stilda,&vals);CHKERRQ(ierr); 556 if (deluxe) { /* when using deluxe scaling, we need (S_1^-1+S_2^-1)^-1 */ 557 PetscScalar *vals2; 558 559 ierr = MatDenseGetArray(sub_schurs->S_Ej[i],&vals2);CHKERRQ(ierr); 560 /* need to be optimized (cholesky) */ 561 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 562 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 563 if (invert_Stildas) { /* Stildas can be singular */ 564 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,vals,&B_N,pivots,&B_ierr)); 565 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 566 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,vals,&B_N,pivots,work,&B_lwork,&B_ierr)); 567 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 568 } 569 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,vals2,&B_N,pivots,&B_ierr)); 570 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 571 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,vals2,&B_N,pivots,work,&B_lwork,&B_ierr)); 572 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 573 ierr = PetscFPTrapPop();CHKERRQ(ierr); 574 ierr = MatSetValues(S_Ej_inv_all,subset_size,dummy_idx,subset_size,dummy_idx,vals2,INSERT_VALUES);CHKERRQ(ierr); 575 ierr = MatDenseRestoreArray(sub_schurs->S_Ej[i],&vals2);CHKERRQ(ierr); 576 } 577 ierr = MatSetValues(S_Ej_tilda_all,subset_size,dummy_idx,subset_size,dummy_idx,vals,INSERT_VALUES);CHKERRQ(ierr); 578 ierr = MatDenseRestoreArray(Stilda,&vals);CHKERRQ(ierr); 579 ierr = MatDestroy(&Stilda);CHKERRQ(ierr); 580 } 581 ierr = ISDestroy(&is_E);CHKERRQ(ierr); 582 local_size += subset_size; 583 } 584 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 585 } 586 ierr = PetscFree(nnz);CHKERRQ(ierr); 587 ierr = MatDestroy(&S_all);CHKERRQ(ierr); 588 ierr = MatAssemblyBegin(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 589 ierr = MatAssemblyEnd(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 590 if (S_Ej_tilda_all) { 591 ierr = MatAssemblyBegin(S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 592 ierr = MatAssemblyEnd(S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 593 } 594 if (S_Ej_inv_all) { 595 ierr = MatAssemblyBegin(S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 596 ierr = MatAssemblyEnd(S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 597 } 598 599 /* Global matrix of all assembled Schur on subsets */ 600 ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)sub_schurs->l2gmap),sub_schurs->l2gmap,local_size,all_local_idx_N+extra,PETSC_NULL,&global_size,&all_local_idx_G);CHKERRQ(ierr); 601 ierr = ISLocalToGlobalMappingCreate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),1,local_size,all_local_idx_G,PETSC_COPY_VALUES,&l2gmap_subsets);CHKERRQ(ierr); 602 ierr = MatCreateIS(PetscObjectComm((PetscObject)sub_schurs->l2gmap),1,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size,l2gmap_subsets,&work_mat);CHKERRQ(ierr); 603 ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subsets);CHKERRQ(ierr); 604 ierr = MatISSetLocalMat(work_mat,sub_schurs->S_Ej_all);CHKERRQ(ierr); 605 ierr = MatCreate(PetscObjectComm((PetscObject)work_mat),&global_schur_subsets);CHKERRQ(ierr); 606 ierr = MatSetSizes(global_schur_subsets,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size);CHKERRQ(ierr); 607 ierr = MatSetType(global_schur_subsets,MATMPIAIJ);CHKERRQ(ierr); 608 ierr = MatISSetMPIXAIJPreallocation_Private(work_mat,global_schur_subsets,PETSC_TRUE);CHKERRQ(ierr); 609 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 610 /* Get local part of (\sum_j S_Ej) */ 611 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 612 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)sub_schurs->l2gmap),local_size,all_local_idx_G,PETSC_OWN_POINTER,&temp_is);CHKERRQ(ierr); 613 if (sub_schurs->sum_S_Ej_all) { 614 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_REUSE_MATRIX,&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 615 } else { 616 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_INITIAL_MATRIX,&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 617 } 618 619 if (S_Ej_tilda_all) { 620 ierr = MatISSetLocalMat(work_mat,S_Ej_tilda_all);CHKERRQ(ierr); 621 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 622 if (sub_schurs->sum_S_Ej_tilda_all) { 623 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_REUSE_MATRIX,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 624 } else { 625 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_INITIAL_MATRIX,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 626 } 627 } 628 if (S_Ej_inv_all) { 629 PetscInt cum; 630 PetscScalar *array,*array2; 631 ierr = MatISSetLocalMat(work_mat,S_Ej_inv_all);CHKERRQ(ierr); 632 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 633 if (sub_schurs->sum_S_Ej_inv_all) { 634 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_REUSE_MATRIX,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 635 } else { 636 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_INITIAL_MATRIX,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 637 } 638 /* invert blocks of sum_S_Ej_inv_all */ 639 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_inv_all,&array);CHKERRQ(ierr); 640 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all,&array2);CHKERRQ(ierr); 641 cum = 0; 642 for (i=0;i<sub_schurs->n_subs;i++) { 643 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 644 if (PetscBTLookup(sub_schurs->computed_Stilda_subs,i)) { 645 /* need to be optimized (cholesky) */ 646 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 647 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 648 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array+cum,&B_N,pivots,&B_ierr)); 649 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 650 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array+cum,&B_N,pivots,work,&B_lwork,&B_ierr)); 651 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 652 if (invert_Stildas) { /* Stildas can be singular */ 653 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array2+cum,&B_N,pivots,&B_ierr)); 654 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 655 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array2+cum,&B_N,pivots,work,&B_lwork,&B_ierr)); 656 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 657 } 658 ierr = PetscFPTrapPop();CHKERRQ(ierr); 659 } 660 cum += subset_size*subset_size; 661 } 662 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_inv_all,&array);CHKERRQ(ierr); 663 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_tilda_all,&array2);CHKERRQ(ierr); 664 } 665 666 ierr = PetscFree2(work,pivots);CHKERRQ(ierr); 667 ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr); 668 ierr = MatDestroy(&S_Ej_tilda_all);CHKERRQ(ierr); 669 ierr = MatDestroy(&S_Ej_inv_all);CHKERRQ(ierr); 670 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 671 ierr = ISDestroy(&temp_is);CHKERRQ(ierr); 672 PetscFunctionReturn(0); 673 } 674 675 #undef __FUNCT__ 676 #define __FUNCT__ "PCBDDCSubSchursInit" 677 PetscErrorCode PCBDDCSubSchursInit(PCBDDCSubSchurs sub_schurs, Mat A, Mat S, IS is_I, IS is_B, PCBDDCGraph graph, ISLocalToGlobalMapping BtoNmap, PetscInt seqthreshold) 678 { 679 IS *faces,*edges,*all_cc,vertices; 680 PetscInt *index_sequential,*index_parallel; 681 PetscInt *auxlocal_sequential,*auxlocal_parallel; 682 PetscInt *auxglobal_sequential,*auxglobal_parallel; 683 PetscInt *auxmapping; 684 PetscInt i,max_subset_size; 685 PetscInt n_sequential_problems,n_local_sequential_problems,n_parallel_problems,n_local_parallel_problems; 686 PetscInt n_faces,n_edges,n_all_cc; 687 PetscBool is_sorted; 688 PetscErrorCode ierr; 689 690 PetscFunctionBegin; 691 ierr = ISSorted(is_I,&is_sorted);CHKERRQ(ierr); 692 if (!is_sorted) { 693 SETERRQ(PetscObjectComm((PetscObject)is_I),PETSC_ERR_PLIB,"IS for I dofs should be shorted"); 694 } 695 ierr = ISSorted(is_B,&is_sorted);CHKERRQ(ierr); 696 if (!is_sorted) { 697 SETERRQ(PetscObjectComm((PetscObject)is_B),PETSC_ERR_PLIB,"IS for B dofs should be shorted"); 698 } 699 700 /* reset any previous data */ 701 ierr = PCBDDCSubSchursReset(sub_schurs);CHKERRQ(ierr); 702 703 /* get index sets for faces and edges */ 704 ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 705 n_all_cc = n_faces+n_edges; 706 ierr = PetscBTCreate(n_all_cc,&sub_schurs->is_edge);CHKERRQ(ierr); 707 ierr = PetscBTCreate(n_all_cc,&sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 708 ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr); 709 for (i=0;i<n_faces;i++) { 710 all_cc[i] = faces[i]; 711 } 712 for (i=0;i<n_edges;i++) { 713 all_cc[n_faces+i] = edges[i]; 714 ierr = PetscBTSet(sub_schurs->is_edge,n_faces+i);CHKERRQ(ierr); 715 } 716 ierr = PetscFree(faces);CHKERRQ(ierr); 717 ierr = PetscFree(edges);CHKERRQ(ierr); 718 719 /* map interface's subsets */ 720 max_subset_size = 0; 721 for (i=0;i<n_all_cc;i++) { 722 PetscInt subset_size; 723 ierr = ISGetLocalSize(all_cc[i],&subset_size);CHKERRQ(ierr); 724 max_subset_size = PetscMax(max_subset_size,subset_size); 725 } 726 ierr = PetscMalloc1(max_subset_size,&auxmapping);CHKERRQ(ierr); 727 ierr = PetscMalloc2(graph->ncc,&auxlocal_sequential, 728 graph->ncc,&auxlocal_parallel);CHKERRQ(ierr); 729 ierr = PetscMalloc2(graph->ncc,&index_sequential, 730 graph->ncc,&index_parallel);CHKERRQ(ierr); 731 732 /* if threshold is negative uses all sequential problems (possibly using MUMPS) */ 733 sub_schurs->use_mumps = PETSC_FALSE; 734 if (seqthreshold < 0) { 735 seqthreshold = max_subset_size; 736 #if defined(PETSC_HAVE_MUMPS) 737 sub_schurs->use_mumps = !!A; 738 #endif 739 } 740 741 742 /* determine which problem has to be solved in parallel or sequentially */ 743 n_local_sequential_problems = 0; 744 n_local_parallel_problems = 0; 745 for (i=0;i<n_all_cc;i++) { 746 PetscInt subset_size,j,min_loc = 0; 747 const PetscInt *idxs; 748 749 ierr = ISGetLocalSize(all_cc[i],&subset_size);CHKERRQ(ierr); 750 ierr = ISGetIndices(all_cc[i],&idxs);CHKERRQ(ierr); 751 ierr = ISLocalToGlobalMappingApply(graph->l2gmap,subset_size,idxs,auxmapping);CHKERRQ(ierr); 752 for (j=1;j<subset_size;j++) { 753 if (auxmapping[j]<auxmapping[min_loc]) { 754 min_loc = j; 755 } 756 } 757 if (subset_size > seqthreshold) { 758 index_parallel[n_local_parallel_problems] = i; 759 auxlocal_parallel[n_local_parallel_problems] = idxs[min_loc]; 760 n_local_parallel_problems++; 761 } else { 762 index_sequential[n_local_sequential_problems] = i; 763 auxlocal_sequential[n_local_sequential_problems] = idxs[min_loc]; 764 n_local_sequential_problems++; 765 } 766 ierr = ISRestoreIndices(all_cc[i],&idxs);CHKERRQ(ierr); 767 } 768 769 /* Number parallel problems */ 770 auxglobal_parallel = 0; 771 ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)graph->l2gmap),graph->l2gmap,n_local_parallel_problems,auxlocal_parallel,PETSC_NULL,&n_parallel_problems,&auxglobal_parallel);CHKERRQ(ierr); 772 773 /* Number sequential problems */ 774 auxglobal_sequential = 0; 775 ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)graph->l2gmap),graph->l2gmap,n_local_sequential_problems,auxlocal_sequential,PETSC_NULL,&n_sequential_problems,&auxglobal_sequential);CHKERRQ(ierr); 776 777 /* update info in sub_schurs */ 778 if (sub_schurs->use_mumps && A) { 779 PetscBool isseqaij; 780 781 ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isseqaij);CHKERRQ(ierr); 782 if (isseqaij) { 783 ierr = PetscObjectReference((PetscObject)A);CHKERRQ(ierr); 784 sub_schurs->A = A; 785 } else { /* SeqBAIJ matrices does not support symmetry checking, SeqSBAIJ does not support MatPermute */ 786 ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&sub_schurs->A);CHKERRQ(ierr); 787 } 788 } 789 ierr = PetscObjectReference((PetscObject)S);CHKERRQ(ierr); 790 sub_schurs->S = S; 791 ierr = PetscObjectReference((PetscObject)is_I);CHKERRQ(ierr); 792 sub_schurs->is_I = is_I; 793 ierr = PetscObjectReference((PetscObject)is_B);CHKERRQ(ierr); 794 sub_schurs->is_B = is_B; 795 ierr = PetscObjectReference((PetscObject)graph->l2gmap);CHKERRQ(ierr); 796 sub_schurs->l2gmap = graph->l2gmap; 797 ierr = PetscObjectReference((PetscObject)BtoNmap);CHKERRQ(ierr); 798 sub_schurs->BtoNmap = BtoNmap; 799 sub_schurs->n_subs_seq = n_local_sequential_problems; 800 sub_schurs->n_subs_par = n_local_parallel_problems; 801 sub_schurs->n_subs_seq_g = n_sequential_problems; 802 sub_schurs->n_subs_par_g = n_parallel_problems; 803 sub_schurs->n_subs = sub_schurs->n_subs_seq + sub_schurs->n_subs_par; 804 sub_schurs->is_subs = all_cc; 805 if (!sub_schurs->use_mumps) { /* for adaptive selection */ 806 for (i=0;i<sub_schurs->n_subs;i++) { 807 ierr = ISSort(sub_schurs->is_subs[i]);CHKERRQ(ierr); 808 } 809 } 810 sub_schurs->is_Ej_com = vertices; 811 sub_schurs->index_sequential = index_sequential; 812 sub_schurs->index_parallel = index_parallel; 813 sub_schurs->auxglobal_sequential = auxglobal_sequential; 814 sub_schurs->auxglobal_parallel = auxglobal_parallel; 815 816 817 /* allocate space for schur complements */ 818 ierr = PetscCalloc1(sub_schurs->n_subs,&sub_schurs->S_Ej);CHKERRQ(ierr); 819 sub_schurs->S_Ej_all = NULL; 820 sub_schurs->sum_S_Ej_all = NULL; 821 sub_schurs->sum_S_Ej_inv_all = NULL; 822 sub_schurs->sum_S_Ej_tilda_all = NULL; 823 sub_schurs->is_Ej_all = NULL; 824 825 /* free workspace */ 826 ierr = PetscFree(auxmapping);CHKERRQ(ierr); 827 ierr = PetscFree2(auxlocal_sequential,auxlocal_parallel);CHKERRQ(ierr); 828 829 PetscFunctionReturn(0); 830 } 831 832 #undef __FUNCT__ 833 #define __FUNCT__ "PCBDDCSubSchursCreate" 834 PetscErrorCode PCBDDCSubSchursCreate(PCBDDCSubSchurs *sub_schurs) 835 { 836 PCBDDCSubSchurs schurs_ctx; 837 PetscErrorCode ierr; 838 839 PetscFunctionBegin; 840 ierr = PetscNew(&schurs_ctx);CHKERRQ(ierr); 841 schurs_ctx->n_subs = 0; 842 *sub_schurs = schurs_ctx; 843 PetscFunctionReturn(0); 844 } 845 846 #undef __FUNCT__ 847 #define __FUNCT__ "PCBDDCSubSchursDestroy" 848 PetscErrorCode PCBDDCSubSchursDestroy(PCBDDCSubSchurs *sub_schurs) 849 { 850 PetscErrorCode ierr; 851 852 PetscFunctionBegin; 853 ierr = PCBDDCSubSchursReset(*sub_schurs);CHKERRQ(ierr); 854 ierr = PetscFree(*sub_schurs);CHKERRQ(ierr); 855 PetscFunctionReturn(0); 856 } 857 858 #undef __FUNCT__ 859 #define __FUNCT__ "PCBDDCSubSchursReset" 860 PetscErrorCode PCBDDCSubSchursReset(PCBDDCSubSchurs sub_schurs) 861 { 862 PetscInt i; 863 PetscErrorCode ierr; 864 865 PetscFunctionBegin; 866 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 867 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 868 ierr = ISDestroy(&sub_schurs->is_I);CHKERRQ(ierr); 869 ierr = ISDestroy(&sub_schurs->is_B);CHKERRQ(ierr); 870 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->l2gmap);CHKERRQ(ierr); 871 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->BtoNmap);CHKERRQ(ierr); 872 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 873 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 874 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 875 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 876 ierr = ISDestroy(&sub_schurs->is_Ej_all);CHKERRQ(ierr); 877 ierr = ISDestroy(&sub_schurs->is_Ej_com);CHKERRQ(ierr); 878 ierr = PetscBTDestroy(&sub_schurs->is_edge);CHKERRQ(ierr); 879 ierr = PetscBTDestroy(&sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 880 for (i=0;i<sub_schurs->n_subs;i++) { 881 ierr = ISDestroy(&sub_schurs->is_subs[i]);CHKERRQ(ierr); 882 ierr = MatDestroy(&sub_schurs->S_Ej[i]);CHKERRQ(ierr); 883 } 884 ierr = ISDestroy(&sub_schurs->is_I_layer);CHKERRQ(ierr); 885 if (sub_schurs->n_subs) { 886 ierr = PetscFree(sub_schurs->is_subs);CHKERRQ(ierr); 887 ierr = PetscFree(sub_schurs->S_Ej);CHKERRQ(ierr); 888 } 889 ierr = PetscFree2(sub_schurs->index_sequential,sub_schurs->index_parallel);CHKERRQ(ierr); 890 ierr = PetscFree(sub_schurs->auxglobal_sequential);CHKERRQ(ierr); 891 ierr = PetscFree(sub_schurs->auxglobal_parallel);CHKERRQ(ierr); 892 sub_schurs->n_subs = 0; 893 PetscFunctionReturn(0); 894 } 895 896 #undef __FUNCT__ 897 #define __FUNCT__ "PCBDDCAdjGetNextLayer_Private" 898 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt* queue_tip,PetscInt n_prev,PetscBT touched,PetscInt* xadj,PetscInt* adjncy,PetscInt* n_added) 899 { 900 PetscInt i,j,n; 901 PetscErrorCode ierr; 902 903 PetscFunctionBegin; 904 n = 0; 905 for (i=-n_prev;i<0;i++) { 906 PetscInt start_dof = queue_tip[i]; 907 for (j=xadj[start_dof];j<xadj[start_dof+1];j++) { 908 PetscInt dof = adjncy[j]; 909 if (!PetscBTLookup(touched,dof)) { 910 ierr = PetscBTSet(touched,dof);CHKERRQ(ierr); 911 queue_tip[n] = dof; 912 n++; 913 } 914 } 915 } 916 *n_added = n; 917 PetscFunctionReturn(0); 918 } 919