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 *Bwork; 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 } 275 276 /* IE block */ 277 for (i=0;i<sub_schurs->n_subs;i++) { 278 ierr = MatGetSubMatrix(A_IB,is_I,is_subset_B[i],MAT_INITIAL_MATRIX,&AE_IE[i]);CHKERRQ(ierr); 279 } 280 281 /* EI block */ 282 for (i=0;i<sub_schurs->n_subs;i++) { 283 if (sub_schurs->is_hermitian) { 284 ierr = MatCreateTranspose(AE_IE[i],&AE_EI[i]);CHKERRQ(ierr); 285 } else { 286 ierr = MatGetSubMatrix(A_BI,is_subset_B[i],is_I,MAT_INITIAL_MATRIX,&AE_EI[i]);CHKERRQ(ierr); 287 } 288 } 289 290 /* setup Schur complements on subset */ 291 for (i=0;i<sub_schurs->n_subs;i++) { 292 ierr = MatDestroy(&sub_schurs->S_Ej[i]);CHKERRQ(ierr); 293 ierr = MatCreateSchurComplement(AE_II,AE_II,AE_IE[i],AE_EI[i],AE_EE[i],&sub_schurs->S_Ej[i]);CHKERRQ(ierr); 294 ierr = MatDestroy(&AE_EE[i]);CHKERRQ(ierr); 295 ierr = MatDestroy(&AE_IE[i]);CHKERRQ(ierr); 296 ierr = MatDestroy(&AE_EI[i]);CHKERRQ(ierr); 297 if (AE_II == A_II) { /* we can reuse the same ksp */ 298 KSP ksp; 299 ierr = MatSchurComplementGetKSP(sub_schurs->S,&ksp);CHKERRQ(ierr); 300 ierr = MatSchurComplementSetKSP(sub_schurs->S_Ej[i],ksp);CHKERRQ(ierr); 301 } else { /* build new ksp object which inherits ksp and pc types from the original one */ 302 KSP origksp,schurksp; 303 PC origpc,schurpc; 304 KSPType ksp_type; 305 PCType pc_type; 306 PetscInt n_internal; 307 308 ierr = MatSchurComplementGetKSP(sub_schurs->S,&origksp);CHKERRQ(ierr); 309 ierr = MatSchurComplementGetKSP(sub_schurs->S_Ej[i],&schurksp);CHKERRQ(ierr); 310 ierr = KSPGetType(origksp,&ksp_type);CHKERRQ(ierr); 311 ierr = KSPSetType(schurksp,ksp_type);CHKERRQ(ierr); 312 ierr = KSPGetPC(schurksp,&schurpc);CHKERRQ(ierr); 313 ierr = KSPGetPC(origksp,&origpc);CHKERRQ(ierr); 314 ierr = PCGetType(origpc,&pc_type);CHKERRQ(ierr); 315 ierr = PCSetType(schurpc,pc_type);CHKERRQ(ierr); 316 ierr = ISGetSize(is_I,&n_internal);CHKERRQ(ierr); 317 if (n_internal) { /* UMFPACK gives error with 0 sized problems */ 318 MatSolverPackage solver=NULL; 319 ierr = PCFactorGetMatSolverPackage(origpc,(const MatSolverPackage*)&solver);CHKERRQ(ierr); 320 if (solver) { 321 ierr = PCFactorSetMatSolverPackage(schurpc,solver);CHKERRQ(ierr); 322 } 323 } 324 ierr = KSPSetUp(schurksp);CHKERRQ(ierr); 325 } 326 } 327 /* free */ 328 ierr = ISDestroy(&is_I);CHKERRQ(ierr); 329 ierr = MatDestroy(&AE_II);CHKERRQ(ierr); 330 for (i=0;i<sub_schurs->n_subs;i++) { 331 ierr = ISDestroy(&is_subset_B[i]);CHKERRQ(ierr); 332 } 333 ierr = PetscFree4(is_subset_B,AE_IE,AE_EI,AE_EE);CHKERRQ(ierr); 334 #if defined(PETSC_HAVE_MUMPS) 335 } else { 336 Mat A,F; 337 IS is_A_all; 338 PetscInt *idxs_schur,n_I; 339 340 /* get working mat */ 341 ierr = ISGetLocalSize(sub_schurs->is_I_layer,&n_I);CHKERRQ(ierr); 342 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size+n_I,all_local_idx_N,PETSC_COPY_VALUES,&is_A_all);CHKERRQ(ierr); 343 ierr = MatGetSubMatrixUnsorted(sub_schurs->A,is_A_all,is_A_all,MAT_INITIAL_MATRIX,&A);CHKERRQ(ierr); 344 ierr = ISDestroy(&is_A_all);CHKERRQ(ierr); 345 346 if (n_I) { 347 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 348 ierr = MatGetFactor(A,MATSOLVERMUMPS,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr); 349 } else { 350 ierr = MatGetFactor(A,MATSOLVERMUMPS,MAT_FACTOR_LU,&F);CHKERRQ(ierr); 351 } 352 353 /* subsets ordered last */ 354 ierr = PetscMalloc1(local_size,&idxs_schur);CHKERRQ(ierr); 355 for (i=0;i<local_size;i++) { 356 idxs_schur[i] = n_I+i+1; 357 } 358 ierr = MatMumpsSetSchurIndices(F,local_size,idxs_schur);CHKERRQ(ierr); 359 ierr = PetscFree(idxs_schur);CHKERRQ(ierr); 360 361 /* factorization step */ 362 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 363 ierr = MatCholeskyFactorSymbolic(F,A,NULL,NULL);CHKERRQ(ierr); 364 ierr = MatCholeskyFactorNumeric(F,A,NULL);CHKERRQ(ierr); 365 } else { 366 ierr = MatLUFactorSymbolic(F,A,NULL,NULL,NULL);CHKERRQ(ierr); 367 ierr = MatLUFactorNumeric(F,A,NULL);CHKERRQ(ierr); 368 } 369 370 /* get explicit Schur Complement computed during numeric factorization */ 371 ierr = MatMumpsGetSchurComplement(F,&S_all);CHKERRQ(ierr); 372 ierr = MatDestroy(&F);CHKERRQ(ierr); 373 } else { 374 ierr = MatConvert(A,MATSEQDENSE,MAT_INITIAL_MATRIX,&S_all);CHKERRQ(ierr); 375 } 376 ierr = MatDestroy(&A);CHKERRQ(ierr); 377 #endif 378 } 379 } else { 380 ierr = PetscFree(nnz);CHKERRQ(ierr); 381 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 382 } 383 384 if (!sub_schurs->n_subs_seq_g) { 385 PetscFunctionReturn(0); 386 } 387 388 /* subset indices in local boundary numbering */ 389 if (!sub_schurs->is_Ej_all) { 390 ierr = ISGlobalToLocalMappingApply(sub_schurs->BtoNmap,IS_GTOLM_DROP,local_size,all_local_idx_N+extra,&subset_size,all_local_idx_B);CHKERRQ(ierr); 391 if (subset_size != local_size) { 392 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in sub_schurs serial (BtoNmap)! %d != %d\n",subset_size,local_size); 393 } 394 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&sub_schurs->is_Ej_all);CHKERRQ(ierr); 395 } 396 397 /* Local matrix of all local Schur on subsets transposed */ 398 if (!sub_schurs->S_Ej_all) { 399 ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->S_Ej_all);CHKERRQ(ierr); 400 ierr = MatSetSizes(sub_schurs->S_Ej_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 401 ierr = MatSetType(sub_schurs->S_Ej_all,MATAIJ);CHKERRQ(ierr); 402 ierr = MatSeqAIJSetPreallocation(sub_schurs->S_Ej_all,0,nnz);CHKERRQ(ierr); 403 } else { 404 ierr = MatZeroEntries(sub_schurs->S_Ej_all);CHKERRQ(ierr); 405 } 406 407 S_Ej_tilda_all = 0; 408 S_Ej_inv_all = 0; 409 Bwork = NULL; 410 pivots = NULL; 411 if (sub_schurs->n_subs && deluxe && compute_Stilda) { /* workspace needed only for GETRI */ 412 PetscScalar lwork; 413 414 B_lwork = -1; 415 ierr = PetscBLASIntCast(max_subset_size_seq,&B_N);CHKERRQ(ierr); 416 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 417 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,Bwork,&B_N,pivots,&lwork,&B_lwork,&B_ierr)); 418 ierr = PetscFPTrapPop();CHKERRQ(ierr); 419 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr); 420 ierr = PetscBLASIntCast((PetscInt)lwork,&B_lwork);CHKERRQ(ierr); 421 ierr = PetscMalloc2(B_lwork,&Bwork,max_subset_size_seq,&pivots);CHKERRQ(ierr); 422 } 423 424 ierr = PetscBTMemzero(sub_schurs->n_subs,sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 425 if (!sub_schurs->use_mumps) { 426 if (sub_schurs->n_subs_seq) { 427 PetscScalar *work; 428 PetscInt *dummy_idx; 429 430 /* Work arrays */ 431 ierr = PetscMalloc2(max_subset_size_seq,&dummy_idx,max_subset_size_seq*max_subset_size_seq,&work);CHKERRQ(ierr); 432 433 /* Loop on local problems end compute Schur complements explicitly */ 434 local_size = 0; 435 for (i=0;i<sub_schurs->n_subs_seq;i++) { 436 Mat S_Ej_expl; 437 PetscInt j,lpi = sub_schurs->index_sequential[i]; 438 PetscBool Sdense; 439 440 ierr = ISGetLocalSize(sub_schurs->is_subs[lpi],&subset_size);CHKERRQ(ierr); 441 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej_expl);CHKERRQ(ierr); 442 ierr = PCBDDCComputeExplicitSchur(sub_schurs->S_Ej[lpi],sub_schurs->is_hermitian,MAT_REUSE_MATRIX,&S_Ej_expl);CHKERRQ(ierr); 443 ierr = PetscObjectTypeCompare((PetscObject)S_Ej_expl,MATSEQDENSE,&Sdense);CHKERRQ(ierr); 444 if (Sdense) { 445 for (j=0;j<subset_size;j++) { 446 dummy_idx[j]=local_size+j; 447 } 448 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 449 } else { 450 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet implemented for sparse matrices"); 451 } 452 local_size += subset_size; 453 ierr = MatDestroy(&sub_schurs->S_Ej[lpi]);CHKERRQ(ierr); 454 sub_schurs->S_Ej[lpi] = S_Ej_expl; 455 } 456 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 457 } 458 } else { 459 PetscInt *dummy_idx,n_all; 460 PetscScalar *work; 461 462 if (compute_Stilda) { 463 ierr = MatCreate(PETSC_COMM_SELF,&S_Ej_tilda_all);CHKERRQ(ierr); 464 ierr = MatSetSizes(S_Ej_tilda_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 465 ierr = MatSetType(S_Ej_tilda_all,MATAIJ);CHKERRQ(ierr); 466 ierr = MatSeqAIJSetPreallocation(S_Ej_tilda_all,0,nnz);CHKERRQ(ierr); 467 if (deluxe) { 468 ierr = MatCreate(PETSC_COMM_SELF,&S_Ej_inv_all);CHKERRQ(ierr); 469 ierr = MatSetSizes(S_Ej_inv_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 470 ierr = MatSetType(S_Ej_inv_all,MATAIJ);CHKERRQ(ierr); 471 ierr = MatSeqAIJSetPreallocation(S_Ej_inv_all,0,nnz);CHKERRQ(ierr); 472 } 473 } 474 475 if (S_all) { /* multilevel */ 476 ierr = MatGetSize(S_all,&n_all,NULL);CHKERRQ(ierr); 477 } else { 478 n_all = 0; 479 } 480 local_size = 0; 481 482 /* Work arrays */ 483 if (compute_Stilda) { 484 ierr = PetscMalloc2(max_subset_size_seq,&dummy_idx,n_all*n_all,&work);CHKERRQ(ierr); 485 } else { 486 ierr = PetscMalloc2(max_subset_size_seq,&dummy_idx,0,&work);CHKERRQ(ierr); 487 } 488 489 for (i=0;i<sub_schurs->n_subs;i++) { 490 IS is_E; 491 PetscScalar *vals; 492 PetscInt j; 493 494 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 495 for (j=0;j<subset_size;j++) { 496 dummy_idx[j]=local_size+j; 497 } 498 ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),subset_size,local_size,1,&is_E);CHKERRQ(ierr); 499 if (sub_schurs->S_Ej[i]) { 500 ierr = MatGetSubMatrix(S_all,is_E,is_E,MAT_REUSE_MATRIX,&sub_schurs->S_Ej[i]);CHKERRQ(ierr); 501 } else { 502 ierr = MatGetSubMatrix(S_all,is_E,is_E,MAT_INITIAL_MATRIX,&sub_schurs->S_Ej[i]);CHKERRQ(ierr); 503 } 504 ierr = MatDenseGetArray(sub_schurs->S_Ej[i],&vals);CHKERRQ(ierr); 505 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,vals,INSERT_VALUES);CHKERRQ(ierr); 506 ierr = MatDenseRestoreArray(sub_schurs->S_Ej[i],&vals);CHKERRQ(ierr); 507 508 if (compute_Stilda && ((PetscBTLookup(sub_schurs->is_edge,i) && use_edges) || use_faces)) { 509 Mat Stilda; 510 511 ierr = PetscBTSet(sub_schurs->computed_Stilda_subs,i);CHKERRQ(ierr); 512 if (sub_schurs->n_subs == 1) { 513 ierr = PetscObjectReference((PetscObject)sub_schurs->S_Ej[i]);CHKERRQ(ierr); 514 Stilda = sub_schurs->S_Ej[i]; 515 } else { 516 KSP ksp; 517 PC pc; 518 Mat S_EF,S_FE,S_FF,Stilda_impl; 519 IS is_F; 520 PetscScalar eps=1.e-8; 521 PetscInt nc,cum; 522 PetscBool chop=PETSC_FALSE; 523 524 ierr = ISComplement(is_E,0,n_all,&is_F);CHKERRQ(ierr); 525 nc = n_all - subset_size; 526 cum = 0; 527 ierr = MatCreateSeqDense(PETSC_COMM_SELF,nc,nc,work+cum,&S_FF);CHKERRQ(ierr); 528 cum = nc*nc; 529 ierr = MatCreateSeqDense(PETSC_COMM_SELF,nc,subset_size,work+cum,&S_FE);CHKERRQ(ierr); 530 cum = nc*subset_size; 531 ierr = MatGetSubMatrix(S_all,is_F,is_F,MAT_REUSE_MATRIX,&S_FF);CHKERRQ(ierr); 532 ierr = MatGetSubMatrix(S_all,is_F,is_E,MAT_REUSE_MATRIX,&S_FE);CHKERRQ(ierr); 533 if (sub_schurs->is_hermitian) { /* just need a placeholder for S_EF */ 534 ierr = MatCreateTranspose(S_FE,&S_EF);CHKERRQ(ierr); 535 } else { 536 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,nc,work+cum,&S_FE);CHKERRQ(ierr); 537 cum = nc*subset_size; 538 ierr = MatGetSubMatrix(S_all,is_E,is_F,MAT_REUSE_MATRIX,&S_EF);CHKERRQ(ierr); 539 } 540 ierr = ISDestroy(&is_F);CHKERRQ(ierr); 541 if (chop) { 542 ierr = MatChop(S_FF,eps);CHKERRQ(ierr); 543 ierr = MatConvert(S_FF,MATAIJ,MAT_REUSE_MATRIX,&S_FF);CHKERRQ(ierr); 544 } 545 ierr = MatCreateSchurComplement(S_FF,S_FF,S_FE,S_EF,sub_schurs->S_Ej[i],&Stilda_impl);CHKERRQ(ierr); 546 ierr = MatDestroy(&S_FF);CHKERRQ(ierr); 547 ierr = MatDestroy(&S_FE);CHKERRQ(ierr); 548 ierr = MatDestroy(&S_EF);CHKERRQ(ierr); 549 ierr = MatSchurComplementGetKSP(Stilda_impl,&ksp);CHKERRQ(ierr); 550 ierr = KSPSetType(ksp,KSPPREONLY);CHKERRQ(ierr); 551 ierr = KSPGetPC(ksp,&pc);CHKERRQ(ierr); 552 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 553 ierr = PCSetType(pc,PCCHOLESKY);CHKERRQ(ierr); 554 } else { 555 ierr = PCSetType(pc,PCLU);CHKERRQ(ierr); 556 } 557 if (!chop) { 558 ierr = PCFactorSetUseInPlace(pc,PETSC_TRUE);CHKERRQ(ierr); 559 } else { 560 ierr = PCFactorSetMatSolverPackage(pc,MATSOLVERMUMPS);CHKERRQ(ierr); 561 } 562 ierr = KSPSetUp(ksp);CHKERRQ(ierr); 563 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work+cum,&Stilda);CHKERRQ(ierr); 564 ierr = PCBDDCComputeExplicitSchur(Stilda_impl,sub_schurs->is_hermitian,MAT_REUSE_MATRIX,&Stilda);CHKERRQ(ierr); 565 ierr = MatDestroy(&Stilda_impl);CHKERRQ(ierr); 566 } 567 /* 568 PetscViewerPushFormat(PETSC_VIEWER_STDOUT_SELF,PETSC_VIEWER_ASCII_MATLAB); 569 ierr = MatView(Stilda,PETSC_VIEWER_STDOUT_SELF);CHKERRQ(ierr); 570 PetscViewerPopFormat(PETSC_VIEWER_STDOUT_SELF); 571 */ 572 ierr = MatDenseGetArray(Stilda,&vals);CHKERRQ(ierr); 573 if (deluxe) { /* when using deluxe scaling, we need (S_1^-1+S_2^-1)^-1 */ 574 PetscScalar *vals2; 575 576 ierr = MatDenseGetArray(sub_schurs->S_Ej[i],&vals2);CHKERRQ(ierr); 577 /* need to be optimized (cholesky) */ 578 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 579 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 580 if (invert_Stildas) { /* Stildas can be singular */ 581 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,vals,&B_N,pivots,&B_ierr)); 582 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 583 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,vals,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 584 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 585 } 586 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,vals2,&B_N,pivots,&B_ierr)); 587 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 588 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,vals2,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 589 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 590 ierr = PetscFPTrapPop();CHKERRQ(ierr); 591 ierr = MatSetValues(S_Ej_inv_all,subset_size,dummy_idx,subset_size,dummy_idx,vals2,INSERT_VALUES);CHKERRQ(ierr); 592 ierr = MatDenseRestoreArray(sub_schurs->S_Ej[i],&vals2);CHKERRQ(ierr); 593 } 594 ierr = MatSetValues(S_Ej_tilda_all,subset_size,dummy_idx,subset_size,dummy_idx,vals,INSERT_VALUES);CHKERRQ(ierr); 595 ierr = MatDenseRestoreArray(Stilda,&vals);CHKERRQ(ierr); 596 ierr = MatDestroy(&Stilda);CHKERRQ(ierr); 597 } 598 ierr = ISDestroy(&is_E);CHKERRQ(ierr); 599 local_size += subset_size; 600 } 601 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 602 } 603 ierr = PetscFree(nnz);CHKERRQ(ierr); 604 ierr = MatDestroy(&S_all);CHKERRQ(ierr); 605 ierr = MatAssemblyBegin(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 606 ierr = MatAssemblyEnd(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 607 if (S_Ej_tilda_all) { 608 ierr = MatAssemblyBegin(S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 609 ierr = MatAssemblyEnd(S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 610 } 611 if (S_Ej_inv_all) { 612 ierr = MatAssemblyBegin(S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 613 ierr = MatAssemblyEnd(S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 614 } 615 616 /* Global matrix of all assembled Schur on subsets */ 617 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); 618 ierr = ISLocalToGlobalMappingCreate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),1,local_size,all_local_idx_G,PETSC_COPY_VALUES,&l2gmap_subsets);CHKERRQ(ierr); 619 ierr = MatCreateIS(PetscObjectComm((PetscObject)sub_schurs->l2gmap),1,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size,l2gmap_subsets,&work_mat);CHKERRQ(ierr); 620 ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subsets);CHKERRQ(ierr); 621 ierr = MatISSetLocalMat(work_mat,sub_schurs->S_Ej_all);CHKERRQ(ierr); 622 ierr = MatCreate(PetscObjectComm((PetscObject)work_mat),&global_schur_subsets);CHKERRQ(ierr); 623 ierr = MatSetSizes(global_schur_subsets,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size);CHKERRQ(ierr); 624 ierr = MatSetType(global_schur_subsets,MATMPIAIJ);CHKERRQ(ierr); 625 ierr = MatISSetMPIXAIJPreallocation_Private(work_mat,global_schur_subsets,PETSC_TRUE);CHKERRQ(ierr); 626 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 627 /* Get local part of (\sum_j S_Ej) */ 628 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 629 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)sub_schurs->l2gmap),local_size,all_local_idx_G,PETSC_OWN_POINTER,&temp_is);CHKERRQ(ierr); 630 if (sub_schurs->sum_S_Ej_all) { 631 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_REUSE_MATRIX,&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 632 } else { 633 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_INITIAL_MATRIX,&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 634 } 635 636 if (S_Ej_tilda_all) { 637 ierr = MatISSetLocalMat(work_mat,S_Ej_tilda_all);CHKERRQ(ierr); 638 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 639 if (sub_schurs->sum_S_Ej_tilda_all) { 640 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_REUSE_MATRIX,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 641 } else { 642 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_INITIAL_MATRIX,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 643 } 644 } 645 if (S_Ej_inv_all) { 646 PetscInt cum; 647 PetscScalar *array,*array2; 648 ierr = MatISSetLocalMat(work_mat,S_Ej_inv_all);CHKERRQ(ierr); 649 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 650 if (sub_schurs->sum_S_Ej_inv_all) { 651 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_REUSE_MATRIX,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 652 } else { 653 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,MAT_INITIAL_MATRIX,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 654 } 655 /* invert blocks of sum_S_Ej_inv_all */ 656 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_inv_all,&array);CHKERRQ(ierr); 657 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all,&array2);CHKERRQ(ierr); 658 cum = 0; 659 for (i=0;i<sub_schurs->n_subs;i++) { 660 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 661 if (PetscBTLookup(sub_schurs->computed_Stilda_subs,i)) { 662 /* need to be optimized (cholesky) */ 663 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 664 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 665 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array+cum,&B_N,pivots,&B_ierr)); 666 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 667 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 668 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 669 if (invert_Stildas) { /* Stildas can be singular */ 670 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array2+cum,&B_N,pivots,&B_ierr)); 671 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 672 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array2+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 673 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 674 } 675 ierr = PetscFPTrapPop();CHKERRQ(ierr); 676 } 677 cum += subset_size*subset_size; 678 } 679 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_inv_all,&array);CHKERRQ(ierr); 680 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_tilda_all,&array2);CHKERRQ(ierr); 681 } 682 683 ierr = PetscFree2(Bwork,pivots);CHKERRQ(ierr); 684 ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr); 685 ierr = MatDestroy(&S_Ej_tilda_all);CHKERRQ(ierr); 686 ierr = MatDestroy(&S_Ej_inv_all);CHKERRQ(ierr); 687 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 688 ierr = ISDestroy(&temp_is);CHKERRQ(ierr); 689 PetscFunctionReturn(0); 690 } 691 692 #undef __FUNCT__ 693 #define __FUNCT__ "PCBDDCSubSchursInit" 694 PetscErrorCode PCBDDCSubSchursInit(PCBDDCSubSchurs sub_schurs, Mat A, Mat S, IS is_I, IS is_B, PCBDDCGraph graph, ISLocalToGlobalMapping BtoNmap, PetscInt seqthreshold) 695 { 696 IS *faces,*edges,*all_cc,vertices; 697 PetscInt *index_sequential,*index_parallel; 698 PetscInt *auxlocal_sequential,*auxlocal_parallel; 699 PetscInt *auxglobal_sequential,*auxglobal_parallel; 700 PetscInt *auxmapping; 701 PetscInt i,max_subset_size; 702 PetscInt n_sequential_problems,n_local_sequential_problems,n_parallel_problems,n_local_parallel_problems; 703 PetscInt n_faces,n_edges,n_all_cc; 704 PetscBool is_sorted; 705 PetscErrorCode ierr; 706 707 PetscFunctionBegin; 708 ierr = ISSorted(is_I,&is_sorted);CHKERRQ(ierr); 709 if (!is_sorted) { 710 SETERRQ(PetscObjectComm((PetscObject)is_I),PETSC_ERR_PLIB,"IS for I dofs should be shorted"); 711 } 712 ierr = ISSorted(is_B,&is_sorted);CHKERRQ(ierr); 713 if (!is_sorted) { 714 SETERRQ(PetscObjectComm((PetscObject)is_B),PETSC_ERR_PLIB,"IS for B dofs should be shorted"); 715 } 716 717 /* reset any previous data */ 718 ierr = PCBDDCSubSchursReset(sub_schurs);CHKERRQ(ierr); 719 720 /* get index sets for faces and edges */ 721 ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 722 n_all_cc = n_faces+n_edges; 723 ierr = PetscBTCreate(n_all_cc,&sub_schurs->is_edge);CHKERRQ(ierr); 724 ierr = PetscBTCreate(n_all_cc,&sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 725 ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr); 726 for (i=0;i<n_faces;i++) { 727 all_cc[i] = faces[i]; 728 } 729 for (i=0;i<n_edges;i++) { 730 all_cc[n_faces+i] = edges[i]; 731 ierr = PetscBTSet(sub_schurs->is_edge,n_faces+i);CHKERRQ(ierr); 732 } 733 ierr = PetscFree(faces);CHKERRQ(ierr); 734 ierr = PetscFree(edges);CHKERRQ(ierr); 735 736 /* map interface's subsets */ 737 max_subset_size = 0; 738 for (i=0;i<n_all_cc;i++) { 739 PetscInt subset_size; 740 ierr = ISGetLocalSize(all_cc[i],&subset_size);CHKERRQ(ierr); 741 max_subset_size = PetscMax(max_subset_size,subset_size); 742 } 743 ierr = PetscMalloc1(max_subset_size,&auxmapping);CHKERRQ(ierr); 744 ierr = PetscMalloc2(graph->ncc,&auxlocal_sequential, 745 graph->ncc,&auxlocal_parallel);CHKERRQ(ierr); 746 ierr = PetscMalloc2(graph->ncc,&index_sequential, 747 graph->ncc,&index_parallel);CHKERRQ(ierr); 748 749 /* if threshold is negative uses all sequential problems (possibly using MUMPS) */ 750 sub_schurs->use_mumps = PETSC_FALSE; 751 if (seqthreshold < 0) { 752 seqthreshold = max_subset_size; 753 #if defined(PETSC_HAVE_MUMPS) 754 sub_schurs->use_mumps = !!A; 755 #endif 756 } 757 758 759 /* determine which problem has to be solved in parallel or sequentially */ 760 n_local_sequential_problems = 0; 761 n_local_parallel_problems = 0; 762 for (i=0;i<n_all_cc;i++) { 763 PetscInt subset_size,j,min_loc = 0; 764 const PetscInt *idxs; 765 766 ierr = ISGetLocalSize(all_cc[i],&subset_size);CHKERRQ(ierr); 767 ierr = ISGetIndices(all_cc[i],&idxs);CHKERRQ(ierr); 768 ierr = ISLocalToGlobalMappingApply(graph->l2gmap,subset_size,idxs,auxmapping);CHKERRQ(ierr); 769 for (j=1;j<subset_size;j++) { 770 if (auxmapping[j]<auxmapping[min_loc]) { 771 min_loc = j; 772 } 773 } 774 if (subset_size > seqthreshold) { 775 index_parallel[n_local_parallel_problems] = i; 776 auxlocal_parallel[n_local_parallel_problems] = idxs[min_loc]; 777 n_local_parallel_problems++; 778 } else { 779 index_sequential[n_local_sequential_problems] = i; 780 auxlocal_sequential[n_local_sequential_problems] = idxs[min_loc]; 781 n_local_sequential_problems++; 782 } 783 ierr = ISRestoreIndices(all_cc[i],&idxs);CHKERRQ(ierr); 784 } 785 786 /* Number parallel problems */ 787 auxglobal_parallel = 0; 788 ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)graph->l2gmap),graph->l2gmap,n_local_parallel_problems,auxlocal_parallel,PETSC_NULL,&n_parallel_problems,&auxglobal_parallel);CHKERRQ(ierr); 789 790 /* Number sequential problems */ 791 auxglobal_sequential = 0; 792 ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)graph->l2gmap),graph->l2gmap,n_local_sequential_problems,auxlocal_sequential,PETSC_NULL,&n_sequential_problems,&auxglobal_sequential);CHKERRQ(ierr); 793 794 /* update info in sub_schurs */ 795 if (A) { 796 PetscBool isseqaij; 797 798 ierr = PetscObjectTypeCompare((PetscObject)A,MATSEQAIJ,&isseqaij);CHKERRQ(ierr); 799 if (isseqaij) { 800 ierr = PetscObjectReference((PetscObject)A);CHKERRQ(ierr); 801 sub_schurs->A = A; 802 } else { /* SeqBAIJ matrices does not support symmetry checking, SeqSBAIJ does not support MatPermute */ 803 ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&sub_schurs->A);CHKERRQ(ierr); 804 } 805 } 806 ierr = PetscObjectReference((PetscObject)S);CHKERRQ(ierr); 807 sub_schurs->S = S; 808 ierr = PetscObjectReference((PetscObject)is_I);CHKERRQ(ierr); 809 sub_schurs->is_I = is_I; 810 ierr = PetscObjectReference((PetscObject)is_B);CHKERRQ(ierr); 811 sub_schurs->is_B = is_B; 812 ierr = PetscObjectReference((PetscObject)graph->l2gmap);CHKERRQ(ierr); 813 sub_schurs->l2gmap = graph->l2gmap; 814 ierr = PetscObjectReference((PetscObject)BtoNmap);CHKERRQ(ierr); 815 sub_schurs->BtoNmap = BtoNmap; 816 sub_schurs->n_subs_seq = n_local_sequential_problems; 817 sub_schurs->n_subs_par = n_local_parallel_problems; 818 sub_schurs->n_subs_seq_g = n_sequential_problems; 819 sub_schurs->n_subs_par_g = n_parallel_problems; 820 sub_schurs->n_subs = sub_schurs->n_subs_seq + sub_schurs->n_subs_par; 821 sub_schurs->is_subs = all_cc; 822 if (!sub_schurs->use_mumps) { /* for adaptive selection */ 823 for (i=0;i<sub_schurs->n_subs;i++) { 824 ierr = ISSort(sub_schurs->is_subs[i]);CHKERRQ(ierr); 825 } 826 } 827 sub_schurs->is_Ej_com = vertices; 828 sub_schurs->index_sequential = index_sequential; 829 sub_schurs->index_parallel = index_parallel; 830 sub_schurs->auxglobal_sequential = auxglobal_sequential; 831 sub_schurs->auxglobal_parallel = auxglobal_parallel; 832 833 834 /* allocate space for schur complements */ 835 ierr = PetscCalloc1(sub_schurs->n_subs,&sub_schurs->S_Ej);CHKERRQ(ierr); 836 sub_schurs->S_Ej_all = NULL; 837 sub_schurs->sum_S_Ej_all = NULL; 838 sub_schurs->sum_S_Ej_inv_all = NULL; 839 sub_schurs->sum_S_Ej_tilda_all = NULL; 840 sub_schurs->is_Ej_all = NULL; 841 842 /* free workspace */ 843 ierr = PetscFree(auxmapping);CHKERRQ(ierr); 844 ierr = PetscFree2(auxlocal_sequential,auxlocal_parallel);CHKERRQ(ierr); 845 846 PetscFunctionReturn(0); 847 } 848 849 #undef __FUNCT__ 850 #define __FUNCT__ "PCBDDCSubSchursCreate" 851 PetscErrorCode PCBDDCSubSchursCreate(PCBDDCSubSchurs *sub_schurs) 852 { 853 PCBDDCSubSchurs schurs_ctx; 854 PetscErrorCode ierr; 855 856 PetscFunctionBegin; 857 ierr = PetscNew(&schurs_ctx);CHKERRQ(ierr); 858 schurs_ctx->n_subs = 0; 859 *sub_schurs = schurs_ctx; 860 PetscFunctionReturn(0); 861 } 862 863 #undef __FUNCT__ 864 #define __FUNCT__ "PCBDDCSubSchursDestroy" 865 PetscErrorCode PCBDDCSubSchursDestroy(PCBDDCSubSchurs *sub_schurs) 866 { 867 PetscErrorCode ierr; 868 869 PetscFunctionBegin; 870 ierr = PCBDDCSubSchursReset(*sub_schurs);CHKERRQ(ierr); 871 ierr = PetscFree(*sub_schurs);CHKERRQ(ierr); 872 PetscFunctionReturn(0); 873 } 874 875 #undef __FUNCT__ 876 #define __FUNCT__ "PCBDDCSubSchursReset" 877 PetscErrorCode PCBDDCSubSchursReset(PCBDDCSubSchurs sub_schurs) 878 { 879 PetscInt i; 880 PetscErrorCode ierr; 881 882 PetscFunctionBegin; 883 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 884 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 885 ierr = ISDestroy(&sub_schurs->is_I);CHKERRQ(ierr); 886 ierr = ISDestroy(&sub_schurs->is_B);CHKERRQ(ierr); 887 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->l2gmap);CHKERRQ(ierr); 888 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->BtoNmap);CHKERRQ(ierr); 889 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 890 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 891 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 892 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 893 ierr = ISDestroy(&sub_schurs->is_Ej_all);CHKERRQ(ierr); 894 ierr = ISDestroy(&sub_schurs->is_Ej_com);CHKERRQ(ierr); 895 ierr = PetscBTDestroy(&sub_schurs->is_edge);CHKERRQ(ierr); 896 ierr = PetscBTDestroy(&sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 897 for (i=0;i<sub_schurs->n_subs;i++) { 898 ierr = ISDestroy(&sub_schurs->is_subs[i]);CHKERRQ(ierr); 899 ierr = MatDestroy(&sub_schurs->S_Ej[i]);CHKERRQ(ierr); 900 } 901 ierr = ISDestroy(&sub_schurs->is_I_layer);CHKERRQ(ierr); 902 if (sub_schurs->n_subs) { 903 ierr = PetscFree(sub_schurs->is_subs);CHKERRQ(ierr); 904 ierr = PetscFree(sub_schurs->S_Ej);CHKERRQ(ierr); 905 } 906 ierr = PetscFree2(sub_schurs->index_sequential,sub_schurs->index_parallel);CHKERRQ(ierr); 907 ierr = PetscFree(sub_schurs->auxglobal_sequential);CHKERRQ(ierr); 908 ierr = PetscFree(sub_schurs->auxglobal_parallel);CHKERRQ(ierr); 909 sub_schurs->n_subs = 0; 910 PetscFunctionReturn(0); 911 } 912 913 #undef __FUNCT__ 914 #define __FUNCT__ "PCBDDCAdjGetNextLayer_Private" 915 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt* queue_tip,PetscInt n_prev,PetscBT touched,PetscInt* xadj,PetscInt* adjncy,PetscInt* n_added) 916 { 917 PetscInt i,j,n; 918 PetscErrorCode ierr; 919 920 PetscFunctionBegin; 921 n = 0; 922 for (i=-n_prev;i<0;i++) { 923 PetscInt start_dof = queue_tip[i]; 924 for (j=xadj[start_dof];j<xadj[start_dof+1];j++) { 925 PetscInt dof = adjncy[j]; 926 if (!PetscBTLookup(touched,dof)) { 927 ierr = PetscBTSet(touched,dof);CHKERRQ(ierr); 928 queue_tip[n] = dof; 929 n++; 930 } 931 } 932 } 933 *n_added = n; 934 PetscFunctionReturn(0); 935 } 936