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 static PetscErrorCode PCBDDCMumpsInteriorDestroy(PC); 8 static PetscErrorCode PCBDDCMumpsInteriorSolve(PC,Vec,Vec); 9 10 #undef __FUNCT__ 11 #define __FUNCT__ "PCBDDCMumpsInteriorSolve" 12 static PetscErrorCode PCBDDCMumpsInteriorSolve(PC pc, Vec rhs, Vec sol) 13 { 14 PCBDDCMumpsInterior ctx; 15 PetscScalar *array,*array_mumps; 16 PetscInt ival; 17 PetscErrorCode ierr; 18 19 PetscFunctionBegin; 20 ierr = PCShellGetContext(pc,(void **)&ctx);CHKERRQ(ierr); 21 ierr = MatMumpsGetIcntl(ctx->F,26,&ival);CHKERRQ(ierr); 22 ierr = MatMumpsSetIcntl(ctx->F,26,0);CHKERRQ(ierr); 23 /* copy rhs into factored matrix workspace (can it be avoided?, MatSolve_MUMPS has another copy b->x internally) */ 24 ierr = VecGetArrayRead(rhs,(const PetscScalar**)&array);CHKERRQ(ierr); 25 ierr = VecGetArray(ctx->rhs,&array_mumps);CHKERRQ(ierr); 26 ierr = PetscMemcpy(array_mumps,array,ctx->n*sizeof(PetscScalar));CHKERRQ(ierr); 27 ierr = VecRestoreArray(ctx->rhs,&array_mumps);CHKERRQ(ierr); 28 ierr = VecRestoreArrayRead(rhs,(const PetscScalar**)&array);CHKERRQ(ierr); 29 30 ierr = MatSolve(ctx->F,ctx->rhs,ctx->sol);CHKERRQ(ierr); 31 32 /* get back data to caller worskpace */ 33 ierr = VecGetArrayRead(ctx->sol,(const PetscScalar**)&array_mumps);CHKERRQ(ierr); 34 ierr = VecGetArray(sol,&array);CHKERRQ(ierr); 35 ierr = PetscMemcpy(array,array_mumps,ctx->n*sizeof(PetscScalar));CHKERRQ(ierr); 36 ierr = VecRestoreArray(sol,&array);CHKERRQ(ierr); 37 ierr = VecRestoreArrayRead(ctx->sol,(const PetscScalar**)&array_mumps);CHKERRQ(ierr); 38 ierr = MatMumpsSetIcntl(ctx->F,26,ival);CHKERRQ(ierr); 39 PetscFunctionReturn(0); 40 } 41 42 #undef __FUNCT__ 43 #define __FUNCT__ "PCBDDCMumpsInteriorDestroy" 44 static PetscErrorCode PCBDDCMumpsInteriorDestroy(PC pc) 45 { 46 PCBDDCMumpsInterior ctx; 47 PetscErrorCode ierr; 48 49 PetscFunctionBegin; 50 ierr = PCShellGetContext(pc,(void **)&ctx);CHKERRQ(ierr); 51 ierr = MatDestroy(&ctx->F);CHKERRQ(ierr); 52 ierr = VecDestroy(&ctx->sol);CHKERRQ(ierr); 53 ierr = VecDestroy(&ctx->rhs);CHKERRQ(ierr); 54 ierr = PetscFree(ctx);CHKERRQ(ierr); 55 PetscFunctionReturn(0); 56 } 57 58 #undef __FUNCT__ 59 #define __FUNCT__ "PCBDDCComputeExplicitSchur" 60 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat M, PetscBool issym, MatReuse reuse, Mat *S) 61 { 62 Mat B, C, D, Bd, Cd, AinvBd; 63 KSP ksp; 64 PC pc; 65 PetscBool isLU, isILU, isCHOL, Bdense, Cdense; 66 PetscReal fill = 2.0; 67 PetscInt n_I; 68 PetscMPIInt size; 69 PetscErrorCode ierr; 70 71 PetscFunctionBegin; 72 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)M),&size);CHKERRQ(ierr); 73 if (size != 1) { 74 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not for parallel matrices"); 75 } 76 if (reuse == MAT_REUSE_MATRIX) { 77 PetscBool Sdense; 78 79 ierr = PetscObjectTypeCompare((PetscObject)*S, MATSEQDENSE, &Sdense);CHKERRQ(ierr); 80 if (!Sdense) { 81 SETERRQ(PetscObjectComm((PetscObject)M),PETSC_ERR_SUP,"S should dense"); 82 } 83 } 84 ierr = MatSchurComplementGetSubMatrices(M, NULL, NULL, &B, &C, &D);CHKERRQ(ierr); 85 ierr = MatSchurComplementGetKSP(M, &ksp);CHKERRQ(ierr); 86 ierr = KSPGetPC(ksp, &pc);CHKERRQ(ierr); 87 ierr = PetscObjectTypeCompare((PetscObject) pc, PCLU, &isLU);CHKERRQ(ierr); 88 ierr = PetscObjectTypeCompare((PetscObject) pc, PCILU, &isILU);CHKERRQ(ierr); 89 ierr = PetscObjectTypeCompare((PetscObject) pc, PCCHOLESKY, &isCHOL);CHKERRQ(ierr); 90 ierr = PetscObjectTypeCompare((PetscObject) B, MATSEQDENSE, &Bdense);CHKERRQ(ierr); 91 ierr = PetscObjectTypeCompare((PetscObject) C, MATSEQDENSE, &Cdense);CHKERRQ(ierr); 92 ierr = MatGetSize(B,&n_I,NULL);CHKERRQ(ierr); 93 if (n_I) { 94 if (!Bdense) { 95 ierr = MatConvert(B, MATSEQDENSE, MAT_INITIAL_MATRIX, &Bd);CHKERRQ(ierr); 96 } else { 97 Bd = B; 98 } 99 100 if (isLU || isILU || isCHOL) { 101 Mat fact; 102 ierr = KSPSetUp(ksp);CHKERRQ(ierr); 103 ierr = PCFactorGetMatrix(pc, &fact);CHKERRQ(ierr); 104 ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr); 105 ierr = MatMatSolve(fact, Bd, AinvBd);CHKERRQ(ierr); 106 } else { 107 PetscBool ex = PETSC_TRUE; 108 109 if (ex) { 110 Mat Ainvd; 111 112 ierr = PCComputeExplicitOperator(pc, &Ainvd);CHKERRQ(ierr); 113 ierr = MatMatMult(Ainvd, Bd, MAT_INITIAL_MATRIX, fill, &AinvBd);CHKERRQ(ierr); 114 ierr = MatDestroy(&Ainvd);CHKERRQ(ierr); 115 } else { 116 Vec sol,rhs; 117 PetscScalar *arrayrhs,*arraysol; 118 PetscInt i,nrhs,n; 119 120 ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr); 121 ierr = MatGetSize(Bd,&n,&nrhs);CHKERRQ(ierr); 122 ierr = MatDenseGetArray(Bd,&arrayrhs);CHKERRQ(ierr); 123 ierr = MatDenseGetArray(AinvBd,&arraysol);CHKERRQ(ierr); 124 ierr = KSPGetSolution(ksp,&sol);CHKERRQ(ierr); 125 ierr = KSPGetRhs(ksp,&rhs);CHKERRQ(ierr); 126 for (i=0;i<nrhs;i++) { 127 ierr = VecPlaceArray(rhs,arrayrhs+i*n);CHKERRQ(ierr); 128 ierr = VecPlaceArray(sol,arraysol+i*n);CHKERRQ(ierr); 129 ierr = KSPSolve(ksp,rhs,sol);CHKERRQ(ierr); 130 ierr = VecResetArray(rhs);CHKERRQ(ierr); 131 ierr = VecResetArray(sol);CHKERRQ(ierr); 132 } 133 ierr = MatDenseRestoreArray(Bd,&arrayrhs);CHKERRQ(ierr); 134 ierr = MatDenseRestoreArray(AinvBd,&arrayrhs);CHKERRQ(ierr); 135 } 136 } 137 if (!Bdense & !issym) { 138 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 139 } 140 141 if (!issym) { 142 if (!Cdense) { 143 ierr = MatConvert(C, MATSEQDENSE, MAT_INITIAL_MATRIX, &Cd);CHKERRQ(ierr); 144 } else { 145 Cd = C; 146 } 147 ierr = MatMatMult(Cd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 148 if (!Cdense) { 149 ierr = MatDestroy(&Cd);CHKERRQ(ierr); 150 } 151 } else { 152 ierr = MatTransposeMatMult(Bd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 153 if (!Bdense) { 154 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 155 } 156 } 157 ierr = MatDestroy(&AinvBd);CHKERRQ(ierr); 158 } 159 160 if (D) { 161 Mat Dd; 162 PetscBool Ddense; 163 164 ierr = PetscObjectTypeCompare((PetscObject)D,MATSEQDENSE,&Ddense);CHKERRQ(ierr); 165 if (!Ddense) { 166 ierr = MatConvert(D, MATSEQDENSE, MAT_INITIAL_MATRIX, &Dd);CHKERRQ(ierr); 167 } else { 168 Dd = D; 169 } 170 if (n_I) { 171 ierr = MatAYPX(*S,-1.0,Dd,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 172 } else { 173 if (reuse == MAT_INITIAL_MATRIX) { 174 ierr = MatDuplicate(Dd,MAT_COPY_VALUES,S);CHKERRQ(ierr); 175 } else { 176 ierr = MatCopy(Dd,*S,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 177 } 178 } 179 if (!Ddense) { 180 ierr = MatDestroy(&Dd);CHKERRQ(ierr); 181 } 182 } else { 183 ierr = MatScale(*S,-1.0);CHKERRQ(ierr); 184 } 185 PetscFunctionReturn(0); 186 } 187 188 #undef __FUNCT__ 189 #define __FUNCT__ "PCBDDCSubSchursSetUp" 190 PetscErrorCode PCBDDCSubSchursSetUp(PCBDDCSubSchurs sub_schurs, Mat Ain, Mat Sin, PetscInt xadj[], PetscInt adjncy[], PetscInt nlayers, PetscBool faster_deluxe, PetscBool compute_Stilda, PetscBool use_edges, PetscBool use_faces) 191 { 192 Mat A_II,A_IB,A_BI,A_BB,AE_II; 193 Mat S_all,S_all_inv; 194 Mat global_schur_subsets,work_mat; 195 Mat S_Ej_tilda_all,S_Ej_inv_all; 196 ISLocalToGlobalMapping l2gmap_subsets; 197 IS is_I,temp_is; 198 PetscInt *nnz,*all_local_idx_G,*all_local_idx_N; 199 PetscInt *auxnum1,*auxnum2,*all_local_idx_G_rep; 200 PetscInt i,subset_size,max_subset_size; 201 PetscInt extra,local_size,global_size; 202 PetscBLASInt B_N,B_ierr,B_lwork,*pivots; 203 PetscScalar *Bwork; 204 PetscSubcomm subcomm; 205 PetscMPIInt color,rank; 206 MPI_Comm comm_n; 207 PetscErrorCode ierr; 208 209 PetscFunctionBegin; 210 /* update info in sub_schurs */ 211 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 212 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 213 if (Ain) { 214 PetscBool isseqaij; 215 216 ierr = PetscObjectTypeCompare((PetscObject)Ain,MATSEQAIJ,&isseqaij);CHKERRQ(ierr); 217 if (isseqaij) { 218 ierr = PetscObjectReference((PetscObject)Ain);CHKERRQ(ierr); 219 sub_schurs->A = Ain; 220 } else { /* SeqBAIJ matrices does not support symmetry checking, SeqSBAIJ does not support MatPermute */ 221 ierr = MatConvert(Ain,MATSEQAIJ,MAT_INITIAL_MATRIX,&sub_schurs->A);CHKERRQ(ierr); 222 } 223 } 224 ierr = PetscObjectReference((PetscObject)Sin);CHKERRQ(ierr); 225 sub_schurs->S = Sin; 226 if (sub_schurs->use_mumps) { 227 sub_schurs->use_mumps = (PetscBool)(!!sub_schurs->A); 228 } 229 230 /* preliminary checks */ 231 if (!sub_schurs->use_mumps && compute_Stilda) { 232 SETERRQ(PetscObjectComm((PetscObject)sub_schurs->l2gmap),PETSC_ERR_SUP,"Adaptive selection of constraints requires MUMPS"); 233 } 234 /* determine if we are dealing with hermitian positive definite problems */ 235 sub_schurs->is_hermitian = PETSC_FALSE; 236 sub_schurs->is_posdef = PETSC_FALSE; 237 if (sub_schurs->A) { 238 PetscInt lsize; 239 240 ierr = MatGetSize(sub_schurs->A,&lsize,NULL);CHKERRQ(ierr); 241 if (lsize) { 242 ierr = MatIsHermitian(sub_schurs->A,0.0,&sub_schurs->is_hermitian);CHKERRQ(ierr); 243 if (sub_schurs->is_hermitian) { 244 PetscScalar val; 245 Vec vec1,vec2; 246 247 ierr = MatCreateVecs(sub_schurs->A,&vec1,&vec2);CHKERRQ(ierr); 248 ierr = VecSetRandom(vec1,NULL); 249 ierr = VecCopy(vec1,vec2);CHKERRQ(ierr); 250 ierr = MatMult(sub_schurs->A,vec2,vec1);CHKERRQ(ierr); 251 ierr = VecDot(vec1,vec2,&val);CHKERRQ(ierr); 252 if (PetscRealPart(val) > 0. && PetscImaginaryPart(val) == 0.) sub_schurs->is_posdef = PETSC_TRUE; 253 ierr = VecDestroy(&vec1);CHKERRQ(ierr); 254 ierr = VecDestroy(&vec2);CHKERRQ(ierr); 255 } 256 } else { 257 sub_schurs->is_hermitian = PETSC_TRUE; 258 sub_schurs->is_posdef = PETSC_TRUE; 259 } 260 if (compute_Stilda && (!sub_schurs->is_hermitian || !sub_schurs->is_posdef)) { 261 SETERRQ(PetscObjectComm((PetscObject)sub_schurs->l2gmap),PETSC_ERR_SUP,"General matrix pencils are not currently supported"); 262 } 263 } 264 /* restrict work on active processes */ 265 color = 0; 266 if (!sub_schurs->n_subs) color = 1; /* this can happen if we are in a multilevel case or if the subdomain is disconnected */ 267 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&rank);CHKERRQ(ierr); 268 ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&subcomm);CHKERRQ(ierr); 269 ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr); 270 ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr); 271 ierr = PetscCommDuplicate(PetscSubcommChild(subcomm),&comm_n,NULL);CHKERRQ(ierr); 272 ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr); 273 if (!sub_schurs->n_subs) { 274 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 275 PetscFunctionReturn(0); 276 } 277 278 /* get Schur complement matrices */ 279 if (!sub_schurs->use_mumps) { 280 Mat tA_IB,tA_BI,tA_BB; 281 PetscBool isseqaij; 282 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,&tA_IB,&tA_BI,&tA_BB);CHKERRQ(ierr); 283 ierr = PetscObjectTypeCompare((PetscObject)tA_BB,MATSEQAIJ,&isseqaij);CHKERRQ(ierr); 284 if (!isseqaij) { 285 ierr = MatConvert(tA_BB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BB);CHKERRQ(ierr); 286 ierr = MatConvert(tA_IB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr); 287 ierr = MatConvert(tA_BI,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr); 288 } else { 289 ierr = PetscObjectReference((PetscObject)tA_BB);CHKERRQ(ierr); 290 A_BB = tA_BB; 291 ierr = PetscObjectReference((PetscObject)tA_IB);CHKERRQ(ierr); 292 A_IB = tA_IB; 293 ierr = PetscObjectReference((PetscObject)tA_BI);CHKERRQ(ierr); 294 A_BI = tA_BI; 295 } 296 } else { 297 A_II = NULL; 298 A_IB = NULL; 299 A_BI = NULL; 300 A_BB = NULL; 301 } 302 S_all = NULL; 303 S_all_inv = NULL; 304 S_Ej_tilda_all = NULL; 305 S_Ej_inv_all = NULL; 306 307 /* determine interior problems */ 308 ierr = ISDestroy(&sub_schurs->is_I_layer);CHKERRQ(ierr); 309 ierr = ISGetLocalSize(sub_schurs->is_I,&i);CHKERRQ(ierr); 310 if (nlayers >= 0 && i) { /* Interior problems can be different from the original one */ 311 PetscBT touched; 312 const PetscInt* idx_B; 313 PetscInt n_I,n_B,n_local_dofs,n_prev_added,j,layer,*local_numbering; 314 315 if (xadj == NULL || adjncy == NULL) { 316 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Cannot request layering without adjacency"); 317 } 318 /* get sizes */ 319 ierr = ISGetLocalSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 320 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 321 322 ierr = PetscMalloc1(n_I+n_B,&local_numbering);CHKERRQ(ierr); 323 ierr = PetscBTCreate(n_I+n_B,&touched);CHKERRQ(ierr); 324 ierr = PetscBTMemzero(n_I+n_B,touched);CHKERRQ(ierr); 325 326 /* all boundary dofs must be skipped when adding layers */ 327 ierr = ISGetIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 328 for (j=0;j<n_B;j++) { 329 ierr = PetscBTSet(touched,idx_B[j]);CHKERRQ(ierr); 330 } 331 ierr = PetscMemcpy(local_numbering,idx_B,n_B*sizeof(PetscInt));CHKERRQ(ierr); 332 ierr = ISRestoreIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 333 334 /* add prescribed number of layers of dofs */ 335 n_local_dofs = n_B; 336 n_prev_added = n_B; 337 for (layer=0;layer<nlayers;layer++) { 338 PetscInt n_added; 339 if (n_local_dofs == n_I+n_B) break; 340 if (n_local_dofs > n_I+n_B) { 341 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); 342 } 343 ierr = PCBDDCAdjGetNextLayer_Private(local_numbering+n_local_dofs,n_prev_added,touched,xadj,adjncy,&n_added);CHKERRQ(ierr); 344 n_prev_added = n_added; 345 n_local_dofs += n_added; 346 if (!n_added) break; 347 } 348 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 349 350 /* IS for I layer dofs in original numbering */ 351 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); 352 ierr = PetscFree(local_numbering);CHKERRQ(ierr); 353 ierr = ISSort(sub_schurs->is_I_layer);CHKERRQ(ierr); 354 /* IS for I layer dofs in I numbering */ 355 if (!sub_schurs->use_mumps) { 356 ISLocalToGlobalMapping ItoNmap; 357 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_I,&ItoNmap);CHKERRQ(ierr); 358 ierr = ISGlobalToLocalMappingApplyIS(ItoNmap,IS_GTOLM_DROP,sub_schurs->is_I_layer,&is_I);CHKERRQ(ierr); 359 ierr = ISLocalToGlobalMappingDestroy(&ItoNmap);CHKERRQ(ierr); 360 361 /* II block */ 362 ierr = MatGetSubMatrix(A_II,is_I,is_I,MAT_INITIAL_MATRIX,&AE_II);CHKERRQ(ierr); 363 } 364 } else { 365 PetscInt n_I; 366 367 /* IS for I dofs in original numbering */ 368 ierr = PetscObjectReference((PetscObject)sub_schurs->is_I);CHKERRQ(ierr); 369 sub_schurs->is_I_layer = sub_schurs->is_I; 370 371 /* IS for I dofs in I numbering (strided 1) */ 372 if (!sub_schurs->use_mumps) { 373 ierr = ISGetSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 374 ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),n_I,0,1,&is_I);CHKERRQ(ierr); 375 376 /* II block is the same */ 377 ierr = PetscObjectReference((PetscObject)A_II);CHKERRQ(ierr); 378 AE_II = A_II; 379 } 380 } 381 382 /* Get info on subset sizes and sum of all subsets sizes */ 383 max_subset_size = 0; 384 local_size = 0; 385 for (i=0;i<sub_schurs->n_subs;i++) { 386 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 387 max_subset_size = PetscMax(subset_size,max_subset_size); 388 local_size += subset_size; 389 } 390 391 /* Work arrays for local indices */ 392 extra = 0; 393 if (sub_schurs->use_mumps) { 394 ierr = ISGetLocalSize(sub_schurs->is_I_layer,&extra);CHKERRQ(ierr); 395 } 396 ierr = PetscMalloc1(local_size+extra,&all_local_idx_N);CHKERRQ(ierr); 397 if (extra) { 398 const PetscInt *idxs; 399 ierr = ISGetIndices(sub_schurs->is_I_layer,&idxs);CHKERRQ(ierr); 400 ierr = PetscMemcpy(all_local_idx_N,idxs,extra*sizeof(PetscInt));CHKERRQ(ierr); 401 ierr = ISRestoreIndices(sub_schurs->is_I_layer,&idxs);CHKERRQ(ierr); 402 } 403 ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr); 404 ierr = PetscMalloc2(sub_schurs->n_subs,&auxnum1,sub_schurs->n_subs,&auxnum2);CHKERRQ(ierr); 405 406 /* Get local indices in local numbering */ 407 local_size = 0; 408 for (i=0;i<sub_schurs->n_subs;i++) { 409 PetscInt j; 410 const PetscInt *idxs; 411 412 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 413 ierr = ISGetIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 414 /* start (smallest in global ordering) and multiplicity */ 415 auxnum1[i] = idxs[0]; 416 auxnum2[i] = subset_size; 417 /* subset indices in local numbering */ 418 ierr = PetscMemcpy(all_local_idx_N+local_size+extra,idxs,subset_size*sizeof(PetscInt));CHKERRQ(ierr); 419 ierr = ISRestoreIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 420 for (j=0;j<subset_size;j++) nnz[local_size+j] = subset_size; 421 local_size += subset_size; 422 } 423 424 /* allocate extra workspace needed only for GETRI */ 425 Bwork = NULL; 426 pivots = NULL; 427 if (sub_schurs->n_subs && !sub_schurs->is_hermitian) { 428 PetscScalar lwork; 429 430 B_lwork = -1; 431 ierr = PetscBLASIntCast(local_size,&B_N);CHKERRQ(ierr); 432 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 433 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,Bwork,&B_N,pivots,&lwork,&B_lwork,&B_ierr)); 434 ierr = PetscFPTrapPop();CHKERRQ(ierr); 435 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr); 436 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&B_lwork);CHKERRQ(ierr); 437 ierr = PetscMalloc2(B_lwork,&Bwork,B_N,&pivots);CHKERRQ(ierr); 438 } 439 440 /* prepare parallel matrices for summing up properly schurs on subsets */ 441 ierr = PCBDDCSubsetNumbering(comm_n,sub_schurs->l2gmap,sub_schurs->n_subs,auxnum1,auxnum2,&global_size,&all_local_idx_G_rep);CHKERRQ(ierr); 442 ierr = PetscMalloc1(local_size,&all_local_idx_G);CHKERRQ(ierr); 443 local_size = 0; 444 for (i=0;i<sub_schurs->n_subs;i++) { 445 PetscInt j; 446 for (j=0;j<auxnum2[i];j++) all_local_idx_G[local_size++] = all_local_idx_G_rep[i] + j; 447 } 448 ierr = PetscFree(all_local_idx_G_rep);CHKERRQ(ierr); 449 ierr = PetscFree2(auxnum1,auxnum2);CHKERRQ(ierr); 450 ierr = ISLocalToGlobalMappingCreate(comm_n,1,local_size,all_local_idx_G,PETSC_COPY_VALUES,&l2gmap_subsets);CHKERRQ(ierr); 451 ierr = MatCreateIS(comm_n,1,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size,l2gmap_subsets,&work_mat);CHKERRQ(ierr); 452 ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subsets);CHKERRQ(ierr); 453 ierr = MatCreate(PetscObjectComm((PetscObject)work_mat),&global_schur_subsets);CHKERRQ(ierr); 454 ierr = MatSetSizes(global_schur_subsets,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size);CHKERRQ(ierr); 455 ierr = MatSetType(global_schur_subsets,MATMPIAIJ);CHKERRQ(ierr); 456 457 /* subset indices in local boundary numbering */ 458 if (!sub_schurs->is_Ej_all) { 459 PetscInt *all_local_idx_B; 460 461 ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr); 462 ierr = ISGlobalToLocalMappingApply(sub_schurs->BtoNmap,IS_GTOLM_DROP,local_size,all_local_idx_N+extra,&subset_size,all_local_idx_B);CHKERRQ(ierr); 463 if (subset_size != local_size) { 464 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in sub_schurs serial (BtoNmap)! %d != %d\n",subset_size,local_size); 465 } 466 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&sub_schurs->is_Ej_all);CHKERRQ(ierr); 467 } 468 469 /* Local matrix of all local Schur on subsets (transposed) */ 470 if (!sub_schurs->S_Ej_all) { 471 ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->S_Ej_all);CHKERRQ(ierr); 472 ierr = MatSetSizes(sub_schurs->S_Ej_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 473 ierr = MatSetType(sub_schurs->S_Ej_all,MATAIJ);CHKERRQ(ierr); 474 ierr = MatSeqAIJSetPreallocation(sub_schurs->S_Ej_all,0,nnz);CHKERRQ(ierr); 475 } else { 476 ierr = MatZeroEntries(sub_schurs->S_Ej_all);CHKERRQ(ierr); 477 } 478 479 /* Compute Schur complements explicitly */ 480 ierr = PetscBTMemzero(sub_schurs->n_subs,sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 481 if (!sub_schurs->use_mumps) { 482 Mat S_Ej_expl; 483 PetscScalar *work; 484 PetscInt j,*dummy_idx; 485 PetscBool Sdense; 486 487 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 488 local_size = 0; 489 for (i=0;i<sub_schurs->n_subs;i++) { 490 IS is_subset_B; 491 Mat AE_EE,AE_IE,AE_EI,S_Ej; 492 493 /* subsets in original and boundary numbering */ 494 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_subs[i],&is_subset_B);CHKERRQ(ierr); 495 /* EE block */ 496 ierr = MatGetSubMatrix(A_BB,is_subset_B,is_subset_B,MAT_INITIAL_MATRIX,&AE_EE);CHKERRQ(ierr); 497 /* IE block */ 498 ierr = MatGetSubMatrix(A_IB,is_I,is_subset_B,MAT_INITIAL_MATRIX,&AE_IE);CHKERRQ(ierr); 499 /* EI block */ 500 if (sub_schurs->is_hermitian) { 501 ierr = MatCreateTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 502 } else { 503 ierr = MatGetSubMatrix(A_BI,is_subset_B,is_I,MAT_INITIAL_MATRIX,&AE_EI);CHKERRQ(ierr); 504 } 505 ierr = ISDestroy(&is_subset_B);CHKERRQ(ierr); 506 ierr = MatCreateSchurComplement(AE_II,AE_II,AE_IE,AE_EI,AE_EE,&S_Ej);CHKERRQ(ierr); 507 ierr = MatDestroy(&AE_EE);CHKERRQ(ierr); 508 ierr = MatDestroy(&AE_IE);CHKERRQ(ierr); 509 ierr = MatDestroy(&AE_EI);CHKERRQ(ierr); 510 if (AE_II == A_II) { /* we can reuse the same ksp */ 511 KSP ksp; 512 ierr = MatSchurComplementGetKSP(sub_schurs->S,&ksp);CHKERRQ(ierr); 513 ierr = MatSchurComplementSetKSP(S_Ej,ksp);CHKERRQ(ierr); 514 } else { /* build new ksp object which inherits ksp and pc types from the original one */ 515 KSP origksp,schurksp; 516 PC origpc,schurpc; 517 KSPType ksp_type; 518 PetscInt n_internal; 519 PetscBool ispcnone; 520 521 ierr = MatSchurComplementGetKSP(sub_schurs->S,&origksp);CHKERRQ(ierr); 522 ierr = MatSchurComplementGetKSP(S_Ej,&schurksp);CHKERRQ(ierr); 523 ierr = KSPGetType(origksp,&ksp_type);CHKERRQ(ierr); 524 ierr = KSPSetType(schurksp,ksp_type);CHKERRQ(ierr); 525 ierr = KSPGetPC(schurksp,&schurpc);CHKERRQ(ierr); 526 ierr = KSPGetPC(origksp,&origpc);CHKERRQ(ierr); 527 ierr = PetscObjectTypeCompare((PetscObject)origpc,PCNONE,&ispcnone);CHKERRQ(ierr); 528 if (!ispcnone) { 529 PCType pc_type; 530 ierr = PCGetType(origpc,&pc_type);CHKERRQ(ierr); 531 ierr = PCSetType(schurpc,pc_type);CHKERRQ(ierr); 532 } else { 533 ierr = PCSetType(schurpc,PCLU);CHKERRQ(ierr); 534 } 535 ierr = ISGetSize(is_I,&n_internal);CHKERRQ(ierr); 536 if (n_internal) { /* UMFPACK gives error with 0 sized problems */ 537 MatSolverPackage solver=NULL; 538 ierr = PCFactorGetMatSolverPackage(origpc,(const MatSolverPackage*)&solver);CHKERRQ(ierr); 539 if (solver) { 540 ierr = PCFactorSetMatSolverPackage(schurpc,solver);CHKERRQ(ierr); 541 } 542 } 543 ierr = KSPSetUp(schurksp);CHKERRQ(ierr); 544 } 545 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 546 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej_expl);CHKERRQ(ierr); 547 ierr = PCBDDCComputeExplicitSchur(S_Ej,sub_schurs->is_hermitian,MAT_REUSE_MATRIX,&S_Ej_expl);CHKERRQ(ierr); 548 ierr = PetscObjectTypeCompare((PetscObject)S_Ej_expl,MATSEQDENSE,&Sdense);CHKERRQ(ierr); 549 if (Sdense) { 550 for (j=0;j<subset_size;j++) { 551 dummy_idx[j]=local_size+j; 552 } 553 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 554 } else { 555 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet implemented for sparse matrices"); 556 } 557 ierr = MatDestroy(&S_Ej);CHKERRQ(ierr); 558 ierr = MatDestroy(&S_Ej_expl);CHKERRQ(ierr); 559 local_size += subset_size; 560 } 561 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 562 /* free */ 563 ierr = ISDestroy(&is_I);CHKERRQ(ierr); 564 ierr = MatDestroy(&AE_II);CHKERRQ(ierr); 565 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 566 } else { 567 Mat A,F; 568 IS is_A_all; 569 PetscScalar *work; 570 PetscInt *idxs_schur,n_I,n_I_all,*dummy_idx; 571 572 /* get working mat */ 573 ierr = ISGetLocalSize(sub_schurs->is_I_layer,&n_I);CHKERRQ(ierr); 574 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size+n_I,all_local_idx_N,PETSC_COPY_VALUES,&is_A_all);CHKERRQ(ierr); 575 ierr = MatGetSubMatrixUnsorted(sub_schurs->A,is_A_all,is_A_all,&A);CHKERRQ(ierr); 576 ierr = ISDestroy(&is_A_all);CHKERRQ(ierr); 577 578 if (n_I) { 579 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 580 ierr = MatGetFactor(A,MATSOLVERMUMPS,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr); 581 } else { 582 ierr = MatGetFactor(A,MATSOLVERMUMPS,MAT_FACTOR_LU,&F);CHKERRQ(ierr); 583 } 584 585 /* subsets ordered last */ 586 ierr = PetscMalloc1(local_size,&idxs_schur);CHKERRQ(ierr); 587 for (i=0;i<local_size;i++) { 588 idxs_schur[i] = n_I+i+1; 589 } 590 #if defined(PETSC_HAVE_MUMPS) 591 ierr = MatMumpsSetSchurIndices(F,local_size,idxs_schur);CHKERRQ(ierr); 592 #endif 593 ierr = PetscFree(idxs_schur);CHKERRQ(ierr); 594 595 /* factorization step */ 596 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 597 ierr = MatCholeskyFactorSymbolic(F,A,NULL,NULL);CHKERRQ(ierr); 598 ierr = MatCholeskyFactorNumeric(F,A,NULL);CHKERRQ(ierr); 599 } else { 600 ierr = MatLUFactorSymbolic(F,A,NULL,NULL,NULL);CHKERRQ(ierr); 601 ierr = MatLUFactorNumeric(F,A,NULL);CHKERRQ(ierr); 602 } 603 604 /* get explicit Schur Complement computed during numeric factorization */ 605 #if defined(PETSC_HAVE_MUMPS) 606 ierr = MatMumpsGetSchurComplement(F,&S_all);CHKERRQ(ierr); 607 #endif 608 609 /* we can reuse the interior solver if we are not using the economic version */ 610 ierr = ISGetLocalSize(sub_schurs->is_I,&n_I_all);CHKERRQ(ierr); 611 if (n_I == n_I_all) { 612 PCBDDCMumpsInterior msolv_ctx; 613 614 ierr = PCDestroy(&sub_schurs->interior_solver);CHKERRQ(ierr); 615 ierr = PetscNew(&msolv_ctx);CHKERRQ(ierr); 616 msolv_ctx->n = n_I; 617 ierr = PetscObjectReference((PetscObject)F);CHKERRQ(ierr); 618 msolv_ctx->F = F; 619 ierr = MatCreateVecs(F,&msolv_ctx->sol,&msolv_ctx->rhs);CHKERRQ(ierr); 620 ierr = PCCreate(PETSC_COMM_SELF,&sub_schurs->interior_solver);CHKERRQ(ierr); 621 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,NULL,NULL,NULL);CHKERRQ(ierr); 622 ierr = PCSetOperators(sub_schurs->interior_solver,A_II,A_II);CHKERRQ(ierr); 623 ierr = PCSetType(sub_schurs->interior_solver,PCSHELL);CHKERRQ(ierr); 624 ierr = PCShellSetContext(sub_schurs->interior_solver,msolv_ctx);CHKERRQ(ierr); 625 ierr = PCShellSetApply(sub_schurs->interior_solver,PCBDDCMumpsInteriorSolve);CHKERRQ(ierr); 626 ierr = PCShellSetDestroy(sub_schurs->interior_solver,PCBDDCMumpsInteriorDestroy);CHKERRQ(ierr); 627 } 628 ierr = MatDestroy(&F);CHKERRQ(ierr); 629 } else { 630 ierr = MatConvert(A,MATSEQDENSE,MAT_INITIAL_MATRIX,&S_all);CHKERRQ(ierr); 631 } 632 ierr = MatDestroy(&A);CHKERRQ(ierr); 633 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 634 635 if (compute_Stilda) { 636 ierr = MatCreate(PETSC_COMM_SELF,&S_Ej_tilda_all);CHKERRQ(ierr); 637 ierr = MatSetSizes(S_Ej_tilda_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 638 ierr = MatSetType(S_Ej_tilda_all,MATAIJ);CHKERRQ(ierr); 639 ierr = MatSeqAIJSetPreallocation(S_Ej_tilda_all,0,nnz);CHKERRQ(ierr); 640 ierr = MatCreate(PETSC_COMM_SELF,&S_Ej_inv_all);CHKERRQ(ierr); 641 ierr = MatSetSizes(S_Ej_inv_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 642 ierr = MatSetType(S_Ej_inv_all,MATAIJ);CHKERRQ(ierr); 643 ierr = MatSeqAIJSetPreallocation(S_Ej_inv_all,0,nnz);CHKERRQ(ierr); 644 645 /* compute St^-1 */ 646 if (local_size) { /* multilevel guard */ 647 PetscScalar *vals; 648 649 ierr = PetscBLASIntCast(local_size,&B_N);CHKERRQ(ierr); 650 ierr = MatDuplicate(S_all,MAT_COPY_VALUES,&S_all_inv);CHKERRQ(ierr); 651 ierr = MatDenseGetArray(S_all_inv,&vals);CHKERRQ(ierr); 652 if (!sub_schurs->is_hermitian) { 653 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,vals,&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,vals,&B_N,pivots,Bwork,&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 } else { 658 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,vals,&B_N,&B_ierr)); 659 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 660 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,vals,&B_N,&B_ierr)); 661 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 662 } 663 ierr = MatDenseRestoreArray(S_all_inv,&vals);CHKERRQ(ierr); 664 } 665 } 666 667 /* Work arrays */ 668 if (sub_schurs->n_subs == 1) { 669 ierr = PetscMalloc1(max_subset_size,&dummy_idx);CHKERRQ(ierr); 670 } else { 671 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 672 } 673 674 local_size = 0; 675 for (i=0;i<sub_schurs->n_subs;i++) { 676 Mat S_Ej; 677 IS is_E; 678 PetscInt j; 679 680 /* get S_E */ 681 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 682 if (sub_schurs->n_subs == 1) { 683 ierr = MatDenseGetArray(S_all,&work);CHKERRQ(ierr); 684 S_Ej = NULL; 685 is_E = NULL; 686 } else { 687 ierr = ISCreateStride(PETSC_COMM_SELF,subset_size,local_size,1,&is_E);CHKERRQ(ierr); 688 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej);CHKERRQ(ierr); 689 ierr = MatGetSubMatrix(S_all,is_E,is_E,MAT_REUSE_MATRIX,&S_Ej);CHKERRQ(ierr); 690 } 691 /* insert S_E values */ 692 for (j=0;j<subset_size;j++) { 693 dummy_idx[j]=local_size+j; 694 } 695 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 696 697 /* if adaptivity is requested, invert S_E and insert St_E^-1 blocks */ 698 if (compute_Stilda && ((PetscBTLookup(sub_schurs->is_edge,i) && use_edges) || (!PetscBTLookup(sub_schurs->is_edge,i) && use_faces))) { 699 /* get S_E^-1 */ 700 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 701 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 702 if (!sub_schurs->is_hermitian) { 703 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,work,&B_N,pivots,&B_ierr)); 704 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 705 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,work,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 706 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 707 } else { 708 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,work,&B_N,&B_ierr)); 709 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 710 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,work,&B_N,&B_ierr)); 711 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 712 } 713 ierr = PetscFPTrapPop();CHKERRQ(ierr); 714 ierr = MatSetValues(S_Ej_inv_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 715 716 /* get St_E^-1 */ 717 if (sub_schurs->n_subs == 1) { 718 ierr = MatDenseRestoreArray(S_all,&work);CHKERRQ(ierr); 719 ierr = MatDenseGetArray(S_all_inv,&work);CHKERRQ(ierr); 720 } else { 721 ierr = MatGetSubMatrix(S_all_inv,is_E,is_E,MAT_REUSE_MATRIX,&S_Ej);CHKERRQ(ierr); 722 } 723 ierr = MatSetValues(S_Ej_tilda_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 724 if (sub_schurs->n_subs == 1) { 725 ierr = MatDenseRestoreArray(S_all_inv,&work);CHKERRQ(ierr); 726 } 727 ierr = PetscBTSet(sub_schurs->computed_Stilda_subs,i);CHKERRQ(ierr); 728 } else if (sub_schurs->n_subs == 1) { 729 ierr = MatDenseRestoreArray(S_all,&work);CHKERRQ(ierr); 730 } 731 ierr = MatDestroy(&S_Ej);CHKERRQ(ierr); 732 ierr = ISDestroy(&is_E);CHKERRQ(ierr); 733 local_size += subset_size; 734 } 735 if (sub_schurs->n_subs == 1) { 736 ierr = PetscFree(dummy_idx);CHKERRQ(ierr); 737 } else { 738 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 739 } 740 } 741 ierr = PetscFree(nnz);CHKERRQ(ierr); 742 ierr = MatDestroy(&S_all);CHKERRQ(ierr); 743 ierr = MatDestroy(&S_all_inv);CHKERRQ(ierr); 744 ierr = MatDestroy(&A_BB);CHKERRQ(ierr); 745 ierr = MatDestroy(&A_IB);CHKERRQ(ierr); 746 ierr = MatDestroy(&A_BI);CHKERRQ(ierr); 747 ierr = MatAssemblyBegin(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 748 ierr = MatAssemblyEnd(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 749 if (compute_Stilda) { 750 ierr = MatAssemblyBegin(S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 751 ierr = MatAssemblyEnd(S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 752 ierr = MatAssemblyBegin(S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 753 ierr = MatAssemblyEnd(S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 754 } 755 756 /* Global matrix of all assembled Schur on subsets */ 757 ierr = MatISSetLocalMat(work_mat,sub_schurs->S_Ej_all);CHKERRQ(ierr); 758 ierr = MatISSetMPIXAIJPreallocation_Private(work_mat,global_schur_subsets,PETSC_TRUE);CHKERRQ(ierr); 759 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 760 761 /* Get local part of (\sum_j S_Ej) */ 762 ierr = ISCreateGeneral(comm_n,local_size,all_local_idx_G,PETSC_OWN_POINTER,&temp_is);CHKERRQ(ierr); 763 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 764 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 765 766 /* Compute explicitly (\sum_j S_Ej)^-1 (faster scaling during PCApply, needs extra work when doing setup) */ 767 if (faster_deluxe) { 768 Mat tmpmat; 769 PetscScalar *array; 770 PetscInt cum; 771 772 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all,&array);CHKERRQ(ierr); 773 cum = 0; 774 for (i=0;i<sub_schurs->n_subs;i++) { 775 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 776 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 777 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 778 if (!sub_schurs->is_hermitian) { 779 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array+cum,&B_N,pivots,&B_ierr)); 780 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 781 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 782 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 783 } else { 784 PetscInt j,k; 785 786 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,array+cum,&B_N,&B_ierr)); 787 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 788 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,array+cum,&B_N,&B_ierr)); 789 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 790 for (j=0;j<B_N;j++) { 791 for (k=j+1;k<B_N;k++) { 792 array[k*B_N+j+cum] = array[j*B_N+k+cum]; 793 } 794 } 795 } 796 ierr = PetscFPTrapPop();CHKERRQ(ierr); 797 cum += subset_size*subset_size; 798 } 799 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_all,&array);CHKERRQ(ierr); 800 ierr = MatMatMult(sub_schurs->S_Ej_all,sub_schurs->sum_S_Ej_all,MAT_INITIAL_MATRIX,1.0,&tmpmat);CHKERRQ(ierr); 801 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 802 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 803 sub_schurs->S_Ej_all = tmpmat; 804 } 805 806 /* Get local part of (\sum_j S^-1_Ej) (\sum_j St^-1_Ej) */ 807 if (compute_Stilda) { 808 ierr = MatISSetLocalMat(work_mat,S_Ej_tilda_all);CHKERRQ(ierr); 809 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 810 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 811 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 812 ierr = MatISSetLocalMat(work_mat,S_Ej_inv_all);CHKERRQ(ierr); 813 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 814 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 815 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 816 } 817 818 /* free workspace */ 819 ierr = PetscFree2(Bwork,pivots);CHKERRQ(ierr); 820 ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr); 821 ierr = MatDestroy(&S_Ej_tilda_all);CHKERRQ(ierr); 822 ierr = MatDestroy(&S_Ej_inv_all);CHKERRQ(ierr); 823 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 824 ierr = ISDestroy(&temp_is);CHKERRQ(ierr); 825 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 826 PetscFunctionReturn(0); 827 } 828 829 #undef __FUNCT__ 830 #define __FUNCT__ "PCBDDCSubSchursInit" 831 PetscErrorCode PCBDDCSubSchursInit(PCBDDCSubSchurs sub_schurs, IS is_I, IS is_B, PCBDDCGraph graph, ISLocalToGlobalMapping BtoNmap) 832 { 833 IS *faces,*edges,*all_cc,vertices; 834 PetscInt i,n_faces,n_edges,n_all_cc; 835 PetscBool is_sorted; 836 PetscErrorCode ierr; 837 838 PetscFunctionBegin; 839 ierr = ISSorted(is_I,&is_sorted);CHKERRQ(ierr); 840 if (!is_sorted) { 841 SETERRQ(PetscObjectComm((PetscObject)is_I),PETSC_ERR_PLIB,"IS for I dofs should be shorted"); 842 } 843 ierr = ISSorted(is_B,&is_sorted);CHKERRQ(ierr); 844 if (!is_sorted) { 845 SETERRQ(PetscObjectComm((PetscObject)is_B),PETSC_ERR_PLIB,"IS for B dofs should be shorted"); 846 } 847 848 /* reset any previous data */ 849 ierr = PCBDDCSubSchursReset(sub_schurs);CHKERRQ(ierr); 850 851 /* get index sets for faces and edges (already sorted by global ordering) */ 852 ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 853 n_all_cc = n_faces+n_edges; 854 ierr = PetscBTCreate(n_all_cc,&sub_schurs->is_edge);CHKERRQ(ierr); 855 ierr = PetscBTCreate(n_all_cc,&sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 856 ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr); 857 for (i=0;i<n_faces;i++) { 858 all_cc[i] = faces[i]; 859 } 860 for (i=0;i<n_edges;i++) { 861 all_cc[n_faces+i] = edges[i]; 862 ierr = PetscBTSet(sub_schurs->is_edge,n_faces+i);CHKERRQ(ierr); 863 } 864 ierr = PetscFree(faces);CHKERRQ(ierr); 865 ierr = PetscFree(edges);CHKERRQ(ierr); 866 867 /* Determine if MUMPS cane be used */ 868 sub_schurs->use_mumps = PETSC_FALSE; 869 #if defined(PETSC_HAVE_MUMPS) 870 sub_schurs->use_mumps = PETSC_TRUE; 871 #endif 872 873 ierr = PetscObjectReference((PetscObject)is_I);CHKERRQ(ierr); 874 sub_schurs->is_I = is_I; 875 ierr = PetscObjectReference((PetscObject)is_B);CHKERRQ(ierr); 876 sub_schurs->is_B = is_B; 877 ierr = PetscObjectReference((PetscObject)graph->l2gmap);CHKERRQ(ierr); 878 sub_schurs->l2gmap = graph->l2gmap; 879 ierr = PetscObjectReference((PetscObject)BtoNmap);CHKERRQ(ierr); 880 sub_schurs->BtoNmap = BtoNmap; 881 sub_schurs->n_subs = n_all_cc; 882 sub_schurs->is_subs = all_cc; 883 if (!sub_schurs->use_mumps) { /* sort by local ordering mumps is not present */ 884 for (i=0;i<sub_schurs->n_subs;i++) { 885 ierr = ISSort(sub_schurs->is_subs[i]);CHKERRQ(ierr); 886 } 887 } 888 sub_schurs->is_Ej_com = vertices; 889 890 /* allocate space for schur complements */ 891 sub_schurs->S_Ej_all = NULL; 892 sub_schurs->sum_S_Ej_all = NULL; 893 sub_schurs->sum_S_Ej_inv_all = NULL; 894 sub_schurs->sum_S_Ej_tilda_all = NULL; 895 sub_schurs->is_Ej_all = NULL; 896 PetscFunctionReturn(0); 897 } 898 899 #undef __FUNCT__ 900 #define __FUNCT__ "PCBDDCSubSchursCreate" 901 PetscErrorCode PCBDDCSubSchursCreate(PCBDDCSubSchurs *sub_schurs) 902 { 903 PCBDDCSubSchurs schurs_ctx; 904 PetscErrorCode ierr; 905 906 PetscFunctionBegin; 907 ierr = PetscNew(&schurs_ctx);CHKERRQ(ierr); 908 schurs_ctx->n_subs = 0; 909 *sub_schurs = schurs_ctx; 910 PetscFunctionReturn(0); 911 } 912 913 #undef __FUNCT__ 914 #define __FUNCT__ "PCBDDCSubSchursDestroy" 915 PetscErrorCode PCBDDCSubSchursDestroy(PCBDDCSubSchurs *sub_schurs) 916 { 917 PetscErrorCode ierr; 918 919 PetscFunctionBegin; 920 ierr = PCBDDCSubSchursReset(*sub_schurs);CHKERRQ(ierr); 921 ierr = PetscFree(*sub_schurs);CHKERRQ(ierr); 922 PetscFunctionReturn(0); 923 } 924 925 #undef __FUNCT__ 926 #define __FUNCT__ "PCBDDCSubSchursReset" 927 PetscErrorCode PCBDDCSubSchursReset(PCBDDCSubSchurs sub_schurs) 928 { 929 PetscInt i; 930 PetscErrorCode ierr; 931 932 PetscFunctionBegin; 933 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 934 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 935 ierr = ISDestroy(&sub_schurs->is_I);CHKERRQ(ierr); 936 ierr = ISDestroy(&sub_schurs->is_B);CHKERRQ(ierr); 937 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->l2gmap);CHKERRQ(ierr); 938 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->BtoNmap);CHKERRQ(ierr); 939 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 940 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 941 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 942 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 943 ierr = ISDestroy(&sub_schurs->is_Ej_all);CHKERRQ(ierr); 944 ierr = ISDestroy(&sub_schurs->is_Ej_com);CHKERRQ(ierr); 945 ierr = PetscBTDestroy(&sub_schurs->is_edge);CHKERRQ(ierr); 946 ierr = PetscBTDestroy(&sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 947 for (i=0;i<sub_schurs->n_subs;i++) { 948 ierr = ISDestroy(&sub_schurs->is_subs[i]);CHKERRQ(ierr); 949 } 950 ierr = ISDestroy(&sub_schurs->is_I_layer);CHKERRQ(ierr); 951 if (sub_schurs->n_subs) { 952 ierr = PetscFree(sub_schurs->is_subs);CHKERRQ(ierr); 953 } 954 ierr = PCDestroy(&sub_schurs->interior_solver);CHKERRQ(ierr); 955 sub_schurs->n_subs = 0; 956 PetscFunctionReturn(0); 957 } 958 959 #undef __FUNCT__ 960 #define __FUNCT__ "PCBDDCAdjGetNextLayer_Private" 961 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt* queue_tip,PetscInt n_prev,PetscBT touched,PetscInt* xadj,PetscInt* adjncy,PetscInt* n_added) 962 { 963 PetscInt i,j,n; 964 PetscErrorCode ierr; 965 966 PetscFunctionBegin; 967 n = 0; 968 for (i=-n_prev;i<0;i++) { 969 PetscInt start_dof = queue_tip[i]; 970 for (j=xadj[start_dof];j<xadj[start_dof+1];j++) { 971 PetscInt dof = adjncy[j]; 972 if (!PetscBTLookup(touched,dof)) { 973 ierr = PetscBTSet(touched,dof);CHKERRQ(ierr); 974 queue_tip[n] = dof; 975 n++; 976 } 977 } 978 } 979 *n_added = n; 980 PetscFunctionReturn(0); 981 } 982