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,is_I_layer,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 = ISGetLocalSize(sub_schurs->is_I,&i);CHKERRQ(ierr); 309 if (nlayers >= 0 && i) { /* Interior problems can be different from the original one */ 310 PetscBT touched; 311 const PetscInt* idx_B; 312 PetscInt n_I,n_B,n_local_dofs,n_prev_added,j,layer,*local_numbering; 313 314 if (xadj == NULL || adjncy == NULL) { 315 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Cannot request layering without adjacency"); 316 } 317 /* get sizes */ 318 ierr = ISGetLocalSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 319 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 320 321 ierr = PetscMalloc1(n_I+n_B,&local_numbering);CHKERRQ(ierr); 322 ierr = PetscBTCreate(n_I+n_B,&touched);CHKERRQ(ierr); 323 ierr = PetscBTMemzero(n_I+n_B,touched);CHKERRQ(ierr); 324 325 /* all boundary dofs must be skipped when adding layers */ 326 ierr = ISGetIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 327 for (j=0;j<n_B;j++) { 328 ierr = PetscBTSet(touched,idx_B[j]);CHKERRQ(ierr); 329 } 330 ierr = PetscMemcpy(local_numbering,idx_B,n_B*sizeof(PetscInt));CHKERRQ(ierr); 331 ierr = ISRestoreIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 332 333 /* add prescribed number of layers of dofs */ 334 n_local_dofs = n_B; 335 n_prev_added = n_B; 336 for (layer=0;layer<nlayers;layer++) { 337 PetscInt n_added; 338 if (n_local_dofs == n_I+n_B) break; 339 if (n_local_dofs > n_I+n_B) { 340 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); 341 } 342 ierr = PCBDDCAdjGetNextLayer_Private(local_numbering+n_local_dofs,n_prev_added,touched,xadj,adjncy,&n_added);CHKERRQ(ierr); 343 n_prev_added = n_added; 344 n_local_dofs += n_added; 345 if (!n_added) break; 346 } 347 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 348 349 /* IS for I layer dofs in original numbering */ 350 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)sub_schurs->is_I),n_local_dofs-n_B,local_numbering+n_B,PETSC_COPY_VALUES,&is_I_layer);CHKERRQ(ierr); 351 ierr = PetscFree(local_numbering);CHKERRQ(ierr); 352 ierr = ISSort(is_I_layer);CHKERRQ(ierr); 353 /* IS for I layer dofs in I numbering */ 354 if (!sub_schurs->use_mumps) { 355 ISLocalToGlobalMapping ItoNmap; 356 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_I,&ItoNmap);CHKERRQ(ierr); 357 ierr = ISGlobalToLocalMappingApplyIS(ItoNmap,IS_GTOLM_DROP,is_I_layer,&is_I);CHKERRQ(ierr); 358 ierr = ISLocalToGlobalMappingDestroy(&ItoNmap);CHKERRQ(ierr); 359 360 /* II block */ 361 ierr = MatGetSubMatrix(A_II,is_I,is_I,MAT_INITIAL_MATRIX,&AE_II);CHKERRQ(ierr); 362 } 363 } else { 364 PetscInt n_I; 365 366 /* IS for I dofs in original numbering */ 367 ierr = PetscObjectReference((PetscObject)sub_schurs->is_I);CHKERRQ(ierr); 368 is_I_layer = sub_schurs->is_I; 369 370 /* IS for I dofs in I numbering (strided 1) */ 371 if (!sub_schurs->use_mumps) { 372 ierr = ISGetSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 373 ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),n_I,0,1,&is_I);CHKERRQ(ierr); 374 375 /* II block is the same */ 376 ierr = PetscObjectReference((PetscObject)A_II);CHKERRQ(ierr); 377 AE_II = A_II; 378 } 379 } 380 381 /* Get info on subset sizes and sum of all subsets sizes */ 382 max_subset_size = 0; 383 local_size = 0; 384 for (i=0;i<sub_schurs->n_subs;i++) { 385 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 386 max_subset_size = PetscMax(subset_size,max_subset_size); 387 local_size += subset_size; 388 } 389 390 /* Work arrays for local indices */ 391 extra = 0; 392 if (sub_schurs->use_mumps) { 393 ierr = ISGetLocalSize(is_I_layer,&extra);CHKERRQ(ierr); 394 } 395 ierr = PetscMalloc1(local_size+extra,&all_local_idx_N);CHKERRQ(ierr); 396 if (extra) { 397 const PetscInt *idxs; 398 ierr = ISGetIndices(is_I_layer,&idxs);CHKERRQ(ierr); 399 ierr = PetscMemcpy(all_local_idx_N,idxs,extra*sizeof(PetscInt));CHKERRQ(ierr); 400 ierr = ISRestoreIndices(is_I_layer,&idxs);CHKERRQ(ierr); 401 } 402 ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr); 403 ierr = PetscMalloc2(sub_schurs->n_subs,&auxnum1,sub_schurs->n_subs,&auxnum2);CHKERRQ(ierr); 404 405 /* Get local indices in local numbering */ 406 local_size = 0; 407 for (i=0;i<sub_schurs->n_subs;i++) { 408 PetscInt j; 409 const PetscInt *idxs; 410 411 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 412 ierr = ISGetIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 413 /* start (smallest in global ordering) and multiplicity */ 414 auxnum1[i] = idxs[0]; 415 auxnum2[i] = subset_size; 416 /* subset indices in local numbering */ 417 ierr = PetscMemcpy(all_local_idx_N+local_size+extra,idxs,subset_size*sizeof(PetscInt));CHKERRQ(ierr); 418 ierr = ISRestoreIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 419 for (j=0;j<subset_size;j++) nnz[local_size+j] = subset_size; 420 local_size += subset_size; 421 } 422 423 /* allocate extra workspace needed only for GETRI */ 424 Bwork = NULL; 425 pivots = NULL; 426 if (sub_schurs->n_subs && !sub_schurs->is_hermitian) { 427 PetscScalar lwork; 428 429 B_lwork = -1; 430 ierr = PetscBLASIntCast(local_size,&B_N);CHKERRQ(ierr); 431 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 432 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,Bwork,&B_N,pivots,&lwork,&B_lwork,&B_ierr)); 433 ierr = PetscFPTrapPop();CHKERRQ(ierr); 434 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr); 435 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&B_lwork);CHKERRQ(ierr); 436 ierr = PetscMalloc2(B_lwork,&Bwork,B_N,&pivots);CHKERRQ(ierr); 437 } 438 439 /* prepare parallel matrices for summing up properly schurs on subsets */ 440 ierr = PCBDDCSubsetNumbering(comm_n,sub_schurs->l2gmap,sub_schurs->n_subs,auxnum1,auxnum2,&global_size,&all_local_idx_G_rep);CHKERRQ(ierr); 441 ierr = PetscMalloc1(local_size,&all_local_idx_G);CHKERRQ(ierr); 442 local_size = 0; 443 for (i=0;i<sub_schurs->n_subs;i++) { 444 PetscInt j; 445 for (j=0;j<auxnum2[i];j++) all_local_idx_G[local_size++] = all_local_idx_G_rep[i] + j; 446 } 447 ierr = PetscFree(all_local_idx_G_rep);CHKERRQ(ierr); 448 ierr = PetscFree2(auxnum1,auxnum2);CHKERRQ(ierr); 449 ierr = ISLocalToGlobalMappingCreate(comm_n,1,local_size,all_local_idx_G,PETSC_COPY_VALUES,&l2gmap_subsets);CHKERRQ(ierr); 450 ierr = MatCreateIS(comm_n,1,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size,l2gmap_subsets,&work_mat);CHKERRQ(ierr); 451 ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subsets);CHKERRQ(ierr); 452 ierr = MatCreate(PetscObjectComm((PetscObject)work_mat),&global_schur_subsets);CHKERRQ(ierr); 453 ierr = MatSetSizes(global_schur_subsets,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size);CHKERRQ(ierr); 454 ierr = MatSetType(global_schur_subsets,MATMPIAIJ);CHKERRQ(ierr); 455 456 /* subset indices in local boundary numbering */ 457 if (!sub_schurs->is_Ej_all) { 458 PetscInt *all_local_idx_B; 459 460 ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr); 461 ierr = ISGlobalToLocalMappingApply(sub_schurs->BtoNmap,IS_GTOLM_DROP,local_size,all_local_idx_N+extra,&subset_size,all_local_idx_B);CHKERRQ(ierr); 462 if (subset_size != local_size) { 463 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in sub_schurs serial (BtoNmap)! %d != %d\n",subset_size,local_size); 464 } 465 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&sub_schurs->is_Ej_all);CHKERRQ(ierr); 466 } 467 468 /* Local matrix of all local Schur on subsets (transposed) */ 469 if (!sub_schurs->S_Ej_all) { 470 ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->S_Ej_all);CHKERRQ(ierr); 471 ierr = MatSetSizes(sub_schurs->S_Ej_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 472 ierr = MatSetType(sub_schurs->S_Ej_all,MATAIJ);CHKERRQ(ierr); 473 ierr = MatSeqAIJSetPreallocation(sub_schurs->S_Ej_all,0,nnz);CHKERRQ(ierr); 474 } else { 475 ierr = MatZeroEntries(sub_schurs->S_Ej_all);CHKERRQ(ierr); 476 } 477 478 /* Compute Schur complements explicitly */ 479 ierr = PetscBTMemzero(sub_schurs->n_subs,sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 480 if (!sub_schurs->use_mumps) { 481 Mat S_Ej_expl; 482 PetscScalar *work; 483 PetscInt j,*dummy_idx; 484 PetscBool Sdense; 485 486 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 487 local_size = 0; 488 for (i=0;i<sub_schurs->n_subs;i++) { 489 IS is_subset_B; 490 Mat AE_EE,AE_IE,AE_EI,S_Ej; 491 492 /* subsets in original and boundary numbering */ 493 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_subs[i],&is_subset_B);CHKERRQ(ierr); 494 /* EE block */ 495 ierr = MatGetSubMatrix(A_BB,is_subset_B,is_subset_B,MAT_INITIAL_MATRIX,&AE_EE);CHKERRQ(ierr); 496 /* IE block */ 497 ierr = MatGetSubMatrix(A_IB,is_I,is_subset_B,MAT_INITIAL_MATRIX,&AE_IE);CHKERRQ(ierr); 498 /* EI block */ 499 if (sub_schurs->is_hermitian) { 500 ierr = MatCreateTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 501 } else { 502 ierr = MatGetSubMatrix(A_BI,is_subset_B,is_I,MAT_INITIAL_MATRIX,&AE_EI);CHKERRQ(ierr); 503 } 504 ierr = ISDestroy(&is_subset_B);CHKERRQ(ierr); 505 ierr = MatCreateSchurComplement(AE_II,AE_II,AE_IE,AE_EI,AE_EE,&S_Ej);CHKERRQ(ierr); 506 ierr = MatDestroy(&AE_EE);CHKERRQ(ierr); 507 ierr = MatDestroy(&AE_IE);CHKERRQ(ierr); 508 ierr = MatDestroy(&AE_EI);CHKERRQ(ierr); 509 if (AE_II == A_II) { /* we can reuse the same ksp */ 510 KSP ksp; 511 ierr = MatSchurComplementGetKSP(sub_schurs->S,&ksp);CHKERRQ(ierr); 512 ierr = MatSchurComplementSetKSP(S_Ej,ksp);CHKERRQ(ierr); 513 } else { /* build new ksp object which inherits ksp and pc types from the original one */ 514 KSP origksp,schurksp; 515 PC origpc,schurpc; 516 KSPType ksp_type; 517 PetscInt n_internal; 518 PetscBool ispcnone; 519 520 ierr = MatSchurComplementGetKSP(sub_schurs->S,&origksp);CHKERRQ(ierr); 521 ierr = MatSchurComplementGetKSP(S_Ej,&schurksp);CHKERRQ(ierr); 522 ierr = KSPGetType(origksp,&ksp_type);CHKERRQ(ierr); 523 ierr = KSPSetType(schurksp,ksp_type);CHKERRQ(ierr); 524 ierr = KSPGetPC(schurksp,&schurpc);CHKERRQ(ierr); 525 ierr = KSPGetPC(origksp,&origpc);CHKERRQ(ierr); 526 ierr = PetscObjectTypeCompare((PetscObject)origpc,PCNONE,&ispcnone);CHKERRQ(ierr); 527 if (!ispcnone) { 528 PCType pc_type; 529 ierr = PCGetType(origpc,&pc_type);CHKERRQ(ierr); 530 ierr = PCSetType(schurpc,pc_type);CHKERRQ(ierr); 531 } else { 532 ierr = PCSetType(schurpc,PCLU);CHKERRQ(ierr); 533 } 534 ierr = ISGetSize(is_I,&n_internal);CHKERRQ(ierr); 535 if (n_internal) { /* UMFPACK gives error with 0 sized problems */ 536 MatSolverPackage solver=NULL; 537 ierr = PCFactorGetMatSolverPackage(origpc,(const MatSolverPackage*)&solver);CHKERRQ(ierr); 538 if (solver) { 539 ierr = PCFactorSetMatSolverPackage(schurpc,solver);CHKERRQ(ierr); 540 } 541 } 542 ierr = KSPSetUp(schurksp);CHKERRQ(ierr); 543 } 544 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 545 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej_expl);CHKERRQ(ierr); 546 ierr = PCBDDCComputeExplicitSchur(S_Ej,sub_schurs->is_hermitian,MAT_REUSE_MATRIX,&S_Ej_expl);CHKERRQ(ierr); 547 ierr = PetscObjectTypeCompare((PetscObject)S_Ej_expl,MATSEQDENSE,&Sdense);CHKERRQ(ierr); 548 if (Sdense) { 549 for (j=0;j<subset_size;j++) { 550 dummy_idx[j]=local_size+j; 551 } 552 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 553 } else { 554 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet implemented for sparse matrices"); 555 } 556 ierr = MatDestroy(&S_Ej);CHKERRQ(ierr); 557 ierr = MatDestroy(&S_Ej_expl);CHKERRQ(ierr); 558 local_size += subset_size; 559 } 560 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 561 /* free */ 562 ierr = ISDestroy(&is_I);CHKERRQ(ierr); 563 ierr = MatDestroy(&AE_II);CHKERRQ(ierr); 564 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 565 } else { 566 Mat A,F; 567 IS is_A_all; 568 PetscScalar *work; 569 PetscInt *idxs_schur,n_I,n_I_all,*dummy_idx; 570 571 /* get working mat */ 572 ierr = ISGetLocalSize(is_I_layer,&n_I);CHKERRQ(ierr); 573 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size+n_I,all_local_idx_N,PETSC_COPY_VALUES,&is_A_all);CHKERRQ(ierr); 574 ierr = MatGetSubMatrixUnsorted(sub_schurs->A,is_A_all,is_A_all,&A);CHKERRQ(ierr); 575 ierr = ISDestroy(&is_A_all);CHKERRQ(ierr); 576 ierr = MatSetOptionsPrefix(A,"sub_schurs_");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 = ISDestroy(&is_I_layer);CHKERRQ(ierr); 742 ierr = PetscFree(nnz);CHKERRQ(ierr); 743 ierr = MatDestroy(&S_all);CHKERRQ(ierr); 744 ierr = MatDestroy(&S_all_inv);CHKERRQ(ierr); 745 ierr = MatDestroy(&A_BB);CHKERRQ(ierr); 746 ierr = MatDestroy(&A_IB);CHKERRQ(ierr); 747 ierr = MatDestroy(&A_BI);CHKERRQ(ierr); 748 ierr = MatAssemblyBegin(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 749 ierr = MatAssemblyEnd(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 750 if (compute_Stilda) { 751 ierr = MatAssemblyBegin(S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 752 ierr = MatAssemblyEnd(S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 753 ierr = MatAssemblyBegin(S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 754 ierr = MatAssemblyEnd(S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 755 } 756 757 /* Global matrix of all assembled Schur on subsets */ 758 ierr = MatISSetLocalMat(work_mat,sub_schurs->S_Ej_all);CHKERRQ(ierr); 759 ierr = MatISSetMPIXAIJPreallocation_Private(work_mat,global_schur_subsets,PETSC_TRUE);CHKERRQ(ierr); 760 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 761 762 /* Get local part of (\sum_j S_Ej) */ 763 ierr = ISCreateGeneral(comm_n,local_size,all_local_idx_G,PETSC_OWN_POINTER,&temp_is);CHKERRQ(ierr); 764 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 765 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 766 767 /* Compute explicitly (\sum_j S_Ej)^-1 (faster scaling during PCApply, needs extra work when doing setup) */ 768 if (faster_deluxe) { 769 Mat tmpmat; 770 PetscScalar *array; 771 PetscInt cum; 772 773 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all,&array);CHKERRQ(ierr); 774 cum = 0; 775 for (i=0;i<sub_schurs->n_subs;i++) { 776 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 777 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 778 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 779 if (!sub_schurs->is_hermitian) { 780 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array+cum,&B_N,pivots,&B_ierr)); 781 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 782 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 783 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 784 } else { 785 PetscInt j,k; 786 787 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,array+cum,&B_N,&B_ierr)); 788 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 789 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,array+cum,&B_N,&B_ierr)); 790 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 791 for (j=0;j<B_N;j++) { 792 for (k=j+1;k<B_N;k++) { 793 array[k*B_N+j+cum] = array[j*B_N+k+cum]; 794 } 795 } 796 } 797 ierr = PetscFPTrapPop();CHKERRQ(ierr); 798 cum += subset_size*subset_size; 799 } 800 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_all,&array);CHKERRQ(ierr); 801 ierr = MatMatMult(sub_schurs->S_Ej_all,sub_schurs->sum_S_Ej_all,MAT_INITIAL_MATRIX,1.0,&tmpmat);CHKERRQ(ierr); 802 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 803 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 804 sub_schurs->S_Ej_all = tmpmat; 805 } 806 807 /* Get local part of (\sum_j S^-1_Ej) (\sum_j St^-1_Ej) */ 808 if (compute_Stilda) { 809 ierr = MatISSetLocalMat(work_mat,S_Ej_tilda_all);CHKERRQ(ierr); 810 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 811 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 812 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 813 ierr = MatISSetLocalMat(work_mat,S_Ej_inv_all);CHKERRQ(ierr); 814 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 815 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 816 ierr = MatGetSubMatrixUnsorted(global_schur_subsets,temp_is,temp_is,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 817 } 818 819 /* free workspace */ 820 ierr = PetscFree2(Bwork,pivots);CHKERRQ(ierr); 821 ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr); 822 ierr = MatDestroy(&S_Ej_tilda_all);CHKERRQ(ierr); 823 ierr = MatDestroy(&S_Ej_inv_all);CHKERRQ(ierr); 824 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 825 ierr = ISDestroy(&temp_is);CHKERRQ(ierr); 826 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 827 PetscFunctionReturn(0); 828 } 829 830 #undef __FUNCT__ 831 #define __FUNCT__ "PCBDDCSubSchursInit" 832 PetscErrorCode PCBDDCSubSchursInit(PCBDDCSubSchurs sub_schurs, IS is_I, IS is_B, PCBDDCGraph graph, ISLocalToGlobalMapping BtoNmap) 833 { 834 IS *faces,*edges,*all_cc,vertices; 835 PetscInt i,n_faces,n_edges,n_all_cc; 836 PetscBool is_sorted; 837 PetscErrorCode ierr; 838 839 PetscFunctionBegin; 840 ierr = ISSorted(is_I,&is_sorted);CHKERRQ(ierr); 841 if (!is_sorted) { 842 SETERRQ(PetscObjectComm((PetscObject)is_I),PETSC_ERR_PLIB,"IS for I dofs should be shorted"); 843 } 844 ierr = ISSorted(is_B,&is_sorted);CHKERRQ(ierr); 845 if (!is_sorted) { 846 SETERRQ(PetscObjectComm((PetscObject)is_B),PETSC_ERR_PLIB,"IS for B dofs should be shorted"); 847 } 848 849 /* reset any previous data */ 850 ierr = PCBDDCSubSchursReset(sub_schurs);CHKERRQ(ierr); 851 852 /* get index sets for faces and edges (already sorted by global ordering) */ 853 ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 854 n_all_cc = n_faces+n_edges; 855 ierr = PetscBTCreate(n_all_cc,&sub_schurs->is_edge);CHKERRQ(ierr); 856 ierr = PetscBTCreate(n_all_cc,&sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 857 ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr); 858 for (i=0;i<n_faces;i++) { 859 all_cc[i] = faces[i]; 860 } 861 for (i=0;i<n_edges;i++) { 862 all_cc[n_faces+i] = edges[i]; 863 ierr = PetscBTSet(sub_schurs->is_edge,n_faces+i);CHKERRQ(ierr); 864 } 865 ierr = PetscFree(faces);CHKERRQ(ierr); 866 ierr = PetscFree(edges);CHKERRQ(ierr); 867 868 /* Determine if MUMPS cane be used */ 869 sub_schurs->use_mumps = PETSC_FALSE; 870 #if defined(PETSC_HAVE_MUMPS) 871 sub_schurs->use_mumps = PETSC_TRUE; 872 #endif 873 874 ierr = PetscObjectReference((PetscObject)is_I);CHKERRQ(ierr); 875 sub_schurs->is_I = is_I; 876 ierr = PetscObjectReference((PetscObject)is_B);CHKERRQ(ierr); 877 sub_schurs->is_B = is_B; 878 ierr = PetscObjectReference((PetscObject)graph->l2gmap);CHKERRQ(ierr); 879 sub_schurs->l2gmap = graph->l2gmap; 880 ierr = PetscObjectReference((PetscObject)BtoNmap);CHKERRQ(ierr); 881 sub_schurs->BtoNmap = BtoNmap; 882 sub_schurs->n_subs = n_all_cc; 883 sub_schurs->is_subs = all_cc; 884 if (!sub_schurs->use_mumps) { /* sort by local ordering mumps is not present */ 885 for (i=0;i<sub_schurs->n_subs;i++) { 886 ierr = ISSort(sub_schurs->is_subs[i]);CHKERRQ(ierr); 887 } 888 } 889 sub_schurs->is_Ej_com = vertices; 890 891 /* allocate space for schur complements */ 892 sub_schurs->S_Ej_all = NULL; 893 sub_schurs->sum_S_Ej_all = NULL; 894 sub_schurs->sum_S_Ej_inv_all = NULL; 895 sub_schurs->sum_S_Ej_tilda_all = NULL; 896 sub_schurs->is_Ej_all = NULL; 897 PetscFunctionReturn(0); 898 } 899 900 #undef __FUNCT__ 901 #define __FUNCT__ "PCBDDCSubSchursCreate" 902 PetscErrorCode PCBDDCSubSchursCreate(PCBDDCSubSchurs *sub_schurs) 903 { 904 PCBDDCSubSchurs schurs_ctx; 905 PetscErrorCode ierr; 906 907 PetscFunctionBegin; 908 ierr = PetscNew(&schurs_ctx);CHKERRQ(ierr); 909 schurs_ctx->n_subs = 0; 910 *sub_schurs = schurs_ctx; 911 PetscFunctionReturn(0); 912 } 913 914 #undef __FUNCT__ 915 #define __FUNCT__ "PCBDDCSubSchursDestroy" 916 PetscErrorCode PCBDDCSubSchursDestroy(PCBDDCSubSchurs *sub_schurs) 917 { 918 PetscErrorCode ierr; 919 920 PetscFunctionBegin; 921 ierr = PCBDDCSubSchursReset(*sub_schurs);CHKERRQ(ierr); 922 ierr = PetscFree(*sub_schurs);CHKERRQ(ierr); 923 PetscFunctionReturn(0); 924 } 925 926 #undef __FUNCT__ 927 #define __FUNCT__ "PCBDDCSubSchursReset" 928 PetscErrorCode PCBDDCSubSchursReset(PCBDDCSubSchurs sub_schurs) 929 { 930 PetscInt i; 931 PetscErrorCode ierr; 932 933 PetscFunctionBegin; 934 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 935 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 936 ierr = ISDestroy(&sub_schurs->is_I);CHKERRQ(ierr); 937 ierr = ISDestroy(&sub_schurs->is_B);CHKERRQ(ierr); 938 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->l2gmap);CHKERRQ(ierr); 939 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->BtoNmap);CHKERRQ(ierr); 940 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 941 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 942 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 943 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 944 ierr = ISDestroy(&sub_schurs->is_Ej_all);CHKERRQ(ierr); 945 ierr = ISDestroy(&sub_schurs->is_Ej_com);CHKERRQ(ierr); 946 ierr = PetscBTDestroy(&sub_schurs->is_edge);CHKERRQ(ierr); 947 ierr = PetscBTDestroy(&sub_schurs->computed_Stilda_subs);CHKERRQ(ierr); 948 for (i=0;i<sub_schurs->n_subs;i++) { 949 ierr = ISDestroy(&sub_schurs->is_subs[i]);CHKERRQ(ierr); 950 } 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