1 #include <../src/ksp/pc/impls/bddc/bddc.h> 2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h> 3 #include <../src/mat/impls/dense/seq/dense.h> 4 #include <petscblaslapack.h> 5 6 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt*,PetscInt,PetscBT,PetscInt*,PetscInt*,PetscInt*); 7 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat,PetscBool,MatReuse,Mat*); 8 static PetscErrorCode PCBDDCReuseSolvers_Interior(PC,Vec,Vec); 9 static PetscErrorCode PCBDDCReuseSolvers_Correction(PC,Vec,Vec); 10 11 /* if v2 is not present, correction is done in-place */ 12 PetscErrorCode PCBDDCReuseSolversBenignAdapt(PCBDDCReuseSolvers ctx, Vec v, Vec v2, PetscBool sol, PetscBool full) 13 { 14 PetscScalar *array; 15 PetscScalar *array2; 16 PetscErrorCode ierr; 17 18 PetscFunctionBegin; 19 if (!ctx->benign_n) PetscFunctionReturn(0); 20 if (sol && full) { 21 PetscInt n_I,size_schur; 22 23 /* get sizes */ 24 ierr = MatGetSize(ctx->benign_csAIB,&size_schur,NULL);CHKERRQ(ierr); 25 ierr = VecGetSize(v,&n_I);CHKERRQ(ierr); 26 n_I = n_I - size_schur; 27 /* get schur sol from array */ 28 ierr = VecGetArray(v,&array);CHKERRQ(ierr); 29 ierr = VecPlaceArray(ctx->benign_dummy_schur_vec,array+n_I);CHKERRQ(ierr); 30 ierr = VecRestoreArray(v,&array);CHKERRQ(ierr); 31 /* apply interior sol correction */ 32 ierr = MatMultTranspose(ctx->benign_csAIB,ctx->benign_dummy_schur_vec,ctx->benign_corr_work);CHKERRQ(ierr); 33 ierr = VecResetArray(ctx->benign_dummy_schur_vec);CHKERRQ(ierr); 34 ierr = MatMultAdd(ctx->benign_AIIm1ones,ctx->benign_corr_work,v,v);CHKERRQ(ierr); 35 } 36 if (v2) { 37 PetscInt nl; 38 39 ierr = VecGetArrayRead(v,(const PetscScalar**)&array);CHKERRQ(ierr); 40 ierr = VecGetLocalSize(v2,&nl);CHKERRQ(ierr); 41 ierr = VecGetArray(v2,&array2);CHKERRQ(ierr); 42 ierr = PetscMemcpy(array2,array,nl*sizeof(PetscScalar));CHKERRQ(ierr); 43 } else { 44 ierr = VecGetArray(v,&array);CHKERRQ(ierr); 45 array2 = array; 46 } 47 if (!sol) { /* change rhs */ 48 PetscInt n; 49 for (n=0;n<ctx->benign_n;n++) { 50 PetscScalar sum = 0.; 51 const PetscInt *cols; 52 PetscInt nz,i; 53 54 ierr = ISGetLocalSize(ctx->benign_zerodiag_subs[n],&nz);CHKERRQ(ierr); 55 ierr = ISGetIndices(ctx->benign_zerodiag_subs[n],&cols);CHKERRQ(ierr); 56 for (i=0;i<nz-1;i++) sum += array[cols[i]]; 57 #if defined(PETSC_USE_COMPLEX) 58 sum = -(PetscRealPart(sum)/nz + PETSC_i*(PetscImaginaryPart(sum)/nz)); 59 #else 60 sum = -sum/nz; 61 #endif 62 for (i=0;i<nz-1;i++) array2[cols[i]] += sum; 63 ctx->benign_save_vals[n] = array2[cols[nz-1]]; 64 array2[cols[nz-1]] = sum; 65 ierr = ISRestoreIndices(ctx->benign_zerodiag_subs[n],&cols);CHKERRQ(ierr); 66 } 67 } else { 68 PetscInt n; 69 for (n=0;n<ctx->benign_n;n++) { 70 PetscScalar sum = 0.; 71 const PetscInt *cols; 72 PetscInt nz,i; 73 ierr = ISGetLocalSize(ctx->benign_zerodiag_subs[n],&nz);CHKERRQ(ierr); 74 ierr = ISGetIndices(ctx->benign_zerodiag_subs[n],&cols);CHKERRQ(ierr); 75 for (i=0;i<nz-1;i++) sum += array[cols[i]]; 76 #if defined(PETSC_USE_COMPLEX) 77 sum = -(PetscRealPart(sum)/nz + PETSC_i*(PetscImaginaryPart(sum)/nz)); 78 #else 79 sum = -sum/nz; 80 #endif 81 for (i=0;i<nz-1;i++) array2[cols[i]] += sum; 82 array2[cols[nz-1]] = ctx->benign_save_vals[n]; 83 ierr = ISRestoreIndices(ctx->benign_zerodiag_subs[n],&cols);CHKERRQ(ierr); 84 } 85 } 86 if (v2) { 87 ierr = VecRestoreArrayRead(v,(const PetscScalar**)&array);CHKERRQ(ierr); 88 ierr = VecRestoreArray(v2,&array2);CHKERRQ(ierr); 89 } else { 90 ierr = VecRestoreArray(v,&array);CHKERRQ(ierr); 91 } 92 if (!sol && full) { 93 Vec usedv; 94 PetscInt n_I,size_schur; 95 96 /* get sizes */ 97 ierr = MatGetSize(ctx->benign_csAIB,&size_schur,NULL);CHKERRQ(ierr); 98 ierr = VecGetSize(v,&n_I);CHKERRQ(ierr); 99 n_I = n_I - size_schur; 100 /* compute schur rhs correction */ 101 if (v2) { 102 usedv = v2; 103 } else { 104 usedv = v; 105 } 106 /* apply schur rhs correction */ 107 ierr = MatMultTranspose(ctx->benign_AIIm1ones,usedv,ctx->benign_corr_work);CHKERRQ(ierr); 108 ierr = VecGetArrayRead(usedv,(const PetscScalar**)&array);CHKERRQ(ierr); 109 ierr = VecPlaceArray(ctx->benign_dummy_schur_vec,array+n_I);CHKERRQ(ierr); 110 ierr = VecRestoreArrayRead(usedv,(const PetscScalar**)&array);CHKERRQ(ierr); 111 ierr = MatMultAdd(ctx->benign_csAIB,ctx->benign_corr_work,ctx->benign_dummy_schur_vec,ctx->benign_dummy_schur_vec);CHKERRQ(ierr); 112 ierr = VecResetArray(ctx->benign_dummy_schur_vec);CHKERRQ(ierr); 113 } 114 PetscFunctionReturn(0); 115 } 116 117 static PetscErrorCode PCBDDCReuseSolvers_Solve_Private(PC pc, Vec rhs, Vec sol, PetscBool transpose, PetscBool full) 118 { 119 PCBDDCReuseSolvers ctx; 120 PetscBool copy = PETSC_FALSE; 121 PetscErrorCode ierr; 122 123 PetscFunctionBegin; 124 ierr = PCShellGetContext(pc,(void **)&ctx);CHKERRQ(ierr); 125 if (full) { 126 #if defined(PETSC_HAVE_MUMPS) 127 ierr = MatMumpsSetIcntl(ctx->F,26,-1);CHKERRQ(ierr); 128 #endif 129 #if defined(PETSC_HAVE_MKL_PARDISO) 130 ierr = MatMkl_PardisoSetCntl(ctx->F,70,0);CHKERRQ(ierr); 131 #endif 132 copy = ctx->has_vertices; 133 } else { /* interior solver */ 134 #if defined(PETSC_HAVE_MUMPS) 135 ierr = MatMumpsSetIcntl(ctx->F,26,0);CHKERRQ(ierr); 136 #endif 137 #if defined(PETSC_HAVE_MKL_PARDISO) 138 ierr = MatMkl_PardisoSetCntl(ctx->F,70,1);CHKERRQ(ierr); 139 #endif 140 copy = PETSC_TRUE; 141 } 142 /* copy rhs into factored matrix workspace */ 143 if (copy) { 144 PetscInt n; 145 PetscScalar *array,*array_solver; 146 147 ierr = VecGetLocalSize(rhs,&n);CHKERRQ(ierr); 148 ierr = VecGetArrayRead(rhs,(const PetscScalar**)&array);CHKERRQ(ierr); 149 ierr = VecGetArray(ctx->rhs,&array_solver);CHKERRQ(ierr); 150 ierr = PetscMemcpy(array_solver,array,n*sizeof(PetscScalar));CHKERRQ(ierr); 151 ierr = VecRestoreArray(ctx->rhs,&array_solver);CHKERRQ(ierr); 152 ierr = VecRestoreArrayRead(rhs,(const PetscScalar**)&array);CHKERRQ(ierr); 153 154 ierr = PCBDDCReuseSolversBenignAdapt(ctx,ctx->rhs,NULL,PETSC_FALSE,full);CHKERRQ(ierr); 155 if (transpose) { 156 ierr = MatSolveTranspose(ctx->F,ctx->rhs,ctx->sol);CHKERRQ(ierr); 157 } else { 158 ierr = MatSolve(ctx->F,ctx->rhs,ctx->sol);CHKERRQ(ierr); 159 } 160 ierr = PCBDDCReuseSolversBenignAdapt(ctx,ctx->sol,NULL,PETSC_TRUE,full);CHKERRQ(ierr); 161 162 /* get back data to caller worskpace */ 163 ierr = VecGetArrayRead(ctx->sol,(const PetscScalar**)&array_solver);CHKERRQ(ierr); 164 ierr = VecGetArray(sol,&array);CHKERRQ(ierr); 165 ierr = PetscMemcpy(array,array_solver,n*sizeof(PetscScalar));CHKERRQ(ierr); 166 ierr = VecRestoreArray(sol,&array);CHKERRQ(ierr); 167 ierr = VecRestoreArrayRead(ctx->sol,(const PetscScalar**)&array_solver);CHKERRQ(ierr); 168 } else { 169 if (ctx->benign_n) { 170 ierr = PCBDDCReuseSolversBenignAdapt(ctx,rhs,ctx->rhs,PETSC_FALSE,full);CHKERRQ(ierr); 171 if (transpose) { 172 ierr = MatSolveTranspose(ctx->F,ctx->rhs,sol);CHKERRQ(ierr); 173 } else { 174 ierr = MatSolve(ctx->F,ctx->rhs,sol);CHKERRQ(ierr); 175 } 176 ierr = PCBDDCReuseSolversBenignAdapt(ctx,sol,NULL,PETSC_TRUE,full);CHKERRQ(ierr); 177 } else { 178 if (transpose) { 179 ierr = MatSolveTranspose(ctx->F,rhs,sol);CHKERRQ(ierr); 180 } else { 181 ierr = MatSolve(ctx->F,rhs,sol);CHKERRQ(ierr); 182 } 183 } 184 } 185 /* restore defaults */ 186 #if defined(PETSC_HAVE_MUMPS) 187 ierr = MatMumpsSetIcntl(ctx->F,26,-1);CHKERRQ(ierr); 188 #endif 189 #if defined(PETSC_HAVE_MKL_PARDISO) 190 ierr = MatMkl_PardisoSetCntl(ctx->F,70,0);CHKERRQ(ierr); 191 #endif 192 PetscFunctionReturn(0); 193 } 194 195 static PetscErrorCode PCBDDCReuseSolvers_Correction(PC pc, Vec rhs, Vec sol) 196 { 197 PetscErrorCode ierr; 198 199 PetscFunctionBegin; 200 ierr = PCBDDCReuseSolvers_Solve_Private(pc,rhs,sol,PETSC_FALSE,PETSC_TRUE);CHKERRQ(ierr); 201 PetscFunctionReturn(0); 202 } 203 204 static PetscErrorCode PCBDDCReuseSolvers_CorrectionTranspose(PC pc, Vec rhs, Vec sol) 205 { 206 PetscErrorCode ierr; 207 208 PetscFunctionBegin; 209 ierr = PCBDDCReuseSolvers_Solve_Private(pc,rhs,sol,PETSC_TRUE,PETSC_TRUE);CHKERRQ(ierr); 210 PetscFunctionReturn(0); 211 } 212 213 static PetscErrorCode PCBDDCReuseSolvers_Interior(PC pc, Vec rhs, Vec sol) 214 { 215 PetscErrorCode ierr; 216 217 PetscFunctionBegin; 218 ierr = PCBDDCReuseSolvers_Solve_Private(pc,rhs,sol,PETSC_FALSE,PETSC_FALSE);CHKERRQ(ierr); 219 PetscFunctionReturn(0); 220 } 221 222 static PetscErrorCode PCBDDCReuseSolvers_InteriorTranspose(PC pc, Vec rhs, Vec sol) 223 { 224 PetscErrorCode ierr; 225 226 PetscFunctionBegin; 227 ierr = PCBDDCReuseSolvers_Solve_Private(pc,rhs,sol,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr); 228 PetscFunctionReturn(0); 229 } 230 231 static PetscErrorCode PCBDDCReuseSolversReset(PCBDDCReuseSolvers reuse) 232 { 233 PetscInt i; 234 PetscErrorCode ierr; 235 236 PetscFunctionBegin; 237 ierr = MatDestroy(&reuse->F);CHKERRQ(ierr); 238 ierr = VecDestroy(&reuse->sol);CHKERRQ(ierr); 239 ierr = VecDestroy(&reuse->rhs);CHKERRQ(ierr); 240 ierr = PCDestroy(&reuse->interior_solver);CHKERRQ(ierr); 241 ierr = PCDestroy(&reuse->correction_solver);CHKERRQ(ierr); 242 ierr = ISDestroy(&reuse->is_R);CHKERRQ(ierr); 243 ierr = ISDestroy(&reuse->is_B);CHKERRQ(ierr); 244 ierr = VecScatterDestroy(&reuse->correction_scatter_B);CHKERRQ(ierr); 245 ierr = VecDestroy(&reuse->sol_B);CHKERRQ(ierr); 246 ierr = VecDestroy(&reuse->rhs_B);CHKERRQ(ierr); 247 for (i=0;i<reuse->benign_n;i++) { 248 ierr = ISDestroy(&reuse->benign_zerodiag_subs[i]);CHKERRQ(ierr); 249 } 250 ierr = PetscFree(reuse->benign_zerodiag_subs);CHKERRQ(ierr); 251 ierr = PetscFree(reuse->benign_save_vals);CHKERRQ(ierr); 252 ierr = MatDestroy(&reuse->benign_csAIB);CHKERRQ(ierr); 253 ierr = MatDestroy(&reuse->benign_AIIm1ones);CHKERRQ(ierr); 254 ierr = VecDestroy(&reuse->benign_corr_work);CHKERRQ(ierr); 255 ierr = VecDestroy(&reuse->benign_dummy_schur_vec);CHKERRQ(ierr); 256 PetscFunctionReturn(0); 257 } 258 259 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat M, PetscBool issym, MatReuse reuse, Mat *S) 260 { 261 Mat B, C, D, Bd, Cd, AinvBd; 262 KSP ksp; 263 PC pc; 264 PetscBool isLU, isILU, isCHOL, Bdense, Cdense; 265 PetscReal fill = 2.0; 266 PetscInt n_I; 267 PetscMPIInt size; 268 PetscErrorCode ierr; 269 270 PetscFunctionBegin; 271 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)M),&size);CHKERRQ(ierr); 272 if (size != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not for parallel matrices"); 273 if (reuse == MAT_REUSE_MATRIX) { 274 PetscBool Sdense; 275 276 ierr = PetscObjectTypeCompare((PetscObject)*S, MATSEQDENSE, &Sdense);CHKERRQ(ierr); 277 if (!Sdense) SETERRQ(PetscObjectComm((PetscObject)M),PETSC_ERR_SUP,"S should dense"); 278 } 279 ierr = MatSchurComplementGetSubMatrices(M, NULL, NULL, &B, &C, &D);CHKERRQ(ierr); 280 ierr = MatSchurComplementGetKSP(M, &ksp);CHKERRQ(ierr); 281 ierr = KSPGetPC(ksp, &pc);CHKERRQ(ierr); 282 ierr = PetscObjectTypeCompare((PetscObject) pc, PCLU, &isLU);CHKERRQ(ierr); 283 ierr = PetscObjectTypeCompare((PetscObject) pc, PCILU, &isILU);CHKERRQ(ierr); 284 ierr = PetscObjectTypeCompare((PetscObject) pc, PCCHOLESKY, &isCHOL);CHKERRQ(ierr); 285 ierr = PetscObjectTypeCompare((PetscObject) B, MATSEQDENSE, &Bdense);CHKERRQ(ierr); 286 ierr = PetscObjectTypeCompare((PetscObject) C, MATSEQDENSE, &Cdense);CHKERRQ(ierr); 287 ierr = MatGetSize(B,&n_I,NULL);CHKERRQ(ierr); 288 if (n_I) { 289 if (!Bdense) { 290 ierr = MatConvert(B, MATSEQDENSE, MAT_INITIAL_MATRIX, &Bd);CHKERRQ(ierr); 291 } else { 292 Bd = B; 293 } 294 295 if (isLU || isILU || isCHOL) { 296 Mat fact; 297 ierr = KSPSetUp(ksp);CHKERRQ(ierr); 298 ierr = PCFactorGetMatrix(pc, &fact);CHKERRQ(ierr); 299 ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr); 300 ierr = MatMatSolve(fact, Bd, AinvBd);CHKERRQ(ierr); 301 } else { 302 PetscBool ex = PETSC_TRUE; 303 304 if (ex) { 305 Mat Ainvd; 306 307 ierr = PCComputeExplicitOperator(pc, &Ainvd);CHKERRQ(ierr); 308 ierr = MatMatMult(Ainvd, Bd, MAT_INITIAL_MATRIX, fill, &AinvBd);CHKERRQ(ierr); 309 ierr = MatDestroy(&Ainvd);CHKERRQ(ierr); 310 } else { 311 Vec sol,rhs; 312 PetscScalar *arrayrhs,*arraysol; 313 PetscInt i,nrhs,n; 314 315 ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr); 316 ierr = MatGetSize(Bd,&n,&nrhs);CHKERRQ(ierr); 317 ierr = MatDenseGetArray(Bd,&arrayrhs);CHKERRQ(ierr); 318 ierr = MatDenseGetArray(AinvBd,&arraysol);CHKERRQ(ierr); 319 ierr = KSPGetSolution(ksp,&sol);CHKERRQ(ierr); 320 ierr = KSPGetRhs(ksp,&rhs);CHKERRQ(ierr); 321 for (i=0;i<nrhs;i++) { 322 ierr = VecPlaceArray(rhs,arrayrhs+i*n);CHKERRQ(ierr); 323 ierr = VecPlaceArray(sol,arraysol+i*n);CHKERRQ(ierr); 324 ierr = KSPSolve(ksp,rhs,sol);CHKERRQ(ierr); 325 ierr = VecResetArray(rhs);CHKERRQ(ierr); 326 ierr = VecResetArray(sol);CHKERRQ(ierr); 327 } 328 ierr = MatDenseRestoreArray(Bd,&arrayrhs);CHKERRQ(ierr); 329 ierr = MatDenseRestoreArray(AinvBd,&arrayrhs);CHKERRQ(ierr); 330 } 331 } 332 if (!Bdense & !issym) { 333 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 334 } 335 336 if (!issym) { 337 if (!Cdense) { 338 ierr = MatConvert(C, MATSEQDENSE, MAT_INITIAL_MATRIX, &Cd);CHKERRQ(ierr); 339 } else { 340 Cd = C; 341 } 342 ierr = MatMatMult(Cd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 343 if (!Cdense) { 344 ierr = MatDestroy(&Cd);CHKERRQ(ierr); 345 } 346 } else { 347 ierr = MatTransposeMatMult(Bd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 348 if (!Bdense) { 349 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 350 } 351 } 352 ierr = MatDestroy(&AinvBd);CHKERRQ(ierr); 353 } 354 355 if (D) { 356 Mat Dd; 357 PetscBool Ddense; 358 359 ierr = PetscObjectTypeCompare((PetscObject)D,MATSEQDENSE,&Ddense);CHKERRQ(ierr); 360 if (!Ddense) { 361 ierr = MatConvert(D, MATSEQDENSE, MAT_INITIAL_MATRIX, &Dd);CHKERRQ(ierr); 362 } else { 363 Dd = D; 364 } 365 if (n_I) { 366 ierr = MatAYPX(*S,-1.0,Dd,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 367 } else { 368 if (reuse == MAT_INITIAL_MATRIX) { 369 ierr = MatDuplicate(Dd,MAT_COPY_VALUES,S);CHKERRQ(ierr); 370 } else { 371 ierr = MatCopy(Dd,*S,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 372 } 373 } 374 if (!Ddense) { 375 ierr = MatDestroy(&Dd);CHKERRQ(ierr); 376 } 377 } else { 378 ierr = MatScale(*S,-1.0);CHKERRQ(ierr); 379 } 380 PetscFunctionReturn(0); 381 } 382 383 PetscErrorCode PCBDDCSubSchursSetUp(PCBDDCSubSchurs sub_schurs, Mat Ain, Mat Sin, PetscBool exact_schur, PetscInt xadj[], PetscInt adjncy[], PetscInt nlayers, Vec scaling, PetscBool compute_Stilda, PetscBool reuse_solvers, PetscBool benign_trick, PetscInt benign_n, PetscInt benign_p0_lidx[], IS benign_zerodiag_subs[], Mat change, IS change_primal) 384 { 385 Mat F,A_II,A_IB,A_BI,A_BB,AE_II; 386 Mat S_all; 387 Mat global_schur_subsets,work_mat,*submats; 388 ISLocalToGlobalMapping l2gmap_subsets; 389 IS is_I,is_I_layer; 390 IS all_subsets,all_subsets_mult,all_subsets_n; 391 PetscInt *nnz,*all_local_idx_N; 392 PetscInt *auxnum1,*auxnum2; 393 PetscInt i,subset_size,max_subset_size; 394 PetscInt n_B,extra,local_size,global_size; 395 PetscBLASInt B_N,B_ierr,B_lwork,*pivots; 396 PetscScalar *Bwork; 397 PetscSubcomm subcomm; 398 PetscMPIInt color,rank; 399 MPI_Comm comm_n; 400 PetscBool deluxe = PETSC_TRUE; 401 PetscBool use_potr = PETSC_FALSE, use_sytr = PETSC_FALSE; 402 PetscErrorCode ierr; 403 404 PetscFunctionBegin; 405 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 406 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 407 /* convert matrix if needed */ 408 if (Ain) { 409 PetscBool isseqaij; 410 ierr = PetscObjectTypeCompare((PetscObject)Ain,MATSEQAIJ,&isseqaij);CHKERRQ(ierr); 411 if (isseqaij) { 412 ierr = PetscObjectReference((PetscObject)Ain);CHKERRQ(ierr); 413 sub_schurs->A = Ain; 414 } else { 415 ierr = MatConvert(Ain,MATSEQAIJ,MAT_INITIAL_MATRIX,&sub_schurs->A);CHKERRQ(ierr); 416 } 417 } 418 419 ierr = PetscObjectReference((PetscObject)Sin);CHKERRQ(ierr); 420 sub_schurs->S = Sin; 421 if (sub_schurs->schur_explicit) { 422 sub_schurs->schur_explicit = (PetscBool)(!!sub_schurs->A); 423 } 424 425 /* preliminary checks */ 426 if (!sub_schurs->schur_explicit && compute_Stilda) SETERRQ(PetscObjectComm((PetscObject)sub_schurs->l2gmap),PETSC_ERR_SUP,"Adaptive selection of constraints requires MUMPS and/or MKL_PARDISO"); 427 428 if (benign_trick) sub_schurs->is_posdef = PETSC_FALSE; 429 430 /* restrict work on active processes */ 431 color = 0; 432 if (!sub_schurs->n_subs) color = 1; /* this can happen if we are in a multilevel case or if the subdomain is disconnected */ 433 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&rank);CHKERRQ(ierr); 434 ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&subcomm);CHKERRQ(ierr); 435 ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr); 436 ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr); 437 ierr = PetscCommDuplicate(PetscSubcommChild(subcomm),&comm_n,NULL);CHKERRQ(ierr); 438 ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr); 439 if (!sub_schurs->n_subs) { 440 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 441 PetscFunctionReturn(0); 442 } 443 /* ierr = PetscCommDuplicate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&comm_n,NULL);CHKERRQ(ierr); */ 444 445 /* get Schur complement matrices */ 446 if (!sub_schurs->schur_explicit) { 447 Mat tA_IB,tA_BI,tA_BB; 448 PetscBool isseqsbaij; 449 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,&tA_IB,&tA_BI,&tA_BB);CHKERRQ(ierr); 450 ierr = PetscObjectTypeCompare((PetscObject)tA_BB,MATSEQSBAIJ,&isseqsbaij);CHKERRQ(ierr); 451 if (isseqsbaij) { 452 ierr = MatConvert(tA_BB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BB);CHKERRQ(ierr); 453 ierr = MatConvert(tA_IB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr); 454 ierr = MatConvert(tA_BI,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr); 455 } else { 456 ierr = PetscObjectReference((PetscObject)tA_BB);CHKERRQ(ierr); 457 A_BB = tA_BB; 458 ierr = PetscObjectReference((PetscObject)tA_IB);CHKERRQ(ierr); 459 A_IB = tA_IB; 460 ierr = PetscObjectReference((PetscObject)tA_BI);CHKERRQ(ierr); 461 A_BI = tA_BI; 462 } 463 } else { 464 A_II = NULL; 465 A_IB = NULL; 466 A_BI = NULL; 467 A_BB = NULL; 468 } 469 S_all = NULL; 470 471 /* determine interior problems */ 472 ierr = ISGetLocalSize(sub_schurs->is_I,&i);CHKERRQ(ierr); 473 if (nlayers >= 0 && i) { /* Interior problems can be different from the original one */ 474 PetscBT touched; 475 const PetscInt* idx_B; 476 PetscInt n_I,n_B,n_local_dofs,n_prev_added,j,layer,*local_numbering; 477 478 if (!xadj) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Cannot request layering without adjacency"); 479 /* get sizes */ 480 ierr = ISGetLocalSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 481 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 482 483 ierr = PetscMalloc1(n_I+n_B,&local_numbering);CHKERRQ(ierr); 484 ierr = PetscBTCreate(n_I+n_B,&touched);CHKERRQ(ierr); 485 ierr = PetscBTMemzero(n_I+n_B,touched);CHKERRQ(ierr); 486 487 /* all boundary dofs must be skipped when adding layers */ 488 ierr = ISGetIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 489 for (j=0;j<n_B;j++) { 490 ierr = PetscBTSet(touched,idx_B[j]);CHKERRQ(ierr); 491 } 492 ierr = PetscMemcpy(local_numbering,idx_B,n_B*sizeof(PetscInt));CHKERRQ(ierr); 493 ierr = ISRestoreIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 494 495 /* add prescribed number of layers of dofs */ 496 n_local_dofs = n_B; 497 n_prev_added = n_B; 498 for (layer=0;layer<nlayers;layer++) { 499 PetscInt n_added; 500 if (n_local_dofs == n_I+n_B) break; 501 if (n_local_dofs > n_I+n_B) 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); 502 ierr = PCBDDCAdjGetNextLayer_Private(local_numbering+n_local_dofs,n_prev_added,touched,xadj,adjncy,&n_added);CHKERRQ(ierr); 503 n_prev_added = n_added; 504 n_local_dofs += n_added; 505 if (!n_added) break; 506 } 507 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 508 509 /* IS for I layer dofs in original numbering */ 510 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); 511 ierr = PetscFree(local_numbering);CHKERRQ(ierr); 512 ierr = ISSort(is_I_layer);CHKERRQ(ierr); 513 /* IS for I layer dofs in I numbering */ 514 if (!sub_schurs->schur_explicit) { 515 ISLocalToGlobalMapping ItoNmap; 516 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_I,&ItoNmap);CHKERRQ(ierr); 517 ierr = ISGlobalToLocalMappingApplyIS(ItoNmap,IS_GTOLM_DROP,is_I_layer,&is_I);CHKERRQ(ierr); 518 ierr = ISLocalToGlobalMappingDestroy(&ItoNmap);CHKERRQ(ierr); 519 520 /* II block */ 521 ierr = MatCreateSubMatrix(A_II,is_I,is_I,MAT_INITIAL_MATRIX,&AE_II);CHKERRQ(ierr); 522 } 523 } else { 524 PetscInt n_I; 525 526 /* IS for I dofs in original numbering */ 527 ierr = PetscObjectReference((PetscObject)sub_schurs->is_I);CHKERRQ(ierr); 528 is_I_layer = sub_schurs->is_I; 529 530 /* IS for I dofs in I numbering (strided 1) */ 531 if (!sub_schurs->schur_explicit) { 532 ierr = ISGetSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 533 ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),n_I,0,1,&is_I);CHKERRQ(ierr); 534 535 /* II block is the same */ 536 ierr = PetscObjectReference((PetscObject)A_II);CHKERRQ(ierr); 537 AE_II = A_II; 538 } 539 } 540 541 /* Get info on subset sizes and sum of all subsets sizes */ 542 max_subset_size = 0; 543 local_size = 0; 544 for (i=0;i<sub_schurs->n_subs;i++) { 545 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 546 max_subset_size = PetscMax(subset_size,max_subset_size); 547 local_size += subset_size; 548 } 549 550 /* Work arrays for local indices */ 551 extra = 0; 552 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 553 if (sub_schurs->schur_explicit && is_I_layer) { 554 ierr = ISGetLocalSize(is_I_layer,&extra);CHKERRQ(ierr); 555 } 556 ierr = PetscMalloc1(n_B+extra,&all_local_idx_N);CHKERRQ(ierr); 557 if (extra) { 558 const PetscInt *idxs; 559 ierr = ISGetIndices(is_I_layer,&idxs);CHKERRQ(ierr); 560 ierr = PetscMemcpy(all_local_idx_N,idxs,extra*sizeof(PetscInt));CHKERRQ(ierr); 561 ierr = ISRestoreIndices(is_I_layer,&idxs);CHKERRQ(ierr); 562 } 563 ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr); 564 ierr = PetscMalloc1(sub_schurs->n_subs,&auxnum1);CHKERRQ(ierr); 565 ierr = PetscMalloc1(sub_schurs->n_subs,&auxnum2);CHKERRQ(ierr); 566 567 /* Get local indices in local numbering */ 568 local_size = 0; 569 for (i=0;i<sub_schurs->n_subs;i++) { 570 PetscInt j; 571 const PetscInt *idxs; 572 573 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 574 ierr = ISGetIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 575 /* start (smallest in global ordering) and multiplicity */ 576 auxnum1[i] = idxs[0]; 577 auxnum2[i] = subset_size; 578 /* subset indices in local numbering */ 579 ierr = PetscMemcpy(all_local_idx_N+local_size+extra,idxs,subset_size*sizeof(PetscInt));CHKERRQ(ierr); 580 ierr = ISRestoreIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 581 for (j=0;j<subset_size;j++) nnz[local_size+j] = subset_size; 582 local_size += subset_size; 583 } 584 585 /* allocate extra workspace needed only for GETRI or SYTRF */ 586 use_potr = use_sytr = PETSC_FALSE; 587 if (benign_trick || (sub_schurs->is_hermitian && sub_schurs->is_posdef)) { 588 use_potr = PETSC_TRUE; 589 } else if (sub_schurs->is_symmetric) { 590 use_sytr = PETSC_TRUE; 591 } 592 if (local_size && !use_potr) { 593 PetscScalar lwork,dummyscalar = 0.; 594 PetscBLASInt dummyint = 0; 595 596 B_lwork = -1; 597 ierr = PetscBLASIntCast(local_size,&B_N);CHKERRQ(ierr); 598 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 599 if (use_sytr) { 600 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,&dummyscalar,&B_N,&dummyint,&lwork,&B_lwork,&B_ierr)); 601 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYTRF Lapack routine %d",(int)B_ierr); 602 } else { 603 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,&dummyscalar,&B_N,&dummyint,&lwork,&B_lwork,&B_ierr)); 604 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr); 605 } 606 ierr = PetscFPTrapPop();CHKERRQ(ierr); 607 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&B_lwork);CHKERRQ(ierr); 608 ierr = PetscMalloc2(B_lwork,&Bwork,B_N,&pivots);CHKERRQ(ierr); 609 } else { 610 Bwork = NULL; 611 pivots = NULL; 612 } 613 614 /* prepare parallel matrices for summing up properly schurs on subsets */ 615 ierr = ISCreateGeneral(comm_n,sub_schurs->n_subs,auxnum1,PETSC_OWN_POINTER,&all_subsets_n);CHKERRQ(ierr); 616 ierr = ISLocalToGlobalMappingApplyIS(sub_schurs->l2gmap,all_subsets_n,&all_subsets);CHKERRQ(ierr); 617 ierr = ISDestroy(&all_subsets_n);CHKERRQ(ierr); 618 ierr = ISCreateGeneral(comm_n,sub_schurs->n_subs,auxnum2,PETSC_OWN_POINTER,&all_subsets_mult);CHKERRQ(ierr); 619 ierr = ISRenumber(all_subsets,all_subsets_mult,&global_size,&all_subsets_n);CHKERRQ(ierr); 620 ierr = ISDestroy(&all_subsets);CHKERRQ(ierr); 621 ierr = ISDestroy(&all_subsets_mult);CHKERRQ(ierr); 622 ierr = ISGetLocalSize(all_subsets_n,&i);CHKERRQ(ierr); 623 if (i != local_size) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Invalid size of new subset! %D != %D",i,local_size); 624 ierr = ISLocalToGlobalMappingCreateIS(all_subsets_n,&l2gmap_subsets);CHKERRQ(ierr); 625 ierr = MatCreateIS(comm_n,1,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size,l2gmap_subsets,NULL,&work_mat);CHKERRQ(ierr); 626 ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subsets);CHKERRQ(ierr); 627 ierr = MatCreate(PetscObjectComm((PetscObject)work_mat),&global_schur_subsets);CHKERRQ(ierr); 628 ierr = MatSetSizes(global_schur_subsets,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size);CHKERRQ(ierr); 629 ierr = MatSetType(global_schur_subsets,MATMPIAIJ);CHKERRQ(ierr); 630 631 /* subset indices in local boundary numbering */ 632 if (!sub_schurs->is_Ej_all) { 633 PetscInt *all_local_idx_B; 634 635 ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr); 636 ierr = ISGlobalToLocalMappingApply(sub_schurs->BtoNmap,IS_GTOLM_DROP,local_size,all_local_idx_N+extra,&subset_size,all_local_idx_B);CHKERRQ(ierr); 637 if (subset_size != local_size) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in sub_schurs serial (BtoNmap)! %D != %D\n",subset_size,local_size); 638 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&sub_schurs->is_Ej_all);CHKERRQ(ierr); 639 } 640 641 if (change) { 642 ISLocalToGlobalMapping BtoS; 643 IS change_primal_B; 644 IS change_primal_all; 645 646 if (sub_schurs->change_primal_sub) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 647 if (sub_schurs->change) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 648 ierr = PetscMalloc1(sub_schurs->n_subs,&sub_schurs->change_primal_sub);CHKERRQ(ierr); 649 for (i=0;i<sub_schurs->n_subs;i++) { 650 ISLocalToGlobalMapping NtoS; 651 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_subs[i],&NtoS);CHKERRQ(ierr); 652 ierr = ISGlobalToLocalMappingApplyIS(NtoS,IS_GTOLM_DROP,change_primal,&sub_schurs->change_primal_sub[i]);CHKERRQ(ierr); 653 ierr = ISLocalToGlobalMappingDestroy(&NtoS);CHKERRQ(ierr); 654 } 655 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,change_primal,&change_primal_B);CHKERRQ(ierr); 656 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_Ej_all,&BtoS);CHKERRQ(ierr); 657 ierr = ISGlobalToLocalMappingApplyIS(BtoS,IS_GTOLM_DROP,change_primal_B,&change_primal_all);CHKERRQ(ierr); 658 ierr = ISLocalToGlobalMappingDestroy(&BtoS);CHKERRQ(ierr); 659 ierr = ISDestroy(&change_primal_B);CHKERRQ(ierr); 660 ierr = PetscMalloc1(sub_schurs->n_subs,&sub_schurs->change);CHKERRQ(ierr); 661 for (i=0;i<sub_schurs->n_subs;i++) { 662 Mat change_sub; 663 664 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 665 ierr = KSPCreate(PETSC_COMM_SELF,&sub_schurs->change[i]);CHKERRQ(ierr); 666 ierr = KSPSetType(sub_schurs->change[i],KSPPREONLY);CHKERRQ(ierr); 667 if (!sub_schurs->change_with_qr) { 668 ierr = MatCreateSubMatrix(change,sub_schurs->is_subs[i],sub_schurs->is_subs[i],MAT_INITIAL_MATRIX,&change_sub);CHKERRQ(ierr); 669 } else { 670 Mat change_subt; 671 ierr = MatCreateSubMatrix(change,sub_schurs->is_subs[i],sub_schurs->is_subs[i],MAT_INITIAL_MATRIX,&change_subt);CHKERRQ(ierr); 672 ierr = MatConvert(change_subt,MATSEQDENSE,MAT_INITIAL_MATRIX,&change_sub);CHKERRQ(ierr); 673 ierr = MatDestroy(&change_subt);CHKERRQ(ierr); 674 } 675 ierr = KSPSetOperators(sub_schurs->change[i],change_sub,change_sub);CHKERRQ(ierr); 676 ierr = MatDestroy(&change_sub);CHKERRQ(ierr); 677 ierr = KSPSetOptionsPrefix(sub_schurs->change[i],sub_schurs->prefix);CHKERRQ(ierr); 678 ierr = KSPAppendOptionsPrefix(sub_schurs->change[i],"sub_schurs_change_");CHKERRQ(ierr); 679 } 680 ierr = ISDestroy(&change_primal_all);CHKERRQ(ierr); 681 } 682 683 /* Local matrix of all local Schur on subsets (transposed) */ 684 if (!sub_schurs->S_Ej_all) { 685 ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->S_Ej_all);CHKERRQ(ierr); 686 ierr = MatSetSizes(sub_schurs->S_Ej_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 687 ierr = MatSetType(sub_schurs->S_Ej_all,MATAIJ);CHKERRQ(ierr); 688 ierr = MatSeqAIJSetPreallocation(sub_schurs->S_Ej_all,0,nnz);CHKERRQ(ierr); 689 } 690 691 /* Compute Schur complements explicitly */ 692 F = NULL; 693 if (!sub_schurs->schur_explicit) { 694 /* this code branch is used when MatFactor with Schur complement support is not present or when explicitly requested; 695 it is not efficient, unless the economic version of the scaling is used */ 696 Mat S_Ej_expl; 697 PetscScalar *work; 698 PetscInt j,*dummy_idx; 699 PetscBool Sdense; 700 701 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 702 local_size = 0; 703 for (i=0;i<sub_schurs->n_subs;i++) { 704 IS is_subset_B; 705 Mat AE_EE,AE_IE,AE_EI,S_Ej; 706 707 /* subsets in original and boundary numbering */ 708 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_subs[i],&is_subset_B);CHKERRQ(ierr); 709 /* EE block */ 710 ierr = MatCreateSubMatrix(A_BB,is_subset_B,is_subset_B,MAT_INITIAL_MATRIX,&AE_EE);CHKERRQ(ierr); 711 /* IE block */ 712 ierr = MatCreateSubMatrix(A_IB,is_I,is_subset_B,MAT_INITIAL_MATRIX,&AE_IE);CHKERRQ(ierr); 713 /* EI block */ 714 if (sub_schurs->is_symmetric) { 715 ierr = MatCreateTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 716 } else if (sub_schurs->is_hermitian) { 717 ierr = MatCreateHermitianTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 718 } else { 719 ierr = MatCreateSubMatrix(A_BI,is_subset_B,is_I,MAT_INITIAL_MATRIX,&AE_EI);CHKERRQ(ierr); 720 } 721 ierr = ISDestroy(&is_subset_B);CHKERRQ(ierr); 722 ierr = MatCreateSchurComplement(AE_II,AE_II,AE_IE,AE_EI,AE_EE,&S_Ej);CHKERRQ(ierr); 723 ierr = MatDestroy(&AE_EE);CHKERRQ(ierr); 724 ierr = MatDestroy(&AE_IE);CHKERRQ(ierr); 725 ierr = MatDestroy(&AE_EI);CHKERRQ(ierr); 726 if (AE_II == A_II) { /* we can reuse the same ksp */ 727 KSP ksp; 728 ierr = MatSchurComplementGetKSP(sub_schurs->S,&ksp);CHKERRQ(ierr); 729 ierr = MatSchurComplementSetKSP(S_Ej,ksp);CHKERRQ(ierr); 730 } else { /* build new ksp object which inherits ksp and pc types from the original one */ 731 KSP origksp,schurksp; 732 PC origpc,schurpc; 733 KSPType ksp_type; 734 PetscInt n_internal; 735 PetscBool ispcnone; 736 737 ierr = MatSchurComplementGetKSP(sub_schurs->S,&origksp);CHKERRQ(ierr); 738 ierr = MatSchurComplementGetKSP(S_Ej,&schurksp);CHKERRQ(ierr); 739 ierr = KSPGetType(origksp,&ksp_type);CHKERRQ(ierr); 740 ierr = KSPSetType(schurksp,ksp_type);CHKERRQ(ierr); 741 ierr = KSPGetPC(schurksp,&schurpc);CHKERRQ(ierr); 742 ierr = KSPGetPC(origksp,&origpc);CHKERRQ(ierr); 743 ierr = PetscObjectTypeCompare((PetscObject)origpc,PCNONE,&ispcnone);CHKERRQ(ierr); 744 if (!ispcnone) { 745 PCType pc_type; 746 ierr = PCGetType(origpc,&pc_type);CHKERRQ(ierr); 747 ierr = PCSetType(schurpc,pc_type);CHKERRQ(ierr); 748 } else { 749 ierr = PCSetType(schurpc,PCLU);CHKERRQ(ierr); 750 } 751 ierr = ISGetSize(is_I,&n_internal);CHKERRQ(ierr); 752 if (n_internal) { /* UMFPACK gives error with 0 sized problems */ 753 MatSolverType solver = NULL; 754 ierr = PCFactorGetMatSolverType(origpc,(MatSolverType*)&solver);CHKERRQ(ierr); 755 if (solver) { 756 ierr = PCFactorSetMatSolverType(schurpc,solver);CHKERRQ(ierr); 757 } 758 } 759 ierr = KSPSetUp(schurksp);CHKERRQ(ierr); 760 } 761 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 762 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej_expl);CHKERRQ(ierr); 763 ierr = PCBDDCComputeExplicitSchur(S_Ej,sub_schurs->is_symmetric,MAT_REUSE_MATRIX,&S_Ej_expl);CHKERRQ(ierr); 764 ierr = PetscObjectTypeCompare((PetscObject)S_Ej_expl,MATSEQDENSE,&Sdense);CHKERRQ(ierr); 765 if (Sdense) { 766 for (j=0;j<subset_size;j++) { 767 dummy_idx[j]=local_size+j; 768 } 769 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 770 } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet implemented for sparse matrices"); 771 ierr = MatDestroy(&S_Ej);CHKERRQ(ierr); 772 ierr = MatDestroy(&S_Ej_expl);CHKERRQ(ierr); 773 local_size += subset_size; 774 } 775 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 776 /* free */ 777 ierr = ISDestroy(&is_I);CHKERRQ(ierr); 778 ierr = MatDestroy(&AE_II);CHKERRQ(ierr); 779 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 780 } else { 781 Mat A,cs_AIB_mat = NULL,benign_AIIm1_ones_mat = NULL; 782 Vec Dall = NULL; 783 IS is_A_all,*is_p_r = NULL; 784 PetscScalar *work,*S_data,*schur_factor,infty = PETSC_MAX_REAL; 785 PetscInt n,n_I,*dummy_idx,size_schur,size_active_schur,cum,cum2; 786 PetscBool economic,solver_S,S_lower_triangular = PETSC_FALSE; 787 PetscBool schur_has_vertices,factor_workaround; 788 PetscBool use_cholesky; 789 790 /* get sizes */ 791 n_I = 0; 792 if (is_I_layer) { 793 ierr = ISGetLocalSize(is_I_layer,&n_I);CHKERRQ(ierr); 794 } 795 economic = PETSC_FALSE; 796 ierr = ISGetLocalSize(sub_schurs->is_I,&cum);CHKERRQ(ierr); 797 if (cum != n_I) economic = PETSC_TRUE; 798 ierr = MatGetLocalSize(sub_schurs->A,&n,NULL);CHKERRQ(ierr); 799 size_active_schur = local_size; 800 801 /* import scaling vector (wrong formulation if we have 3D edges) */ 802 if (scaling && compute_Stilda) { 803 const PetscScalar *array; 804 PetscScalar *array2; 805 const PetscInt *idxs; 806 PetscInt i; 807 808 ierr = ISGetIndices(sub_schurs->is_Ej_all,&idxs);CHKERRQ(ierr); 809 ierr = VecCreateSeq(PETSC_COMM_SELF,size_active_schur,&Dall);CHKERRQ(ierr); 810 ierr = VecGetArrayRead(scaling,&array);CHKERRQ(ierr); 811 ierr = VecGetArray(Dall,&array2);CHKERRQ(ierr); 812 for (i=0;i<size_active_schur;i++) array2[i] = array[idxs[i]]; 813 ierr = VecRestoreArray(Dall,&array2);CHKERRQ(ierr); 814 ierr = VecRestoreArrayRead(scaling,&array);CHKERRQ(ierr); 815 ierr = ISRestoreIndices(sub_schurs->is_Ej_all,&idxs);CHKERRQ(ierr); 816 deluxe = PETSC_FALSE; 817 } 818 819 /* size active schurs does not count any dirichlet or vertex dof on the interface */ 820 factor_workaround = PETSC_FALSE; 821 schur_has_vertices = PETSC_FALSE; 822 cum = n_I+size_active_schur; 823 if (sub_schurs->is_dir) { 824 const PetscInt* idxs; 825 PetscInt n_dir; 826 827 ierr = ISGetLocalSize(sub_schurs->is_dir,&n_dir);CHKERRQ(ierr); 828 ierr = ISGetIndices(sub_schurs->is_dir,&idxs);CHKERRQ(ierr); 829 ierr = PetscMemcpy(all_local_idx_N+cum,idxs,n_dir*sizeof(PetscInt));CHKERRQ(ierr); 830 ierr = ISRestoreIndices(sub_schurs->is_dir,&idxs);CHKERRQ(ierr); 831 cum += n_dir; 832 factor_workaround = PETSC_TRUE; 833 } 834 /* include the primal vertices in the Schur complement */ 835 if (exact_schur && sub_schurs->is_vertices && (compute_Stilda || benign_n)) { 836 PetscInt n_v; 837 838 ierr = ISGetLocalSize(sub_schurs->is_vertices,&n_v);CHKERRQ(ierr); 839 if (n_v) { 840 const PetscInt* idxs; 841 842 ierr = ISGetIndices(sub_schurs->is_vertices,&idxs);CHKERRQ(ierr); 843 ierr = PetscMemcpy(all_local_idx_N+cum,idxs,n_v*sizeof(PetscInt));CHKERRQ(ierr); 844 ierr = ISRestoreIndices(sub_schurs->is_vertices,&idxs);CHKERRQ(ierr); 845 cum += n_v; 846 factor_workaround = PETSC_TRUE; 847 schur_has_vertices = PETSC_TRUE; 848 } 849 } 850 size_schur = cum - n_I; 851 ierr = ISCreateGeneral(PETSC_COMM_SELF,cum,all_local_idx_N,PETSC_OWN_POINTER,&is_A_all);CHKERRQ(ierr); 852 if (cum == n) { 853 ierr = ISSetPermutation(is_A_all);CHKERRQ(ierr); 854 ierr = MatPermute(sub_schurs->A,is_A_all,is_A_all,&A);CHKERRQ(ierr); 855 } else { 856 ierr = MatCreateSubMatrix(sub_schurs->A,is_A_all,is_A_all,MAT_INITIAL_MATRIX,&A);CHKERRQ(ierr); 857 } 858 ierr = MatSetOptionsPrefix(A,sub_schurs->prefix);CHKERRQ(ierr); 859 ierr = MatAppendOptionsPrefix(A,"sub_schurs_");CHKERRQ(ierr); 860 861 /* if we actually change the basis for the pressures, LDL^T factors will use a lot of memory 862 n^2 instead of n^1.5 or something. This is a workaround */ 863 if (benign_n) { 864 Vec v; 865 ISLocalToGlobalMapping N_to_reor; 866 IS is_p0,is_p0_p; 867 PetscScalar *cs_AIB,*AIIm1_data; 868 PetscInt sizeA; 869 870 ierr = ISLocalToGlobalMappingCreateIS(is_A_all,&N_to_reor);CHKERRQ(ierr); 871 ierr = ISCreateGeneral(PETSC_COMM_SELF,benign_n,benign_p0_lidx,PETSC_COPY_VALUES,&is_p0);CHKERRQ(ierr); 872 ierr = ISGlobalToLocalMappingApplyIS(N_to_reor,IS_GTOLM_DROP,is_p0,&is_p0_p);CHKERRQ(ierr); 873 ierr = ISDestroy(&is_p0);CHKERRQ(ierr); 874 ierr = MatCreateVecs(A,&v,NULL);CHKERRQ(ierr); 875 ierr = VecGetSize(v,&sizeA);CHKERRQ(ierr); 876 ierr = MatCreateSeqDense(PETSC_COMM_SELF,sizeA,benign_n,NULL,&benign_AIIm1_ones_mat);CHKERRQ(ierr); 877 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_schur,benign_n,NULL,&cs_AIB_mat);CHKERRQ(ierr); 878 ierr = MatDenseGetArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 879 ierr = MatDenseGetArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 880 ierr = PetscMalloc1(benign_n,&is_p_r);CHKERRQ(ierr); 881 /* compute colsum of A_IB restricted to pressures */ 882 for (i=0;i<benign_n;i++) { 883 Vec benign_AIIm1_ones; 884 PetscScalar *array; 885 const PetscInt *idxs; 886 PetscInt j,nz; 887 888 ierr = ISGlobalToLocalMappingApplyIS(N_to_reor,IS_GTOLM_DROP,benign_zerodiag_subs[i],&is_p_r[i]);CHKERRQ(ierr); 889 ierr = ISGetLocalSize(is_p_r[i],&nz);CHKERRQ(ierr); 890 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 891 for (j=0;j<nz;j++) AIIm1_data[idxs[j]+sizeA*i] = 1.; 892 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 893 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,sizeA,AIIm1_data+sizeA*i,&benign_AIIm1_ones);CHKERRQ(ierr); 894 ierr = MatMult(A,benign_AIIm1_ones,v);CHKERRQ(ierr); 895 ierr = VecDestroy(&benign_AIIm1_ones);CHKERRQ(ierr); 896 ierr = VecGetArray(v,&array);CHKERRQ(ierr); 897 for (j=0;j<size_schur;j++) { 898 #if defined(PETSC_USE_COMPLEX) 899 cs_AIB[i*size_schur + j] = (PetscRealPart(array[j+n_I])/nz + PETSC_i*(PetscImaginaryPart(array[j+n_I])/nz)); 900 #else 901 cs_AIB[i*size_schur + j] = array[j+n_I]/nz; 902 #endif 903 } 904 ierr = VecRestoreArray(v,&array);CHKERRQ(ierr); 905 } 906 ierr = MatDenseRestoreArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 907 ierr = MatDenseRestoreArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 908 ierr = VecDestroy(&v);CHKERRQ(ierr); 909 ierr = MatSetOption(A,MAT_KEEP_NONZERO_PATTERN,PETSC_FALSE);CHKERRQ(ierr); 910 ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr); 911 ierr = MatSetOption(A,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr); 912 ierr = MatZeroRowsColumnsIS(A,is_p0_p,1.0,NULL,NULL);CHKERRQ(ierr); 913 ierr = ISDestroy(&is_p0_p);CHKERRQ(ierr); 914 ierr = ISLocalToGlobalMappingDestroy(&N_to_reor);CHKERRQ(ierr); 915 } 916 ierr = MatSetOption(A,MAT_SYMMETRIC,sub_schurs->is_symmetric);CHKERRQ(ierr); 917 ierr = MatSetOption(A,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr); 918 ierr = MatSetOption(A,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr); 919 920 /* for complexes, symmetric and hermitian at the same time implies null imaginary part */ 921 use_cholesky = (PetscBool)((use_potr || use_sytr) && sub_schurs->is_hermitian && sub_schurs->is_symmetric); 922 923 /* when using the benign subspace trick, the local Schur complements are SPD */ 924 if (benign_trick) sub_schurs->is_posdef = PETSC_TRUE; 925 926 if (n_I) { 927 IS is_schur; 928 929 if (use_cholesky) { 930 ierr = MatGetFactor(A,sub_schurs->mat_solver_type,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr); 931 } else { 932 ierr = MatGetFactor(A,sub_schurs->mat_solver_type,MAT_FACTOR_LU,&F);CHKERRQ(ierr); 933 } 934 ierr = MatSetErrorIfFailure(A,PETSC_TRUE);CHKERRQ(ierr); 935 936 /* subsets ordered last */ 937 ierr = ISCreateStride(PETSC_COMM_SELF,size_schur,n_I,1,&is_schur);CHKERRQ(ierr); 938 ierr = MatFactorSetSchurIS(F,is_schur);CHKERRQ(ierr); 939 ierr = ISDestroy(&is_schur);CHKERRQ(ierr); 940 941 /* factorization step */ 942 if (use_cholesky) { 943 ierr = MatCholeskyFactorSymbolic(F,A,NULL,NULL);CHKERRQ(ierr); 944 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */ 945 ierr = MatMumpsSetIcntl(F,19,2);CHKERRQ(ierr); 946 #endif 947 ierr = MatCholeskyFactorNumeric(F,A,NULL);CHKERRQ(ierr); 948 S_lower_triangular = PETSC_TRUE; 949 } else { 950 ierr = MatLUFactorSymbolic(F,A,NULL,NULL,NULL);CHKERRQ(ierr); 951 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */ 952 ierr = MatMumpsSetIcntl(F,19,3);CHKERRQ(ierr); 953 #endif 954 ierr = MatLUFactorNumeric(F,A,NULL);CHKERRQ(ierr); 955 } 956 ierr = MatViewFromOptions(F,(PetscObject)A,"-mat_factor_view");CHKERRQ(ierr); 957 958 #if defined(SUB_SCHURS_DEBUG) 959 { 960 PetscViewer viewer; 961 char filename[256]; 962 Mat S; 963 IS is; 964 965 sprintf(filename,"sub_schurs_Schur_r%d.m",PetscGlobalRank); 966 ierr = PetscViewerASCIIOpen(PETSC_COMM_SELF,filename,&viewer);CHKERRQ(ierr); 967 ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 968 ierr = PetscObjectSetName((PetscObject)A,"A");CHKERRQ(ierr); 969 ierr = MatView(A,viewer);CHKERRQ(ierr); 970 ierr = MatFactorCreateSchurComplement(F,&S,NULL);CHKERRQ(ierr); 971 ierr = PetscObjectSetName((PetscObject)S,"S");CHKERRQ(ierr); 972 ierr = MatView(S,viewer);CHKERRQ(ierr); 973 ierr = MatDestroy(&S);CHKERRQ(ierr); 974 ierr = ISCreateStride(PETSC_COMM_SELF,n_I,0,1,&is);CHKERRQ(ierr); 975 ierr = PetscObjectSetName((PetscObject)is,"I");CHKERRQ(ierr); 976 ierr = ISView(is,viewer);CHKERRQ(ierr); 977 ierr = ISDestroy(&is);CHKERRQ(ierr); 978 ierr = ISCreateStride(PETSC_COMM_SELF,size_schur,n_I,1,&is);CHKERRQ(ierr); 979 ierr = PetscObjectSetName((PetscObject)is,"B");CHKERRQ(ierr); 980 ierr = ISView(is,viewer);CHKERRQ(ierr); 981 ierr = ISDestroy(&is);CHKERRQ(ierr); 982 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 983 } 984 #endif 985 986 /* get explicit Schur Complement computed during numeric factorization */ 987 ierr = MatFactorGetSchurComplement(F,&S_all,NULL);CHKERRQ(ierr); 988 ierr = MatSetOption(S_all,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr); 989 ierr = MatSetOption(S_all,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr); 990 991 /* we can reuse the solvers if we are not using the economic version */ 992 reuse_solvers = (PetscBool)(reuse_solvers && !economic); 993 factor_workaround = (PetscBool)(reuse_solvers && factor_workaround); 994 if (!sub_schurs->is_posdef && factor_workaround && compute_Stilda && size_active_schur) 995 reuse_solvers = factor_workaround = PETSC_FALSE; 996 997 solver_S = PETSC_TRUE; 998 999 /* update the Schur complement with the change of basis on the pressures */ 1000 if (benign_n) { 1001 PetscScalar *S_data,*cs_AIB,*AIIm1_data; 1002 Vec v; 1003 PetscInt sizeA; 1004 1005 ierr = MatDenseGetArray(S_all,&S_data);CHKERRQ(ierr); 1006 ierr = MatCreateVecs(A,&v,NULL);CHKERRQ(ierr); 1007 ierr = VecGetSize(v,&sizeA);CHKERRQ(ierr); 1008 #if defined(PETSC_HAVE_MUMPS) 1009 ierr = MatMumpsSetIcntl(F,26,0);CHKERRQ(ierr); 1010 #endif 1011 #if defined(PETSC_HAVE_MKL_PARDISO) 1012 ierr = MatMkl_PardisoSetCntl(F,70,1);CHKERRQ(ierr); 1013 #endif 1014 ierr = MatDenseGetArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 1015 ierr = MatDenseGetArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 1016 for (i=0;i<benign_n;i++) { 1017 Vec benign_AIIm1_ones; 1018 PetscScalar *array,sum = 0.,one = 1.; 1019 const PetscInt *idxs; 1020 PetscInt j,nz; 1021 PetscBLASInt B_k,B_n; 1022 1023 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,sizeA,AIIm1_data+sizeA*i,&benign_AIIm1_ones);CHKERRQ(ierr); 1024 ierr = VecCopy(benign_AIIm1_ones,v);CHKERRQ(ierr); 1025 ierr = MatSolve(F,v,benign_AIIm1_ones);CHKERRQ(ierr); 1026 ierr = ISGetLocalSize(is_p_r[i],&nz);CHKERRQ(ierr); 1027 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1028 /* p0 dof (eliminated) is excluded from the sum */ 1029 for (j=0;j<nz-1;j++) sum -= AIIm1_data[idxs[j]+sizeA*i]; 1030 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1031 ierr = MatMult(A,benign_AIIm1_ones,v);CHKERRQ(ierr); 1032 ierr = VecGetArray(v,&array);CHKERRQ(ierr); 1033 /* perform sparse rank updates on symmetric Schur (TODO: move outside of the loop?) */ 1034 /* cs_AIB already scaled by 1./nz */ 1035 B_k = 1; 1036 ierr = PetscBLASIntCast(size_schur,&B_n);CHKERRQ(ierr); 1037 PetscStackCallBLAS("BLASsyrk",BLASsyrk_("L","N",&B_n,&B_k,&sum,cs_AIB+i*size_schur,&B_n,&one,S_data,&B_n)); 1038 sum = 1.; 1039 PetscStackCallBLAS("BLASsyr2k",BLASsyr2k_("L","N",&B_n,&B_k,&sum,array+n_I,&B_n,cs_AIB+i*size_schur,&B_n,&one,S_data,&B_n)); 1040 ierr = VecRestoreArray(v,&array);CHKERRQ(ierr); 1041 /* set p0 entry of AIIm1_ones to zero */ 1042 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1043 for (j=0;j<benign_n;j++) AIIm1_data[idxs[nz-1]+sizeA*j] = 0.; 1044 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1045 ierr = VecDestroy(&benign_AIIm1_ones);CHKERRQ(ierr); 1046 } 1047 if (!S_lower_triangular) { /* I need to expand the upper triangular data (column oriented) */ 1048 PetscInt k,j; 1049 for (k=0;k<size_schur;k++) { 1050 for (j=k;j<size_schur;j++) { 1051 S_data[j*size_schur+k] = PetscConj(S_data[k*size_schur+j]); 1052 } 1053 } 1054 } 1055 1056 /* restore defaults */ 1057 #if defined(PETSC_HAVE_MUMPS) 1058 ierr = MatMumpsSetIcntl(F,26,-1);CHKERRQ(ierr); 1059 #endif 1060 #if defined(PETSC_HAVE_MKL_PARDISO) 1061 ierr = MatMkl_PardisoSetCntl(F,70,0);CHKERRQ(ierr); 1062 #endif 1063 ierr = MatDenseRestoreArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 1064 ierr = MatDenseRestoreArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 1065 ierr = VecDestroy(&v);CHKERRQ(ierr); 1066 ierr = MatDenseRestoreArray(S_all,&S_data);CHKERRQ(ierr); 1067 } 1068 if (!reuse_solvers) { 1069 for (i=0;i<benign_n;i++) { 1070 ierr = ISDestroy(&is_p_r[i]);CHKERRQ(ierr); 1071 } 1072 ierr = PetscFree(is_p_r);CHKERRQ(ierr); 1073 ierr = MatDestroy(&cs_AIB_mat);CHKERRQ(ierr); 1074 ierr = MatDestroy(&benign_AIIm1_ones_mat);CHKERRQ(ierr); 1075 } 1076 } else { /* we can't use MatFactor when size_schur == size_of_the_problem */ 1077 ierr = MatConvert(A,MATSEQDENSE,MAT_INITIAL_MATRIX,&S_all);CHKERRQ(ierr); 1078 reuse_solvers = PETSC_FALSE; /* TODO: why we can't reuse the solvers here? */ 1079 factor_workaround = PETSC_FALSE; 1080 solver_S = PETSC_FALSE; 1081 } 1082 1083 if (reuse_solvers) { 1084 Mat A_II,Afake; 1085 Vec vec1_B; 1086 PCBDDCReuseSolvers msolv_ctx; 1087 PetscInt n_R; 1088 1089 if (sub_schurs->reuse_solver) { 1090 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 1091 } else { 1092 ierr = PetscNew(&sub_schurs->reuse_solver);CHKERRQ(ierr); 1093 } 1094 msolv_ctx = sub_schurs->reuse_solver; 1095 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,NULL,NULL,NULL);CHKERRQ(ierr); 1096 ierr = PetscObjectReference((PetscObject)F);CHKERRQ(ierr); 1097 msolv_ctx->F = F; 1098 ierr = MatCreateVecs(F,&msolv_ctx->sol,NULL);CHKERRQ(ierr); 1099 /* currently PETSc has no support for MatSolve(F,x,x), so cheat and let rhs and sol share the same memory */ 1100 { 1101 PetscScalar *array; 1102 PetscInt n; 1103 1104 ierr = VecGetLocalSize(msolv_ctx->sol,&n);CHKERRQ(ierr); 1105 ierr = VecGetArray(msolv_ctx->sol,&array);CHKERRQ(ierr); 1106 ierr = VecCreateSeqWithArray(PetscObjectComm((PetscObject)msolv_ctx->sol),1,n,array,&msolv_ctx->rhs);CHKERRQ(ierr); 1107 ierr = VecRestoreArray(msolv_ctx->sol,&array);CHKERRQ(ierr); 1108 } 1109 msolv_ctx->has_vertices = schur_has_vertices; 1110 1111 /* interior solver */ 1112 ierr = PCCreate(PetscObjectComm((PetscObject)A_II),&msolv_ctx->interior_solver);CHKERRQ(ierr); 1113 ierr = PCSetOperators(msolv_ctx->interior_solver,A_II,A_II);CHKERRQ(ierr); 1114 ierr = PCSetType(msolv_ctx->interior_solver,PCSHELL);CHKERRQ(ierr); 1115 ierr = PCShellSetContext(msolv_ctx->interior_solver,msolv_ctx);CHKERRQ(ierr); 1116 ierr = PCShellSetApply(msolv_ctx->interior_solver,PCBDDCReuseSolvers_Interior);CHKERRQ(ierr); 1117 ierr = PCShellSetApplyTranspose(msolv_ctx->interior_solver,PCBDDCReuseSolvers_InteriorTranspose);CHKERRQ(ierr); 1118 1119 /* correction solver */ 1120 ierr = PCCreate(PetscObjectComm((PetscObject)A_II),&msolv_ctx->correction_solver);CHKERRQ(ierr); 1121 ierr = PCSetType(msolv_ctx->correction_solver,PCSHELL);CHKERRQ(ierr); 1122 ierr = PCShellSetContext(msolv_ctx->correction_solver,msolv_ctx);CHKERRQ(ierr); 1123 ierr = PCShellSetApply(msolv_ctx->correction_solver,PCBDDCReuseSolvers_Correction);CHKERRQ(ierr); 1124 ierr = PCShellSetApplyTranspose(msolv_ctx->correction_solver,PCBDDCReuseSolvers_CorrectionTranspose);CHKERRQ(ierr); 1125 1126 /* scatter and vecs for Schur complement solver */ 1127 ierr = MatCreateVecs(S_all,&msolv_ctx->sol_B,&msolv_ctx->rhs_B);CHKERRQ(ierr); 1128 ierr = MatCreateVecs(sub_schurs->S,&vec1_B,NULL);CHKERRQ(ierr); 1129 if (!schur_has_vertices) { 1130 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,is_A_all,&msolv_ctx->is_B);CHKERRQ(ierr); 1131 ierr = VecScatterCreate(vec1_B,msolv_ctx->is_B,msolv_ctx->sol_B,NULL,&msolv_ctx->correction_scatter_B);CHKERRQ(ierr); 1132 ierr = PetscObjectReference((PetscObject)is_A_all);CHKERRQ(ierr); 1133 msolv_ctx->is_R = is_A_all; 1134 } else { 1135 IS is_B_all; 1136 const PetscInt* idxs; 1137 PetscInt dual,n_v,n; 1138 1139 ierr = ISGetLocalSize(sub_schurs->is_vertices,&n_v);CHKERRQ(ierr); 1140 dual = size_schur - n_v; 1141 ierr = ISGetLocalSize(is_A_all,&n);CHKERRQ(ierr); 1142 ierr = ISGetIndices(is_A_all,&idxs);CHKERRQ(ierr); 1143 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)is_A_all),dual,idxs+n_I,PETSC_COPY_VALUES,&is_B_all);CHKERRQ(ierr); 1144 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,is_B_all,&msolv_ctx->is_B);CHKERRQ(ierr); 1145 ierr = ISDestroy(&is_B_all);CHKERRQ(ierr); 1146 ierr = ISCreateStride(PetscObjectComm((PetscObject)is_A_all),dual,0,1,&is_B_all);CHKERRQ(ierr); 1147 ierr = VecScatterCreate(vec1_B,msolv_ctx->is_B,msolv_ctx->sol_B,is_B_all,&msolv_ctx->correction_scatter_B);CHKERRQ(ierr); 1148 ierr = ISDestroy(&is_B_all);CHKERRQ(ierr); 1149 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)is_A_all),n-n_v,idxs,PETSC_COPY_VALUES,&msolv_ctx->is_R);CHKERRQ(ierr); 1150 ierr = ISRestoreIndices(is_A_all,&idxs);CHKERRQ(ierr); 1151 } 1152 ierr = ISGetLocalSize(msolv_ctx->is_R,&n_R);CHKERRQ(ierr); 1153 ierr = MatCreateSeqAIJ(PETSC_COMM_SELF,n_R,n_R,0,NULL,&Afake);CHKERRQ(ierr); 1154 ierr = MatAssemblyBegin(Afake,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1155 ierr = MatAssemblyEnd(Afake,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1156 ierr = PCSetOperators(msolv_ctx->correction_solver,Afake,Afake);CHKERRQ(ierr); 1157 ierr = MatDestroy(&Afake);CHKERRQ(ierr); 1158 ierr = VecDestroy(&vec1_B);CHKERRQ(ierr); 1159 1160 /* communicate benign info to solver context */ 1161 if (benign_n) { 1162 PetscScalar *array; 1163 1164 msolv_ctx->benign_n = benign_n; 1165 msolv_ctx->benign_zerodiag_subs = is_p_r; 1166 ierr = PetscMalloc1(benign_n,&msolv_ctx->benign_save_vals);CHKERRQ(ierr); 1167 msolv_ctx->benign_csAIB = cs_AIB_mat; 1168 ierr = MatCreateVecs(cs_AIB_mat,&msolv_ctx->benign_corr_work,NULL);CHKERRQ(ierr); 1169 ierr = VecGetArray(msolv_ctx->benign_corr_work,&array);CHKERRQ(ierr); 1170 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,size_schur,array,&msolv_ctx->benign_dummy_schur_vec);CHKERRQ(ierr); 1171 ierr = VecRestoreArray(msolv_ctx->benign_corr_work,&array);CHKERRQ(ierr); 1172 msolv_ctx->benign_AIIm1ones = benign_AIIm1_ones_mat; 1173 } 1174 } else { 1175 if (sub_schurs->reuse_solver) { 1176 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 1177 } 1178 ierr = PetscFree(sub_schurs->reuse_solver);CHKERRQ(ierr); 1179 } 1180 ierr = MatDestroy(&A);CHKERRQ(ierr); 1181 ierr = ISDestroy(&is_A_all);CHKERRQ(ierr); 1182 1183 /* Work arrays */ 1184 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 1185 1186 /* matrices for deluxe scaling and adaptive selection */ 1187 if (compute_Stilda) { 1188 if (!sub_schurs->sum_S_Ej_tilda_all) { 1189 ierr = MatDuplicate(sub_schurs->S_Ej_all,MAT_SHARE_NONZERO_PATTERN,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1190 } 1191 if (!sub_schurs->sum_S_Ej_inv_all && deluxe) { 1192 ierr = MatDuplicate(sub_schurs->S_Ej_all,MAT_SHARE_NONZERO_PATTERN,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1193 } 1194 } 1195 1196 /* S_Ej_all */ 1197 cum = cum2 = 0; 1198 ierr = MatDenseGetArray(S_all,&S_data);CHKERRQ(ierr); 1199 for (i=0;i<sub_schurs->n_subs;i++) { 1200 PetscInt j; 1201 1202 /* get S_E */ 1203 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1204 if (S_lower_triangular) { /* I need to expand the upper triangular data (column oriented) */ 1205 PetscInt k; 1206 for (k=0;k<subset_size;k++) { 1207 for (j=k;j<subset_size;j++) { 1208 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1209 work[j*subset_size+k] = PetscConj(S_data[cum2+k*size_schur+j]); 1210 } 1211 } 1212 } else { /* just copy to workspace */ 1213 PetscInt k; 1214 for (k=0;k<subset_size;k++) { 1215 for (j=0;j<subset_size;j++) { 1216 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1217 } 1218 } 1219 } 1220 /* insert S_E values */ 1221 for (j=0;j<subset_size;j++) dummy_idx[j] = cum+j; 1222 if (sub_schurs->change) { 1223 Mat change_sub,SEj,T; 1224 1225 /* change basis */ 1226 ierr = KSPGetOperators(sub_schurs->change[i],&change_sub,NULL);CHKERRQ(ierr); 1227 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1228 if (!sub_schurs->change_with_qr) { /* currently there's no support for PtAP with P SeqAIJ */ 1229 Mat T2; 1230 ierr = MatTransposeMatMult(change_sub,SEj,MAT_INITIAL_MATRIX,1.0,&T2);CHKERRQ(ierr); 1231 ierr = MatMatMult(T2,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1232 ierr = MatConvert(T,MATSEQDENSE,MAT_INPLACE_MATRIX,&T);CHKERRQ(ierr); 1233 ierr = MatDestroy(&T2);CHKERRQ(ierr); 1234 } else { 1235 ierr = MatPtAP(SEj,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1236 } 1237 ierr = MatCopy(T,SEj,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1238 ierr = MatDestroy(&T);CHKERRQ(ierr); 1239 ierr = MatZeroRowsColumnsIS(SEj,sub_schurs->change_primal_sub[i],1.0,NULL,NULL);CHKERRQ(ierr); 1240 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1241 } 1242 if (deluxe) { 1243 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1244 /* if adaptivity is requested, invert S_E blocks */ 1245 if (compute_Stilda) { 1246 PetscInt k; 1247 1248 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 1249 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1250 if (use_potr) { 1251 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,work,&B_N,&B_ierr)); 1252 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1253 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,work,&B_N,&B_ierr)); 1254 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1255 for (k=0;k<subset_size;k++) { 1256 for (j=k;j<subset_size;j++) { 1257 work[j*subset_size+k] = work[k*subset_size+j]; 1258 } 1259 } 1260 } else if (use_sytr) { 1261 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,work,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1262 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr); 1263 PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_("L",&B_N,work,&B_N,pivots,Bwork,&B_ierr)); 1264 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr); 1265 for (k=0;k<subset_size;k++) { 1266 for (j=k;j<subset_size;j++) { 1267 work[j*subset_size+k] = work[k*subset_size+j]; 1268 } 1269 } 1270 } else { 1271 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,work,&B_N,pivots,&B_ierr)); 1272 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1273 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,work,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1274 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1275 } 1276 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1277 ierr = MatSetValues(sub_schurs->sum_S_Ej_inv_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1278 } 1279 } else if (compute_Stilda) { /* not using deluxe */ 1280 Mat SEj; 1281 Vec D; 1282 PetscScalar *array; 1283 1284 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1285 ierr = VecGetArray(Dall,&array);CHKERRQ(ierr); 1286 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,subset_size,array+cum,&D);CHKERRQ(ierr); 1287 ierr = VecRestoreArray(Dall,&array);CHKERRQ(ierr); 1288 ierr = VecShift(D,-1.);CHKERRQ(ierr); 1289 ierr = MatDiagonalScale(SEj,D,D);CHKERRQ(ierr); 1290 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1291 ierr = VecDestroy(&D);CHKERRQ(ierr); 1292 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1293 } 1294 cum += subset_size; 1295 cum2 += subset_size*(size_schur + 1); 1296 } 1297 ierr = MatDenseRestoreArray(S_all,&S_data);CHKERRQ(ierr); 1298 1299 if (solver_S) { 1300 ierr = MatFactorRestoreSchurComplement(F,&S_all,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr); 1301 } 1302 1303 schur_factor = NULL; 1304 if (compute_Stilda && size_active_schur) { 1305 1306 if (sub_schurs->n_subs == 1 && size_schur == size_active_schur && deluxe) { /* we already computed the inverse */ 1307 PetscInt j; 1308 for (j=0;j<size_schur;j++) dummy_idx[j] = j; 1309 ierr = MatSetValues(sub_schurs->sum_S_Ej_tilda_all,size_schur,dummy_idx,size_schur,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1310 } else { 1311 Mat S_all_inv=NULL; 1312 if (solver_S) { 1313 /* for adaptive selection we need S^-1; for solver reusage we need S_\Delta\Delta^-1. 1314 The latter is not the principal subminor for S^-1. However, the factors can be reused since S_\Delta\Delta is the leading principal submatrix of S */ 1315 if (factor_workaround) {/* invert without calling MatFactorInvertSchurComplement, since we are hacking */ 1316 PetscScalar *data; 1317 PetscInt nd = 0; 1318 1319 if (!use_potr) { 1320 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor update not yet implemented for non SPD matrices"); 1321 } 1322 ierr = MatFactorGetSchurComplement(F,&S_all_inv,NULL);CHKERRQ(ierr); 1323 ierr = MatDenseGetArray(S_all_inv,&data);CHKERRQ(ierr); 1324 if (sub_schurs->is_dir) { /* dirichlet dofs could have different scalings */ 1325 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1326 } 1327 1328 /* factor and invert activedofs and vertices (dirichlet dofs does not contribute) */ 1329 if (schur_has_vertices) { 1330 Mat M; 1331 PetscScalar *tdata; 1332 PetscInt nv = 0, news; 1333 1334 ierr = ISGetLocalSize(sub_schurs->is_vertices,&nv);CHKERRQ(ierr); 1335 news = size_active_schur + nv; 1336 ierr = PetscCalloc1(news*news,&tdata);CHKERRQ(ierr); 1337 for (i=0;i<size_active_schur;i++) { 1338 ierr = PetscMemcpy(tdata+i*(news+1),data+i*(size_schur+1),(size_active_schur-i)*sizeof(PetscScalar));CHKERRQ(ierr); 1339 ierr = PetscMemcpy(tdata+i*(news+1)+size_active_schur-i,data+i*size_schur+size_active_schur+nd,nv*sizeof(PetscScalar));CHKERRQ(ierr); 1340 } 1341 for (i=0;i<nv;i++) { 1342 PetscInt k = i+size_active_schur; 1343 ierr = PetscMemcpy(tdata+k*(news+1),data+(k+nd)*(size_schur+1),(nv-i)*sizeof(PetscScalar));CHKERRQ(ierr); 1344 } 1345 1346 ierr = MatCreateSeqDense(PETSC_COMM_SELF,news,news,tdata,&M);CHKERRQ(ierr); 1347 ierr = MatSetOption(M,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr); 1348 ierr = MatCholeskyFactor(M,NULL,NULL);CHKERRQ(ierr); 1349 /* save the factors */ 1350 cum = 0; 1351 ierr = PetscMalloc1((size_active_schur*(size_active_schur +1))/2+nd,&schur_factor);CHKERRQ(ierr); 1352 for (i=0;i<size_active_schur;i++) { 1353 ierr = PetscMemcpy(schur_factor+cum,tdata+i*(news+1),(size_active_schur-i)*sizeof(PetscScalar));CHKERRQ(ierr); 1354 cum += size_active_schur - i; 1355 } 1356 for (i=0;i<nd;i++) schur_factor[cum+i] = PetscSqrtReal(PetscRealPart(data[(i+size_active_schur)*(size_schur+1)])); 1357 ierr = MatSeqDenseInvertFactors_Private(M);CHKERRQ(ierr); 1358 /* move back just the active dofs to the Schur complement */ 1359 for (i=0;i<size_active_schur;i++) { 1360 ierr = PetscMemcpy(data+i*size_schur,tdata+i*news,size_active_schur*sizeof(PetscScalar));CHKERRQ(ierr); 1361 } 1362 ierr = PetscFree(tdata);CHKERRQ(ierr); 1363 ierr = MatDestroy(&M);CHKERRQ(ierr); 1364 } else { /* we can factorize and invert just the activedofs */ 1365 Mat M; 1366 PetscScalar *aux; 1367 1368 ierr = PetscMalloc1(nd,&aux);CHKERRQ(ierr); 1369 for (i=0;i<nd;i++) aux[i] = 1.0/data[(i+size_active_schur)*(size_schur+1)]; 1370 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_active_schur,size_active_schur,data,&M);CHKERRQ(ierr); 1371 ierr = MatSeqDenseSetLDA(M,size_schur);CHKERRQ(ierr); 1372 ierr = MatSetOption(M,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr); 1373 ierr = MatCholeskyFactor(M,NULL,NULL);CHKERRQ(ierr); 1374 ierr = MatSeqDenseInvertFactors_Private(M);CHKERRQ(ierr); 1375 ierr = MatDestroy(&M);CHKERRQ(ierr); 1376 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_schur,nd,data+size_active_schur*size_schur,&M);CHKERRQ(ierr); 1377 ierr = MatZeroEntries(M);CHKERRQ(ierr); 1378 ierr = MatDestroy(&M);CHKERRQ(ierr); 1379 ierr = MatCreateSeqDense(PETSC_COMM_SELF,nd,size_schur,data+size_active_schur,&M);CHKERRQ(ierr); 1380 ierr = MatSeqDenseSetLDA(M,size_schur);CHKERRQ(ierr); 1381 ierr = MatZeroEntries(M);CHKERRQ(ierr); 1382 ierr = MatDestroy(&M);CHKERRQ(ierr); 1383 for (i=0;i<nd;i++) data[(i+size_active_schur)*(size_schur+1)] = aux[i]; 1384 ierr = PetscFree(aux);CHKERRQ(ierr); 1385 } 1386 ierr = MatDenseRestoreArray(S_all_inv,&data);CHKERRQ(ierr); 1387 } else { /* use MatFactor calls to invert S */ 1388 ierr = MatFactorInvertSchurComplement(F);CHKERRQ(ierr); 1389 ierr = MatFactorGetSchurComplement(F,&S_all_inv,NULL);CHKERRQ(ierr); 1390 } 1391 } else { /* we need to invert explicitly since we are not using MatFactor for S */ 1392 ierr = PetscObjectReference((PetscObject)S_all);CHKERRQ(ierr); 1393 S_all_inv = S_all; 1394 ierr = MatDenseGetArray(S_all_inv,&S_data);CHKERRQ(ierr); 1395 ierr = PetscBLASIntCast(size_schur,&B_N);CHKERRQ(ierr); 1396 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1397 if (use_potr) { 1398 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,S_data,&B_N,&B_ierr)); 1399 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1400 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,S_data,&B_N,&B_ierr)); 1401 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1402 } else if (use_sytr) { 1403 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,S_data,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1404 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr); 1405 PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_("L",&B_N,S_data,&B_N,pivots,Bwork,&B_ierr)); 1406 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr); 1407 } else { 1408 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,S_data,&B_N,pivots,&B_ierr)); 1409 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1410 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,S_data,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1411 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1412 } 1413 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1414 ierr = MatDenseRestoreArray(S_all_inv,&S_data);CHKERRQ(ierr); 1415 } 1416 /* S_Ej_tilda_all */ 1417 cum = cum2 = 0; 1418 ierr = MatDenseGetArray(S_all_inv,&S_data);CHKERRQ(ierr); 1419 for (i=0;i<sub_schurs->n_subs;i++) { 1420 PetscInt j; 1421 1422 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1423 /* get (St^-1)_E */ 1424 /* Unless we are changing the variables, I don't need to expand to upper triangular since St^-1 1425 will be properly accessed later during adaptive selection */ 1426 if (S_lower_triangular) { 1427 PetscInt k; 1428 if (sub_schurs->change) { 1429 for (k=0;k<subset_size;k++) { 1430 for (j=k;j<subset_size;j++) { 1431 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1432 work[j*subset_size+k] = work[k*subset_size+j]; 1433 } 1434 } 1435 } else { 1436 for (k=0;k<subset_size;k++) { 1437 for (j=k;j<subset_size;j++) { 1438 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1439 } 1440 } 1441 } 1442 } else { 1443 PetscInt k; 1444 for (k=0;k<subset_size;k++) { 1445 for (j=0;j<subset_size;j++) { 1446 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1447 } 1448 } 1449 } 1450 if (sub_schurs->change) { 1451 Mat change_sub,SEj,T; 1452 1453 /* change basis */ 1454 ierr = KSPGetOperators(sub_schurs->change[i],&change_sub,NULL);CHKERRQ(ierr); 1455 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1456 if (!sub_schurs->change_with_qr) { /* currently there's no support for PtAP with P SeqAIJ */ 1457 Mat T2; 1458 ierr = MatTransposeMatMult(change_sub,SEj,MAT_INITIAL_MATRIX,1.0,&T2);CHKERRQ(ierr); 1459 ierr = MatMatMult(T2,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1460 ierr = MatDestroy(&T2);CHKERRQ(ierr); 1461 ierr = MatConvert(T,MATSEQDENSE,MAT_INPLACE_MATRIX,&T);CHKERRQ(ierr); 1462 } else { 1463 ierr = MatPtAP(SEj,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1464 } 1465 ierr = MatCopy(T,SEj,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1466 ierr = MatDestroy(&T);CHKERRQ(ierr); 1467 /* set diagonal entry to a very large value to pick the basis we are eliminating as the first eigenvectors with adaptive selection */ 1468 ierr = MatZeroRowsColumnsIS(SEj,sub_schurs->change_primal_sub[i],1./PETSC_SMALL,NULL,NULL);CHKERRQ(ierr); 1469 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1470 } 1471 for (j=0;j<subset_size;j++) dummy_idx[j] = cum+j; 1472 ierr = MatSetValues(sub_schurs->sum_S_Ej_tilda_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1473 cum += subset_size; 1474 cum2 += subset_size*(size_schur + 1); 1475 } 1476 ierr = MatDenseRestoreArray(S_all_inv,&S_data);CHKERRQ(ierr); 1477 if (solver_S) { 1478 if (schur_has_vertices) { 1479 ierr = MatFactorRestoreSchurComplement(F,&S_all_inv,MAT_FACTOR_SCHUR_FACTORED);CHKERRQ(ierr); 1480 } else { 1481 ierr = MatFactorRestoreSchurComplement(F,&S_all_inv,MAT_FACTOR_SCHUR_INVERTED);CHKERRQ(ierr); 1482 } 1483 } 1484 ierr = MatDestroy(&S_all_inv);CHKERRQ(ierr); 1485 } 1486 1487 /* move back factors if needed */ 1488 if (schur_has_vertices) { 1489 Mat S_tmp; 1490 PetscInt nd = 0; 1491 1492 if (!solver_S) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 1493 ierr = MatFactorGetSchurComplement(F,&S_tmp,NULL);CHKERRQ(ierr); 1494 if (use_potr) { 1495 PetscScalar *data; 1496 1497 ierr = MatDenseGetArray(S_tmp,&data);CHKERRQ(ierr); 1498 ierr = PetscMemzero(data,size_schur*size_schur*sizeof(PetscScalar));CHKERRQ(ierr); 1499 1500 if (S_lower_triangular) { 1501 cum = 0; 1502 for (i=0;i<size_active_schur;i++) { 1503 ierr = PetscMemcpy(data+i*(size_schur+1),schur_factor+cum,(size_active_schur-i)*sizeof(PetscScalar));CHKERRQ(ierr); 1504 cum += size_active_schur-i; 1505 } 1506 } else { 1507 ierr = PetscMemcpy(data,schur_factor,size_schur*size_schur*sizeof(PetscScalar));CHKERRQ(ierr); 1508 } 1509 if (sub_schurs->is_dir) { 1510 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1511 for (i=0;i<nd;i++) { 1512 data[(i+size_active_schur)*(size_schur+1)] = schur_factor[cum+i]; 1513 } 1514 } 1515 /* workaround: since I cannot modify the matrices used inside the solvers for the forward and backward substitutions, 1516 set the diagonal entry of the Schur factor to a very large value */ 1517 for (i=size_active_schur+nd;i<size_schur;i++) { 1518 data[i*(size_schur+1)] = infty; 1519 } 1520 ierr = MatDenseRestoreArray(S_tmp,&data);CHKERRQ(ierr); 1521 } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor update not yet implemented for non SPD matrices"); 1522 ierr = MatFactorRestoreSchurComplement(F,&S_tmp,MAT_FACTOR_SCHUR_FACTORED);CHKERRQ(ierr); 1523 } 1524 } else if (factor_workaround) { /* we need to eliminate any unneeded coupling */ 1525 PetscScalar *data; 1526 PetscInt nd = 0; 1527 1528 if (sub_schurs->is_dir) { /* dirichlet dofs could have different scalings */ 1529 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1530 } 1531 ierr = MatFactorGetSchurComplement(F,&S_all,NULL);CHKERRQ(ierr); 1532 ierr = MatDenseGetArray(S_all,&data);CHKERRQ(ierr); 1533 for (i=0;i<size_active_schur;i++) { 1534 ierr = PetscMemzero(data+i*size_schur+size_active_schur,(size_schur-size_active_schur)*sizeof(PetscScalar));CHKERRQ(ierr); 1535 } 1536 for (i=size_active_schur+nd;i<size_schur;i++) { 1537 ierr = PetscMemzero(data+i*size_schur+size_active_schur,(size_schur-size_active_schur)*sizeof(PetscScalar));CHKERRQ(ierr); 1538 data[i*(size_schur+1)] = infty; 1539 } 1540 ierr = MatDenseRestoreArray(S_all,&data);CHKERRQ(ierr); 1541 ierr = MatFactorRestoreSchurComplement(F,&S_all,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr); 1542 } 1543 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 1544 ierr = PetscFree(schur_factor);CHKERRQ(ierr); 1545 ierr = VecDestroy(&Dall);CHKERRQ(ierr); 1546 } 1547 ierr = PetscFree(nnz);CHKERRQ(ierr); 1548 ierr = MatDestroy(&F);CHKERRQ(ierr); 1549 ierr = ISDestroy(&is_I_layer);CHKERRQ(ierr); 1550 ierr = MatDestroy(&S_all);CHKERRQ(ierr); 1551 ierr = MatDestroy(&A_BB);CHKERRQ(ierr); 1552 ierr = MatDestroy(&A_IB);CHKERRQ(ierr); 1553 ierr = MatDestroy(&A_BI);CHKERRQ(ierr); 1554 ierr = MatAssemblyBegin(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1555 ierr = MatAssemblyEnd(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1556 if (compute_Stilda) { 1557 ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1558 ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1559 if (deluxe) { 1560 ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1561 ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1562 } 1563 } 1564 /* Global matrix of all assembled Schur on subsets */ 1565 ierr = MatISSetLocalMat(work_mat,sub_schurs->S_Ej_all);CHKERRQ(ierr); 1566 ierr = MatISSetMPIXAIJPreallocation_Private(work_mat,global_schur_subsets,PETSC_TRUE);CHKERRQ(ierr); 1567 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1568 1569 /* Get local part of (\sum_j S_Ej) */ 1570 ierr = MatCreateSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_INITIAL_MATRIX,&submats);CHKERRQ(ierr); 1571 if (!sub_schurs->sum_S_Ej_all) { 1572 ierr = MatDuplicate(submats[0],MAT_COPY_VALUES,&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1573 } else { 1574 ierr = MatCopy(submats[0],sub_schurs->sum_S_Ej_all,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1575 } 1576 1577 /* Get local part of (\sum_j S^-1_Ej) (\sum_j St^-1_Ej) */ 1578 if (compute_Stilda) { 1579 ierr = MatISSetLocalMat(work_mat,sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1580 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1581 ierr = MatCreateSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr); 1582 ierr = MatCopy(submats[0],sub_schurs->sum_S_Ej_tilda_all,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1583 if (deluxe) { 1584 ierr = MatISSetLocalMat(work_mat,sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1585 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1586 ierr = MatCreateSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr); 1587 ierr = MatCopy(submats[0],sub_schurs->sum_S_Ej_inv_all,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1588 } else { 1589 PetscScalar *array; 1590 PetscInt cum; 1591 1592 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all,&array);CHKERRQ(ierr); 1593 cum = 0; 1594 for (i=0;i<sub_schurs->n_subs;i++) { 1595 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1596 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 1597 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1598 if (use_potr) { 1599 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,array+cum,&B_N,&B_ierr)); 1600 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1601 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,array+cum,&B_N,&B_ierr)); 1602 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1603 } else if (use_sytr) { 1604 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1605 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr); 1606 PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_("L",&B_N,array+cum,&B_N,pivots,Bwork,&B_ierr)); 1607 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr); 1608 } else { 1609 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array+cum,&B_N,pivots,&B_ierr)); 1610 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1611 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1612 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1613 } 1614 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1615 cum += subset_size*subset_size; 1616 } 1617 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_tilda_all,&array);CHKERRQ(ierr); 1618 ierr = PetscObjectReference((PetscObject)sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1619 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1620 sub_schurs->sum_S_Ej_inv_all = sub_schurs->sum_S_Ej_all; 1621 } 1622 } 1623 ierr = MatDestroySubMatrices(1,&submats);CHKERRQ(ierr); 1624 #if defined(SUB_SCHURS_DEBUG) 1625 { 1626 PetscViewer viewer; 1627 char filename[256]; 1628 PetscInt cum; 1629 1630 sprintf(filename,"sub_schurs_mats_r%d.m",PetscGlobalRank); 1631 ierr = PetscViewerASCIIOpen(PETSC_COMM_SELF,filename,&viewer);CHKERRQ(ierr); 1632 ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 1633 if (sub_schurs->S_Ej_all) { 1634 ierr = PetscObjectSetName((PetscObject)sub_schurs->S_Ej_all,"SE");CHKERRQ(ierr); 1635 ierr = MatView(sub_schurs->S_Ej_all,viewer);CHKERRQ(ierr); 1636 } 1637 if (sub_schurs->sum_S_Ej_all) { 1638 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_all,"SSE");CHKERRQ(ierr); 1639 ierr = MatView(sub_schurs->sum_S_Ej_all,viewer);CHKERRQ(ierr); 1640 } 1641 if (sub_schurs->sum_S_Ej_inv_all) { 1642 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_inv_all,"SSEm");CHKERRQ(ierr); 1643 ierr = MatView(sub_schurs->sum_S_Ej_inv_all,viewer);CHKERRQ(ierr); 1644 } 1645 if (sub_schurs->sum_S_Ej_tilda_all) { 1646 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_tilda_all,"SSEt");CHKERRQ(ierr); 1647 ierr = MatView(sub_schurs->sum_S_Ej_tilda_all,viewer);CHKERRQ(ierr); 1648 } 1649 for (i=0,cum=0;i<sub_schurs->n_subs;i++) { 1650 IS is; 1651 char name[16]; 1652 1653 sprintf(name,"IE%d",i); 1654 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1655 ierr = ISCreateStride(PETSC_COMM_SELF,subset_size,cum,1,&is);CHKERRQ(ierr); 1656 ierr = PetscObjectSetName((PetscObject)is,name);CHKERRQ(ierr); 1657 ierr = ISView(is,viewer);CHKERRQ(ierr); 1658 ierr = ISDestroy(&is);CHKERRQ(ierr); 1659 cum += subset_size; 1660 } 1661 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 1662 } 1663 #endif 1664 1665 /* free workspace */ 1666 ierr = PetscFree(submats);CHKERRQ(ierr); 1667 ierr = PetscFree2(Bwork,pivots);CHKERRQ(ierr); 1668 ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr); 1669 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 1670 ierr = ISDestroy(&all_subsets_n);CHKERRQ(ierr); 1671 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 1672 PetscFunctionReturn(0); 1673 } 1674 1675 PetscErrorCode PCBDDCSubSchursInit(PCBDDCSubSchurs sub_schurs, const char* prefix, IS is_I, IS is_B, PCBDDCGraph graph, ISLocalToGlobalMapping BtoNmap, PetscBool copycc) 1676 { 1677 IS *faces,*edges,*all_cc,vertices; 1678 PetscInt i,n_faces,n_edges,n_all_cc; 1679 PetscBool is_sorted,ispetsc; 1680 PetscErrorCode ierr; 1681 1682 PetscFunctionBegin; 1683 ierr = ISSorted(is_I,&is_sorted);CHKERRQ(ierr); 1684 if (!is_sorted) SETERRQ(PetscObjectComm((PetscObject)is_I),PETSC_ERR_PLIB,"IS for I dofs should be shorted"); 1685 ierr = ISSorted(is_B,&is_sorted);CHKERRQ(ierr); 1686 if (!is_sorted) SETERRQ(PetscObjectComm((PetscObject)is_B),PETSC_ERR_PLIB,"IS for B dofs should be shorted"); 1687 1688 /* reset any previous data */ 1689 ierr = PCBDDCSubSchursReset(sub_schurs);CHKERRQ(ierr); 1690 1691 /* get index sets for faces and edges (already sorted by global ordering) */ 1692 ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 1693 n_all_cc = n_faces+n_edges; 1694 ierr = PetscBTCreate(n_all_cc,&sub_schurs->is_edge);CHKERRQ(ierr); 1695 ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr); 1696 for (i=0;i<n_faces;i++) { 1697 if (copycc) { 1698 ierr = ISDuplicate(faces[i],&all_cc[i]);CHKERRQ(ierr); 1699 } else { 1700 ierr = PetscObjectReference((PetscObject)faces[i]);CHKERRQ(ierr); 1701 all_cc[i] = faces[i]; 1702 } 1703 } 1704 for (i=0;i<n_edges;i++) { 1705 if (copycc) { 1706 ierr = ISDuplicate(edges[i],&all_cc[n_faces+i]);CHKERRQ(ierr); 1707 } else { 1708 ierr = PetscObjectReference((PetscObject)edges[i]);CHKERRQ(ierr); 1709 all_cc[n_faces+i] = edges[i]; 1710 } 1711 ierr = PetscBTSet(sub_schurs->is_edge,n_faces+i);CHKERRQ(ierr); 1712 } 1713 ierr = PetscObjectReference((PetscObject)vertices);CHKERRQ(ierr); 1714 sub_schurs->is_vertices = vertices; 1715 ierr = PCBDDCGraphRestoreCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 1716 sub_schurs->is_dir = NULL; 1717 ierr = PCBDDCGraphGetDirichletDofsB(graph,&sub_schurs->is_dir);CHKERRQ(ierr); 1718 1719 /* Determine if MatFactor can be used */ 1720 ierr = PetscStrallocpy(prefix,&sub_schurs->prefix);CHKERRQ(ierr); 1721 #if defined(PETSC_HAVE_MUMPS) 1722 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERMUMPS,64);CHKERRQ(ierr); 1723 #elif defined(PETSC_HAVE_MKL_PARDISO) 1724 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERMKL_PARDISO,64);CHKERRQ(ierr); 1725 #else 1726 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERPETSC,64);CHKERRQ(ierr); 1727 #endif 1728 #if defined(PETSC_USE_COMPLEX) 1729 sub_schurs->is_hermitian = PETSC_FALSE; /* Hermitian Cholesky is not supported by PETSc and external packages */ 1730 #else 1731 sub_schurs->is_hermitian = PETSC_TRUE; 1732 #endif 1733 sub_schurs->is_posdef = PETSC_TRUE; 1734 sub_schurs->is_symmetric = PETSC_TRUE; 1735 ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)graph->l2gmap),sub_schurs->prefix,"BDDC sub_schurs options","PC");CHKERRQ(ierr); 1736 ierr = PetscOptionsString("-sub_schurs_mat_solver_type","Specific direct solver to use",NULL,sub_schurs->mat_solver_type,sub_schurs->mat_solver_type,64,NULL);CHKERRQ(ierr); 1737 ierr = PetscOptionsBool("-sub_schurs_symmetric","Symmetric problem",NULL,sub_schurs->is_symmetric,&sub_schurs->is_symmetric,NULL);CHKERRQ(ierr); 1738 ierr = PetscOptionsBool("-sub_schurs_hermitian","Hermitian problem",NULL,sub_schurs->is_hermitian,&sub_schurs->is_hermitian,NULL);CHKERRQ(ierr); 1739 ierr = PetscOptionsBool("-sub_schurs_posdef","Positive definite problem",NULL,sub_schurs->is_posdef,&sub_schurs->is_posdef,NULL);CHKERRQ(ierr); 1740 ierr = PetscOptionsEnd();CHKERRQ(ierr); 1741 ierr = PetscStrcmp(sub_schurs->mat_solver_type,MATSOLVERPETSC,&ispetsc);CHKERRQ(ierr); 1742 sub_schurs->schur_explicit = (PetscBool)!ispetsc; 1743 1744 /* for reals, symmetric and hermitian are synonims */ 1745 #if !defined(PETSC_USE_COMPLEX) 1746 sub_schurs->is_symmetric = (PetscBool)(sub_schurs->is_symmetric && sub_schurs->is_hermitian); 1747 sub_schurs->is_hermitian = sub_schurs->is_symmetric; 1748 #endif 1749 1750 ierr = PetscObjectReference((PetscObject)is_I);CHKERRQ(ierr); 1751 sub_schurs->is_I = is_I; 1752 ierr = PetscObjectReference((PetscObject)is_B);CHKERRQ(ierr); 1753 sub_schurs->is_B = is_B; 1754 ierr = PetscObjectReference((PetscObject)graph->l2gmap);CHKERRQ(ierr); 1755 sub_schurs->l2gmap = graph->l2gmap; 1756 ierr = PetscObjectReference((PetscObject)BtoNmap);CHKERRQ(ierr); 1757 sub_schurs->BtoNmap = BtoNmap; 1758 sub_schurs->n_subs = n_all_cc; 1759 sub_schurs->is_subs = all_cc; 1760 sub_schurs->S_Ej_all = NULL; 1761 sub_schurs->sum_S_Ej_all = NULL; 1762 sub_schurs->sum_S_Ej_inv_all = NULL; 1763 sub_schurs->sum_S_Ej_tilda_all = NULL; 1764 sub_schurs->is_Ej_all = NULL; 1765 PetscFunctionReturn(0); 1766 } 1767 1768 PetscErrorCode PCBDDCSubSchursCreate(PCBDDCSubSchurs *sub_schurs) 1769 { 1770 PCBDDCSubSchurs schurs_ctx; 1771 PetscErrorCode ierr; 1772 1773 PetscFunctionBegin; 1774 ierr = PetscNew(&schurs_ctx);CHKERRQ(ierr); 1775 schurs_ctx->n_subs = 0; 1776 *sub_schurs = schurs_ctx; 1777 PetscFunctionReturn(0); 1778 } 1779 1780 PetscErrorCode PCBDDCSubSchursReset(PCBDDCSubSchurs sub_schurs) 1781 { 1782 PetscInt i; 1783 PetscErrorCode ierr; 1784 1785 PetscFunctionBegin; 1786 if (!sub_schurs) PetscFunctionReturn(0); 1787 ierr = PetscFree(sub_schurs->prefix);CHKERRQ(ierr); 1788 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 1789 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 1790 ierr = ISDestroy(&sub_schurs->is_I);CHKERRQ(ierr); 1791 ierr = ISDestroy(&sub_schurs->is_B);CHKERRQ(ierr); 1792 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->l2gmap);CHKERRQ(ierr); 1793 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->BtoNmap);CHKERRQ(ierr); 1794 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 1795 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1796 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1797 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1798 ierr = ISDestroy(&sub_schurs->is_Ej_all);CHKERRQ(ierr); 1799 ierr = ISDestroy(&sub_schurs->is_vertices);CHKERRQ(ierr); 1800 ierr = ISDestroy(&sub_schurs->is_dir);CHKERRQ(ierr); 1801 ierr = PetscBTDestroy(&sub_schurs->is_edge);CHKERRQ(ierr); 1802 for (i=0;i<sub_schurs->n_subs;i++) { 1803 ierr = ISDestroy(&sub_schurs->is_subs[i]);CHKERRQ(ierr); 1804 } 1805 if (sub_schurs->n_subs) { 1806 ierr = PetscFree(sub_schurs->is_subs);CHKERRQ(ierr); 1807 } 1808 if (sub_schurs->reuse_solver) { 1809 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 1810 } 1811 ierr = PetscFree(sub_schurs->reuse_solver);CHKERRQ(ierr); 1812 if (sub_schurs->change) { 1813 for (i=0;i<sub_schurs->n_subs;i++) { 1814 ierr = KSPDestroy(&sub_schurs->change[i]);CHKERRQ(ierr); 1815 ierr = ISDestroy(&sub_schurs->change_primal_sub[i]);CHKERRQ(ierr); 1816 } 1817 } 1818 ierr = PetscFree(sub_schurs->change);CHKERRQ(ierr); 1819 ierr = PetscFree(sub_schurs->change_primal_sub);CHKERRQ(ierr); 1820 sub_schurs->n_subs = 0; 1821 PetscFunctionReturn(0); 1822 } 1823 1824 PetscErrorCode PCBDDCSubSchursDestroy(PCBDDCSubSchurs* sub_schurs) 1825 { 1826 PetscErrorCode ierr; 1827 1828 PetscFunctionBegin; 1829 ierr = PCBDDCSubSchursReset(*sub_schurs);CHKERRQ(ierr); 1830 ierr = PetscFree(*sub_schurs);CHKERRQ(ierr); 1831 PetscFunctionReturn(0); 1832 } 1833 1834 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt* queue_tip,PetscInt n_prev,PetscBT touched,PetscInt* xadj,PetscInt* adjncy,PetscInt* n_added) 1835 { 1836 PetscInt i,j,n; 1837 PetscErrorCode ierr; 1838 1839 PetscFunctionBegin; 1840 n = 0; 1841 for (i=-n_prev;i<0;i++) { 1842 PetscInt start_dof = queue_tip[i]; 1843 for (j=xadj[start_dof];j<xadj[start_dof+1];j++) { 1844 PetscInt dof = adjncy[j]; 1845 if (!PetscBTLookup(touched,dof)) { 1846 ierr = PetscBTSet(touched,dof);CHKERRQ(ierr); 1847 queue_tip[n] = dof; 1848 n++; 1849 } 1850 } 1851 } 1852 *n_added = n; 1853 PetscFunctionReturn(0); 1854 } 1855