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 PCBDDCReuseSolvers_View(PC pc, PetscViewer viewer) 232 { 233 PCBDDCReuseSolvers ctx; 234 PetscBool iascii; 235 PetscErrorCode ierr; 236 237 PetscFunctionBegin; 238 ierr = PCShellGetContext(pc,(void **)&ctx);CHKERRQ(ierr); 239 ierr = PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii);CHKERRQ(ierr); 240 if (iascii) { 241 ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO);CHKERRQ(ierr); 242 } 243 ierr = MatView(ctx->F,viewer);CHKERRQ(ierr); 244 if (iascii) { 245 ierr = PetscViewerPopFormat(viewer);CHKERRQ(ierr); 246 } 247 PetscFunctionReturn(0); 248 } 249 250 static PetscErrorCode PCBDDCReuseSolversReset(PCBDDCReuseSolvers reuse) 251 { 252 PetscInt i; 253 PetscErrorCode ierr; 254 255 PetscFunctionBegin; 256 ierr = MatDestroy(&reuse->F);CHKERRQ(ierr); 257 ierr = VecDestroy(&reuse->sol);CHKERRQ(ierr); 258 ierr = VecDestroy(&reuse->rhs);CHKERRQ(ierr); 259 ierr = PCDestroy(&reuse->interior_solver);CHKERRQ(ierr); 260 ierr = PCDestroy(&reuse->correction_solver);CHKERRQ(ierr); 261 ierr = ISDestroy(&reuse->is_R);CHKERRQ(ierr); 262 ierr = ISDestroy(&reuse->is_B);CHKERRQ(ierr); 263 ierr = VecScatterDestroy(&reuse->correction_scatter_B);CHKERRQ(ierr); 264 ierr = VecDestroy(&reuse->sol_B);CHKERRQ(ierr); 265 ierr = VecDestroy(&reuse->rhs_B);CHKERRQ(ierr); 266 for (i=0;i<reuse->benign_n;i++) { 267 ierr = ISDestroy(&reuse->benign_zerodiag_subs[i]);CHKERRQ(ierr); 268 } 269 ierr = PetscFree(reuse->benign_zerodiag_subs);CHKERRQ(ierr); 270 ierr = PetscFree(reuse->benign_save_vals);CHKERRQ(ierr); 271 ierr = MatDestroy(&reuse->benign_csAIB);CHKERRQ(ierr); 272 ierr = MatDestroy(&reuse->benign_AIIm1ones);CHKERRQ(ierr); 273 ierr = VecDestroy(&reuse->benign_corr_work);CHKERRQ(ierr); 274 ierr = VecDestroy(&reuse->benign_dummy_schur_vec);CHKERRQ(ierr); 275 PetscFunctionReturn(0); 276 } 277 278 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat M, PetscBool issym, MatReuse reuse, Mat *S) 279 { 280 Mat B, C, D, Bd, Cd, AinvBd; 281 KSP ksp; 282 PC pc; 283 PetscBool isLU, isILU, isCHOL, Bdense, Cdense; 284 PetscReal fill = 2.0; 285 PetscInt n_I; 286 PetscMPIInt size; 287 PetscErrorCode ierr; 288 289 PetscFunctionBegin; 290 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)M),&size);CHKERRQ(ierr); 291 if (size != 1) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not for parallel matrices"); 292 if (reuse == MAT_REUSE_MATRIX) { 293 PetscBool Sdense; 294 295 ierr = PetscObjectTypeCompare((PetscObject)*S, MATSEQDENSE, &Sdense);CHKERRQ(ierr); 296 if (!Sdense) SETERRQ(PetscObjectComm((PetscObject)M),PETSC_ERR_SUP,"S should dense"); 297 } 298 ierr = MatSchurComplementGetSubMatrices(M, NULL, NULL, &B, &C, &D);CHKERRQ(ierr); 299 ierr = MatSchurComplementGetKSP(M, &ksp);CHKERRQ(ierr); 300 ierr = KSPGetPC(ksp, &pc);CHKERRQ(ierr); 301 ierr = PetscObjectTypeCompare((PetscObject) pc, PCLU, &isLU);CHKERRQ(ierr); 302 ierr = PetscObjectTypeCompare((PetscObject) pc, PCILU, &isILU);CHKERRQ(ierr); 303 ierr = PetscObjectTypeCompare((PetscObject) pc, PCCHOLESKY, &isCHOL);CHKERRQ(ierr); 304 ierr = PetscObjectTypeCompare((PetscObject) B, MATSEQDENSE, &Bdense);CHKERRQ(ierr); 305 ierr = PetscObjectTypeCompare((PetscObject) C, MATSEQDENSE, &Cdense);CHKERRQ(ierr); 306 ierr = MatGetSize(B,&n_I,NULL);CHKERRQ(ierr); 307 if (n_I) { 308 if (!Bdense) { 309 ierr = MatConvert(B, MATSEQDENSE, MAT_INITIAL_MATRIX, &Bd);CHKERRQ(ierr); 310 } else { 311 Bd = B; 312 } 313 314 if (isLU || isILU || isCHOL) { 315 Mat fact; 316 ierr = KSPSetUp(ksp);CHKERRQ(ierr); 317 ierr = PCFactorGetMatrix(pc, &fact);CHKERRQ(ierr); 318 ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr); 319 ierr = MatMatSolve(fact, Bd, AinvBd);CHKERRQ(ierr); 320 } else { 321 PetscBool ex = PETSC_TRUE; 322 323 if (ex) { 324 Mat Ainvd; 325 326 ierr = PCComputeExplicitOperator(pc, &Ainvd);CHKERRQ(ierr); 327 ierr = MatMatMult(Ainvd, Bd, MAT_INITIAL_MATRIX, fill, &AinvBd);CHKERRQ(ierr); 328 ierr = MatDestroy(&Ainvd);CHKERRQ(ierr); 329 } else { 330 Vec sol,rhs; 331 PetscScalar *arrayrhs,*arraysol; 332 PetscInt i,nrhs,n; 333 334 ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr); 335 ierr = MatGetSize(Bd,&n,&nrhs);CHKERRQ(ierr); 336 ierr = MatDenseGetArray(Bd,&arrayrhs);CHKERRQ(ierr); 337 ierr = MatDenseGetArray(AinvBd,&arraysol);CHKERRQ(ierr); 338 ierr = KSPGetSolution(ksp,&sol);CHKERRQ(ierr); 339 ierr = KSPGetRhs(ksp,&rhs);CHKERRQ(ierr); 340 for (i=0;i<nrhs;i++) { 341 ierr = VecPlaceArray(rhs,arrayrhs+i*n);CHKERRQ(ierr); 342 ierr = VecPlaceArray(sol,arraysol+i*n);CHKERRQ(ierr); 343 ierr = KSPSolve(ksp,rhs,sol);CHKERRQ(ierr); 344 ierr = VecResetArray(rhs);CHKERRQ(ierr); 345 ierr = VecResetArray(sol);CHKERRQ(ierr); 346 } 347 ierr = MatDenseRestoreArray(Bd,&arrayrhs);CHKERRQ(ierr); 348 ierr = MatDenseRestoreArray(AinvBd,&arrayrhs);CHKERRQ(ierr); 349 } 350 } 351 if (!Bdense & !issym) { 352 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 353 } 354 355 if (!issym) { 356 if (!Cdense) { 357 ierr = MatConvert(C, MATSEQDENSE, MAT_INITIAL_MATRIX, &Cd);CHKERRQ(ierr); 358 } else { 359 Cd = C; 360 } 361 ierr = MatMatMult(Cd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 362 if (!Cdense) { 363 ierr = MatDestroy(&Cd);CHKERRQ(ierr); 364 } 365 } else { 366 ierr = MatTransposeMatMult(Bd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 367 if (!Bdense) { 368 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 369 } 370 } 371 ierr = MatDestroy(&AinvBd);CHKERRQ(ierr); 372 } 373 374 if (D) { 375 Mat Dd; 376 PetscBool Ddense; 377 378 ierr = PetscObjectTypeCompare((PetscObject)D,MATSEQDENSE,&Ddense);CHKERRQ(ierr); 379 if (!Ddense) { 380 ierr = MatConvert(D, MATSEQDENSE, MAT_INITIAL_MATRIX, &Dd);CHKERRQ(ierr); 381 } else { 382 Dd = D; 383 } 384 if (n_I) { 385 ierr = MatAYPX(*S,-1.0,Dd,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 386 } else { 387 if (reuse == MAT_INITIAL_MATRIX) { 388 ierr = MatDuplicate(Dd,MAT_COPY_VALUES,S);CHKERRQ(ierr); 389 } else { 390 ierr = MatCopy(Dd,*S,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 391 } 392 } 393 if (!Ddense) { 394 ierr = MatDestroy(&Dd);CHKERRQ(ierr); 395 } 396 } else { 397 ierr = MatScale(*S,-1.0);CHKERRQ(ierr); 398 } 399 PetscFunctionReturn(0); 400 } 401 402 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) 403 { 404 Mat F,A_II,A_IB,A_BI,A_BB,AE_II; 405 Mat S_all; 406 Mat global_schur_subsets,work_mat,*submats; 407 ISLocalToGlobalMapping l2gmap_subsets; 408 IS is_I,is_I_layer; 409 IS all_subsets,all_subsets_mult,all_subsets_n; 410 PetscInt *nnz,*all_local_idx_N; 411 PetscInt *auxnum1,*auxnum2; 412 PetscInt i,subset_size,max_subset_size; 413 PetscInt n_B,extra,local_size,global_size; 414 PetscBLASInt B_N,B_ierr,B_lwork,*pivots; 415 PetscScalar *Bwork; 416 MPI_Comm comm_n; 417 PetscBool deluxe = PETSC_TRUE; 418 PetscBool use_potr = PETSC_FALSE, use_sytr = PETSC_FALSE; 419 PetscBool print_schurs = PETSC_FALSE; 420 PetscErrorCode ierr; 421 422 PetscFunctionBegin; 423 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 424 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 425 /* convert matrix if needed */ 426 if (Ain) { 427 PetscBool isseqaij; 428 ierr = PetscObjectTypeCompare((PetscObject)Ain,MATSEQAIJ,&isseqaij);CHKERRQ(ierr); 429 if (isseqaij) { 430 ierr = PetscObjectReference((PetscObject)Ain);CHKERRQ(ierr); 431 sub_schurs->A = Ain; 432 } else { 433 ierr = MatConvert(Ain,MATSEQAIJ,MAT_INITIAL_MATRIX,&sub_schurs->A);CHKERRQ(ierr); 434 } 435 } 436 437 ierr = PetscObjectReference((PetscObject)Sin);CHKERRQ(ierr); 438 sub_schurs->S = Sin; 439 if (sub_schurs->schur_explicit) { 440 sub_schurs->schur_explicit = (PetscBool)(!!sub_schurs->A); 441 } 442 443 /* preliminary checks */ 444 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"); 445 446 if (benign_trick) sub_schurs->is_posdef = PETSC_FALSE; 447 448 /* debug prints */ 449 if (sub_schurs->debug) { 450 PetscMPIInt size,rank; 451 PetscInt nr,*print_schurs_ranks; 452 PetscBool flg; 453 454 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&size);CHKERRQ(ierr); 455 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&rank);CHKERRQ(ierr); 456 nr = size; 457 ierr = PetscMalloc1(nr,&print_schurs_ranks);CHKERRQ(ierr); 458 ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)sub_schurs->l2gmap),sub_schurs->prefix,"BDDC sub_schurs options","PC");CHKERRQ(ierr); 459 ierr = PetscOptionsIntArray("-sub_schurs_debug_ranks","Ranks to debug (all if the option is not used)",NULL,print_schurs_ranks,&nr,&flg);CHKERRQ(ierr); 460 if (!flg) print_schurs = PETSC_TRUE; 461 else { 462 for (i=0;i<nr;i++) if (print_schurs_ranks[i] == (PetscInt)rank) { print_schurs = PETSC_TRUE; break; } 463 } 464 ierr = PetscOptionsEnd();CHKERRQ(ierr); 465 ierr = PetscFree(print_schurs_ranks);CHKERRQ(ierr); 466 } 467 468 469 /* restrict work on active processes */ 470 if (sub_schurs->restrict_comm) { 471 PetscSubcomm subcomm; 472 PetscMPIInt color,rank; 473 474 color = 0; 475 if (!sub_schurs->n_subs) color = 1; /* this can happen if we are in a multilevel case or if the subdomain is disconnected */ 476 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&rank);CHKERRQ(ierr); 477 ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&subcomm);CHKERRQ(ierr); 478 ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr); 479 ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr); 480 ierr = PetscCommDuplicate(PetscSubcommChild(subcomm),&comm_n,NULL);CHKERRQ(ierr); 481 ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr); 482 if (!sub_schurs->n_subs) { 483 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 484 PetscFunctionReturn(0); 485 } 486 } else { 487 ierr = PetscCommDuplicate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&comm_n,NULL);CHKERRQ(ierr); 488 } 489 490 /* get Schur complement matrices */ 491 if (!sub_schurs->schur_explicit) { 492 Mat tA_IB,tA_BI,tA_BB; 493 PetscBool isseqsbaij; 494 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,&tA_IB,&tA_BI,&tA_BB);CHKERRQ(ierr); 495 ierr = PetscObjectTypeCompare((PetscObject)tA_BB,MATSEQSBAIJ,&isseqsbaij);CHKERRQ(ierr); 496 if (isseqsbaij) { 497 ierr = MatConvert(tA_BB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BB);CHKERRQ(ierr); 498 ierr = MatConvert(tA_IB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr); 499 ierr = MatConvert(tA_BI,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr); 500 } else { 501 ierr = PetscObjectReference((PetscObject)tA_BB);CHKERRQ(ierr); 502 A_BB = tA_BB; 503 ierr = PetscObjectReference((PetscObject)tA_IB);CHKERRQ(ierr); 504 A_IB = tA_IB; 505 ierr = PetscObjectReference((PetscObject)tA_BI);CHKERRQ(ierr); 506 A_BI = tA_BI; 507 } 508 } else { 509 A_II = NULL; 510 A_IB = NULL; 511 A_BI = NULL; 512 A_BB = NULL; 513 } 514 S_all = NULL; 515 516 /* determine interior problems */ 517 ierr = ISGetLocalSize(sub_schurs->is_I,&i);CHKERRQ(ierr); 518 if (nlayers >= 0 && i) { /* Interior problems can be different from the original one */ 519 PetscBT touched; 520 const PetscInt* idx_B; 521 PetscInt n_I,n_B,n_local_dofs,n_prev_added,j,layer,*local_numbering; 522 523 if (!xadj) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Cannot request layering without adjacency"); 524 /* get sizes */ 525 ierr = ISGetLocalSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 526 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 527 528 ierr = PetscMalloc1(n_I+n_B,&local_numbering);CHKERRQ(ierr); 529 ierr = PetscBTCreate(n_I+n_B,&touched);CHKERRQ(ierr); 530 ierr = PetscBTMemzero(n_I+n_B,touched);CHKERRQ(ierr); 531 532 /* all boundary dofs must be skipped when adding layers */ 533 ierr = ISGetIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 534 for (j=0;j<n_B;j++) { 535 ierr = PetscBTSet(touched,idx_B[j]);CHKERRQ(ierr); 536 } 537 ierr = PetscMemcpy(local_numbering,idx_B,n_B*sizeof(PetscInt));CHKERRQ(ierr); 538 ierr = ISRestoreIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 539 540 /* add prescribed number of layers of dofs */ 541 n_local_dofs = n_B; 542 n_prev_added = n_B; 543 for (layer=0;layer<nlayers;layer++) { 544 PetscInt n_added; 545 if (n_local_dofs == n_I+n_B) break; 546 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); 547 ierr = PCBDDCAdjGetNextLayer_Private(local_numbering+n_local_dofs,n_prev_added,touched,xadj,adjncy,&n_added);CHKERRQ(ierr); 548 n_prev_added = n_added; 549 n_local_dofs += n_added; 550 if (!n_added) break; 551 } 552 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 553 554 /* IS for I layer dofs in original numbering */ 555 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); 556 ierr = PetscFree(local_numbering);CHKERRQ(ierr); 557 ierr = ISSort(is_I_layer);CHKERRQ(ierr); 558 /* IS for I layer dofs in I numbering */ 559 if (!sub_schurs->schur_explicit) { 560 ISLocalToGlobalMapping ItoNmap; 561 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_I,&ItoNmap);CHKERRQ(ierr); 562 ierr = ISGlobalToLocalMappingApplyIS(ItoNmap,IS_GTOLM_DROP,is_I_layer,&is_I);CHKERRQ(ierr); 563 ierr = ISLocalToGlobalMappingDestroy(&ItoNmap);CHKERRQ(ierr); 564 565 /* II block */ 566 ierr = MatCreateSubMatrix(A_II,is_I,is_I,MAT_INITIAL_MATRIX,&AE_II);CHKERRQ(ierr); 567 } 568 } else { 569 PetscInt n_I; 570 571 /* IS for I dofs in original numbering */ 572 ierr = PetscObjectReference((PetscObject)sub_schurs->is_I);CHKERRQ(ierr); 573 is_I_layer = sub_schurs->is_I; 574 575 /* IS for I dofs in I numbering (strided 1) */ 576 if (!sub_schurs->schur_explicit) { 577 ierr = ISGetSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 578 ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),n_I,0,1,&is_I);CHKERRQ(ierr); 579 580 /* II block is the same */ 581 ierr = PetscObjectReference((PetscObject)A_II);CHKERRQ(ierr); 582 AE_II = A_II; 583 } 584 } 585 586 /* Get info on subset sizes and sum of all subsets sizes */ 587 max_subset_size = 0; 588 local_size = 0; 589 for (i=0;i<sub_schurs->n_subs;i++) { 590 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 591 max_subset_size = PetscMax(subset_size,max_subset_size); 592 local_size += subset_size; 593 } 594 595 /* Work arrays for local indices */ 596 extra = 0; 597 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 598 if (sub_schurs->schur_explicit && is_I_layer) { 599 ierr = ISGetLocalSize(is_I_layer,&extra);CHKERRQ(ierr); 600 } 601 ierr = PetscMalloc1(n_B+extra,&all_local_idx_N);CHKERRQ(ierr); 602 if (extra) { 603 const PetscInt *idxs; 604 ierr = ISGetIndices(is_I_layer,&idxs);CHKERRQ(ierr); 605 ierr = PetscMemcpy(all_local_idx_N,idxs,extra*sizeof(PetscInt));CHKERRQ(ierr); 606 ierr = ISRestoreIndices(is_I_layer,&idxs);CHKERRQ(ierr); 607 } 608 ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr); 609 ierr = PetscMalloc1(sub_schurs->n_subs,&auxnum1);CHKERRQ(ierr); 610 ierr = PetscMalloc1(sub_schurs->n_subs,&auxnum2);CHKERRQ(ierr); 611 612 /* Get local indices in local numbering */ 613 local_size = 0; 614 for (i=0;i<sub_schurs->n_subs;i++) { 615 PetscInt j; 616 const PetscInt *idxs; 617 618 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 619 ierr = ISGetIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 620 /* start (smallest in global ordering) and multiplicity */ 621 auxnum1[i] = idxs[0]; 622 auxnum2[i] = subset_size; 623 /* subset indices in local numbering */ 624 ierr = PetscMemcpy(all_local_idx_N+local_size+extra,idxs,subset_size*sizeof(PetscInt));CHKERRQ(ierr); 625 ierr = ISRestoreIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 626 for (j=0;j<subset_size;j++) nnz[local_size+j] = subset_size; 627 local_size += subset_size; 628 } 629 630 /* allocate extra workspace needed only for GETRI or SYTRF */ 631 use_potr = use_sytr = PETSC_FALSE; 632 if (benign_trick || (sub_schurs->is_hermitian && sub_schurs->is_posdef)) { 633 use_potr = PETSC_TRUE; 634 } else if (sub_schurs->is_symmetric) { 635 use_sytr = PETSC_TRUE; 636 } 637 if (local_size && !use_potr) { 638 PetscScalar lwork,dummyscalar = 0.; 639 PetscBLASInt dummyint = 0; 640 641 B_lwork = -1; 642 ierr = PetscBLASIntCast(local_size,&B_N);CHKERRQ(ierr); 643 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 644 if (use_sytr) { 645 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,&dummyscalar,&B_N,&dummyint,&lwork,&B_lwork,&B_ierr)); 646 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYTRF Lapack routine %d",(int)B_ierr); 647 } else { 648 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,&dummyscalar,&B_N,&dummyint,&lwork,&B_lwork,&B_ierr)); 649 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr); 650 } 651 ierr = PetscFPTrapPop();CHKERRQ(ierr); 652 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&B_lwork);CHKERRQ(ierr); 653 ierr = PetscMalloc2(B_lwork,&Bwork,B_N,&pivots);CHKERRQ(ierr); 654 } else { 655 Bwork = NULL; 656 pivots = NULL; 657 } 658 659 /* prepare parallel matrices for summing up properly schurs on subsets */ 660 ierr = ISCreateGeneral(comm_n,sub_schurs->n_subs,auxnum1,PETSC_OWN_POINTER,&all_subsets_n);CHKERRQ(ierr); 661 ierr = ISLocalToGlobalMappingApplyIS(sub_schurs->l2gmap,all_subsets_n,&all_subsets);CHKERRQ(ierr); 662 ierr = ISDestroy(&all_subsets_n);CHKERRQ(ierr); 663 ierr = ISCreateGeneral(comm_n,sub_schurs->n_subs,auxnum2,PETSC_OWN_POINTER,&all_subsets_mult);CHKERRQ(ierr); 664 ierr = ISRenumber(all_subsets,all_subsets_mult,&global_size,&all_subsets_n);CHKERRQ(ierr); 665 ierr = ISDestroy(&all_subsets);CHKERRQ(ierr); 666 ierr = ISDestroy(&all_subsets_mult);CHKERRQ(ierr); 667 ierr = ISGetLocalSize(all_subsets_n,&i);CHKERRQ(ierr); 668 if (i != local_size) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Invalid size of new subset! %D != %D",i,local_size); 669 ierr = ISLocalToGlobalMappingCreateIS(all_subsets_n,&l2gmap_subsets);CHKERRQ(ierr); 670 ierr = MatCreateIS(comm_n,1,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size,l2gmap_subsets,NULL,&work_mat);CHKERRQ(ierr); 671 ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subsets);CHKERRQ(ierr); 672 ierr = MatCreate(PetscObjectComm((PetscObject)work_mat),&global_schur_subsets);CHKERRQ(ierr); 673 ierr = MatSetSizes(global_schur_subsets,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size);CHKERRQ(ierr); 674 ierr = MatSetType(global_schur_subsets,MATMPIAIJ);CHKERRQ(ierr); 675 676 /* subset indices in local boundary numbering */ 677 if (!sub_schurs->is_Ej_all) { 678 PetscInt *all_local_idx_B; 679 680 ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr); 681 ierr = ISGlobalToLocalMappingApply(sub_schurs->BtoNmap,IS_GTOLM_DROP,local_size,all_local_idx_N+extra,&subset_size,all_local_idx_B);CHKERRQ(ierr); 682 if (subset_size != local_size) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in sub_schurs serial (BtoNmap)! %D != %D",subset_size,local_size); 683 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&sub_schurs->is_Ej_all);CHKERRQ(ierr); 684 } 685 686 if (change) { 687 ISLocalToGlobalMapping BtoS; 688 IS change_primal_B; 689 IS change_primal_all; 690 691 if (sub_schurs->change_primal_sub) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 692 if (sub_schurs->change) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 693 ierr = PetscMalloc1(sub_schurs->n_subs,&sub_schurs->change_primal_sub);CHKERRQ(ierr); 694 for (i=0;i<sub_schurs->n_subs;i++) { 695 ISLocalToGlobalMapping NtoS; 696 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_subs[i],&NtoS);CHKERRQ(ierr); 697 ierr = ISGlobalToLocalMappingApplyIS(NtoS,IS_GTOLM_DROP,change_primal,&sub_schurs->change_primal_sub[i]);CHKERRQ(ierr); 698 ierr = ISLocalToGlobalMappingDestroy(&NtoS);CHKERRQ(ierr); 699 } 700 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,change_primal,&change_primal_B);CHKERRQ(ierr); 701 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_Ej_all,&BtoS);CHKERRQ(ierr); 702 ierr = ISGlobalToLocalMappingApplyIS(BtoS,IS_GTOLM_DROP,change_primal_B,&change_primal_all);CHKERRQ(ierr); 703 ierr = ISLocalToGlobalMappingDestroy(&BtoS);CHKERRQ(ierr); 704 ierr = ISDestroy(&change_primal_B);CHKERRQ(ierr); 705 ierr = PetscMalloc1(sub_schurs->n_subs,&sub_schurs->change);CHKERRQ(ierr); 706 for (i=0;i<sub_schurs->n_subs;i++) { 707 Mat change_sub; 708 709 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 710 ierr = KSPCreate(PETSC_COMM_SELF,&sub_schurs->change[i]);CHKERRQ(ierr); 711 ierr = KSPSetType(sub_schurs->change[i],KSPPREONLY);CHKERRQ(ierr); 712 if (!sub_schurs->change_with_qr) { 713 ierr = MatCreateSubMatrix(change,sub_schurs->is_subs[i],sub_schurs->is_subs[i],MAT_INITIAL_MATRIX,&change_sub);CHKERRQ(ierr); 714 } else { 715 Mat change_subt; 716 ierr = MatCreateSubMatrix(change,sub_schurs->is_subs[i],sub_schurs->is_subs[i],MAT_INITIAL_MATRIX,&change_subt);CHKERRQ(ierr); 717 ierr = MatConvert(change_subt,MATSEQDENSE,MAT_INITIAL_MATRIX,&change_sub);CHKERRQ(ierr); 718 ierr = MatDestroy(&change_subt);CHKERRQ(ierr); 719 } 720 ierr = KSPSetOperators(sub_schurs->change[i],change_sub,change_sub);CHKERRQ(ierr); 721 ierr = MatDestroy(&change_sub);CHKERRQ(ierr); 722 ierr = KSPSetOptionsPrefix(sub_schurs->change[i],sub_schurs->prefix);CHKERRQ(ierr); 723 ierr = KSPAppendOptionsPrefix(sub_schurs->change[i],"sub_schurs_change_");CHKERRQ(ierr); 724 } 725 ierr = ISDestroy(&change_primal_all);CHKERRQ(ierr); 726 } 727 728 /* Local matrix of all local Schur on subsets (transposed) */ 729 if (!sub_schurs->S_Ej_all) { 730 ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->S_Ej_all);CHKERRQ(ierr); 731 ierr = MatSetSizes(sub_schurs->S_Ej_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 732 ierr = MatSetType(sub_schurs->S_Ej_all,MATAIJ);CHKERRQ(ierr); 733 ierr = MatSeqAIJSetPreallocation(sub_schurs->S_Ej_all,0,nnz);CHKERRQ(ierr); 734 } 735 736 /* Compute Schur complements explicitly */ 737 F = NULL; 738 if (!sub_schurs->schur_explicit) { 739 /* this code branch is used when MatFactor with Schur complement support is not present or when explicitly requested; 740 it is not efficient, unless the economic version of the scaling is used */ 741 Mat S_Ej_expl; 742 PetscScalar *work; 743 PetscInt j,*dummy_idx; 744 PetscBool Sdense; 745 746 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 747 local_size = 0; 748 for (i=0;i<sub_schurs->n_subs;i++) { 749 IS is_subset_B; 750 Mat AE_EE,AE_IE,AE_EI,S_Ej; 751 752 /* subsets in original and boundary numbering */ 753 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_subs[i],&is_subset_B);CHKERRQ(ierr); 754 /* EE block */ 755 ierr = MatCreateSubMatrix(A_BB,is_subset_B,is_subset_B,MAT_INITIAL_MATRIX,&AE_EE);CHKERRQ(ierr); 756 /* IE block */ 757 ierr = MatCreateSubMatrix(A_IB,is_I,is_subset_B,MAT_INITIAL_MATRIX,&AE_IE);CHKERRQ(ierr); 758 /* EI block */ 759 if (sub_schurs->is_symmetric) { 760 ierr = MatCreateTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 761 } else if (sub_schurs->is_hermitian) { 762 ierr = MatCreateHermitianTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 763 } else { 764 ierr = MatCreateSubMatrix(A_BI,is_subset_B,is_I,MAT_INITIAL_MATRIX,&AE_EI);CHKERRQ(ierr); 765 } 766 ierr = ISDestroy(&is_subset_B);CHKERRQ(ierr); 767 ierr = MatCreateSchurComplement(AE_II,AE_II,AE_IE,AE_EI,AE_EE,&S_Ej);CHKERRQ(ierr); 768 ierr = MatDestroy(&AE_EE);CHKERRQ(ierr); 769 ierr = MatDestroy(&AE_IE);CHKERRQ(ierr); 770 ierr = MatDestroy(&AE_EI);CHKERRQ(ierr); 771 if (AE_II == A_II) { /* we can reuse the same ksp */ 772 KSP ksp; 773 ierr = MatSchurComplementGetKSP(sub_schurs->S,&ksp);CHKERRQ(ierr); 774 ierr = MatSchurComplementSetKSP(S_Ej,ksp);CHKERRQ(ierr); 775 } else { /* build new ksp object which inherits ksp and pc types from the original one */ 776 KSP origksp,schurksp; 777 PC origpc,schurpc; 778 KSPType ksp_type; 779 PetscInt n_internal; 780 PetscBool ispcnone; 781 782 ierr = MatSchurComplementGetKSP(sub_schurs->S,&origksp);CHKERRQ(ierr); 783 ierr = MatSchurComplementGetKSP(S_Ej,&schurksp);CHKERRQ(ierr); 784 ierr = KSPGetType(origksp,&ksp_type);CHKERRQ(ierr); 785 ierr = KSPSetType(schurksp,ksp_type);CHKERRQ(ierr); 786 ierr = KSPGetPC(schurksp,&schurpc);CHKERRQ(ierr); 787 ierr = KSPGetPC(origksp,&origpc);CHKERRQ(ierr); 788 ierr = PetscObjectTypeCompare((PetscObject)origpc,PCNONE,&ispcnone);CHKERRQ(ierr); 789 if (!ispcnone) { 790 PCType pc_type; 791 ierr = PCGetType(origpc,&pc_type);CHKERRQ(ierr); 792 ierr = PCSetType(schurpc,pc_type);CHKERRQ(ierr); 793 } else { 794 ierr = PCSetType(schurpc,PCLU);CHKERRQ(ierr); 795 } 796 ierr = ISGetSize(is_I,&n_internal);CHKERRQ(ierr); 797 if (n_internal) { /* UMFPACK gives error with 0 sized problems */ 798 MatSolverType solver = NULL; 799 ierr = PCFactorGetMatSolverType(origpc,(MatSolverType*)&solver);CHKERRQ(ierr); 800 if (solver) { 801 ierr = PCFactorSetMatSolverType(schurpc,solver);CHKERRQ(ierr); 802 } 803 } 804 ierr = KSPSetUp(schurksp);CHKERRQ(ierr); 805 } 806 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 807 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej_expl);CHKERRQ(ierr); 808 ierr = PCBDDCComputeExplicitSchur(S_Ej,sub_schurs->is_symmetric,MAT_REUSE_MATRIX,&S_Ej_expl);CHKERRQ(ierr); 809 ierr = PetscObjectTypeCompare((PetscObject)S_Ej_expl,MATSEQDENSE,&Sdense);CHKERRQ(ierr); 810 if (Sdense) { 811 for (j=0;j<subset_size;j++) { 812 dummy_idx[j]=local_size+j; 813 } 814 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 815 } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet implemented for sparse matrices"); 816 ierr = MatDestroy(&S_Ej);CHKERRQ(ierr); 817 ierr = MatDestroy(&S_Ej_expl);CHKERRQ(ierr); 818 local_size += subset_size; 819 } 820 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 821 /* free */ 822 ierr = ISDestroy(&is_I);CHKERRQ(ierr); 823 ierr = MatDestroy(&AE_II);CHKERRQ(ierr); 824 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 825 } else { 826 Mat A,cs_AIB_mat = NULL,benign_AIIm1_ones_mat = NULL; 827 Vec Dall = NULL; 828 IS is_A_all,*is_p_r = NULL; 829 PetscScalar *work,*S_data,*schur_factor,infty = PETSC_MAX_REAL; 830 PetscInt n,n_I,*dummy_idx,size_schur,size_active_schur,cum,cum2; 831 PetscBool economic,solver_S,S_lower_triangular = PETSC_FALSE; 832 PetscBool schur_has_vertices,factor_workaround; 833 PetscBool use_cholesky; 834 835 /* get sizes */ 836 n_I = 0; 837 if (is_I_layer) { 838 ierr = ISGetLocalSize(is_I_layer,&n_I);CHKERRQ(ierr); 839 } 840 economic = PETSC_FALSE; 841 ierr = ISGetLocalSize(sub_schurs->is_I,&cum);CHKERRQ(ierr); 842 if (cum != n_I) economic = PETSC_TRUE; 843 ierr = MatGetLocalSize(sub_schurs->A,&n,NULL);CHKERRQ(ierr); 844 size_active_schur = local_size; 845 846 /* import scaling vector (wrong formulation if we have 3D edges) */ 847 if (scaling && compute_Stilda) { 848 const PetscScalar *array; 849 PetscScalar *array2; 850 const PetscInt *idxs; 851 PetscInt i; 852 853 ierr = ISGetIndices(sub_schurs->is_Ej_all,&idxs);CHKERRQ(ierr); 854 ierr = VecCreateSeq(PETSC_COMM_SELF,size_active_schur,&Dall);CHKERRQ(ierr); 855 ierr = VecGetArrayRead(scaling,&array);CHKERRQ(ierr); 856 ierr = VecGetArray(Dall,&array2);CHKERRQ(ierr); 857 for (i=0;i<size_active_schur;i++) array2[i] = array[idxs[i]]; 858 ierr = VecRestoreArray(Dall,&array2);CHKERRQ(ierr); 859 ierr = VecRestoreArrayRead(scaling,&array);CHKERRQ(ierr); 860 ierr = ISRestoreIndices(sub_schurs->is_Ej_all,&idxs);CHKERRQ(ierr); 861 deluxe = PETSC_FALSE; 862 } 863 864 /* size active schurs does not count any dirichlet or vertex dof on the interface */ 865 factor_workaround = PETSC_FALSE; 866 schur_has_vertices = PETSC_FALSE; 867 cum = n_I+size_active_schur; 868 if (sub_schurs->is_dir) { 869 const PetscInt* idxs; 870 PetscInt n_dir; 871 872 ierr = ISGetLocalSize(sub_schurs->is_dir,&n_dir);CHKERRQ(ierr); 873 ierr = ISGetIndices(sub_schurs->is_dir,&idxs);CHKERRQ(ierr); 874 ierr = PetscMemcpy(all_local_idx_N+cum,idxs,n_dir*sizeof(PetscInt));CHKERRQ(ierr); 875 ierr = ISRestoreIndices(sub_schurs->is_dir,&idxs);CHKERRQ(ierr); 876 cum += n_dir; 877 factor_workaround = PETSC_TRUE; 878 } 879 /* include the primal vertices in the Schur complement */ 880 if (exact_schur && sub_schurs->is_vertices && (compute_Stilda || benign_n)) { 881 PetscInt n_v; 882 883 ierr = ISGetLocalSize(sub_schurs->is_vertices,&n_v);CHKERRQ(ierr); 884 if (n_v) { 885 const PetscInt* idxs; 886 887 ierr = ISGetIndices(sub_schurs->is_vertices,&idxs);CHKERRQ(ierr); 888 ierr = PetscMemcpy(all_local_idx_N+cum,idxs,n_v*sizeof(PetscInt));CHKERRQ(ierr); 889 ierr = ISRestoreIndices(sub_schurs->is_vertices,&idxs);CHKERRQ(ierr); 890 cum += n_v; 891 factor_workaround = PETSC_TRUE; 892 schur_has_vertices = PETSC_TRUE; 893 } 894 } 895 size_schur = cum - n_I; 896 ierr = ISCreateGeneral(PETSC_COMM_SELF,cum,all_local_idx_N,PETSC_OWN_POINTER,&is_A_all);CHKERRQ(ierr); 897 if (cum == n) { 898 ierr = ISSetPermutation(is_A_all);CHKERRQ(ierr); 899 ierr = MatPermute(sub_schurs->A,is_A_all,is_A_all,&A);CHKERRQ(ierr); 900 } else { 901 ierr = MatCreateSubMatrix(sub_schurs->A,is_A_all,is_A_all,MAT_INITIAL_MATRIX,&A);CHKERRQ(ierr); 902 } 903 ierr = MatSetOptionsPrefix(A,sub_schurs->prefix);CHKERRQ(ierr); 904 ierr = MatAppendOptionsPrefix(A,"sub_schurs_");CHKERRQ(ierr); 905 906 /* if we actually change the basis for the pressures, LDL^T factors will use a lot of memory 907 n^2 instead of n^1.5 or something. This is a workaround */ 908 if (benign_n) { 909 Vec v; 910 ISLocalToGlobalMapping N_to_reor; 911 IS is_p0,is_p0_p; 912 PetscScalar *cs_AIB,*AIIm1_data; 913 PetscInt sizeA; 914 915 ierr = ISLocalToGlobalMappingCreateIS(is_A_all,&N_to_reor);CHKERRQ(ierr); 916 ierr = ISCreateGeneral(PETSC_COMM_SELF,benign_n,benign_p0_lidx,PETSC_COPY_VALUES,&is_p0);CHKERRQ(ierr); 917 ierr = ISGlobalToLocalMappingApplyIS(N_to_reor,IS_GTOLM_DROP,is_p0,&is_p0_p);CHKERRQ(ierr); 918 ierr = ISDestroy(&is_p0);CHKERRQ(ierr); 919 ierr = MatCreateVecs(A,&v,NULL);CHKERRQ(ierr); 920 ierr = VecGetSize(v,&sizeA);CHKERRQ(ierr); 921 ierr = MatCreateSeqDense(PETSC_COMM_SELF,sizeA,benign_n,NULL,&benign_AIIm1_ones_mat);CHKERRQ(ierr); 922 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_schur,benign_n,NULL,&cs_AIB_mat);CHKERRQ(ierr); 923 ierr = MatDenseGetArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 924 ierr = MatDenseGetArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 925 ierr = PetscMalloc1(benign_n,&is_p_r);CHKERRQ(ierr); 926 /* compute colsum of A_IB restricted to pressures */ 927 for (i=0;i<benign_n;i++) { 928 Vec benign_AIIm1_ones; 929 PetscScalar *array; 930 const PetscInt *idxs; 931 PetscInt j,nz; 932 933 ierr = ISGlobalToLocalMappingApplyIS(N_to_reor,IS_GTOLM_DROP,benign_zerodiag_subs[i],&is_p_r[i]);CHKERRQ(ierr); 934 ierr = ISGetLocalSize(is_p_r[i],&nz);CHKERRQ(ierr); 935 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 936 for (j=0;j<nz;j++) AIIm1_data[idxs[j]+sizeA*i] = 1.; 937 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 938 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,sizeA,AIIm1_data+sizeA*i,&benign_AIIm1_ones);CHKERRQ(ierr); 939 ierr = MatMult(A,benign_AIIm1_ones,v);CHKERRQ(ierr); 940 ierr = VecDestroy(&benign_AIIm1_ones);CHKERRQ(ierr); 941 ierr = VecGetArray(v,&array);CHKERRQ(ierr); 942 for (j=0;j<size_schur;j++) { 943 #if defined(PETSC_USE_COMPLEX) 944 cs_AIB[i*size_schur + j] = (PetscRealPart(array[j+n_I])/nz + PETSC_i*(PetscImaginaryPart(array[j+n_I])/nz)); 945 #else 946 cs_AIB[i*size_schur + j] = array[j+n_I]/nz; 947 #endif 948 } 949 ierr = VecRestoreArray(v,&array);CHKERRQ(ierr); 950 } 951 ierr = MatDenseRestoreArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 952 ierr = MatDenseRestoreArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 953 ierr = VecDestroy(&v);CHKERRQ(ierr); 954 ierr = MatSetOption(A,MAT_KEEP_NONZERO_PATTERN,PETSC_FALSE);CHKERRQ(ierr); 955 ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr); 956 ierr = MatSetOption(A,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr); 957 ierr = MatZeroRowsColumnsIS(A,is_p0_p,1.0,NULL,NULL);CHKERRQ(ierr); 958 ierr = ISDestroy(&is_p0_p);CHKERRQ(ierr); 959 ierr = ISLocalToGlobalMappingDestroy(&N_to_reor);CHKERRQ(ierr); 960 } 961 ierr = MatSetOption(A,MAT_SYMMETRIC,sub_schurs->is_symmetric);CHKERRQ(ierr); 962 ierr = MatSetOption(A,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr); 963 ierr = MatSetOption(A,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr); 964 965 /* for complexes, symmetric and hermitian at the same time implies null imaginary part */ 966 use_cholesky = (PetscBool)((use_potr || use_sytr) && sub_schurs->is_hermitian && sub_schurs->is_symmetric); 967 968 /* when using the benign subspace trick, the local Schur complements are SPD */ 969 if (benign_trick) sub_schurs->is_posdef = PETSC_TRUE; 970 971 if (n_I) { 972 IS is_schur; 973 974 if (use_cholesky) { 975 ierr = MatGetFactor(A,sub_schurs->mat_solver_type,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr); 976 } else { 977 ierr = MatGetFactor(A,sub_schurs->mat_solver_type,MAT_FACTOR_LU,&F);CHKERRQ(ierr); 978 } 979 ierr = MatSetErrorIfFailure(A,PETSC_TRUE);CHKERRQ(ierr); 980 981 /* subsets ordered last */ 982 ierr = ISCreateStride(PETSC_COMM_SELF,size_schur,n_I,1,&is_schur);CHKERRQ(ierr); 983 ierr = MatFactorSetSchurIS(F,is_schur);CHKERRQ(ierr); 984 ierr = ISDestroy(&is_schur);CHKERRQ(ierr); 985 986 /* factorization step */ 987 if (use_cholesky) { 988 ierr = MatCholeskyFactorSymbolic(F,A,NULL,NULL);CHKERRQ(ierr); 989 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */ 990 ierr = MatMumpsSetIcntl(F,19,2);CHKERRQ(ierr); 991 #endif 992 ierr = MatCholeskyFactorNumeric(F,A,NULL);CHKERRQ(ierr); 993 S_lower_triangular = PETSC_TRUE; 994 } else { 995 ierr = MatLUFactorSymbolic(F,A,NULL,NULL,NULL);CHKERRQ(ierr); 996 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */ 997 ierr = MatMumpsSetIcntl(F,19,3);CHKERRQ(ierr); 998 #endif 999 ierr = MatLUFactorNumeric(F,A,NULL);CHKERRQ(ierr); 1000 } 1001 ierr = MatViewFromOptions(F,(PetscObject)A,"-mat_factor_view");CHKERRQ(ierr); 1002 1003 if (print_schurs) { 1004 PetscViewer viewer; 1005 char filename[256]; 1006 Mat S; 1007 IS is; 1008 1009 ierr = PetscSNPrintf(filename,sizeof(filename),"sub_schurs_Schur_r%d.m",PetscGlobalRank);CHKERRQ(ierr); 1010 ierr = PetscViewerASCIIOpen(PETSC_COMM_SELF,filename,&viewer);CHKERRQ(ierr); 1011 ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 1012 ierr = PetscObjectSetName((PetscObject)A,"A");CHKERRQ(ierr); 1013 ierr = MatView(A,viewer);CHKERRQ(ierr); 1014 ierr = MatFactorCreateSchurComplement(F,&S,NULL);CHKERRQ(ierr); 1015 ierr = PetscObjectSetName((PetscObject)S,"S");CHKERRQ(ierr); 1016 ierr = MatView(S,viewer);CHKERRQ(ierr); 1017 ierr = MatDestroy(&S);CHKERRQ(ierr); 1018 ierr = ISCreateStride(PETSC_COMM_SELF,n_I,0,1,&is);CHKERRQ(ierr); 1019 ierr = PetscObjectSetName((PetscObject)is,"I");CHKERRQ(ierr); 1020 ierr = ISView(is,viewer);CHKERRQ(ierr); 1021 ierr = ISDestroy(&is);CHKERRQ(ierr); 1022 ierr = ISCreateStride(PETSC_COMM_SELF,size_schur,n_I,1,&is);CHKERRQ(ierr); 1023 ierr = PetscObjectSetName((PetscObject)is,"B");CHKERRQ(ierr); 1024 ierr = ISView(is,viewer);CHKERRQ(ierr); 1025 ierr = ISDestroy(&is);CHKERRQ(ierr); 1026 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 1027 } 1028 1029 /* get explicit Schur Complement computed during numeric factorization */ 1030 ierr = MatFactorGetSchurComplement(F,&S_all,NULL);CHKERRQ(ierr); 1031 ierr = MatSetOption(S_all,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr); 1032 ierr = MatSetOption(S_all,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr); 1033 1034 /* we can reuse the solvers if we are not using the economic version */ 1035 reuse_solvers = (PetscBool)(reuse_solvers && !economic); 1036 factor_workaround = (PetscBool)(reuse_solvers && factor_workaround); 1037 if (!sub_schurs->is_posdef && factor_workaround && compute_Stilda && size_active_schur) 1038 reuse_solvers = factor_workaround = PETSC_FALSE; 1039 1040 solver_S = PETSC_TRUE; 1041 1042 /* update the Schur complement with the change of basis on the pressures */ 1043 if (benign_n) { 1044 PetscScalar *S_data,*cs_AIB,*AIIm1_data; 1045 Vec v; 1046 PetscInt sizeA; 1047 1048 ierr = MatDenseGetArray(S_all,&S_data);CHKERRQ(ierr); 1049 ierr = MatCreateVecs(A,&v,NULL);CHKERRQ(ierr); 1050 ierr = VecGetSize(v,&sizeA);CHKERRQ(ierr); 1051 #if defined(PETSC_HAVE_MUMPS) 1052 ierr = MatMumpsSetIcntl(F,26,0);CHKERRQ(ierr); 1053 #endif 1054 #if defined(PETSC_HAVE_MKL_PARDISO) 1055 ierr = MatMkl_PardisoSetCntl(F,70,1);CHKERRQ(ierr); 1056 #endif 1057 ierr = MatDenseGetArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 1058 ierr = MatDenseGetArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 1059 for (i=0;i<benign_n;i++) { 1060 Vec benign_AIIm1_ones; 1061 PetscScalar *array,sum = 0.,one = 1.; 1062 const PetscInt *idxs; 1063 PetscInt j,nz; 1064 PetscBLASInt B_k,B_n; 1065 1066 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,sizeA,AIIm1_data+sizeA*i,&benign_AIIm1_ones);CHKERRQ(ierr); 1067 ierr = VecCopy(benign_AIIm1_ones,v);CHKERRQ(ierr); 1068 ierr = MatSolve(F,v,benign_AIIm1_ones);CHKERRQ(ierr); 1069 ierr = ISGetLocalSize(is_p_r[i],&nz);CHKERRQ(ierr); 1070 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1071 /* p0 dof (eliminated) is excluded from the sum */ 1072 for (j=0;j<nz-1;j++) sum -= AIIm1_data[idxs[j]+sizeA*i]; 1073 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1074 ierr = MatMult(A,benign_AIIm1_ones,v);CHKERRQ(ierr); 1075 ierr = VecGetArray(v,&array);CHKERRQ(ierr); 1076 /* perform sparse rank updates on symmetric Schur (TODO: move outside of the loop?) */ 1077 /* cs_AIB already scaled by 1./nz */ 1078 B_k = 1; 1079 ierr = PetscBLASIntCast(size_schur,&B_n);CHKERRQ(ierr); 1080 PetscStackCallBLAS("BLASsyrk",BLASsyrk_("L","N",&B_n,&B_k,&sum,cs_AIB+i*size_schur,&B_n,&one,S_data,&B_n)); 1081 sum = 1.; 1082 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)); 1083 ierr = VecRestoreArray(v,&array);CHKERRQ(ierr); 1084 /* set p0 entry of AIIm1_ones to zero */ 1085 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1086 for (j=0;j<benign_n;j++) AIIm1_data[idxs[nz-1]+sizeA*j] = 0.; 1087 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1088 ierr = VecDestroy(&benign_AIIm1_ones);CHKERRQ(ierr); 1089 } 1090 if (!S_lower_triangular) { /* I need to expand the upper triangular data (column oriented) */ 1091 PetscInt k,j; 1092 for (k=0;k<size_schur;k++) { 1093 for (j=k;j<size_schur;j++) { 1094 S_data[j*size_schur+k] = PetscConj(S_data[k*size_schur+j]); 1095 } 1096 } 1097 } 1098 1099 /* restore defaults */ 1100 #if defined(PETSC_HAVE_MUMPS) 1101 ierr = MatMumpsSetIcntl(F,26,-1);CHKERRQ(ierr); 1102 #endif 1103 #if defined(PETSC_HAVE_MKL_PARDISO) 1104 ierr = MatMkl_PardisoSetCntl(F,70,0);CHKERRQ(ierr); 1105 #endif 1106 ierr = MatDenseRestoreArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 1107 ierr = MatDenseRestoreArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 1108 ierr = VecDestroy(&v);CHKERRQ(ierr); 1109 ierr = MatDenseRestoreArray(S_all,&S_data);CHKERRQ(ierr); 1110 } 1111 if (!reuse_solvers) { 1112 for (i=0;i<benign_n;i++) { 1113 ierr = ISDestroy(&is_p_r[i]);CHKERRQ(ierr); 1114 } 1115 ierr = PetscFree(is_p_r);CHKERRQ(ierr); 1116 ierr = MatDestroy(&cs_AIB_mat);CHKERRQ(ierr); 1117 ierr = MatDestroy(&benign_AIIm1_ones_mat);CHKERRQ(ierr); 1118 } 1119 } else { /* we can't use MatFactor when size_schur == size_of_the_problem */ 1120 ierr = MatConvert(A,MATSEQDENSE,MAT_INITIAL_MATRIX,&S_all);CHKERRQ(ierr); 1121 reuse_solvers = PETSC_FALSE; /* TODO: why we can't reuse the solvers here? */ 1122 factor_workaround = PETSC_FALSE; 1123 solver_S = PETSC_FALSE; 1124 } 1125 1126 if (reuse_solvers) { 1127 Mat A_II,Afake; 1128 Vec vec1_B; 1129 PCBDDCReuseSolvers msolv_ctx; 1130 PetscInt n_R; 1131 1132 if (sub_schurs->reuse_solver) { 1133 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 1134 } else { 1135 ierr = PetscNew(&sub_schurs->reuse_solver);CHKERRQ(ierr); 1136 } 1137 msolv_ctx = sub_schurs->reuse_solver; 1138 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,NULL,NULL,NULL);CHKERRQ(ierr); 1139 ierr = PetscObjectReference((PetscObject)F);CHKERRQ(ierr); 1140 msolv_ctx->F = F; 1141 ierr = MatCreateVecs(F,&msolv_ctx->sol,NULL);CHKERRQ(ierr); 1142 /* currently PETSc has no support for MatSolve(F,x,x), so cheat and let rhs and sol share the same memory */ 1143 { 1144 PetscScalar *array; 1145 PetscInt n; 1146 1147 ierr = VecGetLocalSize(msolv_ctx->sol,&n);CHKERRQ(ierr); 1148 ierr = VecGetArray(msolv_ctx->sol,&array);CHKERRQ(ierr); 1149 ierr = VecCreateSeqWithArray(PetscObjectComm((PetscObject)msolv_ctx->sol),1,n,array,&msolv_ctx->rhs);CHKERRQ(ierr); 1150 ierr = VecRestoreArray(msolv_ctx->sol,&array);CHKERRQ(ierr); 1151 } 1152 msolv_ctx->has_vertices = schur_has_vertices; 1153 1154 /* interior solver */ 1155 ierr = PCCreate(PetscObjectComm((PetscObject)A_II),&msolv_ctx->interior_solver);CHKERRQ(ierr); 1156 ierr = PCSetOperators(msolv_ctx->interior_solver,A_II,A_II);CHKERRQ(ierr); 1157 ierr = PCSetType(msolv_ctx->interior_solver,PCSHELL);CHKERRQ(ierr); 1158 ierr = PCShellSetName(msolv_ctx->interior_solver,"Interior solver (w/o Schur factorization)");CHKERRQ(ierr); 1159 ierr = PCShellSetContext(msolv_ctx->interior_solver,msolv_ctx);CHKERRQ(ierr); 1160 ierr = PCShellSetView(msolv_ctx->interior_solver,PCBDDCReuseSolvers_View);CHKERRQ(ierr); 1161 ierr = PCShellSetApply(msolv_ctx->interior_solver,PCBDDCReuseSolvers_Interior);CHKERRQ(ierr); 1162 ierr = PCShellSetApplyTranspose(msolv_ctx->interior_solver,PCBDDCReuseSolvers_InteriorTranspose);CHKERRQ(ierr); 1163 1164 /* correction solver */ 1165 ierr = PCCreate(PetscObjectComm((PetscObject)A_II),&msolv_ctx->correction_solver);CHKERRQ(ierr); 1166 ierr = PCSetType(msolv_ctx->correction_solver,PCSHELL);CHKERRQ(ierr); 1167 ierr = PCShellSetName(msolv_ctx->correction_solver,"Correction solver (with Schur factorization)");CHKERRQ(ierr); 1168 ierr = PCShellSetContext(msolv_ctx->correction_solver,msolv_ctx);CHKERRQ(ierr); 1169 ierr = PCShellSetView(msolv_ctx->interior_solver,PCBDDCReuseSolvers_View);CHKERRQ(ierr); 1170 ierr = PCShellSetApply(msolv_ctx->correction_solver,PCBDDCReuseSolvers_Correction);CHKERRQ(ierr); 1171 ierr = PCShellSetApplyTranspose(msolv_ctx->correction_solver,PCBDDCReuseSolvers_CorrectionTranspose);CHKERRQ(ierr); 1172 1173 /* scatter and vecs for Schur complement solver */ 1174 ierr = MatCreateVecs(S_all,&msolv_ctx->sol_B,&msolv_ctx->rhs_B);CHKERRQ(ierr); 1175 ierr = MatCreateVecs(sub_schurs->S,&vec1_B,NULL);CHKERRQ(ierr); 1176 if (!schur_has_vertices) { 1177 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,is_A_all,&msolv_ctx->is_B);CHKERRQ(ierr); 1178 ierr = VecScatterCreate(vec1_B,msolv_ctx->is_B,msolv_ctx->sol_B,NULL,&msolv_ctx->correction_scatter_B);CHKERRQ(ierr); 1179 ierr = PetscObjectReference((PetscObject)is_A_all);CHKERRQ(ierr); 1180 msolv_ctx->is_R = is_A_all; 1181 } else { 1182 IS is_B_all; 1183 const PetscInt* idxs; 1184 PetscInt dual,n_v,n; 1185 1186 ierr = ISGetLocalSize(sub_schurs->is_vertices,&n_v);CHKERRQ(ierr); 1187 dual = size_schur - n_v; 1188 ierr = ISGetLocalSize(is_A_all,&n);CHKERRQ(ierr); 1189 ierr = ISGetIndices(is_A_all,&idxs);CHKERRQ(ierr); 1190 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)is_A_all),dual,idxs+n_I,PETSC_COPY_VALUES,&is_B_all);CHKERRQ(ierr); 1191 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,is_B_all,&msolv_ctx->is_B);CHKERRQ(ierr); 1192 ierr = ISDestroy(&is_B_all);CHKERRQ(ierr); 1193 ierr = ISCreateStride(PetscObjectComm((PetscObject)is_A_all),dual,0,1,&is_B_all);CHKERRQ(ierr); 1194 ierr = VecScatterCreate(vec1_B,msolv_ctx->is_B,msolv_ctx->sol_B,is_B_all,&msolv_ctx->correction_scatter_B);CHKERRQ(ierr); 1195 ierr = ISDestroy(&is_B_all);CHKERRQ(ierr); 1196 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)is_A_all),n-n_v,idxs,PETSC_COPY_VALUES,&msolv_ctx->is_R);CHKERRQ(ierr); 1197 ierr = ISRestoreIndices(is_A_all,&idxs);CHKERRQ(ierr); 1198 } 1199 ierr = ISGetLocalSize(msolv_ctx->is_R,&n_R);CHKERRQ(ierr); 1200 ierr = MatCreateSeqAIJ(PETSC_COMM_SELF,n_R,n_R,0,NULL,&Afake);CHKERRQ(ierr); 1201 ierr = MatAssemblyBegin(Afake,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1202 ierr = MatAssemblyEnd(Afake,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1203 ierr = PCSetOperators(msolv_ctx->correction_solver,Afake,Afake);CHKERRQ(ierr); 1204 ierr = MatDestroy(&Afake);CHKERRQ(ierr); 1205 ierr = VecDestroy(&vec1_B);CHKERRQ(ierr); 1206 1207 /* communicate benign info to solver context */ 1208 if (benign_n) { 1209 PetscScalar *array; 1210 1211 msolv_ctx->benign_n = benign_n; 1212 msolv_ctx->benign_zerodiag_subs = is_p_r; 1213 ierr = PetscMalloc1(benign_n,&msolv_ctx->benign_save_vals);CHKERRQ(ierr); 1214 msolv_ctx->benign_csAIB = cs_AIB_mat; 1215 ierr = MatCreateVecs(cs_AIB_mat,&msolv_ctx->benign_corr_work,NULL);CHKERRQ(ierr); 1216 ierr = VecGetArray(msolv_ctx->benign_corr_work,&array);CHKERRQ(ierr); 1217 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,size_schur,array,&msolv_ctx->benign_dummy_schur_vec);CHKERRQ(ierr); 1218 ierr = VecRestoreArray(msolv_ctx->benign_corr_work,&array);CHKERRQ(ierr); 1219 msolv_ctx->benign_AIIm1ones = benign_AIIm1_ones_mat; 1220 } 1221 } else { 1222 if (sub_schurs->reuse_solver) { 1223 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 1224 } 1225 ierr = PetscFree(sub_schurs->reuse_solver);CHKERRQ(ierr); 1226 } 1227 ierr = MatDestroy(&A);CHKERRQ(ierr); 1228 ierr = ISDestroy(&is_A_all);CHKERRQ(ierr); 1229 1230 /* Work arrays */ 1231 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 1232 1233 /* matrices for deluxe scaling and adaptive selection */ 1234 if (compute_Stilda) { 1235 if (!sub_schurs->sum_S_Ej_tilda_all) { 1236 ierr = MatDuplicate(sub_schurs->S_Ej_all,MAT_SHARE_NONZERO_PATTERN,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1237 } 1238 if (!sub_schurs->sum_S_Ej_inv_all && deluxe) { 1239 ierr = MatDuplicate(sub_schurs->S_Ej_all,MAT_SHARE_NONZERO_PATTERN,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1240 } 1241 } 1242 1243 /* S_Ej_all */ 1244 cum = cum2 = 0; 1245 ierr = MatDenseGetArray(S_all,&S_data);CHKERRQ(ierr); 1246 for (i=0;i<sub_schurs->n_subs;i++) { 1247 PetscInt j; 1248 1249 /* get S_E */ 1250 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1251 if (S_lower_triangular) { /* I need to expand the upper triangular data (column oriented) */ 1252 PetscInt k; 1253 for (k=0;k<subset_size;k++) { 1254 for (j=k;j<subset_size;j++) { 1255 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1256 work[j*subset_size+k] = PetscConj(S_data[cum2+k*size_schur+j]); 1257 } 1258 } 1259 } else { /* just copy to workspace */ 1260 PetscInt k; 1261 for (k=0;k<subset_size;k++) { 1262 for (j=0;j<subset_size;j++) { 1263 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1264 } 1265 } 1266 } 1267 /* insert S_E values */ 1268 for (j=0;j<subset_size;j++) dummy_idx[j] = cum+j; 1269 if (sub_schurs->change) { 1270 Mat change_sub,SEj,T; 1271 1272 /* change basis */ 1273 ierr = KSPGetOperators(sub_schurs->change[i],&change_sub,NULL);CHKERRQ(ierr); 1274 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1275 if (!sub_schurs->change_with_qr) { /* currently there's no support for PtAP with P SeqAIJ */ 1276 Mat T2; 1277 ierr = MatTransposeMatMult(change_sub,SEj,MAT_INITIAL_MATRIX,1.0,&T2);CHKERRQ(ierr); 1278 ierr = MatMatMult(T2,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1279 ierr = MatConvert(T,MATSEQDENSE,MAT_INPLACE_MATRIX,&T);CHKERRQ(ierr); 1280 ierr = MatDestroy(&T2);CHKERRQ(ierr); 1281 } else { 1282 ierr = MatPtAP(SEj,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1283 } 1284 ierr = MatCopy(T,SEj,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1285 ierr = MatDestroy(&T);CHKERRQ(ierr); 1286 ierr = MatZeroRowsColumnsIS(SEj,sub_schurs->change_primal_sub[i],1.0,NULL,NULL);CHKERRQ(ierr); 1287 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1288 } 1289 if (deluxe) { 1290 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1291 /* if adaptivity is requested, invert S_E blocks */ 1292 if (compute_Stilda) { 1293 PetscInt k; 1294 1295 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 1296 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1297 if (use_potr) { 1298 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,work,&B_N,&B_ierr)); 1299 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1300 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,work,&B_N,&B_ierr)); 1301 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1302 for (k=0;k<subset_size;k++) { 1303 for (j=k;j<subset_size;j++) { 1304 work[j*subset_size+k] = work[k*subset_size+j]; 1305 } 1306 } 1307 } else if (use_sytr) { 1308 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,work,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1309 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr); 1310 PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_("L",&B_N,work,&B_N,pivots,Bwork,&B_ierr)); 1311 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr); 1312 for (k=0;k<subset_size;k++) { 1313 for (j=k;j<subset_size;j++) { 1314 work[j*subset_size+k] = work[k*subset_size+j]; 1315 } 1316 } 1317 } else { 1318 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,work,&B_N,pivots,&B_ierr)); 1319 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1320 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,work,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1321 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1322 } 1323 ierr = PetscLogFlops(1.0*subset_size*subset_size*subset_size);CHKERRQ(ierr); 1324 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1325 ierr = MatSetValues(sub_schurs->sum_S_Ej_inv_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1326 } 1327 } else if (compute_Stilda) { /* not using deluxe */ 1328 Mat SEj; 1329 Vec D; 1330 PetscScalar *array; 1331 1332 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1333 ierr = VecGetArray(Dall,&array);CHKERRQ(ierr); 1334 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,subset_size,array+cum,&D);CHKERRQ(ierr); 1335 ierr = VecRestoreArray(Dall,&array);CHKERRQ(ierr); 1336 ierr = VecShift(D,-1.);CHKERRQ(ierr); 1337 ierr = MatDiagonalScale(SEj,D,D);CHKERRQ(ierr); 1338 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1339 ierr = VecDestroy(&D);CHKERRQ(ierr); 1340 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1341 } 1342 cum += subset_size; 1343 cum2 += subset_size*(size_schur + 1); 1344 } 1345 ierr = MatDenseRestoreArray(S_all,&S_data);CHKERRQ(ierr); 1346 1347 if (solver_S) { 1348 ierr = MatFactorRestoreSchurComplement(F,&S_all,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr); 1349 } 1350 1351 schur_factor = NULL; 1352 if (compute_Stilda && size_active_schur) { 1353 1354 if (sub_schurs->n_subs == 1 && size_schur == size_active_schur && deluxe) { /* we already computed the inverse */ 1355 PetscInt j; 1356 for (j=0;j<size_schur;j++) dummy_idx[j] = j; 1357 ierr = MatSetValues(sub_schurs->sum_S_Ej_tilda_all,size_schur,dummy_idx,size_schur,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1358 } else { 1359 Mat S_all_inv=NULL; 1360 if (solver_S) { 1361 /* for adaptive selection we need S^-1; for solver reusage we need S_\Delta\Delta^-1. 1362 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 */ 1363 if (factor_workaround) {/* invert without calling MatFactorInvertSchurComplement, since we are hacking */ 1364 PetscScalar *data; 1365 PetscInt nd = 0; 1366 1367 if (!use_potr) { 1368 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor update not yet implemented for non SPD matrices"); 1369 } 1370 ierr = MatFactorGetSchurComplement(F,&S_all_inv,NULL);CHKERRQ(ierr); 1371 ierr = MatDenseGetArray(S_all_inv,&data);CHKERRQ(ierr); 1372 if (sub_schurs->is_dir) { /* dirichlet dofs could have different scalings */ 1373 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1374 } 1375 1376 /* factor and invert activedofs and vertices (dirichlet dofs does not contribute) */ 1377 if (schur_has_vertices) { 1378 Mat M; 1379 PetscScalar *tdata; 1380 PetscInt nv = 0, news; 1381 1382 ierr = ISGetLocalSize(sub_schurs->is_vertices,&nv);CHKERRQ(ierr); 1383 news = size_active_schur + nv; 1384 ierr = PetscCalloc1(news*news,&tdata);CHKERRQ(ierr); 1385 for (i=0;i<size_active_schur;i++) { 1386 ierr = PetscMemcpy(tdata+i*(news+1),data+i*(size_schur+1),(size_active_schur-i)*sizeof(PetscScalar));CHKERRQ(ierr); 1387 ierr = PetscMemcpy(tdata+i*(news+1)+size_active_schur-i,data+i*size_schur+size_active_schur+nd,nv*sizeof(PetscScalar));CHKERRQ(ierr); 1388 } 1389 for (i=0;i<nv;i++) { 1390 PetscInt k = i+size_active_schur; 1391 ierr = PetscMemcpy(tdata+k*(news+1),data+(k+nd)*(size_schur+1),(nv-i)*sizeof(PetscScalar));CHKERRQ(ierr); 1392 } 1393 1394 ierr = MatCreateSeqDense(PETSC_COMM_SELF,news,news,tdata,&M);CHKERRQ(ierr); 1395 ierr = MatSetOption(M,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr); 1396 ierr = MatCholeskyFactor(M,NULL,NULL);CHKERRQ(ierr); 1397 /* save the factors */ 1398 cum = 0; 1399 ierr = PetscMalloc1((size_active_schur*(size_active_schur +1))/2+nd,&schur_factor);CHKERRQ(ierr); 1400 for (i=0;i<size_active_schur;i++) { 1401 ierr = PetscMemcpy(schur_factor+cum,tdata+i*(news+1),(size_active_schur-i)*sizeof(PetscScalar));CHKERRQ(ierr); 1402 cum += size_active_schur - i; 1403 } 1404 for (i=0;i<nd;i++) schur_factor[cum+i] = PetscSqrtReal(PetscRealPart(data[(i+size_active_schur)*(size_schur+1)])); 1405 ierr = MatSeqDenseInvertFactors_Private(M);CHKERRQ(ierr); 1406 /* move back just the active dofs to the Schur complement */ 1407 for (i=0;i<size_active_schur;i++) { 1408 ierr = PetscMemcpy(data+i*size_schur,tdata+i*news,size_active_schur*sizeof(PetscScalar));CHKERRQ(ierr); 1409 } 1410 ierr = PetscFree(tdata);CHKERRQ(ierr); 1411 ierr = MatDestroy(&M);CHKERRQ(ierr); 1412 } else { /* we can factorize and invert just the activedofs */ 1413 Mat M; 1414 PetscScalar *aux; 1415 1416 ierr = PetscMalloc1(nd,&aux);CHKERRQ(ierr); 1417 for (i=0;i<nd;i++) aux[i] = 1.0/data[(i+size_active_schur)*(size_schur+1)]; 1418 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_active_schur,size_active_schur,data,&M);CHKERRQ(ierr); 1419 ierr = MatSeqDenseSetLDA(M,size_schur);CHKERRQ(ierr); 1420 ierr = MatSetOption(M,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr); 1421 ierr = MatCholeskyFactor(M,NULL,NULL);CHKERRQ(ierr); 1422 ierr = MatSeqDenseInvertFactors_Private(M);CHKERRQ(ierr); 1423 ierr = MatDestroy(&M);CHKERRQ(ierr); 1424 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_schur,nd,data+size_active_schur*size_schur,&M);CHKERRQ(ierr); 1425 ierr = MatZeroEntries(M);CHKERRQ(ierr); 1426 ierr = MatDestroy(&M);CHKERRQ(ierr); 1427 ierr = MatCreateSeqDense(PETSC_COMM_SELF,nd,size_schur,data+size_active_schur,&M);CHKERRQ(ierr); 1428 ierr = MatSeqDenseSetLDA(M,size_schur);CHKERRQ(ierr); 1429 ierr = MatZeroEntries(M);CHKERRQ(ierr); 1430 ierr = MatDestroy(&M);CHKERRQ(ierr); 1431 for (i=0;i<nd;i++) data[(i+size_active_schur)*(size_schur+1)] = aux[i]; 1432 ierr = PetscFree(aux);CHKERRQ(ierr); 1433 } 1434 ierr = MatDenseRestoreArray(S_all_inv,&data);CHKERRQ(ierr); 1435 } else { /* use MatFactor calls to invert S */ 1436 ierr = MatFactorInvertSchurComplement(F);CHKERRQ(ierr); 1437 ierr = MatFactorGetSchurComplement(F,&S_all_inv,NULL);CHKERRQ(ierr); 1438 } 1439 } else { /* we need to invert explicitly since we are not using MatFactor for S */ 1440 ierr = PetscObjectReference((PetscObject)S_all);CHKERRQ(ierr); 1441 S_all_inv = S_all; 1442 ierr = MatDenseGetArray(S_all_inv,&S_data);CHKERRQ(ierr); 1443 ierr = PetscBLASIntCast(size_schur,&B_N);CHKERRQ(ierr); 1444 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1445 if (use_potr) { 1446 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,S_data,&B_N,&B_ierr)); 1447 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1448 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,S_data,&B_N,&B_ierr)); 1449 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1450 } else if (use_sytr) { 1451 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,S_data,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1452 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr); 1453 PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_("L",&B_N,S_data,&B_N,pivots,Bwork,&B_ierr)); 1454 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr); 1455 } else { 1456 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,S_data,&B_N,pivots,&B_ierr)); 1457 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1458 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,S_data,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1459 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1460 } 1461 ierr = PetscLogFlops(1.0*size_schur*size_schur*size_schur);CHKERRQ(ierr); 1462 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1463 ierr = MatDenseRestoreArray(S_all_inv,&S_data);CHKERRQ(ierr); 1464 } 1465 /* S_Ej_tilda_all */ 1466 cum = cum2 = 0; 1467 ierr = MatDenseGetArray(S_all_inv,&S_data);CHKERRQ(ierr); 1468 for (i=0;i<sub_schurs->n_subs;i++) { 1469 PetscInt j; 1470 1471 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1472 /* get (St^-1)_E */ 1473 /* Unless we are changing the variables, I don't need to expand to upper triangular since St^-1 1474 will be properly accessed later during adaptive selection */ 1475 if (S_lower_triangular) { 1476 PetscInt k; 1477 if (sub_schurs->change) { 1478 for (k=0;k<subset_size;k++) { 1479 for (j=k;j<subset_size;j++) { 1480 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1481 work[j*subset_size+k] = work[k*subset_size+j]; 1482 } 1483 } 1484 } else { 1485 for (k=0;k<subset_size;k++) { 1486 for (j=k;j<subset_size;j++) { 1487 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1488 } 1489 } 1490 } 1491 } else { 1492 PetscInt k; 1493 for (k=0;k<subset_size;k++) { 1494 for (j=0;j<subset_size;j++) { 1495 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1496 } 1497 } 1498 } 1499 if (sub_schurs->change) { 1500 Mat change_sub,SEj,T; 1501 1502 /* change basis */ 1503 ierr = KSPGetOperators(sub_schurs->change[i],&change_sub,NULL);CHKERRQ(ierr); 1504 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1505 if (!sub_schurs->change_with_qr) { /* currently there's no support for PtAP with P SeqAIJ */ 1506 Mat T2; 1507 ierr = MatTransposeMatMult(change_sub,SEj,MAT_INITIAL_MATRIX,1.0,&T2);CHKERRQ(ierr); 1508 ierr = MatMatMult(T2,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1509 ierr = MatDestroy(&T2);CHKERRQ(ierr); 1510 ierr = MatConvert(T,MATSEQDENSE,MAT_INPLACE_MATRIX,&T);CHKERRQ(ierr); 1511 } else { 1512 ierr = MatPtAP(SEj,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1513 } 1514 ierr = MatCopy(T,SEj,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1515 ierr = MatDestroy(&T);CHKERRQ(ierr); 1516 /* set diagonal entry to a very large value to pick the basis we are eliminating as the first eigenvectors with adaptive selection */ 1517 ierr = MatZeroRowsColumnsIS(SEj,sub_schurs->change_primal_sub[i],1./PETSC_SMALL,NULL,NULL);CHKERRQ(ierr); 1518 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1519 } 1520 for (j=0;j<subset_size;j++) dummy_idx[j] = cum+j; 1521 ierr = MatSetValues(sub_schurs->sum_S_Ej_tilda_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1522 cum += subset_size; 1523 cum2 += subset_size*(size_schur + 1); 1524 } 1525 ierr = MatDenseRestoreArray(S_all_inv,&S_data);CHKERRQ(ierr); 1526 if (solver_S) { 1527 if (schur_has_vertices) { 1528 ierr = MatFactorRestoreSchurComplement(F,&S_all_inv,MAT_FACTOR_SCHUR_FACTORED);CHKERRQ(ierr); 1529 } else { 1530 ierr = MatFactorRestoreSchurComplement(F,&S_all_inv,MAT_FACTOR_SCHUR_INVERTED);CHKERRQ(ierr); 1531 } 1532 } 1533 ierr = MatDestroy(&S_all_inv);CHKERRQ(ierr); 1534 } 1535 1536 /* move back factors if needed */ 1537 if (schur_has_vertices) { 1538 Mat S_tmp; 1539 PetscInt nd = 0; 1540 1541 if (!solver_S) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 1542 ierr = MatFactorGetSchurComplement(F,&S_tmp,NULL);CHKERRQ(ierr); 1543 if (use_potr) { 1544 PetscScalar *data; 1545 1546 ierr = MatDenseGetArray(S_tmp,&data);CHKERRQ(ierr); 1547 ierr = PetscMemzero(data,size_schur*size_schur*sizeof(PetscScalar));CHKERRQ(ierr); 1548 1549 if (S_lower_triangular) { 1550 cum = 0; 1551 for (i=0;i<size_active_schur;i++) { 1552 ierr = PetscMemcpy(data+i*(size_schur+1),schur_factor+cum,(size_active_schur-i)*sizeof(PetscScalar));CHKERRQ(ierr); 1553 cum += size_active_schur-i; 1554 } 1555 } else { 1556 ierr = PetscMemcpy(data,schur_factor,size_schur*size_schur*sizeof(PetscScalar));CHKERRQ(ierr); 1557 } 1558 if (sub_schurs->is_dir) { 1559 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1560 for (i=0;i<nd;i++) { 1561 data[(i+size_active_schur)*(size_schur+1)] = schur_factor[cum+i]; 1562 } 1563 } 1564 /* workaround: since I cannot modify the matrices used inside the solvers for the forward and backward substitutions, 1565 set the diagonal entry of the Schur factor to a very large value */ 1566 for (i=size_active_schur+nd;i<size_schur;i++) { 1567 data[i*(size_schur+1)] = infty; 1568 } 1569 ierr = MatDenseRestoreArray(S_tmp,&data);CHKERRQ(ierr); 1570 } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor update not yet implemented for non SPD matrices"); 1571 ierr = MatFactorRestoreSchurComplement(F,&S_tmp,MAT_FACTOR_SCHUR_FACTORED);CHKERRQ(ierr); 1572 } 1573 } else if (factor_workaround) { /* we need to eliminate any unneeded coupling */ 1574 PetscScalar *data; 1575 PetscInt nd = 0; 1576 1577 if (sub_schurs->is_dir) { /* dirichlet dofs could have different scalings */ 1578 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1579 } 1580 ierr = MatFactorGetSchurComplement(F,&S_all,NULL);CHKERRQ(ierr); 1581 ierr = MatDenseGetArray(S_all,&data);CHKERRQ(ierr); 1582 for (i=0;i<size_active_schur;i++) { 1583 ierr = PetscMemzero(data+i*size_schur+size_active_schur,(size_schur-size_active_schur)*sizeof(PetscScalar));CHKERRQ(ierr); 1584 } 1585 for (i=size_active_schur+nd;i<size_schur;i++) { 1586 ierr = PetscMemzero(data+i*size_schur+size_active_schur,(size_schur-size_active_schur)*sizeof(PetscScalar));CHKERRQ(ierr); 1587 data[i*(size_schur+1)] = infty; 1588 } 1589 ierr = MatDenseRestoreArray(S_all,&data);CHKERRQ(ierr); 1590 ierr = MatFactorRestoreSchurComplement(F,&S_all,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr); 1591 } 1592 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 1593 ierr = PetscFree(schur_factor);CHKERRQ(ierr); 1594 ierr = VecDestroy(&Dall);CHKERRQ(ierr); 1595 } 1596 ierr = PetscFree(nnz);CHKERRQ(ierr); 1597 ierr = MatDestroy(&F);CHKERRQ(ierr); 1598 ierr = ISDestroy(&is_I_layer);CHKERRQ(ierr); 1599 ierr = MatDestroy(&S_all);CHKERRQ(ierr); 1600 ierr = MatDestroy(&A_BB);CHKERRQ(ierr); 1601 ierr = MatDestroy(&A_IB);CHKERRQ(ierr); 1602 ierr = MatDestroy(&A_BI);CHKERRQ(ierr); 1603 1604 /* speed up matrix assembly */ 1605 ierr = PetscMalloc1(sub_schurs->n_subs,&nnz);CHKERRQ(ierr); 1606 for (i=0;i<sub_schurs->n_subs;i++) { 1607 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&nnz[i]);CHKERRQ(ierr); 1608 } 1609 ierr = ISCreateGeneral(PETSC_COMM_SELF,sub_schurs->n_subs,nnz,PETSC_OWN_POINTER,&is_I_layer);CHKERRQ(ierr); 1610 ierr = MatSetVariableBlockSizes(sub_schurs->S_Ej_all,sub_schurs->n_subs,nnz);CHKERRQ(ierr); 1611 ierr = MatAssemblyBegin(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1612 ierr = MatAssemblyEnd(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1613 if (compute_Stilda) { 1614 ierr = MatSetVariableBlockSizes(sub_schurs->sum_S_Ej_tilda_all,sub_schurs->n_subs,nnz);CHKERRQ(ierr); 1615 ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1616 ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1617 if (deluxe) { 1618 ierr = MatSetVariableBlockSizes(sub_schurs->sum_S_Ej_inv_all,sub_schurs->n_subs,nnz);CHKERRQ(ierr); 1619 ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1620 ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1621 } 1622 } 1623 ierr = ISDestroy(&is_I_layer);CHKERRQ(ierr); 1624 1625 /* Global matrix of all assembled Schur on subsets */ 1626 ierr = MatISSetLocalMat(work_mat,sub_schurs->S_Ej_all);CHKERRQ(ierr); 1627 ierr = MatAssemblyBegin(work_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1628 ierr = MatAssemblyEnd(work_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1629 ierr = MatISSetMPIXAIJPreallocation_Private(work_mat,global_schur_subsets,PETSC_TRUE);CHKERRQ(ierr); 1630 ierr = MatConvert(work_mat,MATAIJ,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1631 1632 /* Get local part of (\sum_j S_Ej) */ 1633 ierr = MatCreateSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_INITIAL_MATRIX,&submats);CHKERRQ(ierr); 1634 if (!sub_schurs->sum_S_Ej_all) { 1635 ierr = MatDuplicate(submats[0],MAT_COPY_VALUES,&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1636 } else { 1637 ierr = MatCopy(submats[0],sub_schurs->sum_S_Ej_all,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1638 } 1639 1640 /* Get local part of (\sum_j S^-1_Ej) (\sum_j St^-1_Ej) */ 1641 if (compute_Stilda) { 1642 ierr = MatISSetLocalMat(work_mat,sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1643 ierr = MatConvert(work_mat,MATAIJ,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1644 ierr = MatCreateSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr); 1645 ierr = MatCopy(submats[0],sub_schurs->sum_S_Ej_tilda_all,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1646 if (deluxe) { 1647 ierr = MatISSetLocalMat(work_mat,sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1648 ierr = MatConvert(work_mat,MATAIJ,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1649 ierr = MatCreateSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr); 1650 ierr = MatCopy(submats[0],sub_schurs->sum_S_Ej_inv_all,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1651 } else { 1652 PetscScalar *array; 1653 PetscInt cum; 1654 1655 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all,&array);CHKERRQ(ierr); 1656 cum = 0; 1657 for (i=0;i<sub_schurs->n_subs;i++) { 1658 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1659 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 1660 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1661 if (use_potr) { 1662 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,array+cum,&B_N,&B_ierr)); 1663 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1664 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,array+cum,&B_N,&B_ierr)); 1665 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1666 } else if (use_sytr) { 1667 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1668 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr); 1669 PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_("L",&B_N,array+cum,&B_N,pivots,Bwork,&B_ierr)); 1670 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr); 1671 } else { 1672 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array+cum,&B_N,pivots,&B_ierr)); 1673 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1674 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1675 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1676 } 1677 ierr = PetscLogFlops(1.0*subset_size*subset_size*subset_size);CHKERRQ(ierr); 1678 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1679 cum += subset_size*subset_size; 1680 } 1681 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_tilda_all,&array);CHKERRQ(ierr); 1682 ierr = PetscObjectReference((PetscObject)sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1683 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1684 sub_schurs->sum_S_Ej_inv_all = sub_schurs->sum_S_Ej_all; 1685 } 1686 } 1687 ierr = MatDestroySubMatrices(1,&submats);CHKERRQ(ierr); 1688 if (print_schurs) { 1689 PetscViewer viewer; 1690 char filename[256]; 1691 PetscInt cum; 1692 1693 ierr = PetscSNPrintf(filename,sizeof(filename),"sub_schurs_mats_r%d.m",PetscGlobalRank);CHKERRQ(ierr); 1694 ierr = PetscViewerASCIIOpen(PETSC_COMM_SELF,filename,&viewer);CHKERRQ(ierr); 1695 ierr = PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 1696 if (sub_schurs->S_Ej_all) { 1697 ierr = PetscObjectSetName((PetscObject)sub_schurs->S_Ej_all,"SE");CHKERRQ(ierr); 1698 ierr = MatView(sub_schurs->S_Ej_all,viewer);CHKERRQ(ierr); 1699 } 1700 if (sub_schurs->sum_S_Ej_all) { 1701 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_all,"SSE");CHKERRQ(ierr); 1702 ierr = MatView(sub_schurs->sum_S_Ej_all,viewer);CHKERRQ(ierr); 1703 } 1704 if (sub_schurs->sum_S_Ej_inv_all) { 1705 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_inv_all,"SSEm");CHKERRQ(ierr); 1706 ierr = MatView(sub_schurs->sum_S_Ej_inv_all,viewer);CHKERRQ(ierr); 1707 } 1708 if (sub_schurs->sum_S_Ej_tilda_all) { 1709 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_tilda_all,"SSEt");CHKERRQ(ierr); 1710 ierr = MatView(sub_schurs->sum_S_Ej_tilda_all,viewer);CHKERRQ(ierr); 1711 } 1712 for (i=0,cum=0;i<sub_schurs->n_subs;i++) { 1713 IS is; 1714 char name[16]; 1715 1716 ierr = PetscSNPrintf(name,sizeof(name),"IE%D",i);CHKERRQ(ierr); 1717 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1718 ierr = ISCreateStride(PETSC_COMM_SELF,subset_size,cum,1,&is);CHKERRQ(ierr); 1719 ierr = PetscObjectSetName((PetscObject)is,name);CHKERRQ(ierr); 1720 ierr = ISView(is,viewer);CHKERRQ(ierr); 1721 ierr = ISDestroy(&is);CHKERRQ(ierr); 1722 cum += subset_size; 1723 } 1724 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 1725 } 1726 1727 /* free workspace */ 1728 ierr = PetscFree(submats);CHKERRQ(ierr); 1729 ierr = PetscFree2(Bwork,pivots);CHKERRQ(ierr); 1730 ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr); 1731 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 1732 ierr = ISDestroy(&all_subsets_n);CHKERRQ(ierr); 1733 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 1734 PetscFunctionReturn(0); 1735 } 1736 1737 PetscErrorCode PCBDDCSubSchursInit(PCBDDCSubSchurs sub_schurs, const char* prefix, IS is_I, IS is_B, PCBDDCGraph graph, ISLocalToGlobalMapping BtoNmap, PetscBool copycc) 1738 { 1739 IS *faces,*edges,*all_cc,vertices; 1740 PetscInt i,n_faces,n_edges,n_all_cc; 1741 PetscBool is_sorted,ispetsc; 1742 PetscErrorCode ierr; 1743 1744 PetscFunctionBegin; 1745 ierr = ISSorted(is_I,&is_sorted);CHKERRQ(ierr); 1746 if (!is_sorted) SETERRQ(PetscObjectComm((PetscObject)is_I),PETSC_ERR_PLIB,"IS for I dofs should be shorted"); 1747 ierr = ISSorted(is_B,&is_sorted);CHKERRQ(ierr); 1748 if (!is_sorted) SETERRQ(PetscObjectComm((PetscObject)is_B),PETSC_ERR_PLIB,"IS for B dofs should be shorted"); 1749 1750 /* reset any previous data */ 1751 ierr = PCBDDCSubSchursReset(sub_schurs);CHKERRQ(ierr); 1752 1753 /* get index sets for faces and edges (already sorted by global ordering) */ 1754 ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 1755 n_all_cc = n_faces+n_edges; 1756 ierr = PetscBTCreate(n_all_cc,&sub_schurs->is_edge);CHKERRQ(ierr); 1757 ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr); 1758 for (i=0;i<n_faces;i++) { 1759 if (copycc) { 1760 ierr = ISDuplicate(faces[i],&all_cc[i]);CHKERRQ(ierr); 1761 } else { 1762 ierr = PetscObjectReference((PetscObject)faces[i]);CHKERRQ(ierr); 1763 all_cc[i] = faces[i]; 1764 } 1765 } 1766 for (i=0;i<n_edges;i++) { 1767 if (copycc) { 1768 ierr = ISDuplicate(edges[i],&all_cc[n_faces+i]);CHKERRQ(ierr); 1769 } else { 1770 ierr = PetscObjectReference((PetscObject)edges[i]);CHKERRQ(ierr); 1771 all_cc[n_faces+i] = edges[i]; 1772 } 1773 ierr = PetscBTSet(sub_schurs->is_edge,n_faces+i);CHKERRQ(ierr); 1774 } 1775 ierr = PetscObjectReference((PetscObject)vertices);CHKERRQ(ierr); 1776 sub_schurs->is_vertices = vertices; 1777 ierr = PCBDDCGraphRestoreCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 1778 sub_schurs->is_dir = NULL; 1779 ierr = PCBDDCGraphGetDirichletDofsB(graph,&sub_schurs->is_dir);CHKERRQ(ierr); 1780 1781 /* Determine if MatFactor can be used */ 1782 ierr = PetscStrallocpy(prefix,&sub_schurs->prefix);CHKERRQ(ierr); 1783 #if defined(PETSC_HAVE_MUMPS) 1784 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERMUMPS,64);CHKERRQ(ierr); 1785 #elif defined(PETSC_HAVE_MKL_PARDISO) 1786 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERMKL_PARDISO,64);CHKERRQ(ierr); 1787 #else 1788 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERPETSC,64);CHKERRQ(ierr); 1789 #endif 1790 #if defined(PETSC_USE_COMPLEX) 1791 sub_schurs->is_hermitian = PETSC_FALSE; /* Hermitian Cholesky is not supported by PETSc and external packages */ 1792 #else 1793 sub_schurs->is_hermitian = PETSC_TRUE; 1794 #endif 1795 sub_schurs->is_posdef = PETSC_TRUE; 1796 sub_schurs->is_symmetric = PETSC_TRUE; 1797 sub_schurs->debug = PETSC_FALSE; 1798 sub_schurs->restrict_comm = PETSC_FALSE; 1799 ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)graph->l2gmap),sub_schurs->prefix,"BDDC sub_schurs options","PC");CHKERRQ(ierr); 1800 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); 1801 ierr = PetscOptionsBool("-sub_schurs_symmetric","Symmetric problem",NULL,sub_schurs->is_symmetric,&sub_schurs->is_symmetric,NULL);CHKERRQ(ierr); 1802 ierr = PetscOptionsBool("-sub_schurs_hermitian","Hermitian problem",NULL,sub_schurs->is_hermitian,&sub_schurs->is_hermitian,NULL);CHKERRQ(ierr); 1803 ierr = PetscOptionsBool("-sub_schurs_posdef","Positive definite problem",NULL,sub_schurs->is_posdef,&sub_schurs->is_posdef,NULL);CHKERRQ(ierr); 1804 ierr = PetscOptionsBool("-sub_schurs_restrictcomm","Restrict communicator on active processes only",NULL,sub_schurs->restrict_comm,&sub_schurs->restrict_comm,NULL);CHKERRQ(ierr); 1805 ierr = PetscOptionsBool("-sub_schurs_debug","Debug output",NULL,sub_schurs->debug,&sub_schurs->debug,NULL);CHKERRQ(ierr); 1806 ierr = PetscOptionsEnd();CHKERRQ(ierr); 1807 ierr = PetscStrcmp(sub_schurs->mat_solver_type,MATSOLVERPETSC,&ispetsc);CHKERRQ(ierr); 1808 sub_schurs->schur_explicit = (PetscBool)!ispetsc; 1809 1810 /* for reals, symmetric and hermitian are synonims */ 1811 #if !defined(PETSC_USE_COMPLEX) 1812 sub_schurs->is_symmetric = (PetscBool)(sub_schurs->is_symmetric && sub_schurs->is_hermitian); 1813 sub_schurs->is_hermitian = sub_schurs->is_symmetric; 1814 #endif 1815 1816 ierr = PetscObjectReference((PetscObject)is_I);CHKERRQ(ierr); 1817 sub_schurs->is_I = is_I; 1818 ierr = PetscObjectReference((PetscObject)is_B);CHKERRQ(ierr); 1819 sub_schurs->is_B = is_B; 1820 ierr = PetscObjectReference((PetscObject)graph->l2gmap);CHKERRQ(ierr); 1821 sub_schurs->l2gmap = graph->l2gmap; 1822 ierr = PetscObjectReference((PetscObject)BtoNmap);CHKERRQ(ierr); 1823 sub_schurs->BtoNmap = BtoNmap; 1824 sub_schurs->n_subs = n_all_cc; 1825 sub_schurs->is_subs = all_cc; 1826 sub_schurs->S_Ej_all = NULL; 1827 sub_schurs->sum_S_Ej_all = NULL; 1828 sub_schurs->sum_S_Ej_inv_all = NULL; 1829 sub_schurs->sum_S_Ej_tilda_all = NULL; 1830 sub_schurs->is_Ej_all = NULL; 1831 PetscFunctionReturn(0); 1832 } 1833 1834 PetscErrorCode PCBDDCSubSchursCreate(PCBDDCSubSchurs *sub_schurs) 1835 { 1836 PCBDDCSubSchurs schurs_ctx; 1837 PetscErrorCode ierr; 1838 1839 PetscFunctionBegin; 1840 ierr = PetscNew(&schurs_ctx);CHKERRQ(ierr); 1841 schurs_ctx->n_subs = 0; 1842 *sub_schurs = schurs_ctx; 1843 PetscFunctionReturn(0); 1844 } 1845 1846 PetscErrorCode PCBDDCSubSchursReset(PCBDDCSubSchurs sub_schurs) 1847 { 1848 PetscInt i; 1849 PetscErrorCode ierr; 1850 1851 PetscFunctionBegin; 1852 if (!sub_schurs) PetscFunctionReturn(0); 1853 ierr = PetscFree(sub_schurs->prefix);CHKERRQ(ierr); 1854 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 1855 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 1856 ierr = ISDestroy(&sub_schurs->is_I);CHKERRQ(ierr); 1857 ierr = ISDestroy(&sub_schurs->is_B);CHKERRQ(ierr); 1858 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->l2gmap);CHKERRQ(ierr); 1859 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->BtoNmap);CHKERRQ(ierr); 1860 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 1861 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1862 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1863 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1864 ierr = ISDestroy(&sub_schurs->is_Ej_all);CHKERRQ(ierr); 1865 ierr = ISDestroy(&sub_schurs->is_vertices);CHKERRQ(ierr); 1866 ierr = ISDestroy(&sub_schurs->is_dir);CHKERRQ(ierr); 1867 ierr = PetscBTDestroy(&sub_schurs->is_edge);CHKERRQ(ierr); 1868 for (i=0;i<sub_schurs->n_subs;i++) { 1869 ierr = ISDestroy(&sub_schurs->is_subs[i]);CHKERRQ(ierr); 1870 } 1871 if (sub_schurs->n_subs) { 1872 ierr = PetscFree(sub_schurs->is_subs);CHKERRQ(ierr); 1873 } 1874 if (sub_schurs->reuse_solver) { 1875 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 1876 } 1877 ierr = PetscFree(sub_schurs->reuse_solver);CHKERRQ(ierr); 1878 if (sub_schurs->change) { 1879 for (i=0;i<sub_schurs->n_subs;i++) { 1880 ierr = KSPDestroy(&sub_schurs->change[i]);CHKERRQ(ierr); 1881 ierr = ISDestroy(&sub_schurs->change_primal_sub[i]);CHKERRQ(ierr); 1882 } 1883 } 1884 ierr = PetscFree(sub_schurs->change);CHKERRQ(ierr); 1885 ierr = PetscFree(sub_schurs->change_primal_sub);CHKERRQ(ierr); 1886 sub_schurs->n_subs = 0; 1887 PetscFunctionReturn(0); 1888 } 1889 1890 PetscErrorCode PCBDDCSubSchursDestroy(PCBDDCSubSchurs* sub_schurs) 1891 { 1892 PetscErrorCode ierr; 1893 1894 PetscFunctionBegin; 1895 ierr = PCBDDCSubSchursReset(*sub_schurs);CHKERRQ(ierr); 1896 ierr = PetscFree(*sub_schurs);CHKERRQ(ierr); 1897 PetscFunctionReturn(0); 1898 } 1899 1900 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt* queue_tip,PetscInt n_prev,PetscBT touched,PetscInt* xadj,PetscInt* adjncy,PetscInt* n_added) 1901 { 1902 PetscInt i,j,n; 1903 PetscErrorCode ierr; 1904 1905 PetscFunctionBegin; 1906 n = 0; 1907 for (i=-n_prev;i<0;i++) { 1908 PetscInt start_dof = queue_tip[i]; 1909 for (j=xadj[start_dof];j<xadj[start_dof+1];j++) { 1910 PetscInt dof = adjncy[j]; 1911 if (!PetscBTLookup(touched,dof)) { 1912 ierr = PetscBTSet(touched,dof);CHKERRQ(ierr); 1913 queue_tip[n] = dof; 1914 n++; 1915 } 1916 } 1917 } 1918 *n_added = n; 1919 PetscFunctionReturn(0); 1920 } 1921