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 = PetscArraycpy(array2,array,nl);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 = PetscArraycpy(array_solver,array,n);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 = PetscArraycpy(array,array_solver,n);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 = PCComputeOperator(pc, MATDENSE, &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 PetscViewer matl_dbg_viewer = NULL; 420 PetscErrorCode ierr; 421 422 PetscFunctionBegin; 423 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 424 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 425 if (Ain) { 426 ierr = PetscObjectReference((PetscObject)Ain);CHKERRQ(ierr); 427 sub_schurs->A = Ain; 428 } 429 430 ierr = PetscObjectReference((PetscObject)Sin);CHKERRQ(ierr); 431 sub_schurs->S = Sin; 432 if (sub_schurs->schur_explicit) { 433 sub_schurs->schur_explicit = (PetscBool)(!!sub_schurs->A); 434 } 435 436 /* preliminary checks */ 437 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"); 438 439 if (benign_trick) sub_schurs->is_posdef = PETSC_FALSE; 440 441 /* debug (MATLAB) */ 442 if (sub_schurs->debug) { 443 PetscMPIInt size,rank; 444 PetscInt nr,*print_schurs_ranks,print_schurs = PETSC_FALSE; 445 PetscBool flg; 446 447 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&size);CHKERRQ(ierr); 448 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&rank);CHKERRQ(ierr); 449 nr = size; 450 ierr = PetscMalloc1(nr,&print_schurs_ranks);CHKERRQ(ierr); 451 ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)sub_schurs->l2gmap),sub_schurs->prefix,"BDDC sub_schurs options","PC");CHKERRQ(ierr); 452 ierr = PetscOptionsIntArray("-sub_schurs_debug_ranks","Ranks to debug (all if the option is not used)",NULL,print_schurs_ranks,&nr,&flg);CHKERRQ(ierr); 453 if (!flg) print_schurs = PETSC_TRUE; 454 else { 455 print_schurs = PETSC_FALSE; 456 for (i=0;i<nr;i++) if (print_schurs_ranks[i] == (PetscInt)rank) { print_schurs = PETSC_TRUE; break; } 457 } 458 ierr = PetscOptionsEnd();CHKERRQ(ierr); 459 ierr = PetscFree(print_schurs_ranks);CHKERRQ(ierr); 460 if (print_schurs) { 461 char filename[256]; 462 463 ierr = PetscSNPrintf(filename,sizeof(filename),"sub_schurs_Schur_r%d.m",PetscGlobalRank);CHKERRQ(ierr); 464 ierr = PetscViewerASCIIOpen(PETSC_COMM_SELF,filename,&matl_dbg_viewer);CHKERRQ(ierr); 465 ierr = PetscViewerPushFormat(matl_dbg_viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 466 } 467 } 468 469 470 /* restrict work on active processes */ 471 if (sub_schurs->restrict_comm) { 472 PetscSubcomm subcomm; 473 PetscMPIInt color,rank; 474 475 color = 0; 476 if (!sub_schurs->n_subs) color = 1; /* this can happen if we are in a multilevel case or if the subdomain is disconnected */ 477 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&rank);CHKERRQ(ierr); 478 ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&subcomm);CHKERRQ(ierr); 479 ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr); 480 ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr); 481 ierr = PetscCommDuplicate(PetscSubcommChild(subcomm),&comm_n,NULL);CHKERRQ(ierr); 482 ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr); 483 if (!sub_schurs->n_subs) { 484 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 485 PetscFunctionReturn(0); 486 } 487 } else { 488 ierr = PetscCommDuplicate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&comm_n,NULL);CHKERRQ(ierr); 489 } 490 491 /* get Schur complement matrices */ 492 if (!sub_schurs->schur_explicit) { 493 Mat tA_IB,tA_BI,tA_BB; 494 PetscBool isseqsbaij; 495 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,&tA_IB,&tA_BI,&tA_BB);CHKERRQ(ierr); 496 ierr = PetscObjectTypeCompare((PetscObject)tA_BB,MATSEQSBAIJ,&isseqsbaij);CHKERRQ(ierr); 497 if (isseqsbaij) { 498 ierr = MatConvert(tA_BB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BB);CHKERRQ(ierr); 499 ierr = MatConvert(tA_IB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr); 500 ierr = MatConvert(tA_BI,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr); 501 } else { 502 ierr = PetscObjectReference((PetscObject)tA_BB);CHKERRQ(ierr); 503 A_BB = tA_BB; 504 ierr = PetscObjectReference((PetscObject)tA_IB);CHKERRQ(ierr); 505 A_IB = tA_IB; 506 ierr = PetscObjectReference((PetscObject)tA_BI);CHKERRQ(ierr); 507 A_BI = tA_BI; 508 } 509 } else { 510 A_II = NULL; 511 A_IB = NULL; 512 A_BI = NULL; 513 A_BB = NULL; 514 } 515 S_all = NULL; 516 517 /* determine interior problems */ 518 ierr = ISGetLocalSize(sub_schurs->is_I,&i);CHKERRQ(ierr); 519 if (nlayers >= 0 && i) { /* Interior problems can be different from the original one */ 520 PetscBT touched; 521 const PetscInt* idx_B; 522 PetscInt n_I,n_B,n_local_dofs,n_prev_added,j,layer,*local_numbering; 523 524 if (!xadj) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Cannot request layering without adjacency"); 525 /* get sizes */ 526 ierr = ISGetLocalSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 527 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 528 529 ierr = PetscMalloc1(n_I+n_B,&local_numbering);CHKERRQ(ierr); 530 ierr = PetscBTCreate(n_I+n_B,&touched);CHKERRQ(ierr); 531 ierr = PetscBTMemzero(n_I+n_B,touched);CHKERRQ(ierr); 532 533 /* all boundary dofs must be skipped when adding layers */ 534 ierr = ISGetIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 535 for (j=0;j<n_B;j++) { 536 ierr = PetscBTSet(touched,idx_B[j]);CHKERRQ(ierr); 537 } 538 ierr = PetscArraycpy(local_numbering,idx_B,n_B);CHKERRQ(ierr); 539 ierr = ISRestoreIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 540 541 /* add prescribed number of layers of dofs */ 542 n_local_dofs = n_B; 543 n_prev_added = n_B; 544 for (layer=0;layer<nlayers;layer++) { 545 PetscInt n_added; 546 if (n_local_dofs == n_I+n_B) break; 547 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); 548 ierr = PCBDDCAdjGetNextLayer_Private(local_numbering+n_local_dofs,n_prev_added,touched,xadj,adjncy,&n_added);CHKERRQ(ierr); 549 n_prev_added = n_added; 550 n_local_dofs += n_added; 551 if (!n_added) break; 552 } 553 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 554 555 /* IS for I layer dofs in original numbering */ 556 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); 557 ierr = PetscFree(local_numbering);CHKERRQ(ierr); 558 ierr = ISSort(is_I_layer);CHKERRQ(ierr); 559 /* IS for I layer dofs in I numbering */ 560 if (!sub_schurs->schur_explicit) { 561 ISLocalToGlobalMapping ItoNmap; 562 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_I,&ItoNmap);CHKERRQ(ierr); 563 ierr = ISGlobalToLocalMappingApplyIS(ItoNmap,IS_GTOLM_DROP,is_I_layer,&is_I);CHKERRQ(ierr); 564 ierr = ISLocalToGlobalMappingDestroy(&ItoNmap);CHKERRQ(ierr); 565 566 /* II block */ 567 ierr = MatCreateSubMatrix(A_II,is_I,is_I,MAT_INITIAL_MATRIX,&AE_II);CHKERRQ(ierr); 568 } 569 } else { 570 PetscInt n_I; 571 572 /* IS for I dofs in original numbering */ 573 ierr = PetscObjectReference((PetscObject)sub_schurs->is_I);CHKERRQ(ierr); 574 is_I_layer = sub_schurs->is_I; 575 576 /* IS for I dofs in I numbering (strided 1) */ 577 if (!sub_schurs->schur_explicit) { 578 ierr = ISGetSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 579 ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),n_I,0,1,&is_I);CHKERRQ(ierr); 580 581 /* II block is the same */ 582 ierr = PetscObjectReference((PetscObject)A_II);CHKERRQ(ierr); 583 AE_II = A_II; 584 } 585 } 586 587 /* Get info on subset sizes and sum of all subsets sizes */ 588 max_subset_size = 0; 589 local_size = 0; 590 for (i=0;i<sub_schurs->n_subs;i++) { 591 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 592 max_subset_size = PetscMax(subset_size,max_subset_size); 593 local_size += subset_size; 594 } 595 596 /* Work arrays for local indices */ 597 extra = 0; 598 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 599 if (sub_schurs->schur_explicit && is_I_layer) { 600 ierr = ISGetLocalSize(is_I_layer,&extra);CHKERRQ(ierr); 601 } 602 ierr = PetscMalloc1(n_B+extra,&all_local_idx_N);CHKERRQ(ierr); 603 if (extra) { 604 const PetscInt *idxs; 605 ierr = ISGetIndices(is_I_layer,&idxs);CHKERRQ(ierr); 606 ierr = PetscArraycpy(all_local_idx_N,idxs,extra);CHKERRQ(ierr); 607 ierr = ISRestoreIndices(is_I_layer,&idxs);CHKERRQ(ierr); 608 } 609 ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr); 610 ierr = PetscMalloc1(sub_schurs->n_subs,&auxnum1);CHKERRQ(ierr); 611 ierr = PetscMalloc1(sub_schurs->n_subs,&auxnum2);CHKERRQ(ierr); 612 613 /* Get local indices in local numbering */ 614 local_size = 0; 615 for (i=0;i<sub_schurs->n_subs;i++) { 616 PetscInt j; 617 const PetscInt *idxs; 618 619 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 620 ierr = ISGetIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 621 /* start (smallest in global ordering) and multiplicity */ 622 auxnum1[i] = idxs[0]; 623 auxnum2[i] = subset_size; 624 /* subset indices in local numbering */ 625 ierr = PetscArraycpy(all_local_idx_N+local_size+extra,idxs,subset_size);CHKERRQ(ierr); 626 ierr = ISRestoreIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 627 for (j=0;j<subset_size;j++) nnz[local_size+j] = subset_size; 628 local_size += subset_size; 629 } 630 631 /* allocate extra workspace needed only for GETRI or SYTRF */ 632 use_potr = use_sytr = PETSC_FALSE; 633 if (benign_trick || (sub_schurs->is_hermitian && sub_schurs->is_posdef)) { 634 use_potr = PETSC_TRUE; 635 } else if (sub_schurs->is_symmetric) { 636 use_sytr = PETSC_TRUE; 637 } 638 if (local_size && !use_potr) { 639 PetscScalar lwork,dummyscalar = 0.; 640 PetscBLASInt dummyint = 0; 641 642 B_lwork = -1; 643 ierr = PetscBLASIntCast(local_size,&B_N);CHKERRQ(ierr); 644 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 645 if (use_sytr) { 646 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,&dummyscalar,&B_N,&dummyint,&lwork,&B_lwork,&B_ierr)); 647 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYTRF Lapack routine %d",(int)B_ierr); 648 } else { 649 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,&dummyscalar,&B_N,&dummyint,&lwork,&B_lwork,&B_ierr)); 650 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr); 651 } 652 ierr = PetscFPTrapPop();CHKERRQ(ierr); 653 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&B_lwork);CHKERRQ(ierr); 654 ierr = PetscMalloc2(B_lwork,&Bwork,B_N,&pivots);CHKERRQ(ierr); 655 } else { 656 Bwork = NULL; 657 pivots = NULL; 658 } 659 660 /* prepare parallel matrices for summing up properly schurs on subsets */ 661 ierr = ISCreateGeneral(comm_n,sub_schurs->n_subs,auxnum1,PETSC_OWN_POINTER,&all_subsets_n);CHKERRQ(ierr); 662 ierr = ISLocalToGlobalMappingApplyIS(sub_schurs->l2gmap,all_subsets_n,&all_subsets);CHKERRQ(ierr); 663 ierr = ISDestroy(&all_subsets_n);CHKERRQ(ierr); 664 ierr = ISCreateGeneral(comm_n,sub_schurs->n_subs,auxnum2,PETSC_OWN_POINTER,&all_subsets_mult);CHKERRQ(ierr); 665 ierr = ISRenumber(all_subsets,all_subsets_mult,&global_size,&all_subsets_n);CHKERRQ(ierr); 666 ierr = ISDestroy(&all_subsets);CHKERRQ(ierr); 667 ierr = ISDestroy(&all_subsets_mult);CHKERRQ(ierr); 668 ierr = ISGetLocalSize(all_subsets_n,&i);CHKERRQ(ierr); 669 if (i != local_size) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Invalid size of new subset! %D != %D",i,local_size); 670 ierr = ISLocalToGlobalMappingCreateIS(all_subsets_n,&l2gmap_subsets);CHKERRQ(ierr); 671 ierr = MatCreateIS(comm_n,1,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size,l2gmap_subsets,NULL,&work_mat);CHKERRQ(ierr); 672 ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subsets);CHKERRQ(ierr); 673 ierr = MatCreate(PetscObjectComm((PetscObject)work_mat),&global_schur_subsets);CHKERRQ(ierr); 674 ierr = MatSetSizes(global_schur_subsets,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size);CHKERRQ(ierr); 675 ierr = MatSetType(global_schur_subsets,MATMPIAIJ);CHKERRQ(ierr); 676 677 /* subset indices in local boundary numbering */ 678 if (!sub_schurs->is_Ej_all) { 679 PetscInt *all_local_idx_B; 680 681 ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr); 682 ierr = ISGlobalToLocalMappingApply(sub_schurs->BtoNmap,IS_GTOLM_DROP,local_size,all_local_idx_N+extra,&subset_size,all_local_idx_B);CHKERRQ(ierr); 683 if (subset_size != local_size) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in sub_schurs serial (BtoNmap)! %D != %D",subset_size,local_size); 684 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&sub_schurs->is_Ej_all);CHKERRQ(ierr); 685 } 686 687 if (change) { 688 ISLocalToGlobalMapping BtoS; 689 IS change_primal_B; 690 IS change_primal_all; 691 692 if (sub_schurs->change_primal_sub) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 693 if (sub_schurs->change) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 694 ierr = PetscMalloc1(sub_schurs->n_subs,&sub_schurs->change_primal_sub);CHKERRQ(ierr); 695 for (i=0;i<sub_schurs->n_subs;i++) { 696 ISLocalToGlobalMapping NtoS; 697 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_subs[i],&NtoS);CHKERRQ(ierr); 698 ierr = ISGlobalToLocalMappingApplyIS(NtoS,IS_GTOLM_DROP,change_primal,&sub_schurs->change_primal_sub[i]);CHKERRQ(ierr); 699 ierr = ISLocalToGlobalMappingDestroy(&NtoS);CHKERRQ(ierr); 700 } 701 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,change_primal,&change_primal_B);CHKERRQ(ierr); 702 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_Ej_all,&BtoS);CHKERRQ(ierr); 703 ierr = ISGlobalToLocalMappingApplyIS(BtoS,IS_GTOLM_DROP,change_primal_B,&change_primal_all);CHKERRQ(ierr); 704 ierr = ISLocalToGlobalMappingDestroy(&BtoS);CHKERRQ(ierr); 705 ierr = ISDestroy(&change_primal_B);CHKERRQ(ierr); 706 ierr = PetscMalloc1(sub_schurs->n_subs,&sub_schurs->change);CHKERRQ(ierr); 707 for (i=0;i<sub_schurs->n_subs;i++) { 708 Mat change_sub; 709 710 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 711 ierr = KSPCreate(PETSC_COMM_SELF,&sub_schurs->change[i]);CHKERRQ(ierr); 712 ierr = KSPSetType(sub_schurs->change[i],KSPPREONLY);CHKERRQ(ierr); 713 if (!sub_schurs->change_with_qr) { 714 ierr = MatCreateSubMatrix(change,sub_schurs->is_subs[i],sub_schurs->is_subs[i],MAT_INITIAL_MATRIX,&change_sub);CHKERRQ(ierr); 715 } else { 716 Mat change_subt; 717 ierr = MatCreateSubMatrix(change,sub_schurs->is_subs[i],sub_schurs->is_subs[i],MAT_INITIAL_MATRIX,&change_subt);CHKERRQ(ierr); 718 ierr = MatConvert(change_subt,MATSEQDENSE,MAT_INITIAL_MATRIX,&change_sub);CHKERRQ(ierr); 719 ierr = MatDestroy(&change_subt);CHKERRQ(ierr); 720 } 721 ierr = KSPSetOperators(sub_schurs->change[i],change_sub,change_sub);CHKERRQ(ierr); 722 ierr = MatDestroy(&change_sub);CHKERRQ(ierr); 723 ierr = KSPSetOptionsPrefix(sub_schurs->change[i],sub_schurs->prefix);CHKERRQ(ierr); 724 ierr = KSPAppendOptionsPrefix(sub_schurs->change[i],"sub_schurs_change_");CHKERRQ(ierr); 725 } 726 ierr = ISDestroy(&change_primal_all);CHKERRQ(ierr); 727 } 728 729 /* Local matrix of all local Schur on subsets (transposed) */ 730 if (!sub_schurs->S_Ej_all) { 731 ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->S_Ej_all);CHKERRQ(ierr); 732 ierr = MatSetSizes(sub_schurs->S_Ej_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 733 ierr = MatSetType(sub_schurs->S_Ej_all,MATAIJ);CHKERRQ(ierr); 734 ierr = MatSeqAIJSetPreallocation(sub_schurs->S_Ej_all,0,nnz);CHKERRQ(ierr); 735 } 736 737 /* Compute Schur complements explicitly */ 738 F = NULL; 739 if (!sub_schurs->schur_explicit) { 740 /* this code branch is used when MatFactor with Schur complement support is not present or when explicitly requested; 741 it is not efficient, unless the economic version of the scaling is used */ 742 Mat S_Ej_expl; 743 PetscScalar *work; 744 PetscInt j,*dummy_idx; 745 PetscBool Sdense; 746 747 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 748 local_size = 0; 749 for (i=0;i<sub_schurs->n_subs;i++) { 750 IS is_subset_B; 751 Mat AE_EE,AE_IE,AE_EI,S_Ej; 752 753 /* subsets in original and boundary numbering */ 754 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_subs[i],&is_subset_B);CHKERRQ(ierr); 755 /* EE block */ 756 ierr = MatCreateSubMatrix(A_BB,is_subset_B,is_subset_B,MAT_INITIAL_MATRIX,&AE_EE);CHKERRQ(ierr); 757 /* IE block */ 758 ierr = MatCreateSubMatrix(A_IB,is_I,is_subset_B,MAT_INITIAL_MATRIX,&AE_IE);CHKERRQ(ierr); 759 /* EI block */ 760 if (sub_schurs->is_symmetric) { 761 ierr = MatCreateTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 762 } else if (sub_schurs->is_hermitian) { 763 ierr = MatCreateHermitianTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 764 } else { 765 ierr = MatCreateSubMatrix(A_BI,is_subset_B,is_I,MAT_INITIAL_MATRIX,&AE_EI);CHKERRQ(ierr); 766 } 767 ierr = ISDestroy(&is_subset_B);CHKERRQ(ierr); 768 ierr = MatCreateSchurComplement(AE_II,AE_II,AE_IE,AE_EI,AE_EE,&S_Ej);CHKERRQ(ierr); 769 ierr = MatDestroy(&AE_EE);CHKERRQ(ierr); 770 ierr = MatDestroy(&AE_IE);CHKERRQ(ierr); 771 ierr = MatDestroy(&AE_EI);CHKERRQ(ierr); 772 if (AE_II == A_II) { /* we can reuse the same ksp */ 773 KSP ksp; 774 ierr = MatSchurComplementGetKSP(sub_schurs->S,&ksp);CHKERRQ(ierr); 775 ierr = MatSchurComplementSetKSP(S_Ej,ksp);CHKERRQ(ierr); 776 } else { /* build new ksp object which inherits ksp and pc types from the original one */ 777 KSP origksp,schurksp; 778 PC origpc,schurpc; 779 KSPType ksp_type; 780 PetscInt n_internal; 781 PetscBool ispcnone; 782 783 ierr = MatSchurComplementGetKSP(sub_schurs->S,&origksp);CHKERRQ(ierr); 784 ierr = MatSchurComplementGetKSP(S_Ej,&schurksp);CHKERRQ(ierr); 785 ierr = KSPGetType(origksp,&ksp_type);CHKERRQ(ierr); 786 ierr = KSPSetType(schurksp,ksp_type);CHKERRQ(ierr); 787 ierr = KSPGetPC(schurksp,&schurpc);CHKERRQ(ierr); 788 ierr = KSPGetPC(origksp,&origpc);CHKERRQ(ierr); 789 ierr = PetscObjectTypeCompare((PetscObject)origpc,PCNONE,&ispcnone);CHKERRQ(ierr); 790 if (!ispcnone) { 791 PCType pc_type; 792 ierr = PCGetType(origpc,&pc_type);CHKERRQ(ierr); 793 ierr = PCSetType(schurpc,pc_type);CHKERRQ(ierr); 794 } else { 795 ierr = PCSetType(schurpc,PCLU);CHKERRQ(ierr); 796 } 797 ierr = ISGetSize(is_I,&n_internal);CHKERRQ(ierr); 798 if (n_internal) { /* UMFPACK gives error with 0 sized problems */ 799 MatSolverType solver = NULL; 800 ierr = PCFactorGetMatSolverType(origpc,(MatSolverType*)&solver);CHKERRQ(ierr); 801 if (solver) { 802 ierr = PCFactorSetMatSolverType(schurpc,solver);CHKERRQ(ierr); 803 } 804 } 805 ierr = KSPSetUp(schurksp);CHKERRQ(ierr); 806 } 807 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 808 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej_expl);CHKERRQ(ierr); 809 ierr = PCBDDCComputeExplicitSchur(S_Ej,sub_schurs->is_symmetric,MAT_REUSE_MATRIX,&S_Ej_expl);CHKERRQ(ierr); 810 ierr = PetscObjectTypeCompare((PetscObject)S_Ej_expl,MATSEQDENSE,&Sdense);CHKERRQ(ierr); 811 if (Sdense) { 812 for (j=0;j<subset_size;j++) { 813 dummy_idx[j]=local_size+j; 814 } 815 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 816 } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet implemented for sparse matrices"); 817 ierr = MatDestroy(&S_Ej);CHKERRQ(ierr); 818 ierr = MatDestroy(&S_Ej_expl);CHKERRQ(ierr); 819 local_size += subset_size; 820 } 821 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 822 /* free */ 823 ierr = ISDestroy(&is_I);CHKERRQ(ierr); 824 ierr = MatDestroy(&AE_II);CHKERRQ(ierr); 825 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 826 } else { 827 Mat A,cs_AIB_mat = NULL,benign_AIIm1_ones_mat = NULL; 828 Vec Dall = NULL; 829 IS is_A_all,*is_p_r = NULL; 830 MatType Stype; 831 PetscScalar *work,*S_data,*schur_factor,infty = PETSC_MAX_REAL; 832 const PetscScalar *rS_data; 833 PetscInt n,n_I,*dummy_idx,size_schur,size_active_schur,cum,cum2; 834 PetscBool economic,solver_S,S_lower_triangular = PETSC_FALSE; 835 PetscBool schur_has_vertices,factor_workaround; 836 PetscBool use_cholesky; 837 #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA) 838 PetscBool oldpin; 839 #endif 840 841 /* get sizes */ 842 n_I = 0; 843 if (is_I_layer) { 844 ierr = ISGetLocalSize(is_I_layer,&n_I);CHKERRQ(ierr); 845 } 846 economic = PETSC_FALSE; 847 ierr = ISGetLocalSize(sub_schurs->is_I,&cum);CHKERRQ(ierr); 848 if (cum != n_I) economic = PETSC_TRUE; 849 ierr = MatGetLocalSize(sub_schurs->A,&n,NULL);CHKERRQ(ierr); 850 size_active_schur = local_size; 851 852 /* import scaling vector (wrong formulation if we have 3D edges) */ 853 if (scaling && compute_Stilda) { 854 const PetscScalar *array; 855 PetscScalar *array2; 856 const PetscInt *idxs; 857 PetscInt i; 858 859 ierr = ISGetIndices(sub_schurs->is_Ej_all,&idxs);CHKERRQ(ierr); 860 ierr = VecCreateSeq(PETSC_COMM_SELF,size_active_schur,&Dall);CHKERRQ(ierr); 861 ierr = VecGetArrayRead(scaling,&array);CHKERRQ(ierr); 862 ierr = VecGetArray(Dall,&array2);CHKERRQ(ierr); 863 for (i=0;i<size_active_schur;i++) array2[i] = array[idxs[i]]; 864 ierr = VecRestoreArray(Dall,&array2);CHKERRQ(ierr); 865 ierr = VecRestoreArrayRead(scaling,&array);CHKERRQ(ierr); 866 ierr = ISRestoreIndices(sub_schurs->is_Ej_all,&idxs);CHKERRQ(ierr); 867 deluxe = PETSC_FALSE; 868 } 869 870 /* size active schurs does not count any dirichlet or vertex dof on the interface */ 871 factor_workaround = PETSC_FALSE; 872 schur_has_vertices = PETSC_FALSE; 873 cum = n_I+size_active_schur; 874 if (sub_schurs->is_dir) { 875 const PetscInt* idxs; 876 PetscInt n_dir; 877 878 ierr = ISGetLocalSize(sub_schurs->is_dir,&n_dir);CHKERRQ(ierr); 879 ierr = ISGetIndices(sub_schurs->is_dir,&idxs);CHKERRQ(ierr); 880 ierr = PetscArraycpy(all_local_idx_N+cum,idxs,n_dir);CHKERRQ(ierr); 881 ierr = ISRestoreIndices(sub_schurs->is_dir,&idxs);CHKERRQ(ierr); 882 cum += n_dir; 883 factor_workaround = PETSC_TRUE; 884 } 885 /* include the primal vertices in the Schur complement */ 886 if (exact_schur && sub_schurs->is_vertices && (compute_Stilda || benign_n)) { 887 PetscInt n_v; 888 889 ierr = ISGetLocalSize(sub_schurs->is_vertices,&n_v);CHKERRQ(ierr); 890 if (n_v) { 891 const PetscInt* idxs; 892 893 ierr = ISGetIndices(sub_schurs->is_vertices,&idxs);CHKERRQ(ierr); 894 ierr = PetscArraycpy(all_local_idx_N+cum,idxs,n_v);CHKERRQ(ierr); 895 ierr = ISRestoreIndices(sub_schurs->is_vertices,&idxs);CHKERRQ(ierr); 896 cum += n_v; 897 factor_workaround = PETSC_TRUE; 898 schur_has_vertices = PETSC_TRUE; 899 } 900 } 901 size_schur = cum - n_I; 902 ierr = ISCreateGeneral(PETSC_COMM_SELF,cum,all_local_idx_N,PETSC_OWN_POINTER,&is_A_all);CHKERRQ(ierr); 903 #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA) 904 oldpin = sub_schurs->A->pinnedtocpu; 905 ierr = MatPinToCPU(sub_schurs->A,PETSC_TRUE);CHKERRQ(ierr); 906 #endif 907 if (cum == n) { 908 ierr = ISSetPermutation(is_A_all);CHKERRQ(ierr); 909 ierr = MatPermute(sub_schurs->A,is_A_all,is_A_all,&A);CHKERRQ(ierr); 910 } else { 911 ierr = MatCreateSubMatrix(sub_schurs->A,is_A_all,is_A_all,MAT_INITIAL_MATRIX,&A);CHKERRQ(ierr); 912 } 913 #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA) 914 ierr = MatPinToCPU(sub_schurs->A,oldpin);CHKERRQ(ierr); 915 #endif 916 ierr = MatSetOptionsPrefix(A,sub_schurs->prefix);CHKERRQ(ierr); 917 ierr = MatAppendOptionsPrefix(A,"sub_schurs_");CHKERRQ(ierr); 918 919 /* if we actually change the basis for the pressures, LDL^T factors will use a lot of memory 920 this is a workaround */ 921 if (benign_n) { 922 Vec v,benign_AIIm1_ones; 923 ISLocalToGlobalMapping N_to_reor; 924 IS is_p0,is_p0_p; 925 PetscScalar *cs_AIB,*AIIm1_data; 926 PetscInt sizeA; 927 928 ierr = ISLocalToGlobalMappingCreateIS(is_A_all,&N_to_reor);CHKERRQ(ierr); 929 ierr = ISCreateGeneral(PETSC_COMM_SELF,benign_n,benign_p0_lidx,PETSC_COPY_VALUES,&is_p0);CHKERRQ(ierr); 930 ierr = ISGlobalToLocalMappingApplyIS(N_to_reor,IS_GTOLM_DROP,is_p0,&is_p0_p);CHKERRQ(ierr); 931 ierr = ISDestroy(&is_p0);CHKERRQ(ierr); 932 ierr = MatCreateVecs(A,&v,&benign_AIIm1_ones);CHKERRQ(ierr); 933 ierr = VecGetSize(v,&sizeA);CHKERRQ(ierr); 934 ierr = MatCreateSeqDense(PETSC_COMM_SELF,sizeA,benign_n,NULL,&benign_AIIm1_ones_mat);CHKERRQ(ierr); 935 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_schur,benign_n,NULL,&cs_AIB_mat);CHKERRQ(ierr); 936 ierr = MatDenseGetArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 937 ierr = MatDenseGetArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 938 ierr = PetscMalloc1(benign_n,&is_p_r);CHKERRQ(ierr); 939 /* compute colsum of A_IB restricted to pressures */ 940 for (i=0;i<benign_n;i++) { 941 const PetscScalar *array; 942 const PetscInt *idxs; 943 PetscInt j,nz; 944 945 ierr = ISGlobalToLocalMappingApplyIS(N_to_reor,IS_GTOLM_DROP,benign_zerodiag_subs[i],&is_p_r[i]);CHKERRQ(ierr); 946 ierr = ISGetLocalSize(is_p_r[i],&nz);CHKERRQ(ierr); 947 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 948 for (j=0;j<nz;j++) AIIm1_data[idxs[j]+sizeA*i] = 1.; 949 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 950 ierr = VecPlaceArray(benign_AIIm1_ones,AIIm1_data+sizeA*i);CHKERRQ(ierr); 951 ierr = MatMult(A,benign_AIIm1_ones,v);CHKERRQ(ierr); 952 ierr = VecResetArray(benign_AIIm1_ones);CHKERRQ(ierr); 953 ierr = VecGetArrayRead(v,&array);CHKERRQ(ierr); 954 for (j=0;j<size_schur;j++) { 955 #if defined(PETSC_USE_COMPLEX) 956 cs_AIB[i*size_schur + j] = (PetscRealPart(array[j+n_I])/nz + PETSC_i*(PetscImaginaryPart(array[j+n_I])/nz)); 957 #else 958 cs_AIB[i*size_schur + j] = array[j+n_I]/nz; 959 #endif 960 } 961 ierr = VecRestoreArrayRead(v,&array);CHKERRQ(ierr); 962 } 963 ierr = MatDenseRestoreArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 964 ierr = MatDenseRestoreArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 965 ierr = VecDestroy(&v);CHKERRQ(ierr); 966 ierr = VecDestroy(&benign_AIIm1_ones);CHKERRQ(ierr); 967 ierr = MatSetOption(A,MAT_KEEP_NONZERO_PATTERN,PETSC_FALSE);CHKERRQ(ierr); 968 ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr); 969 ierr = MatSetOption(A,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr); 970 ierr = MatZeroRowsColumnsIS(A,is_p0_p,1.0,NULL,NULL);CHKERRQ(ierr); 971 ierr = ISDestroy(&is_p0_p);CHKERRQ(ierr); 972 ierr = ISLocalToGlobalMappingDestroy(&N_to_reor);CHKERRQ(ierr); 973 } 974 ierr = MatSetOption(A,MAT_SYMMETRIC,sub_schurs->is_symmetric);CHKERRQ(ierr); 975 ierr = MatSetOption(A,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr); 976 ierr = MatSetOption(A,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr); 977 978 /* for complexes, symmetric and hermitian at the same time implies null imaginary part */ 979 use_cholesky = (PetscBool)((use_potr || use_sytr) && sub_schurs->is_hermitian && sub_schurs->is_symmetric); 980 981 /* when using the benign subspace trick, the local Schur complements are SPD */ 982 if (benign_trick) sub_schurs->is_posdef = PETSC_TRUE; 983 984 if (n_I) { 985 IS is_schur; 986 char stype[64]; 987 PetscBool gpu; 988 989 if (use_cholesky) { 990 ierr = MatGetFactor(A,sub_schurs->mat_solver_type,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr); 991 } else { 992 ierr = MatGetFactor(A,sub_schurs->mat_solver_type,MAT_FACTOR_LU,&F);CHKERRQ(ierr); 993 } 994 ierr = MatSetErrorIfFailure(A,PETSC_TRUE);CHKERRQ(ierr); 995 996 /* subsets ordered last */ 997 ierr = ISCreateStride(PETSC_COMM_SELF,size_schur,n_I,1,&is_schur);CHKERRQ(ierr); 998 ierr = MatFactorSetSchurIS(F,is_schur);CHKERRQ(ierr); 999 ierr = ISDestroy(&is_schur);CHKERRQ(ierr); 1000 1001 /* factorization step */ 1002 if (use_cholesky) { 1003 ierr = MatCholeskyFactorSymbolic(F,A,NULL,NULL);CHKERRQ(ierr); 1004 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */ 1005 ierr = MatMumpsSetIcntl(F,19,2);CHKERRQ(ierr); 1006 #endif 1007 ierr = MatCholeskyFactorNumeric(F,A,NULL);CHKERRQ(ierr); 1008 S_lower_triangular = PETSC_TRUE; 1009 } else { 1010 ierr = MatLUFactorSymbolic(F,A,NULL,NULL,NULL);CHKERRQ(ierr); 1011 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */ 1012 ierr = MatMumpsSetIcntl(F,19,3);CHKERRQ(ierr); 1013 #endif 1014 ierr = MatLUFactorNumeric(F,A,NULL);CHKERRQ(ierr); 1015 } 1016 ierr = MatViewFromOptions(F,(PetscObject)A,"-mat_factor_view");CHKERRQ(ierr); 1017 1018 if (matl_dbg_viewer) { 1019 Mat S; 1020 IS is; 1021 1022 ierr = PetscObjectSetName((PetscObject)A,"A");CHKERRQ(ierr); 1023 ierr = MatView(A,matl_dbg_viewer);CHKERRQ(ierr); 1024 ierr = MatFactorCreateSchurComplement(F,&S,NULL);CHKERRQ(ierr); 1025 ierr = PetscObjectSetName((PetscObject)S,"S");CHKERRQ(ierr); 1026 ierr = MatView(S,matl_dbg_viewer);CHKERRQ(ierr); 1027 ierr = MatDestroy(&S);CHKERRQ(ierr); 1028 ierr = ISCreateStride(PETSC_COMM_SELF,n_I,0,1,&is);CHKERRQ(ierr); 1029 ierr = PetscObjectSetName((PetscObject)is,"I");CHKERRQ(ierr); 1030 ierr = ISView(is,matl_dbg_viewer);CHKERRQ(ierr); 1031 ierr = ISDestroy(&is);CHKERRQ(ierr); 1032 ierr = ISCreateStride(PETSC_COMM_SELF,size_schur,n_I,1,&is);CHKERRQ(ierr); 1033 ierr = PetscObjectSetName((PetscObject)is,"B");CHKERRQ(ierr); 1034 ierr = ISView(is,matl_dbg_viewer);CHKERRQ(ierr); 1035 ierr = ISDestroy(&is);CHKERRQ(ierr); 1036 ierr = PetscObjectSetName((PetscObject)is_A_all,"IA");CHKERRQ(ierr); 1037 ierr = ISView(is_A_all,matl_dbg_viewer);CHKERRQ(ierr); 1038 } 1039 1040 /* get explicit Schur Complement computed during numeric factorization */ 1041 ierr = MatFactorGetSchurComplement(F,&S_all,NULL);CHKERRQ(ierr); 1042 ierr = PetscStrncpy(stype,MATSEQDENSE,sizeof(stype));CHKERRQ(ierr); 1043 ierr = PetscObjectTypeCompareAny((PetscObject)A,&gpu,MATSEQAIJVIENNACL,MATSEQAIJCUSPARSE,"");CHKERRQ(ierr); 1044 if (gpu) { 1045 ierr = PetscStrncpy(stype,MATSEQDENSECUDA,sizeof(stype));CHKERRQ(ierr); 1046 } 1047 ierr = PetscOptionsGetString(NULL,sub_schurs->prefix,"-sub_schurs_schur_mat_type",stype,sizeof(stype),NULL);CHKERRQ(ierr); 1048 ierr = MatConvert(S_all,stype,MAT_INPLACE_MATRIX,&S_all);CHKERRQ(ierr); 1049 ierr = MatSetOption(S_all,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr); 1050 ierr = MatSetOption(S_all,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr); 1051 ierr = MatGetType(S_all,&Stype);CHKERRQ(ierr); 1052 1053 /* we can reuse the solvers if we are not using the economic version */ 1054 reuse_solvers = (PetscBool)(reuse_solvers && !economic); 1055 factor_workaround = (PetscBool)(reuse_solvers && factor_workaround); 1056 if (!sub_schurs->is_posdef && factor_workaround && compute_Stilda && size_active_schur) 1057 reuse_solvers = factor_workaround = PETSC_FALSE; 1058 1059 solver_S = PETSC_TRUE; 1060 1061 /* update the Schur complement with the change of basis on the pressures */ 1062 if (benign_n) { 1063 const PetscScalar *cs_AIB; 1064 PetscScalar *S_data,*AIIm1_data; 1065 Mat S2 = NULL,S3 = NULL; /* dbg */ 1066 PetscScalar *S2_data,*S3_data; /* dbg */ 1067 Vec v,benign_AIIm1_ones; 1068 PetscInt sizeA; 1069 1070 ierr = MatDenseGetArray(S_all,&S_data);CHKERRQ(ierr); 1071 ierr = MatCreateVecs(A,&v,&benign_AIIm1_ones);CHKERRQ(ierr); 1072 ierr = VecGetSize(v,&sizeA);CHKERRQ(ierr); 1073 #if defined(PETSC_HAVE_MUMPS) 1074 ierr = MatMumpsSetIcntl(F,26,0);CHKERRQ(ierr); 1075 #endif 1076 #if defined(PETSC_HAVE_MKL_PARDISO) 1077 ierr = MatMkl_PardisoSetCntl(F,70,1);CHKERRQ(ierr); 1078 #endif 1079 ierr = MatDenseGetArrayRead(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 1080 ierr = MatDenseGetArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 1081 if (matl_dbg_viewer) { 1082 ierr = MatDuplicate(S_all,MAT_DO_NOT_COPY_VALUES,&S2);CHKERRQ(ierr); 1083 ierr = MatDuplicate(S_all,MAT_DO_NOT_COPY_VALUES,&S3);CHKERRQ(ierr); 1084 ierr = MatDenseGetArray(S2,&S2_data);CHKERRQ(ierr); 1085 ierr = MatDenseGetArray(S3,&S3_data);CHKERRQ(ierr); 1086 } 1087 for (i=0;i<benign_n;i++) { 1088 PetscScalar *array,sum = 0.,one = 1.,*sums; 1089 const PetscInt *idxs; 1090 PetscInt k,j,nz; 1091 PetscBLASInt B_k,B_n; 1092 1093 ierr = PetscCalloc1(benign_n,&sums);CHKERRQ(ierr); 1094 ierr = VecPlaceArray(benign_AIIm1_ones,AIIm1_data+sizeA*i);CHKERRQ(ierr); 1095 ierr = VecCopy(benign_AIIm1_ones,v);CHKERRQ(ierr); 1096 ierr = MatSolve(F,v,benign_AIIm1_ones);CHKERRQ(ierr); 1097 ierr = MatMult(A,benign_AIIm1_ones,v);CHKERRQ(ierr); 1098 ierr = VecResetArray(benign_AIIm1_ones);CHKERRQ(ierr); 1099 /* p0 dofs (eliminated) are excluded from the sums */ 1100 for (k=0;k<benign_n;k++) { 1101 ierr = ISGetLocalSize(is_p_r[k],&nz);CHKERRQ(ierr); 1102 ierr = ISGetIndices(is_p_r[k],&idxs);CHKERRQ(ierr); 1103 for (j=0;j<nz-1;j++) sums[k] -= AIIm1_data[idxs[j]+sizeA*i]; 1104 ierr = ISRestoreIndices(is_p_r[k],&idxs);CHKERRQ(ierr); 1105 } 1106 ierr = VecGetArrayRead(v,(const PetscScalar**)&array);CHKERRQ(ierr); 1107 if (matl_dbg_viewer) { 1108 Vec vv; 1109 char name[16]; 1110 1111 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,size_schur,array+n_I,&vv);CHKERRQ(ierr); 1112 ierr = PetscSNPrintf(name,sizeof(name),"Pvs%D",i);CHKERRQ(ierr); 1113 ierr = PetscObjectSetName((PetscObject)vv,name);CHKERRQ(ierr); 1114 ierr = VecView(vv,matl_dbg_viewer);CHKERRQ(ierr); 1115 } 1116 /* perform sparse rank updates on symmetric Schur (TODO: move outside of the loop?) */ 1117 /* cs_AIB already scaled by 1./nz */ 1118 B_k = 1; 1119 for (k=0;k<benign_n;k++) { 1120 sum = sums[k]; 1121 ierr = PetscBLASIntCast(size_schur,&B_n);CHKERRQ(ierr); 1122 1123 if (PetscAbsScalar(sum) == 0.0) continue; 1124 if (k == i) { 1125 PetscStackCallBLAS("BLASsyrk",BLASsyrk_("L","N",&B_n,&B_k,&sum,cs_AIB+i*size_schur,&B_n,&one,S_data,&B_n)); 1126 if (matl_dbg_viewer) { 1127 PetscStackCallBLAS("BLASsyrk",BLASsyrk_("L","N",&B_n,&B_k,&sum,cs_AIB+i*size_schur,&B_n,&one,S3_data,&B_n)); 1128 } 1129 } else { /* XXX Is it correct to use symmetric rank-2 update with half of the sum? */ 1130 sum /= 2.0; 1131 PetscStackCallBLAS("BLASsyr2k",BLASsyr2k_("L","N",&B_n,&B_k,&sum,cs_AIB+k*size_schur,&B_n,cs_AIB+i*size_schur,&B_n,&one,S_data,&B_n)); 1132 if (matl_dbg_viewer) { 1133 PetscStackCallBLAS("BLASsyr2k",BLASsyr2k_("L","N",&B_n,&B_k,&sum,cs_AIB+k*size_schur,&B_n,cs_AIB+i*size_schur,&B_n,&one,S3_data,&B_n)); 1134 } 1135 } 1136 } 1137 sum = 1.; 1138 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)); 1139 if (matl_dbg_viewer) { 1140 PetscStackCallBLAS("BLASsyr2k",BLASsyr2k_("L","N",&B_n,&B_k,&sum,array+n_I,&B_n,cs_AIB+i*size_schur,&B_n,&one,S2_data,&B_n)); 1141 } 1142 ierr = VecRestoreArrayRead(v,(const PetscScalar**)&array);CHKERRQ(ierr); 1143 /* set p0 entry of AIIm1_ones to zero */ 1144 ierr = ISGetLocalSize(is_p_r[i],&nz);CHKERRQ(ierr); 1145 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1146 for (j=0;j<benign_n;j++) AIIm1_data[idxs[nz-1]+sizeA*j] = 0.; 1147 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1148 ierr = PetscFree(sums);CHKERRQ(ierr); 1149 } 1150 ierr = VecDestroy(&benign_AIIm1_ones);CHKERRQ(ierr); 1151 if (matl_dbg_viewer) { 1152 ierr = MatDenseRestoreArray(S2,&S2_data);CHKERRQ(ierr); 1153 ierr = MatDenseRestoreArray(S3,&S3_data);CHKERRQ(ierr); 1154 } 1155 if (!S_lower_triangular) { /* I need to expand the upper triangular data (column oriented) */ 1156 PetscInt k,j; 1157 for (k=0;k<size_schur;k++) { 1158 for (j=k;j<size_schur;j++) { 1159 S_data[j*size_schur+k] = PetscConj(S_data[k*size_schur+j]); 1160 } 1161 } 1162 } 1163 1164 /* restore defaults */ 1165 #if defined(PETSC_HAVE_MUMPS) 1166 ierr = MatMumpsSetIcntl(F,26,-1);CHKERRQ(ierr); 1167 #endif 1168 #if defined(PETSC_HAVE_MKL_PARDISO) 1169 ierr = MatMkl_PardisoSetCntl(F,70,0);CHKERRQ(ierr); 1170 #endif 1171 ierr = MatDenseRestoreArrayRead(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 1172 ierr = MatDenseRestoreArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 1173 ierr = VecDestroy(&v);CHKERRQ(ierr); 1174 ierr = MatDenseRestoreArray(S_all,&S_data);CHKERRQ(ierr); 1175 if (matl_dbg_viewer) { 1176 Mat S; 1177 1178 ierr = MatFactorRestoreSchurComplement(F,&S_all,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr); 1179 ierr = MatFactorCreateSchurComplement(F,&S,NULL);CHKERRQ(ierr); 1180 ierr = PetscObjectSetName((PetscObject)S,"Sb");CHKERRQ(ierr); 1181 ierr = MatView(S,matl_dbg_viewer);CHKERRQ(ierr); 1182 ierr = MatDestroy(&S);CHKERRQ(ierr); 1183 ierr = PetscObjectSetName((PetscObject)S2,"S2P");CHKERRQ(ierr); 1184 ierr = MatView(S2,matl_dbg_viewer);CHKERRQ(ierr); 1185 ierr = PetscObjectSetName((PetscObject)S3,"S3P");CHKERRQ(ierr); 1186 ierr = MatView(S3,matl_dbg_viewer);CHKERRQ(ierr); 1187 ierr = PetscObjectSetName((PetscObject)cs_AIB_mat,"cs");CHKERRQ(ierr); 1188 ierr = MatView(cs_AIB_mat,matl_dbg_viewer);CHKERRQ(ierr); 1189 ierr = MatFactorGetSchurComplement(F,&S_all,NULL);CHKERRQ(ierr); 1190 } 1191 ierr = MatDestroy(&S2);CHKERRQ(ierr); 1192 ierr = MatDestroy(&S3);CHKERRQ(ierr); 1193 } 1194 if (!reuse_solvers) { 1195 for (i=0;i<benign_n;i++) { 1196 ierr = ISDestroy(&is_p_r[i]);CHKERRQ(ierr); 1197 } 1198 ierr = PetscFree(is_p_r);CHKERRQ(ierr); 1199 ierr = MatDestroy(&cs_AIB_mat);CHKERRQ(ierr); 1200 ierr = MatDestroy(&benign_AIIm1_ones_mat);CHKERRQ(ierr); 1201 } 1202 } else { /* we can't use MatFactor when size_schur == size_of_the_problem */ 1203 ierr = MatConvert(A,MATSEQDENSE,MAT_INITIAL_MATRIX,&S_all);CHKERRQ(ierr); 1204 ierr = MatGetType(S_all,&Stype);CHKERRQ(ierr); 1205 reuse_solvers = PETSC_FALSE; /* TODO: why we can't reuse the solvers here? */ 1206 factor_workaround = PETSC_FALSE; 1207 solver_S = PETSC_FALSE; 1208 } 1209 1210 if (reuse_solvers) { 1211 Mat A_II,Afake; 1212 Vec vec1_B; 1213 PCBDDCReuseSolvers msolv_ctx; 1214 PetscInt n_R; 1215 1216 if (sub_schurs->reuse_solver) { 1217 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 1218 } else { 1219 ierr = PetscNew(&sub_schurs->reuse_solver);CHKERRQ(ierr); 1220 } 1221 msolv_ctx = sub_schurs->reuse_solver; 1222 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,NULL,NULL,NULL);CHKERRQ(ierr); 1223 ierr = PetscObjectReference((PetscObject)F);CHKERRQ(ierr); 1224 msolv_ctx->F = F; 1225 ierr = MatCreateVecs(F,&msolv_ctx->sol,NULL);CHKERRQ(ierr); 1226 /* currently PETSc has no support for MatSolve(F,x,x), so cheat and let rhs and sol share the same memory */ 1227 { 1228 PetscScalar *array; 1229 PetscInt n; 1230 1231 ierr = VecGetLocalSize(msolv_ctx->sol,&n);CHKERRQ(ierr); 1232 ierr = VecGetArray(msolv_ctx->sol,&array);CHKERRQ(ierr); 1233 ierr = VecCreateSeqWithArray(PetscObjectComm((PetscObject)msolv_ctx->sol),1,n,array,&msolv_ctx->rhs);CHKERRQ(ierr); 1234 ierr = VecRestoreArray(msolv_ctx->sol,&array);CHKERRQ(ierr); 1235 } 1236 msolv_ctx->has_vertices = schur_has_vertices; 1237 1238 /* interior solver */ 1239 ierr = PCCreate(PetscObjectComm((PetscObject)A_II),&msolv_ctx->interior_solver);CHKERRQ(ierr); 1240 ierr = PCSetOperators(msolv_ctx->interior_solver,A_II,A_II);CHKERRQ(ierr); 1241 ierr = PCSetType(msolv_ctx->interior_solver,PCSHELL);CHKERRQ(ierr); 1242 ierr = PCShellSetName(msolv_ctx->interior_solver,"Interior solver (w/o Schur factorization)");CHKERRQ(ierr); 1243 ierr = PCShellSetContext(msolv_ctx->interior_solver,msolv_ctx);CHKERRQ(ierr); 1244 ierr = PCShellSetView(msolv_ctx->interior_solver,PCBDDCReuseSolvers_View);CHKERRQ(ierr); 1245 ierr = PCShellSetApply(msolv_ctx->interior_solver,PCBDDCReuseSolvers_Interior);CHKERRQ(ierr); 1246 ierr = PCShellSetApplyTranspose(msolv_ctx->interior_solver,PCBDDCReuseSolvers_InteriorTranspose);CHKERRQ(ierr); 1247 1248 /* correction solver */ 1249 ierr = PCCreate(PetscObjectComm((PetscObject)A_II),&msolv_ctx->correction_solver);CHKERRQ(ierr); 1250 ierr = PCSetType(msolv_ctx->correction_solver,PCSHELL);CHKERRQ(ierr); 1251 ierr = PCShellSetName(msolv_ctx->correction_solver,"Correction solver (with Schur factorization)");CHKERRQ(ierr); 1252 ierr = PCShellSetContext(msolv_ctx->correction_solver,msolv_ctx);CHKERRQ(ierr); 1253 ierr = PCShellSetView(msolv_ctx->interior_solver,PCBDDCReuseSolvers_View);CHKERRQ(ierr); 1254 ierr = PCShellSetApply(msolv_ctx->correction_solver,PCBDDCReuseSolvers_Correction);CHKERRQ(ierr); 1255 ierr = PCShellSetApplyTranspose(msolv_ctx->correction_solver,PCBDDCReuseSolvers_CorrectionTranspose);CHKERRQ(ierr); 1256 1257 /* scatter and vecs for Schur complement solver */ 1258 ierr = MatCreateVecs(S_all,&msolv_ctx->sol_B,&msolv_ctx->rhs_B);CHKERRQ(ierr); 1259 ierr = MatCreateVecs(sub_schurs->S,&vec1_B,NULL);CHKERRQ(ierr); 1260 if (!schur_has_vertices) { 1261 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,is_A_all,&msolv_ctx->is_B);CHKERRQ(ierr); 1262 ierr = VecScatterCreate(vec1_B,msolv_ctx->is_B,msolv_ctx->sol_B,NULL,&msolv_ctx->correction_scatter_B);CHKERRQ(ierr); 1263 ierr = PetscObjectReference((PetscObject)is_A_all);CHKERRQ(ierr); 1264 msolv_ctx->is_R = is_A_all; 1265 } else { 1266 IS is_B_all; 1267 const PetscInt* idxs; 1268 PetscInt dual,n_v,n; 1269 1270 ierr = ISGetLocalSize(sub_schurs->is_vertices,&n_v);CHKERRQ(ierr); 1271 dual = size_schur - n_v; 1272 ierr = ISGetLocalSize(is_A_all,&n);CHKERRQ(ierr); 1273 ierr = ISGetIndices(is_A_all,&idxs);CHKERRQ(ierr); 1274 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)is_A_all),dual,idxs+n_I,PETSC_COPY_VALUES,&is_B_all);CHKERRQ(ierr); 1275 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,is_B_all,&msolv_ctx->is_B);CHKERRQ(ierr); 1276 ierr = ISDestroy(&is_B_all);CHKERRQ(ierr); 1277 ierr = ISCreateStride(PetscObjectComm((PetscObject)is_A_all),dual,0,1,&is_B_all);CHKERRQ(ierr); 1278 ierr = VecScatterCreate(vec1_B,msolv_ctx->is_B,msolv_ctx->sol_B,is_B_all,&msolv_ctx->correction_scatter_B);CHKERRQ(ierr); 1279 ierr = ISDestroy(&is_B_all);CHKERRQ(ierr); 1280 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)is_A_all),n-n_v,idxs,PETSC_COPY_VALUES,&msolv_ctx->is_R);CHKERRQ(ierr); 1281 ierr = ISRestoreIndices(is_A_all,&idxs);CHKERRQ(ierr); 1282 } 1283 ierr = ISGetLocalSize(msolv_ctx->is_R,&n_R);CHKERRQ(ierr); 1284 ierr = MatCreateSeqAIJ(PETSC_COMM_SELF,n_R,n_R,0,NULL,&Afake);CHKERRQ(ierr); 1285 ierr = MatAssemblyBegin(Afake,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1286 ierr = MatAssemblyEnd(Afake,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1287 ierr = PCSetOperators(msolv_ctx->correction_solver,Afake,Afake);CHKERRQ(ierr); 1288 ierr = MatDestroy(&Afake);CHKERRQ(ierr); 1289 ierr = VecDestroy(&vec1_B);CHKERRQ(ierr); 1290 1291 /* communicate benign info to solver context */ 1292 if (benign_n) { 1293 PetscScalar *array; 1294 1295 msolv_ctx->benign_n = benign_n; 1296 msolv_ctx->benign_zerodiag_subs = is_p_r; 1297 ierr = PetscMalloc1(benign_n,&msolv_ctx->benign_save_vals);CHKERRQ(ierr); 1298 msolv_ctx->benign_csAIB = cs_AIB_mat; 1299 ierr = MatCreateVecs(cs_AIB_mat,&msolv_ctx->benign_corr_work,NULL);CHKERRQ(ierr); 1300 ierr = VecGetArray(msolv_ctx->benign_corr_work,&array);CHKERRQ(ierr); 1301 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,size_schur,array,&msolv_ctx->benign_dummy_schur_vec);CHKERRQ(ierr); 1302 ierr = VecRestoreArray(msolv_ctx->benign_corr_work,&array);CHKERRQ(ierr); 1303 msolv_ctx->benign_AIIm1ones = benign_AIIm1_ones_mat; 1304 } 1305 } else { 1306 if (sub_schurs->reuse_solver) { 1307 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 1308 } 1309 ierr = PetscFree(sub_schurs->reuse_solver);CHKERRQ(ierr); 1310 } 1311 ierr = MatDestroy(&A);CHKERRQ(ierr); 1312 ierr = ISDestroy(&is_A_all);CHKERRQ(ierr); 1313 1314 /* Work arrays */ 1315 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 1316 1317 /* matrices for deluxe scaling and adaptive selection */ 1318 if (compute_Stilda) { 1319 if (!sub_schurs->sum_S_Ej_tilda_all) { 1320 ierr = MatDuplicate(sub_schurs->S_Ej_all,MAT_SHARE_NONZERO_PATTERN,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1321 } 1322 if (!sub_schurs->sum_S_Ej_inv_all && deluxe) { 1323 ierr = MatDuplicate(sub_schurs->S_Ej_all,MAT_SHARE_NONZERO_PATTERN,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1324 } 1325 } 1326 1327 /* S_Ej_all */ 1328 cum = cum2 = 0; 1329 ierr = MatDenseGetArrayRead(S_all,&rS_data);CHKERRQ(ierr); 1330 for (i=0;i<sub_schurs->n_subs;i++) { 1331 PetscInt j; 1332 1333 /* get S_E */ 1334 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1335 if (S_lower_triangular) { /* I need to expand the upper triangular data (column oriented) */ 1336 PetscInt k; 1337 for (k=0;k<subset_size;k++) { 1338 for (j=k;j<subset_size;j++) { 1339 work[k*subset_size+j] = rS_data[cum2+k*size_schur+j]; 1340 work[j*subset_size+k] = PetscConj(rS_data[cum2+k*size_schur+j]); 1341 } 1342 } 1343 } else { /* just copy to workspace */ 1344 PetscInt k; 1345 for (k=0;k<subset_size;k++) { 1346 for (j=0;j<subset_size;j++) { 1347 work[k*subset_size+j] = rS_data[cum2+k*size_schur+j]; 1348 } 1349 } 1350 } 1351 /* insert S_E values */ 1352 for (j=0;j<subset_size;j++) dummy_idx[j] = cum+j; 1353 if (sub_schurs->change) { 1354 Mat change_sub,SEj,T; 1355 1356 /* change basis */ 1357 ierr = KSPGetOperators(sub_schurs->change[i],&change_sub,NULL);CHKERRQ(ierr); 1358 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1359 if (!sub_schurs->change_with_qr) { /* currently there's no support for PtAP with P SeqAIJ */ 1360 Mat T2; 1361 ierr = MatTransposeMatMult(change_sub,SEj,MAT_INITIAL_MATRIX,1.0,&T2);CHKERRQ(ierr); 1362 ierr = MatMatMult(T2,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1363 ierr = MatConvert(T,MATSEQDENSE,MAT_INPLACE_MATRIX,&T);CHKERRQ(ierr); 1364 ierr = MatDestroy(&T2);CHKERRQ(ierr); 1365 } else { 1366 ierr = MatPtAP(SEj,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1367 } 1368 ierr = MatCopy(T,SEj,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1369 ierr = MatDestroy(&T);CHKERRQ(ierr); 1370 ierr = MatZeroRowsColumnsIS(SEj,sub_schurs->change_primal_sub[i],1.0,NULL,NULL);CHKERRQ(ierr); 1371 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1372 } 1373 if (deluxe) { 1374 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1375 /* if adaptivity is requested, invert S_E blocks */ 1376 if (compute_Stilda) { 1377 Mat M; 1378 const PetscScalar *vals; 1379 PetscBool isdense,isdensecuda; 1380 1381 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&M);CHKERRQ(ierr); 1382 ierr = MatSetOption(M,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr); 1383 ierr = MatSetOption(M,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr); 1384 if (!PetscBTLookup(sub_schurs->is_edge,i)) { 1385 ierr = MatSetType(M,Stype);CHKERRQ(ierr); 1386 } 1387 ierr = PetscObjectTypeCompare((PetscObject)M,MATSEQDENSE,&isdense);CHKERRQ(ierr); 1388 ierr = PetscObjectTypeCompare((PetscObject)M,MATSEQDENSECUDA,&isdensecuda);CHKERRQ(ierr); 1389 if (use_cholesky) { 1390 ierr = MatCholeskyFactor(M,NULL,NULL);CHKERRQ(ierr); 1391 } else { 1392 ierr = MatLUFactor(M,NULL,NULL,NULL);CHKERRQ(ierr); 1393 } 1394 if (isdense) { 1395 ierr = MatSeqDenseInvertFactors_Private(M);CHKERRQ(ierr); 1396 #if defined(PETSC_HAVE_CUDA) 1397 } else if (isdensecuda) { 1398 ierr = MatSeqDenseCUDAInvertFactors_Private(M);CHKERRQ(ierr); 1399 #endif 1400 } else SETERRQ1(PetscObjectComm((PetscObject)M),PETSC_ERR_SUP,"Not implemented for type %s",Stype); 1401 ierr = MatDenseGetArrayRead(M,&vals);CHKERRQ(ierr); 1402 ierr = MatSetValues(sub_schurs->sum_S_Ej_inv_all,subset_size,dummy_idx,subset_size,dummy_idx,vals,INSERT_VALUES);CHKERRQ(ierr); 1403 ierr = MatDenseRestoreArrayRead(M,&vals);CHKERRQ(ierr); 1404 ierr = MatDestroy(&M);CHKERRQ(ierr); 1405 } 1406 } else if (compute_Stilda) { /* not using deluxe */ 1407 Mat SEj; 1408 Vec D; 1409 PetscScalar *array; 1410 1411 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1412 ierr = VecGetArray(Dall,&array);CHKERRQ(ierr); 1413 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,subset_size,array+cum,&D);CHKERRQ(ierr); 1414 ierr = VecRestoreArray(Dall,&array);CHKERRQ(ierr); 1415 ierr = VecShift(D,-1.);CHKERRQ(ierr); 1416 ierr = MatDiagonalScale(SEj,D,D);CHKERRQ(ierr); 1417 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1418 ierr = VecDestroy(&D);CHKERRQ(ierr); 1419 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1420 } 1421 cum += subset_size; 1422 cum2 += subset_size*(size_schur + 1); 1423 } 1424 ierr = MatDenseRestoreArrayRead(S_all,&rS_data);CHKERRQ(ierr); 1425 1426 if (solver_S) { 1427 ierr = MatFactorRestoreSchurComplement(F,&S_all,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr); 1428 } 1429 1430 /* may prevent from unneeded copies, since MUMPS or MKL_Pardiso always use CPU memory 1431 however, preliminary tests indicate using GPUs is still faster in the solve phase */ 1432 #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA) 1433 if (reuse_solvers) { 1434 Mat St; 1435 MatFactorSchurStatus st; 1436 PetscBool flg = PETSC_FALSE; 1437 1438 ierr = PetscOptionsGetBool(NULL,sub_schurs->prefix,"-sub_schurs_schur_pin_to_cpu",&flg,NULL);CHKERRQ(ierr); 1439 ierr = MatFactorGetSchurComplement(F,&St,&st);CHKERRQ(ierr); 1440 ierr = MatPinToCPU(St,flg);CHKERRQ(ierr); 1441 ierr = MatFactorRestoreSchurComplement(F,&St,st);CHKERRQ(ierr); 1442 } 1443 #endif 1444 1445 schur_factor = NULL; 1446 if (compute_Stilda && size_active_schur) { 1447 1448 if (sub_schurs->n_subs == 1 && size_schur == size_active_schur && deluxe) { /* we already computed the inverse */ 1449 PetscInt j; 1450 1451 for (j=0;j<size_schur;j++) dummy_idx[j] = j; 1452 ierr = MatSetValues(sub_schurs->sum_S_Ej_tilda_all,size_schur,dummy_idx,size_schur,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1453 } else { 1454 Mat S_all_inv=NULL; 1455 1456 if (solver_S) { 1457 /* for adaptive selection we need S^-1; for solver reusage we need S_\Delta\Delta^-1. 1458 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 */ 1459 if (factor_workaround) {/* invert without calling MatFactorInvertSchurComplement, since we are hacking */ 1460 PetscScalar *data; 1461 PetscInt nd = 0; 1462 1463 if (!use_potr) { 1464 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor update not yet implemented for non SPD matrices"); 1465 } 1466 ierr = MatFactorGetSchurComplement(F,&S_all_inv,NULL);CHKERRQ(ierr); 1467 ierr = MatDenseGetArray(S_all_inv,&data);CHKERRQ(ierr); 1468 if (sub_schurs->is_dir) { /* dirichlet dofs could have different scalings */ 1469 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1470 } 1471 1472 /* factor and invert activedofs and vertices (dirichlet dofs does not contribute) */ 1473 if (schur_has_vertices) { 1474 Mat M; 1475 PetscScalar *tdata; 1476 PetscInt nv = 0, news; 1477 1478 ierr = ISGetLocalSize(sub_schurs->is_vertices,&nv);CHKERRQ(ierr); 1479 news = size_active_schur + nv; 1480 ierr = PetscCalloc1(news*news,&tdata);CHKERRQ(ierr); 1481 for (i=0;i<size_active_schur;i++) { 1482 ierr = PetscArraycpy(tdata+i*(news+1),data+i*(size_schur+1),size_active_schur-i);CHKERRQ(ierr); 1483 ierr = PetscArraycpy(tdata+i*(news+1)+size_active_schur-i,data+i*size_schur+size_active_schur+nd,nv);CHKERRQ(ierr); 1484 } 1485 for (i=0;i<nv;i++) { 1486 PetscInt k = i+size_active_schur; 1487 ierr = PetscArraycpy(tdata+k*(news+1),data+(k+nd)*(size_schur+1),nv-i);CHKERRQ(ierr); 1488 } 1489 1490 ierr = MatCreateSeqDense(PETSC_COMM_SELF,news,news,tdata,&M);CHKERRQ(ierr); 1491 ierr = MatSetOption(M,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr); 1492 ierr = MatCholeskyFactor(M,NULL,NULL);CHKERRQ(ierr); 1493 /* save the factors */ 1494 cum = 0; 1495 ierr = PetscMalloc1((size_active_schur*(size_active_schur +1))/2+nd,&schur_factor);CHKERRQ(ierr); 1496 for (i=0;i<size_active_schur;i++) { 1497 ierr = PetscArraycpy(schur_factor+cum,tdata+i*(news+1),size_active_schur-i);CHKERRQ(ierr); 1498 cum += size_active_schur - i; 1499 } 1500 for (i=0;i<nd;i++) schur_factor[cum+i] = PetscSqrtReal(PetscRealPart(data[(i+size_active_schur)*(size_schur+1)])); 1501 ierr = MatSeqDenseInvertFactors_Private(M);CHKERRQ(ierr); 1502 /* move back just the active dofs to the Schur complement */ 1503 for (i=0;i<size_active_schur;i++) { 1504 ierr = PetscArraycpy(data+i*size_schur,tdata+i*news,size_active_schur);CHKERRQ(ierr); 1505 } 1506 ierr = PetscFree(tdata);CHKERRQ(ierr); 1507 ierr = MatDestroy(&M);CHKERRQ(ierr); 1508 } else { /* we can factorize and invert just the activedofs */ 1509 Mat M; 1510 PetscScalar *aux; 1511 1512 ierr = PetscMalloc1(nd,&aux);CHKERRQ(ierr); 1513 for (i=0;i<nd;i++) aux[i] = 1.0/data[(i+size_active_schur)*(size_schur+1)]; 1514 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_active_schur,size_active_schur,data,&M);CHKERRQ(ierr); 1515 ierr = MatSeqDenseSetLDA(M,size_schur);CHKERRQ(ierr); 1516 ierr = MatSetOption(M,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr); 1517 ierr = MatCholeskyFactor(M,NULL,NULL);CHKERRQ(ierr); 1518 ierr = MatSeqDenseInvertFactors_Private(M);CHKERRQ(ierr); 1519 ierr = MatDestroy(&M);CHKERRQ(ierr); 1520 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_schur,nd,data+size_active_schur*size_schur,&M);CHKERRQ(ierr); 1521 ierr = MatZeroEntries(M);CHKERRQ(ierr); 1522 ierr = MatDestroy(&M);CHKERRQ(ierr); 1523 ierr = MatCreateSeqDense(PETSC_COMM_SELF,nd,size_schur,data+size_active_schur,&M);CHKERRQ(ierr); 1524 ierr = MatSeqDenseSetLDA(M,size_schur);CHKERRQ(ierr); 1525 ierr = MatZeroEntries(M);CHKERRQ(ierr); 1526 ierr = MatDestroy(&M);CHKERRQ(ierr); 1527 for (i=0;i<nd;i++) data[(i+size_active_schur)*(size_schur+1)] = aux[i]; 1528 ierr = PetscFree(aux);CHKERRQ(ierr); 1529 } 1530 ierr = MatDenseRestoreArray(S_all_inv,&data);CHKERRQ(ierr); 1531 } else { /* use MatFactor calls to invert S */ 1532 ierr = MatFactorInvertSchurComplement(F);CHKERRQ(ierr); 1533 ierr = MatFactorGetSchurComplement(F,&S_all_inv,NULL);CHKERRQ(ierr); 1534 } 1535 } else { /* we need to invert explicitly since we are not using MatFactor for S */ 1536 ierr = PetscObjectReference((PetscObject)S_all);CHKERRQ(ierr); 1537 S_all_inv = S_all; 1538 ierr = MatDenseGetArray(S_all_inv,&S_data);CHKERRQ(ierr); 1539 ierr = PetscBLASIntCast(size_schur,&B_N);CHKERRQ(ierr); 1540 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1541 if (use_potr) { 1542 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,S_data,&B_N,&B_ierr)); 1543 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1544 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,S_data,&B_N,&B_ierr)); 1545 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1546 } else if (use_sytr) { 1547 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,S_data,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1548 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr); 1549 PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_("L",&B_N,S_data,&B_N,pivots,Bwork,&B_ierr)); 1550 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr); 1551 } else { 1552 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,S_data,&B_N,pivots,&B_ierr)); 1553 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1554 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,S_data,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1555 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1556 } 1557 ierr = PetscLogFlops(1.0*size_schur*size_schur*size_schur);CHKERRQ(ierr); 1558 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1559 ierr = MatDenseRestoreArray(S_all_inv,&S_data);CHKERRQ(ierr); 1560 } 1561 /* S_Ej_tilda_all */ 1562 cum = cum2 = 0; 1563 ierr = MatDenseGetArrayRead(S_all_inv,&rS_data);CHKERRQ(ierr); 1564 for (i=0;i<sub_schurs->n_subs;i++) { 1565 PetscInt j; 1566 1567 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1568 /* get (St^-1)_E */ 1569 /* Unless we are changing the variables, I don't need to expand to upper triangular since St^-1 1570 will be properly accessed later during adaptive selection */ 1571 if (S_lower_triangular) { 1572 PetscInt k; 1573 if (sub_schurs->change) { 1574 for (k=0;k<subset_size;k++) { 1575 for (j=k;j<subset_size;j++) { 1576 work[k*subset_size+j] = rS_data[cum2+k*size_schur+j]; 1577 work[j*subset_size+k] = work[k*subset_size+j]; 1578 } 1579 } 1580 } else { 1581 for (k=0;k<subset_size;k++) { 1582 for (j=k;j<subset_size;j++) { 1583 work[k*subset_size+j] = rS_data[cum2+k*size_schur+j]; 1584 } 1585 } 1586 } 1587 } else { 1588 PetscInt k; 1589 for (k=0;k<subset_size;k++) { 1590 for (j=0;j<subset_size;j++) { 1591 work[k*subset_size+j] = rS_data[cum2+k*size_schur+j]; 1592 } 1593 } 1594 } 1595 if (sub_schurs->change) { 1596 Mat change_sub,SEj,T; 1597 1598 /* change basis */ 1599 ierr = KSPGetOperators(sub_schurs->change[i],&change_sub,NULL);CHKERRQ(ierr); 1600 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1601 if (!sub_schurs->change_with_qr) { /* currently there's no support for PtAP with P SeqAIJ */ 1602 Mat T2; 1603 ierr = MatTransposeMatMult(change_sub,SEj,MAT_INITIAL_MATRIX,1.0,&T2);CHKERRQ(ierr); 1604 ierr = MatMatMult(T2,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1605 ierr = MatDestroy(&T2);CHKERRQ(ierr); 1606 ierr = MatConvert(T,MATSEQDENSE,MAT_INPLACE_MATRIX,&T);CHKERRQ(ierr); 1607 } else { 1608 ierr = MatPtAP(SEj,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1609 } 1610 ierr = MatCopy(T,SEj,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1611 ierr = MatDestroy(&T);CHKERRQ(ierr); 1612 /* set diagonal entry to a very large value to pick the basis we are eliminating as the first eigenvectors with adaptive selection */ 1613 ierr = MatZeroRowsColumnsIS(SEj,sub_schurs->change_primal_sub[i],1./PETSC_SMALL,NULL,NULL);CHKERRQ(ierr); 1614 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1615 } 1616 for (j=0;j<subset_size;j++) dummy_idx[j] = cum+j; 1617 ierr = MatSetValues(sub_schurs->sum_S_Ej_tilda_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1618 cum += subset_size; 1619 cum2 += subset_size*(size_schur + 1); 1620 } 1621 ierr = MatDenseRestoreArrayRead(S_all_inv,&rS_data);CHKERRQ(ierr); 1622 if (solver_S) { 1623 if (schur_has_vertices) { 1624 ierr = MatFactorRestoreSchurComplement(F,&S_all_inv,MAT_FACTOR_SCHUR_FACTORED);CHKERRQ(ierr); 1625 } else { 1626 ierr = MatFactorRestoreSchurComplement(F,&S_all_inv,MAT_FACTOR_SCHUR_INVERTED);CHKERRQ(ierr); 1627 } 1628 } 1629 ierr = MatDestroy(&S_all_inv);CHKERRQ(ierr); 1630 } 1631 1632 /* move back factors if needed */ 1633 if (schur_has_vertices) { 1634 Mat S_tmp; 1635 PetscInt nd = 0; 1636 1637 if (!solver_S) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 1638 ierr = MatFactorGetSchurComplement(F,&S_tmp,NULL);CHKERRQ(ierr); 1639 if (use_potr) { 1640 PetscScalar *data; 1641 1642 ierr = MatDenseGetArray(S_tmp,&data);CHKERRQ(ierr); 1643 ierr = PetscArrayzero(data,size_schur*size_schur);CHKERRQ(ierr); 1644 1645 if (S_lower_triangular) { 1646 cum = 0; 1647 for (i=0;i<size_active_schur;i++) { 1648 ierr = PetscArraycpy(data+i*(size_schur+1),schur_factor+cum,size_active_schur-i);CHKERRQ(ierr); 1649 cum += size_active_schur-i; 1650 } 1651 } else { 1652 ierr = PetscArraycpy(data,schur_factor,size_schur*size_schur);CHKERRQ(ierr); 1653 } 1654 if (sub_schurs->is_dir) { 1655 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1656 for (i=0;i<nd;i++) { 1657 data[(i+size_active_schur)*(size_schur+1)] = schur_factor[cum+i]; 1658 } 1659 } 1660 /* workaround: since I cannot modify the matrices used inside the solvers for the forward and backward substitutions, 1661 set the diagonal entry of the Schur factor to a very large value */ 1662 for (i=size_active_schur+nd;i<size_schur;i++) { 1663 data[i*(size_schur+1)] = infty; 1664 } 1665 ierr = MatDenseRestoreArray(S_tmp,&data);CHKERRQ(ierr); 1666 } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor update not yet implemented for non SPD matrices"); 1667 ierr = MatFactorRestoreSchurComplement(F,&S_tmp,MAT_FACTOR_SCHUR_FACTORED);CHKERRQ(ierr); 1668 } 1669 } else if (factor_workaround) { /* we need to eliminate any unneeded coupling */ 1670 PetscScalar *data; 1671 PetscInt nd = 0; 1672 1673 if (sub_schurs->is_dir) { /* dirichlet dofs could have different scalings */ 1674 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1675 } 1676 ierr = MatFactorGetSchurComplement(F,&S_all,NULL);CHKERRQ(ierr); 1677 ierr = MatDenseGetArray(S_all,&data);CHKERRQ(ierr); 1678 for (i=0;i<size_active_schur;i++) { 1679 ierr = PetscArrayzero(data+i*size_schur+size_active_schur,size_schur-size_active_schur);CHKERRQ(ierr); 1680 } 1681 for (i=size_active_schur+nd;i<size_schur;i++) { 1682 ierr = PetscArrayzero(data+i*size_schur+size_active_schur,size_schur-size_active_schur);CHKERRQ(ierr); 1683 data[i*(size_schur+1)] = infty; 1684 } 1685 ierr = MatDenseRestoreArray(S_all,&data);CHKERRQ(ierr); 1686 ierr = MatFactorRestoreSchurComplement(F,&S_all,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr); 1687 } 1688 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 1689 ierr = PetscFree(schur_factor);CHKERRQ(ierr); 1690 ierr = VecDestroy(&Dall);CHKERRQ(ierr); 1691 } 1692 ierr = PetscFree(nnz);CHKERRQ(ierr); 1693 ierr = ISDestroy(&is_I_layer);CHKERRQ(ierr); 1694 ierr = MatDestroy(&S_all);CHKERRQ(ierr); 1695 ierr = MatDestroy(&A_BB);CHKERRQ(ierr); 1696 ierr = MatDestroy(&A_IB);CHKERRQ(ierr); 1697 ierr = MatDestroy(&A_BI);CHKERRQ(ierr); 1698 ierr = MatDestroy(&F);CHKERRQ(ierr); 1699 1700 /* speed up matrix assembly */ 1701 ierr = PetscMalloc1(sub_schurs->n_subs,&nnz);CHKERRQ(ierr); 1702 for (i=0;i<sub_schurs->n_subs;i++) { 1703 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&nnz[i]);CHKERRQ(ierr); 1704 } 1705 ierr = ISCreateGeneral(PETSC_COMM_SELF,sub_schurs->n_subs,nnz,PETSC_OWN_POINTER,&is_I_layer);CHKERRQ(ierr); 1706 ierr = MatSetVariableBlockSizes(sub_schurs->S_Ej_all,sub_schurs->n_subs,nnz);CHKERRQ(ierr); 1707 ierr = MatAssemblyBegin(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1708 ierr = MatAssemblyEnd(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1709 if (compute_Stilda) { 1710 ierr = MatSetVariableBlockSizes(sub_schurs->sum_S_Ej_tilda_all,sub_schurs->n_subs,nnz);CHKERRQ(ierr); 1711 ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1712 ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1713 if (deluxe) { 1714 ierr = MatSetVariableBlockSizes(sub_schurs->sum_S_Ej_inv_all,sub_schurs->n_subs,nnz);CHKERRQ(ierr); 1715 ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1716 ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1717 } 1718 } 1719 ierr = ISDestroy(&is_I_layer);CHKERRQ(ierr); 1720 1721 /* Global matrix of all assembled Schur on subsets */ 1722 ierr = MatISSetLocalMat(work_mat,sub_schurs->S_Ej_all);CHKERRQ(ierr); 1723 ierr = MatAssemblyBegin(work_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1724 ierr = MatAssemblyEnd(work_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1725 ierr = MatISSetMPIXAIJPreallocation_Private(work_mat,global_schur_subsets,PETSC_TRUE);CHKERRQ(ierr); 1726 ierr = MatConvert(work_mat,MATAIJ,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1727 1728 /* Get local part of (\sum_j S_Ej) */ 1729 ierr = MatCreateSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_INITIAL_MATRIX,&submats);CHKERRQ(ierr); 1730 if (!sub_schurs->sum_S_Ej_all) { 1731 ierr = MatDuplicate(submats[0],MAT_COPY_VALUES,&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1732 } else { 1733 ierr = MatCopy(submats[0],sub_schurs->sum_S_Ej_all,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1734 } 1735 1736 /* Get local part of (\sum_j S^-1_Ej) (\sum_j St^-1_Ej) */ 1737 if (compute_Stilda) { 1738 ierr = MatISSetLocalMat(work_mat,sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1739 ierr = MatConvert(work_mat,MATAIJ,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1740 ierr = MatCreateSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr); 1741 ierr = MatCopy(submats[0],sub_schurs->sum_S_Ej_tilda_all,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1742 if (deluxe) { 1743 ierr = MatISSetLocalMat(work_mat,sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1744 ierr = MatConvert(work_mat,MATAIJ,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1745 ierr = MatCreateSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr); 1746 ierr = MatCopy(submats[0],sub_schurs->sum_S_Ej_inv_all,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1747 } else { 1748 PetscScalar *array; 1749 PetscInt cum; 1750 1751 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all,&array);CHKERRQ(ierr); 1752 cum = 0; 1753 for (i=0;i<sub_schurs->n_subs;i++) { 1754 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1755 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 1756 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1757 if (use_potr) { 1758 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,array+cum,&B_N,&B_ierr)); 1759 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1760 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,array+cum,&B_N,&B_ierr)); 1761 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1762 } else if (use_sytr) { 1763 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1764 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr); 1765 PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_("L",&B_N,array+cum,&B_N,pivots,Bwork,&B_ierr)); 1766 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr); 1767 } else { 1768 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array+cum,&B_N,pivots,&B_ierr)); 1769 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1770 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1771 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1772 } 1773 ierr = PetscLogFlops(1.0*subset_size*subset_size*subset_size);CHKERRQ(ierr); 1774 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1775 cum += subset_size*subset_size; 1776 } 1777 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_tilda_all,&array);CHKERRQ(ierr); 1778 ierr = PetscObjectReference((PetscObject)sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1779 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1780 sub_schurs->sum_S_Ej_inv_all = sub_schurs->sum_S_Ej_all; 1781 } 1782 } 1783 ierr = MatDestroySubMatrices(1,&submats);CHKERRQ(ierr); 1784 if (matl_dbg_viewer) { 1785 PetscInt cum; 1786 1787 if (sub_schurs->S_Ej_all) { 1788 ierr = PetscObjectSetName((PetscObject)sub_schurs->S_Ej_all,"SE");CHKERRQ(ierr); 1789 ierr = MatView(sub_schurs->S_Ej_all,matl_dbg_viewer);CHKERRQ(ierr); 1790 } 1791 if (sub_schurs->sum_S_Ej_all) { 1792 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_all,"SSE");CHKERRQ(ierr); 1793 ierr = MatView(sub_schurs->sum_S_Ej_all,matl_dbg_viewer);CHKERRQ(ierr); 1794 } 1795 if (sub_schurs->sum_S_Ej_inv_all) { 1796 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_inv_all,"SSEm");CHKERRQ(ierr); 1797 ierr = MatView(sub_schurs->sum_S_Ej_inv_all,matl_dbg_viewer);CHKERRQ(ierr); 1798 } 1799 if (sub_schurs->sum_S_Ej_tilda_all) { 1800 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_tilda_all,"SSEt");CHKERRQ(ierr); 1801 ierr = MatView(sub_schurs->sum_S_Ej_tilda_all,matl_dbg_viewer);CHKERRQ(ierr); 1802 } 1803 for (i=0,cum=0;i<sub_schurs->n_subs;i++) { 1804 IS is; 1805 char name[16]; 1806 1807 ierr = PetscSNPrintf(name,sizeof(name),"IE%D",i);CHKERRQ(ierr); 1808 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1809 ierr = ISCreateStride(PETSC_COMM_SELF,subset_size,cum,1,&is);CHKERRQ(ierr); 1810 ierr = PetscObjectSetName((PetscObject)is,name);CHKERRQ(ierr); 1811 ierr = ISView(is,matl_dbg_viewer);CHKERRQ(ierr); 1812 ierr = ISDestroy(&is);CHKERRQ(ierr); 1813 cum += subset_size; 1814 } 1815 } 1816 1817 /* free workspace */ 1818 ierr = PetscViewerDestroy(&matl_dbg_viewer);CHKERRQ(ierr); 1819 ierr = PetscFree(submats);CHKERRQ(ierr); 1820 ierr = PetscFree2(Bwork,pivots);CHKERRQ(ierr); 1821 ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr); 1822 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 1823 ierr = ISDestroy(&all_subsets_n);CHKERRQ(ierr); 1824 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 1825 PetscFunctionReturn(0); 1826 } 1827 1828 PetscErrorCode PCBDDCSubSchursInit(PCBDDCSubSchurs sub_schurs, const char* prefix, IS is_I, IS is_B, PCBDDCGraph graph, ISLocalToGlobalMapping BtoNmap, PetscBool copycc) 1829 { 1830 IS *faces,*edges,*all_cc,vertices; 1831 PetscInt i,n_faces,n_edges,n_all_cc; 1832 PetscBool is_sorted,ispetsc; 1833 PetscErrorCode ierr; 1834 1835 PetscFunctionBegin; 1836 ierr = ISSorted(is_I,&is_sorted);CHKERRQ(ierr); 1837 if (!is_sorted) SETERRQ(PetscObjectComm((PetscObject)is_I),PETSC_ERR_PLIB,"IS for I dofs should be shorted"); 1838 ierr = ISSorted(is_B,&is_sorted);CHKERRQ(ierr); 1839 if (!is_sorted) SETERRQ(PetscObjectComm((PetscObject)is_B),PETSC_ERR_PLIB,"IS for B dofs should be shorted"); 1840 1841 /* reset any previous data */ 1842 ierr = PCBDDCSubSchursReset(sub_schurs);CHKERRQ(ierr); 1843 1844 /* get index sets for faces and edges (already sorted by global ordering) */ 1845 ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 1846 n_all_cc = n_faces+n_edges; 1847 ierr = PetscBTCreate(n_all_cc,&sub_schurs->is_edge);CHKERRQ(ierr); 1848 ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr); 1849 for (i=0;i<n_faces;i++) { 1850 if (copycc) { 1851 ierr = ISDuplicate(faces[i],&all_cc[i]);CHKERRQ(ierr); 1852 } else { 1853 ierr = PetscObjectReference((PetscObject)faces[i]);CHKERRQ(ierr); 1854 all_cc[i] = faces[i]; 1855 } 1856 } 1857 for (i=0;i<n_edges;i++) { 1858 if (copycc) { 1859 ierr = ISDuplicate(edges[i],&all_cc[n_faces+i]);CHKERRQ(ierr); 1860 } else { 1861 ierr = PetscObjectReference((PetscObject)edges[i]);CHKERRQ(ierr); 1862 all_cc[n_faces+i] = edges[i]; 1863 } 1864 ierr = PetscBTSet(sub_schurs->is_edge,n_faces+i);CHKERRQ(ierr); 1865 } 1866 ierr = PetscObjectReference((PetscObject)vertices);CHKERRQ(ierr); 1867 sub_schurs->is_vertices = vertices; 1868 ierr = PCBDDCGraphRestoreCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 1869 sub_schurs->is_dir = NULL; 1870 ierr = PCBDDCGraphGetDirichletDofsB(graph,&sub_schurs->is_dir);CHKERRQ(ierr); 1871 1872 /* Determine if MatFactor can be used */ 1873 ierr = PetscStrallocpy(prefix,&sub_schurs->prefix);CHKERRQ(ierr); 1874 #if defined(PETSC_HAVE_MUMPS) 1875 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERMUMPS,64);CHKERRQ(ierr); 1876 #elif defined(PETSC_HAVE_MKL_PARDISO) 1877 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERMKL_PARDISO,64);CHKERRQ(ierr); 1878 #else 1879 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERPETSC,64);CHKERRQ(ierr); 1880 #endif 1881 #if defined(PETSC_USE_COMPLEX) 1882 sub_schurs->is_hermitian = PETSC_FALSE; /* Hermitian Cholesky is not supported by PETSc and external packages */ 1883 #else 1884 sub_schurs->is_hermitian = PETSC_TRUE; 1885 #endif 1886 sub_schurs->is_posdef = PETSC_TRUE; 1887 sub_schurs->is_symmetric = PETSC_TRUE; 1888 sub_schurs->debug = PETSC_FALSE; 1889 sub_schurs->restrict_comm = PETSC_FALSE; 1890 ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)graph->l2gmap),sub_schurs->prefix,"BDDC sub_schurs options","PC");CHKERRQ(ierr); 1891 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); 1892 ierr = PetscOptionsBool("-sub_schurs_symmetric","Symmetric problem",NULL,sub_schurs->is_symmetric,&sub_schurs->is_symmetric,NULL);CHKERRQ(ierr); 1893 ierr = PetscOptionsBool("-sub_schurs_hermitian","Hermitian problem",NULL,sub_schurs->is_hermitian,&sub_schurs->is_hermitian,NULL);CHKERRQ(ierr); 1894 ierr = PetscOptionsBool("-sub_schurs_posdef","Positive definite problem",NULL,sub_schurs->is_posdef,&sub_schurs->is_posdef,NULL);CHKERRQ(ierr); 1895 ierr = PetscOptionsBool("-sub_schurs_restrictcomm","Restrict communicator on active processes only",NULL,sub_schurs->restrict_comm,&sub_schurs->restrict_comm,NULL);CHKERRQ(ierr); 1896 ierr = PetscOptionsBool("-sub_schurs_debug","Debug output",NULL,sub_schurs->debug,&sub_schurs->debug,NULL);CHKERRQ(ierr); 1897 ierr = PetscOptionsEnd();CHKERRQ(ierr); 1898 ierr = PetscStrcmp(sub_schurs->mat_solver_type,MATSOLVERPETSC,&ispetsc);CHKERRQ(ierr); 1899 sub_schurs->schur_explicit = (PetscBool)!ispetsc; 1900 1901 /* for reals, symmetric and hermitian are synonims */ 1902 #if !defined(PETSC_USE_COMPLEX) 1903 sub_schurs->is_symmetric = (PetscBool)(sub_schurs->is_symmetric && sub_schurs->is_hermitian); 1904 sub_schurs->is_hermitian = sub_schurs->is_symmetric; 1905 #endif 1906 1907 ierr = PetscObjectReference((PetscObject)is_I);CHKERRQ(ierr); 1908 sub_schurs->is_I = is_I; 1909 ierr = PetscObjectReference((PetscObject)is_B);CHKERRQ(ierr); 1910 sub_schurs->is_B = is_B; 1911 ierr = PetscObjectReference((PetscObject)graph->l2gmap);CHKERRQ(ierr); 1912 sub_schurs->l2gmap = graph->l2gmap; 1913 ierr = PetscObjectReference((PetscObject)BtoNmap);CHKERRQ(ierr); 1914 sub_schurs->BtoNmap = BtoNmap; 1915 sub_schurs->n_subs = n_all_cc; 1916 sub_schurs->is_subs = all_cc; 1917 sub_schurs->S_Ej_all = NULL; 1918 sub_schurs->sum_S_Ej_all = NULL; 1919 sub_schurs->sum_S_Ej_inv_all = NULL; 1920 sub_schurs->sum_S_Ej_tilda_all = NULL; 1921 sub_schurs->is_Ej_all = NULL; 1922 PetscFunctionReturn(0); 1923 } 1924 1925 PetscErrorCode PCBDDCSubSchursCreate(PCBDDCSubSchurs *sub_schurs) 1926 { 1927 PCBDDCSubSchurs schurs_ctx; 1928 PetscErrorCode ierr; 1929 1930 PetscFunctionBegin; 1931 ierr = PetscNew(&schurs_ctx);CHKERRQ(ierr); 1932 schurs_ctx->n_subs = 0; 1933 *sub_schurs = schurs_ctx; 1934 PetscFunctionReturn(0); 1935 } 1936 1937 PetscErrorCode PCBDDCSubSchursReset(PCBDDCSubSchurs sub_schurs) 1938 { 1939 PetscInt i; 1940 PetscErrorCode ierr; 1941 1942 PetscFunctionBegin; 1943 if (!sub_schurs) PetscFunctionReturn(0); 1944 ierr = PetscFree(sub_schurs->prefix);CHKERRQ(ierr); 1945 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 1946 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 1947 ierr = ISDestroy(&sub_schurs->is_I);CHKERRQ(ierr); 1948 ierr = ISDestroy(&sub_schurs->is_B);CHKERRQ(ierr); 1949 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->l2gmap);CHKERRQ(ierr); 1950 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->BtoNmap);CHKERRQ(ierr); 1951 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 1952 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1953 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1954 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1955 ierr = ISDestroy(&sub_schurs->is_Ej_all);CHKERRQ(ierr); 1956 ierr = ISDestroy(&sub_schurs->is_vertices);CHKERRQ(ierr); 1957 ierr = ISDestroy(&sub_schurs->is_dir);CHKERRQ(ierr); 1958 ierr = PetscBTDestroy(&sub_schurs->is_edge);CHKERRQ(ierr); 1959 for (i=0;i<sub_schurs->n_subs;i++) { 1960 ierr = ISDestroy(&sub_schurs->is_subs[i]);CHKERRQ(ierr); 1961 } 1962 if (sub_schurs->n_subs) { 1963 ierr = PetscFree(sub_schurs->is_subs);CHKERRQ(ierr); 1964 } 1965 if (sub_schurs->reuse_solver) { 1966 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 1967 } 1968 ierr = PetscFree(sub_schurs->reuse_solver);CHKERRQ(ierr); 1969 if (sub_schurs->change) { 1970 for (i=0;i<sub_schurs->n_subs;i++) { 1971 ierr = KSPDestroy(&sub_schurs->change[i]);CHKERRQ(ierr); 1972 ierr = ISDestroy(&sub_schurs->change_primal_sub[i]);CHKERRQ(ierr); 1973 } 1974 } 1975 ierr = PetscFree(sub_schurs->change);CHKERRQ(ierr); 1976 ierr = PetscFree(sub_schurs->change_primal_sub);CHKERRQ(ierr); 1977 sub_schurs->n_subs = 0; 1978 PetscFunctionReturn(0); 1979 } 1980 1981 PetscErrorCode PCBDDCSubSchursDestroy(PCBDDCSubSchurs* sub_schurs) 1982 { 1983 PetscErrorCode ierr; 1984 1985 PetscFunctionBegin; 1986 ierr = PCBDDCSubSchursReset(*sub_schurs);CHKERRQ(ierr); 1987 ierr = PetscFree(*sub_schurs);CHKERRQ(ierr); 1988 PetscFunctionReturn(0); 1989 } 1990 1991 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt* queue_tip,PetscInt n_prev,PetscBT touched,PetscInt* xadj,PetscInt* adjncy,PetscInt* n_added) 1992 { 1993 PetscInt i,j,n; 1994 PetscErrorCode ierr; 1995 1996 PetscFunctionBegin; 1997 n = 0; 1998 for (i=-n_prev;i<0;i++) { 1999 PetscInt start_dof = queue_tip[i]; 2000 for (j=xadj[start_dof];j<xadj[start_dof+1];j++) { 2001 PetscInt dof = adjncy[j]; 2002 if (!PetscBTLookup(touched,dof)) { 2003 ierr = PetscBTSet(touched,dof);CHKERRQ(ierr); 2004 queue_tip[n] = dof; 2005 n++; 2006 } 2007 } 2008 } 2009 *n_added = n; 2010 PetscFunctionReturn(0); 2011 } 2012