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 Vec gstash,lstash; 407 VecScatter sstash; 408 IS is_I,is_I_layer; 409 IS all_subsets,all_subsets_mult,all_subsets_n; 410 PetscScalar *stasharray,*Bwork; 411 PetscInt *nnz,*all_local_idx_N; 412 PetscInt *auxnum1,*auxnum2; 413 PetscInt i,subset_size,max_subset_size; 414 PetscInt n_B,extra,local_size,global_size; 415 PetscInt local_stash_size; 416 PetscBLASInt B_N,B_ierr,B_lwork,*pivots; 417 MPI_Comm comm_n; 418 PetscBool deluxe = PETSC_TRUE; 419 PetscBool use_potr = PETSC_FALSE, use_sytr = PETSC_FALSE; 420 PetscViewer matl_dbg_viewer = NULL; 421 PetscErrorCode ierr; 422 423 PetscFunctionBegin; 424 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 425 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 426 if (Ain) { 427 ierr = PetscObjectReference((PetscObject)Ain);CHKERRQ(ierr); 428 sub_schurs->A = Ain; 429 } 430 431 ierr = PetscObjectReference((PetscObject)Sin);CHKERRQ(ierr); 432 sub_schurs->S = Sin; 433 if (sub_schurs->schur_explicit) { 434 sub_schurs->schur_explicit = (PetscBool)(!!sub_schurs->A); 435 } 436 437 /* preliminary checks */ 438 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"); 439 440 if (benign_trick) sub_schurs->is_posdef = PETSC_FALSE; 441 442 /* debug (MATLAB) */ 443 if (sub_schurs->debug) { 444 PetscMPIInt size,rank; 445 PetscInt nr,*print_schurs_ranks,print_schurs = PETSC_FALSE; 446 PetscBool flg; 447 448 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&size);CHKERRQ(ierr); 449 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&rank);CHKERRQ(ierr); 450 nr = size; 451 ierr = PetscMalloc1(nr,&print_schurs_ranks);CHKERRQ(ierr); 452 ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)sub_schurs->l2gmap),sub_schurs->prefix,"BDDC sub_schurs options","PC");CHKERRQ(ierr); 453 ierr = PetscOptionsIntArray("-sub_schurs_debug_ranks","Ranks to debug (all if the option is not used)",NULL,print_schurs_ranks,&nr,&flg);CHKERRQ(ierr); 454 if (!flg) print_schurs = PETSC_TRUE; 455 else { 456 print_schurs = PETSC_FALSE; 457 for (i=0;i<nr;i++) if (print_schurs_ranks[i] == (PetscInt)rank) { print_schurs = PETSC_TRUE; break; } 458 } 459 ierr = PetscOptionsEnd();CHKERRQ(ierr); 460 ierr = PetscFree(print_schurs_ranks);CHKERRQ(ierr); 461 if (print_schurs) { 462 char filename[256]; 463 464 ierr = PetscSNPrintf(filename,sizeof(filename),"sub_schurs_Schur_r%d.m",PetscGlobalRank);CHKERRQ(ierr); 465 ierr = PetscViewerASCIIOpen(PETSC_COMM_SELF,filename,&matl_dbg_viewer);CHKERRQ(ierr); 466 ierr = PetscViewerPushFormat(matl_dbg_viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 467 } 468 } 469 470 471 /* restrict work on active processes */ 472 if (sub_schurs->restrict_comm) { 473 PetscSubcomm subcomm; 474 PetscMPIInt color,rank; 475 476 color = 0; 477 if (!sub_schurs->n_subs) color = 1; /* this can happen if we are in a multilevel case or if the subdomain is disconnected */ 478 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&rank);CHKERRQ(ierr); 479 ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&subcomm);CHKERRQ(ierr); 480 ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr); 481 ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr); 482 ierr = PetscCommDuplicate(PetscSubcommChild(subcomm),&comm_n,NULL);CHKERRQ(ierr); 483 ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr); 484 if (!sub_schurs->n_subs) { 485 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 486 PetscFunctionReturn(0); 487 } 488 } else { 489 ierr = PetscCommDuplicate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&comm_n,NULL);CHKERRQ(ierr); 490 } 491 492 /* get Schur complement matrices */ 493 if (!sub_schurs->schur_explicit) { 494 Mat tA_IB,tA_BI,tA_BB; 495 PetscBool isseqsbaij; 496 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,&tA_IB,&tA_BI,&tA_BB);CHKERRQ(ierr); 497 ierr = PetscObjectTypeCompare((PetscObject)tA_BB,MATSEQSBAIJ,&isseqsbaij);CHKERRQ(ierr); 498 if (isseqsbaij) { 499 ierr = MatConvert(tA_BB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BB);CHKERRQ(ierr); 500 ierr = MatConvert(tA_IB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr); 501 ierr = MatConvert(tA_BI,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr); 502 } else { 503 ierr = PetscObjectReference((PetscObject)tA_BB);CHKERRQ(ierr); 504 A_BB = tA_BB; 505 ierr = PetscObjectReference((PetscObject)tA_IB);CHKERRQ(ierr); 506 A_IB = tA_IB; 507 ierr = PetscObjectReference((PetscObject)tA_BI);CHKERRQ(ierr); 508 A_BI = tA_BI; 509 } 510 } else { 511 A_II = NULL; 512 A_IB = NULL; 513 A_BI = NULL; 514 A_BB = NULL; 515 } 516 S_all = NULL; 517 518 /* determine interior problems */ 519 ierr = ISGetLocalSize(sub_schurs->is_I,&i);CHKERRQ(ierr); 520 if (nlayers >= 0 && i) { /* Interior problems can be different from the original one */ 521 PetscBT touched; 522 const PetscInt* idx_B; 523 PetscInt n_I,n_B,n_local_dofs,n_prev_added,j,layer,*local_numbering; 524 525 if (!xadj) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Cannot request layering without adjacency"); 526 /* get sizes */ 527 ierr = ISGetLocalSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 528 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 529 530 ierr = PetscMalloc1(n_I+n_B,&local_numbering);CHKERRQ(ierr); 531 ierr = PetscBTCreate(n_I+n_B,&touched);CHKERRQ(ierr); 532 ierr = PetscBTMemzero(n_I+n_B,touched);CHKERRQ(ierr); 533 534 /* all boundary dofs must be skipped when adding layers */ 535 ierr = ISGetIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 536 for (j=0;j<n_B;j++) { 537 ierr = PetscBTSet(touched,idx_B[j]);CHKERRQ(ierr); 538 } 539 ierr = PetscArraycpy(local_numbering,idx_B,n_B);CHKERRQ(ierr); 540 ierr = ISRestoreIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 541 542 /* add prescribed number of layers of dofs */ 543 n_local_dofs = n_B; 544 n_prev_added = n_B; 545 for (layer=0;layer<nlayers;layer++) { 546 PetscInt n_added; 547 if (n_local_dofs == n_I+n_B) break; 548 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); 549 ierr = PCBDDCAdjGetNextLayer_Private(local_numbering+n_local_dofs,n_prev_added,touched,xadj,adjncy,&n_added);CHKERRQ(ierr); 550 n_prev_added = n_added; 551 n_local_dofs += n_added; 552 if (!n_added) break; 553 } 554 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 555 556 /* IS for I layer dofs in original numbering */ 557 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); 558 ierr = PetscFree(local_numbering);CHKERRQ(ierr); 559 ierr = ISSort(is_I_layer);CHKERRQ(ierr); 560 /* IS for I layer dofs in I numbering */ 561 if (!sub_schurs->schur_explicit) { 562 ISLocalToGlobalMapping ItoNmap; 563 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_I,&ItoNmap);CHKERRQ(ierr); 564 ierr = ISGlobalToLocalMappingApplyIS(ItoNmap,IS_GTOLM_DROP,is_I_layer,&is_I);CHKERRQ(ierr); 565 ierr = ISLocalToGlobalMappingDestroy(&ItoNmap);CHKERRQ(ierr); 566 567 /* II block */ 568 ierr = MatCreateSubMatrix(A_II,is_I,is_I,MAT_INITIAL_MATRIX,&AE_II);CHKERRQ(ierr); 569 } 570 } else { 571 PetscInt n_I; 572 573 /* IS for I dofs in original numbering */ 574 ierr = PetscObjectReference((PetscObject)sub_schurs->is_I);CHKERRQ(ierr); 575 is_I_layer = sub_schurs->is_I; 576 577 /* IS for I dofs in I numbering (strided 1) */ 578 if (!sub_schurs->schur_explicit) { 579 ierr = ISGetSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 580 ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),n_I,0,1,&is_I);CHKERRQ(ierr); 581 582 /* II block is the same */ 583 ierr = PetscObjectReference((PetscObject)A_II);CHKERRQ(ierr); 584 AE_II = A_II; 585 } 586 } 587 588 /* Get info on subset sizes and sum of all subsets sizes */ 589 max_subset_size = 0; 590 local_size = 0; 591 for (i=0;i<sub_schurs->n_subs;i++) { 592 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 593 max_subset_size = PetscMax(subset_size,max_subset_size); 594 local_size += subset_size; 595 } 596 597 /* Work arrays for local indices */ 598 extra = 0; 599 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 600 if (sub_schurs->schur_explicit && is_I_layer) { 601 ierr = ISGetLocalSize(is_I_layer,&extra);CHKERRQ(ierr); 602 } 603 ierr = PetscMalloc1(n_B+extra,&all_local_idx_N);CHKERRQ(ierr); 604 if (extra) { 605 const PetscInt *idxs; 606 ierr = ISGetIndices(is_I_layer,&idxs);CHKERRQ(ierr); 607 ierr = PetscArraycpy(all_local_idx_N,idxs,extra);CHKERRQ(ierr); 608 ierr = ISRestoreIndices(is_I_layer,&idxs);CHKERRQ(ierr); 609 } 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 local_stash_size = 0; 616 for (i=0;i<sub_schurs->n_subs;i++) { 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*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 local_size += subset_size; 628 local_stash_size += subset_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 data 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_stash_size) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Invalid size of new subset! %D != %D",i,local_stash_size); 670 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,local_stash_size,NULL,&lstash);CHKERRQ(ierr); 671 ierr = VecCreateMPI(comm_n,PETSC_DECIDE,global_size,&gstash);CHKERRQ(ierr); 672 ierr = VecScatterCreate(lstash,NULL,gstash,all_subsets_n,&sstash);CHKERRQ(ierr); 673 ierr = ISDestroy(&all_subsets_n);CHKERRQ(ierr); 674 675 /* subset indices in local boundary numbering */ 676 if (!sub_schurs->is_Ej_all) { 677 PetscInt *all_local_idx_B; 678 679 ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr); 680 ierr = ISGlobalToLocalMappingApply(sub_schurs->BtoNmap,IS_GTOLM_DROP,local_size,all_local_idx_N+extra,&subset_size,all_local_idx_B);CHKERRQ(ierr); 681 if (subset_size != local_size) SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in sub_schurs serial (BtoNmap)! %D != %D",subset_size,local_size); 682 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&sub_schurs->is_Ej_all);CHKERRQ(ierr); 683 } 684 685 if (change) { 686 ISLocalToGlobalMapping BtoS; 687 IS change_primal_B; 688 IS change_primal_all; 689 690 if (sub_schurs->change_primal_sub) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 691 if (sub_schurs->change) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 692 ierr = PetscMalloc1(sub_schurs->n_subs,&sub_schurs->change_primal_sub);CHKERRQ(ierr); 693 for (i=0;i<sub_schurs->n_subs;i++) { 694 ISLocalToGlobalMapping NtoS; 695 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_subs[i],&NtoS);CHKERRQ(ierr); 696 ierr = ISGlobalToLocalMappingApplyIS(NtoS,IS_GTOLM_DROP,change_primal,&sub_schurs->change_primal_sub[i]);CHKERRQ(ierr); 697 ierr = ISLocalToGlobalMappingDestroy(&NtoS);CHKERRQ(ierr); 698 } 699 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,change_primal,&change_primal_B);CHKERRQ(ierr); 700 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_Ej_all,&BtoS);CHKERRQ(ierr); 701 ierr = ISGlobalToLocalMappingApplyIS(BtoS,IS_GTOLM_DROP,change_primal_B,&change_primal_all);CHKERRQ(ierr); 702 ierr = ISLocalToGlobalMappingDestroy(&BtoS);CHKERRQ(ierr); 703 ierr = ISDestroy(&change_primal_B);CHKERRQ(ierr); 704 ierr = PetscMalloc1(sub_schurs->n_subs,&sub_schurs->change);CHKERRQ(ierr); 705 for (i=0;i<sub_schurs->n_subs;i++) { 706 Mat change_sub; 707 708 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 709 ierr = KSPCreate(PETSC_COMM_SELF,&sub_schurs->change[i]);CHKERRQ(ierr); 710 ierr = KSPSetType(sub_schurs->change[i],KSPPREONLY);CHKERRQ(ierr); 711 if (!sub_schurs->change_with_qr) { 712 ierr = MatCreateSubMatrix(change,sub_schurs->is_subs[i],sub_schurs->is_subs[i],MAT_INITIAL_MATRIX,&change_sub);CHKERRQ(ierr); 713 } else { 714 Mat change_subt; 715 ierr = MatCreateSubMatrix(change,sub_schurs->is_subs[i],sub_schurs->is_subs[i],MAT_INITIAL_MATRIX,&change_subt);CHKERRQ(ierr); 716 ierr = MatConvert(change_subt,MATSEQDENSE,MAT_INITIAL_MATRIX,&change_sub);CHKERRQ(ierr); 717 ierr = MatDestroy(&change_subt);CHKERRQ(ierr); 718 } 719 ierr = KSPSetOperators(sub_schurs->change[i],change_sub,change_sub);CHKERRQ(ierr); 720 ierr = MatDestroy(&change_sub);CHKERRQ(ierr); 721 ierr = KSPSetOptionsPrefix(sub_schurs->change[i],sub_schurs->prefix);CHKERRQ(ierr); 722 ierr = KSPAppendOptionsPrefix(sub_schurs->change[i],"sub_schurs_change_");CHKERRQ(ierr); 723 } 724 ierr = ISDestroy(&change_primal_all);CHKERRQ(ierr); 725 } 726 727 /* Local matrix of all local Schur on subsets (transposed) */ 728 if (!sub_schurs->S_Ej_all) { 729 Mat T; 730 PetscScalar *v; 731 PetscInt *ii,*jj; 732 PetscInt cum,i,j,k; 733 734 /* MatSeqAIJSetPreallocation + MatSetValues is slow for these kind of matrices (may have large blocks) 735 Allocate properly a representative matrix and duplicate */ 736 ierr = PetscMalloc3(local_size+1,&ii,local_stash_size,&jj,local_stash_size,&v);CHKERRQ(ierr); 737 ii[0] = 0; 738 cum = 0; 739 for (i=0;i<sub_schurs->n_subs;i++) { 740 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 741 for (j=0;j<subset_size;j++) { 742 const PetscInt row = cum+j; 743 PetscInt col = cum; 744 745 ii[row+1] = ii[row] + subset_size; 746 for (k=ii[row];k<ii[row+1];k++) { 747 jj[k] = col; 748 col++; 749 } 750 } 751 cum += subset_size; 752 } 753 ierr = MatCreateSeqAIJWithArrays(PETSC_COMM_SELF,local_size,local_size,ii,jj,v,&T);CHKERRQ(ierr); 754 ierr = MatDuplicate(T,MAT_DO_NOT_COPY_VALUES,&sub_schurs->S_Ej_all);CHKERRQ(ierr); 755 ierr = MatDestroy(&T);CHKERRQ(ierr); 756 ierr = PetscFree3(ii,jj,v);CHKERRQ(ierr); 757 } 758 /* matrices for deluxe scaling and adaptive selection */ 759 if (compute_Stilda) { 760 if (!sub_schurs->sum_S_Ej_tilda_all) { 761 ierr = MatDuplicate(sub_schurs->S_Ej_all,MAT_DO_NOT_COPY_VALUES,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 762 } 763 if (!sub_schurs->sum_S_Ej_inv_all && deluxe) { 764 ierr = MatDuplicate(sub_schurs->S_Ej_all,MAT_DO_NOT_COPY_VALUES,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 765 } 766 } 767 768 /* Compute Schur complements explicitly */ 769 F = NULL; 770 if (!sub_schurs->schur_explicit) { 771 /* this code branch is used when MatFactor with Schur complement support is not present or when explicitly requested; 772 it is not efficient, unless the economic version of the scaling is used */ 773 Mat S_Ej_expl; 774 PetscScalar *work; 775 PetscInt j,*dummy_idx; 776 PetscBool Sdense; 777 778 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 779 local_size = 0; 780 for (i=0;i<sub_schurs->n_subs;i++) { 781 IS is_subset_B; 782 Mat AE_EE,AE_IE,AE_EI,S_Ej; 783 784 /* subsets in original and boundary numbering */ 785 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_subs[i],&is_subset_B);CHKERRQ(ierr); 786 /* EE block */ 787 ierr = MatCreateSubMatrix(A_BB,is_subset_B,is_subset_B,MAT_INITIAL_MATRIX,&AE_EE);CHKERRQ(ierr); 788 /* IE block */ 789 ierr = MatCreateSubMatrix(A_IB,is_I,is_subset_B,MAT_INITIAL_MATRIX,&AE_IE);CHKERRQ(ierr); 790 /* EI block */ 791 if (sub_schurs->is_symmetric) { 792 ierr = MatCreateTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 793 } else if (sub_schurs->is_hermitian) { 794 ierr = MatCreateHermitianTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 795 } else { 796 ierr = MatCreateSubMatrix(A_BI,is_subset_B,is_I,MAT_INITIAL_MATRIX,&AE_EI);CHKERRQ(ierr); 797 } 798 ierr = ISDestroy(&is_subset_B);CHKERRQ(ierr); 799 ierr = MatCreateSchurComplement(AE_II,AE_II,AE_IE,AE_EI,AE_EE,&S_Ej);CHKERRQ(ierr); 800 ierr = MatDestroy(&AE_EE);CHKERRQ(ierr); 801 ierr = MatDestroy(&AE_IE);CHKERRQ(ierr); 802 ierr = MatDestroy(&AE_EI);CHKERRQ(ierr); 803 if (AE_II == A_II) { /* we can reuse the same ksp */ 804 KSP ksp; 805 ierr = MatSchurComplementGetKSP(sub_schurs->S,&ksp);CHKERRQ(ierr); 806 ierr = MatSchurComplementSetKSP(S_Ej,ksp);CHKERRQ(ierr); 807 } else { /* build new ksp object which inherits ksp and pc types from the original one */ 808 KSP origksp,schurksp; 809 PC origpc,schurpc; 810 KSPType ksp_type; 811 PetscInt n_internal; 812 PetscBool ispcnone; 813 814 ierr = MatSchurComplementGetKSP(sub_schurs->S,&origksp);CHKERRQ(ierr); 815 ierr = MatSchurComplementGetKSP(S_Ej,&schurksp);CHKERRQ(ierr); 816 ierr = KSPGetType(origksp,&ksp_type);CHKERRQ(ierr); 817 ierr = KSPSetType(schurksp,ksp_type);CHKERRQ(ierr); 818 ierr = KSPGetPC(schurksp,&schurpc);CHKERRQ(ierr); 819 ierr = KSPGetPC(origksp,&origpc);CHKERRQ(ierr); 820 ierr = PetscObjectTypeCompare((PetscObject)origpc,PCNONE,&ispcnone);CHKERRQ(ierr); 821 if (!ispcnone) { 822 PCType pc_type; 823 ierr = PCGetType(origpc,&pc_type);CHKERRQ(ierr); 824 ierr = PCSetType(schurpc,pc_type);CHKERRQ(ierr); 825 } else { 826 ierr = PCSetType(schurpc,PCLU);CHKERRQ(ierr); 827 } 828 ierr = ISGetSize(is_I,&n_internal);CHKERRQ(ierr); 829 if (!n_internal) { /* UMFPACK gives error with 0 sized problems */ 830 MatSolverType solver = NULL; 831 ierr = PCFactorGetMatSolverType(origpc,(MatSolverType*)&solver);CHKERRQ(ierr); 832 if (solver) { 833 ierr = PCFactorSetMatSolverType(schurpc,solver);CHKERRQ(ierr); 834 } 835 } 836 ierr = KSPSetUp(schurksp);CHKERRQ(ierr); 837 } 838 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 839 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej_expl);CHKERRQ(ierr); 840 ierr = PCBDDCComputeExplicitSchur(S_Ej,sub_schurs->is_symmetric,MAT_REUSE_MATRIX,&S_Ej_expl);CHKERRQ(ierr); 841 ierr = PetscObjectTypeCompare((PetscObject)S_Ej_expl,MATSEQDENSE,&Sdense);CHKERRQ(ierr); 842 if (Sdense) { 843 for (j=0;j<subset_size;j++) { 844 dummy_idx[j]=local_size+j; 845 } 846 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 847 } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet implemented for sparse matrices"); 848 ierr = MatDestroy(&S_Ej);CHKERRQ(ierr); 849 ierr = MatDestroy(&S_Ej_expl);CHKERRQ(ierr); 850 local_size += subset_size; 851 } 852 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 853 /* free */ 854 ierr = ISDestroy(&is_I);CHKERRQ(ierr); 855 ierr = MatDestroy(&AE_II);CHKERRQ(ierr); 856 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 857 } else { 858 Mat A,cs_AIB_mat = NULL,benign_AIIm1_ones_mat = NULL; 859 Vec Dall = NULL; 860 IS is_A_all,*is_p_r = NULL; 861 MatType Stype; 862 PetscScalar *work,*S_data,*schur_factor,infty = PETSC_MAX_REAL; 863 PetscScalar *SEj_arr = NULL,*SEjinv_arr = NULL; 864 const PetscScalar *rS_data; 865 PetscInt n,n_I,size_schur,size_active_schur,cum,cum2; 866 PetscBool economic,solver_S,S_lower_triangular = PETSC_FALSE; 867 PetscBool schur_has_vertices,factor_workaround; 868 PetscBool use_cholesky; 869 #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA) 870 PetscBool oldpin; 871 #endif 872 873 /* get sizes */ 874 n_I = 0; 875 if (is_I_layer) { 876 ierr = ISGetLocalSize(is_I_layer,&n_I);CHKERRQ(ierr); 877 } 878 economic = PETSC_FALSE; 879 ierr = ISGetLocalSize(sub_schurs->is_I,&cum);CHKERRQ(ierr); 880 if (cum != n_I) economic = PETSC_TRUE; 881 ierr = MatGetLocalSize(sub_schurs->A,&n,NULL);CHKERRQ(ierr); 882 size_active_schur = local_size; 883 884 /* import scaling vector (wrong formulation if we have 3D edges) */ 885 if (scaling && compute_Stilda) { 886 const PetscScalar *array; 887 PetscScalar *array2; 888 const PetscInt *idxs; 889 PetscInt i; 890 891 ierr = ISGetIndices(sub_schurs->is_Ej_all,&idxs);CHKERRQ(ierr); 892 ierr = VecCreateSeq(PETSC_COMM_SELF,size_active_schur,&Dall);CHKERRQ(ierr); 893 ierr = VecGetArrayRead(scaling,&array);CHKERRQ(ierr); 894 ierr = VecGetArray(Dall,&array2);CHKERRQ(ierr); 895 for (i=0;i<size_active_schur;i++) array2[i] = array[idxs[i]]; 896 ierr = VecRestoreArray(Dall,&array2);CHKERRQ(ierr); 897 ierr = VecRestoreArrayRead(scaling,&array);CHKERRQ(ierr); 898 ierr = ISRestoreIndices(sub_schurs->is_Ej_all,&idxs);CHKERRQ(ierr); 899 deluxe = PETSC_FALSE; 900 } 901 902 /* size active schurs does not count any dirichlet or vertex dof on the interface */ 903 factor_workaround = PETSC_FALSE; 904 schur_has_vertices = PETSC_FALSE; 905 cum = n_I+size_active_schur; 906 if (sub_schurs->is_dir) { 907 const PetscInt* idxs; 908 PetscInt n_dir; 909 910 ierr = ISGetLocalSize(sub_schurs->is_dir,&n_dir);CHKERRQ(ierr); 911 ierr = ISGetIndices(sub_schurs->is_dir,&idxs);CHKERRQ(ierr); 912 ierr = PetscArraycpy(all_local_idx_N+cum,idxs,n_dir);CHKERRQ(ierr); 913 ierr = ISRestoreIndices(sub_schurs->is_dir,&idxs);CHKERRQ(ierr); 914 cum += n_dir; 915 factor_workaround = PETSC_TRUE; 916 } 917 /* include the primal vertices in the Schur complement */ 918 if (exact_schur && sub_schurs->is_vertices && (compute_Stilda || benign_n)) { 919 PetscInt n_v; 920 921 ierr = ISGetLocalSize(sub_schurs->is_vertices,&n_v);CHKERRQ(ierr); 922 if (n_v) { 923 const PetscInt* idxs; 924 925 ierr = ISGetIndices(sub_schurs->is_vertices,&idxs);CHKERRQ(ierr); 926 ierr = PetscArraycpy(all_local_idx_N+cum,idxs,n_v);CHKERRQ(ierr); 927 ierr = ISRestoreIndices(sub_schurs->is_vertices,&idxs);CHKERRQ(ierr); 928 cum += n_v; 929 factor_workaround = PETSC_TRUE; 930 schur_has_vertices = PETSC_TRUE; 931 } 932 } 933 size_schur = cum - n_I; 934 ierr = ISCreateGeneral(PETSC_COMM_SELF,cum,all_local_idx_N,PETSC_OWN_POINTER,&is_A_all);CHKERRQ(ierr); 935 #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA) 936 oldpin = sub_schurs->A->boundtocpu; 937 ierr = MatBindToCPU(sub_schurs->A,PETSC_TRUE);CHKERRQ(ierr); 938 #endif 939 if (cum == n) { 940 ierr = ISSetPermutation(is_A_all);CHKERRQ(ierr); 941 ierr = MatPermute(sub_schurs->A,is_A_all,is_A_all,&A);CHKERRQ(ierr); 942 } else { 943 ierr = MatCreateSubMatrix(sub_schurs->A,is_A_all,is_A_all,MAT_INITIAL_MATRIX,&A);CHKERRQ(ierr); 944 } 945 #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA) 946 ierr = MatBindToCPU(sub_schurs->A,oldpin);CHKERRQ(ierr); 947 #endif 948 ierr = MatSetOptionsPrefix(A,sub_schurs->prefix);CHKERRQ(ierr); 949 ierr = MatAppendOptionsPrefix(A,"sub_schurs_");CHKERRQ(ierr); 950 951 /* if we actually change the basis for the pressures, LDL^T factors will use a lot of memory 952 this is a workaround */ 953 if (benign_n) { 954 Vec v,benign_AIIm1_ones; 955 ISLocalToGlobalMapping N_to_reor; 956 IS is_p0,is_p0_p; 957 PetscScalar *cs_AIB,*AIIm1_data; 958 PetscInt sizeA; 959 960 ierr = ISLocalToGlobalMappingCreateIS(is_A_all,&N_to_reor);CHKERRQ(ierr); 961 ierr = ISCreateGeneral(PETSC_COMM_SELF,benign_n,benign_p0_lidx,PETSC_COPY_VALUES,&is_p0);CHKERRQ(ierr); 962 ierr = ISGlobalToLocalMappingApplyIS(N_to_reor,IS_GTOLM_DROP,is_p0,&is_p0_p);CHKERRQ(ierr); 963 ierr = ISDestroy(&is_p0);CHKERRQ(ierr); 964 ierr = MatCreateVecs(A,&v,&benign_AIIm1_ones);CHKERRQ(ierr); 965 ierr = VecGetSize(v,&sizeA);CHKERRQ(ierr); 966 ierr = MatCreateSeqDense(PETSC_COMM_SELF,sizeA,benign_n,NULL,&benign_AIIm1_ones_mat);CHKERRQ(ierr); 967 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_schur,benign_n,NULL,&cs_AIB_mat);CHKERRQ(ierr); 968 ierr = MatDenseGetArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 969 ierr = MatDenseGetArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 970 ierr = PetscMalloc1(benign_n,&is_p_r);CHKERRQ(ierr); 971 /* compute colsum of A_IB restricted to pressures */ 972 for (i=0;i<benign_n;i++) { 973 const PetscScalar *array; 974 const PetscInt *idxs; 975 PetscInt j,nz; 976 977 ierr = ISGlobalToLocalMappingApplyIS(N_to_reor,IS_GTOLM_DROP,benign_zerodiag_subs[i],&is_p_r[i]);CHKERRQ(ierr); 978 ierr = ISGetLocalSize(is_p_r[i],&nz);CHKERRQ(ierr); 979 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 980 for (j=0;j<nz;j++) AIIm1_data[idxs[j]+sizeA*i] = 1.; 981 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 982 ierr = VecPlaceArray(benign_AIIm1_ones,AIIm1_data+sizeA*i);CHKERRQ(ierr); 983 ierr = MatMult(A,benign_AIIm1_ones,v);CHKERRQ(ierr); 984 ierr = VecResetArray(benign_AIIm1_ones);CHKERRQ(ierr); 985 ierr = VecGetArrayRead(v,&array);CHKERRQ(ierr); 986 for (j=0;j<size_schur;j++) { 987 #if defined(PETSC_USE_COMPLEX) 988 cs_AIB[i*size_schur + j] = (PetscRealPart(array[j+n_I])/nz + PETSC_i*(PetscImaginaryPart(array[j+n_I])/nz)); 989 #else 990 cs_AIB[i*size_schur + j] = array[j+n_I]/nz; 991 #endif 992 } 993 ierr = VecRestoreArrayRead(v,&array);CHKERRQ(ierr); 994 } 995 ierr = MatDenseRestoreArray(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 996 ierr = MatDenseRestoreArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 997 ierr = VecDestroy(&v);CHKERRQ(ierr); 998 ierr = VecDestroy(&benign_AIIm1_ones);CHKERRQ(ierr); 999 ierr = MatSetOption(A,MAT_KEEP_NONZERO_PATTERN,PETSC_FALSE);CHKERRQ(ierr); 1000 ierr = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr); 1001 ierr = MatSetOption(A,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr); 1002 ierr = MatZeroRowsColumnsIS(A,is_p0_p,1.0,NULL,NULL);CHKERRQ(ierr); 1003 ierr = ISDestroy(&is_p0_p);CHKERRQ(ierr); 1004 ierr = ISLocalToGlobalMappingDestroy(&N_to_reor);CHKERRQ(ierr); 1005 } 1006 ierr = MatSetOption(A,MAT_SYMMETRIC,sub_schurs->is_symmetric);CHKERRQ(ierr); 1007 ierr = MatSetOption(A,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr); 1008 ierr = MatSetOption(A,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr); 1009 1010 /* for complexes, symmetric and hermitian at the same time implies null imaginary part */ 1011 use_cholesky = (PetscBool)((use_potr || use_sytr) && sub_schurs->is_hermitian && sub_schurs->is_symmetric); 1012 1013 /* when using the benign subspace trick, the local Schur complements are SPD */ 1014 if (benign_trick) sub_schurs->is_posdef = PETSC_TRUE; 1015 1016 if (n_I) { 1017 IS is_schur; 1018 char stype[64]; 1019 PetscBool gpu; 1020 1021 if (use_cholesky) { 1022 ierr = MatGetFactor(A,sub_schurs->mat_solver_type,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr); 1023 } else { 1024 ierr = MatGetFactor(A,sub_schurs->mat_solver_type,MAT_FACTOR_LU,&F);CHKERRQ(ierr); 1025 } 1026 ierr = MatSetErrorIfFailure(A,PETSC_TRUE);CHKERRQ(ierr); 1027 1028 /* subsets ordered last */ 1029 ierr = ISCreateStride(PETSC_COMM_SELF,size_schur,n_I,1,&is_schur);CHKERRQ(ierr); 1030 ierr = MatFactorSetSchurIS(F,is_schur);CHKERRQ(ierr); 1031 ierr = ISDestroy(&is_schur);CHKERRQ(ierr); 1032 1033 /* factorization step */ 1034 if (use_cholesky) { 1035 ierr = MatCholeskyFactorSymbolic(F,A,NULL,NULL);CHKERRQ(ierr); 1036 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */ 1037 ierr = MatMumpsSetIcntl(F,19,2);CHKERRQ(ierr); 1038 #endif 1039 ierr = MatCholeskyFactorNumeric(F,A,NULL);CHKERRQ(ierr); 1040 S_lower_triangular = PETSC_TRUE; 1041 } else { 1042 ierr = MatLUFactorSymbolic(F,A,NULL,NULL,NULL);CHKERRQ(ierr); 1043 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */ 1044 ierr = MatMumpsSetIcntl(F,19,3);CHKERRQ(ierr); 1045 #endif 1046 ierr = MatLUFactorNumeric(F,A,NULL);CHKERRQ(ierr); 1047 } 1048 ierr = MatViewFromOptions(F,(PetscObject)A,"-mat_factor_view");CHKERRQ(ierr); 1049 1050 if (matl_dbg_viewer) { 1051 Mat S; 1052 IS is; 1053 1054 ierr = PetscObjectSetName((PetscObject)A,"A");CHKERRQ(ierr); 1055 ierr = MatView(A,matl_dbg_viewer);CHKERRQ(ierr); 1056 ierr = MatFactorCreateSchurComplement(F,&S,NULL);CHKERRQ(ierr); 1057 ierr = PetscObjectSetName((PetscObject)S,"S");CHKERRQ(ierr); 1058 ierr = MatView(S,matl_dbg_viewer);CHKERRQ(ierr); 1059 ierr = MatDestroy(&S);CHKERRQ(ierr); 1060 ierr = ISCreateStride(PETSC_COMM_SELF,n_I,0,1,&is);CHKERRQ(ierr); 1061 ierr = PetscObjectSetName((PetscObject)is,"I");CHKERRQ(ierr); 1062 ierr = ISView(is,matl_dbg_viewer);CHKERRQ(ierr); 1063 ierr = ISDestroy(&is);CHKERRQ(ierr); 1064 ierr = ISCreateStride(PETSC_COMM_SELF,size_schur,n_I,1,&is);CHKERRQ(ierr); 1065 ierr = PetscObjectSetName((PetscObject)is,"B");CHKERRQ(ierr); 1066 ierr = ISView(is,matl_dbg_viewer);CHKERRQ(ierr); 1067 ierr = ISDestroy(&is);CHKERRQ(ierr); 1068 ierr = PetscObjectSetName((PetscObject)is_A_all,"IA");CHKERRQ(ierr); 1069 ierr = ISView(is_A_all,matl_dbg_viewer);CHKERRQ(ierr); 1070 } 1071 1072 /* get explicit Schur Complement computed during numeric factorization */ 1073 ierr = MatFactorGetSchurComplement(F,&S_all,NULL);CHKERRQ(ierr); 1074 ierr = PetscStrncpy(stype,MATSEQDENSE,sizeof(stype));CHKERRQ(ierr); 1075 ierr = PetscObjectTypeCompareAny((PetscObject)A,&gpu,MATSEQAIJVIENNACL,MATSEQAIJCUSPARSE,"");CHKERRQ(ierr); 1076 if (gpu) { 1077 ierr = PetscStrncpy(stype,MATSEQDENSECUDA,sizeof(stype));CHKERRQ(ierr); 1078 } 1079 ierr = PetscOptionsGetString(NULL,sub_schurs->prefix,"-sub_schurs_schur_mat_type",stype,sizeof(stype),NULL);CHKERRQ(ierr); 1080 ierr = MatConvert(S_all,stype,MAT_INPLACE_MATRIX,&S_all);CHKERRQ(ierr); 1081 ierr = MatSetOption(S_all,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr); 1082 ierr = MatSetOption(S_all,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr); 1083 ierr = MatGetType(S_all,&Stype);CHKERRQ(ierr); 1084 1085 /* we can reuse the solvers if we are not using the economic version */ 1086 reuse_solvers = (PetscBool)(reuse_solvers && !economic); 1087 factor_workaround = (PetscBool)(reuse_solvers && factor_workaround); 1088 if (!sub_schurs->is_posdef && factor_workaround && compute_Stilda && size_active_schur) 1089 reuse_solvers = factor_workaround = PETSC_FALSE; 1090 1091 solver_S = PETSC_TRUE; 1092 1093 /* update the Schur complement with the change of basis on the pressures */ 1094 if (benign_n) { 1095 const PetscScalar *cs_AIB; 1096 PetscScalar *S_data,*AIIm1_data; 1097 Mat S2 = NULL,S3 = NULL; /* dbg */ 1098 PetscScalar *S2_data,*S3_data; /* dbg */ 1099 Vec v,benign_AIIm1_ones; 1100 PetscInt sizeA; 1101 1102 ierr = MatDenseGetArray(S_all,&S_data);CHKERRQ(ierr); 1103 ierr = MatCreateVecs(A,&v,&benign_AIIm1_ones);CHKERRQ(ierr); 1104 ierr = VecGetSize(v,&sizeA);CHKERRQ(ierr); 1105 #if defined(PETSC_HAVE_MUMPS) 1106 ierr = MatMumpsSetIcntl(F,26,0);CHKERRQ(ierr); 1107 #endif 1108 #if defined(PETSC_HAVE_MKL_PARDISO) 1109 ierr = MatMkl_PardisoSetCntl(F,70,1);CHKERRQ(ierr); 1110 #endif 1111 ierr = MatDenseGetArrayRead(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 1112 ierr = MatDenseGetArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 1113 if (matl_dbg_viewer) { 1114 ierr = MatDuplicate(S_all,MAT_DO_NOT_COPY_VALUES,&S2);CHKERRQ(ierr); 1115 ierr = MatDuplicate(S_all,MAT_DO_NOT_COPY_VALUES,&S3);CHKERRQ(ierr); 1116 ierr = MatDenseGetArray(S2,&S2_data);CHKERRQ(ierr); 1117 ierr = MatDenseGetArray(S3,&S3_data);CHKERRQ(ierr); 1118 } 1119 for (i=0;i<benign_n;i++) { 1120 PetscScalar *array,sum = 0.,one = 1.,*sums; 1121 const PetscInt *idxs; 1122 PetscInt k,j,nz; 1123 PetscBLASInt B_k,B_n; 1124 1125 ierr = PetscCalloc1(benign_n,&sums);CHKERRQ(ierr); 1126 ierr = VecPlaceArray(benign_AIIm1_ones,AIIm1_data+sizeA*i);CHKERRQ(ierr); 1127 ierr = VecCopy(benign_AIIm1_ones,v);CHKERRQ(ierr); 1128 ierr = MatSolve(F,v,benign_AIIm1_ones);CHKERRQ(ierr); 1129 ierr = MatMult(A,benign_AIIm1_ones,v);CHKERRQ(ierr); 1130 ierr = VecResetArray(benign_AIIm1_ones);CHKERRQ(ierr); 1131 /* p0 dofs (eliminated) are excluded from the sums */ 1132 for (k=0;k<benign_n;k++) { 1133 ierr = ISGetLocalSize(is_p_r[k],&nz);CHKERRQ(ierr); 1134 ierr = ISGetIndices(is_p_r[k],&idxs);CHKERRQ(ierr); 1135 for (j=0;j<nz-1;j++) sums[k] -= AIIm1_data[idxs[j]+sizeA*i]; 1136 ierr = ISRestoreIndices(is_p_r[k],&idxs);CHKERRQ(ierr); 1137 } 1138 ierr = VecGetArrayRead(v,(const PetscScalar**)&array);CHKERRQ(ierr); 1139 if (matl_dbg_viewer) { 1140 Vec vv; 1141 char name[16]; 1142 1143 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,size_schur,array+n_I,&vv);CHKERRQ(ierr); 1144 ierr = PetscSNPrintf(name,sizeof(name),"Pvs%D",i);CHKERRQ(ierr); 1145 ierr = PetscObjectSetName((PetscObject)vv,name);CHKERRQ(ierr); 1146 ierr = VecView(vv,matl_dbg_viewer);CHKERRQ(ierr); 1147 } 1148 /* perform sparse rank updates on symmetric Schur (TODO: move outside of the loop?) */ 1149 /* cs_AIB already scaled by 1./nz */ 1150 B_k = 1; 1151 for (k=0;k<benign_n;k++) { 1152 sum = sums[k]; 1153 ierr = PetscBLASIntCast(size_schur,&B_n);CHKERRQ(ierr); 1154 1155 if (PetscAbsScalar(sum) == 0.0) continue; 1156 if (k == i) { 1157 PetscStackCallBLAS("BLASsyrk",BLASsyrk_("L","N",&B_n,&B_k,&sum,cs_AIB+i*size_schur,&B_n,&one,S_data,&B_n)); 1158 if (matl_dbg_viewer) { 1159 PetscStackCallBLAS("BLASsyrk",BLASsyrk_("L","N",&B_n,&B_k,&sum,cs_AIB+i*size_schur,&B_n,&one,S3_data,&B_n)); 1160 } 1161 } else { /* XXX Is it correct to use symmetric rank-2 update with half of the sum? */ 1162 sum /= 2.0; 1163 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)); 1164 if (matl_dbg_viewer) { 1165 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)); 1166 } 1167 } 1168 } 1169 sum = 1.; 1170 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)); 1171 if (matl_dbg_viewer) { 1172 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)); 1173 } 1174 ierr = VecRestoreArrayRead(v,(const PetscScalar**)&array);CHKERRQ(ierr); 1175 /* set p0 entry of AIIm1_ones to zero */ 1176 ierr = ISGetLocalSize(is_p_r[i],&nz);CHKERRQ(ierr); 1177 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1178 for (j=0;j<benign_n;j++) AIIm1_data[idxs[nz-1]+sizeA*j] = 0.; 1179 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 1180 ierr = PetscFree(sums);CHKERRQ(ierr); 1181 } 1182 ierr = VecDestroy(&benign_AIIm1_ones);CHKERRQ(ierr); 1183 if (matl_dbg_viewer) { 1184 ierr = MatDenseRestoreArray(S2,&S2_data);CHKERRQ(ierr); 1185 ierr = MatDenseRestoreArray(S3,&S3_data);CHKERRQ(ierr); 1186 } 1187 if (!S_lower_triangular) { /* I need to expand the upper triangular data (column oriented) */ 1188 PetscInt k,j; 1189 for (k=0;k<size_schur;k++) { 1190 for (j=k;j<size_schur;j++) { 1191 S_data[j*size_schur+k] = PetscConj(S_data[k*size_schur+j]); 1192 } 1193 } 1194 } 1195 1196 /* restore defaults */ 1197 #if defined(PETSC_HAVE_MUMPS) 1198 ierr = MatMumpsSetIcntl(F,26,-1);CHKERRQ(ierr); 1199 #endif 1200 #if defined(PETSC_HAVE_MKL_PARDISO) 1201 ierr = MatMkl_PardisoSetCntl(F,70,0);CHKERRQ(ierr); 1202 #endif 1203 ierr = MatDenseRestoreArrayRead(cs_AIB_mat,&cs_AIB);CHKERRQ(ierr); 1204 ierr = MatDenseRestoreArray(benign_AIIm1_ones_mat,&AIIm1_data);CHKERRQ(ierr); 1205 ierr = VecDestroy(&v);CHKERRQ(ierr); 1206 ierr = MatDenseRestoreArray(S_all,&S_data);CHKERRQ(ierr); 1207 if (matl_dbg_viewer) { 1208 Mat S; 1209 1210 ierr = MatFactorRestoreSchurComplement(F,&S_all,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr); 1211 ierr = MatFactorCreateSchurComplement(F,&S,NULL);CHKERRQ(ierr); 1212 ierr = PetscObjectSetName((PetscObject)S,"Sb");CHKERRQ(ierr); 1213 ierr = MatView(S,matl_dbg_viewer);CHKERRQ(ierr); 1214 ierr = MatDestroy(&S);CHKERRQ(ierr); 1215 ierr = PetscObjectSetName((PetscObject)S2,"S2P");CHKERRQ(ierr); 1216 ierr = MatView(S2,matl_dbg_viewer);CHKERRQ(ierr); 1217 ierr = PetscObjectSetName((PetscObject)S3,"S3P");CHKERRQ(ierr); 1218 ierr = MatView(S3,matl_dbg_viewer);CHKERRQ(ierr); 1219 ierr = PetscObjectSetName((PetscObject)cs_AIB_mat,"cs");CHKERRQ(ierr); 1220 ierr = MatView(cs_AIB_mat,matl_dbg_viewer);CHKERRQ(ierr); 1221 ierr = MatFactorGetSchurComplement(F,&S_all,NULL);CHKERRQ(ierr); 1222 } 1223 ierr = MatDestroy(&S2);CHKERRQ(ierr); 1224 ierr = MatDestroy(&S3);CHKERRQ(ierr); 1225 } 1226 if (!reuse_solvers) { 1227 for (i=0;i<benign_n;i++) { 1228 ierr = ISDestroy(&is_p_r[i]);CHKERRQ(ierr); 1229 } 1230 ierr = PetscFree(is_p_r);CHKERRQ(ierr); 1231 ierr = MatDestroy(&cs_AIB_mat);CHKERRQ(ierr); 1232 ierr = MatDestroy(&benign_AIIm1_ones_mat);CHKERRQ(ierr); 1233 } 1234 } else { /* we can't use MatFactor when size_schur == size_of_the_problem */ 1235 ierr = MatConvert(A,MATSEQDENSE,MAT_INITIAL_MATRIX,&S_all);CHKERRQ(ierr); 1236 ierr = MatGetType(S_all,&Stype);CHKERRQ(ierr); 1237 reuse_solvers = PETSC_FALSE; /* TODO: why we can't reuse the solvers here? */ 1238 factor_workaround = PETSC_FALSE; 1239 solver_S = PETSC_FALSE; 1240 } 1241 1242 if (reuse_solvers) { 1243 Mat A_II,Afake; 1244 Vec vec1_B; 1245 PCBDDCReuseSolvers msolv_ctx; 1246 PetscInt n_R; 1247 1248 if (sub_schurs->reuse_solver) { 1249 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 1250 } else { 1251 ierr = PetscNew(&sub_schurs->reuse_solver);CHKERRQ(ierr); 1252 } 1253 msolv_ctx = sub_schurs->reuse_solver; 1254 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,NULL,NULL,NULL);CHKERRQ(ierr); 1255 ierr = PetscObjectReference((PetscObject)F);CHKERRQ(ierr); 1256 msolv_ctx->F = F; 1257 ierr = MatCreateVecs(F,&msolv_ctx->sol,NULL);CHKERRQ(ierr); 1258 /* currently PETSc has no support for MatSolve(F,x,x), so cheat and let rhs and sol share the same memory */ 1259 { 1260 PetscScalar *array; 1261 PetscInt n; 1262 1263 ierr = VecGetLocalSize(msolv_ctx->sol,&n);CHKERRQ(ierr); 1264 ierr = VecGetArray(msolv_ctx->sol,&array);CHKERRQ(ierr); 1265 ierr = VecCreateSeqWithArray(PetscObjectComm((PetscObject)msolv_ctx->sol),1,n,array,&msolv_ctx->rhs);CHKERRQ(ierr); 1266 ierr = VecRestoreArray(msolv_ctx->sol,&array);CHKERRQ(ierr); 1267 } 1268 msolv_ctx->has_vertices = schur_has_vertices; 1269 1270 /* interior solver */ 1271 ierr = PCCreate(PetscObjectComm((PetscObject)A_II),&msolv_ctx->interior_solver);CHKERRQ(ierr); 1272 ierr = PCSetOperators(msolv_ctx->interior_solver,A_II,A_II);CHKERRQ(ierr); 1273 ierr = PCSetType(msolv_ctx->interior_solver,PCSHELL);CHKERRQ(ierr); 1274 ierr = PCShellSetName(msolv_ctx->interior_solver,"Interior solver (w/o Schur factorization)");CHKERRQ(ierr); 1275 ierr = PCShellSetContext(msolv_ctx->interior_solver,msolv_ctx);CHKERRQ(ierr); 1276 ierr = PCShellSetView(msolv_ctx->interior_solver,PCBDDCReuseSolvers_View);CHKERRQ(ierr); 1277 ierr = PCShellSetApply(msolv_ctx->interior_solver,PCBDDCReuseSolvers_Interior);CHKERRQ(ierr); 1278 ierr = PCShellSetApplyTranspose(msolv_ctx->interior_solver,PCBDDCReuseSolvers_InteriorTranspose);CHKERRQ(ierr); 1279 1280 /* correction solver */ 1281 ierr = PCCreate(PetscObjectComm((PetscObject)A_II),&msolv_ctx->correction_solver);CHKERRQ(ierr); 1282 ierr = PCSetType(msolv_ctx->correction_solver,PCSHELL);CHKERRQ(ierr); 1283 ierr = PCShellSetName(msolv_ctx->correction_solver,"Correction solver (with Schur factorization)");CHKERRQ(ierr); 1284 ierr = PCShellSetContext(msolv_ctx->correction_solver,msolv_ctx);CHKERRQ(ierr); 1285 ierr = PCShellSetView(msolv_ctx->interior_solver,PCBDDCReuseSolvers_View);CHKERRQ(ierr); 1286 ierr = PCShellSetApply(msolv_ctx->correction_solver,PCBDDCReuseSolvers_Correction);CHKERRQ(ierr); 1287 ierr = PCShellSetApplyTranspose(msolv_ctx->correction_solver,PCBDDCReuseSolvers_CorrectionTranspose);CHKERRQ(ierr); 1288 1289 /* scatter and vecs for Schur complement solver */ 1290 ierr = MatCreateVecs(S_all,&msolv_ctx->sol_B,&msolv_ctx->rhs_B);CHKERRQ(ierr); 1291 ierr = MatCreateVecs(sub_schurs->S,&vec1_B,NULL);CHKERRQ(ierr); 1292 if (!schur_has_vertices) { 1293 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,is_A_all,&msolv_ctx->is_B);CHKERRQ(ierr); 1294 ierr = VecScatterCreate(vec1_B,msolv_ctx->is_B,msolv_ctx->sol_B,NULL,&msolv_ctx->correction_scatter_B);CHKERRQ(ierr); 1295 ierr = PetscObjectReference((PetscObject)is_A_all);CHKERRQ(ierr); 1296 msolv_ctx->is_R = is_A_all; 1297 } else { 1298 IS is_B_all; 1299 const PetscInt* idxs; 1300 PetscInt dual,n_v,n; 1301 1302 ierr = ISGetLocalSize(sub_schurs->is_vertices,&n_v);CHKERRQ(ierr); 1303 dual = size_schur - n_v; 1304 ierr = ISGetLocalSize(is_A_all,&n);CHKERRQ(ierr); 1305 ierr = ISGetIndices(is_A_all,&idxs);CHKERRQ(ierr); 1306 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)is_A_all),dual,idxs+n_I,PETSC_COPY_VALUES,&is_B_all);CHKERRQ(ierr); 1307 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,is_B_all,&msolv_ctx->is_B);CHKERRQ(ierr); 1308 ierr = ISDestroy(&is_B_all);CHKERRQ(ierr); 1309 ierr = ISCreateStride(PetscObjectComm((PetscObject)is_A_all),dual,0,1,&is_B_all);CHKERRQ(ierr); 1310 ierr = VecScatterCreate(vec1_B,msolv_ctx->is_B,msolv_ctx->sol_B,is_B_all,&msolv_ctx->correction_scatter_B);CHKERRQ(ierr); 1311 ierr = ISDestroy(&is_B_all);CHKERRQ(ierr); 1312 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)is_A_all),n-n_v,idxs,PETSC_COPY_VALUES,&msolv_ctx->is_R);CHKERRQ(ierr); 1313 ierr = ISRestoreIndices(is_A_all,&idxs);CHKERRQ(ierr); 1314 } 1315 ierr = ISGetLocalSize(msolv_ctx->is_R,&n_R);CHKERRQ(ierr); 1316 ierr = MatCreateSeqAIJ(PETSC_COMM_SELF,n_R,n_R,0,NULL,&Afake);CHKERRQ(ierr); 1317 ierr = MatAssemblyBegin(Afake,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1318 ierr = MatAssemblyEnd(Afake,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1319 ierr = PCSetOperators(msolv_ctx->correction_solver,Afake,Afake);CHKERRQ(ierr); 1320 ierr = MatDestroy(&Afake);CHKERRQ(ierr); 1321 ierr = VecDestroy(&vec1_B);CHKERRQ(ierr); 1322 1323 /* communicate benign info to solver context */ 1324 if (benign_n) { 1325 PetscScalar *array; 1326 1327 msolv_ctx->benign_n = benign_n; 1328 msolv_ctx->benign_zerodiag_subs = is_p_r; 1329 ierr = PetscMalloc1(benign_n,&msolv_ctx->benign_save_vals);CHKERRQ(ierr); 1330 msolv_ctx->benign_csAIB = cs_AIB_mat; 1331 ierr = MatCreateVecs(cs_AIB_mat,&msolv_ctx->benign_corr_work,NULL);CHKERRQ(ierr); 1332 ierr = VecGetArray(msolv_ctx->benign_corr_work,&array);CHKERRQ(ierr); 1333 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,size_schur,array,&msolv_ctx->benign_dummy_schur_vec);CHKERRQ(ierr); 1334 ierr = VecRestoreArray(msolv_ctx->benign_corr_work,&array);CHKERRQ(ierr); 1335 msolv_ctx->benign_AIIm1ones = benign_AIIm1_ones_mat; 1336 } 1337 } else { 1338 if (sub_schurs->reuse_solver) { 1339 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 1340 } 1341 ierr = PetscFree(sub_schurs->reuse_solver);CHKERRQ(ierr); 1342 } 1343 ierr = MatDestroy(&A);CHKERRQ(ierr); 1344 ierr = ISDestroy(&is_A_all);CHKERRQ(ierr); 1345 1346 /* Work arrays */ 1347 ierr = PetscMalloc1(max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 1348 1349 /* S_Ej_all */ 1350 cum = cum2 = 0; 1351 ierr = MatDenseGetArrayRead(S_all,&rS_data);CHKERRQ(ierr); 1352 ierr = MatSeqAIJGetArray(sub_schurs->S_Ej_all,&SEj_arr);CHKERRQ(ierr); 1353 if (compute_Stilda) { 1354 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_inv_all,&SEjinv_arr);CHKERRQ(ierr); 1355 } 1356 for (i=0;i<sub_schurs->n_subs;i++) { 1357 PetscInt j; 1358 1359 /* get S_E */ 1360 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1361 if (S_lower_triangular) { /* I need to expand the upper triangular data (column oriented) */ 1362 PetscInt k; 1363 for (k=0;k<subset_size;k++) { 1364 for (j=k;j<subset_size;j++) { 1365 work[k*subset_size+j] = rS_data[cum2+k*size_schur+j]; 1366 work[j*subset_size+k] = PetscConj(rS_data[cum2+k*size_schur+j]); 1367 } 1368 } 1369 } else { /* just copy to workspace */ 1370 PetscInt k; 1371 for (k=0;k<subset_size;k++) { 1372 for (j=0;j<subset_size;j++) { 1373 work[k*subset_size+j] = rS_data[cum2+k*size_schur+j]; 1374 } 1375 } 1376 } 1377 /* insert S_E values */ 1378 if (sub_schurs->change) { 1379 Mat change_sub,SEj,T; 1380 1381 /* change basis */ 1382 ierr = KSPGetOperators(sub_schurs->change[i],&change_sub,NULL);CHKERRQ(ierr); 1383 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1384 if (!sub_schurs->change_with_qr) { /* currently there's no support for PtAP with P SeqAIJ */ 1385 Mat T2; 1386 ierr = MatTransposeMatMult(change_sub,SEj,MAT_INITIAL_MATRIX,1.0,&T2);CHKERRQ(ierr); 1387 ierr = MatMatMult(T2,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1388 ierr = MatConvert(T,MATSEQDENSE,MAT_INPLACE_MATRIX,&T);CHKERRQ(ierr); 1389 ierr = MatDestroy(&T2);CHKERRQ(ierr); 1390 } else { 1391 ierr = MatPtAP(SEj,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1392 } 1393 ierr = MatCopy(T,SEj,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1394 ierr = MatDestroy(&T);CHKERRQ(ierr); 1395 ierr = MatZeroRowsColumnsIS(SEj,sub_schurs->change_primal_sub[i],1.0,NULL,NULL);CHKERRQ(ierr); 1396 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1397 } 1398 if (deluxe) { 1399 ierr = PetscArraycpy(SEj_arr,work,subset_size*subset_size);CHKERRQ(ierr); 1400 /* if adaptivity is requested, invert S_E blocks */ 1401 if (compute_Stilda) { 1402 Mat M; 1403 const PetscScalar *vals; 1404 PetscBool isdense,isdensecuda; 1405 1406 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&M);CHKERRQ(ierr); 1407 ierr = MatSetOption(M,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr); 1408 ierr = MatSetOption(M,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr); 1409 if (!PetscBTLookup(sub_schurs->is_edge,i)) { 1410 ierr = MatSetType(M,Stype);CHKERRQ(ierr); 1411 } 1412 ierr = PetscObjectTypeCompare((PetscObject)M,MATSEQDENSE,&isdense);CHKERRQ(ierr); 1413 ierr = PetscObjectTypeCompare((PetscObject)M,MATSEQDENSECUDA,&isdensecuda);CHKERRQ(ierr); 1414 if (use_cholesky) { 1415 ierr = MatCholeskyFactor(M,NULL,NULL);CHKERRQ(ierr); 1416 } else { 1417 ierr = MatLUFactor(M,NULL,NULL,NULL);CHKERRQ(ierr); 1418 } 1419 if (isdense) { 1420 ierr = MatSeqDenseInvertFactors_Private(M);CHKERRQ(ierr); 1421 #if defined(PETSC_HAVE_CUDA) 1422 } else if (isdensecuda) { 1423 ierr = MatSeqDenseCUDAInvertFactors_Private(M);CHKERRQ(ierr); 1424 #endif 1425 } else SETERRQ1(PetscObjectComm((PetscObject)M),PETSC_ERR_SUP,"Not implemented for type %s",Stype); 1426 ierr = MatDenseGetArrayRead(M,&vals);CHKERRQ(ierr); 1427 ierr = PetscArraycpy(SEjinv_arr,vals,subset_size*subset_size);CHKERRQ(ierr); 1428 ierr = MatDenseRestoreArrayRead(M,&vals);CHKERRQ(ierr); 1429 ierr = MatDestroy(&M);CHKERRQ(ierr); 1430 } 1431 } else if (compute_Stilda) { /* not using deluxe */ 1432 Mat SEj; 1433 Vec D; 1434 PetscScalar *array; 1435 1436 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1437 ierr = VecGetArray(Dall,&array);CHKERRQ(ierr); 1438 ierr = VecCreateSeqWithArray(PETSC_COMM_SELF,1,subset_size,array+cum,&D);CHKERRQ(ierr); 1439 ierr = VecRestoreArray(Dall,&array);CHKERRQ(ierr); 1440 ierr = VecShift(D,-1.);CHKERRQ(ierr); 1441 ierr = MatDiagonalScale(SEj,D,D);CHKERRQ(ierr); 1442 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1443 ierr = VecDestroy(&D);CHKERRQ(ierr); 1444 ierr = PetscArraycpy(SEj_arr,work,subset_size*subset_size);CHKERRQ(ierr); 1445 } 1446 cum += subset_size; 1447 cum2 += subset_size*(size_schur + 1); 1448 SEj_arr += subset_size*subset_size; 1449 if (SEjinv_arr) SEjinv_arr += subset_size*subset_size; 1450 } 1451 ierr = MatDenseRestoreArrayRead(S_all,&rS_data);CHKERRQ(ierr); 1452 ierr = MatSeqAIJRestoreArray(sub_schurs->S_Ej_all,&SEj_arr);CHKERRQ(ierr); 1453 if (compute_Stilda) { 1454 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_inv_all,&SEjinv_arr);CHKERRQ(ierr); 1455 } 1456 if (solver_S) { 1457 ierr = MatFactorRestoreSchurComplement(F,&S_all,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr); 1458 } 1459 1460 /* may prevent from unneeded copies, since MUMPS or MKL_Pardiso always use CPU memory 1461 however, preliminary tests indicate using GPUs is still faster in the solve phase */ 1462 #if defined(PETSC_HAVE_VIENNACL) || defined(PETSC_HAVE_CUDA) 1463 if (reuse_solvers) { 1464 Mat St; 1465 MatFactorSchurStatus st; 1466 PetscBool flg = PETSC_FALSE; 1467 1468 ierr = PetscOptionsGetBool(NULL,sub_schurs->prefix,"-sub_schurs_schur_pin_to_cpu",&flg,NULL);CHKERRQ(ierr); 1469 ierr = MatFactorGetSchurComplement(F,&St,&st);CHKERRQ(ierr); 1470 ierr = MatBindToCPU(St,flg);CHKERRQ(ierr); 1471 ierr = MatFactorRestoreSchurComplement(F,&St,st);CHKERRQ(ierr); 1472 } 1473 #endif 1474 1475 schur_factor = NULL; 1476 if (compute_Stilda && size_active_schur) { 1477 1478 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all,&SEjinv_arr);CHKERRQ(ierr); 1479 if (sub_schurs->n_subs == 1 && size_schur == size_active_schur && deluxe) { /* we already computed the inverse */ 1480 ierr = PetscArraycpy(SEjinv_arr,work,size_schur*size_schur);CHKERRQ(ierr); 1481 } else { 1482 Mat S_all_inv=NULL; 1483 1484 if (solver_S) { 1485 /* for adaptive selection we need S^-1; for solver reusage we need S_\Delta\Delta^-1. 1486 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 */ 1487 if (factor_workaround) {/* invert without calling MatFactorInvertSchurComplement, since we are hacking */ 1488 PetscScalar *data; 1489 PetscInt nd = 0; 1490 1491 if (!use_potr) { 1492 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor update not yet implemented for non SPD matrices"); 1493 } 1494 ierr = MatFactorGetSchurComplement(F,&S_all_inv,NULL);CHKERRQ(ierr); 1495 ierr = MatDenseGetArray(S_all_inv,&data);CHKERRQ(ierr); 1496 if (sub_schurs->is_dir) { /* dirichlet dofs could have different scalings */ 1497 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1498 } 1499 1500 /* factor and invert activedofs and vertices (dirichlet dofs does not contribute) */ 1501 if (schur_has_vertices) { 1502 Mat M; 1503 PetscScalar *tdata; 1504 PetscInt nv = 0, news; 1505 1506 ierr = ISGetLocalSize(sub_schurs->is_vertices,&nv);CHKERRQ(ierr); 1507 news = size_active_schur + nv; 1508 ierr = PetscCalloc1(news*news,&tdata);CHKERRQ(ierr); 1509 for (i=0;i<size_active_schur;i++) { 1510 ierr = PetscArraycpy(tdata+i*(news+1),data+i*(size_schur+1),size_active_schur-i);CHKERRQ(ierr); 1511 ierr = PetscArraycpy(tdata+i*(news+1)+size_active_schur-i,data+i*size_schur+size_active_schur+nd,nv);CHKERRQ(ierr); 1512 } 1513 for (i=0;i<nv;i++) { 1514 PetscInt k = i+size_active_schur; 1515 ierr = PetscArraycpy(tdata+k*(news+1),data+(k+nd)*(size_schur+1),nv-i);CHKERRQ(ierr); 1516 } 1517 1518 ierr = MatCreateSeqDense(PETSC_COMM_SELF,news,news,tdata,&M);CHKERRQ(ierr); 1519 ierr = MatSetOption(M,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr); 1520 ierr = MatCholeskyFactor(M,NULL,NULL);CHKERRQ(ierr); 1521 /* save the factors */ 1522 cum = 0; 1523 ierr = PetscMalloc1((size_active_schur*(size_active_schur +1))/2+nd,&schur_factor);CHKERRQ(ierr); 1524 for (i=0;i<size_active_schur;i++) { 1525 ierr = PetscArraycpy(schur_factor+cum,tdata+i*(news+1),size_active_schur-i);CHKERRQ(ierr); 1526 cum += size_active_schur - i; 1527 } 1528 for (i=0;i<nd;i++) schur_factor[cum+i] = PetscSqrtReal(PetscRealPart(data[(i+size_active_schur)*(size_schur+1)])); 1529 ierr = MatSeqDenseInvertFactors_Private(M);CHKERRQ(ierr); 1530 /* move back just the active dofs to the Schur complement */ 1531 for (i=0;i<size_active_schur;i++) { 1532 ierr = PetscArraycpy(data+i*size_schur,tdata+i*news,size_active_schur);CHKERRQ(ierr); 1533 } 1534 ierr = PetscFree(tdata);CHKERRQ(ierr); 1535 ierr = MatDestroy(&M);CHKERRQ(ierr); 1536 } else { /* we can factorize and invert just the activedofs */ 1537 Mat M; 1538 PetscScalar *aux; 1539 1540 ierr = PetscMalloc1(nd,&aux);CHKERRQ(ierr); 1541 for (i=0;i<nd;i++) aux[i] = 1.0/data[(i+size_active_schur)*(size_schur+1)]; 1542 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_active_schur,size_active_schur,data,&M);CHKERRQ(ierr); 1543 ierr = MatSeqDenseSetLDA(M,size_schur);CHKERRQ(ierr); 1544 ierr = MatSetOption(M,MAT_SPD,PETSC_TRUE);CHKERRQ(ierr); 1545 ierr = MatCholeskyFactor(M,NULL,NULL);CHKERRQ(ierr); 1546 ierr = MatSeqDenseInvertFactors_Private(M);CHKERRQ(ierr); 1547 ierr = MatDestroy(&M);CHKERRQ(ierr); 1548 ierr = MatCreateSeqDense(PETSC_COMM_SELF,size_schur,nd,data+size_active_schur*size_schur,&M);CHKERRQ(ierr); 1549 ierr = MatZeroEntries(M);CHKERRQ(ierr); 1550 ierr = MatDestroy(&M);CHKERRQ(ierr); 1551 ierr = MatCreateSeqDense(PETSC_COMM_SELF,nd,size_schur,data+size_active_schur,&M);CHKERRQ(ierr); 1552 ierr = MatSeqDenseSetLDA(M,size_schur);CHKERRQ(ierr); 1553 ierr = MatZeroEntries(M);CHKERRQ(ierr); 1554 ierr = MatDestroy(&M);CHKERRQ(ierr); 1555 for (i=0;i<nd;i++) data[(i+size_active_schur)*(size_schur+1)] = aux[i]; 1556 ierr = PetscFree(aux);CHKERRQ(ierr); 1557 } 1558 ierr = MatDenseRestoreArray(S_all_inv,&data);CHKERRQ(ierr); 1559 } else { /* use MatFactor calls to invert S */ 1560 ierr = MatFactorInvertSchurComplement(F);CHKERRQ(ierr); 1561 ierr = MatFactorGetSchurComplement(F,&S_all_inv,NULL);CHKERRQ(ierr); 1562 } 1563 } else { /* we need to invert explicitly since we are not using MatFactor for S */ 1564 ierr = PetscObjectReference((PetscObject)S_all);CHKERRQ(ierr); 1565 S_all_inv = S_all; 1566 ierr = MatDenseGetArray(S_all_inv,&S_data);CHKERRQ(ierr); 1567 ierr = PetscBLASIntCast(size_schur,&B_N);CHKERRQ(ierr); 1568 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1569 if (use_potr) { 1570 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,S_data,&B_N,&B_ierr)); 1571 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1572 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,S_data,&B_N,&B_ierr)); 1573 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1574 } else if (use_sytr) { 1575 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,S_data,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1576 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr); 1577 PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_("L",&B_N,S_data,&B_N,pivots,Bwork,&B_ierr)); 1578 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr); 1579 } else { 1580 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,S_data,&B_N,pivots,&B_ierr)); 1581 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1582 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,S_data,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1583 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1584 } 1585 ierr = PetscLogFlops(1.0*size_schur*size_schur*size_schur);CHKERRQ(ierr); 1586 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1587 ierr = MatDenseRestoreArray(S_all_inv,&S_data);CHKERRQ(ierr); 1588 } 1589 /* S_Ej_tilda_all */ 1590 cum = cum2 = 0; 1591 ierr = MatDenseGetArrayRead(S_all_inv,&rS_data);CHKERRQ(ierr); 1592 for (i=0;i<sub_schurs->n_subs;i++) { 1593 PetscInt j; 1594 1595 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1596 /* get (St^-1)_E */ 1597 /* Unless we are changing the variables, I don't need to expand to upper triangular since St^-1 1598 will be properly accessed later during adaptive selection */ 1599 if (S_lower_triangular) { 1600 PetscInt k; 1601 if (sub_schurs->change) { 1602 for (k=0;k<subset_size;k++) { 1603 for (j=k;j<subset_size;j++) { 1604 work[k*subset_size+j] = rS_data[cum2+k*size_schur+j]; 1605 work[j*subset_size+k] = work[k*subset_size+j]; 1606 } 1607 } 1608 } else { 1609 for (k=0;k<subset_size;k++) { 1610 for (j=k;j<subset_size;j++) { 1611 work[k*subset_size+j] = rS_data[cum2+k*size_schur+j]; 1612 } 1613 } 1614 } 1615 } else { 1616 PetscInt k; 1617 for (k=0;k<subset_size;k++) { 1618 for (j=0;j<subset_size;j++) { 1619 work[k*subset_size+j] = rS_data[cum2+k*size_schur+j]; 1620 } 1621 } 1622 } 1623 if (sub_schurs->change) { 1624 Mat change_sub,SEj,T; 1625 1626 /* change basis */ 1627 ierr = KSPGetOperators(sub_schurs->change[i],&change_sub,NULL);CHKERRQ(ierr); 1628 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&SEj);CHKERRQ(ierr); 1629 if (!sub_schurs->change_with_qr) { /* currently there's no support for PtAP with P SeqAIJ */ 1630 Mat T2; 1631 ierr = MatTransposeMatMult(change_sub,SEj,MAT_INITIAL_MATRIX,1.0,&T2);CHKERRQ(ierr); 1632 ierr = MatMatMult(T2,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1633 ierr = MatDestroy(&T2);CHKERRQ(ierr); 1634 ierr = MatConvert(T,MATSEQDENSE,MAT_INPLACE_MATRIX,&T);CHKERRQ(ierr); 1635 } else { 1636 ierr = MatPtAP(SEj,change_sub,MAT_INITIAL_MATRIX,1.0,&T);CHKERRQ(ierr); 1637 } 1638 ierr = MatCopy(T,SEj,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 1639 ierr = MatDestroy(&T);CHKERRQ(ierr); 1640 /* set diagonal entry to a very large value to pick the basis we are eliminating as the first eigenvectors with adaptive selection */ 1641 ierr = MatZeroRowsColumnsIS(SEj,sub_schurs->change_primal_sub[i],1./PETSC_SMALL,NULL,NULL);CHKERRQ(ierr); 1642 ierr = MatDestroy(&SEj);CHKERRQ(ierr); 1643 } 1644 ierr = PetscArraycpy(SEjinv_arr,work,subset_size*subset_size);CHKERRQ(ierr); 1645 cum += subset_size; 1646 cum2 += subset_size*(size_schur + 1); 1647 SEjinv_arr += subset_size*subset_size; 1648 } 1649 ierr = MatDenseRestoreArrayRead(S_all_inv,&rS_data);CHKERRQ(ierr); 1650 if (solver_S) { 1651 if (schur_has_vertices) { 1652 ierr = MatFactorRestoreSchurComplement(F,&S_all_inv,MAT_FACTOR_SCHUR_FACTORED);CHKERRQ(ierr); 1653 } else { 1654 ierr = MatFactorRestoreSchurComplement(F,&S_all_inv,MAT_FACTOR_SCHUR_INVERTED);CHKERRQ(ierr); 1655 } 1656 } 1657 ierr = MatDestroy(&S_all_inv);CHKERRQ(ierr); 1658 } 1659 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_tilda_all,&SEjinv_arr);CHKERRQ(ierr); 1660 1661 /* move back factors if needed */ 1662 if (schur_has_vertices) { 1663 Mat S_tmp; 1664 PetscInt nd = 0; 1665 1666 if (!solver_S) SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 1667 ierr = MatFactorGetSchurComplement(F,&S_tmp,NULL);CHKERRQ(ierr); 1668 if (use_potr) { 1669 PetscScalar *data; 1670 1671 ierr = MatDenseGetArray(S_tmp,&data);CHKERRQ(ierr); 1672 ierr = PetscArrayzero(data,size_schur*size_schur);CHKERRQ(ierr); 1673 1674 if (S_lower_triangular) { 1675 cum = 0; 1676 for (i=0;i<size_active_schur;i++) { 1677 ierr = PetscArraycpy(data+i*(size_schur+1),schur_factor+cum,size_active_schur-i);CHKERRQ(ierr); 1678 cum += size_active_schur-i; 1679 } 1680 } else { 1681 ierr = PetscArraycpy(data,schur_factor,size_schur*size_schur);CHKERRQ(ierr); 1682 } 1683 if (sub_schurs->is_dir) { 1684 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1685 for (i=0;i<nd;i++) { 1686 data[(i+size_active_schur)*(size_schur+1)] = schur_factor[cum+i]; 1687 } 1688 } 1689 /* workaround: since I cannot modify the matrices used inside the solvers for the forward and backward substitutions, 1690 set the diagonal entry of the Schur factor to a very large value */ 1691 for (i=size_active_schur+nd;i<size_schur;i++) { 1692 data[i*(size_schur+1)] = infty; 1693 } 1694 ierr = MatDenseRestoreArray(S_tmp,&data);CHKERRQ(ierr); 1695 } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor update not yet implemented for non SPD matrices"); 1696 ierr = MatFactorRestoreSchurComplement(F,&S_tmp,MAT_FACTOR_SCHUR_FACTORED);CHKERRQ(ierr); 1697 } 1698 } else if (factor_workaround) { /* we need to eliminate any unneeded coupling */ 1699 PetscScalar *data; 1700 PetscInt nd = 0; 1701 1702 if (sub_schurs->is_dir) { /* dirichlet dofs could have different scalings */ 1703 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1704 } 1705 ierr = MatFactorGetSchurComplement(F,&S_all,NULL);CHKERRQ(ierr); 1706 ierr = MatDenseGetArray(S_all,&data);CHKERRQ(ierr); 1707 for (i=0;i<size_active_schur;i++) { 1708 ierr = PetscArrayzero(data+i*size_schur+size_active_schur,size_schur-size_active_schur);CHKERRQ(ierr); 1709 } 1710 for (i=size_active_schur+nd;i<size_schur;i++) { 1711 ierr = PetscArrayzero(data+i*size_schur+size_active_schur,size_schur-size_active_schur);CHKERRQ(ierr); 1712 data[i*(size_schur+1)] = infty; 1713 } 1714 ierr = MatDenseRestoreArray(S_all,&data);CHKERRQ(ierr); 1715 ierr = MatFactorRestoreSchurComplement(F,&S_all,MAT_FACTOR_SCHUR_UNFACTORED);CHKERRQ(ierr); 1716 } 1717 ierr = PetscFree(work);CHKERRQ(ierr); 1718 ierr = PetscFree(schur_factor);CHKERRQ(ierr); 1719 ierr = VecDestroy(&Dall);CHKERRQ(ierr); 1720 } 1721 ierr = ISDestroy(&is_I_layer);CHKERRQ(ierr); 1722 ierr = MatDestroy(&S_all);CHKERRQ(ierr); 1723 ierr = MatDestroy(&A_BB);CHKERRQ(ierr); 1724 ierr = MatDestroy(&A_IB);CHKERRQ(ierr); 1725 ierr = MatDestroy(&A_BI);CHKERRQ(ierr); 1726 ierr = MatDestroy(&F);CHKERRQ(ierr); 1727 1728 ierr = PetscMalloc1(sub_schurs->n_subs,&nnz);CHKERRQ(ierr); 1729 for (i=0;i<sub_schurs->n_subs;i++) { 1730 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&nnz[i]);CHKERRQ(ierr); 1731 } 1732 ierr = ISCreateGeneral(PETSC_COMM_SELF,sub_schurs->n_subs,nnz,PETSC_OWN_POINTER,&is_I_layer);CHKERRQ(ierr); 1733 ierr = MatSetVariableBlockSizes(sub_schurs->S_Ej_all,sub_schurs->n_subs,nnz);CHKERRQ(ierr); 1734 ierr = MatAssemblyBegin(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1735 ierr = MatAssemblyEnd(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1736 if (compute_Stilda) { 1737 ierr = MatSetVariableBlockSizes(sub_schurs->sum_S_Ej_tilda_all,sub_schurs->n_subs,nnz);CHKERRQ(ierr); 1738 ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1739 ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1740 if (deluxe) { 1741 ierr = MatSetVariableBlockSizes(sub_schurs->sum_S_Ej_inv_all,sub_schurs->n_subs,nnz);CHKERRQ(ierr); 1742 ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1743 ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1744 } 1745 } 1746 ierr = ISDestroy(&is_I_layer);CHKERRQ(ierr); 1747 1748 /* Get local part of (\sum_j S_Ej) */ 1749 if (!sub_schurs->sum_S_Ej_all) { 1750 ierr = MatDuplicate(sub_schurs->S_Ej_all,MAT_DO_NOT_COPY_VALUES,&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1751 } 1752 ierr = VecSet(gstash,0.0);CHKERRQ(ierr); 1753 ierr = MatSeqAIJGetArray(sub_schurs->S_Ej_all,&stasharray);CHKERRQ(ierr); 1754 ierr = VecPlaceArray(lstash,stasharray);CHKERRQ(ierr); 1755 ierr = VecScatterBegin(sstash,lstash,gstash,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1756 ierr = VecScatterEnd(sstash,lstash,gstash,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1757 ierr = MatSeqAIJRestoreArray(sub_schurs->S_Ej_all,&stasharray);CHKERRQ(ierr); 1758 ierr = VecResetArray(lstash);CHKERRQ(ierr); 1759 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all,&stasharray);CHKERRQ(ierr); 1760 ierr = VecPlaceArray(lstash,stasharray);CHKERRQ(ierr); 1761 ierr = VecScatterBegin(sstash,gstash,lstash,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1762 ierr = VecScatterEnd(sstash,gstash,lstash,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1763 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_all,&stasharray);CHKERRQ(ierr); 1764 ierr = VecResetArray(lstash);CHKERRQ(ierr); 1765 1766 /* Get local part of (\sum_j S^-1_Ej) (\sum_j St^-1_Ej) */ 1767 if (compute_Stilda) { 1768 ierr = VecSet(gstash,0.0);CHKERRQ(ierr); 1769 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all,&stasharray);CHKERRQ(ierr); 1770 ierr = VecPlaceArray(lstash,stasharray);CHKERRQ(ierr); 1771 ierr = VecScatterBegin(sstash,lstash,gstash,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1772 ierr = VecScatterEnd(sstash,lstash,gstash,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1773 ierr = VecScatterBegin(sstash,gstash,lstash,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1774 ierr = VecScatterEnd(sstash,gstash,lstash,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1775 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_tilda_all,&stasharray);CHKERRQ(ierr); 1776 ierr = VecResetArray(lstash);CHKERRQ(ierr); 1777 if (deluxe) { 1778 ierr = VecSet(gstash,0.0);CHKERRQ(ierr); 1779 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_inv_all,&stasharray);CHKERRQ(ierr); 1780 ierr = VecPlaceArray(lstash,stasharray);CHKERRQ(ierr); 1781 ierr = VecScatterBegin(sstash,lstash,gstash,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1782 ierr = VecScatterEnd(sstash,lstash,gstash,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1783 ierr = VecScatterBegin(sstash,gstash,lstash,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1784 ierr = VecScatterEnd(sstash,gstash,lstash,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1785 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_inv_all,&stasharray);CHKERRQ(ierr); 1786 ierr = VecResetArray(lstash);CHKERRQ(ierr); 1787 } else { 1788 PetscScalar *array; 1789 PetscInt cum; 1790 1791 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_tilda_all,&array);CHKERRQ(ierr); 1792 cum = 0; 1793 for (i=0;i<sub_schurs->n_subs;i++) { 1794 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1795 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 1796 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1797 if (use_potr) { 1798 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,array+cum,&B_N,&B_ierr)); 1799 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1800 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,array+cum,&B_N,&B_ierr)); 1801 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1802 } else if (use_sytr) { 1803 PetscStackCallBLAS("LAPACKsytrf",LAPACKsytrf_("L",&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1804 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRF Lapack routine %d",(int)B_ierr); 1805 PetscStackCallBLAS("LAPACKsytri",LAPACKsytri_("L",&B_N,array+cum,&B_N,pivots,Bwork,&B_ierr)); 1806 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYTRI Lapack routine %d",(int)B_ierr); 1807 } else { 1808 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array+cum,&B_N,pivots,&B_ierr)); 1809 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1810 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1811 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1812 } 1813 ierr = PetscLogFlops(1.0*subset_size*subset_size*subset_size);CHKERRQ(ierr); 1814 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1815 cum += subset_size*subset_size; 1816 } 1817 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_tilda_all,&array);CHKERRQ(ierr); 1818 ierr = PetscObjectReference((PetscObject)sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1819 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1820 sub_schurs->sum_S_Ej_inv_all = sub_schurs->sum_S_Ej_all; 1821 } 1822 } 1823 ierr = VecDestroy(&lstash);CHKERRQ(ierr); 1824 ierr = VecDestroy(&gstash);CHKERRQ(ierr); 1825 ierr = VecScatterDestroy(&sstash);CHKERRQ(ierr); 1826 1827 if (matl_dbg_viewer) { 1828 PetscInt cum; 1829 1830 if (sub_schurs->S_Ej_all) { 1831 ierr = PetscObjectSetName((PetscObject)sub_schurs->S_Ej_all,"SE");CHKERRQ(ierr); 1832 ierr = MatView(sub_schurs->S_Ej_all,matl_dbg_viewer);CHKERRQ(ierr); 1833 } 1834 if (sub_schurs->sum_S_Ej_all) { 1835 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_all,"SSE");CHKERRQ(ierr); 1836 ierr = MatView(sub_schurs->sum_S_Ej_all,matl_dbg_viewer);CHKERRQ(ierr); 1837 } 1838 if (sub_schurs->sum_S_Ej_inv_all) { 1839 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_inv_all,"SSEm");CHKERRQ(ierr); 1840 ierr = MatView(sub_schurs->sum_S_Ej_inv_all,matl_dbg_viewer);CHKERRQ(ierr); 1841 } 1842 if (sub_schurs->sum_S_Ej_tilda_all) { 1843 ierr = PetscObjectSetName((PetscObject)sub_schurs->sum_S_Ej_tilda_all,"SSEt");CHKERRQ(ierr); 1844 ierr = MatView(sub_schurs->sum_S_Ej_tilda_all,matl_dbg_viewer);CHKERRQ(ierr); 1845 } 1846 for (i=0,cum=0;i<sub_schurs->n_subs;i++) { 1847 IS is; 1848 char name[16]; 1849 1850 ierr = PetscSNPrintf(name,sizeof(name),"IE%D",i);CHKERRQ(ierr); 1851 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1852 ierr = ISCreateStride(PETSC_COMM_SELF,subset_size,cum,1,&is);CHKERRQ(ierr); 1853 ierr = PetscObjectSetName((PetscObject)is,name);CHKERRQ(ierr); 1854 ierr = ISView(is,matl_dbg_viewer);CHKERRQ(ierr); 1855 ierr = ISDestroy(&is);CHKERRQ(ierr); 1856 cum += subset_size; 1857 } 1858 } 1859 1860 /* free workspace */ 1861 ierr = PetscViewerDestroy(&matl_dbg_viewer);CHKERRQ(ierr); 1862 ierr = PetscFree2(Bwork,pivots);CHKERRQ(ierr); 1863 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 1864 PetscFunctionReturn(0); 1865 } 1866 1867 PetscErrorCode PCBDDCSubSchursInit(PCBDDCSubSchurs sub_schurs, const char* prefix, IS is_I, IS is_B, PCBDDCGraph graph, ISLocalToGlobalMapping BtoNmap, PetscBool copycc) 1868 { 1869 IS *faces,*edges,*all_cc,vertices; 1870 PetscInt i,n_faces,n_edges,n_all_cc; 1871 PetscBool is_sorted,ispardiso,ismumps; 1872 PetscErrorCode ierr; 1873 1874 PetscFunctionBegin; 1875 ierr = ISSorted(is_I,&is_sorted);CHKERRQ(ierr); 1876 if (!is_sorted) SETERRQ(PetscObjectComm((PetscObject)is_I),PETSC_ERR_PLIB,"IS for I dofs should be shorted"); 1877 ierr = ISSorted(is_B,&is_sorted);CHKERRQ(ierr); 1878 if (!is_sorted) SETERRQ(PetscObjectComm((PetscObject)is_B),PETSC_ERR_PLIB,"IS for B dofs should be shorted"); 1879 1880 /* reset any previous data */ 1881 ierr = PCBDDCSubSchursReset(sub_schurs);CHKERRQ(ierr); 1882 1883 /* get index sets for faces and edges (already sorted by global ordering) */ 1884 ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 1885 n_all_cc = n_faces+n_edges; 1886 ierr = PetscBTCreate(n_all_cc,&sub_schurs->is_edge);CHKERRQ(ierr); 1887 ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr); 1888 for (i=0;i<n_faces;i++) { 1889 if (copycc) { 1890 ierr = ISDuplicate(faces[i],&all_cc[i]);CHKERRQ(ierr); 1891 } else { 1892 ierr = PetscObjectReference((PetscObject)faces[i]);CHKERRQ(ierr); 1893 all_cc[i] = faces[i]; 1894 } 1895 } 1896 for (i=0;i<n_edges;i++) { 1897 if (copycc) { 1898 ierr = ISDuplicate(edges[i],&all_cc[n_faces+i]);CHKERRQ(ierr); 1899 } else { 1900 ierr = PetscObjectReference((PetscObject)edges[i]);CHKERRQ(ierr); 1901 all_cc[n_faces+i] = edges[i]; 1902 } 1903 ierr = PetscBTSet(sub_schurs->is_edge,n_faces+i);CHKERRQ(ierr); 1904 } 1905 ierr = PetscObjectReference((PetscObject)vertices);CHKERRQ(ierr); 1906 sub_schurs->is_vertices = vertices; 1907 ierr = PCBDDCGraphRestoreCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 1908 sub_schurs->is_dir = NULL; 1909 ierr = PCBDDCGraphGetDirichletDofsB(graph,&sub_schurs->is_dir);CHKERRQ(ierr); 1910 1911 /* Determine if MatFactor can be used */ 1912 ierr = PetscStrallocpy(prefix,&sub_schurs->prefix);CHKERRQ(ierr); 1913 #if defined(PETSC_HAVE_MUMPS) 1914 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERMUMPS,64);CHKERRQ(ierr); 1915 #elif defined(PETSC_HAVE_MKL_PARDISO) 1916 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERMKL_PARDISO,64);CHKERRQ(ierr); 1917 #else 1918 ierr = PetscStrncpy(sub_schurs->mat_solver_type,MATSOLVERPETSC,64);CHKERRQ(ierr); 1919 #endif 1920 #if defined(PETSC_USE_COMPLEX) 1921 sub_schurs->is_hermitian = PETSC_FALSE; /* Hermitian Cholesky is not supported by PETSc and external packages */ 1922 #else 1923 sub_schurs->is_hermitian = PETSC_TRUE; 1924 #endif 1925 sub_schurs->is_posdef = PETSC_TRUE; 1926 sub_schurs->is_symmetric = PETSC_TRUE; 1927 sub_schurs->debug = PETSC_FALSE; 1928 sub_schurs->restrict_comm = PETSC_FALSE; 1929 ierr = PetscOptionsBegin(PetscObjectComm((PetscObject)graph->l2gmap),sub_schurs->prefix,"BDDC sub_schurs options","PC");CHKERRQ(ierr); 1930 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); 1931 ierr = PetscOptionsBool("-sub_schurs_symmetric","Symmetric problem",NULL,sub_schurs->is_symmetric,&sub_schurs->is_symmetric,NULL);CHKERRQ(ierr); 1932 ierr = PetscOptionsBool("-sub_schurs_hermitian","Hermitian problem",NULL,sub_schurs->is_hermitian,&sub_schurs->is_hermitian,NULL);CHKERRQ(ierr); 1933 ierr = PetscOptionsBool("-sub_schurs_posdef","Positive definite problem",NULL,sub_schurs->is_posdef,&sub_schurs->is_posdef,NULL);CHKERRQ(ierr); 1934 ierr = PetscOptionsBool("-sub_schurs_restrictcomm","Restrict communicator on active processes only",NULL,sub_schurs->restrict_comm,&sub_schurs->restrict_comm,NULL);CHKERRQ(ierr); 1935 ierr = PetscOptionsBool("-sub_schurs_debug","Debug output",NULL,sub_schurs->debug,&sub_schurs->debug,NULL);CHKERRQ(ierr); 1936 ierr = PetscOptionsEnd();CHKERRQ(ierr); 1937 ierr = PetscStrcmp(sub_schurs->mat_solver_type,MATSOLVERMUMPS,&ismumps);CHKERRQ(ierr); 1938 ierr = PetscStrcmp(sub_schurs->mat_solver_type,MATSOLVERMKL_PARDISO,&ispardiso);CHKERRQ(ierr); 1939 sub_schurs->schur_explicit = (PetscBool)(ispardiso || ismumps); 1940 1941 /* for reals, symmetric and hermitian are synonims */ 1942 #if !defined(PETSC_USE_COMPLEX) 1943 sub_schurs->is_symmetric = (PetscBool)(sub_schurs->is_symmetric && sub_schurs->is_hermitian); 1944 sub_schurs->is_hermitian = sub_schurs->is_symmetric; 1945 #endif 1946 1947 ierr = PetscObjectReference((PetscObject)is_I);CHKERRQ(ierr); 1948 sub_schurs->is_I = is_I; 1949 ierr = PetscObjectReference((PetscObject)is_B);CHKERRQ(ierr); 1950 sub_schurs->is_B = is_B; 1951 ierr = PetscObjectReference((PetscObject)graph->l2gmap);CHKERRQ(ierr); 1952 sub_schurs->l2gmap = graph->l2gmap; 1953 ierr = PetscObjectReference((PetscObject)BtoNmap);CHKERRQ(ierr); 1954 sub_schurs->BtoNmap = BtoNmap; 1955 sub_schurs->n_subs = n_all_cc; 1956 sub_schurs->is_subs = all_cc; 1957 sub_schurs->S_Ej_all = NULL; 1958 sub_schurs->sum_S_Ej_all = NULL; 1959 sub_schurs->sum_S_Ej_inv_all = NULL; 1960 sub_schurs->sum_S_Ej_tilda_all = NULL; 1961 sub_schurs->is_Ej_all = NULL; 1962 PetscFunctionReturn(0); 1963 } 1964 1965 PetscErrorCode PCBDDCSubSchursCreate(PCBDDCSubSchurs *sub_schurs) 1966 { 1967 PCBDDCSubSchurs schurs_ctx; 1968 PetscErrorCode ierr; 1969 1970 PetscFunctionBegin; 1971 ierr = PetscNew(&schurs_ctx);CHKERRQ(ierr); 1972 schurs_ctx->n_subs = 0; 1973 *sub_schurs = schurs_ctx; 1974 PetscFunctionReturn(0); 1975 } 1976 1977 PetscErrorCode PCBDDCSubSchursReset(PCBDDCSubSchurs sub_schurs) 1978 { 1979 PetscInt i; 1980 PetscErrorCode ierr; 1981 1982 PetscFunctionBegin; 1983 if (!sub_schurs) PetscFunctionReturn(0); 1984 ierr = PetscFree(sub_schurs->prefix);CHKERRQ(ierr); 1985 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 1986 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 1987 ierr = ISDestroy(&sub_schurs->is_I);CHKERRQ(ierr); 1988 ierr = ISDestroy(&sub_schurs->is_B);CHKERRQ(ierr); 1989 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->l2gmap);CHKERRQ(ierr); 1990 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->BtoNmap);CHKERRQ(ierr); 1991 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 1992 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1993 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1994 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1995 ierr = ISDestroy(&sub_schurs->is_Ej_all);CHKERRQ(ierr); 1996 ierr = ISDestroy(&sub_schurs->is_vertices);CHKERRQ(ierr); 1997 ierr = ISDestroy(&sub_schurs->is_dir);CHKERRQ(ierr); 1998 ierr = PetscBTDestroy(&sub_schurs->is_edge);CHKERRQ(ierr); 1999 for (i=0;i<sub_schurs->n_subs;i++) { 2000 ierr = ISDestroy(&sub_schurs->is_subs[i]);CHKERRQ(ierr); 2001 } 2002 if (sub_schurs->n_subs) { 2003 ierr = PetscFree(sub_schurs->is_subs);CHKERRQ(ierr); 2004 } 2005 if (sub_schurs->reuse_solver) { 2006 ierr = PCBDDCReuseSolversReset(sub_schurs->reuse_solver);CHKERRQ(ierr); 2007 } 2008 ierr = PetscFree(sub_schurs->reuse_solver);CHKERRQ(ierr); 2009 if (sub_schurs->change) { 2010 for (i=0;i<sub_schurs->n_subs;i++) { 2011 ierr = KSPDestroy(&sub_schurs->change[i]);CHKERRQ(ierr); 2012 ierr = ISDestroy(&sub_schurs->change_primal_sub[i]);CHKERRQ(ierr); 2013 } 2014 } 2015 ierr = PetscFree(sub_schurs->change);CHKERRQ(ierr); 2016 ierr = PetscFree(sub_schurs->change_primal_sub);CHKERRQ(ierr); 2017 sub_schurs->n_subs = 0; 2018 PetscFunctionReturn(0); 2019 } 2020 2021 PetscErrorCode PCBDDCSubSchursDestroy(PCBDDCSubSchurs* sub_schurs) 2022 { 2023 PetscErrorCode ierr; 2024 2025 PetscFunctionBegin; 2026 ierr = PCBDDCSubSchursReset(*sub_schurs);CHKERRQ(ierr); 2027 ierr = PetscFree(*sub_schurs);CHKERRQ(ierr); 2028 PetscFunctionReturn(0); 2029 } 2030 2031 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt* queue_tip,PetscInt n_prev,PetscBT touched,PetscInt* xadj,PetscInt* adjncy,PetscInt* n_added) 2032 { 2033 PetscInt i,j,n; 2034 PetscErrorCode ierr; 2035 2036 PetscFunctionBegin; 2037 n = 0; 2038 for (i=-n_prev;i<0;i++) { 2039 PetscInt start_dof = queue_tip[i]; 2040 for (j=xadj[start_dof];j<xadj[start_dof+1];j++) { 2041 PetscInt dof = adjncy[j]; 2042 if (!PetscBTLookup(touched,dof)) { 2043 ierr = PetscBTSet(touched,dof);CHKERRQ(ierr); 2044 queue_tip[n] = dof; 2045 n++; 2046 } 2047 } 2048 } 2049 *n_added = n; 2050 PetscFunctionReturn(0); 2051 } 2052