1 #include <../src/ksp/pc/impls/bddc/bddc.h> 2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h> 3 #include <petscblaslapack.h> 4 5 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt*,PetscInt,PetscBT,PetscInt*,PetscInt*,PetscInt*); 6 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat,PetscBool,MatReuse,Mat*); 7 static PetscErrorCode PCBDDCMumpsInteriorSolve(PC,Vec,Vec); 8 static PetscErrorCode PCBDDCMumpsCorrectionSolve(PC,Vec,Vec); 9 10 11 #undef __FUNCT__ 12 #define __FUNCT__ "SparseRankOneUpdate" 13 PETSC_STATIC_INLINE PetscErrorCode SparseRankOneUpdate(PetscScalar *S,PetscInt n,PetscScalar a,PetscScalar *v1,PetscScalar *v2) 14 { 15 PetscInt i; 16 17 PetscFunctionBegin; 18 for (i=0;i<n;i++) { 19 if (PetscUnlikely(PetscAbsScalar(v2[i]) > PETSC_SMALL)) { 20 PetscScalar v2v = a*v2[i]; 21 PetscBLASInt B_N = n-i,B_one = 1; 22 PetscStackCallBLAS("BLASaxpy",BLASaxpy_(&B_N,&v2v,v1+i,&B_one,S+i*(n+1),&B_one)); 23 } 24 } 25 PetscFunctionReturn(0); 26 } 27 28 /* if v2 is not present, correction is done in-place */ 29 #undef __FUNCT__ 30 #define __FUNCT__ "PCBDDCReuseSolversChangeInterior" 31 static PetscErrorCode PCBDDCReuseSolversChangeInterior(PCBDDCReuseMumps ctx, Vec v, Vec v2, PetscBool sol) 32 { 33 PetscScalar *array; 34 PetscScalar *array2; 35 PetscErrorCode ierr; 36 37 PetscFunctionBegin; 38 if (!ctx->benign_n) PetscFunctionReturn(0); 39 if (v2) { 40 PetscInt nl; 41 42 ierr = VecGetArrayRead(v,(const PetscScalar**)&array);CHKERRQ(ierr); 43 ierr = VecGetLocalSize(v2,&nl);CHKERRQ(ierr); 44 ierr = VecGetArray(v2,&array2);CHKERRQ(ierr); 45 ierr = PetscMemcpy(array2,array,nl*sizeof(PetscScalar));CHKERRQ(ierr); 46 } else { 47 ierr = VecGetArray(v,&array);CHKERRQ(ierr); 48 array2 = array; 49 } 50 if (!sol) { /* change rhs */ 51 PetscInt n; 52 for (n=0;n<ctx->benign_n;n++) { 53 PetscScalar sum = 0.; 54 const PetscInt *cols; 55 PetscInt nz,i; 56 57 ierr = ISGetLocalSize(ctx->benign_zerodiag_subs[n],&nz);CHKERRQ(ierr); 58 ierr = ISGetIndices(ctx->benign_zerodiag_subs[n],&cols);CHKERRQ(ierr); 59 for (i=0;i<nz-1;i++) sum += array[cols[i]]; 60 sum = -sum/nz; 61 for (i=0;i<nz-1;i++) array2[cols[i]] += sum; 62 ctx->benign_save_vals[n] = array2[cols[nz-1]]; 63 array2[cols[nz-1]] = sum; 64 ierr = ISRestoreIndices(ctx->benign_zerodiag_subs[n],&cols);CHKERRQ(ierr); 65 } 66 } else { 67 PetscInt n; 68 for (n=0;n<ctx->benign_n;n++) { 69 PetscScalar sum = 0.; 70 const PetscInt *cols; 71 PetscInt nz,i; 72 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 sum = -sum/nz; 77 for (i=0;i<nz-1;i++) array2[cols[i]] += sum; 78 array2[cols[nz-1]] = ctx->benign_save_vals[n]; 79 ierr = ISRestoreIndices(ctx->benign_zerodiag_subs[n],&cols);CHKERRQ(ierr); 80 } 81 } 82 if (v2) { 83 ierr = VecRestoreArrayRead(v,(const PetscScalar**)&array);CHKERRQ(ierr); 84 ierr = VecRestoreArray(v2,&array);CHKERRQ(ierr); 85 } else { 86 ierr = VecRestoreArray(v,&array);CHKERRQ(ierr); 87 } 88 PetscFunctionReturn(0); 89 } 90 91 #undef __FUNCT__ 92 #define __FUNCT__ "PCBDDCMumpsReuseSolve_Private" 93 static PetscErrorCode PCBDDCMumpsReuseSolve_Private(PC pc, Vec rhs, Vec sol, PetscBool transpose, PetscBool full) 94 { 95 PCBDDCReuseMumps ctx; 96 PetscBool copy = PETSC_FALSE; 97 PetscErrorCode ierr; 98 99 PetscFunctionBegin; 100 ierr = PCShellGetContext(pc,(void **)&ctx);CHKERRQ(ierr); 101 if (full) { 102 #if defined(PETSC_HAVE_MUMPS) 103 ierr = MatMumpsSetIcntl(ctx->F,26,-1);CHKERRQ(ierr); 104 #endif 105 copy = ctx->has_vertices; 106 } else { /* interior solver */ 107 #if defined(PETSC_HAVE_MUMPS) 108 ierr = MatMumpsSetIcntl(ctx->F,26,0);CHKERRQ(ierr); 109 #endif 110 #if defined(PETSC_HAVE_MKL_PARDISO) 111 ierr = MatMkl_PardisoSetCntl(ctx->F,70,1);CHKERRQ(ierr); 112 #endif 113 copy = PETSC_TRUE; 114 } 115 /* copy rhs into factored matrix workspace */ 116 if (copy) { 117 PetscInt n; 118 PetscScalar *array,*array_mumps; 119 120 ierr = VecGetLocalSize(rhs,&n);CHKERRQ(ierr); 121 ierr = VecGetArrayRead(rhs,(const PetscScalar**)&array);CHKERRQ(ierr); 122 ierr = VecGetArray(ctx->rhs,&array_mumps);CHKERRQ(ierr); 123 ierr = PetscMemcpy(array_mumps,array,n*sizeof(PetscScalar));CHKERRQ(ierr); 124 ierr = VecRestoreArray(ctx->rhs,&array_mumps);CHKERRQ(ierr); 125 ierr = VecRestoreArrayRead(rhs,(const PetscScalar**)&array);CHKERRQ(ierr); 126 127 ierr = PCBDDCReuseSolversChangeInterior(ctx,ctx->rhs,NULL,PETSC_FALSE);CHKERRQ(ierr); 128 if (transpose) { 129 ierr = MatSolveTranspose(ctx->F,ctx->rhs,ctx->sol);CHKERRQ(ierr); 130 } else { 131 ierr = MatSolve(ctx->F,ctx->rhs,ctx->sol);CHKERRQ(ierr); 132 } 133 ierr = PCBDDCReuseSolversChangeInterior(ctx,ctx->sol,NULL,PETSC_TRUE);CHKERRQ(ierr); 134 135 /* get back data to caller worskpace */ 136 ierr = VecGetArrayRead(ctx->sol,(const PetscScalar**)&array_mumps);CHKERRQ(ierr); 137 ierr = VecGetArray(sol,&array);CHKERRQ(ierr); 138 ierr = PetscMemcpy(array,array_mumps,n*sizeof(PetscScalar));CHKERRQ(ierr); 139 ierr = VecRestoreArray(sol,&array);CHKERRQ(ierr); 140 ierr = VecRestoreArrayRead(ctx->sol,(const PetscScalar**)&array_mumps);CHKERRQ(ierr); 141 } else { 142 if (ctx->benign_n) { 143 ierr = PCBDDCReuseSolversChangeInterior(ctx,rhs,ctx->rhs,PETSC_FALSE);CHKERRQ(ierr); 144 if (transpose) { 145 ierr = MatSolveTranspose(ctx->F,ctx->rhs,sol);CHKERRQ(ierr); 146 } else { 147 ierr = MatSolve(ctx->F,ctx->rhs,sol);CHKERRQ(ierr); 148 } 149 ierr = PCBDDCReuseSolversChangeInterior(ctx,sol,NULL,PETSC_TRUE);CHKERRQ(ierr); 150 } else { 151 if (transpose) { 152 ierr = MatSolveTranspose(ctx->F,rhs,sol);CHKERRQ(ierr); 153 } else { 154 ierr = MatSolve(ctx->F,rhs,sol);CHKERRQ(ierr); 155 } 156 } 157 } 158 #if defined(PETSC_HAVE_MKL_PARDISO) 159 ierr = MatMkl_PardisoSetCntl(ctx->F,70,0);CHKERRQ(ierr); 160 #endif 161 PetscFunctionReturn(0); 162 } 163 164 #undef __FUNCT__ 165 #define __FUNCT__ "PCBDDCMumpsCorrectionSolve" 166 static PetscErrorCode PCBDDCMumpsCorrectionSolve(PC pc, Vec rhs, Vec sol) 167 { 168 PetscErrorCode ierr; 169 170 PetscFunctionBegin; 171 ierr = PCBDDCMumpsReuseSolve_Private(pc,rhs,sol,PETSC_FALSE,PETSC_TRUE);CHKERRQ(ierr); 172 PetscFunctionReturn(0); 173 } 174 175 #undef __FUNCT__ 176 #define __FUNCT__ "PCBDDCMumpsCorrectionSolveTranspose" 177 static PetscErrorCode PCBDDCMumpsCorrectionSolveTranspose(PC pc, Vec rhs, Vec sol) 178 { 179 PetscErrorCode ierr; 180 181 PetscFunctionBegin; 182 ierr = PCBDDCMumpsReuseSolve_Private(pc,rhs,sol,PETSC_TRUE,PETSC_TRUE);CHKERRQ(ierr); 183 PetscFunctionReturn(0); 184 } 185 186 #undef __FUNCT__ 187 #define __FUNCT__ "PCBDDCMumpsInteriorSolve" 188 static PetscErrorCode PCBDDCMumpsInteriorSolve(PC pc, Vec rhs, Vec sol) 189 { 190 PetscErrorCode ierr; 191 192 PetscFunctionBegin; 193 ierr = PCBDDCMumpsReuseSolve_Private(pc,rhs,sol,PETSC_FALSE,PETSC_FALSE);CHKERRQ(ierr); 194 PetscFunctionReturn(0); 195 } 196 197 #undef __FUNCT__ 198 #define __FUNCT__ "PCBDDCMumpsInteriorSolveTranspose" 199 static PetscErrorCode PCBDDCMumpsInteriorSolveTranspose(PC pc, Vec rhs, Vec sol) 200 { 201 PetscErrorCode ierr; 202 203 PetscFunctionBegin; 204 ierr = PCBDDCMumpsReuseSolve_Private(pc,rhs,sol,PETSC_TRUE,PETSC_FALSE);CHKERRQ(ierr); 205 PetscFunctionReturn(0); 206 } 207 208 #undef __FUNCT__ 209 #define __FUNCT__ "PCBDDCReuseMumpsReset" 210 static PetscErrorCode PCBDDCReuseMumpsReset(PCBDDCReuseMumps reuse) 211 { 212 PetscInt i; 213 PetscErrorCode ierr; 214 215 PetscFunctionBegin; 216 ierr = MatDestroy(&reuse->F);CHKERRQ(ierr); 217 ierr = VecDestroy(&reuse->sol);CHKERRQ(ierr); 218 ierr = VecDestroy(&reuse->rhs);CHKERRQ(ierr); 219 ierr = PCDestroy(&reuse->interior_solver);CHKERRQ(ierr); 220 ierr = PCDestroy(&reuse->correction_solver);CHKERRQ(ierr); 221 ierr = ISDestroy(&reuse->is_R);CHKERRQ(ierr); 222 ierr = ISDestroy(&reuse->is_B);CHKERRQ(ierr); 223 ierr = VecScatterDestroy(&reuse->correction_scatter_B);CHKERRQ(ierr); 224 ierr = VecDestroy(&reuse->sol_B);CHKERRQ(ierr); 225 ierr = VecDestroy(&reuse->rhs_B);CHKERRQ(ierr); 226 for (i=0;i<reuse->benign_n;i++) { 227 ierr = ISDestroy(&reuse->benign_zerodiag_subs[i]);CHKERRQ(ierr); 228 } 229 ierr = PetscFree(reuse->benign_zerodiag_subs);CHKERRQ(ierr); 230 ierr = PetscFree(reuse->benign_save_vals);CHKERRQ(ierr); 231 PetscFunctionReturn(0); 232 } 233 234 #undef __FUNCT__ 235 #define __FUNCT__ "PCBDDCComputeExplicitSchur" 236 static PetscErrorCode PCBDDCComputeExplicitSchur(Mat M, PetscBool issym, MatReuse reuse, Mat *S) 237 { 238 Mat B, C, D, Bd, Cd, AinvBd; 239 KSP ksp; 240 PC pc; 241 PetscBool isLU, isILU, isCHOL, Bdense, Cdense; 242 PetscReal fill = 2.0; 243 PetscInt n_I; 244 PetscMPIInt size; 245 PetscErrorCode ierr; 246 247 PetscFunctionBegin; 248 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)M),&size);CHKERRQ(ierr); 249 if (size != 1) { 250 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not for parallel matrices"); 251 } 252 if (reuse == MAT_REUSE_MATRIX) { 253 PetscBool Sdense; 254 255 ierr = PetscObjectTypeCompare((PetscObject)*S, MATSEQDENSE, &Sdense);CHKERRQ(ierr); 256 if (!Sdense) { 257 SETERRQ(PetscObjectComm((PetscObject)M),PETSC_ERR_SUP,"S should be dense"); 258 } 259 } 260 ierr = MatSchurComplementGetSubMatrices(M, NULL, NULL, &B, &C, &D);CHKERRQ(ierr); 261 ierr = MatSchurComplementGetKSP(M, &ksp);CHKERRQ(ierr); 262 ierr = KSPGetPC(ksp, &pc);CHKERRQ(ierr); 263 ierr = PetscObjectTypeCompare((PetscObject) pc, PCLU, &isLU);CHKERRQ(ierr); 264 ierr = PetscObjectTypeCompare((PetscObject) pc, PCILU, &isILU);CHKERRQ(ierr); 265 ierr = PetscObjectTypeCompare((PetscObject) pc, PCCHOLESKY, &isCHOL);CHKERRQ(ierr); 266 ierr = PetscObjectTypeCompare((PetscObject) B, MATSEQDENSE, &Bdense);CHKERRQ(ierr); 267 ierr = PetscObjectTypeCompare((PetscObject) C, MATSEQDENSE, &Cdense);CHKERRQ(ierr); 268 ierr = MatGetSize(B,&n_I,NULL);CHKERRQ(ierr); 269 if (n_I) { 270 if (!Bdense) { 271 ierr = MatConvert(B, MATSEQDENSE, MAT_INITIAL_MATRIX, &Bd);CHKERRQ(ierr); 272 } else { 273 Bd = B; 274 } 275 276 if (isLU || isILU || isCHOL) { 277 Mat fact; 278 ierr = KSPSetUp(ksp);CHKERRQ(ierr); 279 ierr = PCFactorGetMatrix(pc, &fact);CHKERRQ(ierr); 280 ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr); 281 ierr = MatMatSolve(fact, Bd, AinvBd);CHKERRQ(ierr); 282 } else { 283 PetscBool ex = PETSC_TRUE; 284 285 if (ex) { 286 Mat Ainvd; 287 288 ierr = PCComputeExplicitOperator(pc, &Ainvd);CHKERRQ(ierr); 289 ierr = MatMatMult(Ainvd, Bd, MAT_INITIAL_MATRIX, fill, &AinvBd);CHKERRQ(ierr); 290 ierr = MatDestroy(&Ainvd);CHKERRQ(ierr); 291 } else { 292 Vec sol,rhs; 293 PetscScalar *arrayrhs,*arraysol; 294 PetscInt i,nrhs,n; 295 296 ierr = MatDuplicate(Bd, MAT_DO_NOT_COPY_VALUES, &AinvBd);CHKERRQ(ierr); 297 ierr = MatGetSize(Bd,&n,&nrhs);CHKERRQ(ierr); 298 ierr = MatDenseGetArray(Bd,&arrayrhs);CHKERRQ(ierr); 299 ierr = MatDenseGetArray(AinvBd,&arraysol);CHKERRQ(ierr); 300 ierr = KSPGetSolution(ksp,&sol);CHKERRQ(ierr); 301 ierr = KSPGetRhs(ksp,&rhs);CHKERRQ(ierr); 302 for (i=0;i<nrhs;i++) { 303 ierr = VecPlaceArray(rhs,arrayrhs+i*n);CHKERRQ(ierr); 304 ierr = VecPlaceArray(sol,arraysol+i*n);CHKERRQ(ierr); 305 ierr = KSPSolve(ksp,rhs,sol);CHKERRQ(ierr); 306 ierr = VecResetArray(rhs);CHKERRQ(ierr); 307 ierr = VecResetArray(sol);CHKERRQ(ierr); 308 } 309 ierr = MatDenseRestoreArray(Bd,&arrayrhs);CHKERRQ(ierr); 310 ierr = MatDenseRestoreArray(AinvBd,&arrayrhs);CHKERRQ(ierr); 311 } 312 } 313 if (!Bdense & !issym) { 314 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 315 } 316 317 if (!issym) { 318 if (!Cdense) { 319 ierr = MatConvert(C, MATSEQDENSE, MAT_INITIAL_MATRIX, &Cd);CHKERRQ(ierr); 320 } else { 321 Cd = C; 322 } 323 ierr = MatMatMult(Cd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 324 if (!Cdense) { 325 ierr = MatDestroy(&Cd);CHKERRQ(ierr); 326 } 327 } else { 328 ierr = MatTransposeMatMult(Bd, AinvBd, reuse, fill, S);CHKERRQ(ierr); 329 if (!Bdense) { 330 ierr = MatDestroy(&Bd);CHKERRQ(ierr); 331 } 332 } 333 ierr = MatDestroy(&AinvBd);CHKERRQ(ierr); 334 } 335 336 if (D) { 337 Mat Dd; 338 PetscBool Ddense; 339 340 ierr = PetscObjectTypeCompare((PetscObject)D,MATSEQDENSE,&Ddense);CHKERRQ(ierr); 341 if (!Ddense) { 342 ierr = MatConvert(D, MATSEQDENSE, MAT_INITIAL_MATRIX, &Dd);CHKERRQ(ierr); 343 } else { 344 Dd = D; 345 } 346 if (n_I) { 347 ierr = MatAYPX(*S,-1.0,Dd,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 348 } else { 349 if (reuse == MAT_INITIAL_MATRIX) { 350 ierr = MatDuplicate(Dd,MAT_COPY_VALUES,S);CHKERRQ(ierr); 351 } else { 352 ierr = MatCopy(Dd,*S,SAME_NONZERO_PATTERN);CHKERRQ(ierr); 353 } 354 } 355 if (!Ddense) { 356 ierr = MatDestroy(&Dd);CHKERRQ(ierr); 357 } 358 } else { 359 ierr = MatScale(*S,-1.0);CHKERRQ(ierr); 360 } 361 PetscFunctionReturn(0); 362 } 363 364 #undef __FUNCT__ 365 #define __FUNCT__ "PCBDDCSubSchursSetUp" 366 PetscErrorCode PCBDDCSubSchursSetUp(PCBDDCSubSchurs sub_schurs, Mat Ain, Mat Sin, PetscBool exact_schur, PetscInt xadj[], PetscInt adjncy[], PetscInt nlayers, PetscBool faster_deluxe, PetscBool compute_Stilda, PetscBool reuse_solvers, PetscBool benign_trick, PetscInt benign_n, PetscInt benign_p0_lidx[], IS benign_zerodiag_subs[]) 367 { 368 Mat F,A_II,A_IB,A_BI,A_BB,AE_II; 369 Mat S_all; 370 Mat global_schur_subsets,work_mat,*submats; 371 ISLocalToGlobalMapping l2gmap_subsets; 372 IS is_I,is_I_layer; 373 IS all_subsets,all_subsets_mult,all_subsets_n; 374 PetscInt *nnz,*all_local_idx_N; 375 PetscInt *auxnum1,*auxnum2; 376 PetscInt i,subset_size,max_subset_size; 377 PetscInt n_B,extra,local_size,global_size; 378 PetscBLASInt B_N,B_ierr,B_lwork,*pivots; 379 PetscScalar *Bwork; 380 PetscSubcomm subcomm; 381 PetscMPIInt color,rank; 382 MPI_Comm comm_n; 383 PetscBool use_getr = PETSC_FALSE; 384 PetscErrorCode ierr; 385 386 PetscFunctionBegin; 387 /* update info in sub_schurs */ 388 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 389 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 390 sub_schurs->is_hermitian = PETSC_FALSE; 391 sub_schurs->is_posdef = PETSC_FALSE; 392 if (Ain) { 393 PetscBool isseqaij; 394 /* determine if we are dealing with hermitian positive definite problems */ 395 #if !defined(PETSC_USE_COMPLEX) 396 if (Ain->symmetric_set) { 397 sub_schurs->is_hermitian = Ain->symmetric; 398 } 399 #else 400 if (Ain->hermitian_set) { 401 sub_schurs->is_hermitian = Ain->hermitian; 402 } 403 #endif 404 if (Ain->spd_set) { 405 sub_schurs->is_posdef = Ain->spd; 406 } 407 408 /* check */ 409 ierr = PetscObjectTypeCompare((PetscObject)Ain,MATSEQAIJ,&isseqaij);CHKERRQ(ierr); 410 if (compute_Stilda && (!Ain->hermitian_set || !Ain->spd_set)) { /* these are lazy checks, maybe I should throw an error if they are not set */ 411 PetscInt lsize; 412 413 ierr = MatGetSize(Ain,&lsize,NULL);CHKERRQ(ierr); 414 if (lsize) { 415 PetscScalar val; 416 PetscReal norm; 417 Vec vec1,vec2,vec3; 418 419 ierr = MatCreateVecs(Ain,&vec1,&vec2);CHKERRQ(ierr); 420 ierr = VecDuplicate(vec1,&vec3);CHKERRQ(ierr); 421 ierr = VecSetRandom(vec1,NULL);CHKERRQ(ierr); 422 ierr = MatMult(Ain,vec1,vec2);CHKERRQ(ierr); 423 #if !defined(PETSC_USE_COMPLEX) 424 ierr = MatMultTranspose(Ain,vec1,vec3);CHKERRQ(ierr); 425 #else 426 ierr = MatMultHermitianTranspose(Ain,vec1,vec3);CHKERRQ(ierr); 427 #endif 428 ierr = VecAXPY(vec3,-1.0,vec2);CHKERRQ(ierr); 429 ierr = VecNorm(vec3,NORM_INFINITY,&norm);CHKERRQ(ierr); 430 if (!Ain->hermitian_set) { 431 if (norm > PetscSqrtReal(PETSC_SMALL)) { 432 sub_schurs->is_hermitian = PETSC_FALSE; 433 } else { 434 sub_schurs->is_hermitian = PETSC_TRUE; 435 } 436 } 437 if (!Ain->spd_set && !benign_trick) { 438 ierr = VecDot(vec1,vec2,&val);CHKERRQ(ierr); 439 if (PetscRealPart(val) > 0. && PetscAbsReal(PetscImaginaryPart(val)) < PETSC_SMALL) sub_schurs->is_posdef = PETSC_TRUE; 440 } 441 ierr = VecDestroy(&vec1);CHKERRQ(ierr); 442 ierr = VecDestroy(&vec2);CHKERRQ(ierr); 443 ierr = VecDestroy(&vec3);CHKERRQ(ierr); 444 } else { 445 sub_schurs->is_hermitian = PETSC_TRUE; 446 sub_schurs->is_posdef = PETSC_TRUE; 447 } 448 } 449 if (isseqaij) { 450 ierr = PetscObjectReference((PetscObject)Ain);CHKERRQ(ierr); 451 sub_schurs->A = Ain; 452 } else { 453 ierr = MatConvert(Ain,MATSEQAIJ,MAT_INITIAL_MATRIX,&sub_schurs->A);CHKERRQ(ierr); 454 } 455 } 456 457 ierr = PetscObjectReference((PetscObject)Sin);CHKERRQ(ierr); 458 sub_schurs->S = Sin; 459 if (sub_schurs->use_mumps) { 460 sub_schurs->use_mumps = (PetscBool)(!!sub_schurs->A); 461 } 462 463 /* preliminary checks */ 464 if (!sub_schurs->use_mumps && compute_Stilda) { 465 SETERRQ(PetscObjectComm((PetscObject)sub_schurs->l2gmap),PETSC_ERR_SUP,"Adaptive selection of constraints requires MUMPS"); 466 } 467 468 /* restrict work on active processes */ 469 color = 0; 470 if (!sub_schurs->n_subs) color = 1; /* this can happen if we are in a multilevel case or if the subdomain is disconnected */ 471 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&rank);CHKERRQ(ierr); 472 ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&subcomm);CHKERRQ(ierr); 473 ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr); 474 ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr); 475 ierr = PetscCommDuplicate(PetscSubcommChild(subcomm),&comm_n,NULL);CHKERRQ(ierr); 476 ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr); 477 if (!sub_schurs->n_subs) { 478 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 479 PetscFunctionReturn(0); 480 } 481 /* ierr = PetscCommDuplicate(PetscObjectComm((PetscObject)sub_schurs->l2gmap),&comm_n,NULL);CHKERRQ(ierr); */ 482 483 /* get Schur complement matrices */ 484 if (!sub_schurs->use_mumps) { 485 Mat tA_IB,tA_BI,tA_BB; 486 PetscBool isseqsbaij; 487 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,&tA_IB,&tA_BI,&tA_BB);CHKERRQ(ierr); 488 ierr = PetscObjectTypeCompare((PetscObject)tA_BB,MATSEQSBAIJ,&isseqsbaij);CHKERRQ(ierr); 489 if (isseqsbaij) { 490 ierr = MatConvert(tA_BB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BB);CHKERRQ(ierr); 491 ierr = MatConvert(tA_IB,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr); 492 ierr = MatConvert(tA_BI,MATSEQAIJ,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr); 493 } else { 494 ierr = PetscObjectReference((PetscObject)tA_BB);CHKERRQ(ierr); 495 A_BB = tA_BB; 496 ierr = PetscObjectReference((PetscObject)tA_IB);CHKERRQ(ierr); 497 A_IB = tA_IB; 498 ierr = PetscObjectReference((PetscObject)tA_BI);CHKERRQ(ierr); 499 A_BI = tA_BI; 500 } 501 } else { 502 A_II = NULL; 503 A_IB = NULL; 504 A_BI = NULL; 505 A_BB = NULL; 506 } 507 S_all = NULL; 508 509 /* determine interior problems */ 510 ierr = ISGetLocalSize(sub_schurs->is_I,&i);CHKERRQ(ierr); 511 if (nlayers >= 0 && i) { /* Interior problems can be different from the original one */ 512 PetscBT touched; 513 const PetscInt* idx_B; 514 PetscInt n_I,n_B,n_local_dofs,n_prev_added,j,layer,*local_numbering; 515 516 if (xadj == NULL || adjncy == NULL) { 517 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Cannot request layering without adjacency"); 518 } 519 /* get sizes */ 520 ierr = ISGetLocalSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 521 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 522 523 ierr = PetscMalloc1(n_I+n_B,&local_numbering);CHKERRQ(ierr); 524 ierr = PetscBTCreate(n_I+n_B,&touched);CHKERRQ(ierr); 525 ierr = PetscBTMemzero(n_I+n_B,touched);CHKERRQ(ierr); 526 527 /* all boundary dofs must be skipped when adding layers */ 528 ierr = ISGetIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 529 for (j=0;j<n_B;j++) { 530 ierr = PetscBTSet(touched,idx_B[j]);CHKERRQ(ierr); 531 } 532 ierr = PetscMemcpy(local_numbering,idx_B,n_B*sizeof(PetscInt));CHKERRQ(ierr); 533 ierr = ISRestoreIndices(sub_schurs->is_B,&idx_B);CHKERRQ(ierr); 534 535 /* add prescribed number of layers of dofs */ 536 n_local_dofs = n_B; 537 n_prev_added = n_B; 538 for (layer=0;layer<nlayers;layer++) { 539 PetscInt n_added; 540 if (n_local_dofs == n_I+n_B) break; 541 if (n_local_dofs > n_I+n_B) { 542 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); 543 } 544 ierr = PCBDDCAdjGetNextLayer_Private(local_numbering+n_local_dofs,n_prev_added,touched,xadj,adjncy,&n_added);CHKERRQ(ierr); 545 n_prev_added = n_added; 546 n_local_dofs += n_added; 547 if (!n_added) break; 548 } 549 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 550 551 /* IS for I layer dofs in original numbering */ 552 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); 553 ierr = PetscFree(local_numbering);CHKERRQ(ierr); 554 ierr = ISSort(is_I_layer);CHKERRQ(ierr); 555 /* IS for I layer dofs in I numbering */ 556 if (!sub_schurs->use_mumps) { 557 ISLocalToGlobalMapping ItoNmap; 558 ierr = ISLocalToGlobalMappingCreateIS(sub_schurs->is_I,&ItoNmap);CHKERRQ(ierr); 559 ierr = ISGlobalToLocalMappingApplyIS(ItoNmap,IS_GTOLM_DROP,is_I_layer,&is_I);CHKERRQ(ierr); 560 ierr = ISLocalToGlobalMappingDestroy(&ItoNmap);CHKERRQ(ierr); 561 562 /* II block */ 563 ierr = MatGetSubMatrix(A_II,is_I,is_I,MAT_INITIAL_MATRIX,&AE_II);CHKERRQ(ierr); 564 } 565 } else { 566 PetscInt n_I; 567 568 /* IS for I dofs in original numbering */ 569 ierr = PetscObjectReference((PetscObject)sub_schurs->is_I);CHKERRQ(ierr); 570 is_I_layer = sub_schurs->is_I; 571 572 /* IS for I dofs in I numbering (strided 1) */ 573 if (!sub_schurs->use_mumps) { 574 ierr = ISGetSize(sub_schurs->is_I,&n_I);CHKERRQ(ierr); 575 ierr = ISCreateStride(PetscObjectComm((PetscObject)sub_schurs->is_I),n_I,0,1,&is_I);CHKERRQ(ierr); 576 577 /* II block is the same */ 578 ierr = PetscObjectReference((PetscObject)A_II);CHKERRQ(ierr); 579 AE_II = A_II; 580 } 581 } 582 583 /* Get info on subset sizes and sum of all subsets sizes */ 584 max_subset_size = 0; 585 local_size = 0; 586 for (i=0;i<sub_schurs->n_subs;i++) { 587 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 588 max_subset_size = PetscMax(subset_size,max_subset_size); 589 local_size += subset_size; 590 } 591 592 /* Work arrays for local indices */ 593 extra = 0; 594 ierr = ISGetLocalSize(sub_schurs->is_B,&n_B);CHKERRQ(ierr); 595 if (sub_schurs->use_mumps && is_I_layer) { 596 ierr = ISGetLocalSize(is_I_layer,&extra);CHKERRQ(ierr); 597 } 598 ierr = PetscMalloc1(n_B+extra,&all_local_idx_N);CHKERRQ(ierr); 599 if (extra) { 600 const PetscInt *idxs; 601 ierr = ISGetIndices(is_I_layer,&idxs);CHKERRQ(ierr); 602 ierr = PetscMemcpy(all_local_idx_N,idxs,extra*sizeof(PetscInt));CHKERRQ(ierr); 603 ierr = ISRestoreIndices(is_I_layer,&idxs);CHKERRQ(ierr); 604 } 605 ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr); 606 ierr = PetscMalloc1(sub_schurs->n_subs,&auxnum1);CHKERRQ(ierr); 607 ierr = PetscMalloc1(sub_schurs->n_subs,&auxnum2);CHKERRQ(ierr); 608 609 /* Get local indices in local numbering */ 610 local_size = 0; 611 for (i=0;i<sub_schurs->n_subs;i++) { 612 PetscInt j; 613 const PetscInt *idxs; 614 615 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 616 ierr = ISGetIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 617 /* start (smallest in global ordering) and multiplicity */ 618 auxnum1[i] = idxs[0]; 619 auxnum2[i] = subset_size; 620 /* subset indices in local numbering */ 621 ierr = PetscMemcpy(all_local_idx_N+local_size+extra,idxs,subset_size*sizeof(PetscInt));CHKERRQ(ierr); 622 ierr = ISRestoreIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr); 623 for (j=0;j<subset_size;j++) nnz[local_size+j] = subset_size; 624 local_size += subset_size; 625 } 626 627 /* allocate extra workspace needed only for GETRI */ 628 Bwork = NULL; 629 pivots = NULL; 630 if (local_size && !benign_trick && (!sub_schurs->is_hermitian || !sub_schurs->is_posdef)) { 631 PetscScalar lwork; 632 633 use_getr = PETSC_TRUE; 634 B_lwork = -1; 635 ierr = PetscBLASIntCast(local_size,&B_N);CHKERRQ(ierr); 636 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 637 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,Bwork,&B_N,pivots,&lwork,&B_lwork,&B_ierr)); 638 ierr = PetscFPTrapPop();CHKERRQ(ierr); 639 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GETRI Lapack routine %d",(int)B_ierr); 640 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lwork),&B_lwork);CHKERRQ(ierr); 641 ierr = PetscMalloc2(B_lwork,&Bwork,B_N,&pivots);CHKERRQ(ierr); 642 } 643 644 /* prepare parallel matrices for summing up properly schurs on subsets */ 645 ierr = ISCreateGeneral(comm_n,sub_schurs->n_subs,auxnum1,PETSC_OWN_POINTER,&all_subsets_n);CHKERRQ(ierr); 646 ierr = ISLocalToGlobalMappingApplyIS(sub_schurs->l2gmap,all_subsets_n,&all_subsets);CHKERRQ(ierr); 647 ierr = ISDestroy(&all_subsets_n);CHKERRQ(ierr); 648 ierr = ISCreateGeneral(comm_n,sub_schurs->n_subs,auxnum2,PETSC_OWN_POINTER,&all_subsets_mult);CHKERRQ(ierr); 649 ierr = PCBDDCSubsetNumbering(all_subsets,all_subsets_mult,&global_size,&all_subsets_n);CHKERRQ(ierr); 650 ierr = ISDestroy(&all_subsets);CHKERRQ(ierr); 651 ierr = ISDestroy(&all_subsets_mult);CHKERRQ(ierr); 652 ierr = ISGetLocalSize(all_subsets_n,&i);CHKERRQ(ierr); 653 if (i != local_size) { 654 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Invalid size of new subset! %d != %d",i,local_size); 655 } 656 ierr = ISLocalToGlobalMappingCreateIS(all_subsets_n,&l2gmap_subsets);CHKERRQ(ierr); 657 ierr = MatCreateIS(comm_n,1,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size,l2gmap_subsets,NULL,&work_mat);CHKERRQ(ierr); 658 ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subsets);CHKERRQ(ierr); 659 ierr = MatCreate(PetscObjectComm((PetscObject)work_mat),&global_schur_subsets);CHKERRQ(ierr); 660 ierr = MatSetSizes(global_schur_subsets,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size);CHKERRQ(ierr); 661 ierr = MatSetType(global_schur_subsets,MATMPIAIJ);CHKERRQ(ierr); 662 663 /* subset indices in local boundary numbering */ 664 if (!sub_schurs->is_Ej_all) { 665 PetscInt *all_local_idx_B; 666 667 ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr); 668 ierr = ISGlobalToLocalMappingApply(sub_schurs->BtoNmap,IS_GTOLM_DROP,local_size,all_local_idx_N+extra,&subset_size,all_local_idx_B);CHKERRQ(ierr); 669 if (subset_size != local_size) { 670 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in sub_schurs serial (BtoNmap)! %d != %d\n",subset_size,local_size); 671 } 672 ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&sub_schurs->is_Ej_all);CHKERRQ(ierr); 673 } 674 675 /* Local matrix of all local Schur on subsets (transposed) */ 676 if (!sub_schurs->S_Ej_all) { 677 ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->S_Ej_all);CHKERRQ(ierr); 678 ierr = MatSetSizes(sub_schurs->S_Ej_all,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr); 679 ierr = MatSetType(sub_schurs->S_Ej_all,MATAIJ);CHKERRQ(ierr); 680 ierr = MatSeqAIJSetPreallocation(sub_schurs->S_Ej_all,0,nnz);CHKERRQ(ierr); 681 } 682 683 /* Compute Schur complements explicitly */ 684 F = NULL; 685 if (!sub_schurs->use_mumps) { /* this code branch is used when MUMPS is not present; it is not very efficient, unless the economic version of the scaling is required */ 686 Mat S_Ej_expl; 687 PetscScalar *work; 688 PetscInt j,*dummy_idx; 689 PetscBool Sdense; 690 691 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 692 local_size = 0; 693 for (i=0;i<sub_schurs->n_subs;i++) { 694 IS is_subset_B; 695 Mat AE_EE,AE_IE,AE_EI,S_Ej; 696 697 /* subsets in original and boundary numbering */ 698 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_subs[i],&is_subset_B);CHKERRQ(ierr); 699 /* EE block */ 700 ierr = MatGetSubMatrix(A_BB,is_subset_B,is_subset_B,MAT_INITIAL_MATRIX,&AE_EE);CHKERRQ(ierr); 701 /* IE block */ 702 ierr = MatGetSubMatrix(A_IB,is_I,is_subset_B,MAT_INITIAL_MATRIX,&AE_IE);CHKERRQ(ierr); 703 /* EI block */ 704 if (sub_schurs->is_hermitian) { 705 ierr = MatCreateTranspose(AE_IE,&AE_EI);CHKERRQ(ierr); 706 } else { 707 ierr = MatGetSubMatrix(A_BI,is_subset_B,is_I,MAT_INITIAL_MATRIX,&AE_EI);CHKERRQ(ierr); 708 } 709 ierr = ISDestroy(&is_subset_B);CHKERRQ(ierr); 710 ierr = MatCreateSchurComplement(AE_II,AE_II,AE_IE,AE_EI,AE_EE,&S_Ej);CHKERRQ(ierr); 711 ierr = MatDestroy(&AE_EE);CHKERRQ(ierr); 712 ierr = MatDestroy(&AE_IE);CHKERRQ(ierr); 713 ierr = MatDestroy(&AE_EI);CHKERRQ(ierr); 714 if (AE_II == A_II) { /* we can reuse the same ksp */ 715 KSP ksp; 716 ierr = MatSchurComplementGetKSP(sub_schurs->S,&ksp);CHKERRQ(ierr); 717 ierr = MatSchurComplementSetKSP(S_Ej,ksp);CHKERRQ(ierr); 718 } else { /* build new ksp object which inherits ksp and pc types from the original one */ 719 KSP origksp,schurksp; 720 PC origpc,schurpc; 721 KSPType ksp_type; 722 PetscInt n_internal; 723 PetscBool ispcnone; 724 725 ierr = MatSchurComplementGetKSP(sub_schurs->S,&origksp);CHKERRQ(ierr); 726 ierr = MatSchurComplementGetKSP(S_Ej,&schurksp);CHKERRQ(ierr); 727 ierr = KSPGetType(origksp,&ksp_type);CHKERRQ(ierr); 728 ierr = KSPSetType(schurksp,ksp_type);CHKERRQ(ierr); 729 ierr = KSPGetPC(schurksp,&schurpc);CHKERRQ(ierr); 730 ierr = KSPGetPC(origksp,&origpc);CHKERRQ(ierr); 731 ierr = PetscObjectTypeCompare((PetscObject)origpc,PCNONE,&ispcnone);CHKERRQ(ierr); 732 if (!ispcnone) { 733 PCType pc_type; 734 ierr = PCGetType(origpc,&pc_type);CHKERRQ(ierr); 735 ierr = PCSetType(schurpc,pc_type);CHKERRQ(ierr); 736 } else { 737 ierr = PCSetType(schurpc,PCLU);CHKERRQ(ierr); 738 } 739 ierr = ISGetSize(is_I,&n_internal);CHKERRQ(ierr); 740 if (n_internal) { /* UMFPACK gives error with 0 sized problems */ 741 MatSolverPackage solver=NULL; 742 ierr = PCFactorGetMatSolverPackage(origpc,(const MatSolverPackage*)&solver);CHKERRQ(ierr); 743 if (solver) { 744 ierr = PCFactorSetMatSolverPackage(schurpc,solver);CHKERRQ(ierr); 745 } 746 } 747 ierr = KSPSetUp(schurksp);CHKERRQ(ierr); 748 } 749 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 750 ierr = MatCreateSeqDense(PETSC_COMM_SELF,subset_size,subset_size,work,&S_Ej_expl);CHKERRQ(ierr); 751 ierr = PCBDDCComputeExplicitSchur(S_Ej,sub_schurs->is_hermitian,MAT_REUSE_MATRIX,&S_Ej_expl);CHKERRQ(ierr); 752 ierr = PetscObjectTypeCompare((PetscObject)S_Ej_expl,MATSEQDENSE,&Sdense);CHKERRQ(ierr); 753 if (Sdense) { 754 for (j=0;j<subset_size;j++) { 755 dummy_idx[j]=local_size+j; 756 } 757 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 758 } else { 759 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Not yet implemented for sparse matrices"); 760 } 761 ierr = MatDestroy(&S_Ej);CHKERRQ(ierr); 762 ierr = MatDestroy(&S_Ej_expl);CHKERRQ(ierr); 763 local_size += subset_size; 764 } 765 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 766 /* free */ 767 ierr = ISDestroy(&is_I);CHKERRQ(ierr); 768 ierr = MatDestroy(&AE_II);CHKERRQ(ierr); 769 ierr = PetscFree(all_local_idx_N);CHKERRQ(ierr); 770 } else { 771 Mat A; 772 Vec *benign_AIIm1_ones = NULL; 773 IS is_A_all,*is_p_r = NULL; 774 PetscScalar *work,*S_data,*schur_factor,*cs_AIB = NULL; 775 PetscInt n,n_I,*dummy_idx,size_schur,size_active_schur,cum,cum2; 776 PetscBool economic,mumps_S,S_lower_triangular = PETSC_FALSE,factor_workaround; 777 char solver[256]; 778 779 /* get sizes */ 780 n_I = 0; 781 if (is_I_layer) { 782 ierr = ISGetLocalSize(is_I_layer,&n_I);CHKERRQ(ierr); 783 } 784 economic = PETSC_FALSE; 785 ierr = ISGetLocalSize(sub_schurs->is_I,&cum);CHKERRQ(ierr); 786 if (cum != n_I) economic = PETSC_TRUE; 787 ierr = MatGetLocalSize(sub_schurs->A,&n,NULL);CHKERRQ(ierr); 788 789 /* size active schurs does not count any dirichlet or vertex dof on the interface */ 790 size_active_schur = local_size; 791 cum = n_I+size_active_schur; 792 if (sub_schurs->is_dir) { 793 const PetscInt* idxs; 794 PetscInt n_dir; 795 796 ierr = ISGetLocalSize(sub_schurs->is_dir,&n_dir);CHKERRQ(ierr); 797 ierr = ISGetIndices(sub_schurs->is_dir,&idxs);CHKERRQ(ierr); 798 ierr = PetscMemcpy(all_local_idx_N+cum,idxs,n_dir*sizeof(PetscInt));CHKERRQ(ierr); 799 ierr = ISRestoreIndices(sub_schurs->is_dir,&idxs);CHKERRQ(ierr); 800 cum += n_dir; 801 } 802 factor_workaround = PETSC_FALSE; 803 /* include the primal vertices in the Schur complement */ 804 if (exact_schur && sub_schurs->is_vertices && compute_Stilda) { 805 PetscInt n_v; 806 807 ierr = ISGetLocalSize(sub_schurs->is_vertices,&n_v);CHKERRQ(ierr); 808 if (n_v) { 809 const PetscInt* idxs; 810 811 ierr = ISGetIndices(sub_schurs->is_vertices,&idxs);CHKERRQ(ierr); 812 ierr = PetscMemcpy(all_local_idx_N+cum,idxs,n_v*sizeof(PetscInt));CHKERRQ(ierr); 813 ierr = ISRestoreIndices(sub_schurs->is_vertices,&idxs);CHKERRQ(ierr); 814 cum += n_v; 815 factor_workaround = PETSC_TRUE; 816 } 817 } 818 size_schur = cum - n_I; 819 ierr = ISCreateGeneral(PETSC_COMM_SELF,cum,all_local_idx_N,PETSC_OWN_POINTER,&is_A_all);CHKERRQ(ierr); 820 /* get working mat (TODO: factorize without actually permuting) */ 821 if (cum == n) { 822 ierr = ISSetPermutation(is_A_all);CHKERRQ(ierr); 823 ierr = MatPermute(sub_schurs->A,is_A_all,is_A_all,&A);CHKERRQ(ierr); 824 } else { 825 ierr = MatGetSubMatrix(sub_schurs->A,is_A_all,is_A_all,MAT_INITIAL_MATRIX,&A);CHKERRQ(ierr); 826 } 827 ierr = MatSetOptionsPrefix(A,"sub_schurs_");CHKERRQ(ierr); 828 829 /* if we actually change the basis for the pressures, LDL^T factors will use a lot of memory 830 more than n^2 instead of n^1.5 or something. This is a workaround */ 831 if (benign_n) { 832 Vec v; 833 ISLocalToGlobalMapping N_to_reor; 834 IS is_p0,is_p0_p; 835 836 ierr = ISLocalToGlobalMappingCreateIS(is_A_all,&N_to_reor);CHKERRQ(ierr); 837 ierr = ISCreateGeneral(PETSC_COMM_SELF,benign_n,benign_p0_lidx,PETSC_COPY_VALUES,&is_p0);CHKERRQ(ierr); 838 ierr = ISGlobalToLocalMappingApplyIS(N_to_reor,IS_GTOLM_DROP,is_p0,&is_p0_p);CHKERRQ(ierr); 839 ierr = ISDestroy(&is_p0);CHKERRQ(ierr); 840 ierr = MatCreateVecs(A,&v,NULL);CHKERRQ(ierr); 841 ierr = VecDuplicateVecs(v,benign_n,&benign_AIIm1_ones);CHKERRQ(ierr); 842 ierr = PetscMalloc1(size_schur*benign_n,&cs_AIB);CHKERRQ(ierr); 843 ierr = PetscMalloc1(benign_n,&is_p_r);CHKERRQ(ierr); 844 /* compute colsum of A_IB restricted to pressures */ 845 for (i=0;i<benign_n;i++) { 846 PetscScalar *array; 847 const PetscInt *idxs; 848 PetscInt j,nz; 849 850 ierr = ISGlobalToLocalMappingApplyIS(N_to_reor,IS_GTOLM_DROP,benign_zerodiag_subs[i],&is_p_r[i]);CHKERRQ(ierr); 851 ierr = VecGetArray(benign_AIIm1_ones[i],&array);CHKERRQ(ierr); 852 ierr = ISGetLocalSize(is_p_r[i],&nz);CHKERRQ(ierr); 853 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 854 for (j=0;j<nz;j++) array[idxs[j]] = 1.; 855 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 856 ierr = VecRestoreArray(benign_AIIm1_ones[i],&array);CHKERRQ(ierr); 857 ierr = MatMult(A,benign_AIIm1_ones[i],v);CHKERRQ(ierr); 858 ierr = VecGetArray(v,&array);CHKERRQ(ierr); 859 for (j=0;j<size_schur;j++) cs_AIB[i*size_schur + j] = array[j+n_I]; 860 ierr = VecRestoreArray(v,&array);CHKERRQ(ierr); 861 } 862 ierr = VecDestroy(&v);CHKERRQ(ierr); 863 ierr = MatSetOption(A,MAT_KEEP_NONZERO_PATTERN,PETSC_FALSE);CHKERRQ(ierr); 864 ierr = MatZeroRowsColumnsIS(A,is_p0_p,1.0,NULL,NULL);CHKERRQ(ierr); 865 ierr = ISDestroy(&is_p0_p);CHKERRQ(ierr); 866 ierr = ISLocalToGlobalMappingDestroy(&N_to_reor);CHKERRQ(ierr); 867 } 868 ierr = MatSetOption(A,MAT_SYMMETRIC,sub_schurs->is_hermitian);CHKERRQ(ierr); 869 ierr = MatSetOption(A,MAT_HERMITIAN,sub_schurs->is_hermitian);CHKERRQ(ierr); 870 ierr = MatSetOption(A,MAT_SPD,sub_schurs->is_posdef);CHKERRQ(ierr); 871 ierr = PetscStrcpy(solver,MATSOLVERMUMPS);CHKERRQ(ierr); 872 ierr = PetscOptionsGetString("sub_schurs_","-mat_solver_package",solver,256,NULL);CHKERRQ(ierr); 873 874 /* when using the benign subspace trick, the local Schur complements are SPD */ 875 if (benign_trick) sub_schurs->is_posdef = PETSC_TRUE; 876 877 if (n_I) { /* TODO add ordering from options */ 878 IS is_schur; 879 880 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 881 ierr = MatGetFactor(A,solver,MAT_FACTOR_CHOLESKY,&F);CHKERRQ(ierr); 882 } else { 883 ierr = MatGetFactor(A,solver,MAT_FACTOR_LU,&F);CHKERRQ(ierr); 884 } 885 /* subsets ordered last */ 886 ierr = ISCreateStride(PETSC_COMM_SELF,size_schur,n_I,1,&is_schur);CHKERRQ(ierr); 887 ierr = MatFactorSetSchurIS(F,is_schur);CHKERRQ(ierr); 888 ierr = ISDestroy(&is_schur);CHKERRQ(ierr); 889 890 /* factorization step */ 891 if (sub_schurs->is_hermitian && sub_schurs->is_posdef) { 892 ierr = MatCholeskyFactorSymbolic(F,A,NULL,NULL);CHKERRQ(ierr); 893 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */ 894 ierr = MatMumpsSetIcntl(F,19,2);CHKERRQ(ierr); 895 #endif 896 if (sub_schurs->is_posdef) { 897 ierr = MatFactorSetSchurComplementSolverType(F,1);CHKERRQ(ierr); 898 } else { 899 ierr = MatFactorSetSchurComplementSolverType(F,2);CHKERRQ(ierr); 900 } 901 ierr = MatCholeskyFactorNumeric(F,A,NULL);CHKERRQ(ierr); 902 S_lower_triangular = PETSC_TRUE; 903 } else { 904 ierr = MatLUFactorSymbolic(F,A,NULL,NULL,NULL);CHKERRQ(ierr); 905 #if defined(PETSC_HAVE_MUMPS) /* be sure that icntl 19 is not set by command line */ 906 ierr = MatMumpsSetIcntl(F,19,3);CHKERRQ(ierr); 907 #endif 908 ierr = MatLUFactorNumeric(F,A,NULL);CHKERRQ(ierr); 909 } 910 911 /* get explicit Schur Complement computed during numeric factorization */ 912 ierr = MatFactorGetSchurComplement(F,&S_all);CHKERRQ(ierr); 913 /* we can reuse the solvers if we are not using the economic version */ 914 reuse_solvers = (PetscBool)(reuse_solvers && !economic); 915 factor_workaround = (PetscBool)(reuse_solvers && factor_workaround); 916 mumps_S = PETSC_TRUE; 917 918 /* update the Schur complement with the change of basis */ 919 if (benign_n) { 920 PetscScalar *S_data; 921 Vec v; 922 923 ierr = MatDenseGetArray(S_all,&S_data);CHKERRQ(ierr); 924 ierr = VecDuplicate(benign_AIIm1_ones[0],&v);CHKERRQ(ierr); 925 #if defined(PETSC_HAVE_MUMPS) 926 ierr = MatMumpsSetIcntl(F,26,0);CHKERRQ(ierr); 927 #endif 928 #if defined(PETSC_HAVE_MKL_PARDISO) 929 ierr = MatMkl_PardisoSetCntl(F,70,1);CHKERRQ(ierr); 930 #endif 931 for (i=0;i<benign_n;i++) { 932 PetscScalar *array,sum = 0.; 933 const PetscInt *idxs; 934 PetscInt j,nz; 935 936 ierr = VecCopy(benign_AIIm1_ones[i],v);CHKERRQ(ierr); 937 ierr = MatSolve(F,v,benign_AIIm1_ones[i]);CHKERRQ(ierr); 938 ierr = VecGetArray(benign_AIIm1_ones[i],&array);CHKERRQ(ierr); 939 ierr = ISGetLocalSize(is_p_r[i],&nz);CHKERRQ(ierr); 940 ierr = ISGetIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 941 for (j=0;j<nz;j++) sum += array[idxs[j]]; 942 sum -= 1.; /* p0 dof (eliminated) is excluded from the sum */ 943 ierr = ISRestoreIndices(is_p_r[i],&idxs);CHKERRQ(ierr); 944 ierr = VecRestoreArray(benign_AIIm1_ones[i],&array);CHKERRQ(ierr); 945 ierr = MatMult(A,benign_AIIm1_ones[i],v);CHKERRQ(ierr); 946 ierr = VecGetArray(v,&array);CHKERRQ(ierr); 947 /* perform sparse rank-1 updates on symmetric Schur */ 948 sum = -sum/(1.*nz*nz); 949 ierr = SparseRankOneUpdate(S_data,size_schur,sum,cs_AIB+i*size_schur,cs_AIB+i*size_schur);CHKERRQ(ierr); 950 sum = 1./nz; 951 ierr = SparseRankOneUpdate(S_data,size_schur,sum,array+n_I,cs_AIB+i*size_schur);CHKERRQ(ierr); 952 ierr = SparseRankOneUpdate(S_data,size_schur,sum,cs_AIB+i*size_schur,array+n_I);CHKERRQ(ierr); 953 ierr = VecRestoreArray(v,&array);CHKERRQ(ierr); 954 } 955 ierr = VecDestroy(&v);CHKERRQ(ierr); 956 ierr = MatDenseRestoreArray(S_all,&S_data);CHKERRQ(ierr); 957 } 958 ierr = PetscFree(cs_AIB);CHKERRQ(ierr); 959 ierr = VecDestroyVecs(benign_n,&benign_AIIm1_ones);CHKERRQ(ierr); 960 } else { /* we can't use MUMPS when size_schur == size_of_the_problem */ 961 ierr = MatConvert(A,MATSEQDENSE,MAT_INITIAL_MATRIX,&S_all);CHKERRQ(ierr); 962 reuse_solvers = PETSC_FALSE; /* TODO: why we can't reuse the solvers here? */ 963 mumps_S = PETSC_FALSE; 964 } 965 966 if (reuse_solvers) { 967 Mat A_II; 968 Vec vec1_B; 969 PCBDDCReuseMumps msolv_ctx; 970 971 if (sub_schurs->reuse_mumps) { 972 ierr = PCBDDCReuseMumpsReset(sub_schurs->reuse_mumps);CHKERRQ(ierr); 973 } else { 974 ierr = PetscNew(&sub_schurs->reuse_mumps);CHKERRQ(ierr); 975 } 976 msolv_ctx = sub_schurs->reuse_mumps; 977 ierr = MatSchurComplementGetSubMatrices(sub_schurs->S,&A_II,NULL,NULL,NULL,NULL);CHKERRQ(ierr); 978 ierr = PetscObjectReference((PetscObject)F);CHKERRQ(ierr); 979 msolv_ctx->F = F; 980 ierr = MatCreateVecs(F,&msolv_ctx->sol,NULL);CHKERRQ(ierr); 981 /* currently PETSc has no support for MatSolve(F,x,x), so cheat and let rhs and sol share the same memory */ 982 { 983 PetscScalar *array; 984 PetscInt n; 985 986 ierr = VecGetLocalSize(msolv_ctx->sol,&n);CHKERRQ(ierr); 987 ierr = VecGetArray(msolv_ctx->sol,&array);CHKERRQ(ierr); 988 ierr = VecCreateSeqWithArray(PetscObjectComm((PetscObject)msolv_ctx->sol),1,n,array,&msolv_ctx->rhs);CHKERRQ(ierr); 989 ierr = VecRestoreArray(msolv_ctx->sol,&array);CHKERRQ(ierr); 990 } 991 msolv_ctx->has_vertices = factor_workaround; 992 993 /* interior solver */ 994 ierr = PCCreate(PetscObjectComm((PetscObject)A_II),&msolv_ctx->interior_solver);CHKERRQ(ierr); 995 ierr = PCSetOperators(msolv_ctx->interior_solver,A_II,A_II);CHKERRQ(ierr); 996 ierr = PCSetType(msolv_ctx->interior_solver,PCSHELL);CHKERRQ(ierr); 997 ierr = PCShellSetContext(msolv_ctx->interior_solver,msolv_ctx);CHKERRQ(ierr); 998 ierr = PCShellSetApply(msolv_ctx->interior_solver,PCBDDCMumpsInteriorSolve);CHKERRQ(ierr); 999 ierr = PCShellSetApplyTranspose(msolv_ctx->interior_solver,PCBDDCMumpsInteriorSolveTranspose);CHKERRQ(ierr); 1000 1001 /* correction solver */ 1002 ierr = PCCreate(PetscObjectComm((PetscObject)A),&msolv_ctx->correction_solver);CHKERRQ(ierr); 1003 ierr = PCSetOperators(msolv_ctx->correction_solver,A,A);CHKERRQ(ierr); 1004 ierr = PCSetType(msolv_ctx->correction_solver,PCSHELL);CHKERRQ(ierr); 1005 ierr = PCShellSetContext(msolv_ctx->correction_solver,msolv_ctx);CHKERRQ(ierr); 1006 ierr = PCShellSetApply(msolv_ctx->correction_solver,PCBDDCMumpsCorrectionSolve);CHKERRQ(ierr); 1007 ierr = PCShellSetApplyTranspose(msolv_ctx->correction_solver,PCBDDCMumpsCorrectionSolveTranspose);CHKERRQ(ierr); 1008 1009 /* scatter and vecs for Schur complement solver */ 1010 ierr = MatCreateVecs(S_all,&msolv_ctx->sol_B,&msolv_ctx->rhs_B);CHKERRQ(ierr); 1011 ierr = MatCreateVecs(sub_schurs->S,&vec1_B,NULL);CHKERRQ(ierr); 1012 if (!factor_workaround) { 1013 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,is_A_all,&msolv_ctx->is_B);CHKERRQ(ierr); 1014 ierr = VecScatterCreate(vec1_B,msolv_ctx->is_B,msolv_ctx->sol_B,NULL,&msolv_ctx->correction_scatter_B);CHKERRQ(ierr); 1015 ierr = PetscObjectReference((PetscObject)is_A_all);CHKERRQ(ierr); 1016 msolv_ctx->is_R = is_A_all; 1017 } else { 1018 IS is_B_all; 1019 const PetscInt* idxs; 1020 PetscInt dual,n_v,n; 1021 1022 ierr = ISGetLocalSize(sub_schurs->is_vertices,&n_v);CHKERRQ(ierr); 1023 dual = size_schur - n_v; 1024 ierr = ISGetLocalSize(is_A_all,&n);CHKERRQ(ierr); 1025 ierr = ISGetIndices(is_A_all,&idxs);CHKERRQ(ierr); 1026 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)is_A_all),dual,idxs+n_I,PETSC_COPY_VALUES,&is_B_all);CHKERRQ(ierr); 1027 ierr = ISGlobalToLocalMappingApplyIS(sub_schurs->BtoNmap,IS_GTOLM_DROP,is_B_all,&msolv_ctx->is_B);CHKERRQ(ierr); 1028 ierr = ISDestroy(&is_B_all);CHKERRQ(ierr); 1029 ierr = ISCreateStride(PetscObjectComm((PetscObject)is_A_all),dual,0,1,&is_B_all);CHKERRQ(ierr); 1030 ierr = VecScatterCreate(vec1_B,msolv_ctx->is_B,msolv_ctx->sol_B,is_B_all,&msolv_ctx->correction_scatter_B);CHKERRQ(ierr); 1031 ierr = ISDestroy(&is_B_all);CHKERRQ(ierr); 1032 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)is_A_all),n-n_v,idxs,PETSC_COPY_VALUES,&msolv_ctx->is_R);CHKERRQ(ierr); 1033 ierr = ISRestoreIndices(is_A_all,&idxs);CHKERRQ(ierr); 1034 } 1035 ierr = VecDestroy(&vec1_B);CHKERRQ(ierr); 1036 1037 /* communicate benign info to solver context */ 1038 if (benign_n) { 1039 msolv_ctx->benign_n = benign_n; 1040 msolv_ctx->benign_zerodiag_subs = is_p_r; 1041 ierr = PetscMalloc1(benign_n,&msolv_ctx->benign_save_vals);CHKERRQ(ierr); 1042 } 1043 } 1044 ierr = MatDestroy(&A);CHKERRQ(ierr); 1045 ierr = ISDestroy(&is_A_all);CHKERRQ(ierr); 1046 1047 /* Work arrays */ 1048 ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&work);CHKERRQ(ierr); 1049 1050 /* matrices for adaptive selection */ 1051 if (compute_Stilda) { 1052 if (!sub_schurs->sum_S_Ej_tilda_all) { 1053 ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1054 ierr = MatSetSizes(sub_schurs->sum_S_Ej_tilda_all,PETSC_DECIDE,PETSC_DECIDE,size_active_schur,size_active_schur);CHKERRQ(ierr); 1055 ierr = MatSetType(sub_schurs->sum_S_Ej_tilda_all,MATAIJ);CHKERRQ(ierr); 1056 ierr = MatSeqAIJSetPreallocation(sub_schurs->sum_S_Ej_tilda_all,0,nnz);CHKERRQ(ierr); 1057 } 1058 if (!sub_schurs->sum_S_Ej_inv_all) { 1059 ierr = MatCreate(PETSC_COMM_SELF,&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1060 ierr = MatSetSizes(sub_schurs->sum_S_Ej_inv_all,PETSC_DECIDE,PETSC_DECIDE,size_active_schur,size_active_schur);CHKERRQ(ierr); 1061 ierr = MatSetType(sub_schurs->sum_S_Ej_inv_all,MATAIJ);CHKERRQ(ierr); 1062 ierr = MatSeqAIJSetPreallocation(sub_schurs->sum_S_Ej_inv_all,0,nnz);CHKERRQ(ierr); 1063 } 1064 } 1065 1066 /* S_Ej_all */ 1067 cum = cum2 = 0; 1068 ierr = MatDenseGetArray(S_all,&S_data);CHKERRQ(ierr); 1069 for (i=0;i<sub_schurs->n_subs;i++) { 1070 PetscInt j; 1071 1072 /* get S_E */ 1073 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1074 if (S_lower_triangular) { /* I need to expand the upper triangular data (column oriented) */ 1075 PetscInt k; 1076 for (k=0;k<subset_size;k++) { 1077 for (j=k;j<subset_size;j++) { 1078 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1079 work[j*subset_size+k] = PetscConj(S_data[cum2+k*size_schur+j]); 1080 } 1081 } 1082 } else { /* just copy to workspace */ 1083 PetscInt k; 1084 for (k=0;k<subset_size;k++) { 1085 for (j=0;j<subset_size;j++) { 1086 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1087 } 1088 } 1089 } 1090 /* insert S_E values */ 1091 for (j=0;j<subset_size;j++) dummy_idx[j] = cum+j; 1092 ierr = MatSetValues(sub_schurs->S_Ej_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1093 1094 /* if adaptivity is requested, invert S_E blocks */ 1095 if (compute_Stilda) { 1096 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 1097 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1098 if (!use_getr) { /* TODO add sytrf/i for symmetric non hermitian */ 1099 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,work,&B_N,&B_ierr)); 1100 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1101 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,work,&B_N,&B_ierr)); 1102 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1103 } else { 1104 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,work,&B_N,pivots,&B_ierr)); 1105 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1106 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,work,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1107 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1108 } 1109 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1110 ierr = MatSetValues(sub_schurs->sum_S_Ej_inv_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1111 } 1112 cum += subset_size; 1113 cum2 += subset_size*(size_schur + 1); 1114 } 1115 ierr = MatDenseRestoreArray(S_all,&S_data);CHKERRQ(ierr); 1116 1117 if (mumps_S) { 1118 ierr = MatFactorRestoreSchurComplement(F,&S_all);CHKERRQ(ierr); 1119 } 1120 1121 schur_factor = NULL; 1122 if (compute_Stilda && size_active_schur) { 1123 1124 if (sub_schurs->n_subs == 1 && size_schur == size_active_schur) { /* we already computed the inverse */ 1125 PetscInt j; 1126 for (j=0;j<size_schur;j++) dummy_idx[j] = j; 1127 ierr = MatSetValues(sub_schurs->sum_S_Ej_tilda_all,size_schur,dummy_idx,size_schur,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1128 } else { 1129 Mat S_all_inv=NULL; 1130 if (mumps_S) { /* use MatFactor calls to invert S */ 1131 /* let MatFactor factorize the Schur complement */ 1132 ierr = MatFactorFactorizeSchurComplement(F);CHKERRQ(ierr); 1133 /* for adaptive selection we need S^-1; for solver reusage we need S_\Delta\Delta^-1. 1134 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 */ 1135 if (factor_workaround) { 1136 PetscScalar *data; 1137 PetscInt nd = 0; 1138 1139 if (!sub_schurs->is_posdef) { 1140 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor update not yet implemented for non SPD matrices"); 1141 } 1142 ierr = MatFactorGetSchurComplement(F,&S_all_inv);CHKERRQ(ierr); 1143 ierr = MatDenseGetArray(S_all_inv,&data);CHKERRQ(ierr); 1144 if (sub_schurs->is_dir) { /* dirichlet dofs could have different scalings */ 1145 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1146 } 1147 ierr = PetscMalloc1((size_active_schur*(size_active_schur+1))/2+nd,&schur_factor);CHKERRQ(ierr); 1148 cum = 0; 1149 for (i=0;i<size_active_schur;i++) { 1150 ierr = PetscMemcpy(schur_factor+cum,data+i*(size_schur+1),(size_active_schur-i)*sizeof(PetscScalar));CHKERRQ(ierr); 1151 cum += size_active_schur-i; 1152 } 1153 for (i=0;i<nd;i++) schur_factor[cum+i] = data[(i+size_active_schur)*(size_schur+1)]; 1154 /* invert without calling MatFactorInvertSchurComplement, since we are hacking */ 1155 ierr = PetscBLASIntCast(size_schur,&B_N);CHKERRQ(ierr); 1156 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1157 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,data,&B_N,&B_ierr)); 1158 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1159 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1160 ierr = MatDenseRestoreArray(S_all_inv,&data);CHKERRQ(ierr); 1161 } else { 1162 ierr = MatFactorInvertSchurComplement(F);CHKERRQ(ierr); 1163 ierr = MatFactorGetSchurComplement(F,&S_all_inv);CHKERRQ(ierr); 1164 } 1165 } else { /* we need to invert explicitly since we are not using MUMPS for S */ 1166 ierr = PetscObjectReference((PetscObject)S_all);CHKERRQ(ierr); 1167 S_all_inv = S_all; 1168 ierr = MatDenseGetArray(S_all_inv,&S_data);CHKERRQ(ierr); 1169 ierr = PetscBLASIntCast(size_schur,&B_N);CHKERRQ(ierr); 1170 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1171 if (!use_getr) { /* TODO add sytrf/i for symmetric non hermitian */ 1172 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,S_data,&B_N,&B_ierr)); 1173 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1174 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,S_data,&B_N,&B_ierr)); 1175 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1176 } else { 1177 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,S_data,&B_N,pivots,&B_ierr)); 1178 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1179 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,S_data,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1180 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1181 } 1182 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1183 ierr = MatDenseRestoreArray(S_all_inv,&S_data);CHKERRQ(ierr); 1184 } 1185 /* S_Ej_tilda_all */ 1186 cum = cum2 = 0; 1187 ierr = MatDenseGetArray(S_all_inv,&S_data);CHKERRQ(ierr); 1188 for (i=0;i<sub_schurs->n_subs;i++) { 1189 PetscInt j; 1190 1191 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1192 /* get (St^-1)_E */ 1193 /* Here I don't need to expand to upper triangular since St^-1 1194 will be properly accessed later during adaptive selection */ 1195 if (S_lower_triangular) { 1196 PetscInt k; 1197 for (k=0;k<subset_size;k++) { 1198 for (j=k;j<subset_size;j++) { 1199 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1200 } 1201 } 1202 } else { /* copy to workspace */ 1203 PetscInt k; 1204 for (k=0;k<subset_size;k++) { 1205 for (j=0;j<subset_size;j++) { 1206 work[k*subset_size+j] = S_data[cum2+k*size_schur+j]; 1207 } 1208 } 1209 } 1210 for (j=0;j<subset_size;j++) dummy_idx[j] = cum+j; 1211 ierr = MatSetValues(sub_schurs->sum_S_Ej_tilda_all,subset_size,dummy_idx,subset_size,dummy_idx,work,INSERT_VALUES);CHKERRQ(ierr); 1212 cum += subset_size; 1213 cum2 += subset_size*(size_schur + 1); 1214 } 1215 ierr = MatDenseRestoreArray(S_all_inv,&S_data);CHKERRQ(ierr); 1216 if (mumps_S) { 1217 ierr = MatFactorRestoreSchurComplement(F,&S_all_inv);CHKERRQ(ierr); 1218 } 1219 ierr = MatDestroy(&S_all_inv);CHKERRQ(ierr); 1220 } 1221 1222 /* move back factors to Schur data into F */ 1223 if (factor_workaround) { 1224 Mat S_tmp; 1225 PetscInt nv,nd=0; 1226 1227 if (!mumps_S) { 1228 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_PLIB,"This should not happen"); 1229 } 1230 ierr = ISGetLocalSize(sub_schurs->is_vertices,&nv);CHKERRQ(ierr); 1231 ierr = MatFactorGetSchurComplement(F,&S_tmp);CHKERRQ(ierr); 1232 if (sub_schurs->is_posdef) { 1233 PetscScalar *data; 1234 1235 ierr = MatZeroEntries(S_tmp);CHKERRQ(ierr); 1236 ierr = MatDenseGetArray(S_tmp,&data);CHKERRQ(ierr); 1237 1238 if (S_lower_triangular) { 1239 cum = 0; 1240 for (i=0;i<size_active_schur;i++) { 1241 ierr = PetscMemcpy(data+i*(size_schur+1),schur_factor+cum,(size_active_schur-i)*sizeof(PetscScalar));CHKERRQ(ierr); 1242 cum += size_active_schur-i; 1243 } 1244 } else { 1245 ierr = PetscMemcpy(data,schur_factor,size_schur*size_schur*sizeof(PetscScalar));CHKERRQ(ierr); 1246 } 1247 if (sub_schurs->is_dir) { 1248 ierr = ISGetLocalSize(sub_schurs->is_dir,&nd);CHKERRQ(ierr); 1249 for (i=0;i<nd;i++) { 1250 data[(i+size_active_schur)*(size_schur+1)] = schur_factor[cum+i]; 1251 } 1252 } 1253 /* workaround: since I cannot modify the matrices used inside the solvers for the forward and backward substitutions, 1254 set the diagonal entry of the Schur factor to a very large value */ 1255 for (i=size_active_schur+nd;i<size_schur;i++) { 1256 data[i*(size_schur+1)] = PETSC_MAX_REAL; 1257 } 1258 ierr = MatDenseRestoreArray(S_tmp,&data);CHKERRQ(ierr); 1259 } else { 1260 SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"Factor update not yet implemented for non SPD matrices"); 1261 } 1262 ierr = MatFactorRestoreSchurComplement(F,&S_tmp);CHKERRQ(ierr); 1263 } 1264 } 1265 ierr = PetscFree2(dummy_idx,work);CHKERRQ(ierr); 1266 ierr = PetscFree(schur_factor);CHKERRQ(ierr); 1267 } 1268 ierr = PetscFree(nnz);CHKERRQ(ierr); 1269 ierr = MatDestroy(&F);CHKERRQ(ierr); 1270 ierr = ISDestroy(&is_I_layer);CHKERRQ(ierr); 1271 ierr = MatDestroy(&S_all);CHKERRQ(ierr); 1272 ierr = MatDestroy(&A_BB);CHKERRQ(ierr); 1273 ierr = MatDestroy(&A_IB);CHKERRQ(ierr); 1274 ierr = MatDestroy(&A_BI);CHKERRQ(ierr); 1275 ierr = MatAssemblyBegin(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1276 ierr = MatAssemblyEnd(sub_schurs->S_Ej_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1277 if (compute_Stilda) { 1278 ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1279 ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_tilda_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1280 ierr = MatAssemblyBegin(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1281 ierr = MatAssemblyEnd(sub_schurs->sum_S_Ej_inv_all,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1282 } 1283 1284 /* Global matrix of all assembled Schur on subsets */ 1285 ierr = MatISSetLocalMat(work_mat,sub_schurs->S_Ej_all);CHKERRQ(ierr); 1286 ierr = MatISSetMPIXAIJPreallocation_Private(work_mat,global_schur_subsets,PETSC_TRUE);CHKERRQ(ierr); 1287 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1288 1289 /* Get local part of (\sum_j S_Ej) */ 1290 if (!sub_schurs->sum_S_Ej_all) { 1291 ierr = MatGetSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_INITIAL_MATRIX,&submats);CHKERRQ(ierr); 1292 sub_schurs->sum_S_Ej_all = submats[0]; 1293 } else { 1294 ierr = PetscMalloc1(1,&submats);CHKERRQ(ierr); 1295 submats[0] = sub_schurs->sum_S_Ej_all; 1296 ierr = MatGetSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr); 1297 } 1298 1299 /* Compute explicitly (\sum_j S_Ej)^-1 (faster scaling during PCApply, needs extra work when doing setup) */ 1300 if (faster_deluxe) { 1301 Mat tmpmat; 1302 PetscScalar *array; 1303 PetscInt cum; 1304 1305 ierr = MatSeqAIJGetArray(sub_schurs->sum_S_Ej_all,&array);CHKERRQ(ierr); 1306 cum = 0; 1307 for (i=0;i<sub_schurs->n_subs;i++) { 1308 ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr); 1309 ierr = PetscBLASIntCast(subset_size,&B_N);CHKERRQ(ierr); 1310 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1311 if (!use_getr) { 1312 PetscInt j,k; 1313 1314 PetscStackCallBLAS("LAPACKpotrf",LAPACKpotrf_("L",&B_N,array+cum,&B_N,&B_ierr)); 1315 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRF Lapack routine %d",(int)B_ierr); 1316 PetscStackCallBLAS("LAPACKpotri",LAPACKpotri_("L",&B_N,array+cum,&B_N,&B_ierr)); 1317 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in POTRI Lapack routine %d",(int)B_ierr); 1318 for (j=0;j<B_N;j++) { 1319 for (k=j+1;k<B_N;k++) { 1320 array[k*B_N+j+cum] = array[j*B_N+k+cum]; 1321 } 1322 } 1323 } else { 1324 PetscStackCallBLAS("LAPACKgetrf",LAPACKgetrf_(&B_N,&B_N,array+cum,&B_N,pivots,&B_ierr)); 1325 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRF Lapack routine %d",(int)B_ierr); 1326 PetscStackCallBLAS("LAPACKgetri",LAPACKgetri_(&B_N,array+cum,&B_N,pivots,Bwork,&B_lwork,&B_ierr)); 1327 if (B_ierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GETRI Lapack routine %d",(int)B_ierr); 1328 } 1329 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1330 cum += subset_size*subset_size; 1331 } 1332 ierr = MatSeqAIJRestoreArray(sub_schurs->sum_S_Ej_all,&array);CHKERRQ(ierr); 1333 ierr = MatMatMult(sub_schurs->S_Ej_all,sub_schurs->sum_S_Ej_all,MAT_INITIAL_MATRIX,1.0,&tmpmat);CHKERRQ(ierr); 1334 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 1335 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1336 sub_schurs->S_Ej_all = tmpmat; 1337 } 1338 1339 /* Get local part of (\sum_j S^-1_Ej) (\sum_j St^-1_Ej) */ 1340 if (compute_Stilda) { 1341 ierr = MatISSetLocalMat(work_mat,sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1342 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1343 submats[0] = sub_schurs->sum_S_Ej_tilda_all; 1344 ierr = MatGetSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr); 1345 ierr = MatISSetLocalMat(work_mat,sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1346 ierr = MatISGetMPIXAIJ(work_mat,MAT_REUSE_MATRIX,&global_schur_subsets);CHKERRQ(ierr); 1347 submats[0] = sub_schurs->sum_S_Ej_inv_all; 1348 ierr = MatGetSubMatrices(global_schur_subsets,1,&all_subsets_n,&all_subsets_n,MAT_REUSE_MATRIX,&submats);CHKERRQ(ierr); 1349 } 1350 1351 /* free workspace */ 1352 ierr = PetscFree(submats);CHKERRQ(ierr); 1353 ierr = PetscFree2(Bwork,pivots);CHKERRQ(ierr); 1354 ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr); 1355 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 1356 ierr = ISDestroy(&all_subsets_n);CHKERRQ(ierr); 1357 ierr = PetscCommDestroy(&comm_n);CHKERRQ(ierr); 1358 PetscFunctionReturn(0); 1359 } 1360 1361 #undef __FUNCT__ 1362 #define __FUNCT__ "PCBDDCSubSchursInit" 1363 PetscErrorCode PCBDDCSubSchursInit(PCBDDCSubSchurs sub_schurs, IS is_I, IS is_B, PCBDDCGraph graph, ISLocalToGlobalMapping BtoNmap) 1364 { 1365 IS *faces,*edges,*all_cc,vertices; 1366 PetscInt i,n_faces,n_edges,n_all_cc; 1367 PetscBool is_sorted; 1368 PetscErrorCode ierr; 1369 1370 PetscFunctionBegin; 1371 ierr = ISSorted(is_I,&is_sorted);CHKERRQ(ierr); 1372 if (!is_sorted) { 1373 SETERRQ(PetscObjectComm((PetscObject)is_I),PETSC_ERR_PLIB,"IS for I dofs should be shorted"); 1374 } 1375 ierr = ISSorted(is_B,&is_sorted);CHKERRQ(ierr); 1376 if (!is_sorted) { 1377 SETERRQ(PetscObjectComm((PetscObject)is_B),PETSC_ERR_PLIB,"IS for B dofs should be shorted"); 1378 } 1379 1380 /* reset any previous data */ 1381 ierr = PCBDDCSubSchursReset(sub_schurs);CHKERRQ(ierr); 1382 1383 /* get index sets for faces and edges (already sorted by global ordering) */ 1384 ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,&vertices);CHKERRQ(ierr); 1385 n_all_cc = n_faces+n_edges; 1386 ierr = PetscBTCreate(n_all_cc,&sub_schurs->is_edge);CHKERRQ(ierr); 1387 ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr); 1388 for (i=0;i<n_faces;i++) { 1389 all_cc[i] = faces[i]; 1390 } 1391 for (i=0;i<n_edges;i++) { 1392 all_cc[n_faces+i] = edges[i]; 1393 ierr = PetscBTSet(sub_schurs->is_edge,n_faces+i);CHKERRQ(ierr); 1394 } 1395 ierr = PetscFree(faces);CHKERRQ(ierr); 1396 ierr = PetscFree(edges);CHKERRQ(ierr); 1397 sub_schurs->is_dir = NULL; 1398 ierr = PCBDDCGraphGetDirichletDofsB(graph,&sub_schurs->is_dir);CHKERRQ(ierr); 1399 1400 /* Determine if MUMPS can be used */ 1401 sub_schurs->use_mumps = PETSC_FALSE; 1402 #if defined(PETSC_HAVE_MUMPS) 1403 sub_schurs->use_mumps = PETSC_TRUE; 1404 #endif 1405 1406 ierr = PetscObjectReference((PetscObject)is_I);CHKERRQ(ierr); 1407 sub_schurs->is_I = is_I; 1408 ierr = PetscObjectReference((PetscObject)is_B);CHKERRQ(ierr); 1409 sub_schurs->is_B = is_B; 1410 ierr = PetscObjectReference((PetscObject)graph->l2gmap);CHKERRQ(ierr); 1411 sub_schurs->l2gmap = graph->l2gmap; 1412 ierr = PetscObjectReference((PetscObject)BtoNmap);CHKERRQ(ierr); 1413 sub_schurs->BtoNmap = BtoNmap; 1414 sub_schurs->n_subs = n_all_cc; 1415 sub_schurs->is_subs = all_cc; 1416 if (!sub_schurs->use_mumps) { /* sort by local ordering mumps is not present */ 1417 for (i=0;i<sub_schurs->n_subs;i++) { 1418 ierr = ISSort(sub_schurs->is_subs[i]);CHKERRQ(ierr); 1419 } 1420 } 1421 sub_schurs->is_vertices = vertices; 1422 sub_schurs->S_Ej_all = NULL; 1423 sub_schurs->sum_S_Ej_all = NULL; 1424 sub_schurs->sum_S_Ej_inv_all = NULL; 1425 sub_schurs->sum_S_Ej_tilda_all = NULL; 1426 sub_schurs->is_Ej_all = NULL; 1427 PetscFunctionReturn(0); 1428 } 1429 1430 #undef __FUNCT__ 1431 #define __FUNCT__ "PCBDDCSubSchursCreate" 1432 PetscErrorCode PCBDDCSubSchursCreate(PCBDDCSubSchurs *sub_schurs) 1433 { 1434 PCBDDCSubSchurs schurs_ctx; 1435 PetscErrorCode ierr; 1436 1437 PetscFunctionBegin; 1438 ierr = PetscNew(&schurs_ctx);CHKERRQ(ierr); 1439 schurs_ctx->n_subs = 0; 1440 *sub_schurs = schurs_ctx; 1441 PetscFunctionReturn(0); 1442 } 1443 1444 #undef __FUNCT__ 1445 #define __FUNCT__ "PCBDDCSubSchursDestroy" 1446 PetscErrorCode PCBDDCSubSchursDestroy(PCBDDCSubSchurs *sub_schurs) 1447 { 1448 PetscErrorCode ierr; 1449 1450 PetscFunctionBegin; 1451 ierr = PCBDDCSubSchursReset(*sub_schurs);CHKERRQ(ierr); 1452 ierr = PetscFree(*sub_schurs);CHKERRQ(ierr); 1453 PetscFunctionReturn(0); 1454 } 1455 1456 #undef __FUNCT__ 1457 #define __FUNCT__ "PCBDDCSubSchursReset" 1458 PetscErrorCode PCBDDCSubSchursReset(PCBDDCSubSchurs sub_schurs) 1459 { 1460 PetscInt i; 1461 PetscErrorCode ierr; 1462 1463 PetscFunctionBegin; 1464 ierr = MatDestroy(&sub_schurs->A);CHKERRQ(ierr); 1465 ierr = MatDestroy(&sub_schurs->S);CHKERRQ(ierr); 1466 ierr = ISDestroy(&sub_schurs->is_I);CHKERRQ(ierr); 1467 ierr = ISDestroy(&sub_schurs->is_B);CHKERRQ(ierr); 1468 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->l2gmap);CHKERRQ(ierr); 1469 ierr = ISLocalToGlobalMappingDestroy(&sub_schurs->BtoNmap);CHKERRQ(ierr); 1470 ierr = MatDestroy(&sub_schurs->S_Ej_all);CHKERRQ(ierr); 1471 ierr = MatDestroy(&sub_schurs->sum_S_Ej_all);CHKERRQ(ierr); 1472 ierr = MatDestroy(&sub_schurs->sum_S_Ej_inv_all);CHKERRQ(ierr); 1473 ierr = MatDestroy(&sub_schurs->sum_S_Ej_tilda_all);CHKERRQ(ierr); 1474 ierr = ISDestroy(&sub_schurs->is_Ej_all);CHKERRQ(ierr); 1475 ierr = ISDestroy(&sub_schurs->is_vertices);CHKERRQ(ierr); 1476 ierr = ISDestroy(&sub_schurs->is_dir);CHKERRQ(ierr); 1477 ierr = PetscBTDestroy(&sub_schurs->is_edge);CHKERRQ(ierr); 1478 for (i=0;i<sub_schurs->n_subs;i++) { 1479 ierr = ISDestroy(&sub_schurs->is_subs[i]);CHKERRQ(ierr); 1480 } 1481 if (sub_schurs->n_subs) { 1482 ierr = PetscFree(sub_schurs->is_subs);CHKERRQ(ierr); 1483 } 1484 if (sub_schurs->reuse_mumps) { 1485 ierr = PCBDDCReuseMumpsReset(sub_schurs->reuse_mumps);CHKERRQ(ierr); 1486 } 1487 ierr = PetscFree(sub_schurs->reuse_mumps);CHKERRQ(ierr); 1488 sub_schurs->n_subs = 0; 1489 PetscFunctionReturn(0); 1490 } 1491 1492 #undef __FUNCT__ 1493 #define __FUNCT__ "PCBDDCAdjGetNextLayer_Private" 1494 PETSC_STATIC_INLINE PetscErrorCode PCBDDCAdjGetNextLayer_Private(PetscInt* queue_tip,PetscInt n_prev,PetscBT touched,PetscInt* xadj,PetscInt* adjncy,PetscInt* n_added) 1495 { 1496 PetscInt i,j,n; 1497 PetscErrorCode ierr; 1498 1499 PetscFunctionBegin; 1500 n = 0; 1501 for (i=-n_prev;i<0;i++) { 1502 PetscInt start_dof = queue_tip[i]; 1503 for (j=xadj[start_dof];j<xadj[start_dof+1];j++) { 1504 PetscInt dof = adjncy[j]; 1505 if (!PetscBTLookup(touched,dof)) { 1506 ierr = PetscBTSet(touched,dof);CHKERRQ(ierr); 1507 queue_tip[n] = dof; 1508 n++; 1509 } 1510 } 1511 } 1512 *n_added = n; 1513 PetscFunctionReturn(0); 1514 } 1515