1 #include <../src/ksp/pc/impls/bddc/bddc.h> 2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h> 3 #include <petscblaslapack.h> 4 5 static PetscErrorCode PCBDDCMatMultTranspose_Private(Mat A, Vec x, Vec y); 6 static PetscErrorCode PCBDDCMatMult_Private(Mat A, Vec x, Vec y); 7 8 #undef __FUNCT__ 9 #define __FUNCT__ "PCBDDCSetUpSolvers" 10 PetscErrorCode PCBDDCSetUpSolvers(PC pc) 11 { 12 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 13 PetscScalar *coarse_submat_vals; 14 PetscErrorCode ierr; 15 16 PetscFunctionBegin; 17 /* Compute matrix after change of basis and extract local submatrices */ 18 ierr = PCBDDCSetUpLocalMatrices(pc);CHKERRQ(ierr); 19 20 /* Setup local scatters R_to_B and (optionally) R_to_D */ 21 /* PCBDDCSetUpLocalWorkVectors and PCBDDCSetUpLocalMatrices should be called first! */ 22 ierr = PCBDDCSetUpLocalScatters(pc);CHKERRQ(ierr); 23 24 /* Setup local solvers ksp_D and ksp_R */ 25 /* PCBDDCSetUpLocalScatters should be called first! */ 26 ierr = PCBDDCSetUpLocalSolvers(pc);CHKERRQ(ierr); 27 28 /* Change global null space passed in by the user if change of basis has been requested */ 29 if (pcbddc->NullSpace && pcbddc->ChangeOfBasisMatrix) { 30 ierr = PCBDDCNullSpaceAdaptGlobal(pc);CHKERRQ(ierr); 31 } 32 33 /* 34 Setup local correction and local part of coarse basis. 35 Gives back the dense local part of the coarse matrix in column major ordering 36 */ 37 ierr = PCBDDCSetUpCorrection(pc,&coarse_submat_vals);CHKERRQ(ierr); 38 39 /* Compute total number of coarse nodes and setup coarse solver */ 40 ierr = PCBDDCSetUpCoarseSolver(pc,coarse_submat_vals);CHKERRQ(ierr); 41 42 /* free */ 43 ierr = PetscFree(coarse_submat_vals);CHKERRQ(ierr); 44 PetscFunctionReturn(0); 45 } 46 47 #undef __FUNCT__ 48 #define __FUNCT__ "PCBDDCResetCustomization" 49 PetscErrorCode PCBDDCResetCustomization(PC pc) 50 { 51 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 52 PetscErrorCode ierr; 53 54 PetscFunctionBegin; 55 ierr = PCBDDCGraphResetCSR(pcbddc->mat_graph);CHKERRQ(ierr); 56 ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr); 57 ierr = MatNullSpaceDestroy(&pcbddc->NullSpace);CHKERRQ(ierr); 58 ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr); 59 ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr); 60 ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr); 61 ierr = MatNullSpaceDestroy(&pcbddc->onearnullspace);CHKERRQ(ierr); 62 ierr = PetscFree(pcbddc->onearnullvecs_state);CHKERRQ(ierr); 63 ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr); 64 ierr = PCBDDCSetDofsSplitting(pc,0,NULL);CHKERRQ(ierr); 65 ierr = PCBDDCSetDofsSplittingLocal(pc,0,NULL);CHKERRQ(ierr); 66 PetscFunctionReturn(0); 67 } 68 69 #undef __FUNCT__ 70 #define __FUNCT__ "PCBDDCResetTopography" 71 PetscErrorCode PCBDDCResetTopography(PC pc) 72 { 73 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 74 PetscErrorCode ierr; 75 76 PetscFunctionBegin; 77 ierr = MatDestroy(&pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr); 78 ierr = MatDestroy(&pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr); 79 ierr = MatDestroy(&pcbddc->ConstraintMatrix);CHKERRQ(ierr); 80 ierr = PCBDDCGraphReset(pcbddc->mat_graph);CHKERRQ(ierr); 81 PetscFunctionReturn(0); 82 } 83 84 #undef __FUNCT__ 85 #define __FUNCT__ "PCBDDCResetSolvers" 86 PetscErrorCode PCBDDCResetSolvers(PC pc) 87 { 88 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 89 PetscErrorCode ierr; 90 91 PetscFunctionBegin; 92 ierr = VecDestroy(&pcbddc->coarse_vec);CHKERRQ(ierr); 93 ierr = VecDestroy(&pcbddc->coarse_rhs);CHKERRQ(ierr); 94 ierr = MatDestroy(&pcbddc->coarse_phi_B);CHKERRQ(ierr); 95 ierr = MatDestroy(&pcbddc->coarse_phi_D);CHKERRQ(ierr); 96 ierr = MatDestroy(&pcbddc->coarse_psi_B);CHKERRQ(ierr); 97 ierr = MatDestroy(&pcbddc->coarse_psi_D);CHKERRQ(ierr); 98 ierr = VecDestroy(&pcbddc->vec1_P);CHKERRQ(ierr); 99 ierr = VecDestroy(&pcbddc->vec1_C);CHKERRQ(ierr); 100 ierr = MatDestroy(&pcbddc->local_auxmat1);CHKERRQ(ierr); 101 ierr = MatDestroy(&pcbddc->local_auxmat2);CHKERRQ(ierr); 102 ierr = VecDestroy(&pcbddc->vec1_R);CHKERRQ(ierr); 103 ierr = VecDestroy(&pcbddc->vec2_R);CHKERRQ(ierr); 104 ierr = ISDestroy(&pcbddc->is_R_local);CHKERRQ(ierr); 105 ierr = VecScatterDestroy(&pcbddc->R_to_B);CHKERRQ(ierr); 106 ierr = VecScatterDestroy(&pcbddc->R_to_D);CHKERRQ(ierr); 107 ierr = VecScatterDestroy(&pcbddc->coarse_loc_to_glob);CHKERRQ(ierr); 108 ierr = KSPDestroy(&pcbddc->ksp_D);CHKERRQ(ierr); 109 ierr = KSPDestroy(&pcbddc->ksp_R);CHKERRQ(ierr); 110 ierr = KSPDestroy(&pcbddc->coarse_ksp);CHKERRQ(ierr); 111 ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr); 112 ierr = PetscFree(pcbddc->primal_indices_local_idxs);CHKERRQ(ierr); 113 ierr = PetscFree(pcbddc->global_primal_indices);CHKERRQ(ierr); 114 ierr = ISDestroy(&pcbddc->coarse_subassembling);CHKERRQ(ierr); 115 ierr = ISDestroy(&pcbddc->coarse_subassembling_init);CHKERRQ(ierr); 116 PetscFunctionReturn(0); 117 } 118 119 #undef __FUNCT__ 120 #define __FUNCT__ "PCBDDCSetUpLocalWorkVectors" 121 PetscErrorCode PCBDDCSetUpLocalWorkVectors(PC pc) 122 { 123 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 124 PC_IS *pcis = (PC_IS*)pc->data; 125 VecType impVecType; 126 PetscInt n_constraints,n_R,old_size; 127 PetscErrorCode ierr; 128 129 PetscFunctionBegin; 130 if (!pcbddc->ConstraintMatrix) { 131 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"BDDC Constraint matrix has not been created"); 132 } 133 /* get sizes */ 134 n_constraints = pcbddc->local_primal_size - pcbddc->n_actual_vertices; 135 n_R = pcis->n-pcbddc->n_actual_vertices; 136 ierr = VecGetType(pcis->vec1_N,&impVecType);CHKERRQ(ierr); 137 /* local work vectors (try to avoid unneeded work)*/ 138 /* R nodes */ 139 old_size = -1; 140 if (pcbddc->vec1_R) { 141 ierr = VecGetSize(pcbddc->vec1_R,&old_size);CHKERRQ(ierr); 142 } 143 if (n_R != old_size) { 144 ierr = VecDestroy(&pcbddc->vec1_R);CHKERRQ(ierr); 145 ierr = VecDestroy(&pcbddc->vec2_R);CHKERRQ(ierr); 146 ierr = VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N),&pcbddc->vec1_R);CHKERRQ(ierr); 147 ierr = VecSetSizes(pcbddc->vec1_R,PETSC_DECIDE,n_R);CHKERRQ(ierr); 148 ierr = VecSetType(pcbddc->vec1_R,impVecType);CHKERRQ(ierr); 149 ierr = VecDuplicate(pcbddc->vec1_R,&pcbddc->vec2_R);CHKERRQ(ierr); 150 } 151 /* local primal dofs */ 152 old_size = -1; 153 if (pcbddc->vec1_P) { 154 ierr = VecGetSize(pcbddc->vec1_P,&old_size);CHKERRQ(ierr); 155 } 156 if (pcbddc->local_primal_size != old_size) { 157 ierr = VecDestroy(&pcbddc->vec1_P);CHKERRQ(ierr); 158 ierr = VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N),&pcbddc->vec1_P);CHKERRQ(ierr); 159 ierr = VecSetSizes(pcbddc->vec1_P,PETSC_DECIDE,pcbddc->local_primal_size);CHKERRQ(ierr); 160 ierr = VecSetType(pcbddc->vec1_P,impVecType);CHKERRQ(ierr); 161 } 162 /* local explicit constraints */ 163 old_size = -1; 164 if (pcbddc->vec1_C) { 165 ierr = VecGetSize(pcbddc->vec1_C,&old_size);CHKERRQ(ierr); 166 } 167 if (n_constraints && n_constraints != old_size) { 168 ierr = VecDestroy(&pcbddc->vec1_C);CHKERRQ(ierr); 169 ierr = VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N),&pcbddc->vec1_C);CHKERRQ(ierr); 170 ierr = VecSetSizes(pcbddc->vec1_C,PETSC_DECIDE,n_constraints);CHKERRQ(ierr); 171 ierr = VecSetType(pcbddc->vec1_C,impVecType);CHKERRQ(ierr); 172 } 173 PetscFunctionReturn(0); 174 } 175 176 #undef __FUNCT__ 177 #define __FUNCT__ "PCBDDCSetUpCorrection" 178 PetscErrorCode PCBDDCSetUpCorrection(PC pc, PetscScalar **coarse_submat_vals_n) 179 { 180 PetscErrorCode ierr; 181 /* pointers to pcis and pcbddc */ 182 PC_IS* pcis = (PC_IS*)pc->data; 183 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 184 /* submatrices of local problem */ 185 Mat A_RV,A_VR,A_VV; 186 /* working matrices */ 187 Mat M1,M2,M3,C_CR; 188 /* working vectors */ 189 Vec vec1_C,vec2_C,vec1_V,vec2_V; 190 /* additional working stuff */ 191 IS is_aux; 192 PetscScalar *coarse_submat_vals; /* TODO: use a PETSc matrix */ 193 const PetscScalar *array,*row_cmat_values; 194 const PetscInt *row_cmat_indices,*idx_R_local; 195 PetscInt *idx_V_B,*auxindices; 196 PetscInt n_vertices,n_constraints,size_of_constraint; 197 PetscInt i,j,n_R,n_D,n_B; 198 PetscBool unsymmetric_check; 199 /* matrix type (vector type propagated downstream from vec1_C and local matrix type) */ 200 MatType impMatType; 201 /* some shortcuts to scalars */ 202 PetscScalar zero=0.0,one=1.0,m_one=-1.0; 203 /* for debugging purposes */ 204 PetscReal *coarsefunctions_errors,*constraints_errors; 205 206 PetscFunctionBegin; 207 /* get number of vertices (corners plus constraints with change of basis) 208 pcbddc->n_actual_vertices stores the actual number of vertices, pcbddc->n_vertices the number of corners computed */ 209 n_vertices = pcbddc->n_actual_vertices; 210 n_constraints = pcbddc->local_primal_size-n_vertices; 211 /* Set Non-overlapping dimensions */ 212 n_B = pcis->n_B; n_D = pcis->n - n_B; 213 n_R = pcis->n-n_vertices; 214 215 /* Set types for local objects needed by BDDC precondtioner */ 216 impMatType = MATSEQDENSE; 217 218 /* Allocating some extra storage just to be safe */ 219 ierr = PetscMalloc (pcis->n*sizeof(PetscInt),&auxindices);CHKERRQ(ierr); 220 for (i=0;i<pcis->n;i++) auxindices[i]=i; 221 222 /* vertices in boundary numbering */ 223 ierr = PetscMalloc1(n_vertices,&idx_V_B);CHKERRQ(ierr); 224 ierr = ISGlobalToLocalMappingApply(pcbddc->BtoNmap,IS_GTOLM_DROP,n_vertices,pcbddc->primal_indices_local_idxs,&i,idx_V_B);CHKERRQ(ierr); 225 if (i != n_vertices) { 226 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in boundary numbering for BDDC vertices! %d != %d\n",n_vertices,i); 227 } 228 229 /* Precompute stuffs needed for preprocessing and application of BDDC*/ 230 if (n_constraints) { 231 /* see if we can save some allocations */ 232 if (pcbddc->local_auxmat2) { 233 PetscInt on_R,on_constraints; 234 ierr = MatGetSize(pcbddc->local_auxmat2,&on_R,&on_constraints);CHKERRQ(ierr); 235 if (on_R != n_R || on_constraints != n_constraints) { 236 ierr = MatDestroy(&pcbddc->local_auxmat2);CHKERRQ(ierr); 237 ierr = MatDestroy(&pcbddc->local_auxmat1);CHKERRQ(ierr); 238 } 239 } 240 /* work vectors */ 241 ierr = VecDuplicate(pcbddc->vec1_C,&vec1_C);CHKERRQ(ierr); 242 ierr = VecDuplicate(pcbddc->vec1_C,&vec2_C);CHKERRQ(ierr); 243 /* auxiliary matrices */ 244 if (!pcbddc->local_auxmat2) { 245 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->local_auxmat2);CHKERRQ(ierr); 246 ierr = MatSetSizes(pcbddc->local_auxmat2,n_R,n_constraints,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr); 247 ierr = MatSetType(pcbddc->local_auxmat2,impMatType);CHKERRQ(ierr); 248 ierr = MatSetUp(pcbddc->local_auxmat2);CHKERRQ(ierr); 249 } 250 251 /* Extract constraints on R nodes: C_{CR} */ 252 ierr = ISCreateStride(PETSC_COMM_SELF,n_constraints,n_vertices,1,&is_aux);CHKERRQ(ierr); 253 ierr = MatGetSubMatrix(pcbddc->ConstraintMatrix,is_aux,pcbddc->is_R_local,MAT_INITIAL_MATRIX,&C_CR);CHKERRQ(ierr); 254 ierr = ISDestroy(&is_aux);CHKERRQ(ierr); 255 256 /* Assemble local_auxmat2 = - A_{RR}^{-1} C^T_{CR} needed by BDDC application */ 257 for (i=0;i<n_constraints;i++) { 258 ierr = VecSet(pcbddc->vec1_R,zero);CHKERRQ(ierr); 259 /* Get row of constraint matrix in R numbering */ 260 ierr = MatGetRow(C_CR,i,&size_of_constraint,&row_cmat_indices,&row_cmat_values);CHKERRQ(ierr); 261 ierr = VecSetValues(pcbddc->vec1_R,size_of_constraint,row_cmat_indices,row_cmat_values,INSERT_VALUES);CHKERRQ(ierr); 262 ierr = MatRestoreRow(C_CR,i,&size_of_constraint,&row_cmat_indices,&row_cmat_values);CHKERRQ(ierr); 263 ierr = VecAssemblyBegin(pcbddc->vec1_R);CHKERRQ(ierr); 264 ierr = VecAssemblyEnd(pcbddc->vec1_R);CHKERRQ(ierr); 265 /* Solve for row of constraint matrix in R numbering */ 266 ierr = KSPSolve(pcbddc->ksp_R,pcbddc->vec1_R,pcbddc->vec2_R);CHKERRQ(ierr); 267 /* Set values in local_auxmat2 */ 268 ierr = VecGetArrayRead(pcbddc->vec2_R,&array);CHKERRQ(ierr); 269 ierr = MatSetValues(pcbddc->local_auxmat2,n_R,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 270 ierr = VecRestoreArrayRead(pcbddc->vec2_R,&array);CHKERRQ(ierr); 271 } 272 ierr = MatAssemblyBegin(pcbddc->local_auxmat2,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 273 ierr = MatAssemblyEnd(pcbddc->local_auxmat2,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 274 ierr = MatScale(pcbddc->local_auxmat2,m_one);CHKERRQ(ierr); 275 276 /* Assemble explicitly M1 = ( C_{CR} A_{RR}^{-1} C^T_{CR} )^{-1} needed in preproc */ 277 ierr = MatMatMult(C_CR,pcbddc->local_auxmat2,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&M3);CHKERRQ(ierr); 278 ierr = MatLUFactor(M3,NULL,NULL,NULL);CHKERRQ(ierr); 279 ierr = MatCreate(PETSC_COMM_SELF,&M1);CHKERRQ(ierr); 280 ierr = MatSetSizes(M1,n_constraints,n_constraints,n_constraints,n_constraints);CHKERRQ(ierr); 281 ierr = MatSetType(M1,impMatType);CHKERRQ(ierr); 282 ierr = MatSetUp(M1);CHKERRQ(ierr); 283 ierr = MatDuplicate(M1,MAT_DO_NOT_COPY_VALUES,&M2);CHKERRQ(ierr); 284 ierr = MatZeroEntries(M2);CHKERRQ(ierr); 285 ierr = VecSet(vec1_C,m_one);CHKERRQ(ierr); 286 ierr = MatDiagonalSet(M2,vec1_C,INSERT_VALUES);CHKERRQ(ierr); 287 ierr = MatMatSolve(M3,M2,M1);CHKERRQ(ierr); 288 ierr = MatDestroy(&M2);CHKERRQ(ierr); 289 ierr = MatDestroy(&M3);CHKERRQ(ierr); 290 /* Assemble local_auxmat1 = M1*C_{CR} needed by BDDC application in KSP and in preproc */ 291 if (!pcbddc->local_auxmat1) { 292 ierr = MatMatMult(M1,C_CR,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&pcbddc->local_auxmat1);CHKERRQ(ierr); 293 } else { 294 ierr = MatMatMult(M1,C_CR,MAT_REUSE_MATRIX,PETSC_DEFAULT,&pcbddc->local_auxmat1);CHKERRQ(ierr); 295 } 296 } 297 298 /* Get submatrices from subdomain matrix */ 299 if (n_vertices) { 300 PetscInt ibs,mbs; 301 PetscBool issbaij; 302 Mat newmat; 303 304 ierr = ISComplement(pcbddc->is_R_local,0,pcis->n,&is_aux);CHKERRQ(ierr); 305 ierr = MatGetBlockSize(pcbddc->local_mat,&mbs);CHKERRQ(ierr); 306 ierr = ISGetBlockSize(pcbddc->is_R_local,&ibs);CHKERRQ(ierr); 307 if (ibs != mbs) { /* need to convert to SEQAIJ */ 308 ierr = MatConvert(pcbddc->local_mat,MATSEQAIJ,MAT_INITIAL_MATRIX,&newmat);CHKERRQ(ierr); 309 ierr = MatGetSubMatrix(newmat,pcbddc->is_R_local,is_aux,MAT_INITIAL_MATRIX,&A_RV);CHKERRQ(ierr); 310 ierr = MatGetSubMatrix(newmat,is_aux,pcbddc->is_R_local,MAT_INITIAL_MATRIX,&A_VR);CHKERRQ(ierr); 311 ierr = MatGetSubMatrix(newmat,is_aux,is_aux,MAT_INITIAL_MATRIX,&A_VV);CHKERRQ(ierr); 312 ierr = MatDestroy(&newmat);CHKERRQ(ierr); 313 } else { 314 /* this is safe */ 315 ierr = MatGetSubMatrix(pcbddc->local_mat,is_aux,is_aux,MAT_INITIAL_MATRIX,&A_VV);CHKERRQ(ierr); 316 ierr = PetscObjectTypeCompare((PetscObject)pcbddc->local_mat,MATSEQSBAIJ,&issbaij);CHKERRQ(ierr); 317 if (issbaij) { /* need to convert to BAIJ to get offdiagonal blocks */ 318 ierr = MatConvert(pcbddc->local_mat,MATSEQBAIJ,MAT_INITIAL_MATRIX,&newmat);CHKERRQ(ierr); 319 /* which of the two approaches is faster? */ 320 /* ierr = MatGetSubMatrix(newmat,pcbddc->is_R_local,is_aux,MAT_INITIAL_MATRIX,&A_RV);CHKERRQ(ierr); 321 ierr = MatCreateTranspose(A_RV,&A_VR);CHKERRQ(ierr);*/ 322 ierr = MatGetSubMatrix(newmat,is_aux,pcbddc->is_R_local,MAT_INITIAL_MATRIX,&A_VR);CHKERRQ(ierr); 323 ierr = MatCreateTranspose(A_VR,&A_RV);CHKERRQ(ierr); 324 ierr = MatDestroy(&newmat);CHKERRQ(ierr); 325 } else { 326 ierr = MatGetSubMatrix(pcbddc->local_mat,pcbddc->is_R_local,is_aux,MAT_INITIAL_MATRIX,&A_RV);CHKERRQ(ierr); 327 ierr = MatGetSubMatrix(pcbddc->local_mat,is_aux,pcbddc->is_R_local,MAT_INITIAL_MATRIX,&A_VR);CHKERRQ(ierr); 328 } 329 } 330 ierr = MatCreateVecs(A_RV,&vec1_V,NULL);CHKERRQ(ierr); 331 ierr = VecDuplicate(vec1_V,&vec2_V);CHKERRQ(ierr); 332 ierr = ISDestroy(&is_aux);CHKERRQ(ierr); 333 } 334 335 /* Matrix of coarse basis functions (local) */ 336 if (pcbddc->coarse_phi_B) { 337 PetscInt on_B,on_primal; 338 ierr = MatGetSize(pcbddc->coarse_phi_B,&on_B,&on_primal);CHKERRQ(ierr); 339 if (on_B != n_B || on_primal != pcbddc->local_primal_size) { 340 ierr = MatDestroy(&pcbddc->coarse_phi_B);CHKERRQ(ierr); 341 ierr = MatDestroy(&pcbddc->coarse_psi_B);CHKERRQ(ierr); 342 } 343 } 344 if (pcbddc->coarse_phi_D) { 345 PetscInt on_D,on_primal; 346 ierr = MatGetSize(pcbddc->coarse_phi_D,&on_D,&on_primal);CHKERRQ(ierr); 347 if (on_D != n_D || on_primal != pcbddc->local_primal_size) { 348 ierr = MatDestroy(&pcbddc->coarse_phi_D);CHKERRQ(ierr); 349 ierr = MatDestroy(&pcbddc->coarse_psi_D);CHKERRQ(ierr); 350 } 351 } 352 if (!pcbddc->coarse_phi_B) { 353 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->coarse_phi_B);CHKERRQ(ierr); 354 ierr = MatSetSizes(pcbddc->coarse_phi_B,n_B,pcbddc->local_primal_size,n_B,pcbddc->local_primal_size);CHKERRQ(ierr); 355 ierr = MatSetType(pcbddc->coarse_phi_B,impMatType);CHKERRQ(ierr); 356 ierr = MatSetUp(pcbddc->coarse_phi_B);CHKERRQ(ierr); 357 } 358 if ( (pcbddc->switch_static || pcbddc->dbg_flag) && !pcbddc->coarse_phi_D ) { 359 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->coarse_phi_D);CHKERRQ(ierr); 360 ierr = MatSetSizes(pcbddc->coarse_phi_D,n_D,pcbddc->local_primal_size,n_D,pcbddc->local_primal_size);CHKERRQ(ierr); 361 ierr = MatSetType(pcbddc->coarse_phi_D,impMatType);CHKERRQ(ierr); 362 ierr = MatSetUp(pcbddc->coarse_phi_D);CHKERRQ(ierr); 363 } 364 365 if (pcbddc->dbg_flag) { 366 ierr = ISGetIndices(pcbddc->is_R_local,&idx_R_local);CHKERRQ(ierr); 367 ierr = PetscMalloc1(2*pcbddc->local_primal_size,&coarsefunctions_errors);CHKERRQ(ierr); 368 ierr = PetscMalloc1(2*pcbddc->local_primal_size,&constraints_errors);CHKERRQ(ierr); 369 } 370 /* Subdomain contribution (Non-overlapping) to coarse matrix */ 371 ierr = PetscMalloc1((pcbddc->local_primal_size)*(pcbddc->local_primal_size),&coarse_submat_vals);CHKERRQ(ierr); 372 373 /* We are now ready to evaluate coarse basis functions and subdomain contribution to coarse problem */ 374 375 /* vertices */ 376 for (i=0;i<n_vertices;i++) { 377 /* this should not be needed, but MatMult_BAIJ is broken when using compressed row routines */ 378 ierr = VecSet(pcbddc->vec1_R,zero);CHKERRQ(ierr); /* TODO: REMOVE IT */ 379 ierr = VecSet(vec1_V,zero);CHKERRQ(ierr); 380 ierr = VecSetValue(vec1_V,i,one,INSERT_VALUES);CHKERRQ(ierr); 381 ierr = VecAssemblyBegin(vec1_V);CHKERRQ(ierr); 382 ierr = VecAssemblyEnd(vec1_V);CHKERRQ(ierr); 383 /* simplified solution of saddle point problem with null rhs on constraints multipliers */ 384 ierr = MatMult(A_RV,vec1_V,pcbddc->vec1_R);CHKERRQ(ierr); 385 ierr = KSPSolve(pcbddc->ksp_R,pcbddc->vec1_R,pcbddc->vec1_R);CHKERRQ(ierr); 386 ierr = VecScale(pcbddc->vec1_R,m_one);CHKERRQ(ierr); 387 if (n_constraints) { 388 ierr = MatMult(pcbddc->local_auxmat1,pcbddc->vec1_R,vec1_C);CHKERRQ(ierr); 389 ierr = MatMultAdd(pcbddc->local_auxmat2,vec1_C,pcbddc->vec1_R,pcbddc->vec1_R);CHKERRQ(ierr); 390 ierr = VecScale(vec1_C,m_one);CHKERRQ(ierr); 391 } 392 ierr = MatMult(A_VR,pcbddc->vec1_R,vec2_V);CHKERRQ(ierr); 393 ierr = MatMultAdd(A_VV,vec1_V,vec2_V,vec2_V);CHKERRQ(ierr); 394 395 /* Set values in coarse basis function and subdomain part of coarse_mat */ 396 /* coarse basis functions */ 397 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 398 ierr = VecScatterBegin(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 399 ierr = VecScatterEnd(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 400 ierr = VecGetArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 401 ierr = MatSetValues(pcbddc->coarse_phi_B,n_B,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 402 ierr = VecRestoreArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 403 ierr = MatSetValue(pcbddc->coarse_phi_B,idx_V_B[i],i,one,INSERT_VALUES);CHKERRQ(ierr); 404 if (pcbddc->switch_static || pcbddc->dbg_flag) { 405 ierr = VecScatterBegin(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 406 ierr = VecScatterEnd(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 407 ierr = VecGetArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 408 ierr = MatSetValues(pcbddc->coarse_phi_D,n_D,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 409 ierr = VecRestoreArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 410 } 411 /* subdomain contribution to coarse matrix. WARNING -> column major ordering */ 412 ierr = VecGetArrayRead(vec2_V,&array);CHKERRQ(ierr); 413 ierr = PetscMemcpy(&coarse_submat_vals[i*pcbddc->local_primal_size],array,n_vertices*sizeof(PetscScalar));CHKERRQ(ierr); 414 ierr = VecRestoreArrayRead(vec2_V,&array);CHKERRQ(ierr); 415 if (n_constraints) { 416 ierr = VecGetArrayRead(vec1_C,&array);CHKERRQ(ierr); 417 ierr = PetscMemcpy(&coarse_submat_vals[i*pcbddc->local_primal_size+n_vertices],array,n_constraints*sizeof(PetscScalar));CHKERRQ(ierr); 418 ierr = VecRestoreArrayRead(vec1_C,&array);CHKERRQ(ierr); 419 } 420 421 /* check */ 422 if (pcbddc->dbg_flag) { 423 /* assemble subdomain vector on local nodes */ 424 ierr = VecSet(pcis->vec1_N,zero);CHKERRQ(ierr); 425 ierr = VecGetArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 426 if (n_R) { 427 ierr = VecSetValues(pcis->vec1_N,n_R,idx_R_local,array,INSERT_VALUES);CHKERRQ(ierr); 428 } 429 ierr = VecRestoreArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 430 ierr = VecSetValue(pcis->vec1_N,pcbddc->primal_indices_local_idxs[i],one,INSERT_VALUES);CHKERRQ(ierr); 431 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 432 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 433 /* assemble subdomain vector of lagrange multipliers (i.e. primal nodes) */ 434 ierr = VecSet(pcbddc->vec1_P,zero);CHKERRQ(ierr); 435 ierr = VecGetArrayRead(vec2_V,&array);CHKERRQ(ierr); 436 ierr = VecSetValues(pcbddc->vec1_P,n_vertices,auxindices,array,INSERT_VALUES);CHKERRQ(ierr); 437 ierr = VecRestoreArrayRead(vec2_V,&array);CHKERRQ(ierr); 438 if (n_constraints) { 439 ierr = VecGetArrayRead(vec1_C,&array);CHKERRQ(ierr); 440 ierr = VecSetValues(pcbddc->vec1_P,n_constraints,&auxindices[n_vertices],array,INSERT_VALUES);CHKERRQ(ierr); 441 ierr = VecRestoreArrayRead(vec1_C,&array);CHKERRQ(ierr); 442 } 443 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 444 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 445 ierr = VecScale(pcbddc->vec1_P,m_one);CHKERRQ(ierr); 446 /* check saddle point solution */ 447 ierr = MatMult(pcbddc->local_mat,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 448 ierr = MatMultTransposeAdd(pcbddc->ConstraintMatrix,pcbddc->vec1_P,pcis->vec2_N,pcis->vec2_N);CHKERRQ(ierr); 449 ierr = VecNorm(pcis->vec2_N,NORM_INFINITY,&coarsefunctions_errors[i]);CHKERRQ(ierr); 450 ierr = MatMult(pcbddc->ConstraintMatrix,pcis->vec1_N,pcbddc->vec1_P);CHKERRQ(ierr); 451 /* shift by the identity matrix */ 452 ierr = VecSetValue(pcbddc->vec1_P,i,m_one,ADD_VALUES);CHKERRQ(ierr); 453 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 454 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 455 ierr = VecNorm(pcbddc->vec1_P,NORM_INFINITY,&constraints_errors[i]);CHKERRQ(ierr); 456 } 457 } 458 459 /* constraints */ 460 for (i=0;i<n_constraints;i++) { 461 ierr = VecSet(vec2_C,zero);CHKERRQ(ierr); 462 ierr = VecSetValue(vec2_C,i,m_one,INSERT_VALUES);CHKERRQ(ierr); 463 ierr = VecAssemblyBegin(vec2_C);CHKERRQ(ierr); 464 ierr = VecAssemblyEnd(vec2_C);CHKERRQ(ierr); 465 /* simplified solution of saddle point problem with null rhs on vertices multipliers */ 466 ierr = MatMult(M1,vec2_C,vec1_C);CHKERRQ(ierr); 467 ierr = MatMult(pcbddc->local_auxmat2,vec1_C,pcbddc->vec1_R);CHKERRQ(ierr); 468 ierr = VecScale(vec1_C,m_one);CHKERRQ(ierr); 469 if (n_vertices) { 470 ierr = MatMult(A_VR,pcbddc->vec1_R,vec2_V);CHKERRQ(ierr); 471 } 472 /* Set values in coarse basis function and subdomain part of coarse_mat */ 473 /* coarse basis functions */ 474 j = i+n_vertices; /* don't touch this! */ 475 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 476 ierr = VecScatterBegin(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 477 ierr = VecScatterEnd(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 478 ierr = VecGetArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 479 ierr = MatSetValues(pcbddc->coarse_phi_B,n_B,auxindices,1,&j,array,INSERT_VALUES);CHKERRQ(ierr); 480 ierr = VecRestoreArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 481 if (pcbddc->switch_static || pcbddc->dbg_flag) { 482 ierr = VecScatterBegin(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 483 ierr = VecScatterEnd(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 484 ierr = VecGetArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 485 ierr = MatSetValues(pcbddc->coarse_phi_D,n_D,auxindices,1,&j,array,INSERT_VALUES);CHKERRQ(ierr); 486 ierr = VecRestoreArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 487 } 488 /* subdomain contribution to coarse matrix. WARNING -> column major ordering */ 489 if (n_vertices) { 490 ierr = VecGetArrayRead(vec2_V,&array);CHKERRQ(ierr); 491 ierr = PetscMemcpy(&coarse_submat_vals[j*pcbddc->local_primal_size],array,n_vertices*sizeof(PetscScalar));CHKERRQ(ierr); 492 ierr = VecRestoreArrayRead(vec2_V,&array);CHKERRQ(ierr); 493 } 494 ierr = VecGetArrayRead(vec1_C,&array);CHKERRQ(ierr); 495 ierr = PetscMemcpy(&coarse_submat_vals[j*pcbddc->local_primal_size+n_vertices],array,n_constraints*sizeof(PetscScalar));CHKERRQ(ierr); 496 ierr = VecRestoreArrayRead(vec1_C,&array);CHKERRQ(ierr); 497 498 if (pcbddc->dbg_flag) { 499 /* assemble subdomain vector on nodes */ 500 ierr = VecSet(pcis->vec1_N,zero);CHKERRQ(ierr); 501 ierr = VecGetArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 502 if (n_R) { 503 ierr = VecSetValues(pcis->vec1_N,n_R,idx_R_local,array,INSERT_VALUES);CHKERRQ(ierr); 504 } 505 ierr = VecRestoreArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 506 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 507 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 508 /* assemble subdomain vector of lagrange multipliers */ 509 ierr = VecSet(pcbddc->vec1_P,zero);CHKERRQ(ierr); 510 if (n_vertices) { 511 ierr = VecGetArrayRead(vec2_V,&array);CHKERRQ(ierr); 512 ierr = VecSetValues(pcbddc->vec1_P,n_vertices,auxindices,array,INSERT_VALUES);CHKERRQ(ierr); 513 ierr = VecRestoreArrayRead(vec2_V,&array);CHKERRQ(ierr); 514 } 515 ierr = VecGetArrayRead(vec1_C,&array);CHKERRQ(ierr); 516 ierr = VecSetValues(pcbddc->vec1_P,n_constraints,&auxindices[n_vertices],array,INSERT_VALUES);CHKERRQ(ierr); 517 ierr = VecRestoreArrayRead(vec1_C,&array);CHKERRQ(ierr); 518 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 519 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 520 ierr = VecScale(pcbddc->vec1_P,m_one);CHKERRQ(ierr); 521 /* check saddle point solution */ 522 ierr = MatMult(pcbddc->local_mat,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 523 ierr = MatMultTransposeAdd(pcbddc->ConstraintMatrix,pcbddc->vec1_P,pcis->vec2_N,pcis->vec2_N);CHKERRQ(ierr); 524 ierr = VecNorm(pcis->vec2_N,NORM_INFINITY,&coarsefunctions_errors[j]);CHKERRQ(ierr); 525 ierr = MatMult(pcbddc->ConstraintMatrix,pcis->vec1_N,pcbddc->vec1_P);CHKERRQ(ierr); 526 /* shift by the identity matrix */ 527 ierr = VecSetValue(pcbddc->vec1_P,j,m_one,ADD_VALUES);CHKERRQ(ierr); 528 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 529 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 530 ierr = VecNorm(pcbddc->vec1_P,NORM_INFINITY,&constraints_errors[j]);CHKERRQ(ierr); 531 } 532 } 533 /* call assembling routines for local coarse basis */ 534 ierr = MatAssemblyBegin(pcbddc->coarse_phi_B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 535 ierr = MatAssemblyEnd(pcbddc->coarse_phi_B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 536 if (pcbddc->switch_static || pcbddc->dbg_flag) { 537 ierr = MatAssemblyBegin(pcbddc->coarse_phi_D,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 538 ierr = MatAssemblyEnd(pcbddc->coarse_phi_D,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 539 } 540 541 /* compute other basis functions for non-symmetric problems */ 542 /*ierr = MatIsSymmetric(pc->pmat,0.,&pcbddc->issym);CHKERRQ(ierr);*/ 543 { /* this is a temporary workaround since seqbaij matrices does not have support for symmetry checking */ 544 PetscBool setsym; 545 ierr = MatIsSymmetricKnown(pc->pmat,&setsym,&pcbddc->issym);CHKERRQ(ierr); 546 if (!setsym) pcbddc->issym = PETSC_FALSE; 547 } 548 549 if (!pcbddc->issym) { 550 if (!pcbddc->coarse_psi_B) { 551 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->coarse_psi_B);CHKERRQ(ierr); 552 ierr = MatSetSizes(pcbddc->coarse_psi_B,n_B,pcbddc->local_primal_size,n_B,pcbddc->local_primal_size);CHKERRQ(ierr); 553 ierr = MatSetType(pcbddc->coarse_psi_B,impMatType);CHKERRQ(ierr); 554 ierr = MatSetUp(pcbddc->coarse_psi_B);CHKERRQ(ierr); 555 } 556 if ( (pcbddc->switch_static || pcbddc->dbg_flag) && !pcbddc->coarse_psi_D) { 557 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->coarse_psi_D);CHKERRQ(ierr); 558 ierr = MatSetSizes(pcbddc->coarse_psi_D,n_D,pcbddc->local_primal_size,n_D,pcbddc->local_primal_size);CHKERRQ(ierr); 559 ierr = MatSetType(pcbddc->coarse_psi_D,impMatType);CHKERRQ(ierr); 560 ierr = MatSetUp(pcbddc->coarse_psi_D);CHKERRQ(ierr); 561 } 562 for (i=0;i<pcbddc->local_primal_size;i++) { 563 if (n_constraints) { 564 ierr = VecSet(vec1_C,zero);CHKERRQ(ierr); 565 for (j=0;j<n_constraints;j++) { 566 ierr = VecSetValue(vec1_C,j,coarse_submat_vals[(j+n_vertices)*pcbddc->local_primal_size+i],INSERT_VALUES);CHKERRQ(ierr); 567 } 568 ierr = VecAssemblyBegin(vec1_C);CHKERRQ(ierr); 569 ierr = VecAssemblyEnd(vec1_C);CHKERRQ(ierr); 570 } 571 if (i<n_vertices) { 572 ierr = VecSet(vec1_V,zero);CHKERRQ(ierr); 573 ierr = VecSetValue(vec1_V,i,m_one,INSERT_VALUES);CHKERRQ(ierr); 574 ierr = VecAssemblyBegin(vec1_V);CHKERRQ(ierr); 575 ierr = VecAssemblyEnd(vec1_V);CHKERRQ(ierr); 576 ierr = MatMultTranspose(A_VR,vec1_V,pcbddc->vec1_R);CHKERRQ(ierr); 577 if (n_constraints) { 578 ierr = MatMultTransposeAdd(C_CR,vec1_C,pcbddc->vec1_R,pcbddc->vec1_R);CHKERRQ(ierr); 579 } 580 } else { 581 ierr = MatMultTranspose(C_CR,vec1_C,pcbddc->vec1_R);CHKERRQ(ierr); 582 } 583 ierr = KSPSolveTranspose(pcbddc->ksp_R,pcbddc->vec1_R,pcbddc->vec1_R);CHKERRQ(ierr); 584 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 585 ierr = VecScatterBegin(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 586 ierr = VecScatterEnd(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 587 ierr = VecGetArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 588 ierr = MatSetValues(pcbddc->coarse_psi_B,n_B,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 589 ierr = VecRestoreArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 590 if (i<n_vertices) { 591 ierr = MatSetValue(pcbddc->coarse_psi_B,idx_V_B[i],i,one,INSERT_VALUES);CHKERRQ(ierr); 592 } 593 if (pcbddc->switch_static || pcbddc->dbg_flag) { 594 ierr = VecScatterBegin(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 595 ierr = VecScatterEnd(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 596 ierr = VecGetArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 597 ierr = MatSetValues(pcbddc->coarse_psi_D,n_D,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 598 ierr = VecRestoreArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 599 } 600 601 if (pcbddc->dbg_flag) { 602 /* assemble subdomain vector on nodes */ 603 ierr = VecSet(pcis->vec1_N,zero);CHKERRQ(ierr); 604 ierr = VecGetArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 605 if (n_R) { 606 ierr = VecSetValues(pcis->vec1_N,n_R,idx_R_local,array,INSERT_VALUES);CHKERRQ(ierr); 607 } 608 ierr = VecRestoreArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 609 if (i<n_vertices) { 610 ierr = VecSetValue(pcis->vec1_N,pcbddc->primal_indices_local_idxs[i],one,INSERT_VALUES);CHKERRQ(ierr); 611 } 612 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 613 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 614 /* assemble subdomain vector of lagrange multipliers */ 615 for (j=0;j<pcbddc->local_primal_size;j++) { 616 ierr = VecSetValue(pcbddc->vec1_P,j,-coarse_submat_vals[j*pcbddc->local_primal_size+i],INSERT_VALUES);CHKERRQ(ierr); 617 } 618 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 619 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 620 /* check saddle point solution */ 621 ierr = MatMultTranspose(pcbddc->local_mat,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 622 ierr = MatMultTransposeAdd(pcbddc->ConstraintMatrix,pcbddc->vec1_P,pcis->vec2_N,pcis->vec2_N);CHKERRQ(ierr); 623 ierr = VecNorm(pcis->vec2_N,NORM_INFINITY,&coarsefunctions_errors[i+pcbddc->local_primal_size]);CHKERRQ(ierr); 624 ierr = MatMult(pcbddc->ConstraintMatrix,pcis->vec1_N,pcbddc->vec1_P);CHKERRQ(ierr); 625 /* shift by the identity matrix */ 626 ierr = VecSetValue(pcbddc->vec1_P,i,m_one,ADD_VALUES);CHKERRQ(ierr); 627 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 628 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 629 ierr = VecNorm(pcbddc->vec1_P,NORM_INFINITY,&constraints_errors[i+pcbddc->local_primal_size]);CHKERRQ(ierr); 630 } 631 } 632 ierr = MatAssemblyBegin(pcbddc->coarse_psi_B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 633 ierr = MatAssemblyEnd(pcbddc->coarse_psi_B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 634 if (pcbddc->switch_static || pcbddc->dbg_flag) { 635 ierr = MatAssemblyBegin(pcbddc->coarse_psi_D,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 636 ierr = MatAssemblyEnd(pcbddc->coarse_psi_D,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 637 } 638 unsymmetric_check = PETSC_TRUE; 639 } else { /* take references to already computed coarse basis */ 640 unsymmetric_check = PETSC_FALSE; 641 ierr = PetscObjectReference((PetscObject)pcbddc->coarse_phi_B);CHKERRQ(ierr); 642 pcbddc->coarse_psi_B = pcbddc->coarse_phi_B; 643 if (pcbddc->coarse_phi_D) { 644 ierr = PetscObjectReference((PetscObject)pcbddc->coarse_phi_D);CHKERRQ(ierr); 645 pcbddc->coarse_psi_D = pcbddc->coarse_phi_D; 646 } 647 } 648 ierr = PetscFree(idx_V_B);CHKERRQ(ierr); 649 /* Checking coarse_sub_mat and coarse basis functios */ 650 /* Symmetric case : It should be \Phi^{(j)^T} A^{(j)} \Phi^{(j)}=coarse_sub_mat */ 651 /* Non-symmetric case : It should be \Psi^{(j)^T} A^{(j)} \Phi^{(j)}=coarse_sub_mat */ 652 if (pcbddc->dbg_flag) { 653 Mat coarse_sub_mat; 654 Mat AUXMAT,TM1,TM2,TM3,TM4; 655 Mat coarse_phi_D,coarse_phi_B; 656 Mat coarse_psi_D,coarse_psi_B; 657 Mat A_II,A_BB,A_IB,A_BI; 658 MatType checkmattype=MATSEQAIJ; 659 PetscReal real_value; 660 661 ierr = MatConvert(pcis->A_II,checkmattype,MAT_INITIAL_MATRIX,&A_II);CHKERRQ(ierr); 662 ierr = MatConvert(pcis->A_IB,checkmattype,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr); 663 ierr = MatConvert(pcis->A_BI,checkmattype,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr); 664 ierr = MatConvert(pcis->A_BB,checkmattype,MAT_INITIAL_MATRIX,&A_BB);CHKERRQ(ierr); 665 ierr = MatConvert(pcbddc->coarse_phi_D,checkmattype,MAT_INITIAL_MATRIX,&coarse_phi_D);CHKERRQ(ierr); 666 ierr = MatConvert(pcbddc->coarse_phi_B,checkmattype,MAT_INITIAL_MATRIX,&coarse_phi_B);CHKERRQ(ierr); 667 if (unsymmetric_check) { 668 ierr = MatConvert(pcbddc->coarse_psi_D,checkmattype,MAT_INITIAL_MATRIX,&coarse_psi_D);CHKERRQ(ierr); 669 ierr = MatConvert(pcbddc->coarse_psi_B,checkmattype,MAT_INITIAL_MATRIX,&coarse_psi_B);CHKERRQ(ierr); 670 } 671 ierr = MatCreateSeqDense(PETSC_COMM_SELF,pcbddc->local_primal_size,pcbddc->local_primal_size,coarse_submat_vals,&coarse_sub_mat);CHKERRQ(ierr); 672 673 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 674 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Check coarse sub mat and local basis functions\n");CHKERRQ(ierr); 675 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 676 if (unsymmetric_check) { 677 ierr = MatMatMult(A_II,coarse_phi_D,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 678 ierr = MatTransposeMatMult(coarse_psi_D,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM1);CHKERRQ(ierr); 679 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 680 ierr = MatMatMult(A_BB,coarse_phi_B,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 681 ierr = MatTransposeMatMult(coarse_psi_B,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM2);CHKERRQ(ierr); 682 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 683 ierr = MatMatMult(A_IB,coarse_phi_B,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 684 ierr = MatTransposeMatMult(coarse_psi_D,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM3);CHKERRQ(ierr); 685 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 686 ierr = MatMatMult(A_BI,coarse_phi_D,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 687 ierr = MatTransposeMatMult(coarse_psi_B,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM4);CHKERRQ(ierr); 688 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 689 } else { 690 ierr = MatPtAP(A_II,coarse_phi_D,MAT_INITIAL_MATRIX,1.0,&TM1);CHKERRQ(ierr); 691 ierr = MatPtAP(A_BB,coarse_phi_B,MAT_INITIAL_MATRIX,1.0,&TM2);CHKERRQ(ierr); 692 ierr = MatMatMult(A_IB,coarse_phi_B,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 693 ierr = MatTransposeMatMult(coarse_phi_D,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM3);CHKERRQ(ierr); 694 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 695 ierr = MatMatMult(A_BI,coarse_phi_D,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 696 ierr = MatTransposeMatMult(coarse_phi_B,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM4);CHKERRQ(ierr); 697 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 698 } 699 ierr = MatAXPY(TM1,one,TM2,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 700 ierr = MatAXPY(TM1,one,TM3,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 701 ierr = MatAXPY(TM1,one,TM4,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 702 ierr = MatConvert(TM1,MATSEQDENSE,MAT_REUSE_MATRIX,&TM1);CHKERRQ(ierr); 703 ierr = MatAXPY(TM1,m_one,coarse_sub_mat,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 704 ierr = MatNorm(TM1,NORM_INFINITY,&real_value);CHKERRQ(ierr); 705 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 706 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"----------------------------------\n");CHKERRQ(ierr); 707 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d \n",PetscGlobalRank);CHKERRQ(ierr); 708 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"matrix error = % 1.14e\n",real_value);CHKERRQ(ierr); 709 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"coarse functions (phi) errors\n");CHKERRQ(ierr); 710 for (i=0;i<pcbddc->local_primal_size;i++) { 711 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local %02d-th function error = % 1.14e\n",i,coarsefunctions_errors[i]);CHKERRQ(ierr); 712 } 713 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"constraints (phi) errors\n");CHKERRQ(ierr); 714 for (i=0;i<pcbddc->local_primal_size;i++) { 715 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local %02d-th function error = % 1.14e\n",i,constraints_errors[i]);CHKERRQ(ierr); 716 } 717 if (unsymmetric_check) { 718 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"coarse functions (psi) errors\n");CHKERRQ(ierr); 719 for (i=pcbddc->local_primal_size;i<2*pcbddc->local_primal_size;i++) { 720 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local %02d-th function error = % 1.14e\n",i-pcbddc->local_primal_size,coarsefunctions_errors[i]);CHKERRQ(ierr); 721 } 722 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"constraints (psi) errors\n");CHKERRQ(ierr); 723 for (i=pcbddc->local_primal_size;i<2*pcbddc->local_primal_size;i++) { 724 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local %02d-th function error = % 1.14e\n",i-pcbddc->local_primal_size,constraints_errors[i]);CHKERRQ(ierr); 725 } 726 } 727 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 728 ierr = MatDestroy(&A_II);CHKERRQ(ierr); 729 ierr = MatDestroy(&A_BB);CHKERRQ(ierr); 730 ierr = MatDestroy(&A_IB);CHKERRQ(ierr); 731 ierr = MatDestroy(&A_BI);CHKERRQ(ierr); 732 ierr = MatDestroy(&TM1);CHKERRQ(ierr); 733 ierr = MatDestroy(&TM2);CHKERRQ(ierr); 734 ierr = MatDestroy(&TM3);CHKERRQ(ierr); 735 ierr = MatDestroy(&TM4);CHKERRQ(ierr); 736 ierr = MatDestroy(&coarse_phi_D);CHKERRQ(ierr); 737 ierr = MatDestroy(&coarse_phi_B);CHKERRQ(ierr); 738 if (unsymmetric_check) { 739 ierr = MatDestroy(&coarse_psi_D);CHKERRQ(ierr); 740 ierr = MatDestroy(&coarse_psi_B);CHKERRQ(ierr); 741 } 742 ierr = MatDestroy(&coarse_sub_mat);CHKERRQ(ierr); 743 ierr = ISRestoreIndices(pcbddc->is_R_local,&idx_R_local);CHKERRQ(ierr); 744 ierr = PetscFree(coarsefunctions_errors);CHKERRQ(ierr); 745 ierr = PetscFree(constraints_errors);CHKERRQ(ierr); 746 } 747 /* free memory */ 748 if (n_vertices) { 749 ierr = VecDestroy(&vec1_V);CHKERRQ(ierr); 750 ierr = VecDestroy(&vec2_V);CHKERRQ(ierr); 751 ierr = MatDestroy(&A_RV);CHKERRQ(ierr); 752 ierr = MatDestroy(&A_VR);CHKERRQ(ierr); 753 ierr = MatDestroy(&A_VV);CHKERRQ(ierr); 754 } 755 if (n_constraints) { 756 ierr = VecDestroy(&vec1_C);CHKERRQ(ierr); 757 ierr = VecDestroy(&vec2_C);CHKERRQ(ierr); 758 ierr = MatDestroy(&M1);CHKERRQ(ierr); 759 ierr = MatDestroy(&C_CR);CHKERRQ(ierr); 760 } 761 ierr = PetscFree(auxindices);CHKERRQ(ierr); 762 /* get back data */ 763 *coarse_submat_vals_n = coarse_submat_vals; 764 PetscFunctionReturn(0); 765 } 766 767 #undef __FUNCT__ 768 #define __FUNCT__ "PCBDDCSetUpLocalMatrices" 769 PetscErrorCode PCBDDCSetUpLocalMatrices(PC pc) 770 { 771 PC_IS* pcis = (PC_IS*)(pc->data); 772 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 773 Mat_IS* matis = (Mat_IS*)pc->pmat->data; 774 PetscBool issbaij,isseqaij; 775 /* manage repeated solves */ 776 MatReuse reuse; 777 PetscErrorCode ierr; 778 779 PetscFunctionBegin; 780 if ( (pcbddc->use_change_of_basis && !pcbddc->ChangeOfBasisMatrix) || (pcbddc->user_ChangeOfBasisMatrix && !pcbddc->ChangeOfBasisMatrix) ) { 781 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"BDDC Change of basis matrix has not been created"); 782 } 783 /* get mat flags */ 784 reuse = MAT_INITIAL_MATRIX; 785 if (pc->setupcalled) { 786 if (pc->flag == SAME_NONZERO_PATTERN) { 787 reuse = MAT_REUSE_MATRIX; 788 } else { 789 reuse = MAT_INITIAL_MATRIX; 790 } 791 } 792 if (reuse == MAT_INITIAL_MATRIX) { 793 ierr = MatDestroy(&pcis->A_II);CHKERRQ(ierr); 794 ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr); 795 ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr); 796 ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr); 797 ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr); 798 } 799 800 /* transform local matrices if needed */ 801 if (pcbddc->ChangeOfBasisMatrix) { 802 Mat *change_mat_all; 803 IS is_local,is_global; 804 PetscBool sorted; 805 PetscInt *idxs_perm; 806 807 ierr = ISCreateStride(PETSC_COMM_SELF,pcis->n,0,1,&is_local);CHKERRQ(ierr); 808 ierr = ISLocalToGlobalMappingApplyIS(matis->mapping,is_local,&is_global);CHKERRQ(ierr); 809 ierr = ISDestroy(&is_local);CHKERRQ(ierr); 810 ierr = ISSorted(is_global,&sorted);CHKERRQ(ierr); 811 if (!sorted) { 812 const PetscInt *idxs; 813 PetscInt *idxs_sorted,i; 814 815 ierr = PetscMalloc1(pcis->n,&idxs_perm);CHKERRQ(ierr); 816 ierr = PetscMalloc1(pcis->n,&idxs_sorted);CHKERRQ(ierr); 817 for (i=0;i<pcis->n;i++) { 818 idxs_perm[i] = i; 819 } 820 ierr = ISGetIndices(is_global,&idxs);CHKERRQ(ierr); 821 ierr = PetscSortIntWithPermutation(pcis->n,idxs,idxs_perm);CHKERRQ(ierr); 822 for (i=0;i<pcis->n;i++) { 823 idxs_sorted[i] = idxs[idxs_perm[i]]; 824 } 825 ierr = ISRestoreIndices(is_global,&idxs);CHKERRQ(ierr); 826 ierr = ISDestroy(&is_global);CHKERRQ(ierr); 827 ierr = ISCreateGeneral(PETSC_COMM_SELF,pcis->n,idxs_sorted,PETSC_OWN_POINTER,&is_global);CHKERRQ(ierr); 828 } 829 830 /* get change of basis on the whole set of local dofs */ 831 ierr = MatGetSubMatrices(pcbddc->ChangeOfBasisMatrix,1,&is_global,&is_global,MAT_INITIAL_MATRIX,&change_mat_all);CHKERRQ(ierr); 832 833 if (!sorted) { 834 Mat new_mat; 835 IS is_perm; 836 PetscInt *idxs,i; 837 838 ierr = PetscMalloc1(pcis->n,&idxs);CHKERRQ(ierr); 839 for (i=0;i<pcis->n;i++) { 840 idxs[idxs_perm[i]] = i; 841 } 842 ierr = PetscFree(idxs_perm);CHKERRQ(ierr); 843 ierr = ISCreateGeneral(PETSC_COMM_SELF,pcis->n,idxs,PETSC_OWN_POINTER,&is_perm);CHKERRQ(ierr); 844 ierr = ISSetPermutation(is_perm);CHKERRQ(ierr); 845 ierr = MatPermute(change_mat_all[0],is_perm,is_perm,&new_mat);CHKERRQ(ierr); 846 ierr = MatDestroy(&change_mat_all[0]);CHKERRQ(ierr); 847 change_mat_all[0] = new_mat; 848 ierr = ISDestroy(&is_perm);CHKERRQ(ierr); 849 } 850 851 /* check */ 852 if (pcbddc->dbg_flag) { 853 Vec x,x_change; 854 PetscReal error; 855 856 ierr = VecDuplicate(pcis->vec1_global,&x);CHKERRQ(ierr); 857 ierr = VecDuplicate(pcis->vec1_global,&x_change);CHKERRQ(ierr); 858 ierr = VecSetRandom(x,NULL);CHKERRQ(ierr); 859 ierr = VecCopy(x,pcis->vec1_global);CHKERRQ(ierr); 860 ierr = VecScatterBegin(matis->ctx,x,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 861 ierr = VecScatterEnd(matis->ctx,x,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 862 ierr = MatMult(change_mat_all[0],pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 863 ierr = VecScatterBegin(matis->ctx,pcis->vec2_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 864 ierr = VecScatterEnd(matis->ctx,pcis->vec2_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 865 ierr = MatMult(pcbddc->ChangeOfBasisMatrix,pcis->vec1_global,x_change);CHKERRQ(ierr); 866 ierr = VecAXPY(x,-1.0,x_change);CHKERRQ(ierr); 867 ierr = VecNorm(x,NORM_INFINITY,&error);CHKERRQ(ierr); 868 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 869 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Error global vs local change on N: %1.6e\n",error);CHKERRQ(ierr); 870 ierr = VecDestroy(&x);CHKERRQ(ierr); 871 ierr = VecDestroy(&x_change);CHKERRQ(ierr); 872 } 873 874 /* TODO: HOW TO WORK WITH BAIJ and SBAIJ and SEQDENSE? */ 875 ierr = PetscObjectTypeCompare((PetscObject)matis->A,MATSEQAIJ,&isseqaij);CHKERRQ(ierr); 876 if (isseqaij) { 877 ierr = MatPtAP(matis->A,change_mat_all[0],reuse,2.0,&pcbddc->local_mat);CHKERRQ(ierr); 878 } else { 879 Mat work_mat; 880 ierr = MatConvert(matis->A,MATSEQAIJ,MAT_INITIAL_MATRIX,&work_mat);CHKERRQ(ierr); 881 ierr = MatPtAP(work_mat,change_mat_all[0],reuse,2.0,&pcbddc->local_mat);CHKERRQ(ierr); 882 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 883 } 884 /* 885 ierr = PetscViewerSetFormat(PETSC_VIEWER_STDOUT_SELF,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 886 ierr = MatView(change_mat_all,(PetscViewer)0);CHKERRQ(ierr); 887 */ 888 ierr = MatDestroyMatrices(1,&change_mat_all);CHKERRQ(ierr); 889 ierr = ISDestroy(&is_global);CHKERRQ(ierr); 890 } else { 891 /* without change of basis, the local matrix is unchanged */ 892 if (!pcbddc->local_mat) { 893 ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr); 894 pcbddc->local_mat = matis->A; 895 } 896 } 897 898 /* get submatrices */ 899 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_I_local,reuse,&pcis->A_II);CHKERRQ(ierr); 900 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,reuse,&pcis->A_BB);CHKERRQ(ierr); 901 ierr = PetscObjectTypeCompare((PetscObject)pcbddc->local_mat,MATSEQSBAIJ,&issbaij);CHKERRQ(ierr); 902 if (!issbaij) { 903 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,reuse,&pcis->A_IB);CHKERRQ(ierr); 904 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,reuse,&pcis->A_BI);CHKERRQ(ierr); 905 } else { 906 Mat newmat; 907 ierr = MatConvert(pcbddc->local_mat,MATSEQBAIJ,MAT_INITIAL_MATRIX,&newmat);CHKERRQ(ierr); 908 ierr = MatGetSubMatrix(newmat,pcis->is_I_local,pcis->is_B_local,reuse,&pcis->A_IB);CHKERRQ(ierr); 909 ierr = MatGetSubMatrix(newmat,pcis->is_B_local,pcis->is_I_local,reuse,&pcis->A_BI);CHKERRQ(ierr); 910 ierr = MatDestroy(&newmat);CHKERRQ(ierr); 911 } 912 PetscFunctionReturn(0); 913 } 914 915 #undef __FUNCT__ 916 #define __FUNCT__ "PCBDDCSetUpLocalScatters" 917 PetscErrorCode PCBDDCSetUpLocalScatters(PC pc) 918 { 919 PC_IS* pcis = (PC_IS*)(pc->data); 920 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 921 IS is_aux1,is_aux2; 922 PetscInt *aux_array1,*aux_array2,*is_indices,*idx_R_local; 923 PetscInt n_vertices,i,j,n_R,n_D,n_B; 924 PetscInt vbs,bs; 925 PetscBT bitmask; 926 PetscErrorCode ierr; 927 928 PetscFunctionBegin; 929 /* 930 No need to setup local scatters if 931 - primal space is unchanged 932 AND 933 - we actually have locally some primal dofs (could not be true in multilevel or for isolated subdomains) 934 AND 935 - we are not in debugging mode (this is needed since there are Synchronized prints at the end of the subroutine 936 */ 937 if (!pcbddc->new_primal_space_local && pcbddc->local_primal_size && !pcbddc->dbg_flag) { 938 PetscFunctionReturn(0); 939 } 940 /* destroy old objects */ 941 ierr = ISDestroy(&pcbddc->is_R_local);CHKERRQ(ierr); 942 ierr = VecScatterDestroy(&pcbddc->R_to_B);CHKERRQ(ierr); 943 ierr = VecScatterDestroy(&pcbddc->R_to_D);CHKERRQ(ierr); 944 /* Set Non-overlapping dimensions */ 945 n_B = pcis->n_B; n_D = pcis->n - n_B; 946 n_vertices = pcbddc->n_actual_vertices; 947 /* create auxiliary bitmask */ 948 ierr = PetscBTCreate(pcis->n,&bitmask);CHKERRQ(ierr); 949 for (i=0;i<n_vertices;i++) { 950 ierr = PetscBTSet(bitmask,pcbddc->primal_indices_local_idxs[i]);CHKERRQ(ierr); 951 } 952 953 /* Dohrmann's notation: dofs splitted in R (Remaining: all dofs but the vertices) and V (Vertices) */ 954 ierr = PetscMalloc1((pcis->n-n_vertices),&idx_R_local);CHKERRQ(ierr); 955 for (i=0, n_R=0; i<pcis->n; i++) { 956 if (!PetscBTLookup(bitmask,i)) { 957 idx_R_local[n_R] = i; 958 n_R++; 959 } 960 } 961 962 /* Block code */ 963 vbs = 1; 964 ierr = MatGetBlockSize(pcbddc->local_mat,&bs);CHKERRQ(ierr); 965 if (bs>1 && !(n_vertices%bs)) { 966 PetscBool is_blocked = PETSC_TRUE; 967 PetscInt *vary; 968 /* Verify if the vertex indices correspond to each element in a block (code taken from sbaij2.c) */ 969 ierr = PetscMalloc1(pcis->n/bs,&vary);CHKERRQ(ierr); 970 ierr = PetscMemzero(vary,pcis->n/bs*sizeof(PetscInt));CHKERRQ(ierr); 971 for (i=0; i<n_vertices; i++) vary[pcbddc->primal_indices_local_idxs[i]/bs]++; 972 for (i=0; i<n_vertices; i++) { 973 if (vary[i]!=0 && vary[i]!=bs) { 974 is_blocked = PETSC_FALSE; 975 break; 976 } 977 } 978 if (is_blocked) { /* build compressed IS for R nodes (complement of vertices) */ 979 vbs = bs; 980 for (i=0;i<n_R/vbs;i++) { 981 idx_R_local[i] = idx_R_local[vbs*i]/vbs; 982 } 983 } 984 ierr = PetscFree(vary);CHKERRQ(ierr); 985 } 986 ierr = ISCreateBlock(PETSC_COMM_SELF,vbs,n_R/vbs,idx_R_local,PETSC_COPY_VALUES,&pcbddc->is_R_local);CHKERRQ(ierr); 987 ierr = PetscFree(idx_R_local);CHKERRQ(ierr); 988 989 /* print some info if requested */ 990 if (pcbddc->dbg_flag) { 991 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 992 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 993 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 994 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d local dimensions\n",PetscGlobalRank);CHKERRQ(ierr); 995 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local_size = %d, dirichlet_size = %d, boundary_size = %d\n",pcis->n,n_D,n_B);CHKERRQ(ierr); 996 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"r_size = %d, v_size = %d, constraints = %d, local_primal_size = %d\n",n_R,n_vertices,pcbddc->local_primal_size-n_vertices,pcbddc->local_primal_size);CHKERRQ(ierr); 997 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"pcbddc->n_vertices = %d, pcbddc->n_constraints = %d\n",pcbddc->n_vertices,pcbddc->n_constraints);CHKERRQ(ierr); 998 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 999 } 1000 1001 /* VecScatters pcbddc->R_to_B and (optionally) pcbddc->R_to_D */ 1002 ierr = ISGetIndices(pcbddc->is_R_local,(const PetscInt**)&idx_R_local);CHKERRQ(ierr); 1003 ierr = PetscMalloc1((pcis->n_B-n_vertices),&aux_array1);CHKERRQ(ierr); 1004 ierr = PetscMalloc1((pcis->n_B-n_vertices),&aux_array2);CHKERRQ(ierr); 1005 ierr = ISGetIndices(pcis->is_I_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1006 for (i=0; i<n_D; i++) { 1007 ierr = PetscBTSet(bitmask,is_indices[i]);CHKERRQ(ierr); 1008 } 1009 ierr = ISRestoreIndices(pcis->is_I_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1010 for (i=0, j=0; i<n_R; i++) { 1011 if (!PetscBTLookup(bitmask,idx_R_local[i])) { 1012 aux_array1[j++] = i; 1013 } 1014 } 1015 ierr = ISCreateGeneral(PETSC_COMM_SELF,j,aux_array1,PETSC_OWN_POINTER,&is_aux1);CHKERRQ(ierr); 1016 ierr = ISGetIndices(pcis->is_B_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1017 for (i=0, j=0; i<n_B; i++) { 1018 if (!PetscBTLookup(bitmask,is_indices[i])) { 1019 aux_array2[j++] = i; 1020 } 1021 } 1022 ierr = ISRestoreIndices(pcis->is_B_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1023 ierr = ISCreateGeneral(PETSC_COMM_SELF,j,aux_array2,PETSC_OWN_POINTER,&is_aux2);CHKERRQ(ierr); 1024 ierr = VecScatterCreate(pcbddc->vec1_R,is_aux1,pcis->vec1_B,is_aux2,&pcbddc->R_to_B);CHKERRQ(ierr); 1025 ierr = ISDestroy(&is_aux1);CHKERRQ(ierr); 1026 ierr = ISDestroy(&is_aux2);CHKERRQ(ierr); 1027 1028 if (pcbddc->switch_static || pcbddc->dbg_flag) { 1029 ierr = PetscMalloc1(n_D,&aux_array1);CHKERRQ(ierr); 1030 for (i=0, j=0; i<n_R; i++) { 1031 if (PetscBTLookup(bitmask,idx_R_local[i])) { 1032 aux_array1[j++] = i; 1033 } 1034 } 1035 ierr = ISCreateGeneral(PETSC_COMM_SELF,j,aux_array1,PETSC_OWN_POINTER,&is_aux1);CHKERRQ(ierr); 1036 ierr = VecScatterCreate(pcbddc->vec1_R,is_aux1,pcis->vec1_D,(IS)0,&pcbddc->R_to_D);CHKERRQ(ierr); 1037 ierr = ISDestroy(&is_aux1);CHKERRQ(ierr); 1038 } 1039 ierr = PetscBTDestroy(&bitmask);CHKERRQ(ierr); 1040 ierr = ISRestoreIndices(pcbddc->is_R_local,(const PetscInt**)&idx_R_local);CHKERRQ(ierr); 1041 PetscFunctionReturn(0); 1042 } 1043 1044 1045 #undef __FUNCT__ 1046 #define __FUNCT__ "PCBDDCSetUpLocalSolvers" 1047 PetscErrorCode PCBDDCSetUpLocalSolvers(PC pc) 1048 { 1049 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 1050 PC_IS *pcis = (PC_IS*)pc->data; 1051 PC pc_temp; 1052 Mat A_RR; 1053 MatReuse reuse; 1054 PetscScalar m_one = -1.0; 1055 PetscReal value; 1056 PetscInt n_D,n_R,ibs,mbs; 1057 PetscBool use_exact,use_exact_reduced,issbaij; 1058 PetscErrorCode ierr; 1059 /* prefixes stuff */ 1060 char dir_prefix[256],neu_prefix[256],str_level[16]; 1061 size_t len; 1062 1063 PetscFunctionBegin; 1064 1065 /* compute prefixes */ 1066 ierr = PetscStrcpy(dir_prefix,"");CHKERRQ(ierr); 1067 ierr = PetscStrcpy(neu_prefix,"");CHKERRQ(ierr); 1068 if (!pcbddc->current_level) { 1069 ierr = PetscStrcpy(dir_prefix,((PetscObject)pc)->prefix);CHKERRQ(ierr); 1070 ierr = PetscStrcpy(neu_prefix,((PetscObject)pc)->prefix);CHKERRQ(ierr); 1071 ierr = PetscStrcat(dir_prefix,"pc_bddc_dirichlet_");CHKERRQ(ierr); 1072 ierr = PetscStrcat(neu_prefix,"pc_bddc_neumann_");CHKERRQ(ierr); 1073 } else { 1074 ierr = PetscStrcpy(str_level,"");CHKERRQ(ierr); 1075 sprintf(str_level,"l%d_",(int)(pcbddc->current_level)); 1076 ierr = PetscStrlen(((PetscObject)pc)->prefix,&len);CHKERRQ(ierr); 1077 len -= 15; /* remove "pc_bddc_coarse_" */ 1078 if (pcbddc->current_level>1) len -= 3; /* remove "lX_" with X level number */ 1079 if (pcbddc->current_level>10) len -= 1; /* remove another char from level number */ 1080 ierr = PetscStrncpy(dir_prefix,((PetscObject)pc)->prefix,len+1);CHKERRQ(ierr); 1081 ierr = PetscStrncpy(neu_prefix,((PetscObject)pc)->prefix,len+1);CHKERRQ(ierr); 1082 ierr = PetscStrcat(dir_prefix,"pc_bddc_dirichlet_");CHKERRQ(ierr); 1083 ierr = PetscStrcat(neu_prefix,"pc_bddc_neumann_");CHKERRQ(ierr); 1084 ierr = PetscStrcat(dir_prefix,str_level);CHKERRQ(ierr); 1085 ierr = PetscStrcat(neu_prefix,str_level);CHKERRQ(ierr); 1086 } 1087 1088 /* DIRICHLET PROBLEM */ 1089 /* Matrix for Dirichlet problem is pcis->A_II */ 1090 ierr = ISGetSize(pcis->is_I_local,&n_D);CHKERRQ(ierr); 1091 if (!pcbddc->ksp_D) { /* create object if not yet build */ 1092 ierr = KSPCreate(PETSC_COMM_SELF,&pcbddc->ksp_D);CHKERRQ(ierr); 1093 ierr = PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_D,(PetscObject)pc,1);CHKERRQ(ierr); 1094 /* default */ 1095 ierr = KSPSetType(pcbddc->ksp_D,KSPPREONLY);CHKERRQ(ierr); 1096 ierr = KSPSetOptionsPrefix(pcbddc->ksp_D,dir_prefix);CHKERRQ(ierr); 1097 ierr = PetscObjectTypeCompare((PetscObject)pcis->A_II,MATSEQSBAIJ,&issbaij);CHKERRQ(ierr); 1098 ierr = KSPGetPC(pcbddc->ksp_D,&pc_temp);CHKERRQ(ierr); 1099 if (issbaij) { 1100 ierr = PCSetType(pc_temp,PCCHOLESKY);CHKERRQ(ierr); 1101 } else { 1102 ierr = PCSetType(pc_temp,PCLU);CHKERRQ(ierr); 1103 } 1104 /* Allow user's customization */ 1105 ierr = KSPSetFromOptions(pcbddc->ksp_D);CHKERRQ(ierr); 1106 ierr = PCFactorSetReuseFill(pc_temp,PETSC_TRUE);CHKERRQ(ierr); 1107 } 1108 ierr = KSPSetOperators(pcbddc->ksp_D,pcis->A_II,pcis->A_II);CHKERRQ(ierr); 1109 /* umfpack interface has a bug when matrix dimension is zero. TODO solve from umfpack interface */ 1110 if (!n_D) { 1111 ierr = KSPGetPC(pcbddc->ksp_D,&pc_temp);CHKERRQ(ierr); 1112 ierr = PCSetType(pc_temp,PCNONE);CHKERRQ(ierr); 1113 } 1114 /* Set Up KSP for Dirichlet problem of BDDC */ 1115 ierr = KSPSetUp(pcbddc->ksp_D);CHKERRQ(ierr); 1116 /* set ksp_D into pcis data */ 1117 ierr = KSPDestroy(&pcis->ksp_D);CHKERRQ(ierr); 1118 ierr = PetscObjectReference((PetscObject)pcbddc->ksp_D);CHKERRQ(ierr); 1119 pcis->ksp_D = pcbddc->ksp_D; 1120 1121 /* NEUMANN PROBLEM */ 1122 /* Matrix for Neumann problem is A_RR -> we need to create/reuse it at this point */ 1123 ierr = ISGetSize(pcbddc->is_R_local,&n_R);CHKERRQ(ierr); 1124 if (pcbddc->ksp_R) { /* already created ksp */ 1125 PetscInt nn_R; 1126 ierr = KSPGetOperators(pcbddc->ksp_R,NULL,&A_RR);CHKERRQ(ierr); 1127 ierr = PetscObjectReference((PetscObject)A_RR);CHKERRQ(ierr); 1128 ierr = MatGetSize(A_RR,&nn_R,NULL);CHKERRQ(ierr); 1129 if (nn_R != n_R) { /* old ksp is not reusable, so reset it */ 1130 ierr = KSPReset(pcbddc->ksp_R);CHKERRQ(ierr); 1131 ierr = MatDestroy(&A_RR);CHKERRQ(ierr); 1132 reuse = MAT_INITIAL_MATRIX; 1133 } else { /* same sizes, but nonzero pattern depend on primal vertices so it can be changed */ 1134 if (pcbddc->new_primal_space_local) { /* we are not sure the matrix will have the same nonzero pattern */ 1135 ierr = MatDestroy(&A_RR);CHKERRQ(ierr); 1136 reuse = MAT_INITIAL_MATRIX; 1137 } else { /* safe to reuse the matrix */ 1138 reuse = MAT_REUSE_MATRIX; 1139 } 1140 } 1141 /* last check */ 1142 if (pc->flag == DIFFERENT_NONZERO_PATTERN) { 1143 ierr = MatDestroy(&A_RR);CHKERRQ(ierr); 1144 reuse = MAT_INITIAL_MATRIX; 1145 } 1146 } else { /* first time, so we need to create the matrix */ 1147 reuse = MAT_INITIAL_MATRIX; 1148 } 1149 /* extract A_RR */ 1150 ierr = MatGetBlockSize(pcbddc->local_mat,&mbs);CHKERRQ(ierr); 1151 ierr = ISGetBlockSize(pcbddc->is_R_local,&ibs);CHKERRQ(ierr); 1152 if (ibs != mbs) { 1153 Mat newmat; 1154 ierr = MatConvert(pcbddc->local_mat,MATSEQAIJ,MAT_INITIAL_MATRIX,&newmat);CHKERRQ(ierr); 1155 ierr = MatGetSubMatrix(newmat,pcbddc->is_R_local,pcbddc->is_R_local,reuse,&A_RR);CHKERRQ(ierr); 1156 ierr = MatDestroy(&newmat);CHKERRQ(ierr); 1157 } else { 1158 ierr = MatGetSubMatrix(pcbddc->local_mat,pcbddc->is_R_local,pcbddc->is_R_local,reuse,&A_RR);CHKERRQ(ierr); 1159 } 1160 if (!pcbddc->ksp_R) { /* create object if not present */ 1161 ierr = KSPCreate(PETSC_COMM_SELF,&pcbddc->ksp_R);CHKERRQ(ierr); 1162 ierr = PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_R,(PetscObject)pc,1);CHKERRQ(ierr); 1163 /* default */ 1164 ierr = KSPSetType(pcbddc->ksp_R,KSPPREONLY);CHKERRQ(ierr); 1165 ierr = KSPSetOptionsPrefix(pcbddc->ksp_R,neu_prefix);CHKERRQ(ierr); 1166 ierr = KSPGetPC(pcbddc->ksp_R,&pc_temp);CHKERRQ(ierr); 1167 ierr = PetscObjectTypeCompare((PetscObject)A_RR,MATSEQSBAIJ,&issbaij);CHKERRQ(ierr); 1168 if (issbaij) { 1169 ierr = PCSetType(pc_temp,PCCHOLESKY);CHKERRQ(ierr); 1170 } else { 1171 ierr = PCSetType(pc_temp,PCLU);CHKERRQ(ierr); 1172 } 1173 /* Allow user's customization */ 1174 ierr = KSPSetFromOptions(pcbddc->ksp_R);CHKERRQ(ierr); 1175 ierr = PCFactorSetReuseFill(pc_temp,PETSC_TRUE);CHKERRQ(ierr); 1176 } 1177 ierr = KSPSetOperators(pcbddc->ksp_R,A_RR,A_RR);CHKERRQ(ierr); 1178 /* umfpack interface has a bug when matrix dimension is zero. TODO solve from umfpack interface */ 1179 if (!n_R) { 1180 ierr = KSPGetPC(pcbddc->ksp_R,&pc_temp);CHKERRQ(ierr); 1181 ierr = PCSetType(pc_temp,PCNONE);CHKERRQ(ierr); 1182 } 1183 /* Set Up KSP for Neumann problem of BDDC */ 1184 ierr = KSPSetUp(pcbddc->ksp_R);CHKERRQ(ierr); 1185 1186 /* check Dirichlet and Neumann solvers and adapt them if a nullspace correction is needed */ 1187 if (pcbddc->NullSpace || pcbddc->dbg_flag) { 1188 /* Dirichlet */ 1189 ierr = VecSetRandom(pcis->vec1_D,NULL);CHKERRQ(ierr); 1190 ierr = MatMult(pcis->A_II,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr); 1191 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec2_D,pcis->vec2_D);CHKERRQ(ierr); 1192 ierr = VecAXPY(pcis->vec1_D,m_one,pcis->vec2_D);CHKERRQ(ierr); 1193 ierr = VecNorm(pcis->vec1_D,NORM_INFINITY,&value);CHKERRQ(ierr); 1194 /* need to be adapted? */ 1195 use_exact = (PetscAbsReal(value) > 1.e-4 ? PETSC_FALSE : PETSC_TRUE); 1196 ierr = MPI_Allreduce(&use_exact,&use_exact_reduced,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 1197 ierr = PCBDDCSetUseExactDirichlet(pc,use_exact_reduced);CHKERRQ(ierr); 1198 /* print info */ 1199 if (pcbddc->dbg_flag) { 1200 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 1201 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 1202 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 1203 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Checking solution of Dirichlet and Neumann problems\n");CHKERRQ(ierr); 1204 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d infinity error for Dirichlet solve (%s) = % 1.14e \n",PetscGlobalRank,((PetscObject)(pcbddc->ksp_D))->prefix,value);CHKERRQ(ierr); 1205 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 1206 } 1207 if (pcbddc->NullSpace && !use_exact_reduced && !pcbddc->switch_static) { 1208 ierr = PCBDDCNullSpaceAssembleCorrection(pc,pcis->is_I_local);CHKERRQ(ierr); 1209 } 1210 1211 /* Neumann */ 1212 ierr = VecSetRandom(pcbddc->vec1_R,NULL);CHKERRQ(ierr); 1213 ierr = MatMult(A_RR,pcbddc->vec1_R,pcbddc->vec2_R);CHKERRQ(ierr); 1214 ierr = KSPSolve(pcbddc->ksp_R,pcbddc->vec2_R,pcbddc->vec2_R);CHKERRQ(ierr); 1215 ierr = VecAXPY(pcbddc->vec1_R,m_one,pcbddc->vec2_R);CHKERRQ(ierr); 1216 ierr = VecNorm(pcbddc->vec1_R,NORM_INFINITY,&value);CHKERRQ(ierr); 1217 /* need to be adapted? */ 1218 use_exact = (PetscAbsReal(value) > 1.e-4 ? PETSC_FALSE : PETSC_TRUE); 1219 ierr = MPI_Allreduce(&use_exact,&use_exact_reduced,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 1220 /* print info */ 1221 if (pcbddc->dbg_flag) { 1222 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d infinity error for Neumann solve (%s) = % 1.14e \n",PetscGlobalRank,((PetscObject)(pcbddc->ksp_R))->prefix,value);CHKERRQ(ierr); 1223 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 1224 } 1225 if (pcbddc->NullSpace && !use_exact_reduced) { /* is it the right logic? */ 1226 ierr = PCBDDCNullSpaceAssembleCorrection(pc,pcbddc->is_R_local);CHKERRQ(ierr); 1227 } 1228 } 1229 /* free Neumann problem's matrix */ 1230 ierr = MatDestroy(&A_RR);CHKERRQ(ierr); 1231 PetscFunctionReturn(0); 1232 } 1233 1234 #undef __FUNCT__ 1235 #define __FUNCT__ "PCBDDCSolveSubstructureCorrection" 1236 static PetscErrorCode PCBDDCSolveSubstructureCorrection(PC pc, Vec rhs, Vec sol, Vec work, PetscBool applytranspose) 1237 { 1238 PetscErrorCode ierr; 1239 PC_BDDC* pcbddc = (PC_BDDC*)(pc->data); 1240 1241 PetscFunctionBegin; 1242 if (applytranspose) { 1243 if (pcbddc->local_auxmat1) { 1244 ierr = MatMultTranspose(pcbddc->local_auxmat2,rhs,work);CHKERRQ(ierr); 1245 ierr = MatMultTransposeAdd(pcbddc->local_auxmat1,work,rhs,rhs);CHKERRQ(ierr); 1246 } 1247 ierr = KSPSolveTranspose(pcbddc->ksp_R,rhs,sol);CHKERRQ(ierr); 1248 } else { 1249 ierr = KSPSolve(pcbddc->ksp_R,rhs,sol);CHKERRQ(ierr); 1250 if (pcbddc->local_auxmat1) { 1251 ierr = MatMult(pcbddc->local_auxmat1,sol,work);CHKERRQ(ierr); 1252 ierr = MatMultAdd(pcbddc->local_auxmat2,work,sol,sol);CHKERRQ(ierr); 1253 } 1254 } 1255 PetscFunctionReturn(0); 1256 } 1257 1258 /* parameter apply transpose determines if the interface preconditioner should be applied transposed or not */ 1259 #undef __FUNCT__ 1260 #define __FUNCT__ "PCBDDCApplyInterfacePreconditioner" 1261 PetscErrorCode PCBDDCApplyInterfacePreconditioner(PC pc, PetscBool applytranspose) 1262 { 1263 PetscErrorCode ierr; 1264 PC_BDDC* pcbddc = (PC_BDDC*)(pc->data); 1265 PC_IS* pcis = (PC_IS*) (pc->data); 1266 const PetscScalar zero = 0.0; 1267 1268 PetscFunctionBegin; 1269 /* Application of PSI^T or PHI^T (depending on applytranspose, see comment above) */ 1270 if (applytranspose) { 1271 ierr = MatMultTranspose(pcbddc->coarse_phi_B,pcis->vec1_B,pcbddc->vec1_P);CHKERRQ(ierr); 1272 if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcbddc->coarse_phi_D,pcis->vec1_D,pcbddc->vec1_P,pcbddc->vec1_P);CHKERRQ(ierr); } 1273 } else { 1274 ierr = MatMultTranspose(pcbddc->coarse_psi_B,pcis->vec1_B,pcbddc->vec1_P);CHKERRQ(ierr); 1275 if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcbddc->coarse_psi_D,pcis->vec1_D,pcbddc->vec1_P,pcbddc->vec1_P);CHKERRQ(ierr); } 1276 } 1277 /* start communications from local primal nodes to rhs of coarse solver */ 1278 ierr = VecSet(pcbddc->coarse_vec,zero);CHKERRQ(ierr); 1279 ierr = PCBDDCScatterCoarseDataBegin(pc,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1280 ierr = PCBDDCScatterCoarseDataEnd(pc,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1281 1282 /* Coarse solution -> rhs and sol updated inside PCBDDCScattarCoarseDataBegin/End */ 1283 /* TODO remove null space when doing multilevel */ 1284 if (pcbddc->coarse_ksp) { 1285 if (applytranspose) { 1286 ierr = KSPSolveTranspose(pcbddc->coarse_ksp,NULL,NULL);CHKERRQ(ierr); 1287 } else { 1288 ierr = KSPSolve(pcbddc->coarse_ksp,NULL,NULL);CHKERRQ(ierr); 1289 } 1290 } 1291 1292 /* Local solution on R nodes */ 1293 if (pcis->n) { 1294 ierr = VecSet(pcbddc->vec1_R,zero);CHKERRQ(ierr); 1295 ierr = VecScatterBegin(pcbddc->R_to_B,pcis->vec1_B,pcbddc->vec1_R,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1296 ierr = VecScatterEnd(pcbddc->R_to_B,pcis->vec1_B,pcbddc->vec1_R,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1297 if (pcbddc->switch_static) { 1298 ierr = VecScatterBegin(pcbddc->R_to_D,pcis->vec1_D,pcbddc->vec1_R,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1299 ierr = VecScatterEnd(pcbddc->R_to_D,pcis->vec1_D,pcbddc->vec1_R,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1300 } 1301 ierr = PCBDDCSolveSubstructureCorrection(pc,pcbddc->vec1_R,pcbddc->vec2_R,pcbddc->vec1_C,applytranspose);CHKERRQ(ierr); 1302 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 1303 ierr = VecScatterBegin(pcbddc->R_to_B,pcbddc->vec2_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1304 ierr = VecScatterEnd(pcbddc->R_to_B,pcbddc->vec2_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1305 if (pcbddc->switch_static) { 1306 ierr = VecScatterBegin(pcbddc->R_to_D,pcbddc->vec2_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1307 ierr = VecScatterEnd(pcbddc->R_to_D,pcbddc->vec2_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1308 } 1309 } 1310 1311 /* communications from coarse sol to local primal nodes */ 1312 ierr = PCBDDCScatterCoarseDataBegin(pc,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1313 ierr = PCBDDCScatterCoarseDataEnd(pc,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1314 1315 /* Sum contributions from two levels */ 1316 if (applytranspose) { 1317 ierr = MatMultAdd(pcbddc->coarse_psi_B,pcbddc->vec1_P,pcis->vec1_B,pcis->vec1_B);CHKERRQ(ierr); 1318 if (pcbddc->switch_static) { ierr = MatMultAdd(pcbddc->coarse_psi_D,pcbddc->vec1_P,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); } 1319 } else { 1320 ierr = MatMultAdd(pcbddc->coarse_phi_B,pcbddc->vec1_P,pcis->vec1_B,pcis->vec1_B);CHKERRQ(ierr); 1321 if (pcbddc->switch_static) { ierr = MatMultAdd(pcbddc->coarse_phi_D,pcbddc->vec1_P,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); } 1322 } 1323 PetscFunctionReturn(0); 1324 } 1325 1326 /* TODO: the following two function can be optimized using VecPlaceArray whenever possible and using overlap flag */ 1327 #undef __FUNCT__ 1328 #define __FUNCT__ "PCBDDCScatterCoarseDataBegin" 1329 PetscErrorCode PCBDDCScatterCoarseDataBegin(PC pc,InsertMode imode, ScatterMode smode) 1330 { 1331 PetscErrorCode ierr; 1332 PC_BDDC* pcbddc = (PC_BDDC*)(pc->data); 1333 PetscScalar *array,*array2; 1334 Vec from,to; 1335 1336 PetscFunctionBegin; 1337 if (smode == SCATTER_REVERSE) { /* from global to local -> get data from coarse solution */ 1338 from = pcbddc->coarse_vec; 1339 to = pcbddc->vec1_P; 1340 if (pcbddc->coarse_ksp) { /* get array from coarse processes */ 1341 Vec tvec; 1342 PetscInt lsize; 1343 ierr = KSPGetSolution(pcbddc->coarse_ksp,&tvec);CHKERRQ(ierr); 1344 ierr = VecGetLocalSize(tvec,&lsize);CHKERRQ(ierr); 1345 ierr = VecGetArrayRead(tvec,(const PetscScalar**)&array);CHKERRQ(ierr); 1346 ierr = VecGetArray(from,&array2);CHKERRQ(ierr); 1347 ierr = PetscMemcpy(array2,array,lsize*sizeof(PetscScalar));CHKERRQ(ierr); 1348 ierr = VecRestoreArrayRead(tvec,(const PetscScalar**)&array);CHKERRQ(ierr); 1349 ierr = VecRestoreArray(from,&array2);CHKERRQ(ierr); 1350 } 1351 } else { /* from local to global -> put data in coarse right hand side */ 1352 from = pcbddc->vec1_P; 1353 to = pcbddc->coarse_vec; 1354 } 1355 ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,from,to,imode,smode);CHKERRQ(ierr); 1356 PetscFunctionReturn(0); 1357 } 1358 1359 #undef __FUNCT__ 1360 #define __FUNCT__ "PCBDDCScatterCoarseDataEnd" 1361 PetscErrorCode PCBDDCScatterCoarseDataEnd(PC pc, InsertMode imode, ScatterMode smode) 1362 { 1363 PetscErrorCode ierr; 1364 PC_BDDC* pcbddc = (PC_BDDC*)(pc->data); 1365 PetscScalar *array,*array2; 1366 Vec from,to; 1367 1368 PetscFunctionBegin; 1369 if (smode == SCATTER_REVERSE) { /* from global to local -> get data from coarse solution */ 1370 from = pcbddc->coarse_vec; 1371 to = pcbddc->vec1_P; 1372 } else { /* from local to global -> put data in coarse right hand side */ 1373 from = pcbddc->vec1_P; 1374 to = pcbddc->coarse_vec; 1375 } 1376 ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,from,to,imode,smode);CHKERRQ(ierr); 1377 if (smode == SCATTER_FORWARD) { 1378 if (pcbddc->coarse_ksp) { /* get array from coarse processes */ 1379 Vec tvec; 1380 PetscInt lsize; 1381 ierr = KSPGetRhs(pcbddc->coarse_ksp,&tvec);CHKERRQ(ierr); 1382 ierr = VecGetLocalSize(tvec,&lsize);CHKERRQ(ierr); 1383 ierr = VecGetArrayRead(to,(const PetscScalar**)&array);CHKERRQ(ierr); 1384 ierr = VecGetArray(tvec,&array2);CHKERRQ(ierr); 1385 ierr = PetscMemcpy(array2,array,lsize*sizeof(PetscScalar));CHKERRQ(ierr); 1386 ierr = VecRestoreArrayRead(to,(const PetscScalar**)&array);CHKERRQ(ierr); 1387 ierr = VecRestoreArray(tvec,&array2);CHKERRQ(ierr); 1388 } 1389 } 1390 PetscFunctionReturn(0); 1391 } 1392 1393 /* uncomment for testing purposes */ 1394 /* #define PETSC_MISSING_LAPACK_GESVD 1 */ 1395 #undef __FUNCT__ 1396 #define __FUNCT__ "PCBDDCConstraintsSetUp" 1397 PetscErrorCode PCBDDCConstraintsSetUp(PC pc) 1398 { 1399 PetscErrorCode ierr; 1400 PC_IS* pcis = (PC_IS*)(pc->data); 1401 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 1402 Mat_IS* matis = (Mat_IS*)pc->pmat->data; 1403 /* constraint and (optionally) change of basis matrix implemented as SeqAIJ */ 1404 MatType impMatType=MATSEQAIJ; 1405 /* one and zero */ 1406 PetscScalar one=1.0,zero=0.0; 1407 /* space to store constraints and their local indices */ 1408 PetscScalar *temp_quadrature_constraint; 1409 PetscInt *temp_indices,*temp_indices_to_constraint,*temp_indices_to_constraint_B; 1410 /* iterators */ 1411 PetscInt i,j,k,total_counts,temp_start_ptr; 1412 /* stuff to store connected components stored in pcbddc->mat_graph */ 1413 IS ISForVertices,*ISForFaces,*ISForEdges,*used_IS; 1414 PetscInt n_ISForFaces,n_ISForEdges; 1415 /* near null space stuff */ 1416 MatNullSpace nearnullsp; 1417 const Vec *nearnullvecs; 1418 Vec *localnearnullsp; 1419 PetscBool nnsp_has_cnst; 1420 PetscInt nnsp_size; 1421 PetscScalar *array; 1422 /* BLAS integers */ 1423 PetscBLASInt lwork,lierr; 1424 PetscBLASInt Blas_N,Blas_M,Blas_K,Blas_one=1; 1425 PetscBLASInt Blas_LDA,Blas_LDB,Blas_LDC; 1426 /* LAPACK working arrays for SVD or POD */ 1427 PetscBool skip_lapack; 1428 PetscScalar *work; 1429 PetscReal *singular_vals; 1430 #if defined(PETSC_USE_COMPLEX) 1431 PetscReal *rwork; 1432 #endif 1433 #if defined(PETSC_MISSING_LAPACK_GESVD) 1434 PetscBLASInt Blas_one_2=1; 1435 PetscScalar *temp_basis,*correlation_mat; 1436 #else 1437 PetscBLASInt dummy_int_1=1,dummy_int_2=1; 1438 PetscScalar dummy_scalar_1=0.0,dummy_scalar_2=0.0; 1439 #endif 1440 /* reuse */ 1441 PetscInt olocal_primal_size; 1442 PetscInt *oprimal_indices_local_idxs; 1443 /* change of basis */ 1444 PetscInt *aux_primal_numbering,*aux_primal_minloc,*global_indices; 1445 PetscBool boolforchange,qr_needed; 1446 PetscBT touched,change_basis,qr_needed_idx; 1447 /* auxiliary stuff */ 1448 PetscInt *nnz,*is_indices,*aux_primal_numbering_B; 1449 /* some quantities */ 1450 PetscInt n_vertices,total_primal_vertices,valid_constraints; 1451 PetscInt size_of_constraint,max_size_of_constraint,max_constraints,temp_constraints; 1452 1453 1454 PetscFunctionBegin; 1455 /* Destroy Mat objects computed previously */ 1456 ierr = MatDestroy(&pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr); 1457 ierr = MatDestroy(&pcbddc->ConstraintMatrix);CHKERRQ(ierr); 1458 /* Get index sets for faces, edges and vertices from graph */ 1459 ierr = PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph,&n_ISForFaces,&ISForFaces,&n_ISForEdges,&ISForEdges,&ISForVertices);CHKERRQ(ierr); 1460 /* free unneeded index sets */ 1461 if (!pcbddc->use_vertices) { 1462 ierr = ISDestroy(&ISForVertices);CHKERRQ(ierr); 1463 } 1464 if (!pcbddc->use_edges) { 1465 for (i=0;i<n_ISForEdges;i++) { 1466 ierr = ISDestroy(&ISForEdges[i]);CHKERRQ(ierr); 1467 } 1468 ierr = PetscFree(ISForEdges);CHKERRQ(ierr); 1469 n_ISForEdges = 0; 1470 } 1471 if (!pcbddc->use_faces) { 1472 for (i=0;i<n_ISForFaces;i++) { 1473 ierr = ISDestroy(&ISForFaces[i]);CHKERRQ(ierr); 1474 } 1475 ierr = PetscFree(ISForFaces);CHKERRQ(ierr); 1476 n_ISForFaces = 0; 1477 } 1478 /* HACKS (the following two blocks of code) */ 1479 if (!ISForVertices && pcbddc->NullSpace && !pcbddc->user_ChangeOfBasisMatrix) { 1480 pcbddc->use_change_of_basis = PETSC_TRUE; 1481 if (!ISForEdges) { 1482 pcbddc->use_change_on_faces = PETSC_TRUE; 1483 } 1484 } 1485 if (pcbddc->NullSpace) { 1486 /* use_change_of_basis should be consistent among processors */ 1487 PetscBool tbool[2],gbool[2]; 1488 tbool [0] = pcbddc->use_change_of_basis; 1489 tbool [1] = pcbddc->use_change_on_faces; 1490 ierr = MPI_Allreduce(tbool,gbool,2,MPIU_BOOL,MPI_LOR,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 1491 pcbddc->use_change_of_basis = gbool[0]; 1492 pcbddc->use_change_on_faces = gbool[1]; 1493 } 1494 /* print some info */ 1495 if (pcbddc->dbg_flag) { 1496 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 1497 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"--------------------------------------------------------------\n");CHKERRQ(ierr); 1498 i = 0; 1499 if (ISForVertices) { 1500 ierr = ISGetSize(ISForVertices,&i);CHKERRQ(ierr); 1501 } 1502 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d got %02d local candidate vertices\n",PetscGlobalRank,i);CHKERRQ(ierr); 1503 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d got %02d local candidate edges\n",PetscGlobalRank,n_ISForEdges);CHKERRQ(ierr); 1504 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d got %02d local candidate faces\n",PetscGlobalRank,n_ISForFaces);CHKERRQ(ierr); 1505 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 1506 } 1507 /* check if near null space is attached to global mat */ 1508 ierr = MatGetNearNullSpace(pc->pmat,&nearnullsp);CHKERRQ(ierr); 1509 if (nearnullsp) { 1510 ierr = MatNullSpaceGetVecs(nearnullsp,&nnsp_has_cnst,&nnsp_size,&nearnullvecs);CHKERRQ(ierr); 1511 /* remove any stored info */ 1512 ierr = MatNullSpaceDestroy(&pcbddc->onearnullspace);CHKERRQ(ierr); 1513 ierr = PetscFree(pcbddc->onearnullvecs_state);CHKERRQ(ierr); 1514 /* store information for BDDC solver reuse */ 1515 ierr = PetscObjectReference((PetscObject)nearnullsp);CHKERRQ(ierr); 1516 pcbddc->onearnullspace = nearnullsp; 1517 ierr = PetscMalloc1(nnsp_size,&pcbddc->onearnullvecs_state);CHKERRQ(ierr); 1518 for (i=0;i<nnsp_size;i++) { 1519 ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&pcbddc->onearnullvecs_state[i]);CHKERRQ(ierr); 1520 } 1521 } else { /* if near null space is not provided BDDC uses constants by default */ 1522 nnsp_size = 0; 1523 nnsp_has_cnst = PETSC_TRUE; 1524 } 1525 /* get max number of constraints on a single cc */ 1526 max_constraints = nnsp_size; 1527 if (nnsp_has_cnst) max_constraints++; 1528 1529 /* 1530 Evaluate maximum storage size needed by the procedure 1531 - temp_indices will contain start index of each constraint stored as follows 1532 - temp_indices_to_constraint [temp_indices[i],...,temp[indices[i+1]-1] will contain the indices (in local numbering) on which the constraint acts 1533 - temp_indices_to_constraint_B[temp_indices[i],...,temp[indices[i+1]-1] will contain the indices (in boundary numbering) on which the constraint acts 1534 - temp_quadrature_constraint [temp_indices[i],...,temp[indices[i+1]-1] will contain the scalars representing the constraint itself 1535 */ 1536 total_counts = n_ISForFaces+n_ISForEdges; 1537 total_counts *= max_constraints; 1538 n_vertices = 0; 1539 if (ISForVertices) { 1540 ierr = ISGetSize(ISForVertices,&n_vertices);CHKERRQ(ierr); 1541 } 1542 total_counts += n_vertices; 1543 ierr = PetscMalloc1((total_counts+1),&temp_indices);CHKERRQ(ierr); 1544 ierr = PetscBTCreate(total_counts,&change_basis);CHKERRQ(ierr); 1545 total_counts = 0; 1546 max_size_of_constraint = 0; 1547 for (i=0;i<n_ISForEdges+n_ISForFaces;i++) { 1548 if (i<n_ISForEdges) { 1549 used_IS = &ISForEdges[i]; 1550 } else { 1551 used_IS = &ISForFaces[i-n_ISForEdges]; 1552 } 1553 ierr = ISGetSize(*used_IS,&j);CHKERRQ(ierr); 1554 total_counts += j; 1555 max_size_of_constraint = PetscMax(j,max_size_of_constraint); 1556 } 1557 total_counts *= max_constraints; 1558 total_counts += n_vertices; 1559 ierr = PetscMalloc3(total_counts,&temp_quadrature_constraint,total_counts,&temp_indices_to_constraint,total_counts,&temp_indices_to_constraint_B);CHKERRQ(ierr); 1560 /* get local part of global near null space vectors */ 1561 ierr = PetscMalloc1(nnsp_size,&localnearnullsp);CHKERRQ(ierr); 1562 for (k=0;k<nnsp_size;k++) { 1563 ierr = VecDuplicate(pcis->vec1_N,&localnearnullsp[k]);CHKERRQ(ierr); 1564 ierr = VecScatterBegin(matis->ctx,nearnullvecs[k],localnearnullsp[k],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1565 ierr = VecScatterEnd(matis->ctx,nearnullvecs[k],localnearnullsp[k],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1566 } 1567 1568 /* whether or not to skip lapack calls */ 1569 skip_lapack = PETSC_TRUE; 1570 if (n_ISForFaces+n_ISForEdges) skip_lapack = PETSC_FALSE; 1571 1572 /* First we issue queries to allocate optimal workspace for LAPACKgesvd (or LAPACKsyev if SVD is missing) */ 1573 if (!pcbddc->use_nnsp_true && !skip_lapack) { 1574 PetscScalar temp_work; 1575 #if defined(PETSC_MISSING_LAPACK_GESVD) 1576 /* Proper Orthogonal Decomposition (POD) using the snapshot method */ 1577 ierr = PetscMalloc1(max_constraints*max_constraints,&correlation_mat);CHKERRQ(ierr); 1578 ierr = PetscMalloc1(max_constraints,&singular_vals);CHKERRQ(ierr); 1579 ierr = PetscMalloc1(max_size_of_constraint*max_constraints,&temp_basis);CHKERRQ(ierr); 1580 #if defined(PETSC_USE_COMPLEX) 1581 ierr = PetscMalloc1(3*max_constraints,&rwork);CHKERRQ(ierr); 1582 #endif 1583 /* now we evaluate the optimal workspace using query with lwork=-1 */ 1584 ierr = PetscBLASIntCast(max_constraints,&Blas_N);CHKERRQ(ierr); 1585 ierr = PetscBLASIntCast(max_constraints,&Blas_LDA);CHKERRQ(ierr); 1586 lwork = -1; 1587 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1588 #if !defined(PETSC_USE_COMPLEX) 1589 PetscStackCallBLAS("LAPACKsyev",LAPACKsyev_("V","U",&Blas_N,correlation_mat,&Blas_LDA,singular_vals,&temp_work,&lwork,&lierr)); 1590 #else 1591 PetscStackCallBLAS("LAPACKsyev",LAPACKsyev_("V","U",&Blas_N,correlation_mat,&Blas_LDA,singular_vals,&temp_work,&lwork,rwork,&lierr)); 1592 #endif 1593 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1594 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYEV Lapack routine %d",(int)lierr); 1595 #else /* on missing GESVD */ 1596 /* SVD */ 1597 PetscInt max_n,min_n; 1598 max_n = max_size_of_constraint; 1599 min_n = max_constraints; 1600 if (max_size_of_constraint < max_constraints) { 1601 min_n = max_size_of_constraint; 1602 max_n = max_constraints; 1603 } 1604 ierr = PetscMalloc1(min_n,&singular_vals);CHKERRQ(ierr); 1605 #if defined(PETSC_USE_COMPLEX) 1606 ierr = PetscMalloc1(5*min_n,&rwork);CHKERRQ(ierr); 1607 #endif 1608 /* now we evaluate the optimal workspace using query with lwork=-1 */ 1609 lwork = -1; 1610 ierr = PetscBLASIntCast(max_n,&Blas_M);CHKERRQ(ierr); 1611 ierr = PetscBLASIntCast(min_n,&Blas_N);CHKERRQ(ierr); 1612 ierr = PetscBLASIntCast(max_n,&Blas_LDA);CHKERRQ(ierr); 1613 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1614 #if !defined(PETSC_USE_COMPLEX) 1615 PetscStackCallBLAS("LAPACKgesvd",LAPACKgesvd_("O","N",&Blas_M,&Blas_N,&temp_quadrature_constraint[0],&Blas_LDA,singular_vals,&dummy_scalar_1,&dummy_int_1,&dummy_scalar_2,&dummy_int_2,&temp_work,&lwork,&lierr)); 1616 #else 1617 PetscStackCallBLAS("LAPACKgesvd",LAPACKgesvd_("O","N",&Blas_M,&Blas_N,&temp_quadrature_constraint[0],&Blas_LDA,singular_vals,&dummy_scalar_1,&dummy_int_1,&dummy_scalar_2,&dummy_int_2,&temp_work,&lwork,rwork,&lierr)); 1618 #endif 1619 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1620 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GESVD Lapack routine %d",(int)lierr); 1621 #endif /* on missing GESVD */ 1622 /* Allocate optimal workspace */ 1623 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(temp_work),&lwork);CHKERRQ(ierr); 1624 ierr = PetscMalloc1((PetscInt)lwork,&work);CHKERRQ(ierr); 1625 } 1626 /* Now we can loop on constraining sets */ 1627 total_counts = 0; 1628 temp_indices[0] = 0; 1629 /* vertices */ 1630 if (ISForVertices) { 1631 ierr = ISGetIndices(ISForVertices,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1632 if (nnsp_has_cnst) { /* consider all vertices */ 1633 ierr = PetscMemcpy(&temp_indices_to_constraint[temp_indices[total_counts]],is_indices,n_vertices*sizeof(PetscInt));CHKERRQ(ierr); 1634 for (i=0;i<n_vertices;i++) { 1635 temp_quadrature_constraint[temp_indices[total_counts]]=1.0; 1636 temp_indices[total_counts+1]=temp_indices[total_counts]+1; 1637 total_counts++; 1638 } 1639 } else { /* consider vertices for which exist at least a localnearnullsp which is not null there */ 1640 PetscBool used_vertex; 1641 for (i=0;i<n_vertices;i++) { 1642 used_vertex = PETSC_FALSE; 1643 k = 0; 1644 while (!used_vertex && k<nnsp_size) { 1645 ierr = VecGetArrayRead(localnearnullsp[k],(const PetscScalar**)&array);CHKERRQ(ierr); 1646 if (PetscAbsScalar(array[is_indices[i]])>0.0) { 1647 temp_indices_to_constraint[temp_indices[total_counts]]=is_indices[i]; 1648 temp_quadrature_constraint[temp_indices[total_counts]]=1.0; 1649 temp_indices[total_counts+1]=temp_indices[total_counts]+1; 1650 total_counts++; 1651 used_vertex = PETSC_TRUE; 1652 } 1653 ierr = VecRestoreArrayRead(localnearnullsp[k],(const PetscScalar**)&array);CHKERRQ(ierr); 1654 k++; 1655 } 1656 } 1657 } 1658 ierr = ISRestoreIndices(ISForVertices,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1659 n_vertices = total_counts; 1660 } 1661 1662 /* edges and faces */ 1663 for (i=0;i<n_ISForEdges+n_ISForFaces;i++) { 1664 if (i<n_ISForEdges) { 1665 used_IS = &ISForEdges[i]; 1666 boolforchange = pcbddc->use_change_of_basis; /* change or not the basis on the edge */ 1667 } else { 1668 used_IS = &ISForFaces[i-n_ISForEdges]; 1669 boolforchange = (PetscBool)(pcbddc->use_change_of_basis && pcbddc->use_change_on_faces); /* change or not the basis on the face */ 1670 } 1671 temp_constraints = 0; /* zero the number of constraints I have on this conn comp */ 1672 temp_start_ptr = total_counts; /* need to know the starting index of constraints stored */ 1673 ierr = ISGetSize(*used_IS,&size_of_constraint);CHKERRQ(ierr); 1674 ierr = ISGetIndices(*used_IS,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1675 /* change of basis should not be performed on local periodic nodes */ 1676 if (pcbddc->mat_graph->mirrors && pcbddc->mat_graph->mirrors[is_indices[0]]) boolforchange = PETSC_FALSE; 1677 if (nnsp_has_cnst) { 1678 PetscScalar quad_value; 1679 temp_constraints++; 1680 quad_value = (PetscScalar)(1.0/PetscSqrtReal((PetscReal)size_of_constraint)); 1681 ierr = PetscMemcpy(&temp_indices_to_constraint[temp_indices[total_counts]],is_indices,size_of_constraint*sizeof(PetscInt));CHKERRQ(ierr); 1682 for (j=0;j<size_of_constraint;j++) { 1683 temp_quadrature_constraint[temp_indices[total_counts]+j]=quad_value; 1684 } 1685 temp_indices[total_counts+1]=temp_indices[total_counts]+size_of_constraint; /* store new starting point */ 1686 total_counts++; 1687 } 1688 for (k=0;k<nnsp_size;k++) { 1689 PetscReal real_value; 1690 ierr = VecGetArrayRead(localnearnullsp[k],(const PetscScalar**)&array);CHKERRQ(ierr); 1691 ierr = PetscMemcpy(&temp_indices_to_constraint[temp_indices[total_counts]],is_indices,size_of_constraint*sizeof(PetscInt));CHKERRQ(ierr); 1692 for (j=0;j<size_of_constraint;j++) { 1693 temp_quadrature_constraint[temp_indices[total_counts]+j]=array[is_indices[j]]; 1694 } 1695 ierr = VecRestoreArrayRead(localnearnullsp[k],(const PetscScalar**)&array);CHKERRQ(ierr); 1696 /* check if array is null on the connected component */ 1697 ierr = PetscBLASIntCast(size_of_constraint,&Blas_N);CHKERRQ(ierr); 1698 PetscStackCallBLAS("BLASasum",real_value = BLASasum_(&Blas_N,&temp_quadrature_constraint[temp_indices[total_counts]],&Blas_one)); 1699 if (real_value > 0.0) { /* keep indices and values */ 1700 temp_constraints++; 1701 temp_indices[total_counts+1]=temp_indices[total_counts]+size_of_constraint; /* store new starting point */ 1702 total_counts++; 1703 } 1704 } 1705 ierr = ISRestoreIndices(*used_IS,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1706 valid_constraints = temp_constraints; 1707 /* perform SVD on the constraints if use_nnsp_true has not be requested by the user and there are non-null constraints on the cc */ 1708 if (!pcbddc->use_nnsp_true && temp_constraints) { 1709 PetscReal tol = 1.0e-8; /* tolerance for retaining eigenmodes */ 1710 1711 #if defined(PETSC_MISSING_LAPACK_GESVD) 1712 /* SVD: Y = U*S*V^H -> U (eigenvectors of Y*Y^H) = Y*V*(S)^\dag 1713 POD: Y^H*Y = V*D*V^H, D = S^H*S -> U = Y*V*D^(-1/2) 1714 -> When PETSC_USE_COMPLEX and PETSC_MISSING_LAPACK_GESVD are defined 1715 the constraints basis will differ (by a complex factor with absolute value equal to 1) 1716 from that computed using LAPACKgesvd 1717 -> This is due to a different computation of eigenvectors in LAPACKheev 1718 -> The quality of the POD-computed basis will be the same */ 1719 ierr = PetscMemzero(correlation_mat,temp_constraints*temp_constraints*sizeof(PetscScalar));CHKERRQ(ierr); 1720 /* Store upper triangular part of correlation matrix */ 1721 ierr = PetscBLASIntCast(size_of_constraint,&Blas_N);CHKERRQ(ierr); 1722 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1723 for (j=0;j<temp_constraints;j++) { 1724 for (k=0;k<j+1;k++) { 1725 PetscStackCallBLAS("BLASdot",correlation_mat[j*temp_constraints+k]=BLASdot_(&Blas_N,&temp_quadrature_constraint[temp_indices[temp_start_ptr+k]],&Blas_one,&temp_quadrature_constraint[temp_indices[temp_start_ptr+j]],&Blas_one_2)); 1726 } 1727 } 1728 /* compute eigenvalues and eigenvectors of correlation matrix */ 1729 ierr = PetscBLASIntCast(temp_constraints,&Blas_N);CHKERRQ(ierr); 1730 ierr = PetscBLASIntCast(temp_constraints,&Blas_LDA);CHKERRQ(ierr); 1731 #if !defined(PETSC_USE_COMPLEX) 1732 PetscStackCallBLAS("LAPACKsyev",LAPACKsyev_("V","U",&Blas_N,correlation_mat,&Blas_LDA,singular_vals,work,&lwork,&lierr)); 1733 #else 1734 PetscStackCallBLAS("LAPACKsyev",LAPACKsyev_("V","U",&Blas_N,correlation_mat,&Blas_LDA,singular_vals,work,&lwork,rwork,&lierr)); 1735 #endif 1736 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1737 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYEV Lapack routine %d",(int)lierr); 1738 /* retain eigenvalues greater than tol: note that LAPACKsyev gives eigs in ascending order */ 1739 j=0; 1740 while (j < temp_constraints && singular_vals[j] < tol) j++; 1741 total_counts=total_counts-j; 1742 valid_constraints = temp_constraints-j; 1743 /* scale and copy POD basis into used quadrature memory */ 1744 ierr = PetscBLASIntCast(size_of_constraint,&Blas_M);CHKERRQ(ierr); 1745 ierr = PetscBLASIntCast(temp_constraints,&Blas_N);CHKERRQ(ierr); 1746 ierr = PetscBLASIntCast(temp_constraints,&Blas_K);CHKERRQ(ierr); 1747 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 1748 ierr = PetscBLASIntCast(temp_constraints,&Blas_LDB);CHKERRQ(ierr); 1749 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDC);CHKERRQ(ierr); 1750 if (j<temp_constraints) { 1751 PetscInt ii; 1752 for (k=j;k<temp_constraints;k++) singular_vals[k]=1.0/PetscSqrtReal(singular_vals[k]); 1753 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1754 PetscStackCallBLAS("BLASgemm",BLASgemm_("N","N",&Blas_M,&Blas_N,&Blas_K,&one,&temp_quadrature_constraint[temp_indices[temp_start_ptr]],&Blas_LDA,correlation_mat,&Blas_LDB,&zero,temp_basis,&Blas_LDC)); 1755 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1756 for (k=0;k<temp_constraints-j;k++) { 1757 for (ii=0;ii<size_of_constraint;ii++) { 1758 temp_quadrature_constraint[temp_indices[temp_start_ptr+k]+ii]=singular_vals[temp_constraints-1-k]*temp_basis[(temp_constraints-1-k)*size_of_constraint+ii]; 1759 } 1760 } 1761 } 1762 #else /* on missing GESVD */ 1763 ierr = PetscBLASIntCast(size_of_constraint,&Blas_M);CHKERRQ(ierr); 1764 ierr = PetscBLASIntCast(temp_constraints,&Blas_N);CHKERRQ(ierr); 1765 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 1766 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1767 #if !defined(PETSC_USE_COMPLEX) 1768 PetscStackCallBLAS("LAPACKgesvd",LAPACKgesvd_("O","N",&Blas_M,&Blas_N,&temp_quadrature_constraint[temp_indices[temp_start_ptr]],&Blas_LDA,singular_vals,&dummy_scalar_1,&dummy_int_1,&dummy_scalar_2,&dummy_int_2,work,&lwork,&lierr)); 1769 #else 1770 PetscStackCallBLAS("LAPACKgesvd",LAPACKgesvd_("O","N",&Blas_M,&Blas_N,&temp_quadrature_constraint[temp_indices[temp_start_ptr]],&Blas_LDA,singular_vals,&dummy_scalar_1,&dummy_int_1,&dummy_scalar_2,&dummy_int_2,work,&lwork,rwork,&lierr)); 1771 #endif 1772 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GESVD Lapack routine %d",(int)lierr); 1773 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1774 /* retain eigenvalues greater than tol: note that LAPACKgesvd gives eigs in descending order */ 1775 k = temp_constraints; 1776 if (k > size_of_constraint) k = size_of_constraint; 1777 j = 0; 1778 while (j < k && singular_vals[k-j-1] < tol) j++; 1779 total_counts = total_counts-temp_constraints+k-j; 1780 valid_constraints = k-j; 1781 #endif /* on missing GESVD */ 1782 } 1783 /* setting change_of_basis flag is safe now */ 1784 if (boolforchange) { 1785 for (j=0;j<valid_constraints;j++) { 1786 PetscBTSet(change_basis,total_counts-j-1); 1787 } 1788 } 1789 } 1790 /* free index sets of faces, edges and vertices */ 1791 for (i=0;i<n_ISForFaces;i++) { 1792 ierr = ISDestroy(&ISForFaces[i]);CHKERRQ(ierr); 1793 } 1794 if (n_ISForFaces) { 1795 ierr = PetscFree(ISForFaces);CHKERRQ(ierr); 1796 } 1797 for (i=0;i<n_ISForEdges;i++) { 1798 ierr = ISDestroy(&ISForEdges[i]);CHKERRQ(ierr); 1799 } 1800 if (n_ISForEdges) { 1801 ierr = PetscFree(ISForEdges);CHKERRQ(ierr); 1802 } 1803 ierr = ISDestroy(&ISForVertices);CHKERRQ(ierr); 1804 /* map temp_indices_to_constraint in boundary numbering */ 1805 ierr = ISGlobalToLocalMappingApply(pcbddc->BtoNmap,IS_GTOLM_DROP,temp_indices[total_counts],temp_indices_to_constraint,&i,temp_indices_to_constraint_B);CHKERRQ(ierr); 1806 if (i != temp_indices[total_counts]) { 1807 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Error in boundary numbering for constraints indices %d != %d\n",temp_indices[total_counts],i); 1808 } 1809 1810 /* free workspace */ 1811 if (!pcbddc->use_nnsp_true && !skip_lapack) { 1812 ierr = PetscFree(work);CHKERRQ(ierr); 1813 #if defined(PETSC_USE_COMPLEX) 1814 ierr = PetscFree(rwork);CHKERRQ(ierr); 1815 #endif 1816 ierr = PetscFree(singular_vals);CHKERRQ(ierr); 1817 #if defined(PETSC_MISSING_LAPACK_GESVD) 1818 ierr = PetscFree(correlation_mat);CHKERRQ(ierr); 1819 ierr = PetscFree(temp_basis);CHKERRQ(ierr); 1820 #endif 1821 } 1822 for (k=0;k<nnsp_size;k++) { 1823 ierr = VecDestroy(&localnearnullsp[k]);CHKERRQ(ierr); 1824 } 1825 ierr = PetscFree(localnearnullsp);CHKERRQ(ierr); 1826 1827 /* set quantities in pcbddc data structure and store previous primal size */ 1828 /* n_vertices defines the number of subdomain corners in the primal space */ 1829 /* n_constraints defines the number of averages (they can be point primal dofs if change of basis is requested) */ 1830 olocal_primal_size = pcbddc->local_primal_size; 1831 pcbddc->local_primal_size = total_counts; 1832 pcbddc->n_vertices = n_vertices; 1833 pcbddc->n_constraints = pcbddc->local_primal_size-pcbddc->n_vertices; 1834 1835 /* Create constraint matrix */ 1836 /* The constraint matrix is used to compute the l2g map of primal dofs */ 1837 /* so we need to set it up properly either with or without change of basis */ 1838 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->ConstraintMatrix);CHKERRQ(ierr); 1839 ierr = MatSetType(pcbddc->ConstraintMatrix,impMatType);CHKERRQ(ierr); 1840 ierr = MatSetSizes(pcbddc->ConstraintMatrix,pcbddc->local_primal_size,pcis->n,pcbddc->local_primal_size,pcis->n);CHKERRQ(ierr); 1841 /* array to compute a local numbering of constraints : vertices first then constraints */ 1842 ierr = PetscMalloc1(pcbddc->local_primal_size,&aux_primal_numbering);CHKERRQ(ierr); 1843 /* array to select the proper local node (of minimum index with respect to global ordering) when changing the basis */ 1844 /* note: it should not be needed since IS for faces and edges are already sorted by global ordering when analyzing the graph but... just in case */ 1845 ierr = PetscMalloc1(pcbddc->local_primal_size,&aux_primal_minloc);CHKERRQ(ierr); 1846 /* auxiliary stuff for basis change */ 1847 ierr = PetscMalloc1(max_size_of_constraint,&global_indices);CHKERRQ(ierr); 1848 ierr = PetscBTCreate(pcis->n_B,&touched);CHKERRQ(ierr); 1849 1850 /* find primal_dofs: subdomain corners plus dofs selected as primal after change of basis */ 1851 total_primal_vertices=0; 1852 for (i=0;i<pcbddc->local_primal_size;i++) { 1853 size_of_constraint=temp_indices[i+1]-temp_indices[i]; 1854 if (size_of_constraint == 1) { 1855 ierr = PetscBTSet(touched,temp_indices_to_constraint_B[temp_indices[i]]);CHKERRQ(ierr); 1856 aux_primal_numbering[total_primal_vertices]=temp_indices_to_constraint[temp_indices[i]]; 1857 aux_primal_minloc[total_primal_vertices]=0; 1858 total_primal_vertices++; 1859 } else if (PetscBTLookup(change_basis,i)) { /* Same procedure used in PCBDDCGetPrimalConstraintsLocalIdx */ 1860 PetscInt min_loc,min_index; 1861 ierr = ISLocalToGlobalMappingApply(pcbddc->mat_graph->l2gmap,size_of_constraint,&temp_indices_to_constraint[temp_indices[i]],global_indices);CHKERRQ(ierr); 1862 /* find first untouched local node */ 1863 k = 0; 1864 while (PetscBTLookup(touched,temp_indices_to_constraint_B[temp_indices[i]+k])) k++; 1865 min_index = global_indices[k]; 1866 min_loc = k; 1867 /* search the minimum among global nodes already untouched on the cc */ 1868 for (k=1;k<size_of_constraint;k++) { 1869 /* there can be more than one constraint on a single connected component */ 1870 if (!PetscBTLookup(touched,temp_indices_to_constraint_B[temp_indices[i]+k]) && min_index > global_indices[k]) { 1871 min_index = global_indices[k]; 1872 min_loc = k; 1873 } 1874 } 1875 ierr = PetscBTSet(touched,temp_indices_to_constraint_B[temp_indices[i]+min_loc]);CHKERRQ(ierr); 1876 aux_primal_numbering[total_primal_vertices]=temp_indices_to_constraint[temp_indices[i]+min_loc]; 1877 aux_primal_minloc[total_primal_vertices]=min_loc; 1878 total_primal_vertices++; 1879 } 1880 } 1881 /* determine if a QR strategy is needed for change of basis */ 1882 qr_needed = PETSC_FALSE; 1883 ierr = PetscBTCreate(pcbddc->local_primal_size,&qr_needed_idx);CHKERRQ(ierr); 1884 for (i=pcbddc->n_vertices;i<pcbddc->local_primal_size;i++) { 1885 if (PetscBTLookup(change_basis,i)) { 1886 size_of_constraint = temp_indices[i+1]-temp_indices[i]; 1887 j = 0; 1888 for (k=0;k<size_of_constraint;k++) { 1889 if (PetscBTLookup(touched,temp_indices_to_constraint_B[temp_indices[i]+k])) { 1890 j++; 1891 } 1892 } 1893 /* found more than one primal dof on the cc */ 1894 if (j > 1) { 1895 PetscBTSet(qr_needed_idx,i); 1896 qr_needed = PETSC_TRUE; 1897 } 1898 } 1899 } 1900 /* free workspace */ 1901 ierr = PetscFree(global_indices);CHKERRQ(ierr); 1902 1903 /* permute indices in order to have a sorted set of vertices */ 1904 ierr = PetscSortInt(total_primal_vertices,aux_primal_numbering);CHKERRQ(ierr); 1905 1906 /* nonzero structure of constraint matrix */ 1907 ierr = PetscMalloc1(pcbddc->local_primal_size,&nnz);CHKERRQ(ierr); 1908 for (i=0;i<total_primal_vertices;i++) nnz[i]=1; 1909 j=total_primal_vertices; 1910 for (i=pcbddc->n_vertices;i<pcbddc->local_primal_size;i++) { 1911 if (!PetscBTLookup(change_basis,i)) { 1912 nnz[j]=temp_indices[i+1]-temp_indices[i]; 1913 j++; 1914 } 1915 } 1916 ierr = MatSeqAIJSetPreallocation(pcbddc->ConstraintMatrix,0,nnz);CHKERRQ(ierr); 1917 ierr = PetscFree(nnz);CHKERRQ(ierr); 1918 /* set values in constraint matrix */ 1919 for (i=0;i<total_primal_vertices;i++) { 1920 ierr = MatSetValue(pcbddc->ConstraintMatrix,i,aux_primal_numbering[i],1.0,INSERT_VALUES);CHKERRQ(ierr); 1921 } 1922 total_counts = total_primal_vertices; 1923 for (i=pcbddc->n_vertices;i<pcbddc->local_primal_size;i++) { 1924 if (!PetscBTLookup(change_basis,i)) { 1925 size_of_constraint=temp_indices[i+1]-temp_indices[i]; 1926 ierr = MatSetValues(pcbddc->ConstraintMatrix,1,&total_counts,size_of_constraint,&temp_indices_to_constraint[temp_indices[i]],&temp_quadrature_constraint[temp_indices[i]],INSERT_VALUES);CHKERRQ(ierr); 1927 total_counts++; 1928 } 1929 } 1930 /* assembling */ 1931 ierr = MatAssemblyBegin(pcbddc->ConstraintMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1932 ierr = MatAssemblyEnd(pcbddc->ConstraintMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1933 /* 1934 ierr = PetscViewerSetFormat(PETSC_VIEWER_STDOUT_SELF,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 1935 ierr = MatView(pcbddc->ConstraintMatrix,(PetscViewer)0);CHKERRQ(ierr); 1936 */ 1937 /* Create matrix for change of basis. We don't need it in case pcbddc->use_change_of_basis is FALSE */ 1938 if (pcbddc->use_change_of_basis) { 1939 /* dual and primal dofs on a single cc */ 1940 PetscInt dual_dofs,primal_dofs; 1941 /* iterator on aux_primal_minloc (ordered as read from nearnullspace: vertices, edges and then constraints) */ 1942 PetscInt primal_counter; 1943 /* working stuff for GEQRF */ 1944 PetscScalar *qr_basis,*qr_tau = NULL,*qr_work,lqr_work_t; 1945 PetscBLASInt lqr_work; 1946 /* working stuff for UNGQR */ 1947 PetscScalar *gqr_work,lgqr_work_t; 1948 PetscBLASInt lgqr_work; 1949 /* working stuff for TRTRS */ 1950 PetscScalar *trs_rhs; 1951 PetscBLASInt Blas_NRHS; 1952 /* pointers for values insertion into change of basis matrix */ 1953 PetscInt *start_rows,*start_cols; 1954 PetscScalar *start_vals; 1955 /* working stuff for values insertion */ 1956 PetscBT is_primal; 1957 /* matrix sizes */ 1958 PetscInt global_size,local_size; 1959 /* work array for nonzeros */ 1960 PetscScalar *nnz_array; 1961 /* temporary change of basis */ 1962 Mat localChangeOfBasisMatrix; 1963 /* auxiliary work for global change of basis */ 1964 Vec nnz_vec; 1965 PetscInt *idxs_I,*idxs_B,*idxs_all; 1966 PetscInt nvtxs,*xadj,*adjncy,*idxs_mapped; 1967 PetscScalar *vals; 1968 PetscBool done; 1969 1970 /* local temporary change of basis acts on local interfaces -> dimension is n_B x n_B */ 1971 ierr = MatCreate(PETSC_COMM_SELF,&localChangeOfBasisMatrix);CHKERRQ(ierr); 1972 ierr = MatSetType(localChangeOfBasisMatrix,impMatType);CHKERRQ(ierr); 1973 ierr = MatSetSizes(localChangeOfBasisMatrix,pcis->n_B,pcis->n_B,pcis->n_B,pcis->n_B);CHKERRQ(ierr); 1974 1975 /* nonzeros for local mat */ 1976 ierr = PetscMalloc1(pcis->n_B,&nnz);CHKERRQ(ierr); 1977 for (i=0;i<pcis->n_B;i++) nnz[i]=1; 1978 for (i=pcbddc->n_vertices;i<pcbddc->local_primal_size;i++) { 1979 if (PetscBTLookup(change_basis,i)) { 1980 size_of_constraint = temp_indices[i+1]-temp_indices[i]; 1981 if (PetscBTLookup(qr_needed_idx,i)) { 1982 for (j=0;j<size_of_constraint;j++) nnz[temp_indices_to_constraint_B[temp_indices[i]+j]] = size_of_constraint; 1983 } else { 1984 for (j=0;j<size_of_constraint;j++) nnz[temp_indices_to_constraint_B[temp_indices[i]+j]] = 2; 1985 /* get local primal index on the cc */ 1986 j = 0; 1987 while (!PetscBTLookup(touched,temp_indices_to_constraint_B[temp_indices[i]+j])) j++; 1988 nnz[temp_indices_to_constraint_B[temp_indices[i]+j]] = size_of_constraint; 1989 } 1990 } 1991 } 1992 ierr = MatSeqAIJSetPreallocation(localChangeOfBasisMatrix,0,nnz);CHKERRQ(ierr); 1993 /* Set initial identity in the matrix */ 1994 for (i=0;i<pcis->n_B;i++) { 1995 ierr = MatSetValue(localChangeOfBasisMatrix,i,i,1.0,INSERT_VALUES);CHKERRQ(ierr); 1996 } 1997 1998 if (pcbddc->dbg_flag) { 1999 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"--------------------------------------------------------------\n");CHKERRQ(ierr); 2000 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Checking change of basis computation for subdomain %04d\n",PetscGlobalRank);CHKERRQ(ierr); 2001 } 2002 2003 2004 /* Now we loop on the constraints which need a change of basis */ 2005 /* 2006 Change of basis matrix is evaluated similarly to the FIRST APPROACH in 2007 Klawonn and Widlund, Dual-primal FETI-DP methods for linear elasticity, (see Sect 6.2.1) 2008 2009 Basic blocks of change of basis matrix T computed 2010 2011 - Using the following block transformation if there is only a primal dof on the cc 2012 (in the example, primal dof is the last one of the edge in LOCAL ordering 2013 in this code, primal dof is the first one of the edge in GLOBAL ordering) 2014 | 1 0 ... 0 1 | 2015 | 0 1 ... 0 1 | 2016 | ... | 2017 | 0 ... 1 1 | 2018 | -s_1/s_n ... -s_{n-1}/-s_n 1 | 2019 2020 - via QR decomposition of constraints otherwise 2021 */ 2022 if (qr_needed) { 2023 /* space to store Q */ 2024 ierr = PetscMalloc1((max_size_of_constraint)*(max_size_of_constraint),&qr_basis);CHKERRQ(ierr); 2025 /* first we issue queries for optimal work */ 2026 ierr = PetscBLASIntCast(max_size_of_constraint,&Blas_M);CHKERRQ(ierr); 2027 ierr = PetscBLASIntCast(max_constraints,&Blas_N);CHKERRQ(ierr); 2028 ierr = PetscBLASIntCast(max_size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2029 lqr_work = -1; 2030 PetscStackCallBLAS("LAPACKgeqrf",LAPACKgeqrf_(&Blas_M,&Blas_N,qr_basis,&Blas_LDA,qr_tau,&lqr_work_t,&lqr_work,&lierr)); 2031 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GEQRF Lapack routine %d",(int)lierr); 2032 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lqr_work_t),&lqr_work);CHKERRQ(ierr); 2033 ierr = PetscMalloc1((PetscInt)PetscRealPart(lqr_work_t),&qr_work);CHKERRQ(ierr); 2034 lgqr_work = -1; 2035 ierr = PetscBLASIntCast(max_size_of_constraint,&Blas_M);CHKERRQ(ierr); 2036 ierr = PetscBLASIntCast(max_size_of_constraint,&Blas_N);CHKERRQ(ierr); 2037 ierr = PetscBLASIntCast(max_constraints,&Blas_K);CHKERRQ(ierr); 2038 ierr = PetscBLASIntCast(max_size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2039 if (Blas_K>Blas_M) Blas_K=Blas_M; /* adjust just for computing optimal work */ 2040 PetscStackCallBLAS("LAPACKungqr",LAPACKungqr_(&Blas_M,&Blas_N,&Blas_K,qr_basis,&Blas_LDA,qr_tau,&lgqr_work_t,&lgqr_work,&lierr)); 2041 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to UNGQR Lapack routine %d",(int)lierr); 2042 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lgqr_work_t),&lgqr_work);CHKERRQ(ierr); 2043 ierr = PetscMalloc1((PetscInt)PetscRealPart(lgqr_work_t),&gqr_work);CHKERRQ(ierr); 2044 /* array to store scaling factors for reflectors */ 2045 ierr = PetscMalloc1(max_constraints,&qr_tau);CHKERRQ(ierr); 2046 /* array to store rhs and solution of triangular solver */ 2047 ierr = PetscMalloc1(max_constraints*max_constraints,&trs_rhs);CHKERRQ(ierr); 2048 /* allocating workspace for check */ 2049 if (pcbddc->dbg_flag) { 2050 ierr = PetscMalloc1(max_size_of_constraint*(max_constraints+max_size_of_constraint),&work);CHKERRQ(ierr); 2051 } 2052 } 2053 /* array to store whether a node is primal or not */ 2054 ierr = PetscBTCreate(pcis->n_B,&is_primal);CHKERRQ(ierr); 2055 ierr = PetscMalloc1(total_primal_vertices,&aux_primal_numbering_B);CHKERRQ(ierr); 2056 ierr = ISGlobalToLocalMappingApply(pcbddc->BtoNmap,IS_GTOLM_DROP,total_primal_vertices,aux_primal_numbering,&i,aux_primal_numbering_B);CHKERRQ(ierr); 2057 if (i != total_primal_vertices) { 2058 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Error in boundary numbering for BDDC vertices! %d != %d\n",total_primal_vertices,i); 2059 } 2060 for (i=0;i<total_primal_vertices;i++) { 2061 ierr = PetscBTSet(is_primal,aux_primal_numbering_B[i]);CHKERRQ(ierr); 2062 } 2063 ierr = PetscFree(aux_primal_numbering_B);CHKERRQ(ierr); 2064 2065 /* loop on constraints and see whether or not they need a change of basis and compute it */ 2066 /* -> using implicit ordering contained in temp_indices data */ 2067 total_counts = pcbddc->n_vertices; 2068 primal_counter = total_counts; 2069 while (total_counts<pcbddc->local_primal_size) { 2070 primal_dofs = 1; 2071 if (PetscBTLookup(change_basis,total_counts)) { 2072 /* get all constraints with same support: if more then one constraint is present on the cc then surely indices are stored contiguosly */ 2073 while (total_counts+primal_dofs < pcbddc->local_primal_size && temp_indices_to_constraint_B[temp_indices[total_counts]] == temp_indices_to_constraint_B[temp_indices[total_counts+primal_dofs]]) { 2074 primal_dofs++; 2075 } 2076 /* get constraint info */ 2077 size_of_constraint = temp_indices[total_counts+1]-temp_indices[total_counts]; 2078 dual_dofs = size_of_constraint-primal_dofs; 2079 2080 if (pcbddc->dbg_flag) { 2081 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Constraints %d to %d (incl) need a change of basis (size %d)\n",total_counts,total_counts+primal_dofs-1,size_of_constraint);CHKERRQ(ierr); 2082 } 2083 2084 if (primal_dofs > 1) { /* QR */ 2085 2086 /* copy quadrature constraints for change of basis check */ 2087 if (pcbddc->dbg_flag) { 2088 ierr = PetscMemcpy(work,&temp_quadrature_constraint[temp_indices[total_counts]],size_of_constraint*primal_dofs*sizeof(PetscScalar));CHKERRQ(ierr); 2089 } 2090 /* copy temporary constraints into larger work vector (in order to store all columns of Q) */ 2091 ierr = PetscMemcpy(qr_basis,&temp_quadrature_constraint[temp_indices[total_counts]],size_of_constraint*primal_dofs*sizeof(PetscScalar));CHKERRQ(ierr); 2092 2093 /* compute QR decomposition of constraints */ 2094 ierr = PetscBLASIntCast(size_of_constraint,&Blas_M);CHKERRQ(ierr); 2095 ierr = PetscBLASIntCast(primal_dofs,&Blas_N);CHKERRQ(ierr); 2096 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2097 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 2098 PetscStackCallBLAS("LAPACKgeqrf",LAPACKgeqrf_(&Blas_M,&Blas_N,qr_basis,&Blas_LDA,qr_tau,qr_work,&lqr_work,&lierr)); 2099 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GEQRF Lapack routine %d",(int)lierr); 2100 ierr = PetscFPTrapPop();CHKERRQ(ierr); 2101 2102 /* explictly compute R^-T */ 2103 ierr = PetscMemzero(trs_rhs,primal_dofs*primal_dofs*sizeof(*trs_rhs));CHKERRQ(ierr); 2104 for (j=0;j<primal_dofs;j++) trs_rhs[j*(primal_dofs+1)] = 1.0; 2105 ierr = PetscBLASIntCast(primal_dofs,&Blas_N);CHKERRQ(ierr); 2106 ierr = PetscBLASIntCast(primal_dofs,&Blas_NRHS);CHKERRQ(ierr); 2107 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2108 ierr = PetscBLASIntCast(primal_dofs,&Blas_LDB);CHKERRQ(ierr); 2109 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 2110 PetscStackCallBLAS("LAPACKtrtrs",LAPACKtrtrs_("U","T","N",&Blas_N,&Blas_NRHS,qr_basis,&Blas_LDA,trs_rhs,&Blas_LDB,&lierr)); 2111 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in TRTRS Lapack routine %d",(int)lierr); 2112 ierr = PetscFPTrapPop();CHKERRQ(ierr); 2113 2114 /* explicitly compute all columns of Q (Q = [Q1 | Q2] ) overwriting QR factorization in qr_basis */ 2115 ierr = PetscBLASIntCast(size_of_constraint,&Blas_M);CHKERRQ(ierr); 2116 ierr = PetscBLASIntCast(size_of_constraint,&Blas_N);CHKERRQ(ierr); 2117 ierr = PetscBLASIntCast(primal_dofs,&Blas_K);CHKERRQ(ierr); 2118 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2119 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 2120 PetscStackCallBLAS("LAPACKungqr",LAPACKungqr_(&Blas_M,&Blas_N,&Blas_K,qr_basis,&Blas_LDA,qr_tau,gqr_work,&lgqr_work,&lierr)); 2121 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in UNGQR Lapack routine %d",(int)lierr); 2122 ierr = PetscFPTrapPop();CHKERRQ(ierr); 2123 2124 /* first primal_dofs columns of Q need to be re-scaled in order to be unitary w.r.t constraints 2125 i.e. C_{pxn}*Q_{nxn} should be equal to [I_pxp | 0_pxd] (see check below) 2126 where n=size_of_constraint, p=primal_dofs, d=dual_dofs (n=p+d), I and 0 identity and null matrix resp. */ 2127 ierr = PetscBLASIntCast(size_of_constraint,&Blas_M);CHKERRQ(ierr); 2128 ierr = PetscBLASIntCast(primal_dofs,&Blas_N);CHKERRQ(ierr); 2129 ierr = PetscBLASIntCast(primal_dofs,&Blas_K);CHKERRQ(ierr); 2130 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2131 ierr = PetscBLASIntCast(primal_dofs,&Blas_LDB);CHKERRQ(ierr); 2132 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDC);CHKERRQ(ierr); 2133 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 2134 PetscStackCallBLAS("BLASgemm",BLASgemm_("N","N",&Blas_M,&Blas_N,&Blas_K,&one,qr_basis,&Blas_LDA,trs_rhs,&Blas_LDB,&zero,&temp_quadrature_constraint[temp_indices[total_counts]],&Blas_LDC)); 2135 ierr = PetscFPTrapPop();CHKERRQ(ierr); 2136 ierr = PetscMemcpy(qr_basis,&temp_quadrature_constraint[temp_indices[total_counts]],size_of_constraint*primal_dofs*sizeof(PetscScalar));CHKERRQ(ierr); 2137 2138 /* insert values in change of basis matrix respecting global ordering of new primal dofs */ 2139 start_rows = &temp_indices_to_constraint_B[temp_indices[total_counts]]; 2140 /* insert cols for primal dofs */ 2141 for (j=0;j<primal_dofs;j++) { 2142 start_vals = &qr_basis[j*size_of_constraint]; 2143 start_cols = &temp_indices_to_constraint_B[temp_indices[total_counts]+aux_primal_minloc[primal_counter+j]]; 2144 ierr = MatSetValues(localChangeOfBasisMatrix,size_of_constraint,start_rows,1,start_cols,start_vals,INSERT_VALUES);CHKERRQ(ierr); 2145 } 2146 /* insert cols for dual dofs */ 2147 for (j=0,k=0;j<dual_dofs;k++) { 2148 if (!PetscBTLookup(is_primal,temp_indices_to_constraint_B[temp_indices[total_counts]+k])) { 2149 start_vals = &qr_basis[(primal_dofs+j)*size_of_constraint]; 2150 start_cols = &temp_indices_to_constraint_B[temp_indices[total_counts]+k]; 2151 ierr = MatSetValues(localChangeOfBasisMatrix,size_of_constraint,start_rows,1,start_cols,start_vals,INSERT_VALUES);CHKERRQ(ierr); 2152 j++; 2153 } 2154 } 2155 2156 /* check change of basis */ 2157 if (pcbddc->dbg_flag) { 2158 PetscInt ii,jj; 2159 PetscBool valid_qr=PETSC_TRUE; 2160 ierr = PetscBLASIntCast(primal_dofs,&Blas_M);CHKERRQ(ierr); 2161 ierr = PetscBLASIntCast(size_of_constraint,&Blas_N);CHKERRQ(ierr); 2162 ierr = PetscBLASIntCast(size_of_constraint,&Blas_K);CHKERRQ(ierr); 2163 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2164 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDB);CHKERRQ(ierr); 2165 ierr = PetscBLASIntCast(primal_dofs,&Blas_LDC);CHKERRQ(ierr); 2166 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 2167 PetscStackCallBLAS("BLASgemm",BLASgemm_("T","N",&Blas_M,&Blas_N,&Blas_K,&one,work,&Blas_LDA,qr_basis,&Blas_LDB,&zero,&work[size_of_constraint*primal_dofs],&Blas_LDC)); 2168 ierr = PetscFPTrapPop();CHKERRQ(ierr); 2169 for (jj=0;jj<size_of_constraint;jj++) { 2170 for (ii=0;ii<primal_dofs;ii++) { 2171 if (ii != jj && PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii]) > 1.e-12) valid_qr = PETSC_FALSE; 2172 if (ii == jj && PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii]-1.0) > 1.e-12) valid_qr = PETSC_FALSE; 2173 } 2174 } 2175 if (!valid_qr) { 2176 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"\t-> wrong change of basis!\n");CHKERRQ(ierr); 2177 for (jj=0;jj<size_of_constraint;jj++) { 2178 for (ii=0;ii<primal_dofs;ii++) { 2179 if (ii != jj && PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii]) > 1.e-12) { 2180 PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"\tQr basis function %d is not orthogonal to constraint %d (%1.14e)!\n",jj,ii,PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii])); 2181 } 2182 if (ii == jj && PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii]-1.0) > 1.e-12) { 2183 PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"\tQr basis function %d is not unitary w.r.t constraint %d (%1.14e)!\n",jj,ii,PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii])); 2184 } 2185 } 2186 } 2187 } else { 2188 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"\t-> right change of basis!\n");CHKERRQ(ierr); 2189 } 2190 } 2191 } else { /* simple transformation block */ 2192 PetscInt row,col; 2193 PetscScalar val; 2194 for (j=0;j<size_of_constraint;j++) { 2195 row = temp_indices_to_constraint_B[temp_indices[total_counts]+j]; 2196 if (!PetscBTLookup(is_primal,row)) { 2197 col = temp_indices_to_constraint_B[temp_indices[total_counts]+aux_primal_minloc[primal_counter]]; 2198 ierr = MatSetValue(localChangeOfBasisMatrix,row,row,1.0,INSERT_VALUES);CHKERRQ(ierr); 2199 ierr = MatSetValue(localChangeOfBasisMatrix,row,col,1.0,INSERT_VALUES);CHKERRQ(ierr); 2200 } else { 2201 for (k=0;k<size_of_constraint;k++) { 2202 col = temp_indices_to_constraint_B[temp_indices[total_counts]+k]; 2203 if (row != col) { 2204 val = -temp_quadrature_constraint[temp_indices[total_counts]+k]/temp_quadrature_constraint[temp_indices[total_counts]+aux_primal_minloc[primal_counter]]; 2205 } else { 2206 val = 1.0; 2207 } 2208 ierr = MatSetValue(localChangeOfBasisMatrix,row,col,val,INSERT_VALUES);CHKERRQ(ierr); 2209 } 2210 } 2211 } 2212 if (pcbddc->dbg_flag) { 2213 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"\t-> using standard change of basis\n");CHKERRQ(ierr); 2214 } 2215 } 2216 /* increment primal counter */ 2217 primal_counter += primal_dofs; 2218 } else { 2219 if (pcbddc->dbg_flag) { 2220 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Constraint %d does not need a change of basis (size %d)\n",total_counts,temp_indices[total_counts+1]-temp_indices[total_counts]);CHKERRQ(ierr); 2221 } 2222 } 2223 /* increment constraint counter total_counts */ 2224 total_counts += primal_dofs; 2225 } 2226 2227 /* free workspace */ 2228 if (qr_needed) { 2229 if (pcbddc->dbg_flag) { 2230 ierr = PetscFree(work);CHKERRQ(ierr); 2231 } 2232 ierr = PetscFree(trs_rhs);CHKERRQ(ierr); 2233 ierr = PetscFree(qr_tau);CHKERRQ(ierr); 2234 ierr = PetscFree(qr_work);CHKERRQ(ierr); 2235 ierr = PetscFree(gqr_work);CHKERRQ(ierr); 2236 ierr = PetscFree(qr_basis);CHKERRQ(ierr); 2237 } 2238 ierr = PetscBTDestroy(&is_primal);CHKERRQ(ierr); 2239 ierr = MatAssemblyBegin(localChangeOfBasisMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2240 ierr = MatAssemblyEnd(localChangeOfBasisMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2241 2242 /* assembling of global change of variable */ 2243 ierr = MatCreate(PetscObjectComm((PetscObject)pc),&pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr); 2244 ierr = MatSetType(pcbddc->ChangeOfBasisMatrix,MATAIJ);CHKERRQ(ierr); 2245 ierr = VecGetSize(pcis->vec1_global,&global_size);CHKERRQ(ierr); 2246 ierr = VecGetLocalSize(pcis->vec1_global,&local_size);CHKERRQ(ierr); 2247 ierr = MatSetSizes(pcbddc->ChangeOfBasisMatrix,local_size,local_size,global_size,global_size);CHKERRQ(ierr); 2248 ierr = MatSetLocalToGlobalMapping(pcbddc->ChangeOfBasisMatrix,matis->mapping,matis->mapping);CHKERRQ(ierr); 2249 2250 /* nonzeros (overestimated) */ 2251 ierr = VecDuplicate(pcis->vec1_global,&nnz_vec);CHKERRQ(ierr); 2252 ierr = VecSetLocalToGlobalMapping(nnz_vec,matis->mapping);CHKERRQ(ierr); 2253 ierr = PetscMalloc2(pcis->n,&nnz_array,pcis->n,&idxs_all);CHKERRQ(ierr); 2254 for (i=0;i<pcis->n;i++) { 2255 nnz_array[i] = 1.0; 2256 idxs_all[i] = i; 2257 } 2258 ierr = ISGetIndices(pcis->is_B_local,(const PetscInt**)&idxs_B);CHKERRQ(ierr); 2259 for (i=0;i<pcis->n_B;i++) { 2260 nnz_array[idxs_B[i]] = nnz[i]; 2261 } 2262 if (pcis->n) { 2263 ierr = VecSetValuesLocal(nnz_vec,pcis->n,idxs_all,nnz_array,INSERT_VALUES);CHKERRQ(ierr); 2264 } 2265 ierr = VecAssemblyBegin(nnz_vec);CHKERRQ(ierr); 2266 ierr = VecAssemblyEnd(nnz_vec);CHKERRQ(ierr); 2267 ierr = PetscFree(nnz);CHKERRQ(ierr); 2268 ierr = PetscFree2(nnz_array,idxs_all);CHKERRQ(ierr); 2269 ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr); 2270 ierr = VecGetArray(nnz_vec,&nnz_array);CHKERRQ(ierr); 2271 for (i=0;i<local_size;i++) { 2272 nnz[i] = (PetscInt)(PetscRealPart(nnz_array[i])); 2273 } 2274 ierr = VecRestoreArray(nnz_vec,&nnz_array);CHKERRQ(ierr); 2275 ierr = VecDestroy(&nnz_vec);CHKERRQ(ierr); 2276 ierr = MatMPIAIJSetPreallocation(pcbddc->ChangeOfBasisMatrix,0,nnz,0,nnz);CHKERRQ(ierr); 2277 ierr = PetscFree(nnz);CHKERRQ(ierr); 2278 2279 /* Set identity on dirichlet dofs */ 2280 ierr = ISGetIndices(pcis->is_I_local,(const PetscInt**)&idxs_I);CHKERRQ(ierr); 2281 for (i=0;i<pcis->n-pcis->n_B;i++) { 2282 PetscScalar one=1.0; 2283 ierr = MatSetValuesLocal(pcbddc->ChangeOfBasisMatrix,1,idxs_I+i,1,idxs_I+i,&one,INSERT_VALUES);CHKERRQ(ierr); 2284 } 2285 ierr = ISRestoreIndices(pcis->is_I_local,(const PetscInt**)&idxs_I);CHKERRQ(ierr); 2286 2287 /* Set values at interface dofs */ 2288 done = PETSC_TRUE; 2289 ierr = MatGetRowIJ(localChangeOfBasisMatrix,0,PETSC_FALSE,PETSC_FALSE,&nvtxs,(const PetscInt**)&xadj,(const PetscInt**)&adjncy,&done);CHKERRQ(ierr); 2290 if (!done) { 2291 SETERRQ1(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"Error in MatGetRowIJ called in %s\n",__FUNCT__); 2292 } 2293 ierr = MatSeqAIJGetArray(localChangeOfBasisMatrix,&vals);CHKERRQ(ierr); 2294 ierr = PetscMalloc1(xadj[nvtxs],&idxs_mapped);CHKERRQ(ierr); 2295 ierr = ISLocalToGlobalMappingApply(pcbddc->BtoNmap,xadj[nvtxs],adjncy,idxs_mapped);CHKERRQ(ierr); 2296 for (i=0;i<nvtxs;i++) { 2297 PetscInt row,*cols,ncols; 2298 PetscScalar *mat_vals; 2299 2300 row = idxs_B[i]; 2301 ncols = xadj[i+1]-xadj[i]; 2302 cols = idxs_mapped+xadj[i]; 2303 mat_vals = vals+xadj[i]; 2304 ierr = MatSetValuesLocal(pcbddc->ChangeOfBasisMatrix,1,&row,ncols,cols,mat_vals,INSERT_VALUES);CHKERRQ(ierr); 2305 } 2306 ierr = MatRestoreRowIJ(localChangeOfBasisMatrix,0,PETSC_FALSE,PETSC_FALSE,&nvtxs,(const PetscInt**)&xadj,(const PetscInt**)&adjncy,&done);CHKERRQ(ierr); 2307 if (!done) { 2308 SETERRQ1(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"Error in MatRestoreRowIJ called in %s\n",__FUNCT__); 2309 } 2310 ierr = MatSeqAIJRestoreArray(localChangeOfBasisMatrix,&vals);CHKERRQ(ierr); 2311 ierr = ISRestoreIndices(pcis->is_B_local,(const PetscInt**)&idxs_B);CHKERRQ(ierr); 2312 ierr = PetscFree(idxs_mapped);CHKERRQ(ierr); 2313 ierr = MatAssemblyBegin(pcbddc->ChangeOfBasisMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2314 ierr = MatAssemblyEnd(pcbddc->ChangeOfBasisMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2315 2316 /* check */ 2317 if (pcbddc->dbg_flag) { 2318 PetscReal error; 2319 Vec x,x_change; 2320 2321 ierr = VecDuplicate(pcis->vec1_global,&x);CHKERRQ(ierr); 2322 ierr = VecDuplicate(pcis->vec1_global,&x_change);CHKERRQ(ierr); 2323 ierr = VecSetRandom(x,NULL);CHKERRQ(ierr); 2324 ierr = VecCopy(x,pcis->vec1_global);CHKERRQ(ierr); 2325 ierr = VecScatterBegin(pcis->global_to_B,x,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2326 ierr = VecScatterEnd(pcis->global_to_B,x,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2327 ierr = MatMult(localChangeOfBasisMatrix,pcis->vec1_B,pcis->vec2_B);CHKERRQ(ierr); 2328 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec2_B,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2329 ierr = VecScatterEnd(pcis->global_to_B,pcis->vec2_B,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2330 ierr = MatMult(pcbddc->ChangeOfBasisMatrix,pcis->vec1_global,x_change);CHKERRQ(ierr); 2331 ierr = VecAXPY(x,-1.0,x_change);CHKERRQ(ierr); 2332 ierr = VecNorm(x,NORM_INFINITY,&error);CHKERRQ(ierr); 2333 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 2334 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Error global vs local change on B: %1.6e\n",error);CHKERRQ(ierr); 2335 ierr = VecDestroy(&x);CHKERRQ(ierr); 2336 ierr = VecDestroy(&x_change);CHKERRQ(ierr); 2337 } 2338 ierr = MatDestroy(&localChangeOfBasisMatrix);CHKERRQ(ierr); 2339 2340 /* 2341 ierr = PetscViewerSetFormat(PETSC_VIEWER_STDOUT_SELF,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 2342 ierr = MatView(local_ChangeOfBasisMatrix,(PetscViewer)0);CHKERRQ(ierr); 2343 */ 2344 } else if (pcbddc->user_ChangeOfBasisMatrix) { 2345 ierr = PetscObjectReference((PetscObject)pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr); 2346 pcbddc->ChangeOfBasisMatrix = pcbddc->user_ChangeOfBasisMatrix; 2347 } 2348 2349 /* set up change of basis context */ 2350 if (pcbddc->ChangeOfBasisMatrix) { 2351 PCBDDCChange_ctx change_ctx; 2352 2353 if (!pcbddc->new_global_mat) { 2354 PetscInt global_size,local_size; 2355 2356 ierr = VecGetSize(pcis->vec1_global,&global_size);CHKERRQ(ierr); 2357 ierr = VecGetLocalSize(pcis->vec1_global,&local_size);CHKERRQ(ierr); 2358 ierr = MatCreate(PetscObjectComm((PetscObject)pc),&pcbddc->new_global_mat);CHKERRQ(ierr); 2359 ierr = MatSetSizes(pcbddc->new_global_mat,local_size,local_size,global_size,global_size);CHKERRQ(ierr); 2360 ierr = MatSetType(pcbddc->new_global_mat,MATSHELL);CHKERRQ(ierr); 2361 ierr = MatShellSetOperation(pcbddc->new_global_mat,MATOP_MULT,(void (*)(void))PCBDDCMatMult_Private);CHKERRQ(ierr); 2362 ierr = MatShellSetOperation(pcbddc->new_global_mat,MATOP_MULT_TRANSPOSE,(void (*)(void))PCBDDCMatMultTranspose_Private);CHKERRQ(ierr); 2363 ierr = PetscNew(&change_ctx);CHKERRQ(ierr); 2364 ierr = MatShellSetContext(pcbddc->new_global_mat,change_ctx);CHKERRQ(ierr); 2365 } else { 2366 ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr); 2367 ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr); 2368 ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr); 2369 } 2370 if (!pcbddc->user_ChangeOfBasisMatrix) { 2371 ierr = PetscObjectReference((PetscObject)pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr); 2372 change_ctx->global_change = pcbddc->ChangeOfBasisMatrix; 2373 } else { 2374 ierr = PetscObjectReference((PetscObject)pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr); 2375 change_ctx->global_change = pcbddc->user_ChangeOfBasisMatrix; 2376 } 2377 ierr = VecDuplicateVecs(pcis->vec1_global,2,&change_ctx->work);CHKERRQ(ierr); 2378 ierr = MatSetUp(pcbddc->new_global_mat);CHKERRQ(ierr); 2379 ierr = MatAssemblyBegin(pcbddc->new_global_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2380 ierr = MatAssemblyEnd(pcbddc->new_global_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2381 } 2382 2383 /* get indices in local ordering for vertices and constraints */ 2384 if (olocal_primal_size == pcbddc->local_primal_size) { /* if this is true, I need to check if a new primal space has been introduced */ 2385 ierr = PetscMalloc1(olocal_primal_size,&oprimal_indices_local_idxs);CHKERRQ(ierr); 2386 ierr = PetscMemcpy(oprimal_indices_local_idxs,pcbddc->primal_indices_local_idxs,olocal_primal_size*sizeof(PetscInt));CHKERRQ(ierr); 2387 } 2388 ierr = PetscFree(aux_primal_numbering);CHKERRQ(ierr); 2389 ierr = PetscFree(pcbddc->primal_indices_local_idxs);CHKERRQ(ierr); 2390 ierr = PetscMalloc1(pcbddc->local_primal_size,&pcbddc->primal_indices_local_idxs);CHKERRQ(ierr); 2391 ierr = PCBDDCGetPrimalVerticesLocalIdx(pc,&i,&aux_primal_numbering);CHKERRQ(ierr); 2392 ierr = PetscMemcpy(pcbddc->primal_indices_local_idxs,aux_primal_numbering,i*sizeof(PetscInt));CHKERRQ(ierr); 2393 ierr = PetscFree(aux_primal_numbering);CHKERRQ(ierr); 2394 ierr = PCBDDCGetPrimalConstraintsLocalIdx(pc,&j,&aux_primal_numbering);CHKERRQ(ierr); 2395 ierr = PetscMemcpy(&pcbddc->primal_indices_local_idxs[i],aux_primal_numbering,j*sizeof(PetscInt));CHKERRQ(ierr); 2396 ierr = PetscFree(aux_primal_numbering);CHKERRQ(ierr); 2397 /* set quantities in PCBDDC data struct */ 2398 pcbddc->n_actual_vertices = i; 2399 /* check if a new primal space has been introduced */ 2400 pcbddc->new_primal_space_local = PETSC_TRUE; 2401 if (olocal_primal_size == pcbddc->local_primal_size) { 2402 ierr = PetscMemcmp(pcbddc->primal_indices_local_idxs,oprimal_indices_local_idxs,olocal_primal_size,&pcbddc->new_primal_space_local);CHKERRQ(ierr); 2403 pcbddc->new_primal_space_local = (PetscBool)(!pcbddc->new_primal_space_local); 2404 ierr = PetscFree(oprimal_indices_local_idxs);CHKERRQ(ierr); 2405 } 2406 /* new_primal_space will be used for numbering of coarse dofs, so it should be the same across all subdomains */ 2407 ierr = MPI_Allreduce(&pcbddc->new_primal_space_local,&pcbddc->new_primal_space,1,MPIU_BOOL,MPI_LOR,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 2408 2409 /* flush dbg viewer */ 2410 if (pcbddc->dbg_flag) { 2411 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 2412 } 2413 2414 /* free workspace */ 2415 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 2416 ierr = PetscBTDestroy(&qr_needed_idx);CHKERRQ(ierr); 2417 ierr = PetscFree(aux_primal_minloc);CHKERRQ(ierr); 2418 ierr = PetscBTDestroy(&change_basis);CHKERRQ(ierr); 2419 ierr = PetscFree(temp_indices);CHKERRQ(ierr); 2420 ierr = PetscFree3(temp_quadrature_constraint,temp_indices_to_constraint,temp_indices_to_constraint_B);CHKERRQ(ierr); 2421 PetscFunctionReturn(0); 2422 } 2423 2424 #undef __FUNCT__ 2425 #define __FUNCT__ "PCBDDCAnalyzeInterface" 2426 PetscErrorCode PCBDDCAnalyzeInterface(PC pc) 2427 { 2428 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 2429 PC_IS *pcis = (PC_IS*)pc->data; 2430 Mat_IS *matis = (Mat_IS*)pc->pmat->data; 2431 PetscInt ierr,i,vertex_size; 2432 PetscViewer viewer=pcbddc->dbg_viewer; 2433 2434 PetscFunctionBegin; 2435 /* Reset previously computed graph */ 2436 ierr = PCBDDCGraphReset(pcbddc->mat_graph);CHKERRQ(ierr); 2437 /* Init local Graph struct */ 2438 ierr = PCBDDCGraphInit(pcbddc->mat_graph,matis->mapping);CHKERRQ(ierr); 2439 2440 /* Check validity of the csr graph passed in by the user */ 2441 if (pcbddc->mat_graph->nvtxs_csr != pcbddc->mat_graph->nvtxs) { 2442 ierr = PCBDDCGraphResetCSR(pcbddc->mat_graph);CHKERRQ(ierr); 2443 } 2444 2445 /* Set default CSR adjacency of local dofs if not provided by the user with PCBDDCSetLocalAdjacencyGraph */ 2446 if (pcbddc->use_local_adj && (!pcbddc->mat_graph->xadj || !pcbddc->mat_graph->adjncy)) { 2447 Mat mat_adj; 2448 const PetscInt *xadj,*adjncy; 2449 PetscBool flg_row=PETSC_TRUE; 2450 2451 ierr = MatConvert(matis->A,MATMPIADJ,MAT_INITIAL_MATRIX,&mat_adj);CHKERRQ(ierr); 2452 ierr = MatGetRowIJ(mat_adj,0,PETSC_TRUE,PETSC_FALSE,&i,&xadj,&adjncy,&flg_row);CHKERRQ(ierr); 2453 if (!flg_row) { 2454 SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in MatGetRowIJ called in %s\n",__FUNCT__); 2455 } 2456 ierr = PCBDDCSetLocalAdjacencyGraph(pc,i,xadj,adjncy,PETSC_COPY_VALUES);CHKERRQ(ierr); 2457 ierr = MatRestoreRowIJ(mat_adj,0,PETSC_TRUE,PETSC_FALSE,&i,&xadj,&adjncy,&flg_row);CHKERRQ(ierr); 2458 if (!flg_row) { 2459 SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in MatRestoreRowIJ called in %s\n",__FUNCT__); 2460 } 2461 ierr = MatDestroy(&mat_adj);CHKERRQ(ierr); 2462 pcbddc->deluxe_compute_rowadj = PETSC_FALSE; 2463 } 2464 2465 /* Set default dofs' splitting if no information has been provided by the user with PCBDDCSetDofsSplitting or PCBDDCSetDofsSplittingLocal */ 2466 vertex_size = 1; 2467 if (pcbddc->user_provided_isfordofs) { 2468 if (pcbddc->n_ISForDofs) { /* need to convert from global to local and remove references to global dofs splitting */ 2469 ierr = PetscMalloc1(pcbddc->n_ISForDofs,&pcbddc->ISForDofsLocal);CHKERRQ(ierr); 2470 for (i=0;i<pcbddc->n_ISForDofs;i++) { 2471 ierr = PCBDDCGlobalToLocal(matis->ctx,pcis->vec1_global,pcis->vec1_N,pcbddc->ISForDofs[i],&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr); 2472 ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr); 2473 } 2474 pcbddc->n_ISForDofsLocal = pcbddc->n_ISForDofs; 2475 pcbddc->n_ISForDofs = 0; 2476 ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr); 2477 } 2478 /* mat block size as vertex size (used for elasticity with rigid body modes as nearnullspace) */ 2479 ierr = MatGetBlockSize(matis->A,&vertex_size);CHKERRQ(ierr); 2480 } else { 2481 if (!pcbddc->n_ISForDofsLocal) { /* field split not present, create it in local ordering */ 2482 ierr = MatGetBlockSize(pc->pmat,&pcbddc->n_ISForDofsLocal);CHKERRQ(ierr); 2483 ierr = PetscMalloc(pcbddc->n_ISForDofsLocal*sizeof(IS),&pcbddc->ISForDofsLocal);CHKERRQ(ierr); 2484 for (i=0;i<pcbddc->n_ISForDofsLocal;i++) { 2485 ierr = ISCreateStride(PetscObjectComm((PetscObject)pc),pcis->n/pcbddc->n_ISForDofsLocal,i,pcbddc->n_ISForDofsLocal,&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr); 2486 } 2487 } 2488 } 2489 2490 /* Setup of Graph */ 2491 if (!pcbddc->DirichletBoundariesLocal && pcbddc->DirichletBoundaries) { /* need to convert from global to local */ 2492 ierr = PCBDDCGlobalToLocal(matis->ctx,pcis->vec1_global,pcis->vec1_N,pcbddc->DirichletBoundaries,&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr); 2493 } 2494 if (!pcbddc->NeumannBoundariesLocal && pcbddc->NeumannBoundaries) { /* need to convert from global to local */ 2495 ierr = PCBDDCGlobalToLocal(matis->ctx,pcis->vec1_global,pcis->vec1_N,pcbddc->NeumannBoundaries,&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr); 2496 } 2497 ierr = PCBDDCGraphSetUp(pcbddc->mat_graph,vertex_size,pcbddc->NeumannBoundariesLocal,pcbddc->DirichletBoundariesLocal,pcbddc->n_ISForDofsLocal,pcbddc->ISForDofsLocal,pcbddc->user_primal_vertices); 2498 2499 /* Graph's connected components analysis */ 2500 ierr = PCBDDCGraphComputeConnectedComponents(pcbddc->mat_graph);CHKERRQ(ierr); 2501 2502 /* print some info to stdout */ 2503 if (pcbddc->dbg_flag) { 2504 ierr = PCBDDCGraphASCIIView(pcbddc->mat_graph,pcbddc->dbg_flag,viewer); 2505 } 2506 2507 /* mark topography has done */ 2508 pcbddc->recompute_topography = PETSC_FALSE; 2509 PetscFunctionReturn(0); 2510 } 2511 2512 #undef __FUNCT__ 2513 #define __FUNCT__ "PCBDDCGetPrimalVerticesLocalIdx" 2514 PetscErrorCode PCBDDCGetPrimalVerticesLocalIdx(PC pc, PetscInt *n_vertices, PetscInt **vertices_idx) 2515 { 2516 PC_BDDC *pcbddc = (PC_BDDC*)(pc->data); 2517 PetscInt *vertices,*row_cmat_indices,n,i,size_of_constraint,local_primal_size; 2518 PetscErrorCode ierr; 2519 2520 PetscFunctionBegin; 2521 n = 0; 2522 vertices = 0; 2523 if (pcbddc->ConstraintMatrix) { 2524 ierr = MatGetSize(pcbddc->ConstraintMatrix,&local_primal_size,&i);CHKERRQ(ierr); 2525 for (i=0;i<local_primal_size;i++) { 2526 ierr = MatGetRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,NULL,NULL);CHKERRQ(ierr); 2527 if (size_of_constraint == 1) n++; 2528 ierr = MatRestoreRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,NULL,NULL);CHKERRQ(ierr); 2529 } 2530 if (vertices_idx) { 2531 ierr = PetscMalloc1(n,&vertices);CHKERRQ(ierr); 2532 n = 0; 2533 for (i=0;i<local_primal_size;i++) { 2534 ierr = MatGetRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,(const PetscInt**)&row_cmat_indices,NULL);CHKERRQ(ierr); 2535 if (size_of_constraint == 1) { 2536 vertices[n++]=row_cmat_indices[0]; 2537 } 2538 ierr = MatRestoreRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,(const PetscInt**)&row_cmat_indices,NULL);CHKERRQ(ierr); 2539 } 2540 } 2541 } 2542 *n_vertices = n; 2543 if (vertices_idx) *vertices_idx = vertices; 2544 PetscFunctionReturn(0); 2545 } 2546 2547 #undef __FUNCT__ 2548 #define __FUNCT__ "PCBDDCGetPrimalConstraintsLocalIdx" 2549 PetscErrorCode PCBDDCGetPrimalConstraintsLocalIdx(PC pc, PetscInt *n_constraints, PetscInt **constraints_idx) 2550 { 2551 PC_BDDC *pcbddc = (PC_BDDC*)(pc->data); 2552 PetscInt *constraints_index,*row_cmat_indices,*row_cmat_global_indices; 2553 PetscInt n,i,j,size_of_constraint,local_primal_size,local_size,max_size_of_constraint,min_index,min_loc; 2554 PetscBT touched; 2555 PetscErrorCode ierr; 2556 2557 /* This function assumes that the number of local constraints per connected component 2558 is not greater than the number of nodes defined for the connected component 2559 (otherwise we will surely have linear dependence between constraints and thus a singular coarse problem) */ 2560 PetscFunctionBegin; 2561 n = 0; 2562 constraints_index = 0; 2563 if (pcbddc->ConstraintMatrix) { 2564 ierr = MatGetSize(pcbddc->ConstraintMatrix,&local_primal_size,&local_size);CHKERRQ(ierr); 2565 max_size_of_constraint = 0; 2566 for (i=0;i<local_primal_size;i++) { 2567 ierr = MatGetRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,NULL,NULL);CHKERRQ(ierr); 2568 if (size_of_constraint > 1) { 2569 n++; 2570 } 2571 max_size_of_constraint = PetscMax(size_of_constraint,max_size_of_constraint); 2572 ierr = MatRestoreRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,NULL,NULL);CHKERRQ(ierr); 2573 } 2574 if (constraints_idx) { 2575 ierr = PetscMalloc1(n,&constraints_index);CHKERRQ(ierr); 2576 ierr = PetscMalloc1(max_size_of_constraint,&row_cmat_global_indices);CHKERRQ(ierr); 2577 ierr = PetscBTCreate(local_size,&touched);CHKERRQ(ierr); 2578 n = 0; 2579 for (i=0;i<local_primal_size;i++) { 2580 ierr = MatGetRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,(const PetscInt**)&row_cmat_indices,NULL);CHKERRQ(ierr); 2581 if (size_of_constraint > 1) { 2582 ierr = ISLocalToGlobalMappingApply(pcbddc->mat_graph->l2gmap,size_of_constraint,row_cmat_indices,row_cmat_global_indices);CHKERRQ(ierr); 2583 /* find first untouched local node */ 2584 j = 0; 2585 while (PetscBTLookup(touched,row_cmat_indices[j])) j++; 2586 min_index = row_cmat_global_indices[j]; 2587 min_loc = j; 2588 /* search the minimum among nodes not yet touched on the connected component 2589 since there can be more than one constraint on a single cc */ 2590 for (j=1;j<size_of_constraint;j++) { 2591 if (!PetscBTLookup(touched,row_cmat_indices[j]) && min_index > row_cmat_global_indices[j]) { 2592 min_index = row_cmat_global_indices[j]; 2593 min_loc = j; 2594 } 2595 } 2596 ierr = PetscBTSet(touched,row_cmat_indices[min_loc]);CHKERRQ(ierr); 2597 constraints_index[n++] = row_cmat_indices[min_loc]; 2598 } 2599 ierr = MatRestoreRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,(const PetscInt**)&row_cmat_indices,NULL);CHKERRQ(ierr); 2600 } 2601 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 2602 ierr = PetscFree(row_cmat_global_indices);CHKERRQ(ierr); 2603 } 2604 } 2605 *n_constraints = n; 2606 if (constraints_idx) *constraints_idx = constraints_index; 2607 PetscFunctionReturn(0); 2608 } 2609 2610 #undef __FUNCT__ 2611 #define __FUNCT__ "PCBDDCSubsetNumbering" 2612 PetscErrorCode PCBDDCSubsetNumbering(MPI_Comm comm,ISLocalToGlobalMapping l2gmap, PetscInt n_local_dofs, PetscInt local_dofs[], PetscInt local_dofs_mult[], PetscInt* n_global_subset, PetscInt* global_numbering_subset[]) 2613 { 2614 Vec local_vec,global_vec; 2615 IS seqis,paris; 2616 VecScatter scatter_ctx; 2617 PetscScalar *array; 2618 PetscInt *temp_global_dofs; 2619 PetscScalar globalsum; 2620 PetscInt i,j,s; 2621 PetscInt nlocals,first_index,old_index,max_local; 2622 PetscMPIInt rank_prec_comm,size_prec_comm,max_global; 2623 PetscMPIInt *dof_sizes,*dof_displs; 2624 PetscBool first_found; 2625 PetscErrorCode ierr; 2626 2627 PetscFunctionBegin; 2628 /* mpi buffers */ 2629 ierr = MPI_Comm_size(comm,&size_prec_comm);CHKERRQ(ierr); 2630 ierr = MPI_Comm_rank(comm,&rank_prec_comm);CHKERRQ(ierr); 2631 j = ( !rank_prec_comm ? size_prec_comm : 0); 2632 ierr = PetscMalloc1(j,&dof_sizes);CHKERRQ(ierr); 2633 ierr = PetscMalloc1(j,&dof_displs);CHKERRQ(ierr); 2634 /* get maximum size of subset */ 2635 ierr = PetscMalloc1(n_local_dofs,&temp_global_dofs);CHKERRQ(ierr); 2636 ierr = ISLocalToGlobalMappingApply(l2gmap,n_local_dofs,local_dofs,temp_global_dofs);CHKERRQ(ierr); 2637 max_local = 0; 2638 for (i=0;i<n_local_dofs;i++) { 2639 if (max_local < temp_global_dofs[i] ) { 2640 max_local = temp_global_dofs[i]; 2641 } 2642 } 2643 ierr = MPI_Allreduce(&max_local,&max_global,1,MPIU_INT,MPI_MAX,comm);CHKERRQ(ierr); 2644 max_global++; 2645 max_local = 0; 2646 for (i=0;i<n_local_dofs;i++) { 2647 if (max_local < local_dofs[i] ) { 2648 max_local = local_dofs[i]; 2649 } 2650 } 2651 max_local++; 2652 /* allocate workspace */ 2653 ierr = VecCreate(PETSC_COMM_SELF,&local_vec);CHKERRQ(ierr); 2654 ierr = VecSetSizes(local_vec,PETSC_DECIDE,max_local);CHKERRQ(ierr); 2655 ierr = VecSetType(local_vec,VECSEQ);CHKERRQ(ierr); 2656 ierr = VecCreate(comm,&global_vec);CHKERRQ(ierr); 2657 ierr = VecSetSizes(global_vec,PETSC_DECIDE,max_global);CHKERRQ(ierr); 2658 ierr = VecSetType(global_vec,VECMPI);CHKERRQ(ierr); 2659 /* create scatter */ 2660 ierr = ISCreateGeneral(PETSC_COMM_SELF,n_local_dofs,local_dofs,PETSC_COPY_VALUES,&seqis);CHKERRQ(ierr); 2661 ierr = ISCreateGeneral(comm,n_local_dofs,temp_global_dofs,PETSC_COPY_VALUES,&paris);CHKERRQ(ierr); 2662 ierr = VecScatterCreate(local_vec,seqis,global_vec,paris,&scatter_ctx);CHKERRQ(ierr); 2663 ierr = ISDestroy(&seqis);CHKERRQ(ierr); 2664 ierr = ISDestroy(&paris);CHKERRQ(ierr); 2665 /* init array */ 2666 ierr = VecSet(global_vec,0.0);CHKERRQ(ierr); 2667 ierr = VecSet(local_vec,0.0);CHKERRQ(ierr); 2668 ierr = VecGetArray(local_vec,&array);CHKERRQ(ierr); 2669 if (local_dofs_mult) { 2670 for (i=0;i<n_local_dofs;i++) { 2671 array[local_dofs[i]]=(PetscScalar)local_dofs_mult[i]; 2672 } 2673 } else { 2674 for (i=0;i<n_local_dofs;i++) { 2675 array[local_dofs[i]]=1.0; 2676 } 2677 } 2678 ierr = VecRestoreArray(local_vec,&array);CHKERRQ(ierr); 2679 /* scatter into global vec and get total number of global dofs */ 2680 ierr = VecScatterBegin(scatter_ctx,local_vec,global_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2681 ierr = VecScatterEnd(scatter_ctx,local_vec,global_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2682 ierr = VecSum(global_vec,&globalsum);CHKERRQ(ierr); 2683 *n_global_subset = (PetscInt)PetscRealPart(globalsum); 2684 /* Fill global_vec with cumulative function for global numbering */ 2685 ierr = VecGetArray(global_vec,&array);CHKERRQ(ierr); 2686 ierr = VecGetLocalSize(global_vec,&s);CHKERRQ(ierr); 2687 nlocals = 0; 2688 first_index = -1; 2689 first_found = PETSC_FALSE; 2690 for (i=0;i<s;i++) { 2691 if (!first_found && PetscRealPart(array[i]) > 0.1) { 2692 first_found = PETSC_TRUE; 2693 first_index = i; 2694 } 2695 nlocals += (PetscInt)PetscRealPart(array[i]); 2696 } 2697 ierr = MPI_Gather(&nlocals,1,MPIU_INT,dof_sizes,1,MPIU_INT,0,comm);CHKERRQ(ierr); 2698 if (!rank_prec_comm) { 2699 dof_displs[0]=0; 2700 for (i=1;i<size_prec_comm;i++) { 2701 dof_displs[i] = dof_displs[i-1]+dof_sizes[i-1]; 2702 } 2703 } 2704 ierr = MPI_Scatter(dof_displs,1,MPIU_INT,&nlocals,1,MPIU_INT,0,comm);CHKERRQ(ierr); 2705 if (first_found) { 2706 array[first_index] += (PetscScalar)nlocals; 2707 old_index = first_index; 2708 for (i=first_index+1;i<s;i++) { 2709 if (PetscRealPart(array[i]) > 0.1) { 2710 array[i] += array[old_index]; 2711 old_index = i; 2712 } 2713 } 2714 } 2715 ierr = VecRestoreArray(global_vec,&array);CHKERRQ(ierr); 2716 ierr = VecSet(local_vec,0.0);CHKERRQ(ierr); 2717 ierr = VecScatterBegin(scatter_ctx,global_vec,local_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2718 ierr = VecScatterEnd(scatter_ctx,global_vec,local_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2719 /* get global ordering of local dofs */ 2720 ierr = VecGetArray(local_vec,&array);CHKERRQ(ierr); 2721 if (local_dofs_mult) { 2722 for (i=0;i<n_local_dofs;i++) { 2723 temp_global_dofs[i] = (PetscInt)PetscRealPart(array[local_dofs[i]])-local_dofs_mult[i]; 2724 } 2725 } else { 2726 for (i=0;i<n_local_dofs;i++) { 2727 temp_global_dofs[i] = (PetscInt)PetscRealPart(array[local_dofs[i]])-1; 2728 } 2729 } 2730 ierr = VecRestoreArray(local_vec,&array);CHKERRQ(ierr); 2731 /* free workspace */ 2732 ierr = VecScatterDestroy(&scatter_ctx);CHKERRQ(ierr); 2733 ierr = VecDestroy(&local_vec);CHKERRQ(ierr); 2734 ierr = VecDestroy(&global_vec);CHKERRQ(ierr); 2735 ierr = PetscFree(dof_sizes);CHKERRQ(ierr); 2736 ierr = PetscFree(dof_displs);CHKERRQ(ierr); 2737 /* return pointer to global ordering of local dofs */ 2738 *global_numbering_subset = temp_global_dofs; 2739 PetscFunctionReturn(0); 2740 } 2741 2742 #undef __FUNCT__ 2743 #define __FUNCT__ "PCBDDCOrthonormalizeVecs" 2744 PetscErrorCode PCBDDCOrthonormalizeVecs(PetscInt n, Vec vecs[]) 2745 { 2746 PetscInt i,j; 2747 PetscScalar *alphas; 2748 PetscErrorCode ierr; 2749 2750 PetscFunctionBegin; 2751 /* this implements stabilized Gram-Schmidt */ 2752 ierr = PetscMalloc1(n,&alphas);CHKERRQ(ierr); 2753 for (i=0;i<n;i++) { 2754 ierr = VecNormalize(vecs[i],NULL);CHKERRQ(ierr); 2755 if (i<n) { ierr = VecMDot(vecs[i],n-i-1,&vecs[i+1],&alphas[i+1]);CHKERRQ(ierr); } 2756 for (j=i+1;j<n;j++) { ierr = VecAXPY(vecs[j],PetscConj(-alphas[j]),vecs[i]);CHKERRQ(ierr); } 2757 } 2758 ierr = PetscFree(alphas);CHKERRQ(ierr); 2759 PetscFunctionReturn(0); 2760 } 2761 2762 #undef __FUNCT__ 2763 #define __FUNCT__ "MatISGetSubassemblingPattern" 2764 PetscErrorCode MatISGetSubassemblingPattern(Mat mat, PetscInt n_subdomains, PetscBool contiguous, IS* is_sends) 2765 { 2766 Mat subdomain_adj; 2767 IS new_ranks,ranks_send_to; 2768 MatPartitioning partitioner; 2769 Mat_IS *matis; 2770 PetscInt n_neighs,*neighs,*n_shared,**shared; 2771 PetscInt prank; 2772 PetscMPIInt size,rank,color; 2773 PetscInt *xadj,*adjncy,*oldranks; 2774 PetscInt *adjncy_wgt,*v_wgt,*is_indices,*ranks_send_to_idx; 2775 PetscInt i,j,local_size,threshold=0; 2776 PetscErrorCode ierr; 2777 PetscBool use_vwgt=PETSC_FALSE,use_square=PETSC_FALSE; 2778 PetscSubcomm subcomm; 2779 2780 PetscFunctionBegin; 2781 ierr = PetscOptionsGetBool(NULL,"-matis_partitioning_use_square",&use_square,NULL);CHKERRQ(ierr); 2782 ierr = PetscOptionsGetBool(NULL,"-matis_partitioning_use_vwgt",&use_vwgt,NULL);CHKERRQ(ierr); 2783 ierr = PetscOptionsGetInt(NULL,"-matis_partitioning_threshold",&threshold,NULL);CHKERRQ(ierr); 2784 2785 /* Get info on mapping */ 2786 matis = (Mat_IS*)(mat->data); 2787 ierr = ISLocalToGlobalMappingGetSize(matis->mapping,&local_size);CHKERRQ(ierr); 2788 ierr = ISLocalToGlobalMappingGetInfo(matis->mapping,&n_neighs,&neighs,&n_shared,&shared);CHKERRQ(ierr); 2789 2790 /* build local CSR graph of subdomains' connectivity */ 2791 ierr = PetscMalloc1(2,&xadj);CHKERRQ(ierr); 2792 xadj[0] = 0; 2793 xadj[1] = PetscMax(n_neighs-1,0); 2794 ierr = PetscMalloc1(xadj[1],&adjncy);CHKERRQ(ierr); 2795 ierr = PetscMalloc1(xadj[1],&adjncy_wgt);CHKERRQ(ierr); 2796 2797 if (threshold) { 2798 PetscInt xadj_count = 0; 2799 for (i=1;i<n_neighs;i++) { 2800 for (j=0;j<n_shared[i];j++) { 2801 if (n_shared[i] > threshold) { 2802 adjncy[xadj_count] = neighs[i]; 2803 adjncy_wgt[xadj_count] = n_shared[i]; 2804 xadj_count++; 2805 break; 2806 } 2807 } 2808 } 2809 xadj[1] = xadj_count; 2810 } else { 2811 if (xadj[1]) { 2812 ierr = PetscMemcpy(adjncy,&neighs[1],xadj[1]*sizeof(*adjncy));CHKERRQ(ierr); 2813 ierr = PetscMemcpy(adjncy_wgt,&n_shared[1],xadj[1]*sizeof(*adjncy_wgt));CHKERRQ(ierr); 2814 } 2815 } 2816 ierr = ISLocalToGlobalMappingRestoreInfo(matis->mapping,&n_neighs,&neighs,&n_shared,&shared);CHKERRQ(ierr); 2817 if (use_square) { 2818 for (i=0;i<xadj[1];i++) { 2819 adjncy_wgt[i] = adjncy_wgt[i]*adjncy_wgt[i]; 2820 } 2821 } 2822 ierr = PetscSortIntWithArray(xadj[1],adjncy,adjncy_wgt);CHKERRQ(ierr); 2823 2824 ierr = PetscMalloc(sizeof(PetscInt),&ranks_send_to_idx);CHKERRQ(ierr); 2825 2826 /* 2827 Restrict work on active processes only. 2828 */ 2829 ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)mat),&subcomm);CHKERRQ(ierr); 2830 ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr); /* 2 groups, active process and not active processes */ 2831 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr); 2832 ierr = PetscMPIIntCast(!local_size,&color);CHKERRQ(ierr); 2833 ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr); 2834 if (color) { 2835 ierr = PetscFree(xadj);CHKERRQ(ierr); 2836 ierr = PetscFree(adjncy);CHKERRQ(ierr); 2837 ierr = PetscFree(adjncy_wgt);CHKERRQ(ierr); 2838 } else { 2839 PetscInt coarsening_ratio; 2840 ierr = MPI_Comm_size(subcomm->comm,&size);CHKERRQ(ierr); 2841 ierr = PetscMalloc1(size,&oldranks);CHKERRQ(ierr); 2842 prank = rank; 2843 ierr = MPI_Allgather(&prank,1,MPIU_INT,oldranks,1,MPIU_INT,subcomm->comm);CHKERRQ(ierr); 2844 /* 2845 for (i=0;i<size;i++) { 2846 PetscPrintf(subcomm->comm,"oldranks[%d] = %d\n",i,oldranks[i]); 2847 } 2848 */ 2849 for (i=0;i<xadj[1];i++) { 2850 ierr = PetscFindInt(adjncy[i],size,oldranks,&adjncy[i]);CHKERRQ(ierr); 2851 } 2852 ierr = PetscSortIntWithArray(xadj[1],adjncy,adjncy_wgt);CHKERRQ(ierr); 2853 ierr = MatCreateMPIAdj(subcomm->comm,1,(PetscInt)size,xadj,adjncy,adjncy_wgt,&subdomain_adj);CHKERRQ(ierr); 2854 /* ierr = MatView(subdomain_adj,0);CHKERRQ(ierr); */ 2855 2856 /* Partition */ 2857 ierr = MatPartitioningCreate(subcomm->comm,&partitioner);CHKERRQ(ierr); 2858 ierr = MatPartitioningSetAdjacency(partitioner,subdomain_adj);CHKERRQ(ierr); 2859 if (use_vwgt) { 2860 ierr = PetscMalloc(sizeof(*v_wgt),&v_wgt);CHKERRQ(ierr); 2861 v_wgt[0] = local_size; 2862 ierr = MatPartitioningSetVertexWeights(partitioner,v_wgt);CHKERRQ(ierr); 2863 } 2864 n_subdomains = PetscMin((PetscInt)size,n_subdomains); 2865 coarsening_ratio = size/n_subdomains; 2866 ierr = MatPartitioningSetNParts(partitioner,n_subdomains);CHKERRQ(ierr); 2867 ierr = MatPartitioningSetFromOptions(partitioner);CHKERRQ(ierr); 2868 ierr = MatPartitioningApply(partitioner,&new_ranks);CHKERRQ(ierr); 2869 /* ierr = MatPartitioningView(partitioner,0);CHKERRQ(ierr); */ 2870 2871 ierr = ISGetIndices(new_ranks,(const PetscInt**)&is_indices);CHKERRQ(ierr); 2872 if (contiguous) { 2873 ranks_send_to_idx[0] = oldranks[is_indices[0]]; /* contiguos set of processes */ 2874 } else { 2875 ranks_send_to_idx[0] = coarsening_ratio*oldranks[is_indices[0]]; /* scattered set of processes */ 2876 } 2877 ierr = ISRestoreIndices(new_ranks,(const PetscInt**)&is_indices);CHKERRQ(ierr); 2878 /* clean up */ 2879 ierr = PetscFree(oldranks);CHKERRQ(ierr); 2880 ierr = ISDestroy(&new_ranks);CHKERRQ(ierr); 2881 ierr = MatDestroy(&subdomain_adj);CHKERRQ(ierr); 2882 ierr = MatPartitioningDestroy(&partitioner);CHKERRQ(ierr); 2883 } 2884 ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr); 2885 2886 /* assemble parallel IS for sends */ 2887 i = 1; 2888 if (color) i=0; 2889 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)mat),i,ranks_send_to_idx,PETSC_OWN_POINTER,&ranks_send_to);CHKERRQ(ierr); 2890 2891 /* get back IS */ 2892 *is_sends = ranks_send_to; 2893 PetscFunctionReturn(0); 2894 } 2895 2896 typedef enum {MATDENSE_PRIVATE=0,MATAIJ_PRIVATE,MATBAIJ_PRIVATE,MATSBAIJ_PRIVATE}MatTypePrivate; 2897 2898 #undef __FUNCT__ 2899 #define __FUNCT__ "MatISSubassemble" 2900 PetscErrorCode MatISSubassemble(Mat mat, IS is_sends, PetscInt n_subdomains, PetscBool restrict_comm, MatReuse reuse, Mat *mat_n, PetscInt nis, IS isarray[]) 2901 { 2902 Mat local_mat; 2903 Mat_IS *matis; 2904 IS is_sends_internal; 2905 PetscInt rows,cols; 2906 PetscInt i,bs,buf_size_idxs,buf_size_idxs_is,buf_size_vals; 2907 PetscBool ismatis,isdense,destroy_mat; 2908 ISLocalToGlobalMapping l2gmap; 2909 PetscInt* l2gmap_indices; 2910 const PetscInt* is_indices; 2911 MatType new_local_type; 2912 /* buffers */ 2913 PetscInt *ptr_idxs,*send_buffer_idxs,*recv_buffer_idxs; 2914 PetscInt *ptr_idxs_is,*send_buffer_idxs_is,*recv_buffer_idxs_is; 2915 PetscScalar *ptr_vals,*send_buffer_vals,*recv_buffer_vals; 2916 /* MPI */ 2917 MPI_Comm comm,comm_n; 2918 PetscSubcomm subcomm; 2919 PetscMPIInt n_sends,n_recvs,commsize; 2920 PetscMPIInt *iflags,*ilengths_idxs,*ilengths_vals,*ilengths_idxs_is; 2921 PetscMPIInt *onodes,*onodes_is,*olengths_idxs,*olengths_idxs_is,*olengths_vals; 2922 PetscMPIInt len,tag_idxs,tag_idxs_is,tag_vals,source_dest; 2923 MPI_Request *send_req_idxs,*send_req_idxs_is,*send_req_vals; 2924 MPI_Request *recv_req_idxs,*recv_req_idxs_is,*recv_req_vals; 2925 PetscErrorCode ierr; 2926 2927 PetscFunctionBegin; 2928 /* TODO: add missing checks */ 2929 PetscValidLogicalCollectiveInt(mat,n_subdomains,3); 2930 PetscValidLogicalCollectiveBool(mat,restrict_comm,4); 2931 PetscValidLogicalCollectiveEnum(mat,reuse,5); 2932 PetscValidLogicalCollectiveInt(mat,nis,7); 2933 ierr = PetscObjectTypeCompare((PetscObject)mat,MATIS,&ismatis);CHKERRQ(ierr); 2934 if (!ismatis) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Cannot use %s on a matrix object which is not of type MATIS",__FUNCT__); 2935 ierr = MatISGetLocalMat(mat,&local_mat);CHKERRQ(ierr); 2936 ierr = PetscObjectTypeCompare((PetscObject)local_mat,MATSEQDENSE,&isdense);CHKERRQ(ierr); 2937 if (!isdense) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Currently cannot subassemble MATIS when local matrix type is not of type SEQDENSE"); 2938 ierr = MatGetSize(local_mat,&rows,&cols);CHKERRQ(ierr); 2939 if (rows != cols) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Local MATIS matrices should be square"); 2940 if (reuse == MAT_REUSE_MATRIX && *mat_n) { 2941 PetscInt mrows,mcols,mnrows,mncols; 2942 ierr = PetscObjectTypeCompare((PetscObject)*mat_n,MATIS,&ismatis);CHKERRQ(ierr); 2943 if (!ismatis) SETERRQ(PetscObjectComm((PetscObject)*mat_n),PETSC_ERR_SUP,"Cannot reuse a matrix which is not of type MATIS"); 2944 ierr = MatGetSize(mat,&mrows,&mcols);CHKERRQ(ierr); 2945 ierr = MatGetSize(*mat_n,&mnrows,&mncols);CHKERRQ(ierr); 2946 if (mrows != mnrows) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Cannot reuse matrix! Wrong number of rows %D != %D",mrows,mnrows); 2947 if (mcols != mncols) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Cannot reuse matrix! Wrong number of cols %D != %D",mcols,mncols); 2948 } 2949 ierr = MatGetBlockSize(local_mat,&bs);CHKERRQ(ierr); 2950 PetscValidLogicalCollectiveInt(mat,bs,0); 2951 /* prepare IS for sending if not provided */ 2952 if (!is_sends) { 2953 PetscBool pcontig = PETSC_TRUE; 2954 if (!n_subdomains) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"You should specify either an IS or a target number of subdomains"); 2955 ierr = MatISGetSubassemblingPattern(mat,n_subdomains,pcontig,&is_sends_internal);CHKERRQ(ierr); 2956 } else { 2957 ierr = PetscObjectReference((PetscObject)is_sends);CHKERRQ(ierr); 2958 is_sends_internal = is_sends; 2959 } 2960 2961 /* get pointer of MATIS data */ 2962 matis = (Mat_IS*)mat->data; 2963 2964 /* get comm */ 2965 ierr = PetscObjectGetComm((PetscObject)mat,&comm);CHKERRQ(ierr); 2966 2967 /* compute number of sends */ 2968 ierr = ISGetLocalSize(is_sends_internal,&i);CHKERRQ(ierr); 2969 ierr = PetscMPIIntCast(i,&n_sends);CHKERRQ(ierr); 2970 2971 /* compute number of receives */ 2972 ierr = MPI_Comm_size(comm,&commsize);CHKERRQ(ierr); 2973 ierr = PetscMalloc1(commsize,&iflags);CHKERRQ(ierr); 2974 ierr = PetscMemzero(iflags,commsize*sizeof(*iflags));CHKERRQ(ierr); 2975 ierr = ISGetIndices(is_sends_internal,&is_indices);CHKERRQ(ierr); 2976 for (i=0;i<n_sends;i++) iflags[is_indices[i]] = 1; 2977 ierr = PetscGatherNumberOfMessages(comm,iflags,NULL,&n_recvs);CHKERRQ(ierr); 2978 ierr = PetscFree(iflags);CHKERRQ(ierr); 2979 2980 /* restrict comm if requested */ 2981 subcomm = 0; 2982 destroy_mat = PETSC_FALSE; 2983 if (restrict_comm) { 2984 PetscMPIInt color,rank,subcommsize; 2985 ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr); 2986 color = 0; 2987 if (n_sends && !n_recvs) color = 1; /* sending only processes will not partecipate in new comm */ 2988 ierr = MPI_Allreduce(&color,&subcommsize,1,MPI_INT,MPI_SUM,comm);CHKERRQ(ierr); 2989 subcommsize = commsize - subcommsize; 2990 /* check if reuse has been requested */ 2991 if (reuse == MAT_REUSE_MATRIX) { 2992 if (*mat_n) { 2993 PetscMPIInt subcommsize2; 2994 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)*mat_n),&subcommsize2);CHKERRQ(ierr); 2995 if (subcommsize != subcommsize2) SETERRQ2(PetscObjectComm((PetscObject)*mat_n),PETSC_ERR_PLIB,"Cannot reuse matrix! wrong subcomm size %d != %d",subcommsize,subcommsize2); 2996 comm_n = PetscObjectComm((PetscObject)*mat_n); 2997 } else { 2998 comm_n = PETSC_COMM_SELF; 2999 } 3000 } else { /* MAT_INITIAL_MATRIX */ 3001 ierr = PetscSubcommCreate(comm,&subcomm);CHKERRQ(ierr); 3002 ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr); 3003 ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr); 3004 comm_n = subcomm->comm; 3005 } 3006 /* flag to destroy *mat_n if not significative */ 3007 if (color) destroy_mat = PETSC_TRUE; 3008 } else { 3009 comm_n = comm; 3010 } 3011 3012 /* prepare send/receive buffers */ 3013 ierr = PetscMalloc1(commsize,&ilengths_idxs);CHKERRQ(ierr); 3014 ierr = PetscMemzero(ilengths_idxs,commsize*sizeof(*ilengths_idxs));CHKERRQ(ierr); 3015 ierr = PetscMalloc1(commsize,&ilengths_vals);CHKERRQ(ierr); 3016 ierr = PetscMemzero(ilengths_vals,commsize*sizeof(*ilengths_vals));CHKERRQ(ierr); 3017 if (nis) { 3018 ierr = PetscMalloc(commsize*sizeof(*ilengths_idxs_is),&ilengths_idxs_is);CHKERRQ(ierr); 3019 ierr = PetscMemzero(ilengths_idxs_is,commsize*sizeof(*ilengths_idxs_is));CHKERRQ(ierr); 3020 } 3021 3022 /* Get data from local matrices */ 3023 if (!isdense) { 3024 SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Subassembling of AIJ local matrices not yet implemented"); 3025 /* TODO: See below some guidelines on how to prepare the local buffers */ 3026 /* 3027 send_buffer_vals should contain the raw values of the local matrix 3028 send_buffer_idxs should contain: 3029 - MatType_PRIVATE type 3030 - PetscInt size_of_l2gmap 3031 - PetscInt global_row_indices[size_of_l2gmap] 3032 - PetscInt all_other_info_which_is_needed_to_compute_preallocation_and_set_values 3033 */ 3034 } else { 3035 ierr = MatDenseGetArray(local_mat,&send_buffer_vals);CHKERRQ(ierr); 3036 ierr = ISLocalToGlobalMappingGetSize(matis->mapping,&i);CHKERRQ(ierr); 3037 ierr = PetscMalloc1((i+2),&send_buffer_idxs);CHKERRQ(ierr); 3038 send_buffer_idxs[0] = (PetscInt)MATDENSE_PRIVATE; 3039 send_buffer_idxs[1] = i; 3040 ierr = ISLocalToGlobalMappingGetIndices(matis->mapping,(const PetscInt**)&ptr_idxs);CHKERRQ(ierr); 3041 ierr = PetscMemcpy(&send_buffer_idxs[2],ptr_idxs,i*sizeof(PetscInt));CHKERRQ(ierr); 3042 ierr = ISLocalToGlobalMappingRestoreIndices(matis->mapping,(const PetscInt**)&ptr_idxs);CHKERRQ(ierr); 3043 ierr = PetscMPIIntCast(i,&len);CHKERRQ(ierr); 3044 for (i=0;i<n_sends;i++) { 3045 ilengths_vals[is_indices[i]] = len*len; 3046 ilengths_idxs[is_indices[i]] = len+2; 3047 } 3048 } 3049 ierr = PetscGatherMessageLengths2(comm,n_sends,n_recvs,ilengths_idxs,ilengths_vals,&onodes,&olengths_idxs,&olengths_vals);CHKERRQ(ierr); 3050 /* additional is (if any) */ 3051 if (nis) { 3052 PetscMPIInt psum; 3053 PetscInt j; 3054 for (j=0,psum=0;j<nis;j++) { 3055 PetscInt plen; 3056 ierr = ISGetLocalSize(isarray[j],&plen);CHKERRQ(ierr); 3057 ierr = PetscMPIIntCast(plen,&len);CHKERRQ(ierr); 3058 psum += len+1; /* indices + lenght */ 3059 } 3060 ierr = PetscMalloc(psum*sizeof(PetscInt),&send_buffer_idxs_is);CHKERRQ(ierr); 3061 for (j=0,psum=0;j<nis;j++) { 3062 PetscInt plen; 3063 const PetscInt *is_array_idxs; 3064 ierr = ISGetLocalSize(isarray[j],&plen);CHKERRQ(ierr); 3065 send_buffer_idxs_is[psum] = plen; 3066 ierr = ISGetIndices(isarray[j],&is_array_idxs);CHKERRQ(ierr); 3067 ierr = PetscMemcpy(&send_buffer_idxs_is[psum+1],is_array_idxs,plen*sizeof(PetscInt));CHKERRQ(ierr); 3068 ierr = ISRestoreIndices(isarray[j],&is_array_idxs);CHKERRQ(ierr); 3069 psum += plen+1; /* indices + lenght */ 3070 } 3071 for (i=0;i<n_sends;i++) { 3072 ilengths_idxs_is[is_indices[i]] = psum; 3073 } 3074 ierr = PetscGatherMessageLengths(comm,n_sends,n_recvs,ilengths_idxs_is,&onodes_is,&olengths_idxs_is);CHKERRQ(ierr); 3075 } 3076 3077 buf_size_idxs = 0; 3078 buf_size_vals = 0; 3079 buf_size_idxs_is = 0; 3080 for (i=0;i<n_recvs;i++) { 3081 buf_size_idxs += (PetscInt)olengths_idxs[i]; 3082 buf_size_vals += (PetscInt)olengths_vals[i]; 3083 if (nis) buf_size_idxs_is += (PetscInt)olengths_idxs_is[i]; 3084 } 3085 ierr = PetscMalloc1(buf_size_idxs,&recv_buffer_idxs);CHKERRQ(ierr); 3086 ierr = PetscMalloc1(buf_size_vals,&recv_buffer_vals);CHKERRQ(ierr); 3087 ierr = PetscMalloc1(buf_size_idxs_is,&recv_buffer_idxs_is);CHKERRQ(ierr); 3088 3089 /* get new tags for clean communications */ 3090 ierr = PetscObjectGetNewTag((PetscObject)mat,&tag_idxs);CHKERRQ(ierr); 3091 ierr = PetscObjectGetNewTag((PetscObject)mat,&tag_vals);CHKERRQ(ierr); 3092 ierr = PetscObjectGetNewTag((PetscObject)mat,&tag_idxs_is);CHKERRQ(ierr); 3093 3094 /* allocate for requests */ 3095 ierr = PetscMalloc1(n_sends,&send_req_idxs);CHKERRQ(ierr); 3096 ierr = PetscMalloc1(n_sends,&send_req_vals);CHKERRQ(ierr); 3097 ierr = PetscMalloc1(n_sends,&send_req_idxs_is);CHKERRQ(ierr); 3098 ierr = PetscMalloc1(n_recvs,&recv_req_idxs);CHKERRQ(ierr); 3099 ierr = PetscMalloc1(n_recvs,&recv_req_vals);CHKERRQ(ierr); 3100 ierr = PetscMalloc1(n_recvs,&recv_req_idxs_is);CHKERRQ(ierr); 3101 3102 /* communications */ 3103 ptr_idxs = recv_buffer_idxs; 3104 ptr_vals = recv_buffer_vals; 3105 ptr_idxs_is = recv_buffer_idxs_is; 3106 for (i=0;i<n_recvs;i++) { 3107 source_dest = onodes[i]; 3108 ierr = MPI_Irecv(ptr_idxs,olengths_idxs[i],MPIU_INT,source_dest,tag_idxs,comm,&recv_req_idxs[i]);CHKERRQ(ierr); 3109 ierr = MPI_Irecv(ptr_vals,olengths_vals[i],MPIU_SCALAR,source_dest,tag_vals,comm,&recv_req_vals[i]);CHKERRQ(ierr); 3110 ptr_idxs += olengths_idxs[i]; 3111 ptr_vals += olengths_vals[i]; 3112 if (nis) { 3113 ierr = MPI_Irecv(ptr_idxs_is,olengths_idxs_is[i],MPIU_INT,source_dest,tag_idxs_is,comm,&recv_req_idxs_is[i]);CHKERRQ(ierr); 3114 ptr_idxs_is += olengths_idxs_is[i]; 3115 } 3116 } 3117 for (i=0;i<n_sends;i++) { 3118 ierr = PetscMPIIntCast(is_indices[i],&source_dest);CHKERRQ(ierr); 3119 ierr = MPI_Isend(send_buffer_idxs,ilengths_idxs[source_dest],MPIU_INT,source_dest,tag_idxs,comm,&send_req_idxs[i]);CHKERRQ(ierr); 3120 ierr = MPI_Isend(send_buffer_vals,ilengths_vals[source_dest],MPIU_SCALAR,source_dest,tag_vals,comm,&send_req_vals[i]);CHKERRQ(ierr); 3121 if (nis) { 3122 ierr = MPI_Isend(send_buffer_idxs_is,ilengths_idxs_is[source_dest],MPIU_INT,source_dest,tag_idxs_is,comm,&send_req_idxs_is[i]);CHKERRQ(ierr); 3123 } 3124 } 3125 ierr = ISRestoreIndices(is_sends_internal,&is_indices);CHKERRQ(ierr); 3126 ierr = ISDestroy(&is_sends_internal);CHKERRQ(ierr); 3127 3128 /* assemble new l2g map */ 3129 ierr = MPI_Waitall(n_recvs,recv_req_idxs,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3130 ptr_idxs = recv_buffer_idxs; 3131 buf_size_idxs = 0; 3132 for (i=0;i<n_recvs;i++) { 3133 buf_size_idxs += *(ptr_idxs+1); /* second element is the local size of the l2gmap */ 3134 ptr_idxs += olengths_idxs[i]; 3135 } 3136 ierr = PetscMalloc1(buf_size_idxs,&l2gmap_indices);CHKERRQ(ierr); 3137 ptr_idxs = recv_buffer_idxs; 3138 buf_size_idxs = 0; 3139 for (i=0;i<n_recvs;i++) { 3140 ierr = PetscMemcpy(&l2gmap_indices[buf_size_idxs],ptr_idxs+2,(*(ptr_idxs+1))*sizeof(PetscInt));CHKERRQ(ierr); 3141 buf_size_idxs += *(ptr_idxs+1); /* second element is the local size of the l2gmap */ 3142 ptr_idxs += olengths_idxs[i]; 3143 } 3144 ierr = PetscSortRemoveDupsInt(&buf_size_idxs,l2gmap_indices);CHKERRQ(ierr); 3145 ierr = ISLocalToGlobalMappingCreate(comm_n,1,buf_size_idxs,l2gmap_indices,PETSC_COPY_VALUES,&l2gmap);CHKERRQ(ierr); 3146 ierr = PetscFree(l2gmap_indices);CHKERRQ(ierr); 3147 3148 /* infer new local matrix type from received local matrices type */ 3149 /* currently if all local matrices are of type X, then the resulting matrix will be of type X, except for the dense case */ 3150 /* it also assumes that if the block size is set, than it is the same among all local matrices (see checks at the beginning of the function) */ 3151 if (n_recvs) { 3152 MatTypePrivate new_local_type_private = (MatTypePrivate)send_buffer_idxs[0]; 3153 ptr_idxs = recv_buffer_idxs; 3154 for (i=0;i<n_recvs;i++) { 3155 if ((PetscInt)new_local_type_private != *ptr_idxs) { 3156 new_local_type_private = MATAIJ_PRIVATE; 3157 break; 3158 } 3159 ptr_idxs += olengths_idxs[i]; 3160 } 3161 switch (new_local_type_private) { 3162 case MATDENSE_PRIVATE: 3163 if (n_recvs>1) { /* subassembling of dense matrices does not give a dense matrix! */ 3164 new_local_type = MATSEQAIJ; 3165 bs = 1; 3166 } else { /* if I receive only 1 dense matrix */ 3167 new_local_type = MATSEQDENSE; 3168 bs = 1; 3169 } 3170 break; 3171 case MATAIJ_PRIVATE: 3172 new_local_type = MATSEQAIJ; 3173 bs = 1; 3174 break; 3175 case MATBAIJ_PRIVATE: 3176 new_local_type = MATSEQBAIJ; 3177 break; 3178 case MATSBAIJ_PRIVATE: 3179 new_local_type = MATSEQSBAIJ; 3180 break; 3181 default: 3182 SETERRQ2(comm,PETSC_ERR_PLIB,"Unkwown private type %d in %s",new_local_type_private,__FUNCT__); 3183 break; 3184 } 3185 } else { /* by default, new_local_type is seqdense */ 3186 new_local_type = MATSEQDENSE; 3187 bs = 1; 3188 } 3189 3190 /* create MATIS object if needed */ 3191 if (reuse == MAT_INITIAL_MATRIX) { 3192 ierr = MatGetSize(mat,&rows,&cols);CHKERRQ(ierr); 3193 ierr = MatCreateIS(comm_n,bs,PETSC_DECIDE,PETSC_DECIDE,rows,cols,l2gmap,mat_n);CHKERRQ(ierr); 3194 } else { 3195 /* it also destroys the local matrices */ 3196 ierr = MatSetLocalToGlobalMapping(*mat_n,l2gmap,l2gmap);CHKERRQ(ierr); 3197 } 3198 ierr = ISLocalToGlobalMappingDestroy(&l2gmap);CHKERRQ(ierr); 3199 ierr = MatISGetLocalMat(*mat_n,&local_mat);CHKERRQ(ierr); 3200 ierr = MatSetType(local_mat,new_local_type);CHKERRQ(ierr); 3201 ierr = MatSetUp(local_mat);CHKERRQ(ierr); /* WARNING -> no preallocation yet */ 3202 3203 /* set values */ 3204 ierr = MPI_Waitall(n_recvs,recv_req_vals,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3205 ptr_vals = recv_buffer_vals; 3206 ptr_idxs = recv_buffer_idxs; 3207 for (i=0;i<n_recvs;i++) { 3208 if (*ptr_idxs == (PetscInt)MATDENSE_PRIVATE) { /* values insertion provided for dense case only */ 3209 ierr = MatSetOption(local_mat,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr); 3210 ierr = MatSetValues(*mat_n,*(ptr_idxs+1),ptr_idxs+2,*(ptr_idxs+1),ptr_idxs+2,ptr_vals,ADD_VALUES);CHKERRQ(ierr); 3211 ierr = MatAssemblyBegin(local_mat,MAT_FLUSH_ASSEMBLY);CHKERRQ(ierr); 3212 ierr = MatAssemblyEnd(local_mat,MAT_FLUSH_ASSEMBLY);CHKERRQ(ierr); 3213 ierr = MatSetOption(local_mat,MAT_ROW_ORIENTED,PETSC_TRUE);CHKERRQ(ierr); 3214 } else { 3215 /* TODO */ 3216 } 3217 ptr_idxs += olengths_idxs[i]; 3218 ptr_vals += olengths_vals[i]; 3219 } 3220 ierr = MatAssemblyBegin(local_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3221 ierr = MatAssemblyEnd(local_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3222 ierr = MatAssemblyBegin(*mat_n,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3223 ierr = MatAssemblyEnd(*mat_n,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3224 3225 #if 0 3226 if (!restrict_comm) { /* check */ 3227 Vec lvec,rvec; 3228 PetscReal infty_error; 3229 3230 ierr = MatCreateVecs(mat,&rvec,&lvec);CHKERRQ(ierr); 3231 ierr = VecSetRandom(rvec,NULL);CHKERRQ(ierr); 3232 ierr = MatMult(mat,rvec,lvec);CHKERRQ(ierr); 3233 ierr = VecScale(lvec,-1.0);CHKERRQ(ierr); 3234 ierr = MatMultAdd(*mat_n,rvec,lvec,lvec);CHKERRQ(ierr); 3235 ierr = VecNorm(lvec,NORM_INFINITY,&infty_error);CHKERRQ(ierr); 3236 ierr = PetscPrintf(PetscObjectComm((PetscObject)mat),"Infinity error subassembling %1.6e\n",infty_error); 3237 ierr = VecDestroy(&rvec);CHKERRQ(ierr); 3238 ierr = VecDestroy(&lvec);CHKERRQ(ierr); 3239 } 3240 #endif 3241 3242 /* assemble new additional is (if any) */ 3243 if (nis) { 3244 PetscInt **temp_idxs,*count_is,j,psum; 3245 3246 ierr = MPI_Waitall(n_recvs,recv_req_idxs_is,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3247 ierr = PetscMalloc(nis*sizeof(PetscInt),&count_is);CHKERRQ(ierr); 3248 ierr = PetscMemzero(count_is,nis*sizeof(PetscInt));CHKERRQ(ierr); 3249 ptr_idxs = recv_buffer_idxs_is; 3250 psum = 0; 3251 for (i=0;i<n_recvs;i++) { 3252 for (j=0;j<nis;j++) { 3253 PetscInt plen = *(ptr_idxs); /* first element is the local size of IS's indices */ 3254 count_is[j] += plen; /* increment counting of buffer for j-th IS */ 3255 psum += plen; 3256 ptr_idxs += plen+1; /* shift pointer to received data */ 3257 } 3258 } 3259 ierr = PetscMalloc(nis*sizeof(PetscInt*),&temp_idxs);CHKERRQ(ierr); 3260 ierr = PetscMalloc(psum*sizeof(PetscInt),&temp_idxs[0]);CHKERRQ(ierr); 3261 for (i=1;i<nis;i++) { 3262 temp_idxs[i] = temp_idxs[i-1]+count_is[i-1]; 3263 } 3264 ierr = PetscMemzero(count_is,nis*sizeof(PetscInt));CHKERRQ(ierr); 3265 ptr_idxs = recv_buffer_idxs_is; 3266 for (i=0;i<n_recvs;i++) { 3267 for (j=0;j<nis;j++) { 3268 PetscInt plen = *(ptr_idxs); /* first element is the local size of IS's indices */ 3269 ierr = PetscMemcpy(&temp_idxs[j][count_is[j]],ptr_idxs+1,plen*sizeof(PetscInt));CHKERRQ(ierr); 3270 count_is[j] += plen; /* increment starting point of buffer for j-th IS */ 3271 ptr_idxs += plen+1; /* shift pointer to received data */ 3272 } 3273 } 3274 for (i=0;i<nis;i++) { 3275 ierr = ISDestroy(&isarray[i]);CHKERRQ(ierr); 3276 ierr = PetscSortRemoveDupsInt(&count_is[i],temp_idxs[i]);CHKERRQ(ierr);CHKERRQ(ierr); 3277 ierr = ISCreateGeneral(comm_n,count_is[i],temp_idxs[i],PETSC_COPY_VALUES,&isarray[i]);CHKERRQ(ierr); 3278 } 3279 ierr = PetscFree(count_is);CHKERRQ(ierr); 3280 ierr = PetscFree(temp_idxs[0]);CHKERRQ(ierr); 3281 ierr = PetscFree(temp_idxs);CHKERRQ(ierr); 3282 } 3283 /* free workspace */ 3284 ierr = PetscFree(recv_buffer_idxs);CHKERRQ(ierr); 3285 ierr = PetscFree(recv_buffer_vals);CHKERRQ(ierr); 3286 ierr = PetscFree(recv_buffer_idxs_is);CHKERRQ(ierr); 3287 ierr = MPI_Waitall(n_sends,send_req_idxs,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3288 ierr = PetscFree(send_buffer_idxs);CHKERRQ(ierr); 3289 ierr = MPI_Waitall(n_sends,send_req_vals,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3290 if (isdense) { 3291 ierr = MatISGetLocalMat(mat,&local_mat);CHKERRQ(ierr); 3292 ierr = MatDenseRestoreArray(local_mat,&send_buffer_vals);CHKERRQ(ierr); 3293 } else { 3294 /* ierr = PetscFree(send_buffer_vals);CHKERRQ(ierr); */ 3295 } 3296 if (nis) { 3297 ierr = MPI_Waitall(n_sends,send_req_idxs_is,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3298 ierr = PetscFree(send_buffer_idxs_is);CHKERRQ(ierr); 3299 } 3300 ierr = PetscFree(recv_req_idxs);CHKERRQ(ierr); 3301 ierr = PetscFree(recv_req_vals);CHKERRQ(ierr); 3302 ierr = PetscFree(recv_req_idxs_is);CHKERRQ(ierr); 3303 ierr = PetscFree(send_req_idxs);CHKERRQ(ierr); 3304 ierr = PetscFree(send_req_vals);CHKERRQ(ierr); 3305 ierr = PetscFree(send_req_idxs_is);CHKERRQ(ierr); 3306 ierr = PetscFree(ilengths_vals);CHKERRQ(ierr); 3307 ierr = PetscFree(ilengths_idxs);CHKERRQ(ierr); 3308 ierr = PetscFree(olengths_vals);CHKERRQ(ierr); 3309 ierr = PetscFree(olengths_idxs);CHKERRQ(ierr); 3310 ierr = PetscFree(onodes);CHKERRQ(ierr); 3311 if (nis) { 3312 ierr = PetscFree(ilengths_idxs_is);CHKERRQ(ierr); 3313 ierr = PetscFree(olengths_idxs_is);CHKERRQ(ierr); 3314 ierr = PetscFree(onodes_is);CHKERRQ(ierr); 3315 } 3316 ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr); 3317 if (destroy_mat) { /* destroy mat is true only if restrict comm is true and process will not partecipate */ 3318 ierr = MatDestroy(mat_n);CHKERRQ(ierr); 3319 for (i=0;i<nis;i++) { 3320 ierr = ISDestroy(&isarray[i]);CHKERRQ(ierr); 3321 } 3322 } 3323 PetscFunctionReturn(0); 3324 } 3325 3326 /* temporary hack into ksp private data structure */ 3327 #include <petsc-private/kspimpl.h> 3328 3329 #undef __FUNCT__ 3330 #define __FUNCT__ "PCBDDCSetUpCoarseSolver" 3331 PetscErrorCode PCBDDCSetUpCoarseSolver(PC pc,PetscScalar* coarse_submat_vals) 3332 { 3333 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 3334 PC_IS *pcis = (PC_IS*)pc->data; 3335 Mat coarse_mat,coarse_mat_is,coarse_submat_dense; 3336 MatNullSpace CoarseNullSpace=NULL; 3337 ISLocalToGlobalMapping coarse_islg; 3338 IS coarse_is,*isarray; 3339 PetscInt i,im_active=-1,active_procs=-1; 3340 PetscInt nis,nisdofs,nisneu; 3341 PC pc_temp; 3342 PCType coarse_pc_type; 3343 KSPType coarse_ksp_type; 3344 PetscBool multilevel_requested,multilevel_allowed; 3345 PetscBool isredundant,isbddc,isnn,coarse_reuse; 3346 Mat t_coarse_mat_is; 3347 PetscInt void_procs,ncoarse_ml,ncoarse_ds,ncoarse; 3348 PetscMPIInt all_procs; 3349 PetscBool csin_ml,csin_ds,csin,csin_type_simple; 3350 PetscBool compute_vecs = PETSC_FALSE; 3351 PetscErrorCode ierr; 3352 3353 PetscFunctionBegin; 3354 /* Assign global numbering to coarse dofs */ 3355 if (pcbddc->new_primal_space || pcbddc->coarse_size == -1) { /* a new primal space is present or it is the first initialization, so recompute global numbering */ 3356 compute_vecs = PETSC_TRUE; 3357 PetscInt ocoarse_size; 3358 ocoarse_size = pcbddc->coarse_size; 3359 ierr = PetscFree(pcbddc->global_primal_indices);CHKERRQ(ierr); 3360 ierr = PCBDDCComputePrimalNumbering(pc,&pcbddc->coarse_size,&pcbddc->global_primal_indices);CHKERRQ(ierr); 3361 /* see if we can avoid some work */ 3362 if (pcbddc->coarse_ksp) { /* coarse ksp has already been created */ 3363 if (ocoarse_size != pcbddc->coarse_size) { /* ...but with different size, so reset it and set reuse flag to false */ 3364 ierr = KSPReset(pcbddc->coarse_ksp);CHKERRQ(ierr); 3365 coarse_reuse = PETSC_FALSE; 3366 } else { /* we can safely reuse already computed coarse matrix */ 3367 coarse_reuse = PETSC_TRUE; 3368 } 3369 } else { /* there's no coarse ksp, so we need to create the coarse matrix too */ 3370 coarse_reuse = PETSC_FALSE; 3371 } 3372 /* reset any subassembling information */ 3373 ierr = ISDestroy(&pcbddc->coarse_subassembling);CHKERRQ(ierr); 3374 ierr = ISDestroy(&pcbddc->coarse_subassembling_init);CHKERRQ(ierr); 3375 } else { /* primal space is unchanged, so we can reuse coarse matrix */ 3376 coarse_reuse = PETSC_TRUE; 3377 } 3378 3379 /* count "active" (i.e. with positive local size) and "void" processes */ 3380 im_active = !!(pcis->n); 3381 ierr = MPI_Allreduce(&im_active,&active_procs,1,MPIU_INT,MPI_SUM,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 3382 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)pc),&all_procs);CHKERRQ(ierr); 3383 void_procs = all_procs-active_procs; 3384 csin_type_simple = PETSC_TRUE; 3385 if (pcbddc->current_level) { 3386 csin_ml = PETSC_TRUE; 3387 ncoarse_ml = void_procs; 3388 csin_ds = PETSC_TRUE; 3389 ncoarse_ds = void_procs; 3390 if (!void_procs) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"This should not happen"); 3391 } else { 3392 csin_ml = PETSC_FALSE; 3393 ncoarse_ml = all_procs; 3394 if (void_procs) { 3395 csin_ds = PETSC_TRUE; 3396 ncoarse_ds = void_procs; 3397 csin_type_simple = PETSC_FALSE; 3398 } else { 3399 csin_ds = PETSC_FALSE; 3400 ncoarse_ds = all_procs; 3401 } 3402 } 3403 3404 /* 3405 test if we can go multilevel: three conditions must be satisfied: 3406 - we have not exceeded the number of levels requested 3407 - we can actually subassemble the active processes 3408 - we can find a suitable number of MPI processes where we can place the subassembled problem 3409 */ 3410 multilevel_allowed = PETSC_FALSE; 3411 multilevel_requested = PETSC_FALSE; 3412 if (pcbddc->current_level < pcbddc->max_levels) { 3413 multilevel_requested = PETSC_TRUE; 3414 if (active_procs/pcbddc->coarsening_ratio < 2 || ncoarse_ml/pcbddc->coarsening_ratio < 2) { 3415 multilevel_allowed = PETSC_FALSE; 3416 } else { 3417 multilevel_allowed = PETSC_TRUE; 3418 } 3419 } 3420 /* determine number of process partecipating to coarse solver */ 3421 if (multilevel_allowed) { 3422 ncoarse = ncoarse_ml; 3423 csin = csin_ml; 3424 } else { 3425 ncoarse = ncoarse_ds; 3426 csin = csin_ds; 3427 } 3428 3429 /* creates temporary l2gmap and IS for coarse indexes */ 3430 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)pc),pcbddc->local_primal_size,pcbddc->global_primal_indices,PETSC_COPY_VALUES,&coarse_is);CHKERRQ(ierr); 3431 ierr = ISLocalToGlobalMappingCreateIS(coarse_is,&coarse_islg);CHKERRQ(ierr); 3432 3433 /* creates temporary MATIS object for coarse matrix */ 3434 ierr = MatCreateSeqDense(PETSC_COMM_SELF,pcbddc->local_primal_size,pcbddc->local_primal_size,coarse_submat_vals,&coarse_submat_dense);CHKERRQ(ierr); 3435 #if 0 3436 { 3437 PetscViewer viewer; 3438 char filename[256]; 3439 sprintf(filename,"local_coarse_mat%d.m",PetscGlobalRank); 3440 ierr = PetscViewerASCIIOpen(PETSC_COMM_SELF,filename,&viewer);CHKERRQ(ierr); 3441 ierr = PetscViewerSetFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 3442 ierr = MatView(coarse_submat_dense,viewer);CHKERRQ(ierr); 3443 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 3444 } 3445 #endif 3446 ierr = MatCreateIS(PetscObjectComm((PetscObject)pc),1,PETSC_DECIDE,PETSC_DECIDE,pcbddc->coarse_size,pcbddc->coarse_size,coarse_islg,&t_coarse_mat_is);CHKERRQ(ierr); 3447 ierr = MatISSetLocalMat(t_coarse_mat_is,coarse_submat_dense);CHKERRQ(ierr); 3448 ierr = MatAssemblyBegin(t_coarse_mat_is,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3449 ierr = MatAssemblyEnd(t_coarse_mat_is,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3450 ierr = MatDestroy(&coarse_submat_dense);CHKERRQ(ierr); 3451 3452 /* compute dofs splitting and neumann boundaries for coarse dofs */ 3453 if (multilevel_allowed && (pcbddc->n_ISForDofsLocal || pcbddc->NeumannBoundariesLocal) ) { /* protects from unneded computations */ 3454 PetscInt *tidxs,*tidxs2,nout,tsize,i; 3455 const PetscInt *idxs; 3456 ISLocalToGlobalMapping tmap; 3457 3458 /* create map between primal indices (in local representative ordering) and local primal numbering */ 3459 ierr = ISLocalToGlobalMappingCreate(PETSC_COMM_SELF,1,pcbddc->local_primal_size,pcbddc->primal_indices_local_idxs,PETSC_COPY_VALUES,&tmap);CHKERRQ(ierr); 3460 /* allocate space for temporary storage */ 3461 ierr = PetscMalloc(pcbddc->local_primal_size*sizeof(PetscInt),&tidxs);CHKERRQ(ierr); 3462 ierr = PetscMalloc(pcbddc->local_primal_size*sizeof(PetscInt),&tidxs2);CHKERRQ(ierr); 3463 /* allocate for IS array */ 3464 nisdofs = pcbddc->n_ISForDofsLocal; 3465 nisneu = !!pcbddc->NeumannBoundariesLocal; 3466 nis = nisdofs + nisneu; 3467 ierr = PetscMalloc(nis*sizeof(IS),&isarray);CHKERRQ(ierr); 3468 /* dofs splitting */ 3469 for (i=0;i<nisdofs;i++) { 3470 /* ierr = ISView(pcbddc->ISForDofsLocal[i],0);CHKERRQ(ierr); */ 3471 ierr = ISGetLocalSize(pcbddc->ISForDofsLocal[i],&tsize);CHKERRQ(ierr); 3472 ierr = ISGetIndices(pcbddc->ISForDofsLocal[i],&idxs);CHKERRQ(ierr); 3473 ierr = ISGlobalToLocalMappingApply(tmap,IS_GTOLM_DROP,tsize,idxs,&nout,tidxs);CHKERRQ(ierr); 3474 ierr = ISRestoreIndices(pcbddc->ISForDofsLocal[i],&idxs);CHKERRQ(ierr); 3475 ierr = ISLocalToGlobalMappingApply(coarse_islg,nout,tidxs,tidxs2);CHKERRQ(ierr); 3476 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)pcbddc->ISForDofsLocal[i]),nout,tidxs2,PETSC_COPY_VALUES,&isarray[i]);CHKERRQ(ierr); 3477 /* ierr = ISView(isarray[i],0);CHKERRQ(ierr); */ 3478 } 3479 /* neumann boundaries */ 3480 if (pcbddc->NeumannBoundariesLocal) { 3481 /* ierr = ISView(pcbddc->NeumannBoundariesLocal,0);CHKERRQ(ierr); */ 3482 ierr = ISGetLocalSize(pcbddc->NeumannBoundariesLocal,&tsize);CHKERRQ(ierr); 3483 ierr = ISGetIndices(pcbddc->NeumannBoundariesLocal,&idxs);CHKERRQ(ierr); 3484 ierr = ISGlobalToLocalMappingApply(tmap,IS_GTOLM_DROP,tsize,idxs,&nout,tidxs);CHKERRQ(ierr); 3485 ierr = ISRestoreIndices(pcbddc->NeumannBoundariesLocal,&idxs);CHKERRQ(ierr); 3486 ierr = ISLocalToGlobalMappingApply(coarse_islg,nout,tidxs,tidxs2);CHKERRQ(ierr); 3487 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)pcbddc->NeumannBoundariesLocal),nout,tidxs2,PETSC_COPY_VALUES,&isarray[nisdofs]);CHKERRQ(ierr); 3488 /* ierr = ISView(isarray[nisdofs],0);CHKERRQ(ierr); */ 3489 } 3490 /* free memory */ 3491 ierr = PetscFree(tidxs);CHKERRQ(ierr); 3492 ierr = PetscFree(tidxs2);CHKERRQ(ierr); 3493 ierr = ISLocalToGlobalMappingDestroy(&tmap);CHKERRQ(ierr); 3494 } else { 3495 nis = 0; 3496 nisdofs = 0; 3497 nisneu = 0; 3498 isarray = NULL; 3499 } 3500 /* destroy no longer needed map */ 3501 ierr = ISLocalToGlobalMappingDestroy(&coarse_islg);CHKERRQ(ierr); 3502 3503 /* restrict on coarse candidates (if needed) */ 3504 coarse_mat_is = NULL; 3505 if (csin) { 3506 if (!pcbddc->coarse_subassembling_init ) { /* creates subassembling init pattern if not present */ 3507 PetscInt j,tissize,*nisindices; 3508 PetscInt *coarse_candidates; 3509 const PetscInt* tisindices; 3510 /* get coarse candidates' ranks in pc communicator */ 3511 ierr = PetscMalloc(all_procs*sizeof(PetscInt),&coarse_candidates);CHKERRQ(ierr); 3512 ierr = MPI_Allgather(&im_active,1,MPIU_INT,coarse_candidates,1,MPIU_INT,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 3513 for (i=0,j=0;i<all_procs;i++) { 3514 if (!coarse_candidates[i]) { 3515 coarse_candidates[j]=i; 3516 j++; 3517 } 3518 } 3519 if (j < ncoarse) SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"This should not happen! %d < %d",j,ncoarse); 3520 /* get a suitable subassembling pattern */ 3521 if (csin_type_simple) { 3522 PetscMPIInt rank; 3523 PetscInt issize,isidx; 3524 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)pc),&rank);CHKERRQ(ierr); 3525 if (im_active) { 3526 issize = 1; 3527 isidx = (PetscInt)rank; 3528 } else { 3529 issize = 0; 3530 isidx = -1; 3531 } 3532 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)pc),issize,&isidx,PETSC_COPY_VALUES,&pcbddc->coarse_subassembling_init);CHKERRQ(ierr); 3533 } else { 3534 ierr = MatISGetSubassemblingPattern(t_coarse_mat_is,ncoarse,PETSC_TRUE,&pcbddc->coarse_subassembling_init);CHKERRQ(ierr); 3535 } 3536 if (pcbddc->dbg_flag) { 3537 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3538 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Subassembling pattern init (before shift)\n");CHKERRQ(ierr); 3539 ierr = ISView(pcbddc->coarse_subassembling_init,pcbddc->dbg_viewer);CHKERRQ(ierr); 3540 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Coarse candidates\n");CHKERRQ(ierr); 3541 for (i=0;i<j;i++) { 3542 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"%d ",coarse_candidates[i]);CHKERRQ(ierr); 3543 } 3544 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"\n");CHKERRQ(ierr); 3545 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3546 } 3547 /* shift the pattern on coarse candidates */ 3548 ierr = ISGetLocalSize(pcbddc->coarse_subassembling_init,&tissize);CHKERRQ(ierr); 3549 ierr = ISGetIndices(pcbddc->coarse_subassembling_init,&tisindices);CHKERRQ(ierr); 3550 ierr = PetscMalloc(tissize*sizeof(PetscInt),&nisindices);CHKERRQ(ierr); 3551 for (i=0;i<tissize;i++) nisindices[i] = coarse_candidates[tisindices[i]]; 3552 ierr = ISRestoreIndices(pcbddc->coarse_subassembling_init,&tisindices);CHKERRQ(ierr); 3553 ierr = ISGeneralSetIndices(pcbddc->coarse_subassembling_init,tissize,nisindices,PETSC_OWN_POINTER);CHKERRQ(ierr); 3554 ierr = PetscFree(coarse_candidates);CHKERRQ(ierr); 3555 } 3556 if (pcbddc->dbg_flag) { 3557 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3558 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Subassembling pattern init\n");CHKERRQ(ierr); 3559 ierr = ISView(pcbddc->coarse_subassembling_init,pcbddc->dbg_viewer);CHKERRQ(ierr); 3560 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3561 } 3562 /* get temporary coarse mat in IS format restricted on coarse procs (plus additional index sets of isarray) */ 3563 ierr = MatISSubassemble(t_coarse_mat_is,pcbddc->coarse_subassembling_init,0,PETSC_TRUE,MAT_INITIAL_MATRIX,&coarse_mat_is,nis,isarray);CHKERRQ(ierr); 3564 } else { 3565 if (pcbddc->dbg_flag) { 3566 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3567 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Subassembling pattern init not needed\n");CHKERRQ(ierr); 3568 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3569 } 3570 ierr = PetscObjectReference((PetscObject)t_coarse_mat_is);CHKERRQ(ierr); 3571 coarse_mat_is = t_coarse_mat_is; 3572 } 3573 3574 /* create local to global scatters for coarse problem */ 3575 if (compute_vecs) { 3576 PetscInt lrows; 3577 ierr = VecDestroy(&pcbddc->coarse_vec);CHKERRQ(ierr); 3578 if (coarse_mat_is) { 3579 ierr = MatGetLocalSize(coarse_mat_is,&lrows,NULL);CHKERRQ(ierr); 3580 } else { 3581 lrows = 0; 3582 } 3583 ierr = VecCreate(PetscObjectComm((PetscObject)pc),&pcbddc->coarse_vec);CHKERRQ(ierr); 3584 ierr = VecSetSizes(pcbddc->coarse_vec,lrows,PETSC_DECIDE);CHKERRQ(ierr); 3585 ierr = VecSetType(pcbddc->coarse_vec,VECSTANDARD);CHKERRQ(ierr); 3586 ierr = VecScatterDestroy(&pcbddc->coarse_loc_to_glob);CHKERRQ(ierr); 3587 ierr = VecScatterCreate(pcbddc->vec1_P,NULL,pcbddc->coarse_vec,coarse_is,&pcbddc->coarse_loc_to_glob);CHKERRQ(ierr); 3588 } 3589 ierr = ISDestroy(&coarse_is);CHKERRQ(ierr); 3590 ierr = MatDestroy(&t_coarse_mat_is);CHKERRQ(ierr); 3591 3592 /* set defaults for coarse KSP and PC */ 3593 if (multilevel_allowed) { 3594 coarse_ksp_type = KSPRICHARDSON; 3595 coarse_pc_type = PCBDDC; 3596 } else { 3597 coarse_ksp_type = KSPPREONLY; 3598 coarse_pc_type = PCREDUNDANT; 3599 } 3600 3601 /* print some info if requested */ 3602 if (pcbddc->dbg_flag) { 3603 if (!multilevel_allowed) { 3604 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3605 if (multilevel_requested) { 3606 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Not enough active processes on level %d (active processes %d, coarsening ratio %d)\n",pcbddc->current_level,active_procs,pcbddc->coarsening_ratio);CHKERRQ(ierr); 3607 } else if (pcbddc->max_levels) { 3608 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Maximum number of requested levels reached (%d)\n",pcbddc->max_levels);CHKERRQ(ierr); 3609 } 3610 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3611 } 3612 } 3613 3614 /* create the coarse KSP object only once with defaults */ 3615 if (coarse_mat_is) { 3616 MatReuse coarse_mat_reuse; 3617 PetscViewer dbg_viewer = NULL; 3618 if (pcbddc->dbg_flag) { 3619 dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)coarse_mat_is)); 3620 ierr = PetscViewerASCIIAddTab(dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr); 3621 } 3622 if (!pcbddc->coarse_ksp) { 3623 char prefix[256],str_level[16]; 3624 size_t len; 3625 ierr = KSPCreate(PetscObjectComm((PetscObject)coarse_mat_is),&pcbddc->coarse_ksp);CHKERRQ(ierr); 3626 ierr = PetscObjectIncrementTabLevel((PetscObject)pcbddc->coarse_ksp,(PetscObject)pc,1);CHKERRQ(ierr); 3627 ierr = KSPSetTolerances(pcbddc->coarse_ksp,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT,1);CHKERRQ(ierr); 3628 ierr = KSPSetOperators(pcbddc->coarse_ksp,coarse_mat_is,coarse_mat_is);CHKERRQ(ierr); 3629 ierr = KSPSetType(pcbddc->coarse_ksp,coarse_ksp_type);CHKERRQ(ierr); 3630 ierr = KSPSetNormType(pcbddc->coarse_ksp,KSP_NORM_NONE);CHKERRQ(ierr); 3631 ierr = KSPGetPC(pcbddc->coarse_ksp,&pc_temp);CHKERRQ(ierr); 3632 ierr = PCSetType(pc_temp,coarse_pc_type);CHKERRQ(ierr); 3633 /* prefix */ 3634 ierr = PetscStrcpy(prefix,"");CHKERRQ(ierr); 3635 ierr = PetscStrcpy(str_level,"");CHKERRQ(ierr); 3636 if (!pcbddc->current_level) { 3637 ierr = PetscStrcpy(prefix,((PetscObject)pc)->prefix);CHKERRQ(ierr); 3638 ierr = PetscStrcat(prefix,"pc_bddc_coarse_");CHKERRQ(ierr); 3639 } else { 3640 ierr = PetscStrlen(((PetscObject)pc)->prefix,&len);CHKERRQ(ierr); 3641 if (pcbddc->current_level>1) len -= 3; /* remove "lX_" with X level number */ 3642 if (pcbddc->current_level>10) len -= 1; /* remove another char from level number */ 3643 ierr = PetscStrncpy(prefix,((PetscObject)pc)->prefix,len+1);CHKERRQ(ierr); 3644 sprintf(str_level,"l%d_",(int)(pcbddc->current_level)); 3645 ierr = PetscStrcat(prefix,str_level);CHKERRQ(ierr); 3646 } 3647 ierr = KSPSetOptionsPrefix(pcbddc->coarse_ksp,prefix);CHKERRQ(ierr); 3648 /* allow user customization */ 3649 ierr = KSPSetFromOptions(pcbddc->coarse_ksp);CHKERRQ(ierr); 3650 ierr = PCFactorSetReuseFill(pc_temp,PETSC_TRUE);CHKERRQ(ierr); 3651 } 3652 3653 /* get some info after set from options */ 3654 ierr = KSPGetPC(pcbddc->coarse_ksp,&pc_temp);CHKERRQ(ierr); 3655 ierr = PetscObjectTypeCompare((PetscObject)pc_temp,PCNN,&isnn);CHKERRQ(ierr); 3656 ierr = PetscObjectTypeCompare((PetscObject)pc_temp,PCBDDC,&isbddc);CHKERRQ(ierr); 3657 ierr = PetscObjectTypeCompare((PetscObject)pc_temp,PCREDUNDANT,&isredundant);CHKERRQ(ierr); 3658 if (isbddc && !multilevel_allowed) { /* multilevel can only be requested via pc_bddc_set_levels */ 3659 ierr = PCSetType(pc_temp,coarse_pc_type);CHKERRQ(ierr); 3660 isbddc = PETSC_FALSE; 3661 } 3662 if (isredundant) { 3663 KSP inner_ksp; 3664 PC inner_pc; 3665 ierr = PCRedundantGetKSP(pc_temp,&inner_ksp);CHKERRQ(ierr); 3666 ierr = KSPGetPC(inner_ksp,&inner_pc);CHKERRQ(ierr); 3667 ierr = PCFactorSetReuseFill(inner_pc,PETSC_TRUE);CHKERRQ(ierr); 3668 } 3669 3670 /* propagate BDDC info to the next level (these are dummy calls if pc_temp is not of type PCBDDC) */ 3671 ierr = PCBDDCSetLevel(pc_temp,pcbddc->current_level+1);CHKERRQ(ierr); 3672 ierr = PCBDDCSetCoarseningRatio(pc_temp,pcbddc->coarsening_ratio);CHKERRQ(ierr); 3673 ierr = PCBDDCSetLevels(pc_temp,pcbddc->max_levels);CHKERRQ(ierr); 3674 if (nisdofs) { 3675 ierr = PCBDDCSetDofsSplitting(pc_temp,nisdofs,isarray);CHKERRQ(ierr); 3676 for (i=0;i<nisdofs;i++) { 3677 ierr = ISDestroy(&isarray[i]);CHKERRQ(ierr); 3678 } 3679 } 3680 if (nisneu) { 3681 ierr = PCBDDCSetNeumannBoundaries(pc_temp,isarray[nisdofs]);CHKERRQ(ierr); 3682 ierr = ISDestroy(&isarray[nisdofs]);CHKERRQ(ierr); 3683 } 3684 3685 /* assemble coarse matrix */ 3686 if (coarse_reuse) { 3687 ierr = KSPGetOperators(pcbddc->coarse_ksp,&coarse_mat,NULL);CHKERRQ(ierr); 3688 ierr = PetscObjectReference((PetscObject)coarse_mat);CHKERRQ(ierr); 3689 coarse_mat_reuse = MAT_REUSE_MATRIX; 3690 } else { 3691 coarse_mat_reuse = MAT_INITIAL_MATRIX; 3692 } 3693 if (isbddc || isnn) { 3694 if (!pcbddc->coarse_subassembling) { /* subassembling info is not present */ 3695 ierr = MatISGetSubassemblingPattern(coarse_mat_is,active_procs/pcbddc->coarsening_ratio,PETSC_TRUE,&pcbddc->coarse_subassembling);CHKERRQ(ierr); 3696 if (pcbddc->dbg_flag) { 3697 ierr = PetscViewerASCIIPrintf(dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3698 ierr = PetscViewerASCIIPrintf(dbg_viewer,"Subassembling pattern\n");CHKERRQ(ierr); 3699 ierr = ISView(pcbddc->coarse_subassembling,dbg_viewer);CHKERRQ(ierr); 3700 ierr = PetscViewerFlush(dbg_viewer);CHKERRQ(ierr); 3701 } 3702 } 3703 ierr = MatISSubassemble(coarse_mat_is,pcbddc->coarse_subassembling,0,PETSC_FALSE,coarse_mat_reuse,&coarse_mat,0,NULL);CHKERRQ(ierr); 3704 } else { 3705 ierr = MatISGetMPIXAIJ(coarse_mat_is,coarse_mat_reuse,&coarse_mat);CHKERRQ(ierr); 3706 } 3707 ierr = MatDestroy(&coarse_mat_is);CHKERRQ(ierr); 3708 3709 /* propagate symmetry info to coarse matrix */ 3710 ierr = MatSetOption(coarse_mat,MAT_SYMMETRIC,pcbddc->issym);CHKERRQ(ierr); 3711 ierr = MatSetOption(coarse_mat,MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr); 3712 3713 /* set operators */ 3714 ierr = KSPSetOperators(pcbddc->coarse_ksp,coarse_mat,coarse_mat);CHKERRQ(ierr); 3715 if (pcbddc->dbg_flag) { 3716 ierr = PetscViewerASCIISubtractTab(dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr); 3717 } 3718 } else { /* processes non partecipating to coarse solver (if any) */ 3719 coarse_mat = 0; 3720 } 3721 ierr = PetscFree(isarray);CHKERRQ(ierr); 3722 #if 0 3723 { 3724 PetscViewer viewer; 3725 char filename[256]; 3726 sprintf(filename,"coarse_mat.m"); 3727 ierr = PetscViewerASCIIOpen(PETSC_COMM_WORLD,filename,&viewer);CHKERRQ(ierr); 3728 ierr = PetscViewerSetFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 3729 ierr = MatView(coarse_mat,viewer);CHKERRQ(ierr); 3730 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 3731 } 3732 #endif 3733 3734 /* Compute coarse null space (special handling by BDDC only) */ 3735 if (pcbddc->NullSpace) { 3736 ierr = PCBDDCNullSpaceAssembleCoarse(pc,coarse_mat,&CoarseNullSpace);CHKERRQ(ierr); 3737 } 3738 3739 if (pcbddc->coarse_ksp) { 3740 Vec crhs,csol; 3741 PetscBool ispreonly; 3742 if (CoarseNullSpace) { 3743 if (isbddc) { 3744 ierr = PCBDDCSetNullSpace(pc_temp,CoarseNullSpace);CHKERRQ(ierr); 3745 } else { 3746 ierr = KSPSetNullSpace(pcbddc->coarse_ksp,CoarseNullSpace);CHKERRQ(ierr); 3747 } 3748 } 3749 /* setup coarse ksp */ 3750 ierr = KSPSetUp(pcbddc->coarse_ksp);CHKERRQ(ierr); 3751 ierr = KSPGetSolution(pcbddc->coarse_ksp,&csol);CHKERRQ(ierr); 3752 ierr = KSPGetRhs(pcbddc->coarse_ksp,&crhs);CHKERRQ(ierr); 3753 /* hack */ 3754 if (!csol) { 3755 ierr = MatCreateVecs(coarse_mat,&((pcbddc->coarse_ksp)->vec_sol),NULL);CHKERRQ(ierr); 3756 } 3757 if (!crhs) { 3758 ierr = MatCreateVecs(coarse_mat,NULL,&((pcbddc->coarse_ksp)->vec_rhs));CHKERRQ(ierr); 3759 } 3760 /* Check coarse problem if in debug mode or if solving with an iterative method */ 3761 ierr = PetscObjectTypeCompare((PetscObject)pcbddc->coarse_ksp,KSPPREONLY,&ispreonly);CHKERRQ(ierr); 3762 if (pcbddc->dbg_flag || (!ispreonly && pcbddc->use_coarse_estimates) ) { 3763 KSP check_ksp; 3764 KSPType check_ksp_type; 3765 PC check_pc; 3766 Vec check_vec,coarse_vec; 3767 PetscReal abs_infty_error,infty_error,lambda_min=1.0,lambda_max=1.0; 3768 PetscInt its; 3769 PetscBool compute_eigs; 3770 PetscReal *eigs_r,*eigs_c; 3771 PetscInt neigs; 3772 const char *prefix; 3773 3774 /* Create ksp object suitable for estimation of extreme eigenvalues */ 3775 ierr = KSPCreate(PetscObjectComm((PetscObject)pcbddc->coarse_ksp),&check_ksp);CHKERRQ(ierr); 3776 ierr = KSPSetOperators(check_ksp,coarse_mat,coarse_mat);CHKERRQ(ierr); 3777 ierr = KSPSetTolerances(check_ksp,1.e-12,1.e-12,PETSC_DEFAULT,pcbddc->coarse_size);CHKERRQ(ierr); 3778 if (ispreonly) { 3779 check_ksp_type = KSPPREONLY; 3780 compute_eigs = PETSC_FALSE; 3781 } else { 3782 check_ksp_type = KSPGMRES; 3783 compute_eigs = PETSC_TRUE; 3784 } 3785 ierr = KSPSetType(check_ksp,check_ksp_type);CHKERRQ(ierr); 3786 ierr = KSPSetComputeSingularValues(check_ksp,compute_eigs);CHKERRQ(ierr); 3787 ierr = KSPSetComputeEigenvalues(check_ksp,compute_eigs);CHKERRQ(ierr); 3788 ierr = KSPGMRESSetRestart(check_ksp,pcbddc->coarse_size+1);CHKERRQ(ierr); 3789 ierr = KSPGetOptionsPrefix(pcbddc->coarse_ksp,&prefix);CHKERRQ(ierr); 3790 ierr = KSPSetOptionsPrefix(check_ksp,prefix);CHKERRQ(ierr); 3791 ierr = KSPAppendOptionsPrefix(check_ksp,"check_");CHKERRQ(ierr); 3792 ierr = KSPSetFromOptions(check_ksp);CHKERRQ(ierr); 3793 ierr = KSPSetUp(check_ksp);CHKERRQ(ierr); 3794 ierr = KSPGetPC(pcbddc->coarse_ksp,&check_pc);CHKERRQ(ierr); 3795 ierr = KSPSetPC(check_ksp,check_pc);CHKERRQ(ierr); 3796 /* create random vec */ 3797 ierr = KSPGetSolution(pcbddc->coarse_ksp,&coarse_vec);CHKERRQ(ierr); 3798 ierr = VecDuplicate(coarse_vec,&check_vec);CHKERRQ(ierr); 3799 ierr = VecSetRandom(check_vec,NULL);CHKERRQ(ierr); 3800 if (CoarseNullSpace) { 3801 ierr = MatNullSpaceRemove(CoarseNullSpace,check_vec);CHKERRQ(ierr); 3802 } 3803 ierr = MatMult(coarse_mat,check_vec,coarse_vec);CHKERRQ(ierr); 3804 /* solve coarse problem */ 3805 ierr = KSPSolve(check_ksp,coarse_vec,coarse_vec);CHKERRQ(ierr); 3806 if (CoarseNullSpace) { 3807 ierr = MatNullSpaceRemove(CoarseNullSpace,coarse_vec);CHKERRQ(ierr); 3808 } 3809 /* set eigenvalue estimation if preonly has not been requested */ 3810 if (compute_eigs) { 3811 ierr = PetscMalloc((pcbddc->coarse_size+1)*sizeof(PetscReal),&eigs_r);CHKERRQ(ierr); 3812 ierr = PetscMalloc((pcbddc->coarse_size+1)*sizeof(PetscReal),&eigs_c);CHKERRQ(ierr); 3813 ierr = KSPComputeEigenvalues(check_ksp,pcbddc->coarse_size+1,eigs_r,eigs_c,&neigs);CHKERRQ(ierr); 3814 lambda_max = eigs_r[neigs-1]; 3815 lambda_min = eigs_r[0]; 3816 if (pcbddc->use_coarse_estimates) { 3817 if (lambda_max>lambda_min) { 3818 ierr = KSPChebyshevSetEigenvalues(pcbddc->coarse_ksp,lambda_max,lambda_min);CHKERRQ(ierr); 3819 ierr = KSPRichardsonSetScale(pcbddc->coarse_ksp,2.0/(lambda_max+lambda_min));CHKERRQ(ierr); 3820 } 3821 } 3822 } 3823 3824 /* check coarse problem residual error */ 3825 if (pcbddc->dbg_flag) { 3826 PetscViewer dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pcbddc->coarse_ksp)); 3827 ierr = PetscViewerASCIIAddTab(dbg_viewer,2*(pcbddc->current_level+1));CHKERRQ(ierr); 3828 ierr = VecAXPY(check_vec,-1.0,coarse_vec);CHKERRQ(ierr); 3829 ierr = VecNorm(check_vec,NORM_INFINITY,&infty_error);CHKERRQ(ierr); 3830 ierr = MatMult(coarse_mat,check_vec,coarse_vec);CHKERRQ(ierr); 3831 ierr = VecNorm(coarse_vec,NORM_INFINITY,&abs_infty_error);CHKERRQ(ierr); 3832 ierr = VecDestroy(&check_vec);CHKERRQ(ierr); 3833 ierr = PetscViewerASCIIPrintf(dbg_viewer,"Coarse problem details (%d)\n",pcbddc->use_coarse_estimates);CHKERRQ(ierr); 3834 ierr = PetscObjectPrintClassNamePrefixType((PetscObject)(pcbddc->coarse_ksp),dbg_viewer);CHKERRQ(ierr); 3835 ierr = PetscObjectPrintClassNamePrefixType((PetscObject)(check_pc),dbg_viewer);CHKERRQ(ierr); 3836 ierr = PetscViewerASCIIPrintf(dbg_viewer,"Coarse problem exact infty_error : %1.6e\n",infty_error);CHKERRQ(ierr); 3837 ierr = PetscViewerASCIIPrintf(dbg_viewer,"Coarse problem residual infty_error: %1.6e\n",abs_infty_error);CHKERRQ(ierr); 3838 if (compute_eigs) { 3839 PetscReal lambda_max_s,lambda_min_s; 3840 ierr = KSPGetType(check_ksp,&check_ksp_type);CHKERRQ(ierr); 3841 ierr = KSPGetIterationNumber(check_ksp,&its);CHKERRQ(ierr); 3842 ierr = KSPComputeExtremeSingularValues(check_ksp,&lambda_max_s,&lambda_min_s);CHKERRQ(ierr); 3843 ierr = PetscViewerASCIIPrintf(dbg_viewer,"Coarse problem eigenvalues (estimated with %d iterations of %s): %1.6e %1.6e (%1.6e %1.6e)\n",its,check_ksp_type,lambda_min,lambda_max,lambda_min_s,lambda_max_s);CHKERRQ(ierr); 3844 for (i=0;i<neigs;i++) { 3845 ierr = PetscViewerASCIIPrintf(dbg_viewer,"%1.6e %1.6ei\n",eigs_r[i],eigs_c[i]);CHKERRQ(ierr); 3846 } 3847 } 3848 ierr = PetscViewerFlush(dbg_viewer);CHKERRQ(ierr); 3849 ierr = PetscViewerASCIISubtractTab(dbg_viewer,2*(pcbddc->current_level+1));CHKERRQ(ierr); 3850 } 3851 ierr = KSPDestroy(&check_ksp);CHKERRQ(ierr); 3852 if (compute_eigs) { 3853 ierr = PetscFree(eigs_r);CHKERRQ(ierr); 3854 ierr = PetscFree(eigs_c);CHKERRQ(ierr); 3855 } 3856 } 3857 } 3858 /* print additional info */ 3859 if (pcbddc->dbg_flag) { 3860 /* waits until all processes reaches this point */ 3861 ierr = PetscBarrier((PetscObject)pc);CHKERRQ(ierr); 3862 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Coarse solver setup completed at level %d\n",pcbddc->current_level);CHKERRQ(ierr); 3863 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3864 } 3865 3866 /* free memory */ 3867 ierr = MatNullSpaceDestroy(&CoarseNullSpace);CHKERRQ(ierr); 3868 ierr = MatDestroy(&coarse_mat);CHKERRQ(ierr); 3869 PetscFunctionReturn(0); 3870 } 3871 3872 #undef __FUNCT__ 3873 #define __FUNCT__ "PCBDDCComputePrimalNumbering" 3874 PetscErrorCode PCBDDCComputePrimalNumbering(PC pc,PetscInt* coarse_size_n,PetscInt** local_primal_indices_n) 3875 { 3876 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 3877 PC_IS* pcis = (PC_IS*)pc->data; 3878 Mat_IS* matis = (Mat_IS*)pc->pmat->data; 3879 PetscInt i,coarse_size; 3880 PetscInt *local_primal_indices; 3881 PetscErrorCode ierr; 3882 3883 PetscFunctionBegin; 3884 /* Compute global number of coarse dofs */ 3885 if (!pcbddc->primal_indices_local_idxs && pcbddc->local_primal_size) { 3886 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"BDDC Local primal indices have not been created"); 3887 } 3888 ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)(pc->pmat)),matis->mapping,pcbddc->local_primal_size,pcbddc->primal_indices_local_idxs,NULL,&coarse_size,&local_primal_indices);CHKERRQ(ierr); 3889 3890 /* check numbering */ 3891 if (pcbddc->dbg_flag) { 3892 PetscScalar coarsesum,*array; 3893 PetscBool set_error = PETSC_FALSE,set_error_reduced = PETSC_FALSE; 3894 3895 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3896 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3897 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Check coarse indices\n");CHKERRQ(ierr); 3898 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 3899 ierr = VecSet(pcis->vec1_N,0.0);CHKERRQ(ierr); 3900 for (i=0;i<pcbddc->local_primal_size;i++) { 3901 ierr = VecSetValue(pcis->vec1_N,pcbddc->primal_indices_local_idxs[i],1.0,INSERT_VALUES);CHKERRQ(ierr); 3902 } 3903 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 3904 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 3905 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 3906 ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 3907 ierr = VecScatterEnd(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 3908 ierr = VecScatterBegin(matis->ctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 3909 ierr = VecScatterEnd(matis->ctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 3910 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 3911 for (i=0;i<pcis->n;i++) { 3912 if (array[i] == 1.0) { 3913 set_error = PETSC_TRUE; 3914 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d: local index %d owned by a single process!\n",PetscGlobalRank,i);CHKERRQ(ierr); 3915 } 3916 } 3917 ierr = MPI_Allreduce(&set_error,&set_error_reduced,1,MPIU_BOOL,MPI_LOR,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 3918 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3919 for (i=0;i<pcis->n;i++) { 3920 if (PetscRealPart(array[i]) > 0.0) array[i] = 1.0/PetscRealPart(array[i]); 3921 } 3922 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 3923 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 3924 ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 3925 ierr = VecScatterEnd(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 3926 ierr = VecSum(pcis->vec1_global,&coarsesum);CHKERRQ(ierr); 3927 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Size of coarse problem is %d (%lf)\n",coarse_size,PetscRealPart(coarsesum));CHKERRQ(ierr); 3928 if (pcbddc->dbg_flag > 1 || set_error_reduced) { 3929 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Distribution of local primal indices\n");CHKERRQ(ierr); 3930 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3931 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d\n",PetscGlobalRank);CHKERRQ(ierr); 3932 for (i=0;i<pcbddc->local_primal_size;i++) { 3933 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local_primal_indices[%d]=%d (%d)\n",i,local_primal_indices[i],pcbddc->primal_indices_local_idxs[i]); 3934 } 3935 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3936 } 3937 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3938 if (set_error_reduced) { 3939 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"BDDC Numbering of coarse dofs failed"); 3940 } 3941 } 3942 /* get back data */ 3943 *coarse_size_n = coarse_size; 3944 *local_primal_indices_n = local_primal_indices; 3945 PetscFunctionReturn(0); 3946 } 3947 3948 #undef __FUNCT__ 3949 #define __FUNCT__ "PCBDDCGlobalToLocal" 3950 PetscErrorCode PCBDDCGlobalToLocal(VecScatter g2l_ctx,Vec gwork, Vec lwork, IS globalis, IS* localis) 3951 { 3952 IS localis_t; 3953 PetscInt i,lsize,*idxs,n; 3954 PetscScalar *vals; 3955 PetscErrorCode ierr; 3956 3957 PetscFunctionBegin; 3958 /* get indices in local ordering exploiting local to global map */ 3959 ierr = ISGetLocalSize(globalis,&lsize);CHKERRQ(ierr); 3960 ierr = PetscMalloc(lsize*sizeof(PetscScalar),&vals);CHKERRQ(ierr); 3961 for (i=0;i<lsize;i++) vals[i] = 1.0; 3962 ierr = ISGetIndices(globalis,(const PetscInt**)&idxs);CHKERRQ(ierr); 3963 ierr = VecSet(gwork,0.0);CHKERRQ(ierr); 3964 ierr = VecSet(lwork,0.0);CHKERRQ(ierr); 3965 if (idxs) { /* multilevel guard */ 3966 ierr = VecSetValues(gwork,lsize,idxs,vals,INSERT_VALUES);CHKERRQ(ierr); 3967 } 3968 ierr = VecAssemblyBegin(gwork);CHKERRQ(ierr); 3969 ierr = ISRestoreIndices(globalis,(const PetscInt**)&idxs);CHKERRQ(ierr); 3970 ierr = PetscFree(vals);CHKERRQ(ierr); 3971 ierr = VecAssemblyEnd(gwork);CHKERRQ(ierr); 3972 /* now compute set in local ordering */ 3973 ierr = VecScatterBegin(g2l_ctx,gwork,lwork,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 3974 ierr = VecScatterEnd(g2l_ctx,gwork,lwork,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 3975 ierr = VecGetArrayRead(lwork,(const PetscScalar**)&vals);CHKERRQ(ierr); 3976 ierr = VecGetSize(lwork,&n);CHKERRQ(ierr); 3977 for (i=0,lsize=0;i<n;i++) { 3978 if (PetscRealPart(vals[i]) > 0.5) { 3979 lsize++; 3980 } 3981 } 3982 ierr = PetscMalloc(lsize*sizeof(PetscInt),&idxs);CHKERRQ(ierr); 3983 for (i=0,lsize=0;i<n;i++) { 3984 if (PetscRealPart(vals[i]) > 0.5) { 3985 idxs[lsize++] = i; 3986 } 3987 } 3988 ierr = VecRestoreArrayRead(lwork,(const PetscScalar**)&vals);CHKERRQ(ierr); 3989 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)gwork),lsize,idxs,PETSC_OWN_POINTER,&localis_t);CHKERRQ(ierr); 3990 *localis = localis_t; 3991 PetscFunctionReturn(0); 3992 } 3993 3994 /* the next two functions will be called in KSPMatMult if a change of basis has been requested */ 3995 #undef __FUNCT__ 3996 #define __FUNCT__ "PCBDDCMatMult_Private" 3997 static PetscErrorCode PCBDDCMatMult_Private(Mat A, Vec x, Vec y) 3998 { 3999 PCBDDCChange_ctx change_ctx; 4000 PetscErrorCode ierr; 4001 4002 PetscFunctionBegin; 4003 ierr = MatShellGetContext(A,&change_ctx);CHKERRQ(ierr); 4004 ierr = MatMult(change_ctx->global_change,x,change_ctx->work[0]);CHKERRQ(ierr); 4005 ierr = MatMult(change_ctx->original_mat,change_ctx->work[0],change_ctx->work[1]);CHKERRQ(ierr); 4006 ierr = MatMultTranspose(change_ctx->global_change,change_ctx->work[1],y);CHKERRQ(ierr); 4007 PetscFunctionReturn(0); 4008 } 4009 4010 #undef __FUNCT__ 4011 #define __FUNCT__ "PCBDDCMatMultTranspose_Private" 4012 static PetscErrorCode PCBDDCMatMultTranspose_Private(Mat A, Vec x, Vec y) 4013 { 4014 PCBDDCChange_ctx change_ctx; 4015 PetscErrorCode ierr; 4016 4017 PetscFunctionBegin; 4018 ierr = MatShellGetContext(A,&change_ctx);CHKERRQ(ierr); 4019 ierr = MatMult(change_ctx->global_change,x,change_ctx->work[0]);CHKERRQ(ierr); 4020 ierr = MatMultTranspose(change_ctx->original_mat,change_ctx->work[0],change_ctx->work[1]);CHKERRQ(ierr); 4021 ierr = MatMultTranspose(change_ctx->global_change,change_ctx->work[1],y);CHKERRQ(ierr); 4022 PetscFunctionReturn(0); 4023 } 4024