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