1 #include <../src/ksp/pc/impls/bddc/bddc.h> 2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h> 3 #include <petscblaslapack.h> 4 5 static PetscErrorCode PCBDDCMatMultTranspose_Private(Mat A, Vec x, Vec y); 6 static PetscErrorCode PCBDDCMatMult_Private(Mat A, Vec x, Vec y); 7 8 #undef __FUNCT__ 9 #define __FUNCT__ "PCBDDCSetUpSolvers" 10 PetscErrorCode PCBDDCSetUpSolvers(PC pc) 11 { 12 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 13 PetscScalar *coarse_submat_vals; 14 PetscErrorCode ierr; 15 16 PetscFunctionBegin; 17 /* Compute matrix after change of basis and extract local submatrices */ 18 ierr = PCBDDCSetUpLocalMatrices(pc);CHKERRQ(ierr); 19 20 /* Setup local scatters R_to_B and (optionally) R_to_D */ 21 /* PCBDDCSetUpLocalWorkVectors and PCBDDCSetUpLocalMatrices should be called first! */ 22 ierr = PCBDDCSetUpLocalScatters(pc);CHKERRQ(ierr); 23 24 /* Setup local solvers ksp_D and ksp_R */ 25 /* PCBDDCSetUpLocalScatters should be called first! */ 26 ierr = PCBDDCSetUpLocalSolvers(pc);CHKERRQ(ierr); 27 28 /* Change global null space passed in by the user if change of basis has been requested */ 29 if (pcbddc->NullSpace && pcbddc->ChangeOfBasisMatrix) { 30 ierr = PCBDDCNullSpaceAdaptGlobal(pc);CHKERRQ(ierr); 31 } 32 33 /* 34 Setup local correction and local part of coarse basis. 35 Gives back the dense local part of the coarse matrix in column major ordering 36 */ 37 ierr = PCBDDCSetUpCorrection(pc,&coarse_submat_vals);CHKERRQ(ierr); 38 39 /* Compute total number of coarse nodes and setup coarse solver */ 40 ierr = PCBDDCSetUpCoarseSolver(pc,coarse_submat_vals);CHKERRQ(ierr); 41 42 /* free */ 43 ierr = PetscFree(coarse_submat_vals);CHKERRQ(ierr); 44 PetscFunctionReturn(0); 45 } 46 47 #undef __FUNCT__ 48 #define __FUNCT__ "PCBDDCResetCustomization" 49 PetscErrorCode PCBDDCResetCustomization(PC pc) 50 { 51 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 52 PetscErrorCode ierr; 53 54 PetscFunctionBegin; 55 ierr = PCBDDCGraphResetCSR(pcbddc->mat_graph);CHKERRQ(ierr); 56 ierr = ISDestroy(&pcbddc->user_primal_vertices);CHKERRQ(ierr); 57 ierr = MatNullSpaceDestroy(&pcbddc->NullSpace);CHKERRQ(ierr); 58 ierr = ISDestroy(&pcbddc->NeumannBoundaries);CHKERRQ(ierr); 59 ierr = ISDestroy(&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr); 60 ierr = ISDestroy(&pcbddc->DirichletBoundaries);CHKERRQ(ierr); 61 ierr = MatNullSpaceDestroy(&pcbddc->onearnullspace);CHKERRQ(ierr); 62 ierr = PetscFree(pcbddc->onearnullvecs_state);CHKERRQ(ierr); 63 ierr = ISDestroy(&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr); 64 ierr = PCBDDCSetDofsSplitting(pc,0,NULL);CHKERRQ(ierr); 65 ierr = PCBDDCSetDofsSplittingLocal(pc,0,NULL);CHKERRQ(ierr); 66 PetscFunctionReturn(0); 67 } 68 69 #undef __FUNCT__ 70 #define __FUNCT__ "PCBDDCResetTopography" 71 PetscErrorCode PCBDDCResetTopography(PC pc) 72 { 73 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 74 PetscErrorCode ierr; 75 76 PetscFunctionBegin; 77 ierr = MatDestroy(&pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr); 78 ierr = MatDestroy(&pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr); 79 ierr = MatDestroy(&pcbddc->ConstraintMatrix);CHKERRQ(ierr); 80 ierr = PCBDDCGraphReset(pcbddc->mat_graph);CHKERRQ(ierr); 81 PetscFunctionReturn(0); 82 } 83 84 #undef __FUNCT__ 85 #define __FUNCT__ "PCBDDCResetSolvers" 86 PetscErrorCode PCBDDCResetSolvers(PC pc) 87 { 88 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 89 PetscErrorCode ierr; 90 91 PetscFunctionBegin; 92 ierr = VecDestroy(&pcbddc->coarse_vec);CHKERRQ(ierr); 93 ierr = VecDestroy(&pcbddc->coarse_rhs);CHKERRQ(ierr); 94 ierr = MatDestroy(&pcbddc->coarse_phi_B);CHKERRQ(ierr); 95 ierr = MatDestroy(&pcbddc->coarse_phi_D);CHKERRQ(ierr); 96 ierr = MatDestroy(&pcbddc->coarse_psi_B);CHKERRQ(ierr); 97 ierr = MatDestroy(&pcbddc->coarse_psi_D);CHKERRQ(ierr); 98 ierr = VecDestroy(&pcbddc->vec1_P);CHKERRQ(ierr); 99 ierr = VecDestroy(&pcbddc->vec1_C);CHKERRQ(ierr); 100 ierr = MatDestroy(&pcbddc->local_auxmat1);CHKERRQ(ierr); 101 ierr = MatDestroy(&pcbddc->local_auxmat2);CHKERRQ(ierr); 102 ierr = VecDestroy(&pcbddc->vec1_R);CHKERRQ(ierr); 103 ierr = VecDestroy(&pcbddc->vec2_R);CHKERRQ(ierr); 104 ierr = ISDestroy(&pcbddc->is_R_local);CHKERRQ(ierr); 105 ierr = VecScatterDestroy(&pcbddc->R_to_B);CHKERRQ(ierr); 106 ierr = VecScatterDestroy(&pcbddc->R_to_D);CHKERRQ(ierr); 107 ierr = VecScatterDestroy(&pcbddc->coarse_loc_to_glob);CHKERRQ(ierr); 108 ierr = KSPDestroy(&pcbddc->ksp_D);CHKERRQ(ierr); 109 ierr = KSPDestroy(&pcbddc->ksp_R);CHKERRQ(ierr); 110 ierr = KSPDestroy(&pcbddc->coarse_ksp);CHKERRQ(ierr); 111 ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr); 112 ierr = PetscFree(pcbddc->primal_indices_local_idxs);CHKERRQ(ierr); 113 ierr = PetscFree(pcbddc->global_primal_indices);CHKERRQ(ierr); 114 ierr = ISDestroy(&pcbddc->coarse_subassembling);CHKERRQ(ierr); 115 ierr = ISDestroy(&pcbddc->coarse_subassembling_init);CHKERRQ(ierr); 116 PetscFunctionReturn(0); 117 } 118 119 #undef __FUNCT__ 120 #define __FUNCT__ "PCBDDCSetUpLocalWorkVectors" 121 PetscErrorCode PCBDDCSetUpLocalWorkVectors(PC pc) 122 { 123 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 124 PC_IS *pcis = (PC_IS*)pc->data; 125 VecType impVecType; 126 PetscInt n_constraints,n_R,old_size; 127 PetscErrorCode ierr; 128 129 PetscFunctionBegin; 130 if (!pcbddc->ConstraintMatrix) { 131 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"BDDC Constraint matrix has not been created"); 132 } 133 /* get sizes */ 134 n_constraints = pcbddc->local_primal_size - pcbddc->n_actual_vertices; 135 n_R = pcis->n-pcbddc->n_actual_vertices; 136 ierr = VecGetType(pcis->vec1_N,&impVecType);CHKERRQ(ierr); 137 /* local work vectors (try to avoid unneeded work)*/ 138 /* R nodes */ 139 old_size = -1; 140 if (pcbddc->vec1_R) { 141 ierr = VecGetSize(pcbddc->vec1_R,&old_size);CHKERRQ(ierr); 142 } 143 if (n_R != old_size) { 144 ierr = VecDestroy(&pcbddc->vec1_R);CHKERRQ(ierr); 145 ierr = VecDestroy(&pcbddc->vec2_R);CHKERRQ(ierr); 146 ierr = VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N),&pcbddc->vec1_R);CHKERRQ(ierr); 147 ierr = VecSetSizes(pcbddc->vec1_R,PETSC_DECIDE,n_R);CHKERRQ(ierr); 148 ierr = VecSetType(pcbddc->vec1_R,impVecType);CHKERRQ(ierr); 149 ierr = VecDuplicate(pcbddc->vec1_R,&pcbddc->vec2_R);CHKERRQ(ierr); 150 } 151 /* local primal dofs */ 152 old_size = -1; 153 if (pcbddc->vec1_P) { 154 ierr = VecGetSize(pcbddc->vec1_P,&old_size);CHKERRQ(ierr); 155 } 156 if (pcbddc->local_primal_size != old_size) { 157 ierr = VecDestroy(&pcbddc->vec1_P);CHKERRQ(ierr); 158 ierr = VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N),&pcbddc->vec1_P);CHKERRQ(ierr); 159 ierr = VecSetSizes(pcbddc->vec1_P,PETSC_DECIDE,pcbddc->local_primal_size);CHKERRQ(ierr); 160 ierr = VecSetType(pcbddc->vec1_P,impVecType);CHKERRQ(ierr); 161 } 162 /* local explicit constraints */ 163 old_size = -1; 164 if (pcbddc->vec1_C) { 165 ierr = VecGetSize(pcbddc->vec1_C,&old_size);CHKERRQ(ierr); 166 } 167 if (n_constraints && n_constraints != old_size) { 168 ierr = VecDestroy(&pcbddc->vec1_C);CHKERRQ(ierr); 169 ierr = VecCreate(PetscObjectComm((PetscObject)pcis->vec1_N),&pcbddc->vec1_C);CHKERRQ(ierr); 170 ierr = VecSetSizes(pcbddc->vec1_C,PETSC_DECIDE,n_constraints);CHKERRQ(ierr); 171 ierr = VecSetType(pcbddc->vec1_C,impVecType);CHKERRQ(ierr); 172 } 173 PetscFunctionReturn(0); 174 } 175 176 #undef __FUNCT__ 177 #define __FUNCT__ "PCBDDCSetUpCorrection" 178 PetscErrorCode PCBDDCSetUpCorrection(PC pc, PetscScalar **coarse_submat_vals_n) 179 { 180 PetscErrorCode ierr; 181 /* pointers to pcis and pcbddc */ 182 PC_IS* pcis = (PC_IS*)pc->data; 183 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 184 /* submatrices of local problem */ 185 Mat A_RV,A_VR,A_VV; 186 /* working matrices */ 187 Mat M1,M2,M3,C_CR; 188 /* working vectors */ 189 Vec vec1_C,vec2_C,vec1_V,vec2_V; 190 /* additional working stuff */ 191 IS is_aux; 192 PetscScalar *coarse_submat_vals; /* TODO: use a PETSc matrix */ 193 const PetscScalar *array,*row_cmat_values; 194 const PetscInt *row_cmat_indices,*idx_R_local; 195 PetscInt *idx_V_B,*auxindices; 196 PetscInt n_vertices,n_constraints,size_of_constraint; 197 PetscInt i,j,n_R,n_D,n_B; 198 PetscBool unsymmetric_check; 199 /* matrix type (vector type propagated downstream from vec1_C and local matrix type) */ 200 MatType impMatType; 201 /* some shortcuts to scalars */ 202 PetscScalar zero=0.0,one=1.0,m_one=-1.0; 203 /* for debugging purposes */ 204 PetscReal *coarsefunctions_errors,*constraints_errors; 205 206 PetscFunctionBegin; 207 /* get number of vertices (corners plus constraints with change of basis) 208 pcbddc->n_actual_vertices stores the actual number of vertices, pcbddc->n_vertices the number of corners computed */ 209 n_vertices = pcbddc->n_actual_vertices; 210 n_constraints = pcbddc->local_primal_size-n_vertices; 211 /* Set Non-overlapping dimensions */ 212 n_B = pcis->n_B; n_D = pcis->n - n_B; 213 n_R = pcis->n-n_vertices; 214 215 /* Set types for local objects needed by BDDC precondtioner */ 216 impMatType = MATSEQDENSE; 217 218 /* Allocating some extra storage just to be safe */ 219 ierr = PetscMalloc (pcis->n*sizeof(PetscInt),&auxindices);CHKERRQ(ierr); 220 for (i=0;i<pcis->n;i++) auxindices[i]=i; 221 222 /* vertices in boundary numbering */ 223 ierr = PetscMalloc1(n_vertices,&idx_V_B);CHKERRQ(ierr); 224 ierr = ISGlobalToLocalMappingApply(pcbddc->BtoNmap,IS_GTOLM_DROP,n_vertices,pcbddc->primal_indices_local_idxs,&i,idx_V_B);CHKERRQ(ierr); 225 if (i != n_vertices) { 226 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in boundary numbering for BDDC vertices! %d != %d\n",n_vertices,i); 227 } 228 229 /* Precompute stuffs needed for preprocessing and application of BDDC*/ 230 if (n_constraints) { 231 /* see if we can save some allocations */ 232 if (pcbddc->local_auxmat2) { 233 PetscInt on_R,on_constraints; 234 ierr = MatGetSize(pcbddc->local_auxmat2,&on_R,&on_constraints);CHKERRQ(ierr); 235 if (on_R != n_R || on_constraints != n_constraints) { 236 ierr = MatDestroy(&pcbddc->local_auxmat2);CHKERRQ(ierr); 237 ierr = MatDestroy(&pcbddc->local_auxmat1);CHKERRQ(ierr); 238 } 239 } 240 /* work vectors */ 241 ierr = VecDuplicate(pcbddc->vec1_C,&vec1_C);CHKERRQ(ierr); 242 ierr = VecDuplicate(pcbddc->vec1_C,&vec2_C);CHKERRQ(ierr); 243 /* auxiliary matrices */ 244 if (!pcbddc->local_auxmat2) { 245 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->local_auxmat2);CHKERRQ(ierr); 246 ierr = MatSetSizes(pcbddc->local_auxmat2,n_R,n_constraints,PETSC_DECIDE,PETSC_DECIDE);CHKERRQ(ierr); 247 ierr = MatSetType(pcbddc->local_auxmat2,impMatType);CHKERRQ(ierr); 248 ierr = MatSetUp(pcbddc->local_auxmat2);CHKERRQ(ierr); 249 } 250 251 /* Extract constraints on R nodes: C_{CR} */ 252 ierr = ISCreateStride(PETSC_COMM_SELF,n_constraints,n_vertices,1,&is_aux);CHKERRQ(ierr); 253 ierr = MatGetSubMatrix(pcbddc->ConstraintMatrix,is_aux,pcbddc->is_R_local,MAT_INITIAL_MATRIX,&C_CR);CHKERRQ(ierr); 254 ierr = ISDestroy(&is_aux);CHKERRQ(ierr); 255 256 /* Assemble local_auxmat2 = - A_{RR}^{-1} C^T_{CR} needed by BDDC application */ 257 for (i=0;i<n_constraints;i++) { 258 ierr = VecSet(pcbddc->vec1_R,zero);CHKERRQ(ierr); 259 /* Get row of constraint matrix in R numbering */ 260 ierr = MatGetRow(C_CR,i,&size_of_constraint,&row_cmat_indices,&row_cmat_values);CHKERRQ(ierr); 261 ierr = VecSetValues(pcbddc->vec1_R,size_of_constraint,row_cmat_indices,row_cmat_values,INSERT_VALUES);CHKERRQ(ierr); 262 ierr = MatRestoreRow(C_CR,i,&size_of_constraint,&row_cmat_indices,&row_cmat_values);CHKERRQ(ierr); 263 ierr = VecAssemblyBegin(pcbddc->vec1_R);CHKERRQ(ierr); 264 ierr = VecAssemblyEnd(pcbddc->vec1_R);CHKERRQ(ierr); 265 /* Solve for row of constraint matrix in R numbering */ 266 ierr = KSPSolve(pcbddc->ksp_R,pcbddc->vec1_R,pcbddc->vec2_R);CHKERRQ(ierr); 267 /* Set values in local_auxmat2 */ 268 ierr = VecGetArrayRead(pcbddc->vec2_R,&array);CHKERRQ(ierr); 269 ierr = MatSetValues(pcbddc->local_auxmat2,n_R,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 270 ierr = VecRestoreArrayRead(pcbddc->vec2_R,&array);CHKERRQ(ierr); 271 } 272 ierr = MatAssemblyBegin(pcbddc->local_auxmat2,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 273 ierr = MatAssemblyEnd(pcbddc->local_auxmat2,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 274 ierr = MatScale(pcbddc->local_auxmat2,m_one);CHKERRQ(ierr); 275 276 /* Assemble explicitly M1 = ( C_{CR} A_{RR}^{-1} C^T_{CR} )^{-1} needed in preproc */ 277 ierr = MatMatMult(C_CR,pcbddc->local_auxmat2,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&M3);CHKERRQ(ierr); 278 ierr = MatLUFactor(M3,NULL,NULL,NULL);CHKERRQ(ierr); 279 ierr = MatCreate(PETSC_COMM_SELF,&M1);CHKERRQ(ierr); 280 ierr = MatSetSizes(M1,n_constraints,n_constraints,n_constraints,n_constraints);CHKERRQ(ierr); 281 ierr = MatSetType(M1,impMatType);CHKERRQ(ierr); 282 ierr = MatSetUp(M1);CHKERRQ(ierr); 283 ierr = MatDuplicate(M1,MAT_DO_NOT_COPY_VALUES,&M2);CHKERRQ(ierr); 284 ierr = MatZeroEntries(M2);CHKERRQ(ierr); 285 ierr = VecSet(vec1_C,m_one);CHKERRQ(ierr); 286 ierr = MatDiagonalSet(M2,vec1_C,INSERT_VALUES);CHKERRQ(ierr); 287 ierr = MatMatSolve(M3,M2,M1);CHKERRQ(ierr); 288 ierr = MatDestroy(&M2);CHKERRQ(ierr); 289 ierr = MatDestroy(&M3);CHKERRQ(ierr); 290 /* Assemble local_auxmat1 = M1*C_{CR} needed by BDDC application in KSP and in preproc */ 291 if (!pcbddc->local_auxmat1) { 292 ierr = MatMatMult(M1,C_CR,MAT_INITIAL_MATRIX,PETSC_DEFAULT,&pcbddc->local_auxmat1);CHKERRQ(ierr); 293 } else { 294 ierr = MatMatMult(M1,C_CR,MAT_REUSE_MATRIX,PETSC_DEFAULT,&pcbddc->local_auxmat1);CHKERRQ(ierr); 295 } 296 } 297 298 /* Get submatrices from subdomain matrix */ 299 if (n_vertices) { 300 PetscInt ibs,mbs; 301 PetscBool issbaij; 302 Mat newmat; 303 304 ierr = ISComplement(pcbddc->is_R_local,0,pcis->n,&is_aux);CHKERRQ(ierr); 305 ierr = MatGetBlockSize(pcbddc->local_mat,&mbs);CHKERRQ(ierr); 306 ierr = ISGetBlockSize(pcbddc->is_R_local,&ibs);CHKERRQ(ierr); 307 if (ibs != mbs) { /* need to convert to SEQAIJ */ 308 ierr = MatConvert(pcbddc->local_mat,MATSEQAIJ,MAT_INITIAL_MATRIX,&newmat);CHKERRQ(ierr); 309 ierr = MatGetSubMatrix(newmat,pcbddc->is_R_local,is_aux,MAT_INITIAL_MATRIX,&A_RV);CHKERRQ(ierr); 310 ierr = MatGetSubMatrix(newmat,is_aux,pcbddc->is_R_local,MAT_INITIAL_MATRIX,&A_VR);CHKERRQ(ierr); 311 ierr = MatGetSubMatrix(newmat,is_aux,is_aux,MAT_INITIAL_MATRIX,&A_VV);CHKERRQ(ierr); 312 ierr = MatDestroy(&newmat);CHKERRQ(ierr); 313 } else { 314 /* this is safe */ 315 ierr = MatGetSubMatrix(pcbddc->local_mat,is_aux,is_aux,MAT_INITIAL_MATRIX,&A_VV);CHKERRQ(ierr); 316 ierr = PetscObjectTypeCompare((PetscObject)pcbddc->local_mat,MATSEQSBAIJ,&issbaij);CHKERRQ(ierr); 317 if (issbaij) { /* need to convert to BAIJ to get offdiagonal blocks */ 318 ierr = MatConvert(pcbddc->local_mat,MATSEQBAIJ,MAT_INITIAL_MATRIX,&newmat);CHKERRQ(ierr); 319 /* which of the two approaches is faster? */ 320 /* ierr = MatGetSubMatrix(newmat,pcbddc->is_R_local,is_aux,MAT_INITIAL_MATRIX,&A_RV);CHKERRQ(ierr); 321 ierr = MatCreateTranspose(A_RV,&A_VR);CHKERRQ(ierr);*/ 322 ierr = MatGetSubMatrix(newmat,is_aux,pcbddc->is_R_local,MAT_INITIAL_MATRIX,&A_VR);CHKERRQ(ierr); 323 ierr = MatCreateTranspose(A_VR,&A_RV);CHKERRQ(ierr); 324 ierr = MatDestroy(&newmat);CHKERRQ(ierr); 325 } else { 326 ierr = MatGetSubMatrix(pcbddc->local_mat,pcbddc->is_R_local,is_aux,MAT_INITIAL_MATRIX,&A_RV);CHKERRQ(ierr); 327 ierr = MatGetSubMatrix(pcbddc->local_mat,is_aux,pcbddc->is_R_local,MAT_INITIAL_MATRIX,&A_VR);CHKERRQ(ierr); 328 } 329 } 330 ierr = MatCreateVecs(A_RV,&vec1_V,NULL);CHKERRQ(ierr); 331 ierr = VecDuplicate(vec1_V,&vec2_V);CHKERRQ(ierr); 332 ierr = ISDestroy(&is_aux);CHKERRQ(ierr); 333 } 334 335 /* Matrix of coarse basis functions (local) */ 336 if (pcbddc->coarse_phi_B) { 337 PetscInt on_B,on_primal; 338 ierr = MatGetSize(pcbddc->coarse_phi_B,&on_B,&on_primal);CHKERRQ(ierr); 339 if (on_B != n_B || on_primal != pcbddc->local_primal_size) { 340 ierr = MatDestroy(&pcbddc->coarse_phi_B);CHKERRQ(ierr); 341 ierr = MatDestroy(&pcbddc->coarse_psi_B);CHKERRQ(ierr); 342 } 343 } 344 if (pcbddc->coarse_phi_D) { 345 PetscInt on_D,on_primal; 346 ierr = MatGetSize(pcbddc->coarse_phi_D,&on_D,&on_primal);CHKERRQ(ierr); 347 if (on_D != n_D || on_primal != pcbddc->local_primal_size) { 348 ierr = MatDestroy(&pcbddc->coarse_phi_D);CHKERRQ(ierr); 349 ierr = MatDestroy(&pcbddc->coarse_psi_D);CHKERRQ(ierr); 350 } 351 } 352 if (!pcbddc->coarse_phi_B) { 353 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->coarse_phi_B);CHKERRQ(ierr); 354 ierr = MatSetSizes(pcbddc->coarse_phi_B,n_B,pcbddc->local_primal_size,n_B,pcbddc->local_primal_size);CHKERRQ(ierr); 355 ierr = MatSetType(pcbddc->coarse_phi_B,impMatType);CHKERRQ(ierr); 356 ierr = MatSetUp(pcbddc->coarse_phi_B);CHKERRQ(ierr); 357 } 358 if ( (pcbddc->switch_static || pcbddc->dbg_flag) && !pcbddc->coarse_phi_D ) { 359 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->coarse_phi_D);CHKERRQ(ierr); 360 ierr = MatSetSizes(pcbddc->coarse_phi_D,n_D,pcbddc->local_primal_size,n_D,pcbddc->local_primal_size);CHKERRQ(ierr); 361 ierr = MatSetType(pcbddc->coarse_phi_D,impMatType);CHKERRQ(ierr); 362 ierr = MatSetUp(pcbddc->coarse_phi_D);CHKERRQ(ierr); 363 } 364 365 if (pcbddc->dbg_flag) { 366 ierr = ISGetIndices(pcbddc->is_R_local,&idx_R_local);CHKERRQ(ierr); 367 ierr = PetscMalloc1(2*pcbddc->local_primal_size,&coarsefunctions_errors);CHKERRQ(ierr); 368 ierr = PetscMalloc1(2*pcbddc->local_primal_size,&constraints_errors);CHKERRQ(ierr); 369 } 370 /* Subdomain contribution (Non-overlapping) to coarse matrix */ 371 ierr = PetscMalloc1((pcbddc->local_primal_size)*(pcbddc->local_primal_size),&coarse_submat_vals);CHKERRQ(ierr); 372 373 /* We are now ready to evaluate coarse basis functions and subdomain contribution to coarse problem */ 374 375 /* vertices */ 376 for (i=0;i<n_vertices;i++) { 377 /* this should not be needed, but MatMult_BAIJ is broken when using compressed row routines */ 378 ierr = VecSet(pcbddc->vec1_R,zero);CHKERRQ(ierr); /* TODO: REMOVE IT */ 379 ierr = VecSet(vec1_V,zero);CHKERRQ(ierr); 380 ierr = VecSetValue(vec1_V,i,one,INSERT_VALUES);CHKERRQ(ierr); 381 ierr = VecAssemblyBegin(vec1_V);CHKERRQ(ierr); 382 ierr = VecAssemblyEnd(vec1_V);CHKERRQ(ierr); 383 /* simplified solution of saddle point problem with null rhs on constraints multipliers */ 384 ierr = MatMult(A_RV,vec1_V,pcbddc->vec1_R);CHKERRQ(ierr); 385 ierr = KSPSolve(pcbddc->ksp_R,pcbddc->vec1_R,pcbddc->vec1_R);CHKERRQ(ierr); 386 ierr = VecScale(pcbddc->vec1_R,m_one);CHKERRQ(ierr); 387 if (n_constraints) { 388 ierr = MatMult(pcbddc->local_auxmat1,pcbddc->vec1_R,vec1_C);CHKERRQ(ierr); 389 ierr = MatMultAdd(pcbddc->local_auxmat2,vec1_C,pcbddc->vec1_R,pcbddc->vec1_R);CHKERRQ(ierr); 390 ierr = VecScale(vec1_C,m_one);CHKERRQ(ierr); 391 } 392 ierr = MatMult(A_VR,pcbddc->vec1_R,vec2_V);CHKERRQ(ierr); 393 ierr = MatMultAdd(A_VV,vec1_V,vec2_V,vec2_V);CHKERRQ(ierr); 394 395 /* Set values in coarse basis function and subdomain part of coarse_mat */ 396 /* coarse basis functions */ 397 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 398 ierr = VecScatterBegin(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 399 ierr = VecScatterEnd(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 400 ierr = VecGetArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 401 ierr = MatSetValues(pcbddc->coarse_phi_B,n_B,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 402 ierr = VecRestoreArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 403 ierr = MatSetValue(pcbddc->coarse_phi_B,idx_V_B[i],i,one,INSERT_VALUES);CHKERRQ(ierr); 404 if (pcbddc->switch_static || pcbddc->dbg_flag) { 405 ierr = VecScatterBegin(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 406 ierr = VecScatterEnd(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 407 ierr = VecGetArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 408 ierr = MatSetValues(pcbddc->coarse_phi_D,n_D,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 409 ierr = VecRestoreArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 410 } 411 /* subdomain contribution to coarse matrix. WARNING -> column major ordering */ 412 ierr = VecGetArrayRead(vec2_V,&array);CHKERRQ(ierr); 413 ierr = PetscMemcpy(&coarse_submat_vals[i*pcbddc->local_primal_size],array,n_vertices*sizeof(PetscScalar));CHKERRQ(ierr); 414 ierr = VecRestoreArrayRead(vec2_V,&array);CHKERRQ(ierr); 415 if (n_constraints) { 416 ierr = VecGetArrayRead(vec1_C,&array);CHKERRQ(ierr); 417 ierr = PetscMemcpy(&coarse_submat_vals[i*pcbddc->local_primal_size+n_vertices],array,n_constraints*sizeof(PetscScalar));CHKERRQ(ierr); 418 ierr = VecRestoreArrayRead(vec1_C,&array);CHKERRQ(ierr); 419 } 420 421 /* check */ 422 if (pcbddc->dbg_flag) { 423 /* assemble subdomain vector on local nodes */ 424 ierr = VecSet(pcis->vec1_N,zero);CHKERRQ(ierr); 425 ierr = VecGetArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 426 if (n_R) { 427 ierr = VecSetValues(pcis->vec1_N,n_R,idx_R_local,array,INSERT_VALUES);CHKERRQ(ierr); 428 } 429 ierr = VecRestoreArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 430 ierr = VecSetValue(pcis->vec1_N,pcbddc->primal_indices_local_idxs[i],one,INSERT_VALUES);CHKERRQ(ierr); 431 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 432 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 433 /* assemble subdomain vector of lagrange multipliers (i.e. primal nodes) */ 434 ierr = VecSet(pcbddc->vec1_P,zero);CHKERRQ(ierr); 435 ierr = VecGetArrayRead(vec2_V,&array);CHKERRQ(ierr); 436 ierr = VecSetValues(pcbddc->vec1_P,n_vertices,auxindices,array,INSERT_VALUES);CHKERRQ(ierr); 437 ierr = VecRestoreArrayRead(vec2_V,&array);CHKERRQ(ierr); 438 if (n_constraints) { 439 ierr = VecGetArrayRead(vec1_C,&array);CHKERRQ(ierr); 440 ierr = VecSetValues(pcbddc->vec1_P,n_constraints,&auxindices[n_vertices],array,INSERT_VALUES);CHKERRQ(ierr); 441 ierr = VecRestoreArrayRead(vec1_C,&array);CHKERRQ(ierr); 442 } 443 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 444 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 445 ierr = VecScale(pcbddc->vec1_P,m_one);CHKERRQ(ierr); 446 /* check saddle point solution */ 447 ierr = MatMult(pcbddc->local_mat,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 448 ierr = MatMultTransposeAdd(pcbddc->ConstraintMatrix,pcbddc->vec1_P,pcis->vec2_N,pcis->vec2_N);CHKERRQ(ierr); 449 ierr = VecNorm(pcis->vec2_N,NORM_INFINITY,&coarsefunctions_errors[i]);CHKERRQ(ierr); 450 ierr = MatMult(pcbddc->ConstraintMatrix,pcis->vec1_N,pcbddc->vec1_P);CHKERRQ(ierr); 451 /* shift by the identity matrix */ 452 ierr = VecSetValue(pcbddc->vec1_P,i,m_one,ADD_VALUES);CHKERRQ(ierr); 453 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 454 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 455 ierr = VecNorm(pcbddc->vec1_P,NORM_INFINITY,&constraints_errors[i]);CHKERRQ(ierr); 456 } 457 } 458 459 /* constraints */ 460 for (i=0;i<n_constraints;i++) { 461 ierr = VecSet(vec2_C,zero);CHKERRQ(ierr); 462 ierr = VecSetValue(vec2_C,i,m_one,INSERT_VALUES);CHKERRQ(ierr); 463 ierr = VecAssemblyBegin(vec2_C);CHKERRQ(ierr); 464 ierr = VecAssemblyEnd(vec2_C);CHKERRQ(ierr); 465 /* simplified solution of saddle point problem with null rhs on vertices multipliers */ 466 ierr = MatMult(M1,vec2_C,vec1_C);CHKERRQ(ierr); 467 ierr = MatMult(pcbddc->local_auxmat2,vec1_C,pcbddc->vec1_R);CHKERRQ(ierr); 468 ierr = VecScale(vec1_C,m_one);CHKERRQ(ierr); 469 if (n_vertices) { 470 ierr = MatMult(A_VR,pcbddc->vec1_R,vec2_V);CHKERRQ(ierr); 471 } 472 /* Set values in coarse basis function and subdomain part of coarse_mat */ 473 /* coarse basis functions */ 474 j = i+n_vertices; /* don't touch this! */ 475 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 476 ierr = VecScatterBegin(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 477 ierr = VecScatterEnd(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 478 ierr = VecGetArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 479 ierr = MatSetValues(pcbddc->coarse_phi_B,n_B,auxindices,1,&j,array,INSERT_VALUES);CHKERRQ(ierr); 480 ierr = VecRestoreArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 481 if (pcbddc->switch_static || pcbddc->dbg_flag) { 482 ierr = VecScatterBegin(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 483 ierr = VecScatterEnd(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 484 ierr = VecGetArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 485 ierr = MatSetValues(pcbddc->coarse_phi_D,n_D,auxindices,1,&j,array,INSERT_VALUES);CHKERRQ(ierr); 486 ierr = VecRestoreArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 487 } 488 /* subdomain contribution to coarse matrix. WARNING -> column major ordering */ 489 if (n_vertices) { 490 ierr = VecGetArrayRead(vec2_V,&array);CHKERRQ(ierr); 491 ierr = PetscMemcpy(&coarse_submat_vals[j*pcbddc->local_primal_size],array,n_vertices*sizeof(PetscScalar));CHKERRQ(ierr); 492 ierr = VecRestoreArrayRead(vec2_V,&array);CHKERRQ(ierr); 493 } 494 ierr = VecGetArrayRead(vec1_C,&array);CHKERRQ(ierr); 495 ierr = PetscMemcpy(&coarse_submat_vals[j*pcbddc->local_primal_size+n_vertices],array,n_constraints*sizeof(PetscScalar));CHKERRQ(ierr); 496 ierr = VecRestoreArrayRead(vec1_C,&array);CHKERRQ(ierr); 497 498 if (pcbddc->dbg_flag) { 499 /* assemble subdomain vector on nodes */ 500 ierr = VecSet(pcis->vec1_N,zero);CHKERRQ(ierr); 501 ierr = VecGetArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 502 if (n_R) { 503 ierr = VecSetValues(pcis->vec1_N,n_R,idx_R_local,array,INSERT_VALUES);CHKERRQ(ierr); 504 } 505 ierr = VecRestoreArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 506 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 507 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 508 /* assemble subdomain vector of lagrange multipliers */ 509 ierr = VecSet(pcbddc->vec1_P,zero);CHKERRQ(ierr); 510 if (n_vertices) { 511 ierr = VecGetArrayRead(vec2_V,&array);CHKERRQ(ierr); 512 ierr = VecSetValues(pcbddc->vec1_P,n_vertices,auxindices,array,INSERT_VALUES);CHKERRQ(ierr); 513 ierr = VecRestoreArrayRead(vec2_V,&array);CHKERRQ(ierr); 514 } 515 ierr = VecGetArrayRead(vec1_C,&array);CHKERRQ(ierr); 516 ierr = VecSetValues(pcbddc->vec1_P,n_constraints,&auxindices[n_vertices],array,INSERT_VALUES);CHKERRQ(ierr); 517 ierr = VecRestoreArrayRead(vec1_C,&array);CHKERRQ(ierr); 518 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 519 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 520 ierr = VecScale(pcbddc->vec1_P,m_one);CHKERRQ(ierr); 521 /* check saddle point solution */ 522 ierr = MatMult(pcbddc->local_mat,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 523 ierr = MatMultTransposeAdd(pcbddc->ConstraintMatrix,pcbddc->vec1_P,pcis->vec2_N,pcis->vec2_N);CHKERRQ(ierr); 524 ierr = VecNorm(pcis->vec2_N,NORM_INFINITY,&coarsefunctions_errors[j]);CHKERRQ(ierr); 525 ierr = MatMult(pcbddc->ConstraintMatrix,pcis->vec1_N,pcbddc->vec1_P);CHKERRQ(ierr); 526 /* shift by the identity matrix */ 527 ierr = VecSetValue(pcbddc->vec1_P,j,m_one,ADD_VALUES);CHKERRQ(ierr); 528 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 529 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 530 ierr = VecNorm(pcbddc->vec1_P,NORM_INFINITY,&constraints_errors[j]);CHKERRQ(ierr); 531 } 532 } 533 /* call assembling routines for local coarse basis */ 534 ierr = MatAssemblyBegin(pcbddc->coarse_phi_B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 535 ierr = MatAssemblyEnd(pcbddc->coarse_phi_B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 536 if (pcbddc->switch_static || pcbddc->dbg_flag) { 537 ierr = MatAssemblyBegin(pcbddc->coarse_phi_D,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 538 ierr = MatAssemblyEnd(pcbddc->coarse_phi_D,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 539 } 540 541 /* compute other basis functions for non-symmetric problems */ 542 /*ierr = MatIsSymmetric(pc->pmat,0.,&pcbddc->issym);CHKERRQ(ierr);*/ 543 { /* this is a temporary workaround since seqbaij matrices does not have support for symmetry checking */ 544 PetscBool setsym; 545 ierr = MatIsSymmetricKnown(pc->pmat,&setsym,&pcbddc->issym);CHKERRQ(ierr); 546 if (!setsym) pcbddc->issym = PETSC_FALSE; 547 } 548 549 if (!pcbddc->issym) { 550 if (!pcbddc->coarse_psi_B) { 551 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->coarse_psi_B);CHKERRQ(ierr); 552 ierr = MatSetSizes(pcbddc->coarse_psi_B,n_B,pcbddc->local_primal_size,n_B,pcbddc->local_primal_size);CHKERRQ(ierr); 553 ierr = MatSetType(pcbddc->coarse_psi_B,impMatType);CHKERRQ(ierr); 554 ierr = MatSetUp(pcbddc->coarse_psi_B);CHKERRQ(ierr); 555 } 556 if ( (pcbddc->switch_static || pcbddc->dbg_flag) && !pcbddc->coarse_psi_D) { 557 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->coarse_psi_D);CHKERRQ(ierr); 558 ierr = MatSetSizes(pcbddc->coarse_psi_D,n_D,pcbddc->local_primal_size,n_D,pcbddc->local_primal_size);CHKERRQ(ierr); 559 ierr = MatSetType(pcbddc->coarse_psi_D,impMatType);CHKERRQ(ierr); 560 ierr = MatSetUp(pcbddc->coarse_psi_D);CHKERRQ(ierr); 561 } 562 for (i=0;i<pcbddc->local_primal_size;i++) { 563 if (n_constraints) { 564 ierr = VecSet(vec1_C,zero);CHKERRQ(ierr); 565 for (j=0;j<n_constraints;j++) { 566 ierr = VecSetValue(vec1_C,j,coarse_submat_vals[(j+n_vertices)*pcbddc->local_primal_size+i],INSERT_VALUES);CHKERRQ(ierr); 567 } 568 ierr = VecAssemblyBegin(vec1_C);CHKERRQ(ierr); 569 ierr = VecAssemblyEnd(vec1_C);CHKERRQ(ierr); 570 } 571 if (i<n_vertices) { 572 ierr = VecSet(vec1_V,zero);CHKERRQ(ierr); 573 ierr = VecSetValue(vec1_V,i,m_one,INSERT_VALUES);CHKERRQ(ierr); 574 ierr = VecAssemblyBegin(vec1_V);CHKERRQ(ierr); 575 ierr = VecAssemblyEnd(vec1_V);CHKERRQ(ierr); 576 ierr = MatMultTranspose(A_VR,vec1_V,pcbddc->vec1_R);CHKERRQ(ierr); 577 if (n_constraints) { 578 ierr = MatMultTransposeAdd(C_CR,vec1_C,pcbddc->vec1_R,pcbddc->vec1_R);CHKERRQ(ierr); 579 } 580 } else { 581 ierr = MatMultTranspose(C_CR,vec1_C,pcbddc->vec1_R);CHKERRQ(ierr); 582 } 583 ierr = KSPSolveTranspose(pcbddc->ksp_R,pcbddc->vec1_R,pcbddc->vec1_R);CHKERRQ(ierr); 584 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 585 ierr = VecScatterBegin(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 586 ierr = VecScatterEnd(pcbddc->R_to_B,pcbddc->vec1_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 587 ierr = VecGetArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 588 ierr = MatSetValues(pcbddc->coarse_psi_B,n_B,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 589 ierr = VecRestoreArrayRead(pcis->vec1_B,&array);CHKERRQ(ierr); 590 if (i<n_vertices) { 591 ierr = MatSetValue(pcbddc->coarse_psi_B,idx_V_B[i],i,one,INSERT_VALUES);CHKERRQ(ierr); 592 } 593 if (pcbddc->switch_static || pcbddc->dbg_flag) { 594 ierr = VecScatterBegin(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 595 ierr = VecScatterEnd(pcbddc->R_to_D,pcbddc->vec1_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 596 ierr = VecGetArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 597 ierr = MatSetValues(pcbddc->coarse_psi_D,n_D,auxindices,1,&i,array,INSERT_VALUES);CHKERRQ(ierr); 598 ierr = VecRestoreArrayRead(pcis->vec1_D,&array);CHKERRQ(ierr); 599 } 600 601 if (pcbddc->dbg_flag) { 602 /* assemble subdomain vector on nodes */ 603 ierr = VecSet(pcis->vec1_N,zero);CHKERRQ(ierr); 604 ierr = VecGetArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 605 if (n_R) { 606 ierr = VecSetValues(pcis->vec1_N,n_R,idx_R_local,array,INSERT_VALUES);CHKERRQ(ierr); 607 } 608 ierr = VecRestoreArrayRead(pcbddc->vec1_R,&array);CHKERRQ(ierr); 609 if (i<n_vertices) { 610 ierr = VecSetValue(pcis->vec1_N,pcbddc->primal_indices_local_idxs[i],one,INSERT_VALUES);CHKERRQ(ierr); 611 } 612 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 613 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 614 /* assemble subdomain vector of lagrange multipliers */ 615 for (j=0;j<pcbddc->local_primal_size;j++) { 616 ierr = VecSetValue(pcbddc->vec1_P,j,-coarse_submat_vals[j*pcbddc->local_primal_size+i],INSERT_VALUES);CHKERRQ(ierr); 617 } 618 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 619 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 620 /* check saddle point solution */ 621 ierr = MatMultTranspose(pcbddc->local_mat,pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 622 ierr = MatMultTransposeAdd(pcbddc->ConstraintMatrix,pcbddc->vec1_P,pcis->vec2_N,pcis->vec2_N);CHKERRQ(ierr); 623 ierr = VecNorm(pcis->vec2_N,NORM_INFINITY,&coarsefunctions_errors[i+pcbddc->local_primal_size]);CHKERRQ(ierr); 624 ierr = MatMult(pcbddc->ConstraintMatrix,pcis->vec1_N,pcbddc->vec1_P);CHKERRQ(ierr); 625 /* shift by the identity matrix */ 626 ierr = VecSetValue(pcbddc->vec1_P,i,m_one,ADD_VALUES);CHKERRQ(ierr); 627 ierr = VecAssemblyBegin(pcbddc->vec1_P);CHKERRQ(ierr); 628 ierr = VecAssemblyEnd(pcbddc->vec1_P);CHKERRQ(ierr); 629 ierr = VecNorm(pcbddc->vec1_P,NORM_INFINITY,&constraints_errors[i+pcbddc->local_primal_size]);CHKERRQ(ierr); 630 } 631 } 632 ierr = MatAssemblyBegin(pcbddc->coarse_psi_B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 633 ierr = MatAssemblyEnd(pcbddc->coarse_psi_B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 634 if (pcbddc->switch_static || pcbddc->dbg_flag) { 635 ierr = MatAssemblyBegin(pcbddc->coarse_psi_D,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 636 ierr = MatAssemblyEnd(pcbddc->coarse_psi_D,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 637 } 638 unsymmetric_check = PETSC_TRUE; 639 } else { /* take references to already computed coarse basis */ 640 unsymmetric_check = PETSC_FALSE; 641 ierr = PetscObjectReference((PetscObject)pcbddc->coarse_phi_B);CHKERRQ(ierr); 642 pcbddc->coarse_psi_B = pcbddc->coarse_phi_B; 643 if (pcbddc->coarse_phi_D) { 644 ierr = PetscObjectReference((PetscObject)pcbddc->coarse_phi_D);CHKERRQ(ierr); 645 pcbddc->coarse_psi_D = pcbddc->coarse_phi_D; 646 } 647 } 648 ierr = PetscFree(idx_V_B);CHKERRQ(ierr); 649 /* Checking coarse_sub_mat and coarse basis functios */ 650 /* Symmetric case : It should be \Phi^{(j)^T} A^{(j)} \Phi^{(j)}=coarse_sub_mat */ 651 /* Non-symmetric case : It should be \Psi^{(j)^T} A^{(j)} \Phi^{(j)}=coarse_sub_mat */ 652 if (pcbddc->dbg_flag) { 653 Mat coarse_sub_mat; 654 Mat AUXMAT,TM1,TM2,TM3,TM4; 655 Mat coarse_phi_D,coarse_phi_B; 656 Mat coarse_psi_D,coarse_psi_B; 657 Mat A_II,A_BB,A_IB,A_BI; 658 MatType checkmattype=MATSEQAIJ; 659 PetscReal real_value; 660 661 ierr = MatConvert(pcis->A_II,checkmattype,MAT_INITIAL_MATRIX,&A_II);CHKERRQ(ierr); 662 ierr = MatConvert(pcis->A_IB,checkmattype,MAT_INITIAL_MATRIX,&A_IB);CHKERRQ(ierr); 663 ierr = MatConvert(pcis->A_BI,checkmattype,MAT_INITIAL_MATRIX,&A_BI);CHKERRQ(ierr); 664 ierr = MatConvert(pcis->A_BB,checkmattype,MAT_INITIAL_MATRIX,&A_BB);CHKERRQ(ierr); 665 ierr = MatConvert(pcbddc->coarse_phi_D,checkmattype,MAT_INITIAL_MATRIX,&coarse_phi_D);CHKERRQ(ierr); 666 ierr = MatConvert(pcbddc->coarse_phi_B,checkmattype,MAT_INITIAL_MATRIX,&coarse_phi_B);CHKERRQ(ierr); 667 if (unsymmetric_check) { 668 ierr = MatConvert(pcbddc->coarse_psi_D,checkmattype,MAT_INITIAL_MATRIX,&coarse_psi_D);CHKERRQ(ierr); 669 ierr = MatConvert(pcbddc->coarse_psi_B,checkmattype,MAT_INITIAL_MATRIX,&coarse_psi_B);CHKERRQ(ierr); 670 } 671 ierr = MatCreateSeqDense(PETSC_COMM_SELF,pcbddc->local_primal_size,pcbddc->local_primal_size,coarse_submat_vals,&coarse_sub_mat);CHKERRQ(ierr); 672 673 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 674 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Check coarse sub mat and local basis functions\n");CHKERRQ(ierr); 675 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 676 if (unsymmetric_check) { 677 ierr = MatMatMult(A_II,coarse_phi_D,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 678 ierr = MatTransposeMatMult(coarse_psi_D,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM1);CHKERRQ(ierr); 679 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 680 ierr = MatMatMult(A_BB,coarse_phi_B,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 681 ierr = MatTransposeMatMult(coarse_psi_B,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM2);CHKERRQ(ierr); 682 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 683 ierr = MatMatMult(A_IB,coarse_phi_B,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 684 ierr = MatTransposeMatMult(coarse_psi_D,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM3);CHKERRQ(ierr); 685 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 686 ierr = MatMatMult(A_BI,coarse_phi_D,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 687 ierr = MatTransposeMatMult(coarse_psi_B,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM4);CHKERRQ(ierr); 688 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 689 } else { 690 ierr = MatPtAP(A_II,coarse_phi_D,MAT_INITIAL_MATRIX,1.0,&TM1);CHKERRQ(ierr); 691 ierr = MatPtAP(A_BB,coarse_phi_B,MAT_INITIAL_MATRIX,1.0,&TM2);CHKERRQ(ierr); 692 ierr = MatMatMult(A_IB,coarse_phi_B,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 693 ierr = MatTransposeMatMult(coarse_phi_D,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM3);CHKERRQ(ierr); 694 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 695 ierr = MatMatMult(A_BI,coarse_phi_D,MAT_INITIAL_MATRIX,1.0,&AUXMAT);CHKERRQ(ierr); 696 ierr = MatTransposeMatMult(coarse_phi_B,AUXMAT,MAT_INITIAL_MATRIX,1.0,&TM4);CHKERRQ(ierr); 697 ierr = MatDestroy(&AUXMAT);CHKERRQ(ierr); 698 } 699 ierr = MatAXPY(TM1,one,TM2,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 700 ierr = MatAXPY(TM1,one,TM3,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 701 ierr = MatAXPY(TM1,one,TM4,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 702 ierr = MatConvert(TM1,MATSEQDENSE,MAT_REUSE_MATRIX,&TM1);CHKERRQ(ierr); 703 ierr = MatAXPY(TM1,m_one,coarse_sub_mat,DIFFERENT_NONZERO_PATTERN);CHKERRQ(ierr); 704 ierr = MatNorm(TM1,NORM_INFINITY,&real_value);CHKERRQ(ierr); 705 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 706 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"----------------------------------\n");CHKERRQ(ierr); 707 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d \n",PetscGlobalRank);CHKERRQ(ierr); 708 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"matrix error = % 1.14e\n",real_value);CHKERRQ(ierr); 709 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"coarse functions (phi) errors\n");CHKERRQ(ierr); 710 for (i=0;i<pcbddc->local_primal_size;i++) { 711 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local %02d-th function error = % 1.14e\n",i,coarsefunctions_errors[i]);CHKERRQ(ierr); 712 } 713 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"constraints (phi) errors\n");CHKERRQ(ierr); 714 for (i=0;i<pcbddc->local_primal_size;i++) { 715 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local %02d-th function error = % 1.14e\n",i,constraints_errors[i]);CHKERRQ(ierr); 716 } 717 if (unsymmetric_check) { 718 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"coarse functions (psi) errors\n");CHKERRQ(ierr); 719 for (i=pcbddc->local_primal_size;i<2*pcbddc->local_primal_size;i++) { 720 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local %02d-th function error = % 1.14e\n",i-pcbddc->local_primal_size,coarsefunctions_errors[i]);CHKERRQ(ierr); 721 } 722 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"constraints (psi) errors\n");CHKERRQ(ierr); 723 for (i=pcbddc->local_primal_size;i<2*pcbddc->local_primal_size;i++) { 724 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local %02d-th function error = % 1.14e\n",i-pcbddc->local_primal_size,constraints_errors[i]);CHKERRQ(ierr); 725 } 726 } 727 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 728 ierr = MatDestroy(&A_II);CHKERRQ(ierr); 729 ierr = MatDestroy(&A_BB);CHKERRQ(ierr); 730 ierr = MatDestroy(&A_IB);CHKERRQ(ierr); 731 ierr = MatDestroy(&A_BI);CHKERRQ(ierr); 732 ierr = MatDestroy(&TM1);CHKERRQ(ierr); 733 ierr = MatDestroy(&TM2);CHKERRQ(ierr); 734 ierr = MatDestroy(&TM3);CHKERRQ(ierr); 735 ierr = MatDestroy(&TM4);CHKERRQ(ierr); 736 ierr = MatDestroy(&coarse_phi_D);CHKERRQ(ierr); 737 ierr = MatDestroy(&coarse_phi_B);CHKERRQ(ierr); 738 if (unsymmetric_check) { 739 ierr = MatDestroy(&coarse_psi_D);CHKERRQ(ierr); 740 ierr = MatDestroy(&coarse_psi_B);CHKERRQ(ierr); 741 } 742 ierr = MatDestroy(&coarse_sub_mat);CHKERRQ(ierr); 743 ierr = ISRestoreIndices(pcbddc->is_R_local,&idx_R_local);CHKERRQ(ierr); 744 ierr = PetscFree(coarsefunctions_errors);CHKERRQ(ierr); 745 ierr = PetscFree(constraints_errors);CHKERRQ(ierr); 746 } 747 /* free memory */ 748 if (n_vertices) { 749 ierr = VecDestroy(&vec1_V);CHKERRQ(ierr); 750 ierr = VecDestroy(&vec2_V);CHKERRQ(ierr); 751 ierr = MatDestroy(&A_RV);CHKERRQ(ierr); 752 ierr = MatDestroy(&A_VR);CHKERRQ(ierr); 753 ierr = MatDestroy(&A_VV);CHKERRQ(ierr); 754 } 755 if (n_constraints) { 756 ierr = VecDestroy(&vec1_C);CHKERRQ(ierr); 757 ierr = VecDestroy(&vec2_C);CHKERRQ(ierr); 758 ierr = MatDestroy(&M1);CHKERRQ(ierr); 759 ierr = MatDestroy(&C_CR);CHKERRQ(ierr); 760 } 761 ierr = PetscFree(auxindices);CHKERRQ(ierr); 762 /* get back data */ 763 *coarse_submat_vals_n = coarse_submat_vals; 764 PetscFunctionReturn(0); 765 } 766 767 #undef __FUNCT__ 768 #define __FUNCT__ "PCBDDCSetUpLocalMatrices" 769 PetscErrorCode PCBDDCSetUpLocalMatrices(PC pc) 770 { 771 PC_IS* pcis = (PC_IS*)(pc->data); 772 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 773 Mat_IS* matis = (Mat_IS*)pc->pmat->data; 774 PetscBool issbaij,isseqaij; 775 /* manage repeated solves */ 776 MatReuse reuse; 777 PetscErrorCode ierr; 778 779 PetscFunctionBegin; 780 if ( (pcbddc->use_change_of_basis && !pcbddc->ChangeOfBasisMatrix) || (pcbddc->user_ChangeOfBasisMatrix && !pcbddc->ChangeOfBasisMatrix) ) { 781 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"BDDC Change of basis matrix has not been created"); 782 } 783 /* get mat flags */ 784 reuse = MAT_INITIAL_MATRIX; 785 if (pc->setupcalled) { 786 if (pc->flag == SAME_NONZERO_PATTERN) { 787 reuse = MAT_REUSE_MATRIX; 788 } else { 789 reuse = MAT_INITIAL_MATRIX; 790 } 791 } 792 if (reuse == MAT_INITIAL_MATRIX) { 793 ierr = MatDestroy(&pcis->A_II);CHKERRQ(ierr); 794 ierr = MatDestroy(&pcis->A_IB);CHKERRQ(ierr); 795 ierr = MatDestroy(&pcis->A_BI);CHKERRQ(ierr); 796 ierr = MatDestroy(&pcis->A_BB);CHKERRQ(ierr); 797 ierr = MatDestroy(&pcbddc->local_mat);CHKERRQ(ierr); 798 } 799 800 /* transform local matrices if needed */ 801 if (pcbddc->ChangeOfBasisMatrix) { 802 Mat *change_mat_all; 803 IS is_local,is_global; 804 PetscBool sorted; 805 PetscInt *idxs_perm; 806 807 ierr = ISCreateStride(PETSC_COMM_SELF,pcis->n,0,1,&is_local);CHKERRQ(ierr); 808 ierr = ISLocalToGlobalMappingApplyIS(matis->mapping,is_local,&is_global);CHKERRQ(ierr); 809 ierr = ISDestroy(&is_local);CHKERRQ(ierr); 810 ierr = ISSorted(is_global,&sorted);CHKERRQ(ierr); 811 if (!sorted) { 812 const PetscInt *idxs; 813 PetscInt *idxs_sorted,i; 814 815 ierr = PetscMalloc1(pcis->n,&idxs_perm);CHKERRQ(ierr); 816 ierr = PetscMalloc1(pcis->n,&idxs_sorted);CHKERRQ(ierr); 817 for (i=0;i<pcis->n;i++) { 818 idxs_perm[i] = i; 819 } 820 ierr = ISGetIndices(is_global,&idxs);CHKERRQ(ierr); 821 ierr = PetscSortIntWithPermutation(pcis->n,idxs,idxs_perm);CHKERRQ(ierr); 822 for (i=0;i<pcis->n;i++) { 823 idxs_sorted[i] = idxs[idxs_perm[i]]; 824 } 825 ierr = ISRestoreIndices(is_global,&idxs);CHKERRQ(ierr); 826 ierr = ISDestroy(&is_global);CHKERRQ(ierr); 827 ierr = ISCreateGeneral(PETSC_COMM_SELF,pcis->n,idxs_sorted,PETSC_OWN_POINTER,&is_global);CHKERRQ(ierr); 828 } 829 830 /* get change of basis on the whole set of local dofs */ 831 ierr = MatGetSubMatrices(pcbddc->ChangeOfBasisMatrix,1,&is_global,&is_global,MAT_INITIAL_MATRIX,&change_mat_all);CHKERRQ(ierr); 832 833 if (!sorted) { 834 Mat new_mat; 835 IS is_perm; 836 PetscInt *idxs,i; 837 838 ierr = PetscMalloc1(pcis->n,&idxs);CHKERRQ(ierr); 839 for (i=0;i<pcis->n;i++) { 840 idxs[idxs_perm[i]] = i; 841 } 842 ierr = PetscFree(idxs_perm);CHKERRQ(ierr); 843 ierr = ISCreateGeneral(PETSC_COMM_SELF,pcis->n,idxs,PETSC_OWN_POINTER,&is_perm);CHKERRQ(ierr); 844 ierr = ISSetPermutation(is_perm);CHKERRQ(ierr); 845 ierr = MatPermute(change_mat_all[0],is_perm,is_perm,&new_mat);CHKERRQ(ierr); 846 ierr = MatDestroy(&change_mat_all[0]);CHKERRQ(ierr); 847 change_mat_all[0] = new_mat; 848 ierr = ISDestroy(&is_perm);CHKERRQ(ierr); 849 } 850 851 /* check */ 852 if (pcbddc->dbg_flag) { 853 Vec x,x_change; 854 PetscReal error; 855 856 ierr = VecDuplicate(pcis->vec1_global,&x);CHKERRQ(ierr); 857 ierr = VecDuplicate(pcis->vec1_global,&x_change);CHKERRQ(ierr); 858 ierr = VecSetRandom(x,NULL);CHKERRQ(ierr); 859 ierr = VecCopy(x,pcis->vec1_global);CHKERRQ(ierr); 860 ierr = VecScatterBegin(matis->ctx,x,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 861 ierr = VecScatterEnd(matis->ctx,x,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 862 ierr = MatMult(change_mat_all[0],pcis->vec1_N,pcis->vec2_N);CHKERRQ(ierr); 863 ierr = VecScatterBegin(matis->ctx,pcis->vec2_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 864 ierr = VecScatterEnd(matis->ctx,pcis->vec2_N,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 865 ierr = MatMult(pcbddc->ChangeOfBasisMatrix,pcis->vec1_global,x_change);CHKERRQ(ierr); 866 ierr = VecAXPY(x,-1.0,x_change);CHKERRQ(ierr); 867 ierr = VecNorm(x,NORM_INFINITY,&error);CHKERRQ(ierr); 868 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 869 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Error global vs local change on N: %1.6e\n",error);CHKERRQ(ierr); 870 ierr = VecDestroy(&x);CHKERRQ(ierr); 871 ierr = VecDestroy(&x_change);CHKERRQ(ierr); 872 } 873 874 /* TODO: HOW TO WORK WITH BAIJ and SBAIJ and SEQDENSE? */ 875 ierr = PetscObjectTypeCompare((PetscObject)matis->A,MATSEQAIJ,&isseqaij);CHKERRQ(ierr); 876 if (isseqaij) { 877 ierr = MatPtAP(matis->A,change_mat_all[0],reuse,2.0,&pcbddc->local_mat);CHKERRQ(ierr); 878 } else { 879 Mat work_mat; 880 ierr = MatConvert(matis->A,MATSEQAIJ,MAT_INITIAL_MATRIX,&work_mat);CHKERRQ(ierr); 881 ierr = MatPtAP(work_mat,change_mat_all[0],reuse,2.0,&pcbddc->local_mat);CHKERRQ(ierr); 882 ierr = MatDestroy(&work_mat);CHKERRQ(ierr); 883 } 884 /* 885 ierr = PetscViewerSetFormat(PETSC_VIEWER_STDOUT_SELF,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 886 ierr = MatView(change_mat_all,(PetscViewer)0);CHKERRQ(ierr); 887 */ 888 ierr = MatDestroyMatrices(1,&change_mat_all);CHKERRQ(ierr); 889 ierr = ISDestroy(&is_global);CHKERRQ(ierr); 890 } else { 891 /* without change of basis, the local matrix is unchanged */ 892 if (!pcbddc->local_mat) { 893 ierr = PetscObjectReference((PetscObject)matis->A);CHKERRQ(ierr); 894 pcbddc->local_mat = matis->A; 895 } 896 } 897 898 /* get submatrices */ 899 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_I_local,reuse,&pcis->A_II);CHKERRQ(ierr); 900 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_B_local,reuse,&pcis->A_BB);CHKERRQ(ierr); 901 ierr = PetscObjectTypeCompare((PetscObject)pcbddc->local_mat,MATSEQSBAIJ,&issbaij);CHKERRQ(ierr); 902 if (!issbaij) { 903 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_I_local,pcis->is_B_local,reuse,&pcis->A_IB);CHKERRQ(ierr); 904 ierr = MatGetSubMatrix(pcbddc->local_mat,pcis->is_B_local,pcis->is_I_local,reuse,&pcis->A_BI);CHKERRQ(ierr); 905 } else { 906 Mat newmat; 907 ierr = MatConvert(pcbddc->local_mat,MATSEQBAIJ,MAT_INITIAL_MATRIX,&newmat);CHKERRQ(ierr); 908 ierr = MatGetSubMatrix(newmat,pcis->is_I_local,pcis->is_B_local,reuse,&pcis->A_IB);CHKERRQ(ierr); 909 ierr = MatGetSubMatrix(newmat,pcis->is_B_local,pcis->is_I_local,reuse,&pcis->A_BI);CHKERRQ(ierr); 910 ierr = MatDestroy(&newmat);CHKERRQ(ierr); 911 } 912 PetscFunctionReturn(0); 913 } 914 915 #undef __FUNCT__ 916 #define __FUNCT__ "PCBDDCSetUpLocalScatters" 917 PetscErrorCode PCBDDCSetUpLocalScatters(PC pc) 918 { 919 PC_IS* pcis = (PC_IS*)(pc->data); 920 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 921 IS is_aux1,is_aux2; 922 PetscInt *aux_array1,*aux_array2,*is_indices,*idx_R_local; 923 PetscInt n_vertices,i,j,n_R,n_D,n_B; 924 PetscInt vbs,bs; 925 PetscBT bitmask; 926 PetscErrorCode ierr; 927 928 PetscFunctionBegin; 929 /* 930 No need to setup local scatters if 931 - primal space is unchanged 932 AND 933 - we actually have locally some primal dofs (could not be true in multilevel or for isolated subdomains) 934 AND 935 - we are not in debugging mode (this is needed since there are Synchronized prints at the end of the subroutine 936 */ 937 if (!pcbddc->new_primal_space_local && pcbddc->local_primal_size && !pcbddc->dbg_flag) { 938 PetscFunctionReturn(0); 939 } 940 /* destroy old objects */ 941 ierr = ISDestroy(&pcbddc->is_R_local);CHKERRQ(ierr); 942 ierr = VecScatterDestroy(&pcbddc->R_to_B);CHKERRQ(ierr); 943 ierr = VecScatterDestroy(&pcbddc->R_to_D);CHKERRQ(ierr); 944 /* Set Non-overlapping dimensions */ 945 n_B = pcis->n_B; n_D = pcis->n - n_B; 946 n_vertices = pcbddc->n_actual_vertices; 947 /* create auxiliary bitmask */ 948 ierr = PetscBTCreate(pcis->n,&bitmask);CHKERRQ(ierr); 949 for (i=0;i<n_vertices;i++) { 950 ierr = PetscBTSet(bitmask,pcbddc->primal_indices_local_idxs[i]);CHKERRQ(ierr); 951 } 952 953 /* Dohrmann's notation: dofs splitted in R (Remaining: all dofs but the vertices) and V (Vertices) */ 954 ierr = PetscMalloc1((pcis->n-n_vertices),&idx_R_local);CHKERRQ(ierr); 955 for (i=0, n_R=0; i<pcis->n; i++) { 956 if (!PetscBTLookup(bitmask,i)) { 957 idx_R_local[n_R] = i; 958 n_R++; 959 } 960 } 961 962 /* Block code */ 963 vbs = 1; 964 ierr = MatGetBlockSize(pcbddc->local_mat,&bs);CHKERRQ(ierr); 965 if (bs>1 && !(n_vertices%bs)) { 966 PetscBool is_blocked = PETSC_TRUE; 967 PetscInt *vary; 968 /* Verify if the vertex indices correspond to each element in a block (code taken from sbaij2.c) */ 969 ierr = PetscMalloc1(pcis->n/bs,&vary);CHKERRQ(ierr); 970 ierr = PetscMemzero(vary,pcis->n/bs*sizeof(PetscInt));CHKERRQ(ierr); 971 for (i=0; i<n_vertices; i++) vary[pcbddc->primal_indices_local_idxs[i]/bs]++; 972 for (i=0; i<n_vertices; i++) { 973 if (vary[i]!=0 && vary[i]!=bs) { 974 is_blocked = PETSC_FALSE; 975 break; 976 } 977 } 978 if (is_blocked) { /* build compressed IS for R nodes (complement of vertices) */ 979 vbs = bs; 980 for (i=0;i<n_R/vbs;i++) { 981 idx_R_local[i] = idx_R_local[vbs*i]/vbs; 982 } 983 } 984 ierr = PetscFree(vary);CHKERRQ(ierr); 985 } 986 ierr = ISCreateBlock(PETSC_COMM_SELF,vbs,n_R/vbs,idx_R_local,PETSC_COPY_VALUES,&pcbddc->is_R_local);CHKERRQ(ierr); 987 ierr = PetscFree(idx_R_local);CHKERRQ(ierr); 988 989 /* print some info if requested */ 990 if (pcbddc->dbg_flag) { 991 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 992 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 993 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 994 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d local dimensions\n",PetscGlobalRank);CHKERRQ(ierr); 995 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local_size = %d, dirichlet_size = %d, boundary_size = %d\n",pcis->n,n_D,n_B);CHKERRQ(ierr); 996 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"r_size = %d, v_size = %d, constraints = %d, local_primal_size = %d\n",n_R,n_vertices,pcbddc->local_primal_size-n_vertices,pcbddc->local_primal_size);CHKERRQ(ierr); 997 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"pcbddc->n_vertices = %d, pcbddc->n_constraints = %d\n",pcbddc->n_vertices,pcbddc->n_constraints);CHKERRQ(ierr); 998 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 999 } 1000 1001 /* VecScatters pcbddc->R_to_B and (optionally) pcbddc->R_to_D */ 1002 ierr = ISGetIndices(pcbddc->is_R_local,(const PetscInt**)&idx_R_local);CHKERRQ(ierr); 1003 ierr = PetscMalloc1((pcis->n_B-n_vertices),&aux_array1);CHKERRQ(ierr); 1004 ierr = PetscMalloc1((pcis->n_B-n_vertices),&aux_array2);CHKERRQ(ierr); 1005 ierr = ISGetIndices(pcis->is_I_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1006 for (i=0; i<n_D; i++) { 1007 ierr = PetscBTSet(bitmask,is_indices[i]);CHKERRQ(ierr); 1008 } 1009 ierr = ISRestoreIndices(pcis->is_I_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1010 for (i=0, j=0; i<n_R; i++) { 1011 if (!PetscBTLookup(bitmask,idx_R_local[i])) { 1012 aux_array1[j++] = i; 1013 } 1014 } 1015 ierr = ISCreateGeneral(PETSC_COMM_SELF,j,aux_array1,PETSC_OWN_POINTER,&is_aux1);CHKERRQ(ierr); 1016 ierr = ISGetIndices(pcis->is_B_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1017 for (i=0, j=0; i<n_B; i++) { 1018 if (!PetscBTLookup(bitmask,is_indices[i])) { 1019 aux_array2[j++] = i; 1020 } 1021 } 1022 ierr = ISRestoreIndices(pcis->is_B_local,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1023 ierr = ISCreateGeneral(PETSC_COMM_SELF,j,aux_array2,PETSC_OWN_POINTER,&is_aux2);CHKERRQ(ierr); 1024 ierr = VecScatterCreate(pcbddc->vec1_R,is_aux1,pcis->vec1_B,is_aux2,&pcbddc->R_to_B);CHKERRQ(ierr); 1025 ierr = ISDestroy(&is_aux1);CHKERRQ(ierr); 1026 ierr = ISDestroy(&is_aux2);CHKERRQ(ierr); 1027 1028 if (pcbddc->switch_static || pcbddc->dbg_flag) { 1029 ierr = PetscMalloc1(n_D,&aux_array1);CHKERRQ(ierr); 1030 for (i=0, j=0; i<n_R; i++) { 1031 if (PetscBTLookup(bitmask,idx_R_local[i])) { 1032 aux_array1[j++] = i; 1033 } 1034 } 1035 ierr = ISCreateGeneral(PETSC_COMM_SELF,j,aux_array1,PETSC_OWN_POINTER,&is_aux1);CHKERRQ(ierr); 1036 ierr = VecScatterCreate(pcbddc->vec1_R,is_aux1,pcis->vec1_D,(IS)0,&pcbddc->R_to_D);CHKERRQ(ierr); 1037 ierr = ISDestroy(&is_aux1);CHKERRQ(ierr); 1038 } 1039 ierr = PetscBTDestroy(&bitmask);CHKERRQ(ierr); 1040 ierr = ISRestoreIndices(pcbddc->is_R_local,(const PetscInt**)&idx_R_local);CHKERRQ(ierr); 1041 PetscFunctionReturn(0); 1042 } 1043 1044 1045 #undef __FUNCT__ 1046 #define __FUNCT__ "PCBDDCSetUpLocalSolvers" 1047 PetscErrorCode PCBDDCSetUpLocalSolvers(PC pc) 1048 { 1049 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 1050 PC_IS *pcis = (PC_IS*)pc->data; 1051 PC pc_temp; 1052 Mat A_RR; 1053 MatReuse reuse; 1054 PetscScalar m_one = -1.0; 1055 PetscReal value; 1056 PetscInt n_D,n_R,ibs,mbs; 1057 PetscBool use_exact,use_exact_reduced,issbaij; 1058 PetscErrorCode ierr; 1059 /* prefixes stuff */ 1060 char dir_prefix[256],neu_prefix[256],str_level[16]; 1061 size_t len; 1062 1063 PetscFunctionBegin; 1064 1065 /* compute prefixes */ 1066 ierr = PetscStrcpy(dir_prefix,"");CHKERRQ(ierr); 1067 ierr = PetscStrcpy(neu_prefix,"");CHKERRQ(ierr); 1068 if (!pcbddc->current_level) { 1069 ierr = PetscStrcpy(dir_prefix,((PetscObject)pc)->prefix);CHKERRQ(ierr); 1070 ierr = PetscStrcpy(neu_prefix,((PetscObject)pc)->prefix);CHKERRQ(ierr); 1071 ierr = PetscStrcat(dir_prefix,"pc_bddc_dirichlet_");CHKERRQ(ierr); 1072 ierr = PetscStrcat(neu_prefix,"pc_bddc_neumann_");CHKERRQ(ierr); 1073 } else { 1074 ierr = PetscStrcpy(str_level,"");CHKERRQ(ierr); 1075 sprintf(str_level,"l%d_",(int)(pcbddc->current_level)); 1076 ierr = PetscStrlen(((PetscObject)pc)->prefix,&len);CHKERRQ(ierr); 1077 len -= 15; /* remove "pc_bddc_coarse_" */ 1078 if (pcbddc->current_level>1) len -= 3; /* remove "lX_" with X level number */ 1079 if (pcbddc->current_level>10) len -= 1; /* remove another char from level number */ 1080 ierr = PetscStrncpy(dir_prefix,((PetscObject)pc)->prefix,len+1);CHKERRQ(ierr); 1081 ierr = PetscStrncpy(neu_prefix,((PetscObject)pc)->prefix,len+1);CHKERRQ(ierr); 1082 ierr = PetscStrcat(dir_prefix,"pc_bddc_dirichlet_");CHKERRQ(ierr); 1083 ierr = PetscStrcat(neu_prefix,"pc_bddc_neumann_");CHKERRQ(ierr); 1084 ierr = PetscStrcat(dir_prefix,str_level);CHKERRQ(ierr); 1085 ierr = PetscStrcat(neu_prefix,str_level);CHKERRQ(ierr); 1086 } 1087 1088 /* DIRICHLET PROBLEM */ 1089 /* Matrix for Dirichlet problem is pcis->A_II */ 1090 ierr = ISGetSize(pcis->is_I_local,&n_D);CHKERRQ(ierr); 1091 if (!pcbddc->ksp_D) { /* create object if not yet build */ 1092 ierr = KSPCreate(PETSC_COMM_SELF,&pcbddc->ksp_D);CHKERRQ(ierr); 1093 ierr = PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_D,(PetscObject)pc,1);CHKERRQ(ierr); 1094 /* default */ 1095 ierr = KSPSetType(pcbddc->ksp_D,KSPPREONLY);CHKERRQ(ierr); 1096 ierr = KSPSetOptionsPrefix(pcbddc->ksp_D,dir_prefix);CHKERRQ(ierr); 1097 ierr = PetscObjectTypeCompare((PetscObject)pcis->A_II,MATSEQSBAIJ,&issbaij);CHKERRQ(ierr); 1098 ierr = KSPGetPC(pcbddc->ksp_D,&pc_temp);CHKERRQ(ierr); 1099 if (issbaij) { 1100 ierr = PCSetType(pc_temp,PCCHOLESKY);CHKERRQ(ierr); 1101 } else { 1102 ierr = PCSetType(pc_temp,PCLU);CHKERRQ(ierr); 1103 } 1104 /* Allow user's customization */ 1105 ierr = KSPSetFromOptions(pcbddc->ksp_D);CHKERRQ(ierr); 1106 ierr = PCFactorSetReuseFill(pc_temp,PETSC_TRUE);CHKERRQ(ierr); 1107 } 1108 ierr = KSPSetOperators(pcbddc->ksp_D,pcis->A_II,pcis->A_II);CHKERRQ(ierr); 1109 /* umfpack interface has a bug when matrix dimension is zero. TODO solve from umfpack interface */ 1110 if (!n_D) { 1111 ierr = KSPGetPC(pcbddc->ksp_D,&pc_temp);CHKERRQ(ierr); 1112 ierr = PCSetType(pc_temp,PCNONE);CHKERRQ(ierr); 1113 } 1114 /* Set Up KSP for Dirichlet problem of BDDC */ 1115 ierr = KSPSetUp(pcbddc->ksp_D);CHKERRQ(ierr); 1116 /* set ksp_D into pcis data */ 1117 ierr = KSPDestroy(&pcis->ksp_D);CHKERRQ(ierr); 1118 ierr = PetscObjectReference((PetscObject)pcbddc->ksp_D);CHKERRQ(ierr); 1119 pcis->ksp_D = pcbddc->ksp_D; 1120 1121 /* NEUMANN PROBLEM */ 1122 /* Matrix for Neumann problem is A_RR -> we need to create/reuse it at this point */ 1123 ierr = ISGetSize(pcbddc->is_R_local,&n_R);CHKERRQ(ierr); 1124 if (pcbddc->ksp_R) { /* already created ksp */ 1125 PetscInt nn_R; 1126 ierr = KSPGetOperators(pcbddc->ksp_R,NULL,&A_RR);CHKERRQ(ierr); 1127 ierr = PetscObjectReference((PetscObject)A_RR);CHKERRQ(ierr); 1128 ierr = MatGetSize(A_RR,&nn_R,NULL);CHKERRQ(ierr); 1129 if (nn_R != n_R) { /* old ksp is not reusable, so reset it */ 1130 ierr = KSPReset(pcbddc->ksp_R);CHKERRQ(ierr); 1131 ierr = MatDestroy(&A_RR);CHKERRQ(ierr); 1132 reuse = MAT_INITIAL_MATRIX; 1133 } else { /* same sizes, but nonzero pattern depend on primal vertices so it can be changed */ 1134 if (pcbddc->new_primal_space_local) { /* we are not sure the matrix will have the same nonzero pattern */ 1135 ierr = MatDestroy(&A_RR);CHKERRQ(ierr); 1136 reuse = MAT_INITIAL_MATRIX; 1137 } else { /* safe to reuse the matrix */ 1138 reuse = MAT_REUSE_MATRIX; 1139 } 1140 } 1141 /* last check */ 1142 if (pc->flag == DIFFERENT_NONZERO_PATTERN) { 1143 ierr = MatDestroy(&A_RR);CHKERRQ(ierr); 1144 reuse = MAT_INITIAL_MATRIX; 1145 } 1146 } else { /* first time, so we need to create the matrix */ 1147 reuse = MAT_INITIAL_MATRIX; 1148 } 1149 /* extract A_RR */ 1150 ierr = MatGetBlockSize(pcbddc->local_mat,&mbs);CHKERRQ(ierr); 1151 ierr = ISGetBlockSize(pcbddc->is_R_local,&ibs);CHKERRQ(ierr); 1152 if (ibs != mbs) { 1153 Mat newmat; 1154 ierr = MatConvert(pcbddc->local_mat,MATSEQAIJ,MAT_INITIAL_MATRIX,&newmat);CHKERRQ(ierr); 1155 ierr = MatGetSubMatrix(newmat,pcbddc->is_R_local,pcbddc->is_R_local,reuse,&A_RR);CHKERRQ(ierr); 1156 ierr = MatDestroy(&newmat);CHKERRQ(ierr); 1157 } else { 1158 ierr = MatGetSubMatrix(pcbddc->local_mat,pcbddc->is_R_local,pcbddc->is_R_local,reuse,&A_RR);CHKERRQ(ierr); 1159 } 1160 if (!pcbddc->ksp_R) { /* create object if not present */ 1161 ierr = KSPCreate(PETSC_COMM_SELF,&pcbddc->ksp_R);CHKERRQ(ierr); 1162 ierr = PetscObjectIncrementTabLevel((PetscObject)pcbddc->ksp_R,(PetscObject)pc,1);CHKERRQ(ierr); 1163 /* default */ 1164 ierr = KSPSetType(pcbddc->ksp_R,KSPPREONLY);CHKERRQ(ierr); 1165 ierr = KSPSetOptionsPrefix(pcbddc->ksp_R,neu_prefix);CHKERRQ(ierr); 1166 ierr = KSPGetPC(pcbddc->ksp_R,&pc_temp);CHKERRQ(ierr); 1167 ierr = PetscObjectTypeCompare((PetscObject)A_RR,MATSEQSBAIJ,&issbaij);CHKERRQ(ierr); 1168 if (issbaij) { 1169 ierr = PCSetType(pc_temp,PCCHOLESKY);CHKERRQ(ierr); 1170 } else { 1171 ierr = PCSetType(pc_temp,PCLU);CHKERRQ(ierr); 1172 } 1173 /* Allow user's customization */ 1174 ierr = KSPSetFromOptions(pcbddc->ksp_R);CHKERRQ(ierr); 1175 ierr = PCFactorSetReuseFill(pc_temp,PETSC_TRUE);CHKERRQ(ierr); 1176 } 1177 ierr = KSPSetOperators(pcbddc->ksp_R,A_RR,A_RR);CHKERRQ(ierr); 1178 /* umfpack interface has a bug when matrix dimension is zero. TODO solve from umfpack interface */ 1179 if (!n_R) { 1180 ierr = KSPGetPC(pcbddc->ksp_R,&pc_temp);CHKERRQ(ierr); 1181 ierr = PCSetType(pc_temp,PCNONE);CHKERRQ(ierr); 1182 } 1183 /* Set Up KSP for Neumann problem of BDDC */ 1184 ierr = KSPSetUp(pcbddc->ksp_R);CHKERRQ(ierr); 1185 1186 /* check Dirichlet and Neumann solvers and adapt them if a nullspace correction is needed */ 1187 if (pcbddc->NullSpace || pcbddc->dbg_flag) { 1188 /* Dirichlet */ 1189 ierr = VecSetRandom(pcis->vec1_D,NULL);CHKERRQ(ierr); 1190 ierr = MatMult(pcis->A_II,pcis->vec1_D,pcis->vec2_D);CHKERRQ(ierr); 1191 ierr = KSPSolve(pcbddc->ksp_D,pcis->vec2_D,pcis->vec2_D);CHKERRQ(ierr); 1192 ierr = VecAXPY(pcis->vec1_D,m_one,pcis->vec2_D);CHKERRQ(ierr); 1193 ierr = VecNorm(pcis->vec1_D,NORM_INFINITY,&value);CHKERRQ(ierr); 1194 /* need to be adapted? */ 1195 use_exact = (PetscAbsReal(value) > 1.e-4 ? PETSC_FALSE : PETSC_TRUE); 1196 ierr = MPI_Allreduce(&use_exact,&use_exact_reduced,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 1197 ierr = PCBDDCSetUseExactDirichlet(pc,use_exact_reduced);CHKERRQ(ierr); 1198 /* print info */ 1199 if (pcbddc->dbg_flag) { 1200 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 1201 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 1202 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 1203 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Checking solution of Dirichlet and Neumann problems\n");CHKERRQ(ierr); 1204 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d infinity error for Dirichlet solve (%s) = % 1.14e \n",PetscGlobalRank,((PetscObject)(pcbddc->ksp_D))->prefix,value);CHKERRQ(ierr); 1205 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 1206 } 1207 if (pcbddc->NullSpace && !use_exact_reduced && !pcbddc->switch_static) { 1208 ierr = PCBDDCNullSpaceAssembleCorrection(pc,pcis->is_I_local);CHKERRQ(ierr); 1209 } 1210 1211 /* Neumann */ 1212 ierr = VecSetRandom(pcbddc->vec1_R,NULL);CHKERRQ(ierr); 1213 ierr = MatMult(A_RR,pcbddc->vec1_R,pcbddc->vec2_R);CHKERRQ(ierr); 1214 ierr = KSPSolve(pcbddc->ksp_R,pcbddc->vec2_R,pcbddc->vec2_R);CHKERRQ(ierr); 1215 ierr = VecAXPY(pcbddc->vec1_R,m_one,pcbddc->vec2_R);CHKERRQ(ierr); 1216 ierr = VecNorm(pcbddc->vec1_R,NORM_INFINITY,&value);CHKERRQ(ierr); 1217 /* need to be adapted? */ 1218 use_exact = (PetscAbsReal(value) > 1.e-4 ? PETSC_FALSE : PETSC_TRUE); 1219 ierr = MPI_Allreduce(&use_exact,&use_exact_reduced,1,MPIU_BOOL,MPI_LAND,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 1220 /* print info */ 1221 if (pcbddc->dbg_flag) { 1222 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d infinity error for Neumann solve (%s) = % 1.14e \n",PetscGlobalRank,((PetscObject)(pcbddc->ksp_R))->prefix,value);CHKERRQ(ierr); 1223 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 1224 } 1225 if (pcbddc->NullSpace && !use_exact_reduced) { /* is it the right logic? */ 1226 ierr = PCBDDCNullSpaceAssembleCorrection(pc,pcbddc->is_R_local);CHKERRQ(ierr); 1227 } 1228 } 1229 /* free Neumann problem's matrix */ 1230 ierr = MatDestroy(&A_RR);CHKERRQ(ierr); 1231 PetscFunctionReturn(0); 1232 } 1233 1234 #undef __FUNCT__ 1235 #define __FUNCT__ "PCBDDCSolveSubstructureCorrection" 1236 static PetscErrorCode PCBDDCSolveSubstructureCorrection(PC pc, Vec rhs, Vec sol, Vec work, PetscBool applytranspose) 1237 { 1238 PetscErrorCode ierr; 1239 PC_BDDC* pcbddc = (PC_BDDC*)(pc->data); 1240 1241 PetscFunctionBegin; 1242 if (applytranspose) { 1243 if (pcbddc->local_auxmat1) { 1244 ierr = MatMultTranspose(pcbddc->local_auxmat2,rhs,work);CHKERRQ(ierr); 1245 ierr = MatMultTransposeAdd(pcbddc->local_auxmat1,work,rhs,rhs);CHKERRQ(ierr); 1246 } 1247 ierr = KSPSolveTranspose(pcbddc->ksp_R,rhs,sol);CHKERRQ(ierr); 1248 } else { 1249 ierr = KSPSolve(pcbddc->ksp_R,rhs,sol);CHKERRQ(ierr); 1250 if (pcbddc->local_auxmat1) { 1251 ierr = MatMult(pcbddc->local_auxmat1,sol,work);CHKERRQ(ierr); 1252 ierr = MatMultAdd(pcbddc->local_auxmat2,work,sol,sol);CHKERRQ(ierr); 1253 } 1254 } 1255 PetscFunctionReturn(0); 1256 } 1257 1258 /* parameter apply transpose determines if the interface preconditioner should be applied transposed or not */ 1259 #undef __FUNCT__ 1260 #define __FUNCT__ "PCBDDCApplyInterfacePreconditioner" 1261 PetscErrorCode PCBDDCApplyInterfacePreconditioner(PC pc, PetscBool applytranspose) 1262 { 1263 PetscErrorCode ierr; 1264 PC_BDDC* pcbddc = (PC_BDDC*)(pc->data); 1265 PC_IS* pcis = (PC_IS*) (pc->data); 1266 const PetscScalar zero = 0.0; 1267 1268 PetscFunctionBegin; 1269 /* Application of PSI^T or PHI^T (depending on applytranspose, see comment above) */ 1270 if (applytranspose) { 1271 ierr = MatMultTranspose(pcbddc->coarse_phi_B,pcis->vec1_B,pcbddc->vec1_P);CHKERRQ(ierr); 1272 if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcbddc->coarse_phi_D,pcis->vec1_D,pcbddc->vec1_P,pcbddc->vec1_P);CHKERRQ(ierr); } 1273 } else { 1274 ierr = MatMultTranspose(pcbddc->coarse_psi_B,pcis->vec1_B,pcbddc->vec1_P);CHKERRQ(ierr); 1275 if (pcbddc->switch_static) { ierr = MatMultTransposeAdd(pcbddc->coarse_psi_D,pcis->vec1_D,pcbddc->vec1_P,pcbddc->vec1_P);CHKERRQ(ierr); } 1276 } 1277 /* start communications from local primal nodes to rhs of coarse solver */ 1278 ierr = VecSet(pcbddc->coarse_vec,zero);CHKERRQ(ierr); 1279 ierr = PCBDDCScatterCoarseDataBegin(pc,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1280 ierr = PCBDDCScatterCoarseDataEnd(pc,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1281 1282 /* Coarse solution -> rhs and sol updated inside PCBDDCScattarCoarseDataBegin/End */ 1283 /* TODO remove null space when doing multilevel */ 1284 if (pcbddc->coarse_ksp) { 1285 if (applytranspose) { 1286 ierr = KSPSolveTranspose(pcbddc->coarse_ksp,NULL,NULL);CHKERRQ(ierr); 1287 } else { 1288 ierr = KSPSolve(pcbddc->coarse_ksp,NULL,NULL);CHKERRQ(ierr); 1289 } 1290 } 1291 1292 /* Local solution on R nodes */ 1293 if (pcis->n) { 1294 ierr = VecSet(pcbddc->vec1_R,zero);CHKERRQ(ierr); 1295 ierr = VecScatterBegin(pcbddc->R_to_B,pcis->vec1_B,pcbddc->vec1_R,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1296 ierr = VecScatterEnd(pcbddc->R_to_B,pcis->vec1_B,pcbddc->vec1_R,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1297 if (pcbddc->switch_static) { 1298 ierr = VecScatterBegin(pcbddc->R_to_D,pcis->vec1_D,pcbddc->vec1_R,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1299 ierr = VecScatterEnd(pcbddc->R_to_D,pcis->vec1_D,pcbddc->vec1_R,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1300 } 1301 ierr = PCBDDCSolveSubstructureCorrection(pc,pcbddc->vec1_R,pcbddc->vec2_R,pcbddc->vec1_C,applytranspose);CHKERRQ(ierr); 1302 ierr = VecSet(pcis->vec1_B,zero);CHKERRQ(ierr); 1303 ierr = VecScatterBegin(pcbddc->R_to_B,pcbddc->vec2_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1304 ierr = VecScatterEnd(pcbddc->R_to_B,pcbddc->vec2_R,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1305 if (pcbddc->switch_static) { 1306 ierr = VecScatterBegin(pcbddc->R_to_D,pcbddc->vec2_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1307 ierr = VecScatterEnd(pcbddc->R_to_D,pcbddc->vec2_R,pcis->vec1_D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1308 } 1309 } 1310 1311 /* communications from coarse sol to local primal nodes */ 1312 ierr = PCBDDCScatterCoarseDataBegin(pc,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1313 ierr = PCBDDCScatterCoarseDataEnd(pc,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 1314 1315 /* Sum contributions from two levels */ 1316 if (applytranspose) { 1317 ierr = MatMultAdd(pcbddc->coarse_psi_B,pcbddc->vec1_P,pcis->vec1_B,pcis->vec1_B);CHKERRQ(ierr); 1318 if (pcbddc->switch_static) { ierr = MatMultAdd(pcbddc->coarse_psi_D,pcbddc->vec1_P,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); } 1319 } else { 1320 ierr = MatMultAdd(pcbddc->coarse_phi_B,pcbddc->vec1_P,pcis->vec1_B,pcis->vec1_B);CHKERRQ(ierr); 1321 if (pcbddc->switch_static) { ierr = MatMultAdd(pcbddc->coarse_phi_D,pcbddc->vec1_P,pcis->vec1_D,pcis->vec1_D);CHKERRQ(ierr); } 1322 } 1323 PetscFunctionReturn(0); 1324 } 1325 1326 /* TODO: the following two function can be optimized using VecPlaceArray whenever possible and using overlap flag */ 1327 #undef __FUNCT__ 1328 #define __FUNCT__ "PCBDDCScatterCoarseDataBegin" 1329 PetscErrorCode PCBDDCScatterCoarseDataBegin(PC pc,InsertMode imode, ScatterMode smode) 1330 { 1331 PetscErrorCode ierr; 1332 PC_BDDC* pcbddc = (PC_BDDC*)(pc->data); 1333 PetscScalar *array,*array2; 1334 Vec from,to; 1335 1336 PetscFunctionBegin; 1337 if (smode == SCATTER_REVERSE) { /* from global to local -> get data from coarse solution */ 1338 from = pcbddc->coarse_vec; 1339 to = pcbddc->vec1_P; 1340 if (pcbddc->coarse_ksp) { /* get array from coarse processes */ 1341 Vec tvec; 1342 PetscInt lsize; 1343 ierr = KSPGetSolution(pcbddc->coarse_ksp,&tvec);CHKERRQ(ierr); 1344 ierr = VecGetLocalSize(tvec,&lsize);CHKERRQ(ierr); 1345 ierr = VecGetArrayRead(tvec,(const PetscScalar**)&array);CHKERRQ(ierr); 1346 ierr = VecGetArray(from,&array2);CHKERRQ(ierr); 1347 ierr = PetscMemcpy(array2,array,lsize*sizeof(PetscScalar));CHKERRQ(ierr); 1348 ierr = VecRestoreArrayRead(tvec,(const PetscScalar**)&array);CHKERRQ(ierr); 1349 ierr = VecRestoreArray(from,&array2);CHKERRQ(ierr); 1350 } 1351 } else { /* from local to global -> put data in coarse right hand side */ 1352 from = pcbddc->vec1_P; 1353 to = pcbddc->coarse_vec; 1354 } 1355 ierr = VecScatterBegin(pcbddc->coarse_loc_to_glob,from,to,imode,smode);CHKERRQ(ierr); 1356 PetscFunctionReturn(0); 1357 } 1358 1359 #undef __FUNCT__ 1360 #define __FUNCT__ "PCBDDCScatterCoarseDataEnd" 1361 PetscErrorCode PCBDDCScatterCoarseDataEnd(PC pc, InsertMode imode, ScatterMode smode) 1362 { 1363 PetscErrorCode ierr; 1364 PC_BDDC* pcbddc = (PC_BDDC*)(pc->data); 1365 PetscScalar *array,*array2; 1366 Vec from,to; 1367 1368 PetscFunctionBegin; 1369 if (smode == SCATTER_REVERSE) { /* from global to local -> get data from coarse solution */ 1370 from = pcbddc->coarse_vec; 1371 to = pcbddc->vec1_P; 1372 } else { /* from local to global -> put data in coarse right hand side */ 1373 from = pcbddc->vec1_P; 1374 to = pcbddc->coarse_vec; 1375 } 1376 ierr = VecScatterEnd(pcbddc->coarse_loc_to_glob,from,to,imode,smode);CHKERRQ(ierr); 1377 if (smode == SCATTER_FORWARD) { 1378 if (pcbddc->coarse_ksp) { /* get array from coarse processes */ 1379 Vec tvec; 1380 PetscInt lsize; 1381 ierr = KSPGetRhs(pcbddc->coarse_ksp,&tvec);CHKERRQ(ierr); 1382 ierr = VecGetLocalSize(tvec,&lsize);CHKERRQ(ierr); 1383 ierr = VecGetArrayRead(to,(const PetscScalar**)&array);CHKERRQ(ierr); 1384 ierr = VecGetArray(tvec,&array2);CHKERRQ(ierr); 1385 ierr = PetscMemcpy(array2,array,lsize*sizeof(PetscScalar));CHKERRQ(ierr); 1386 ierr = VecRestoreArrayRead(to,(const PetscScalar**)&array);CHKERRQ(ierr); 1387 ierr = VecRestoreArray(tvec,&array2);CHKERRQ(ierr); 1388 } 1389 } 1390 PetscFunctionReturn(0); 1391 } 1392 1393 /* uncomment for testing purposes */ 1394 /* #define PETSC_MISSING_LAPACK_GESVD 1 */ 1395 #undef __FUNCT__ 1396 #define __FUNCT__ "PCBDDCConstraintsSetUp" 1397 PetscErrorCode PCBDDCConstraintsSetUp(PC pc) 1398 { 1399 PetscErrorCode ierr; 1400 PC_IS* pcis = (PC_IS*)(pc->data); 1401 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 1402 Mat_IS* matis = (Mat_IS*)pc->pmat->data; 1403 /* constraint and (optionally) change of basis matrix implemented as SeqAIJ */ 1404 MatType impMatType=MATSEQAIJ; 1405 /* one and zero */ 1406 PetscScalar one=1.0,zero=0.0; 1407 /* space to store constraints and their local indices */ 1408 PetscScalar *temp_quadrature_constraint; 1409 PetscInt *temp_indices,*temp_indices_to_constraint,*temp_indices_to_constraint_B; 1410 /* iterators */ 1411 PetscInt i,j,k,total_counts,temp_start_ptr; 1412 /* stuff to store connected components stored in pcbddc->mat_graph */ 1413 IS ISForVertices,*ISForFaces,*ISForEdges,*used_IS; 1414 PetscInt n_ISForFaces,n_ISForEdges; 1415 /* near null space stuff */ 1416 MatNullSpace nearnullsp; 1417 const Vec *nearnullvecs; 1418 Vec *localnearnullsp; 1419 PetscBool nnsp_has_cnst; 1420 PetscInt nnsp_size; 1421 PetscScalar *array; 1422 /* BLAS integers */ 1423 PetscBLASInt lwork,lierr; 1424 PetscBLASInt Blas_N,Blas_M,Blas_K,Blas_one=1; 1425 PetscBLASInt Blas_LDA,Blas_LDB,Blas_LDC; 1426 /* LAPACK working arrays for SVD or POD */ 1427 PetscBool skip_lapack; 1428 PetscScalar *work; 1429 PetscReal *singular_vals; 1430 #if defined(PETSC_USE_COMPLEX) 1431 PetscReal *rwork; 1432 #endif 1433 #if defined(PETSC_MISSING_LAPACK_GESVD) 1434 PetscBLASInt Blas_one_2=1; 1435 PetscScalar *temp_basis,*correlation_mat; 1436 #else 1437 PetscBLASInt dummy_int_1=1,dummy_int_2=1; 1438 PetscScalar dummy_scalar_1=0.0,dummy_scalar_2=0.0; 1439 #endif 1440 /* reuse */ 1441 PetscInt olocal_primal_size; 1442 PetscInt *oprimal_indices_local_idxs; 1443 /* change of basis */ 1444 PetscInt *aux_primal_numbering,*aux_primal_minloc,*global_indices; 1445 PetscBool boolforchange,qr_needed; 1446 PetscBT touched,change_basis,qr_needed_idx; 1447 /* auxiliary stuff */ 1448 PetscInt *nnz,*is_indices,*aux_primal_numbering_B; 1449 /* some quantities */ 1450 PetscInt n_vertices,total_primal_vertices,valid_constraints; 1451 PetscInt size_of_constraint,max_size_of_constraint,max_constraints,temp_constraints; 1452 1453 1454 PetscFunctionBegin; 1455 /* Destroy Mat objects computed previously */ 1456 ierr = MatDestroy(&pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr); 1457 ierr = MatDestroy(&pcbddc->ConstraintMatrix);CHKERRQ(ierr); 1458 /* Get index sets for faces, edges and vertices from graph */ 1459 ierr = PCBDDCGraphGetCandidatesIS(pcbddc->mat_graph,&n_ISForFaces,&ISForFaces,&n_ISForEdges,&ISForEdges,&ISForVertices);CHKERRQ(ierr); 1460 /* free unneeded index sets */ 1461 if (!pcbddc->use_vertices) { 1462 ierr = ISDestroy(&ISForVertices);CHKERRQ(ierr); 1463 } 1464 if (!pcbddc->use_edges) { 1465 for (i=0;i<n_ISForEdges;i++) { 1466 ierr = ISDestroy(&ISForEdges[i]);CHKERRQ(ierr); 1467 } 1468 ierr = PetscFree(ISForEdges);CHKERRQ(ierr); 1469 n_ISForEdges = 0; 1470 } 1471 if (!pcbddc->use_faces) { 1472 for (i=0;i<n_ISForFaces;i++) { 1473 ierr = ISDestroy(&ISForFaces[i]);CHKERRQ(ierr); 1474 } 1475 ierr = PetscFree(ISForFaces);CHKERRQ(ierr); 1476 n_ISForFaces = 0; 1477 } 1478 /* HACKS (the following two blocks of code) */ 1479 if (!ISForVertices && pcbddc->NullSpace && !pcbddc->user_ChangeOfBasisMatrix) { 1480 pcbddc->use_change_of_basis = PETSC_TRUE; 1481 if (!ISForEdges) { 1482 pcbddc->use_change_on_faces = PETSC_TRUE; 1483 } 1484 } 1485 if (pcbddc->NullSpace) { 1486 /* use_change_of_basis should be consistent among processors */ 1487 PetscBool tbool[2],gbool[2]; 1488 tbool [0] = pcbddc->use_change_of_basis; 1489 tbool [1] = pcbddc->use_change_on_faces; 1490 ierr = MPI_Allreduce(tbool,gbool,2,MPIU_BOOL,MPI_LOR,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 1491 pcbddc->use_change_of_basis = gbool[0]; 1492 pcbddc->use_change_on_faces = gbool[1]; 1493 } 1494 /* print some info */ 1495 if (pcbddc->dbg_flag) { 1496 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 1497 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"--------------------------------------------------------------\n");CHKERRQ(ierr); 1498 i = 0; 1499 if (ISForVertices) { 1500 ierr = ISGetSize(ISForVertices,&i);CHKERRQ(ierr); 1501 } 1502 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d got %02d local candidate vertices\n",PetscGlobalRank,i);CHKERRQ(ierr); 1503 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d got %02d local candidate edges\n",PetscGlobalRank,n_ISForEdges);CHKERRQ(ierr); 1504 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d got %02d local candidate faces\n",PetscGlobalRank,n_ISForFaces);CHKERRQ(ierr); 1505 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 1506 } 1507 /* check if near null space is attached to global mat */ 1508 ierr = MatGetNearNullSpace(pc->pmat,&nearnullsp);CHKERRQ(ierr); 1509 if (nearnullsp) { 1510 ierr = MatNullSpaceGetVecs(nearnullsp,&nnsp_has_cnst,&nnsp_size,&nearnullvecs);CHKERRQ(ierr); 1511 /* remove any stored info */ 1512 ierr = MatNullSpaceDestroy(&pcbddc->onearnullspace);CHKERRQ(ierr); 1513 ierr = PetscFree(pcbddc->onearnullvecs_state);CHKERRQ(ierr); 1514 /* store information for BDDC solver reuse */ 1515 ierr = PetscObjectReference((PetscObject)nearnullsp);CHKERRQ(ierr); 1516 pcbddc->onearnullspace = nearnullsp; 1517 ierr = PetscMalloc1(nnsp_size,&pcbddc->onearnullvecs_state);CHKERRQ(ierr); 1518 for (i=0;i<nnsp_size;i++) { 1519 ierr = PetscObjectStateGet((PetscObject)nearnullvecs[i],&pcbddc->onearnullvecs_state[i]);CHKERRQ(ierr); 1520 } 1521 } else { /* if near null space is not provided BDDC uses constants by default */ 1522 nnsp_size = 0; 1523 nnsp_has_cnst = PETSC_TRUE; 1524 } 1525 /* get max number of constraints on a single cc */ 1526 max_constraints = nnsp_size; 1527 if (nnsp_has_cnst) max_constraints++; 1528 1529 /* 1530 Evaluate maximum storage size needed by the procedure 1531 - temp_indices will contain start index of each constraint stored as follows 1532 - temp_indices_to_constraint [temp_indices[i],...,temp[indices[i+1]-1] will contain the indices (in local numbering) on which the constraint acts 1533 - temp_indices_to_constraint_B[temp_indices[i],...,temp[indices[i+1]-1] will contain the indices (in boundary numbering) on which the constraint acts 1534 - temp_quadrature_constraint [temp_indices[i],...,temp[indices[i+1]-1] will contain the scalars representing the constraint itself 1535 */ 1536 total_counts = n_ISForFaces+n_ISForEdges; 1537 total_counts *= max_constraints; 1538 n_vertices = 0; 1539 if (ISForVertices) { 1540 ierr = ISGetSize(ISForVertices,&n_vertices);CHKERRQ(ierr); 1541 } 1542 total_counts += n_vertices; 1543 ierr = PetscMalloc1((total_counts+1),&temp_indices);CHKERRQ(ierr); 1544 ierr = PetscBTCreate(total_counts,&change_basis);CHKERRQ(ierr); 1545 total_counts = 0; 1546 max_size_of_constraint = 0; 1547 for (i=0;i<n_ISForEdges+n_ISForFaces;i++) { 1548 if (i<n_ISForEdges) { 1549 used_IS = &ISForEdges[i]; 1550 } else { 1551 used_IS = &ISForFaces[i-n_ISForEdges]; 1552 } 1553 ierr = ISGetSize(*used_IS,&j);CHKERRQ(ierr); 1554 total_counts += j; 1555 max_size_of_constraint = PetscMax(j,max_size_of_constraint); 1556 } 1557 total_counts *= max_constraints; 1558 total_counts += n_vertices; 1559 ierr = PetscMalloc3(total_counts,&temp_quadrature_constraint,total_counts,&temp_indices_to_constraint,total_counts,&temp_indices_to_constraint_B);CHKERRQ(ierr); 1560 /* get local part of global near null space vectors */ 1561 ierr = PetscMalloc1(nnsp_size,&localnearnullsp);CHKERRQ(ierr); 1562 for (k=0;k<nnsp_size;k++) { 1563 ierr = VecDuplicate(pcis->vec1_N,&localnearnullsp[k]);CHKERRQ(ierr); 1564 ierr = VecScatterBegin(matis->ctx,nearnullvecs[k],localnearnullsp[k],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1565 ierr = VecScatterEnd(matis->ctx,nearnullvecs[k],localnearnullsp[k],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 1566 } 1567 1568 /* whether or not to skip lapack calls */ 1569 skip_lapack = PETSC_TRUE; 1570 if (n_ISForFaces+n_ISForEdges) skip_lapack = PETSC_FALSE; 1571 1572 /* First we issue queries to allocate optimal workspace for LAPACKgesvd (or LAPACKsyev if SVD is missing) */ 1573 if (!pcbddc->use_nnsp_true && !skip_lapack) { 1574 PetscScalar temp_work; 1575 #if defined(PETSC_MISSING_LAPACK_GESVD) 1576 /* Proper Orthogonal Decomposition (POD) using the snapshot method */ 1577 ierr = PetscMalloc1(max_constraints*max_constraints,&correlation_mat);CHKERRQ(ierr); 1578 ierr = PetscMalloc1(max_constraints,&singular_vals);CHKERRQ(ierr); 1579 ierr = PetscMalloc1(max_size_of_constraint*max_constraints,&temp_basis);CHKERRQ(ierr); 1580 #if defined(PETSC_USE_COMPLEX) 1581 ierr = PetscMalloc1(3*max_constraints,&rwork);CHKERRQ(ierr); 1582 #endif 1583 /* now we evaluate the optimal workspace using query with lwork=-1 */ 1584 ierr = PetscBLASIntCast(max_constraints,&Blas_N);CHKERRQ(ierr); 1585 ierr = PetscBLASIntCast(max_constraints,&Blas_LDA);CHKERRQ(ierr); 1586 lwork = -1; 1587 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1588 #if !defined(PETSC_USE_COMPLEX) 1589 PetscStackCallBLAS("LAPACKsyev",LAPACKsyev_("V","U",&Blas_N,correlation_mat,&Blas_LDA,singular_vals,&temp_work,&lwork,&lierr)); 1590 #else 1591 PetscStackCallBLAS("LAPACKsyev",LAPACKsyev_("V","U",&Blas_N,correlation_mat,&Blas_LDA,singular_vals,&temp_work,&lwork,rwork,&lierr)); 1592 #endif 1593 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1594 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to SYEV Lapack routine %d",(int)lierr); 1595 #else /* on missing GESVD */ 1596 /* SVD */ 1597 PetscInt max_n,min_n; 1598 max_n = max_size_of_constraint; 1599 min_n = max_constraints; 1600 if (max_size_of_constraint < max_constraints) { 1601 min_n = max_size_of_constraint; 1602 max_n = max_constraints; 1603 } 1604 ierr = PetscMalloc1(min_n,&singular_vals);CHKERRQ(ierr); 1605 #if defined(PETSC_USE_COMPLEX) 1606 ierr = PetscMalloc1(5*min_n,&rwork);CHKERRQ(ierr); 1607 #endif 1608 /* now we evaluate the optimal workspace using query with lwork=-1 */ 1609 lwork = -1; 1610 ierr = PetscBLASIntCast(max_n,&Blas_M);CHKERRQ(ierr); 1611 ierr = PetscBLASIntCast(min_n,&Blas_N);CHKERRQ(ierr); 1612 ierr = PetscBLASIntCast(max_n,&Blas_LDA);CHKERRQ(ierr); 1613 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1614 #if !defined(PETSC_USE_COMPLEX) 1615 PetscStackCallBLAS("LAPACKgesvd",LAPACKgesvd_("O","N",&Blas_M,&Blas_N,&temp_quadrature_constraint[0],&Blas_LDA,singular_vals,&dummy_scalar_1,&dummy_int_1,&dummy_scalar_2,&dummy_int_2,&temp_work,&lwork,&lierr)); 1616 #else 1617 PetscStackCallBLAS("LAPACKgesvd",LAPACKgesvd_("O","N",&Blas_M,&Blas_N,&temp_quadrature_constraint[0],&Blas_LDA,singular_vals,&dummy_scalar_1,&dummy_int_1,&dummy_scalar_2,&dummy_int_2,&temp_work,&lwork,rwork,&lierr)); 1618 #endif 1619 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1620 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GESVD Lapack routine %d",(int)lierr); 1621 #endif /* on missing GESVD */ 1622 /* Allocate optimal workspace */ 1623 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(temp_work),&lwork);CHKERRQ(ierr); 1624 ierr = PetscMalloc1((PetscInt)lwork,&work);CHKERRQ(ierr); 1625 } 1626 /* Now we can loop on constraining sets */ 1627 total_counts = 0; 1628 temp_indices[0] = 0; 1629 /* vertices */ 1630 if (ISForVertices) { 1631 ierr = ISGetIndices(ISForVertices,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1632 if (nnsp_has_cnst) { /* consider all vertices */ 1633 ierr = PetscMemcpy(&temp_indices_to_constraint[temp_indices[total_counts]],is_indices,n_vertices*sizeof(PetscInt));CHKERRQ(ierr); 1634 for (i=0;i<n_vertices;i++) { 1635 temp_quadrature_constraint[temp_indices[total_counts]]=1.0; 1636 temp_indices[total_counts+1]=temp_indices[total_counts]+1; 1637 total_counts++; 1638 } 1639 } else { /* consider vertices for which exist at least a localnearnullsp which is not null there */ 1640 PetscBool used_vertex; 1641 for (i=0;i<n_vertices;i++) { 1642 used_vertex = PETSC_FALSE; 1643 k = 0; 1644 while (!used_vertex && k<nnsp_size) { 1645 ierr = VecGetArrayRead(localnearnullsp[k],(const PetscScalar**)&array);CHKERRQ(ierr); 1646 if (PetscAbsScalar(array[is_indices[i]])>0.0) { 1647 temp_indices_to_constraint[temp_indices[total_counts]]=is_indices[i]; 1648 temp_quadrature_constraint[temp_indices[total_counts]]=1.0; 1649 temp_indices[total_counts+1]=temp_indices[total_counts]+1; 1650 total_counts++; 1651 used_vertex = PETSC_TRUE; 1652 } 1653 ierr = VecRestoreArrayRead(localnearnullsp[k],(const PetscScalar**)&array);CHKERRQ(ierr); 1654 k++; 1655 } 1656 } 1657 } 1658 ierr = ISRestoreIndices(ISForVertices,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1659 n_vertices = total_counts; 1660 } 1661 1662 /* edges and faces */ 1663 for (i=0;i<n_ISForEdges+n_ISForFaces;i++) { 1664 if (i<n_ISForEdges) { 1665 used_IS = &ISForEdges[i]; 1666 boolforchange = pcbddc->use_change_of_basis; /* change or not the basis on the edge */ 1667 } else { 1668 used_IS = &ISForFaces[i-n_ISForEdges]; 1669 boolforchange = (PetscBool)(pcbddc->use_change_of_basis && pcbddc->use_change_on_faces); /* change or not the basis on the face */ 1670 } 1671 temp_constraints = 0; /* zero the number of constraints I have on this conn comp */ 1672 temp_start_ptr = total_counts; /* need to know the starting index of constraints stored */ 1673 ierr = ISGetSize(*used_IS,&size_of_constraint);CHKERRQ(ierr); 1674 ierr = ISGetIndices(*used_IS,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1675 /* change of basis should not be performed on local periodic nodes */ 1676 if (pcbddc->mat_graph->mirrors && pcbddc->mat_graph->mirrors[is_indices[0]]) boolforchange = PETSC_FALSE; 1677 if (nnsp_has_cnst) { 1678 PetscScalar quad_value; 1679 temp_constraints++; 1680 quad_value = (PetscScalar)(1.0/PetscSqrtReal((PetscReal)size_of_constraint)); 1681 ierr = PetscMemcpy(&temp_indices_to_constraint[temp_indices[total_counts]],is_indices,size_of_constraint*sizeof(PetscInt));CHKERRQ(ierr); 1682 for (j=0;j<size_of_constraint;j++) { 1683 temp_quadrature_constraint[temp_indices[total_counts]+j]=quad_value; 1684 } 1685 temp_indices[total_counts+1]=temp_indices[total_counts]+size_of_constraint; /* store new starting point */ 1686 total_counts++; 1687 } 1688 for (k=0;k<nnsp_size;k++) { 1689 PetscReal real_value; 1690 ierr = VecGetArrayRead(localnearnullsp[k],(const PetscScalar**)&array);CHKERRQ(ierr); 1691 ierr = PetscMemcpy(&temp_indices_to_constraint[temp_indices[total_counts]],is_indices,size_of_constraint*sizeof(PetscInt));CHKERRQ(ierr); 1692 for (j=0;j<size_of_constraint;j++) { 1693 temp_quadrature_constraint[temp_indices[total_counts]+j]=array[is_indices[j]]; 1694 } 1695 ierr = VecRestoreArrayRead(localnearnullsp[k],(const PetscScalar**)&array);CHKERRQ(ierr); 1696 /* check if array is null on the connected component */ 1697 ierr = PetscBLASIntCast(size_of_constraint,&Blas_N);CHKERRQ(ierr); 1698 PetscStackCallBLAS("BLASasum",real_value = BLASasum_(&Blas_N,&temp_quadrature_constraint[temp_indices[total_counts]],&Blas_one)); 1699 if (real_value > 0.0) { /* keep indices and values */ 1700 temp_constraints++; 1701 temp_indices[total_counts+1]=temp_indices[total_counts]+size_of_constraint; /* store new starting point */ 1702 total_counts++; 1703 } 1704 } 1705 ierr = ISRestoreIndices(*used_IS,(const PetscInt**)&is_indices);CHKERRQ(ierr); 1706 valid_constraints = temp_constraints; 1707 /* perform SVD on the constraints if use_nnsp_true has not be requested by the user and there are non-null constraints on the cc */ 1708 if (!pcbddc->use_nnsp_true && temp_constraints) { 1709 PetscReal tol = 1.0e-8; /* tolerance for retaining eigenmodes */ 1710 1711 #if defined(PETSC_MISSING_LAPACK_GESVD) 1712 /* SVD: Y = U*S*V^H -> U (eigenvectors of Y*Y^H) = Y*V*(S)^\dag 1713 POD: Y^H*Y = V*D*V^H, D = S^H*S -> U = Y*V*D^(-1/2) 1714 -> When PETSC_USE_COMPLEX and PETSC_MISSING_LAPACK_GESVD are defined 1715 the constraints basis will differ (by a complex factor with absolute value equal to 1) 1716 from that computed using LAPACKgesvd 1717 -> This is due to a different computation of eigenvectors in LAPACKheev 1718 -> The quality of the POD-computed basis will be the same */ 1719 ierr = PetscMemzero(correlation_mat,temp_constraints*temp_constraints*sizeof(PetscScalar));CHKERRQ(ierr); 1720 /* Store upper triangular part of correlation matrix */ 1721 ierr = PetscBLASIntCast(size_of_constraint,&Blas_N);CHKERRQ(ierr); 1722 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1723 for (j=0;j<temp_constraints;j++) { 1724 for (k=0;k<j+1;k++) { 1725 PetscStackCallBLAS("BLASdot",correlation_mat[j*temp_constraints+k]=BLASdot_(&Blas_N,&temp_quadrature_constraint[temp_indices[temp_start_ptr+k]],&Blas_one,&temp_quadrature_constraint[temp_indices[temp_start_ptr+j]],&Blas_one_2)); 1726 } 1727 } 1728 /* compute eigenvalues and eigenvectors of correlation matrix */ 1729 ierr = PetscBLASIntCast(temp_constraints,&Blas_N);CHKERRQ(ierr); 1730 ierr = PetscBLASIntCast(temp_constraints,&Blas_LDA);CHKERRQ(ierr); 1731 #if !defined(PETSC_USE_COMPLEX) 1732 PetscStackCallBLAS("LAPACKsyev",LAPACKsyev_("V","U",&Blas_N,correlation_mat,&Blas_LDA,singular_vals,work,&lwork,&lierr)); 1733 #else 1734 PetscStackCallBLAS("LAPACKsyev",LAPACKsyev_("V","U",&Blas_N,correlation_mat,&Blas_LDA,singular_vals,work,&lwork,rwork,&lierr)); 1735 #endif 1736 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1737 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in SYEV Lapack routine %d",(int)lierr); 1738 /* retain eigenvalues greater than tol: note that LAPACKsyev gives eigs in ascending order */ 1739 j=0; 1740 while (j < temp_constraints && singular_vals[j] < tol) j++; 1741 total_counts=total_counts-j; 1742 valid_constraints = temp_constraints-j; 1743 /* scale and copy POD basis into used quadrature memory */ 1744 ierr = PetscBLASIntCast(size_of_constraint,&Blas_M);CHKERRQ(ierr); 1745 ierr = PetscBLASIntCast(temp_constraints,&Blas_N);CHKERRQ(ierr); 1746 ierr = PetscBLASIntCast(temp_constraints,&Blas_K);CHKERRQ(ierr); 1747 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 1748 ierr = PetscBLASIntCast(temp_constraints,&Blas_LDB);CHKERRQ(ierr); 1749 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDC);CHKERRQ(ierr); 1750 if (j<temp_constraints) { 1751 PetscInt ii; 1752 for (k=j;k<temp_constraints;k++) singular_vals[k]=1.0/PetscSqrtReal(singular_vals[k]); 1753 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1754 PetscStackCallBLAS("BLASgemm",BLASgemm_("N","N",&Blas_M,&Blas_N,&Blas_K,&one,&temp_quadrature_constraint[temp_indices[temp_start_ptr]],&Blas_LDA,correlation_mat,&Blas_LDB,&zero,temp_basis,&Blas_LDC)); 1755 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1756 for (k=0;k<temp_constraints-j;k++) { 1757 for (ii=0;ii<size_of_constraint;ii++) { 1758 temp_quadrature_constraint[temp_indices[temp_start_ptr+k]+ii]=singular_vals[temp_constraints-1-k]*temp_basis[(temp_constraints-1-k)*size_of_constraint+ii]; 1759 } 1760 } 1761 } 1762 #else /* on missing GESVD */ 1763 ierr = PetscBLASIntCast(size_of_constraint,&Blas_M);CHKERRQ(ierr); 1764 ierr = PetscBLASIntCast(temp_constraints,&Blas_N);CHKERRQ(ierr); 1765 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 1766 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 1767 #if !defined(PETSC_USE_COMPLEX) 1768 PetscStackCallBLAS("LAPACKgesvd",LAPACKgesvd_("O","N",&Blas_M,&Blas_N,&temp_quadrature_constraint[temp_indices[temp_start_ptr]],&Blas_LDA,singular_vals,&dummy_scalar_1,&dummy_int_1,&dummy_scalar_2,&dummy_int_2,work,&lwork,&lierr)); 1769 #else 1770 PetscStackCallBLAS("LAPACKgesvd",LAPACKgesvd_("O","N",&Blas_M,&Blas_N,&temp_quadrature_constraint[temp_indices[temp_start_ptr]],&Blas_LDA,singular_vals,&dummy_scalar_1,&dummy_int_1,&dummy_scalar_2,&dummy_int_2,work,&lwork,rwork,&lierr)); 1771 #endif 1772 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GESVD Lapack routine %d",(int)lierr); 1773 ierr = PetscFPTrapPop();CHKERRQ(ierr); 1774 /* retain eigenvalues greater than tol: note that LAPACKgesvd gives eigs in descending order */ 1775 k = temp_constraints; 1776 if (k > size_of_constraint) k = size_of_constraint; 1777 j = 0; 1778 while (j < k && singular_vals[k-j-1] < tol) j++; 1779 total_counts = total_counts-temp_constraints+k-j; 1780 valid_constraints = k-j; 1781 #endif /* on missing GESVD */ 1782 } 1783 /* setting change_of_basis flag is safe now */ 1784 if (boolforchange) { 1785 for (j=0;j<valid_constraints;j++) { 1786 PetscBTSet(change_basis,total_counts-j-1); 1787 } 1788 } 1789 } 1790 /* free index sets of faces, edges and vertices */ 1791 for (i=0;i<n_ISForFaces;i++) { 1792 ierr = ISDestroy(&ISForFaces[i]);CHKERRQ(ierr); 1793 } 1794 if (n_ISForFaces) { 1795 ierr = PetscFree(ISForFaces);CHKERRQ(ierr); 1796 } 1797 for (i=0;i<n_ISForEdges;i++) { 1798 ierr = ISDestroy(&ISForEdges[i]);CHKERRQ(ierr); 1799 } 1800 if (n_ISForEdges) { 1801 ierr = PetscFree(ISForEdges);CHKERRQ(ierr); 1802 } 1803 ierr = ISDestroy(&ISForVertices);CHKERRQ(ierr); 1804 /* map temp_indices_to_constraint in boundary numbering */ 1805 ierr = ISGlobalToLocalMappingApply(pcbddc->BtoNmap,IS_GTOLM_DROP,temp_indices[total_counts],temp_indices_to_constraint,&i,temp_indices_to_constraint_B);CHKERRQ(ierr); 1806 if (i != temp_indices[total_counts]) { 1807 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Error in boundary numbering for constraints indices %d != %d\n",temp_indices[total_counts],i); 1808 } 1809 1810 /* free workspace */ 1811 if (!pcbddc->use_nnsp_true && !skip_lapack) { 1812 ierr = PetscFree(work);CHKERRQ(ierr); 1813 #if defined(PETSC_USE_COMPLEX) 1814 ierr = PetscFree(rwork);CHKERRQ(ierr); 1815 #endif 1816 ierr = PetscFree(singular_vals);CHKERRQ(ierr); 1817 #if defined(PETSC_MISSING_LAPACK_GESVD) 1818 ierr = PetscFree(correlation_mat);CHKERRQ(ierr); 1819 ierr = PetscFree(temp_basis);CHKERRQ(ierr); 1820 #endif 1821 } 1822 for (k=0;k<nnsp_size;k++) { 1823 ierr = VecDestroy(&localnearnullsp[k]);CHKERRQ(ierr); 1824 } 1825 ierr = PetscFree(localnearnullsp);CHKERRQ(ierr); 1826 1827 /* set quantities in pcbddc data structure and store previous primal size */ 1828 /* n_vertices defines the number of subdomain corners in the primal space */ 1829 /* n_constraints defines the number of averages (they can be point primal dofs if change of basis is requested) */ 1830 olocal_primal_size = pcbddc->local_primal_size; 1831 pcbddc->local_primal_size = total_counts; 1832 pcbddc->n_vertices = n_vertices; 1833 pcbddc->n_constraints = pcbddc->local_primal_size-pcbddc->n_vertices; 1834 1835 /* Create constraint matrix */ 1836 /* The constraint matrix is used to compute the l2g map of primal dofs */ 1837 /* so we need to set it up properly either with or without change of basis */ 1838 ierr = MatCreate(PETSC_COMM_SELF,&pcbddc->ConstraintMatrix);CHKERRQ(ierr); 1839 ierr = MatSetType(pcbddc->ConstraintMatrix,impMatType);CHKERRQ(ierr); 1840 ierr = MatSetSizes(pcbddc->ConstraintMatrix,pcbddc->local_primal_size,pcis->n,pcbddc->local_primal_size,pcis->n);CHKERRQ(ierr); 1841 /* array to compute a local numbering of constraints : vertices first then constraints */ 1842 ierr = PetscMalloc1(pcbddc->local_primal_size,&aux_primal_numbering);CHKERRQ(ierr); 1843 /* array to select the proper local node (of minimum index with respect to global ordering) when changing the basis */ 1844 /* note: it should not be needed since IS for faces and edges are already sorted by global ordering when analyzing the graph but... just in case */ 1845 ierr = PetscMalloc1(pcbddc->local_primal_size,&aux_primal_minloc);CHKERRQ(ierr); 1846 /* auxiliary stuff for basis change */ 1847 ierr = PetscMalloc1(max_size_of_constraint,&global_indices);CHKERRQ(ierr); 1848 ierr = PetscBTCreate(pcis->n_B,&touched);CHKERRQ(ierr); 1849 1850 /* find primal_dofs: subdomain corners plus dofs selected as primal after change of basis */ 1851 total_primal_vertices=0; 1852 for (i=0;i<pcbddc->local_primal_size;i++) { 1853 size_of_constraint=temp_indices[i+1]-temp_indices[i]; 1854 if (size_of_constraint == 1) { 1855 ierr = PetscBTSet(touched,temp_indices_to_constraint_B[temp_indices[i]]);CHKERRQ(ierr); 1856 aux_primal_numbering[total_primal_vertices]=temp_indices_to_constraint[temp_indices[i]]; 1857 aux_primal_minloc[total_primal_vertices]=0; 1858 total_primal_vertices++; 1859 } else if (PetscBTLookup(change_basis,i)) { /* Same procedure used in PCBDDCGetPrimalConstraintsLocalIdx */ 1860 PetscInt min_loc,min_index; 1861 ierr = ISLocalToGlobalMappingApply(pcbddc->mat_graph->l2gmap,size_of_constraint,&temp_indices_to_constraint[temp_indices[i]],global_indices);CHKERRQ(ierr); 1862 /* find first untouched local node */ 1863 k = 0; 1864 while (PetscBTLookup(touched,temp_indices_to_constraint_B[temp_indices[i]+k])) k++; 1865 min_index = global_indices[k]; 1866 min_loc = k; 1867 /* search the minimum among global nodes already untouched on the cc */ 1868 for (k=1;k<size_of_constraint;k++) { 1869 /* there can be more than one constraint on a single connected component */ 1870 if (!PetscBTLookup(touched,temp_indices_to_constraint_B[temp_indices[i]+k]) && min_index > global_indices[k]) { 1871 min_index = global_indices[k]; 1872 min_loc = k; 1873 } 1874 } 1875 ierr = PetscBTSet(touched,temp_indices_to_constraint_B[temp_indices[i]+min_loc]);CHKERRQ(ierr); 1876 aux_primal_numbering[total_primal_vertices]=temp_indices_to_constraint[temp_indices[i]+min_loc]; 1877 aux_primal_minloc[total_primal_vertices]=min_loc; 1878 total_primal_vertices++; 1879 } 1880 } 1881 /* determine if a QR strategy is needed for change of basis */ 1882 qr_needed = PETSC_FALSE; 1883 ierr = PetscBTCreate(pcbddc->local_primal_size,&qr_needed_idx);CHKERRQ(ierr); 1884 for (i=pcbddc->n_vertices;i<pcbddc->local_primal_size;i++) { 1885 if (PetscBTLookup(change_basis,i)) { 1886 size_of_constraint = temp_indices[i+1]-temp_indices[i]; 1887 j = 0; 1888 for (k=0;k<size_of_constraint;k++) { 1889 if (PetscBTLookup(touched,temp_indices_to_constraint_B[temp_indices[i]+k])) { 1890 j++; 1891 } 1892 } 1893 /* found more than one primal dof on the cc */ 1894 if (j > 1) { 1895 PetscBTSet(qr_needed_idx,i); 1896 qr_needed = PETSC_TRUE; 1897 } 1898 } 1899 } 1900 /* free workspace */ 1901 ierr = PetscFree(global_indices);CHKERRQ(ierr); 1902 1903 /* permute indices in order to have a sorted set of vertices */ 1904 ierr = PetscSortInt(total_primal_vertices,aux_primal_numbering);CHKERRQ(ierr); 1905 1906 /* nonzero structure of constraint matrix */ 1907 ierr = PetscMalloc1(pcbddc->local_primal_size,&nnz);CHKERRQ(ierr); 1908 for (i=0;i<total_primal_vertices;i++) nnz[i]=1; 1909 j=total_primal_vertices; 1910 for (i=pcbddc->n_vertices;i<pcbddc->local_primal_size;i++) { 1911 if (!PetscBTLookup(change_basis,i)) { 1912 nnz[j]=temp_indices[i+1]-temp_indices[i]; 1913 j++; 1914 } 1915 } 1916 ierr = MatSeqAIJSetPreallocation(pcbddc->ConstraintMatrix,0,nnz);CHKERRQ(ierr); 1917 ierr = PetscFree(nnz);CHKERRQ(ierr); 1918 /* set values in constraint matrix */ 1919 for (i=0;i<total_primal_vertices;i++) { 1920 ierr = MatSetValue(pcbddc->ConstraintMatrix,i,aux_primal_numbering[i],1.0,INSERT_VALUES);CHKERRQ(ierr); 1921 } 1922 total_counts = total_primal_vertices; 1923 for (i=pcbddc->n_vertices;i<pcbddc->local_primal_size;i++) { 1924 if (!PetscBTLookup(change_basis,i)) { 1925 size_of_constraint=temp_indices[i+1]-temp_indices[i]; 1926 ierr = MatSetValues(pcbddc->ConstraintMatrix,1,&total_counts,size_of_constraint,&temp_indices_to_constraint[temp_indices[i]],&temp_quadrature_constraint[temp_indices[i]],INSERT_VALUES);CHKERRQ(ierr); 1927 total_counts++; 1928 } 1929 } 1930 /* assembling */ 1931 ierr = MatAssemblyBegin(pcbddc->ConstraintMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1932 ierr = MatAssemblyEnd(pcbddc->ConstraintMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 1933 /* 1934 ierr = PetscViewerSetFormat(PETSC_VIEWER_STDOUT_SELF,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 1935 ierr = MatView(pcbddc->ConstraintMatrix,(PetscViewer)0);CHKERRQ(ierr); 1936 */ 1937 /* Create matrix for change of basis. We don't need it in case pcbddc->use_change_of_basis is FALSE */ 1938 if (pcbddc->use_change_of_basis) { 1939 /* dual and primal dofs on a single cc */ 1940 PetscInt dual_dofs,primal_dofs; 1941 /* iterator on aux_primal_minloc (ordered as read from nearnullspace: vertices, edges and then constraints) */ 1942 PetscInt primal_counter; 1943 /* working stuff for GEQRF */ 1944 PetscScalar *qr_basis,*qr_tau = NULL,*qr_work,lqr_work_t; 1945 PetscBLASInt lqr_work; 1946 /* working stuff for UNGQR */ 1947 PetscScalar *gqr_work,lgqr_work_t; 1948 PetscBLASInt lgqr_work; 1949 /* working stuff for TRTRS */ 1950 PetscScalar *trs_rhs; 1951 PetscBLASInt Blas_NRHS; 1952 /* pointers for values insertion into change of basis matrix */ 1953 PetscInt *start_rows,*start_cols; 1954 PetscScalar *start_vals; 1955 /* working stuff for values insertion */ 1956 PetscBT is_primal; 1957 /* matrix sizes */ 1958 PetscInt global_size,local_size; 1959 /* work array for nonzeros */ 1960 PetscScalar *nnz_array; 1961 /* temporary change of basis */ 1962 Mat localChangeOfBasisMatrix; 1963 /* auxiliary work for global change of basis */ 1964 Vec nnz_vec; 1965 PetscInt *idxs_I,*idxs_B,*idxs_all; 1966 PetscInt nvtxs,*xadj,*adjncy,*idxs_mapped; 1967 PetscScalar *vals; 1968 PetscBool done; 1969 1970 /* local temporary change of basis acts on local interfaces -> dimension is n_B x n_B */ 1971 ierr = MatCreate(PETSC_COMM_SELF,&localChangeOfBasisMatrix);CHKERRQ(ierr); 1972 ierr = MatSetType(localChangeOfBasisMatrix,impMatType);CHKERRQ(ierr); 1973 ierr = MatSetSizes(localChangeOfBasisMatrix,pcis->n_B,pcis->n_B,pcis->n_B,pcis->n_B);CHKERRQ(ierr); 1974 1975 /* nonzeros for local mat */ 1976 ierr = PetscMalloc1(pcis->n_B,&nnz);CHKERRQ(ierr); 1977 for (i=0;i<pcis->n_B;i++) nnz[i]=1; 1978 for (i=pcbddc->n_vertices;i<pcbddc->local_primal_size;i++) { 1979 if (PetscBTLookup(change_basis,i)) { 1980 size_of_constraint = temp_indices[i+1]-temp_indices[i]; 1981 if (PetscBTLookup(qr_needed_idx,i)) { 1982 for (j=0;j<size_of_constraint;j++) nnz[temp_indices_to_constraint_B[temp_indices[i]+j]] = size_of_constraint; 1983 } else { 1984 for (j=0;j<size_of_constraint;j++) nnz[temp_indices_to_constraint_B[temp_indices[i]+j]] = 2; 1985 /* get local primal index on the cc */ 1986 j = 0; 1987 while (!PetscBTLookup(touched,temp_indices_to_constraint_B[temp_indices[i]+j])) j++; 1988 nnz[temp_indices_to_constraint_B[temp_indices[i]+j]] = size_of_constraint; 1989 } 1990 } 1991 } 1992 ierr = MatSeqAIJSetPreallocation(localChangeOfBasisMatrix,0,nnz);CHKERRQ(ierr); 1993 /* Set initial identity in the matrix */ 1994 for (i=0;i<pcis->n_B;i++) { 1995 ierr = MatSetValue(localChangeOfBasisMatrix,i,i,1.0,INSERT_VALUES);CHKERRQ(ierr); 1996 } 1997 1998 if (pcbddc->dbg_flag) { 1999 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"--------------------------------------------------------------\n");CHKERRQ(ierr); 2000 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Checking change of basis computation for subdomain %04d\n",PetscGlobalRank);CHKERRQ(ierr); 2001 } 2002 2003 2004 /* Now we loop on the constraints which need a change of basis */ 2005 /* 2006 Change of basis matrix is evaluated similarly to the FIRST APPROACH in 2007 Klawonn and Widlund, Dual-primal FETI-DP methods for linear elasticity, (see Sect 6.2.1) 2008 2009 Basic blocks of change of basis matrix T computed 2010 2011 - Using the following block transformation if there is only a primal dof on the cc 2012 (in the example, primal dof is the last one of the edge in LOCAL ordering 2013 in this code, primal dof is the first one of the edge in GLOBAL ordering) 2014 | 1 0 ... 0 1 | 2015 | 0 1 ... 0 1 | 2016 | ... | 2017 | 0 ... 1 1 | 2018 | -s_1/s_n ... -s_{n-1}/-s_n 1 | 2019 2020 - via QR decomposition of constraints otherwise 2021 */ 2022 if (qr_needed) { 2023 /* space to store Q */ 2024 ierr = PetscMalloc1((max_size_of_constraint)*(max_size_of_constraint),&qr_basis);CHKERRQ(ierr); 2025 /* first we issue queries for optimal work */ 2026 ierr = PetscBLASIntCast(max_size_of_constraint,&Blas_M);CHKERRQ(ierr); 2027 ierr = PetscBLASIntCast(max_constraints,&Blas_N);CHKERRQ(ierr); 2028 ierr = PetscBLASIntCast(max_size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2029 lqr_work = -1; 2030 PetscStackCallBLAS("LAPACKgeqrf",LAPACKgeqrf_(&Blas_M,&Blas_N,qr_basis,&Blas_LDA,qr_tau,&lqr_work_t,&lqr_work,&lierr)); 2031 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to GEQRF Lapack routine %d",(int)lierr); 2032 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lqr_work_t),&lqr_work);CHKERRQ(ierr); 2033 ierr = PetscMalloc1((PetscInt)PetscRealPart(lqr_work_t),&qr_work);CHKERRQ(ierr); 2034 lgqr_work = -1; 2035 ierr = PetscBLASIntCast(max_size_of_constraint,&Blas_M);CHKERRQ(ierr); 2036 ierr = PetscBLASIntCast(max_size_of_constraint,&Blas_N);CHKERRQ(ierr); 2037 ierr = PetscBLASIntCast(max_constraints,&Blas_K);CHKERRQ(ierr); 2038 ierr = PetscBLASIntCast(max_size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2039 if (Blas_K>Blas_M) Blas_K=Blas_M; /* adjust just for computing optimal work */ 2040 PetscStackCallBLAS("LAPACKungqr",LAPACKungqr_(&Blas_M,&Blas_N,&Blas_K,qr_basis,&Blas_LDA,qr_tau,&lgqr_work_t,&lgqr_work,&lierr)); 2041 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in query to UNGQR Lapack routine %d",(int)lierr); 2042 ierr = PetscBLASIntCast((PetscInt)PetscRealPart(lgqr_work_t),&lgqr_work);CHKERRQ(ierr); 2043 ierr = PetscMalloc1((PetscInt)PetscRealPart(lgqr_work_t),&gqr_work);CHKERRQ(ierr); 2044 /* array to store scaling factors for reflectors */ 2045 ierr = PetscMalloc1(max_constraints,&qr_tau);CHKERRQ(ierr); 2046 /* array to store rhs and solution of triangular solver */ 2047 ierr = PetscMalloc1(max_constraints*max_constraints,&trs_rhs);CHKERRQ(ierr); 2048 /* allocating workspace for check */ 2049 if (pcbddc->dbg_flag) { 2050 ierr = PetscMalloc1(max_size_of_constraint*(max_constraints+max_size_of_constraint),&work);CHKERRQ(ierr); 2051 } 2052 } 2053 /* array to store whether a node is primal or not */ 2054 ierr = PetscBTCreate(pcis->n_B,&is_primal);CHKERRQ(ierr); 2055 ierr = PetscMalloc1(total_primal_vertices,&aux_primal_numbering_B);CHKERRQ(ierr); 2056 ierr = ISGlobalToLocalMappingApply(pcbddc->BtoNmap,IS_GTOLM_DROP,total_primal_vertices,aux_primal_numbering,&i,aux_primal_numbering_B);CHKERRQ(ierr); 2057 if (i != total_primal_vertices) { 2058 SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_SUP,"Error in boundary numbering for BDDC vertices! %d != %d\n",total_primal_vertices,i); 2059 } 2060 for (i=0;i<total_primal_vertices;i++) { 2061 ierr = PetscBTSet(is_primal,aux_primal_numbering_B[i]);CHKERRQ(ierr); 2062 } 2063 ierr = PetscFree(aux_primal_numbering_B);CHKERRQ(ierr); 2064 2065 /* loop on constraints and see whether or not they need a change of basis and compute it */ 2066 /* -> using implicit ordering contained in temp_indices data */ 2067 total_counts = pcbddc->n_vertices; 2068 primal_counter = total_counts; 2069 while (total_counts<pcbddc->local_primal_size) { 2070 primal_dofs = 1; 2071 if (PetscBTLookup(change_basis,total_counts)) { 2072 /* get all constraints with same support: if more then one constraint is present on the cc then surely indices are stored contiguosly */ 2073 while (total_counts+primal_dofs < pcbddc->local_primal_size && temp_indices_to_constraint_B[temp_indices[total_counts]] == temp_indices_to_constraint_B[temp_indices[total_counts+primal_dofs]]) { 2074 primal_dofs++; 2075 } 2076 /* get constraint info */ 2077 size_of_constraint = temp_indices[total_counts+1]-temp_indices[total_counts]; 2078 dual_dofs = size_of_constraint-primal_dofs; 2079 2080 if (pcbddc->dbg_flag) { 2081 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Constraints %d to %d (incl) need a change of basis (size %d)\n",total_counts,total_counts+primal_dofs-1,size_of_constraint);CHKERRQ(ierr); 2082 } 2083 2084 if (primal_dofs > 1) { /* QR */ 2085 2086 /* copy quadrature constraints for change of basis check */ 2087 if (pcbddc->dbg_flag) { 2088 ierr = PetscMemcpy(work,&temp_quadrature_constraint[temp_indices[total_counts]],size_of_constraint*primal_dofs*sizeof(PetscScalar));CHKERRQ(ierr); 2089 } 2090 /* copy temporary constraints into larger work vector (in order to store all columns of Q) */ 2091 ierr = PetscMemcpy(qr_basis,&temp_quadrature_constraint[temp_indices[total_counts]],size_of_constraint*primal_dofs*sizeof(PetscScalar));CHKERRQ(ierr); 2092 2093 /* compute QR decomposition of constraints */ 2094 ierr = PetscBLASIntCast(size_of_constraint,&Blas_M);CHKERRQ(ierr); 2095 ierr = PetscBLASIntCast(primal_dofs,&Blas_N);CHKERRQ(ierr); 2096 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2097 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 2098 PetscStackCallBLAS("LAPACKgeqrf",LAPACKgeqrf_(&Blas_M,&Blas_N,qr_basis,&Blas_LDA,qr_tau,qr_work,&lqr_work,&lierr)); 2099 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in GEQRF Lapack routine %d",(int)lierr); 2100 ierr = PetscFPTrapPop();CHKERRQ(ierr); 2101 2102 /* explictly compute R^-T */ 2103 ierr = PetscMemzero(trs_rhs,primal_dofs*primal_dofs*sizeof(*trs_rhs));CHKERRQ(ierr); 2104 for (j=0;j<primal_dofs;j++) trs_rhs[j*(primal_dofs+1)] = 1.0; 2105 ierr = PetscBLASIntCast(primal_dofs,&Blas_N);CHKERRQ(ierr); 2106 ierr = PetscBLASIntCast(primal_dofs,&Blas_NRHS);CHKERRQ(ierr); 2107 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2108 ierr = PetscBLASIntCast(primal_dofs,&Blas_LDB);CHKERRQ(ierr); 2109 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 2110 PetscStackCallBLAS("LAPACKtrtrs",LAPACKtrtrs_("U","T","N",&Blas_N,&Blas_NRHS,qr_basis,&Blas_LDA,trs_rhs,&Blas_LDB,&lierr)); 2111 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in TRTRS Lapack routine %d",(int)lierr); 2112 ierr = PetscFPTrapPop();CHKERRQ(ierr); 2113 2114 /* explicitly compute all columns of Q (Q = [Q1 | Q2] ) overwriting QR factorization in qr_basis */ 2115 ierr = PetscBLASIntCast(size_of_constraint,&Blas_M);CHKERRQ(ierr); 2116 ierr = PetscBLASIntCast(size_of_constraint,&Blas_N);CHKERRQ(ierr); 2117 ierr = PetscBLASIntCast(primal_dofs,&Blas_K);CHKERRQ(ierr); 2118 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2119 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 2120 PetscStackCallBLAS("LAPACKungqr",LAPACKungqr_(&Blas_M,&Blas_N,&Blas_K,qr_basis,&Blas_LDA,qr_tau,gqr_work,&lgqr_work,&lierr)); 2121 if (lierr) SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_LIB,"Error in UNGQR Lapack routine %d",(int)lierr); 2122 ierr = PetscFPTrapPop();CHKERRQ(ierr); 2123 2124 /* first primal_dofs columns of Q need to be re-scaled in order to be unitary w.r.t constraints 2125 i.e. C_{pxn}*Q_{nxn} should be equal to [I_pxp | 0_pxd] (see check below) 2126 where n=size_of_constraint, p=primal_dofs, d=dual_dofs (n=p+d), I and 0 identity and null matrix resp. */ 2127 ierr = PetscBLASIntCast(size_of_constraint,&Blas_M);CHKERRQ(ierr); 2128 ierr = PetscBLASIntCast(primal_dofs,&Blas_N);CHKERRQ(ierr); 2129 ierr = PetscBLASIntCast(primal_dofs,&Blas_K);CHKERRQ(ierr); 2130 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2131 ierr = PetscBLASIntCast(primal_dofs,&Blas_LDB);CHKERRQ(ierr); 2132 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDC);CHKERRQ(ierr); 2133 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 2134 PetscStackCallBLAS("BLASgemm",BLASgemm_("N","N",&Blas_M,&Blas_N,&Blas_K,&one,qr_basis,&Blas_LDA,trs_rhs,&Blas_LDB,&zero,&temp_quadrature_constraint[temp_indices[total_counts]],&Blas_LDC)); 2135 ierr = PetscFPTrapPop();CHKERRQ(ierr); 2136 ierr = PetscMemcpy(qr_basis,&temp_quadrature_constraint[temp_indices[total_counts]],size_of_constraint*primal_dofs*sizeof(PetscScalar));CHKERRQ(ierr); 2137 2138 /* insert values in change of basis matrix respecting global ordering of new primal dofs */ 2139 start_rows = &temp_indices_to_constraint_B[temp_indices[total_counts]]; 2140 /* insert cols for primal dofs */ 2141 for (j=0;j<primal_dofs;j++) { 2142 start_vals = &qr_basis[j*size_of_constraint]; 2143 start_cols = &temp_indices_to_constraint_B[temp_indices[total_counts]+aux_primal_minloc[primal_counter+j]]; 2144 ierr = MatSetValues(localChangeOfBasisMatrix,size_of_constraint,start_rows,1,start_cols,start_vals,INSERT_VALUES);CHKERRQ(ierr); 2145 } 2146 /* insert cols for dual dofs */ 2147 for (j=0,k=0;j<dual_dofs;k++) { 2148 if (!PetscBTLookup(is_primal,temp_indices_to_constraint_B[temp_indices[total_counts]+k])) { 2149 start_vals = &qr_basis[(primal_dofs+j)*size_of_constraint]; 2150 start_cols = &temp_indices_to_constraint_B[temp_indices[total_counts]+k]; 2151 ierr = MatSetValues(localChangeOfBasisMatrix,size_of_constraint,start_rows,1,start_cols,start_vals,INSERT_VALUES);CHKERRQ(ierr); 2152 j++; 2153 } 2154 } 2155 2156 /* check change of basis */ 2157 if (pcbddc->dbg_flag) { 2158 PetscInt ii,jj; 2159 PetscBool valid_qr=PETSC_TRUE; 2160 ierr = PetscBLASIntCast(primal_dofs,&Blas_M);CHKERRQ(ierr); 2161 ierr = PetscBLASIntCast(size_of_constraint,&Blas_N);CHKERRQ(ierr); 2162 ierr = PetscBLASIntCast(size_of_constraint,&Blas_K);CHKERRQ(ierr); 2163 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDA);CHKERRQ(ierr); 2164 ierr = PetscBLASIntCast(size_of_constraint,&Blas_LDB);CHKERRQ(ierr); 2165 ierr = PetscBLASIntCast(primal_dofs,&Blas_LDC);CHKERRQ(ierr); 2166 ierr = PetscFPTrapPush(PETSC_FP_TRAP_OFF);CHKERRQ(ierr); 2167 PetscStackCallBLAS("BLASgemm",BLASgemm_("T","N",&Blas_M,&Blas_N,&Blas_K,&one,work,&Blas_LDA,qr_basis,&Blas_LDB,&zero,&work[size_of_constraint*primal_dofs],&Blas_LDC)); 2168 ierr = PetscFPTrapPop();CHKERRQ(ierr); 2169 for (jj=0;jj<size_of_constraint;jj++) { 2170 for (ii=0;ii<primal_dofs;ii++) { 2171 if (ii != jj && PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii]) > 1.e-12) valid_qr = PETSC_FALSE; 2172 if (ii == jj && PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii]-1.0) > 1.e-12) valid_qr = PETSC_FALSE; 2173 } 2174 } 2175 if (!valid_qr) { 2176 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"\t-> wrong change of basis!\n");CHKERRQ(ierr); 2177 for (jj=0;jj<size_of_constraint;jj++) { 2178 for (ii=0;ii<primal_dofs;ii++) { 2179 if (ii != jj && PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii]) > 1.e-12) { 2180 PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"\tQr basis function %d is not orthogonal to constraint %d (%1.14e)!\n",jj,ii,PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii])); 2181 } 2182 if (ii == jj && PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii]-1.0) > 1.e-12) { 2183 PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"\tQr basis function %d is not unitary w.r.t constraint %d (%1.14e)!\n",jj,ii,PetscAbsScalar(work[size_of_constraint*primal_dofs+jj*primal_dofs+ii])); 2184 } 2185 } 2186 } 2187 } else { 2188 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"\t-> right change of basis!\n");CHKERRQ(ierr); 2189 } 2190 } 2191 } else { /* simple transformation block */ 2192 PetscInt row,col; 2193 PetscScalar val; 2194 for (j=0;j<size_of_constraint;j++) { 2195 row = temp_indices_to_constraint_B[temp_indices[total_counts]+j]; 2196 if (!PetscBTLookup(is_primal,row)) { 2197 col = temp_indices_to_constraint_B[temp_indices[total_counts]+aux_primal_minloc[primal_counter]]; 2198 ierr = MatSetValue(localChangeOfBasisMatrix,row,row,1.0,INSERT_VALUES);CHKERRQ(ierr); 2199 ierr = MatSetValue(localChangeOfBasisMatrix,row,col,1.0,INSERT_VALUES);CHKERRQ(ierr); 2200 } else { 2201 for (k=0;k<size_of_constraint;k++) { 2202 col = temp_indices_to_constraint_B[temp_indices[total_counts]+k]; 2203 if (row != col) { 2204 val = -temp_quadrature_constraint[temp_indices[total_counts]+k]/temp_quadrature_constraint[temp_indices[total_counts]+aux_primal_minloc[primal_counter]]; 2205 } else { 2206 val = 1.0; 2207 } 2208 ierr = MatSetValue(localChangeOfBasisMatrix,row,col,val,INSERT_VALUES);CHKERRQ(ierr); 2209 } 2210 } 2211 } 2212 if (pcbddc->dbg_flag) { 2213 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"\t-> using standard change of basis\n");CHKERRQ(ierr); 2214 } 2215 } 2216 /* increment primal counter */ 2217 primal_counter += primal_dofs; 2218 } else { 2219 if (pcbddc->dbg_flag) { 2220 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Constraint %d does not need a change of basis (size %d)\n",total_counts,temp_indices[total_counts+1]-temp_indices[total_counts]);CHKERRQ(ierr); 2221 } 2222 } 2223 /* increment constraint counter total_counts */ 2224 total_counts += primal_dofs; 2225 } 2226 2227 /* free workspace */ 2228 if (qr_needed) { 2229 if (pcbddc->dbg_flag) { 2230 ierr = PetscFree(work);CHKERRQ(ierr); 2231 } 2232 ierr = PetscFree(trs_rhs);CHKERRQ(ierr); 2233 ierr = PetscFree(qr_tau);CHKERRQ(ierr); 2234 ierr = PetscFree(qr_work);CHKERRQ(ierr); 2235 ierr = PetscFree(gqr_work);CHKERRQ(ierr); 2236 ierr = PetscFree(qr_basis);CHKERRQ(ierr); 2237 } 2238 ierr = PetscBTDestroy(&is_primal);CHKERRQ(ierr); 2239 ierr = MatAssemblyBegin(localChangeOfBasisMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2240 ierr = MatAssemblyEnd(localChangeOfBasisMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2241 2242 /* assembling of global change of variable */ 2243 ierr = MatCreate(PetscObjectComm((PetscObject)pc),&pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr); 2244 ierr = MatSetType(pcbddc->ChangeOfBasisMatrix,MATAIJ);CHKERRQ(ierr); 2245 ierr = VecGetSize(pcis->vec1_global,&global_size);CHKERRQ(ierr); 2246 ierr = VecGetLocalSize(pcis->vec1_global,&local_size);CHKERRQ(ierr); 2247 ierr = MatSetSizes(pcbddc->ChangeOfBasisMatrix,local_size,local_size,global_size,global_size);CHKERRQ(ierr); 2248 ierr = MatSetLocalToGlobalMapping(pcbddc->ChangeOfBasisMatrix,matis->mapping,matis->mapping);CHKERRQ(ierr); 2249 2250 /* nonzeros (overestimated) */ 2251 ierr = VecDuplicate(pcis->vec1_global,&nnz_vec);CHKERRQ(ierr); 2252 ierr = VecSetLocalToGlobalMapping(nnz_vec,matis->mapping);CHKERRQ(ierr); 2253 ierr = PetscMalloc2(pcis->n,&nnz_array,pcis->n,&idxs_all);CHKERRQ(ierr); 2254 for (i=0;i<pcis->n;i++) { 2255 nnz_array[i] = 1.0; 2256 idxs_all[i] = i; 2257 } 2258 ierr = ISGetIndices(pcis->is_B_local,(const PetscInt**)&idxs_B);CHKERRQ(ierr); 2259 for (i=0;i<pcis->n_B;i++) { 2260 nnz_array[idxs_B[i]] = nnz[i]; 2261 } 2262 if (pcis->n) { 2263 ierr = VecSetValuesLocal(nnz_vec,pcis->n,idxs_all,nnz_array,INSERT_VALUES);CHKERRQ(ierr); 2264 } 2265 ierr = VecAssemblyBegin(nnz_vec);CHKERRQ(ierr); 2266 ierr = VecAssemblyEnd(nnz_vec);CHKERRQ(ierr); 2267 ierr = PetscFree(nnz);CHKERRQ(ierr); 2268 ierr = PetscFree2(nnz_array,idxs_all);CHKERRQ(ierr); 2269 ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr); 2270 ierr = VecGetArray(nnz_vec,&nnz_array);CHKERRQ(ierr); 2271 for (i=0;i<local_size;i++) { 2272 nnz[i] = (PetscInt)(PetscRealPart(nnz_array[i])); 2273 } 2274 ierr = VecRestoreArray(nnz_vec,&nnz_array);CHKERRQ(ierr); 2275 ierr = VecDestroy(&nnz_vec);CHKERRQ(ierr); 2276 ierr = MatMPIAIJSetPreallocation(pcbddc->ChangeOfBasisMatrix,0,nnz,0,nnz);CHKERRQ(ierr); 2277 ierr = PetscFree(nnz);CHKERRQ(ierr); 2278 2279 /* Set identity on dirichlet dofs */ 2280 ierr = ISGetIndices(pcis->is_I_local,(const PetscInt**)&idxs_I);CHKERRQ(ierr); 2281 for (i=0;i<pcis->n-pcis->n_B;i++) { 2282 PetscScalar one=1.0; 2283 ierr = MatSetValuesLocal(pcbddc->ChangeOfBasisMatrix,1,idxs_I+i,1,idxs_I+i,&one,INSERT_VALUES);CHKERRQ(ierr); 2284 } 2285 ierr = ISRestoreIndices(pcis->is_I_local,(const PetscInt**)&idxs_I);CHKERRQ(ierr); 2286 2287 /* Set values at interface dofs */ 2288 done = PETSC_TRUE; 2289 ierr = MatGetRowIJ(localChangeOfBasisMatrix,0,PETSC_FALSE,PETSC_FALSE,&nvtxs,(const PetscInt**)&xadj,(const PetscInt**)&adjncy,&done);CHKERRQ(ierr); 2290 if (!done) { 2291 SETERRQ1(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"Error in MatGetRowIJ called in %s\n",__FUNCT__); 2292 } 2293 ierr = MatSeqAIJGetArray(localChangeOfBasisMatrix,&vals);CHKERRQ(ierr); 2294 ierr = PetscMalloc1(xadj[nvtxs],&idxs_mapped);CHKERRQ(ierr); 2295 ierr = ISLocalToGlobalMappingApply(pcbddc->BtoNmap,xadj[nvtxs],adjncy,idxs_mapped);CHKERRQ(ierr); 2296 for (i=0;i<nvtxs;i++) { 2297 PetscInt row,*cols,ncols; 2298 PetscScalar *mat_vals; 2299 2300 row = idxs_B[i]; 2301 ncols = xadj[i+1]-xadj[i]; 2302 cols = idxs_mapped+xadj[i]; 2303 mat_vals = vals+xadj[i]; 2304 ierr = MatSetValuesLocal(pcbddc->ChangeOfBasisMatrix,1,&row,ncols,cols,mat_vals,INSERT_VALUES);CHKERRQ(ierr); 2305 } 2306 ierr = MatRestoreRowIJ(localChangeOfBasisMatrix,0,PETSC_FALSE,PETSC_FALSE,&nvtxs,(const PetscInt**)&xadj,(const PetscInt**)&adjncy,&done);CHKERRQ(ierr); 2307 if (!done) { 2308 SETERRQ1(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"Error in MatRestoreRowIJ called in %s\n",__FUNCT__); 2309 } 2310 ierr = MatSeqAIJRestoreArray(localChangeOfBasisMatrix,&vals);CHKERRQ(ierr); 2311 ierr = ISRestoreIndices(pcis->is_B_local,(const PetscInt**)&idxs_B);CHKERRQ(ierr); 2312 ierr = PetscFree(idxs_mapped);CHKERRQ(ierr); 2313 ierr = MatAssemblyBegin(pcbddc->ChangeOfBasisMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2314 ierr = MatAssemblyEnd(pcbddc->ChangeOfBasisMatrix,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2315 2316 /* check */ 2317 if (pcbddc->dbg_flag) { 2318 PetscReal error; 2319 Vec x,x_change; 2320 2321 ierr = VecDuplicate(pcis->vec1_global,&x);CHKERRQ(ierr); 2322 ierr = VecDuplicate(pcis->vec1_global,&x_change);CHKERRQ(ierr); 2323 ierr = VecSetRandom(x,NULL);CHKERRQ(ierr); 2324 ierr = VecCopy(x,pcis->vec1_global);CHKERRQ(ierr); 2325 ierr = VecScatterBegin(pcis->global_to_B,x,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2326 ierr = VecScatterEnd(pcis->global_to_B,x,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2327 ierr = MatMult(localChangeOfBasisMatrix,pcis->vec1_B,pcis->vec2_B);CHKERRQ(ierr); 2328 ierr = VecScatterBegin(pcis->global_to_B,pcis->vec2_B,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2329 ierr = VecScatterEnd(pcis->global_to_B,pcis->vec2_B,x,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2330 ierr = MatMult(pcbddc->ChangeOfBasisMatrix,pcis->vec1_global,x_change);CHKERRQ(ierr); 2331 ierr = VecAXPY(x,-1.0,x_change);CHKERRQ(ierr); 2332 ierr = VecNorm(x,NORM_INFINITY,&error);CHKERRQ(ierr); 2333 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 2334 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Error global vs local change on B: %1.6e\n",error);CHKERRQ(ierr); 2335 ierr = VecDestroy(&x);CHKERRQ(ierr); 2336 ierr = VecDestroy(&x_change);CHKERRQ(ierr); 2337 } 2338 ierr = MatDestroy(&localChangeOfBasisMatrix);CHKERRQ(ierr); 2339 2340 /* 2341 ierr = PetscViewerSetFormat(PETSC_VIEWER_STDOUT_SELF,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 2342 ierr = MatView(local_ChangeOfBasisMatrix,(PetscViewer)0);CHKERRQ(ierr); 2343 */ 2344 } else if (pcbddc->user_ChangeOfBasisMatrix) { 2345 ierr = PetscObjectReference((PetscObject)pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr); 2346 pcbddc->ChangeOfBasisMatrix = pcbddc->user_ChangeOfBasisMatrix; 2347 } 2348 2349 /* set up change of basis context */ 2350 if (pcbddc->ChangeOfBasisMatrix) { 2351 PCBDDCChange_ctx change_ctx; 2352 2353 if (!pcbddc->new_global_mat) { 2354 PetscInt global_size,local_size; 2355 2356 ierr = VecGetSize(pcis->vec1_global,&global_size);CHKERRQ(ierr); 2357 ierr = VecGetLocalSize(pcis->vec1_global,&local_size);CHKERRQ(ierr); 2358 ierr = MatCreate(PetscObjectComm((PetscObject)pc),&pcbddc->new_global_mat);CHKERRQ(ierr); 2359 ierr = MatSetSizes(pcbddc->new_global_mat,local_size,local_size,global_size,global_size);CHKERRQ(ierr); 2360 ierr = MatSetType(pcbddc->new_global_mat,MATSHELL);CHKERRQ(ierr); 2361 ierr = MatShellSetOperation(pcbddc->new_global_mat,MATOP_MULT,(void (*)(void))PCBDDCMatMult_Private);CHKERRQ(ierr); 2362 ierr = MatShellSetOperation(pcbddc->new_global_mat,MATOP_MULT_TRANSPOSE,(void (*)(void))PCBDDCMatMultTranspose_Private);CHKERRQ(ierr); 2363 ierr = PetscNew(&change_ctx);CHKERRQ(ierr); 2364 ierr = MatShellSetContext(pcbddc->new_global_mat,change_ctx);CHKERRQ(ierr); 2365 } else { 2366 ierr = MatShellGetContext(pcbddc->new_global_mat,&change_ctx);CHKERRQ(ierr); 2367 ierr = MatDestroy(&change_ctx->global_change);CHKERRQ(ierr); 2368 ierr = VecDestroyVecs(2,&change_ctx->work);CHKERRQ(ierr); 2369 } 2370 if (!pcbddc->user_ChangeOfBasisMatrix) { 2371 ierr = PetscObjectReference((PetscObject)pcbddc->ChangeOfBasisMatrix);CHKERRQ(ierr); 2372 change_ctx->global_change = pcbddc->ChangeOfBasisMatrix; 2373 } else { 2374 ierr = PetscObjectReference((PetscObject)pcbddc->user_ChangeOfBasisMatrix);CHKERRQ(ierr); 2375 change_ctx->global_change = pcbddc->user_ChangeOfBasisMatrix; 2376 } 2377 ierr = VecDuplicateVecs(pcis->vec1_global,2,&change_ctx->work);CHKERRQ(ierr); 2378 ierr = MatSetUp(pcbddc->new_global_mat);CHKERRQ(ierr); 2379 ierr = MatAssemblyBegin(pcbddc->new_global_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2380 ierr = MatAssemblyEnd(pcbddc->new_global_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 2381 } 2382 2383 /* get indices in local ordering for vertices and constraints */ 2384 if (olocal_primal_size == pcbddc->local_primal_size) { /* if this is true, I need to check if a new primal space has been introduced */ 2385 ierr = PetscMalloc1(olocal_primal_size,&oprimal_indices_local_idxs);CHKERRQ(ierr); 2386 ierr = PetscMemcpy(oprimal_indices_local_idxs,pcbddc->primal_indices_local_idxs,olocal_primal_size*sizeof(PetscInt));CHKERRQ(ierr); 2387 } 2388 ierr = PetscFree(aux_primal_numbering);CHKERRQ(ierr); 2389 ierr = PetscFree(pcbddc->primal_indices_local_idxs);CHKERRQ(ierr); 2390 ierr = PetscMalloc1(pcbddc->local_primal_size,&pcbddc->primal_indices_local_idxs);CHKERRQ(ierr); 2391 ierr = PCBDDCGetPrimalVerticesLocalIdx(pc,&i,&aux_primal_numbering);CHKERRQ(ierr); 2392 ierr = PetscMemcpy(pcbddc->primal_indices_local_idxs,aux_primal_numbering,i*sizeof(PetscInt));CHKERRQ(ierr); 2393 ierr = PetscFree(aux_primal_numbering);CHKERRQ(ierr); 2394 ierr = PCBDDCGetPrimalConstraintsLocalIdx(pc,&j,&aux_primal_numbering);CHKERRQ(ierr); 2395 ierr = PetscMemcpy(&pcbddc->primal_indices_local_idxs[i],aux_primal_numbering,j*sizeof(PetscInt));CHKERRQ(ierr); 2396 ierr = PetscFree(aux_primal_numbering);CHKERRQ(ierr); 2397 /* set quantities in PCBDDC data struct */ 2398 pcbddc->n_actual_vertices = i; 2399 /* check if a new primal space has been introduced */ 2400 pcbddc->new_primal_space_local = PETSC_TRUE; 2401 if (olocal_primal_size == pcbddc->local_primal_size) { 2402 ierr = PetscMemcmp(pcbddc->primal_indices_local_idxs,oprimal_indices_local_idxs,olocal_primal_size,&pcbddc->new_primal_space_local);CHKERRQ(ierr); 2403 pcbddc->new_primal_space_local = (PetscBool)(!pcbddc->new_primal_space_local); 2404 ierr = PetscFree(oprimal_indices_local_idxs);CHKERRQ(ierr); 2405 } 2406 /* new_primal_space will be used for numbering of coarse dofs, so it should be the same across all subdomains */ 2407 ierr = MPI_Allreduce(&pcbddc->new_primal_space_local,&pcbddc->new_primal_space,1,MPIU_BOOL,MPI_LOR,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 2408 2409 /* flush dbg viewer */ 2410 if (pcbddc->dbg_flag) { 2411 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 2412 } 2413 2414 /* free workspace */ 2415 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 2416 ierr = PetscBTDestroy(&qr_needed_idx);CHKERRQ(ierr); 2417 ierr = PetscFree(aux_primal_minloc);CHKERRQ(ierr); 2418 ierr = PetscBTDestroy(&change_basis);CHKERRQ(ierr); 2419 ierr = PetscFree(temp_indices);CHKERRQ(ierr); 2420 ierr = PetscFree3(temp_quadrature_constraint,temp_indices_to_constraint,temp_indices_to_constraint_B);CHKERRQ(ierr); 2421 PetscFunctionReturn(0); 2422 } 2423 2424 #undef __FUNCT__ 2425 #define __FUNCT__ "PCBDDCAnalyzeInterface" 2426 PetscErrorCode PCBDDCAnalyzeInterface(PC pc) 2427 { 2428 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 2429 PC_IS *pcis = (PC_IS*)pc->data; 2430 Mat_IS *matis = (Mat_IS*)pc->pmat->data; 2431 PetscInt ierr,i,vertex_size; 2432 PetscViewer viewer=pcbddc->dbg_viewer; 2433 2434 PetscFunctionBegin; 2435 /* Reset previously computed graph */ 2436 ierr = PCBDDCGraphReset(pcbddc->mat_graph);CHKERRQ(ierr); 2437 /* Init local Graph struct */ 2438 ierr = PCBDDCGraphInit(pcbddc->mat_graph,matis->mapping);CHKERRQ(ierr); 2439 2440 /* Check validity of the csr graph passed in by the user */ 2441 if (pcbddc->mat_graph->nvtxs_csr != pcbddc->mat_graph->nvtxs) { 2442 ierr = PCBDDCGraphResetCSR(pcbddc->mat_graph);CHKERRQ(ierr); 2443 } 2444 2445 /* Set default CSR adjacency of local dofs if not provided by the user with PCBDDCSetLocalAdjacencyGraph */ 2446 if (pcbddc->use_local_adj && (!pcbddc->mat_graph->xadj || !pcbddc->mat_graph->adjncy)) { 2447 Mat mat_adj; 2448 const PetscInt *xadj,*adjncy; 2449 PetscBool flg_row=PETSC_TRUE; 2450 2451 ierr = MatConvert(matis->A,MATMPIADJ,MAT_INITIAL_MATRIX,&mat_adj);CHKERRQ(ierr); 2452 ierr = MatGetRowIJ(mat_adj,0,PETSC_TRUE,PETSC_FALSE,&i,&xadj,&adjncy,&flg_row);CHKERRQ(ierr); 2453 if (!flg_row) { 2454 SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in MatGetRowIJ called in %s\n",__FUNCT__); 2455 } 2456 ierr = PCBDDCSetLocalAdjacencyGraph(pc,i,xadj,adjncy,PETSC_COPY_VALUES);CHKERRQ(ierr); 2457 ierr = MatRestoreRowIJ(mat_adj,0,PETSC_TRUE,PETSC_FALSE,&i,&xadj,&adjncy,&flg_row);CHKERRQ(ierr); 2458 if (!flg_row) { 2459 SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in MatRestoreRowIJ called in %s\n",__FUNCT__); 2460 } 2461 ierr = MatDestroy(&mat_adj);CHKERRQ(ierr); 2462 pcbddc->deluxe_compute_rowadj = PETSC_FALSE; 2463 } 2464 2465 /* Set default dofs' splitting if no information has been provided by the user with PCBDDCSetDofsSplitting or PCBDDCSetDofsSplittingLocal */ 2466 vertex_size = 1; 2467 if (pcbddc->user_provided_isfordofs) { 2468 if (pcbddc->n_ISForDofs) { /* need to convert from global to local and remove references to global dofs splitting */ 2469 ierr = PetscMalloc1(pcbddc->n_ISForDofs,&pcbddc->ISForDofsLocal);CHKERRQ(ierr); 2470 for (i=0;i<pcbddc->n_ISForDofs;i++) { 2471 ierr = PCBDDCGlobalToLocal(matis->ctx,pcis->vec1_global,pcis->vec1_N,pcbddc->ISForDofs[i],&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr); 2472 ierr = ISDestroy(&pcbddc->ISForDofs[i]);CHKERRQ(ierr); 2473 } 2474 pcbddc->n_ISForDofsLocal = pcbddc->n_ISForDofs; 2475 pcbddc->n_ISForDofs = 0; 2476 ierr = PetscFree(pcbddc->ISForDofs);CHKERRQ(ierr); 2477 } 2478 /* mat block size as vertex size (used for elasticity with rigid body modes as nearnullspace) */ 2479 ierr = MatGetBlockSize(matis->A,&vertex_size);CHKERRQ(ierr); 2480 } else { 2481 if (!pcbddc->n_ISForDofsLocal) { /* field split not present, create it in local ordering */ 2482 ierr = MatGetBlockSize(pc->pmat,&pcbddc->n_ISForDofsLocal);CHKERRQ(ierr); 2483 ierr = PetscMalloc(pcbddc->n_ISForDofsLocal*sizeof(IS),&pcbddc->ISForDofsLocal);CHKERRQ(ierr); 2484 for (i=0;i<pcbddc->n_ISForDofsLocal;i++) { 2485 ierr = ISCreateStride(PetscObjectComm((PetscObject)pc),pcis->n/pcbddc->n_ISForDofsLocal,i,pcbddc->n_ISForDofsLocal,&pcbddc->ISForDofsLocal[i]);CHKERRQ(ierr); 2486 } 2487 } 2488 } 2489 2490 /* Setup of Graph */ 2491 if (!pcbddc->DirichletBoundariesLocal && pcbddc->DirichletBoundaries) { /* need to convert from global to local */ 2492 ierr = PCBDDCGlobalToLocal(matis->ctx,pcis->vec1_global,pcis->vec1_N,pcbddc->DirichletBoundaries,&pcbddc->DirichletBoundariesLocal);CHKERRQ(ierr); 2493 } 2494 if (!pcbddc->NeumannBoundariesLocal && pcbddc->NeumannBoundaries) { /* need to convert from global to local */ 2495 ierr = PCBDDCGlobalToLocal(matis->ctx,pcis->vec1_global,pcis->vec1_N,pcbddc->NeumannBoundaries,&pcbddc->NeumannBoundariesLocal);CHKERRQ(ierr); 2496 } 2497 ierr = PCBDDCGraphSetUp(pcbddc->mat_graph,vertex_size,pcbddc->NeumannBoundariesLocal,pcbddc->DirichletBoundariesLocal,pcbddc->n_ISForDofsLocal,pcbddc->ISForDofsLocal,pcbddc->user_primal_vertices); 2498 2499 /* Graph's connected components analysis */ 2500 ierr = PCBDDCGraphComputeConnectedComponents(pcbddc->mat_graph);CHKERRQ(ierr); 2501 2502 /* print some info to stdout */ 2503 if (pcbddc->dbg_flag) { 2504 ierr = PCBDDCGraphASCIIView(pcbddc->mat_graph,pcbddc->dbg_flag,viewer); 2505 } 2506 2507 /* mark topography has done */ 2508 pcbddc->recompute_topography = PETSC_FALSE; 2509 PetscFunctionReturn(0); 2510 } 2511 2512 #undef __FUNCT__ 2513 #define __FUNCT__ "PCBDDCGetPrimalVerticesLocalIdx" 2514 PetscErrorCode PCBDDCGetPrimalVerticesLocalIdx(PC pc, PetscInt *n_vertices, PetscInt **vertices_idx) 2515 { 2516 PC_BDDC *pcbddc = (PC_BDDC*)(pc->data); 2517 PetscInt *vertices,*row_cmat_indices,n,i,size_of_constraint,local_primal_size; 2518 PetscErrorCode ierr; 2519 2520 PetscFunctionBegin; 2521 n = 0; 2522 vertices = 0; 2523 if (pcbddc->ConstraintMatrix) { 2524 ierr = MatGetSize(pcbddc->ConstraintMatrix,&local_primal_size,&i);CHKERRQ(ierr); 2525 for (i=0;i<local_primal_size;i++) { 2526 ierr = MatGetRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,NULL,NULL);CHKERRQ(ierr); 2527 if (size_of_constraint == 1) n++; 2528 ierr = MatRestoreRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,NULL,NULL);CHKERRQ(ierr); 2529 } 2530 if (vertices_idx) { 2531 ierr = PetscMalloc1(n,&vertices);CHKERRQ(ierr); 2532 n = 0; 2533 for (i=0;i<local_primal_size;i++) { 2534 ierr = MatGetRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,(const PetscInt**)&row_cmat_indices,NULL);CHKERRQ(ierr); 2535 if (size_of_constraint == 1) { 2536 vertices[n++]=row_cmat_indices[0]; 2537 } 2538 ierr = MatRestoreRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,(const PetscInt**)&row_cmat_indices,NULL);CHKERRQ(ierr); 2539 } 2540 } 2541 } 2542 *n_vertices = n; 2543 if (vertices_idx) *vertices_idx = vertices; 2544 PetscFunctionReturn(0); 2545 } 2546 2547 #undef __FUNCT__ 2548 #define __FUNCT__ "PCBDDCGetPrimalConstraintsLocalIdx" 2549 PetscErrorCode PCBDDCGetPrimalConstraintsLocalIdx(PC pc, PetscInt *n_constraints, PetscInt **constraints_idx) 2550 { 2551 PC_BDDC *pcbddc = (PC_BDDC*)(pc->data); 2552 PetscInt *constraints_index,*row_cmat_indices,*row_cmat_global_indices; 2553 PetscInt n,i,j,size_of_constraint,local_primal_size,local_size,max_size_of_constraint,min_index,min_loc; 2554 PetscBT touched; 2555 PetscErrorCode ierr; 2556 2557 /* This function assumes that the number of local constraints per connected component 2558 is not greater than the number of nodes defined for the connected component 2559 (otherwise we will surely have linear dependence between constraints and thus a singular coarse problem) */ 2560 PetscFunctionBegin; 2561 n = 0; 2562 constraints_index = 0; 2563 if (pcbddc->ConstraintMatrix) { 2564 ierr = MatGetSize(pcbddc->ConstraintMatrix,&local_primal_size,&local_size);CHKERRQ(ierr); 2565 max_size_of_constraint = 0; 2566 for (i=0;i<local_primal_size;i++) { 2567 ierr = MatGetRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,NULL,NULL);CHKERRQ(ierr); 2568 if (size_of_constraint > 1) { 2569 n++; 2570 } 2571 max_size_of_constraint = PetscMax(size_of_constraint,max_size_of_constraint); 2572 ierr = MatRestoreRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,NULL,NULL);CHKERRQ(ierr); 2573 } 2574 if (constraints_idx) { 2575 ierr = PetscMalloc1(n,&constraints_index);CHKERRQ(ierr); 2576 ierr = PetscMalloc1(max_size_of_constraint,&row_cmat_global_indices);CHKERRQ(ierr); 2577 ierr = PetscBTCreate(local_size,&touched);CHKERRQ(ierr); 2578 n = 0; 2579 for (i=0;i<local_primal_size;i++) { 2580 ierr = MatGetRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,(const PetscInt**)&row_cmat_indices,NULL);CHKERRQ(ierr); 2581 if (size_of_constraint > 1) { 2582 ierr = ISLocalToGlobalMappingApply(pcbddc->mat_graph->l2gmap,size_of_constraint,row_cmat_indices,row_cmat_global_indices);CHKERRQ(ierr); 2583 /* find first untouched local node */ 2584 j = 0; 2585 while (PetscBTLookup(touched,row_cmat_indices[j])) j++; 2586 min_index = row_cmat_global_indices[j]; 2587 min_loc = j; 2588 /* search the minimum among nodes not yet touched on the connected component 2589 since there can be more than one constraint on a single cc */ 2590 for (j=1;j<size_of_constraint;j++) { 2591 if (!PetscBTLookup(touched,row_cmat_indices[j]) && min_index > row_cmat_global_indices[j]) { 2592 min_index = row_cmat_global_indices[j]; 2593 min_loc = j; 2594 } 2595 } 2596 ierr = PetscBTSet(touched,row_cmat_indices[min_loc]);CHKERRQ(ierr); 2597 constraints_index[n++] = row_cmat_indices[min_loc]; 2598 } 2599 ierr = MatRestoreRow(pcbddc->ConstraintMatrix,i,&size_of_constraint,(const PetscInt**)&row_cmat_indices,NULL);CHKERRQ(ierr); 2600 } 2601 ierr = PetscBTDestroy(&touched);CHKERRQ(ierr); 2602 ierr = PetscFree(row_cmat_global_indices);CHKERRQ(ierr); 2603 } 2604 } 2605 *n_constraints = n; 2606 if (constraints_idx) *constraints_idx = constraints_index; 2607 PetscFunctionReturn(0); 2608 } 2609 2610 #undef __FUNCT__ 2611 #define __FUNCT__ "PCBDDCSubsetNumbering" 2612 PetscErrorCode PCBDDCSubsetNumbering(MPI_Comm comm,ISLocalToGlobalMapping l2gmap, PetscInt n_local_dofs, PetscInt local_dofs[], PetscInt local_dofs_mult[], PetscInt* n_global_subset, PetscInt* global_numbering_subset[]) 2613 { 2614 Vec local_vec,global_vec; 2615 IS seqis,paris; 2616 VecScatter scatter_ctx; 2617 PetscScalar *array; 2618 PetscInt *temp_global_dofs; 2619 PetscScalar globalsum; 2620 PetscInt i,j,s; 2621 PetscInt nlocals,first_index,old_index,max_local; 2622 PetscMPIInt rank_prec_comm,size_prec_comm,max_global; 2623 PetscMPIInt *dof_sizes,*dof_displs; 2624 PetscBool first_found; 2625 PetscErrorCode ierr; 2626 2627 PetscFunctionBegin; 2628 /* mpi buffers */ 2629 ierr = MPI_Comm_size(comm,&size_prec_comm);CHKERRQ(ierr); 2630 ierr = MPI_Comm_rank(comm,&rank_prec_comm);CHKERRQ(ierr); 2631 j = ( !rank_prec_comm ? size_prec_comm : 0); 2632 ierr = PetscMalloc1(j,&dof_sizes);CHKERRQ(ierr); 2633 ierr = PetscMalloc1(j,&dof_displs);CHKERRQ(ierr); 2634 /* get maximum size of subset */ 2635 ierr = PetscMalloc1(n_local_dofs,&temp_global_dofs);CHKERRQ(ierr); 2636 ierr = ISLocalToGlobalMappingApply(l2gmap,n_local_dofs,local_dofs,temp_global_dofs);CHKERRQ(ierr); 2637 max_local = 0; 2638 for (i=0;i<n_local_dofs;i++) { 2639 if (max_local < temp_global_dofs[i] ) { 2640 max_local = temp_global_dofs[i]; 2641 } 2642 } 2643 ierr = MPI_Allreduce(&max_local,&max_global,1,MPIU_INT,MPI_MAX,comm);CHKERRQ(ierr); 2644 max_global++; 2645 max_local = 0; 2646 for (i=0;i<n_local_dofs;i++) { 2647 if (max_local < local_dofs[i] ) { 2648 max_local = local_dofs[i]; 2649 } 2650 } 2651 max_local++; 2652 /* allocate workspace */ 2653 ierr = VecCreate(PETSC_COMM_SELF,&local_vec);CHKERRQ(ierr); 2654 ierr = VecSetSizes(local_vec,PETSC_DECIDE,max_local);CHKERRQ(ierr); 2655 ierr = VecSetType(local_vec,VECSEQ);CHKERRQ(ierr); 2656 ierr = VecCreate(comm,&global_vec);CHKERRQ(ierr); 2657 ierr = VecSetSizes(global_vec,PETSC_DECIDE,max_global);CHKERRQ(ierr); 2658 ierr = VecSetType(global_vec,VECMPI);CHKERRQ(ierr); 2659 /* create scatter */ 2660 ierr = ISCreateGeneral(PETSC_COMM_SELF,n_local_dofs,local_dofs,PETSC_COPY_VALUES,&seqis);CHKERRQ(ierr); 2661 ierr = ISCreateGeneral(comm,n_local_dofs,temp_global_dofs,PETSC_COPY_VALUES,&paris);CHKERRQ(ierr); 2662 ierr = VecScatterCreate(local_vec,seqis,global_vec,paris,&scatter_ctx);CHKERRQ(ierr); 2663 ierr = ISDestroy(&seqis);CHKERRQ(ierr); 2664 ierr = ISDestroy(&paris);CHKERRQ(ierr); 2665 /* init array */ 2666 ierr = VecSet(global_vec,0.0);CHKERRQ(ierr); 2667 ierr = VecSet(local_vec,0.0);CHKERRQ(ierr); 2668 ierr = VecGetArray(local_vec,&array);CHKERRQ(ierr); 2669 if (local_dofs_mult) { 2670 for (i=0;i<n_local_dofs;i++) { 2671 array[local_dofs[i]]=(PetscScalar)local_dofs_mult[i]; 2672 } 2673 } else { 2674 for (i=0;i<n_local_dofs;i++) { 2675 array[local_dofs[i]]=1.0; 2676 } 2677 } 2678 ierr = VecRestoreArray(local_vec,&array);CHKERRQ(ierr); 2679 /* scatter into global vec and get total number of global dofs */ 2680 ierr = VecScatterBegin(scatter_ctx,local_vec,global_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2681 ierr = VecScatterEnd(scatter_ctx,local_vec,global_vec,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 2682 ierr = VecSum(global_vec,&globalsum);CHKERRQ(ierr); 2683 *n_global_subset = (PetscInt)PetscRealPart(globalsum); 2684 /* Fill global_vec with cumulative function for global numbering */ 2685 ierr = VecGetArray(global_vec,&array);CHKERRQ(ierr); 2686 ierr = VecGetLocalSize(global_vec,&s);CHKERRQ(ierr); 2687 nlocals = 0; 2688 first_index = -1; 2689 first_found = PETSC_FALSE; 2690 for (i=0;i<s;i++) { 2691 if (!first_found && PetscRealPart(array[i]) > 0.1) { 2692 first_found = PETSC_TRUE; 2693 first_index = i; 2694 } 2695 nlocals += (PetscInt)PetscRealPart(array[i]); 2696 } 2697 ierr = MPI_Gather(&nlocals,1,MPIU_INT,dof_sizes,1,MPIU_INT,0,comm);CHKERRQ(ierr); 2698 if (!rank_prec_comm) { 2699 dof_displs[0]=0; 2700 for (i=1;i<size_prec_comm;i++) { 2701 dof_displs[i] = dof_displs[i-1]+dof_sizes[i-1]; 2702 } 2703 } 2704 ierr = MPI_Scatter(dof_displs,1,MPIU_INT,&nlocals,1,MPIU_INT,0,comm);CHKERRQ(ierr); 2705 if (first_found) { 2706 array[first_index] += (PetscScalar)nlocals; 2707 old_index = first_index; 2708 for (i=first_index+1;i<s;i++) { 2709 if (PetscRealPart(array[i]) > 0.1) { 2710 array[i] += array[old_index]; 2711 old_index = i; 2712 } 2713 } 2714 } 2715 ierr = VecRestoreArray(global_vec,&array);CHKERRQ(ierr); 2716 ierr = VecSet(local_vec,0.0);CHKERRQ(ierr); 2717 ierr = VecScatterBegin(scatter_ctx,global_vec,local_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2718 ierr = VecScatterEnd(scatter_ctx,global_vec,local_vec,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 2719 /* get global ordering of local dofs */ 2720 ierr = VecGetArray(local_vec,&array);CHKERRQ(ierr); 2721 if (local_dofs_mult) { 2722 for (i=0;i<n_local_dofs;i++) { 2723 temp_global_dofs[i] = (PetscInt)PetscRealPart(array[local_dofs[i]])-local_dofs_mult[i]; 2724 } 2725 } else { 2726 for (i=0;i<n_local_dofs;i++) { 2727 temp_global_dofs[i] = (PetscInt)PetscRealPart(array[local_dofs[i]])-1; 2728 } 2729 } 2730 ierr = VecRestoreArray(local_vec,&array);CHKERRQ(ierr); 2731 /* free workspace */ 2732 ierr = VecScatterDestroy(&scatter_ctx);CHKERRQ(ierr); 2733 ierr = VecDestroy(&local_vec);CHKERRQ(ierr); 2734 ierr = VecDestroy(&global_vec);CHKERRQ(ierr); 2735 ierr = PetscFree(dof_sizes);CHKERRQ(ierr); 2736 ierr = PetscFree(dof_displs);CHKERRQ(ierr); 2737 /* return pointer to global ordering of local dofs */ 2738 *global_numbering_subset = temp_global_dofs; 2739 PetscFunctionReturn(0); 2740 } 2741 2742 #undef __FUNCT__ 2743 #define __FUNCT__ "PCBDDCOrthonormalizeVecs" 2744 PetscErrorCode PCBDDCOrthonormalizeVecs(PetscInt n, Vec vecs[]) 2745 { 2746 PetscInt i,j; 2747 PetscScalar *alphas; 2748 PetscErrorCode ierr; 2749 2750 PetscFunctionBegin; 2751 /* this implements stabilized Gram-Schmidt */ 2752 ierr = PetscMalloc1(n,&alphas);CHKERRQ(ierr); 2753 for (i=0;i<n;i++) { 2754 ierr = VecNormalize(vecs[i],NULL);CHKERRQ(ierr); 2755 if (i<n) { ierr = VecMDot(vecs[i],n-i-1,&vecs[i+1],&alphas[i+1]);CHKERRQ(ierr); } 2756 for (j=i+1;j<n;j++) { ierr = VecAXPY(vecs[j],PetscConj(-alphas[j]),vecs[i]);CHKERRQ(ierr); } 2757 } 2758 ierr = PetscFree(alphas);CHKERRQ(ierr); 2759 PetscFunctionReturn(0); 2760 } 2761 2762 #undef __FUNCT__ 2763 #define __FUNCT__ "MatISGetSubassemblingPattern" 2764 PetscErrorCode MatISGetSubassemblingPattern(Mat mat, PetscInt n_subdomains, PetscBool contiguous, IS* is_sends) 2765 { 2766 Mat subdomain_adj; 2767 IS new_ranks,ranks_send_to; 2768 MatPartitioning partitioner; 2769 Mat_IS *matis; 2770 PetscInt n_neighs,*neighs,*n_shared,**shared; 2771 PetscInt prank; 2772 PetscMPIInt size,rank,color; 2773 PetscInt *xadj,*adjncy,*oldranks; 2774 PetscInt *adjncy_wgt,*v_wgt,*is_indices,*ranks_send_to_idx; 2775 PetscInt i,local_size,threshold=0; 2776 PetscErrorCode ierr; 2777 PetscBool use_vwgt=PETSC_FALSE,use_square=PETSC_FALSE; 2778 PetscSubcomm subcomm; 2779 2780 PetscFunctionBegin; 2781 ierr = PetscOptionsGetBool(NULL,"-matis_partitioning_use_square",&use_square,NULL);CHKERRQ(ierr); 2782 ierr = PetscOptionsGetBool(NULL,"-matis_partitioning_use_vwgt",&use_vwgt,NULL);CHKERRQ(ierr); 2783 ierr = PetscOptionsGetInt(NULL,"-matis_partitioning_threshold",&threshold,NULL);CHKERRQ(ierr); 2784 2785 /* Get info on mapping */ 2786 matis = (Mat_IS*)(mat->data); 2787 ierr = ISLocalToGlobalMappingGetSize(matis->mapping,&local_size);CHKERRQ(ierr); 2788 ierr = ISLocalToGlobalMappingGetInfo(matis->mapping,&n_neighs,&neighs,&n_shared,&shared);CHKERRQ(ierr); 2789 2790 /* build local CSR graph of subdomains' connectivity */ 2791 ierr = PetscMalloc1(2,&xadj);CHKERRQ(ierr); 2792 xadj[0] = 0; 2793 xadj[1] = PetscMax(n_neighs-1,0); 2794 ierr = PetscMalloc1(xadj[1],&adjncy);CHKERRQ(ierr); 2795 ierr = PetscMalloc1(xadj[1],&adjncy_wgt);CHKERRQ(ierr); 2796 2797 if (threshold) { 2798 PetscInt xadj_count = 0; 2799 for (i=1;i<n_neighs;i++) { 2800 if (n_shared[i] > threshold) { 2801 adjncy[xadj_count] = neighs[i]; 2802 adjncy_wgt[xadj_count] = n_shared[i]; 2803 xadj_count++; 2804 } 2805 } 2806 xadj[1] = xadj_count; 2807 } else { 2808 if (xadj[1]) { 2809 ierr = PetscMemcpy(adjncy,&neighs[1],xadj[1]*sizeof(*adjncy));CHKERRQ(ierr); 2810 ierr = PetscMemcpy(adjncy_wgt,&n_shared[1],xadj[1]*sizeof(*adjncy_wgt));CHKERRQ(ierr); 2811 } 2812 } 2813 ierr = ISLocalToGlobalMappingRestoreInfo(matis->mapping,&n_neighs,&neighs,&n_shared,&shared);CHKERRQ(ierr); 2814 if (use_square) { 2815 for (i=0;i<xadj[1];i++) { 2816 adjncy_wgt[i] = adjncy_wgt[i]*adjncy_wgt[i]; 2817 } 2818 } 2819 ierr = PetscSortIntWithArray(xadj[1],adjncy,adjncy_wgt);CHKERRQ(ierr); 2820 2821 ierr = PetscMalloc1(1,&ranks_send_to_idx);CHKERRQ(ierr); 2822 2823 /* 2824 Restrict work on active processes only. 2825 */ 2826 ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)mat),&subcomm);CHKERRQ(ierr); 2827 ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr); /* 2 groups, active process and not active processes */ 2828 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)mat),&rank);CHKERRQ(ierr); 2829 ierr = PetscMPIIntCast(!local_size,&color);CHKERRQ(ierr); 2830 ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr); 2831 if (color) { 2832 ierr = PetscFree(xadj);CHKERRQ(ierr); 2833 ierr = PetscFree(adjncy);CHKERRQ(ierr); 2834 ierr = PetscFree(adjncy_wgt);CHKERRQ(ierr); 2835 } else { 2836 PetscInt coarsening_ratio; 2837 ierr = MPI_Comm_size(subcomm->comm,&size);CHKERRQ(ierr); 2838 ierr = PetscMalloc1(size,&oldranks);CHKERRQ(ierr); 2839 prank = rank; 2840 ierr = MPI_Allgather(&prank,1,MPIU_INT,oldranks,1,MPIU_INT,subcomm->comm);CHKERRQ(ierr); 2841 /* 2842 for (i=0;i<size;i++) { 2843 PetscPrintf(subcomm->comm,"oldranks[%d] = %d\n",i,oldranks[i]); 2844 } 2845 */ 2846 for (i=0;i<xadj[1];i++) { 2847 ierr = PetscFindInt(adjncy[i],size,oldranks,&adjncy[i]);CHKERRQ(ierr); 2848 } 2849 ierr = PetscSortIntWithArray(xadj[1],adjncy,adjncy_wgt);CHKERRQ(ierr); 2850 ierr = MatCreateMPIAdj(subcomm->comm,1,(PetscInt)size,xadj,adjncy,adjncy_wgt,&subdomain_adj);CHKERRQ(ierr); 2851 /* ierr = MatView(subdomain_adj,0);CHKERRQ(ierr); */ 2852 2853 /* Partition */ 2854 ierr = MatPartitioningCreate(subcomm->comm,&partitioner);CHKERRQ(ierr); 2855 ierr = MatPartitioningSetAdjacency(partitioner,subdomain_adj);CHKERRQ(ierr); 2856 if (use_vwgt) { 2857 ierr = PetscMalloc1(1,&v_wgt);CHKERRQ(ierr); 2858 v_wgt[0] = local_size; 2859 ierr = MatPartitioningSetVertexWeights(partitioner,v_wgt);CHKERRQ(ierr); 2860 } 2861 n_subdomains = PetscMin((PetscInt)size,n_subdomains); 2862 coarsening_ratio = size/n_subdomains; 2863 ierr = MatPartitioningSetNParts(partitioner,n_subdomains);CHKERRQ(ierr); 2864 ierr = MatPartitioningSetFromOptions(partitioner);CHKERRQ(ierr); 2865 ierr = MatPartitioningApply(partitioner,&new_ranks);CHKERRQ(ierr); 2866 /* ierr = MatPartitioningView(partitioner,0);CHKERRQ(ierr); */ 2867 2868 ierr = ISGetIndices(new_ranks,(const PetscInt**)&is_indices);CHKERRQ(ierr); 2869 if (contiguous) { 2870 ranks_send_to_idx[0] = oldranks[is_indices[0]]; /* contiguos set of processes */ 2871 } else { 2872 ranks_send_to_idx[0] = coarsening_ratio*oldranks[is_indices[0]]; /* scattered set of processes */ 2873 } 2874 ierr = ISRestoreIndices(new_ranks,(const PetscInt**)&is_indices);CHKERRQ(ierr); 2875 /* clean up */ 2876 ierr = PetscFree(oldranks);CHKERRQ(ierr); 2877 ierr = ISDestroy(&new_ranks);CHKERRQ(ierr); 2878 ierr = MatDestroy(&subdomain_adj);CHKERRQ(ierr); 2879 ierr = MatPartitioningDestroy(&partitioner);CHKERRQ(ierr); 2880 } 2881 ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr); 2882 2883 /* assemble parallel IS for sends */ 2884 i = 1; 2885 if (color) i=0; 2886 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)mat),i,ranks_send_to_idx,PETSC_OWN_POINTER,&ranks_send_to);CHKERRQ(ierr); 2887 2888 /* get back IS */ 2889 *is_sends = ranks_send_to; 2890 PetscFunctionReturn(0); 2891 } 2892 2893 typedef enum {MATDENSE_PRIVATE=0,MATAIJ_PRIVATE,MATBAIJ_PRIVATE,MATSBAIJ_PRIVATE}MatTypePrivate; 2894 2895 #undef __FUNCT__ 2896 #define __FUNCT__ "MatISSubassemble" 2897 PetscErrorCode MatISSubassemble(Mat mat, IS is_sends, PetscInt n_subdomains, PetscBool restrict_comm, MatReuse reuse, Mat *mat_n, PetscInt nis, IS isarray[]) 2898 { 2899 Mat local_mat; 2900 Mat_IS *matis; 2901 IS is_sends_internal; 2902 PetscInt rows,cols,new_local_rows; 2903 PetscInt i,bs,buf_size_idxs,buf_size_idxs_is,buf_size_vals; 2904 PetscBool ismatis,isdense,newisdense,destroy_mat; 2905 ISLocalToGlobalMapping l2gmap; 2906 PetscInt* l2gmap_indices; 2907 const PetscInt* is_indices; 2908 MatType new_local_type; 2909 /* buffers */ 2910 PetscInt *ptr_idxs,*send_buffer_idxs,*recv_buffer_idxs; 2911 PetscInt *ptr_idxs_is,*send_buffer_idxs_is,*recv_buffer_idxs_is; 2912 PetscInt *recv_buffer_idxs_local; 2913 PetscScalar *ptr_vals,*send_buffer_vals,*recv_buffer_vals; 2914 /* MPI */ 2915 MPI_Comm comm,comm_n; 2916 PetscSubcomm subcomm; 2917 PetscMPIInt n_sends,n_recvs,commsize; 2918 PetscMPIInt *iflags,*ilengths_idxs,*ilengths_vals,*ilengths_idxs_is; 2919 PetscMPIInt *onodes,*onodes_is,*olengths_idxs,*olengths_idxs_is,*olengths_vals; 2920 PetscMPIInt len,tag_idxs,tag_idxs_is,tag_vals,source_dest; 2921 MPI_Request *send_req_idxs,*send_req_idxs_is,*send_req_vals; 2922 MPI_Request *recv_req_idxs,*recv_req_idxs_is,*recv_req_vals; 2923 PetscErrorCode ierr; 2924 2925 PetscFunctionBegin; 2926 /* TODO: add missing checks */ 2927 PetscValidLogicalCollectiveInt(mat,n_subdomains,3); 2928 PetscValidLogicalCollectiveBool(mat,restrict_comm,4); 2929 PetscValidLogicalCollectiveEnum(mat,reuse,5); 2930 PetscValidLogicalCollectiveInt(mat,nis,7); 2931 ierr = PetscObjectTypeCompare((PetscObject)mat,MATIS,&ismatis);CHKERRQ(ierr); 2932 if (!ismatis) SETERRQ1(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Cannot use %s on a matrix object which is not of type MATIS",__FUNCT__); 2933 ierr = MatISGetLocalMat(mat,&local_mat);CHKERRQ(ierr); 2934 ierr = PetscObjectTypeCompare((PetscObject)local_mat,MATSEQDENSE,&isdense);CHKERRQ(ierr); 2935 if (!isdense) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Currently cannot subassemble MATIS when local matrix type is not of type SEQDENSE"); 2936 ierr = MatGetSize(local_mat,&rows,&cols);CHKERRQ(ierr); 2937 if (rows != cols) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Local MATIS matrices should be square"); 2938 if (reuse == MAT_REUSE_MATRIX && *mat_n) { 2939 PetscInt mrows,mcols,mnrows,mncols; 2940 ierr = PetscObjectTypeCompare((PetscObject)*mat_n,MATIS,&ismatis);CHKERRQ(ierr); 2941 if (!ismatis) SETERRQ(PetscObjectComm((PetscObject)*mat_n),PETSC_ERR_SUP,"Cannot reuse a matrix which is not of type MATIS"); 2942 ierr = MatGetSize(mat,&mrows,&mcols);CHKERRQ(ierr); 2943 ierr = MatGetSize(*mat_n,&mnrows,&mncols);CHKERRQ(ierr); 2944 if (mrows != mnrows) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Cannot reuse matrix! Wrong number of rows %D != %D",mrows,mnrows); 2945 if (mcols != mncols) SETERRQ2(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Cannot reuse matrix! Wrong number of cols %D != %D",mcols,mncols); 2946 } 2947 ierr = MatGetBlockSize(local_mat,&bs);CHKERRQ(ierr); 2948 PetscValidLogicalCollectiveInt(mat,bs,0); 2949 /* prepare IS for sending if not provided */ 2950 if (!is_sends) { 2951 PetscBool pcontig = PETSC_TRUE; 2952 if (!n_subdomains) SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"You should specify either an IS or a target number of subdomains"); 2953 ierr = MatISGetSubassemblingPattern(mat,n_subdomains,pcontig,&is_sends_internal);CHKERRQ(ierr); 2954 } else { 2955 ierr = PetscObjectReference((PetscObject)is_sends);CHKERRQ(ierr); 2956 is_sends_internal = is_sends; 2957 } 2958 2959 /* get pointer of MATIS data */ 2960 matis = (Mat_IS*)mat->data; 2961 2962 /* get comm */ 2963 ierr = PetscObjectGetComm((PetscObject)mat,&comm);CHKERRQ(ierr); 2964 2965 /* compute number of sends */ 2966 ierr = ISGetLocalSize(is_sends_internal,&i);CHKERRQ(ierr); 2967 ierr = PetscMPIIntCast(i,&n_sends);CHKERRQ(ierr); 2968 2969 /* compute number of receives */ 2970 ierr = MPI_Comm_size(comm,&commsize);CHKERRQ(ierr); 2971 ierr = PetscMalloc1(commsize,&iflags);CHKERRQ(ierr); 2972 ierr = PetscMemzero(iflags,commsize*sizeof(*iflags));CHKERRQ(ierr); 2973 ierr = ISGetIndices(is_sends_internal,&is_indices);CHKERRQ(ierr); 2974 for (i=0;i<n_sends;i++) iflags[is_indices[i]] = 1; 2975 ierr = PetscGatherNumberOfMessages(comm,iflags,NULL,&n_recvs);CHKERRQ(ierr); 2976 ierr = PetscFree(iflags);CHKERRQ(ierr); 2977 2978 /* restrict comm if requested */ 2979 subcomm = 0; 2980 destroy_mat = PETSC_FALSE; 2981 if (restrict_comm) { 2982 PetscMPIInt color,rank,subcommsize; 2983 ierr = MPI_Comm_rank(comm,&rank);CHKERRQ(ierr); 2984 color = 0; 2985 if (n_sends && !n_recvs) color = 1; /* sending only processes will not partecipate in new comm */ 2986 ierr = MPI_Allreduce(&color,&subcommsize,1,MPI_INT,MPI_SUM,comm);CHKERRQ(ierr); 2987 subcommsize = commsize - subcommsize; 2988 /* check if reuse has been requested */ 2989 if (reuse == MAT_REUSE_MATRIX) { 2990 if (*mat_n) { 2991 PetscMPIInt subcommsize2; 2992 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)*mat_n),&subcommsize2);CHKERRQ(ierr); 2993 if (subcommsize != subcommsize2) SETERRQ2(PetscObjectComm((PetscObject)*mat_n),PETSC_ERR_PLIB,"Cannot reuse matrix! wrong subcomm size %d != %d",subcommsize,subcommsize2); 2994 comm_n = PetscObjectComm((PetscObject)*mat_n); 2995 } else { 2996 comm_n = PETSC_COMM_SELF; 2997 } 2998 } else { /* MAT_INITIAL_MATRIX */ 2999 ierr = PetscSubcommCreate(comm,&subcomm);CHKERRQ(ierr); 3000 ierr = PetscSubcommSetNumber(subcomm,2);CHKERRQ(ierr); 3001 ierr = PetscSubcommSetTypeGeneral(subcomm,color,rank);CHKERRQ(ierr); 3002 comm_n = subcomm->comm; 3003 } 3004 /* flag to destroy *mat_n if not significative */ 3005 if (color) destroy_mat = PETSC_TRUE; 3006 } else { 3007 comm_n = comm; 3008 } 3009 3010 /* prepare send/receive buffers */ 3011 ierr = PetscMalloc1(commsize,&ilengths_idxs);CHKERRQ(ierr); 3012 ierr = PetscMemzero(ilengths_idxs,commsize*sizeof(*ilengths_idxs));CHKERRQ(ierr); 3013 ierr = PetscMalloc1(commsize,&ilengths_vals);CHKERRQ(ierr); 3014 ierr = PetscMemzero(ilengths_vals,commsize*sizeof(*ilengths_vals));CHKERRQ(ierr); 3015 if (nis) { 3016 ierr = PetscMalloc(commsize*sizeof(*ilengths_idxs_is),&ilengths_idxs_is);CHKERRQ(ierr); 3017 ierr = PetscMemzero(ilengths_idxs_is,commsize*sizeof(*ilengths_idxs_is));CHKERRQ(ierr); 3018 } 3019 3020 /* Get data from local matrices */ 3021 if (!isdense) { 3022 SETERRQ(PetscObjectComm((PetscObject)mat),PETSC_ERR_SUP,"Subassembling of AIJ local matrices not yet implemented"); 3023 /* TODO: See below some guidelines on how to prepare the local buffers */ 3024 /* 3025 send_buffer_vals should contain the raw values of the local matrix 3026 send_buffer_idxs should contain: 3027 - MatType_PRIVATE type 3028 - PetscInt size_of_l2gmap 3029 - PetscInt global_row_indices[size_of_l2gmap] 3030 - PetscInt all_other_info_which_is_needed_to_compute_preallocation_and_set_values 3031 */ 3032 } else { 3033 ierr = MatDenseGetArray(local_mat,&send_buffer_vals);CHKERRQ(ierr); 3034 ierr = ISLocalToGlobalMappingGetSize(matis->mapping,&i);CHKERRQ(ierr); 3035 ierr = PetscMalloc1((i+2),&send_buffer_idxs);CHKERRQ(ierr); 3036 send_buffer_idxs[0] = (PetscInt)MATDENSE_PRIVATE; 3037 send_buffer_idxs[1] = i; 3038 ierr = ISLocalToGlobalMappingGetIndices(matis->mapping,(const PetscInt**)&ptr_idxs);CHKERRQ(ierr); 3039 ierr = PetscMemcpy(&send_buffer_idxs[2],ptr_idxs,i*sizeof(PetscInt));CHKERRQ(ierr); 3040 ierr = ISLocalToGlobalMappingRestoreIndices(matis->mapping,(const PetscInt**)&ptr_idxs);CHKERRQ(ierr); 3041 ierr = PetscMPIIntCast(i,&len);CHKERRQ(ierr); 3042 for (i=0;i<n_sends;i++) { 3043 ilengths_vals[is_indices[i]] = len*len; 3044 ilengths_idxs[is_indices[i]] = len+2; 3045 } 3046 } 3047 ierr = PetscGatherMessageLengths2(comm,n_sends,n_recvs,ilengths_idxs,ilengths_vals,&onodes,&olengths_idxs,&olengths_vals);CHKERRQ(ierr); 3048 /* additional is (if any) */ 3049 if (nis) { 3050 PetscMPIInt psum; 3051 PetscInt j; 3052 for (j=0,psum=0;j<nis;j++) { 3053 PetscInt plen; 3054 ierr = ISGetLocalSize(isarray[j],&plen);CHKERRQ(ierr); 3055 ierr = PetscMPIIntCast(plen,&len);CHKERRQ(ierr); 3056 psum += len+1; /* indices + lenght */ 3057 } 3058 ierr = PetscMalloc(psum*sizeof(PetscInt),&send_buffer_idxs_is);CHKERRQ(ierr); 3059 for (j=0,psum=0;j<nis;j++) { 3060 PetscInt plen; 3061 const PetscInt *is_array_idxs; 3062 ierr = ISGetLocalSize(isarray[j],&plen);CHKERRQ(ierr); 3063 send_buffer_idxs_is[psum] = plen; 3064 ierr = ISGetIndices(isarray[j],&is_array_idxs);CHKERRQ(ierr); 3065 ierr = PetscMemcpy(&send_buffer_idxs_is[psum+1],is_array_idxs,plen*sizeof(PetscInt));CHKERRQ(ierr); 3066 ierr = ISRestoreIndices(isarray[j],&is_array_idxs);CHKERRQ(ierr); 3067 psum += plen+1; /* indices + lenght */ 3068 } 3069 for (i=0;i<n_sends;i++) { 3070 ilengths_idxs_is[is_indices[i]] = psum; 3071 } 3072 ierr = PetscGatherMessageLengths(comm,n_sends,n_recvs,ilengths_idxs_is,&onodes_is,&olengths_idxs_is);CHKERRQ(ierr); 3073 } 3074 3075 buf_size_idxs = 0; 3076 buf_size_vals = 0; 3077 buf_size_idxs_is = 0; 3078 for (i=0;i<n_recvs;i++) { 3079 buf_size_idxs += (PetscInt)olengths_idxs[i]; 3080 buf_size_vals += (PetscInt)olengths_vals[i]; 3081 if (nis) buf_size_idxs_is += (PetscInt)olengths_idxs_is[i]; 3082 } 3083 ierr = PetscMalloc1(buf_size_idxs,&recv_buffer_idxs);CHKERRQ(ierr); 3084 ierr = PetscMalloc1(buf_size_vals,&recv_buffer_vals);CHKERRQ(ierr); 3085 ierr = PetscMalloc1(buf_size_idxs_is,&recv_buffer_idxs_is);CHKERRQ(ierr); 3086 3087 /* get new tags for clean communications */ 3088 ierr = PetscObjectGetNewTag((PetscObject)mat,&tag_idxs);CHKERRQ(ierr); 3089 ierr = PetscObjectGetNewTag((PetscObject)mat,&tag_vals);CHKERRQ(ierr); 3090 ierr = PetscObjectGetNewTag((PetscObject)mat,&tag_idxs_is);CHKERRQ(ierr); 3091 3092 /* allocate for requests */ 3093 ierr = PetscMalloc1(n_sends,&send_req_idxs);CHKERRQ(ierr); 3094 ierr = PetscMalloc1(n_sends,&send_req_vals);CHKERRQ(ierr); 3095 ierr = PetscMalloc1(n_sends,&send_req_idxs_is);CHKERRQ(ierr); 3096 ierr = PetscMalloc1(n_recvs,&recv_req_idxs);CHKERRQ(ierr); 3097 ierr = PetscMalloc1(n_recvs,&recv_req_vals);CHKERRQ(ierr); 3098 ierr = PetscMalloc1(n_recvs,&recv_req_idxs_is);CHKERRQ(ierr); 3099 3100 /* communications */ 3101 ptr_idxs = recv_buffer_idxs; 3102 ptr_vals = recv_buffer_vals; 3103 ptr_idxs_is = recv_buffer_idxs_is; 3104 for (i=0;i<n_recvs;i++) { 3105 source_dest = onodes[i]; 3106 ierr = MPI_Irecv(ptr_idxs,olengths_idxs[i],MPIU_INT,source_dest,tag_idxs,comm,&recv_req_idxs[i]);CHKERRQ(ierr); 3107 ierr = MPI_Irecv(ptr_vals,olengths_vals[i],MPIU_SCALAR,source_dest,tag_vals,comm,&recv_req_vals[i]);CHKERRQ(ierr); 3108 ptr_idxs += olengths_idxs[i]; 3109 ptr_vals += olengths_vals[i]; 3110 if (nis) { 3111 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); 3112 ptr_idxs_is += olengths_idxs_is[i]; 3113 } 3114 } 3115 for (i=0;i<n_sends;i++) { 3116 ierr = PetscMPIIntCast(is_indices[i],&source_dest);CHKERRQ(ierr); 3117 ierr = MPI_Isend(send_buffer_idxs,ilengths_idxs[source_dest],MPIU_INT,source_dest,tag_idxs,comm,&send_req_idxs[i]);CHKERRQ(ierr); 3118 ierr = MPI_Isend(send_buffer_vals,ilengths_vals[source_dest],MPIU_SCALAR,source_dest,tag_vals,comm,&send_req_vals[i]);CHKERRQ(ierr); 3119 if (nis) { 3120 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); 3121 } 3122 } 3123 ierr = ISRestoreIndices(is_sends_internal,&is_indices);CHKERRQ(ierr); 3124 ierr = ISDestroy(&is_sends_internal);CHKERRQ(ierr); 3125 3126 /* assemble new l2g map */ 3127 ierr = MPI_Waitall(n_recvs,recv_req_idxs,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3128 ptr_idxs = recv_buffer_idxs; 3129 new_local_rows = 0; 3130 for (i=0;i<n_recvs;i++) { 3131 new_local_rows += *(ptr_idxs+1); /* second element is the local size of the l2gmap */ 3132 ptr_idxs += olengths_idxs[i]; 3133 } 3134 ierr = PetscMalloc1(new_local_rows,&l2gmap_indices);CHKERRQ(ierr); 3135 ptr_idxs = recv_buffer_idxs; 3136 new_local_rows = 0; 3137 for (i=0;i<n_recvs;i++) { 3138 ierr = PetscMemcpy(&l2gmap_indices[new_local_rows],ptr_idxs+2,(*(ptr_idxs+1))*sizeof(PetscInt));CHKERRQ(ierr); 3139 new_local_rows += *(ptr_idxs+1); /* second element is the local size of the l2gmap */ 3140 ptr_idxs += olengths_idxs[i]; 3141 } 3142 ierr = PetscSortRemoveDupsInt(&new_local_rows,l2gmap_indices);CHKERRQ(ierr); 3143 ierr = ISLocalToGlobalMappingCreate(comm_n,1,new_local_rows,l2gmap_indices,PETSC_COPY_VALUES,&l2gmap);CHKERRQ(ierr); 3144 ierr = PetscFree(l2gmap_indices);CHKERRQ(ierr); 3145 3146 /* infer new local matrix type from received local matrices type */ 3147 /* currently if all local matrices are of type X, then the resulting matrix will be of type X, except for the dense case */ 3148 /* 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) */ 3149 if (n_recvs) { 3150 MatTypePrivate new_local_type_private = (MatTypePrivate)send_buffer_idxs[0]; 3151 ptr_idxs = recv_buffer_idxs; 3152 for (i=0;i<n_recvs;i++) { 3153 if ((PetscInt)new_local_type_private != *ptr_idxs) { 3154 new_local_type_private = MATAIJ_PRIVATE; 3155 break; 3156 } 3157 ptr_idxs += olengths_idxs[i]; 3158 } 3159 switch (new_local_type_private) { 3160 case MATDENSE_PRIVATE: 3161 if (n_recvs>1) { /* subassembling of dense matrices does not give a dense matrix! */ 3162 new_local_type = MATSEQAIJ; 3163 bs = 1; 3164 } else { /* if I receive only 1 dense matrix */ 3165 new_local_type = MATSEQDENSE; 3166 bs = 1; 3167 } 3168 break; 3169 case MATAIJ_PRIVATE: 3170 new_local_type = MATSEQAIJ; 3171 bs = 1; 3172 break; 3173 case MATBAIJ_PRIVATE: 3174 new_local_type = MATSEQBAIJ; 3175 break; 3176 case MATSBAIJ_PRIVATE: 3177 new_local_type = MATSEQSBAIJ; 3178 break; 3179 default: 3180 SETERRQ2(comm,PETSC_ERR_SUP,"Unsupported private type %d in %s",new_local_type_private,__FUNCT__); 3181 break; 3182 } 3183 } else { /* by default, new_local_type is seqdense */ 3184 new_local_type = MATSEQDENSE; 3185 bs = 1; 3186 } 3187 3188 /* create MATIS object if needed */ 3189 if (reuse == MAT_INITIAL_MATRIX) { 3190 ierr = MatGetSize(mat,&rows,&cols);CHKERRQ(ierr); 3191 ierr = MatCreateIS(comm_n,bs,PETSC_DECIDE,PETSC_DECIDE,rows,cols,l2gmap,mat_n);CHKERRQ(ierr); 3192 } else { 3193 /* it also destroys the local matrices */ 3194 ierr = MatSetLocalToGlobalMapping(*mat_n,l2gmap,l2gmap);CHKERRQ(ierr); 3195 } 3196 ierr = MatISGetLocalMat(*mat_n,&local_mat);CHKERRQ(ierr); 3197 ierr = MatSetType(local_mat,new_local_type);CHKERRQ(ierr); 3198 3199 ierr = MPI_Waitall(n_recvs,recv_req_vals,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3200 3201 /* Global to local map of received indices */ 3202 ierr = PetscMalloc1(buf_size_idxs,&recv_buffer_idxs_local);CHKERRQ(ierr); /* needed for values insertion */ 3203 ierr = ISGlobalToLocalMappingApply(l2gmap,IS_GTOLM_MASK,buf_size_idxs,recv_buffer_idxs,&i,recv_buffer_idxs_local);CHKERRQ(ierr); 3204 ierr = ISLocalToGlobalMappingDestroy(&l2gmap);CHKERRQ(ierr); 3205 3206 /* restore attributes -> type of incoming data and its size */ 3207 buf_size_idxs = 0; 3208 for (i=0;i<n_recvs;i++) { 3209 recv_buffer_idxs_local[buf_size_idxs] = recv_buffer_idxs[buf_size_idxs]; 3210 recv_buffer_idxs_local[buf_size_idxs+1] = recv_buffer_idxs[buf_size_idxs+1]; 3211 buf_size_idxs += (PetscInt)olengths_idxs[i]; 3212 } 3213 ierr = PetscFree(recv_buffer_idxs);CHKERRQ(ierr); 3214 3215 /* set preallocation */ 3216 ierr = PetscObjectTypeCompare((PetscObject)local_mat,MATSEQDENSE,&newisdense);CHKERRQ(ierr); 3217 if (!newisdense) { 3218 PetscInt *new_local_nnz=0; 3219 3220 ptr_vals = recv_buffer_vals; 3221 ptr_idxs = recv_buffer_idxs_local; 3222 if (n_recvs) { 3223 ierr = PetscCalloc1(new_local_rows,&new_local_nnz);CHKERRQ(ierr); 3224 } 3225 for (i=0;i<n_recvs;i++) { 3226 PetscInt j; 3227 if (*ptr_idxs == (PetscInt)MATDENSE_PRIVATE) { /* preallocation provided for dense case only */ 3228 for (j=0;j<*(ptr_idxs+1);j++) { 3229 new_local_nnz[*(ptr_idxs+2+j)] += *(ptr_idxs+1); 3230 } 3231 } else { 3232 /* TODO */ 3233 } 3234 ptr_idxs += olengths_idxs[i]; 3235 } 3236 if (new_local_nnz) { 3237 for (i=0;i<new_local_rows;i++) new_local_nnz[i] = PetscMin(new_local_nnz[i],new_local_rows); 3238 ierr = MatSeqAIJSetPreallocation(local_mat,0,new_local_nnz);CHKERRQ(ierr); 3239 for (i=0;i<new_local_rows;i++) new_local_nnz[i] /= bs; 3240 ierr = MatSeqBAIJSetPreallocation(local_mat,bs,0,new_local_nnz);CHKERRQ(ierr); 3241 for (i=0;i<new_local_rows;i++) new_local_nnz[i] = PetscMax(new_local_nnz[i]-i,0); 3242 ierr = MatSeqSBAIJSetPreallocation(local_mat,bs,0,new_local_nnz);CHKERRQ(ierr); 3243 } else { 3244 ierr = MatSetUp(local_mat);CHKERRQ(ierr); 3245 } 3246 ierr = PetscFree(new_local_nnz);CHKERRQ(ierr); 3247 } else { 3248 ierr = MatSetUp(local_mat);CHKERRQ(ierr); 3249 } 3250 3251 /* set values */ 3252 ptr_vals = recv_buffer_vals; 3253 ptr_idxs = recv_buffer_idxs_local; 3254 for (i=0;i<n_recvs;i++) { 3255 if (*ptr_idxs == (PetscInt)MATDENSE_PRIVATE) { /* values insertion provided for dense case only */ 3256 ierr = MatSetOption(local_mat,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr); 3257 ierr = MatSetValues(local_mat,*(ptr_idxs+1),ptr_idxs+2,*(ptr_idxs+1),ptr_idxs+2,ptr_vals,ADD_VALUES);CHKERRQ(ierr); 3258 ierr = MatAssemblyBegin(local_mat,MAT_FLUSH_ASSEMBLY);CHKERRQ(ierr); 3259 ierr = MatAssemblyEnd(local_mat,MAT_FLUSH_ASSEMBLY);CHKERRQ(ierr); 3260 ierr = MatSetOption(local_mat,MAT_ROW_ORIENTED,PETSC_TRUE);CHKERRQ(ierr); 3261 } else { 3262 /* TODO */ 3263 } 3264 ptr_idxs += olengths_idxs[i]; 3265 ptr_vals += olengths_vals[i]; 3266 } 3267 ierr = MatAssemblyBegin(local_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3268 ierr = MatAssemblyEnd(local_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3269 ierr = MatAssemblyBegin(*mat_n,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3270 ierr = MatAssemblyEnd(*mat_n,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3271 ierr = PetscFree(recv_buffer_vals);CHKERRQ(ierr); 3272 ierr = PetscFree(recv_buffer_idxs_local);CHKERRQ(ierr); 3273 3274 #if 0 3275 if (!restrict_comm) { /* check */ 3276 Vec lvec,rvec; 3277 PetscReal infty_error; 3278 3279 ierr = MatCreateVecs(mat,&rvec,&lvec);CHKERRQ(ierr); 3280 ierr = VecSetRandom(rvec,NULL);CHKERRQ(ierr); 3281 ierr = MatMult(mat,rvec,lvec);CHKERRQ(ierr); 3282 ierr = VecScale(lvec,-1.0);CHKERRQ(ierr); 3283 ierr = MatMultAdd(*mat_n,rvec,lvec,lvec);CHKERRQ(ierr); 3284 ierr = VecNorm(lvec,NORM_INFINITY,&infty_error);CHKERRQ(ierr); 3285 ierr = PetscPrintf(PetscObjectComm((PetscObject)mat),"Infinity error subassembling %1.6e\n",infty_error); 3286 ierr = VecDestroy(&rvec);CHKERRQ(ierr); 3287 ierr = VecDestroy(&lvec);CHKERRQ(ierr); 3288 } 3289 #endif 3290 3291 /* assemble new additional is (if any) */ 3292 if (nis) { 3293 PetscInt **temp_idxs,*count_is,j,psum; 3294 3295 ierr = MPI_Waitall(n_recvs,recv_req_idxs_is,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3296 ierr = PetscMalloc(nis*sizeof(PetscInt),&count_is);CHKERRQ(ierr); 3297 ierr = PetscMemzero(count_is,nis*sizeof(PetscInt));CHKERRQ(ierr); 3298 ptr_idxs = recv_buffer_idxs_is; 3299 psum = 0; 3300 for (i=0;i<n_recvs;i++) { 3301 for (j=0;j<nis;j++) { 3302 PetscInt plen = *(ptr_idxs); /* first element is the local size of IS's indices */ 3303 count_is[j] += plen; /* increment counting of buffer for j-th IS */ 3304 psum += plen; 3305 ptr_idxs += plen+1; /* shift pointer to received data */ 3306 } 3307 } 3308 ierr = PetscMalloc(nis*sizeof(PetscInt*),&temp_idxs);CHKERRQ(ierr); 3309 ierr = PetscMalloc(psum*sizeof(PetscInt),&temp_idxs[0]);CHKERRQ(ierr); 3310 for (i=1;i<nis;i++) { 3311 temp_idxs[i] = temp_idxs[i-1]+count_is[i-1]; 3312 } 3313 ierr = PetscMemzero(count_is,nis*sizeof(PetscInt));CHKERRQ(ierr); 3314 ptr_idxs = recv_buffer_idxs_is; 3315 for (i=0;i<n_recvs;i++) { 3316 for (j=0;j<nis;j++) { 3317 PetscInt plen = *(ptr_idxs); /* first element is the local size of IS's indices */ 3318 ierr = PetscMemcpy(&temp_idxs[j][count_is[j]],ptr_idxs+1,plen*sizeof(PetscInt));CHKERRQ(ierr); 3319 count_is[j] += plen; /* increment starting point of buffer for j-th IS */ 3320 ptr_idxs += plen+1; /* shift pointer to received data */ 3321 } 3322 } 3323 for (i=0;i<nis;i++) { 3324 ierr = ISDestroy(&isarray[i]);CHKERRQ(ierr); 3325 ierr = PetscSortRemoveDupsInt(&count_is[i],temp_idxs[i]);CHKERRQ(ierr);CHKERRQ(ierr); 3326 ierr = ISCreateGeneral(comm_n,count_is[i],temp_idxs[i],PETSC_COPY_VALUES,&isarray[i]);CHKERRQ(ierr); 3327 } 3328 ierr = PetscFree(count_is);CHKERRQ(ierr); 3329 ierr = PetscFree(temp_idxs[0]);CHKERRQ(ierr); 3330 ierr = PetscFree(temp_idxs);CHKERRQ(ierr); 3331 } 3332 /* free workspace */ 3333 ierr = PetscFree(recv_buffer_idxs_is);CHKERRQ(ierr); 3334 ierr = MPI_Waitall(n_sends,send_req_idxs,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3335 ierr = PetscFree(send_buffer_idxs);CHKERRQ(ierr); 3336 ierr = MPI_Waitall(n_sends,send_req_vals,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3337 if (isdense) { 3338 ierr = MatISGetLocalMat(mat,&local_mat);CHKERRQ(ierr); 3339 ierr = MatDenseRestoreArray(local_mat,&send_buffer_vals);CHKERRQ(ierr); 3340 } else { 3341 /* ierr = PetscFree(send_buffer_vals);CHKERRQ(ierr); */ 3342 } 3343 if (nis) { 3344 ierr = MPI_Waitall(n_sends,send_req_idxs_is,MPI_STATUSES_IGNORE);CHKERRQ(ierr); 3345 ierr = PetscFree(send_buffer_idxs_is);CHKERRQ(ierr); 3346 } 3347 ierr = PetscFree(recv_req_idxs);CHKERRQ(ierr); 3348 ierr = PetscFree(recv_req_vals);CHKERRQ(ierr); 3349 ierr = PetscFree(recv_req_idxs_is);CHKERRQ(ierr); 3350 ierr = PetscFree(send_req_idxs);CHKERRQ(ierr); 3351 ierr = PetscFree(send_req_vals);CHKERRQ(ierr); 3352 ierr = PetscFree(send_req_idxs_is);CHKERRQ(ierr); 3353 ierr = PetscFree(ilengths_vals);CHKERRQ(ierr); 3354 ierr = PetscFree(ilengths_idxs);CHKERRQ(ierr); 3355 ierr = PetscFree(olengths_vals);CHKERRQ(ierr); 3356 ierr = PetscFree(olengths_idxs);CHKERRQ(ierr); 3357 ierr = PetscFree(onodes);CHKERRQ(ierr); 3358 if (nis) { 3359 ierr = PetscFree(ilengths_idxs_is);CHKERRQ(ierr); 3360 ierr = PetscFree(olengths_idxs_is);CHKERRQ(ierr); 3361 ierr = PetscFree(onodes_is);CHKERRQ(ierr); 3362 } 3363 ierr = PetscSubcommDestroy(&subcomm);CHKERRQ(ierr); 3364 if (destroy_mat) { /* destroy mat is true only if restrict comm is true and process will not partecipate */ 3365 ierr = MatDestroy(mat_n);CHKERRQ(ierr); 3366 for (i=0;i<nis;i++) { 3367 ierr = ISDestroy(&isarray[i]);CHKERRQ(ierr); 3368 } 3369 } 3370 PetscFunctionReturn(0); 3371 } 3372 3373 /* temporary hack into ksp private data structure */ 3374 #include <petsc-private/kspimpl.h> 3375 3376 #undef __FUNCT__ 3377 #define __FUNCT__ "PCBDDCSetUpCoarseSolver" 3378 PetscErrorCode PCBDDCSetUpCoarseSolver(PC pc,PetscScalar* coarse_submat_vals) 3379 { 3380 PC_BDDC *pcbddc = (PC_BDDC*)pc->data; 3381 PC_IS *pcis = (PC_IS*)pc->data; 3382 Mat coarse_mat,coarse_mat_is,coarse_submat_dense; 3383 MatNullSpace CoarseNullSpace=NULL; 3384 ISLocalToGlobalMapping coarse_islg; 3385 IS coarse_is,*isarray; 3386 PetscInt i,im_active=-1,active_procs=-1; 3387 PetscInt nis,nisdofs,nisneu; 3388 PC pc_temp; 3389 PCType coarse_pc_type; 3390 KSPType coarse_ksp_type; 3391 PetscBool multilevel_requested,multilevel_allowed; 3392 PetscBool isredundant,isbddc,isnn,coarse_reuse; 3393 Mat t_coarse_mat_is; 3394 PetscInt void_procs,ncoarse_ml,ncoarse_ds,ncoarse; 3395 PetscMPIInt all_procs; 3396 PetscBool csin_ml,csin_ds,csin,csin_type_simple; 3397 PetscBool compute_vecs = PETSC_FALSE; 3398 PetscErrorCode ierr; 3399 3400 PetscFunctionBegin; 3401 /* Assign global numbering to coarse dofs */ 3402 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 */ 3403 compute_vecs = PETSC_TRUE; 3404 PetscInt ocoarse_size; 3405 ocoarse_size = pcbddc->coarse_size; 3406 ierr = PetscFree(pcbddc->global_primal_indices);CHKERRQ(ierr); 3407 ierr = PCBDDCComputePrimalNumbering(pc,&pcbddc->coarse_size,&pcbddc->global_primal_indices);CHKERRQ(ierr); 3408 /* see if we can avoid some work */ 3409 if (pcbddc->coarse_ksp) { /* coarse ksp has already been created */ 3410 if (ocoarse_size != pcbddc->coarse_size) { /* ...but with different size, so reset it and set reuse flag to false */ 3411 ierr = KSPReset(pcbddc->coarse_ksp);CHKERRQ(ierr); 3412 coarse_reuse = PETSC_FALSE; 3413 } else { /* we can safely reuse already computed coarse matrix */ 3414 coarse_reuse = PETSC_TRUE; 3415 } 3416 } else { /* there's no coarse ksp, so we need to create the coarse matrix too */ 3417 coarse_reuse = PETSC_FALSE; 3418 } 3419 /* reset any subassembling information */ 3420 ierr = ISDestroy(&pcbddc->coarse_subassembling);CHKERRQ(ierr); 3421 ierr = ISDestroy(&pcbddc->coarse_subassembling_init);CHKERRQ(ierr); 3422 } else { /* primal space is unchanged, so we can reuse coarse matrix */ 3423 coarse_reuse = PETSC_TRUE; 3424 } 3425 3426 /* count "active" (i.e. with positive local size) and "void" processes */ 3427 im_active = !!(pcis->n); 3428 ierr = MPI_Allreduce(&im_active,&active_procs,1,MPIU_INT,MPI_SUM,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 3429 ierr = MPI_Comm_size(PetscObjectComm((PetscObject)pc),&all_procs);CHKERRQ(ierr); 3430 void_procs = all_procs-active_procs; 3431 csin_type_simple = PETSC_TRUE; 3432 if (pcbddc->current_level) { 3433 csin_ml = PETSC_TRUE; 3434 ncoarse_ml = void_procs; 3435 csin_ds = PETSC_TRUE; 3436 ncoarse_ds = void_procs; 3437 if (!void_procs) SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"This should not happen"); 3438 } else { 3439 csin_ml = PETSC_FALSE; 3440 ncoarse_ml = all_procs; 3441 if (void_procs) { 3442 csin_ds = PETSC_TRUE; 3443 ncoarse_ds = void_procs; 3444 csin_type_simple = PETSC_FALSE; 3445 } else { 3446 csin_ds = PETSC_FALSE; 3447 ncoarse_ds = all_procs; 3448 } 3449 } 3450 3451 /* 3452 test if we can go multilevel: three conditions must be satisfied: 3453 - we have not exceeded the number of levels requested 3454 - we can actually subassemble the active processes 3455 - we can find a suitable number of MPI processes where we can place the subassembled problem 3456 */ 3457 multilevel_allowed = PETSC_FALSE; 3458 multilevel_requested = PETSC_FALSE; 3459 if (pcbddc->current_level < pcbddc->max_levels) { 3460 multilevel_requested = PETSC_TRUE; 3461 if (active_procs/pcbddc->coarsening_ratio < 2 || ncoarse_ml/pcbddc->coarsening_ratio < 2) { 3462 multilevel_allowed = PETSC_FALSE; 3463 } else { 3464 multilevel_allowed = PETSC_TRUE; 3465 } 3466 } 3467 /* determine number of process partecipating to coarse solver */ 3468 if (multilevel_allowed) { 3469 ncoarse = ncoarse_ml; 3470 csin = csin_ml; 3471 } else { 3472 ncoarse = ncoarse_ds; 3473 csin = csin_ds; 3474 } 3475 3476 /* creates temporary l2gmap and IS for coarse indexes */ 3477 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)pc),pcbddc->local_primal_size,pcbddc->global_primal_indices,PETSC_COPY_VALUES,&coarse_is);CHKERRQ(ierr); 3478 ierr = ISLocalToGlobalMappingCreateIS(coarse_is,&coarse_islg);CHKERRQ(ierr); 3479 3480 /* creates temporary MATIS object for coarse matrix */ 3481 ierr = MatCreateSeqDense(PETSC_COMM_SELF,pcbddc->local_primal_size,pcbddc->local_primal_size,coarse_submat_vals,&coarse_submat_dense);CHKERRQ(ierr); 3482 #if 0 3483 { 3484 PetscViewer viewer; 3485 char filename[256]; 3486 sprintf(filename,"local_coarse_mat%d.m",PetscGlobalRank); 3487 ierr = PetscViewerASCIIOpen(PETSC_COMM_SELF,filename,&viewer);CHKERRQ(ierr); 3488 ierr = PetscViewerSetFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 3489 ierr = MatView(coarse_submat_dense,viewer);CHKERRQ(ierr); 3490 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 3491 } 3492 #endif 3493 ierr = MatCreateIS(PetscObjectComm((PetscObject)pc),1,PETSC_DECIDE,PETSC_DECIDE,pcbddc->coarse_size,pcbddc->coarse_size,coarse_islg,&t_coarse_mat_is);CHKERRQ(ierr); 3494 ierr = MatISSetLocalMat(t_coarse_mat_is,coarse_submat_dense);CHKERRQ(ierr); 3495 ierr = MatAssemblyBegin(t_coarse_mat_is,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3496 ierr = MatAssemblyEnd(t_coarse_mat_is,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr); 3497 ierr = MatDestroy(&coarse_submat_dense);CHKERRQ(ierr); 3498 3499 /* compute dofs splitting and neumann boundaries for coarse dofs */ 3500 if (multilevel_allowed && (pcbddc->n_ISForDofsLocal || pcbddc->NeumannBoundariesLocal) ) { /* protects from unneded computations */ 3501 PetscInt *tidxs,*tidxs2,nout,tsize,i; 3502 const PetscInt *idxs; 3503 ISLocalToGlobalMapping tmap; 3504 3505 /* create map between primal indices (in local representative ordering) and local primal numbering */ 3506 ierr = ISLocalToGlobalMappingCreate(PETSC_COMM_SELF,1,pcbddc->local_primal_size,pcbddc->primal_indices_local_idxs,PETSC_COPY_VALUES,&tmap);CHKERRQ(ierr); 3507 /* allocate space for temporary storage */ 3508 ierr = PetscMalloc(pcbddc->local_primal_size*sizeof(PetscInt),&tidxs);CHKERRQ(ierr); 3509 ierr = PetscMalloc(pcbddc->local_primal_size*sizeof(PetscInt),&tidxs2);CHKERRQ(ierr); 3510 /* allocate for IS array */ 3511 nisdofs = pcbddc->n_ISForDofsLocal; 3512 nisneu = !!pcbddc->NeumannBoundariesLocal; 3513 nis = nisdofs + nisneu; 3514 ierr = PetscMalloc(nis*sizeof(IS),&isarray);CHKERRQ(ierr); 3515 /* dofs splitting */ 3516 for (i=0;i<nisdofs;i++) { 3517 /* ierr = ISView(pcbddc->ISForDofsLocal[i],0);CHKERRQ(ierr); */ 3518 ierr = ISGetLocalSize(pcbddc->ISForDofsLocal[i],&tsize);CHKERRQ(ierr); 3519 ierr = ISGetIndices(pcbddc->ISForDofsLocal[i],&idxs);CHKERRQ(ierr); 3520 ierr = ISGlobalToLocalMappingApply(tmap,IS_GTOLM_DROP,tsize,idxs,&nout,tidxs);CHKERRQ(ierr); 3521 ierr = ISRestoreIndices(pcbddc->ISForDofsLocal[i],&idxs);CHKERRQ(ierr); 3522 ierr = ISLocalToGlobalMappingApply(coarse_islg,nout,tidxs,tidxs2);CHKERRQ(ierr); 3523 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)pcbddc->ISForDofsLocal[i]),nout,tidxs2,PETSC_COPY_VALUES,&isarray[i]);CHKERRQ(ierr); 3524 /* ierr = ISView(isarray[i],0);CHKERRQ(ierr); */ 3525 } 3526 /* neumann boundaries */ 3527 if (pcbddc->NeumannBoundariesLocal) { 3528 /* ierr = ISView(pcbddc->NeumannBoundariesLocal,0);CHKERRQ(ierr); */ 3529 ierr = ISGetLocalSize(pcbddc->NeumannBoundariesLocal,&tsize);CHKERRQ(ierr); 3530 ierr = ISGetIndices(pcbddc->NeumannBoundariesLocal,&idxs);CHKERRQ(ierr); 3531 ierr = ISGlobalToLocalMappingApply(tmap,IS_GTOLM_DROP,tsize,idxs,&nout,tidxs);CHKERRQ(ierr); 3532 ierr = ISRestoreIndices(pcbddc->NeumannBoundariesLocal,&idxs);CHKERRQ(ierr); 3533 ierr = ISLocalToGlobalMappingApply(coarse_islg,nout,tidxs,tidxs2);CHKERRQ(ierr); 3534 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)pcbddc->NeumannBoundariesLocal),nout,tidxs2,PETSC_COPY_VALUES,&isarray[nisdofs]);CHKERRQ(ierr); 3535 /* ierr = ISView(isarray[nisdofs],0);CHKERRQ(ierr); */ 3536 } 3537 /* free memory */ 3538 ierr = PetscFree(tidxs);CHKERRQ(ierr); 3539 ierr = PetscFree(tidxs2);CHKERRQ(ierr); 3540 ierr = ISLocalToGlobalMappingDestroy(&tmap);CHKERRQ(ierr); 3541 } else { 3542 nis = 0; 3543 nisdofs = 0; 3544 nisneu = 0; 3545 isarray = NULL; 3546 } 3547 /* destroy no longer needed map */ 3548 ierr = ISLocalToGlobalMappingDestroy(&coarse_islg);CHKERRQ(ierr); 3549 3550 /* restrict on coarse candidates (if needed) */ 3551 coarse_mat_is = NULL; 3552 if (csin) { 3553 if (!pcbddc->coarse_subassembling_init ) { /* creates subassembling init pattern if not present */ 3554 PetscInt j,tissize,*nisindices; 3555 PetscInt *coarse_candidates; 3556 const PetscInt* tisindices; 3557 /* get coarse candidates' ranks in pc communicator */ 3558 ierr = PetscMalloc(all_procs*sizeof(PetscInt),&coarse_candidates);CHKERRQ(ierr); 3559 ierr = MPI_Allgather(&im_active,1,MPIU_INT,coarse_candidates,1,MPIU_INT,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 3560 for (i=0,j=0;i<all_procs;i++) { 3561 if (!coarse_candidates[i]) { 3562 coarse_candidates[j]=i; 3563 j++; 3564 } 3565 } 3566 if (j < ncoarse) SETERRQ2(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"This should not happen! %d < %d",j,ncoarse); 3567 /* get a suitable subassembling pattern */ 3568 if (csin_type_simple) { 3569 PetscMPIInt rank; 3570 PetscInt issize,isidx; 3571 ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)pc),&rank);CHKERRQ(ierr); 3572 if (im_active) { 3573 issize = 1; 3574 isidx = (PetscInt)rank; 3575 } else { 3576 issize = 0; 3577 isidx = -1; 3578 } 3579 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)pc),issize,&isidx,PETSC_COPY_VALUES,&pcbddc->coarse_subassembling_init);CHKERRQ(ierr); 3580 } else { 3581 ierr = MatISGetSubassemblingPattern(t_coarse_mat_is,ncoarse,PETSC_TRUE,&pcbddc->coarse_subassembling_init);CHKERRQ(ierr); 3582 } 3583 if (pcbddc->dbg_flag) { 3584 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3585 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Subassembling pattern init (before shift)\n");CHKERRQ(ierr); 3586 ierr = ISView(pcbddc->coarse_subassembling_init,pcbddc->dbg_viewer);CHKERRQ(ierr); 3587 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Coarse candidates\n");CHKERRQ(ierr); 3588 for (i=0;i<j;i++) { 3589 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"%d ",coarse_candidates[i]);CHKERRQ(ierr); 3590 } 3591 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"\n");CHKERRQ(ierr); 3592 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3593 } 3594 /* shift the pattern on coarse candidates */ 3595 ierr = ISGetLocalSize(pcbddc->coarse_subassembling_init,&tissize);CHKERRQ(ierr); 3596 ierr = ISGetIndices(pcbddc->coarse_subassembling_init,&tisindices);CHKERRQ(ierr); 3597 ierr = PetscMalloc(tissize*sizeof(PetscInt),&nisindices);CHKERRQ(ierr); 3598 for (i=0;i<tissize;i++) nisindices[i] = coarse_candidates[tisindices[i]]; 3599 ierr = ISRestoreIndices(pcbddc->coarse_subassembling_init,&tisindices);CHKERRQ(ierr); 3600 ierr = ISGeneralSetIndices(pcbddc->coarse_subassembling_init,tissize,nisindices,PETSC_OWN_POINTER);CHKERRQ(ierr); 3601 ierr = PetscFree(coarse_candidates);CHKERRQ(ierr); 3602 } 3603 if (pcbddc->dbg_flag) { 3604 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3605 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Subassembling pattern init\n");CHKERRQ(ierr); 3606 ierr = ISView(pcbddc->coarse_subassembling_init,pcbddc->dbg_viewer);CHKERRQ(ierr); 3607 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3608 } 3609 /* get temporary coarse mat in IS format restricted on coarse procs (plus additional index sets of isarray) */ 3610 ierr = MatISSubassemble(t_coarse_mat_is,pcbddc->coarse_subassembling_init,0,PETSC_TRUE,MAT_INITIAL_MATRIX,&coarse_mat_is,nis,isarray);CHKERRQ(ierr); 3611 } else { 3612 if (pcbddc->dbg_flag) { 3613 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3614 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Subassembling pattern init not needed\n");CHKERRQ(ierr); 3615 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3616 } 3617 ierr = PetscObjectReference((PetscObject)t_coarse_mat_is);CHKERRQ(ierr); 3618 coarse_mat_is = t_coarse_mat_is; 3619 } 3620 3621 /* create local to global scatters for coarse problem */ 3622 if (compute_vecs) { 3623 PetscInt lrows; 3624 ierr = VecDestroy(&pcbddc->coarse_vec);CHKERRQ(ierr); 3625 if (coarse_mat_is) { 3626 ierr = MatGetLocalSize(coarse_mat_is,&lrows,NULL);CHKERRQ(ierr); 3627 } else { 3628 lrows = 0; 3629 } 3630 ierr = VecCreate(PetscObjectComm((PetscObject)pc),&pcbddc->coarse_vec);CHKERRQ(ierr); 3631 ierr = VecSetSizes(pcbddc->coarse_vec,lrows,PETSC_DECIDE);CHKERRQ(ierr); 3632 ierr = VecSetType(pcbddc->coarse_vec,VECSTANDARD);CHKERRQ(ierr); 3633 ierr = VecScatterDestroy(&pcbddc->coarse_loc_to_glob);CHKERRQ(ierr); 3634 ierr = VecScatterCreate(pcbddc->vec1_P,NULL,pcbddc->coarse_vec,coarse_is,&pcbddc->coarse_loc_to_glob);CHKERRQ(ierr); 3635 } 3636 ierr = ISDestroy(&coarse_is);CHKERRQ(ierr); 3637 ierr = MatDestroy(&t_coarse_mat_is);CHKERRQ(ierr); 3638 3639 /* set defaults for coarse KSP and PC */ 3640 if (multilevel_allowed) { 3641 coarse_ksp_type = KSPRICHARDSON; 3642 coarse_pc_type = PCBDDC; 3643 } else { 3644 coarse_ksp_type = KSPPREONLY; 3645 coarse_pc_type = PCREDUNDANT; 3646 } 3647 3648 /* print some info if requested */ 3649 if (pcbddc->dbg_flag) { 3650 if (!multilevel_allowed) { 3651 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3652 if (multilevel_requested) { 3653 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); 3654 } else if (pcbddc->max_levels) { 3655 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Maximum number of requested levels reached (%d)\n",pcbddc->max_levels);CHKERRQ(ierr); 3656 } 3657 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3658 } 3659 } 3660 3661 /* create the coarse KSP object only once with defaults */ 3662 if (coarse_mat_is) { 3663 MatReuse coarse_mat_reuse; 3664 PetscViewer dbg_viewer = NULL; 3665 if (pcbddc->dbg_flag) { 3666 dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)coarse_mat_is)); 3667 ierr = PetscViewerASCIIAddTab(dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr); 3668 } 3669 if (!pcbddc->coarse_ksp) { 3670 char prefix[256],str_level[16]; 3671 size_t len; 3672 ierr = KSPCreate(PetscObjectComm((PetscObject)coarse_mat_is),&pcbddc->coarse_ksp);CHKERRQ(ierr); 3673 ierr = PetscObjectIncrementTabLevel((PetscObject)pcbddc->coarse_ksp,(PetscObject)pc,1);CHKERRQ(ierr); 3674 ierr = KSPSetTolerances(pcbddc->coarse_ksp,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT,1);CHKERRQ(ierr); 3675 ierr = KSPSetOperators(pcbddc->coarse_ksp,coarse_mat_is,coarse_mat_is);CHKERRQ(ierr); 3676 ierr = KSPSetType(pcbddc->coarse_ksp,coarse_ksp_type);CHKERRQ(ierr); 3677 ierr = KSPSetNormType(pcbddc->coarse_ksp,KSP_NORM_NONE);CHKERRQ(ierr); 3678 ierr = KSPGetPC(pcbddc->coarse_ksp,&pc_temp);CHKERRQ(ierr); 3679 ierr = PCSetType(pc_temp,coarse_pc_type);CHKERRQ(ierr); 3680 /* prefix */ 3681 ierr = PetscStrcpy(prefix,"");CHKERRQ(ierr); 3682 ierr = PetscStrcpy(str_level,"");CHKERRQ(ierr); 3683 if (!pcbddc->current_level) { 3684 ierr = PetscStrcpy(prefix,((PetscObject)pc)->prefix);CHKERRQ(ierr); 3685 ierr = PetscStrcat(prefix,"pc_bddc_coarse_");CHKERRQ(ierr); 3686 } else { 3687 ierr = PetscStrlen(((PetscObject)pc)->prefix,&len);CHKERRQ(ierr); 3688 if (pcbddc->current_level>1) len -= 3; /* remove "lX_" with X level number */ 3689 if (pcbddc->current_level>10) len -= 1; /* remove another char from level number */ 3690 ierr = PetscStrncpy(prefix,((PetscObject)pc)->prefix,len+1);CHKERRQ(ierr); 3691 sprintf(str_level,"l%d_",(int)(pcbddc->current_level)); 3692 ierr = PetscStrcat(prefix,str_level);CHKERRQ(ierr); 3693 } 3694 ierr = KSPSetOptionsPrefix(pcbddc->coarse_ksp,prefix);CHKERRQ(ierr); 3695 /* allow user customization */ 3696 ierr = KSPSetFromOptions(pcbddc->coarse_ksp);CHKERRQ(ierr); 3697 ierr = PCFactorSetReuseFill(pc_temp,PETSC_TRUE);CHKERRQ(ierr); 3698 } 3699 3700 /* get some info after set from options */ 3701 ierr = KSPGetPC(pcbddc->coarse_ksp,&pc_temp);CHKERRQ(ierr); 3702 ierr = PetscObjectTypeCompare((PetscObject)pc_temp,PCNN,&isnn);CHKERRQ(ierr); 3703 ierr = PetscObjectTypeCompare((PetscObject)pc_temp,PCBDDC,&isbddc);CHKERRQ(ierr); 3704 ierr = PetscObjectTypeCompare((PetscObject)pc_temp,PCREDUNDANT,&isredundant);CHKERRQ(ierr); 3705 if (isbddc && !multilevel_allowed) { /* multilevel can only be requested via pc_bddc_set_levels */ 3706 ierr = PCSetType(pc_temp,coarse_pc_type);CHKERRQ(ierr); 3707 isbddc = PETSC_FALSE; 3708 } 3709 if (isredundant) { 3710 KSP inner_ksp; 3711 PC inner_pc; 3712 ierr = PCRedundantGetKSP(pc_temp,&inner_ksp);CHKERRQ(ierr); 3713 ierr = KSPGetPC(inner_ksp,&inner_pc);CHKERRQ(ierr); 3714 ierr = PCFactorSetReuseFill(inner_pc,PETSC_TRUE);CHKERRQ(ierr); 3715 } 3716 3717 /* propagate BDDC info to the next level (these are dummy calls if pc_temp is not of type PCBDDC) */ 3718 ierr = PCBDDCSetLevel(pc_temp,pcbddc->current_level+1);CHKERRQ(ierr); 3719 ierr = PCBDDCSetCoarseningRatio(pc_temp,pcbddc->coarsening_ratio);CHKERRQ(ierr); 3720 ierr = PCBDDCSetLevels(pc_temp,pcbddc->max_levels);CHKERRQ(ierr); 3721 if (nisdofs) { 3722 ierr = PCBDDCSetDofsSplitting(pc_temp,nisdofs,isarray);CHKERRQ(ierr); 3723 for (i=0;i<nisdofs;i++) { 3724 ierr = ISDestroy(&isarray[i]);CHKERRQ(ierr); 3725 } 3726 } 3727 if (nisneu) { 3728 ierr = PCBDDCSetNeumannBoundaries(pc_temp,isarray[nisdofs]);CHKERRQ(ierr); 3729 ierr = ISDestroy(&isarray[nisdofs]);CHKERRQ(ierr); 3730 } 3731 3732 /* assemble coarse matrix */ 3733 if (coarse_reuse) { 3734 ierr = KSPGetOperators(pcbddc->coarse_ksp,&coarse_mat,NULL);CHKERRQ(ierr); 3735 ierr = PetscObjectReference((PetscObject)coarse_mat);CHKERRQ(ierr); 3736 coarse_mat_reuse = MAT_REUSE_MATRIX; 3737 } else { 3738 coarse_mat_reuse = MAT_INITIAL_MATRIX; 3739 } 3740 if (isbddc || isnn) { 3741 if (!pcbddc->coarse_subassembling) { /* subassembling info is not present */ 3742 ierr = MatISGetSubassemblingPattern(coarse_mat_is,active_procs/pcbddc->coarsening_ratio,PETSC_TRUE,&pcbddc->coarse_subassembling);CHKERRQ(ierr); 3743 if (pcbddc->dbg_flag) { 3744 ierr = PetscViewerASCIIPrintf(dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3745 ierr = PetscViewerASCIIPrintf(dbg_viewer,"Subassembling pattern\n");CHKERRQ(ierr); 3746 ierr = ISView(pcbddc->coarse_subassembling,dbg_viewer);CHKERRQ(ierr); 3747 ierr = PetscViewerFlush(dbg_viewer);CHKERRQ(ierr); 3748 } 3749 } 3750 ierr = MatISSubassemble(coarse_mat_is,pcbddc->coarse_subassembling,0,PETSC_FALSE,coarse_mat_reuse,&coarse_mat,0,NULL);CHKERRQ(ierr); 3751 } else { 3752 ierr = MatISGetMPIXAIJ(coarse_mat_is,coarse_mat_reuse,&coarse_mat);CHKERRQ(ierr); 3753 } 3754 ierr = MatDestroy(&coarse_mat_is);CHKERRQ(ierr); 3755 3756 /* propagate symmetry info to coarse matrix */ 3757 ierr = MatSetOption(coarse_mat,MAT_SYMMETRIC,pcbddc->issym);CHKERRQ(ierr); 3758 ierr = MatSetOption(coarse_mat,MAT_STRUCTURALLY_SYMMETRIC,PETSC_TRUE);CHKERRQ(ierr); 3759 3760 /* set operators */ 3761 ierr = KSPSetOperators(pcbddc->coarse_ksp,coarse_mat,coarse_mat);CHKERRQ(ierr); 3762 if (pcbddc->dbg_flag) { 3763 ierr = PetscViewerASCIISubtractTab(dbg_viewer,2*pcbddc->current_level);CHKERRQ(ierr); 3764 } 3765 } else { /* processes non partecipating to coarse solver (if any) */ 3766 coarse_mat = 0; 3767 } 3768 ierr = PetscFree(isarray);CHKERRQ(ierr); 3769 #if 0 3770 { 3771 PetscViewer viewer; 3772 char filename[256]; 3773 sprintf(filename,"coarse_mat.m"); 3774 ierr = PetscViewerASCIIOpen(PETSC_COMM_WORLD,filename,&viewer);CHKERRQ(ierr); 3775 ierr = PetscViewerSetFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);CHKERRQ(ierr); 3776 ierr = MatView(coarse_mat,viewer);CHKERRQ(ierr); 3777 ierr = PetscViewerDestroy(&viewer);CHKERRQ(ierr); 3778 } 3779 #endif 3780 3781 /* Compute coarse null space (special handling by BDDC only) */ 3782 if (pcbddc->NullSpace) { 3783 ierr = PCBDDCNullSpaceAssembleCoarse(pc,coarse_mat,&CoarseNullSpace);CHKERRQ(ierr); 3784 } 3785 3786 if (pcbddc->coarse_ksp) { 3787 Vec crhs,csol; 3788 PetscBool ispreonly; 3789 if (CoarseNullSpace) { 3790 if (isbddc) { 3791 ierr = PCBDDCSetNullSpace(pc_temp,CoarseNullSpace);CHKERRQ(ierr); 3792 } else { 3793 ierr = KSPSetNullSpace(pcbddc->coarse_ksp,CoarseNullSpace);CHKERRQ(ierr); 3794 } 3795 } 3796 /* setup coarse ksp */ 3797 ierr = KSPSetUp(pcbddc->coarse_ksp);CHKERRQ(ierr); 3798 ierr = KSPGetSolution(pcbddc->coarse_ksp,&csol);CHKERRQ(ierr); 3799 ierr = KSPGetRhs(pcbddc->coarse_ksp,&crhs);CHKERRQ(ierr); 3800 /* hack */ 3801 if (!csol) { 3802 ierr = MatCreateVecs(coarse_mat,&((pcbddc->coarse_ksp)->vec_sol),NULL);CHKERRQ(ierr); 3803 } 3804 if (!crhs) { 3805 ierr = MatCreateVecs(coarse_mat,NULL,&((pcbddc->coarse_ksp)->vec_rhs));CHKERRQ(ierr); 3806 } 3807 /* Check coarse problem if in debug mode or if solving with an iterative method */ 3808 ierr = PetscObjectTypeCompare((PetscObject)pcbddc->coarse_ksp,KSPPREONLY,&ispreonly);CHKERRQ(ierr); 3809 if (pcbddc->dbg_flag || (!ispreonly && pcbddc->use_coarse_estimates) ) { 3810 KSP check_ksp; 3811 KSPType check_ksp_type; 3812 PC check_pc; 3813 Vec check_vec,coarse_vec; 3814 PetscReal abs_infty_error,infty_error,lambda_min=1.0,lambda_max=1.0; 3815 PetscInt its; 3816 PetscBool compute_eigs; 3817 PetscReal *eigs_r,*eigs_c; 3818 PetscInt neigs; 3819 const char *prefix; 3820 3821 /* Create ksp object suitable for estimation of extreme eigenvalues */ 3822 ierr = KSPCreate(PetscObjectComm((PetscObject)pcbddc->coarse_ksp),&check_ksp);CHKERRQ(ierr); 3823 ierr = KSPSetOperators(check_ksp,coarse_mat,coarse_mat);CHKERRQ(ierr); 3824 ierr = KSPSetTolerances(check_ksp,1.e-12,1.e-12,PETSC_DEFAULT,pcbddc->coarse_size);CHKERRQ(ierr); 3825 if (ispreonly) { 3826 check_ksp_type = KSPPREONLY; 3827 compute_eigs = PETSC_FALSE; 3828 } else { 3829 check_ksp_type = KSPGMRES; 3830 compute_eigs = PETSC_TRUE; 3831 } 3832 ierr = KSPSetType(check_ksp,check_ksp_type);CHKERRQ(ierr); 3833 ierr = KSPSetComputeSingularValues(check_ksp,compute_eigs);CHKERRQ(ierr); 3834 ierr = KSPSetComputeEigenvalues(check_ksp,compute_eigs);CHKERRQ(ierr); 3835 ierr = KSPGMRESSetRestart(check_ksp,pcbddc->coarse_size+1);CHKERRQ(ierr); 3836 ierr = KSPGetOptionsPrefix(pcbddc->coarse_ksp,&prefix);CHKERRQ(ierr); 3837 ierr = KSPSetOptionsPrefix(check_ksp,prefix);CHKERRQ(ierr); 3838 ierr = KSPAppendOptionsPrefix(check_ksp,"check_");CHKERRQ(ierr); 3839 ierr = KSPSetFromOptions(check_ksp);CHKERRQ(ierr); 3840 ierr = KSPSetUp(check_ksp);CHKERRQ(ierr); 3841 ierr = KSPGetPC(pcbddc->coarse_ksp,&check_pc);CHKERRQ(ierr); 3842 ierr = KSPSetPC(check_ksp,check_pc);CHKERRQ(ierr); 3843 /* create random vec */ 3844 ierr = KSPGetSolution(pcbddc->coarse_ksp,&coarse_vec);CHKERRQ(ierr); 3845 ierr = VecDuplicate(coarse_vec,&check_vec);CHKERRQ(ierr); 3846 ierr = VecSetRandom(check_vec,NULL);CHKERRQ(ierr); 3847 if (CoarseNullSpace) { 3848 ierr = MatNullSpaceRemove(CoarseNullSpace,check_vec);CHKERRQ(ierr); 3849 } 3850 ierr = MatMult(coarse_mat,check_vec,coarse_vec);CHKERRQ(ierr); 3851 /* solve coarse problem */ 3852 ierr = KSPSolve(check_ksp,coarse_vec,coarse_vec);CHKERRQ(ierr); 3853 if (CoarseNullSpace) { 3854 ierr = MatNullSpaceRemove(CoarseNullSpace,coarse_vec);CHKERRQ(ierr); 3855 } 3856 /* set eigenvalue estimation if preonly has not been requested */ 3857 if (compute_eigs) { 3858 ierr = PetscMalloc((pcbddc->coarse_size+1)*sizeof(PetscReal),&eigs_r);CHKERRQ(ierr); 3859 ierr = PetscMalloc((pcbddc->coarse_size+1)*sizeof(PetscReal),&eigs_c);CHKERRQ(ierr); 3860 ierr = KSPComputeEigenvalues(check_ksp,pcbddc->coarse_size+1,eigs_r,eigs_c,&neigs);CHKERRQ(ierr); 3861 lambda_max = eigs_r[neigs-1]; 3862 lambda_min = eigs_r[0]; 3863 if (pcbddc->use_coarse_estimates) { 3864 if (lambda_max>lambda_min) { 3865 ierr = KSPChebyshevSetEigenvalues(pcbddc->coarse_ksp,lambda_max,lambda_min);CHKERRQ(ierr); 3866 ierr = KSPRichardsonSetScale(pcbddc->coarse_ksp,2.0/(lambda_max+lambda_min));CHKERRQ(ierr); 3867 } 3868 } 3869 } 3870 3871 /* check coarse problem residual error */ 3872 if (pcbddc->dbg_flag) { 3873 PetscViewer dbg_viewer = PETSC_VIEWER_STDOUT_(PetscObjectComm((PetscObject)pcbddc->coarse_ksp)); 3874 ierr = PetscViewerASCIIAddTab(dbg_viewer,2*(pcbddc->current_level+1));CHKERRQ(ierr); 3875 ierr = VecAXPY(check_vec,-1.0,coarse_vec);CHKERRQ(ierr); 3876 ierr = VecNorm(check_vec,NORM_INFINITY,&infty_error);CHKERRQ(ierr); 3877 ierr = MatMult(coarse_mat,check_vec,coarse_vec);CHKERRQ(ierr); 3878 ierr = VecNorm(coarse_vec,NORM_INFINITY,&abs_infty_error);CHKERRQ(ierr); 3879 ierr = VecDestroy(&check_vec);CHKERRQ(ierr); 3880 ierr = PetscViewerASCIIPrintf(dbg_viewer,"Coarse problem details (%d)\n",pcbddc->use_coarse_estimates);CHKERRQ(ierr); 3881 ierr = PetscObjectPrintClassNamePrefixType((PetscObject)(pcbddc->coarse_ksp),dbg_viewer);CHKERRQ(ierr); 3882 ierr = PetscObjectPrintClassNamePrefixType((PetscObject)(check_pc),dbg_viewer);CHKERRQ(ierr); 3883 ierr = PetscViewerASCIIPrintf(dbg_viewer,"Coarse problem exact infty_error : %1.6e\n",infty_error);CHKERRQ(ierr); 3884 ierr = PetscViewerASCIIPrintf(dbg_viewer,"Coarse problem residual infty_error: %1.6e\n",abs_infty_error);CHKERRQ(ierr); 3885 if (compute_eigs) { 3886 PetscReal lambda_max_s,lambda_min_s; 3887 ierr = KSPGetType(check_ksp,&check_ksp_type);CHKERRQ(ierr); 3888 ierr = KSPGetIterationNumber(check_ksp,&its);CHKERRQ(ierr); 3889 ierr = KSPComputeExtremeSingularValues(check_ksp,&lambda_max_s,&lambda_min_s);CHKERRQ(ierr); 3890 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); 3891 for (i=0;i<neigs;i++) { 3892 ierr = PetscViewerASCIIPrintf(dbg_viewer,"%1.6e %1.6ei\n",eigs_r[i],eigs_c[i]);CHKERRQ(ierr); 3893 } 3894 } 3895 ierr = PetscViewerFlush(dbg_viewer);CHKERRQ(ierr); 3896 ierr = PetscViewerASCIISubtractTab(dbg_viewer,2*(pcbddc->current_level+1));CHKERRQ(ierr); 3897 } 3898 ierr = KSPDestroy(&check_ksp);CHKERRQ(ierr); 3899 if (compute_eigs) { 3900 ierr = PetscFree(eigs_r);CHKERRQ(ierr); 3901 ierr = PetscFree(eigs_c);CHKERRQ(ierr); 3902 } 3903 } 3904 } 3905 /* print additional info */ 3906 if (pcbddc->dbg_flag) { 3907 /* waits until all processes reaches this point */ 3908 ierr = PetscBarrier((PetscObject)pc);CHKERRQ(ierr); 3909 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Coarse solver setup completed at level %d\n",pcbddc->current_level);CHKERRQ(ierr); 3910 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3911 } 3912 3913 /* free memory */ 3914 ierr = MatNullSpaceDestroy(&CoarseNullSpace);CHKERRQ(ierr); 3915 ierr = MatDestroy(&coarse_mat);CHKERRQ(ierr); 3916 PetscFunctionReturn(0); 3917 } 3918 3919 #undef __FUNCT__ 3920 #define __FUNCT__ "PCBDDCComputePrimalNumbering" 3921 PetscErrorCode PCBDDCComputePrimalNumbering(PC pc,PetscInt* coarse_size_n,PetscInt** local_primal_indices_n) 3922 { 3923 PC_BDDC* pcbddc = (PC_BDDC*)pc->data; 3924 PC_IS* pcis = (PC_IS*)pc->data; 3925 Mat_IS* matis = (Mat_IS*)pc->pmat->data; 3926 PetscInt i,coarse_size; 3927 PetscInt *local_primal_indices; 3928 PetscErrorCode ierr; 3929 3930 PetscFunctionBegin; 3931 /* Compute global number of coarse dofs */ 3932 if (!pcbddc->primal_indices_local_idxs && pcbddc->local_primal_size) { 3933 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"BDDC Local primal indices have not been created"); 3934 } 3935 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); 3936 3937 /* check numbering */ 3938 if (pcbddc->dbg_flag) { 3939 PetscScalar coarsesum,*array; 3940 PetscBool set_error = PETSC_FALSE,set_error_reduced = PETSC_FALSE; 3941 3942 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3943 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"--------------------------------------------------\n");CHKERRQ(ierr); 3944 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Check coarse indices\n");CHKERRQ(ierr); 3945 ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr); 3946 ierr = VecSet(pcis->vec1_N,0.0);CHKERRQ(ierr); 3947 for (i=0;i<pcbddc->local_primal_size;i++) { 3948 ierr = VecSetValue(pcis->vec1_N,pcbddc->primal_indices_local_idxs[i],1.0,INSERT_VALUES);CHKERRQ(ierr); 3949 } 3950 ierr = VecAssemblyBegin(pcis->vec1_N);CHKERRQ(ierr); 3951 ierr = VecAssemblyEnd(pcis->vec1_N);CHKERRQ(ierr); 3952 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 3953 ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 3954 ierr = VecScatterEnd(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 3955 ierr = VecScatterBegin(matis->ctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 3956 ierr = VecScatterEnd(matis->ctx,pcis->vec1_global,pcis->vec1_N,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 3957 ierr = VecGetArray(pcis->vec1_N,&array);CHKERRQ(ierr); 3958 for (i=0;i<pcis->n;i++) { 3959 if (array[i] == 1.0) { 3960 set_error = PETSC_TRUE; 3961 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d: local index %d owned by a single process!\n",PetscGlobalRank,i);CHKERRQ(ierr); 3962 } 3963 } 3964 ierr = MPI_Allreduce(&set_error,&set_error_reduced,1,MPIU_BOOL,MPI_LOR,PetscObjectComm((PetscObject)pc));CHKERRQ(ierr); 3965 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3966 for (i=0;i<pcis->n;i++) { 3967 if (PetscRealPart(array[i]) > 0.0) array[i] = 1.0/PetscRealPart(array[i]); 3968 } 3969 ierr = VecRestoreArray(pcis->vec1_N,&array);CHKERRQ(ierr); 3970 ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr); 3971 ierr = VecScatterBegin(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 3972 ierr = VecScatterEnd(matis->ctx,pcis->vec1_N,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr); 3973 ierr = VecSum(pcis->vec1_global,&coarsesum);CHKERRQ(ierr); 3974 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Size of coarse problem is %d (%lf)\n",coarse_size,PetscRealPart(coarsesum));CHKERRQ(ierr); 3975 if (pcbddc->dbg_flag > 1 || set_error_reduced) { 3976 ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Distribution of local primal indices\n");CHKERRQ(ierr); 3977 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3978 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Subdomain %04d\n",PetscGlobalRank);CHKERRQ(ierr); 3979 for (i=0;i<pcbddc->local_primal_size;i++) { 3980 ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"local_primal_indices[%d]=%d (%d)\n",i,local_primal_indices[i],pcbddc->primal_indices_local_idxs[i]); 3981 } 3982 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3983 } 3984 ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr); 3985 if (set_error_reduced) { 3986 SETERRQ(PetscObjectComm((PetscObject)pc),PETSC_ERR_PLIB,"BDDC Numbering of coarse dofs failed"); 3987 } 3988 } 3989 /* get back data */ 3990 *coarse_size_n = coarse_size; 3991 *local_primal_indices_n = local_primal_indices; 3992 PetscFunctionReturn(0); 3993 } 3994 3995 #undef __FUNCT__ 3996 #define __FUNCT__ "PCBDDCGlobalToLocal" 3997 PetscErrorCode PCBDDCGlobalToLocal(VecScatter g2l_ctx,Vec gwork, Vec lwork, IS globalis, IS* localis) 3998 { 3999 IS localis_t; 4000 PetscInt i,lsize,*idxs,n; 4001 PetscScalar *vals; 4002 PetscErrorCode ierr; 4003 4004 PetscFunctionBegin; 4005 /* get indices in local ordering exploiting local to global map */ 4006 ierr = ISGetLocalSize(globalis,&lsize);CHKERRQ(ierr); 4007 ierr = PetscMalloc(lsize*sizeof(PetscScalar),&vals);CHKERRQ(ierr); 4008 for (i=0;i<lsize;i++) vals[i] = 1.0; 4009 ierr = ISGetIndices(globalis,(const PetscInt**)&idxs);CHKERRQ(ierr); 4010 ierr = VecSet(gwork,0.0);CHKERRQ(ierr); 4011 ierr = VecSet(lwork,0.0);CHKERRQ(ierr); 4012 if (idxs) { /* multilevel guard */ 4013 ierr = VecSetValues(gwork,lsize,idxs,vals,INSERT_VALUES);CHKERRQ(ierr); 4014 } 4015 ierr = VecAssemblyBegin(gwork);CHKERRQ(ierr); 4016 ierr = ISRestoreIndices(globalis,(const PetscInt**)&idxs);CHKERRQ(ierr); 4017 ierr = PetscFree(vals);CHKERRQ(ierr); 4018 ierr = VecAssemblyEnd(gwork);CHKERRQ(ierr); 4019 /* now compute set in local ordering */ 4020 ierr = VecScatterBegin(g2l_ctx,gwork,lwork,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 4021 ierr = VecScatterEnd(g2l_ctx,gwork,lwork,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr); 4022 ierr = VecGetArrayRead(lwork,(const PetscScalar**)&vals);CHKERRQ(ierr); 4023 ierr = VecGetSize(lwork,&n);CHKERRQ(ierr); 4024 for (i=0,lsize=0;i<n;i++) { 4025 if (PetscRealPart(vals[i]) > 0.5) { 4026 lsize++; 4027 } 4028 } 4029 ierr = PetscMalloc(lsize*sizeof(PetscInt),&idxs);CHKERRQ(ierr); 4030 for (i=0,lsize=0;i<n;i++) { 4031 if (PetscRealPart(vals[i]) > 0.5) { 4032 idxs[lsize++] = i; 4033 } 4034 } 4035 ierr = VecRestoreArrayRead(lwork,(const PetscScalar**)&vals);CHKERRQ(ierr); 4036 ierr = ISCreateGeneral(PetscObjectComm((PetscObject)gwork),lsize,idxs,PETSC_OWN_POINTER,&localis_t);CHKERRQ(ierr); 4037 *localis = localis_t; 4038 PetscFunctionReturn(0); 4039 } 4040 4041 /* the next two functions will be called in KSPMatMult if a change of basis has been requested */ 4042 #undef __FUNCT__ 4043 #define __FUNCT__ "PCBDDCMatMult_Private" 4044 static PetscErrorCode PCBDDCMatMult_Private(Mat A, Vec x, Vec y) 4045 { 4046 PCBDDCChange_ctx change_ctx; 4047 PetscErrorCode ierr; 4048 4049 PetscFunctionBegin; 4050 ierr = MatShellGetContext(A,&change_ctx);CHKERRQ(ierr); 4051 ierr = MatMult(change_ctx->global_change,x,change_ctx->work[0]);CHKERRQ(ierr); 4052 ierr = MatMult(change_ctx->original_mat,change_ctx->work[0],change_ctx->work[1]);CHKERRQ(ierr); 4053 ierr = MatMultTranspose(change_ctx->global_change,change_ctx->work[1],y);CHKERRQ(ierr); 4054 PetscFunctionReturn(0); 4055 } 4056 4057 #undef __FUNCT__ 4058 #define __FUNCT__ "PCBDDCMatMultTranspose_Private" 4059 static PetscErrorCode PCBDDCMatMultTranspose_Private(Mat A, Vec x, Vec y) 4060 { 4061 PCBDDCChange_ctx change_ctx; 4062 PetscErrorCode ierr; 4063 4064 PetscFunctionBegin; 4065 ierr = MatShellGetContext(A,&change_ctx);CHKERRQ(ierr); 4066 ierr = MatMult(change_ctx->global_change,x,change_ctx->work[0]);CHKERRQ(ierr); 4067 ierr = MatMultTranspose(change_ctx->original_mat,change_ctx->work[0],change_ctx->work[1]);CHKERRQ(ierr); 4068 ierr = MatMultTranspose(change_ctx->global_change,change_ctx->work[1],y);CHKERRQ(ierr); 4069 PetscFunctionReturn(0); 4070 } 4071