xref: /petsc/src/ksp/pc/impls/bddc/bddcscalingbasic.c (revision 212decf37d1ca6f2f576574b4a4b59bc725c9db3) 
1 #include <../src/ksp/pc/impls/bddc/bddc.h>
2 #include <../src/ksp/pc/impls/bddc/bddcprivate.h>
3 
4 /* prototypes for deluxe functions */
5 static PetscErrorCode PCBDDCScalingCreate_Deluxe(PC);
6 static PetscErrorCode PCBDDCScalingDestroy_Deluxe(PC);
7 static PetscErrorCode PCBDDCScalingSetUp_Deluxe(PC);
8 static PetscErrorCode PCBDDCScalingSetUp_Deluxe_Par(PC,PetscInt,PetscInt,PetscInt[],PetscInt[]);
9 static PetscErrorCode PCBDDCScalingSetUp_Deluxe_Seq(PC,PetscInt,PetscInt,PetscInt[],PetscInt[]);
10 static PetscErrorCode PCBDDCScalingReset_Deluxe_Solvers(PCBDDCDeluxeScaling);
11 
12 #undef __FUNCT__
13 #define __FUNCT__ "PCBDDCScalingExtension_Basic"
14 static PetscErrorCode PCBDDCScalingExtension_Basic(PC pc, Vec local_interface_vector, Vec global_vector)
15 {
16   PC_IS* pcis = (PC_IS*)pc->data;
17   PC_BDDC* pcbddc = (PC_BDDC*)pc->data;
18   PetscErrorCode ierr;
19 
20   PetscFunctionBegin;
21   /* Apply partition of unity */
22   ierr = VecPointwiseMult(pcbddc->work_scaling,pcis->D,local_interface_vector);CHKERRQ(ierr);
23   ierr = VecSet(global_vector,0.0);CHKERRQ(ierr);
24   ierr = VecScatterBegin(pcis->global_to_B,pcbddc->work_scaling,global_vector,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
25   ierr = VecScatterEnd(pcis->global_to_B,pcbddc->work_scaling,global_vector,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
26   PetscFunctionReturn(0);
27 }
28 
29 #undef __FUNCT__
30 #define __FUNCT__ "PCBDDCScalingExtension_Deluxe"
31 static PetscErrorCode PCBDDCScalingExtension_Deluxe(PC pc, Vec x, Vec y)
32 {
33   PC_IS*              pcis=(PC_IS*)pc->data;
34   PC_BDDC*            pcbddc=(PC_BDDC*)pc->data;
35   PCBDDCDeluxeScaling deluxe_ctx = pcbddc->deluxe_ctx;
36   PCBDDCSubSchurs     sub_schurs = pcbddc->sub_schurs[1];
37   PetscInt            i;
38   PetscErrorCode      ierr;
39 
40   /* TODO CHECK STUFF RELATED WITH FAKE WORK */
41   PetscFunctionBegin;
42   ierr = VecSet(pcbddc->work_scaling,0.0);CHKERRQ(ierr); /* needed by the fake work below */
43   if (deluxe_ctx->n_simple) {
44     /* scale deluxe vertices using diagonal scaling */
45     PetscScalar *array_x,*array_D,*array;
46     ierr = VecGetArray(x,&array_x);CHKERRQ(ierr);
47     ierr = VecGetArray(pcis->D,&array_D);CHKERRQ(ierr);
48     ierr = VecGetArray(pcbddc->work_scaling,&array);CHKERRQ(ierr);
49     for (i=0;i<deluxe_ctx->n_simple;i++) {
50       array[deluxe_ctx->idx_simple_B[i]] = array_x[deluxe_ctx->idx_simple_B[i]]*array_D[deluxe_ctx->idx_simple_B[i]];
51     }
52     ierr = VecRestoreArray(pcbddc->work_scaling,&array);CHKERRQ(ierr);
53     ierr = VecRestoreArray(pcis->D,&array_D);CHKERRQ(ierr);
54     ierr = VecRestoreArray(x,&array_x);CHKERRQ(ierr);
55   }
56   /* sequential part : all problems and Schur applications collapsed into a single matrix vector multiplication and ksp solution */
57   if (deluxe_ctx->seq_mat) {
58     ierr = VecScatterBegin(deluxe_ctx->seq_scctx,x,deluxe_ctx->seq_work1,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
59     ierr = VecScatterEnd(deluxe_ctx->seq_scctx,x,deluxe_ctx->seq_work1,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
60     ierr = MatMult(deluxe_ctx->seq_mat,deluxe_ctx->seq_work1,deluxe_ctx->seq_work2);CHKERRQ(ierr);
61     ierr = KSPSolve(deluxe_ctx->seq_ksp,deluxe_ctx->seq_work2,deluxe_ctx->seq_work1);CHKERRQ(ierr);
62     /* fake work due to final ADD VALUES and vertices scaling needed? TODO: check it */
63     ierr = VecScatterBegin(deluxe_ctx->seq_scctx,deluxe_ctx->seq_work1,pcbddc->work_scaling,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
64     ierr = VecScatterEnd(deluxe_ctx->seq_scctx,deluxe_ctx->seq_work1,pcbddc->work_scaling,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
65   }
66   /* parallel part */
67   for (i=0;i<deluxe_ctx->par_colors;i++) {
68     if (deluxe_ctx->par_ksp[i]) {
69       PetscMPIInt color_rank;
70       PetscInt    subidx = deluxe_ctx->par_col2sub[i];
71       /* restrict on subset */
72       ierr = VecScatterBegin(deluxe_ctx->par_scctx_s[i],x,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
73       ierr = VecScatterEnd(deluxe_ctx->par_scctx_s[i],x,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
74       /* S_Ej */
75       ierr = MatMult(sub_schurs->S_Ej[subidx],sub_schurs->work1[subidx],sub_schurs->work2[subidx]);CHKERRQ(ierr);
76       /* (\sum_j S_Ej)^-1 */
77       ierr = VecSet(deluxe_ctx->par_vec[i],0.0);CHKERRQ(ierr);
78       ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],sub_schurs->work2[subidx],deluxe_ctx->par_vec[i],ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
79       ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],sub_schurs->work2[subidx],deluxe_ctx->par_vec[i],ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
80       ierr = KSPSolve(deluxe_ctx->par_ksp[i],deluxe_ctx->par_vec[i],deluxe_ctx->par_vec[i]);CHKERRQ(ierr);
81       ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)deluxe_ctx->par_ksp[i]),&color_rank);CHKERRQ(ierr);
82       /* get back solution on subset */
83       ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
84       ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
85       if (!color_rank) { /* only the master process in coloured comm copies the computed values */
86         ierr = VecScatterBegin(deluxe_ctx->par_scctx_s[i],sub_schurs->work1[subidx],pcbddc->work_scaling,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
87         ierr = VecScatterEnd(deluxe_ctx->par_scctx_s[i],sub_schurs->work1[subidx],pcbddc->work_scaling,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
88       }
89     }
90   }
91   /* put local boundary part in global vector */
92   ierr = VecSet(y,0.0);CHKERRQ(ierr);
93   ierr = VecScatterBegin(pcis->global_to_B,pcbddc->work_scaling,y,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
94   ierr = VecScatterEnd(pcis->global_to_B,pcbddc->work_scaling,y,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
95   PetscFunctionReturn(0);
96 }
97 
98 #undef __FUNCT__
99 #define __FUNCT__ "PCBDDCScalingExtension"
100 PetscErrorCode PCBDDCScalingExtension(PC pc, Vec local_interface_vector, Vec global_vector)
101 {
102   PC_BDDC *pcbddc=(PC_BDDC*)pc->data;
103   PetscErrorCode ierr;
104 
105   PetscFunctionBegin;
106   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
107   PetscValidHeaderSpecific(local_interface_vector,VEC_CLASSID,2);
108   PetscValidHeaderSpecific(global_vector,VEC_CLASSID,3);
109   if (local_interface_vector == pcbddc->work_scaling) {
110     SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Local vector cannot be pcbddc->work_scaling!\n");
111   }
112   ierr = PetscTryMethod(pc,"PCBDDCScalingExtension_C",(PC,Vec,Vec),(pc,local_interface_vector,global_vector));CHKERRQ(ierr);
113   PetscFunctionReturn(0);
114 }
115 
116 #undef __FUNCT__
117 #define __FUNCT__ "PCBDDCScalingRestriction_Basic"
118 static PetscErrorCode PCBDDCScalingRestriction_Basic(PC pc, Vec global_vector, Vec local_interface_vector)
119 {
120   PetscErrorCode ierr;
121   PC_IS* pcis = (PC_IS*)pc->data;
122 
123   PetscFunctionBegin;
124   ierr = VecScatterBegin(pcis->global_to_B,global_vector,local_interface_vector,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
125   ierr = VecScatterEnd(pcis->global_to_B,global_vector,local_interface_vector,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
126   /* Apply partition of unity */
127   ierr = VecPointwiseMult(local_interface_vector,pcis->D,local_interface_vector);CHKERRQ(ierr);
128   PetscFunctionReturn(0);
129 }
130 
131 #undef __FUNCT__
132 #define __FUNCT__ "PCBDDCScalingRestriction_Deluxe"
133 static PetscErrorCode PCBDDCScalingRestriction_Deluxe(PC pc, Vec x, Vec y)
134 {
135   PC_IS*              pcis=(PC_IS*)pc->data;
136   PC_BDDC*            pcbddc=(PC_BDDC*)pc->data;
137   PCBDDCDeluxeScaling deluxe_ctx = pcbddc->deluxe_ctx;
138   PCBDDCSubSchurs     sub_schurs = pcbddc->sub_schurs[1];
139   PetscInt            i;
140   PetscErrorCode      ierr;
141 
142   PetscFunctionBegin;
143   /* get local boundary part of global vector */
144   ierr = VecScatterBegin(pcis->global_to_B,x,y,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
145   ierr = VecScatterEnd(pcis->global_to_B,x,y,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
146   if (deluxe_ctx->n_simple) {
147     /* scale deluxe vertices using diagonal scaling */
148     PetscScalar *array_y,*array_D;
149     ierr = VecGetArray(y,&array_y);CHKERRQ(ierr);
150     ierr = VecGetArray(pcis->D,&array_D);CHKERRQ(ierr);
151     for (i=0;i<deluxe_ctx->n_simple;i++) {
152       array_y[deluxe_ctx->idx_simple_B[i]] *= array_D[deluxe_ctx->idx_simple_B[i]];
153     }
154     ierr = VecRestoreArray(pcis->D,&array_D);CHKERRQ(ierr);
155     ierr = VecRestoreArray(y,&array_y);CHKERRQ(ierr);
156   }
157   /* sequential part : all problems and Schur applications collapsed into a single matrix vector multiplication and ksp solution */
158   if (deluxe_ctx->seq_mat) {
159     ierr = VecScatterBegin(deluxe_ctx->seq_scctx,y,deluxe_ctx->seq_work1,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
160     ierr = VecScatterEnd(deluxe_ctx->seq_scctx,y,deluxe_ctx->seq_work1,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
161     ierr = KSPSolveTranspose(deluxe_ctx->seq_ksp,deluxe_ctx->seq_work1,deluxe_ctx->seq_work2);CHKERRQ(ierr);
162     ierr = MatMultTranspose(deluxe_ctx->seq_mat,deluxe_ctx->seq_work2,deluxe_ctx->seq_work1);CHKERRQ(ierr);
163     ierr = VecScatterBegin(deluxe_ctx->seq_scctx,deluxe_ctx->seq_work1,y,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
164     ierr = VecScatterEnd(deluxe_ctx->seq_scctx,deluxe_ctx->seq_work1,y,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
165   }
166   /* parallel part */
167   for (i=0;i<deluxe_ctx->par_colors;i++) {
168     if (deluxe_ctx->par_ksp[i]) {
169       PetscInt subidx = deluxe_ctx->par_col2sub[i];
170       /* restrict on subset */
171       ierr = VecScatterBegin(deluxe_ctx->par_scctx_s[i],y,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
172       ierr = VecScatterEnd(deluxe_ctx->par_scctx_s[i],y,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
173       /* (\sum_j S_Ej)^-T */
174       ierr = VecSet(deluxe_ctx->par_vec[i],0.0);CHKERRQ(ierr);
175       ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],deluxe_ctx->par_vec[i],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
176       ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],deluxe_ctx->par_vec[i],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
177       ierr = KSPSolveTranspose(deluxe_ctx->par_ksp[i],deluxe_ctx->par_vec[i],deluxe_ctx->par_vec[i]);CHKERRQ(ierr);
178       ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
179       ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
180       /* S_Ej^T */
181       ierr = MatMultTranspose(sub_schurs->S_Ej[subidx],sub_schurs->work1[subidx],sub_schurs->work2[subidx]);CHKERRQ(ierr);
182       /* extend to boundary */
183       ierr = VecScatterBegin(deluxe_ctx->par_scctx_s[i],sub_schurs->work2[subidx],y,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
184       ierr = VecScatterEnd(deluxe_ctx->par_scctx_s[i],sub_schurs->work2[subidx],y,INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
185     }
186   }
187   PetscFunctionReturn(0);
188 }
189 
190 #undef __FUNCT__
191 #define __FUNCT__ "PCBDDCScalingRestriction"
192 PetscErrorCode PCBDDCScalingRestriction(PC pc, Vec global_vector, Vec local_interface_vector)
193 {
194   PC_BDDC        *pcbddc=(PC_BDDC*)pc->data;
195   PetscErrorCode ierr;
196 
197   PetscFunctionBegin;
198   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
199   PetscValidHeaderSpecific(global_vector,VEC_CLASSID,2);
200   PetscValidHeaderSpecific(local_interface_vector,VEC_CLASSID,3);
201   if (local_interface_vector == pcbddc->work_scaling) {
202     SETERRQ(PETSC_COMM_WORLD,PETSC_ERR_SUP,"Local vector should cannot be pcbddc->work_scaling!\n");
203   }
204   ierr = PetscTryMethod(pc,"PCBDDCScalingRestriction_C",(PC,Vec,Vec),(pc,global_vector,local_interface_vector));CHKERRQ(ierr);
205   PetscFunctionReturn(0);
206 }
207 
208 #undef __FUNCT__
209 #define __FUNCT__ "PCBDDCScalingSetUp"
210 PetscErrorCode PCBDDCScalingSetUp(PC pc)
211 {
212   PC_IS* pcis=(PC_IS*)pc->data;
213   PC_BDDC* pcbddc=(PC_BDDC*)pc->data;
214   PetscErrorCode ierr;
215 
216   PetscFunctionBegin;
217   PetscValidHeaderSpecific(pc,PC_CLASSID,1);
218   /* create work vector for the operator */
219   ierr = VecDestroy(&pcbddc->work_scaling);CHKERRQ(ierr);
220   ierr = VecDuplicate(pcis->vec1_B,&pcbddc->work_scaling);CHKERRQ(ierr);
221   /* always rebuild pcis->D */
222   if (pcis->use_stiffness_scaling) {
223     ierr = MatGetDiagonal(pcbddc->local_mat,pcis->vec1_N);CHKERRQ(ierr);
224     ierr = VecScatterBegin(pcis->N_to_B,pcis->vec1_N,pcis->D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
225     ierr = VecScatterEnd(pcis->N_to_B,pcis->vec1_N,pcis->D,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
226   }
227   ierr = VecCopy(pcis->D,pcis->vec1_B);CHKERRQ(ierr);
228   ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr);
229   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
230   ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
231   ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_global,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
232   ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_global,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
233   ierr = VecPointwiseDivide(pcis->D,pcis->D,pcis->vec1_B);CHKERRQ(ierr);
234   /* now setup */
235   if (pcbddc->use_deluxe_scaling) {
236     if (!pcbddc->deluxe_ctx) {
237       ierr = PCBDDCScalingCreate_Deluxe(pc);CHKERRQ(ierr);
238     }
239     ierr = PCBDDCScalingSetUp_Deluxe(pc);CHKERRQ(ierr);
240     ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingRestriction_C",PCBDDCScalingRestriction_Deluxe);CHKERRQ(ierr);
241     ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingExtension_C",PCBDDCScalingExtension_Deluxe);CHKERRQ(ierr);
242   } else {
243     ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingRestriction_C",PCBDDCScalingRestriction_Basic);CHKERRQ(ierr);
244     ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingExtension_C",PCBDDCScalingExtension_Basic);CHKERRQ(ierr);
245   }
246 
247   /* test */
248   if (pcbddc->dbg_flag) {
249     Vec         vec2_global;
250     PetscViewer viewer=pcbddc->dbg_viewer;
251     PetscReal   error;
252 
253     /* extension -> from local to parallel */
254     ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr);
255     ierr = VecSetRandom(pcis->vec1_B,NULL);CHKERRQ(ierr);
256     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
257     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
258     ierr = VecDuplicate(pcis->vec1_global,&vec2_global);CHKERRQ(ierr);
259     ierr = VecCopy(pcis->vec1_global,vec2_global);CHKERRQ(ierr);
260 
261     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_global,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
262     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_global,pcis->vec1_B,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
263     ierr = PCBDDCScalingExtension(pc,pcis->vec1_B,pcis->vec1_global);CHKERRQ(ierr);
264     ierr = VecAXPY(pcis->vec1_global,-1.0,vec2_global);CHKERRQ(ierr);
265     ierr = VecNorm(pcis->vec1_global,NORM_INFINITY,&error);CHKERRQ(ierr);
266     ierr = PetscViewerASCIIPrintf(viewer,"Error scaling extension %1.14e\n",error);CHKERRQ(ierr);
267     if (error>1.e-8 && pcbddc->dbg_flag>1) {
268       ierr = VecView(pcis->vec1_global,viewer);CHKERRQ(ierr);
269     }
270     ierr = VecDestroy(&vec2_global);CHKERRQ(ierr);
271 
272     /* restriction -> from parallel to local */
273     ierr = VecSet(pcis->vec1_global,0.0);CHKERRQ(ierr);
274     ierr = VecSetRandom(pcis->vec1_B,NULL);CHKERRQ(ierr);
275     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
276     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
277 
278     ierr = PCBDDCScalingRestriction(pc,pcis->vec1_global,pcis->vec1_B);CHKERRQ(ierr);
279     ierr = VecScale(pcis->vec1_B,-1.0);CHKERRQ(ierr);
280     ierr = VecScatterBegin(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
281     ierr = VecScatterEnd(pcis->global_to_B,pcis->vec1_B,pcis->vec1_global,ADD_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
282     ierr = VecNorm(pcis->vec1_global,NORM_INFINITY,&error);CHKERRQ(ierr);
283     ierr = PetscViewerASCIIPrintf(viewer,"Error scaling restriction %1.14e\n",error);CHKERRQ(ierr);
284     if (error>1.e-8 && pcbddc->dbg_flag>1) {
285       ierr = VecView(pcis->vec1_global,viewer);CHKERRQ(ierr);
286     }
287   }
288   PetscFunctionReturn(0);
289 }
290 
291 #undef __FUNCT__
292 #define __FUNCT__ "PCBDDCScalingDestroy"
293 PetscErrorCode PCBDDCScalingDestroy(PC pc)
294 {
295   PC_BDDC* pcbddc=(PC_BDDC*)pc->data;
296   PetscErrorCode ierr;
297 
298   PetscFunctionBegin;
299   if (pcbddc->deluxe_ctx) {
300     ierr = PCBDDCScalingDestroy_Deluxe(pc);CHKERRQ(ierr);
301   }
302   ierr = VecDestroy(&pcbddc->work_scaling);CHKERRQ(ierr);
303   /* remove functions */
304   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingRestriction_C",NULL);CHKERRQ(ierr);
305   ierr = PetscObjectComposeFunction((PetscObject)pc,"PCBDDCScalingExtension_C",NULL);CHKERRQ(ierr);
306   PetscFunctionReturn(0);
307 }
308 
309 #undef __FUNCT__
310 #define __FUNCT__ "PCBDDCScalingCreate_Deluxe"
311 static PetscErrorCode PCBDDCScalingCreate_Deluxe(PC pc)
312 {
313   PC_BDDC*            pcbddc=(PC_BDDC*)pc->data;
314   PCBDDCDeluxeScaling deluxe_ctx;
315   PetscErrorCode      ierr;
316 
317   PetscFunctionBegin;
318   ierr = PetscNew(&deluxe_ctx);CHKERRQ(ierr);
319   pcbddc->deluxe_ctx = deluxe_ctx;
320   PetscFunctionReturn(0);
321 }
322 
323 #undef __FUNCT__
324 #define __FUNCT__ "PCBDDCScalingDestroy_Deluxe"
325 static PetscErrorCode PCBDDCScalingDestroy_Deluxe(PC pc)
326 {
327   PC_BDDC*            pcbddc=(PC_BDDC*)pc->data;
328   PetscErrorCode      ierr;
329 
330   PetscFunctionBegin;
331   ierr = PCBDDCScalingReset_Deluxe_Solvers(pcbddc->deluxe_ctx);CHKERRQ(ierr);
332   ierr = PetscFree(pcbddc->deluxe_ctx);CHKERRQ(ierr);
333   PetscFunctionReturn(0);
334 }
335 
336 #undef __FUNCT__
337 #define __FUNCT__ "PCBDDCScalingReset_Deluxe_Solvers"
338 static PetscErrorCode PCBDDCScalingReset_Deluxe_Solvers(PCBDDCDeluxeScaling deluxe_ctx)
339 {
340   PetscErrorCode      ierr;
341 
342   PetscFunctionBegin;
343   ierr = PetscFree(deluxe_ctx->idx_simple_B);CHKERRQ(ierr);
344   deluxe_ctx->n_simple = 0;
345   if (deluxe_ctx->seq_mat) {
346     ierr = VecScatterDestroy(&deluxe_ctx->seq_scctx);CHKERRQ(ierr);
347     ierr = VecDestroy(&deluxe_ctx->seq_work1);CHKERRQ(ierr);
348     ierr = VecDestroy(&deluxe_ctx->seq_work2);CHKERRQ(ierr);
349     ierr = MatDestroy(&deluxe_ctx->seq_mat);CHKERRQ(ierr);
350     ierr = KSPDestroy(&deluxe_ctx->seq_ksp);CHKERRQ(ierr);
351   }
352   if (deluxe_ctx->par_colors) {
353     PetscInt i;
354     for (i=0;i<deluxe_ctx->par_colors;i++) {
355       ierr = VecScatterDestroy(&deluxe_ctx->par_scctx_s[i]);CHKERRQ(ierr);
356       ierr = VecScatterDestroy(&deluxe_ctx->par_scctx_p[i]);CHKERRQ(ierr);
357       ierr = VecDestroy(&deluxe_ctx->par_vec[i]);CHKERRQ(ierr);
358       ierr = KSPDestroy(&deluxe_ctx->par_ksp[i]);CHKERRQ(ierr);
359     }
360     ierr = PetscFree5(deluxe_ctx->par_ksp,
361                       deluxe_ctx->par_scctx_s,
362                       deluxe_ctx->par_scctx_p,
363                       deluxe_ctx->par_vec,
364                       deluxe_ctx->par_col2sub);CHKERRQ(ierr);
365   }
366   deluxe_ctx->par_colors = 0;
367   PetscFunctionReturn(0);
368 }
369 
370 #define OLD_CODE 0
371 #undef __FUNCT__
372 #define __FUNCT__ "PCBDDCScalingSetUp_Deluxe"
373 static PetscErrorCode PCBDDCScalingSetUp_Deluxe(PC pc)
374 {
375   PC_IS               *pcis=(PC_IS*)pc->data;
376   PC_BDDC             *pcbddc=(PC_BDDC*)pc->data;
377   PCBDDCDeluxeScaling deluxe_ctx=pcbddc->deluxe_ctx;
378   PCBDDCSubSchurs     sub_schurs=pcbddc->sub_schurs[1];
379   PCBDDCGraph         graph;
380   PetscBT             bitmask;
381 #if OLD_CODE
382   IS                  *faces,*edges,*all_cc;
383   PetscInt            *index_sequential,*index_parallel;
384   PetscInt            *auxlocal_sequential,*auxlocal_parallel;
385   PetscInt            *auxglobal_sequential,*auxglobal_parallel;
386   PetscInt            *auxmapping,*idxs;
387   PetscInt            i,max_subset_size;
388   PetscInt            n_sequential_problems,n_local_sequential_problems,n_parallel_problems,n_local_parallel_problems;
389   PetscInt            n_faces,n_edges,n_all_cc;
390 #else
391   PetscInt i;
392   const PetscInt* idxs;
393   Mat       S_j;
394   PetscBool free_used_adj;
395   PetscInt  *used_xadj,*used_adjncy;
396 #endif
397   PetscErrorCode      ierr;
398 
399   PetscFunctionBegin;
400   /* throw away the solvers */
401   ierr = PCBDDCScalingReset_Deluxe_Solvers(deluxe_ctx);CHKERRQ(ierr);
402 
403   /* attach interface graph for determining subsets */
404   if (pcbddc->deluxe_rebuild) { /* in case rebuild has been requested, it uses a graph generated only by the neighbouring information */
405     PetscInt *idx_V_N;
406     IS       verticesIS;
407     ierr = PCBDDCGetPrimalVerticesLocalIdx(pc,&i,&idx_V_N);CHKERRQ(ierr);
408     ierr = ISCreateGeneral(PETSC_COMM_SELF,i,idx_V_N,PETSC_OWN_POINTER,&verticesIS);CHKERRQ(ierr);
409     ierr = PCBDDCGraphCreate(&graph);CHKERRQ(ierr);
410     ierr = PCBDDCGraphInit(graph,pcbddc->mat_graph->l2gmap);CHKERRQ(ierr);
411     ierr = PCBDDCGraphSetUp(graph,0,NULL,pcbddc->DirichletBoundariesLocal,0,NULL,verticesIS);CHKERRQ(ierr);
412     ierr = PCBDDCGraphComputeConnectedComponents(graph);CHKERRQ(ierr);
413     ierr = ISDestroy(&verticesIS);CHKERRQ(ierr);
414 /*
415     if (pcbddc->dbg_flag) {
416       ierr = PCBDDCGraphASCIIView(graph,pcbddc->dbg_flag,pcbddc->dbg_viewer);CHKERRQ(ierr);
417     }
418 */
419   } else {
420     graph = pcbddc->mat_graph;
421   }
422 
423 #if OLD_CODE
424   /* get index sets for faces and edges */
425   ierr = PCBDDCGraphGetCandidatesIS(graph,&n_faces,&faces,&n_edges,&edges,NULL);CHKERRQ(ierr);
426   n_all_cc = n_faces+n_edges;
427   ierr = PetscMalloc1(n_all_cc,&all_cc);CHKERRQ(ierr);
428   for (i=0;i<n_faces;i++) {
429     all_cc[i] = faces[i];
430   }
431   for (i=0;i<n_edges;i++) {
432     all_cc[n_faces+i] = edges[i];
433   }
434   ierr = PetscFree(faces);CHKERRQ(ierr);
435   ierr = PetscFree(edges);CHKERRQ(ierr);
436 
437   /* map interface's subsets */
438   max_subset_size = 0;
439   for (i=0;i<n_all_cc;i++) {
440     PetscInt subset_size;
441     ierr = ISGetLocalSize(all_cc[i],&subset_size);CHKERRQ(ierr);
442     max_subset_size = PetscMax(max_subset_size,subset_size);
443   }
444   ierr = PetscMalloc5(max_subset_size,&auxmapping,
445                       graph->ncc,&auxlocal_sequential,
446                       graph->ncc,&auxlocal_parallel,
447                       graph->ncc,&index_sequential,
448                       graph->ncc,&index_parallel);CHKERRQ(ierr);
449 
450   /* if threshold is negative, uses all sequential problems */
451   if (pcbddc->deluxe_threshold < 0) pcbddc->deluxe_threshold = max_subset_size;
452 
453   /* workspace */
454   ierr = PetscBTCreate(pcis->n,&bitmask);CHKERRQ(ierr);
455   ierr = ISGetIndices(pcis->is_I_local,(const PetscInt**)&idxs);CHKERRQ(ierr);
456   for (i=0;i<pcis->n-pcis->n_B;i++) {
457     ierr = PetscBTSet(bitmask,idxs[i]);CHKERRQ(ierr);
458   }
459   ierr = ISRestoreIndices(pcis->is_I_local,(const PetscInt**)&idxs);CHKERRQ(ierr);
460 
461   /* determine which problem has to be solved in parallel or sequentially */
462   n_local_sequential_problems = 0;
463   n_local_parallel_problems = 0;
464   for (i=0;i<n_all_cc;i++) {
465     PetscInt subset_size,j,min_loc = 0;
466 
467     ierr = ISGetLocalSize(all_cc[i],&subset_size);CHKERRQ(ierr);
468     ierr = ISGetIndices(all_cc[i],(const PetscInt**)&idxs);CHKERRQ(ierr);
469     for (j=0;j<subset_size;j++) {
470       ierr = PetscBTSet(bitmask,idxs[j]);CHKERRQ(ierr);
471     }
472     ierr = ISLocalToGlobalMappingApply(graph->l2gmap,subset_size,idxs,auxmapping);CHKERRQ(ierr);
473     for (j=1;j<subset_size;j++) {
474       if (auxmapping[j]<auxmapping[min_loc]) {
475         min_loc = j;
476       }
477     }
478     if (subset_size > pcbddc->deluxe_threshold) {
479       index_parallel[n_local_parallel_problems] = i;
480       auxlocal_parallel[n_local_parallel_problems] = idxs[min_loc];
481       n_local_parallel_problems++;
482     } else {
483       index_sequential[n_local_sequential_problems] = i;
484       auxlocal_sequential[n_local_sequential_problems] = idxs[min_loc];
485       n_local_sequential_problems++;
486     }
487     ierr = ISRestoreIndices(all_cc[i],(const PetscInt**)&idxs);CHKERRQ(ierr);
488   }
489 
490   /* diagonal scaling on interface dofs not contained in cc */
491   deluxe_ctx->n_simple = 0;
492   for (i=0;i<pcis->n;i++) {
493     if (!PetscBTLookup(bitmask,i)) {
494       deluxe_ctx->n_simple++;
495     }
496   }
497   ierr = PetscMalloc1(deluxe_ctx->n_simple,&deluxe_ctx->idx_simple_B);CHKERRQ(ierr);
498   deluxe_ctx->n_simple = 0;
499   for (i=0;i<pcis->n;i++) {
500     if (!PetscBTLookup(bitmask,i)) {
501       deluxe_ctx->idx_simple_B[deluxe_ctx->n_simple++] = i;
502     }
503   }
504   ierr = ISGlobalToLocalMappingApply(pcis->BtoNmap,IS_GTOLM_DROP,deluxe_ctx->n_simple,deluxe_ctx->idx_simple_B,&i,deluxe_ctx->idx_simple_B);CHKERRQ(ierr);
505   if (i != deluxe_ctx->n_simple) {
506     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error when mapping simple scaling dofs! %d != %d",i,deluxe_ctx->n_simple);
507   }
508   ierr = PetscBTDestroy(&bitmask);CHKERRQ(ierr);
509 
510   /* SetUp local schur complements on subsets TODO better reuse procedure */
511   if (!sub_schurs->n_subs) {
512     Mat       S_j;
513     PetscBool free_used_adj;
514     PetscInt  *used_xadj,*used_adjncy;
515 
516     /* decide the adjacency to be used for determining internal problems for local schur on subsets */
517     free_used_adj = PETSC_FALSE;
518     if (pcbddc->deluxe_layers == -1) {
519       used_xadj = NULL;
520       used_adjncy = NULL;
521     } else {
522       if ((pcbddc->deluxe_use_useradj && pcbddc->mat_graph->xadj) || !pcbddc->deluxe_compute_rowadj) {
523         used_xadj = pcbddc->mat_graph->xadj;
524         used_adjncy = pcbddc->mat_graph->adjncy;
525       } else {
526         Mat            mat_adj;
527         PetscBool      flg_row=PETSC_TRUE;
528         const PetscInt *xadj,*adjncy;
529         PetscInt       nvtxs;
530 
531         ierr = MatConvert(pcbddc->local_mat,MATMPIADJ,MAT_INITIAL_MATRIX,&mat_adj);CHKERRQ(ierr);
532         ierr = MatGetRowIJ(mat_adj,0,PETSC_TRUE,PETSC_FALSE,&nvtxs,&xadj,&adjncy,&flg_row);CHKERRQ(ierr);
533         if (!flg_row) {
534           SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in MatGetRowIJ called in %s\n",__FUNCT__);
535         }
536         ierr = PetscMalloc2(nvtxs+1,&used_xadj,xadj[nvtxs],&used_adjncy);CHKERRQ(ierr);
537         ierr = PetscMemcpy(used_xadj,xadj,(nvtxs+1)*sizeof(*xadj));CHKERRQ(ierr);
538         ierr = PetscMemcpy(used_adjncy,adjncy,(xadj[nvtxs])*sizeof(*adjncy));CHKERRQ(ierr);
539         ierr = MatRestoreRowIJ(mat_adj,0,PETSC_TRUE,PETSC_FALSE,&nvtxs,&xadj,&adjncy,&flg_row);CHKERRQ(ierr);
540         if (!flg_row) {
541           SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in MatRestoreRowIJ called in %s\n",__FUNCT__);
542         }
543         ierr = MatDestroy(&mat_adj);CHKERRQ(ierr);
544         free_used_adj = PETSC_TRUE;
545       }
546     }
547 
548     /* Create Schur complement matrix */
549     ierr = MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&S_j);CHKERRQ(ierr);
550     ierr = MatSchurComplementSetKSP(S_j,pcbddc->ksp_D);CHKERRQ(ierr);
551 
552     /* setup Schur complements on subsets */
553     ierr = PCBDDCSubSchursSetUp(sub_schurs,S_j,pcis->is_I_local,pcis->is_B_local,n_all_cc,all_cc,used_xadj,used_adjncy,pcbddc->deluxe_layers);CHKERRQ(ierr);
554     ierr = MatDestroy(&S_j);CHKERRQ(ierr);
555     /* free adjacency */
556     if (free_used_adj) {
557       ierr = PetscFree2(used_xadj,used_adjncy);CHKERRQ(ierr);
558     }
559   }
560   for (i=0;i<n_all_cc;i++) {
561     ierr = ISDestroy(&all_cc[i]);CHKERRQ(ierr);
562   }
563   ierr = PetscFree(all_cc);CHKERRQ(ierr);
564 
565   /* Number parallel problems */
566   auxglobal_parallel = 0;
567   ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)pc),graph->l2gmap,n_local_parallel_problems,auxlocal_parallel,PETSC_NULL,&n_parallel_problems,&auxglobal_parallel);CHKERRQ(ierr);
568   if (pcbddc->dbg_flag) {
569     ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Deluxe global number of parallel subproblems: %d\n",n_parallel_problems);
570   }
571 
572   /* Compute data structures to solve parallel problems */
573   ierr = PCBDDCScalingSetUp_Deluxe_Par(pc,n_local_parallel_problems,n_parallel_problems,auxglobal_parallel,index_parallel);CHKERRQ(ierr);
574   ierr = PetscFree(auxglobal_parallel);CHKERRQ(ierr);
575 
576 
577   /* Number sequential problems */
578   auxglobal_sequential = 0;
579   ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)pc),graph->l2gmap,n_local_sequential_problems,auxlocal_sequential,PETSC_NULL,&n_sequential_problems,&auxglobal_sequential);CHKERRQ(ierr);
580   if (pcbddc->dbg_flag) {
581     ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Deluxe global number of sequential subproblems: %d\n",n_sequential_problems);
582   }
583 
584   /* Compute data structures to solve sequential problems */
585   ierr = PCBDDCScalingSetUp_Deluxe_Seq(pc,n_local_sequential_problems,n_sequential_problems,auxglobal_sequential,index_sequential);CHKERRQ(ierr);
586   ierr = PetscFree(auxglobal_sequential);CHKERRQ(ierr);
587 
588   /* free workspace */
589   ierr = PetscFree5(auxmapping,auxlocal_sequential,auxlocal_parallel,index_sequential,index_parallel);CHKERRQ(ierr);
590 #else
591 
592   /* decide the adjacency to be used for determining internal problems for local schur on subsets */
593   free_used_adj = PETSC_FALSE;
594   if (pcbddc->deluxe_layers == -1) {
595     used_xadj = NULL;
596     used_adjncy = NULL;
597   } else {
598     if ((pcbddc->deluxe_use_useradj && pcbddc->mat_graph->xadj) || !pcbddc->deluxe_compute_rowadj) {
599       used_xadj = pcbddc->mat_graph->xadj;
600       used_adjncy = pcbddc->mat_graph->adjncy;
601     } else {
602       Mat            mat_adj;
603       PetscBool      flg_row=PETSC_TRUE;
604       const PetscInt *xadj,*adjncy;
605       PetscInt       nvtxs;
606 
607       ierr = MatConvert(pcbddc->local_mat,MATMPIADJ,MAT_INITIAL_MATRIX,&mat_adj);CHKERRQ(ierr);
608       ierr = MatGetRowIJ(mat_adj,0,PETSC_TRUE,PETSC_FALSE,&nvtxs,&xadj,&adjncy,&flg_row);CHKERRQ(ierr);
609       if (!flg_row) {
610         SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in MatGetRowIJ called in %s\n",__FUNCT__);
611       }
612       ierr = PetscMalloc2(nvtxs+1,&used_xadj,xadj[nvtxs],&used_adjncy);CHKERRQ(ierr);
613       ierr = PetscMemcpy(used_xadj,xadj,(nvtxs+1)*sizeof(*xadj));CHKERRQ(ierr);
614       ierr = PetscMemcpy(used_adjncy,adjncy,(xadj[nvtxs])*sizeof(*adjncy));CHKERRQ(ierr);
615       ierr = MatRestoreRowIJ(mat_adj,0,PETSC_TRUE,PETSC_FALSE,&nvtxs,&xadj,&adjncy,&flg_row);CHKERRQ(ierr);
616       if (!flg_row) {
617         SETERRQ1(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in MatRestoreRowIJ called in %s\n",__FUNCT__);
618       }
619       ierr = MatDestroy(&mat_adj);CHKERRQ(ierr);
620       free_used_adj = PETSC_TRUE;
621     }
622   }
623 
624 
625   /* Create Schur complement matrix */
626   ierr = MatCreateSchurComplement(pcis->A_II,pcis->A_II,pcis->A_IB,pcis->A_BI,pcis->A_BB,&S_j);CHKERRQ(ierr);
627   ierr = MatSchurComplementSetKSP(S_j,pcbddc->ksp_D);CHKERRQ(ierr);
628 
629   /* sub_schurs init */ /* TODO reuse adaptive one if valid (i.e. pcbddc->local_mat == matis->A and same graph info (HOW?) ) */
630   ierr = PCBDDCSubSchursInit(sub_schurs,pcbddc->local_mat,S_j,pcis->is_I_local,pcis->is_B_local,graph,pcbddc->deluxe_threshold);CHKERRQ(ierr);
631   ierr = MatDestroy(&S_j);CHKERRQ(ierr);
632   ierr = PCBDDCSubSchursSetUpNew(sub_schurs,used_xadj,used_adjncy,pcbddc->deluxe_layers);CHKERRQ(ierr);
633 
634   /* Compute data structures to solve parallel problems */
635   ierr = PCBDDCScalingSetUp_Deluxe_Par(pc,sub_schurs->n_subs_par,sub_schurs->n_subs_par_g,
636                                        sub_schurs->auxglobal_parallel,
637                                        sub_schurs->index_parallel);CHKERRQ(ierr);
638   /* Compute data structures to solve sequential problems */
639   ierr = PCBDDCScalingSetUp_Deluxe_Seq(pc,sub_schurs->n_subs_seq,sub_schurs->n_subs_seq_g,
640                                        sub_schurs->auxglobal_sequential,
641                                        sub_schurs->index_sequential);CHKERRQ(ierr);
642   /* free adjacency */
643   if (free_used_adj) {
644     ierr = PetscFree2(used_xadj,used_adjncy);CHKERRQ(ierr);
645   }
646 
647   /* diagonal scaling on interface dofs not contained in cc */
648   ierr = PetscBTCreate(pcis->n,&bitmask);CHKERRQ(ierr);
649   ierr = ISGetIndices(pcis->is_I_local,&idxs);CHKERRQ(ierr);
650   for (i=0;i<pcis->n-pcis->n_B;i++) {
651     ierr = PetscBTSet(bitmask,idxs[i]);CHKERRQ(ierr);
652   }
653   ierr = ISRestoreIndices(pcis->is_I_local,&idxs);CHKERRQ(ierr);
654 
655   for (i=0;i<sub_schurs->n_subs;i++) {
656     PetscInt subset_size,j;
657 
658     ierr = ISGetLocalSize(sub_schurs->is_subs[i],&subset_size);CHKERRQ(ierr);
659     ierr = ISGetIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr);
660     for (j=0;j<subset_size;j++) {
661       ierr = PetscBTSet(bitmask,idxs[j]);CHKERRQ(ierr);
662     }
663     ierr = ISRestoreIndices(sub_schurs->is_subs[i],&idxs);CHKERRQ(ierr);
664   }
665 
666   deluxe_ctx->n_simple = 0;
667   for (i=0;i<pcis->n;i++) {
668     if (!PetscBTLookup(bitmask,i)) {
669       deluxe_ctx->n_simple++;
670     }
671   }
672   ierr = PetscMalloc1(deluxe_ctx->n_simple,&deluxe_ctx->idx_simple_B);CHKERRQ(ierr);
673   deluxe_ctx->n_simple = 0;
674   for (i=0;i<pcis->n;i++) {
675     if (!PetscBTLookup(bitmask,i)) {
676       deluxe_ctx->idx_simple_B[deluxe_ctx->n_simple++] = i;
677     }
678   }
679   ierr = ISGlobalToLocalMappingApply(pcis->BtoNmap,IS_GTOLM_DROP,deluxe_ctx->n_simple,deluxe_ctx->idx_simple_B,&i,deluxe_ctx->idx_simple_B);CHKERRQ(ierr);
680   if (i != deluxe_ctx->n_simple) {
681     SETERRQ2(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error when mapping simple scaling dofs! %d != %d",i,deluxe_ctx->n_simple);
682   }
683   ierr = PetscBTDestroy(&bitmask);CHKERRQ(ierr);
684 
685 #endif
686   /* free graph struct */
687   if (pcbddc->deluxe_rebuild) {
688     ierr = PCBDDCGraphDestroy(&graph);CHKERRQ(ierr);
689   }
690   PetscFunctionReturn(0);
691 }
692 
693 #undef __FUNCT__
694 #define __FUNCT__ "PCBDDCScalingSetUp_Deluxe_Par"
695 static PetscErrorCode PCBDDCScalingSetUp_Deluxe_Par(PC pc, PetscInt n_local_parallel_problems,PetscInt n_parallel_problems,PetscInt global_parallel[],PetscInt index_parallel[])
696 {
697   PC_BDDC                *pcbddc=(PC_BDDC*)pc->data;
698   PCBDDCDeluxeScaling    deluxe_ctx=pcbddc->deluxe_ctx;
699   /* coloring */
700   Mat                    parallel_problems;
701   MatColoring            coloring_obj;
702   ISColoring             coloring_parallel_problems;
703   IS                     *par_is_colors,*is_colors;
704   /* working stuff */
705   PetscInt               i,j;
706   PetscErrorCode         ierr;
707 
708   PetscFunctionBegin;
709   if (!n_parallel_problems) {
710     PetscFunctionReturn(0);
711   }
712   /* Color parallel subproblems */
713   ierr = MatCreate(PetscObjectComm((PetscObject)pc),&parallel_problems);CHKERRQ(ierr);
714   ierr = MatSetSizes(parallel_problems,PETSC_DECIDE,PETSC_DECIDE,n_parallel_problems,n_parallel_problems);CHKERRQ(ierr);
715   ierr = MatSetType(parallel_problems,MATAIJ);CHKERRQ(ierr);
716   ierr = MatSetUp(parallel_problems);CHKERRQ(ierr);
717   ierr = MatSetOption(parallel_problems,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
718   ierr = MatSetOption(parallel_problems,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_FALSE);CHKERRQ(ierr);
719   for (i=0;i<n_local_parallel_problems;i++) {
720     PetscInt row = global_parallel[i];
721     for (j=0;j<n_local_parallel_problems;j++) {
722       PetscInt col = global_parallel[j];
723       if (row != col) {
724         ierr = MatSetValue(parallel_problems,row,col,1.0,INSERT_VALUES);CHKERRQ(ierr);
725       }
726     }
727   }
728   ierr = MatAssemblyBegin(parallel_problems,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
729   ierr = MatAssemblyEnd(parallel_problems,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
730   if (pcbddc->dbg_flag > 1) {
731     ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
732     ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Adj matrix for deluxe parallel problems\n");CHKERRQ(ierr);
733     ierr = MatView(parallel_problems,pcbddc->dbg_viewer);CHKERRQ(ierr);
734   }
735   ierr = MatColoringCreate(parallel_problems,&coloring_obj);CHKERRQ(ierr);
736   ierr = MatColoringSetDistance(coloring_obj,1);CHKERRQ(ierr);
737   ierr = MatColoringSetType(coloring_obj,MATCOLORINGJP);CHKERRQ(ierr);
738   ierr = MatColoringApply(coloring_obj,&coloring_parallel_problems);CHKERRQ(ierr);
739   ierr = ISColoringGetIS(coloring_parallel_problems,&deluxe_ctx->par_colors,&par_is_colors);CHKERRQ(ierr);
740   if (pcbddc->dbg_flag) {
741     ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
742     ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Number of colors %d for parallel part of deluxe\n",deluxe_ctx->par_colors);CHKERRQ(ierr);
743   }
744 
745   /* all procs should know the color distribution */
746   ierr = PetscMalloc1(deluxe_ctx->par_colors,&is_colors);CHKERRQ(ierr);
747   for (i=0;i<deluxe_ctx->par_colors;i++) {
748     if (pcbddc->dbg_flag) {
749       ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Global problem indexes for color %d\n",i);CHKERRQ(ierr);
750       ierr = ISView(par_is_colors[i],pcbddc->dbg_viewer);CHKERRQ(ierr);
751       ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
752     }
753     ierr = ISAllGather(par_is_colors[i],&is_colors[i]);CHKERRQ(ierr);
754   }
755 
756   /* free unneeded objects */
757   ierr = ISColoringRestoreIS(coloring_parallel_problems,&par_is_colors);CHKERRQ(ierr);
758   ierr = ISColoringDestroy(&coloring_parallel_problems);CHKERRQ(ierr);
759   ierr = MatColoringDestroy(&coloring_obj);CHKERRQ(ierr);
760   ierr = MatDestroy(&parallel_problems);CHKERRQ(ierr);
761 
762   /* allocate deluxe arrays for parallel problems */
763   ierr = PetscMalloc5(deluxe_ctx->par_colors,&deluxe_ctx->par_ksp,
764                       deluxe_ctx->par_colors,&deluxe_ctx->par_scctx_s,
765                       deluxe_ctx->par_colors,&deluxe_ctx->par_scctx_p,
766                       deluxe_ctx->par_colors,&deluxe_ctx->par_vec,
767                       deluxe_ctx->par_colors,&deluxe_ctx->par_col2sub);CHKERRQ(ierr);
768 
769   /* cycle on colors */
770   for (i=0;i<deluxe_ctx->par_colors;i++) {
771     PetscSubcomm    par_subcomm;
772     const PetscInt* idxs_subproblems;
773     PetscInt        color_size;
774     PetscMPIInt     rank,active_color;
775 
776     /* get local index of i-th parallel colored problem */
777     ierr = ISGetLocalSize(is_colors[i],&color_size);CHKERRQ(ierr);
778     ierr = ISGetIndices(is_colors[i],&idxs_subproblems);CHKERRQ(ierr);
779     /* split comm for computing parallel problems for this color */
780     /* Processes not partecipating at this stage will have color = color_size */
781     /* because PetscCommDuplicate does not handle MPI_COMM_NULL */
782     active_color = color_size;
783     deluxe_ctx->par_col2sub[i] = -1;
784     for (j=0;j<n_local_parallel_problems;j++) {
785       PetscInt local_idx;
786       ierr = PetscFindInt(global_parallel[j],color_size,idxs_subproblems,&local_idx);CHKERRQ(ierr);
787       if (local_idx > -1) {
788         ierr = PetscMPIIntCast(local_idx,&active_color);CHKERRQ(ierr);
789         deluxe_ctx->par_col2sub[i] = index_parallel[j];
790         break;
791       }
792     }
793     ierr = ISRestoreIndices(is_colors[i],&idxs_subproblems);CHKERRQ(ierr);
794     ierr = PetscSubcommCreate(PetscObjectComm((PetscObject)pc),&par_subcomm);CHKERRQ(ierr);
795     ierr = PetscSubcommSetNumber(par_subcomm,color_size+1);CHKERRQ(ierr);
796     ierr = MPI_Comm_rank(PetscObjectComm((PetscObject)pc),&rank);CHKERRQ(ierr);
797     ierr = PetscSubcommSetTypeGeneral(par_subcomm,active_color,rank);CHKERRQ(ierr);
798     /* print debug info */
799     if (pcbddc->dbg_flag) {
800       PetscMPIInt crank,csize;
801       ierr = MPI_Comm_rank(par_subcomm->comm,&crank);CHKERRQ(ierr);
802       ierr = MPI_Comm_size(par_subcomm->comm,&csize);CHKERRQ(ierr);
803       ierr = PetscViewerASCIIPrintf(pcbddc->dbg_viewer,"Color %d: size %d, details follows.\n",i,color_size);CHKERRQ(ierr);
804       ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
805       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
806       ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"  Subdomain %d: color in subcomm %d (rank %d out of %d) (lidx %d)\n",PetscGlobalRank,par_subcomm->color,crank,csize,deluxe_ctx->par_col2sub[i]);CHKERRQ(ierr);
807       ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
808     }
809 
810     if (deluxe_ctx->par_col2sub[i] >= 0) {
811       PC                     pctemp;
812       PC_IS                  *pcis=(PC_IS*)pc->data;
813       Mat                    color_mat,color_mat_is,temp_mat;
814       ISLocalToGlobalMapping WtoNmap,l2gmap_subset;
815       IS                     is_local_numbering,isB_local,isW_local,isW;
816       PCBDDCSubSchurs        sub_schurs = pcbddc->sub_schurs[1];
817       PetscInt               subidx,n_local_dofs,n_global_dofs;
818       PetscInt               *global_numbering,*local_numbering;
819       char                   ksp_prefix[256];
820       size_t                 len;
821 
822       /* Local index for schur complement on subset */
823       subidx = deluxe_ctx->par_col2sub[i];
824 
825       /* Parallel numbering for dofs in colored subset */
826       ierr = ISSum(sub_schurs->is_AEj_I[subidx],sub_schurs->is_AEj_B[subidx],&is_local_numbering);CHKERRQ(ierr);
827       ierr = ISGetLocalSize(is_local_numbering,&n_local_dofs);CHKERRQ(ierr);
828       ierr = ISGetIndices(is_local_numbering,(const PetscInt **)&local_numbering);CHKERRQ(ierr);
829       ierr = PCBDDCSubsetNumbering(par_subcomm->comm,pcbddc->mat_graph->l2gmap,n_local_dofs,local_numbering,PETSC_NULL,&n_global_dofs,&global_numbering);CHKERRQ(ierr);
830       ierr = ISRestoreIndices(is_local_numbering,(const PetscInt **)&local_numbering);CHKERRQ(ierr);
831 
832       /* L2Gmap from relevant dofs to local dofs */
833       ierr = ISLocalToGlobalMappingCreateIS(is_local_numbering,&WtoNmap);CHKERRQ(ierr);
834 
835       /* L2Gmap from local to global dofs */
836       ierr = ISLocalToGlobalMappingCreate(par_subcomm->comm,1,n_local_dofs,global_numbering,PETSC_COPY_VALUES,&l2gmap_subset);CHKERRQ(ierr);
837 
838       /* compute parallel matrix (extended dirichlet problem on subset) */
839       ierr = MatCreateIS(par_subcomm->comm,1,PETSC_DECIDE,PETSC_DECIDE,n_global_dofs,n_global_dofs,l2gmap_subset,&color_mat_is);CHKERRQ(ierr);
840       ierr = MatGetSubMatrix(pcbddc->local_mat,is_local_numbering,is_local_numbering,MAT_INITIAL_MATRIX,&temp_mat);CHKERRQ(ierr);
841       ierr = MatISSetLocalMat(color_mat_is,temp_mat);CHKERRQ(ierr);
842       ierr = MatDestroy(&temp_mat);CHKERRQ(ierr);
843       ierr = MatISGetMPIXAIJ(color_mat_is,MAT_INITIAL_MATRIX,&color_mat);CHKERRQ(ierr);
844       ierr = MatDestroy(&color_mat_is);CHKERRQ(ierr);
845 
846       /* work vector for (parallel) extended dirichlet problem */
847       ierr = MatCreateVecs(color_mat,&deluxe_ctx->par_vec[i],NULL);CHKERRQ(ierr);
848 
849       /* compute scatters */
850       /* deluxe_ctx->par_scctx_p[i] extension from local subset to extended dirichlet problem
851          deluxe_ctx->par_scctx_s[i] restriction from local boundary to subset -> simple copy of selected values */
852       ierr = ISGlobalToLocalMappingApplyIS(pcis->BtoNmap,IS_GTOLM_DROP,sub_schurs->is_AEj_B[subidx],&isB_local);CHKERRQ(ierr);
853       ierr = VecScatterCreate(pcbddc->work_scaling,isB_local,sub_schurs->work1[subidx],NULL,&deluxe_ctx->par_scctx_s[i]);CHKERRQ(ierr);
854       ierr = ISGlobalToLocalMappingApplyIS(WtoNmap,IS_GTOLM_DROP,sub_schurs->is_AEj_B[subidx],&isW_local);CHKERRQ(ierr);
855       ierr = ISLocalToGlobalMappingApplyIS(l2gmap_subset,isW_local,&isW);CHKERRQ(ierr);
856       ierr = VecScatterCreate(sub_schurs->work1[subidx],NULL,deluxe_ctx->par_vec[i],isW,&deluxe_ctx->par_scctx_p[i]);CHKERRQ(ierr);
857 
858       /* free objects no longer neeeded */
859       ierr = ISDestroy(&isW);CHKERRQ(ierr);
860       ierr = ISDestroy(&isW_local);CHKERRQ(ierr);
861       ierr = ISDestroy(&isB_local);CHKERRQ(ierr);
862       ierr = ISLocalToGlobalMappingDestroy(&WtoNmap);CHKERRQ(ierr);
863       ierr = ISLocalToGlobalMappingDestroy(&l2gmap_subset);CHKERRQ(ierr);
864       ierr = ISDestroy(&is_local_numbering);CHKERRQ(ierr);
865       ierr = PetscFree(global_numbering);CHKERRQ(ierr);
866 
867       /* KSP for extended dirichlet problem */
868       ierr = KSPCreate(par_subcomm->comm,&deluxe_ctx->par_ksp[i]);CHKERRQ(ierr);
869       ierr = KSPSetOperators(deluxe_ctx->par_ksp[i],color_mat,color_mat);CHKERRQ(ierr);
870       ierr = KSPSetTolerances(deluxe_ctx->par_ksp[i],1.e-12,1.e-12,1.e10,10000);CHKERRQ(ierr);
871       ierr = KSPSetType(deluxe_ctx->par_ksp[i],KSPPREONLY);CHKERRQ(ierr);
872       ierr = KSPGetPC(deluxe_ctx->par_ksp[i],&pctemp);CHKERRQ(ierr);
873       ierr = PCSetType(pctemp,PCREDUNDANT);CHKERRQ(ierr);
874       ierr = PetscStrlen(((PetscObject)(pcbddc->ksp_D))->prefix,&len);CHKERRQ(ierr);
875       len -= 10; /* remove "dirichlet_" */
876       ierr = PetscStrncpy(ksp_prefix,((PetscObject)(pcbddc->ksp_D))->prefix,len+1);CHKERRQ(ierr); /* PetscStrncpy puts a terminating char at the end */
877       ierr = PetscStrcat(ksp_prefix,"deluxe_par_");CHKERRQ(ierr);
878       ierr = KSPSetOptionsPrefix(deluxe_ctx->par_ksp[i],ksp_prefix);CHKERRQ(ierr);
879       ierr = KSPSetFromOptions(deluxe_ctx->par_ksp[i]);CHKERRQ(ierr);
880       ierr = KSPSetUp(deluxe_ctx->par_ksp[i]);CHKERRQ(ierr);
881       ierr = MatDestroy(&color_mat);CHKERRQ(ierr);
882     } else { /* not partecipating in color */
883       deluxe_ctx->par_ksp[i] = 0;
884       deluxe_ctx->par_vec[i] = 0;
885       deluxe_ctx->par_scctx_p[i] = 0;
886       deluxe_ctx->par_scctx_s[i] = 0;
887     }
888     ierr = PetscSubcommDestroy(&par_subcomm);CHKERRQ(ierr);
889   }
890   for (i=0;i<deluxe_ctx->par_colors;i++) {
891     ierr = ISDestroy(&is_colors[i]);CHKERRQ(ierr);
892   }
893   ierr = PetscFree(is_colors);CHKERRQ(ierr);
894 
895   if (pcbddc->dbg_flag) {
896     Vec test_vec;
897     PetscReal error;
898     PCBDDCSubSchurs sub_schurs = pcbddc->sub_schurs[1];
899     /* test partition of unity of coloured schur complements  */
900     for (i=0;i<deluxe_ctx->par_colors;i++) {
901       PetscInt  subidx = deluxe_ctx->par_col2sub[i];
902       PetscBool error_found = PETSC_FALSE;
903       ierr = PetscViewerASCIISynchronizedAllow(pcbddc->dbg_viewer,PETSC_TRUE);CHKERRQ(ierr);
904 
905       if (deluxe_ctx->par_ksp[i]) {
906         /* create random test vec being zero on internal nodes of the extende dirichlet problem */
907         ierr = VecDuplicate(deluxe_ctx->par_vec[i],&test_vec);CHKERRQ(ierr);
908         ierr = VecSetRandom(sub_schurs->work1[subidx],PETSC_NULL);CHKERRQ(ierr);
909         ierr = VecSet(test_vec,0.0);CHKERRQ(ierr);
910         ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
911         ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],test_vec,ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
912         /* w_j */
913         ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],test_vec,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
914         ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],test_vec,sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
915         /* S_j*w_j */
916         ierr = MatMult(sub_schurs->S_Ej[subidx],sub_schurs->work1[subidx],sub_schurs->work2[subidx]);CHKERRQ(ierr);
917         /* \sum_j S_j*w_j */
918         ierr = VecSet(deluxe_ctx->par_vec[i],0.0);CHKERRQ(ierr);
919         ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],sub_schurs->work2[subidx],deluxe_ctx->par_vec[i],ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
920         ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],sub_schurs->work2[subidx],deluxe_ctx->par_vec[i],ADD_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
921         /* (\sum_j S_j)^(-1)(\sum_j S_j*w_j) */
922         ierr = KSPSolve(deluxe_ctx->par_ksp[i],deluxe_ctx->par_vec[i],deluxe_ctx->par_vec[i]);CHKERRQ(ierr);
923         ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
924         ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],deluxe_ctx->par_vec[i],sub_schurs->work1[subidx],INSERT_VALUES,SCATTER_REVERSE);CHKERRQ(ierr);
925         ierr = VecSet(deluxe_ctx->par_vec[i],0.0);CHKERRQ(ierr);
926         ierr = VecScatterBegin(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],deluxe_ctx->par_vec[i],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
927         ierr = VecScatterEnd(deluxe_ctx->par_scctx_p[i],sub_schurs->work1[subidx],deluxe_ctx->par_vec[i],INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
928         /* test partition of unity */
929         ierr = VecAXPY(test_vec,-1.0,deluxe_ctx->par_vec[i]);CHKERRQ(ierr);
930         ierr = VecNorm(test_vec,NORM_INFINITY,&error);CHKERRQ(ierr);
931         if (PetscAbsReal(error) > 1.e-2) {
932           /* ierr = VecView(test_vec,0);CHKERRQ(ierr); */
933           error_found = PETSC_TRUE;
934         }
935         ierr = VecDestroy(&test_vec);CHKERRQ(ierr);
936       }
937       if (error_found) {
938         ierr = PetscViewerASCIISynchronizedPrintf(pcbddc->dbg_viewer,"Error testing local schur for color %d and subdomain %d\n",i,PetscGlobalRank);CHKERRQ(ierr);
939       }
940       ierr = PetscViewerFlush(pcbddc->dbg_viewer);CHKERRQ(ierr);
941     }
942   }
943   PetscFunctionReturn(0);
944 }
945 
946 
947 #undef __FUNCT__
948 #define __FUNCT__ "PCBDDCScalingSetUp_Deluxe_Seq"
949 static PetscErrorCode PCBDDCScalingSetUp_Deluxe_Seq(PC pc,PetscInt n_local_sequential_problems,PetscInt n_sequential_problems,PetscInt global_sequential[],PetscInt local_sequential[])
950 {
951   PC_BDDC                *pcbddc=(PC_BDDC*)pc->data;
952   PCBDDCDeluxeScaling    deluxe_ctx=pcbddc->deluxe_ctx;
953   PCBDDCSubSchurs        sub_schurs = pcbddc->sub_schurs[1];
954   ISLocalToGlobalMapping l2gmap_subsets;
955   Mat                    global_schur_subsets,*submat_global_schur_subsets,work_mat;
956   IS                     is_to,is_from;
957   PetscScalar            *fill_vals;
958   PetscInt               *nnz,*all_local_idx_G,*all_local_idx_B,*all_local_idx_N,*all_permutation_G,*dummy_idx;
959   PetscInt               i,j,local_problem_index;
960   PetscInt               subset_size,max_subset_size;
961   PetscInt               local_size,global_size;
962   PC                     pc_temp;
963   MatSolverPackage       solver=NULL;
964   char                   ksp_prefix[256];
965   size_t                 len;
966   PetscErrorCode         ierr;
967 
968   PetscFunctionBegin;
969   if (!n_sequential_problems) {
970     PetscFunctionReturn(0);
971   }
972 
973   /* Get info on subset sizes and sum of all subsets sizes */
974   max_subset_size = 0;
975   local_size = 0;
976   for (i=0;i<n_local_sequential_problems;i++) {
977     local_problem_index = local_sequential[i];
978     ierr = ISGetLocalSize(sub_schurs->is_AEj_B[local_problem_index],&subset_size);CHKERRQ(ierr);
979     max_subset_size = PetscMax(subset_size,max_subset_size);
980     local_size += subset_size;
981   }
982 
983   /* Work arrays for local indices */
984   ierr = PetscMalloc1(local_size,&all_local_idx_B);CHKERRQ(ierr);
985   ierr = PetscMalloc1(local_size,&all_local_idx_N);CHKERRQ(ierr);
986   ierr = PetscMalloc1(local_size,&nnz);CHKERRQ(ierr);
987 
988   /* Get local indices in local whole numbering and local boundary numbering */
989   local_size = 0;
990   for (i=0;i<n_local_sequential_problems;i++) {
991     PC_IS    *pcis=(PC_IS*)pc->data;
992     PetscInt *idxs;
993     /* get info on local problem */
994     local_problem_index = local_sequential[i];
995     ierr = ISGetLocalSize(sub_schurs->is_AEj_B[local_problem_index],&subset_size);CHKERRQ(ierr);
996     ierr = ISGetIndices(sub_schurs->is_AEj_B[local_problem_index],(const PetscInt**)&idxs);CHKERRQ(ierr);
997     /* subset indices in local numbering */
998     ierr = PetscMemcpy(all_local_idx_N+local_size,idxs,subset_size*sizeof(PetscInt));CHKERRQ(ierr);
999     /* subset indices in local boundary numbering */
1000     ierr = ISGlobalToLocalMappingApply(pcis->BtoNmap,IS_GTOLM_DROP,subset_size,idxs,&j,&all_local_idx_B[local_size]);CHKERRQ(ierr);
1001     ierr = ISRestoreIndices(sub_schurs->is_AEj_B[local_problem_index],(const PetscInt**)&idxs);CHKERRQ(ierr);
1002     if (j != subset_size) {
1003       SETERRQ3(PETSC_COMM_SELF,PETSC_ERR_PLIB,"Error in BDDC deluxe serial %d (BtoNmap)! %d != %d\n",local_problem_index,subset_size,j);
1004     }
1005     for (j=0;j<subset_size;j++) nnz[local_size+j] = subset_size;
1006     local_size += subset_size;
1007   }
1008 
1009   /* Number dofs on all subsets (parallel) and sort numbering */
1010   ierr = PCBDDCSubsetNumbering(PetscObjectComm((PetscObject)pc),pcbddc->mat_graph->l2gmap,local_size,all_local_idx_N,PETSC_NULL,&global_size,&all_local_idx_G);CHKERRQ(ierr);
1011   ierr = PetscMalloc1(local_size,&all_permutation_G);CHKERRQ(ierr);
1012   for (i=0;i<local_size;i++) {
1013     all_permutation_G[i]=i;
1014   }
1015   ierr = PetscSortIntWithPermutation(local_size,all_local_idx_G,all_permutation_G);CHKERRQ(ierr);
1016 
1017   /* Local matrix of all local Schur on subsets */
1018   ierr = MatCreate(PETSC_COMM_SELF,&deluxe_ctx->seq_mat);CHKERRQ(ierr);
1019   ierr = MatSetSizes(deluxe_ctx->seq_mat,PETSC_DECIDE,PETSC_DECIDE,local_size,local_size);CHKERRQ(ierr);
1020   ierr = MatSetType(deluxe_ctx->seq_mat,MATAIJ);CHKERRQ(ierr);
1021   ierr = MatSetOption(deluxe_ctx->seq_mat,MAT_ROW_ORIENTED,PETSC_FALSE);CHKERRQ(ierr);
1022   ierr = MatSeqAIJSetPreallocation(deluxe_ctx->seq_mat,0,nnz);CHKERRQ(ierr);
1023   ierr = PetscFree(nnz);CHKERRQ(ierr);
1024 
1025   /* Work arrays */
1026   ierr = PetscMalloc2(max_subset_size,&dummy_idx,max_subset_size*max_subset_size,&fill_vals);CHKERRQ(ierr);
1027 
1028   /* Loop on local problems to compute Schur complements explicitly */
1029   local_size = 0;
1030   for (i=0;i<n_local_sequential_problems;i++) {
1031     /* get info on local problem */
1032     local_problem_index = local_sequential[i];
1033     ierr = ISGetLocalSize(sub_schurs->is_AEj_B[local_problem_index],&subset_size);CHKERRQ(ierr);
1034     /* local Schur */
1035     for (j=0;j<subset_size;j++) {
1036       ierr = VecSet(sub_schurs->work1[local_problem_index],0.0);CHKERRQ(ierr);
1037       ierr = VecSetValue(sub_schurs->work1[local_problem_index],j,1.0,INSERT_VALUES);CHKERRQ(ierr);
1038       ierr = VecPlaceArray(sub_schurs->work2[local_problem_index],&fill_vals[j*subset_size]);CHKERRQ(ierr);
1039       ierr = MatMult(sub_schurs->S_Ej[local_problem_index],sub_schurs->work1[local_problem_index],sub_schurs->work2[local_problem_index]);CHKERRQ(ierr);
1040       ierr = VecResetArray(sub_schurs->work2[local_problem_index]);CHKERRQ(ierr);
1041     }
1042     for (j=0;j<subset_size;j++) {
1043       dummy_idx[j]=local_size+j;
1044     }
1045     ierr = MatSetValues(deluxe_ctx->seq_mat,subset_size,dummy_idx,subset_size,dummy_idx,fill_vals,INSERT_VALUES);CHKERRQ(ierr);
1046     local_size += subset_size;
1047   }
1048   ierr = PetscFree2(dummy_idx,fill_vals);CHKERRQ(ierr);
1049   ierr = MatAssemblyBegin(deluxe_ctx->seq_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1050   ierr = MatAssemblyEnd(deluxe_ctx->seq_mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1051 
1052   /* Global matrix of all assembled Schur on subsets */
1053   ierr = ISLocalToGlobalMappingCreate(PetscObjectComm((PetscObject)pc),1,local_size,all_local_idx_G,PETSC_COPY_VALUES,&l2gmap_subsets);CHKERRQ(ierr);
1054   ierr = MatCreateIS(PetscObjectComm((PetscObject)pc),1,PETSC_DECIDE,PETSC_DECIDE,global_size,global_size,l2gmap_subsets,&work_mat);CHKERRQ(ierr);
1055   ierr = MatISSetLocalMat(work_mat,deluxe_ctx->seq_mat);CHKERRQ(ierr);
1056   ierr = MatISGetMPIXAIJ(work_mat,MAT_INITIAL_MATRIX,&global_schur_subsets);CHKERRQ(ierr);
1057   ierr = MatDestroy(&work_mat);CHKERRQ(ierr);
1058 
1059   /* Create work vectors for sequential part of deluxe */
1060   ierr = MatCreateVecs(deluxe_ctx->seq_mat,&deluxe_ctx->seq_work1,&deluxe_ctx->seq_work2);CHKERRQ(ierr);
1061 
1062   /* Compute deluxe sequential scatter */
1063   ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_B,PETSC_OWN_POINTER,&is_from);CHKERRQ(ierr);
1064   ierr = VecScatterCreate(pcbddc->work_scaling,is_from,deluxe_ctx->seq_work1,NULL,&deluxe_ctx->seq_scctx);CHKERRQ(ierr);
1065   ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1066 
1067   /* Get local part of (\sum_j S_Ej) */
1068   for (i=0;i<local_size;i++) {
1069     all_local_idx_N[i] = all_local_idx_G[all_permutation_G[i]];
1070   }
1071   ierr = ISCreateGeneral(PetscObjectComm((PetscObject)pc),local_size,all_local_idx_N,PETSC_OWN_POINTER,&is_to);CHKERRQ(ierr);
1072   ierr = MatGetSubMatrices(global_schur_subsets,1,&is_to,&is_to,MAT_INITIAL_MATRIX,&submat_global_schur_subsets);CHKERRQ(ierr);
1073   ierr = MatDestroy(&global_schur_subsets);CHKERRQ(ierr);
1074   ierr = ISDestroy(&is_to);CHKERRQ(ierr);
1075   for (i=0;i<local_size;i++) {
1076     all_local_idx_G[all_permutation_G[i]] = i;
1077   }
1078   ierr = ISCreateGeneral(PETSC_COMM_SELF,local_size,all_local_idx_G,PETSC_OWN_POINTER,&is_from);CHKERRQ(ierr);
1079   ierr = ISSetPermutation(is_from);CHKERRQ(ierr);
1080   ierr = MatPermute(submat_global_schur_subsets[0],is_from,is_from,&work_mat);CHKERRQ(ierr);
1081   ierr = MatDestroyMatrices(1,&submat_global_schur_subsets);CHKERRQ(ierr);
1082   ierr = ISDestroy(&is_from);CHKERRQ(ierr);
1083   ierr = PetscFree(all_permutation_G);CHKERRQ(ierr);
1084 
1085   /* Create KSP object for sequential part of deluxe scaling */
1086   ierr = KSPCreate(PETSC_COMM_SELF,&deluxe_ctx->seq_ksp);CHKERRQ(ierr);
1087   ierr = KSPSetOperators(deluxe_ctx->seq_ksp,work_mat,work_mat);CHKERRQ(ierr);
1088   ierr = KSPSetType(deluxe_ctx->seq_ksp,KSPPREONLY);CHKERRQ(ierr);
1089   ierr = KSPGetPC(deluxe_ctx->seq_ksp,&pc_temp);CHKERRQ(ierr);
1090   ierr = PCSetType(pc_temp,PCLU);CHKERRQ(ierr);
1091   ierr = KSPGetPC(pcbddc->ksp_D,&pc_temp);CHKERRQ(ierr);
1092   ierr = PCFactorGetMatSolverPackage(pc_temp,(const MatSolverPackage*)&solver);CHKERRQ(ierr);
1093   if (solver && local_size) { /* if local_size is null, some external packages will report errors */
1094     PC     new_pc;
1095     PCType type;
1096     ierr = PCGetType(pc_temp,&type);CHKERRQ(ierr);
1097     ierr = KSPGetPC(deluxe_ctx->seq_ksp,&new_pc);CHKERRQ(ierr);
1098     ierr = PCSetType(new_pc,type);CHKERRQ(ierr);
1099     ierr = PCFactorSetMatSolverPackage(new_pc,solver);CHKERRQ(ierr);
1100   }
1101   ierr = PetscStrlen(((PetscObject)(pcbddc->ksp_D))->prefix,&len);CHKERRQ(ierr);
1102   len -= 10; /* remove "dirichlet_" */
1103   ierr = PetscStrncpy(ksp_prefix,((PetscObject)(pcbddc->ksp_D))->prefix,len+1);CHKERRQ(ierr);
1104   ierr = PetscStrcat(ksp_prefix,"deluxe_seq_");CHKERRQ(ierr);
1105   ierr = KSPSetOptionsPrefix(deluxe_ctx->seq_ksp,ksp_prefix);CHKERRQ(ierr);
1106   if (local_size) {
1107     ierr = KSPSetFromOptions(deluxe_ctx->seq_ksp);CHKERRQ(ierr);
1108   }
1109   ierr = KSPSetUp(deluxe_ctx->seq_ksp);CHKERRQ(ierr);
1110   ierr = MatDestroy(&work_mat);CHKERRQ(ierr);
1111   PetscFunctionReturn(0);
1112 }
1113