xref: /petsc/src/mat/impls/baij/seq/baij.c (revision 6a8be23ea090b6de9945884a7fc11b82fba3e182)
1 
2 /*
3     Defines the basic matrix operations for the BAIJ (compressed row)
4   matrix storage format.
5 */
6 #include <../src/mat/impls/baij/seq/baij.h>  /*I   "petscmat.h"  I*/
7 #include <petscblaslapack.h>
8 #include <petsc/private/kernels/blockinvert.h>
9 #include <petsc/private/kernels/blockmatmult.h>
10 
11 #if defined(PETSC_HAVE_HYPRE)
12 PETSC_INTERN PetscErrorCode MatConvert_AIJ_HYPRE(Mat,MatType,MatReuse,Mat*);
13 #endif
14 
15 #if defined(PETSC_HAVE_MKL_SPARSE_OPTIMIZE)
16 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqBAIJMKL(Mat,MatType,MatReuse,Mat*);
17 #endif
18 PETSC_INTERN PetscErrorCode MatConvert_XAIJ_IS(Mat,MatType,MatReuse,Mat*);
19 
20 PetscErrorCode MatGetColumnReductions_SeqBAIJ(Mat A,PetscInt type,PetscReal *reductions)
21 {
22   Mat_SeqBAIJ    *a_aij = (Mat_SeqBAIJ*) A->data;
23   PetscInt       m,n,i;
24   PetscInt       ib,jb,bs = A->rmap->bs;
25   MatScalar      *a_val = a_aij->a;
26 
27   PetscFunctionBegin;
28   PetscCall(MatGetSize(A,&m,&n));
29   for (i=0; i<n; i++) reductions[i] = 0.0;
30   if (type == NORM_2) {
31     for (i=a_aij->i[0]; i<a_aij->i[A->rmap->n/bs]; i++) {
32       for (jb=0; jb<bs; jb++) {
33         for (ib=0; ib<bs; ib++) {
34           reductions[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val * *a_val);
35           a_val++;
36         }
37       }
38     }
39   } else if (type == NORM_1) {
40     for (i=a_aij->i[0]; i<a_aij->i[A->rmap->n/bs]; i++) {
41       for (jb=0; jb<bs; jb++) {
42         for (ib=0; ib<bs; ib++) {
43           reductions[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscAbsScalar(*a_val);
44           a_val++;
45         }
46       }
47     }
48   } else if (type == NORM_INFINITY) {
49     for (i=a_aij->i[0]; i<a_aij->i[A->rmap->n/bs]; i++) {
50       for (jb=0; jb<bs; jb++) {
51         for (ib=0; ib<bs; ib++) {
52           int col = A->cmap->rstart + a_aij->j[i] * bs + jb;
53           reductions[col] = PetscMax(PetscAbsScalar(*a_val), reductions[col]);
54           a_val++;
55         }
56       }
57     }
58   } else if (type == REDUCTION_SUM_REALPART || type == REDUCTION_MEAN_REALPART) {
59     for (i=a_aij->i[0]; i<a_aij->i[A->rmap->n/bs]; i++) {
60       for (jb=0; jb<bs; jb++) {
61         for (ib=0; ib<bs; ib++) {
62           reductions[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscRealPart(*a_val);
63           a_val++;
64         }
65       }
66     }
67   } else if (type == REDUCTION_SUM_IMAGINARYPART || type == REDUCTION_MEAN_IMAGINARYPART) {
68     for (i=a_aij->i[0]; i<a_aij->i[A->rmap->n/bs]; i++) {
69       for (jb=0; jb<bs; jb++) {
70         for (ib=0; ib<bs; ib++) {
71           reductions[A->cmap->rstart + a_aij->j[i] * bs + jb] += PetscImaginaryPart(*a_val);
72           a_val++;
73         }
74       }
75     }
76   } else SETERRQ(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Unknown reduction type");
77   if (type == NORM_2) {
78     for (i=0; i<n; i++) reductions[i] = PetscSqrtReal(reductions[i]);
79   } else if (type == REDUCTION_MEAN_REALPART || type == REDUCTION_MEAN_IMAGINARYPART) {
80     for (i=0; i<n; i++) reductions[i] /= m;
81   }
82   PetscFunctionReturn(0);
83 }
84 
85 PetscErrorCode MatInvertBlockDiagonal_SeqBAIJ(Mat A,const PetscScalar **values)
86 {
87   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*) A->data;
88   PetscInt       *diag_offset,i,bs = A->rmap->bs,mbs = a->mbs,ipvt[5],bs2 = bs*bs,*v_pivots;
89   MatScalar      *v    = a->a,*odiag,*diag,work[25],*v_work;
90   PetscReal      shift = 0.0;
91   PetscBool      allowzeropivot,zeropivotdetected=PETSC_FALSE;
92 
93   PetscFunctionBegin;
94   allowzeropivot = PetscNot(A->erroriffailure);
95 
96   if (a->idiagvalid) {
97     if (values) *values = a->idiag;
98     PetscFunctionReturn(0);
99   }
100   PetscCall(MatMarkDiagonal_SeqBAIJ(A));
101   diag_offset = a->diag;
102   if (!a->idiag) {
103     PetscCall(PetscMalloc1(bs2*mbs,&a->idiag));
104     PetscCall(PetscLogObjectMemory((PetscObject)A,bs2*mbs*sizeof(PetscScalar)));
105   }
106   diag  = a->idiag;
107   if (values) *values = a->idiag;
108   /* factor and invert each block */
109   switch (bs) {
110   case 1:
111     for (i=0; i<mbs; i++) {
112       odiag    = v + 1*diag_offset[i];
113       diag[0]  = odiag[0];
114 
115       if (PetscAbsScalar(diag[0] + shift) < PETSC_MACHINE_EPSILON) {
116         if (allowzeropivot) {
117           A->factorerrortype             = MAT_FACTOR_NUMERIC_ZEROPIVOT;
118           A->factorerror_zeropivot_value = PetscAbsScalar(diag[0]);
119           A->factorerror_zeropivot_row   = i;
120           PetscCall(PetscInfo(A,"Zero pivot, row %" PetscInt_FMT "\n",i));
121         } else SETERRQ(PETSC_COMM_SELF,PETSC_ERR_MAT_LU_ZRPVT,"Zero pivot, row %" PetscInt_FMT " pivot value %g tolerance %g",i,(double)PetscAbsScalar(diag[0]),(double)PETSC_MACHINE_EPSILON);
122       }
123 
124       diag[0]  = (PetscScalar)1.0 / (diag[0] + shift);
125       diag    += 1;
126     }
127     break;
128   case 2:
129     for (i=0; i<mbs; i++) {
130       odiag    = v + 4*diag_offset[i];
131       diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
132       PetscCall(PetscKernel_A_gets_inverse_A_2(diag,shift,allowzeropivot,&zeropivotdetected));
133       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
134       diag    += 4;
135     }
136     break;
137   case 3:
138     for (i=0; i<mbs; i++) {
139       odiag    = v + 9*diag_offset[i];
140       diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
141       diag[4]  = odiag[4]; diag[5] = odiag[5]; diag[6] = odiag[6]; diag[7] = odiag[7];
142       diag[8]  = odiag[8];
143       PetscCall(PetscKernel_A_gets_inverse_A_3(diag,shift,allowzeropivot,&zeropivotdetected));
144       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
145       diag    += 9;
146     }
147     break;
148   case 4:
149     for (i=0; i<mbs; i++) {
150       odiag  = v + 16*diag_offset[i];
151       PetscCall(PetscArraycpy(diag,odiag,16));
152       PetscCall(PetscKernel_A_gets_inverse_A_4(diag,shift,allowzeropivot,&zeropivotdetected));
153       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
154       diag  += 16;
155     }
156     break;
157   case 5:
158     for (i=0; i<mbs; i++) {
159       odiag  = v + 25*diag_offset[i];
160       PetscCall(PetscArraycpy(diag,odiag,25));
161       PetscCall(PetscKernel_A_gets_inverse_A_5(diag,ipvt,work,shift,allowzeropivot,&zeropivotdetected));
162       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
163       diag  += 25;
164     }
165     break;
166   case 6:
167     for (i=0; i<mbs; i++) {
168       odiag  = v + 36*diag_offset[i];
169       PetscCall(PetscArraycpy(diag,odiag,36));
170       PetscCall(PetscKernel_A_gets_inverse_A_6(diag,shift,allowzeropivot,&zeropivotdetected));
171       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
172       diag  += 36;
173     }
174     break;
175   case 7:
176     for (i=0; i<mbs; i++) {
177       odiag  = v + 49*diag_offset[i];
178       PetscCall(PetscArraycpy(diag,odiag,49));
179       PetscCall(PetscKernel_A_gets_inverse_A_7(diag,shift,allowzeropivot,&zeropivotdetected));
180       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
181       diag  += 49;
182     }
183     break;
184   default:
185     PetscCall(PetscMalloc2(bs,&v_work,bs,&v_pivots));
186     for (i=0; i<mbs; i++) {
187       odiag  = v + bs2*diag_offset[i];
188       PetscCall(PetscArraycpy(diag,odiag,bs2));
189       PetscCall(PetscKernel_A_gets_inverse_A(bs,diag,v_pivots,v_work,allowzeropivot,&zeropivotdetected));
190       if (zeropivotdetected) A->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
191       diag  += bs2;
192     }
193     PetscCall(PetscFree2(v_work,v_pivots));
194   }
195   a->idiagvalid = PETSC_TRUE;
196   PetscFunctionReturn(0);
197 }
198 
199 PetscErrorCode MatSOR_SeqBAIJ(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
200 {
201   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
202   PetscScalar       *x,*work,*w,*workt,*t;
203   const MatScalar   *v,*aa = a->a, *idiag;
204   const PetscScalar *b,*xb;
205   PetscScalar       s[7], xw[7]={0}; /* avoid some compilers thinking xw is uninitialized */
206   PetscInt          m = a->mbs,i,i2,nz,bs = A->rmap->bs,bs2 = bs*bs,k,j,idx,it;
207   const PetscInt    *diag,*ai = a->i,*aj = a->j,*vi;
208 
209   PetscFunctionBegin;
210   its = its*lits;
211   PetscCheck(!(flag & SOR_EISENSTAT),PETSC_COMM_SELF,PETSC_ERR_SUP,"No support yet for Eisenstat");
212   PetscCheck(its > 0,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Relaxation requires global its %" PetscInt_FMT " and local its %" PetscInt_FMT " both positive",its,lits);
213   PetscCheck(!fshift,PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for diagonal shift");
214   PetscCheck(omega == 1.0,PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for non-trivial relaxation factor");
215   PetscCheck(!(flag & SOR_APPLY_UPPER) && !(flag & SOR_APPLY_LOWER),PETSC_COMM_SELF,PETSC_ERR_SUP,"No support for applying upper or lower triangular parts");
216 
217   if (!a->idiagvalid) PetscCall(MatInvertBlockDiagonal(A,NULL));
218 
219   if (!m) PetscFunctionReturn(0);
220   diag  = a->diag;
221   idiag = a->idiag;
222   k    = PetscMax(A->rmap->n,A->cmap->n);
223   if (!a->mult_work) {
224     PetscCall(PetscMalloc1(k+1,&a->mult_work));
225   }
226   if (!a->sor_workt) {
227     PetscCall(PetscMalloc1(k,&a->sor_workt));
228   }
229   if (!a->sor_work) {
230     PetscCall(PetscMalloc1(bs,&a->sor_work));
231   }
232   work = a->mult_work;
233   t    = a->sor_workt;
234   w    = a->sor_work;
235 
236   PetscCall(VecGetArray(xx,&x));
237   PetscCall(VecGetArrayRead(bb,&b));
238 
239   if (flag & SOR_ZERO_INITIAL_GUESS) {
240     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
241       switch (bs) {
242       case 1:
243         PetscKernel_v_gets_A_times_w_1(x,idiag,b);
244         t[0] = b[0];
245         i2     = 1;
246         idiag += 1;
247         for (i=1; i<m; i++) {
248           v  = aa + ai[i];
249           vi = aj + ai[i];
250           nz = diag[i] - ai[i];
251           s[0] = b[i2];
252           for (j=0; j<nz; j++) {
253             xw[0] = x[vi[j]];
254             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
255           }
256           t[i2] = s[0];
257           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
258           x[i2]  = xw[0];
259           idiag += 1;
260           i2    += 1;
261         }
262         break;
263       case 2:
264         PetscKernel_v_gets_A_times_w_2(x,idiag,b);
265         t[0] = b[0]; t[1] = b[1];
266         i2     = 2;
267         idiag += 4;
268         for (i=1; i<m; i++) {
269           v  = aa + 4*ai[i];
270           vi = aj + ai[i];
271           nz = diag[i] - ai[i];
272           s[0] = b[i2]; s[1] = b[i2+1];
273           for (j=0; j<nz; j++) {
274             idx = 2*vi[j];
275             it  = 4*j;
276             xw[0] = x[idx]; xw[1] = x[1+idx];
277             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
278           }
279           t[i2] = s[0]; t[i2+1] = s[1];
280           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
281           x[i2]   = xw[0]; x[i2+1] = xw[1];
282           idiag  += 4;
283           i2     += 2;
284         }
285         break;
286       case 3:
287         PetscKernel_v_gets_A_times_w_3(x,idiag,b);
288         t[0] = b[0]; t[1] = b[1]; t[2] = b[2];
289         i2     = 3;
290         idiag += 9;
291         for (i=1; i<m; i++) {
292           v  = aa + 9*ai[i];
293           vi = aj + ai[i];
294           nz = diag[i] - ai[i];
295           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2];
296           while (nz--) {
297             idx = 3*(*vi++);
298             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
299             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
300             v  += 9;
301           }
302           t[i2] = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2];
303           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
304           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
305           idiag  += 9;
306           i2     += 3;
307         }
308         break;
309       case 4:
310         PetscKernel_v_gets_A_times_w_4(x,idiag,b);
311         t[0] = b[0]; t[1] = b[1]; t[2] = b[2]; t[3] = b[3];
312         i2     = 4;
313         idiag += 16;
314         for (i=1; i<m; i++) {
315           v  = aa + 16*ai[i];
316           vi = aj + ai[i];
317           nz = diag[i] - ai[i];
318           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3];
319           while (nz--) {
320             idx = 4*(*vi++);
321             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
322             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
323             v  += 16;
324           }
325           t[i2] = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2]; t[i2 + 3] = s[3];
326           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
327           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3];
328           idiag  += 16;
329           i2     += 4;
330         }
331         break;
332       case 5:
333         PetscKernel_v_gets_A_times_w_5(x,idiag,b);
334         t[0] = b[0]; t[1] = b[1]; t[2] = b[2]; t[3] = b[3]; t[4] = b[4];
335         i2     = 5;
336         idiag += 25;
337         for (i=1; i<m; i++) {
338           v  = aa + 25*ai[i];
339           vi = aj + ai[i];
340           nz = diag[i] - ai[i];
341           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4];
342           while (nz--) {
343             idx = 5*(*vi++);
344             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
345             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
346             v  += 25;
347           }
348           t[i2] = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2]; t[i2+3] = s[3]; t[i2+4] = s[4];
349           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
350           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4];
351           idiag  += 25;
352           i2     += 5;
353         }
354         break;
355       case 6:
356         PetscKernel_v_gets_A_times_w_6(x,idiag,b);
357         t[0] = b[0]; t[1] = b[1]; t[2] = b[2]; t[3] = b[3]; t[4] = b[4]; t[5] = b[5];
358         i2     = 6;
359         idiag += 36;
360         for (i=1; i<m; i++) {
361           v  = aa + 36*ai[i];
362           vi = aj + ai[i];
363           nz = diag[i] - ai[i];
364           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5];
365           while (nz--) {
366             idx = 6*(*vi++);
367             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
368             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
369             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
370             v  += 36;
371           }
372           t[i2]   = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2];
373           t[i2+3] = s[3]; t[i2+4] = s[4]; t[i2+5] = s[5];
374           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
375           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5];
376           idiag  += 36;
377           i2     += 6;
378         }
379         break;
380       case 7:
381         PetscKernel_v_gets_A_times_w_7(x,idiag,b);
382         t[0] = b[0]; t[1] = b[1]; t[2] = b[2];
383         t[3] = b[3]; t[4] = b[4]; t[5] = b[5]; t[6] = b[6];
384         i2     = 7;
385         idiag += 49;
386         for (i=1; i<m; i++) {
387           v  = aa + 49*ai[i];
388           vi = aj + ai[i];
389           nz = diag[i] - ai[i];
390           s[0] = b[i2];   s[1] = b[i2+1]; s[2] = b[i2+2];
391           s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5]; s[6] = b[i2+6];
392           while (nz--) {
393             idx = 7*(*vi++);
394             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
395             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
396             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
397             v  += 49;
398           }
399           t[i2]   = s[0]; t[i2+1] = s[1]; t[i2+2] = s[2];
400           t[i2+3] = s[3]; t[i2+4] = s[4]; t[i2+5] = s[5]; t[i2+6] = s[6];
401           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
402           x[i2] =   xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
403           x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5]; x[i2+6] = xw[6];
404           idiag  += 49;
405           i2     += 7;
406         }
407         break;
408       default:
409         PetscKernel_w_gets_Ar_times_v(bs,bs,b,idiag,x);
410         PetscCall(PetscArraycpy(t,b,bs));
411         i2     = bs;
412         idiag += bs2;
413         for (i=1; i<m; i++) {
414           v  = aa + bs2*ai[i];
415           vi = aj + ai[i];
416           nz = diag[i] - ai[i];
417 
418           PetscCall(PetscArraycpy(w,b+i2,bs));
419           /* copy all rows of x that are needed into contiguous space */
420           workt = work;
421           for (j=0; j<nz; j++) {
422             PetscCall(PetscArraycpy(workt,x + bs*(*vi++),bs));
423             workt += bs;
424           }
425           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
426           PetscCall(PetscArraycpy(t+i2,w,bs));
427           PetscKernel_w_gets_Ar_times_v(bs,bs,w,idiag,x+i2);
428 
429           idiag += bs2;
430           i2    += bs;
431         }
432         break;
433       }
434       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
435       PetscCall(PetscLogFlops(1.0*bs2*a->nz));
436       xb = t;
437     }
438     else xb = b;
439     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
440       idiag = a->idiag+bs2*(a->mbs-1);
441       i2 = bs * (m-1);
442       switch (bs) {
443       case 1:
444         s[0]  = xb[i2];
445         PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
446         x[i2] = xw[0];
447         i2   -= 1;
448         for (i=m-2; i>=0; i--) {
449           v  = aa + (diag[i]+1);
450           vi = aj + diag[i] + 1;
451           nz = ai[i+1] - diag[i] - 1;
452           s[0] = xb[i2];
453           for (j=0; j<nz; j++) {
454             xw[0] = x[vi[j]];
455             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
456           }
457           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
458           x[i2]  = xw[0];
459           idiag -= 1;
460           i2    -= 1;
461         }
462         break;
463       case 2:
464         s[0]  = xb[i2]; s[1] = xb[i2+1];
465         PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
466         x[i2] = xw[0]; x[i2+1] = xw[1];
467         i2    -= 2;
468         idiag -= 4;
469         for (i=m-2; i>=0; i--) {
470           v  = aa + 4*(diag[i] + 1);
471           vi = aj + diag[i] + 1;
472           nz = ai[i+1] - diag[i] - 1;
473           s[0] = xb[i2]; s[1] = xb[i2+1];
474           for (j=0; j<nz; j++) {
475             idx = 2*vi[j];
476             it  = 4*j;
477             xw[0] = x[idx]; xw[1] = x[1+idx];
478             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
479           }
480           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
481           x[i2]   = xw[0]; x[i2+1] = xw[1];
482           idiag  -= 4;
483           i2     -= 2;
484         }
485         break;
486       case 3:
487         s[0]  = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2];
488         PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
489         x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
490         i2    -= 3;
491         idiag -= 9;
492         for (i=m-2; i>=0; i--) {
493           v  = aa + 9*(diag[i]+1);
494           vi = aj + diag[i] + 1;
495           nz = ai[i+1] - diag[i] - 1;
496           s[0] = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2];
497           while (nz--) {
498             idx = 3*(*vi++);
499             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
500             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
501             v  += 9;
502           }
503           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
504           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
505           idiag  -= 9;
506           i2     -= 3;
507         }
508         break;
509       case 4:
510         s[0]  = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3];
511         PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
512         x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3];
513         i2    -= 4;
514         idiag -= 16;
515         for (i=m-2; i>=0; i--) {
516           v  = aa + 16*(diag[i]+1);
517           vi = aj + diag[i] + 1;
518           nz = ai[i+1] - diag[i] - 1;
519           s[0] = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3];
520           while (nz--) {
521             idx = 4*(*vi++);
522             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
523             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
524             v  += 16;
525           }
526           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
527           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3];
528           idiag  -= 16;
529           i2     -= 4;
530         }
531         break;
532       case 5:
533         s[0]  = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3]; s[4] = xb[i2+4];
534         PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
535         x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4];
536         i2    -= 5;
537         idiag -= 25;
538         for (i=m-2; i>=0; i--) {
539           v  = aa + 25*(diag[i]+1);
540           vi = aj + diag[i] + 1;
541           nz = ai[i+1] - diag[i] - 1;
542           s[0] = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3]; s[4] = xb[i2+4];
543           while (nz--) {
544             idx = 5*(*vi++);
545             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
546             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
547             v  += 25;
548           }
549           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
550           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4];
551           idiag  -= 25;
552           i2     -= 5;
553         }
554         break;
555       case 6:
556         s[0]  = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3]; s[4] = xb[i2+4]; s[5] = xb[i2+5];
557         PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
558         x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5];
559         i2    -= 6;
560         idiag -= 36;
561         for (i=m-2; i>=0; i--) {
562           v  = aa + 36*(diag[i]+1);
563           vi = aj + diag[i] + 1;
564           nz = ai[i+1] - diag[i] - 1;
565           s[0] = xb[i2]; s[1] = xb[i2+1]; s[2] = xb[i2+2]; s[3] = xb[i2+3]; s[4] = xb[i2+4]; s[5] = xb[i2+5];
566           while (nz--) {
567             idx = 6*(*vi++);
568             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
569             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
570             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
571             v  += 36;
572           }
573           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
574           x[i2] = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2]; x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5];
575           idiag  -= 36;
576           i2     -= 6;
577         }
578         break;
579       case 7:
580         s[0] = xb[i2];   s[1] = xb[i2+1]; s[2] = xb[i2+2];
581         s[3] = xb[i2+3]; s[4] = xb[i2+4]; s[5] = xb[i2+5]; s[6] = xb[i2+6];
582         PetscKernel_v_gets_A_times_w_7(x,idiag,b);
583         x[i2]   = xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
584         x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5]; x[i2+6] = xw[6];
585         i2    -= 7;
586         idiag -= 49;
587         for (i=m-2; i>=0; i--) {
588           v  = aa + 49*(diag[i]+1);
589           vi = aj + diag[i] + 1;
590           nz = ai[i+1] - diag[i] - 1;
591           s[0] = xb[i2];   s[1] = xb[i2+1]; s[2] = xb[i2+2];
592           s[3] = xb[i2+3]; s[4] = xb[i2+4]; s[5] = xb[i2+5]; s[6] = xb[i2+6];
593           while (nz--) {
594             idx = 7*(*vi++);
595             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
596             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
597             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
598             v  += 49;
599           }
600           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
601           x[i2] =   xw[0]; x[i2+1] = xw[1]; x[i2+2] = xw[2];
602           x[i2+3] = xw[3]; x[i2+4] = xw[4]; x[i2+5] = xw[5]; x[i2+6] = xw[6];
603           idiag  -= 49;
604           i2     -= 7;
605         }
606         break;
607       default:
608         PetscCall(PetscArraycpy(w,xb+i2,bs));
609         PetscKernel_w_gets_Ar_times_v(bs,bs,w,idiag,x+i2);
610         i2    -= bs;
611         idiag -= bs2;
612         for (i=m-2; i>=0; i--) {
613           v  = aa + bs2*(diag[i]+1);
614           vi = aj + diag[i] + 1;
615           nz = ai[i+1] - diag[i] - 1;
616 
617           PetscCall(PetscArraycpy(w,xb+i2,bs));
618           /* copy all rows of x that are needed into contiguous space */
619           workt = work;
620           for (j=0; j<nz; j++) {
621             PetscCall(PetscArraycpy(workt,x + bs*(*vi++),bs));
622             workt += bs;
623           }
624           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
625           PetscKernel_w_gets_Ar_times_v(bs,bs,w,idiag,x+i2);
626 
627           idiag -= bs2;
628           i2    -= bs;
629         }
630         break;
631       }
632       PetscCall(PetscLogFlops(1.0*bs2*(a->nz)));
633     }
634     its--;
635   }
636   while (its--) {
637     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) {
638       idiag = a->idiag;
639       i2 = 0;
640       switch (bs) {
641       case 1:
642         for (i=0; i<m; i++) {
643           v  = aa + ai[i];
644           vi = aj + ai[i];
645           nz = ai[i+1] - ai[i];
646           s[0] = b[i2];
647           for (j=0; j<nz; j++) {
648             xw[0] = x[vi[j]];
649             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
650           }
651           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
652           x[i2] += xw[0];
653           idiag += 1;
654           i2    += 1;
655         }
656         break;
657       case 2:
658         for (i=0; i<m; i++) {
659           v  = aa + 4*ai[i];
660           vi = aj + ai[i];
661           nz = ai[i+1] - ai[i];
662           s[0] = b[i2]; s[1] = b[i2+1];
663           for (j=0; j<nz; j++) {
664             idx = 2*vi[j];
665             it  = 4*j;
666             xw[0] = x[idx]; xw[1] = x[1+idx];
667             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
668           }
669           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
670           x[i2]  += xw[0]; x[i2+1] += xw[1];
671           idiag  += 4;
672           i2     += 2;
673         }
674         break;
675       case 3:
676         for (i=0; i<m; i++) {
677           v  = aa + 9*ai[i];
678           vi = aj + ai[i];
679           nz = ai[i+1] - ai[i];
680           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2];
681           while (nz--) {
682             idx = 3*(*vi++);
683             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
684             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
685             v  += 9;
686           }
687           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
688           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
689           idiag  += 9;
690           i2     += 3;
691         }
692         break;
693       case 4:
694         for (i=0; i<m; i++) {
695           v  = aa + 16*ai[i];
696           vi = aj + ai[i];
697           nz = ai[i+1] - ai[i];
698           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3];
699           while (nz--) {
700             idx = 4*(*vi++);
701             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
702             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
703             v  += 16;
704           }
705           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
706           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3];
707           idiag  += 16;
708           i2     += 4;
709         }
710         break;
711       case 5:
712         for (i=0; i<m; i++) {
713           v  = aa + 25*ai[i];
714           vi = aj + ai[i];
715           nz = ai[i+1] - ai[i];
716           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4];
717           while (nz--) {
718             idx = 5*(*vi++);
719             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
720             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
721             v  += 25;
722           }
723           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
724           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3]; x[i2+4] += xw[4];
725           idiag  += 25;
726           i2     += 5;
727         }
728         break;
729       case 6:
730         for (i=0; i<m; i++) {
731           v  = aa + 36*ai[i];
732           vi = aj + ai[i];
733           nz = ai[i+1] - ai[i];
734           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5];
735           while (nz--) {
736             idx = 6*(*vi++);
737             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
738             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
739             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
740             v  += 36;
741           }
742           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
743           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
744           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5];
745           idiag  += 36;
746           i2     += 6;
747         }
748         break;
749       case 7:
750         for (i=0; i<m; i++) {
751           v  = aa + 49*ai[i];
752           vi = aj + ai[i];
753           nz = ai[i+1] - ai[i];
754           s[0] = b[i2];   s[1] = b[i2+1]; s[2] = b[i2+2];
755           s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5]; s[6] = b[i2+6];
756           while (nz--) {
757             idx = 7*(*vi++);
758             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
759             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
760             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
761             v  += 49;
762           }
763           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
764           x[i2]   += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
765           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5]; x[i2+6] += xw[6];
766           idiag  += 49;
767           i2     += 7;
768         }
769         break;
770       default:
771         for (i=0; i<m; i++) {
772           v  = aa + bs2*ai[i];
773           vi = aj + ai[i];
774           nz = ai[i+1] - ai[i];
775 
776           PetscCall(PetscArraycpy(w,b+i2,bs));
777           /* copy all rows of x that are needed into contiguous space */
778           workt = work;
779           for (j=0; j<nz; j++) {
780             PetscCall(PetscArraycpy(workt,x + bs*(*vi++),bs));
781             workt += bs;
782           }
783           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
784           PetscKernel_w_gets_w_plus_Ar_times_v(bs,bs,w,idiag,x+i2);
785 
786           idiag += bs2;
787           i2    += bs;
788         }
789         break;
790       }
791       PetscCall(PetscLogFlops(2.0*bs2*a->nz));
792     }
793     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
794       idiag = a->idiag+bs2*(a->mbs-1);
795       i2 = bs * (m-1);
796       switch (bs) {
797       case 1:
798         for (i=m-1; i>=0; i--) {
799           v  = aa + ai[i];
800           vi = aj + ai[i];
801           nz = ai[i+1] - ai[i];
802           s[0] = b[i2];
803           for (j=0; j<nz; j++) {
804             xw[0] = x[vi[j]];
805             PetscKernel_v_gets_v_minus_A_times_w_1(s,(v+j),xw);
806           }
807           PetscKernel_v_gets_A_times_w_1(xw,idiag,s);
808           x[i2] += xw[0];
809           idiag -= 1;
810           i2    -= 1;
811         }
812         break;
813       case 2:
814         for (i=m-1; i>=0; i--) {
815           v  = aa + 4*ai[i];
816           vi = aj + ai[i];
817           nz = ai[i+1] - ai[i];
818           s[0] = b[i2]; s[1] = b[i2+1];
819           for (j=0; j<nz; j++) {
820             idx = 2*vi[j];
821             it  = 4*j;
822             xw[0] = x[idx]; xw[1] = x[1+idx];
823             PetscKernel_v_gets_v_minus_A_times_w_2(s,(v+it),xw);
824           }
825           PetscKernel_v_gets_A_times_w_2(xw,idiag,s);
826           x[i2]  += xw[0]; x[i2+1] += xw[1];
827           idiag  -= 4;
828           i2     -= 2;
829         }
830         break;
831       case 3:
832         for (i=m-1; i>=0; i--) {
833           v  = aa + 9*ai[i];
834           vi = aj + ai[i];
835           nz = ai[i+1] - ai[i];
836           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2];
837           while (nz--) {
838             idx = 3*(*vi++);
839             xw[0] = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx];
840             PetscKernel_v_gets_v_minus_A_times_w_3(s,v,xw);
841             v  += 9;
842           }
843           PetscKernel_v_gets_A_times_w_3(xw,idiag,s);
844           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
845           idiag  -= 9;
846           i2     -= 3;
847         }
848         break;
849       case 4:
850         for (i=m-1; i>=0; i--) {
851           v  = aa + 16*ai[i];
852           vi = aj + ai[i];
853           nz = ai[i+1] - ai[i];
854           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3];
855           while (nz--) {
856             idx = 4*(*vi++);
857             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx];
858             PetscKernel_v_gets_v_minus_A_times_w_4(s,v,xw);
859             v  += 16;
860           }
861           PetscKernel_v_gets_A_times_w_4(xw,idiag,s);
862           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3];
863           idiag  -= 16;
864           i2     -= 4;
865         }
866         break;
867       case 5:
868         for (i=m-1; i>=0; i--) {
869           v  = aa + 25*ai[i];
870           vi = aj + ai[i];
871           nz = ai[i+1] - ai[i];
872           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4];
873           while (nz--) {
874             idx = 5*(*vi++);
875             xw[0]  = x[idx]; xw[1] = x[1+idx]; xw[2] = x[2+idx]; xw[3] = x[3+idx]; xw[4] = x[4+idx];
876             PetscKernel_v_gets_v_minus_A_times_w_5(s,v,xw);
877             v  += 25;
878           }
879           PetscKernel_v_gets_A_times_w_5(xw,idiag,s);
880           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2]; x[i2+3] += xw[3]; x[i2+4] += xw[4];
881           idiag  -= 25;
882           i2     -= 5;
883         }
884         break;
885       case 6:
886         for (i=m-1; i>=0; i--) {
887           v  = aa + 36*ai[i];
888           vi = aj + ai[i];
889           nz = ai[i+1] - ai[i];
890           s[0] = b[i2]; s[1] = b[i2+1]; s[2] = b[i2+2]; s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5];
891           while (nz--) {
892             idx = 6*(*vi++);
893             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
894             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx];
895             PetscKernel_v_gets_v_minus_A_times_w_6(s,v,xw);
896             v  += 36;
897           }
898           PetscKernel_v_gets_A_times_w_6(xw,idiag,s);
899           x[i2] += xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
900           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5];
901           idiag  -= 36;
902           i2     -= 6;
903         }
904         break;
905       case 7:
906         for (i=m-1; i>=0; i--) {
907           v  = aa + 49*ai[i];
908           vi = aj + ai[i];
909           nz = ai[i+1] - ai[i];
910           s[0] = b[i2];   s[1] = b[i2+1]; s[2] = b[i2+2];
911           s[3] = b[i2+3]; s[4] = b[i2+4]; s[5] = b[i2+5]; s[6] = b[i2+6];
912           while (nz--) {
913             idx = 7*(*vi++);
914             xw[0] = x[idx];   xw[1] = x[1+idx]; xw[2] = x[2+idx];
915             xw[3] = x[3+idx]; xw[4] = x[4+idx]; xw[5] = x[5+idx]; xw[6] = x[6+idx];
916             PetscKernel_v_gets_v_minus_A_times_w_7(s,v,xw);
917             v  += 49;
918           }
919           PetscKernel_v_gets_A_times_w_7(xw,idiag,s);
920           x[i2] +=   xw[0]; x[i2+1] += xw[1]; x[i2+2] += xw[2];
921           x[i2+3] += xw[3]; x[i2+4] += xw[4]; x[i2+5] += xw[5]; x[i2+6] += xw[6];
922           idiag  -= 49;
923           i2     -= 7;
924         }
925         break;
926       default:
927         for (i=m-1; i>=0; i--) {
928           v  = aa + bs2*ai[i];
929           vi = aj + ai[i];
930           nz = ai[i+1] - ai[i];
931 
932           PetscCall(PetscArraycpy(w,b+i2,bs));
933           /* copy all rows of x that are needed into contiguous space */
934           workt = work;
935           for (j=0; j<nz; j++) {
936             PetscCall(PetscArraycpy(workt,x + bs*(*vi++),bs));
937             workt += bs;
938           }
939           PetscKernel_w_gets_w_minus_Ar_times_v(bs,bs*nz,w,v,work);
940           PetscKernel_w_gets_w_plus_Ar_times_v(bs,bs,w,idiag,x+i2);
941 
942           idiag -= bs2;
943           i2    -= bs;
944         }
945         break;
946       }
947       PetscCall(PetscLogFlops(2.0*bs2*(a->nz)));
948     }
949   }
950   PetscCall(VecRestoreArray(xx,&x));
951   PetscCall(VecRestoreArrayRead(bb,&b));
952   PetscFunctionReturn(0);
953 }
954 
955 /*
956     Special version for direct calls from Fortran (Used in PETSc-fun3d)
957 */
958 #if defined(PETSC_HAVE_FORTRAN_CAPS)
959 #define matsetvaluesblocked4_ MATSETVALUESBLOCKED4
960 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
961 #define matsetvaluesblocked4_ matsetvaluesblocked4
962 #endif
963 
964 PETSC_EXTERN void matsetvaluesblocked4_(Mat *AA,PetscInt *mm,const PetscInt im[],PetscInt *nn,const PetscInt in[],const PetscScalar v[])
965 {
966   Mat               A  = *AA;
967   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
968   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,N,m = *mm,n = *nn;
969   PetscInt          *ai    =a->i,*ailen=a->ilen;
970   PetscInt          *aj    =a->j,stepval,lastcol = -1;
971   const PetscScalar *value = v;
972   MatScalar         *ap,*aa = a->a,*bap;
973 
974   PetscFunctionBegin;
975   if (A->rmap->bs != 4) SETERRABORT(PetscObjectComm((PetscObject)A),PETSC_ERR_ARG_WRONG,"Can only be called with a block size of 4");
976   stepval = (n-1)*4;
977   for (k=0; k<m; k++) { /* loop over added rows */
978     row  = im[k];
979     rp   = aj + ai[row];
980     ap   = aa + 16*ai[row];
981     nrow = ailen[row];
982     low  = 0;
983     high = nrow;
984     for (l=0; l<n; l++) { /* loop over added columns */
985       col = in[l];
986       if (col <= lastcol)  low = 0;
987       else                high = nrow;
988       lastcol = col;
989       value   = v + k*(stepval+4 + l)*4;
990       while (high-low > 7) {
991         t = (low+high)/2;
992         if (rp[t] > col) high = t;
993         else             low  = t;
994       }
995       for (i=low; i<high; i++) {
996         if (rp[i] > col) break;
997         if (rp[i] == col) {
998           bap = ap +  16*i;
999           for (ii=0; ii<4; ii++,value+=stepval) {
1000             for (jj=ii; jj<16; jj+=4) {
1001               bap[jj] += *value++;
1002             }
1003           }
1004           goto noinsert2;
1005         }
1006       }
1007       N = nrow++ - 1;
1008       high++; /* added new column index thus must search to one higher than before */
1009       /* shift up all the later entries in this row */
1010       for (ii=N; ii>=i; ii--) {
1011         rp[ii+1] = rp[ii];
1012         PetscCallVoid(PetscArraycpy(ap+16*(ii+1),ap+16*(ii),16));
1013       }
1014       if (N >= i) {
1015         PetscCallVoid(PetscArrayzero(ap+16*i,16));
1016       }
1017       rp[i] = col;
1018       bap   = ap +  16*i;
1019       for (ii=0; ii<4; ii++,value+=stepval) {
1020         for (jj=ii; jj<16; jj+=4) {
1021           bap[jj] = *value++;
1022         }
1023       }
1024       noinsert2:;
1025       low = i;
1026     }
1027     ailen[row] = nrow;
1028   }
1029   PetscFunctionReturnVoid();
1030 }
1031 
1032 #if defined(PETSC_HAVE_FORTRAN_CAPS)
1033 #define matsetvalues4_ MATSETVALUES4
1034 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
1035 #define matsetvalues4_ matsetvalues4
1036 #endif
1037 
1038 PETSC_EXTERN void matsetvalues4_(Mat *AA,PetscInt *mm,PetscInt *im,PetscInt *nn,PetscInt *in,PetscScalar *v)
1039 {
1040   Mat         A  = *AA;
1041   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1042   PetscInt    *rp,k,low,high,t,row,nrow,i,col,l,N,n = *nn,m = *mm;
1043   PetscInt    *ai=a->i,*ailen=a->ilen;
1044   PetscInt    *aj=a->j,brow,bcol;
1045   PetscInt    ridx,cidx,lastcol = -1;
1046   MatScalar   *ap,value,*aa=a->a,*bap;
1047 
1048   PetscFunctionBegin;
1049   for (k=0; k<m; k++) { /* loop over added rows */
1050     row  = im[k]; brow = row/4;
1051     rp   = aj + ai[brow];
1052     ap   = aa + 16*ai[brow];
1053     nrow = ailen[brow];
1054     low  = 0;
1055     high = nrow;
1056     for (l=0; l<n; l++) { /* loop over added columns */
1057       col   = in[l]; bcol = col/4;
1058       ridx  = row % 4; cidx = col % 4;
1059       value = v[l + k*n];
1060       if (col <= lastcol)  low = 0;
1061       else                high = nrow;
1062       lastcol = col;
1063       while (high-low > 7) {
1064         t = (low+high)/2;
1065         if (rp[t] > bcol) high = t;
1066         else              low  = t;
1067       }
1068       for (i=low; i<high; i++) {
1069         if (rp[i] > bcol) break;
1070         if (rp[i] == bcol) {
1071           bap   = ap +  16*i + 4*cidx + ridx;
1072           *bap += value;
1073           goto noinsert1;
1074         }
1075       }
1076       N = nrow++ - 1;
1077       high++; /* added new column thus must search to one higher than before */
1078       /* shift up all the later entries in this row */
1079       PetscCallVoid(PetscArraymove(rp+i+1,rp+i,N-i+1));
1080       PetscCallVoid(PetscArraymove(ap+16*i+16,ap+16*i,16*(N-i+1)));
1081       PetscCallVoid(PetscArrayzero(ap+16*i,16));
1082       rp[i]                    = bcol;
1083       ap[16*i + 4*cidx + ridx] = value;
1084 noinsert1:;
1085       low = i;
1086     }
1087     ailen[brow] = nrow;
1088   }
1089   PetscFunctionReturnVoid();
1090 }
1091 
1092 /*
1093      Checks for missing diagonals
1094 */
1095 PetscErrorCode MatMissingDiagonal_SeqBAIJ(Mat A,PetscBool  *missing,PetscInt *d)
1096 {
1097   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1098   PetscInt       *diag,*ii = a->i,i;
1099 
1100   PetscFunctionBegin;
1101   PetscCall(MatMarkDiagonal_SeqBAIJ(A));
1102   *missing = PETSC_FALSE;
1103   if (A->rmap->n > 0 && !ii) {
1104     *missing = PETSC_TRUE;
1105     if (d) *d = 0;
1106     PetscCall(PetscInfo(A,"Matrix has no entries therefore is missing diagonal\n"));
1107   } else {
1108     PetscInt n;
1109     n = PetscMin(a->mbs, a->nbs);
1110     diag = a->diag;
1111     for (i=0; i<n; i++) {
1112       if (diag[i] >= ii[i+1]) {
1113         *missing = PETSC_TRUE;
1114         if (d) *d = i;
1115         PetscCall(PetscInfo(A,"Matrix is missing block diagonal number %" PetscInt_FMT "\n",i));
1116         break;
1117       }
1118     }
1119   }
1120   PetscFunctionReturn(0);
1121 }
1122 
1123 PetscErrorCode MatMarkDiagonal_SeqBAIJ(Mat A)
1124 {
1125   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1126   PetscInt       i,j,m = a->mbs;
1127 
1128   PetscFunctionBegin;
1129   if (!a->diag) {
1130     PetscCall(PetscMalloc1(m,&a->diag));
1131     PetscCall(PetscLogObjectMemory((PetscObject)A,m*sizeof(PetscInt)));
1132     a->free_diag = PETSC_TRUE;
1133   }
1134   for (i=0; i<m; i++) {
1135     a->diag[i] = a->i[i+1];
1136     for (j=a->i[i]; j<a->i[i+1]; j++) {
1137       if (a->j[j] == i) {
1138         a->diag[i] = j;
1139         break;
1140       }
1141     }
1142   }
1143   PetscFunctionReturn(0);
1144 }
1145 
1146 static PetscErrorCode MatGetRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool blockcompressed,PetscInt *nn,const PetscInt *inia[],const PetscInt *inja[],PetscBool  *done)
1147 {
1148   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1149   PetscInt       i,j,n = a->mbs,nz = a->i[n],*tia,*tja,bs = A->rmap->bs,k,l,cnt;
1150   PetscInt       **ia = (PetscInt**)inia,**ja = (PetscInt**)inja;
1151 
1152   PetscFunctionBegin;
1153   *nn = n;
1154   if (!ia) PetscFunctionReturn(0);
1155   if (symmetric) {
1156     PetscCall(MatToSymmetricIJ_SeqAIJ(n,a->i,a->j,PETSC_TRUE,0,0,&tia,&tja));
1157     nz   = tia[n];
1158   } else {
1159     tia = a->i; tja = a->j;
1160   }
1161 
1162   if (!blockcompressed && bs > 1) {
1163     (*nn) *= bs;
1164     /* malloc & create the natural set of indices */
1165     PetscCall(PetscMalloc1((n+1)*bs,ia));
1166     if (n) {
1167       (*ia)[0] = oshift;
1168       for (j=1; j<bs; j++) {
1169         (*ia)[j] = (tia[1]-tia[0])*bs+(*ia)[j-1];
1170       }
1171     }
1172 
1173     for (i=1; i<n; i++) {
1174       (*ia)[i*bs] = (tia[i]-tia[i-1])*bs + (*ia)[i*bs-1];
1175       for (j=1; j<bs; j++) {
1176         (*ia)[i*bs+j] = (tia[i+1]-tia[i])*bs + (*ia)[i*bs+j-1];
1177       }
1178     }
1179     if (n) {
1180       (*ia)[n*bs] = (tia[n]-tia[n-1])*bs + (*ia)[n*bs-1];
1181     }
1182 
1183     if (inja) {
1184       PetscCall(PetscMalloc1(nz*bs*bs,ja));
1185       cnt = 0;
1186       for (i=0; i<n; i++) {
1187         for (j=0; j<bs; j++) {
1188           for (k=tia[i]; k<tia[i+1]; k++) {
1189             for (l=0; l<bs; l++) {
1190               (*ja)[cnt++] = bs*tja[k] + l;
1191             }
1192           }
1193         }
1194       }
1195     }
1196 
1197     if (symmetric) { /* deallocate memory allocated in MatToSymmetricIJ_SeqAIJ() */
1198       PetscCall(PetscFree(tia));
1199       PetscCall(PetscFree(tja));
1200     }
1201   } else if (oshift == 1) {
1202     if (symmetric) {
1203       nz = tia[A->rmap->n/bs];
1204       /*  add 1 to i and j indices */
1205       for (i=0; i<A->rmap->n/bs+1; i++) tia[i] = tia[i] + 1;
1206       *ia = tia;
1207       if (ja) {
1208         for (i=0; i<nz; i++) tja[i] = tja[i] + 1;
1209         *ja = tja;
1210       }
1211     } else {
1212       nz = a->i[A->rmap->n/bs];
1213       /* malloc space and  add 1 to i and j indices */
1214       PetscCall(PetscMalloc1(A->rmap->n/bs+1,ia));
1215       for (i=0; i<A->rmap->n/bs+1; i++) (*ia)[i] = a->i[i] + 1;
1216       if (ja) {
1217         PetscCall(PetscMalloc1(nz,ja));
1218         for (i=0; i<nz; i++) (*ja)[i] = a->j[i] + 1;
1219       }
1220     }
1221   } else {
1222     *ia = tia;
1223     if (ja) *ja = tja;
1224   }
1225   PetscFunctionReturn(0);
1226 }
1227 
1228 static PetscErrorCode MatRestoreRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool blockcompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
1229 {
1230   PetscFunctionBegin;
1231   if (!ia) PetscFunctionReturn(0);
1232   if ((!blockcompressed && A->rmap->bs > 1) || (symmetric || oshift == 1)) {
1233     PetscCall(PetscFree(*ia));
1234     if (ja) PetscCall(PetscFree(*ja));
1235   }
1236   PetscFunctionReturn(0);
1237 }
1238 
1239 PetscErrorCode MatDestroy_SeqBAIJ(Mat A)
1240 {
1241   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1242 
1243   PetscFunctionBegin;
1244 #if defined(PETSC_USE_LOG)
1245   PetscLogObjectState((PetscObject)A,"Rows=%" PetscInt_FMT ", Cols=%" PetscInt_FMT ", NZ=%" PetscInt_FMT,A->rmap->N,A->cmap->n,a->nz);
1246 #endif
1247   PetscCall(MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i));
1248   PetscCall(ISDestroy(&a->row));
1249   PetscCall(ISDestroy(&a->col));
1250   if (a->free_diag) PetscCall(PetscFree(a->diag));
1251   PetscCall(PetscFree(a->idiag));
1252   if (a->free_imax_ilen) PetscCall(PetscFree2(a->imax,a->ilen));
1253   PetscCall(PetscFree(a->solve_work));
1254   PetscCall(PetscFree(a->mult_work));
1255   PetscCall(PetscFree(a->sor_workt));
1256   PetscCall(PetscFree(a->sor_work));
1257   PetscCall(ISDestroy(&a->icol));
1258   PetscCall(PetscFree(a->saved_values));
1259   PetscCall(PetscFree2(a->compressedrow.i,a->compressedrow.rindex));
1260 
1261   PetscCall(MatDestroy(&a->sbaijMat));
1262   PetscCall(MatDestroy(&a->parent));
1263   PetscCall(PetscFree(A->data));
1264 
1265   PetscCall(PetscObjectChangeTypeName((PetscObject)A,NULL));
1266   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJGetArray_C",NULL));
1267   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJRestoreArray_C",NULL));
1268   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C",NULL));
1269   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C",NULL));
1270   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetColumnIndices_C",NULL));
1271   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqaij_C",NULL));
1272   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqsbaij_C",NULL));
1273   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocation_C",NULL));
1274   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocationCSR_C",NULL));
1275   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqbstrm_C",NULL));
1276   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatIsTranspose_C",NULL));
1277 #if defined(PETSC_HAVE_HYPRE)
1278   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_hypre_C",NULL));
1279 #endif
1280   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_is_C",NULL));
1281   PetscCall(PetscObjectComposeFunction((PetscObject)A,"MatFactorGetSolverType_C",NULL));
1282   PetscFunctionReturn(0);
1283 }
1284 
1285 PetscErrorCode MatSetOption_SeqBAIJ(Mat A,MatOption op,PetscBool flg)
1286 {
1287   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1288 
1289   PetscFunctionBegin;
1290   switch (op) {
1291   case MAT_ROW_ORIENTED:
1292     a->roworiented = flg;
1293     break;
1294   case MAT_KEEP_NONZERO_PATTERN:
1295     a->keepnonzeropattern = flg;
1296     break;
1297   case MAT_NEW_NONZERO_LOCATIONS:
1298     a->nonew = (flg ? 0 : 1);
1299     break;
1300   case MAT_NEW_NONZERO_LOCATION_ERR:
1301     a->nonew = (flg ? -1 : 0);
1302     break;
1303   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1304     a->nonew = (flg ? -2 : 0);
1305     break;
1306   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1307     a->nounused = (flg ? -1 : 0);
1308     break;
1309   case MAT_FORCE_DIAGONAL_ENTRIES:
1310   case MAT_IGNORE_OFF_PROC_ENTRIES:
1311   case MAT_USE_HASH_TABLE:
1312   case MAT_SORTED_FULL:
1313     PetscCall(PetscInfo(A,"Option %s ignored\n",MatOptions[op]));
1314     break;
1315   case MAT_SPD:
1316   case MAT_SYMMETRIC:
1317   case MAT_STRUCTURALLY_SYMMETRIC:
1318   case MAT_HERMITIAN:
1319   case MAT_SYMMETRY_ETERNAL:
1320   case MAT_STRUCTURAL_SYMMETRY_ETERNAL:
1321   case MAT_SUBMAT_SINGLEIS:
1322   case MAT_STRUCTURE_ONLY:
1323   case MAT_SPD_ETERNAL:
1324     /* if the diagonal matrix is square it inherits some of the properties above */
1325     break;
1326   default:
1327     SETERRQ(PETSC_COMM_SELF,PETSC_ERR_SUP,"unknown option %d",op);
1328   }
1329   PetscFunctionReturn(0);
1330 }
1331 
1332 /* used for both SeqBAIJ and SeqSBAIJ matrices */
1333 PetscErrorCode MatGetRow_SeqBAIJ_private(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v,PetscInt *ai,PetscInt *aj,PetscScalar *aa)
1334 {
1335   PetscInt       itmp,i,j,k,M,bn,bp,*idx_i,bs,bs2;
1336   MatScalar      *aa_i;
1337   PetscScalar    *v_i;
1338 
1339   PetscFunctionBegin;
1340   bs  = A->rmap->bs;
1341   bs2 = bs*bs;
1342   PetscCheck(row >= 0 && row < A->rmap->N,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %" PetscInt_FMT " out of range", row);
1343 
1344   bn  = row/bs;   /* Block number */
1345   bp  = row % bs; /* Block Position */
1346   M   = ai[bn+1] - ai[bn];
1347   *nz = bs*M;
1348 
1349   if (v) {
1350     *v = NULL;
1351     if (*nz) {
1352       PetscCall(PetscMalloc1(*nz,v));
1353       for (i=0; i<M; i++) { /* for each block in the block row */
1354         v_i  = *v + i*bs;
1355         aa_i = aa + bs2*(ai[bn] + i);
1356         for (j=bp,k=0; j<bs2; j+=bs,k++) v_i[k] = aa_i[j];
1357       }
1358     }
1359   }
1360 
1361   if (idx) {
1362     *idx = NULL;
1363     if (*nz) {
1364       PetscCall(PetscMalloc1(*nz,idx));
1365       for (i=0; i<M; i++) { /* for each block in the block row */
1366         idx_i = *idx + i*bs;
1367         itmp  = bs*aj[ai[bn] + i];
1368         for (j=0; j<bs; j++) idx_i[j] = itmp++;
1369       }
1370     }
1371   }
1372   PetscFunctionReturn(0);
1373 }
1374 
1375 PetscErrorCode MatGetRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1376 {
1377   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1378 
1379   PetscFunctionBegin;
1380   PetscCall(MatGetRow_SeqBAIJ_private(A,row,nz,idx,v,a->i,a->j,a->a));
1381   PetscFunctionReturn(0);
1382 }
1383 
1384 PetscErrorCode MatRestoreRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1385 {
1386   PetscFunctionBegin;
1387   if (nz)  *nz = 0;
1388   if (idx) PetscCall(PetscFree(*idx));
1389   if (v)   PetscCall(PetscFree(*v));
1390   PetscFunctionReturn(0);
1391 }
1392 
1393 PetscErrorCode MatTranspose_SeqBAIJ(Mat A,MatReuse reuse,Mat *B)
1394 {
1395   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ*)A->data,*at;
1396   Mat            C;
1397   PetscInt       i,j,k,*aj=a->j,*ai=a->i,bs=A->rmap->bs,mbs=a->mbs,nbs=a->nbs,*atfill;
1398   PetscInt       bs2=a->bs2,*ati,*atj,anzj,kr;
1399   MatScalar      *ata,*aa=a->a;
1400 
1401   PetscFunctionBegin;
1402   if (reuse == MAT_REUSE_MATRIX) PetscCall(MatTransposeCheckNonzeroState_Private(A,*B));
1403   PetscCall(PetscCalloc1(1+nbs,&atfill));
1404   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_INPLACE_MATRIX) {
1405     for (i=0; i<ai[mbs]; i++) atfill[aj[i]] += 1; /* count num of non-zeros in row aj[i] */
1406 
1407     PetscCall(MatCreate(PetscObjectComm((PetscObject)A),&C));
1408     PetscCall(MatSetSizes(C,A->cmap->n,A->rmap->N,A->cmap->n,A->rmap->N));
1409     PetscCall(MatSetType(C,((PetscObject)A)->type_name));
1410     PetscCall(MatSeqBAIJSetPreallocation(C,bs,0,atfill));
1411 
1412     at  = (Mat_SeqBAIJ*)C->data;
1413     ati = at->i;
1414     for (i=0; i<nbs; i++) at->ilen[i] = at->imax[i] = ati[i+1] - ati[i];
1415   } else {
1416     C = *B;
1417     at = (Mat_SeqBAIJ*)C->data;
1418     ati = at->i;
1419   }
1420 
1421   atj = at->j;
1422   ata = at->a;
1423 
1424   /* Copy ati into atfill so we have locations of the next free space in atj */
1425   PetscCall(PetscArraycpy(atfill,ati,nbs));
1426 
1427   /* Walk through A row-wise and mark nonzero entries of A^T. */
1428   for (i=0; i<mbs; i++) {
1429     anzj = ai[i+1] - ai[i];
1430     for (j=0; j<anzj; j++) {
1431       atj[atfill[*aj]] = i;
1432       for (kr=0; kr<bs; kr++) {
1433         for (k=0; k<bs; k++) {
1434           ata[bs2*atfill[*aj]+k*bs+kr] = *aa++;
1435         }
1436       }
1437       atfill[*aj++] += 1;
1438     }
1439   }
1440   PetscCall(MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY));
1441   PetscCall(MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY));
1442 
1443   /* Clean up temporary space and complete requests. */
1444   PetscCall(PetscFree(atfill));
1445 
1446   if (reuse == MAT_INITIAL_MATRIX || reuse == MAT_REUSE_MATRIX) {
1447     PetscCall(MatSetBlockSizes(C,PetscAbs(A->cmap->bs),PetscAbs(A->rmap->bs)));
1448     *B = C;
1449   } else {
1450     PetscCall(MatHeaderMerge(A,&C));
1451   }
1452   PetscFunctionReturn(0);
1453 }
1454 
1455 PetscErrorCode MatIsTranspose_SeqBAIJ(Mat A,Mat B,PetscReal tol,PetscBool  *f)
1456 {
1457   Mat            Btrans;
1458 
1459   PetscFunctionBegin;
1460   *f   = PETSC_FALSE;
1461   PetscCall(MatTranspose(A,MAT_INITIAL_MATRIX,&Btrans));
1462   PetscCall(MatEqual_SeqBAIJ(B,Btrans,f));
1463   PetscCall(MatDestroy(&Btrans));
1464   PetscFunctionReturn(0);
1465 }
1466 
1467 /* Used for both SeqBAIJ and SeqSBAIJ matrices */
1468 PetscErrorCode MatView_SeqBAIJ_Binary(Mat mat,PetscViewer viewer)
1469 {
1470   Mat_SeqBAIJ    *A = (Mat_SeqBAIJ*)mat->data;
1471   PetscInt       header[4],M,N,m,bs,nz,cnt,i,j,k,l;
1472   PetscInt       *rowlens,*colidxs;
1473   PetscScalar    *matvals;
1474 
1475   PetscFunctionBegin;
1476   PetscCall(PetscViewerSetUp(viewer));
1477 
1478   M  = mat->rmap->N;
1479   N  = mat->cmap->N;
1480   m  = mat->rmap->n;
1481   bs = mat->rmap->bs;
1482   nz = bs*bs*A->nz;
1483 
1484   /* write matrix header */
1485   header[0] = MAT_FILE_CLASSID;
1486   header[1] = M; header[2] = N; header[3] = nz;
1487   PetscCall(PetscViewerBinaryWrite(viewer,header,4,PETSC_INT));
1488 
1489   /* store row lengths */
1490   PetscCall(PetscMalloc1(m,&rowlens));
1491   for (cnt=0, i=0; i<A->mbs; i++)
1492     for (j=0; j<bs; j++)
1493       rowlens[cnt++] = bs*(A->i[i+1] - A->i[i]);
1494   PetscCall(PetscViewerBinaryWrite(viewer,rowlens,m,PETSC_INT));
1495   PetscCall(PetscFree(rowlens));
1496 
1497   /* store column indices  */
1498   PetscCall(PetscMalloc1(nz,&colidxs));
1499   for (cnt=0, i=0; i<A->mbs; i++)
1500     for (k=0; k<bs; k++)
1501       for (j=A->i[i]; j<A->i[i+1]; j++)
1502         for (l=0; l<bs; l++)
1503           colidxs[cnt++] = bs*A->j[j] + l;
1504   PetscCheck(cnt == nz,PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: cnt = %" PetscInt_FMT " nz = %" PetscInt_FMT,cnt,nz);
1505   PetscCall(PetscViewerBinaryWrite(viewer,colidxs,nz,PETSC_INT));
1506   PetscCall(PetscFree(colidxs));
1507 
1508   /* store nonzero values */
1509   PetscCall(PetscMalloc1(nz,&matvals));
1510   for (cnt=0, i=0; i<A->mbs; i++)
1511     for (k=0; k<bs; k++)
1512       for (j=A->i[i]; j<A->i[i+1]; j++)
1513         for (l=0; l<bs; l++)
1514           matvals[cnt++] = A->a[bs*(bs*j + l) + k];
1515   PetscCheck(cnt == nz,PETSC_COMM_SELF,PETSC_ERR_LIB,"Internal PETSc error: cnt = %" PetscInt_FMT " nz = %" PetscInt_FMT,cnt,nz);
1516   PetscCall(PetscViewerBinaryWrite(viewer,matvals,nz,PETSC_SCALAR));
1517   PetscCall(PetscFree(matvals));
1518 
1519   /* write block size option to the viewer's .info file */
1520   PetscCall(MatView_Binary_BlockSizes(mat,viewer));
1521   PetscFunctionReturn(0);
1522 }
1523 
1524 static PetscErrorCode MatView_SeqBAIJ_ASCII_structonly(Mat A,PetscViewer viewer)
1525 {
1526   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1527   PetscInt       i,bs = A->rmap->bs,k;
1528 
1529   PetscFunctionBegin;
1530   PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE));
1531   for (i=0; i<a->mbs; i++) {
1532     PetscCall(PetscViewerASCIIPrintf(viewer,"row %" PetscInt_FMT "-%" PetscInt_FMT ":",i*bs,i*bs+bs-1));
1533     for (k=a->i[i]; k<a->i[i+1]; k++) {
1534       PetscCall(PetscViewerASCIIPrintf(viewer," (%" PetscInt_FMT "-%" PetscInt_FMT ") ",bs*a->j[k],bs*a->j[k]+bs-1));
1535     }
1536     PetscCall(PetscViewerASCIIPrintf(viewer,"\n"));
1537   }
1538   PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE));
1539   PetscFunctionReturn(0);
1540 }
1541 
1542 static PetscErrorCode MatView_SeqBAIJ_ASCII(Mat A,PetscViewer viewer)
1543 {
1544   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1545   PetscInt          i,j,bs = A->rmap->bs,k,l,bs2=a->bs2;
1546   PetscViewerFormat format;
1547 
1548   PetscFunctionBegin;
1549   if (A->structure_only) {
1550     PetscCall(MatView_SeqBAIJ_ASCII_structonly(A,viewer));
1551     PetscFunctionReturn(0);
1552   }
1553 
1554   PetscCall(PetscViewerGetFormat(viewer,&format));
1555   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1556     PetscCall(PetscViewerASCIIPrintf(viewer,"  block size is %" PetscInt_FMT "\n",bs));
1557   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
1558     const char *matname;
1559     Mat        aij;
1560     PetscCall(MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&aij));
1561     PetscCall(PetscObjectGetName((PetscObject)A,&matname));
1562     PetscCall(PetscObjectSetName((PetscObject)aij,matname));
1563     PetscCall(MatView(aij,viewer));
1564     PetscCall(MatDestroy(&aij));
1565   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
1566       PetscFunctionReturn(0);
1567   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
1568     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE));
1569     for (i=0; i<a->mbs; i++) {
1570       for (j=0; j<bs; j++) {
1571         PetscCall(PetscViewerASCIIPrintf(viewer,"row %" PetscInt_FMT ":",i*bs+j));
1572         for (k=a->i[i]; k<a->i[i+1]; k++) {
1573           for (l=0; l<bs; l++) {
1574 #if defined(PETSC_USE_COMPLEX)
1575             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1576               PetscCall(PetscViewerASCIIPrintf(viewer," (%" PetscInt_FMT ", %g + %gi) ",bs*a->j[k]+l,
1577                                              (double)PetscRealPart(a->a[bs2*k + l*bs + j]),(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j])));
1578             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1579               PetscCall(PetscViewerASCIIPrintf(viewer," (%" PetscInt_FMT ", %g - %gi) ",bs*a->j[k]+l,
1580                                              (double)PetscRealPart(a->a[bs2*k + l*bs + j]),-(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j])));
1581             } else if (PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1582               PetscCall(PetscViewerASCIIPrintf(viewer," (%" PetscInt_FMT ", %g) ",bs*a->j[k]+l,(double)PetscRealPart(a->a[bs2*k + l*bs + j])));
1583             }
1584 #else
1585             if (a->a[bs2*k + l*bs + j] != 0.0) {
1586               PetscCall(PetscViewerASCIIPrintf(viewer," (%" PetscInt_FMT ", %g) ",bs*a->j[k]+l,(double)a->a[bs2*k + l*bs + j]));
1587             }
1588 #endif
1589           }
1590         }
1591         PetscCall(PetscViewerASCIIPrintf(viewer,"\n"));
1592       }
1593     }
1594     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE));
1595   } else {
1596     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_FALSE));
1597     for (i=0; i<a->mbs; i++) {
1598       for (j=0; j<bs; j++) {
1599         PetscCall(PetscViewerASCIIPrintf(viewer,"row %" PetscInt_FMT ":",i*bs+j));
1600         for (k=a->i[i]; k<a->i[i+1]; k++) {
1601           for (l=0; l<bs; l++) {
1602 #if defined(PETSC_USE_COMPLEX)
1603             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0) {
1604               PetscCall(PetscViewerASCIIPrintf(viewer," (%" PetscInt_FMT ", %g + %g i) ",bs*a->j[k]+l,
1605                                              (double)PetscRealPart(a->a[bs2*k + l*bs + j]),(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j])));
1606             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0) {
1607               PetscCall(PetscViewerASCIIPrintf(viewer," (%" PetscInt_FMT ", %g - %g i) ",bs*a->j[k]+l,
1608                                              (double)PetscRealPart(a->a[bs2*k + l*bs + j]),-(double)PetscImaginaryPart(a->a[bs2*k + l*bs + j])));
1609             } else {
1610               PetscCall(PetscViewerASCIIPrintf(viewer," (%" PetscInt_FMT ", %g) ",bs*a->j[k]+l,(double)PetscRealPart(a->a[bs2*k + l*bs + j])));
1611             }
1612 #else
1613             PetscCall(PetscViewerASCIIPrintf(viewer," (%" PetscInt_FMT ", %g) ",bs*a->j[k]+l,(double)a->a[bs2*k + l*bs + j]));
1614 #endif
1615           }
1616         }
1617         PetscCall(PetscViewerASCIIPrintf(viewer,"\n"));
1618       }
1619     }
1620     PetscCall(PetscViewerASCIIUseTabs(viewer,PETSC_TRUE));
1621   }
1622   PetscCall(PetscViewerFlush(viewer));
1623   PetscFunctionReturn(0);
1624 }
1625 
1626 #include <petscdraw.h>
1627 static PetscErrorCode MatView_SeqBAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
1628 {
1629   Mat               A = (Mat) Aa;
1630   Mat_SeqBAIJ       *a=(Mat_SeqBAIJ*)A->data;
1631   PetscInt          row,i,j,k,l,mbs=a->mbs,color,bs=A->rmap->bs,bs2=a->bs2;
1632   PetscReal         xl,yl,xr,yr,x_l,x_r,y_l,y_r;
1633   MatScalar         *aa;
1634   PetscViewer       viewer;
1635   PetscViewerFormat format;
1636 
1637   PetscFunctionBegin;
1638   PetscCall(PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer));
1639   PetscCall(PetscViewerGetFormat(viewer,&format));
1640   PetscCall(PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr));
1641 
1642   /* loop over matrix elements drawing boxes */
1643 
1644   if (format != PETSC_VIEWER_DRAW_CONTOUR) {
1645     PetscDrawCollectiveBegin(draw);
1646     /* Blue for negative, Cyan for zero and  Red for positive */
1647     color = PETSC_DRAW_BLUE;
1648     for (i=0,row=0; i<mbs; i++,row+=bs) {
1649       for (j=a->i[i]; j<a->i[i+1]; j++) {
1650         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1651         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1652         aa  = a->a + j*bs2;
1653         for (k=0; k<bs; k++) {
1654           for (l=0; l<bs; l++) {
1655             if (PetscRealPart(*aa++) >=  0.) continue;
1656             PetscCall(PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color));
1657           }
1658         }
1659       }
1660     }
1661     color = PETSC_DRAW_CYAN;
1662     for (i=0,row=0; i<mbs; i++,row+=bs) {
1663       for (j=a->i[i]; j<a->i[i+1]; j++) {
1664         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1665         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1666         aa  = a->a + j*bs2;
1667         for (k=0; k<bs; k++) {
1668           for (l=0; l<bs; l++) {
1669             if (PetscRealPart(*aa++) != 0.) continue;
1670             PetscCall(PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color));
1671           }
1672         }
1673       }
1674     }
1675     color = PETSC_DRAW_RED;
1676     for (i=0,row=0; i<mbs; i++,row+=bs) {
1677       for (j=a->i[i]; j<a->i[i+1]; j++) {
1678         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1679         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1680         aa  = a->a + j*bs2;
1681         for (k=0; k<bs; k++) {
1682           for (l=0; l<bs; l++) {
1683             if (PetscRealPart(*aa++) <= 0.) continue;
1684             PetscCall(PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color));
1685           }
1686         }
1687       }
1688     }
1689     PetscDrawCollectiveEnd(draw);
1690   } else {
1691     /* use contour shading to indicate magnitude of values */
1692     /* first determine max of all nonzero values */
1693     PetscReal      minv = 0.0, maxv = 0.0;
1694     PetscDraw      popup;
1695 
1696     for (i=0; i<a->nz*a->bs2; i++) {
1697       if (PetscAbsScalar(a->a[i]) > maxv) maxv = PetscAbsScalar(a->a[i]);
1698     }
1699     if (minv >= maxv) maxv = minv + PETSC_SMALL;
1700     PetscCall(PetscDrawGetPopup(draw,&popup));
1701     PetscCall(PetscDrawScalePopup(popup,0.0,maxv));
1702 
1703     PetscDrawCollectiveBegin(draw);
1704     for (i=0,row=0; i<mbs; i++,row+=bs) {
1705       for (j=a->i[i]; j<a->i[i+1]; j++) {
1706         y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1707         x_l = a->j[j]*bs; x_r = x_l + 1.0;
1708         aa  = a->a + j*bs2;
1709         for (k=0; k<bs; k++) {
1710           for (l=0; l<bs; l++) {
1711             MatScalar v = *aa++;
1712             color = PetscDrawRealToColor(PetscAbsScalar(v),minv,maxv);
1713             PetscCall(PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color));
1714           }
1715         }
1716       }
1717     }
1718     PetscDrawCollectiveEnd(draw);
1719   }
1720   PetscFunctionReturn(0);
1721 }
1722 
1723 static PetscErrorCode MatView_SeqBAIJ_Draw(Mat A,PetscViewer viewer)
1724 {
1725   PetscReal      xl,yl,xr,yr,w,h;
1726   PetscDraw      draw;
1727   PetscBool      isnull;
1728 
1729   PetscFunctionBegin;
1730   PetscCall(PetscViewerDrawGetDraw(viewer,0,&draw));
1731   PetscCall(PetscDrawIsNull(draw,&isnull));
1732   if (isnull) PetscFunctionReturn(0);
1733 
1734   xr   = A->cmap->n; yr = A->rmap->N; h = yr/10.0; w = xr/10.0;
1735   xr  += w;          yr += h;        xl = -w;     yl = -h;
1736   PetscCall(PetscDrawSetCoordinates(draw,xl,yl,xr,yr));
1737   PetscCall(PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer));
1738   PetscCall(PetscDrawZoom(draw,MatView_SeqBAIJ_Draw_Zoom,A));
1739   PetscCall(PetscObjectCompose((PetscObject)A,"Zoomviewer",NULL));
1740   PetscCall(PetscDrawSave(draw));
1741   PetscFunctionReturn(0);
1742 }
1743 
1744 PetscErrorCode MatView_SeqBAIJ(Mat A,PetscViewer viewer)
1745 {
1746   PetscBool      iascii,isbinary,isdraw;
1747 
1748   PetscFunctionBegin;
1749   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERASCII,&iascii));
1750   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary));
1751   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERDRAW,&isdraw));
1752   if (iascii) {
1753     PetscCall(MatView_SeqBAIJ_ASCII(A,viewer));
1754   } else if (isbinary) {
1755     PetscCall(MatView_SeqBAIJ_Binary(A,viewer));
1756   } else if (isdraw) {
1757     PetscCall(MatView_SeqBAIJ_Draw(A,viewer));
1758   } else {
1759     Mat B;
1760     PetscCall(MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&B));
1761     PetscCall(MatView(B,viewer));
1762     PetscCall(MatDestroy(&B));
1763   }
1764   PetscFunctionReturn(0);
1765 }
1766 
1767 PetscErrorCode MatGetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
1768 {
1769   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1770   PetscInt    *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
1771   PetscInt    *ai = a->i,*ailen = a->ilen;
1772   PetscInt    brow,bcol,ridx,cidx,bs=A->rmap->bs,bs2=a->bs2;
1773   MatScalar   *ap,*aa = a->a;
1774 
1775   PetscFunctionBegin;
1776   for (k=0; k<m; k++) { /* loop over rows */
1777     row = im[k]; brow = row/bs;
1778     if (row < 0) {v += n; continue;} /* negative row */
1779     PetscCheck(row < A->rmap->N,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row %" PetscInt_FMT " too large", row);
1780     rp   = aj ? aj + ai[brow] : NULL; /* mustn't add to NULL, that is UB */
1781     ap   = aa ? aa + bs2*ai[brow] : NULL; /* mustn't add to NULL, that is UB */
1782     nrow = ailen[brow];
1783     for (l=0; l<n; l++) { /* loop over columns */
1784       if (in[l] < 0) {v++; continue;} /* negative column */
1785       PetscCheck(in[l] < A->cmap->n,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column %" PetscInt_FMT " too large", in[l]);
1786       col  = in[l];
1787       bcol = col/bs;
1788       cidx = col%bs;
1789       ridx = row%bs;
1790       high = nrow;
1791       low  = 0; /* assume unsorted */
1792       while (high-low > 5) {
1793         t = (low+high)/2;
1794         if (rp[t] > bcol) high = t;
1795         else             low  = t;
1796       }
1797       for (i=low; i<high; i++) {
1798         if (rp[i] > bcol) break;
1799         if (rp[i] == bcol) {
1800           *v++ = ap[bs2*i+bs*cidx+ridx];
1801           goto finished;
1802         }
1803       }
1804       *v++ = 0.0;
1805 finished:;
1806     }
1807   }
1808   PetscFunctionReturn(0);
1809 }
1810 
1811 PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
1812 {
1813   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1814   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,lastcol = -1;
1815   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
1816   PetscInt          *aj        =a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs,stepval;
1817   PetscBool         roworiented=a->roworiented;
1818   const PetscScalar *value     = v;
1819   MatScalar         *ap=NULL,*aa = a->a,*bap;
1820 
1821   PetscFunctionBegin;
1822   if (roworiented) {
1823     stepval = (n-1)*bs;
1824   } else {
1825     stepval = (m-1)*bs;
1826   }
1827   for (k=0; k<m; k++) { /* loop over added rows */
1828     row = im[k];
1829     if (row < 0) continue;
1830     PetscCheck(row < a->mbs,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Block row index too large %" PetscInt_FMT " max %" PetscInt_FMT,row,a->mbs-1);
1831     rp   = aj + ai[row];
1832     if (!A->structure_only) ap = aa + bs2*ai[row];
1833     rmax = imax[row];
1834     nrow = ailen[row];
1835     low  = 0;
1836     high = nrow;
1837     for (l=0; l<n; l++) { /* loop over added columns */
1838       if (in[l] < 0) continue;
1839       PetscCheck(in[l] < a->nbs,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Block column index too large %" PetscInt_FMT " max %" PetscInt_FMT,in[l],a->nbs-1);
1840       col = in[l];
1841       if (!A->structure_only) {
1842         if (roworiented) {
1843           value = v + (k*(stepval+bs) + l)*bs;
1844         } else {
1845           value = v + (l*(stepval+bs) + k)*bs;
1846         }
1847       }
1848       if (col <= lastcol) low = 0;
1849       else high = nrow;
1850       lastcol = col;
1851       while (high-low > 7) {
1852         t = (low+high)/2;
1853         if (rp[t] > col) high = t;
1854         else             low  = t;
1855       }
1856       for (i=low; i<high; i++) {
1857         if (rp[i] > col) break;
1858         if (rp[i] == col) {
1859           if (A->structure_only) goto noinsert2;
1860           bap = ap +  bs2*i;
1861           if (roworiented) {
1862             if (is == ADD_VALUES) {
1863               for (ii=0; ii<bs; ii++,value+=stepval) {
1864                 for (jj=ii; jj<bs2; jj+=bs) {
1865                   bap[jj] += *value++;
1866                 }
1867               }
1868             } else {
1869               for (ii=0; ii<bs; ii++,value+=stepval) {
1870                 for (jj=ii; jj<bs2; jj+=bs) {
1871                   bap[jj] = *value++;
1872                 }
1873               }
1874             }
1875           } else {
1876             if (is == ADD_VALUES) {
1877               for (ii=0; ii<bs; ii++,value+=bs+stepval) {
1878                 for (jj=0; jj<bs; jj++) {
1879                   bap[jj] += value[jj];
1880                 }
1881                 bap += bs;
1882               }
1883             } else {
1884               for (ii=0; ii<bs; ii++,value+=bs+stepval) {
1885                 for (jj=0; jj<bs; jj++) {
1886                   bap[jj]  = value[jj];
1887                 }
1888                 bap += bs;
1889               }
1890             }
1891           }
1892           goto noinsert2;
1893         }
1894       }
1895       if (nonew == 1) goto noinsert2;
1896       PetscCheck(nonew != -1,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new blocked index new nonzero block (%" PetscInt_FMT ", %" PetscInt_FMT ") in the matrix", row, col);
1897       if (A->structure_only) {
1898         MatSeqXAIJReallocateAIJ_structure_only(A,a->mbs,bs2,nrow,row,col,rmax,ai,aj,rp,imax,nonew,MatScalar);
1899       } else {
1900         MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
1901       }
1902       N = nrow++ - 1; high++;
1903       /* shift up all the later entries in this row */
1904       PetscCall(PetscArraymove(rp+i+1,rp+i,N-i+1));
1905       rp[i] = col;
1906       if (!A->structure_only) {
1907         PetscCall(PetscArraymove(ap+bs2*(i+1),ap+bs2*i,bs2*(N-i+1)));
1908         bap   = ap +  bs2*i;
1909         if (roworiented) {
1910           for (ii=0; ii<bs; ii++,value+=stepval) {
1911             for (jj=ii; jj<bs2; jj+=bs) {
1912               bap[jj] = *value++;
1913             }
1914           }
1915         } else {
1916           for (ii=0; ii<bs; ii++,value+=stepval) {
1917             for (jj=0; jj<bs; jj++) {
1918               *bap++ = *value++;
1919             }
1920           }
1921         }
1922       }
1923 noinsert2:;
1924       low = i;
1925     }
1926     ailen[row] = nrow;
1927   }
1928   PetscFunctionReturn(0);
1929 }
1930 
1931 PetscErrorCode MatAssemblyEnd_SeqBAIJ(Mat A,MatAssemblyType mode)
1932 {
1933   Mat_SeqBAIJ    *a     = (Mat_SeqBAIJ*)A->data;
1934   PetscInt       fshift = 0,i,*ai = a->i,*aj = a->j,*imax = a->imax;
1935   PetscInt       m      = A->rmap->N,*ip,N,*ailen = a->ilen;
1936   PetscInt       mbs  = a->mbs,bs2 = a->bs2,rmax = 0;
1937   MatScalar      *aa  = a->a,*ap;
1938   PetscReal      ratio=0.6;
1939 
1940   PetscFunctionBegin;
1941   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
1942 
1943   if (m) rmax = ailen[0];
1944   for (i=1; i<mbs; i++) {
1945     /* move each row back by the amount of empty slots (fshift) before it*/
1946     fshift += imax[i-1] - ailen[i-1];
1947     rmax    = PetscMax(rmax,ailen[i]);
1948     if (fshift) {
1949       ip = aj + ai[i];
1950       ap = aa + bs2*ai[i];
1951       N  = ailen[i];
1952       PetscCall(PetscArraymove(ip-fshift,ip,N));
1953       if (!A->structure_only) {
1954         PetscCall(PetscArraymove(ap-bs2*fshift,ap,bs2*N));
1955       }
1956     }
1957     ai[i] = ai[i-1] + ailen[i-1];
1958   }
1959   if (mbs) {
1960     fshift += imax[mbs-1] - ailen[mbs-1];
1961     ai[mbs] = ai[mbs-1] + ailen[mbs-1];
1962   }
1963 
1964   /* reset ilen and imax for each row */
1965   a->nonzerorowcnt = 0;
1966   if (A->structure_only) {
1967     PetscCall(PetscFree2(a->imax,a->ilen));
1968   } else { /* !A->structure_only */
1969     for (i=0; i<mbs; i++) {
1970       ailen[i] = imax[i] = ai[i+1] - ai[i];
1971       a->nonzerorowcnt += ((ai[i+1] - ai[i]) > 0);
1972     }
1973   }
1974   a->nz = ai[mbs];
1975 
1976   /* diagonals may have moved, so kill the diagonal pointers */
1977   a->idiagvalid = PETSC_FALSE;
1978   if (fshift && a->diag) {
1979     PetscCall(PetscFree(a->diag));
1980     PetscCall(PetscLogObjectMemory((PetscObject)A,-(mbs+1)*sizeof(PetscInt)));
1981     a->diag = NULL;
1982   }
1983   if (fshift) PetscCheck(a->nounused != -1,PETSC_COMM_SELF,PETSC_ERR_PLIB, "Unused space detected in matrix: %" PetscInt_FMT " X %" PetscInt_FMT " block size %" PetscInt_FMT ", %" PetscInt_FMT " unneeded", m, A->cmap->n, A->rmap->bs, fshift*bs2);
1984   PetscCall(PetscInfo(A,"Matrix size: %" PetscInt_FMT " X %" PetscInt_FMT ", block size %" PetscInt_FMT "; storage space: %" PetscInt_FMT " unneeded, %" PetscInt_FMT " used\n",m,A->cmap->n,A->rmap->bs,fshift*bs2,a->nz*bs2));
1985   PetscCall(PetscInfo(A,"Number of mallocs during MatSetValues is %" PetscInt_FMT "\n",a->reallocs));
1986   PetscCall(PetscInfo(A,"Most nonzeros blocks in any row is %" PetscInt_FMT "\n",rmax));
1987 
1988   A->info.mallocs    += a->reallocs;
1989   a->reallocs         = 0;
1990   A->info.nz_unneeded = (PetscReal)fshift*bs2;
1991   a->rmax             = rmax;
1992 
1993   if (!A->structure_only) {
1994     PetscCall(MatCheckCompressedRow(A,a->nonzerorowcnt,&a->compressedrow,a->i,mbs,ratio));
1995   }
1996   PetscFunctionReturn(0);
1997 }
1998 
1999 /*
2000    This function returns an array of flags which indicate the locations of contiguous
2001    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
2002    then the resulting sizes = [3,1,1,3,1] corresponding to sets [(0,1,2),(3),(5),(6,7,8),(9)]
2003    Assume: sizes should be long enough to hold all the values.
2004 */
2005 static PetscErrorCode MatZeroRows_SeqBAIJ_Check_Blocks(PetscInt idx[],PetscInt n,PetscInt bs,PetscInt sizes[], PetscInt *bs_max)
2006 {
2007   PetscInt  i,j,k,row;
2008   PetscBool flg;
2009 
2010   PetscFunctionBegin;
2011   for (i=0,j=0; i<n; j++) {
2012     row = idx[i];
2013     if (row%bs!=0) { /* Not the beginning of a block */
2014       sizes[j] = 1;
2015       i++;
2016     } else if (i+bs > n) { /* complete block doesn't exist (at idx end) */
2017       sizes[j] = 1;         /* Also makes sure at least 'bs' values exist for next else */
2018       i++;
2019     } else { /* Beginning of the block, so check if the complete block exists */
2020       flg = PETSC_TRUE;
2021       for (k=1; k<bs; k++) {
2022         if (row+k != idx[i+k]) { /* break in the block */
2023           flg = PETSC_FALSE;
2024           break;
2025         }
2026       }
2027       if (flg) { /* No break in the bs */
2028         sizes[j] = bs;
2029         i       += bs;
2030       } else {
2031         sizes[j] = 1;
2032         i++;
2033       }
2034     }
2035   }
2036   *bs_max = j;
2037   PetscFunctionReturn(0);
2038 }
2039 
2040 PetscErrorCode MatZeroRows_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag,Vec x, Vec b)
2041 {
2042   Mat_SeqBAIJ       *baij=(Mat_SeqBAIJ*)A->data;
2043   PetscInt          i,j,k,count,*rows;
2044   PetscInt          bs=A->rmap->bs,bs2=baij->bs2,*sizes,row,bs_max;
2045   PetscScalar       zero = 0.0;
2046   MatScalar         *aa;
2047   const PetscScalar *xx;
2048   PetscScalar       *bb;
2049 
2050   PetscFunctionBegin;
2051   /* fix right hand side if needed */
2052   if (x && b) {
2053     PetscCall(VecGetArrayRead(x,&xx));
2054     PetscCall(VecGetArray(b,&bb));
2055     for (i=0; i<is_n; i++) {
2056       bb[is_idx[i]] = diag*xx[is_idx[i]];
2057     }
2058     PetscCall(VecRestoreArrayRead(x,&xx));
2059     PetscCall(VecRestoreArray(b,&bb));
2060   }
2061 
2062   /* Make a copy of the IS and  sort it */
2063   /* allocate memory for rows,sizes */
2064   PetscCall(PetscMalloc2(is_n,&rows,2*is_n,&sizes));
2065 
2066   /* copy IS values to rows, and sort them */
2067   for (i=0; i<is_n; i++) rows[i] = is_idx[i];
2068   PetscCall(PetscSortInt(is_n,rows));
2069 
2070   if (baij->keepnonzeropattern) {
2071     for (i=0; i<is_n; i++) sizes[i] = 1;
2072     bs_max          = is_n;
2073   } else {
2074     PetscCall(MatZeroRows_SeqBAIJ_Check_Blocks(rows,is_n,bs,sizes,&bs_max));
2075     A->nonzerostate++;
2076   }
2077 
2078   for (i=0,j=0; i<bs_max; j+=sizes[i],i++) {
2079     row = rows[j];
2080     PetscCheck(row >= 0 && row <= A->rmap->N,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %" PetscInt_FMT " out of range",row);
2081     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2082     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2083     if (sizes[i] == bs && !baij->keepnonzeropattern) {
2084       if (diag != (PetscScalar)0.0) {
2085         if (baij->ilen[row/bs] > 0) {
2086           baij->ilen[row/bs]       = 1;
2087           baij->j[baij->i[row/bs]] = row/bs;
2088 
2089           PetscCall(PetscArrayzero(aa,count*bs));
2090         }
2091         /* Now insert all the diagonal values for this bs */
2092         for (k=0; k<bs; k++) {
2093           PetscCall((*A->ops->setvalues)(A,1,rows+j+k,1,rows+j+k,&diag,INSERT_VALUES));
2094         }
2095       } else { /* (diag == 0.0) */
2096         baij->ilen[row/bs] = 0;
2097       } /* end (diag == 0.0) */
2098     } else { /* (sizes[i] != bs) */
2099       PetscAssert(sizes[i] == 1,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Internal Error. Value should be 1");
2100       for (k=0; k<count; k++) {
2101         aa[0] =  zero;
2102         aa   += bs;
2103       }
2104       if (diag != (PetscScalar)0.0) {
2105         PetscCall((*A->ops->setvalues)(A,1,rows+j,1,rows+j,&diag,INSERT_VALUES));
2106       }
2107     }
2108   }
2109 
2110   PetscCall(PetscFree2(rows,sizes));
2111   PetscCall(MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY));
2112   PetscFunctionReturn(0);
2113 }
2114 
2115 PetscErrorCode MatZeroRowsColumns_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag,Vec x, Vec b)
2116 {
2117   Mat_SeqBAIJ       *baij=(Mat_SeqBAIJ*)A->data;
2118   PetscInt          i,j,k,count;
2119   PetscInt          bs   =A->rmap->bs,bs2=baij->bs2,row,col;
2120   PetscScalar       zero = 0.0;
2121   MatScalar         *aa;
2122   const PetscScalar *xx;
2123   PetscScalar       *bb;
2124   PetscBool         *zeroed,vecs = PETSC_FALSE;
2125 
2126   PetscFunctionBegin;
2127   /* fix right hand side if needed */
2128   if (x && b) {
2129     PetscCall(VecGetArrayRead(x,&xx));
2130     PetscCall(VecGetArray(b,&bb));
2131     vecs = PETSC_TRUE;
2132   }
2133 
2134   /* zero the columns */
2135   PetscCall(PetscCalloc1(A->rmap->n,&zeroed));
2136   for (i=0; i<is_n; i++) {
2137     PetscCheck(is_idx[i] >= 0 && is_idx[i] < A->rmap->N,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"row %" PetscInt_FMT " out of range",is_idx[i]);
2138     zeroed[is_idx[i]] = PETSC_TRUE;
2139   }
2140   for (i=0; i<A->rmap->N; i++) {
2141     if (!zeroed[i]) {
2142       row = i/bs;
2143       for (j=baij->i[row]; j<baij->i[row+1]; j++) {
2144         for (k=0; k<bs; k++) {
2145           col = bs*baij->j[j] + k;
2146           if (zeroed[col]) {
2147             aa = ((MatScalar*)(baij->a)) + j*bs2 + (i%bs) + bs*k;
2148             if (vecs) bb[i] -= aa[0]*xx[col];
2149             aa[0] = 0.0;
2150           }
2151         }
2152       }
2153     } else if (vecs) bb[i] = diag*xx[i];
2154   }
2155   PetscCall(PetscFree(zeroed));
2156   if (vecs) {
2157     PetscCall(VecRestoreArrayRead(x,&xx));
2158     PetscCall(VecRestoreArray(b,&bb));
2159   }
2160 
2161   /* zero the rows */
2162   for (i=0; i<is_n; i++) {
2163     row   = is_idx[i];
2164     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2165     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2166     for (k=0; k<count; k++) {
2167       aa[0] =  zero;
2168       aa   += bs;
2169     }
2170     if (diag != (PetscScalar)0.0) PetscUseTypeMethod(A,setvalues ,1,&row,1,&row,&diag,INSERT_VALUES);
2171   }
2172   PetscCall(MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY));
2173   PetscFunctionReturn(0);
2174 }
2175 
2176 PetscErrorCode MatSetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
2177 {
2178   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2179   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,lastcol = -1;
2180   PetscInt       *imax=a->imax,*ai=a->i,*ailen=a->ilen;
2181   PetscInt       *aj  =a->j,nonew=a->nonew,bs=A->rmap->bs,brow,bcol;
2182   PetscInt       ridx,cidx,bs2=a->bs2;
2183   PetscBool      roworiented=a->roworiented;
2184   MatScalar      *ap=NULL,value=0.0,*aa=a->a,*bap;
2185 
2186   PetscFunctionBegin;
2187   for (k=0; k<m; k++) { /* loop over added rows */
2188     row  = im[k];
2189     brow = row/bs;
2190     if (row < 0) continue;
2191     PetscCheck(row < A->rmap->N,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %" PetscInt_FMT " max %" PetscInt_FMT,row,A->rmap->N-1);
2192     rp   = aj + ai[brow];
2193     if (!A->structure_only) ap = aa + bs2*ai[brow];
2194     rmax = imax[brow];
2195     nrow = ailen[brow];
2196     low  = 0;
2197     high = nrow;
2198     for (l=0; l<n; l++) { /* loop over added columns */
2199       if (in[l] < 0) continue;
2200       PetscCheck(in[l] < A->cmap->n,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %" PetscInt_FMT " max %" PetscInt_FMT,in[l],A->cmap->n-1);
2201       col  = in[l]; bcol = col/bs;
2202       ridx = row % bs; cidx = col % bs;
2203       if (!A->structure_only) {
2204         if (roworiented) {
2205           value = v[l + k*n];
2206         } else {
2207           value = v[k + l*m];
2208         }
2209       }
2210       if (col <= lastcol) low = 0; else high = nrow;
2211       lastcol = col;
2212       while (high-low > 7) {
2213         t = (low+high)/2;
2214         if (rp[t] > bcol) high = t;
2215         else              low  = t;
2216       }
2217       for (i=low; i<high; i++) {
2218         if (rp[i] > bcol) break;
2219         if (rp[i] == bcol) {
2220           bap = ap +  bs2*i + bs*cidx + ridx;
2221           if (!A->structure_only) {
2222             if (is == ADD_VALUES) *bap += value;
2223             else                  *bap  = value;
2224           }
2225           goto noinsert1;
2226         }
2227       }
2228       if (nonew == 1) goto noinsert1;
2229       PetscCheck(nonew != -1,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%" PetscInt_FMT ", %" PetscInt_FMT ") in the matrix", row, col);
2230       if (A->structure_only) {
2231         MatSeqXAIJReallocateAIJ_structure_only(A,a->mbs,bs2,nrow,brow,bcol,rmax,ai,aj,rp,imax,nonew,MatScalar);
2232       } else {
2233         MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
2234       }
2235       N = nrow++ - 1; high++;
2236       /* shift up all the later entries in this row */
2237       PetscCall(PetscArraymove(rp+i+1,rp+i,N-i+1));
2238       rp[i] = bcol;
2239       if (!A->structure_only) {
2240         PetscCall(PetscArraymove(ap+bs2*(i+1),ap+bs2*i,bs2*(N-i+1)));
2241         PetscCall(PetscArrayzero(ap+bs2*i,bs2));
2242         ap[bs2*i + bs*cidx + ridx] = value;
2243       }
2244       a->nz++;
2245       A->nonzerostate++;
2246 noinsert1:;
2247       low = i;
2248     }
2249     ailen[brow] = nrow;
2250   }
2251   PetscFunctionReturn(0);
2252 }
2253 
2254 PetscErrorCode MatILUFactor_SeqBAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2255 {
2256   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inA->data;
2257   Mat            outA;
2258   PetscBool      row_identity,col_identity;
2259 
2260   PetscFunctionBegin;
2261   PetscCheck(info->levels == 0,PETSC_COMM_SELF,PETSC_ERR_SUP,"Only levels = 0 supported for in-place ILU");
2262   PetscCall(ISIdentity(row,&row_identity));
2263   PetscCall(ISIdentity(col,&col_identity));
2264   PetscCheck(row_identity && col_identity,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for in-place ILU");
2265 
2266   outA            = inA;
2267   inA->factortype = MAT_FACTOR_LU;
2268   PetscCall(PetscFree(inA->solvertype));
2269   PetscCall(PetscStrallocpy(MATSOLVERPETSC,&inA->solvertype));
2270 
2271   PetscCall(MatMarkDiagonal_SeqBAIJ(inA));
2272 
2273   PetscCall(PetscObjectReference((PetscObject)row));
2274   PetscCall(ISDestroy(&a->row));
2275   a->row = row;
2276   PetscCall(PetscObjectReference((PetscObject)col));
2277   PetscCall(ISDestroy(&a->col));
2278   a->col = col;
2279 
2280   /* Create the invert permutation so that it can be used in MatLUFactorNumeric() */
2281   PetscCall(ISDestroy(&a->icol));
2282   PetscCall(ISInvertPermutation(col,PETSC_DECIDE,&a->icol));
2283   PetscCall(PetscLogObjectParent((PetscObject)inA,(PetscObject)a->icol));
2284 
2285   PetscCall(MatSeqBAIJSetNumericFactorization_inplace(inA,(PetscBool)(row_identity && col_identity)));
2286   if (!a->solve_work) {
2287     PetscCall(PetscMalloc1(inA->rmap->N+inA->rmap->bs,&a->solve_work));
2288     PetscCall(PetscLogObjectMemory((PetscObject)inA,(inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar)));
2289   }
2290   PetscCall(MatLUFactorNumeric(outA,inA,info));
2291   PetscFunctionReturn(0);
2292 }
2293 
2294 PetscErrorCode  MatSeqBAIJSetColumnIndices_SeqBAIJ(Mat mat,PetscInt *indices)
2295 {
2296   Mat_SeqBAIJ *baij = (Mat_SeqBAIJ*)mat->data;
2297   PetscInt    i,nz,mbs;
2298 
2299   PetscFunctionBegin;
2300   nz  = baij->maxnz;
2301   mbs = baij->mbs;
2302   for (i=0; i<nz; i++) {
2303     baij->j[i] = indices[i];
2304   }
2305   baij->nz = nz;
2306   for (i=0; i<mbs; i++) {
2307     baij->ilen[i] = baij->imax[i];
2308   }
2309   PetscFunctionReturn(0);
2310 }
2311 
2312 /*@
2313     MatSeqBAIJSetColumnIndices - Set the column indices for all the rows
2314        in the matrix.
2315 
2316   Input Parameters:
2317 +  mat - the SeqBAIJ matrix
2318 -  indices - the column indices
2319 
2320   Level: advanced
2321 
2322   Notes:
2323     This can be called if you have precomputed the nonzero structure of the
2324   matrix and want to provide it to the matrix object to improve the performance
2325   of the MatSetValues() operation.
2326 
2327     You MUST have set the correct numbers of nonzeros per row in the call to
2328   MatCreateSeqBAIJ(), and the columns indices MUST be sorted.
2329 
2330     MUST be called before any calls to MatSetValues();
2331 
2332 @*/
2333 PetscErrorCode  MatSeqBAIJSetColumnIndices(Mat mat,PetscInt *indices)
2334 {
2335   PetscFunctionBegin;
2336   PetscValidHeaderSpecific(mat,MAT_CLASSID,1);
2337   PetscValidIntPointer(indices,2);
2338   PetscUseMethod(mat,"MatSeqBAIJSetColumnIndices_C",(Mat,PetscInt*),(mat,indices));
2339   PetscFunctionReturn(0);
2340 }
2341 
2342 PetscErrorCode MatGetRowMaxAbs_SeqBAIJ(Mat A,Vec v,PetscInt idx[])
2343 {
2344   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2345   PetscInt       i,j,n,row,bs,*ai,*aj,mbs;
2346   PetscReal      atmp;
2347   PetscScalar    *x,zero = 0.0;
2348   MatScalar      *aa;
2349   PetscInt       ncols,brow,krow,kcol;
2350 
2351   PetscFunctionBegin;
2352   /* why is this not a macro???????????????????????????????????????????????????????????????? */
2353   PetscCheck(!A->factortype,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2354   bs  = A->rmap->bs;
2355   aa  = a->a;
2356   ai  = a->i;
2357   aj  = a->j;
2358   mbs = a->mbs;
2359 
2360   PetscCall(VecSet(v,zero));
2361   PetscCall(VecGetArray(v,&x));
2362   PetscCall(VecGetLocalSize(v,&n));
2363   PetscCheck(n == A->rmap->N,PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2364   for (i=0; i<mbs; i++) {
2365     ncols = ai[1] - ai[0]; ai++;
2366     brow  = bs*i;
2367     for (j=0; j<ncols; j++) {
2368       for (kcol=0; kcol<bs; kcol++) {
2369         for (krow=0; krow<bs; krow++) {
2370           atmp = PetscAbsScalar(*aa);aa++;
2371           row  = brow + krow;   /* row index */
2372           if (PetscAbsScalar(x[row]) < atmp) {x[row] = atmp; if (idx) idx[row] = bs*(*aj) + kcol;}
2373         }
2374       }
2375       aj++;
2376     }
2377   }
2378   PetscCall(VecRestoreArray(v,&x));
2379   PetscFunctionReturn(0);
2380 }
2381 
2382 PetscErrorCode MatCopy_SeqBAIJ(Mat A,Mat B,MatStructure str)
2383 {
2384   PetscFunctionBegin;
2385   /* If the two matrices have the same copy implementation, use fast copy. */
2386   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2387     Mat_SeqBAIJ *a  = (Mat_SeqBAIJ*)A->data;
2388     Mat_SeqBAIJ *b  = (Mat_SeqBAIJ*)B->data;
2389     PetscInt    ambs=a->mbs,bmbs=b->mbs,abs=A->rmap->bs,bbs=B->rmap->bs,bs2=abs*abs;
2390 
2391     PetscCheck(a->i[ambs] == b->i[bmbs],PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Number of nonzero blocks in matrices A %" PetscInt_FMT " and B %" PetscInt_FMT " are different",a->i[ambs],b->i[bmbs]);
2392     PetscCheck(abs == bbs,PETSC_COMM_SELF,PETSC_ERR_ARG_INCOMP,"Block size A %" PetscInt_FMT " and B %" PetscInt_FMT " are different",abs,bbs);
2393     PetscCall(PetscArraycpy(b->a,a->a,bs2*a->i[ambs]));
2394     PetscCall(PetscObjectStateIncrease((PetscObject)B));
2395   } else {
2396     PetscCall(MatCopy_Basic(A,B,str));
2397   }
2398   PetscFunctionReturn(0);
2399 }
2400 
2401 PetscErrorCode MatSetUp_SeqBAIJ(Mat A)
2402 {
2403   PetscFunctionBegin;
2404   PetscCall(MatSeqBAIJSetPreallocation(A,A->rmap->bs,PETSC_DEFAULT,NULL));
2405   PetscFunctionReturn(0);
2406 }
2407 
2408 static PetscErrorCode MatSeqBAIJGetArray_SeqBAIJ(Mat A,PetscScalar *array[])
2409 {
2410   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2411 
2412   PetscFunctionBegin;
2413   *array = a->a;
2414   PetscFunctionReturn(0);
2415 }
2416 
2417 static PetscErrorCode MatSeqBAIJRestoreArray_SeqBAIJ(Mat A,PetscScalar *array[])
2418 {
2419   PetscFunctionBegin;
2420   *array = NULL;
2421   PetscFunctionReturn(0);
2422 }
2423 
2424 PetscErrorCode MatAXPYGetPreallocation_SeqBAIJ(Mat Y,Mat X,PetscInt *nnz)
2425 {
2426   PetscInt       bs = Y->rmap->bs,mbs = Y->rmap->N/bs;
2427   Mat_SeqBAIJ    *x = (Mat_SeqBAIJ*)X->data;
2428   Mat_SeqBAIJ    *y = (Mat_SeqBAIJ*)Y->data;
2429 
2430   PetscFunctionBegin;
2431   /* Set the number of nonzeros in the new matrix */
2432   PetscCall(MatAXPYGetPreallocation_SeqX_private(mbs,x->i,x->j,y->i,y->j,nnz));
2433   PetscFunctionReturn(0);
2434 }
2435 
2436 PetscErrorCode MatAXPY_SeqBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2437 {
2438   Mat_SeqBAIJ    *x = (Mat_SeqBAIJ*)X->data,*y = (Mat_SeqBAIJ*)Y->data;
2439   PetscInt       bs=Y->rmap->bs,bs2=bs*bs;
2440   PetscBLASInt   one=1;
2441 
2442   PetscFunctionBegin;
2443   if (str == UNKNOWN_NONZERO_PATTERN || (PetscDefined(USE_DEBUG) && str == SAME_NONZERO_PATTERN)) {
2444     PetscBool e = x->nz == y->nz && x->mbs == y->mbs && bs == X->rmap->bs ? PETSC_TRUE : PETSC_FALSE;
2445     if (e) {
2446       PetscCall(PetscArraycmp(x->i,y->i,x->mbs+1,&e));
2447       if (e) {
2448         PetscCall(PetscArraycmp(x->j,y->j,x->i[x->mbs],&e));
2449         if (e) str = SAME_NONZERO_PATTERN;
2450       }
2451     }
2452     if (!e) PetscCheck(str != SAME_NONZERO_PATTERN,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"MatStructure is not SAME_NONZERO_PATTERN");
2453   }
2454   if (str == SAME_NONZERO_PATTERN) {
2455     PetscScalar  alpha = a;
2456     PetscBLASInt bnz;
2457     PetscCall(PetscBLASIntCast(x->nz*bs2,&bnz));
2458     PetscCallBLAS("BLASaxpy",BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one));
2459     PetscCall(PetscObjectStateIncrease((PetscObject)Y));
2460   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2461     PetscCall(MatAXPY_Basic(Y,a,X,str));
2462   } else {
2463     Mat      B;
2464     PetscInt *nnz;
2465     PetscCheck(bs == X->rmap->bs,PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Matrices must have same block size");
2466     PetscCall(PetscMalloc1(Y->rmap->N,&nnz));
2467     PetscCall(MatCreate(PetscObjectComm((PetscObject)Y),&B));
2468     PetscCall(PetscObjectSetName((PetscObject)B,((PetscObject)Y)->name));
2469     PetscCall(MatSetSizes(B,Y->rmap->n,Y->cmap->n,Y->rmap->N,Y->cmap->N));
2470     PetscCall(MatSetBlockSizesFromMats(B,Y,Y));
2471     PetscCall(MatSetType(B,(MatType) ((PetscObject)Y)->type_name));
2472     PetscCall(MatAXPYGetPreallocation_SeqBAIJ(Y,X,nnz));
2473     PetscCall(MatSeqBAIJSetPreallocation(B,bs,0,nnz));
2474     PetscCall(MatAXPY_BasicWithPreallocation(B,Y,a,X,str));
2475     PetscCall(MatHeaderMerge(Y,&B));
2476     PetscCall(PetscFree(nnz));
2477   }
2478   PetscFunctionReturn(0);
2479 }
2480 
2481 PETSC_INTERN PetscErrorCode MatConjugate_SeqBAIJ(Mat A)
2482 {
2483 #if defined(PETSC_USE_COMPLEX)
2484   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2485   PetscInt    i,nz = a->bs2*a->i[a->mbs];
2486   MatScalar   *aa = a->a;
2487 
2488   PetscFunctionBegin;
2489   for (i=0; i<nz; i++) aa[i] = PetscConj(aa[i]);
2490 #else
2491   PetscFunctionBegin;
2492 #endif
2493   PetscFunctionReturn(0);
2494 }
2495 
2496 PetscErrorCode MatRealPart_SeqBAIJ(Mat A)
2497 {
2498   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2499   PetscInt    i,nz = a->bs2*a->i[a->mbs];
2500   MatScalar   *aa = a->a;
2501 
2502   PetscFunctionBegin;
2503   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
2504   PetscFunctionReturn(0);
2505 }
2506 
2507 PetscErrorCode MatImaginaryPart_SeqBAIJ(Mat A)
2508 {
2509   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2510   PetscInt    i,nz = a->bs2*a->i[a->mbs];
2511   MatScalar   *aa = a->a;
2512 
2513   PetscFunctionBegin;
2514   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
2515   PetscFunctionReturn(0);
2516 }
2517 
2518 /*
2519     Code almost identical to MatGetColumnIJ_SeqAIJ() should share common code
2520 */
2521 PetscErrorCode MatGetColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
2522 {
2523   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2524   PetscInt       bs = A->rmap->bs,i,*collengths,*cia,*cja,n = A->cmap->n/bs,m = A->rmap->n/bs;
2525   PetscInt       nz = a->i[m],row,*jj,mr,col;
2526 
2527   PetscFunctionBegin;
2528   *nn = n;
2529   if (!ia) PetscFunctionReturn(0);
2530   PetscCheck(!symmetric,PETSC_COMM_SELF,PETSC_ERR_SUP,"Not for BAIJ matrices");
2531   PetscCall(PetscCalloc1(n,&collengths));
2532   PetscCall(PetscMalloc1(n+1,&cia));
2533   PetscCall(PetscMalloc1(nz,&cja));
2534   jj   = a->j;
2535   for (i=0; i<nz; i++) {
2536     collengths[jj[i]]++;
2537   }
2538   cia[0] = oshift;
2539   for (i=0; i<n; i++) {
2540     cia[i+1] = cia[i] + collengths[i];
2541   }
2542   PetscCall(PetscArrayzero(collengths,n));
2543   jj   = a->j;
2544   for (row=0; row<m; row++) {
2545     mr = a->i[row+1] - a->i[row];
2546     for (i=0; i<mr; i++) {
2547       col = *jj++;
2548 
2549       cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
2550     }
2551   }
2552   PetscCall(PetscFree(collengths));
2553   *ia  = cia; *ja = cja;
2554   PetscFunctionReturn(0);
2555 }
2556 
2557 PetscErrorCode MatRestoreColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscBool  *done)
2558 {
2559   PetscFunctionBegin;
2560   if (!ia) PetscFunctionReturn(0);
2561   PetscCall(PetscFree(*ia));
2562   PetscCall(PetscFree(*ja));
2563   PetscFunctionReturn(0);
2564 }
2565 
2566 /*
2567  MatGetColumnIJ_SeqBAIJ_Color() and MatRestoreColumnIJ_SeqBAIJ_Color() are customized from
2568  MatGetColumnIJ_SeqBAIJ() and MatRestoreColumnIJ_SeqBAIJ() by adding an output
2569  spidx[], index of a->a, to be used in MatTransposeColoringCreate() and MatFDColoringCreate()
2570  */
2571 PetscErrorCode MatGetColumnIJ_SeqBAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *nn,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
2572 {
2573   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2574   PetscInt       i,*collengths,*cia,*cja,n=a->nbs,m=a->mbs;
2575   PetscInt       nz = a->i[m],row,*jj,mr,col;
2576   PetscInt       *cspidx;
2577 
2578   PetscFunctionBegin;
2579   *nn = n;
2580   if (!ia) PetscFunctionReturn(0);
2581 
2582   PetscCall(PetscCalloc1(n,&collengths));
2583   PetscCall(PetscMalloc1(n+1,&cia));
2584   PetscCall(PetscMalloc1(nz,&cja));
2585   PetscCall(PetscMalloc1(nz,&cspidx));
2586   jj   = a->j;
2587   for (i=0; i<nz; i++) {
2588     collengths[jj[i]]++;
2589   }
2590   cia[0] = oshift;
2591   for (i=0; i<n; i++) {
2592     cia[i+1] = cia[i] + collengths[i];
2593   }
2594   PetscCall(PetscArrayzero(collengths,n));
2595   jj   = a->j;
2596   for (row=0; row<m; row++) {
2597     mr = a->i[row+1] - a->i[row];
2598     for (i=0; i<mr; i++) {
2599       col = *jj++;
2600       cspidx[cia[col] + collengths[col] - oshift] = a->i[row] + i; /* index of a->j */
2601       cja[cia[col] + collengths[col]++ - oshift]  = row + oshift;
2602     }
2603   }
2604   PetscCall(PetscFree(collengths));
2605   *ia    = cia;
2606   *ja    = cja;
2607   *spidx = cspidx;
2608   PetscFunctionReturn(0);
2609 }
2610 
2611 PetscErrorCode MatRestoreColumnIJ_SeqBAIJ_Color(Mat A,PetscInt oshift,PetscBool symmetric,PetscBool inodecompressed,PetscInt *n,const PetscInt *ia[],const PetscInt *ja[],PetscInt *spidx[],PetscBool  *done)
2612 {
2613   PetscFunctionBegin;
2614   PetscCall(MatRestoreColumnIJ_SeqBAIJ(A,oshift,symmetric,inodecompressed,n,ia,ja,done));
2615   PetscCall(PetscFree(*spidx));
2616   PetscFunctionReturn(0);
2617 }
2618 
2619 PetscErrorCode MatShift_SeqBAIJ(Mat Y,PetscScalar a)
2620 {
2621   Mat_SeqBAIJ     *aij = (Mat_SeqBAIJ*)Y->data;
2622 
2623   PetscFunctionBegin;
2624   if (!Y->preallocated || !aij->nz) {
2625     PetscCall(MatSeqBAIJSetPreallocation(Y,Y->rmap->bs,1,NULL));
2626   }
2627   PetscCall(MatShift_Basic(Y,a));
2628   PetscFunctionReturn(0);
2629 }
2630 
2631 /* -------------------------------------------------------------------*/
2632 static struct _MatOps MatOps_Values = {MatSetValues_SeqBAIJ,
2633                                        MatGetRow_SeqBAIJ,
2634                                        MatRestoreRow_SeqBAIJ,
2635                                        MatMult_SeqBAIJ_N,
2636                                /* 4*/  MatMultAdd_SeqBAIJ_N,
2637                                        MatMultTranspose_SeqBAIJ,
2638                                        MatMultTransposeAdd_SeqBAIJ,
2639                                        NULL,
2640                                        NULL,
2641                                        NULL,
2642                                /* 10*/ NULL,
2643                                        MatLUFactor_SeqBAIJ,
2644                                        NULL,
2645                                        NULL,
2646                                        MatTranspose_SeqBAIJ,
2647                                /* 15*/ MatGetInfo_SeqBAIJ,
2648                                        MatEqual_SeqBAIJ,
2649                                        MatGetDiagonal_SeqBAIJ,
2650                                        MatDiagonalScale_SeqBAIJ,
2651                                        MatNorm_SeqBAIJ,
2652                                /* 20*/ NULL,
2653                                        MatAssemblyEnd_SeqBAIJ,
2654                                        MatSetOption_SeqBAIJ,
2655                                        MatZeroEntries_SeqBAIJ,
2656                                /* 24*/ MatZeroRows_SeqBAIJ,
2657                                        NULL,
2658                                        NULL,
2659                                        NULL,
2660                                        NULL,
2661                                /* 29*/ MatSetUp_SeqBAIJ,
2662                                        NULL,
2663                                        NULL,
2664                                        NULL,
2665                                        NULL,
2666                                /* 34*/ MatDuplicate_SeqBAIJ,
2667                                        NULL,
2668                                        NULL,
2669                                        MatILUFactor_SeqBAIJ,
2670                                        NULL,
2671                                /* 39*/ MatAXPY_SeqBAIJ,
2672                                        MatCreateSubMatrices_SeqBAIJ,
2673                                        MatIncreaseOverlap_SeqBAIJ,
2674                                        MatGetValues_SeqBAIJ,
2675                                        MatCopy_SeqBAIJ,
2676                                /* 44*/ NULL,
2677                                        MatScale_SeqBAIJ,
2678                                        MatShift_SeqBAIJ,
2679                                        NULL,
2680                                        MatZeroRowsColumns_SeqBAIJ,
2681                                /* 49*/ NULL,
2682                                        MatGetRowIJ_SeqBAIJ,
2683                                        MatRestoreRowIJ_SeqBAIJ,
2684                                        MatGetColumnIJ_SeqBAIJ,
2685                                        MatRestoreColumnIJ_SeqBAIJ,
2686                                /* 54*/ MatFDColoringCreate_SeqXAIJ,
2687                                        NULL,
2688                                        NULL,
2689                                        NULL,
2690                                        MatSetValuesBlocked_SeqBAIJ,
2691                                /* 59*/ MatCreateSubMatrix_SeqBAIJ,
2692                                        MatDestroy_SeqBAIJ,
2693                                        MatView_SeqBAIJ,
2694                                        NULL,
2695                                        NULL,
2696                                /* 64*/ NULL,
2697                                        NULL,
2698                                        NULL,
2699                                        NULL,
2700                                        NULL,
2701                                /* 69*/ MatGetRowMaxAbs_SeqBAIJ,
2702                                        NULL,
2703                                        MatConvert_Basic,
2704                                        NULL,
2705                                        NULL,
2706                                /* 74*/ NULL,
2707                                        MatFDColoringApply_BAIJ,
2708                                        NULL,
2709                                        NULL,
2710                                        NULL,
2711                                /* 79*/ NULL,
2712                                        NULL,
2713                                        NULL,
2714                                        NULL,
2715                                        MatLoad_SeqBAIJ,
2716                                /* 84*/ NULL,
2717                                        NULL,
2718                                        NULL,
2719                                        NULL,
2720                                        NULL,
2721                                /* 89*/ NULL,
2722                                        NULL,
2723                                        NULL,
2724                                        NULL,
2725                                        NULL,
2726                                /* 94*/ NULL,
2727                                        NULL,
2728                                        NULL,
2729                                        NULL,
2730                                        NULL,
2731                                /* 99*/ NULL,
2732                                        NULL,
2733                                        NULL,
2734                                        MatConjugate_SeqBAIJ,
2735                                        NULL,
2736                                /*104*/ NULL,
2737                                        MatRealPart_SeqBAIJ,
2738                                        MatImaginaryPart_SeqBAIJ,
2739                                        NULL,
2740                                        NULL,
2741                                /*109*/ NULL,
2742                                        NULL,
2743                                        NULL,
2744                                        NULL,
2745                                        MatMissingDiagonal_SeqBAIJ,
2746                                /*114*/ NULL,
2747                                        NULL,
2748                                        NULL,
2749                                        NULL,
2750                                        NULL,
2751                                /*119*/ NULL,
2752                                        NULL,
2753                                        MatMultHermitianTranspose_SeqBAIJ,
2754                                        MatMultHermitianTransposeAdd_SeqBAIJ,
2755                                        NULL,
2756                                /*124*/ NULL,
2757                                        MatGetColumnReductions_SeqBAIJ,
2758                                        MatInvertBlockDiagonal_SeqBAIJ,
2759                                        NULL,
2760                                        NULL,
2761                                /*129*/ NULL,
2762                                        NULL,
2763                                        NULL,
2764                                        NULL,
2765                                        NULL,
2766                                /*134*/ NULL,
2767                                        NULL,
2768                                        NULL,
2769                                        NULL,
2770                                        NULL,
2771                                /*139*/ MatSetBlockSizes_Default,
2772                                        NULL,
2773                                        NULL,
2774                                        MatFDColoringSetUp_SeqXAIJ,
2775                                        NULL,
2776                                /*144*/ MatCreateMPIMatConcatenateSeqMat_SeqBAIJ,
2777                                        MatDestroySubMatrices_SeqBAIJ,
2778                                        NULL,
2779                                        NULL,
2780                                        NULL,
2781                                        NULL,
2782                                /*150*/ NULL,
2783 };
2784 
2785 PetscErrorCode  MatStoreValues_SeqBAIJ(Mat mat)
2786 {
2787   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ*)mat->data;
2788   PetscInt       nz   = aij->i[aij->mbs]*aij->bs2;
2789 
2790   PetscFunctionBegin;
2791   PetscCheck(aij->nonew == 1,PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2792 
2793   /* allocate space for values if not already there */
2794   if (!aij->saved_values) {
2795     PetscCall(PetscMalloc1(nz+1,&aij->saved_values));
2796     PetscCall(PetscLogObjectMemory((PetscObject)mat,(nz+1)*sizeof(PetscScalar)));
2797   }
2798 
2799   /* copy values over */
2800   PetscCall(PetscArraycpy(aij->saved_values,aij->a,nz));
2801   PetscFunctionReturn(0);
2802 }
2803 
2804 PetscErrorCode  MatRetrieveValues_SeqBAIJ(Mat mat)
2805 {
2806   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ*)mat->data;
2807   PetscInt       nz = aij->i[aij->mbs]*aij->bs2;
2808 
2809   PetscFunctionBegin;
2810   PetscCheck(aij->nonew == 1,PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2811   PetscCheck(aij->saved_values,PETSC_COMM_SELF,PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
2812 
2813   /* copy values over */
2814   PetscCall(PetscArraycpy(aij->a,aij->saved_values,nz));
2815   PetscFunctionReturn(0);
2816 }
2817 
2818 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
2819 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqSBAIJ(Mat, MatType,MatReuse,Mat*);
2820 
2821 PetscErrorCode  MatSeqBAIJSetPreallocation_SeqBAIJ(Mat B,PetscInt bs,PetscInt nz,PetscInt *nnz)
2822 {
2823   Mat_SeqBAIJ    *b;
2824   PetscInt       i,mbs,nbs,bs2;
2825   PetscBool      flg = PETSC_FALSE,skipallocation = PETSC_FALSE,realalloc = PETSC_FALSE;
2826 
2827   PetscFunctionBegin;
2828   if (nz >= 0 || nnz) realalloc = PETSC_TRUE;
2829   if (nz == MAT_SKIP_ALLOCATION) {
2830     skipallocation = PETSC_TRUE;
2831     nz             = 0;
2832   }
2833 
2834   PetscCall(MatSetBlockSize(B,PetscAbs(bs)));
2835   PetscCall(PetscLayoutSetUp(B->rmap));
2836   PetscCall(PetscLayoutSetUp(B->cmap));
2837   PetscCall(PetscLayoutGetBlockSize(B->rmap,&bs));
2838 
2839   B->preallocated = PETSC_TRUE;
2840 
2841   mbs = B->rmap->n/bs;
2842   nbs = B->cmap->n/bs;
2843   bs2 = bs*bs;
2844 
2845   PetscCheck(mbs*bs==B->rmap->n && nbs*bs==B->cmap->n,PETSC_COMM_SELF,PETSC_ERR_ARG_SIZ,"Number rows %" PetscInt_FMT ", cols %" PetscInt_FMT " must be divisible by blocksize %" PetscInt_FMT,B->rmap->N,B->cmap->n,bs);
2846 
2847   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2848   PetscCheck(nz >= 0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %" PetscInt_FMT,nz);
2849   if (nnz) {
2850     for (i=0; i<mbs; i++) {
2851       PetscCheck(nnz[i] >= 0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %" PetscInt_FMT " value %" PetscInt_FMT,i,nnz[i]);
2852       PetscCheck(nnz[i] <= nbs,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be greater than block row length: local row %" PetscInt_FMT " value %" PetscInt_FMT " rowlength %" PetscInt_FMT,i,nnz[i],nbs);
2853     }
2854   }
2855 
2856   b    = (Mat_SeqBAIJ*)B->data;
2857   PetscOptionsBegin(PetscObjectComm((PetscObject)B),NULL,"Optimize options for SEQBAIJ matrix 2 ","Mat");
2858   PetscCall(PetscOptionsBool("-mat_no_unroll","Do not optimize for block size (slow)",NULL,flg,&flg,NULL));
2859   PetscOptionsEnd();
2860 
2861   if (!flg) {
2862     switch (bs) {
2863     case 1:
2864       B->ops->mult    = MatMult_SeqBAIJ_1;
2865       B->ops->multadd = MatMultAdd_SeqBAIJ_1;
2866       break;
2867     case 2:
2868       B->ops->mult    = MatMult_SeqBAIJ_2;
2869       B->ops->multadd = MatMultAdd_SeqBAIJ_2;
2870       break;
2871     case 3:
2872       B->ops->mult    = MatMult_SeqBAIJ_3;
2873       B->ops->multadd = MatMultAdd_SeqBAIJ_3;
2874       break;
2875     case 4:
2876       B->ops->mult    = MatMult_SeqBAIJ_4;
2877       B->ops->multadd = MatMultAdd_SeqBAIJ_4;
2878       break;
2879     case 5:
2880       B->ops->mult    = MatMult_SeqBAIJ_5;
2881       B->ops->multadd = MatMultAdd_SeqBAIJ_5;
2882       break;
2883     case 6:
2884       B->ops->mult    = MatMult_SeqBAIJ_6;
2885       B->ops->multadd = MatMultAdd_SeqBAIJ_6;
2886       break;
2887     case 7:
2888       B->ops->mult    = MatMult_SeqBAIJ_7;
2889       B->ops->multadd = MatMultAdd_SeqBAIJ_7;
2890       break;
2891     case 9:
2892     {
2893       PetscInt version = 1;
2894       PetscCall(PetscOptionsGetInt(NULL,((PetscObject)B)->prefix,"-mat_baij_mult_version",&version,NULL));
2895       switch (version) {
2896 #if defined(PETSC_HAVE_IMMINTRIN_H) && defined(__AVX2__) && defined(__FMA__) && defined(PETSC_USE_REAL_DOUBLE) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_64BIT_INDICES)
2897       case 1:
2898         B->ops->mult    = MatMult_SeqBAIJ_9_AVX2;
2899         B->ops->multadd = MatMultAdd_SeqBAIJ_9_AVX2;
2900         PetscCall(PetscInfo((PetscObject)B,"Using AVX2 for MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",bs));
2901         break;
2902 #endif
2903       default:
2904         B->ops->mult    = MatMult_SeqBAIJ_N;
2905         B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2906         PetscCall(PetscInfo((PetscObject)B,"Using BLAS for MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",bs));
2907         break;
2908       }
2909       break;
2910     }
2911     case 11:
2912       B->ops->mult    = MatMult_SeqBAIJ_11;
2913       B->ops->multadd = MatMultAdd_SeqBAIJ_11;
2914       break;
2915     case 12:
2916     {
2917       PetscInt version = 1;
2918       PetscCall(PetscOptionsGetInt(NULL,((PetscObject)B)->prefix,"-mat_baij_mult_version",&version,NULL));
2919       switch (version) {
2920       case 1:
2921         B->ops->mult    = MatMult_SeqBAIJ_12_ver1;
2922         B->ops->multadd = MatMultAdd_SeqBAIJ_12_ver1;
2923         PetscCall(PetscInfo((PetscObject)B,"Using version %" PetscInt_FMT " of MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",version,bs));
2924         break;
2925       case 2:
2926         B->ops->mult    = MatMult_SeqBAIJ_12_ver2;
2927         B->ops->multadd = MatMultAdd_SeqBAIJ_12_ver2;
2928         PetscCall(PetscInfo((PetscObject)B,"Using version %" PetscInt_FMT " of MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",version,bs));
2929         break;
2930 #if defined(PETSC_HAVE_IMMINTRIN_H) && defined(__AVX2__) && defined(__FMA__) && defined(PETSC_USE_REAL_DOUBLE) && !defined(PETSC_USE_COMPLEX) && !defined(PETSC_USE_64BIT_INDICES)
2931       case 3:
2932         B->ops->mult    = MatMult_SeqBAIJ_12_AVX2;
2933         B->ops->multadd = MatMultAdd_SeqBAIJ_12_ver1;
2934         PetscCall(PetscInfo((PetscObject)B,"Using AVX2 for MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",bs));
2935         break;
2936 #endif
2937       default:
2938         B->ops->mult    = MatMult_SeqBAIJ_N;
2939         B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2940         PetscCall(PetscInfo((PetscObject)B,"Using BLAS for MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",bs));
2941         break;
2942       }
2943       break;
2944     }
2945     case 15:
2946     {
2947       PetscInt version = 1;
2948       PetscCall(PetscOptionsGetInt(NULL,((PetscObject)B)->prefix,"-mat_baij_mult_version",&version,NULL));
2949       switch (version) {
2950       case 1:
2951         B->ops->mult    = MatMult_SeqBAIJ_15_ver1;
2952         PetscCall(PetscInfo((PetscObject)B,"Using version %" PetscInt_FMT " of MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",version,bs));
2953         break;
2954       case 2:
2955         B->ops->mult    = MatMult_SeqBAIJ_15_ver2;
2956         PetscCall(PetscInfo((PetscObject)B,"Using version %" PetscInt_FMT " of MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",version,bs));
2957         break;
2958       case 3:
2959         B->ops->mult    = MatMult_SeqBAIJ_15_ver3;
2960         PetscCall(PetscInfo((PetscObject)B,"Using version %" PetscInt_FMT " of MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",version,bs));
2961         break;
2962       case 4:
2963         B->ops->mult    = MatMult_SeqBAIJ_15_ver4;
2964         PetscCall(PetscInfo((PetscObject)B,"Using version %" PetscInt_FMT " of MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",version,bs));
2965         break;
2966       default:
2967         B->ops->mult    = MatMult_SeqBAIJ_N;
2968         PetscCall(PetscInfo((PetscObject)B,"Using BLAS for MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",bs));
2969         break;
2970       }
2971       B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2972       break;
2973     }
2974     default:
2975       B->ops->mult    = MatMult_SeqBAIJ_N;
2976       B->ops->multadd = MatMultAdd_SeqBAIJ_N;
2977       PetscCall(PetscInfo((PetscObject)B,"Using BLAS for MatMult for BAIJ for blocksize %" PetscInt_FMT "\n",bs));
2978       break;
2979     }
2980   }
2981   B->ops->sor = MatSOR_SeqBAIJ;
2982   b->mbs = mbs;
2983   b->nbs = nbs;
2984   if (!skipallocation) {
2985     if (!b->imax) {
2986       PetscCall(PetscMalloc2(mbs,&b->imax,mbs,&b->ilen));
2987       PetscCall(PetscLogObjectMemory((PetscObject)B,2*mbs*sizeof(PetscInt)));
2988 
2989       b->free_imax_ilen = PETSC_TRUE;
2990     }
2991     /* b->ilen will count nonzeros in each block row so far. */
2992     for (i=0; i<mbs; i++) b->ilen[i] = 0;
2993     if (!nnz) {
2994       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2995       else if (nz < 0) nz = 1;
2996       nz = PetscMin(nz,nbs);
2997       for (i=0; i<mbs; i++) b->imax[i] = nz;
2998       PetscCall(PetscIntMultError(nz,mbs,&nz));
2999     } else {
3000       PetscInt64 nz64 = 0;
3001       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz64 += nnz[i];}
3002       PetscCall(PetscIntCast(nz64,&nz));
3003     }
3004 
3005     /* allocate the matrix space */
3006     PetscCall(MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i));
3007     if (B->structure_only) {
3008       PetscCall(PetscMalloc1(nz,&b->j));
3009       PetscCall(PetscMalloc1(B->rmap->N+1,&b->i));
3010       PetscCall(PetscLogObjectMemory((PetscObject)B,(B->rmap->N+1)*sizeof(PetscInt)+nz*sizeof(PetscInt)));
3011     } else {
3012       PetscInt nzbs2 = 0;
3013       PetscCall(PetscIntMultError(nz,bs2,&nzbs2));
3014       PetscCall(PetscMalloc3(nzbs2,&b->a,nz,&b->j,B->rmap->N+1,&b->i));
3015       PetscCall(PetscLogObjectMemory((PetscObject)B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt))));
3016       PetscCall(PetscArrayzero(b->a,nz*bs2));
3017     }
3018     PetscCall(PetscArrayzero(b->j,nz));
3019 
3020     if (B->structure_only) {
3021       b->singlemalloc = PETSC_FALSE;
3022       b->free_a       = PETSC_FALSE;
3023     } else {
3024       b->singlemalloc = PETSC_TRUE;
3025       b->free_a       = PETSC_TRUE;
3026     }
3027     b->free_ij = PETSC_TRUE;
3028 
3029     b->i[0] = 0;
3030     for (i=1; i<mbs+1; i++) {
3031       b->i[i] = b->i[i-1] + b->imax[i-1];
3032     }
3033 
3034   } else {
3035     b->free_a  = PETSC_FALSE;
3036     b->free_ij = PETSC_FALSE;
3037   }
3038 
3039   b->bs2              = bs2;
3040   b->mbs              = mbs;
3041   b->nz               = 0;
3042   b->maxnz            = nz;
3043   B->info.nz_unneeded = (PetscReal)b->maxnz*bs2;
3044   B->was_assembled    = PETSC_FALSE;
3045   B->assembled        = PETSC_FALSE;
3046   if (realalloc) PetscCall(MatSetOption(B,MAT_NEW_NONZERO_ALLOCATION_ERR,PETSC_TRUE));
3047   PetscFunctionReturn(0);
3048 }
3049 
3050 PetscErrorCode MatSeqBAIJSetPreallocationCSR_SeqBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
3051 {
3052   PetscInt       i,m,nz,nz_max=0,*nnz;
3053   PetscScalar    *values=NULL;
3054   PetscBool      roworiented = ((Mat_SeqBAIJ*)B->data)->roworiented;
3055 
3056   PetscFunctionBegin;
3057   PetscCheck(bs >= 1,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %" PetscInt_FMT,bs);
3058   PetscCall(PetscLayoutSetBlockSize(B->rmap,bs));
3059   PetscCall(PetscLayoutSetBlockSize(B->cmap,bs));
3060   PetscCall(PetscLayoutSetUp(B->rmap));
3061   PetscCall(PetscLayoutSetUp(B->cmap));
3062   PetscCall(PetscLayoutGetBlockSize(B->rmap,&bs));
3063   m    = B->rmap->n/bs;
3064 
3065   PetscCheck(ii[0] == 0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "ii[0] must be 0 but it is %" PetscInt_FMT,ii[0]);
3066   PetscCall(PetscMalloc1(m+1, &nnz));
3067   for (i=0; i<m; i++) {
3068     nz = ii[i+1]- ii[i];
3069     PetscCheck(nz >= 0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE, "Local row %" PetscInt_FMT " has a negative number of columns %" PetscInt_FMT,i,nz);
3070     nz_max = PetscMax(nz_max, nz);
3071     nnz[i] = nz;
3072   }
3073   PetscCall(MatSeqBAIJSetPreallocation(B,bs,0,nnz));
3074   PetscCall(PetscFree(nnz));
3075 
3076   values = (PetscScalar*)V;
3077   if (!values) {
3078     PetscCall(PetscCalloc1(bs*bs*(nz_max+1),&values));
3079   }
3080   for (i=0; i<m; i++) {
3081     PetscInt          ncols  = ii[i+1] - ii[i];
3082     const PetscInt    *icols = jj + ii[i];
3083     if (bs == 1 || !roworiented) {
3084       const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
3085       PetscCall(MatSetValuesBlocked_SeqBAIJ(B,1,&i,ncols,icols,svals,INSERT_VALUES));
3086     } else {
3087       PetscInt j;
3088       for (j=0; j<ncols; j++) {
3089         const PetscScalar *svals = values + (V ? (bs*bs*(ii[i]+j)) : 0);
3090         PetscCall(MatSetValuesBlocked_SeqBAIJ(B,1,&i,1,&icols[j],svals,INSERT_VALUES));
3091       }
3092     }
3093   }
3094   if (!V) PetscCall(PetscFree(values));
3095   PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
3096   PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
3097   PetscCall(MatSetOption(B,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE));
3098   PetscFunctionReturn(0);
3099 }
3100 
3101 /*@C
3102    MatSeqBAIJGetArray - gives access to the array where the data for a MATSEQBAIJ matrix is stored
3103 
3104    Not Collective
3105 
3106    Input Parameter:
3107 .  mat - a MATSEQBAIJ matrix
3108 
3109    Output Parameter:
3110 .   array - pointer to the data
3111 
3112    Level: intermediate
3113 
3114 .seealso: `MatSeqBAIJRestoreArray()`, `MatSeqAIJGetArray()`, `MatSeqAIJRestoreArray()`
3115 @*/
3116 PetscErrorCode MatSeqBAIJGetArray(Mat A,PetscScalar **array)
3117 {
3118   PetscFunctionBegin;
3119   PetscUseMethod(A,"MatSeqBAIJGetArray_C",(Mat,PetscScalar**),(A,array));
3120   PetscFunctionReturn(0);
3121 }
3122 
3123 /*@C
3124    MatSeqBAIJRestoreArray - returns access to the array where the data for a MATSEQBAIJ matrix is stored obtained by MatSeqBAIJGetArray()
3125 
3126    Not Collective
3127 
3128    Input Parameters:
3129 +  mat - a MATSEQBAIJ matrix
3130 -  array - pointer to the data
3131 
3132    Level: intermediate
3133 
3134 .seealso: `MatSeqBAIJGetArray()`, `MatSeqAIJGetArray()`, `MatSeqAIJRestoreArray()`
3135 @*/
3136 PetscErrorCode MatSeqBAIJRestoreArray(Mat A,PetscScalar **array)
3137 {
3138   PetscFunctionBegin;
3139   PetscUseMethod(A,"MatSeqBAIJRestoreArray_C",(Mat,PetscScalar**),(A,array));
3140   PetscFunctionReturn(0);
3141 }
3142 
3143 /*MC
3144    MATSEQBAIJ - MATSEQBAIJ = "seqbaij" - A matrix type to be used for sequential block sparse matrices, based on
3145    block sparse compressed row format.
3146 
3147    Options Database Keys:
3148 + -mat_type seqbaij - sets the matrix type to "seqbaij" during a call to MatSetFromOptions()
3149 - -mat_baij_mult_version version - indicate the version of the matrix-vector product to use (0 often indicates using BLAS)
3150 
3151    Level: beginner
3152 
3153    Notes:
3154     MatSetOptions(,MAT_STRUCTURE_ONLY,PETSC_TRUE) may be called for this matrix type. In this no
3155     space is allocated for the nonzero entries and any entries passed with MatSetValues() are ignored
3156 
3157    Run with -info to see what version of the matrix-vector product is being used
3158 
3159 .seealso: `MatCreateSeqBAIJ()`
3160 M*/
3161 
3162 PETSC_INTERN PetscErrorCode MatConvert_SeqBAIJ_SeqBSTRM(Mat, MatType,MatReuse,Mat*);
3163 
3164 PETSC_EXTERN PetscErrorCode MatCreate_SeqBAIJ(Mat B)
3165 {
3166   PetscMPIInt    size;
3167   Mat_SeqBAIJ    *b;
3168 
3169   PetscFunctionBegin;
3170   PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)B),&size));
3171   PetscCheck(size == 1,PETSC_COMM_SELF,PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
3172 
3173   PetscCall(PetscNewLog(B,&b));
3174   B->data = (void*)b;
3175   PetscCall(PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps)));
3176 
3177   b->row          = NULL;
3178   b->col          = NULL;
3179   b->icol         = NULL;
3180   b->reallocs     = 0;
3181   b->saved_values = NULL;
3182 
3183   b->roworiented        = PETSC_TRUE;
3184   b->nonew              = 0;
3185   b->diag               = NULL;
3186   B->spptr              = NULL;
3187   B->info.nz_unneeded   = (PetscReal)b->maxnz*b->bs2;
3188   b->keepnonzeropattern = PETSC_FALSE;
3189 
3190   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJGetArray_C",MatSeqBAIJGetArray_SeqBAIJ));
3191   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJRestoreArray_C",MatSeqBAIJRestoreArray_SeqBAIJ));
3192   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatStoreValues_C",MatStoreValues_SeqBAIJ));
3193   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatRetrieveValues_C",MatRetrieveValues_SeqBAIJ));
3194   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetColumnIndices_C",MatSeqBAIJSetColumnIndices_SeqBAIJ));
3195   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_seqaij_C",MatConvert_SeqBAIJ_SeqAIJ));
3196   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_seqsbaij_C",MatConvert_SeqBAIJ_SeqSBAIJ));
3197   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetPreallocation_C",MatSeqBAIJSetPreallocation_SeqBAIJ));
3198   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",MatSeqBAIJSetPreallocationCSR_SeqBAIJ));
3199   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatIsTranspose_C",MatIsTranspose_SeqBAIJ));
3200 #if defined(PETSC_HAVE_HYPRE)
3201   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_hypre_C",MatConvert_AIJ_HYPRE));
3202 #endif
3203   PetscCall(PetscObjectComposeFunction((PetscObject)B,"MatConvert_seqbaij_is_C",MatConvert_XAIJ_IS));
3204   PetscCall(PetscObjectChangeTypeName((PetscObject)B,MATSEQBAIJ));
3205   PetscFunctionReturn(0);
3206 }
3207 
3208 PetscErrorCode MatDuplicateNoCreate_SeqBAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscBool mallocmatspace)
3209 {
3210   Mat_SeqBAIJ    *c = (Mat_SeqBAIJ*)C->data,*a = (Mat_SeqBAIJ*)A->data;
3211   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 = a->bs2;
3212 
3213   PetscFunctionBegin;
3214   PetscCheck(a->i[mbs] == nz,PETSC_COMM_SELF,PETSC_ERR_PLIB,"Corrupt matrix");
3215 
3216   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3217     c->imax           = a->imax;
3218     c->ilen           = a->ilen;
3219     c->free_imax_ilen = PETSC_FALSE;
3220   } else {
3221     PetscCall(PetscMalloc2(mbs,&c->imax,mbs,&c->ilen));
3222     PetscCall(PetscLogObjectMemory((PetscObject)C,2*mbs*sizeof(PetscInt)));
3223     for (i=0; i<mbs; i++) {
3224       c->imax[i] = a->imax[i];
3225       c->ilen[i] = a->ilen[i];
3226     }
3227     c->free_imax_ilen = PETSC_TRUE;
3228   }
3229 
3230   /* allocate the matrix space */
3231   if (mallocmatspace) {
3232     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3233       PetscCall(PetscCalloc1(bs2*nz,&c->a));
3234       PetscCall(PetscLogObjectMemory((PetscObject)C,a->i[mbs]*bs2*sizeof(PetscScalar)));
3235 
3236       c->i            = a->i;
3237       c->j            = a->j;
3238       c->singlemalloc = PETSC_FALSE;
3239       c->free_a       = PETSC_TRUE;
3240       c->free_ij      = PETSC_FALSE;
3241       c->parent       = A;
3242       C->preallocated = PETSC_TRUE;
3243       C->assembled    = PETSC_TRUE;
3244 
3245       PetscCall(PetscObjectReference((PetscObject)A));
3246       PetscCall(MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE));
3247       PetscCall(MatSetOption(C,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE));
3248     } else {
3249       PetscCall(PetscMalloc3(bs2*nz,&c->a,nz,&c->j,mbs+1,&c->i));
3250       PetscCall(PetscLogObjectMemory((PetscObject)C,a->i[mbs]*(bs2*sizeof(PetscScalar)+sizeof(PetscInt))+(mbs+1)*sizeof(PetscInt)));
3251 
3252       c->singlemalloc = PETSC_TRUE;
3253       c->free_a       = PETSC_TRUE;
3254       c->free_ij      = PETSC_TRUE;
3255 
3256       PetscCall(PetscArraycpy(c->i,a->i,mbs+1));
3257       if (mbs > 0) {
3258         PetscCall(PetscArraycpy(c->j,a->j,nz));
3259         if (cpvalues == MAT_COPY_VALUES) {
3260           PetscCall(PetscArraycpy(c->a,a->a,bs2*nz));
3261         } else {
3262           PetscCall(PetscArrayzero(c->a,bs2*nz));
3263         }
3264       }
3265       C->preallocated = PETSC_TRUE;
3266       C->assembled    = PETSC_TRUE;
3267     }
3268   }
3269 
3270   c->roworiented = a->roworiented;
3271   c->nonew       = a->nonew;
3272 
3273   PetscCall(PetscLayoutReference(A->rmap,&C->rmap));
3274   PetscCall(PetscLayoutReference(A->cmap,&C->cmap));
3275 
3276   c->bs2         = a->bs2;
3277   c->mbs         = a->mbs;
3278   c->nbs         = a->nbs;
3279 
3280   if (a->diag) {
3281     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3282       c->diag      = a->diag;
3283       c->free_diag = PETSC_FALSE;
3284     } else {
3285       PetscCall(PetscMalloc1(mbs+1,&c->diag));
3286       PetscCall(PetscLogObjectMemory((PetscObject)C,(mbs+1)*sizeof(PetscInt)));
3287       for (i=0; i<mbs; i++) c->diag[i] = a->diag[i];
3288       c->free_diag = PETSC_TRUE;
3289     }
3290   } else c->diag = NULL;
3291 
3292   c->nz         = a->nz;
3293   c->maxnz      = a->nz;         /* Since we allocate exactly the right amount */
3294   c->solve_work = NULL;
3295   c->mult_work  = NULL;
3296   c->sor_workt  = NULL;
3297   c->sor_work   = NULL;
3298 
3299   c->compressedrow.use   = a->compressedrow.use;
3300   c->compressedrow.nrows = a->compressedrow.nrows;
3301   if (a->compressedrow.use) {
3302     i    = a->compressedrow.nrows;
3303     PetscCall(PetscMalloc2(i+1,&c->compressedrow.i,i+1,&c->compressedrow.rindex));
3304     PetscCall(PetscLogObjectMemory((PetscObject)C,(2*i+1)*sizeof(PetscInt)));
3305     PetscCall(PetscArraycpy(c->compressedrow.i,a->compressedrow.i,i+1));
3306     PetscCall(PetscArraycpy(c->compressedrow.rindex,a->compressedrow.rindex,i));
3307   } else {
3308     c->compressedrow.use    = PETSC_FALSE;
3309     c->compressedrow.i      = NULL;
3310     c->compressedrow.rindex = NULL;
3311   }
3312   C->nonzerostate = A->nonzerostate;
3313 
3314   PetscCall(PetscFunctionListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist));
3315   PetscFunctionReturn(0);
3316 }
3317 
3318 PetscErrorCode MatDuplicate_SeqBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
3319 {
3320   PetscFunctionBegin;
3321   PetscCall(MatCreate(PetscObjectComm((PetscObject)A),B));
3322   PetscCall(MatSetSizes(*B,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n));
3323   PetscCall(MatSetType(*B,MATSEQBAIJ));
3324   PetscCall(MatDuplicateNoCreate_SeqBAIJ(*B,A,cpvalues,PETSC_TRUE));
3325   PetscFunctionReturn(0);
3326 }
3327 
3328 /* Used for both SeqBAIJ and SeqSBAIJ matrices */
3329 PetscErrorCode MatLoad_SeqBAIJ_Binary(Mat mat,PetscViewer viewer)
3330 {
3331   PetscInt       header[4],M,N,nz,bs,m,n,mbs,nbs,rows,cols,sum,i,j,k;
3332   PetscInt       *rowidxs,*colidxs;
3333   PetscScalar    *matvals;
3334 
3335   PetscFunctionBegin;
3336   PetscCall(PetscViewerSetUp(viewer));
3337 
3338   /* read matrix header */
3339   PetscCall(PetscViewerBinaryRead(viewer,header,4,NULL,PETSC_INT));
3340   PetscCheck(header[0] == MAT_FILE_CLASSID,PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Not a matrix object in file");
3341   M = header[1]; N = header[2]; nz = header[3];
3342   PetscCheck(M >= 0,PetscObjectComm((PetscObject)viewer),PETSC_ERR_FILE_UNEXPECTED,"Matrix row size (%" PetscInt_FMT ") in file is negative",M);
3343   PetscCheck(N >= 0,PetscObjectComm((PetscObject)viewer),PETSC_ERR_FILE_UNEXPECTED,"Matrix column size (%" PetscInt_FMT ") in file is negative",N);
3344   PetscCheck(nz >= 0,PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format on disk, cannot load as SeqBAIJ");
3345 
3346   /* set block sizes from the viewer's .info file */
3347   PetscCall(MatLoad_Binary_BlockSizes(mat,viewer));
3348   /* set local and global sizes if not set already */
3349   if (mat->rmap->n < 0) mat->rmap->n = M;
3350   if (mat->cmap->n < 0) mat->cmap->n = N;
3351   if (mat->rmap->N < 0) mat->rmap->N = M;
3352   if (mat->cmap->N < 0) mat->cmap->N = N;
3353   PetscCall(PetscLayoutSetUp(mat->rmap));
3354   PetscCall(PetscLayoutSetUp(mat->cmap));
3355 
3356   /* check if the matrix sizes are correct */
3357   PetscCall(MatGetSize(mat,&rows,&cols));
3358   PetscCheck(M == rows && N == cols,PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED, "Matrix in file of different sizes (%" PetscInt_FMT ", %" PetscInt_FMT ") than the input matrix (%" PetscInt_FMT ", %" PetscInt_FMT ")",M,N,rows,cols);
3359   PetscCall(MatGetBlockSize(mat,&bs));
3360   PetscCall(MatGetLocalSize(mat,&m,&n));
3361   mbs = m/bs; nbs = n/bs;
3362 
3363   /* read in row lengths, column indices and nonzero values */
3364   PetscCall(PetscMalloc1(m+1,&rowidxs));
3365   PetscCall(PetscViewerBinaryRead(viewer,rowidxs+1,m,NULL,PETSC_INT));
3366   rowidxs[0] = 0; for (i=0; i<m; i++) rowidxs[i+1] += rowidxs[i];
3367   sum = rowidxs[m];
3368   PetscCheck(sum == nz,PETSC_COMM_SELF,PETSC_ERR_FILE_UNEXPECTED,"Inconsistent matrix data in file: nonzeros = %" PetscInt_FMT ", sum-row-lengths = %" PetscInt_FMT,nz,sum);
3369 
3370   /* read in column indices and nonzero values */
3371   PetscCall(PetscMalloc2(rowidxs[m],&colidxs,nz,&matvals));
3372   PetscCall(PetscViewerBinaryRead(viewer,colidxs,rowidxs[m],NULL,PETSC_INT));
3373   PetscCall(PetscViewerBinaryRead(viewer,matvals,rowidxs[m],NULL,PETSC_SCALAR));
3374 
3375   { /* preallocate matrix storage */
3376     PetscBT   bt; /* helper bit set to count nonzeros */
3377     PetscInt  *nnz;
3378     PetscBool sbaij;
3379 
3380     PetscCall(PetscBTCreate(nbs,&bt));
3381     PetscCall(PetscCalloc1(mbs,&nnz));
3382     PetscCall(PetscObjectTypeCompare((PetscObject)mat,MATSEQSBAIJ,&sbaij));
3383     for (i=0; i<mbs; i++) {
3384       PetscCall(PetscBTMemzero(nbs,bt));
3385       for (k=0; k<bs; k++) {
3386         PetscInt row = bs*i + k;
3387         for (j=rowidxs[row]; j<rowidxs[row+1]; j++) {
3388           PetscInt col = colidxs[j];
3389           if (!sbaij || col >= row)
3390             if (!PetscBTLookupSet(bt,col/bs)) nnz[i]++;
3391         }
3392       }
3393     }
3394     PetscCall(PetscBTDestroy(&bt));
3395     PetscCall(MatSeqBAIJSetPreallocation(mat,bs,0,nnz));
3396     PetscCall(MatSeqSBAIJSetPreallocation(mat,bs,0,nnz));
3397     PetscCall(PetscFree(nnz));
3398   }
3399 
3400   /* store matrix values */
3401   for (i=0; i<m; i++) {
3402     PetscInt row = i, s = rowidxs[i], e = rowidxs[i+1];
3403     PetscCall((*mat->ops->setvalues)(mat,1,&row,e-s,colidxs+s,matvals+s,INSERT_VALUES));
3404   }
3405 
3406   PetscCall(PetscFree(rowidxs));
3407   PetscCall(PetscFree2(colidxs,matvals));
3408   PetscCall(MatAssemblyBegin(mat,MAT_FINAL_ASSEMBLY));
3409   PetscCall(MatAssemblyEnd(mat,MAT_FINAL_ASSEMBLY));
3410   PetscFunctionReturn(0);
3411 }
3412 
3413 PetscErrorCode MatLoad_SeqBAIJ(Mat mat,PetscViewer viewer)
3414 {
3415   PetscBool isbinary;
3416 
3417   PetscFunctionBegin;
3418   PetscCall(PetscObjectTypeCompare((PetscObject)viewer,PETSCVIEWERBINARY,&isbinary));
3419   PetscCheck(isbinary,PetscObjectComm((PetscObject)viewer),PETSC_ERR_SUP,"Viewer type %s not yet supported for reading %s matrices",((PetscObject)viewer)->type_name,((PetscObject)mat)->type_name);
3420   PetscCall(MatLoad_SeqBAIJ_Binary(mat,viewer));
3421   PetscFunctionReturn(0);
3422 }
3423 
3424 /*@C
3425    MatCreateSeqBAIJ - Creates a sparse matrix in block AIJ (block
3426    compressed row) format.  For good matrix assembly performance the
3427    user should preallocate the matrix storage by setting the parameter nz
3428    (or the array nnz).  By setting these parameters accurately, performance
3429    during matrix assembly can be increased by more than a factor of 50.
3430 
3431    Collective
3432 
3433    Input Parameters:
3434 +  comm - MPI communicator, set to PETSC_COMM_SELF
3435 .  bs - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3436           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3437 .  m - number of rows
3438 .  n - number of columns
3439 .  nz - number of nonzero blocks  per block row (same for all rows)
3440 -  nnz - array containing the number of nonzero blocks in the various block rows
3441          (possibly different for each block row) or NULL
3442 
3443    Output Parameter:
3444 .  A - the matrix
3445 
3446    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3447    MatXXXXSetPreallocation() paradigm instead of this routine directly.
3448    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3449 
3450    Options Database Keys:
3451 +   -mat_no_unroll - uses code that does not unroll the loops in the
3452                      block calculations (much slower)
3453 -    -mat_block_size - size of the blocks to use
3454 
3455    Level: intermediate
3456 
3457    Notes:
3458    The number of rows and columns must be divisible by blocksize.
3459 
3460    If the nnz parameter is given then the nz parameter is ignored
3461 
3462    A nonzero block is any block that as 1 or more nonzeros in it
3463 
3464    The block AIJ format is fully compatible with standard Fortran 77
3465    storage.  That is, the stored row and column indices can begin at
3466    either one (as in Fortran) or zero.  See the users' manual for details.
3467 
3468    Specify the preallocated storage with either nz or nnz (not both).
3469    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3470    allocation.  See Users-Manual: ch_mat for details.
3471    matrices.
3472 
3473 .seealso: `MatCreate()`, `MatCreateSeqAIJ()`, `MatSetValues()`, `MatCreateBAIJ()`
3474 @*/
3475 PetscErrorCode  MatCreateSeqBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3476 {
3477   PetscFunctionBegin;
3478   PetscCall(MatCreate(comm,A));
3479   PetscCall(MatSetSizes(*A,m,n,m,n));
3480   PetscCall(MatSetType(*A,MATSEQBAIJ));
3481   PetscCall(MatSeqBAIJSetPreallocation(*A,bs,nz,(PetscInt*)nnz));
3482   PetscFunctionReturn(0);
3483 }
3484 
3485 /*@C
3486    MatSeqBAIJSetPreallocation - Sets the block size and expected nonzeros
3487    per row in the matrix. For good matrix assembly performance the
3488    user should preallocate the matrix storage by setting the parameter nz
3489    (or the array nnz).  By setting these parameters accurately, performance
3490    during matrix assembly can be increased by more than a factor of 50.
3491 
3492    Collective
3493 
3494    Input Parameters:
3495 +  B - the matrix
3496 .  bs - size of block, the blocks are ALWAYS square. One can use MatSetBlockSizes() to set a different row and column blocksize but the row
3497           blocksize always defines the size of the blocks. The column blocksize sets the blocksize of the vectors obtained with MatCreateVecs()
3498 .  nz - number of block nonzeros per block row (same for all rows)
3499 -  nnz - array containing the number of block nonzeros in the various block rows
3500          (possibly different for each block row) or NULL
3501 
3502    Options Database Keys:
3503 +   -mat_no_unroll - uses code that does not unroll the loops in the
3504                      block calculations (much slower)
3505 -   -mat_block_size - size of the blocks to use
3506 
3507    Level: intermediate
3508 
3509    Notes:
3510    If the nnz parameter is given then the nz parameter is ignored
3511 
3512    You can call MatGetInfo() to get information on how effective the preallocation was;
3513    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3514    You can also run with the option -info and look for messages with the string
3515    malloc in them to see if additional memory allocation was needed.
3516 
3517    The block AIJ format is fully compatible with standard Fortran 77
3518    storage.  That is, the stored row and column indices can begin at
3519    either one (as in Fortran) or zero.  See the users' manual for details.
3520 
3521    Specify the preallocated storage with either nz or nnz (not both).
3522    Set nz=PETSC_DEFAULT and nnz=NULL for PETSc to control dynamic memory
3523    allocation.  See Users-Manual: ch_mat for details.
3524 
3525 .seealso: `MatCreate()`, `MatCreateSeqAIJ()`, `MatSetValues()`, `MatCreateBAIJ()`, `MatGetInfo()`
3526 @*/
3527 PetscErrorCode  MatSeqBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
3528 {
3529   PetscFunctionBegin;
3530   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3531   PetscValidType(B,1);
3532   PetscValidLogicalCollectiveInt(B,bs,2);
3533   PetscTryMethod(B,"MatSeqBAIJSetPreallocation_C",(Mat,PetscInt,PetscInt,const PetscInt[]),(B,bs,nz,nnz));
3534   PetscFunctionReturn(0);
3535 }
3536 
3537 /*@C
3538    MatSeqBAIJSetPreallocationCSR - Creates a sparse parallel matrix in BAIJ format using the given nonzero structure and (optional) numerical values
3539 
3540    Collective
3541 
3542    Input Parameters:
3543 +  B - the matrix
3544 .  i - the indices into j for the start of each local row (starts with zero)
3545 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3546 -  v - optional values in the matrix
3547 
3548    Level: advanced
3549 
3550    Notes:
3551    The order of the entries in values is specified by the MatOption MAT_ROW_ORIENTED.  For example, C programs
3552    may want to use the default MAT_ROW_ORIENTED=PETSC_TRUE and use an array v[nnz][bs][bs] where the second index is
3553    over rows within a block and the last index is over columns within a block row.  Fortran programs will likely set
3554    MAT_ROW_ORIENTED=PETSC_FALSE and use a Fortran array v(bs,bs,nnz) in which the first index is over rows within a
3555    block column and the second index is over columns within a block.
3556 
3557    Though this routine has Preallocation() in the name it also sets the exact nonzero locations of the matrix entries and usually the numerical values as well
3558 
3559 .seealso: `MatCreate()`, `MatCreateSeqBAIJ()`, `MatSetValues()`, `MatSeqBAIJSetPreallocation()`, `MATSEQBAIJ`
3560 @*/
3561 PetscErrorCode  MatSeqBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3562 {
3563   PetscFunctionBegin;
3564   PetscValidHeaderSpecific(B,MAT_CLASSID,1);
3565   PetscValidType(B,1);
3566   PetscValidLogicalCollectiveInt(B,bs,2);
3567   PetscTryMethod(B,"MatSeqBAIJSetPreallocationCSR_C",(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]),(B,bs,i,j,v));
3568   PetscFunctionReturn(0);
3569 }
3570 
3571 /*@
3572      MatCreateSeqBAIJWithArrays - Creates an sequential BAIJ matrix using matrix elements provided by the user.
3573 
3574      Collective
3575 
3576    Input Parameters:
3577 +  comm - must be an MPI communicator of size 1
3578 .  bs - size of block
3579 .  m - number of rows
3580 .  n - number of columns
3581 .  i - row indices; that is i[0] = 0, i[row] = i[row-1] + number of elements in that row block row of the matrix
3582 .  j - column indices
3583 -  a - matrix values
3584 
3585    Output Parameter:
3586 .  mat - the matrix
3587 
3588    Level: advanced
3589 
3590    Notes:
3591        The i, j, and a arrays are not copied by this routine, the user must free these arrays
3592     once the matrix is destroyed
3593 
3594        You cannot set new nonzero locations into this matrix, that will generate an error.
3595 
3596        The i and j indices are 0 based
3597 
3598        When block size is greater than 1 the matrix values must be stored using the BAIJ storage format (see the BAIJ code to determine this).
3599 
3600       The order of the entries in values is the same as the block compressed sparse row storage format; that is, it is
3601       the same as a three dimensional array in Fortran values(bs,bs,nnz) that contains the first column of the first
3602       block, followed by the second column of the first block etc etc.  That is, the blocks are contiguous in memory
3603       with column-major ordering within blocks.
3604 
3605 .seealso: `MatCreate()`, `MatCreateBAIJ()`, `MatCreateSeqBAIJ()`
3606 
3607 @*/
3608 PetscErrorCode  MatCreateSeqBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt i[],PetscInt j[],PetscScalar a[],Mat *mat)
3609 {
3610   PetscInt       ii;
3611   Mat_SeqBAIJ    *baij;
3612 
3613   PetscFunctionBegin;
3614   PetscCheck(bs == 1,PETSC_COMM_SELF,PETSC_ERR_SUP,"block size %" PetscInt_FMT " > 1 is not supported yet",bs);
3615   if (m > 0) PetscCheck(i[0] == 0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3616 
3617   PetscCall(MatCreate(comm,mat));
3618   PetscCall(MatSetSizes(*mat,m,n,m,n));
3619   PetscCall(MatSetType(*mat,MATSEQBAIJ));
3620   PetscCall(MatSeqBAIJSetPreallocation(*mat,bs,MAT_SKIP_ALLOCATION,NULL));
3621   baij = (Mat_SeqBAIJ*)(*mat)->data;
3622   PetscCall(PetscMalloc2(m,&baij->imax,m,&baij->ilen));
3623   PetscCall(PetscLogObjectMemory((PetscObject)*mat,2*m*sizeof(PetscInt)));
3624 
3625   baij->i = i;
3626   baij->j = j;
3627   baij->a = a;
3628 
3629   baij->singlemalloc = PETSC_FALSE;
3630   baij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
3631   baij->free_a       = PETSC_FALSE;
3632   baij->free_ij      = PETSC_FALSE;
3633 
3634   for (ii=0; ii<m; ii++) {
3635     baij->ilen[ii] = baij->imax[ii] = i[ii+1] - i[ii];
3636     PetscCheck(i[ii+1] - i[ii] >= 0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative row length in i (row indices) row = %" PetscInt_FMT " length = %" PetscInt_FMT,ii,i[ii+1] - i[ii]);
3637   }
3638   if (PetscDefined(USE_DEBUG)) {
3639     for (ii=0; ii<baij->i[m]; ii++) {
3640       PetscCheck(j[ii] >= 0,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %" PetscInt_FMT " index = %" PetscInt_FMT,ii,j[ii]);
3641       PetscCheck(j[ii] <= n - 1,PETSC_COMM_SELF,PETSC_ERR_ARG_OUTOFRANGE,"Column index to large at location = %" PetscInt_FMT " index = %" PetscInt_FMT,ii,j[ii]);
3642     }
3643   }
3644 
3645   PetscCall(MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY));
3646   PetscCall(MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY));
3647   PetscFunctionReturn(0);
3648 }
3649 
3650 PetscErrorCode MatCreateMPIMatConcatenateSeqMat_SeqBAIJ(MPI_Comm comm,Mat inmat,PetscInt n,MatReuse scall,Mat *outmat)
3651 {
3652   PetscFunctionBegin;
3653   PetscCall(MatCreateMPIMatConcatenateSeqMat_MPIBAIJ(comm,inmat,n,scall,outmat));
3654   PetscFunctionReturn(0);
3655 }
3656