xref: /petsc/src/mat/impls/baij/seq/baij.c (revision 7a4fe282d1b349e95b3be72d69d8dd3d3bcd7bc6)
1 #define PETSCMAT_DLL
2 
3 /*
4     Defines the basic matrix operations for the BAIJ (compressed row)
5   matrix storage format.
6 */
7 #include "../src/mat/impls/baij/seq/baij.h"
8 #include "../src/inline/spops.h"
9 #include "petscsys.h"                     /*I "petscmat.h" I*/
10 
11 #include "../src/inline/ilu.h"
12 
13 #undef __FUNCT__
14 #define __FUNCT__ "MatSeqBAIJInvertBlockDiagonal"
15 /*@
16   MatSeqBAIJInvertBlockDiagonal - Inverts the block diagonal entries.
17 
18   Collective on Mat
19 
20   Input Parameters:
21 . mat - the matrix
22 
23   Level: advanced
24 @*/
25 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJInvertBlockDiagonal(Mat mat)
26 {
27   PetscErrorCode ierr,(*f)(Mat);
28 
29   PetscFunctionBegin;
30   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
31   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
32   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
33 
34   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqBAIJInvertBlockDiagonal_C",(void (**)(void))&f);CHKERRQ(ierr);
35   if (f) {
36     ierr = (*f)(mat);CHKERRQ(ierr);
37   } else {
38     SETERRQ(PETSC_ERR_SUP,"Currently only implemented for SeqBAIJ.");
39   }
40   PetscFunctionReturn(0);
41 }
42 
43 EXTERN_C_BEGIN
44 #undef __FUNCT__
45 #define __FUNCT__ "MatInvertBlockDiagonal_SeqBAIJ"
46 PetscErrorCode PETSCMAT_DLLEXPORT MatInvertBlockDiagonal_SeqBAIJ(Mat A)
47 {
48   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*) A->data;
49   PetscErrorCode ierr;
50   PetscInt       *diag_offset,i,bs = A->rmap->bs,mbs = a->mbs;
51   MatScalar      *v = a->a,*odiag,*diag,*mdiag;
52   PetscReal      shift = 0.0;
53 
54   PetscFunctionBegin;
55   if (a->idiagvalid) PetscFunctionReturn(0);
56   ierr = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
57   diag_offset = a->diag;
58   if (!a->idiag) {
59     ierr = PetscMalloc(2*bs*bs*mbs*sizeof(PetscScalar),&a->idiag);CHKERRQ(ierr);
60   }
61   diag  = a->idiag;
62   mdiag = a->idiag+bs*bs*mbs;
63   /* factor and invert each block */
64   switch (bs){
65     case 2:
66       for (i=0; i<mbs; i++) {
67         odiag   = v + 4*diag_offset[i];
68         diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
69 	mdiag[0] = odiag[0]; mdiag[1] = odiag[1]; mdiag[2] = odiag[2]; mdiag[3] = odiag[3];
70 	ierr     = Kernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
71 	diag    += 4;
72 	mdiag   += 4;
73       }
74       break;
75     case 3:
76       for (i=0; i<mbs; i++) {
77         odiag    = v + 9*diag_offset[i];
78         diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
79         diag[4]  = odiag[4]; diag[5] = odiag[5]; diag[6] = odiag[6]; diag[7] = odiag[7];
80         diag[8]  = odiag[8];
81         mdiag[0] = odiag[0]; mdiag[1] = odiag[1]; mdiag[2] = odiag[2]; mdiag[3] = odiag[3];
82         mdiag[4] = odiag[4]; mdiag[5] = odiag[5]; mdiag[6] = odiag[6]; mdiag[7] = odiag[7];
83         mdiag[8] = odiag[8];
84 	ierr     = Kernel_A_gets_inverse_A_3(diag,shift);CHKERRQ(ierr);
85 	diag    += 9;
86 	mdiag   += 9;
87       }
88       break;
89     case 4:
90       for (i=0; i<mbs; i++) {
91         odiag  = v + 16*diag_offset[i];
92         ierr   = PetscMemcpy(diag,odiag,16*sizeof(PetscScalar));CHKERRQ(ierr);
93         ierr   = PetscMemcpy(mdiag,odiag,16*sizeof(PetscScalar));CHKERRQ(ierr);
94 	ierr   = Kernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
95 	diag  += 16;
96 	mdiag += 16;
97       }
98       break;
99     case 5:
100       for (i=0; i<mbs; i++) {
101         odiag = v + 25*diag_offset[i];
102         ierr   = PetscMemcpy(diag,odiag,25*sizeof(PetscScalar));CHKERRQ(ierr);
103         ierr   = PetscMemcpy(mdiag,odiag,25*sizeof(PetscScalar));CHKERRQ(ierr);
104 	ierr   = Kernel_A_gets_inverse_A_5(diag,shift);CHKERRQ(ierr);
105 	diag  += 25;
106 	mdiag += 25;
107       }
108       break;
109     default:
110       SETERRQ1(PETSC_ERR_SUP,"not supported for block size %D",bs);
111   }
112   a->idiagvalid = PETSC_TRUE;
113   PetscFunctionReturn(0);
114 }
115 EXTERN_C_END
116 
117 #undef __FUNCT__
118 #define __FUNCT__ "MatPBRelax_SeqBAIJ_1"
119 PetscErrorCode MatPBRelax_SeqBAIJ_1(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
120 {
121   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
122   PetscScalar        *x,x1,s1;
123   const PetscScalar  *b;
124   const MatScalar    *aa = a->a, *idiag,*mdiag,*v;
125   PetscErrorCode     ierr;
126   PetscInt           m = a->mbs,i,i2,nz,idx;
127   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
128 
129   PetscFunctionBegin;
130   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
131   its = its*lits;
132   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
133   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
134   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
135   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
136   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
137 
138   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
139 
140   diag  = a->diag;
141   idiag = a->idiag;
142   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
143   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
144 
145   if (flag & SOR_ZERO_INITIAL_GUESS) {
146     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
147       x[0] = b[0]*idiag[0];
148       i2     = 1;
149       idiag += 1;
150       for (i=1; i<m; i++) {
151         v     = aa + ai[i];
152         vi    = aj + ai[i];
153         nz    = diag[i] - ai[i];
154         s1    = b[i2];
155         while (nz--) {
156           idx  = (*vi++);
157           x1   = x[idx];
158           s1  -= v[0]*x1;
159           v   += 1;
160         }
161         x[i2]   = idiag[0]*s1;
162         idiag   += 1;
163         i2      += 1;
164       }
165       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
166       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
167     }
168     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
169         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
170       i2    = 0;
171       mdiag = a->idiag+a->mbs;
172       for (i=0; i<m; i++) {
173         x1      = x[i2];
174         x[i2]   = mdiag[0]*x1;
175         mdiag  += 1;
176         i2     += 1;
177       }
178       ierr = PetscLogFlops(m);CHKERRQ(ierr);
179     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
180       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
181     }
182     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
183       idiag   = a->idiag+a->mbs - 1;
184       i2      = m - 1;
185       x1      = x[i2];
186       x[i2]   = idiag[0]*x1;
187       idiag -= 1;
188       i2    -= 1;
189       for (i=m-2; i>=0; i--) {
190         v     = aa + (diag[i]+1);
191         vi    = aj + diag[i] + 1;
192         nz    = ai[i+1] - diag[i] - 1;
193         s1    = x[i2];
194         while (nz--) {
195           idx  = (*vi++);
196           x1   = x[idx];
197           s1  -= v[0]*x1;
198           v   += 1;
199         }
200         x[i2]   = idiag[0]*s1;
201         idiag   -= 2;
202         i2      -= 1;
203       }
204       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
205     }
206   } else {
207     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
208   }
209   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
210   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
211   PetscFunctionReturn(0);
212 }
213 
214 #undef __FUNCT__
215 #define __FUNCT__ "MatPBRelax_SeqBAIJ_2"
216 PetscErrorCode MatPBRelax_SeqBAIJ_2(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
217 {
218   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
219   PetscScalar        *x,x1,x2,s1,s2;
220   const PetscScalar  *b;
221   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
222   PetscErrorCode     ierr;
223   PetscInt           m = a->mbs,i,i2,nz,idx;
224   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
225 
226   PetscFunctionBegin;
227   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
228   its = its*lits;
229   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
230   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
231   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
232   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
233   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
234 
235   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
236 
237   diag  = a->diag;
238   idiag = a->idiag;
239   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
240   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
241 
242   if (flag & SOR_ZERO_INITIAL_GUESS) {
243     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
244       x[0] = b[0]*idiag[0] + b[1]*idiag[2];
245       x[1] = b[0]*idiag[1] + b[1]*idiag[3];
246       i2     = 2;
247       idiag += 4;
248       for (i=1; i<m; i++) {
249 	v     = aa + 4*ai[i];
250 	vi    = aj + ai[i];
251 	nz    = diag[i] - ai[i];
252 	s1    = b[i2]; s2 = b[i2+1];
253 	while (nz--) {
254 	  idx  = 2*(*vi++);
255 	  x1   = x[idx]; x2 = x[1+idx];
256 	  s1  -= v[0]*x1 + v[2]*x2;
257 	  s2  -= v[1]*x1 + v[3]*x2;
258 	  v   += 4;
259 	}
260 	x[i2]   = idiag[0]*s1 + idiag[2]*s2;
261 	x[i2+1] = idiag[1]*s1 + idiag[3]*s2;
262         idiag   += 4;
263         i2      += 2;
264       }
265       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
266       ierr = PetscLogFlops(4*(a->nz));CHKERRQ(ierr);
267     }
268     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
269         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
270       i2    = 0;
271       mdiag = a->idiag+4*a->mbs;
272       for (i=0; i<m; i++) {
273         x1      = x[i2]; x2 = x[i2+1];
274         x[i2]   = mdiag[0]*x1 + mdiag[2]*x2;
275         x[i2+1] = mdiag[1]*x1 + mdiag[3]*x2;
276         mdiag  += 4;
277         i2     += 2;
278       }
279       ierr = PetscLogFlops(6*m);CHKERRQ(ierr);
280     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
281       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
282     }
283     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
284       idiag   = a->idiag+4*a->mbs - 4;
285       i2      = 2*m - 2;
286       x1      = x[i2]; x2 = x[i2+1];
287       x[i2]   = idiag[0]*x1 + idiag[2]*x2;
288       x[i2+1] = idiag[1]*x1 + idiag[3]*x2;
289       idiag -= 4;
290       i2    -= 2;
291       for (i=m-2; i>=0; i--) {
292 	v     = aa + 4*(diag[i]+1);
293 	vi    = aj + diag[i] + 1;
294 	nz    = ai[i+1] - diag[i] - 1;
295 	s1    = x[i2]; s2 = x[i2+1];
296 	while (nz--) {
297 	  idx  = 2*(*vi++);
298 	  x1   = x[idx]; x2 = x[1+idx];
299 	  s1  -= v[0]*x1 + v[2]*x2;
300 	  s2  -= v[1]*x1 + v[3]*x2;
301 	  v   += 4;
302 	}
303 	x[i2]   = idiag[0]*s1 + idiag[2]*s2;
304 	x[i2+1] = idiag[1]*s1 + idiag[3]*s2;
305         idiag   -= 4;
306         i2      -= 2;
307       }
308       ierr = PetscLogFlops(4*(a->nz));CHKERRQ(ierr);
309     }
310   } else {
311     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
312   }
313   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
314   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
315   PetscFunctionReturn(0);
316 }
317 
318 #undef __FUNCT__
319 #define __FUNCT__ "MatPBRelax_SeqBAIJ_3"
320 PetscErrorCode MatPBRelax_SeqBAIJ_3(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
321 {
322   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
323   PetscScalar        *x,x1,x2,x3,s1,s2,s3;
324   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
325   const PetscScalar  *b;
326   PetscErrorCode     ierr;
327   PetscInt           m = a->mbs,i,i2,nz,idx;
328   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
329 
330   PetscFunctionBegin;
331   its = its*lits;
332   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
333   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
334   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
335   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
336   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
337   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
338 
339   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
340 
341   diag  = a->diag;
342   idiag = a->idiag;
343   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
344   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
345 
346   if (flag & SOR_ZERO_INITIAL_GUESS) {
347     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
348       x[0] = b[0]*idiag[0] + b[1]*idiag[3] + b[2]*idiag[6];
349       x[1] = b[0]*idiag[1] + b[1]*idiag[4] + b[2]*idiag[7];
350       x[2] = b[0]*idiag[2] + b[1]*idiag[5] + b[2]*idiag[8];
351       i2     = 3;
352       idiag += 9;
353       for (i=1; i<m; i++) {
354         v     = aa + 9*ai[i];
355         vi    = aj + ai[i];
356         nz    = diag[i] - ai[i];
357         s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2];
358         while (nz--) {
359           idx  = 3*(*vi++);
360           x1   = x[idx]; x2 = x[1+idx];x3 = x[2+idx];
361           s1  -= v[0]*x1 + v[3]*x2 + v[6]*x3;
362           s2  -= v[1]*x1 + v[4]*x2 + v[7]*x3;
363           s3  -= v[2]*x1 + v[5]*x2 + v[8]*x3;
364           v   += 9;
365         }
366         x[i2]   = idiag[0]*s1 + idiag[3]*s2 + idiag[6]*s3;
367         x[i2+1] = idiag[1]*s1 + idiag[4]*s2 + idiag[7]*s3;
368         x[i2+2] = idiag[2]*s1 + idiag[5]*s2 + idiag[8]*s3;
369         idiag   += 9;
370         i2      += 3;
371       }
372       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
373       ierr = PetscLogFlops(9*(a->nz));CHKERRQ(ierr);
374     }
375     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
376         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
377       i2    = 0;
378       mdiag = a->idiag+9*a->mbs;
379       for (i=0; i<m; i++) {
380         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2];
381         x[i2]   = mdiag[0]*x1 + mdiag[3]*x2 + mdiag[6]*x3;
382         x[i2+1] = mdiag[1]*x1 + mdiag[4]*x2 + mdiag[7]*x3;
383         x[i2+2] = mdiag[2]*x1 + mdiag[5]*x2 + mdiag[8]*x3;
384         mdiag  += 9;
385         i2     += 3;
386       }
387       ierr = PetscLogFlops(15*m);CHKERRQ(ierr);
388     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
389       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
390     }
391     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
392       idiag   = a->idiag+9*a->mbs - 9;
393       i2      = 3*m - 3;
394       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2];
395       x[i2]   = idiag[0]*x1 + idiag[3]*x2 + idiag[6]*x3;
396       x[i2+1] = idiag[1]*x1 + idiag[4]*x2 + idiag[7]*x3;
397       x[i2+2] = idiag[2]*x1 + idiag[5]*x2 + idiag[8]*x3;
398       idiag -= 9;
399       i2    -= 3;
400       for (i=m-2; i>=0; i--) {
401         v     = aa + 9*(diag[i]+1);
402         vi    = aj + diag[i] + 1;
403         nz    = ai[i+1] - diag[i] - 1;
404         s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2];
405         while (nz--) {
406           idx  = 3*(*vi++);
407           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx];
408           s1  -= v[0]*x1 + v[3]*x2 + v[6]*x3;
409           s2  -= v[1]*x1 + v[4]*x2 + v[7]*x3;
410           s3  -= v[2]*x1 + v[5]*x2 + v[8]*x3;
411           v   += 9;
412         }
413         x[i2]   = idiag[0]*s1 + idiag[3]*s2 + idiag[6]*s3;
414         x[i2+1] = idiag[1]*s1 + idiag[4]*s2 + idiag[7]*s3;
415         x[i2+2] = idiag[2]*s1 + idiag[5]*s2 + idiag[8]*s3;
416         idiag   -= 9;
417         i2      -= 3;
418       }
419       ierr = PetscLogFlops(9*(a->nz));CHKERRQ(ierr);
420     }
421   } else {
422     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
423   }
424   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
425   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
426   PetscFunctionReturn(0);
427 }
428 
429 #undef __FUNCT__
430 #define __FUNCT__ "MatPBRelax_SeqBAIJ_4"
431 PetscErrorCode MatPBRelax_SeqBAIJ_4(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
432 {
433   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
434   PetscScalar        *x,x1,x2,x3,x4,s1,s2,s3,s4;
435   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
436   const PetscScalar  *b;
437   PetscErrorCode     ierr;
438   PetscInt           m = a->mbs,i,i2,nz,idx;
439   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
440 
441   PetscFunctionBegin;
442   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
443   its = its*lits;
444   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
445   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
446   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
447   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
448   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
449 
450   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
451 
452   diag  = a->diag;
453   idiag = a->idiag;
454   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
455   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
456 
457   if (flag & SOR_ZERO_INITIAL_GUESS) {
458     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
459       x[0] = b[0]*idiag[0] + b[1]*idiag[4] + b[2]*idiag[8]  + b[3]*idiag[12];
460       x[1] = b[0]*idiag[1] + b[1]*idiag[5] + b[2]*idiag[9]  + b[3]*idiag[13];
461       x[2] = b[0]*idiag[2] + b[1]*idiag[6] + b[2]*idiag[10] + b[3]*idiag[14];
462       x[3] = b[0]*idiag[3] + b[1]*idiag[7] + b[2]*idiag[11] + b[3]*idiag[15];
463       i2     = 4;
464       idiag += 16;
465       for (i=1; i<m; i++) {
466 	v     = aa + 16*ai[i];
467 	vi    = aj + ai[i];
468 	nz    = diag[i] - ai[i];
469 	s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3];
470 	while (nz--) {
471 	  idx  = 4*(*vi++);
472 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx];
473 	  s1  -= v[0]*x1 + v[4]*x2 + v[8]*x3  + v[12]*x4;
474 	  s2  -= v[1]*x1 + v[5]*x2 + v[9]*x3  + v[13]*x4;
475 	  s3  -= v[2]*x1 + v[6]*x2 + v[10]*x3 + v[14]*x4;
476 	  s4  -= v[3]*x1 + v[7]*x2 + v[11]*x3 + v[15]*x4;
477 	  v   += 16;
478 	}
479 	x[i2]   = idiag[0]*s1 + idiag[4]*s2 + idiag[8]*s3  + idiag[12]*s4;
480 	x[i2+1] = idiag[1]*s1 + idiag[5]*s2 + idiag[9]*s3  + idiag[13]*s4;
481 	x[i2+2] = idiag[2]*s1 + idiag[6]*s2 + idiag[10]*s3 + idiag[14]*s4;
482 	x[i2+3] = idiag[3]*s1 + idiag[7]*s2 + idiag[11]*s3 + idiag[15]*s4;
483         idiag   += 16;
484         i2      += 4;
485       }
486       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
487       ierr = PetscLogFlops(16*(a->nz));CHKERRQ(ierr);
488     }
489     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
490         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
491       i2    = 0;
492       mdiag = a->idiag+16*a->mbs;
493       for (i=0; i<m; i++) {
494         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3];
495         x[i2]   = mdiag[0]*x1 + mdiag[4]*x2 + mdiag[8]*x3  + mdiag[12]*x4;
496         x[i2+1] = mdiag[1]*x1 + mdiag[5]*x2 + mdiag[9]*x3  + mdiag[13]*x4;
497         x[i2+2] = mdiag[2]*x1 + mdiag[6]*x2 + mdiag[10]*x3 + mdiag[14]*x4;
498         x[i2+3] = mdiag[3]*x1 + mdiag[7]*x2 + mdiag[11]*x3 + mdiag[15]*x4;
499         mdiag  += 16;
500         i2     += 4;
501       }
502       ierr = PetscLogFlops(28*m);CHKERRQ(ierr);
503     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
504       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
505     }
506     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
507       idiag   = a->idiag+16*a->mbs - 16;
508       i2      = 4*m - 4;
509       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3];
510       x[i2]   = idiag[0]*x1 + idiag[4]*x2 + idiag[8]*x3  + idiag[12]*x4;
511       x[i2+1] = idiag[1]*x1 + idiag[5]*x2 + idiag[9]*x3  + idiag[13]*x4;
512       x[i2+2] = idiag[2]*x1 + idiag[6]*x2 + idiag[10]*x3 + idiag[14]*x4;
513       x[i2+3] = idiag[3]*x1 + idiag[7]*x2 + idiag[11]*x3 + idiag[15]*x4;
514       idiag -= 16;
515       i2    -= 4;
516       for (i=m-2; i>=0; i--) {
517 	v     = aa + 16*(diag[i]+1);
518 	vi    = aj + diag[i] + 1;
519 	nz    = ai[i+1] - diag[i] - 1;
520 	s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3];
521 	while (nz--) {
522 	  idx  = 4*(*vi++);
523 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx];
524 	  s1  -= v[0]*x1 + v[4]*x2 + v[8]*x3  + v[12]*x4;
525 	  s2  -= v[1]*x1 + v[5]*x2 + v[9]*x3  + v[13]*x4;
526 	  s3  -= v[2]*x1 + v[6]*x2 + v[10]*x3 + v[14]*x4;
527 	  s4  -= v[3]*x1 + v[7]*x2 + v[11]*x3 + v[15]*x4;
528 	  v   += 16;
529 	}
530 	x[i2]   = idiag[0]*s1 + idiag[4]*s2 + idiag[8]*s3  + idiag[12]*s4;
531 	x[i2+1] = idiag[1]*s1 + idiag[5]*s2 + idiag[9]*s3  + idiag[13]*s4;
532 	x[i2+2] = idiag[2]*s1 + idiag[6]*s2 + idiag[10]*s3 + idiag[14]*s4;
533 	x[i2+3] = idiag[3]*s1 + idiag[7]*s2 + idiag[11]*s3 + idiag[15]*s4;
534         idiag   -= 16;
535         i2      -= 4;
536       }
537       ierr = PetscLogFlops(16*(a->nz));CHKERRQ(ierr);
538     }
539   } else {
540     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
541   }
542   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
543   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
544   PetscFunctionReturn(0);
545 }
546 
547 #undef __FUNCT__
548 #define __FUNCT__ "MatPBRelax_SeqBAIJ_5"
549 PetscErrorCode MatPBRelax_SeqBAIJ_5(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
550 {
551   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
552   PetscScalar        *x,x1,x2,x3,x4,x5,s1,s2,s3,s4,s5;
553   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
554   const PetscScalar  *b;
555   PetscErrorCode     ierr;
556   PetscInt           m = a->mbs,i,i2,nz,idx;
557   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
558 
559   PetscFunctionBegin;
560   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
561   its = its*lits;
562   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
563   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
564   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
565   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
566   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
567 
568   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
569 
570   diag  = a->diag;
571   idiag = a->idiag;
572   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
573   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
574 
575   if (flag & SOR_ZERO_INITIAL_GUESS) {
576     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
577       x[0] = b[0]*idiag[0] + b[1]*idiag[5] + b[2]*idiag[10] + b[3]*idiag[15] + b[4]*idiag[20];
578       x[1] = b[0]*idiag[1] + b[1]*idiag[6] + b[2]*idiag[11] + b[3]*idiag[16] + b[4]*idiag[21];
579       x[2] = b[0]*idiag[2] + b[1]*idiag[7] + b[2]*idiag[12] + b[3]*idiag[17] + b[4]*idiag[22];
580       x[3] = b[0]*idiag[3] + b[1]*idiag[8] + b[2]*idiag[13] + b[3]*idiag[18] + b[4]*idiag[23];
581       x[4] = b[0]*idiag[4] + b[1]*idiag[9] + b[2]*idiag[14] + b[3]*idiag[19] + b[4]*idiag[24];
582       i2     = 5;
583       idiag += 25;
584       for (i=1; i<m; i++) {
585 	v     = aa + 25*ai[i];
586 	vi    = aj + ai[i];
587 	nz    = diag[i] - ai[i];
588 	s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3]; s5 = b[i2+4];
589 	while (nz--) {
590 	  idx  = 5*(*vi++);
591 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx];
592 	  s1  -= v[0]*x1 + v[5]*x2 + v[10]*x3 + v[15]*x4 + v[20]*x5;
593 	  s2  -= v[1]*x1 + v[6]*x2 + v[11]*x3 + v[16]*x4 + v[21]*x5;
594 	  s3  -= v[2]*x1 + v[7]*x2 + v[12]*x3 + v[17]*x4 + v[22]*x5;
595 	  s4  -= v[3]*x1 + v[8]*x2 + v[13]*x3 + v[18]*x4 + v[23]*x5;
596 	  s5  -= v[4]*x1 + v[9]*x2 + v[14]*x3 + v[19]*x4 + v[24]*x5;
597 	  v   += 25;
598 	}
599 	x[i2]   = idiag[0]*s1 + idiag[5]*s2 + idiag[10]*s3 + idiag[15]*s4 + idiag[20]*s5;
600 	x[i2+1] = idiag[1]*s1 + idiag[6]*s2 + idiag[11]*s3 + idiag[16]*s4 + idiag[21]*s5;
601 	x[i2+2] = idiag[2]*s1 + idiag[7]*s2 + idiag[12]*s3 + idiag[17]*s4 + idiag[22]*s5;
602 	x[i2+3] = idiag[3]*s1 + idiag[8]*s2 + idiag[13]*s3 + idiag[18]*s4 + idiag[23]*s5;
603 	x[i2+4] = idiag[4]*s1 + idiag[9]*s2 + idiag[14]*s3 + idiag[19]*s4 + idiag[24]*s5;
604         idiag   += 25;
605         i2      += 5;
606       }
607       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
608       ierr = PetscLogFlops(25*(a->nz));CHKERRQ(ierr);
609     }
610     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
611         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
612       i2    = 0;
613       mdiag = a->idiag+25*a->mbs;
614       for (i=0; i<m; i++) {
615         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4];
616         x[i2]   = mdiag[0]*x1 + mdiag[5]*x2 + mdiag[10]*x3 + mdiag[15]*x4 + mdiag[20]*x5;
617         x[i2+1] = mdiag[1]*x1 + mdiag[6]*x2 + mdiag[11]*x3 + mdiag[16]*x4 + mdiag[21]*x5;
618         x[i2+2] = mdiag[2]*x1 + mdiag[7]*x2 + mdiag[12]*x3 + mdiag[17]*x4 + mdiag[22]*x5;
619         x[i2+3] = mdiag[3]*x1 + mdiag[8]*x2 + mdiag[13]*x3 + mdiag[18]*x4 + mdiag[23]*x5;
620         x[i2+4] = mdiag[4]*x1 + mdiag[9]*x2 + mdiag[14]*x3 + mdiag[19]*x4 + mdiag[24]*x5;
621         mdiag  += 25;
622         i2     += 5;
623       }
624       ierr = PetscLogFlops(45*m);CHKERRQ(ierr);
625     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
626       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
627     }
628     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
629       idiag   = a->idiag+25*a->mbs - 25;
630       i2      = 5*m - 5;
631       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4];
632       x[i2]   = idiag[0]*x1 + idiag[5]*x2 + idiag[10]*x3 + idiag[15]*x4 + idiag[20]*x5;
633       x[i2+1] = idiag[1]*x1 + idiag[6]*x2 + idiag[11]*x3 + idiag[16]*x4 + idiag[21]*x5;
634       x[i2+2] = idiag[2]*x1 + idiag[7]*x2 + idiag[12]*x3 + idiag[17]*x4 + idiag[22]*x5;
635       x[i2+3] = idiag[3]*x1 + idiag[8]*x2 + idiag[13]*x3 + idiag[18]*x4 + idiag[23]*x5;
636       x[i2+4] = idiag[4]*x1 + idiag[9]*x2 + idiag[14]*x3 + idiag[19]*x4 + idiag[24]*x5;
637       idiag -= 25;
638       i2    -= 5;
639       for (i=m-2; i>=0; i--) {
640 	v     = aa + 25*(diag[i]+1);
641 	vi    = aj + diag[i] + 1;
642 	nz    = ai[i+1] - diag[i] - 1;
643 	s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3]; s5 = x[i2+4];
644 	while (nz--) {
645 	  idx  = 5*(*vi++);
646 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx];
647 	  s1  -= v[0]*x1 + v[5]*x2 + v[10]*x3 + v[15]*x4 + v[20]*x5;
648 	  s2  -= v[1]*x1 + v[6]*x2 + v[11]*x3 + v[16]*x4 + v[21]*x5;
649 	  s3  -= v[2]*x1 + v[7]*x2 + v[12]*x3 + v[17]*x4 + v[22]*x5;
650 	  s4  -= v[3]*x1 + v[8]*x2 + v[13]*x3 + v[18]*x4 + v[23]*x5;
651 	  s5  -= v[4]*x1 + v[9]*x2 + v[14]*x3 + v[19]*x4 + v[24]*x5;
652 	  v   += 25;
653 	}
654 	x[i2]   = idiag[0]*s1 + idiag[5]*s2 + idiag[10]*s3 + idiag[15]*s4 + idiag[20]*s5;
655 	x[i2+1] = idiag[1]*s1 + idiag[6]*s2 + idiag[11]*s3 + idiag[16]*s4 + idiag[21]*s5;
656 	x[i2+2] = idiag[2]*s1 + idiag[7]*s2 + idiag[12]*s3 + idiag[17]*s4 + idiag[22]*s5;
657 	x[i2+3] = idiag[3]*s1 + idiag[8]*s2 + idiag[13]*s3 + idiag[18]*s4 + idiag[23]*s5;
658 	x[i2+4] = idiag[4]*s1 + idiag[9]*s2 + idiag[14]*s3 + idiag[19]*s4 + idiag[24]*s5;
659         idiag   -= 25;
660         i2      -= 5;
661       }
662       ierr = PetscLogFlops(25*(a->nz));CHKERRQ(ierr);
663     }
664   } else {
665     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
666   }
667   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
668   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
669   PetscFunctionReturn(0);
670 }
671 
672 #undef __FUNCT__
673 #define __FUNCT__ "MatPBRelax_SeqBAIJ_6"
674 PetscErrorCode MatPBRelax_SeqBAIJ_6(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
675 {
676   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
677   PetscScalar        *x,x1,x2,x3,x4,x5,x6,s1,s2,s3,s4,s5,s6;
678   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
679   const PetscScalar  *b;
680   PetscErrorCode     ierr;
681   PetscInt           m = a->mbs,i,i2,nz,idx;
682   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
683 
684   PetscFunctionBegin;
685   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
686   its = its*lits;
687   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
688   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
689   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
690   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
691   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
692 
693   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
694 
695   diag  = a->diag;
696   idiag = a->idiag;
697   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
698   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
699 
700   if (flag & SOR_ZERO_INITIAL_GUESS) {
701     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
702       x[0] = b[0]*idiag[0] + b[1]*idiag[6]  + b[2]*idiag[12] + b[3]*idiag[18] + b[4]*idiag[24] + b[5]*idiag[30];
703       x[1] = b[0]*idiag[1] + b[1]*idiag[7]  + b[2]*idiag[13] + b[3]*idiag[19] + b[4]*idiag[25] + b[5]*idiag[31];
704       x[2] = b[0]*idiag[2] + b[1]*idiag[8]  + b[2]*idiag[14] + b[3]*idiag[20] + b[4]*idiag[26] + b[5]*idiag[32];
705       x[3] = b[0]*idiag[3] + b[1]*idiag[9]  + b[2]*idiag[15] + b[3]*idiag[21] + b[4]*idiag[27] + b[5]*idiag[33];
706       x[4] = b[0]*idiag[4] + b[1]*idiag[10] + b[2]*idiag[16] + b[3]*idiag[22] + b[4]*idiag[28] + b[5]*idiag[34];
707       x[5] = b[0]*idiag[5] + b[1]*idiag[11] + b[2]*idiag[17] + b[3]*idiag[23] + b[4]*idiag[29] + b[5]*idiag[35];
708       i2     = 6;
709       idiag += 36;
710       for (i=1; i<m; i++) {
711         v     = aa + 36*ai[i];
712         vi    = aj + ai[i];
713         nz    = diag[i] - ai[i];
714         s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3]; s5 = b[i2+4]; s6 = b[i2+5];
715         while (nz--) {
716           idx  = 6*(*vi++);
717           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx];
718           s1  -= v[0]*x1 + v[6]*x2  + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
719           s2  -= v[1]*x1 + v[7]*x2  + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
720           s3  -= v[2]*x1 + v[8]*x2  + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
721           s4  -= v[3]*x1 + v[9]*x2  + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
722           s5  -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
723           s6  -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
724           v   += 36;
725         }
726         x[i2]   = idiag[0]*s1 + idiag[6]*s2  + idiag[12]*s3 + idiag[18]*s4 + idiag[24]*s5 + idiag[30]*s6;
727         x[i2+1] = idiag[1]*s1 + idiag[7]*s2  + idiag[13]*s3 + idiag[19]*s4 + idiag[25]*s5 + idiag[31]*s6;
728         x[i2+2] = idiag[2]*s1 + idiag[8]*s2  + idiag[14]*s3 + idiag[20]*s4 + idiag[26]*s5 + idiag[32]*s6;
729         x[i2+3] = idiag[3]*s1 + idiag[9]*s2  + idiag[15]*s3 + idiag[21]*s4 + idiag[27]*s5 + idiag[33]*s6;
730         x[i2+4] = idiag[4]*s1 + idiag[10]*s2 + idiag[16]*s3 + idiag[22]*s4 + idiag[28]*s5 + idiag[34]*s6;
731         x[i2+5] = idiag[5]*s1 + idiag[11]*s2 + idiag[17]*s3 + idiag[23]*s4 + idiag[29]*s5 + idiag[35]*s6;
732         idiag   += 36;
733         i2      += 6;
734       }
735       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
736       ierr = PetscLogFlops(36*(a->nz));CHKERRQ(ierr);
737     }
738     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
739         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
740       i2    = 0;
741       mdiag = a->idiag+36*a->mbs;
742       for (i=0; i<m; i++) {
743         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5];
744         x[i2]   = mdiag[0]*x1 + mdiag[6]*x2  + mdiag[12]*x3 + mdiag[18]*x4 + mdiag[24]*x5 + mdiag[30]*x6;
745         x[i2+1] = mdiag[1]*x1 + mdiag[7]*x2  + mdiag[13]*x3 + mdiag[19]*x4 + mdiag[25]*x5 + mdiag[31]*x6;
746         x[i2+2] = mdiag[2]*x1 + mdiag[8]*x2  + mdiag[14]*x3 + mdiag[20]*x4 + mdiag[26]*x5 + mdiag[32]*x6;
747         x[i2+3] = mdiag[3]*x1 + mdiag[9]*x2  + mdiag[15]*x3 + mdiag[21]*x4 + mdiag[27]*x5 + mdiag[33]*x6;
748         x[i2+4] = mdiag[4]*x1 + mdiag[10]*x2 + mdiag[16]*x3 + mdiag[22]*x4 + mdiag[28]*x5 + mdiag[34]*x6;
749         x[i2+5] = mdiag[5]*x1 + mdiag[11]*x2 + mdiag[17]*x3 + mdiag[23]*x4 + mdiag[29]*x5 + mdiag[35]*x6;
750         mdiag  += 36;
751         i2     += 6;
752       }
753       ierr = PetscLogFlops(60*m);CHKERRQ(ierr);
754     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
755       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
756     }
757     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
758       idiag   = a->idiag+36*a->mbs - 36;
759       i2      = 6*m - 6;
760       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5];
761       x[i2]   = idiag[0]*x1 + idiag[6]*x2  + idiag[12]*x3 + idiag[18]*x4 + idiag[24]*x5 + idiag[30]*x6;
762       x[i2+1] = idiag[1]*x1 + idiag[7]*x2  + idiag[13]*x3 + idiag[19]*x4 + idiag[25]*x5 + idiag[31]*x6;
763       x[i2+2] = idiag[2]*x1 + idiag[8]*x2  + idiag[14]*x3 + idiag[20]*x4 + idiag[26]*x5 + idiag[32]*x6;
764       x[i2+3] = idiag[3]*x1 + idiag[9]*x2  + idiag[15]*x3 + idiag[21]*x4 + idiag[27]*x5 + idiag[33]*x6;
765       x[i2+4] = idiag[4]*x1 + idiag[10]*x2 + idiag[16]*x3 + idiag[22]*x4 + idiag[28]*x5 + idiag[34]*x6;
766       x[i2+5] = idiag[5]*x1 + idiag[11]*x2 + idiag[17]*x3 + idiag[23]*x4 + idiag[29]*x5 + idiag[35]*x6;
767       idiag -= 36;
768       i2    -= 6;
769       for (i=m-2; i>=0; i--) {
770         v     = aa + 36*(diag[i]+1);
771         vi    = aj + diag[i] + 1;
772         nz    = ai[i+1] - diag[i] - 1;
773         s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3]; s5 = x[i2+4]; s6 = x[i2+5];
774         while (nz--) {
775           idx  = 6*(*vi++);
776           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx];
777           s1  -= v[0]*x1 + v[6]*x2  + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
778           s2  -= v[1]*x1 + v[7]*x2  + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
779           s3  -= v[2]*x1 + v[8]*x2  + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
780           s4  -= v[3]*x1 + v[9]*x2  + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
781           s5  -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
782           s6  -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
783           v   += 36;
784         }
785         x[i2]   = idiag[0]*s1 + idiag[6]*s2  + idiag[12]*s3 + idiag[18]*s4 + idiag[24]*s5 + idiag[30]*s6;
786         x[i2+1] = idiag[1]*s1 + idiag[7]*s2  + idiag[13]*s3 + idiag[19]*s4 + idiag[25]*s5 + idiag[31]*s6;
787         x[i2+2] = idiag[2]*s1 + idiag[8]*s2  + idiag[14]*s3 + idiag[20]*s4 + idiag[26]*s5 + idiag[32]*s6;
788         x[i2+3] = idiag[3]*s1 + idiag[9]*s2  + idiag[15]*s3 + idiag[21]*s4 + idiag[27]*s5 + idiag[33]*s6;
789         x[i2+4] = idiag[4]*s1 + idiag[10]*s2 + idiag[16]*s3 + idiag[22]*s4 + idiag[28]*s5 + idiag[34]*s6;
790         x[i2+5] = idiag[5]*s1 + idiag[11]*s2 + idiag[17]*s3 + idiag[23]*s4 + idiag[29]*s5 + idiag[35]*s6;
791         idiag   -= 36;
792         i2      -= 6;
793       }
794       ierr = PetscLogFlops(36*(a->nz));CHKERRQ(ierr);
795     }
796   } else {
797     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
798   }
799   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
800   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
801   PetscFunctionReturn(0);
802 }
803 
804 #undef __FUNCT__
805 #define __FUNCT__ "MatPBRelax_SeqBAIJ_7"
806 PetscErrorCode MatPBRelax_SeqBAIJ_7(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
807 {
808   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
809   PetscScalar        *x,x1,x2,x3,x4,x5,x6,x7,s1,s2,s3,s4,s5,s6,s7;
810   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
811   const PetscScalar  *b;
812   PetscErrorCode     ierr;
813   PetscInt           m = a->mbs,i,i2,nz,idx;
814   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
815 
816   PetscFunctionBegin;
817   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
818   its = its*lits;
819   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
820   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
821   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
822   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
823   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
824 
825   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
826 
827   diag  = a->diag;
828   idiag = a->idiag;
829   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
830   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
831 
832   if (flag & SOR_ZERO_INITIAL_GUESS) {
833     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
834       x[0] = b[0]*idiag[0] + b[1]*idiag[7]  + b[2]*idiag[14] + b[3]*idiag[21] + b[4]*idiag[28] + b[5]*idiag[35] + b[6]*idiag[42];
835       x[1] = b[0]*idiag[1] + b[1]*idiag[8]  + b[2]*idiag[15] + b[3]*idiag[22] + b[4]*idiag[29] + b[5]*idiag[36] + b[6]*idiag[43];
836       x[2] = b[0]*idiag[2] + b[1]*idiag[9]  + b[2]*idiag[16] + b[3]*idiag[23] + b[4]*idiag[30] + b[5]*idiag[37] + b[6]*idiag[44];
837       x[3] = b[0]*idiag[3] + b[1]*idiag[10] + b[2]*idiag[17] + b[3]*idiag[24] + b[4]*idiag[31] + b[5]*idiag[38] + b[6]*idiag[45];
838       x[4] = b[0]*idiag[4] + b[1]*idiag[11] + b[2]*idiag[18] + b[3]*idiag[25] + b[4]*idiag[32] + b[5]*idiag[39] + b[6]*idiag[46];
839       x[5] = b[0]*idiag[5] + b[1]*idiag[12] + b[2]*idiag[19] + b[3]*idiag[26] + b[4]*idiag[33] + b[5]*idiag[40] + b[6]*idiag[47];
840       x[6] = b[0]*idiag[6] + b[1]*idiag[13] + b[2]*idiag[20] + b[3]*idiag[27] + b[4]*idiag[34] + b[5]*idiag[41] + b[6]*idiag[48];
841       i2     = 7;
842       idiag += 49;
843       for (i=1; i<m; i++) {
844         v     = aa + 49*ai[i];
845         vi    = aj + ai[i];
846         nz    = diag[i] - ai[i];
847         s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3]; s5 = b[i2+4]; s6 = b[i2+5]; s7 = b[i2+6];
848         while (nz--) {
849           idx  = 7*(*vi++);
850           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx]; x7 = x[6+idx];
851           s1  -= v[0]*x1 + v[7]*x2  + v[14]*x3 + v[21]*x4 + v[28]*x5 + v[35]*x6 + v[42]*x7;
852           s2  -= v[1]*x1 + v[8]*x2  + v[15]*x3 + v[22]*x4 + v[29]*x5 + v[36]*x6 + v[43]*x7;
853           s3  -= v[2]*x1 + v[9]*x2  + v[16]*x3 + v[23]*x4 + v[30]*x5 + v[37]*x6 + v[44]*x7;
854           s4  -= v[3]*x1 + v[10]*x2 + v[17]*x3 + v[24]*x4 + v[31]*x5 + v[38]*x6 + v[45]*x7;
855           s5  -= v[4]*x1 + v[11]*x2 + v[18]*x3 + v[25]*x4 + v[32]*x5 + v[39]*x6 + v[46]*x7;
856           s6  -= v[5]*x1 + v[12]*x2 + v[19]*x3 + v[26]*x4 + v[33]*x5 + v[40]*x6 + v[47]*x7;
857           s7  -= v[6]*x1 + v[13]*x2 + v[20]*x3 + v[27]*x4 + v[34]*x5 + v[41]*x6 + v[48]*x7;
858           v   += 49;
859         }
860         x[i2]   = idiag[0]*s1 + idiag[7]*s2  + idiag[14]*s3 + idiag[21]*s4 + idiag[28]*s5 + idiag[35]*s6 + idiag[42]*s7;
861         x[i2+1] = idiag[1]*s1 + idiag[8]*s2  + idiag[15]*s3 + idiag[22]*s4 + idiag[29]*s5 + idiag[36]*s6 + idiag[43]*s7;
862         x[i2+2] = idiag[2]*s1 + idiag[9]*s2  + idiag[16]*s3 + idiag[23]*s4 + idiag[30]*s5 + idiag[37]*s6 + idiag[44]*s7;
863         x[i2+3] = idiag[3]*s1 + idiag[10]*s2 + idiag[17]*s3 + idiag[24]*s4 + idiag[31]*s5 + idiag[38]*s6 + idiag[45]*s7;
864         x[i2+4] = idiag[4]*s1 + idiag[11]*s2 + idiag[18]*s3 + idiag[25]*s4 + idiag[32]*s5 + idiag[39]*s6 + idiag[46]*s7;
865         x[i2+5] = idiag[5]*s1 + idiag[12]*s2 + idiag[19]*s3 + idiag[26]*s4 + idiag[33]*s5 + idiag[40]*s6 + idiag[47]*s7;
866         x[i2+6] = idiag[6]*s1 + idiag[13]*s2 + idiag[20]*s3 + idiag[27]*s4 + idiag[34]*s5 + idiag[41]*s6 + idiag[48]*s7;
867         idiag   += 49;
868         i2      += 7;
869       }
870       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
871       ierr = PetscLogFlops(49*(a->nz));CHKERRQ(ierr);
872     }
873     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
874         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
875       i2    = 0;
876       mdiag = a->idiag+49*a->mbs;
877       for (i=0; i<m; i++) {
878         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5]; x7 = x[i2+6];
879         x[i2]   = mdiag[0]*x1 + mdiag[7]*x2  + mdiag[14]*x3 + mdiag[21]*x4 + mdiag[28]*x5 + mdiag[35]*x6 + mdiag[35]*x7;
880         x[i2+1] = mdiag[1]*x1 + mdiag[8]*x2  + mdiag[15]*x3 + mdiag[22]*x4 + mdiag[29]*x5 + mdiag[36]*x6 + mdiag[36]*x7;
881         x[i2+2] = mdiag[2]*x1 + mdiag[9]*x2  + mdiag[16]*x3 + mdiag[23]*x4 + mdiag[30]*x5 + mdiag[37]*x6 + mdiag[37]*x7;
882         x[i2+3] = mdiag[3]*x1 + mdiag[10]*x2 + mdiag[17]*x3 + mdiag[24]*x4 + mdiag[31]*x5 + mdiag[38]*x6 + mdiag[38]*x7;
883         x[i2+4] = mdiag[4]*x1 + mdiag[11]*x2 + mdiag[18]*x3 + mdiag[25]*x4 + mdiag[32]*x5 + mdiag[39]*x6 + mdiag[39]*x7;
884         x[i2+5] = mdiag[5]*x1 + mdiag[12]*x2 + mdiag[19]*x3 + mdiag[26]*x4 + mdiag[33]*x5 + mdiag[40]*x6 + mdiag[40]*x7;
885         x[i2+6] = mdiag[6]*x1 + mdiag[13]*x2 + mdiag[20]*x3 + mdiag[27]*x4 + mdiag[34]*x5 + mdiag[41]*x6 + mdiag[41]*x7;
886         mdiag  += 36;
887         i2     += 6;
888       }
889       ierr = PetscLogFlops(93*m);CHKERRQ(ierr);
890     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
891       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
892     }
893     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
894       idiag   = a->idiag+49*a->mbs - 49;
895       i2      = 7*m - 7;
896       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5]; x7 = x[i2+6];
897       x[i2]   = idiag[0]*x1 + idiag[7]*x2  + idiag[14]*x3 + idiag[21]*x4 + idiag[28]*x5 + idiag[35]*x6 + idiag[42]*x7;
898       x[i2+1] = idiag[1]*x1 + idiag[8]*x2  + idiag[15]*x3 + idiag[22]*x4 + idiag[29]*x5 + idiag[36]*x6 + idiag[43]*x7;
899       x[i2+2] = idiag[2]*x1 + idiag[9]*x2  + idiag[16]*x3 + idiag[23]*x4 + idiag[30]*x5 + idiag[37]*x6 + idiag[44]*x7;
900       x[i2+3] = idiag[3]*x1 + idiag[10]*x2 + idiag[17]*x3 + idiag[24]*x4 + idiag[31]*x5 + idiag[38]*x6 + idiag[45]*x7;
901       x[i2+4] = idiag[4]*x1 + idiag[11]*x2 + idiag[18]*x3 + idiag[25]*x4 + idiag[32]*x5 + idiag[39]*x6 + idiag[46]*x7;
902       x[i2+5] = idiag[5]*x1 + idiag[12]*x2 + idiag[19]*x3 + idiag[26]*x4 + idiag[33]*x5 + idiag[40]*x6 + idiag[47]*x7;
903       x[i2+6] = idiag[6]*x1 + idiag[13]*x2 + idiag[20]*x3 + idiag[27]*x4 + idiag[34]*x5 + idiag[41]*x6 + idiag[48]*x7;
904       idiag -= 49;
905       i2    -= 7;
906       for (i=m-2; i>=0; i--) {
907         v     = aa + 49*(diag[i]+1);
908         vi    = aj + diag[i] + 1;
909         nz    = ai[i+1] - diag[i] - 1;
910         s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3]; s5 = x[i2+4]; s6 = x[i2+5]; s7 = x[i2+6];
911         while (nz--) {
912           idx  = 7*(*vi++);
913           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx]; x7 = x[6+idx];
914           s1  -= v[0]*x1 + v[7]*x2  + v[14]*x3 + v[21]*x4 + v[28]*x5 + v[35]*x6 + v[42]*x7;
915           s2  -= v[1]*x1 + v[8]*x2  + v[15]*x3 + v[22]*x4 + v[29]*x5 + v[36]*x6 + v[43]*x7;
916           s3  -= v[2]*x1 + v[9]*x2  + v[16]*x3 + v[23]*x4 + v[30]*x5 + v[37]*x6 + v[44]*x7;
917           s4  -= v[3]*x1 + v[10]*x2 + v[17]*x3 + v[24]*x4 + v[31]*x5 + v[38]*x6 + v[45]*x7;
918           s5  -= v[4]*x1 + v[11]*x2 + v[18]*x3 + v[25]*x4 + v[32]*x5 + v[39]*x6 + v[46]*x7;
919           s6  -= v[5]*x1 + v[12]*x2 + v[19]*x3 + v[26]*x4 + v[33]*x5 + v[40]*x6 + v[47]*x7;
920           s7  -= v[6]*x1 + v[13]*x2 + v[20]*x3 + v[27]*x4 + v[34]*x5 + v[41]*x6 + v[48]*x7;
921           v   += 49;
922         }
923         x[i2]   = idiag[0]*s1 + idiag[7]*s2  + idiag[14]*s3 + idiag[21]*s4 + idiag[28]*s5 + idiag[35]*s6 + idiag[42]*s7;
924         x[i2+1] = idiag[1]*s1 + idiag[8]*s2  + idiag[15]*s3 + idiag[22]*s4 + idiag[29]*s5 + idiag[36]*s6 + idiag[43]*s7;
925         x[i2+2] = idiag[2]*s1 + idiag[9]*s2  + idiag[16]*s3 + idiag[23]*s4 + idiag[30]*s5 + idiag[37]*s6 + idiag[44]*s7;
926         x[i2+3] = idiag[3]*s1 + idiag[10]*s2 + idiag[17]*s3 + idiag[24]*s4 + idiag[31]*s5 + idiag[38]*s6 + idiag[45]*s7;
927         x[i2+4] = idiag[4]*s1 + idiag[11]*s2 + idiag[18]*s3 + idiag[25]*s4 + idiag[32]*s5 + idiag[39]*s6 + idiag[46]*s7;
928         x[i2+5] = idiag[5]*s1 + idiag[12]*s2 + idiag[19]*s3 + idiag[26]*s4 + idiag[33]*s5 + idiag[40]*s6 + idiag[47]*s7;
929         x[i2+6] = idiag[6]*s1 + idiag[13]*s2 + idiag[20]*s3 + idiag[27]*s4 + idiag[34]*s5 + idiag[41]*s6 + idiag[48]*s7;
930         idiag   -= 49;
931         i2      -= 7;
932       }
933       ierr = PetscLogFlops(49*(a->nz));CHKERRQ(ierr);
934     }
935   } else {
936     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
937   }
938   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
939   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
940   PetscFunctionReturn(0);
941 }
942 
943 /*
944     Special version for direct calls from Fortran (Used in PETSc-fun3d)
945 */
946 #if defined(PETSC_HAVE_FORTRAN_CAPS)
947 #define matsetvaluesblocked4_ MATSETVALUESBLOCKED4
948 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
949 #define matsetvaluesblocked4_ matsetvaluesblocked4
950 #endif
951 
952 EXTERN_C_BEGIN
953 #undef __FUNCT__
954 #define __FUNCT__ "matsetvaluesblocked4_"
955 void PETSCMAT_DLLEXPORT matsetvaluesblocked4_(Mat *AA,PetscInt *mm,const PetscInt im[],PetscInt *nn,const PetscInt in[],const PetscScalar v[])
956 {
957   Mat               A = *AA;
958   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
959   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,N,m = *mm,n = *nn;
960   PetscInt          *ai=a->i,*ailen=a->ilen;
961   PetscInt          *aj=a->j,stepval,lastcol = -1;
962   const PetscScalar *value = v;
963   MatScalar         *ap,*aa = a->a,*bap;
964 
965   PetscFunctionBegin;
966   if (A->rmap->bs != 4) SETERRABORT(((PetscObject)A)->comm,PETSC_ERR_ARG_WRONG,"Can only be called with a block size of 4");
967   stepval = (n-1)*4;
968   for (k=0; k<m; k++) { /* loop over added rows */
969     row  = im[k];
970     rp   = aj + ai[row];
971     ap   = aa + 16*ai[row];
972     nrow = ailen[row];
973     low  = 0;
974     high = nrow;
975     for (l=0; l<n; l++) { /* loop over added columns */
976       col = in[l];
977       if (col <= lastcol) low = 0; else high = nrow;
978       lastcol = col;
979       value = v + k*(stepval+4 + l)*4;
980       while (high-low > 7) {
981         t = (low+high)/2;
982         if (rp[t] > col) high = t;
983         else             low  = t;
984       }
985       for (i=low; i<high; i++) {
986         if (rp[i] > col) break;
987         if (rp[i] == col) {
988           bap  = ap +  16*i;
989           for (ii=0; ii<4; ii++,value+=stepval) {
990             for (jj=ii; jj<16; jj+=4) {
991               bap[jj] += *value++;
992             }
993           }
994           goto noinsert2;
995         }
996       }
997       N = nrow++ - 1;
998       high++; /* added new column index thus must search to one higher than before */
999       /* shift up all the later entries in this row */
1000       for (ii=N; ii>=i; ii--) {
1001         rp[ii+1] = rp[ii];
1002         PetscMemcpy(ap+16*(ii+1),ap+16*(ii),16*sizeof(MatScalar));
1003       }
1004       if (N >= i) {
1005         PetscMemzero(ap+16*i,16*sizeof(MatScalar));
1006       }
1007       rp[i] = col;
1008       bap   = ap +  16*i;
1009       for (ii=0; ii<4; ii++,value+=stepval) {
1010         for (jj=ii; jj<16; jj+=4) {
1011           bap[jj] = *value++;
1012         }
1013       }
1014       noinsert2:;
1015       low = i;
1016     }
1017     ailen[row] = nrow;
1018   }
1019   PetscFunctionReturnVoid();
1020 }
1021 EXTERN_C_END
1022 
1023 #if defined(PETSC_HAVE_FORTRAN_CAPS)
1024 #define matsetvalues4_ MATSETVALUES4
1025 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
1026 #define matsetvalues4_ matsetvalues4
1027 #endif
1028 
1029 EXTERN_C_BEGIN
1030 #undef __FUNCT__
1031 #define __FUNCT__ "MatSetValues4_"
1032 void PETSCMAT_DLLEXPORT matsetvalues4_(Mat *AA,PetscInt *mm,PetscInt *im,PetscInt *nn,PetscInt *in,PetscScalar *v)
1033 {
1034   Mat         A = *AA;
1035   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1036   PetscInt    *rp,k,low,high,t,ii,row,nrow,i,col,l,N,n = *nn,m = *mm;
1037   PetscInt    *ai=a->i,*ailen=a->ilen;
1038   PetscInt    *aj=a->j,brow,bcol;
1039   PetscInt    ridx,cidx,lastcol = -1;
1040   MatScalar   *ap,value,*aa=a->a,*bap;
1041 
1042   PetscFunctionBegin;
1043   for (k=0; k<m; k++) { /* loop over added rows */
1044     row  = im[k]; brow = row/4;
1045     rp   = aj + ai[brow];
1046     ap   = aa + 16*ai[brow];
1047     nrow = ailen[brow];
1048     low  = 0;
1049     high = nrow;
1050     for (l=0; l<n; l++) { /* loop over added columns */
1051       col = in[l]; bcol = col/4;
1052       ridx = row % 4; cidx = col % 4;
1053       value = v[l + k*n];
1054       if (col <= lastcol) low = 0; else high = nrow;
1055       lastcol = col;
1056       while (high-low > 7) {
1057         t = (low+high)/2;
1058         if (rp[t] > bcol) high = t;
1059         else              low  = t;
1060       }
1061       for (i=low; i<high; i++) {
1062         if (rp[i] > bcol) break;
1063         if (rp[i] == bcol) {
1064           bap  = ap +  16*i + 4*cidx + ridx;
1065           *bap += value;
1066           goto noinsert1;
1067         }
1068       }
1069       N = nrow++ - 1;
1070       high++; /* added new column thus must search to one higher than before */
1071       /* shift up all the later entries in this row */
1072       for (ii=N; ii>=i; ii--) {
1073         rp[ii+1] = rp[ii];
1074         PetscMemcpy(ap+16*(ii+1),ap+16*(ii),16*sizeof(MatScalar));
1075       }
1076       if (N>=i) {
1077         PetscMemzero(ap+16*i,16*sizeof(MatScalar));
1078       }
1079       rp[i]                    = bcol;
1080       ap[16*i + 4*cidx + ridx] = value;
1081       noinsert1:;
1082       low = i;
1083     }
1084     ailen[brow] = nrow;
1085   }
1086   PetscFunctionReturnVoid();
1087 }
1088 EXTERN_C_END
1089 
1090 /*
1091      Checks for missing diagonals
1092 */
1093 #undef __FUNCT__
1094 #define __FUNCT__ "MatMissingDiagonal_SeqBAIJ"
1095 PetscErrorCode MatMissingDiagonal_SeqBAIJ(Mat A,PetscTruth *missing,PetscInt *d)
1096 {
1097   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1098   PetscErrorCode ierr;
1099   PetscInt       *diag,*jj = a->j,i;
1100 
1101   PetscFunctionBegin;
1102   ierr = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
1103   *missing = PETSC_FALSE;
1104   diag     = a->diag;
1105   for (i=0; i<a->mbs; i++) {
1106     if (jj[diag[i]] != i) {
1107       *missing  = PETSC_TRUE;
1108       if (d) *d = i;
1109     }
1110   }
1111   PetscFunctionReturn(0);
1112 }
1113 
1114 #undef __FUNCT__
1115 #define __FUNCT__ "MatMarkDiagonal_SeqBAIJ"
1116 PetscErrorCode MatMarkDiagonal_SeqBAIJ(Mat A)
1117 {
1118   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1119   PetscErrorCode ierr;
1120   PetscInt       i,j,m = a->mbs;
1121 
1122   PetscFunctionBegin;
1123   if (!a->diag) {
1124     ierr = PetscMalloc(m*sizeof(PetscInt),&a->diag);CHKERRQ(ierr);
1125   }
1126   for (i=0; i<m; i++) {
1127     a->diag[i] = a->i[i+1];
1128     for (j=a->i[i]; j<a->i[i+1]; j++) {
1129       if (a->j[j] == i) {
1130         a->diag[i] = j;
1131         break;
1132       }
1133     }
1134   }
1135   PetscFunctionReturn(0);
1136 }
1137 
1138 
1139 EXTERN PetscErrorCode MatToSymmetricIJ_SeqAIJ(PetscInt,PetscInt*,PetscInt*,PetscInt,PetscInt,PetscInt**,PetscInt**);
1140 
1141 #undef __FUNCT__
1142 #define __FUNCT__ "MatGetRowIJ_SeqBAIJ"
1143 static PetscErrorCode MatGetRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
1144 {
1145   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1146   PetscErrorCode ierr;
1147   PetscInt       i,j,n = a->mbs,nz = a->i[n],bs = A->rmap->bs,nbs = 1,k,l,cnt;
1148   PetscInt       *tia, *tja;
1149 
1150   PetscFunctionBegin;
1151   *nn = n;
1152   if (!ia) PetscFunctionReturn(0);
1153   if (symmetric) {
1154     ierr = MatToSymmetricIJ_SeqAIJ(n,a->i,a->j,0,0,&tia,&tja);CHKERRQ(ierr);
1155   } else {
1156     tia = a->i; tja = a->j;
1157   }
1158 
1159   if (!blockcompressed && bs > 1) {
1160     (*nn) *= bs;
1161     nbs    = bs;
1162     /* malloc & create the natural set of indices */
1163     ierr = PetscMalloc((n+1)*bs*sizeof(PetscInt),ia);CHKERRQ(ierr);
1164     if (n) {
1165       (*ia)[0] = 0;
1166       for (j=1; j<bs; j++) {
1167         (*ia)[j] = (tia[1]-tia[0])*bs+(*ia)[j-1];
1168       }
1169     }
1170 
1171     for (i=1; i<n; i++) {
1172       (*ia)[i*bs] = (tia[i]-tia[i-1])*bs + (*ia)[i*bs-1];
1173       for (j=1; j<bs; j++) {
1174         (*ia)[i*bs+j] = (tia[i+1]-tia[i])*bs + (*ia)[i*bs+j-1];
1175       }
1176     }
1177     if (n) {
1178       (*ia)[n*bs] = (tia[n]-tia[n-1])*bs + (*ia)[n*bs-1];
1179     }
1180 
1181     if (ja) {
1182       ierr = PetscMalloc(nz*bs*bs*sizeof(PetscInt),ja);CHKERRQ(ierr);
1183       cnt = 0;
1184       for (i=0; i<n; i++) {
1185         for (j=0; j<bs; j++) {
1186           for (k=tia[i]; k<tia[i+1]; k++) {
1187             for (l=0; l<bs; l++) {
1188               (*ja)[cnt++] = bs*tja[k] + l;
1189 	    }
1190           }
1191         }
1192       }
1193     }
1194 
1195     n     *= bs;
1196     nz *= bs*bs;
1197     if (symmetric) { /* deallocate memory allocated in MatToSymmetricIJ_SeqAIJ() */
1198       ierr = PetscFree(tia);CHKERRQ(ierr);
1199       ierr = PetscFree(tja);CHKERRQ(ierr);
1200     }
1201   } else {
1202     *ia = tia;
1203     if (ja) *ja = tja;
1204   }
1205   if (oshift == 1) {
1206     for (i=0; i<n+nbs; i++) (*ia)[i]++;
1207     if (ja) for (i=0; i<nz; i++) (*ja)[i]++;
1208   }
1209   PetscFunctionReturn(0);
1210 }
1211 
1212 #undef __FUNCT__
1213 #define __FUNCT__ "MatRestoreRowIJ_SeqBAIJ"
1214 static PetscErrorCode MatRestoreRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
1215 {
1216   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1217   PetscErrorCode ierr;
1218   PetscInt       i,n = a->mbs,nz = a->i[n];
1219 
1220   PetscFunctionBegin;
1221   if (!ia) PetscFunctionReturn(0);
1222   if (!blockcompressed && A->rmap->bs > 1) {
1223     ierr = PetscFree(*ia);CHKERRQ(ierr);
1224     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
1225   } else if (symmetric) {
1226     ierr = PetscFree(*ia);CHKERRQ(ierr);
1227     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
1228   } else if (oshift == 1) { /* blockcompressed */
1229     for (i=0; i<n+1; i++) a->i[i]--;
1230     if (ja) {for (i=0; i<nz; i++) a->j[i]--;}
1231   }
1232   PetscFunctionReturn(0);
1233 }
1234 
1235 #undef __FUNCT__
1236 #define __FUNCT__ "MatDestroy_SeqBAIJ"
1237 PetscErrorCode MatDestroy_SeqBAIJ(Mat A)
1238 {
1239   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1240   PetscErrorCode ierr;
1241 
1242   PetscFunctionBegin;
1243 #if defined(PETSC_USE_LOG)
1244   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->N,A->cmap->n,a->nz);
1245 #endif
1246   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1247   if (a->row) {
1248     ierr = ISDestroy(a->row);CHKERRQ(ierr);
1249   }
1250   if (a->col) {
1251     ierr = ISDestroy(a->col);CHKERRQ(ierr);
1252   }
1253   ierr = PetscFree(a->diag);CHKERRQ(ierr);
1254   ierr = PetscFree(a->idiag);CHKERRQ(ierr);
1255   ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);
1256   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1257   ierr = PetscFree(a->mult_work);CHKERRQ(ierr);
1258   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);}
1259   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1260   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
1261   if (a->compressedrow.use){ierr = PetscFree(a->compressedrow.i);}
1262 
1263   if (a->sbaijMat) {ierr = MatDestroy(a->sbaijMat);CHKERRQ(ierr);}
1264   ierr = PetscFree(a);CHKERRQ(ierr);
1265 
1266   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1267   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJInvertBlockDiagonal_C","",PETSC_NULL);CHKERRQ(ierr);
1268   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
1269   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
1270   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetColumnIndices_C","",PETSC_NULL);CHKERRQ(ierr);
1271   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqaij_C","",PETSC_NULL);CHKERRQ(ierr);
1272   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqsbaij_C","",PETSC_NULL);CHKERRQ(ierr);
1273   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
1274   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocationCSR_C","",PETSC_NULL);CHKERRQ(ierr);
1275   PetscFunctionReturn(0);
1276 }
1277 
1278 #undef __FUNCT__
1279 #define __FUNCT__ "MatSetOption_SeqBAIJ"
1280 PetscErrorCode MatSetOption_SeqBAIJ(Mat A,MatOption op,PetscTruth flg)
1281 {
1282   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1283   PetscErrorCode ierr;
1284 
1285   PetscFunctionBegin;
1286   switch (op) {
1287   case MAT_ROW_ORIENTED:
1288     a->roworiented    = flg;
1289     break;
1290   case MAT_KEEP_ZEROED_ROWS:
1291     a->keepzeroedrows = flg;
1292     break;
1293   case MAT_NEW_NONZERO_LOCATIONS:
1294     a->nonew          = (flg ? 0 : 1);
1295     break;
1296   case MAT_NEW_NONZERO_LOCATION_ERR:
1297     a->nonew          = (flg ? -1 : 0);
1298     break;
1299   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1300     a->nonew          = (flg ? -2 : 0);
1301     break;
1302   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1303     a->nounused       = (flg ? -1 : 0);
1304     break;
1305   case MAT_NEW_DIAGONALS:
1306   case MAT_IGNORE_OFF_PROC_ENTRIES:
1307   case MAT_USE_HASH_TABLE:
1308     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1309     break;
1310   case MAT_SYMMETRIC:
1311   case MAT_STRUCTURALLY_SYMMETRIC:
1312   case MAT_HERMITIAN:
1313   case MAT_SYMMETRY_ETERNAL:
1314     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1315     break;
1316   default:
1317     SETERRQ1(PETSC_ERR_SUP,"unknown option %d",op);
1318   }
1319   PetscFunctionReturn(0);
1320 }
1321 
1322 #undef __FUNCT__
1323 #define __FUNCT__ "MatGetRow_SeqBAIJ"
1324 PetscErrorCode MatGetRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1325 {
1326   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1327   PetscErrorCode ierr;
1328   PetscInt       itmp,i,j,k,M,*ai,*aj,bs,bn,bp,*idx_i,bs2;
1329   MatScalar      *aa,*aa_i;
1330   PetscScalar    *v_i;
1331 
1332   PetscFunctionBegin;
1333   bs  = A->rmap->bs;
1334   ai  = a->i;
1335   aj  = a->j;
1336   aa  = a->a;
1337   bs2 = a->bs2;
1338 
1339   if (row < 0 || row >= A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range", row);
1340 
1341   bn  = row/bs;   /* Block number */
1342   bp  = row % bs; /* Block Position */
1343   M   = ai[bn+1] - ai[bn];
1344   *nz = bs*M;
1345 
1346   if (v) {
1347     *v = 0;
1348     if (*nz) {
1349       ierr = PetscMalloc((*nz)*sizeof(PetscScalar),v);CHKERRQ(ierr);
1350       for (i=0; i<M; i++) { /* for each block in the block row */
1351         v_i  = *v + i*bs;
1352         aa_i = aa + bs2*(ai[bn] + i);
1353         for (j=bp,k=0; j<bs2; j+=bs,k++) {v_i[k] = aa_i[j];}
1354       }
1355     }
1356   }
1357 
1358   if (idx) {
1359     *idx = 0;
1360     if (*nz) {
1361       ierr = PetscMalloc((*nz)*sizeof(PetscInt),idx);CHKERRQ(ierr);
1362       for (i=0; i<M; i++) { /* for each block in the block row */
1363         idx_i = *idx + i*bs;
1364         itmp  = bs*aj[ai[bn] + i];
1365         for (j=0; j<bs; j++) {idx_i[j] = itmp++;}
1366       }
1367     }
1368   }
1369   PetscFunctionReturn(0);
1370 }
1371 
1372 #undef __FUNCT__
1373 #define __FUNCT__ "MatRestoreRow_SeqBAIJ"
1374 PetscErrorCode MatRestoreRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1375 {
1376   PetscErrorCode ierr;
1377 
1378   PetscFunctionBegin;
1379   if (idx) {ierr = PetscFree(*idx);CHKERRQ(ierr);}
1380   if (v)   {ierr = PetscFree(*v);CHKERRQ(ierr);}
1381   PetscFunctionReturn(0);
1382 }
1383 
1384 #undef __FUNCT__
1385 #define __FUNCT__ "MatTranspose_SeqBAIJ"
1386 PetscErrorCode MatTranspose_SeqBAIJ(Mat A,MatReuse reuse,Mat *B)
1387 {
1388   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ *)A->data;
1389   Mat            C;
1390   PetscErrorCode ierr;
1391   PetscInt       i,j,k,*aj=a->j,*ai=a->i,bs=A->rmap->bs,mbs=a->mbs,nbs=a->nbs,len,*col;
1392   PetscInt       *rows,*cols,bs2=a->bs2;
1393   MatScalar      *array;
1394 
1395   PetscFunctionBegin;
1396   if (reuse == MAT_REUSE_MATRIX && A == *B && mbs != nbs) SETERRQ(PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1397   if (reuse == MAT_INITIAL_MATRIX || A == *B) {
1398     ierr = PetscMalloc((1+nbs)*sizeof(PetscInt),&col);CHKERRQ(ierr);
1399     ierr = PetscMemzero(col,(1+nbs)*sizeof(PetscInt));CHKERRQ(ierr);
1400 
1401     for (i=0; i<ai[mbs]; i++) col[aj[i]] += 1;
1402     ierr = MatCreate(((PetscObject)A)->comm,&C);CHKERRQ(ierr);
1403     ierr = MatSetSizes(C,A->cmap->n,A->rmap->N,A->cmap->n,A->rmap->N);CHKERRQ(ierr);
1404     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
1405     ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(C,bs,PETSC_NULL,col);CHKERRQ(ierr);
1406     ierr = PetscFree(col);CHKERRQ(ierr);
1407   } else {
1408     C = *B;
1409   }
1410 
1411   array = a->a;
1412   ierr = PetscMalloc(2*bs*sizeof(PetscInt),&rows);CHKERRQ(ierr);
1413   cols = rows + bs;
1414   for (i=0; i<mbs; i++) {
1415     cols[0] = i*bs;
1416     for (k=1; k<bs; k++) cols[k] = cols[k-1] + 1;
1417     len = ai[i+1] - ai[i];
1418     for (j=0; j<len; j++) {
1419       rows[0] = (*aj++)*bs;
1420       for (k=1; k<bs; k++) rows[k] = rows[k-1] + 1;
1421       ierr = MatSetValues(C,bs,rows,bs,cols,array,INSERT_VALUES);CHKERRQ(ierr);
1422       array += bs2;
1423     }
1424   }
1425   ierr = PetscFree(rows);CHKERRQ(ierr);
1426 
1427   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1428   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1429 
1430   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
1431     *B = C;
1432   } else {
1433     ierr = MatHeaderCopy(A,C);CHKERRQ(ierr);
1434   }
1435   PetscFunctionReturn(0);
1436 }
1437 
1438 #undef __FUNCT__
1439 #define __FUNCT__ "MatView_SeqBAIJ_Binary"
1440 static PetscErrorCode MatView_SeqBAIJ_Binary(Mat A,PetscViewer viewer)
1441 {
1442   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1443   PetscErrorCode ierr;
1444   PetscInt       i,*col_lens,bs = A->rmap->bs,count,*jj,j,k,l,bs2=a->bs2;
1445   int            fd;
1446   PetscScalar    *aa;
1447   FILE           *file;
1448 
1449   PetscFunctionBegin;
1450   ierr        = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1451   ierr        = PetscMalloc((4+A->rmap->N)*sizeof(PetscInt),&col_lens);CHKERRQ(ierr);
1452   col_lens[0] = MAT_FILE_COOKIE;
1453 
1454   col_lens[1] = A->rmap->N;
1455   col_lens[2] = A->cmap->n;
1456   col_lens[3] = a->nz*bs2;
1457 
1458   /* store lengths of each row and write (including header) to file */
1459   count = 0;
1460   for (i=0; i<a->mbs; i++) {
1461     for (j=0; j<bs; j++) {
1462       col_lens[4+count++] = bs*(a->i[i+1] - a->i[i]);
1463     }
1464   }
1465   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->N,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1466   ierr = PetscFree(col_lens);CHKERRQ(ierr);
1467 
1468   /* store column indices (zero start index) */
1469   ierr  = PetscMalloc((a->nz+1)*bs2*sizeof(PetscInt),&jj);CHKERRQ(ierr);
1470   count = 0;
1471   for (i=0; i<a->mbs; i++) {
1472     for (j=0; j<bs; j++) {
1473       for (k=a->i[i]; k<a->i[i+1]; k++) {
1474         for (l=0; l<bs; l++) {
1475           jj[count++] = bs*a->j[k] + l;
1476         }
1477       }
1478     }
1479   }
1480   ierr = PetscBinaryWrite(fd,jj,bs2*a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1481   ierr = PetscFree(jj);CHKERRQ(ierr);
1482 
1483   /* store nonzero values */
1484   ierr  = PetscMalloc((a->nz+1)*bs2*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
1485   count = 0;
1486   for (i=0; i<a->mbs; i++) {
1487     for (j=0; j<bs; j++) {
1488       for (k=a->i[i]; k<a->i[i+1]; k++) {
1489         for (l=0; l<bs; l++) {
1490           aa[count++] = a->a[bs2*k + l*bs + j];
1491         }
1492       }
1493     }
1494   }
1495   ierr = PetscBinaryWrite(fd,aa,bs2*a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
1496   ierr = PetscFree(aa);CHKERRQ(ierr);
1497 
1498   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
1499   if (file) {
1500     fprintf(file,"-matload_block_size %d\n",(int)A->rmap->bs);
1501   }
1502   PetscFunctionReturn(0);
1503 }
1504 
1505 #undef __FUNCT__
1506 #define __FUNCT__ "MatView_SeqBAIJ_ASCII"
1507 static PetscErrorCode MatView_SeqBAIJ_ASCII(Mat A,PetscViewer viewer)
1508 {
1509   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1510   PetscErrorCode    ierr;
1511   PetscInt          i,j,bs = A->rmap->bs,k,l,bs2=a->bs2;
1512   PetscViewerFormat format;
1513 
1514   PetscFunctionBegin;
1515   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1516   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1517     ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
1518   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
1519     Mat aij;
1520     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&aij);CHKERRQ(ierr);
1521     ierr = MatView(aij,viewer);CHKERRQ(ierr);
1522     ierr = MatDestroy(aij);CHKERRQ(ierr);
1523   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
1524      PetscFunctionReturn(0);
1525   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
1526     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
1527     for (i=0; i<a->mbs; i++) {
1528       for (j=0; j<bs; j++) {
1529         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1530         for (k=a->i[i]; k<a->i[i+1]; k++) {
1531           for (l=0; l<bs; l++) {
1532 #if defined(PETSC_USE_COMPLEX)
1533             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1534               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %Gi) ",bs*a->j[k]+l,
1535                       PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1536             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1537               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %Gi) ",bs*a->j[k]+l,
1538                       PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1539             } else if (PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1540               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1541             }
1542 #else
1543             if (a->a[bs2*k + l*bs + j] != 0.0) {
1544               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1545             }
1546 #endif
1547           }
1548         }
1549         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1550       }
1551     }
1552     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
1553   } else {
1554     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
1555     for (i=0; i<a->mbs; i++) {
1556       for (j=0; j<bs; j++) {
1557         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1558         for (k=a->i[i]; k<a->i[i+1]; k++) {
1559           for (l=0; l<bs; l++) {
1560 #if defined(PETSC_USE_COMPLEX)
1561             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0) {
1562               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",bs*a->j[k]+l,
1563                 PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1564             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0) {
1565               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",bs*a->j[k]+l,
1566                 PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1567             } else {
1568               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1569             }
1570 #else
1571             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1572 #endif
1573           }
1574         }
1575         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1576       }
1577     }
1578     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
1579   }
1580   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1581   PetscFunctionReturn(0);
1582 }
1583 
1584 #undef __FUNCT__
1585 #define __FUNCT__ "MatView_SeqBAIJ_Draw_Zoom"
1586 static PetscErrorCode MatView_SeqBAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
1587 {
1588   Mat            A = (Mat) Aa;
1589   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ*)A->data;
1590   PetscErrorCode ierr;
1591   PetscInt       row,i,j,k,l,mbs=a->mbs,color,bs=A->rmap->bs,bs2=a->bs2;
1592   PetscReal      xl,yl,xr,yr,x_l,x_r,y_l,y_r;
1593   MatScalar      *aa;
1594   PetscViewer    viewer;
1595 
1596   PetscFunctionBegin;
1597 
1598   /* still need to add support for contour plot of nonzeros; see MatView_SeqAIJ_Draw_Zoom()*/
1599   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
1600 
1601   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
1602 
1603   /* loop over matrix elements drawing boxes */
1604   color = PETSC_DRAW_BLUE;
1605   for (i=0,row=0; i<mbs; i++,row+=bs) {
1606     for (j=a->i[i]; j<a->i[i+1]; j++) {
1607       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1608       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1609       aa = a->a + j*bs2;
1610       for (k=0; k<bs; k++) {
1611         for (l=0; l<bs; l++) {
1612           if (PetscRealPart(*aa++) >=  0.) continue;
1613           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1614         }
1615       }
1616     }
1617   }
1618   color = PETSC_DRAW_CYAN;
1619   for (i=0,row=0; i<mbs; i++,row+=bs) {
1620     for (j=a->i[i]; j<a->i[i+1]; j++) {
1621       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1622       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1623       aa = a->a + j*bs2;
1624       for (k=0; k<bs; k++) {
1625         for (l=0; l<bs; l++) {
1626           if (PetscRealPart(*aa++) != 0.) continue;
1627           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1628         }
1629       }
1630     }
1631   }
1632 
1633   color = PETSC_DRAW_RED;
1634   for (i=0,row=0; i<mbs; i++,row+=bs) {
1635     for (j=a->i[i]; j<a->i[i+1]; j++) {
1636       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1637       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1638       aa = a->a + j*bs2;
1639       for (k=0; k<bs; k++) {
1640         for (l=0; l<bs; l++) {
1641           if (PetscRealPart(*aa++) <= 0.) continue;
1642           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1643         }
1644       }
1645     }
1646   }
1647   PetscFunctionReturn(0);
1648 }
1649 
1650 #undef __FUNCT__
1651 #define __FUNCT__ "MatView_SeqBAIJ_Draw"
1652 static PetscErrorCode MatView_SeqBAIJ_Draw(Mat A,PetscViewer viewer)
1653 {
1654   PetscErrorCode ierr;
1655   PetscReal      xl,yl,xr,yr,w,h;
1656   PetscDraw      draw;
1657   PetscTruth     isnull;
1658 
1659   PetscFunctionBegin;
1660 
1661   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1662   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
1663 
1664   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
1665   xr  = A->cmap->n; yr = A->rmap->N; h = yr/10.0; w = xr/10.0;
1666   xr += w;    yr += h;  xl = -w;     yl = -h;
1667   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
1668   ierr = PetscDrawZoom(draw,MatView_SeqBAIJ_Draw_Zoom,A);CHKERRQ(ierr);
1669   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",PETSC_NULL);CHKERRQ(ierr);
1670   PetscFunctionReturn(0);
1671 }
1672 
1673 #undef __FUNCT__
1674 #define __FUNCT__ "MatView_SeqBAIJ"
1675 PetscErrorCode MatView_SeqBAIJ(Mat A,PetscViewer viewer)
1676 {
1677   PetscErrorCode ierr;
1678   PetscTruth     iascii,isbinary,isdraw;
1679 
1680   PetscFunctionBegin;
1681   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
1682   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
1683   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
1684   if (iascii){
1685     ierr = MatView_SeqBAIJ_ASCII(A,viewer);CHKERRQ(ierr);
1686   } else if (isbinary) {
1687     ierr = MatView_SeqBAIJ_Binary(A,viewer);CHKERRQ(ierr);
1688   } else if (isdraw) {
1689     ierr = MatView_SeqBAIJ_Draw(A,viewer);CHKERRQ(ierr);
1690   } else {
1691     Mat B;
1692     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&B);CHKERRQ(ierr);
1693     ierr = MatView(B,viewer);CHKERRQ(ierr);
1694     ierr = MatDestroy(B);CHKERRQ(ierr);
1695   }
1696   PetscFunctionReturn(0);
1697 }
1698 
1699 
1700 #undef __FUNCT__
1701 #define __FUNCT__ "MatGetValues_SeqBAIJ"
1702 PetscErrorCode MatGetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
1703 {
1704   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1705   PetscInt    *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
1706   PetscInt    *ai = a->i,*ailen = a->ilen;
1707   PetscInt    brow,bcol,ridx,cidx,bs=A->rmap->bs,bs2=a->bs2;
1708   MatScalar   *ap,*aa = a->a;
1709 
1710   PetscFunctionBegin;
1711   for (k=0; k<m; k++) { /* loop over rows */
1712     row  = im[k]; brow = row/bs;
1713     if (row < 0) {v += n; continue;} /* SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative row"); */
1714     if (row >= A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Row %D too large", row);
1715     rp   = aj + ai[brow] ; ap = aa + bs2*ai[brow] ;
1716     nrow = ailen[brow];
1717     for (l=0; l<n; l++) { /* loop over columns */
1718       if (in[l] < 0) {v++; continue;} /* SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative column"); */
1719       if (in[l] >= A->cmap->n) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Column %D too large", in[l]);
1720       col  = in[l] ;
1721       bcol = col/bs;
1722       cidx = col%bs;
1723       ridx = row%bs;
1724       high = nrow;
1725       low  = 0; /* assume unsorted */
1726       while (high-low > 5) {
1727         t = (low+high)/2;
1728         if (rp[t] > bcol) high = t;
1729         else             low  = t;
1730       }
1731       for (i=low; i<high; i++) {
1732         if (rp[i] > bcol) break;
1733         if (rp[i] == bcol) {
1734           *v++ = ap[bs2*i+bs*cidx+ridx];
1735           goto finished;
1736         }
1737       }
1738       *v++ = 0.0;
1739       finished:;
1740     }
1741   }
1742   PetscFunctionReturn(0);
1743 }
1744 
1745 #define CHUNKSIZE 10
1746 #undef __FUNCT__
1747 #define __FUNCT__ "MatSetValuesBlocked_SeqBAIJ"
1748 PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
1749 {
1750   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1751   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,lastcol = -1;
1752   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
1753   PetscErrorCode    ierr;
1754   PetscInt          *aj=a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs,stepval;
1755   PetscTruth        roworiented=a->roworiented;
1756   const PetscScalar *value = v;
1757   MatScalar         *ap,*aa = a->a,*bap;
1758 
1759   PetscFunctionBegin;
1760   if (roworiented) {
1761     stepval = (n-1)*bs;
1762   } else {
1763     stepval = (m-1)*bs;
1764   }
1765   for (k=0; k<m; k++) { /* loop over added rows */
1766     row  = im[k];
1767     if (row < 0) continue;
1768 #if defined(PETSC_USE_DEBUG)
1769     if (row >= a->mbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,a->mbs-1);
1770 #endif
1771     rp   = aj + ai[row];
1772     ap   = aa + bs2*ai[row];
1773     rmax = imax[row];
1774     nrow = ailen[row];
1775     low  = 0;
1776     high = nrow;
1777     for (l=0; l<n; l++) { /* loop over added columns */
1778       if (in[l] < 0) continue;
1779 #if defined(PETSC_USE_DEBUG)
1780       if (in[l] >= a->nbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],a->nbs-1);
1781 #endif
1782       col = in[l];
1783       if (roworiented) {
1784         value = v + k*(stepval+bs)*bs + l*bs;
1785       } else {
1786         value = v + l*(stepval+bs)*bs + k*bs;
1787       }
1788       if (col <= lastcol) low = 0; else high = nrow;
1789       lastcol = col;
1790       while (high-low > 7) {
1791         t = (low+high)/2;
1792         if (rp[t] > col) high = t;
1793         else             low  = t;
1794       }
1795       for (i=low; i<high; i++) {
1796         if (rp[i] > col) break;
1797         if (rp[i] == col) {
1798           bap  = ap +  bs2*i;
1799           if (roworiented) {
1800             if (is == ADD_VALUES) {
1801               for (ii=0; ii<bs; ii++,value+=stepval) {
1802                 for (jj=ii; jj<bs2; jj+=bs) {
1803                   bap[jj] += *value++;
1804                 }
1805               }
1806             } else {
1807               for (ii=0; ii<bs; ii++,value+=stepval) {
1808                 for (jj=ii; jj<bs2; jj+=bs) {
1809                   bap[jj] = *value++;
1810                 }
1811               }
1812             }
1813           } else {
1814             if (is == ADD_VALUES) {
1815               for (ii=0; ii<bs; ii++,value+=stepval) {
1816                 for (jj=0; jj<bs; jj++) {
1817                   *bap++ += *value++;
1818                 }
1819               }
1820             } else {
1821               for (ii=0; ii<bs; ii++,value+=stepval) {
1822                 for (jj=0; jj<bs; jj++) {
1823                   *bap++  = *value++;
1824                 }
1825               }
1826             }
1827           }
1828           goto noinsert2;
1829         }
1830       }
1831       if (nonew == 1) goto noinsert2;
1832       if (nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
1833       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
1834       N = nrow++ - 1; high++;
1835       /* shift up all the later entries in this row */
1836       for (ii=N; ii>=i; ii--) {
1837         rp[ii+1] = rp[ii];
1838         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
1839       }
1840       if (N >= i) {
1841         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1842       }
1843       rp[i] = col;
1844       bap   = ap +  bs2*i;
1845       if (roworiented) {
1846         for (ii=0; ii<bs; ii++,value+=stepval) {
1847           for (jj=ii; jj<bs2; jj+=bs) {
1848             bap[jj] = *value++;
1849           }
1850         }
1851       } else {
1852         for (ii=0; ii<bs; ii++,value+=stepval) {
1853           for (jj=0; jj<bs; jj++) {
1854             *bap++  = *value++;
1855           }
1856         }
1857       }
1858       noinsert2:;
1859       low = i;
1860     }
1861     ailen[row] = nrow;
1862   }
1863   PetscFunctionReturn(0);
1864 }
1865 
1866 #undef __FUNCT__
1867 #define __FUNCT__ "MatAssemblyEnd_SeqBAIJ"
1868 PetscErrorCode MatAssemblyEnd_SeqBAIJ(Mat A,MatAssemblyType mode)
1869 {
1870   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1871   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
1872   PetscInt       m = A->rmap->N,*ip,N,*ailen = a->ilen;
1873   PetscErrorCode ierr;
1874   PetscInt       mbs = a->mbs,bs2 = a->bs2,rmax = 0;
1875   MatScalar      *aa = a->a,*ap;
1876   PetscReal      ratio=0.6;
1877 
1878   PetscFunctionBegin;
1879   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
1880 
1881   if (m) rmax = ailen[0];
1882   for (i=1; i<mbs; i++) {
1883     /* move each row back by the amount of empty slots (fshift) before it*/
1884     fshift += imax[i-1] - ailen[i-1];
1885     rmax   = PetscMax(rmax,ailen[i]);
1886     if (fshift) {
1887       ip = aj + ai[i]; ap = aa + bs2*ai[i];
1888       N = ailen[i];
1889       for (j=0; j<N; j++) {
1890         ip[j-fshift] = ip[j];
1891         ierr = PetscMemcpy(ap+(j-fshift)*bs2,ap+j*bs2,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1892       }
1893     }
1894     ai[i] = ai[i-1] + ailen[i-1];
1895   }
1896   if (mbs) {
1897     fshift += imax[mbs-1] - ailen[mbs-1];
1898     ai[mbs] = ai[mbs-1] + ailen[mbs-1];
1899   }
1900   /* reset ilen and imax for each row */
1901   for (i=0; i<mbs; i++) {
1902     ailen[i] = imax[i] = ai[i+1] - ai[i];
1903   }
1904   a->nz = ai[mbs];
1905 
1906   /* diagonals may have moved, so kill the diagonal pointers */
1907   a->idiagvalid = PETSC_FALSE;
1908   if (fshift && a->diag) {
1909     ierr = PetscFree(a->diag);CHKERRQ(ierr);
1910     ierr = PetscLogObjectMemory(A,-(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
1911     a->diag = 0;
1912   }
1913   if (fshift && a->nounused == -1) {
1914     SETERRQ4(PETSC_ERR_PLIB, "Unused space detected in matrix: %D X %D block size %D, %D unneeded", m, A->cmap->n, A->rmap->bs, fshift*bs2);
1915   }
1916   ierr = PetscInfo5(A,"Matrix size: %D X %D, block size %D; storage space: %D unneeded, %D used\n",m,A->cmap->n,A->rmap->bs,fshift*bs2,a->nz*bs2);CHKERRQ(ierr);
1917   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues is %D\n",a->reallocs);CHKERRQ(ierr);
1918   ierr = PetscInfo1(A,"Most nonzeros blocks in any row is %D\n",rmax);CHKERRQ(ierr);
1919   a->reallocs          = 0;
1920   A->info.nz_unneeded  = (PetscReal)fshift*bs2;
1921 
1922   /* check for zero rows. If found a large number of zero rows, use CompressedRow functions */
1923   if (a->compressedrow.use){
1924     ierr = Mat_CheckCompressedRow(A,&a->compressedrow,a->i,mbs,ratio);CHKERRQ(ierr);
1925   }
1926 
1927   A->same_nonzero = PETSC_TRUE;
1928   PetscFunctionReturn(0);
1929 }
1930 
1931 /*
1932    This function returns an array of flags which indicate the locations of contiguous
1933    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
1934    then the resulting sizes = [3,1,1,3,1] correspondig to sets [(0,1,2),(3),(5),(6,7,8),(9)]
1935    Assume: sizes should be long enough to hold all the values.
1936 */
1937 #undef __FUNCT__
1938 #define __FUNCT__ "MatZeroRows_SeqBAIJ_Check_Blocks"
1939 static PetscErrorCode MatZeroRows_SeqBAIJ_Check_Blocks(PetscInt idx[],PetscInt n,PetscInt bs,PetscInt sizes[], PetscInt *bs_max)
1940 {
1941   PetscInt   i,j,k,row;
1942   PetscTruth flg;
1943 
1944   PetscFunctionBegin;
1945   for (i=0,j=0; i<n; j++) {
1946     row = idx[i];
1947     if (row%bs!=0) { /* Not the begining of a block */
1948       sizes[j] = 1;
1949       i++;
1950     } else if (i+bs > n) { /* complete block doesn't exist (at idx end) */
1951       sizes[j] = 1;         /* Also makes sure atleast 'bs' values exist for next else */
1952       i++;
1953     } else { /* Begining of the block, so check if the complete block exists */
1954       flg = PETSC_TRUE;
1955       for (k=1; k<bs; k++) {
1956         if (row+k != idx[i+k]) { /* break in the block */
1957           flg = PETSC_FALSE;
1958           break;
1959         }
1960       }
1961       if (flg) { /* No break in the bs */
1962         sizes[j] = bs;
1963         i+= bs;
1964       } else {
1965         sizes[j] = 1;
1966         i++;
1967       }
1968     }
1969   }
1970   *bs_max = j;
1971   PetscFunctionReturn(0);
1972 }
1973 
1974 #undef __FUNCT__
1975 #define __FUNCT__ "MatZeroRows_SeqBAIJ"
1976 PetscErrorCode MatZeroRows_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag)
1977 {
1978   Mat_SeqBAIJ    *baij=(Mat_SeqBAIJ*)A->data;
1979   PetscErrorCode ierr;
1980   PetscInt       i,j,k,count,*rows;
1981   PetscInt       bs=A->rmap->bs,bs2=baij->bs2,*sizes,row,bs_max;
1982   PetscScalar    zero = 0.0;
1983   MatScalar      *aa;
1984 
1985   PetscFunctionBegin;
1986   /* Make a copy of the IS and  sort it */
1987   /* allocate memory for rows,sizes */
1988   ierr  = PetscMalloc((3*is_n+1)*sizeof(PetscInt),&rows);CHKERRQ(ierr);
1989   sizes = rows + is_n;
1990 
1991   /* copy IS values to rows, and sort them */
1992   for (i=0; i<is_n; i++) { rows[i] = is_idx[i]; }
1993   ierr = PetscSortInt(is_n,rows);CHKERRQ(ierr);
1994   if (baij->keepzeroedrows) {
1995     for (i=0; i<is_n; i++) { sizes[i] = 1; }
1996     bs_max = is_n;
1997     A->same_nonzero = PETSC_TRUE;
1998   } else {
1999     ierr = MatZeroRows_SeqBAIJ_Check_Blocks(rows,is_n,bs,sizes,&bs_max);CHKERRQ(ierr);
2000     A->same_nonzero = PETSC_FALSE;
2001   }
2002 
2003   for (i=0,j=0; i<bs_max; j+=sizes[i],i++) {
2004     row   = rows[j];
2005     if (row < 0 || row > A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range",row);
2006     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2007     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2008     if (sizes[i] == bs && !baij->keepzeroedrows) {
2009       if (diag != 0.0) {
2010         if (baij->ilen[row/bs] > 0) {
2011           baij->ilen[row/bs]       = 1;
2012           baij->j[baij->i[row/bs]] = row/bs;
2013           ierr = PetscMemzero(aa,count*bs*sizeof(MatScalar));CHKERRQ(ierr);
2014         }
2015         /* Now insert all the diagonal values for this bs */
2016         for (k=0; k<bs; k++) {
2017           ierr = (*A->ops->setvalues)(A,1,rows+j+k,1,rows+j+k,&diag,INSERT_VALUES);CHKERRQ(ierr);
2018         }
2019       } else { /* (diag == 0.0) */
2020         baij->ilen[row/bs] = 0;
2021       } /* end (diag == 0.0) */
2022     } else { /* (sizes[i] != bs) */
2023 #if defined (PETSC_USE_DEBUG)
2024       if (sizes[i] != 1) SETERRQ(PETSC_ERR_PLIB,"Internal Error. Value should be 1");
2025 #endif
2026       for (k=0; k<count; k++) {
2027         aa[0] =  zero;
2028         aa    += bs;
2029       }
2030       if (diag != 0.0) {
2031         ierr = (*A->ops->setvalues)(A,1,rows+j,1,rows+j,&diag,INSERT_VALUES);CHKERRQ(ierr);
2032       }
2033     }
2034   }
2035 
2036   ierr = PetscFree(rows);CHKERRQ(ierr);
2037   ierr = MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2038   PetscFunctionReturn(0);
2039 }
2040 
2041 #undef __FUNCT__
2042 #define __FUNCT__ "MatSetValues_SeqBAIJ"
2043 PetscErrorCode MatSetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
2044 {
2045   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2046   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,lastcol = -1;
2047   PetscInt       *imax=a->imax,*ai=a->i,*ailen=a->ilen;
2048   PetscInt       *aj=a->j,nonew=a->nonew,bs=A->rmap->bs,brow,bcol;
2049   PetscErrorCode ierr;
2050   PetscInt       ridx,cidx,bs2=a->bs2;
2051   PetscTruth     roworiented=a->roworiented;
2052   MatScalar      *ap,value,*aa=a->a,*bap;
2053 
2054   PetscFunctionBegin;
2055   for (k=0; k<m; k++) { /* loop over added rows */
2056     row  = im[k];
2057     brow = row/bs;
2058     if (row < 0) continue;
2059 #if defined(PETSC_USE_DEBUG)
2060     if (row >= A->rmap->N) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->N-1);
2061 #endif
2062     rp   = aj + ai[brow];
2063     ap   = aa + bs2*ai[brow];
2064     rmax = imax[brow];
2065     nrow = ailen[brow];
2066     low  = 0;
2067     high = nrow;
2068     for (l=0; l<n; l++) { /* loop over added columns */
2069       if (in[l] < 0) continue;
2070 #if defined(PETSC_USE_DEBUG)
2071       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
2072 #endif
2073       col = in[l]; bcol = col/bs;
2074       ridx = row % bs; cidx = col % bs;
2075       if (roworiented) {
2076         value = v[l + k*n];
2077       } else {
2078         value = v[k + l*m];
2079       }
2080       if (col <= lastcol) low = 0; else high = nrow;
2081       lastcol = col;
2082       while (high-low > 7) {
2083         t = (low+high)/2;
2084         if (rp[t] > bcol) high = t;
2085         else              low  = t;
2086       }
2087       for (i=low; i<high; i++) {
2088         if (rp[i] > bcol) break;
2089         if (rp[i] == bcol) {
2090           bap  = ap +  bs2*i + bs*cidx + ridx;
2091           if (is == ADD_VALUES) *bap += value;
2092           else                  *bap  = value;
2093           goto noinsert1;
2094         }
2095       }
2096       if (nonew == 1) goto noinsert1;
2097       if (nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
2098       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
2099       N = nrow++ - 1; high++;
2100       /* shift up all the later entries in this row */
2101       for (ii=N; ii>=i; ii--) {
2102         rp[ii+1] = rp[ii];
2103         ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
2104       }
2105       if (N>=i) {
2106         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
2107       }
2108       rp[i]                      = bcol;
2109       ap[bs2*i + bs*cidx + ridx] = value;
2110       a->nz++;
2111       noinsert1:;
2112       low = i;
2113     }
2114     ailen[brow] = nrow;
2115   }
2116   A->same_nonzero = PETSC_FALSE;
2117   PetscFunctionReturn(0);
2118 }
2119 
2120 EXTERN PetscErrorCode MatSeqBAIJSetNumericFactorization(Mat,PetscTruth);
2121 
2122 #undef __FUNCT__
2123 #define __FUNCT__ "MatILUFactor_SeqBAIJ"
2124 PetscErrorCode MatILUFactor_SeqBAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2125 {
2126   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inA->data;
2127   Mat            outA;
2128   PetscErrorCode ierr;
2129   PetscTruth     row_identity,col_identity;
2130 
2131   PetscFunctionBegin;
2132   if (info->levels != 0) SETERRQ(PETSC_ERR_SUP,"Only levels = 0 supported for in-place ILU");
2133   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2134   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2135   if (!row_identity || !col_identity) {
2136     SETERRQ(PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for in-place ILU");
2137   }
2138 
2139   outA          = inA;
2140   inA->factor   = MAT_FACTOR_LU;
2141 
2142   ierr = MatMarkDiagonal_SeqBAIJ(inA);CHKERRQ(ierr);
2143 
2144   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2145   if (a->row) { ierr = ISDestroy(a->row);CHKERRQ(ierr); }
2146   a->row = row;
2147   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2148   if (a->col) { ierr = ISDestroy(a->col);CHKERRQ(ierr); }
2149   a->col = col;
2150 
2151   /* Create the invert permutation so that it can be used in MatLUFactorNumeric() */
2152   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2153   ierr = PetscLogObjectParent(inA,a->icol);CHKERRQ(ierr);
2154 
2155   ierr = MatSeqBAIJSetNumericFactorization(inA,(PetscTruth)(row_identity && col_identity));CHKERRQ(ierr);
2156   if (!a->solve_work) {
2157     ierr = PetscMalloc((inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
2158     ierr = PetscLogObjectMemory(inA,(inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar));CHKERRQ(ierr);
2159   }
2160   ierr = MatLUFactorNumeric(outA,inA,info);CHKERRQ(ierr);
2161 
2162   PetscFunctionReturn(0);
2163 }
2164 
2165 EXTERN_C_BEGIN
2166 #undef __FUNCT__
2167 #define __FUNCT__ "MatSeqBAIJSetColumnIndices_SeqBAIJ"
2168 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetColumnIndices_SeqBAIJ(Mat mat,PetscInt *indices)
2169 {
2170   Mat_SeqBAIJ *baij = (Mat_SeqBAIJ *)mat->data;
2171   PetscInt    i,nz,nbs;
2172 
2173   PetscFunctionBegin;
2174   nz  = baij->maxnz/baij->bs2;
2175   nbs = baij->nbs;
2176   for (i=0; i<nz; i++) {
2177     baij->j[i] = indices[i];
2178   }
2179   baij->nz = nz;
2180   for (i=0; i<nbs; i++) {
2181     baij->ilen[i] = baij->imax[i];
2182   }
2183 
2184   PetscFunctionReturn(0);
2185 }
2186 EXTERN_C_END
2187 
2188 #undef __FUNCT__
2189 #define __FUNCT__ "MatSeqBAIJSetColumnIndices"
2190 /*@
2191     MatSeqBAIJSetColumnIndices - Set the column indices for all the rows
2192        in the matrix.
2193 
2194   Input Parameters:
2195 +  mat - the SeqBAIJ matrix
2196 -  indices - the column indices
2197 
2198   Level: advanced
2199 
2200   Notes:
2201     This can be called if you have precomputed the nonzero structure of the
2202   matrix and want to provide it to the matrix object to improve the performance
2203   of the MatSetValues() operation.
2204 
2205     You MUST have set the correct numbers of nonzeros per row in the call to
2206   MatCreateSeqBAIJ(), and the columns indices MUST be sorted.
2207 
2208     MUST be called before any calls to MatSetValues();
2209 
2210 @*/
2211 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetColumnIndices(Mat mat,PetscInt *indices)
2212 {
2213   PetscErrorCode ierr,(*f)(Mat,PetscInt *);
2214 
2215   PetscFunctionBegin;
2216   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2217   PetscValidPointer(indices,2);
2218   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqBAIJSetColumnIndices_C",(void (**)(void))&f);CHKERRQ(ierr);
2219   if (f) {
2220     ierr = (*f)(mat,indices);CHKERRQ(ierr);
2221   } else {
2222     SETERRQ(PETSC_ERR_ARG_WRONG,"Wrong type of matrix to set column indices");
2223   }
2224   PetscFunctionReturn(0);
2225 }
2226 
2227 #undef __FUNCT__
2228 #define __FUNCT__ "MatGetRowMaxAbs_SeqBAIJ"
2229 PetscErrorCode MatGetRowMaxAbs_SeqBAIJ(Mat A,Vec v,PetscInt idx[])
2230 {
2231   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2232   PetscErrorCode ierr;
2233   PetscInt       i,j,n,row,bs,*ai,*aj,mbs;
2234   PetscReal      atmp;
2235   PetscScalar    *x,zero = 0.0;
2236   MatScalar      *aa;
2237   PetscInt       ncols,brow,krow,kcol;
2238 
2239   PetscFunctionBegin;
2240   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2241   bs   = A->rmap->bs;
2242   aa   = a->a;
2243   ai   = a->i;
2244   aj   = a->j;
2245   mbs  = a->mbs;
2246 
2247   ierr = VecSet(v,zero);CHKERRQ(ierr);
2248   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2249   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2250   if (n != A->rmap->N) SETERRQ(PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2251   for (i=0; i<mbs; i++) {
2252     ncols = ai[1] - ai[0]; ai++;
2253     brow  = bs*i;
2254     for (j=0; j<ncols; j++){
2255       for (kcol=0; kcol<bs; kcol++){
2256         for (krow=0; krow<bs; krow++){
2257           atmp = PetscAbsScalar(*aa);aa++;
2258           row = brow + krow;    /* row index */
2259           /* printf("val[%d,%d]: %G\n",row,bcol+kcol,atmp); */
2260           if (PetscAbsScalar(x[row]) < atmp) {x[row] = atmp; if (idx) idx[row] = bs*(*aj) + kcol;}
2261         }
2262       }
2263       aj++;
2264     }
2265   }
2266   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2267   PetscFunctionReturn(0);
2268 }
2269 
2270 #undef __FUNCT__
2271 #define __FUNCT__ "MatCopy_SeqBAIJ"
2272 PetscErrorCode MatCopy_SeqBAIJ(Mat A,Mat B,MatStructure str)
2273 {
2274   PetscErrorCode ierr;
2275 
2276   PetscFunctionBegin;
2277   /* If the two matrices have the same copy implementation, use fast copy. */
2278   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2279     Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2280     Mat_SeqBAIJ *b = (Mat_SeqBAIJ*)B->data;
2281 
2282     if (a->i[A->rmap->N] != b->i[B->rmap->N]) {
2283       SETERRQ(PETSC_ERR_ARG_INCOMP,"Number of nonzeros in two matrices are different");
2284     }
2285     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->N])*sizeof(PetscScalar));CHKERRQ(ierr);
2286   } else {
2287     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2288   }
2289   PetscFunctionReturn(0);
2290 }
2291 
2292 #undef __FUNCT__
2293 #define __FUNCT__ "MatSetUpPreallocation_SeqBAIJ"
2294 PetscErrorCode MatSetUpPreallocation_SeqBAIJ(Mat A)
2295 {
2296   PetscErrorCode ierr;
2297 
2298   PetscFunctionBegin;
2299   ierr =  MatSeqBAIJSetPreallocation_SeqBAIJ(A,-PetscMax(A->rmap->bs,1),PETSC_DEFAULT,0);CHKERRQ(ierr);
2300   PetscFunctionReturn(0);
2301 }
2302 
2303 #undef __FUNCT__
2304 #define __FUNCT__ "MatGetArray_SeqBAIJ"
2305 PetscErrorCode MatGetArray_SeqBAIJ(Mat A,PetscScalar *array[])
2306 {
2307   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2308   PetscFunctionBegin;
2309   *array = a->a;
2310   PetscFunctionReturn(0);
2311 }
2312 
2313 #undef __FUNCT__
2314 #define __FUNCT__ "MatRestoreArray_SeqBAIJ"
2315 PetscErrorCode MatRestoreArray_SeqBAIJ(Mat A,PetscScalar *array[])
2316 {
2317   PetscFunctionBegin;
2318   PetscFunctionReturn(0);
2319 }
2320 
2321 #include "petscblaslapack.h"
2322 #undef __FUNCT__
2323 #define __FUNCT__ "MatAXPY_SeqBAIJ"
2324 PetscErrorCode MatAXPY_SeqBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2325 {
2326   Mat_SeqBAIJ    *x  = (Mat_SeqBAIJ *)X->data,*y = (Mat_SeqBAIJ *)Y->data;
2327   PetscErrorCode ierr;
2328   PetscInt       i,bs=Y->rmap->bs,j,bs2;
2329   PetscBLASInt   one=1,bnz = PetscBLASIntCast(x->nz);
2330 
2331   PetscFunctionBegin;
2332   if (str == SAME_NONZERO_PATTERN) {
2333     PetscScalar alpha = a;
2334     BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one);
2335   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2336     if (y->xtoy && y->XtoY != X) {
2337       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2338       ierr = MatDestroy(y->XtoY);CHKERRQ(ierr);
2339     }
2340     if (!y->xtoy) { /* get xtoy */
2341       ierr = MatAXPYGetxtoy_Private(x->mbs,x->i,x->j,PETSC_NULL, y->i,y->j,PETSC_NULL, &y->xtoy);CHKERRQ(ierr);
2342       y->XtoY = X;
2343       ierr = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
2344     }
2345     bs2 = bs*bs;
2346     for (i=0; i<x->nz; i++) {
2347       j = 0;
2348       while (j < bs2){
2349         y->a[bs2*y->xtoy[i]+j] += a*(x->a[bs2*i+j]);
2350         j++;
2351       }
2352     }
2353     ierr = PetscInfo3(Y,"ratio of nnz(X)/nnz(Y): %D/%D = %G\n",bs2*x->nz,bs2*y->nz,(PetscReal)(bs2*x->nz)/(bs2*y->nz));CHKERRQ(ierr);
2354   } else {
2355     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2356   }
2357   PetscFunctionReturn(0);
2358 }
2359 
2360 #undef __FUNCT__
2361 #define __FUNCT__ "MatRealPart_SeqBAIJ"
2362 PetscErrorCode MatRealPart_SeqBAIJ(Mat A)
2363 {
2364   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2365   PetscInt       i,nz = a->bs2*a->i[a->mbs];
2366   MatScalar      *aa = a->a;
2367 
2368   PetscFunctionBegin;
2369   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
2370   PetscFunctionReturn(0);
2371 }
2372 
2373 #undef __FUNCT__
2374 #define __FUNCT__ "MatImaginaryPart_SeqBAIJ"
2375 PetscErrorCode MatImaginaryPart_SeqBAIJ(Mat A)
2376 {
2377   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2378   PetscInt       i,nz = a->bs2*a->i[a->mbs];
2379   MatScalar      *aa = a->a;
2380 
2381   PetscFunctionBegin;
2382   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
2383   PetscFunctionReturn(0);
2384 }
2385 
2386 
2387 /* -------------------------------------------------------------------*/
2388 static struct _MatOps MatOps_Values = {MatSetValues_SeqBAIJ,
2389        MatGetRow_SeqBAIJ,
2390        MatRestoreRow_SeqBAIJ,
2391        MatMult_SeqBAIJ_N,
2392 /* 4*/ MatMultAdd_SeqBAIJ_N,
2393        MatMultTranspose_SeqBAIJ,
2394        MatMultTransposeAdd_SeqBAIJ,
2395        0,
2396        0,
2397        0,
2398 /*10*/ 0,
2399        MatLUFactor_SeqBAIJ,
2400        0,
2401        0,
2402        MatTranspose_SeqBAIJ,
2403 /*15*/ MatGetInfo_SeqBAIJ,
2404        MatEqual_SeqBAIJ,
2405        MatGetDiagonal_SeqBAIJ,
2406        MatDiagonalScale_SeqBAIJ,
2407        MatNorm_SeqBAIJ,
2408 /*20*/ 0,
2409        MatAssemblyEnd_SeqBAIJ,
2410        0,
2411        MatSetOption_SeqBAIJ,
2412        MatZeroEntries_SeqBAIJ,
2413 /*25*/ MatZeroRows_SeqBAIJ,
2414        0,
2415        0,
2416        0,
2417        0,
2418 /*30*/ MatSetUpPreallocation_SeqBAIJ,
2419        0,
2420        0,
2421        MatGetArray_SeqBAIJ,
2422        MatRestoreArray_SeqBAIJ,
2423 /*35*/ MatDuplicate_SeqBAIJ,
2424        0,
2425        0,
2426        MatILUFactor_SeqBAIJ,
2427        0,
2428 /*40*/ MatAXPY_SeqBAIJ,
2429        MatGetSubMatrices_SeqBAIJ,
2430        MatIncreaseOverlap_SeqBAIJ,
2431        MatGetValues_SeqBAIJ,
2432        MatCopy_SeqBAIJ,
2433 /*45*/ 0,
2434        MatScale_SeqBAIJ,
2435        0,
2436        0,
2437        0,
2438 /*50*/ 0,
2439        MatGetRowIJ_SeqBAIJ,
2440        MatRestoreRowIJ_SeqBAIJ,
2441        0,
2442        0,
2443 /*55*/ 0,
2444        0,
2445        0,
2446        0,
2447        MatSetValuesBlocked_SeqBAIJ,
2448 /*60*/ MatGetSubMatrix_SeqBAIJ,
2449        MatDestroy_SeqBAIJ,
2450        MatView_SeqBAIJ,
2451        0,
2452        0,
2453 /*65*/ 0,
2454        0,
2455        0,
2456        0,
2457        0,
2458 /*70*/ MatGetRowMaxAbs_SeqBAIJ,
2459        0,
2460        MatConvert_Basic,
2461        0,
2462        0,
2463 /*75*/ 0,
2464        0,
2465        0,
2466        0,
2467        0,
2468 /*80*/ 0,
2469        0,
2470        0,
2471        0,
2472        MatLoad_SeqBAIJ,
2473 /*85*/ 0,
2474        0,
2475        0,
2476        0,
2477        0,
2478 /*90*/ 0,
2479        0,
2480        0,
2481        0,
2482        0,
2483 /*95*/ 0,
2484        0,
2485        0,
2486        0,
2487        0,
2488 /*100*/0,
2489        0,
2490        0,
2491        0,
2492        0,
2493 /*105*/0,
2494        MatRealPart_SeqBAIJ,
2495        MatImaginaryPart_SeqBAIJ,
2496        0,
2497        0,
2498 /*110*/0,
2499        0,
2500        0,
2501        0,
2502        MatMissingDiagonal_SeqBAIJ
2503 /*115*/
2504 };
2505 
2506 EXTERN_C_BEGIN
2507 #undef __FUNCT__
2508 #define __FUNCT__ "MatStoreValues_SeqBAIJ"
2509 PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues_SeqBAIJ(Mat mat)
2510 {
2511   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ *)mat->data;
2512   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
2513   PetscErrorCode ierr;
2514 
2515   PetscFunctionBegin;
2516   if (aij->nonew != 1) {
2517     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2518   }
2519 
2520   /* allocate space for values if not already there */
2521   if (!aij->saved_values) {
2522     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
2523   }
2524 
2525   /* copy values over */
2526   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2527   PetscFunctionReturn(0);
2528 }
2529 EXTERN_C_END
2530 
2531 EXTERN_C_BEGIN
2532 #undef __FUNCT__
2533 #define __FUNCT__ "MatRetrieveValues_SeqBAIJ"
2534 PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues_SeqBAIJ(Mat mat)
2535 {
2536   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ *)mat->data;
2537   PetscErrorCode ierr;
2538   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
2539 
2540   PetscFunctionBegin;
2541   if (aij->nonew != 1) {
2542     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2543   }
2544   if (!aij->saved_values) {
2545     SETERRQ(PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
2546   }
2547 
2548   /* copy values over */
2549   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2550   PetscFunctionReturn(0);
2551 }
2552 EXTERN_C_END
2553 
2554 EXTERN_C_BEGIN
2555 extern PetscErrorCode PETSCMAT_DLLEXPORT MatConvert_SeqBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
2556 extern PetscErrorCode PETSCMAT_DLLEXPORT MatConvert_SeqBAIJ_SeqSBAIJ(Mat, MatType,MatReuse,Mat*);
2557 EXTERN_C_END
2558 
2559 EXTERN_C_BEGIN
2560 #undef __FUNCT__
2561 #define __FUNCT__ "MatSeqBAIJSetPreallocation_SeqBAIJ"
2562 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocation_SeqBAIJ(Mat B,PetscInt bs,PetscInt nz,PetscInt *nnz)
2563 {
2564   Mat_SeqBAIJ    *b;
2565   PetscErrorCode ierr;
2566   PetscInt       i,mbs,nbs,bs2,newbs = PetscAbs(bs);
2567   PetscTruth     flg,skipallocation = PETSC_FALSE;
2568 
2569   PetscFunctionBegin;
2570 
2571   if (nz == MAT_SKIP_ALLOCATION) {
2572     skipallocation = PETSC_TRUE;
2573     nz             = 0;
2574   }
2575 
2576   if (bs < 0) {
2577     ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Block options for SEQBAIJ matrix 1","Mat");CHKERRQ(ierr);
2578       ierr = PetscOptionsInt("-mat_block_size","Set the blocksize used to store the matrix","MatSeqBAIJSetPreallocation",newbs,&newbs,PETSC_NULL);CHKERRQ(ierr);
2579     ierr = PetscOptionsEnd();CHKERRQ(ierr);
2580     bs   = PetscAbs(bs);
2581   }
2582   if (nnz && newbs != bs) {
2583     SETERRQ(PETSC_ERR_ARG_WRONG,"Cannot change blocksize from command line if setting nnz");
2584   }
2585   bs   = newbs;
2586 
2587   ierr = PetscMapSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2588   ierr = PetscMapSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2589   ierr = PetscMapSetUp(B->rmap);CHKERRQ(ierr);
2590   ierr = PetscMapSetUp(B->cmap);CHKERRQ(ierr);
2591 
2592   B->preallocated = PETSC_TRUE;
2593 
2594   mbs  = B->rmap->n/bs;
2595   nbs  = B->cmap->n/bs;
2596   bs2  = bs*bs;
2597 
2598   if (mbs*bs!=B->rmap->n || nbs*bs!=B->cmap->n) {
2599     SETERRQ3(PETSC_ERR_ARG_SIZ,"Number rows %D, cols %D must be divisible by blocksize %D",B->rmap->N,B->cmap->n,bs);
2600   }
2601 
2602   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2603   if (nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
2604   if (nnz) {
2605     for (i=0; i<mbs; i++) {
2606       if (nnz[i] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %D value %D",i,nnz[i]);
2607       if (nnz[i] > nbs) SETERRQ3(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be greater than block row length: local row %D value %D rowlength %D",i,nnz[i],nbs);
2608     }
2609   }
2610 
2611   b       = (Mat_SeqBAIJ*)B->data;
2612   ierr = PetscOptionsBegin(((PetscObject)B)->comm,PETSC_NULL,"Optimize options for SEQBAIJ matrix 2 ","Mat");CHKERRQ(ierr);
2613     ierr = PetscOptionsTruth("-mat_no_unroll","Do not optimize for block size (slow)",PETSC_NULL,PETSC_FALSE,&flg,PETSC_NULL);CHKERRQ(ierr);
2614   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2615 
2616   if (!flg) {
2617     switch (bs) {
2618     case 1:
2619       B->ops->mult            = MatMult_SeqBAIJ_1;
2620       B->ops->multadd         = MatMultAdd_SeqBAIJ_1;
2621       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_1;
2622       break;
2623     case 2:
2624       B->ops->mult            = MatMult_SeqBAIJ_2;
2625       B->ops->multadd         = MatMultAdd_SeqBAIJ_2;
2626       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_2;
2627       break;
2628     case 3:
2629       B->ops->mult            = MatMult_SeqBAIJ_3;
2630       B->ops->multadd         = MatMultAdd_SeqBAIJ_3;
2631       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_3;
2632       break;
2633     case 4:
2634       B->ops->mult            = MatMult_SeqBAIJ_4;
2635       B->ops->multadd         = MatMultAdd_SeqBAIJ_4;
2636       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_4;
2637       break;
2638     case 5:
2639       B->ops->mult            = MatMult_SeqBAIJ_5;
2640       B->ops->multadd         = MatMultAdd_SeqBAIJ_5;
2641       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_5;
2642       break;
2643     case 6:
2644       B->ops->mult            = MatMult_SeqBAIJ_6;
2645       B->ops->multadd         = MatMultAdd_SeqBAIJ_6;
2646       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_6;
2647       break;
2648     case 7:
2649       B->ops->mult            = MatMult_SeqBAIJ_7;
2650       B->ops->multadd         = MatMultAdd_SeqBAIJ_7;
2651       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_7;
2652       break;
2653     default:
2654       B->ops->mult            = MatMult_SeqBAIJ_N;
2655       B->ops->multadd         = MatMultAdd_SeqBAIJ_N;
2656       break;
2657     }
2658   }
2659   B->rmap->bs      = bs;
2660   b->mbs     = mbs;
2661   b->nbs     = nbs;
2662   if (!skipallocation) {
2663     if (!b->imax) {
2664       ierr = PetscMalloc2(mbs,PetscInt,&b->imax,mbs,PetscInt,&b->ilen);CHKERRQ(ierr);
2665     }
2666     /* b->ilen will count nonzeros in each block row so far. */
2667     for (i=0; i<mbs; i++) { b->ilen[i] = 0;}
2668     if (!nnz) {
2669       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2670       else if (nz <= 0)        nz = 1;
2671       for (i=0; i<mbs; i++) b->imax[i] = nz;
2672       nz = nz*mbs;
2673     } else {
2674       nz = 0;
2675       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
2676     }
2677 
2678     /* allocate the matrix space */
2679     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
2680     ierr = PetscMalloc3(bs2*nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->N+1,PetscInt,&b->i);CHKERRQ(ierr);
2681     ierr = PetscLogObjectMemory(B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
2682     ierr  = PetscMemzero(b->a,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
2683     ierr  = PetscMemzero(b->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2684     b->singlemalloc = PETSC_TRUE;
2685     b->i[0] = 0;
2686     for (i=1; i<mbs+1; i++) {
2687       b->i[i] = b->i[i-1] + b->imax[i-1];
2688     }
2689     b->free_a     = PETSC_TRUE;
2690     b->free_ij    = PETSC_TRUE;
2691   } else {
2692     b->free_a     = PETSC_FALSE;
2693     b->free_ij    = PETSC_FALSE;
2694   }
2695 
2696   B->rmap->bs          = bs;
2697   b->bs2              = bs2;
2698   b->mbs              = mbs;
2699   b->nz               = 0;
2700   b->maxnz            = nz*bs2;
2701   B->info.nz_unneeded = (PetscReal)b->maxnz;
2702   PetscFunctionReturn(0);
2703 }
2704 EXTERN_C_END
2705 
2706 EXTERN_C_BEGIN
2707 #undef __FUNCT__
2708 #define __FUNCT__ "MatSeqBAIJSetPreallocationCSR_SeqBAIJ"
2709 PetscErrorCode MatSeqBAIJSetPreallocationCSR_SeqBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2710 {
2711   PetscInt       i,m,nz,nz_max=0,*nnz;
2712   PetscScalar    *values=0;
2713   PetscErrorCode ierr;
2714 
2715   PetscFunctionBegin;
2716 
2717   if (bs < 1) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
2718 
2719   ierr = PetscMapSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2720   ierr = PetscMapSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2721   ierr = PetscMapSetUp(B->rmap);CHKERRQ(ierr);
2722   ierr = PetscMapSetUp(B->cmap);CHKERRQ(ierr);
2723   m = B->rmap->n/bs;
2724 
2725   if (ii[0] != 0) { SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE, "ii[0] must be 0 but it is %D",ii[0]); }
2726   ierr = PetscMalloc((m+1) * sizeof(PetscInt), &nnz);CHKERRQ(ierr);
2727   for(i=0; i<m; i++) {
2728     nz = ii[i+1]- ii[i];
2729     if (nz < 0) { SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D",i,nz); }
2730     nz_max = PetscMax(nz_max, nz);
2731     nnz[i] = nz;
2732   }
2733   ierr = MatSeqBAIJSetPreallocation(B,bs,0,nnz);CHKERRQ(ierr);
2734   ierr = PetscFree(nnz);CHKERRQ(ierr);
2735 
2736   values = (PetscScalar*)V;
2737   if (!values) {
2738     ierr = PetscMalloc(bs*bs*(nz_max+1)*sizeof(PetscScalar),&values);CHKERRQ(ierr);
2739     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
2740   }
2741   for (i=0; i<m; i++) {
2742     PetscInt          ncols  = ii[i+1] - ii[i];
2743     const PetscInt    *icols = jj + ii[i];
2744     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
2745     ierr = MatSetValuesBlocked_SeqBAIJ(B,1,&i,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
2746   }
2747   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
2748   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2749   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2750 
2751   PetscFunctionReturn(0);
2752 }
2753 EXTERN_C_END
2754 
2755 
2756 EXTERN_C_BEGIN
2757 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqbaij_petsc(Mat,MatFactorType,Mat*);
2758 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorAvailable_seqbaij_petsc(Mat,MatFactorType,Mat*);
2759 EXTERN_C_END
2760 
2761 /*MC
2762    MATSEQBAIJ - MATSEQBAIJ = "seqbaij" - A matrix type to be used for sequential block sparse matrices, based on
2763    block sparse compressed row format.
2764 
2765    Options Database Keys:
2766 . -mat_type seqbaij - sets the matrix type to "seqbaij" during a call to MatSetFromOptions()
2767 
2768   Level: beginner
2769 
2770 .seealso: MatCreateSeqBAIJ()
2771 M*/
2772 
2773 
2774 EXTERN_C_BEGIN
2775 #undef __FUNCT__
2776 #define __FUNCT__ "MatCreate_SeqBAIJ"
2777 PetscErrorCode PETSCMAT_DLLEXPORT MatCreate_SeqBAIJ(Mat B)
2778 {
2779   PetscErrorCode ierr;
2780   PetscMPIInt    size;
2781   Mat_SeqBAIJ    *b;
2782 
2783   PetscFunctionBegin;
2784   ierr = MPI_Comm_size(((PetscObject)B)->comm,&size);CHKERRQ(ierr);
2785   if (size > 1) SETERRQ(PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
2786 
2787   ierr    = PetscNewLog(B,Mat_SeqBAIJ,&b);CHKERRQ(ierr);
2788   B->data = (void*)b;
2789   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
2790   B->mapping          = 0;
2791   b->row              = 0;
2792   b->col              = 0;
2793   b->icol             = 0;
2794   b->reallocs         = 0;
2795   b->saved_values     = 0;
2796 
2797   b->roworiented      = PETSC_TRUE;
2798   b->nonew            = 0;
2799   b->diag             = 0;
2800   b->solve_work       = 0;
2801   b->mult_work        = 0;
2802   B->spptr            = 0;
2803   B->info.nz_unneeded = (PetscReal)b->maxnz;
2804   b->keepzeroedrows   = PETSC_FALSE;
2805   b->xtoy              = 0;
2806   b->XtoY              = 0;
2807   b->compressedrow.use     = PETSC_FALSE;
2808   b->compressedrow.nrows   = 0;
2809   b->compressedrow.i       = PETSC_NULL;
2810   b->compressedrow.rindex  = PETSC_NULL;
2811   b->compressedrow.checked = PETSC_FALSE;
2812   B->same_nonzero          = PETSC_FALSE;
2813 
2814   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactorAvailable_seqbaij_petsc_C",
2815                                      "MatGetFactorAvailable_seqbaij_petsc",
2816                                      MatGetFactorAvailable_seqbaij_petsc);CHKERRQ(ierr);
2817   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_seqbaij_petsc_C",
2818                                      "MatGetFactor_seqbaij_petsc",
2819                                      MatGetFactor_seqbaij_petsc);CHKERRQ(ierr);
2820   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJInvertBlockDiagonal_C",
2821                                      "MatInvertBlockDiagonal_SeqBAIJ",
2822                                       MatInvertBlockDiagonal_SeqBAIJ);CHKERRQ(ierr);
2823   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
2824                                      "MatStoreValues_SeqBAIJ",
2825                                       MatStoreValues_SeqBAIJ);CHKERRQ(ierr);
2826   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
2827                                      "MatRetrieveValues_SeqBAIJ",
2828                                       MatRetrieveValues_SeqBAIJ);CHKERRQ(ierr);
2829   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetColumnIndices_C",
2830                                      "MatSeqBAIJSetColumnIndices_SeqBAIJ",
2831                                       MatSeqBAIJSetColumnIndices_SeqBAIJ);CHKERRQ(ierr);
2832   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqbaij_seqaij_C",
2833                                      "MatConvert_SeqBAIJ_SeqAIJ",
2834                                       MatConvert_SeqBAIJ_SeqAIJ);CHKERRQ(ierr);
2835   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqbaij_seqsbaij_C",
2836                                      "MatConvert_SeqBAIJ_SeqSBAIJ",
2837                                       MatConvert_SeqBAIJ_SeqSBAIJ);CHKERRQ(ierr);
2838   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetPreallocation_C",
2839                                      "MatSeqBAIJSetPreallocation_SeqBAIJ",
2840                                       MatSeqBAIJSetPreallocation_SeqBAIJ);CHKERRQ(ierr);
2841   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",
2842                                      "MatSeqBAIJSetPreallocationCSR_SeqBAIJ",
2843                                       MatSeqBAIJSetPreallocationCSR_SeqBAIJ);CHKERRQ(ierr);
2844   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQBAIJ);CHKERRQ(ierr);
2845   PetscFunctionReturn(0);
2846 }
2847 EXTERN_C_END
2848 
2849 #undef __FUNCT__
2850 #define __FUNCT__ "MatDuplicateNoCreate_SeqBAIJ"
2851 PetscErrorCode MatDuplicateNoCreate_SeqBAIJ(Mat C,Mat A,MatDuplicateOption cpvalues)
2852 {
2853   Mat_SeqBAIJ    *c = (Mat_SeqBAIJ*)C->data,*a = (Mat_SeqBAIJ*)A->data;
2854   PetscErrorCode ierr;
2855   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 = a->bs2;
2856 
2857   PetscFunctionBegin;
2858   if (a->i[mbs] != nz) SETERRQ(PETSC_ERR_PLIB,"Corrupt matrix");
2859 
2860   ierr = PetscMalloc2(mbs,PetscInt,&c->imax,mbs,PetscInt,&c->ilen);CHKERRQ(ierr);
2861   for (i=0; i<mbs; i++) {
2862     c->imax[i] = a->imax[i];
2863     c->ilen[i] = a->ilen[i];
2864   }
2865 
2866   /* allocate the matrix space */
2867   ierr = PetscMalloc3(bs2*nz,PetscScalar,&c->a,nz,PetscInt,&c->j,mbs+1,PetscInt,&c->i);CHKERRQ(ierr);
2868   c->singlemalloc = PETSC_TRUE;
2869   ierr = PetscMemcpy(c->i,a->i,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
2870   if (mbs > 0) {
2871     ierr = PetscMemcpy(c->j,a->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2872     if (cpvalues == MAT_COPY_VALUES) {
2873       ierr = PetscMemcpy(c->a,a->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
2874     } else {
2875       ierr = PetscMemzero(c->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
2876     }
2877   }
2878   c->roworiented = a->roworiented;
2879   c->nonew       = a->nonew;
2880   ierr = PetscMapCopy(((PetscObject)A)->comm,A->rmap,C->rmap);CHKERRQ(ierr);
2881   ierr = PetscMapCopy(((PetscObject)A)->comm,A->cmap,C->cmap);CHKERRQ(ierr);
2882   c->bs2         = a->bs2;
2883   c->mbs         = a->mbs;
2884   c->nbs         = a->nbs;
2885 
2886   if (a->diag) {
2887     ierr = PetscMalloc((mbs+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
2888     ierr = PetscLogObjectMemory(C,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
2889     for (i=0; i<mbs; i++) {
2890       c->diag[i] = a->diag[i];
2891     }
2892   } else c->diag        = 0;
2893   c->nz                 = a->nz;
2894   c->maxnz              = a->maxnz;
2895   c->solve_work         = 0;
2896   c->mult_work          = 0;
2897   c->free_a             = PETSC_TRUE;
2898   c->free_ij            = PETSC_TRUE;
2899   C->preallocated       = PETSC_TRUE;
2900   C->assembled          = PETSC_TRUE;
2901 
2902   c->compressedrow.use     = a->compressedrow.use;
2903   c->compressedrow.nrows   = a->compressedrow.nrows;
2904   c->compressedrow.checked = a->compressedrow.checked;
2905   if ( a->compressedrow.checked && a->compressedrow.use){
2906     i = a->compressedrow.nrows;
2907     ierr = PetscMalloc((2*i+1)*sizeof(PetscInt),&c->compressedrow.i);CHKERRQ(ierr);
2908     c->compressedrow.rindex = c->compressedrow.i + i + 1;
2909     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
2910     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
2911   } else {
2912     c->compressedrow.use    = PETSC_FALSE;
2913     c->compressedrow.i      = PETSC_NULL;
2914     c->compressedrow.rindex = PETSC_NULL;
2915   }
2916   C->same_nonzero = A->same_nonzero;
2917   ierr = PetscFListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
2918   PetscFunctionReturn(0);
2919 }
2920 
2921 #undef __FUNCT__
2922 #define __FUNCT__ "MatDuplicate_SeqBAIJ"
2923 PetscErrorCode MatDuplicate_SeqBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
2924 {
2925     PetscErrorCode ierr;
2926 
2927   PetscFunctionBegin;
2928   ierr = MatCreate(((PetscObject)A)->comm,B);CHKERRQ(ierr);
2929   ierr = MatSetSizes(*B,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n);CHKERRQ(ierr);
2930   ierr = MatSetType(*B,MATSEQBAIJ);CHKERRQ(ierr);
2931   ierr = MatDuplicateNoCreate_SeqBAIJ(*B,A,cpvalues);
2932   PetscFunctionReturn(0);
2933 }
2934 
2935 #undef __FUNCT__
2936 #define __FUNCT__ "MatLoad_SeqBAIJ"
2937 PetscErrorCode MatLoad_SeqBAIJ(PetscViewer viewer, const MatType type,Mat *A)
2938 {
2939   Mat_SeqBAIJ    *a;
2940   Mat            B;
2941   PetscErrorCode ierr;
2942   PetscInt       i,nz,header[4],*rowlengths=0,M,N,bs=1;
2943   PetscInt       *mask,mbs,*jj,j,rowcount,nzcount,k,*browlengths,maskcount;
2944   PetscInt       kmax,jcount,block,idx,point,nzcountb,extra_rows;
2945   PetscInt       *masked,nmask,tmp,bs2,ishift;
2946   PetscMPIInt    size;
2947   int            fd;
2948   PetscScalar    *aa;
2949   MPI_Comm       comm = ((PetscObject)viewer)->comm;
2950 
2951   PetscFunctionBegin;
2952   ierr = PetscOptionsBegin(comm,PETSC_NULL,"Options for loading SEQBAIJ matrix","Mat");CHKERRQ(ierr);
2953     ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,PETSC_NULL);CHKERRQ(ierr);
2954   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2955   bs2  = bs*bs;
2956 
2957   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
2958   if (size > 1) SETERRQ(PETSC_ERR_ARG_WRONG,"view must have one processor");
2959   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
2960   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
2961   if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not Mat object");
2962   M = header[1]; N = header[2]; nz = header[3];
2963 
2964   if (header[3] < 0) {
2965     SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as SeqBAIJ");
2966   }
2967 
2968   if (M != N) SETERRQ(PETSC_ERR_SUP,"Can only do square matrices");
2969 
2970   /*
2971      This code adds extra rows to make sure the number of rows is
2972     divisible by the blocksize
2973   */
2974   mbs        = M/bs;
2975   extra_rows = bs - M + bs*(mbs);
2976   if (extra_rows == bs) extra_rows = 0;
2977   else                  mbs++;
2978   if (extra_rows) {
2979     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
2980   }
2981 
2982   /* read in row lengths */
2983   ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
2984   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
2985   for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
2986 
2987   /* read in column indices */
2988   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscInt),&jj);CHKERRQ(ierr);
2989   ierr = PetscBinaryRead(fd,jj,nz,PETSC_INT);CHKERRQ(ierr);
2990   for (i=0; i<extra_rows; i++) jj[nz+i] = M+i;
2991 
2992   /* loop over row lengths determining block row lengths */
2993   ierr     = PetscMalloc(mbs*sizeof(PetscInt),&browlengths);CHKERRQ(ierr);
2994   ierr     = PetscMemzero(browlengths,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2995   ierr     = PetscMalloc(2*mbs*sizeof(PetscInt),&mask);CHKERRQ(ierr);
2996   ierr     = PetscMemzero(mask,mbs*sizeof(PetscInt));CHKERRQ(ierr);
2997   masked   = mask + mbs;
2998   rowcount = 0; nzcount = 0;
2999   for (i=0; i<mbs; i++) {
3000     nmask = 0;
3001     for (j=0; j<bs; j++) {
3002       kmax = rowlengths[rowcount];
3003       for (k=0; k<kmax; k++) {
3004         tmp = jj[nzcount++]/bs;
3005         if (!mask[tmp]) {masked[nmask++] = tmp; mask[tmp] = 1;}
3006       }
3007       rowcount++;
3008     }
3009     browlengths[i] += nmask;
3010     /* zero out the mask elements we set */
3011     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
3012   }
3013 
3014   /* create our matrix */
3015   ierr = MatCreate(comm,&B);
3016   ierr = MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,M+extra_rows,N+extra_rows);
3017   ierr = MatSetType(B,type);CHKERRQ(ierr);
3018   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(B,bs,0,browlengths);CHKERRQ(ierr);
3019   a = (Mat_SeqBAIJ*)B->data;
3020 
3021   /* set matrix "i" values */
3022   a->i[0] = 0;
3023   for (i=1; i<= mbs; i++) {
3024     a->i[i]      = a->i[i-1] + browlengths[i-1];
3025     a->ilen[i-1] = browlengths[i-1];
3026   }
3027   a->nz         = 0;
3028   for (i=0; i<mbs; i++) a->nz += browlengths[i];
3029 
3030   /* read in nonzero values */
3031   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
3032   ierr = PetscBinaryRead(fd,aa,nz,PETSC_SCALAR);CHKERRQ(ierr);
3033   for (i=0; i<extra_rows; i++) aa[nz+i] = 1.0;
3034 
3035   /* set "a" and "j" values into matrix */
3036   nzcount = 0; jcount = 0;
3037   for (i=0; i<mbs; i++) {
3038     nzcountb = nzcount;
3039     nmask    = 0;
3040     for (j=0; j<bs; j++) {
3041       kmax = rowlengths[i*bs+j];
3042       for (k=0; k<kmax; k++) {
3043         tmp = jj[nzcount++]/bs;
3044 	if (!mask[tmp]) { masked[nmask++] = tmp; mask[tmp] = 1;}
3045       }
3046     }
3047     /* sort the masked values */
3048     ierr = PetscSortInt(nmask,masked);CHKERRQ(ierr);
3049 
3050     /* set "j" values into matrix */
3051     maskcount = 1;
3052     for (j=0; j<nmask; j++) {
3053       a->j[jcount++]  = masked[j];
3054       mask[masked[j]] = maskcount++;
3055     }
3056     /* set "a" values into matrix */
3057     ishift = bs2*a->i[i];
3058     for (j=0; j<bs; j++) {
3059       kmax = rowlengths[i*bs+j];
3060       for (k=0; k<kmax; k++) {
3061         tmp       = jj[nzcountb]/bs ;
3062         block     = mask[tmp] - 1;
3063         point     = jj[nzcountb] - bs*tmp;
3064         idx       = ishift + bs2*block + j + bs*point;
3065         a->a[idx] = (MatScalar)aa[nzcountb++];
3066       }
3067     }
3068     /* zero out the mask elements we set */
3069     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
3070   }
3071   if (jcount != a->nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Bad binary matrix");
3072 
3073   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3074   ierr = PetscFree(browlengths);CHKERRQ(ierr);
3075   ierr = PetscFree(aa);CHKERRQ(ierr);
3076   ierr = PetscFree(jj);CHKERRQ(ierr);
3077   ierr = PetscFree(mask);CHKERRQ(ierr);
3078 
3079   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3080   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3081   ierr = MatView_Private(B);CHKERRQ(ierr);
3082 
3083   *A = B;
3084   PetscFunctionReturn(0);
3085 }
3086 
3087 #undef __FUNCT__
3088 #define __FUNCT__ "MatCreateSeqBAIJ"
3089 /*@C
3090    MatCreateSeqBAIJ - Creates a sparse matrix in block AIJ (block
3091    compressed row) format.  For good matrix assembly performance the
3092    user should preallocate the matrix storage by setting the parameter nz
3093    (or the array nnz).  By setting these parameters accurately, performance
3094    during matrix assembly can be increased by more than a factor of 50.
3095 
3096    Collective on MPI_Comm
3097 
3098    Input Parameters:
3099 +  comm - MPI communicator, set to PETSC_COMM_SELF
3100 .  bs - size of block
3101 .  m - number of rows
3102 .  n - number of columns
3103 .  nz - number of nonzero blocks  per block row (same for all rows)
3104 -  nnz - array containing the number of nonzero blocks in the various block rows
3105          (possibly different for each block row) or PETSC_NULL
3106 
3107    Output Parameter:
3108 .  A - the matrix
3109 
3110    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3111    MatXXXXSetPreallocation() paradgm instead of this routine directly. This is definitely
3112    true if you plan to use the external direct solvers such as SuperLU, MUMPS or Spooles.
3113    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3114 
3115    Options Database Keys:
3116 .   -mat_no_unroll - uses code that does not unroll the loops in the
3117                      block calculations (much slower)
3118 .    -mat_block_size - size of the blocks to use
3119 
3120    Level: intermediate
3121 
3122    Notes:
3123    The number of rows and columns must be divisible by blocksize.
3124 
3125    If the nnz parameter is given then the nz parameter is ignored
3126 
3127    A nonzero block is any block that as 1 or more nonzeros in it
3128 
3129    The block AIJ format is fully compatible with standard Fortran 77
3130    storage.  That is, the stored row and column indices can begin at
3131    either one (as in Fortran) or zero.  See the users' manual for details.
3132 
3133    Specify the preallocated storage with either nz or nnz (not both).
3134    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
3135    allocation.  For additional details, see the users manual chapter on
3136    matrices.
3137 
3138 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPIBAIJ()
3139 @*/
3140 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3141 {
3142   PetscErrorCode ierr;
3143 
3144   PetscFunctionBegin;
3145   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3146   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3147   ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3148   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(*A,bs,nz,(PetscInt*)nnz);CHKERRQ(ierr);
3149   PetscFunctionReturn(0);
3150 }
3151 
3152 #undef __FUNCT__
3153 #define __FUNCT__ "MatSeqBAIJSetPreallocation"
3154 /*@C
3155    MatSeqBAIJSetPreallocation - Sets the block size and expected nonzeros
3156    per row in the matrix. For good matrix assembly performance the
3157    user should preallocate the matrix storage by setting the parameter nz
3158    (or the array nnz).  By setting these parameters accurately, performance
3159    during matrix assembly can be increased by more than a factor of 50.
3160 
3161    Collective on MPI_Comm
3162 
3163    Input Parameters:
3164 +  A - the matrix
3165 .  bs - size of block
3166 .  nz - number of block nonzeros per block row (same for all rows)
3167 -  nnz - array containing the number of block nonzeros in the various block rows
3168          (possibly different for each block row) or PETSC_NULL
3169 
3170    Options Database Keys:
3171 .   -mat_no_unroll - uses code that does not unroll the loops in the
3172                      block calculations (much slower)
3173 .    -mat_block_size - size of the blocks to use
3174 
3175    Level: intermediate
3176 
3177    Notes:
3178    If the nnz parameter is given then the nz parameter is ignored
3179 
3180    You can call MatGetInfo() to get information on how effective the preallocation was;
3181    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3182    You can also run with the option -info and look for messages with the string
3183    malloc in them to see if additional memory allocation was needed.
3184 
3185    The block AIJ format is fully compatible with standard Fortran 77
3186    storage.  That is, the stored row and column indices can begin at
3187    either one (as in Fortran) or zero.  See the users' manual for details.
3188 
3189    Specify the preallocated storage with either nz or nnz (not both).
3190    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
3191    allocation.  For additional details, see the users manual chapter on
3192    matrices.
3193 
3194 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPIBAIJ(), MatGetInfo()
3195 @*/
3196 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
3197 {
3198   PetscErrorCode ierr,(*f)(Mat,PetscInt,PetscInt,const PetscInt[]);
3199 
3200   PetscFunctionBegin;
3201   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqBAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
3202   if (f) {
3203     ierr = (*f)(B,bs,nz,nnz);CHKERRQ(ierr);
3204   }
3205   PetscFunctionReturn(0);
3206 }
3207 
3208 #undef __FUNCT__
3209 #define __FUNCT__ "MatSeqBAIJSetPreallocationCSR"
3210 /*@C
3211    MatSeqBAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format
3212    (the default sequential PETSc format).
3213 
3214    Collective on MPI_Comm
3215 
3216    Input Parameters:
3217 +  A - the matrix
3218 .  i - the indices into j for the start of each local row (starts with zero)
3219 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3220 -  v - optional values in the matrix
3221 
3222    Level: developer
3223 
3224 .keywords: matrix, aij, compressed row, sparse
3225 
3226 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatSeqBAIJSetPreallocation(), MATSEQBAIJ
3227 @*/
3228 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3229 {
3230   PetscErrorCode ierr,(*f)(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
3231 
3232   PetscFunctionBegin;
3233   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",(void (**)(void))&f);CHKERRQ(ierr);
3234   if (f) {
3235     ierr = (*f)(B,bs,i,j,v);CHKERRQ(ierr);
3236   }
3237   PetscFunctionReturn(0);
3238 }
3239 
3240 
3241 #undef __FUNCT__
3242 #define __FUNCT__ "MatCreateSeqBAIJWithArrays"
3243 /*@
3244      MatCreateSeqBAIJWithArrays - Creates an sequential BAIJ matrix using matrix elements
3245               (upper triangular entries in CSR format) provided by the user.
3246 
3247      Collective on MPI_Comm
3248 
3249    Input Parameters:
3250 +  comm - must be an MPI communicator of size 1
3251 .  bs - size of block
3252 .  m - number of rows
3253 .  n - number of columns
3254 .  i - row indices
3255 .  j - column indices
3256 -  a - matrix values
3257 
3258    Output Parameter:
3259 .  mat - the matrix
3260 
3261    Level: intermediate
3262 
3263    Notes:
3264        The i, j, and a arrays are not copied by this routine, the user must free these arrays
3265     once the matrix is destroyed
3266 
3267        You cannot set new nonzero locations into this matrix, that will generate an error.
3268 
3269        The i and j indices are 0 based
3270 
3271 .seealso: MatCreate(), MatCreateMPIBAIJ(), MatCreateSeqBAIJ()
3272 
3273 @*/
3274 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt* i,PetscInt*j,PetscScalar *a,Mat *mat)
3275 {
3276   PetscErrorCode ierr;
3277   PetscInt       ii;
3278   Mat_SeqBAIJ    *baij;
3279 
3280   PetscFunctionBegin;
3281   if (bs != 1) SETERRQ1(PETSC_ERR_SUP,"block size %D > 1 is not supported yet",bs);
3282   if (i[0]) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3283 
3284   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3285   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
3286   ierr = MatSetType(*mat,MATSEQBAIJ);CHKERRQ(ierr);
3287   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(*mat,bs,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
3288   baij = (Mat_SeqBAIJ*)(*mat)->data;
3289   ierr = PetscMalloc2(m,PetscInt,&baij->imax,m,PetscInt,&baij->ilen);CHKERRQ(ierr);
3290 
3291   baij->i = i;
3292   baij->j = j;
3293   baij->a = a;
3294   baij->singlemalloc = PETSC_FALSE;
3295   baij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
3296   baij->free_a       = PETSC_FALSE;
3297   baij->free_ij       = PETSC_FALSE;
3298 
3299   for (ii=0; ii<m; ii++) {
3300     baij->ilen[ii] = baij->imax[ii] = i[ii+1] - i[ii];
3301 #if defined(PETSC_USE_DEBUG)
3302     if (i[ii+1] - i[ii] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Negative row length in i (row indices) row = %d length = %d",ii,i[ii+1] - i[ii]);
3303 #endif
3304   }
3305 #if defined(PETSC_USE_DEBUG)
3306   for (ii=0; ii<baij->i[m]; ii++) {
3307     if (j[ii] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
3308     if (j[ii] > n - 1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column index to large at location = %d index = %d",ii,j[ii]);
3309   }
3310 #endif
3311 
3312   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3313   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3314   PetscFunctionReturn(0);
3315 }
3316