xref: /petsc/src/mat/impls/baij/seq/baij.c (revision 46bc77b6d550debde283362c0c819c2f2ba7ff30)
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 "petscsys.h"                     /*I "petscmat.h" I*/
9 
10 #include "../src/mat/blockinvert.h"
11 
12 #undef __FUNCT__
13 #define __FUNCT__ "MatSeqBAIJInvertBlockDiagonal"
14 /*@
15   MatSeqBAIJInvertBlockDiagonal - Inverts the block diagonal entries.
16 
17   Collective on Mat
18 
19   Input Parameters:
20 . mat - the matrix
21 
22   Level: advanced
23 @*/
24 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJInvertBlockDiagonal(Mat mat)
25 {
26   PetscErrorCode ierr,(*f)(Mat);
27 
28   PetscFunctionBegin;
29   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
30   if (!mat->assembled) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for unassembled matrix");
31   if (mat->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
32 
33   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqBAIJInvertBlockDiagonal_C",(void (**)(void))&f);CHKERRQ(ierr);
34   if (f) {
35     ierr = (*f)(mat);CHKERRQ(ierr);
36   } else {
37     SETERRQ(PETSC_ERR_SUP,"Currently only implemented for SeqBAIJ.");
38   }
39   PetscFunctionReturn(0);
40 }
41 
42 EXTERN_C_BEGIN
43 #undef __FUNCT__
44 #define __FUNCT__ "MatInvertBlockDiagonal_SeqBAIJ"
45 PetscErrorCode PETSCMAT_DLLEXPORT MatInvertBlockDiagonal_SeqBAIJ(Mat A)
46 {
47   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*) A->data;
48   PetscErrorCode ierr;
49   PetscInt       *diag_offset,i,bs = A->rmap->bs,mbs = a->mbs;
50   MatScalar      *v = a->a,*odiag,*diag,*mdiag;
51   PetscReal      shift = 0.0;
52 
53   PetscFunctionBegin;
54   if (a->idiagvalid) PetscFunctionReturn(0);
55   ierr = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
56   diag_offset = a->diag;
57   if (!a->idiag) {
58     ierr = PetscMalloc(2*bs*bs*mbs*sizeof(PetscScalar),&a->idiag);CHKERRQ(ierr);
59     ierr = PetscLogObjectMemory(A,2*bs*bs*mbs*sizeof(PetscScalar));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 1:
66       for (i=0; i<mbs; i++) {
67         odiag = v + 1*diag_offset[i];
68         diag[0]  = odiag[0];
69         mdiag[0] = odiag[0];
70         diag[0]  = 1.0 / (diag[0] + shift);
71         diag    += 1;
72         mdiag   += 1;
73       }
74       break;
75     case 2:
76       for (i=0; i<mbs; i++) {
77         odiag   = v + 4*diag_offset[i];
78         diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
79 	mdiag[0] = odiag[0]; mdiag[1] = odiag[1]; mdiag[2] = odiag[2]; mdiag[3] = odiag[3];
80 	ierr     = Kernel_A_gets_inverse_A_2(diag,shift);CHKERRQ(ierr);
81 	diag    += 4;
82 	mdiag   += 4;
83       }
84       break;
85     case 3:
86       for (i=0; i<mbs; i++) {
87         odiag    = v + 9*diag_offset[i];
88         diag[0]  = odiag[0]; diag[1] = odiag[1]; diag[2] = odiag[2]; diag[3] = odiag[3];
89         diag[4]  = odiag[4]; diag[5] = odiag[5]; diag[6] = odiag[6]; diag[7] = odiag[7];
90         diag[8]  = odiag[8];
91         mdiag[0] = odiag[0]; mdiag[1] = odiag[1]; mdiag[2] = odiag[2]; mdiag[3] = odiag[3];
92         mdiag[4] = odiag[4]; mdiag[5] = odiag[5]; mdiag[6] = odiag[6]; mdiag[7] = odiag[7];
93         mdiag[8] = odiag[8];
94 	ierr     = Kernel_A_gets_inverse_A_3(diag,shift);CHKERRQ(ierr);
95 	diag    += 9;
96 	mdiag   += 9;
97       }
98       break;
99     case 4:
100       for (i=0; i<mbs; i++) {
101         odiag  = v + 16*diag_offset[i];
102         ierr   = PetscMemcpy(diag,odiag,16*sizeof(PetscScalar));CHKERRQ(ierr);
103         ierr   = PetscMemcpy(mdiag,odiag,16*sizeof(PetscScalar));CHKERRQ(ierr);
104 	ierr   = Kernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
105 	diag  += 16;
106 	mdiag += 16;
107       }
108       break;
109     case 5:
110       for (i=0; i<mbs; i++) {
111         odiag = v + 25*diag_offset[i];
112         ierr   = PetscMemcpy(diag,odiag,25*sizeof(PetscScalar));CHKERRQ(ierr);
113         ierr   = PetscMemcpy(mdiag,odiag,25*sizeof(PetscScalar));CHKERRQ(ierr);
114 	ierr   = Kernel_A_gets_inverse_A_5(diag,shift);CHKERRQ(ierr);
115 	diag  += 25;
116 	mdiag += 25;
117       }
118       break;
119     case 6:
120       for (i=0; i<mbs; i++) {
121         odiag = v + 36*diag_offset[i];
122         ierr   = PetscMemcpy(diag,odiag,36*sizeof(PetscScalar));CHKERRQ(ierr);
123         ierr   = PetscMemcpy(mdiag,odiag,36*sizeof(PetscScalar));CHKERRQ(ierr);
124 	ierr   = Kernel_A_gets_inverse_A_6(diag,shift);CHKERRQ(ierr);
125 	diag  += 36;
126 	mdiag += 36;
127       }
128       break;
129     default:
130       SETERRQ1(PETSC_ERR_SUP,"not supported for block size %D",bs);
131   }
132   a->idiagvalid = PETSC_TRUE;
133   PetscFunctionReturn(0);
134 }
135 EXTERN_C_END
136 
137 #undef __FUNCT__
138 #define __FUNCT__ "MatPBRelax_SeqBAIJ_1"
139 PetscErrorCode MatPBRelax_SeqBAIJ_1(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
140 {
141   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
142   PetscScalar        *x,x1,s1;
143   const PetscScalar  *b;
144   const MatScalar    *aa = a->a, *idiag,*mdiag,*v;
145   PetscErrorCode     ierr;
146   PetscInt           m = a->mbs,i,i2,nz,j;
147   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
148 
149   PetscFunctionBegin;
150   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
151   its = its*lits;
152   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
153   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
154   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
155   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
156   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
157 
158   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
159 
160   diag  = a->diag;
161   idiag = a->idiag;
162   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
163   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
164 
165   if (flag & SOR_ZERO_INITIAL_GUESS) {
166     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
167       x[0] = b[0]*idiag[0];
168       i2     = 1;
169       idiag += 1;
170       for (i=1; i<m; i++) {
171         v     = aa + ai[i];
172         vi    = aj + ai[i];
173         nz    = diag[i] - ai[i];
174         s1    = b[i2];
175         for (j=0; j<nz; j++) {
176           s1 -= v[j]*x[vi[j]];
177         }
178         x[i2]   = idiag[0]*s1;
179         idiag   += 1;
180         i2      += 1;
181       }
182       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
183       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
184     }
185     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
186         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
187       i2    = 0;
188       mdiag = a->idiag+a->mbs;
189       for (i=0; i<m; i++) {
190         x1      = x[i2];
191         x[i2]   = mdiag[0]*x1;
192         mdiag  += 1;
193         i2     += 1;
194       }
195       ierr = PetscLogFlops(m);CHKERRQ(ierr);
196     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
197       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
198     }
199     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
200       idiag   = a->idiag+a->mbs - 1;
201       i2      = m - 1;
202       x1      = x[i2];
203       x[i2]   = idiag[0]*x1;
204       idiag -= 1;
205       i2    -= 1;
206       for (i=m-2; i>=0; i--) {
207         v     = aa + (diag[i]+1);
208         vi    = aj + diag[i] + 1;
209         nz    = ai[i+1] - diag[i] - 1;
210         s1    = x[i2];
211         for (j=0; j<nz; j++) {
212           s1 -= v[j]*x[vi[j]];
213         }
214         x[i2]   = idiag[0]*s1;
215         idiag   -= 1;
216         i2      -= 1;
217       }
218       ierr = PetscLogFlops(a->nz);CHKERRQ(ierr);
219     }
220   } else {
221     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
222   }
223   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
224   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
225   PetscFunctionReturn(0);
226 }
227 
228 #undef __FUNCT__
229 #define __FUNCT__ "MatPBRelax_SeqBAIJ_2"
230 PetscErrorCode MatPBRelax_SeqBAIJ_2(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
231 {
232   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
233   PetscScalar        *x,x1,x2,s1,s2;
234   const PetscScalar  *b;
235   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
236   PetscErrorCode     ierr;
237   PetscInt           m = a->mbs,i,i2,nz,idx,j,it;
238   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
239 
240   PetscFunctionBegin;
241   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
242   its = its*lits;
243   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
244   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
245   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
246   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
247   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
248 
249   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
250 
251   diag  = a->diag;
252   idiag = a->idiag;
253   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
254   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
255 
256   if (flag & SOR_ZERO_INITIAL_GUESS) {
257     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
258       x[0] = b[0]*idiag[0] + b[1]*idiag[2];
259       x[1] = b[0]*idiag[1] + b[1]*idiag[3];
260       i2     = 2;
261       idiag += 4;
262       for (i=1; i<m; i++) {
263 	v     = aa + 4*ai[i];
264 	vi    = aj + ai[i];
265 	nz    = diag[i] - ai[i];
266 	s1    = b[i2]; s2 = b[i2+1];
267         for (j=0; j<nz; j++) {
268 	  idx  = 2*vi[j];
269           it   = 4*j;
270 	  x1   = x[idx]; x2 = x[1+idx];
271 	  s1  -= v[it]*x1 + v[it+2]*x2;
272 	  s2  -= v[it+1]*x1 + v[it+3]*x2;
273 	}
274 	x[i2]   = idiag[0]*s1 + idiag[2]*s2;
275 	x[i2+1] = idiag[1]*s1 + idiag[3]*s2;
276         idiag   += 4;
277         i2      += 2;
278       }
279       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
280       ierr = PetscLogFlops(4.0*(a->nz));CHKERRQ(ierr);
281     }
282     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
283         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
284       i2    = 0;
285       mdiag = a->idiag+4*a->mbs;
286       for (i=0; i<m; i++) {
287         x1      = x[i2]; x2 = x[i2+1];
288         x[i2]   = mdiag[0]*x1 + mdiag[2]*x2;
289         x[i2+1] = mdiag[1]*x1 + mdiag[3]*x2;
290         mdiag  += 4;
291         i2     += 2;
292       }
293       ierr = PetscLogFlops(6.0*m);CHKERRQ(ierr);
294     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
295       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
296     }
297     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
298       idiag   = a->idiag+4*a->mbs - 4;
299       i2      = 2*m - 2;
300       x1      = x[i2]; x2 = x[i2+1];
301       x[i2]   = idiag[0]*x1 + idiag[2]*x2;
302       x[i2+1] = idiag[1]*x1 + idiag[3]*x2;
303       idiag -= 4;
304       i2    -= 2;
305       for (i=m-2; i>=0; i--) {
306 	v     = aa + 4*(diag[i]+1);
307 	vi    = aj + diag[i] + 1;
308 	nz    = ai[i+1] - diag[i] - 1;
309 	s1    = x[i2]; s2 = x[i2+1];
310         for (j=0; j<nz; j++) {
311  	  idx  = 2*vi[j];
312           it   = 4*j;
313 	  x1   = x[idx]; x2 = x[1+idx];
314 	  s1  -= v[it]*x1 + v[it+2]*x2;
315 	  s2  -= v[it+1]*x1 + v[it+3]*x2;
316 	}
317 	x[i2]   = idiag[0]*s1 + idiag[2]*s2;
318 	x[i2+1] = idiag[1]*s1 + idiag[3]*s2;
319         idiag   -= 4;
320         i2      -= 2;
321       }
322       ierr = PetscLogFlops(4.0*(a->nz));CHKERRQ(ierr);
323     }
324   } else {
325     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
326   }
327   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
328   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
329   PetscFunctionReturn(0);
330 }
331 
332 #undef __FUNCT__
333 #define __FUNCT__ "MatPBRelax_SeqBAIJ_3"
334 PetscErrorCode MatPBRelax_SeqBAIJ_3(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
335 {
336   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
337   PetscScalar        *x,x1,x2,x3,s1,s2,s3;
338   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
339   const PetscScalar  *b;
340   PetscErrorCode     ierr;
341   PetscInt           m = a->mbs,i,i2,nz,idx;
342   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
343 
344   PetscFunctionBegin;
345   its = its*lits;
346   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
347   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
348   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
349   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
350   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
351   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
352 
353   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
354 
355   diag  = a->diag;
356   idiag = a->idiag;
357   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
358   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
359 
360   if (flag & SOR_ZERO_INITIAL_GUESS) {
361     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
362       x[0] = b[0]*idiag[0] + b[1]*idiag[3] + b[2]*idiag[6];
363       x[1] = b[0]*idiag[1] + b[1]*idiag[4] + b[2]*idiag[7];
364       x[2] = b[0]*idiag[2] + b[1]*idiag[5] + b[2]*idiag[8];
365       i2     = 3;
366       idiag += 9;
367       for (i=1; i<m; i++) {
368         v     = aa + 9*ai[i];
369         vi    = aj + ai[i];
370         nz    = diag[i] - ai[i];
371         s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2];
372         while (nz--) {
373           idx  = 3*(*vi++);
374           x1   = x[idx]; x2 = x[1+idx];x3 = x[2+idx];
375           s1  -= v[0]*x1 + v[3]*x2 + v[6]*x3;
376           s2  -= v[1]*x1 + v[4]*x2 + v[7]*x3;
377           s3  -= v[2]*x1 + v[5]*x2 + v[8]*x3;
378           v   += 9;
379         }
380         x[i2]   = idiag[0]*s1 + idiag[3]*s2 + idiag[6]*s3;
381         x[i2+1] = idiag[1]*s1 + idiag[4]*s2 + idiag[7]*s3;
382         x[i2+2] = idiag[2]*s1 + idiag[5]*s2 + idiag[8]*s3;
383         idiag   += 9;
384         i2      += 3;
385       }
386       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
387       ierr = PetscLogFlops(9.0*(a->nz));CHKERRQ(ierr);
388     }
389     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
390         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
391       i2    = 0;
392       mdiag = a->idiag+9*a->mbs;
393       for (i=0; i<m; i++) {
394         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2];
395         x[i2]   = mdiag[0]*x1 + mdiag[3]*x2 + mdiag[6]*x3;
396         x[i2+1] = mdiag[1]*x1 + mdiag[4]*x2 + mdiag[7]*x3;
397         x[i2+2] = mdiag[2]*x1 + mdiag[5]*x2 + mdiag[8]*x3;
398         mdiag  += 9;
399         i2     += 3;
400       }
401       ierr = PetscLogFlops(15.0*m);CHKERRQ(ierr);
402     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
403       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
404     }
405     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
406       idiag   = a->idiag+9*a->mbs - 9;
407       i2      = 3*m - 3;
408       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2];
409       x[i2]   = idiag[0]*x1 + idiag[3]*x2 + idiag[6]*x3;
410       x[i2+1] = idiag[1]*x1 + idiag[4]*x2 + idiag[7]*x3;
411       x[i2+2] = idiag[2]*x1 + idiag[5]*x2 + idiag[8]*x3;
412       idiag -= 9;
413       i2    -= 3;
414       for (i=m-2; i>=0; i--) {
415         v     = aa + 9*(diag[i]+1);
416         vi    = aj + diag[i] + 1;
417         nz    = ai[i+1] - diag[i] - 1;
418         s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2];
419         while (nz--) {
420           idx  = 3*(*vi++);
421           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx];
422           s1  -= v[0]*x1 + v[3]*x2 + v[6]*x3;
423           s2  -= v[1]*x1 + v[4]*x2 + v[7]*x3;
424           s3  -= v[2]*x1 + v[5]*x2 + v[8]*x3;
425           v   += 9;
426         }
427         x[i2]   = idiag[0]*s1 + idiag[3]*s2 + idiag[6]*s3;
428         x[i2+1] = idiag[1]*s1 + idiag[4]*s2 + idiag[7]*s3;
429         x[i2+2] = idiag[2]*s1 + idiag[5]*s2 + idiag[8]*s3;
430         idiag   -= 9;
431         i2      -= 3;
432       }
433       ierr = PetscLogFlops(9.0*(a->nz));CHKERRQ(ierr);
434     }
435   } else {
436     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
437   }
438   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
439   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
440   PetscFunctionReturn(0);
441 }
442 
443 #undef __FUNCT__
444 #define __FUNCT__ "MatPBRelax_SeqBAIJ_4"
445 PetscErrorCode MatPBRelax_SeqBAIJ_4(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
446 {
447   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
448   PetscScalar        *x,x1,x2,x3,x4,s1,s2,s3,s4;
449   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
450   const PetscScalar  *b;
451   PetscErrorCode     ierr;
452   PetscInt           m = a->mbs,i,i2,nz,idx;
453   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
454 
455   PetscFunctionBegin;
456   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
457   its = its*lits;
458   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
459   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
460   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
461   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
462   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
463 
464   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
465 
466   diag  = a->diag;
467   idiag = a->idiag;
468   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
469   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
470 
471   if (flag & SOR_ZERO_INITIAL_GUESS) {
472     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
473       x[0] = b[0]*idiag[0] + b[1]*idiag[4] + b[2]*idiag[8]  + b[3]*idiag[12];
474       x[1] = b[0]*idiag[1] + b[1]*idiag[5] + b[2]*idiag[9]  + b[3]*idiag[13];
475       x[2] = b[0]*idiag[2] + b[1]*idiag[6] + b[2]*idiag[10] + b[3]*idiag[14];
476       x[3] = b[0]*idiag[3] + b[1]*idiag[7] + b[2]*idiag[11] + b[3]*idiag[15];
477       i2     = 4;
478       idiag += 16;
479       for (i=1; i<m; i++) {
480 	v     = aa + 16*ai[i];
481 	vi    = aj + ai[i];
482 	nz    = diag[i] - ai[i];
483 	s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3];
484 	while (nz--) {
485 	  idx  = 4*(*vi++);
486 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx];
487 	  s1  -= v[0]*x1 + v[4]*x2 + v[8]*x3  + v[12]*x4;
488 	  s2  -= v[1]*x1 + v[5]*x2 + v[9]*x3  + v[13]*x4;
489 	  s3  -= v[2]*x1 + v[6]*x2 + v[10]*x3 + v[14]*x4;
490 	  s4  -= v[3]*x1 + v[7]*x2 + v[11]*x3 + v[15]*x4;
491 	  v   += 16;
492 	}
493 	x[i2]   = idiag[0]*s1 + idiag[4]*s2 + idiag[8]*s3  + idiag[12]*s4;
494 	x[i2+1] = idiag[1]*s1 + idiag[5]*s2 + idiag[9]*s3  + idiag[13]*s4;
495 	x[i2+2] = idiag[2]*s1 + idiag[6]*s2 + idiag[10]*s3 + idiag[14]*s4;
496 	x[i2+3] = idiag[3]*s1 + idiag[7]*s2 + idiag[11]*s3 + idiag[15]*s4;
497         idiag   += 16;
498         i2      += 4;
499       }
500       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
501       ierr = PetscLogFlops(16.0*(a->nz));CHKERRQ(ierr);
502     }
503     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
504         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
505       i2    = 0;
506       mdiag = a->idiag+16*a->mbs;
507       for (i=0; i<m; i++) {
508         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3];
509         x[i2]   = mdiag[0]*x1 + mdiag[4]*x2 + mdiag[8]*x3  + mdiag[12]*x4;
510         x[i2+1] = mdiag[1]*x1 + mdiag[5]*x2 + mdiag[9]*x3  + mdiag[13]*x4;
511         x[i2+2] = mdiag[2]*x1 + mdiag[6]*x2 + mdiag[10]*x3 + mdiag[14]*x4;
512         x[i2+3] = mdiag[3]*x1 + mdiag[7]*x2 + mdiag[11]*x3 + mdiag[15]*x4;
513         mdiag  += 16;
514         i2     += 4;
515       }
516       ierr = PetscLogFlops(28.0*m);CHKERRQ(ierr);
517     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
518       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
519     }
520     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
521       idiag   = a->idiag+16*a->mbs - 16;
522       i2      = 4*m - 4;
523       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3];
524       x[i2]   = idiag[0]*x1 + idiag[4]*x2 + idiag[8]*x3  + idiag[12]*x4;
525       x[i2+1] = idiag[1]*x1 + idiag[5]*x2 + idiag[9]*x3  + idiag[13]*x4;
526       x[i2+2] = idiag[2]*x1 + idiag[6]*x2 + idiag[10]*x3 + idiag[14]*x4;
527       x[i2+3] = idiag[3]*x1 + idiag[7]*x2 + idiag[11]*x3 + idiag[15]*x4;
528       idiag -= 16;
529       i2    -= 4;
530       for (i=m-2; i>=0; i--) {
531 	v     = aa + 16*(diag[i]+1);
532 	vi    = aj + diag[i] + 1;
533 	nz    = ai[i+1] - diag[i] - 1;
534 	s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3];
535 	while (nz--) {
536 	  idx  = 4*(*vi++);
537 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx];
538 	  s1  -= v[0]*x1 + v[4]*x2 + v[8]*x3  + v[12]*x4;
539 	  s2  -= v[1]*x1 + v[5]*x2 + v[9]*x3  + v[13]*x4;
540 	  s3  -= v[2]*x1 + v[6]*x2 + v[10]*x3 + v[14]*x4;
541 	  s4  -= v[3]*x1 + v[7]*x2 + v[11]*x3 + v[15]*x4;
542 	  v   += 16;
543 	}
544 	x[i2]   = idiag[0]*s1 + idiag[4]*s2 + idiag[8]*s3  + idiag[12]*s4;
545 	x[i2+1] = idiag[1]*s1 + idiag[5]*s2 + idiag[9]*s3  + idiag[13]*s4;
546 	x[i2+2] = idiag[2]*s1 + idiag[6]*s2 + idiag[10]*s3 + idiag[14]*s4;
547 	x[i2+3] = idiag[3]*s1 + idiag[7]*s2 + idiag[11]*s3 + idiag[15]*s4;
548         idiag   -= 16;
549         i2      -= 4;
550       }
551       ierr = PetscLogFlops(16.0*(a->nz));CHKERRQ(ierr);
552     }
553   } else {
554     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
555   }
556   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
557   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
558   PetscFunctionReturn(0);
559 }
560 
561 #undef __FUNCT__
562 #define __FUNCT__ "MatPBRelax_SeqBAIJ_5"
563 PetscErrorCode MatPBRelax_SeqBAIJ_5(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
564 {
565   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
566   PetscScalar        *x,x1,x2,x3,x4,x5,s1,s2,s3,s4,s5;
567   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
568   const PetscScalar  *b;
569   PetscErrorCode     ierr;
570   PetscInt           m = a->mbs,i,i2,nz,idx;
571   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
572 
573   PetscFunctionBegin;
574   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
575   its = its*lits;
576   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
577   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
578   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
579   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
580   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
581 
582   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
583 
584   diag  = a->diag;
585   idiag = a->idiag;
586   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
587   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
588 
589   if (flag & SOR_ZERO_INITIAL_GUESS) {
590     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
591       x[0] = b[0]*idiag[0] + b[1]*idiag[5] + b[2]*idiag[10] + b[3]*idiag[15] + b[4]*idiag[20];
592       x[1] = b[0]*idiag[1] + b[1]*idiag[6] + b[2]*idiag[11] + b[3]*idiag[16] + b[4]*idiag[21];
593       x[2] = b[0]*idiag[2] + b[1]*idiag[7] + b[2]*idiag[12] + b[3]*idiag[17] + b[4]*idiag[22];
594       x[3] = b[0]*idiag[3] + b[1]*idiag[8] + b[2]*idiag[13] + b[3]*idiag[18] + b[4]*idiag[23];
595       x[4] = b[0]*idiag[4] + b[1]*idiag[9] + b[2]*idiag[14] + b[3]*idiag[19] + b[4]*idiag[24];
596       i2     = 5;
597       idiag += 25;
598       for (i=1; i<m; i++) {
599 	v     = aa + 25*ai[i];
600 	vi    = aj + ai[i];
601 	nz    = diag[i] - ai[i];
602 	s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3]; s5 = b[i2+4];
603 	while (nz--) {
604 	  idx  = 5*(*vi++);
605 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx];
606 	  s1  -= v[0]*x1 + v[5]*x2 + v[10]*x3 + v[15]*x4 + v[20]*x5;
607 	  s2  -= v[1]*x1 + v[6]*x2 + v[11]*x3 + v[16]*x4 + v[21]*x5;
608 	  s3  -= v[2]*x1 + v[7]*x2 + v[12]*x3 + v[17]*x4 + v[22]*x5;
609 	  s4  -= v[3]*x1 + v[8]*x2 + v[13]*x3 + v[18]*x4 + v[23]*x5;
610 	  s5  -= v[4]*x1 + v[9]*x2 + v[14]*x3 + v[19]*x4 + v[24]*x5;
611 	  v   += 25;
612 	}
613 	x[i2]   = idiag[0]*s1 + idiag[5]*s2 + idiag[10]*s3 + idiag[15]*s4 + idiag[20]*s5;
614 	x[i2+1] = idiag[1]*s1 + idiag[6]*s2 + idiag[11]*s3 + idiag[16]*s4 + idiag[21]*s5;
615 	x[i2+2] = idiag[2]*s1 + idiag[7]*s2 + idiag[12]*s3 + idiag[17]*s4 + idiag[22]*s5;
616 	x[i2+3] = idiag[3]*s1 + idiag[8]*s2 + idiag[13]*s3 + idiag[18]*s4 + idiag[23]*s5;
617 	x[i2+4] = idiag[4]*s1 + idiag[9]*s2 + idiag[14]*s3 + idiag[19]*s4 + idiag[24]*s5;
618         idiag   += 25;
619         i2      += 5;
620       }
621       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
622       ierr = PetscLogFlops(25.0*(a->nz));CHKERRQ(ierr);
623     }
624     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
625         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
626       i2    = 0;
627       mdiag = a->idiag+25*a->mbs;
628       for (i=0; i<m; i++) {
629         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4];
630         x[i2]   = mdiag[0]*x1 + mdiag[5]*x2 + mdiag[10]*x3 + mdiag[15]*x4 + mdiag[20]*x5;
631         x[i2+1] = mdiag[1]*x1 + mdiag[6]*x2 + mdiag[11]*x3 + mdiag[16]*x4 + mdiag[21]*x5;
632         x[i2+2] = mdiag[2]*x1 + mdiag[7]*x2 + mdiag[12]*x3 + mdiag[17]*x4 + mdiag[22]*x5;
633         x[i2+3] = mdiag[3]*x1 + mdiag[8]*x2 + mdiag[13]*x3 + mdiag[18]*x4 + mdiag[23]*x5;
634         x[i2+4] = mdiag[4]*x1 + mdiag[9]*x2 + mdiag[14]*x3 + mdiag[19]*x4 + mdiag[24]*x5;
635         mdiag  += 25;
636         i2     += 5;
637       }
638       ierr = PetscLogFlops(45.0*m);CHKERRQ(ierr);
639     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
640       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
641     }
642     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
643       idiag   = a->idiag+25*a->mbs - 25;
644       i2      = 5*m - 5;
645       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4];
646       x[i2]   = idiag[0]*x1 + idiag[5]*x2 + idiag[10]*x3 + idiag[15]*x4 + idiag[20]*x5;
647       x[i2+1] = idiag[1]*x1 + idiag[6]*x2 + idiag[11]*x3 + idiag[16]*x4 + idiag[21]*x5;
648       x[i2+2] = idiag[2]*x1 + idiag[7]*x2 + idiag[12]*x3 + idiag[17]*x4 + idiag[22]*x5;
649       x[i2+3] = idiag[3]*x1 + idiag[8]*x2 + idiag[13]*x3 + idiag[18]*x4 + idiag[23]*x5;
650       x[i2+4] = idiag[4]*x1 + idiag[9]*x2 + idiag[14]*x3 + idiag[19]*x4 + idiag[24]*x5;
651       idiag -= 25;
652       i2    -= 5;
653       for (i=m-2; i>=0; i--) {
654 	v     = aa + 25*(diag[i]+1);
655 	vi    = aj + diag[i] + 1;
656 	nz    = ai[i+1] - diag[i] - 1;
657 	s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3]; s5 = x[i2+4];
658 	while (nz--) {
659 	  idx  = 5*(*vi++);
660 	  x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx];
661 	  s1  -= v[0]*x1 + v[5]*x2 + v[10]*x3 + v[15]*x4 + v[20]*x5;
662 	  s2  -= v[1]*x1 + v[6]*x2 + v[11]*x3 + v[16]*x4 + v[21]*x5;
663 	  s3  -= v[2]*x1 + v[7]*x2 + v[12]*x3 + v[17]*x4 + v[22]*x5;
664 	  s4  -= v[3]*x1 + v[8]*x2 + v[13]*x3 + v[18]*x4 + v[23]*x5;
665 	  s5  -= v[4]*x1 + v[9]*x2 + v[14]*x3 + v[19]*x4 + v[24]*x5;
666 	  v   += 25;
667 	}
668 	x[i2]   = idiag[0]*s1 + idiag[5]*s2 + idiag[10]*s3 + idiag[15]*s4 + idiag[20]*s5;
669 	x[i2+1] = idiag[1]*s1 + idiag[6]*s2 + idiag[11]*s3 + idiag[16]*s4 + idiag[21]*s5;
670 	x[i2+2] = idiag[2]*s1 + idiag[7]*s2 + idiag[12]*s3 + idiag[17]*s4 + idiag[22]*s5;
671 	x[i2+3] = idiag[3]*s1 + idiag[8]*s2 + idiag[13]*s3 + idiag[18]*s4 + idiag[23]*s5;
672 	x[i2+4] = idiag[4]*s1 + idiag[9]*s2 + idiag[14]*s3 + idiag[19]*s4 + idiag[24]*s5;
673         idiag   -= 25;
674         i2      -= 5;
675       }
676       ierr = PetscLogFlops(25.0*(a->nz));CHKERRQ(ierr);
677     }
678   } else {
679     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
680   }
681   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
682   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
683   PetscFunctionReturn(0);
684 }
685 
686 #undef __FUNCT__
687 #define __FUNCT__ "MatPBRelax_SeqBAIJ_6"
688 PetscErrorCode MatPBRelax_SeqBAIJ_6(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
689 {
690   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
691   PetscScalar        *x,x1,x2,x3,x4,x5,x6,s1,s2,s3,s4,s5,s6;
692   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
693   const PetscScalar  *b;
694   PetscErrorCode     ierr;
695   PetscInt           m = a->mbs,i,i2,nz,idx;
696   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
697 
698   PetscFunctionBegin;
699   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
700   its = its*lits;
701   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
702   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
703   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
704   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
705   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
706 
707   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
708 
709   diag  = a->diag;
710   idiag = a->idiag;
711   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
712   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
713 
714   if (flag & SOR_ZERO_INITIAL_GUESS) {
715     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
716       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];
717       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];
718       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];
719       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];
720       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];
721       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];
722       i2     = 6;
723       idiag += 36;
724       for (i=1; i<m; i++) {
725         v     = aa + 36*ai[i];
726         vi    = aj + ai[i];
727         nz    = diag[i] - ai[i];
728         s1    = b[i2]; s2 = b[i2+1]; s3 = b[i2+2]; s4 = b[i2+3]; s5 = b[i2+4]; s6 = b[i2+5];
729         while (nz--) {
730           idx  = 6*(*vi++);
731           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx];
732           s1  -= v[0]*x1 + v[6]*x2  + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
733           s2  -= v[1]*x1 + v[7]*x2  + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
734           s3  -= v[2]*x1 + v[8]*x2  + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
735           s4  -= v[3]*x1 + v[9]*x2  + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
736           s5  -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
737           s6  -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
738           v   += 36;
739         }
740         x[i2]   = idiag[0]*s1 + idiag[6]*s2  + idiag[12]*s3 + idiag[18]*s4 + idiag[24]*s5 + idiag[30]*s6;
741         x[i2+1] = idiag[1]*s1 + idiag[7]*s2  + idiag[13]*s3 + idiag[19]*s4 + idiag[25]*s5 + idiag[31]*s6;
742         x[i2+2] = idiag[2]*s1 + idiag[8]*s2  + idiag[14]*s3 + idiag[20]*s4 + idiag[26]*s5 + idiag[32]*s6;
743         x[i2+3] = idiag[3]*s1 + idiag[9]*s2  + idiag[15]*s3 + idiag[21]*s4 + idiag[27]*s5 + idiag[33]*s6;
744         x[i2+4] = idiag[4]*s1 + idiag[10]*s2 + idiag[16]*s3 + idiag[22]*s4 + idiag[28]*s5 + idiag[34]*s6;
745         x[i2+5] = idiag[5]*s1 + idiag[11]*s2 + idiag[17]*s3 + idiag[23]*s4 + idiag[29]*s5 + idiag[35]*s6;
746         idiag   += 36;
747         i2      += 6;
748       }
749       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
750       ierr = PetscLogFlops(36.0*(a->nz));CHKERRQ(ierr);
751     }
752     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
753         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
754       i2    = 0;
755       mdiag = a->idiag+36*a->mbs;
756       for (i=0; i<m; i++) {
757         x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5];
758         x[i2]   = mdiag[0]*x1 + mdiag[6]*x2  + mdiag[12]*x3 + mdiag[18]*x4 + mdiag[24]*x5 + mdiag[30]*x6;
759         x[i2+1] = mdiag[1]*x1 + mdiag[7]*x2  + mdiag[13]*x3 + mdiag[19]*x4 + mdiag[25]*x5 + mdiag[31]*x6;
760         x[i2+2] = mdiag[2]*x1 + mdiag[8]*x2  + mdiag[14]*x3 + mdiag[20]*x4 + mdiag[26]*x5 + mdiag[32]*x6;
761         x[i2+3] = mdiag[3]*x1 + mdiag[9]*x2  + mdiag[15]*x3 + mdiag[21]*x4 + mdiag[27]*x5 + mdiag[33]*x6;
762         x[i2+4] = mdiag[4]*x1 + mdiag[10]*x2 + mdiag[16]*x3 + mdiag[22]*x4 + mdiag[28]*x5 + mdiag[34]*x6;
763         x[i2+5] = mdiag[5]*x1 + mdiag[11]*x2 + mdiag[17]*x3 + mdiag[23]*x4 + mdiag[29]*x5 + mdiag[35]*x6;
764         mdiag  += 36;
765         i2     += 6;
766       }
767       ierr = PetscLogFlops(60.0*m);CHKERRQ(ierr);
768     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
769       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
770     }
771     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
772       idiag   = a->idiag+36*a->mbs - 36;
773       i2      = 6*m - 6;
774       x1      = x[i2]; x2 = x[i2+1]; x3 = x[i2+2]; x4 = x[i2+3]; x5 = x[i2+4]; x6 = x[i2+5];
775       x[i2]   = idiag[0]*x1 + idiag[6]*x2  + idiag[12]*x3 + idiag[18]*x4 + idiag[24]*x5 + idiag[30]*x6;
776       x[i2+1] = idiag[1]*x1 + idiag[7]*x2  + idiag[13]*x3 + idiag[19]*x4 + idiag[25]*x5 + idiag[31]*x6;
777       x[i2+2] = idiag[2]*x1 + idiag[8]*x2  + idiag[14]*x3 + idiag[20]*x4 + idiag[26]*x5 + idiag[32]*x6;
778       x[i2+3] = idiag[3]*x1 + idiag[9]*x2  + idiag[15]*x3 + idiag[21]*x4 + idiag[27]*x5 + idiag[33]*x6;
779       x[i2+4] = idiag[4]*x1 + idiag[10]*x2 + idiag[16]*x3 + idiag[22]*x4 + idiag[28]*x5 + idiag[34]*x6;
780       x[i2+5] = idiag[5]*x1 + idiag[11]*x2 + idiag[17]*x3 + idiag[23]*x4 + idiag[29]*x5 + idiag[35]*x6;
781       idiag -= 36;
782       i2    -= 6;
783       for (i=m-2; i>=0; i--) {
784         v     = aa + 36*(diag[i]+1);
785         vi    = aj + diag[i] + 1;
786         nz    = ai[i+1] - diag[i] - 1;
787         s1    = x[i2]; s2 = x[i2+1]; s3 = x[i2+2]; s4 = x[i2+3]; s5 = x[i2+4]; s6 = x[i2+5];
788         while (nz--) {
789           idx  = 6*(*vi++);
790           x1   = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx];
791           s1  -= v[0]*x1 + v[6]*x2  + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
792           s2  -= v[1]*x1 + v[7]*x2  + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
793           s3  -= v[2]*x1 + v[8]*x2  + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
794           s4  -= v[3]*x1 + v[9]*x2  + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
795           s5  -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
796           s6  -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
797           v   += 36;
798         }
799         x[i2]   = idiag[0]*s1 + idiag[6]*s2  + idiag[12]*s3 + idiag[18]*s4 + idiag[24]*s5 + idiag[30]*s6;
800         x[i2+1] = idiag[1]*s1 + idiag[7]*s2  + idiag[13]*s3 + idiag[19]*s4 + idiag[25]*s5 + idiag[31]*s6;
801         x[i2+2] = idiag[2]*s1 + idiag[8]*s2  + idiag[14]*s3 + idiag[20]*s4 + idiag[26]*s5 + idiag[32]*s6;
802         x[i2+3] = idiag[3]*s1 + idiag[9]*s2  + idiag[15]*s3 + idiag[21]*s4 + idiag[27]*s5 + idiag[33]*s6;
803         x[i2+4] = idiag[4]*s1 + idiag[10]*s2 + idiag[16]*s3 + idiag[22]*s4 + idiag[28]*s5 + idiag[34]*s6;
804         x[i2+5] = idiag[5]*s1 + idiag[11]*s2 + idiag[17]*s3 + idiag[23]*s4 + idiag[29]*s5 + idiag[35]*s6;
805         idiag   -= 36;
806         i2      -= 6;
807       }
808       ierr = PetscLogFlops(36.0*(a->nz));CHKERRQ(ierr);
809     }
810   } else {
811     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
812   }
813   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
814   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
815   PetscFunctionReturn(0);
816 }
817 
818 #undef __FUNCT__
819 #define __FUNCT__ "MatPBRelax_SeqBAIJ_7"
820 PetscErrorCode MatPBRelax_SeqBAIJ_7(Mat A,Vec bb,PetscReal omega,MatSORType flag,PetscReal fshift,PetscInt its,PetscInt lits,Vec xx)
821 {
822   Mat_SeqBAIJ        *a = (Mat_SeqBAIJ*)A->data;
823   PetscScalar        *x,x1,x2,x3,x4,x5,x6,x7,s1,s2,s3,s4,s5,s6,s7;
824   const MatScalar    *v,*aa = a->a, *idiag,*mdiag;
825   const PetscScalar  *b;
826   PetscErrorCode     ierr;
827   PetscInt           m = a->mbs,i,i2,nz,idx;
828   const PetscInt     *diag,*ai = a->i,*aj = a->j,*vi;
829 
830   PetscFunctionBegin;
831   if (flag & SOR_EISENSTAT) SETERRQ(PETSC_ERR_SUP,"No support yet for Eisenstat");
832   its = its*lits;
833   if (its <= 0) SETERRQ2(PETSC_ERR_ARG_WRONG,"Relaxation requires global its %D and local its %D both positive",its,lits);
834   if (fshift) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for diagonal shift");
835   if (omega != 1.0) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for non-trivial relaxation factor");
836   if ((flag & SOR_APPLY_UPPER) || (flag & SOR_APPLY_LOWER)) SETERRQ(PETSC_ERR_SUP,"Sorry, no support for applying upper or lower triangular parts");
837   if (its > 1) SETERRQ(PETSC_ERR_SUP,"Sorry, no support yet for multiple point block SOR iterations");
838 
839   if (!a->idiagvalid){ierr = MatInvertBlockDiagonal_SeqBAIJ(A);CHKERRQ(ierr);}
840 
841   diag  = a->diag;
842   idiag = a->idiag;
843   ierr = VecGetArray(xx,&x);CHKERRQ(ierr);
844   ierr = VecGetArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
845 
846   if (flag & SOR_ZERO_INITIAL_GUESS) {
847     if (flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP){
848       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];
849       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];
850       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];
851       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];
852       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];
853       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];
854       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];
855       i2     = 7;
856       idiag += 49;
857       for (i=1; i<m; i++) {
858         v     = aa + 49*ai[i];
859         vi    = aj + ai[i];
860         nz    = diag[i] - ai[i];
861         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];
862         while (nz--) {
863           idx  = 7*(*vi++);
864           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];
865           s1  -= v[0]*x1 + v[7]*x2  + v[14]*x3 + v[21]*x4 + v[28]*x5 + v[35]*x6 + v[42]*x7;
866           s2  -= v[1]*x1 + v[8]*x2  + v[15]*x3 + v[22]*x4 + v[29]*x5 + v[36]*x6 + v[43]*x7;
867           s3  -= v[2]*x1 + v[9]*x2  + v[16]*x3 + v[23]*x4 + v[30]*x5 + v[37]*x6 + v[44]*x7;
868           s4  -= v[3]*x1 + v[10]*x2 + v[17]*x3 + v[24]*x4 + v[31]*x5 + v[38]*x6 + v[45]*x7;
869           s5  -= v[4]*x1 + v[11]*x2 + v[18]*x3 + v[25]*x4 + v[32]*x5 + v[39]*x6 + v[46]*x7;
870           s6  -= v[5]*x1 + v[12]*x2 + v[19]*x3 + v[26]*x4 + v[33]*x5 + v[40]*x6 + v[47]*x7;
871           s7  -= v[6]*x1 + v[13]*x2 + v[20]*x3 + v[27]*x4 + v[34]*x5 + v[41]*x6 + v[48]*x7;
872           v   += 49;
873         }
874         x[i2]   = idiag[0]*s1 + idiag[7]*s2  + idiag[14]*s3 + idiag[21]*s4 + idiag[28]*s5 + idiag[35]*s6 + idiag[42]*s7;
875         x[i2+1] = idiag[1]*s1 + idiag[8]*s2  + idiag[15]*s3 + idiag[22]*s4 + idiag[29]*s5 + idiag[36]*s6 + idiag[43]*s7;
876         x[i2+2] = idiag[2]*s1 + idiag[9]*s2  + idiag[16]*s3 + idiag[23]*s4 + idiag[30]*s5 + idiag[37]*s6 + idiag[44]*s7;
877         x[i2+3] = idiag[3]*s1 + idiag[10]*s2 + idiag[17]*s3 + idiag[24]*s4 + idiag[31]*s5 + idiag[38]*s6 + idiag[45]*s7;
878         x[i2+4] = idiag[4]*s1 + idiag[11]*s2 + idiag[18]*s3 + idiag[25]*s4 + idiag[32]*s5 + idiag[39]*s6 + idiag[46]*s7;
879         x[i2+5] = idiag[5]*s1 + idiag[12]*s2 + idiag[19]*s3 + idiag[26]*s4 + idiag[33]*s5 + idiag[40]*s6 + idiag[47]*s7;
880         x[i2+6] = idiag[6]*s1 + idiag[13]*s2 + idiag[20]*s3 + idiag[27]*s4 + idiag[34]*s5 + idiag[41]*s6 + idiag[48]*s7;
881         idiag   += 49;
882         i2      += 7;
883       }
884       /* for logging purposes assume number of nonzero in lower half is 1/2 of total */
885       ierr = PetscLogFlops(49.0*(a->nz));CHKERRQ(ierr);
886     }
887     if ((flag & SOR_FORWARD_SWEEP || flag & SOR_LOCAL_FORWARD_SWEEP) &&
888         (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP)) {
889       i2    = 0;
890       mdiag = a->idiag+49*a->mbs;
891       for (i=0; i<m; i++) {
892         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];
893         x[i2]   = mdiag[0]*x1 + mdiag[7]*x2  + mdiag[14]*x3 + mdiag[21]*x4 + mdiag[28]*x5 + mdiag[35]*x6 + mdiag[35]*x7;
894         x[i2+1] = mdiag[1]*x1 + mdiag[8]*x2  + mdiag[15]*x3 + mdiag[22]*x4 + mdiag[29]*x5 + mdiag[36]*x6 + mdiag[36]*x7;
895         x[i2+2] = mdiag[2]*x1 + mdiag[9]*x2  + mdiag[16]*x3 + mdiag[23]*x4 + mdiag[30]*x5 + mdiag[37]*x6 + mdiag[37]*x7;
896         x[i2+3] = mdiag[3]*x1 + mdiag[10]*x2 + mdiag[17]*x3 + mdiag[24]*x4 + mdiag[31]*x5 + mdiag[38]*x6 + mdiag[38]*x7;
897         x[i2+4] = mdiag[4]*x1 + mdiag[11]*x2 + mdiag[18]*x3 + mdiag[25]*x4 + mdiag[32]*x5 + mdiag[39]*x6 + mdiag[39]*x7;
898         x[i2+5] = mdiag[5]*x1 + mdiag[12]*x2 + mdiag[19]*x3 + mdiag[26]*x4 + mdiag[33]*x5 + mdiag[40]*x6 + mdiag[40]*x7;
899         x[i2+6] = mdiag[6]*x1 + mdiag[13]*x2 + mdiag[20]*x3 + mdiag[27]*x4 + mdiag[34]*x5 + mdiag[41]*x6 + mdiag[41]*x7;
900         mdiag  += 36;
901         i2     += 6;
902       }
903       ierr = PetscLogFlops(93.0*m);CHKERRQ(ierr);
904     } else if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP) {
905       ierr = PetscMemcpy(x,b,A->rmap->N*sizeof(PetscScalar));CHKERRQ(ierr);
906     }
907     if (flag & SOR_BACKWARD_SWEEP || flag & SOR_LOCAL_BACKWARD_SWEEP){
908       idiag   = a->idiag+49*a->mbs - 49;
909       i2      = 7*m - 7;
910       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];
911       x[i2]   = idiag[0]*x1 + idiag[7]*x2  + idiag[14]*x3 + idiag[21]*x4 + idiag[28]*x5 + idiag[35]*x6 + idiag[42]*x7;
912       x[i2+1] = idiag[1]*x1 + idiag[8]*x2  + idiag[15]*x3 + idiag[22]*x4 + idiag[29]*x5 + idiag[36]*x6 + idiag[43]*x7;
913       x[i2+2] = idiag[2]*x1 + idiag[9]*x2  + idiag[16]*x3 + idiag[23]*x4 + idiag[30]*x5 + idiag[37]*x6 + idiag[44]*x7;
914       x[i2+3] = idiag[3]*x1 + idiag[10]*x2 + idiag[17]*x3 + idiag[24]*x4 + idiag[31]*x5 + idiag[38]*x6 + idiag[45]*x7;
915       x[i2+4] = idiag[4]*x1 + idiag[11]*x2 + idiag[18]*x3 + idiag[25]*x4 + idiag[32]*x5 + idiag[39]*x6 + idiag[46]*x7;
916       x[i2+5] = idiag[5]*x1 + idiag[12]*x2 + idiag[19]*x3 + idiag[26]*x4 + idiag[33]*x5 + idiag[40]*x6 + idiag[47]*x7;
917       x[i2+6] = idiag[6]*x1 + idiag[13]*x2 + idiag[20]*x3 + idiag[27]*x4 + idiag[34]*x5 + idiag[41]*x6 + idiag[48]*x7;
918       idiag -= 49;
919       i2    -= 7;
920       for (i=m-2; i>=0; i--) {
921         v     = aa + 49*(diag[i]+1);
922         vi    = aj + diag[i] + 1;
923         nz    = ai[i+1] - diag[i] - 1;
924         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];
925         while (nz--) {
926           idx  = 7*(*vi++);
927           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];
928           s1  -= v[0]*x1 + v[7]*x2  + v[14]*x3 + v[21]*x4 + v[28]*x5 + v[35]*x6 + v[42]*x7;
929           s2  -= v[1]*x1 + v[8]*x2  + v[15]*x3 + v[22]*x4 + v[29]*x5 + v[36]*x6 + v[43]*x7;
930           s3  -= v[2]*x1 + v[9]*x2  + v[16]*x3 + v[23]*x4 + v[30]*x5 + v[37]*x6 + v[44]*x7;
931           s4  -= v[3]*x1 + v[10]*x2 + v[17]*x3 + v[24]*x4 + v[31]*x5 + v[38]*x6 + v[45]*x7;
932           s5  -= v[4]*x1 + v[11]*x2 + v[18]*x3 + v[25]*x4 + v[32]*x5 + v[39]*x6 + v[46]*x7;
933           s6  -= v[5]*x1 + v[12]*x2 + v[19]*x3 + v[26]*x4 + v[33]*x5 + v[40]*x6 + v[47]*x7;
934           s7  -= v[6]*x1 + v[13]*x2 + v[20]*x3 + v[27]*x4 + v[34]*x5 + v[41]*x6 + v[48]*x7;
935           v   += 49;
936         }
937         x[i2]   = idiag[0]*s1 + idiag[7]*s2  + idiag[14]*s3 + idiag[21]*s4 + idiag[28]*s5 + idiag[35]*s6 + idiag[42]*s7;
938         x[i2+1] = idiag[1]*s1 + idiag[8]*s2  + idiag[15]*s3 + idiag[22]*s4 + idiag[29]*s5 + idiag[36]*s6 + idiag[43]*s7;
939         x[i2+2] = idiag[2]*s1 + idiag[9]*s2  + idiag[16]*s3 + idiag[23]*s4 + idiag[30]*s5 + idiag[37]*s6 + idiag[44]*s7;
940         x[i2+3] = idiag[3]*s1 + idiag[10]*s2 + idiag[17]*s3 + idiag[24]*s4 + idiag[31]*s5 + idiag[38]*s6 + idiag[45]*s7;
941         x[i2+4] = idiag[4]*s1 + idiag[11]*s2 + idiag[18]*s3 + idiag[25]*s4 + idiag[32]*s5 + idiag[39]*s6 + idiag[46]*s7;
942         x[i2+5] = idiag[5]*s1 + idiag[12]*s2 + idiag[19]*s3 + idiag[26]*s4 + idiag[33]*s5 + idiag[40]*s6 + idiag[47]*s7;
943         x[i2+6] = idiag[6]*s1 + idiag[13]*s2 + idiag[20]*s3 + idiag[27]*s4 + idiag[34]*s5 + idiag[41]*s6 + idiag[48]*s7;
944         idiag   -= 49;
945         i2      -= 7;
946       }
947       ierr = PetscLogFlops(49.0*(a->nz));CHKERRQ(ierr);
948     }
949   } else {
950     SETERRQ(PETSC_ERR_SUP,"Only supports point block SOR with zero initial guess");
951   }
952   ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr);
953   ierr = VecRestoreArray(bb,(PetscScalar**)&b);CHKERRQ(ierr);
954   PetscFunctionReturn(0);
955 }
956 
957 /*
958     Special version for direct calls from Fortran (Used in PETSc-fun3d)
959 */
960 #if defined(PETSC_HAVE_FORTRAN_CAPS)
961 #define matsetvaluesblocked4_ MATSETVALUESBLOCKED4
962 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
963 #define matsetvaluesblocked4_ matsetvaluesblocked4
964 #endif
965 
966 EXTERN_C_BEGIN
967 #undef __FUNCT__
968 #define __FUNCT__ "matsetvaluesblocked4_"
969 void PETSCMAT_DLLEXPORT matsetvaluesblocked4_(Mat *AA,PetscInt *mm,const PetscInt im[],PetscInt *nn,const PetscInt in[],const PetscScalar v[])
970 {
971   Mat               A = *AA;
972   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
973   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,N,m = *mm,n = *nn;
974   PetscInt          *ai=a->i,*ailen=a->ilen;
975   PetscInt          *aj=a->j,stepval,lastcol = -1;
976   const PetscScalar *value = v;
977   MatScalar         *ap,*aa = a->a,*bap;
978 
979   PetscFunctionBegin;
980   if (A->rmap->bs != 4) SETERRABORT(((PetscObject)A)->comm,PETSC_ERR_ARG_WRONG,"Can only be called with a block size of 4");
981   stepval = (n-1)*4;
982   for (k=0; k<m; k++) { /* loop over added rows */
983     row  = im[k];
984     rp   = aj + ai[row];
985     ap   = aa + 16*ai[row];
986     nrow = ailen[row];
987     low  = 0;
988     high = nrow;
989     for (l=0; l<n; l++) { /* loop over added columns */
990       col = in[l];
991       if (col <= lastcol) low = 0; else high = nrow;
992       lastcol = col;
993       value = v + k*(stepval+4 + l)*4;
994       while (high-low > 7) {
995         t = (low+high)/2;
996         if (rp[t] > col) high = t;
997         else             low  = t;
998       }
999       for (i=low; i<high; i++) {
1000         if (rp[i] > col) break;
1001         if (rp[i] == col) {
1002           bap  = ap +  16*i;
1003           for (ii=0; ii<4; ii++,value+=stepval) {
1004             for (jj=ii; jj<16; jj+=4) {
1005               bap[jj] += *value++;
1006             }
1007           }
1008           goto noinsert2;
1009         }
1010       }
1011       N = nrow++ - 1;
1012       high++; /* added new column index thus must search to one higher than before */
1013       /* shift up all the later entries in this row */
1014       for (ii=N; ii>=i; ii--) {
1015         rp[ii+1] = rp[ii];
1016         PetscMemcpy(ap+16*(ii+1),ap+16*(ii),16*sizeof(MatScalar));
1017       }
1018       if (N >= i) {
1019         PetscMemzero(ap+16*i,16*sizeof(MatScalar));
1020       }
1021       rp[i] = col;
1022       bap   = ap +  16*i;
1023       for (ii=0; ii<4; ii++,value+=stepval) {
1024         for (jj=ii; jj<16; jj+=4) {
1025           bap[jj] = *value++;
1026         }
1027       }
1028       noinsert2:;
1029       low = i;
1030     }
1031     ailen[row] = nrow;
1032   }
1033   PetscFunctionReturnVoid();
1034 }
1035 EXTERN_C_END
1036 
1037 #if defined(PETSC_HAVE_FORTRAN_CAPS)
1038 #define matsetvalues4_ MATSETVALUES4
1039 #elif !defined(PETSC_HAVE_FORTRAN_UNDERSCORE)
1040 #define matsetvalues4_ matsetvalues4
1041 #endif
1042 
1043 EXTERN_C_BEGIN
1044 #undef __FUNCT__
1045 #define __FUNCT__ "MatSetValues4_"
1046 void PETSCMAT_DLLEXPORT matsetvalues4_(Mat *AA,PetscInt *mm,PetscInt *im,PetscInt *nn,PetscInt *in,PetscScalar *v)
1047 {
1048   Mat         A = *AA;
1049   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1050   PetscInt    *rp,k,low,high,t,ii,row,nrow,i,col,l,N,n = *nn,m = *mm;
1051   PetscInt    *ai=a->i,*ailen=a->ilen;
1052   PetscInt    *aj=a->j,brow,bcol;
1053   PetscInt    ridx,cidx,lastcol = -1;
1054   MatScalar   *ap,value,*aa=a->a,*bap;
1055 
1056   PetscFunctionBegin;
1057   for (k=0; k<m; k++) { /* loop over added rows */
1058     row  = im[k]; brow = row/4;
1059     rp   = aj + ai[brow];
1060     ap   = aa + 16*ai[brow];
1061     nrow = ailen[brow];
1062     low  = 0;
1063     high = nrow;
1064     for (l=0; l<n; l++) { /* loop over added columns */
1065       col = in[l]; bcol = col/4;
1066       ridx = row % 4; cidx = col % 4;
1067       value = v[l + k*n];
1068       if (col <= lastcol) low = 0; else high = nrow;
1069       lastcol = col;
1070       while (high-low > 7) {
1071         t = (low+high)/2;
1072         if (rp[t] > bcol) high = t;
1073         else              low  = t;
1074       }
1075       for (i=low; i<high; i++) {
1076         if (rp[i] > bcol) break;
1077         if (rp[i] == bcol) {
1078           bap  = ap +  16*i + 4*cidx + ridx;
1079           *bap += value;
1080           goto noinsert1;
1081         }
1082       }
1083       N = nrow++ - 1;
1084       high++; /* added new column thus must search to one higher than before */
1085       /* shift up all the later entries in this row */
1086       for (ii=N; ii>=i; ii--) {
1087         rp[ii+1] = rp[ii];
1088         PetscMemcpy(ap+16*(ii+1),ap+16*(ii),16*sizeof(MatScalar));
1089       }
1090       if (N>=i) {
1091         PetscMemzero(ap+16*i,16*sizeof(MatScalar));
1092       }
1093       rp[i]                    = bcol;
1094       ap[16*i + 4*cidx + ridx] = value;
1095       noinsert1:;
1096       low = i;
1097     }
1098     ailen[brow] = nrow;
1099   }
1100   PetscFunctionReturnVoid();
1101 }
1102 EXTERN_C_END
1103 
1104 /*
1105      Checks for missing diagonals
1106 */
1107 #undef __FUNCT__
1108 #define __FUNCT__ "MatMissingDiagonal_SeqBAIJ"
1109 PetscErrorCode MatMissingDiagonal_SeqBAIJ(Mat A,PetscTruth *missing,PetscInt *d)
1110 {
1111   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1112   PetscErrorCode ierr;
1113   PetscInt       *diag,*jj = a->j,i;
1114 
1115   PetscFunctionBegin;
1116   ierr = MatMarkDiagonal_SeqBAIJ(A);CHKERRQ(ierr);
1117   *missing = PETSC_FALSE;
1118   if (A->rmap->n > 0 && !jj) {
1119     *missing  = PETSC_TRUE;
1120     if (d) *d = 0;
1121     PetscInfo(A,"Matrix has no entries therefor is missing diagonal");
1122   } else {
1123     diag     = a->diag;
1124     for (i=0; i<a->mbs; i++) {
1125       if (jj[diag[i]] != i) {
1126         *missing  = PETSC_TRUE;
1127         if (d) *d = i;
1128         PetscInfo1(A,"Matrix is missing block diagonal number %D",i);
1129       }
1130     }
1131   }
1132   PetscFunctionReturn(0);
1133 }
1134 
1135 #undef __FUNCT__
1136 #define __FUNCT__ "MatMarkDiagonal_SeqBAIJ"
1137 PetscErrorCode MatMarkDiagonal_SeqBAIJ(Mat A)
1138 {
1139   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1140   PetscErrorCode ierr;
1141   PetscInt       i,j,m = a->mbs;
1142 
1143   PetscFunctionBegin;
1144   if (!a->diag) {
1145     ierr = PetscMalloc(m*sizeof(PetscInt),&a->diag);CHKERRQ(ierr);
1146     ierr = PetscLogObjectMemory(A,m*sizeof(PetscInt));CHKERRQ(ierr);
1147     a->free_diag = PETSC_TRUE;
1148   }
1149   for (i=0; i<m; i++) {
1150     a->diag[i] = a->i[i+1];
1151     for (j=a->i[i]; j<a->i[i+1]; j++) {
1152       if (a->j[j] == i) {
1153         a->diag[i] = j;
1154         break;
1155       }
1156     }
1157   }
1158   PetscFunctionReturn(0);
1159 }
1160 
1161 
1162 EXTERN PetscErrorCode MatToSymmetricIJ_SeqAIJ(PetscInt,PetscInt*,PetscInt*,PetscInt,PetscInt,PetscInt**,PetscInt**);
1163 
1164 #undef __FUNCT__
1165 #define __FUNCT__ "MatGetRowIJ_SeqBAIJ"
1166 static PetscErrorCode MatGetRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
1167 {
1168   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1169   PetscErrorCode ierr;
1170   PetscInt       i,j,n = a->mbs,nz = a->i[n],bs = A->rmap->bs,nbs = 1,k,l,cnt;
1171   PetscInt       *tia, *tja;
1172 
1173   PetscFunctionBegin;
1174   *nn = n;
1175   if (!ia) PetscFunctionReturn(0);
1176   if (symmetric) {
1177     ierr = MatToSymmetricIJ_SeqAIJ(n,a->i,a->j,0,0,&tia,&tja);CHKERRQ(ierr);
1178   } else {
1179     tia = a->i; tja = a->j;
1180   }
1181 
1182   if (!blockcompressed && bs > 1) {
1183     (*nn) *= bs;
1184     nbs    = bs;
1185     /* malloc & create the natural set of indices */
1186     ierr = PetscMalloc((n+1)*bs*sizeof(PetscInt),ia);CHKERRQ(ierr);
1187     if (n) {
1188       (*ia)[0] = 0;
1189       for (j=1; j<bs; j++) {
1190         (*ia)[j] = (tia[1]-tia[0])*bs+(*ia)[j-1];
1191       }
1192     }
1193 
1194     for (i=1; i<n; i++) {
1195       (*ia)[i*bs] = (tia[i]-tia[i-1])*bs + (*ia)[i*bs-1];
1196       for (j=1; j<bs; j++) {
1197         (*ia)[i*bs+j] = (tia[i+1]-tia[i])*bs + (*ia)[i*bs+j-1];
1198       }
1199     }
1200     if (n) {
1201       (*ia)[n*bs] = (tia[n]-tia[n-1])*bs + (*ia)[n*bs-1];
1202     }
1203 
1204     if (ja) {
1205       ierr = PetscMalloc(nz*bs*bs*sizeof(PetscInt),ja);CHKERRQ(ierr);
1206       cnt = 0;
1207       for (i=0; i<n; i++) {
1208         for (j=0; j<bs; j++) {
1209           for (k=tia[i]; k<tia[i+1]; k++) {
1210             for (l=0; l<bs; l++) {
1211               (*ja)[cnt++] = bs*tja[k] + l;
1212 	    }
1213           }
1214         }
1215       }
1216     }
1217 
1218     n     *= bs;
1219     nz *= bs*bs;
1220     if (symmetric) { /* deallocate memory allocated in MatToSymmetricIJ_SeqAIJ() */
1221       ierr = PetscFree(tia);CHKERRQ(ierr);
1222       ierr = PetscFree(tja);CHKERRQ(ierr);
1223     }
1224   } else if (oshift == 1) {
1225     if (symmetric) {
1226       PetscInt nz = tia[A->rmap->n/bs];
1227       /*  add 1 to i and j indices */
1228       for (i=0; i<A->rmap->n/bs+1; i++) tia[i] = tia[i] + 1;
1229       *ia = tia;
1230       if (ja) {
1231 	for (i=0; i<nz; i++) tja[i] = tja[i] + 1;
1232         *ja = tja;
1233       }
1234     } else {
1235       PetscInt nz = a->i[A->rmap->n/bs];
1236       /* malloc space and  add 1 to i and j indices */
1237       ierr = PetscMalloc((A->rmap->n/bs+1)*sizeof(PetscInt),ia);CHKERRQ(ierr);
1238       for (i=0; i<A->rmap->n/bs+1; i++) (*ia)[i] = a->i[i] + 1;
1239       if (ja) {
1240 	ierr = PetscMalloc(nz*sizeof(PetscInt),ja);CHKERRQ(ierr);
1241 	for (i=0; i<nz; i++) (*ja)[i] = a->j[i] + 1;
1242       }
1243     }
1244   } else {
1245     *ia = tia;
1246     if (ja) *ja = tja;
1247   }
1248 
1249   PetscFunctionReturn(0);
1250 }
1251 
1252 #undef __FUNCT__
1253 #define __FUNCT__ "MatRestoreRowIJ_SeqBAIJ"
1254 static PetscErrorCode MatRestoreRowIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth blockcompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
1255 {
1256   PetscErrorCode ierr;
1257 
1258   PetscFunctionBegin;
1259   if (!ia) PetscFunctionReturn(0);
1260   if ((!blockcompressed && A->rmap->bs > 1) || (symmetric || oshift == 1)) {
1261     ierr = PetscFree(*ia);CHKERRQ(ierr);
1262     if (ja) {ierr = PetscFree(*ja);CHKERRQ(ierr);}
1263   }
1264   PetscFunctionReturn(0);
1265 }
1266 
1267 #undef __FUNCT__
1268 #define __FUNCT__ "MatDestroy_SeqBAIJ"
1269 PetscErrorCode MatDestroy_SeqBAIJ(Mat A)
1270 {
1271   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1272   PetscErrorCode ierr;
1273 
1274   PetscFunctionBegin;
1275 #if defined(PETSC_USE_LOG)
1276   PetscLogObjectState((PetscObject)A,"Rows=%D, Cols=%D, NZ=%D",A->rmap->N,A->cmap->n,a->nz);
1277 #endif
1278   ierr = MatSeqXAIJFreeAIJ(A,&a->a,&a->j,&a->i);CHKERRQ(ierr);
1279   if (a->row) {
1280     ierr = ISDestroy(a->row);CHKERRQ(ierr);
1281   }
1282   if (a->col) {
1283     ierr = ISDestroy(a->col);CHKERRQ(ierr);
1284   }
1285   if (a->free_diag) {ierr = PetscFree(a->diag);CHKERRQ(ierr);}
1286   ierr = PetscFree(a->idiag);CHKERRQ(ierr);
1287   if (a->free_imax_ilen) {ierr = PetscFree2(a->imax,a->ilen);CHKERRQ(ierr);}
1288   ierr = PetscFree(a->solve_work);CHKERRQ(ierr);
1289   ierr = PetscFree(a->mult_work);CHKERRQ(ierr);
1290   if (a->icol) {ierr = ISDestroy(a->icol);CHKERRQ(ierr);}
1291   ierr = PetscFree(a->saved_values);CHKERRQ(ierr);
1292   ierr = PetscFree(a->xtoy);CHKERRQ(ierr);
1293   if (a->compressedrow.use){ierr = PetscFree(a->compressedrow.i);}
1294 
1295   if (a->sbaijMat) {ierr = MatDestroy(a->sbaijMat);CHKERRQ(ierr);}
1296   if (a->parent) {ierr = MatDestroy(a->parent);CHKERRQ(ierr);}
1297   ierr = PetscFree(a);CHKERRQ(ierr);
1298 
1299   ierr = PetscObjectChangeTypeName((PetscObject)A,0);CHKERRQ(ierr);
1300   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJInvertBlockDiagonal_C","",PETSC_NULL);CHKERRQ(ierr);
1301   ierr = PetscObjectComposeFunction((PetscObject)A,"MatStoreValues_C","",PETSC_NULL);CHKERRQ(ierr);
1302   ierr = PetscObjectComposeFunction((PetscObject)A,"MatRetrieveValues_C","",PETSC_NULL);CHKERRQ(ierr);
1303   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetColumnIndices_C","",PETSC_NULL);CHKERRQ(ierr);
1304   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqaij_C","",PETSC_NULL);CHKERRQ(ierr);
1305   ierr = PetscObjectComposeFunction((PetscObject)A,"MatConvert_seqbaij_seqsbaij_C","",PETSC_NULL);CHKERRQ(ierr);
1306   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocation_C","",PETSC_NULL);CHKERRQ(ierr);
1307   ierr = PetscObjectComposeFunction((PetscObject)A,"MatSeqBAIJSetPreallocationCSR_C","",PETSC_NULL);CHKERRQ(ierr);
1308   PetscFunctionReturn(0);
1309 }
1310 
1311 #undef __FUNCT__
1312 #define __FUNCT__ "MatSetOption_SeqBAIJ"
1313 PetscErrorCode MatSetOption_SeqBAIJ(Mat A,MatOption op,PetscTruth flg)
1314 {
1315   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1316   PetscErrorCode ierr;
1317 
1318   PetscFunctionBegin;
1319   switch (op) {
1320   case MAT_ROW_ORIENTED:
1321     a->roworiented    = flg;
1322     break;
1323   case MAT_KEEP_NONZERO_PATTERN:
1324     a->keepnonzeropattern = flg;
1325     break;
1326   case MAT_NEW_NONZERO_LOCATIONS:
1327     a->nonew          = (flg ? 0 : 1);
1328     break;
1329   case MAT_NEW_NONZERO_LOCATION_ERR:
1330     a->nonew          = (flg ? -1 : 0);
1331     break;
1332   case MAT_NEW_NONZERO_ALLOCATION_ERR:
1333     a->nonew          = (flg ? -2 : 0);
1334     break;
1335   case MAT_UNUSED_NONZERO_LOCATION_ERR:
1336     a->nounused       = (flg ? -1 : 0);
1337     break;
1338   case MAT_NEW_DIAGONALS:
1339   case MAT_IGNORE_OFF_PROC_ENTRIES:
1340   case MAT_USE_HASH_TABLE:
1341     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1342     break;
1343   case MAT_SYMMETRIC:
1344   case MAT_STRUCTURALLY_SYMMETRIC:
1345   case MAT_HERMITIAN:
1346   case MAT_SYMMETRY_ETERNAL:
1347     ierr = PetscInfo1(A,"Option %s ignored\n",MatOptions[op]);CHKERRQ(ierr);
1348     break;
1349   default:
1350     SETERRQ1(PETSC_ERR_SUP,"unknown option %d",op);
1351   }
1352   PetscFunctionReturn(0);
1353 }
1354 
1355 #undef __FUNCT__
1356 #define __FUNCT__ "MatGetRow_SeqBAIJ"
1357 PetscErrorCode MatGetRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1358 {
1359   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1360   PetscErrorCode ierr;
1361   PetscInt       itmp,i,j,k,M,*ai,*aj,bs,bn,bp,*idx_i,bs2;
1362   MatScalar      *aa,*aa_i;
1363   PetscScalar    *v_i;
1364 
1365   PetscFunctionBegin;
1366   bs  = A->rmap->bs;
1367   ai  = a->i;
1368   aj  = a->j;
1369   aa  = a->a;
1370   bs2 = a->bs2;
1371 
1372   if (row < 0 || row >= A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Row %D out of range", row);
1373 
1374   bn  = row/bs;   /* Block number */
1375   bp  = row % bs; /* Block Position */
1376   M   = ai[bn+1] - ai[bn];
1377   *nz = bs*M;
1378 
1379   if (v) {
1380     *v = 0;
1381     if (*nz) {
1382       ierr = PetscMalloc((*nz)*sizeof(PetscScalar),v);CHKERRQ(ierr);
1383       for (i=0; i<M; i++) { /* for each block in the block row */
1384         v_i  = *v + i*bs;
1385         aa_i = aa + bs2*(ai[bn] + i);
1386         for (j=bp,k=0; j<bs2; j+=bs,k++) {v_i[k] = aa_i[j];}
1387       }
1388     }
1389   }
1390 
1391   if (idx) {
1392     *idx = 0;
1393     if (*nz) {
1394       ierr = PetscMalloc((*nz)*sizeof(PetscInt),idx);CHKERRQ(ierr);
1395       for (i=0; i<M; i++) { /* for each block in the block row */
1396         idx_i = *idx + i*bs;
1397         itmp  = bs*aj[ai[bn] + i];
1398         for (j=0; j<bs; j++) {idx_i[j] = itmp++;}
1399       }
1400     }
1401   }
1402   PetscFunctionReturn(0);
1403 }
1404 
1405 #undef __FUNCT__
1406 #define __FUNCT__ "MatRestoreRow_SeqBAIJ"
1407 PetscErrorCode MatRestoreRow_SeqBAIJ(Mat A,PetscInt row,PetscInt *nz,PetscInt **idx,PetscScalar **v)
1408 {
1409   PetscErrorCode ierr;
1410 
1411   PetscFunctionBegin;
1412   if (idx) {ierr = PetscFree(*idx);CHKERRQ(ierr);}
1413   if (v)   {ierr = PetscFree(*v);CHKERRQ(ierr);}
1414   PetscFunctionReturn(0);
1415 }
1416 
1417 #undef __FUNCT__
1418 #define __FUNCT__ "MatTranspose_SeqBAIJ"
1419 PetscErrorCode MatTranspose_SeqBAIJ(Mat A,MatReuse reuse,Mat *B)
1420 {
1421   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ *)A->data;
1422   Mat            C;
1423   PetscErrorCode ierr;
1424   PetscInt       i,j,k,*aj=a->j,*ai=a->i,bs=A->rmap->bs,mbs=a->mbs,nbs=a->nbs,len,*col;
1425   PetscInt       *rows,*cols,bs2=a->bs2;
1426   MatScalar      *array;
1427 
1428   PetscFunctionBegin;
1429   if (reuse == MAT_REUSE_MATRIX && A == *B && mbs != nbs) SETERRQ(PETSC_ERR_ARG_SIZ,"Square matrix only for in-place");
1430   if (reuse == MAT_INITIAL_MATRIX || A == *B) {
1431     ierr = PetscMalloc((1+nbs)*sizeof(PetscInt),&col);CHKERRQ(ierr);
1432     ierr = PetscMemzero(col,(1+nbs)*sizeof(PetscInt));CHKERRQ(ierr);
1433 
1434     for (i=0; i<ai[mbs]; i++) col[aj[i]] += 1;
1435     ierr = MatCreate(((PetscObject)A)->comm,&C);CHKERRQ(ierr);
1436     ierr = MatSetSizes(C,A->cmap->n,A->rmap->N,A->cmap->n,A->rmap->N);CHKERRQ(ierr);
1437     ierr = MatSetType(C,((PetscObject)A)->type_name);CHKERRQ(ierr);
1438     ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(C,bs,PETSC_NULL,col);CHKERRQ(ierr);
1439     ierr = PetscFree(col);CHKERRQ(ierr);
1440   } else {
1441     C = *B;
1442   }
1443 
1444   array = a->a;
1445   ierr = PetscMalloc(2*bs*sizeof(PetscInt),&rows);CHKERRQ(ierr);
1446   cols = rows + bs;
1447   for (i=0; i<mbs; i++) {
1448     cols[0] = i*bs;
1449     for (k=1; k<bs; k++) cols[k] = cols[k-1] + 1;
1450     len = ai[i+1] - ai[i];
1451     for (j=0; j<len; j++) {
1452       rows[0] = (*aj++)*bs;
1453       for (k=1; k<bs; k++) rows[k] = rows[k-1] + 1;
1454       ierr = MatSetValues(C,bs,rows,bs,cols,array,INSERT_VALUES);CHKERRQ(ierr);
1455       array += bs2;
1456     }
1457   }
1458   ierr = PetscFree(rows);CHKERRQ(ierr);
1459 
1460   ierr = MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1461   ierr = MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
1462 
1463   if (reuse == MAT_INITIAL_MATRIX || *B != A) {
1464     *B = C;
1465   } else {
1466     ierr = MatHeaderCopy(A,C);CHKERRQ(ierr);
1467   }
1468   PetscFunctionReturn(0);
1469 }
1470 
1471 #undef __FUNCT__
1472 #define __FUNCT__ "MatView_SeqBAIJ_Binary"
1473 static PetscErrorCode MatView_SeqBAIJ_Binary(Mat A,PetscViewer viewer)
1474 {
1475   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1476   PetscErrorCode ierr;
1477   PetscInt       i,*col_lens,bs = A->rmap->bs,count,*jj,j,k,l,bs2=a->bs2;
1478   int            fd;
1479   PetscScalar    *aa;
1480   FILE           *file;
1481 
1482   PetscFunctionBegin;
1483   ierr        = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
1484   ierr        = PetscMalloc((4+A->rmap->N)*sizeof(PetscInt),&col_lens);CHKERRQ(ierr);
1485   col_lens[0] = MAT_FILE_COOKIE;
1486 
1487   col_lens[1] = A->rmap->N;
1488   col_lens[2] = A->cmap->n;
1489   col_lens[3] = a->nz*bs2;
1490 
1491   /* store lengths of each row and write (including header) to file */
1492   count = 0;
1493   for (i=0; i<a->mbs; i++) {
1494     for (j=0; j<bs; j++) {
1495       col_lens[4+count++] = bs*(a->i[i+1] - a->i[i]);
1496     }
1497   }
1498   ierr = PetscBinaryWrite(fd,col_lens,4+A->rmap->N,PETSC_INT,PETSC_TRUE);CHKERRQ(ierr);
1499   ierr = PetscFree(col_lens);CHKERRQ(ierr);
1500 
1501   /* store column indices (zero start index) */
1502   ierr  = PetscMalloc((a->nz+1)*bs2*sizeof(PetscInt),&jj);CHKERRQ(ierr);
1503   count = 0;
1504   for (i=0; i<a->mbs; i++) {
1505     for (j=0; j<bs; j++) {
1506       for (k=a->i[i]; k<a->i[i+1]; k++) {
1507         for (l=0; l<bs; l++) {
1508           jj[count++] = bs*a->j[k] + l;
1509         }
1510       }
1511     }
1512   }
1513   ierr = PetscBinaryWrite(fd,jj,bs2*a->nz,PETSC_INT,PETSC_FALSE);CHKERRQ(ierr);
1514   ierr = PetscFree(jj);CHKERRQ(ierr);
1515 
1516   /* store nonzero values */
1517   ierr  = PetscMalloc((a->nz+1)*bs2*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
1518   count = 0;
1519   for (i=0; i<a->mbs; i++) {
1520     for (j=0; j<bs; j++) {
1521       for (k=a->i[i]; k<a->i[i+1]; k++) {
1522         for (l=0; l<bs; l++) {
1523           aa[count++] = a->a[bs2*k + l*bs + j];
1524         }
1525       }
1526     }
1527   }
1528   ierr = PetscBinaryWrite(fd,aa,bs2*a->nz,PETSC_SCALAR,PETSC_FALSE);CHKERRQ(ierr);
1529   ierr = PetscFree(aa);CHKERRQ(ierr);
1530 
1531   ierr = PetscViewerBinaryGetInfoPointer(viewer,&file);CHKERRQ(ierr);
1532   if (file) {
1533     fprintf(file,"-matload_block_size %d\n",(int)A->rmap->bs);
1534   }
1535   PetscFunctionReturn(0);
1536 }
1537 
1538 #undef __FUNCT__
1539 #define __FUNCT__ "MatView_SeqBAIJ_ASCII"
1540 static PetscErrorCode MatView_SeqBAIJ_ASCII(Mat A,PetscViewer viewer)
1541 {
1542   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1543   PetscErrorCode    ierr;
1544   PetscInt          i,j,bs = A->rmap->bs,k,l,bs2=a->bs2;
1545   PetscViewerFormat format;
1546 
1547   PetscFunctionBegin;
1548   ierr = PetscViewerGetFormat(viewer,&format);CHKERRQ(ierr);
1549   if (format == PETSC_VIEWER_ASCII_INFO || format == PETSC_VIEWER_ASCII_INFO_DETAIL) {
1550     ierr = PetscViewerASCIIPrintf(viewer,"  block size is %D\n",bs);CHKERRQ(ierr);
1551   } else if (format == PETSC_VIEWER_ASCII_MATLAB) {
1552     Mat aij;
1553     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&aij);CHKERRQ(ierr);
1554     ierr = MatView(aij,viewer);CHKERRQ(ierr);
1555     ierr = MatDestroy(aij);CHKERRQ(ierr);
1556   } else if (format == PETSC_VIEWER_ASCII_FACTOR_INFO) {
1557      PetscFunctionReturn(0);
1558   } else if (format == PETSC_VIEWER_ASCII_COMMON) {
1559     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
1560     for (i=0; i<a->mbs; i++) {
1561       for (j=0; j<bs; j++) {
1562         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1563         for (k=a->i[i]; k<a->i[i+1]; k++) {
1564           for (l=0; l<bs; l++) {
1565 #if defined(PETSC_USE_COMPLEX)
1566             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1567               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %Gi) ",bs*a->j[k]+l,
1568                       PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1569             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0 && PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1570               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %Gi) ",bs*a->j[k]+l,
1571                       PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1572             } else if (PetscRealPart(a->a[bs2*k + l*bs + j]) != 0.0) {
1573               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1574             }
1575 #else
1576             if (a->a[bs2*k + l*bs + j] != 0.0) {
1577               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1578             }
1579 #endif
1580           }
1581         }
1582         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1583       }
1584     }
1585     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
1586   } else {
1587     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_NO);CHKERRQ(ierr);
1588     for (i=0; i<a->mbs; i++) {
1589       for (j=0; j<bs; j++) {
1590         ierr = PetscViewerASCIIPrintf(viewer,"row %D:",i*bs+j);CHKERRQ(ierr);
1591         for (k=a->i[i]; k<a->i[i+1]; k++) {
1592           for (l=0; l<bs; l++) {
1593 #if defined(PETSC_USE_COMPLEX)
1594             if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) > 0.0) {
1595               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G + %G i) ",bs*a->j[k]+l,
1596                 PetscRealPart(a->a[bs2*k + l*bs + j]),PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1597             } else if (PetscImaginaryPart(a->a[bs2*k + l*bs + j]) < 0.0) {
1598               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G - %G i) ",bs*a->j[k]+l,
1599                 PetscRealPart(a->a[bs2*k + l*bs + j]),-PetscImaginaryPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1600             } else {
1601               ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,PetscRealPart(a->a[bs2*k + l*bs + j]));CHKERRQ(ierr);
1602             }
1603 #else
1604             ierr = PetscViewerASCIIPrintf(viewer," (%D, %G) ",bs*a->j[k]+l,a->a[bs2*k + l*bs + j]);CHKERRQ(ierr);
1605 #endif
1606           }
1607         }
1608         ierr = PetscViewerASCIIPrintf(viewer,"\n");CHKERRQ(ierr);
1609       }
1610     }
1611     ierr = PetscViewerASCIIUseTabs(viewer,PETSC_YES);CHKERRQ(ierr);
1612   }
1613   ierr = PetscViewerFlush(viewer);CHKERRQ(ierr);
1614   PetscFunctionReturn(0);
1615 }
1616 
1617 #undef __FUNCT__
1618 #define __FUNCT__ "MatView_SeqBAIJ_Draw_Zoom"
1619 static PetscErrorCode MatView_SeqBAIJ_Draw_Zoom(PetscDraw draw,void *Aa)
1620 {
1621   Mat            A = (Mat) Aa;
1622   Mat_SeqBAIJ    *a=(Mat_SeqBAIJ*)A->data;
1623   PetscErrorCode ierr;
1624   PetscInt       row,i,j,k,l,mbs=a->mbs,color,bs=A->rmap->bs,bs2=a->bs2;
1625   PetscReal      xl,yl,xr,yr,x_l,x_r,y_l,y_r;
1626   MatScalar      *aa;
1627   PetscViewer    viewer;
1628 
1629   PetscFunctionBegin;
1630 
1631   /* still need to add support for contour plot of nonzeros; see MatView_SeqAIJ_Draw_Zoom()*/
1632   ierr = PetscObjectQuery((PetscObject)A,"Zoomviewer",(PetscObject*)&viewer);CHKERRQ(ierr);
1633 
1634   ierr = PetscDrawGetCoordinates(draw,&xl,&yl,&xr,&yr);CHKERRQ(ierr);
1635 
1636   /* loop over matrix elements drawing boxes */
1637   color = PETSC_DRAW_BLUE;
1638   for (i=0,row=0; i<mbs; i++,row+=bs) {
1639     for (j=a->i[i]; j<a->i[i+1]; j++) {
1640       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1641       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1642       aa = a->a + j*bs2;
1643       for (k=0; k<bs; k++) {
1644         for (l=0; l<bs; l++) {
1645           if (PetscRealPart(*aa++) >=  0.) continue;
1646           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1647         }
1648       }
1649     }
1650   }
1651   color = PETSC_DRAW_CYAN;
1652   for (i=0,row=0; i<mbs; i++,row+=bs) {
1653     for (j=a->i[i]; j<a->i[i+1]; j++) {
1654       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1655       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1656       aa = a->a + j*bs2;
1657       for (k=0; k<bs; k++) {
1658         for (l=0; l<bs; l++) {
1659           if (PetscRealPart(*aa++) != 0.) continue;
1660           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1661         }
1662       }
1663     }
1664   }
1665 
1666   color = PETSC_DRAW_RED;
1667   for (i=0,row=0; i<mbs; i++,row+=bs) {
1668     for (j=a->i[i]; j<a->i[i+1]; j++) {
1669       y_l = A->rmap->N - row - 1.0; y_r = y_l + 1.0;
1670       x_l = a->j[j]*bs; x_r = x_l + 1.0;
1671       aa = a->a + j*bs2;
1672       for (k=0; k<bs; k++) {
1673         for (l=0; l<bs; l++) {
1674           if (PetscRealPart(*aa++) <= 0.) continue;
1675           ierr = PetscDrawRectangle(draw,x_l+k,y_l-l,x_r+k,y_r-l,color,color,color,color);CHKERRQ(ierr);
1676         }
1677       }
1678     }
1679   }
1680   PetscFunctionReturn(0);
1681 }
1682 
1683 #undef __FUNCT__
1684 #define __FUNCT__ "MatView_SeqBAIJ_Draw"
1685 static PetscErrorCode MatView_SeqBAIJ_Draw(Mat A,PetscViewer viewer)
1686 {
1687   PetscErrorCode ierr;
1688   PetscReal      xl,yl,xr,yr,w,h;
1689   PetscDraw      draw;
1690   PetscTruth     isnull;
1691 
1692   PetscFunctionBegin;
1693 
1694   ierr = PetscViewerDrawGetDraw(viewer,0,&draw);CHKERRQ(ierr);
1695   ierr = PetscDrawIsNull(draw,&isnull);CHKERRQ(ierr); if (isnull) PetscFunctionReturn(0);
1696 
1697   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",(PetscObject)viewer);CHKERRQ(ierr);
1698   xr  = A->cmap->n; yr = A->rmap->N; h = yr/10.0; w = xr/10.0;
1699   xr += w;    yr += h;  xl = -w;     yl = -h;
1700   ierr = PetscDrawSetCoordinates(draw,xl,yl,xr,yr);CHKERRQ(ierr);
1701   ierr = PetscDrawZoom(draw,MatView_SeqBAIJ_Draw_Zoom,A);CHKERRQ(ierr);
1702   ierr = PetscObjectCompose((PetscObject)A,"Zoomviewer",PETSC_NULL);CHKERRQ(ierr);
1703   PetscFunctionReturn(0);
1704 }
1705 
1706 #undef __FUNCT__
1707 #define __FUNCT__ "MatView_SeqBAIJ"
1708 PetscErrorCode MatView_SeqBAIJ(Mat A,PetscViewer viewer)
1709 {
1710   PetscErrorCode ierr;
1711   PetscTruth     iascii,isbinary,isdraw;
1712 
1713   PetscFunctionBegin;
1714   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_ASCII,&iascii);CHKERRQ(ierr);
1715   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_BINARY,&isbinary);CHKERRQ(ierr);
1716   ierr = PetscTypeCompare((PetscObject)viewer,PETSC_VIEWER_DRAW,&isdraw);CHKERRQ(ierr);
1717   if (iascii){
1718     ierr = MatView_SeqBAIJ_ASCII(A,viewer);CHKERRQ(ierr);
1719   } else if (isbinary) {
1720     ierr = MatView_SeqBAIJ_Binary(A,viewer);CHKERRQ(ierr);
1721   } else if (isdraw) {
1722     ierr = MatView_SeqBAIJ_Draw(A,viewer);CHKERRQ(ierr);
1723   } else {
1724     Mat B;
1725     ierr = MatConvert(A,MATSEQAIJ,MAT_INITIAL_MATRIX,&B);CHKERRQ(ierr);
1726     ierr = MatView(B,viewer);CHKERRQ(ierr);
1727     ierr = MatDestroy(B);CHKERRQ(ierr);
1728   }
1729   PetscFunctionReturn(0);
1730 }
1731 
1732 
1733 #undef __FUNCT__
1734 #define __FUNCT__ "MatGetValues_SeqBAIJ"
1735 PetscErrorCode MatGetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],PetscScalar v[])
1736 {
1737   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
1738   PetscInt    *rp,k,low,high,t,row,nrow,i,col,l,*aj = a->j;
1739   PetscInt    *ai = a->i,*ailen = a->ilen;
1740   PetscInt    brow,bcol,ridx,cidx,bs=A->rmap->bs,bs2=a->bs2;
1741   MatScalar   *ap,*aa = a->a;
1742 
1743   PetscFunctionBegin;
1744   for (k=0; k<m; k++) { /* loop over rows */
1745     row  = im[k]; brow = row/bs;
1746     if (row < 0) {v += n; continue;} /* SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative row"); */
1747     if (row >= A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Row %D too large", row);
1748     rp   = aj + ai[brow] ; ap = aa + bs2*ai[brow] ;
1749     nrow = ailen[brow];
1750     for (l=0; l<n; l++) { /* loop over columns */
1751       if (in[l] < 0) {v++; continue;} /* SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"Negative column"); */
1752       if (in[l] >= A->cmap->n) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Column %D too large", in[l]);
1753       col  = in[l] ;
1754       bcol = col/bs;
1755       cidx = col%bs;
1756       ridx = row%bs;
1757       high = nrow;
1758       low  = 0; /* assume unsorted */
1759       while (high-low > 5) {
1760         t = (low+high)/2;
1761         if (rp[t] > bcol) high = t;
1762         else             low  = t;
1763       }
1764       for (i=low; i<high; i++) {
1765         if (rp[i] > bcol) break;
1766         if (rp[i] == bcol) {
1767           *v++ = ap[bs2*i+bs*cidx+ridx];
1768           goto finished;
1769         }
1770       }
1771       *v++ = 0.0;
1772       finished:;
1773     }
1774   }
1775   PetscFunctionReturn(0);
1776 }
1777 
1778 #define CHUNKSIZE 10
1779 #undef __FUNCT__
1780 #define __FUNCT__ "MatSetValuesBlocked_SeqBAIJ"
1781 PetscErrorCode MatSetValuesBlocked_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
1782 {
1783   Mat_SeqBAIJ       *a = (Mat_SeqBAIJ*)A->data;
1784   PetscInt          *rp,k,low,high,t,ii,jj,row,nrow,i,col,l,rmax,N,lastcol = -1;
1785   PetscInt          *imax=a->imax,*ai=a->i,*ailen=a->ilen;
1786   PetscErrorCode    ierr;
1787   PetscInt          *aj=a->j,nonew=a->nonew,bs2=a->bs2,bs=A->rmap->bs,stepval;
1788   PetscTruth        roworiented=a->roworiented;
1789   const PetscScalar *value = v;
1790   MatScalar         *ap,*aa = a->a,*bap;
1791 
1792   PetscFunctionBegin;
1793   if (roworiented) {
1794     stepval = (n-1)*bs;
1795   } else {
1796     stepval = (m-1)*bs;
1797   }
1798   for (k=0; k<m; k++) { /* loop over added rows */
1799     row  = im[k];
1800     if (row < 0) continue;
1801 #if defined(PETSC_USE_DEBUG)
1802     if (row >= a->mbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,a->mbs-1);
1803 #endif
1804     rp   = aj + ai[row];
1805     ap   = aa + bs2*ai[row];
1806     rmax = imax[row];
1807     nrow = ailen[row];
1808     low  = 0;
1809     high = nrow;
1810     for (l=0; l<n; l++) { /* loop over added columns */
1811       if (in[l] < 0) continue;
1812 #if defined(PETSC_USE_DEBUG)
1813       if (in[l] >= a->nbs) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],a->nbs-1);
1814 #endif
1815       col = in[l];
1816       if (roworiented) {
1817         value = v + k*(stepval+bs)*bs + l*bs;
1818       } else {
1819         value = v + l*(stepval+bs)*bs + k*bs;
1820       }
1821       if (col <= lastcol) low = 0; else high = nrow;
1822       lastcol = col;
1823       while (high-low > 7) {
1824         t = (low+high)/2;
1825         if (rp[t] > col) high = t;
1826         else             low  = t;
1827       }
1828       for (i=low; i<high; i++) {
1829         if (rp[i] > col) break;
1830         if (rp[i] == col) {
1831           bap  = ap +  bs2*i;
1832           if (roworiented) {
1833             if (is == ADD_VALUES) {
1834               for (ii=0; ii<bs; ii++,value+=stepval) {
1835                 for (jj=ii; jj<bs2; jj+=bs) {
1836                   bap[jj] += *value++;
1837                 }
1838               }
1839             } else {
1840               for (ii=0; ii<bs; ii++,value+=stepval) {
1841                 for (jj=ii; jj<bs2; jj+=bs) {
1842                   bap[jj] = *value++;
1843                 }
1844               }
1845             }
1846           } else {
1847             if (is == ADD_VALUES) {
1848               for (ii=0; ii<bs; ii++,value+=stepval) {
1849                 for (jj=0; jj<bs; jj++) {
1850                   *bap++ += *value++;
1851                 }
1852               }
1853             } else {
1854               for (ii=0; ii<bs; ii++,value+=stepval) {
1855                 for (jj=0; jj<bs; jj++) {
1856                   *bap++  = *value++;
1857                 }
1858               }
1859             }
1860           }
1861           goto noinsert2;
1862         }
1863       }
1864       if (nonew == 1) goto noinsert2;
1865       if (nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
1866       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,row,col,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
1867       N = nrow++ - 1; high++;
1868       /* shift up all the later entries in this row */
1869       for (ii=N; ii>=i; ii--) {
1870         rp[ii+1] = rp[ii];
1871         ierr = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
1872       }
1873       if (N >= i) {
1874         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1875       }
1876       rp[i] = col;
1877       bap   = ap +  bs2*i;
1878       if (roworiented) {
1879         for (ii=0; ii<bs; ii++,value+=stepval) {
1880           for (jj=ii; jj<bs2; jj+=bs) {
1881             bap[jj] = *value++;
1882           }
1883         }
1884       } else {
1885         for (ii=0; ii<bs; ii++,value+=stepval) {
1886           for (jj=0; jj<bs; jj++) {
1887             *bap++  = *value++;
1888           }
1889         }
1890       }
1891       noinsert2:;
1892       low = i;
1893     }
1894     ailen[row] = nrow;
1895   }
1896   PetscFunctionReturn(0);
1897 }
1898 
1899 #undef __FUNCT__
1900 #define __FUNCT__ "MatAssemblyEnd_SeqBAIJ"
1901 PetscErrorCode MatAssemblyEnd_SeqBAIJ(Mat A,MatAssemblyType mode)
1902 {
1903   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
1904   PetscInt       fshift = 0,i,j,*ai = a->i,*aj = a->j,*imax = a->imax;
1905   PetscInt       m = A->rmap->N,*ip,N,*ailen = a->ilen;
1906   PetscErrorCode ierr;
1907   PetscInt       mbs = a->mbs,bs2 = a->bs2,rmax = 0;
1908   MatScalar      *aa = a->a,*ap;
1909   PetscReal      ratio=0.6;
1910 
1911   PetscFunctionBegin;
1912   if (mode == MAT_FLUSH_ASSEMBLY) PetscFunctionReturn(0);
1913 
1914   if (m) rmax = ailen[0];
1915   for (i=1; i<mbs; i++) {
1916     /* move each row back by the amount of empty slots (fshift) before it*/
1917     fshift += imax[i-1] - ailen[i-1];
1918     rmax   = PetscMax(rmax,ailen[i]);
1919     if (fshift) {
1920       ip = aj + ai[i]; ap = aa + bs2*ai[i];
1921       N = ailen[i];
1922       for (j=0; j<N; j++) {
1923         ip[j-fshift] = ip[j];
1924         ierr = PetscMemcpy(ap+(j-fshift)*bs2,ap+j*bs2,bs2*sizeof(MatScalar));CHKERRQ(ierr);
1925       }
1926     }
1927     ai[i] = ai[i-1] + ailen[i-1];
1928   }
1929   if (mbs) {
1930     fshift += imax[mbs-1] - ailen[mbs-1];
1931     ai[mbs] = ai[mbs-1] + ailen[mbs-1];
1932   }
1933   /* reset ilen and imax for each row */
1934   for (i=0; i<mbs; i++) {
1935     ailen[i] = imax[i] = ai[i+1] - ai[i];
1936   }
1937   a->nz = ai[mbs];
1938 
1939   /* diagonals may have moved, so kill the diagonal pointers */
1940   a->idiagvalid = PETSC_FALSE;
1941   if (fshift && a->diag) {
1942     ierr = PetscFree(a->diag);CHKERRQ(ierr);
1943     ierr = PetscLogObjectMemory(A,-(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
1944     a->diag = 0;
1945   }
1946   if (fshift && a->nounused == -1) {
1947     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);
1948   }
1949   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);
1950   ierr = PetscInfo1(A,"Number of mallocs during MatSetValues is %D\n",a->reallocs);CHKERRQ(ierr);
1951   ierr = PetscInfo1(A,"Most nonzeros blocks in any row is %D\n",rmax);CHKERRQ(ierr);
1952   a->reallocs          = 0;
1953   A->info.nz_unneeded  = (PetscReal)fshift*bs2;
1954 
1955   /* check for zero rows. If found a large number of zero rows, use CompressedRow functions */
1956   if (a->compressedrow.use){
1957     ierr = Mat_CheckCompressedRow(A,&a->compressedrow,a->i,mbs,ratio);CHKERRQ(ierr);
1958   }
1959 
1960   A->same_nonzero = PETSC_TRUE;
1961   PetscFunctionReturn(0);
1962 }
1963 
1964 /*
1965    This function returns an array of flags which indicate the locations of contiguous
1966    blocks that should be zeroed. for eg: if bs = 3  and is = [0,1,2,3,5,6,7,8,9]
1967    then the resulting sizes = [3,1,1,3,1] correspondig to sets [(0,1,2),(3),(5),(6,7,8),(9)]
1968    Assume: sizes should be long enough to hold all the values.
1969 */
1970 #undef __FUNCT__
1971 #define __FUNCT__ "MatZeroRows_SeqBAIJ_Check_Blocks"
1972 static PetscErrorCode MatZeroRows_SeqBAIJ_Check_Blocks(PetscInt idx[],PetscInt n,PetscInt bs,PetscInt sizes[], PetscInt *bs_max)
1973 {
1974   PetscInt   i,j,k,row;
1975   PetscTruth flg;
1976 
1977   PetscFunctionBegin;
1978   for (i=0,j=0; i<n; j++) {
1979     row = idx[i];
1980     if (row%bs!=0) { /* Not the begining of a block */
1981       sizes[j] = 1;
1982       i++;
1983     } else if (i+bs > n) { /* complete block doesn't exist (at idx end) */
1984       sizes[j] = 1;         /* Also makes sure atleast 'bs' values exist for next else */
1985       i++;
1986     } else { /* Begining of the block, so check if the complete block exists */
1987       flg = PETSC_TRUE;
1988       for (k=1; k<bs; k++) {
1989         if (row+k != idx[i+k]) { /* break in the block */
1990           flg = PETSC_FALSE;
1991           break;
1992         }
1993       }
1994       if (flg) { /* No break in the bs */
1995         sizes[j] = bs;
1996         i+= bs;
1997       } else {
1998         sizes[j] = 1;
1999         i++;
2000       }
2001     }
2002   }
2003   *bs_max = j;
2004   PetscFunctionReturn(0);
2005 }
2006 
2007 #undef __FUNCT__
2008 #define __FUNCT__ "MatZeroRows_SeqBAIJ"
2009 PetscErrorCode MatZeroRows_SeqBAIJ(Mat A,PetscInt is_n,const PetscInt is_idx[],PetscScalar diag)
2010 {
2011   Mat_SeqBAIJ    *baij=(Mat_SeqBAIJ*)A->data;
2012   PetscErrorCode ierr;
2013   PetscInt       i,j,k,count,*rows;
2014   PetscInt       bs=A->rmap->bs,bs2=baij->bs2,*sizes,row,bs_max;
2015   PetscScalar    zero = 0.0;
2016   MatScalar      *aa;
2017 
2018   PetscFunctionBegin;
2019   /* Make a copy of the IS and  sort it */
2020   /* allocate memory for rows,sizes */
2021   ierr  = PetscMalloc((3*is_n+1)*sizeof(PetscInt),&rows);CHKERRQ(ierr);
2022   sizes = rows + is_n;
2023 
2024   /* copy IS values to rows, and sort them */
2025   for (i=0; i<is_n; i++) { rows[i] = is_idx[i]; }
2026   ierr = PetscSortInt(is_n,rows);CHKERRQ(ierr);
2027   if (baij->keepnonzeropattern) {
2028     for (i=0; i<is_n; i++) { sizes[i] = 1; }
2029     bs_max = is_n;
2030     A->same_nonzero = PETSC_TRUE;
2031   } else {
2032     ierr = MatZeroRows_SeqBAIJ_Check_Blocks(rows,is_n,bs,sizes,&bs_max);CHKERRQ(ierr);
2033     A->same_nonzero = PETSC_FALSE;
2034   }
2035 
2036   for (i=0,j=0; i<bs_max; j+=sizes[i],i++) {
2037     row   = rows[j];
2038     if (row < 0 || row > A->rmap->N) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"row %D out of range",row);
2039     count = (baij->i[row/bs +1] - baij->i[row/bs])*bs;
2040     aa    = ((MatScalar*)(baij->a)) + baij->i[row/bs]*bs2 + (row%bs);
2041     if (sizes[i] == bs && !baij->keepnonzeropattern) {
2042       if (diag != 0.0) {
2043         if (baij->ilen[row/bs] > 0) {
2044           baij->ilen[row/bs]       = 1;
2045           baij->j[baij->i[row/bs]] = row/bs;
2046           ierr = PetscMemzero(aa,count*bs*sizeof(MatScalar));CHKERRQ(ierr);
2047         }
2048         /* Now insert all the diagonal values for this bs */
2049         for (k=0; k<bs; k++) {
2050           ierr = (*A->ops->setvalues)(A,1,rows+j+k,1,rows+j+k,&diag,INSERT_VALUES);CHKERRQ(ierr);
2051         }
2052       } else { /* (diag == 0.0) */
2053         baij->ilen[row/bs] = 0;
2054       } /* end (diag == 0.0) */
2055     } else { /* (sizes[i] != bs) */
2056 #if defined (PETSC_USE_DEBUG)
2057       if (sizes[i] != 1) SETERRQ(PETSC_ERR_PLIB,"Internal Error. Value should be 1");
2058 #endif
2059       for (k=0; k<count; k++) {
2060         aa[0] =  zero;
2061         aa    += bs;
2062       }
2063       if (diag != 0.0) {
2064         ierr = (*A->ops->setvalues)(A,1,rows+j,1,rows+j,&diag,INSERT_VALUES);CHKERRQ(ierr);
2065       }
2066     }
2067   }
2068 
2069   ierr = PetscFree(rows);CHKERRQ(ierr);
2070   ierr = MatAssemblyEnd_SeqBAIJ(A,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2071   PetscFunctionReturn(0);
2072 }
2073 
2074 #undef __FUNCT__
2075 #define __FUNCT__ "MatSetValues_SeqBAIJ"
2076 PetscErrorCode MatSetValues_SeqBAIJ(Mat A,PetscInt m,const PetscInt im[],PetscInt n,const PetscInt in[],const PetscScalar v[],InsertMode is)
2077 {
2078   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2079   PetscInt       *rp,k,low,high,t,ii,row,nrow,i,col,l,rmax,N,lastcol = -1;
2080   PetscInt       *imax=a->imax,*ai=a->i,*ailen=a->ilen;
2081   PetscInt       *aj=a->j,nonew=a->nonew,bs=A->rmap->bs,brow,bcol;
2082   PetscErrorCode ierr;
2083   PetscInt       ridx,cidx,bs2=a->bs2;
2084   PetscTruth     roworiented=a->roworiented;
2085   MatScalar      *ap,value,*aa=a->a,*bap;
2086 
2087   PetscFunctionBegin;
2088   for (k=0; k<m; k++) { /* loop over added rows */
2089     row  = im[k];
2090     brow = row/bs;
2091     if (row < 0) continue;
2092 #if defined(PETSC_USE_DEBUG)
2093     if (row >= A->rmap->N) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Row too large: row %D max %D",row,A->rmap->N-1);
2094 #endif
2095     rp   = aj + ai[brow];
2096     ap   = aa + bs2*ai[brow];
2097     rmax = imax[brow];
2098     nrow = ailen[brow];
2099     low  = 0;
2100     high = nrow;
2101     for (l=0; l<n; l++) { /* loop over added columns */
2102       if (in[l] < 0) continue;
2103 #if defined(PETSC_USE_DEBUG)
2104       if (in[l] >= A->cmap->n) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column too large: col %D max %D",in[l],A->cmap->n-1);
2105 #endif
2106       col = in[l]; bcol = col/bs;
2107       ridx = row % bs; cidx = col % bs;
2108       if (roworiented) {
2109         value = v[l + k*n];
2110       } else {
2111         value = v[k + l*m];
2112       }
2113       if (col <= lastcol) low = 0; else high = nrow;
2114       lastcol = col;
2115       while (high-low > 7) {
2116         t = (low+high)/2;
2117         if (rp[t] > bcol) high = t;
2118         else              low  = t;
2119       }
2120       for (i=low; i<high; i++) {
2121         if (rp[i] > bcol) break;
2122         if (rp[i] == bcol) {
2123           bap  = ap +  bs2*i + bs*cidx + ridx;
2124           if (is == ADD_VALUES) *bap += value;
2125           else                  *bap  = value;
2126           goto noinsert1;
2127         }
2128       }
2129       if (nonew == 1) goto noinsert1;
2130       if (nonew == -1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Inserting a new nonzero (%D, %D) in the matrix", row, col);
2131       MatSeqXAIJReallocateAIJ(A,a->mbs,bs2,nrow,brow,bcol,rmax,aa,ai,aj,rp,ap,imax,nonew,MatScalar);
2132       N = nrow++ - 1; high++;
2133       /* shift up all the later entries in this row */
2134       for (ii=N; ii>=i; ii--) {
2135         rp[ii+1] = rp[ii];
2136         ierr     = PetscMemcpy(ap+bs2*(ii+1),ap+bs2*(ii),bs2*sizeof(MatScalar));CHKERRQ(ierr);
2137       }
2138       if (N>=i) {
2139         ierr = PetscMemzero(ap+bs2*i,bs2*sizeof(MatScalar));CHKERRQ(ierr);
2140       }
2141       rp[i]                      = bcol;
2142       ap[bs2*i + bs*cidx + ridx] = value;
2143       a->nz++;
2144       noinsert1:;
2145       low = i;
2146     }
2147     ailen[brow] = nrow;
2148   }
2149   A->same_nonzero = PETSC_FALSE;
2150   PetscFunctionReturn(0);
2151 }
2152 
2153 EXTERN PetscErrorCode MatSeqBAIJSetNumericFactorization(Mat,PetscTruth);
2154 
2155 #undef __FUNCT__
2156 #define __FUNCT__ "MatILUFactor_SeqBAIJ"
2157 PetscErrorCode MatILUFactor_SeqBAIJ(Mat inA,IS row,IS col,const MatFactorInfo *info)
2158 {
2159   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)inA->data;
2160   Mat            outA;
2161   PetscErrorCode ierr;
2162   PetscTruth     row_identity,col_identity;
2163 
2164   PetscFunctionBegin;
2165   if (info->levels != 0) SETERRQ(PETSC_ERR_SUP,"Only levels = 0 supported for in-place ILU");
2166   ierr = ISIdentity(row,&row_identity);CHKERRQ(ierr);
2167   ierr = ISIdentity(col,&col_identity);CHKERRQ(ierr);
2168   if (!row_identity || !col_identity) {
2169     SETERRQ(PETSC_ERR_ARG_WRONG,"Row and column permutations must be identity for in-place ILU");
2170   }
2171 
2172   outA          = inA;
2173   inA->factor   = MAT_FACTOR_LU;
2174 
2175   ierr = MatMarkDiagonal_SeqBAIJ(inA);CHKERRQ(ierr);
2176 
2177   ierr = PetscObjectReference((PetscObject)row);CHKERRQ(ierr);
2178   if (a->row) { ierr = ISDestroy(a->row);CHKERRQ(ierr); }
2179   a->row = row;
2180   ierr = PetscObjectReference((PetscObject)col);CHKERRQ(ierr);
2181   if (a->col) { ierr = ISDestroy(a->col);CHKERRQ(ierr); }
2182   a->col = col;
2183 
2184   /* Create the invert permutation so that it can be used in MatLUFactorNumeric() */
2185   ierr = ISInvertPermutation(col,PETSC_DECIDE,&a->icol);CHKERRQ(ierr);
2186   ierr = PetscLogObjectParent(inA,a->icol);CHKERRQ(ierr);
2187 
2188   ierr = MatSeqBAIJSetNumericFactorization(inA,(PetscTruth)(row_identity && col_identity));CHKERRQ(ierr);
2189   if (!a->solve_work) {
2190     ierr = PetscMalloc((inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar),&a->solve_work);CHKERRQ(ierr);
2191     ierr = PetscLogObjectMemory(inA,(inA->rmap->N+inA->rmap->bs)*sizeof(PetscScalar));CHKERRQ(ierr);
2192   }
2193   ierr = MatLUFactorNumeric(outA,inA,info);CHKERRQ(ierr);
2194 
2195   PetscFunctionReturn(0);
2196 }
2197 
2198 EXTERN_C_BEGIN
2199 #undef __FUNCT__
2200 #define __FUNCT__ "MatSeqBAIJSetColumnIndices_SeqBAIJ"
2201 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetColumnIndices_SeqBAIJ(Mat mat,PetscInt *indices)
2202 {
2203   Mat_SeqBAIJ *baij = (Mat_SeqBAIJ *)mat->data;
2204   PetscInt    i,nz,mbs;
2205 
2206   PetscFunctionBegin;
2207   nz  = baij->maxnz/baij->bs2;
2208   mbs = baij->mbs;
2209   for (i=0; i<nz; i++) {
2210     baij->j[i] = indices[i];
2211   }
2212   baij->nz = nz;
2213   for (i=0; i<mbs; i++) {
2214     baij->ilen[i] = baij->imax[i];
2215   }
2216   PetscFunctionReturn(0);
2217 }
2218 EXTERN_C_END
2219 
2220 #undef __FUNCT__
2221 #define __FUNCT__ "MatSeqBAIJSetColumnIndices"
2222 /*@
2223     MatSeqBAIJSetColumnIndices - Set the column indices for all the rows
2224        in the matrix.
2225 
2226   Input Parameters:
2227 +  mat - the SeqBAIJ matrix
2228 -  indices - the column indices
2229 
2230   Level: advanced
2231 
2232   Notes:
2233     This can be called if you have precomputed the nonzero structure of the
2234   matrix and want to provide it to the matrix object to improve the performance
2235   of the MatSetValues() operation.
2236 
2237     You MUST have set the correct numbers of nonzeros per row in the call to
2238   MatCreateSeqBAIJ(), and the columns indices MUST be sorted.
2239 
2240     MUST be called before any calls to MatSetValues();
2241 
2242 @*/
2243 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetColumnIndices(Mat mat,PetscInt *indices)
2244 {
2245   PetscErrorCode ierr,(*f)(Mat,PetscInt *);
2246 
2247   PetscFunctionBegin;
2248   PetscValidHeaderSpecific(mat,MAT_COOKIE,1);
2249   PetscValidPointer(indices,2);
2250   ierr = PetscObjectQueryFunction((PetscObject)mat,"MatSeqBAIJSetColumnIndices_C",(void (**)(void))&f);CHKERRQ(ierr);
2251   if (f) {
2252     ierr = (*f)(mat,indices);CHKERRQ(ierr);
2253   } else {
2254     SETERRQ(PETSC_ERR_ARG_WRONG,"Wrong type of matrix to set column indices");
2255   }
2256   PetscFunctionReturn(0);
2257 }
2258 
2259 #undef __FUNCT__
2260 #define __FUNCT__ "MatGetRowMaxAbs_SeqBAIJ"
2261 PetscErrorCode MatGetRowMaxAbs_SeqBAIJ(Mat A,Vec v,PetscInt idx[])
2262 {
2263   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2264   PetscErrorCode ierr;
2265   PetscInt       i,j,n,row,bs,*ai,*aj,mbs;
2266   PetscReal      atmp;
2267   PetscScalar    *x,zero = 0.0;
2268   MatScalar      *aa;
2269   PetscInt       ncols,brow,krow,kcol;
2270 
2271   PetscFunctionBegin;
2272   if (A->factor) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Not for factored matrix");
2273   bs   = A->rmap->bs;
2274   aa   = a->a;
2275   ai   = a->i;
2276   aj   = a->j;
2277   mbs  = a->mbs;
2278 
2279   ierr = VecSet(v,zero);CHKERRQ(ierr);
2280   ierr = VecGetArray(v,&x);CHKERRQ(ierr);
2281   ierr = VecGetLocalSize(v,&n);CHKERRQ(ierr);
2282   if (n != A->rmap->N) SETERRQ(PETSC_ERR_ARG_SIZ,"Nonconforming matrix and vector");
2283   for (i=0; i<mbs; i++) {
2284     ncols = ai[1] - ai[0]; ai++;
2285     brow  = bs*i;
2286     for (j=0; j<ncols; j++){
2287       for (kcol=0; kcol<bs; kcol++){
2288         for (krow=0; krow<bs; krow++){
2289           atmp = PetscAbsScalar(*aa);aa++;
2290           row = brow + krow;    /* row index */
2291           /* printf("val[%d,%d]: %G\n",row,bcol+kcol,atmp); */
2292           if (PetscAbsScalar(x[row]) < atmp) {x[row] = atmp; if (idx) idx[row] = bs*(*aj) + kcol;}
2293         }
2294       }
2295       aj++;
2296     }
2297   }
2298   ierr = VecRestoreArray(v,&x);CHKERRQ(ierr);
2299   PetscFunctionReturn(0);
2300 }
2301 
2302 #undef __FUNCT__
2303 #define __FUNCT__ "MatCopy_SeqBAIJ"
2304 PetscErrorCode MatCopy_SeqBAIJ(Mat A,Mat B,MatStructure str)
2305 {
2306   PetscErrorCode ierr;
2307 
2308   PetscFunctionBegin;
2309   /* If the two matrices have the same copy implementation, use fast copy. */
2310   if (str == SAME_NONZERO_PATTERN && (A->ops->copy == B->ops->copy)) {
2311     Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2312     Mat_SeqBAIJ *b = (Mat_SeqBAIJ*)B->data;
2313 
2314     if (a->i[A->rmap->N] != b->i[B->rmap->N]) {
2315       SETERRQ(PETSC_ERR_ARG_INCOMP,"Number of nonzeros in two matrices are different");
2316     }
2317     ierr = PetscMemcpy(b->a,a->a,(a->i[A->rmap->N])*sizeof(PetscScalar));CHKERRQ(ierr);
2318   } else {
2319     ierr = MatCopy_Basic(A,B,str);CHKERRQ(ierr);
2320   }
2321   PetscFunctionReturn(0);
2322 }
2323 
2324 #undef __FUNCT__
2325 #define __FUNCT__ "MatSetUpPreallocation_SeqBAIJ"
2326 PetscErrorCode MatSetUpPreallocation_SeqBAIJ(Mat A)
2327 {
2328   PetscErrorCode ierr;
2329 
2330   PetscFunctionBegin;
2331   ierr =  MatSeqBAIJSetPreallocation_SeqBAIJ(A,-PetscMax(A->rmap->bs,1),PETSC_DEFAULT,0);CHKERRQ(ierr);
2332   PetscFunctionReturn(0);
2333 }
2334 
2335 #undef __FUNCT__
2336 #define __FUNCT__ "MatGetArray_SeqBAIJ"
2337 PetscErrorCode MatGetArray_SeqBAIJ(Mat A,PetscScalar *array[])
2338 {
2339   Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
2340   PetscFunctionBegin;
2341   *array = a->a;
2342   PetscFunctionReturn(0);
2343 }
2344 
2345 #undef __FUNCT__
2346 #define __FUNCT__ "MatRestoreArray_SeqBAIJ"
2347 PetscErrorCode MatRestoreArray_SeqBAIJ(Mat A,PetscScalar *array[])
2348 {
2349   PetscFunctionBegin;
2350   PetscFunctionReturn(0);
2351 }
2352 
2353 #include "petscblaslapack.h"
2354 #undef __FUNCT__
2355 #define __FUNCT__ "MatAXPY_SeqBAIJ"
2356 PetscErrorCode MatAXPY_SeqBAIJ(Mat Y,PetscScalar a,Mat X,MatStructure str)
2357 {
2358   Mat_SeqBAIJ    *x  = (Mat_SeqBAIJ *)X->data,*y = (Mat_SeqBAIJ *)Y->data;
2359   PetscErrorCode ierr;
2360   PetscInt       i,bs=Y->rmap->bs,j,bs2;
2361   PetscBLASInt   one=1,bnz = PetscBLASIntCast(x->nz);
2362 
2363   PetscFunctionBegin;
2364   if (str == SAME_NONZERO_PATTERN) {
2365     PetscScalar alpha = a;
2366     BLASaxpy_(&bnz,&alpha,x->a,&one,y->a,&one);
2367   } else if (str == SUBSET_NONZERO_PATTERN) { /* nonzeros of X is a subset of Y's */
2368     if (y->xtoy && y->XtoY != X) {
2369       ierr = PetscFree(y->xtoy);CHKERRQ(ierr);
2370       ierr = MatDestroy(y->XtoY);CHKERRQ(ierr);
2371     }
2372     if (!y->xtoy) { /* get xtoy */
2373       ierr = MatAXPYGetxtoy_Private(x->mbs,x->i,x->j,PETSC_NULL, y->i,y->j,PETSC_NULL, &y->xtoy);CHKERRQ(ierr);
2374       y->XtoY = X;
2375       ierr = PetscObjectReference((PetscObject)X);CHKERRQ(ierr);
2376     }
2377     bs2 = bs*bs;
2378     for (i=0; i<x->nz; i++) {
2379       j = 0;
2380       while (j < bs2){
2381         y->a[bs2*y->xtoy[i]+j] += a*(x->a[bs2*i+j]);
2382         j++;
2383       }
2384     }
2385     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);
2386   } else {
2387     ierr = MatAXPY_Basic(Y,a,X,str);CHKERRQ(ierr);
2388   }
2389   PetscFunctionReturn(0);
2390 }
2391 
2392 #undef __FUNCT__
2393 #define __FUNCT__ "MatRealPart_SeqBAIJ"
2394 PetscErrorCode MatRealPart_SeqBAIJ(Mat A)
2395 {
2396   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2397   PetscInt       i,nz = a->bs2*a->i[a->mbs];
2398   MatScalar      *aa = a->a;
2399 
2400   PetscFunctionBegin;
2401   for (i=0; i<nz; i++) aa[i] = PetscRealPart(aa[i]);
2402   PetscFunctionReturn(0);
2403 }
2404 
2405 #undef __FUNCT__
2406 #define __FUNCT__ "MatImaginaryPart_SeqBAIJ"
2407 PetscErrorCode MatImaginaryPart_SeqBAIJ(Mat A)
2408 {
2409   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2410   PetscInt       i,nz = a->bs2*a->i[a->mbs];
2411   MatScalar      *aa = a->a;
2412 
2413   PetscFunctionBegin;
2414   for (i=0; i<nz; i++) aa[i] = PetscImaginaryPart(aa[i]);
2415   PetscFunctionReturn(0);
2416 }
2417 
2418 extern PetscErrorCode MatFDColoringCreate_SeqAIJ(Mat,ISColoring,MatFDColoring);
2419 
2420 #undef __FUNCT__
2421 #define __FUNCT__ "MatGetColumnIJ_SeqBAIJ"
2422 /*
2423     Code almost idential to MatGetColumnIJ_SeqAIJ() should share common code
2424 */
2425 PetscErrorCode MatGetColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *nn,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
2426 {
2427   Mat_SeqBAIJ    *a = (Mat_SeqBAIJ*)A->data;
2428   PetscErrorCode ierr;
2429   PetscInt       bs = A->rmap->bs,i,*collengths,*cia,*cja,n = A->cmap->n/bs,m = A->rmap->n/bs;
2430   PetscInt       nz = a->i[m],row,*jj,mr,col;
2431 
2432   PetscFunctionBegin;
2433   *nn = n;
2434   if (!ia) PetscFunctionReturn(0);
2435   if (symmetric) {
2436     SETERRQ(PETSC_ERR_SUP,"Not for BAIJ matrices");
2437   } else {
2438     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&collengths);CHKERRQ(ierr);
2439     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
2440     ierr = PetscMalloc((n+1)*sizeof(PetscInt),&cia);CHKERRQ(ierr);
2441     ierr = PetscMalloc((nz+1)*sizeof(PetscInt),&cja);CHKERRQ(ierr);
2442     jj = a->j;
2443     for (i=0; i<nz; i++) {
2444       collengths[jj[i]]++;
2445     }
2446     cia[0] = oshift;
2447     for (i=0; i<n; i++) {
2448       cia[i+1] = cia[i] + collengths[i];
2449     }
2450     ierr = PetscMemzero(collengths,n*sizeof(PetscInt));CHKERRQ(ierr);
2451     jj   = a->j;
2452     for (row=0; row<m; row++) {
2453       mr = a->i[row+1] - a->i[row];
2454       for (i=0; i<mr; i++) {
2455         col = *jj++;
2456         cja[cia[col] + collengths[col]++ - oshift] = row + oshift;
2457       }
2458     }
2459     ierr = PetscFree(collengths);CHKERRQ(ierr);
2460     *ia = cia; *ja = cja;
2461   }
2462   PetscFunctionReturn(0);
2463 }
2464 
2465 #undef __FUNCT__
2466 #define __FUNCT__ "MatRestoreColumnIJ_SeqBAIJ"
2467 PetscErrorCode MatRestoreColumnIJ_SeqBAIJ(Mat A,PetscInt oshift,PetscTruth symmetric,PetscTruth inodecompressed,PetscInt *n,PetscInt *ia[],PetscInt *ja[],PetscTruth *done)
2468 {
2469   PetscErrorCode ierr;
2470 
2471   PetscFunctionBegin;
2472   if (!ia) PetscFunctionReturn(0);
2473   ierr = PetscFree(*ia);CHKERRQ(ierr);
2474   ierr = PetscFree(*ja);CHKERRQ(ierr);
2475   PetscFunctionReturn(0);
2476 }
2477 
2478 #undef __FUNCT__
2479 #define __FUNCT__ "MatFDColoringApply_BAIJ"
2480 PetscErrorCode PETSCMAT_DLLEXPORT MatFDColoringApply_BAIJ(Mat J,MatFDColoring coloring,Vec x1,MatStructure *flag,void *sctx)
2481 {
2482   PetscErrorCode (*f)(void*,Vec,Vec,void*) = (PetscErrorCode (*)(void*,Vec,Vec,void *))coloring->f;
2483   PetscErrorCode ierr;
2484   PetscInt       bs = J->rmap->bs,i,j,k,start,end,l,row,col,*srows,**vscaleforrow,m1,m2;
2485   PetscScalar    dx,*y,*xx,*w3_array;
2486   PetscScalar    *vscale_array;
2487   PetscReal      epsilon = coloring->error_rel,umin = coloring->umin,unorm;
2488   Vec            w1=coloring->w1,w2=coloring->w2,w3;
2489   void           *fctx = coloring->fctx;
2490   PetscTruth     flg = PETSC_FALSE;
2491   PetscInt       ctype=coloring->ctype,N,col_start=0,col_end=0;
2492   Vec            x1_tmp;
2493 
2494   PetscFunctionBegin;
2495   PetscValidHeaderSpecific(J,MAT_COOKIE,1);
2496   PetscValidHeaderSpecific(coloring,MAT_FDCOLORING_COOKIE,2);
2497   PetscValidHeaderSpecific(x1,VEC_COOKIE,3);
2498   if (!f) SETERRQ(PETSC_ERR_ARG_WRONGSTATE,"Must call MatFDColoringSetFunction()");
2499 
2500   ierr = PetscLogEventBegin(MAT_FDColoringApply,coloring,J,x1,0);CHKERRQ(ierr);
2501   ierr = MatSetUnfactored(J);CHKERRQ(ierr);
2502   ierr = PetscOptionsGetTruth(PETSC_NULL,"-mat_fd_coloring_dont_rezero",&flg,PETSC_NULL);CHKERRQ(ierr);
2503   if (flg) {
2504     ierr = PetscInfo(coloring,"Not calling MatZeroEntries()\n");CHKERRQ(ierr);
2505   } else {
2506     PetscTruth assembled;
2507     ierr = MatAssembled(J,&assembled);CHKERRQ(ierr);
2508     if (assembled) {
2509       ierr = MatZeroEntries(J);CHKERRQ(ierr);
2510     }
2511   }
2512 
2513   x1_tmp = x1;
2514   if (!coloring->vscale){
2515     ierr = VecDuplicate(x1_tmp,&coloring->vscale);CHKERRQ(ierr);
2516   }
2517 
2518   /*
2519     This is a horrible, horrible, hack. See DMMGComputeJacobian_Multigrid() it inproperly sets
2520     coloring->F for the coarser grids from the finest
2521   */
2522   if (coloring->F) {
2523     ierr = VecGetLocalSize(coloring->F,&m1);CHKERRQ(ierr);
2524     ierr = VecGetLocalSize(w1,&m2);CHKERRQ(ierr);
2525     if (m1 != m2) {
2526       coloring->F = 0;
2527       }
2528     }
2529 
2530   if (coloring->htype[0] == 'w') { /* tacky test; need to make systematic if we add other approaches to computing h*/
2531     ierr = VecNorm(x1_tmp,NORM_2,&unorm);CHKERRQ(ierr);
2532   }
2533   ierr = VecGetOwnershipRange(w1,&start,&end);CHKERRQ(ierr); /* OwnershipRange is used by ghosted x! */
2534 
2535   /* Set w1 = F(x1) */
2536   if (coloring->F) {
2537     w1          = coloring->F; /* use already computed value of function */
2538     coloring->F = 0;
2539   } else {
2540     ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2541     ierr = (*f)(sctx,x1_tmp,w1,fctx);CHKERRQ(ierr);
2542     ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2543   }
2544 
2545   if (!coloring->w3) {
2546     ierr = VecDuplicate(x1_tmp,&coloring->w3);CHKERRQ(ierr);
2547     ierr = PetscLogObjectParent(coloring,coloring->w3);CHKERRQ(ierr);
2548   }
2549   w3 = coloring->w3;
2550 
2551     CHKMEMQ;
2552     /* Compute all the local scale factors, including ghost points */
2553   ierr = VecGetLocalSize(x1_tmp,&N);CHKERRQ(ierr);
2554   ierr = VecGetArray(x1_tmp,&xx);CHKERRQ(ierr);
2555   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2556   if (ctype == IS_COLORING_GHOSTED){
2557     col_start = 0; col_end = N;
2558   } else if (ctype == IS_COLORING_GLOBAL){
2559     xx = xx - start;
2560     vscale_array = vscale_array - start;
2561     col_start = start; col_end = N + start;
2562   }    CHKMEMQ;
2563   for (col=col_start; col<col_end; col++){
2564     /* Loop over each local column, vscale[col] = 1./(epsilon*dx[col]) */
2565     if (coloring->htype[0] == 'w') {
2566       dx = 1.0 + unorm;
2567     } else {
2568       dx  = xx[col];
2569     }
2570     if (dx == 0.0) dx = 1.0;
2571 #if !defined(PETSC_USE_COMPLEX)
2572     if (dx < umin && dx >= 0.0)      dx = umin;
2573     else if (dx < 0.0 && dx > -umin) dx = -umin;
2574 #else
2575     if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2576     else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2577 #endif
2578     dx               *= epsilon;
2579     vscale_array[col] = 1.0/dx;
2580   }     CHKMEMQ;
2581   if (ctype == IS_COLORING_GLOBAL)  vscale_array = vscale_array + start;
2582   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2583   if (ctype == IS_COLORING_GLOBAL){
2584     ierr = VecGhostUpdateBegin(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2585     ierr = VecGhostUpdateEnd(coloring->vscale,INSERT_VALUES,SCATTER_FORWARD);CHKERRQ(ierr);
2586   }
2587         CHKMEMQ;
2588   if (coloring->vscaleforrow) {
2589     vscaleforrow = coloring->vscaleforrow;
2590   } else {
2591     SETERRQ(PETSC_ERR_ARG_NULL,"Null Object: coloring->vscaleforrow");
2592   }
2593 
2594 
2595   ierr = PetscMalloc(bs*sizeof(PetscInt),&srows);CHKERRQ(ierr);
2596   /*
2597     Loop over each color
2598   */
2599   ierr = VecGetArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2600   for (k=0; k<coloring->ncolors; k++) {
2601     coloring->currentcolor = k;
2602     for (i=0; i<bs; i++) {
2603       ierr = VecCopy(x1_tmp,w3);CHKERRQ(ierr);
2604       ierr = VecGetArray(w3,&w3_array);CHKERRQ(ierr);
2605       if (ctype == IS_COLORING_GLOBAL) w3_array = w3_array - start;
2606       /*
2607 	Loop over each column associated with color
2608 	adding the perturbation to the vector w3.
2609       */
2610       for (l=0; l<coloring->ncolumns[k]; l++) {
2611 	col = i + bs*coloring->columns[k][l];    /* local column of the matrix we are probing for */
2612 	if (coloring->htype[0] == 'w') {
2613 	  dx = 1.0 + unorm;
2614 	} else {
2615 	  dx  = xx[col];
2616 	}
2617 	if (dx == 0.0) dx = 1.0;
2618 #if !defined(PETSC_USE_COMPLEX)
2619 	if (dx < umin && dx >= 0.0)      dx = umin;
2620 	else if (dx < 0.0 && dx > -umin) dx = -umin;
2621 #else
2622 	if (PetscAbsScalar(dx) < umin && PetscRealPart(dx) >= 0.0)     dx = umin;
2623 	else if (PetscRealPart(dx) < 0.0 && PetscAbsScalar(dx) < umin) dx = -umin;
2624 #endif
2625 	dx            *= epsilon;
2626 	if (!PetscAbsScalar(dx)) SETERRQ(PETSC_ERR_PLIB,"Computed 0 differencing parameter");
2627 	w3_array[col] += dx;
2628       }
2629       if (ctype == IS_COLORING_GLOBAL) w3_array = w3_array + start;
2630       ierr = VecRestoreArray(w3,&w3_array);CHKERRQ(ierr);
2631 
2632       /*
2633 	Evaluate function at w3 = x1 + dx (here dx is a vector of perturbations)
2634 	w2 = F(x1 + dx) - F(x1)
2635       */
2636       ierr = PetscLogEventBegin(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2637       ierr = (*f)(sctx,w3,w2,fctx);CHKERRQ(ierr);
2638       ierr = PetscLogEventEnd(MAT_FDColoringFunction,0,0,0,0);CHKERRQ(ierr);
2639       ierr = VecAXPY(w2,-1.0,w1);CHKERRQ(ierr);
2640 
2641       /*
2642 	Loop over rows of vector, putting results into Jacobian matrix
2643       */
2644       ierr = VecGetArray(w2,&y);CHKERRQ(ierr);
2645       for (l=0; l<coloring->nrows[k]; l++) {
2646 	row    = bs*coloring->rows[k][l];             /* local row index */
2647 	col    = i + bs*coloring->columnsforrow[k][l];    /* global column index */
2648         for (j=0; j<bs; j++) {
2649   	  y[row+j] *= vscale_array[j+bs*vscaleforrow[k][l]];
2650           srows[j]  = row + start + j;
2651         }
2652 	ierr   = MatSetValues(J,bs,srows,1,&col,y+row,INSERT_VALUES);CHKERRQ(ierr);
2653       }
2654       ierr = VecRestoreArray(w2,&y);CHKERRQ(ierr);
2655     }
2656   } /* endof for each color */
2657   if (ctype == IS_COLORING_GLOBAL) xx = xx + start;
2658   ierr = VecRestoreArray(coloring->vscale,&vscale_array);CHKERRQ(ierr);
2659   ierr = VecRestoreArray(x1_tmp,&xx);CHKERRQ(ierr);
2660   ierr = PetscFree(srows);CHKERRQ(ierr);
2661 
2662   coloring->currentcolor = -1;
2663   ierr  = MatAssemblyBegin(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2664   ierr  = MatAssemblyEnd(J,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
2665   ierr = PetscLogEventEnd(MAT_FDColoringApply,coloring,J,x1,0);CHKERRQ(ierr);
2666   PetscFunctionReturn(0);
2667 }
2668 
2669 /* -------------------------------------------------------------------*/
2670 static struct _MatOps MatOps_Values = {MatSetValues_SeqBAIJ,
2671        MatGetRow_SeqBAIJ,
2672        MatRestoreRow_SeqBAIJ,
2673        MatMult_SeqBAIJ_N,
2674 /* 4*/ MatMultAdd_SeqBAIJ_N,
2675        MatMultTranspose_SeqBAIJ,
2676        MatMultTransposeAdd_SeqBAIJ,
2677        0,
2678        0,
2679        0,
2680 /*10*/ 0,
2681        MatLUFactor_SeqBAIJ,
2682        0,
2683        0,
2684        MatTranspose_SeqBAIJ,
2685 /*15*/ MatGetInfo_SeqBAIJ,
2686        MatEqual_SeqBAIJ,
2687        MatGetDiagonal_SeqBAIJ,
2688        MatDiagonalScale_SeqBAIJ,
2689        MatNorm_SeqBAIJ,
2690 /*20*/ 0,
2691        MatAssemblyEnd_SeqBAIJ,
2692        MatSetOption_SeqBAIJ,
2693        MatZeroEntries_SeqBAIJ,
2694 /*24*/ MatZeroRows_SeqBAIJ,
2695        0,
2696        0,
2697        0,
2698        0,
2699 /*29*/ MatSetUpPreallocation_SeqBAIJ,
2700        0,
2701        0,
2702        MatGetArray_SeqBAIJ,
2703        MatRestoreArray_SeqBAIJ,
2704 /*34*/ MatDuplicate_SeqBAIJ,
2705        0,
2706        0,
2707        MatILUFactor_SeqBAIJ,
2708        0,
2709 /*39*/ MatAXPY_SeqBAIJ,
2710        MatGetSubMatrices_SeqBAIJ,
2711        MatIncreaseOverlap_SeqBAIJ,
2712        MatGetValues_SeqBAIJ,
2713        MatCopy_SeqBAIJ,
2714 /*44*/ 0,
2715        MatScale_SeqBAIJ,
2716        0,
2717        0,
2718        MatILUDTFactor_SeqBAIJ,
2719 /*49*/ 0,
2720        MatGetRowIJ_SeqBAIJ,
2721        MatRestoreRowIJ_SeqBAIJ,
2722        MatGetColumnIJ_SeqBAIJ,
2723        MatRestoreColumnIJ_SeqBAIJ,
2724 /*54*/ MatFDColoringCreate_SeqAIJ,
2725        0,
2726        0,
2727        0,
2728        MatSetValuesBlocked_SeqBAIJ,
2729 /*59*/ MatGetSubMatrix_SeqBAIJ,
2730        MatDestroy_SeqBAIJ,
2731        MatView_SeqBAIJ,
2732        0,
2733        0,
2734 /*64*/ 0,
2735        0,
2736        0,
2737        0,
2738        0,
2739 /*69*/ MatGetRowMaxAbs_SeqBAIJ,
2740        0,
2741        MatConvert_Basic,
2742        0,
2743        0,
2744 /*74*/ 0,
2745        MatFDColoringApply_BAIJ,
2746        0,
2747        0,
2748        0,
2749 /*79*/ 0,
2750        0,
2751        0,
2752        0,
2753        MatLoad_SeqBAIJ,
2754 /*84*/ 0,
2755        0,
2756        0,
2757        0,
2758        0,
2759 /*89*/ 0,
2760        0,
2761        0,
2762        0,
2763        0,
2764 /*94*/ 0,
2765        0,
2766        0,
2767        0,
2768        0,
2769 /*99*/0,
2770        0,
2771        0,
2772        0,
2773        0,
2774 /*104*/0,
2775        MatRealPart_SeqBAIJ,
2776        MatImaginaryPart_SeqBAIJ,
2777        0,
2778        0,
2779 /*109*/0,
2780        0,
2781        0,
2782        0,
2783        MatMissingDiagonal_SeqBAIJ
2784 /*114*/
2785 };
2786 
2787 EXTERN_C_BEGIN
2788 #undef __FUNCT__
2789 #define __FUNCT__ "MatStoreValues_SeqBAIJ"
2790 PetscErrorCode PETSCMAT_DLLEXPORT MatStoreValues_SeqBAIJ(Mat mat)
2791 {
2792   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ *)mat->data;
2793   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
2794   PetscErrorCode ierr;
2795 
2796   PetscFunctionBegin;
2797   if (aij->nonew != 1) {
2798     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2799   }
2800 
2801   /* allocate space for values if not already there */
2802   if (!aij->saved_values) {
2803     ierr = PetscMalloc((nz+1)*sizeof(PetscScalar),&aij->saved_values);CHKERRQ(ierr);
2804     ierr = PetscLogObjectMemory(mat,(nz+1)*sizeof(PetscScalar));CHKERRQ(ierr);
2805   }
2806 
2807   /* copy values over */
2808   ierr = PetscMemcpy(aij->saved_values,aij->a,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2809   PetscFunctionReturn(0);
2810 }
2811 EXTERN_C_END
2812 
2813 EXTERN_C_BEGIN
2814 #undef __FUNCT__
2815 #define __FUNCT__ "MatRetrieveValues_SeqBAIJ"
2816 PetscErrorCode PETSCMAT_DLLEXPORT MatRetrieveValues_SeqBAIJ(Mat mat)
2817 {
2818   Mat_SeqBAIJ    *aij = (Mat_SeqBAIJ *)mat->data;
2819   PetscErrorCode ierr;
2820   PetscInt       nz = aij->i[mat->rmap->N]*mat->rmap->bs*aij->bs2;
2821 
2822   PetscFunctionBegin;
2823   if (aij->nonew != 1) {
2824     SETERRQ(PETSC_ERR_ORDER,"Must call MatSetOption(A,MAT_NEW_NONZERO_LOCATIONS,PETSC_FALSE);first");
2825   }
2826   if (!aij->saved_values) {
2827     SETERRQ(PETSC_ERR_ORDER,"Must call MatStoreValues(A);first");
2828   }
2829 
2830   /* copy values over */
2831   ierr = PetscMemcpy(aij->a,aij->saved_values,nz*sizeof(PetscScalar));CHKERRQ(ierr);
2832   PetscFunctionReturn(0);
2833 }
2834 EXTERN_C_END
2835 
2836 EXTERN_C_BEGIN
2837 extern PetscErrorCode PETSCMAT_DLLEXPORT MatConvert_SeqBAIJ_SeqAIJ(Mat, MatType,MatReuse,Mat*);
2838 extern PetscErrorCode PETSCMAT_DLLEXPORT MatConvert_SeqBAIJ_SeqSBAIJ(Mat, MatType,MatReuse,Mat*);
2839 EXTERN_C_END
2840 
2841 EXTERN_C_BEGIN
2842 #undef __FUNCT__
2843 #define __FUNCT__ "MatSeqBAIJSetPreallocation_SeqBAIJ"
2844 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocation_SeqBAIJ(Mat B,PetscInt bs,PetscInt nz,PetscInt *nnz)
2845 {
2846   Mat_SeqBAIJ    *b;
2847   PetscErrorCode ierr;
2848   PetscInt       i,mbs,nbs,bs2,newbs = PetscAbs(bs);
2849   PetscTruth     flg,skipallocation = PETSC_FALSE;
2850 
2851   PetscFunctionBegin;
2852 
2853   if (nz == MAT_SKIP_ALLOCATION) {
2854     skipallocation = PETSC_TRUE;
2855     nz             = 0;
2856   }
2857 
2858   if (bs < 0) {
2859     ierr = PetscOptionsBegin(((PetscObject)B)->comm,((PetscObject)B)->prefix,"Block options for SEQBAIJ matrix 1","Mat");CHKERRQ(ierr);
2860       ierr = PetscOptionsInt("-mat_block_size","Set the blocksize used to store the matrix","MatSeqBAIJSetPreallocation",newbs,&newbs,PETSC_NULL);CHKERRQ(ierr);
2861     ierr = PetscOptionsEnd();CHKERRQ(ierr);
2862     bs   = PetscAbs(bs);
2863   }
2864   if (nnz && newbs != bs) {
2865     SETERRQ(PETSC_ERR_ARG_WRONG,"Cannot change blocksize from command line if setting nnz");
2866   }
2867   bs   = newbs;
2868 
2869   ierr = PetscMapSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
2870   ierr = PetscMapSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
2871   ierr = PetscMapSetUp(B->rmap);CHKERRQ(ierr);
2872   ierr = PetscMapSetUp(B->cmap);CHKERRQ(ierr);
2873 
2874   B->preallocated = PETSC_TRUE;
2875 
2876   mbs  = B->rmap->n/bs;
2877   nbs  = B->cmap->n/bs;
2878   bs2  = bs*bs;
2879 
2880   if (mbs*bs!=B->rmap->n || nbs*bs!=B->cmap->n) {
2881     SETERRQ3(PETSC_ERR_ARG_SIZ,"Number rows %D, cols %D must be divisible by blocksize %D",B->rmap->N,B->cmap->n,bs);
2882   }
2883 
2884   if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2885   if (nz < 0) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"nz cannot be less than 0: value %D",nz);
2886   if (nnz) {
2887     for (i=0; i<mbs; i++) {
2888       if (nnz[i] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"nnz cannot be less than 0: local row %D value %D",i,nnz[i]);
2889       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);
2890     }
2891   }
2892 
2893   b       = (Mat_SeqBAIJ*)B->data;
2894   ierr = PetscOptionsBegin(((PetscObject)B)->comm,PETSC_NULL,"Optimize options for SEQBAIJ matrix 2 ","Mat");CHKERRQ(ierr);
2895     ierr = PetscOptionsTruth("-mat_no_unroll","Do not optimize for block size (slow)",PETSC_NULL,PETSC_FALSE,&flg,PETSC_NULL);CHKERRQ(ierr);
2896   ierr = PetscOptionsEnd();CHKERRQ(ierr);
2897 
2898   if (!flg) {
2899     switch (bs) {
2900     case 1:
2901       B->ops->mult            = MatMult_SeqBAIJ_1;
2902       B->ops->multadd         = MatMultAdd_SeqBAIJ_1;
2903       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_1;
2904       break;
2905     case 2:
2906       B->ops->mult            = MatMult_SeqBAIJ_2;
2907       B->ops->multadd         = MatMultAdd_SeqBAIJ_2;
2908       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_2;
2909       break;
2910     case 3:
2911       B->ops->mult            = MatMult_SeqBAIJ_3;
2912       B->ops->multadd         = MatMultAdd_SeqBAIJ_3;
2913       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_3;
2914       break;
2915     case 4:
2916       B->ops->mult            = MatMult_SeqBAIJ_4;
2917       B->ops->multadd         = MatMultAdd_SeqBAIJ_4;
2918       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_4;
2919       break;
2920     case 5:
2921       B->ops->mult            = MatMult_SeqBAIJ_5;
2922       B->ops->multadd         = MatMultAdd_SeqBAIJ_5;
2923       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_5;
2924       break;
2925     case 6:
2926       B->ops->mult            = MatMult_SeqBAIJ_6;
2927       B->ops->multadd         = MatMultAdd_SeqBAIJ_6;
2928       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_6;
2929       break;
2930     case 7:
2931       B->ops->mult            = MatMult_SeqBAIJ_7;
2932       B->ops->multadd         = MatMultAdd_SeqBAIJ_7;
2933       B->ops->pbrelax         = MatPBRelax_SeqBAIJ_7;
2934       break;
2935     default:
2936       B->ops->mult            = MatMult_SeqBAIJ_N;
2937       B->ops->multadd         = MatMultAdd_SeqBAIJ_N;
2938       break;
2939     }
2940   }
2941   B->rmap->bs      = bs;
2942   b->mbs     = mbs;
2943   b->nbs     = nbs;
2944   if (!skipallocation) {
2945     if (!b->imax) {
2946       ierr = PetscMalloc2(mbs,PetscInt,&b->imax,mbs,PetscInt,&b->ilen);CHKERRQ(ierr);
2947       ierr = PetscLogObjectMemory(B,2*mbs*sizeof(PetscInt));
2948       b->free_imax_ilen = PETSC_TRUE;
2949     }
2950     /* b->ilen will count nonzeros in each block row so far. */
2951     for (i=0; i<mbs; i++) { b->ilen[i] = 0;}
2952     if (!nnz) {
2953       if (nz == PETSC_DEFAULT || nz == PETSC_DECIDE) nz = 5;
2954       else if (nz <= 0)        nz = 1;
2955       for (i=0; i<mbs; i++) b->imax[i] = nz;
2956       nz = nz*mbs;
2957     } else {
2958       nz = 0;
2959       for (i=0; i<mbs; i++) {b->imax[i] = nnz[i]; nz += nnz[i];}
2960     }
2961 
2962     /* allocate the matrix space */
2963     ierr = MatSeqXAIJFreeAIJ(B,&b->a,&b->j,&b->i);CHKERRQ(ierr);
2964     ierr = PetscMalloc3(bs2*nz,PetscScalar,&b->a,nz,PetscInt,&b->j,B->rmap->N+1,PetscInt,&b->i);CHKERRQ(ierr);
2965     ierr = PetscLogObjectMemory(B,(B->rmap->N+1)*sizeof(PetscInt)+nz*(bs2*sizeof(PetscScalar)+sizeof(PetscInt)));CHKERRQ(ierr);
2966     ierr  = PetscMemzero(b->a,nz*bs2*sizeof(MatScalar));CHKERRQ(ierr);
2967     ierr  = PetscMemzero(b->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
2968     b->singlemalloc = PETSC_TRUE;
2969     b->i[0] = 0;
2970     for (i=1; i<mbs+1; i++) {
2971       b->i[i] = b->i[i-1] + b->imax[i-1];
2972     }
2973     b->free_a     = PETSC_TRUE;
2974     b->free_ij    = PETSC_TRUE;
2975   } else {
2976     b->free_a     = PETSC_FALSE;
2977     b->free_ij    = PETSC_FALSE;
2978   }
2979 
2980   B->rmap->bs          = bs;
2981   b->bs2              = bs2;
2982   b->mbs              = mbs;
2983   b->nz               = 0;
2984   b->maxnz            = nz*bs2;
2985   B->info.nz_unneeded = (PetscReal)b->maxnz;
2986   PetscFunctionReturn(0);
2987 }
2988 EXTERN_C_END
2989 
2990 EXTERN_C_BEGIN
2991 #undef __FUNCT__
2992 #define __FUNCT__ "MatSeqBAIJSetPreallocationCSR_SeqBAIJ"
2993 PetscErrorCode MatSeqBAIJSetPreallocationCSR_SeqBAIJ(Mat B,PetscInt bs,const PetscInt ii[],const PetscInt jj[],const PetscScalar V[])
2994 {
2995   PetscInt       i,m,nz,nz_max=0,*nnz;
2996   PetscScalar    *values=0;
2997   PetscErrorCode ierr;
2998 
2999   PetscFunctionBegin;
3000 
3001   if (bs < 1) SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE,"Invalid block size specified, must be positive but it is %D",bs);
3002 
3003   ierr = PetscMapSetBlockSize(B->rmap,bs);CHKERRQ(ierr);
3004   ierr = PetscMapSetBlockSize(B->cmap,bs);CHKERRQ(ierr);
3005   ierr = PetscMapSetUp(B->rmap);CHKERRQ(ierr);
3006   ierr = PetscMapSetUp(B->cmap);CHKERRQ(ierr);
3007   m = B->rmap->n/bs;
3008 
3009   if (ii[0] != 0) { SETERRQ1(PETSC_ERR_ARG_OUTOFRANGE, "ii[0] must be 0 but it is %D",ii[0]); }
3010   ierr = PetscMalloc((m+1) * sizeof(PetscInt), &nnz);CHKERRQ(ierr);
3011   for(i=0; i<m; i++) {
3012     nz = ii[i+1]- ii[i];
3013     if (nz < 0) { SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE, "Local row %D has a negative number of columns %D",i,nz); }
3014     nz_max = PetscMax(nz_max, nz);
3015     nnz[i] = nz;
3016   }
3017   ierr = MatSeqBAIJSetPreallocation(B,bs,0,nnz);CHKERRQ(ierr);
3018   ierr = PetscFree(nnz);CHKERRQ(ierr);
3019 
3020   values = (PetscScalar*)V;
3021   if (!values) {
3022     ierr = PetscMalloc(bs*bs*(nz_max+1)*sizeof(PetscScalar),&values);CHKERRQ(ierr);
3023     ierr = PetscMemzero(values,bs*bs*nz_max*sizeof(PetscScalar));CHKERRQ(ierr);
3024   }
3025   for (i=0; i<m; i++) {
3026     PetscInt          ncols  = ii[i+1] - ii[i];
3027     const PetscInt    *icols = jj + ii[i];
3028     const PetscScalar *svals = values + (V ? (bs*bs*ii[i]) : 0);
3029     ierr = MatSetValuesBlocked_SeqBAIJ(B,1,&i,ncols,icols,svals,INSERT_VALUES);CHKERRQ(ierr);
3030   }
3031   if (!V) { ierr = PetscFree(values);CHKERRQ(ierr); }
3032   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3033   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3034 
3035   PetscFunctionReturn(0);
3036 }
3037 EXTERN_C_END
3038 
3039 
3040 EXTERN_C_BEGIN
3041 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactor_seqbaij_petsc(Mat,MatFactorType,Mat*);
3042 extern PetscErrorCode PETSCMAT_DLLEXPORT MatGetFactorAvailable_seqbaij_petsc(Mat,MatFactorType,Mat*);
3043 EXTERN_C_END
3044 
3045 /*MC
3046    MATSEQBAIJ - MATSEQBAIJ = "seqbaij" - A matrix type to be used for sequential block sparse matrices, based on
3047    block sparse compressed row format.
3048 
3049    Options Database Keys:
3050 . -mat_type seqbaij - sets the matrix type to "seqbaij" during a call to MatSetFromOptions()
3051 
3052   Level: beginner
3053 
3054 .seealso: MatCreateSeqBAIJ()
3055 M*/
3056 
3057 
3058 EXTERN_C_BEGIN
3059 #undef __FUNCT__
3060 #define __FUNCT__ "MatCreate_SeqBAIJ"
3061 PetscErrorCode PETSCMAT_DLLEXPORT MatCreate_SeqBAIJ(Mat B)
3062 {
3063   PetscErrorCode ierr;
3064   PetscMPIInt    size;
3065   Mat_SeqBAIJ    *b;
3066 
3067   PetscFunctionBegin;
3068   ierr = MPI_Comm_size(((PetscObject)B)->comm,&size);CHKERRQ(ierr);
3069   if (size > 1) SETERRQ(PETSC_ERR_ARG_WRONG,"Comm must be of size 1");
3070 
3071   ierr    = PetscNewLog(B,Mat_SeqBAIJ,&b);CHKERRQ(ierr);
3072   B->data = (void*)b;
3073   ierr    = PetscMemcpy(B->ops,&MatOps_Values,sizeof(struct _MatOps));CHKERRQ(ierr);
3074   B->mapping               = 0;
3075   b->row                   = 0;
3076   b->col                   = 0;
3077   b->icol                  = 0;
3078   b->reallocs              = 0;
3079   b->saved_values          = 0;
3080 
3081   b->roworiented           = PETSC_TRUE;
3082   b->nonew                 = 0;
3083   b->diag                  = 0;
3084   b->solve_work            = 0;
3085   b->mult_work             = 0;
3086   B->spptr                 = 0;
3087   B->info.nz_unneeded      = (PetscReal)b->maxnz;
3088   b->keepnonzeropattern    = PETSC_FALSE;
3089   b->xtoy                  = 0;
3090   b->XtoY                  = 0;
3091   b->compressedrow.use     = PETSC_FALSE;
3092   b->compressedrow.nrows   = 0;
3093   b->compressedrow.i       = PETSC_NULL;
3094   b->compressedrow.rindex  = PETSC_NULL;
3095   b->compressedrow.checked = PETSC_FALSE;
3096   B->same_nonzero          = PETSC_FALSE;
3097 
3098   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactorAvailable_petsc_C",
3099                                      "MatGetFactorAvailable_seqbaij_petsc",
3100                                      MatGetFactorAvailable_seqbaij_petsc);CHKERRQ(ierr);
3101   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatGetFactor_petsc_C",
3102                                      "MatGetFactor_seqbaij_petsc",
3103                                      MatGetFactor_seqbaij_petsc);CHKERRQ(ierr);
3104   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJInvertBlockDiagonal_C",
3105                                      "MatInvertBlockDiagonal_SeqBAIJ",
3106                                       MatInvertBlockDiagonal_SeqBAIJ);CHKERRQ(ierr);
3107   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatStoreValues_C",
3108                                      "MatStoreValues_SeqBAIJ",
3109                                       MatStoreValues_SeqBAIJ);CHKERRQ(ierr);
3110   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatRetrieveValues_C",
3111                                      "MatRetrieveValues_SeqBAIJ",
3112                                       MatRetrieveValues_SeqBAIJ);CHKERRQ(ierr);
3113   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetColumnIndices_C",
3114                                      "MatSeqBAIJSetColumnIndices_SeqBAIJ",
3115                                       MatSeqBAIJSetColumnIndices_SeqBAIJ);CHKERRQ(ierr);
3116   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqbaij_seqaij_C",
3117                                      "MatConvert_SeqBAIJ_SeqAIJ",
3118                                       MatConvert_SeqBAIJ_SeqAIJ);CHKERRQ(ierr);
3119   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatConvert_seqbaij_seqsbaij_C",
3120                                      "MatConvert_SeqBAIJ_SeqSBAIJ",
3121                                       MatConvert_SeqBAIJ_SeqSBAIJ);CHKERRQ(ierr);
3122   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetPreallocation_C",
3123                                      "MatSeqBAIJSetPreallocation_SeqBAIJ",
3124                                       MatSeqBAIJSetPreallocation_SeqBAIJ);CHKERRQ(ierr);
3125   ierr = PetscObjectComposeFunctionDynamic((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",
3126                                      "MatSeqBAIJSetPreallocationCSR_SeqBAIJ",
3127                                       MatSeqBAIJSetPreallocationCSR_SeqBAIJ);CHKERRQ(ierr);
3128   ierr = PetscObjectChangeTypeName((PetscObject)B,MATSEQBAIJ);CHKERRQ(ierr);
3129   PetscFunctionReturn(0);
3130 }
3131 EXTERN_C_END
3132 
3133 #undef __FUNCT__
3134 #define __FUNCT__ "MatDuplicateNoCreate_SeqBAIJ"
3135 PetscErrorCode MatDuplicateNoCreate_SeqBAIJ(Mat C,Mat A,MatDuplicateOption cpvalues,PetscTruth mallocmatspace)
3136 {
3137   Mat_SeqBAIJ    *c = (Mat_SeqBAIJ*)C->data,*a = (Mat_SeqBAIJ*)A->data;
3138   PetscErrorCode ierr;
3139   PetscInt       i,mbs = a->mbs,nz = a->nz,bs2 = a->bs2;
3140 
3141   PetscFunctionBegin;
3142   if (a->i[mbs] != nz) SETERRQ(PETSC_ERR_PLIB,"Corrupt matrix");
3143 
3144   if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3145     c->imax = a->imax;
3146     c->ilen = a->ilen;
3147     c->free_imax_ilen = PETSC_FALSE;
3148   } else {
3149     ierr = PetscMalloc2(mbs,PetscInt,&c->imax,mbs,PetscInt,&c->ilen);CHKERRQ(ierr);
3150     ierr = PetscLogObjectMemory(C,2*mbs*sizeof(PetscInt));CHKERRQ(ierr);
3151     for (i=0; i<mbs; i++) {
3152       c->imax[i] = a->imax[i];
3153       c->ilen[i] = a->ilen[i];
3154     }
3155     c->free_imax_ilen = PETSC_TRUE;
3156   }
3157 
3158   /* allocate the matrix space */
3159   if (mallocmatspace){
3160     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3161       ierr = PetscMalloc(bs2*nz*sizeof(PetscScalar),&c->a);CHKERRQ(ierr);
3162       ierr = PetscLogObjectMemory(C,a->i[mbs]*bs2*sizeof(PetscScalar));CHKERRQ(ierr);
3163       c->singlemalloc = PETSC_FALSE;
3164       c->free_ij      = PETSC_FALSE;
3165       c->i            = a->i;
3166       c->j            = a->j;
3167       c->parent       = A;
3168       ierr            = PetscObjectReference((PetscObject)A);CHKERRQ(ierr);
3169       ierr            = MatSetOption(A,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3170       ierr            = MatSetOption(C,MAT_NEW_NONZERO_LOCATION_ERR,PETSC_TRUE);CHKERRQ(ierr);
3171     } else {
3172       ierr = PetscMalloc3(bs2*nz,PetscScalar,&c->a,nz,PetscInt,&c->j,mbs+1,PetscInt,&c->i);CHKERRQ(ierr);
3173       ierr = PetscLogObjectMemory(C,a->i[mbs]*(bs2*sizeof(PetscScalar)+sizeof(PetscInt))+(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3174       c->singlemalloc = PETSC_TRUE;
3175       c->free_ij      = PETSC_TRUE;
3176       ierr = PetscMemcpy(c->i,a->i,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3177       if (mbs > 0) {
3178 	ierr = PetscMemcpy(c->j,a->j,nz*sizeof(PetscInt));CHKERRQ(ierr);
3179 	if (cpvalues == MAT_COPY_VALUES) {
3180 	  ierr = PetscMemcpy(c->a,a->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
3181 	} else {
3182 	  ierr = PetscMemzero(c->a,bs2*nz*sizeof(MatScalar));CHKERRQ(ierr);
3183 	}
3184       }
3185     }
3186   }
3187 
3188   c->roworiented = a->roworiented;
3189   c->nonew       = a->nonew;
3190   ierr = PetscMapCopy(((PetscObject)A)->comm,A->rmap,C->rmap);CHKERRQ(ierr);
3191   ierr = PetscMapCopy(((PetscObject)A)->comm,A->cmap,C->cmap);CHKERRQ(ierr);
3192   c->bs2         = a->bs2;
3193   c->mbs         = a->mbs;
3194   c->nbs         = a->nbs;
3195 
3196   if (a->diag) {
3197     if (cpvalues == MAT_SHARE_NONZERO_PATTERN) {
3198       c->diag      = a->diag;
3199       c->free_diag = PETSC_FALSE;
3200     } else {
3201       ierr = PetscMalloc((mbs+1)*sizeof(PetscInt),&c->diag);CHKERRQ(ierr);
3202       ierr = PetscLogObjectMemory(C,(mbs+1)*sizeof(PetscInt));CHKERRQ(ierr);
3203       for (i=0; i<mbs; i++) {
3204         c->diag[i] = a->diag[i];
3205       }
3206       c->free_diag = PETSC_TRUE;
3207     }
3208   } else c->diag        = 0;
3209   c->nz                 = a->nz;
3210   c->maxnz              = a->maxnz;
3211   c->solve_work         = 0;
3212   c->mult_work          = 0;
3213   c->free_a             = PETSC_TRUE;
3214   c->free_ij            = PETSC_TRUE;
3215   C->preallocated       = PETSC_TRUE;
3216   C->assembled          = PETSC_TRUE;
3217 
3218   c->compressedrow.use     = a->compressedrow.use;
3219   c->compressedrow.nrows   = a->compressedrow.nrows;
3220   c->compressedrow.checked = a->compressedrow.checked;
3221   if ( a->compressedrow.checked && a->compressedrow.use){
3222     i = a->compressedrow.nrows;
3223     ierr = PetscMalloc((2*i+1)*sizeof(PetscInt),&c->compressedrow.i);CHKERRQ(ierr);
3224     ierr = PetscLogObjectMemory(C,(2*i+1)*sizeof(PetscInt));CHKERRQ(ierr);
3225     c->compressedrow.rindex = c->compressedrow.i + i + 1;
3226     ierr = PetscMemcpy(c->compressedrow.i,a->compressedrow.i,(i+1)*sizeof(PetscInt));CHKERRQ(ierr);
3227     ierr = PetscMemcpy(c->compressedrow.rindex,a->compressedrow.rindex,i*sizeof(PetscInt));CHKERRQ(ierr);
3228   } else {
3229     c->compressedrow.use    = PETSC_FALSE;
3230     c->compressedrow.i      = PETSC_NULL;
3231     c->compressedrow.rindex = PETSC_NULL;
3232   }
3233   C->same_nonzero = A->same_nonzero;
3234   ierr = PetscFListDuplicate(((PetscObject)A)->qlist,&((PetscObject)C)->qlist);CHKERRQ(ierr);
3235   PetscFunctionReturn(0);
3236 }
3237 
3238 #undef __FUNCT__
3239 #define __FUNCT__ "MatDuplicate_SeqBAIJ"
3240 PetscErrorCode MatDuplicate_SeqBAIJ(Mat A,MatDuplicateOption cpvalues,Mat *B)
3241 {
3242     PetscErrorCode ierr;
3243 
3244   PetscFunctionBegin;
3245   ierr = MatCreate(((PetscObject)A)->comm,B);CHKERRQ(ierr);
3246   ierr = MatSetSizes(*B,A->rmap->N,A->cmap->n,A->rmap->N,A->cmap->n);CHKERRQ(ierr);
3247   ierr = MatSetType(*B,MATSEQBAIJ);CHKERRQ(ierr);
3248   ierr = MatDuplicateNoCreate_SeqBAIJ(*B,A,cpvalues,PETSC_TRUE);
3249   PetscFunctionReturn(0);
3250 }
3251 
3252 #undef __FUNCT__
3253 #define __FUNCT__ "MatLoad_SeqBAIJ"
3254 PetscErrorCode MatLoad_SeqBAIJ(PetscViewer viewer, const MatType type,Mat *A)
3255 {
3256   Mat_SeqBAIJ    *a;
3257   Mat            B;
3258   PetscErrorCode ierr;
3259   PetscInt       i,nz,header[4],*rowlengths=0,M,N,bs=1;
3260   PetscInt       *mask,mbs,*jj,j,rowcount,nzcount,k,*browlengths,maskcount;
3261   PetscInt       kmax,jcount,block,idx,point,nzcountb,extra_rows;
3262   PetscInt       *masked,nmask,tmp,bs2,ishift;
3263   PetscMPIInt    size;
3264   int            fd;
3265   PetscScalar    *aa;
3266   MPI_Comm       comm = ((PetscObject)viewer)->comm;
3267 
3268   PetscFunctionBegin;
3269   ierr = PetscOptionsBegin(comm,PETSC_NULL,"Options for loading SEQBAIJ matrix","Mat");CHKERRQ(ierr);
3270     ierr = PetscOptionsInt("-matload_block_size","Set the blocksize used to store the matrix","MatLoad",bs,&bs,PETSC_NULL);CHKERRQ(ierr);
3271   ierr = PetscOptionsEnd();CHKERRQ(ierr);
3272   bs2  = bs*bs;
3273 
3274   ierr = MPI_Comm_size(comm,&size);CHKERRQ(ierr);
3275   if (size > 1) SETERRQ(PETSC_ERR_ARG_WRONG,"view must have one processor");
3276   ierr = PetscViewerBinaryGetDescriptor(viewer,&fd);CHKERRQ(ierr);
3277   ierr = PetscBinaryRead(fd,header,4,PETSC_INT);CHKERRQ(ierr);
3278   if (header[0] != MAT_FILE_COOKIE) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"not Mat object");
3279   M = header[1]; N = header[2]; nz = header[3];
3280 
3281   if (header[3] < 0) {
3282     SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Matrix stored in special format, cannot load as SeqBAIJ");
3283   }
3284 
3285   if (M != N) SETERRQ(PETSC_ERR_SUP,"Can only do square matrices");
3286 
3287   /*
3288      This code adds extra rows to make sure the number of rows is
3289     divisible by the blocksize
3290   */
3291   mbs        = M/bs;
3292   extra_rows = bs - M + bs*(mbs);
3293   if (extra_rows == bs) extra_rows = 0;
3294   else                  mbs++;
3295   if (extra_rows) {
3296     ierr = PetscInfo(viewer,"Padding loaded matrix to match blocksize\n");CHKERRQ(ierr);
3297   }
3298 
3299   /* read in row lengths */
3300   ierr = PetscMalloc((M+extra_rows)*sizeof(PetscInt),&rowlengths);CHKERRQ(ierr);
3301   ierr = PetscBinaryRead(fd,rowlengths,M,PETSC_INT);CHKERRQ(ierr);
3302   for (i=0; i<extra_rows; i++) rowlengths[M+i] = 1;
3303 
3304   /* read in column indices */
3305   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscInt),&jj);CHKERRQ(ierr);
3306   ierr = PetscBinaryRead(fd,jj,nz,PETSC_INT);CHKERRQ(ierr);
3307   for (i=0; i<extra_rows; i++) jj[nz+i] = M+i;
3308 
3309   /* loop over row lengths determining block row lengths */
3310   ierr     = PetscMalloc(mbs*sizeof(PetscInt),&browlengths);CHKERRQ(ierr);
3311   ierr     = PetscMemzero(browlengths,mbs*sizeof(PetscInt));CHKERRQ(ierr);
3312   ierr     = PetscMalloc(2*mbs*sizeof(PetscInt),&mask);CHKERRQ(ierr);
3313   ierr     = PetscMemzero(mask,mbs*sizeof(PetscInt));CHKERRQ(ierr);
3314   masked   = mask + mbs;
3315   rowcount = 0; nzcount = 0;
3316   for (i=0; i<mbs; i++) {
3317     nmask = 0;
3318     for (j=0; j<bs; j++) {
3319       kmax = rowlengths[rowcount];
3320       for (k=0; k<kmax; k++) {
3321         tmp = jj[nzcount++]/bs;
3322         if (!mask[tmp]) {masked[nmask++] = tmp; mask[tmp] = 1;}
3323       }
3324       rowcount++;
3325     }
3326     browlengths[i] += nmask;
3327     /* zero out the mask elements we set */
3328     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
3329   }
3330 
3331   /* create our matrix */
3332   ierr = MatCreate(comm,&B);
3333   ierr = MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,M+extra_rows,N+extra_rows);
3334   ierr = MatSetType(B,type);CHKERRQ(ierr);
3335   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(B,bs,0,browlengths);CHKERRQ(ierr);
3336   a = (Mat_SeqBAIJ*)B->data;
3337 
3338   /* set matrix "i" values */
3339   a->i[0] = 0;
3340   for (i=1; i<= mbs; i++) {
3341     a->i[i]      = a->i[i-1] + browlengths[i-1];
3342     a->ilen[i-1] = browlengths[i-1];
3343   }
3344   a->nz         = 0;
3345   for (i=0; i<mbs; i++) a->nz += browlengths[i];
3346 
3347   /* read in nonzero values */
3348   ierr = PetscMalloc((nz+extra_rows)*sizeof(PetscScalar),&aa);CHKERRQ(ierr);
3349   ierr = PetscBinaryRead(fd,aa,nz,PETSC_SCALAR);CHKERRQ(ierr);
3350   for (i=0; i<extra_rows; i++) aa[nz+i] = 1.0;
3351 
3352   /* set "a" and "j" values into matrix */
3353   nzcount = 0; jcount = 0;
3354   for (i=0; i<mbs; i++) {
3355     nzcountb = nzcount;
3356     nmask    = 0;
3357     for (j=0; j<bs; j++) {
3358       kmax = rowlengths[i*bs+j];
3359       for (k=0; k<kmax; k++) {
3360         tmp = jj[nzcount++]/bs;
3361 	if (!mask[tmp]) { masked[nmask++] = tmp; mask[tmp] = 1;}
3362       }
3363     }
3364     /* sort the masked values */
3365     ierr = PetscSortInt(nmask,masked);CHKERRQ(ierr);
3366 
3367     /* set "j" values into matrix */
3368     maskcount = 1;
3369     for (j=0; j<nmask; j++) {
3370       a->j[jcount++]  = masked[j];
3371       mask[masked[j]] = maskcount++;
3372     }
3373     /* set "a" values into matrix */
3374     ishift = bs2*a->i[i];
3375     for (j=0; j<bs; j++) {
3376       kmax = rowlengths[i*bs+j];
3377       for (k=0; k<kmax; k++) {
3378         tmp       = jj[nzcountb]/bs ;
3379         block     = mask[tmp] - 1;
3380         point     = jj[nzcountb] - bs*tmp;
3381         idx       = ishift + bs2*block + j + bs*point;
3382         a->a[idx] = (MatScalar)aa[nzcountb++];
3383       }
3384     }
3385     /* zero out the mask elements we set */
3386     for (j=0; j<nmask; j++) mask[masked[j]] = 0;
3387   }
3388   if (jcount != a->nz) SETERRQ(PETSC_ERR_FILE_UNEXPECTED,"Bad binary matrix");
3389 
3390   ierr = PetscFree(rowlengths);CHKERRQ(ierr);
3391   ierr = PetscFree(browlengths);CHKERRQ(ierr);
3392   ierr = PetscFree(aa);CHKERRQ(ierr);
3393   ierr = PetscFree(jj);CHKERRQ(ierr);
3394   ierr = PetscFree(mask);CHKERRQ(ierr);
3395 
3396   ierr = MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3397   ierr = MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3398   ierr = MatView_Private(B);CHKERRQ(ierr);
3399 
3400   *A = B;
3401   PetscFunctionReturn(0);
3402 }
3403 
3404 #undef __FUNCT__
3405 #define __FUNCT__ "MatCreateSeqBAIJ"
3406 /*@C
3407    MatCreateSeqBAIJ - Creates a sparse matrix in block AIJ (block
3408    compressed row) format.  For good matrix assembly performance the
3409    user should preallocate the matrix storage by setting the parameter nz
3410    (or the array nnz).  By setting these parameters accurately, performance
3411    during matrix assembly can be increased by more than a factor of 50.
3412 
3413    Collective on MPI_Comm
3414 
3415    Input Parameters:
3416 +  comm - MPI communicator, set to PETSC_COMM_SELF
3417 .  bs - size of block
3418 .  m - number of rows
3419 .  n - number of columns
3420 .  nz - number of nonzero blocks  per block row (same for all rows)
3421 -  nnz - array containing the number of nonzero blocks in the various block rows
3422          (possibly different for each block row) or PETSC_NULL
3423 
3424    Output Parameter:
3425 .  A - the matrix
3426 
3427    It is recommended that one use the MatCreate(), MatSetType() and/or MatSetFromOptions(),
3428    MatXXXXSetPreallocation() paradgm instead of this routine directly.
3429    [MatXXXXSetPreallocation() is, for example, MatSeqAIJSetPreallocation]
3430 
3431    Options Database Keys:
3432 .   -mat_no_unroll - uses code that does not unroll the loops in the
3433                      block calculations (much slower)
3434 .    -mat_block_size - size of the blocks to use
3435 
3436    Level: intermediate
3437 
3438    Notes:
3439    The number of rows and columns must be divisible by blocksize.
3440 
3441    If the nnz parameter is given then the nz parameter is ignored
3442 
3443    A nonzero block is any block that as 1 or more nonzeros in it
3444 
3445    The block AIJ format is fully compatible with standard Fortran 77
3446    storage.  That is, the stored row and column indices can begin at
3447    either one (as in Fortran) or zero.  See the users' manual for details.
3448 
3449    Specify the preallocated storage with either nz or nnz (not both).
3450    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
3451    allocation.  For additional details, see the users manual chapter on
3452    matrices.
3453 
3454 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPIBAIJ()
3455 @*/
3456 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJ(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt nz,const PetscInt nnz[],Mat *A)
3457 {
3458   PetscErrorCode ierr;
3459 
3460   PetscFunctionBegin;
3461   ierr = MatCreate(comm,A);CHKERRQ(ierr);
3462   ierr = MatSetSizes(*A,m,n,m,n);CHKERRQ(ierr);
3463   ierr = MatSetType(*A,MATSEQBAIJ);CHKERRQ(ierr);
3464   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(*A,bs,nz,(PetscInt*)nnz);CHKERRQ(ierr);
3465   PetscFunctionReturn(0);
3466 }
3467 
3468 #undef __FUNCT__
3469 #define __FUNCT__ "MatSeqBAIJSetPreallocation"
3470 /*@C
3471    MatSeqBAIJSetPreallocation - Sets the block size and expected nonzeros
3472    per row in the matrix. For good matrix assembly performance the
3473    user should preallocate the matrix storage by setting the parameter nz
3474    (or the array nnz).  By setting these parameters accurately, performance
3475    during matrix assembly can be increased by more than a factor of 50.
3476 
3477    Collective on MPI_Comm
3478 
3479    Input Parameters:
3480 +  A - the matrix
3481 .  bs - size of block
3482 .  nz - number of block nonzeros per block row (same for all rows)
3483 -  nnz - array containing the number of block nonzeros in the various block rows
3484          (possibly different for each block row) or PETSC_NULL
3485 
3486    Options Database Keys:
3487 .   -mat_no_unroll - uses code that does not unroll the loops in the
3488                      block calculations (much slower)
3489 .    -mat_block_size - size of the blocks to use
3490 
3491    Level: intermediate
3492 
3493    Notes:
3494    If the nnz parameter is given then the nz parameter is ignored
3495 
3496    You can call MatGetInfo() to get information on how effective the preallocation was;
3497    for example the fields mallocs,nz_allocated,nz_used,nz_unneeded;
3498    You can also run with the option -info and look for messages with the string
3499    malloc in them to see if additional memory allocation was needed.
3500 
3501    The block AIJ format is fully compatible with standard Fortran 77
3502    storage.  That is, the stored row and column indices can begin at
3503    either one (as in Fortran) or zero.  See the users' manual for details.
3504 
3505    Specify the preallocated storage with either nz or nnz (not both).
3506    Set nz=PETSC_DEFAULT and nnz=PETSC_NULL for PETSc to control dynamic memory
3507    allocation.  For additional details, see the users manual chapter on
3508    matrices.
3509 
3510 .seealso: MatCreate(), MatCreateSeqAIJ(), MatSetValues(), MatCreateMPIBAIJ(), MatGetInfo()
3511 @*/
3512 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocation(Mat B,PetscInt bs,PetscInt nz,const PetscInt nnz[])
3513 {
3514   PetscErrorCode ierr,(*f)(Mat,PetscInt,PetscInt,const PetscInt[]);
3515 
3516   PetscFunctionBegin;
3517   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqBAIJSetPreallocation_C",(void (**)(void))&f);CHKERRQ(ierr);
3518   if (f) {
3519     ierr = (*f)(B,bs,nz,nnz);CHKERRQ(ierr);
3520   }
3521   PetscFunctionReturn(0);
3522 }
3523 
3524 #undef __FUNCT__
3525 #define __FUNCT__ "MatSeqBAIJSetPreallocationCSR"
3526 /*@C
3527    MatSeqBAIJSetPreallocationCSR - Allocates memory for a sparse sequential matrix in AIJ format
3528    (the default sequential PETSc format).
3529 
3530    Collective on MPI_Comm
3531 
3532    Input Parameters:
3533 +  A - the matrix
3534 .  i - the indices into j for the start of each local row (starts with zero)
3535 .  j - the column indices for each local row (starts with zero) these must be sorted for each row
3536 -  v - optional values in the matrix
3537 
3538    Level: developer
3539 
3540 .keywords: matrix, aij, compressed row, sparse
3541 
3542 .seealso: MatCreate(), MatCreateSeqBAIJ(), MatSetValues(), MatSeqBAIJSetPreallocation(), MATSEQBAIJ
3543 @*/
3544 PetscErrorCode PETSCMAT_DLLEXPORT MatSeqBAIJSetPreallocationCSR(Mat B,PetscInt bs,const PetscInt i[],const PetscInt j[], const PetscScalar v[])
3545 {
3546   PetscErrorCode ierr,(*f)(Mat,PetscInt,const PetscInt[],const PetscInt[],const PetscScalar[]);
3547 
3548   PetscFunctionBegin;
3549   ierr = PetscObjectQueryFunction((PetscObject)B,"MatSeqBAIJSetPreallocationCSR_C",(void (**)(void))&f);CHKERRQ(ierr);
3550   if (f) {
3551     ierr = (*f)(B,bs,i,j,v);CHKERRQ(ierr);
3552   }
3553   PetscFunctionReturn(0);
3554 }
3555 
3556 
3557 #undef __FUNCT__
3558 #define __FUNCT__ "MatCreateSeqBAIJWithArrays"
3559 /*@
3560      MatCreateSeqBAIJWithArrays - Creates an sequential BAIJ matrix using matrix elements
3561               (upper triangular entries in CSR format) provided by the user.
3562 
3563      Collective on MPI_Comm
3564 
3565    Input Parameters:
3566 +  comm - must be an MPI communicator of size 1
3567 .  bs - size of block
3568 .  m - number of rows
3569 .  n - number of columns
3570 .  i - row indices
3571 .  j - column indices
3572 -  a - matrix values
3573 
3574    Output Parameter:
3575 .  mat - the matrix
3576 
3577    Level: intermediate
3578 
3579    Notes:
3580        The i, j, and a arrays are not copied by this routine, the user must free these arrays
3581     once the matrix is destroyed
3582 
3583        You cannot set new nonzero locations into this matrix, that will generate an error.
3584 
3585        The i and j indices are 0 based
3586 
3587 .seealso: MatCreate(), MatCreateMPIBAIJ(), MatCreateSeqBAIJ()
3588 
3589 @*/
3590 PetscErrorCode PETSCMAT_DLLEXPORT MatCreateSeqBAIJWithArrays(MPI_Comm comm,PetscInt bs,PetscInt m,PetscInt n,PetscInt* i,PetscInt*j,PetscScalar *a,Mat *mat)
3591 {
3592   PetscErrorCode ierr;
3593   PetscInt       ii;
3594   Mat_SeqBAIJ    *baij;
3595 
3596   PetscFunctionBegin;
3597   if (bs != 1) SETERRQ1(PETSC_ERR_SUP,"block size %D > 1 is not supported yet",bs);
3598   if (i[0]) SETERRQ(PETSC_ERR_ARG_OUTOFRANGE,"i (row indices) must start with 0");
3599 
3600   ierr = MatCreate(comm,mat);CHKERRQ(ierr);
3601   ierr = MatSetSizes(*mat,m,n,m,n);CHKERRQ(ierr);
3602   ierr = MatSetType(*mat,MATSEQBAIJ);CHKERRQ(ierr);
3603   ierr = MatSeqBAIJSetPreallocation_SeqBAIJ(*mat,bs,MAT_SKIP_ALLOCATION,0);CHKERRQ(ierr);
3604   baij = (Mat_SeqBAIJ*)(*mat)->data;
3605   ierr = PetscMalloc2(m,PetscInt,&baij->imax,m,PetscInt,&baij->ilen);CHKERRQ(ierr);
3606   ierr = PetscLogObjectMemory(*mat,2*m*sizeof(PetscInt));CHKERRQ(ierr);
3607 
3608   baij->i = i;
3609   baij->j = j;
3610   baij->a = a;
3611   baij->singlemalloc = PETSC_FALSE;
3612   baij->nonew        = -1;             /*this indicates that inserting a new value in the matrix that generates a new nonzero is an error*/
3613   baij->free_a       = PETSC_FALSE;
3614   baij->free_ij       = PETSC_FALSE;
3615 
3616   for (ii=0; ii<m; ii++) {
3617     baij->ilen[ii] = baij->imax[ii] = i[ii+1] - i[ii];
3618 #if defined(PETSC_USE_DEBUG)
3619     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]);
3620 #endif
3621   }
3622 #if defined(PETSC_USE_DEBUG)
3623   for (ii=0; ii<baij->i[m]; ii++) {
3624     if (j[ii] < 0) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Negative column index at location = %d index = %d",ii,j[ii]);
3625     if (j[ii] > n - 1) SETERRQ2(PETSC_ERR_ARG_OUTOFRANGE,"Column index to large at location = %d index = %d",ii,j[ii]);
3626   }
3627 #endif
3628 
3629   ierr = MatAssemblyBegin(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3630   ierr = MatAssemblyEnd(*mat,MAT_FINAL_ASSEMBLY);CHKERRQ(ierr);
3631   PetscFunctionReturn(0);
3632 }
3633