/* Version for when blocks are 4 by 4 */
PetscErrorCode MatCholeskyFactorNumeric_SeqSBAIJ_4(Mat C,Mat A,const MatFactorInfo *info)
{
Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data,*b = (Mat_SeqSBAIJ*)C->data;
IS perm = b->row;
PetscErrorCode ierr;
const PetscInt *ai,*aj,*perm_ptr,mbs=a->mbs,*bi=b->i,*bj=b->j;
PetscInt i,j,*a2anew,k,k1,jmin,jmax,*jl,*il,vj,nexti,ili;
MatScalar *ba = b->a,*aa,*ap,*dk,*uik;
MatScalar *u,*diag,*rtmp,*rtmp_ptr;
PetscBool pivotinblocks = b->pivotinblocks;
PetscReal shift = info->shiftamount;
PetscBool allowzeropivot,zeropivotdetected=PETSC_FALSE;
PetscFunctionBegin;
/* initialization */
allowzeropivot = PetscNot(A->erroriffailure);
ierr = PetscCalloc1(16*mbs,&rtmp);CHKERRQ(ierr);
ierr = PetscMalloc2(mbs,&il,mbs,&jl);CHKERRQ(ierr);
il[0] = 0;
for (i=0; i<mbs; i++) jl[i] = mbs;
ierr = PetscMalloc2(16,&dk,16,&uik);CHKERRQ(ierr);
ierr = ISGetIndices(perm,&perm_ptr);CHKERRQ(ierr);
/* check permutation */
if (!a->permute) {
ai = a->i; aj = a->j; aa = a->a;
} else {
ai = a->inew; aj = a->jnew;
ierr = PetscMalloc1(16*ai[mbs],&aa);CHKERRQ(ierr);
ierr = PetscMemcpy(aa,a->a,16*ai[mbs]*sizeof(MatScalar));CHKERRQ(ierr);
ierr = PetscMalloc1(ai[mbs],&a2anew);CHKERRQ(ierr);
ierr = PetscMemcpy(a2anew,a->a2anew,(ai[mbs])*sizeof(PetscInt));CHKERRQ(ierr);
for (i=0; i<mbs; i++) {
jmin = ai[i]; jmax = ai[i+1];
for (j=jmin; j<jmax; j++) {
while (a2anew[j] != j) {
k = a2anew[j]; a2anew[j] = a2anew[k]; a2anew[k] = k;
for (k1=0; k1<16; k1++) {
dk[k1] = aa[k*16+k1];
aa[k*16+k1] = aa[j*16+k1];
aa[j*16+k1] = dk[k1];
}
}
/* transform columnoriented blocks that lie in the lower triangle to roworiented blocks */
if (i > aj[j]) {
/* printf("change orientation, row: %d, col: %d\n",i,aj[j]); */
ap = aa + j*16; /* ptr to the beginning of j-th block of aa */
for (k=0; k<16; k++) dk[k] = ap[k]; /* dk <- j-th block of aa */
for (k=0; k<4; k++) { /* j-th block of aa <- dk^T */
for (k1=0; k1<4; k1++) *ap++ = dk[k + 4*k1];
}
}
}
}
ierr = PetscFree(a2anew);CHKERRQ(ierr);
}
/* for each row k */
for (k = 0; k<mbs; k++) {
/*initialize k-th row with elements nonzero in row perm(k) of A */
jmin = ai[perm_ptr[k]]; jmax = ai[perm_ptr[k]+1];
if (jmin < jmax) {
ap = aa + jmin*16;
for (j = jmin; j < jmax; j++) {
vj = perm_ptr[aj[j]]; /* block col. index */
rtmp_ptr = rtmp + vj*16;
for (i=0; i<16; i++) *rtmp_ptr++ = *ap++;
}
}
/* modify k-th row by adding in those rows i with U(i,k) != 0 */
ierr = PetscMemcpy(dk,rtmp+k*16,16*sizeof(MatScalar));CHKERRQ(ierr);
i = jl[k]; /* first row to be added to k_th row */
while (i < mbs) {
nexti = jl[i]; /* next row to be added to k_th row */
/* compute multiplier */
ili = il[i]; /* index of first nonzero element in U(i,k:bms-1) */
/* uik = -inv(Di)*U_bar(i,k) */
diag = ba + i*16;
u = ba + ili*16;
uik[0] = -(diag[0]*u[0] + diag[4]*u[1] + diag[8]*u[2] + diag[12]*u[3]);
uik[1] = -(diag[1]*u[0] + diag[5]*u[1] + diag[9]*u[2] + diag[13]*u[3]);
uik[2] = -(diag[2]*u[0] + diag[6]*u[1] + diag[10]*u[2]+ diag[14]*u[3]);
uik[3] = -(diag[3]*u[0] + diag[7]*u[1] + diag[11]*u[2]+ diag[15]*u[3]);
uik[4] = -(diag[0]*u[4] + diag[4]*u[5] + diag[8]*u[6] + diag[12]*u[7]);
uik[5] = -(diag[1]*u[4] + diag[5]*u[5] + diag[9]*u[6] + diag[13]*u[7]);
uik[6] = -(diag[2]*u[4] + diag[6]*u[5] + diag[10]*u[6]+ diag[14]*u[7]);
uik[7] = -(diag[3]*u[4] + diag[7]*u[5] + diag[11]*u[6]+ diag[15]*u[7]);
uik[8] = -(diag[0]*u[8] + diag[4]*u[9] + diag[8]*u[10] + diag[12]*u[11]);
uik[9] = -(diag[1]*u[8] + diag[5]*u[9] + diag[9]*u[10] + diag[13]*u[11]);
uik[10]= -(diag[2]*u[8] + diag[6]*u[9] + diag[10]*u[10]+ diag[14]*u[11]);
uik[11]= -(diag[3]*u[8] + diag[7]*u[9] + diag[11]*u[10]+ diag[15]*u[11]);
uik[12]= -(diag[0]*u[12] + diag[4]*u[13] + diag[8]*u[14] + diag[12]*u[15]);
uik[13]= -(diag[1]*u[12] + diag[5]*u[13] + diag[9]*u[14] + diag[13]*u[15]);
uik[14]= -(diag[2]*u[12] + diag[6]*u[13] + diag[10]*u[14]+ diag[14]*u[15]);
uik[15]= -(diag[3]*u[12] + diag[7]*u[13] + diag[11]*u[14]+ diag[15]*u[15]);
/* update D(k) += -U(i,k)^T * U_bar(i,k) */
dk[0] += uik[0]*u[0] + uik[1]*u[1] + uik[2]*u[2] + uik[3]*u[3];
dk[1] += uik[4]*u[0] + uik[5]*u[1] + uik[6]*u[2] + uik[7]*u[3];
dk[2] += uik[8]*u[0] + uik[9]*u[1] + uik[10]*u[2]+ uik[11]*u[3];
dk[3] += uik[12]*u[0]+ uik[13]*u[1]+ uik[14]*u[2]+ uik[15]*u[3];
dk[4] += uik[0]*u[4] + uik[1]*u[5] + uik[2]*u[6] + uik[3]*u[7];
dk[5] += uik[4]*u[4] + uik[5]*u[5] + uik[6]*u[6] + uik[7]*u[7];
dk[6] += uik[8]*u[4] + uik[9]*u[5] + uik[10]*u[6]+ uik[11]*u[7];
dk[7] += uik[12]*u[4]+ uik[13]*u[5]+ uik[14]*u[6]+ uik[15]*u[7];
dk[8] += uik[0]*u[8] + uik[1]*u[9] + uik[2]*u[10] + uik[3]*u[11];
dk[9] += uik[4]*u[8] + uik[5]*u[9] + uik[6]*u[10] + uik[7]*u[11];
dk[10]+= uik[8]*u[8] + uik[9]*u[9] + uik[10]*u[10]+ uik[11]*u[11];
dk[11]+= uik[12]*u[8]+ uik[13]*u[9]+ uik[14]*u[10]+ uik[15]*u[11];
dk[12]+= uik[0]*u[12] + uik[1]*u[13] + uik[2]*u[14] + uik[3]*u[15];
dk[13]+= uik[4]*u[12] + uik[5]*u[13] + uik[6]*u[14] + uik[7]*u[15];
dk[14]+= uik[8]*u[12] + uik[9]*u[13] + uik[10]*u[14]+ uik[11]*u[15];
dk[15]+= uik[12]*u[12]+ uik[13]*u[13]+ uik[14]*u[14]+ uik[15]*u[15];
ierr = PetscLogFlops(64.0*4.0);CHKERRQ(ierr);
/* update -U(i,k) */
ierr = PetscMemcpy(ba+ili*16,uik,16*sizeof(MatScalar));CHKERRQ(ierr);
/* add multiple of row i to k-th row ... */
jmin = ili + 1; jmax = bi[i+1];
if (jmin < jmax) {
for (j=jmin; j<jmax; j++) {
/* rtmp += -U(i,k)^T * U_bar(i,j) */
rtmp_ptr = rtmp + bj[j]*16;
u = ba + j*16;
rtmp_ptr[0] += uik[0]*u[0] + uik[1]*u[1] + uik[2]*u[2] + uik[3]*u[3];
rtmp_ptr[1] += uik[4]*u[0] + uik[5]*u[1] + uik[6]*u[2] + uik[7]*u[3];
rtmp_ptr[2] += uik[8]*u[0] + uik[9]*u[1] + uik[10]*u[2]+ uik[11]*u[3];
rtmp_ptr[3] += uik[12]*u[0]+ uik[13]*u[1]+ uik[14]*u[2]+ uik[15]*u[3];
rtmp_ptr[4] += uik[0]*u[4] + uik[1]*u[5] + uik[2]*u[6] + uik[3]*u[7];
rtmp_ptr[5] += uik[4]*u[4] + uik[5]*u[5] + uik[6]*u[6] + uik[7]*u[7];
rtmp_ptr[6] += uik[8]*u[4] + uik[9]*u[5] + uik[10]*u[6]+ uik[11]*u[7];
rtmp_ptr[7] += uik[12]*u[4]+ uik[13]*u[5]+ uik[14]*u[6]+ uik[15]*u[7];
rtmp_ptr[8] += uik[0]*u[8] + uik[1]*u[9] + uik[2]*u[10] + uik[3]*u[11];
rtmp_ptr[9] += uik[4]*u[8] + uik[5]*u[9] + uik[6]*u[10] + uik[7]*u[11];
rtmp_ptr[10]+= uik[8]*u[8] + uik[9]*u[9] + uik[10]*u[10]+ uik[11]*u[11];
rtmp_ptr[11]+= uik[12]*u[8]+ uik[13]*u[9]+ uik[14]*u[10]+ uik[15]*u[11];
rtmp_ptr[12]+= uik[0]*u[12] + uik[1]*u[13] + uik[2]*u[14] + uik[3]*u[15];
rtmp_ptr[13]+= uik[4]*u[12] + uik[5]*u[13] + uik[6]*u[14] + uik[7]*u[15];
rtmp_ptr[14]+= uik[8]*u[12] + uik[9]*u[13] + uik[10]*u[14]+ uik[11]*u[15];
rtmp_ptr[15]+= uik[12]*u[12]+ uik[13]*u[13]+ uik[14]*u[14]+ uik[15]*u[15];
}
ierr = PetscLogFlops(2.0*64.0*(jmax-jmin));CHKERRQ(ierr);
/* ... add i to row list for next nonzero entry */
il[i] = jmin; /* update il(i) in column k+1, ... mbs-1 */
j = bj[jmin];
jl[i] = jl[j]; jl[j] = i; /* update jl */
}
i = nexti;
}
/* save nonzero entries in k-th row of U ... */
/* invert diagonal block */
diag = ba+k*16;
ierr = PetscMemcpy(diag,dk,16*sizeof(MatScalar));CHKERRQ(ierr);
if (pivotinblocks) {
ierr = PetscKernel_A_gets_inverse_A_4(diag,shift, allowzeropivot,&zeropivotdetected);CHKERRQ(ierr);
if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;
} else {
ierr = PetscKernel_A_gets_inverse_A_4_nopivot(diag);CHKERRQ(ierr);
}
jmin = bi[k]; jmax = bi[k+1];
if (jmin < jmax) {
for (j=jmin; j<jmax; j++) {
vj = bj[j]; /* block col. index of U */
u = ba + j*16;
rtmp_ptr = rtmp + vj*16;
for (k1=0; k1<16; k1++) {
*u++ = *rtmp_ptr;
*rtmp_ptr++ = 0.0;
}
}
/* ... add k to row list for first nonzero entry in k-th row */
il[k] = jmin;
i = bj[jmin];
jl[k] = jl[i]; jl[i] = k;
}
}
ierr = PetscFree(rtmp);CHKERRQ(ierr);
ierr = PetscFree2(il,jl);CHKERRQ(ierr);
ierr = PetscFree2(dk,uik);CHKERRQ(ierr);
if (a->permute) {
ierr = PetscFree(aa);CHKERRQ(ierr);
}
ierr = ISRestoreIndices(perm,&perm_ptr);CHKERRQ(ierr);
C->ops->solve = MatSolve_SeqSBAIJ_4_inplace;
C->ops->solvetranspose = MatSolve_SeqSBAIJ_4_inplace;
C->assembled = PETSC_TRUE;
C->preallocated = PETSC_TRUE;
ierr = PetscLogFlops(1.3333*64*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */
PetscFunctionReturn(0);
}
PetscErrorCode MatCholeskyFactorNumeric_SeqSBAIJ_4_NaturalOrdering(Mat C,Mat A,const MatFactorInfo *info)
{
Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data,*b = (Mat_SeqSBAIJ *)C->data;
PetscErrorCode ierr;
PetscInt i,j,mbs=a->mbs,*bi=b->i,*bj=b->j;
PetscInt *ai,*aj,k,k1,jmin,jmax,*jl,*il,vj,nexti,ili;
MatScalar *ba = b->a,*aa,*ap,*dk,*uik;
MatScalar *u,*diag,*rtmp,*rtmp_ptr;
PetscBool pivotinblocks = b->pivotinblocks;
PetscReal shift = info->shiftamount;
PetscFunctionBegin;
/* initialization */
ierr = PetscMalloc(16*mbs*sizeof(MatScalar),&rtmp);CHKERRQ(ierr);
ierr = PetscMemzero(rtmp,16*mbs*sizeof(MatScalar));CHKERRQ(ierr);
ierr = PetscMalloc2(mbs,PetscInt,&il,mbs,PetscInt,&jl);CHKERRQ(ierr);
for (i=0; i<mbs; i++) {
jl[i] = mbs; il[0] = 0;
}
ierr = PetscMalloc2(16,MatScalar,&dk,16,MatScalar,&uik);CHKERRQ(ierr);
ai = a->i; aj = a->j; aa = a->a;
/* for each row k */
for (k = 0; k<mbs; k++){
/*initialize k-th row with elements nonzero in row k of A */
jmin = ai[k]; jmax = ai[k+1];
if (jmin < jmax) {
ap = aa + jmin*16;
for (j = jmin; j < jmax; j++){
vj = aj[j]; /* block col. index */
rtmp_ptr = rtmp + vj*16;
for (i=0; i<16; i++) *rtmp_ptr++ = *ap++;
}
}
/* modify k-th row by adding in those rows i with U(i,k) != 0 */
ierr = PetscMemcpy(dk,rtmp+k*16,16*sizeof(MatScalar));CHKERRQ(ierr);
i = jl[k]; /* first row to be added to k_th row */
while (i < mbs){
nexti = jl[i]; /* next row to be added to k_th row */
/* compute multiplier */
ili = il[i]; /* index of first nonzero element in U(i,k:bms-1) */
/* uik = -inv(Di)*U_bar(i,k) */
diag = ba + i*16;
u = ba + ili*16;
uik[0] = -(diag[0]*u[0] + diag[4]*u[1] + diag[8]*u[2] + diag[12]*u[3]);
uik[1] = -(diag[1]*u[0] + diag[5]*u[1] + diag[9]*u[2] + diag[13]*u[3]);
uik[2] = -(diag[2]*u[0] + diag[6]*u[1] + diag[10]*u[2]+ diag[14]*u[3]);
uik[3] = -(diag[3]*u[0] + diag[7]*u[1] + diag[11]*u[2]+ diag[15]*u[3]);
uik[4] = -(diag[0]*u[4] + diag[4]*u[5] + diag[8]*u[6] + diag[12]*u[7]);
uik[5] = -(diag[1]*u[4] + diag[5]*u[5] + diag[9]*u[6] + diag[13]*u[7]);
uik[6] = -(diag[2]*u[4] + diag[6]*u[5] + diag[10]*u[6]+ diag[14]*u[7]);
uik[7] = -(diag[3]*u[4] + diag[7]*u[5] + diag[11]*u[6]+ diag[15]*u[7]);
uik[8] = -(diag[0]*u[8] + diag[4]*u[9] + diag[8]*u[10] + diag[12]*u[11]);
uik[9] = -(diag[1]*u[8] + diag[5]*u[9] + diag[9]*u[10] + diag[13]*u[11]);
uik[10]= -(diag[2]*u[8] + diag[6]*u[9] + diag[10]*u[10]+ diag[14]*u[11]);
uik[11]= -(diag[3]*u[8] + diag[7]*u[9] + diag[11]*u[10]+ diag[15]*u[11]);
uik[12]= -(diag[0]*u[12] + diag[4]*u[13] + diag[8]*u[14] + diag[12]*u[15]);
uik[13]= -(diag[1]*u[12] + diag[5]*u[13] + diag[9]*u[14] + diag[13]*u[15]);
uik[14]= -(diag[2]*u[12] + diag[6]*u[13] + diag[10]*u[14]+ diag[14]*u[15]);
uik[15]= -(diag[3]*u[12] + diag[7]*u[13] + diag[11]*u[14]+ diag[15]*u[15]);
/* update D(k) += -U(i,k)^T * U_bar(i,k) */
dk[0] += uik[0]*u[0] + uik[1]*u[1] + uik[2]*u[2] + uik[3]*u[3];
dk[1] += uik[4]*u[0] + uik[5]*u[1] + uik[6]*u[2] + uik[7]*u[3];
dk[2] += uik[8]*u[0] + uik[9]*u[1] + uik[10]*u[2]+ uik[11]*u[3];
dk[3] += uik[12]*u[0]+ uik[13]*u[1]+ uik[14]*u[2]+ uik[15]*u[3];
dk[4] += uik[0]*u[4] + uik[1]*u[5] + uik[2]*u[6] + uik[3]*u[7];
dk[5] += uik[4]*u[4] + uik[5]*u[5] + uik[6]*u[6] + uik[7]*u[7];
dk[6] += uik[8]*u[4] + uik[9]*u[5] + uik[10]*u[6]+ uik[11]*u[7];
dk[7] += uik[12]*u[4]+ uik[13]*u[5]+ uik[14]*u[6]+ uik[15]*u[7];
dk[8] += uik[0]*u[8] + uik[1]*u[9] + uik[2]*u[10] + uik[3]*u[11];
dk[9] += uik[4]*u[8] + uik[5]*u[9] + uik[6]*u[10] + uik[7]*u[11];
dk[10]+= uik[8]*u[8] + uik[9]*u[9] + uik[10]*u[10]+ uik[11]*u[11];
dk[11]+= uik[12]*u[8]+ uik[13]*u[9]+ uik[14]*u[10]+ uik[15]*u[11];
dk[12]+= uik[0]*u[12] + uik[1]*u[13] + uik[2]*u[14] + uik[3]*u[15];
dk[13]+= uik[4]*u[12] + uik[5]*u[13] + uik[6]*u[14] + uik[7]*u[15];
dk[14]+= uik[8]*u[12] + uik[9]*u[13] + uik[10]*u[14]+ uik[11]*u[15];
dk[15]+= uik[12]*u[12]+ uik[13]*u[13]+ uik[14]*u[14]+ uik[15]*u[15];
ierr = PetscLogFlops(64.0*4.0);CHKERRQ(ierr);
/* update -U(i,k) */
ierr = PetscMemcpy(ba+ili*16,uik,16*sizeof(MatScalar));CHKERRQ(ierr);
/* add multiple of row i to k-th row ... */
jmin = ili + 1; jmax = bi[i+1];
if (jmin < jmax){
for (j=jmin; j<jmax; j++) {
/* rtmp += -U(i,k)^T * U_bar(i,j) */
rtmp_ptr = rtmp + bj[j]*16;
u = ba + j*16;
rtmp_ptr[0] += uik[0]*u[0] + uik[1]*u[1] + uik[2]*u[2] + uik[3]*u[3];
rtmp_ptr[1] += uik[4]*u[0] + uik[5]*u[1] + uik[6]*u[2] + uik[7]*u[3];
rtmp_ptr[2] += uik[8]*u[0] + uik[9]*u[1] + uik[10]*u[2]+ uik[11]*u[3];
rtmp_ptr[3] += uik[12]*u[0]+ uik[13]*u[1]+ uik[14]*u[2]+ uik[15]*u[3];
rtmp_ptr[4] += uik[0]*u[4] + uik[1]*u[5] + uik[2]*u[6] + uik[3]*u[7];
rtmp_ptr[5] += uik[4]*u[4] + uik[5]*u[5] + uik[6]*u[6] + uik[7]*u[7];
rtmp_ptr[6] += uik[8]*u[4] + uik[9]*u[5] + uik[10]*u[6]+ uik[11]*u[7];
rtmp_ptr[7] += uik[12]*u[4]+ uik[13]*u[5]+ uik[14]*u[6]+ uik[15]*u[7];
rtmp_ptr[8] += uik[0]*u[8] + uik[1]*u[9] + uik[2]*u[10] + uik[3]*u[11];
rtmp_ptr[9] += uik[4]*u[8] + uik[5]*u[9] + uik[6]*u[10] + uik[7]*u[11];
rtmp_ptr[10]+= uik[8]*u[8] + uik[9]*u[9] + uik[10]*u[10]+ uik[11]*u[11];
rtmp_ptr[11]+= uik[12]*u[8]+ uik[13]*u[9]+ uik[14]*u[10]+ uik[15]*u[11];
rtmp_ptr[12]+= uik[0]*u[12] + uik[1]*u[13] + uik[2]*u[14] + uik[3]*u[15];
rtmp_ptr[13]+= uik[4]*u[12] + uik[5]*u[13] + uik[6]*u[14] + uik[7]*u[15];
rtmp_ptr[14]+= uik[8]*u[12] + uik[9]*u[13] + uik[10]*u[14]+ uik[11]*u[15];
rtmp_ptr[15]+= uik[12]*u[12]+ uik[13]*u[13]+ uik[14]*u[14]+ uik[15]*u[15];
}
ierr = PetscLogFlops(2.0*64.0*(jmax-jmin));CHKERRQ(ierr);
/* ... add i to row list for next nonzero entry */
il[i] = jmin; /* update il(i) in column k+1, ... mbs-1 */
j = bj[jmin];
jl[i] = jl[j]; jl[j] = i; /* update jl */
}
i = nexti;
}
/* save nonzero entries in k-th row of U ... */
/* invert diagonal block */
diag = ba+k*16;
ierr = PetscMemcpy(diag,dk,16*sizeof(MatScalar));CHKERRQ(ierr);
if (pivotinblocks) {
ierr = PetscKernel_A_gets_inverse_A_4(diag,shift);CHKERRQ(ierr);
} else {
ierr = PetscKernel_A_gets_inverse_A_4_nopivot(diag);CHKERRQ(ierr);
}
jmin = bi[k]; jmax = bi[k+1];
if (jmin < jmax) {
for (j=jmin; j<jmax; j++){
vj = bj[j]; /* block col. index of U */
u = ba + j*16;
rtmp_ptr = rtmp + vj*16;
for (k1=0; k1<16; k1++){
*u++ = *rtmp_ptr;
*rtmp_ptr++ = 0.0;
}
}
/* ... add k to row list for first nonzero entry in k-th row */
il[k] = jmin;
i = bj[jmin];
jl[k] = jl[i]; jl[i] = k;
}
}
ierr = PetscFree(rtmp);CHKERRQ(ierr);
ierr = PetscFree2(il,jl);CHKERRQ(ierr);
ierr = PetscFree2(dk,uik);CHKERRQ(ierr);
C->ops->solve = MatSolve_SeqSBAIJ_4_NaturalOrdering_inplace;
C->ops->solvetranspose = MatSolve_SeqSBAIJ_4_NaturalOrdering_inplace;
C->ops->forwardsolve = MatForwardSolve_SeqSBAIJ_4_NaturalOrdering_inplace;
C->ops->backwardsolve = MatBackwardSolve_SeqSBAIJ_4_NaturalOrdering_inplace;
C->assembled = PETSC_TRUE;
C->preallocated = PETSC_TRUE;
ierr = PetscLogFlops(1.3333*64*b->mbs);CHKERRQ(ierr); /* from inverting diagonal blocks */
PetscFunctionReturn(0);
}
