Actual source code: sbaijfact9.c

petsc-3.11.3 2019-06-26
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  2:  #include <../src/mat/impls/sbaij/seq/sbaij.h>
  3:  #include <petsc/private/kernels/blockinvert.h>

  5: /* Version for when blocks are 6 by 6 */
  6: PetscErrorCode MatCholeskyFactorNumeric_SeqSBAIJ_6(Mat C,Mat A,const MatFactorInfo *info)
  7: {
  8:   Mat_SeqSBAIJ   *a   = (Mat_SeqSBAIJ*)A->data,*b = (Mat_SeqSBAIJ*)C->data;
  9:   IS             perm = b->row;
 11:   const PetscInt *ai,*aj,*perm_ptr,mbs=a->mbs,*bi=b->i,*bj=b->j;
 12:   PetscInt       i,j,*a2anew,k,k1,jmin,jmax,*jl,*il,vj,nexti,ili;
 13:   MatScalar      *ba = b->a,*aa,*ap,*dk,*uik;
 14:   MatScalar      *u,*d,*w,*wp,u0,u1,u2,u3,u4,u5,u6,u7,u8,u9,u10,u11,u12;
 15:   MatScalar      u13,u14,u15,u16,u17,u18,u19,u20,u21,u22,u23,u24,u25,u26,u27;
 16:   MatScalar      u28,u29,u30,u31,u32,u33,u34,u35;
 17:   PetscReal      shift = info->shiftamount;
 18:   PetscBool      allowzeropivot,zeropivotdetected;

 21:   /* initialization */
 22:   allowzeropivot = PetscNot(A->erroriffailure);
 23:   PetscCalloc1(36*mbs,&w);
 24:   PetscMalloc2(mbs,&il,mbs,&jl);
 25:   il[0] = 0;
 26:   for (i=0; i<mbs; i++) jl[i] = mbs;
 27: 
 28:   PetscMalloc2(36,&dk,36,&uik);
 29:   ISGetIndices(perm,&perm_ptr);

 31:   /* check permutation */
 32:   if (!a->permute) {
 33:     ai = a->i; aj = a->j; aa = a->a;
 34:   } else {
 35:     ai   = a->inew; aj = a->jnew;
 36:     PetscMalloc1(36*ai[mbs],&aa);
 37:     PetscMemcpy(aa,a->a,36*ai[mbs]*sizeof(MatScalar));
 38:     PetscMalloc1(ai[mbs],&a2anew);
 39:     PetscMemcpy(a2anew,a->a2anew,(ai[mbs])*sizeof(PetscInt));

 41:     for (i=0; i<mbs; i++) {
 42:       jmin = ai[i]; jmax = ai[i+1];
 43:       for (j=jmin; j<jmax; j++) {
 44:         while (a2anew[j] != j) {
 45:           k = a2anew[j]; a2anew[j] = a2anew[k]; a2anew[k] = k;
 46:           for (k1=0; k1<36; k1++) {
 47:             dk[k1]      = aa[k*36+k1];
 48:             aa[k*36+k1] = aa[j*36+k1];
 49:             aa[j*36+k1] = dk[k1];
 50:           }
 51:         }
 52:         /* transform columnoriented blocks that lie in the lower triangle to roworiented blocks */
 53:         if (i > aj[j]) {
 54:           /* printf("change orientation, row: %d, col: %d\n",i,aj[j]); */
 55:           ap = aa + j*36;                     /* ptr to the beginning of j-th block of aa */
 56:           for (k=0; k<36; k++) dk[k] = ap[k]; /* dk <- j-th block of aa */
 57:           for (k=0; k<6; k++) {               /* j-th block of aa <- dk^T */
 58:             for (k1=0; k1<6; k1++) *ap++ = dk[k + 6*k1];
 59:           }
 60:         }
 61:       }
 62:     }
 63:     PetscFree(a2anew);
 64:   }

 66:   /* for each row k */
 67:   for (k = 0; k<mbs; k++) {

 69:     /*initialize k-th row with elements nonzero in row perm(k) of A */
 70:     jmin = ai[perm_ptr[k]]; jmax = ai[perm_ptr[k]+1];
 71:     if (jmin < jmax) {
 72:       ap = aa + jmin*36;
 73:       for (j = jmin; j < jmax; j++) {
 74:         vj = perm_ptr[aj[j]];         /* block col. index */
 75:         wp = w + vj*36;
 76:         for (i=0; i<36; i++) *wp++ = *ap++;
 77:       }
 78:     }

 80:     /* modify k-th row by adding in those rows i with U(i,k) != 0 */
 81:     PetscMemcpy(dk,w+k*36,36*sizeof(MatScalar));
 82:     i    = jl[k]; /* first row to be added to k_th row  */

 84:     while (i < mbs) {
 85:       nexti = jl[i]; /* next row to be added to k_th row */

 87:       /* compute multiplier */
 88:       ili = il[i];  /* index of first nonzero element in U(i,k:bms-1) */

 90:       /* uik = -inv(Di)*U_bar(i,k) */
 91:       d = ba + i*36;
 92:       u = ba + ili*36;

 94:       u0  = u[0]; u1 = u[1]; u2 = u[2]; u3 = u[3]; u4 = u[4]; u5 = u[5]; u6 = u[6];
 95:       u7  = u[7]; u8 = u[8]; u9 = u[9]; u10 = u[10]; u11 = u[11]; u12 = u[12]; u13 = u[13];
 96:       u14 = u[14]; u15 = u[15]; u16 = u[16]; u17 = u[17]; u18 = u[18]; u19 = u[19]; u20 = u[20];
 97:       u21 = u[21]; u22 = u[22]; u23 = u[23]; u24 = u[24]; u25 = u[25]; u26 = u[26]; u27 = u[27];
 98:       u28 = u[28]; u29 = u[29]; u30 = u[30]; u31 = u[31]; u32 = u[32]; u33 = u[33]; u34 = u[34];
 99:       u35 = u[35];

101:       uik[0] = -(d[0]*u0 + d[6]*u1 + d[12]*u2 + d[18]*u3 + d[24]*u4 + d[30]*u5);
102:       uik[1] = -(d[1]*u0 + d[7]*u1 + d[13]*u2 + d[19]*u3 + d[25]*u4 + d[31]*u5);
103:       uik[2] = -(d[2]*u0 + d[8]*u1 + d[14]*u2 + d[20]*u3 + d[26]*u4 + d[32]*u5);
104:       uik[3] = -(d[3]*u0 + d[9]*u1 + d[15]*u2 + d[21]*u3 + d[27]*u4 + d[33]*u5);
105:       uik[4] = -(d[4]*u0+ d[10]*u1 + d[16]*u2 + d[22]*u3 + d[28]*u4 + d[34]*u5);
106:       uik[5] = -(d[5]*u0+ d[11]*u1 + d[17]*u2 + d[23]*u3 + d[29]*u4 + d[35]*u5);

108:       uik[6] = -(d[0]*u6 + d[6]*u7 + d[12]*u8 + d[18]*u9 + d[24]*u10 + d[30]*u11);
109:       uik[7] = -(d[1]*u6 + d[7]*u7 + d[13]*u8 + d[19]*u9 + d[25]*u10 + d[31]*u11);
110:       uik[8] = -(d[2]*u6 + d[8]*u7 + d[14]*u8 + d[20]*u9 + d[26]*u10 + d[32]*u11);
111:       uik[9] = -(d[3]*u6 + d[9]*u7 + d[15]*u8 + d[21]*u9 + d[27]*u10 + d[33]*u11);
112:       uik[10]= -(d[4]*u6+ d[10]*u7 + d[16]*u8 + d[22]*u9 + d[28]*u10 + d[34]*u11);
113:       uik[11]= -(d[5]*u6+ d[11]*u7 + d[17]*u8 + d[23]*u9 + d[29]*u10 + d[35]*u11);

115:       uik[12] = -(d[0]*u12 + d[6]*u13 + d[12]*u14 + d[18]*u15 + d[24]*u16 + d[30]*u17);
116:       uik[13] = -(d[1]*u12 + d[7]*u13 + d[13]*u14 + d[19]*u15 + d[25]*u16 + d[31]*u17);
117:       uik[14] = -(d[2]*u12 + d[8]*u13 + d[14]*u14 + d[20]*u15 + d[26]*u16 + d[32]*u17);
118:       uik[15] = -(d[3]*u12 + d[9]*u13 + d[15]*u14 + d[21]*u15 + d[27]*u16 + d[33]*u17);
119:       uik[16] = -(d[4]*u12+ d[10]*u13 + d[16]*u14 + d[22]*u15 + d[28]*u16 + d[34]*u17);
120:       uik[17] = -(d[5]*u12+ d[11]*u13 + d[17]*u14 + d[23]*u15 + d[29]*u16 + d[35]*u17);

122:       uik[18] = -(d[0]*u18 + d[6]*u19 + d[12]*u20 + d[18]*u21 + d[24]*u22 + d[30]*u23);
123:       uik[19] = -(d[1]*u18 + d[7]*u19 + d[13]*u20 + d[19]*u21 + d[25]*u22 + d[31]*u23);
124:       uik[20] = -(d[2]*u18 + d[8]*u19 + d[14]*u20 + d[20]*u21 + d[26]*u22 + d[32]*u23);
125:       uik[21] = -(d[3]*u18 + d[9]*u19 + d[15]*u20 + d[21]*u21 + d[27]*u22 + d[33]*u23);
126:       uik[22] = -(d[4]*u18+ d[10]*u19 + d[16]*u20 + d[22]*u21 + d[28]*u22 + d[34]*u23);
127:       uik[23] = -(d[5]*u18+ d[11]*u19 + d[17]*u20 + d[23]*u21 + d[29]*u22 + d[35]*u23);

129:       uik[24] = -(d[0]*u24 + d[6]*u25 + d[12]*u26 + d[18]*u27 + d[24]*u28 + d[30]*u29);
130:       uik[25] = -(d[1]*u24 + d[7]*u25 + d[13]*u26 + d[19]*u27 + d[25]*u28 + d[31]*u29);
131:       uik[26] = -(d[2]*u24 + d[8]*u25 + d[14]*u26 + d[20]*u27 + d[26]*u28 + d[32]*u29);
132:       uik[27] = -(d[3]*u24 + d[9]*u25 + d[15]*u26 + d[21]*u27 + d[27]*u28 + d[33]*u29);
133:       uik[28] = -(d[4]*u24+ d[10]*u25 + d[16]*u26 + d[22]*u27 + d[28]*u28 + d[34]*u29);
134:       uik[29] = -(d[5]*u24+ d[11]*u25 + d[17]*u26 + d[23]*u27 + d[29]*u28 + d[35]*u29);

136:       uik[30] = -(d[0]*u30 + d[6]*u31 + d[12]*u32 + d[18]*u33 + d[24]*u34 + d[30]*u35);
137:       uik[31] = -(d[1]*u30 + d[7]*u31 + d[13]*u32 + d[19]*u33 + d[25]*u34 + d[31]*u35);
138:       uik[32] = -(d[2]*u30 + d[8]*u31 + d[14]*u32 + d[20]*u33 + d[26]*u34 + d[32]*u35);
139:       uik[33] = -(d[3]*u30 + d[9]*u31 + d[15]*u32 + d[21]*u33 + d[27]*u34 + d[33]*u35);
140:       uik[34] = -(d[4]*u30+ d[10]*u31 + d[16]*u32 + d[22]*u33 + d[28]*u34 + d[34]*u35);
141:       uik[35] = -(d[5]*u30+ d[11]*u31 + d[17]*u32 + d[23]*u33 + d[29]*u34 + d[35]*u35);

143:       /* update D(k) += -U(i,k)^T * U_bar(i,k) */
144:       dk[0] +=  uik[0]*u0 + uik[1]*u1 + uik[2]*u2 + uik[3]*u3 + uik[4]*u4 + uik[5]*u5;
145:       dk[1] +=  uik[6]*u0 + uik[7]*u1 + uik[8]*u2 + uik[9]*u3+ uik[10]*u4+ uik[11]*u5;
146:       dk[2] += uik[12]*u0+ uik[13]*u1+ uik[14]*u2+ uik[15]*u3+ uik[16]*u4+ uik[17]*u5;
147:       dk[3] += uik[18]*u0+ uik[19]*u1+ uik[20]*u2+ uik[21]*u3+ uik[22]*u4+ uik[23]*u5;
148:       dk[4] += uik[24]*u0+ uik[25]*u1+ uik[26]*u2+ uik[27]*u3+ uik[28]*u4+ uik[29]*u5;
149:       dk[5] += uik[30]*u0+ uik[31]*u1+ uik[32]*u2+ uik[33]*u3+ uik[34]*u4+ uik[35]*u5;

151:       dk[6] +=  uik[0]*u6 + uik[1]*u7 + uik[2]*u8 + uik[3]*u9 + uik[4]*u10 + uik[5]*u11;
152:       dk[7] +=  uik[6]*u6 + uik[7]*u7 + uik[8]*u8 + uik[9]*u9+ uik[10]*u10+ uik[11]*u11;
153:       dk[8] += uik[12]*u6+ uik[13]*u7+ uik[14]*u8+ uik[15]*u9+ uik[16]*u10+ uik[17]*u11;
154:       dk[9] += uik[18]*u6+ uik[19]*u7+ uik[20]*u8+ uik[21]*u9+ uik[22]*u10+ uik[23]*u11;
155:       dk[10]+= uik[24]*u6+ uik[25]*u7+ uik[26]*u8+ uik[27]*u9+ uik[28]*u10+ uik[29]*u11;
156:       dk[11]+= uik[30]*u6+ uik[31]*u7+ uik[32]*u8+ uik[33]*u9+ uik[34]*u10+ uik[35]*u11;

158:       dk[12]+=  uik[0]*u12 + uik[1]*u13 + uik[2]*u14 + uik[3]*u15 + uik[4]*u16 + uik[5]*u17;
159:       dk[13]+=  uik[6]*u12 + uik[7]*u13 + uik[8]*u14 + uik[9]*u15+ uik[10]*u16+ uik[11]*u17;
160:       dk[14]+= uik[12]*u12+ uik[13]*u13+ uik[14]*u14+ uik[15]*u15+ uik[16]*u16+ uik[17]*u17;
161:       dk[15]+= uik[18]*u12+ uik[19]*u13+ uik[20]*u14+ uik[21]*u15+ uik[22]*u16+ uik[23]*u17;
162:       dk[16]+= uik[24]*u12+ uik[25]*u13+ uik[26]*u14+ uik[27]*u15+ uik[28]*u16+ uik[29]*u17;
163:       dk[17]+= uik[30]*u12+ uik[31]*u13+ uik[32]*u14+ uik[33]*u15+ uik[34]*u16+ uik[35]*u17;

165:       dk[18]+=  uik[0]*u18 + uik[1]*u19 + uik[2]*u20 + uik[3]*u21 + uik[4]*u22 + uik[5]*u23;
166:       dk[19]+=  uik[6]*u18 + uik[7]*u19 + uik[8]*u20 + uik[9]*u21+ uik[10]*u22+ uik[11]*u23;
167:       dk[20]+= uik[12]*u18+ uik[13]*u19+ uik[14]*u20+ uik[15]*u21+ uik[16]*u22+ uik[17]*u23;
168:       dk[21]+= uik[18]*u18+ uik[19]*u19+ uik[20]*u20+ uik[21]*u21+ uik[22]*u22+ uik[23]*u23;
169:       dk[22]+= uik[24]*u18+ uik[25]*u19+ uik[26]*u20+ uik[27]*u21+ uik[28]*u22+ uik[29]*u23;
170:       dk[23]+= uik[30]*u18+ uik[31]*u19+ uik[32]*u20+ uik[33]*u21+ uik[34]*u22+ uik[35]*u23;

172:       dk[24]+=  uik[0]*u24 + uik[1]*u25 + uik[2]*u26 + uik[3]*u27 + uik[4]*u28 + uik[5]*u29;
173:       dk[25]+=  uik[6]*u24 + uik[7]*u25 + uik[8]*u26 + uik[9]*u27+ uik[10]*u28+ uik[11]*u29;
174:       dk[26]+= uik[12]*u24+ uik[13]*u25+ uik[14]*u26+ uik[15]*u27+ uik[16]*u28+ uik[17]*u29;
175:       dk[27]+= uik[18]*u24+ uik[19]*u25+ uik[20]*u26+ uik[21]*u27+ uik[22]*u28+ uik[23]*u29;
176:       dk[28]+= uik[24]*u24+ uik[25]*u25+ uik[26]*u26+ uik[27]*u27+ uik[28]*u28+ uik[29]*u29;
177:       dk[29]+= uik[30]*u24+ uik[31]*u25+ uik[32]*u26+ uik[33]*u27+ uik[34]*u28+ uik[35]*u29;

179:       dk[30]+=  uik[0]*u30 + uik[1]*u31 + uik[2]*u32 + uik[3]*u33 + uik[4]*u34 + uik[5]*u35;
180:       dk[31]+=  uik[6]*u30 + uik[7]*u31 + uik[8]*u32 + uik[9]*u33+ uik[10]*u34+ uik[11]*u35;
181:       dk[32]+= uik[12]*u30+ uik[13]*u31+ uik[14]*u32+ uik[15]*u33+ uik[16]*u34+ uik[17]*u35;
182:       dk[33]+= uik[18]*u30+ uik[19]*u31+ uik[20]*u32+ uik[21]*u33+ uik[22]*u34+ uik[23]*u35;
183:       dk[34]+= uik[24]*u30+ uik[25]*u31+ uik[26]*u32+ uik[27]*u33+ uik[28]*u34+ uik[29]*u35;
184:       dk[35]+= uik[30]*u30+ uik[31]*u31+ uik[32]*u32+ uik[33]*u33+ uik[34]*u34+ uik[35]*u35;

186:       PetscLogFlops(216.0*4.0);

188:       /* update -U(i,k) */
189:       PetscMemcpy(ba+ili*36,uik,36*sizeof(MatScalar));

191:       /* add multiple of row i to k-th row ... */
192:       jmin = ili + 1; jmax = bi[i+1];
193:       if (jmin < jmax) {
194:         for (j=jmin; j<jmax; j++) {
195:           /* w += -U(i,k)^T * U_bar(i,j) */
196:           wp = w + bj[j]*36;
197:           u  = ba + j*36;

199:           u0  = u[0];  u1  = u[1];  u2  = u[2];  u3  = u[3];  u4  = u[4];  u5  = u[5];  u6  = u[6];
200:           u7  = u[7];  u8  = u[8];  u9  = u[9];  u10 = u[10]; u11 = u[11]; u12 = u[12]; u13 = u[13];
201:           u14 = u[14]; u15 = u[15]; u16 = u[16]; u17 = u[17]; u18 = u[18]; u19 = u[19]; u20 = u[20];
202:           u21 = u[21]; u22 = u[22]; u23 = u[23]; u24 = u[24]; u25 = u[25]; u26 = u[26]; u27 = u[27];
203:           u28 = u[28]; u29 = u[29]; u30 = u[30]; u31 = u[31]; u32 = u[32]; u33 = u[33]; u34 = u[34];
204:           u35 = u[35];

206:           wp[0] +=  uik[0]*u0 + uik[1]*u1 + uik[2]*u2 + uik[3]*u3 + uik[4]*u4 + uik[5]*u5;
207:           wp[1] +=  uik[6]*u0 + uik[7]*u1 + uik[8]*u2 + uik[9]*u3+ uik[10]*u4+ uik[11]*u5;
208:           wp[2] += uik[12]*u0+ uik[13]*u1+ uik[14]*u2+ uik[15]*u3+ uik[16]*u4+ uik[17]*u5;
209:           wp[3] += uik[18]*u0+ uik[19]*u1+ uik[20]*u2+ uik[21]*u3+ uik[22]*u4+ uik[23]*u5;
210:           wp[4] += uik[24]*u0+ uik[25]*u1+ uik[26]*u2+ uik[27]*u3+ uik[28]*u4+ uik[29]*u5;
211:           wp[5] += uik[30]*u0+ uik[31]*u1+ uik[32]*u2+ uik[33]*u3+ uik[34]*u4+ uik[35]*u5;

213:           wp[6] +=  uik[0]*u6 + uik[1]*u7 + uik[2]*u8 + uik[3]*u9 + uik[4]*u10 + uik[5]*u11;
214:           wp[7] +=  uik[6]*u6 + uik[7]*u7 + uik[8]*u8 + uik[9]*u9+ uik[10]*u10+ uik[11]*u11;
215:           wp[8] += uik[12]*u6+ uik[13]*u7+ uik[14]*u8+ uik[15]*u9+ uik[16]*u10+ uik[17]*u11;
216:           wp[9] += uik[18]*u6+ uik[19]*u7+ uik[20]*u8+ uik[21]*u9+ uik[22]*u10+ uik[23]*u11;
217:           wp[10]+= uik[24]*u6+ uik[25]*u7+ uik[26]*u8+ uik[27]*u9+ uik[28]*u10+ uik[29]*u11;
218:           wp[11]+= uik[30]*u6+ uik[31]*u7+ uik[32]*u8+ uik[33]*u9+ uik[34]*u10+ uik[35]*u11;

220:           wp[12]+=  uik[0]*u12 + uik[1]*u13 + uik[2]*u14 + uik[3]*u15 + uik[4]*u16 + uik[5]*u17;
221:           wp[13]+=  uik[6]*u12 + uik[7]*u13 + uik[8]*u14 + uik[9]*u15+ uik[10]*u16+ uik[11]*u17;
222:           wp[14]+= uik[12]*u12+ uik[13]*u13+ uik[14]*u14+ uik[15]*u15+ uik[16]*u16+ uik[17]*u17;
223:           wp[15]+= uik[18]*u12+ uik[19]*u13+ uik[20]*u14+ uik[21]*u15+ uik[22]*u16+ uik[23]*u17;
224:           wp[16]+= uik[24]*u12+ uik[25]*u13+ uik[26]*u14+ uik[27]*u15+ uik[28]*u16+ uik[29]*u17;
225:           wp[17]+= uik[30]*u12+ uik[31]*u13+ uik[32]*u14+ uik[33]*u15+ uik[34]*u16+ uik[35]*u17;

227:           wp[18]+=  uik[0]*u18 + uik[1]*u19 + uik[2]*u20 + uik[3]*u21 + uik[4]*u22 + uik[5]*u23;
228:           wp[19]+=  uik[6]*u18 + uik[7]*u19 + uik[8]*u20 + uik[9]*u21+ uik[10]*u22+ uik[11]*u23;
229:           wp[20]+= uik[12]*u18+ uik[13]*u19+ uik[14]*u20+ uik[15]*u21+ uik[16]*u22+ uik[17]*u23;
230:           wp[21]+= uik[18]*u18+ uik[19]*u19+ uik[20]*u20+ uik[21]*u21+ uik[22]*u22+ uik[23]*u23;
231:           wp[22]+= uik[24]*u18+ uik[25]*u19+ uik[26]*u20+ uik[27]*u21+ uik[28]*u22+ uik[29]*u23;
232:           wp[23]+= uik[30]*u18+ uik[31]*u19+ uik[32]*u20+ uik[33]*u21+ uik[34]*u22+ uik[35]*u23;

234:           wp[24]+=  uik[0]*u24 + uik[1]*u25 + uik[2]*u26 + uik[3]*u27 + uik[4]*u28 + uik[5]*u29;
235:           wp[25]+=  uik[6]*u24 + uik[7]*u25 + uik[8]*u26 + uik[9]*u27+ uik[10]*u28+ uik[11]*u29;
236:           wp[26]+= uik[12]*u24+ uik[13]*u25+ uik[14]*u26+ uik[15]*u27+ uik[16]*u28+ uik[17]*u29;
237:           wp[27]+= uik[18]*u24+ uik[19]*u25+ uik[20]*u26+ uik[21]*u27+ uik[22]*u28+ uik[23]*u29;
238:           wp[28]+= uik[24]*u24+ uik[25]*u25+ uik[26]*u26+ uik[27]*u27+ uik[28]*u28+ uik[29]*u29;
239:           wp[29]+= uik[30]*u24+ uik[31]*u25+ uik[32]*u26+ uik[33]*u27+ uik[34]*u28+ uik[35]*u29;

241:           wp[30]+=  uik[0]*u30 + uik[1]*u31 + uik[2]*u32 + uik[3]*u33 + uik[4]*u34 + uik[5]*u35;
242:           wp[31]+=  uik[6]*u30 + uik[7]*u31 + uik[8]*u32 + uik[9]*u33+ uik[10]*u34+ uik[11]*u35;
243:           wp[32]+= uik[12]*u30+ uik[13]*u31+ uik[14]*u32+ uik[15]*u33+ uik[16]*u34+ uik[17]*u35;
244:           wp[33]+= uik[18]*u30+ uik[19]*u31+ uik[20]*u32+ uik[21]*u33+ uik[22]*u34+ uik[23]*u35;
245:           wp[34]+= uik[24]*u30+ uik[25]*u31+ uik[26]*u32+ uik[27]*u33+ uik[28]*u34+ uik[29]*u35;
246:           wp[35]+= uik[30]*u30+ uik[31]*u31+ uik[32]*u32+ uik[33]*u33+ uik[34]*u34+ uik[35]*u35;
247:         }
248:         PetscLogFlops(2.0*216.0*(jmax-jmin));

250:         /* ... add i to row list for next nonzero entry */
251:         il[i] = jmin;             /* update il(i) in column k+1, ... mbs-1 */
252:         j     = bj[jmin];
253:         jl[i] = jl[j]; jl[j] = i; /* update jl */
254:       }
255:       i = nexti;
256:     }

258:     /* save nonzero entries in k-th row of U ... */

260:     /* invert diagonal block */
261:     d    = ba+k*36;
262:     PetscMemcpy(d,dk,36*sizeof(MatScalar));
263:     PetscKernel_A_gets_inverse_A_6(d,shift,allowzeropivot,&zeropivotdetected);
264:     if (zeropivotdetected) C->factorerrortype = MAT_FACTOR_NUMERIC_ZEROPIVOT;

266:     jmin = bi[k]; jmax = bi[k+1];
267:     if (jmin < jmax) {
268:       for (j=jmin; j<jmax; j++) {
269:         vj = bj[j];            /* block col. index of U */
270:         u  = ba + j*36;
271:         wp = w + vj*36;
272:         for (k1=0; k1<36; k1++) {
273:           *u++  = *wp;
274:           *wp++ = 0.0;
275:         }
276:       }

278:       /* ... add k to row list for first nonzero entry in k-th row */
279:       il[k] = jmin;
280:       i     = bj[jmin];
281:       jl[k] = jl[i]; jl[i] = k;
282:     }
283:   }

285:   PetscFree(w);
286:   PetscFree2(il,jl);
287:   PetscFree2(dk,uik);
288:   if (a->permute) {
289:     PetscFree(aa);
290:   }

292:   ISRestoreIndices(perm,&perm_ptr);

294:   C->ops->solve          = MatSolve_SeqSBAIJ_6_inplace;
295:   C->ops->solvetranspose = MatSolve_SeqSBAIJ_6_inplace;
296:   C->assembled           = PETSC_TRUE;
297:   C->preallocated        = PETSC_TRUE;

299:   PetscLogFlops(1.3333*216*b->mbs); /* from inverting diagonal blocks */
300:   return(0);
301: }