1 /*$Id: sbaijfact.c,v 1.56 2001/01/31 19:06:52 balay Exp bsmith $*/ 2 #include "sbaij.h" 3 #include "src/inline/ilu.h" 4 5 /* Version for when blocks are 6 by 6 */ 6 #undef __FUNC__ 7 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_6" 8 int MatCholeskyFactorNumeric_SeqSBAIJ_6(Mat A,Mat *B) 9 { 10 Mat C = *B; 11 Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data,*b = (Mat_SeqSBAIJ *)C->data; 12 IS perm = b->row; 13 int *perm_ptr,ierr,i,j,mbs=a->mbs,*bi=b->i,*bj=b->j; 14 int *ai,*aj,*a2anew,k,k1,jmin,jmax,*jl,*il,vj,nexti,ili; 15 MatScalar *ba = b->a,*aa,*ap,*dk,*uik; 16 MatScalar *u,*d,*w,*wp,u0,u1,u2,u3,u4,u5,u6,u7,u8,u9,u10,u11,u12; 17 MatScalar u13,u14,u15,u16,u17,u18,u19,u20,u21,u22,u23,u24,u25,u26,u27; 18 MatScalar u28,u29,u30,u31,u32,u33,u34,u35; 19 20 PetscFunctionBegin; 21 /* initialization */ 22 ierr = PetscMalloc(36*mbs*sizeof(MatScalar),&w);CHKERRQ(ierr); 23 ierr = PetscMemzero(w,36*mbs*sizeof(MatScalar));CHKERRQ(ierr); 24 ierr = PetscMalloc(2*mbs*sizeof(int),&il);CHKERRQ(ierr); 25 jl = il + mbs; 26 for (i=0; i<mbs; i++) { 27 jl[i] = mbs; il[0] = 0; 28 } 29 ierr = PetscMalloc(72*sizeof(MatScalar),&dk);CHKERRQ(ierr); 30 uik = dk + 36; 31 ierr = ISGetIndices(perm,&perm_ptr);CHKERRQ(ierr); 32 33 /* check permutation */ 34 if (!a->permute){ 35 ai = a->i; aj = a->j; aa = a->a; 36 } else { 37 ai = a->inew; aj = a->jnew; 38 ierr = PetscMalloc(36*ai[mbs]*sizeof(MatScalar),&aa);CHKERRQ(ierr); 39 ierr = PetscMemcpy(aa,a->a,36*ai[mbs]*sizeof(MatScalar));CHKERRQ(ierr); 40 ierr = PetscMalloc(ai[mbs]*sizeof(int),&a2anew);CHKERRQ(ierr); 41 ierr = PetscMemcpy(a2anew,a->a2anew,(ai[mbs])*sizeof(int));CHKERRQ(ierr); 42 43 for (i=0; i<mbs; i++){ 44 jmin = ai[i]; jmax = ai[i+1]; 45 for (j=jmin; j<jmax; j++){ 46 while (a2anew[j] != j){ 47 k = a2anew[j]; a2anew[j] = a2anew[k]; a2anew[k] = k; 48 for (k1=0; k1<36; k1++){ 49 dk[k1] = aa[k*36+k1]; 50 aa[k*36+k1] = aa[j*36+k1]; 51 aa[j*36+k1] = dk[k1]; 52 } 53 } 54 /* transform columnoriented blocks that lie in the lower triangle to roworiented blocks */ 55 if (i > aj[j]){ 56 /* printf("change orientation, row: %d, col: %d\n",i,aj[j]); */ 57 ap = aa + j*36; /* ptr to the beginning of j-th block of aa */ 58 for (k=0; k<36; k++) dk[k] = ap[k]; /* dk <- j-th block of aa */ 59 for (k=0; k<6; k++){ /* j-th block of aa <- dk^T */ 60 for (k1=0; k1<6; k1++) *ap++ = dk[k + 6*k1]; 61 } 62 } 63 } 64 } 65 ierr = PetscFree(a2anew);CHKERRQ(ierr); 66 } 67 68 /* for each row k */ 69 for (k = 0; k<mbs; k++){ 70 71 /*initialize k-th row with elements nonzero in row perm(k) of A */ 72 jmin = ai[perm_ptr[k]]; jmax = ai[perm_ptr[k]+1]; 73 if (jmin < jmax) { 74 ap = aa + jmin*36; 75 for (j = jmin; j < jmax; j++){ 76 vj = perm_ptr[aj[j]]; /* block col. index */ 77 wp = w + vj*36; 78 for (i=0; i<36; i++) *wp++ = *ap++; 79 } 80 } 81 82 /* modify k-th row by adding in those rows i with U(i,k) != 0 */ 83 ierr = PetscMemcpy(dk,w+k*36,36*sizeof(MatScalar));CHKERRQ(ierr); 84 i = jl[k]; /* first row to be added to k_th row */ 85 86 while (i < mbs){ 87 nexti = jl[i]; /* next row to be added to k_th row */ 88 89 /* compute multiplier */ 90 ili = il[i]; /* index of first nonzero element in U(i,k:bms-1) */ 91 92 /* uik = -inv(Di)*U_bar(i,k) */ 93 d = ba + i*36; 94 u = ba + ili*36; 95 96 u0 = u[0]; u1 = u[1]; u2 = u[2]; u3 = u[3]; u4 = u[4]; u5 = u[5]; u6 = u[6]; 97 u7 = u[7]; u8 = u[8]; u9 = u[9]; u10 = u[10]; u11 = u[11]; u12 = u[12]; u13 = u[13]; 98 u14 = u[14]; u15 = u[15]; u16 = u[16]; u17 = u[17]; u18 = u[18]; u19 = u[19]; u20 = u[20]; 99 u21 = u[21]; u22 = u[22]; u23 = u[23]; u24 = u[24]; u25 = u[25]; u26 = u[26]; u27 = u[27]; 100 u28 = u[28]; u29 = u[29]; u30 = u[30]; u31 = u[31]; u32 = u[32]; u33 = u[33]; u34 = u[34]; 101 u35 = u[35]; 102 103 uik[0] = -(d[0]*u0 + d[6]*u1 + d[12]*u2 + d[18]*u3 + d[24]*u4 + d[30]*u5); 104 uik[1] = -(d[1]*u0 + d[7]*u1 + d[13]*u2 + d[19]*u3 + d[25]*u4 + d[31]*u5); 105 uik[2] = -(d[2]*u0 + d[8]*u1 + d[14]*u2 + d[20]*u3 + d[26]*u4 + d[32]*u5); 106 uik[3] = -(d[3]*u0 + d[9]*u1 + d[15]*u2 + d[21]*u3 + d[27]*u4 + d[33]*u5); 107 uik[4] = -(d[4]*u0+ d[10]*u1 + d[16]*u2 + d[22]*u3 + d[28]*u4 + d[34]*u5); 108 uik[5] = -(d[5]*u0+ d[11]*u1 + d[17]*u2 + d[23]*u3 + d[29]*u4 + d[35]*u5); 109 110 uik[6] = -(d[0]*u6 + d[6]*u7 + d[12]*u8 + d[18]*u9 + d[24]*u10 + d[30]*u11); 111 uik[7] = -(d[1]*u6 + d[7]*u7 + d[13]*u8 + d[19]*u9 + d[25]*u10 + d[31]*u11); 112 uik[8] = -(d[2]*u6 + d[8]*u7 + d[14]*u8 + d[20]*u9 + d[26]*u10 + d[32]*u11); 113 uik[9] = -(d[3]*u6 + d[9]*u7 + d[15]*u8 + d[21]*u9 + d[27]*u10 + d[33]*u11); 114 uik[10]= -(d[4]*u6+ d[10]*u7 + d[16]*u8 + d[22]*u9 + d[28]*u10 + d[34]*u11); 115 uik[11]= -(d[5]*u6+ d[11]*u7 + d[17]*u8 + d[23]*u9 + d[29]*u10 + d[35]*u11); 116 117 uik[12] = -(d[0]*u12 + d[6]*u13 + d[12]*u14 + d[18]*u15 + d[24]*u16 + d[30]*u17); 118 uik[13] = -(d[1]*u12 + d[7]*u13 + d[13]*u14 + d[19]*u15 + d[25]*u16 + d[31]*u17); 119 uik[14] = -(d[2]*u12 + d[8]*u13 + d[14]*u14 + d[20]*u15 + d[26]*u16 + d[32]*u17); 120 uik[15] = -(d[3]*u12 + d[9]*u13 + d[15]*u14 + d[21]*u15 + d[27]*u16 + d[33]*u17); 121 uik[16] = -(d[4]*u12+ d[10]*u13 + d[16]*u14 + d[22]*u15 + d[28]*u16 + d[34]*u17); 122 uik[17] = -(d[5]*u12+ d[11]*u13 + d[17]*u14 + d[23]*u15 + d[29]*u16 + d[35]*u17); 123 124 uik[18] = -(d[0]*u18 + d[6]*u19 + d[12]*u20 + d[18]*u21 + d[24]*u22 + d[30]*u23); 125 uik[19] = -(d[1]*u18 + d[7]*u19 + d[13]*u20 + d[19]*u21 + d[25]*u22 + d[31]*u23); 126 uik[20] = -(d[2]*u18 + d[8]*u19 + d[14]*u20 + d[20]*u21 + d[26]*u22 + d[32]*u23); 127 uik[21] = -(d[3]*u18 + d[9]*u19 + d[15]*u20 + d[21]*u21 + d[27]*u22 + d[33]*u23); 128 uik[22] = -(d[4]*u18+ d[10]*u19 + d[16]*u20 + d[22]*u21 + d[28]*u22 + d[34]*u23); 129 uik[23] = -(d[5]*u18+ d[11]*u19 + d[17]*u20 + d[23]*u21 + d[29]*u22 + d[35]*u23); 130 131 uik[24] = -(d[0]*u24 + d[6]*u25 + d[12]*u26 + d[18]*u27 + d[24]*u28 + d[30]*u29); 132 uik[25] = -(d[1]*u24 + d[7]*u25 + d[13]*u26 + d[19]*u27 + d[25]*u28 + d[31]*u29); 133 uik[26] = -(d[2]*u24 + d[8]*u25 + d[14]*u26 + d[20]*u27 + d[26]*u28 + d[32]*u29); 134 uik[27] = -(d[3]*u24 + d[9]*u25 + d[15]*u26 + d[21]*u27 + d[27]*u28 + d[33]*u29); 135 uik[28] = -(d[4]*u24+ d[10]*u25 + d[16]*u26 + d[22]*u27 + d[28]*u28 + d[34]*u29); 136 uik[29] = -(d[5]*u24+ d[11]*u25 + d[17]*u26 + d[23]*u27 + d[29]*u28 + d[35]*u29); 137 138 uik[30] = -(d[0]*u30 + d[6]*u31 + d[12]*u32 + d[18]*u33 + d[24]*u34 + d[30]*u35); 139 uik[31] = -(d[1]*u30 + d[7]*u31 + d[13]*u32 + d[19]*u33 + d[25]*u34 + d[31]*u35); 140 uik[32] = -(d[2]*u30 + d[8]*u31 + d[14]*u32 + d[20]*u33 + d[26]*u34 + d[32]*u35); 141 uik[33] = -(d[3]*u30 + d[9]*u31 + d[15]*u32 + d[21]*u33 + d[27]*u34 + d[33]*u35); 142 uik[34] = -(d[4]*u30+ d[10]*u31 + d[16]*u32 + d[22]*u33 + d[28]*u34 + d[34]*u35); 143 uik[35] = -(d[5]*u30+ d[11]*u31 + d[17]*u32 + d[23]*u33 + d[29]*u34 + d[35]*u35); 144 145 /* update D(k) += -U(i,k)^T * U_bar(i,k) */ 146 dk[0] += uik[0]*u0 + uik[1]*u1 + uik[2]*u2 + uik[3]*u3 + uik[4]*u4 + uik[5]*u5; 147 dk[1] += uik[6]*u0 + uik[7]*u1 + uik[8]*u2 + uik[9]*u3+ uik[10]*u4+ uik[11]*u5; 148 dk[2] += uik[12]*u0+ uik[13]*u1+ uik[14]*u2+ uik[15]*u3+ uik[16]*u4+ uik[17]*u5; 149 dk[3] += uik[18]*u0+ uik[19]*u1+ uik[20]*u2+ uik[21]*u3+ uik[22]*u4+ uik[23]*u5; 150 dk[4] += uik[24]*u0+ uik[25]*u1+ uik[26]*u2+ uik[27]*u3+ uik[28]*u4+ uik[29]*u5; 151 dk[5] += uik[30]*u0+ uik[31]*u1+ uik[32]*u2+ uik[33]*u3+ uik[34]*u4+ uik[35]*u5; 152 153 dk[6] += uik[0]*u6 + uik[1]*u7 + uik[2]*u8 + uik[3]*u9 + uik[4]*u10 + uik[5]*u11; 154 dk[7] += uik[6]*u6 + uik[7]*u7 + uik[8]*u8 + uik[9]*u9+ uik[10]*u10+ uik[11]*u11; 155 dk[8] += uik[12]*u6+ uik[13]*u7+ uik[14]*u8+ uik[15]*u9+ uik[16]*u10+ uik[17]*u11; 156 dk[9] += uik[18]*u6+ uik[19]*u7+ uik[20]*u8+ uik[21]*u9+ uik[22]*u10+ uik[23]*u11; 157 dk[10]+= uik[24]*u6+ uik[25]*u7+ uik[26]*u8+ uik[27]*u9+ uik[28]*u10+ uik[29]*u11; 158 dk[11]+= uik[30]*u6+ uik[31]*u7+ uik[32]*u8+ uik[33]*u9+ uik[34]*u10+ uik[35]*u11; 159 160 dk[12]+= uik[0]*u12 + uik[1]*u13 + uik[2]*u14 + uik[3]*u15 + uik[4]*u16 + uik[5]*u17; 161 dk[13]+= uik[6]*u12 + uik[7]*u13 + uik[8]*u14 + uik[9]*u15+ uik[10]*u16+ uik[11]*u17; 162 dk[14]+= uik[12]*u12+ uik[13]*u13+ uik[14]*u14+ uik[15]*u15+ uik[16]*u16+ uik[17]*u17; 163 dk[15]+= uik[18]*u12+ uik[19]*u13+ uik[20]*u14+ uik[21]*u15+ uik[22]*u16+ uik[23]*u17; 164 dk[16]+= uik[24]*u12+ uik[25]*u13+ uik[26]*u14+ uik[27]*u15+ uik[28]*u16+ uik[29]*u17; 165 dk[17]+= uik[30]*u12+ uik[31]*u13+ uik[32]*u14+ uik[33]*u15+ uik[34]*u16+ uik[35]*u17; 166 167 dk[18]+= uik[0]*u18 + uik[1]*u19 + uik[2]*u20 + uik[3]*u21 + uik[4]*u22 + uik[5]*u23; 168 dk[19]+= uik[6]*u18 + uik[7]*u19 + uik[8]*u20 + uik[9]*u21+ uik[10]*u22+ uik[11]*u23; 169 dk[20]+= uik[12]*u18+ uik[13]*u19+ uik[14]*u20+ uik[15]*u21+ uik[16]*u22+ uik[17]*u23; 170 dk[21]+= uik[18]*u18+ uik[19]*u19+ uik[20]*u20+ uik[21]*u21+ uik[22]*u22+ uik[23]*u23; 171 dk[22]+= uik[24]*u18+ uik[25]*u19+ uik[26]*u20+ uik[27]*u21+ uik[28]*u22+ uik[29]*u23; 172 dk[23]+= uik[30]*u18+ uik[31]*u19+ uik[32]*u20+ uik[33]*u21+ uik[34]*u22+ uik[35]*u23; 173 174 dk[24]+= uik[0]*u24 + uik[1]*u25 + uik[2]*u26 + uik[3]*u27 + uik[4]*u28 + uik[5]*u29; 175 dk[25]+= uik[6]*u24 + uik[7]*u25 + uik[8]*u26 + uik[9]*u27+ uik[10]*u28+ uik[11]*u29; 176 dk[26]+= uik[12]*u24+ uik[13]*u25+ uik[14]*u26+ uik[15]*u27+ uik[16]*u28+ uik[17]*u29; 177 dk[27]+= uik[18]*u24+ uik[19]*u25+ uik[20]*u26+ uik[21]*u27+ uik[22]*u28+ uik[23]*u29; 178 dk[28]+= uik[24]*u24+ uik[25]*u25+ uik[26]*u26+ uik[27]*u27+ uik[28]*u28+ uik[29]*u29; 179 dk[29]+= uik[30]*u24+ uik[31]*u25+ uik[32]*u26+ uik[33]*u27+ uik[34]*u28+ uik[35]*u29; 180 181 dk[30]+= uik[0]*u30 + uik[1]*u31 + uik[2]*u32 + uik[3]*u33 + uik[4]*u34 + uik[5]*u35; 182 dk[31]+= uik[6]*u30 + uik[7]*u31 + uik[8]*u32 + uik[9]*u33+ uik[10]*u34+ uik[11]*u35; 183 dk[32]+= uik[12]*u30+ uik[13]*u31+ uik[14]*u32+ uik[15]*u33+ uik[16]*u34+ uik[17]*u35; 184 dk[33]+= uik[18]*u30+ uik[19]*u31+ uik[20]*u32+ uik[21]*u33+ uik[22]*u34+ uik[23]*u35; 185 dk[34]+= uik[24]*u30+ uik[25]*u31+ uik[26]*u32+ uik[27]*u33+ uik[28]*u34+ uik[29]*u35; 186 dk[35]+= uik[30]*u30+ uik[31]*u31+ uik[32]*u32+ uik[33]*u33+ uik[34]*u34+ uik[35]*u35; 187 188 /* update -U(i,k) */ 189 ierr = PetscMemcpy(ba+ili*36,uik,36*sizeof(MatScalar));CHKERRQ(ierr); 190 191 /* 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; 198 199 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]; 205 206 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; 212 213 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; 219 220 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; 226 227 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; 233 234 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; 240 241 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 } 248 249 /* ... add i to row list for next nonzero entry */ 250 il[i] = jmin; /* update il(i) in column k+1, ... mbs-1 */ 251 j = bj[jmin]; 252 jl[i] = jl[j]; jl[j] = i; /* update jl */ 253 } 254 i = nexti; 255 } 256 257 /* save nonzero entries in k-th row of U ... */ 258 259 /* invert diagonal block */ 260 d = ba+k*36; 261 ierr = PetscMemcpy(d,dk,36*sizeof(MatScalar));CHKERRQ(ierr); 262 ierr = Kernel_A_gets_inverse_A_6(d);CHKERRQ(ierr); 263 264 jmin = bi[k]; jmax = bi[k+1]; 265 if (jmin < jmax) { 266 for (j=jmin; j<jmax; j++){ 267 vj = bj[j]; /* block col. index of U */ 268 u = ba + j*36; 269 wp = w + vj*36; 270 for (k1=0; k1<36; k1++){ 271 *u++ = *wp; 272 *wp++ = 0.0; 273 } 274 } 275 276 /* ... add k to row list for first nonzero entry in k-th row */ 277 il[k] = jmin; 278 i = bj[jmin]; 279 jl[k] = jl[i]; jl[i] = k; 280 } 281 } 282 283 ierr = PetscFree(w);CHKERRQ(ierr); 284 ierr = PetscFree(il);CHKERRQ(ierr); 285 ierr = PetscFree(dk);CHKERRQ(ierr); 286 if (a->permute){ 287 ierr = PetscFree(aa);CHKERRQ(ierr); 288 } 289 290 ierr = ISRestoreIndices(perm,&perm_ptr);CHKERRQ(ierr); 291 C->factor = FACTOR_CHOLESKY; 292 C->assembled = PETSC_TRUE; 293 C->preallocated = PETSC_TRUE; 294 PetscLogFlops(1.3333*216*b->mbs); /* from inverting diagonal blocks */ 295 PetscFunctionReturn(0); 296 } 297