1 /* Using Modified Sparse Row (MSR) storage. 2 See page 85, "Iterative Methods ..." by Saad. */ 3 4 /*$Id: sbaijfact.c,v 1.10 2000/07/31 16:47:25 hzhang Exp hzhang $*/ 5 /* 6 Factorization code for SBAIJ format. 7 */ 8 #include "sbaij.h" 9 #include "src/mat/impls/baij/seq/baij.h" 10 #include "src/vec/vecimpl.h" 11 #include "src/inline/ilu.h" 12 13 #undef __FUNC__ 14 #define __FUNC__ "MatCholeskyFactorSymbolic_SeqSBAIJ" 15 int MatCholeskyFactorSymbolic_SeqSBAIJ(Mat A,IS perm,PetscReal f,Mat *B) 16 { 17 Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data,*b; 18 IS iperm; 19 int *rip,*riip,ierr,i,mbs = a->mbs,*ai = a->i,*aj = a->j; 20 int *jutmp,bs = a->bs,bs2=a->bs2; 21 int m,nzi,realloc = 0; 22 int *jl,*q,jumin,jmin,jmax,juptr,nzk,qm,*iu,*ju,k,j,vj,umax,maxadd; 23 24 PetscFunctionBegin; 25 PetscValidHeaderSpecific(perm,IS_COOKIE); 26 if (A->M != A->N) SETERRQ(PETSC_ERR_ARG_WRONG,0,"matrix must be square"); 27 ierr = ISInvertPermutation(perm,PETSC_DECIDE,&iperm);CHKERRQ(ierr); 28 ierr = ISGetIndices(perm,&rip);CHKERRQ(ierr); 29 ierr = ISGetIndices(iperm,&riip);CHKERRQ(ierr); 30 31 /* initialization */ 32 /* Don't know how many column pointers are needed so estimate. 33 Use Modified Sparse Row storage for u and ju, see Sasd pp.85 */ 34 iu = (int*)PetscMalloc((mbs+1)*sizeof(int));CHKPTRQ(iu); 35 umax = (int)(f*ai[mbs] + 1); umax += mbs + 1; 36 ju = (int*)PetscMalloc(umax*sizeof(int));CHKPTRQ(ju); 37 iu[0] = mbs+1; 38 juptr = mbs; 39 jl = (int*)PetscMalloc(mbs*sizeof(int));CHKPTRQ(jl); 40 q = (int*)PetscMalloc(mbs*sizeof(int));CHKPTRQ(q); 41 for (i=0; i<mbs; i++){ 42 jl[i] = mbs; q[i] = 0; 43 } 44 45 /* for each row k */ 46 for (k=0; k<mbs; k++){ 47 nzk = 0; /* num. of nz blocks in k-th block row with diagonal block excluded */ 48 q[k] = mbs; 49 /* initialize nonzero structure of k-th row to row rip[k] of A */ 50 jmin = ai[rip[k]]; 51 jmax = ai[rip[k]+1]; 52 for (j=jmin; j<jmax; j++){ 53 vj = riip[aj[j]]; /* col. value */ 54 if(vj > k){ 55 qm = k; 56 do { 57 m = qm; qm = q[m]; 58 } while(qm < vj); 59 if (qm == vj) { 60 printf(" error: duplicate entry in A\n"); break; 61 } 62 nzk++; 63 q[m] = vj; 64 q[vj] = qm; 65 } /* if(vj > k) */ 66 } /* for (j=jmin; j<jmax; j++) */ 67 68 /* modify nonzero structure of k-th row by computing fill-in 69 for each row i to be merged in */ 70 i = k; 71 i = jl[i]; /* next pivot row (== mbs for symbolic factorization) */ 72 /* printf(" next pivot row i=%d\n",i); */ 73 while (i < mbs){ 74 /* merge row i into k-th row */ 75 nzi = iu[i+1] - (iu[i]+1); 76 jmin = iu[i] + 1; jmax = iu[i] + nzi; 77 qm = k; 78 for (j=jmin; j<jmax+1; j++){ 79 vj = ju[j]; 80 do { 81 m = qm; qm = q[m]; 82 } while (qm < vj); 83 if (qm != vj){ 84 nzk++; q[m] = vj; q[vj] = qm; qm = vj; 85 } 86 } 87 i = jl[i]; /* next pivot row */ 88 } 89 90 /* add k to row list for first nonzero element in k-th row */ 91 if (nzk > 0){ 92 i = q[k]; /* col value of first nonzero element in U(k, k+1:mbs-1) */ 93 jl[k] = jl[i]; jl[i] = k; 94 } 95 iu[k+1] = iu[k] + nzk; /* printf(" iu[%d]=%d, umax=%d\n", k+1, iu[k+1],umax);*/ 96 97 /* allocate more space to ju if needed */ 98 if (iu[k+1] > umax) { printf("allocate more space, iu[%d]=%d > umax=%d\n",k+1, iu[k+1],umax); 99 /* estimate how much additional space we will need */ 100 /* use the strategy suggested by David Hysom <hysom@perch-t.icase.edu> */ 101 /* just double the memory each time */ 102 maxadd = umax; 103 if (maxadd < nzk) maxadd = (mbs-k)*(nzk+1)/2; 104 umax += maxadd; 105 106 /* allocate a longer ju */ 107 jutmp = (int*)PetscMalloc(umax*sizeof(int));CHKPTRQ(jutmp); 108 ierr = PetscMemcpy(jutmp,ju,iu[k]*sizeof(int));CHKERRQ(ierr); 109 ierr = PetscFree(ju);CHKERRQ(ierr); 110 ju = jutmp; 111 realloc++; /* count how many times we realloc */ 112 } 113 114 /* save nonzero structure of k-th row in ju */ 115 i=k; 116 jumin = juptr + 1; juptr += nzk; 117 for (j=jumin; j<juptr+1; j++){ 118 i=q[i]; 119 ju[j]=i; 120 } 121 } 122 123 if (ai[mbs] != 0) { 124 PetscReal af = ((PetscReal)iu[mbs])/((PetscReal)ai[mbs]); 125 PLogInfo(A,"MatCholeskyFactorSymbolic_SeqSBAIJ:Reallocs %d Fill ratio:given %g needed %g\n",realloc,f,af); 126 PLogInfo(A,"MatCholeskyFactorSymbolic_SeqSBAIJ:Run with -pc_lu_fill %g or use \n",af); 127 PLogInfo(A,"MatCholeskyFactorSymbolic_SeqSBAIJ:PCLUSetFill(pc,%g);\n",af); 128 PLogInfo(A,"MatCholeskyFactorSymbolic_SeqSBAIJ:for best performance.\n"); 129 } else { 130 PLogInfo(A,"MatCholeskyFactorSymbolic_SeqSBAIJ:Empty matrix.\n"); 131 } 132 133 ierr = ISRestoreIndices(perm,&rip);CHKERRQ(ierr); 134 ierr = ISRestoreIndices(iperm,&riip);CHKERRQ(ierr); 135 136 ierr = PetscFree(q);CHKERRQ(ierr); 137 ierr = PetscFree(jl);CHKERRQ(ierr); 138 139 /* put together the new matrix */ 140 ierr = MatCreateSeqSBAIJ(A->comm,bs,bs*mbs,bs*mbs,0,PETSC_NULL,B);CHKERRQ(ierr); 141 PLogObjectParent(*B,iperm); 142 b = (Mat_SeqSBAIJ*)(*B)->data; 143 ierr = PetscFree(b->imax);CHKERRQ(ierr); 144 b->singlemalloc = PETSC_FALSE; 145 /* the next line frees the default space generated by the Create() */ 146 ierr = PetscFree(b->a);CHKERRQ(ierr); 147 ierr = PetscFree(b->ilen);CHKERRQ(ierr); 148 b->a = (MatScalar*)PetscMalloc((iu[mbs]+1)*sizeof(MatScalar)*bs2);CHKPTRQ(b->a); 149 b->j = ju; 150 b->i = iu; 151 b->diag = 0; 152 b->ilen = 0; 153 b->imax = 0; 154 b->row = perm; 155 b->col = perm; 156 ierr = PetscObjectReference((PetscObject)perm);CHKERRQ(ierr); 157 ierr = PetscObjectReference((PetscObject)perm);CHKERRQ(ierr); 158 b->icol = iperm; 159 b->solve_work = (Scalar*)PetscMalloc((bs*mbs+bs)*sizeof(Scalar));CHKPTRQ(b->solve_work); 160 /* In b structure: Free imax, ilen, old a, old j. 161 Allocate idnew, solve_work, new a, new j */ 162 PLogObjectMemory(*B,(iu[mbs]-mbs)*(sizeof(int)+sizeof(MatScalar))); 163 b->s_maxnz = b->s_nz = iu[mbs]; 164 165 (*B)->factor = FACTOR_LU; 166 (*B)->info.factor_mallocs = realloc; 167 (*B)->info.fill_ratio_given = f; 168 if (ai[mbs] != 0) { 169 (*B)->info.fill_ratio_needed = ((PetscReal)iu[mbs])/((PetscReal)ai[mbs]); 170 } else { 171 (*B)->info.fill_ratio_needed = 0.0; 172 } 173 174 175 PetscFunctionReturn(0); 176 } 177 178 /* ----------------------------------------------------------- */ 179 #undef __FUNC__ 180 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_N" 181 int MatCholeskyFactorNumeric_SeqSBAIJ_N(Mat A,Mat *B) 182 { 183 Mat C = *B; 184 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 185 IS isrow = b->row,isicol = b->icol; 186 int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 187 int *ajtmpold,*ajtmp,nz,row,bslog,*ai=a->i,*aj=a->j,k,flg; 188 int *diag_offset=b->diag,diag,bs=a->bs,bs2 = a->bs2,*v_pivots,*pj; 189 MatScalar *ba = b->a,*aa = a->a,*pv,*v,*rtmp,*multiplier,*v_work,*pc,*w; 190 191 PetscFunctionBegin; 192 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 193 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 194 rtmp = (MatScalar*)PetscMalloc(bs2*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 195 ierr = PetscMemzero(rtmp,bs2*(n+1)*sizeof(MatScalar));CHKERRQ(ierr); 196 /* generate work space needed by dense LU factorization */ 197 v_work = (MatScalar*)PetscMalloc(bs*sizeof(int) + (bs+bs2)*sizeof(MatScalar));CHKPTRQ(v_work); 198 multiplier = v_work + bs; 199 v_pivots = (int*)(multiplier + bs2); 200 201 /* flops in while loop */ 202 bslog = 2*bs*bs2; 203 204 for (i=0; i<n; i++) { 205 nz = bi[i+1] - bi[i]; 206 ajtmp = bj + bi[i]; 207 for (j=0; j<nz; j++) { 208 ierr = PetscMemzero(rtmp+bs2*ajtmp[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 209 } 210 /* load in initial (unfactored row) */ 211 nz = ai[r[i]+1] - ai[r[i]]; 212 ajtmpold = aj + ai[r[i]]; 213 v = aa + bs2*ai[r[i]]; 214 for (j=0; j<nz; j++) { 215 ierr = PetscMemcpy(rtmp+bs2*ic[ajtmpold[j]],v+bs2*j,bs2*sizeof(MatScalar));CHKERRQ(ierr); 216 } 217 row = *ajtmp++; 218 while (row < i) { 219 pc = rtmp + bs2*row; 220 /* if (*pc) { */ 221 for (flg=0,k=0; k<bs2; k++) { if (pc[k]!=0.0) { flg =1; break; }} 222 if (flg) { 223 pv = ba + bs2*diag_offset[row]; 224 pj = bj + diag_offset[row] + 1; 225 Kernel_A_gets_A_times_B(bs,pc,pv,multiplier); 226 nz = bi[row+1] - diag_offset[row] - 1; 227 pv += bs2; 228 for (j=0; j<nz; j++) { 229 Kernel_A_gets_A_minus_B_times_C(bs,rtmp+bs2*pj[j],pc,pv+bs2*j); 230 } 231 PLogFlops(bslog*(nz+1)-bs); 232 } 233 row = *ajtmp++; 234 } 235 /* finished row so stick it into b->a */ 236 pv = ba + bs2*bi[i]; 237 pj = bj + bi[i]; 238 nz = bi[i+1] - bi[i]; 239 for (j=0; j<nz; j++) { 240 ierr = PetscMemcpy(pv+bs2*j,rtmp+bs2*pj[j],bs2*sizeof(MatScalar));CHKERRQ(ierr); 241 } 242 diag = diag_offset[i] - bi[i]; 243 /* invert diagonal block */ 244 w = pv + bs2*diag; 245 Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work); 246 } 247 248 ierr = PetscFree(rtmp);CHKERRQ(ierr); 249 ierr = PetscFree(v_work);CHKERRQ(ierr); 250 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 251 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 252 C->factor = FACTOR_LU; 253 C->assembled = PETSC_TRUE; 254 PLogFlops(1.3333*bs*bs2*b->mbs); /* from inverting diagonal blocks */ 255 PetscFunctionReturn(0); 256 } 257 /* ------------------------------------------------------------*/ 258 /* 259 Version for when blocks are 7 by 7 260 */ 261 #undef __FUNC__ 262 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_7" 263 int MatCholeskyFactorNumeric_SeqSBAIJ_7(Mat A,Mat *B) 264 { 265 Mat C = *B; 266 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 267 IS isrow = b->row,isicol = b->icol; 268 int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 269 int *ajtmpold,*ajtmp,nz,row; 270 int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj; 271 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 272 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 273 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 274 MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 275 MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 276 MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 277 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 278 MatScalar p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49; 279 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 280 MatScalar x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49; 281 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 282 MatScalar m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49; 283 MatScalar *ba = b->a,*aa = a->a; 284 285 PetscFunctionBegin; 286 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 287 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 288 rtmp = (MatScalar*)PetscMalloc(49*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 289 290 for (i=0; i<n; i++) { 291 nz = bi[i+1] - bi[i]; 292 ajtmp = bj + bi[i]; 293 for (j=0; j<nz; j++) { 294 x = rtmp+49*ajtmp[j]; 295 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 296 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 297 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 298 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 299 x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ; 300 x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0 ; 301 } 302 /* load in initial (unfactored row) */ 303 idx = r[i]; 304 nz = ai[idx+1] - ai[idx]; 305 ajtmpold = aj + ai[idx]; 306 v = aa + 49*ai[idx]; 307 for (j=0; j<nz; j++) { 308 x = rtmp+49*ic[ajtmpold[j]]; 309 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 310 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 311 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 312 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 313 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 314 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 315 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 316 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 317 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 318 x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 319 x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 320 x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 321 x[48] = v[48]; 322 v += 49; 323 } 324 row = *ajtmp++; 325 while (row < i) { 326 pc = rtmp + 49*row; 327 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 328 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 329 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 330 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 331 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 332 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 333 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 334 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 335 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 336 p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 337 p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 338 p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 339 p49 = pc[48]; 340 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 341 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 342 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 343 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 344 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 345 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 346 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 347 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 348 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 349 p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 350 p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 351 p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 352 p49 != 0.0) { 353 pv = ba + 49*diag_offset[row]; 354 pj = bj + diag_offset[row] + 1; 355 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 356 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 357 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 358 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 359 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 360 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 361 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 362 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 363 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 364 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 365 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 366 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 367 x49 = pv[48]; 368 pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 369 pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 370 pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 371 pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 372 pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 373 pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 374 pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 375 376 pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 377 pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 378 pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 379 pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 380 pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 381 pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 382 pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 383 384 pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 385 pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 386 pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 387 pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 388 pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 389 pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 390 pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 391 392 pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 393 pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 394 pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 395 pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 396 pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 397 pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 398 pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 399 400 pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 401 pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 402 pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 403 pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 404 pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 405 pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 406 pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 407 408 pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 409 pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 410 pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 411 pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 412 pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 413 pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 414 pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 415 416 pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 417 pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 418 pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 419 pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 420 pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 421 pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 422 pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 423 424 nz = bi[row+1] - diag_offset[row] - 1; 425 pv += 49; 426 for (j=0; j<nz; j++) { 427 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 428 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 429 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 430 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 431 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 432 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 433 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 434 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 435 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 436 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 437 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 438 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 439 x49 = pv[48]; 440 x = rtmp + 49*pj[j]; 441 x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 442 x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 443 x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 444 x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 445 x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 446 x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 447 x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 448 449 x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 450 x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 451 x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 452 x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 453 x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 454 x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 455 x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 456 457 x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 458 x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 459 x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 460 x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 461 x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 462 x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 463 x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 464 465 x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 466 x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 467 x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 468 x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 469 x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 470 x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 471 x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 472 473 x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 474 x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 475 x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 476 x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 477 x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 478 x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 479 x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 480 481 x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 482 x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 483 x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 484 x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 485 x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 486 x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 487 x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 488 489 x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 490 x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 491 x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 492 x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 493 x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 494 x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 495 x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 496 pv += 49; 497 } 498 PLogFlops(686*nz+637); 499 } 500 row = *ajtmp++; 501 } 502 /* finished row so stick it into b->a */ 503 pv = ba + 49*bi[i]; 504 pj = bj + bi[i]; 505 nz = bi[i+1] - bi[i]; 506 for (j=0; j<nz; j++) { 507 x = rtmp+49*pj[j]; 508 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 509 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 510 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 511 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 512 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 513 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 514 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 515 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 516 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 517 pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 518 pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 519 pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 520 pv[48] = x[48]; 521 pv += 49; 522 } 523 /* invert diagonal block */ 524 w = ba + 49*diag_offset[i]; 525 ierr = Kernel_A_gets_inverse_A_7(w);CHKERRQ(ierr); 526 } 527 528 ierr = PetscFree(rtmp);CHKERRQ(ierr); 529 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 530 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 531 C->factor = FACTOR_LU; 532 C->assembled = PETSC_TRUE; 533 PLogFlops(1.3333*343*b->mbs); /* from inverting diagonal blocks */ 534 PetscFunctionReturn(0); 535 } 536 537 /* 538 Version for when blocks are 7 by 7 Using natural ordering 539 */ 540 #undef __FUNC__ 541 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_7_NaturalOrdering" 542 int MatCholeskyFactorNumeric_SeqSBAIJ_7_NaturalOrdering(Mat A,Mat *B) 543 { 544 Mat C = *B; 545 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 546 int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 547 int *ajtmpold,*ajtmp,nz,row; 548 int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 549 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 550 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 551 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 552 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 553 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 554 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 555 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 556 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 557 MatScalar p37,p38,p39,p40,p41,p42,p43,p44,p45,p46,p47,p48,p49; 558 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 559 MatScalar x37,x38,x39,x40,x41,x42,x43,x44,x45,x46,x47,x48,x49; 560 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 561 MatScalar m37,m38,m39,m40,m41,m42,m43,m44,m45,m46,m47,m48,m49; 562 MatScalar *ba = b->a,*aa = a->a; 563 564 PetscFunctionBegin; 565 rtmp = (MatScalar*)PetscMalloc(49*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 566 for (i=0; i<n; i++) { 567 nz = bi[i+1] - bi[i]; 568 ajtmp = bj + bi[i]; 569 for (j=0; j<nz; j++) { 570 x = rtmp+49*ajtmp[j]; 571 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 572 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 573 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 574 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 575 x[34] = x[35] = x[36] = x[37] = x[38] = x[39] = x[40] = x[41] = 0.0 ; 576 x[42] = x[43] = x[44] = x[45] = x[46] = x[47] = x[48] = 0.0 ; 577 } 578 /* load in initial (unfactored row) */ 579 nz = ai[i+1] - ai[i]; 580 ajtmpold = aj + ai[i]; 581 v = aa + 49*ai[i]; 582 for (j=0; j<nz; j++) { 583 x = rtmp+49*ajtmpold[j]; 584 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 585 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 586 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 587 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 588 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 589 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 590 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 591 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 592 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 593 x[36] = v[36]; x[37] = v[37]; x[38] = v[38]; x[39] = v[39]; 594 x[40] = v[40]; x[41] = v[41]; x[42] = v[42]; x[43] = v[43]; 595 x[44] = v[44]; x[45] = v[45]; x[46] = v[46]; x[47] = v[47]; 596 x[48] = v[48]; 597 v += 49; 598 } 599 row = *ajtmp++; 600 while (row < i) { 601 pc = rtmp + 49*row; 602 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 603 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 604 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 605 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 606 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 607 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 608 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 609 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 610 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 611 p37 = pc[36]; p38 = pc[37]; p39 = pc[38]; p40 = pc[39]; 612 p41 = pc[40]; p42 = pc[41]; p43 = pc[42]; p44 = pc[43]; 613 p45 = pc[44]; p46 = pc[45]; p47 = pc[46]; p48 = pc[47]; 614 p49 = pc[48]; 615 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 616 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 617 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 618 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 619 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 620 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 621 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 622 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 623 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0 || 624 p37 != 0.0 || p38 != 0.0 || p39 != 0.0 || p40 != 0.0 || 625 p41 != 0.0 || p42 != 0.0 || p43 != 0.0 || p44 != 0.0 || 626 p45 != 0.0 || p46 != 0.0 || p47 != 0.0 || p48 != 0.0 || 627 p49 != 0.0) { 628 pv = ba + 49*diag_offset[row]; 629 pj = bj + diag_offset[row] + 1; 630 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 631 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 632 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 633 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 634 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 635 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 636 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 637 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 638 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 639 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 640 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 641 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 642 x49 = pv[48]; 643 pc[0] = m1 = p1*x1 + p8*x2 + p15*x3 + p22*x4 + p29*x5 + p36*x6 + p43*x7; 644 pc[1] = m2 = p2*x1 + p9*x2 + p16*x3 + p23*x4 + p30*x5 + p37*x6 + p44*x7; 645 pc[2] = m3 = p3*x1 + p10*x2 + p17*x3 + p24*x4 + p31*x5 + p38*x6 + p45*x7; 646 pc[3] = m4 = p4*x1 + p11*x2 + p18*x3 + p25*x4 + p32*x5 + p39*x6 + p46*x7; 647 pc[4] = m5 = p5*x1 + p12*x2 + p19*x3 + p26*x4 + p33*x5 + p40*x6 + p47*x7; 648 pc[5] = m6 = p6*x1 + p13*x2 + p20*x3 + p27*x4 + p34*x5 + p41*x6 + p48*x7; 649 pc[6] = m7 = p7*x1 + p14*x2 + p21*x3 + p28*x4 + p35*x5 + p42*x6 + p49*x7; 650 651 pc[7] = m8 = p1*x8 + p8*x9 + p15*x10 + p22*x11 + p29*x12 + p36*x13 + p43*x14; 652 pc[8] = m9 = p2*x8 + p9*x9 + p16*x10 + p23*x11 + p30*x12 + p37*x13 + p44*x14; 653 pc[9] = m10 = p3*x8 + p10*x9 + p17*x10 + p24*x11 + p31*x12 + p38*x13 + p45*x14; 654 pc[10] = m11 = p4*x8 + p11*x9 + p18*x10 + p25*x11 + p32*x12 + p39*x13 + p46*x14; 655 pc[11] = m12 = p5*x8 + p12*x9 + p19*x10 + p26*x11 + p33*x12 + p40*x13 + p47*x14; 656 pc[12] = m13 = p6*x8 + p13*x9 + p20*x10 + p27*x11 + p34*x12 + p41*x13 + p48*x14; 657 pc[13] = m14 = p7*x8 + p14*x9 + p21*x10 + p28*x11 + p35*x12 + p42*x13 + p49*x14; 658 659 pc[14] = m15 = p1*x15 + p8*x16 + p15*x17 + p22*x18 + p29*x19 + p36*x20 + p43*x21; 660 pc[15] = m16 = p2*x15 + p9*x16 + p16*x17 + p23*x18 + p30*x19 + p37*x20 + p44*x21; 661 pc[16] = m17 = p3*x15 + p10*x16 + p17*x17 + p24*x18 + p31*x19 + p38*x20 + p45*x21; 662 pc[17] = m18 = p4*x15 + p11*x16 + p18*x17 + p25*x18 + p32*x19 + p39*x20 + p46*x21; 663 pc[18] = m19 = p5*x15 + p12*x16 + p19*x17 + p26*x18 + p33*x19 + p40*x20 + p47*x21; 664 pc[19] = m20 = p6*x15 + p13*x16 + p20*x17 + p27*x18 + p34*x19 + p41*x20 + p48*x21; 665 pc[20] = m21 = p7*x15 + p14*x16 + p21*x17 + p28*x18 + p35*x19 + p42*x20 + p49*x21; 666 667 pc[21] = m22 = p1*x22 + p8*x23 + p15*x24 + p22*x25 + p29*x26 + p36*x27 + p43*x28; 668 pc[22] = m23 = p2*x22 + p9*x23 + p16*x24 + p23*x25 + p30*x26 + p37*x27 + p44*x28; 669 pc[23] = m24 = p3*x22 + p10*x23 + p17*x24 + p24*x25 + p31*x26 + p38*x27 + p45*x28; 670 pc[24] = m25 = p4*x22 + p11*x23 + p18*x24 + p25*x25 + p32*x26 + p39*x27 + p46*x28; 671 pc[25] = m26 = p5*x22 + p12*x23 + p19*x24 + p26*x25 + p33*x26 + p40*x27 + p47*x28; 672 pc[26] = m27 = p6*x22 + p13*x23 + p20*x24 + p27*x25 + p34*x26 + p41*x27 + p48*x28; 673 pc[27] = m28 = p7*x22 + p14*x23 + p21*x24 + p28*x25 + p35*x26 + p42*x27 + p49*x28; 674 675 pc[28] = m29 = p1*x29 + p8*x30 + p15*x31 + p22*x32 + p29*x33 + p36*x34 + p43*x35; 676 pc[29] = m30 = p2*x29 + p9*x30 + p16*x31 + p23*x32 + p30*x33 + p37*x34 + p44*x35; 677 pc[30] = m31 = p3*x29 + p10*x30 + p17*x31 + p24*x32 + p31*x33 + p38*x34 + p45*x35; 678 pc[31] = m32 = p4*x29 + p11*x30 + p18*x31 + p25*x32 + p32*x33 + p39*x34 + p46*x35; 679 pc[32] = m33 = p5*x29 + p12*x30 + p19*x31 + p26*x32 + p33*x33 + p40*x34 + p47*x35; 680 pc[33] = m34 = p6*x29 + p13*x30 + p20*x31 + p27*x32 + p34*x33 + p41*x34 + p48*x35; 681 pc[34] = m35 = p7*x29 + p14*x30 + p21*x31 + p28*x32 + p35*x33 + p42*x34 + p49*x35; 682 683 pc[35] = m36 = p1*x36 + p8*x37 + p15*x38 + p22*x39 + p29*x40 + p36*x41 + p43*x42; 684 pc[36] = m37 = p2*x36 + p9*x37 + p16*x38 + p23*x39 + p30*x40 + p37*x41 + p44*x42; 685 pc[37] = m38 = p3*x36 + p10*x37 + p17*x38 + p24*x39 + p31*x40 + p38*x41 + p45*x42; 686 pc[38] = m39 = p4*x36 + p11*x37 + p18*x38 + p25*x39 + p32*x40 + p39*x41 + p46*x42; 687 pc[39] = m40 = p5*x36 + p12*x37 + p19*x38 + p26*x39 + p33*x40 + p40*x41 + p47*x42; 688 pc[40] = m41 = p6*x36 + p13*x37 + p20*x38 + p27*x39 + p34*x40 + p41*x41 + p48*x42; 689 pc[41] = m42 = p7*x36 + p14*x37 + p21*x38 + p28*x39 + p35*x40 + p42*x41 + p49*x42; 690 691 pc[42] = m43 = p1*x43 + p8*x44 + p15*x45 + p22*x46 + p29*x47 + p36*x48 + p43*x49; 692 pc[43] = m44 = p2*x43 + p9*x44 + p16*x45 + p23*x46 + p30*x47 + p37*x48 + p44*x49; 693 pc[44] = m45 = p3*x43 + p10*x44 + p17*x45 + p24*x46 + p31*x47 + p38*x48 + p45*x49; 694 pc[45] = m46 = p4*x43 + p11*x44 + p18*x45 + p25*x46 + p32*x47 + p39*x48 + p46*x49; 695 pc[46] = m47 = p5*x43 + p12*x44 + p19*x45 + p26*x46 + p33*x47 + p40*x48 + p47*x49; 696 pc[47] = m48 = p6*x43 + p13*x44 + p20*x45 + p27*x46 + p34*x47 + p41*x48 + p48*x49; 697 pc[48] = m49 = p7*x43 + p14*x44 + p21*x45 + p28*x46 + p35*x47 + p42*x48 + p49*x49; 698 699 nz = bi[row+1] - diag_offset[row] - 1; 700 pv += 49; 701 for (j=0; j<nz; j++) { 702 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 703 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 704 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 705 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 706 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 707 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 708 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 709 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 710 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 711 x37 = pv[36]; x38 = pv[37]; x39 = pv[38]; x40 = pv[39]; 712 x41 = pv[40]; x42 = pv[41]; x43 = pv[42]; x44 = pv[43]; 713 x45 = pv[44]; x46 = pv[45]; x47 = pv[46]; x48 = pv[47]; 714 x49 = pv[48]; 715 x = rtmp + 49*pj[j]; 716 x[0] -= m1*x1 + m8*x2 + m15*x3 + m22*x4 + m29*x5 + m36*x6 + m43*x7; 717 x[1] -= m2*x1 + m9*x2 + m16*x3 + m23*x4 + m30*x5 + m37*x6 + m44*x7; 718 x[2] -= m3*x1 + m10*x2 + m17*x3 + m24*x4 + m31*x5 + m38*x6 + m45*x7; 719 x[3] -= m4*x1 + m11*x2 + m18*x3 + m25*x4 + m32*x5 + m39*x6 + m46*x7; 720 x[4] -= m5*x1 + m12*x2 + m19*x3 + m26*x4 + m33*x5 + m40*x6 + m47*x7; 721 x[5] -= m6*x1 + m13*x2 + m20*x3 + m27*x4 + m34*x5 + m41*x6 + m48*x7; 722 x[6] -= m7*x1 + m14*x2 + m21*x3 + m28*x4 + m35*x5 + m42*x6 + m49*x7; 723 724 x[7] -= m1*x8 + m8*x9 + m15*x10 + m22*x11 + m29*x12 + m36*x13 + m43*x14; 725 x[8] -= m2*x8 + m9*x9 + m16*x10 + m23*x11 + m30*x12 + m37*x13 + m44*x14; 726 x[9] -= m3*x8 + m10*x9 + m17*x10 + m24*x11 + m31*x12 + m38*x13 + m45*x14; 727 x[10] -= m4*x8 + m11*x9 + m18*x10 + m25*x11 + m32*x12 + m39*x13 + m46*x14; 728 x[11] -= m5*x8 + m12*x9 + m19*x10 + m26*x11 + m33*x12 + m40*x13 + m47*x14; 729 x[12] -= m6*x8 + m13*x9 + m20*x10 + m27*x11 + m34*x12 + m41*x13 + m48*x14; 730 x[13] -= m7*x8 + m14*x9 + m21*x10 + m28*x11 + m35*x12 + m42*x13 + m49*x14; 731 732 x[14] -= m1*x15 + m8*x16 + m15*x17 + m22*x18 + m29*x19 + m36*x20 + m43*x21; 733 x[15] -= m2*x15 + m9*x16 + m16*x17 + m23*x18 + m30*x19 + m37*x20 + m44*x21; 734 x[16] -= m3*x15 + m10*x16 + m17*x17 + m24*x18 + m31*x19 + m38*x20 + m45*x21; 735 x[17] -= m4*x15 + m11*x16 + m18*x17 + m25*x18 + m32*x19 + m39*x20 + m46*x21; 736 x[18] -= m5*x15 + m12*x16 + m19*x17 + m26*x18 + m33*x19 + m40*x20 + m47*x21; 737 x[19] -= m6*x15 + m13*x16 + m20*x17 + m27*x18 + m34*x19 + m41*x20 + m48*x21; 738 x[20] -= m7*x15 + m14*x16 + m21*x17 + m28*x18 + m35*x19 + m42*x20 + m49*x21; 739 740 x[21] -= m1*x22 + m8*x23 + m15*x24 + m22*x25 + m29*x26 + m36*x27 + m43*x28; 741 x[22] -= m2*x22 + m9*x23 + m16*x24 + m23*x25 + m30*x26 + m37*x27 + m44*x28; 742 x[23] -= m3*x22 + m10*x23 + m17*x24 + m24*x25 + m31*x26 + m38*x27 + m45*x28; 743 x[24] -= m4*x22 + m11*x23 + m18*x24 + m25*x25 + m32*x26 + m39*x27 + m46*x28; 744 x[25] -= m5*x22 + m12*x23 + m19*x24 + m26*x25 + m33*x26 + m40*x27 + m47*x28; 745 x[26] -= m6*x22 + m13*x23 + m20*x24 + m27*x25 + m34*x26 + m41*x27 + m48*x28; 746 x[27] -= m7*x22 + m14*x23 + m21*x24 + m28*x25 + m35*x26 + m42*x27 + m49*x28; 747 748 x[28] -= m1*x29 + m8*x30 + m15*x31 + m22*x32 + m29*x33 + m36*x34 + m43*x35; 749 x[29] -= m2*x29 + m9*x30 + m16*x31 + m23*x32 + m30*x33 + m37*x34 + m44*x35; 750 x[30] -= m3*x29 + m10*x30 + m17*x31 + m24*x32 + m31*x33 + m38*x34 + m45*x35; 751 x[31] -= m4*x29 + m11*x30 + m18*x31 + m25*x32 + m32*x33 + m39*x34 + m46*x35; 752 x[32] -= m5*x29 + m12*x30 + m19*x31 + m26*x32 + m33*x33 + m40*x34 + m47*x35; 753 x[33] -= m6*x29 + m13*x30 + m20*x31 + m27*x32 + m34*x33 + m41*x34 + m48*x35; 754 x[34] -= m7*x29 + m14*x30 + m21*x31 + m28*x32 + m35*x33 + m42*x34 + m49*x35; 755 756 x[35] -= m1*x36 + m8*x37 + m15*x38 + m22*x39 + m29*x40 + m36*x41 + m43*x42; 757 x[36] -= m2*x36 + m9*x37 + m16*x38 + m23*x39 + m30*x40 + m37*x41 + m44*x42; 758 x[37] -= m3*x36 + m10*x37 + m17*x38 + m24*x39 + m31*x40 + m38*x41 + m45*x42; 759 x[38] -= m4*x36 + m11*x37 + m18*x38 + m25*x39 + m32*x40 + m39*x41 + m46*x42; 760 x[39] -= m5*x36 + m12*x37 + m19*x38 + m26*x39 + m33*x40 + m40*x41 + m47*x42; 761 x[40] -= m6*x36 + m13*x37 + m20*x38 + m27*x39 + m34*x40 + m41*x41 + m48*x42; 762 x[41] -= m7*x36 + m14*x37 + m21*x38 + m28*x39 + m35*x40 + m42*x41 + m49*x42; 763 764 x[42] -= m1*x43 + m8*x44 + m15*x45 + m22*x46 + m29*x47 + m36*x48 + m43*x49; 765 x[43] -= m2*x43 + m9*x44 + m16*x45 + m23*x46 + m30*x47 + m37*x48 + m44*x49; 766 x[44] -= m3*x43 + m10*x44 + m17*x45 + m24*x46 + m31*x47 + m38*x48 + m45*x49; 767 x[45] -= m4*x43 + m11*x44 + m18*x45 + m25*x46 + m32*x47 + m39*x48 + m46*x49; 768 x[46] -= m5*x43 + m12*x44 + m19*x45 + m26*x46 + m33*x47 + m40*x48 + m47*x49; 769 x[47] -= m6*x43 + m13*x44 + m20*x45 + m27*x46 + m34*x47 + m41*x48 + m48*x49; 770 x[48] -= m7*x43 + m14*x44 + m21*x45 + m28*x46 + m35*x47 + m42*x48 + m49*x49; 771 pv += 49; 772 } 773 PLogFlops(686*nz+637); 774 } 775 row = *ajtmp++; 776 } 777 /* finished row so stick it into b->a */ 778 pv = ba + 49*bi[i]; 779 pj = bj + bi[i]; 780 nz = bi[i+1] - bi[i]; 781 for (j=0; j<nz; j++) { 782 x = rtmp+49*pj[j]; 783 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 784 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 785 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 786 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 787 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 788 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 789 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 790 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 791 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 792 pv[36] = x[36]; pv[37] = x[37]; pv[38] = x[38]; pv[39] = x[39]; 793 pv[40] = x[40]; pv[41] = x[41]; pv[42] = x[42]; pv[43] = x[43]; 794 pv[44] = x[44]; pv[45] = x[45]; pv[46] = x[46]; pv[47] = x[47]; 795 pv[48] = x[48]; 796 pv += 49; 797 } 798 /* invert diagonal block */ 799 w = ba + 49*diag_offset[i]; 800 ierr = Kernel_A_gets_inverse_A_7(w);CHKERRQ(ierr); 801 } 802 803 ierr = PetscFree(rtmp);CHKERRQ(ierr); 804 C->factor = FACTOR_LU; 805 C->assembled = PETSC_TRUE; 806 PLogFlops(1.3333*343*b->mbs); /* from inverting diagonal blocks */ 807 PetscFunctionReturn(0); 808 } 809 810 /* ------------------------------------------------------------*/ 811 /* 812 Version for when blocks are 6 by 6 813 */ 814 #undef __FUNC__ 815 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_6" 816 int MatCholeskyFactorNumeric_SeqSBAIJ_6(Mat A,Mat *B) 817 { 818 Mat C = *B; 819 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 820 IS isrow = b->row,isicol = b->icol; 821 int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 822 int *ajtmpold,*ajtmp,nz,row; 823 int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj; 824 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 825 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 826 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 827 MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 828 MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 829 MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 830 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 831 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 832 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 833 MatScalar *ba = b->a,*aa = a->a; 834 835 PetscFunctionBegin; 836 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 837 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 838 rtmp = (MatScalar*)PetscMalloc(36*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 839 840 for (i=0; i<n; i++) { 841 nz = bi[i+1] - bi[i]; 842 ajtmp = bj + bi[i]; 843 for (j=0; j<nz; j++) { 844 x = rtmp+36*ajtmp[j]; 845 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 846 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 847 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 848 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 849 x[34] = x[35] = 0.0 ; 850 } 851 /* load in initial (unfactored row) */ 852 idx = r[i]; 853 nz = ai[idx+1] - ai[idx]; 854 ajtmpold = aj + ai[idx]; 855 v = aa + 36*ai[idx]; 856 for (j=0; j<nz; j++) { 857 x = rtmp+36*ic[ajtmpold[j]]; 858 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 859 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 860 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 861 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 862 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 863 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 864 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 865 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 866 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 867 v += 36; 868 } 869 row = *ajtmp++; 870 while (row < i) { 871 pc = rtmp + 36*row; 872 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 873 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 874 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 875 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 876 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 877 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 878 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 879 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 880 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 881 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 882 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 883 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 884 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 885 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 886 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 887 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 888 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 889 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 890 pv = ba + 36*diag_offset[row]; 891 pj = bj + diag_offset[row] + 1; 892 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 893 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 894 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 895 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 896 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 897 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 898 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 899 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 900 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 901 pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 902 pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 903 pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 904 pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 905 pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 906 pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 907 908 pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 909 pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 910 pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 911 pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 912 pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 913 pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 914 915 pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 916 pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 917 pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 918 pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 919 pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 920 pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 921 922 pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 923 pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 924 pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 925 pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 926 pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 927 pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 928 929 pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 930 pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 931 pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 932 pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 933 pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 934 pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 935 936 pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 937 pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 938 pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 939 pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 940 pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 941 pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 942 943 nz = bi[row+1] - diag_offset[row] - 1; 944 pv += 36; 945 for (j=0; j<nz; j++) { 946 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 947 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 948 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 949 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 950 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 951 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 952 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 953 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 954 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 955 x = rtmp + 36*pj[j]; 956 x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 957 x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 958 x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 959 x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 960 x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 961 x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 962 963 x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 964 x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 965 x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 966 x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 967 x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 968 x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 969 970 x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 971 x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 972 x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 973 x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 974 x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 975 x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 976 977 x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 978 x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 979 x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 980 x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 981 x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 982 x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 983 984 x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 985 x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 986 x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 987 x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 988 x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 989 x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 990 991 x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 992 x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 993 x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 994 x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 995 x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 996 x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 997 998 pv += 36; 999 } 1000 PLogFlops(432*nz+396); 1001 } 1002 row = *ajtmp++; 1003 } 1004 /* finished row so stick it into b->a */ 1005 pv = ba + 36*bi[i]; 1006 pj = bj + bi[i]; 1007 nz = bi[i+1] - bi[i]; 1008 for (j=0; j<nz; j++) { 1009 x = rtmp+36*pj[j]; 1010 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 1011 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 1012 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 1013 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 1014 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 1015 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 1016 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 1017 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 1018 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 1019 pv += 36; 1020 } 1021 /* invert diagonal block */ 1022 w = ba + 36*diag_offset[i]; 1023 ierr = Kernel_A_gets_inverse_A_6(w);CHKERRQ(ierr); 1024 } 1025 1026 ierr = PetscFree(rtmp);CHKERRQ(ierr); 1027 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 1028 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 1029 C->factor = FACTOR_LU; 1030 C->assembled = PETSC_TRUE; 1031 PLogFlops(1.3333*216*b->mbs); /* from inverting diagonal blocks */ 1032 PetscFunctionReturn(0); 1033 } 1034 /* 1035 Version for when blocks are 6 by 6 Using natural ordering 1036 */ 1037 #undef __FUNC__ 1038 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_6_NaturalOrdering" 1039 int MatCholeskyFactorNumeric_SeqSBAIJ_6_NaturalOrdering(Mat A,Mat *B) 1040 { 1041 Mat C = *B; 1042 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 1043 int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 1044 int *ajtmpold,*ajtmp,nz,row; 1045 int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 1046 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 1047 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 1048 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 1049 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 1050 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 1051 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 1052 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 1053 MatScalar p26,p27,p28,p29,p30,p31,p32,p33,p34,p35,p36; 1054 MatScalar x26,x27,x28,x29,x30,x31,x32,x33,x34,x35,x36; 1055 MatScalar m26,m27,m28,m29,m30,m31,m32,m33,m34,m35,m36; 1056 MatScalar *ba = b->a,*aa = a->a; 1057 1058 PetscFunctionBegin; 1059 rtmp = (MatScalar*)PetscMalloc(36*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 1060 for (i=0; i<n; i++) { 1061 nz = bi[i+1] - bi[i]; 1062 ajtmp = bj + bi[i]; 1063 for (j=0; j<nz; j++) { 1064 x = rtmp+36*ajtmp[j]; 1065 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 1066 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 1067 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = x[25] = 0.0 ; 1068 x[26] = x[27] = x[28] = x[29] = x[30] = x[31] = x[32] = x[33] = 0.0 ; 1069 x[34] = x[35] = 0.0 ; 1070 } 1071 /* load in initial (unfactored row) */ 1072 nz = ai[i+1] - ai[i]; 1073 ajtmpold = aj + ai[i]; 1074 v = aa + 36*ai[i]; 1075 for (j=0; j<nz; j++) { 1076 x = rtmp+36*ajtmpold[j]; 1077 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 1078 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; 1079 x[8] = v[8]; x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; 1080 x[12] = v[12]; x[13] = v[13]; x[14] = v[14]; x[15] = v[15]; 1081 x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; x[19] = v[19]; 1082 x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 1083 x[24] = v[24]; x[25] = v[25]; x[26] = v[26]; x[27] = v[27]; 1084 x[28] = v[28]; x[29] = v[29]; x[30] = v[30]; x[31] = v[31]; 1085 x[32] = v[32]; x[33] = v[33]; x[34] = v[34]; x[35] = v[35]; 1086 v += 36; 1087 } 1088 row = *ajtmp++; 1089 while (row < i) { 1090 pc = rtmp + 36*row; 1091 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 1092 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; 1093 p9 = pc[8]; p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; 1094 p13 = pc[12]; p14 = pc[13]; p15 = pc[14]; p16 = pc[15]; 1095 p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; p20 = pc[19]; 1096 p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 1097 p25 = pc[24]; p26 = pc[25]; p27 = pc[26]; p28 = pc[27]; 1098 p29 = pc[28]; p30 = pc[29]; p31 = pc[30]; p32 = pc[31]; 1099 p33 = pc[32]; p34 = pc[33]; p35 = pc[34]; p36 = pc[35]; 1100 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || 1101 p5 != 0.0 || p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || 1102 p9 != 0.0 || p10 != 0.0 || p11 != 0.0 || p12 != 0.0 || 1103 p13 != 0.0 || p14 != 0.0 || p15 != 0.0 || p16 != 0.0 || 1104 p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 || 1105 p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || 1106 p25 != 0.0 || p26 != 0.0 || p27 != 0.0 || p28 != 0.0 || 1107 p29 != 0.0 || p30 != 0.0 || p31 != 0.0 || p32 != 0.0 || 1108 p33 != 0.0 || p34 != 0.0 || p35 != 0.0 || p36 != 0.0) { 1109 pv = ba + 36*diag_offset[row]; 1110 pj = bj + diag_offset[row] + 1; 1111 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1112 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 1113 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 1114 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 1115 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 1116 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 1117 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 1118 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 1119 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 1120 pc[0] = m1 = p1*x1 + p7*x2 + p13*x3 + p19*x4 + p25*x5 + p31*x6; 1121 pc[1] = m2 = p2*x1 + p8*x2 + p14*x3 + p20*x4 + p26*x5 + p32*x6; 1122 pc[2] = m3 = p3*x1 + p9*x2 + p15*x3 + p21*x4 + p27*x5 + p33*x6; 1123 pc[3] = m4 = p4*x1 + p10*x2 + p16*x3 + p22*x4 + p28*x5 + p34*x6; 1124 pc[4] = m5 = p5*x1 + p11*x2 + p17*x3 + p23*x4 + p29*x5 + p35*x6; 1125 pc[5] = m6 = p6*x1 + p12*x2 + p18*x3 + p24*x4 + p30*x5 + p36*x6; 1126 1127 pc[6] = m7 = p1*x7 + p7*x8 + p13*x9 + p19*x10 + p25*x11 + p31*x12; 1128 pc[7] = m8 = p2*x7 + p8*x8 + p14*x9 + p20*x10 + p26*x11 + p32*x12; 1129 pc[8] = m9 = p3*x7 + p9*x8 + p15*x9 + p21*x10 + p27*x11 + p33*x12; 1130 pc[9] = m10 = p4*x7 + p10*x8 + p16*x9 + p22*x10 + p28*x11 + p34*x12; 1131 pc[10] = m11 = p5*x7 + p11*x8 + p17*x9 + p23*x10 + p29*x11 + p35*x12; 1132 pc[11] = m12 = p6*x7 + p12*x8 + p18*x9 + p24*x10 + p30*x11 + p36*x12; 1133 1134 pc[12] = m13 = p1*x13 + p7*x14 + p13*x15 + p19*x16 + p25*x17 + p31*x18; 1135 pc[13] = m14 = p2*x13 + p8*x14 + p14*x15 + p20*x16 + p26*x17 + p32*x18; 1136 pc[14] = m15 = p3*x13 + p9*x14 + p15*x15 + p21*x16 + p27*x17 + p33*x18; 1137 pc[15] = m16 = p4*x13 + p10*x14 + p16*x15 + p22*x16 + p28*x17 + p34*x18; 1138 pc[16] = m17 = p5*x13 + p11*x14 + p17*x15 + p23*x16 + p29*x17 + p35*x18; 1139 pc[17] = m18 = p6*x13 + p12*x14 + p18*x15 + p24*x16 + p30*x17 + p36*x18; 1140 1141 pc[18] = m19 = p1*x19 + p7*x20 + p13*x21 + p19*x22 + p25*x23 + p31*x24; 1142 pc[19] = m20 = p2*x19 + p8*x20 + p14*x21 + p20*x22 + p26*x23 + p32*x24; 1143 pc[20] = m21 = p3*x19 + p9*x20 + p15*x21 + p21*x22 + p27*x23 + p33*x24; 1144 pc[21] = m22 = p4*x19 + p10*x20 + p16*x21 + p22*x22 + p28*x23 + p34*x24; 1145 pc[22] = m23 = p5*x19 + p11*x20 + p17*x21 + p23*x22 + p29*x23 + p35*x24; 1146 pc[23] = m24 = p6*x19 + p12*x20 + p18*x21 + p24*x22 + p30*x23 + p36*x24; 1147 1148 pc[24] = m25 = p1*x25 + p7*x26 + p13*x27 + p19*x28 + p25*x29 + p31*x30; 1149 pc[25] = m26 = p2*x25 + p8*x26 + p14*x27 + p20*x28 + p26*x29 + p32*x30; 1150 pc[26] = m27 = p3*x25 + p9*x26 + p15*x27 + p21*x28 + p27*x29 + p33*x30; 1151 pc[27] = m28 = p4*x25 + p10*x26 + p16*x27 + p22*x28 + p28*x29 + p34*x30; 1152 pc[28] = m29 = p5*x25 + p11*x26 + p17*x27 + p23*x28 + p29*x29 + p35*x30; 1153 pc[29] = m30 = p6*x25 + p12*x26 + p18*x27 + p24*x28 + p30*x29 + p36*x30; 1154 1155 pc[30] = m31 = p1*x31 + p7*x32 + p13*x33 + p19*x34 + p25*x35 + p31*x36; 1156 pc[31] = m32 = p2*x31 + p8*x32 + p14*x33 + p20*x34 + p26*x35 + p32*x36; 1157 pc[32] = m33 = p3*x31 + p9*x32 + p15*x33 + p21*x34 + p27*x35 + p33*x36; 1158 pc[33] = m34 = p4*x31 + p10*x32 + p16*x33 + p22*x34 + p28*x35 + p34*x36; 1159 pc[34] = m35 = p5*x31 + p11*x32 + p17*x33 + p23*x34 + p29*x35 + p35*x36; 1160 pc[35] = m36 = p6*x31 + p12*x32 + p18*x33 + p24*x34 + p30*x35 + p36*x36; 1161 1162 nz = bi[row+1] - diag_offset[row] - 1; 1163 pv += 36; 1164 for (j=0; j<nz; j++) { 1165 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1166 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; 1167 x9 = pv[8]; x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; 1168 x13 = pv[12]; x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 1169 x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; 1170 x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 1171 x25 = pv[24]; x26 = pv[25]; x27 = pv[26]; x28 = pv[27]; 1172 x29 = pv[28]; x30 = pv[29]; x31 = pv[30]; x32 = pv[31]; 1173 x33 = pv[32]; x34 = pv[33]; x35 = pv[34]; x36 = pv[35]; 1174 x = rtmp + 36*pj[j]; 1175 x[0] -= m1*x1 + m7*x2 + m13*x3 + m19*x4 + m25*x5 + m31*x6; 1176 x[1] -= m2*x1 + m8*x2 + m14*x3 + m20*x4 + m26*x5 + m32*x6; 1177 x[2] -= m3*x1 + m9*x2 + m15*x3 + m21*x4 + m27*x5 + m33*x6; 1178 x[3] -= m4*x1 + m10*x2 + m16*x3 + m22*x4 + m28*x5 + m34*x6; 1179 x[4] -= m5*x1 + m11*x2 + m17*x3 + m23*x4 + m29*x5 + m35*x6; 1180 x[5] -= m6*x1 + m12*x2 + m18*x3 + m24*x4 + m30*x5 + m36*x6; 1181 1182 x[6] -= m1*x7 + m7*x8 + m13*x9 + m19*x10 + m25*x11 + m31*x12; 1183 x[7] -= m2*x7 + m8*x8 + m14*x9 + m20*x10 + m26*x11 + m32*x12; 1184 x[8] -= m3*x7 + m9*x8 + m15*x9 + m21*x10 + m27*x11 + m33*x12; 1185 x[9] -= m4*x7 + m10*x8 + m16*x9 + m22*x10 + m28*x11 + m34*x12; 1186 x[10] -= m5*x7 + m11*x8 + m17*x9 + m23*x10 + m29*x11 + m35*x12; 1187 x[11] -= m6*x7 + m12*x8 + m18*x9 + m24*x10 + m30*x11 + m36*x12; 1188 1189 x[12] -= m1*x13 + m7*x14 + m13*x15 + m19*x16 + m25*x17 + m31*x18; 1190 x[13] -= m2*x13 + m8*x14 + m14*x15 + m20*x16 + m26*x17 + m32*x18; 1191 x[14] -= m3*x13 + m9*x14 + m15*x15 + m21*x16 + m27*x17 + m33*x18; 1192 x[15] -= m4*x13 + m10*x14 + m16*x15 + m22*x16 + m28*x17 + m34*x18; 1193 x[16] -= m5*x13 + m11*x14 + m17*x15 + m23*x16 + m29*x17 + m35*x18; 1194 x[17] -= m6*x13 + m12*x14 + m18*x15 + m24*x16 + m30*x17 + m36*x18; 1195 1196 x[18] -= m1*x19 + m7*x20 + m13*x21 + m19*x22 + m25*x23 + m31*x24; 1197 x[19] -= m2*x19 + m8*x20 + m14*x21 + m20*x22 + m26*x23 + m32*x24; 1198 x[20] -= m3*x19 + m9*x20 + m15*x21 + m21*x22 + m27*x23 + m33*x24; 1199 x[21] -= m4*x19 + m10*x20 + m16*x21 + m22*x22 + m28*x23 + m34*x24; 1200 x[22] -= m5*x19 + m11*x20 + m17*x21 + m23*x22 + m29*x23 + m35*x24; 1201 x[23] -= m6*x19 + m12*x20 + m18*x21 + m24*x22 + m30*x23 + m36*x24; 1202 1203 x[24] -= m1*x25 + m7*x26 + m13*x27 + m19*x28 + m25*x29 + m31*x30; 1204 x[25] -= m2*x25 + m8*x26 + m14*x27 + m20*x28 + m26*x29 + m32*x30; 1205 x[26] -= m3*x25 + m9*x26 + m15*x27 + m21*x28 + m27*x29 + m33*x30; 1206 x[27] -= m4*x25 + m10*x26 + m16*x27 + m22*x28 + m28*x29 + m34*x30; 1207 x[28] -= m5*x25 + m11*x26 + m17*x27 + m23*x28 + m29*x29 + m35*x30; 1208 x[29] -= m6*x25 + m12*x26 + m18*x27 + m24*x28 + m30*x29 + m36*x30; 1209 1210 x[30] -= m1*x31 + m7*x32 + m13*x33 + m19*x34 + m25*x35 + m31*x36; 1211 x[31] -= m2*x31 + m8*x32 + m14*x33 + m20*x34 + m26*x35 + m32*x36; 1212 x[32] -= m3*x31 + m9*x32 + m15*x33 + m21*x34 + m27*x35 + m33*x36; 1213 x[33] -= m4*x31 + m10*x32 + m16*x33 + m22*x34 + m28*x35 + m34*x36; 1214 x[34] -= m5*x31 + m11*x32 + m17*x33 + m23*x34 + m29*x35 + m35*x36; 1215 x[35] -= m6*x31 + m12*x32 + m18*x33 + m24*x34 + m30*x35 + m36*x36; 1216 1217 pv += 36; 1218 } 1219 PLogFlops(432*nz+396); 1220 } 1221 row = *ajtmp++; 1222 } 1223 /* finished row so stick it into b->a */ 1224 pv = ba + 36*bi[i]; 1225 pj = bj + bi[i]; 1226 nz = bi[i+1] - bi[i]; 1227 for (j=0; j<nz; j++) { 1228 x = rtmp+36*pj[j]; 1229 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 1230 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; 1231 pv[8] = x[8]; pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; 1232 pv[12] = x[12]; pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 1233 pv[16] = x[16]; pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; 1234 pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; 1235 pv[24] = x[24]; pv[25] = x[25]; pv[26] = x[26]; pv[27] = x[27]; 1236 pv[28] = x[28]; pv[29] = x[29]; pv[30] = x[30]; pv[31] = x[31]; 1237 pv[32] = x[32]; pv[33] = x[33]; pv[34] = x[34]; pv[35] = x[35]; 1238 pv += 36; 1239 } 1240 /* invert diagonal block */ 1241 w = ba + 36*diag_offset[i]; 1242 ierr = Kernel_A_gets_inverse_A_6(w);CHKERRQ(ierr); 1243 } 1244 1245 ierr = PetscFree(rtmp);CHKERRQ(ierr); 1246 C->factor = FACTOR_LU; 1247 C->assembled = PETSC_TRUE; 1248 PLogFlops(1.3333*216*b->mbs); /* from inverting diagonal blocks */ 1249 PetscFunctionReturn(0); 1250 } 1251 1252 /* ------------------------------------------------------------*/ 1253 /* 1254 Version for when blocks are 5 by 5 1255 */ 1256 #undef __FUNC__ 1257 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_5" 1258 int MatCholeskyFactorNumeric_SeqSBAIJ_5(Mat A,Mat *B) 1259 { 1260 Mat C = *B; 1261 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 1262 IS isrow = b->row,isicol = b->icol; 1263 int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 1264 int *ajtmpold,*ajtmp,nz,row; 1265 int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj; 1266 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 1267 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 1268 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 1269 MatScalar x17,x18,x19,x20,x21,x22,x23,x24,x25,p10,p11,p12,p13,p14; 1270 MatScalar p15,p16,p17,p18,p19,p20,p21,p22,p23,p24,p25,m10,m11,m12; 1271 MatScalar m13,m14,m15,m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 1272 MatScalar *ba = b->a,*aa = a->a; 1273 1274 PetscFunctionBegin; 1275 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 1276 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 1277 rtmp = (MatScalar*)PetscMalloc(25*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 1278 1279 for (i=0; i<n; i++) { 1280 nz = bi[i+1] - bi[i]; 1281 ajtmp = bj + bi[i]; 1282 for (j=0; j<nz; j++) { 1283 x = rtmp+25*ajtmp[j]; 1284 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 1285 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = x[16] = x[17] = 0.0; 1286 x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0; 1287 } 1288 /* load in initial (unfactored row) */ 1289 idx = r[i]; 1290 nz = ai[idx+1] - ai[idx]; 1291 ajtmpold = aj + ai[idx]; 1292 v = aa + 25*ai[idx]; 1293 for (j=0; j<nz; j++) { 1294 x = rtmp+25*ic[ajtmpold[j]]; 1295 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 1296 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 1297 x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 1298 x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; 1299 x[18] = v[18]; x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; 1300 x[22] = v[22]; x[23] = v[23]; x[24] = v[24]; 1301 v += 25; 1302 } 1303 row = *ajtmp++; 1304 while (row < i) { 1305 pc = rtmp + 25*row; 1306 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 1307 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 1308 p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 1309 p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; p19 = pc[18]; 1310 p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; p24 = pc[23]; 1311 p25 = pc[24]; 1312 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 1313 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 1314 p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 1315 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || 1316 p20 != 0.0 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || 1317 p24 != 0.0 || p25 != 0.0) { 1318 pv = ba + 25*diag_offset[row]; 1319 pj = bj + diag_offset[row] + 1; 1320 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1321 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 1322 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 1323 x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; 1324 x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; 1325 x23 = pv[22]; x24 = pv[23]; x25 = pv[24]; 1326 pc[0] = m1 = p1*x1 + p6*x2 + p11*x3 + p16*x4 + p21*x5; 1327 pc[1] = m2 = p2*x1 + p7*x2 + p12*x3 + p17*x4 + p22*x5; 1328 pc[2] = m3 = p3*x1 + p8*x2 + p13*x3 + p18*x4 + p23*x5; 1329 pc[3] = m4 = p4*x1 + p9*x2 + p14*x3 + p19*x4 + p24*x5; 1330 pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5; 1331 1332 pc[5] = m6 = p1*x6 + p6*x7 + p11*x8 + p16*x9 + p21*x10; 1333 pc[6] = m7 = p2*x6 + p7*x7 + p12*x8 + p17*x9 + p22*x10; 1334 pc[7] = m8 = p3*x6 + p8*x7 + p13*x8 + p18*x9 + p23*x10; 1335 pc[8] = m9 = p4*x6 + p9*x7 + p14*x8 + p19*x9 + p24*x10; 1336 pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10; 1337 1338 pc[10] = m11 = p1*x11 + p6*x12 + p11*x13 + p16*x14 + p21*x15; 1339 pc[11] = m12 = p2*x11 + p7*x12 + p12*x13 + p17*x14 + p22*x15; 1340 pc[12] = m13 = p3*x11 + p8*x12 + p13*x13 + p18*x14 + p23*x15; 1341 pc[13] = m14 = p4*x11 + p9*x12 + p14*x13 + p19*x14 + p24*x15; 1342 pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15; 1343 1344 pc[15] = m16 = p1*x16 + p6*x17 + p11*x18 + p16*x19 + p21*x20; 1345 pc[16] = m17 = p2*x16 + p7*x17 + p12*x18 + p17*x19 + p22*x20; 1346 pc[17] = m18 = p3*x16 + p8*x17 + p13*x18 + p18*x19 + p23*x20; 1347 pc[18] = m19 = p4*x16 + p9*x17 + p14*x18 + p19*x19 + p24*x20; 1348 pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20; 1349 1350 pc[20] = m21 = p1*x21 + p6*x22 + p11*x23 + p16*x24 + p21*x25; 1351 pc[21] = m22 = p2*x21 + p7*x22 + p12*x23 + p17*x24 + p22*x25; 1352 pc[22] = m23 = p3*x21 + p8*x22 + p13*x23 + p18*x24 + p23*x25; 1353 pc[23] = m24 = p4*x21 + p9*x22 + p14*x23 + p19*x24 + p24*x25; 1354 pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25; 1355 1356 nz = bi[row+1] - diag_offset[row] - 1; 1357 pv += 25; 1358 for (j=0; j<nz; j++) { 1359 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1360 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 1361 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 1362 x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; 1363 x18 = pv[17]; x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; 1364 x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; x25 = pv[24]; 1365 x = rtmp + 25*pj[j]; 1366 x[0] -= m1*x1 + m6*x2 + m11*x3 + m16*x4 + m21*x5; 1367 x[1] -= m2*x1 + m7*x2 + m12*x3 + m17*x4 + m22*x5; 1368 x[2] -= m3*x1 + m8*x2 + m13*x3 + m18*x4 + m23*x5; 1369 x[3] -= m4*x1 + m9*x2 + m14*x3 + m19*x4 + m24*x5; 1370 x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5; 1371 1372 x[5] -= m1*x6 + m6*x7 + m11*x8 + m16*x9 + m21*x10; 1373 x[6] -= m2*x6 + m7*x7 + m12*x8 + m17*x9 + m22*x10; 1374 x[7] -= m3*x6 + m8*x7 + m13*x8 + m18*x9 + m23*x10; 1375 x[8] -= m4*x6 + m9*x7 + m14*x8 + m19*x9 + m24*x10; 1376 x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10; 1377 1378 x[10] -= m1*x11 + m6*x12 + m11*x13 + m16*x14 + m21*x15; 1379 x[11] -= m2*x11 + m7*x12 + m12*x13 + m17*x14 + m22*x15; 1380 x[12] -= m3*x11 + m8*x12 + m13*x13 + m18*x14 + m23*x15; 1381 x[13] -= m4*x11 + m9*x12 + m14*x13 + m19*x14 + m24*x15; 1382 x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15; 1383 1384 x[15] -= m1*x16 + m6*x17 + m11*x18 + m16*x19 + m21*x20; 1385 x[16] -= m2*x16 + m7*x17 + m12*x18 + m17*x19 + m22*x20; 1386 x[17] -= m3*x16 + m8*x17 + m13*x18 + m18*x19 + m23*x20; 1387 x[18] -= m4*x16 + m9*x17 + m14*x18 + m19*x19 + m24*x20; 1388 x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20; 1389 1390 x[20] -= m1*x21 + m6*x22 + m11*x23 + m16*x24 + m21*x25; 1391 x[21] -= m2*x21 + m7*x22 + m12*x23 + m17*x24 + m22*x25; 1392 x[22] -= m3*x21 + m8*x22 + m13*x23 + m18*x24 + m23*x25; 1393 x[23] -= m4*x21 + m9*x22 + m14*x23 + m19*x24 + m24*x25; 1394 x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25; 1395 1396 pv += 25; 1397 } 1398 PLogFlops(250*nz+225); 1399 } 1400 row = *ajtmp++; 1401 } 1402 /* finished row so stick it into b->a */ 1403 pv = ba + 25*bi[i]; 1404 pj = bj + bi[i]; 1405 nz = bi[i+1] - bi[i]; 1406 for (j=0; j<nz; j++) { 1407 x = rtmp+25*pj[j]; 1408 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 1409 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 1410 pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 1411 pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; 1412 pv[17] = x[17]; pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; 1413 pv[21] = x[21]; pv[22] = x[22]; pv[23] = x[23]; pv[24] = x[24]; 1414 pv += 25; 1415 } 1416 /* invert diagonal block */ 1417 w = ba + 25*diag_offset[i]; 1418 ierr = Kernel_A_gets_inverse_A_5(w);CHKERRQ(ierr); 1419 } 1420 1421 ierr = PetscFree(rtmp);CHKERRQ(ierr); 1422 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 1423 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 1424 C->factor = FACTOR_LU; 1425 C->assembled = PETSC_TRUE; 1426 PLogFlops(1.3333*125*b->mbs); /* from inverting diagonal blocks */ 1427 PetscFunctionReturn(0); 1428 } 1429 /* 1430 Version for when blocks are 5 by 5 Using natural ordering 1431 */ 1432 #undef __FUNC__ 1433 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_5_NaturalOrdering" 1434 int MatCholeskyFactorNumeric_SeqSBAIJ_5_NaturalOrdering(Mat A,Mat *B) 1435 { 1436 Mat C = *B; 1437 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 1438 int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 1439 int *ajtmpold,*ajtmp,nz,row; 1440 int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 1441 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 1442 MatScalar x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15; 1443 MatScalar x16,x17,x18,x19,x20,x21,x22,x23,x24,x25; 1444 MatScalar p1,p2,p3,p4,p5,p6,p7,p8,p9,p10,p11,p12,p13,p14,p15; 1445 MatScalar p16,p17,p18,p19,p20,p21,p22,p23,p24,p25; 1446 MatScalar m1,m2,m3,m4,m5,m6,m7,m8,m9,m10,m11,m12,m13,m14,m15; 1447 MatScalar m16,m17,m18,m19,m20,m21,m22,m23,m24,m25; 1448 MatScalar *ba = b->a,*aa = a->a; 1449 1450 PetscFunctionBegin; 1451 rtmp = (MatScalar*)PetscMalloc(25*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 1452 for (i=0; i<n; i++) { 1453 nz = bi[i+1] - bi[i]; 1454 ajtmp = bj + bi[i]; 1455 for (j=0; j<nz; j++) { 1456 x = rtmp+25*ajtmp[j]; 1457 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 1458 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 1459 x[16] = x[17] = x[18] = x[19] = x[20] = x[21] = x[22] = x[23] = x[24] = 0.0; 1460 } 1461 /* load in initial (unfactored row) */ 1462 nz = ai[i+1] - ai[i]; 1463 ajtmpold = aj + ai[i]; 1464 v = aa + 25*ai[i]; 1465 for (j=0; j<nz; j++) { 1466 x = rtmp+25*ajtmpold[j]; 1467 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 1468 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 1469 x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 1470 x[14] = v[14]; x[15] = v[15]; x[16] = v[16]; x[17] = v[17]; x[18] = v[18]; 1471 x[19] = v[19]; x[20] = v[20]; x[21] = v[21]; x[22] = v[22]; x[23] = v[23]; 1472 x[24] = v[24]; 1473 v += 25; 1474 } 1475 row = *ajtmp++; 1476 while (row < i) { 1477 pc = rtmp + 25*row; 1478 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 1479 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 1480 p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 1481 p15 = pc[14]; p16 = pc[15]; p17 = pc[16]; p18 = pc[17]; 1482 p19 = pc[18]; p20 = pc[19]; p21 = pc[20]; p22 = pc[21]; p23 = pc[22]; 1483 p24 = pc[23]; p25 = pc[24]; 1484 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 1485 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 1486 p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 1487 || p16 != 0.0 || p17 != 0.0 || p18 != 0.0 || p19 != 0.0 || p20 != 0.0 1488 || p21 != 0.0 || p22 != 0.0 || p23 != 0.0 || p24 != 0.0 || p25 != 0.0) { 1489 pv = ba + 25*diag_offset[row]; 1490 pj = bj + diag_offset[row] + 1; 1491 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1492 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 1493 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 1494 x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; x19 = pv[18]; 1495 x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; x24 = pv[23]; 1496 x25 = pv[24]; 1497 pc[0] = m1 = p1*x1 + p6*x2 + p11*x3 + p16*x4 + p21*x5; 1498 pc[1] = m2 = p2*x1 + p7*x2 + p12*x3 + p17*x4 + p22*x5; 1499 pc[2] = m3 = p3*x1 + p8*x2 + p13*x3 + p18*x4 + p23*x5; 1500 pc[3] = m4 = p4*x1 + p9*x2 + p14*x3 + p19*x4 + p24*x5; 1501 pc[4] = m5 = p5*x1 + p10*x2 + p15*x3 + p20*x4 + p25*x5; 1502 1503 pc[5] = m6 = p1*x6 + p6*x7 + p11*x8 + p16*x9 + p21*x10; 1504 pc[6] = m7 = p2*x6 + p7*x7 + p12*x8 + p17*x9 + p22*x10; 1505 pc[7] = m8 = p3*x6 + p8*x7 + p13*x8 + p18*x9 + p23*x10; 1506 pc[8] = m9 = p4*x6 + p9*x7 + p14*x8 + p19*x9 + p24*x10; 1507 pc[9] = m10 = p5*x6 + p10*x7 + p15*x8 + p20*x9 + p25*x10; 1508 1509 pc[10] = m11 = p1*x11 + p6*x12 + p11*x13 + p16*x14 + p21*x15; 1510 pc[11] = m12 = p2*x11 + p7*x12 + p12*x13 + p17*x14 + p22*x15; 1511 pc[12] = m13 = p3*x11 + p8*x12 + p13*x13 + p18*x14 + p23*x15; 1512 pc[13] = m14 = p4*x11 + p9*x12 + p14*x13 + p19*x14 + p24*x15; 1513 pc[14] = m15 = p5*x11 + p10*x12 + p15*x13 + p20*x14 + p25*x15; 1514 1515 pc[15] = m16 = p1*x16 + p6*x17 + p11*x18 + p16*x19 + p21*x20; 1516 pc[16] = m17 = p2*x16 + p7*x17 + p12*x18 + p17*x19 + p22*x20; 1517 pc[17] = m18 = p3*x16 + p8*x17 + p13*x18 + p18*x19 + p23*x20; 1518 pc[18] = m19 = p4*x16 + p9*x17 + p14*x18 + p19*x19 + p24*x20; 1519 pc[19] = m20 = p5*x16 + p10*x17 + p15*x18 + p20*x19 + p25*x20; 1520 1521 pc[20] = m21 = p1*x21 + p6*x22 + p11*x23 + p16*x24 + p21*x25; 1522 pc[21] = m22 = p2*x21 + p7*x22 + p12*x23 + p17*x24 + p22*x25; 1523 pc[22] = m23 = p3*x21 + p8*x22 + p13*x23 + p18*x24 + p23*x25; 1524 pc[23] = m24 = p4*x21 + p9*x22 + p14*x23 + p19*x24 + p24*x25; 1525 pc[24] = m25 = p5*x21 + p10*x22 + p15*x23 + p20*x24 + p25*x25; 1526 1527 nz = bi[row+1] - diag_offset[row] - 1; 1528 pv += 25; 1529 for (j=0; j<nz; j++) { 1530 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1531 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 1532 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 1533 x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; x17 = pv[16]; x18 = pv[17]; 1534 x19 = pv[18]; x20 = pv[19]; x21 = pv[20]; x22 = pv[21]; x23 = pv[22]; 1535 x24 = pv[23]; x25 = pv[24]; 1536 x = rtmp + 25*pj[j]; 1537 x[0] -= m1*x1 + m6*x2 + m11*x3 + m16*x4 + m21*x5; 1538 x[1] -= m2*x1 + m7*x2 + m12*x3 + m17*x4 + m22*x5; 1539 x[2] -= m3*x1 + m8*x2 + m13*x3 + m18*x4 + m23*x5; 1540 x[3] -= m4*x1 + m9*x2 + m14*x3 + m19*x4 + m24*x5; 1541 x[4] -= m5*x1 + m10*x2 + m15*x3 + m20*x4 + m25*x5; 1542 1543 x[5] -= m1*x6 + m6*x7 + m11*x8 + m16*x9 + m21*x10; 1544 x[6] -= m2*x6 + m7*x7 + m12*x8 + m17*x9 + m22*x10; 1545 x[7] -= m3*x6 + m8*x7 + m13*x8 + m18*x9 + m23*x10; 1546 x[8] -= m4*x6 + m9*x7 + m14*x8 + m19*x9 + m24*x10; 1547 x[9] -= m5*x6 + m10*x7 + m15*x8 + m20*x9 + m25*x10; 1548 1549 x[10] -= m1*x11 + m6*x12 + m11*x13 + m16*x14 + m21*x15; 1550 x[11] -= m2*x11 + m7*x12 + m12*x13 + m17*x14 + m22*x15; 1551 x[12] -= m3*x11 + m8*x12 + m13*x13 + m18*x14 + m23*x15; 1552 x[13] -= m4*x11 + m9*x12 + m14*x13 + m19*x14 + m24*x15; 1553 x[14] -= m5*x11 + m10*x12 + m15*x13 + m20*x14 + m25*x15; 1554 1555 x[15] -= m1*x16 + m6*x17 + m11*x18 + m16*x19 + m21*x20; 1556 x[16] -= m2*x16 + m7*x17 + m12*x18 + m17*x19 + m22*x20; 1557 x[17] -= m3*x16 + m8*x17 + m13*x18 + m18*x19 + m23*x20; 1558 x[18] -= m4*x16 + m9*x17 + m14*x18 + m19*x19 + m24*x20; 1559 x[19] -= m5*x16 + m10*x17 + m15*x18 + m20*x19 + m25*x20; 1560 1561 x[20] -= m1*x21 + m6*x22 + m11*x23 + m16*x24 + m21*x25; 1562 x[21] -= m2*x21 + m7*x22 + m12*x23 + m17*x24 + m22*x25; 1563 x[22] -= m3*x21 + m8*x22 + m13*x23 + m18*x24 + m23*x25; 1564 x[23] -= m4*x21 + m9*x22 + m14*x23 + m19*x24 + m24*x25; 1565 x[24] -= m5*x21 + m10*x22 + m15*x23 + m20*x24 + m25*x25; 1566 pv += 25; 1567 } 1568 PLogFlops(250*nz+225); 1569 } 1570 row = *ajtmp++; 1571 } 1572 /* finished row so stick it into b->a */ 1573 pv = ba + 25*bi[i]; 1574 pj = bj + bi[i]; 1575 nz = bi[i+1] - bi[i]; 1576 for (j=0; j<nz; j++) { 1577 x = rtmp+25*pj[j]; 1578 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 1579 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 1580 pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 1581 pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; pv[16] = x[16]; pv[17] = x[17]; 1582 pv[18] = x[18]; pv[19] = x[19]; pv[20] = x[20]; pv[21] = x[21]; pv[22] = x[22]; 1583 pv[23] = x[23]; pv[24] = x[24]; 1584 pv += 25; 1585 } 1586 /* invert diagonal block */ 1587 w = ba + 25*diag_offset[i]; 1588 ierr = Kernel_A_gets_inverse_A_5(w);CHKERRQ(ierr); 1589 } 1590 1591 ierr = PetscFree(rtmp);CHKERRQ(ierr); 1592 C->factor = FACTOR_LU; 1593 C->assembled = PETSC_TRUE; 1594 PLogFlops(1.3333*125*b->mbs); /* from inverting diagonal blocks */ 1595 PetscFunctionReturn(0); 1596 } 1597 1598 /* ------------------------------------------------------------*/ 1599 /* 1600 Version for when blocks are 4 by 4 1601 */ 1602 #undef __FUNC__ 1603 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_4" 1604 int MatCholeskyFactorNumeric_SeqSBAIJ_4(Mat A,Mat *B) 1605 { 1606 Mat C = *B; 1607 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 1608 IS isrow = b->row,isicol = b->icol; 1609 int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 1610 int *ajtmpold,*ajtmp,nz,row; 1611 int *diag_offset = b->diag,idx,*ai=a->i,*aj=a->j,*pj; 1612 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 1613 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 1614 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 1615 MatScalar p10,p11,p12,p13,p14,p15,p16,m10,m11,m12; 1616 MatScalar m13,m14,m15,m16; 1617 MatScalar *ba = b->a,*aa = a->a; 1618 1619 PetscFunctionBegin; 1620 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 1621 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 1622 rtmp = (MatScalar*)PetscMalloc(16*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 1623 1624 for (i=0; i<n; i++) { 1625 nz = bi[i+1] - bi[i]; 1626 ajtmp = bj + bi[i]; 1627 for (j=0; j<nz; j++) { 1628 x = rtmp+16*ajtmp[j]; 1629 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 1630 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 1631 } 1632 /* load in initial (unfactored row) */ 1633 idx = r[i]; 1634 nz = ai[idx+1] - ai[idx]; 1635 ajtmpold = aj + ai[idx]; 1636 v = aa + 16*ai[idx]; 1637 for (j=0; j<nz; j++) { 1638 x = rtmp+16*ic[ajtmpold[j]]; 1639 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 1640 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 1641 x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 1642 x[14] = v[14]; x[15] = v[15]; 1643 v += 16; 1644 } 1645 row = *ajtmp++; 1646 while (row < i) { 1647 pc = rtmp + 16*row; 1648 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 1649 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 1650 p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 1651 p15 = pc[14]; p16 = pc[15]; 1652 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 1653 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 1654 p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 1655 || p16 != 0.0) { 1656 pv = ba + 16*diag_offset[row]; 1657 pj = bj + diag_offset[row] + 1; 1658 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1659 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 1660 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 1661 x15 = pv[14]; x16 = pv[15]; 1662 pc[0] = m1 = p1*x1 + p5*x2 + p9*x3 + p13*x4; 1663 pc[1] = m2 = p2*x1 + p6*x2 + p10*x3 + p14*x4; 1664 pc[2] = m3 = p3*x1 + p7*x2 + p11*x3 + p15*x4; 1665 pc[3] = m4 = p4*x1 + p8*x2 + p12*x3 + p16*x4; 1666 1667 pc[4] = m5 = p1*x5 + p5*x6 + p9*x7 + p13*x8; 1668 pc[5] = m6 = p2*x5 + p6*x6 + p10*x7 + p14*x8; 1669 pc[6] = m7 = p3*x5 + p7*x6 + p11*x7 + p15*x8; 1670 pc[7] = m8 = p4*x5 + p8*x6 + p12*x7 + p16*x8; 1671 1672 pc[8] = m9 = p1*x9 + p5*x10 + p9*x11 + p13*x12; 1673 pc[9] = m10 = p2*x9 + p6*x10 + p10*x11 + p14*x12; 1674 pc[10] = m11 = p3*x9 + p7*x10 + p11*x11 + p15*x12; 1675 pc[11] = m12 = p4*x9 + p8*x10 + p12*x11 + p16*x12; 1676 1677 pc[12] = m13 = p1*x13 + p5*x14 + p9*x15 + p13*x16; 1678 pc[13] = m14 = p2*x13 + p6*x14 + p10*x15 + p14*x16; 1679 pc[14] = m15 = p3*x13 + p7*x14 + p11*x15 + p15*x16; 1680 pc[15] = m16 = p4*x13 + p8*x14 + p12*x15 + p16*x16; 1681 1682 nz = bi[row+1] - diag_offset[row] - 1; 1683 pv += 16; 1684 for (j=0; j<nz; j++) { 1685 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1686 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 1687 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 1688 x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 1689 x = rtmp + 16*pj[j]; 1690 x[0] -= m1*x1 + m5*x2 + m9*x3 + m13*x4; 1691 x[1] -= m2*x1 + m6*x2 + m10*x3 + m14*x4; 1692 x[2] -= m3*x1 + m7*x2 + m11*x3 + m15*x4; 1693 x[3] -= m4*x1 + m8*x2 + m12*x3 + m16*x4; 1694 1695 x[4] -= m1*x5 + m5*x6 + m9*x7 + m13*x8; 1696 x[5] -= m2*x5 + m6*x6 + m10*x7 + m14*x8; 1697 x[6] -= m3*x5 + m7*x6 + m11*x7 + m15*x8; 1698 x[7] -= m4*x5 + m8*x6 + m12*x7 + m16*x8; 1699 1700 x[8] -= m1*x9 + m5*x10 + m9*x11 + m13*x12; 1701 x[9] -= m2*x9 + m6*x10 + m10*x11 + m14*x12; 1702 x[10] -= m3*x9 + m7*x10 + m11*x11 + m15*x12; 1703 x[11] -= m4*x9 + m8*x10 + m12*x11 + m16*x12; 1704 1705 x[12] -= m1*x13 + m5*x14 + m9*x15 + m13*x16; 1706 x[13] -= m2*x13 + m6*x14 + m10*x15 + m14*x16; 1707 x[14] -= m3*x13 + m7*x14 + m11*x15 + m15*x16; 1708 x[15] -= m4*x13 + m8*x14 + m12*x15 + m16*x16; 1709 1710 pv += 16; 1711 } 1712 PLogFlops(128*nz+112); 1713 } 1714 row = *ajtmp++; 1715 } 1716 /* finished row so stick it into b->a */ 1717 pv = ba + 16*bi[i]; 1718 pj = bj + bi[i]; 1719 nz = bi[i+1] - bi[i]; 1720 for (j=0; j<nz; j++) { 1721 x = rtmp+16*pj[j]; 1722 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 1723 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 1724 pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 1725 pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 1726 pv += 16; 1727 } 1728 /* invert diagonal block */ 1729 w = ba + 16*diag_offset[i]; 1730 ierr = Kernel_A_gets_inverse_A_4(w);CHKERRQ(ierr); 1731 } 1732 1733 ierr = PetscFree(rtmp);CHKERRQ(ierr); 1734 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 1735 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 1736 C->factor = FACTOR_LU; 1737 C->assembled = PETSC_TRUE; 1738 PLogFlops(1.3333*64*b->mbs); /* from inverting diagonal blocks */ 1739 PetscFunctionReturn(0); 1740 } 1741 /* 1742 Version for when blocks are 4 by 4 Using natural ordering 1743 */ 1744 #undef __FUNC__ 1745 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_4_NaturalOrdering" 1746 int MatCholeskyFactorNumeric_SeqSBAIJ_4_NaturalOrdering(Mat A,Mat *B) 1747 { 1748 Mat C = *B; 1749 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 1750 int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 1751 int *ajtmpold,*ajtmp,nz,row; 1752 int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 1753 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 1754 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 1755 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9,x10,x11,x12,x13,x14,x15,x16; 1756 MatScalar p10,p11,p12,p13,p14,p15,p16,m10,m11,m12; 1757 MatScalar m13,m14,m15,m16; 1758 MatScalar *ba = b->a,*aa = a->a; 1759 1760 PetscFunctionBegin; 1761 rtmp = (MatScalar*)PetscMalloc(16*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 1762 1763 for (i=0; i<n; i++) { 1764 nz = bi[i+1] - bi[i]; 1765 ajtmp = bj + bi[i]; 1766 for (j=0; j<nz; j++) { 1767 x = rtmp+16*ajtmp[j]; 1768 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = x[9] = 0.0; 1769 x[10] = x[11] = x[12] = x[13] = x[14] = x[15] = 0.0; 1770 } 1771 /* load in initial (unfactored row) */ 1772 nz = ai[i+1] - ai[i]; 1773 ajtmpold = aj + ai[i]; 1774 v = aa + 16*ai[i]; 1775 for (j=0; j<nz; j++) { 1776 x = rtmp+16*ajtmpold[j]; 1777 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 1778 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 1779 x[9] = v[9]; x[10] = v[10]; x[11] = v[11]; x[12] = v[12]; x[13] = v[13]; 1780 x[14] = v[14]; x[15] = v[15]; 1781 v += 16; 1782 } 1783 row = *ajtmp++; 1784 while (row < i) { 1785 pc = rtmp + 16*row; 1786 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 1787 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 1788 p10 = pc[9]; p11 = pc[10]; p12 = pc[11]; p13 = pc[12]; p14 = pc[13]; 1789 p15 = pc[14]; p16 = pc[15]; 1790 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 1791 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0 || p10 != 0.0 || 1792 p11 != 0.0 || p12 != 0.0 || p13 != 0.0 || p14 != 0.0 || p15 != 0.0 1793 || p16 != 0.0) { 1794 pv = ba + 16*diag_offset[row]; 1795 pj = bj + diag_offset[row] + 1; 1796 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1797 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 1798 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; x14 = pv[13]; 1799 x15 = pv[14]; x16 = pv[15]; 1800 pc[0] = m1 = p1*x1 + p5*x2 + p9*x3 + p13*x4; 1801 pc[1] = m2 = p2*x1 + p6*x2 + p10*x3 + p14*x4; 1802 pc[2] = m3 = p3*x1 + p7*x2 + p11*x3 + p15*x4; 1803 pc[3] = m4 = p4*x1 + p8*x2 + p12*x3 + p16*x4; 1804 1805 pc[4] = m5 = p1*x5 + p5*x6 + p9*x7 + p13*x8; 1806 pc[5] = m6 = p2*x5 + p6*x6 + p10*x7 + p14*x8; 1807 pc[6] = m7 = p3*x5 + p7*x6 + p11*x7 + p15*x8; 1808 pc[7] = m8 = p4*x5 + p8*x6 + p12*x7 + p16*x8; 1809 1810 pc[8] = m9 = p1*x9 + p5*x10 + p9*x11 + p13*x12; 1811 pc[9] = m10 = p2*x9 + p6*x10 + p10*x11 + p14*x12; 1812 pc[10] = m11 = p3*x9 + p7*x10 + p11*x11 + p15*x12; 1813 pc[11] = m12 = p4*x9 + p8*x10 + p12*x11 + p16*x12; 1814 1815 pc[12] = m13 = p1*x13 + p5*x14 + p9*x15 + p13*x16; 1816 pc[13] = m14 = p2*x13 + p6*x14 + p10*x15 + p14*x16; 1817 pc[14] = m15 = p3*x13 + p7*x14 + p11*x15 + p15*x16; 1818 pc[15] = m16 = p4*x13 + p8*x14 + p12*x15 + p16*x16; 1819 1820 nz = bi[row+1] - diag_offset[row] - 1; 1821 pv += 16; 1822 for (j=0; j<nz; j++) { 1823 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1824 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 1825 x10 = pv[9]; x11 = pv[10]; x12 = pv[11]; x13 = pv[12]; 1826 x14 = pv[13]; x15 = pv[14]; x16 = pv[15]; 1827 x = rtmp + 16*pj[j]; 1828 x[0] -= m1*x1 + m5*x2 + m9*x3 + m13*x4; 1829 x[1] -= m2*x1 + m6*x2 + m10*x3 + m14*x4; 1830 x[2] -= m3*x1 + m7*x2 + m11*x3 + m15*x4; 1831 x[3] -= m4*x1 + m8*x2 + m12*x3 + m16*x4; 1832 1833 x[4] -= m1*x5 + m5*x6 + m9*x7 + m13*x8; 1834 x[5] -= m2*x5 + m6*x6 + m10*x7 + m14*x8; 1835 x[6] -= m3*x5 + m7*x6 + m11*x7 + m15*x8; 1836 x[7] -= m4*x5 + m8*x6 + m12*x7 + m16*x8; 1837 1838 x[8] -= m1*x9 + m5*x10 + m9*x11 + m13*x12; 1839 x[9] -= m2*x9 + m6*x10 + m10*x11 + m14*x12; 1840 x[10] -= m3*x9 + m7*x10 + m11*x11 + m15*x12; 1841 x[11] -= m4*x9 + m8*x10 + m12*x11 + m16*x12; 1842 1843 x[12] -= m1*x13 + m5*x14 + m9*x15 + m13*x16; 1844 x[13] -= m2*x13 + m6*x14 + m10*x15 + m14*x16; 1845 x[14] -= m3*x13 + m7*x14 + m11*x15 + m15*x16; 1846 x[15] -= m4*x13 + m8*x14 + m12*x15 + m16*x16; 1847 1848 pv += 16; 1849 } 1850 PLogFlops(128*nz+112); 1851 } 1852 row = *ajtmp++; 1853 } 1854 /* finished row so stick it into b->a */ 1855 pv = ba + 16*bi[i]; 1856 pj = bj + bi[i]; 1857 nz = bi[i+1] - bi[i]; 1858 for (j=0; j<nz; j++) { 1859 x = rtmp+16*pj[j]; 1860 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 1861 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 1862 pv[9] = x[9]; pv[10] = x[10]; pv[11] = x[11]; pv[12] = x[12]; 1863 pv[13] = x[13]; pv[14] = x[14]; pv[15] = x[15]; 1864 pv += 16; 1865 } 1866 /* invert diagonal block */ 1867 w = ba + 16*diag_offset[i]; 1868 ierr = Kernel_A_gets_inverse_A_4(w);CHKERRQ(ierr); 1869 } 1870 1871 ierr = PetscFree(rtmp);CHKERRQ(ierr); 1872 C->factor = FACTOR_LU; 1873 C->assembled = PETSC_TRUE; 1874 PLogFlops(1.3333*64*b->mbs); /* from inverting diagonal blocks */ 1875 PetscFunctionReturn(0); 1876 } 1877 1878 1879 /* ------------------------------------------------------------*/ 1880 /* 1881 Version for when blocks are 3 by 3 1882 */ 1883 #undef __FUNC__ 1884 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_3" 1885 int MatCholeskyFactorNumeric_SeqSBAIJ_3(Mat A,Mat *B) 1886 { 1887 Mat C = *B; 1888 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 1889 IS isrow = b->row,isicol = b->icol; 1890 int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 1891 int *ajtmpold,*ajtmp,nz,row,*ai=a->i,*aj=a->j; 1892 int *diag_offset = b->diag,idx,*pj; 1893 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 1894 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 1895 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9; 1896 MatScalar *ba = b->a,*aa = a->a; 1897 1898 PetscFunctionBegin; 1899 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 1900 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 1901 rtmp = (MatScalar*)PetscMalloc(9*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 1902 1903 for (i=0; i<n; i++) { 1904 nz = bi[i+1] - bi[i]; 1905 ajtmp = bj + bi[i]; 1906 for (j=0; j<nz; j++) { 1907 x = rtmp + 9*ajtmp[j]; 1908 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = 0.0; 1909 } 1910 /* load in initial (unfactored row) */ 1911 idx = r[i]; 1912 nz = ai[idx+1] - ai[idx]; 1913 ajtmpold = aj + ai[idx]; 1914 v = aa + 9*ai[idx]; 1915 for (j=0; j<nz; j++) { 1916 x = rtmp + 9*ic[ajtmpold[j]]; 1917 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 1918 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 1919 v += 9; 1920 } 1921 row = *ajtmp++; 1922 while (row < i) { 1923 pc = rtmp + 9*row; 1924 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 1925 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 1926 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 1927 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0) { 1928 pv = ba + 9*diag_offset[row]; 1929 pj = bj + diag_offset[row] + 1; 1930 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1931 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 1932 pc[0] = m1 = p1*x1 + p4*x2 + p7*x3; 1933 pc[1] = m2 = p2*x1 + p5*x2 + p8*x3; 1934 pc[2] = m3 = p3*x1 + p6*x2 + p9*x3; 1935 1936 pc[3] = m4 = p1*x4 + p4*x5 + p7*x6; 1937 pc[4] = m5 = p2*x4 + p5*x5 + p8*x6; 1938 pc[5] = m6 = p3*x4 + p6*x5 + p9*x6; 1939 1940 pc[6] = m7 = p1*x7 + p4*x8 + p7*x9; 1941 pc[7] = m8 = p2*x7 + p5*x8 + p8*x9; 1942 pc[8] = m9 = p3*x7 + p6*x8 + p9*x9; 1943 nz = bi[row+1] - diag_offset[row] - 1; 1944 pv += 9; 1945 for (j=0; j<nz; j++) { 1946 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 1947 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 1948 x = rtmp + 9*pj[j]; 1949 x[0] -= m1*x1 + m4*x2 + m7*x3; 1950 x[1] -= m2*x1 + m5*x2 + m8*x3; 1951 x[2] -= m3*x1 + m6*x2 + m9*x3; 1952 1953 x[3] -= m1*x4 + m4*x5 + m7*x6; 1954 x[4] -= m2*x4 + m5*x5 + m8*x6; 1955 x[5] -= m3*x4 + m6*x5 + m9*x6; 1956 1957 x[6] -= m1*x7 + m4*x8 + m7*x9; 1958 x[7] -= m2*x7 + m5*x8 + m8*x9; 1959 x[8] -= m3*x7 + m6*x8 + m9*x9; 1960 pv += 9; 1961 } 1962 PLogFlops(54*nz+36); 1963 } 1964 row = *ajtmp++; 1965 } 1966 /* finished row so stick it into b->a */ 1967 pv = ba + 9*bi[i]; 1968 pj = bj + bi[i]; 1969 nz = bi[i+1] - bi[i]; 1970 for (j=0; j<nz; j++) { 1971 x = rtmp + 9*pj[j]; 1972 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 1973 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 1974 pv += 9; 1975 } 1976 /* invert diagonal block */ 1977 w = ba + 9*diag_offset[i]; 1978 ierr = Kernel_A_gets_inverse_A_3(w);CHKERRQ(ierr); 1979 } 1980 1981 ierr = PetscFree(rtmp);CHKERRQ(ierr); 1982 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 1983 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 1984 C->factor = FACTOR_LU; 1985 C->assembled = PETSC_TRUE; 1986 PLogFlops(1.3333*27*b->mbs); /* from inverting diagonal blocks */ 1987 PetscFunctionReturn(0); 1988 } 1989 /* 1990 Version for when blocks are 3 by 3 Using natural ordering 1991 */ 1992 #undef __FUNC__ 1993 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_3_NaturalOrdering" 1994 int MatCholeskyFactorNumeric_SeqSBAIJ_3_NaturalOrdering(Mat A,Mat *B) 1995 { 1996 Mat C = *B; 1997 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 1998 int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 1999 int *ajtmpold,*ajtmp,nz,row; 2000 int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 2001 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 2002 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 2003 MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9; 2004 MatScalar *ba = b->a,*aa = a->a; 2005 2006 PetscFunctionBegin; 2007 rtmp = (MatScalar*)PetscMalloc(9*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 2008 2009 for (i=0; i<n; i++) { 2010 nz = bi[i+1] - bi[i]; 2011 ajtmp = bj + bi[i]; 2012 for (j=0; j<nz; j++) { 2013 x = rtmp+9*ajtmp[j]; 2014 x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = 0.0; 2015 } 2016 /* load in initial (unfactored row) */ 2017 nz = ai[i+1] - ai[i]; 2018 ajtmpold = aj + ai[i]; 2019 v = aa + 9*ai[i]; 2020 for (j=0; j<nz; j++) { 2021 x = rtmp+9*ajtmpold[j]; 2022 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 2023 x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 2024 v += 9; 2025 } 2026 row = *ajtmp++; 2027 while (row < i) { 2028 pc = rtmp + 9*row; 2029 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 2030 p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 2031 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 2032 p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0) { 2033 pv = ba + 9*diag_offset[row]; 2034 pj = bj + diag_offset[row] + 1; 2035 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 2036 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 2037 pc[0] = m1 = p1*x1 + p4*x2 + p7*x3; 2038 pc[1] = m2 = p2*x1 + p5*x2 + p8*x3; 2039 pc[2] = m3 = p3*x1 + p6*x2 + p9*x3; 2040 2041 pc[3] = m4 = p1*x4 + p4*x5 + p7*x6; 2042 pc[4] = m5 = p2*x4 + p5*x5 + p8*x6; 2043 pc[5] = m6 = p3*x4 + p6*x5 + p9*x6; 2044 2045 pc[6] = m7 = p1*x7 + p4*x8 + p7*x9; 2046 pc[7] = m8 = p2*x7 + p5*x8 + p8*x9; 2047 pc[8] = m9 = p3*x7 + p6*x8 + p9*x9; 2048 2049 nz = bi[row+1] - diag_offset[row] - 1; 2050 pv += 9; 2051 for (j=0; j<nz; j++) { 2052 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 2053 x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 2054 x = rtmp + 9*pj[j]; 2055 x[0] -= m1*x1 + m4*x2 + m7*x3; 2056 x[1] -= m2*x1 + m5*x2 + m8*x3; 2057 x[2] -= m3*x1 + m6*x2 + m9*x3; 2058 2059 x[3] -= m1*x4 + m4*x5 + m7*x6; 2060 x[4] -= m2*x4 + m5*x5 + m8*x6; 2061 x[5] -= m3*x4 + m6*x5 + m9*x6; 2062 2063 x[6] -= m1*x7 + m4*x8 + m7*x9; 2064 x[7] -= m2*x7 + m5*x8 + m8*x9; 2065 x[8] -= m3*x7 + m6*x8 + m9*x9; 2066 pv += 9; 2067 } 2068 PLogFlops(54*nz+36); 2069 } 2070 row = *ajtmp++; 2071 } 2072 /* finished row so stick it into b->a */ 2073 pv = ba + 9*bi[i]; 2074 pj = bj + bi[i]; 2075 nz = bi[i+1] - bi[i]; 2076 for (j=0; j<nz; j++) { 2077 x = rtmp+9*pj[j]; 2078 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 2079 pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 2080 pv += 9; 2081 } 2082 /* invert diagonal block */ 2083 w = ba + 9*diag_offset[i]; 2084 ierr = Kernel_A_gets_inverse_A_3(w);CHKERRQ(ierr); 2085 } 2086 2087 ierr = PetscFree(rtmp);CHKERRQ(ierr); 2088 C->factor = FACTOR_LU; 2089 C->assembled = PETSC_TRUE; 2090 PLogFlops(1.3333*27*b->mbs); /* from inverting diagonal blocks */ 2091 PetscFunctionReturn(0); 2092 } 2093 2094 /* ------------------------------------------------------------*/ 2095 /* 2096 Version for when blocks are 2 by 2 2097 */ 2098 #undef __FUNC__ 2099 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_2" 2100 int MatCholeskyFactorNumeric_SeqSBAIJ_2(Mat A,Mat *B) 2101 { 2102 Mat C = *B; 2103 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 2104 IS isrow = b->row,isicol = b->icol; 2105 int *r,*ic,ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 2106 int *ajtmpold,*ajtmp,nz,row; 2107 int *diag_offset=b->diag,idx,*ai=a->i,*aj=a->j,*pj; 2108 MatScalar *pv,*v,*rtmp,m1,m2,m3,m4,*pc,*w,*x,x1,x2,x3,x4; 2109 MatScalar p1,p2,p3,p4; 2110 MatScalar *ba = b->a,*aa = a->a; 2111 2112 PetscFunctionBegin; 2113 ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 2114 ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 2115 rtmp = (MatScalar*)PetscMalloc(4*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 2116 2117 for (i=0; i<n; i++) { 2118 nz = bi[i+1] - bi[i]; 2119 ajtmp = bj + bi[i]; 2120 for (j=0; j<nz; j++) { 2121 x = rtmp+4*ajtmp[j]; x[0] = x[1] = x[2] = x[3] = 0.0; 2122 } 2123 /* load in initial (unfactored row) */ 2124 idx = r[i]; 2125 nz = ai[idx+1] - ai[idx]; 2126 ajtmpold = aj + ai[idx]; 2127 v = aa + 4*ai[idx]; 2128 for (j=0; j<nz; j++) { 2129 x = rtmp+4*ic[ajtmpold[j]]; 2130 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 2131 v += 4; 2132 } 2133 row = *ajtmp++; 2134 while (row < i) { 2135 pc = rtmp + 4*row; 2136 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 2137 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0) { 2138 pv = ba + 4*diag_offset[row]; 2139 pj = bj + diag_offset[row] + 1; 2140 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 2141 pc[0] = m1 = p1*x1 + p3*x2; 2142 pc[1] = m2 = p2*x1 + p4*x2; 2143 pc[2] = m3 = p1*x3 + p3*x4; 2144 pc[3] = m4 = p2*x3 + p4*x4; 2145 nz = bi[row+1] - diag_offset[row] - 1; 2146 pv += 4; 2147 for (j=0; j<nz; j++) { 2148 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 2149 x = rtmp + 4*pj[j]; 2150 x[0] -= m1*x1 + m3*x2; 2151 x[1] -= m2*x1 + m4*x2; 2152 x[2] -= m1*x3 + m3*x4; 2153 x[3] -= m2*x3 + m4*x4; 2154 pv += 4; 2155 } 2156 PLogFlops(16*nz+12); 2157 } 2158 row = *ajtmp++; 2159 } 2160 /* finished row so stick it into b->a */ 2161 pv = ba + 4*bi[i]; 2162 pj = bj + bi[i]; 2163 nz = bi[i+1] - bi[i]; 2164 for (j=0; j<nz; j++) { 2165 x = rtmp+4*pj[j]; 2166 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 2167 pv += 4; 2168 } 2169 /* invert diagonal block */ 2170 w = ba + 4*diag_offset[i]; 2171 ierr = Kernel_A_gets_inverse_A_2(w);CHKERRQ(ierr); 2172 /*Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work);*/ 2173 } 2174 2175 ierr = PetscFree(rtmp);CHKERRQ(ierr); 2176 ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 2177 ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 2178 C->factor = FACTOR_LU; 2179 C->assembled = PETSC_TRUE; 2180 PLogFlops(1.3333*8*b->mbs); /* from inverting diagonal blocks */ 2181 PetscFunctionReturn(0); 2182 } 2183 /* 2184 Version for when blocks are 2 by 2 Using natural ordering 2185 */ 2186 #undef __FUNC__ 2187 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_2_NaturalOrdering" 2188 int MatCholeskyFactorNumeric_SeqSBAIJ_2_NaturalOrdering(Mat A,Mat *B) 2189 { 2190 Mat C = *B; 2191 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 2192 int ierr,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 2193 int *ajtmpold,*ajtmp,nz,row; 2194 int *diag_offset = b->diag,*ai=a->i,*aj=a->j,*pj; 2195 MatScalar *pv,*v,*rtmp,*pc,*w,*x; 2196 MatScalar p1,p2,p3,p4,m1,m2,m3,m4,x1,x2,x3,x4; 2197 MatScalar *ba = b->a,*aa = a->a; 2198 2199 PetscFunctionBegin; 2200 rtmp = (MatScalar*)PetscMalloc(4*(n+1)*sizeof(MatScalar));CHKPTRQ(rtmp); 2201 2202 for (i=0; i<n; i++) { 2203 nz = bi[i+1] - bi[i]; 2204 ajtmp = bj + bi[i]; 2205 for (j=0; j<nz; j++) { 2206 x = rtmp+4*ajtmp[j]; 2207 x[0] = x[1] = x[2] = x[3] = 0.0; 2208 } 2209 /* load in initial (unfactored row) */ 2210 nz = ai[i+1] - ai[i]; 2211 ajtmpold = aj + ai[i]; 2212 v = aa + 4*ai[i]; 2213 for (j=0; j<nz; j++) { 2214 x = rtmp+4*ajtmpold[j]; 2215 x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 2216 v += 4; 2217 } 2218 row = *ajtmp++; 2219 while (row < i) { 2220 pc = rtmp + 4*row; 2221 p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 2222 if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0) { 2223 pv = ba + 4*diag_offset[row]; 2224 pj = bj + diag_offset[row] + 1; 2225 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 2226 pc[0] = m1 = p1*x1 + p3*x2; 2227 pc[1] = m2 = p2*x1 + p4*x2; 2228 pc[2] = m3 = p1*x3 + p3*x4; 2229 pc[3] = m4 = p2*x3 + p4*x4; 2230 nz = bi[row+1] - diag_offset[row] - 1; 2231 pv += 4; 2232 for (j=0; j<nz; j++) { 2233 x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 2234 x = rtmp + 4*pj[j]; 2235 x[0] -= m1*x1 + m3*x2; 2236 x[1] -= m2*x1 + m4*x2; 2237 x[2] -= m1*x3 + m3*x4; 2238 x[3] -= m2*x3 + m4*x4; 2239 pv += 4; 2240 } 2241 PLogFlops(16*nz+12); 2242 } 2243 row = *ajtmp++; 2244 } 2245 /* finished row so stick it into b->a */ 2246 pv = ba + 4*bi[i]; 2247 pj = bj + bi[i]; 2248 nz = bi[i+1] - bi[i]; 2249 for (j=0; j<nz; j++) { 2250 x = rtmp+4*pj[j]; 2251 pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 2252 pv += 4; 2253 } 2254 /* invert diagonal block */ 2255 w = ba + 4*diag_offset[i]; 2256 ierr = Kernel_A_gets_inverse_A_2(w);CHKERRQ(ierr); 2257 /*Kernel_A_gets_inverse_A(bs,w,v_pivots,v_work);*/ 2258 } 2259 2260 ierr = PetscFree(rtmp);CHKERRQ(ierr); 2261 C->factor = FACTOR_LU; 2262 C->assembled = PETSC_TRUE; 2263 PLogFlops(1.3333*8*b->mbs); /* from inverting diagonal blocks */ 2264 PetscFunctionReturn(0); 2265 } 2266 2267 /* ----------------------------------------------------------- */ 2268 /* 2269 Version for when blocks are 1 by 1. 2270 */ 2271 #undef __FUNC__ 2272 #define __FUNC__ "MatCholeskyFactorNumeric_SeqSBAIJ_1" 2273 int MatCholeskyFactorNumeric_SeqSBAIJ_1(Mat A,Mat *B) 2274 { 2275 Mat C = *B; 2276 Mat_SeqSBAIJ *a = (Mat_SeqSBAIJ*)A->data,*b = (Mat_SeqSBAIJ *)C->data; 2277 IS ip = b->row; 2278 int *rip,*riip,ierr,i,j,mbs = a->mbs,*bi = b->i,*bj = b->j; 2279 int *ai = a->i,*aj = a->j; 2280 MatScalar *rtmp; 2281 MatScalar *ba = b->a,*aa = a->a; 2282 MatScalar dk,uikdi; 2283 int k,jmin,jmax,*jl,*il,vj,nexti,juj,ili; 2284 2285 PetscFunctionBegin; 2286 ierr = ISGetIndices(ip,&rip);CHKERRQ(ierr); 2287 riip = rip; 2288 2289 /* INITIALIZATION */ 2290 /* il and jl record the first nonzero element in each row of the accessing 2291 window U(0:k, k:mbs-1). 2292 jl: list of rows to be added to uneliminated rows 2293 i>= k: jl(i) is the first row to be added to row i 2294 i< k: jl(i) is the row following row i in some list of rows 2295 jl(i) = mbs indicates the end of a list 2296 il(i): points to the first nonzero element in columns k,...,mbs-1 of 2297 row i of U */ 2298 rtmp = (MatScalar*)PetscMalloc(mbs*sizeof(MatScalar));CHKPTRQ(rtmp); 2299 il = (int*)PetscMalloc(mbs*sizeof(int));CHKPTRQ(il); 2300 jl = (int*)PetscMalloc(mbs*sizeof(int));CHKPTRQ(jl); 2301 for (i=0; i<mbs; i++) { 2302 rtmp[i] = 0.0; jl[i] = mbs; il[0] = 0; 2303 } 2304 2305 /* FOR EACH ROW K */ 2306 for (k = 0; k<mbs; k++){ 2307 2308 /* INITIALIZE K-TH ROW WITH ELEMENTS NONZERO IN ROW P(K) OF A */ 2309 jmin = ai[rip[k]]; jmax = ai[rip[k]+1]; 2310 if (jmin < jmax) { 2311 for (j = jmin; j < jmax; j++){ 2312 vj = riip[aj[j]]; 2313 if (k <= vj) rtmp[vj] = aa[j]; 2314 } 2315 } 2316 2317 /* MODIFY K-TH ROW BY ADDING IN THOSE ROWS I WITH U(I,K) NE 0 2318 FOR EACH ROW I TO BE ADDED IN */ 2319 dk = rtmp[k]; 2320 i = jl[k]; /* first row to be added to k_th row */ 2321 /* printf(" k=%d, pivot row = %d\n",k,i); */ 2322 2323 while (i < mbs){ 2324 nexti = jl[i]; /* next row to be added to k_th row */ 2325 /* printf(" pivot row = %d\n", nexti); */ 2326 2327 /* COMPUTE MULTIPLIER AND UPDATE DIAGONAL ELEMENT */ 2328 ili = il[i]; /* index of first nonzero element in U(i,k:bms-1) */ 2329 uikdi = - ba[ili]*ba[i]; 2330 dk += uikdi*ba[ili]; 2331 ba[ili] = uikdi; /* update U(i,k) */ 2332 2333 /* ADD MULTIPLE OF ROW I TO K-TH ROW ... */ 2334 jmin = ili + 1; jmax = bi[i+1]; 2335 if (jmin < jmax){ 2336 for (j=jmin; j<jmax; j++) rtmp[bj[j]] += uikdi*ba[j]; 2337 /* ... AND ADD I TO ROW LIST FOR NEXT NONZERO ENTRY */ 2338 il[i] = jmin; /* update il(i) in column k+1, ... mbs-1 */ 2339 j = bj[jmin]; 2340 jl[i] = jl[j]; jl[j] = i; /* update jl */ 2341 } 2342 i = nexti; 2343 /* printf(" pivot row i=%d\n",i); */ 2344 } 2345 2346 /* CHECK FOR ZERO PIVOT AND SAVE DIAGONAL ELEMENT */ 2347 if (dk == 0.0){ 2348 SETERRQ(PETSC_ERR_MAT_LU_ZRPVT,0,"Zero pivot"); 2349 } 2350 2351 /* SAVE NONZERO ENTRIES IN K-TH ROW OF U ... */ 2352 ba[k] = 1.0/dk; 2353 jmin = bi[k]; jmax = bi[k+1]; 2354 if (jmin < jmax) { 2355 for (j=jmin; j<jmax; j++){ 2356 juj = bj[j]; ba[j] = rtmp[juj]; rtmp[juj] = 0.0; 2357 } 2358 2359 /* ... AND ADD K TO ROW LIST FOR FIRST NONZERO ENTRY IN K-TH ROW */ 2360 il[k] = jmin; 2361 i = bj[jmin]; 2362 jl[k] = jl[i]; jl[i] = k; 2363 } 2364 } 2365 2366 ierr = PetscFree(rtmp);CHKERRQ(ierr); 2367 ierr = PetscFree(il);CHKERRQ(ierr); 2368 ierr = PetscFree(jl);CHKERRQ(ierr); 2369 2370 ierr = ISRestoreIndices(ip,&rip);CHKERRQ(ierr); 2371 C->factor = FACTOR_LU; 2372 C->assembled = PETSC_TRUE; 2373 PLogFlops(b->mbs); 2374 PetscFunctionReturn(0); 2375 } 2376 2377 #undef __FUNC__ 2378 #define __FUNC__ "MatCholeskyFactor_SeqSBAIJ" 2379 int MatCholeskyFactor_SeqSBAIJ(Mat A,IS perm,PetscReal f) 2380 { 2381 Mat_SeqSBAIJ *mat = (Mat_SeqSBAIJ*)A->data; 2382 int ierr,refct; 2383 Mat C; 2384 PetscOps *Abops; 2385 MatOps Aops; 2386 2387 PetscFunctionBegin; 2388 ierr = MatCholeskyFactorSymbolic(A,perm,f,&C);CHKERRQ(ierr); 2389 ierr = MatCholeskyFactorNumeric(A,&C);CHKERRQ(ierr); 2390 2391 /* free all the data structures from mat */ 2392 ierr = PetscFree(mat->a);CHKERRQ(ierr); 2393 if (!mat->singlemalloc) { 2394 ierr = PetscFree(mat->i);CHKERRQ(ierr); 2395 ierr = PetscFree(mat->j);CHKERRQ(ierr); 2396 } 2397 if (mat->diag) {ierr = PetscFree(mat->diag);CHKERRQ(ierr);} 2398 if (mat->ilen) {ierr = PetscFree(mat->ilen);CHKERRQ(ierr);} 2399 if (mat->imax) {ierr = PetscFree(mat->imax);CHKERRQ(ierr);} 2400 if (mat->solve_work) {ierr = PetscFree(mat->solve_work);CHKERRQ(ierr);} 2401 if (mat->mult_work) {ierr = PetscFree(mat->mult_work);CHKERRQ(ierr);} 2402 if (mat->icol) {ierr = ISDestroy(mat->icol);CHKERRQ(ierr);} 2403 ierr = PetscFree(mat);CHKERRQ(ierr); 2404 2405 ierr = MapDestroy(A->rmap);CHKERRQ(ierr); 2406 ierr = MapDestroy(A->cmap);CHKERRQ(ierr); 2407 2408 /* 2409 This is horrible,horrible code. We need to keep the 2410 A pointers for the bops and ops but copy everything 2411 else from C. 2412 */ 2413 Abops = A->bops; 2414 Aops = A->ops; 2415 refct = A->refct; 2416 ierr = PetscMemcpy(A,C,sizeof(struct _p_Mat));CHKERRQ(ierr); 2417 mat = (Mat_SeqSBAIJ*)A->data; 2418 PLogObjectParent(A,mat->icol); 2419 2420 A->bops = Abops; 2421 A->ops = Aops; 2422 A->qlist = 0; 2423 A->refct = refct; 2424 /* copy over the type_name and name */ 2425 ierr = PetscStrallocpy(C->type_name,&A->type_name);CHKERRQ(ierr); 2426 ierr = PetscStrallocpy(C->name,&A->name);CHKERRQ(ierr); 2427 2428 PetscHeaderDestroy(C); 2429 PetscFunctionReturn(0); 2430 } 2431 2432 2433