183287d42SBarry Smith /* 283287d42SBarry Smith Factorization code for BAIJ format. 383287d42SBarry Smith */ 483287d42SBarry Smith #include "src/mat/impls/baij/seq/baij.h" 583287d42SBarry Smith #include "src/inline/ilu.h" 683287d42SBarry Smith 783287d42SBarry Smith /* ------------------------------------------------------------*/ 883287d42SBarry Smith /* 983287d42SBarry Smith Version for when blocks are 3 by 3 1083287d42SBarry Smith */ 114a2ae208SSatish Balay #undef __FUNCT__ 124a2ae208SSatish Balay #define __FUNCT__ "MatLUFactorNumeric_SeqBAIJ_3" 13dfbe8321SBarry Smith PetscErrorCode MatLUFactorNumeric_SeqBAIJ_3(Mat A,Mat *B) 1483287d42SBarry Smith { 1583287d42SBarry Smith Mat C = *B; 1683287d42SBarry Smith Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data,*b = (Mat_SeqBAIJ *)C->data; 1783287d42SBarry Smith IS isrow = b->row,isicol = b->icol; 18*6849ba73SBarry Smith PetscErrorCode ierr; 19*6849ba73SBarry Smith int *r,*ic,i,j,n = a->mbs,*bi = b->i,*bj = b->j; 2083287d42SBarry Smith int *ajtmpold,*ajtmp,nz,row,*ai=a->i,*aj=a->j; 2183287d42SBarry Smith int *diag_offset = b->diag,idx,*pj; 2283287d42SBarry Smith MatScalar *pv,*v,*rtmp,*pc,*w,*x; 2383287d42SBarry Smith MatScalar p1,p2,p3,p4,m1,m2,m3,m4,m5,m6,m7,m8,m9,x1,x2,x3,x4; 2483287d42SBarry Smith MatScalar p5,p6,p7,p8,p9,x5,x6,x7,x8,x9; 2583287d42SBarry Smith MatScalar *ba = b->a,*aa = a->a; 2683287d42SBarry Smith 2783287d42SBarry Smith PetscFunctionBegin; 2883287d42SBarry Smith ierr = ISGetIndices(isrow,&r);CHKERRQ(ierr); 2983287d42SBarry Smith ierr = ISGetIndices(isicol,&ic);CHKERRQ(ierr); 30b0a32e0cSBarry Smith ierr = PetscMalloc(9*(n+1)*sizeof(MatScalar),&rtmp);CHKERRQ(ierr); 3183287d42SBarry Smith 3283287d42SBarry Smith for (i=0; i<n; i++) { 3383287d42SBarry Smith nz = bi[i+1] - bi[i]; 3483287d42SBarry Smith ajtmp = bj + bi[i]; 3583287d42SBarry Smith for (j=0; j<nz; j++) { 3683287d42SBarry Smith x = rtmp + 9*ajtmp[j]; 3783287d42SBarry Smith x[0] = x[1] = x[2] = x[3] = x[4] = x[5] = x[6] = x[7] = x[8] = 0.0; 3883287d42SBarry Smith } 3983287d42SBarry Smith /* load in initial (unfactored row) */ 4083287d42SBarry Smith idx = r[i]; 4183287d42SBarry Smith nz = ai[idx+1] - ai[idx]; 4283287d42SBarry Smith ajtmpold = aj + ai[idx]; 4383287d42SBarry Smith v = aa + 9*ai[idx]; 4483287d42SBarry Smith for (j=0; j<nz; j++) { 4583287d42SBarry Smith x = rtmp + 9*ic[ajtmpold[j]]; 4683287d42SBarry Smith x[0] = v[0]; x[1] = v[1]; x[2] = v[2]; x[3] = v[3]; 4783287d42SBarry Smith x[4] = v[4]; x[5] = v[5]; x[6] = v[6]; x[7] = v[7]; x[8] = v[8]; 4883287d42SBarry Smith v += 9; 4983287d42SBarry Smith } 5083287d42SBarry Smith row = *ajtmp++; 5183287d42SBarry Smith while (row < i) { 5283287d42SBarry Smith pc = rtmp + 9*row; 5383287d42SBarry Smith p1 = pc[0]; p2 = pc[1]; p3 = pc[2]; p4 = pc[3]; 5483287d42SBarry Smith p5 = pc[4]; p6 = pc[5]; p7 = pc[6]; p8 = pc[7]; p9 = pc[8]; 5583287d42SBarry Smith if (p1 != 0.0 || p2 != 0.0 || p3 != 0.0 || p4 != 0.0 || p5 != 0.0 || 5683287d42SBarry Smith p6 != 0.0 || p7 != 0.0 || p8 != 0.0 || p9 != 0.0) { 5783287d42SBarry Smith pv = ba + 9*diag_offset[row]; 5883287d42SBarry Smith pj = bj + diag_offset[row] + 1; 5983287d42SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 6083287d42SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 6183287d42SBarry Smith pc[0] = m1 = p1*x1 + p4*x2 + p7*x3; 6283287d42SBarry Smith pc[1] = m2 = p2*x1 + p5*x2 + p8*x3; 6383287d42SBarry Smith pc[2] = m3 = p3*x1 + p6*x2 + p9*x3; 6483287d42SBarry Smith 6583287d42SBarry Smith pc[3] = m4 = p1*x4 + p4*x5 + p7*x6; 6683287d42SBarry Smith pc[4] = m5 = p2*x4 + p5*x5 + p8*x6; 6783287d42SBarry Smith pc[5] = m6 = p3*x4 + p6*x5 + p9*x6; 6883287d42SBarry Smith 6983287d42SBarry Smith pc[6] = m7 = p1*x7 + p4*x8 + p7*x9; 7083287d42SBarry Smith pc[7] = m8 = p2*x7 + p5*x8 + p8*x9; 7183287d42SBarry Smith pc[8] = m9 = p3*x7 + p6*x8 + p9*x9; 7283287d42SBarry Smith nz = bi[row+1] - diag_offset[row] - 1; 7383287d42SBarry Smith pv += 9; 7483287d42SBarry Smith for (j=0; j<nz; j++) { 7583287d42SBarry Smith x1 = pv[0]; x2 = pv[1]; x3 = pv[2]; x4 = pv[3]; 7683287d42SBarry Smith x5 = pv[4]; x6 = pv[5]; x7 = pv[6]; x8 = pv[7]; x9 = pv[8]; 7783287d42SBarry Smith x = rtmp + 9*pj[j]; 7883287d42SBarry Smith x[0] -= m1*x1 + m4*x2 + m7*x3; 7983287d42SBarry Smith x[1] -= m2*x1 + m5*x2 + m8*x3; 8083287d42SBarry Smith x[2] -= m3*x1 + m6*x2 + m9*x3; 8183287d42SBarry Smith 8283287d42SBarry Smith x[3] -= m1*x4 + m4*x5 + m7*x6; 8383287d42SBarry Smith x[4] -= m2*x4 + m5*x5 + m8*x6; 8483287d42SBarry Smith x[5] -= m3*x4 + m6*x5 + m9*x6; 8583287d42SBarry Smith 8683287d42SBarry Smith x[6] -= m1*x7 + m4*x8 + m7*x9; 8783287d42SBarry Smith x[7] -= m2*x7 + m5*x8 + m8*x9; 8883287d42SBarry Smith x[8] -= m3*x7 + m6*x8 + m9*x9; 8983287d42SBarry Smith pv += 9; 9083287d42SBarry Smith } 91b0a32e0cSBarry Smith PetscLogFlops(54*nz+36); 9283287d42SBarry Smith } 9383287d42SBarry Smith row = *ajtmp++; 9483287d42SBarry Smith } 9583287d42SBarry Smith /* finished row so stick it into b->a */ 9683287d42SBarry Smith pv = ba + 9*bi[i]; 9783287d42SBarry Smith pj = bj + bi[i]; 9883287d42SBarry Smith nz = bi[i+1] - bi[i]; 9983287d42SBarry Smith for (j=0; j<nz; j++) { 10083287d42SBarry Smith x = rtmp + 9*pj[j]; 10183287d42SBarry Smith pv[0] = x[0]; pv[1] = x[1]; pv[2] = x[2]; pv[3] = x[3]; 10283287d42SBarry Smith pv[4] = x[4]; pv[5] = x[5]; pv[6] = x[6]; pv[7] = x[7]; pv[8] = x[8]; 10383287d42SBarry Smith pv += 9; 10483287d42SBarry Smith } 10583287d42SBarry Smith /* invert diagonal block */ 10683287d42SBarry Smith w = ba + 9*diag_offset[i]; 10783287d42SBarry Smith ierr = Kernel_A_gets_inverse_A_3(w);CHKERRQ(ierr); 10883287d42SBarry Smith } 10983287d42SBarry Smith 11083287d42SBarry Smith ierr = PetscFree(rtmp);CHKERRQ(ierr); 11183287d42SBarry Smith ierr = ISRestoreIndices(isicol,&ic);CHKERRQ(ierr); 11283287d42SBarry Smith ierr = ISRestoreIndices(isrow,&r);CHKERRQ(ierr); 11383287d42SBarry Smith C->factor = FACTOR_LU; 11483287d42SBarry Smith C->assembled = PETSC_TRUE; 115b0a32e0cSBarry Smith PetscLogFlops(1.3333*27*b->mbs); /* from inverting diagonal blocks */ 11683287d42SBarry Smith PetscFunctionReturn(0); 11783287d42SBarry Smith } 118