1 #include <../src/mat/impls/baij/seq/baij.h> 2 3 PetscErrorCode MatSolveTranspose_SeqBAIJ_7_NaturalOrdering_inplace(Mat A,Vec bb,Vec xx) 4 { 5 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data; 6 PetscErrorCode ierr; 7 const PetscInt *diag=a->diag,n=a->mbs,*vi,*ai=a->i,*aj=a->j; 8 PetscInt i,nz,idx,idt,oidx; 9 const MatScalar *aa=a->a,*v; 10 PetscScalar s1,s2,s3,s4,s5,s6,s7,x1,x2,x3,x4,x5,x6,x7,*x; 11 12 PetscFunctionBegin; 13 ierr = VecCopy(bb,xx);CHKERRQ(ierr); 14 ierr = VecGetArray(xx,&x);CHKERRQ(ierr); 15 16 /* forward solve the U^T */ 17 idx = 0; 18 for (i=0; i<n; i++) { 19 20 v = aa + 49*diag[i]; 21 /* multiply by the inverse of the block diagonal */ 22 x1 = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; 23 x6 = x[5+idx]; x7 = x[6+idx]; 24 s1 = v[0]*x1 + v[1]*x2 + v[2]*x3 + v[3]*x4 + v[4]*x5 + v[5]*x6 + v[6]*x7; 25 s2 = v[7]*x1 + v[8]*x2 + v[9]*x3 + v[10]*x4 + v[11]*x5 + v[12]*x6 + v[13]*x7; 26 s3 = v[14]*x1 + v[15]*x2 + v[16]*x3 + v[17]*x4 + v[18]*x5 + v[19]*x6 + v[20]*x7; 27 s4 = v[21]*x1 + v[22]*x2 + v[23]*x3 + v[24]*x4 + v[25]*x5 + v[26]*x6 + v[27]*x7; 28 s5 = v[28]*x1 + v[29]*x2 + v[30]*x3 + v[31]*x4 + v[32]*x5 + v[33]*x6 + v[34]*x7; 29 s6 = v[35]*x1 + v[36]*x2 + v[37]*x3 + v[38]*x4 + v[39]*x5 + v[40]*x6 + v[41]*x7; 30 s7 = v[42]*x1 + v[43]*x2 + v[44]*x3 + v[45]*x4 + v[46]*x5 + v[47]*x6 + v[48]*x7; 31 v += 49; 32 33 vi = aj + diag[i] + 1; 34 nz = ai[i+1] - diag[i] - 1; 35 while (nz--) { 36 oidx = 7*(*vi++); 37 x[oidx] -= v[0]*s1 + v[1]*s2 + v[2]*s3 + v[3]*s4 + v[4]*s5 + v[5]*s6 + v[6]*s7; 38 x[oidx+1] -= v[7]*s1 + v[8]*s2 + v[9]*s3 + v[10]*s4 + v[11]*s5 + v[12]*s6 + v[13]*s7; 39 x[oidx+2] -= v[14]*s1 + v[15]*s2 + v[16]*s3 + v[17]*s4 + v[18]*s5 + v[19]*s6 + v[20]*s7; 40 x[oidx+3] -= v[21]*s1 + v[22]*s2 + v[23]*s3 + v[24]*s4 + v[25]*s5 + v[26]*s6 + v[27]*s7; 41 x[oidx+4] -= v[28]*s1 + v[29]*s2 + v[30]*s3 + v[31]*s4 + v[32]*s5 + v[33]*s6 + v[34]*s7; 42 x[oidx+5] -= v[35]*s1 + v[36]*s2 + v[37]*s3 + v[38]*s4 + v[39]*s5 + v[40]*s6 + v[41]*s7; 43 x[oidx+6] -= v[42]*s1 + v[43]*s2 + v[44]*s3 + v[45]*s4 + v[46]*s5 + v[47]*s6 + v[48]*s7; 44 v += 49; 45 } 46 x[idx] = s1;x[1+idx] = s2; x[2+idx] = s3;x[3+idx] = s4; x[4+idx] = s5; 47 x[5+idx] = s6;x[6+idx] = s7; 48 idx += 7; 49 } 50 /* backward solve the L^T */ 51 for (i=n-1; i>=0; i--) { 52 v = aa + 49*diag[i] - 49; 53 vi = aj + diag[i] - 1; 54 nz = diag[i] - ai[i]; 55 idt = 7*i; 56 s1 = x[idt]; s2 = x[1+idt]; s3 = x[2+idt];s4 = x[3+idt]; s5 = x[4+idt]; 57 s6 = x[5+idt];s7 = x[6+idt]; 58 while (nz--) { 59 idx = 7*(*vi--); 60 x[idx] -= v[0]*s1 + v[1]*s2 + v[2]*s3 + v[3]*s4 + v[4]*s5 + v[5]*s6 + v[6]*s7; 61 x[idx+1] -= v[7]*s1 + v[8]*s2 + v[9]*s3 + v[10]*s4 + v[11]*s5 + v[12]*s6 + v[13]*s7; 62 x[idx+2] -= v[14]*s1 + v[15]*s2 + v[16]*s3 + v[17]*s4 + v[18]*s5 + v[19]*s6 + v[20]*s7; 63 x[idx+3] -= v[21]*s1 + v[22]*s2 + v[23]*s3 + v[24]*s4 + v[25]*s5 + v[26]*s6 + v[27]*s7; 64 x[idx+4] -= v[28]*s1 + v[29]*s2 + v[30]*s3 + v[31]*s4 + v[32]*s5 + v[33]*s6 + v[34]*s7; 65 x[idx+5] -= v[35]*s1 + v[36]*s2 + v[37]*s3 + v[38]*s4 + v[39]*s5 + v[40]*s6 + v[41]*s7; 66 x[idx+6] -= v[42]*s1 + v[43]*s2 + v[44]*s3 + v[45]*s4 + v[46]*s5 + v[47]*s6 + v[48]*s7; 67 v -= 49; 68 } 69 } 70 ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr); 71 ierr = PetscLogFlops(2.0*49*(a->nz) - 7.0*A->cmap->n);CHKERRQ(ierr); 72 PetscFunctionReturn(0); 73 } 74 PetscErrorCode MatSolveTranspose_SeqBAIJ_7_NaturalOrdering(Mat A,Vec bb,Vec xx) 75 { 76 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data; 77 PetscErrorCode ierr; 78 const PetscInt n=a->mbs,*vi,*ai=a->i,*aj=a->j,*diag=a->diag; 79 PetscInt nz,idx,idt,j,i,oidx; 80 const PetscInt bs =A->rmap->bs,bs2=a->bs2; 81 const MatScalar *aa=a->a,*v; 82 PetscScalar s1,s2,s3,s4,s5,s6,s7,x1,x2,x3,x4,x5,x6,x7,*x; 83 84 PetscFunctionBegin; 85 ierr = VecCopy(bb,xx);CHKERRQ(ierr); 86 ierr = VecGetArray(xx,&x);CHKERRQ(ierr); 87 88 /* forward solve the U^T */ 89 idx = 0; 90 for (i=0; i<n; i++) { 91 v = aa + bs2*diag[i]; 92 /* multiply by the inverse of the block diagonal */ 93 x1 = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; 94 x5 = x[4+idx]; x6 = x[5+idx]; x7 = x[6+idx]; 95 s1 = v[0]*x1 + v[1]*x2 + v[2]*x3 + v[3]*x4 + v[4]*x5 + v[5]*x6 + v[6]*x7; 96 s2 = v[7]*x1 + v[8]*x2 + v[9]*x3 + v[10]*x4 + v[11]*x5 + v[12]*x6 + v[13]*x7; 97 s3 = v[14]*x1 + v[15]*x2 + v[16]*x3 + v[17]*x4 + v[18]*x5 + v[19]*x6 + v[20]*x7; 98 s4 = v[21]*x1 + v[22]*x2 + v[23]*x3 + v[24]*x4 + v[25]*x5 + v[26]*x6 + v[27]*x7; 99 s5 = v[28]*x1 + v[29]*x2 + v[30]*x3 + v[31]*x4 + v[32]*x5 + v[33]*x6 + v[34]*x7; 100 s6 = v[35]*x1 + v[36]*x2 + v[37]*x3 + v[38]*x4 + v[39]*x5 + v[40]*x6 + v[41]*x7; 101 s7 = v[42]*x1 + v[43]*x2 + v[44]*x3 + v[45]*x4 + v[46]*x5 + v[47]*x6 + v[48]*x7; 102 v -= bs2; 103 vi = aj + diag[i] - 1; 104 nz = diag[i] - diag[i+1] - 1; 105 for (j=0; j>-nz; j--) { 106 oidx = bs*vi[j]; 107 x[oidx] -= v[0]*s1 + v[1]*s2 + v[2]*s3 + v[3]*s4 + v[4]*s5 + v[5]*s6 + v[6]*s7; 108 x[oidx+1] -= v[7]*s1 + v[8]*s2 + v[9]*s3 + v[10]*s4 + v[11]*s5 + v[12]*s6 + v[13]*s7; 109 x[oidx+2] -= v[14]*s1 + v[15]*s2 + v[16]*s3 + v[17]*s4 + v[18]*s5 + v[19]*s6 + v[20]*s7; 110 x[oidx+3] -= v[21]*s1 + v[22]*s2 + v[23]*s3 + v[24]*s4 + v[25]*s5 + v[26]*s6 + v[27]*s7; 111 x[oidx+4] -= v[28]*s1 + v[29]*s2 + v[30]*s3 + v[31]*s4 + v[32]*s5 + v[33]*s6 + v[34]*s7; 112 x[oidx+5] -= v[35]*s1 + v[36]*s2 + v[37]*s3 + v[38]*s4 + v[39]*s5 + v[40]*s6 + v[41]*s7; 113 x[oidx+6] -= v[42]*s1 + v[43]*s2 + v[44]*s3 + v[45]*s4 + v[46]*s5 + v[47]*s6 + v[48]*s7; 114 v -= bs2; 115 } 116 x[idx] = s1; x[1+idx] = s2; x[2+idx] = s3; x[3+idx] = s4; x[4+idx] = s5; 117 x[5+idx] = s6; x[6+idx] = s7; 118 idx += bs; 119 } 120 /* backward solve the L^T */ 121 for (i=n-1; i>=0; i--) { 122 v = aa + bs2*ai[i]; 123 vi = aj + ai[i]; 124 nz = ai[i+1] - ai[i]; 125 idt = bs*i; 126 s1 = x[idt]; s2 = x[1+idt]; s3 = x[2+idt]; s4 = x[3+idt]; s5 = x[4+idt]; 127 s6 = x[5+idt]; s7 = x[6+idt]; 128 for (j=0; j<nz; j++) { 129 idx = bs*vi[j]; 130 x[idx] -= v[0]*s1 + v[1]*s2 + v[2]*s3 + v[3]*s4 + v[4]*s5 + v[5]*s6 + v[6]*s7; 131 x[idx+1] -= v[7]*s1 + v[8]*s2 + v[9]*s3 + v[10]*s4 + v[11]*s5 + v[12]*s6 + v[13]*s7; 132 x[idx+2] -= v[14]*s1 + v[15]*s2 + v[16]*s3 + v[17]*s4 + v[18]*s5 + v[19]*s6 + v[20]*s7; 133 x[idx+3] -= v[21]*s1 + v[22]*s2 + v[23]*s3 + v[24]*s4 + v[25]*s5 + v[26]*s6 + v[27]*s7; 134 x[idx+4] -= v[28]*s1 + v[29]*s2 + v[30]*s3 + v[31]*s4 + v[32]*s5 + v[33]*s6 + v[34]*s7; 135 x[idx+5] -= v[35]*s1 + v[36]*s2 + v[37]*s3 + v[38]*s4 + v[39]*s5 + v[40]*s6 + v[41]*s7; 136 x[idx+6] -= v[42]*s1 + v[43]*s2 + v[44]*s3 + v[45]*s4 + v[46]*s5 + v[47]*s6 + v[48]*s7; 137 v += bs2; 138 } 139 } 140 ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr); 141 ierr = PetscLogFlops(2.0*bs2*(a->nz) - bs*A->cmap->n);CHKERRQ(ierr); 142 PetscFunctionReturn(0); 143 } 144 145