1 #include <../src/mat/impls/baij/seq/baij.h> 2 3 PetscErrorCode MatSolveTranspose_SeqBAIJ_5_NaturalOrdering_inplace(Mat A,Vec bb,Vec xx) 4 { 5 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data; 6 const PetscInt *diag=a->diag,n=a->mbs,*vi,*ai=a->i,*aj=a->j; 7 PetscInt i,nz,idx,idt,oidx; 8 const MatScalar *aa=a->a,*v; 9 PetscScalar s1,s2,s3,s4,s5,x1,x2,x3,x4,x5,*x; 10 11 PetscFunctionBegin; 12 PetscCall(VecCopy(bb,xx)); 13 PetscCall(VecGetArray(xx,&x)); 14 15 /* forward solve the U^T */ 16 idx = 0; 17 for (i=0; i<n; i++) { 18 19 v = aa + 25*diag[i]; 20 /* multiply by the inverse of the block diagonal */ 21 x1 = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; x5 = x[4+idx]; 22 s1 = v[0]*x1 + v[1]*x2 + v[2]*x3 + v[3]*x4 + v[4]*x5; 23 s2 = v[5]*x1 + v[6]*x2 + v[7]*x3 + v[8]*x4 + v[9]*x5; 24 s3 = v[10]*x1 + v[11]*x2 + v[12]*x3 + v[13]*x4 + v[14]*x5; 25 s4 = v[15]*x1 + v[16]*x2 + v[17]*x3 + v[18]*x4 + v[19]*x5; 26 s5 = v[20]*x1 + v[21]*x2 + v[22]*x3 + v[23]*x4 + v[24]*x5; 27 v += 25; 28 29 vi = aj + diag[i] + 1; 30 nz = ai[i+1] - diag[i] - 1; 31 while (nz--) { 32 oidx = 5*(*vi++); 33 x[oidx] -= v[0]*s1 + v[1]*s2 + v[2]*s3 + v[3]*s4 + v[4]*s5; 34 x[oidx+1] -= v[5]*s1 + v[6]*s2 + v[7]*s3 + v[8]*s4 + v[9]*s5; 35 x[oidx+2] -= v[10]*s1 + v[11]*s2 + v[12]*s3 + v[13]*s4 + v[14]*s5; 36 x[oidx+3] -= v[15]*s1 + v[16]*s2 + v[17]*s3 + v[18]*s4 + v[19]*s5; 37 x[oidx+4] -= v[20]*s1 + v[21]*s2 + v[22]*s3 + v[23]*s4 + v[24]*s5; 38 v += 25; 39 } 40 x[idx] = s1;x[1+idx] = s2; x[2+idx] = s3;x[3+idx] = s4; x[4+idx] = s5; 41 idx += 5; 42 } 43 /* backward solve the L^T */ 44 for (i=n-1; i>=0; i--) { 45 v = aa + 25*diag[i] - 25; 46 vi = aj + diag[i] - 1; 47 nz = diag[i] - ai[i]; 48 idt = 5*i; 49 s1 = x[idt]; s2 = x[1+idt]; s3 = x[2+idt];s4 = x[3+idt]; s5 = x[4+idt]; 50 while (nz--) { 51 idx = 5*(*vi--); 52 x[idx] -= v[0]*s1 + v[1]*s2 + v[2]*s3 + v[3]*s4 + v[4]*s5; 53 x[idx+1] -= v[5]*s1 + v[6]*s2 + v[7]*s3 + v[8]*s4 + v[9]*s5; 54 x[idx+2] -= v[10]*s1 + v[11]*s2 + v[12]*s3 + v[13]*s4 + v[14]*s5; 55 x[idx+3] -= v[15]*s1 + v[16]*s2 + v[17]*s3 + v[18]*s4 + v[19]*s5; 56 x[idx+4] -= v[20]*s1 + v[21]*s2 + v[22]*s3 + v[23]*s4 + v[24]*s5; 57 v -= 25; 58 } 59 } 60 PetscCall(VecRestoreArray(xx,&x)); 61 PetscCall(PetscLogFlops(2.0*25*(a->nz) - 5.0*A->cmap->n)); 62 PetscFunctionReturn(0); 63 } 64 65 PetscErrorCode MatSolveTranspose_SeqBAIJ_5_NaturalOrdering(Mat A,Vec bb,Vec xx) 66 { 67 Mat_SeqBAIJ *a=(Mat_SeqBAIJ*)A->data; 68 const PetscInt n=a->mbs,*vi,*ai=a->i,*aj=a->j,*diag=a->diag; 69 PetscInt nz,idx,idt,j,i,oidx; 70 const PetscInt bs =A->rmap->bs,bs2=a->bs2; 71 const MatScalar *aa=a->a,*v; 72 PetscScalar s1,s2,s3,s4,s5,x1,x2,x3,x4,x5,*x; 73 74 PetscFunctionBegin; 75 PetscCall(VecCopy(bb,xx)); 76 PetscCall(VecGetArray(xx,&x)); 77 78 /* forward solve the U^T */ 79 idx = 0; 80 for (i=0; i<n; i++) { 81 v = aa + bs2*diag[i]; 82 /* multiply by the inverse of the block diagonal */ 83 x1 = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; x4 = x[3+idx]; 84 x5 = x[4+idx]; 85 s1 = v[0]*x1 + v[1]*x2 + v[2]*x3 + v[3]*x4 + v[4]*x5; 86 s2 = v[5]*x1 + v[6]*x2 + v[7]*x3 + v[8]*x4 + v[9]*x5; 87 s3 = v[10]*x1 + v[11]*x2 + v[12]*x3 + v[13]*x4 + v[14]*x5; 88 s4 = v[15]*x1 + v[16]*x2 + v[17]*x3 + v[18]*x4 + v[19]*x5; 89 s5 = v[20]*x1 + v[21]*x2 + v[22]*x3 + v[23]*x4 + v[24]*x5; 90 v -= bs2; 91 92 vi = aj + diag[i] - 1; 93 nz = diag[i] - diag[i+1] - 1; 94 for (j=0; j>-nz; j--) { 95 oidx = bs*vi[j]; 96 x[oidx] -= v[0]*s1 + v[1]*s2 + v[2]*s3 + v[3]*s4 + v[4]*s5; 97 x[oidx+1] -= v[5]*s1 + v[6]*s2 + v[7]*s3 + v[8]*s4 + v[9]*s5; 98 x[oidx+2] -= v[10]*s1 + v[11]*s2 + v[12]*s3 + v[13]*s4 + v[14]*s5; 99 x[oidx+3] -= v[15]*s1 + v[16]*s2 + v[17]*s3 + v[18]*s4 + v[19]*s5; 100 x[oidx+4] -= v[20]*s1 + v[21]*s2 + v[22]*s3 + v[23]*s4 + v[24]*s5; 101 v -= bs2; 102 } 103 x[idx] = s1;x[1+idx] = s2; x[2+idx] = s3; x[3+idx] = s4; x[4+idx] = s5; 104 idx += bs; 105 } 106 /* backward solve the L^T */ 107 for (i=n-1; i>=0; i--) { 108 v = aa + bs2*ai[i]; 109 vi = aj + ai[i]; 110 nz = ai[i+1] - ai[i]; 111 idt = bs*i; 112 s1 = x[idt]; s2 = x[1+idt]; s3 = x[2+idt]; s4 = x[3+idt]; s5 = x[4+idt]; 113 for (j=0; j<nz; j++) { 114 idx = bs*vi[j]; 115 x[idx] -= v[0]*s1 + v[1]*s2 + v[2]*s3 + v[3]*s4 + v[4]*s5; 116 x[idx+1] -= v[5]*s1 + v[6]*s2 + v[7]*s3 + v[8]*s4 + v[9]*s5; 117 x[idx+2] -= v[10]*s1 + v[11]*s2 + v[12]*s3 + v[13]*s4 + v[14]*s5; 118 x[idx+3] -= v[15]*s1 + v[16]*s2 + v[17]*s3 + v[18]*s4 + v[19]*s5; 119 x[idx+4] -= v[20]*s1 + v[21]*s2 + v[22]*s3 + v[23]*s4 + v[24]*s5; 120 v += bs2; 121 } 122 } 123 PetscCall(VecRestoreArray(xx,&x)); 124 PetscCall(PetscLogFlops(2.0*bs2*(a->nz) - bs*A->cmap->n)); 125 PetscFunctionReturn(0); 126 } 127