1 #include <../src/mat/impls/baij/seq/baij.h> 2 #include <petsc/private/kernels/blockinvert.h> 3 4 PetscErrorCode MatSolve_SeqBAIJ_6_NaturalOrdering_inplace(Mat A,Vec bb,Vec xx) 5 { 6 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data; 7 PetscInt i,nz,idx,idt,jdx; 8 PetscErrorCode ierr; 9 const PetscInt *diag = a->diag,*vi,n=a->mbs,*ai=a->i,*aj=a->j; 10 const MatScalar *aa =a->a,*v; 11 PetscScalar *x,s1,s2,s3,s4,s5,s6,x1,x2,x3,x4,x5,x6; 12 const PetscScalar *b; 13 14 PetscFunctionBegin; 15 ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr); 16 ierr = VecGetArray(xx,&x);CHKERRQ(ierr); 17 /* forward solve the lower triangular */ 18 idx = 0; 19 x[0] = b[idx]; x[1] = b[1+idx]; x[2] = b[2+idx]; 20 x[3] = b[3+idx]; x[4] = b[4+idx]; x[5] = b[5+idx]; 21 for (i=1; i<n; i++) { 22 v = aa + 36*ai[i]; 23 vi = aj + ai[i]; 24 nz = diag[i] - ai[i]; 25 idx = 6*i; 26 s1 = b[idx]; s2 = b[1+idx]; s3 = b[2+idx]; 27 s4 = b[3+idx]; s5 = b[4+idx]; s6 = b[5+idx]; 28 while (nz--) { 29 jdx = 6*(*vi++); 30 x1 = x[jdx]; x2 = x[1+jdx]; x3 = x[2+jdx]; 31 x4 = x[3+jdx]; x5 = x[4+jdx]; x6 = x[5+jdx]; 32 s1 -= v[0]*x1 + v[6]*x2 + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6; 33 s2 -= v[1]*x1 + v[7]*x2 + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6; 34 s3 -= v[2]*x1 + v[8]*x2 + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6; 35 s4 -= v[3]*x1 + v[9]*x2 + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6; 36 s5 -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6; 37 s6 -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6; 38 v += 36; 39 } 40 x[idx] = s1; 41 x[1+idx] = s2; 42 x[2+idx] = s3; 43 x[3+idx] = s4; 44 x[4+idx] = s5; 45 x[5+idx] = s6; 46 } 47 /* backward solve the upper triangular */ 48 for (i=n-1; i>=0; i--) { 49 v = aa + 36*diag[i] + 36; 50 vi = aj + diag[i] + 1; 51 nz = ai[i+1] - diag[i] - 1; 52 idt = 6*i; 53 s1 = x[idt]; s2 = x[1+idt]; 54 s3 = x[2+idt]; s4 = x[3+idt]; 55 s5 = x[4+idt]; s6 = x[5+idt]; 56 while (nz--) { 57 idx = 6*(*vi++); 58 x1 = x[idx]; x2 = x[1+idx]; x3 = x[2+idx]; 59 x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx]; 60 s1 -= v[0]*x1 + v[6]*x2 + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6; 61 s2 -= v[1]*x1 + v[7]*x2 + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6; 62 s3 -= v[2]*x1 + v[8]*x2 + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6; 63 s4 -= v[3]*x1 + v[9]*x2 + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6; 64 s5 -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6; 65 s6 -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6; 66 v += 36; 67 } 68 v = aa + 36*diag[i]; 69 x[idt] = v[0]*s1 + v[6]*s2 + v[12]*s3 + v[18]*s4 + v[24]*s5 + v[30]*s6; 70 x[1+idt] = v[1]*s1 + v[7]*s2 + v[13]*s3 + v[19]*s4 + v[25]*s5 + v[31]*s6; 71 x[2+idt] = v[2]*s1 + v[8]*s2 + v[14]*s3 + v[20]*s4 + v[26]*s5 + v[32]*s6; 72 x[3+idt] = v[3]*s1 + v[9]*s2 + v[15]*s3 + v[21]*s4 + v[27]*s5 + v[33]*s6; 73 x[4+idt] = v[4]*s1 + v[10]*s2 + v[16]*s3 + v[22]*s4 + v[28]*s5 + v[34]*s6; 74 x[5+idt] = v[5]*s1 + v[11]*s2 + v[17]*s3 + v[23]*s4 + v[29]*s5 + v[35]*s6; 75 } 76 77 ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr); 78 ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr); 79 ierr = PetscLogFlops(2.0*36*(a->nz) - 6.0*A->cmap->n);CHKERRQ(ierr); 80 PetscFunctionReturn(0); 81 } 82 83 PetscErrorCode MatSolve_SeqBAIJ_6_NaturalOrdering(Mat A,Vec bb,Vec xx) 84 { 85 Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data; 86 const PetscInt n =a->mbs,*vi,*ai=a->i,*aj=a->j,*adiag=a->diag; 87 PetscErrorCode ierr; 88 PetscInt i,k,nz,idx,jdx,idt; 89 const PetscInt bs = A->rmap->bs,bs2 = a->bs2; 90 const MatScalar *aa=a->a,*v; 91 PetscScalar *x; 92 const PetscScalar *b; 93 PetscScalar s1,s2,s3,s4,s5,s6,x1,x2,x3,x4,x5,x6; 94 95 PetscFunctionBegin; 96 ierr = VecGetArrayRead(bb,&b);CHKERRQ(ierr); 97 ierr = VecGetArray(xx,&x);CHKERRQ(ierr); 98 /* forward solve the lower triangular */ 99 idx = 0; 100 x[0] = b[idx]; x[1] = b[1+idx];x[2] = b[2+idx];x[3] = b[3+idx]; 101 x[4] = b[4+idx];x[5] = b[5+idx]; 102 for (i=1; i<n; i++) { 103 v = aa + bs2*ai[i]; 104 vi = aj + ai[i]; 105 nz = ai[i+1] - ai[i]; 106 idx = bs*i; 107 s1 = b[idx];s2 = b[1+idx];s3 = b[2+idx];s4 = b[3+idx]; 108 s5 = b[4+idx];s6 = b[5+idx]; 109 for (k=0; k<nz; k++) { 110 jdx = bs*vi[k]; 111 x1 = x[jdx];x2 = x[1+jdx]; x3 =x[2+jdx];x4 =x[3+jdx]; 112 x5 = x[4+jdx]; x6 = x[5+jdx]; 113 s1 -= v[0]*x1 + v[6]*x2 + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6; 114 s2 -= v[1]*x1 + v[7]*x2 + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6; 115 s3 -= v[2]*x1 + v[8]*x2 + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6; 116 s4 -= v[3]*x1 + v[9]*x2 + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6; 117 s5 -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6; 118 s6 -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6; 119 v += bs2; 120 } 121 122 x[idx] = s1; 123 x[1+idx] = s2; 124 x[2+idx] = s3; 125 x[3+idx] = s4; 126 x[4+idx] = s5; 127 x[5+idx] = s6; 128 } 129 130 /* backward solve the upper triangular */ 131 for (i=n-1; i>=0; i--) { 132 v = aa + bs2*(adiag[i+1]+1); 133 vi = aj + adiag[i+1]+1; 134 nz = adiag[i] - adiag[i+1]-1; 135 idt = bs*i; 136 s1 = x[idt]; s2 = x[1+idt];s3 = x[2+idt];s4 = x[3+idt]; 137 s5 = x[4+idt];s6 = x[5+idt]; 138 for (k=0; k<nz; k++) { 139 idx = bs*vi[k]; 140 x1 = x[idx]; x2 = x[1+idx]; x3 = x[2+idx];x4 = x[3+idx]; 141 x5 = x[4+idx];x6 = x[5+idx]; 142 s1 -= v[0]*x1 + v[6]*x2 + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6; 143 s2 -= v[1]*x1 + v[7]*x2 + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6; 144 s3 -= v[2]*x1 + v[8]*x2 + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6; 145 s4 -= v[3]*x1 + v[9]*x2 + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6; 146 s5 -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6; 147 s6 -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6; 148 v += bs2; 149 } 150 /* x = inv_diagonal*x */ 151 x[idt] = v[0]*s1 + v[6]*s2 + v[12]*s3 + v[18]*s4 + v[24]*s5 + v[30]*s6; 152 x[1+idt] = v[1]*s1 + v[7]*s2 + v[13]*s3 + v[19]*s4 + v[25]*s5 + v[31]*s6; 153 x[2+idt] = v[2]*s1 + v[8]*s2 + v[14]*s3 + v[20]*s4 + v[26]*s5 + v[32]*s6; 154 x[3+idt] = v[3]*s1 + v[9]*s2 + v[15]*s3 + v[21]*s4 + v[27]*s5 + v[33]*s6; 155 x[4+idt] = v[4]*s1 + v[10]*s2 + v[16]*s3 + v[22]*s4 + v[28]*s5 + v[34]*s6; 156 x[5+idt] = v[5]*s1 + v[11]*s2 + v[17]*s3 + v[23]*s4 + v[29]*s5 + v[35]*s6; 157 } 158 159 ierr = VecRestoreArrayRead(bb,&b);CHKERRQ(ierr); 160 ierr = VecRestoreArray(xx,&x);CHKERRQ(ierr); 161 ierr = PetscLogFlops(2.0*bs2*(a->nz) - bs*A->cmap->n);CHKERRQ(ierr); 162 PetscFunctionReturn(0); 163 } 164