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