Actual source code: baijsolvnat6.c
1: #include <../src/mat/impls/baij/seq/baij.h>
2: #include <petsc/private/kernels/blockinvert.h>
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;
13: VecGetArrayRead(bb,&b);
14: VecGetArray(xx,&x);
15: /* forward solve the lower triangular */
16: idx = 0;
17: x[0] = b[idx]; x[1] = b[1+idx]; x[2] = b[2+idx];
18: x[3] = b[3+idx]; x[4] = b[4+idx]; x[5] = b[5+idx];
19: for (i=1; i<n; i++) {
20: v = aa + 36*ai[i];
21: vi = aj + ai[i];
22: nz = diag[i] - ai[i];
23: idx = 6*i;
24: s1 = b[idx]; s2 = b[1+idx]; s3 = b[2+idx];
25: s4 = b[3+idx]; s5 = b[4+idx]; s6 = b[5+idx];
26: while (nz--) {
27: jdx = 6*(*vi++);
28: x1 = x[jdx]; x2 = x[1+jdx]; x3 = x[2+jdx];
29: x4 = x[3+jdx]; x5 = x[4+jdx]; x6 = x[5+jdx];
30: s1 -= v[0]*x1 + v[6]*x2 + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
31: s2 -= v[1]*x1 + v[7]*x2 + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
32: s3 -= v[2]*x1 + v[8]*x2 + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
33: s4 -= v[3]*x1 + v[9]*x2 + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
34: s5 -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
35: s6 -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
36: v += 36;
37: }
38: x[idx] = s1;
39: x[1+idx] = s2;
40: x[2+idx] = s3;
41: x[3+idx] = s4;
42: x[4+idx] = s5;
43: x[5+idx] = s6;
44: }
45: /* backward solve the upper triangular */
46: for (i=n-1; i>=0; i--) {
47: v = aa + 36*diag[i] + 36;
48: vi = aj + diag[i] + 1;
49: nz = ai[i+1] - diag[i] - 1;
50: idt = 6*i;
51: s1 = x[idt]; s2 = x[1+idt];
52: s3 = x[2+idt]; s4 = x[3+idt];
53: s5 = x[4+idt]; s6 = x[5+idt];
54: while (nz--) {
55: idx = 6*(*vi++);
56: x1 = x[idx]; x2 = x[1+idx]; x3 = x[2+idx];
57: x4 = x[3+idx]; x5 = x[4+idx]; x6 = x[5+idx];
58: s1 -= v[0]*x1 + v[6]*x2 + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
59: s2 -= v[1]*x1 + v[7]*x2 + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
60: s3 -= v[2]*x1 + v[8]*x2 + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
61: s4 -= v[3]*x1 + v[9]*x2 + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
62: s5 -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
63: s6 -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
64: v += 36;
65: }
66: v = aa + 36*diag[i];
67: x[idt] = v[0]*s1 + v[6]*s2 + v[12]*s3 + v[18]*s4 + v[24]*s5 + v[30]*s6;
68: x[1+idt] = v[1]*s1 + v[7]*s2 + v[13]*s3 + v[19]*s4 + v[25]*s5 + v[31]*s6;
69: x[2+idt] = v[2]*s1 + v[8]*s2 + v[14]*s3 + v[20]*s4 + v[26]*s5 + v[32]*s6;
70: x[3+idt] = v[3]*s1 + v[9]*s2 + v[15]*s3 + v[21]*s4 + v[27]*s5 + v[33]*s6;
71: x[4+idt] = v[4]*s1 + v[10]*s2 + v[16]*s3 + v[22]*s4 + v[28]*s5 + v[34]*s6;
72: x[5+idt] = v[5]*s1 + v[11]*s2 + v[17]*s3 + v[23]*s4 + v[29]*s5 + v[35]*s6;
73: }
75: VecRestoreArrayRead(bb,&b);
76: VecRestoreArray(xx,&x);
77: PetscLogFlops(2.0*36*(a->nz) - 6.0*A->cmap->n);
78: return 0;
79: }
81: PetscErrorCode MatSolve_SeqBAIJ_6_NaturalOrdering(Mat A,Vec bb,Vec xx)
82: {
83: Mat_SeqBAIJ *a = (Mat_SeqBAIJ*)A->data;
84: const PetscInt n =a->mbs,*vi,*ai=a->i,*aj=a->j,*adiag=a->diag;
85: PetscInt i,k,nz,idx,jdx,idt;
86: const PetscInt bs = A->rmap->bs,bs2 = a->bs2;
87: const MatScalar *aa=a->a,*v;
88: PetscScalar *x;
89: const PetscScalar *b;
90: PetscScalar s1,s2,s3,s4,s5,s6,x1,x2,x3,x4,x5,x6;
92: VecGetArrayRead(bb,&b);
93: VecGetArray(xx,&x);
94: /* forward solve the lower triangular */
95: idx = 0;
96: x[0] = b[idx]; x[1] = b[1+idx];x[2] = b[2+idx];x[3] = b[3+idx];
97: x[4] = b[4+idx];x[5] = b[5+idx];
98: for (i=1; i<n; i++) {
99: v = aa + bs2*ai[i];
100: vi = aj + ai[i];
101: nz = ai[i+1] - ai[i];
102: idx = bs*i;
103: s1 = b[idx];s2 = b[1+idx];s3 = b[2+idx];s4 = b[3+idx];
104: s5 = b[4+idx];s6 = b[5+idx];
105: for (k=0; k<nz; k++) {
106: jdx = bs*vi[k];
107: x1 = x[jdx];x2 = x[1+jdx]; x3 =x[2+jdx];x4 =x[3+jdx];
108: x5 = x[4+jdx]; x6 = x[5+jdx];
109: s1 -= v[0]*x1 + v[6]*x2 + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
110: s2 -= v[1]*x1 + v[7]*x2 + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
111: s3 -= v[2]*x1 + v[8]*x2 + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
112: s4 -= v[3]*x1 + v[9]*x2 + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
113: s5 -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
114: s6 -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
115: v += bs2;
116: }
118: x[idx] = s1;
119: x[1+idx] = s2;
120: x[2+idx] = s3;
121: x[3+idx] = s4;
122: x[4+idx] = s5;
123: x[5+idx] = s6;
124: }
126: /* backward solve the upper triangular */
127: for (i=n-1; i>=0; i--) {
128: v = aa + bs2*(adiag[i+1]+1);
129: vi = aj + adiag[i+1]+1;
130: nz = adiag[i] - adiag[i+1]-1;
131: idt = bs*i;
132: s1 = x[idt]; s2 = x[1+idt];s3 = x[2+idt];s4 = x[3+idt];
133: s5 = x[4+idt];s6 = x[5+idt];
134: for (k=0; k<nz; k++) {
135: idx = bs*vi[k];
136: x1 = x[idx]; x2 = x[1+idx]; x3 = x[2+idx];x4 = x[3+idx];
137: x5 = x[4+idx];x6 = x[5+idx];
138: s1 -= v[0]*x1 + v[6]*x2 + v[12]*x3 + v[18]*x4 + v[24]*x5 + v[30]*x6;
139: s2 -= v[1]*x1 + v[7]*x2 + v[13]*x3 + v[19]*x4 + v[25]*x5 + v[31]*x6;
140: s3 -= v[2]*x1 + v[8]*x2 + v[14]*x3 + v[20]*x4 + v[26]*x5 + v[32]*x6;
141: s4 -= v[3]*x1 + v[9]*x2 + v[15]*x3 + v[21]*x4 + v[27]*x5 + v[33]*x6;
142: s5 -= v[4]*x1 + v[10]*x2 + v[16]*x3 + v[22]*x4 + v[28]*x5 + v[34]*x6;
143: s6 -= v[5]*x1 + v[11]*x2 + v[17]*x3 + v[23]*x4 + v[29]*x5 + v[35]*x6;
144: v += bs2;
145: }
146: /* x = inv_diagonal*x */
147: x[idt] = v[0]*s1 + v[6]*s2 + v[12]*s3 + v[18]*s4 + v[24]*s5 + v[30]*s6;
148: x[1+idt] = v[1]*s1 + v[7]*s2 + v[13]*s3 + v[19]*s4 + v[25]*s5 + v[31]*s6;
149: x[2+idt] = v[2]*s1 + v[8]*s2 + v[14]*s3 + v[20]*s4 + v[26]*s5 + v[32]*s6;
150: x[3+idt] = v[3]*s1 + v[9]*s2 + v[15]*s3 + v[21]*s4 + v[27]*s5 + v[33]*s6;
151: x[4+idt] = v[4]*s1 + v[10]*s2 + v[16]*s3 + v[22]*s4 + v[28]*s5 + v[34]*s6;
152: x[5+idt] = v[5]*s1 + v[11]*s2 + v[17]*s3 + v[23]*s4 + v[29]*s5 + v[35]*s6;
153: }
155: VecRestoreArrayRead(bb,&b);
156: VecRestoreArray(xx,&x);
157: PetscLogFlops(2.0*bs2*(a->nz) - bs*A->cmap->n);
158: return 0;
159: }