xref: /petsc/src/mat/impls/aij/seq/ij.c (revision ffa8c5705e8ab2cf85ee1d14dbe507a6e2eb5283)
1 
2 #include <../src/mat/impls/aij/seq/aij.h>
3 
4 /*
5   MatToSymmetricIJ_SeqAIJ - Convert a (generally nonsymmetric) sparse AIJ matrix
6            to IJ format (ignore the "A" part) Allocates the space needed. Uses only
7            the lower triangular part of the matrix.
8 
9     Description:
10     Take the data in the row-oriented sparse storage and build the
11     IJ data for the Matrix.  Return 0 on success,row + 1 on failure
12     at that row. Produces the ij for a symmetric matrix by using
13     the lower triangular part of the matrix if lower_triangular is PETSC_TRUE;
14     it uses the upper triangular otherwise.
15 
16     Input Parameters:
17 .   Matrix - matrix to convert
18 .   lower_triangular - symmetrize the lower triangular part
19 .   shiftin - the shift for the original matrix (0 or 1)
20 .   shiftout - the shift required for the ordering routine (0 or 1)
21 
22     Output Parameters:
23 .   ia     - ia part of IJ representation (row information)
24 .   ja     - ja part (column indices)
25 
26     Notes:
27     Both ia and ja may be freed with PetscFree();
28     This routine is provided for ordering routines that require a
29     symmetric structure.  It is required since those routines call
30     SparsePak routines that expect a symmetric  matrix.
31 */
32 PetscErrorCode MatToSymmetricIJ_SeqAIJ(PetscInt m,PetscInt *ai,PetscInt *aj,PetscBool lower_triangular,PetscInt shiftin,PetscInt shiftout,PetscInt **iia,PetscInt **jja)
33 {
34   PetscInt       *work,*ia,*ja,*j,i,nz,row,col;
35 
36   PetscFunctionBegin;
37   /* allocate space for row pointers */
38   PetscCall(PetscCalloc1(m+1,&ia));
39   *iia = ia;
40   PetscCall(PetscMalloc1(m+1,&work));
41 
42   /* determine the number of columns in each row */
43   ia[0] = shiftout;
44   for (row = 0; row < m; row++) {
45     nz = ai[row+1] - ai[row];
46     j  = aj + ai[row] + shiftin;
47     while (nz--) {
48       col = *j++ + shiftin;
49       if (lower_triangular) {
50         if (col > row) break;
51       } else {
52         if (col < row) break;
53       }
54       if (col != row) ia[row+1]++;
55       ia[col+1]++;
56     }
57   }
58 
59   /* shiftin ia[i] to point to next row */
60   for (i=1; i<m+1; i++) {
61     row       = ia[i-1];
62     ia[i]    += row;
63     work[i-1] = row - shiftout;
64   }
65 
66   /* allocate space for column pointers */
67   nz   = ia[m] + (!shiftin);
68   PetscCall(PetscMalloc1(nz,&ja));
69   *jja = ja;
70 
71   /* loop over lower triangular part putting into ja */
72   for (row = 0; row < m; row++) {
73     nz = ai[row+1] - ai[row];
74     j  = aj + ai[row] + shiftin;
75     while (nz--) {
76       col = *j++ + shiftin;
77       if (lower_triangular) {
78         if (col > row) break;
79       } else {
80         if (col < row) break;
81       }
82       if (col != row) ja[work[col]++] = row + shiftout;
83       ja[work[row]++] = col + shiftout;
84     }
85   }
86   PetscCall(PetscFree(work));
87   PetscFunctionReturn(0);
88 }
89