1 /* ========================================================================= */
2 /* === AMD_valid =========================================================== */
3 /* ========================================================================= */
4 
5 /* ------------------------------------------------------------------------- */
6 /* AMD, Copyright (c) Timothy A. Davis,                                      */
7 /* Patrick R. Amestoy, and Iain S. Duff.  See ../README.txt for License.     */
8 /* email: davis at cise.ufl.edu    CISE Department, Univ. of Florida.        */
9 /* web: http://www.cise.ufl.edu/research/sparse/amd                          */
10 /* ------------------------------------------------------------------------- */
11 
12 /* Check if a column-form matrix is valid or not.  The matrix A is
13  * n_row-by-n_col.  The row indices of entries in column j are in
14  * Ai [Ap [j] ... Ap [j+1]-1].  Required conditions are:
15  *
16  *      n_row >= 0
17  *      n_col >= 0
18  *      nz = Ap [n_col] >= 0        number of entries in the matrix
19  *      Ap [0] == 0
20  *      Ap [j] <= Ap [j+1] for all j in the range 0 to n_col.
21  *      Ai [0 ... nz-1] must be in the range 0 to n_row-1.
22  *
23  * If any of the above conditions hold, AMD_INVALID is returned.  If the
24  * following condition holds, AMD_OK_BUT_JUMBLED is returned (a warning,
25  * not an error):
26  *
27  *      row indices in Ai [Ap [j] ... Ap [j+1]-1] are not sorted in ascending
28  *          order, and/or duplicate entries exist.
29  *
30  * Otherwise, AMD_OK is returned.
31  *
32  * In v1.2 and earlier, this function returned TRUE if the matrix was valid
33  * (now returns AMD_OK), or FALSE otherwise (now returns AMD_INVALID or
34  * AMD_OK_BUT_JUMBLED).
35  */
36 
37 #include "amd_internal.h"
38 
AMD_valid(Int n_row,Int n_col,const Int Ap[],const Int Ai[])39 GLOBAL Int AMD_valid
40 (
41     /* inputs, not modified on output: */
42     Int n_row,          /* A is n_row-by-n_col */
43     Int n_col,
44     const Int Ap [ ],   /* column pointers of A, of size n_col+1 */
45     const Int Ai [ ]    /* row indices of A, of size nz = Ap [n_col] */
46 )
47 {
48     Int nz, j, p1, p2, ilast, i, p, result = AMD_OK ;
49 
50     if (n_row < 0 || n_col < 0 || Ap == NULL || Ai == NULL)
51     {
52         return (AMD_INVALID) ;
53     }
54     nz = Ap [n_col] ;
55     if (Ap [0] != 0 || nz < 0)
56     {
57         /* column pointers must start at Ap [0] = 0, and Ap [n] must be >= 0 */
58         AMD_DEBUG0 (("column 0 pointer bad or nz < 0\n")) ;
59         return (AMD_INVALID) ;
60     }
61     for (j = 0 ; j < n_col ; j++)
62     {
63         p1 = Ap [j] ;
64         p2 = Ap [j+1] ;
65         AMD_DEBUG2 (("\nColumn: "ID" p1: "ID" p2: "ID"\n", j, p1, p2)) ;
66         if (p1 > p2)
67         {
68             /* column pointers must be ascending */
69             AMD_DEBUG0 (("column "ID" pointer bad\n", j)) ;
70             return (AMD_INVALID) ;
71         }
72         ilast = EMPTY ;
73         for (p = p1 ; p < p2 ; p++)
74         {
75             i = Ai [p] ;
76             AMD_DEBUG3 (("row: "ID"\n", i)) ;
77             if (i < 0 || i >= n_row)
78             {
79                 /* row index out of range */
80                 AMD_DEBUG0 (("index out of range, col "ID" row "ID"\n", j, i));
81                 return (AMD_INVALID) ;
82             }
83             if (i <= ilast)
84             {
85                 /* row index unsorted, or duplicate entry present */
86                 AMD_DEBUG1 (("index unsorted/dupl col "ID" row "ID"\n", j, i));
87                 result = AMD_OK_BUT_JUMBLED ;
88             }
89             ilast = i ;
90         }
91     }
92     return (result) ;
93 }
94