int main (void) { /* ====================================================================== */ /* input matrix A definition */ /* ====================================================================== */ int A [ALEN] = { 0, 1, 4, /* row indices of nonzeros in column 0 */ 2, 4, /* row indices of nonzeros in column 1 */ 0, 1, 2, 3, /* row indices of nonzeros in column 2 */ 1, 3} ; /* row indices of nonzeros in column 3 */ int p [ ] = { 0, /* column 0 is in A [0..2] */ 3, /* column 1 is in A [3..4] */ 5, /* column 2 is in A [5..8] */ 9, /* column 3 is in A [9..10] */ A_NNZ} ; /* number of nonzeros in A */ /* ====================================================================== */ /* input matrix B definition */ /* ====================================================================== */ int B [ ] = { /* Note: only strictly lower triangular part */ /* is included, since symamd ignores the */ /* diagonal and upper triangular part of B. */ 1, /* row indices of nonzeros in column 0 */ 2, 3, /* row indices of nonzeros in column 1 */ /* row indices of nonzeros in column 2 (none) */ 4 /* row indices of nonzeros in column 3 */ } ; /* row indices of nonzeros in column 4 (none) */ int q [ ] = { 0, /* column 0 is in B [0] */ 1, /* column 1 is in B [1..2] */ 3, /* column 2 is empty */ 3, /* column 3 is in B [3] */ 4, /* column 4 is empty */ B_NNZ} ; /* number of nonzeros in strictly lower B */ /* ====================================================================== */ /* other variable definitions */ /* ====================================================================== */ int perm [B_N+1] ; /* note the size is N+1 */ int stats [CCOLAMD_STATS] ; /* for ccolamd and csymamd output statistics */ int row, col, pp, length, ok ; /* ====================================================================== */ /* dump the input matrix A */ /* ====================================================================== */ printf ("ccolamd %d-by-%d input matrix:\n", A_NROW, A_NCOL) ; for (col = 0 ; col < A_NCOL ; col++) { length = p [col+1] - p [col] ; printf ("Column %d, with %d entries:\n", col, length) ; for (pp = p [col] ; pp < p [col+1] ; pp++) { row = A [pp] ; printf (" row %d\n", row) ; } } /* ====================================================================== */ /* order the matrix. Note that this destroys A and overwrites p */ /* ====================================================================== */ ok = ccolamd (A_NROW, A_NCOL, ALEN, A, p, (double *) NULL, stats, NULL) ; ccolamd_report (stats) ; if (!ok) { printf ("ccolamd error!\n") ; exit (1) ; } /* ====================================================================== */ /* print the column ordering */ /* ====================================================================== */ printf ("ccolamd column ordering:\n") ; printf ("1st column: %d\n", p [0]) ; printf ("2nd column: %d\n", p [1]) ; printf ("3rd column: %d\n", p [2]) ; printf ("4th column: %d\n", p [3]) ; /* ====================================================================== */ /* dump the strictly lower triangular part of symmetric input matrix B */ /* ====================================================================== */ printf ("\n\ncsymamd %d-by-%d input matrix:\n", B_N, B_N) ; printf ("Entries in strictly lower triangular part:\n") ; for (col = 0 ; col < B_N ; col++) { length = q [col+1] - q [col] ; printf ("Column %d, with %d entries:\n", col, length) ; for (pp = q [col] ; pp < q [col+1] ; pp++) { row = B [pp] ; printf (" row %d\n", row) ; } } /* ====================================================================== */ /* order the matrix B. Note that this does not modify B or q. */ /* ====================================================================== */ ok = csymamd (B_N, B, q, perm, (double *) NULL, stats, &calloc, &free, NULL, -1) ; csymamd_report (stats) ; if (!ok) { printf ("csymamd error!\n") ; exit (1) ; } /* ====================================================================== */ /* print the symmetric ordering */ /* ====================================================================== */ printf ("csymamd column ordering:\n") ; printf ("1st row/column: %d\n", perm [0]) ; printf ("2nd row/column: %d\n", perm [1]) ; printf ("3rd row/column: %d\n", perm [2]) ; printf ("4th row/column: %d\n", perm [3]) ; printf ("5th row/column: %d\n", perm [4]) ; return (0) ; }
int CHOLMOD(csymamd) ( /* ---- input ---- */ cholmod_sparse *A, /* matrix to order */ /* ---- output --- */ Int *Cmember, /* size nrow. see cholmod_ccolamd.c for description */ Int *Perm, /* size A->nrow, output permutation */ /* --------------- */ cholmod_common *Common ) { double knobs [CCOLAMD_KNOBS] ; Int *perm, *Head ; Int ok, i, nrow, stats [CCOLAMD_STATS] ; /* ---------------------------------------------------------------------- */ /* check inputs */ /* ---------------------------------------------------------------------- */ RETURN_IF_NULL_COMMON (FALSE) ; RETURN_IF_NULL (A, FALSE) ; RETURN_IF_NULL (Perm, FALSE) ; RETURN_IF_XTYPE_INVALID (A, CHOLMOD_PATTERN, CHOLMOD_ZOMPLEX, FALSE) ; Common->status = CHOLMOD_OK ; if (A->nrow != A->ncol || !(A->packed)) { ERROR (CHOLMOD_INVALID, "matrix must be square and packed") ; return (FALSE) ; } /* ---------------------------------------------------------------------- */ /* get inputs */ /* ---------------------------------------------------------------------- */ nrow = A->nrow ; /* ---------------------------------------------------------------------- */ /* allocate workspace */ /* ---------------------------------------------------------------------- */ CHOLMOD(allocate_work) (nrow, 0, 0, Common) ; if (Common->status < CHOLMOD_OK) { return (FALSE) ; } /* ---------------------------------------------------------------------- */ /* order the matrix (does not affect A->p or A->i) */ /* ---------------------------------------------------------------------- */ perm = Common->Head ; /* size nrow+1 (i/l/l) */ /* get parameters */ #ifdef LONG ccolamd_l_set_defaults (knobs) ; #else ccolamd_set_defaults (knobs) ; #endif if (Common->current >= 0 && Common->current < CHOLMOD_MAXMETHODS) { /* get the knobs from the Common parameters */ knobs [CCOLAMD_DENSE_ROW] =Common->method[Common->current].prune_dense ; knobs [CCOLAMD_AGGRESSIVE]=Common->method[Common->current].aggressive ; } { #ifdef LONG csymamd_l (nrow, A->i, A->p, perm, knobs, stats, Common->calloc_memory, Common->free_memory, Cmember, A->stype) ; #else csymamd (nrow, A->i, A->p, perm, knobs, stats, Common->calloc_memory, Common->free_memory, Cmember, A->stype) ; #endif ok = stats [CCOLAMD_STATUS] ; } if (ok == CCOLAMD_ERROR_out_of_memory) { ERROR (CHOLMOD_OUT_OF_MEMORY, "out of memory") ; } ok = (ok == CCOLAMD_OK || ok == CCOLAMD_OK_BUT_JUMBLED) ; /* ---------------------------------------------------------------------- */ /* free the workspace and return result */ /* ---------------------------------------------------------------------- */ /* permutation returned in perm [0..n-1] */ for (i = 0 ; i < nrow ; i++) { Perm [i] = perm [i] ; } /* clear Head workspace (used for perm, in csymamd): */ Head = Common->Head ; for (i = 0 ; i <= nrow ; i++) { Head [i] = EMPTY ; } return (ok) ; }