int main (int argc, char **argv)
{
double Info [UMFPACK_INFO], Control [UMFPACK_CONTROL], *Ax, *Cx, *Lx, *Ux,
*W, t [2], *Dx, rnorm, *Rb, *y, *Rs ;
double *Az, *Lz, *Uz, *Dz, *Cz, *Rbz, *yz ;
SuiteSparse_long *Ap, *Ai, *Cp, *Ci, row, col, p, lnz, unz, nr, nc, *Lp, *Li, *Ui, *Up,
*P, *Q, *Lj, i, j, k, anz, nfr, nchains, *Qinit, fnpiv, lnz1, unz1, nz1,
status, *Front_npivcol, *Front_parent, *Chain_start, *Wi, *Pinit, n1,
*Chain_maxrows, *Chain_maxcols, *Front_1strow, *Front_leftmostdesc,
nzud, do_recip ;
void *Symbolic, *Numeric ;
/* ---------------------------------------------------------------------- */
/* initializations */
/* ---------------------------------------------------------------------- */
umfpack_tic (t) ;
printf ("\nUMFPACK V%d.%d (%s) demo: _zl_ version\n",
UMFPACK_MAIN_VERSION, UMFPACK_SUB_VERSION, UMFPACK_DATE) ;
/* get the default control parameters */
umfpack_zl_defaults (Control) ;
/* change the default print level for this demo */
/* (otherwise, nothing will print) */
Control [UMFPACK_PRL] = 6 ;
/* print the license agreement */
umfpack_zl_report_status (Control, UMFPACK_OK) ;
Control [UMFPACK_PRL] = 5 ;
/* print the control parameters */
umfpack_zl_report_control (Control) ;
/* ---------------------------------------------------------------------- */
/* print A and b, and convert A to column-form */
/* ---------------------------------------------------------------------- */
/* print the right-hand-side */
printf ("\nb: ") ;
(void) umfpack_zl_report_vector (n, b, bz, Control) ;
/* print the triplet form of the matrix */
printf ("\nA: ") ;
(void) umfpack_zl_report_triplet (n, n, nz, Arow, Acol, Aval, Avalz,
Control) ;
/* convert to column form */
nz1 = MAX (nz,1) ; /* ensure arrays are not of size zero. */
Ap = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Ai = (SuiteSparse_long *) malloc (nz1 * sizeof (SuiteSparse_long)) ;
Ax = (double *) malloc (nz1 * sizeof (double)) ;
Az = (double *) malloc (nz1 * sizeof (double)) ;
if (!Ap || !Ai || !Ax || !Az)
{
error ("out of memory") ;
}
status = umfpack_zl_triplet_to_col (n, n, nz, Arow, Acol, Aval, Avalz,
Ap, Ai, Ax, Az, (SuiteSparse_long *) NULL) ;
if (status < 0)
{
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_triplet_to_col failed") ;
}
/* print the column-form of A */
printf ("\nA: ") ;
(void) umfpack_zl_report_matrix (n, n, Ap, Ai, Ax, Az, 1, Control) ;
/* ---------------------------------------------------------------------- */
/* symbolic factorization */
/* ---------------------------------------------------------------------- */
status = umfpack_zl_symbolic (n, n, Ap, Ai, Ax, Az, &Symbolic,
Control, Info) ;
if (status < 0)
{
umfpack_zl_report_info (Control, Info) ;
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_symbolic failed") ;
}
/* print the symbolic factorization */
printf ("\nSymbolic factorization of A: ") ;
(void) umfpack_zl_report_symbolic (Symbolic, Control) ;
/* ---------------------------------------------------------------------- */
/* numeric factorization */
/* ---------------------------------------------------------------------- */
status = umfpack_zl_numeric (Ap, Ai, Ax, Az, Symbolic, &Numeric,
Control, Info) ;
if (status < 0)
{
umfpack_zl_report_info (Control, Info) ;
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_numeric failed") ;
}
/* print the numeric factorization */
printf ("\nNumeric factorization of A: ") ;
(void) umfpack_zl_report_numeric (Numeric, Control) ;
/* ---------------------------------------------------------------------- */
/* solve Ax=b */
/* ---------------------------------------------------------------------- */
status = umfpack_zl_solve (UMFPACK_A, Ap, Ai, Ax, Az, x, xz, b, bz,
Numeric, Control, Info) ;
umfpack_zl_report_info (Control, Info) ;
umfpack_zl_report_status (Control, status) ;
if (status < 0)
{
error ("umfpack_zl_solve failed") ;
}
printf ("\nx (solution of Ax=b): ") ;
(void) umfpack_zl_report_vector (n, x, xz, Control) ;
rnorm = resid (FALSE, Ap, Ai, Ax, Az) ;
printf ("maxnorm of residual: %g\n\n", rnorm) ;
/* ---------------------------------------------------------------------- */
/* compute the determinant */
/* ---------------------------------------------------------------------- */
status = umfpack_zl_get_determinant (x, xz, r, Numeric, Info) ;
umfpack_zl_report_status (Control, status) ;
if (status < 0)
{
error ("umfpack_zl_get_determinant failed") ;
}
printf ("determinant: (%g", x [0]) ;
printf ("+ (%g)i", xz [0]) ; /* complex */
printf (") * 10^(%g)\n", r [0]) ;
/* ---------------------------------------------------------------------- */
/* solve Ax=b, broken down into steps */
/* ---------------------------------------------------------------------- */
/* Rb = R*b */
Rb = (double *) malloc (n * sizeof (double)) ;
Rbz = (double *) malloc (n * sizeof (double)) ;
y = (double *) malloc (n * sizeof (double)) ;
yz = (double *) malloc (n * sizeof (double)) ;
if (!Rb || !y) error ("out of memory") ;
if (!Rbz || !yz) error ("out of memory") ;
status = umfpack_zl_scale (Rb, Rbz, b, bz, Numeric) ;
if (status < 0) error ("umfpack_zl_scale failed") ;
/* solve Ly = P*(Rb) */
status = umfpack_zl_solve (UMFPACK_Pt_L, Ap, Ai, Ax, Az, y, yz, Rb, Rbz,
Numeric, Control, Info) ;
if (status < 0) error ("umfpack_zl_solve failed") ;
/* solve UQ'x=y */
status = umfpack_zl_solve (UMFPACK_U_Qt, Ap, Ai, Ax, Az, x, xz, y, yz,
Numeric, Control, Info) ;
if (status < 0) error ("umfpack_zl_solve failed") ;
printf ("\nx (solution of Ax=b, solve is split into 3 steps): ") ;
(void) umfpack_zl_report_vector (n, x, xz, Control) ;
rnorm = resid (FALSE, Ap, Ai, Ax, Az) ;
printf ("maxnorm of residual: %g\n\n", rnorm) ;
free (Rb) ;
free (Rbz) ;
free (y) ;
free (yz) ;
/* ---------------------------------------------------------------------- */
/* solve A'x=b */
/* ---------------------------------------------------------------------- */
/* note that this is the complex conjugate transpose, A' */
status = umfpack_zl_solve (UMFPACK_At, Ap, Ai, Ax, Az, x, xz, b, bz,
Numeric, Control, Info) ;
umfpack_zl_report_info (Control, Info) ;
if (status < 0)
{
error ("umfpack_zl_solve failed") ;
}
printf ("\nx (solution of A'x=b): ") ;
(void) umfpack_zl_report_vector (n, x, xz, Control) ;
rnorm = resid (TRUE, Ap, Ai, Ax, Az) ;
printf ("maxnorm of residual: %g\n\n", rnorm) ;
/* ---------------------------------------------------------------------- */
/* modify one numerical value in the column-form of A */
/* ---------------------------------------------------------------------- */
/* change A (1,4), look for row 1 in column 4. */
row = 1 ;
col = 4 ;
for (p = Ap [col] ; p < Ap [col+1] ; p++)
{
if (row == Ai [p])
{
printf ("\nchanging A (%ld,%ld) to zero\n", row, col) ;
Ax [p] = 0.0 ;
Az [p] = 0.0 ;
break ;
}
}
printf ("\nmodified A: ") ;
(void) umfpack_zl_report_matrix (n, n, Ap, Ai, Ax, Az, 1, Control) ;
/* ---------------------------------------------------------------------- */
/* redo the numeric factorization */
/* ---------------------------------------------------------------------- */
/* The pattern (Ap and Ai) hasn't changed, so the symbolic factorization */
/* doesn't have to be redone, no matter how much we change Ax. */
/* We don't need the Numeric object any more, so free it. */
umfpack_zl_free_numeric (&Numeric) ;
/* Note that a memory leak would have occurred if the old Numeric */
/* had not been free'd with umfpack_zl_free_numeric above. */
status = umfpack_zl_numeric (Ap, Ai, Ax, Az, Symbolic, &Numeric,
Control, Info) ;
if (status < 0)
{
umfpack_zl_report_info (Control, Info) ;
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_numeric failed") ;
}
printf ("\nNumeric factorization of modified A: ") ;
(void) umfpack_zl_report_numeric (Numeric, Control) ;
/* ---------------------------------------------------------------------- */
/* solve Ax=b, with the modified A */
/* ---------------------------------------------------------------------- */
status = umfpack_zl_solve (UMFPACK_A, Ap, Ai, Ax, Az, x, xz, b, bz,
Numeric, Control, Info) ;
umfpack_zl_report_info (Control, Info) ;
if (status < 0)
{
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_solve failed") ;
}
printf ("\nx (with modified A): ") ;
(void) umfpack_zl_report_vector (n, x, xz, Control) ;
rnorm = resid (FALSE, Ap, Ai, Ax, Az) ;
printf ("maxnorm of residual: %g\n\n", rnorm) ;
/* ---------------------------------------------------------------------- */
/* modify all of the numerical values of A, but not the pattern */
/* ---------------------------------------------------------------------- */
for (col = 0 ; col < n ; col++)
{
for (p = Ap [col] ; p < Ap [col+1] ; p++)
{
row = Ai [p] ;
printf ("changing ") ;
/* complex: */ printf ("real part of ") ;
printf ("A (%ld,%ld) from %g", row, col, Ax [p]) ;
Ax [p] = Ax [p] + col*10 - row ;
printf (" to %g\n", Ax [p]) ;
}
}
printf ("\ncompletely modified A (same pattern): ") ;
(void) umfpack_zl_report_matrix (n, n, Ap, Ai, Ax, Az, 1, Control) ;
/* ---------------------------------------------------------------------- */
/* save the Symbolic object to file, free it, and load it back in */
/* ---------------------------------------------------------------------- */
/* use the default filename, "symbolic.umf" */
printf ("\nSaving symbolic object:\n") ;
status = umfpack_zl_save_symbolic (Symbolic, (char *) NULL) ;
if (status < 0)
{
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_save_symbolic failed") ;
}
printf ("\nFreeing symbolic object:\n") ;
umfpack_zl_free_symbolic (&Symbolic) ;
printf ("\nLoading symbolic object:\n") ;
status = umfpack_zl_load_symbolic (&Symbolic, (char *) NULL) ;
if (status < 0)
{
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_load_symbolic failed") ;
}
printf ("\nDone loading symbolic object\n") ;
/* ---------------------------------------------------------------------- */
/* redo the numeric factorization */
/* ---------------------------------------------------------------------- */
umfpack_zl_free_numeric (&Numeric) ;
status = umfpack_zl_numeric (Ap, Ai, Ax, Az, Symbolic, &Numeric,
Control, Info) ;
if (status < 0)
{
umfpack_zl_report_info (Control, Info) ;
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_numeric failed") ;
}
printf ("\nNumeric factorization of completely modified A: ") ;
(void) umfpack_zl_report_numeric (Numeric, Control) ;
/* ---------------------------------------------------------------------- */
/* solve Ax=b, with the modified A */
/* ---------------------------------------------------------------------- */
status = umfpack_zl_solve (UMFPACK_A, Ap, Ai, Ax, Az, x, xz, b, bz,
Numeric, Control, Info) ;
umfpack_zl_report_info (Control, Info) ;
if (status < 0)
{
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_solve failed") ;
}
printf ("\nx (with completely modified A): ") ;
(void) umfpack_zl_report_vector (n, x, xz, Control) ;
rnorm = resid (FALSE, Ap, Ai, Ax, Az) ;
printf ("maxnorm of residual: %g\n\n", rnorm) ;
/* ---------------------------------------------------------------------- */
/* free the symbolic and numeric factorization */
/* ---------------------------------------------------------------------- */
umfpack_zl_free_symbolic (&Symbolic) ;
umfpack_zl_free_numeric (&Numeric) ;
/* ---------------------------------------------------------------------- */
/* C = transpose of A */
/* ---------------------------------------------------------------------- */
Cp = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Ci = (SuiteSparse_long *) malloc (nz1 * sizeof (SuiteSparse_long)) ;
Cx = (double *) malloc (nz1 * sizeof (double)) ;
Cz = (double *) malloc (nz1 * sizeof (double)) ;
if (!Cp || !Ci || !Cx || !Cz)
{
error ("out of memory") ;
}
status = umfpack_zl_transpose (n, n, Ap, Ai, Ax, Az,
(SuiteSparse_long *) NULL, (SuiteSparse_long *) NULL, Cp, Ci, Cx, Cz, TRUE) ;
if (status < 0)
{
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_transpose failed: ") ;
}
printf ("\nC (transpose of A): ") ;
(void) umfpack_zl_report_matrix (n, n, Cp, Ci, Cx, Cz, 1, Control) ;
/* ---------------------------------------------------------------------- */
/* symbolic factorization of C */
/* ---------------------------------------------------------------------- */
status = umfpack_zl_symbolic (n, n, Cp, Ci, Cx, Cz, &Symbolic,
Control, Info) ;
if (status < 0)
{
umfpack_zl_report_info (Control, Info) ;
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_symbolic failed") ;
}
printf ("\nSymbolic factorization of C: ") ;
(void) umfpack_zl_report_symbolic (Symbolic, Control) ;
/* ---------------------------------------------------------------------- */
/* copy the contents of Symbolic into user arrays print them */
/* ---------------------------------------------------------------------- */
printf ("\nGet the contents of the Symbolic object for C:\n") ;
printf ("(compare with umfpack_zl_report_symbolic output, above)\n") ;
Pinit = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Qinit = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Front_npivcol = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Front_1strow = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Front_leftmostdesc = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Front_parent = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Chain_start = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Chain_maxrows = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Chain_maxcols = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
if (!Pinit || !Qinit || !Front_npivcol || !Front_parent || !Chain_start ||
!Chain_maxrows || !Chain_maxcols || !Front_1strow ||
!Front_leftmostdesc)
{
error ("out of memory") ;
}
status = umfpack_zl_get_symbolic (&nr, &nc, &n1, &anz, &nfr, &nchains,
Pinit, Qinit, Front_npivcol, Front_parent, Front_1strow,
Front_leftmostdesc, Chain_start, Chain_maxrows, Chain_maxcols,
Symbolic) ;
if (status < 0)
{
error ("symbolic factorization invalid") ;
}
printf ("From the Symbolic object, C is of dimension %ld-by-%ld\n", nr, nc);
printf (" with nz = %ld, number of fronts = %ld,\n", nz, nfr) ;
printf (" number of frontal matrix chains = %ld\n", nchains) ;
printf ("\nPivot columns in each front, and parent of each front:\n") ;
k = 0 ;
for (i = 0 ; i < nfr ; i++)
{
fnpiv = Front_npivcol [i] ;
printf (" Front %ld: parent front: %ld number of pivot cols: %ld\n",
i, Front_parent [i], fnpiv) ;
for (j = 0 ; j < fnpiv ; j++)
{
col = Qinit [k] ;
printf (
" %ld-th pivot column is column %ld in original matrix\n",
k, col) ;
k++ ;
}
}
printf ("\nNote that the column ordering, above, will be refined\n") ;
printf ("in the numeric factorization below. The assignment of pivot\n") ;
printf ("columns to frontal matrices will always remain unchanged.\n") ;
printf ("\nTotal number of pivot columns in frontal matrices: %ld\n", k) ;
printf ("\nFrontal matrix chains:\n") ;
for (j = 0 ; j < nchains ; j++)
{
printf (" Frontal matrices %ld to %ld are factorized in a single\n",
Chain_start [j], Chain_start [j+1] - 1) ;
printf (" working array of size %ld-by-%ld\n",
Chain_maxrows [j], Chain_maxcols [j]) ;
}
/* ---------------------------------------------------------------------- */
/* numeric factorization of C */
/* ---------------------------------------------------------------------- */
status = umfpack_zl_numeric (Cp, Ci, Cx, Cz, Symbolic, &Numeric,
Control, Info) ;
if (status < 0)
{
error ("umfpack_zl_numeric failed") ;
}
printf ("\nNumeric factorization of C: ") ;
(void) umfpack_zl_report_numeric (Numeric, Control) ;
/* ---------------------------------------------------------------------- */
/* extract the LU factors of C and print them */
/* ---------------------------------------------------------------------- */
if (umfpack_zl_get_lunz (&lnz, &unz, &nr, &nc, &nzud, Numeric) < 0)
{
error ("umfpack_zl_get_lunz failed") ;
}
/* ensure arrays are not of zero size */
lnz1 = MAX (lnz,1) ;
unz1 = MAX (unz,1) ;
Lp = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Lj = (SuiteSparse_long *) malloc (lnz1 * sizeof (SuiteSparse_long)) ;
Lx = (double *) malloc (lnz1 * sizeof (double)) ;
Lz = (double *) malloc (lnz1 * sizeof (double)) ;
Up = (SuiteSparse_long *) malloc ((n+1) * sizeof (SuiteSparse_long)) ;
Ui = (SuiteSparse_long *) malloc (unz1 * sizeof (SuiteSparse_long)) ;
Ux = (double *) malloc (unz1 * sizeof (double)) ;
Uz = (double *) malloc (unz1 * sizeof (double)) ;
P = (SuiteSparse_long *) malloc (n * sizeof (SuiteSparse_long)) ;
Q = (SuiteSparse_long *) malloc (n * sizeof (SuiteSparse_long)) ;
Dx = (double *) NULL ; /* D vector not requested */
Dz = (double *) NULL ;
Rs = (double *) malloc (n * sizeof (double)) ;
if (!Lp || !Lj || !Lx || !Lz || !Up || !Ui || !Ux || !Uz || !P || !Q || !Rs)
{
error ("out of memory") ;
}
status = umfpack_zl_get_numeric (Lp, Lj, Lx, Lz, Up, Ui, Ux, Uz,
P, Q, Dx, Dz, &do_recip, Rs, Numeric) ;
if (status < 0)
{
error ("umfpack_zl_get_numeric failed") ;
}
printf ("\nL (lower triangular factor of C): ") ;
(void) umfpack_zl_report_matrix (n, n, Lp, Lj, Lx, Lz, 0, Control) ;
printf ("\nU (upper triangular factor of C): ") ;
(void) umfpack_zl_report_matrix (n, n, Up, Ui, Ux, Uz, 1, Control) ;
printf ("\nP: ") ;
(void) umfpack_zl_report_perm (n, P, Control) ;
printf ("\nQ: ") ;
(void) umfpack_zl_report_perm (n, Q, Control) ;
printf ("\nScale factors: row i of A is to be ") ;
if (do_recip)
{
printf ("multiplied by the ith scale factor\n") ;
}
else
{
printf ("divided by the ith scale factor\n") ;
}
for (i = 0 ; i < n ; i++) printf ("%ld: %g\n", i, Rs [i]) ;
/* ---------------------------------------------------------------------- */
/* convert L to triplet form and print it */
/* ---------------------------------------------------------------------- */
/* Note that L is in row-form, so it is the row indices that are created */
/* by umfpack_zl_col_to_triplet. */
printf ("\nConverting L to triplet form, and printing it:\n") ;
Li = (SuiteSparse_long *) malloc (lnz1 * sizeof (SuiteSparse_long)) ;
if (!Li)
{
error ("out of memory") ;
}
if (umfpack_zl_col_to_triplet (n, Lp, Li) < 0)
{
error ("umfpack_zl_col_to_triplet failed") ;
}
printf ("\nL, in triplet form: ") ;
(void) umfpack_zl_report_triplet (n, n, lnz, Li, Lj, Lx, Lz, Control) ;
/* ---------------------------------------------------------------------- */
/* save the Numeric object to file, free it, and load it back in */
/* ---------------------------------------------------------------------- */
/* use the default filename, "numeric.umf" */
printf ("\nSaving numeric object:\n") ;
status = umfpack_zl_save_numeric (Numeric, (char *) NULL) ;
if (status < 0)
{
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_save_numeric failed") ;
}
printf ("\nFreeing numeric object:\n") ;
umfpack_zl_free_numeric (&Numeric) ;
printf ("\nLoading numeric object:\n") ;
status = umfpack_zl_load_numeric (&Numeric, (char *) NULL) ;
if (status < 0)
{
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_load_numeric failed") ;
}
printf ("\nDone loading numeric object\n") ;
/* ---------------------------------------------------------------------- */
/* solve C'x=b */
/* ---------------------------------------------------------------------- */
status = umfpack_zl_solve (UMFPACK_At, Cp, Ci, Cx, Cz, x, xz, b, bz,
Numeric, Control, Info) ;
umfpack_zl_report_info (Control, Info) ;
if (status < 0)
{
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_solve failed") ;
}
printf ("\nx (solution of C'x=b): ") ;
(void) umfpack_zl_report_vector (n, x, xz, Control) ;
rnorm = resid (TRUE, Cp, Ci, Cx, Cz) ;
printf ("maxnorm of residual: %g\n\n", rnorm) ;
/* ---------------------------------------------------------------------- */
/* solve C'x=b again, using umfpack_zl_wsolve instead */
/* ---------------------------------------------------------------------- */
printf ("\nSolving C'x=b again, using umfpack_zl_wsolve instead:\n") ;
Wi = (SuiteSparse_long *) malloc (n * sizeof (SuiteSparse_long)) ;
W = (double *) malloc (10*n * sizeof (double)) ;
if (!Wi || !W)
{
error ("out of memory") ;
}
status = umfpack_zl_wsolve (UMFPACK_At, Cp, Ci, Cx, Cz, x, xz, b, bz,
Numeric, Control, Info, Wi, W) ;
umfpack_zl_report_info (Control, Info) ;
if (status < 0)
{
umfpack_zl_report_status (Control, status) ;
error ("umfpack_zl_wsolve failed") ;
}
printf ("\nx (solution of C'x=b): ") ;
(void) umfpack_zl_report_vector (n, x, xz, Control) ;
rnorm = resid (TRUE, Cp, Ci, Cx, Cz) ;
printf ("maxnorm of residual: %g\n\n", rnorm) ;
/* ---------------------------------------------------------------------- */
/* free everything */
/* ---------------------------------------------------------------------- */
/* This is not strictly required since the process is exiting and the */
/* system will reclaim the memory anyway. It's useful, though, just as */
/* a list of what is currently malloc'ed by this program. Plus, it's */
/* always a good habit to explicitly free whatever you malloc. */
free (Ap) ;
free (Ai) ;
free (Ax) ;
free (Az) ;
free (Cp) ;
free (Ci) ;
free (Cx) ;
free (Cz) ;
free (Pinit) ;
free (Qinit) ;
free (Front_npivcol) ;
free (Front_1strow) ;
free (Front_leftmostdesc) ;
free (Front_parent) ;
free (Chain_start) ;
free (Chain_maxrows) ;
free (Chain_maxcols) ;
free (Lp) ;
free (Lj) ;
free (Lx) ;
free (Lz) ;
free (Up) ;
free (Ui) ;
free (Ux) ;
free (Uz) ;
free (P) ;
free (Q) ;
free (Li) ;
free (Wi) ;
free (W) ;
umfpack_zl_free_symbolic (&Symbolic) ;
umfpack_zl_free_numeric (&Numeric) ;
/* ---------------------------------------------------------------------- */
/* print the total time spent in this demo */
/* ---------------------------------------------------------------------- */
umfpack_toc (t) ;
printf ("\numfpack_zl_demo complete.\nTotal time: %5.2f seconds"
" (CPU time), %5.2f seconds (wallclock time)\n", t [1], t [0]) ;
return (0) ;
}
/* -----------------------------------------------------------------------------------
* Solve: M x = b
*
*/
int
gsl_sparse_matrix_complex_LU_solve(gsl_sparse_matrix_complex *spmat, double *b_real, double *b_imag, double *x_real, double *x_imag)
{
void *Symbolic, *Numeric;
int status;
//gsl_sparse_matrix_complex_print_col(spmat);
/* --- symbolic factorization --- */
status = umfpack_zl_symbolic(spmat->n, spmat->n, spmat->Ap, spmat->Ai, spmat->Ax, spmat->Az, &Symbolic, spmat->Control, spmat->Info);
if (status < 0)
{
umfpack_zl_report_info(spmat->Control, spmat->Info);
//umfpack_zl_report_status(spmat->Control, status);
fprintf(stderr, "%s: umfpack_zl_symbolic failed\n", __PRETTY_FUNCTION__);
return -1;
}
//printf("%s: Symbolic factorization of A: ", __PRETTY_FUNCTION__);
//umfpack_zl_report_symbolic(Symbolic, spmat->Control);
/* --- numeric factorization --- */
status = umfpack_zl_numeric(spmat->Ap, spmat->Ai, spmat->Ax, spmat->Az, Symbolic, &Numeric, spmat->Control, spmat->Info);
if (status < 0)
{
umfpack_zl_report_info(spmat->Control, spmat->Info);
umfpack_zl_report_status(spmat->Control, status);
fprintf(stderr, "%s: umfpack_zl_numeric failed", __PRETTY_FUNCTION__);
return -1;
}
//printf("%s: Numeric factorization of A: ", __PRETTY_FUNCTION__);
//umfpack_zl_report_numeric(Numeric, spmat->Control);
/* --- Solve M x = b --- */
status = umfpack_zl_solve(UMFPACK_A, spmat->Ap, spmat->Ai, spmat->Ax, spmat->Az, x_real, x_imag, b_real, b_imag, Numeric, spmat->Control, spmat->Info);
//umfpack_zl_report_info(spmat->Control, spmat->Info);
//umfpack_zl_report_status(spmat->Control, status);
if (status < 0)
{
fprintf(stderr, "%s: umfpack_zl_solve failed\n", __PRETTY_FUNCTION__);
}
//printf("%s: x (solution of Ax=b): ") ;
//umfpack_zl_report_vector(spmat->n, x_real, x_imag, spmat->Control);
{
double rnorm = resid(FALSE, spmat->Ap, spmat->Ai, spmat->Ax, spmat->Az, x_real, x_imag, b_real, b_imag, spmat->n);
printf ("maxnorm of residual: %g\n\n", rnorm) ;
}
return 0;
}