/*
* Let rhs[i] = sum of i-th row of A, so the solution vector is all 1's
*/
void
dFillRHS(trans_t trans, int nrhs, double *x, int ldx,
SuperMatrix *A, SuperMatrix *B)
{
NCformat *Astore;
double *Aval;
DNformat *Bstore;
double *rhs;
double one = 1.0;
double zero = 0.0;
int ldc;
char transc[1];
Astore = A->Store;
Aval = (double *) Astore->nzval;
Bstore = B->Store;
rhs = Bstore->nzval;
ldc = Bstore->lda;
if ( trans == NOTRANS ) *(unsigned char *)transc = 'N';
else *(unsigned char *)transc = 'T';
sp_dgemm(transc, "N", A->nrow, nrhs, A->ncol, one, A,
x, ldx, zero, rhs, ldc);
}
/*
* Let rhs[i] = sum of i-th row of A, so the solution vector is all 1's
*/
void
dFillRHS(char *trans, int nrhs, double *x, int ldx,
SuperMatrix *A, SuperMatrix *B)
{
NCformat *Astore;
double *Aval;
DNformat *Bstore;
double *rhs;
double one = 1.0;
double zero = 0.0;
int ldc;
Astore = A->Store;
Aval = (double *) Astore->nzval;
Bstore = B->Store;
rhs = Bstore->nzval;
ldc = Bstore->lda;
sp_dgemm(trans, "N", A->nrow, nrhs, A->ncol, one, A,
x, ldx, zero, rhs, ldc);
}
/*
* Let rhs[i] = sum of i-th row of A, so the solution vector is all 1's
*/
void
dFillRHS(trans_t trans, int nrhs, double *x, int ldx, SuperMatrix *A, SuperMatrix *B)
{
NCformat *Astore;
double *Aval;
DNformat *Bstore;
double *rhs;
int ldc;
char trans_c[1];
Astore = A->Store;
Aval = (double *) Astore->nzval;
Bstore = B->Store;
rhs = Bstore->nzval;
ldc = Bstore->lda;
if ( trans == NOTRANS ) *trans_c = 'N';
else *trans_c = 'T';
sp_dgemm(trans_c, A->nrow, nrhs, A->ncol, 1.0, A,
x, ldx, 0.0, rhs, ldc);
}
int dgst02(trans_t trans, int m, int n, int nrhs, SuperMatrix *A,
double *x, int ldx, double *b, int ldb, double *resid)
{
/*
Purpose
=======
DGST02 computes the residual for a solution of a system of linear
equations A*x = b or A'*x = b:
RESID = norm(B - A*X) / ( norm(A) * norm(X) * EPS ),
where EPS is the machine epsilon.
Arguments
=========
TRANS (input) trans_t
Specifies the form of the system of equations:
= NOTRANS: A *x = b
= TRANS : A'*x = b, where A' is the transpose of A
= CONJ : A'*x = b, where A' is the transpose of A
M (input) INTEGER
The number of rows of the matrix A. M >= 0.
N (input) INTEGER
The number of columns of the matrix A. N >= 0.
NRHS (input) INTEGER
The number of columns of B, the matrix of right hand sides.
NRHS >= 0.
A (input) SuperMatrix*, dimension (LDA,N)
The original M x N sparse matrix A.
X (input) DOUBLE PRECISION array, dimension (LDX,NRHS)
The computed solution vectors for the system of linear
equations.
LDX (input) INTEGER
The leading dimension of the array X. If TRANS = NOTRANS,
LDX >= max(1,N); if TRANS = TRANS or CONJ, LDX >= max(1,M).
B (input/output) DOUBLE PRECISION array, dimension (LDB,NRHS)
On entry, the right hand side vectors for the system of
linear equations.
On exit, B is overwritten with the difference B - A*X.
LDB (input) INTEGER
The leading dimension of the array B. IF TRANS = NOTRANS,
LDB >= max(1,M); if TRANS = TRANS or CONJ, LDB >= max(1,N).
RESID (output) DOUBLE PRECISION
The maximum over the number of right hand sides of
norm(B - A*X) / ( norm(A) * norm(X) * EPS ).
=====================================================================
*/
/* Table of constant values */
double alpha = -1.;
double beta = 1.;
int c__1 = 1;
/* System generated locals */
double d__1, d__2;
/* Local variables */
int j;
int n1, n2;
double anorm, bnorm;
double xnorm;
double eps;
char transc[1];
/* Function prototypes */
extern int lsame_(char *, char *);
extern double dlangs(char *, SuperMatrix *);
extern double dasum_(int *, double *, int *);
extern double dlamch_(char *);
/* Function Body */
if ( m <= 0 || n <= 0 || nrhs == 0) {
*resid = 0.;
return 0;
}
if ( (trans == TRANS) || (trans == CONJ) ) {
n1 = n;
n2 = m;
*transc = 'T';
} else {
n1 = m;
n2 = n;
*transc = 'N';
}
/* Exit with RESID = 1/EPS if ANORM = 0. */
eps = dlamch_("Epsilon");
anorm = dlangs("1", A);
if (anorm <= 0.) {
*resid = 1. / eps;
return 0;
}
/* Compute B - A*X (or B - A'*X ) and store in B. */
sp_dgemm(transc, "N", n1, nrhs, n2, alpha, A, x, ldx, beta, b, ldb);
/* Compute the maximum over the number of right hand sides of
norm(B - A*X) / ( norm(A) * norm(X) * EPS ) . */
*resid = 0.;
for (j = 0; j < nrhs; ++j) {
bnorm = dasum_(&n1, &b[j*ldb], &c__1);
xnorm = dasum_(&n2, &x[j*ldx], &c__1);
if (xnorm <= 0.) {
*resid = 1. / eps;
} else {
/* Computing MAX */
d__1 = *resid, d__2 = bnorm / anorm / xnorm / eps;
*resid = SUPERLU_MAX(d__1, d__2);
}
}
return 0;
} /* dgst02 */