/* -- translated by f2c (version 20100827).
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*/
#include "f2c.h"
/* > \brief \b DLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.
=========== DOCUMENTATION ===========
Online html documentation available at
http://www.netlib.org/lapack/explore-html/
> \htmlonly
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f">
> [TXT]</a>
> \endhtmlonly
Definition:
===========
SUBROUTINE DLASCL( TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO )
CHARACTER TYPE
INTEGER INFO, KL, KU, LDA, M, N
DOUBLE PRECISION CFROM, CTO
DOUBLE PRECISION A( LDA, * )
> \par Purpose:
=============
>
> \verbatim
>
> DLASCL multiplies the M by N real matrix A by the real scalar
> CTO/CFROM. This is done without over/underflow as long as the final
> result CTO*A(I,J)/CFROM does not over/underflow. TYPE specifies that
> A may be full, upper triangular, lower triangular, upper Hessenberg,
> or banded.
> \endverbatim
Arguments:
==========
> \param[in] TYPE
> \verbatim
> TYPE is CHARACTER*1
> TYPE indices the storage type of the input matrix.
> = 'G': A is a full matrix.
> = 'L': A is a lower triangular matrix.
> = 'U': A is an upper triangular matrix.
> = 'H': A is an upper Hessenberg matrix.
> = 'B': A is a symmetric band matrix with lower bandwidth KL
> and upper bandwidth KU and with the only the lower
> half stored.
> = 'Q': A is a symmetric band matrix with lower bandwidth KL
> and upper bandwidth KU and with the only the upper
> half stored.
> = 'Z': A is a band matrix with lower bandwidth KL and upper
> bandwidth KU. See DGBTRF for storage details.
> \endverbatim
>
> \param[in] KL
> \verbatim
> KL is INTEGER
> The lower bandwidth of A. Referenced only if TYPE = 'B',
> 'Q' or 'Z'.
> \endverbatim
>
> \param[in] KU
> \verbatim
> KU is INTEGER
> The upper bandwidth of A. Referenced only if TYPE = 'B',
> 'Q' or 'Z'.
> \endverbatim
>
> \param[in] CFROM
> \verbatim
> CFROM is DOUBLE PRECISION
> \endverbatim
>
> \param[in] CTO
> \verbatim
> CTO is DOUBLE PRECISION
>
> The matrix A is multiplied by CTO/CFROM. A(I,J) is computed
> without over/underflow if the final result CTO*A(I,J)/CFROM
> can be represented without over/underflow. CFROM must be
> nonzero.
> \endverbatim
>
> \param[in] M
> \verbatim
> M is INTEGER
> The number of rows of the matrix A. M >= 0.
> \endverbatim
>
> \param[in] N
> \verbatim
> N is INTEGER
> The number of columns of the matrix A. N >= 0.
> \endverbatim
>
> \param[in,out] A
> \verbatim
> A is DOUBLE PRECISION array, dimension (LDA,N)
> The matrix to be multiplied by CTO/CFROM. See TYPE for the
> storage type.
> \endverbatim
>
> \param[in] LDA
> \verbatim
> LDA is INTEGER
> The leading dimension of the array A. LDA >= max(1,M).
> \endverbatim
>
> \param[out] INFO
> \verbatim
> INFO is INTEGER
> 0 - successful exit
> <0 - if INFO = -i, the i-th argument had an illegal value.
> \endverbatim
Authors:
========
> \author Univ. of Tennessee
> \author Univ. of California Berkeley
> \author Univ. of Colorado Denver
> \author NAG Ltd.
> \date September 2012
> \ingroup auxOTHERauxiliary
=====================================================================
Subroutine */ int igraphdlascl_(char *type__, integer *kl, integer *ku,
doublereal *cfrom, doublereal *cto, integer *m, integer *n,
doublereal *a, integer *lda, integer *info)
{
/* System generated locals */
integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
/* Local variables */
integer i__, j, k1, k2, k3, k4;
doublereal mul, cto1;
logical done;
doublereal ctoc;
extern logical igraphlsame_(char *, char *);
integer itype;
doublereal cfrom1;
extern doublereal igraphdlamch_(char *);
doublereal cfromc;
extern logical igraphdisnan_(doublereal *);
extern /* Subroutine */ int igraphxerbla_(char *, integer *, ftnlen);
doublereal bignum, smlnum;
/* -- LAPACK auxiliary routine (version 3.4.2) --
-- LAPACK is a software package provided by Univ. of Tennessee, --
-- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
September 2012
=====================================================================
Test the input arguments
Parameter adjustments */
a_dim1 = *lda;
a_offset = 1 + a_dim1;
a -= a_offset;
/* Function Body */
*info = 0;
if (igraphlsame_(type__, "G")) {
itype = 0;
} else if (igraphlsame_(type__, "L")) {
itype = 1;
} else if (igraphlsame_(type__, "U")) {
itype = 2;
} else if (igraphlsame_(type__, "H")) {
itype = 3;
} else if (igraphlsame_(type__, "B")) {
itype = 4;
} else if (igraphlsame_(type__, "Q")) {
itype = 5;
} else if (igraphlsame_(type__, "Z")) {
itype = 6;
} else {
itype = -1;
}
if (itype == -1) {
*info = -1;
} else if (*cfrom == 0. || igraphdisnan_(cfrom)) {
*info = -4;
} else if (igraphdisnan_(cto)) {
*info = -5;
} else if (*m < 0) {
*info = -6;
} else if (*n < 0 || itype == 4 && *n != *m || itype == 5 && *n != *m) {
*info = -7;
} else if (itype <= 3 && *lda < max(1,*m)) {
*info = -9;
} else if (itype >= 4) {
/* Computing MAX */
i__1 = *m - 1;
if (*kl < 0 || *kl > max(i__1,0)) {
*info = -2;
} else /* if(complicated condition) */ {
/* Computing MAX */
i__1 = *n - 1;
if (*ku < 0 || *ku > max(i__1,0) || (itype == 4 || itype == 5) &&
*kl != *ku) {
*info = -3;
} else if (itype == 4 && *lda < *kl + 1 || itype == 5 && *lda < *
ku + 1 || itype == 6 && *lda < (*kl << 1) + *ku + 1) {
*info = -9;
}
}
}
if (*info != 0) {
i__1 = -(*info);
igraphxerbla_("DLASCL", &i__1, (ftnlen)6);
return 0;
}
/* Quick return if possible */
if (*n == 0 || *m == 0) {
return 0;
}
/* Get machine parameters */
smlnum = igraphdlamch_("S");
bignum = 1. / smlnum;
cfromc = *cfrom;
ctoc = *cto;
L10:
cfrom1 = cfromc * smlnum;
if (cfrom1 == cfromc) {
/* CFROMC is an inf. Multiply by a correctly signed zero for
finite CTOC, or a NaN if CTOC is infinite. */
mul = ctoc / cfromc;
done = TRUE_;
cto1 = ctoc;
} else {
cto1 = ctoc / bignum;
if (cto1 == ctoc) {
/* CTOC is either 0 or an inf. In both cases, CTOC itself
serves as the correct multiplication factor. */
mul = ctoc;
done = TRUE_;
cfromc = 1.;
} else if (abs(cfrom1) > abs(ctoc) && ctoc != 0.) {
mul = smlnum;
done = FALSE_;
cfromc = cfrom1;
} else if (abs(cto1) > abs(cfromc)) {
mul = bignum;
done = FALSE_;
ctoc = cto1;
} else {
mul = ctoc / cfromc;
done = TRUE_;
}
}
if (itype == 0) {
/* Full matrix */
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
for (i__ = 1; i__ <= i__2; ++i__) {
a[i__ + j * a_dim1] *= mul;
/* L20: */
}
/* L30: */
}
} else if (itype == 1) {
/* Lower triangular matrix */
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = *m;
for (i__ = j; i__ <= i__2; ++i__) {
a[i__ + j * a_dim1] *= mul;
/* L40: */
}
/* L50: */
}
} else if (itype == 2) {
/* Upper triangular matrix */
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
i__2 = min(j,*m);
for (i__ = 1; i__ <= i__2; ++i__) {
a[i__ + j * a_dim1] *= mul;
/* L60: */
}
/* L70: */
}
} else if (itype == 3) {
/* Upper Hessenberg matrix */
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
/* Computing MIN */
i__3 = j + 1;
i__2 = min(i__3,*m);
for (i__ = 1; i__ <= i__2; ++i__) {
a[i__ + j * a_dim1] *= mul;
/* L80: */
}
/* L90: */
}
} else if (itype == 4) {
/* Lower half of a symmetric band matrix */
k3 = *kl + 1;
k4 = *n + 1;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
/* Computing MIN */
i__3 = k3, i__4 = k4 - j;
i__2 = min(i__3,i__4);
for (i__ = 1; i__ <= i__2; ++i__) {
a[i__ + j * a_dim1] *= mul;
/* L100: */
}
/* L110: */
}
} else if (itype == 5) {
/* Upper half of a symmetric band matrix */
k1 = *ku + 2;
k3 = *ku + 1;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
/* Computing MAX */
i__2 = k1 - j;
i__3 = k3;
for (i__ = max(i__2,1); i__ <= i__3; ++i__) {
a[i__ + j * a_dim1] *= mul;
/* L120: */
}
/* L130: */
}
} else if (itype == 6) {
/* Band matrix */
k1 = *kl + *ku + 2;
k2 = *kl + 1;
k3 = (*kl << 1) + *ku + 1;
k4 = *kl + *ku + 1 + *m;
i__1 = *n;
for (j = 1; j <= i__1; ++j) {
/* Computing MAX */
i__3 = k1 - j;
/* Computing MIN */
i__4 = k3, i__5 = k4 - j;
i__2 = min(i__4,i__5);
for (i__ = max(i__3,k2); i__ <= i__2; ++i__) {
a[i__ + j * a_dim1] *= mul;
/* L140: */
}
/* L150: */
}
}
if (! done) {
goto L10;
}
return 0;
/* End of DLASCL */
} /* igraphdlascl_ */