420 lines
10 KiB
C
420 lines
10 KiB
C
/* -- translated by f2c (version 20240504).
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You must link the resulting object file with libf2c:
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on Microsoft Windows system, link with libf2c.lib;
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on Linux or Unix systems, link with .../path/to/libf2c.a -lm
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or, if you install libf2c.a in a standard place, with -lf2c -lm
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-- in that order, at the end of the command line, as in
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cc *.o -lf2c -lm
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Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
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http://www.netlib.org/f2c/libf2c.zip
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*/
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#include "f2c.h"
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/* > \brief \b DLASCL multiplies a general rectangular matrix by a real scalar defined as cto/cfrom.
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=========== DOCUMENTATION ===========
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Online html documentation available at
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http://www.netlib.org/lapack/explore-html/
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> \htmlonly
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> Download DLASCL + dependencies
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> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlascl.
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f">
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> [TGZ]</a>
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> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlascl.
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f">
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> [ZIP]</a>
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> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlascl.
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f">
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> [TXT]</a>
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> \endhtmlonly
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Definition:
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===========
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SUBROUTINE DLASCL( TYPE, KL, KU, CFROM, CTO, M, N, A, LDA, INFO )
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CHARACTER TYPE
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INTEGER INFO, KL, KU, LDA, M, N
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DOUBLE PRECISION CFROM, CTO
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DOUBLE PRECISION A( LDA, * )
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> \par Purpose:
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=============
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>
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> \verbatim
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>
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> DLASCL multiplies the M by N real matrix A by the real scalar
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> CTO/CFROM. This is done without over/underflow as long as the final
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> result CTO*A(I,J)/CFROM does not over/underflow. TYPE specifies that
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> A may be full, upper triangular, lower triangular, upper Hessenberg,
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> or banded.
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> \endverbatim
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Arguments:
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==========
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> \param[in] TYPE
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> \verbatim
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> TYPE is CHARACTER*1
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> TYPE indices the storage type of the input matrix.
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> = 'G': A is a full matrix.
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> = 'L': A is a lower triangular matrix.
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> = 'U': A is an upper triangular matrix.
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> = 'H': A is an upper Hessenberg matrix.
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> = 'B': A is a symmetric band matrix with lower bandwidth KL
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> and upper bandwidth KU and with the only the lower
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> half stored.
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> = 'Q': A is a symmetric band matrix with lower bandwidth KL
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> and upper bandwidth KU and with the only the upper
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> half stored.
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> = 'Z': A is a band matrix with lower bandwidth KL and upper
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> bandwidth KU. See DGBTRF for storage details.
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> \endverbatim
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>
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> \param[in] KL
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> \verbatim
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> KL is INTEGER
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> The lower bandwidth of A. Referenced only if TYPE = 'B',
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> 'Q' or 'Z'.
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> \endverbatim
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>
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> \param[in] KU
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> \verbatim
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> KU is INTEGER
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> The upper bandwidth of A. Referenced only if TYPE = 'B',
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> 'Q' or 'Z'.
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> \endverbatim
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>
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> \param[in] CFROM
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> \verbatim
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> CFROM is DOUBLE PRECISION
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> \endverbatim
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>
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> \param[in] CTO
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> \verbatim
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> CTO is DOUBLE PRECISION
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>
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> The matrix A is multiplied by CTO/CFROM. A(I,J) is computed
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> without over/underflow if the final result CTO*A(I,J)/CFROM
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> can be represented without over/underflow. CFROM must be
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> nonzero.
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> \endverbatim
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>
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> \param[in] M
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> \verbatim
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> M is INTEGER
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> The number of rows of the matrix A. M >= 0.
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> \endverbatim
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>
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> \param[in] N
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> \verbatim
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> N is INTEGER
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> The number of columns of the matrix A. N >= 0.
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> \endverbatim
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>
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> \param[in,out] A
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> \verbatim
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> A is DOUBLE PRECISION array, dimension (LDA,N)
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> The matrix to be multiplied by CTO/CFROM. See TYPE for the
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> storage type.
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> \endverbatim
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>
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> \param[in] LDA
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> \verbatim
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> LDA is INTEGER
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> The leading dimension of the array A. LDA >= max(1,M).
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> \endverbatim
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>
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> \param[out] INFO
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> \verbatim
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> INFO is INTEGER
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> 0 - successful exit
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> <0 - if INFO = -i, the i-th argument had an illegal value.
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> \endverbatim
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Authors:
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========
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> \author Univ. of Tennessee
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> \author Univ. of California Berkeley
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> \author Univ. of Colorado Denver
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> \author NAG Ltd.
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> \date September 2012
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> \ingroup auxOTHERauxiliary
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=====================================================================
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Subroutine */ int igraphdlascl_(char *type__, integer *kl, integer *ku,
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doublereal *cfrom, doublereal *cto, integer *m, integer *n,
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doublereal *a, integer *lda, integer *info)
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{
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/* System generated locals */
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integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
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/* Local variables */
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integer i__, j, k1, k2, k3, k4;
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doublereal mul, cto1;
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logical done;
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doublereal ctoc;
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extern logical igraphlsame_(char *, char *);
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integer itype;
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doublereal cfrom1;
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extern doublereal igraphdlamch_(char *);
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doublereal cfromc;
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extern logical igraphdisnan_(doublereal *);
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extern /* Subroutine */ int igraphxerbla_(char *, integer *, ftnlen);
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doublereal bignum, smlnum;
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/* -- LAPACK auxiliary routine (version 3.4.2) --
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-- LAPACK is a software package provided by Univ. of Tennessee, --
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-- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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September 2012
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=====================================================================
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Test the input arguments
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Parameter adjustments */
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a_dim1 = *lda;
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a_offset = 1 + a_dim1;
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a -= a_offset;
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/* Function Body */
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*info = 0;
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if (igraphlsame_(type__, "G")) {
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itype = 0;
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} else if (igraphlsame_(type__, "L")) {
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itype = 1;
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} else if (igraphlsame_(type__, "U")) {
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itype = 2;
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} else if (igraphlsame_(type__, "H")) {
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itype = 3;
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} else if (igraphlsame_(type__, "B")) {
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itype = 4;
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} else if (igraphlsame_(type__, "Q")) {
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itype = 5;
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} else if (igraphlsame_(type__, "Z")) {
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itype = 6;
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} else {
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itype = -1;
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}
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if (itype == -1) {
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*info = -1;
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} else if (*cfrom == 0. || igraphdisnan_(cfrom)) {
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*info = -4;
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} else if (igraphdisnan_(cto)) {
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*info = -5;
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} else if (*m < 0) {
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*info = -6;
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} else if (*n < 0 || itype == 4 && *n != *m || itype == 5 && *n != *m) {
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*info = -7;
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} else if (itype <= 3 && *lda < max(1,*m)) {
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*info = -9;
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} else if (itype >= 4) {
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/* Computing MAX */
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i__1 = *m - 1;
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if (*kl < 0 || *kl > max(i__1,0)) {
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*info = -2;
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} else /* if(complicated condition) */ {
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/* Computing MAX */
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i__1 = *n - 1;
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if (*ku < 0 || *ku > max(i__1,0) || (itype == 4 || itype == 5) &&
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*kl != *ku) {
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*info = -3;
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} else if (itype == 4 && *lda < *kl + 1 || itype == 5 && *lda < *
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ku + 1 || itype == 6 && *lda < (*kl << 1) + *ku + 1) {
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*info = -9;
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}
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}
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}
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if (*info != 0) {
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i__1 = -(*info);
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igraphxerbla_("DLASCL", &i__1, (ftnlen)6);
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return 0;
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}
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/* Quick return if possible */
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if (*n == 0 || *m == 0) {
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return 0;
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}
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/* Get machine parameters */
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smlnum = igraphdlamch_("S");
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bignum = 1. / smlnum;
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cfromc = *cfrom;
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ctoc = *cto;
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L10:
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cfrom1 = cfromc * smlnum;
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if (cfrom1 == cfromc) {
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/* CFROMC is an inf. Multiply by a correctly signed zero for
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finite CTOC, or a NaN if CTOC is infinite. */
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mul = ctoc / cfromc;
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done = TRUE_;
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cto1 = ctoc;
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} else {
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cto1 = ctoc / bignum;
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if (cto1 == ctoc) {
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/* CTOC is either 0 or an inf. In both cases, CTOC itself
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serves as the correct multiplication factor. */
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mul = ctoc;
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done = TRUE_;
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cfromc = 1.;
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} else if (abs(cfrom1) > abs(ctoc) && ctoc != 0.) {
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mul = smlnum;
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done = FALSE_;
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cfromc = cfrom1;
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} else if (abs(cto1) > abs(cfromc)) {
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mul = bignum;
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done = FALSE_;
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ctoc = cto1;
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} else {
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mul = ctoc / cfromc;
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done = TRUE_;
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}
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}
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if (itype == 0) {
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/* Full matrix */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = *m;
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for (i__ = 1; i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L20: */
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}
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/* L30: */
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}
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} else if (itype == 1) {
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/* Lower triangular matrix */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = *m;
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for (i__ = j; i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L40: */
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}
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/* L50: */
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}
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} else if (itype == 2) {
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/* Upper triangular matrix */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = min(j,*m);
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for (i__ = 1; i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L60: */
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}
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/* L70: */
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}
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} else if (itype == 3) {
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/* Upper Hessenberg matrix */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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/* Computing MIN */
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i__3 = j + 1;
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i__2 = min(i__3,*m);
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for (i__ = 1; i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L80: */
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}
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/* L90: */
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}
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} else if (itype == 4) {
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/* Lower half of a symmetric band matrix */
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k3 = *kl + 1;
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k4 = *n + 1;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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/* Computing MIN */
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i__3 = k3, i__4 = k4 - j;
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i__2 = min(i__3,i__4);
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for (i__ = 1; i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L100: */
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}
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/* L110: */
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}
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} else if (itype == 5) {
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/* Upper half of a symmetric band matrix */
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k1 = *ku + 2;
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k3 = *ku + 1;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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/* Computing MAX */
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i__2 = k1 - j;
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i__3 = k3;
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for (i__ = max(i__2,1); i__ <= i__3; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L120: */
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}
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/* L130: */
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}
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} else if (itype == 6) {
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/* Band matrix */
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k1 = *kl + *ku + 2;
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k2 = *kl + 1;
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k3 = (*kl << 1) + *ku + 1;
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k4 = *kl + *ku + 1 + *m;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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/* Computing MAX */
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i__3 = k1 - j;
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/* Computing MIN */
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i__4 = k3, i__5 = k4 - j;
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i__2 = min(i__4,i__5);
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for (i__ = max(i__3,k2); i__ <= i__2; ++i__) {
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a[i__ + j * a_dim1] *= mul;
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/* L140: */
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}
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/* L150: */
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}
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}
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if (! done) {
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goto L10;
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}
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return 0;
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/* End of DLASCL */
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} /* igraphdlascl_ */
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