whitespace fixes
This commit is contained in:
@ -1,13 +1,13 @@
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/* fortran/dgelsd.f -- translated by f2c (version 20200916).
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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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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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http://www.netlib.org/f2c/libf2c.zip
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*/
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#ifdef __cplusplus
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@ -234,10 +234,10 @@ f"> */
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/* > Osni Marques, LBNL/NERSC, USA \n */
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/* ===================================================================== */
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/* Subroutine */ int dgelsd_(integer *m, integer *n, integer *nrhs,
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doublereal *a, integer *lda, doublereal *b, integer *ldb, doublereal *
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s, doublereal *rcond, integer *rank, doublereal *work, integer *lwork,
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integer *iwork, integer *info)
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/* Subroutine */ int dgelsd_(integer *m, integer *n, integer *nrhs,
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doublereal *a, integer *lda, doublereal *b, integer *ldb, doublereal *
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s, doublereal *rcond, integer *rank, doublereal *work, integer *lwork,
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integer *iwork, integer *info)
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{
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/* System generated locals */
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integer a_dim1, a_offset, b_dim1, b_offset, i__1, i__2, i__3, i__4;
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@ -252,39 +252,39 @@ f"> */
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doublereal sfmin;
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integer minmn, maxmn, itaup, itauq, mnthr, nwork;
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extern /* Subroutine */ int dlabad_(doublereal *, doublereal *), dgebrd_(
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integer *, integer *, doublereal *, integer *, doublereal *,
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doublereal *, doublereal *, doublereal *, doublereal *, integer *,
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integer *);
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extern doublereal dlamch_(char *, ftnlen), dlange_(char *, integer *,
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integer *, doublereal *, integer *, doublereal *, ftnlen);
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extern /* Subroutine */ int dgelqf_(integer *, integer *, doublereal *,
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integer *, doublereal *, doublereal *, integer *, integer *),
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dlalsd_(char *, integer *, integer *, integer *, doublereal *,
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doublereal *, doublereal *, integer *, doublereal *, integer *,
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doublereal *, integer *, integer *, ftnlen), dlascl_(char *,
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integer *, integer *, doublereal *, doublereal *, integer *,
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integer *, doublereal *, integer *, integer *, ftnlen), dgeqrf_(
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integer *, integer *, doublereal *, integer *, doublereal *,
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doublereal *, integer *, integer *), dlacpy_(char *, integer *,
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integer *, doublereal *, integer *, doublereal *, integer *,
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ftnlen), dlaset_(char *, integer *, integer *, doublereal *,
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doublereal *, doublereal *, integer *, ftnlen), xerbla_(char *,
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integer *, ftnlen);
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extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
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integer *, integer *, ftnlen, ftnlen);
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integer *, integer *, doublereal *, integer *, doublereal *,
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doublereal *, doublereal *, doublereal *, doublereal *, integer *,
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integer *);
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extern doublereal dlamch_(char *, ftnlen), dlange_(char *, integer *,
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integer *, doublereal *, integer *, doublereal *, ftnlen);
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extern /* Subroutine */ int dgelqf_(integer *, integer *, doublereal *,
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integer *, doublereal *, doublereal *, integer *, integer *),
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dlalsd_(char *, integer *, integer *, integer *, doublereal *,
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doublereal *, doublereal *, integer *, doublereal *, integer *,
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doublereal *, integer *, integer *, ftnlen), dlascl_(char *,
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integer *, integer *, doublereal *, doublereal *, integer *,
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integer *, doublereal *, integer *, integer *, ftnlen), dgeqrf_(
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integer *, integer *, doublereal *, integer *, doublereal *,
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doublereal *, integer *, integer *), dlacpy_(char *, integer *,
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integer *, doublereal *, integer *, doublereal *, integer *,
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ftnlen), dlaset_(char *, integer *, integer *, doublereal *,
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doublereal *, doublereal *, integer *, ftnlen), xerbla_(char *,
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integer *, ftnlen);
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extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
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integer *, integer *, ftnlen, ftnlen);
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doublereal bignum;
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extern /* Subroutine */ int dormbr_(char *, char *, char *, integer *,
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integer *, integer *, doublereal *, integer *, doublereal *,
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doublereal *, integer *, doublereal *, integer *, integer *,
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ftnlen, ftnlen, ftnlen);
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extern /* Subroutine */ int dormbr_(char *, char *, char *, integer *,
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integer *, integer *, doublereal *, integer *, doublereal *,
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doublereal *, integer *, doublereal *, integer *, integer *,
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ftnlen, ftnlen, ftnlen);
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integer wlalsd;
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extern /* Subroutine */ int dormlq_(char *, char *, integer *, integer *,
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integer *, doublereal *, integer *, doublereal *, doublereal *,
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integer *, doublereal *, integer *, integer *, ftnlen, ftnlen);
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extern /* Subroutine */ int dormlq_(char *, char *, integer *, integer *,
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integer *, doublereal *, integer *, doublereal *, doublereal *,
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integer *, doublereal *, integer *, integer *, ftnlen, ftnlen);
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integer ldwork;
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extern /* Subroutine */ int dormqr_(char *, char *, integer *, integer *,
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integer *, doublereal *, integer *, doublereal *, doublereal *,
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integer *, doublereal *, integer *, integer *, ftnlen, ftnlen);
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extern /* Subroutine */ int dormqr_(char *, char *, integer *, integer *,
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integer *, doublereal *, integer *, doublereal *, doublereal *,
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integer *, doublereal *, integer *, integer *, ftnlen, ftnlen);
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integer liwork, minwrk, maxwrk;
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doublereal smlnum;
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logical lquery;
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@ -332,22 +332,22 @@ f"> */
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minmn = min(*m,*n);
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maxmn = max(*m,*n);
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mnthr = ilaenv_(&c__6, (char *)"DGELSD", (char *)" ", m, n, nrhs, &c_n1, (ftnlen)6, (
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ftnlen)1);
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ftnlen)1);
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lquery = *lwork == -1;
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if (*m < 0) {
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*info = -1;
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*info = -1;
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} else if (*n < 0) {
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*info = -2;
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*info = -2;
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} else if (*nrhs < 0) {
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*info = -3;
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*info = -3;
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} else if (*lda < max(1,*m)) {
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*info = -5;
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*info = -5;
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} else if (*ldb < max(1,maxmn)) {
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*info = -7;
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*info = -7;
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}
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smlsiz = ilaenv_(&c__9, (char *)"DGELSD", (char *)" ", &c__0, &c__0, &c__0, &c__0, (
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ftnlen)6, (ftnlen)1);
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ftnlen)6, (ftnlen)1);
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/* Compute workspace. */
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/* (Note: Comments in the code beginning (char *)"Workspace:" describe the */
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@ -360,151 +360,151 @@ f"> */
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liwork = 1;
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minmn = max(1,minmn);
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/* Computing MAX */
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i__1 = (integer) (log((doublereal) minmn / (doublereal) (smlsiz + 1)) /
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log(2.)) + 1;
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i__1 = (integer) (log((doublereal) minmn / (doublereal) (smlsiz + 1)) /
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log(2.)) + 1;
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nlvl = max(i__1,0);
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if (*info == 0) {
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maxwrk = 0;
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liwork = minmn * 3 * nlvl + minmn * 11;
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mm = *m;
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if (*m >= *n && *m >= mnthr) {
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maxwrk = 0;
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liwork = minmn * 3 * nlvl + minmn * 11;
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mm = *m;
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if (*m >= *n && *m >= mnthr) {
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/* Path 1a - overdetermined, with many more rows than columns. */
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mm = *n;
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mm = *n;
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *n + *n * ilaenv_(&c__1, (char *)"DGEQRF", (char *)" ", m,
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n, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
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maxwrk = max(i__1,i__2);
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i__1 = maxwrk, i__2 = *n + *n * ilaenv_(&c__1, (char *)"DGEQRF", (char *)" ", m,
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n, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
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maxwrk = max(i__1,i__2);
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *n + *nrhs * ilaenv_(&c__1, (char *)"DORMQR", (char *)"LT",
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m, nrhs, n, &c_n1, (ftnlen)6, (ftnlen)2);
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maxwrk = max(i__1,i__2);
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}
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if (*m >= *n) {
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i__1 = maxwrk, i__2 = *n + *nrhs * ilaenv_(&c__1, (char *)"DORMQR", (char *)"LT",
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m, nrhs, n, &c_n1, (ftnlen)6, (ftnlen)2);
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maxwrk = max(i__1,i__2);
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}
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if (*m >= *n) {
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/* Path 1 - overdetermined or exactly determined. */
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *n * 3 + (mm + *n) * ilaenv_(&c__1, (char *)"DGEBRD"
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, (char *)" ", &mm, n, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
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maxwrk = max(i__1,i__2);
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i__1 = maxwrk, i__2 = *n * 3 + (mm + *n) * ilaenv_(&c__1, (char *)"DGEBRD"
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, (char *)" ", &mm, n, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
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maxwrk = max(i__1,i__2);
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *n * 3 + *nrhs * ilaenv_(&c__1, (char *)"DORMBR",
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(char *)"QLT", &mm, nrhs, n, &c_n1, (ftnlen)6, (ftnlen)3);
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maxwrk = max(i__1,i__2);
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i__1 = maxwrk, i__2 = *n * 3 + *nrhs * ilaenv_(&c__1, (char *)"DORMBR",
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(char *)"QLT", &mm, nrhs, n, &c_n1, (ftnlen)6, (ftnlen)3);
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maxwrk = max(i__1,i__2);
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *n * 3 + (*n - 1) * ilaenv_(&c__1, (char *)"DORMBR",
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(char *)"PLN", n, nrhs, n, &c_n1, (ftnlen)6, (ftnlen)3);
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maxwrk = max(i__1,i__2);
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i__1 = maxwrk, i__2 = *n * 3 + (*n - 1) * ilaenv_(&c__1, (char *)"DORMBR",
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(char *)"PLN", n, nrhs, n, &c_n1, (ftnlen)6, (ftnlen)3);
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maxwrk = max(i__1,i__2);
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/* Computing 2nd power */
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i__1 = smlsiz + 1;
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wlalsd = *n * 9 + (*n << 1) * smlsiz + (*n << 3) * nlvl + *n * *
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nrhs + i__1 * i__1;
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i__1 = smlsiz + 1;
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wlalsd = *n * 9 + (*n << 1) * smlsiz + (*n << 3) * nlvl + *n * *
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nrhs + i__1 * i__1;
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *n * 3 + wlalsd;
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maxwrk = max(i__1,i__2);
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i__1 = maxwrk, i__2 = *n * 3 + wlalsd;
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maxwrk = max(i__1,i__2);
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/* Computing MAX */
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i__1 = *n * 3 + mm, i__2 = *n * 3 + *nrhs, i__1 = max(i__1,i__2),
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i__2 = *n * 3 + wlalsd;
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minwrk = max(i__1,i__2);
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}
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if (*n > *m) {
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i__1 = *n * 3 + mm, i__2 = *n * 3 + *nrhs, i__1 = max(i__1,i__2),
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i__2 = *n * 3 + wlalsd;
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minwrk = max(i__1,i__2);
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}
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if (*n > *m) {
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/* Computing 2nd power */
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i__1 = smlsiz + 1;
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wlalsd = *m * 9 + (*m << 1) * smlsiz + (*m << 3) * nlvl + *m * *
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nrhs + i__1 * i__1;
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if (*n >= mnthr) {
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i__1 = smlsiz + 1;
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wlalsd = *m * 9 + (*m << 1) * smlsiz + (*m << 3) * nlvl + *m * *
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nrhs + i__1 * i__1;
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if (*n >= mnthr) {
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/* Path 2a - underdetermined, with many more columns */
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/* than rows. */
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maxwrk = *m + *m * ilaenv_(&c__1, (char *)"DGELQF", (char *)" ", m, n, &c_n1,
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&c_n1, (ftnlen)6, (ftnlen)1);
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maxwrk = *m + *m * ilaenv_(&c__1, (char *)"DGELQF", (char *)" ", m, n, &c_n1,
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&c_n1, (ftnlen)6, (ftnlen)1);
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *m * *m + (*m << 2) + (*m << 1) *
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ilaenv_(&c__1, (char *)"DGEBRD", (char *)" ", m, m, &c_n1, &c_n1, (
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ftnlen)6, (ftnlen)1);
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maxwrk = max(i__1,i__2);
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i__1 = maxwrk, i__2 = *m * *m + (*m << 2) + (*m << 1) *
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ilaenv_(&c__1, (char *)"DGEBRD", (char *)" ", m, m, &c_n1, &c_n1, (
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ftnlen)6, (ftnlen)1);
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maxwrk = max(i__1,i__2);
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *m * *m + (*m << 2) + *nrhs * ilaenv_(&
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c__1, (char *)"DORMBR", (char *)"QLT", m, nrhs, m, &c_n1, (ftnlen)6, (
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ftnlen)3);
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maxwrk = max(i__1,i__2);
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i__1 = maxwrk, i__2 = *m * *m + (*m << 2) + *nrhs * ilaenv_(&
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c__1, (char *)"DORMBR", (char *)"QLT", m, nrhs, m, &c_n1, (ftnlen)6, (
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ftnlen)3);
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maxwrk = max(i__1,i__2);
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *m * *m + (*m << 2) + (*m - 1) *
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ilaenv_(&c__1, (char *)"DORMBR", (char *)"PLN", m, nrhs, m, &c_n1, (
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ftnlen)6, (ftnlen)3);
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maxwrk = max(i__1,i__2);
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if (*nrhs > 1) {
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i__1 = maxwrk, i__2 = *m * *m + (*m << 2) + (*m - 1) *
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ilaenv_(&c__1, (char *)"DORMBR", (char *)"PLN", m, nrhs, m, &c_n1, (
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ftnlen)6, (ftnlen)3);
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maxwrk = max(i__1,i__2);
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if (*nrhs > 1) {
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *m * *m + *m + *m * *nrhs;
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maxwrk = max(i__1,i__2);
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} else {
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i__1 = maxwrk, i__2 = *m * *m + *m + *m * *nrhs;
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maxwrk = max(i__1,i__2);
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} else {
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *m * *m + (*m << 1);
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maxwrk = max(i__1,i__2);
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}
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i__1 = maxwrk, i__2 = *m * *m + (*m << 1);
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maxwrk = max(i__1,i__2);
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}
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/* Computing MAX */
|
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i__1 = maxwrk, i__2 = *m + *nrhs * ilaenv_(&c__1, (char *)"DORMLQ",
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(char *)"LT", n, nrhs, m, &c_n1, (ftnlen)6, (ftnlen)2);
|
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maxwrk = max(i__1,i__2);
|
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i__1 = maxwrk, i__2 = *m + *nrhs * ilaenv_(&c__1, (char *)"DORMLQ",
|
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(char *)"LT", n, nrhs, m, &c_n1, (ftnlen)6, (ftnlen)2);
|
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maxwrk = max(i__1,i__2);
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/* Computing MAX */
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i__1 = maxwrk, i__2 = *m * *m + (*m << 2) + wlalsd;
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maxwrk = max(i__1,i__2);
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i__1 = maxwrk, i__2 = *m * *m + (*m << 2) + wlalsd;
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maxwrk = max(i__1,i__2);
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||||
/* XXX: Ensure the Path 2a case below is triggered. The workspace */
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||||
/* calculation should use queries for all routines eventually. */
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/* Computing MAX */
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||||
/* Computing MAX */
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i__3 = *m, i__4 = (*m << 1) - 4, i__3 = max(i__3,i__4), i__3 =
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max(i__3,*nrhs), i__4 = *n - *m * 3;
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||||
i__1 = maxwrk, i__2 = (*m << 2) + *m * *m + max(i__3,i__4);
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maxwrk = max(i__1,i__2);
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} else {
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i__3 = *m, i__4 = (*m << 1) - 4, i__3 = max(i__3,i__4), i__3 =
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max(i__3,*nrhs), i__4 = *n - *m * 3;
|
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i__1 = maxwrk, i__2 = (*m << 2) + *m * *m + max(i__3,i__4);
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maxwrk = max(i__1,i__2);
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} else {
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||||
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/* Path 2 - remaining underdetermined cases. */
|
||||
|
||||
maxwrk = *m * 3 + (*n + *m) * ilaenv_(&c__1, (char *)"DGEBRD", (char *)" ", m,
|
||||
n, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
|
||||
maxwrk = *m * 3 + (*n + *m) * ilaenv_(&c__1, (char *)"DGEBRD", (char *)" ", m,
|
||||
n, &c_n1, &c_n1, (ftnlen)6, (ftnlen)1);
|
||||
/* Computing MAX */
|
||||
i__1 = maxwrk, i__2 = *m * 3 + *nrhs * ilaenv_(&c__1, (char *)"DORMBR"
|
||||
, (char *)"QLT", m, nrhs, n, &c_n1, (ftnlen)6, (ftnlen)3);
|
||||
maxwrk = max(i__1,i__2);
|
||||
i__1 = maxwrk, i__2 = *m * 3 + *nrhs * ilaenv_(&c__1, (char *)"DORMBR"
|
||||
, (char *)"QLT", m, nrhs, n, &c_n1, (ftnlen)6, (ftnlen)3);
|
||||
maxwrk = max(i__1,i__2);
|
||||
/* Computing MAX */
|
||||
i__1 = maxwrk, i__2 = *m * 3 + *m * ilaenv_(&c__1, (char *)"DORMBR",
|
||||
(char *)"PLN", n, nrhs, m, &c_n1, (ftnlen)6, (ftnlen)3);
|
||||
maxwrk = max(i__1,i__2);
|
||||
i__1 = maxwrk, i__2 = *m * 3 + *m * ilaenv_(&c__1, (char *)"DORMBR",
|
||||
(char *)"PLN", n, nrhs, m, &c_n1, (ftnlen)6, (ftnlen)3);
|
||||
maxwrk = max(i__1,i__2);
|
||||
/* Computing MAX */
|
||||
i__1 = maxwrk, i__2 = *m * 3 + wlalsd;
|
||||
maxwrk = max(i__1,i__2);
|
||||
}
|
||||
i__1 = maxwrk, i__2 = *m * 3 + wlalsd;
|
||||
maxwrk = max(i__1,i__2);
|
||||
}
|
||||
/* Computing MAX */
|
||||
i__1 = *m * 3 + *nrhs, i__2 = *m * 3 + *m, i__1 = max(i__1,i__2),
|
||||
i__2 = *m * 3 + wlalsd;
|
||||
minwrk = max(i__1,i__2);
|
||||
}
|
||||
minwrk = min(minwrk,maxwrk);
|
||||
work[1] = (doublereal) maxwrk;
|
||||
iwork[1] = liwork;
|
||||
if (*lwork < minwrk && ! lquery) {
|
||||
*info = -12;
|
||||
}
|
||||
i__1 = *m * 3 + *nrhs, i__2 = *m * 3 + *m, i__1 = max(i__1,i__2),
|
||||
i__2 = *m * 3 + wlalsd;
|
||||
minwrk = max(i__1,i__2);
|
||||
}
|
||||
minwrk = min(minwrk,maxwrk);
|
||||
work[1] = (doublereal) maxwrk;
|
||||
iwork[1] = liwork;
|
||||
if (*lwork < minwrk && ! lquery) {
|
||||
*info = -12;
|
||||
}
|
||||
}
|
||||
|
||||
if (*info != 0) {
|
||||
i__1 = -(*info);
|
||||
xerbla_((char *)"DGELSD", &i__1, (ftnlen)6);
|
||||
return 0;
|
||||
i__1 = -(*info);
|
||||
xerbla_((char *)"DGELSD", &i__1, (ftnlen)6);
|
||||
return 0;
|
||||
} else if (lquery) {
|
||||
goto L10;
|
||||
goto L10;
|
||||
}
|
||||
|
||||
/* Quick return if possible. */
|
||||
|
||||
if (*m == 0 || *n == 0) {
|
||||
*rank = 0;
|
||||
return 0;
|
||||
*rank = 0;
|
||||
return 0;
|
||||
}
|
||||
|
||||
/* Get machine parameters. */
|
||||
@ -523,26 +523,26 @@ f"> */
|
||||
|
||||
/* Scale matrix norm up to SMLNUM. */
|
||||
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anrm, &smlnum, m, n, &a[a_offset], lda,
|
||||
info, (ftnlen)1);
|
||||
iascl = 1;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anrm, &smlnum, m, n, &a[a_offset], lda,
|
||||
info, (ftnlen)1);
|
||||
iascl = 1;
|
||||
} else if (anrm > bignum) {
|
||||
|
||||
/* Scale matrix norm down to BIGNUM. */
|
||||
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anrm, &bignum, m, n, &a[a_offset], lda,
|
||||
info, (ftnlen)1);
|
||||
iascl = 2;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anrm, &bignum, m, n, &a[a_offset], lda,
|
||||
info, (ftnlen)1);
|
||||
iascl = 2;
|
||||
} else if (anrm == 0.) {
|
||||
|
||||
/* Matrix all zero. Return zero solution. */
|
||||
|
||||
i__1 = max(*m,*n);
|
||||
dlaset_((char *)"F", &i__1, nrhs, &c_b82, &c_b82, &b[b_offset], ldb, (ftnlen)
|
||||
1);
|
||||
dlaset_((char *)"F", &minmn, &c__1, &c_b82, &c_b82, &s[1], &c__1, (ftnlen)1);
|
||||
*rank = 0;
|
||||
goto L10;
|
||||
i__1 = max(*m,*n);
|
||||
dlaset_((char *)"F", &i__1, nrhs, &c_b82, &c_b82, &b[b_offset], ldb, (ftnlen)
|
||||
1);
|
||||
dlaset_((char *)"F", &minmn, &c__1, &c_b82, &c_b82, &s[1], &c__1, (ftnlen)1);
|
||||
*rank = 0;
|
||||
goto L10;
|
||||
}
|
||||
|
||||
/* Scale B if max entry outside range [SMLNUM,BIGNUM]. */
|
||||
@ -553,24 +553,24 @@ f"> */
|
||||
|
||||
/* Scale matrix norm up to SMLNUM. */
|
||||
|
||||
dlascl_((char *)"G", &c__0, &c__0, &bnrm, &smlnum, m, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
ibscl = 1;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &bnrm, &smlnum, m, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
ibscl = 1;
|
||||
} else if (bnrm > bignum) {
|
||||
|
||||
/* Scale matrix norm down to BIGNUM. */
|
||||
|
||||
dlascl_((char *)"G", &c__0, &c__0, &bnrm, &bignum, m, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
ibscl = 2;
|
||||
dlascl_((char *)"G", &c__0, &c__0, &bnrm, &bignum, m, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
ibscl = 2;
|
||||
}
|
||||
|
||||
/* If M < N make sure certain entries of B are zero. */
|
||||
|
||||
if (*m < *n) {
|
||||
i__1 = *n - *m;
|
||||
dlaset_((char *)"F", &i__1, nrhs, &c_b82, &c_b82, &b[*m + 1 + b_dim1], ldb, (
|
||||
ftnlen)1);
|
||||
i__1 = *n - *m;
|
||||
dlaset_((char *)"F", &i__1, nrhs, &c_b82, &c_b82, &b[*m + 1 + b_dim1], ldb, (
|
||||
ftnlen)1);
|
||||
}
|
||||
|
||||
/* Overdetermined case. */
|
||||
@ -579,227 +579,227 @@ f"> */
|
||||
|
||||
/* Path 1 - overdetermined or exactly determined. */
|
||||
|
||||
mm = *m;
|
||||
if (*m >= mnthr) {
|
||||
mm = *m;
|
||||
if (*m >= mnthr) {
|
||||
|
||||
/* Path 1a - overdetermined, with many more rows than columns. */
|
||||
|
||||
mm = *n;
|
||||
itau = 1;
|
||||
nwork = itau + *n;
|
||||
mm = *n;
|
||||
itau = 1;
|
||||
nwork = itau + *n;
|
||||
|
||||
/* Compute A=Q*R. */
|
||||
/* (Workspace: need 2*N, prefer N+N*NB) */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dgeqrf_(m, n, &a[a_offset], lda, &work[itau], &work[nwork], &i__1,
|
||||
info);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dgeqrf_(m, n, &a[a_offset], lda, &work[itau], &work[nwork], &i__1,
|
||||
info);
|
||||
|
||||
/* Multiply B by transpose(Q). */
|
||||
/* (Workspace: need N+NRHS, prefer N+NRHS*NB) */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormqr_((char *)"L", (char *)"T", m, nrhs, n, &a[a_offset], lda, &work[itau], &b[
|
||||
b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1, (
|
||||
ftnlen)1);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormqr_((char *)"L", (char *)"T", m, nrhs, n, &a[a_offset], lda, &work[itau], &b[
|
||||
b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1, (
|
||||
ftnlen)1);
|
||||
|
||||
/* Zero out below R. */
|
||||
|
||||
if (*n > 1) {
|
||||
i__1 = *n - 1;
|
||||
i__2 = *n - 1;
|
||||
dlaset_((char *)"L", &i__1, &i__2, &c_b82, &c_b82, &a[a_dim1 + 2],
|
||||
lda, (ftnlen)1);
|
||||
}
|
||||
}
|
||||
if (*n > 1) {
|
||||
i__1 = *n - 1;
|
||||
i__2 = *n - 1;
|
||||
dlaset_((char *)"L", &i__1, &i__2, &c_b82, &c_b82, &a[a_dim1 + 2],
|
||||
lda, (ftnlen)1);
|
||||
}
|
||||
}
|
||||
|
||||
ie = 1;
|
||||
itauq = ie + *n;
|
||||
itaup = itauq + *n;
|
||||
nwork = itaup + *n;
|
||||
ie = 1;
|
||||
itauq = ie + *n;
|
||||
itaup = itauq + *n;
|
||||
nwork = itaup + *n;
|
||||
|
||||
/* Bidiagonalize R in A. */
|
||||
/* (Workspace: need 3*N+MM, prefer 3*N+(MM+N)*NB) */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dgebrd_(&mm, n, &a[a_offset], lda, &s[1], &work[ie], &work[itauq], &
|
||||
work[itaup], &work[nwork], &i__1, info);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dgebrd_(&mm, n, &a[a_offset], lda, &s[1], &work[ie], &work[itauq], &
|
||||
work[itaup], &work[nwork], &i__1, info);
|
||||
|
||||
/* Multiply B by transpose of left bidiagonalizing vectors of R. */
|
||||
/* (Workspace: need 3*N+NRHS, prefer 3*N+NRHS*NB) */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"Q", (char *)"L", (char *)"T", &mm, nrhs, n, &a[a_offset], lda, &work[itauq],
|
||||
&b[b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1, (
|
||||
ftnlen)1, (ftnlen)1);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"Q", (char *)"L", (char *)"T", &mm, nrhs, n, &a[a_offset], lda, &work[itauq],
|
||||
&b[b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1, (
|
||||
ftnlen)1, (ftnlen)1);
|
||||
|
||||
/* Solve the bidiagonal least squares problem. */
|
||||
|
||||
dlalsd_((char *)"U", &smlsiz, n, nrhs, &s[1], &work[ie], &b[b_offset], ldb,
|
||||
rcond, rank, &work[nwork], &iwork[1], info, (ftnlen)1);
|
||||
if (*info != 0) {
|
||||
goto L10;
|
||||
}
|
||||
dlalsd_((char *)"U", &smlsiz, n, nrhs, &s[1], &work[ie], &b[b_offset], ldb,
|
||||
rcond, rank, &work[nwork], &iwork[1], info, (ftnlen)1);
|
||||
if (*info != 0) {
|
||||
goto L10;
|
||||
}
|
||||
|
||||
/* Multiply B by right bidiagonalizing vectors of R. */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"P", (char *)"L", (char *)"N", n, nrhs, n, &a[a_offset], lda, &work[itaup], &
|
||||
b[b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1, (
|
||||
ftnlen)1, (ftnlen)1);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"P", (char *)"L", (char *)"N", n, nrhs, n, &a[a_offset], lda, &work[itaup], &
|
||||
b[b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1, (
|
||||
ftnlen)1, (ftnlen)1);
|
||||
|
||||
} else /* if(complicated condition) */ {
|
||||
/* Computing MAX */
|
||||
i__1 = *m, i__2 = (*m << 1) - 4, i__1 = max(i__1,i__2), i__1 = max(
|
||||
i__1,*nrhs), i__2 = *n - *m * 3, i__1 = max(i__1,i__2);
|
||||
if (*n >= mnthr && *lwork >= (*m << 2) + *m * *m + max(i__1,wlalsd)) {
|
||||
i__1 = *m, i__2 = (*m << 1) - 4, i__1 = max(i__1,i__2), i__1 = max(
|
||||
i__1,*nrhs), i__2 = *n - *m * 3, i__1 = max(i__1,i__2);
|
||||
if (*n >= mnthr && *lwork >= (*m << 2) + *m * *m + max(i__1,wlalsd)) {
|
||||
|
||||
/* Path 2a - underdetermined, with many more columns than rows */
|
||||
/* and sufficient workspace for an efficient algorithm. */
|
||||
|
||||
ldwork = *m;
|
||||
ldwork = *m;
|
||||
/* Computing MAX */
|
||||
/* Computing MAX */
|
||||
i__3 = *m, i__4 = (*m << 1) - 4, i__3 = max(i__3,i__4), i__3 =
|
||||
max(i__3,*nrhs), i__4 = *n - *m * 3;
|
||||
i__1 = (*m << 2) + *m * *lda + max(i__3,i__4), i__2 = *m * *lda +
|
||||
*m + *m * *nrhs, i__1 = max(i__1,i__2), i__2 = (*m << 2)
|
||||
+ *m * *lda + wlalsd;
|
||||
if (*lwork >= max(i__1,i__2)) {
|
||||
ldwork = *lda;
|
||||
}
|
||||
itau = 1;
|
||||
nwork = *m + 1;
|
||||
i__3 = *m, i__4 = (*m << 1) - 4, i__3 = max(i__3,i__4), i__3 =
|
||||
max(i__3,*nrhs), i__4 = *n - *m * 3;
|
||||
i__1 = (*m << 2) + *m * *lda + max(i__3,i__4), i__2 = *m * *lda +
|
||||
*m + *m * *nrhs, i__1 = max(i__1,i__2), i__2 = (*m << 2)
|
||||
+ *m * *lda + wlalsd;
|
||||
if (*lwork >= max(i__1,i__2)) {
|
||||
ldwork = *lda;
|
||||
}
|
||||
itau = 1;
|
||||
nwork = *m + 1;
|
||||
|
||||
/* Compute A=L*Q. */
|
||||
/* (Workspace: need 2*M, prefer M+M*NB) */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dgelqf_(m, n, &a[a_offset], lda, &work[itau], &work[nwork], &i__1,
|
||||
info);
|
||||
il = nwork;
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dgelqf_(m, n, &a[a_offset], lda, &work[itau], &work[nwork], &i__1,
|
||||
info);
|
||||
il = nwork;
|
||||
|
||||
/* Copy L to WORK(IL), zeroing out above its diagonal. */
|
||||
|
||||
dlacpy_((char *)"L", m, m, &a[a_offset], lda, &work[il], &ldwork, (ftnlen)
|
||||
1);
|
||||
i__1 = *m - 1;
|
||||
i__2 = *m - 1;
|
||||
dlaset_((char *)"U", &i__1, &i__2, &c_b82, &c_b82, &work[il + ldwork], &
|
||||
ldwork, (ftnlen)1);
|
||||
ie = il + ldwork * *m;
|
||||
itauq = ie + *m;
|
||||
itaup = itauq + *m;
|
||||
nwork = itaup + *m;
|
||||
dlacpy_((char *)"L", m, m, &a[a_offset], lda, &work[il], &ldwork, (ftnlen)
|
||||
1);
|
||||
i__1 = *m - 1;
|
||||
i__2 = *m - 1;
|
||||
dlaset_((char *)"U", &i__1, &i__2, &c_b82, &c_b82, &work[il + ldwork], &
|
||||
ldwork, (ftnlen)1);
|
||||
ie = il + ldwork * *m;
|
||||
itauq = ie + *m;
|
||||
itaup = itauq + *m;
|
||||
nwork = itaup + *m;
|
||||
|
||||
/* Bidiagonalize L in WORK(IL). */
|
||||
/* (Workspace: need M*M+5*M, prefer M*M+4*M+2*M*NB) */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dgebrd_(m, m, &work[il], &ldwork, &s[1], &work[ie], &work[itauq],
|
||||
&work[itaup], &work[nwork], &i__1, info);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dgebrd_(m, m, &work[il], &ldwork, &s[1], &work[ie], &work[itauq],
|
||||
&work[itaup], &work[nwork], &i__1, info);
|
||||
|
||||
/* Multiply B by transpose of left bidiagonalizing vectors of L. */
|
||||
/* (Workspace: need M*M+4*M+NRHS, prefer M*M+4*M+NRHS*NB) */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"Q", (char *)"L", (char *)"T", m, nrhs, m, &work[il], &ldwork, &work[
|
||||
itauq], &b[b_offset], ldb, &work[nwork], &i__1, info, (
|
||||
ftnlen)1, (ftnlen)1, (ftnlen)1);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"Q", (char *)"L", (char *)"T", m, nrhs, m, &work[il], &ldwork, &work[
|
||||
itauq], &b[b_offset], ldb, &work[nwork], &i__1, info, (
|
||||
ftnlen)1, (ftnlen)1, (ftnlen)1);
|
||||
|
||||
/* Solve the bidiagonal least squares problem. */
|
||||
|
||||
dlalsd_((char *)"U", &smlsiz, m, nrhs, &s[1], &work[ie], &b[b_offset],
|
||||
ldb, rcond, rank, &work[nwork], &iwork[1], info, (ftnlen)
|
||||
1);
|
||||
if (*info != 0) {
|
||||
goto L10;
|
||||
}
|
||||
dlalsd_((char *)"U", &smlsiz, m, nrhs, &s[1], &work[ie], &b[b_offset],
|
||||
ldb, rcond, rank, &work[nwork], &iwork[1], info, (ftnlen)
|
||||
1);
|
||||
if (*info != 0) {
|
||||
goto L10;
|
||||
}
|
||||
|
||||
/* Multiply B by right bidiagonalizing vectors of L. */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"P", (char *)"L", (char *)"N", m, nrhs, m, &work[il], &ldwork, &work[
|
||||
itaup], &b[b_offset], ldb, &work[nwork], &i__1, info, (
|
||||
ftnlen)1, (ftnlen)1, (ftnlen)1);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"P", (char *)"L", (char *)"N", m, nrhs, m, &work[il], &ldwork, &work[
|
||||
itaup], &b[b_offset], ldb, &work[nwork], &i__1, info, (
|
||||
ftnlen)1, (ftnlen)1, (ftnlen)1);
|
||||
|
||||
/* Zero out below first M rows of B. */
|
||||
|
||||
i__1 = *n - *m;
|
||||
dlaset_((char *)"F", &i__1, nrhs, &c_b82, &c_b82, &b[*m + 1 + b_dim1],
|
||||
ldb, (ftnlen)1);
|
||||
nwork = itau + *m;
|
||||
i__1 = *n - *m;
|
||||
dlaset_((char *)"F", &i__1, nrhs, &c_b82, &c_b82, &b[*m + 1 + b_dim1],
|
||||
ldb, (ftnlen)1);
|
||||
nwork = itau + *m;
|
||||
|
||||
/* Multiply transpose(Q) by B. */
|
||||
/* (Workspace: need M+NRHS, prefer M+NRHS*NB) */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormlq_((char *)"L", (char *)"T", n, nrhs, m, &a[a_offset], lda, &work[itau], &b[
|
||||
b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1, (
|
||||
ftnlen)1);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormlq_((char *)"L", (char *)"T", n, nrhs, m, &a[a_offset], lda, &work[itau], &b[
|
||||
b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1, (
|
||||
ftnlen)1);
|
||||
|
||||
} else {
|
||||
} else {
|
||||
|
||||
/* Path 2 - remaining underdetermined cases. */
|
||||
|
||||
ie = 1;
|
||||
itauq = ie + *m;
|
||||
itaup = itauq + *m;
|
||||
nwork = itaup + *m;
|
||||
ie = 1;
|
||||
itauq = ie + *m;
|
||||
itaup = itauq + *m;
|
||||
nwork = itaup + *m;
|
||||
|
||||
/* Bidiagonalize A. */
|
||||
/* (Workspace: need 3*M+N, prefer 3*M+(M+N)*NB) */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dgebrd_(m, n, &a[a_offset], lda, &s[1], &work[ie], &work[itauq], &
|
||||
work[itaup], &work[nwork], &i__1, info);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dgebrd_(m, n, &a[a_offset], lda, &s[1], &work[ie], &work[itauq], &
|
||||
work[itaup], &work[nwork], &i__1, info);
|
||||
|
||||
/* Multiply B by transpose of left bidiagonalizing vectors. */
|
||||
/* (Workspace: need 3*M+NRHS, prefer 3*M+NRHS*NB) */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"Q", (char *)"L", (char *)"T", m, nrhs, n, &a[a_offset], lda, &work[itauq]
|
||||
, &b[b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1,
|
||||
(ftnlen)1, (ftnlen)1);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"Q", (char *)"L", (char *)"T", m, nrhs, n, &a[a_offset], lda, &work[itauq]
|
||||
, &b[b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1,
|
||||
(ftnlen)1, (ftnlen)1);
|
||||
|
||||
/* Solve the bidiagonal least squares problem. */
|
||||
|
||||
dlalsd_((char *)"L", &smlsiz, m, nrhs, &s[1], &work[ie], &b[b_offset],
|
||||
ldb, rcond, rank, &work[nwork], &iwork[1], info, (ftnlen)
|
||||
1);
|
||||
if (*info != 0) {
|
||||
goto L10;
|
||||
}
|
||||
dlalsd_((char *)"L", &smlsiz, m, nrhs, &s[1], &work[ie], &b[b_offset],
|
||||
ldb, rcond, rank, &work[nwork], &iwork[1], info, (ftnlen)
|
||||
1);
|
||||
if (*info != 0) {
|
||||
goto L10;
|
||||
}
|
||||
|
||||
/* Multiply B by right bidiagonalizing vectors of A. */
|
||||
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"P", (char *)"L", (char *)"N", n, nrhs, m, &a[a_offset], lda, &work[itaup]
|
||||
, &b[b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1,
|
||||
(ftnlen)1, (ftnlen)1);
|
||||
i__1 = *lwork - nwork + 1;
|
||||
dormbr_((char *)"P", (char *)"L", (char *)"N", n, nrhs, m, &a[a_offset], lda, &work[itaup]
|
||||
, &b[b_offset], ldb, &work[nwork], &i__1, info, (ftnlen)1,
|
||||
(ftnlen)1, (ftnlen)1);
|
||||
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/* Undo scaling. */
|
||||
|
||||
if (iascl == 1) {
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anrm, &smlnum, n, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
dlascl_((char *)"G", &c__0, &c__0, &smlnum, &anrm, &minmn, &c__1, &s[1], &
|
||||
minmn, info, (ftnlen)1);
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anrm, &smlnum, n, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
dlascl_((char *)"G", &c__0, &c__0, &smlnum, &anrm, &minmn, &c__1, &s[1], &
|
||||
minmn, info, (ftnlen)1);
|
||||
} else if (iascl == 2) {
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anrm, &bignum, n, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
dlascl_((char *)"G", &c__0, &c__0, &bignum, &anrm, &minmn, &c__1, &s[1], &
|
||||
minmn, info, (ftnlen)1);
|
||||
dlascl_((char *)"G", &c__0, &c__0, &anrm, &bignum, n, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
dlascl_((char *)"G", &c__0, &c__0, &bignum, &anrm, &minmn, &c__1, &s[1], &
|
||||
minmn, info, (ftnlen)1);
|
||||
}
|
||||
if (ibscl == 1) {
|
||||
dlascl_((char *)"G", &c__0, &c__0, &smlnum, &bnrm, n, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
dlascl_((char *)"G", &c__0, &c__0, &smlnum, &bnrm, n, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
} else if (ibscl == 2) {
|
||||
dlascl_((char *)"G", &c__0, &c__0, &bignum, &bnrm, n, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
dlascl_((char *)"G", &c__0, &c__0, &bignum, &bnrm, n, nrhs, &b[b_offset], ldb,
|
||||
info, (ftnlen)1);
|
||||
}
|
||||
|
||||
L10:
|
||||
@ -812,5 +812,5 @@ L10:
|
||||
} /* dgelsd_ */
|
||||
|
||||
#ifdef __cplusplus
|
||||
}
|
||||
}
|
||||
#endif
|
||||
|
||||
Reference in New Issue
Block a user