[] add metering mode to CLI

1 files changed, 1609 insertions, 0 deletions

diff --git a/contrib/libs/clapack/dgesdd.c b/contrib/libs/clapack/dgesdd.c
new file mode 100644
index 0000000000..9a1283018a
--- /dev/null
+++ b/contrib/libs/clapack/dgesdd.c
@@ -0,0 +1,1609 @@
+/* dgesdd.f -- translated by f2c (version 20061008).
+   You must link the resulting object file with libf2c:
+	on Microsoft Windows system, link with libf2c.lib;
+	on Linux or Unix systems, link with .../path/to/libf2c.a -lm
+	or, if you install libf2c.a in a standard place, with -lf2c -lm
+	-- in that order, at the end of the command line, as in
+		cc *.o -lf2c -lm
+	Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
+
+		http://www.netlib.org/f2c/libf2c.zip
+*/
+
+#include "f2c.h"
+#include "blaswrap.h"
+
+/* Table of constant values */
+
+static integer c__1 = 1;
+static integer c_n1 = -1;
+static integer c__0 = 0;
+static doublereal c_b227 = 0.;
+static doublereal c_b248 = 1.;
+
+/* Subroutine */ int dgesdd_(char *jobz, integer *m, integer *n, doublereal *
+	a, integer *lda, doublereal *s, doublereal *u, integer *ldu, 
+	doublereal *vt, integer *ldvt, doublereal *work, integer *lwork, 
+	integer *iwork, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, u_dim1, u_offset, vt_dim1, vt_offset, i__1, 
+	    i__2, i__3;
+
+    /* Builtin functions */
+    double sqrt(doublereal);
+
+    /* Local variables */
+    integer i__, ie, il, ir, iu, blk;
+    doublereal dum[1], eps;
+    integer ivt, iscl;
+    doublereal anrm;
+    integer idum[1], ierr, itau;
+    extern /* Subroutine */ int dgemm_(char *, char *, integer *, integer *, 
+	    integer *, doublereal *, doublereal *, integer *, doublereal *, 
+	    integer *, doublereal *, doublereal *, integer *);
+    extern logical lsame_(char *, char *);
+    integer chunk, minmn, wrkbl, itaup, itauq, mnthr;
+    logical wntqa;
+    integer nwork;
+    logical wntqn, wntqo, wntqs;
+    extern /* Subroutine */ int dbdsdc_(char *, char *, integer *, doublereal 
+	    *, doublereal *, doublereal *, integer *, doublereal *, integer *, 
+	     doublereal *, integer *, doublereal *, integer *, integer *), dgebrd_(integer *, integer *, doublereal *, 
+	    integer *, doublereal *, doublereal *, doublereal *, doublereal *, 
+	     doublereal *, integer *, integer *);
+    extern doublereal dlamch_(char *), dlange_(char *, integer *, 
+	    integer *, doublereal *, integer *, doublereal *);
+    integer bdspac;
+    extern /* Subroutine */ int dgelqf_(integer *, integer *, doublereal *, 
+	    integer *, doublereal *, doublereal *, integer *, integer *), 
+	    dlascl_(char *, integer *, integer *, doublereal *, doublereal *, 
+	    integer *, integer *, doublereal *, integer *, integer *),
+	     dgeqrf_(integer *, integer *, doublereal *, integer *, 
+	    doublereal *, doublereal *, integer *, integer *), dlacpy_(char *, 
+	     integer *, integer *, doublereal *, integer *, doublereal *, 
+	    integer *), dlaset_(char *, integer *, integer *, 
+	    doublereal *, doublereal *, doublereal *, integer *), 
+	    xerbla_(char *, integer *), dorgbr_(char *, integer *, 
+	    integer *, integer *, doublereal *, integer *, doublereal *, 
+	    doublereal *, integer *, integer *);
+    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
+	    integer *, integer *);
+    doublereal bignum;
+    extern /* Subroutine */ int dormbr_(char *, char *, char *, integer *, 
+	    integer *, integer *, doublereal *, integer *, doublereal *, 
+	    doublereal *, integer *, doublereal *, integer *, integer *), dorglq_(integer *, integer *, integer *, 
+	    doublereal *, integer *, doublereal *, doublereal *, integer *, 
+	    integer *), dorgqr_(integer *, integer *, integer *, doublereal *, 
+	     integer *, doublereal *, doublereal *, integer *, integer *);
+    integer ldwrkl, ldwrkr, minwrk, ldwrku, maxwrk, ldwkvt;
+    doublereal smlnum;
+    logical wntqas, lquery;
+
+
+/*  -- LAPACK driver routine (version 3.2.1)                                  -- */
+/*  -- LAPACK is a software package provided by Univ. of Tennessee,    -- */
+/*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
+/*     March 2009 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  DGESDD computes the singular value decomposition (SVD) of a real */
+/*  M-by-N matrix A, optionally computing the left and right singular */
+/*  vectors.  If singular vectors are desired, it uses a */
+/*  divide-and-conquer algorithm. */
+
+/*  The SVD is written */
+
+/*       A = U * SIGMA * transpose(V) */
+
+/*  where SIGMA is an M-by-N matrix which is zero except for its */
+/*  min(m,n) diagonal elements, U is an M-by-M orthogonal matrix, and */
+/*  V is an N-by-N orthogonal matrix.  The diagonal elements of SIGMA */
+/*  are the singular values of A; they are real and non-negative, and */
+/*  are returned in descending order.  The first min(m,n) columns of */
+/*  U and V are the left and right singular vectors of A. */
+
+/*  Note that the routine returns VT = V**T, not V. */
+
+/*  The divide and conquer algorithm makes very mild assumptions about */
+/*  floating point arithmetic. It will work on machines with a guard */
+/*  digit in add/subtract, or on those binary machines without guard */
+/*  digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or */
+/*  Cray-2. It could conceivably fail on hexadecimal or decimal machines */
+/*  without guard digits, but we know of none. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  JOBZ    (input) CHARACTER*1 */
+/*          Specifies options for computing all or part of the matrix U: */
+/*          = 'A':  all M columns of U and all N rows of V**T are */
+/*                  returned in the arrays U and VT; */
+/*          = 'S':  the first min(M,N) columns of U and the first */
+/*                  min(M,N) rows of V**T are returned in the arrays U */
+/*                  and VT; */
+/*          = 'O':  If M >= N, the first N columns of U are overwritten */
+/*                  on the array A and all rows of V**T are returned in */
+/*                  the array VT; */
+/*                  otherwise, all columns of U are returned in the */
+/*                  array U and the first M rows of V**T are overwritten */
+/*                  in the array A; */
+/*          = 'N':  no columns of U or rows of V**T are computed. */
+
+/*  M       (input) INTEGER */
+/*          The number of rows of the input matrix A.  M >= 0. */
+
+/*  N       (input) INTEGER */
+/*          The number of columns of the input matrix A.  N >= 0. */
+
+/*  A       (input/output) DOUBLE PRECISION array, dimension (LDA,N) */
+/*          On entry, the M-by-N matrix A. */
+/*          On exit, */
+/*          if JOBZ = 'O',  A is overwritten with the first N columns */
+/*                          of U (the left singular vectors, stored */
+/*                          columnwise) if M >= N; */
+/*                          A is overwritten with the first M rows */
+/*                          of V**T (the right singular vectors, stored */
+/*                          rowwise) otherwise. */
+/*          if JOBZ .ne. 'O', the contents of A are destroyed. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A.  LDA >= max(1,M). */
+
+/*  S       (output) DOUBLE PRECISION array, dimension (min(M,N)) */
+/*          The singular values of A, sorted so that S(i) >= S(i+1). */
+
+/*  U       (output) DOUBLE PRECISION array, dimension (LDU,UCOL) */
+/*          UCOL = M if JOBZ = 'A' or JOBZ = 'O' and M < N; */
+/*          UCOL = min(M,N) if JOBZ = 'S'. */
+/*          If JOBZ = 'A' or JOBZ = 'O' and M < N, U contains the M-by-M */
+/*          orthogonal matrix U; */
+/*          if JOBZ = 'S', U contains the first min(M,N) columns of U */
+/*          (the left singular vectors, stored columnwise); */
+/*          if JOBZ = 'O' and M >= N, or JOBZ = 'N', U is not referenced. */
+
+/*  LDU     (input) INTEGER */
+/*          The leading dimension of the array U.  LDU >= 1; if */
+/*          JOBZ = 'S' or 'A' or JOBZ = 'O' and M < N, LDU >= M. */
+
+/*  VT      (output) DOUBLE PRECISION array, dimension (LDVT,N) */
+/*          If JOBZ = 'A' or JOBZ = 'O' and M >= N, VT contains the */
+/*          N-by-N orthogonal matrix V**T; */
+/*          if JOBZ = 'S', VT contains the first min(M,N) rows of */
+/*          V**T (the right singular vectors, stored rowwise); */
+/*          if JOBZ = 'O' and M < N, or JOBZ = 'N', VT is not referenced. */
+
+/*  LDVT    (input) INTEGER */
+/*          The leading dimension of the array VT.  LDVT >= 1; if */
+/*          JOBZ = 'A' or JOBZ = 'O' and M >= N, LDVT >= N; */
+/*          if JOBZ = 'S', LDVT >= min(M,N). */
+
+/*  WORK    (workspace/output) DOUBLE PRECISION array, dimension (MAX(1,LWORK)) */
+/*          On exit, if INFO = 0, WORK(1) returns the optimal LWORK; */
+
+/*  LWORK   (input) INTEGER */
+/*          The dimension of the array WORK. LWORK >= 1. */
+/*          If JOBZ = 'N', */
+/*            LWORK >= 3*min(M,N) + max(max(M,N),7*min(M,N)). */
+/*          If JOBZ = 'O', */
+/*            LWORK >= 3*min(M,N) + */
+/*                     max(max(M,N),5*min(M,N)*min(M,N)+4*min(M,N)). */
+/*          If JOBZ = 'S' or 'A' */
+/*            LWORK >= 3*min(M,N) + */
+/*                     max(max(M,N),4*min(M,N)*min(M,N)+4*min(M,N)). */
+/*          For good performance, LWORK should generally be larger. */
+/*          If LWORK = -1 but other input arguments are legal, WORK(1) */
+/*          returns the optimal LWORK. */
+
+/*  IWORK   (workspace) INTEGER array, dimension (8*min(M,N)) */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit. */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value. */
+/*          > 0:  DBDSDC did not converge, updating process failed. */
+
+/*  Further Details */
+/*  =============== */
+
+/*  Based on contributions by */
+/*     Ming Gu and Huan Ren, Computer Science Division, University of */
+/*     California at Berkeley, USA */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. Local Arrays .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. External Functions .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input arguments */
+
+    /* Parameter adjustments */
+    a_dim1 = *lda;
+    a_offset = 1 + a_dim1;
+    a -= a_offset;
+    --s;
+    u_dim1 = *ldu;
+    u_offset = 1 + u_dim1;
+    u -= u_offset;
+    vt_dim1 = *ldvt;
+    vt_offset = 1 + vt_dim1;
+    vt -= vt_offset;
+    --work;
+    --iwork;
+
+    /* Function Body */
+    *info = 0;
+    minmn = min(*m,*n);
+    wntqa = lsame_(jobz, "A");
+    wntqs = lsame_(jobz, "S");
+    wntqas = wntqa || wntqs;
+    wntqo = lsame_(jobz, "O");
+    wntqn = lsame_(jobz, "N");
+    lquery = *lwork == -1;
+
+    if (! (wntqa || wntqs || wntqo || wntqn)) {
+	*info = -1;
+    } else if (*m < 0) {
+	*info = -2;
+    } else if (*n < 0) {
+	*info = -3;
+    } else if (*lda < max(1,*m)) {
+	*info = -5;
+    } else if (*ldu < 1 || wntqas && *ldu < *m || wntqo && *m < *n && *ldu < *
+	    m) {
+	*info = -8;
+    } else if (*ldvt < 1 || wntqa && *ldvt < *n || wntqs && *ldvt < minmn || 
+	    wntqo && *m >= *n && *ldvt < *n) {
+	*info = -10;
+    }
+
+/*     Compute workspace */
+/*      (Note: Comments in the code beginning "Workspace:" describe the */
+/*       minimal amount of workspace needed at that point in the code, */
+/*       as well as the preferred amount for good performance. */
+/*       NB refers to the optimal block size for the immediately */
+/*       following subroutine, as returned by ILAENV.) */
+
+    if (*info == 0) {
+	minwrk = 1;
+	maxwrk = 1;
+	if (*m >= *n && minmn > 0) {
+
+/*           Compute space needed for DBDSDC */
+
+	    mnthr = (integer) (minmn * 11. / 6.);
+	    if (wntqn) {
+		bdspac = *n * 7;
+	    } else {
+		bdspac = *n * 3 * *n + (*n << 2);
+	    }
+	    if (*m >= mnthr) {
+		if (wntqn) {
+
+/*                 Path 1 (M much larger than N, JOBZ='N') */
+
+		    wrkbl = *n + *n * ilaenv_(&c__1, "DGEQRF", " ", m, n, &
+			    c_n1, &c_n1);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + (*n << 1) * ilaenv_(&c__1, 
+			    "DGEBRD", " ", n, n, &c_n1, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *n;
+		    maxwrk = max(i__1,i__2);
+		    minwrk = bdspac + *n;
+		} else if (wntqo) {
+
+/*                 Path 2 (M much larger than N, JOBZ='O') */
+
+		    wrkbl = *n + *n * ilaenv_(&c__1, "DGEQRF", " ", m, n, &
+			    c_n1, &c_n1);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n + *n * ilaenv_(&c__1, "DORGQR", 
+			    " ", m, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + (*n << 1) * ilaenv_(&c__1, 
+			    "DGEBRD", " ", n, n, &c_n1, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *n * ilaenv_(&c__1, "DORMBR"
+, "QLN", n, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *n * ilaenv_(&c__1, "DORMBR"
+, "PRT", n, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *n * 3;
+		    wrkbl = max(i__1,i__2);
+		    maxwrk = wrkbl + (*n << 1) * *n;
+		    minwrk = bdspac + (*n << 1) * *n + *n * 3;
+		} else if (wntqs) {
+
+/*                 Path 3 (M much larger than N, JOBZ='S') */
+
+		    wrkbl = *n + *n * ilaenv_(&c__1, "DGEQRF", " ", m, n, &
+			    c_n1, &c_n1);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n + *n * ilaenv_(&c__1, "DORGQR", 
+			    " ", m, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + (*n << 1) * ilaenv_(&c__1, 
+			    "DGEBRD", " ", n, n, &c_n1, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *n * ilaenv_(&c__1, "DORMBR"
+, "QLN", n, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *n * ilaenv_(&c__1, "DORMBR"
+, "PRT", n, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *n * 3;
+		    wrkbl = max(i__1,i__2);
+		    maxwrk = wrkbl + *n * *n;
+		    minwrk = bdspac + *n * *n + *n * 3;
+		} else if (wntqa) {
+
+/*                 Path 4 (M much larger than N, JOBZ='A') */
+
+		    wrkbl = *n + *n * ilaenv_(&c__1, "DGEQRF", " ", m, n, &
+			    c_n1, &c_n1);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n + *m * ilaenv_(&c__1, "DORGQR", 
+			    " ", m, m, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + (*n << 1) * ilaenv_(&c__1, 
+			    "DGEBRD", " ", n, n, &c_n1, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *n * ilaenv_(&c__1, "DORMBR"
+, "QLN", n, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *n * ilaenv_(&c__1, "DORMBR"
+, "PRT", n, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *n * 3;
+		    wrkbl = max(i__1,i__2);
+		    maxwrk = wrkbl + *n * *n;
+		    minwrk = bdspac + *n * *n + *n * 3;
+		}
+	    } else {
+
+/*              Path 5 (M at least N, but not much larger) */
+
+		wrkbl = *n * 3 + (*m + *n) * ilaenv_(&c__1, "DGEBRD", " ", m, 
+			n, &c_n1, &c_n1);
+		if (wntqn) {
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *n * 3;
+		    maxwrk = max(i__1,i__2);
+		    minwrk = *n * 3 + max(*m,bdspac);
+		} else if (wntqo) {
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *n * ilaenv_(&c__1, "DORMBR"
+, "QLN", m, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *n * ilaenv_(&c__1, "DORMBR"
+, "PRT", n, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *n * 3;
+		    wrkbl = max(i__1,i__2);
+		    maxwrk = wrkbl + *m * *n;
+/* Computing MAX */
+		    i__1 = *m, i__2 = *n * *n + bdspac;
+		    minwrk = *n * 3 + max(i__1,i__2);
+		} else if (wntqs) {
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *n * ilaenv_(&c__1, "DORMBR"
+, "QLN", m, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *n * ilaenv_(&c__1, "DORMBR"
+, "PRT", n, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *n * 3;
+		    maxwrk = max(i__1,i__2);
+		    minwrk = *n * 3 + max(*m,bdspac);
+		} else if (wntqa) {
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "QLN", m, m, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *n * 3 + *n * ilaenv_(&c__1, "DORMBR"
+, "PRT", n, n, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = maxwrk, i__2 = bdspac + *n * 3;
+		    maxwrk = max(i__1,i__2);
+		    minwrk = *n * 3 + max(*m,bdspac);
+		}
+	    }
+	} else if (minmn > 0) {
+
+/*           Compute space needed for DBDSDC */
+
+	    mnthr = (integer) (minmn * 11. / 6.);
+	    if (wntqn) {
+		bdspac = *m * 7;
+	    } else {
+		bdspac = *m * 3 * *m + (*m << 2);
+	    }
+	    if (*n >= mnthr) {
+		if (wntqn) {
+
+/*                 Path 1t (N much larger than M, JOBZ='N') */
+
+		    wrkbl = *m + *m * ilaenv_(&c__1, "DGELQF", " ", m, n, &
+			    c_n1, &c_n1);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + (*m << 1) * ilaenv_(&c__1, 
+			    "DGEBRD", " ", m, m, &c_n1, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *m;
+		    maxwrk = max(i__1,i__2);
+		    minwrk = bdspac + *m;
+		} else if (wntqo) {
+
+/*                 Path 2t (N much larger than M, JOBZ='O') */
+
+		    wrkbl = *m + *m * ilaenv_(&c__1, "DGELQF", " ", m, n, &
+			    c_n1, &c_n1);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m + *m * ilaenv_(&c__1, "DORGLQ", 
+			    " ", m, n, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + (*m << 1) * ilaenv_(&c__1, 
+			    "DGEBRD", " ", m, m, &c_n1, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "QLN", m, m, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "PRT", m, m, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *m * 3;
+		    wrkbl = max(i__1,i__2);
+		    maxwrk = wrkbl + (*m << 1) * *m;
+		    minwrk = bdspac + (*m << 1) * *m + *m * 3;
+		} else if (wntqs) {
+
+/*                 Path 3t (N much larger than M, JOBZ='S') */
+
+		    wrkbl = *m + *m * ilaenv_(&c__1, "DGELQF", " ", m, n, &
+			    c_n1, &c_n1);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m + *m * ilaenv_(&c__1, "DORGLQ", 
+			    " ", m, n, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + (*m << 1) * ilaenv_(&c__1, 
+			    "DGEBRD", " ", m, m, &c_n1, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "QLN", m, m, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "PRT", m, m, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *m * 3;
+		    wrkbl = max(i__1,i__2);
+		    maxwrk = wrkbl + *m * *m;
+		    minwrk = bdspac + *m * *m + *m * 3;
+		} else if (wntqa) {
+
+/*                 Path 4t (N much larger than M, JOBZ='A') */
+
+		    wrkbl = *m + *m * ilaenv_(&c__1, "DGELQF", " ", m, n, &
+			    c_n1, &c_n1);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m + *n * ilaenv_(&c__1, "DORGLQ", 
+			    " ", n, n, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + (*m << 1) * ilaenv_(&c__1, 
+			    "DGEBRD", " ", m, m, &c_n1, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "QLN", m, m, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "PRT", m, m, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *m * 3;
+		    wrkbl = max(i__1,i__2);
+		    maxwrk = wrkbl + *m * *m;
+		    minwrk = bdspac + *m * *m + *m * 3;
+		}
+	    } else {
+
+/*              Path 5t (N greater than M, but not much larger) */
+
+		wrkbl = *m * 3 + (*m + *n) * ilaenv_(&c__1, "DGEBRD", " ", m, 
+			n, &c_n1, &c_n1);
+		if (wntqn) {
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *m * 3;
+		    maxwrk = max(i__1,i__2);
+		    minwrk = *m * 3 + max(*n,bdspac);
+		} else if (wntqo) {
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "QLN", m, m, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "PRT", m, n, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *m * 3;
+		    wrkbl = max(i__1,i__2);
+		    maxwrk = wrkbl + *m * *n;
+/* Computing MAX */
+		    i__1 = *n, i__2 = *m * *m + bdspac;
+		    minwrk = *m * 3 + max(i__1,i__2);
+		} else if (wntqs) {
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "QLN", m, m, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "PRT", m, n, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *m * 3;
+		    maxwrk = max(i__1,i__2);
+		    minwrk = *m * 3 + max(*n,bdspac);
+		} else if (wntqa) {
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "QLN", m, m, n, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = *m * 3 + *m * ilaenv_(&c__1, "DORMBR"
+, "PRT", n, n, m, &c_n1);
+		    wrkbl = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = wrkbl, i__2 = bdspac + *m * 3;
+		    maxwrk = max(i__1,i__2);
+		    minwrk = *m * 3 + max(*n,bdspac);
+		}
+	    }
+	}
+	maxwrk = max(maxwrk,minwrk);
+	work[1] = (doublereal) maxwrk;
+
+	if (*lwork < minwrk && ! lquery) {
+	    *info = -12;
+	}
+    }
+
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("DGESDD", &i__1);
+	return 0;
+    } else if (lquery) {
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*m == 0 || *n == 0) {
+	return 0;
+    }
+
+/*     Get machine constants */
+
+    eps = dlamch_("P");
+    smlnum = sqrt(dlamch_("S")) / eps;
+    bignum = 1. / smlnum;
+
+/*     Scale A if max element outside range [SMLNUM,BIGNUM] */
+
+    anrm = dlange_("M", m, n, &a[a_offset], lda, dum);
+    iscl = 0;
+    if (anrm > 0. && anrm < smlnum) {
+	iscl = 1;
+	dlascl_("G", &c__0, &c__0, &anrm, &smlnum, m, n, &a[a_offset], lda, &
+		ierr);
+    } else if (anrm > bignum) {
+	iscl = 1;
+	dlascl_("G", &c__0, &c__0, &anrm, &bignum, m, n, &a[a_offset], lda, &
+		ierr);
+    }
+
+    if (*m >= *n) {
+
+/*        A has at least as many rows as columns. If A has sufficiently */
+/*        more rows than columns, first reduce using the QR */
+/*        decomposition (if sufficient workspace available) */
+
+	if (*m >= mnthr) {
+
+	    if (wntqn) {
+
+/*              Path 1 (M much larger than N, JOBZ='N') */
+/*              No singular vectors to be computed */
+
+		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, &ierr);
+
+/*              Zero out below R */
+
+		i__1 = *n - 1;
+		i__2 = *n - 1;
+		dlaset_("L", &i__1, &i__2, &c_b227, &c_b227, &a[a_dim1 + 2], 
+			lda);
+		ie = 1;
+		itauq = ie + *n;
+		itaup = itauq + *n;
+		nwork = itaup + *n;
+
+/*              Bidiagonalize R in A */
+/*              (Workspace: need 4*N, prefer 3*N+2*N*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dgebrd_(n, n, &a[a_offset], lda, &s[1], &work[ie], &work[
+			itauq], &work[itaup], &work[nwork], &i__1, &ierr);
+		nwork = ie + *n;
+
+/*              Perform bidiagonal SVD, computing singular values only */
+/*              (Workspace: need N+BDSPAC) */
+
+		dbdsdc_("U", "N", n, &s[1], &work[ie], dum, &c__1, dum, &c__1, 
+			 dum, idum, &work[nwork], &iwork[1], info);
+
+	    } else if (wntqo) {
+
+/*              Path 2 (M much larger than N, JOBZ = 'O') */
+/*              N left singular vectors to be overwritten on A and */
+/*              N right singular vectors to be computed in VT */
+
+		ir = 1;
+
+/*              WORK(IR) is LDWRKR by N */
+
+		if (*lwork >= *lda * *n + *n * *n + *n * 3 + bdspac) {
+		    ldwrkr = *lda;
+		} else {
+		    ldwrkr = (*lwork - *n * *n - *n * 3 - bdspac) / *n;
+		}
+		itau = ir + ldwrkr * *n;
+		nwork = itau + *n;
+
+/*              Compute A=Q*R */
+/*              (Workspace: need N*N+2*N, prefer N*N+N+N*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dgeqrf_(m, n, &a[a_offset], lda, &work[itau], &work[nwork], &
+			i__1, &ierr);
+
+/*              Copy R to WORK(IR), zeroing out below it */
+
+		dlacpy_("U", n, n, &a[a_offset], lda, &work[ir], &ldwrkr);
+		i__1 = *n - 1;
+		i__2 = *n - 1;
+		dlaset_("L", &i__1, &i__2, &c_b227, &c_b227, &work[ir + 1], &
+			ldwrkr);
+
+/*              Generate Q in A */
+/*              (Workspace: need N*N+2*N, prefer N*N+N+N*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dorgqr_(m, n, n, &a[a_offset], lda, &work[itau], &work[nwork], 
+			 &i__1, &ierr);
+		ie = itau;
+		itauq = ie + *n;
+		itaup = itauq + *n;
+		nwork = itaup + *n;
+
+/*              Bidiagonalize R in VT, copying result to WORK(IR) */
+/*              (Workspace: need N*N+4*N, prefer N*N+3*N+2*N*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dgebrd_(n, n, &work[ir], &ldwrkr, &s[1], &work[ie], &work[
+			itauq], &work[itaup], &work[nwork], &i__1, &ierr);
+
+/*              WORK(IU) is N by N */
+
+		iu = nwork;
+		nwork = iu + *n * *n;
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagonal matrix in WORK(IU) and computing right */
+/*              singular vectors of bidiagonal matrix in VT */
+/*              (Workspace: need N+N*N+BDSPAC) */
+
+		dbdsdc_("U", "I", n, &s[1], &work[ie], &work[iu], n, &vt[
+			vt_offset], ldvt, dum, idum, &work[nwork], &iwork[1], 
+			info);
+
+/*              Overwrite WORK(IU) by left singular vectors of R */
+/*              and VT by right singular vectors of R */
+/*              (Workspace: need 2*N*N+3*N, prefer 2*N*N+2*N+N*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dormbr_("Q", "L", "N", n, n, n, &work[ir], &ldwrkr, &work[
+			itauq], &work[iu], n, &work[nwork], &i__1, &ierr);
+		i__1 = *lwork - nwork + 1;
+		dormbr_("P", "R", "T", n, n, n, &work[ir], &ldwrkr, &work[
+			itaup], &vt[vt_offset], ldvt, &work[nwork], &i__1, &
+			ierr);
+
+/*              Multiply Q in A by left singular vectors of R in */
+/*              WORK(IU), storing result in WORK(IR) and copying to A */
+/*              (Workspace: need 2*N*N, prefer N*N+M*N) */
+
+		i__1 = *m;
+		i__2 = ldwrkr;
+		for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += 
+			i__2) {
+/* Computing MIN */
+		    i__3 = *m - i__ + 1;
+		    chunk = min(i__3,ldwrkr);
+		    dgemm_("N", "N", &chunk, n, n, &c_b248, &a[i__ + a_dim1], 
+			    lda, &work[iu], n, &c_b227, &work[ir], &ldwrkr);
+		    dlacpy_("F", &chunk, n, &work[ir], &ldwrkr, &a[i__ + 
+			    a_dim1], lda);
+/* L10: */
+		}
+
+	    } else if (wntqs) {
+
+/*              Path 3 (M much larger than N, JOBZ='S') */
+/*              N left singular vectors to be computed in U and */
+/*              N right singular vectors to be computed in VT */
+
+		ir = 1;
+
+/*              WORK(IR) is N by N */
+
+		ldwrkr = *n;
+		itau = ir + ldwrkr * *n;
+		nwork = itau + *n;
+
+/*              Compute A=Q*R */
+/*              (Workspace: need N*N+2*N, prefer N*N+N+N*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dgeqrf_(m, n, &a[a_offset], lda, &work[itau], &work[nwork], &
+			i__2, &ierr);
+
+/*              Copy R to WORK(IR), zeroing out below it */
+
+		dlacpy_("U", n, n, &a[a_offset], lda, &work[ir], &ldwrkr);
+		i__2 = *n - 1;
+		i__1 = *n - 1;
+		dlaset_("L", &i__2, &i__1, &c_b227, &c_b227, &work[ir + 1], &
+			ldwrkr);
+
+/*              Generate Q in A */
+/*              (Workspace: need N*N+2*N, prefer N*N+N+N*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dorgqr_(m, n, n, &a[a_offset], lda, &work[itau], &work[nwork], 
+			 &i__2, &ierr);
+		ie = itau;
+		itauq = ie + *n;
+		itaup = itauq + *n;
+		nwork = itaup + *n;
+
+/*              Bidiagonalize R in WORK(IR) */
+/*              (Workspace: need N*N+4*N, prefer N*N+3*N+2*N*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dgebrd_(n, n, &work[ir], &ldwrkr, &s[1], &work[ie], &work[
+			itauq], &work[itaup], &work[nwork], &i__2, &ierr);
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagoal matrix in U and computing right singular */
+/*              vectors of bidiagonal matrix in VT */
+/*              (Workspace: need N+BDSPAC) */
+
+		dbdsdc_("U", "I", n, &s[1], &work[ie], &u[u_offset], ldu, &vt[
+			vt_offset], ldvt, dum, idum, &work[nwork], &iwork[1], 
+			info);
+
+/*              Overwrite U by left singular vectors of R and VT */
+/*              by right singular vectors of R */
+/*              (Workspace: need N*N+3*N, prefer N*N+2*N+N*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dormbr_("Q", "L", "N", n, n, n, &work[ir], &ldwrkr, &work[
+			itauq], &u[u_offset], ldu, &work[nwork], &i__2, &ierr);
+
+		i__2 = *lwork - nwork + 1;
+		dormbr_("P", "R", "T", n, n, n, &work[ir], &ldwrkr, &work[
+			itaup], &vt[vt_offset], ldvt, &work[nwork], &i__2, &
+			ierr);
+
+/*              Multiply Q in A by left singular vectors of R in */
+/*              WORK(IR), storing result in U */
+/*              (Workspace: need N*N) */
+
+		dlacpy_("F", n, n, &u[u_offset], ldu, &work[ir], &ldwrkr);
+		dgemm_("N", "N", m, n, n, &c_b248, &a[a_offset], lda, &work[
+			ir], &ldwrkr, &c_b227, &u[u_offset], ldu);
+
+	    } else if (wntqa) {
+
+/*              Path 4 (M much larger than N, JOBZ='A') */
+/*              M left singular vectors to be computed in U and */
+/*              N right singular vectors to be computed in VT */
+
+		iu = 1;
+
+/*              WORK(IU) is N by N */
+
+		ldwrku = *n;
+		itau = iu + ldwrku * *n;
+		nwork = itau + *n;
+
+/*              Compute A=Q*R, copying result to U */
+/*              (Workspace: need N*N+2*N, prefer N*N+N+N*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dgeqrf_(m, n, &a[a_offset], lda, &work[itau], &work[nwork], &
+			i__2, &ierr);
+		dlacpy_("L", m, n, &a[a_offset], lda, &u[u_offset], ldu);
+
+/*              Generate Q in U */
+/*              (Workspace: need N*N+2*N, prefer N*N+N+N*NB) */
+		i__2 = *lwork - nwork + 1;
+		dorgqr_(m, m, n, &u[u_offset], ldu, &work[itau], &work[nwork], 
+			 &i__2, &ierr);
+
+/*              Produce R in A, zeroing out other entries */
+
+		i__2 = *n - 1;
+		i__1 = *n - 1;
+		dlaset_("L", &i__2, &i__1, &c_b227, &c_b227, &a[a_dim1 + 2], 
+			lda);
+		ie = itau;
+		itauq = ie + *n;
+		itaup = itauq + *n;
+		nwork = itaup + *n;
+
+/*              Bidiagonalize R in A */
+/*              (Workspace: need N*N+4*N, prefer N*N+3*N+2*N*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dgebrd_(n, n, &a[a_offset], lda, &s[1], &work[ie], &work[
+			itauq], &work[itaup], &work[nwork], &i__2, &ierr);
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagonal matrix in WORK(IU) and computing right */
+/*              singular vectors of bidiagonal matrix in VT */
+/*              (Workspace: need N+N*N+BDSPAC) */
+
+		dbdsdc_("U", "I", n, &s[1], &work[ie], &work[iu], n, &vt[
+			vt_offset], ldvt, dum, idum, &work[nwork], &iwork[1], 
+			info);
+
+/*              Overwrite WORK(IU) by left singular vectors of R and VT */
+/*              by right singular vectors of R */
+/*              (Workspace: need N*N+3*N, prefer N*N+2*N+N*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dormbr_("Q", "L", "N", n, n, n, &a[a_offset], lda, &work[
+			itauq], &work[iu], &ldwrku, &work[nwork], &i__2, &
+			ierr);
+		i__2 = *lwork - nwork + 1;
+		dormbr_("P", "R", "T", n, n, n, &a[a_offset], lda, &work[
+			itaup], &vt[vt_offset], ldvt, &work[nwork], &i__2, &
+			ierr);
+
+/*              Multiply Q in U by left singular vectors of R in */
+/*              WORK(IU), storing result in A */
+/*              (Workspace: need N*N) */
+
+		dgemm_("N", "N", m, n, n, &c_b248, &u[u_offset], ldu, &work[
+			iu], &ldwrku, &c_b227, &a[a_offset], lda);
+
+/*              Copy left singular vectors of A from A to U */
+
+		dlacpy_("F", m, n, &a[a_offset], lda, &u[u_offset], ldu);
+
+	    }
+
+	} else {
+
+/*           M .LT. MNTHR */
+
+/*           Path 5 (M at least N, but not much larger) */
+/*           Reduce to bidiagonal form without QR decomposition */
+
+	    ie = 1;
+	    itauq = ie + *n;
+	    itaup = itauq + *n;
+	    nwork = itaup + *n;
+
+/*           Bidiagonalize A */
+/*           (Workspace: need 3*N+M, prefer 3*N+(M+N)*NB) */
+
+	    i__2 = *lwork - nwork + 1;
+	    dgebrd_(m, n, &a[a_offset], lda, &s[1], &work[ie], &work[itauq], &
+		    work[itaup], &work[nwork], &i__2, &ierr);
+	    if (wntqn) {
+
+/*              Perform bidiagonal SVD, only computing singular values */
+/*              (Workspace: need N+BDSPAC) */
+
+		dbdsdc_("U", "N", n, &s[1], &work[ie], dum, &c__1, dum, &c__1, 
+			 dum, idum, &work[nwork], &iwork[1], info);
+	    } else if (wntqo) {
+		iu = nwork;
+		if (*lwork >= *m * *n + *n * 3 + bdspac) {
+
+/*                 WORK( IU ) is M by N */
+
+		    ldwrku = *m;
+		    nwork = iu + ldwrku * *n;
+		    dlaset_("F", m, n, &c_b227, &c_b227, &work[iu], &ldwrku);
+		} else {
+
+/*                 WORK( IU ) is N by N */
+
+		    ldwrku = *n;
+		    nwork = iu + ldwrku * *n;
+
+/*                 WORK(IR) is LDWRKR by N */
+
+		    ir = nwork;
+		    ldwrkr = (*lwork - *n * *n - *n * 3) / *n;
+		}
+		nwork = iu + ldwrku * *n;
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagonal matrix in WORK(IU) and computing right */
+/*              singular vectors of bidiagonal matrix in VT */
+/*              (Workspace: need N+N*N+BDSPAC) */
+
+		dbdsdc_("U", "I", n, &s[1], &work[ie], &work[iu], &ldwrku, &
+			vt[vt_offset], ldvt, dum, idum, &work[nwork], &iwork[
+			1], info);
+
+/*              Overwrite VT by right singular vectors of A */
+/*              (Workspace: need N*N+2*N, prefer N*N+N+N*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dormbr_("P", "R", "T", n, n, n, &a[a_offset], lda, &work[
+			itaup], &vt[vt_offset], ldvt, &work[nwork], &i__2, &
+			ierr);
+
+		if (*lwork >= *m * *n + *n * 3 + bdspac) {
+
+/*                 Overwrite WORK(IU) by left singular vectors of A */
+/*                 (Workspace: need N*N+2*N, prefer N*N+N+N*NB) */
+
+		    i__2 = *lwork - nwork + 1;
+		    dormbr_("Q", "L", "N", m, n, n, &a[a_offset], lda, &work[
+			    itauq], &work[iu], &ldwrku, &work[nwork], &i__2, &
+			    ierr);
+
+/*                 Copy left singular vectors of A from WORK(IU) to A */
+
+		    dlacpy_("F", m, n, &work[iu], &ldwrku, &a[a_offset], lda);
+		} else {
+
+/*                 Generate Q in A */
+/*                 (Workspace: need N*N+2*N, prefer N*N+N+N*NB) */
+
+		    i__2 = *lwork - nwork + 1;
+		    dorgbr_("Q", m, n, n, &a[a_offset], lda, &work[itauq], &
+			    work[nwork], &i__2, &ierr);
+
+/*                 Multiply Q in A by left singular vectors of */
+/*                 bidiagonal matrix in WORK(IU), storing result in */
+/*                 WORK(IR) and copying to A */
+/*                 (Workspace: need 2*N*N, prefer N*N+M*N) */
+
+		    i__2 = *m;
+		    i__1 = ldwrkr;
+		    for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ +=
+			     i__1) {
+/* Computing MIN */
+			i__3 = *m - i__ + 1;
+			chunk = min(i__3,ldwrkr);
+			dgemm_("N", "N", &chunk, n, n, &c_b248, &a[i__ + 
+				a_dim1], lda, &work[iu], &ldwrku, &c_b227, &
+				work[ir], &ldwrkr);
+			dlacpy_("F", &chunk, n, &work[ir], &ldwrkr, &a[i__ + 
+				a_dim1], lda);
+/* L20: */
+		    }
+		}
+
+	    } else if (wntqs) {
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagonal matrix in U and computing right singular */
+/*              vectors of bidiagonal matrix in VT */
+/*              (Workspace: need N+BDSPAC) */
+
+		dlaset_("F", m, n, &c_b227, &c_b227, &u[u_offset], ldu);
+		dbdsdc_("U", "I", n, &s[1], &work[ie], &u[u_offset], ldu, &vt[
+			vt_offset], ldvt, dum, idum, &work[nwork], &iwork[1], 
+			info);
+
+/*              Overwrite U by left singular vectors of A and VT */
+/*              by right singular vectors of A */
+/*              (Workspace: need 3*N, prefer 2*N+N*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dormbr_("Q", "L", "N", m, n, n, &a[a_offset], lda, &work[
+			itauq], &u[u_offset], ldu, &work[nwork], &i__1, &ierr);
+		i__1 = *lwork - nwork + 1;
+		dormbr_("P", "R", "T", n, n, n, &a[a_offset], lda, &work[
+			itaup], &vt[vt_offset], ldvt, &work[nwork], &i__1, &
+			ierr);
+	    } else if (wntqa) {
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagonal matrix in U and computing right singular */
+/*              vectors of bidiagonal matrix in VT */
+/*              (Workspace: need N+BDSPAC) */
+
+		dlaset_("F", m, m, &c_b227, &c_b227, &u[u_offset], ldu);
+		dbdsdc_("U", "I", n, &s[1], &work[ie], &u[u_offset], ldu, &vt[
+			vt_offset], ldvt, dum, idum, &work[nwork], &iwork[1], 
+			info);
+
+/*              Set the right corner of U to identity matrix */
+
+		if (*m > *n) {
+		    i__1 = *m - *n;
+		    i__2 = *m - *n;
+		    dlaset_("F", &i__1, &i__2, &c_b227, &c_b248, &u[*n + 1 + (
+			    *n + 1) * u_dim1], ldu);
+		}
+
+/*              Overwrite U by left singular vectors of A and VT */
+/*              by right singular vectors of A */
+/*              (Workspace: need N*N+2*N+M, prefer N*N+2*N+M*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dormbr_("Q", "L", "N", m, m, n, &a[a_offset], lda, &work[
+			itauq], &u[u_offset], ldu, &work[nwork], &i__1, &ierr);
+		i__1 = *lwork - nwork + 1;
+		dormbr_("P", "R", "T", n, n, m, &a[a_offset], lda, &work[
+			itaup], &vt[vt_offset], ldvt, &work[nwork], &i__1, &
+			ierr);
+	    }
+
+	}
+
+    } else {
+
+/*        A has more columns than rows. If A has sufficiently more */
+/*        columns than rows, first reduce using the LQ decomposition (if */
+/*        sufficient workspace available) */
+
+	if (*n >= mnthr) {
+
+	    if (wntqn) {
+
+/*              Path 1t (N much larger than M, JOBZ='N') */
+/*              No singular vectors to be computed */
+
+		itau = 1;
+		nwork = itau + *m;
+
+/*              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, &ierr);
+
+/*              Zero out above L */
+
+		i__1 = *m - 1;
+		i__2 = *m - 1;
+		dlaset_("U", &i__1, &i__2, &c_b227, &c_b227, &a[(a_dim1 << 1) 
+			+ 1], lda);
+		ie = 1;
+		itauq = ie + *m;
+		itaup = itauq + *m;
+		nwork = itaup + *m;
+
+/*              Bidiagonalize L in A */
+/*              (Workspace: need 4*M, prefer 3*M+2*M*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dgebrd_(m, m, &a[a_offset], lda, &s[1], &work[ie], &work[
+			itauq], &work[itaup], &work[nwork], &i__1, &ierr);
+		nwork = ie + *m;
+
+/*              Perform bidiagonal SVD, computing singular values only */
+/*              (Workspace: need M+BDSPAC) */
+
+		dbdsdc_("U", "N", m, &s[1], &work[ie], dum, &c__1, dum, &c__1, 
+			 dum, idum, &work[nwork], &iwork[1], info);
+
+	    } else if (wntqo) {
+
+/*              Path 2t (N much larger than M, JOBZ='O') */
+/*              M right singular vectors to be overwritten on A and */
+/*              M left singular vectors to be computed in U */
+
+		ivt = 1;
+
+/*              IVT is M by M */
+
+		il = ivt + *m * *m;
+		if (*lwork >= *m * *n + *m * *m + *m * 3 + bdspac) {
+
+/*                 WORK(IL) is M by N */
+
+		    ldwrkl = *m;
+		    chunk = *n;
+		} else {
+		    ldwrkl = *m;
+		    chunk = (*lwork - *m * *m) / *m;
+		}
+		itau = il + ldwrkl * *m;
+		nwork = itau + *m;
+
+/*              Compute A=L*Q */
+/*              (Workspace: need M*M+2*M, prefer M*M+M+M*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dgelqf_(m, n, &a[a_offset], lda, &work[itau], &work[nwork], &
+			i__1, &ierr);
+
+/*              Copy L to WORK(IL), zeroing about above it */
+
+		dlacpy_("L", m, m, &a[a_offset], lda, &work[il], &ldwrkl);
+		i__1 = *m - 1;
+		i__2 = *m - 1;
+		dlaset_("U", &i__1, &i__2, &c_b227, &c_b227, &work[il + 
+			ldwrkl], &ldwrkl);
+
+/*              Generate Q in A */
+/*              (Workspace: need M*M+2*M, prefer M*M+M+M*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dorglq_(m, n, m, &a[a_offset], lda, &work[itau], &work[nwork], 
+			 &i__1, &ierr);
+		ie = itau;
+		itauq = ie + *m;
+		itaup = itauq + *m;
+		nwork = itaup + *m;
+
+/*              Bidiagonalize L in WORK(IL) */
+/*              (Workspace: need M*M+4*M, prefer M*M+3*M+2*M*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dgebrd_(m, m, &work[il], &ldwrkl, &s[1], &work[ie], &work[
+			itauq], &work[itaup], &work[nwork], &i__1, &ierr);
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagonal matrix in U, and computing right singular */
+/*              vectors of bidiagonal matrix in WORK(IVT) */
+/*              (Workspace: need M+M*M+BDSPAC) */
+
+		dbdsdc_("U", "I", m, &s[1], &work[ie], &u[u_offset], ldu, &
+			work[ivt], m, dum, idum, &work[nwork], &iwork[1], 
+			info);
+
+/*              Overwrite U by left singular vectors of L and WORK(IVT) */
+/*              by right singular vectors of L */
+/*              (Workspace: need 2*M*M+3*M, prefer 2*M*M+2*M+M*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dormbr_("Q", "L", "N", m, m, m, &work[il], &ldwrkl, &work[
+			itauq], &u[u_offset], ldu, &work[nwork], &i__1, &ierr);
+		i__1 = *lwork - nwork + 1;
+		dormbr_("P", "R", "T", m, m, m, &work[il], &ldwrkl, &work[
+			itaup], &work[ivt], m, &work[nwork], &i__1, &ierr);
+
+/*              Multiply right singular vectors of L in WORK(IVT) by Q */
+/*              in A, storing result in WORK(IL) and copying to A */
+/*              (Workspace: need 2*M*M, prefer M*M+M*N) */
+
+		i__1 = *n;
+		i__2 = chunk;
+		for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += 
+			i__2) {
+/* Computing MIN */
+		    i__3 = *n - i__ + 1;
+		    blk = min(i__3,chunk);
+		    dgemm_("N", "N", m, &blk, m, &c_b248, &work[ivt], m, &a[
+			    i__ * a_dim1 + 1], lda, &c_b227, &work[il], &
+			    ldwrkl);
+		    dlacpy_("F", m, &blk, &work[il], &ldwrkl, &a[i__ * a_dim1 
+			    + 1], lda);
+/* L30: */
+		}
+
+	    } else if (wntqs) {
+
+/*              Path 3t (N much larger than M, JOBZ='S') */
+/*              M right singular vectors to be computed in VT and */
+/*              M left singular vectors to be computed in U */
+
+		il = 1;
+
+/*              WORK(IL) is M by M */
+
+		ldwrkl = *m;
+		itau = il + ldwrkl * *m;
+		nwork = itau + *m;
+
+/*              Compute A=L*Q */
+/*              (Workspace: need M*M+2*M, prefer M*M+M+M*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dgelqf_(m, n, &a[a_offset], lda, &work[itau], &work[nwork], &
+			i__2, &ierr);
+
+/*              Copy L to WORK(IL), zeroing out above it */
+
+		dlacpy_("L", m, m, &a[a_offset], lda, &work[il], &ldwrkl);
+		i__2 = *m - 1;
+		i__1 = *m - 1;
+		dlaset_("U", &i__2, &i__1, &c_b227, &c_b227, &work[il + 
+			ldwrkl], &ldwrkl);
+
+/*              Generate Q in A */
+/*              (Workspace: need M*M+2*M, prefer M*M+M+M*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dorglq_(m, n, m, &a[a_offset], lda, &work[itau], &work[nwork], 
+			 &i__2, &ierr);
+		ie = itau;
+		itauq = ie + *m;
+		itaup = itauq + *m;
+		nwork = itaup + *m;
+
+/*              Bidiagonalize L in WORK(IU), copying result to U */
+/*              (Workspace: need M*M+4*M, prefer M*M+3*M+2*M*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dgebrd_(m, m, &work[il], &ldwrkl, &s[1], &work[ie], &work[
+			itauq], &work[itaup], &work[nwork], &i__2, &ierr);
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagonal matrix in U and computing right singular */
+/*              vectors of bidiagonal matrix in VT */
+/*              (Workspace: need M+BDSPAC) */
+
+		dbdsdc_("U", "I", m, &s[1], &work[ie], &u[u_offset], ldu, &vt[
+			vt_offset], ldvt, dum, idum, &work[nwork], &iwork[1], 
+			info);
+
+/*              Overwrite U by left singular vectors of L and VT */
+/*              by right singular vectors of L */
+/*              (Workspace: need M*M+3*M, prefer M*M+2*M+M*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dormbr_("Q", "L", "N", m, m, m, &work[il], &ldwrkl, &work[
+			itauq], &u[u_offset], ldu, &work[nwork], &i__2, &ierr);
+		i__2 = *lwork - nwork + 1;
+		dormbr_("P", "R", "T", m, m, m, &work[il], &ldwrkl, &work[
+			itaup], &vt[vt_offset], ldvt, &work[nwork], &i__2, &
+			ierr);
+
+/*              Multiply right singular vectors of L in WORK(IL) by */
+/*              Q in A, storing result in VT */
+/*              (Workspace: need M*M) */
+
+		dlacpy_("F", m, m, &vt[vt_offset], ldvt, &work[il], &ldwrkl);
+		dgemm_("N", "N", m, n, m, &c_b248, &work[il], &ldwrkl, &a[
+			a_offset], lda, &c_b227, &vt[vt_offset], ldvt);
+
+	    } else if (wntqa) {
+
+/*              Path 4t (N much larger than M, JOBZ='A') */
+/*              N right singular vectors to be computed in VT and */
+/*              M left singular vectors to be computed in U */
+
+		ivt = 1;
+
+/*              WORK(IVT) is M by M */
+
+		ldwkvt = *m;
+		itau = ivt + ldwkvt * *m;
+		nwork = itau + *m;
+
+/*              Compute A=L*Q, copying result to VT */
+/*              (Workspace: need M*M+2*M, prefer M*M+M+M*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dgelqf_(m, n, &a[a_offset], lda, &work[itau], &work[nwork], &
+			i__2, &ierr);
+		dlacpy_("U", m, n, &a[a_offset], lda, &vt[vt_offset], ldvt);
+
+/*              Generate Q in VT */
+/*              (Workspace: need M*M+2*M, prefer M*M+M+M*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dorglq_(n, n, m, &vt[vt_offset], ldvt, &work[itau], &work[
+			nwork], &i__2, &ierr);
+
+/*              Produce L in A, zeroing out other entries */
+
+		i__2 = *m - 1;
+		i__1 = *m - 1;
+		dlaset_("U", &i__2, &i__1, &c_b227, &c_b227, &a[(a_dim1 << 1) 
+			+ 1], lda);
+		ie = itau;
+		itauq = ie + *m;
+		itaup = itauq + *m;
+		nwork = itaup + *m;
+
+/*              Bidiagonalize L in A */
+/*              (Workspace: need M*M+4*M, prefer M*M+3*M+2*M*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dgebrd_(m, m, &a[a_offset], lda, &s[1], &work[ie], &work[
+			itauq], &work[itaup], &work[nwork], &i__2, &ierr);
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagonal matrix in U and computing right singular */
+/*              vectors of bidiagonal matrix in WORK(IVT) */
+/*              (Workspace: need M+M*M+BDSPAC) */
+
+		dbdsdc_("U", "I", m, &s[1], &work[ie], &u[u_offset], ldu, &
+			work[ivt], &ldwkvt, dum, idum, &work[nwork], &iwork[1]
+, info);
+
+/*              Overwrite U by left singular vectors of L and WORK(IVT) */
+/*              by right singular vectors of L */
+/*              (Workspace: need M*M+3*M, prefer M*M+2*M+M*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dormbr_("Q", "L", "N", m, m, m, &a[a_offset], lda, &work[
+			itauq], &u[u_offset], ldu, &work[nwork], &i__2, &ierr);
+		i__2 = *lwork - nwork + 1;
+		dormbr_("P", "R", "T", m, m, m, &a[a_offset], lda, &work[
+			itaup], &work[ivt], &ldwkvt, &work[nwork], &i__2, &
+			ierr);
+
+/*              Multiply right singular vectors of L in WORK(IVT) by */
+/*              Q in VT, storing result in A */
+/*              (Workspace: need M*M) */
+
+		dgemm_("N", "N", m, n, m, &c_b248, &work[ivt], &ldwkvt, &vt[
+			vt_offset], ldvt, &c_b227, &a[a_offset], lda);
+
+/*              Copy right singular vectors of A from A to VT */
+
+		dlacpy_("F", m, n, &a[a_offset], lda, &vt[vt_offset], ldvt);
+
+	    }
+
+	} else {
+
+/*           N .LT. MNTHR */
+
+/*           Path 5t (N greater than M, but not much larger) */
+/*           Reduce to bidiagonal form without LQ decomposition */
+
+	    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__2 = *lwork - nwork + 1;
+	    dgebrd_(m, n, &a[a_offset], lda, &s[1], &work[ie], &work[itauq], &
+		    work[itaup], &work[nwork], &i__2, &ierr);
+	    if (wntqn) {
+
+/*              Perform bidiagonal SVD, only computing singular values */
+/*              (Workspace: need M+BDSPAC) */
+
+		dbdsdc_("L", "N", m, &s[1], &work[ie], dum, &c__1, dum, &c__1, 
+			 dum, idum, &work[nwork], &iwork[1], info);
+	    } else if (wntqo) {
+		ldwkvt = *m;
+		ivt = nwork;
+		if (*lwork >= *m * *n + *m * 3 + bdspac) {
+
+/*                 WORK( IVT ) is M by N */
+
+		    dlaset_("F", m, n, &c_b227, &c_b227, &work[ivt], &ldwkvt);
+		    nwork = ivt + ldwkvt * *n;
+		} else {
+
+/*                 WORK( IVT ) is M by M */
+
+		    nwork = ivt + ldwkvt * *m;
+		    il = nwork;
+
+/*                 WORK(IL) is M by CHUNK */
+
+		    chunk = (*lwork - *m * *m - *m * 3) / *m;
+		}
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagonal matrix in U and computing right singular */
+/*              vectors of bidiagonal matrix in WORK(IVT) */
+/*              (Workspace: need M*M+BDSPAC) */
+
+		dbdsdc_("L", "I", m, &s[1], &work[ie], &u[u_offset], ldu, &
+			work[ivt], &ldwkvt, dum, idum, &work[nwork], &iwork[1]
+, info);
+
+/*              Overwrite U by left singular vectors of A */
+/*              (Workspace: need M*M+2*M, prefer M*M+M+M*NB) */
+
+		i__2 = *lwork - nwork + 1;
+		dormbr_("Q", "L", "N", m, m, n, &a[a_offset], lda, &work[
+			itauq], &u[u_offset], ldu, &work[nwork], &i__2, &ierr);
+
+		if (*lwork >= *m * *n + *m * 3 + bdspac) {
+
+/*                 Overwrite WORK(IVT) by left singular vectors of A */
+/*                 (Workspace: need M*M+2*M, prefer M*M+M+M*NB) */
+
+		    i__2 = *lwork - nwork + 1;
+		    dormbr_("P", "R", "T", m, n, m, &a[a_offset], lda, &work[
+			    itaup], &work[ivt], &ldwkvt, &work[nwork], &i__2, 
+			    &ierr);
+
+/*                 Copy right singular vectors of A from WORK(IVT) to A */
+
+		    dlacpy_("F", m, n, &work[ivt], &ldwkvt, &a[a_offset], lda);
+		} else {
+
+/*                 Generate P**T in A */
+/*                 (Workspace: need M*M+2*M, prefer M*M+M+M*NB) */
+
+		    i__2 = *lwork - nwork + 1;
+		    dorgbr_("P", m, n, m, &a[a_offset], lda, &work[itaup], &
+			    work[nwork], &i__2, &ierr);
+
+/*                 Multiply Q in A by right singular vectors of */
+/*                 bidiagonal matrix in WORK(IVT), storing result in */
+/*                 WORK(IL) and copying to A */
+/*                 (Workspace: need 2*M*M, prefer M*M+M*N) */
+
+		    i__2 = *n;
+		    i__1 = chunk;
+		    for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ +=
+			     i__1) {
+/* Computing MIN */
+			i__3 = *n - i__ + 1;
+			blk = min(i__3,chunk);
+			dgemm_("N", "N", m, &blk, m, &c_b248, &work[ivt], &
+				ldwkvt, &a[i__ * a_dim1 + 1], lda, &c_b227, &
+				work[il], m);
+			dlacpy_("F", m, &blk, &work[il], m, &a[i__ * a_dim1 + 
+				1], lda);
+/* L40: */
+		    }
+		}
+	    } else if (wntqs) {
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagonal matrix in U and computing right singular */
+/*              vectors of bidiagonal matrix in VT */
+/*              (Workspace: need M+BDSPAC) */
+
+		dlaset_("F", m, n, &c_b227, &c_b227, &vt[vt_offset], ldvt);
+		dbdsdc_("L", "I", m, &s[1], &work[ie], &u[u_offset], ldu, &vt[
+			vt_offset], ldvt, dum, idum, &work[nwork], &iwork[1], 
+			info);
+
+/*              Overwrite U by left singular vectors of A and VT */
+/*              by right singular vectors of A */
+/*              (Workspace: need 3*M, prefer 2*M+M*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dormbr_("Q", "L", "N", m, m, n, &a[a_offset], lda, &work[
+			itauq], &u[u_offset], ldu, &work[nwork], &i__1, &ierr);
+		i__1 = *lwork - nwork + 1;
+		dormbr_("P", "R", "T", m, n, m, &a[a_offset], lda, &work[
+			itaup], &vt[vt_offset], ldvt, &work[nwork], &i__1, &
+			ierr);
+	    } else if (wntqa) {
+
+/*              Perform bidiagonal SVD, computing left singular vectors */
+/*              of bidiagonal matrix in U and computing right singular */
+/*              vectors of bidiagonal matrix in VT */
+/*              (Workspace: need M+BDSPAC) */
+
+		dlaset_("F", n, n, &c_b227, &c_b227, &vt[vt_offset], ldvt);
+		dbdsdc_("L", "I", m, &s[1], &work[ie], &u[u_offset], ldu, &vt[
+			vt_offset], ldvt, dum, idum, &work[nwork], &iwork[1], 
+			info);
+
+/*              Set the right corner of VT to identity matrix */
+
+		if (*n > *m) {
+		    i__1 = *n - *m;
+		    i__2 = *n - *m;
+		    dlaset_("F", &i__1, &i__2, &c_b227, &c_b248, &vt[*m + 1 + 
+			    (*m + 1) * vt_dim1], ldvt);
+		}
+
+/*              Overwrite U by left singular vectors of A and VT */
+/*              by right singular vectors of A */
+/*              (Workspace: need 2*M+N, prefer 2*M+N*NB) */
+
+		i__1 = *lwork - nwork + 1;
+		dormbr_("Q", "L", "N", m, m, n, &a[a_offset], lda, &work[
+			itauq], &u[u_offset], ldu, &work[nwork], &i__1, &ierr);
+		i__1 = *lwork - nwork + 1;
+		dormbr_("P", "R", "T", n, n, m, &a[a_offset], lda, &work[
+			itaup], &vt[vt_offset], ldvt, &work[nwork], &i__1, &
+			ierr);
+	    }
+
+	}
+
+    }
+
+/*     Undo scaling if necessary */
+
+    if (iscl == 1) {
+	if (anrm > bignum) {
+	    dlascl_("G", &c__0, &c__0, &bignum, &anrm, &minmn, &c__1, &s[1], &
+		    minmn, &ierr);
+	}
+	if (anrm < smlnum) {
+	    dlascl_("G", &c__0, &c__0, &smlnum, &anrm, &minmn, &c__1, &s[1], &
+		    minmn, &ierr);
+	}
+    }
+
+/*     Return optimal workspace in WORK(1) */
+
+    work[1] = (doublereal) maxwrk;
+
+    return 0;
+
+/*     End of DGESDD */
+
+} /* dgesdd_ */