[] add metering mode to CLI

1 files changed, 828 insertions, 0 deletions

diff --git a/contrib/libs/clapack/zgelss.c b/contrib/libs/clapack/zgelss.c
new file mode 100644
index 0000000000..29caf0ed7c
--- /dev/null
+++ b/contrib/libs/clapack/zgelss.c
@@ -0,0 +1,828 @@
+/* zgelss.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 doublecomplex c_b1 = {0.,0.};
+static doublecomplex c_b2 = {1.,0.};
+static integer c__6 = 6;
+static integer c_n1 = -1;
+static integer c__1 = 1;
+static integer c__0 = 0;
+static doublereal c_b78 = 0.;
+
+/* Subroutine */ int zgelss_(integer *m, integer *n, integer *nrhs, 
+	doublecomplex *a, integer *lda, doublecomplex *b, integer *ldb, 
+	doublereal *s, doublereal *rcond, integer *rank, doublecomplex *work, 
+	integer *lwork, doublereal *rwork, integer *info)
+{
+    /* System generated locals */
+    integer a_dim1, a_offset, b_dim1, b_offset, i__1, i__2, i__3;
+    doublereal d__1;
+
+    /* Local variables */
+    integer i__, bl, ie, il, mm;
+    doublereal eps, thr, anrm, bnrm;
+    integer itau;
+    doublecomplex vdum[1];
+    integer iascl, ibscl, chunk;
+    doublereal sfmin;
+    integer minmn;
+    extern /* Subroutine */ int zgemm_(char *, char *, integer *, integer *, 
+	    integer *, doublecomplex *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
+	    integer *);
+    integer maxmn, itaup, itauq, mnthr;
+    extern /* Subroutine */ int zgemv_(char *, integer *, integer *, 
+	    doublecomplex *, doublecomplex *, integer *, doublecomplex *, 
+	    integer *, doublecomplex *, doublecomplex *, integer *);
+    integer iwork;
+    extern /* Subroutine */ int zcopy_(integer *, doublecomplex *, integer *, 
+	    doublecomplex *, integer *), dlabad_(doublereal *, doublereal *);
+    extern doublereal dlamch_(char *);
+    extern /* Subroutine */ int dlascl_(char *, integer *, integer *, 
+	    doublereal *, doublereal *, integer *, integer *, doublereal *, 
+	    integer *, integer *), dlaset_(char *, integer *, integer 
+	    *, doublereal *, doublereal *, doublereal *, integer *), 
+	    xerbla_(char *, integer *), zgebrd_(integer *, integer *, 
+	    doublecomplex *, integer *, doublereal *, doublereal *, 
+	    doublecomplex *, doublecomplex *, doublecomplex *, integer *, 
+	    integer *);
+    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
+	    integer *, integer *);
+    extern doublereal zlange_(char *, integer *, integer *, doublecomplex *, 
+	    integer *, doublereal *);
+    doublereal bignum;
+    extern /* Subroutine */ int zgelqf_(integer *, integer *, doublecomplex *, 
+	     integer *, doublecomplex *, doublecomplex *, integer *, integer *
+), zlascl_(char *, integer *, integer *, doublereal *, doublereal 
+	    *, integer *, integer *, doublecomplex *, integer *, integer *), zgeqrf_(integer *, integer *, doublecomplex *, integer *, 
+	     doublecomplex *, doublecomplex *, integer *, integer *), zdrscl_(
+	    integer *, doublereal *, doublecomplex *, integer *);
+    integer ldwork;
+    extern /* Subroutine */ int zlacpy_(char *, integer *, integer *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *), 
+	    zlaset_(char *, integer *, integer *, doublecomplex *, 
+	    doublecomplex *, doublecomplex *, integer *), zbdsqr_(
+	    char *, integer *, integer *, integer *, integer *, doublereal *, 
+	    doublereal *, doublecomplex *, integer *, doublecomplex *, 
+	    integer *, doublecomplex *, integer *, doublereal *, integer *);
+    integer minwrk, maxwrk;
+    extern /* Subroutine */ int zungbr_(char *, integer *, integer *, integer 
+	    *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
+	    integer *, integer *);
+    doublereal smlnum;
+    integer irwork;
+    extern /* Subroutine */ int zunmbr_(char *, char *, char *, integer *, 
+	    integer *, integer *, doublecomplex *, integer *, doublecomplex *, 
+	     doublecomplex *, integer *, doublecomplex *, integer *, integer *
+);
+    logical lquery;
+    extern /* Subroutine */ int zunmlq_(char *, char *, integer *, integer *, 
+	    integer *, doublecomplex *, integer *, doublecomplex *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *, integer *), zunmqr_(char *, char *, integer *, integer *, 
+	    integer *, doublecomplex *, integer *, doublecomplex *, 
+	    doublecomplex *, integer *, doublecomplex *, integer *, integer *);
+
+
+/*  -- LAPACK driver routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  ZGELSS computes the minimum norm solution to a complex linear */
+/*  least squares problem: */
+
+/*  Minimize 2-norm(| b - A*x |). */
+
+/*  using the singular value decomposition (SVD) of A. A is an M-by-N */
+/*  matrix which may be rank-deficient. */
+
+/*  Several right hand side vectors b and solution vectors x can be */
+/*  handled in a single call; they are stored as the columns of the */
+/*  M-by-NRHS right hand side matrix B and the N-by-NRHS solution matrix */
+/*  X. */
+
+/*  The effective rank of A is determined by treating as zero those */
+/*  singular values which are less than RCOND times the largest singular */
+/*  value. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  M       (input) INTEGER */
+/*          The number of rows of the matrix A. M >= 0. */
+
+/*  N       (input) INTEGER */
+/*          The number of columns of the matrix A. N >= 0. */
+
+/*  NRHS    (input) INTEGER */
+/*          The number of right hand sides, i.e., the number of columns */
+/*          of the matrices B and X. NRHS >= 0. */
+
+/*  A       (input/output) COMPLEX*16 array, dimension (LDA,N) */
+/*          On entry, the M-by-N matrix A. */
+/*          On exit, the first min(m,n) rows of A are overwritten with */
+/*          its right singular vectors, stored rowwise. */
+
+/*  LDA     (input) INTEGER */
+/*          The leading dimension of the array A. LDA >= max(1,M). */
+
+/*  B       (input/output) COMPLEX*16 array, dimension (LDB,NRHS) */
+/*          On entry, the M-by-NRHS right hand side matrix B. */
+/*          On exit, B is overwritten by the N-by-NRHS solution matrix X. */
+/*          If m >= n and RANK = n, the residual sum-of-squares for */
+/*          the solution in the i-th column is given by the sum of */
+/*          squares of the modulus of elements n+1:m in that column. */
+
+/*  LDB     (input) INTEGER */
+/*          The leading dimension of the array B.  LDB >= max(1,M,N). */
+
+/*  S       (output) DOUBLE PRECISION array, dimension (min(M,N)) */
+/*          The singular values of A in decreasing order. */
+/*          The condition number of A in the 2-norm = S(1)/S(min(m,n)). */
+
+/*  RCOND   (input) DOUBLE PRECISION */
+/*          RCOND is used to determine the effective rank of A. */
+/*          Singular values S(i) <= RCOND*S(1) are treated as zero. */
+/*          If RCOND < 0, machine precision is used instead. */
+
+/*  RANK    (output) INTEGER */
+/*          The effective rank of A, i.e., the number of singular values */
+/*          which are greater than RCOND*S(1). */
+
+/*  WORK    (workspace/output) COMPLEX*16 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, and also: */
+/*          LWORK >=  2*min(M,N) + max(M,N,NRHS) */
+/*          For good performance, LWORK should generally be larger. */
+
+/*          If LWORK = -1, then a workspace query is assumed; the routine */
+/*          only calculates the optimal size of the WORK array, returns */
+/*          this value as the first entry of the WORK array, and no error */
+/*          message related to LWORK is issued by XERBLA. */
+
+/*  RWORK   (workspace) DOUBLE PRECISION array, dimension (5*min(M,N)) */
+
+/*  INFO    (output) INTEGER */
+/*          = 0:  successful exit */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value. */
+/*          > 0:  the algorithm for computing the SVD failed to converge; */
+/*                if INFO = i, i off-diagonal elements of an intermediate */
+/*                bidiagonal form did not converge to zero. */
+
+/*  ===================================================================== */
+
+/*     .. 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;
+    b_dim1 = *ldb;
+    b_offset = 1 + b_dim1;
+    b -= b_offset;
+    --s;
+    --work;
+    --rwork;
+
+    /* Function Body */
+    *info = 0;
+    minmn = min(*m,*n);
+    maxmn = max(*m,*n);
+    lquery = *lwork == -1;
+    if (*m < 0) {
+	*info = -1;
+    } else if (*n < 0) {
+	*info = -2;
+    } else if (*nrhs < 0) {
+	*info = -3;
+    } else if (*lda < max(1,*m)) {
+	*info = -5;
+    } else if (*ldb < max(1,maxmn)) {
+	*info = -7;
+    }
+
+/*     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. */
+/*       CWorkspace refers to complex workspace, and RWorkspace refers */
+/*       to real workspace. NB refers to the optimal block size for the */
+/*       immediately following subroutine, as returned by ILAENV.) */
+
+    if (*info == 0) {
+	minwrk = 1;
+	maxwrk = 1;
+	if (minmn > 0) {
+	    mm = *m;
+	    mnthr = ilaenv_(&c__6, "ZGELSS", " ", m, n, nrhs, &c_n1);
+	    if (*m >= *n && *m >= mnthr) {
+
+/*              Path 1a - overdetermined, with many more rows than */
+/*                        columns */
+
+		mm = *n;
+/* Computing MAX */
+		i__1 = maxwrk, i__2 = *n + *n * ilaenv_(&c__1, "ZGEQRF", 
+			" ", m, n, &c_n1, &c_n1);
+		maxwrk = max(i__1,i__2);
+/* Computing MAX */
+		i__1 = maxwrk, i__2 = *n + *nrhs * ilaenv_(&c__1, "ZUNMQR", 
+			"LC", m, nrhs, n, &c_n1);
+		maxwrk = max(i__1,i__2);
+	    }
+	    if (*m >= *n) {
+
+/*              Path 1 - overdetermined or exactly determined */
+
+/* Computing MAX */
+		i__1 = maxwrk, i__2 = (*n << 1) + (mm + *n) * ilaenv_(&c__1, 
+			"ZGEBRD", " ", &mm, n, &c_n1, &c_n1);
+		maxwrk = max(i__1,i__2);
+/* Computing MAX */
+		i__1 = maxwrk, i__2 = (*n << 1) + *nrhs * ilaenv_(&c__1, 
+			"ZUNMBR", "QLC", &mm, nrhs, n, &c_n1);
+		maxwrk = max(i__1,i__2);
+/* Computing MAX */
+		i__1 = maxwrk, i__2 = (*n << 1) + (*n - 1) * ilaenv_(&c__1, 
+			"ZUNGBR", "P", n, n, n, &c_n1);
+		maxwrk = max(i__1,i__2);
+/* Computing MAX */
+		i__1 = maxwrk, i__2 = *n * *nrhs;
+		maxwrk = max(i__1,i__2);
+		minwrk = (*n << 1) + max(*nrhs,*m);
+	    }
+	    if (*n > *m) {
+		minwrk = (*m << 1) + max(*nrhs,*n);
+		if (*n >= mnthr) {
+
+/*                 Path 2a - underdetermined, with many more columns */
+/*                 than rows */
+
+		    maxwrk = *m + *m * ilaenv_(&c__1, "ZGELQF", " ", m, n, &
+			    c_n1, &c_n1);
+/* Computing MAX */
+		    i__1 = maxwrk, i__2 = *m * 3 + *m * *m + (*m << 1) * 
+			    ilaenv_(&c__1, "ZGEBRD", " ", m, m, &c_n1, &c_n1);
+		    maxwrk = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = maxwrk, i__2 = *m * 3 + *m * *m + *nrhs * ilaenv_(&
+			    c__1, "ZUNMBR", "QLC", m, nrhs, m, &c_n1);
+		    maxwrk = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = maxwrk, i__2 = *m * 3 + *m * *m + (*m - 1) * 
+			    ilaenv_(&c__1, "ZUNGBR", "P", m, m, m, &c_n1);
+		    maxwrk = max(i__1,i__2);
+		    if (*nrhs > 1) {
+/* Computing MAX */
+			i__1 = maxwrk, i__2 = *m * *m + *m + *m * *nrhs;
+			maxwrk = max(i__1,i__2);
+		    } else {
+/* Computing MAX */
+			i__1 = maxwrk, i__2 = *m * *m + (*m << 1);
+			maxwrk = max(i__1,i__2);
+		    }
+/* Computing MAX */
+		    i__1 = maxwrk, i__2 = *m + *nrhs * ilaenv_(&c__1, "ZUNMLQ"
+, "LC", n, nrhs, m, &c_n1);
+		    maxwrk = max(i__1,i__2);
+		} else {
+
+/*                 Path 2 - underdetermined */
+
+		    maxwrk = (*m << 1) + (*n + *m) * ilaenv_(&c__1, "ZGEBRD", 
+			    " ", m, n, &c_n1, &c_n1);
+/* Computing MAX */
+		    i__1 = maxwrk, i__2 = (*m << 1) + *nrhs * ilaenv_(&c__1, 
+			    "ZUNMBR", "QLC", m, nrhs, m, &c_n1);
+		    maxwrk = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = maxwrk, i__2 = (*m << 1) + *m * ilaenv_(&c__1, 
+			    "ZUNGBR", "P", m, n, m, &c_n1);
+		    maxwrk = max(i__1,i__2);
+/* Computing MAX */
+		    i__1 = maxwrk, i__2 = *n * *nrhs;
+		    maxwrk = max(i__1,i__2);
+		}
+	    }
+	    maxwrk = max(minwrk,maxwrk);
+	}
+	work[1].r = (doublereal) maxwrk, work[1].i = 0.;
+
+	if (*lwork < minwrk && ! lquery) {
+	    *info = -12;
+	}
+    }
+
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("ZGELSS", &i__1);
+	return 0;
+    } else if (lquery) {
+	return 0;
+    }
+
+/*     Quick return if possible */
+
+    if (*m == 0 || *n == 0) {
+	*rank = 0;
+	return 0;
+    }
+
+/*     Get machine parameters */
+
+    eps = dlamch_("P");
+    sfmin = dlamch_("S");
+    smlnum = sfmin / eps;
+    bignum = 1. / smlnum;
+    dlabad_(&smlnum, &bignum);
+
+/*     Scale A if max element outside range [SMLNUM,BIGNUM] */
+
+    anrm = zlange_("M", m, n, &a[a_offset], lda, &rwork[1]);
+    iascl = 0;
+    if (anrm > 0. && anrm < smlnum) {
+
+/*        Scale matrix norm up to SMLNUM */
+
+	zlascl_("G", &c__0, &c__0, &anrm, &smlnum, m, n, &a[a_offset], lda, 
+		info);
+	iascl = 1;
+    } else if (anrm > bignum) {
+
+/*        Scale matrix norm down to BIGNUM */
+
+	zlascl_("G", &c__0, &c__0, &anrm, &bignum, m, n, &a[a_offset], lda, 
+		info);
+	iascl = 2;
+    } else if (anrm == 0.) {
+
+/*        Matrix all zero. Return zero solution. */
+
+	i__1 = max(*m,*n);
+	zlaset_("F", &i__1, nrhs, &c_b1, &c_b1, &b[b_offset], ldb);
+	dlaset_("F", &minmn, &c__1, &c_b78, &c_b78, &s[1], &minmn);
+	*rank = 0;
+	goto L70;
+    }
+
+/*     Scale B if max element outside range [SMLNUM,BIGNUM] */
+
+    bnrm = zlange_("M", m, nrhs, &b[b_offset], ldb, &rwork[1]);
+    ibscl = 0;
+    if (bnrm > 0. && bnrm < smlnum) {
+
+/*        Scale matrix norm up to SMLNUM */
+
+	zlascl_("G", &c__0, &c__0, &bnrm, &smlnum, m, nrhs, &b[b_offset], ldb, 
+		 info);
+	ibscl = 1;
+    } else if (bnrm > bignum) {
+
+/*        Scale matrix norm down to BIGNUM */
+
+	zlascl_("G", &c__0, &c__0, &bnrm, &bignum, m, nrhs, &b[b_offset], ldb, 
+		 info);
+	ibscl = 2;
+    }
+
+/*     Overdetermined case */
+
+    if (*m >= *n) {
+
+/*        Path 1 - overdetermined or exactly determined */
+
+	mm = *m;
+	if (*m >= mnthr) {
+
+/*           Path 1a - overdetermined, with many more rows than columns */
+
+	    mm = *n;
+	    itau = 1;
+	    iwork = itau + *n;
+
+/*           Compute A=Q*R */
+/*           (CWorkspace: need 2*N, prefer N+N*NB) */
+/*           (RWorkspace: none) */
+
+	    i__1 = *lwork - iwork + 1;
+	    zgeqrf_(m, n, &a[a_offset], lda, &work[itau], &work[iwork], &i__1, 
+		     info);
+
+/*           Multiply B by transpose(Q) */
+/*           (CWorkspace: need N+NRHS, prefer N+NRHS*NB) */
+/*           (RWorkspace: none) */
+
+	    i__1 = *lwork - iwork + 1;
+	    zunmqr_("L", "C", m, nrhs, n, &a[a_offset], lda, &work[itau], &b[
+		    b_offset], ldb, &work[iwork], &i__1, info);
+
+/*           Zero out below R */
+
+	    if (*n > 1) {
+		i__1 = *n - 1;
+		i__2 = *n - 1;
+		zlaset_("L", &i__1, &i__2, &c_b1, &c_b1, &a[a_dim1 + 2], lda);
+	    }
+	}
+
+	ie = 1;
+	itauq = 1;
+	itaup = itauq + *n;
+	iwork = itaup + *n;
+
+/*        Bidiagonalize R in A */
+/*        (CWorkspace: need 2*N+MM, prefer 2*N+(MM+N)*NB) */
+/*        (RWorkspace: need N) */
+
+	i__1 = *lwork - iwork + 1;
+	zgebrd_(&mm, n, &a[a_offset], lda, &s[1], &rwork[ie], &work[itauq], &
+		work[itaup], &work[iwork], &i__1, info);
+
+/*        Multiply B by transpose of left bidiagonalizing vectors of R */
+/*        (CWorkspace: need 2*N+NRHS, prefer 2*N+NRHS*NB) */
+/*        (RWorkspace: none) */
+
+	i__1 = *lwork - iwork + 1;
+	zunmbr_("Q", "L", "C", &mm, nrhs, n, &a[a_offset], lda, &work[itauq], 
+		&b[b_offset], ldb, &work[iwork], &i__1, info);
+
+/*        Generate right bidiagonalizing vectors of R in A */
+/*        (CWorkspace: need 3*N-1, prefer 2*N+(N-1)*NB) */
+/*        (RWorkspace: none) */
+
+	i__1 = *lwork - iwork + 1;
+	zungbr_("P", n, n, n, &a[a_offset], lda, &work[itaup], &work[iwork], &
+		i__1, info);
+	irwork = ie + *n;
+
+/*        Perform bidiagonal QR iteration */
+/*          multiply B by transpose of left singular vectors */
+/*          compute right singular vectors in A */
+/*        (CWorkspace: none) */
+/*        (RWorkspace: need BDSPAC) */
+
+	zbdsqr_("U", n, n, &c__0, nrhs, &s[1], &rwork[ie], &a[a_offset], lda, 
+		vdum, &c__1, &b[b_offset], ldb, &rwork[irwork], info);
+	if (*info != 0) {
+	    goto L70;
+	}
+
+/*        Multiply B by reciprocals of singular values */
+
+/* Computing MAX */
+	d__1 = *rcond * s[1];
+	thr = max(d__1,sfmin);
+	if (*rcond < 0.) {
+/* Computing MAX */
+	    d__1 = eps * s[1];
+	    thr = max(d__1,sfmin);
+	}
+	*rank = 0;
+	i__1 = *n;
+	for (i__ = 1; i__ <= i__1; ++i__) {
+	    if (s[i__] > thr) {
+		zdrscl_(nrhs, &s[i__], &b[i__ + b_dim1], ldb);
+		++(*rank);
+	    } else {
+		zlaset_("F", &c__1, nrhs, &c_b1, &c_b1, &b[i__ + b_dim1], ldb);
+	    }
+/* L10: */
+	}
+
+/*        Multiply B by right singular vectors */
+/*        (CWorkspace: need N, prefer N*NRHS) */
+/*        (RWorkspace: none) */
+
+	if (*lwork >= *ldb * *nrhs && *nrhs > 1) {
+	    zgemm_("C", "N", n, nrhs, n, &c_b2, &a[a_offset], lda, &b[
+		    b_offset], ldb, &c_b1, &work[1], ldb);
+	    zlacpy_("G", n, nrhs, &work[1], ldb, &b[b_offset], ldb)
+		    ;
+	} else if (*nrhs > 1) {
+	    chunk = *lwork / *n;
+	    i__1 = *nrhs;
+	    i__2 = chunk;
+	    for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += i__2) {
+/* Computing MIN */
+		i__3 = *nrhs - i__ + 1;
+		bl = min(i__3,chunk);
+		zgemm_("C", "N", n, &bl, n, &c_b2, &a[a_offset], lda, &b[i__ *
+			 b_dim1 + 1], ldb, &c_b1, &work[1], n);
+		zlacpy_("G", n, &bl, &work[1], n, &b[i__ * b_dim1 + 1], ldb);
+/* L20: */
+	    }
+	} else {
+	    zgemv_("C", n, n, &c_b2, &a[a_offset], lda, &b[b_offset], &c__1, &
+		    c_b1, &work[1], &c__1);
+	    zcopy_(n, &work[1], &c__1, &b[b_offset], &c__1);
+	}
+
+    } else /* if(complicated condition) */ {
+/* Computing MAX */
+	i__2 = max(*m,*nrhs), i__1 = *n - (*m << 1);
+	if (*n >= mnthr && *lwork >= *m * 3 + *m * *m + max(i__2,i__1)) {
+
+/*        Underdetermined case, M much less than N */
+
+/*        Path 2a - underdetermined, with many more columns than rows */
+/*        and sufficient workspace for an efficient algorithm */
+
+	    ldwork = *m;
+/* Computing MAX */
+	    i__2 = max(*m,*nrhs), i__1 = *n - (*m << 1);
+	    if (*lwork >= *m * 3 + *m * *lda + max(i__2,i__1)) {
+		ldwork = *lda;
+	    }
+	    itau = 1;
+	    iwork = *m + 1;
+
+/*        Compute A=L*Q */
+/*        (CWorkspace: need 2*M, prefer M+M*NB) */
+/*        (RWorkspace: none) */
+
+	    i__2 = *lwork - iwork + 1;
+	    zgelqf_(m, n, &a[a_offset], lda, &work[itau], &work[iwork], &i__2, 
+		     info);
+	    il = iwork;
+
+/*        Copy L to WORK(IL), zeroing out above it */
+
+	    zlacpy_("L", m, m, &a[a_offset], lda, &work[il], &ldwork);
+	    i__2 = *m - 1;
+	    i__1 = *m - 1;
+	    zlaset_("U", &i__2, &i__1, &c_b1, &c_b1, &work[il + ldwork], &
+		    ldwork);
+	    ie = 1;
+	    itauq = il + ldwork * *m;
+	    itaup = itauq + *m;
+	    iwork = itaup + *m;
+
+/*        Bidiagonalize L in WORK(IL) */
+/*        (CWorkspace: need M*M+4*M, prefer M*M+3*M+2*M*NB) */
+/*        (RWorkspace: need M) */
+
+	    i__2 = *lwork - iwork + 1;
+	    zgebrd_(m, m, &work[il], &ldwork, &s[1], &rwork[ie], &work[itauq], 
+		     &work[itaup], &work[iwork], &i__2, info);
+
+/*        Multiply B by transpose of left bidiagonalizing vectors of L */
+/*        (CWorkspace: need M*M+3*M+NRHS, prefer M*M+3*M+NRHS*NB) */
+/*        (RWorkspace: none) */
+
+	    i__2 = *lwork - iwork + 1;
+	    zunmbr_("Q", "L", "C", m, nrhs, m, &work[il], &ldwork, &work[
+		    itauq], &b[b_offset], ldb, &work[iwork], &i__2, info);
+
+/*        Generate right bidiagonalizing vectors of R in WORK(IL) */
+/*        (CWorkspace: need M*M+4*M-1, prefer M*M+3*M+(M-1)*NB) */
+/*        (RWorkspace: none) */
+
+	    i__2 = *lwork - iwork + 1;
+	    zungbr_("P", m, m, m, &work[il], &ldwork, &work[itaup], &work[
+		    iwork], &i__2, info);
+	    irwork = ie + *m;
+
+/*        Perform bidiagonal QR iteration, computing right singular */
+/*        vectors of L in WORK(IL) and multiplying B by transpose of */
+/*        left singular vectors */
+/*        (CWorkspace: need M*M) */
+/*        (RWorkspace: need BDSPAC) */
+
+	    zbdsqr_("U", m, m, &c__0, nrhs, &s[1], &rwork[ie], &work[il], &
+		    ldwork, &a[a_offset], lda, &b[b_offset], ldb, &rwork[
+		    irwork], info);
+	    if (*info != 0) {
+		goto L70;
+	    }
+
+/*        Multiply B by reciprocals of singular values */
+
+/* Computing MAX */
+	    d__1 = *rcond * s[1];
+	    thr = max(d__1,sfmin);
+	    if (*rcond < 0.) {
+/* Computing MAX */
+		d__1 = eps * s[1];
+		thr = max(d__1,sfmin);
+	    }
+	    *rank = 0;
+	    i__2 = *m;
+	    for (i__ = 1; i__ <= i__2; ++i__) {
+		if (s[i__] > thr) {
+		    zdrscl_(nrhs, &s[i__], &b[i__ + b_dim1], ldb);
+		    ++(*rank);
+		} else {
+		    zlaset_("F", &c__1, nrhs, &c_b1, &c_b1, &b[i__ + b_dim1], 
+			    ldb);
+		}
+/* L30: */
+	    }
+	    iwork = il + *m * ldwork;
+
+/*        Multiply B by right singular vectors of L in WORK(IL) */
+/*        (CWorkspace: need M*M+2*M, prefer M*M+M+M*NRHS) */
+/*        (RWorkspace: none) */
+
+	    if (*lwork >= *ldb * *nrhs + iwork - 1 && *nrhs > 1) {
+		zgemm_("C", "N", m, nrhs, m, &c_b2, &work[il], &ldwork, &b[
+			b_offset], ldb, &c_b1, &work[iwork], ldb);
+		zlacpy_("G", m, nrhs, &work[iwork], ldb, &b[b_offset], ldb);
+	    } else if (*nrhs > 1) {
+		chunk = (*lwork - iwork + 1) / *m;
+		i__2 = *nrhs;
+		i__1 = chunk;
+		for (i__ = 1; i__1 < 0 ? i__ >= i__2 : i__ <= i__2; i__ += 
+			i__1) {
+/* Computing MIN */
+		    i__3 = *nrhs - i__ + 1;
+		    bl = min(i__3,chunk);
+		    zgemm_("C", "N", m, &bl, m, &c_b2, &work[il], &ldwork, &b[
+			    i__ * b_dim1 + 1], ldb, &c_b1, &work[iwork], m);
+		    zlacpy_("G", m, &bl, &work[iwork], m, &b[i__ * b_dim1 + 1]
+, ldb);
+/* L40: */
+		}
+	    } else {
+		zgemv_("C", m, m, &c_b2, &work[il], &ldwork, &b[b_dim1 + 1], &
+			c__1, &c_b1, &work[iwork], &c__1);
+		zcopy_(m, &work[iwork], &c__1, &b[b_dim1 + 1], &c__1);
+	    }
+
+/*        Zero out below first M rows of B */
+
+	    i__1 = *n - *m;
+	    zlaset_("F", &i__1, nrhs, &c_b1, &c_b1, &b[*m + 1 + b_dim1], ldb);
+	    iwork = itau + *m;
+
+/*        Multiply transpose(Q) by B */
+/*        (CWorkspace: need M+NRHS, prefer M+NHRS*NB) */
+/*        (RWorkspace: none) */
+
+	    i__1 = *lwork - iwork + 1;
+	    zunmlq_("L", "C", n, nrhs, m, &a[a_offset], lda, &work[itau], &b[
+		    b_offset], ldb, &work[iwork], &i__1, info);
+
+	} else {
+
+/*        Path 2 - remaining underdetermined cases */
+
+	    ie = 1;
+	    itauq = 1;
+	    itaup = itauq + *m;
+	    iwork = itaup + *m;
+
+/*        Bidiagonalize A */
+/*        (CWorkspace: need 3*M, prefer 2*M+(M+N)*NB) */
+/*        (RWorkspace: need N) */
+
+	    i__1 = *lwork - iwork + 1;
+	    zgebrd_(m, n, &a[a_offset], lda, &s[1], &rwork[ie], &work[itauq], 
+		    &work[itaup], &work[iwork], &i__1, info);
+
+/*        Multiply B by transpose of left bidiagonalizing vectors */
+/*        (CWorkspace: need 2*M+NRHS, prefer 2*M+NRHS*NB) */
+/*        (RWorkspace: none) */
+
+	    i__1 = *lwork - iwork + 1;
+	    zunmbr_("Q", "L", "C", m, nrhs, n, &a[a_offset], lda, &work[itauq]
+, &b[b_offset], ldb, &work[iwork], &i__1, info);
+
+/*        Generate right bidiagonalizing vectors in A */
+/*        (CWorkspace: need 3*M, prefer 2*M+M*NB) */
+/*        (RWorkspace: none) */
+
+	    i__1 = *lwork - iwork + 1;
+	    zungbr_("P", m, n, m, &a[a_offset], lda, &work[itaup], &work[
+		    iwork], &i__1, info);
+	    irwork = ie + *m;
+
+/*        Perform bidiagonal QR iteration, */
+/*           computing right singular vectors of A in A and */
+/*           multiplying B by transpose of left singular vectors */
+/*        (CWorkspace: none) */
+/*        (RWorkspace: need BDSPAC) */
+
+	    zbdsqr_("L", m, n, &c__0, nrhs, &s[1], &rwork[ie], &a[a_offset], 
+		    lda, vdum, &c__1, &b[b_offset], ldb, &rwork[irwork], info);
+	    if (*info != 0) {
+		goto L70;
+	    }
+
+/*        Multiply B by reciprocals of singular values */
+
+/* Computing MAX */
+	    d__1 = *rcond * s[1];
+	    thr = max(d__1,sfmin);
+	    if (*rcond < 0.) {
+/* Computing MAX */
+		d__1 = eps * s[1];
+		thr = max(d__1,sfmin);
+	    }
+	    *rank = 0;
+	    i__1 = *m;
+	    for (i__ = 1; i__ <= i__1; ++i__) {
+		if (s[i__] > thr) {
+		    zdrscl_(nrhs, &s[i__], &b[i__ + b_dim1], ldb);
+		    ++(*rank);
+		} else {
+		    zlaset_("F", &c__1, nrhs, &c_b1, &c_b1, &b[i__ + b_dim1], 
+			    ldb);
+		}
+/* L50: */
+	    }
+
+/*        Multiply B by right singular vectors of A */
+/*        (CWorkspace: need N, prefer N*NRHS) */
+/*        (RWorkspace: none) */
+
+	    if (*lwork >= *ldb * *nrhs && *nrhs > 1) {
+		zgemm_("C", "N", n, nrhs, m, &c_b2, &a[a_offset], lda, &b[
+			b_offset], ldb, &c_b1, &work[1], ldb);
+		zlacpy_("G", n, nrhs, &work[1], ldb, &b[b_offset], ldb);
+	    } else if (*nrhs > 1) {
+		chunk = *lwork / *n;
+		i__1 = *nrhs;
+		i__2 = chunk;
+		for (i__ = 1; i__2 < 0 ? i__ >= i__1 : i__ <= i__1; i__ += 
+			i__2) {
+/* Computing MIN */
+		    i__3 = *nrhs - i__ + 1;
+		    bl = min(i__3,chunk);
+		    zgemm_("C", "N", n, &bl, m, &c_b2, &a[a_offset], lda, &b[
+			    i__ * b_dim1 + 1], ldb, &c_b1, &work[1], n);
+		    zlacpy_("F", n, &bl, &work[1], n, &b[i__ * b_dim1 + 1], 
+			    ldb);
+/* L60: */
+		}
+	    } else {
+		zgemv_("C", m, n, &c_b2, &a[a_offset], lda, &b[b_offset], &
+			c__1, &c_b1, &work[1], &c__1);
+		zcopy_(n, &work[1], &c__1, &b[b_offset], &c__1);
+	    }
+	}
+    }
+
+/*     Undo scaling */
+
+    if (iascl == 1) {
+	zlascl_("G", &c__0, &c__0, &anrm, &smlnum, n, nrhs, &b[b_offset], ldb, 
+		 info);
+	dlascl_("G", &c__0, &c__0, &smlnum, &anrm, &minmn, &c__1, &s[1], &
+		minmn, info);
+    } else if (iascl == 2) {
+	zlascl_("G", &c__0, &c__0, &anrm, &bignum, n, nrhs, &b[b_offset], ldb, 
+		 info);
+	dlascl_("G", &c__0, &c__0, &bignum, &anrm, &minmn, &c__1, &s[1], &
+		minmn, info);
+    }
+    if (ibscl == 1) {
+	zlascl_("G", &c__0, &c__0, &smlnum, &bnrm, n, nrhs, &b[b_offset], ldb, 
+		 info);
+    } else if (ibscl == 2) {
+	zlascl_("G", &c__0, &c__0, &bignum, &bnrm, n, nrhs, &b[b_offset], ldb, 
+		 info);
+    }
+L70:
+    work[1].r = (doublereal) maxwrk, work[1].i = 0.;
+    return 0;
+
+/*     End of ZGELSS */
+
+} /* zgelss_ */