[] add metering mode to CLI

1 files changed, 663 insertions, 0 deletions

diff --git a/contrib/libs/clapack/clalsa.c b/contrib/libs/clapack/clalsa.c
new file mode 100644
index 0000000000..ca12b37cdc
--- /dev/null
+++ b/contrib/libs/clapack/clalsa.c
@@ -0,0 +1,663 @@
+/* clalsa.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 real c_b9 = 1.f;
+static real c_b10 = 0.f;
+static integer c__2 = 2;
+
+/* Subroutine */ int clalsa_(integer *icompq, integer *smlsiz, integer *n, 
+	integer *nrhs, complex *b, integer *ldb, complex *bx, integer *ldbx, 
+	real *u, integer *ldu, real *vt, integer *k, real *difl, real *difr, 
+	real *z__, real *poles, integer *givptr, integer *givcol, integer *
+	ldgcol, integer *perm, real *givnum, real *c__, real *s, real *rwork, 
+	integer *iwork, integer *info)
+{
+    /* System generated locals */
+    integer givcol_dim1, givcol_offset, perm_dim1, perm_offset, difl_dim1, 
+	    difl_offset, difr_dim1, difr_offset, givnum_dim1, givnum_offset, 
+	    poles_dim1, poles_offset, u_dim1, u_offset, vt_dim1, vt_offset, 
+	    z_dim1, z_offset, b_dim1, b_offset, bx_dim1, bx_offset, i__1, 
+	    i__2, i__3, i__4, i__5, i__6;
+    complex q__1;
+
+    /* Builtin functions */
+    double r_imag(complex *);
+    integer pow_ii(integer *, integer *);
+
+    /* Local variables */
+    integer i__, j, i1, ic, lf, nd, ll, nl, nr, im1, nlf, nrf, lvl, ndb1, 
+	    nlp1, lvl2, nrp1, jcol, nlvl, sqre, jrow, jimag, jreal, inode, 
+	    ndiml;
+    extern /* Subroutine */ int sgemm_(char *, char *, integer *, integer *, 
+	    integer *, real *, real *, integer *, real *, integer *, real *, 
+	    real *, integer *);
+    integer ndimr;
+    extern /* Subroutine */ int ccopy_(integer *, complex *, integer *, 
+	    complex *, integer *), clals0_(integer *, integer *, integer *, 
+	    integer *, integer *, complex *, integer *, complex *, integer *, 
+	    integer *, integer *, integer *, integer *, real *, integer *, 
+	    real *, real *, real *, real *, integer *, real *, real *, real *, 
+	     integer *), xerbla_(char *, integer *), slasdt_(integer *
+, integer *, integer *, integer *, integer *, integer *, integer *
+);
+
+
+/*  -- LAPACK routine (version 3.2) -- */
+/*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
+/*     November 2006 */
+
+/*     .. Scalar Arguments .. */
+/*     .. */
+/*     .. Array Arguments .. */
+/*     .. */
+
+/*  Purpose */
+/*  ======= */
+
+/*  CLALSA is an itermediate step in solving the least squares problem */
+/*  by computing the SVD of the coefficient matrix in compact form (The */
+/*  singular vectors are computed as products of simple orthorgonal */
+/*  matrices.). */
+
+/*  If ICOMPQ = 0, CLALSA applies the inverse of the left singular vector */
+/*  matrix of an upper bidiagonal matrix to the right hand side; and if */
+/*  ICOMPQ = 1, CLALSA applies the right singular vector matrix to the */
+/*  right hand side. The singular vector matrices were generated in */
+/*  compact form by CLALSA. */
+
+/*  Arguments */
+/*  ========= */
+
+/*  ICOMPQ (input) INTEGER */
+/*         Specifies whether the left or the right singular vector */
+/*         matrix is involved. */
+/*         = 0: Left singular vector matrix */
+/*         = 1: Right singular vector matrix */
+
+/*  SMLSIZ (input) INTEGER */
+/*         The maximum size of the subproblems at the bottom of the */
+/*         computation tree. */
+
+/*  N      (input) INTEGER */
+/*         The row and column dimensions of the upper bidiagonal matrix. */
+
+/*  NRHS   (input) INTEGER */
+/*         The number of columns of B and BX. NRHS must be at least 1. */
+
+/*  B      (input/output) COMPLEX array, dimension ( LDB, NRHS ) */
+/*         On input, B contains the right hand sides of the least */
+/*         squares problem in rows 1 through M. */
+/*         On output, B contains the solution X in rows 1 through N. */
+
+/*  LDB    (input) INTEGER */
+/*         The leading dimension of B in the calling subprogram. */
+/*         LDB must be at least max(1,MAX( M, N ) ). */
+
+/*  BX     (output) COMPLEX array, dimension ( LDBX, NRHS ) */
+/*         On exit, the result of applying the left or right singular */
+/*         vector matrix to B. */
+
+/*  LDBX   (input) INTEGER */
+/*         The leading dimension of BX. */
+
+/*  U      (input) REAL array, dimension ( LDU, SMLSIZ ). */
+/*         On entry, U contains the left singular vector matrices of all */
+/*         subproblems at the bottom level. */
+
+/*  LDU    (input) INTEGER, LDU = > N. */
+/*         The leading dimension of arrays U, VT, DIFL, DIFR, */
+/*         POLES, GIVNUM, and Z. */
+
+/*  VT     (input) REAL array, dimension ( LDU, SMLSIZ+1 ). */
+/*         On entry, VT' contains the right singular vector matrices of */
+/*         all subproblems at the bottom level. */
+
+/*  K      (input) INTEGER array, dimension ( N ). */
+
+/*  DIFL   (input) REAL array, dimension ( LDU, NLVL ). */
+/*         where NLVL = INT(log_2 (N/(SMLSIZ+1))) + 1. */
+
+/*  DIFR   (input) REAL array, dimension ( LDU, 2 * NLVL ). */
+/*         On entry, DIFL(*, I) and DIFR(*, 2 * I -1) record */
+/*         distances between singular values on the I-th level and */
+/*         singular values on the (I -1)-th level, and DIFR(*, 2 * I) */
+/*         record the normalizing factors of the right singular vectors */
+/*         matrices of subproblems on I-th level. */
+
+/*  Z      (input) REAL array, dimension ( LDU, NLVL ). */
+/*         On entry, Z(1, I) contains the components of the deflation- */
+/*         adjusted updating row vector for subproblems on the I-th */
+/*         level. */
+
+/*  POLES  (input) REAL array, dimension ( LDU, 2 * NLVL ). */
+/*         On entry, POLES(*, 2 * I -1: 2 * I) contains the new and old */
+/*         singular values involved in the secular equations on the I-th */
+/*         level. */
+
+/*  GIVPTR (input) INTEGER array, dimension ( N ). */
+/*         On entry, GIVPTR( I ) records the number of Givens */
+/*         rotations performed on the I-th problem on the computation */
+/*         tree. */
+
+/*  GIVCOL (input) INTEGER array, dimension ( LDGCOL, 2 * NLVL ). */
+/*         On entry, for each I, GIVCOL(*, 2 * I - 1: 2 * I) records the */
+/*         locations of Givens rotations performed on the I-th level on */
+/*         the computation tree. */
+
+/*  LDGCOL (input) INTEGER, LDGCOL = > N. */
+/*         The leading dimension of arrays GIVCOL and PERM. */
+
+/*  PERM   (input) INTEGER array, dimension ( LDGCOL, NLVL ). */
+/*         On entry, PERM(*, I) records permutations done on the I-th */
+/*         level of the computation tree. */
+
+/*  GIVNUM (input) REAL array, dimension ( LDU, 2 * NLVL ). */
+/*         On entry, GIVNUM(*, 2 *I -1 : 2 * I) records the C- and S- */
+/*         values of Givens rotations performed on the I-th level on the */
+/*         computation tree. */
+
+/*  C      (input) REAL array, dimension ( N ). */
+/*         On entry, if the I-th subproblem is not square, */
+/*         C( I ) contains the C-value of a Givens rotation related to */
+/*         the right null space of the I-th subproblem. */
+
+/*  S      (input) REAL array, dimension ( N ). */
+/*         On entry, if the I-th subproblem is not square, */
+/*         S( I ) contains the S-value of a Givens rotation related to */
+/*         the right null space of the I-th subproblem. */
+
+/*  RWORK  (workspace) REAL array, dimension at least */
+/*         max ( N, (SMLSZ+1)*NRHS*3 ). */
+
+/*  IWORK  (workspace) INTEGER array. */
+/*         The dimension must be at least 3 * N */
+
+/*  INFO   (output) INTEGER */
+/*          = 0:  successful exit. */
+/*          < 0:  if INFO = -i, the i-th argument had an illegal value. */
+
+/*  Further Details */
+/*  =============== */
+
+/*  Based on contributions by */
+/*     Ming Gu and Ren-Cang Li, Computer Science Division, University of */
+/*       California at Berkeley, USA */
+/*     Osni Marques, LBNL/NERSC, USA */
+
+/*  ===================================================================== */
+
+/*     .. Parameters .. */
+/*     .. */
+/*     .. Local Scalars .. */
+/*     .. */
+/*     .. External Subroutines .. */
+/*     .. */
+/*     .. Intrinsic Functions .. */
+/*     .. */
+/*     .. Executable Statements .. */
+
+/*     Test the input parameters. */
+
+    /* Parameter adjustments */
+    b_dim1 = *ldb;
+    b_offset = 1 + b_dim1;
+    b -= b_offset;
+    bx_dim1 = *ldbx;
+    bx_offset = 1 + bx_dim1;
+    bx -= bx_offset;
+    givnum_dim1 = *ldu;
+    givnum_offset = 1 + givnum_dim1;
+    givnum -= givnum_offset;
+    poles_dim1 = *ldu;
+    poles_offset = 1 + poles_dim1;
+    poles -= poles_offset;
+    z_dim1 = *ldu;
+    z_offset = 1 + z_dim1;
+    z__ -= z_offset;
+    difr_dim1 = *ldu;
+    difr_offset = 1 + difr_dim1;
+    difr -= difr_offset;
+    difl_dim1 = *ldu;
+    difl_offset = 1 + difl_dim1;
+    difl -= difl_offset;
+    vt_dim1 = *ldu;
+    vt_offset = 1 + vt_dim1;
+    vt -= vt_offset;
+    u_dim1 = *ldu;
+    u_offset = 1 + u_dim1;
+    u -= u_offset;
+    --k;
+    --givptr;
+    perm_dim1 = *ldgcol;
+    perm_offset = 1 + perm_dim1;
+    perm -= perm_offset;
+    givcol_dim1 = *ldgcol;
+    givcol_offset = 1 + givcol_dim1;
+    givcol -= givcol_offset;
+    --c__;
+    --s;
+    --rwork;
+    --iwork;
+
+    /* Function Body */
+    *info = 0;
+
+    if (*icompq < 0 || *icompq > 1) {
+	*info = -1;
+    } else if (*smlsiz < 3) {
+	*info = -2;
+    } else if (*n < *smlsiz) {
+	*info = -3;
+    } else if (*nrhs < 1) {
+	*info = -4;
+    } else if (*ldb < *n) {
+	*info = -6;
+    } else if (*ldbx < *n) {
+	*info = -8;
+    } else if (*ldu < *n) {
+	*info = -10;
+    } else if (*ldgcol < *n) {
+	*info = -19;
+    }
+    if (*info != 0) {
+	i__1 = -(*info);
+	xerbla_("CLALSA", &i__1);
+	return 0;
+    }
+
+/*     Book-keeping and  setting up the computation tree. */
+
+    inode = 1;
+    ndiml = inode + *n;
+    ndimr = ndiml + *n;
+
+    slasdt_(n, &nlvl, &nd, &iwork[inode], &iwork[ndiml], &iwork[ndimr], 
+	    smlsiz);
+
+/*     The following code applies back the left singular vector factors. */
+/*     For applying back the right singular vector factors, go to 170. */
+
+    if (*icompq == 1) {
+	goto L170;
+    }
+
+/*     The nodes on the bottom level of the tree were solved */
+/*     by SLASDQ. The corresponding left and right singular vector */
+/*     matrices are in explicit form. First apply back the left */
+/*     singular vector matrices. */
+
+    ndb1 = (nd + 1) / 2;
+    i__1 = nd;
+    for (i__ = ndb1; i__ <= i__1; ++i__) {
+
+/*        IC : center row of each node */
+/*        NL : number of rows of left  subproblem */
+/*        NR : number of rows of right subproblem */
+/*        NLF: starting row of the left   subproblem */
+/*        NRF: starting row of the right  subproblem */
+
+	i1 = i__ - 1;
+	ic = iwork[inode + i1];
+	nl = iwork[ndiml + i1];
+	nr = iwork[ndimr + i1];
+	nlf = ic - nl;
+	nrf = ic + 1;
+
+/*        Since B and BX are complex, the following call to SGEMM */
+/*        is performed in two steps (real and imaginary parts). */
+
+/*        CALL SGEMM( 'T', 'N', NL, NRHS, NL, ONE, U( NLF, 1 ), LDU, */
+/*     $               B( NLF, 1 ), LDB, ZERO, BX( NLF, 1 ), LDBX ) */
+
+	j = nl * *nrhs << 1;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nlf + nl - 1;
+	    for (jrow = nlf; jrow <= i__3; ++jrow) {
+		++j;
+		i__4 = jrow + jcol * b_dim1;
+		rwork[j] = b[i__4].r;
+/* L10: */
+	    }
+/* L20: */
+	}
+	sgemm_("T", "N", &nl, nrhs, &nl, &c_b9, &u[nlf + u_dim1], ldu, &rwork[
+		(nl * *nrhs << 1) + 1], &nl, &c_b10, &rwork[1], &nl);
+	j = nl * *nrhs << 1;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nlf + nl - 1;
+	    for (jrow = nlf; jrow <= i__3; ++jrow) {
+		++j;
+		rwork[j] = r_imag(&b[jrow + jcol * b_dim1]);
+/* L30: */
+	    }
+/* L40: */
+	}
+	sgemm_("T", "N", &nl, nrhs, &nl, &c_b9, &u[nlf + u_dim1], ldu, &rwork[
+		(nl * *nrhs << 1) + 1], &nl, &c_b10, &rwork[nl * *nrhs + 1], &
+		nl);
+	jreal = 0;
+	jimag = nl * *nrhs;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nlf + nl - 1;
+	    for (jrow = nlf; jrow <= i__3; ++jrow) {
+		++jreal;
+		++jimag;
+		i__4 = jrow + jcol * bx_dim1;
+		i__5 = jreal;
+		i__6 = jimag;
+		q__1.r = rwork[i__5], q__1.i = rwork[i__6];
+		bx[i__4].r = q__1.r, bx[i__4].i = q__1.i;
+/* L50: */
+	    }
+/* L60: */
+	}
+
+/*        Since B and BX are complex, the following call to SGEMM */
+/*        is performed in two steps (real and imaginary parts). */
+
+/*        CALL SGEMM( 'T', 'N', NR, NRHS, NR, ONE, U( NRF, 1 ), LDU, */
+/*    $               B( NRF, 1 ), LDB, ZERO, BX( NRF, 1 ), LDBX ) */
+
+	j = nr * *nrhs << 1;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nrf + nr - 1;
+	    for (jrow = nrf; jrow <= i__3; ++jrow) {
+		++j;
+		i__4 = jrow + jcol * b_dim1;
+		rwork[j] = b[i__4].r;
+/* L70: */
+	    }
+/* L80: */
+	}
+	sgemm_("T", "N", &nr, nrhs, &nr, &c_b9, &u[nrf + u_dim1], ldu, &rwork[
+		(nr * *nrhs << 1) + 1], &nr, &c_b10, &rwork[1], &nr);
+	j = nr * *nrhs << 1;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nrf + nr - 1;
+	    for (jrow = nrf; jrow <= i__3; ++jrow) {
+		++j;
+		rwork[j] = r_imag(&b[jrow + jcol * b_dim1]);
+/* L90: */
+	    }
+/* L100: */
+	}
+	sgemm_("T", "N", &nr, nrhs, &nr, &c_b9, &u[nrf + u_dim1], ldu, &rwork[
+		(nr * *nrhs << 1) + 1], &nr, &c_b10, &rwork[nr * *nrhs + 1], &
+		nr);
+	jreal = 0;
+	jimag = nr * *nrhs;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nrf + nr - 1;
+	    for (jrow = nrf; jrow <= i__3; ++jrow) {
+		++jreal;
+		++jimag;
+		i__4 = jrow + jcol * bx_dim1;
+		i__5 = jreal;
+		i__6 = jimag;
+		q__1.r = rwork[i__5], q__1.i = rwork[i__6];
+		bx[i__4].r = q__1.r, bx[i__4].i = q__1.i;
+/* L110: */
+	    }
+/* L120: */
+	}
+
+/* L130: */
+    }
+
+/*     Next copy the rows of B that correspond to unchanged rows */
+/*     in the bidiagonal matrix to BX. */
+
+    i__1 = nd;
+    for (i__ = 1; i__ <= i__1; ++i__) {
+	ic = iwork[inode + i__ - 1];
+	ccopy_(nrhs, &b[ic + b_dim1], ldb, &bx[ic + bx_dim1], ldbx);
+/* L140: */
+    }
+
+/*     Finally go through the left singular vector matrices of all */
+/*     the other subproblems bottom-up on the tree. */
+
+    j = pow_ii(&c__2, &nlvl);
+    sqre = 0;
+
+    for (lvl = nlvl; lvl >= 1; --lvl) {
+	lvl2 = (lvl << 1) - 1;
+
+/*        find the first node LF and last node LL on */
+/*        the current level LVL */
+
+	if (lvl == 1) {
+	    lf = 1;
+	    ll = 1;
+	} else {
+	    i__1 = lvl - 1;
+	    lf = pow_ii(&c__2, &i__1);
+	    ll = (lf << 1) - 1;
+	}
+	i__1 = ll;
+	for (i__ = lf; i__ <= i__1; ++i__) {
+	    im1 = i__ - 1;
+	    ic = iwork[inode + im1];
+	    nl = iwork[ndiml + im1];
+	    nr = iwork[ndimr + im1];
+	    nlf = ic - nl;
+	    nrf = ic + 1;
+	    --j;
+	    clals0_(icompq, &nl, &nr, &sqre, nrhs, &bx[nlf + bx_dim1], ldbx, &
+		    b[nlf + b_dim1], ldb, &perm[nlf + lvl * perm_dim1], &
+		    givptr[j], &givcol[nlf + lvl2 * givcol_dim1], ldgcol, &
+		    givnum[nlf + lvl2 * givnum_dim1], ldu, &poles[nlf + lvl2 *
+		     poles_dim1], &difl[nlf + lvl * difl_dim1], &difr[nlf + 
+		    lvl2 * difr_dim1], &z__[nlf + lvl * z_dim1], &k[j], &c__[
+		    j], &s[j], &rwork[1], info);
+/* L150: */
+	}
+/* L160: */
+    }
+    goto L330;
+
+/*     ICOMPQ = 1: applying back the right singular vector factors. */
+
+L170:
+
+/*     First now go through the right singular vector matrices of all */
+/*     the tree nodes top-down. */
+
+    j = 0;
+    i__1 = nlvl;
+    for (lvl = 1; lvl <= i__1; ++lvl) {
+	lvl2 = (lvl << 1) - 1;
+
+/*        Find the first node LF and last node LL on */
+/*        the current level LVL. */
+
+	if (lvl == 1) {
+	    lf = 1;
+	    ll = 1;
+	} else {
+	    i__2 = lvl - 1;
+	    lf = pow_ii(&c__2, &i__2);
+	    ll = (lf << 1) - 1;
+	}
+	i__2 = lf;
+	for (i__ = ll; i__ >= i__2; --i__) {
+	    im1 = i__ - 1;
+	    ic = iwork[inode + im1];
+	    nl = iwork[ndiml + im1];
+	    nr = iwork[ndimr + im1];
+	    nlf = ic - nl;
+	    nrf = ic + 1;
+	    if (i__ == ll) {
+		sqre = 0;
+	    } else {
+		sqre = 1;
+	    }
+	    ++j;
+	    clals0_(icompq, &nl, &nr, &sqre, nrhs, &b[nlf + b_dim1], ldb, &bx[
+		    nlf + bx_dim1], ldbx, &perm[nlf + lvl * perm_dim1], &
+		    givptr[j], &givcol[nlf + lvl2 * givcol_dim1], ldgcol, &
+		    givnum[nlf + lvl2 * givnum_dim1], ldu, &poles[nlf + lvl2 *
+		     poles_dim1], &difl[nlf + lvl * difl_dim1], &difr[nlf + 
+		    lvl2 * difr_dim1], &z__[nlf + lvl * z_dim1], &k[j], &c__[
+		    j], &s[j], &rwork[1], info);
+/* L180: */
+	}
+/* L190: */
+    }
+
+/*     The nodes on the bottom level of the tree were solved */
+/*     by SLASDQ. The corresponding right singular vector */
+/*     matrices are in explicit form. Apply them back. */
+
+    ndb1 = (nd + 1) / 2;
+    i__1 = nd;
+    for (i__ = ndb1; i__ <= i__1; ++i__) {
+	i1 = i__ - 1;
+	ic = iwork[inode + i1];
+	nl = iwork[ndiml + i1];
+	nr = iwork[ndimr + i1];
+	nlp1 = nl + 1;
+	if (i__ == nd) {
+	    nrp1 = nr;
+	} else {
+	    nrp1 = nr + 1;
+	}
+	nlf = ic - nl;
+	nrf = ic + 1;
+
+/*        Since B and BX are complex, the following call to SGEMM is */
+/*        performed in two steps (real and imaginary parts). */
+
+/*        CALL SGEMM( 'T', 'N', NLP1, NRHS, NLP1, ONE, VT( NLF, 1 ), LDU, */
+/*    $               B( NLF, 1 ), LDB, ZERO, BX( NLF, 1 ), LDBX ) */
+
+	j = nlp1 * *nrhs << 1;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nlf + nlp1 - 1;
+	    for (jrow = nlf; jrow <= i__3; ++jrow) {
+		++j;
+		i__4 = jrow + jcol * b_dim1;
+		rwork[j] = b[i__4].r;
+/* L200: */
+	    }
+/* L210: */
+	}
+	sgemm_("T", "N", &nlp1, nrhs, &nlp1, &c_b9, &vt[nlf + vt_dim1], ldu, &
+		rwork[(nlp1 * *nrhs << 1) + 1], &nlp1, &c_b10, &rwork[1], &
+		nlp1);
+	j = nlp1 * *nrhs << 1;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nlf + nlp1 - 1;
+	    for (jrow = nlf; jrow <= i__3; ++jrow) {
+		++j;
+		rwork[j] = r_imag(&b[jrow + jcol * b_dim1]);
+/* L220: */
+	    }
+/* L230: */
+	}
+	sgemm_("T", "N", &nlp1, nrhs, &nlp1, &c_b9, &vt[nlf + vt_dim1], ldu, &
+		rwork[(nlp1 * *nrhs << 1) + 1], &nlp1, &c_b10, &rwork[nlp1 * *
+		nrhs + 1], &nlp1);
+	jreal = 0;
+	jimag = nlp1 * *nrhs;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nlf + nlp1 - 1;
+	    for (jrow = nlf; jrow <= i__3; ++jrow) {
+		++jreal;
+		++jimag;
+		i__4 = jrow + jcol * bx_dim1;
+		i__5 = jreal;
+		i__6 = jimag;
+		q__1.r = rwork[i__5], q__1.i = rwork[i__6];
+		bx[i__4].r = q__1.r, bx[i__4].i = q__1.i;
+/* L240: */
+	    }
+/* L250: */
+	}
+
+/*        Since B and BX are complex, the following call to SGEMM is */
+/*        performed in two steps (real and imaginary parts). */
+
+/*        CALL SGEMM( 'T', 'N', NRP1, NRHS, NRP1, ONE, VT( NRF, 1 ), LDU, */
+/*    $               B( NRF, 1 ), LDB, ZERO, BX( NRF, 1 ), LDBX ) */
+
+	j = nrp1 * *nrhs << 1;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nrf + nrp1 - 1;
+	    for (jrow = nrf; jrow <= i__3; ++jrow) {
+		++j;
+		i__4 = jrow + jcol * b_dim1;
+		rwork[j] = b[i__4].r;
+/* L260: */
+	    }
+/* L270: */
+	}
+	sgemm_("T", "N", &nrp1, nrhs, &nrp1, &c_b9, &vt[nrf + vt_dim1], ldu, &
+		rwork[(nrp1 * *nrhs << 1) + 1], &nrp1, &c_b10, &rwork[1], &
+		nrp1);
+	j = nrp1 * *nrhs << 1;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nrf + nrp1 - 1;
+	    for (jrow = nrf; jrow <= i__3; ++jrow) {
+		++j;
+		rwork[j] = r_imag(&b[jrow + jcol * b_dim1]);
+/* L280: */
+	    }
+/* L290: */
+	}
+	sgemm_("T", "N", &nrp1, nrhs, &nrp1, &c_b9, &vt[nrf + vt_dim1], ldu, &
+		rwork[(nrp1 * *nrhs << 1) + 1], &nrp1, &c_b10, &rwork[nrp1 * *
+		nrhs + 1], &nrp1);
+	jreal = 0;
+	jimag = nrp1 * *nrhs;
+	i__2 = *nrhs;
+	for (jcol = 1; jcol <= i__2; ++jcol) {
+	    i__3 = nrf + nrp1 - 1;
+	    for (jrow = nrf; jrow <= i__3; ++jrow) {
+		++jreal;
+		++jimag;
+		i__4 = jrow + jcol * bx_dim1;
+		i__5 = jreal;
+		i__6 = jimag;
+		q__1.r = rwork[i__5], q__1.i = rwork[i__6];
+		bx[i__4].r = q__1.r, bx[i__4].i = q__1.i;
+/* L300: */
+	    }
+/* L310: */
+	}
+
+/* L320: */
+    }
+
+L330:
+
+    return 0;
+
+/*     End of CLALSA */
+
+} /* clalsa_ */