/*  -- translated by f2c (version 20201020 (for_lapack)). -- */

#include "f2c.h"

//> \brief \b DLARFB applies a block reflector or its transpose to a general rectangular matrix.
//
// =========== DOCUMENTATION ===========
//
// Online html documentation available at
//           http://www.netlib.org/lapack/explore-html/
//
//> \htmlonly
//> Download DLARFB + dependencies
//> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlarfb.f">
//> [TGZ]</a>
//> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlarfb.f">
//> [ZIP]</a>
//> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlarfb.f">
//> [TXT]</a>
//> \endhtmlonly
//
// Definition:
// ===========
//
//      SUBROUTINE DLARFB( SIDE, TRANS, DIRECT, STOREV, M, N, K, V, LDV,
//                         T, LDT, C, LDC, WORK, LDWORK )
//
//      .. Scalar Arguments ..
//      CHARACTER          DIRECT, SIDE, STOREV, TRANS
//      INTEGER            K, LDC, LDT, LDV, LDWORK, M, N
//      ..
//      .. Array Arguments ..
//      DOUBLE PRECISION   C( LDC, * ), T( LDT, * ), V( LDV, * ),
//     $                   WORK( LDWORK, * )
//      ..
//
//
//> \par Purpose:
// =============
//>
//> \verbatim
//>
//> DLARFB applies a real block reflector H or its transpose H**T to a
//> real m by n matrix C, from either the left or the right.
//> \endverbatim
//
// Arguments:
// ==========
//
//> \param[in] SIDE
//> \verbatim
//>          SIDE is CHARACTER*1
//>          = 'L': apply H or H**T from the Left
//>          = 'R': apply H or H**T from the Right
//> \endverbatim
//>
//> \param[in] TRANS
//> \verbatim
//>          TRANS is CHARACTER*1
//>          = 'N': apply H (No transpose)
//>          = 'T': apply H**T (Transpose)
//> \endverbatim
//>
//> \param[in] DIRECT
//> \verbatim
//>          DIRECT is CHARACTER*1
//>          Indicates how H is formed from a product of elementary
//>          reflectors
//>          = 'F': H = H(1) H(2) . . . H(k) (Forward)
//>          = 'B': H = H(k) . . . H(2) H(1) (Backward)
//> \endverbatim
//>
//> \param[in] STOREV
//> \verbatim
//>          STOREV is CHARACTER*1
//>          Indicates how the vectors which define the elementary
//>          reflectors are stored:
//>          = 'C': Columnwise
//>          = 'R': Rowwise
//> \endverbatim
//>
//> \param[in] M
//> \verbatim
//>          M is INTEGER
//>          The number of rows of the matrix C.
//> \endverbatim
//>
//> \param[in] N
//> \verbatim
//>          N is INTEGER
//>          The number of columns of the matrix C.
//> \endverbatim
//>
//> \param[in] K
//> \verbatim
//>          K is INTEGER
//>          The order of the matrix T (= the number of elementary
//>          reflectors whose product defines the block reflector).
//>          If SIDE = 'L', M >= K >= 0;
//>          if SIDE = 'R', N >= K >= 0.
//> \endverbatim
//>
//> \param[in] V
//> \verbatim
//>          V is DOUBLE PRECISION array, dimension
//>                                (LDV,K) if STOREV = 'C'
//>                                (LDV,M) if STOREV = 'R' and SIDE = 'L'
//>                                (LDV,N) if STOREV = 'R' and SIDE = 'R'
//>          The matrix V. See Further Details.
//> \endverbatim
//>
//> \param[in] LDV
//> \verbatim
//>          LDV is INTEGER
//>          The leading dimension of the array V.
//>          If STOREV = 'C' and SIDE = 'L', LDV >= max(1,M);
//>          if STOREV = 'C' and SIDE = 'R', LDV >= max(1,N);
//>          if STOREV = 'R', LDV >= K.
//> \endverbatim
//>
//> \param[in] T
//> \verbatim
//>          T is DOUBLE PRECISION array, dimension (LDT,K)
//>          The triangular k by k matrix T in the representation of the
//>          block reflector.
//> \endverbatim
//>
//> \param[in] LDT
//> \verbatim
//>          LDT is INTEGER
//>          The leading dimension of the array T. LDT >= K.
//> \endverbatim
//>
//> \param[in,out] C
//> \verbatim
//>          C is DOUBLE PRECISION array, dimension (LDC,N)
//>          On entry, the m by n matrix C.
//>          On exit, C is overwritten by H*C or H**T*C or C*H or C*H**T.
//> \endverbatim
//>
//> \param[in] LDC
//> \verbatim
//>          LDC is INTEGER
//>          The leading dimension of the array C. LDC >= max(1,M).
//> \endverbatim
//>
//> \param[out] WORK
//> \verbatim
//>          WORK is DOUBLE PRECISION array, dimension (LDWORK,K)
//> \endverbatim
//>
//> \param[in] LDWORK
//> \verbatim
//>          LDWORK is INTEGER
//>          The leading dimension of the array WORK.
//>          If SIDE = 'L', LDWORK >= max(1,N);
//>          if SIDE = 'R', LDWORK >= max(1,M).
//> \endverbatim
//
// Authors:
// ========
//
//> \author Univ. of Tennessee
//> \author Univ. of California Berkeley
//> \author Univ. of Colorado Denver
//> \author NAG Ltd.
//
//> \date June 2013
//
//> \ingroup doubleOTHERauxiliary
//
//> \par Further Details:
// =====================
//>
//> \verbatim
//>
//>  The shape of the matrix V and the storage of the vectors which define
//>  the H(i) is best illustrated by the following example with n = 5 and
//>  k = 3. The elements equal to 1 are not stored; the corresponding
//>  array elements are modified but restored on exit. The rest of the
//>  array is not used.
//>
//>  DIRECT = 'F' and STOREV = 'C':         DIRECT = 'F' and STOREV = 'R':
//>
//>               V = (  1       )                 V = (  1 v1 v1 v1 v1 )
//>                   ( v1  1    )                     (     1 v2 v2 v2 )
//>                   ( v1 v2  1 )                     (        1 v3 v3 )
//>                   ( v1 v2 v3 )
//>                   ( v1 v2 v3 )
//>
//>  DIRECT = 'B' and STOREV = 'C':         DIRECT = 'B' and STOREV = 'R':
//>
//>               V = ( v1 v2 v3 )                 V = ( v1 v1  1       )
//>                   ( v1 v2 v3 )                     ( v2 v2 v2  1    )
//>                   (  1 v2 v3 )                     ( v3 v3 v3 v3  1 )
//>                   (     1 v3 )
//>                   (        1 )
//> \endverbatim
//>
// =====================================================================
/* Subroutine */ int dlarfb_(char *side, char *trans, char *direct, char *
	storev, int *m, int *n, int *k, double *v, int *ldv, double *t, int *
	ldt, double *c__, int *ldc, double *work, int *ldwork)
{
    // Table of constant values
    int c__1 = 1;
    double c_b14 = 1.;
    double c_b25 = -1.;

    // System generated locals
    int c_dim1, c_offset, t_dim1, t_offset, v_dim1, v_offset, work_dim1,
	    work_offset, i__1, i__2;

    // Local variables
    int i__, j;
    extern /* Subroutine */ int dgemm_(char *, char *, int *, int *, int *,
	    double *, double *, int *, double *, int *, double *, double *,
	    int *);
    extern int lsame_(char *, char *);
    extern /* Subroutine */ int dcopy_(int *, double *, int *, double *, int *
	    ), dtrmm_(char *, char *, char *, char *, int *, int *, double *,
	    double *, int *, double *, int *);
    char transt[1+1]={'\0'};

    //
    // -- LAPACK auxiliary routine (version 3.7.0) --
    // -- LAPACK is a software package provided by Univ. of Tennessee,    --
    // -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
    //    June 2013
    //
    //    .. Scalar Arguments ..
    //    ..
    //    .. Array Arguments ..
    //    ..
    //
    // =====================================================================
    //
    //    .. Parameters ..
    //    ..
    //    .. Local Scalars ..
    //    ..
    //    .. External Functions ..
    //    ..
    //    .. External Subroutines ..
    //    ..
    //    .. Executable Statements ..
    //
    //    Quick return if possible
    //
    // Parameter adjustments
    v_dim1 = *ldv;
    v_offset = 1 + v_dim1;
    v -= v_offset;
    t_dim1 = *ldt;
    t_offset = 1 + t_dim1;
    t -= t_offset;
    c_dim1 = *ldc;
    c_offset = 1 + c_dim1;
    c__ -= c_offset;
    work_dim1 = *ldwork;
    work_offset = 1 + work_dim1;
    work -= work_offset;

    // Function Body
    if (*m <= 0 || *n <= 0) {
	return 0;
    }
    if (lsame_(trans, "N")) {
	*(unsigned char *)transt = 'T';
    } else {
	*(unsigned char *)transt = 'N';
    }
    if (lsame_(storev, "C")) {
	if (lsame_(direct, "F")) {
	    //
	    //          Let  V =  ( V1 )    (first K rows)
	    //                    ( V2 )
	    //          where  V1  is unit lower triangular.
	    //
	    if (lsame_(side, "L")) {
		//
		//             Form  H * C  or  H**T * C  where  C = ( C1 )
		//                                                   ( C2 )
		//
		//             W := C**T * V  =  (C1**T * V1 + C2**T * V2)  (stored in WORK)
		//
		//             W := C1**T
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    dcopy_(n, &c__[j + c_dim1], ldc, &work[j * work_dim1 + 1],
			     &c__1);
// L10:
		}
		//
		//             W := W * V1
		//
		dtrmm_("Right", "Lower", "No transpose", "Unit", n, k, &c_b14,
			 &v[v_offset], ldv, &work[work_offset], ldwork);
		if (*m > *k) {
		    //
		    //                W := W + C2**T * V2
		    //
		    i__1 = *m - *k;
		    dgemm_("Transpose", "No transpose", n, k, &i__1, &c_b14, &
			    c__[*k + 1 + c_dim1], ldc, &v[*k + 1 + v_dim1],
			    ldv, &c_b14, &work[work_offset], ldwork);
		}
		//
		//             W := W * T**T  or  W * T
		//
		dtrmm_("Right", "Upper", transt, "Non-unit", n, k, &c_b14, &t[
			t_offset], ldt, &work[work_offset], ldwork);
		//
		//             C := C - V * W**T
		//
		if (*m > *k) {
		    //
		    //                C2 := C2 - V2 * W**T
		    //
		    i__1 = *m - *k;
		    dgemm_("No transpose", "Transpose", &i__1, n, k, &c_b25, &
			    v[*k + 1 + v_dim1], ldv, &work[work_offset],
			    ldwork, &c_b14, &c__[*k + 1 + c_dim1], ldc);
		}
		//
		//             W := W * V1**T
		//
		dtrmm_("Right", "Lower", "Transpose", "Unit", n, k, &c_b14, &
			v[v_offset], ldv, &work[work_offset], ldwork);
		//
		//             C1 := C1 - W**T
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    i__2 = *n;
		    for (i__ = 1; i__ <= i__2; ++i__) {
			c__[j + i__ * c_dim1] -= work[i__ + j * work_dim1];
// L20:
		    }
// L30:
		}
	    } else if (lsame_(side, "R")) {
		//
		//             Form  C * H  or  C * H**T  where  C = ( C1  C2 )
		//
		//             W := C * V  =  (C1*V1 + C2*V2)  (stored in WORK)
		//
		//             W := C1
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    dcopy_(m, &c__[j * c_dim1 + 1], &c__1, &work[j *
			    work_dim1 + 1], &c__1);
// L40:
		}
		//
		//             W := W * V1
		//
		dtrmm_("Right", "Lower", "No transpose", "Unit", m, k, &c_b14,
			 &v[v_offset], ldv, &work[work_offset], ldwork);
		if (*n > *k) {
		    //
		    //                W := W + C2 * V2
		    //
		    i__1 = *n - *k;
		    dgemm_("No transpose", "No transpose", m, k, &i__1, &
			    c_b14, &c__[(*k + 1) * c_dim1 + 1], ldc, &v[*k +
			    1 + v_dim1], ldv, &c_b14, &work[work_offset],
			    ldwork);
		}
		//
		//             W := W * T  or  W * T**T
		//
		dtrmm_("Right", "Upper", trans, "Non-unit", m, k, &c_b14, &t[
			t_offset], ldt, &work[work_offset], ldwork);
		//
		//             C := C - W * V**T
		//
		if (*n > *k) {
		    //
		    //                C2 := C2 - W * V2**T
		    //
		    i__1 = *n - *k;
		    dgemm_("No transpose", "Transpose", m, &i__1, k, &c_b25, &
			    work[work_offset], ldwork, &v[*k + 1 + v_dim1],
			    ldv, &c_b14, &c__[(*k + 1) * c_dim1 + 1], ldc);
		}
		//
		//             W := W * V1**T
		//
		dtrmm_("Right", "Lower", "Transpose", "Unit", m, k, &c_b14, &
			v[v_offset], ldv, &work[work_offset], ldwork);
		//
		//             C1 := C1 - W
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    i__2 = *m;
		    for (i__ = 1; i__ <= i__2; ++i__) {
			c__[i__ + j * c_dim1] -= work[i__ + j * work_dim1];
// L50:
		    }
// L60:
		}
	    }
	} else {
	    //
	    //          Let  V =  ( V1 )
	    //                    ( V2 )    (last K rows)
	    //          where  V2  is unit upper triangular.
	    //
	    if (lsame_(side, "L")) {
		//
		//             Form  H * C  or  H**T * C  where  C = ( C1 )
		//                                                   ( C2 )
		//
		//             W := C**T * V  =  (C1**T * V1 + C2**T * V2)  (stored in WORK)
		//
		//             W := C2**T
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    dcopy_(n, &c__[*m - *k + j + c_dim1], ldc, &work[j *
			    work_dim1 + 1], &c__1);
// L70:
		}
		//
		//             W := W * V2
		//
		dtrmm_("Right", "Upper", "No transpose", "Unit", n, k, &c_b14,
			 &v[*m - *k + 1 + v_dim1], ldv, &work[work_offset],
			ldwork);
		if (*m > *k) {
		    //
		    //                W := W + C1**T * V1
		    //
		    i__1 = *m - *k;
		    dgemm_("Transpose", "No transpose", n, k, &i__1, &c_b14, &
			    c__[c_offset], ldc, &v[v_offset], ldv, &c_b14, &
			    work[work_offset], ldwork);
		}
		//
		//             W := W * T**T  or  W * T
		//
		dtrmm_("Right", "Lower", transt, "Non-unit", n, k, &c_b14, &t[
			t_offset], ldt, &work[work_offset], ldwork);
		//
		//             C := C - V * W**T
		//
		if (*m > *k) {
		    //
		    //                C1 := C1 - V1 * W**T
		    //
		    i__1 = *m - *k;
		    dgemm_("No transpose", "Transpose", &i__1, n, k, &c_b25, &
			    v[v_offset], ldv, &work[work_offset], ldwork, &
			    c_b14, &c__[c_offset], ldc);
		}
		//
		//             W := W * V2**T
		//
		dtrmm_("Right", "Upper", "Transpose", "Unit", n, k, &c_b14, &
			v[*m - *k + 1 + v_dim1], ldv, &work[work_offset],
			ldwork);
		//
		//             C2 := C2 - W**T
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    i__2 = *n;
		    for (i__ = 1; i__ <= i__2; ++i__) {
			c__[*m - *k + j + i__ * c_dim1] -= work[i__ + j *
				work_dim1];
// L80:
		    }
// L90:
		}
	    } else if (lsame_(side, "R")) {
		//
		//             Form  C * H  or  C * H**T  where  C = ( C1  C2 )
		//
		//             W := C * V  =  (C1*V1 + C2*V2)  (stored in WORK)
		//
		//             W := C2
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    dcopy_(m, &c__[(*n - *k + j) * c_dim1 + 1], &c__1, &work[
			    j * work_dim1 + 1], &c__1);
// L100:
		}
		//
		//             W := W * V2
		//
		dtrmm_("Right", "Upper", "No transpose", "Unit", m, k, &c_b14,
			 &v[*n - *k + 1 + v_dim1], ldv, &work[work_offset],
			ldwork);
		if (*n > *k) {
		    //
		    //                W := W + C1 * V1
		    //
		    i__1 = *n - *k;
		    dgemm_("No transpose", "No transpose", m, k, &i__1, &
			    c_b14, &c__[c_offset], ldc, &v[v_offset], ldv, &
			    c_b14, &work[work_offset], ldwork);
		}
		//
		//             W := W * T  or  W * T**T
		//
		dtrmm_("Right", "Lower", trans, "Non-unit", m, k, &c_b14, &t[
			t_offset], ldt, &work[work_offset], ldwork);
		//
		//             C := C - W * V**T
		//
		if (*n > *k) {
		    //
		    //                C1 := C1 - W * V1**T
		    //
		    i__1 = *n - *k;
		    dgemm_("No transpose", "Transpose", m, &i__1, k, &c_b25, &
			    work[work_offset], ldwork, &v[v_offset], ldv, &
			    c_b14, &c__[c_offset], ldc);
		}
		//
		//             W := W * V2**T
		//
		dtrmm_("Right", "Upper", "Transpose", "Unit", m, k, &c_b14, &
			v[*n - *k + 1 + v_dim1], ldv, &work[work_offset],
			ldwork);
		//
		//             C2 := C2 - W
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    i__2 = *m;
		    for (i__ = 1; i__ <= i__2; ++i__) {
			c__[i__ + (*n - *k + j) * c_dim1] -= work[i__ + j *
				work_dim1];
// L110:
		    }
// L120:
		}
	    }
	}
    } else if (lsame_(storev, "R")) {
	if (lsame_(direct, "F")) {
	    //
	    //          Let  V =  ( V1  V2 )    (V1: first K columns)
	    //          where  V1  is unit upper triangular.
	    //
	    if (lsame_(side, "L")) {
		//
		//             Form  H * C  or  H**T * C  where  C = ( C1 )
		//                                                   ( C2 )
		//
		//             W := C**T * V**T  =  (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
		//
		//             W := C1**T
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    dcopy_(n, &c__[j + c_dim1], ldc, &work[j * work_dim1 + 1],
			     &c__1);
// L130:
		}
		//
		//             W := W * V1**T
		//
		dtrmm_("Right", "Upper", "Transpose", "Unit", n, k, &c_b14, &
			v[v_offset], ldv, &work[work_offset], ldwork);
		if (*m > *k) {
		    //
		    //                W := W + C2**T * V2**T
		    //
		    i__1 = *m - *k;
		    dgemm_("Transpose", "Transpose", n, k, &i__1, &c_b14, &
			    c__[*k + 1 + c_dim1], ldc, &v[(*k + 1) * v_dim1 +
			    1], ldv, &c_b14, &work[work_offset], ldwork);
		}
		//
		//             W := W * T**T  or  W * T
		//
		dtrmm_("Right", "Upper", transt, "Non-unit", n, k, &c_b14, &t[
			t_offset], ldt, &work[work_offset], ldwork);
		//
		//             C := C - V**T * W**T
		//
		if (*m > *k) {
		    //
		    //                C2 := C2 - V2**T * W**T
		    //
		    i__1 = *m - *k;
		    dgemm_("Transpose", "Transpose", &i__1, n, k, &c_b25, &v[(
			    *k + 1) * v_dim1 + 1], ldv, &work[work_offset],
			    ldwork, &c_b14, &c__[*k + 1 + c_dim1], ldc);
		}
		//
		//             W := W * V1
		//
		dtrmm_("Right", "Upper", "No transpose", "Unit", n, k, &c_b14,
			 &v[v_offset], ldv, &work[work_offset], ldwork);
		//
		//             C1 := C1 - W**T
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    i__2 = *n;
		    for (i__ = 1; i__ <= i__2; ++i__) {
			c__[j + i__ * c_dim1] -= work[i__ + j * work_dim1];
// L140:
		    }
// L150:
		}
	    } else if (lsame_(side, "R")) {
		//
		//             Form  C * H  or  C * H**T  where  C = ( C1  C2 )
		//
		//             W := C * V**T  =  (C1*V1**T + C2*V2**T)  (stored in WORK)
		//
		//             W := C1
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    dcopy_(m, &c__[j * c_dim1 + 1], &c__1, &work[j *
			    work_dim1 + 1], &c__1);
// L160:
		}
		//
		//             W := W * V1**T
		//
		dtrmm_("Right", "Upper", "Transpose", "Unit", m, k, &c_b14, &
			v[v_offset], ldv, &work[work_offset], ldwork);
		if (*n > *k) {
		    //
		    //                W := W + C2 * V2**T
		    //
		    i__1 = *n - *k;
		    dgemm_("No transpose", "Transpose", m, k, &i__1, &c_b14, &
			    c__[(*k + 1) * c_dim1 + 1], ldc, &v[(*k + 1) *
			    v_dim1 + 1], ldv, &c_b14, &work[work_offset],
			    ldwork);
		}
		//
		//             W := W * T  or  W * T**T
		//
		dtrmm_("Right", "Upper", trans, "Non-unit", m, k, &c_b14, &t[
			t_offset], ldt, &work[work_offset], ldwork);
		//
		//             C := C - W * V
		//
		if (*n > *k) {
		    //
		    //                C2 := C2 - W * V2
		    //
		    i__1 = *n - *k;
		    dgemm_("No transpose", "No transpose", m, &i__1, k, &
			    c_b25, &work[work_offset], ldwork, &v[(*k + 1) *
			    v_dim1 + 1], ldv, &c_b14, &c__[(*k + 1) * c_dim1
			    + 1], ldc);
		}
		//
		//             W := W * V1
		//
		dtrmm_("Right", "Upper", "No transpose", "Unit", m, k, &c_b14,
			 &v[v_offset], ldv, &work[work_offset], ldwork);
		//
		//             C1 := C1 - W
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    i__2 = *m;
		    for (i__ = 1; i__ <= i__2; ++i__) {
			c__[i__ + j * c_dim1] -= work[i__ + j * work_dim1];
// L170:
		    }
// L180:
		}
	    }
	} else {
	    //
	    //          Let  V =  ( V1  V2 )    (V2: last K columns)
	    //          where  V2  is unit lower triangular.
	    //
	    if (lsame_(side, "L")) {
		//
		//             Form  H * C  or  H**T * C  where  C = ( C1 )
		//                                                   ( C2 )
		//
		//             W := C**T * V**T  =  (C1**T * V1**T + C2**T * V2**T) (stored in WORK)
		//
		//             W := C2**T
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    dcopy_(n, &c__[*m - *k + j + c_dim1], ldc, &work[j *
			    work_dim1 + 1], &c__1);
// L190:
		}
		//
		//             W := W * V2**T
		//
		dtrmm_("Right", "Lower", "Transpose", "Unit", n, k, &c_b14, &
			v[(*m - *k + 1) * v_dim1 + 1], ldv, &work[work_offset]
			, ldwork);
		if (*m > *k) {
		    //
		    //                W := W + C1**T * V1**T
		    //
		    i__1 = *m - *k;
		    dgemm_("Transpose", "Transpose", n, k, &i__1, &c_b14, &
			    c__[c_offset], ldc, &v[v_offset], ldv, &c_b14, &
			    work[work_offset], ldwork);
		}
		//
		//             W := W * T**T  or  W * T
		//
		dtrmm_("Right", "Lower", transt, "Non-unit", n, k, &c_b14, &t[
			t_offset], ldt, &work[work_offset], ldwork);
		//
		//             C := C - V**T * W**T
		//
		if (*m > *k) {
		    //
		    //                C1 := C1 - V1**T * W**T
		    //
		    i__1 = *m - *k;
		    dgemm_("Transpose", "Transpose", &i__1, n, k, &c_b25, &v[
			    v_offset], ldv, &work[work_offset], ldwork, &
			    c_b14, &c__[c_offset], ldc);
		}
		//
		//             W := W * V2
		//
		dtrmm_("Right", "Lower", "No transpose", "Unit", n, k, &c_b14,
			 &v[(*m - *k + 1) * v_dim1 + 1], ldv, &work[
			work_offset], ldwork);
		//
		//             C2 := C2 - W**T
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    i__2 = *n;
		    for (i__ = 1; i__ <= i__2; ++i__) {
			c__[*m - *k + j + i__ * c_dim1] -= work[i__ + j *
				work_dim1];
// L200:
		    }
// L210:
		}
	    } else if (lsame_(side, "R")) {
		//
		//             Form  C * H  or  C * H'  where  C = ( C1  C2 )
		//
		//             W := C * V**T  =  (C1*V1**T + C2*V2**T)  (stored in WORK)
		//
		//             W := C2
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    dcopy_(m, &c__[(*n - *k + j) * c_dim1 + 1], &c__1, &work[
			    j * work_dim1 + 1], &c__1);
// L220:
		}
		//
		//             W := W * V2**T
		//
		dtrmm_("Right", "Lower", "Transpose", "Unit", m, k, &c_b14, &
			v[(*n - *k + 1) * v_dim1 + 1], ldv, &work[work_offset]
			, ldwork);
		if (*n > *k) {
		    //
		    //                W := W + C1 * V1**T
		    //
		    i__1 = *n - *k;
		    dgemm_("No transpose", "Transpose", m, k, &i__1, &c_b14, &
			    c__[c_offset], ldc, &v[v_offset], ldv, &c_b14, &
			    work[work_offset], ldwork);
		}
		//
		//             W := W * T  or  W * T**T
		//
		dtrmm_("Right", "Lower", trans, "Non-unit", m, k, &c_b14, &t[
			t_offset], ldt, &work[work_offset], ldwork);
		//
		//             C := C - W * V
		//
		if (*n > *k) {
		    //
		    //                C1 := C1 - W * V1
		    //
		    i__1 = *n - *k;
		    dgemm_("No transpose", "No transpose", m, &i__1, k, &
			    c_b25, &work[work_offset], ldwork, &v[v_offset],
			    ldv, &c_b14, &c__[c_offset], ldc);
		}
		//
		//             W := W * V2
		//
		dtrmm_("Right", "Lower", "No transpose", "Unit", m, k, &c_b14,
			 &v[(*n - *k + 1) * v_dim1 + 1], ldv, &work[
			work_offset], ldwork);
		//
		//             C1 := C1 - W
		//
		i__1 = *k;
		for (j = 1; j <= i__1; ++j) {
		    i__2 = *m;
		    for (i__ = 1; i__ <= i__2; ++i__) {
			c__[i__ + (*n - *k + j) * c_dim1] -= work[i__ + j *
				work_dim1];
// L230:
		    }
// L240:
		}
	    }
	}
    }
    return 0;
    //
    //    End of DLARFB
    //
} // dlarfb_