#include "blaswrap.h"
#include "f2c.h"

/* Subroutine */ int sormbr_(char *vect, char *side, char *trans, integer *m, 
	integer *n, integer *k, real *a, integer *lda, real *tau, real *c__, 
	integer *ldc, real *work, integer *lwork, integer *info)
{
/*  -- LAPACK routine (version 3.0) --   
       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,   
       Courant Institute, Argonne National Lab, and Rice University   
       June 30, 1999   


    Purpose   
    =======   

    If VECT = 'Q', SORMBR overwrites the general real M-by-N matrix C   
    with   
                    SIDE = 'L'     SIDE = 'R'   
    TRANS = 'N':      Q * C          C * Q   
    TRANS = 'T':      Q**T * C       C * Q**T   

    If VECT = 'P', SORMBR overwrites the general real M-by-N matrix C   
    with   
                    SIDE = 'L'     SIDE = 'R'   
    TRANS = 'N':      P * C          C * P   
    TRANS = 'T':      P**T * C       C * P**T   

    Here Q and P**T are the orthogonal matrices determined by SGEBRD when   
    reducing a real matrix A to bidiagonal form: A = Q * B * P**T. Q and   
    P**T are defined as products of elementary reflectors H(i) and G(i)   
    respectively.   

    Let nq = m if SIDE = 'L' and nq = n if SIDE = 'R'. Thus nq is the   
    order of the orthogonal matrix Q or P**T that is applied.   

    If VECT = 'Q', A is assumed to have been an NQ-by-K matrix:   
    if nq >= k, Q = H(1) H(2) . . . H(k);   
    if nq < k, Q = H(1) H(2) . . . H(nq-1).   

    If VECT = 'P', A is assumed to have been a K-by-NQ matrix:   
    if k < nq, P = G(1) G(2) . . . G(k);   
    if k >= nq, P = G(1) G(2) . . . G(nq-1).   

    Arguments   
    =========   

    VECT    (input) CHARACTER*1   
            = 'Q': apply Q or Q**T;   
            = 'P': apply P or P**T.   

    SIDE    (input) CHARACTER*1   
            = 'L': apply Q, Q**T, P or P**T from the Left;   
            = 'R': apply Q, Q**T, P or P**T from the Right.   

    TRANS   (input) CHARACTER*1   
            = 'N':  No transpose, apply Q  or P;   
            = 'T':  Transpose, apply Q**T or P**T.   

    M       (input) INTEGER   
            The number of rows of the matrix C. M >= 0.   

    N       (input) INTEGER   
            The number of columns of the matrix C. N >= 0.   

    K       (input) INTEGER   
            If VECT = 'Q', the number of columns in the original   
            matrix reduced by SGEBRD.   
            If VECT = 'P', the number of rows in the original   
            matrix reduced by SGEBRD.   
            K >= 0.   

    A       (input) REAL array, dimension   
                                  (LDA,min(nq,K)) if VECT = 'Q'   
                                  (LDA,nq)        if VECT = 'P'   
            The vectors which define the elementary reflectors H(i) and   
            G(i), whose products determine the matrices Q and P, as   
            returned by SGEBRD.   

    LDA     (input) INTEGER   
            The leading dimension of the array A.   
            If VECT = 'Q', LDA >= max(1,nq);   
            if VECT = 'P', LDA >= max(1,min(nq,K)).   

    TAU     (input) REAL array, dimension (min(nq,K))   
            TAU(i) must contain the scalar factor of the elementary   
            reflector H(i) or G(i) which determines Q or P, as returned   
            by SGEBRD in the array argument TAUQ or TAUP.   

    C       (input/output) REAL array, dimension (LDC,N)   
            On entry, the M-by-N matrix C.   
            On exit, C is overwritten by Q*C or Q**T*C or C*Q**T or C*Q   
            or P*C or P**T*C or C*P or C*P**T.   

    LDC     (input) INTEGER   
            The leading dimension of the array C. LDC >= max(1,M).   

    WORK    (workspace/output) REAL array, dimension (LWORK)   
            On exit, if INFO = 0, WORK(1) returns the optimal LWORK.   

    LWORK   (input) INTEGER   
            The dimension of the array WORK.   
            If SIDE = 'L', LWORK >= max(1,N);   
            if SIDE = 'R', LWORK >= max(1,M).   
            For optimum performance LWORK >= N*NB if SIDE = 'L', and   
            LWORK >= M*NB if SIDE = 'R', where NB is the optimal   
            blocksize.   

            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.   

    INFO    (output) INTEGER   
            = 0:  successful exit   
            < 0:  if INFO = -i, the i-th argument had an illegal value   

    =====================================================================   


       Test the input arguments   

       Parameter adjustments */
    /* Table of constant values */
    static integer c__1 = 1;
    static integer c_n1 = -1;
    static integer c__2 = 2;
    
    /* System generated locals */
    address a__1[2];
    integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2, i__3[2];
    char ch__1[2];
    /* Builtin functions   
       Subroutine */ int s_cat(char *, char **, integer *, integer *, ftnlen);
    /* Local variables */
    static logical left;
    extern logical lsame_(char *, char *);
    static integer iinfo, i1, i2, nb, mi, ni, nq, nw;
    extern /* Subroutine */ int xerbla_(char *, integer *);
    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
	    integer *, integer *, ftnlen, ftnlen);
    static logical notran, applyq;
    static char transt[1];
    extern /* Subroutine */ int sormlq_(char *, char *, integer *, integer *, 
	    integer *, real *, integer *, real *, real *, integer *, real *, 
	    integer *, integer *);
    static integer lwkopt;
    static logical lquery;
    extern /* Subroutine */ int sormqr_(char *, char *, integer *, integer *, 
	    integer *, real *, integer *, real *, real *, integer *, real *, 
	    integer *, integer *);
#define a_ref(a_1,a_2) a[(a_2)*a_dim1 + a_1]
#define c___ref(a_1,a_2) c__[(a_2)*c_dim1 + a_1]


    a_dim1 = *lda;
    a_offset = 1 + a_dim1 * 1;
    a -= a_offset;
    --tau;
    c_dim1 = *ldc;
    c_offset = 1 + c_dim1 * 1;
    c__ -= c_offset;
    --work;

    /* Function Body */
    *info = 0;
    applyq = lsame_(vect, "Q");
    left = lsame_(side, "L");
    notran = lsame_(trans, "N");
    lquery = *lwork == -1;

/*     NQ is the order of Q or P and NW is the minimum dimension of WORK */

    if (left) {
	nq = *m;
	nw = *n;
    } else {
	nq = *n;
	nw = *m;
    }
    if (! applyq && ! lsame_(vect, "P")) {
	*info = -1;
    } else if (! left && ! lsame_(side, "R")) {
	*info = -2;
    } else if (! notran && ! lsame_(trans, "T")) {
	*info = -3;
    } else if (*m < 0) {
	*info = -4;
    } else if (*n < 0) {
	*info = -5;
    } else if (*k < 0) {
	*info = -6;
    } else /* if(complicated condition) */ {
/* Computing MAX */
	i__1 = 1, i__2 = min(nq,*k);
	if (applyq && *lda < max(1,nq) || ! applyq && *lda < max(i__1,i__2)) {
	    *info = -8;
	} else if (*ldc < max(1,*m)) {
	    *info = -11;
	} else if (*lwork < max(1,nw) && ! lquery) {
	    *info = -13;
	}
    }

    if (*info == 0) {
	if (applyq) {
	    if (left) {
/* Writing concatenation */
		i__3[0] = 1, a__1[0] = side;
		i__3[1] = 1, a__1[1] = trans;
		s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
		i__1 = *m - 1;
		i__2 = *m - 1;
		nb = ilaenv_(&c__1, "SORMQR", ch__1, &i__1, n, &i__2, &c_n1, (
			ftnlen)6, (ftnlen)2);
	    } else {
/* Writing concatenation */
		i__3[0] = 1, a__1[0] = side;
		i__3[1] = 1, a__1[1] = trans;
		s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
		i__1 = *n - 1;
		i__2 = *n - 1;
		nb = ilaenv_(&c__1, "SORMQR", ch__1, m, &i__1, &i__2, &c_n1, (
			ftnlen)6, (ftnlen)2);
	    }
	} else {
	    if (left) {
/* Writing concatenation */
		i__3[0] = 1, a__1[0] = side;
		i__3[1] = 1, a__1[1] = trans;
		s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
		i__1 = *m - 1;
		i__2 = *m - 1;
		nb = ilaenv_(&c__1, "SORMLQ", ch__1, &i__1, n, &i__2, &c_n1, (
			ftnlen)6, (ftnlen)2);
	    } else {
/* Writing concatenation */
		i__3[0] = 1, a__1[0] = side;
		i__3[1] = 1, a__1[1] = trans;
		s_cat(ch__1, a__1, i__3, &c__2, (ftnlen)2);
		i__1 = *n - 1;
		i__2 = *n - 1;
		nb = ilaenv_(&c__1, "SORMLQ", ch__1, m, &i__1, &i__2, &c_n1, (
			ftnlen)6, (ftnlen)2);
	    }
	}
	lwkopt = max(1,nw) * nb;
	work[1] = (real) lwkopt;
    }

    if (*info != 0) {
	i__1 = -(*info);
	xerbla_("SORMBR", &i__1);
	return 0;
    } else if (lquery) {
	return 0;
    }

/*     Quick return if possible */

    work[1] = 1.f;
    if (*m == 0 || *n == 0) {
	return 0;
    }

    if (applyq) {

/*        Apply Q */

	if (nq >= *k) {

/*           Q was determined by a call to SGEBRD with nq >= k */

	    sormqr_(side, trans, m, n, k, &a[a_offset], lda, &tau[1], &c__[
		    c_offset], ldc, &work[1], lwork, &iinfo);
	} else if (nq > 1) {

/*           Q was determined by a call to SGEBRD with nq < k */

	    if (left) {
		mi = *m - 1;
		ni = *n;
		i1 = 2;
		i2 = 1;
	    } else {
		mi = *m;
		ni = *n - 1;
		i1 = 1;
		i2 = 2;
	    }
	    i__1 = nq - 1;
	    sormqr_(side, trans, &mi, &ni, &i__1, &a_ref(2, 1), lda, &tau[1], 
		    &c___ref(i1, i2), ldc, &work[1], lwork, &iinfo);
	}
    } else {

/*        Apply P */

	if (notran) {
	    *(unsigned char *)transt = 'T';
	} else {
	    *(unsigned char *)transt = 'N';
	}
	if (nq > *k) {

/*           P was determined by a call to SGEBRD with nq > k */

	    sormlq_(side, transt, m, n, k, &a[a_offset], lda, &tau[1], &c__[
		    c_offset], ldc, &work[1], lwork, &iinfo);
	} else if (nq > 1) {

/*           P was determined by a call to SGEBRD with nq <= k */

	    if (left) {
		mi = *m - 1;
		ni = *n;
		i1 = 2;
		i2 = 1;
	    } else {
		mi = *m;
		ni = *n - 1;
		i1 = 1;
		i2 = 2;
	    }
	    i__1 = nq - 1;
	    sormlq_(side, transt, &mi, &ni, &i__1, &a_ref(1, 2), lda, &tau[1],
		     &c___ref(i1, i2), ldc, &work[1], lwork, &iinfo);
	}
    }
    work[1] = (real) lwkopt;
    return 0;

/*     End of SORMBR */

} /* sormbr_ */

#undef c___ref
#undef a_ref


