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#include "FLA_f2c.h" /* > \brief \b ZUNMR2 multiplies a general matrix by the unitary matrix from a RQ factorization determined by cgerqf (unblocked algorithm). */
/* =========== DOCUMENTATION =========== */
/* Online html documentation available at */
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/* > \htmlonly */
/* > Download ZUNMR2 + dependencies */
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/* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zunmr2. f"> */
/* > [TXT]</a> */
/* > \endhtmlonly */
/* Definition: */
/* =========== */
/* SUBROUTINE ZUNMR2( SIDE, TRANS, M, N, K, A, LDA, TAU, C, LDC, */
/* WORK, INFO ) */
/* .. Scalar Arguments .. */
/* CHARACTER SIDE, TRANS */
/* INTEGER INFO, K, LDA, LDC, M, N */
/* .. */
/* .. Array Arguments .. */
/* COMPLEX*16 A( LDA, * ), C( LDC, * ), TAU( * ), WORK( * ) */
/* .. */
/* > \par Purpose: */
/* ============= */
/* > */
/* > \verbatim */
/* > */
/* > ZUNMR2 overwrites the general complex m-by-n matrix C with */
/* > */
/* > Q * C if SIDE = 'L' and TRANS = 'N', or */
/* > */
/* > Q**H* C if SIDE = 'L' and TRANS = 'C', or */
/* > */
/* > C * Q if SIDE = 'R' and TRANS = 'N', or */
/* > */
/* > C * Q**H if SIDE = 'R' and TRANS = 'C', */
/* > */
/* > where Q is a complex unitary matrix defined as the product of k */
/* > elementary reflectors */
/* > */
/* > Q = H(1)**H H(2)**H . . . H(k)**H */
/* > */
/* > as returned by ZGERQF. Q is of order m if SIDE = 'L' and of order n */
/* > if SIDE = 'R'. */
/* > \endverbatim */
/* Arguments: */
/* ========== */
/* > \param[in] SIDE */
/* > \verbatim */
/* > SIDE is CHARACTER*1 */
/* > = 'L': apply Q or Q**H from the Left */
/* > = 'R': apply Q or Q**H from the Right */
/* > \endverbatim */
/* > */
/* > \param[in] TRANS */
/* > \verbatim */
/* > TRANS is CHARACTER*1 */
/* > = 'N': apply Q (No transpose) */
/* > = 'C': apply Q**H (Conjugate transpose) */
/* > \endverbatim */
/* > */
/* > \param[in] M */
/* > \verbatim */
/* > M is INTEGER */
/* > The number of rows of the matrix C. M >= 0. */
/* > \endverbatim */
/* > */
/* > \param[in] N */
/* > \verbatim */
/* > N is INTEGER */
/* > The number of columns of the matrix C. N >= 0. */
/* > \endverbatim */
/* > */
/* > \param[in] K */
/* > \verbatim */
/* > K is INTEGER */
/* > The number of elementary reflectors whose product defines */
/* > the matrix Q. */
/* > If SIDE = 'L', M >= K >= 0;
*/
/* > if SIDE = 'R', N >= K >= 0. */
/* > \endverbatim */
/* > */
/* > \param[in] A */
/* > \verbatim */
/* > A is COMPLEX*16 array, dimension */
/* > (LDA,M) if SIDE = 'L', */
/* > (LDA,N) if SIDE = 'R' */
/* > The i-th row must contain the vector which defines the */
/* > elementary reflector H(i), for i = 1,2,...,k, as returned by */
/* > ZGERQF in the last k rows of its array argument A. */
/* > A is modified by the routine but restored on exit. */
/* > \endverbatim */
/* > */
/* > \param[in] LDA */
/* > \verbatim */
/* > LDA is INTEGER */
/* > The leading dimension of the array A. LDA >= max(1,K). */
/* > \endverbatim */
/* > */
/* > \param[in] TAU */
/* > \verbatim */
/* > TAU is COMPLEX*16 array, dimension (K) */
/* > TAU(i) must contain the scalar factor of the elementary */
/* > reflector H(i), as returned by ZGERQF. */
/* > \endverbatim */
/* > */
/* > \param[in,out] C */
/* > \verbatim */
/* > C is COMPLEX*16 array, dimension (LDC,N) */
/* > On entry, the m-by-n matrix C. */
/* > On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q. */
/* > \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 COMPLEX*16 array, dimension */
/* > (N) if SIDE = 'L', */
/* > (M) if SIDE = 'R' */
/* > \endverbatim */
/* > */
/* > \param[out] INFO */
/* > \verbatim */
/* > INFO is INTEGER */
/* > = 0: successful exit */
/* > < 0: if INFO = -i, the i-th argument had an illegal value */
/* > \endverbatim */
/* Authors: */
/* ======== */
/* > \author Univ. of Tennessee */
/* > \author Univ. of California Berkeley */
/* > \author Univ. of Colorado Denver */
/* > \author NAG Ltd. */
/* > \date September 2012 */
/* > \ingroup complex16OTHERcomputational */
/* ===================================================================== */
/* Subroutine */
int zunmr2_(char *side, char *trans, integer *m, integer *n, integer *k, doublecomplex *a, integer *lda, doublecomplex *tau, doublecomplex *c__, integer *ldc, doublecomplex *work, integer *info)
{
    /* System generated locals */
    integer a_dim1, a_offset, c_dim1, c_offset, i__1, i__2, i__3;
    doublecomplex z__1;
    /* Builtin functions */
    void d_cnjg(doublecomplex *, doublecomplex *);
    /* Local variables */
    integer i__, i1, i2, i3, mi, ni, nq;
    doublecomplex aii;
    logical left;
    doublecomplex taui;
    extern logical lsame_(char *, char *);
    extern /* Subroutine */
    int zlarf_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *), xerbla_(char *, integer *), zlacgv_(integer *, doublecomplex *, integer *);
    logical notran;
    /* -- LAPACK computational routine (version 3.4.2) -- */
    /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
    /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
    /* September 2012 */
    /* .. Scalar Arguments .. */
    /* .. */
    /* .. Array Arguments .. */
    /* .. */
    /* ===================================================================== */
    /* .. Parameters .. */
    /* .. */
    /* .. Local Scalars .. */
    /* .. */
    /* .. External Functions .. */
    /* .. */
    /* .. External Subroutines .. */
    /* .. */
    /* .. Intrinsic Functions .. */
    /* .. */
    /* .. Executable Statements .. */
    /* Test the input arguments */
    /* Parameter adjustments */
    a_dim1 = *lda;
    a_offset = 1 + a_dim1;
    a -= a_offset;
    --tau;
    c_dim1 = *ldc;
    c_offset = 1 + c_dim1;
    c__ -= c_offset;
    --work;
    /* Function Body */
    *info = 0;
    left = lsame_(side, "L");
    notran = lsame_(trans, "N");
    /* NQ is the order of Q */
    if (left)
    {
        nq = *m;
    }
    else
    {
        nq = *n;
    }
    if (! left && ! lsame_(side, "R"))
    {
        *info = -1;
    }
    else if (! notran && ! lsame_(trans, "C"))
    {
        *info = -2;
    }
    else if (*m < 0)
    {
        *info = -3;
    }
    else if (*n < 0)
    {
        *info = -4;
    }
    else if (*k < 0 || *k > nq)
    {
        *info = -5;
    }
    else if (*lda < max(1,*k))
    {
        *info = -7;
    }
    else if (*ldc < max(1,*m))
    {
        *info = -10;
    }
    if (*info != 0)
    {
        i__1 = -(*info);
        xerbla_("ZUNMR2", &i__1);
        return 0;
    }
    /* Quick return if possible */
    if (*m == 0 || *n == 0 || *k == 0)
    {
        return 0;
    }
    if (left && ! notran || ! left && notran)
    {
        i1 = 1;
        i2 = *k;
        i3 = 1;
    }
    else
    {
        i1 = *k;
        i2 = 1;
        i3 = -1;
    }
    if (left)
    {
        ni = *n;
    }
    else
    {
        mi = *m;
    }
    i__1 = i2;
    i__2 = i3;
    for (i__ = i1;
            i__2 < 0 ? i__ >= i__1 : i__ <= i__1;
            i__ += i__2)
    {
        if (left)
        {
            /* H(i) or H(i)**H is applied to C(1:m-k+i,1:n) */
            mi = *m - *k + i__;
        }
        else
        {
            /* H(i) or H(i)**H is applied to C(1:m,1:n-k+i) */
            ni = *n - *k + i__;
        }
        /* Apply H(i) or H(i)**H */
        if (notran)
        {
            d_cnjg(&z__1, &tau[i__]);
            taui.r = z__1.r;
            taui.i = z__1.i; // , expr subst
        }
        else
        {
            i__3 = i__;
            taui.r = tau[i__3].r;
            taui.i = tau[i__3].i; // , expr subst
        }
        i__3 = nq - *k + i__ - 1;
        zlacgv_(&i__3, &a[i__ + a_dim1], lda);
        i__3 = i__ + (nq - *k + i__) * a_dim1;
        aii.r = a[i__3].r;
        aii.i = a[i__3].i; // , expr subst
        i__3 = i__ + (nq - *k + i__) * a_dim1;
        a[i__3].r = 1.;
        a[i__3].i = 0.; // , expr subst
        zlarf_(side, &mi, &ni, &a[i__ + a_dim1], lda, &taui, &c__[c_offset], ldc, &work[1]);
        i__3 = i__ + (nq - *k + i__) * a_dim1;
        a[i__3].r = aii.r;
        a[i__3].i = aii.i; // , expr subst
        i__3 = nq - *k + i__ - 1;
        zlacgv_(&i__3, &a[i__ + a_dim1], lda);
        /* L10: */
    }
    return 0;
    /* End of ZUNMR2 */
}
/* zunmr2_ */