#include "blaswrap.h"
/*  -- translated by f2c (version 19990503).
   You must link the resulting object file with the libraries:
	-lf2c -lm   (in that order)
*/

#include "f2c.h"

/* Common Block Declarations */

struct {
    char srnamt[6];
} srnamc_;

#define srnamc_1 srnamc_

/* Table of constant values */

static doublecomplex c_b1 = {-1e10,-1e10};
static doublecomplex c_b8 = {0.,0.};
static doublecomplex c_b13 = {-1.,0.};
static doublecomplex c_b14 = {1.,0.};
static doublereal c_b22 = -1.;
static doublereal c_b23 = 1.;

/* Subroutine */ int zqrt02_(integer *m, integer *n, integer *k, 
	doublecomplex *a, doublecomplex *af, doublecomplex *q, doublecomplex *
	r__, integer *lda, doublecomplex *tau, doublecomplex *work, integer *
	lwork, doublereal *rwork, doublereal *result)
{
    /* System generated locals */
    integer a_dim1, a_offset, af_dim1, af_offset, q_dim1, q_offset, r_dim1, 
	    r_offset, i__1;

    /* Builtin functions   
       Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);

    /* Local variables */
    static integer info;
    static doublereal resid, anorm;
    extern /* Subroutine */ int zgemm_(char *, char *, integer *, integer *, 
	    integer *, doublecomplex *, doublecomplex *, integer *, 
	    doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
	    integer *), zherk_(char *, char *, integer *, 
	    integer *, doublereal *, doublecomplex *, integer *, doublereal *,
	     doublecomplex *, integer *);
    extern doublereal dlamch_(char *), zlange_(char *, integer *, 
	    integer *, doublecomplex *, integer *, doublereal *);
    extern /* Subroutine */ int zlacpy_(char *, integer *, integer *, 
	    doublecomplex *, integer *, doublecomplex *, integer *), 
	    zlaset_(char *, integer *, integer *, doublecomplex *, 
	    doublecomplex *, doublecomplex *, integer *);
    extern doublereal zlansy_(char *, char *, integer *, doublecomplex *, 
	    integer *, doublereal *);
    extern /* Subroutine */ int zungqr_(integer *, integer *, integer *, 
	    doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
	    integer *, integer *);
    static doublereal eps;


#define q_subscr(a_1,a_2) (a_2)*q_dim1 + a_1
#define q_ref(a_1,a_2) q[q_subscr(a_1,a_2)]
#define af_subscr(a_1,a_2) (a_2)*af_dim1 + a_1
#define af_ref(a_1,a_2) af[af_subscr(a_1,a_2)]


/*  -- LAPACK test routine (version 3.0) --   
       Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,   
       Courant Institute, Argonne National Lab, and Rice University   
       September 30, 1994   


    Purpose   
    =======   

    ZQRT02 tests ZUNGQR, which generates an m-by-n matrix Q with   
    orthonornmal columns that is defined as the product of k elementary   
    reflectors.   

    Given the QR factorization of an m-by-n matrix A, ZQRT02 generates   
    the orthogonal matrix Q defined by the factorization of the first k   
    columns of A; it compares R(1:n,1:k) with Q(1:m,1:n)'*A(1:m,1:k),   
    and checks that the columns of Q are orthonormal.   

    Arguments   
    =========   

    M       (input) INTEGER   
            The number of rows of the matrix Q to be generated.  M >= 0.   

    N       (input) INTEGER   
            The number of columns of the matrix Q to be generated.   
            M >= N >= 0.   

    K       (input) INTEGER   
            The number of elementary reflectors whose product defines the   
            matrix Q. N >= K >= 0.   

    A       (input) COMPLEX*16 array, dimension (LDA,N)   
            The m-by-n matrix A which was factorized by ZQRT01.   

    AF      (input) COMPLEX*16 array, dimension (LDA,N)   
            Details of the QR factorization of A, as returned by ZGEQRF.   
            See ZGEQRF for further details.   

    Q       (workspace) COMPLEX*16 array, dimension (LDA,N)   

    R       (workspace) COMPLEX*16 array, dimension (LDA,N)   

    LDA     (input) INTEGER   
            The leading dimension of the arrays A, AF, Q and R. LDA >= M.   

    TAU     (input) COMPLEX*16 array, dimension (N)   
            The scalar factors of the elementary reflectors corresponding   
            to the QR factorization in AF.   

    WORK    (workspace) COMPLEX*16 array, dimension (LWORK)   

    LWORK   (input) INTEGER   
            The dimension of the array WORK.   

    RWORK   (workspace) DOUBLE PRECISION array, dimension (M)   

    RESULT  (output) DOUBLE PRECISION array, dimension (2)   
            The test ratios:   
            RESULT(1) = norm( R - Q'*A ) / ( M * norm(A) * EPS )   
            RESULT(2) = norm( I - Q'*Q ) / ( M * EPS )   

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


       Parameter adjustments */
    r_dim1 = *lda;
    r_offset = 1 + r_dim1 * 1;
    r__ -= r_offset;
    q_dim1 = *lda;
    q_offset = 1 + q_dim1 * 1;
    q -= q_offset;
    af_dim1 = *lda;
    af_offset = 1 + af_dim1 * 1;
    af -= af_offset;
    a_dim1 = *lda;
    a_offset = 1 + a_dim1 * 1;
    a -= a_offset;
    --tau;
    --work;
    --rwork;
    --result;

    /* Function Body */
    eps = dlamch_("Epsilon");

/*     Copy the first k columns of the factorization to the array Q */

    zlaset_("Full", m, n, &c_b1, &c_b1, &q[q_offset], lda);
    i__1 = *m - 1;
    zlacpy_("Lower", &i__1, k, &af_ref(2, 1), lda, &q_ref(2, 1), lda);

/*     Generate the first n columns of the matrix Q */

    s_copy(srnamc_1.srnamt, "ZUNGQR", (ftnlen)6, (ftnlen)6);
    zungqr_(m, n, k, &q[q_offset], lda, &tau[1], &work[1], lwork, &info);

/*     Copy R(1:n,1:k) */

    zlaset_("Full", n, k, &c_b8, &c_b8, &r__[r_offset], lda);
    zlacpy_("Upper", n, k, &af[af_offset], lda, &r__[r_offset], lda);

/*     Compute R(1:n,1:k) - Q(1:m,1:n)' * A(1:m,1:k) */

    zgemm_("Conjugate transpose", "No transpose", n, k, m, &c_b13, &q[
	    q_offset], lda, &a[a_offset], lda, &c_b14, &r__[r_offset], lda);

/*     Compute norm( R - Q'*A ) / ( M * norm(A) * EPS ) . */

    anorm = zlange_("1", m, k, &a[a_offset], lda, &rwork[1]);
    resid = zlange_("1", n, k, &r__[r_offset], lda, &rwork[1]);
    if (anorm > 0.) {
	result[1] = resid / (doublereal) max(1,*m) / anorm / eps;
    } else {
	result[1] = 0.;
    }

/*     Compute I - Q'*Q */

    zlaset_("Full", n, n, &c_b8, &c_b14, &r__[r_offset], lda);
    zherk_("Upper", "Conjugate transpose", n, m, &c_b22, &q[q_offset], lda, &
	    c_b23, &r__[r_offset], lda);

/*     Compute norm( I - Q'*Q ) / ( M * EPS ) . */

    resid = zlansy_("1", "Upper", n, &r__[r_offset], lda, &rwork[1]);

    result[2] = resid / (doublereal) max(1,*m) / eps;

    return 0;

/*     End of ZQRT02 */

} /* zqrt02_ */

#undef af_ref
#undef af_subscr
#undef q_ref
#undef q_subscr


