#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 doublereal c_b4 = -1e10;
static doublereal c_b9 = 0.;
static doublereal c_b14 = -1.;
static doublereal c_b15 = 1.;

/* Subroutine */ int dlqt02_(integer *m, integer *n, integer *k, doublereal *
	a, doublereal *af, doublereal *q, doublereal *l, integer *lda, 
	doublereal *tau, doublereal *work, integer *lwork, doublereal *rwork, 
	doublereal *result)
{
    /* System generated locals */
    integer a_dim1, a_offset, af_dim1, af_offset, l_dim1, l_offset, q_dim1, 
	    q_offset, i__1;

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

    /* Local variables */
    static integer info;
    extern /* Subroutine */ int dgemm_(char *, char *, integer *, integer *, 
	    integer *, doublereal *, doublereal *, integer *, doublereal *, 
	    integer *, doublereal *, doublereal *, integer *);
    static doublereal resid, anorm;
    extern /* Subroutine */ int dsyrk_(char *, char *, integer *, integer *, 
	    doublereal *, doublereal *, integer *, doublereal *, doublereal *,
	     integer *);
    extern doublereal dlamch_(char *), dlange_(char *, integer *, 
	    integer *, doublereal *, integer *, doublereal *);
    extern /* Subroutine */ int dlacpy_(char *, integer *, integer *, 
	    doublereal *, integer *, doublereal *, integer *), 
	    dlaset_(char *, integer *, integer *, doublereal *, doublereal *, 
	    doublereal *, integer *), dorglq_(integer *, integer *, 
	    integer *, doublereal *, integer *, doublereal *, doublereal *, 
	    integer *, integer *);
    extern doublereal dlansy_(char *, char *, integer *, doublereal *, 
	    integer *, doublereal *);
    static doublereal eps;


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


/*  -- 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   
    =======   

    DLQT02 tests DORGLQ, which generates an m-by-n matrix Q with   
    orthonornmal rows that is defined as the product of k elementary   
    reflectors.   

    Given the LQ factorization of an m-by-n matrix A, DLQT02 generates   
    the orthogonal matrix Q defined by the factorization of the first k   
    rows of A; it compares L(1:k,1:m) with A(1:k,1:n)*Q(1:m,1:n)', and   
    checks that the rows 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.   
            N >= M >= 0.   

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

    A       (input) DOUBLE PRECISION array, dimension (LDA,N)   
            The m-by-n matrix A which was factorized by DLQT01.   

    AF      (input) DOUBLE PRECISION array, dimension (LDA,N)   
            Details of the LQ factorization of A, as returned by DGELQF.   
            See DGELQF for further details.   

    Q       (workspace) DOUBLE PRECISION array, dimension (LDA,N)   

    L       (workspace) DOUBLE PRECISION array, dimension (LDA,M)   

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

    TAU     (input) DOUBLE PRECISION array, dimension (M)   
            The scalar factors of the elementary reflectors corresponding   
            to the LQ factorization in AF.   

    WORK    (workspace) DOUBLE PRECISION 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( L - A*Q' ) / ( N * norm(A) * EPS )   
            RESULT(2) = norm( I - Q*Q' ) / ( N * EPS )   

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


       Parameter adjustments */
    l_dim1 = *lda;
    l_offset = 1 + l_dim1 * 1;
    l -= l_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 rows of the factorization to the array Q */

    dlaset_("Full", m, n, &c_b4, &c_b4, &q[q_offset], lda);
    i__1 = *n - 1;
    dlacpy_("Upper", k, &i__1, &af_ref(1, 2), lda, &q_ref(1, 2), lda);

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

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

/*     Copy L(1:k,1:m) */

    dlaset_("Full", k, m, &c_b9, &c_b9, &l[l_offset], lda);
    dlacpy_("Lower", k, m, &af[af_offset], lda, &l[l_offset], lda);

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

    dgemm_("No transpose", "Transpose", k, m, n, &c_b14, &a[a_offset], lda, &
	    q[q_offset], lda, &c_b15, &l[l_offset], lda);

/*     Compute norm( L - A*Q' ) / ( N * norm(A) * EPS ) . */

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

/*     Compute I - Q*Q' */

    dlaset_("Full", m, m, &c_b9, &c_b15, &l[l_offset], lda);
    dsyrk_("Upper", "No transpose", m, n, &c_b14, &q[q_offset], lda, &c_b15, &
	    l[l_offset], lda);

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

    resid = dlansy_("1", "Upper", m, &l[l_offset], lda, &rwork[1]);

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

    return 0;

/*     End of DLQT02 */

} /* dlqt02_ */

#undef af_ref
#undef q_ref



.