#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 real c_b4 = -1e10f;
static real c_b9 = 0.f;
static real c_b14 = -1.f;
static real c_b15 = 1.f;

/* Subroutine */ int slqt02_(integer *m, integer *n, integer *k, real *a, 
	real *af, real *q, real *l, integer *lda, real *tau, real *work, 
	integer *lwork, real *rwork, real *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;
    static real resid;
    extern /* Subroutine */ int sgemm_(char *, char *, integer *, integer *, 
	    integer *, real *, real *, integer *, real *, integer *, real *, 
	    real *, integer *);
    static real anorm;
    extern /* Subroutine */ int ssyrk_(char *, char *, integer *, integer *, 
	    real *, real *, integer *, real *, real *, integer *);
    extern doublereal slamch_(char *), slange_(char *, integer *, 
	    integer *, real *, integer *, real *);
    extern /* Subroutine */ int slacpy_(char *, integer *, integer *, real *, 
	    integer *, real *, integer *), slaset_(char *, integer *, 
	    integer *, real *, real *, real *, integer *), sorglq_(
	    integer *, integer *, integer *, real *, integer *, real *, real *
	    , integer *, integer *);
    extern doublereal slansy_(char *, char *, integer *, real *, integer *, 
	    real *);
    static real 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   
    =======   

    SLQT02 tests SORGLQ, 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, SLQT02 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) REAL array, dimension (LDA,N)   
            The m-by-n matrix A which was factorized by SLQT01.   

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

    Q       (workspace) REAL array, dimension (LDA,N)   

    L       (workspace) REAL array, dimension (LDA,M)   

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

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

    WORK    (workspace) REAL array, dimension (LWORK)   

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

    RWORK   (workspace) REAL array, dimension (M)   

    RESULT  (output) REAL 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 = slamch_("Epsilon");

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

    slaset_("Full", m, n, &c_b4, &c_b4, &q[q_offset], lda);
    i__1 = *n - 1;
    slacpy_("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, "SORGLQ", (ftnlen)6, (ftnlen)6);
    sorglq_(m, n, k, &q[q_offset], lda, &tau[1], &work[1], lwork, &info);

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

    slaset_("Full", k, m, &c_b9, &c_b9, &l[l_offset], lda);
    slacpy_("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)' */

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

/*     Compute I - Q*Q' */

    slaset_("Full", m, m, &c_b9, &c_b15, &l[l_offset], lda);
    ssyrk_("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 = slansy_("1", "Upper", m, &l[l_offset], lda, &rwork[1]);

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

    return 0;

/*     End of SLQT02 */

} /* slqt02_ */

#undef af_ref
#undef q_ref


