#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 integer c__2 = 2;
static doublereal c_b21 = -1.;
static doublereal c_b22 = 1.;

/* Subroutine */ int dlqt03_(integer *m, integer *n, integer *k, doublereal *
	af, doublereal *c__, doublereal *cc, doublereal *q, integer *lda, 
	doublereal *tau, doublereal *work, integer *lwork, doublereal *rwork, 
	doublereal *result)
{
    /* Initialized data */

    static integer iseed[4] = { 1988,1989,1990,1991 };

    /* System generated locals */
    integer af_dim1, af_offset, c_dim1, c_offset, cc_dim1, cc_offset, q_dim1, 
	    q_offset, i__1;

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

    /* Local variables */
    static char side[1];
    static integer info, j;
    extern /* Subroutine */ int dgemm_(char *, char *, integer *, integer *, 
	    integer *, doublereal *, doublereal *, integer *, doublereal *, 
	    integer *, doublereal *, doublereal *, integer *);
    static integer iside;
    extern logical lsame_(char *, char *);
    static doublereal resid, cnorm;
    static char trans[1];
    static integer mc, nc;
    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 *), dlarnv_(integer *, integer *, 
	    integer *, doublereal *), dorglq_(integer *, integer *, integer *,
	     doublereal *, integer *, doublereal *, doublereal *, integer *, 
	    integer *), dormlq_(char *, char *, integer *, integer *, integer 
	    *, doublereal *, integer *, doublereal *, doublereal *, integer *,
	     doublereal *, integer *, integer *);
    static integer itrans;
    static doublereal eps;


#define c___ref(a_1,a_2) c__[(a_2)*c_dim1 + a_1]
#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   
    =======   

    DLQT03 tests DORMLQ, which computes Q*C, Q'*C, C*Q or C*Q'.   

    DLQT03 compares the results of a call to DORMLQ with the results of   
    forming Q explicitly by a call to DORGLQ and then performing matrix   
    multiplication by a call to DGEMM.   

    Arguments   
    =========   

    M       (input) INTEGER   
            The number of rows or columns of the matrix C; C is n-by-m if   
            Q is applied from the left, or m-by-n if Q is applied from   
            the right.  M >= 0.   

    N       (input) INTEGER   
            The order of the orthogonal matrix Q.  N >= 0.   

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

    AF      (input) DOUBLE PRECISION array, dimension (LDA,N)   
            Details of the LQ factorization of an m-by-n matrix, as   
            returned by DGELQF. See SGELQF for further details.   

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

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

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

    LDA     (input) INTEGER   
            The leading dimension of the arrays AF, C, CC, and Q.   

    TAU     (input) DOUBLE PRECISION array, dimension (min(M,N))   
            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 length of WORK.  LWORK must be at least M, and should be   
            M*NB, where NB is the blocksize for this environment.   

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

    RESULT  (output) DOUBLE PRECISION array, dimension (4)   
            The test ratios compare two techniques for multiplying a   
            random matrix C by an n-by-n orthogonal matrix Q.   
            RESULT(1) = norm( Q*C - Q*C )  / ( N * norm(C) * EPS )   
            RESULT(2) = norm( C*Q - C*Q )  / ( N * norm(C) * EPS )   
            RESULT(3) = norm( Q'*C - Q'*C )/ ( N * norm(C) * EPS )   
            RESULT(4) = norm( C*Q' - C*Q' )/ ( N * norm(C) * EPS )   

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

       Parameter adjustments */
    q_dim1 = *lda;
    q_offset = 1 + q_dim1 * 1;
    q -= q_offset;
    cc_dim1 = *lda;
    cc_offset = 1 + cc_dim1 * 1;
    cc -= cc_offset;
    c_dim1 = *lda;
    c_offset = 1 + c_dim1 * 1;
    c__ -= c_offset;
    af_dim1 = *lda;
    af_offset = 1 + af_dim1 * 1;
    af -= af_offset;
    --tau;
    --work;
    --rwork;
    --result;

    /* Function Body */

    eps = dlamch_("Epsilon");

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

    dlaset_("Full", n, 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 n-by-n matrix Q */

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

    for (iside = 1; iside <= 2; ++iside) {
	if (iside == 1) {
	    *(unsigned char *)side = 'L';
	    mc = *n;
	    nc = *m;
	} else {
	    *(unsigned char *)side = 'R';
	    mc = *m;
	    nc = *n;
	}

/*        Generate MC by NC matrix C */

	i__1 = nc;
	for (j = 1; j <= i__1; ++j) {
	    dlarnv_(&c__2, iseed, &mc, &c___ref(1, j));
/* L10: */
	}
	cnorm = dlange_("1", &mc, &nc, &c__[c_offset], lda, &rwork[1]);
	if (cnorm == 0.) {
	    cnorm = 1.;
	}

	for (itrans = 1; itrans <= 2; ++itrans) {
	    if (itrans == 1) {
		*(unsigned char *)trans = 'N';
	    } else {
		*(unsigned char *)trans = 'T';
	    }

/*           Copy C */

	    dlacpy_("Full", &mc, &nc, &c__[c_offset], lda, &cc[cc_offset], 
		    lda);

/*           Apply Q or Q' to C */

	    s_copy(srnamc_1.srnamt, "DORMLQ", (ftnlen)6, (ftnlen)6);
	    dormlq_(side, trans, &mc, &nc, k, &af[af_offset], lda, &tau[1], &
		    cc[cc_offset], lda, &work[1], lwork, &info);

/*           Form explicit product and subtract */

	    if (lsame_(side, "L")) {
		dgemm_(trans, "No transpose", &mc, &nc, &mc, &c_b21, &q[
			q_offset], lda, &c__[c_offset], lda, &c_b22, &cc[
			cc_offset], lda);
	    } else {
		dgemm_("No transpose", trans, &mc, &nc, &nc, &c_b21, &c__[
			c_offset], lda, &q[q_offset], lda, &c_b22, &cc[
			cc_offset], lda);
	    }

/*           Compute error in the difference */

	    resid = dlange_("1", &mc, &nc, &cc[cc_offset], lda, &rwork[1]);
	    result[(iside - 1 << 1) + itrans] = resid / ((doublereal) max(1,*
		    n) * cnorm * eps);

/* L20: */
	}
/* L30: */
    }

    return 0;

/*     End of DLQT03 */

} /* dlqt03_ */

#undef af_ref
#undef q_ref
#undef c___ref



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