#include "blaswrap.h"
/* srqt01.f -- translated by f2c (version 20061008).
   You must link the resulting object file with libf2c:
	on Microsoft Windows system, link with libf2c.lib;
	on Linux or Unix systems, link with .../path/to/libf2c.a -lm
	or, if you install libf2c.a in a standard place, with -lf2c -lm
	-- in that order, at the end of the command line, as in
		cc *.o -lf2c -lm
	Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,

		http://www.netlib.org/f2c/libf2c.zip
*/

#include "f2c.h"

/* Common Block Declarations */

struct {
    char srnamt[6];
} srnamc_;

#define srnamc_1 srnamc_

/* Table of constant values */

static real c_b6 = -1e10f;
static real c_b13 = 0.f;
static real c_b20 = -1.f;
static real c_b21 = 1.f;

/* Subroutine */ int srqt01_(integer *m, integer *n, real *a, real *af, real *
	q, real *r__, integer *lda, real *tau, real *work, integer *lwork, 
	real *rwork, real *result)
{
    /* System generated locals */
    integer a_dim1, a_offset, af_dim1, af_offset, q_dim1, q_offset, r_dim1, 
	    r_offset, i__1, i__2;

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

    /* Local variables */
    static real eps;
    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;
    static integer minmn;
    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 sgerqf_(integer *, integer *, real *, integer 
	    *, real *, real *, integer *, integer *), slacpy_(char *, integer 
	    *, integer *, real *, integer *, real *, integer *), 
	    slaset_(char *, integer *, integer *, real *, real *, real *, 
	    integer *);
    extern doublereal slansy_(char *, char *, integer *, real *, integer *, 
	    real *);
    extern /* Subroutine */ int sorgrq_(integer *, integer *, integer *, real 
	    *, integer *, real *, real *, integer *, integer *);


/*  -- LAPACK test routine (version 3.1) --   
       Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..   
       November 2006   


    Purpose   
    =======   

    SRQT01 tests SGERQF, which computes the RQ factorization of an m-by-n   
    matrix A, and partially tests SORGRQ which forms the n-by-n   
    orthogonal matrix Q.   

    SRQT01 compares R with A*Q', and checks that Q is orthogonal.   

    Arguments   
    =========   

    M       (input) INTEGER   
            The number of rows of the matrix A.  M >= 0.   

    N       (input) INTEGER   
            The number of columns of the matrix A.  N >= 0.   

    A       (input) REAL array, dimension (LDA,N)   
            The m-by-n matrix A.   

    AF      (output) REAL array, dimension (LDA,N)   
            Details of the RQ factorization of A, as returned by SGERQF.   
            See SGERQF for further details.   

    Q       (output) REAL array, dimension (LDA,N)   
            The n-by-n orthogonal matrix Q.   

    R       (workspace) REAL array, dimension (LDA,max(M,N))   

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

    TAU     (output) REAL array, dimension (min(M,N))   
            The scalar factors of the elementary reflectors, as returned   
            by SGERQF.   

    WORK    (workspace) REAL array, dimension (LWORK)   

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

    RWORK   (workspace) REAL array, dimension (max(M,N))   

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

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


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

    /* Function Body */
    minmn = min(*m,*n);
    eps = slamch_("Epsilon");

/*     Copy the matrix A to the array AF. */

    slacpy_("Full", m, n, &a[a_offset], lda, &af[af_offset], lda);

/*     Factorize the matrix A in the array AF. */

    s_copy(srnamc_1.srnamt, "SGERQF", (ftnlen)6, (ftnlen)6);
    sgerqf_(m, n, &af[af_offset], lda, &tau[1], &work[1], lwork, &info);

/*     Copy details of Q */

    slaset_("Full", n, n, &c_b6, &c_b6, &q[q_offset], lda);
    if (*m <= *n) {
	if (*m > 0 && *m < *n) {
	    i__1 = *n - *m;
	    slacpy_("Full", m, &i__1, &af[af_offset], lda, &q[*n - *m + 1 + 
		    q_dim1], lda);
	}
	if (*m > 1) {
	    i__1 = *m - 1;
	    i__2 = *m - 1;
	    slacpy_("Lower", &i__1, &i__2, &af[(*n - *m + 1) * af_dim1 + 2], 
		    lda, &q[*n - *m + 2 + (*n - *m + 1) * q_dim1], lda);
	}
    } else {
	if (*n > 1) {
	    i__1 = *n - 1;
	    i__2 = *n - 1;
	    slacpy_("Lower", &i__1, &i__2, &af[*m - *n + 2 + af_dim1], lda, &
		    q[q_dim1 + 2], lda);
	}
    }

/*     Generate the n-by-n matrix Q */

    s_copy(srnamc_1.srnamt, "SORGRQ", (ftnlen)6, (ftnlen)6);
    sorgrq_(n, n, &minmn, &q[q_offset], lda, &tau[1], &work[1], lwork, &info);

/*     Copy R */

    slaset_("Full", m, n, &c_b13, &c_b13, &r__[r_offset], lda);
    if (*m <= *n) {
	if (*m > 0) {
	    slacpy_("Upper", m, m, &af[(*n - *m + 1) * af_dim1 + 1], lda, &
		    r__[(*n - *m + 1) * r_dim1 + 1], lda);
	}
    } else {
	if (*m > *n && *n > 0) {
	    i__1 = *m - *n;
	    slacpy_("Full", &i__1, n, &af[af_offset], lda, &r__[r_offset], 
		    lda);
	}
	if (*n > 0) {
	    slacpy_("Upper", n, n, &af[*m - *n + 1 + af_dim1], lda, &r__[*m - 
		    *n + 1 + r_dim1], lda);
	}
    }

/*     Compute R - A*Q' */

    sgemm_("No transpose", "Transpose", m, n, n, &c_b20, &a[a_offset], lda, &
	    q[q_offset], lda, &c_b21, &r__[r_offset], lda);

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

    anorm = slange_("1", m, n, &a[a_offset], lda, &rwork[1]);
    resid = slange_("1", m, n, &r__[r_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", n, n, &c_b13, &c_b21, &r__[r_offset], lda);
    ssyrk_("Upper", "No transpose", n, n, &c_b20, &q[q_offset], lda, &c_b21, &
	    r__[r_offset], lda);

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

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

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

    return 0;

/*     End of SRQT01 */

} /* srqt01_ */