#include "blaswrap.h"
/* crqt01.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 complex c_b1 = {-1e10f,-1e10f};
static complex c_b12 = {0.f,0.f};
static complex c_b19 = {-1.f,0.f};
static complex c_b20 = {1.f,0.f};
static real c_b28 = -1.f;
static real c_b29 = 1.f;

/* Subroutine */ int crqt01_(integer *m, integer *n, complex *a, complex *af, 
	complex *q, complex *r__, integer *lda, complex *tau, complex *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;
    extern /* Subroutine */ int cgemm_(char *, char *, integer *, integer *, 
	    integer *, complex *, complex *, integer *, complex *, integer *, 
	    complex *, complex *, integer *), cherk_(char *, 
	    char *, integer *, integer *, real *, complex *, integer *, real *
, complex *, integer *);
    static real resid, anorm;
    static integer minmn;
    extern doublereal clange_(char *, integer *, integer *, complex *, 
	    integer *, real *), slamch_(char *);
    extern /* Subroutine */ int cgerqf_(integer *, integer *, complex *, 
	    integer *, complex *, complex *, integer *, integer *), clacpy_(
	    char *, integer *, integer *, complex *, integer *, complex *, 
	    integer *), claset_(char *, integer *, integer *, complex 
	    *, complex *, complex *, integer *);
    extern doublereal clansy_(char *, char *, integer *, complex *, integer *,
	     real *);
    extern /* Subroutine */ int cungrq_(integer *, integer *, integer *, 
	    complex *, integer *, complex *, complex *, integer *, integer *);


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


    Purpose   
    =======   

    CRQT01 tests CGERQF, which computes the RQ factorization of an m-by-n   
    matrix A, and partially tests CUNGRQ which forms the n-by-n   
    orthogonal matrix Q.   

    CRQT01 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) COMPLEX array, dimension (LDA,N)   
            The m-by-n matrix A.   

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

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

    R       (workspace) COMPLEX 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) COMPLEX array, dimension (min(M,N))   
            The scalar factors of the elementary reflectors, as returned   
            by CGERQF.   

    WORK    (workspace) COMPLEX 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. */

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

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

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

/*     Copy details of Q */

    claset_("Full", n, n, &c_b1, &c_b1, &q[q_offset], lda);
    if (*m <= *n) {
	if (*m > 0 && *m < *n) {
	    i__1 = *n - *m;
	    clacpy_("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;
	    clacpy_("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;
	    clacpy_("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, "CUNGRQ", (ftnlen)6, (ftnlen)6);
    cungrq_(n, n, &minmn, &q[q_offset], lda, &tau[1], &work[1], lwork, &info);

/*     Copy R */

    claset_("Full", m, n, &c_b12, &c_b12, &r__[r_offset], lda);
    if (*m <= *n) {
	if (*m > 0) {
	    clacpy_("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;
	    clacpy_("Full", &i__1, n, &af[af_offset], lda, &r__[r_offset], 
		    lda);
	}
	if (*n > 0) {
	    clacpy_("Upper", n, n, &af[*m - *n + 1 + af_dim1], lda, &r__[*m - 
		    *n + 1 + r_dim1], lda);
	}
    }

/*     Compute R - A*Q' */

    cgemm_("No transpose", "Conjugate transpose", m, n, n, &c_b19, &a[
	    a_offset], lda, &q[q_offset], lda, &c_b20, &r__[r_offset], lda);

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

    anorm = clange_("1", m, n, &a[a_offset], lda, &rwork[1]);
    resid = clange_("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' */

    claset_("Full", n, n, &c_b12, &c_b20, &r__[r_offset], lda);
    cherk_("Upper", "No transpose", n, n, &c_b28, &q[q_offset], lda, &c_b29, &
	    r__[r_offset], lda);

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

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

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

    return 0;

/*     End of CRQT01 */

} /* crqt01_ */