zchkrq.c

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/* zchkrq.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"
#include "blaswrap.h"

/* Common Block Declarations */

struct {
    integer infot, nunit;
    logical ok, lerr;
} infoc_;

#define infoc_1 infoc_

struct {
    char srnamt[32];
} srnamc_;

#define srnamc_1 srnamc_

/* Table of constant values */

static integer c__2 = 2;
static integer c__0 = 0;
static integer c_n1 = -1;
static integer c__1 = 1;
static integer c__3 = 3;

/* Subroutine */ int zchkrq_(logical *dotype, integer *nm, integer *mval, 
        integer *nn, integer *nval, integer *nnb, integer *nbval, integer *
        nxval, integer *nrhs, doublereal *thresh, logical *tsterr, integer *
        nmax, doublecomplex *a, doublecomplex *af, doublecomplex *aq, 
        doublecomplex *ar, doublecomplex *ac, doublecomplex *b, doublecomplex 
        *x, doublecomplex *xact, doublecomplex *tau, doublecomplex *work, 
        doublereal *rwork, integer *iwork, integer *nout)
{
    /* Initialized data */

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

    /* Format strings */
    static char fmt_9999[] = "(\002 M=\002,i5,\002, N=\002,i5,\002, K=\002,i"
            "5,\002, NB=\002,i4,\002, NX=\002,i5,\002, type \002,i2,\002, tes"
            "t(\002,i2,\002)=\002,g12.5)";

    /* System generated locals */
    integer i__1, i__2, i__3, i__4, i__5;

    /* Builtin functions */
    /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
    integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void);

    /* Local variables */
    integer i__, k, m, n, nb, ik, im, in, kl, nk, ku, nt, nx, lda, inb, mode, 
            imat, info;
    char path[3];
    integer kval[4];
    char dist[1], type__[1];
    integer nrun;
    extern /* Subroutine */ int alahd_(integer *, char *);
    integer nfail, iseed[4];
    extern /* Subroutine */ int zget02_(char *, integer *, integer *, integer 
            *, doublecomplex *, integer *, doublecomplex *, integer *, 
            doublecomplex *, integer *, doublereal *, doublereal *);
    doublereal anorm;
    integer minmn, nerrs, lwork;
    extern /* Subroutine */ int zrqt01_(integer *, integer *, doublecomplex *, 
             doublecomplex *, doublecomplex *, doublecomplex *, integer *, 
            doublecomplex *, doublecomplex *, integer *, doublereal *, 
            doublereal *), zrqt02_(integer *, integer *, integer *, 
            doublecomplex *, doublecomplex *, doublecomplex *, doublecomplex *
, integer *, doublecomplex *, doublecomplex *, integer *, 
            doublereal *, doublereal *), zrqt03_(integer *, integer *, 
            integer *, doublecomplex *, doublecomplex *, doublecomplex *, 
            doublecomplex *, integer *, doublecomplex *, doublecomplex *, 
            integer *, doublereal *, doublereal *), zlatb4_(char *, integer *, 
             integer *, integer *, char *, integer *, integer *, doublereal *, 
             integer *, doublereal *, char *), 
            alaerh_(char *, char *, integer *, integer *, char *, integer *, 
            integer *, integer *, integer *, integer *, integer *, integer *, 
            integer *, integer *), alasum_(char *, 
            integer *, integer *, integer *, integer *);
    doublereal cndnum;
    extern logical zgennd_(integer *, integer *, doublecomplex *, integer *);
    extern /* Subroutine */ int xlaenv_(integer *, integer *), zlacpy_(char *, 
             integer *, integer *, doublecomplex *, integer *, doublecomplex *
, integer *), zlarhs_(char *, char *, char *, char *, 
            integer *, integer *, integer *, integer *, integer *, 
            doublecomplex *, integer *, doublecomplex *, integer *, 
            doublecomplex *, integer *, integer *, integer *), zlatms_(integer *, integer *, char *, integer *, 
            char *, doublereal *, integer *, doublereal *, doublereal *, 
            integer *, integer *, char *, doublecomplex *, integer *, 
            doublecomplex *, integer *), zgerqs_(
            integer *, integer *, integer *, doublecomplex *, integer *, 
            doublecomplex *, doublecomplex *, integer *, doublecomplex *, 
            integer *, integer *);
    doublereal result[8];
    extern /* Subroutine */ int zerrrq_(char *, integer *);

    /* Fortran I/O blocks */
    static cilist io___33 = { 0, 0, 0, fmt_9999, 0 };



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

/*     .. Scalar Arguments .. */
/*     .. */
/*     .. Array Arguments .. */
/*     .. */

/*  Purpose */
/*  ======= */

/*  ZCHKRQ tests ZGERQF, ZUNGRQ and CUNMRQ. */

/*  Arguments */
/*  ========= */

/*  DOTYPE  (input) LOGICAL array, dimension (NTYPES) */
/*          The matrix types to be used for testing.  Matrices of type j */
/*          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = */
/*          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used. */

/*  NM      (input) INTEGER */
/*          The number of values of M contained in the vector MVAL. */

/*  MVAL    (input) INTEGER array, dimension (NM) */
/*          The values of the matrix row dimension M. */

/*  NN      (input) INTEGER */
/*          The number of values of N contained in the vector NVAL. */

/*  NVAL    (input) INTEGER array, dimension (NN) */
/*          The values of the matrix column dimension N. */

/*  NNB     (input) INTEGER */
/*          The number of values of NB and NX contained in the */
/*          vectors NBVAL and NXVAL.  The blocking parameters are used */
/*          in pairs (NB,NX). */

/*  NBVAL   (input) INTEGER array, dimension (NNB) */
/*          The values of the blocksize NB. */

/*  NXVAL   (input) INTEGER array, dimension (NNB) */
/*          The values of the crossover point NX. */

/*  NRHS    (input) INTEGER */
/*          The number of right hand side vectors to be generated for */
/*          each linear system. */

/*  THRESH  (input) DOUBLE PRECISION */
/*          The threshold value for the test ratios.  A result is */
/*          included in the output file if RESULT >= THRESH.  To have */
/*          every test ratio printed, use THRESH = 0. */

/*  TSTERR  (input) LOGICAL */
/*          Flag that indicates whether error exits are to be tested. */

/*  NMAX    (input) INTEGER */
/*          The maximum value permitted for M or N, used in dimensioning */
/*          the work arrays. */

/*  A       (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) */

/*  AF      (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) */

/*  AQ      (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) */

/*  AR      (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) */

/*  AC      (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) */

/*  B       (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) */

/*  X       (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) */

/*  XACT    (workspace) COMPLEX*16 array, dimension (NMAX*NRHS) */

/*  TAU     (workspace) COMPLEX*16 array, dimension (NMAX) */

/*  WORK    (workspace) COMPLEX*16 array, dimension (NMAX*NMAX) */

/*  RWORK   (workspace) DOUBLE PRECISION array, dimension (NMAX) */

/*  IWORK   (workspace) INTEGER array, dimension (NMAX) */

/*  NOUT    (input) INTEGER */
/*          The unit number for output. */

/*  ===================================================================== */

/*     .. Parameters .. */
/*     .. */
/*     .. Local Scalars .. */
/*     .. */
/*     .. Local Arrays .. */
/*     .. */
/*     .. External Functions .. */
/*     .. */
/*     .. External Subroutines .. */
/*     .. */
/*     .. Intrinsic Functions .. */
/*     .. */
/*     .. Scalars in Common .. */
/*     .. */
/*     .. Common blocks .. */
/*     .. */
/*     .. Data statements .. */
    /* Parameter adjustments */
    --iwork;
    --rwork;
    --work;
    --tau;
    --xact;
    --x;
    --b;
    --ac;
    --ar;
    --aq;
    --af;
    --a;
    --nxval;
    --nbval;
    --nval;
    --mval;
    --dotype;

    /* Function Body */
/*     .. */
/*     .. Executable Statements .. */

/*     Initialize constants and the random number seed. */

    s_copy(path, "Zomplex precision", (ftnlen)1, (ftnlen)17);
    s_copy(path + 1, "RQ", (ftnlen)2, (ftnlen)2);
    nrun = 0;
    nfail = 0;
    nerrs = 0;
    for (i__ = 1; i__ <= 4; ++i__) {
        iseed[i__ - 1] = iseedy[i__ - 1];
/* L10: */
    }

/*     Test the error exits */

    if (*tsterr) {
        zerrrq_(path, nout);
    }
    infoc_1.infot = 0;
    xlaenv_(&c__2, &c__2);

    lda = *nmax;
    lwork = *nmax * max(*nmax,*nrhs);

/*     Do for each value of M in MVAL. */

    i__1 = *nm;
    for (im = 1; im <= i__1; ++im) {
        m = mval[im];

/*        Do for each value of N in NVAL. */

        i__2 = *nn;
        for (in = 1; in <= i__2; ++in) {
            n = nval[in];
            minmn = min(m,n);
            for (imat = 1; imat <= 8; ++imat) {

/*              Do the tests only if DOTYPE( IMAT ) is true. */

                if (! dotype[imat]) {
                    goto L50;
                }

/*              Set up parameters with ZLATB4 and generate a test matrix */
/*              with ZLATMS. */

                zlatb4_(path, &imat, &m, &n, type__, &kl, &ku, &anorm, &mode, 
                        &cndnum, dist);

                s_copy(srnamc_1.srnamt, "ZLATMS", (ftnlen)32, (ftnlen)6);
                zlatms_(&m, &n, dist, iseed, type__, &rwork[1], &mode, &
                        cndnum, &anorm, &kl, &ku, "No packing", &a[1], &lda, &
                        work[1], &info);

/*              Check error code from ZLATMS. */

                if (info != 0) {
                    alaerh_(path, "ZLATMS", &info, &c__0, " ", &m, &n, &c_n1, 
                            &c_n1, &c_n1, &imat, &nfail, &nerrs, nout);
                    goto L50;
                }

/*              Set some values for K: the first value must be MINMN, */
/*              corresponding to the call of ZRQT01; other values are */
/*              used in the calls of ZRQT02, and must not exceed MINMN. */

                kval[0] = minmn;
                kval[1] = 0;
                kval[2] = 1;
                kval[3] = minmn / 2;
                if (minmn == 0) {
                    nk = 1;
                } else if (minmn == 1) {
                    nk = 2;
                } else if (minmn <= 3) {
                    nk = 3;
                } else {
                    nk = 4;
                }

/*              Do for each value of K in KVAL */

                i__3 = nk;
                for (ik = 1; ik <= i__3; ++ik) {
                    k = kval[ik - 1];

/*                 Do for each pair of values (NB,NX) in NBVAL and NXVAL. */

                    i__4 = *nnb;
                    for (inb = 1; inb <= i__4; ++inb) {
                        nb = nbval[inb];
                        xlaenv_(&c__1, &nb);
                        nx = nxval[inb];
                        xlaenv_(&c__3, &nx);
                        for (i__ = 1; i__ <= 8; ++i__) {
                            result[i__ - 1] = 0.;
                        }
                        nt = 2;
                        if (ik == 1) {

/*                       Test ZGERQF */

                            zrqt01_(&m, &n, &a[1], &af[1], &aq[1], &ar[1], &
                                    lda, &tau[1], &work[1], &lwork, &rwork[1], 
                                     result);
                            if (m <= n) {
/*                          Check the upper-right m-by-m corner */
                                if (! zgennd_(&m, &m, &af[lda * (n - m) + 1], 
                                        &lda)) {
                                    result[7] = *thresh * 2;
                                }
                            } else {
/*                          Check the (m-n)th subdiagonal */
                                i__ = m - n;
                                if (! zgennd_(&n, &n, &af[i__ + 1], &lda)) {
                                    result[7] = *thresh * 2;
                                }
                            }
                        } else if (m <= n) {

/*                       Test ZUNGRQ, using factorization */
/*                       returned by ZRQT01 */

                            zrqt02_(&m, &n, &k, &a[1], &af[1], &aq[1], &ar[1], 
                                     &lda, &tau[1], &work[1], &lwork, &rwork[
                                    1], result);
                        } else {
                            result[0] = 0.;
                            result[1] = 0.;
                        }
                        if (m >= k) {

/*                       Test ZUNMRQ, using factorization returned */
/*                       by ZRQT01 */

                            zrqt03_(&m, &n, &k, &af[1], &ac[1], &ar[1], &aq[1]
, &lda, &tau[1], &work[1], &lwork, &rwork[
                                    1], &result[2]);
                            nt += 4;

/*                       If M>=N and K=N, call ZGERQS to solve a system */
/*                       with NRHS right hand sides and compute the */
/*                       residual. */

                            if (k == m && inb == 1) {

/*                          Generate a solution and set the right */
/*                          hand side. */

                                s_copy(srnamc_1.srnamt, "ZLARHS", (ftnlen)32, 
                                        (ftnlen)6);
                                zlarhs_(path, "New", "Full", "No transpose", &
                                        m, &n, &c__0, &c__0, nrhs, &a[1], &
                                        lda, &xact[1], &lda, &b[1], &lda, 
                                        iseed, &info);

                                zlacpy_("Full", &m, nrhs, &b[1], &lda, &x[n - 
                                        m + 1], &lda);
                                s_copy(srnamc_1.srnamt, "ZGERQS", (ftnlen)32, 
                                        (ftnlen)6);
                                zgerqs_(&m, &n, nrhs, &af[1], &lda, &tau[1], &
                                        x[1], &lda, &work[1], &lwork, &info);

/*                          Check error code from ZGERQS. */

                                if (info != 0) {
                                    alaerh_(path, "ZGERQS", &info, &c__0, 
                                            " ", &m, &n, nrhs, &c_n1, &nb, &
                                            imat, &nfail, &nerrs, nout);
                                }

                                zget02_("No transpose", &m, &n, nrhs, &a[1], &
                                        lda, &x[1], &lda, &b[1], &lda, &rwork[
                                        1], &result[6]);
                                ++nt;
                            } else {
                                result[6] = 0.;
                            }
                        } else {
                            result[2] = 0.;
                            result[3] = 0.;
                            result[4] = 0.;
                            result[5] = 0.;
                        }

/*                    Print information about the tests that did not */
/*                    pass the threshold. */

                        i__5 = nt;
                        for (i__ = 1; i__ <= i__5; ++i__) {
                            if (result[i__ - 1] >= *thresh) {
                                if (nfail == 0 && nerrs == 0) {
                                    alahd_(nout, path);
                                }
                                io___33.ciunit = *nout;
                                s_wsfe(&io___33);
                                do_fio(&c__1, (char *)&m, (ftnlen)sizeof(
                                        integer));
                                do_fio(&c__1, (char *)&n, (ftnlen)sizeof(
                                        integer));
                                do_fio(&c__1, (char *)&k, (ftnlen)sizeof(
                                        integer));
                                do_fio(&c__1, (char *)&nb, (ftnlen)sizeof(
                                        integer));
                                do_fio(&c__1, (char *)&nx, (ftnlen)sizeof(
                                        integer));
                                do_fio(&c__1, (char *)&imat, (ftnlen)sizeof(
                                        integer));
                                do_fio(&c__1, (char *)&i__, (ftnlen)sizeof(
                                        integer));
                                do_fio(&c__1, (char *)&result[i__ - 1], (
                                        ftnlen)sizeof(doublereal));
                                e_wsfe();
                                ++nfail;
                            }
/* L20: */
                        }
                        nrun += nt;
/* L30: */
                    }
/* L40: */
                }
L50:
                ;
            }
/* L60: */
        }
/* L70: */
    }

/*     Print a summary of the results. */

    alasum_(path, nout, &nfail, &nrun, &nerrs);

    return 0;

/*     End of ZCHKRQ */

} /* zchkrq_ */