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haskell-igraph-0.8.0: igraph/src/dstebz.c

/*  -- translated by f2c (version 20100827).
   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"

/* Table of constant values */

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

/* > \brief \b DSTEBZ   

    =========== DOCUMENTATION ===========   

   Online html documentation available at   
              http://www.netlib.org/lapack/explore-html/   

   > \htmlonly   
   > Download DSTEBZ + dependencies   
   > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dstebz.
f">   
   > [TGZ]</a>   
   > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dstebz.
f">   
   > [ZIP]</a>   
   > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dstebz.
f">   
   > [TXT]</a>   
   > \endhtmlonly   

    Definition:   
    ===========   

         SUBROUTINE DSTEBZ( RANGE, ORDER, N, VL, VU, IL, IU, ABSTOL, D, E,   
                            M, NSPLIT, W, IBLOCK, ISPLIT, WORK, IWORK,   
                            INFO )   

         CHARACTER          ORDER, RANGE   
         INTEGER            IL, INFO, IU, M, N, NSPLIT   
         DOUBLE PRECISION   ABSTOL, VL, VU   
         INTEGER            IBLOCK( * ), ISPLIT( * ), IWORK( * )   
         DOUBLE PRECISION   D( * ), E( * ), W( * ), WORK( * )   


   > \par Purpose:   
    =============   
   >   
   > \verbatim   
   >   
   > DSTEBZ computes the eigenvalues of a symmetric tridiagonal   
   > matrix T.  The user may ask for all eigenvalues, all eigenvalues   
   > in the half-open interval (VL, VU], or the IL-th through IU-th   
   > eigenvalues.   
   >   
   > To avoid overflow, the matrix must be scaled so that its   
   > largest element is no greater than overflow**(1/2) * underflow**(1/4) in absolute value, and for greatest
   
   > accuracy, it should not be much smaller than that.   
   >   
   > See W. Kahan "Accurate Eigenvalues of a Symmetric Tridiagonal   
   > Matrix", Report CS41, Computer Science Dept., Stanford   
   > University, July 21, 1966.   
   > \endverbatim   

    Arguments:   
    ==========   

   > \param[in] RANGE   
   > \verbatim   
   >          RANGE is CHARACTER*1   
   >          = 'A': ("All")   all eigenvalues will be found.   
   >          = 'V': ("Value") all eigenvalues in the half-open interval   
   >                           (VL, VU] will be found.   
   >          = 'I': ("Index") the IL-th through IU-th eigenvalues (of the   
   >                           entire matrix) will be found.   
   > \endverbatim   
   >   
   > \param[in] ORDER   
   > \verbatim   
   >          ORDER is CHARACTER*1   
   >          = 'B': ("By Block") the eigenvalues will be grouped by   
   >                              split-off block (see IBLOCK, ISPLIT) and   
   >                              ordered from smallest to largest within   
   >                              the block.   
   >          = 'E': ("Entire matrix")   
   >                              the eigenvalues for the entire matrix   
   >                              will be ordered from smallest to   
   >                              largest.   
   > \endverbatim   
   >   
   > \param[in] N   
   > \verbatim   
   >          N is INTEGER   
   >          The order of the tridiagonal matrix T.  N >= 0.   
   > \endverbatim   
   >   
   > \param[in] VL   
   > \verbatim   
   >          VL is DOUBLE PRECISION   
   > \endverbatim   
   >   
   > \param[in] VU   
   > \verbatim   
   >          VU is DOUBLE PRECISION   
   >   
   >          If RANGE='V', the lower and upper bounds of the interval to   
   >          be searched for eigenvalues.  Eigenvalues less than or equal   
   >          to VL, or greater than VU, will not be returned.  VL < VU.   
   >          Not referenced if RANGE = 'A' or 'I'.   
   > \endverbatim   
   >   
   > \param[in] IL   
   > \verbatim   
   >          IL is INTEGER   
   > \endverbatim   
   >   
   > \param[in] IU   
   > \verbatim   
   >          IU is INTEGER   
   >   
   >          If RANGE='I', the indices (in ascending order) of the   
   >          smallest and largest eigenvalues to be returned.   
   >          1 <= IL <= IU <= N, if N > 0; IL = 1 and IU = 0 if N = 0.   
   >          Not referenced if RANGE = 'A' or 'V'.   
   > \endverbatim   
   >   
   > \param[in] ABSTOL   
   > \verbatim   
   >          ABSTOL is DOUBLE PRECISION   
   >          The absolute tolerance for the eigenvalues.  An eigenvalue   
   >          (or cluster) is considered to be located if it has been   
   >          determined to lie in an interval whose width is ABSTOL or   
   >          less.  If ABSTOL is less than or equal to zero, then ULP*|T|   
   >          will be used, where |T| means the 1-norm of T.   
   >   
   >          Eigenvalues will be computed most accurately when ABSTOL is   
   >          set to twice the underflow threshold 2*DLAMCH('S'), not zero.   
   > \endverbatim   
   >   
   > \param[in] D   
   > \verbatim   
   >          D is DOUBLE PRECISION array, dimension (N)   
   >          The n diagonal elements of the tridiagonal matrix T.   
   > \endverbatim   
   >   
   > \param[in] E   
   > \verbatim   
   >          E is DOUBLE PRECISION array, dimension (N-1)   
   >          The (n-1) off-diagonal elements of the tridiagonal matrix T.   
   > \endverbatim   
   >   
   > \param[out] M   
   > \verbatim   
   >          M is INTEGER   
   >          The actual number of eigenvalues found. 0 <= M <= N.   
   >          (See also the description of INFO=2,3.)   
   > \endverbatim   
   >   
   > \param[out] NSPLIT   
   > \verbatim   
   >          NSPLIT is INTEGER   
   >          The number of diagonal blocks in the matrix T.   
   >          1 <= NSPLIT <= N.   
   > \endverbatim   
   >   
   > \param[out] W   
   > \verbatim   
   >          W is DOUBLE PRECISION array, dimension (N)   
   >          On exit, the first M elements of W will contain the   
   >          eigenvalues.  (DSTEBZ may use the remaining N-M elements as   
   >          workspace.)   
   > \endverbatim   
   >   
   > \param[out] IBLOCK   
   > \verbatim   
   >          IBLOCK is INTEGER array, dimension (N)   
   >          At each row/column j where E(j) is zero or small, the   
   >          matrix T is considered to split into a block diagonal   
   >          matrix.  On exit, if INFO = 0, IBLOCK(i) specifies to which   
   >          block (from 1 to the number of blocks) the eigenvalue W(i)   
   >          belongs.  (DSTEBZ may use the remaining N-M elements as   
   >          workspace.)   
   > \endverbatim   
   >   
   > \param[out] ISPLIT   
   > \verbatim   
   >          ISPLIT is INTEGER array, dimension (N)   
   >          The splitting points, at which T breaks up into submatrices.   
   >          The first submatrix consists of rows/columns 1 to ISPLIT(1),   
   >          the second of rows/columns ISPLIT(1)+1 through ISPLIT(2),   
   >          etc., and the NSPLIT-th consists of rows/columns   
   >          ISPLIT(NSPLIT-1)+1 through ISPLIT(NSPLIT)=N.   
   >          (Only the first NSPLIT elements will actually be used, but   
   >          since the user cannot know a priori what value NSPLIT will   
   >          have, N words must be reserved for ISPLIT.)   
   > \endverbatim   
   >   
   > \param[out] WORK   
   > \verbatim   
   >          WORK is DOUBLE PRECISION array, dimension (4*N)   
   > \endverbatim   
   >   
   > \param[out] IWORK   
   > \verbatim   
   >          IWORK is INTEGER array, dimension (3*N)   
   > \endverbatim   
   >   
   > \param[out] INFO   
   > \verbatim   
   >          INFO is INTEGER   
   >          = 0:  successful exit   
   >          < 0:  if INFO = -i, the i-th argument had an illegal value   
   >          > 0:  some or all of the eigenvalues failed to converge or   
   >                were not computed:   
   >                =1 or 3: Bisection failed to converge for some   
   >                        eigenvalues; these eigenvalues are flagged by a   
   >                        negative block number.  The effect is that the   
   >                        eigenvalues may not be as accurate as the   
   >                        absolute and relative tolerances.  This is   
   >                        generally caused by unexpectedly inaccurate   
   >                        arithmetic.   
   >                =2 or 3: RANGE='I' only: Not all of the eigenvalues   
   >                        IL:IU were found.   
   >                        Effect: M < IU+1-IL   
   >                        Cause:  non-monotonic arithmetic, causing the   
   >                                Sturm sequence to be non-monotonic.   
   >                        Cure:   recalculate, using RANGE='A', and pick   
   >                                out eigenvalues IL:IU.  In some cases,   
   >                                increasing the PARAMETER "FUDGE" may   
   >                                make things work.   
   >                = 4:    RANGE='I', and the Gershgorin interval   
   >                        initially used was too small.  No eigenvalues   
   >                        were computed.   
   >                        Probable cause: your machine has sloppy   
   >                                        floating-point arithmetic.   
   >                        Cure: Increase the PARAMETER "FUDGE",   
   >                              recompile, and try again.   
   > \endverbatim   

   > \par Internal Parameters:   
    =========================   
   >   
   > \verbatim   
   >  RELFAC  DOUBLE PRECISION, default = 2.0e0   
   >          The relative tolerance.  An interval (a,b] lies within   
   >          "relative tolerance" if  b-a < RELFAC*ulp*max(|a|,|b|),   
   >          where "ulp" is the machine precision (distance from 1 to   
   >          the next larger floating point number.)   
   >   
   >  FUDGE   DOUBLE PRECISION, default = 2   
   >          A "fudge factor" to widen the Gershgorin intervals.  Ideally,   
   >          a value of 1 should work, but on machines with sloppy   
   >          arithmetic, this needs to be larger.  The default for   
   >          publicly released versions should be large enough to handle   
   >          the worst machine around.  Note that this has no effect   
   >          on accuracy of the solution.   
   > \endverbatim   

    Authors:   
    ========   

   > \author Univ. of Tennessee   
   > \author Univ. of California Berkeley   
   > \author Univ. of Colorado Denver   
   > \author NAG Ltd.   

   > \date November 2011   

   > \ingroup auxOTHERcomputational   

    =====================================================================   
   Subroutine */ int igraphdstebz_(char *range, char *order, integer *n, doublereal 
	*vl, doublereal *vu, integer *il, integer *iu, doublereal *abstol, 
	doublereal *d__, doublereal *e, integer *m, integer *nsplit, 
	doublereal *w, integer *iblock, integer *isplit, doublereal *work, 
	integer *iwork, integer *info)
{
    /* System generated locals */
    integer i__1, i__2, i__3;
    doublereal d__1, d__2, d__3, d__4, d__5;

    /* Builtin functions */
    double sqrt(doublereal), log(doublereal);

    /* Local variables */
    integer j, ib, jb, ie, je, nb;
    doublereal gl;
    integer im, in;
    doublereal gu;
    integer iw;
    doublereal wl, wu;
    integer nwl;
    doublereal ulp, wlu, wul;
    integer nwu;
    doublereal tmp1, tmp2;
    integer iend, ioff, iout, itmp1, jdisc;
    extern logical igraphlsame_(char *, char *);
    integer iinfo;
    doublereal atoli;
    integer iwoff;
    doublereal bnorm;
    integer itmax;
    doublereal wkill, rtoli, tnorm;
    extern doublereal igraphdlamch_(char *);
    integer ibegin;
    extern /* Subroutine */ int igraphdlaebz_(integer *, integer *, integer *, 
	    integer *, integer *, integer *, doublereal *, doublereal *, 
	    doublereal *, doublereal *, doublereal *, doublereal *, integer *,
	     doublereal *, doublereal *, integer *, integer *, doublereal *, 
	    integer *, integer *);
    integer irange, idiscl;
    doublereal safemn;
    integer idumma[1];
    extern /* Subroutine */ int igraphxerbla_(char *, integer *, ftnlen);
    extern integer igraphilaenv_(integer *, char *, char *, integer *, integer *, 
	    integer *, integer *, ftnlen, ftnlen);
    integer idiscu, iorder;
    logical ncnvrg;
    doublereal pivmin;
    logical toofew;


/*  -- LAPACK computational routine (version 3.4.0) --   
    -- LAPACK is a software package provided by Univ. of Tennessee,    --   
    -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--   
       November 2011   


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


       Parameter adjustments */
    --iwork;
    --work;
    --isplit;
    --iblock;
    --w;
    --e;
    --d__;

    /* Function Body */
    *info = 0;

/*     Decode RANGE */

    if (igraphlsame_(range, "A")) {
	irange = 1;
    } else if (igraphlsame_(range, "V")) {
	irange = 2;
    } else if (igraphlsame_(range, "I")) {
	irange = 3;
    } else {
	irange = 0;
    }

/*     Decode ORDER */

    if (igraphlsame_(order, "B")) {
	iorder = 2;
    } else if (igraphlsame_(order, "E")) {
	iorder = 1;
    } else {
	iorder = 0;
    }

/*     Check for Errors */

    if (irange <= 0) {
	*info = -1;
    } else if (iorder <= 0) {
	*info = -2;
    } else if (*n < 0) {
	*info = -3;
    } else if (irange == 2) {
	if (*vl >= *vu) {
	    *info = -5;
	}
    } else if (irange == 3 && (*il < 1 || *il > max(1,*n))) {
	*info = -6;
    } else if (irange == 3 && (*iu < min(*n,*il) || *iu > *n)) {
	*info = -7;
    }

    if (*info != 0) {
	i__1 = -(*info);
	igraphxerbla_("DSTEBZ", &i__1, (ftnlen)6);
	return 0;
    }

/*     Initialize error flags */

    *info = 0;
    ncnvrg = FALSE_;
    toofew = FALSE_;

/*     Quick return if possible */

    *m = 0;
    if (*n == 0) {
	return 0;
    }

/*     Simplifications: */

    if (irange == 3 && *il == 1 && *iu == *n) {
	irange = 1;
    }

/*     Get machine constants   
       NB is the minimum vector length for vector bisection, or 0   
       if only scalar is to be done. */

    safemn = igraphdlamch_("S");
    ulp = igraphdlamch_("P");
    rtoli = ulp * 2.;
    nb = igraphilaenv_(&c__1, "DSTEBZ", " ", n, &c_n1, &c_n1, &c_n1, (ftnlen)6, (
	    ftnlen)1);
    if (nb <= 1) {
	nb = 0;
    }

/*     Special Case when N=1 */

    if (*n == 1) {
	*nsplit = 1;
	isplit[1] = 1;
	if (irange == 2 && (*vl >= d__[1] || *vu < d__[1])) {
	    *m = 0;
	} else {
	    w[1] = d__[1];
	    iblock[1] = 1;
	    *m = 1;
	}
	return 0;
    }

/*     Compute Splitting Points */

    *nsplit = 1;
    work[*n] = 0.;
    pivmin = 1.;

    i__1 = *n;
    for (j = 2; j <= i__1; ++j) {
/* Computing 2nd power */
	d__1 = e[j - 1];
	tmp1 = d__1 * d__1;
/* Computing 2nd power */
	d__2 = ulp;
	if ((d__1 = d__[j] * d__[j - 1], abs(d__1)) * (d__2 * d__2) + safemn 
		> tmp1) {
	    isplit[*nsplit] = j - 1;
	    ++(*nsplit);
	    work[j - 1] = 0.;
	} else {
	    work[j - 1] = tmp1;
	    pivmin = max(pivmin,tmp1);
	}
/* L10: */
    }
    isplit[*nsplit] = *n;
    pivmin *= safemn;

/*     Compute Interval and ATOLI */

    if (irange == 3) {

/*        RANGE='I': Compute the interval containing eigenvalues   
                     IL through IU.   

          Compute Gershgorin interval for entire (split) matrix   
          and use it as the initial interval */

	gu = d__[1];
	gl = d__[1];
	tmp1 = 0.;

	i__1 = *n - 1;
	for (j = 1; j <= i__1; ++j) {
	    tmp2 = sqrt(work[j]);
/* Computing MAX */
	    d__1 = gu, d__2 = d__[j] + tmp1 + tmp2;
	    gu = max(d__1,d__2);
/* Computing MIN */
	    d__1 = gl, d__2 = d__[j] - tmp1 - tmp2;
	    gl = min(d__1,d__2);
	    tmp1 = tmp2;
/* L20: */
	}

/* Computing MAX */
	d__1 = gu, d__2 = d__[*n] + tmp1;
	gu = max(d__1,d__2);
/* Computing MIN */
	d__1 = gl, d__2 = d__[*n] - tmp1;
	gl = min(d__1,d__2);
/* Computing MAX */
	d__1 = abs(gl), d__2 = abs(gu);
	tnorm = max(d__1,d__2);
	gl = gl - tnorm * 2.1 * ulp * *n - pivmin * 4.2000000000000002;
	gu = gu + tnorm * 2.1 * ulp * *n + pivmin * 2.1;

/*        Compute Iteration parameters */

	itmax = (integer) ((log(tnorm + pivmin) - log(pivmin)) / log(2.)) + 2;
	if (*abstol <= 0.) {
	    atoli = ulp * tnorm;
	} else {
	    atoli = *abstol;
	}

	work[*n + 1] = gl;
	work[*n + 2] = gl;
	work[*n + 3] = gu;
	work[*n + 4] = gu;
	work[*n + 5] = gl;
	work[*n + 6] = gu;
	iwork[1] = -1;
	iwork[2] = -1;
	iwork[3] = *n + 1;
	iwork[4] = *n + 1;
	iwork[5] = *il - 1;
	iwork[6] = *iu;

	igraphdlaebz_(&c__3, &itmax, n, &c__2, &c__2, &nb, &atoli, &rtoli, &pivmin, 
		&d__[1], &e[1], &work[1], &iwork[5], &work[*n + 1], &work[*n 
		+ 5], &iout, &iwork[1], &w[1], &iblock[1], &iinfo);

	if (iwork[6] == *iu) {
	    wl = work[*n + 1];
	    wlu = work[*n + 3];
	    nwl = iwork[1];
	    wu = work[*n + 4];
	    wul = work[*n + 2];
	    nwu = iwork[4];
	} else {
	    wl = work[*n + 2];
	    wlu = work[*n + 4];
	    nwl = iwork[2];
	    wu = work[*n + 3];
	    wul = work[*n + 1];
	    nwu = iwork[3];
	}

	if (nwl < 0 || nwl >= *n || nwu < 1 || nwu > *n) {
	    *info = 4;
	    return 0;
	}
    } else {

/*        RANGE='A' or 'V' -- Set ATOLI   

   Computing MAX */
	d__3 = abs(d__[1]) + abs(e[1]), d__4 = (d__1 = d__[*n], abs(d__1)) + (
		d__2 = e[*n - 1], abs(d__2));
	tnorm = max(d__3,d__4);

	i__1 = *n - 1;
	for (j = 2; j <= i__1; ++j) {
/* Computing MAX */
	    d__4 = tnorm, d__5 = (d__1 = d__[j], abs(d__1)) + (d__2 = e[j - 1]
		    , abs(d__2)) + (d__3 = e[j], abs(d__3));
	    tnorm = max(d__4,d__5);
/* L30: */
	}

	if (*abstol <= 0.) {
	    atoli = ulp * tnorm;
	} else {
	    atoli = *abstol;
	}

	if (irange == 2) {
	    wl = *vl;
	    wu = *vu;
	} else {
	    wl = 0.;
	    wu = 0.;
	}
    }

/*     Find Eigenvalues -- Loop Over Blocks and recompute NWL and NWU.   
       NWL accumulates the number of eigenvalues .le. WL,   
       NWU accumulates the number of eigenvalues .le. WU */

    *m = 0;
    iend = 0;
    *info = 0;
    nwl = 0;
    nwu = 0;

    i__1 = *nsplit;
    for (jb = 1; jb <= i__1; ++jb) {
	ioff = iend;
	ibegin = ioff + 1;
	iend = isplit[jb];
	in = iend - ioff;

	if (in == 1) {

/*           Special Case -- IN=1 */

	    if (irange == 1 || wl >= d__[ibegin] - pivmin) {
		++nwl;
	    }
	    if (irange == 1 || wu >= d__[ibegin] - pivmin) {
		++nwu;
	    }
	    if (irange == 1 || wl < d__[ibegin] - pivmin && wu >= d__[ibegin] 
		    - pivmin) {
		++(*m);
		w[*m] = d__[ibegin];
		iblock[*m] = jb;
	    }
	} else {

/*           General Case -- IN > 1   

             Compute Gershgorin Interval   
             and use it as the initial interval */

	    gu = d__[ibegin];
	    gl = d__[ibegin];
	    tmp1 = 0.;

	    i__2 = iend - 1;
	    for (j = ibegin; j <= i__2; ++j) {
		tmp2 = (d__1 = e[j], abs(d__1));
/* Computing MAX */
		d__1 = gu, d__2 = d__[j] + tmp1 + tmp2;
		gu = max(d__1,d__2);
/* Computing MIN */
		d__1 = gl, d__2 = d__[j] - tmp1 - tmp2;
		gl = min(d__1,d__2);
		tmp1 = tmp2;
/* L40: */
	    }

/* Computing MAX */
	    d__1 = gu, d__2 = d__[iend] + tmp1;
	    gu = max(d__1,d__2);
/* Computing MIN */
	    d__1 = gl, d__2 = d__[iend] - tmp1;
	    gl = min(d__1,d__2);
/* Computing MAX */
	    d__1 = abs(gl), d__2 = abs(gu);
	    bnorm = max(d__1,d__2);
	    gl = gl - bnorm * 2.1 * ulp * in - pivmin * 2.1;
	    gu = gu + bnorm * 2.1 * ulp * in + pivmin * 2.1;

/*           Compute ATOLI for the current submatrix */

	    if (*abstol <= 0.) {
/* Computing MAX */
		d__1 = abs(gl), d__2 = abs(gu);
		atoli = ulp * max(d__1,d__2);
	    } else {
		atoli = *abstol;
	    }

	    if (irange > 1) {
		if (gu < wl) {
		    nwl += in;
		    nwu += in;
		    goto L70;
		}
		gl = max(gl,wl);
		gu = min(gu,wu);
		if (gl >= gu) {
		    goto L70;
		}
	    }

/*           Set Up Initial Interval */

	    work[*n + 1] = gl;
	    work[*n + in + 1] = gu;
	    igraphdlaebz_(&c__1, &c__0, &in, &in, &c__1, &nb, &atoli, &rtoli, &
		    pivmin, &d__[ibegin], &e[ibegin], &work[ibegin], idumma, &
		    work[*n + 1], &work[*n + (in << 1) + 1], &im, &iwork[1], &
		    w[*m + 1], &iblock[*m + 1], &iinfo);

	    nwl += iwork[1];
	    nwu += iwork[in + 1];
	    iwoff = *m - iwork[1];

/*           Compute Eigenvalues */

	    itmax = (integer) ((log(gu - gl + pivmin) - log(pivmin)) / log(2.)
		    ) + 2;
	    igraphdlaebz_(&c__2, &itmax, &in, &in, &c__1, &nb, &atoli, &rtoli, &
		    pivmin, &d__[ibegin], &e[ibegin], &work[ibegin], idumma, &
		    work[*n + 1], &work[*n + (in << 1) + 1], &iout, &iwork[1],
		     &w[*m + 1], &iblock[*m + 1], &iinfo);

/*           Copy Eigenvalues Into W and IBLOCK   
             Use -JB for block number for unconverged eigenvalues. */

	    i__2 = iout;
	    for (j = 1; j <= i__2; ++j) {
		tmp1 = (work[j + *n] + work[j + in + *n]) * .5;

/*              Flag non-convergence. */

		if (j > iout - iinfo) {
		    ncnvrg = TRUE_;
		    ib = -jb;
		} else {
		    ib = jb;
		}
		i__3 = iwork[j + in] + iwoff;
		for (je = iwork[j] + 1 + iwoff; je <= i__3; ++je) {
		    w[je] = tmp1;
		    iblock[je] = ib;
/* L50: */
		}
/* L60: */
	    }

	    *m += im;
	}
L70:
	;
    }

/*     If RANGE='I', then (WL,WU) contains eigenvalues NWL+1,...,NWU   
       If NWL+1 < IL or NWU > IU, discard extra eigenvalues. */

    if (irange == 3) {
	im = 0;
	idiscl = *il - 1 - nwl;
	idiscu = nwu - *iu;

	if (idiscl > 0 || idiscu > 0) {
	    i__1 = *m;
	    for (je = 1; je <= i__1; ++je) {
		if (w[je] <= wlu && idiscl > 0) {
		    --idiscl;
		} else if (w[je] >= wul && idiscu > 0) {
		    --idiscu;
		} else {
		    ++im;
		    w[im] = w[je];
		    iblock[im] = iblock[je];
		}
/* L80: */
	    }
	    *m = im;
	}
	if (idiscl > 0 || idiscu > 0) {

/*           Code to deal with effects of bad arithmetic:   
             Some low eigenvalues to be discarded are not in (WL,WLU],   
             or high eigenvalues to be discarded are not in (WUL,WU]   
             so just kill off the smallest IDISCL/largest IDISCU   
             eigenvalues, by simply finding the smallest/largest   
             eigenvalue(s).   

             (If N(w) is monotone non-decreasing, this should never   
                 happen.) */

	    if (idiscl > 0) {
		wkill = wu;
		i__1 = idiscl;
		for (jdisc = 1; jdisc <= i__1; ++jdisc) {
		    iw = 0;
		    i__2 = *m;
		    for (je = 1; je <= i__2; ++je) {
			if (iblock[je] != 0 && (w[je] < wkill || iw == 0)) {
			    iw = je;
			    wkill = w[je];
			}
/* L90: */
		    }
		    iblock[iw] = 0;
/* L100: */
		}
	    }
	    if (idiscu > 0) {

		wkill = wl;
		i__1 = idiscu;
		for (jdisc = 1; jdisc <= i__1; ++jdisc) {
		    iw = 0;
		    i__2 = *m;
		    for (je = 1; je <= i__2; ++je) {
			if (iblock[je] != 0 && (w[je] > wkill || iw == 0)) {
			    iw = je;
			    wkill = w[je];
			}
/* L110: */
		    }
		    iblock[iw] = 0;
/* L120: */
		}
	    }
	    im = 0;
	    i__1 = *m;
	    for (je = 1; je <= i__1; ++je) {
		if (iblock[je] != 0) {
		    ++im;
		    w[im] = w[je];
		    iblock[im] = iblock[je];
		}
/* L130: */
	    }
	    *m = im;
	}
	if (idiscl < 0 || idiscu < 0) {
	    toofew = TRUE_;
	}
    }

/*     If ORDER='B', do nothing -- the eigenvalues are already sorted   
          by block.   
       If ORDER='E', sort the eigenvalues from smallest to largest */

    if (iorder == 1 && *nsplit > 1) {
	i__1 = *m - 1;
	for (je = 1; je <= i__1; ++je) {
	    ie = 0;
	    tmp1 = w[je];
	    i__2 = *m;
	    for (j = je + 1; j <= i__2; ++j) {
		if (w[j] < tmp1) {
		    ie = j;
		    tmp1 = w[j];
		}
/* L140: */
	    }

	    if (ie != 0) {
		itmp1 = iblock[ie];
		w[ie] = w[je];
		iblock[ie] = iblock[je];
		w[je] = tmp1;
		iblock[je] = itmp1;
	    }
/* L150: */
	}
    }

    *info = 0;
    if (ncnvrg) {
	++(*info);
    }
    if (toofew) {
	*info += 2;
    }
    return 0;

/*     End of DSTEBZ */

} /* igraphdstebz_ */