/* ./src_f77/ssaup2.f -- translated by f2c (version 20030320).
   You must link the resulting object file with the libraries:
	-lf2c -lm   (in that order)
*/

#include <punc/vf2c.h>

/* Common Block Declarations */

struct {
    integer logfil, ndigit, mgetv0, msaupd, msaup2, msaitr, mseigt, msapps, 
	    msgets, mseupd, mnaupd, mnaup2, mnaitr, mneigh, mnapps, mngets, 
	    mneupd, mcaupd, mcaup2, mcaitr, mceigh, mcapps, mcgets, mceupd;
} debug_SSAUP2;

#define debug_1 debug_SSAUP2

struct {
    integer nopx, nbx, nrorth, nitref, nrstrt;
    real tsaupd, tsaup2, tsaitr, tseigt, tsgets, tsapps, tsconv, tnaupd, 
	    tnaup2, tnaitr, tneigh, tngets, tnapps, tnconv, tcaupd, tcaup2, 
	    tcaitr, tceigh, tcgets, tcapps, tcconv, tmvopx, tmvbx, tgetv0, 
	    titref, trvec;
} timing_SSAUP2;

#define timing_1 timing_SSAUP2

/* Table of constant values */

static doublereal c_b3 = .66666666666666663;
static integer c__1 = 1;
static integer c__0 = 0;
static integer c__3 = 3;
static logical c_true = TRUE_;
static integer c__2 = 2;

/* ----------------------------------------------------------------------- */
/* \BeginDoc */

/* \Name: ssaup2 */

/* \Description: */
/*  Intermediate level interface called by ssaupd. */

/* \Usage: */
/*  call ssaup2 */
/*     ( IDO, BMAT, N, WHICH, NEV, NP, TOL, RESID, MODE, IUPD, */
/*       ISHIFT, MXITER, V, LDV, H, LDH, RITZ, BOUNDS, Q, LDQ, WORKL, */
/*       IPNTR, WORKD, INFO ) */

/* \Arguments */

/*  IDO, BMAT, N, WHICH, NEV, TOL, RESID: same as defined in ssaupd. */
/*  MODE, ISHIFT, MXITER: see the definition of IPARAM in ssaupd. */

/*  NP      Integer.  (INPUT/OUTPUT) */
/*          Contains the number of implicit shifts to apply during */
/*          each Arnoldi/Lanczos iteration. */
/*          If ISHIFT=1, NP is adjusted dynamically at each iteration */
/*          to accelerate convergence and prevent stagnation. */
/*          This is also roughly equal to the number of matrix-vector */
/*          products (involving the operator OP) per Arnoldi iteration. */
/*          The logic for adjusting is contained within the current */
/*          subroutine. */
/*          If ISHIFT=0, NP is the number of shifts the user needs */
/*          to provide via reverse comunication. 0 < NP < NCV-NEV. */
/*          NP may be less than NCV-NEV since a leading block of the current */
/*          upper Tridiagonal matrix has split off and contains "unwanted" */
/*          Ritz values. */
/*          Upon termination of the IRA iteration, NP contains the number */
/*          of "converged" wanted Ritz values. */

/*  IUPD    Integer.  (INPUT) */
/*          IUPD .EQ. 0: use explicit restart instead implicit update. */
/*          IUPD .NE. 0: use implicit update. */

/*  V       Real N by (NEV+NP) array.  (INPUT/OUTPUT) */
/*          The Lanczos basis vectors. */

/*  LDV     Integer.  (INPUT) */
/*          Leading dimension of V exactly as declared in the calling */
/*          program. */

/*  H       Real (NEV+NP) by 2 array.  (OUTPUT) */
/*          H is used to store the generated symmetric tridiagonal matrix */
/*          The subdiagonal is stored in the first column of H starting */
/*          at H(2,1).  The main diagonal is stored in the second column */
/*          of H starting at H(1,2). If ssaup2 converges store the */
/*          B-norm of the final residual vector in H(1,1). */

/*  LDH     Integer.  (INPUT) */
/*          Leading dimension of H exactly as declared in the calling */
/*          program. */

/*  RITZ    Real array of length NEV+NP.  (OUTPUT) */
/*          RITZ(1:NEV) contains the computed Ritz values of OP. */

/*  BOUNDS  Real array of length NEV+NP.  (OUTPUT) */
/*          BOUNDS(1:NEV) contain the error bounds corresponding to RITZ. */

/*  Q       Real (NEV+NP) by (NEV+NP) array.  (WORKSPACE) */
/*          Private (replicated) work array used to accumulate the */
/*          rotation in the shift application step. */

/*  LDQ     Integer.  (INPUT) */
/*          Leading dimension of Q exactly as declared in the calling */
/*          program. */

/*  WORKL   Real array of length at least 3*(NEV+NP).  (INPUT/WORKSPACE) */
/*          Private (replicated) array on each PE or array allocated on */
/*          the front end.  It is used in the computation of the */
/*          tridiagonal eigenvalue problem, the calculation and */
/*          application of the shifts and convergence checking. */
/*          If ISHIFT .EQ. O and IDO .EQ. 3, the first NP locations */
/*          of WORKL are used in reverse communication to hold the user */
/*          supplied shifts. */

/*  IPNTR   Integer array of length 3.  (OUTPUT) */
/*          Pointer to mark the starting locations in the WORKD for */
/*          vectors used by the Lanczos iteration. */
/*          ------------------------------------------------------------- */
/*          IPNTR(1): pointer to the current operand vector X. */
/*          IPNTR(2): pointer to the current result vector Y. */
/*          IPNTR(3): pointer to the vector B * X when used in one of */
/*                    the spectral transformation modes.  X is the current */
/*                    operand. */
/*          ------------------------------------------------------------- */

/*  WORKD   Real work array of length 3*N.  (REVERSE COMMUNICATION) */
/*          Distributed array to be used in the basic Lanczos iteration */
/*          for reverse communication.  The user should not use WORKD */
/*          as temporary workspace during the iteration !!!!!!!!!! */
/*          See Data Distribution Note in ssaupd. */

/*  INFO    Integer.  (INPUT/OUTPUT) */
/*          If INFO .EQ. 0, a randomly initial residual vector is used. */
/*          If INFO .NE. 0, RESID contains the initial residual vector, */
/*                          possibly from a previous run. */
/*          Error flag on output. */
/*          =     0: Normal return. */
/*          =     1: All possible eigenvalues of OP has been found. */
/*                   NP returns the size of the invariant subspace */
/*                   spanning the operator OP. */
/*          =     2: No shifts could be applied. */
/*          =    -8: Error return from trid. eigenvalue calculation; */
/*                   This should never happen. */
/*          =    -9: Starting vector is zero. */
/*          = -9999: Could not build an Lanczos factorization. */
/*                   Size that was built in returned in NP. */

/* \EndDoc */

/* ----------------------------------------------------------------------- */

/* \BeginLib */

/* \References: */
/*  1. D.C. Sorensen, "Implicit Application of Polynomial Filters in */
/*     a k-Step Arnoldi Method", SIAM J. Matr. Anal. Apps., 13 (1992), */
/*     pp 357-385. */
/*  2. R.B. Lehoucq, "Analysis and Implementation of an Implicitly */
/*     Restarted Arnoldi Iteration", Rice University Technical Report */
/*     TR95-13, Department of Computational and Applied Mathematics. */
/*  3. B.N. Parlett, "The Symmetric Eigenvalue Problem". Prentice-Hall, */
/*     1980. */
/*  4. B.N. Parlett, B. Nour-Omid, "Towards a Black Box Lanczos Program", */
/*     Computer Physics Communications, 53 (1989), pp 169-179. */
/*  5. B. Nour-Omid, B.N. Parlett, T. Ericson, P.S. Jensen, "How to */
/*     Implement the Spectral Transformation", Math. Comp., 48 (1987), */
/*     pp 663-673. */
/*  6. R.G. Grimes, J.G. Lewis and H.D. Simon, "A Shifted Block Lanczos */
/*     Algorithm for Solving Sparse Symmetric Generalized Eigenproblems", */
/*     SIAM J. Matr. Anal. Apps.,  January (1993). */
/*  7. L. Reichel, W.B. Gragg, "Algorithm 686: FORTRAN Subroutines */
/*     for Updating the QR decomposition", ACM TOMS, December 1990, */
/*     Volume 16 Number 4, pp 369-377. */

/* \Routines called: */
/*     sgetv0  ARPACK initial vector generation routine. */
/*     ssaitr  ARPACK Lanczos factorization routine. */
/*     ssapps  ARPACK application of implicit shifts routine. */
/*     ssconv  ARPACK convergence of Ritz values routine. */
/*     sseigt  ARPACK compute Ritz values and error bounds routine. */
/*     ssgets  ARPACK reorder Ritz values and error bounds routine. */
/*     ssortr  ARPACK sorting routine. */
/*     ivout   ARPACK utility routine that prints integers. */
/*     second  ARPACK utility routine for timing. */
/*     svout   ARPACK utility routine that prints vectors. */
/*     slamch  LAPACK routine that determines machine constants. */
/*     scopy   Level 1 BLAS that copies one vector to another. */
/*     sdot    Level 1 BLAS that computes the scalar product of two vectors. */
/*     snrm2   Level 1 BLAS that computes the norm of a vector. */
/*     sscal   Level 1 BLAS that scales a vector. */
/*     sswap   Level 1 BLAS that swaps two vectors. */

/* \Author */
/*     Danny Sorensen               Phuong Vu */
/*     Richard Lehoucq              CRPC / Rice University */
/*     Dept. of Computational &     Houston, Texas */
/*     Applied Mathematics */
/*     Rice University */
/*     Houston, Texas */

/* \Revision history: */
/*     12/15/93: Version ' 2.4' */
/*     xx/xx/95: Version ' 2.4'.  (R.B. Lehoucq) */

/* \SCCS Information: @(#) */
/* FILE: saup2.F   SID: 2.7   DATE OF SID: 5/19/98   RELEASE: 2 */

/* \EndLib */

/* ----------------------------------------------------------------------- */

/* Subroutine */ int ssaup2_(integer *ido, char *bmat, integer *n, char *
	which, integer *nev, integer *np, real *tol, real *resid, integer *
	mode, integer *iupd, integer *ishift, integer *mxiter, real *v, 
	integer *ldv, real *h__, integer *ldh, real *ritz, real *bounds, real 
	*q, integer *ldq, real *workl, integer *ipntr, real *workd, integer *
	info, ftnlen bmat_len, ftnlen which_len)
{
    /* System generated locals */
    integer h_dim1, h_offset, q_dim1, q_offset, v_dim1, v_offset, i__1, i__2, 
	    i__3;
    real r__1, r__2, r__3;
    doublereal d__1;

    /* Builtin functions */
    double pow_dd(doublereal *, doublereal *);
    integer s_cmp(char *, char *, ftnlen, ftnlen);
    /* Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen);
    double sqrt(doublereal);

    /* Local variables */
    static integer j;
    static real t0, t1, t2, t3;
    static integer kp[3], np0, nev0;
    static real eps23;
    static integer ierr, iter;
    static real temp;
    extern doublereal sdot_(integer *, real *, integer *, real *, integer *);
    static integer nevd2;
    static logical getv0;
    static integer nevm2;
    extern doublereal snrm2_(integer *, real *, integer *);
    static logical cnorm;
    static integer nconv;
    static logical initv;
    static real rnorm;
    extern /* Subroutine */ int scopy_(integer *, real *, integer *, real *, 
	    integer *), sswap_(integer *, real *, integer *, real *, integer *
	    ), ivout_(integer *, integer *, integer *, integer *, char *, 
	    ftnlen), svout_(integer *, integer *, real *, integer *, char *, 
	    ftnlen), sgetv0_(integer *, char *, integer *, logical *, integer 
	    *, integer *, real *, integer *, real *, real *, integer *, real *
	    , integer *, ftnlen);
    static integer nevbef;
    extern doublereal slamch_(char *, ftnlen);
    extern /* Subroutine */ int second_(real *);
    static logical update;
    static char wprime[2];
    static logical ushift;
    static integer kplusp, msglvl, nptemp;
    extern /* Subroutine */ int ssaitr_(integer *, char *, integer *, integer 
	    *, integer *, integer *, real *, real *, real *, integer *, real *
	    , integer *, integer *, real *, integer *, ftnlen), ssconv_(
	    integer *, real *, real *, real *, integer *), sseigt_(real *, 
	    integer *, real *, integer *, real *, real *, real *, integer *), 
	    ssgets_(integer *, char *, integer *, integer *, real *, real *, 
	    real *, ftnlen), ssapps_(integer *, integer *, integer *, real *, 
	    real *, integer *, real *, integer *, real *, real *, integer *, 
	    real *), ssortr_(char *, logical *, integer *, real *, real *, 
	    ftnlen);


/*     %----------------------------------------------------% */
/*     | Include files for debugging and timing information | */
/*     %----------------------------------------------------% */


/* \SCCS Information: @(#) */
/* FILE: debug.h   SID: 2.3   DATE OF SID: 11/16/95   RELEASE: 2 */

/*     %---------------------------------% */
/*     | See debug.doc for documentation | */
/*     %---------------------------------% */

/*     %------------------% */
/*     | Scalar Arguments | */
/*     %------------------% */

/*     %--------------------------------% */
/*     | See stat.doc for documentation | */
/*     %--------------------------------% */

/* \SCCS Information: @(#) */
/* FILE: stat.h   SID: 2.2   DATE OF SID: 11/16/95   RELEASE: 2 */



/*     %-----------------% */
/*     | Array Arguments | */
/*     %-----------------% */


/*     %------------% */
/*     | Parameters | */
/*     %------------% */


/*     %---------------% */
/*     | Local Scalars | */
/*     %---------------% */


/*     %----------------------% */
/*     | External Subroutines | */
/*     %----------------------% */


/*     %--------------------% */
/*     | External Functions | */
/*     %--------------------% */


/*     %---------------------% */
/*     | Intrinsic Functions | */
/*     %---------------------% */


/*     %-----------------------% */
/*     | Executable Statements | */
/*     %-----------------------% */

    /* Parameter adjustments */
    --workd;
    --resid;
    --workl;
    --bounds;
    --ritz;
    v_dim1 = *ldv;
    v_offset = 1 + v_dim1;
    v -= v_offset;
    h_dim1 = *ldh;
    h_offset = 1 + h_dim1;
    h__ -= h_offset;
    q_dim1 = *ldq;
    q_offset = 1 + q_dim1;
    q -= q_offset;
    --ipntr;

    /* Function Body */
    if (*ido == 0) {

/*        %-------------------------------% */
/*        | Initialize timing statistics  | */
/*        | & message level for debugging | */
/*        %-------------------------------% */

	second_(&t0);
	msglvl = debug_1.msaup2;

/*        %---------------------------------% */
/*        | Set machine dependent constant. | */
/*        %---------------------------------% */

	eps23 = slamch_("Epsilon-Machine", (ftnlen)15);
	d__1 = (doublereal) eps23;
	eps23 = pow_dd(&d__1, &c_b3);

/*        %-------------------------------------% */
/*        | nev0 and np0 are integer variables  | */
/*        | hold the initial values of NEV & NP | */
/*        %-------------------------------------% */

	nev0 = *nev;
	np0 = *np;

/*        %-------------------------------------% */
/*        | kplusp is the bound on the largest  | */
/*        |        Lanczos factorization built. | */
/*        | nconv is the current number of      | */
/*        |        "converged" eigenvlues.      | */
/*        | iter is the counter on the current  | */
/*        |      iteration step.                | */
/*        %-------------------------------------% */

	kplusp = nev0 + np0;
	nconv = 0;
	iter = 0;

/*        %--------------------------------------------% */
/*        | Set flags for computing the first NEV steps | */
/*        | of the Lanczos factorization.              | */
/*        %--------------------------------------------% */

	getv0 = TRUE_;
	update = FALSE_;
	ushift = FALSE_;
	cnorm = FALSE_;

	if (*info != 0) {

/*        %--------------------------------------------% */
/*        | User provides the initial residual vector. | */
/*        %--------------------------------------------% */

	    initv = TRUE_;
	    *info = 0;
	} else {
	    initv = FALSE_;
	}
    }

/*     %---------------------------------------------% */
/*     | Get a possibly random starting vector and   | */
/*     | force it into the range of the operator OP. | */
/*     %---------------------------------------------% */

/* L10: */

    if (getv0) {
	sgetv0_(ido, bmat, &c__1, &initv, n, &c__1, &v[v_offset], ldv, &resid[
		1], &rnorm, &ipntr[1], &workd[1], info, (ftnlen)1);

	if (*ido != 99) {
	    goto L9000;
	}

	if (rnorm == 0.f) {

/*           %-----------------------------------------% */
/*           | The initial vector is zero. Error exit. | */
/*           %-----------------------------------------% */

	    *info = -9;
	    goto L1200;
	}
	getv0 = FALSE_;
	*ido = 0;
    }

/*     %------------------------------------------------------------% */
/*     | Back from reverse communication: continue with update step | */
/*     %------------------------------------------------------------% */

    if (update) {
	goto L20;
    }

/*     %-------------------------------------------% */
/*     | Back from computing user specified shifts | */
/*     %-------------------------------------------% */

    if (ushift) {
	goto L50;
    }

/*     %-------------------------------------% */
/*     | Back from computing residual norm   | */
/*     | at the end of the current iteration | */
/*     %-------------------------------------% */

    if (cnorm) {
	goto L100;
    }

/*     %----------------------------------------------------------% */
/*     | Compute the first NEV steps of the Lanczos factorization | */
/*     %----------------------------------------------------------% */

    ssaitr_(ido, bmat, n, &c__0, &nev0, mode, &resid[1], &rnorm, &v[v_offset],
	     ldv, &h__[h_offset], ldh, &ipntr[1], &workd[1], info, (ftnlen)1);

/*     %---------------------------------------------------% */
/*     | ido .ne. 99 implies use of reverse communication  | */
/*     | to compute operations involving OP and possibly B | */
/*     %---------------------------------------------------% */

    if (*ido != 99) {
	goto L9000;
    }

    if (*info > 0) {

/*        %-----------------------------------------------------% */
/*        | ssaitr was unable to build an Lanczos factorization | */
/*        | of length NEV0. INFO is returned with the size of   | */
/*        | the factorization built. Exit main loop.            | */
/*        %-----------------------------------------------------% */

	*np = *info;
	*mxiter = iter;
	*info = -9999;
	goto L1200;
    }

/*     %--------------------------------------------------------------% */
/*     |                                                              | */
/*     |           M A I N  LANCZOS  I T E R A T I O N  L O O P       | */
/*     |           Each iteration implicitly restarts the Lanczos     | */
/*     |           factorization in place.                            | */
/*     |                                                              | */
/*     %--------------------------------------------------------------% */

L1000:

    ++iter;

    if (msglvl > 0) {
	ivout_(&debug_1.logfil, &c__1, &iter, &debug_1.ndigit, "_saup2: ****"
		" Start of major iteration number ****", (ftnlen)49);
    }
    if (msglvl > 1) {
	ivout_(&debug_1.logfil, &c__1, nev, &debug_1.ndigit, "_saup2: The le"
		"ngth of the current Lanczos factorization", (ftnlen)55);
	ivout_(&debug_1.logfil, &c__1, np, &debug_1.ndigit, "_saup2: Extend "
		"the Lanczos factorization by", (ftnlen)43);
    }

/*        %------------------------------------------------------------% */
/*        | Compute NP additional steps of the Lanczos factorization. | */
/*        %------------------------------------------------------------% */

    *ido = 0;
L20:
    update = TRUE_;

    ssaitr_(ido, bmat, n, nev, np, mode, &resid[1], &rnorm, &v[v_offset], ldv,
	     &h__[h_offset], ldh, &ipntr[1], &workd[1], info, (ftnlen)1);

/*        %---------------------------------------------------% */
/*        | ido .ne. 99 implies use of reverse communication  | */
/*        | to compute operations involving OP and possibly B | */
/*        %---------------------------------------------------% */

    if (*ido != 99) {
	goto L9000;
    }

    if (*info > 0) {

/*           %-----------------------------------------------------% */
/*           | ssaitr was unable to build an Lanczos factorization | */
/*           | of length NEV0+NP0. INFO is returned with the size  | */
/*           | of the factorization built. Exit main loop.         | */
/*           %-----------------------------------------------------% */

	*np = *info;
	*mxiter = iter;
	*info = -9999;
	goto L1200;
    }
    update = FALSE_;

    if (msglvl > 1) {
	svout_(&debug_1.logfil, &c__1, &rnorm, &debug_1.ndigit, "_saup2: Cur"
		"rent B-norm of residual for factorization", (ftnlen)52);
    }

/*        %--------------------------------------------------------% */
/*        | Compute the eigenvalues and corresponding error bounds | */
/*        | of the current symmetric tridiagonal matrix.           | */
/*        %--------------------------------------------------------% */

    sseigt_(&rnorm, &kplusp, &h__[h_offset], ldh, &ritz[1], &bounds[1], &
	    workl[1], &ierr);

    if (ierr != 0) {
	*info = -8;
	goto L1200;
    }

/*        %----------------------------------------------------% */
/*        | Make a copy of eigenvalues and corresponding error | */
/*        | bounds obtained from _seigt.                       | */
/*        %----------------------------------------------------% */

    scopy_(&kplusp, &ritz[1], &c__1, &workl[kplusp + 1], &c__1);
    scopy_(&kplusp, &bounds[1], &c__1, &workl[(kplusp << 1) + 1], &c__1);

/*        %---------------------------------------------------% */
/*        | Select the wanted Ritz values and their bounds    | */
/*        | to be used in the convergence test.               | */
/*        | The selection is based on the requested number of | */
/*        | eigenvalues instead of the current NEV and NP to  | */
/*        | prevent possible misconvergence.                  | */
/*        | * Wanted Ritz values := RITZ(NP+1:NEV+NP)         | */
/*        | * Shifts := RITZ(1:NP) := WORKL(1:NP)             | */
/*        %---------------------------------------------------% */

    *nev = nev0;
    *np = np0;
    ssgets_(ishift, which, nev, np, &ritz[1], &bounds[1], &workl[1], (ftnlen)
	    2);

/*        %-------------------% */
/*        | Convergence test. | */
/*        %-------------------% */

    scopy_(nev, &bounds[*np + 1], &c__1, &workl[*np + 1], &c__1);
    ssconv_(nev, &ritz[*np + 1], &workl[*np + 1], tol, &nconv);

    if (msglvl > 2) {
	kp[0] = *nev;
	kp[1] = *np;
	kp[2] = nconv;
	ivout_(&debug_1.logfil, &c__3, kp, &debug_1.ndigit, "_saup2: NEV, NP"
		", NCONV are", (ftnlen)26);
	svout_(&debug_1.logfil, &kplusp, &ritz[1], &debug_1.ndigit, "_saup2:"
		" The eigenvalues of H", (ftnlen)28);
	svout_(&debug_1.logfil, &kplusp, &bounds[1], &debug_1.ndigit, "_saup"
		"2: Ritz estimates of the current NCV Ritz values", (ftnlen)53)
		;
    }

/*        %---------------------------------------------------------% */
/*        | Count the number of unwanted Ritz values that have zero | */
/*        | Ritz estimates. If any Ritz estimates are equal to zero | */
/*        | then a leading block of H of order equal to at least    | */
/*        | the number of Ritz values with zero Ritz estimates has  | */
/*        | split off. None of these Ritz values may be removed by  | */
/*        | shifting. Decrease NP the number of shifts to apply. If | */
/*        | no shifts may be applied, then prepare to exit          | */
/*        %---------------------------------------------------------% */

    nptemp = *np;
    i__1 = nptemp;
    for (j = 1; j <= i__1; ++j) {
	if (bounds[j] == 0.f) {
	    --(*np);
	    ++(*nev);
	}
/* L30: */
    }

    if (nconv >= nev0 || iter > *mxiter || *np == 0) {

/*           %------------------------------------------------% */
/*           | Prepare to exit. Put the converged Ritz values | */
/*           | and corresponding bounds in RITZ(1:NCONV) and  | */
/*           | BOUNDS(1:NCONV) respectively. Then sort. Be    | */
/*           | careful when NCONV > NP since we don't want to | */
/*           | swap overlapping locations.                    | */
/*           %------------------------------------------------% */

	if (s_cmp(which, "BE", (ftnlen)2, (ftnlen)2) == 0) {

/*              %-----------------------------------------------------% */
/*              | Both ends of the spectrum are requested.            | */
/*              | Sort the eigenvalues into algebraically decreasing  | */
/*              | order first then swap low end of the spectrum next  | */
/*              | to high end in appropriate locations.               | */
/*              | NOTE: when np < floor(nev/2) be careful not to swap | */
/*              | overlapping locations.                              | */
/*              %-----------------------------------------------------% */

	    s_copy(wprime, "SA", (ftnlen)2, (ftnlen)2);
	    ssortr_(wprime, &c_true, &kplusp, &ritz[1], &bounds[1], (ftnlen)2)
		    ;
	    nevd2 = nev0 / 2;
	    nevm2 = nev0 - nevd2;
	    if (*nev > 1) {
		i__1 = min(nevd2,*np);
/* Computing MAX */
		i__2 = kplusp - nevd2 + 1, i__3 = kplusp - *np + 1;
		sswap_(&i__1, &ritz[nevm2 + 1], &c__1, &ritz[max(i__2,i__3)], 
			&c__1);
		i__1 = min(nevd2,*np);
/* Computing MAX */
		i__2 = kplusp - nevd2 + 1, i__3 = kplusp - *np + 1;
		sswap_(&i__1, &bounds[nevm2 + 1], &c__1, &bounds[max(i__2,
			i__3)], &c__1);
	    }

	} else {

/*              %--------------------------------------------------% */
/*              | LM, SM, LA, SA case.                             | */
/*              | Sort the eigenvalues of H into the an order that | */
/*              | is opposite to WHICH, and apply the resulting    | */
/*              | order to BOUNDS.  The eigenvalues are sorted so  | */
/*              | that the wanted part are always within the first | */
/*              | NEV locations.                                   | */
/*              %--------------------------------------------------% */

	    if (s_cmp(which, "LM", (ftnlen)2, (ftnlen)2) == 0) {
		s_copy(wprime, "SM", (ftnlen)2, (ftnlen)2);
	    }
	    if (s_cmp(which, "SM", (ftnlen)2, (ftnlen)2) == 0) {
		s_copy(wprime, "LM", (ftnlen)2, (ftnlen)2);
	    }
	    if (s_cmp(which, "LA", (ftnlen)2, (ftnlen)2) == 0) {
		s_copy(wprime, "SA", (ftnlen)2, (ftnlen)2);
	    }
	    if (s_cmp(which, "SA", (ftnlen)2, (ftnlen)2) == 0) {
		s_copy(wprime, "LA", (ftnlen)2, (ftnlen)2);
	    }

	    ssortr_(wprime, &c_true, &kplusp, &ritz[1], &bounds[1], (ftnlen)2)
		    ;

	}

/*           %--------------------------------------------------% */
/*           | Scale the Ritz estimate of each Ritz value       | */
/*           | by 1 / max(eps23,magnitude of the Ritz value).   | */
/*           %--------------------------------------------------% */

	i__1 = nev0;
	for (j = 1; j <= i__1; ++j) {
/* Computing MAX */
	    r__2 = eps23, r__3 = (r__1 = ritz[j], dabs(r__1));
	    temp = dmax(r__2,r__3);
	    bounds[j] /= temp;
/* L35: */
	}

/*           %----------------------------------------------------% */
/*           | Sort the Ritz values according to the scaled Ritz  | */
/*           | esitmates.  This will push all the converged ones  | */
/*           | towards the front of ritzr, ritzi, bounds          | */
/*           | (in the case when NCONV < NEV.)                    | */
/*           %----------------------------------------------------% */

	s_copy(wprime, "LA", (ftnlen)2, (ftnlen)2);
	ssortr_(wprime, &c_true, &nev0, &bounds[1], &ritz[1], (ftnlen)2);

/*           %----------------------------------------------% */
/*           | Scale the Ritz estimate back to its original | */
/*           | value.                                       | */
/*           %----------------------------------------------% */

	i__1 = nev0;
	for (j = 1; j <= i__1; ++j) {
/* Computing MAX */
	    r__2 = eps23, r__3 = (r__1 = ritz[j], dabs(r__1));
	    temp = dmax(r__2,r__3);
	    bounds[j] *= temp;
/* L40: */
	}

/*           %--------------------------------------------------% */
/*           | Sort the "converged" Ritz values again so that   | */
/*           | the "threshold" values and their associated Ritz | */
/*           | estimates appear at the appropriate position in  | */
/*           | ritz and bound.                                  | */
/*           %--------------------------------------------------% */

	if (s_cmp(which, "BE", (ftnlen)2, (ftnlen)2) == 0) {

/*              %------------------------------------------------% */
/*              | Sort the "converged" Ritz values in increasing | */
/*              | order.  The "threshold" values are in the      | */
/*              | middle.                                        | */
/*              %------------------------------------------------% */

	    s_copy(wprime, "LA", (ftnlen)2, (ftnlen)2);
	    ssortr_(wprime, &c_true, &nconv, &ritz[1], &bounds[1], (ftnlen)2);

	} else {

/*              %----------------------------------------------% */
/*              | In LM, SM, LA, SA case, sort the "converged" | */
/*              | Ritz values according to WHICH so that the   | */
/*              | "threshold" value appears at the front of    | */
/*              | ritz.                                        | */
/*              %----------------------------------------------% */
	    ssortr_(which, &c_true, &nconv, &ritz[1], &bounds[1], (ftnlen)2);

	}

/*           %------------------------------------------% */
/*           |  Use h( 1,1 ) as storage to communicate  | */
/*           |  rnorm to _seupd if needed               | */
/*           %------------------------------------------% */

	h__[h_dim1 + 1] = rnorm;

	if (msglvl > 1) {
	    svout_(&debug_1.logfil, &kplusp, &ritz[1], &debug_1.ndigit, "_sa"
		    "up2: Sorted Ritz values.", (ftnlen)27);
	    svout_(&debug_1.logfil, &kplusp, &bounds[1], &debug_1.ndigit, 
		    "_saup2: Sorted ritz estimates.", (ftnlen)30);
	}

/*           %------------------------------------% */
/*           | Max iterations have been exceeded. | */
/*           %------------------------------------% */

	if (iter > *mxiter && nconv < *nev) {
	    *info = 1;
	}

/*           %---------------------% */
/*           | No shifts to apply. | */
/*           %---------------------% */

	if (*np == 0 && nconv < nev0) {
	    *info = 2;
	}

	*np = nconv;
	goto L1100;

    } else if (nconv < *nev && *ishift == 1) {

/*           %---------------------------------------------------% */
/*           | Do not have all the requested eigenvalues yet.    | */
/*           | To prevent possible stagnation, adjust the number | */
/*           | of Ritz values and the shifts.                    | */
/*           %---------------------------------------------------% */

	nevbef = *nev;
/* Computing MIN */
	i__1 = nconv, i__2 = *np / 2;
	*nev += min(i__1,i__2);
	if (*nev == 1 && kplusp >= 6) {
	    *nev = kplusp / 2;
	} else if (*nev == 1 && kplusp > 2) {
	    *nev = 2;
	}
	*np = kplusp - *nev;

/*           %---------------------------------------% */
/*           | If the size of NEV was just increased | */
/*           | resort the eigenvalues.               | */
/*           %---------------------------------------% */

	if (nevbef < *nev) {
	    ssgets_(ishift, which, nev, np, &ritz[1], &bounds[1], &workl[1], (
		    ftnlen)2);
	}

    }

    if (msglvl > 0) {
	ivout_(&debug_1.logfil, &c__1, &nconv, &debug_1.ndigit, "_saup2: no."
		" of \"converged\" Ritz values at this iter.", (ftnlen)52);
	if (msglvl > 1) {
	    kp[0] = *nev;
	    kp[1] = *np;
	    ivout_(&debug_1.logfil, &c__2, kp, &debug_1.ndigit, "_saup2: NEV"
		    " and NP are", (ftnlen)22);
	    svout_(&debug_1.logfil, nev, &ritz[*np + 1], &debug_1.ndigit, 
		    "_saup2: \"wanted\" Ritz values.", (ftnlen)29);
	    svout_(&debug_1.logfil, nev, &bounds[*np + 1], &debug_1.ndigit, 
		    "_saup2: Ritz estimates of the \"wanted\" values ", (
		    ftnlen)46);
	}
    }

    if (*ishift == 0) {

/*           %-----------------------------------------------------% */
/*           | User specified shifts: reverse communication to     | */
/*           | compute the shifts. They are returned in the first  | */
/*           | NP locations of WORKL.                              | */
/*           %-----------------------------------------------------% */

	ushift = TRUE_;
	*ido = 3;
	goto L9000;
    }

L50:

/*        %------------------------------------% */
/*        | Back from reverse communication;   | */
/*        | User specified shifts are returned | */
/*        | in WORKL(1:*NP)                   | */
/*        %------------------------------------% */

    ushift = FALSE_;


/*        %---------------------------------------------------------% */
/*        | Move the NP shifts to the first NP locations of RITZ to | */
/*        | free up WORKL.  This is for the non-exact shift case;   | */
/*        | in the exact shift case, ssgets already handles this.   | */
/*        %---------------------------------------------------------% */

    if (*ishift == 0) {
	scopy_(np, &workl[1], &c__1, &ritz[1], &c__1);
    }

    if (msglvl > 2) {
	ivout_(&debug_1.logfil, &c__1, np, &debug_1.ndigit, "_saup2: The num"
		"ber of shifts to apply ", (ftnlen)38);
	svout_(&debug_1.logfil, np, &workl[1], &debug_1.ndigit, "_saup2: shi"
		"fts selected", (ftnlen)23);
	if (*ishift == 1) {
	    svout_(&debug_1.logfil, np, &bounds[1], &debug_1.ndigit, "_saup2"
		    ": corresponding Ritz estimates", (ftnlen)36);
	}
    }

/*        %---------------------------------------------------------% */
/*        | Apply the NP0 implicit shifts by QR bulge chasing.      | */
/*        | Each shift is applied to the entire tridiagonal matrix. | */
/*        | The first 2*N locations of WORKD are used as workspace. | */
/*        | After ssapps is done, we have a Lanczos                 | */
/*        | factorization of length NEV.                            | */
/*        %---------------------------------------------------------% */

    ssapps_(n, nev, np, &ritz[1], &v[v_offset], ldv, &h__[h_offset], ldh, &
	    resid[1], &q[q_offset], ldq, &workd[1]);

/*        %---------------------------------------------% */
/*        | Compute the B-norm of the updated residual. | */
/*        | Keep B*RESID in WORKD(1:N) to be used in    | */
/*        | the first step of the next call to ssaitr.  | */
/*        %---------------------------------------------% */

    cnorm = TRUE_;
    second_(&t2);
    if (*(unsigned char *)bmat == 'G') {
	++timing_1.nbx;
	scopy_(n, &resid[1], &c__1, &workd[*n + 1], &c__1);
	ipntr[1] = *n + 1;
	ipntr[2] = 1;
	*ido = 2;

/*           %----------------------------------% */
/*           | Exit in order to compute B*RESID | */
/*           %----------------------------------% */

	goto L9000;
    } else if (*(unsigned char *)bmat == 'I') {
	scopy_(n, &resid[1], &c__1, &workd[1], &c__1);
    }

L100:

/*        %----------------------------------% */
/*        | Back from reverse communication; | */
/*        | WORKD(1:N) := B*RESID            | */
/*        %----------------------------------% */

    if (*(unsigned char *)bmat == 'G') {
	second_(&t3);
	timing_1.tmvbx += t3 - t2;
    }

    if (*(unsigned char *)bmat == 'G') {
	rnorm = sdot_(n, &resid[1], &c__1, &workd[1], &c__1);
	rnorm = sqrt((dabs(rnorm)));
    } else if (*(unsigned char *)bmat == 'I') {
	rnorm = snrm2_(n, &resid[1], &c__1);
    }
    cnorm = FALSE_;
/* L130: */

    if (msglvl > 2) {
	svout_(&debug_1.logfil, &c__1, &rnorm, &debug_1.ndigit, "_saup2: B-n"
		"orm of residual for NEV factorization", (ftnlen)48);
	svout_(&debug_1.logfil, nev, &h__[(h_dim1 << 1) + 1], &debug_1.ndigit,
		 "_saup2: main diagonal of compressed H matrix", (ftnlen)44);
	i__1 = *nev - 1;
	svout_(&debug_1.logfil, &i__1, &h__[h_dim1 + 2], &debug_1.ndigit, 
		"_saup2: subdiagonal of compressed H matrix", (ftnlen)42);
    }

    goto L1000;

/*     %---------------------------------------------------------------% */
/*     |                                                               | */
/*     |  E N D     O F     M A I N     I T E R A T I O N     L O O P  | */
/*     |                                                               | */
/*     %---------------------------------------------------------------% */

L1100:

    *mxiter = iter;
    *nev = nconv;

L1200:
    *ido = 99;

/*     %------------% */
/*     | Error exit | */
/*     %------------% */

    second_(&t1);
    timing_1.tsaup2 = t1 - t0;

L9000:
    return 0;

/*     %---------------% */
/*     | End of ssaup2 | */
/*     %---------------% */

} /* ssaup2_ */

