#include "blaswrap.h"
#include "f2c.h"

/* Subroutine */ int cheev_(char *jobz, char *uplo, integer *n, complex *a, 
	integer *lda, real *w, complex *work, integer *lwork, real *rwork, 
	integer *info)
{
/*  -- LAPACK driver routine (version 3.1) --   
       Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd..   
       November 2006   


    Purpose   
    =======   

    CHEEV computes all eigenvalues and, optionally, eigenvectors of a   
    complex Hermitian matrix A.   

    Arguments   
    =========   

    JOBZ    (input) CHARACTER*1   
            = 'N':  Compute eigenvalues only;   
            = 'V':  Compute eigenvalues and eigenvectors.   

    UPLO    (input) CHARACTER*1   
            = 'U':  Upper triangle of A is stored;   
            = 'L':  Lower triangle of A is stored.   

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

    A       (input/output) COMPLEX array, dimension (LDA, N)   
            On entry, the Hermitian matrix A.  If UPLO = 'U', the   
            leading N-by-N upper triangular part of A contains the   
            upper triangular part of the matrix A.  If UPLO = 'L',   
            the leading N-by-N lower triangular part of A contains   
            the lower triangular part of the matrix A.   
            On exit, if JOBZ = 'V', then if INFO = 0, A contains the   
            orthonormal eigenvectors of the matrix A.   
            If JOBZ = 'N', then on exit the lower triangle (if UPLO='L')   
            or the upper triangle (if UPLO='U') of A, including the   
            diagonal, is destroyed.   

    LDA     (input) INTEGER   
            The leading dimension of the array A.  LDA >= max(1,N).   

    W       (output) REAL array, dimension (N)   
            If INFO = 0, the eigenvalues in ascending order.   

    WORK    (workspace/output) COMPLEX array, dimension (MAX(1,LWORK))   
            On exit, if INFO = 0, WORK(1) returns the optimal LWORK.   

    LWORK   (input) INTEGER   
            The length of the array WORK.  LWORK >= max(1,2*N-1).   
            For optimal efficiency, LWORK >= (NB+1)*N,   
            where NB is the blocksize for CHETRD returned by ILAENV.   

            If LWORK = -1, then a workspace query is assumed; the routine   
            only calculates the optimal size of the WORK array, returns   
            this value as the first entry of the WORK array, and no error   
            message related to LWORK is issued by XERBLA.   

    RWORK   (workspace) REAL array, dimension (max(1, 3*N-2))   

    INFO    (output) INTEGER   
            = 0:  successful exit   
            < 0:  if INFO = -i, the i-th argument had an illegal value   
            > 0:  if INFO = i, the algorithm failed to converge; i   
                  off-diagonal elements of an intermediate tridiagonal   
                  form did not converge to zero.   

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


       Test the input parameters.   

       Parameter adjustments */
    /* Table of constant values */
    static integer c__1 = 1;
    static integer c_n1 = -1;
    static integer c__0 = 0;
    static real c_b18 = 1.f;
    
    /* System generated locals */
    integer a_dim1, a_offset, i__1, i__2;
    real r__1;
    /* Builtin functions */
    double sqrt(doublereal);
    /* Local variables */
    static integer nb;
    static real eps;
    static integer inde;
    static real anrm;
    static integer imax;
    static real rmin, rmax, sigma;
    extern logical lsame_(char *, char *);
    static integer iinfo;
    extern /* Subroutine */ int sscal_(integer *, real *, real *, integer *);
    static logical lower, wantz;
    extern doublereal clanhe_(char *, char *, integer *, complex *, integer *,
	     real *);
    static integer iscale;
    extern /* Subroutine */ int clascl_(char *, integer *, integer *, real *, 
	    real *, integer *, integer *, complex *, integer *, integer *);
    extern doublereal slamch_(char *);
    extern /* Subroutine */ int chetrd_(char *, integer *, complex *, integer 
	    *, real *, real *, complex *, complex *, integer *, integer *);
    static real safmin;
    extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 
	    integer *, integer *, ftnlen, ftnlen);
    extern /* Subroutine */ int xerbla_(char *, integer *);
    static real bignum;
    static integer indtau, indwrk;
    extern /* Subroutine */ int csteqr_(char *, integer *, real *, real *, 
	    complex *, integer *, real *, integer *), cungtr_(char *, 
	    integer *, complex *, integer *, complex *, complex *, integer *, 
	    integer *), ssterf_(integer *, real *, real *, integer *);
    static integer llwork;
    static real smlnum;
    static integer lwkopt;
    static logical lquery;


    a_dim1 = *lda;
    a_offset = 1 + a_dim1;
    a -= a_offset;
    --w;
    --work;
    --rwork;

    /* Function Body */
    wantz = lsame_(jobz, "V");
    lower = lsame_(uplo, "L");
    lquery = *lwork == -1;

    *info = 0;
    if (! (wantz || lsame_(jobz, "N"))) {
	*info = -1;
    } else if (! (lower || lsame_(uplo, "U"))) {
	*info = -2;
    } else if (*n < 0) {
	*info = -3;
    } else if (*lda < max(1,*n)) {
	*info = -5;
    }

    if (*info == 0) {
	nb = ilaenv_(&c__1, "CHETRD", uplo, n, &c_n1, &c_n1, &c_n1, (ftnlen)6,
		 (ftnlen)1);
/* Computing MAX */
	i__1 = 1, i__2 = (nb + 1) * *n;
	lwkopt = max(i__1,i__2);
	work[1].r = (real) lwkopt, work[1].i = 0.f;

/* Computing MAX */
	i__1 = 1, i__2 = (*n << 1) - 1;
	if (*lwork < max(i__1,i__2) && ! lquery) {
	    *info = -8;
	}
    }

    if (*info != 0) {
	i__1 = -(*info);
	xerbla_("CHEEV ", &i__1);
	return 0;
    } else if (lquery) {
	return 0;
    }

/*     Quick return if possible */

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

    if (*n == 1) {
	i__1 = a_dim1 + 1;
	w[1] = a[i__1].r;
	work[1].r = 1.f, work[1].i = 0.f;
	if (wantz) {
	    i__1 = a_dim1 + 1;
	    a[i__1].r = 1.f, a[i__1].i = 0.f;
	}
	return 0;
    }

/*     Get machine constants. */

    safmin = slamch_("Safe minimum");
    eps = slamch_("Precision");
    smlnum = safmin / eps;
    bignum = 1.f / smlnum;
    rmin = sqrt(smlnum);
    rmax = sqrt(bignum);

/*     Scale matrix to allowable range, if necessary. */

    anrm = clanhe_("M", uplo, n, &a[a_offset], lda, &rwork[1]);
    iscale = 0;
    if (anrm > 0.f && anrm < rmin) {
	iscale = 1;
	sigma = rmin / anrm;
    } else if (anrm > rmax) {
	iscale = 1;
	sigma = rmax / anrm;
    }
    if (iscale == 1) {
	clascl_(uplo, &c__0, &c__0, &c_b18, &sigma, n, n, &a[a_offset], lda, 
		info);
    }

/*     Call CHETRD to reduce Hermitian matrix to tridiagonal form. */

    inde = 1;
    indtau = 1;
    indwrk = indtau + *n;
    llwork = *lwork - indwrk + 1;
    chetrd_(uplo, n, &a[a_offset], lda, &w[1], &rwork[inde], &work[indtau], &
	    work[indwrk], &llwork, &iinfo);

/*     For eigenvalues only, call SSTERF.  For eigenvectors, first call   
       CUNGTR to generate the unitary matrix, then call CSTEQR. */

    if (! wantz) {
	ssterf_(n, &w[1], &rwork[inde], info);
    } else {
	cungtr_(uplo, n, &a[a_offset], lda, &work[indtau], &work[indwrk], &
		llwork, &iinfo);
	indwrk = inde + *n;
	csteqr_(jobz, n, &w[1], &rwork[inde], &a[a_offset], lda, &rwork[
		indwrk], info);
    }

/*     If matrix was scaled, then rescale eigenvalues appropriately. */

    if (iscale == 1) {
	if (*info == 0) {
	    imax = *n;
	} else {
	    imax = *info - 1;
	}
	r__1 = 1.f / sigma;
	sscal_(&imax, &r__1, &w[1], &c__1);
    }

/*     Set WORK(1) to optimal complex workspace size. */

    work[1].r = (real) lwkopt, work[1].i = 0.f;

    return 0;

/*     End of CHEEV */

} /* cheev_ */