text: /* zlaqhe.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"
  
  /* Subroutine */ int zlaqhe_(char *uplo, integer *n, doublecomplex *a, 
  	integer *lda, doublereal *s, doublereal *scond, doublereal *amax, 
  	char *equed)
  {
      /* System generated locals */
      integer a_dim1, a_offset, i__1, i__2, i__3, i__4;
      doublereal d__1;
      doublecomplex z__1;
  
      /* Local variables */
      integer i__, j;
      doublereal cj, large;
      extern logical lsame_(char *, char *);
      doublereal small;
      extern doublereal dlamch_(char *);
  
  
  /*  -- LAPACK auxiliary routine (version 3.2) -- */
  /*     Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */
  /*     November 2006 */
  
  /*     .. Scalar Arguments .. */
  /*     .. */
  /*     .. Array Arguments .. */
  /*     .. */
  
  /*  Purpose */
  /*  ======= */
  
  /*  ZLAQHE equilibrates a Hermitian matrix A using the scaling factors */
  /*  in the vector S. */
  
  /*  Arguments */
  /*  ========= */
  
  /*  UPLO    (input) CHARACTER*1 */
  /*          Specifies whether the upper or lower triangular part of the */
  /*          Hermitian matrix A is stored. */
  /*          = 'U':  Upper triangular */
  /*          = 'L':  Lower triangular */
  
  /*  N       (input) INTEGER */
  /*          The order of the matrix A.  N >= 0. */
  
  /*  A       (input/output) COMPLEX*16 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, and the strictly lower */
  /*          triangular part of A is not referenced.  If UPLO = 'L', the */
  /*          leading n by n lower triangular part of A contains the lower */
  /*          triangular part of the matrix A, and the strictly upper */
  /*          triangular part of A is not referenced. */
  
  /*          On exit, if EQUED = 'Y', the equilibrated matrix: */
  /*          diag(S) * A * diag(S). */
  
  /*  LDA     (input) INTEGER */
  /*          The leading dimension of the array A.  LDA >= max(N,1). */
  
  /*  S       (input) DOUBLE PRECISION array, dimension (N) */
  /*          The scale factors for A. */
  
  /*  SCOND   (input) DOUBLE PRECISION */
  /*          Ratio of the smallest S(i) to the largest S(i). */
  
  /*  AMAX    (input) DOUBLE PRECISION */
  /*          Absolute value of largest matrix entry. */
  
  /*  EQUED   (output) CHARACTER*1 */
  /*          Specifies whether or not equilibration was done. */
  /*          = 'N':  No equilibration. */
  /*          = 'Y':  Equilibration was done, i.e., A has been replaced by */
  /*                  diag(S) * A * diag(S). */
  
  /*  Internal Parameters */
  /*  =================== */
  
  /*  THRESH is a threshold value used to decide if scaling should be done */
  /*  based on the ratio of the scaling factors.  If SCOND < THRESH, */
  /*  scaling is done. */
  
  /*  LARGE and SMALL are threshold values used to decide if scaling should */
  /*  be done based on the absolute size of the largest matrix element. */
  /*  If AMAX > LARGE or AMAX < SMALL, scaling is done. */
  
  /*  ===================================================================== */
  
  /*     .. Parameters .. */
  /*     .. */
  /*     .. Local Scalars .. */
  /*     .. */
  /*     .. External Functions .. */
  /*     .. */
  /*     .. Intrinsic Functions .. */
  /*     .. */
  /*     .. Executable Statements .. */
  
  /*     Quick return if possible */
  
      /* Parameter adjustments */
      a_dim1 = *lda;
      a_offset = 1 + a_dim1;
      a -= a_offset;
      --s;
  
      /* Function Body */
      if (*n <= 0) {
  	*(unsigned char *)equed = 'N';
  	return 0;
      }
  
  /*     Initialize LARGE and SMALL. */
  
      small = dlamch_("Safe minimum") / dlamch_("Precision");
      large = 1. / small;
  
      if (*scond >= .1 && *amax >= small && *amax <= large) {
  
  /*        No equilibration */
  
  	*(unsigned char *)equed = 'N';
      } else {
  
  /*        Replace A by diag(S) * A * diag(S). */
  
  	if (lsame_(uplo, "U")) {
  
  /*           Upper triangle of A is stored. */
  
  	    i__1 = *n;
  	    for (j = 1; j <= i__1; ++j) {
  		cj = s[j];
  		i__2 = j - 1;
  		for (i__ = 1; i__ <= i__2; ++i__) {
  		    i__3 = i__ + j * a_dim1;
  		    d__1 = cj * s[i__];
  		    i__4 = i__ + j * a_dim1;
  		    z__1.r = d__1 * a[i__4].r, z__1.i = d__1 * a[i__4].i;
  		    a[i__3].r = z__1.r, a[i__3].i = z__1.i;
  /* L10: */
  		}
  		i__2 = j + j * a_dim1;
  		i__3 = j + j * a_dim1;
  		d__1 = cj * cj * a[i__3].r;
  		a[i__2].r = d__1, a[i__2].i = 0.;
  /* L20: */
  	    }
  	} else {
  
  /*           Lower triangle of A is stored. */
  
  	    i__1 = *n;
  	    for (j = 1; j <= i__1; ++j) {
  		cj = s[j];
  		i__2 = j + j * a_dim1;
  		i__3 = j + j * a_dim1;
  		d__1 = cj * cj * a[i__3].r;
  		a[i__2].r = d__1, a[i__2].i = 0.;
  		i__2 = *n;
  		for (i__ = j + 1; i__ <= i__2; ++i__) {
  		    i__3 = i__ + j * a_dim1;
  		    d__1 = cj * s[i__];
  		    i__4 = i__ + j * a_dim1;
  		    z__1.r = d__1 * a[i__4].r, z__1.i = d__1 * a[i__4].i;
  		    a[i__3].r = z__1.r, a[i__3].i = z__1.i;
  /* L30: */
  		}
  /* L40: */
  	    }
  	}
  	*(unsigned char *)equed = 'Y';
      }
  
      return 0;
  
  /*     End of ZLAQHE */
  
  } /* zlaqhe_ */
  