text: /* ../netlib/zlansy.f -- 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 "FLA_f2c.h" /* Table of constant values */
  static integer c__1 = 1;
  /* > \brief \b ZLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the ele ment of largest absolute value of a complex symmetric matrix. */
  /* =========== DOCUMENTATION =========== */
  /* Online html documentation available at */
  /* http://www.netlib.org/lapack/explore-html/ */
  /* > \htmlonly */
  /* > Download ZLANSY + dependencies */
  /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlansy. f"> */
  /* > [TGZ]</a> */
  /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlansy. f"> */
  /* > [ZIP]</a> */
  /* > <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlansy. f"> */
  /* > [TXT]</a> */
  /* > \endhtmlonly */
  /* Definition: */
  /* =========== */
  /* DOUBLE PRECISION FUNCTION ZLANSY( NORM, UPLO, N, A, LDA, WORK ) */
  /* .. Scalar Arguments .. */
  /* CHARACTER NORM, UPLO */
  /* INTEGER LDA, N */
  /* .. */
  /* .. Array Arguments .. */
  /* DOUBLE PRECISION WORK( * ) */
  /* COMPLEX*16 A( LDA, * ) */
  /* .. */
  /* > \par Purpose: */
  /* ============= */
  /* > */
  /* > \verbatim */
  /* > */
  /* > ZLANSY returns the value of the one norm, or the Frobenius norm, or */
  /* > the infinity norm, or the element of largest absolute value of a */
  /* > complex symmetric matrix A. */
  /* > \endverbatim */
  /* > */
  /* > \return ZLANSY */
  /* > \verbatim */
  /* > */
  /* > ZLANSY = ( max(f2c_abs(A(i,j))), NORM = 'M' or 'm' */
  /* > ( */
  /* > ( norm1(A), NORM = '1', 'O' or 'o' */
  /* > ( */
  /* > ( normI(A), NORM = 'I' or 'i' */
  /* > ( */
  /* > ( normF(A), NORM = 'F', 'f', 'E' or 'e' */
  /* > */
  /* > where norm1 denotes the one norm of a matrix (maximum column sum), */
  /* > normI denotes the infinity norm of a matrix (maximum row sum) and */
  /* > normF denotes the Frobenius norm of a matrix (square root of sum of */
  /* > squares). Note that max(f2c_abs(A(i,j))) is not a consistent matrix norm. */
  /* > \endverbatim */
  /* Arguments: */
  /* ========== */
  /* > \param[in] NORM */
  /* > \verbatim */
  /* > NORM is CHARACTER*1 */
  /* > Specifies the value to be returned in ZLANSY as described */
  /* > above. */
  /* > \endverbatim */
  /* > */
  /* > \param[in] UPLO */
  /* > \verbatim */
  /* > UPLO is CHARACTER*1 */
  /* > Specifies whether the upper or lower triangular part of the */
  /* > symmetric matrix A is to be referenced. */
  /* > = 'U': Upper triangular part of A is referenced */
  /* > = 'L': Lower triangular part of A is referenced */
  /* > \endverbatim */
  /* > */
  /* > \param[in] N */
  /* > \verbatim */
  /* > N is INTEGER */
  /* > The order of the matrix A. N >= 0. When N = 0, ZLANSY is */
  /* > set to zero. */
  /* > \endverbatim */
  /* > */
  /* > \param[in] A */
  /* > \verbatim */
  /* > A is COMPLEX*16 array, dimension (LDA,N) */
  /* > The symmetric 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. */
  /* > \endverbatim */
  /* > */
  /* > \param[in] LDA */
  /* > \verbatim */
  /* > LDA is INTEGER */
  /* > The leading dimension of the array A. LDA >= max(N,1). */
  /* > \endverbatim */
  /* > */
  /* > \param[out] WORK */
  /* > \verbatim */
  /* > WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)), */
  /* > where LWORK >= N when NORM = 'I' or '1' or 'O';
  otherwise, */
  /* > WORK is not referenced. */
  /* > \endverbatim */
  /* Authors: */
  /* ======== */
  /* > \author Univ. of Tennessee */
  /* > \author Univ. of California Berkeley */
  /* > \author Univ. of Colorado Denver */
  /* > \author NAG Ltd. */
  /* > \date September 2012 */
  /* > \ingroup complex16SYauxiliary */
  /* ===================================================================== */
  doublereal zlansy_(char *norm, char *uplo, integer *n, doublecomplex *a, integer *lda, doublereal *work)
  {
      /* System generated locals */
      integer a_dim1, a_offset, i__1, i__2;
      doublereal ret_val;
      /* Builtin functions */
      double z_abs(doublecomplex *), sqrt(doublereal);
      /* Local variables */
      integer i__, j;
      doublereal sum, absa, scale;
      extern logical lsame_(char *, char *);
      doublereal value;
      extern logical disnan_(doublereal *);
      extern /* Subroutine */
      int zlassq_(integer *, doublecomplex *, integer *, doublereal *, doublereal *);
      /* -- LAPACK auxiliary routine (version 3.4.2) -- */
      /* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
      /* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
      /* September 2012 */
      /* .. Scalar Arguments .. */
      /* .. */
      /* .. Array Arguments .. */
      /* .. */
      /* ===================================================================== */
      /* .. Parameters .. */
      /* .. */
      /* .. Local Scalars .. */
      /* .. */
      /* .. External Functions .. */
      /* .. */
      /* .. External Subroutines .. */
      /* .. */
      /* .. Intrinsic Functions .. */
      /* .. */
      /* .. Executable Statements .. */
      /* Parameter adjustments */
      a_dim1 = *lda;
      a_offset = 1 + a_dim1;
      a -= a_offset;
      --work;
      /* Function Body */
      if (*n == 0)
      {
          value = 0.;
      }
      else if (lsame_(norm, "M"))
      {
          /* Find max(f2c_abs(A(i,j))). */
          value = 0.;
          if (lsame_(uplo, "U"))
          {
              i__1 = *n;
              for (j = 1;
                      j <= i__1;
                      ++j)
              {
                  i__2 = j;
                  for (i__ = 1;
                          i__ <= i__2;
                          ++i__)
                  {
                      sum = z_abs(&a[i__ + j * a_dim1]);
                      if (value < sum || disnan_(&sum))
                      {
                          value = sum;
                      }
                      /* L10: */
                  }
                  /* L20: */
              }
          }
          else
          {
              i__1 = *n;
              for (j = 1;
                      j <= i__1;
                      ++j)
              {
                  i__2 = *n;
                  for (i__ = j;
                          i__ <= i__2;
                          ++i__)
                  {
                      sum = z_abs(&a[i__ + j * a_dim1]);
                      if (value < sum || disnan_(&sum))
                      {
                          value = sum;
                      }
                      /* L30: */
                  }
                  /* L40: */
              }
          }
      }
      else if (lsame_(norm, "I") || lsame_(norm, "O") || *(unsigned char *)norm == '1')
      {
          /* Find normI(A) ( = norm1(A), since A is symmetric). */
          value = 0.;
          if (lsame_(uplo, "U"))
          {
              i__1 = *n;
              for (j = 1;
                      j <= i__1;
                      ++j)
              {
                  sum = 0.;
                  i__2 = j - 1;
                  for (i__ = 1;
                          i__ <= i__2;
                          ++i__)
                  {
                      absa = z_abs(&a[i__ + j * a_dim1]);
                      sum += absa;
                      work[i__] += absa;
                      /* L50: */
                  }
                  work[j] = sum + z_abs(&a[j + j * a_dim1]);
                  /* L60: */
              }
              i__1 = *n;
              for (i__ = 1;
                      i__ <= i__1;
                      ++i__)
              {
                  sum = work[i__];
                  if (value < sum || disnan_(&sum))
                  {
                      value = sum;
                  }
                  /* L70: */
              }
          }
          else
          {
              i__1 = *n;
              for (i__ = 1;
                      i__ <= i__1;
                      ++i__)
              {
                  work[i__] = 0.;
                  /* L80: */
              }
              i__1 = *n;
              for (j = 1;
                      j <= i__1;
                      ++j)
              {
                  sum = work[j] + z_abs(&a[j + j * a_dim1]);
                  i__2 = *n;
                  for (i__ = j + 1;
                          i__ <= i__2;
                          ++i__)
                  {
                      absa = z_abs(&a[i__ + j * a_dim1]);
                      sum += absa;
                      work[i__] += absa;
                      /* L90: */
                  }
                  if (value < sum || disnan_(&sum))
                  {
                      value = sum;
                  }
                  /* L100: */
              }
          }
      }
      else if (lsame_(norm, "F") || lsame_(norm, "E"))
      {
          /* Find normF(A). */
          scale = 0.;
          sum = 1.;
          if (lsame_(uplo, "U"))
          {
              i__1 = *n;
              for (j = 2;
                      j <= i__1;
                      ++j)
              {
                  i__2 = j - 1;
                  zlassq_(&i__2, &a[j * a_dim1 + 1], &c__1, &scale, &sum);
                  /* L110: */
              }
          }
          else
          {
              i__1 = *n - 1;
              for (j = 1;
                      j <= i__1;
                      ++j)
              {
                  i__2 = *n - j;
                  zlassq_(&i__2, &a[j + 1 + j * a_dim1], &c__1, &scale, &sum);
                  /* L120: */
              }
          }
          sum *= 2;
          i__1 = *lda + 1;
          zlassq_(n, &a[a_offset], &i__1, &scale, &sum);
          value = scale * sqrt(sum);
      }
      ret_val = value;
      return ret_val;
      /* End of ZLANSY */
  }
  /* zlansy_ */
  