scnrm2.f

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*> \brief \b SCNRM2
*
*  =========== DOCUMENTATION ===========
*
* Online html documentation available at
*            http://www.netlib.org/lapack/explore-html/
*
*  Definition:
*  ===========
*
*       REAL FUNCTION SCNRM2(N,X,INCX)
*
*       .. Scalar Arguments ..
*       INTEGER INCX,N
*       ..
*       .. Array Arguments ..
*       COMPLEX X(*)
*       ..
*
*
*> \par Purpose:
*  =============
*>
*> \verbatim
*>
*> SCNRM2 returns the euclidean norm of a vector via the function
*> name, so that
*>
*>    SCNRM2 := sqrt( x**H*x )
*> \endverbatim
*
*  Arguments:
*  ==========
*
*> \param[in] N
*> \verbatim
*>          N is INTEGER
*>         number of elements in input vector(s)
*> \endverbatim
*>
*> \param[in] X
*> \verbatim
*>          X is COMPLEX array, dimension (N)
*>         complex vector with N elements
*> \endverbatim
*>
*> \param[in] INCX
*> \verbatim
*>          INCX is INTEGER
*>         storage spacing between elements of X
*> \endverbatim
*
*  Authors:
*  ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date November 2017
*
*> \ingroup single_blas_level1
*
*> \par Further Details:
*  =====================
*>
*> \verbatim
*>
*>  -- This version written on 25-October-1982.
*>     Modified on 14-October-1993 to inline the call to CLASSQ.
*>     Sven Hammarling, Nag Ltd.
*> \endverbatim
*>
*  =====================================================================
      REAL FUNCTION SCNRM2(N,X,INCX)
*
*  -- Reference BLAS level1 routine (version 3.8.0) --
*  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*     November 2017
*
*     .. Scalar Arguments ..
      INTEGER incx,n
*     ..
*     .. Array Arguments ..
      COMPLEX x(*)
*     ..
*
*  =====================================================================
*
*     .. Parameters ..
      REAL one,zero
      parameter(one=1.0e+0,zero=0.0e+0)
*     ..
*     .. Local Scalars ..
      REAL norm,scale,ssq,temp
      INTEGER ix
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC abs,aimag,real,sqrt
*     ..
      IF (n.LT.1 .OR. incx.LT.1) THEN
          norm = zero
      ELSE
          scale = zero
          ssq = one
*        The following loop is equivalent to this call to the LAPACK
*        auxiliary routine:
*        CALL CLASSQ( N, X, INCX, SCALE, SSQ )
*
          DO 10 ix = 1,1 + (n-1)*incx,incx
              IF (real(x(ix)).NE.zero) THEN
                  temp = abs(real(x(ix)))
                  IF (scale.LT.temp) THEN
                      ssq = one + ssq* (scale/temp)**2
                      scale = temp
                  ELSE
                      ssq = ssq + (temp/scale)**2
                  END IF
              END IF
              IF (aimag(x(ix)).NE.zero) THEN
                  temp = abs(aimag(x(ix)))
                  IF (scale.LT.temp) THEN
                      ssq = one + ssq* (scale/temp)**2
                      scale = temp
                  ELSE
                      ssq = ssq + (temp/scale)**2
                  END IF
              END IF
   10     CONTINUE
          norm = scale*sqrt(ssq)
      END IF
*
      scnrm2 = norm
      RETURN
*
*     End of SCNRM2.
*
      END