dnrm2.f

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      Function dnrm2( N, X, INCX )               Result( norm2 )
! ----------------------------------------------------------------------
      Use      Numerics
      Implicit None
*     .. Scalar Arguments ..
      INTEGER                           INCX, N
*     .. Array Arguments ..
      Real(l_)                  X( * )
*     ..
*
*  dnrm2 returns the euclidean norm of a vector via the function
*  name, so that
*
*     dnrm2 := sqrt( x'*x )
*
*
*
*  -- This version written on 25-October-1982.
*     Modified on 14-October-1993 to inline the call to DLASSQ.
*     Sven Hammarling, Nag Ltd.
*
*
*     .. Parameters ..
      Real(l_)      ONE         , ZERO
      PARAMETER           ( ONE = 1.0_l_, ZERO = 0.0_l_ )
*     .. Local Scalars ..
      INTEGER               IX
      Real(l_)      ABSXI, NORM, SCALE, SSQ, norm2
*     .. Intrinsic Functions ..
      INTRINSIC             ABS, SQRT
*     ..
*     .. Executable Statements ..
      IF( N.LT.1 .OR. INCX.LT.1 )THEN
         NORM  = ZERO
      ELSE IF( N.EQ.1 )THEN
         NORM  = ABS( X( 1 ) )
      ELSE
         SCALE = ZERO
         SSQ   = ONE
*        The following loop is equivalent to this call to the LAPACK
*        auxiliary routine:
*        CALL DLASSQ( N, X, INCX, SCALE, SSQ )
*
         DO 10, IX = 1, 1 + ( N - 1 )*INCX, INCX
            IF( X( IX ).NE.ZERO )THEN
               ABSXI = ABS( X( IX ) )
               IF( SCALE.LT.ABSXI )THEN
                  SSQ   = ONE   + SSQ*( SCALE/ABSXI )**2
                  SCALE = ABSXI
               ELSE
                  SSQ   = SSQ   +     ( ABSXI/SCALE )**2
               END IF
            END IF
   10    CONTINUE
         NORM  = SCALE * SQRT( SSQ )
      END IF
*
      norm2 = NORM
      RETURN
*
*     End of norm2.
*
      END