double precision function dlapy3	(	double precision	X,
		double precision	Y,
		double precision	Z
	)

DLAPY3 returns sqrt(x2+y2+z2).

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Purpose:

 DLAPY3 returns sqrt(x**2+y**2+z**2), taking care not to cause
 unnecessary overflow.

Parameters

[in]	X	X is DOUBLE PRECISION
[in]	Y	Y is DOUBLE PRECISION
[in]	Z	Z is DOUBLE PRECISION X, Y and Z specify the values x, y and z.

Author

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date

September 2012

Definition at line 70 of file dlapy3.f.

*
*  -- 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 ..
      DOUBLE PRECISION   x, y, z
*     ..
*
*  =====================================================================
*
*     .. Parameters ..
      DOUBLE PRECISION   zero
      parameter                ( zero = 0.0d0 )
*     ..
*     .. Local Scalars ..
      DOUBLE PRECISION   w, xabs, yabs, zabs
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC          abs, max, sqrt
*     ..
*     .. Executable Statements ..
*
      xabs = abs( x )
      yabs = abs( y )
      zabs = abs( z )
      w = max( xabs, yabs, zabs )
      IF( w.EQ.zero ) THEN
*     W can be zero for max(0,nan,0)
*     adding all three entries together will make sure
*     NaN will not disappear.
         dlapy3 =  xabs + yabs + zabs
      ELSE
         dlapy3 = w*sqrt( ( xabs / w )**2+( yabs / w )**2+
     $            ( zabs / w )**2 )
      END IF
      RETURN
*
*     End of DLAPY3
*