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cs440-acg/ext/eigen/lapack/slapy3.f

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+*> \brief \b SLAPY3
+*
+*  =========== DOCUMENTATION ===========
+*
+* Online html documentation available at 
+*            http://www.netlib.org/lapack/explore-html/ 
+*
+*> \htmlonly
+*> Download SLAPY3 + dependencies 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/slapy3.f"> 
+*> [TGZ]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/slapy3.f"> 
+*> [ZIP]</a> 
+*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/slapy3.f"> 
+*> [TXT]</a>
+*> \endhtmlonly 
+*
+*  Definition:
+*  ===========
+*
+*       REAL             FUNCTION SLAPY3( X, Y, Z )
+* 
+*       .. Scalar Arguments ..
+*       REAL               X, Y, Z
+*       ..
+*  
+*
+*> \par Purpose:
+*  =============
+*>
+*> \verbatim
+*>
+*> SLAPY3 returns sqrt(x**2+y**2+z**2), taking care not to cause
+*> unnecessary overflow.
+*> \endverbatim
+*
+*  Arguments:
+*  ==========
+*
+*> \param[in] X
+*> \verbatim
+*>          X is REAL
+*> \endverbatim
+*>
+*> \param[in] Y
+*> \verbatim
+*>          Y is REAL
+*> \endverbatim
+*>
+*> \param[in] Z
+*> \verbatim
+*>          Z is REAL
+*>          X, Y and Z specify the values x, y and z.
+*> \endverbatim
+*
+*  Authors:
+*  ========
+*
+*> \author Univ. of Tennessee 
+*> \author Univ. of California Berkeley 
+*> \author Univ. of Colorado Denver 
+*> \author NAG Ltd. 
+*
+*> \date November 2011
+*
+*> \ingroup auxOTHERauxiliary
+*
+*  =====================================================================
+      REAL             FUNCTION SLAPY3( X, Y, Z )
+*
+*  -- LAPACK auxiliary routine (version 3.4.0) --
+*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
+*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
+*     November 2011
+*
+*     .. Scalar Arguments ..
+      REAL               X, Y, Z
+*     ..
+*
+*  =====================================================================
+*
+*     .. Parameters ..
+      REAL               ZERO
+      PARAMETER          ( ZERO = 0.0E0 )
+*     ..
+*     .. Local Scalars ..
+      REAL               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.
+         SLAPY3 =  XABS + YABS + ZABS
+      ELSE
+         SLAPY3 = W*SQRT( ( XABS / W )**2+( YABS / W )**2+
+     $            ( ZABS / W )**2 )
+      END IF
+      RETURN
+*
+*     End of SLAPY3
+*
+      END