--- rpl/lapack/lapack/dlassq.f 2010/08/07 13:22:21 1.5
+++ rpl/lapack/lapack/dlassq.f 2012/12/14 14:22:36 1.12
@@ -1,9 +1,112 @@
+*> \brief \b DLASSQ updates a sum of squares represented in scaled form.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download DLASSQ + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE DLASSQ( N, X, INCX, SCALE, SUMSQ )
+*
+* .. Scalar Arguments ..
+* INTEGER INCX, N
+* DOUBLE PRECISION SCALE, SUMSQ
+* ..
+* .. Array Arguments ..
+* DOUBLE PRECISION X( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> DLASSQ returns the values scl and smsq such that
+*>
+*> ( scl**2 )*smsq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,
+*>
+*> where x( i ) = X( 1 + ( i - 1 )*INCX ). The value of sumsq is
+*> assumed to be non-negative and scl returns the value
+*>
+*> scl = max( scale, abs( x( i ) ) ).
+*>
+*> scale and sumsq must be supplied in SCALE and SUMSQ and
+*> scl and smsq are overwritten on SCALE and SUMSQ respectively.
+*>
+*> The routine makes only one pass through the vector x.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] N
+*> \verbatim
+*> N is INTEGER
+*> The number of elements to be used from the vector X.
+*> \endverbatim
+*>
+*> \param[in] X
+*> \verbatim
+*> X is DOUBLE PRECISION array, dimension (N)
+*> The vector for which a scaled sum of squares is computed.
+*> x( i ) = X( 1 + ( i - 1 )*INCX ), 1 <= i <= n.
+*> \endverbatim
+*>
+*> \param[in] INCX
+*> \verbatim
+*> INCX is INTEGER
+*> The increment between successive values of the vector X.
+*> INCX > 0.
+*> \endverbatim
+*>
+*> \param[in,out] SCALE
+*> \verbatim
+*> SCALE is DOUBLE PRECISION
+*> On entry, the value scale in the equation above.
+*> On exit, SCALE is overwritten with scl , the scaling factor
+*> for the sum of squares.
+*> \endverbatim
+*>
+*> \param[in,out] SUMSQ
+*> \verbatim
+*> SUMSQ is DOUBLE PRECISION
+*> On entry, the value sumsq in the equation above.
+*> On exit, SUMSQ is overwritten with smsq , the basic sum of
+*> squares from which scl has been factored out.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date September 2012
+*
+*> \ingroup auxOTHERauxiliary
+*
+* =====================================================================
SUBROUTINE DLASSQ( N, X, INCX, SCALE, SUMSQ )
*
-* -- LAPACK auxiliary routine (version 3.2) --
+* -- 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..--
-* November 2006
+* September 2012
*
* .. Scalar Arguments ..
INTEGER INCX, N
@@ -13,47 +116,6 @@
DOUBLE PRECISION X( * )
* ..
*
-* Purpose
-* =======
-*
-* DLASSQ returns the values scl and smsq such that
-*
-* ( scl**2 )*smsq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,
-*
-* where x( i ) = X( 1 + ( i - 1 )*INCX ). The value of sumsq is
-* assumed to be non-negative and scl returns the value
-*
-* scl = max( scale, abs( x( i ) ) ).
-*
-* scale and sumsq must be supplied in SCALE and SUMSQ and
-* scl and smsq are overwritten on SCALE and SUMSQ respectively.
-*
-* The routine makes only one pass through the vector x.
-*
-* Arguments
-* =========
-*
-* N (input) INTEGER
-* The number of elements to be used from the vector X.
-*
-* X (input) DOUBLE PRECISION array, dimension (N)
-* The vector for which a scaled sum of squares is computed.
-* x( i ) = X( 1 + ( i - 1 )*INCX ), 1 <= i <= n.
-*
-* INCX (input) INTEGER
-* The increment between successive values of the vector X.
-* INCX > 0.
-*
-* SCALE (input/output) DOUBLE PRECISION
-* On entry, the value scale in the equation above.
-* On exit, SCALE is overwritten with scl , the scaling factor
-* for the sum of squares.
-*
-* SUMSQ (input/output) DOUBLE PRECISION
-* On entry, the value sumsq in the equation above.
-* On exit, SUMSQ is overwritten with smsq , the basic sum of
-* squares from which scl has been factored out.
-*
* =====================================================================
*
* .. Parameters ..
@@ -64,6 +126,10 @@
INTEGER IX
DOUBLE PRECISION ABSXI
* ..
+* .. External Functions ..
+ LOGICAL DISNAN
+ EXTERNAL DISNAN
+* ..
* .. Intrinsic Functions ..
INTRINSIC ABS
* ..
@@ -71,8 +137,8 @@
*
IF( N.GT.0 ) THEN
DO 10 IX = 1, 1 + ( N-1 )*INCX, INCX
- IF( X( IX ).NE.ZERO ) THEN
- ABSXI = ABS( X( IX ) )
+ ABSXI = ABS( X( IX ) )
+ IF( ABSXI.GT.ZERO.OR.DISNAN( ABSXI ) ) THEN
IF( SCALE.LT.ABSXI ) THEN
SUMSQ = 1 + SUMSQ*( SCALE / ABSXI )**2
SCALE = ABSXI