--- rpl/lapack/lapack/zlassq.f 2010/01/26 15:22:45 1.1.1.1
+++ rpl/lapack/lapack/zlassq.f 2020/05/21 21:46:09 1.18
@@ -1,9 +1,115 @@
+*> \brief \b ZLASSQ updates a sum of squares represented in scaled form.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZLASSQ + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ )
+*
+* .. Scalar Arguments ..
+* INTEGER INCX, N
+* DOUBLE PRECISION SCALE, SUMSQ
+* ..
+* .. Array Arguments ..
+* COMPLEX*16 X( * )
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZLASSQ returns the values scl and ssq such that
+*>
+*> ( scl**2 )*ssq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,
+*>
+*> where x( i ) = abs( X( 1 + ( i - 1 )*INCX ) ). The value of sumsq is
+*> assumed to be at least unity and the value of ssq will then satisfy
+*>
+*> 1.0 <= ssq <= ( sumsq + 2*n ).
+*>
+*> scale is assumed to be non-negative and scl returns the value
+*>
+*> scl = max( scale, abs( real( x( i ) ) ), abs( aimag( x( i ) ) ) ),
+*> i
+*>
+*> scale and sumsq must be supplied in SCALE and SUMSQ respectively.
+*> SCALE and SUMSQ are overwritten by scl and ssq 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 COMPLEX*16 array, dimension (1+(N-1)*INCX)
+*> The vector x as described above.
+*> 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 the value scl .
+*> \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 the value ssq .
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date December 2016
+*
+*> \ingroup complex16OTHERauxiliary
+*
+* =====================================================================
SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ )
*
-* -- LAPACK auxiliary routine (version 3.2) --
+* -- LAPACK auxiliary routine (version 3.7.0) --
* -- LAPACK is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
-* November 2006
+* December 2016
*
* .. Scalar Arguments ..
INTEGER INCX, N
@@ -13,50 +119,6 @@
COMPLEX*16 X( * )
* ..
*
-* Purpose
-* =======
-*
-* ZLASSQ returns the values scl and ssq such that
-*
-* ( scl**2 )*ssq = x( 1 )**2 +...+ x( n )**2 + ( scale**2 )*sumsq,
-*
-* where x( i ) = abs( X( 1 + ( i - 1 )*INCX ) ). The value of sumsq is
-* assumed to be at least unity and the value of ssq will then satisfy
-*
-* 1.0 .le. ssq .le. ( sumsq + 2*n ).
-*
-* scale is assumed to be non-negative and scl returns the value
-*
-* scl = max( scale, abs( real( x( i ) ) ), abs( aimag( x( i ) ) ) ),
-* i
-*
-* scale and sumsq must be supplied in SCALE and SUMSQ respectively.
-* SCALE and SUMSQ are overwritten by scl and ssq 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) COMPLEX*16 array, dimension (N)
-* The vector x as described above.
-* 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 the value scl .
-*
-* SUMSQ (input/output) DOUBLE PRECISION
-* On entry, the value sumsq in the equation above.
-* On exit, SUMSQ is overwritten with the value ssq .
-*
* =====================================================================
*
* .. Parameters ..
@@ -67,6 +129,10 @@
INTEGER IX
DOUBLE PRECISION TEMP1
* ..
+* .. External Functions ..
+ LOGICAL DISNAN
+ EXTERNAL DISNAN
+* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, DBLE, DIMAG
* ..
@@ -74,8 +140,8 @@
*
IF( N.GT.0 ) THEN
DO 10 IX = 1, 1 + ( N-1 )*INCX, INCX
- IF( DBLE( X( IX ) ).NE.ZERO ) THEN
- TEMP1 = ABS( DBLE( X( IX ) ) )
+ TEMP1 = ABS( DBLE( X( IX ) ) )
+ IF( TEMP1.GT.ZERO.OR.DISNAN( TEMP1 ) ) THEN
IF( SCALE.LT.TEMP1 ) THEN
SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2
SCALE = TEMP1
@@ -83,8 +149,8 @@
SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2
END IF
END IF
- IF( DIMAG( X( IX ) ).NE.ZERO ) THEN
- TEMP1 = ABS( DIMAG( X( IX ) ) )
+ TEMP1 = ABS( DIMAG( X( IX ) ) )
+ IF( TEMP1.GT.ZERO.OR.DISNAN( TEMP1 ) ) THEN
IF( SCALE.LT.TEMP1 ) THEN
SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2
SCALE = TEMP1