--- rpl/lapack/lapack/zlartg.f 2010/01/26 15:22:45 1.1
+++ rpl/lapack/lapack/zlartg.f 2017/06/17 10:54:22 1.16
@@ -1,56 +1,118 @@
+*> \brief \b ZLARTG generates a plane rotation with real cosine and complex sine.
+*
+* =========== DOCUMENTATION ===========
+*
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
+*
+*> \htmlonly
+*> Download ZLARTG + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
+*> [TXT]
+*> \endhtmlonly
+*
+* Definition:
+* ===========
+*
+* SUBROUTINE ZLARTG( F, G, CS, SN, R )
+*
+* .. Scalar Arguments ..
+* DOUBLE PRECISION CS
+* COMPLEX*16 F, G, R, SN
+* ..
+*
+*
+*> \par Purpose:
+* =============
+*>
+*> \verbatim
+*>
+*> ZLARTG generates a plane rotation so that
+*>
+*> [ CS SN ] [ F ] [ R ]
+*> [ __ ] . [ ] = [ ] where CS**2 + |SN|**2 = 1.
+*> [ -SN CS ] [ G ] [ 0 ]
+*>
+*> This is a faster version of the BLAS1 routine ZROTG, except for
+*> the following differences:
+*> F and G are unchanged on return.
+*> If G=0, then CS=1 and SN=0.
+*> If F=0, then CS=0 and SN is chosen so that R is real.
+*> \endverbatim
+*
+* Arguments:
+* ==========
+*
+*> \param[in] F
+*> \verbatim
+*> F is COMPLEX*16
+*> The first component of vector to be rotated.
+*> \endverbatim
+*>
+*> \param[in] G
+*> \verbatim
+*> G is COMPLEX*16
+*> The second component of vector to be rotated.
+*> \endverbatim
+*>
+*> \param[out] CS
+*> \verbatim
+*> CS is DOUBLE PRECISION
+*> The cosine of the rotation.
+*> \endverbatim
+*>
+*> \param[out] SN
+*> \verbatim
+*> SN is COMPLEX*16
+*> The sine of the rotation.
+*> \endverbatim
+*>
+*> \param[out] R
+*> \verbatim
+*> R is COMPLEX*16
+*> The nonzero component of the rotated vector.
+*> \endverbatim
+*
+* Authors:
+* ========
+*
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
+*
+*> \date December 2016
+*
+*> \ingroup complex16OTHERauxiliary
+*
+*> \par Further Details:
+* =====================
+*>
+*> \verbatim
+*>
+*> 3-5-96 - Modified with a new algorithm by W. Kahan and J. Demmel
+*>
+*> This version has a few statements commented out for thread safety
+*> (machine parameters are computed on each entry). 10 feb 03, SJH.
+*> \endverbatim
+*>
+* =====================================================================
SUBROUTINE ZLARTG( F, G, CS, SN, R )
*
-* -- 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 ..
DOUBLE PRECISION CS
COMPLEX*16 F, G, R, SN
* ..
*
-* Purpose
-* =======
-*
-* ZLARTG generates a plane rotation so that
-*
-* [ CS SN ] [ F ] [ R ]
-* [ __ ] . [ ] = [ ] where CS**2 + |SN|**2 = 1.
-* [ -SN CS ] [ G ] [ 0 ]
-*
-* This is a faster version of the BLAS1 routine ZROTG, except for
-* the following differences:
-* F and G are unchanged on return.
-* If G=0, then CS=1 and SN=0.
-* If F=0, then CS=0 and SN is chosen so that R is real.
-*
-* Arguments
-* =========
-*
-* F (input) COMPLEX*16
-* The first component of vector to be rotated.
-*
-* G (input) COMPLEX*16
-* The second component of vector to be rotated.
-*
-* CS (output) DOUBLE PRECISION
-* The cosine of the rotation.
-*
-* SN (output) COMPLEX*16
-* The sine of the rotation.
-*
-* R (output) COMPLEX*16
-* The nonzero component of the rotated vector.
-*
-* Further Details
-* ======= =======
-*
-* 3-5-96 - Modified with a new algorithm by W. Kahan and J. Demmel
-*
-* This version has a few statements commented out for thread safety
-* (machine parameters are computed on each entry). 10 feb 03, SJH.
-*
* =====================================================================
*
* .. Parameters ..
@@ -68,7 +130,8 @@
* ..
* .. External Functions ..
DOUBLE PRECISION DLAMCH, DLAPY2
- EXTERNAL DLAMCH, DLAPY2
+ LOGICAL DISNAN
+ EXTERNAL DLAMCH, DLAPY2, DISNAN
* ..
* .. Intrinsic Functions ..
INTRINSIC ABS, DBLE, DCMPLX, DCONJG, DIMAG, INT, LOG,
@@ -77,26 +140,17 @@
* .. Statement Functions ..
DOUBLE PRECISION ABS1, ABSSQ
* ..
-* .. Save statement ..
-* SAVE FIRST, SAFMX2, SAFMIN, SAFMN2
-* ..
-* .. Data statements ..
-* DATA FIRST / .TRUE. /
-* ..
* .. Statement Function definitions ..
ABS1( FF ) = MAX( ABS( DBLE( FF ) ), ABS( DIMAG( FF ) ) )
ABSSQ( FF ) = DBLE( FF )**2 + DIMAG( FF )**2
* ..
* .. Executable Statements ..
*
-* IF( FIRST ) THEN
- SAFMIN = DLAMCH( 'S' )
- EPS = DLAMCH( 'E' )
- SAFMN2 = DLAMCH( 'B' )**INT( LOG( SAFMIN / EPS ) /
- $ LOG( DLAMCH( 'B' ) ) / TWO )
- SAFMX2 = ONE / SAFMN2
-* FIRST = .FALSE.
-* END IF
+ SAFMIN = DLAMCH( 'S' )
+ EPS = DLAMCH( 'E' )
+ SAFMN2 = DLAMCH( 'B' )**INT( LOG( SAFMIN / EPS ) /
+ $ LOG( DLAMCH( 'B' ) ) / TWO )
+ SAFMX2 = ONE / SAFMN2
SCALE = MAX( ABS1( F ), ABS1( G ) )
FS = F
GS = G
@@ -110,7 +164,7 @@
IF( SCALE.GE.SAFMX2 )
$ GO TO 10
ELSE IF( SCALE.LE.SAFMN2 ) THEN
- IF( G.EQ.CZERO ) THEN
+ IF( G.EQ.CZERO.OR.DISNAN( ABS( G ) ) ) THEN
CS = ONE
SN = CZERO
R = F