--- rpl/lapack/lapack/dlange.f 2012/12/14 14:22:33 1.12
+++ rpl/lapack/lapack/dlange.f 2020/05/21 21:45:59 1.18
@@ -2,24 +2,24 @@
*
* =========== DOCUMENTATION ===========
*
-* Online html documentation available at
-* http://www.netlib.org/lapack/explore-html/
+* Online html documentation available at
+* http://www.netlib.org/lapack/explore-html/
*
*> \htmlonly
-*> Download DLANGE + dependencies
-*>
-*> [TGZ]
-*>
-*> [ZIP]
-*>
+*> Download DLANGE + dependencies
+*>
+*> [TGZ]
+*>
+*> [ZIP]
+*>
*> [TXT]
-*> \endhtmlonly
+*> \endhtmlonly
*
* Definition:
* ===========
*
* DOUBLE PRECISION FUNCTION DLANGE( NORM, M, N, A, LDA, WORK )
-*
+*
* .. Scalar Arguments ..
* CHARACTER NORM
* INTEGER LDA, M, N
@@ -27,7 +27,7 @@
* .. Array Arguments ..
* DOUBLE PRECISION A( LDA, * ), WORK( * )
* ..
-*
+*
*
*> \par Purpose:
* =============
@@ -102,23 +102,24 @@
* Authors:
* ========
*
-*> \author Univ. of Tennessee
-*> \author Univ. of California Berkeley
-*> \author Univ. of Colorado Denver
-*> \author NAG Ltd.
+*> \author Univ. of Tennessee
+*> \author Univ. of California Berkeley
+*> \author Univ. of Colorado Denver
+*> \author NAG Ltd.
*
-*> \date September 2012
+*> \date December 2016
*
*> \ingroup doubleGEauxiliary
*
* =====================================================================
DOUBLE PRECISION FUNCTION DLANGE( NORM, M, N, A, LDA, WORK )
*
-* -- LAPACK auxiliary routine (version 3.4.2) --
+* -- 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..--
-* September 2012
+* December 2016
*
+ IMPLICIT NONE
* .. Scalar Arguments ..
CHARACTER NORM
INTEGER LDA, M, N
@@ -135,10 +136,13 @@
* ..
* .. Local Scalars ..
INTEGER I, J
- DOUBLE PRECISION SCALE, SUM, VALUE, TEMP
+ DOUBLE PRECISION SUM, VALUE, TEMP
+* ..
+* .. Local Arrays ..
+ DOUBLE PRECISION SSQ( 2 ), COLSSQ( 2 )
* ..
* .. External Subroutines ..
- EXTERNAL DLASSQ
+ EXTERNAL DLASSQ, DCOMBSSQ
* ..
* .. External Functions ..
LOGICAL LSAME, DISNAN
@@ -194,13 +198,19 @@
ELSE IF( ( LSAME( NORM, 'F' ) ) .OR. ( LSAME( NORM, 'E' ) ) ) THEN
*
* Find normF(A).
+* SSQ(1) is scale
+* SSQ(2) is sum-of-squares
+* For better accuracy, sum each column separately.
*
- SCALE = ZERO
- SUM = ONE
+ SSQ( 1 ) = ZERO
+ SSQ( 2 ) = ONE
DO 90 J = 1, N
- CALL DLASSQ( M, A( 1, J ), 1, SCALE, SUM )
+ COLSSQ( 1 ) = ZERO
+ COLSSQ( 2 ) = ONE
+ CALL DLASSQ( M, A( 1, J ), 1, COLSSQ( 1 ), COLSSQ( 2 ) )
+ CALL DCOMBSSQ( SSQ, COLSSQ )
90 CONTINUE
- VALUE = SCALE*SQRT( SUM )
+ VALUE = SSQ( 1 )*SQRT( SSQ( 2 ) )
END IF
*
DLANGE = VALUE