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version 1.15, 2016/08/27 15:34:28
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version 1.19, 2020/05/21 21:45:59
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| * |
* |
| * =========== DOCUMENTATION =========== |
* =========== DOCUMENTATION =========== |
| * |
* |
| * Online html documentation available at |
* Online html documentation available at |
| * http://www.netlib.org/lapack/explore-html/ |
* http://www.netlib.org/lapack/explore-html/ |
| * |
* |
| *> \htmlonly |
*> \htmlonly |
| *> Download DLANSY + dependencies |
*> Download DLANSY + dependencies |
| *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlansy.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlansy.f"> |
| *> [TGZ]</a> |
*> [TGZ]</a> |
| *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlansy.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlansy.f"> |
| *> [ZIP]</a> |
*> [ZIP]</a> |
| *> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlansy.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlansy.f"> |
| *> [TXT]</a> |
*> [TXT]</a> |
| *> \endhtmlonly |
*> \endhtmlonly |
| * |
* |
| * Definition: |
* Definition: |
| * =========== |
* =========== |
| * |
* |
| * DOUBLE PRECISION FUNCTION DLANSY( NORM, UPLO, N, A, LDA, WORK ) |
* DOUBLE PRECISION FUNCTION DLANSY( NORM, UPLO, N, A, LDA, WORK ) |
| * |
* |
| * .. Scalar Arguments .. |
* .. Scalar Arguments .. |
| * CHARACTER NORM, UPLO |
* CHARACTER NORM, UPLO |
| * INTEGER LDA, N |
* INTEGER LDA, N |
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| * .. Array Arguments .. |
* .. Array Arguments .. |
| * DOUBLE PRECISION A( LDA, * ), WORK( * ) |
* DOUBLE PRECISION A( LDA, * ), WORK( * ) |
| * .. |
* .. |
| * |
* |
| * |
* |
| *> \par Purpose: |
*> \par Purpose: |
| * ============= |
* ============= |
|
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| * Authors: |
* Authors: |
| * ======== |
* ======== |
| * |
* |
| *> \author Univ. of Tennessee |
*> \author Univ. of Tennessee |
| *> \author Univ. of California Berkeley |
*> \author Univ. of California Berkeley |
| *> \author Univ. of Colorado Denver |
*> \author Univ. of Colorado Denver |
| *> \author NAG Ltd. |
*> \author NAG Ltd. |
| * |
* |
| *> \date November 2015 |
*> \date December 2016 |
| * |
* |
| *> \ingroup doubleSYauxiliary |
*> \ingroup doubleSYauxiliary |
| * |
* |
| * ===================================================================== |
* ===================================================================== |
| DOUBLE PRECISION FUNCTION DLANSY( NORM, UPLO, N, A, LDA, WORK ) |
DOUBLE PRECISION FUNCTION DLANSY( NORM, UPLO, N, A, LDA, WORK ) |
| * |
* |
| * -- LAPACK auxiliary routine (version 3.6.0) -- |
* -- LAPACK auxiliary routine (version 3.7.0) -- |
| * -- LAPACK is a software package provided by Univ. of Tennessee, -- |
* -- LAPACK is a software package provided by Univ. of Tennessee, -- |
| * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- |
| * November 2015 |
* December 2016 |
| * |
* |
| |
IMPLICIT NONE |
| * .. Scalar Arguments .. |
* .. Scalar Arguments .. |
| CHARACTER NORM, UPLO |
CHARACTER NORM, UPLO |
| INTEGER LDA, N |
INTEGER LDA, N |
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| * .. |
* .. |
| * .. Local Scalars .. |
* .. Local Scalars .. |
| INTEGER I, J |
INTEGER I, J |
| DOUBLE PRECISION ABSA, SCALE, SUM, VALUE |
DOUBLE PRECISION ABSA, SUM, VALUE |
| * .. |
* .. |
| * .. External Subroutines .. |
* .. Local Arrays .. |
| EXTERNAL DLASSQ |
DOUBLE PRECISION SSQ( 2 ), COLSSQ( 2 ) |
| * .. |
* .. |
| * .. External Functions .. |
* .. External Functions .. |
| LOGICAL LSAME, DISNAN |
LOGICAL LSAME, DISNAN |
| EXTERNAL LSAME, DISNAN |
EXTERNAL LSAME, DISNAN |
| * .. |
* .. |
| |
* .. External Subroutines .. |
| |
EXTERNAL DLASSQ, DCOMBSSQ |
| |
* .. |
| * .. Intrinsic Functions .. |
* .. Intrinsic Functions .. |
| INTRINSIC ABS, SQRT |
INTRINSIC ABS, SQRT |
| * .. |
* .. |
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| ELSE IF( ( LSAME( NORM, 'F' ) ) .OR. ( LSAME( NORM, 'E' ) ) ) THEN |
ELSE IF( ( LSAME( NORM, 'F' ) ) .OR. ( LSAME( NORM, 'E' ) ) ) THEN |
| * |
* |
| * Find normF(A). |
* Find normF(A). |
| |
* SSQ(1) is scale |
| |
* SSQ(2) is sum-of-squares |
| |
* For better accuracy, sum each column separately. |
| |
* |
| |
SSQ( 1 ) = ZERO |
| |
SSQ( 2 ) = ONE |
| |
* |
| |
* Sum off-diagonals |
| * |
* |
| SCALE = ZERO |
|
| SUM = ONE |
|
| IF( LSAME( UPLO, 'U' ) ) THEN |
IF( LSAME( UPLO, 'U' ) ) THEN |
| DO 110 J = 2, N |
DO 110 J = 2, N |
| CALL DLASSQ( J-1, A( 1, J ), 1, SCALE, SUM ) |
COLSSQ( 1 ) = ZERO |
| |
COLSSQ( 2 ) = ONE |
| |
CALL DLASSQ( J-1, A( 1, J ), 1, COLSSQ(1), COLSSQ(2) ) |
| |
CALL DCOMBSSQ( SSQ, COLSSQ ) |
| 110 CONTINUE |
110 CONTINUE |
| ELSE |
ELSE |
| DO 120 J = 1, N - 1 |
DO 120 J = 1, N - 1 |
| CALL DLASSQ( N-J, A( J+1, J ), 1, SCALE, SUM ) |
COLSSQ( 1 ) = ZERO |
| |
COLSSQ( 2 ) = ONE |
| |
CALL DLASSQ( N-J, A( J+1, J ), 1, COLSSQ(1), COLSSQ(2) ) |
| |
CALL DCOMBSSQ( SSQ, COLSSQ ) |
| 120 CONTINUE |
120 CONTINUE |
| END IF |
END IF |
| SUM = 2*SUM |
SSQ( 2 ) = 2*SSQ( 2 ) |
| CALL DLASSQ( N, A, LDA+1, SCALE, SUM ) |
* |
| VALUE = SCALE*SQRT( SUM ) |
* Sum diagonal |
| |
* |
| |
COLSSQ( 1 ) = ZERO |
| |
COLSSQ( 2 ) = ONE |
| |
CALL DLASSQ( N, A, LDA+1, COLSSQ( 1 ), COLSSQ( 2 ) ) |
| |
CALL DCOMBSSQ( SSQ, COLSSQ ) |
| |
VALUE = SSQ( 1 )*SQRT( SSQ( 2 ) ) |
| END IF |
END IF |
| * |
* |
| DLANSY = VALUE |
DLANSY = VALUE |
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