version 1.13, 2014/01/27 09:28:20
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version 1.18, 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 DLANTR + dependencies |
*> Download DLANTR + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlantr.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlantr.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlantr.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlantr.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlantr.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlantr.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* DOUBLE PRECISION FUNCTION DLANTR( NORM, UPLO, DIAG, M, N, A, LDA, |
* DOUBLE PRECISION FUNCTION DLANTR( NORM, UPLO, DIAG, M, N, A, LDA, |
* WORK ) |
* WORK ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* CHARACTER DIAG, NORM, UPLO |
* CHARACTER DIAG, NORM, UPLO |
* INTEGER LDA, M, N |
* INTEGER LDA, M, 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 September 2012 |
*> \date December 2016 |
* |
* |
*> \ingroup doubleOTHERauxiliary |
*> \ingroup doubleOTHERauxiliary |
* |
* |
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DOUBLE PRECISION FUNCTION DLANTR( NORM, UPLO, DIAG, M, N, A, LDA, |
DOUBLE PRECISION FUNCTION DLANTR( NORM, UPLO, DIAG, M, N, A, LDA, |
$ WORK ) |
$ 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, -- |
* -- 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..-- |
* September 2012 |
* December 2016 |
* |
* |
|
IMPLICIT NONE |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER DIAG, NORM, UPLO |
CHARACTER DIAG, NORM, UPLO |
INTEGER LDA, M, N |
INTEGER LDA, M, N |
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* .. Local Scalars .. |
* .. Local Scalars .. |
LOGICAL UDIAG |
LOGICAL UDIAG |
INTEGER I, J |
INTEGER I, J |
DOUBLE PRECISION SCALE, SUM, VALUE |
DOUBLE PRECISION 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, MIN, SQRT |
INTRINSIC ABS, MIN, 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). |
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* SSQ(1) is scale |
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* SSQ(2) is sum-of-squares |
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* For better accuracy, sum each column separately. |
* |
* |
IF( LSAME( UPLO, 'U' ) ) THEN |
IF( LSAME( UPLO, 'U' ) ) THEN |
IF( LSAME( DIAG, 'U' ) ) THEN |
IF( LSAME( DIAG, 'U' ) ) THEN |
SCALE = ONE |
SSQ( 1 ) = ONE |
SUM = MIN( M, N ) |
SSQ( 2 ) = MIN( M, N ) |
DO 290 J = 2, N |
DO 290 J = 2, N |
CALL DLASSQ( MIN( M, J-1 ), A( 1, J ), 1, SCALE, SUM ) |
COLSSQ( 1 ) = ZERO |
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COLSSQ( 2 ) = ONE |
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CALL DLASSQ( MIN( M, J-1 ), A( 1, J ), 1, |
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$ COLSSQ( 1 ), COLSSQ( 2 ) ) |
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CALL DCOMBSSQ( SSQ, COLSSQ ) |
290 CONTINUE |
290 CONTINUE |
ELSE |
ELSE |
SCALE = ZERO |
SSQ( 1 ) = ZERO |
SUM = ONE |
SSQ( 2 ) = ONE |
DO 300 J = 1, N |
DO 300 J = 1, N |
CALL DLASSQ( MIN( M, J ), A( 1, J ), 1, SCALE, SUM ) |
COLSSQ( 1 ) = ZERO |
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COLSSQ( 2 ) = ONE |
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CALL DLASSQ( MIN( M, J ), A( 1, J ), 1, |
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$ COLSSQ( 1 ), COLSSQ( 2 ) ) |
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CALL DCOMBSSQ( SSQ, COLSSQ ) |
300 CONTINUE |
300 CONTINUE |
END IF |
END IF |
ELSE |
ELSE |
IF( LSAME( DIAG, 'U' ) ) THEN |
IF( LSAME( DIAG, 'U' ) ) THEN |
SCALE = ONE |
SSQ( 1 ) = ONE |
SUM = MIN( M, N ) |
SSQ( 2 ) = MIN( M, N ) |
DO 310 J = 1, N |
DO 310 J = 1, N |
CALL DLASSQ( M-J, A( MIN( M, J+1 ), J ), 1, SCALE, |
COLSSQ( 1 ) = ZERO |
$ SUM ) |
COLSSQ( 2 ) = ONE |
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CALL DLASSQ( M-J, A( MIN( M, J+1 ), J ), 1, |
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$ COLSSQ( 1 ), COLSSQ( 2 ) ) |
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CALL DCOMBSSQ( SSQ, COLSSQ ) |
310 CONTINUE |
310 CONTINUE |
ELSE |
ELSE |
SCALE = ZERO |
SSQ( 1 ) = ZERO |
SUM = ONE |
SSQ( 2 ) = ONE |
DO 320 J = 1, N |
DO 320 J = 1, N |
CALL DLASSQ( M-J+1, A( J, J ), 1, SCALE, SUM ) |
COLSSQ( 1 ) = ZERO |
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COLSSQ( 2 ) = ONE |
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CALL DLASSQ( M-J+1, A( J, J ), 1, |
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$ COLSSQ( 1 ), COLSSQ( 2 ) ) |
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CALL DCOMBSSQ( SSQ, COLSSQ ) |
320 CONTINUE |
320 CONTINUE |
END IF |
END IF |
END IF |
END IF |
VALUE = SCALE*SQRT( SUM ) |
VALUE = SSQ( 1 )*SQRT( SSQ( 2 ) ) |
END IF |
END IF |
* |
* |
DLANTR = VALUE |
DLANTR = VALUE |