version 1.18, 2020/05/21 21:45:59
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version 1.19, 2023/08/07 08:38:54
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*> \author Univ. of Colorado Denver |
*> \author Univ. of Colorado Denver |
*> \author NAG Ltd. |
*> \author NAG Ltd. |
* |
* |
*> \date December 2016 |
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* |
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*> \ingroup doubleGEauxiliary |
*> \ingroup doubleGEauxiliary |
* |
* |
* ===================================================================== |
* ===================================================================== |
DOUBLE PRECISION FUNCTION DLANGE( NORM, M, N, A, LDA, WORK ) |
DOUBLE PRECISION FUNCTION DLANGE( NORM, M, N, A, LDA, WORK ) |
* |
* |
* -- LAPACK auxiliary routine (version 3.7.0) -- |
* -- LAPACK auxiliary routine -- |
* -- 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..-- |
* December 2016 |
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* |
* |
IMPLICIT NONE |
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* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
CHARACTER NORM |
CHARACTER NORM |
INTEGER LDA, M, N |
INTEGER LDA, M, N |
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* .. |
* .. |
* .. Local Scalars .. |
* .. Local Scalars .. |
INTEGER I, J |
INTEGER I, J |
DOUBLE PRECISION SUM, VALUE, TEMP |
DOUBLE PRECISION SCALE, SUM, VALUE, TEMP |
* .. |
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* .. Local Arrays .. |
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DOUBLE PRECISION SSQ( 2 ), COLSSQ( 2 ) |
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* .. |
* .. |
* .. External Subroutines .. |
* .. External Subroutines .. |
EXTERNAL DLASSQ, DCOMBSSQ |
EXTERNAL DLASSQ |
* .. |
* .. |
* .. External Functions .. |
* .. External Functions .. |
LOGICAL LSAME, DISNAN |
LOGICAL LSAME, DISNAN |
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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 |
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* SSQ(2) is sum-of-squares |
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* For better accuracy, sum each column separately. |
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* |
* |
SSQ( 1 ) = ZERO |
SCALE = ZERO |
SSQ( 2 ) = ONE |
SUM = ONE |
DO 90 J = 1, N |
DO 90 J = 1, N |
COLSSQ( 1 ) = ZERO |
CALL DLASSQ( M, A( 1, J ), 1, SCALE, SUM ) |
COLSSQ( 2 ) = ONE |
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CALL DLASSQ( M, A( 1, J ), 1, COLSSQ( 1 ), COLSSQ( 2 ) ) |
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CALL DCOMBSSQ( SSQ, COLSSQ ) |
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90 CONTINUE |
90 CONTINUE |
VALUE = SSQ( 1 )*SQRT( SSQ( 2 ) ) |
VALUE = SCALE*SQRT( SUM ) |
END IF |
END IF |
* |
* |
DLANGE = VALUE |
DLANGE = VALUE |