version 1.8, 2011/11/21 20:43:17
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version 1.18, 2020/05/21 21:46:09
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*> \brief \b ZLASSQ |
*> \brief \b ZLASSQ updates a sum of squares represented in scaled form. |
* |
* |
* =========== 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 ZLASSQ + dependencies |
*> Download ZLASSQ + dependencies |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlassq.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/zlassq.f"> |
*> [TGZ]</a> |
*> [TGZ]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlassq.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/zlassq.f"> |
*> [ZIP]</a> |
*> [ZIP]</a> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlassq.f"> |
*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/zlassq.f"> |
*> [TXT]</a> |
*> [TXT]</a> |
*> \endhtmlonly |
*> \endhtmlonly |
* |
* |
* Definition: |
* Definition: |
* =========== |
* =========== |
* |
* |
* SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ ) |
* SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ ) |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
* INTEGER INCX, N |
* INTEGER INCX, N |
* DOUBLE PRECISION SCALE, SUMSQ |
* DOUBLE PRECISION SCALE, SUMSQ |
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* .. Array Arguments .. |
* .. Array Arguments .. |
* COMPLEX*16 X( * ) |
* COMPLEX*16 X( * ) |
* .. |
* .. |
* |
* |
* |
* |
*> \par Purpose: |
*> \par Purpose: |
* ============= |
* ============= |
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*> where x( i ) = abs( X( 1 + ( i - 1 )*INCX ) ). The value of sumsq is |
*> where x( i ) = abs( X( 1 + ( i - 1 )*INCX ) ). The value of sumsq is |
*> assumed to be at least unity and the value of ssq will then satisfy |
*> assumed to be at least unity and the value of ssq will then satisfy |
*> |
*> |
*> 1.0 .le. ssq .le. ( sumsq + 2*n ). |
*> 1.0 <= ssq <= ( sumsq + 2*n ). |
*> |
*> |
*> scale is assumed to be non-negative and scl returns the value |
*> scale is assumed to be non-negative and scl returns the value |
*> |
*> |
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*> |
*> |
*> \param[in] X |
*> \param[in] X |
*> \verbatim |
*> \verbatim |
*> X is COMPLEX*16 array, dimension (N) |
*> X is COMPLEX*16 array, dimension (1+(N-1)*INCX) |
*> The vector x as described above. |
*> The vector x as described above. |
*> x( i ) = X( 1 + ( i - 1 )*INCX ), 1 <= i <= n. |
*> x( i ) = X( 1 + ( i - 1 )*INCX ), 1 <= i <= n. |
*> \endverbatim |
*> \endverbatim |
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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 2011 |
*> \date December 2016 |
* |
* |
*> \ingroup complex16OTHERauxiliary |
*> \ingroup complex16OTHERauxiliary |
* |
* |
* ===================================================================== |
* ===================================================================== |
SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ ) |
SUBROUTINE ZLASSQ( N, X, INCX, SCALE, SUMSQ ) |
* |
* |
* -- LAPACK auxiliary routine (version 3.4.0) -- |
* -- 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 2011 |
* December 2016 |
* |
* |
* .. Scalar Arguments .. |
* .. Scalar Arguments .. |
INTEGER INCX, N |
INTEGER INCX, N |
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INTEGER IX |
INTEGER IX |
DOUBLE PRECISION TEMP1 |
DOUBLE PRECISION TEMP1 |
* .. |
* .. |
|
* .. External Functions .. |
|
LOGICAL DISNAN |
|
EXTERNAL DISNAN |
|
* .. |
* .. Intrinsic Functions .. |
* .. Intrinsic Functions .. |
INTRINSIC ABS, DBLE, DIMAG |
INTRINSIC ABS, DBLE, DIMAG |
* .. |
* .. |
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* |
* |
IF( N.GT.0 ) THEN |
IF( N.GT.0 ) THEN |
DO 10 IX = 1, 1 + ( N-1 )*INCX, INCX |
DO 10 IX = 1, 1 + ( N-1 )*INCX, INCX |
IF( DBLE( X( IX ) ).NE.ZERO ) THEN |
TEMP1 = ABS( DBLE( X( IX ) ) ) |
TEMP1 = ABS( DBLE( X( IX ) ) ) |
IF( TEMP1.GT.ZERO.OR.DISNAN( TEMP1 ) ) THEN |
IF( SCALE.LT.TEMP1 ) THEN |
IF( SCALE.LT.TEMP1 ) THEN |
SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2 |
SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2 |
SCALE = TEMP1 |
SCALE = TEMP1 |
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SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2 |
SUMSQ = SUMSQ + ( TEMP1 / SCALE )**2 |
END IF |
END IF |
END IF |
END IF |
IF( DIMAG( X( IX ) ).NE.ZERO ) THEN |
TEMP1 = ABS( DIMAG( X( IX ) ) ) |
TEMP1 = ABS( DIMAG( X( IX ) ) ) |
IF( TEMP1.GT.ZERO.OR.DISNAN( TEMP1 ) ) THEN |
IF( SCALE.LT.TEMP1 ) THEN |
IF( SCALE.LT.TEMP1 ) THEN |
SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2 |
SUMSQ = 1 + SUMSQ*( SCALE / TEMP1 )**2 |
SCALE = TEMP1 |
SCALE = TEMP1 |