172 lines
4.2 KiB
Fortran
172 lines
4.2 KiB
Fortran
*> \brief \b CSRSCL multiplies a vector by the reciprocal of a real scalar.
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*
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* =========== DOCUMENTATION ===========
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*
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* Online html documentation available at
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* http://www.netlib.org/lapack/explore-html/
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*
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*> \htmlonly
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*> Download CSRSCL + dependencies
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/csrscl.f">
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*> [TGZ]</a>
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/csrscl.f">
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*> [ZIP]</a>
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*> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/csrscl.f">
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*> [TXT]</a>
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*> \endhtmlonly
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*
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* Definition:
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* ===========
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*
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* SUBROUTINE CSRSCL( N, SA, SX, INCX )
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*
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* .. Scalar Arguments ..
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* INTEGER INCX, N
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* REAL SA
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* ..
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* .. Array Arguments ..
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* COMPLEX SX( * )
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* ..
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*
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*
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*> \par Purpose:
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* =============
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*>
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*> \verbatim
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*>
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*> CSRSCL multiplies an n-element complex vector x by the real scalar
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*> 1/a. This is done without overflow or underflow as long as
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*> the final result x/a does not overflow or underflow.
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*> \endverbatim
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*
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* Arguments:
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* ==========
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*
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*> \param[in] N
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*> \verbatim
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*> N is INTEGER
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*> The number of components of the vector x.
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*> \endverbatim
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*>
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*> \param[in] SA
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*> \verbatim
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*> SA is REAL
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*> The scalar a which is used to divide each component of x.
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*> SA must be >= 0, or the subroutine will divide by zero.
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*> \endverbatim
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*>
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*> \param[in,out] SX
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*> \verbatim
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*> SX is COMPLEX array, dimension
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*> (1+(N-1)*abs(INCX))
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*> The n-element vector x.
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*> \endverbatim
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*>
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*> \param[in] INCX
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*> \verbatim
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*> INCX is INTEGER
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*> The increment between successive values of the vector SX.
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*> > 0: SX(1) = X(1) and SX(1+(i-1)*INCX) = x(i), 1< i<= n
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*> \endverbatim
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*
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* Authors:
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* ========
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*
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*> \author Univ. of Tennessee
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*> \author Univ. of California Berkeley
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*> \author Univ. of Colorado Denver
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*> \author NAG Ltd.
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*
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*> \ingroup complexOTHERauxiliary
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*
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* =====================================================================
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SUBROUTINE CSRSCL( N, SA, SX, INCX )
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*
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* -- LAPACK auxiliary routine --
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* -- LAPACK is a software package provided by Univ. of Tennessee, --
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* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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*
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* .. Scalar Arguments ..
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INTEGER INCX, N
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REAL SA
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* ..
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* .. Array Arguments ..
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COMPLEX SX( * )
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* ..
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*
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* =====================================================================
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*
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* .. Parameters ..
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REAL ZERO, ONE
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PARAMETER ( ZERO = 0.0E+0, ONE = 1.0E+0 )
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* ..
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* .. Local Scalars ..
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LOGICAL DONE
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REAL BIGNUM, CDEN, CDEN1, CNUM, CNUM1, MUL, SMLNUM
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* ..
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* .. External Functions ..
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REAL SLAMCH
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EXTERNAL SLAMCH
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* ..
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* .. External Subroutines ..
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EXTERNAL CSSCAL, SLABAD
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* ..
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* .. Intrinsic Functions ..
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INTRINSIC ABS
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* ..
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* .. Executable Statements ..
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*
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* Quick return if possible
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*
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IF( N.LE.0 )
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$ RETURN
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*
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* Get machine parameters
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*
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SMLNUM = SLAMCH( 'S' )
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BIGNUM = ONE / SMLNUM
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CALL SLABAD( SMLNUM, BIGNUM )
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*
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* Initialize the denominator to SA and the numerator to 1.
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*
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CDEN = SA
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CNUM = ONE
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*
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10 CONTINUE
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CDEN1 = CDEN*SMLNUM
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CNUM1 = CNUM / BIGNUM
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IF( ABS( CDEN1 ).GT.ABS( CNUM ) .AND. CNUM.NE.ZERO ) THEN
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*
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* Pre-multiply X by SMLNUM if CDEN is large compared to CNUM.
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*
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MUL = SMLNUM
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DONE = .FALSE.
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CDEN = CDEN1
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ELSE IF( ABS( CNUM1 ).GT.ABS( CDEN ) ) THEN
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*
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* Pre-multiply X by BIGNUM if CDEN is small compared to CNUM.
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*
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MUL = BIGNUM
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DONE = .FALSE.
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CNUM = CNUM1
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ELSE
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*
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* Multiply X by CNUM / CDEN and return.
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*
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MUL = CNUM / CDEN
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DONE = .TRUE.
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END IF
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*
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* Scale the vector X by MUL
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*
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CALL CSSCAL( N, MUL, SX, INCX )
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*
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IF( .NOT.DONE )
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$ GO TO 10
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*
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RETURN
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*
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* End of CSRSCL
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*
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END
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