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*> \brief \b SDSDOT
*
* =========== DOCUMENTATION ===========
*
* Online html documentation available at
* http://www.netlib.org/lapack/explore-html/
*
* Definition:
* ===========
*
* REAL FUNCTION SDSDOT(N,SB,SX,INCX,SY,INCY)
*
* .. Scalar Arguments ..
* REAL SB
* INTEGER INCX,INCY,N
* ..
* .. Array Arguments ..
* REAL SX(*),SY(*)
* ..
*
*> \par Purpose:
* =============
*>
*> \verbatim
*>
* Compute the inner product of two vectors with extended
* precision accumulation.
*
* Returns S.P. result with dot product accumulated in D.P.
* SDSDOT = SB + sum for I = 0 to N-1 of SX(LX+I*INCX)*SY(LY+I*INCY),
* where LX = 1 if INCX .GE. 0, else LX = 1+(1-N)*INCX, and LY is
* defined in a similar way using INCY.
*> \endverbatim
*
* Arguments:
* ==========
*
*> \param[in] N
*> \verbatim
*> N is INTEGER
*> number of elements in input vector(s)
*> \endverbatim
*>
*> \param[in] SB
*> \verbatim
*> SB is REAL
*> single precision scalar to be added to inner product
*> \endverbatim
*>
*> \param[in] SX
*> \verbatim
*> SX is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
*> single precision vector with N elements
*> \endverbatim
*>
*> \param[in] INCX
*> \verbatim
*> INCX is INTEGER
*> storage spacing between elements of SX
*> \endverbatim
*>
*> \param[in] SY
*> \verbatim
*> SY is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
*> single precision vector with N elements
*> \endverbatim
*>
*> \param[in] INCY
*> \verbatim
*> INCY is INTEGER
*> storage spacing between elements of SY
*> \endverbatim
*
* Authors:
* ========
*
*> \author Lawson, C. L., (JPL), Hanson, R. J., (SNLA),
*> \author Kincaid, D. R., (U. of Texas), Krogh, F. T., (JPL)
*
*> \ingroup complex_blas_level1
*
*> \par Further Details:
* =====================
*>
*> \verbatim
*>
*> REFERENCES
*>
*> C. L. Lawson, R. J. Hanson, D. R. Kincaid and F. T.
*> Krogh, Basic linear algebra subprograms for Fortran
*> usage, Algorithm No. 539, Transactions on Mathematical
*> Software 5, 3 (September 1979), pp. 308-323.
*>
*> REVISION HISTORY (YYMMDD)
*>
*> 791001 DATE WRITTEN
*> 890531 Changed all specific intrinsics to generic. (WRB)
*> 890831 Modified array declarations. (WRB)
*> 890831 REVISION DATE from Version 3.2
*> 891214 Prologue converted to Version 4.0 format. (BAB)
*> 920310 Corrected definition of LX in DESCRIPTION. (WRB)
*> 920501 Reformatted the REFERENCES section. (WRB)
*> 070118 Reformat to LAPACK coding style
*> \endverbatim
*
* =====================================================================
*
* .. Local Scalars ..
* DOUBLE PRECISION DSDOT
* INTEGER I,KX,KY,NS
* ..
* .. Intrinsic Functions ..
* INTRINSIC DBLE
* ..
* DSDOT = SB
* IF (N.LE.0) THEN
* SDSDOT = DSDOT
* RETURN
* END IF
* IF (INCX.EQ.INCY .AND. INCX.GT.0) THEN
*
* Code for equal and positive increments.
*
* NS = N*INCX
* DO I = 1,NS,INCX
* DSDOT = DSDOT + DBLE(SX(I))*DBLE(SY(I))
* END DO
* ELSE
*
* Code for unequal or nonpositive increments.
*
* KX = 1
* KY = 1
* IF (INCX.LT.0) KX = 1 + (1-N)*INCX
* IF (INCY.LT.0) KY = 1 + (1-N)*INCY
* DO I = 1,N
* DSDOT = DSDOT + DBLE(SX(KX))*DBLE(SY(KY))
* KX = KX + INCX
* KY = KY + INCY
* END DO
* END IF
* SDSDOT = DSDOT
* RETURN
* END
*
*> \par Purpose:
* =============
*>
*> \verbatim
*> \endverbatim
*
* Authors:
* ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \date December 2016
*
*> \ingroup single_blas_level1
*
* =====================================================================
REAL FUNCTION SDSDOT(N,SB,SX,INCX,SY,INCY)
*
* -- Reference BLAS level1 routine (version 3.7.0) --
* -- Reference BLAS is a software package provided by Univ. of Tennessee, --
* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
* December 2016
*
* .. Scalar Arguments ..
REAL SB
INTEGER INCX,INCY,N
* ..
* .. Array Arguments ..
REAL SX(*),SY(*)
* ..
*
* PURPOSE
* =======
*
* Compute the inner product of two vectors with extended
* precision accumulation.
*
* Returns S.P. result with dot product accumulated in D.P.
* SDSDOT = SB + sum for I = 0 to N-1 of SX(LX+I*INCX)*SY(LY+I*INCY),
* where LX = 1 if INCX .GE. 0, else LX = 1+(1-N)*INCX, and LY is
* defined in a similar way using INCY.
*
* AUTHOR
* ======
* Lawson, C. L., (JPL), Hanson, R. J., (SNLA),
* Kincaid, D. R., (U. of Texas), Krogh, F. T., (JPL)
*
* ARGUMENTS
* =========
*
* N (input) INTEGER
* number of elements in input vector(s)
*
* SB (input) REAL
* single precision scalar to be added to inner product
*
* SX (input) REAL array, dimension (N)
* single precision vector with N elements
*
* INCX (input) INTEGER
* storage spacing between elements of SX
*
* SY (input) REAL array, dimension (N)
* single precision vector with N elements
*
* INCY (input) INTEGER
* storage spacing between elements of SY
*
* SDSDOT (output) REAL
* single precision dot product (SB if N .LE. 0)
*
* Further Details
* ===============
*
* REFERENCES
*
* C. L. Lawson, R. J. Hanson, D. R. Kincaid and F. T.
* Krogh, Basic linear algebra subprograms for Fortran
* usage, Algorithm No. 539, Transactions on Mathematical
* Software 5, 3 (September 1979), pp. 308-323.
*
* REVISION HISTORY (YYMMDD)
*
* 791001 DATE WRITTEN
* 890531 Changed all specific intrinsics to generic. (WRB)
* 890831 Modified array declarations. (WRB)
* 890831 REVISION DATE from Version 3.2
* 891214 Prologue converted to Version 4.0 format. (BAB)
* 920310 Corrected definition of LX in DESCRIPTION. (WRB)
* 920501 Reformatted the REFERENCES section. (WRB)
* 070118 Reformat to LAPACK coding style
*
* =====================================================================
*
* .. Local Scalars ..
DOUBLE PRECISION DSDOT
INTEGER I,KX,KY,NS
* ..
* .. Intrinsic Functions ..
INTRINSIC DBLE
* ..
DSDOT = SB
IF (N.LE.0) THEN
SDSDOT = DSDOT
RETURN
END IF
IF (INCX.EQ.INCY .AND. INCX.GT.0) THEN
*
* Code for equal and positive increments.
*
NS = N*INCX
DO I = 1,NS,INCX
DSDOT = DSDOT + DBLE(SX(I))*DBLE(SY(I))
END DO
ELSE
*
* Code for unequal or nonpositive increments.
*
KX = 1
KY = 1
IF (INCX.LT.0) KX = 1 + (1-N)*INCX
IF (INCY.LT.0) KY = 1 + (1-N)*INCY
DO I = 1,N
DSDOT = DSDOT + DBLE(SX(KX))*DBLE(SY(KY))
KX = KX + INCX
KY = KY + INCY
END DO
END IF
SDSDOT = DSDOT
RETURN
END
|
