numeric-linalg

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*> \brief \b SSCAL
*
*  =========== DOCUMENTATION ===========
*
* Online html documentation available at
*            http://www.netlib.org/lapack/explore-html/
*
*  Definition:
*  ===========
*
*       SUBROUTINE SSCAL(N,SA,SX,INCX)
*
*       .. Scalar Arguments ..
*       REAL SA
*       INTEGER INCX,N
*       ..
*       .. Array Arguments ..
*       REAL SX(*)
*       ..
*
*
*> \par Purpose:
*  =============
*>
*> \verbatim
*>
*>    SSCAL scales a vector by a constant.
*>    uses unrolled loops for increment equal to 1.
*> \endverbatim
*
*  Arguments:
*  ==========
*
*> \param[in] N
*> \verbatim
*>          N is INTEGER
*>         number of elements in input vector(s)
*> \endverbatim
*>
*> \param[in] SA
*> \verbatim
*>          SA is REAL
*>           On entry, SA specifies the scalar alpha.
*> \endverbatim
*>
*> \param[in,out] SX
*> \verbatim
*>          SX is REAL array, dimension ( 1 + ( N - 1 )*abs( INCX ) )
*> \endverbatim
*>
*> \param[in] INCX
*> \verbatim
*>          INCX is INTEGER
*>         storage spacing between elements of SX
*> \endverbatim
*
*  Authors:
*  ========
*
*> \author Univ. of Tennessee
*> \author Univ. of California Berkeley
*> \author Univ. of Colorado Denver
*> \author NAG Ltd.
*
*> \ingroup scal
*
*> \par Further Details:
*  =====================
*>
*> \verbatim
*>
*>     jack dongarra, linpack, 3/11/78.
*>     modified 3/93 to return if incx .le. 0.
*>     modified 12/3/93, array(1) declarations changed to array(*)
*> \endverbatim
*>
*  =====================================================================
      SUBROUTINE SSCAL(N,SA,SX,INCX)
*
*  -- Reference BLAS level1 routine --
*  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
*
*     .. Scalar Arguments ..
      REAL SA
      INTEGER INCX,N
*     ..
*     .. Array Arguments ..
      REAL SX(*)
*     ..
*
*  =====================================================================
*
*     .. Local Scalars ..
      INTEGER I,M,MP1,NINCX
*     ..
*     .. Parameters ..
      REAL ONE
      PARAMETER (ONE=1.0E+0)
*     ..
*     .. Intrinsic Functions ..
      INTRINSIC MOD
*     ..
      IF (N.LE.0 .OR. INCX.LE.0 .OR. SA.EQ.ONE) RETURN
      IF (INCX.EQ.1) THEN
*
*        code for increment equal to 1
*
*
*        clean-up loop
*
         M = MOD(N,5)
         IF (M.NE.0) THEN
            DO I = 1,M
               SX(I) = SA*SX(I)
            END DO
            IF (N.LT.5) RETURN
         END IF
         MP1 = M + 1
         DO I = MP1,N,5
            SX(I) = SA*SX(I)
            SX(I+1) = SA*SX(I+1)
            SX(I+2) = SA*SX(I+2)
            SX(I+3) = SA*SX(I+3)
            SX(I+4) = SA*SX(I+4)
         END DO
      ELSE
*
*        code for increment not equal to 1
*
         NINCX = N*INCX
         DO I = 1,NINCX,INCX
            SX(I) = SA*SX(I)
         END DO
      END IF
      RETURN
*
*     End of SSCAL
*
      END