dger.F90 Source File


Source Code

#include "ESMF_LapackBlas.inc"
!> \brief \b DGER
!
!  =========== DOCUMENTATION ===========
!
! Online html documentation available at
!            http://www.netlib.org/lapack/explore-html/
!
!  Definition:
!  ===========
!
!       SUBROUTINE DGER(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
!
!       .. Scalar Arguments ..
!       DOUBLE PRECISION ALPHA
!       INTEGER INCX,INCY,LDA,M,N
!       ..
!       .. Array Arguments ..
!       DOUBLE PRECISION A(LDA,*),X(*),Y(*)
!       ..
!
!
!> \par Purpose:
!  =============
!>
!> \verbatim
!>
!> DGER   performs the rank 1 operation
!>
!>    A := alpha*x*y**T + A,
!>
!> where alpha is a scalar, x is an m element vector, y is an n element
!> vector and A is an m by n matrix.
!> \endverbatim
!
!  Arguments:
!  ==========
!
!> \param[in] M
!> \verbatim
!>          M is INTEGER
!>           On entry, M specifies the number of rows of the matrix A.
!>           M must be at least zero.
!> \endverbatim
!>
!> \param[in] N
!> \verbatim
!>          N is INTEGER
!>           On entry, N specifies the number of columns of the matrix A.
!>           N must be at least zero.
!> \endverbatim
!>
!> \param[in] ALPHA
!> \verbatim
!>          ALPHA is DOUBLE PRECISION.
!>           On entry, ALPHA specifies the scalar alpha.
!> \endverbatim
!>
!> \param[in] X
!> \verbatim
!>          X is DOUBLE PRECISION array of dimension at least
!>           ( 1 + ( m - 1 )*abs( INCX ) ).
!>           Before entry, the incremented array X must contain the m
!>           element vector x.
!> \endverbatim
!>
!> \param[in] INCX
!> \verbatim
!>          INCX is INTEGER
!>           On entry, INCX specifies the increment for the elements of
!>           X. INCX must not be zero.
!> \endverbatim
!>
!> \param[in] Y
!> \verbatim
!>          Y is DOUBLE PRECISION array of dimension at least
!>           ( 1 + ( n - 1 )*abs( INCY ) ).
!>           Before entry, the incremented array Y must contain the n
!>           element vector y.
!> \endverbatim
!>
!> \param[in] INCY
!> \verbatim
!>          INCY is INTEGER
!>           On entry, INCY specifies the increment for the elements of
!>           Y. INCY must not be zero.
!> \endverbatim
!>
!> \param[in,out] A
!> \verbatim
!>          A is DOUBLE PRECISION array of DIMENSION ( LDA, n ).
!>           Before entry, the leading m by n part of the array A must
!>           contain the matrix of coefficients. On exit, A is
!>           overwritten by the updated matrix.
!> \endverbatim
!>
!> \param[in] LDA
!> \verbatim
!>          LDA is INTEGER
!>           On entry, LDA specifies the first dimension of A as declared
!>           in the calling (sub) program. LDA must be at least
!>           max( 1, m ).
!> \endverbatim
!
!  Authors:
!  ========
!
!> \author Univ. of Tennessee
!> \author Univ. of California Berkeley
!> \author Univ. of Colorado Denver
!> \author NAG Ltd.
!
!> \date November 2011
!
!> \ingroup double_blas_level2
!
!> \par Further Details:
!  =====================
!>
!> \verbatim
!>
!>  Level 2 Blas routine.
!>
!>  -- Written on 22-October-1986.
!>     Jack Dongarra, Argonne National Lab.
!>     Jeremy Du Croz, Nag Central Office.
!>     Sven Hammarling, Nag Central Office.
!>     Richard Hanson, Sandia National Labs.
!> \endverbatim
!>
!  =====================================================================
      SUBROUTINE DGER(M,N,ALPHA,X,INCX,Y,INCY,A,LDA)
!
!  -- Reference BLAS level2 routine (version 3.4.0) --
!  -- Reference BLAS is a software package provided by Univ. of Tennessee,    --
!  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
!     November 2011
!
!     .. Scalar Arguments ..
      DOUBLE PRECISION ALPHA
      INTEGER INCX,INCY,LDA,M,N
!     ..
!     .. Array Arguments ..
      DOUBLE PRECISION A(LDA,*),X(*),Y(*)
!     ..
!
!  =====================================================================
!
!     .. Parameters ..
      DOUBLE PRECISION ZERO
      PARAMETER (ZERO=0.0D+0)
!     ..
!     .. Local Scalars ..
      DOUBLE PRECISION TEMP
      INTEGER I,INFO,IX,J,JY,KX
!     ..
!     .. External Subroutines ..
      EXTERNAL XERBLA
!     ..
!     .. Intrinsic Functions ..
      INTRINSIC MAX
!     ..
!
!     Test the input parameters.
!
      INFO = 0
      IF (M.LT.0) THEN
          INFO = 1
      ELSE IF (N.LT.0) THEN
          INFO = 2
      ELSE IF (INCX.EQ.0) THEN
          INFO = 5
      ELSE IF (INCY.EQ.0) THEN
          INFO = 7
      ELSE IF (LDA.LT.MAX(1,M)) THEN
          INFO = 9
      END IF
      IF (INFO.NE.0) THEN
          CALL XERBLA('DGER  ',INFO)
          RETURN
      END IF
!
!     Quick return if possible.
!
      IF ((M.EQ.0) .OR. (N.EQ.0) .OR. (ALPHA.EQ.ZERO)) RETURN
!
!     Start the operations. In this version the elements of A are
!     accessed sequentially with one pass through A.
!
      IF (INCY.GT.0) THEN
          JY = 1
      ELSE
          JY = 1 - (N-1)*INCY
      END IF
      IF (INCX.EQ.1) THEN
          DO 20 J = 1,N
              IF (Y(JY).NE.ZERO) THEN
                  TEMP = ALPHA*Y(JY)
                  DO 10 I = 1,M
                      A(I,J) = A(I,J) + X(I)*TEMP
   10             CONTINUE
              END IF
              JY = JY + INCY
   20     CONTINUE
      ELSE
          IF (INCX.GT.0) THEN
              KX = 1
          ELSE
              KX = 1 - (M-1)*INCX
          END IF
          DO 40 J = 1,N
              IF (Y(JY).NE.ZERO) THEN
                  TEMP = ALPHA*Y(JY)
                  IX = KX
                  DO 30 I = 1,M
                      A(I,J) = A(I,J) + X(IX)*TEMP
                      IX = IX + INCX
   30             CONTINUE
              END IF
              JY = JY + INCY
   40     CONTINUE
      END IF
!
      RETURN
!
!     End of DGER  .
!
      END