subroutine vectorrotation(vectold,tranmatrix,vectnew)
      implicit none
!transform the three components of a vector from an old coordinate 
!system to an new coordinate system defined by the rotation matrix tranmatrix
!tranmatrix(i,j): ith row, jth column
      double precision vectold(3),tranmatrix(3,3),vectnew(3)
      integer i,j
      do i=1,3
        vectnew(i)=0.0d0
        do j=1,3
          vectnew(i)=vectnew(i)+
     &      tranmatrix(i,j)*vectold(j)
        enddo
      enddo
      end subroutine vectorrotation