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zef(m, n, x, fvec, iflag) + integer(4), intent(in) :: m,n + real(8), dimension(:), intent(in) :: x + real(8), dimension(:), intent(inout) :: fvec + integer(4), intent(inout) :: iflag + end subroutine + end interface + + + integer,parameter :: npoints=13,deg=3 + integer :: status,i + real(kind=dp_kind) :: xstep,xc,yc + real(kind=dp_kind) :: coeff(deg+1) + real(kind=dp_kind) :: fvec(npoints) + integer(4) :: iwa(deg+1) + integer(4) :: info + real(8) :: tol + + allocate(xm(npoints),ym(npoints)) + + xm = (/ -3.8,-2.7,-2.2,-1.9,-1.1,-0.7,0.5,1.7,2.,2.8,3.2,3.8,4. /) + ym = (/ -3.1,-2.,-0.9,0.8,1.8,0.4,2.1,1.8,3.2,2.8,3.9,5.2,7.5 /) + open(2,file='fvn_lsp_double_mesure.dat') + open(3,file='fvn_lm.dat') + do i=1,npoints + write(2,44) xm(i),ym(i) + end do + close(2) + + coeff=1. + call fvn_lm(zef,npoints,deg+1,coeff,info) + write(*,*) "info : ",info + + xstep=(xm(npoints)-xm(1))/1000. + do i=1,1000 + xc=xm(1)+(i-1)*xstep + yc=poly(xc,coeff) + write(3,44) xc,yc + end do + close(3) +write(*,*) "All done, plot results with gnuplot using command :" +write(*,*) "pl 'fvn_lsp_double_mesure.dat' u 1:2 w p,'fvn_lm.dat' u 1:2 w l" +44 FORMAT(4(1X,1PE22.14)) +contains +function poly(x,coeff) + use fvn_common + implicit none + real(kind=dp_kind) :: x + real(kind=dp_kind) :: coeff(deg+1) + real(kind=dp_kind) :: poly + integer :: i + poly=0. + do i=1,deg+1 + poly=poly+coeff(i)*x**(i-1) + end do +end function +end program +subroutine zef(m, n, x, fvec, iflag) + use excursion + implicit none + integer(4), intent(in) :: m,n + real(8), dimension(:), intent(in) :: x + real(8), dimension(:), intent(inout) :: fvec + integer(4), intent(inout) :: iflag + + integer(4) :: i + + do i=1,m + fvec(i)=ym(i)-(x(1)+x(2)*xm(i)+x(3)*xm(i)**2+x(4)*xm(i)**3) + enddo +end subroutine +\end{verbatim} +Note the need to use a supplementary module \verb'excursion', to allow the subroutine \verb'zef' to have access to the measurement points. \section{Zero finding} -fvn provide a routine for finding zeros of a complex function using Muller algorithm (only for double complex type). It is based on a version provided on the web by Hans D Mittelmann \url{http://plato.asu.edu/ftp/other\_software/muller.f}. +fvn provides a routine for finding zeros of a complex function using Muller algorithm (only for double complex type). It is based on a version provided on the web by Hans D Mittelmann \url{http://plato.asu.edu/ftp/other\_software/muller.f}. \begin{verbatim} Module : use fvn_misc