PROGRAM xchder ! driver for routine chder USE nrtype USE nr IMPLICIT NONE INTEGER(I4B), PARAMETER :: NVAL=40 INTEGER(I4B) :: i,mval REAL(SP) :: a,b,x REAL(SP), DIMENSION(NVAL) :: c,cder INTERFACE FUNCTION func(x) USE nrtype IMPLICIT NONE REAL(SP), DIMENSION(:), INTENT(IN) :: x REAL(SP), DIMENSION(size(x)) :: func END FUNCTION func !BL FUNCTION fder(x) USE nrtype IMPLICIT NONE REAL(SP), INTENT(IN) :: x REAL(SP) :: fder END FUNCTION fder END INTERFACE a=-PIO2/2.0_sp b=PIO2 c(1:NVAL)=chebft(a,b,NVAL,func) ! test derivative do write(*,*) 'How many terms in Chebyshev evaluation?' write(*,'(1x,a,i2,a)') 'Enter n between 6 and ',NVAL,& '. Enter n=0 to END.' read(*,*) mval if ((mval <= 0) .or. (mval > NVAL)) exit cder(1:mval)=chder(a,b,c(1:mval)) write(*,'(1x,t10,a,t19,a,t28,a)') 'X','Actual','Cheby. Deriv.' do i=-5,10 x=i*PIO2/10.0_sp write(*,'(1x,3f12.6)') x,fder(x),chebev(a,b,cder(1:mval),x) end do end do END PROGRAM xchder FUNCTION func(x) USE nrtype IMPLICIT NONE REAL(SP), DIMENSION(:), INTENT(IN) :: x REAL(SP), DIMENSION(size(x)) :: func func=(x**2)*(x**2-3.0_sp*x-2.0_sp)*sin(x) END FUNCTION func FUNCTION fder(x) USE nrtype IMPLICIT NONE REAL(SP), INTENT(IN) :: x REAL(SP) :: fder ! derivative of func fder=x*(4.0_sp*x**2-9.0_sp*x-4.0_sp)*sin(x)+(x**2)*(x**2-3.0_sp*x-2.0_sp)*cos(x) END FUNCTION fder