[特殊函数] 还是同一个题，但是我换成勒让德函数就总出错，大神能.....

module autoxinpusen
contains 
subroutine solve(func,s,a,b,tol,m)
implicit none
integer::m,i
external func
double precision s,a,b,tol,s1,del
m=10
do i=1,m/2.d0
call simp(func,s,a,b,m)
m=m*2
call simp(func,s1,a,b,m)
del=abs(s-s1)
if(del<=tol)  exit
end do
s=s1
end subroutine solve

subroutine simp(func,s,a,b,m)
implicit none
integer::m,k,n
external func
double precision s,a,b,t1,t2,f1,f2,h,f3,f4
s=0d0
h=(b-a)/(m*2d0)
call func(f1,a,n)
call func(f2,b,n)
s=f1+f2
!k=0 情况
call func(f1,a+h,n)
s=s+4d0*f1
do k=1,m-1
t1=a+(2d0*k+1)*h
t2=a+2d0*k*h
call func(f3,t1,n)
call func(f4,t2,n)
s=s+f3*4d0+f4*2d0  
end do
s=s*h/3d0
end subroutine simp

subroutine fun1(f,x,n)
implicit none
integer k,n
double precision f,x,p(0:n)

 p(0) = 1.d0 
 p(1) = x 
 do k = 2, n 
    p(k)=((2.d0*k-1.d0)*x*p(k-1)-(k-1.d0)*p(k-2))/k 
 end do 
 f=p(n) 
end subroutine fun1
end module autoxinpusen

program main
use autoxinpusen
implicit none
integer::n
double precision a,b,abs,s
write(6,*)'n'
read(5,*)n
write(6,*)'a'
read(5,*)a
write(6,*)'b'
read(5,*)b
write(6,*)'abs'
read(5,*)abs
open(unit=11,file='result.txt')
call solve(fun1,s,a,b,abs,n)
write(6,'(1x,i3,1x,d15.8)')n,s
write(11,*)n,s
pause
end program main
!  --------------------------------------------------
!  Silverfrost FTN95 for Microsoft Visual Studio
!  Free Format FTN95 Source File
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