SUBROUTINE trapzd(func,a,b,s,n)
      INTEGER n
      REAL a,b,s,func
      EXTERNAL func
      INTEGER it,j
      REAL del,sum,tnm,x
      if (n.eq.1) then
        s=0.5*(b-a)*(func(a)+func(b))
      else
        it=2**(n-2)
        tnm=it
        del=(b-a)/tnm
        x=a+0.5*del
        sum=0.
        do 11 j=1,it
          sum=sum+func(x)
          x=x+del
11      continue
        s=0.5*(s+(b-a)*sum/tnm)
      endif
      return
      END
C  (C) Copr. 1986-92 Numerical Recipes Software .