program ch1307
implicit none
real :: hi, hr, hlow, high, half, xl
real :: xh, xm, d
real, parameter :: tol = 1.0e-6
! problem - find hi from expression given
! in function f
! F=A*(1.0-0.8*EXP(-0.6*C/A))-B
! The above is a Fortran 77
! statement function.
! hi is incident wave height (c)
! hr is reformed wave height (b)
! d is water depth at terrace edge (a)
print *, ' Give reformed wave height, and water depth'
read *, hr, d
! for hlow - let hlow=hr
! for high - let high=hlow*2.0
! check that signs of function
! results are different
hlow = hr
high = hlow*2.0
xl = f(hlow, hr, d)
xh = f(high, hr, d)
do while ((xl*xh)>=0.0)
high = high*2.0
xh = f(high, hr, d)
end do
do
half = (hlow+high)*0.5
xm = f(half, hr, d)
if ((xl*xm)<0.0) then
xh = xm
high = half
else
xl = xm
hlow = half
end if
if (abs(high-hlow)<=tol) exit
end do
print *, ' Incident Wave Height Lies Between'
print *, hlow, ' and ', high, ' metres'
contains
real function f(a, b, c)
implicit none
real, intent (in) :: a
real, intent (in) :: b
real, intent (in) :: c
f = a*(1.0-0.8*exp(-0.6*c/a)) - b
end function
end program