I am going through Type driven development with Idris from Manning. An example is given that teaches how to restrict a function to a given type in a family of types. We have Vehicle type that uses PowerSource that is either Pedal or Petrol and we need to write a function refill that typechecks only for vehicles that use petrol as their powersource.
The below code works, but does not guarantee that refilling a Car will produce a Car and not a Bus. How do I need to change the signature of the refill function to only allow producing Car when given a Car and producing Bus when given Bus?
data PowerSource
= Pedal
| Petrol
data Vehicle : PowerSource -> Type
where
Bicycle : Vehicle Pedal
Car : (fuel : Nat) -> Vehicle Petrol
Bus : (fuel : Nat) -> Vehicle Petrol
refuel : Vehicle Petrol -> Nat -> Vehicle Petrol
refuel (Car fuel) x = Car (fuel + x)
refuel (Bus fuel) x = Bus (fuel + x)