Exercises part 1

module Tutorial.DataTypes.Exercises1

1. Use pattern matching to implement your own versions of boolean operators (&&) and (||) calling them and and or respectively.

   Note: One way to go about this is to enumerate all four possible combinations of two boolean values and give the result for each. However, there is a shorter, more clever way, requiring only two pattern matches for each of the two functions.

2. Define your own data type representing different units of time (seconds, minutes, hours, days, weeks), and implement the following functions for converting between time spans using different units. Hint: Use integer division (div) when going from seconds to some larger unit like hours).

   data UnitOfTime = Second -- add additional values
   
   -- calculate the number of seconds from a
   -- number of steps in the given unit of time
   total
   toSeconds : UnitOfTime -> Integer -> Integer
   
   -- Given a number of seconds, calculate the
   -- number of steps in the given unit of time
   total
   fromSeconds : UnitOfTime -> Integer -> Integer
   
   -- convert the number of steps in a given unit of time
   -- to the number of steps in another unit of time.
   -- use `fromSeconds` and `toSeconds` in your implementation
   total
   convert : UnitOfTime -> Integer -> UnitOfTime -> Integer
   

3. Define a data type for representing a subset of the chemical elements: Hydrogen (H), Carbon (C), Nitrogen (N), Oxygen (O), and Fluorine (F).

   Declare and implement function atomicMass, which for each element returns its atomic mass in dalton:

   Hydrogen : 1.008
   Carbon : 12.011
   Nitrogen : 14.007
   Oxygen : 15.999
   Fluorine : 18.9984