Standard ML Programming/Examples and Exercises

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Values and Functions[edit]

  • Indicate the identifiers, keywords, and special constants in the following piece of code. What is the value of the second a?
 val a = 5
 val b = 9
 val a = 2*a+b;
  • Construct a tuple with 4 positions and 3 components.
  • What is the type of t?
 fun f a = 2
 val t = (true,f,f 1);
  • Write a function that returns the value 2 for the arguments 0, 1 and 2 and returns 3 for all other arguments.
  • Write a function that returns -1 for all negative and +1 for all positive arguments and 0 for the argument 0.
  • Create a function min(a:int,b:int) that returns the smaller one of its 2 arguments. Do the separation of the argument values in 3 different ways. Using a Cartesian argument-pattern, using a projection and using a local declaration.

(solutions to this chapter are here)


  • Create a function power9(x) that calculates the 9th power of x. Preferably using as few multiplications as possible.
  • Calculate the greatest common denominator from 2 positive integer arguments.
  • Calculate mul(n,z)=n*z without using the * operator for n \in \mathbb{N} and z \in \mathbb{Z}
  • Calculate power2(n) by only using addition and resursion. (hint: it is possible to rewrite the square function as a summation of natural numbers.)

(solutions to this chapter are here)