Due: Friday 09/20 10:00am

Submission name: work07.rkt

Chapter 5 covers boolean values and operators.

Write contracts and the functions for the following:

Use define and lambda to write your functions. Include test cases with descriptive output.

  • isBetween
    • Takes 3 numbers as inputs (let’s call them a, b and c)
    • Returns:
      • true if a is greater than b and a is less than c
      • false in all other cases
    • Examples: 
      (isBetween 5 4 6) ==> true
(isBetween 3 7 9) ==> false
(isBetween 4 4 9) ==> false
  • pythTriple
    • Takes 3 numbers as inputs (let’s call them a, b and c)
    • Returns:
      • true if the three inputs could be the sides of a right triangle, with the last parameter being the hypotenuse
      • false in all other cases
    • Examples: 
      (pythTriple 3 4 5) ==> true
(pythTriple 6 7 10) ==> false
(pythTriple 4  3 5) ==> true
(pythTriple 5 3 4) ==> false
  • pythTriple2
    • Takes 3 numbers as inputs (let’s call them a, b and c)
    • Returns:
      • true if the three inputs could be the sides of a right triangle, where any of the sides could be the hypotenuse
      • false in all other cases
      • Examples: 
        (pythTriple2 3 4 5) ==> #true
(pythTriple2 6 7 10) ==> #false
(pythTriple2 4  3 5) ==> #true
(pythTriple2 5 3 4) ==> #true
(pythTriple2 4 5 3) ==> #true
  • exor
    • This is known as the exclusive or operator
    • Takes 2 boolean values as inputs
    • Returns:
      • true if exactly one of the 2 inputs is true
      • false in all other cases
      • Examples: 
        (exor #true #true) ==> false
(exor #true #false) ==> true
(exor #false #true) ==> true
(exor #false #false) ==> false
(exor (> 3 4) (<= 5 6)) ==> true