tuples.md

Instructions

Use the following heuristic to write programs that manipulate tuples.

1. Unpack the input tuples to obtain their components.
2. Process the components to obtain components of the result.
3. Combine the components of the result to obtain the output tuples.

Questions

1. Write a function vadd that takes two pairs of numbers and performs component-wise addition. i.e., it implements vector addition (a, b) + (c, d) = (a+c, b+d).

2. Write a function that takes two people as input and returns the name of the older person. What type would you choose to represent people?

3. A rational number is a number of the form p/q where p and q are integers and q is not zero. What type would you choose to represent rationsls?

4. Write a function rational_multiply that takes two rationals as input and produces their product as output.

5. I assume you are all familiar with rock, paper, scissors. Write a function winner that takes two hands in the game as input and outputs the result. What types would you choose for inputs and outputs?