## Lab 3

Computer Architecture I ShanghaiTech University
Lab 2 Lab 3 Lab 4

## Goals

These exercises are intended to give you more practice with function calls and manipulating pointers in MIPS.

## Exercises

### Exercise 1

This exercise uses the file listmanips.s.

Take a look at this webpages to learn about the MapReduce (Chinese) algorithm. In this exercise, you will complete an implementation of map in MIPS. In general, map takes a function and a list as arguments and applies the function to each element in the list. Our function will be simplified to mutate the list in-place, rather than creating and returning a new list with the modified values.

Our map procedure will take two parameters; the first parameter will be the address of the head node of a singly-linked list whose values are 32-bit integers. So, in C, the structure would be defined as:

struct node {
int value;
struct node *next;
};

Our second parameter will be the address of a function that takes one int as an argument and returns an int. We'll use jalr (see below) to call this function on the list node values.

Our map function will recursively go down the list, applying the function to each value of the list nodes, storing the value returned in that node. In C, this would be something like this:

void map(struct node *head, int (*f)(int))
{
}

If you haven't seen the int (*f)(int) kind of declaration before, don't worry too much about it. Basically it means that f is a pointer to a function, which in C is used exactly like any other function.

You'll need to use an instruction you might not have learned before to implement this: jalr. jalr is to jr as jal is to j. It jumps to the address in the given register and stores the address of the next instruction (i.e., PC+4) in \$ra. So, if I didn't want to use jal, I could use jalr to call a function like this:

# I want to call the function garply, but not use jal.
la \$t0 garply    # so I use la to load the address of garply into a register (\$t0)
jalr \$t0         # and then use jalr to jump and link to it.

There are 7 places (6 in map and 1 in main) in the provided code where it says "#### YOUR CODE HERE ####". Replace these with instructions that perform as indicated in the comments to finish the implementation of map, and to provide a sample call to map with square as the function argument. The sample list is already created for you in create_default_list. When you've filled in these instructions, running the code should provide you with the following output:

List Before: 9 8 7 6 5 4 3 2 1 0
List After: 81 64 49 36 25 16 9 4 1 0

### Exercise 2

Add the prologue and epilogue to the code in nchoosek.s so that it computes "n choose k", the number of combinations of n distinct elements taken k at a time. (This is also the (n,k) entry in Pascal's triangle.)