CSCI 2500 — Computer Organization Homework 3 (document version 1.0) Matrix Multiplication in MIPS
• This homework is due by 11:59:59 PM on Thursday, October 18, 2018.
• This homework is to be completed individually. Do not share your code with anyone else.
• You must use MIPS for this homework assignment, and your code must successfully execute on Submitty to obtain full credit.
Homework Specifications
For this individual homework assignment, you will again implement matrix multiplication, this time using MIPS. More specifically, you will read in two matrices from the user and multiply them together. As with Homework 1, if you need a refresher in how matrix multiplication works, look in a math textbook or check out Wikipedia!
The first matrix is an n × k matrix, while the second matrix is a k × m matrix. Therefore, the result will be an n × m matrix. Use the read_int system call (syscall) to read in n, k, and m, as well as each unsigned integer matrix value.
One approach you could take is to store these important values in your .data section as follows (with sample hard-coded values shown):
.data n: .word 4 k: .word 3 m: .word 4
Once you have your matrix sizes defined, dynamically allocate memory to store the actual matrices. This would be equivalent to calling malloc() or calloc() in C to allocate memory on the heap. And remember that each integer is one word (or four bytes) in size.
Example Program Execution
On the next page is an example MIPS program execution that you can use to better understand how your program should work, how you can test your code, and what output formatting to use for Submitty. Also use test cases from Homework 1 to test your MIPS code.
Note that you must input each value on a separate line in MIPS. And you can assume that the input given to your program is valid.
When displaying a matrix, each line must start with ‘[’ and end with ‘]’ (as with Homework 1), but in this assignment, left justify the columns by using TAB (‘\t’) characters as follows:
[12\t34\t5567\t] [8\t9\t123\t] [45\t67\t8\t] [9\t10\t11\t]
This will display this 4 × 3 matrix as follows:
[12 34 5567 ] [8 9 123 ] [45 67 8 ] [9 10 11 ]
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(spim) load "hw3.s" (spim) run Please enter values for n, k, and m: 4 3 4 Please enter values for the first matrix (4x3): 10 20 30 40 50 60 70 80 90 100 110 120 Please enter values for the second matrix (3x4): 0 10 0 20 30 0 40 0 0 50 0 60
[10 20 30 ] [40 50 60 ] [70 80 90 ] [100 110 120 ] multiplied by
[0 10 0 20 ] [30 0 40 0 ] [0 50 0 60 ] equals
[600 1600 [1500 3400 [2400 5200 [3300 7000 (spim)
800 2000 ] 2000 4400 ] 3200 6800 ] 4400 9200 ]
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Error Checking
Given the complexity of this assignment, you can assume that all input values are valid unsigned integers. You can also assume that the correct number of values is given for each matrix. In other words, you do not need to validate the user input.
Submission Instructions
Before you submit your code, be sure that you have clearly commented your code (this should not be an after-thought). Further, your code should have a clear and logical organization. Use registers appropriately, and create reusable procedures (just be sure to manage the stack properly).
To submit your assignment (and also perform final testing of your code), please use Submitty.
Note that the test cases for this assignment will be available on Submitty a few days before the due date and will include hidden test cases.
Also as a reminder, your code must successfully execute on Submitty to obtain credit for this assignment.