PA1: Decaf Program
Objective
The goal of this project is to become familiar with the Decaf programming language.
Introduction
The semester-long project for this course is to build a compiler for the Decaf language. In this project, you will implement various functions in Decaf to become familiar with the language.
You should download the reference compiler from the "Files" tab in Canvas to test your submission for this project.
You may wish to download the starter file with function stubs: 01-stubs.decaf
Assignment
Implement the following functions in Decaf:
int fact(int n)
Returns the factorial ofn
(i.e., "n!
"). For example, "fact(3)
" should return6
.int fib(int n)
Returns then
th Fibonacci number. For example, "fib(1)
" should return1
and "fib(4)
" should return3
.bool is_prime(int n)
Returnstrue
ifn
is prime, andfalse
otherwise. Performance is not a concern, so you may use a naive algorithm.int sum_nums(int len)
Returns the sum oflen
numbers from an array callednums
. For example, "sum_nums(0)
" should return0
regardless of the contents ofnums
, and "sum_nums(2)
" should return the sum of the first two numbers.void sort_nums(int len)
Sortslen
numbers from an array callednums
in ascending numerical order. Sorting should be done in-place. Performance is not a concern, so you may use any sorting algorithm you wish.int gcd(int a, int b)
Returns the greatest common divisor ofa
andb
. For example, "gcd(8,12)
" should return4
. Performance is not a concern, so you may use a naive algorithm.void draw_triangle(int base)
Draw a simple text-based triangle using hash marks ('#
'). The base of the triangle should bebase
characters long and the triangle should be oriented upwards from the base. Each level of the triangle should decrease in width by two characters per level (one on each side). Every line should end with a newline character ('\n
'), but there should be no extra whitespace above or below the triangle or on its right side. Examples:base=3: # ### base=4: ## #### base=9: # ### ##### ####### #########
For this assignment, you may assume that all function inputs are valid by
the function's mathematical definition. For example, the factorial operator is
not defined for negative integers, so your fact
does not need to
handle negative inputs; the same holds for fib
, gcd
or
draw_triangle
.
Submission
DUE DATE: Friday, January 15, 23:59 EDT (11:59PM)
Please submit your .decaf
file and your reflection paper to the
appropriate assignments on Canvas.
Your decaf program should be self-contained in a single file and should implement all of the project specs described above. It MUST contain at least function stubs for all functions mentioned in the spec, even if you did not have time to implement all of the functions.