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# Programming Language Concepts Programming Exam 2 solution

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CENG 242
Programming Language Concepts

Programming Exam 2

1 Problem Definition
For this second programming examination composed of two parts, you will be working with lists. In the
first part, you will be doing some basic manipulations on infinite lists. In the second part, you will be
writing a prettifier for a simplified object format. All functions will be tested independently, but are
designed to build up. Thus, using previous functions when defining your new functions will make life
easier.

Category:

## Description

CENG 242
Programming Language Concepts

Programming Exam 2

1 Problem Definition
For this second programming examination composed of two parts, you will be working with lists. In the
first part, you will be doing some basic manipulations on infinite lists. In the second part, you will be
writing a prettifier for a simplified object format. All functions will be tested independently, but are
designed to build up. Thus, using previous functions when defining your new functions will make life
easier.
1.1 General Specifications
• The signatures of the functions, their explanations and specifications are given in the following
• Make sure that your implementations comply with the function signatures.
• You may define any number of helper function(s) as you need.
• You can (and sometimes even should) use previous functions inside your new function definitions.
The exercises are designed to build up!
• You are allowed to import Data.List for this exam, if you want to. However, what the Prelude
provides is already more than enough.
1.2 Quick VPL Tips
• Evaluation is fast. If evaluation seems to hang for more than a few seconds, your code is entering
an infinite loop or has an abnormal algorithmic complexity. Or you’ve lost your connection, which
is much less likely!
• Although the run console does not support keyboard shortcuts, it should still be possible to copy
• Get familiar with the environment. Press the plus shapes button on the top-left corner to see all
Useful stuff!
1
2 Part I – Time to ∞ up!
2.1 naturals (10 points)
Define an infinite list of type [Integer] containing all natural numbers in ascending order.
To explain a little more: the head of the list should be 0, the next value should be 1, followed by 2 etc.
That’s it!
The formal description for the ith element of the list ni (starting from n0) is the following:
ni = i
Here is the signature and a few examples showcasing how naturals should behave, even though it’s kind
of obvious:
naturals :: [Integer]
*PE2 naturals !! 0
0
*PE2 naturals !! 1
1
*PE2 take 10 naturals
[0,1,2,3,4,5,6,7,8,9]
*PE2 take 25 naturals
[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24]
*PE2 naturals !! 3333333
3333333
Hint: Yep, this is as easy as it looks. Remember take is used to get the first n elements of a given list.
2.2 interleave (20 pts)
Now, we’re moving on to the next step to prepare for an even more awesome infinite list. You will
implement a function named interleave for interleaving two lists of the same type; as the name implies.
The resulting list should alternate between elements from the first list and elements from the second list,
starting from the first. The interleaving should stop as soon as any of the lists become empty. This
implies that the length of the resulting list will always be even for finite lists: twice the length of the
shorter input. Here is the signature and some sample runs to clarify (observe that the result always cuts
off at the shorter list, but also works with infinite lists -in the final example- thanks to laziness):
2
interleave :: [a] – [a] – [a]
*PE2 interleave [1, 2, 3] [4, 5, 6]
[1,4,2,5,3,6]
*PE2 interleave [4, 5, 6] [1, 2, 3]
[4,1,5,2,6,3]
*PE2 interleave “hlool” “elwrd”
“helloworld”
*PE2 interleave [] [1, 2, 3]
[]
*PE2 interleave [3, 66, 7] []
[]
*PE2 interleave [5, 4, 3, 2] [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
[5,1,4,1,3,1,2,1]
*PE2 interleave [5, 4, 3, 2] \$ repeat 1
[5,1,4,1,3,1,2,1]
*PE2 take 10 \$ interleave (repeat 2) (repeat 4)
[2,4,2,4,2,4,2,4,2,4]
Hint: No hints here! Remember that repeat creates infinite lists by repeating the given value.
2.3 integers (10 pts)
As the final step of this part, you will implement another infinite list of type [Integer]. This time it will
contain all the integers, starting from zero and then alternating between the negative and positive values
of the next natural number. The first value is 0, followed by -1 and 1, then -2 and 2, then -3 and 3 etc.
Here’s the signature and some example interactions:
integers :: [Integer]
*PE2 integers !! 0
0
*PE2 take 5 integers
[0,-1,1,-2,2]
*PE2 take 25 integers
[0,-1,1,-2,2,-3,3,-4,4,-5,5,-6,6,-7,7,-8,8,-9,9,-10,10,-11,11,-12,12]
*PE2 integers !! 312455
-156228
*PE2 integers !! 312456
156228
And finally, a more formal definition for the ith element ni (starting from n0):
ni =



i
2
i ≡ 0 mod 2

i + 1
2
i ≡ 1 mod 2
Hint: Hey, maybe your previous definitions can be useful?
3
3 Part II – Prettifying SJSON
In this section we will be working on prettifying a simplified object format that we will call SJSON (a
very restricted subset of actual JSON). The rules of this format are simple:
• Each SJSON strings describes an object; objects are delimited by braces ‘{‘ and ‘}’.
• Each object contains one or more fields, which are key-value pairs, where the key and value are
separated by a colon ‘:’
• Keys are always strings, delimited by single quotes ‘’’
• Values can be either strings or other objects
• If there are multiple key-value pairs, they are separated by a comma ‘,’
• For simplicity, strings only contain alphanumeric characters and spaces ‘ ‘. There are no escape
sequences or weird rules.
• Parts of the SJSON representation may be separated by zero or more characters of whitespace, which
in this instance means spaces ‘ ‘, tabs ‘\t’ and newlines ‘\n’. Removing these spaces or adding
more does not change the representation. Obviously, space characters ‘ ‘ inside strings should not
be removed.
Here are some example strings representing SJSON objects:
• A basic object containing one key-value pair: “{‘key’:’value’}”
• An object containing multiple key-value pairs, with some tabs and spaces:
” { ‘name’: ‘Simon Peyton’, ‘surname’: ‘Jones’,’age’:’63’ } ”
• An object containing another object broken over multiple lines:
” {
‘firstName ‘: ‘John ‘, ‘lastName ‘: ‘Smith ‘,
‘isAlive ‘: ‘true ‘,
‘age ‘: ’27’,
‘city ‘: ‘New York ‘, ‘state ‘: ‘NY ‘,
‘postalCode ‘: ‘10021 3100 ‘ },
‘spouse ‘: ‘noone ‘ }”
3.1 splitOn (20 pts)
Now that we’ve defined SJSON, it’s time to get to work! As a first step, you will define a simple function
for splitting a string on the first occurence of a character. The function returns a tuple, with the first
element containing the left side of the split string, and the second element containing the right side. Please
note that the character split on is removed. If the character does not exist, the whole input string should
be returned as the first element (left), with an empty string as the second element. Here is the signature
and some sample I/O:
4
splitOn :: Char — character to split the string on
– String — string to split
– (String, String) — left and right pieces of the split string
*PE2 splitOn ‘.’ “point.x”
(“point”,”x”)
*PE2 splitOn ‘,’ “11,12,13,14”
(“11″,”12,13,14”)
*PE2 splitOn ‘a’ “”
(“”,””)
*PE2 splitOn ‘a’ “a”
(“”,””)
*PE2 splitOn ‘a’ “bab”
(“b”,”b”)
*PE2 splitOn ‘-‘ “no minuses here my friend”
(“no minuses here my friend”,””)
*PE2 splitOn ‘z’ “zzzzz”
(“”,”zzzz”)
*PE2 splitOn ‘\” “get’separated”
(“get”,”separated”)
3.2 tokenizeS (20 pts)
Directly working on characters when trying to process structured text can be difficult, so your next job
is writing a tokenizer that will convert the input into a list of tokens (strings) that will be easier to work
Here’s how your tokenizer should work:
• Special characters ‘{‘, ‘}’, ‘:’ and ‘,’ must be converted into tokens as-is. e.g. the character
‘:’ will become the string “:”.
• Strings should be converted into tokens without their quotes. e.g. ‘key’ becomes the string “key”,
‘Chicken Egg 12’ becomes the string “Chicken Egg 12”.
• Whitespace should be completely ignored and not tokenized, except for space characters present
inside strings which should clearly remain as-is. Remember that we defined whitespace as spaces,
tabs and newlines.
The inputs to your function are guaranteed to be valid SJSON representations, as we have defined previously. There will be no erroneous input with extra characters or not conforming to the SJSON syntax
rules. Here is the signature and a couple of example runs to make things clearer:
5
tokenizeS :: String — valid SJSON string to tokenize
– [String] — list of tokens resulting from the tokenization
*PE2 tokenizeS “{‘alpha’:’77’}”
[“{“,”alpha”,”:”,”77″,”}”]
*PE2 tokenizeS “{‘key0′:’val0′,’key1′:’val1’}”
[“{“,”key0″,”:”,”val0″,”,”,”key1″,”:”,”val1″,”}”]
*PE2 tokenizeS ” { ‘howabout’ : ‘somewhitespace’ } ”
*PE2 tokenizeS “{\n\t ‘spaces inside a string’ : ‘true’\n }\n”
[“{“,”spaces inside a string”,”:”,”true”,”}”]
*PE2 tokenizeS “{{{‘nested’:’sth’}},’not nested’:’val’}”
[“{“,”{“,”{“,”nested”,”:”,”sth”,”}”,”}”,”,”,”not nested”,”:”,”val”,”}”]
*PE2 tokenizeS “{ ‘cat’: { ‘name’: ‘Boncuk’, ‘age’: ‘2’ }, ‘dog’:{‘name’:’Charl
ie’, ‘age’: ‘7’}, \n ‘cow’: {‘name’: ‘Tinker Bell’, ‘age’: ‘8’} }”
[“{“,”cat”,”:”,”{“,”name”,”:”,”Boncuk”,”,”,”age”,”:”,”2″,”}”,”,”,”dog”,”:”,”{“,”nam
e”,”:”,”Charlie”,”,”,”age”,”:”,”7″,”}”,”,”,”cow”,”:”,”{“,”name”,”:”,”Tinker Bell”,”
,”,”age”,”:”,”8″,”}”,”}”]
Hint: What you need to deal with spaces inside strings is a simple algorithm, but quite unbreakable. While
going through the input, ignore any whitespace you come across. But, when you find a single quote ‘’’,
simply take everything until the next single quote. splitOn could help with this. With this approach,
you can safely include spaces inside strings while ignoring whitespace in the rest of the input. Remember
that you need an escape sequence for the single quote character literal: ‘\”.
3.3 prettifyS (20 pts)
As the final step, you will write a prettifier for the SJSON format. This means that we will be printing
our SJSON objects using a nice, indented format. Should not be too difficult thanks to the tokenizer you
just wrote!
Below are our rules for prettification. Make sure you follow them carefully. Your output will not be
post-processed, it needs to match the expected output exactly.
• Opening braces ‘{‘ should be followed by a newline, and increase the indentation level by one for
following lines.
• Closing braces ‘}’ should be preceded by a newline, and be at the same indentation level as the
matching opening brace. They should reduce the indentation level by one.
• Every indentation level adds exactly four (4) spaces to the start of the line
• Strings should be written enclosed in single quotes ‘’’
• Colons ‘:’ separating key-value pairs should be followed by a single (1) space
• Commas ‘,’ separating fields should be followed by a newline
With this approach, we can get some pretty SJSON outputs! Below is the signature and some examples.
Since show shows newlines and tabs with their escape sequences, I’m also going to use putStrLn to show
the outputs in a more proper fashion. Please note that putStrLn adds an extra newline at the end of the
string, the final closing brace is not followed by a newline:
6
prettifyS :: String – String — valid SJSON string to prettified output string
*PE2 prettifyS “{‘chicken’:’egg’}”
“{\n ‘chicken’: ‘egg’\n}”
*PE2 putStrLn \$ prettifyS “{‘chicken’:’egg’}”
{
‘chicken’: ‘egg’
}
*PE2 prettifyS “{ ‘urfa’: ‘bland’, ‘adana’:’spicy’ }”
*PE2 putStrLn \$ prettifyS “{ ‘urfa’: ‘bland’, ‘adana’:’spicy’ }”
{
‘urfa’: ‘bland’,
}
*PE2 putStrLn \$ prettifyS “{‘header’: ‘here’, ‘payload’: { ‘local time’: ‘1750 hou
rs’, ‘time zone’: ‘utc plus 3’}}”
{
‘local time’: ‘1750 hours’,
‘time zone’: ‘utc plus 3’
}
}
*PE2 putStrLn \$ prettifyS “{‘country’:’Turkey’, ‘university’: { ‘name’: ‘METU’, ‘d
epartment’: { ‘name’: ‘CEng’, ‘course’: { ‘name’: ‘CENG242’, ‘semester’:’20202′}}},
‘city’:’Ankara’}”
{
‘country’: ‘Turkey’,
‘university’: {
‘name’: ‘METU’,
‘department’: {
‘name’: ‘CEng’,
‘course’: {
‘name’: ‘CENG242’,
‘semester’: ‘20202’
}
}
},
‘city’: ‘Ankara’
}
Hint: Since the SJSON format is recursive (objects can be nested arbitrarily), your prettifier should
probably also use recursion. The exact output can be difficult to understand from the box above. Make
sure to check out the given example I/O files directly if you need more clarification. Once again, all input
strings are guaranteed to be valid SJSON objects.
7
4 Regulations
1. Implementation and Submission: The template file named “pe2.hs” is available in the Virtual
Programming Lab (VPL) activity called “PE2” on OdtuClass. At this point, you have two options:
• You can download the template file, complete the implementation and test it with the given
sample I/O on your local machine. Then submit the same file through this activity.
• You can directly use the editor of VPL environment by using the auto-evaluation feature of
this activity interactively. Saving the code is equivalent to submit a file.
The second one is recommended. However, if you’re more comfortable with working on your local
machine, feel free to do it. Just make sure that your implementation can be compiled and tested in
the VPL environment after you submit it.
There is no limitation on online trials or submitted files through OdtuClass. The last one you
2. Cheating: We have zero tolerance policy for cheating. People involved in cheating (any kind
of code sharing and codes taken from internet included) will be punished according to the university
regulations.
3. Evaluation: Your program will be evaluated automatically using “black-box” technique so make
sure to obey the specifications. No erroneous input will be used. Therefore, you don’t have to
consider the invalid expressions.
Important Note: The given sample I/O’s are only to ease your debugging process and NOT
official. Furthermore, it is not guaranteed that they cover all the cases of required functions. As
a programmer, it is your responsibility to consider such extreme cases for the functions. Your
implementations will be evaluated by the official testcases to determine your actual grade after the
5 Appendix – SJSON Grammar
For the sake of completeness, here’s the grammar defining SJSON strings in BNF notation (with an obvious
… extension), without accounting for extraneous, token separating whitespace.
hsjsoni ::= ‘{’ hfieldsi ‘}’
hfieldsi ::= hfieldi | hfieldi ‘,’ hfieldsi
hfieldi ::= hstringi ‘:’ hvaluei
hvaluei ::= hstringi | hsjsoni
hstringi ::= ‘’’ hmaybecharsi ‘’’
hmaybecharsi ::= hchar ihmaybecharsi | ?
hchar i ::= ‘ ’ | huppercasei | hlowercasei | hdigiti
huppercasei ::= ‘A’ | ‘B’ | … | ‘Z’
hlowercasei ::= ‘a’ | ‘b’ | … | ‘z’
hdigitsi ::= ‘0’ | ‘1’ | … | ‘9’
8