Haskell list type conversion - haskell

Support I have a list of type [Char], and the values enclosed are values of a different type if I remove their quotations which describe them as characters. e.g. ['2','3','4'] represents a list of integers given we change their type.
I have a similar but more complicated requirement, I need to change a [Char] to [SomeType] where SomeType is some arbitrary type corresponding to the values without the character quotations.

Assuming you have some function foo :: Char -> SomeType, you just need to map this function over your list of Char.
bar :: [Char] -> [SomeType]
bar cs = map foo cs

I hope I get this correctly and there is a way (if the data-constructors are just one-letters too) - you use the auto-deriving for Read:
data X = A | B | Y
deriving (Show, Read)
parse :: String -> [X]
parse = map (read . return)
(the return will just wrap a single character back into a singleton-list making it a String)
example
λ> parse "BAY"
[B,A,Y]

Related

Haskell code prints out a list for ints but not for chars

My code currently looks like this. It is supposed to show the possible first symbols in the regular expression definition given to us beforehand. I am supposed to print these out as a list. For example, if the answer is supposed to be [1,2], it will come out [1,2] but when the answer is supposed to be ['1','2'] it will come out "12" or when it is supposed to be ['a', 'b'] it will come out "ab". What am I doing wrong?
data RE a -- regular expressions over an alphabet defined by 'a'
= Empty -- empty regular expression
| Sym a -- match the given symbol
| RE a :+: RE a -- concatenation of two regular expressions
| RE a :|: RE a -- choice between two regular expressions
| Rep (RE a) -- zero or more repetitions of a regular expression
| Rep1 (RE a) -- one or more repetitions of a regular expression
deriving (Show)
firstMatches :: RE a -> [a]
firstMatches Empty = []
firstMatches (Sym a)= a:list
firstMatches(Rep(a))=firstMatches a
firstMatches(Rep1(a))=firstMatches a
firstMatches (Empty :+: b)= firstMatches b
firstMatches (a :+: _) = firstMatches a
firstMatches (a :|: b)= firstMatches a ++ firstMatches b
You're not doing anything wrong.
String is a type synonym for [Char], so if you try to print a [Char] it will print as a String. This is somewhat of a special case, and it can be a little weird.
Show is the typeclass used to print things as a string. The definition of Show is something like this:
class Show a where
showsPrec :: Int -> a -> ShowS
show :: a -> String
showList :: [a] -> ShowS
The showList function is optional. The documentation states:
The method showList is provided to allow the programmer to give a specialised way of showing lists of values. For example, this is used by the predefined Show instance of the Char type, where values of type String should be shown in double quotes, rather than between square brackets.
So if you define a new type and instantiate Show, you can optionally define a special way to show a list of your type, separate from the way it's normally shown and separate from the way lists are normally shown. Char takes advantage of this, in that a [Char] (or equivalently, a String), is shown with double-quotes instead of as a list of Char values.
I can't think of a way to get it to use the default show for a [Char]. I don't think there is one. A workaround might be to create a newtype wrapping Char with its own Show that uses the default showList implementation, but that doesn't seem appropriate here.
If this is homework, I'd expect the grader to know about this already, and I seriously doubt you'd get marked down for it, especially since the problem doesn't appear to be about show at all.

Haskell: Parsing String to Custom Type

I have declared a type:
type Foo = (Char, Char, Char)
And want to be able to parse a 3 letter string "ABC" to produce an output Foo with each of ABC as the three attributes of the type.
My current attempt is;
parseFoo :: String → Maybe Foo
parseFoo str = f where
f (a, _, _) = str[0]
f (_, b, _) = str[1]
f (_, _, c) = str[2]
This is returning an error:
Illegal operator ‘→’ in type ‘String → Maybe Foo’
Use TypeOperators to allow operators in types
My question is:
How do I prevent this error on compilation?
Am I even on the right track?
If I understand it the correct way, you want to store the first three characters of a string into a type Foo (which is an alias for a 3-tuple that contains three Chars).
The signature seems correct (it is good practice to return a Maybe if something can go wrong, and here it is possible that the string contains less than three characters). A problem hwever is that you write an arrow character → whereas signatures in Haskell usse -> (two ASCII characters, a dash and a greater than symbol).
So we can define the signature as:
parseFoo :: String -> Maybe Foo
Now the second problem is that you here define a function f that maps Foos to Strings, so the reverse. You also make use of a syntax that is frequently used for indexing in languages of the C/C++/C#/Java programming language family, but indexing in Haskell is done with the (!!) operator, and since you define the function in reverse, it will not help.
A string is a list of Chars, so:
type String = [Char]
We can thus define two patterns:
a list with three (or more) characters; and
a list with less than three characters.
For the former, we return a 3-tuple with these characters (wrapped in a Just), for the latter we return Nothing:
parseFoo :: String -> Maybe Foo
parseFoo (a:b:c:_) = Just (a, b, c)
parseFoo _ = Nothing
Or if we do not want to parse strings with more than three characters successfully:
parseFoo :: String -> Maybe Foo
parseFoo [a, b, c] = Just (a, b, c)
parseFoo _ = Nothing

parse error on input ‘::’ when making an explicit type definition for a function which accepts multiple arguments

I am working on a project in Haskell for the first time and I am working on translating over my ADT into the code properly, however when I am writing the explicit type definitions for my functions and I load my code in GHCi I get the following error:
Blockquote parse error on input ‘::’
The line in question is for a function called type which accepts a character and a tuple and returns a tuple as shown below:
type :: validChars -> tuple -> tuple
where validChars is the list of valid characters, the definitions for my lists are shown here if this helps:
tuple = (l, r, b, k)
l = [l | l <- validChars]
m = [m | m <- validChars]
b = [b | b <- validChars]
k = [k | k <- validChars]
validChars = [ chr c | c <-alphanumericChars , c >= 32, c <= 122]
alphanumericChars = [ a | a <- [0..255]]
I checked to make sure it wasn't validChars causing the error by replacing it with the Charstype as shown:
type :: Chars -> tuple -> tuple
But I still get the same error, I am a complete beginner at Haskell so I'm probably missing something important, but I am not sure what that would be exactly; I've looked at answers for similar questions I have been unsuccessful thus far. Any help with this would be appreciated.
type is a keyword in Haskell, so you can't use it as the name of your function.
Furthermore type names start with a capital letter in Haskell and anything starting with a lower case letter in a type is a type variable. So if you define myFunction :: validChars -> tuple -> tuple, that defines a function that takes two arguments of arbitrary types and produces a result of the same type as the second argument. It's the same as myFunction :: a -> b -> b.
If you write myFunction :: Chars -> tuple -> tuple, you get a function whose first argument needs to be of type Chars (which needs to exist) and the second argument is of an arbitrary type that is also the type of the result. Again it's the same as myFunction :: Chars -> a -> a.
Note that for this to work, you'll actually have to have defined a type named Chars somewhere. If you want to take a list of Chars, the type should be [Char] instead.
And if you want the second argument and result to actually be tuples (rather than just a type variable arbitrarily named tuple), you need to specify a tuple type like (a,b,c,d), which would accept arbitrary 4-tuples, or something specific like (Integer, String, String, String), which would accept 4-tuples containing an Integer and three Strings.

converting a list of string into a list of tuples in Haskell

I have a list of strings:
[" ix = index"," ctr = counter"," tbl = table"]
and I want to create a tuple from it like:
[("ix","index"),("ctr","counter"),("tbl","table")]
I even tried:
genTuple [] = []
genTuples (a:as)= do
i<-splitOn '=' a
genTuples as
return i
Any help would be appriciated
Thank you.
Haskell's type system is really expressive, so I suggest to think about the problem in terms of types. The advantage of this is that you can solve the problem 'top-down' and the whole program can be typechecked as you go, so you can catch all kinds of errors early on. The general approach is to incrementally divide the problem into smaller functions, each of which remaining undefined initially but with some plausible type.
What you want is a function (let's call it convert) which take a list of strings and generates a list of tuples, i.e.
convert :: [String] -> [(String, String)]
convert = undefined
It's clear that each string in the input list will need to be parsed into a 2-tuple of strings. However, it's possible that the parsing can fail - the sheer type String makes no guarantees that your input string is well formed. So your parse function maybe returns a tuple. We get:
parse :: String -> Maybe (String, String)
parse = undefined
We can immediately plug this into our convert function using mapMaybe:
convert :: [String] -> [(String, String)]
convert list = mapMaybe parse list
So far, so good - but parse is literally still undefined. Let's say that it should first verify that the input string is 'valid', and if it is - it splits it. So we'll need
valid :: String -> Bool
valid = undefined
split :: String -> (String, String)
split = undefined
Now we can define parse:
parse :: String -> Maybe (String, String)
parse s | valid s = Just (split s)
| otherwise = Nothing
What makes a string valid? Let's say it has to contain a = sign:
valid :: String -> Bool
valid s = '=' `elem` s
For splitting, we'll take all the characters up to the first = for the first tuple element, and the rest for the second. However, you probably want to trim leading/trailing whitespace as well, so we'll need another function. For now, let's make it a no-op
trim :: String -> String
trim = id
Using this, we can finally define
split :: String -> (String, String)
split s = (trim a, trim (tail b))
where
(a, b) = span (/= '=') s
Note that we can safely call tail here because we know that b is never empty because there's always a separator (that's what valid verified). Type-wise, it would've been nice to express this guarantee using a "non-empty string" but that may be a bit overengineered. :-)
Now, there are a lot of solutions to the problem, this is just one example (and there are ways to shorten the code using eta reduction or existing libraries). The main point I'm trying to get across is that Haskell's type system allows you to approach the problem in a way which is directed by types, which means the compiler helps you fleshing out a solution from the very beginning.
You can do it like this:
import Control.Monda
import Data.List
import Data.List.Split
map ((\[a,b] -> (a,b)) . splitOn "=" . filter (/=' ')) [" ix = index"," ctr = counter"," tbl = table"]

Create a type that can contain an int and a string in either order

I'm following this introduction to Haskell, and this particular place (user defined types 2.2) I'm finding particularly obscure. To the point, I don't even understand what part of it is code, and what part is the thoughts of the author. (What is Pt - it is never defined anywhere?). Needless to say, I can't execute / compile it.
As an example that would make it easier for me to understand, I wanted to define a type, which is a pair of an Integer and a String, or a String and an Integer, but nothing else.
The theoretical function that would use it would look like so:
combine :: StringIntPair -> String
combine a b = (show a) ++ b
combine a b = a ++ (show b)
If you need a working code, that does the same, here's CL code for doing it:
(defgeneric combine (a b)
(:documentation "Combines strings and integers"))
(defmethod combine ((a string) (b integer))
(concatenate 'string a (write-to-string b)))
(defmethod combine ((a integer) (b string))
(concatenate 'string (write-to-string a) b))
(combine 100 "500")
Here's one way to define the datatype:
data StringIntPair = StringInt String Int |
IntString Int String
deriving (Show, Eq, Ord)
Note that I've defined two constructors for type StringIntPair, and they are StringInt and IntString.
Now in the definition of combine:
combine :: StringIntPair -> String
combine (StringInt s i) = s ++ (show i)
combine (IntString i s) = (show i) ++ s
I'm using pattern matching to match the constructors and select the correct behavior.
Here are some examples of usage:
*Main> let y = StringInt "abc" 123
*Main> let z = IntString 789 "a string"
*Main> combine y
"abc123"
*Main> combine z
"789a string"
*Main> :t y
y :: StringIntPair
*Main> :t z
z :: StringIntPair
A few things to note about the examples:
StringIntPair is a type; doing :t <expression> in the interpreter shows the type of an expression
StringInt and IntString are constructors of the same type
the vertical bar (|) separates constructors
a well-written function should match each constructor of its argument's types; that's why I've written combine with two patterns, one for each constructor
data StringIntPair = StringInt String Int
| IntString Int String
combine :: StringIntPair -> String
combine (StringInt s i) = s ++ (show i)
combine (IntString i s) = (show i) ++ s
So it can be used like that:
> combine $ StringInt "asdf" 3
"asdf3"
> combine $ IntString 4 "fasdf"
"4fasdf"
Since Haskell is strongly typed, you always know what type a variable has. Additionally, you will never know more. For instance, consider the function length that calculates the length of a list. It has the type:
length :: [a] -> Int
That is, it takes a list of arbitrary a (although all elements have the same type) and returns and Int. The function may never look inside one of the lists node and inspect what is stored in there, since it hasn't and can't get any informations about what type that stuff stored has. This makes Haskell pretty efficient, since, as opposed to typical OOP languages such as Java, no type information has to be stored at runtime.
To make it possible to have different types of variables in one parameter, one can use an Algebraic Data Type (ADT). One, that stores either a String and an Int or an Int and a String can be defined as:
data StringIntPair = StringInt String Int
| IntString Int String
You can find out about which of the two is taken by pattern matching on the parameter. (Notice that you have only one, since both the string and the in are encapsulated in an ADT):
combine :: StringIntPair -> String
combine (StringInt str int) = str ++ show int
combine (IntString int str) = show int ++ str

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