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|
#LyX 2.3 created this file. For more info see http://www.lyx.org/
\lyxformat 544
\begin_document
\begin_header
\save_transient_properties true
\origin unavailable
\textclass book
\begin_preamble
\input{../defs}
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\maintain_unincluded_children false
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\end_header
\begin_body
\begin_layout Standard
\begin_inset listings
inline false
status open
\begin_layout Plain Layout
class Monad m where {#- MINIMAL (>>=), return -#}
\end_layout
\begin_layout Plain Layout
(>>=) :: m a -> (a -> m b) -> m b
\end_layout
\begin_layout Plain Layout
(>>) :: m a -> m b -> m b
\end_layout
\begin_layout Plain Layout
return :: a -> m a
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\begin_layout Plain Layout
fail :: String -> m a
\end_layout
\begin_layout Plain Layout
\end_layout
\begin_layout Plain Layout
m >> k = m >>=
\backslash
_ -> k
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\begin_layout Plain Layout
fail s = error s
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\end_inset
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\begin_layout Standard
\begin_inset Note Comment
status open
\begin_layout Plain Layout
Functor, sequence, mapM, (=<<), Maybe, maybe, Either, either, instance Functor
IO, instance Monad IO, instance Functor [], instance Monad [], IOError,
ioError, userError, catch, readIO, readLn
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
urldef
\backslash
urlmonada
\backslash
url{https://stackoverflow.com/questions/3870088/a-monad-is-just-a-monoid-in-the-c
ategory-of-endofunctors-whats-the-problem#3870310}
\end_layout
\begin_layout Plain Layout
\backslash
urldef
\backslash
urlmonadb
\backslash
url{http://james-iry.blogspot.com/2009/05/brief-incomplete-and-mostly-wrong.html}
\end_layout
\begin_layout Plain Layout
\backslash
urldef
\backslash
urlmonadc
\backslash
url{https://byorgey.wordpress.com/2009/01/12/abstraction-intuition-and-the-monad-t
utorial-fallacy/}
\end_layout
\begin_layout Plain Layout
\backslash
urldef
\backslash
urlmonadd
\backslash
url{https://blog.plover.com/prog/burritos.html}
\end_layout
\begin_layout Plain Layout
\backslash
urldef
\backslash
urlmonade
\backslash
url{https://wiki.haskell.org/All_About_Monads}
\end_layout
\begin_layout Plain Layout
\backslash
urldef
\backslash
urlmonadf
\backslash
url{https://wiki.haskell.org/Monad}
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Una
\series bold
mónada
\series default
es una instancia de
\family typewriter
Monad
\family default
con las siguientes propiedades:
\begin_inset Foot
status open
\begin_layout Plain Layout
Una mónada en
\begin_inset Formula $X$
\end_inset
es un monoide en la categoría de los endofuntores de
\begin_inset Formula $X$
\end_inset
, con el producto reemplazado por la composición de endofuntores y el conjunto
unidad por el endofuntor identidad (
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
urlmonada
\end_layout
\end_inset
).
Una mónada es un como un burrito (
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
urlmonadc
\end_layout
\end_inset
,
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
urlmonadd
\end_layout
\end_inset
).
No voy a explicar la intuición de qué es una mónada porque en el examen
sólo entra la definición formal e IO, pero hay un tutorial muy bueno en
la Wiki de Haskell (
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
urlmonade
\end_layout
\end_inset
) y una explicación resumida (
\begin_inset ERT
status open
\begin_layout Plain Layout
\backslash
urlmonadf
\end_layout
\end_inset
).
\end_layout
\end_inset
\end_layout
\begin_layout Enumerate
Identidad por la izquierda:
\family typewriter
return a >>= h = ha
\family default
.
\end_layout
\begin_layout Enumerate
Identidad por la derecha:
\family typewriter
m >>= return = m
\family default
.
\end_layout
\begin_layout Enumerate
Asociatividad:
\family typewriter
(m >>= g) >>= h = m >>= (
\backslash
x -> g x >>= h)
\family default
.
\end_layout
\begin_layout Standard
Una
\series bold
mónada de E/S
\series default
es una mónada
\family typewriter
m
\family default
que además tiene operaciones
\family typewriter
putChar :: Char -> m ()
\family default
y
\family typewriter
getChar :: m Char
\family default
, como
\family typewriter
IO
\family default
.
\family typewriter
IO a
\family default
es el tipo de las acciones que pueden realizar operaciones de E/S y devuelven
un resultado de tipo
\family typewriter
a
\family default
.
\end_layout
\begin_layout Standard
\begin_inset listings
inline false
status open
\begin_layout Plain Layout
data IO a = ...
\end_layout
\begin_layout Plain Layout
instance Monad IO where ...
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\family typewriter
return
\emph on
a
\family default
\emph default
es una acción que no hace nada y devuelve
\family typewriter
\emph on
a
\family default
\emph default
, y
\family typewriter
\emph on
m
\emph default
>>=
\emph on
h
\family default
\emph default
es una que ejecuta
\family typewriter
\emph on
m
\family default
\emph default
, le pasa el resultado a
\family typewriter
\emph on
h
\family default
\emph default
y devuelve el resultado de ejecutar la acción devuelta por
\family typewriter
\emph on
h
\family default
\emph default
, permitiendo secuenciar acciones.
\end_layout
\begin_layout Standard
\begin_inset listings
inline false
status open
\begin_layout Plain Layout
sequence_ :: Monad m => [m a] -> m ()
\end_layout
\begin_layout Plain Layout
sequence_ = foldr (>>) (return ())
\end_layout
\begin_layout Plain Layout
\end_layout
\begin_layout Plain Layout
mapM_ :: Monad m => (a -> m b) -> [a] -> m [b]
\end_layout
\begin_layout Plain Layout
mapM_ f as = sequence_ (map f as)
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Podemos definir (aunque no está en el
\family typewriter
Prelude
\family default
):
\begin_inset Foot
status open
\begin_layout Plain Layout
Está en
\family typewriter
Control.Monad.Extra
\family default
y se llama
\family typewriter
skip
\family default
.
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset listings
inline false
status open
\begin_layout Plain Layout
done :: Monad m => m ()
\end_layout
\begin_layout Plain Layout
done = return ()
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\family typewriter
putChar
\family default
imprime un caracter,
\family typewriter
getChar
\family default
lee uno de la entrada estándar y
\family typewriter
getContents
\family default
lee toda la entrada estándar en una
\family typewriter
String
\family default
de forma perezosa según se va necesitando.
\end_layout
\begin_layout Standard
\begin_inset listings
inline false
status open
\begin_layout Plain Layout
putChar :: Char -> IO ()
\end_layout
\begin_layout Plain Layout
putChar = ...
\end_layout
\begin_layout Plain Layout
\end_layout
\begin_layout Plain Layout
getChar :: IO Char
\end_layout
\begin_layout Plain Layout
getChar = ...
\end_layout
\begin_layout Plain Layout
\end_layout
\begin_layout Plain Layout
getContents :: IOString
\end_layout
\begin_layout Plain Layout
getContents = ...
\end_layout
\begin_layout Plain Layout
\end_layout
\begin_layout Plain Layout
putStr, putStrLn :: String -> IO ()
\end_layout
\begin_layout Plain Layout
putStr s = map_ putChar s
\end_layout
\begin_layout Plain Layout
putStrLn s = putStr s >> putStr
\begin_inset Quotes cld
\end_inset
\backslash
n
\begin_inset Quotes crd
\end_inset
\end_layout
\begin_layout Plain Layout
\end_layout
\begin_layout Plain Layout
print :: Show a => a -> IO ()
\end_layout
\begin_layout Plain Layout
print x = putStrLn (show x)
\end_layout
\begin_layout Plain Layout
\end_layout
\begin_layout Plain Layout
getLine :: IO String
\end_layout
\begin_layout Plain Layout
getLine = getChar >>=
\backslash
c -> if c == '
\backslash
n' then return
\begin_inset Quotes cld
\end_inset
\begin_inset Quotes crd
\end_inset
\end_layout
\begin_layout Plain Layout
else getLine >>=
\backslash
s -> return (c:s)
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\family typewriter
interact
\emph on
f
\family default
\emph default
desactiva el
\emph on
buffering
\emph default
de la entrada y salida estándar, le pasa la entrada estándar a
\family typewriter
\emph on
f
\family default
\emph default
y va imprimiendo el valor devuelto por la función, evaluándolo y pidiendo
caracteres de la entrada según sea necesario.
\end_layout
\begin_layout Standard
\begin_inset listings
inline false
status open
\begin_layout Plain Layout
interact :: (String -> String) -> IO ()
\end_layout
\begin_layout Plain Layout
interact f = hSetBuffering stdin NoBuffering >>=
\end_layout
\begin_layout Plain Layout
hSetBuffering stdout NoBuffering >>=
\end_layout
\begin_layout Plain Layout
s <- getContents >>= putStr (f s)
\end_layout
\begin_layout Plain Layout
where hSetBuffering = ...
\end_layout
\end_inset
\end_layout
\begin_layout Standard
\begin_inset Newpage pagebreak
\end_inset
\end_layout
\begin_layout Standard
\family typewriter
readFile
\family default
lee el contenido de un fichero de forma perezosa,
\family typewriter
writeFile
\family default
escribe un fichero y
\family typewriter
appendFile
\family default
añade contenido al final de uno.
\end_layout
\begin_layout Standard
\begin_inset listings
inline false
status open
\begin_layout Plain Layout
type FilePath = String
\end_layout
\begin_layout Plain Layout
readFile :: FilePath -> IO String
\end_layout
\begin_layout Plain Layout
readFile = ...
\end_layout
\begin_layout Plain Layout
\end_layout
\begin_layout Plain Layout
writeFile, appendFile :: FilePath -> String -> IO ()
\end_layout
\begin_layout Plain Layout
writeFile = ...
\end_layout
\begin_layout Plain Layout
appendFile = ...
\end_layout
\end_inset
\end_layout
\begin_layout Standard
Un programa en Haskell es una colección de módulos de los que uno es el
principal y tiene un vínculo
\family typewriter
main :: IO ()
\family default
, que se ejecuta al ejecutar el programa.
\end_layout
\end_body
\end_document
|