Providence Salumu
Table of Contents
In this chapter, we'll develop a small, but complete, Haskell library. Our library will manipulate and serialize data in a popular form known as JSON.
The JSON (JavaScript Object Notation) language is a small, simple representation for storing and transmitting structured data, for example over a network connection. It is most commonly used to transfer data from a web service to a browser-based JavaScript application. The JSON format is described at www.json.org, and in greater detail by RFC 4627.
JSON supports four basic types of value: strings,
numbers, booleans, and a special value named
null
.
"a string" 12345 true null
The language provides two compound types: an array is an ordered sequence of values, and an object is an unordered collection of name/value pairs. The names in an object are always strings; the values in an object or array can be of any type.
[-3.14, true, null, "a string"] {"numbers": [1,2,3,4,5], "useful": false}
To work with JSON data in Haskell, we use an algebraic data type to represent the range of possible JSON types.
-- file: ch05/SimpleJSON.hs data JValue = JString String | JNumber Double | JBool Bool | JNull | JObject [(String, JValue)] | JArray [JValue] deriving (Eq, Ord, Show)
For each JSON type, we supply a distinct value
constructor. Some of these constructors have parameters: if we
want to construct a JSON string, we must provide a
String value as an argument to the
JString
constructor.
To start experimenting with this code, save the
file SimpleJSON.hs
in your editor, switch
to a ghci window, and load the file into ghci.
ghci>
:load SimpleJSON
[1 of 1] Compiling SimpleJSON ( SimpleJSON.hs, interpreted ) Ok, modules loaded: SimpleJSON.ghci>
JString "foo"
JString "foo"ghci>
JNumber 2.7
JNumber 2.7ghci>
:type JBool True
JBool True :: JValue
We can see how to use a constructor to take a
normal Haskell value and turn it into a JValue. To
do the reverse, we use pattern matching. Here's a function that
we can add to SimpleJSON.hs
that will
extract a string from a JSON value for us. If the JSON value
actually contains a string, our function will wrap the string
with the Just
constructor. Otherwise, it will
return Nothing
.
-- file: ch05/SimpleJSON.hs getString :: JValue -> Maybe String getString (JString s) = Just s getString _ = Nothing
When we save the modified source file, we can reload it in ghci and try the new definition. (The :reload command remembers the last source file we loaded, so we do not need to name it explicitly.)
ghci>
:reload
Ok, modules loaded: SimpleJSON.ghci>
getString (JString "hello")
Just "hello"ghci>
getString (JNumber 3)
Nothing
A few more accessor functions, and we've got a small body of code to work with.
-- file: ch05/SimpleJSON.hs getInt (JNumber n) = Just (truncate n) getInt _ = Nothing getDouble (JNumber n) = Just n getDouble _ = Nothing getBool (JBool b) = Just b getBool _ = Nothing getObject (JObject o) = Just o getObject _ = Nothing getArray (JArray a) = Just a getArray _ = Nothing isNull v = v == JNull
The truncate
function turns a floating
point or rational number into an integer by dropping the digits
after the decimal point.
ghci>
truncate 5.8
5ghci>
:module +Data.Ratio
ghci>
truncate (22 % 7)
3
A Haskell source file contains a definition of a single module. A module lets us determine which names inside the module are accessible from other modules.
A source file begins with a module declaration. This must precede all other definitions in the source file.
-- file: ch05/SimpleJSON.hs module SimpleJSON ( JValue(..) , getString , getInt , getDouble , getBool , getObject , getArray , isNull ) where
The word module
is reserved. It is
followed by the name of the module, which must begin with a
capital letter. A source file must have the same base
name (the component before the suffix) as the name
of the module it contains. This is why our file
SimpleJSON.hs
contains a module named
SimpleJSON
.
Following the module name is a list of
exports, enclosed in parentheses. The
where
keyword indicates that the body of the module
follows.
The list of exports indicates which names in this
module are visible to other modules. This lets us keep
private code hidden from the outside world. The special notation
(..)
that follows the name JValue
indicates that we are exporting both the type and all of its
constructors.
It might seem strange that we can export a type's name (i.e. its type constructor), but not its value constructors. The ability to do this is important: it lets us hide the details of a type from its users, making the type abstract. If we cannot see a type's value constructors, we cannot pattern match against a value of that type, nor can we construct a new value of that type. Later in this chapter, we'll discuss some situations in which we might want to make a type abstract.
If we omit the exports (and the parentheses that enclose them) from a module declaration, every name in the module will be exported.
-- file: ch05/Exporting.hs module ExportEverything where
To export no names at all (which is rarely useful), we write an empty export list using a pair of parentheses.
-- file: ch05/Exporting.hs module ExportNothing () where
In addition to the ghci interpreter, the GHC distribution includes a compiler, ghc, that generates native code. If you are already familiar with a command line compiler such as gcc or cl (the C++ compiler component of Microsoft's Visual Studio), you'll immediately be at home with ghc.
To compile a source file, we first open a terminal or command prompt window, then invoke ghc with the name of the source file to compile.
ghc -c SimpleJSON.hs
The -c
option tells ghc to only
generate object code. If we were to omit the
-c
option, the compiler would attempt to
generate a complete executable. That would fail, because we
haven't written a main
function, which
GHC calls to start the execution of a standalone
program.
After ghc completes, if we list the contents of
the directory, it should contain two new files:
SimpleJSON.hi
and
SimpleJSON.o
. The former is an
interface file, in which ghc stores
information about the names exported from our module in
machine-readable form. The latter is an object
file, which contains the generated machine
code.
Now that we've successfully compiled our minimal
library, we'll write a tiny program to exercise it. Create the
following file in your text editor, and save it as
Main.hs
.
-- file: ch05/Main.hs module Main () where import SimpleJSON main = print (JObject [("foo", JNumber 1), ("bar", JBool False)])
Notice the import
directive that
follows the module declaration. This indicates that we want to
take all of the names that are exported from the
SimpleJSON
module, and make them available in our
module. Any import
directives must appear in a
group at the beginning of a module. They must appear after the
module declaration, but before all other code. We cannot, for
example, scatter them throughout a source file.
Our choice of naming for the source file and
function is deliberate. To create an executable, ghc
expects a module named Main
that contains a
function named main
. The
main
function is the one that will be
called when we run the program once we've built it.
ghc -o simple Main.hs SimpleJSON.o
This time around, we're omitting the
-c
option when we invoke ghc, so it will
attempt to generate an executable. The process of generating an
executable is called linking. As our
command line suggests, ghc is perfectly able to both compile
source files and link an executable in a single
invocation.
We pass ghc a new option,
-o
, which takes one argument: this is the name
of the executable that ghc should create[10]. Here, we've decided
to name the program simple
. On Windows,
the program will have the suffix .exe
, but
on Unix variants there will not be a suffix.
Finally, we supply the name of our new source
file, Main.hs
, and the object file we
already compiled, SimpleJSON.o
. We must
explicitly list every one of our files that contains code that
should end up in the executable. If we forget a source or
object file, ghc will complain about undefined
symbols, which indicates that some of the
definitions that it needs are not provided in the files we have
supplied.
When compiling, we can pass ghc any mixture of source and object files. If ghc notices that it has already compiled a source file into an object file, it will only recompile the source file if we've modified it.
Once ghc has finished compiling and linking our
simple
program, we can run it from the
command line.
Now that we have a Haskell representation for JSON's types, we'd like to be able to take Haskell values and render them as JSON data.
There are a few ways we could go about this. Perhaps the most direct would be to write a rendering function that prints a value in JSON form. Once we're done, we'll explore some more interesting approaches.
-- file: ch05/PutJSON.hs module PutJSON where import Data.List (intercalate) import SimpleJSON renderJValue :: JValue -> String renderJValue (JString s) = show s renderJValue (JNumber n) = show n renderJValue (JBool True) = "true" renderJValue (JBool False) = "false" renderJValue JNull = "null" renderJValue (JObject o) = "{" ++ pairs o ++ "}" where pairs [] = "" pairs ps = intercalate ", " (map renderPair ps) renderPair (k,v) = show k ++ ": " ++ renderJValue v renderJValue (JArray a) = "[" ++ values a ++ "]" where values [] = "" values vs = intercalate ", " (map renderJValue vs)
Good Haskell style involves separating pure code
from code that performs I/O. Our
renderJValue
function has no interaction
with the outside world, but we still need to be able to print a
JValue.
-- file: ch05/PutJSON.hs putJValue :: JValue -> IO () putJValue v = putStrLn (renderJValue v)
Printing a JSON value is now easy.
Why should we separate the rendering code from the code that actually prints a value? This gives us flexibility. For instance, if we wanted to compress the data before writing it out, and we intermixed rendering with printing, it would be much more difficult to adapt our code to that change in circumstances.
This idea of separating pure from impure code is powerful, and pervasive in Haskell code. Several Haskell compression libraries exist, all of which have simple interfaces: a compression function accepts an uncompressed string and returns a compressed string. We can use function composition to render JSON data to a string, then compress to another string, postponing any decision on how to actually display or transmit the data.
A Haskell compiler's ability to infer types is powerful and valuable. Early on, you'll probably be faced by a strong temptation to take advantage of type inference by omitting as many type declarations as possible: let's simply make the compiler figure the whole lot out!
Skimping on explicit type information has a downside, one that disproportionately affects new Haskell programmer. As a new Haskell programmer, we're extremely likely to write code that will fail to compile due to straightforward type errors.
When we omit explicit type information, we force the compiler to figure out our intentions. It will infer types that are logical and consistent, but perhaps not at all what we meant. If we and the compiler unknowingly disagree about what is going on, it will naturally take us longer to find the source of our problem.
Suppose, for instance, that we write a function that we believe returns a String, but we don't write a type signature for it.
-- file: ch05/Trouble.hs upcaseFirst (c:cs) = toUpper c -- forgot ":cs" here
Here, we want to upper-case the first character of a word, but we've forgotten to append the rest of the word onto the result. We think our function's type is String -> String, but the compiler will correctly infer its type as String -> Char. Let's say we then try to use this function somewhere else.
-- file: ch05/Trouble.hs camelCase :: String -> String camelCase xs = concat (map upcaseFirst (words xs))
When we try to compile this code or load it into ghci, we won't necessarily get an obvious error message.
ghci>
:load Trouble
[1 of 1] Compiling Main ( Trouble.hs, interpreted ) Trouble.hs:9:27: Couldn't match expected type `[Char]' against inferred type `Char' Expected type: [Char] -> [Char] Inferred type: [Char] -> Char In the first argument of `map', namely `upcaseFirst' In the first argument of `concat', namely `(map upcaseFirst (words xs))' Failed, modules loaded: none.
Notice that the error is reported where we
use the upcaseFirst
function. If we're erroneously convinced that our definition
and type for upcaseFirst
are correct, we
may end up staring at the wrong piece of code for quite a while,
until enlightenment strikes.
Every time we write a type signature, we remove a degree of freedom from the type inference engine. This reduces the likelihood of divergence between our understanding of our code and the compiler's. Type declarations also act as shorthand for ourselves as readers of our own code, making it easier for us to develop a sense of what must be going on.
This is not to say that we need to pepper every tiny fragment of code with a type declaration. It is, however, usually good form to add a signature to every top-level definition in our code. It's best to start out fairly aggressive with explicit type signatures, and slowly ease back as your mental model of how type checking works becomes more accurate.
Our JSON rendering code is narrowly tailored to the exact needs of our data types and the JSON formatting conventions. The output it produces can be unfriendly to human eyes. We will now look at rendering as a more generic task: how can we build a library that is useful for rendering data in a variety of situations?
We would like to produce output that is suitable either for human consumption (e.g. for debugging) or for machine processing. Libraries that perform this job are referred to as pretty printers. There already exist several Haskell pretty printing libraries. We are creating one of our own not to replace them, but for the many useful insights we will gain into both library design and functional programming techniques.
We will call our generic pretty printing module
Prettify
, so our code will go into a source file
named Prettify.hs
.
To make sure that Prettify
meets practical
needs, we write a new JSON renderer that uses the
Prettify
API. After we're done, we'll go back and
fill in the details of the Prettify
module.
Instead of rendering straight to a string, our
Prettify
module will use an abstract type that
we'll call Doc. By basing our generic rendering
library on an abstract type, we can choose an implementation
that is flexible and efficient. If we decide to change the
underlying code, our users will not be able to tell.
We will name our new JSON rendering module
PrettyJSON.hs
, and retain the name
renderJValue
for the rendering function.
Rendering one of the basic JSON values is
straightforward.
-- file: ch05/PrettyJSON.hs renderJValue :: JValue -> Doc renderJValue (JBool True) = text "true" renderJValue (JBool False) = text "false" renderJValue JNull = text "null" renderJValue (JNumber num) = double num renderJValue (JString str) = string str
The text
,
double
, and string
functions will be provided by our Prettify
module.
Early on, as we come to grips with Haskell development, we have so many new, unfamiliar concepts to keep track of at one time that it can be a challenge to write code that compiles at all.
As we write our first substantial body of code, it's a huge help to pause every few minutes and try to compile what we've produced so far. Because Haskell is so strongly typed, if our code compiles cleanly, we're assuring ourselves that we're not wandering too far off into the programming weeds.
One useful technique for quickly developing the
skeleton of a program is to write placeholder, or
stub versions of types and functions. For
instance, we mentioned above that our
string
, text
and
double
functions would be provided by our
Prettify
module. If we don't provide definitions
for those functions or the Doc type, our attempts
to “compile early, compile often” with our JSON
renderer will fail, as the compiler won't know anything about
those functions. To avoid this problem, we write stub code that
doesn't do anything.
-- file: ch05/PrettyStub.hs import SimpleJSON data Doc = ToBeDefined deriving (Show) string :: String -> Doc string str = undefined text :: String -> Doc text str = undefined double :: Double -> Doc double num = undefined
The special value undefined
has the
type a
, so it always typechecks,
no matter where we use it. If we attempt to evaluate it, it
will cause our program to crash.
ghci>
:type undefined
undefined :: aghci>
undefined
*** Exception: Prelude.undefinedghci>
:type double
double :: Double -> Docghci>
double 3.14
*** Exception: Prelude.undefined
Even though we can't yet run our stubbed code, the compiler's type checker will ensure that our program is sensibly typed.
When we must pretty print a string value, JSON has moderately involved escaping rules that we must follow. At the highest level, a string is just a series of characters wrapped in quotes.
-- file: ch05/PrettyJSON.hs string :: String -> Doc string = enclose '"' '"' . hcat . map oneChar
The enclose
function simply wraps a
Doc value with an opening and closing
character.
-- file: ch05/PrettyJSON.hs enclose :: Char -> Char -> Doc -> Doc enclose left right x = char left <> x <> char right
We provide a (<>)
function in our pretty printing library. It appends two
Doc values, so it's the Doc equivalent of
(++)
.
-- file: ch05/PrettyStub.hs (<>) :: Doc -> Doc -> Doc a <> b = undefined char :: Char -> Doc char c = undefined
Our pretty printing library also provides
hcat
, which concatenates multiple
Doc values into one: it's the analogue of
concat
for lists.
-- file: ch05/PrettyStub.hs hcat :: [Doc] -> Doc hcat xs = undefined
Our string
function applies
the oneChar
function to every character in
a string, concatenates the lot, and encloses the result in
quotes. The oneChar
function escapes or
renders an individual character.
-- file: ch05/PrettyJSON.hs oneChar :: Char -> Doc oneChar c = case lookup c simpleEscapes of Just r -> text r Nothing | mustEscape c -> hexEscape c | otherwise -> char c where mustEscape c = c < ' ' || c == '\x7f' || c > '\xff' simpleEscapes :: [(Char, String)] simpleEscapes = zipWith ch "\b\n\f\r\t\\\"/" "bnfrt\\\"/" where ch a b = (a, ['\\',b])
The simpleEscapes
value is a
list of pairs. We call a list of pairs an association
list, or alist for short.
Each element of our alist associates a character with
its escaped representation.
ghci>
take 4 simpleEscapes
[('\b',"\\b"),('\n',"\\n"),('\f',"\\f"),('\r',"\\r")]
Our case
expression attempts to see if our
character has a match in this alist. If we find the match, we
emit it, otherwise we might need to escape the character in a
more complicated way. If so, we perform this escaping. Only if
neither kind of escaping is required do we emit the plain
character. To be conservative, the only unescaped characters we
emit are printable ASCII characters.
The more complicated escaping involves turning a character
into the string “\u
” followed by a
four-character sequence of hexadecimal digits representing the
numeric value of the Unicode character.
-- file: ch05/PrettyJSON.hs smallHex :: Int -> Doc smallHex x = text "\\u" <> text (replicate (4 - length h) '0') <> text h where h = showHex x ""
The showHex
function comes
from the Numeric
library (you will need to import
this at the beginning of Prettify.hs
), and
returns a hexadecimal representation of a number.
ghci>
showHex 114111 ""
"1bdbf"
The replicate
function is provided by
the Prelude, and builds a fixed-length repeating list of its
argument.
ghci>
replicate 5 "foo"
["foo","foo","foo","foo","foo"]
There's a wrinkle: the four-digit encoding that
smallHex
provides can only represent
Unicode characters up to 0xffff
. Valid Unicode
characters can range up to 0x10ffff
. To properly
represent a character above 0xffff
in a JSON
string, we follow some complicated rules to split it into two.
This gives us an opportunity to perform some bit-level
manipulation of Haskell numbers.
-- file: ch05/PrettyJSON.hs astral :: Int -> Doc astral n = smallHex (a + 0xd800) <> smallHex (b + 0xdc00) where a = (n `shiftR` 10) .&. 0x3ff b = n .&. 0x3ff
The shiftR
function comes from the
Data.Bits
module, and shifts a number to the right.
The (.&.)
function, also from
Data.Bits
, performs a bit-level
and of two values.
ghci>
0x10000 `shiftR` 4 :: Int
4096ghci>
7 .&. 2 :: Int
2
Now that we've written smallHex
and
astral
, we can provide a definition for
hexEscape
.
-- file: ch05/PrettyJSON.hs hexEscape :: Char -> Doc hexEscape c | d < 0x10000 = smallHex d | otherwise = astral (d - 0x10000) where d = ord c
Compared to strings, pretty printing arrays and objects is a snap. We already know that the two are visually similar: each starts with an opening character, followed by a series of values separated with commas, followed by a closing character. Let's write a function that captures the common structure of arrays and objects.
-- file: ch05/PrettyJSON.hs series :: Char -> Char -> (a -> Doc) -> [a] -> Doc series open close item = enclose open close . fsep . punctuate (char ',') . map item
We'll start by interpreting this function's type. It takes
an opening and closing character, then a function that knows how
to pretty print a value of some unknown type a
, followed by a list of values of type
a
, and it returns a value of type
Doc.
Notice that although our type signature mentions four
parameters, we have only listed three in the definition of the
function. We are simply following the same rule that lets us
simplify a definiton like myLength xs = length xs
to myLength = length
.
We have already written enclose
,
which wraps a Doc value in opening and closing
characters. The fsep
function will live in
our Prettify
module. It combines a list of
Doc values into one, possibly wrapping lines if the
output will not fit on a single line.
-- file: ch05/PrettyStub.hs fsep :: [Doc] -> Doc fsep xs = undefined
By now, you should be able to define your own stubs in
Prettify.hs
, by following the examples we
have supplied. We will not explicitly define any more
stubs.
The punctuate
function will also live
in our Prettify
module, and we can define it in
terms of functions for which we've already written stubs.
-- file: ch05/Prettify.hs punctuate :: Doc -> [Doc] -> [Doc] punctuate p [] = [] punctuate p [d] = [d] punctuate p (d:ds) = (d <> p) : punctuate p ds
With this definition of series
, pretty
printing an array is entirely straightforward. We add this
equation to the end of the block we've already written for our
renderJValue
function.
-- file: ch05/PrettyJSON.hs renderJValue (JArray ary) = series '[' ']' renderJValue ary
To pretty print an object, we need to do only a little more work: for each element, we have both a name and a value to deal with.
-- file: ch05/PrettyJSON.hs renderJValue (JObject obj) = series '{' '}' field obj where field (name,val) = string name <> text ": " <> renderJValue val
Now that we have written the bulk of our
PrettyJSON.hs
file, we must go back to the
top and add a module declaration.
-- file: ch05/PrettyJSON.hs module PrettyJSON ( renderJValue ) where import Numeric (showHex) import Data.Char (ord) import Data.Bits (shiftR, (.&.)) import SimpleJSON (JValue(..)) import Prettify (Doc, (<>), char, double, fsep, hcat, punctuate, text, compact, pretty)
We export just one name from this module:
renderJValue
, our JSON rendering function.
The other definitions in the module exist purely to support
renderJValue
, so there's no reason to make
them visible to other modules.
Regarding imports, the Numeric
and
Data.Bits
modules are distributed with GHC. We've
already written the SimpleJSON
module, and filled
our Prettify
module with skeletal definitions.
Notice that there's no difference in the way we import standard
modules from those we've written ourselves.
With each import
directive, we explicitly list
each of the names we want to bring into our module's namespace.
This is not required: if we omit the list of names, all of the
names exported from a module will be available to us. However,
it's generally a good idea to write an explicit import
list.
An explicit list makes it clear which names we're importing from where. This will make it easier for a reader to look up documentation if they encounter an unfamiliar function.
Occasionally, a library maintainer will remove or rename a function. If a function disappears from a third party module that we use, any resulting compilation error is likely to happen long after we've written the module. The explicit list of imported names can act as a reminder to ourselves of where we had been importing the missing name from, which will help us to pinpoint the problem more quickly.
It can also occur that someone will add a name to a module that is identical to a name already in our own code. If we don't use an explicit import list, we'll end up with the same name in our module twice. If we use that name, GHC will report an error due to the ambiguity. An explicit list lets us avoid the possibility of accidentally importing an unexpected new name.
This idea of using explicit imports is a guideline that usually makes sense, not a hard-and-fast rule. Occasionally, we'll need so many names from a module that listing each one becomes messy. In other cases, a module might be so widely used that a moderately experienced Haskell programmer will probably know which names come from that module.
In our Prettify
module, we represent our
Doc type as an algebraic data type.
-- file: ch05/Prettify.hs data Doc = Empty | Char Char | Text String | Line | Concat Doc Doc | Union Doc Doc deriving (Show,Eq)
Observe that the Doc type is actually
a tree. The Concat
and Union
constructors create an internal node from two other
Doc values, while the Empty
and other
simple constructors build leaves.
In the header of our module, we will export the name of the type, but not any of its constructors: this will prevent modules that use the Doc type from creating and pattern matching against Doc values.
Instead, to create a Doc, a user of
the Prettify
module will call a function that we
provide. Here are the simple construction functions. As we add
real definitions, we must replace any stubbed versions already
in the Prettify.hs
source file.
-- file: ch05/Prettify.hs empty :: Doc empty = Empty char :: Char -> Doc char c = Char c text :: String -> Doc text "" = Empty text s = Text s double :: Double -> Doc double d = text (show d)
The Line
constructor represents a line break.
The line
function creates
hard line breaks, which always appear in
the pretty printer's output. Sometimes we'll want a
soft line break, which is only used if a
line is too wide to fit in a window or page. We'll introduce a
softline
function shortly.
-- file: ch05/Prettify.hs line :: Doc line = Line
Almost as simple as the basic constructors is the
(<>)
function, which concatenates two
Doc values.
-- file: ch05/Prettify.hs (<>) :: Doc -> Doc -> Doc Empty <> y = y x <> Empty = x x <> y = x `Concat` y
We pattern match against Empty
so
that concatenating a Doc value with
Empty
on the left or right will have no effect.
This keeps us from bloating the tree with useless values.
ghci>
text "foo" <> text "bar"
Concat (Text "foo") (Text "bar")ghci>
text "foo" <> empty
Text "foo"ghci>
empty <> text "bar"
Text "bar"
Our hcat
and fsep
functions concatenate a list of Doc values into
one. In the section called “Exercises”, we mentioned that we could
define concatenation for lists using
foldr
.
-- file: ch05/Concat.hs concat :: [[a]] -> [a] concat = foldr (++) []
Since (<>)
is analogous to
(++)
, and empty
to
[]
, we can see how we might write
hcat
and fsep
as
folds, too.
-- file: ch05/Prettify.hs hcat :: [Doc] -> Doc hcat = fold (<>) fold :: (Doc -> Doc -> Doc) -> [Doc] -> Doc fold f = foldr f empty
The definition of fsep
depends on
several other functions.
-- file: ch05/Prettify.hs fsep :: [Doc] -> Doc fsep = fold (</>) (</>) :: Doc -> Doc -> Doc x </> y = x <> softline <> y softline :: Doc softline = group line
These take a little explaining. The
softline
function should insert a newline
if the current line has become too wide, or a space otherwise.
How can we do this if our Doc type doesn't contain
any information about rendering? Our answer is that every time
we encounter a soft newline, we maintain
two alternative representations of the
document, using the Union
constructor.
-- file: ch05/Prettify.hs group :: Doc -> Doc group x = flatten x `Union` x
Our flatten
function replaces a
Line
with a space, turning two lines into one
longer line.
-- file: ch05/Prettify.hs flatten :: Doc -> Doc flatten (x `Concat` y) = flatten x `Concat` flatten y flatten Line = Char ' ' flatten (x `Union` _) = flatten x flatten other = other
Notice that we always call
flatten
on the left element of a
Union
: the left of each Union
is
always the same width (in characters) as, or wider than, the
right. We'll be making use of this property in our rendering
functions below.
We frequently need to use a representation for a piece of data that contains as few characters as possible. For example, if we're sending JSON data over a network connection, there's no sense in laying it out nicely: the software on the far end won't care whether the data is pretty or not, and the added white space needed to make the layout look good would add a lot of overhead.
For these cases, and because it's a simple piece of code to start with, we provide a bare-bones compact rendering function.
-- file: ch05/Prettify.hs compact :: Doc -> String compact x = transform [x] where transform [] = "" transform (d:ds) = case d of Empty -> transform ds Char c -> c : transform ds Text s -> s ++ transform ds Line -> '\n' : transform ds a `Concat` b -> transform (a:b:ds) _ `Union` b -> transform (b:ds)
The compact
function wraps its
argument in a list, and applies the
transform
helper function to it. The
transform
function treats its argument as
a stack of items to process, where the first element of the
list is the top of the stack.
The transform
function's
(d:ds)
pattern breaks the stack into its head,
d
, and the remainder,
ds
. In our case
expression, the first
several branches recurse on ds
, consuming
one item from the stack for each recursive application. The
last two branches add items in front of ds
:
the Concat
branch adds both elements to the
stack, while the Union
branch ignores its left
element, on which we called flatten
, and
adds its right element to the stack.
We have now fleshed out enough of our original skeletal
definitions that we can try out our
compact
function in ghci.
ghci>
let value = renderJValue (JObject [("f", JNumber 1), ("q", JBool True)])
ghci>
:type value
value :: Docghci>
putStrLn (compact value)
{"f": 1.0, "q": true }
To better understand how the code works, let's look at a simpler example in more detail.
ghci>
char 'f' <> text "oo"
Concat (Char 'f') (Text "oo")ghci>
compact (char 'f' <> text "oo")
"foo"
When we apply compact
, it turns its
argument into a list and applies
transform
.
The transform
function receives a
one-item list, which matches the (d:ds)
pattern. Thus d
is the value
Concat (Char 'f') (Text "oo")
, and
ds
is the empty list,
[]
.
Since d
's constructor is
Concat
, the Concat
pattern
matches in the case
expression. On the right hand side,
we add Char 'f'
and Text "oo"
to
the stack, and apply
transform
recursively.
The transform
function
receives a two-item list, again matching the
(d:ds)
pattern. The variable
d
is bound to Char
'f'
, and ds
to [Text
"oo"]
.
The case
expression matches in the
Char
branch. On the right hand side, we
use (:)
to construct a list whose
head is 'f'
, and whose body is the result
of a recursive application of
transform
.
While our compact
function is useful
for machine-to-machine communication, its result is not always
easy for a human to follow: there's very little information on
each line. To generate more readable output, we'll write
another function, pretty
. Compared to
compact
, pretty
takes one extra argument: the maximum width of a line, in
columns. (We're assuming that our typeface is of fixed
width.)
-- file: ch05/Prettify.hs pretty :: Int -> Doc -> String
To be more precise, this Int parameter
controls the behaviour of pretty
when it
encounters a softline
. Only at a
softline
does pretty
have the option of either continuing the current line or
beginning a new line. Elsewhere, we must strictly follow the
directives set out by the person using our pretty printing
functions.
Here's the core of our implementation
-- file: ch05/Prettify.hs pretty width x = best 0 [x] where best col (d:ds) = case d of Empty -> best col ds Char c -> c : best (col + 1) ds Text s -> s ++ best (col + length s) ds Line -> '\n' : best 0 ds a `Concat` b -> best col (a:b:ds) a `Union` b -> nicest col (best col (a:ds)) (best col (b:ds)) best _ _ = "" nicest col a b | (width - least) `fits` a = a | otherwise = b where least = min width col
Our best
helper function takes two
arguments: the number of columns emitted so far on the current
line, and the list of remaining Doc values to
process.
In the simple cases, best
updates the
col
variable in straightforward ways as it
consumes the input. Even the Concat
case is
obvious: we push the two concatenated components onto our
stack/list, and don't touch col
.
The interesting case involves the
Union
constructor. Recall that we applied
flatten
to the left element, and did
nothing to the right. Also, remember that
flatten
replaces newlines with spaces.
Therefore, our job is to see which (if either) of the two
layouts, the flatten
ed one or the
original, will fit into our width
restriction.
To do this, we write a small helper that determines whether a single line of a rendered Doc value will fit into a given number of columns.
-- file: ch05/Prettify.hs fits :: Int -> String -> Bool w `fits` _ | w < 0 = False w `fits` "" = True w `fits` ('\n':_) = True w `fits` (c:cs) = (w - 1) `fits` cs
In order to understand how this code works, let's first consider a simple Doc value.
ghci>
empty </> char 'a'
Concat (Union (Char ' ') Line) (Char 'a')
We'll apply pretty 2
on this value.
When we first apply best
, the value of
col
is zero. It matches the Concat
case, pushes the values Union (Char ' ') Line
and
Char 'a'
onto the stack, and applies itself
recursively. In the recursive application, it matches on
Union (Char ' ') Line
.
At this point, we're going to ignore Haskell's usual order
of evaluation. This keeps our explanation of what's going on
simple, without changing the end result. We now have two
subexpressions, best 0 [Char ' ', Char 'a']
and
best 0 [Line, Char 'a']
. The first evaluates to
" a"
, and the second to "\na"
. We
then substitute these into the outer expression to give
nicest 0 " a" "\na"
.
To figure out what the result of
nicest
is here, we do a little
substitution. The values of width
and
col
are 0 and 2, respectively, so
least
is 0, and width - least
is 2. We quickly evaluate 2 `fits` " a"
in
ghci.
ghci>
2 `fits` " a"
True
Since this evaluates to True
, the result of
nicest
here is " a"
.
If we apply our pretty
function to
the same JSON data as earlier, we can see that it produces
different output depending on the width that we give
it.
ghci>
putStrLn (pretty 10 value)
{"f": 1.0, "q": true }ghci>
putStrLn (pretty 20 value)
{"f": 1.0, "q": true }ghci>
putStrLn (pretty 30 value)
{"f": 1.0, "q": true }
Our current pretty printer is spartan, so that it will fit within our space constraints, but there are a number of useful improvements we can make.
The Haskell community has built a standard set of tools, named Cabal, that help with building, installing, and distributing software. Cabal organises software as a package. A package contains one library, and possibly several executable programs.
To do anything with a package, Cabal needs a description
of it. This is contained in a text file whose name ends with
the suffix .cabal
. This file belongs in
the top-level directory of your project. It has a simple
format, which we'll describe below.
A Cabal package must have a name. Usually, the
name of the package matches the name of the
.cabal
file. We'll call our package
mypretty
, so our file is
mypretty.cabal
. Often, the directory
that contains a .cabal
file will have the
same name as the package, e.g. mypretty
.
A package description begins with a series of global properties, which apply to every library and executable in the package.
Name: mypretty Version: 0.1 -- This is a comment. It stretches to the end of the line.
Package names must be unique. If you create and install a package that has the same name as a package already present on your system, GHC will become very confused.
The global properties include a substantial amount of information that is intended for human readers, not Cabal itself.
Synopsis: My pretty printing library, with JSON support Description: A simple pretty printing library that illustrates how to develop a Haskell library. Author: Real World Haskell Maintainer: nobody@realworldhaskell.org
As the Description
field indicates, a field
can span multiple lines, provided they're indented.
Also included in the global properties is license
information. Most Haskell packages are licensed under the BSD
license, which Cabal calls BSD3
[11]. (Obviously, you're free to choose whatever
license you think is appropriate.) The optional
License-File
field lets us specify the name of a
file that contains the exact text of our package's licensing
terms.
The features supported by successive versions of Cabal evolve over time, so it's wise to indicate what versions of Cabal we expect to be compatible with. The features we are describing are supported by versions 1.2 and higher of Cabal.
Cabal-Version: >= 1.2
To describe an individual library within a package, we write a library section. The use of indentation here is significant: the contents of a section must be indented.
library Exposed-Modules: Prettify PrettyJSON SimpleJSON Build-Depends: base >= 2.0
The Exposed-Modules
field contains a list of
modules that should be available to users of this package. An
optional field, Other-Modules
, contains a list of
internal modules. These are required for
this library to function, but will not be visible to
users.
The Build-Depends
field contains a
comma-separated list of packages that our library requires to
build. For each package, we can optionally specify the range
of versions with which this library is known to work. The
base
package contains many of the core Haskell
modules, such as the Prelude, so it's effectively always
required.
GHC includes a simple package manager that tracks which packages are installed, and what the versions of those packages are. A command line tool named ghc-pkg lets us work with its package databases.
We say databases because GHC distinguishes between system-wide packages, which are available to every user, and per-user packages, which are only visible to the current user. The per-user database lets us avoid the need for administrative privileges to install packages.
The ghc-pkg command provides subcommands to address
different tasks. Most of the time, we'll only need two of
them. The ghc-pkg list
command lets us see what
packages are installed. When we want to uninstall a package,
ghc-pkg unregister
tells GHC that we won't be
using a particular package any longer. (We will have to
manually delete the installed files ourselves.)
In addition to a .cabal
file, a
package must contain a setup file. This
allows Cabal's build process to be heavily customised, if a
package needs it. The simplest setup file looks like
this.
-- file: ch05/Setup.hs #!/usr/bin/env runhaskell import Distribution.Simple main = defaultMain
We save this file under the name
Setup.hs
.
Once we have the .cabal
and
Setup.hs
files written, we have three
steps left.
To instruct Cabal how to build and where to install a package, we run a simple command.
$
runghc Setup configure
This ensures that the packages we need are available, and stores settings to be used later by other Cabal commands.
If we do not provide any arguments to
configure
, Cabal will install our package in the
system-wide package database. To install it into our home
directory and our personal package database, we must provide a
little more information.
$
runghc Setup configure --prefix=$HOME --user
Following the configure
step, we build the
package.
$
runghc Setup build
If this succeeds, we can install the package.
We don't need to indicate where to install to: Cabal will use
the settings we provided in the configure
step.
It will install to our own directory and update GHC's
per-user package database.
$
runghc Setup install
GHC already bundles a pretty printing library,
Text.PrettyPrint.HughesPJ
. It provides the same
basic API as our example, but a much richer and more useful set
of pretty printing functions. We recommend using it, rather
than writing your own.
The design of the HughesPJ
pretty printer was
introduced by John Hughes in [Hughes95]. The library was
subsequently improved by Simon Peyton Jones, hence the name.
Hughes's paper is long, but well worth reading for his
discussion of how to design a library in Haskell.
In this chapter, our pretty printing library is
based on a simpler system described by Philip Wadler in
[Wadler98]. His
library was extended by Daan Leijen; this version is available
for download from Hackage as wl-pprint
. If
you use the cabal command line tool, you can
download, build, and install it in one step with cabal
install wl-pprint.