Parser
Parsers
A Parser
helps turn a String
into nicely structured data. For example,
we can run
the int
parser to turn String
to Int
:
run int "123456" == Ok 123456
run int "3.1415" == Err ...
The cool thing is that you can combine Parser
values to handle much more
complex scenarios.
Try a parser. Here are some examples using the keyword
parser:
run (keyword "true") "true" == Ok {}
run (keyword "true") "True" == Err ...
run (keyword "true") "false" == Err ...
run (keyword "true") "true!" == Ok {}
Notice the last case! A Parser
will chomp as much as possible and not worry
about the rest. Use the end
parser to ensure you made it to the end
of the string!
Building Blocks
Parse integers.
run int "1" == Ok 1
run int "1234" == Ok 1234
run int "-789" == Err ...
run int "0123" == Err ...
run int "1.34" == Err ...
run int "1e31" == Err ...
run int "123a" == Err ...
run int "0x1A" == Err ...
If you want to handle a leading +
or -
you should do it with a custom
parser like this:
myInt : Parser Int
myInt =
oneOf
[ succeed negate
|. symbol "-"
|= int
, int
]
Note: If you want a parser for both Int
and Float
literals, check out
number
below. It will be faster than using oneOf
to combining
int
and float
yourself.
Parse floats.
run float "123" == Ok 123
run float "3.1415" == Ok 3.1415
run float "0.1234" == Ok 0.1234
run float ".1234" == Ok 0.1234
run float "1e-42" == Ok 1e-42
run float "6.022e23" == Ok 6.022e23
run float "6.022E23" == Ok 6.022e23
run float "6.022e+23" == Ok 6.022e23
If you want to disable literals like .123
(like in Gren) you could write
something like this:
grenFloat : Parser Float
grenFloat =
oneOf
[ symbol "."
|. problem "floating point numbers must start with a digit, like 0.25"
, float
]
Note: If you want a parser for both Int
and Float
literals, check out
number
below. It will be faster than using oneOf
to combining
int
and float
yourself.
Parse a bunch of different kinds of numbers without backtracking. A parser for Gren would need to handle integers, floats, and hexadecimal like this:
type Expr
= Variable String
| Int Int
| Float Float
| Apply Expr Expr
grenNumber : Parser Expr
grenNumber =
number
{ int = Just Int
, hex = Just Int -- 0x001A is allowed
, octal = Nothing -- 0o0731 is not
, binary = Nothing -- 0b1101 is not
, float = Just Float
}
If you wanted to implement the float
parser, it would be like this:
float : Parser Float
float =
number
{ int = Just toFloat
, hex = Nothing
, octal = Nothing
, binary = Nothing
, float = Just identity
}
Notice that it actually is processing int
results! This is because 123
looks like an integer to me, but maybe it looks like a float to you. If you had
int = Nothing
, floats would need a decimal like 1.0
in every case. If you
like explicitness, that may actually be preferable!
Note: This function does not check for weird trailing characters in the
current implementation, so parsing 123abc
can succeed up to 123
and then
move on. This is helpful for people who want to parse things like 40px
or
3m
, but it requires a bit of extra code to rule out trailing characters in
other cases.
Parse symbols like (
and ,
.
run (symbol "[") "[" == Ok {}
run (symbol "[") "4" == Err ... (ExpectingSymbol "[") ...
Note: This is good for stuff like brackets and semicolons, but it probably
should not be used for binary operators like +
and -
because you can find
yourself in weird situations. For example, is 3--4
a typo? Or is it 3 - -4
?
I have had better luck with chompWhile isSymbol
and sorting out which
operator it is afterwards.
Parse keywords like let
, case
, and type
.
run (keyword "let") "let" == Ok {}
run (keyword "let") "var" == Err ... (ExpectingKeyword "let") ...
run (keyword "let") "letters" == Err ... (ExpectingKeyword "let") ...
Note: Notice the third case there! keyword
actually looks ahead one
character to make sure it is not a letter, number, or underscore. The goal is
to help with parsers like this:
succeed identity
|. keyword "let"
|. spaces
|= grenVar
|. spaces
|. symbol "="
The trouble is that spaces
may chomp zero characters (to handle expressions
like [1,2]
and [ 1 , 2 ]
) and in this case, it would mean letters
could
be parsed as let ters
and then wonder where the equals sign is! Check out the
token
docs if you need to customize this!
Create a parser for variables. If we wanted to parse type variables in Gren, we could try something like this:
import Char
import Parser exposing (..)
import Set
typeVar : Parser String
typeVar =
variable
{ start = Char.isLower
, inner = \c -> Char.isAlphaNum c || c == '_'
, reserved = Set.fromList [ "let", "in", "case", "of" ]
}
This is saying it must start with a lower-case character. After that, characters can be letters, numbers, or underscores. It is also saying that if you run into any of these reserved names, it is definitely not a variable.
Check if you have reached the end of the string you are parsing.
justAnInt : Parser Int
justAnInt =
succeed identity
|= int
|. end
-- run justAnInt "90210" == Ok 90210
-- run justAnInt "1 + 2" == Err ...
-- run int "1 + 2" == Ok 1
Parsers can succeed without parsing the whole string. Ending your parser
with end
guarantees that you have successfully parsed the whole string.
Pipelines
A parser that succeeds without chomping any characters.
run (succeed 90210 ) "mississippi" == Ok 90210
run (succeed 3.141 ) "mississippi" == Ok 3.141
run (succeed {} ) "mississippi" == Ok {}
run (succeed Nothing) "mississippi" == Ok Nothing
Seems weird on its own, but it is very useful in combination with other
functions. The docs for (|=)
and andThen
have some neat
examples.
Keep values in a parser pipeline. For example, we could say:
type alias Point = { x : Float, y : Float }
point : Parser Point
point =
succeed (\x y -> { x = x, y = y })
|. symbol "("
|. spaces
|= float
|. spaces
|. symbol ","
|. spaces
|= float
|. spaces
|. symbol ")"
All the parsers in this pipeline will chomp characters and produce values. So
symbol "("
will chomp one paren and produce a {}
value. Similarly, float
will chomp some digits and produce a Float
value. The (|.)
and (|=)
operators just decide whether we give the values to the Point
function.
So in this case, we skip the {}
from symbol "("
, we skip the {}
from
spaces
, we keep the Float
from float
, etc.
Skip values in a parser pipeline. For example, maybe we want to parse some JavaScript variables:
var : Parser String
var =
getChompedString <|
succeed {}
|. chompIf isStartChar
|. chompWhile isInnerChar
isStartChar : Char -> Bool
isStartChar char =
Char.isAlpha char || char == '_' || char == '$'
isInnerChar : Char -> Bool
isInnerChar char =
isStartChar char || Char.isDigit char
chompIf isStartChar
can chomp one character and produce a {}
value.
chompWhile isInnerChar
can chomp zero or more characters and produce a {}
value. The (|.)
operators are saying to still chomp all the characters, but
skip the two {}
values that get produced. No one cares about them.
Helper to define recursive parsers. Say we want a parser for simple boolean expressions:
true
false
(true || false)
(true || (true || false))
Notice that a boolean expression might contain other boolean expressions. That means we will want to define our parser in terms of itself:
type Boolean
= MyTrue
| MyFalse
| MyOr Boolean Boolean
boolean : Parser Boolean
boolean =
oneOf
[ succeed MyTrue
|. keyword "true"
, succeed MyFalse
|. keyword "false"
, succeed MyOr
|. symbol "("
|. spaces
|= lazy (\_ -> boolean)
|. spaces
|. symbol "||"
|. spaces
|= lazy (\_ -> boolean)
|. spaces
|. symbol ")"
]
Notice that boolean
uses boolean
in its definition! In Gren, you can
only define a value in terms of itself if it is behind a function call. So
lazy
helps us define these self-referential parsers. (andThen
can be used
for this as well!)
Parse one thing andThen
parse another thing. This is useful when you want
to check on what you just parsed. For example, maybe you want U.S. zip codes
and int
is not suitable because it does not allow leading zeros. You could
say:
zipCode : Parser String
zipCode =
getChompedString (chompWhile Char.isDigit)
|> andThen checkZipCode
checkZipCode : String -> Parser String
checkZipCode code =
if String.length code == 5 then
succeed code
else
problem "a U.S. zip code has exactly 5 digits"
First we chomp digits andThen
we check if it is a valid U.S. zip code. We
succeed
if it has exactly five digits and report a problem
if not.
Check out examples/DoubleQuoteString.gren
for another example, this time using andThen
to verify unicode code points.
Note: If you are using andThen
recursively and blowing the stack, check
out the loop
function to limit stack usage.
Indicate that a parser has reached a dead end. "Everything was going fine
until I ran into this problem." Check out the andThen
docs to see
an example usage.
Branches
If you are parsing JSON, the values can be strings, floats, booleans,
arrays, objects, or null. You need a way to pick oneOf
them! Here is a
sample of what that code might look like:
type Json
= Number Float
| Boolean Bool
| Null
json : Parser Json
json =
oneOf
[ map Number float
, map (\_ -> Boolean True) (keyword "true")
, map (\_ -> Boolean False) (keyword "false")
, map (\_ -> Null) keyword "null"
]
This parser will keep trying parsers until oneOf
them starts chomping
characters. Once a path is chosen, it does not come back and try the others.
Note: I highly recommend reading this document to learn how
oneOf
and backtrackable
interact. It is subtle and important!
Transform the result of a parser. Maybe you have a value that is
an integer or null
:
nullOrInt : Parser (Maybe Int)
nullOrInt =
oneOf
[ map Just int
, map (\_ -> Nothing) (keyword "null")
]
-- run nullOrInt "0" == Ok (Just 0)
-- run nullOrInt "13" == Ok (Just 13)
-- run nullOrInt "null" == Ok Nothing
-- run nullOrInt "zero" == Err ...
It is quite tricky to use backtrackable
well! It can be very useful, but
also can degrade performance and error message quality.
Read this document
to learn how oneOf
, backtrackable
, and commit
work and interact with
each other. It is subtle and important!
commit
is almost always paired with backtrackable
in some way, and it
is tricky to use well.
Read this document
to learn how oneOf
, backtrackable
, and commit
work and interact with
each other. It is subtle and important!
Parse exactly the given string, without any regard to what comes next.
A potential pitfall when parsing keywords is getting tricked by variables that
start with a keyword, like let
in letters
or import
in important
. This
is especially likely if you have a whitespace parser that can consume zero
characters. So the keyword
parser is defined with token
and a
trick to peek ahead a bit:
keyword : String -> Parser {}
keyword kwd =
succeed identity
|. backtrackable (token kwd)
|= oneOf
[ map (\_ -> True) (backtrackable (chompIf isVarChar))
, succeed False
]
|> andThen (checkEnding kwd)
checkEnding : String -> Bool -> Parser {}
checkEnding kwd isBadEnding =
if isBadEnding then
problem ("expecting the `" ++ kwd ++ "` keyword")
else
commit {}
isVarChar : Char -> Bool
isVarChar char =
Char.isAlphaNum char || char == '_'
This definition is specially designed so that (1) if you really see let
you
commit to that path and (2) if you see letters
instead you can backtrack and
try other options. If I had just put a backtrackable
around the whole thing
you would not get (1) anymore.
Loops
Handle things like lists and records, but you can customize the details however you need. Say you want to parse C-style code blocks:
import Parser exposing (Parser, Trailing(..))
block : Parser (List Stmt)
block =
Parser.sequence
{ start = "{"
, separator = ";"
, end = "}"
, spaces = spaces
, item = statement
, trailing = Mandatory -- demand a trailing semi-colon
}
-- statement : Parser Stmt
Note: If you need something more custom, do not be afraid to check out the implementation and customize it for your case. It is better to get nice error messages with a lower-level implementation than to try to hack high-level parsers to do things they are not made for.
Whatβs the deal with trailing commas? Are they Forbidden
?
Are they Optional
? Are they Mandatory
? Welcome to shapes
club!
A parser that can loop indefinitely. This can be helpful when parsing repeated structures, like a bunch of statements:
statements : Parser (List Stmt)
statements =
loop [] statementsHelp
statementsHelp : List Stmt -> Parser (Step (List Stmt) (List Stmt))
statementsHelp revStmts =
oneOf
[ succeed (\stmt -> Loop (stmt :: revStmts))
|= statement
|. spaces
|. symbol ";"
|. spaces
, succeed {}
|> map (\_ -> Done (List.reverse revStmts))
]
-- statement : Parser Stmt
Notice that the statements are tracked in reverse as we Loop
, and we reorder
them only once we are Done
. This is a very common pattern with loop
!
Check out examples/DoubleQuoteString.gren
for another example.
IMPORTANT NOTE: Parsers like succeed {}
and chompWhile Char.isAlpha
can
succeed without consuming any characters. So in some cases you may want to use
getOffset
to ensure that each step actually consumed characters.
Otherwise you could end up in an infinite loop!
Note: Anything you can write with loop
, you can also write as a parser
that chomps some characters andThen
calls itself with new arguments. The
problem with calling andThen
recursively is that it grows the stack, so you
cannot do it indefinitely. So loop
is important because enables tail-call
elimination, allowing you to parse however many repeats you want.
Decide what steps to take next in your loop
.
If you are Done
, you give the result of the whole loop
. If you decide to
Loop
around again, you give a new state to work from. Maybe you need to add
an item to a list? Or maybe you need to track some information about what you
just saw?
Note: It may be helpful to learn about finite-state machines to get
a broader intuition about using state
. I.e. You may want to create a type
that describes four possible states, and then use Loop
to transition between
them as you consume characters.
Whitespace
Parse zero or more ' '
, '\n'
, and '\r'
characters.
The implementation is pretty simple:
spaces : Parser {}
spaces =
chompWhile (\c -> c == ' ' || c == '\n' || c == '\r')
So if you need something different (like tabs) just define an alternative with
the necessary tweaks! Check out lineComment
and
multiComment
for more complex situations.
Parse single-line comments:
gren : Parser {}
gren =
lineComment "--"
js : Parser {}
js =
lineComment "//"
python : Parser {}
python =
lineComment "#"
This parser is defined like this:
lineComment : String -> Parser {}
lineComment str =
symbol str
|. chompUntilEndOr "\n"
So it will consume the remainder of the line. If the file ends before you see a newline, that is fine too.
Parse multi-line comments. So if you wanted to parse Gren whitespace or JS whitespace, you could say:
gren : Parser {}
gren =
loop 0 <| ifProgress <|
oneOf
[ lineComment "--"
, multiComment "{-" "-}" Nestable
, spaces
]
js : Parser {}
js =
loop 0 <| ifProgress <|
oneOf
[ lineComment "//"
, multiComment "/*" "*/" NotNestable
, chompWhile (\c -> c == ' ' || c == '\n' || c == '\r' || c == '\t')
]
ifProgress : Parser a -> Int -> Parser (Step Int {})
ifProgress parser offset =
succeed identity
|. parser
|= getOffset
|> map (\newOffset -> if offset == newOffset then Done {} else Loop newOffset)
Note: The fact that spaces
comes last in the definition of gren
is very
important! It can succeed without consuming any characters, so if it were the
first option, it would always succeed and bypass the others! (Same is true of
chompWhile
in js
.) This possibility of success without consumption is also
why wee need the ifProgress
helper. It detects if there is no more whitespace
to consume.
Not all languages handle multi-line comments the same. Multi-line comments
in C-style syntax are NotNestable
, meaning they can be implemented like this:
js : Parser {}
js =
symbol "/*"
|. chompUntil "*/"
In fact, multiComment "/*" "*/" NotNestable
is implemented like that! It is
very simple, but it does not allow you to nest comments like this:
/*
line1
/* line2 */
line3
*/
It would stop on the first */
, eventually throwing a syntax error on the
second */
. This can be pretty annoying in long files.
Languages like Gren allow you to nest multi-line comments, but your parser needs
to be a bit fancier to handle this. After you start a comment, you have to
detect if there is another one inside it! And then you have to make sure all
the {-
and -}
match up properly! Saying multiComment "{-" "-}" Nestable
does all that for you.
Chompers
Sometimes parsers like int
or variable
cannot do exactly what you
need. The "chomping" family of functions is meant for that case! Maybe you
need to parse valid PHP variables like $x
and $txt
:
php : Parser String
php =
getChompedString <|
succeed {}
|. chompIf (\c -> c == '$')
|. chompIf (\c -> Char.isAlpha c || c == '_')
|. chompWhile (\c -> Char.isAlphaNum c || c == '_')
The idea is that you create a bunch of chompers that validate the underlying
characters. Then getChompedString
extracts the underlying String
efficiently.
Note: Maybe it is helpful to see how you can use getOffset
and getSource
to implement this function:
getChompedString : Parser a -> Parser String
getChompedString parser =
succeed String.slice
|= getOffset
|. parser
|= getOffset
|= getSource
Chomp one character if it passes the test.
chompUpper : Parser {}
chompUpper =
chompIf Char.isUpper
So this can chomp a character like T
and produces a {}
value.
Chomp zero or more characters if they pass the test. This is commonly useful for chomping whitespace or variable names:
whitespace : Parser {}
whitespace =
chompWhile (\c -> c == ' ' || c == '\t' || c == '\n' || c == '\r')
grenVar : Parser String
grenVar =
getChompedString <|
succeed {}
|. chompIf Char.isLower
|. chompWhile (\c -> Char.isAlphaNum c || c == '_')
Note: a chompWhile
parser always succeeds! This can lead to tricky
situations, especially if you define your whitespace with it. In that case,
you could accidentally interpret letx
as the keyword let
followed by
"spaces" followed by the variable x
. This is why the keyword
and number
parsers peek ahead, making sure they are not followed by anything unexpected.
Chomp until you see a certain string. You could define C-style multi-line comments like this:
comment : Parser {}
comment =
symbol "/*"
|. chompUntil "*/"
I recommend using multiComment
for this particular scenario
though. It can be trickier than it looks!
Chomp until you see a certain string or until you run out of characters to chomp! You could define single-line comments like this:
gren : Parser {}
gren =
symbol "--"
|. chompUntilEndOr "\n"
A file may end with a single-line comment, so the file can end before you see a newline. Tricky!
I recommend just using lineComment
for this particular
scenario.
This works just like getChompedString
but gives
a bit more flexibility. For example, maybe you want to parse Gren doc comments
and get (1) the full comment and (2) all of the names listed in the docs.
You could implement mapChompedString
like this:
mapChompedString : (String -> a -> b) -> Parser a -> Parser String
mapChompedString func parser =
succeed (\start value end src -> func (String.slice start end src) value)
|= getOffset
|= parser
|= getOffset
|= getSource
Errors
A parser can run into situations where there is no way to make progress.
When that happens, I record the row
and col
where you got stuck and the
particular problem
you ran into. That is a DeadEnd
!
Note: I count rows and columns like a text editor. The beginning is row=1
and col=1
. As I chomp characters, the col
increments. When I reach a \n
character, I increment the row
and set col=1
.
When you run into a DeadEnd
, I record some information about why you
got stuck. This data is useful for producing helpful error messages. This is
how deadEndsToString
works!
Note: If you feel limited by this type (i.e. having to represent custom
problems as strings) I highly recommend switching to Parser.Advanced
. It
lets you define your own Problem
type. It can also track "context" which
can improve error messages a ton! This is how the Gren compiler produces
relatively nice parse errors, and I am excited to see those techniques applied
elsewhere!
Turn all the DeadEnd
data into a string that is easier for people to
read.
Note: This is just a baseline of quality. It cannot do anything with colors.
It is not interactive. It just turns the raw data into strings. I really hope
folks will check out the source code for some inspiration on how to turn errors
into Html
with nice colors and interaction! The Parser.Advanced
module lets
you work with context as well, which really unlocks another level of quality!
The "context" technique is how the Gren compiler can say "I think I am parsing a
list, so I was expecting a closing ]
here." Telling users what the parser
thinks is happening can be really helpful!
Indentation
Some languages are indentation sensitive. Python cares about tabs. Gren
cares about spaces sometimes. withIndent
and getIndent
allow you to manage
"indentation state" yourself, however is necessary in your scenario.
When someone said withIndent
earlier, what number did they put in there?
getIndent
results in0
, the default valuewithIndent 4 getIndent
results in4
So you are just asking about things you said earlier. These numbers do not leak
out of withIndent
, so say we have:
succeed (\a b -> { a = a, b = b })
|= withIndent 4 getIndent
|= getIndent
Assuming there are no withIndent
above this, you would get { a = 4, b = 0 }
from this.
Positions
Code editors treat code like a grid, with rows and columns. The start is
row=1
and col=1
. As you chomp characters, the col
increments. When you
run into a \n
character, the row
increments and col
goes back to 1
.
In the Gren compiler, the start and end position of every expression is tracked like this:
type alias Located a =
{ start : { row: Int, col: Int }
, value : a
, end : { row: Int, col: Int }
}
located : Parser a -> Parser (Located a)
located parser =
succeed (\start value end -> { start = start, value = value, end = end })
|= getPosition
|= parser
|= getPosition
So if there is a problem during type inference, I use this saved position information to underline the exact problem!
Note: Tabs count as one character, so if you are parsing something like
Python, I recommend sorting that out after parsing. So if I wanted the ^^^^
underline like in Gren, I would find the row
in the source code and do
something like this:
makeUnderline : String -> Int -> Int -> String
makeUnderline row minCol maxCol =
String.toList row
|> List.indexedMap (toUnderlineChar minCol maxCol)
|> String.fromList
toUnderlineChar : Int -> Int -> Int -> Char -> Char
toUnderlineChar minCol maxCol col char =
if minCol <= col && col <= maxCol then
'^'
else if char == '\t' then
'\t'
else
' '
So it would preserve any tabs from the source line. There are tons of other ways to do this though. The point is just that you handle the tabs after parsing but before anyone looks at the numbers in a context where tabs may equal 2, 4, or 8.
This is a more efficient version of map (\pos -> pos.row) getPosition
. Maybe
you just want to track the line number for some reason? This lets you do that.
See getPosition
for an explanation of rows and columns.
This is a more efficient version of map (\pos -> pos.col) getPosition
. This
can be useful in combination with withIndent
and
getIndent
, like this:
checkIndent : Parser {}
checkIndent =
succeed (\indent column -> indent <= column)
|= getIndent
|= getCol
|> andThen checkIndentHelp
checkIndentHelp : Bool -> Parser {}
checkIndentHelp isIndented =
if isIndented then
succeed {}
else
problem "expecting more spaces"
So the checkIndent
parser only succeeds when you are "deeper" than the
current indent level. You could use this to parse Gren-style let
expressions.
Editors think of code as a grid, but behind the scenes it is just a flat
array of UTF-16 characters. getOffset
tells you your index in that flat
array. So if you chomp "\n\n\n\n"
you are on row 5, column 1, and offset 4.
Note: JavaScript uses a somewhat odd version of UTF-16 strings, so a single
character may take two slots. So in JavaScript, 'abc'.length === 3
but
'πππ'.length === 6
. Try it out! And since Gren runs in JavaScript, the offset
moves by those rules.
Get the full string that is being parsed. You could use this to define
getChompedString
or mapChompedString
if you wanted:
getChompedString : Parser a -> Parser String
getChompedString parser =
succeed String.slice
|= getOffset
|. parser
|= getOffset
|= getSource