I'm trying to write a parser for the Mathematica language in F# using FParsec.
I have written one for a MiniML that supports the syntax f x y = (f(x))(y) with high precedence for function application. Now I need to use the same syntax to mean f*x*y and, therefore, have the same precedence as multiply. In particular, x y + 2 = x*y + 2 whereas x y ^ 2 = x * y^2.
How can this be accomplished?
As Stephan pointed out in a comment you can split the operator parser into two separate parsers and put your own parser in the middle for space-separated expressions. The following code demonstrates this:
#I "../packages/FParsec.1.0.1/lib/net40-client"
#r "FParsec"
#r "FParsecCS"
open FParsec
open System.Numerics
type Expr =
| Int of BigInteger
| Add of Expr * Expr
| Mul of Expr * Expr
| Pow of Expr * Expr
let str s = pstring s >>. spaces
let pInt : Parser<_, unit> = many1Satisfy isDigit |>> BigInteger.Parse .>> spaces
let high = OperatorPrecedenceParser<Expr,unit,unit>()
let low = OperatorPrecedenceParser<Expr,unit,unit>()
let pHighExpr = high.ExpressionParser .>> spaces
let pLowExpr = low.ExpressionParser .>> spaces
high.TermParser <-
choice
[ pInt |>> Int
between (str "(") (str ")") pLowExpr ]
low.TermParser <-
many1 pHighExpr |>> (function [f] -> f | fs -> List.reduce (fun f g -> Mul(f, g)) fs) .>> spaces
low.AddOperator(InfixOperator("+", spaces, 10, Associativity.Left, fun f g -> Add(f, g)))
high.AddOperator(InfixOperator("^", spaces, 20, Associativity.Right, fun f g -> Pow(f, g)))
run (spaces >>. pLowExpr .>> eof) "1 2 + 3 4 ^ 5 6"
The output is:
Add (Mul (Int 1,Int 2),Mul (Mul (Int 3,Pow (Int 4,Int 5)),Int 6))
which represents 1 * 2 + 3 * 4^5 * 6 as expected.
Related
I usually use FParsec for LL grammars, but sometimes it happens that in a whole grammar only one element requires left recursive parsing (so the grammar is no longer LL). Currently I have such a situation, I have a large LL grammar implemented with FParsec, but a small grammar element is bothering me because it obviously cannot be parsed correctly.
The syntax element in question is an access to an array index à la F#, e.g. myArray.[index] where myArray can be any expression and index can be any expression too. It turns out that my function calls use square brackets, not parentheses, and my identifiers can be qualified with dots.
An example of correct syntax for an expression is: std.fold[fn, f[myArray.[0]], std.tail[myArray]].
The .[] syntax element is obviously left recursive, but perhaps there is a trick that allows me to parse it anyway? My minimal code is as follows:
open FParsec
type Name = string list
type Expr =
(* foo, Example.Bar.fizz *)
| Variable of Name
(* 9, 17, -1 *)
| Integer of int
(* foo[3, 2], Std.sqrt[2] *)
| FunCall of Name * Expr list
(* (a + b), (a + (1 - c)) *)
| Parens of Expr
(* myArray.[0], table.[index - 1] *)
| ArrayAccess of Expr * Expr
(* a + b *)
| Addition of Expr * Expr
let opp =
new OperatorPrecedenceParser<Expr, _, _>()
let pExpr = opp.ExpressionParser
let pName =
let id =
identifier (IdentifierOptions(isAsciiIdStart = isAsciiLetter, isAsciiIdContinue = isAsciiLetter))
sepBy1 id (skipChar '.')
let pVariable = pName |>> Variable
let pInt = pint32 |>> Integer
let pFunCall =
pipe4
pName
(spaces >>. skipChar '[')
(sepBy (spaces >>. pExpr) (skipChar ','))
(spaces >>. skipChar ']')
(fun name _ args _ -> FunCall(name, args))
let pArrayAccess =
pipe5
pExpr
(spaces >>. skipChar '.')
(spaces >>. skipChar '[')
(spaces >>. pExpr)
(spaces >>. skipChar ']')
(fun expr _ _ index _ -> ArrayAccess(expr, index))
let pParens =
between (skipChar '(') (skipChar ')') (spaces >>. pExpr)
opp.TermParser <-
choice [ attempt pFunCall
pVariable
pArrayAccess
pInt
pParens ]
.>> spaces
let addInfixOperator str prec assoc mapping =
opp.AddOperator
<| InfixOperator(str, spaces, prec, assoc, (), (fun _ leftTerm rightTerm -> mapping leftTerm rightTerm))
addInfixOperator "+" 6 Associativity.Left (fun a b -> Addition(a, b))
let startParser = runParserOnString (pExpr .>> eof) () ""
printfn "%A" <| startParser "std.fold[fn, f[myArray.[0]], std.tail[myArray]]"
One way to do this is as follows: instead of making a list of parsing choices that also lists pArrayAccess like above, which will at some point cause an infinite loop, one can modify pExpr to parse the grammar element in question as an optional element following an expression:
let pExpr =
parse {
let! exp = opp.ExpressionParser
let pArrayAccess =
between (skipString ".[") (skipString "]") opp.ExpressionParser
match! opt pArrayAccess with
| None -> return exp
| Some index -> return ArrayAccess(exp, index)
}
After testing, it turns out that this works very well if the following two conditions are not met:
The contents of the square brackets must not contain access to another array ;
An array cannot be accessed a second time in succession (my2DArray.[x].[y]).
This restricts usage somewhat. How can I get away with this? Is there a way to do this or do I have to change the grammar?
Finally, a solution to this problem is quite simple: just expect a list of array access. If the list is empty, then return the initial expression, otherwise fold over all the array accesses and return the result. Here is the implementation:
let rec pExpr =
parse {
let! exp = opp.ExpressionParser
let pArrayAccess =
between (skipString ".[") (skipString "]") pExpr
match! many pArrayAccess with
| [] -> return exp
| xs -> return List.fold
(fun acc curr -> ArrayAccess(acc, curr)) exp xs
}
This way of doing things meets my needs, so I'd be happy with it, if anyone passes by and wants something more general and not applicable with the proposed solution, then I refer to #Martin Freedman comment, using createParserForwardedToRef().
NOTE: Not long ago, I had already asked a similar question. This is not a duplication, but the clarifications to be requested did not fall within the scope of the subject itself. I therefore allow myself to open another position dealing with the analysis of an ML-like syntax based on indentation, and considering everything as an instruction / expression.
For example:
"Hello" is an expression,
let foo = 2 + 1 is an instruction using an expression (2 + 1),
print foo is an instruction, ...
In short, a syntax and semantics that is quite modular and dynamic. Like F#, or OCaml.
To do this, I use F#, with the API (available on nuget) FParsec. The FParsec wiki provides an example of a syntax based on indentation, so I have taken it up again. The module in the code below used is IndentationParserWithoutBacktracking.
The example code to be parsed uses an elementary indentation, not mixing "literal" and "instructions/expressions":
loop i 1 10
loop k 1 10
print k
print i
print j
A simple code, and without context (but this is not important at the moment).
My implementation allows codes such as:
let foo = a + b
let foo =
let a = 9
let b = 1
a + b
let foo = 7
let foo =
loop i 1 10
print i
For example. (The loop and print are there just for the tests...)
The problem I have been having for a long week now, and that I can't solve, is the fact that the indentation module asks me every time an instruction is expected in a parser for a new line... Here is a screenshot:
This applies to all the examples mentioned above. I don't really understand the problem, and therefore don't know how to solve it.
Here is the code tested for this question, it meets the minimum and functional code criteria, however, FParsec must be used:
open FParsec
// This module come from 'https://github.com/stephan-tolksdorf/fparsec/wiki/Parsing-indentation-based-syntax-with-FParsec'
// I used the second module: 'IndentationParserWithoutBacktracking'
module IndentationParserWithoutBacktracking =
let tabStopDistance = 8
type LastParsedIndentation() =
[<DefaultValue>]
val mutable Value: int32
[<DefaultValue>]
val mutable EndIndex: int64
type UserState =
{Indentation: int
// We put LastParsedIndentation into the UserState so that we
// can conveniently use a separate instance for each stream.
// The members of the LastParsedIndentation instance will be mutated
// directly and hence won't be affected by any stream backtracking.
LastParsedIndentation: LastParsedIndentation}
with
static member Create() = {Indentation = -1
LastParsedIndentation = LastParsedIndentation(EndIndex = -1L)}
type CharStream = CharStream<UserState>
type Parser<'t> = Parser<'t, UserState>
// If this function is called at the same index in the stream
// where the function previously stopped, then the previously
// returned indentation will be returned again.
// This way we can avoid backtracking at the end of indented blocks.
let skipIndentation (stream: CharStream) =
let lastParsedIndentation = stream.UserState.LastParsedIndentation
if lastParsedIndentation.EndIndex = stream.Index then
lastParsedIndentation.Value
else
let mutable indentation = stream.SkipNewlineThenWhitespace(tabStopDistance, false)
lastParsedIndentation.EndIndex <- stream.Index
lastParsedIndentation.Value <- indentation
indentation
let indentedMany1 (p: Parser<'t>) label : Parser<'t list> =
fun stream ->
let oldIndentation = stream.UserState.Indentation
let indentation = skipIndentation stream
if indentation <= oldIndentation then
Reply(Error, expected (if indentation < 0 then "newline" else "indented " + label))
else
stream.UserState <- {stream.UserState with Indentation = indentation}
let results = ResizeArray()
let mutable stateTag = stream.StateTag
let mutable reply = p stream // parse the first element
let mutable newIndentation = 0
while reply.Status = Ok
&& (results.Add(reply.Result)
newIndentation <- skipIndentation stream
newIndentation = indentation)
do
stateTag <- stream.StateTag
reply <- p stream
if reply.Status = Ok
|| (stream.IsEndOfStream && results.Count > 0 && stream.StateTag = stateTag)
then
if newIndentation < indentation || stream.IsEndOfStream then
stream.UserState <- {stream.UserState with Indentation = oldIndentation}
Reply(List.ofSeq results)
else
Reply(Error, messageError "wrong indentation")
else // p failed
Reply(reply.Status, reply.Error)
open IndentationParserWithoutBacktracking
let isBlank = fun c -> c = ' ' || c = '\t'
let ws = spaces
let ws1 = skipMany1SatisfyL isBlank "whitespace"
let str s = pstring s .>> ws
let keyword str = pstring str >>? nextCharSatisfiesNot (fun c -> isLetter c || isDigit c) <?> str
// AST
type Identifier = Identifier of string
// A value is just a literal or a data name, called here "Variable"
type Value =
| Int of int | Float of float
| Bool of bool | String of string
| Char of char | Variable of Identifier
// All is an instruction, but there are some differences:
type Instr =
// Arithmetic
| Literal of Value | Infix of Instr * InfixOp * Instr
// Statements (instructions needing another instructions)
| Let of Identifier * Instr list
| Loop of Identifier * Instr * Instr * Instr list
// Other - the "print" function, from the link seen above
| Print of Identifier
and InfixOp =
// Arithmetic
| Sum | Sub | Mul | Div
// Logic
| And | Or | Equal | NotEqual | Greater | Smaller | GreaterEqual | SmallerEqual
// Literals
let numberFormat = NumberLiteralOptions.AllowMinusSign ||| NumberLiteralOptions.AllowFraction |||
NumberLiteralOptions.AllowHexadecimal ||| NumberLiteralOptions.AllowOctal |||
NumberLiteralOptions.AllowBinary
let literal_numeric =
numberLiteral numberFormat "number" |>> fun nl ->
if nl.IsInteger then Literal (Int(int nl.String))
else Literal (Float(float nl.String))
let literal_bool =
(choice [
(stringReturn "true" (Literal (Bool true)))
(stringReturn "false" (Literal (Bool false)))
]
.>> ws) <?> "boolean"
let literal_string =
(between (pstring "\"") (pstring "\"") (manyChars (satisfy (fun c -> c <> '"')))
|>> fun s -> Literal (String s)) <?> "string"
let literal_char =
(between (pstring "'") (pstring "'") (satisfy (fun c -> c <> '''))
|>> fun c -> Literal (Char c)) <?> "character"
let identifier =
(many1Satisfy2L isLetter (fun c -> isLetter c || isDigit c) "identifier"
|>> Identifier) <?> "identifier"
let betweenParentheses p =
(between (str "(") (str ")") p) <?> ""
let variable = identifier |>> fun id -> Literal (Variable id)
let literal = (attempt literal_numeric <|>
attempt literal_bool <|>
attempt literal_char <|>
attempt literal_string <|>
attempt variable)
// Instressions and statements
let pInstrs, pInstrimpl = createParserForwardedToRef()
// `ploop` is located here to force `pInstrs` to be of the type `Instr list`, `ploop` requesting an instression list.
let ploop =
pipe4
(keyword "loop" >>. ws1 >>. identifier)
(ws1 >>. literal)
(ws1 >>. literal)
(pInstrs)
(fun id min max stmts -> Loop(id, min, max, stmts))
// `singlepInstr` allows to use only one Instression, used just after.
let singlepInstr =
pInstrs |>> fun ex -> ex.Head
let term =
(ws >>. singlepInstr .>> ws) <|>
(betweenParentheses (ws >>. singlepInstr)) <|>
(ws >>. literal .>> ws) <|>
(betweenParentheses (ws >>. literal))
let infixOperator (p: OperatorPrecedenceParser<_, _, _>) op prec map =
p.AddOperator(InfixOperator(op, ws, prec, Associativity.Left, map))
let ops =
// Arithmetic
[ "+"; "-"; "*"; "/"; "%" ] #
// Logical
[ "&&"; "||"; "=="; "!="; ">"; "<"; ">="; "<=" ]
let opCorrespondance op =
match op with
// Arithmetic operators
| "+" -> Sum | "-" -> Sub
| "*" -> Mul | "/" -> Div
// Logical operators
| "&&" -> And | "||" -> Or
| "==" -> Equal | "!=" -> NotEqual
| ">" -> Greater | "<" -> Smaller
| ">=" -> GreaterEqual | "<=" -> SmallerEqual
| _ -> failwith ("Unknown operator: " + op)
let opParser = new OperatorPrecedenceParser<Instr, unit, UserState>()
for op in ops do
infixOperator opParser op 1 (fun x y -> Infix(x, opCorrespondance op, y))
opParser.TermParser <- term
// Statements
(*
- let:
let <identifier> = <instruction(s) / value>
- print:
print <identifier>
- loop:
loop <identifier> <literal> <literal> <indented statements>
*)
let plet =
pipe2
(keyword "let" >>. ws1 >>. identifier)
(ws >>. str "=" >>. ws >>. pInstrs)
(fun id exp -> Let(id, exp))
let print =
keyword "print" >>. ws1 >>. identifier
|>> Print
let instruction =
print <|> ploop <|> plet <|>
opParser.ExpressionParser <|>
literal
pInstrimpl := indentedMany1 instruction "instruction"
let document = pInstrs .>> spaces .>> eof
let test str =
match runParserOnString document (UserState.Create()) "" str with
| Success(result, _, _) -> printfn "%A" result
| Failure(errorMsg, _, _) -> printfn "%s" errorMsg
System.Console.Clear()
let code = test #"
let foo = a + b
"
I would like to understand first of all why it doesn't work, but also to be able to find a solution to my problem, and that this solution can be extended to the potential syntax additions of the parser.
Awaiting a salutary answer, thank you.
In order to understand why your parser doesn't work, you need to isolate the issues.
If I understand you correctly, you want your let parser to support either a single instruction on the same line or indented instructions on subsequent lines, e.g:
let x = instruction
let b =
instruction
instruction
If you can't get your existing implementation to work, I'd recommend going back to the implementation on the Wiki and trying to just add support for the let statement.
For example, I made the Wiki parser accept simple let statements with the following modifications:
type Statement = Loop of Identifier * int * int * Statement list
| Print of Identifier
| Let of Identifier * Statement list
let ws = skipManySatisfy isBlank
let str s = pstring s .>> ws
let statement, statementRef = createParserForwardedToRef()
let indentedStatements = indentedMany1 statement "statement"
let plet = keyword "let" >>. pipe2 (ws1 >>. identifier)
(ws >>. str "=" >>. ws
>>. (indentedStatements
<|> (statement |>> fun s -> [s])))
(fun id exp -> Let(id, exp))
statementRef := print <|> loop <|> plet
Note that in the modified version statement is now the parser forwarded to a ref cell, not indentedStatements.
Note also that ws is not implemented with spaces, like in your parser. This is important because spaces also consumes newlines, which would prevent the indentedMany1 from seeing the newline and properly calculating the indentation.
The reason your parser produced an "Expecting: newline" error is that indentedMany1 needs a newline at the beginning of the indented sequence in order to be able to calculate the indentation. You would have to modify the implementation of indentedMany1 if you wanted to support e.g. the following indentation pattern:
let x = instruction
instruction
instruction
I test indentation with FParsec, according to this implementation, but when I make it a little more complex by adding expressions (literals, lists, tuples and arithmetic operations), allowing expressions to top-level, and adding a variable creation statement; I first get a StackOverflowException error . In my opinion, this is because the expression parser is solicited in such a way as to make an infinite loop in the program. I see no other reason, however, I don't know how to fix this problem.
If I remove the attempt pexpression from my parser data statement, there is no more StackOverflowException, nevertheless the module IndentationParserWithoutBacktracking (therefore managing indentation) tells me that the code to be parsed is missing a "newline":
Failure: Error in Ln: 2 Col: 1
loop i 0 10
^
Expecting: let or print
The parser backtracked after:
Error in Ln: 3 Col: 5
let myVar = 2 + 1
^
Expecting: loop or print
The parser backtracked after:
Error in Ln: 3 Col: 17
let myVar = 2 + 1
^
Expecting: newline
All this according to the following text to be parsed:
loop i 0 10
let myVar = 2 + 1
print myVar
Here is my code:
open FParsec
// module IndentationParserWithoutBacktracking // see the link
// Utils
open IndentationParserWithoutBacktracking
let isBlank = fun c -> c = ' ' || c = '\t'
let ws = spaces
let ws1 = skipMany1SatisfyL isBlank "whitespace"
let str s = pstring s .>> ws
let keyword str = pstring str >>? nextCharSatisfiesNot (fun c -> isLetter c || isDigit c) <?> str
// AST
type Identifier = Identifier of string
type InfixOp =
| Sum | Sub | Mul | Div | Pow | Mod
| And | Or | Equal | NotEqual | Greater | Smaller | GreaterEqual | SmallerEqual
type Value =
| Int of int
| Float of float
| Bool of bool
| String of string
| Char of char
| Variable of Identifier
type Expr =
| Literal of Value
| Infix of Expr * InfixOp * Expr
| List of Expr list
| Tuple of Expr list
type Statement =
| Expression of Expr
| Let of Identifier * Statement list
| Loop of Identifier * Expr * Expr * Statement list
| Print of Identifier
// Literals
let numberFormat = NumberLiteralOptions.AllowMinusSign ||| NumberLiteralOptions.AllowFraction |||
NumberLiteralOptions.AllowHexadecimal ||| NumberLiteralOptions.AllowOctal |||
NumberLiteralOptions.AllowBinary ||| NumberLiteralOptions.AllowPlusSign
let literal_numeric =
numberLiteral numberFormat "number" |>> fun nl ->
if nl.IsInteger then Literal (Int(int nl.String))
else Literal (Float(float nl.String))
let literal_bool =
(choice [
(stringReturn "true" (Literal (Bool true)))
(stringReturn "false" (Literal (Bool false)))
]
.>> ws) <?> "boolean"
let literal_string =
(between (pstring "\"") (pstring "\"") (manyChars (satisfy (fun c -> c <> '"')))
|>> fun s -> Literal (String s)) <?> "string"
let literal_char =
(between (pstring "'") (pstring "'") (satisfy (fun c -> c <> '''))
|>> fun c -> Literal (Char c)) <?> "character"
let identifier =
(many1Satisfy2L isLetter (fun c -> isLetter c || isDigit c) "identifier"
|>> fun i -> Identifier i) <?> "valid identifier"
let betweenParentheses p =
(between (str "(") (str ")") p)
let variable = identifier |>> fun id -> Literal (Variable id)
let literal = (attempt literal_numeric <|>
attempt literal_bool <|>
attempt literal_char <|>
attempt literal_string <|>
attempt variable) <?> "literal"
// Expressions
let pexpr, pexprimpl = createParserForwardedToRef()
let term =
(ws >>. literal .>> ws) <|>
(betweenParentheses (ws >>. pexpr)) <|>
(ws >>. pexpr .>> ws)
let infixOperator (p: OperatorPrecedenceParser<_, _, _>) op prec map =
p.AddOperator(InfixOperator(op, ws, prec, Associativity.Left, map))
let ops =
// Arithmetic
[ "+"; "-"; "*"; "/"; "%" ] #
// Logical
[ "&&"; "||"; "=="; "!="; ">"; "<"; ">="; "<=" ]
let opCorrespondance op =
match op with
// Arithmetic operators
| "+" -> Sum
| "-" -> Sub
| "*" -> Mul
| "/" -> Div
| "%" -> Mod
// Logical operators
| "&&" -> And
| "||" -> Or
| "==" -> Equal
| "!=" -> NotEqual
| ">" -> Greater
| "<" -> Smaller
| ">=" -> GreaterEqual
| "<=" -> SmallerEqual
let opParser = new OperatorPrecedenceParser<_, _, _>()
for op in ops do
infixOperator opParser op 1 (fun x y -> Infix(x, opCorrespondance op, y))
opParser.TermParser <- term
let list = between (str "[") (str "]") (sepBy pexpr (str ",")) |>> List
let tuple = between (str "(") (str ")") (sepBy pexpr (str ",")) |>> Tuple
let expression =
opParser.ExpressionParser <|> // I removed this line to don't have the mistake again.
list <|>
tuple <|>
literal
pexprimpl := attempt expression
// Statements
let statements, statementsRef = createParserForwardedToRef()
let pexpression = expression |>> Expression
let plet =
pipe2
(keyword "let" >>. ws1 >>. identifier)
(ws >>. str "=" >>. ws >>. statements)
(fun id gtt exp -> Let(id, gtt, exp))
// From the link, but "revisited"
let ploop =
pipe4
(keyword "loop" >>. ws1 >>. identifier)
(ws1 >>. literal) // If I put 'pexpr', it doesn't work too...
(ws1 >>. literal)
(statements)
(fun id min max stmts -> Loop(id, min, max, stmts))
let print = keyword "print" >>. (ws1 >>. identifier |>> Print)
let statement =
attempt plet <|>
attempt print <|>
attempt ploop <|>
attempt pexpression
statementsRef := indentedMany1 statement "statement"
let document = statements .>> spaces .>> eof
let test str =
match runParserOnString document (UserState.Create()) "" str with
| Success(result, _, _) -> printfn "Success: %A" result
| Failure(errorMsg, _, _) -> printfn "Failure: %s" errorMsg
System.Console.Clear()
test #"
loop i 0 10
let myVar = 2 + 1
print myVar
"
I know I ask several questions at the same time, and the site doesn't really allow it, but they're all a little linked together, so I might as well kill two birds with one stone...
I would really like to understand my mistakes, in order to design a parser for a very small ML-like language.
Thank you.
Edit
Here is my current code, which has been modified to respond to the first problems encountered with indentation:
open IndentationParserWithoutBacktracking // So from the link
let isBlank = fun c -> c = ' ' || c = '\t'
let ws = spaces
let ws1 = skipMany1SatisfyL isBlank "whitespace"
let str s = pstring s .>> ws
let keyword str = pstring str >>? nextCharSatisfiesNot (fun c -> isLetter c || isDigit c) <?> str
// AST
type Identifier = Identifier of string
type Value =
| Int of int
| Float of float
| Bool of bool
| String of string
| Char of char
| Variable of Identifier
// In FP, "all" is an expression, so:
type Expr =
// Arithmetic + lists and tuple
| Literal of Value
| Infix of Expr * InfixOp * Expr
| List of Expr list
| Tuple of Expr list
// Statements
| Return of Expr
| Loop of Identifier * Expr * Expr * Expr list
| Print of Identifier
and InfixOp =
| Sum | Sub | Mul | Div | Pow | Mod
| And | Or | Equal | NotEqual | Greater | Smaller | GreaterEqual | SmallerEqual
// Literals
let numberFormat = NumberLiteralOptions.AllowMinusSign ||| NumberLiteralOptions.AllowFraction |||
NumberLiteralOptions.AllowHexadecimal ||| NumberLiteralOptions.AllowOctal |||
NumberLiteralOptions.AllowBinary
let literal_numeric =
numberLiteral numberFormat "number" |>> fun nl ->
if nl.IsInteger then Literal (Int(int nl.String))
else Literal (Float(float nl.String))
let literal_bool =
(choice [
(stringReturn "true" (Literal (Bool true)))
(stringReturn "false" (Literal (Bool false)))
]
.>> ws) <?> "boolean"
let literal_string =
(between (pstring "\"") (pstring "\"") (manyChars (satisfy (fun c -> c <> '"')))
|>> fun s -> Literal (String s)) <?> "string"
let literal_char =
(between (pstring "'") (pstring "'") (satisfy (fun c -> c <> '''))
|>> fun c -> Literal (Char c)) <?> "character"
let identifier =
(many1Satisfy2L isLetter (fun c -> isLetter c || isDigit c) "identifier"
|>> fun i -> Identifier i) <?> "identifier"
let betweenParentheses p =
(between (str "(") (str ")") p) <?> ""
let variable = identifier |>> fun id -> Literal (Variable id)
let literal = (attempt literal_numeric <|>
attempt literal_bool <|>
attempt literal_char <|>
attempt literal_string <|>
attempt variable) <?> "literal"
// Expressions and statements
let pexprs, pexprimpl = createParserForwardedToRef()
// `ploop` is located here to force `pexprs` to be of the type `Expr list`, `ploop` requesting an expression list.
let ploop =
pipe4
(keyword "loop" >>. ws1 >>. identifier)
(ws1 >>. literal)
(ws1 >>. literal)
(pexprs)
(fun id min max stmts -> Loop(id, min, max, stmts))
// `singlepexpr` allows to use only one expression.
let singlepexpr =
pexprs |>> fun ex -> ex.Head
let term =
(ws >>. singlepexpr .>> ws) <|>
(betweenParentheses (ws >>. singlepexpr)) <|>
(ws >>. literal .>> ws) <|>
(betweenParentheses (ws >>. literal))
let infixOperator (p: OperatorPrecedenceParser<_, _, _>) op prec map =
p.AddOperator(InfixOperator(op, ws, prec, Associativity.Left, map))
let ops =
// Arithmetic
[ "+"; "-"; "*"; "/"; "%" ] #
// Logical
[ "&&"; "||"; "=="; "!="; ">"; "<"; ">="; "<=" ]
let opCorrespondance op =
match op with
// Arithmetic operators
| "+" -> Sum
| "-" -> Sub
| "*" -> Mul
| "/" -> Div
| "%" -> Mod
// Logical operators
| "&&" -> And
| "||" -> Or
| "==" -> Equal
| "!=" -> NotEqual
| ">" -> Greater
| "<" -> Smaller
| ">=" -> GreaterEqual
| "<=" -> SmallerEqual
let opParser = new OperatorPrecedenceParser<Expr, unit, UserState>()
for op in ops do
infixOperator opParser op 1 (fun x y -> Infix(x, opCorrespondance op, y))
opParser.TermParser <- term
let list = (between (str "[") (str "]") (sepBy singlepexpr (str ",")) |>> List) <?> "list"
let tuple = (between (str "(") (str ")") (sepBy singlepexpr (str ",")) |>> Tuple) <?> "tuple"
// Statements
// A commented `let` expression, commented for tests with the `return` instruction.
//let plet =
// pipe3
// (keyword "let" >>. ws1 >>. identifier)
// (ws >>. gtt ":")
// (ws >>. str "=" >>. ws >>. pexprs)
// (fun id gtt exp -> Let(id, gtt, exp))
let preturn =
keyword "return" >>. ws >>. singlepexpr
|>> fun ex -> Return ex
let print = keyword "print" >>. (ws1 >>. identifier |>> Print)
let instruction =
print <|>
ploop <|>
preturn <|>
opParser.ExpressionParser <|> // So we add the arithmetic, like x + y or 21 * 32 - 12 for example
list <|>
tuple <|>
literal
pexprimpl := indentedMany1 instruction "instruction"
let document = pexprs .>> spaces .>> eof
let test str =
match runParserOnString document (UserState.Create()) "" str with
| Success(result, _, _) -> printfn "%A" result
| Failure(errorMsg, _, _) -> printfn "%s" errorMsg
System.Console.Clear()
// The test code that give an error of "newline" expecting
let code = test #"
return 2 + 1
"
And here some screenshots about error:
The reason why indentedMany1 tells you it's expecting a newline in your example code is because that's what it's looking for: an indented block. Not an expression on one line. So your let myVar = 2 + 1 line is confusing it. If you wrote it as:
let myVar =
2 + 1
then I bet it would work.
What you need, I believe, is to change your let parser to allow one of two things: either an expression on a single line, or a block of statements (your statements parser). I.e., something like:
let pLetValue = expression <|> statements
let plet =
pipe2
(keyword "let" >>. ws1 >>. identifier)
(ws >>. str "=" >>. ws >>. pLetValue)
(fun id gtt exp -> Let(id, gtt, exp))
Note that I haven't tested this, as I don't have much time today. It's possible that instead of expression above, you'd want attempt expression (or pexpr, which is the same thing). Experiment a little and see what happens; and if you're completely lost as you try to figure out how FParsec is handling a given expression, remember the advice given in http://www.quanttec.com/fparsec/users-guide/debugging-a-parser.html.
I am working on the parsing stage for the language I am making and am having difficulty with the following.
let test2 = // I'd like this to be an error.
"""
2
+ 2
"""
let result = run (spaces >>. expr) test2
val result : ParserResult<CudaExpr,unit> =
Success: Add (LitInt32 2,LitInt32 2)
I already managed to make the following example when the terms are indented incorrectly
2 +
2
give me an error, but not when the operator is on the wrong indentation level. I need something like a before-parse check.
let operators expr i =
let f expr (s: CharStream<_>) = if i <= s.Column then expr s else pzero s
opp.TermParser <- f expr
f opp.ExpressionParser
The above function is how the operators phase is structured and as you can see, the term parsers get wrapped in a function that does the indentation check, but the last line is faulty.
Here is a simplified example of the full parser.
#r "../../packages/FParsec.1.0.2/lib/net40-client/FParsecCS.dll"
#r "../../packages/FParsec.1.0.2/lib/net40-client/FParsec.dll"
open FParsec
type Expr =
| V of string
| Add of Expr * Expr
let identifier = many1Satisfy2L isAsciiLetter (fun x -> isAsciiLetter x || isDigit x || x = ''') "identifier" .>> spaces |>> V
let indentations expressions (s: CharStream<_>) =
let i = s.Column
let expr_indent expr (s: CharStream<_>) =
let expr (s: CharStream<_>) = if i <= s.Column then expr s else pzero s
many1 expr s
expr_indent (expressions i) s
let expr =
let opp = new OperatorPrecedenceParser<_,_,_>()
opp.AddOperator(InfixOperator("+", spaces, 6, Associativity.Left, fun x y -> Add(x,y)))
let operators expr i =
let f (s: CharStream<_>) = if i <= s.Column then expr s else pzero s
opp.TermParser <- f
f opp.ExpressionParser
let rec expr s = indentations (operators identifier) s
expr
let test2 = // I'd like this to be an error.
"""
a
+
b
"""
let result = run (spaces >>. expr) test2
The full parser so far can be found here.
let operators expr i =
let f (s: CharStream<_>) = if i <= s.Column then expr s else pzero s
opp.TermParser <- f
f opp.ExpressionParser
I did not realize it 2.5 weeks ago, but what happens when a new block gets opened and expr s gets called is that the term parser gets overwritten with the new indentation and there is no way to back it up and restore it on exit. I did a bit of looking around and managed to adapt the Pratt top down parsing method for my purposes.
Here is a talk by Douglas Crockford on the method.
let poperator: Parser<_,_> =
let f c = (isAsciiIdContinue c || isAnyOf [|' ';'\t';'\n';'\"';'(';')';'{';'}';'[';']'|] c) = false
(many1Satisfy f .>> spaces)
>>= fun token ->
match dict_operator.TryGetValue token with
| true, x -> preturn x
| false, _ -> fail "unknown operator"
let rec led poperator term left (prec,asoc,m) =
match asoc with
| Associativity.Left | Associativity.None -> tdop poperator term prec |>> m left
| Associativity.Right -> tdop poperator term (prec-1) |>> m left
| _ -> failwith "impossible"
and tdop poperator term rbp =
let rec f left =
poperator >>= fun (prec,asoc,m as v) ->
if rbp < prec then led poperator term left v >>= loop
else pzero
and loop left = attempt (f left) <|>% left
term >>= loop
let operators expr i (s: CharStream<_>) =
let expr_indent expr (s: CharStream<_>) = expr_indent i (<=) expr s
let op s = expr_indent poperator s
let term s = expr_indent expr s
tdop op term 0 s
The led and tdop functions which do the actual precedence parsing are 10 lines long. The above is just a snippet of the full parser for the language I am making - in terms of syntax it is similar to F# and is indentation sensitive. Here is a more straightforward F# translation of Douglas Crockford's Javascript example.
I tried to parse a prefix function such as Pow(3+2,2) using FParsec. I read the calculator tutorial in the example files as follows. The examples are all unary prefix function. I wonder how can I achieve prefix functions with more than one inputs using FParsec.OperatorPrecedenceParser.
http://www.quanttec.com/fparsec/reference/operatorprecedenceparser.html#members.PrefixOperator
let number = pfloat .>> ws
let opp = new OperatorPrecedenceParser<float,unit,unit>()
let expr = opp.ExpressionParser
opp.TermParser <- number <|> between (str_ws "(") (str_ws ")") expr
opp.AddOperator(InfixOperator("+", ws, 1, Associativity.Left, (+)))
opp.AddOperator(InfixOperator("-", ws, 1, Associativity.Left, (-)))
opp.AddOperator(InfixOperator("*", ws, 2, Associativity.Left, (*)))
opp.AddOperator(InfixOperator("/", ws, 2, Associativity.Left, (/)))
opp.AddOperator(InfixOperator("^", ws, 3, Associativity.Right, fun x y -> System.Math.Pow(x, y)))
opp.AddOperator(PrefixOperator("-", ws, 4, true, fun x -> -x))
let ws1 = nextCharSatisfiesNot isLetter >>. ws
opp.AddOperator(PrefixOperator("log", ws1, 4, true, System.Math.Log))
opp.AddOperator(PrefixOperator("exp", ws1, 4, true, System.Math.Exp))
Update 1
I've written a quick script following after-string parser example as I need after-string parser for the actual application
http://www.quanttec.com/fparsec/users-guide/tips-and-tricks.html#parsing-f-infix-operators
abs(pow(1,2)) can be parsed but pow(abs(1),2) cannot be done. I'm puzzled about how to use prefix function as part of the input for identWithArgs.
#I #"..\packages\FParsec.1.0.2\lib\net40-client"
#r "FParsecCS.dll"
#r "FParsec.dll"
open FParsec
type PrefixFunc = POW
type Expr =
| InfixOpExpr of string * Expr * Expr
| PrefixOpExpr of string * Expr
| PrefixFuncExpr of PrefixFunc * Expr list
| Number of int
let ws = spaces
let ws1 = spaces1
let str s = pstring s
let str_ws s = ws >>. str s .>> ws
let strci s = pstringCI s
let strci_ws s = ws >>. strci s .>> ws
let strciret_ws s x = ws >>. strci s .>> ws >>% x
let isSymbolicOperatorChar = isAnyOf "!%&*+-./<=>#^|~?"
let remainingOpChars_ws = manySatisfy isSymbolicOperatorChar .>> ws
let primitive = pint32 .>> ws |>> Number
let argList = sepBy primitive (str_ws ",")
let argListInParens = between (str_ws "(") (str_ws ")") argList
let prefixFunc = strciret_ws "pow" POW
let identWithArgs =
pipe2 prefixFunc argListInParens (fun funcId args -> PrefixFuncExpr(funcId, args))
let opp = new OperatorPrecedenceParser<Expr, string, unit>()
opp.TermParser <-
primitive <|>
identWithArgs <|>
between (pstring "(") (pstring ")") opp.ExpressionParser
// a helper function for adding infix operators to opp
let addSymbolicInfixOperators prefix precedence associativity =
let op = InfixOperator(prefix, remainingOpChars_ws,
precedence, associativity, (),
fun remOpChars expr1 expr2 ->
InfixOpExpr(prefix + remOpChars, expr1, expr2))
opp.AddOperator(op)
// the operator definitions:
addSymbolicInfixOperators "*" 10 Associativity.Left
addSymbolicInfixOperators "**" 20 Associativity.Right
opp.AddOperator(PrefixOperator("abs",remainingOpChars_ws,3,true,(),fun remOpChars expr -> PrefixOpExpr("abs", expr)))
opp.AddOperator(PrefixOperator("log",remainingOpChars_ws,3,true,(),fun remOpChars expr -> PrefixOpExpr("log", expr)))
run opp.ExpressionParser "abs(pow(1,2))"
run opp.ExpressionParser "pow(abs(1),2)"
I started to review the problem after one year and finally realized the problem.
I've changed the following code
let argList = sepBy primitive (str_ws ",")
to the following
let opp = new OperatorPrecedenceParser<Expr, string, unit>()
let argList = sepBy opp.ExpressionParser (str_ws ",")
I bring OperatorPrecedenceParser to the beginning of the code. And then I achieve recursively calling opp.ExpressionParser by putting it directly into argList.
I just realized that OperatorPrecedenceParser is very similar to createParserForwardedToRef. It creates a parser first without writing down implementation until later. FParsec has to achieve recursiveness in this way. Similar to its JSON sample parser.
After this change, both abs(pow(1,2)) and pow(abs(1),2) can be parsed. Hope this helps others who ever got this problem.