1442 lines
		
	
	
		
			58 KiB
		
	
	
	
		
			ReStructuredText
		
	
	
	
			
		
		
	
	
			1442 lines
		
	
	
		
			58 KiB
		
	
	
	
		
			ReStructuredText
		
	
	
	
| ============================================================
 | |
| Kaleidoscope: Extending the Language: User-defined Operators
 | |
| ============================================================
 | |
| 
 | |
| .. contents::
 | |
|    :local:
 | |
| 
 | |
| Chapter 6 Introduction
 | |
| ======================
 | |
| 
 | |
| Welcome to Chapter 6 of the "`Implementing a language with
 | |
| LLVM <index.html>`_" tutorial. At this point in our tutorial, we now
 | |
| have a fully functional language that is fairly minimal, but also
 | |
| useful. There is still one big problem with it, however. Our language
 | |
| doesn't have many useful operators (like division, logical negation, or
 | |
| even any comparisons besides less-than).
 | |
| 
 | |
| This chapter of the tutorial takes a wild digression into adding
 | |
| user-defined operators to the simple and beautiful Kaleidoscope
 | |
| language. This digression now gives us a simple and ugly language in
 | |
| some ways, but also a powerful one at the same time. One of the great
 | |
| things about creating your own language is that you get to decide what
 | |
| is good or bad. In this tutorial we'll assume that it is okay to use
 | |
| this as a way to show some interesting parsing techniques.
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| 
 | |
| At the end of this tutorial, we'll run through an example Kaleidoscope
 | |
| application that `renders the Mandelbrot set <#kicking-the-tires>`_. This gives an
 | |
| example of what you can build with Kaleidoscope and its feature set.
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| 
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| User-defined Operators: the Idea
 | |
| ================================
 | |
| 
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| The "operator overloading" that we will add to Kaleidoscope is more
 | |
| general than languages like C++. In C++, you are only allowed to
 | |
| redefine existing operators: you can't programmatically change the
 | |
| grammar, introduce new operators, change precedence levels, etc. In this
 | |
| chapter, we will add this capability to Kaleidoscope, which will let the
 | |
| user round out the set of operators that are supported.
 | |
| 
 | |
| The point of going into user-defined operators in a tutorial like this
 | |
| is to show the power and flexibility of using a hand-written parser.
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| Thus far, the parser we have been implementing uses recursive descent
 | |
| for most parts of the grammar and operator precedence parsing for the
 | |
| expressions. See `Chapter 2 <OCamlLangImpl2.html>`_ for details. Without
 | |
| using operator precedence parsing, it would be very difficult to allow
 | |
| the programmer to introduce new operators into the grammar: the grammar
 | |
| is dynamically extensible as the JIT runs.
 | |
| 
 | |
| The two specific features we'll add are programmable unary operators
 | |
| (right now, Kaleidoscope has no unary operators at all) as well as
 | |
| binary operators. An example of this is:
 | |
| 
 | |
| ::
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| 
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|     # Logical unary not.
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|     def unary!(v)
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|       if v then
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|         0
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|       else
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|         1;
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| 
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|     # Define > with the same precedence as <.
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|     def binary> 10 (LHS RHS)
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|       RHS < LHS;
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| 
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|     # Binary "logical or", (note that it does not "short circuit")
 | |
|     def binary| 5 (LHS RHS)
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|       if LHS then
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|         1
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|       else if RHS then
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|         1
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|       else
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|         0;
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| 
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|     # Define = with slightly lower precedence than relationals.
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|     def binary= 9 (LHS RHS)
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|       !(LHS < RHS | LHS > RHS);
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| 
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| Many languages aspire to being able to implement their standard runtime
 | |
| library in the language itself. In Kaleidoscope, we can implement
 | |
| significant parts of the language in the library!
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| 
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| We will break down implementation of these features into two parts:
 | |
| implementing support for user-defined binary operators and adding unary
 | |
| operators.
 | |
| 
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| User-defined Binary Operators
 | |
| =============================
 | |
| 
 | |
| Adding support for user-defined binary operators is pretty simple with
 | |
| our current framework. We'll first add support for the unary/binary
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| keywords:
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| 
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| .. code-block:: ocaml
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| 
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|     type token =
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|       ...
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|       (* operators *)
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|       | Binary | Unary
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| 
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|     ...
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| 
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|     and lex_ident buffer = parser
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|       ...
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|           | "for" -> [< 'Token.For; stream >]
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|           | "in" -> [< 'Token.In; stream >]
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|           | "binary" -> [< 'Token.Binary; stream >]
 | |
|           | "unary" -> [< 'Token.Unary; stream >]
 | |
| 
 | |
| This just adds lexer support for the unary and binary keywords, like we
 | |
| did in `previous chapters <OCamlLangImpl5.html#lexer-extensions-for-if-then-else>`_. One nice
 | |
| thing about our current AST, is that we represent binary operators with
 | |
| full generalisation by using their ASCII code as the opcode. For our
 | |
| extended operators, we'll use this same representation, so we don't need
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| any new AST or parser support.
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| 
 | |
| On the other hand, we have to be able to represent the definitions of
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| these new operators, in the "def binary\| 5" part of the function
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| definition. In our grammar so far, the "name" for the function
 | |
| definition is parsed as the "prototype" production and into the
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| ``Ast.Prototype`` AST node. To represent our new user-defined operators
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| as prototypes, we have to extend the ``Ast.Prototype`` AST node like
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| this:
 | |
| 
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| .. code-block:: ocaml
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| 
 | |
|     (* proto - This type represents the "prototype" for a function, which captures
 | |
|      * its name, and its argument names (thus implicitly the number of arguments the
 | |
|      * function takes). *)
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|     type proto =
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|       | Prototype of string * string array
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|       | BinOpPrototype of string * string array * int
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| 
 | |
| Basically, in addition to knowing a name for the prototype, we now keep
 | |
| track of whether it was an operator, and if it was, what precedence
 | |
| level the operator is at. The precedence is only used for binary
 | |
| operators (as you'll see below, it just doesn't apply for unary
 | |
| operators). Now that we have a way to represent the prototype for a
 | |
| user-defined operator, we need to parse it:
 | |
| 
 | |
| .. code-block:: ocaml
 | |
| 
 | |
|     (* prototype
 | |
|      *   ::= id '(' id* ')'
 | |
|      *   ::= binary LETTER number? (id, id)
 | |
|      *   ::= unary LETTER number? (id) *)
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|     let parse_prototype =
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|       let rec parse_args accumulator = parser
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|         | [< 'Token.Ident id; e=parse_args (id::accumulator) >] -> e
 | |
|         | [< >] -> accumulator
 | |
|       in
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|       let parse_operator = parser
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|         | [< 'Token.Unary >] -> "unary", 1
 | |
|         | [< 'Token.Binary >] -> "binary", 2
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|       in
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|       let parse_binary_precedence = parser
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|         | [< 'Token.Number n >] -> int_of_float n
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|         | [< >] -> 30
 | |
|       in
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|       parser
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|       | [< 'Token.Ident id;
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|            'Token.Kwd '(' ?? "expected '(' in prototype";
 | |
|            args=parse_args [];
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|            'Token.Kwd ')' ?? "expected ')' in prototype" >] ->
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|           (* success. *)
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|           Ast.Prototype (id, Array.of_list (List.rev args))
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|       | [< (prefix, kind)=parse_operator;
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|            'Token.Kwd op ?? "expected an operator";
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|            (* Read the precedence if present. *)
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|            binary_precedence=parse_binary_precedence;
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|            'Token.Kwd '(' ?? "expected '(' in prototype";
 | |
|             args=parse_args [];
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|            'Token.Kwd ')' ?? "expected ')' in prototype" >] ->
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|           let name = prefix ^ (String.make 1 op) in
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|           let args = Array.of_list (List.rev args) in
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| 
 | |
|           (* Verify right number of arguments for operator. *)
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|           if Array.length args != kind
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|           then raise (Stream.Error "invalid number of operands for operator")
 | |
|           else
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|             if kind == 1 then
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|               Ast.Prototype (name, args)
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|             else
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|               Ast.BinOpPrototype (name, args, binary_precedence)
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|       | [< >] ->
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|           raise (Stream.Error "expected function name in prototype")
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| 
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| This is all fairly straightforward parsing code, and we have already
 | |
| seen a lot of similar code in the past. One interesting part about the
 | |
| code above is the couple lines that set up ``name`` for binary
 | |
| operators. This builds names like "binary@" for a newly defined "@"
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| operator. This then takes advantage of the fact that symbol names in the
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| LLVM symbol table are allowed to have any character in them, including
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| embedded nul characters.
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| 
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| The next interesting thing to add, is codegen support for these binary
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| operators. Given our current structure, this is a simple addition of a
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| default case for our existing binary operator node:
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| 
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| .. code-block:: ocaml
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| 
 | |
|     let codegen_expr = function
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|       ...
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|       | Ast.Binary (op, lhs, rhs) ->
 | |
|           let lhs_val = codegen_expr lhs in
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|           let rhs_val = codegen_expr rhs in
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|           begin
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|             match op with
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|             | '+' -> build_add lhs_val rhs_val "addtmp" builder
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|             | '-' -> build_sub lhs_val rhs_val "subtmp" builder
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|             | '*' -> build_mul lhs_val rhs_val "multmp" builder
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|             | '<' ->
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|                 (* Convert bool 0/1 to double 0.0 or 1.0 *)
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|                 let i = build_fcmp Fcmp.Ult lhs_val rhs_val "cmptmp" builder in
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|                 build_uitofp i double_type "booltmp" builder
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|             | _ ->
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|                 (* If it wasn't a builtin binary operator, it must be a user defined
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|                  * one. Emit a call to it. *)
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|                 let callee = "binary" ^ (String.make 1 op) in
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|                 let callee =
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|                   match lookup_function callee the_module with
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|                   | Some callee -> callee
 | |
|                   | None -> raise (Error "binary operator not found!")
 | |
|                 in
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|                 build_call callee [|lhs_val; rhs_val|] "binop" builder
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|           end
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| 
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| As you can see above, the new code is actually really simple. It just
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| does a lookup for the appropriate operator in the symbol table and
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| generates a function call to it. Since user-defined operators are just
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| built as normal functions (because the "prototype" boils down to a
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| function with the right name) everything falls into place.
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| 
 | |
| The final piece of code we are missing, is a bit of top level magic:
 | |
| 
 | |
| .. code-block:: ocaml
 | |
| 
 | |
|     let codegen_func the_fpm = function
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|       | Ast.Function (proto, body) ->
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|           Hashtbl.clear named_values;
 | |
|           let the_function = codegen_proto proto in
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| 
 | |
|           (* If this is an operator, install it. *)
 | |
|           begin match proto with
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|           | Ast.BinOpPrototype (name, args, prec) ->
 | |
|               let op = name.[String.length name - 1] in
 | |
|               Hashtbl.add Parser.binop_precedence op prec;
 | |
|           | _ -> ()
 | |
|           end;
 | |
| 
 | |
|           (* Create a new basic block to start insertion into. *)
 | |
|           let bb = append_block context "entry" the_function in
 | |
|           position_at_end bb builder;
 | |
|           ...
 | |
| 
 | |
| Basically, before codegening a function, if it is a user-defined
 | |
| operator, we register it in the precedence table. This allows the binary
 | |
| operator parsing logic we already have in place to handle it. Since we
 | |
| are working on a fully-general operator precedence parser, this is all
 | |
| we need to do to "extend the grammar".
 | |
| 
 | |
| Now we have useful user-defined binary operators. This builds a lot on
 | |
| the previous framework we built for other operators. Adding unary
 | |
| operators is a bit more challenging, because we don't have any framework
 | |
| for it yet - lets see what it takes.
 | |
| 
 | |
| User-defined Unary Operators
 | |
| ============================
 | |
| 
 | |
| Since we don't currently support unary operators in the Kaleidoscope
 | |
| language, we'll need to add everything to support them. Above, we added
 | |
| simple support for the 'unary' keyword to the lexer. In addition to
 | |
| that, we need an AST node:
 | |
| 
 | |
| .. code-block:: ocaml
 | |
| 
 | |
|     type expr =
 | |
|       ...
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|       (* variant for a unary operator. *)
 | |
|       | Unary of char * expr
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|       ...
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| 
 | |
| This AST node is very simple and obvious by now. It directly mirrors the
 | |
| binary operator AST node, except that it only has one child. With this,
 | |
| we need to add the parsing logic. Parsing a unary operator is pretty
 | |
| simple: we'll add a new function to do it:
 | |
| 
 | |
| .. code-block:: ocaml
 | |
| 
 | |
|     (* unary
 | |
|      *   ::= primary
 | |
|      *   ::= '!' unary *)
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|     and parse_unary = parser
 | |
|       (* If this is a unary operator, read it. *)
 | |
|       | [< 'Token.Kwd op when op != '(' && op != ')'; operand=parse_expr >] ->
 | |
|           Ast.Unary (op, operand)
 | |
| 
 | |
|       (* If the current token is not an operator, it must be a primary expr. *)
 | |
|       | [< stream >] -> parse_primary stream
 | |
| 
 | |
| The grammar we add is pretty straightforward here. If we see a unary
 | |
| operator when parsing a primary operator, we eat the operator as a
 | |
| prefix and parse the remaining piece as another unary operator. This
 | |
| allows us to handle multiple unary operators (e.g. "!!x"). Note that
 | |
| unary operators can't have ambiguous parses like binary operators can,
 | |
| so there is no need for precedence information.
 | |
| 
 | |
| The problem with this function, is that we need to call ParseUnary from
 | |
| somewhere. To do this, we change previous callers of ParsePrimary to
 | |
| call ``parse_unary`` instead:
 | |
| 
 | |
| .. code-block:: ocaml
 | |
| 
 | |
|     (* binoprhs
 | |
|      *   ::= ('+' primary)* *)
 | |
|     and parse_bin_rhs expr_prec lhs stream =
 | |
|             ...
 | |
|             (* Parse the unary expression after the binary operator. *)
 | |
|             let rhs = parse_unary stream in
 | |
|             ...
 | |
| 
 | |
|     ...
 | |
| 
 | |
|     (* expression
 | |
|      *   ::= primary binoprhs *)
 | |
|     and parse_expr = parser
 | |
|       | [< lhs=parse_unary; stream >] -> parse_bin_rhs 0 lhs stream
 | |
| 
 | |
| With these two simple changes, we are now able to parse unary operators
 | |
| and build the AST for them. Next up, we need to add parser support for
 | |
| prototypes, to parse the unary operator prototype. We extend the binary
 | |
| operator code above with:
 | |
| 
 | |
| .. code-block:: ocaml
 | |
| 
 | |
|     (* prototype
 | |
|      *   ::= id '(' id* ')'
 | |
|      *   ::= binary LETTER number? (id, id)
 | |
|      *   ::= unary LETTER number? (id) *)
 | |
|     let parse_prototype =
 | |
|       let rec parse_args accumulator = parser
 | |
|         | [< 'Token.Ident id; e=parse_args (id::accumulator) >] -> e
 | |
|         | [< >] -> accumulator
 | |
|       in
 | |
|       let parse_operator = parser
 | |
|         | [< 'Token.Unary >] -> "unary", 1
 | |
|         | [< 'Token.Binary >] -> "binary", 2
 | |
|       in
 | |
|       let parse_binary_precedence = parser
 | |
|         | [< 'Token.Number n >] -> int_of_float n
 | |
|         | [< >] -> 30
 | |
|       in
 | |
|       parser
 | |
|       | [< 'Token.Ident id;
 | |
|            'Token.Kwd '(' ?? "expected '(' in prototype";
 | |
|            args=parse_args [];
 | |
|            'Token.Kwd ')' ?? "expected ')' in prototype" >] ->
 | |
|           (* success. *)
 | |
|           Ast.Prototype (id, Array.of_list (List.rev args))
 | |
|       | [< (prefix, kind)=parse_operator;
 | |
|            'Token.Kwd op ?? "expected an operator";
 | |
|            (* Read the precedence if present. *)
 | |
|            binary_precedence=parse_binary_precedence;
 | |
|            'Token.Kwd '(' ?? "expected '(' in prototype";
 | |
|             args=parse_args [];
 | |
|            'Token.Kwd ')' ?? "expected ')' in prototype" >] ->
 | |
|           let name = prefix ^ (String.make 1 op) in
 | |
|           let args = Array.of_list (List.rev args) in
 | |
| 
 | |
|           (* Verify right number of arguments for operator. *)
 | |
|           if Array.length args != kind
 | |
|           then raise (Stream.Error "invalid number of operands for operator")
 | |
|           else
 | |
|             if kind == 1 then
 | |
|               Ast.Prototype (name, args)
 | |
|             else
 | |
|               Ast.BinOpPrototype (name, args, binary_precedence)
 | |
|       | [< >] ->
 | |
|           raise (Stream.Error "expected function name in prototype")
 | |
| 
 | |
| As with binary operators, we name unary operators with a name that
 | |
| includes the operator character. This assists us at code generation
 | |
| time. Speaking of, the final piece we need to add is codegen support for
 | |
| unary operators. It looks like this:
 | |
| 
 | |
| .. code-block:: ocaml
 | |
| 
 | |
|     let rec codegen_expr = function
 | |
|       ...
 | |
|       | Ast.Unary (op, operand) ->
 | |
|           let operand = codegen_expr operand in
 | |
|           let callee = "unary" ^ (String.make 1 op) in
 | |
|           let callee =
 | |
|             match lookup_function callee the_module with
 | |
|             | Some callee -> callee
 | |
|             | None -> raise (Error "unknown unary operator")
 | |
|           in
 | |
|           build_call callee [|operand|] "unop" builder
 | |
| 
 | |
| This code is similar to, but simpler than, the code for binary
 | |
| operators. It is simpler primarily because it doesn't need to handle any
 | |
| predefined operators.
 | |
| 
 | |
| Kicking the Tires
 | |
| =================
 | |
| 
 | |
| It is somewhat hard to believe, but with a few simple extensions we've
 | |
| covered in the last chapters, we have grown a real-ish language. With
 | |
| this, we can do a lot of interesting things, including I/O, math, and a
 | |
| bunch of other things. For example, we can now add a nice sequencing
 | |
| operator (printd is defined to print out the specified value and a
 | |
| newline):
 | |
| 
 | |
| ::
 | |
| 
 | |
|     ready> extern printd(x);
 | |
|     Read extern: declare double @printd(double)
 | |
|     ready> def binary : 1 (x y) 0;  # Low-precedence operator that ignores operands.
 | |
|     ..
 | |
|     ready> printd(123) : printd(456) : printd(789);
 | |
|     123.000000
 | |
|     456.000000
 | |
|     789.000000
 | |
|     Evaluated to 0.000000
 | |
| 
 | |
| We can also define a bunch of other "primitive" operations, such as:
 | |
| 
 | |
| ::
 | |
| 
 | |
|     # Logical unary not.
 | |
|     def unary!(v)
 | |
|       if v then
 | |
|         0
 | |
|       else
 | |
|         1;
 | |
| 
 | |
|     # Unary negate.
 | |
|     def unary-(v)
 | |
|       0-v;
 | |
| 
 | |
|     # Define > with the same precedence as <.
 | |
|     def binary> 10 (LHS RHS)
 | |
|       RHS < LHS;
 | |
| 
 | |
|     # Binary logical or, which does not short circuit.
 | |
|     def binary| 5 (LHS RHS)
 | |
|       if LHS then
 | |
|         1
 | |
|       else if RHS then
 | |
|         1
 | |
|       else
 | |
|         0;
 | |
| 
 | |
|     # Binary logical and, which does not short circuit.
 | |
|     def binary& 6 (LHS RHS)
 | |
|       if !LHS then
 | |
|         0
 | |
|       else
 | |
|         !!RHS;
 | |
| 
 | |
|     # Define = with slightly lower precedence than relationals.
 | |
|     def binary = 9 (LHS RHS)
 | |
|       !(LHS < RHS | LHS > RHS);
 | |
| 
 | |
| Given the previous if/then/else support, we can also define interesting
 | |
| functions for I/O. For example, the following prints out a character
 | |
| whose "density" reflects the value passed in: the lower the value, the
 | |
| denser the character:
 | |
| 
 | |
| ::
 | |
| 
 | |
|     ready>
 | |
| 
 | |
|     extern putchard(char)
 | |
|     def printdensity(d)
 | |
|       if d > 8 then
 | |
|         putchard(32)  # ' '
 | |
|       else if d > 4 then
 | |
|         putchard(46)  # '.'
 | |
|       else if d > 2 then
 | |
|         putchard(43)  # '+'
 | |
|       else
 | |
|         putchard(42); # '*'
 | |
|     ...
 | |
|     ready> printdensity(1): printdensity(2): printdensity(3) :
 | |
|               printdensity(4): printdensity(5): printdensity(9): putchard(10);
 | |
|     *++..
 | |
|     Evaluated to 0.000000
 | |
| 
 | |
| Based on these simple primitive operations, we can start to define more
 | |
| interesting things. For example, here's a little function that solves
 | |
| for the number of iterations it takes a function in the complex plane to
 | |
| converge:
 | |
| 
 | |
| ::
 | |
| 
 | |
|     # determine whether the specific location diverges.
 | |
|     # Solve for z = z^2 + c in the complex plane.
 | |
|     def mandelconverger(real imag iters creal cimag)
 | |
|       if iters > 255 | (real*real + imag*imag > 4) then
 | |
|         iters
 | |
|       else
 | |
|         mandelconverger(real*real - imag*imag + creal,
 | |
|                         2*real*imag + cimag,
 | |
|                         iters+1, creal, cimag);
 | |
| 
 | |
|     # return the number of iterations required for the iteration to escape
 | |
|     def mandelconverge(real imag)
 | |
|       mandelconverger(real, imag, 0, real, imag);
 | |
| 
 | |
| This "z = z\ :sup:`2`\  + c" function is a beautiful little creature
 | |
| that is the basis for computation of the `Mandelbrot
 | |
| Set <http://en.wikipedia.org/wiki/Mandelbrot_set>`_. Our
 | |
| ``mandelconverge`` function returns the number of iterations that it
 | |
| takes for a complex orbit to escape, saturating to 255. This is not a
 | |
| very useful function by itself, but if you plot its value over a
 | |
| two-dimensional plane, you can see the Mandelbrot set. Given that we are
 | |
| limited to using putchard here, our amazing graphical output is limited,
 | |
| but we can whip together something using the density plotter above:
 | |
| 
 | |
| ::
 | |
| 
 | |
|     # compute and plot the mandelbrot set with the specified 2 dimensional range
 | |
|     # info.
 | |
|     def mandelhelp(xmin xmax xstep   ymin ymax ystep)
 | |
|       for y = ymin, y < ymax, ystep in (
 | |
|         (for x = xmin, x < xmax, xstep in
 | |
|            printdensity(mandelconverge(x,y)))
 | |
|         : putchard(10)
 | |
|       )
 | |
| 
 | |
|     # mandel - This is a convenient helper function for plotting the mandelbrot set
 | |
|     # from the specified position with the specified Magnification.
 | |
|     def mandel(realstart imagstart realmag imagmag)
 | |
|       mandelhelp(realstart, realstart+realmag*78, realmag,
 | |
|                  imagstart, imagstart+imagmag*40, imagmag);
 | |
| 
 | |
| Given this, we can try plotting out the mandelbrot set! Lets try it out:
 | |
| 
 | |
| ::
 | |
| 
 | |
|     ready> mandel(-2.3, -1.3, 0.05, 0.07);
 | |
|     *******************************+++++++++++*************************************
 | |
|     *************************+++++++++++++++++++++++*******************************
 | |
|     **********************+++++++++++++++++++++++++++++****************************
 | |
|     *******************+++++++++++++++++++++.. ...++++++++*************************
 | |
|     *****************++++++++++++++++++++++.... ...+++++++++***********************
 | |
|     ***************+++++++++++++++++++++++.....   ...+++++++++*********************
 | |
|     **************+++++++++++++++++++++++....     ....+++++++++********************
 | |
|     *************++++++++++++++++++++++......      .....++++++++*******************
 | |
|     ************+++++++++++++++++++++.......       .......+++++++******************
 | |
|     ***********+++++++++++++++++++....                ... .+++++++*****************
 | |
|     **********+++++++++++++++++.......                     .+++++++****************
 | |
|     *********++++++++++++++...........                    ...+++++++***************
 | |
|     ********++++++++++++............                      ...++++++++**************
 | |
|     ********++++++++++... ..........                        .++++++++**************
 | |
|     *******+++++++++.....                                   .+++++++++*************
 | |
|     *******++++++++......                                  ..+++++++++*************
 | |
|     *******++++++.......                                   ..+++++++++*************
 | |
|     *******+++++......                                     ..+++++++++*************
 | |
|     *******.... ....                                      ...+++++++++*************
 | |
|     *******.... .                                         ...+++++++++*************
 | |
|     *******+++++......                                    ...+++++++++*************
 | |
|     *******++++++.......                                   ..+++++++++*************
 | |
|     *******++++++++......                                   .+++++++++*************
 | |
|     *******+++++++++.....                                  ..+++++++++*************
 | |
|     ********++++++++++... ..........                        .++++++++**************
 | |
|     ********++++++++++++............                      ...++++++++**************
 | |
|     *********++++++++++++++..........                     ...+++++++***************
 | |
|     **********++++++++++++++++........                     .+++++++****************
 | |
|     **********++++++++++++++++++++....                ... ..+++++++****************
 | |
|     ***********++++++++++++++++++++++.......       .......++++++++*****************
 | |
|     ************+++++++++++++++++++++++......      ......++++++++******************
 | |
|     **************+++++++++++++++++++++++....      ....++++++++********************
 | |
|     ***************+++++++++++++++++++++++.....   ...+++++++++*********************
 | |
|     *****************++++++++++++++++++++++....  ...++++++++***********************
 | |
|     *******************+++++++++++++++++++++......++++++++*************************
 | |
|     *********************++++++++++++++++++++++.++++++++***************************
 | |
|     *************************+++++++++++++++++++++++*******************************
 | |
|     ******************************+++++++++++++************************************
 | |
|     *******************************************************************************
 | |
|     *******************************************************************************
 | |
|     *******************************************************************************
 | |
|     Evaluated to 0.000000
 | |
|     ready> mandel(-2, -1, 0.02, 0.04);
 | |
|     **************************+++++++++++++++++++++++++++++++++++++++++++++++++++++
 | |
|     ***********************++++++++++++++++++++++++++++++++++++++++++++++++++++++++
 | |
|     *********************+++++++++++++++++++++++++++++++++++++++++++++++++++++++++.
 | |
|     *******************+++++++++++++++++++++++++++++++++++++++++++++++++++++++++...
 | |
|     *****************+++++++++++++++++++++++++++++++++++++++++++++++++++++++++.....
 | |
|     ***************++++++++++++++++++++++++++++++++++++++++++++++++++++++++........
 | |
|     **************++++++++++++++++++++++++++++++++++++++++++++++++++++++...........
 | |
|     ************+++++++++++++++++++++++++++++++++++++++++++++++++++++..............
 | |
|     ***********++++++++++++++++++++++++++++++++++++++++++++++++++........        .
 | |
|     **********++++++++++++++++++++++++++++++++++++++++++++++.............
 | |
|     ********+++++++++++++++++++++++++++++++++++++++++++..................
 | |
|     *******+++++++++++++++++++++++++++++++++++++++.......................
 | |
|     ******+++++++++++++++++++++++++++++++++++...........................
 | |
|     *****++++++++++++++++++++++++++++++++............................
 | |
|     *****++++++++++++++++++++++++++++...............................
 | |
|     ****++++++++++++++++++++++++++......   .........................
 | |
|     ***++++++++++++++++++++++++.........     ......    ...........
 | |
|     ***++++++++++++++++++++++............
 | |
|     **+++++++++++++++++++++..............
 | |
|     **+++++++++++++++++++................
 | |
|     *++++++++++++++++++.................
 | |
|     *++++++++++++++++............ ...
 | |
|     *++++++++++++++..............
 | |
|     *+++....++++................
 | |
|     *..........  ...........
 | |
|     *
 | |
|     *..........  ...........
 | |
|     *+++....++++................
 | |
|     *++++++++++++++..............
 | |
|     *++++++++++++++++............ ...
 | |
|     *++++++++++++++++++.................
 | |
|     **+++++++++++++++++++................
 | |
|     **+++++++++++++++++++++..............
 | |
|     ***++++++++++++++++++++++............
 | |
|     ***++++++++++++++++++++++++.........     ......    ...........
 | |
|     ****++++++++++++++++++++++++++......   .........................
 | |
|     *****++++++++++++++++++++++++++++...............................
 | |
|     *****++++++++++++++++++++++++++++++++............................
 | |
|     ******+++++++++++++++++++++++++++++++++++...........................
 | |
|     *******+++++++++++++++++++++++++++++++++++++++.......................
 | |
|     ********+++++++++++++++++++++++++++++++++++++++++++..................
 | |
|     Evaluated to 0.000000
 | |
|     ready> mandel(-0.9, -1.4, 0.02, 0.03);
 | |
|     *******************************************************************************
 | |
|     *******************************************************************************
 | |
|     *******************************************************************************
 | |
|     **********+++++++++++++++++++++************************************************
 | |
|     *+++++++++++++++++++++++++++++++++++++++***************************************
 | |
|     +++++++++++++++++++++++++++++++++++++++++++++**********************************
 | |
|     ++++++++++++++++++++++++++++++++++++++++++++++++++*****************************
 | |
|     ++++++++++++++++++++++++++++++++++++++++++++++++++++++*************************
 | |
|     +++++++++++++++++++++++++++++++++++++++++++++++++++++++++**********************
 | |
|     +++++++++++++++++++++++++++++++++.........++++++++++++++++++*******************
 | |
|     +++++++++++++++++++++++++++++++....   ......+++++++++++++++++++****************
 | |
|     +++++++++++++++++++++++++++++.......  ........+++++++++++++++++++**************
 | |
|     ++++++++++++++++++++++++++++........   ........++++++++++++++++++++************
 | |
|     +++++++++++++++++++++++++++.........     ..  ...+++++++++++++++++++++**********
 | |
|     ++++++++++++++++++++++++++...........        ....++++++++++++++++++++++********
 | |
|     ++++++++++++++++++++++++.............       .......++++++++++++++++++++++******
 | |
|     +++++++++++++++++++++++.............        ........+++++++++++++++++++++++****
 | |
|     ++++++++++++++++++++++...........           ..........++++++++++++++++++++++***
 | |
|     ++++++++++++++++++++...........                .........++++++++++++++++++++++*
 | |
|     ++++++++++++++++++............                  ...........++++++++++++++++++++
 | |
|     ++++++++++++++++...............                 .............++++++++++++++++++
 | |
|     ++++++++++++++.................                 ...............++++++++++++++++
 | |
|     ++++++++++++..................                  .................++++++++++++++
 | |
|     +++++++++..................                      .................+++++++++++++
 | |
|     ++++++........        .                               .........  ..++++++++++++
 | |
|     ++............                                         ......    ....++++++++++
 | |
|     ..............                                                    ...++++++++++
 | |
|     ..............                                                    ....+++++++++
 | |
|     ..............                                                    .....++++++++
 | |
|     .............                                                    ......++++++++
 | |
|     ...........                                                     .......++++++++
 | |
|     .........                                                       ........+++++++
 | |
|     .........                                                       ........+++++++
 | |
|     .........                                                           ....+++++++
 | |
|     ........                                                             ...+++++++
 | |
|     .......                                                              ...+++++++
 | |
|                                                                         ....+++++++
 | |
|                                                                        .....+++++++
 | |
|                                                                         ....+++++++
 | |
|                                                                         ....+++++++
 | |
|                                                                         ....+++++++
 | |
|     Evaluated to 0.000000
 | |
|     ready> ^D
 | |
| 
 | |
| At this point, you may be starting to realize that Kaleidoscope is a
 | |
| real and powerful language. It may not be self-similar :), but it can be
 | |
| used to plot things that are!
 | |
| 
 | |
| With this, we conclude the "adding user-defined operators" chapter of
 | |
| the tutorial. We have successfully augmented our language, adding the
 | |
| ability to extend the language in the library, and we have shown how
 | |
| this can be used to build a simple but interesting end-user application
 | |
| in Kaleidoscope. At this point, Kaleidoscope can build a variety of
 | |
| applications that are functional and can call functions with
 | |
| side-effects, but it can't actually define and mutate a variable itself.
 | |
| 
 | |
| Strikingly, variable mutation is an important feature of some languages,
 | |
| and it is not at all obvious how to `add support for mutable
 | |
| variables <OCamlLangImpl7.html>`_ without having to add an "SSA
 | |
| construction" phase to your front-end. In the next chapter, we will
 | |
| describe how you can add variable mutation without building SSA in your
 | |
| front-end.
 | |
| 
 | |
| Full Code Listing
 | |
| =================
 | |
| 
 | |
| Here is the complete code listing for our running example, enhanced with
 | |
| the if/then/else and for expressions.. To build this example, use:
 | |
| 
 | |
| .. code-block:: bash
 | |
| 
 | |
|     # Compile
 | |
|     ocamlbuild toy.byte
 | |
|     # Run
 | |
|     ./toy.byte
 | |
| 
 | |
| Here is the code:
 | |
| 
 | |
| \_tags:
 | |
|     ::
 | |
| 
 | |
|         <{lexer,parser}.ml>: use_camlp4, pp(camlp4of)
 | |
|         <*.{byte,native}>: g++, use_llvm, use_llvm_analysis
 | |
|         <*.{byte,native}>: use_llvm_executionengine, use_llvm_target
 | |
|         <*.{byte,native}>: use_llvm_scalar_opts, use_bindings
 | |
| 
 | |
| myocamlbuild.ml:
 | |
|     .. code-block:: ocaml
 | |
| 
 | |
|         open Ocamlbuild_plugin;;
 | |
| 
 | |
|         ocaml_lib ~extern:true "llvm";;
 | |
|         ocaml_lib ~extern:true "llvm_analysis";;
 | |
|         ocaml_lib ~extern:true "llvm_executionengine";;
 | |
|         ocaml_lib ~extern:true "llvm_target";;
 | |
|         ocaml_lib ~extern:true "llvm_scalar_opts";;
 | |
| 
 | |
|         flag ["link"; "ocaml"; "g++"] (S[A"-cc"; A"g++"; A"-cclib"; A"-rdynamic"]);;
 | |
|         dep ["link"; "ocaml"; "use_bindings"] ["bindings.o"];;
 | |
| 
 | |
| token.ml:
 | |
|     .. code-block:: ocaml
 | |
| 
 | |
|         (*===----------------------------------------------------------------------===
 | |
|          * Lexer Tokens
 | |
|          *===----------------------------------------------------------------------===*)
 | |
| 
 | |
|         (* The lexer returns these 'Kwd' if it is an unknown character, otherwise one of
 | |
|          * these others for known things. *)
 | |
|         type token =
 | |
|           (* commands *)
 | |
|           | Def | Extern
 | |
| 
 | |
|           (* primary *)
 | |
|           | Ident of string | Number of float
 | |
| 
 | |
|           (* unknown *)
 | |
|           | Kwd of char
 | |
| 
 | |
|           (* control *)
 | |
|           | If | Then | Else
 | |
|           | For | In
 | |
| 
 | |
|           (* operators *)
 | |
|           | Binary | Unary
 | |
| 
 | |
| lexer.ml:
 | |
|     .. code-block:: ocaml
 | |
| 
 | |
|         (*===----------------------------------------------------------------------===
 | |
|          * Lexer
 | |
|          *===----------------------------------------------------------------------===*)
 | |
| 
 | |
|         let rec lex = parser
 | |
|           (* Skip any whitespace. *)
 | |
|           | [< ' (' ' | '\n' | '\r' | '\t'); stream >] -> lex stream
 | |
| 
 | |
|           (* identifier: [a-zA-Z][a-zA-Z0-9] *)
 | |
|           | [< ' ('A' .. 'Z' | 'a' .. 'z' as c); stream >] ->
 | |
|               let buffer = Buffer.create 1 in
 | |
|               Buffer.add_char buffer c;
 | |
|               lex_ident buffer stream
 | |
| 
 | |
|           (* number: [0-9.]+ *)
 | |
|           | [< ' ('0' .. '9' as c); stream >] ->
 | |
|               let buffer = Buffer.create 1 in
 | |
|               Buffer.add_char buffer c;
 | |
|               lex_number buffer stream
 | |
| 
 | |
|           (* Comment until end of line. *)
 | |
|           | [< ' ('#'); stream >] ->
 | |
|               lex_comment stream
 | |
| 
 | |
|           (* Otherwise, just return the character as its ascii value. *)
 | |
|           | [< 'c; stream >] ->
 | |
|               [< 'Token.Kwd c; lex stream >]
 | |
| 
 | |
|           (* end of stream. *)
 | |
|           | [< >] -> [< >]
 | |
| 
 | |
|         and lex_number buffer = parser
 | |
|           | [< ' ('0' .. '9' | '.' as c); stream >] ->
 | |
|               Buffer.add_char buffer c;
 | |
|               lex_number buffer stream
 | |
|           | [< stream=lex >] ->
 | |
|               [< 'Token.Number (float_of_string (Buffer.contents buffer)); stream >]
 | |
| 
 | |
|         and lex_ident buffer = parser
 | |
|           | [< ' ('A' .. 'Z' | 'a' .. 'z' | '0' .. '9' as c); stream >] ->
 | |
|               Buffer.add_char buffer c;
 | |
|               lex_ident buffer stream
 | |
|           | [< stream=lex >] ->
 | |
|               match Buffer.contents buffer with
 | |
|               | "def" -> [< 'Token.Def; stream >]
 | |
|               | "extern" -> [< 'Token.Extern; stream >]
 | |
|               | "if" -> [< 'Token.If; stream >]
 | |
|               | "then" -> [< 'Token.Then; stream >]
 | |
|               | "else" -> [< 'Token.Else; stream >]
 | |
|               | "for" -> [< 'Token.For; stream >]
 | |
|               | "in" -> [< 'Token.In; stream >]
 | |
|               | "binary" -> [< 'Token.Binary; stream >]
 | |
|               | "unary" -> [< 'Token.Unary; stream >]
 | |
|               | id -> [< 'Token.Ident id; stream >]
 | |
| 
 | |
|         and lex_comment = parser
 | |
|           | [< ' ('\n'); stream=lex >] -> stream
 | |
|           | [< 'c; e=lex_comment >] -> e
 | |
|           | [< >] -> [< >]
 | |
| 
 | |
| ast.ml:
 | |
|     .. code-block:: ocaml
 | |
| 
 | |
|         (*===----------------------------------------------------------------------===
 | |
|          * Abstract Syntax Tree (aka Parse Tree)
 | |
|          *===----------------------------------------------------------------------===*)
 | |
| 
 | |
|         (* expr - Base type for all expression nodes. *)
 | |
|         type expr =
 | |
|           (* variant for numeric literals like "1.0". *)
 | |
|           | Number of float
 | |
| 
 | |
|           (* variant for referencing a variable, like "a". *)
 | |
|           | Variable of string
 | |
| 
 | |
|           (* variant for a unary operator. *)
 | |
|           | Unary of char * expr
 | |
| 
 | |
|           (* variant for a binary operator. *)
 | |
|           | Binary of char * expr * expr
 | |
| 
 | |
|           (* variant for function calls. *)
 | |
|           | Call of string * expr array
 | |
| 
 | |
|           (* variant for if/then/else. *)
 | |
|           | If of expr * expr * expr
 | |
| 
 | |
|           (* variant for for/in. *)
 | |
|           | For of string * expr * expr * expr option * expr
 | |
| 
 | |
|         (* proto - This type represents the "prototype" for a function, which captures
 | |
|          * its name, and its argument names (thus implicitly the number of arguments the
 | |
|          * function takes). *)
 | |
|         type proto =
 | |
|           | Prototype of string * string array
 | |
|           | BinOpPrototype of string * string array * int
 | |
| 
 | |
|         (* func - This type represents a function definition itself. *)
 | |
|         type func = Function of proto * expr
 | |
| 
 | |
| parser.ml:
 | |
|     .. code-block:: ocaml
 | |
| 
 | |
|         (*===---------------------------------------------------------------------===
 | |
|          * Parser
 | |
|          *===---------------------------------------------------------------------===*)
 | |
| 
 | |
|         (* binop_precedence - This holds the precedence for each binary operator that is
 | |
|          * defined *)
 | |
|         let binop_precedence:(char, int) Hashtbl.t = Hashtbl.create 10
 | |
| 
 | |
|         (* precedence - Get the precedence of the pending binary operator token. *)
 | |
|         let precedence c = try Hashtbl.find binop_precedence c with Not_found -> -1
 | |
| 
 | |
|         (* primary
 | |
|          *   ::= identifier
 | |
|          *   ::= numberexpr
 | |
|          *   ::= parenexpr
 | |
|          *   ::= ifexpr
 | |
|          *   ::= forexpr *)
 | |
|         let rec parse_primary = parser
 | |
|           (* numberexpr ::= number *)
 | |
|           | [< 'Token.Number n >] -> Ast.Number n
 | |
| 
 | |
|           (* parenexpr ::= '(' expression ')' *)
 | |
|           | [< 'Token.Kwd '('; e=parse_expr; 'Token.Kwd ')' ?? "expected ')'" >] -> e
 | |
| 
 | |
|           (* identifierexpr
 | |
|            *   ::= identifier
 | |
|            *   ::= identifier '(' argumentexpr ')' *)
 | |
|           | [< 'Token.Ident id; stream >] ->
 | |
|               let rec parse_args accumulator = parser
 | |
|                 | [< e=parse_expr; stream >] ->
 | |
|                     begin parser
 | |
|                       | [< 'Token.Kwd ','; e=parse_args (e :: accumulator) >] -> e
 | |
|                       | [< >] -> e :: accumulator
 | |
|                     end stream
 | |
|                 | [< >] -> accumulator
 | |
|               in
 | |
|               let rec parse_ident id = parser
 | |
|                 (* Call. *)
 | |
|                 | [< 'Token.Kwd '(';
 | |
|                      args=parse_args [];
 | |
|                      'Token.Kwd ')' ?? "expected ')'">] ->
 | |
|                     Ast.Call (id, Array.of_list (List.rev args))
 | |
| 
 | |
|                 (* Simple variable ref. *)
 | |
|                 | [< >] -> Ast.Variable id
 | |
|               in
 | |
|               parse_ident id stream
 | |
| 
 | |
|           (* ifexpr ::= 'if' expr 'then' expr 'else' expr *)
 | |
|           | [< 'Token.If; c=parse_expr;
 | |
|                'Token.Then ?? "expected 'then'"; t=parse_expr;
 | |
|                'Token.Else ?? "expected 'else'"; e=parse_expr >] ->
 | |
|               Ast.If (c, t, e)
 | |
| 
 | |
|           (* forexpr
 | |
|                 ::= 'for' identifier '=' expr ',' expr (',' expr)? 'in' expression *)
 | |
|           | [< 'Token.For;
 | |
|                'Token.Ident id ?? "expected identifier after for";
 | |
|                'Token.Kwd '=' ?? "expected '=' after for";
 | |
|                stream >] ->
 | |
|               begin parser
 | |
|                 | [<
 | |
|                      start=parse_expr;
 | |
|                      'Token.Kwd ',' ?? "expected ',' after for";
 | |
|                      end_=parse_expr;
 | |
|                      stream >] ->
 | |
|                     let step =
 | |
|                       begin parser
 | |
|                       | [< 'Token.Kwd ','; step=parse_expr >] -> Some step
 | |
|                       | [< >] -> None
 | |
|                       end stream
 | |
|                     in
 | |
|                     begin parser
 | |
|                     | [< 'Token.In; body=parse_expr >] ->
 | |
|                         Ast.For (id, start, end_, step, body)
 | |
|                     | [< >] ->
 | |
|                         raise (Stream.Error "expected 'in' after for")
 | |
|                     end stream
 | |
|                 | [< >] ->
 | |
|                     raise (Stream.Error "expected '=' after for")
 | |
|               end stream
 | |
| 
 | |
|           | [< >] -> raise (Stream.Error "unknown token when expecting an expression.")
 | |
| 
 | |
|         (* unary
 | |
|          *   ::= primary
 | |
|          *   ::= '!' unary *)
 | |
|         and parse_unary = parser
 | |
|           (* If this is a unary operator, read it. *)
 | |
|           | [< 'Token.Kwd op when op != '(' && op != ')'; operand=parse_expr >] ->
 | |
|               Ast.Unary (op, operand)
 | |
| 
 | |
|           (* If the current token is not an operator, it must be a primary expr. *)
 | |
|           | [< stream >] -> parse_primary stream
 | |
| 
 | |
|         (* binoprhs
 | |
|          *   ::= ('+' primary)* *)
 | |
|         and parse_bin_rhs expr_prec lhs stream =
 | |
|           match Stream.peek stream with
 | |
|           (* If this is a binop, find its precedence. *)
 | |
|           | Some (Token.Kwd c) when Hashtbl.mem binop_precedence c ->
 | |
|               let token_prec = precedence c in
 | |
| 
 | |
|               (* If this is a binop that binds at least as tightly as the current binop,
 | |
|                * consume it, otherwise we are done. *)
 | |
|               if token_prec < expr_prec then lhs else begin
 | |
|                 (* Eat the binop. *)
 | |
|                 Stream.junk stream;
 | |
| 
 | |
|                 (* Parse the unary expression after the binary operator. *)
 | |
|                 let rhs = parse_unary stream in
 | |
| 
 | |
|                 (* Okay, we know this is a binop. *)
 | |
|                 let rhs =
 | |
|                   match Stream.peek stream with
 | |
|                   | Some (Token.Kwd c2) ->
 | |
|                       (* If BinOp binds less tightly with rhs than the operator after
 | |
|                        * rhs, let the pending operator take rhs as its lhs. *)
 | |
|                       let next_prec = precedence c2 in
 | |
|                       if token_prec < next_prec
 | |
|                       then parse_bin_rhs (token_prec + 1) rhs stream
 | |
|                       else rhs
 | |
|                   | _ -> rhs
 | |
|                 in
 | |
| 
 | |
|                 (* Merge lhs/rhs. *)
 | |
|                 let lhs = Ast.Binary (c, lhs, rhs) in
 | |
|                 parse_bin_rhs expr_prec lhs stream
 | |
|               end
 | |
|           | _ -> lhs
 | |
| 
 | |
|         (* expression
 | |
|          *   ::= primary binoprhs *)
 | |
|         and parse_expr = parser
 | |
|           | [< lhs=parse_unary; stream >] -> parse_bin_rhs 0 lhs stream
 | |
| 
 | |
|         (* prototype
 | |
|          *   ::= id '(' id* ')'
 | |
|          *   ::= binary LETTER number? (id, id)
 | |
|          *   ::= unary LETTER number? (id) *)
 | |
|         let parse_prototype =
 | |
|           let rec parse_args accumulator = parser
 | |
|             | [< 'Token.Ident id; e=parse_args (id::accumulator) >] -> e
 | |
|             | [< >] -> accumulator
 | |
|           in
 | |
|           let parse_operator = parser
 | |
|             | [< 'Token.Unary >] -> "unary", 1
 | |
|             | [< 'Token.Binary >] -> "binary", 2
 | |
|           in
 | |
|           let parse_binary_precedence = parser
 | |
|             | [< 'Token.Number n >] -> int_of_float n
 | |
|             | [< >] -> 30
 | |
|           in
 | |
|           parser
 | |
|           | [< 'Token.Ident id;
 | |
|                'Token.Kwd '(' ?? "expected '(' in prototype";
 | |
|                args=parse_args [];
 | |
|                'Token.Kwd ')' ?? "expected ')' in prototype" >] ->
 | |
|               (* success. *)
 | |
|               Ast.Prototype (id, Array.of_list (List.rev args))
 | |
|           | [< (prefix, kind)=parse_operator;
 | |
|                'Token.Kwd op ?? "expected an operator";
 | |
|                (* Read the precedence if present. *)
 | |
|                binary_precedence=parse_binary_precedence;
 | |
|                'Token.Kwd '(' ?? "expected '(' in prototype";
 | |
|                 args=parse_args [];
 | |
|                'Token.Kwd ')' ?? "expected ')' in prototype" >] ->
 | |
|               let name = prefix ^ (String.make 1 op) in
 | |
|               let args = Array.of_list (List.rev args) in
 | |
| 
 | |
|               (* Verify right number of arguments for operator. *)
 | |
|               if Array.length args != kind
 | |
|               then raise (Stream.Error "invalid number of operands for operator")
 | |
|               else
 | |
|                 if kind == 1 then
 | |
|                   Ast.Prototype (name, args)
 | |
|                 else
 | |
|                   Ast.BinOpPrototype (name, args, binary_precedence)
 | |
|           | [< >] ->
 | |
|               raise (Stream.Error "expected function name in prototype")
 | |
| 
 | |
|         (* definition ::= 'def' prototype expression *)
 | |
|         let parse_definition = parser
 | |
|           | [< 'Token.Def; p=parse_prototype; e=parse_expr >] ->
 | |
|               Ast.Function (p, e)
 | |
| 
 | |
|         (* toplevelexpr ::= expression *)
 | |
|         let parse_toplevel = parser
 | |
|           | [< e=parse_expr >] ->
 | |
|               (* Make an anonymous proto. *)
 | |
|               Ast.Function (Ast.Prototype ("", [||]), e)
 | |
| 
 | |
|         (*  external ::= 'extern' prototype *)
 | |
|         let parse_extern = parser
 | |
|           | [< 'Token.Extern; e=parse_prototype >] -> e
 | |
| 
 | |
| codegen.ml:
 | |
|     .. code-block:: ocaml
 | |
| 
 | |
|         (*===----------------------------------------------------------------------===
 | |
|          * Code Generation
 | |
|          *===----------------------------------------------------------------------===*)
 | |
| 
 | |
|         open Llvm
 | |
| 
 | |
|         exception Error of string
 | |
| 
 | |
|         let context = global_context ()
 | |
|         let the_module = create_module context "my cool jit"
 | |
|         let builder = builder context
 | |
|         let named_values:(string, llvalue) Hashtbl.t = Hashtbl.create 10
 | |
|         let double_type = double_type context
 | |
| 
 | |
|         let rec codegen_expr = function
 | |
|           | Ast.Number n -> const_float double_type n
 | |
|           | Ast.Variable name ->
 | |
|               (try Hashtbl.find named_values name with
 | |
|                 | Not_found -> raise (Error "unknown variable name"))
 | |
|           | Ast.Unary (op, operand) ->
 | |
|               let operand = codegen_expr operand in
 | |
|               let callee = "unary" ^ (String.make 1 op) in
 | |
|               let callee =
 | |
|                 match lookup_function callee the_module with
 | |
|                 | Some callee -> callee
 | |
|                 | None -> raise (Error "unknown unary operator")
 | |
|               in
 | |
|               build_call callee [|operand|] "unop" builder
 | |
|           | Ast.Binary (op, lhs, rhs) ->
 | |
|               let lhs_val = codegen_expr lhs in
 | |
|               let rhs_val = codegen_expr rhs in
 | |
|               begin
 | |
|                 match op with
 | |
|                 | '+' -> build_add lhs_val rhs_val "addtmp" builder
 | |
|                 | '-' -> build_sub lhs_val rhs_val "subtmp" builder
 | |
|                 | '*' -> build_mul lhs_val rhs_val "multmp" builder
 | |
|                 | '<' ->
 | |
|                     (* Convert bool 0/1 to double 0.0 or 1.0 *)
 | |
|                     let i = build_fcmp Fcmp.Ult lhs_val rhs_val "cmptmp" builder in
 | |
|                     build_uitofp i double_type "booltmp" builder
 | |
|                 | _ ->
 | |
|                     (* If it wasn't a builtin binary operator, it must be a user defined
 | |
|                      * one. Emit a call to it. *)
 | |
|                     let callee = "binary" ^ (String.make 1 op) in
 | |
|                     let callee =
 | |
|                       match lookup_function callee the_module with
 | |
|                       | Some callee -> callee
 | |
|                       | None -> raise (Error "binary operator not found!")
 | |
|                     in
 | |
|                     build_call callee [|lhs_val; rhs_val|] "binop" builder
 | |
|               end
 | |
|           | Ast.Call (callee, args) ->
 | |
|               (* Look up the name in the module table. *)
 | |
|               let callee =
 | |
|                 match lookup_function callee the_module with
 | |
|                 | Some callee -> callee
 | |
|                 | None -> raise (Error "unknown function referenced")
 | |
|               in
 | |
|               let params = params callee in
 | |
| 
 | |
|               (* If argument mismatch error. *)
 | |
|               if Array.length params == Array.length args then () else
 | |
|                 raise (Error "incorrect # arguments passed");
 | |
|               let args = Array.map codegen_expr args in
 | |
|               build_call callee args "calltmp" builder
 | |
|           | Ast.If (cond, then_, else_) ->
 | |
|               let cond = codegen_expr cond in
 | |
| 
 | |
|               (* Convert condition to a bool by comparing equal to 0.0 *)
 | |
|               let zero = const_float double_type 0.0 in
 | |
|               let cond_val = build_fcmp Fcmp.One cond zero "ifcond" builder in
 | |
| 
 | |
|               (* Grab the first block so that we might later add the conditional branch
 | |
|                * to it at the end of the function. *)
 | |
|               let start_bb = insertion_block builder in
 | |
|               let the_function = block_parent start_bb in
 | |
| 
 | |
|               let then_bb = append_block context "then" the_function in
 | |
| 
 | |
|               (* Emit 'then' value. *)
 | |
|               position_at_end then_bb builder;
 | |
|               let then_val = codegen_expr then_ in
 | |
| 
 | |
|               (* Codegen of 'then' can change the current block, update then_bb for the
 | |
|                * phi. We create a new name because one is used for the phi node, and the
 | |
|                * other is used for the conditional branch. *)
 | |
|               let new_then_bb = insertion_block builder in
 | |
| 
 | |
|               (* Emit 'else' value. *)
 | |
|               let else_bb = append_block context "else" the_function in
 | |
|               position_at_end else_bb builder;
 | |
|               let else_val = codegen_expr else_ in
 | |
| 
 | |
|               (* Codegen of 'else' can change the current block, update else_bb for the
 | |
|                * phi. *)
 | |
|               let new_else_bb = insertion_block builder in
 | |
| 
 | |
|               (* Emit merge block. *)
 | |
|               let merge_bb = append_block context "ifcont" the_function in
 | |
|               position_at_end merge_bb builder;
 | |
|               let incoming = [(then_val, new_then_bb); (else_val, new_else_bb)] in
 | |
|               let phi = build_phi incoming "iftmp" builder in
 | |
| 
 | |
|               (* Return to the start block to add the conditional branch. *)
 | |
|               position_at_end start_bb builder;
 | |
|               ignore (build_cond_br cond_val then_bb else_bb builder);
 | |
| 
 | |
|               (* Set a unconditional branch at the end of the 'then' block and the
 | |
|                * 'else' block to the 'merge' block. *)
 | |
|               position_at_end new_then_bb builder; ignore (build_br merge_bb builder);
 | |
|               position_at_end new_else_bb builder; ignore (build_br merge_bb builder);
 | |
| 
 | |
|               (* Finally, set the builder to the end of the merge block. *)
 | |
|               position_at_end merge_bb builder;
 | |
| 
 | |
|               phi
 | |
|           | Ast.For (var_name, start, end_, step, body) ->
 | |
|               (* Emit the start code first, without 'variable' in scope. *)
 | |
|               let start_val = codegen_expr start in
 | |
| 
 | |
|               (* Make the new basic block for the loop header, inserting after current
 | |
|                * block. *)
 | |
|               let preheader_bb = insertion_block builder in
 | |
|               let the_function = block_parent preheader_bb in
 | |
|               let loop_bb = append_block context "loop" the_function in
 | |
| 
 | |
|               (* Insert an explicit fall through from the current block to the
 | |
|                * loop_bb. *)
 | |
|               ignore (build_br loop_bb builder);
 | |
| 
 | |
|               (* Start insertion in loop_bb. *)
 | |
|               position_at_end loop_bb builder;
 | |
| 
 | |
|               (* Start the PHI node with an entry for start. *)
 | |
|               let variable = build_phi [(start_val, preheader_bb)] var_name builder in
 | |
| 
 | |
|               (* Within the loop, the variable is defined equal to the PHI node. If it
 | |
|                * shadows an existing variable, we have to restore it, so save it
 | |
|                * now. *)
 | |
|               let old_val =
 | |
|                 try Some (Hashtbl.find named_values var_name) with Not_found -> None
 | |
|               in
 | |
|               Hashtbl.add named_values var_name variable;
 | |
| 
 | |
|               (* Emit the body of the loop.  This, like any other expr, can change the
 | |
|                * current BB.  Note that we ignore the value computed by the body, but
 | |
|                * don't allow an error *)
 | |
|               ignore (codegen_expr body);
 | |
| 
 | |
|               (* Emit the step value. *)
 | |
|               let step_val =
 | |
|                 match step with
 | |
|                 | Some step -> codegen_expr step
 | |
|                 (* If not specified, use 1.0. *)
 | |
|                 | None -> const_float double_type 1.0
 | |
|               in
 | |
| 
 | |
|               let next_var = build_add variable step_val "nextvar" builder in
 | |
| 
 | |
|               (* Compute the end condition. *)
 | |
|               let end_cond = codegen_expr end_ in
 | |
| 
 | |
|               (* Convert condition to a bool by comparing equal to 0.0. *)
 | |
|               let zero = const_float double_type 0.0 in
 | |
|               let end_cond = build_fcmp Fcmp.One end_cond zero "loopcond" builder in
 | |
| 
 | |
|               (* Create the "after loop" block and insert it. *)
 | |
|               let loop_end_bb = insertion_block builder in
 | |
|               let after_bb = append_block context "afterloop" the_function in
 | |
| 
 | |
|               (* Insert the conditional branch into the end of loop_end_bb. *)
 | |
|               ignore (build_cond_br end_cond loop_bb after_bb builder);
 | |
| 
 | |
|               (* Any new code will be inserted in after_bb. *)
 | |
|               position_at_end after_bb builder;
 | |
| 
 | |
|               (* Add a new entry to the PHI node for the backedge. *)
 | |
|               add_incoming (next_var, loop_end_bb) variable;
 | |
| 
 | |
|               (* Restore the unshadowed variable. *)
 | |
|               begin match old_val with
 | |
|               | Some old_val -> Hashtbl.add named_values var_name old_val
 | |
|               | None -> ()
 | |
|               end;
 | |
| 
 | |
|               (* for expr always returns 0.0. *)
 | |
|               const_null double_type
 | |
| 
 | |
|         let codegen_proto = function
 | |
|           | Ast.Prototype (name, args) | Ast.BinOpPrototype (name, args, _) ->
 | |
|               (* Make the function type: double(double,double) etc. *)
 | |
|               let doubles = Array.make (Array.length args) double_type in
 | |
|               let ft = function_type double_type doubles in
 | |
|               let f =
 | |
|                 match lookup_function name the_module with
 | |
|                 | None -> declare_function name ft the_module
 | |
| 
 | |
|                 (* If 'f' conflicted, there was already something named 'name'. If it
 | |
|                  * has a body, don't allow redefinition or reextern. *)
 | |
|                 | Some f ->
 | |
|                     (* If 'f' already has a body, reject this. *)
 | |
|                     if block_begin f <> At_end f then
 | |
|                       raise (Error "redefinition of function");
 | |
| 
 | |
|                     (* If 'f' took a different number of arguments, reject. *)
 | |
|                     if element_type (type_of f) <> ft then
 | |
|                       raise (Error "redefinition of function with different # args");
 | |
|                     f
 | |
|               in
 | |
| 
 | |
|               (* Set names for all arguments. *)
 | |
|               Array.iteri (fun i a ->
 | |
|                 let n = args.(i) in
 | |
|                 set_value_name n a;
 | |
|                 Hashtbl.add named_values n a;
 | |
|               ) (params f);
 | |
|               f
 | |
| 
 | |
|         let codegen_func the_fpm = function
 | |
|           | Ast.Function (proto, body) ->
 | |
|               Hashtbl.clear named_values;
 | |
|               let the_function = codegen_proto proto in
 | |
| 
 | |
|               (* If this is an operator, install it. *)
 | |
|               begin match proto with
 | |
|               | Ast.BinOpPrototype (name, args, prec) ->
 | |
|                   let op = name.[String.length name - 1] in
 | |
|                   Hashtbl.add Parser.binop_precedence op prec;
 | |
|               | _ -> ()
 | |
|               end;
 | |
| 
 | |
|               (* Create a new basic block to start insertion into. *)
 | |
|               let bb = append_block context "entry" the_function in
 | |
|               position_at_end bb builder;
 | |
| 
 | |
|               try
 | |
|                 let ret_val = codegen_expr body in
 | |
| 
 | |
|                 (* Finish off the function. *)
 | |
|                 let _ = build_ret ret_val builder in
 | |
| 
 | |
|                 (* Validate the generated code, checking for consistency. *)
 | |
|                 Llvm_analysis.assert_valid_function the_function;
 | |
| 
 | |
|                 (* Optimize the function. *)
 | |
|                 let _ = PassManager.run_function the_function the_fpm in
 | |
| 
 | |
|                 the_function
 | |
|               with e ->
 | |
|                 delete_function the_function;
 | |
|                 raise e
 | |
| 
 | |
| toplevel.ml:
 | |
|     .. code-block:: ocaml
 | |
| 
 | |
|         (*===----------------------------------------------------------------------===
 | |
|          * Top-Level parsing and JIT Driver
 | |
|          *===----------------------------------------------------------------------===*)
 | |
| 
 | |
|         open Llvm
 | |
|         open Llvm_executionengine
 | |
| 
 | |
|         (* top ::= definition | external | expression | ';' *)
 | |
|         let rec main_loop the_fpm the_execution_engine stream =
 | |
|           match Stream.peek stream with
 | |
|           | None -> ()
 | |
| 
 | |
|           (* ignore top-level semicolons. *)
 | |
|           | Some (Token.Kwd ';') ->
 | |
|               Stream.junk stream;
 | |
|               main_loop the_fpm the_execution_engine stream
 | |
| 
 | |
|           | Some token ->
 | |
|               begin
 | |
|                 try match token with
 | |
|                 | Token.Def ->
 | |
|                     let e = Parser.parse_definition stream in
 | |
|                     print_endline "parsed a function definition.";
 | |
|                     dump_value (Codegen.codegen_func the_fpm e);
 | |
|                 | Token.Extern ->
 | |
|                     let e = Parser.parse_extern stream in
 | |
|                     print_endline "parsed an extern.";
 | |
|                     dump_value (Codegen.codegen_proto e);
 | |
|                 | _ ->
 | |
|                     (* Evaluate a top-level expression into an anonymous function. *)
 | |
|                     let e = Parser.parse_toplevel stream in
 | |
|                     print_endline "parsed a top-level expr";
 | |
|                     let the_function = Codegen.codegen_func the_fpm e in
 | |
|                     dump_value the_function;
 | |
| 
 | |
|                     (* JIT the function, returning a function pointer. *)
 | |
|                     let result = ExecutionEngine.run_function the_function [||]
 | |
|                       the_execution_engine in
 | |
| 
 | |
|                     print_string "Evaluated to ";
 | |
|                     print_float (GenericValue.as_float Codegen.double_type result);
 | |
|                     print_newline ();
 | |
|                 with Stream.Error s | Codegen.Error s ->
 | |
|                   (* Skip token for error recovery. *)
 | |
|                   Stream.junk stream;
 | |
|                   print_endline s;
 | |
|               end;
 | |
|               print_string "ready> "; flush stdout;
 | |
|               main_loop the_fpm the_execution_engine stream
 | |
| 
 | |
| toy.ml:
 | |
|     .. code-block:: ocaml
 | |
| 
 | |
|         (*===----------------------------------------------------------------------===
 | |
|          * Main driver code.
 | |
|          *===----------------------------------------------------------------------===*)
 | |
| 
 | |
|         open Llvm
 | |
|         open Llvm_executionengine
 | |
|         open Llvm_target
 | |
|         open Llvm_scalar_opts
 | |
| 
 | |
|         let main () =
 | |
|           ignore (initialize_native_target ());
 | |
| 
 | |
|           (* Install standard binary operators.
 | |
|            * 1 is the lowest precedence. *)
 | |
|           Hashtbl.add Parser.binop_precedence '<' 10;
 | |
|           Hashtbl.add Parser.binop_precedence '+' 20;
 | |
|           Hashtbl.add Parser.binop_precedence '-' 20;
 | |
|           Hashtbl.add Parser.binop_precedence '*' 40;    (* highest. *)
 | |
| 
 | |
|           (* Prime the first token. *)
 | |
|           print_string "ready> "; flush stdout;
 | |
|           let stream = Lexer.lex (Stream.of_channel stdin) in
 | |
| 
 | |
|           (* Create the JIT. *)
 | |
|           let the_execution_engine = ExecutionEngine.create Codegen.the_module in
 | |
|           let the_fpm = PassManager.create_function Codegen.the_module in
 | |
| 
 | |
|           (* Set up the optimizer pipeline.  Start with registering info about how the
 | |
|            * target lays out data structures. *)
 | |
|           DataLayout.add (ExecutionEngine.target_data the_execution_engine) the_fpm;
 | |
| 
 | |
|           (* Do simple "peephole" optimizations and bit-twiddling optzn. *)
 | |
|           add_instruction_combination the_fpm;
 | |
| 
 | |
|           (* reassociate expressions. *)
 | |
|           add_reassociation the_fpm;
 | |
| 
 | |
|           (* Eliminate Common SubExpressions. *)
 | |
|           add_gvn the_fpm;
 | |
| 
 | |
|           (* Simplify the control flow graph (deleting unreachable blocks, etc). *)
 | |
|           add_cfg_simplification the_fpm;
 | |
| 
 | |
|           ignore (PassManager.initialize the_fpm);
 | |
| 
 | |
|           (* Run the main "interpreter loop" now. *)
 | |
|           Toplevel.main_loop the_fpm the_execution_engine stream;
 | |
| 
 | |
|           (* Print out all the generated code. *)
 | |
|           dump_module Codegen.the_module
 | |
|         ;;
 | |
| 
 | |
|         main ()
 | |
| 
 | |
| bindings.c
 | |
|     .. code-block:: c
 | |
| 
 | |
|         #include <stdio.h>
 | |
| 
 | |
|         /* putchard - putchar that takes a double and returns 0. */
 | |
|         extern double putchard(double X) {
 | |
|           putchar((char)X);
 | |
|           return 0;
 | |
|         }
 | |
| 
 | |
|         /* printd - printf that takes a double prints it as "%f\n", returning 0. */
 | |
|         extern double printd(double X) {
 | |
|           printf("%f\n", X);
 | |
|           return 0;
 | |
|         }
 | |
| 
 | |
| `Next: Extending the language: mutable variables / SSA
 | |
| construction <OCamlLangImpl7.html>`_
 | |
| 
 |