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			1442 lines
		
	
	
		
			58 KiB
		
	
	
	
		
			ReStructuredText
		
	
	
	
============================================================
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Kaleidoscope: Extending the Language: User-defined Operators
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============================================================
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.. contents::
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   :local:
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Chapter 6 Introduction
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======================
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Welcome to Chapter 6 of the "`Implementing a language with
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LLVM <index.html>`_" tutorial. At this point in our tutorial, we now
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have a fully functional language that is fairly minimal, but also
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useful. There is still one big problem with it, however. Our language
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doesn't have many useful operators (like division, logical negation, or
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even any comparisons besides less-than).
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This chapter of the tutorial takes a wild digression into adding
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user-defined operators to the simple and beautiful Kaleidoscope
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language. This digression now gives us a simple and ugly language in
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some ways, but also a powerful one at the same time. One of the great
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things about creating your own language is that you get to decide what
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is good or bad. In this tutorial we'll assume that it is okay to use
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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
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application that `renders the Mandelbrot set <#example>`_. This gives an
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example of what you can build with Kaleidoscope and its feature set.
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User-defined Operators: the Idea
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================================
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The "operator overloading" that we will add to Kaleidoscope is more
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general than languages like C++. In C++, you are only allowed to
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redefine existing operators: you can't programatically change the
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grammar, introduce new operators, change precedence levels, etc. In this
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chapter, we will add this capability to Kaleidoscope, which will let the
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user round out the set of operators that are supported.
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The point of going into user-defined operators in a tutorial like this
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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
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for most parts of the grammar and operator precedence parsing for the
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expressions. See `Chapter 2 <OCamlLangImpl2.html>`_ for details. Without
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using operator precedence parsing, it would be very difficult to allow
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the programmer to introduce new operators into the grammar: the grammar
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is dynamically extensible as the JIT runs.
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The two specific features we'll add are programmable unary operators
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(right now, Kaleidoscope has no unary operators at all) as well as
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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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    # 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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    # Binary "logical or", (note that it does not "short circuit")
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    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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    # 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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Many languages aspire to being able to implement their standard runtime
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library in the language itself. In Kaleidoscope, we can implement
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significant parts of the language in the library!
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We will break down implementation of these features into two parts:
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implementing support for user-defined binary operators and adding unary
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operators.
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User-defined Binary Operators
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=============================
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Adding support for user-defined binary operators is pretty simple with
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our current framework. We'll first add support for the unary/binary
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keywords:
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.. code-block:: ocaml
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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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    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 >]
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          | "unary" -> [< 'Token.Unary; stream >]
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This just adds lexer support for the unary and binary keywords, like we
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did in `previous chapters <OCamlLangImpl5.html#iflexer>`_. One nice
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thing about our current AST, is that we represent binary operators with
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full generalisation by using their ASCII code as the opcode. For our
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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
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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
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     * its name, and its argument names (thus implicitly the number of arguments the
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     * 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
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track of whether it was an operator, and if it was, what precedence
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level the operator is at. The precedence is only used for binary
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operators (as you'll see below, it just doesn't apply for unary
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operators). Now that we have a way to represent the prototype for a
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user-defined operator, we need to parse it:
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.. code-block:: ocaml
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    (* prototype
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     *   ::= id '(' id* ')'
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     *   ::= binary LETTER number? (id, id)
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     *   ::= 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
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        | [< >] -> accumulator
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      in
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      let parse_operator = parser
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        | [< 'Token.Unary >] -> "unary", 1
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        | [< '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
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      in
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      parser
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      | [< 'Token.Ident id;
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           'Token.Kwd '(' ?? "expected '(' in prototype";
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           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";
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            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")
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          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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This is all fairly straightforward parsing code, and we have already
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seen a lot of similar code in the past. One interesting part about the
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code above is the couple lines that set up ``name`` for binary
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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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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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.. code-block:: ocaml
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    let codegen_expr = function
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      ...
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      | Ast.Binary (op, lhs, rhs) ->
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          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
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                  | None -> raise (Error "binary operator not found!")
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                in
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                build_call callee [|lhs_val; rhs_val|] "binop" builder
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          end
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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:
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.. code-block:: ocaml
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    let codegen_func the_fpm = function
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      | Ast.Function (proto, body) ->
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          Hashtbl.clear named_values;
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          let the_function = codegen_proto proto in
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          (* If this is an operator, install it. *)
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          begin match proto with
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          | Ast.BinOpPrototype (name, args, prec) ->
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              let op = name.[String.length name - 1] in
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              Hashtbl.add Parser.binop_precedence op prec;
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          | _ -> ()
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          end;
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          (* Create a new basic block to start insertion into. *)
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          let bb = append_block context "entry" the_function in
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          position_at_end bb builder;
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          ...
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Basically, before codegening a function, if it is a user-defined
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operator, we register it in the precedence table. This allows the binary
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operator parsing logic we already have in place to handle it. Since we
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are working on a fully-general operator precedence parser, this is all
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we need to do to "extend the grammar".
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Now we have useful user-defined binary operators. This builds a lot on
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the previous framework we built for other operators. Adding unary
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operators is a bit more challenging, because we don't have any framework
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for it yet - lets see what it takes.
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User-defined Unary Operators
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============================
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Since we don't currently support unary operators in the Kaleidoscope
 | 
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language, we'll need to add everything to support them. Above, we added
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simple support for the 'unary' keyword to the lexer. In addition to
 | 
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that, we need an AST node:
 | 
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.. code-block:: ocaml
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    type expr =
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      ...
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      (* variant for a unary operator. *)
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      | 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
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binary operator AST node, except that it only has one child. With this,
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we need to add the parsing logic. Parsing a unary operator is pretty
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simple: we'll add a new function to do it:
 | 
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.. code-block:: ocaml
 | 
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    (* unary
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     *   ::= primary
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     *   ::= '!' unary *)
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    and parse_unary = parser
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      (* If this is a unary operator, read it. *)
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      | [< 'Token.Kwd op when op != '(' && op != ')'; operand=parse_expr >] ->
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          Ast.Unary (op, operand)
 | 
						|
 | 
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      (* If the current token is not an operator, it must be a primary expr. *)
 | 
						|
      | [< stream >] -> parse_primary stream
 | 
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The grammar we add is pretty straightforward here. If we see a unary
 | 
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operator when parsing a primary operator, we eat the operator as a
 | 
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prefix and parse the remaining piece as another unary operator. This
 | 
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allows us to handle multiple unary operators (e.g. "!!x"). Note that
 | 
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unary operators can't have ambiguous parses like binary operators can,
 | 
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so there is no need for precedence information.
 | 
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The problem with this function, is that we need to call ParseUnary from
 | 
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somewhere. To do this, we change previous callers of ParsePrimary to
 | 
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call ``parse_unary`` instead:
 | 
						|
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.. code-block:: ocaml
 | 
						|
 | 
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    (* binoprhs
 | 
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     *   ::= ('+' primary)* *)
 | 
						|
    and parse_bin_rhs expr_prec lhs stream =
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            ...
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            (* Parse the unary expression after the binary operator. *)
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            let rhs = parse_unary stream in
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            ...
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						|
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    ...
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    (* expression
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     *   ::= primary binoprhs *)
 | 
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    and parse_expr = parser
 | 
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      | [< lhs=parse_unary; stream >] -> parse_bin_rhs 0 lhs stream
 | 
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With these two simple changes, we are now able to parse unary operators
 | 
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and build the AST for them. Next up, we need to add parser support for
 | 
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prototypes, to parse the unary operator prototype. We extend the binary
 | 
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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
 | 
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        | [< >] -> 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 mandleconverger(real imag iters creal cimag)
 | 
						|
      if iters > 255 | (real*real + imag*imag > 4) then
 | 
						|
        iters
 | 
						|
      else
 | 
						|
        mandleconverger(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 mandleconverge(real imag)
 | 
						|
      mandleconverger(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 mandlebrot 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(mandleconverge(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 mandlebrot 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>`_
 | 
						|
 |