Add chapter 3 and 4 of the ocaml/kaleidoscope tutorial.


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+<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"
+                      "http://www.w3.org/TR/html4/strict.dtd">
+
+<html>
+<head>
+  <title>Kaleidoscope: Implementing code generation to LLVM IR</title>
+  <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
+  <meta name="author" content="Chris Lattner">
+  <meta name="author" content="Erick Tryzelaar">
+  <link rel="stylesheet" href="../llvm.css" type="text/css">
+</head>
+
+<body>
+
+<div class="doc_title">Kaleidoscope: Code generation to LLVM IR</div>
+
+<ul>
+<li><a href="index.html">Up to Tutorial Index</a></li>
+<li>Chapter 3
+  <ol>
+    <li><a href="#intro">Chapter 3 Introduction</a></li>
+    <li><a href="#basics">Code Generation Setup</a></li>
+    <li><a href="#exprs">Expression Code Generation</a></li>
+    <li><a href="#funcs">Function Code Generation</a></li>
+    <li><a href="#driver">Driver Changes and Closing Thoughts</a></li>
+    <li><a href="#code">Full Code Listing</a></li>
+  </ol>
+</li>
+<li><a href="LangImpl4.html">Chapter 4</a>: Adding JIT and Optimizer
+Support</li>
+</ul>
+
+<div class="doc_author">
+	<p>
+		Written by <a href="mailto:sabre@nondot.org">Chris Lattner</a>
+		and <a href="mailto:idadesub@users.sourceforge.net">Erick Tryzelaar</a>
+	</p>
+</div>
+
+<!-- *********************************************************************** -->
+<div class="doc_section"><a name="intro">Chapter 3 Introduction</a></div>
+<!-- *********************************************************************** -->
+
+<div class="doc_text">
+
+<p>Welcome to Chapter 3 of the "<a href="index.html">Implementing a language
+with LLVM</a>" tutorial.  This chapter shows you how to transform the <a
+href="OCamlLangImpl2.html">Abstract Syntax Tree</a>, built in Chapter 2, into
+LLVM IR.  This will teach you a little bit about how LLVM does things, as well
+as demonstrate how easy it is to use.  It's much more work to build a lexer and
+parser than it is to generate LLVM IR code. :)
+</p>
+
+<p><b>Please note</b>: the code in this chapter and later require LLVM 2.3 or
+LLVM SVN to work.  LLVM 2.2 and before will not work with it.</p>
+
+</div>
+
+<!-- *********************************************************************** -->
+<div class="doc_section"><a name="basics">Code Generation Setup</a></div>
+<!-- *********************************************************************** -->
+
+<div class="doc_text">
+
+<p>
+In order to generate LLVM IR, we want some simple setup to get started.  First
+we define virtual code generation (codegen) methods in each AST class:</p>
+
+<div class="doc_code">
+<pre>
+let rec codegen_expr = function
+  | Ast.Number n -&gt; ...
+  | Ast.Variable name -&gt; ...
+</pre>
+</div>
+
+<p>The <tt>Codegen.codegen_expr</tt> function says to emit IR for that AST node
+along with all the things it depends on, and they all return an LLVM Value
+object.  "Value" is the class used to represent a "<a
+href="http://en.wikipedia.org/wiki/Static_single_assignment_form">Static Single
+Assignment (SSA)</a> register" or "SSA value" in LLVM.  The most distinct aspect
+of SSA values is that their value is computed as the related instruction
+executes, and it does not get a new value until (and if) the instruction
+re-executes.  In other words, there is no way to "change" an SSA value.  For
+more information, please read up on <a
+href="http://en.wikipedia.org/wiki/Static_single_assignment_form">Static Single
+Assignment</a> - the concepts are really quite natural once you grok them.</p>
+
+<p>The
+second thing we want is an "Error" exception like we used for the parser, which
+will be used to report errors found during code generation (for example, use of
+an undeclared parameter):</p>
+
+<div class="doc_code">
+<pre>
+exception Error of string
+
+let the_module = create_module "my cool jit"
+let builder = builder ()
+let named_values:(string, llvalue) Hashtbl.t = Hashtbl.create 10
+</pre>
+</div>
+
+<p>The static variables will be used during code generation.
+<tt>Codgen.the_module</tt> is the LLVM construct that contains all of the
+functions and global variables in a chunk of code.  In many ways, it is the
+top-level structure that the LLVM IR uses to contain code.</p>
+
+<p>The <tt>Codegen.builder</tt> object is a helper object that makes it easy to
+generate LLVM instructions.  Instances of the <a
+href="http://llvm.org/doxygen/LLVMBuilder_8h-source.html"><tt>LLVMBuilder</tt></a>
+class keep track of the current place to insert instructions and has methods to
+create new instructions.</p>
+
+<p>The <tt>Codegen.named_values</tt> map keeps track of which values are defined
+in the current scope and what their LLVM representation is.  (In other words, it
+is a symbol table for the code).  In this form of Kaleidoscope, the only things
+that can be referenced are function parameters.  As such, function parameters
+will be in this map when generating code for their function body.</p>
+
+<p>
+With these basics in place, we can start talking about how to generate code for
+each expression.  Note that this assumes that the <tt>Codgen.builder</tt> has
+been set up to generate code <em>into</em> something.  For now, we'll assume
+that this has already been done, and we'll just use it to emit code.</p>
+
+</div>
+
+<!-- *********************************************************************** -->
+<div class="doc_section"><a name="exprs">Expression Code Generation</a></div>
+<!-- *********************************************************************** -->
+
+<div class="doc_text">
+
+<p>Generating LLVM code for expression nodes is very straightforward: less
+than 30 lines of commented code for all four of our expression nodes.  First
+we'll do numeric literals:</p>
+
+<div class="doc_code">
+<pre>
+  | Ast.Number n -&gt; const_float double_type n
+</pre>
+</div>
+
+<p>In the LLVM IR, numeric constants are represented with the
+<tt>ConstantFP</tt> class, which holds the numeric value in an <tt>APFloat</tt>
+internally (<tt>APFloat</tt> has the capability of holding floating point
+constants of <em>A</em>rbitrary <em>P</em>recision).  This code basically just
+creates and returns a <tt>ConstantFP</tt>.  Note that in the LLVM IR
+that constants are all uniqued together and shared.  For this reason, the API
+uses "the foo::get(..)" idiom instead of "new foo(..)" or "foo::create(..)".</p>
+
+<div class="doc_code">
+<pre>
+  | Ast.Variable name -&gt;
+      (try Hashtbl.find named_values name with
+        | Not_found -&gt; raise (Error "unknown variable name"))
+</pre>
+</div>
+
+<p>References to variables are also quite simple using LLVM.  In the simple
+version of Kaleidoscope, we assume that the variable has already been emited
+somewhere and its value is available.  In practice, the only values that can be
+in the <tt>Codegen.named_values</tt> map are function arguments.  This code
+simply checks to see that the specified name is in the map (if not, an unknown
+variable is being referenced) and returns the value for it.  In future chapters,
+we'll add support for <a href="LangImpl5.html#for">loop induction variables</a>
+in the symbol table, and for <a href="LangImpl7.html#localvars">local
+variables</a>.</p>
+
+<div class="doc_code">
+<pre>
+  | Ast.Binary (op, lhs, rhs) -&gt;
+      let lhs_val = codegen_expr lhs in
+      let rhs_val = codegen_expr rhs in
+      begin
+        match op with
+        | '+' -&gt; build_add lhs_val rhs_val "addtmp" builder
+        | '-' -&gt; build_sub lhs_val rhs_val "subtmp" builder
+        | '*' -&gt; build_mul lhs_val rhs_val "multmp" builder
+        | '&lt;' -&gt;
+            (* 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
+        | _ -&gt; raise (Error "invalid binary operator")
+			end
+</pre>
+</div>
+
+<p>Binary operators start to get more interesting.  The basic idea here is that
+we recursively emit code for the left-hand side of the expression, then the
+right-hand side, then we compute the result of the binary expression.  In this
+code, we do a simple switch on the opcode to create the right LLVM instruction.
+</p>
+
+<p>In the example above, the LLVM builder class is starting to show its value.
+LLVMBuilder knows where to insert the newly created instruction, all you have to
+do is specify what instruction to create (e.g. with <tt>Llvm.create_add</tt>),
+which operands to use (<tt>lhs</tt> and <tt>rhs</tt> here) and optionally
+provide a name for the generated instruction.</p>
+
+<p>One nice thing about LLVM is that the name is just a hint.  For instance, if
+the code above emits multiple "addtmp" variables, LLVM will automatically
+provide each one with an increasing, unique numeric suffix.  Local value names
+for instructions are purely optional, but it makes it much easier to read the
+IR dumps.</p>
+
+<p><a href="../LangRef.html#instref">LLVM instructions</a> are constrained by
+strict rules: for example, the Left and Right operators of
+an <a href="../LangRef.html#i_add">add instruction</a> must have the same
+type, and the result type of the add must match the operand types.  Because
+all values in Kaleidoscope are doubles, this makes for very simple code for add,
+sub and mul.</p>
+
+<p>On the other hand, LLVM specifies that the <a
+href="../LangRef.html#i_fcmp">fcmp instruction</a> always returns an 'i1' value
+(a one bit integer).  The problem with this is that Kaleidoscope wants the value to be a 0.0 or 1.0 value.  In order to get these semantics, we combine the fcmp instruction with
+a <a href="../LangRef.html#i_uitofp">uitofp instruction</a>.  This instruction
+converts its input integer into a floating point value by treating the input
+as an unsigned value.  In contrast, if we used the <a
+href="../LangRef.html#i_sitofp">sitofp instruction</a>, the Kaleidoscope '&lt;'
+operator would return 0.0 and -1.0, depending on the input value.</p>
+
+<div class="doc_code">
+<pre>
+  | Ast.Call (callee, args) -&gt;
+      (* Look up the name in the module table. *)
+      let callee =
+        match lookup_function callee the_module with
+        | Some callee -&gt; callee
+        | None -&gt; 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
+</pre>
+</div>
+
+<p>Code generation for function calls is quite straightforward with LLVM.  The
+code above initially does a function name lookup in the LLVM Module's symbol
+table.  Recall that the LLVM Module is the container that holds all of the
+functions we are JIT'ing.  By giving each function the same name as what the
+user specifies, we can use the LLVM symbol table to resolve function names for
+us.</p>
+
+<p>Once we have the function to call, we recursively codegen each argument that
+is to be passed in, and create an LLVM <a href="../LangRef.html#i_call">call
+instruction</a>.  Note that LLVM uses the native C calling conventions by
+default, allowing these calls to also call into standard library functions like
+"sin" and "cos", with no additional effort.</p>
+
+<p>This wraps up our handling of the four basic expressions that we have so far
+in Kaleidoscope.  Feel free to go in and add some more.  For example, by
+browsing the <a href="../LangRef.html">LLVM language reference</a> you'll find
+several other interesting instructions that are really easy to plug into our
+basic framework.</p>
+
+</div>
+
+<!-- *********************************************************************** -->
+<div class="doc_section"><a name="funcs">Function Code Generation</a></div>
+<!-- *********************************************************************** -->
+
+<div class="doc_text">
+
+<p>Code generation for prototypes and functions must handle a number of
+details, which make their code less beautiful than expression code
+generation, but allows us to illustrate some important points.  First, lets
+talk about code generation for prototypes: they are used both for function
+bodies and external function declarations.  The code starts with:</p>
+
+<div class="doc_code">
+<pre>
+let codegen_proto = function
+  | Ast.Prototype (name, args) -&gt;
+      (* 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
+</pre>
+</div>
+
+<p>This code packs a lot of power into a few lines.  Note first that this
+function returns a "Function*" instead of a "Value*" (although at the moment
+they both are modeled by <tt>llvalue</tt> in ocaml).  Because a "prototype"
+really talks about the external interface for a function (not the value computed
+by an expression), it makes sense for it to return the LLVM Function it
+corresponds to when codegen'd.</p>
+
+<p>The call to <tt>Llvm.function_type</tt> creates the <tt>Llvm.llvalue</tt>
+that should be used for a given Prototype.  Since all function arguments in
+Kaleidoscope are of type double, the first line creates a vector of "N" LLVM
+double types.  It then uses the <tt>Llvm.function_type</tt> method to create a
+function type that takes "N" doubles as arguments, returns one double as a
+result, and that is not vararg (that uses the function
+<tt>Llvm.var_arg_function_type</tt>).  Note that Types in LLVM are uniqued just
+like <tt>Constant</tt>s are, so you don't "new" a type, you "get" it.</p>
+
+<p>The final line above checks if the function has already been defined in
+<tt>Codegen.the_module</tt>. If not, we will create it.</p>
+
+<div class="doc_code">
+<pre>
+        | None -&gt; declare_function name ft the_module
+</pre>
+</div>
+
+<p>This indicates the type and name to use, as well as which module to insert
+into.  By default we assume a function has
+<tt>Llvm.Linkage.ExternalLinkage</tt>.  "<a href="LangRef.html#linkage">external
+linkage</a>" means that the function may be defined outside the current module
+and/or that it is callable by functions outside the module.  The "<tt>name</tt>"
+passed in is the name the user specified: this name is registered in
+"<tt>Codegen.the_module</tt>"s symbol table, which is used by the function call
+code above.</p>
+
+<p>In Kaleidoscope, I choose to allow redefinitions of functions in two cases:
+first, we want to allow 'extern'ing a function more than once, as long as the
+prototypes for the externs match (since all arguments have the same type, we
+just have to check that the number of arguments match).  Second, we want to
+allow 'extern'ing a function and then definining a body for it.  This is useful
+when defining mutually recursive functions.</p>
+
+<div class="doc_code">
+<pre>
+        (* If 'f' conflicted, there was already something named 'name'. If it
+         * has a body, don't allow redefinition or reextern. *)
+        | Some f -&gt;
+            (* If 'f' already has a body, reject this. *)
+            if Array.length (basic_blocks f) == 0 then () else
+              raise (Error "redefinition of function");
+
+            (* If 'f' took a different number of arguments, reject. *)
+            if Array.length (params f) == Array.length args then () else
+              raise (Error "redefinition of function with different # args");
+            f
+      in
+</pre>
+</div>
+
+<p>In order to verify the logic above, we first check to see if the pre-existing
+function is "empty".  In this case, empty means that it has no basic blocks in
+it, which means it has no body.  If it has no body, it is a forward
+declaration.  Since we don't allow anything after a full definition of the
+function, the code rejects this case.  If the previous reference to a function
+was an 'extern', we simply verify that the number of arguments for that
+definition and this one match up.  If not, we emit an error.</p>
+
+<div class="doc_code">
+<pre>
+      (* Set names for all arguments. *)
+      Array.iteri (fun i a -&gt;
+        let n = args.(i) in
+        set_value_name n a;
+        Hashtbl.add named_values n a;
+      ) (params f);
+      f
+</pre>
+</div>
+
+<p>The last bit of code for prototypes loops over all of the arguments in the
+function, setting the name of the LLVM Argument objects to match, and registering
+the arguments in the <tt>Codegen.named_values</tt> map for future use by the
+<tt>Ast.Variable</tt> variant.  Once this is set up, it returns the Function
+object to the caller.  Note that we don't check for conflicting
+argument names here (e.g. "extern foo(a b a)").  Doing so would be very
+straight-forward with the mechanics we have already used above.</p>
+
+<div class="doc_code">
+<pre>
+let codegen_func = function
+  | Ast.Function (proto, body) -&gt;
+      Hashtbl.clear named_values;
+      let the_function = codegen_proto proto in
+</pre>
+</div>
+
+<p>Code generation for function definitions starts out simply enough: we just
+codegen the prototype (Proto) and verify that it is ok.  We then clear out the
+<tt>Codegen.named_values</tt> map to make sure that there isn't anything in it
+from the last function we compiled.  Code generation of the prototype ensures
+that there is an LLVM Function object that is ready to go for us.</p>
+
+<div class="doc_code">
+<pre>
+      (* Create a new basic block to start insertion into. *)
+      let bb = append_block "entry" the_function in
+      position_at_end bb builder;
+
+      try
+        let ret_val = codegen_expr body in
+</pre>
+</div>
+
+<p>Now we get to the point where the <tt>Codegen.builder</tt> is set up.  The
+first line creates a new
+<a href="http://en.wikipedia.org/wiki/Basic_block">basic block</a> (named
+"entry"), which is inserted into <tt>the_function</tt>.  The second line then
+tells the builder that new instructions should be inserted into the end of the
+new basic block.  Basic blocks in LLVM are an important part of functions that
+define the <a
+href="http://en.wikipedia.org/wiki/Control_flow_graph">Control Flow Graph</a>.
+Since we don't have any control flow, our functions will only contain one
+block at this point.  We'll fix this in <a href="OCamlLangImpl5.html">Chapter
+5</a> :).</p>
+
+<div class="doc_code">
+<pre>
+        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;
+
+        the_function
+</pre>
+</div>
+
+<p>Once the insertion point is set up, we call the <tt>Codegen.codegen_func</tt>
+method for the root expression of the function.  If no error happens, this emits
+code to compute the expression into the entry block and returns the value that
+was computed.  Assuming no error, we then create an LLVM <a
+href="../LangRef.html#i_ret">ret instruction</a>, which completes the function.
+Once the function is built, we call
+<tt>Llvm_analysis.assert_valid_function</tt>, which is provided by LLVM.  This
+function does a variety of consistency checks on the generated code, to
+determine if our compiler is doing everything right.  Using this is important:
+it can catch a lot of bugs.  Once the function is finished and validated, we
+return it.</p>
+
+<div class="doc_code">
+<pre>
+      with e -&gt;
+        delete_function the_function;
+        raise e
+</pre>
+</div>
+
+<p>The only piece left here is handling of the error case.  For simplicity, we
+handle this by merely deleting the function we produced with the
+<tt>Llvm.delete_function</tt> method.  This allows the user to redefine a
+function that they incorrectly typed in before: if we didn't delete it, it
+would live in the symbol table, with a body, preventing future redefinition.</p>
+
+<p>This code does have a bug, though.  Since the <tt>Codegen.codegen_proto</tt>
+can return a previously defined forward declaration, our code can actually delete
+a forward declaration.  There are a number of ways to fix this bug, see what you
+can come up with!  Here is a testcase:</p>
+
+<div class="doc_code">
+<pre>
+extern foo(a b);     # ok, defines foo.
+def foo(a b) c;      # error, 'c' is invalid.
+def bar() foo(1, 2); # error, unknown function "foo"
+</pre>
+</div>
+
+</div>
+
+<!-- *********************************************************************** -->
+<div class="doc_section"><a name="driver">Driver Changes and
+Closing Thoughts</a></div>
+<!-- *********************************************************************** -->
+
+<div class="doc_text">
+
+<p>
+For now, code generation to LLVM doesn't really get us much, except that we can
+look at the pretty IR calls.  The sample code inserts calls to Codegen into the
+"<tt>Toplevel.main_loop</tt>", and then dumps out the LLVM IR.  This gives a
+nice way to look at the LLVM IR for simple functions.  For example:
+</p>
+
+<div class="doc_code">
+<pre>
+ready&gt; <b>4+5</b>;
+Read top-level expression:
+define double @""() {
+entry:
+        %addtmp = add double 4.000000e+00, 5.000000e+00
+        ret double %addtmp
+}
+</pre>
+</div>
+
+<p>Note how the parser turns the top-level expression into anonymous functions
+for us.  This will be handy when we add <a href="LangImpl4.html#jit">JIT
+support</a> in the next chapter.  Also note that the code is very literally
+transcribed, no optimizations are being performed.  We will
+<a href="OCamlLangImpl4.html#trivialconstfold">add optimizations</a> explicitly
+in the next chapter.</p>
+
+<div class="doc_code">
+<pre>
+ready&gt; <b>def foo(a b) a*a + 2*a*b + b*b;</b>
+Read function definition:
+define double @foo(double %a, double %b) {
+entry:
+        %multmp = mul double %a, %a
+        %multmp1 = mul double 2.000000e+00, %a
+        %multmp2 = mul double %multmp1, %b
+        %addtmp = add double %multmp, %multmp2
+        %multmp3 = mul double %b, %b
+        %addtmp4 = add double %addtmp, %multmp3
+        ret double %addtmp4
+}
+</pre>
+</div>
+
+<p>This shows some simple arithmetic. Notice the striking similarity to the
+LLVM builder calls that we use to create the instructions.</p>
+
+<div class="doc_code">
+<pre>
+ready&gt; <b>def bar(a) foo(a, 4.0) + bar(31337);</b>
+Read function definition:
+define double @bar(double %a) {
+entry:
+        %calltmp = call double @foo( double %a, double 4.000000e+00 )
+        %calltmp1 = call double @bar( double 3.133700e+04 )
+        %addtmp = add double %calltmp, %calltmp1
+        ret double %addtmp
+}
+</pre>
+</div>
+
+<p>This shows some function calls.  Note that this function will take a long
+time to execute if you call it.  In the future we'll add conditional control
+flow to actually make recursion useful :).</p>
+
+<div class="doc_code">
+<pre>
+ready&gt; <b>extern cos(x);</b>
+Read extern:
+declare double @cos(double)
+
+ready&gt; <b>cos(1.234);</b>
+Read top-level expression:
+define double @""() {
+entry:
+        %calltmp = call double @cos( double 1.234000e+00 )
+        ret double %calltmp
+}
+</pre>
+</div>
+
+<p>This shows an extern for the libm "cos" function, and a call to it.</p>
+
+
+<div class="doc_code">
+<pre>
+ready&gt; <b>^D</b>
+; ModuleID = 'my cool jit'
+
+define double @""() {
+entry:
+        %addtmp = add double 4.000000e+00, 5.000000e+00
+        ret double %addtmp
+}
+
+define double @foo(double %a, double %b) {
+entry:
+        %multmp = mul double %a, %a
+        %multmp1 = mul double 2.000000e+00, %a
+        %multmp2 = mul double %multmp1, %b
+        %addtmp = add double %multmp, %multmp2
+        %multmp3 = mul double %b, %b
+        %addtmp4 = add double %addtmp, %multmp3
+        ret double %addtmp4
+}
+
+define double @bar(double %a) {
+entry:
+        %calltmp = call double @foo( double %a, double 4.000000e+00 )
+        %calltmp1 = call double @bar( double 3.133700e+04 )
+        %addtmp = add double %calltmp, %calltmp1
+        ret double %addtmp
+}
+
+declare double @cos(double)
+
+define double @""() {
+entry:
+        %calltmp = call double @cos( double 1.234000e+00 )
+        ret double %calltmp
+}
+</pre>
+</div>
+
+<p>When you quit the current demo, it dumps out the IR for the entire module
+generated.  Here you can see the big picture with all the functions referencing
+each other.</p>
+
+<p>This wraps up the third chapter of the Kaleidoscope tutorial.  Up next, we'll
+describe how to <a href="LangImpl4.html">add JIT codegen and optimizer
+support</a> to this so we can actually start running code!</p>
+
+</div>
+
+
+<!-- *********************************************************************** -->
+<div class="doc_section"><a name="code">Full Code Listing</a></div>
+<!-- *********************************************************************** -->
+
+<div class="doc_text">
+
+<p>
+Here is the complete code listing for our running example, enhanced with the
+LLVM code generator.    Because this uses the LLVM libraries, we need to link
+them in.  To do this, we use the <a
+href="http://llvm.org/cmds/llvm-config.html">llvm-config</a> tool to inform
+our makefile/command line about which options to use:</p>
+
+<div class="doc_code">
+<pre>
+# Compile
+ocamlbuild toy.byte
+# Run
+./toy.byte
+</pre>
+</div>
+
+<p>Here is the code:</p>
+
+<dl>
+<dt>_tags:</dt>
+<dd class="doc_code">
+<pre>
+&lt;{lexer,parser}.ml&gt;: use_camlp4, pp(camlp4of)
+&lt;*.{byte,native}&gt;: g++, use_llvm, use_llvm_analysis
+</pre>
+</dd>
+
+<dt>myocamlbuild.ml:</dt>
+<dd class="doc_code">
+<pre>
+open Ocamlbuild_plugin;;
+
+ocaml_lib ~extern:true "llvm";;
+ocaml_lib ~extern:true "llvm_analysis";;
+
+flag ["link"; "ocaml"; "g++"] (S[A"-cc"; A"g++"]);;
+</pre>
+</dd>
+
+<dt>token.ml:</dt>
+<dd class="doc_code">
+<pre>
+(*===----------------------------------------------------------------------===
+ * 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
+</pre>
+</dd>
+
+<dt>lexer.ml:</dt>
+<dd class="doc_code">
+<pre>
+(*===----------------------------------------------------------------------===
+ * Lexer
+ *===----------------------------------------------------------------------===*)
+
+let rec lex = parser
+  (* Skip any whitespace. *)
+  | [&lt; ' (' ' | '\n' | '\r' | '\t'); stream &gt;] -&gt; lex stream
+
+  (* identifier: [a-zA-Z][a-zA-Z0-9] *)
+  | [&lt; ' ('A' .. 'Z' | 'a' .. 'z' as c); stream &gt;] -&gt;
+      let buffer = Buffer.create 1 in
+      Buffer.add_char buffer c;
+      lex_ident buffer stream
+
+  (* number: [0-9.]+ *)
+  | [&lt; ' ('0' .. '9' as c); stream &gt;] -&gt;
+      let buffer = Buffer.create 1 in
+      Buffer.add_char buffer c;
+      lex_number buffer stream
+
+  (* Comment until end of line. *)
+  | [&lt; ' ('#'); stream &gt;] -&gt;
+      lex_comment stream
+
+  (* Otherwise, just return the character as its ascii value. *)
+  | [&lt; 'c; stream &gt;] -&gt;
+      [&lt; 'Token.Kwd c; lex stream &gt;]
+
+  (* end of stream. *)
+  | [&lt; &gt;] -&gt; [&lt; &gt;]
+
+and lex_number buffer = parser
+  | [&lt; ' ('0' .. '9' | '.' as c); stream &gt;] -&gt;
+      Buffer.add_char buffer c;
+      lex_number buffer stream
+  | [&lt; stream=lex &gt;] -&gt;
+      [&lt; 'Token.Number (float_of_string (Buffer.contents buffer)); stream &gt;]
+
+and lex_ident buffer = parser
+  | [&lt; ' ('A' .. 'Z' | 'a' .. 'z' | '0' .. '9' as c); stream &gt;] -&gt;
+      Buffer.add_char buffer c;
+      lex_ident buffer stream
+  | [&lt; stream=lex &gt;] -&gt;
+      match Buffer.contents buffer with
+      | "def" -&gt; [&lt; 'Token.Def; stream &gt;]
+      | "extern" -&gt; [&lt; 'Token.Extern; stream &gt;]
+      | id -&gt; [&lt; 'Token.Ident id; stream &gt;]
+
+and lex_comment = parser
+  | [&lt; ' ('\n'); stream=lex &gt;] -&gt; stream
+  | [&lt; 'c; e=lex_comment &gt;] -&gt; e
+  | [&lt; &gt;] -&gt; [&lt; &gt;]
+</pre>
+</dd>
+
+<dt>ast.ml:</dt>
+<dd class="doc_code">
+<pre>
+(*===----------------------------------------------------------------------===
+ * 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 binary operator. *)
+  | Binary of char * expr * expr
+
+  (* variant for function calls. *)
+  | Call of string * expr array
+
+(* 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
+
+(* func - This type represents a function definition itself. *)
+type func = Function of proto * expr
+</pre>
+</dd>
+
+<dt>parser.ml:</dt>
+<dd class="doc_code">
+<pre>
+(*===---------------------------------------------------------------------===
+ * 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 -&gt; -1
+
+(* primary
+ *   ::= identifier
+ *   ::= numberexpr
+ *   ::= parenexpr *)
+let rec parse_primary = parser
+  (* numberexpr ::= number *)
+  | [&lt; 'Token.Number n &gt;] -&gt; Ast.Number n
+
+  (* parenexpr ::= '(' expression ')' *)
+  | [&lt; 'Token.Kwd '('; e=parse_expr; 'Token.Kwd ')' ?? "expected ')'" &gt;] -&gt; e
+
+  (* identifierexpr
+   *   ::= identifier
+   *   ::= identifier '(' argumentexpr ')' *)
+  | [&lt; 'Token.Ident id; stream &gt;] -&gt;
+      let rec parse_args accumulator = parser
+        | [&lt; e=parse_expr; stream &gt;] -&gt;
+            begin parser
+              | [&lt; 'Token.Kwd ','; e=parse_args (e :: accumulator) &gt;] -&gt; e
+              | [&lt; &gt;] -&gt; e :: accumulator
+            end stream
+        | [&lt; &gt;] -&gt; accumulator
+      in
+      let rec parse_ident id = parser
+        (* Call. *)
+        | [&lt; 'Token.Kwd '(';
+             args=parse_args [];
+             'Token.Kwd ')' ?? "expected ')'"&gt;] -&gt;
+            Ast.Call (id, Array.of_list (List.rev args))
+
+        (* Simple variable ref. *)
+        | [&lt; &gt;] -&gt; Ast.Variable id
+      in
+      parse_ident id stream
+
+  | [&lt; &gt;] -&gt; raise (Stream.Error "unknown token when expecting an expression.")
+
+(* 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 -&gt;
+      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 &lt; expr_prec then lhs else begin
+        (* Eat the binop. *)
+        Stream.junk stream;
+
+        (* Parse the primary expression after the binary operator. *)
+        let rhs = parse_primary stream in
+
+        (* Okay, we know this is a binop. *)
+        let rhs =
+          match Stream.peek stream with
+          | Some (Token.Kwd c2) -&gt;
+              (* 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 &lt; next_prec
+              then parse_bin_rhs (token_prec + 1) rhs stream
+              else rhs
+          | _ -&gt; rhs
+        in
+
+        (* Merge lhs/rhs. *)
+        let lhs = Ast.Binary (c, lhs, rhs) in
+        parse_bin_rhs expr_prec lhs stream
+      end
+  | _ -&gt; lhs
+
+(* expression
+ *   ::= primary binoprhs *)
+and parse_expr = parser
+  | [&lt; lhs=parse_primary; stream &gt;] -&gt; parse_bin_rhs 0 lhs stream
+
+(* prototype
+ *   ::= id '(' id* ')' *)
+let parse_prototype =
+  let rec parse_args accumulator = parser
+    | [&lt; 'Token.Ident id; e=parse_args (id::accumulator) &gt;] -&gt; e
+    | [&lt; &gt;] -&gt; accumulator
+  in
+
+  parser
+  | [&lt; 'Token.Ident id;
+       'Token.Kwd '(' ?? "expected '(' in prototype";
+       args=parse_args [];
+       'Token.Kwd ')' ?? "expected ')' in prototype" &gt;] -&gt;
+      (* success. *)
+      Ast.Prototype (id, Array.of_list (List.rev args))
+
+  | [&lt; &gt;] -&gt;
+      raise (Stream.Error "expected function name in prototype")
+
+(* definition ::= 'def' prototype expression *)
+let parse_definition = parser
+  | [&lt; 'Token.Def; p=parse_prototype; e=parse_expr &gt;] -&gt;
+      Ast.Function (p, e)
+
+(* toplevelexpr ::= expression *)
+let parse_toplevel = parser
+  | [&lt; e=parse_expr &gt;] -&gt;
+      (* Make an anonymous proto. *)
+      Ast.Function (Ast.Prototype ("", [||]), e)
+
+(*  external ::= 'extern' prototype *)
+let parse_extern = parser
+  | [&lt; 'Token.Extern; e=parse_prototype &gt;] -&gt; e
+</pre>
+</dd>
+
+<dt>codegen.ml:</dt>
+<dd class="doc_code">
+<pre>
+(*===----------------------------------------------------------------------===
+ * Code Generation
+ *===----------------------------------------------------------------------===*)
+
+open Llvm
+
+exception Error of string
+
+let the_module = create_module "my cool jit"
+let builder = builder ()
+let named_values:(string, llvalue) Hashtbl.t = Hashtbl.create 10
+
+let rec codegen_expr = function
+  | Ast.Number n -&gt; const_float double_type n
+  | Ast.Variable name -&gt;
+      (try Hashtbl.find named_values name with
+        | Not_found -&gt; raise (Error "unknown variable name"))
+  | Ast.Binary (op, lhs, rhs) -&gt;
+      let lhs_val = codegen_expr lhs in
+      let rhs_val = codegen_expr rhs in
+      begin
+        match op with
+        | '+' -&gt; build_add lhs_val rhs_val "addtmp" builder
+        | '-' -&gt; build_sub lhs_val rhs_val "subtmp" builder
+        | '*' -&gt; build_mul lhs_val rhs_val "multmp" builder
+        | '&lt;' -&gt;
+            (* 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
+        | _ -&gt; raise (Error "invalid binary operator")
+      end
+  | Ast.Call (callee, args) -&gt;
+      (* Look up the name in the module table. *)
+      let callee =
+        match lookup_function callee the_module with
+        | Some callee -&gt; callee
+        | None -&gt; 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
+
+let codegen_proto = function
+  | Ast.Prototype (name, args) -&gt;
+      (* 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 -&gt; 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 -&gt;
+            (* If 'f' already has a body, reject this. *)
+            if block_begin f &lt;&gt; At_end f then
+              raise (Error "redefinition of function");
+
+            (* If 'f' took a different number of arguments, reject. *)
+            if element_type (type_of f) &lt;&gt; ft then
+              raise (Error "redefinition of function with different # args");
+            f
+      in
+
+      (* Set names for all arguments. *)
+      Array.iteri (fun i a -&gt;
+        let n = args.(i) in
+        set_value_name n a;
+        Hashtbl.add named_values n a;
+      ) (params f);
+      f
+
+let codegen_func = function
+  | Ast.Function (proto, body) -&gt;
+      Hashtbl.clear named_values;
+      let the_function = codegen_proto proto in
+
+      (* Create a new basic block to start insertion into. *)
+      let bb = append_block "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;
+
+        the_function
+      with e -&gt;
+        delete_function the_function;
+        raise e
+</pre>
+</dd>
+
+<dt>toplevel.ml:</dt>
+<dd class="doc_code">
+<pre>
+(*===----------------------------------------------------------------------===
+ * Top-Level parsing and JIT Driver
+ *===----------------------------------------------------------------------===*)
+
+open Llvm
+
+(* top ::= definition | external | expression | ';' *)
+let rec main_loop stream =
+  match Stream.peek stream with
+  | None -&gt; ()
+
+  (* ignore top-level semicolons. *)
+  | Some (Token.Kwd ';') -&gt;
+      Stream.junk stream;
+      main_loop stream
+
+  | Some token -&gt;
+      begin
+        try match token with
+        | Token.Def -&gt;
+            let e = Parser.parse_definition stream in
+            print_endline "parsed a function definition.";
+            dump_value (Codegen.codegen_func e);
+        | Token.Extern -&gt;
+            let e = Parser.parse_extern stream in
+            print_endline "parsed an extern.";
+            dump_value (Codegen.codegen_proto e);
+        | _ -&gt;
+            (* Evaluate a top-level expression into an anonymous function. *)
+            let e = Parser.parse_toplevel stream in
+            print_endline "parsed a top-level expr";
+            dump_value (Codegen.codegen_func e);
+        with Stream.Error s | Codegen.Error s -&gt;
+          (* Skip token for error recovery. *)
+          Stream.junk stream;
+          print_endline s;
+      end;
+      print_string "ready&gt; "; flush stdout;
+      main_loop stream
+</pre>
+</dd>
+
+<dt>toy.ml:</dt>
+<dd class="doc_code">
+<pre>
+(*===----------------------------------------------------------------------===
+ * Main driver code.
+ *===----------------------------------------------------------------------===*)
+
+open Llvm
+
+let main () =
+  (* Install standard binary operators.
+   * 1 is the lowest precedence. *)
+  Hashtbl.add Parser.binop_precedence '&lt;' 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&gt; "; flush stdout;
+  let stream = Lexer.lex (Stream.of_channel stdin) in
+
+  (* Run the main "interpreter loop" now. *)
+  Toplevel.main_loop stream;
+
+  (* Print out all the generated code. *)
+  dump_module Codegen.the_module
+;;
+
+main ()
+</pre>
+</dd>
+</dl>
+
+<a href="OCamlLangImpl4.html">Next: Adding JIT and Optimizer Support</a>
+</div>
+
+<!-- *********************************************************************** -->
+<hr>
+<address>
+  <a href="http://jigsaw.w3.org/css-validator/check/referer"><img
+  src="http://jigsaw.w3.org/css-validator/images/vcss" alt="Valid CSS!"></a>
+  <a href="http://validator.w3.org/check/referer"><img
+  src="http://www.w3.org/Icons/valid-html401" alt="Valid HTML 4.01!"></a>
+
+  <a href="mailto:sabre@nondot.org">Chris Lattner</a><br>
+  <a href="mailto:idadesub@users.sourceforge.net">Erick Tryzelaar</a><br>
+  <a href="http://llvm.org">The LLVM Compiler Infrastructure</a><br>
+  Last modified: $Date: 2007-10-17 11:05:13 -0700 (Wed, 17 Oct 2007) $
+</address>
+</body>
+</html>