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  <meta name="author" content="Chris Lattner">
  <meta name="author" content="Erick Tryzelaar">
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<div class="doc_title">Kaleidoscope: Adding JIT and Optimizer Support</div>

<ul>
<li><a href="index.html">Up to Tutorial Index</a></li>
<li>Chapter 4
  <ol>
    <li><a href="#intro">Chapter 4 Introduction</a></li>
    <li><a href="#trivialconstfold">Trivial Constant Folding</a></li>
    <li><a href="#optimizerpasses">LLVM Optimization Passes</a></li>
    <li><a href="#jit">Adding a JIT Compiler</a></li>
    <li><a href="#code">Full Code Listing</a></li>
  </ol>
</li>
<li><a href="OCamlLangImpl5.html">Chapter 5</a>: Extending the Language: Control
Flow</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 4 Introduction</a></div>
<!-- *********************************************************************** -->

<div class="doc_text">

<p>Welcome to Chapter 4 of the "<a href="index.html">Implementing a language
with LLVM</a>" tutorial.  Chapters 1-3 described the implementation of a simple
language and added support for generating LLVM IR.  This chapter describes
two new techniques: adding optimizer support to your language, and adding JIT
compiler support.  These additions will demonstrate how to get nice, efficient code
for the Kaleidoscope language.</p>

</div>

<!-- *********************************************************************** -->
<div class="doc_section"><a name="trivialconstfold">Trivial Constant
Folding</a></div>
<!-- *********************************************************************** -->

<div class="doc_text">

<p><b>Note:</b> the default <tt>IRBuilder</tt> now always includes the constant 
folding optimisations below.<p>

<p>
Our demonstration for Chapter 3 is elegant and easy to extend.  Unfortunately,
it does not produce wonderful code.  For example, when compiling simple code,
we don't get obvious optimizations:</p>

<div class="doc_code">
<pre>
ready&gt; <b>def test(x) 1+2+x;</b>
Read function definition:
define double @test(double %x) {
entry:
        %addtmp = add double 1.000000e+00, 2.000000e+00
        %addtmp1 = add double %addtmp, %x
        ret double %addtmp1
}
</pre>
</div>

<p>This code is a very, very literal transcription of the AST built by parsing
the input. As such, this transcription lacks optimizations like constant folding
(we'd like to get "<tt>add x, 3.0</tt>" in the example above) as well as other
more important optimizations.  Constant folding, in particular, is a very common
and very important optimization: so much so that many language implementors
implement constant folding support in their AST representation.</p>

<p>With LLVM, you don't need this support in the AST.  Since all calls to build
LLVM IR go through the LLVM builder, it would be nice if the builder itself
checked to see if there was a constant folding opportunity when you call it.
If so, it could just do the constant fold and return the constant instead of
creating an instruction.  This is exactly what the <tt>LLVMFoldingBuilder</tt>
class does.

<p>All we did was switch from <tt>LLVMBuilder</tt> to
<tt>LLVMFoldingBuilder</tt>.  Though we change no other code, we now have all of our
instructions implicitly constant folded without us having to do anything
about it.  For example, the input above now compiles to:</p>

<div class="doc_code">
<pre>
ready&gt; <b>def test(x) 1+2+x;</b>
Read function definition:
define double @test(double %x) {
entry:
        %addtmp = add double 3.000000e+00, %x
        ret double %addtmp
}
</pre>
</div>

<p>Well, that was easy :).  In practice, we recommend always using
<tt>LLVMFoldingBuilder</tt> when generating code like this.  It has no
"syntactic overhead" for its use (you don't have to uglify your compiler with
constant checks everywhere) and it can dramatically reduce the amount of
LLVM IR that is generated in some cases (particular for languages with a macro
preprocessor or that use a lot of constants).</p>

<p>On the other hand, the <tt>LLVMFoldingBuilder</tt> is limited by the fact
that it does all of its analysis inline with the code as it is built.  If you
take a slightly more complex example:</p>

<div class="doc_code">
<pre>
ready&gt; <b>def test(x) (1+2+x)*(x+(1+2));</b>
ready&gt; Read function definition:
define double @test(double %x) {
entry:
        %addtmp = add double 3.000000e+00, %x
        %addtmp1 = add double %x, 3.000000e+00
        %multmp = mul double %addtmp, %addtmp1
        ret double %multmp
}
</pre>
</div>

<p>In this case, the LHS and RHS of the multiplication are the same value.  We'd
really like to see this generate "<tt>tmp = x+3; result = tmp*tmp;</tt>" instead
of computing "<tt>x*3</tt>" twice.</p>

<p>Unfortunately, no amount of local analysis will be able to detect and correct
this.  This requires two transformations: reassociation of expressions (to
make the add's lexically identical) and Common Subexpression Elimination (CSE)
to  delete the redundant add instruction.  Fortunately, LLVM provides a broad
range of optimizations that you can use, in the form of "passes".</p>

</div>

<!-- *********************************************************************** -->
<div class="doc_section"><a name="optimizerpasses">LLVM Optimization
 Passes</a></div>
<!-- *********************************************************************** -->

<div class="doc_text">

<p>LLVM provides many optimization passes, which do many different sorts of
things and have different tradeoffs.  Unlike other systems, LLVM doesn't hold
to the mistaken notion that one set of optimizations is right for all languages
and for all situations.  LLVM allows a compiler implementor to make complete
decisions about what optimizations to use, in which order, and in what
situation.</p>

<p>As a concrete example, LLVM supports both "whole module" passes, which look
across as large of body of code as they can (often a whole file, but if run
at link time, this can be a substantial portion of the whole program).  It also
supports and includes "per-function" passes which just operate on a single
function at a time, without looking at other functions.  For more information
on passes and how they are run, see the <a href="../WritingAnLLVMPass.html">How
to Write a Pass</a> document and the <a href="../Passes.html">List of LLVM
Passes</a>.</p>

<p>For Kaleidoscope, we are currently generating functions on the fly, one at
a time, as the user types them in.  We aren't shooting for the ultimate
optimization experience in this setting, but we also want to catch the easy and
quick stuff where possible.  As such, we will choose to run a few per-function
optimizations as the user types the function in.  If we wanted to make a "static
Kaleidoscope compiler", we would use exactly the code we have now, except that
we would defer running the optimizer until the entire file has been parsed.</p>

<p>In order to get per-function optimizations going, we need to set up a
<a href="../WritingAnLLVMPass.html#passmanager">Llvm.PassManager</a> to hold and
organize the LLVM optimizations that we want to run.  Once we have that, we can
add a set of optimizations to run.  The code looks like this:</p>

<div class="doc_code">
<pre>
  (* Create the JIT. *)
  let the_module_provider = ModuleProvider.create Codegen.the_module in
  let the_execution_engine = ExecutionEngine.create the_module_provider in
  let the_fpm = PassManager.create_function the_module_provider in

  (* Set up the optimizer pipeline.  Start with registering info about how the
   * target lays out data structures. *)
  TargetData.add (ExecutionEngine.target_data the_execution_engine) the_fpm;

  (* Do simple "peephole" optimizations and bit-twiddling optzn. *)
  add_instruction_combining 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;

  (* Run the main "interpreter loop" now. *)
  Toplevel.main_loop the_fpm the_execution_engine stream;
</pre>
</div>

<p>This code defines two values, an <tt>Llvm.llmoduleprovider</tt> and a
<tt>Llvm.PassManager.t</tt>.  The former is basically a wrapper around our
<tt>Llvm.llmodule</tt> that the <tt>Llvm.PassManager.t</tt> requires.  It
provides certain flexibility that we're not going to take advantage of here,
so I won't dive into any details about it.</p>

<p>The meat of the matter here, is the definition of "<tt>the_fpm</tt>".  It
requires a pointer to the <tt>the_module</tt> (through the
<tt>the_module_provider</tt>) to construct itself.  Once it is set up, we use a
series of "add" calls to add a bunch of LLVM passes.  The first pass is
basically boilerplate, it adds a pass so that later optimizations know how the
data structures in the program are layed out.  The
"<tt>the_execution_engine</tt>" variable is related to the JIT, which we will
get to in the next section.</p>

<p>In this case, we choose to add 4 optimization passes.  The passes we chose
here are a pretty standard set of "cleanup" optimizations that are useful for
a wide variety of code.  I won't delve into what they do but, believe me,
they are a good starting place :).</p>

<p>Once the <tt>Llvm.PassManager.</tt> is set up, we need to make use of it.
We do this by running it after our newly created function is constructed (in
<tt>Codegen.codegen_func</tt>), but before it is returned to the client:</p>

<div class="doc_code">
<pre>
let codegen_func the_fpm = function
      ...
      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
</pre>
</div>

<p>As you can see, this is pretty straightforward.  The <tt>the_fpm</tt>
optimizes and updates the LLVM Function* in place, improving (hopefully) its
body.  With this in place, we can try our test above again:</p>

<div class="doc_code">
<pre>
ready&gt; <b>def test(x) (1+2+x)*(x+(1+2));</b>
ready&gt; Read function definition:
define double @test(double %x) {
entry:
        %addtmp = add double %x, 3.000000e+00
        %multmp = mul double %addtmp, %addtmp
        ret double %multmp
}
</pre>
</div>

<p>As expected, we now get our nicely optimized code, saving a floating point
add instruction from every execution of this function.</p>

<p>LLVM provides a wide variety of optimizations that can be used in certain
circumstances.  Some <a href="../Passes.html">documentation about the various
passes</a> is available, but it isn't very complete.  Another good source of
ideas can come from looking at the passes that <tt>llvm-gcc</tt> or
<tt>llvm-ld</tt> run to get started.  The "<tt>opt</tt>" tool allows you to
experiment with passes from the command line, so you can see if they do
anything.</p>

<p>Now that we have reasonable code coming out of our front-end, lets talk about
executing it!</p>

</div>

<!-- *********************************************************************** -->
<div class="doc_section"><a name="jit">Adding a JIT Compiler</a></div>
<!-- *********************************************************************** -->

<div class="doc_text">

<p>Code that is available in LLVM IR can have a wide variety of tools
applied to it.  For example, you can run optimizations on it (as we did above),
you can dump it out in textual or binary forms, you can compile the code to an
assembly file (.s) for some target, or you can JIT compile it.  The nice thing
about the LLVM IR representation is that it is the "common currency" between
many different parts of the compiler.
</p>

<p>In this section, we'll add JIT compiler support to our interpreter.  The
basic idea that we want for Kaleidoscope is to have the user enter function
bodies as they do now, but immediately evaluate the top-level expressions they
type in.  For example, if they type in "1 + 2;", we should evaluate and print
out 3.  If they define a function, they should be able to call it from the
command line.</p>

<p>In order to do this, we first declare and initialize the JIT.  This is done
by adding a global variable and a call in <tt>main</tt>:</p>

<div class="doc_code">
<pre>
...
let main () =
  ...
  <b>(* Create the JIT. *)
  let the_module_provider = ModuleProvider.create Codegen.the_module in
  let the_execution_engine = ExecutionEngine.create the_module_provider in</b>
  ...
</pre>
</div>

<p>This creates an abstract "Execution Engine" which can be either a JIT
compiler or the LLVM interpreter.  LLVM will automatically pick a JIT compiler
for you if one is available for your platform, otherwise it will fall back to
the interpreter.</p>

<p>Once the <tt>Llvm_executionengine.ExecutionEngine.t</tt> is created, the JIT
is ready to be used.  There are a variety of APIs that are useful, but the
simplest one is the "<tt>Llvm_executionengine.ExecutionEngine.run_function</tt>"
function.  This method JIT compiles the specified LLVM Function and returns a
function pointer to the generated machine code.  In our case, this means that we
can change the code that parses a top-level expression to look like this:</p>

<div class="doc_code">
<pre>
            (* 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 double_type result);
            print_newline ();
</pre>
</div>

<p>Recall that we compile top-level expressions into a self-contained LLVM
function that takes no arguments and returns the computed double.  Because the
LLVM JIT compiler matches the native platform ABI, this means that you can just
cast the result pointer to a function pointer of that type and call it directly.
This means, there is no difference between JIT compiled code and native machine
code that is statically linked into your application.</p>

<p>With just these two changes, lets see how Kaleidoscope works now!</p>

<div class="doc_code">
<pre>
ready&gt; <b>4+5;</b>
define double @""() {
entry:
        ret double 9.000000e+00
}

<em>Evaluated to 9.000000</em>
</pre>
</div>

<p>Well this looks like it is basically working.  The dump of the function
shows the "no argument function that always returns double" that we synthesize
for each top level expression that is typed in.  This demonstrates very basic
functionality, but can we do more?</p>

<div class="doc_code">
<pre>
ready&gt; <b>def testfunc(x y) x + y*2; </b>
Read function definition:
define double @testfunc(double %x, double %y) {
entry:
        %multmp = mul double %y, 2.000000e+00
        %addtmp = add double %multmp, %x
        ret double %addtmp
}

ready&gt; <b>testfunc(4, 10);</b>
define double @""() {
entry:
        %calltmp = call double @testfunc( double 4.000000e+00, double 1.000000e+01 )
        ret double %calltmp
}

<em>Evaluated to 24.000000</em>
</pre>
</div>

<p>This illustrates that we can now call user code, but there is something a bit
subtle going on here.  Note that we only invoke the JIT on the anonymous
functions that <em>call testfunc</em>, but we never invoked it on <em>testfunc
</em>itself.</p>

<p>What actually happened here is that the anonymous function was JIT'd when
requested.  When the Kaleidoscope app calls through the function pointer that is
returned, the anonymous function starts executing.  It ends up making the call
to the "testfunc" function, and ends up in a stub that invokes the JIT, lazily,
on testfunc.  Once the JIT finishes lazily compiling testfunc,
it returns and the code re-executes the call.</p>

<p>In summary, the JIT will lazily JIT code, on the fly, as it is needed.  The
JIT provides a number of other more advanced interfaces for things like freeing
allocated machine code, rejit'ing functions to update them, etc.  However, even
with this simple code, we get some surprisingly powerful capabilities - check
this out (I removed the dump of the anonymous functions, you should get the idea
by now :) :</p>

<div class="doc_code">
<pre>
ready&gt; <b>extern sin(x);</b>
Read extern:
declare double @sin(double)

ready&gt; <b>extern cos(x);</b>
Read extern:
declare double @cos(double)

ready&gt; <b>sin(1.0);</b>
<em>Evaluated to 0.841471</em>

ready&gt; <b>def foo(x) sin(x)*sin(x) + cos(x)*cos(x);</b>
Read function definition:
define double @foo(double %x) {
entry:
        %calltmp = call double @sin( double %x )
        %multmp = mul double %calltmp, %calltmp
        %calltmp2 = call double @cos( double %x )
        %multmp4 = mul double %calltmp2, %calltmp2
        %addtmp = add double %multmp, %multmp4
        ret double %addtmp
}

ready&gt; <b>foo(4.0);</b>
<em>Evaluated to 1.000000</em>
</pre>
</div>

<p>Whoa, how does the JIT know about sin and cos?  The answer is surprisingly
simple: in this example, the JIT started execution of a function and got to a
function call.  It realized that the function was not yet JIT compiled and
invoked the standard set of routines to resolve the function.  In this case,
there is no body defined for the function, so the JIT ended up calling
"<tt>dlsym("sin")</tt>" on the Kaleidoscope process itself.  Since
"<tt>sin</tt>" is defined within the JIT's address space, it simply patches up
calls in the module to call the libm version of <tt>sin</tt> directly.</p>

<p>The LLVM JIT provides a number of interfaces (look in the
<tt>llvm_executionengine.mli</tt> file) for controlling how unknown functions
get resolved.  It allows you to establish explicit mappings between IR objects
and addresses (useful for LLVM global variables that you want to map to static
tables, for example), allows you to dynamically decide on the fly based on the
function name, and even allows you to have the JIT abort itself if any lazy
compilation is attempted.</p>

<p>One interesting application of this is that we can now extend the language
by writing arbitrary C code to implement operations.  For example, if we add:
</p>

<div class="doc_code">
<pre>
/* putchard - putchar that takes a double and returns 0. */
extern "C"
double putchard(double X) {
  putchar((char)X);
  return 0;
}
</pre>
</div>

<p>Now we can produce simple output to the console by using things like:
"<tt>extern putchard(x); putchard(120);</tt>", which prints a lowercase 'x' on
the console (120 is the ASCII code for 'x').  Similar code could be used to
implement file I/O, console input, and many other capabilities in
Kaleidoscope.</p>

<p>This completes the JIT and optimizer chapter of the Kaleidoscope tutorial. At
this point, we can compile a non-Turing-complete programming language, optimize
and JIT compile it in a user-driven way.  Next up we'll look into <a
href="OCamlLangImpl5.html">extending the language with control flow
constructs</a>, tackling some interesting LLVM IR issues along the way.</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 JIT and optimizer.  To build this example, 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
&lt;*.{byte,native}&gt;: use_llvm_executionengine, use_llvm_target
&lt;*.{byte,native}&gt;: use_llvm_scalar_opts, use_bindings
</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";;
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++"]);;
dep ["link"; "ocaml"; "use_bindings"] ["bindings.o"];;
</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 the_fpm = 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;

        (* Optimize the function. *)
        let _ = PassManager.run_function the_function the_fpm in

        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
open Llvm_executionengine

(* top ::= definition | external | expression | ';' *)
let rec main_loop the_fpm the_execution_engine stream =
  match Stream.peek stream with
  | None -&gt; ()

  (* ignore top-level semicolons. *)
  | Some (Token.Kwd ';') -&gt;
      Stream.junk stream;
      main_loop the_fpm the_execution_engine 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 the_fpm 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";
            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 double_type result);
            print_newline ();
        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 the_fpm the_execution_engine stream
</pre>
</dd>

<dt>toy.ml:</dt>
<dd class="doc_code">
<pre>
(*===----------------------------------------------------------------------===
 * Main driver code.
 *===----------------------------------------------------------------------===*)

open Llvm
open Llvm_executionengine
open Llvm_target
open Llvm_scalar_opts

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

  (* Create the JIT. *)
  let the_module_provider = ModuleProvider.create Codegen.the_module in
  let the_execution_engine = ExecutionEngine.create the_module_provider in
  let the_fpm = PassManager.create_function the_module_provider in

  (* Set up the optimizer pipeline.  Start with registering info about how the
   * target lays out data structures. *)
  TargetData.add (ExecutionEngine.target_data the_execution_engine) the_fpm;

  (* Do simple "peephole" optimizations and bit-twiddling optzn. *)
  add_instruction_combining 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;

  (* 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 ()
</pre>
</dd>

<dt>bindings.c</dt>
<dd class="doc_code">
<pre>
#include &lt;stdio.h&gt;

/* putchard - putchar that takes a double and returns 0. */
extern double putchard(double X) {
  putchar((char)X);
  return 0;
}
</pre>
</dd>
</dl>

<a href="OCamlLangImpl5.html">Next: Extending the language: control flow</a>
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