| ======================================== | 
 | Kaleidoscope: Code generation to LLVM IR | 
 | ======================================== | 
 |  | 
 | .. contents:: | 
 |    :local: | 
 |  | 
 | Chapter 3 Introduction | 
 | ====================== | 
 |  | 
 | Welcome to Chapter 3 of the "`Implementing a language with | 
 | LLVM <index.html>`_" tutorial. This chapter shows you how to transform | 
 | the `Abstract Syntax Tree <OCamlLangImpl2.html>`_, 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. :) | 
 |  | 
 | **Please note**: 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. | 
 |  | 
 | Code Generation Setup | 
 | ===================== | 
 |  | 
 | 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: | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |     let rec codegen_expr = function | 
 |       | Ast.Number n -> ... | 
 |       | Ast.Variable name -> ... | 
 |  | 
 | The ``Codegen.codegen_expr`` 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 "`Static Single | 
 | Assignment | 
 | (SSA) <http://en.wikipedia.org/wiki/Static_single_assignment_form>`_ | 
 | 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 `Static Single | 
 | Assignment <http://en.wikipedia.org/wiki/Static_single_assignment_form>`_ | 
 | - the concepts are really quite natural once you grok them. | 
 |  | 
 | 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): | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |     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 | 
 |  | 
 | The static variables will be used during code generation. | 
 | ``Codegen.the_module`` 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. | 
 |  | 
 | The ``Codegen.builder`` object is a helper object that makes it easy to | 
 | generate LLVM instructions. Instances of the | 
 | `IRBuilder <http://llvm.org/doxygen/IRBuilder_8h-source.html>`_ | 
 | class keep track of the current place to insert instructions and has | 
 | methods to create new instructions. | 
 |  | 
 | The ``Codegen.named_values`` 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. | 
 |  | 
 | With these basics in place, we can start talking about how to generate | 
 | code for each expression. Note that this assumes that the | 
 | ``Codegen.builder`` has been set up to generate code *into* something. | 
 | For now, we'll assume that this has already been done, and we'll just | 
 | use it to emit code. | 
 |  | 
 | Expression Code Generation | 
 | ========================== | 
 |  | 
 | 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: | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |       | Ast.Number n -> const_float double_type n | 
 |  | 
 | In the LLVM IR, numeric constants are represented with the | 
 | ``ConstantFP`` class, which holds the numeric value in an ``APFloat`` | 
 | internally (``APFloat`` has the capability of holding floating point | 
 | constants of Arbitrary Precision). This code basically just creates | 
 | and returns a ``ConstantFP``. 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(..)". | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |       | Ast.Variable name -> | 
 |           (try Hashtbl.find named_values name with | 
 |             | Not_found -> raise (Error "unknown variable name")) | 
 |  | 
 | References to variables are also quite simple using LLVM. In the simple | 
 | version of Kaleidoscope, we assume that the variable has already been | 
 | emitted somewhere and its value is available. In practice, the only | 
 | values that can be in the ``Codegen.named_values`` 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 `loop | 
 | induction variables <LangImpl5.html#for-loop-expression>`_ in the symbol table, and for | 
 | `local variables <LangImpl7.html#user-defined-local-variables>`_. | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |       | Ast.Binary (op, lhs, rhs) -> | 
 |           let lhs_val = codegen_expr lhs in | 
 |           let rhs_val = codegen_expr rhs in | 
 |           begin | 
 |             match op with | 
 |             | '+' -> build_fadd lhs_val rhs_val "addtmp" builder | 
 |             | '-' -> build_fsub lhs_val rhs_val "subtmp" builder | 
 |             | '*' -> build_fmul 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 | 
 |             | _ -> raise (Error "invalid binary operator") | 
 |           end | 
 |  | 
 | 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. | 
 |  | 
 | In the example above, the LLVM builder class is starting to show its | 
 | value. IRBuilder knows where to insert the newly created instruction, | 
 | all you have to do is specify what instruction to create (e.g. with | 
 | ``Llvm.create_add``), which operands to use (``lhs`` and ``rhs`` here) | 
 | and optionally provide a name for the generated instruction. | 
 |  | 
 | 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. | 
 |  | 
 | `LLVM instructions <../LangRef.html#instruction-reference>`_ are constrained by strict | 
 | rules: for example, the Left and Right operators of an `add | 
 | instruction <../LangRef.html#add-instruction>`_ 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. | 
 |  | 
 | On the other hand, LLVM specifies that the `fcmp | 
 | instruction <../LangRef.html#fcmp-instruction>`_ 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 `uitofp | 
 | instruction <../LangRef.html#uitofp-to-instruction>`_. 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 `sitofp | 
 | instruction <../LangRef.html#sitofp-to-instruction>`_, the Kaleidoscope '<' operator | 
 | would return 0.0 and -1.0, depending on the input value. | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |       | 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 | 
 |  | 
 | 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. | 
 |  | 
 | Once we have the function to call, we recursively codegen each argument | 
 | that is to be passed in, and create an LLVM `call | 
 | instruction <../LangRef.html#call-instruction>`_. 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. | 
 |  | 
 | 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 `LLVM language reference <../LangRef.html>`_ you'll find | 
 | several other interesting instructions that are really easy to plug into | 
 | our basic framework. | 
 |  | 
 | Function Code Generation | 
 | ======================== | 
 |  | 
 | 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: | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |     let codegen_proto = function | 
 |       | Ast.Prototype (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 | 
 |  | 
 | 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 ``llvalue`` 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. | 
 |  | 
 | The call to ``Llvm.function_type`` creates the ``Llvm.llvalue`` 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 ``Llvm.function_type`` 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 | 
 | ``Llvm.var_arg_function_type``). Note that Types in LLVM are uniqued | 
 | just like ``Constant``'s are, so you don't "new" a type, you "get" it. | 
 |  | 
 | The final line above checks if the function has already been defined in | 
 | ``Codegen.the_module``. If not, we will create it. | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |             | None -> declare_function name ft the_module | 
 |  | 
 | This indicates the type and name to use, as well as which module to | 
 | insert into. By default we assume a function has | 
 | ``Llvm.Linkage.ExternalLinkage``. "`external | 
 | linkage <../LangRef.html#linkage>`_" means that the function may be defined | 
 | outside the current module and/or that it is callable by functions | 
 | outside the module. The "``name``" passed in is the name the user | 
 | specified: this name is registered in "``Codegen.the_module``"s symbol | 
 | table, which is used by the function call code above. | 
 |  | 
 | 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 | 
 | defining a body for it. This is useful when defining mutually recursive | 
 | functions. | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |             (* 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 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 | 
 |  | 
 | 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. | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |           (* 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 | 
 |  | 
 | 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 ``Codegen.named_values`` map for | 
 | future use by the ``Ast.Variable`` 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. | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |     let codegen_func = function | 
 |       | Ast.Function (proto, body) -> | 
 |           Hashtbl.clear named_values; | 
 |           let the_function = codegen_proto proto in | 
 |  | 
 | 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 ``Codegen.named_values`` 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. | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |           (* 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 | 
 |  | 
 | Now we get to the point where the ``Codegen.builder`` is set up. The | 
 | first line creates a new `basic | 
 | block <http://en.wikipedia.org/wiki/Basic_block>`_ (named "entry"), | 
 | which is inserted into ``the_function``. 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 `Control Flow | 
 | Graph <http://en.wikipedia.org/wiki/Control_flow_graph>`_. Since we | 
 | don't have any control flow, our functions will only contain one block | 
 | at this point. We'll fix this in `Chapter 5 <OCamlLangImpl5.html>`_ :). | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |             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 | 
 |  | 
 | Once the insertion point is set up, we call the ``Codegen.codegen_func`` | 
 | 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 `ret instruction <../LangRef.html#ret-instruction>`_, which completes the | 
 | function. Once the function is built, we call | 
 | ``Llvm_analysis.assert_valid_function``, 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. | 
 |  | 
 | .. code-block:: ocaml | 
 |  | 
 |           with e -> | 
 |             delete_function the_function; | 
 |             raise e | 
 |  | 
 | 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 | 
 | ``Llvm.delete_function`` 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. | 
 |  | 
 | This code does have a bug, though. Since the ``Codegen.codegen_proto`` | 
 | 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: | 
 |  | 
 | :: | 
 |  | 
 |     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" | 
 |  | 
 | Driver Changes and Closing Thoughts | 
 | =================================== | 
 |  | 
 | 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 "``Toplevel.main_loop``", and then dumps out the LLVM | 
 | IR. This gives a nice way to look at the LLVM IR for simple functions. | 
 | For example: | 
 |  | 
 | :: | 
 |  | 
 |     ready> 4+5; | 
 |     Read top-level expression: | 
 |     define double @""() { | 
 |     entry: | 
 |             %addtmp = fadd double 4.000000e+00, 5.000000e+00 | 
 |             ret double %addtmp | 
 |     } | 
 |  | 
 | Note how the parser turns the top-level expression into anonymous | 
 | functions for us. This will be handy when we add `JIT | 
 | support <OCamlLangImpl4.html#adding-a-jit-compiler>`_ in the next chapter. Also note that | 
 | the code is very literally transcribed, no optimizations are being | 
 | performed. We will `add | 
 | optimizations <OCamlLangImpl4.html#trivial-constant-folding>`_ explicitly in the | 
 | next chapter. | 
 |  | 
 | :: | 
 |  | 
 |     ready> def foo(a b) a*a + 2*a*b + b*b; | 
 |     Read function definition: | 
 |     define double @foo(double %a, double %b) { | 
 |     entry: | 
 |             %multmp = fmul double %a, %a | 
 |             %multmp1 = fmul double 2.000000e+00, %a | 
 |             %multmp2 = fmul double %multmp1, %b | 
 |             %addtmp = fadd double %multmp, %multmp2 | 
 |             %multmp3 = fmul double %b, %b | 
 |             %addtmp4 = fadd double %addtmp, %multmp3 | 
 |             ret double %addtmp4 | 
 |     } | 
 |  | 
 | This shows some simple arithmetic. Notice the striking similarity to the | 
 | LLVM builder calls that we use to create the instructions. | 
 |  | 
 | :: | 
 |  | 
 |     ready> def bar(a) foo(a, 4.0) + bar(31337); | 
 |     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 = fadd double %calltmp, %calltmp1 | 
 |             ret double %addtmp | 
 |     } | 
 |  | 
 | 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 :). | 
 |  | 
 | :: | 
 |  | 
 |     ready> extern cos(x); | 
 |     Read extern: | 
 |     declare double @cos(double) | 
 |  | 
 |     ready> cos(1.234); | 
 |     Read top-level expression: | 
 |     define double @""() { | 
 |     entry: | 
 |             %calltmp = call double @cos(double 1.234000e+00) | 
 |             ret double %calltmp | 
 |     } | 
 |  | 
 | This shows an extern for the libm "cos" function, and a call to it. | 
 |  | 
 | :: | 
 |  | 
 |     ready> ^D | 
 |     ; ModuleID = 'my cool jit' | 
 |  | 
 |     define double @""() { | 
 |     entry: | 
 |             %addtmp = fadd double 4.000000e+00, 5.000000e+00 | 
 |             ret double %addtmp | 
 |     } | 
 |  | 
 |     define double @foo(double %a, double %b) { | 
 |     entry: | 
 |             %multmp = fmul double %a, %a | 
 |             %multmp1 = fmul double 2.000000e+00, %a | 
 |             %multmp2 = fmul double %multmp1, %b | 
 |             %addtmp = fadd double %multmp, %multmp2 | 
 |             %multmp3 = fmul double %b, %b | 
 |             %addtmp4 = fadd 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 = fadd double %calltmp, %calltmp1 | 
 |             ret double %addtmp | 
 |     } | 
 |  | 
 |     declare double @cos(double) | 
 |  | 
 |     define double @""() { | 
 |     entry: | 
 |             %calltmp = call double @cos(double 1.234000e+00) | 
 |             ret double %calltmp | 
 |     } | 
 |  | 
 | 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. | 
 |  | 
 | This wraps up the third chapter of the Kaleidoscope tutorial. Up next, | 
 | we'll describe how to `add JIT codegen and optimizer | 
 | support <OCamlLangImpl4.html>`_ to this so we can actually start running | 
 | code! | 
 |  | 
 | Full Code Listing | 
 | ================= | 
 |  | 
 | 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 | 
 | `llvm-config <http://llvm.org/cmds/llvm-config.html>`_ tool to inform | 
 | our makefile/command line about which options to 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 | 
 |  | 
 | myocamlbuild.ml: | 
 |     .. code-block:: ocaml | 
 |  | 
 |         open Ocamlbuild_plugin;; | 
 |  | 
 |         ocaml_lib ~extern:true "llvm";; | 
 |         ocaml_lib ~extern:true "llvm_analysis";; | 
 |  | 
 |         flag ["link"; "ocaml"; "g++"] (S[A"-cc"; A"g++"]);; | 
 |  | 
 | 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 | 
 |  | 
 | 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 >] | 
 |               | 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 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 | 
 |  | 
 | 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 *) | 
 |         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 | 
 |  | 
 |           | [< >] -> 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 -> | 
 |               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 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) -> | 
 |                       (* 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_primary; stream >] -> parse_bin_rhs 0 lhs stream | 
 |  | 
 |         (* prototype | 
 |          *   ::= id '(' id* ')' *) | 
 |         let parse_prototype = | 
 |           let rec parse_args accumulator = parser | 
 |             | [< 'Token.Ident id; e=parse_args (id::accumulator) >] -> e | 
 |             | [< >] -> accumulator | 
 |           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)) | 
 |  | 
 |           | [< >] -> | 
 |               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.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 | 
 |                 | _ -> raise (Error "invalid binary operator") | 
 |               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 | 
 |  | 
 |         let codegen_proto = function | 
 |           | Ast.Prototype (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 = function | 
 |           | Ast.Function (proto, body) -> | 
 |               Hashtbl.clear named_values; | 
 |               let the_function = codegen_proto proto in | 
 |  | 
 |               (* 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; | 
 |  | 
 |                 the_function | 
 |               with e -> | 
 |                 delete_function the_function; | 
 |                 raise e | 
 |  | 
 | toplevel.ml: | 
 |     .. code-block:: ocaml | 
 |  | 
 |         (*===----------------------------------------------------------------------=== | 
 |          * Top-Level parsing and JIT Driver | 
 |          *===----------------------------------------------------------------------===*) | 
 |  | 
 |         open Llvm | 
 |  | 
 |         (* top ::= definition | external | expression | ';' *) | 
 |         let rec main_loop stream = | 
 |           match Stream.peek stream with | 
 |           | None -> () | 
 |  | 
 |           (* ignore top-level semicolons. *) | 
 |           | Some (Token.Kwd ';') -> | 
 |               Stream.junk stream; | 
 |               main_loop 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 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"; | 
 |                     dump_value (Codegen.codegen_func e); | 
 |                 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 stream | 
 |  | 
 | toy.ml: | 
 |     .. code-block:: ocaml | 
 |  | 
 |         (*===----------------------------------------------------------------------=== | 
 |          * Main driver code. | 
 |          *===----------------------------------------------------------------------===*) | 
 |  | 
 |         open Llvm | 
 |  | 
 |         let main () = | 
 |           (* 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 | 
 |  | 
 |           (* Run the main "interpreter loop" now. *) | 
 |           Toplevel.main_loop stream; | 
 |  | 
 |           (* Print out all the generated code. *) | 
 |           dump_module Codegen.the_module | 
 |         ;; | 
 |  | 
 |         main () | 
 |  | 
 | `Next: Adding JIT and Optimizer Support <OCamlLangImpl4.html>`_ | 
 |  |