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ReStructuredText
595 lines
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ReStructuredText
========================================
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Kaleidoscope: Code generation to LLVM IR
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========================================
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.. contents::
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:local:
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Chapter 3 Introduction
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======================
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Welcome to Chapter 3 of the "`Implementing a language with
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LLVM <index.html>`_" tutorial. This chapter shows you how to transform
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the `Abstract Syntax Tree <LangImpl2.html>`_, built in Chapter 2, into
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LLVM IR. This will teach you a little bit about how LLVM does things, as
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well as demonstrate how easy it is to use. It's much more work to build
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a lexer and parser than it is to generate LLVM IR code. :)
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**Please note**: the code in this chapter and later require LLVM 2.2 or
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later. LLVM 2.1 and before will not work with it. Also note that you
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need to use a version of this tutorial that matches your LLVM release:
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If you are using an official LLVM release, use the version of the
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documentation included with your release or on the `llvm.org releases
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page <http://llvm.org/releases/>`_.
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Code Generation Setup
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=====================
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In order to generate LLVM IR, we want some simple setup to get started.
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First we define virtual code generation (codegen) methods in each AST
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class:
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.. code-block:: c++
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/// ExprAST - Base class for all expression nodes.
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class ExprAST {
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public:
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virtual ~ExprAST() {}
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virtual Value *Codegen() = 0;
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};
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/// NumberExprAST - Expression class for numeric literals like "1.0".
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class NumberExprAST : public ExprAST {
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double Val;
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public:
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NumberExprAST(double val) : Val(val) {}
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virtual Value *Codegen();
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};
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...
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The Codegen() method says to emit IR for that AST node along with all
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the things it depends on, and they all return an LLVM Value object.
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"Value" is the class used to represent a "`Static Single Assignment
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(SSA) <http://en.wikipedia.org/wiki/Static_single_assignment_form>`_
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register" or "SSA value" in LLVM. The most distinct aspect of SSA values
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is that their value is computed as the related instruction executes, and
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it does not get a new value until (and if) the instruction re-executes.
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In other words, there is no way to "change" an SSA value. For more
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information, please read up on `Static Single
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Assignment <http://en.wikipedia.org/wiki/Static_single_assignment_form>`_
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- the concepts are really quite natural once you grok them.
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Note that instead of adding virtual methods to the ExprAST class
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hierarchy, it could also make sense to use a `visitor
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pattern <http://en.wikipedia.org/wiki/Visitor_pattern>`_ or some other
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way to model this. Again, this tutorial won't dwell on good software
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engineering practices: for our purposes, adding a virtual method is
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simplest.
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The second thing we want is an "Error" method like we used for the
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parser, which will be used to report errors found during code generation
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(for example, use of an undeclared parameter):
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.. code-block:: c++
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Value *ErrorV(const char *Str) { Error(Str); return 0; }
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static Module *TheModule;
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static IRBuilder<> Builder(getGlobalContext());
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static std::map<std::string, Value*> NamedValues;
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The static variables will be used during code generation. ``TheModule``
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is the LLVM construct that contains all of the functions and global
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variables in a chunk of code. In many ways, it is the top-level
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structure that the LLVM IR uses to contain code.
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The ``Builder`` object is a helper object that makes it easy to generate
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LLVM instructions. Instances of the
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```IRBuilder`` <http://llvm.org/doxygen/IRBuilder_8h-source.html>`_
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class template keep track of the current place to insert instructions
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and has methods to create new instructions.
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The ``NamedValues`` map keeps track of which values are defined in the
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current scope and what their LLVM representation is. (In other words, it
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is a symbol table for the code). In this form of Kaleidoscope, the only
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things that can be referenced are function parameters. As such, function
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parameters will be in this map when generating code for their function
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body.
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With these basics in place, we can start talking about how to generate
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code for each expression. Note that this assumes that the ``Builder``
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has been set up to generate code *into* something. For now, we'll assume
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that this has already been done, and we'll just use it to emit code.
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Expression Code Generation
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==========================
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Generating LLVM code for expression nodes is very straightforward: less
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than 45 lines of commented code for all four of our expression nodes.
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First we'll do numeric literals:
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.. code-block:: c++
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Value *NumberExprAST::Codegen() {
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return ConstantFP::get(getGlobalContext(), APFloat(Val));
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}
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In the LLVM IR, numeric constants are represented with the
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``ConstantFP`` class, which holds the numeric value in an ``APFloat``
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internally (``APFloat`` has the capability of holding floating point
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constants of Arbitrary Precision). This code basically just creates
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and returns a ``ConstantFP``. Note that in the LLVM IR that constants
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are all uniqued together and shared. For this reason, the API uses the
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"foo::get(...)" idiom instead of "new foo(..)" or "foo::Create(..)".
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.. code-block:: c++
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Value *VariableExprAST::Codegen() {
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// Look this variable up in the function.
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Value *V = NamedValues[Name];
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return V ? V : ErrorV("Unknown variable name");
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}
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References to variables are also quite simple using LLVM. In the simple
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version of Kaleidoscope, we assume that the variable has already been
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emitted somewhere and its value is available. In practice, the only
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values that can be in the ``NamedValues`` map are function arguments.
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This code simply checks to see that the specified name is in the map (if
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not, an unknown variable is being referenced) and returns the value for
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it. In future chapters, we'll add support for `loop induction
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variables <LangImpl5.html#for>`_ in the symbol table, and for `local
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variables <LangImpl7.html#localvars>`_.
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.. code-block:: c++
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Value *BinaryExprAST::Codegen() {
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Value *L = LHS->Codegen();
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Value *R = RHS->Codegen();
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if (L == 0 || R == 0) return 0;
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switch (Op) {
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case '+': return Builder.CreateFAdd(L, R, "addtmp");
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case '-': return Builder.CreateFSub(L, R, "subtmp");
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case '*': return Builder.CreateFMul(L, R, "multmp");
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case '<':
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L = Builder.CreateFCmpULT(L, R, "cmptmp");
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// Convert bool 0/1 to double 0.0 or 1.0
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return Builder.CreateUIToFP(L, Type::getDoubleTy(getGlobalContext()),
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"booltmp");
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default: return ErrorV("invalid binary operator");
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}
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}
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Binary operators start to get more interesting. The basic idea here is
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that we recursively emit code for the left-hand side of the expression,
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then the right-hand side, then we compute the result of the binary
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expression. In this code, we do a simple switch on the opcode to create
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the right LLVM instruction.
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In the example above, the LLVM builder class is starting to show its
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value. IRBuilder knows where to insert the newly created instruction,
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all you have to do is specify what instruction to create (e.g. with
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``CreateFAdd``), which operands to use (``L`` and ``R`` here) and
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optionally provide a name for the generated instruction.
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One nice thing about LLVM is that the name is just a hint. For instance,
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if the code above emits multiple "addtmp" variables, LLVM will
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automatically provide each one with an increasing, unique numeric
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suffix. Local value names for instructions are purely optional, but it
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makes it much easier to read the IR dumps.
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`LLVM instructions <../LangRef.html#instref>`_ are constrained by strict
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rules: for example, the Left and Right operators of an `add
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instruction <../LangRef.html#i_add>`_ must have the same type, and the
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result type of the add must match the operand types. Because all values
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in Kaleidoscope are doubles, this makes for very simple code for add,
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sub and mul.
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On the other hand, LLVM specifies that the `fcmp
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instruction <../LangRef.html#i_fcmp>`_ always returns an 'i1' value (a
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one bit integer). The problem with this is that Kaleidoscope wants the
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value to be a 0.0 or 1.0 value. In order to get these semantics, we
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combine the fcmp instruction with a `uitofp
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instruction <../LangRef.html#i_uitofp>`_. This instruction converts its
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input integer into a floating point value by treating the input as an
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unsigned value. In contrast, if we used the `sitofp
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instruction <../LangRef.html#i_sitofp>`_, the Kaleidoscope '<' operator
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would return 0.0 and -1.0, depending on the input value.
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.. code-block:: c++
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Value *CallExprAST::Codegen() {
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// Look up the name in the global module table.
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Function *CalleeF = TheModule->getFunction(Callee);
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if (CalleeF == 0)
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return ErrorV("Unknown function referenced");
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// If argument mismatch error.
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if (CalleeF->arg_size() != Args.size())
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return ErrorV("Incorrect # arguments passed");
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std::vector<Value*> ArgsV;
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for (unsigned i = 0, e = Args.size(); i != e; ++i) {
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ArgsV.push_back(Args[i]->Codegen());
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if (ArgsV.back() == 0) return 0;
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}
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return Builder.CreateCall(CalleeF, ArgsV, "calltmp");
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}
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Code generation for function calls is quite straightforward with LLVM.
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The code above initially does a function name lookup in the LLVM
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Module's symbol table. Recall that the LLVM Module is the container that
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holds all of the functions we are JIT'ing. By giving each function the
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same name as what the user specifies, we can use the LLVM symbol table
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to resolve function names for us.
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Once we have the function to call, we recursively codegen each argument
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that is to be passed in, and create an LLVM `call
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instruction <../LangRef.html#i_call>`_. Note that LLVM uses the native C
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calling conventions by default, allowing these calls to also call into
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standard library functions like "sin" and "cos", with no additional
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effort.
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This wraps up our handling of the four basic expressions that we have so
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far in Kaleidoscope. Feel free to go in and add some more. For example,
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by browsing the `LLVM language reference <../LangRef.html>`_ you'll find
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several other interesting instructions that are really easy to plug into
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our basic framework.
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Function Code Generation
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========================
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Code generation for prototypes and functions must handle a number of
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details, which make their code less beautiful than expression code
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generation, but allows us to illustrate some important points. First,
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lets talk about code generation for prototypes: they are used both for
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function bodies and external function declarations. The code starts
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with:
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.. code-block:: c++
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Function *PrototypeAST::Codegen() {
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// Make the function type: double(double,double) etc.
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std::vector<Type*> Doubles(Args.size(),
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Type::getDoubleTy(getGlobalContext()));
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FunctionType *FT = FunctionType::get(Type::getDoubleTy(getGlobalContext()),
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Doubles, false);
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Function *F = Function::Create(FT, Function::ExternalLinkage, Name, TheModule);
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This code packs a lot of power into a few lines. Note first that this
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function returns a "Function\*" instead of a "Value\*". Because a
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"prototype" really talks about the external interface for a function
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(not the value computed by an expression), it makes sense for it to
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return the LLVM Function it corresponds to when codegen'd.
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The call to ``FunctionType::get`` creates the ``FunctionType`` that
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should be used for a given Prototype. Since all function arguments in
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Kaleidoscope are of type double, the first line creates a vector of "N"
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LLVM double types. It then uses the ``Functiontype::get`` method to
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create a function type that takes "N" doubles as arguments, returns one
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double as a result, and that is not vararg (the false parameter
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indicates this). Note that Types in LLVM are uniqued just like Constants
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are, so you don't "new" a type, you "get" it.
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The final line above actually creates the function that the prototype
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will correspond to. This indicates the type, linkage and name to use, as
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well as which module to insert into. "`external
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linkage <../LangRef.html#linkage>`_" means that the function may be
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defined outside the current module and/or that it is callable by
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functions outside the module. The Name passed in is the name the user
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specified: since "``TheModule``" is specified, this name is registered
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in "``TheModule``"s symbol table, which is used by the function call
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code above.
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.. code-block:: c++
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// If F conflicted, there was already something named 'Name'. If it has a
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// body, don't allow redefinition or reextern.
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if (F->getName() != Name) {
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// Delete the one we just made and get the existing one.
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F->eraseFromParent();
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F = TheModule->getFunction(Name);
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The Module symbol table works just like the Function symbol table when
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it comes to name conflicts: if a new function is created with a name
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that was previously added to the symbol table, the new function will get
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implicitly renamed when added to the Module. The code above exploits
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this fact to determine if there was a previous definition of this
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function.
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In Kaleidoscope, I choose to allow redefinitions of functions in two
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cases: first, we want to allow 'extern'ing a function more than once, as
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long as the prototypes for the externs match (since all arguments have
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the same type, we just have to check that the number of arguments
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match). Second, we want to allow 'extern'ing a function and then
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defining a body for it. This is useful when defining mutually recursive
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functions.
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In order to implement this, the code above first checks to see if there
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is a collision on the name of the function. If so, it deletes the
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function we just created (by calling ``eraseFromParent``) and then
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calling ``getFunction`` to get the existing function with the specified
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name. Note that many APIs in LLVM have "erase" forms and "remove" forms.
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The "remove" form unlinks the object from its parent (e.g. a Function
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from a Module) and returns it. The "erase" form unlinks the object and
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then deletes it.
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.. code-block:: c++
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// If F already has a body, reject this.
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if (!F->empty()) {
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ErrorF("redefinition of function");
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return 0;
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}
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// If F took a different number of args, reject.
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if (F->arg_size() != Args.size()) {
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ErrorF("redefinition of function with different # args");
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return 0;
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}
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}
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In order to verify the logic above, we first check to see if the
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pre-existing function is "empty". In this case, empty means that it has
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no basic blocks in it, which means it has no body. If it has no body, it
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is a forward declaration. Since we don't allow anything after a full
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definition of the function, the code rejects this case. If the previous
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reference to a function was an 'extern', we simply verify that the
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number of arguments for that definition and this one match up. If not,
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we emit an error.
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.. code-block:: c++
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// Set names for all arguments.
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unsigned Idx = 0;
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for (Function::arg_iterator AI = F->arg_begin(); Idx != Args.size();
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++AI, ++Idx) {
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AI->setName(Args[Idx]);
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// Add arguments to variable symbol table.
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NamedValues[Args[Idx]] = AI;
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}
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return F;
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}
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The last bit of code for prototypes loops over all of the arguments in
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the function, setting the name of the LLVM Argument objects to match,
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and registering the arguments in the ``NamedValues`` map for future use
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by the ``VariableExprAST`` AST node. Once this is set up, it returns the
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Function object to the caller. Note that we don't check for conflicting
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argument names here (e.g. "extern foo(a b a)"). Doing so would be very
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straight-forward with the mechanics we have already used above.
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.. code-block:: c++
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Function *FunctionAST::Codegen() {
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NamedValues.clear();
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Function *TheFunction = Proto->Codegen();
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if (TheFunction == 0)
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return 0;
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Code generation for function definitions starts out simply enough: we
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just codegen the prototype (Proto) and verify that it is ok. We then
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clear out the ``NamedValues`` map to make sure that there isn't anything
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in it from the last function we compiled. Code generation of the
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prototype ensures that there is an LLVM Function object that is ready to
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go for us.
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.. code-block:: c++
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// Create a new basic block to start insertion into.
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BasicBlock *BB = BasicBlock::Create(getGlobalContext(), "entry", TheFunction);
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Builder.SetInsertPoint(BB);
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if (Value *RetVal = Body->Codegen()) {
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Now we get to the point where the ``Builder`` is set up. The first line
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creates a new `basic block <http://en.wikipedia.org/wiki/Basic_block>`_
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(named "entry"), which is inserted into ``TheFunction``. The second line
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then tells the builder that new instructions should be inserted into the
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end of the new basic block. Basic blocks in LLVM are an important part
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of functions that define the `Control Flow
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Graph <http://en.wikipedia.org/wiki/Control_flow_graph>`_. Since we
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don't have any control flow, our functions will only contain one block
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at this point. We'll fix this in `Chapter 5 <LangImpl5.html>`_ :).
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.. code-block:: c++
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if (Value *RetVal = Body->Codegen()) {
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// Finish off the function.
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Builder.CreateRet(RetVal);
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// Validate the generated code, checking for consistency.
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verifyFunction(*TheFunction);
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return TheFunction;
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}
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Once the insertion point is set up, we call the ``CodeGen()`` method for
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the root expression of the function. If no error happens, this emits
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code to compute the expression into the entry block and returns the
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value that was computed. Assuming no error, we then create an LLVM `ret
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instruction <../LangRef.html#i_ret>`_, which completes the function.
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Once the function is built, we call ``verifyFunction``, which is
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provided by LLVM. This function does a variety of consistency checks on
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the generated code, to determine if our compiler is doing everything
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right. Using this is important: it can catch a lot of bugs. Once the
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function is finished and validated, we return it.
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.. code-block:: c++
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// Error reading body, remove function.
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TheFunction->eraseFromParent();
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return 0;
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}
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The only piece left here is handling of the error case. For simplicity,
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we handle this by merely deleting the function we produced with the
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``eraseFromParent`` method. This allows the user to redefine a function
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that they incorrectly typed in before: if we didn't delete it, it would
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live in the symbol table, with a body, preventing future redefinition.
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This code does have a bug, though. Since the ``PrototypeAST::Codegen``
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can return a previously defined forward declaration, our code can
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actually delete a forward declaration. There are a number of ways to fix
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this bug, see what you can come up with! Here is a testcase:
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::
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extern foo(a b); # ok, defines foo.
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def foo(a b) c; # error, 'c' is invalid.
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def bar() foo(1, 2); # error, unknown function "foo"
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Driver Changes and Closing Thoughts
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===================================
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For now, code generation to LLVM doesn't really get us much, except that
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we can look at the pretty IR calls. The sample code inserts calls to
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Codegen into the "``HandleDefinition``", "``HandleExtern``" etc
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functions, and then dumps out the LLVM IR. This gives a nice way to look
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at the LLVM IR for simple functions. For example:
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::
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ready> 4+5;
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Read top-level expression:
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define double @0() {
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entry:
|
|
ret double 9.000000e+00
|
|
}
|
|
|
|
Note how the parser turns the top-level expression into anonymous
|
|
functions for us. This will be handy when we add `JIT
|
|
support <LangImpl4.html#jit>`_ in the next chapter. Also note that the
|
|
code is very literally transcribed, no optimizations are being performed
|
|
except simple constant folding done by IRBuilder. We will `add
|
|
optimizations <LangImpl4.html#trivialconstfold>`_ 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 @1() {
|
|
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.
|
|
|
|
.. TODO:: Abandon Pygments' horrible `llvm` lexer. It just totally gives up
|
|
on highlighting this due to the first line.
|
|
|
|
::
|
|
|
|
ready> ^D
|
|
; ModuleID = 'my cool jit'
|
|
|
|
define double @0() {
|
|
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 @1() {
|
|
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 <LangImpl4.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
|
|
clang++ -g -O3 toy.cpp `llvm-config --cppflags --ldflags --libs core` -o toy
|
|
# Run
|
|
./toy
|
|
|
|
Here is the code:
|
|
|
|
.. literalinclude:: ../../examples/Kaleidoscope/Chapter3/toy.cpp
|
|
:language: c++
|
|
|
|
`Next: Adding JIT and Optimizer Support <LangImpl4.html>`_
|
|
|