forked from OSchip/llvm-project
611 lines
22 KiB
ReStructuredText
611 lines
22 KiB
ReStructuredText
==============================================
|
|
Kaleidoscope: Adding JIT and Optimizer Support
|
|
==============================================
|
|
|
|
.. contents::
|
|
:local:
|
|
|
|
Chapter 4 Introduction
|
|
======================
|
|
|
|
Welcome to Chapter 4 of the "`Implementing a language with
|
|
LLVM <index.html>`_" 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.
|
|
|
|
Trivial Constant Folding
|
|
========================
|
|
|
|
Our demonstration for Chapter 3 is elegant and easy to extend.
|
|
Unfortunately, it does not produce wonderful code. The IRBuilder,
|
|
however, does give us obvious optimizations when compiling simple code:
|
|
|
|
::
|
|
|
|
ready> def test(x) 1+2+x;
|
|
Read function definition:
|
|
define double @test(double %x) {
|
|
entry:
|
|
%addtmp = fadd double 3.000000e+00, %x
|
|
ret double %addtmp
|
|
}
|
|
|
|
This code is not a literal transcription of the AST built by parsing the
|
|
input. That would be:
|
|
|
|
::
|
|
|
|
ready> def test(x) 1+2+x;
|
|
Read function definition:
|
|
define double @test(double %x) {
|
|
entry:
|
|
%addtmp = fadd double 2.000000e+00, 1.000000e+00
|
|
%addtmp1 = fadd double %addtmp, %x
|
|
ret double %addtmp1
|
|
}
|
|
|
|
Constant folding, as seen above, 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.
|
|
|
|
With LLVM, you don't need this support in the AST. Since all calls to
|
|
build LLVM IR go through the LLVM IR builder, the builder itself checked
|
|
to see if there was a constant folding opportunity when you call it. If
|
|
so, it just does the constant fold and return the constant instead of
|
|
creating an instruction.
|
|
|
|
Well, that was easy :). In practice, we recommend always using
|
|
``IRBuilder`` 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).
|
|
|
|
On the other hand, the ``IRBuilder`` 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:
|
|
|
|
::
|
|
|
|
ready> def test(x) (1+2+x)*(x+(1+2));
|
|
ready> Read function definition:
|
|
define double @test(double %x) {
|
|
entry:
|
|
%addtmp = fadd double 3.000000e+00, %x
|
|
%addtmp1 = fadd double %x, 3.000000e+00
|
|
%multmp = fmul double %addtmp, %addtmp1
|
|
ret double %multmp
|
|
}
|
|
|
|
In this case, the LHS and RHS of the multiplication are the same value.
|
|
We'd really like to see this generate "``tmp = x+3; result = tmp*tmp;``"
|
|
instead of computing "``x+3``" twice.
|
|
|
|
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".
|
|
|
|
LLVM Optimization Passes
|
|
========================
|
|
|
|
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.
|
|
|
|
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
|
|
`How to Write a Pass <../WritingAnLLVMPass.html>`_ document and the
|
|
`List of LLVM Passes <../Passes.html>`_.
|
|
|
|
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.
|
|
|
|
In order to get per-function optimizations going, we need to set up a
|
|
`FunctionPassManager <../WritingAnLLVMPass.html#what-passmanager-doesr>`_ 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. We'll need a new
|
|
FunctionPassManager for each module that we want to optimize, so we'll
|
|
write a function to create and initialize both the module and pass manager
|
|
for us:
|
|
|
|
.. code-block:: c++
|
|
|
|
void InitializeModuleAndPassManager(void) {
|
|
// Open a new module.
|
|
Context LLVMContext;
|
|
TheModule = llvm::make_unique<Module>("my cool jit", LLVMContext);
|
|
TheModule->setDataLayout(TheJIT->getTargetMachine().createDataLayout());
|
|
|
|
// Create a new pass manager attached to it.
|
|
TheFPM = llvm::make_unique<FunctionPassManager>(TheModule.get());
|
|
|
|
// Provide basic AliasAnalysis support for GVN.
|
|
TheFPM.add(createBasicAliasAnalysisPass());
|
|
// Do simple "peephole" optimizations and bit-twiddling optzns.
|
|
TheFPM.add(createInstructionCombiningPass());
|
|
// Reassociate expressions.
|
|
TheFPM.add(createReassociatePass());
|
|
// Eliminate Common SubExpressions.
|
|
TheFPM.add(createGVNPass());
|
|
// Simplify the control flow graph (deleting unreachable blocks, etc).
|
|
TheFPM.add(createCFGSimplificationPass());
|
|
|
|
TheFPM.doInitialization();
|
|
}
|
|
|
|
This code initializes the global module ``TheModule``, and the function pass
|
|
manager ``TheFPM``, which is attached to ``TheModule``. Once the pass manager is
|
|
set up, we use a series of "add" calls to add a bunch of LLVM passes.
|
|
|
|
In this case, we choose to add five passes: one analysis pass (alias analysis),
|
|
and four optimization passes. The passes we choose 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 :).
|
|
|
|
Once the PassManager is set up, we need to make use of it. We do this by
|
|
running it after our newly created function is constructed (in
|
|
``FunctionAST::codegen()``), but before it is returned to the client:
|
|
|
|
.. code-block:: c++
|
|
|
|
if (Value *RetVal = Body->codegen()) {
|
|
// Finish off the function.
|
|
Builder.CreateRet(RetVal);
|
|
|
|
// Validate the generated code, checking for consistency.
|
|
verifyFunction(*TheFunction);
|
|
|
|
// Optimize the function.
|
|
TheFPM->run(*TheFunction);
|
|
|
|
return TheFunction;
|
|
}
|
|
|
|
As you can see, this is pretty straightforward. The
|
|
``FunctionPassManager`` optimizes and updates the LLVM Function\* in
|
|
place, improving (hopefully) its body. With this in place, we can try
|
|
our test above again:
|
|
|
|
::
|
|
|
|
ready> def test(x) (1+2+x)*(x+(1+2));
|
|
ready> Read function definition:
|
|
define double @test(double %x) {
|
|
entry:
|
|
%addtmp = fadd double %x, 3.000000e+00
|
|
%multmp = fmul double %addtmp, %addtmp
|
|
ret double %multmp
|
|
}
|
|
|
|
As expected, we now get our nicely optimized code, saving a floating
|
|
point add instruction from every execution of this function.
|
|
|
|
LLVM provides a wide variety of optimizations that can be used in
|
|
certain circumstances. Some `documentation about the various
|
|
passes <../Passes.html>`_ is available, but it isn't very complete.
|
|
Another good source of ideas can come from looking at the passes that
|
|
``Clang`` runs to get started. The "``opt``" tool allows you to
|
|
experiment with passes from the command line, so you can see if they do
|
|
anything.
|
|
|
|
Now that we have reasonable code coming out of our front-end, lets talk
|
|
about executing it!
|
|
|
|
Adding a JIT Compiler
|
|
=====================
|
|
|
|
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.
|
|
|
|
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.
|
|
|
|
In order to do this, we first declare and initialize the JIT. This is
|
|
done by adding a global variable ``TheJIT``, and initializing it in
|
|
``main``:
|
|
|
|
.. code-block:: c++
|
|
|
|
static std::unique_ptr<KaleidoscopeJIT> TheJIT;
|
|
...
|
|
int main() {
|
|
..
|
|
TheJIT = llvm::make_unique<KaleidoscopeJIT>();
|
|
|
|
// Run the main "interpreter loop" now.
|
|
MainLoop();
|
|
|
|
return 0;
|
|
}
|
|
|
|
The KaleidoscopeJIT class is a simple JIT built specifically for these
|
|
tutorials. In later chapters we will look at how it works and extend it with
|
|
new features, but for now we will take it as given. Its API is very simple::
|
|
``addModule`` adds an LLVM IR module to the JIT, making its functions
|
|
available for execution; ``removeModule`` removes a module, freeing any
|
|
memory associated with the code in that module; and ``findSymbol`` allows us
|
|
to look up pointers to the compiled code.
|
|
|
|
We can take this simple API and change our code that parses top-level expressions to
|
|
look like this:
|
|
|
|
.. code-block:: c++
|
|
|
|
static void HandleTopLevelExpression() {
|
|
// Evaluate a top-level expression into an anonymous function.
|
|
if (auto FnAST = ParseTopLevelExpr()) {
|
|
if (FnAST->codegen()) {
|
|
|
|
// JIT the module containing the anonymous expression, keeping a handle so
|
|
// we can free it later.
|
|
auto H = TheJIT->addModule(std::move(TheModule));
|
|
InitializeModuleAndPassManager();
|
|
|
|
// Search the JIT for the __anon_expr symbol.
|
|
auto ExprSymbol = TheJIT->findSymbol("__anon_expr");
|
|
assert(ExprSymbol && "Function not found");
|
|
|
|
// Get the symbol's address and cast it to the right type (takes no
|
|
// arguments, returns a double) so we can call it as a native function.
|
|
double (*FP)() = (double (*)())(intptr_t)ExprSymbol.getAddress();
|
|
fprintf(stderr, "Evaluated to %f\n", FP());
|
|
|
|
// Delete the anonymous expression module from the JIT.
|
|
TheJIT->removeModule(H);
|
|
}
|
|
|
|
If parsing and codegen succeeed, the next step is to add the module containing
|
|
the top-level expression to the JIT. We do this by calling addModule, which
|
|
triggers code generation for all the functions in the module, and returns a
|
|
handle that can be used to remove the module from the JIT later. Once the module
|
|
has been added to the JIT it can no longer be modified, so we also open a new
|
|
module to hold subsequent code by calling ``InitializeModuleAndPassManager()``.
|
|
|
|
Once we've added the module to the JIT we need to get a pointer to the final
|
|
generated code. We do this by calling the JIT's findSymbol method, and passing
|
|
the name of the top-level expression function: ``__anon_expr``. Since we just
|
|
added this function, we assert that findSymbol returned a result.
|
|
|
|
Next, we get the in-memory address of the ``__anon_expr`` function by calling
|
|
``getAddress()`` on the symbol. 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.
|
|
|
|
Finally, since we don't support re-evaluation of top-level expressions, we
|
|
remove the module from the JIT when we're done to free the associated memory.
|
|
Recall, however, that the module we created a few lines earlier (via
|
|
``InitializeModuleAndPassManager``) is still open and waiting for new code to be
|
|
added.
|
|
|
|
With just these two changes, lets see how Kaleidoscope works now!
|
|
|
|
::
|
|
|
|
ready> 4+5;
|
|
Read top-level expression:
|
|
define double @0() {
|
|
entry:
|
|
ret double 9.000000e+00
|
|
}
|
|
|
|
Evaluated to 9.000000
|
|
|
|
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?
|
|
|
|
::
|
|
|
|
ready> def testfunc(x y) x + y*2;
|
|
Read function definition:
|
|
define double @testfunc(double %x, double %y) {
|
|
entry:
|
|
%multmp = fmul double %y, 2.000000e+00
|
|
%addtmp = fadd double %multmp, %x
|
|
ret double %addtmp
|
|
}
|
|
|
|
ready> testfunc(4, 10);
|
|
Read top-level expression:
|
|
define double @1() {
|
|
entry:
|
|
%calltmp = call double @testfunc(double 4.000000e+00, double 1.000000e+01)
|
|
ret double %calltmp
|
|
}
|
|
|
|
Evaluated to 24.000000
|
|
|
|
ready> testfunc(5, 10);
|
|
ready> LLVM ERROR: Program used external function 'testfunc' which could not be resolved!
|
|
|
|
|
|
Function definitions and calls also work, but something went very wrong on that
|
|
last line. The call looks valid, so what happened? As you may have guessed from
|
|
the the API a Module is a unit of allocation for the JIT, and testfunc was part
|
|
of the same module that contained anonymous expression. When we removed that
|
|
module from the JIT to free the memory for the anonymous expression, we deleted
|
|
the definition of ``testfunc`` along with it. Then, when we tried to call
|
|
testfunc a second time, the JIT could no longer find it.
|
|
|
|
The easiest way to fix this is to put the anonymous expression in a separate
|
|
module from the rest of the function definitions. The JIT will happily resolve
|
|
function calls across module boundaries, as long as each of the functions called
|
|
has a prototype, and is added to the JIT before it is called. By putting the
|
|
anonymous expression in a different module we can delete it without affecting
|
|
the rest of the functions.
|
|
|
|
In fact, we're going to go a step further and put every function in its own
|
|
module. Doing so allows us to exploit a useful property of the KaleidoscopeJIT
|
|
that will make our environment more REPL-like: Functions can be added to the
|
|
JIT more than once (unlike a module where every function must have a unique
|
|
definition). When you look up a symbol in KaleidoscopeJIT it will always return
|
|
the most recent definition:
|
|
|
|
::
|
|
|
|
ready> def foo(x) x + 1;
|
|
Read function definition:
|
|
define double @foo(double %x) {
|
|
entry:
|
|
%addtmp = fadd double %x, 1.000000e+00
|
|
ret double %addtmp
|
|
}
|
|
|
|
ready> foo(2);
|
|
Evaluated to 3.000000
|
|
|
|
ready> def foo(x) x + 2;
|
|
define double @foo(double %x) {
|
|
entry:
|
|
%addtmp = fadd double %x, 2.000000e+00
|
|
ret double %addtmp
|
|
}
|
|
|
|
ready> foo(2);
|
|
Evaluated to 4.000000
|
|
|
|
|
|
To allow each function to live in its own module we'll need a way to
|
|
re-generate previous function declarations into each new module we open:
|
|
|
|
.. code-block:: c++
|
|
|
|
static std::unique_ptr<KaleidoscopeJIT> TheJIT;
|
|
|
|
...
|
|
|
|
Function *getFunction(std::string Name) {
|
|
// First, see if the function has already been added to the current module.
|
|
if (auto *F = TheModule->getFunction(Name))
|
|
return F;
|
|
|
|
// If not, check whether we can codegen the declaration from some existing
|
|
// prototype.
|
|
auto FI = FunctionProtos.find(Name);
|
|
if (FI != FunctionProtos.end())
|
|
return FI->second->codegen();
|
|
|
|
// If no existing prototype exists, return null.
|
|
return nullptr;
|
|
}
|
|
|
|
...
|
|
|
|
Value *CallExprAST::codegen() {
|
|
// Look up the name in the global module table.
|
|
Function *CalleeF = getFunction(Callee);
|
|
|
|
...
|
|
|
|
Function *FunctionAST::codegen() {
|
|
// Transfer ownership of the prototype to the FunctionProtos map, but keep a
|
|
// reference to it for use below.
|
|
auto &P = *Proto;
|
|
FunctionProtos[Proto->getName()] = std::move(Proto);
|
|
Function *TheFunction = getFunction(P.getName());
|
|
if (!TheFunction)
|
|
return nullptr;
|
|
|
|
|
|
To enable this, we'll start by adding a new global, ``FunctionProtos``, that
|
|
holds the most recent prototype for each function. We'll also add a convenience
|
|
method, ``getFunction()``, to replace calls to ``TheModule->getFunction()``.
|
|
Our convenience method searches ``TheModule`` for an existing function
|
|
declaration, falling back to generating a new declaration from FunctionProtos if
|
|
it doesn't find one. In ``CallExprAST::codegen()`` we just need to replace the
|
|
call to ``TheModule->getFunction()``. In ``FunctionAST::codegen()`` we need to
|
|
update the FunctionProtos map first, then call ``getFunction()``. With this
|
|
done, we can always obtain a function declaration in the current module for any
|
|
previously declared function.
|
|
|
|
We also need to update HandleDefinition and HandleExtern:
|
|
|
|
.. code-block:: c++
|
|
|
|
static void HandleDefinition() {
|
|
if (auto FnAST = ParseDefinition()) {
|
|
if (auto *FnIR = FnAST->codegen()) {
|
|
fprintf(stderr, "Read function definition:");
|
|
FnIR->dump();
|
|
TheJIT->addModule(std::move(TheModule));
|
|
InitializeModuleAndPassManager();
|
|
}
|
|
} else {
|
|
// Skip token for error recovery.
|
|
getNextToken();
|
|
}
|
|
}
|
|
|
|
static void HandleExtern() {
|
|
if (auto ProtoAST = ParseExtern()) {
|
|
if (auto *FnIR = ProtoAST->codegen()) {
|
|
fprintf(stderr, "Read extern: ");
|
|
FnIR->dump();
|
|
FunctionProtos[ProtoAST->getName()] = std::move(ProtoAST);
|
|
}
|
|
} else {
|
|
// Skip token for error recovery.
|
|
getNextToken();
|
|
}
|
|
}
|
|
|
|
In HandleDefinition, we add two lines to transfer the newly defined function to
|
|
the JIT and open a new module. In HandleExtern, we just need to add one line to
|
|
add the prototype to FunctionProtos.
|
|
|
|
With these changes made, lets try our REPL again (I removed the dump of the
|
|
anonymous functions this time, you should get the idea by now :) :
|
|
|
|
::
|
|
|
|
ready> def foo(x) x + 1;
|
|
ready> foo(2);
|
|
Evaluated to 3.000000
|
|
|
|
ready> def foo(x) x + 2;
|
|
ready> foo(2);
|
|
Evaluated to 4.000000
|
|
|
|
It works!
|
|
|
|
Even with this simple code, we get some surprisingly powerful capabilities -
|
|
check this out:
|
|
|
|
::
|
|
|
|
ready> extern sin(x);
|
|
Read extern:
|
|
declare double @sin(double)
|
|
|
|
ready> extern cos(x);
|
|
Read extern:
|
|
declare double @cos(double)
|
|
|
|
ready> sin(1.0);
|
|
Read top-level expression:
|
|
define double @2() {
|
|
entry:
|
|
ret double 0x3FEAED548F090CEE
|
|
}
|
|
|
|
Evaluated to 0.841471
|
|
|
|
ready> def foo(x) sin(x)*sin(x) + cos(x)*cos(x);
|
|
Read function definition:
|
|
define double @foo(double %x) {
|
|
entry:
|
|
%calltmp = call double @sin(double %x)
|
|
%multmp = fmul double %calltmp, %calltmp
|
|
%calltmp2 = call double @cos(double %x)
|
|
%multmp4 = fmul double %calltmp2, %calltmp2
|
|
%addtmp = fadd double %multmp, %multmp4
|
|
ret double %addtmp
|
|
}
|
|
|
|
ready> foo(4.0);
|
|
Read top-level expression:
|
|
define double @3() {
|
|
entry:
|
|
%calltmp = call double @foo(double 4.000000e+00)
|
|
ret double %calltmp
|
|
}
|
|
|
|
Evaluated to 1.000000
|
|
|
|
Whoa, how does the JIT know about sin and cos? The answer is surprisingly
|
|
simple: The KaleidoscopeJIT has a straightforward symbol resolution rule that
|
|
it uses to find symbols that aren't available in any given module: First
|
|
it searches all the modules that have already been added to the JIT, from the
|
|
most recent to the oldest, to find the newest definition. If no definition is
|
|
found inside the JIT, it falls back to calling "``dlsym("sin")``" on the
|
|
Kaleidoscope process itself. Since "``sin``" is defined within the JIT's
|
|
address space, it simply patches up calls in the module to call the libm
|
|
version of ``sin`` directly.
|
|
|
|
In the future we'll see how tweaking this symbol resolution rule can be used to
|
|
enable all sorts of useful features, from security (restricting the set of
|
|
symbols available to JIT'd code), to dynamic code generation based on symbol
|
|
names, and even lazy compilation.
|
|
|
|
One immediate benefit of the symbol resolution rule is that we can now extend
|
|
the language by writing arbitrary C++ code to implement operations. For example,
|
|
if we add:
|
|
|
|
.. code-block:: c++
|
|
|
|
/// putchard - putchar that takes a double and returns 0.
|
|
extern "C" double putchard(double X) {
|
|
fputc((char)X, stderr);
|
|
return 0;
|
|
}
|
|
|
|
Now we can produce simple output to the console by using things like:
|
|
"``extern putchard(x); putchard(120);``", 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.
|
|
|
|
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 `extending the language with control flow
|
|
constructs <LangImpl5.html>`_, tackling some interesting LLVM IR issues
|
|
along the way.
|
|
|
|
Full Code Listing
|
|
=================
|
|
|
|
Here is the complete code listing for our running example, enhanced with
|
|
the LLVM JIT and optimizer. To build this example, use:
|
|
|
|
.. code-block:: bash
|
|
|
|
# Compile
|
|
clang++ -g toy.cpp `llvm-config --cxxflags --ldflags --system-libs --libs core mcjit native` -O3 -o toy
|
|
# Run
|
|
./toy
|
|
|
|
If you are compiling this on Linux, make sure to add the "-rdynamic"
|
|
option as well. This makes sure that the external functions are resolved
|
|
properly at runtime.
|
|
|
|
Here is the code:
|
|
|
|
.. literalinclude:: ../../examples/Kaleidoscope/Chapter4/toy.cpp
|
|
:language: c++
|
|
|
|
`Next: Extending the language: control flow <LangImpl5.html>`_
|
|
|