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      1 =======================================================
      2 Kaleidoscope: Extending the Language: Mutable Variables
      3 =======================================================
      4 
      5 .. contents::
      6    :local:
      7 
      8 Chapter 7 Introduction
      9 ======================
     10 
     11 Welcome to Chapter 7 of the "`Implementing a language with
     12 LLVM <index.html>`_" tutorial. In chapters 1 through 6, we've built a
     13 very respectable, albeit simple, `functional programming
     14 language <http://en.wikipedia.org/wiki/Functional_programming>`_. In our
     15 journey, we learned some parsing techniques, how to build and represent
     16 an AST, how to build LLVM IR, and how to optimize the resultant code as
     17 well as JIT compile it.
     18 
     19 While Kaleidoscope is interesting as a functional language, the fact
     20 that it is functional makes it "too easy" to generate LLVM IR for it. In
     21 particular, a functional language makes it very easy to build LLVM IR
     22 directly in `SSA
     23 form <http://en.wikipedia.org/wiki/Static_single_assignment_form>`_.
     24 Since LLVM requires that the input code be in SSA form, this is a very
     25 nice property and it is often unclear to newcomers how to generate code
     26 for an imperative language with mutable variables.
     27 
     28 The short (and happy) summary of this chapter is that there is no need
     29 for your front-end to build SSA form: LLVM provides highly tuned and
     30 well tested support for this, though the way it works is a bit
     31 unexpected for some.
     32 
     33 Why is this a hard problem?
     34 ===========================
     35 
     36 To understand why mutable variables cause complexities in SSA
     37 construction, consider this extremely simple C example:
     38 
     39 .. code-block:: c
     40 
     41     int G, H;
     42     int test(_Bool Condition) {
     43       int X;
     44       if (Condition)
     45         X = G;
     46       else
     47         X = H;
     48       return X;
     49     }
     50 
     51 In this case, we have the variable "X", whose value depends on the path
     52 executed in the program. Because there are two different possible values
     53 for X before the return instruction, a PHI node is inserted to merge the
     54 two values. The LLVM IR that we want for this example looks like this:
     55 
     56 .. code-block:: llvm
     57 
     58     @G = weak global i32 0   ; type of @G is i32*
     59     @H = weak global i32 0   ; type of @H is i32*
     60 
     61     define i32 @test(i1 %Condition) {
     62     entry:
     63       br i1 %Condition, label %cond_true, label %cond_false
     64 
     65     cond_true:
     66       %X.0 = load i32* @G
     67       br label %cond_next
     68 
     69     cond_false:
     70       %X.1 = load i32* @H
     71       br label %cond_next
     72 
     73     cond_next:
     74       %X.2 = phi i32 [ %X.1, %cond_false ], [ %X.0, %cond_true ]
     75       ret i32 %X.2
     76     }
     77 
     78 In this example, the loads from the G and H global variables are
     79 explicit in the LLVM IR, and they live in the then/else branches of the
     80 if statement (cond\_true/cond\_false). In order to merge the incoming
     81 values, the X.2 phi node in the cond\_next block selects the right value
     82 to use based on where control flow is coming from: if control flow comes
     83 from the cond\_false block, X.2 gets the value of X.1. Alternatively, if
     84 control flow comes from cond\_true, it gets the value of X.0. The intent
     85 of this chapter is not to explain the details of SSA form. For more
     86 information, see one of the many `online
     87 references <http://en.wikipedia.org/wiki/Static_single_assignment_form>`_.
     88 
     89 The question for this article is "who places the phi nodes when lowering
     90 assignments to mutable variables?". The issue here is that LLVM
     91 *requires* that its IR be in SSA form: there is no "non-ssa" mode for
     92 it. However, SSA construction requires non-trivial algorithms and data
     93 structures, so it is inconvenient and wasteful for every front-end to
     94 have to reproduce this logic.
     95 
     96 Memory in LLVM
     97 ==============
     98 
     99 The 'trick' here is that while LLVM does require all register values to
    100 be in SSA form, it does not require (or permit) memory objects to be in
    101 SSA form. In the example above, note that the loads from G and H are
    102 direct accesses to G and H: they are not renamed or versioned. This
    103 differs from some other compiler systems, which do try to version memory
    104 objects. In LLVM, instead of encoding dataflow analysis of memory into
    105 the LLVM IR, it is handled with `Analysis
    106 Passes <../WritingAnLLVMPass.html>`_ which are computed on demand.
    107 
    108 With this in mind, the high-level idea is that we want to make a stack
    109 variable (which lives in memory, because it is on the stack) for each
    110 mutable object in a function. To take advantage of this trick, we need
    111 to talk about how LLVM represents stack variables.
    112 
    113 In LLVM, all memory accesses are explicit with load/store instructions,
    114 and it is carefully designed not to have (or need) an "address-of"
    115 operator. Notice how the type of the @G/@H global variables is actually
    116 "i32\*" even though the variable is defined as "i32". What this means is
    117 that @G defines *space* for an i32 in the global data area, but its
    118 *name* actually refers to the address for that space. Stack variables
    119 work the same way, except that instead of being declared with global
    120 variable definitions, they are declared with the `LLVM alloca
    121 instruction <../LangRef.html#i_alloca>`_:
    122 
    123 .. code-block:: llvm
    124 
    125     define i32 @example() {
    126     entry:
    127       %X = alloca i32           ; type of %X is i32*.
    128       ...
    129       %tmp = load i32* %X       ; load the stack value %X from the stack.
    130       %tmp2 = add i32 %tmp, 1   ; increment it
    131       store i32 %tmp2, i32* %X  ; store it back
    132       ...
    133 
    134 This code shows an example of how you can declare and manipulate a stack
    135 variable in the LLVM IR. Stack memory allocated with the alloca
    136 instruction is fully general: you can pass the address of the stack slot
    137 to functions, you can store it in other variables, etc. In our example
    138 above, we could rewrite the example to use the alloca technique to avoid
    139 using a PHI node:
    140 
    141 .. code-block:: llvm
    142 
    143     @G = weak global i32 0   ; type of @G is i32*
    144     @H = weak global i32 0   ; type of @H is i32*
    145 
    146     define i32 @test(i1 %Condition) {
    147     entry:
    148       %X = alloca i32           ; type of %X is i32*.
    149       br i1 %Condition, label %cond_true, label %cond_false
    150 
    151     cond_true:
    152       %X.0 = load i32* @G
    153       store i32 %X.0, i32* %X   ; Update X
    154       br label %cond_next
    155 
    156     cond_false:
    157       %X.1 = load i32* @H
    158       store i32 %X.1, i32* %X   ; Update X
    159       br label %cond_next
    160 
    161     cond_next:
    162       %X.2 = load i32* %X       ; Read X
    163       ret i32 %X.2
    164     }
    165 
    166 With this, we have discovered a way to handle arbitrary mutable
    167 variables without the need to create Phi nodes at all:
    168 
    169 #. Each mutable variable becomes a stack allocation.
    170 #. Each read of the variable becomes a load from the stack.
    171 #. Each update of the variable becomes a store to the stack.
    172 #. Taking the address of a variable just uses the stack address
    173    directly.
    174 
    175 While this solution has solved our immediate problem, it introduced
    176 another one: we have now apparently introduced a lot of stack traffic
    177 for very simple and common operations, a major performance problem.
    178 Fortunately for us, the LLVM optimizer has a highly-tuned optimization
    179 pass named "mem2reg" that handles this case, promoting allocas like this
    180 into SSA registers, inserting Phi nodes as appropriate. If you run this
    181 example through the pass, for example, you'll get:
    182 
    183 .. code-block:: bash
    184 
    185     $ llvm-as < example.ll | opt -mem2reg | llvm-dis
    186     @G = weak global i32 0
    187     @H = weak global i32 0
    188 
    189     define i32 @test(i1 %Condition) {
    190     entry:
    191       br i1 %Condition, label %cond_true, label %cond_false
    192 
    193     cond_true:
    194       %X.0 = load i32* @G
    195       br label %cond_next
    196 
    197     cond_false:
    198       %X.1 = load i32* @H
    199       br label %cond_next
    200 
    201     cond_next:
    202       %X.01 = phi i32 [ %X.1, %cond_false ], [ %X.0, %cond_true ]
    203       ret i32 %X.01
    204     }
    205 
    206 The mem2reg pass implements the standard "iterated dominance frontier"
    207 algorithm for constructing SSA form and has a number of optimizations
    208 that speed up (very common) degenerate cases. The mem2reg optimization
    209 pass is the answer to dealing with mutable variables, and we highly
    210 recommend that you depend on it. Note that mem2reg only works on
    211 variables in certain circumstances:
    212 
    213 #. mem2reg is alloca-driven: it looks for allocas and if it can handle
    214    them, it promotes them. It does not apply to global variables or heap
    215    allocations.
    216 #. mem2reg only looks for alloca instructions in the entry block of the
    217    function. Being in the entry block guarantees that the alloca is only
    218    executed once, which makes analysis simpler.
    219 #. mem2reg only promotes allocas whose uses are direct loads and stores.
    220    If the address of the stack object is passed to a function, or if any
    221    funny pointer arithmetic is involved, the alloca will not be
    222    promoted.
    223 #. mem2reg only works on allocas of `first
    224    class <../LangRef.html#t_classifications>`_ values (such as pointers,
    225    scalars and vectors), and only if the array size of the allocation is
    226    1 (or missing in the .ll file). mem2reg is not capable of promoting
    227    structs or arrays to registers. Note that the "scalarrepl" pass is
    228    more powerful and can promote structs, "unions", and arrays in many
    229    cases.
    230 
    231 All of these properties are easy to satisfy for most imperative
    232 languages, and we'll illustrate it below with Kaleidoscope. The final
    233 question you may be asking is: should I bother with this nonsense for my
    234 front-end? Wouldn't it be better if I just did SSA construction
    235 directly, avoiding use of the mem2reg optimization pass? In short, we
    236 strongly recommend that you use this technique for building SSA form,
    237 unless there is an extremely good reason not to. Using this technique
    238 is:
    239 
    240 -  Proven and well tested: llvm-gcc and clang both use this technique
    241    for local mutable variables. As such, the most common clients of LLVM
    242    are using this to handle a bulk of their variables. You can be sure
    243    that bugs are found fast and fixed early.
    244 -  Extremely Fast: mem2reg has a number of special cases that make it
    245    fast in common cases as well as fully general. For example, it has
    246    fast-paths for variables that are only used in a single block,
    247    variables that only have one assignment point, good heuristics to
    248    avoid insertion of unneeded phi nodes, etc.
    249 -  Needed for debug info generation: `Debug information in
    250    LLVM <../SourceLevelDebugging.html>`_ relies on having the address of
    251    the variable exposed so that debug info can be attached to it. This
    252    technique dovetails very naturally with this style of debug info.
    253 
    254 If nothing else, this makes it much easier to get your front-end up and
    255 running, and is very simple to implement. Lets extend Kaleidoscope with
    256 mutable variables now!
    257 
    258 Mutable Variables in Kaleidoscope
    259 =================================
    260 
    261 Now that we know the sort of problem we want to tackle, lets see what
    262 this looks like in the context of our little Kaleidoscope language.
    263 We're going to add two features:
    264 
    265 #. The ability to mutate variables with the '=' operator.
    266 #. The ability to define new variables.
    267 
    268 While the first item is really what this is about, we only have
    269 variables for incoming arguments as well as for induction variables, and
    270 redefining those only goes so far :). Also, the ability to define new
    271 variables is a useful thing regardless of whether you will be mutating
    272 them. Here's a motivating example that shows how we could use these:
    273 
    274 ::
    275 
    276     # Define ':' for sequencing: as a low-precedence operator that ignores operands
    277     # and just returns the RHS.
    278     def binary : 1 (x y) y;
    279 
    280     # Recursive fib, we could do this before.
    281     def fib(x)
    282       if (x < 3) then
    283         1
    284       else
    285         fib(x-1)+fib(x-2);
    286 
    287     # Iterative fib.
    288     def fibi(x)
    289       var a = 1, b = 1, c in
    290       (for i = 3, i < x in
    291          c = a + b :
    292          a = b :
    293          b = c) :
    294       b;
    295 
    296     # Call it.
    297     fibi(10);
    298 
    299 In order to mutate variables, we have to change our existing variables
    300 to use the "alloca trick". Once we have that, we'll add our new
    301 operator, then extend Kaleidoscope to support new variable definitions.
    302 
    303 Adjusting Existing Variables for Mutation
    304 =========================================
    305 
    306 The symbol table in Kaleidoscope is managed at code generation time by
    307 the '``NamedValues``' map. This map currently keeps track of the LLVM
    308 "Value\*" that holds the double value for the named variable. In order
    309 to support mutation, we need to change this slightly, so that it
    310 ``NamedValues`` holds the *memory location* of the variable in question.
    311 Note that this change is a refactoring: it changes the structure of the
    312 code, but does not (by itself) change the behavior of the compiler. All
    313 of these changes are isolated in the Kaleidoscope code generator.
    314 
    315 At this point in Kaleidoscope's development, it only supports variables
    316 for two things: incoming arguments to functions and the induction
    317 variable of 'for' loops. For consistency, we'll allow mutation of these
    318 variables in addition to other user-defined variables. This means that
    319 these will both need memory locations.
    320 
    321 To start our transformation of Kaleidoscope, we'll change the
    322 NamedValues map so that it maps to AllocaInst\* instead of Value\*. Once
    323 we do this, the C++ compiler will tell us what parts of the code we need
    324 to update:
    325 
    326 .. code-block:: c++
    327 
    328     static std::map<std::string, AllocaInst*> NamedValues;
    329 
    330 Also, since we will need to create these alloca's, we'll use a helper
    331 function that ensures that the allocas are created in the entry block of
    332 the function:
    333 
    334 .. code-block:: c++
    335 
    336     /// CreateEntryBlockAlloca - Create an alloca instruction in the entry block of
    337     /// the function.  This is used for mutable variables etc.
    338     static AllocaInst *CreateEntryBlockAlloca(Function *TheFunction,
    339                                               const std::string &VarName) {
    340       IRBuilder<> TmpB(&TheFunction->getEntryBlock(),
    341                      TheFunction->getEntryBlock().begin());
    342       return TmpB.CreateAlloca(Type::getDoubleTy(getGlobalContext()), 0,
    343                                VarName.c_str());
    344     }
    345 
    346 This funny looking code creates an IRBuilder object that is pointing at
    347 the first instruction (.begin()) of the entry block. It then creates an
    348 alloca with the expected name and returns it. Because all values in
    349 Kaleidoscope are doubles, there is no need to pass in a type to use.
    350 
    351 With this in place, the first functionality change we want to make is to
    352 variable references. In our new scheme, variables live on the stack, so
    353 code generating a reference to them actually needs to produce a load
    354 from the stack slot:
    355 
    356 .. code-block:: c++
    357 
    358     Value *VariableExprAST::Codegen() {
    359       // Look this variable up in the function.
    360       Value *V = NamedValues[Name];
    361       if (V == 0) return ErrorV("Unknown variable name");
    362 
    363       // Load the value.
    364       return Builder.CreateLoad(V, Name.c_str());
    365     }
    366 
    367 As you can see, this is pretty straightforward. Now we need to update
    368 the things that define the variables to set up the alloca. We'll start
    369 with ``ForExprAST::Codegen`` (see the `full code listing <#code>`_ for
    370 the unabridged code):
    371 
    372 .. code-block:: c++
    373 
    374       Function *TheFunction = Builder.GetInsertBlock()->getParent();
    375 
    376       // Create an alloca for the variable in the entry block.
    377       AllocaInst *Alloca = CreateEntryBlockAlloca(TheFunction, VarName);
    378 
    379         // Emit the start code first, without 'variable' in scope.
    380       Value *StartVal = Start->Codegen();
    381       if (StartVal == 0) return 0;
    382 
    383       // Store the value into the alloca.
    384       Builder.CreateStore(StartVal, Alloca);
    385       ...
    386 
    387       // Compute the end condition.
    388       Value *EndCond = End->Codegen();
    389       if (EndCond == 0) return EndCond;
    390 
    391       // Reload, increment, and restore the alloca.  This handles the case where
    392       // the body of the loop mutates the variable.
    393       Value *CurVar = Builder.CreateLoad(Alloca);
    394       Value *NextVar = Builder.CreateFAdd(CurVar, StepVal, "nextvar");
    395       Builder.CreateStore(NextVar, Alloca);
    396       ...
    397 
    398 This code is virtually identical to the code `before we allowed mutable
    399 variables <LangImpl5.html#forcodegen>`_. The big difference is that we
    400 no longer have to construct a PHI node, and we use load/store to access
    401 the variable as needed.
    402 
    403 To support mutable argument variables, we need to also make allocas for
    404 them. The code for this is also pretty simple:
    405 
    406 .. code-block:: c++
    407 
    408     /// CreateArgumentAllocas - Create an alloca for each argument and register the
    409     /// argument in the symbol table so that references to it will succeed.
    410     void PrototypeAST::CreateArgumentAllocas(Function *F) {
    411       Function::arg_iterator AI = F->arg_begin();
    412       for (unsigned Idx = 0, e = Args.size(); Idx != e; ++Idx, ++AI) {
    413         // Create an alloca for this variable.
    414         AllocaInst *Alloca = CreateEntryBlockAlloca(F, Args[Idx]);
    415 
    416         // Store the initial value into the alloca.
    417         Builder.CreateStore(AI, Alloca);
    418 
    419         // Add arguments to variable symbol table.
    420         NamedValues[Args[Idx]] = Alloca;
    421       }
    422     }
    423 
    424 For each argument, we make an alloca, store the input value to the
    425 function into the alloca, and register the alloca as the memory location
    426 for the argument. This method gets invoked by ``FunctionAST::Codegen``
    427 right after it sets up the entry block for the function.
    428 
    429 The final missing piece is adding the mem2reg pass, which allows us to
    430 get good codegen once again:
    431 
    432 .. code-block:: c++
    433 
    434         // Set up the optimizer pipeline.  Start with registering info about how the
    435         // target lays out data structures.
    436         OurFPM.add(new DataLayout(*TheExecutionEngine->getDataLayout()));
    437         // Promote allocas to registers.
    438         OurFPM.add(createPromoteMemoryToRegisterPass());
    439         // Do simple "peephole" optimizations and bit-twiddling optzns.
    440         OurFPM.add(createInstructionCombiningPass());
    441         // Reassociate expressions.
    442         OurFPM.add(createReassociatePass());
    443 
    444 It is interesting to see what the code looks like before and after the
    445 mem2reg optimization runs. For example, this is the before/after code
    446 for our recursive fib function. Before the optimization:
    447 
    448 .. code-block:: llvm
    449 
    450     define double @fib(double %x) {
    451     entry:
    452       %x1 = alloca double
    453       store double %x, double* %x1
    454       %x2 = load double* %x1
    455       %cmptmp = fcmp ult double %x2, 3.000000e+00
    456       %booltmp = uitofp i1 %cmptmp to double
    457       %ifcond = fcmp one double %booltmp, 0.000000e+00
    458       br i1 %ifcond, label %then, label %else
    459 
    460     then:       ; preds = %entry
    461       br label %ifcont
    462 
    463     else:       ; preds = %entry
    464       %x3 = load double* %x1
    465       %subtmp = fsub double %x3, 1.000000e+00
    466       %calltmp = call double @fib(double %subtmp)
    467       %x4 = load double* %x1
    468       %subtmp5 = fsub double %x4, 2.000000e+00
    469       %calltmp6 = call double @fib(double %subtmp5)
    470       %addtmp = fadd double %calltmp, %calltmp6
    471       br label %ifcont
    472 
    473     ifcont:     ; preds = %else, %then
    474       %iftmp = phi double [ 1.000000e+00, %then ], [ %addtmp, %else ]
    475       ret double %iftmp
    476     }
    477 
    478 Here there is only one variable (x, the input argument) but you can
    479 still see the extremely simple-minded code generation strategy we are
    480 using. In the entry block, an alloca is created, and the initial input
    481 value is stored into it. Each reference to the variable does a reload
    482 from the stack. Also, note that we didn't modify the if/then/else
    483 expression, so it still inserts a PHI node. While we could make an
    484 alloca for it, it is actually easier to create a PHI node for it, so we
    485 still just make the PHI.
    486 
    487 Here is the code after the mem2reg pass runs:
    488 
    489 .. code-block:: llvm
    490 
    491     define double @fib(double %x) {
    492     entry:
    493       %cmptmp = fcmp ult double %x, 3.000000e+00
    494       %booltmp = uitofp i1 %cmptmp to double
    495       %ifcond = fcmp one double %booltmp, 0.000000e+00
    496       br i1 %ifcond, label %then, label %else
    497 
    498     then:
    499       br label %ifcont
    500 
    501     else:
    502       %subtmp = fsub double %x, 1.000000e+00
    503       %calltmp = call double @fib(double %subtmp)
    504       %subtmp5 = fsub double %x, 2.000000e+00
    505       %calltmp6 = call double @fib(double %subtmp5)
    506       %addtmp = fadd double %calltmp, %calltmp6
    507       br label %ifcont
    508 
    509     ifcont:     ; preds = %else, %then
    510       %iftmp = phi double [ 1.000000e+00, %then ], [ %addtmp, %else ]
    511       ret double %iftmp
    512     }
    513 
    514 This is a trivial case for mem2reg, since there are no redefinitions of
    515 the variable. The point of showing this is to calm your tension about
    516 inserting such blatent inefficiencies :).
    517 
    518 After the rest of the optimizers run, we get:
    519 
    520 .. code-block:: llvm
    521 
    522     define double @fib(double %x) {
    523     entry:
    524       %cmptmp = fcmp ult double %x, 3.000000e+00
    525       %booltmp = uitofp i1 %cmptmp to double
    526       %ifcond = fcmp ueq double %booltmp, 0.000000e+00
    527       br i1 %ifcond, label %else, label %ifcont
    528 
    529     else:
    530       %subtmp = fsub double %x, 1.000000e+00
    531       %calltmp = call double @fib(double %subtmp)
    532       %subtmp5 = fsub double %x, 2.000000e+00
    533       %calltmp6 = call double @fib(double %subtmp5)
    534       %addtmp = fadd double %calltmp, %calltmp6
    535       ret double %addtmp
    536 
    537     ifcont:
    538       ret double 1.000000e+00
    539     }
    540 
    541 Here we see that the simplifycfg pass decided to clone the return
    542 instruction into the end of the 'else' block. This allowed it to
    543 eliminate some branches and the PHI node.
    544 
    545 Now that all symbol table references are updated to use stack variables,
    546 we'll add the assignment operator.
    547 
    548 New Assignment Operator
    549 =======================
    550 
    551 With our current framework, adding a new assignment operator is really
    552 simple. We will parse it just like any other binary operator, but handle
    553 it internally (instead of allowing the user to define it). The first
    554 step is to set a precedence:
    555 
    556 .. code-block:: c++
    557 
    558      int main() {
    559        // Install standard binary operators.
    560        // 1 is lowest precedence.
    561        BinopPrecedence['='] = 2;
    562        BinopPrecedence['<'] = 10;
    563        BinopPrecedence['+'] = 20;
    564        BinopPrecedence['-'] = 20;
    565 
    566 Now that the parser knows the precedence of the binary operator, it
    567 takes care of all the parsing and AST generation. We just need to
    568 implement codegen for the assignment operator. This looks like:
    569 
    570 .. code-block:: c++
    571 
    572     Value *BinaryExprAST::Codegen() {
    573       // Special case '=' because we don't want to emit the LHS as an expression.
    574       if (Op == '=') {
    575         // Assignment requires the LHS to be an identifier.
    576         VariableExprAST *LHSE = dynamic_cast<VariableExprAST*>(LHS);
    577         if (!LHSE)
    578           return ErrorV("destination of '=' must be a variable");
    579 
    580 Unlike the rest of the binary operators, our assignment operator doesn't
    581 follow the "emit LHS, emit RHS, do computation" model. As such, it is
    582 handled as a special case before the other binary operators are handled.
    583 The other strange thing is that it requires the LHS to be a variable. It
    584 is invalid to have "(x+1) = expr" - only things like "x = expr" are
    585 allowed.
    586 
    587 .. code-block:: c++
    588 
    589         // Codegen the RHS.
    590         Value *Val = RHS->Codegen();
    591         if (Val == 0) return 0;
    592 
    593         // Look up the name.
    594         Value *Variable = NamedValues[LHSE->getName()];
    595         if (Variable == 0) return ErrorV("Unknown variable name");
    596 
    597         Builder.CreateStore(Val, Variable);
    598         return Val;
    599       }
    600       ...
    601 
    602 Once we have the variable, codegen'ing the assignment is
    603 straightforward: we emit the RHS of the assignment, create a store, and
    604 return the computed value. Returning a value allows for chained
    605 assignments like "X = (Y = Z)".
    606 
    607 Now that we have an assignment operator, we can mutate loop variables
    608 and arguments. For example, we can now run code like this:
    609 
    610 ::
    611 
    612     # Function to print a double.
    613     extern printd(x);
    614 
    615     # Define ':' for sequencing: as a low-precedence operator that ignores operands
    616     # and just returns the RHS.
    617     def binary : 1 (x y) y;
    618 
    619     def test(x)
    620       printd(x) :
    621       x = 4 :
    622       printd(x);
    623 
    624     test(123);
    625 
    626 When run, this example prints "123" and then "4", showing that we did
    627 actually mutate the value! Okay, we have now officially implemented our
    628 goal: getting this to work requires SSA construction in the general
    629 case. However, to be really useful, we want the ability to define our
    630 own local variables, lets add this next!
    631 
    632 User-defined Local Variables
    633 ============================
    634 
    635 Adding var/in is just like any other other extensions we made to
    636 Kaleidoscope: we extend the lexer, the parser, the AST and the code
    637 generator. The first step for adding our new 'var/in' construct is to
    638 extend the lexer. As before, this is pretty trivial, the code looks like
    639 this:
    640 
    641 .. code-block:: c++
    642 
    643     enum Token {
    644       ...
    645       // var definition
    646       tok_var = -13
    647     ...
    648     }
    649     ...
    650     static int gettok() {
    651     ...
    652         if (IdentifierStr == "in") return tok_in;
    653         if (IdentifierStr == "binary") return tok_binary;
    654         if (IdentifierStr == "unary") return tok_unary;
    655         if (IdentifierStr == "var") return tok_var;
    656         return tok_identifier;
    657     ...
    658 
    659 The next step is to define the AST node that we will construct. For
    660 var/in, it looks like this:
    661 
    662 .. code-block:: c++
    663 
    664     /// VarExprAST - Expression class for var/in
    665     class VarExprAST : public ExprAST {
    666       std::vector<std::pair<std::string, ExprAST*> > VarNames;
    667       ExprAST *Body;
    668     public:
    669       VarExprAST(const std::vector<std::pair<std::string, ExprAST*> > &varnames,
    670                  ExprAST *body)
    671       : VarNames(varnames), Body(body) {}
    672 
    673       virtual Value *Codegen();
    674     };
    675 
    676 var/in allows a list of names to be defined all at once, and each name
    677 can optionally have an initializer value. As such, we capture this
    678 information in the VarNames vector. Also, var/in has a body, this body
    679 is allowed to access the variables defined by the var/in.
    680 
    681 With this in place, we can define the parser pieces. The first thing we
    682 do is add it as a primary expression:
    683 
    684 .. code-block:: c++
    685 
    686     /// primary
    687     ///   ::= identifierexpr
    688     ///   ::= numberexpr
    689     ///   ::= parenexpr
    690     ///   ::= ifexpr
    691     ///   ::= forexpr
    692     ///   ::= varexpr
    693     static ExprAST *ParsePrimary() {
    694       switch (CurTok) {
    695       default: return Error("unknown token when expecting an expression");
    696       case tok_identifier: return ParseIdentifierExpr();
    697       case tok_number:     return ParseNumberExpr();
    698       case '(':            return ParseParenExpr();
    699       case tok_if:         return ParseIfExpr();
    700       case tok_for:        return ParseForExpr();
    701       case tok_var:        return ParseVarExpr();
    702       }
    703     }
    704 
    705 Next we define ParseVarExpr:
    706 
    707 .. code-block:: c++
    708 
    709     /// varexpr ::= 'var' identifier ('=' expression)?
    710     //                    (',' identifier ('=' expression)?)* 'in' expression
    711     static ExprAST *ParseVarExpr() {
    712       getNextToken();  // eat the var.
    713 
    714       std::vector<std::pair<std::string, ExprAST*> > VarNames;
    715 
    716       // At least one variable name is required.
    717       if (CurTok != tok_identifier)
    718         return Error("expected identifier after var");
    719 
    720 The first part of this code parses the list of identifier/expr pairs
    721 into the local ``VarNames`` vector.
    722 
    723 .. code-block:: c++
    724 
    725       while (1) {
    726         std::string Name = IdentifierStr;
    727         getNextToken();  // eat identifier.
    728 
    729         // Read the optional initializer.
    730         ExprAST *Init = 0;
    731         if (CurTok == '=') {
    732           getNextToken(); // eat the '='.
    733 
    734           Init = ParseExpression();
    735           if (Init == 0) return 0;
    736         }
    737 
    738         VarNames.push_back(std::make_pair(Name, Init));
    739 
    740         // End of var list, exit loop.
    741         if (CurTok != ',') break;
    742         getNextToken(); // eat the ','.
    743 
    744         if (CurTok != tok_identifier)
    745           return Error("expected identifier list after var");
    746       }
    747 
    748 Once all the variables are parsed, we then parse the body and create the
    749 AST node:
    750 
    751 .. code-block:: c++
    752 
    753       // At this point, we have to have 'in'.
    754       if (CurTok != tok_in)
    755         return Error("expected 'in' keyword after 'var'");
    756       getNextToken();  // eat 'in'.
    757 
    758       ExprAST *Body = ParseExpression();
    759       if (Body == 0) return 0;
    760 
    761       return new VarExprAST(VarNames, Body);
    762     }
    763 
    764 Now that we can parse and represent the code, we need to support
    765 emission of LLVM IR for it. This code starts out with:
    766 
    767 .. code-block:: c++
    768 
    769     Value *VarExprAST::Codegen() {
    770       std::vector<AllocaInst *> OldBindings;
    771 
    772       Function *TheFunction = Builder.GetInsertBlock()->getParent();
    773 
    774       // Register all variables and emit their initializer.
    775       for (unsigned i = 0, e = VarNames.size(); i != e; ++i) {
    776         const std::string &VarName = VarNames[i].first;
    777         ExprAST *Init = VarNames[i].second;
    778 
    779 Basically it loops over all the variables, installing them one at a
    780 time. For each variable we put into the symbol table, we remember the
    781 previous value that we replace in OldBindings.
    782 
    783 .. code-block:: c++
    784 
    785         // Emit the initializer before adding the variable to scope, this prevents
    786         // the initializer from referencing the variable itself, and permits stuff
    787         // like this:
    788         //  var a = 1 in
    789         //    var a = a in ...   # refers to outer 'a'.
    790         Value *InitVal;
    791         if (Init) {
    792           InitVal = Init->Codegen();
    793           if (InitVal == 0) return 0;
    794         } else { // If not specified, use 0.0.
    795           InitVal = ConstantFP::get(getGlobalContext(), APFloat(0.0));
    796         }
    797 
    798         AllocaInst *Alloca = CreateEntryBlockAlloca(TheFunction, VarName);
    799         Builder.CreateStore(InitVal, Alloca);
    800 
    801         // Remember the old variable binding so that we can restore the binding when
    802         // we unrecurse.
    803         OldBindings.push_back(NamedValues[VarName]);
    804 
    805         // Remember this binding.
    806         NamedValues[VarName] = Alloca;
    807       }
    808 
    809 There are more comments here than code. The basic idea is that we emit
    810 the initializer, create the alloca, then update the symbol table to
    811 point to it. Once all the variables are installed in the symbol table,
    812 we evaluate the body of the var/in expression:
    813 
    814 .. code-block:: c++
    815 
    816       // Codegen the body, now that all vars are in scope.
    817       Value *BodyVal = Body->Codegen();
    818       if (BodyVal == 0) return 0;
    819 
    820 Finally, before returning, we restore the previous variable bindings:
    821 
    822 .. code-block:: c++
    823 
    824       // Pop all our variables from scope.
    825       for (unsigned i = 0, e = VarNames.size(); i != e; ++i)
    826         NamedValues[VarNames[i].first] = OldBindings[i];
    827 
    828       // Return the body computation.
    829       return BodyVal;
    830     }
    831 
    832 The end result of all of this is that we get properly scoped variable
    833 definitions, and we even (trivially) allow mutation of them :).
    834 
    835 With this, we completed what we set out to do. Our nice iterative fib
    836 example from the intro compiles and runs just fine. The mem2reg pass
    837 optimizes all of our stack variables into SSA registers, inserting PHI
    838 nodes where needed, and our front-end remains simple: no "iterated
    839 dominance frontier" computation anywhere in sight.
    840 
    841 Full Code Listing
    842 =================
    843 
    844 Here is the complete code listing for our running example, enhanced with
    845 mutable variables and var/in support. To build this example, use:
    846 
    847 .. code-block:: bash
    848 
    849     # Compile
    850     clang++ -g toy.cpp `llvm-config --cppflags --ldflags --libs core jit native` -O3 -o toy
    851     # Run
    852     ./toy
    853 
    854 Here is the code:
    855 
    856 .. literalinclude:: ../../examples/Kaleidoscope/Chapter7/toy.cpp
    857    :language: c++
    858 
    859 `Next: Conclusion and other useful LLVM tidbits <LangImpl8.html>`_
    860 
    861